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scaling_mia_the_pile_00_DM_Mathematics

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007850? False Does 45 divide 130452525? True Is 24413400 a multiple of 54? True Is 224 a factor of 137561984? True Does 28 divide 34053908? True Is 6 a factor of 14211358? False Does 3 divide 198012533? False Is 7 a factor of 70734572? False Does 9 divide 18958023? True Is 41867820 a multiple of 2070? True Is 3 a factor of 1064009877? True Does 3399 divide 295460284? False Is 900 a factor of 103806657? False Does 434 divide 936400570? True Is 17031907 a multiple of 248? False Is 2035998920 a multiple of 63? False Does 878 divide 640519753? False Is 48 a factor of 119349346? False Is 13 a factor of 19247852? True Is 8421028 a multiple of 77? True Is 8375366 a multiple of 2052? False Is 42 a factor of 82266912? True Is 41889274 a multiple of 14? True Does 342 divide 15904250? False Is 2002 a factor of 6266425? False Is 58139974 a multiple of 73? True Is 5301 a factor of 2191428099? True Is 1246180317 a multiple of 381? False Does 6 divide 50883270? True Does 8 divide 125083664? True Does 16 divide 61563933? False Is 461 a factor of 52755804? False Is 2972989432 a multiple of 26? False Does 1298 divide 220539286? True Is 4982 a factor of 155668989? False Is 33116969 a multiple of 9? False Is 2585412027 a multiple of 81? True Is 19304615 a multiple of 6? False Is 15391876 a multiple of 9? False Does 510 divide 487740726? False Is 28067580 a multiple of 45? True Is 607 a factor of 3398860080? True Is 595357962 a multiple of 43? True Is 7 a factor of 92333915? False Does 2 divide 15089013? False Does 553 divide 1296305277? False Is 55415048 a multiple of 962? True Does 1589 divide 1559640160? False Is 159 a factor of 3218478? True Does 89 divide 485922467? True Is 259735112 a multiple of 5416? True Is 40251402 a multiple of 1155? False Does 242 divide 45427030? True Is 3226 a factor of 3746805440? True Is 46566660 a multiple of 47? True Is 110658 a multiple of 19? False Does 324 divide 4495176? True Is 9 a factor of 2544593? False Is 116188921 a multiple of 3? False Does 2100 divide 121607721? False Is 1452233325 a multiple of 1581? False Does 881 divide 906610670? True Is 383888 a multiple of 9? False Does 78 divide 347137198? False Does 998 divide 1951421? False Is 115 a factor of 3710919752? False Is 2553120837 a multiple of 27? True Is 543777474 a multiple of 3717? False Is 209615434 a multiple of 3626? True Is 55 a factor of 5382795? True Does 5 divide 7600500? True Is 37 a factor of 172642? True Is 530 a factor of 169496376? False Is 2280 a factor of 110835854? False Is 110 a factor of 628403064? False Is 526471372 a multiple of 28? True Does 16 divide 23926304? True Is 203499494 a multiple of 19? False Is 4417870 a multiple of 5? True Is 13 a factor of 10970237? False Is 25 a factor of 261122710? False Is 4426397 a multiple of 73? False Is 301 a factor of 114193257? False Is 800896089 a multiple of 928? False Does 2120 divide 55869162? False Does 4 divide 315284484? True Is 64193062 a multiple of 422? False Is 2390076699 a multiple of 1336? False Does 66 divide 166569259? False Is 150 a factor of 242966891? False Is 33964140 a multiple of 329? False Does 209 divide 369267651? False Is 8216028 a multiple of 4? True Does 178 divide 74804856? True Is 474 a factor of 23230740? True Is 1017073484 a multiple of 476? True Is 20 a factor of 43987699? False Does 3886 divide 409424014? False Is 6848 a factor of 89636599? False Is 746796900 a multiple of 74? True Is 22 a factor of 106810252? False Is 8 a factor of 661008064? True Is 239324173 a multiple of 1693? True Is 8 a factor of 138838880? True Does 6959 divide 506482979? True Does 7 divide 208942846? True Does 14 divide 234810805? False Is 1205 a factor of 198186383? False Is 20530887 a multiple of 15? False Is 1924 a factor of 33649786? False Is 19 a factor of 5128920496? True Does 27 divide 25534386? True Does 22 divide 154577325? False Is 2086 a factor of 127254344? True Is 16 a factor of 1839414928? True Is 2502 a factor of 83211110? False Is 6412064 a multiple of 151? True Is 318365688 a multiple of 1812? False Does 5 divide 1222494? False Is 28 a factor of 103803672? True Is 131242009 even? False Is 335710248 a multiple of 503? True Does 2029 divide 2111719? False Is 54 a factor of 71239554? True Is 640315272 a multiple of 8? True Is 1577 a factor of 66541265? False Is 558 a factor of 1590928369? False Does 1025 divide 64085050? True Does 3585 divide 155022570? True Is 7 a factor of 157509435? False Is 68 a factor of 6319584? False Is 110 a factor of 111109130? True Does 1105 divide 225220833? False Is 135004367 a multiple of 2753? True Is 191632008 a multiple of 73? True Is 1339 a factor of 468577694? True Is 7 a factor of 355087901? True Does 3463 divide 120451465? False Is 119624404 a multiple of 122? False Is 21 a factor of 12882156? True Does 35 divide 7563430? True Is 200466172 a multiple of 13? False Does 63 divide 35106329? False Does 7 divide 16440144? True Does 773 divide 916374494? True Is 4559 a factor of 4275518590? False Is 393 a factor of 9759796? False Is 40800710 a multiple of 2? True Does 1239 divide 540882916? False Does 6996 divide 1361204724? True Does 11 divide 53151647? False Is 188595900 a multiple of 2421? True Does 178 divide 222070206? False Does 14 divide 5211581522? True Does 36 divide 47355804? True Does 9 divide 166681953? True Does 8 divide 2915617321? False Is 71 a factor of 319696031? True Is 1150875 a multiple of 22? False Is 351123551 a multiple of 13? False Is 14082 a factor of 865613175? False Does 836 divide 24803913? False Is 2 a factor of 240850? True Is 318738277 a multiple of 1208? False Is 2408 a factor of 19309752? True Is 62 a factor of 33610944? True Is 64319542 a multiple of 677? False Does 10 divide 1332079100? True Is 402346494 a multiple of 18? True Does 23 divide 1025423115? False Does 244 divide 112258544? True Does 770 divide 729392510? True Is 149974356 a multiple of 21? True Is 3995009744 a multiple of 9484? False Is 27311922 a multiple of 509? True Is 139452386 a multiple of 100? False Is 21 a factor of 365381919? True Is 433709083 a multiple of 22? False Does 63 divide 2861534695? False Is 2025 a factor of 6662250? True Is 63724977 a multiple of 29? True Does 202 divide 125162844? False Is 20578191 a multiple of 1344? False Does 601 divide 107587414? True Is 70 a factor of 15007174? False Is 59 a factor of 3821607? True Is 74749619 a multiple of 7? True Does 11 divide 26384171? True Does 56 divide 45173449? False Does 8 divide 153371136? True Does 2524 divide 70700029? False Is 39 a factor of 289590990? True Is 63702018 a multiple of 18? True Is 575434469 a multiple of 64? False Is 8590229 a multiple of 218? False Is 42282480 a multiple of 15? True Is 43744500 a multiple of 60? True Does 2678 divide 1514553612? True Is 131112707 a multiple of 4871? True Does 131 divide 567791896? False Is 2048 a factor of 13322240? True Is 1967 a factor of 89092269? False Is 42799185 a multiple of 15? True Is 40952745 a multiple of 51? True Is 35752040 a multiple of 1570? True Is 59846200 a multiple of 25? True Does 12 divide 1475859876? True Is 11792855 a multiple of 15? False Is 1615008 a multiple of 24? True Does 2398 divide 1762942988? False Is 270650336 a multiple of 341? True Is 7461534 a multiple of 70? False Is 230 a factor of 70963280? True Does 2558 divide 527118894? False Is 13 a factor of 43144153? True Is 35 a factor of 527859099? False Does 29 divide 635137096? False Is 25410658 a multiple of 4? False Does 1983 divide 54248931? True Is 866454783 a multiple of 104? False Is 20 a factor of 79765240? True Does 1897 divide 507695239? False Is 81938688 a multiple of 974? False Does 744 divide 487137720? True Is 1057 a factor of 8865983? False Is 673 a factor of 1577817? False Is 23 a factor of 7573900? True Does 5 divide 13462855? True Is 116746324 a multiple of 11? False Is 21939159 a multiple of 98? False Does 26 divide 35564698? True Is 643111710 a multiple of 10? True Does 80 divide 729135253? False Is 51 a factor of 2575510043? False Does 671 divide 514864? False Is 2132261116 a multiple of 5058? False Is 56748269 a multiple of 179? False Is 120 a factor of 185475240? True Is 41813377 a multiple of 7? False Is 16641897 a multiple of
{ "pile_set_name": "DM Mathematics" }
e the first derivative of -3 + 0*w**2 + 0*w**3 - 3/5*w**5 + 2*w + 0*w**4. Find the first derivative of v(a) wrt a. -12*a**3 What is the second derivative of -10*l - 2*l**4 + 12*l**2 + 4*l**2 - 16*l**2 wrt l? -24*l**2 Let z = 6 - 5. Suppose b + z = 4. Differentiate -3 - 4*g**3 + 5 + 3*g**b + 0 with respect to g. -3*g**2 Let j(d) be the third derivative of 0*d**4 + 1/15*d**5 + 0*d**3 + 1/40*d**6 + 0 + d**2 + 0*d. What is the third derivative of j(g) wrt g? 18 Let s(k) be the second derivative of k**5/20 - k**3/2 + 3*k**2/2 - 2*k. Let i(v) be the first derivative of s(v). What is the derivative of i(o) wrt o? 6*o Let b(m) be the second derivative of 9*m**4/4 + 45*m**2/2 + 5*m. Differentiate b(r) with respect to r. 54*r Find the third derivative of 373 - 4*m**3 - 373 + 4*m**2 wrt m. -24 Let s(y) be the first derivative of -4 + 0*y**2 + 2/3*y**3 + y. Differentiate s(i) with respect to i. 4*i Let w(m) = -m**2 + 3. Let o be w(-6). Let d = o + 82. What is the third derivative of d - f**2 - f**5 - 49 wrt f? -60*f**2 Let t(n) be the second derivative of -n**4/2 - 5*n**3/6 + 8*n. What is the second derivative of t(c) wrt c? -12 Suppose -2*t - 3*t = -15. What is the second derivative of 9*c**2 - 4*c - 3*c**2 + t*c + 3*c wrt c? 12 Find the third derivative of -17*k**2 - k - 50*k**3 + 1897 - 1897 wrt k. -300 Let t = 4 + 1. What is the third derivative of -6*v**2 - 2*v**2 + 2*v**2 - 5*v**t + 2*v**2 wrt v? -300*v**2 Let f(n) = -n**2 - 2*n - 1. Suppose 2*j - 3 = 5*j. Let o be f(j). Find the second derivative of 4 + o - 4 - h - 2*h**2 wrt h. -4 What is the second derivative of -36*d**2 - 6*d - d + 16*d + 29*d wrt d? -72 Let k(q) be the third derivative of 0*q**3 + 5*q**2 + 1/24*q**4 + 0 + 0*q - 1/15*q**5. Find the second derivative of k(f) wrt f. -8 Let t(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w**2 - 1/3*w**3 + 0*w + 0*w**6 - 3 - 6/7*w**7. What is the third derivative of t(s) wrt s? -720*s**3 Find the third derivative of 8*h**6 + 6*h**6 - 21*h**2 + 13*h**2 + 22*h**2 wrt h. 1680*h**3 Suppose -16 = -5*x + 2*y + 4, -5 = y. Find the third derivative of 3 - 5 - 2*s**2 + x - 4*s**4 wrt s. -96*s Let f(q) = 2*q - 8. Let s be f(5). Let r(z) = -z**2 + 4*z. Let x be r(4). Find the second derivative of 2*t**s - t + 0*t + x*t**2 wrt t. 4 Let u(o) be the third derivative of -o**6/24 - 7*o**5/30 + 26*o**2. What is the third derivative of u(w) wrt w? -30 Let q be ((-24)/20)/(3/(-10)). Suppose 2*n + 14 = 2*d, 6*d - 3*d - q*n = 24. Find the third derivative of y**2 + 5*y**6 - d*y**6 - 2*y**2 wrt y. 120*y**3 Suppose n + 1 = -5*r, -2*r + 8 = 3*n + 2*r. What is the derivative of -4 - s**4 + 0*s**n + 5 + 2*s**4 wrt s? 4*s**3 Let h(c) = c**2 + c - 1. Let d(y) = -17*y**5 + 34*y**2 - 2*y + 2. Let q(n) = d(n) + 2*h(n). What is the third derivative of q(a) wrt a? -1020*a**2 Suppose -4*v = x - 18, v = -2*x - 2*x + 12. Suppose -2*d + 12 = x. What is the third derivative of 2*l**3 - 2*l**3 - 3*l**d - 2*l**2 wrt l? -180*l**2 Let p(t) = 28*t + 21. Let b(m) = m + 1. Let o(n) = -5*b(n) + p(n). Differentiate o(f) with respect to f. 23 Let v(p) be the second derivative of 0*p**4 - 1/60*p**5 - 1/3*p**3 + 0 - 2*p - 1/2*p**2. Let c(w) be the first derivative of v(w). Differentiate c(x) wrt x. -2*x Let a be -3*(10/(-3) + 2). What is the third derivative of -402*l + 402*l + a*l**2 - 7*l**3 wrt l? -42 What is the second derivative of 10*t - 22*t**3 - 24*t - 9*t wrt t? -132*t What is the second derivative of 2*y + 2 - 4*y + y**4 + 1 - 12*y**4 wrt y? -132*y**2 Let b(o) be the first derivative of 0 - 67*o**4 + 68*o**4 - 2 - 5*o. Differentiate b(c) with respect to c. 12*c**2 Suppose t + 10 = 6*t. Find the third derivative of -z**4 - z**4 + 4*z**4 - 4*z**t + 5*z**2 wrt z. 48*z Let b = -1/18 + 5/9. Let r(h) be the first derivative of 2*h + 0*h**2 + 2 + 0*h**3 - b*h**4. Differentiate r(n) with respect to n. -6*n**2 Let s be 3/3 - (1 - 2). Differentiate -3 + 0*m**2 - 2*m**3 + 0*m**s + 6 with respect to m. -6*m**2 Let t = -9 + 13. Find the third derivative of -2*m**2 + 0*m**t - 5*m**4 - 2*m**2 wrt m. -120*m Let z(f) be the first derivative of 0*f**4 + 0*f**2 + 0*f**3 - 3*f + 4 + 4/5*f**5. What is the derivative of z(c) wrt c? 16*c**3 Let z(u) = -u**4 + u**3 - u**2 - u + 1. Let d(b) = -66*b**4 + 3*b**3 - 5*b**2 - 3*b + 23. Let v(h) = -d(h) + 3*z(h). What is the third derivative of v(m) wrt m? 1512*m Let i(t) be the first derivative of 19*t**5/5 + 5*t + 20. Differentiate i(v) wrt v. 76*v**3 Let r(a) be the first derivative of 2*a**3/3 + 3*a**2/2 + 6. Find the second derivative of r(c) wrt c. 4 Suppose -2*t = -3*d + 8*d - 18, -3*t = 4*d - 13. Let q be 6/(-2 + t)*-2. What is the third derivative of w**4 + 5*w**2 - 2*w**q - 4*w**2 wrt w? -24*w Find the third derivative of 6*c**4 - 4*c**4 - 1 + 9*c**6 - 55*c**2 + 54*c**2 + c**6 wrt c. 1200*c**3 + 48*c Find the first derivative of 46*b**3 + 15 - 46*b**3 + 17*b**4 wrt b. 68*b**3 Let p(a) = -23*a. Let c(o) = 47*o + 1. Let g(x) = -4*c(x) - 9*p(x). Differentiate g(v) wrt v. 19 Find the first derivative of -1984*y**3 - 16 + 1947*y**3 - 5 wrt y. -111*y**2 Let w(p) be the second derivative of -p**10/5040 + p**6/360 + p**3/2 - 2*p. Let n(q) be the second derivative of w(q). Find the third derivative of n(l) wrt l. -120*l**3 Differentiate -7 - u**3 - 109*u**2 + 109*u**2 wrt u. -3*u**2 Let r(z) be the second derivative of 2*z**4/3 - 2*z**2 - 11*z. Find the first derivative of r(i) wrt i. 16*i Let i(g) be the second derivative of 11*g**6/15 - 5*g**3/6 + 19*g. What is the second derivative of i(q) wrt q? 264*q**2 Let n = -3 + 7. Suppose -16 = -5*u + n. Differentiate 3*k**2 + 3*k**3 + k**2 - u*k**2 + 1 with respect to k. 9*k**2 Differentiate -9 + 3*u**4 - u**4 + 4*u**4 + 6*u**4 wrt u. 48*u**3 What is the second derivative of 2*h**2 - 4*h**2 + 0*h**2 + 2*h + 7*h wrt h? -4 Suppose -3*f + 4 = -11. Suppose 2*w = -l - 8, -3*l + 4 + 27 = -f*w. Find the third derivative of 0*j**2 + j**2 - l*j**2 - j**4 wrt j. -24*j What is the derivative of -22*o**4 - 2*o**4 + 37*o**4 - 3 wrt o? 52*o**3 Let z(m) be the second derivative of -3*m**5/5 + m**4/2 + 4*m. What is the third derivative of z(y) wrt y? -72 Let m(v) be the third derivative of 0*v + 1/24*v**6 + 0*v**3 + 0*v**4 - 1/20*v**5 + 0 - 9*v**2. What is the third derivative of m(z) wrt z? 30 What is the third derivative of -9*c**5 + 367 - 8*c**2 - 367 wrt c? -540*c**2 Find the second derivative of -26*b**3 - 58*b - 9*b**3 + 24*b wrt b. -210*b Let d(p) be the second derivative of p**5/4 - p**4/6 + 5*p. Find the third derivative of d(t) wrt t. 30 Let s(u) be the third derivative of -u**7/210 - u**3/6 + 2*u**2. Differentiate s(l) wrt l. -4*l**3 Let x(a) = a**2 + 7*a + 9. Let i be x(-6). Differentiate -3 + 2*m**4 - 26*m**3 + 26*m**i wrt m. 8*m**3 Suppose 0 = -r - 2*n - 3*n - 21, -n - 7 = 3*r. Let a be r - -1 - (-4 - 1). Find the third derivative of -g**2 - 6*g**3 + a*g**3 + 2*g**3 wrt g. 6 Let y(q) be the second derivative of 7*q**3/2 + 16*q**2 - 16*q. Differentiate y(m) with respect to m. 21 Let k = 8 - 16. Let x(z) = -3 + 12*z + 0*z**2 - 5*z**2 - 4*z. Let p(m) = 3*m**2 - 5*m + 2. Let j(i) = k*p(i) - 5*x(i). Differentiate j(o) wrt o. 2*o Let w(s) be the second derivative of -s**7/840 + s**5/30 + 5*s**4/12 - 6*s. Let i(v) be the third derivative of w(v). What is the derivative of i(t) wrt t? -6*t Let r(s) be the first derivative of 0*s + 1 - 3/5*s**5 - s**2 + 0*s**3 + 0*s**4. What is the second derivative of r(v) wrt v? -36*v**2 Find the second derivative of -21*h**2 - 25*h**2 + 12*h + 46*h**2 - 10*h**3 wrt h. -60*h Let t(f) be the second derivative of -3*f**5/20 - 3*f**3/2 + f. What is the second derivative of t(a) wrt a? -18*a Let x(d) = 3*d**4 + 2*d**3 + 2*d**2 - 10*d. Let u(g) = 12*g**4 + 9*g**3 + 9*g**2 - 41*g. Let m(p) = 2*u(p) - 9*x(p). Find the second derivative of m(v) wrt v. -36*v**2 Let j(p) = -8*p**3 + 5*p**2 - 15*p. Let x(w) = -9*w**3 + 6*w**2 - 16*w. Let n(r) = 6*j(r) - 5*x(r). Find the second derivative of n(h) wrt h. -18*h Let y(h) be the second derivative of h**8/56 - h**4/4 - 11*h. What is the third derivative of y(i) wrt i? 120*i**3 Let f(z) be the first derivative of 4*z**3 - 7*z**2/2 - 15. Find the second derivative of f(h) wrt h. 24 Let q(m) be the first derivative of 0*m**3 - 7 + 0*m - 1/2*m**2 + m**4. What i
{ "pile_set_name": "DM Mathematics" }
5. Suppose 8 = 3*x - 4. Suppose -3 = x*k - 3*k - i, 2*k - 5*i = 3. Let q(c) = -2*c - 3. Calculate k*y(n) + 10*q(n). -2*n Let n(x) = 10*x - 16. Let r(h) = 2*h - 3. Let g(s) = -s**3 - 2*s**2 - 3*s - 3. Let v be g(-2). Give v*n(a) - 16*r(a). -2*a Let o(l) = l - 1. Let y(n) = n. Give o(u) - 3*y(u). -2*u - 1 Let v be (2 - (0 - 0)) + 2. Let f(p) = 6*p - 4. Let i(w) = -w**3 - 6*w**2 - 5*w - 25. Let a be i(-6). Let l(c) = -7*c + 5. What is a*f(j) + v*l(j)? 2*j Let w(v) = 30*v**3 - 33*v**2 - 33*v - 33. Let a(l) = -l**3 + l**2 + l + 1. Determine 66*a(r) + 2*w(r). -6*r**3 Let c(w) = -17*w**3 + 2*w**2 + 2*w - 3. Let s(v) = -52*v**3 + 5*v**2 + 6*v - 8. Give -8*c(p) + 3*s(p). -20*p**3 - p**2 + 2*p Let j be (2 + -5)*-2 + -4. Let b(x) = -4*x**2 + 2. Let f(z) = 20*z**2 - 11. Calculate j*f(d) + 11*b(d). -4*d**2 Let g(p) = p. Let u(q) = -3*q**2 - 4*q - 2. Let y(h) = h**3 + 8*h**2 + 8*h + 3. Let d be y(-7). Calculate d*g(w) - u(w). 3*w**2 + 2 Let t(u) = 17*u + 3. Let h(a) = 67*a + 13. Determine -2*h(z) + 9*t(z). 19*z + 1 Let i(d) = -7*d**2 + 6*d - 3. Let k(g) = -g**2 - 12*g + 9. Let w(o) = 11*o - 8. Let r(h) = 6*k(h) + 7*w(h). Determine -4*i(v) + 5*r(v). -2*v**2 + v + 2 Suppose 20 = -8*x + 3*x. Let j be x/(-14) + 32/(-14). Let r(y) = 8*y - 5. Let i(p) = -2*p + 1. Calculate j*r(b) - 9*i(b). 2*b + 1 Let g(k) = k. Let h(c) = -20*c**2 - 2*c. Determine -10*g(w) - 5*h(w). 100*w**2 Let z(j) = -2 + 2*j + 0 + 3. Let q(w) = w + 2. Let v(h) = -2*h - 5. Let r(g) = 11*q(g) + 4*v(g). Determine -4*r(p) + 7*z(p). 2*p - 1 Let v be (0/(-6 - -2))/1 + 5. Let z(h) = -h**2 - h. Let d(r) = r**3 - 5*r**2 - 7*r - 1. Give v*z(k) - d(k). -k**3 + 2*k + 1 Let r(y) = -5*y. Let w(l) = 8*l + 11*l - 20*l. Give 2*r(p) - 4*w(p). -6*p Let c(l) = -7*l**3 + 4. Let g = 8 + 1. Let m(j) = -15*j**3 + 9. Give g*c(q) - 4*m(q). -3*q**3 Let i(c) = -5*c + 4. Let o(g) = -g + 2 - 11 + 10. Calculate i(z) - 3*o(z). -2*z + 1 Let s(d) = 7*d**3 - 3*d**2 - 3. Let l(y) = -20*y**3 + 10*y**2 + 10. Give 3*l(x) + 10*s(x). 10*x**3 Let z(l) = 12*l**2 + 21*l - 45. Let w(g) = -3*g**2 - 5*g + 11. Let s(v) = -21*w(v) - 5*z(v). Let h(o) = 1. Give 6*h(c) + s(c). 3*c**2 Let d(y) = -2*y + 4. Let z(v) = v + 11. Suppose -2*j - 28 = j - a, -3*a = j + 16. Let m be z(j). Let p(l) = 4 - 6 - 8 - m + 5*l. Give 8*d(k) + 3*p(k). -k - 1 Suppose -2*j = 2 - 6. Let x(d) = 1 + 2*d**j + 2 + d**3 - 5*d**2. Suppose 36 = 4*y + 16. Let q(g) = -g**3 + 5*g**2 - 5. Give y*x(z) + 3*q(z). 2*z**3 Suppose -2 - 7 = -t - 5*y, -y + 5 = t. Let c(r) = -2*r**2 + 3*r - 2. Let z(b) = 3*b**2 - 4*b + 2. Calculate t*c(h) + 3*z(h). h**2 - 2 Let y(v) = 24*v. Let g(r) = -r. Determine g(m) - y(m). -25*m Let i(w) = 1. Let r(k) = -2*k. Let y(d) be the first derivative of -d**3/3 - 11*d**2/2 - d - 3. Let s(p) = -11*r(p) + 2*y(p). Calculate 2*i(o) + s(o). -2*o**2 Let p(j) = j**3 + j**2 + j + 2. Let v be p(0). Let m = -6 - v. Let g(i) = -3*i + 8. Let q(f) be the first derivative of -f**2/2 + 3*f + 1. Give m*q(z) + 3*g(z). -z Let p = -8 + 11. Let m(j) = -2*j. Let w(k) = 6*k. Let q(z) = 10*m(z) + 3*w(z). Let x(c) = -2*c - 2*c + 5*c. What is p*q(n) + 5*x(n)? -n Let c(q) = -6*q + 3. Let v(j) = 12*j - 7. What is -5*c(n) - 2*v(n)? 6*n - 1 Let n(j) = 2945*j**3 - 2935*j**3 - 3 + 11*j**2 - 2 + 5. Let b(r) = -2*r**3 - 2*r**2. Let f be 2/(-6) + 64/(-6). Give f*b(q) - 2*n(q). 2*q**3 Let p(v) = v + 7. Let d(x) = -1. Suppose 5*r - 22 = -b, -5*r = 3*b + b - 28. Let a be (0 - -1)/(1 - b). What is a*p(i) - 5*d(i)? -i - 2 Let v(n) be the second derivative of 0 + 0*n**2 - 1/12*n**4 - 1/20*n**5 - 1/6*n**3 + 2*n. Let c(y) = y**3 + 3*y**2 + 2*y. Calculate c(g) + 3*v(g). -2*g**3 - g Let l(v) = 17*v - 11. Suppose 4*w = -w - 30. Let m(h) = -8*h + 4 + 5 - 4. Calculate w*l(c) - 13*m(c). 2*c + 1 Let p(z) = 11*z + 3. Let d(f) = f. Give -4*d(g) + p(g). 7*g + 3 Let c(t) = -50*t**3 - 3*t**2 - 11*t - 11. Let v(m) = 17*m**3 + m**2 + 4*m + 4. Give 4*c(q) + 11*v(q). -13*q**3 - q**2 Let v(i) be the second derivative of i**2/2 + 8*i. Let t(q) = 3*q**2 - 6. Give t(u) + 5*v(u). 3*u**2 - 1 Let w(n) = n**3 + 5*n**2 - 8*n - 8. Let q be w(-6). Let c(y) = y + 4*y - q + 5 + 5. Let u(b) = -4*b - 5. Determine 5*c(h) + 6*u(h). h Suppose -2*b + b = -3. Let y(q) = -2*q**3 + 3*q**2 - q - 2. Let g(z) = -7*z**2 + 2*z**2 + 4*z**3 - z**3 + 3 + z. What is b*g(l) + 5*y(l)? -l**3 - 2*l - 1 Let h(w) = 5*w + 13. Let m(z) = 16*z + 38. Give -10*h(r) + 3*m(r). -2*r - 16 Let d(t) = -2*t + 2. Let a(h) = h**3 - 5*h**2 + 6*h - 11. Let k be a(4). Let b(u) = 1. Determine k*b(v) + d(v). -2*v - 1 Let q(s) = 7*s**3 + s**2 + 2*s + 6. Let j(f) = f**3 + 1. Suppose -5*z = k + 3*k + 5, 0 = 3*z + 2*k + 3. Determine z*q(p) + 6*j(p). -p**3 - p**2 - 2*p Let t(w) = 152*w**2 + 14. Let c(b) = 51*b**2 + 5. Calculate -14*c(g) + 5*t(g). 46*g**2 Let v(w) = -284*w - 16. Let h(a) = 189*a + 10. Give 8*h(t) + 5*v(t). 92*t Let v(s) = -3 - 1 + 7 - 2. Let l(q) = -q + 5. Give -l(p) + 3*v(p). p - 2 Let m(x) = -21*x - 2. Let u(o) = 64*o + 7. What is 21*m(h) + 6*u(h)? -57*h Let k(t) = -8*t**3 + 4*t**2 - t + 2. Let l(q) = -q**3 + q**2 + 1. Calculate k(r) - 4*l(r). -4*r**3 - r - 2 Let p(m) = 12*m**2 - m + 2. Let z(n) = n**2 - n. Give p(f) - 3*z(f). 9*f**2 + 2*f + 2 Let d(c) = -5*c - 4 + 4*c + 5*c. Suppose 2 = -5*y - 5*t + 17, -2*t - 14 = -2*y. Let b(n) = -6*n + 6. What is y*b(w) + 7*d(w)? -2*w + 2 Let l(f) = -3*f**3 + 4*f - 3. Let a(w) = -4*w**3 + 5*w - 4. Determine -4*a(s) + 5*l(s). s**3 + 1 Let h(y) = -y**2 - 3*y - 3. Let m(c) = c - 5. Suppose 0 = -3*b - 3*l + 24, -b = -0*l - l - 4. Let v be m(b). Let t(i) = -i - 1. Give v*h(o) - 3*t(o). -o**2 Let t(w) = w**3 + 12*w**2 - 12*w - 1. Let m be t(-13). Let l(j) = 12*j. Let h(g) = -4*g. Give m*h(y) - 5*l(y). -4*y Let s(g) = -g - 3. Let x(f) = -2*f - 7. Let w(i) = 5*s(i) - 2*x(i). Let y(v) = 2*v - 3. What is -w(a) + y(a)? 3*a - 2 Let w(t) = -2*t**2 - 2*t - 5. Let b(a) = a**2 + a + 3. Calculate 7*b(x) + 4*w(x). -x**2 - x + 1 Let l(f) = f**3 + 2*f**2 + 3*f - 3. Let n(x) = x**3 + x**2 + x - 1. Let v(m) = m**2 - 21*m + 71. Let p be v(17). Give p*n(z) - l(z). 2*z**3 + z**2 Let q(y) = -8*y - 6. Let g(m) = -m - 1. Determine -5*g(p) + q(p). -3*p - 1 Let d(q) = q**3 + q. Let c(a) = -3*a**3 + 43*a**2 - 2*a. Determine 2*c(t) + 4*d(t). -2*t**3 + 86*t**2 Suppose 2 = -2*z + z. Let h(b) = 3*b**2 - 3*b + 4. Let q(y) = -4*y**2 + 3*y - 5. Give z*q(i) - 3*h(i). -i**2 + 3*i - 2 Let v(b) = -6*b**2 + 6*b - 9. Let h(k) = k**2 + 1. Determine 4*h(i) + v(i). -2*i**2 + 6*i - 5 Let w(h) = -3*h - 6. Let i(k) be the first derivative of k**4/12 + k**3/2 - 9*k**2/2 + 7. Let p(c) be the second derivative of i(c). What is -5*p(d) - 3*w(d)? -d + 3 Let f(h) = 4*h**2 + 1. Let c be f(1). Suppose c*n = n - 20. Let j(z) = 7*z - 5. Let p(k) = -8*k + 6. Determine n*p(s) - 6*j(s). -2*s Let m(t) = 5*t**3 + 3*t**2 + 6*t - 1. Let n(x) = -x**3 - x. Determine m(f) + 6*n(f). -f**3 + 3*f**2 - 1 Let w(p) = -p**3 + p**2 - p + 1. Let j(u) = 3*u**3 + 11*u**2 + 4*u - 5. Calculate j(v) + 5*w(v). -2*v**3 + 16*v**2 - v Let z(o) = -9*o**2 - 3*o - 2. Let a(q) = -5*q**2 - q - 1. Determine -5*a(y) + 3*z(y). -2*y**2 - 4*y - 1 Let a(r) = -13*r + 5. Let s(c) = 7*c - 3. Calculate 6*a(g) + 11*s(g). -g - 3 Let y = 55 - 59. Let v(b) = -3*b**2 + 5*b + 6. Let f(q) = -2*q**2 + 4*q + 5. Let m(d) = -d**3 - 4*d**2 - d - 1. Let t be m(-4). Determine t*v(j) + y*f(j). -j**2 - j - 2 Let y(r) = -r**3 - 5*r - 45. Let a(g) = -2*g**3 - 9*g - 90. Calculate 3*a(v) - 5*y(v). -v**3 - 2*v - 45 Let v(a) = a**2 - a. Let y = 7 - 13. Let u(h) = -6*h + 7*h**2 + 0*h + h**2. Determine y*v(t) + u(t). 2*t**2 Suppose 0 = -2*q - 2, 2*q - 5*q + 7 = 2*l. Let x(b) = 7. Let v(y) = 1. Let t(n) = -6*v(n) + x(n). Let u(r) = r**2 - 2*r - 7. Give l*t(k) + u(k). k**2 - 2*k - 2 Let g(w) = -w**2 + 2*w. Let h(l) = -l. Let k(d) = -d**3 - 12*d**2 + 12*d - 7. Let m be k(-13). Determine m*h(y) + 3*g(y). -3*y**2 Let m(v) = -8*v - 19 - 12 + 45. Let l(f) = -3*f + 5. Determine 11*l(k) - 4*m(k). -k - 1 Let p(j) = j**2 + j - 7. Let k(w) = -1. Let h = 5 - -9. Suppose 3*x = -0*x - 6. Give h*k(a) + x*p(a). -2*a**2 - 2*a Let x(k) = 5*k**2 - k. Let f(j) = j**2. Calculate 35*f(h) - 5*x(h). 10*h**2 + 5*h Let x(a) = 3*a - 9*a + 1 - 6*a**3 + 11*a**3 + 4*a**2. Suppose 0 = 2*c + c - 27. Let w(n) = 11*n**3 + 9*n**2 - 13*n + 2. Determine c*x(r) - 4*w(r). r**3
{ "pile_set_name": "DM Mathematics" }
, -25 = 5*y - 10*y + 5*m. What is the units digit of y? 1 Suppose -2*c - 2*x = -708, -5*c = 2*x - 1358 - 403. What is the tens digit of c? 5 Let b(h) = -648*h + 6. What is the hundreds digit of b(-3)? 9 Suppose -3*x + 2*v = -54, 6*x - x = -2*v + 74. Let g = 20 - 26. Let r = x + g. What is the tens digit of r? 1 Let m(q) = 12*q - 63. Let k be m(7). What is the tens digit of 2922/k - ((-60)/21 + 3)? 3 Let p(d) = d**2 - 6*d + 11. Let x be p(6). Suppose 3*z + v = x, -2*z + 4*v + 4 = 6. Suppose -31 = z*l - 97. What is the units digit of l? 2 Let l = -18 - -21. Let d(u) = 2*u - 4 + u**2 - u**2 - 2*u**3 + u**l. What is the tens digit of d(-3)? 1 Let g = 691 - -710. What is the hundreds digit of g? 4 Suppose -8 = -4*r, -r - 6 = -4*u - 4. Let f(y) = 23*y**2 + 4*y - 3. Let s(c) = 69*c**2 + 13*c - 10. Let x(i) = 7*f(i) - 2*s(i). What is the units digit of x(u)? 4 Suppose 0*r = r. Suppose 4*t + r*t = 32. Let s(m) = 5*m + 8. What is the units digit of s(t)? 8 Let a(r) = 9*r - 8. Let b be a(4). Let l be b/35 + (-109)/5. Let j = l - -41. What is the units digit of j? 0 Let n(l) = -l - 2. Let z be n(2). Let c be -3 - (z + 3) - -52. Let b = c - 33. What is the tens digit of b? 1 Suppose -3048 = -25*i + 1977. What is the hundreds digit of i? 2 Let b be ((-17)/51)/(2/(-30)). Suppose 0 = 2*o + 3 + b, 2*o = k - 10. What is the units digit of k? 2 Let j(w) = 266*w - 156. What is the thousands digit of j(10)? 2 Suppose 2*k + 12*k - 6328 = 0. What is the units digit of k? 2 Let m be (-11 - -188)/(3/2). Let v = m + -59. Let n = 98 - v. What is the units digit of n? 9 Let b(o) = 15*o**2 + 10. What is the thousands digit of b(-12)? 2 Suppose y - 5397 = -4*c, -23*c + 5*y = -27*c + 5417. What is the hundreds digit of c? 3 Suppose 0 = -29*d + 23*d + 1062. What is the units digit of d? 7 Let b = 337 + -191. What is the tens digit of b? 4 Let t(q) = -3*q**3 - 5*q**2 + 3*q + 20. Suppose 0 = -7*l - 6 - 22. What is the tens digit of t(l)? 2 What is the units digit of 477 + (-7 - 2/(-1))? 2 Let d be (-12)/((-4*2)/4). Suppose -42 = 2*g + d. Let l = -8 - g. What is the tens digit of l? 1 Let q = 112 + -58. Let z(i) = -44*i**3 + i + 0 - 2 + q*i**3. What is the units digit of z(1)? 9 Suppose v - 450 = -v. Suppose -5*t - 2*h + v = -5*h, -3*h = 4*t - 153. Suppose -11*y + 14*y = t. What is the units digit of y? 4 Suppose 4*a + 41 = 5*l, 5*a - 52 = -3*l - 20. Suppose 3*g - 4*m = -2*m + 3, 2*g = -4*m - 14. What is the units digit of l/(-2 - g)*-1? 9 Suppose 118*f - 146*f + 66696 = 0. What is the units digit of f? 2 Suppose -10*n + 5197 + 813 = 0. What is the hundreds digit of n? 6 Let j = 3594 - 597. What is the units digit of j? 7 Let o be -3 + -2 + -224 - 5. Let r = 430 + o. What is the hundreds digit of r? 1 Suppose 3*y + 45 = 4*y - 5*b, 4*y - 2*b = 90. Suppose -5*r - y = 0, 0 = -0*g + 3*g + 2*r - 49. Let a = 28 - g. What is the units digit of a? 9 Suppose 3*j + 4*x = 2006, 3*j - 4*x - 396 = 1570. What is the units digit of j? 2 Suppose 4*v - 9*j - 12924 = -10*j, -3*v = 4*j - 9706. What is the hundreds digit of v? 2 Let f(a) = -103*a**2 - 13*a - 17. Let x(g) = 69*g**2 + 9*g + 11. Let y(h) = 5*f(h) + 8*x(h). What is the hundreds digit of y(-2)? 1 Suppose 2*l + 2*l - 3*n - 39 = 0, -3*l - 7 = 5*n. What is the units digit of (-266)/(-30) + l/45? 9 Suppose -7 = 5*u - 27. Suppose 0*z = 4*z - 4*c - 520, -3*z + 362 = u*c. What is the hundreds digit of z? 1 Let b be 0/2 + 7 - 1. Suppose 3*n - 13*n = 40. Let l = b + n. What is the units digit of l? 2 What is the units digit of (4 + (1064 - -4))/2? 6 Let a(p) = -7*p**2 + 5*p + 3. Let t(m) = -6*m**2 + 5*m + 4. Let u(n) = 5*a(n) - 6*t(n). What is the hundreds digit of u(-9)? 1 Let s be ((-6)/(-15))/((-1)/(-10)). What is the tens digit of s/10 + 183/5? 3 Let c = -151 + 466. Suppose -9*w + 567 = -c. What is the tens digit of w? 9 Let n = -94 + 168. Let b = 104 - n. Let c = -20 + b. What is the tens digit of c? 1 Suppose 0 = 64*k - 24*k - 36600. What is the tens digit of k? 1 Let q(h) = 152*h - 40. What is the tens digit of q(2)? 6 Let l = 1 + 8. Let d = 10 + l. Let k = d - 18. What is the units digit of k? 1 Let r = -356 + 958. What is the units digit of r? 2 Let v = -67 + 61. Let s(j) = -j**3 - 5*j**2 - 9*j - 5. What is the tens digit of s(v)? 8 Let i be (-20)/(-6)*2/((-4)/(-3)). Suppose i*v + 6*g - 606 = 2*g, -5*v + g + 586 = 0. What is the hundreds digit of v? 1 Let a(k) be the first derivative of -5*k**4/2 - k**2/2 - k - 6. Let t be a(-1). Let f = 15 + t. What is the tens digit of f? 2 Suppose 3*u = -5*r - 274, r + r + 116 = 2*u. Let s = r - -89. What is the units digit of s? 3 Let i(x) = -7*x - 5. Let z be i(-2). What is the units digit of 3/(-9) - (-570)/z? 3 Suppose 3*s + 6 = -2*d, -4*d - 5*s = d + 10. Let z = d - -32. What is the tens digit of z? 3 Let b(p) = -58*p + 4 - 117*p**3 - 3 + 2*p**2 + 60*p. What is the tens digit of b(-1)? 1 Suppose 0 = 5*x + 5*h - 20, -x - h = -2*h + 6. Let m = x - -5. What is the units digit of (0 - -7)/1 + m? 1 Suppose -3 = p + 2*s, -p + 4*s + 9 = -0*s. Suppose -i + 5*o = -20, p = -2*o + o. What is the tens digit of 642/15 + 3/i? 4 Let c = 40 - 33. Let t(k) = k**3 - 4*k**2 - 8*k - 1. Let z be t(c). Suppose -6*s + 336 = z. What is the units digit of s? 1 Let c = -7373 - -11554. What is the tens digit of c? 8 Suppose 0*q + q - 228 = -2*s, 5*q - 565 = -5*s. What is the hundreds digit of s? 1 Suppose 2*q = -2*q - 36. Let o(g) = g + 7. Let j be o(q). What is the tens digit of (2/3)/(j/(-60))? 2 Let g(y) = -5*y**3 + 2*y**2 + 6*y + 10. What is the units digit of g(-5)? 5 Let l = 353 + -164. Suppose -2*x = -5*x + l. What is the tens digit of x? 6 Suppose 5*f + 166 = 406. Suppose -3*g + 6 = -f. What is the units digit of (g/12)/((-3)/(-52))? 6 Let z = -63 + 134. Suppose 5*w = 0, -s + z = -4*w - 39. What is the units digit of s? 0 What is the units digit of 100/36*-3*-27? 5 Let q(s) = -8*s - 1. Let k be q(-1). Let t(u) be the third derivative of -u**6/120 + 2*u**5/15 - u**4/6 + u**3/2 + 5*u**2 + 2. What is the tens digit of t(k)? 2 Let g = 364 + -108. What is the hundreds digit of g? 2 Suppose 65 = -3*t - 544. Let k = -140 - t. What is the tens digit of k? 6 Let t = -16 - -28. Let z = 21 - t. What is the units digit of z? 9 What is the tens digit of 50568/215 - (-12)/(-10)? 3 Let i(a) = 109*a - 9. Let q(o) = -55*o + 5. Let m(h) = 6*i(h) + 11*q(h). Let f be m(1). Suppose f = -2*u + 3*u. What is the tens digit of u? 5 Suppose -4*h = -2*h - 6. Suppose h*n - 2*n = 43. Suppose i + 11 = n. What is the tens digit of i? 3 Suppose 4*g = -12, -2*u + 5*g + 35 - 2 = 0. Suppose 2*h + 3 - u = 0. Suppose h*t - 2*t - 22 = 0. What is the tens digit of t? 2 Let k = -647 + 1405. What is the units digit of k? 8 Suppose -i - 4*s = 4, -3*s + 4 = -i - 0*s. What is the tens digit of (-31 - 20/i)*(-11)/2? 4 Let a(z) = z**3 + 11*z**2 - 9*z + 14. Let r be a(-9). Let p = 392 - r. What is the tens digit of p? 3 Suppose -4*a - 2*w + 2 = -4*w, -13 = 4*a + w. What is the tens digit of 18/(4 + -3) + a? 1 Suppose 3*y + r = -y + 10, -2*r + 4 = 0. Suppose 3*q - q = -y. What is the tens digit of (0 - q)/(8/304)? 3 Let y = 946 - 341. What is the units digit of y? 5 Suppose -6*x + 22 = 3*s - 4*x, -x = 5*s - 32. Let w(f) = f**2 - 12*f + 44. What is the units digit of w(s)? 8 What is the units digit of 6355/15 + -4 + 13/39? 0 Suppose -3*n + 2*a = -92, n = 3*n - 3*a - 53. Suppose -123 = 5*z - 33. Let t = n + z. What is the units digit of t? 6 Suppose -24 = -5*g - 9, -4*g - 2358 = -5*y. What is the tens digit of y? 7 Suppose a = 4*q + 2059, 5*q = -a - 0*a + 2086. What is the hundreds digit of a? 0 What is the units digit of (-1340)/(-10) + (6/(-2))/(-1)? 7 Let v(b) be the first derivative of -b**5/120 + 13*b**4/24 + b**3 - 3. Let z(l) be the third derivative of v(l). What is the units digit of z(9)? 4 Suppose -i - 4*q + 169 = -443, -q = -2*i + 1251. What is the units digit of i? 4 Suppose -2*n + 40 = -188. Suppose -3*c - 1 = -4*c, -4*f = -2*c - n. What is the units digit of f? 9 Suppose 96*q - 374880 = 16*q. What is the hundreds digit of q? 6 Let g = 824 + -406. What is the tens digit of g? 1 What is the units digit of 48969/63 + 16/(-56)? 7 Let z be ((-6)/(-18))/(1/6). Suppose z*g = t + 20, -3*g + 31 = t + 1. What is the units digit of 16/(-10)*g/(-4)? 4 Let
{ "pile_set_name": "DM Mathematics" }
*r = -3*q - 25. Suppose -5*o - 72 = -r*o. What is the units digit of o? 4 What is the tens digit of (-2)/(16/(-60))*6? 4 Suppose 5*k = 2*n - 482, -k - 474 = -0*n - 2*n. What is the hundreds digit of n? 2 Suppose w - 2*w = -3. Let o(r) = -r**3 - 5*r**2 - 2*r + 9. Let k(p) = p - 1. Let g(l) = w*k(l) + o(l). What is the units digit of g(-5)? 1 Suppose -3*d + 11 = -k, k - 5 = -4*d + 5. What is the units digit of 42/4 - d/2? 9 What is the hundreds digit of (362/3 - 0) + 2/6? 1 Suppose -3*v + 9 = -3*a, 2*v + 3*v - 11 = 3*a. Let f(l) = 3*l**2 - l - 4. What is the tens digit of f(a)? 1 Suppose 0 = 3*i + 4*o - 3*o - 110, -5*i + 4*o + 155 = 0. What is the units digit of i? 5 Let i = 3 + -5. Let b be (24/(-3) - i)/(-1). Let v = -4 + b. What is the units digit of v? 2 Let p(u) = 11*u**2 - 9*u + 3. Let r(x) = 4*x**2 - 3*x + 1. Let w(g) = -6*p(g) + 17*r(g). What is the tens digit of w(2)? 1 Let b be (-4)/(-22) + (-62)/(-22). What is the tens digit of 21 + b/(3/1)? 2 Let h(b) = -5*b + 12. Let r(y) = -6*y + 13. Let c(o) = 7*h(o) - 6*r(o). Let j be c(0). Suppose 0 = -5*i + 3*i + j. What is the units digit of i? 3 Let k = -5 + 13. Let t = k - 4. Suppose 0 = -j + a + 3, 2*j + 0*a = -t*a - 6. What is the units digit of j? 1 Suppose 172 = -4*p + 16. Let x be p/4*(-4 + 0). Suppose 4*f - 14 = 2*d, -d - 2*d = 4*f - x. What is the units digit of f? 6 Let a(i) = -i**3 + 5*i**2 + 2*i - 2. Let r be (-1 + 9/(-6))*-2. What is the units digit of a(r)? 8 Let o = -127 + 77. What is the units digit of -8 - o - 2*1? 0 Let i be (2 - (-27)/(-2))*2. Let f = -6 - i. What is the tens digit of f? 1 What is the tens digit of 274/8 + (-1)/4? 3 Let l(c) = -c**2 - 16*c - 14. What is the tens digit of l(-6)? 4 Let h = -8 - -4. What is the tens digit of h/6 - (-213)/9? 2 Let o = 0 - 0. Suppose -5*j - 5*u = -20, j + 4*u = -2 - o. Let w = 23 - j. What is the units digit of w? 7 Suppose -2*u + u - j = -5, u - 4*j - 20 = 0. Let m = 156 + -138. Suppose -5*h + q + 61 = 0, h + 2*q - m + u = 0. What is the tens digit of h? 1 Suppose -4*x = -0*x + 28. Let b(h) = -h + 0*h + 2 + 2. What is the units digit of b(x)? 1 Let s(x) = 3*x**2 - 21*x + 10. Let h(u) = u**2 - 10*u + 5. Let v(t) = 5*h(t) - 2*s(t). Let f be v(-9). Let n = -2 - f. What is the units digit of n? 2 Suppose 3*s - 106 = 182. What is the tens digit of s? 9 Let c be ((-9)/12)/((-1)/(-4)). Let d = -1 - c. What is the tens digit of (-6 - -2)/(d/(-7))? 1 Suppose -6*f + 270 = 3*g - 4*f, -f = -3*g + 261. What is the units digit of g? 8 Suppose q + 5*o = 5*q + 4, o - 4 = 0. Suppose -q*b = -3 - 77. What is the units digit of b? 0 Let c(z) = 36*z - 4. Let s be c(4). Suppose 0*w - 2*w = -s. Suppose -5*n - 3*f = f - w, 3*f + 15 = 0. What is the tens digit of n? 1 Let s(j) = -j - 5. Let x be s(-6). Suppose 0 = -2*k - 2*r + 14, -3*r + x = -2*k - 0*r. Suppose -k*h + 35 = h. What is the units digit of h? 7 What is the tens digit of (-26)/(-3)*6 - 4? 4 Let y(a) = -a**3 + 9*a**2 - 9*a - 3. What is the units digit of y(7)? 2 Let p be (-1 - -6) + (-6)/(-2). Suppose -p = -5*d + 7. What is the units digit of d? 3 Suppose 14 = 3*v - c, v - 3*c + 23 = 5*v. Let d(i) = -v*i - 8 + i**2 + 0 + 2*i. What is the tens digit of d(6)? 1 Let p be (-8 + 7)/(2/(-190)). Suppose 3*q + 0*j - j = 143, 2*q - j - p = 0. What is the tens digit of q? 4 Let t be -3 + (-1 - (-10 - -3)). Let d(v) = 19*v + 2. What is the units digit of d(t)? 9 Let z(g) = g**2 + 9*g - 14. What is the tens digit of z(-12)? 2 Suppose -5*j + 20 = -5*i, -4*i = -4*j + 2*j + 8. Let n(d) = -d**2 - 6*d - 6. Let c be n(-4). Suppose -j*m + 10 = -c*m. What is the units digit of m? 5 Suppose -3*r + 5*r - 42 = 0. What is the units digit of ((-90)/(-21))/(3/r)? 0 Suppose -5*o + 87 = -2*j + 4*j, 0 = -4*o + 12. Suppose -5*l = -l + j. Let s(c) = -c - 5. What is the units digit of s(l)? 4 Suppose 0 = -6*p + 3*p + 81. What is the tens digit of p? 2 Suppose -2*y - 41 = -4*z + 3*y, -y = -z + 11. What is the tens digit of z? 1 Suppose -3*r = 47 - 521. What is the tens digit of r? 5 Let u = 7 + -2. What is the units digit of u? 5 Let i be (-3 + 1)/(1/(-123)). Suppose 4*t - i = t. Suppose 5*s - 2*c - t = -4*c, 3*s = 2*c + 46. What is the units digit of s? 6 Let y be ((-2)/(-4))/((-2)/(-12)). Suppose 5*m - 157 = -p - y*p, -m + 5*p = -14. What is the tens digit of m? 2 What is the tens digit of -3 + (11 - -4) - (-1 + 0)? 1 Let f(c) = 7 + c + 0*c + 2*c. Let a be f(6). Suppose 4*s = -s + a. What is the units digit of s? 5 Let x(t) = -t**3 + 13*t**2 - 32*t + 3. What is the tens digit of x(9)? 3 Let l(q) = q + 3. Let g be l(9). What is the tens digit of 114/8 - (-9)/g? 1 Let w be (10 + -1)/((-2)/(-2)). Let j = w - -7. What is the tens digit of j? 1 Let y = 39 + 31. Let p = y - 44. What is the units digit of p? 6 Suppose -p - 3*v = -18, -2*p + 2*v - 54 = -5*p. Suppose 0 = p*q - 15*q - 168. What is the units digit of q? 6 Let g = 11 + -6. Suppose -c = p - 9, -3*p + 27 = 4*c - g. Suppose z + 5 = 2*z, -p*u + z = -3. What is the units digit of u? 2 Suppose a - 5 = 4. What is the units digit of a? 9 Suppose -83 + 234 = 5*y + 2*x, -3*y + 97 = -2*x. What is the tens digit of y? 3 Let o = 20 + 2. What is the units digit of o? 2 Suppose -4*x = 5*i - 75, 5*x - i - 95 = -6*i. What is the units digit of x? 0 Suppose -5*g + 4*g + 8 = 0. What is the units digit of ((-18)/g)/((-27)/72)? 6 Suppose -4*a = n + 2*n - 53, 5 = -n. Let z(l) = 2*l**2 - 2*l - 2. Let q be z(2). What is the units digit of a/2 + (-1)/q? 8 Let d = 2 - -40. Let c = 24 - d. Let h = -11 - c. What is the units digit of h? 7 Let i = 11 - -42. What is the tens digit of i? 5 Let w(s) = s**3 + 9*s**2 + 9*s. What is the tens digit of w(-7)? 3 Let i be 1*(2/1 - 1). Let m = 4 - i. Suppose -5*r + m = -2*r. What is the units digit of r? 1 Let b = 58 - 33. Let l = -10 + b. What is the tens digit of l? 1 Suppose 18 = 5*k - 2. Suppose k*t - 130 = 2*y, -4*t + 145 = 3*y - 2*y. What is the tens digit of t? 3 Suppose 2*z - 4*d = 36, 3*d + d + 8 = 0. Suppose -z = -3*f - 5. What is the units digit of f? 3 Suppose n + 6*i - 2*i = 261, 0 = -n - 3*i + 260. What is the units digit of n? 7 Suppose -h - 57 = -4*h. Suppose -2*p = 3*i - h, 0*i + 13 = p - 2*i. What is the tens digit of p? 1 Suppose 2*k - 2 = 4. Suppose k*w - 18 = w. What is the units digit of w? 9 Suppose -3*j + 8 = -2*f, 4*j - 42 = -4*f + 2. Let k be (j/18)/((-2)/(-156)). Let s = k - 15. What is the tens digit of s? 1 What is the tens digit of (-4)/(-14) + (-4020)/(-42)? 9 Let i(k) = k**2 - k + 5. Let l be i(-6). What is the units digit of (-6)/(-21) - l/(-7)? 7 Suppose -6 = -m + 2*b, -4*m - 5*b = -8*b - 9. Suppose m = 3*l - 10 + 1. Suppose 48 - l = 5*k. What is the units digit of k? 9 Let m = -18 + 7. Let o = m + 15. Suppose 2 = -2*f + o, g - 8 = -2*f. What is the units digit of g? 6 Suppose -3*a + 5*y + 299 = 0, 390 = 4*a + 5*y - 3*y. What is the units digit of a? 8 Suppose -28 = 15*f - 11*f. Let a = f + 14. What is the units digit of a? 7 Let s(t) = t**3 + 2*t**2 - t. Let m be s(1). Suppose 0 = 2*w + m, -23 = -j + 4*w - 4. What is the units digit of j? 5 Let r(i) = i**2 - 6*i + 13. Let f(w) = -3*w**2 + 19*w - 38. Let a(c) = 6*f(c) + 17*r(c). Let v(m) = m**2 + m - 2. Let p be v(3). What is the tens digit of a(p)? 1 Suppose -50 - 28 = -3*h. What is the units digit of h? 6 Suppose 0 = -6*c + c. Suppose 0 = -c*m + m. Let g(p) = p**2 + p + 1. What is the units digit of g(m)? 1 Let y = 116 + -135. Suppose s - 3*s - 18 = 0. Let v = s - y. What is the units digit of v? 0 Suppose -5*t + 4*k + 16 = -3*t, -3*t - 4*k = -14. Suppose 2*x = 3*x - t. What is the units digit of x? 6 Let z(k) = -k**3 + 8*k**2 + 2*k + 17. What is the tens digit of z(5)? 0 Let r(l) = 2*l + 12. Let b be r(-9). Let s be (-6 - 0)*(-6)/b. Let k(g) = g**3 + 6*g**2 - 2*g - 1. What is the units digit of k(s)? 1 Suppose -263 = -4*n - 0*n + u, -2*n + 3*u = -139. Suppose 43 = 3*z - n. What is the tens digit of z? 3 Let l = 6 - 1. Suppose l*t = -3*x - 0 + 3, 12 = -3*x. Suppose 2*j - 7*j - t*d = -8, 2*j - d = 12. What is the units digit of j? 4 Let b = 8 + -6. Suppose 5*q = -w + 240, -140 - 95 = -5*q - b*w. What is the units digit of q? 9 Suppose 2*t = -2*q - 0*t - 10, 3*t + 15 = 0. Suppose 2*c - 1 - 3 = q. Suppose -d - c*b - 3*b + 20 = 0, d - 2*b = -1. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
is the c'th term of 448, 451, 454? 3*c + 445 What is the z'th term of -83, -165, -247? -82*z - 1 What is the s'th term of 36, 55, 50, 9, -80, -229, -450? -2*s**3 + 33*s + 5 What is the h'th term of 591, 1188, 1785, 2382, 2979? 597*h - 6 What is the u'th term of 1110, 4447, 10010, 17799, 27814? 1113*u**2 - 2*u - 1 What is the j'th term of 22, -96, -214, -332, -450, -568? -118*j + 140 What is the c'th term of -58, -519, -1772, -4213, -8238? -66*c**3 + c + 7 What is the w'th term of 224, 232, 240, 248? 8*w + 216 What is the f'th term of 2, 12, 22, 32, 42? 10*f - 8 What is the t'th term of 643, 1287, 1931, 2575, 3219, 3863? 644*t - 1 What is the u'th term of 31, 58, 85, 112, 139? 27*u + 4 What is the t'th term of 222, 453, 696, 957, 1242? t**3 + 224*t - 3 What is the q'th term of 633, 1265, 1899, 2535, 3173, 3813? q**2 + 629*q + 3 What is the z'th term of 13, 4, -29, -98, -215, -392, -641? -2*z**3 + 5*z + 10 What is the u'th term of -22, -74, -154, -256, -374? u**3 - 20*u**2 + u - 4 What is the p'th term of 1206, 1198, 1190, 1182, 1174, 1166? -8*p + 1214 What is the j'th term of -180, -383, -576, -753, -908, -1035? j**3 - j**2 - 207*j + 27 What is the z'th term of 216, 208, 200, 192? -8*z + 224 What is the u'th term of -71, -124, -265, -536, -979? -7*u**3 - 2*u**2 + 2*u - 64 What is the n'th term of -25, -30, -63, -136, -261, -450, -715, -1068? -2*n**3 - 2*n**2 + 15*n - 36 What is the i'th term of -41, -62, -119, -230, -413? -3*i**3 - 38 What is the t'th term of 37, 33, 19, -11, -63, -143, -257, -411? -t**3 + t**2 + 37 What is the c'th term of -28, 112, 250, 386, 520, 652? -c**2 + 143*c - 170 What is the o'th term of -179, -190, -223, -290, -403? -2*o**3 + o**2 - 178 What is the x'th term of 23, 8, -29, -100, -217, -392, -637? -2*x**3 + x**2 - 4*x + 28 What is the m'th term of 117, 243, 371, 501, 633, 767? m**2 + 123*m - 7 What is the i'th term of -7190, -14378, -21566, -28754, -35942? -7188*i - 2 What is the t'th term of 55, 55, 45, 19, -29, -105, -215? -t**3 + t**2 + 4*t + 51 What is the h'th term of 685, 1370, 2053, 2734, 3413? -h**2 + 688*h - 2 What is the v'th term of 8, 44, 84, 128, 176? 2*v**2 + 30*v - 24 What is the t'th term of 59, 74, 89, 104, 119, 134? 15*t + 44 What is the n'th term of 222, 452, 680, 906? -n**2 + 233*n - 10 What is the h'th term of -15017, -15019, -15021, -15023, -15025, -15027? -2*h - 15015 What is the a'th term of 18, 11, -18, -81, -190, -357, -594, -913? -2*a**3 + a**2 + 4*a + 15 What is the r'th term of 102, 190, 278, 366, 454? 88*r + 14 What is the q'th term of -3756, -3753, -3750, -3747, -3744? 3*q - 3759 What is the v'th term of 191, 188, 175, 146, 95, 16? -v**3 + v**2 + v + 190 What is the x'th term of -53, -103, -155, -209, -265? -x**2 - 47*x - 5 What is the k'th term of -2225, -2235, -2245, -2255, -2265, -2275? -10*k - 2215 What is the o'th term of 202, 194, 198, 220, 266? o**3 - 15*o + 216 What is the b'th term of 934, 943, 954, 967, 982, 999, 1018? b**2 + 6*b + 927 What is the d'th term of -24, -119, -284, -525, -848, -1259, -1764, -2369? -d**3 - 29*d**2 - d + 7 What is the c'th term of 582, 573, 564? -9*c + 591 What is the a'th term of 1000, 1002, 1004, 1006, 1008, 1010? 2*a + 998 What is the f'th term of -37, -84, -135, -190, -249, -312? -2*f**2 - 41*f + 6 What is the b'th term of -14, -45, -96, -167, -258? -10*b**2 - b - 3 What is the i'th term of 882, 903, 928, 957, 990, 1027, 1068? 2*i**2 + 15*i + 865 What is the v'th term of -283, -559, -835, -1111, -1387? -276*v - 7 What is the g'th term of -5, 8, 19, 28, 35, 40? -g**2 + 16*g - 20 What is the j'th term of -3185, -6368, -9551, -12734, -15917? -3183*j - 2 What is the l'th term of -79, -72, -61, -46? 2*l**2 + l - 82 What is the j'th term of 1380, 2763, 4148, 5535, 6924, 8315, 9708? j**2 + 1380*j - 1 What is the x'th term of -599, -1192, -1785, -2378, -2971, -3564? -593*x - 6 What is the m'th term of 20, 65, 154, 299, 512, 805, 1190? 2*m**3 + 10*m**2 + m + 7 What is the t'th term of -243, -236, -229, -222, -215, -208? 7*t - 250 What is the s'th term of 198, 202, 206? 4*s + 194 What is the x'th term of 135, 261, 471, 765, 1143, 1605, 2151? 42*x**2 + 93 What is the l'th term of -10, -6, -2, -4, -18, -50? -l**3 + 6*l**2 - 7*l - 8 What is the g'th term of 107, 215, 323, 431? 108*g - 1 What is the m'th term of 45, 41, 37, 33, 29? -4*m + 49 What is the n'th term of 16, 2, -22, -56, -100? -5*n**2 + n + 20 What is the i'th term of -323, -324, -325, -326? -i - 322 What is the g'th term of 339, 341, 343? 2*g + 337 What is the p'th term of 43, 166, 367, 646, 1003? 39*p**2 + 6*p - 2 What is the u'th term of -166, -144, -124, -106, -90, -76, -64? -u**2 + 25*u - 190 What is the q'th term of 4, 31, 86, 175, 304, 479, 706? q**3 + 8*q**2 - 4*q - 1 What is the a'th term of 352, 351, 350, 349? -a + 353 What is the z'th term of 27, 20, 11, 0, -13, -28, -45? -z**2 - 4*z + 32 What is the n'th term of -431, -466, -517, -578, -643, -706? n**3 - 14*n**2 - 418 What is the m'th term of 1, -35, -95, -179, -287? -12*m**2 + 13 What is the l'th term of 306, 295, 284? -11*l + 317 What is the v'th term of -85, -166, -247? -81*v - 4 What is the z'th term of -177, -173, -169, -165, -161, -157? 4*z - 181 What is the o'th term of 726, 721, 716, 711, 706? -5*o + 731 What is the a'th term of -32, -77, -134, -209, -308? -a**3 - 38*a + 7 What is the c'th term of 938, 1877, 2816, 3755? 939*c - 1 What is the b'th term of -103, -112, -131, -166, -223? -b**3 + b**2 - 5*b - 98 What is the t'th term of -15, 28, 119, 276, 517, 860, 1323? 3*t**3 + 6*t**2 + 4*t - 28 What is the t'th term of -432, -432, -430, -426, -420, -412? t**2 - 3*t - 430 What is the n'th term of 36, 32, 18, -12, -64, -144? -n**3 + n**2 + 36 What is the t'th term of 1066, 1055, 1038, 1015, 986, 951? -3*t**2 - 2*t + 1071 What is the z'th term of -504, -996, -1478, -1944, -2388, -2804, -3186, -3528? z**3 - z**2 - 496*z - 8 What is the o'th term of -4, -63, -220, -523, -1020, -1759? -8*o**3 - o**2 + 5 What is the z'th term of -21, -44, -65, -84, -101? z**2 - 26*z + 4 What is the l'th term of 5, 27, 65, 119? 8*l**2 - 2*l - 1 What is the q'th term of -61, -127, -193, -259? -66*q + 5 What is the c'th term of 66, 69, 76, 87, 102? 2*c**2 - 3*c + 67 What is the b'th term of 1349, 1353, 1355, 1355, 1353, 1349, 1343? -b**2 + 7*b + 1343 What is the b'th term of 117, 237, 361, 489, 621? 2*b**2 + 114*b + 1 What is the w'th term of -16, -89, -220, -409, -656, -961, -1324? -29*w**2 + 14*w - 1 What is the u'th term of -20, -33, -74, -155, -288, -485, -758, -1119? -2*u**3 - 2*u**2 + 7*u - 23 What is the c'th term of -10, -30, -60, -100, -150? -5*c**2 - 5*c What is the b'th term of 1317, 2645, 3973, 5301, 6629? 1328*b - 11 What is the d'th term of -29, -41, -53? -12*d - 17 What is the u'th term of 20, 67, 144, 251? 15*u**2 + 2*u + 3 What is the r'th term of -6, -17, -30, -45, -62, -81, -102? -r**2 - 8*r + 3 What is the k'th term of 203, 396, 583, 764? -3*k**2 + 202*k + 4 What is the o'th term of 28, 50, 88, 148, 236, 358, 520? o**3 + 2*o**2 + 9*o + 16 What is the k'th term of 115, -145, -849, -2219, -4477, -7845, -12545, -18799? -37*k**3 - k + 153 What is the j'th term of 7, 11, 17, 25, 35, 47? j**2 + j + 5 What is the f'th term of 49, 104, 159? 55*f - 6 What is the i'th term of -170, -339, -506, -671, -834, -995? i**2 - 172*i + 1 What is the z'th term of -25, -25, -31, -49, -85, -145, -235? -z**3 + 3*z**2 - 2*z - 25 What is the l'th term of -51, -29, -7, 15, 37, 59? 22*l - 73 What is the n'th term of -459, -458, -457, -456, -455, -454? n - 460 What is the o'th term of -95, -99, -103? -4*o - 91 What is the g'th term of 105, 91, 73, 51, 25? -2*g**2 - 8*g + 115 What is the u'th term of -398, -395, -382, -353, -302, -223, -110, 43? u**3 - u**2 - u - 397 What is the r'th term of -395, -822, -1247, -1670, -2091, -2510? r**2 - 430*r + 34 What is the u'th term of 5853, 5852, 5851, 5850, 5849? -u + 5854 What is the l'th term of 175, 312, 459, 622, 807, 1020, 1267, 1554? l**3 - l**2 + 133*l + 42 What is the w'th term of 590, 573, 556, 539? -17*w + 607 What is the l'th term of -242, -939, -2100, -3725, -5814? -232*l**2 - l - 9 What is the q'th term of 131, 129, 127? -2*q + 133 What is the v'th term of -16, -44, -74, -106? -v**2 - 25*v + 10 What is the j't
{ "pile_set_name": "DM Mathematics" }
0.5. Which is the nearest to 1? (a) t (b) h (c) d c Let q = -76 + 79. Suppose -3*n = -4*n - 7. Let o be (-2)/n + 2/(-56). Which is the nearest to -1? (a) -1/3 (b) o (c) q a Let d = 39.42 + -36.42. Let t(z) = -2*z + 4. Let l be t(3). Which is the nearest to d? (a) 2/3 (b) l (c) -0.1 a Let u = -22.9 - -23. Which is the closest to u? (a) 0 (b) -25 (c) -4 a Let f = -1756 - -1754. What is the closest to 1/3 in f, -5, 1.6, 0.4? 0.4 Let d = 549/4 - 2753/20. What is the closest to 7 in d, -0.5, -4/5, 1? 1 Let q = 0.825 + -0.525. Let y be 1/(2/6) - 0. What is the nearest to -3/8 in q, 1, y? q Let m = 12.1 + -11. Let k = m - 1. Let g = 1016 + -1017. What is the closest to g in k, -1, 2/9? -1 Let k = -965 + 961. Let v = -0.3 - -0.8. Which is the nearest to 3/5? (a) v (b) -2 (c) k a Let g = 3 - 5. Let x = -695 + 692. Which is the closest to 0.3? (a) -1 (b) x (c) g a Let z = -7.03 + 5.03. Let k = -84 + 56. Which is the nearest to 1? (a) k (b) z (c) -3/2 c Let y = 23 - 22.8. Let k be 1 - (9/(-2))/(-3). Let u = -5 - -4.8. What is the closest to u in k, 3, y? k Let n(k) = 4*k - 30. Let m be n(7). What is the closest to 2 in 1.8, -3, 5, m? 1.8 Let m = -3.2 - -3.02. Let r = 0.48 + m. What is the closest to r in 0.3, 2, 4? 0.3 Let l = -815 - -812. What is the nearest to -42 in l, -2/3, -2, 0.5? l Let w = -1266.3 - -1265. Let d = 0.18 - -0.72. Let v = w + d. What is the nearest to -1 in v, 3, 2/19? v Let o = -254 + 509/2. Which is the nearest to 0.31? (a) o (b) -3/5 (c) 3/5 a Let r = 7/2272 - 298491/2272. Suppose 4*f + 2*p - 520 = 3*p, -2*p = f - 139. Let y = f + r. Which is the nearest to -1? (a) y (b) -5 (c) 4 a Let v = -18.1 - -17.1. Let r be ((-7)/21)/(2/6). What is the nearest to r in -4/7, v, -1/4? v Let n(z) = -z**3 - 9*z**2 - 16*z - 14. Let x be n(-7). What is the nearest to 0.01 in 2/3, x, 1? x Let w = -1243 - -1237. What is the nearest to 1/2 in 2, 1, 3/5, w? 3/5 Let o = 6 - 21. Let w be ((-2)/(-25))/(3/o). Which is the closest to w? (a) -0.1 (b) 4 (c) 6/11 a Let m = -1.99 + -0.01. Let l(o) = o**2 + 7*o - 8. Let x be l(-7). Let a be x/(-6)*2 - (39 + -36). What is the nearest to -0.1 in 0, m, a? 0 Let q = -0.051 + -0.049. Let f = 7 + -7.1. Let i = -0.2 - f. Which is the nearest to q? (a) -2 (b) 0.5 (c) i c Let y = -0.3 + 0.2. Let h be (20 + -20)*(-2)/4. Which is the closest to 1/4? (a) -1/5 (b) h (c) y b Let k = 227/1110 - 1/222. Which is the closest to 0.1? (a) 0.3 (b) 1 (c) k (d) -3 c Let v = -78.3 + 82.3. Which is the closest to -3? (a) -3 (b) -0.3 (c) v (d) 2 a Let w = 5.08 - 0.08. Let o = 1/12193 - 24389/36579. What is the closest to 1/7 in -3, o, w? o Let i = 2239 - 2238. What is the closest to 1 in -3/10, i, -5? i Let p = 1763.9 + -1763. Let u = 0.01 - 3.01. What is the nearest to 2 in -1, u, p? p Suppose 8*z + 18 = 26. Which is the nearest to z? (a) -1 (b) 1/3 (c) 0.5 c Let i = -10/111 + 353/222. Let c(d) = -d**2 - 2*d - 1. Let m be c(-2). What is the closest to i in m, -4, -0.5? -0.5 Let w = -245 - -239. Let m(z) = z. Let o be m(-4). What is the nearest to 0.1 in w, 0, o? 0 Let x(q) = -q**3 - 5*q**2 + q + 6. Let w be x(-5). Let m be 1*(-1 - 0)*w. What is the nearest to 3 in -0.4, 5/3, m? 5/3 Let t be (-100)/(-30)*12/(-10). What is the closest to 1/3 in -2/11, 4, t? -2/11 Let h = 178.66 - 179. What is the closest to 0 in 3, 2/9, h? 2/9 Suppose 0 = 2*f + 5*v - 20, 4*f + 16 = -3*v + 7*v. Which is the closest to f? (a) 5 (b) -6/19 (c) -1 b Let j be -8 + (-5)/(165/(-258)). Let h(u) = u**2 + u + 5. Let s be h(0). Which is the closest to 8? (a) s (b) 2/7 (c) j a Suppose -5*g = 2*l - 20*l + 41, 0 = 3*l - 6. Let t = 2 - 1. Which is the closest to 7? (a) t (b) g (c) 3 c Let r = 300 + -300. Let m = 248 - 2234/9. Let c = -463/1064 - -1/152. What is the nearest to r in m, c, 1/2? m Let n = 0.6 - 0.54. Let f = -0.04 - n. Let h = 4 + -3.8. What is the nearest to 0 in h, f, 0.4? f Let a = -76.4 + 76. Let l = -439/570 + -6/95. Let h = -2 - 0. What is the nearest to 1 in a, l, h? a Let m = 3 + -3.3. Let v = 0.06 - -0.04. Let w = 127 + -125. Which is the nearest to w? (a) m (b) v (c) 4 b Let h = -0.043 - 0.137. Which is the closest to -0.2? (a) 4 (b) 3 (c) h c Let n = 13.09 - 0.09. Let p = n + -12.5. Let v = -28 + 27. Which is the closest to -0.3? (a) 4/5 (b) v (c) p b Let g(p) = -p + 5. Let y be g(5). Let n be y/((-3 + -1)/2). Let f = -0.21 + -4.79. Which is the nearest to 1? (a) 0.1 (b) f (c) n a Let h be -3*16/(-12) - 8. Which is the nearest to 2/7? (a) -1/4 (b) h (c) 162 a Let z = 11 - 11.2. Let u = 30 + -26. Let q = 37 + -37.1. What is the closest to q in -2/19, u, z? -2/19 Let j = -0.0184 - 0.2816. Let f be ((-3)/9)/(0 - 1). Which is the nearest to f? (a) 2 (b) -1 (c) j c Let n = -0.51 + -1.79. Let z = -1.7 + n. Let p = z + 4.3. Which is the closest to 4? (a) p (b) -0.4 (c) 0.5 c Let u be 1*((-84)/99)/14. Which is the nearest to -3? (a) 0.5 (b) u (c) 1 b Let p = 94 + -90. What is the nearest to -2/7 in p, 4/7, -5? 4/7 Let d = 0.4 + -0.18. Let j = d - 0.72. Let n = j + 1.1. What is the nearest to 2/5 in -2/5, 0.1, n? n Let v(u) = 2*u**3 + 1. Let q be v(-1). Let r be -4 + 0 - (-1)/q. Let i be 1/(4/10) - 2. What is the closest to i in 4, r, 3? 3 Let r be (12 - 106/9) + 16/(-54). Which is the closest to r? (a) -1 (b) -2/7 (c) 0 (d) -2 c Suppose 11*k + 268 + 337 = 0. What is the nearest to k in 4, -1/7, -5? -5 Let m = -603.7 + 604. Which is the closest to -1? (a) -1 (b) m (c) 0.4 (d) -57 a Let o = 0.591 - 0.491. Which is the nearest to 0.1? (a) o (b) -3 (c) 0.24 (d) 12 a Let f = 56 + -56.1. Let d = 11 - 10. Let v be (-5)/10 - 5/(-6). What is the nearest to f in v, 0.1, d? 0.1 Let r = 144 + -140. What is the closest to 0.1 in -1, 8, r? -1 Let r = -1 - -2. Suppose -4*m = -f + 1, 0 = -3*m + 9 - 6. Which is the nearest to r? (a) -4 (b) -0.4 (c) f b Let h(t) = 14*t**2 - 5*t + 5. Let u be h(5). Let i be (-22)/u*(-20)/6. Let z = 2.9 + 1.1. What is the nearest to -4 in i, -5, z? -5 Let o = -438 + 438.3. What is the closest to 0 in 1.6, o, 4, -0.4? o Let z = -43.58 + 44. Let i = z + -0.42. Which is the nearest to 1/2? (a) 5 (b) i (c) 2/5 c Suppose -g - 4 = -5*g. Let d be (14/(-56))/(1/2). Which is the closest to g? (a) d (b) 2/9 (c) 0 b Let y = 224 + -222. Which is the closest to y? (a) 0.6 (b) -5 (c) -3 a Let u = -486 + 486. Which is the closest to 2? (a) -1/3 (b) -4/5 (c) u (d) -2/5 c Let k = -34 - -15. Let h = k + 18. Which is the closest to h? (a) 2/11 (b) -2 (c) 2 b Let y = 827/2065 + -1/2065. What is the nearest to y in -0.01, 0.2, -0.2, -4? 0.2 Let n = -75.8 + 92.5. Which is the nearest to -0.1? (a) 3/4 (b) -5 (c) n a Let u = 2.121 - 0.021. Let v = 4.1 - u. Which is the closest to v? (a) 3 (b) -2 (c) 0.4 a Let i = 0.62 - 0.32. Let n = -856/7 + 122. Let q = 3.79 - 4.19. What is the nearest to n in i, q, -2? q Suppose -2*o + 6 = 2*t, -3*t + 5*o = o - 9. Suppose -t*s = s + 168. Let d be 34/51 + 46/s. What is the nearest to -0.1 in -0.2, d, -3? -0.2 Let f = -24.4 - -24.4. Which is the nearest to f? (a) -0.1 (b) 5 (c) 3 a Let g = -113 + 115. Let u = -18 + 14. Which is the closest to -2/3? (a) u (b) 4/7 (c) g b Let c = -23/2 - -53/4. Let x be (6/8)/((-3)/12). What is the nearest to c in 5, x, 4? 4 Let h = -128 - -130. Which is the closest to -2/11? (a) -0.8 (b) -1/6 (c) h b Let r = 24.2 - 24.6. What is the closest to 0.2 in r, -1/2, -0.3? -0.3 Let z be (-10)/3*(3 - (-63)/(-6)). Suppose -6*o + o - z = 0. Which is the closest to 0.5? (a) -1/3 (b) o (c) -0.01 c Suppose 6*r - 11*r = -5. Let c(x) = -x**2 - 3*x + 1. Let y be c(-4). What is the closest to r in y, -0.2, 1/5? 1/5 Let t be (6/20)/((-2)/10). Which is the nearest to -1? (a) 1/5 (b) t (c) -9/5 b Let r = 2163/4318 - 2/2159. What is the closest to -0.2 in 1, r, 1/4? 1/4 Let l = -127 - -115. Let i = -11.6 - l. Which is the nearest to 0.1? (a) i (b) 2/7 (c) -4/13 b Suppose -3*s + 6 = 3*u, -2*s + 2*u = -s - 11. Let x = 1/6 - -4/3. Which is the nearest to x? (a) 0 (b) s (c) 0.4 c Suppose -2*o + 4*m - 196 = 0, 2*m = -4 - 4. Let i = -114 - o. Which is the nearest to 0.1? (a) 1 (b) 0 (c) i b Suppose 8*s - 55 = -5*y + 3*s, -2*s = -8. What is the closest to y in 3, 4, 2? 4 Let z(l) =
{ "pile_set_name": "DM Mathematics" }
37 Calculate the remainder when 2178405 is divided by 38900. 5 Calculate the remainder when 1708542 is divided by 11544. 30 Calculate the remainder when 30625158 is divided by 38. 8 What is the remainder when 43653469 is divided by 153? 121 Calculate the remainder when 8442258 is divided by 527630. 178 What is the remainder when 6920140 is divided by 193? 125 Calculate the remainder when 302760838 is divided by 1128. 1126 What is the remainder when 98197 is divided by 98057? 140 Calculate the remainder when 95161 is divided by 184. 33 Calculate the remainder when 767223374 is divided by 375. 374 What is the remainder when 261146 is divided by 3917? 2624 What is the remainder when 7288563 is divided by 3365? 3338 Calculate the remainder when 2008462 is divided by 665. 162 Calculate the remainder when 9221646 is divided by 12. 6 Calculate the remainder when 2267432 is divided by 735. 692 What is the remainder when 143027 is divided by 71387? 253 What is the remainder when 905091 is divided by 1292? 691 What is the remainder when 744155 is divided by 1746? 359 Calculate the remainder when 853130 is divided by 1156. 2 What is the remainder when 871460 is divided by 249? 209 Calculate the remainder when 225855 is divided by 45146. 125 What is the remainder when 8498 is divided by 190? 138 What is the remainder when 250957 is divided by 362? 91 Calculate the remainder when 3397617 is divided by 2391. 6 Calculate the remainder when 6658603 is divided by 1909. 11 What is the remainder when 4330 is divided by 214? 50 What is the remainder when 1056825 is divided by 2339? 1936 What is the remainder when 12605800 is divided by 19? 3 What is the remainder when 3049108 is divided by 1016362? 22 What is the remainder when 3550070 is divided by 1183112? 734 Calculate the remainder when 452084 is divided by 56. 52 What is the remainder when 2600 is divided by 267? 197 What is the remainder when 47860398 is divided by 56? 54 What is the remainder when 14955361 is divided by 830853? 7 What is the remainder when 60618 is divided by 60565? 53 What is the remainder when 16558916 is divided by 358? 342 What is the remainder when 55721 is divided by 781? 270 Calculate the remainder when 13009591 is divided by 488. 487 Calculate the remainder when 13817183 is divided by 1. 0 Calculate the remainder when 32046 is divided by 801. 6 What is the remainder when 10758964 is divided by 176376? 28 Calculate the remainder when 8022913 is divided by 922. 591 Calculate the remainder when 74101363 is divided by 33. 28 What is the remainder when 7937672 is divided by 360803? 6 Calculate the remainder when 414109 is divided by 25879. 45 What is the remainder when 4403502 is divided by 1544? 14 What is the remainder when 41836 is divided by 3206? 158 What is the remainder when 8017808 is divided by 62639? 16 Calculate the remainder when 2274988 is divided by 38. 4 Calculate the remainder when 9388 is divided by 438. 190 Calculate the remainder when 147185042 is divided by 9832. 2 What is the remainder when 692382 is divided by 4245? 447 What is the remainder when 1068751 is divided by 97136? 255 Calculate the remainder when 123022574 is divided by 941. 939 What is the remainder when 4899410 is divided by 36? 26 Calculate the remainder when 137388 is divided by 1461. 54 What is the remainder when 154369155 is divided by 2380? 2355 Calculate the remainder when 2454919 is divided by 1906. 1897 Calculate the remainder when 2559827 is divided by 6228. 119 What is the remainder when 38369497 is divided by 752343? 4 What is the remainder when 2316988 is divided by 5987? 19 Calculate the remainder when 1370603 is divided by 195799. 10 What is the remainder when 1509163 is divided by 845? 838 Calculate the remainder when 26960 is divided by 26799. 161 Calculate the remainder when 1001890 is divided by 1704. 1642 Calculate the remainder when 147167 is divided by 94. 57 Calculate the remainder when 412388 is divided by 10677. 6662 What is the remainder when 396780 is divided by 395074? 1706 What is the remainder when 4139372 is divided by 1992? 1988 What is the remainder when 2123090 is divided by 127? 31 What is the remainder when 122613 is divided by 60831? 951 What is the remainder when 35493 is divided by 1964? 141 What is the remainder when 374958 is divided by 334? 210 Calculate the remainder when 121004 is divided by 403. 104 What is the remainder when 25134818 is divided by 1651? 1645 What is the remainder when 41394 is divided by 598? 132 What is the remainder when 646672 is divided by 118? 32 What is the remainder when 129426527 is divided by 14? 13 What is the remainder when 5381323 is divided by 538131? 13 What is the remainder when 446514 is divided by 6868? 94 What is the remainder when 24452094 is divided by 11196? 30 What is the remainder when 1659887 is divided by 553289? 20 What is the remainder when 787667 is divided by 787498? 169 Calculate the remainder when 15281324 is divided by 167. 156 Calculate the remainder when 456287 is divided by 5290. 1347 Calculate the remainder when 21894293 is divided by 7298093. 14 What is the remainder when 662007 is divided by 1942? 1727 Calculate the remainder when 5865273 is divided by 318. 81 What is the remainder when 2214201 is divided by 117? 93 What is the remainder when 365432 is divided by 119073? 8213 What is the remainder when 4170856 is divided by 1167? 1165 What is the remainder when 9965509 is divided by 334? 285 What is the remainder when 895559788 is divided by 83? 80 Calculate the remainder when 7725829 is divided by 1473. 1417 Calculate the remainder when 3421636 is divided by 198. 196 What is the remainder when 9331438 is divided by 454? 376 What is the remainder when 97974 is divided by 37? 35 Calculate the remainder when 8007467 is divided by 232. 219 Calculate the remainder when 14353585 is divided by 230. 205 Calculate the remainder when 1760026 is divided by 109. 3 What is the remainder when 68742826 is divided by 11457130? 46 Calculate the remainder when 387849 is divided by 63891. 4503 Calculate the remainder when 85489549 is divided by 1048. 1045 What is the remainder when 14955 is divided by 1898? 1669 What is the remainder when 66772088 is divided by 72? 8 What is the remainder when 4036146 is divided by 117? 114 What is the remainder when 8806324 is divided by 350? 324 Calculate the remainder when 31591 is divided by 3847. 815 What is the remainder when 8661287 is divided by 710? 707 Calculate the remainder when 3199891 is divided by 3199734. 157 Calculate the remainder when 67570322 is divided by 629. 626 What is the remainder when 6231583 is divided by 227? 206 Calculate the remainder when 42952868 is divided by 109. 1 Calculate the remainder when 3401253 is divided by 71. 69 Calculate the remainder when 25980 is divided by 3187. 484 What is the remainder when 19211079 is divided by 142? 41 Calculate the remainder when 2550122 is divided by 411. 278 Calculate the remainder when 26605 is divided by 459. 442 What is the remainder when 366582 is divided by 3108? 2946 Calculate the remainder when 28975832 is divided by 63. 53 What is the remainder when 64509013 is divided by 1768? 1765 What is the remainder when 84281 is divided by 6411? 938 Calculate the remainder when 65471017 is divided by 23. 22 What is the remainder when 83602 is divided by 9070? 1972 Calculate the remainder when 4593236 is divided by 96. 20 Calculate the remainder when 1059088 is divided by 3627. 4 What is the remainder when 108150 is divided by 54059? 32 Calculate the remainder when 17605877 is divided by 3197. 3195 What is the remainder when 200097 is divided by 28528? 401 What is the remainder when 7507393 is divided by 96? 1 Calculate the remainder when 27847733 is divided by 8. 5 What is the remainder when 89669336 is divided by 22? 20 What is the remainder when 278622 is divided by 163? 55 Calculate the remainder when 3379082 is divided by 448. 266 What is the remainder when 49256 is divided by 282? 188 Calculate the remainder when 69806 is divided by 34302. 1202 Calculate the remainder when 45473515 is divided by 148. 71 Calculate the remainder when 269495042 is divided by 89831675. 17 What is the remainder when 101145 is divi
{ "pile_set_name": "DM Mathematics" }
ing order. 1/47, -0.13, -2/7 Put -2, -2813, 5 in decreasing order. 5, -2, -2813 Sort -0.4, -4, -1/2, -57, 3.7 in descending order. 3.7, -0.4, -1/2, -4, -57 Sort 216, 12, -1, 48, 3 in decreasing order. 216, 48, 12, 3, -1 Sort 0.5, 5, -2, 0.69, 1/7, -47 in descending order. 5, 0.69, 0.5, 1/7, -2, -47 Sort -2458, -3, 4, -12, -2, 5 in ascending order. -2458, -12, -3, -2, 4, 5 Sort 11, 143, -14, 10, -2 in decreasing order. 143, 11, 10, -2, -14 Sort 0, -3, -46, -9, -2. -46, -9, -3, -2, 0 Sort -5, -1, 3, -34, -12 in descending order. 3, -1, -5, -12, -34 Put -56, -1, 10, -3, -24 in ascending order. -56, -24, -3, -1, 10 Put -3/2, 501, -18/5, -14 in ascending order. -14, -18/5, -3/2, 501 Sort -4, 11, 1, 4, -3/139, 2 in decreasing order. 11, 4, 2, 1, -3/139, -4 Put 4/7, 18, -1, 6.49 in increasing order. -1, 4/7, 6.49, 18 Sort -2/3, 79, -6.6 in descending order. 79, -2/3, -6.6 Sort 11, 57, -8, -2 in descending order. 57, 11, -2, -8 Sort -29, -5, 371, 2 in decreasing order. 371, 2, -5, -29 Sort -2/11, 57.65, -0.02, -0.04, -2 in decreasing order. 57.65, -0.02, -0.04, -2/11, -2 Sort 0.08, 1, -0.1, 2/15, 0.1, 4/43. -0.1, 0.08, 4/43, 0.1, 2/15, 1 Sort 1, -1, -2, -491 in descending order. 1, -1, -2, -491 Sort 26041, -12, -5. -12, -5, 26041 Put 552, 1, -3, 10 in ascending order. -3, 1, 10, 552 Put 1.2, -4, -3, -0.06, 497/4 in descending order. 497/4, 1.2, -0.06, -3, -4 Sort 5, 0, 3, 43, -15 in increasing order. -15, 0, 3, 5, 43 Sort 2/165, -33, -0.9, -2.8, -3 in decreasing order. 2/165, -0.9, -2.8, -3, -33 Sort -31, -5, 219 in decreasing order. 219, -5, -31 Put 1, -5, -46, 0, -3 in ascending order. -46, -5, -3, 0, 1 Sort 2/3, 12, 11, 0.3, 263 in ascending order. 0.3, 2/3, 11, 12, 263 Sort -0.08, -2/145, 4/5 in descending order. 4/5, -2/145, -0.08 Sort -1, -2280, 2 in increasing order. -2280, -1, 2 Sort 2/5, -11, -196, 6. -196, -11, 2/5, 6 Sort -3, -4, 292, -18 in descending order. 292, -3, -4, -18 Sort -0.084, -0.4, -11 in decreasing order. -0.084, -0.4, -11 Sort 0, -9, -0.04418 in increasing order. -9, -0.04418, 0 Sort -2, -165, -64 in decreasing order. -2, -64, -165 Put -0.5, 14, 18, 0.3, -0.1, 4 in descending order. 18, 14, 4, 0.3, -0.1, -0.5 Put 214, -17, 5, -13 in increasing order. -17, -13, 5, 214 Put 2/11, -3/5, -0.04, -1, -1/24 in ascending order. -1, -3/5, -1/24, -0.04, 2/11 Sort -17, -156, 5, 3 in increasing order. -156, -17, 3, 5 Sort -3, -4, 2, -1, -1373, 4. -1373, -4, -3, -1, 2, 4 Sort -87, 5, 4, -3, -41, -1 in increasing order. -87, -41, -3, -1, 4, 5 Sort -174, 1, -1/39 in descending order. 1, -1/39, -174 Put -9, 1/8, -26, 1/13 in decreasing order. 1/8, 1/13, -9, -26 Sort 2, -92, 119 in increasing order. -92, 2, 119 Put 8, -43, 5, 77, 1 in increasing order. -43, 1, 5, 8, 77 Sort 0, -1/5, 0.5, -812, -3. -812, -3, -1/5, 0, 0.5 Put 4, -7, -4, -1, 3, 20 in decreasing order. 20, 4, 3, -1, -4, -7 Put 5, -138, -3, 3, 2 in increasing order. -138, -3, 2, 3, 5 Sort 9491, 2.6, -1/4, -1 in increasing order. -1, -1/4, 2.6, 9491 Sort -7, -0.029, -5, 1, -0.6 in descending order. 1, -0.029, -0.6, -5, -7 Sort -22815, -2, 5, 2, 4, -5 in ascending order. -22815, -5, -2, 2, 4, 5 Sort 0.5, 2/9, -1/6, 1/3, 237 in ascending order. -1/6, 2/9, 1/3, 0.5, 237 Sort -4, -2, -9, -3, 11, 3. -9, -4, -3, -2, 3, 11 Put 0, 11, -288, 5 in increasing order. -288, 0, 5, 11 Put 81, -61, -24, -5 in decreasing order. 81, -5, -24, -61 Sort -1/3, 1/3, -45/11, -0.056. -45/11, -1/3, -0.056, 1/3 Sort 0.2, -55, -88, 5, 2/5 in descending order. 5, 2/5, 0.2, -55, -88 Sort 25, 0, 552, -9 in descending order. 552, 25, 0, -9 Put -4, -11/10, 41, -0.1, -3 in descending order. 41, -0.1, -11/10, -3, -4 Put 5, 66, -0.4, 4058, -5 in ascending order. -5, -0.4, 5, 66, 4058 Sort -0.68, 0.13, -0.3283 in increasing order. -0.68, -0.3283, 0.13 Sort 0.5, -0.1208, 0.07 in ascending order. -0.1208, 0.07, 0.5 Sort 46, 5, 2, 1, 72 in decreasing order. 72, 46, 5, 2, 1 Sort -12, 1519, 1 in decreasing order. 1519, 1, -12 Put 1.31, 0.3, -15/52 in descending order. 1.31, 0.3, -15/52 Sort 5, -152, -1877, -5. -1877, -152, -5, 5 Sort -8, 59, 0, -4, 5. -8, -4, 0, 5, 59 Sort 14253, 1/4, -3, 3/7 in ascending order. -3, 1/4, 3/7, 14253 Sort -16, 0.19, -5, -4/23. -16, -5, -4/23, 0.19 Sort -4, -447, 13. -447, -4, 13 Sort -1, 9, 3, 1, -171, 8 in ascending order. -171, -1, 1, 3, 8, 9 Sort 3, -1/7, -4.94, 0.5, 0, -1.8 in decreasing order. 3, 0.5, 0, -1/7, -1.8, -4.94 Put -5, -4, -2/119, 38, 3, -1/2 in descending order. 38, 3, -2/119, -1/2, -4, -5 Sort -3, -1/4, 487, -6. -6, -3, -1/4, 487 Sort -2, -20/3, -4831. -4831, -20/3, -2 Put -3, -5, 0, -4350 in increasing order. -4350, -5, -3, 0 Sort 4, -3, 512. -3, 4, 512 Sort -5, 3, 5, -1, -3, 12. -5, -3, -1, 3, 5, 12 Sort -7, -3, 3, 41, -5. -7, -5, -3, 3, 41 Put -3, -3/4, 1391, -44, -0.2, -2 in decreasing order. 1391, -0.2, -3/4, -2, -3, -44 Sort -4/13, 0.2, 17, 6 in decreasing order. 17, 6, 0.2, -4/13 Put 37, -2, 42 in descending order. 42, 37, -2 Sort 13, -5, 9, -1, 32, -2 in increasing order. -5, -2, -1, 9, 13, 32 Put 5, -21, 2, -1, 35 in descending order. 35, 5, 2, -1, -21 Sort 10592, 6, -1 in decreasing order. 10592, 6, -1 Put 12, -43.34, 2/7, 1, -3 in increasing order. -43.34, -3, 2/7, 1, 12 Sort 0.615, -5, 254. -5, 0.615, 254 Sort -12873, -3/2, 2. -12873, -3/2, 2 Put 5, 4, -60, -69 in decreasing order. 5, 4, -60, -69 Sort 5, 0.2, 0.0802. 0.0802, 0.2, 5 Sort -2/7, -49224, -0.5. -49224, -0.5, -2/7 Put 1993/2, -2.1, 0.1, -2 in increasing order. -2.1, -2, 0.1, 1993/2 Sort -174, -4, 4, 2694 in ascending order. -174, -4, 4, 2694 Sort -0.1, 0.2, -3, -260, -1 in descending order. 0.2, -0.1, -1, -3, -260 Put -4/13, -0.1, -0.6, -0.037 in descending order. -0.037, -0.1, -4/13, -0.6 Sort -588, 3, 7. -588, 3, 7 Put 102, 45, -2, 3, 2, 1 in descending order. 102, 45, 3, 2, 1, -2 Sort -3, -7, 6, 106 in descending order. 106, 6, -3, -7 Sort -5, -2, 1, 569, -1, -4. -5, -4, -2, -1, 1, 569 Sort -15, -2, 7, -3, 52. -15, -3, -2, 7, 52 Put -5, -9, 4, 2, -21, -3 in descending order. 4, 2, -3, -5, -9, -21 Put 2/3, -252, -0.4 in increasing order. -252, -0.4, 2/3 Sort -2518, -4, 14, 3 in decreasing order. 14, 3, -4, -2518 Sort -127, 0.01, -0.07, -6, -2 in increasing order. -127, -6, -2, -0.07, 0.01 Sort 365, -3, -1, -20. -20, -3, -1, 365 Sort 1791, 2, -0.3, -3/2, -1, -2 in descending order. 1791, 2, -0.3, -1, -3/2, -2 Sort -3, 833, 5, -2, 2, -246. -246, -3, -2, 2, 5, 833 Put 1/3, -1/4, -4, -4/9, -1/2 in ascending order. -4, -1/2, -4/9, -1/4, 1/3 Put 0, 272, 1, -2, -3 in descending order. 272, 1, 0, -2, -3 Sort 38, 0.5, -30, -4. -30, -4, 0.5, 38 Sort -69/11, 5, 0.3, 3/11, 1/2 in increasing order. -69/11, 3/11, 0.3, 1/2, 5 Sort 2/9, -2.56, -0.4, -5 in increasing order. -5, -2.56, -0.4, 2/9 Sort 4, -6/703, 9 in descending order. 9, 4, -6/703 Put 3, -0.5, 0.1, 4/5, 1, -9 in increasing order. -9, -0.5, 0.1, 4/5, 1, 3 Put 398, -2/7, -7, 0, 3 in ascending order. -7, -2/7, 0, 3, 398 Sort 391, -4, -2, 3/4, -6/7, 0.2 in ascending order. -4, -2, -6/7, 0.2, 3/4, 391 Sort 1, -4, -6, 2, 4, -100 in increasing order. -100, -6, -4, 1, 2, 4 Sort 5, -4, 24, 2, 0 in decreasing order. 24, 5, 2, 0, -4 Sort -10, 0, 2, -2, -1, 1 in descending order. 2, 1, 0, -1, -2, -10 Sort -8, -10, 9, -131 in increasing order. -131, -10, -8, 9 Sort 0.1, 1/8, -0.3, 12763 in descending order. 12763, 1/8, 0.1, -0.3 Put -21.11, 0.5, -0.1, 5, -0.2, -2 in descending order. 5, 0.5, -0.1, -0.2, -2, -21.11 Sort 9694, -3, 6. -3, 6, 9694 Put 14, 1, 4, 200, 0, -2 in descending order. 200, 14, 4, 1, 0, -2 Sort 68, 2/5, -3, -4, 4, -1/6 in ascending order. -4, -3, -1/6, 2/5, 4, 68 Sort 181, -981, -2/3 in decreasing order. 181, -2/3, -981 Sort 0, -22, -3, -15072 in decreasing order. 0, -3, -22, -15072 Put 1/3, -292, -10, 1/2 in descending order. 1/2, 1/3, -10, -292 Sort -1, -124, 5, -5 in increasing order. -124, -5, -1, 5 Put 4, -48, 15, 3, -1, -11 in descending order. 15, 4, 3, -1, -11, -48 Put 1, 108, -4, -2 in decreasing order. 108, 1, -2, -4 Sort 3, -4, 666, 43, 4. -4, 3, 4, 43, 666 Put 2, -2, 4409, 1 in decreasing order. 4409, 2, 1, -2 Sort 4, -26531, 0.1 in decreasing order. 4, 0.1, -26531 Sort -0.5, -5, 0.4, -259/2 in descending order. 0.4, -0.5, -5, -259/2 Put 24, 0, 3246, -4 in decreasing order. 3246, 24, 0, -4 Put 0, 3885, -1, 155, 1/2 in decreasing
{ "pile_set_name": "DM Mathematics" }
+ (-6 - -3 - 3) 2 What is -25 + -10 - -4 - -58? 27 Calculate (78 - 73) + -7 + 2 + 0. 0 What is (31 - -10 - 13 - (4 + 2)) + 2? 24 -5 + -1 + (-6 - (4 + -2)) -14 What is -6 + 1 + (2 - (-1 - (-1 - 6)))? -9 Evaluate (-1 + -4 - (-2 - -3 - -5)) + 2. -9 Evaluate 54 + -55 + (17 - (3 - 0)). 13 What is the value of -4 - ((-34 - (-14 + 14)) + 2)? 28 (-18 - -49) + -46 - (-10 + 1) -6 What is the value of 7 + 11 + (18 - 74)? -38 What is 9 + -10 + (4 - -6)? 9 What is 16 + 0 - (8 - 22)? 30 Evaluate -29 + 25 + (-1 - -13) + -23. -15 (-32 - -23) + (3 - -3) -3 Evaluate 4 - (26 - 20) - (2 + -1 + 3). -6 Calculate (6 - (8 + -8)) + (-1 - 8). -3 What is 0 + -9 + -68 + 81? 4 What is the value of 9 - (0 - (-10 - -9)) - -2? 10 What is (-15 - -9 - -13) + -43? -36 What is the value of (-11 + 7 - -1) + 9 + 23 - 3? 26 Calculate (36 - 43 - (-24 - -1)) + -5 + -1. 10 Evaluate -424 - -451 - (19 + 1). 7 Calculate 117 + -114 - (2 - -12 - (-1 + 2)). -10 What is -8 - (-20 - -12) - 29 - -4? -25 1610 + -1638 + (36 - 0) 8 What is the value of -5 + (15 - 11) + (0 - 0 - 10)? -11 Calculate 15 + -2 + -4 - (-3 - (-14 + -17)). -19 Evaluate 0 + -6 + (-4 - -7) + 16. 13 Evaluate -18 + -1 + 1 + (-28 - 8) + 43. -11 Calculate (-1 + (-3 + -3 - -1) - -4) + -1. -3 What is 25 - (7 - (-43 - -13))? -12 Evaluate (14 - 8) + -4 + (-2 - (2 + -10)). 8 Calculate 1 + 0 - (2 + (10 - (-1 + 6))). -6 Calculate 2 + -17 - (-100 + 91) - -2. -4 What is (10 - (3 - (0 + -5))) + (-19 - -2)? -15 Evaluate (5 - -20) + 2 + -7. 20 Evaluate -18 + 10 - -15 - (-7 + 6 + -13). 21 32 - ((5 - 6) + 10 - -9) 14 Calculate 14 - ((0 - (-10 + 6)) + 3). 7 What is the value of 4 + -6 + (5 - -1) - (-19 + 6)? 17 What is 8 - ((-22 - -3) + 7)? 20 What is (-16 + 39 - -12) + -29? 6 23 + (-55 - -25) - (-14 - -5) 2 What is the value of 1 + (-6 - -1) + -2 - 11? -17 11 - (17 - 13 - -12) -5 Evaluate 19 - (45 + -36 + 36). -26 6 + -11 + (9 - 11) - -14 7 -5 - 10 - -16 - -9 10 Evaluate -33 + 6 + (37 - 34). -24 What is -27 - (-28 - -5) - -14? 10 What is (13 - 6) + -1 + 10 + -13 + -20? -17 What is the value of (0 - (-17 - -13)) + (1 - 15) - -4? -6 Calculate 1 - (18 - (8 + 19)). 10 Evaluate 5 - (38 - (43 - 11)). -1 (3 - 0 - -2) + 17 + -4 + -29 -11 What is -28 + 8 + 10 - (7 - (3 - 2))? -16 What is the value of (-32 + 39 - -16) + (-2 - 8)? 13 What is 23 + (1 + 20 - (-350 + 361))? 33 Evaluate -1 - (11 - (2 + 0 + (27 - 28))). -11 Evaluate 4 + -12 - (72 - 68). -12 Evaluate -13 + (-9 - (3 - 6 - 2)) + 4. -13 Calculate -21 + 2 + (-70 - -115). 26 What is the value of (-12 - -15) + 0 + 4 - 2? 5 -7 - (-78 + 72 - (4 + 2 + -5)) 0 What is -8 - 2 - 12 - -37? 15 Calculate 7 + (4 - 5) - (4 - 5 - 6). 13 Evaluate 506 + -519 + (3 - 1). -11 What is (15 - 13) + (4 - 0)? 6 What is the value of 7 + (-3 + (-4 - 2 - -14) - 16)? -4 Calculate -7 + 5 + -2 + 5 - (-10 + 12). -1 -5 - (8 + -1 + 10 + -18) -4 Calculate (42 - 55) + (0 - -6) + 17. 10 What is -6 - (0 + -6 + 12 - (2 + 1))? -9 What is the value of 30 + -14 + 11 + -4? 23 (-2 - -3) + 2 + (184 - 188) -1 What is the value of (-3 - -9) + (-1 - -10) + -7 - 27? -19 What is the value of -12 - -12 - (1 + -1) - -3? 3 Calculate (1 - 16) + (1 - -7). -7 30 - (67 - (4 - -23)) -10 What is the value of -11 - ((-6 - -9) + -4)? -10 What is 307 + -317 + (-1 - -15)? 4 Calculate (-38 - -43) + (2 - 2). 5 Calculate 30 + -83 + 36 + -3. -20 What is -6 + (0 - (7 + -2)) + 1 + 10? 0 Evaluate 2 + 16 + (7 + -4 + 5 - 6). 20 (103 - 81) + (5 - 5) 22 Calculate -1244 + 1244 - (-2 + 12). -10 What is (0 - -4) + (-2 + 4 - 1) + 0? 5 What is -14 - (-6 + 7 - 7) - -10? 2 Evaluate (12 - (-12 + 13)) + -22. -11 What is -4 + 4 - ((-12 - -7) + 1)? 4 Calculate 3 + 4 - 8 - 4 - 2 - 3. -10 -28 + 32 - (9 - 16) 11 Calculate -2 + (-1 - -14) + (-1 - (3 + -9)). 16 Calculate -12 - (-9 + -14 + 9). 2 What is (32 + -66 - -71) + 0 + -9? 28 Evaluate (-6 - -1 - -8) + -3 - 12. -12 What is -2 + 8 + 2 + -28? -20 Calculate -4 + -2 + 8 + -9 - (6 + 1). -14 Evaluate (-16 - (-9 - 7)) + (9 - -4). 13 16 + (-29 - -16) - 18 -15 What is the value of 3 + (-11 + 1 - -2)? -5 Evaluate -718 + 721 - (-22 + 0 + -2 - -1). 26 Calculate -3899 + 3902 + (-1 + 3 - (2 - 0)). 3 What is the value of 3 + (3 + -3 - -15) + -13? 5 What is -7 - (-20 + 5) - (-18 + 0 + 3)? 23 What is the value of (2 - (1 - (5 + 3))) + -13? -4 Calculate (2 - (6 + -2) - 5) + (566 - 551). 8 Evaluate (115 - 108) + (-4 + -14 - -4). -7 What is the value of -65 + (7 - -26) + 31? -1 What is -17 + (84 - (-3 + 37))? 33 (0 - (-6 + 3)) + (-5 + 3 - -4) 5 What is -21 - -36 - (33 - -3)? -21 What is the value of 5 + (1 - (1 + (3 - -1) + -7))? 8 What is -3 - (-6 - 4 - -3)? 4 16 + (19 + 0 - 38) -3 (4 - (16 - 15)) + -6 -3 3 + -1 + ((-4 - -3) + 1 - -14) 16 Evaluate (47 - 28) + (2 + -1 - 6). 14 Calculate 1695 + -1666 + (2 - (-1 - -16)). 16 Calculate -18 - (-1 - 1) - ((-19 - 10) + 22). -9 Calculate (28 - 16) + -8 - 23. -19 7 + 25 + -16 + -2 14 What is the value of ((1 - 0 - 33) + -4 - -6) + 9? -21 What is the value of 17 - (6 - (-6 - (7 + -6 - 8)))? 12 What is the value of (-29 + 12 + 2 - -14) + -5? -6 Calculate (0 - 3) + (-15 - (-7 + 1 - -1)). -13 Calculate -2 + -8 - (13 + -18 - -7). -12 Evaluate (-7 + 15 - 1) + 5. 12 Calculate 8 - ((-4 - 9) + 11). 10 What is the value of (5 - (-3 - 3 - -3)) + -21? -13 What is (48 - (24 - 0)) + -43? -19 What is 2132 + -2151 + (1 - 8)? -26 14 - -41 - (17 + -3) 41 What is the value of -21 + (19 - -10) - (-5 + -3 + 5)? 11 Evaluate -10 - (9 + -57 - -26). 12 Evaluate 8 + -2 + (7 - 11) - 1 - -7. 8 0 + -14 - -23 - 27 -18 What is the value of -1 + -11 - (-6 - -3) - (-12 - -5)? -2 What is -37 + 28 + (-7 - 1)? -17 0 - (0 + -1 - 13) 14 What is the value of 392 + -387 + (16 - (-3 + 7))? 17 Evaluate 11 + (26 - 24) + (-7 - -1) - -6. 13 Evaluate (-6 - -3) + (-13 - -2 - -6) + -14. -22 What is the value of 46 + -46 - ((-2 - 9) + 1)? 10 44 - -3 - (-34 + 63) 18 What is the value of 0 + -8 + 0 + 22 + -8? 6 What is (-6 - (3 - 3)) + 5 + (-12 - -8)? -5 Calculate (8 - 5) + -36 + 59. 26 Evaluate -3 - (-6 - (10 + -9)) - -7. 11 Evaluate 6 - (-9 + -1) - 2. 14 Evaluate -212 + 213 - (-1 - (1 + 21)) - 8. 16 What is the value of (218 + -218 - (1 - -9)) + 12? 2 What is (-23 - -12 - -12 - (2 + 5)) + 0? -6 Calculate -10 - (-12 + 0 + 21). -19 Evaluate 6 + -1 - (-17 - (3 + -15)). 10 -5 + 10 - (10 + -13 + -3) 11 Evaluate -43 - (-24 - 9) - 20. -30 What is the value of (10 - (-2 - 6)) + -24? -6 What is 0 + 0 + (9 - 2 - 1)? 6 What is -33 - (0 + -1) - ((28 - 54) + 17)? -23 What is the value of -3 + (-141 + 152 + (-10 - 0) - 3)? -5 Evaluate -18 - -21 - 5 - 11. -13 Evaluate (-2 - -3) + -11 + 11 + -10 + -3. -12 Calculate 20 + (-20 - -13) - 6 - (1 - -10). -4 Calculate (-27 + 1 - -13) + 15. 2 Evaluate (-29 - -49) + -3 + -6. 11 6 + -1 + -2 + 5 - 2 6 What is -10 + -14 - (-11 - (-8 + 2))? -19 What is (36 - 20) + (-26 - 0)? -10 Calculate (3 + 4 + (11 - -7) - 6) + 9. 28 Calculate 12 - (6 + (-10 - -19) - 16). 13 What is -27 - -14 - (9 + -1 + -17)? -4 What is the value of -9 + 33 + (1 - 1)? 24 -111 + 57 + (-1 - -13) - -11 -31 Evaluate 5 + (-4 - -6) - -6. 13 What is -25 + 34 + -16 + 3? -4 Calculate (5 - (3 + -11)) + -10 + 6. 9 Calculate 9 - (10 - ((-9 - -10) + 1 - -9)). 10 Evaluate 9 - 1 - ((-3 + 1 - 5) + 7). 8 (-17 - -6 - (-6 - 2)) + 12 9 What is -1 - 3 - (-6 + 3 - 10)? 9 0 + (-10 - (-15 + -2 + -4)) 11 What is -891 + 892 + -1 + -1 + -9? -10 Evaluate -1 + -16 - (-12 - (5 - 6)). -6 What is the value of -19 + (17 - (-12 - -36))? -26 What is the value of (2 - (-1 - -8)) + (-12 + -14 - -21)? -10 What is -2 - 0 - (-28 - (13 + -33))? 6 What is the value of -1 - (25 + (-10 - -3) - 6)? -13 What is (-1 - -1) + (36 - 47)? -11 What is 37 + -23 + 14 - 23? 5 Evaluate 2 + -14 + 2 - (-4 + 6 - 5). -7 What is the value of 22 + (-39 - -40 - (-9 + -2))? 34 -251 - -256 - (0 - 8) 13 Calculate 19 - (37 - 16 - 18). 16 What is the value of (17 - (18 + -6) - 4) + (9 - 2)? 8 -16 - ((-4 - 2) + -1) -9 Evaluate 5 + -8 + (6 - (4 - -3)) + 4. 0 Calculate 25 - (-1 - (-2 - 6)). 18 What is -42 + 65 + 3 + -1 + -7? 18 -11 - (-107 + 90 - (0 - 8)) -2 What is (-68 - -30) + 33 + 38? 33 Calculate 26 - ((-39 - -29) + 19 + -1 - 8). 26 What is -9 - 9 - (1 + 7)? -26 What is the value of -8 - (34 + -12 + -41)? 11 14 - (-2 - -7) - -6 - (8 + -2) 9 Calculate (44 + 11 - 57) + (1 - -7). 6 Calculate (-6 - (1 + -3) - 0) + -8. -12 (13
{ "pile_set_name": "DM Mathematics" }
l = 0.09377 + 0.20623. What is the closest to l in o, -0.1, 2, -1/4? -0.1 Let d = -6036 + 168953/28. Let v = d - -12/7. Suppose 39*w - 10 = 37*w. Which is the closest to w? (a) -0.4 (b) v (c) -2 b Let f(d) = d**2 - 8*d. Let v(m) = -14*m - 20. Let g be v(-2). Let l be f(g). Let u = -6 - -5.6. Which is the closest to -2/5? (a) -0.3 (b) l (c) u c Let r = 7387 + -7366. Which is the nearest to -3/2? (a) -1/7 (b) r (c) 1 a Let x = 22505 - 22510. Which is the closest to 8? (a) 3 (b) x (c) 5 (d) -0.12 c Let x = -0.274 + 960.274. Let o = x - 932. What is the nearest to 1 in -5, o, 3/2? 3/2 Let g = 18/5 + -77/20. Let z = 2.187 + -0.087. Let b = -2.1 + z. What is the closest to g in 2/9, -0.3, b? -0.3 Let a = 0.9473 - -0.0527. What is the nearest to 192 in a, -3/8, 2? 2 Let s = -1.436 + 1.536. Let k = -2.05 + 0.05. Which is the closest to -0.5? (a) k (b) -5 (c) 5 (d) s d Let m = -0.92 - -1.22. Let o = -450.93 + 451. What is the closest to -0.1 in o, m, -0.4? o Let i = -25/29 + 104/87. Which is the closest to 3/236? (a) 3/4 (b) 3 (c) i (d) 2 c Let g = 0.10272 - 0.20272. Which is the nearest to 1/27? (a) -1/9 (b) 4/7 (c) -3 (d) g d Let q = -81679/3 - -27227. What is the closest to 2 in 3, q, -102? 3 Let i = 421/3 + -422/3. Let g = -0.8 - -5.8. Which is the nearest to -7/2? (a) g (b) i (c) -3 c Let r(d) = 20*d - 95*d + 43*d - 160. Let i be r(-5). Which is the nearest to 1/5? (a) -0.03 (b) 4 (c) i c Let i be 52/(-14) + 10/(-35) - -14. Let q be 12/i*(-12 + 53/4). Which is the nearest to 1? (a) 4 (b) 2/39 (c) q c Let m = -53/6 - -9. Let w be ((-9)/7)/(-1) + (-42)/147. Let x be (1*18/(-21))/(8/(-28)). Which is the closest to 1/6? (a) m (b) x (c) w a Suppose -4*y + 8*y + 3*v - 19 = 0, -8 = -3*y - v. Let c = -2/89 - 441/178. Let z = 145623 - 145622.8. What is the nearest to y in z, c, 0.4? 0.4 Let c = -29366 - -29365.7. What is the closest to 58 in 3, 0, -4, c? 3 Let l be -14 + (18/(-3) + 6)*-1. Which is the nearest to l? (a) -4 (b) 5 (c) -3 (d) -10 d Let t = -0.11644 + -0.08356. Let i be 1/(-2) + (-2)/(-4). What is the nearest to i in -0.4, 0, t, 0.5? 0 Let g = 5/9 + -8/63. Let j = -604 + 928. Let m = -329 + j. What is the nearest to -2/9 in -2, g, m? g Let l = 20500 + -20500.1. Which is the closest to l? (a) -1 (b) -5/27 (c) -1/9 (d) 5 c Let l = 59/71 + -319/213. Which is the closest to -1? (a) 0.1 (b) 1.9 (c) 2/7 (d) l d Let q(n) = n**2 + 59*n + 865. Let p be q(-35). What is the nearest to 0.07 in p, 3, 2, -3/2? -3/2 Let g = -0.36049 + -6.63951. Which is the nearest to -1? (a) -17 (b) 0 (c) 0.2 (d) g b Let q = 3783 + -3783.5. Let r be 2/((-5)/(10/4)). What is the nearest to r in q, 43, -0.3? q Let i(h) = -2*h**2 + 17*h - 12. Let g be (-1)/((-1)/3*21/56). Let l be i(g). Let k be ((-8)/(-180))/(5/(-25)). What is the nearest to k in l, 0.3, -5/2? 0.3 Let d be -152 - 6 - (1 + 0). Let t = -154 - d. What is the closest to 3 in 0.06, t, 3? 3 Let a = 12.845 + -8.845. What is the closest to 1/5 in 1, a, 1/3, -5/3? 1/3 Let i = 0.1157 + 0.2843. What is the nearest to -0.1 in -3, -1.9, 2, i? i Let g = -205.32 - -205.08. Which is the closest to g? (a) 3 (b) -0.1 (c) -0.4 (d) -1/6 d Let s be ((-160)/24)/((-15)/(-6)). Which is the nearest to 1/4? (a) -11 (b) -4 (c) s (d) 3/4 d Let d(c) = -3*c**2 + 25*c - 53. Let s be d(4). What is the closest to 0.1 in -24, 1, s? 1 Let q = -4.1614 + 4.6614. Which is the closest to -1? (a) -0.3 (b) q (c) -3/2 (d) -251 c Let s = 216/1891 - 5/61. Which is the nearest to 0.1? (a) s (b) 2 (c) -0.03 a Suppose -3*d + 32 = -5*f, -d + 3*d - 4 = -f. Suppose -d*k + 0*q - 4 = 3*q, 4 = -4*k - q. What is the closest to k in 2/9, 2, 1/5? 1/5 Let w = -0.5 + 0. Let v = -2 + 2.1. Let g = -113.2385 - -113.5385. Which is the closest to v? (a) g (b) w (c) 0.13 c Suppose j = 7*j. Let x = 8 - 13. Let n be 84/105*6/12. What is the closest to -2/7 in j, x, n? j Let i = -0.04 + -0.96. Let w = -10849 + 10846. Which is the closest to 66? (a) i (b) w (c) 1/4 c Let u = -9457/3 - -3126. Let p = 173/6 + u. Which is the closest to 0? (a) 0.2 (b) p (c) 1/6 c Let n(w) = w**3 + 6*w**2 + 3*w + 22. Let z be n(-6). Let i = -12115/12 + 1009. Let s = i + 5/12. Which is the closest to 3? (a) s (b) z (c) -4 b Let n = 0.3654 - 0.1654. What is the closest to 1/2 in 3, -5, n? n Suppose -26 + 5 = 7*d. Let s be -2 - (-3 - (d - 6)). What is the closest to 0.2 in s, 1, 0.06? 0.06 Let l = -10209 + 10211. Which is the closest to l? (a) -0.2 (b) 3 (c) 4 (d) 24 b Let w be (51/((-3213)/18))/((-4)/14). What is the closest to -1 in 30/13, w, 0? 0 Let b = -110229 - -110240. Let x = 4 + -2. What is the closest to b in -0.5, 5, x, 2/11? 5 Let t be (-9)/4 - (-3)/((-21)/(-14)). Let q = 4.31 + 1.69. Which is the closest to 4/9? (a) t (b) q (c) 2/7 c Let z = 2341 - 2341.8. Which is the nearest to 0? (a) 0.1 (b) -0.2 (c) z (d) -9 a Let j be 4/((-4)/10*-5). Let w be j + -1 + -3 - 4. Let y be 13/(-4) + w/(-2). Which is the closest to -1/3? (a) -0.4 (b) -1/2 (c) y a Let q be 6/15*(12/(-16) - -2). Let j be (2/(-28))/(16/(-64)). Let s = 7 - 4. What is the closest to q in 1/6, j, s? j Let k = -814.1 - -814. Let q = -44 + 306/7. Which is the closest to k? (a) q (b) 0 (c) -2 b Let j(s) = -s**3 + 22*s**2 - 36*s - 78. Let w be j(20). Let l be w + ((-90)/35 - 5) + 5. Let y = 3 - 1. Which is the nearest to 0? (a) y (b) l (c) 0.1 c Let p(s) = 2*s**3 - 7*s**2 - 14*s - 8. Let v be p(5). Which is the nearest to 0.1? (a) v (b) 0.2 (c) -118 b Let s = 31.87 - 32. Let r = -787.6 - -788. Which is the closest to s? (a) -1 (b) -2 (c) r c Let q = 22 - 26. Let v = 5595 - 5595.5. What is the nearest to 2 in 4/5, q, v? 4/5 Let l = -1819 - -1818. Let w = 56.989 + -57. Which is the closest to l? (a) -1/3 (b) w (c) -5 a Suppose 416 + 566 = 84*z + 814. Let g = 0.1 + -0.3. What is the nearest to z in -7/4, g, 3? 3 Let y = 0 + 2. Let q = -69 - -75. Let w be 34/(-4)*(-22)/55 + -3. What is the closest to y in q, 0.2, w? w Suppose 2*r - 5*j + j = 0, 4 = 2*j. Let u = -41 - -42.05. Let l = u + -0.05. Which is the closest to -0.1? (a) l (b) -1 (c) r b Let b = -4609 - -4604.5. What is the closest to 0.1 in -3, -0.5, b, 0.02? 0.02 Let q be (4 - 102/24)/((-9)/(-360)*25). What is the nearest to -109 in -0.5, -2, -2/11, q? -2 Let u be (-737)/(-5) - 6/15. Let x = u + -163. Let m be (1/(-30))/((-8)/24). Which is the closest to x? (a) 0 (b) m (c) -0.5 c Let g = 2083.1 - 2322. Let y = g + 239. What is the nearest to y in 2/21, -1, -3? 2/21 Let q = -757.8 - -758. Suppose 4*i + 169 = 161. Which is the closest to 0.1? (a) i (b) 3 (c) q (d) 0.1 d Let h = 717.1 + -717.6. What is the closest to 28 in h, -4/5, 6? 6 Let f = 80623/5 + -16124. What is the nearest to f in -2, 0.09, 120? 0.09 Let v = -11/50 + -1/450. Let o = 0.05 - -0.06. Let y = 0.21 - o. Which is the nearest to y? (a) -1/7 (b) v (c) -10 a Let i be -18 + 3 + 10 - (-17)/4. What is the nearest to -0.02 in -5, -2/7, i, 1/5? 1/5 Let w be ((-13)/((-390)/(-12)))/(9/10). Let d = 54.869 - 54.769. Let r = 0 + 0.4. What is the nearest to -0.1 in d, w, r? d Let l(a) = 3*a - 8. Let u be l(4). Let k = 19978 + -99456/5. Let s = k - 87. What is the closest to 1 in u, -0.04, s? -0.04 Let l(d) = 85*d - 174. Let t be l(2). Which is the nearest to -2/9? (a) 2/9 (b) -316 (c) t a Let z = -6.298 + 6.188. Which is the nearest to 1/4? (a) -3/4 (b) 2/9 (c) -3/8 (d) z b Let x = -30.45 - -35.45. What is the closest to 2/23 in -0.6, -2, x? -0.6 Let c = -59/2 + 29. Let t be 3/(-21) - 50/630. What is the nearest to c in 0.5, t, 2? t Let v = -75 + 95. Let m = 62 + v. Let w = -81.6 + m. What is the nearest to -1 in -2/25, w, -1/3? -1/3 Let t = -173554/9 - -19284. Suppose -2*z = -6 - 2. What is the nearest to 0.1 in -1, z, t? t Let j = 96723/386876 - 1/96719. Let k = 16 + -10. What is the closest to k in 1/7, j, 0.02? j Let y = 0.14 + -0.13. Suppose -20*i = -22*i + 38. Let z = i - 17. Which is the nearest to -2/5? (a) y (b) 0.3 (c) z a Let x = -489 - -488.96. Let t = 86 - 85.7. Which is the closest to -13? (a) 1 (b) x (c) t b Let l = -3746 + 3750. What is the nearest to -2 in l, 1/3, 0.2, -5? 0.2 Let k = -1458 + 891. Let u = k - -573. What is the nearest to 1/3 in 0.4, 5, u, -2/13? 0.4 Let
{ "pile_set_name": "DM Mathematics" }
z - z - 10*z + z - 13 - 11*z**3. Suppose 76*c - 74*c = -26. Let y(b) = 5*b**3 + 6*b + 6. What is c*y(s) - 6*r(s)? s**3 Let p(o) = -20*o**2 - 10*o**2 + 15*o + 15 + 36*o**2. Let m(r) = 3*r**2 + 7*r + 7. What is 13*m(c) - 6*p(c)? 3*c**2 + c + 1 Let t(p) = -p**2 + 2. Let g(r) = 36*r**2 + 3*r - 2. Give g(z) + t(z). 35*z**2 + 3*z Let a(t) be the second derivative of -t**4/3 - 160*t. Let k(r) = r + 1. Give -a(y) - k(y). 4*y**2 - y - 1 Let g(s) be the first derivative of -2*s**3/3 - 6*s**2 - 30*s + 378. Let j(a) = a**2 + 5*a + 12. Give 5*g(d) + 12*j(d). 2*d**2 - 6 Let s be (2 - -4 - (21 + -16))/1. Let k(v) = 2 + 0 - 2*v - 2*v**2 - 5. Let y(x) = -x**3 - x**2 - 1. Give s*k(r) - 2*y(r). 2*r**3 - 2*r - 1 Let t(k) = -5*k**2 + 5*k + 15. Let h(j) = -3*j**2 + 3*j + 8. Let g be (252/294)/(9/(-42)). What is g*t(v) + 7*h(v)? -v**2 + v - 4 Let o(b) = 110*b**3 - 2*b + 2. Let m(h) = -1. Calculate -4*m(w) - o(w). -110*w**3 + 2*w + 2 Let h(j) = -j + 1. Let g be (2/18*6)/(3/(-18)). Let q(p) = -5*p + 6. Give g*h(f) + q(f). -f + 2 Let d(c) = -c - 1. Let p(g) = -8*g**3 - 6*g - 10. Give -8*d(k) + p(k). -8*k**3 + 2*k - 2 Let r(w) = -w**3 + 5*w - 7. Let j(z) = -z**3 + z**2 - z + 1. Give -5*j(k) - r(k). 6*k**3 - 5*k**2 + 2 Let l(s) = 3*s**2 + 11*s - 14. Let m be 2*2/(8/6). Let b(u) be the first derivative of u**3/3 + 2*u**2 - 5*u + 1393. Determine m*l(n) - 8*b(n). n**2 + n - 2 Let t(p) = -3*p**2 + 2*p - 3. Let c(k) = -9*k - 28 - 45 + 89 - 2*k + 16*k**2. Give -2*c(j) - 11*t(j). j**2 + 1 Let i(q) = -q**2 - 1. Let c(s) = -23*s**2 + 22*s**2 - 5*s**2 + 2*s**3 - 2*s - 5. Determine -c(w) + 6*i(w). -2*w**3 + 2*w - 1 Let r(b) = -b**3 + b**2 + 2*b - 1. Let j(z) = -117*z**3 + 3*z**2 + 6*z - 3. Give -j(n) + 3*r(n). 114*n**3 Let a(v) = -17*v. Suppose -37*x - 49 = -30*x. Let o(i) = 9*i. Calculate x*o(u) - 4*a(u). 5*u Let q(a) = a + 11. Let f(z) = 2*z + 23. Let w(g) = -3*f(g) + 7*q(g). Let k(h) = -h - 9. Give -5*k(x) - 6*w(x). -x - 3 Let s(c) = -3*c - 378. Let j(g) = -4*g - 567. What is -5*j(x) + 7*s(x)? -x + 189 Let l(m) = 4*m**2 + 1. Let n(k) = 11*k**2 + 3. Determine 7*l(x) - 2*n(x). 6*x**2 + 1 Let n(f) = -17. Let c(k) = 40. Let u(p) = 3*c(p) + 7*n(p). Let z(o) = o + 1. What is 2*u(w) + z(w)? w + 3 Let n(g) = g**2 - g - 1. Let b(v) = -9*v**2 + v + 18. Calculate -b(c) - 3*n(c). 6*c**2 + 2*c - 15 Let y(a) be the second derivative of a**3/6 - 3*a**2 - a. Let j be 1*(3 + -6) - 1. Let o(p) = -1. Suppose -20*r = -22*r + 2. Calculate j*o(u) + r*y(u). u - 2 Let m(h) = -h**3 - h**2 - h - 1. Let p(a) = -7*a**3 - 5*a**2 - 17*a - 6. Give 6*m(z) - p(z). z**3 - z**2 + 11*z Let m(y) = y - 3. Let r(f) be the third derivative of -2*f**3/3 - 2*f**2. Suppose 46*v + 12 = 40*v. Calculate v*r(o) + 3*m(o). 3*o - 1 Let q(l) = -3*l. Let s(h) = -h. Let i = 73 + -69. Suppose 2*m + i*u - 1 = 5, 3*m + 7 = -2*u. Calculate m*q(w) + 12*s(w). 3*w Let b = 520 + -515. Let z(q) = 3*q**2 - 3*q + 2. Let r(j) = -2*j**2 + 2*j - 2. Calculate b*r(i) + 4*z(i). 2*i**2 - 2*i - 2 Let l(w) = -21*w**2 - 13*w - 13. Let i be -5 - 160/(-15) - 2/3. Let h(j) = -i*j - 6 - j + 0*j - 2*j**2 - 8*j**2. Give 13*h(m) - 6*l(m). -4*m**2 Let z(f) = -15*f + 1 - 25*f - 19*f + 57*f. Let g(y) be the third derivative of y**4/4 - y**3/3 + 2*y**2. Give 3*g(a) + 8*z(a). 2*a + 2 Let p(x) = -14*x - 4. Let s(m) = -5 + 4 + 5 - 24*m + 29*m - 3. What is 6*p(y) + 17*s(y)? y - 7 Let g(o) = 546*o - 34. Let j(s) = 136*s - 8. Give -2*g(x) + 9*j(x). 132*x - 4 Suppose -4*k = -7 - 5. Let h(j) = -j + 4*j - j + k*j - 1. Let r(z) = -9*z + 2. Give -5*h(t) - 3*r(t). 2*t - 1 Let t(v) = -v - 33*v**2 + 2*v + 5 + 36*v**2. Let s(w) = 3*w**2 + 2*w + 6. Calculate 3*s(p) - 4*t(p). -3*p**2 + 2*p - 2 Let v(k) = -k**2 - 9*k - 9. Let w be v(-6). Let i(f) = 5*f + 3. Let r(y) be the first derivative of 11/2*y**2 + 7*y - 2. What is w*i(a) - 4*r(a)? a - 1 Let k(r) = -9*r - 4. Let w(f) = 144*f + 63. Suppose 0 = -c - 2*b + 4*b - 57, 5*c + 3*b = -324. What is c*k(i) - 4*w(i)? -9*i Let z(p) = -8*p**2 - p + 25. Let l(q) = -6*q**2 + 25. Calculate 3*l(u) - 2*z(u). -2*u**2 + 2*u + 25 Let r(u) = -21*u**2 + 8*u - 6. Let z(v) = -4*v**2 + v - 1. What is -r(n) + 3*z(n)? 9*n**2 - 5*n + 3 Let o(f) = 2*f**2 - 5. Let p(z) = z**3 + 6*z**2 + 5*z + 3. Suppose -4*b = 6*b + 50. Let x be p(b). Let y(a) = -4*a**2 + 9. What is x*y(m) + 5*o(m)? -2*m**2 + 2 Let t(c) = -6*c + 7. Let k(w) = 3*w - 4. Let d(f) = 3*f**3 + f**2 - 2*f + 1. Let i be d(-2). Let j = i + 21. Determine j*t(g) + 11*k(g). -3*g - 2 Let r(q) = 2*q**3 - 347*q**2 + 4*q - 4. Let h(j) = -j**3 + 4*j**2 - j + 1. Calculate 4*h(c) + r(c). -2*c**3 - 331*c**2 Let t(c) = 72*c + 24. Let l(p) = p + 2. Calculate -15*l(w) + t(w). 57*w - 6 Let v(x) = 2*x**2 - 4*x + 8. Let o(i) be the first derivative of i**3/6 - i**2/2 + 10*i + 15. Let l(w) be the first derivative of o(w). Give 6*l(a) + v(a). 2*a**2 + 2*a + 2 Let a(g) = -328*g**2 - 4*g - 6. Let b(d) = -327*d**2 - 2*d - 4. Determine 2*a(l) - 3*b(l). 325*l**2 - 2*l Let v(f) = -2*f**2 - f - 5. Let i(c) be the first derivative of 2*c**3/3 + c**2/2 + 6*c - 31. Give -4*i(h) - 5*v(h). 2*h**2 + h + 1 Let h(o) = 5*o + 161. Let i(a) = 14*a + 483. Calculate 8*h(b) - 3*i(b). -2*b - 161 Let u be (-3)/9 + (-26)/(-6). Let l(s) = 5*s**2 + u + 0*s**2 + s**2. Suppose 4*a + 12 = 8*a, 3*k = -2*a - 6. Let r(w) = 17*w**2 + 11. Give k*r(v) + 11*l(v). -2*v**2 Let h(i) = i**2 + 7*i + 3. Let j(u) be the third derivative of -u**5/30 - 5*u**4/8 - 7*u**3/6 - 2*u**2 + 44. Calculate 7*h(n) + 3*j(n). n**2 + 4*n Let c(n) = -n + 9. Let y(d) be the second derivative of d**3/6 - 9*d**2/2 - 177*d + 2. Calculate 5*c(r) + 6*y(r). r - 9 Let s(g) = 2*g**2 + 5*g - 1. Suppose -18 = 7*a - 46. Let j(i) = -i**2 - 5*i + 1. Give a*j(k) + 3*s(k). 2*k**2 - 5*k + 1 Let b(m) = 146*m - 38. Let y(x) = 97*x - 24. What is -5*b(z) + 8*y(z)? 46*z - 2 Let x(y) = y. Let o(j) = 6*j**2 + 12*j - 4. Let c be o(-2). Let z(u) = -2*u**2 - 3*u - 1. Give c*x(q) - z(q). 2*q**2 - q + 1 Suppose -5*k + 5*q = -200, -7*q + 3*q - 49 = -k. Let y = k + -32. Let w(g) be the second derivative of g**3/6 + g. Let a(r) = 3*r + 1. Give y*w(d) - a(d). 2*d - 1 Let i(z) = 4*z**3 - 3*z**2 - 2*z + 12. Let s(x) = -7*x**3 + 5*x**2 + 4*x - 22. What is 5*i(n) + 3*s(n)? -n**3 + 2*n - 6 Suppose -3*y = f + 20, -3*f - 18 = 3*y - 0. Let k(p) = -3*p**3 - 3*p**2 + 6*p + 4. Let g(q) = -5*q**3 - 5*q**2 + 11*q + 7. Calculate y*k(l) + 4*g(l). l**3 + l**2 + 2*l Let x(c) = 350*c - 6. Let v(n) = 334947*n - 5744. Give -3*v(s) + 2872*x(s). 359*s Let k(o) be the first derivative of -871*o**2/2 - 29. Let i(n) = -15*n. Calculate 117*i(c) - 2*k(c). -13*c Let z(b) = -25*b + 280. Let i be z(13). Let d(w) be the third derivative of w**5/60 - 2*w**2. Let x(f) = 10*f**2. What is i*d(j) + 4*x(j)? -5*j**2 Let c(h) be the second derivative of h**2/2 + 114*h - 1. Let m(r) = -r + 1. Determine -5*c(z) + 5*m(z). -5*z Let j(p) = -10759*p**3 + 265*p**2 + 265. Let y(s) = 163*s**3 - 4*s**2 - 4. Determine -4*j(v) - 265*y(v). -159*v**3 Suppose 0*c - 18 = -3*c. Suppose -c*p - 26 = 7*p. Let g(f) = 2*f + 4. Let h = 0 + 1. Let k(z) = 1. Determine h*g(l) + p*k(l). 2*l + 2 Let z(o) = o - 1. Let f be (-64872)/(-9) - (3 + -3). Let l(k) = f + k - 7208. Suppose x = 5*n - 3, -3*n - 2*n + 9 = 2*x. Calculate n*z(q) + l(q). 2*q - 1 Let l(p) = -8*p**3 + 2. Let q(u) = 7*u**3 - 2. Let m(s) = -s - 3. Let n = 16 + -12. Let y be m(n). Give y*q(k) - 6*l(k). -k**3 + 2 Let n(x) = -5661*x + 1665. Let q(j) = -3*j + 1. Calculate n(h) - 1665*q(h). -666*h Let s(t) be the first derivative of -t**4/6 + 4*t**3/3 + 2*t**2 + 12. Let z(y) be the second derivative of s(y). Let f(g) = 3*g - 5. Determine -8*f(d) - 5*z(d). -4*d Let t(a) = -13*a - 7. Let h(s) = -24*s - 13. Give -3*h(p) + 5*t(p). 7*p + 4 Let x(o) be the third derivative of o**6/2 + o**4/3 - 4*o**3/3 + 2*o**2 - 185. Let i(y) = -20*y**3 - 3*y + 3. Calculate 8*i(q) + 3*x(q). 20*q**3 Suppose 0*l - 5*w = -l + 4, -5*w - 88 = 3*l. Let f(k) = -13*k**2 - 4*k + 4. Let p(q) = 66*q**2 + 21*q - 21. Give l*f(c) - 4*p(c). 9*c**2 Let a(x) = 11*x**2 + 31*x - 25. Let k(g) = -9*g**2 - 30*g + 23. What is 4*a(w) + 5*k(w)? -w**2 - 26*w + 15 Let a(i) = 4*i - 1. Let l be (-194)/(-38) - 4/38. Let s(n) = 2*n - 1. Determine l*s(b) - 3*a(b). -2*b - 2 Let y(i) = -215 + 3*i - 5*i + 0*i + 229. Let v(s) = 1. Determine 6*v(j) - y(j). 2*j - 8 Su
{ "pile_set_name": "DM Mathematics" }
rk out 0.506 * -0.1. -0.0506 What is the product of 13 and 5? 65 0.04 times 0.9 0.036 What is 1.4 times 14? 19.6 Product of 5 and -27. -135 Multiply -2.3 and -2.7. 6.21 -0.103*-2 0.206 Product of -0.8 and -3. 2.4 What is the product of 1.354 and -7? -9.478 Product of 5.17 and 0.3. 1.551 3591 times -4 -14364 Calculate 0.3*1.66. 0.498 Calculate 0.2*-49. -9.8 Work out 93 * 3. 279 What is the product of 0.5 and -56? -28 What is the product of 0.144 and -2? -0.288 Calculate -2.59*2. -5.18 1 times -3.02 -3.02 -0.058*-0.3 0.0174 -1 * 0.92 -0.92 Calculate 0.024*-15. -0.36 Product of -32 and 0.4. -12.8 What is the product of 4117 and 6? 24702 What is the product of -179 and 3? -537 What is 0.7 times 163.3? 114.31 Product of 5 and 42. 210 What is 5 times -56? -280 Multiply 0.3 and 0.001. 0.0003 3 times 571.3 1713.9 Calculate -442*-6. 2652 Product of -1651 and -0.4. 660.4 Product of -0.3 and 63. -18.9 What is the product of -34 and -0.6? 20.4 Work out 0 * -0.0409. 0 Multiply 633 and 0.4. 253.2 0.3 * -0.229 -0.0687 0.206 times 10 2.06 Calculate 0*33. 0 -3*-1.56 4.68 What is -3 times 1341? -4023 3.9*-0.14 -0.546 Multiply -1 and -103. 103 What is the product of 0.11 and 0.11? 0.0121 0.307*-0.5 -0.1535 Work out 24 * 41. 984 Product of -84 and 6. -504 Product of -1.2 and -0.019. 0.0228 What is the product of -248 and -2? 496 Calculate -4*3087. -12348 What is 6 times -0.7? -4.2 0.1089*-6 -0.6534 Calculate 221*0.2. 44.2 Multiply -28 and -2.1. 58.8 What is the product of 260 and -0.4? -104 0.1 * -1371 -137.1 -96*3 -288 1 * -238.1 -238.1 Multiply -22100 and 5. -110500 19*-129 -2451 252*-2.8 -705.6 Multiply -5 and 6211. -31055 What is 13 times -6? -78 What is the product of 15632 and 0.1? 1563.2 -0.5 times -1.48 0.74 Work out -1 * -2058. 2058 0.3 times -0.504 -0.1512 Calculate -31*-0.9. 27.9 0.024*-3 -0.072 What is -4 times 450? -1800 Product of -10 and -0.01. 0.1 Multiply 0.04 and 1475. 59 Multiply -1908 and 0.5. -954 -0.2*16.9 -3.38 0.04*372.9 14.916 12 times 2.6 31.2 -8*25 -200 Work out 8.96 * 0. 0 -8.92 times 0.09 -0.8028 3*471 1413 -0.1*-7 0.7 Multiply 0.8 and 4.2. 3.36 What is -386 times -6? 2316 Product of 0.009 and -4. -0.036 Calculate 0.007*-0.2. -0.0014 What is the product of -2 and -0.1289? 0.2578 What is the product of -0.95 and 8? -7.6 What is the product of -3 and -77? 231 Calculate 99*0.1. 9.9 What is the product of 6.58 and -0.06? -0.3948 0*0.041 0 What is -0.04 times -7? 0.28 Work out 1 * -92. -92 0.21*13.5 2.835 What is 1294 times -4? -5176 Product of -0.143 and 5. -0.715 What is the product of 0 and -773? 0 Calculate 0.3*705. 211.5 Multiply 12 and 13.7. 164.4 1.1*-494 -543.4 -6711 times -4 26844 Calculate 450*0.3. 135 What is -9 times 1.07? -9.63 Calculate -451*0.01. -4.51 Calculate 144.2*-0.3. -43.26 What is the product of 8.2 and -5? -41 Work out -341.58 * -2. 683.16 What is the product of -0.004 and -0.04? 0.00016 Product of 0.3 and -240. -72 Work out 0.4 * 296. 118.4 -0.1305 * -0.3 0.03915 Calculate -0.1*3104. -310.4 36 times 5 180 Work out 2 * -248. -496 Work out -281 * -0.4. 112.4 Work out -310 * -3. 930 What is the product of 43 and 0.4? 17.2 -1 times -23 23 What is the product of -14 and -46? 644 151 * -4 -604 Product of 0.25 and -208. -52 What is 5749 times -3? -17247 What is 0.2 times -57? -11.4 Multiply 183 and 75. 13725 -227 times 136 -30872 What is 1.6 times -8? -12.8 What is the product of -14.3 and -1? 14.3 Product of 182.37 and 0.3. 54.711 What is 0.5 times 1.06? 0.53 Work out -0.269 * 2. -0.538 0.03*-0.023 -0.00069 What is the product of 0.05 and 0.26? 0.013 Calculate 2.6*0.0079. 0.02054 -0.8539 * 0.4 -0.34156 What is 66 times -28? -1848 0.4*-0.259 -0.1036 Multiply 0.009 and -16. -0.144 What is the product of 248 and -0.5? -124 Calculate -14*-16. 224 What is the product of 1 and 0.1239? 0.1239 Work out -3 * -213. 639 1 times -2.19 -2.19 Product of -3988 and 0.2. -797.6 Calculate 28*0.1. 2.8 Product of -2.34 and -0.07. 0.1638 67*24 1608 Work out 0.8 * -453. -362.4 What is the product of 0.07 and 139? 9.73 Multiply -24 and -0.05. 1.2 Calculate -7*-168. 1176 569 * -0.11 -62.59 Product of -54 and 2. -108 -3 * 990 -2970 952 * -4 -3808 Product of -47 and 2.6. -122.2 What is 5 times -4? -20 -0.12 times -0.2 0.024 Calculate 5*11.3. 56.5 -0.489 * -0.1 0.0489 Product of 4 and 167.9. 671.6 -1.7 times -45 76.5 -0.7 times -1.91 1.337 841*-0.2 -168.2 What is -28.78 times 2? -57.56 What is -1.3 times 12? -15.6 What is the product of -0.3 and -0.9? 0.27 What is -0.4 times -0.146? 0.0584 Calculate 322*-37. -11914 Work out 0.097 * -0.1. -0.0097 -59.1 times -11 650.1 Multiply -1 and 127.2. -127.2 What is -0.1 times -57? 5.7 21.7 times -8 -173.6 What is the product of 0.7 and 108? 75.6 0.2 times 14 2.8 What is the product of 241 and 5? 1205 Calculate -4*395. -1580 -0.096*-19 1.824 Calculate -1*-122. 122 -4 * 2.13 -8.52 Calculate -575*1. -575 29.906*-0.4 -11.9624 -0.3*5 -1.5 Work out 0.5 * 0.47. 0.235 2 times 0.1016 0.2032 Work out 1.45 * 0.1. 0.145 Multiply -61.7 and 0.7. -43.19 -1 times 1.93 -1.93 1 times 828 828 What is 3 times 0.029? 0.087 Multiply -3 and 0.004. -0.012 What is the product of -191 and 0.1? -19.1 -42*-172 7224 Calculate -0.3*-3.94. 1.182 What is -44 times -15? 660 Product of 0.68 and -1. -0.68 Work out -3.067 * 0.5. -1.5335 Product of 8 and -319. -2552 Product of -12 and 0.232. -2.784 Multiply -1.59 and -99. 157.41 What is the product of -0.3 and 0.1041? -0.03123 Work out 24 * -39. -936 What is the product of 14448 and 0.1? 1444.8 3 times 0.9 2.7 Product of 1.412 and -0.3. -0.4236 Work out -12.4 * -0.1. 1.24 -0.4 times -1119 447.6 What is the product of 3 and -22.2? -66.6 Product of -1 and -0.0012. 0.0012 38 times 30 1140 -0.7 * 0.25 -0.175 Product of -5 and -87. 435 0.036 times 0.157 0.005652 -1500 * 0.1 -150 Calculate -35*0.01. -0.35 Work out -141 * 0.103. -14.523 Multiply -0.01 and 0. 0 0.054 times -1.4 -0.0756 -8 times -0.023 0.184 Multiply 0.6 and 0.1. 0.06 Product of -2 and 6. -12 What is -75 times 0.26? -19.5 What is the product of 0.06 and 47? 2.82 Work out -0.2502 * 0.3. -0.07506 What is the product of -0.4 and 76.1? -30.44 What is the product of 2 and -0.0322? -0.0644 0.1 times 21 2.1 0.034*-0.09 -0.00306 -1.02 * 0 0 What is -118 times -0.6? 70.8 3*0.031 0.093 -0.013 * -0.1 0.0013 3523 times -1 -3523 4 times 5.48 21.92 Work out 3644 * 0.05. 182.2 0.1 * -0.63 -0.063 0.14421*-5 -0.72105 Product of -135 and 0.25. -33.75 -187*5 -935 Work out -4 * -0.41. 1.64 Product of 0.5 and 0.819. 0.4095 0.5 * 320 160 Multiply -1.11 and 6. -6.66 Multiply -20 and 0.18. -3.6 Product of -2.31 and -5. 11.55 What is 5 times 1.012? 5.06 What is -65 times -128? 8320 Multiply -3.22 and 0.2. -0.644 What is -12 times 4.4? -52.8 Work out 0.1027 * 1. 0.1027 What is the product of -1.289 and 0? 0 8 * 237 1896 Work out 20.9 * 0.4. 8.36 -5 times -51 255 What is 5395 times 0.3? 1618.5 What is -23 times 0.123? -2.829 707*0.3 212.1 Work out -1.97 * -0.34. 0.6698 Calculate -3.937*-1. 3.937 Calculate -0.2*20. -4 Product of -0.9 and -0.157. 0.1413 What is 0.1 times 0.009? 0.0009 Calculate 0.3*186. 55.8 What is the product of -3.3 and -0.004? 0.0132 What is -15 times 0.8? -12 Multiply -137 and 8. -1096 Product of -376 and -0.06. 22.56 17.3*-0.2 -3.46 Calculate 37147*3. 111441 7.4 times -1 -7.4 Work out -47 * -5. 235 -20*-78 1560 -0.1947*-1 0.1947 Product of 3 and -264. -792 -1 * -4.67 4.67 What is -0.2 times -0.809? 0.1618 -5.66 times -5 28.3 -0.3*0.076 -0.0228 Product of 3 and -0.064. -0.192 Product of -35 and -22. 770 -0.386*-3 1.158 Multiply -0.087 and -0.31. 0.02697 What is -7 times -0.36? 2.52 0.087 * -2 -0.174 0.0488 times 2 0.0976 Product of -33 and -73. 2409 Product of 0.1765 and -9. -1.5885 14*-157 -2198 -222*0.3 -66.6 -0.3 times -0.14 0.042 -0.4*-35 14 -267 * 0 0 Product of 0.5 and 0.37. 0.185 Calculate -1*-349. 349 Calculate 8*-18. -144 Work out 23 * 0.3. 6.9 -0.56 * -0.06 0.0336 0.67*-4 -2.68 Calculate 4.1452*-0.3. -1.24356 What is the product of 0.45 and 0.8? 0.36 -38 times 0.5 -19 0.2471 * 0 0 What is the product of -4 and 6.2? -24.8 Product of 132 and 0.01. 1.32 Product of 4 and -525. -2100 What is the product of -0.4 and 420? -168 Multiply -2.2 and -0.017. 0.0374 -375 times -0.3 112.5 -0.4*-267 106.8 0.18*383 68.94 Work out -5 * -542. 2710
{ "pile_set_name": "DM Mathematics" }
a -70 (base 12) to base 11 -77 What is -134 (base 6) in base 15? -3d Convert 3 (base 8) to base 15. 3 Convert 60 (base 8) to base 15. 33 Convert -1b (base 12) to base 3. -212 -45 (base 8) to base 2 -100101 44 (base 8) to base 6 100 20020 (base 3) to base 8 250 What is 1110100 (base 2) in base 7? 224 What is -12 (base 8) in base 6? -14 Convert 11 (base 2) to base 4. 3 What is -1c (base 14) in base 5? -101 What is 22 (base 3) in base 14? 8 Convert 8 (base 10) to base 15. 8 -125 (base 6) to base 7 -104 What is -233 (base 6) in base 4? -1131 What is -3 (base 13) in base 16? -3 Convert 100010 (base 2) to base 10. 34 3 (base 15) to base 2 11 -11011010 (base 2) to base 15 -e8 What is -7 (base 13) in base 16? -7 What is -1110111 (base 2) in base 12? -9b What is -111 (base 5) in base 7? -43 What is 3 (base 8) in base 10? 3 Convert 5 (base 12) to base 10. 5 Convert 1 (base 7) to base 6. 1 Convert 21 (base 5) to base 7. 14 73 (base 9) to base 16 42 44 (base 16) to base 3 2112 -13 (base 15) to base 3 -200 Convert 6 (base 9) to base 13. 6 Convert c (base 15) to base 6. 20 What is 332 (base 4) in base 14? 46 What is 11101010 (base 2) in base 10? 234 -5 (base 15) to base 6 -5 -2 (base 10) to base 8 -2 Convert 20 (base 4) to base 3. 22 10 (base 13) to base 7 16 What is 21 (base 4) in base 10? 9 What is -4 (base 5) in base 13? -4 What is -35 (base 16) in base 7? -104 What is -5 (base 14) in base 16? -5 What is 10 (base 2) in base 16? 2 Convert -101101 (base 2) to base 11. -41 Convert 0 (base 8) to base 13. 0 -5 (base 11) to base 4 -11 3 (base 6) to base 10 3 -19 (base 11) to base 13 -17 Convert 65 (base 8) to base 7. 104 Convert -4 (base 15) to base 6. -4 -13 (base 16) to base 3 -201 What is -232 (base 5) in base 15? -47 Convert -2d (base 14) to base 9. -45 What is -5 (base 13) in base 16? -5 -83 (base 13) to base 14 -79 Convert 129 (base 10) to base 13. 9c What is c8 (base 16) in base 4? 3020 What is -c (base 16) in base 2? -1100 What is -14 (base 13) in base 2? -10001 Convert -2 (base 8) to base 13. -2 296 (base 11) to base 2 101011011 Convert -1 (base 14) to base 8. -1 What is 10 (base 2) in base 11? 2 Convert -4 (base 8) to base 10. -4 What is -3 (base 7) in base 16? -3 Convert 242 (base 8) to base 9. 200 What is 11000110 (base 2) in base 14? 102 3303 (base 4) to base 14 135 18 (base 10) to base 7 24 What is 1 (base 11) in base 5? 1 What is -2 (base 7) in base 11? -2 15 (base 13) to base 8 22 2a (base 11) to base 6 52 What is 24 (base 14) in base 15? 22 Convert -32 (base 6) to base 16. -14 Convert 1 (base 7) to base 15. 1 Convert -1 (base 10) to base 12. -1 What is -117 (base 8) in base 15? -54 84 (base 15) to base 13 97 What is 141 (base 10) in base 5? 1031 -23 (base 5) to base 9 -14 -1001 (base 2) to base 5 -14 What is 112 (base 8) in base 11? 68 What is 10 (base 10) in base 7? 13 What is 141 (base 8) in base 6? 241 Convert -1110 (base 2) to base 3. -112 What is 8 (base 12) in base 16? 8 What is 13 (base 5) in base 10? 8 Convert -81 (base 11) to base 5. -324 What is -2 (base 4) in base 12? -2 10 (base 5) to base 7 5 5 (base 12) to base 13 5 Convert -25 (base 6) to base 5. -32 -1111 (base 2) to base 15 -10 4 (base 5) to base 13 4 70 (base 13) to base 3 10101 Convert -2 (base 5) to base 9. -2 Convert -7 (base 13) to base 11. -7 Convert 232 (base 6) to base 11. 84 Convert 1 (base 8) to base 3. 1 What is 42 (base 5) in base 14? 18 What is -8 (base 15) in base 4? -20 Convert 2 (base 11) to base 13. 2 Convert 27 (base 10) to base 6. 43 5 (base 13) to base 2 101 1a (base 11) to base 10 21 -211 (base 5) to base 14 -40 Convert -111 (base 15) to base 6. -1041 -18 (base 14) to base 9 -24 Convert 18 (base 14) to base 5. 42 Convert 1 (base 5) to base 6. 1 What is 11 (base 9) in base 5? 20 Convert -52 (base 15) to base 13. -5c Convert 6 (base 15) to base 13. 6 What is 1 (base 5) in base 12? 1 18 (base 12) to base 16 14 Convert 40 (base 6) to base 14. 1a 0 (base 13) to base 10 0 What is -66 (base 10) in base 13? -51 What is 2 (base 9) in base 3? 2 What is -56 (base 13) in base 5? -241 What is -1000 (base 2) in base 9? -8 What is 3 (base 5) in base 13? 3 Convert 283 (base 9) to base 4. 3231 0 (base 16) to base 11 0 What is 2130 (base 4) in base 13? c0 89 (base 16) to base 8 211 What is -41 (base 5) in base 3? -210 -15 (base 9) to base 4 -32 What is -2 (base 11) in base 12? -2 What is -2 (base 7) in base 12? -2 Convert -154 (base 7) to base 3. -10021 What is 11 (base 16) in base 14? 13 25 (base 10) to base 13 1c -7 (base 15) to base 5 -12 Convert -26 (base 14) to base 9. -37 What is -26 (base 16) in base 5? -123 Convert -8e (base 15) to base 7. -251 Convert -50 (base 10) to base 14. -38 What is 6b (base 12) in base 11? 76 What is 101000 (base 2) in base 15? 2a 10021 (base 3) to base 2 1011000 What is -1001 (base 2) in base 9? -10 -66 (base 13) to base 9 -103 -26 (base 9) to base 8 -30 What is -101101000 (base 2) in base 11? -2a8 Convert 10 (base 9) to base 15. 9 -40 (base 10) to base 8 -50 31 (base 4) to base 6 21 2 (base 5) to base 16 2 -5f (base 16) to base 14 -6b What is 0 (base 11) in base 6? 0 What is 302 (base 4) in base 16? 32 -100001 (base 2) to base 11 -30 What is -46 (base 16) in base 7? -130 Convert 13 (base 10) to base 11. 12 What is -5 (base 13) in base 14? -5 What is -66 (base 8) in base 16? -36 -215 (base 6) to base 2 -1010011 6 (base 10) to base 13 6 510 (base 6) to base 3 20220 Convert 3 (base 6) to base 11. 3 -3 (base 6) to base 10 -3 Convert -10 (base 12) to base 14. -c Convert -221 (base 10) to base 9. -265 What is 6 (base 15) in base 13? 6 What is -1 (base 16) in base 15? -1 Convert -322 (base 6) to base 16. -7a -122 (base 4) to base 6 -42 What is -64 (base 11) in base 6? -154 What is 0 (base 5) in base 13? 0 Convert 13 (base 10) to base 6. 21 Convert 7 (base 12) to base 15. 7 Convert 0 (base 3) to base 7. 0 112 (base 7) to base 14 42 Convert 0 (base 13) to base 6. 0 22 (base 6) to base 10 14 1 (base 4) to base 9 1 -7 (base 10) to base 9 -7 Convert -1 (base 13) to base 6. -1 -3 (base 4) to base 3 -10 Convert -149 (base 10) to base 15. -9e -10 (base 8) to base 14 -8 What is -450 (base 7) in base 3? -22120 What is 2 (base 10) in base 13? 2 Convert -5 (base 7) to base 15. -5 What is 100001 (base 2) in base 4? 201 What is -11113 (base 4) in base 5? -2333 Convert 11111 (base 2) to base 3. 1011 Convert -2 (base 10) to base 16. -2 What is -11000 (base 2) in base 6? -40 Convert -1a3 (base 11) to base 8. -352 4 (base 6) to base 12 4 Convert -11 (base 12) to base 6. -21 2 (base 16) to base 14 2 2031 (base 4) to base 12 b9 121 (base 3) to base 11 15 What is -e (base 15) in base 11? -13 6 (base 13) to base 3 20 What is 2 (base 7) in base 9? 2 Convert -21 (base 3) to base 6. -11 Convert 1 (base 16) to base 2. 1 What is 11 (base 6) in base 14? 7 Convert 2 (base 15) to base 7. 2 What is -201 (base 14) in base 11? -328 6 (base 9) to base 13 6 -2 (base 12) to base 6 -2 38 (base 16) to base 8 70 What is -1 (base 15) in base 10? -1 What is 0 (base 16) in base 11? 0 What is 17 (base 9) in base 6? 24 What is -3 (base 13) in base 8? -3 -99 (base 11) to base 3 -11000 What is 246 (base 9) in base 16? cc Convert -9 (base 14) to base 13. -9 Convert -12 (base 5) to base 16. -7 Convert -101 (base 2) to base 13. -5 Convert 1300 (base 4) to base 9. 134 Convert -56 (base 11) to base 8. -75 What is -13 (base 8) in base 14? -b 2 (base 6) to base 12 2 -1 (base 14) to base 5 -1 What is 3 (base 13) in base 5? 3 What is -3 (base 4) in base 10? -3 Convert -1 (base 10) to base 13. -1 Convert -10 (base 5) to base 6. -5 Convert 100011 (base 2) to base 3. 1022 Convert -7a (base 15) to base 4. -1303 Convert 22 (base 11) to base 3. 220 What is 16 (base 13) in base 2? 10011 Convert 2 (base 13) to base 6. 2 -2 (base 3) to base 4 -2 Convert 46 (base 12) to base 13. 42 Convert 210 (base 3) to base 2. 10101 What is 2 (base 15) in base 7? 2 -27 (base 11) to base 14 -21 41 (base 6) to base 7 34 What is 43 (base 15) in base 7? 120 Convert d1 (base 15) to base 4. 3010 Convert 102 (base 3) to base 4. 23 What is -27 (base 15) in base 13? -2b What is 6 (base 16) in base 6? 10 Convert 43 (base 5) to base 6. 35 Convert -39 (base 11) to base 7. -60 What is 3 (base 16) in base 14? 3 What is 1 (base 4) in
{ "pile_set_name": "DM Mathematics" }
v to 1 dp. 0.4 Suppose -4*k = -3*k + 1. Let q = k + 0. Let n = q + 19. Round n to the nearest 10. 20 Let n = 25.6 - -8.4. Let q = n + -27.6. What is q rounded to the nearest integer? 6 Let m = -5.05428011 + -18.94572077. Let f = -24.11 - -0.11. Let o = f - m. Round o to 7 decimal places. 0.0000009 Let w = -5.5 + 37.5. Let d = 31.9942 - w. What is d rounded to three decimal places? -0.006 Let x = -117 - -117.00255. What is x rounded to 4 dps? 0.0026 Let r = 7 - 6. Let d be r/(-2) + (-18)/(-4). Round d to the nearest 10. 0 Let y = 87.8 - 96.62. Round y to 0 decimal places. -9 Let k = 23644475884.99999869 + -23644475705. Let v = 18 - -162. Let h = v - k. Round h to seven dps. 0.0000013 Let i = -6 - -9. Let x = -11 + i. Let y = x + 12. What is y rounded to the nearest integer? 4 Let d be 2 + (-4)/6*-1557. Round d to the nearest one hundred. 1000 Suppose 5358715 = 4*d - 5*z, 2*d - 7*d = 4*z - 6698404. Suppose -4*m = d + 1540320. What is m rounded to the nearest one hundred thousand? -700000 Let h be 61007*33/(-6)*-2. Let a = h - 251469. Let q = 689608 - a. Round q to the nearest one hundred thousand. 300000 Let o be ((-1500)/14)/(4/33600). What is o rounded to the nearest one million? -1000000 Let d = 15 - 21. Let q = -6.4 - d. Let r = q + 0.3999991. Round r to six dps. -0.000001 Let h = 0.8 + -7.8. Let r = 5.4 + h. Let t = 1.60045 + r. Round t to four decimal places. 0.0005 Let y = 9 - 7. Suppose c - 2*n + 3*n = 6, 0 = y*c + 4*n - 20. Suppose 2*u + 1851 = 5*u + 3*j, c*u - 1252 = 4*j. Round u to the nearest 100. 600 Let w = 0.0494 + -0.3284. Round w to 2 decimal places. -0.28 Suppose -3*z - 2*l = 1856, -2*z = -0*l - 3*l + 1246. What is z rounded to the nearest 100? -600 Suppose 0 = 3*d + 3 + 3. Let b be ((-1)/2)/(d/(-60)). Round b to 0 dps. -15 Let b = -43.2 + 37. Round b to the nearest integer. -6 Let i be 1/((-4)/(-20)) + -2. Suppose i*j - 1739 = 2911. What is j rounded to the nearest one hundred? 1600 Let n = -0.17883 + -30.83827. Let v = 1.0889 - n. Let a = -32 + v. What is a rounded to 2 decimal places? 0.11 Let o = -1.2 + -0.8. Let q = o + 1.9944. Round q to 3 dps. -0.006 Suppose -3*l = -g + 1 + 13, l + 2 = -g. Suppose -11259 = -g*b - b. Let q = b + -6653. What is q rounded to the nearest 1000? -3000 Let u(c) = -62992*c - 8. Let m(w) = -62993*w - 7. Let j(p) = 7*m(p) - 6*u(p). Let i be j(1). Round i to the nearest 10000. -60000 Let n = 728.33 + -724. What is n rounded to 1 decimal place? 4.3 Let h = 52.5 + -105.6. Let n = h - -51. Let o = n - -2.099932. What is o rounded to five decimal places? -0.00007 Suppose -30840 = r - 300840. Round r to the nearest 100000. 300000 Suppose -5*t + 5*m = 785, t - 3*m = m - 163. Let c(p) = 2*p**3 - 3*p**2 + 2*p - 3. Let z be c(4). Let g = z + t. What is g rounded to the nearest one hundred? -100 Let j = -14372863.6399937 + 14372863. Let h = 0.64 + j. What is h rounded to six decimal places? 0.000006 Let m = -57 + 87. Let s = 6.74711418 + -36.74711513. Let k = m + s. Round k to 7 dps. -0.000001 Suppose d - 9810 - 7189 = b, -2*d - 2*b = -34002. Round d to the nearest ten thousand. 20000 Suppose 13*p - 2736 - 930 = 0. What is p rounded to the nearest 100? 300 Let l = -61.2 + 135. Let z = 117 + -51. Let a = z - l. What is a rounded to the nearest integer? -8 Let b = -0.0298456 - 0.01015416. Let s = 0.04 + b. Round s to seven decimal places. 0.0000002 Let o = -566.567 + 566.6170003. Let h = -0.05 + o. What is h rounded to 7 decimal places? 0.0000003 Suppose 0 = n + n - 960. Let x be (-250)/(-2)*n/(-1). What is x rounded to the nearest ten thousand? -60000 Let u = 0.038 - 0.03873. Round u to four dps. -0.0007 Let m(b) = -2942*b - 2. Suppose -4*p - 20 = 2*a, -p + 2*a + 2 = -3. Let g be m(p). Let t = g + -15324. Round t to the nearest 1000. -7000 Let z = 93 - -20. Round z to the nearest ten. 110 Let z = -2579.0207 - -2598.73. Let f = z + -19.7. Round f to 3 decimal places. 0.009 Suppose -3 = 3*q - 12. Suppose -2*k - 735 = -8*l + q*l, 5*k + 1915 = -3*l. What is k rounded to the nearest one hundred? -400 Let a = 1076816.99885 + -1076776. Let n = -77 + 118. Let l = n - a. Round l to four decimal places. 0.0012 Let o = -2.4000006 + 2.4. Round o to 7 decimal places. -0.0000006 Let o = -83098 + 83086.7873. Let c = o + 8.756. Let w = -2.47 - c. What is w rounded to 3 decimal places? -0.013 Let z = 0.8 - -0.75. Let g = 0.23 + z. What is g rounded to 1 dp? 1.8 Let j = -1074.4 + 835. Let s = 211 + j. Let y = s + 23. Round y to the nearest integer. -5 Let l = -80781 + 118618. Let w = -37850.0052 + l. Let p = 13 + w. What is p rounded to three dps? -0.005 Let i = 77.31 + -77. Round i to one decimal place. 0.3 Let x = -107 + 107.089. Let t = x - 0.17. Round t to two decimal places. -0.08 Suppose 0 = y - 5*x - 390015, 0*x + 2*x = -4*y + 1559994. Round y to the nearest 100000. 400000 Let x = -0.42 - -0.4223. Round x to 4 dps. 0.0023 Let q(z) = 10*z**3 + 15*z + 9. Let i be q(12). Let p = i - 10769. What is p rounded to the nearest 1000? 7000 Let g = 62.2 + -89.76. Let b = 28 + g. Round b to one dp. 0.4 Let m = 5.4 - 5.399873. Round m to five decimal places. 0.00013 Suppose 2 = -3*l - 1. Let k be (-3)/(1/(l + -17)). Let t = k - -16. Round t to the nearest 100. 100 Let b = -1256.561 - -1255. Let i = -0.01 + -1.49. Let v = i - b. Round v to two dps. 0.06 Let d = 3.2 - 1.5. Let w = d - 2. Let x = w + 0.3002. What is x rounded to 4 decimal places? 0.0002 Let q(j) = -120*j**2 + 2. Let a be q(-5). Let p be (a - (-2 + 4))*8. Round p to the nearest 10000. -20000 Let i = 0.17 + -0.17112. What is i rounded to 4 decimal places? -0.0011 Let u = 0.815 - 0.085. Let w = 1.973 + -0.023. Let r = w - u. Round r to 1 dp. 1.2 Suppose 0 = 3*j + 3*y, -3*j + 4 = y + 4*y. Let r be j/6 - 506/(-6). Round r to the nearest 10. 80 Let o = 16.1 + -2.1. Let q = o + -7. Let v = 7.018 - q. What is v rounded to two decimal places? 0.02 Let d = -1.1 - 1.9. Let m = -8 - d. Let n = m - -5.004. What is n rounded to 2 dps? 0 Let f(z) = z + 9. Let r be f(-7). Suppose -5*d - 6540354 - 4259621 = -4*s, -10800010 = -4*s - r*d. Round s to the nearest 1000000. 3000000 Let v = -46 + -4. Let d = v - -128. Let o = 78.00000071 - d. What is o rounded to 7 dps? 0.0000007 Suppose -2*l + 660003 = -5*j, 4*l + 2*j - 467478 - 852540 = 0. Suppose t + 0*t - 65998 = -s, 5*s - l = 2*t. What is s rounded to the nearest 10000? 70000 Let y = 130 - 129.99999904. Round y to 7 decimal places. 0.000001 Let y be 32500/(((-25)/220)/(-5)). Round y to the nearest one hundred thousand. 1400000 Suppose -4*z + 3*z = 3800. Round z to the nearest one thousand. -4000 Let p = 87.7 - 96. Round p to the nearest integer. -8 Let r = 70.4 - 89. Let y = 24 + r. What is y rounded to the nearest integer? 5 Suppose -24838 = -3*v - 7138. What is v rounded to the nearest one thousand? 6000 Suppose 0 = 2*p - 0*p + 28. Let y = 7 + p. Let g = 15 + y. Round g to the nearest ten. 10 Let o = -73 - -73.000000058. What is o rounded to 7 dps? 0.0000001 Let g = 43 + -89. Let t = -22 - g. Let c = 24.00055 - t. Round c to 4 decimal places. 0.0006 Let o = 13 - 13.9. Let r = o + 0.8953. Round r to 3 decimal places. -0.005 Let u = -0.0327 + 0.0326731. What is u rounded to five dps? -0.00003 Let l = -0.252 + 0.251999335. Round l to seven dps. -0.0000007 Let m = -449 - -449.00601. What is m rounded to four dps? 0.006 Let p = 0.016 - 0.04. Let c = 0 - p. Let i = 0.03 - c. Round i to 2 dps. 0.01 Let y = 0.37 + -0.401. Round y to 3 decimal places. -0.031 Let r = 4.8 - -0.2. Let j = 4 - r. Let a = 0.99999974 + j. What is a rounded to seven decimal places? -0.0000003 Let v = 51.5 - 54. What is v rounded to 1 dp? -2.5 Let h = -268.65318 - -271.351. Let j = -2.7 + h. Round j to four dps. -0.0022 Let b = 45 - -39. Let z = 72.9 - b. Let f = z + -0.1. What is f rounded to the nearest integer? -11 Let m(d) = -2*d + 7. Let q be m(6). Let w be q - (2*-1)/(-2). Let s be 100/w*(37 + -1). Round s to the nearest one thousand. -1000 Let z = 3.65 + -3.65000247. Round z to seven dps. -0.0000025 Let z(i) = -11*i - 1. Let f be z(1). Let o be (6/9)/((-2)/f). Let u be 95982/(-12) - 6/o. What is u rounded to the nearest 1000? -8000 Let c = 3712 - 3664.42. Let x = c - 48. What is x rounded to 1 decimal place? -0.4 Let u(m) = m - 1. Let i be u(4). Let n = 0 +
{ "pile_set_name": "DM Mathematics" }
0)*4)**2. 5*sqrt(2)/2 + 4085/2 Simplify -4*(0 + sqrt(243) + 0 + -3 + sqrt(3) + -2*(sqrt(12) - (sqrt(300) - sqrt(12))*-2))**2 + 4. -8144 - 624*sqrt(3) Simplify (((sqrt(432) - (sqrt(432) + sqrt(432)*1))/(6*-1*sqrt(6)))/((sqrt(112)/(sqrt(21)/sqrt(3)))/(sqrt(16)*3 + sqrt(4))))**2. 49/2 Simplify sqrt(304) + (-1*sqrt(304) + 0)**2 + 2 + -3 + -6*(1 + 2 + (sqrt(304) - (-2 + sqrt(304)))) + -2. 4*sqrt(19) + 271 Simplify (sqrt(68) - (-1*sqrt(68) - sqrt(68))*-2 - (sqrt(68) + (sqrt(68) - 3*-3*sqrt(68))))/(-6*(sqrt(4) + 2*sqrt(4)*2)). 7*sqrt(17)/15 Simplify (-3*(sqrt(325) + -4*sqrt(325))*-5 + -5*(-2*(sqrt(325) + 0 - sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325) + sqrt(325)))**2 + 3. 1592503 Simplify (sqrt(44)/sqrt(64) - -2*(sqrt(66)/sqrt(6))**2) + -4 + -6*sqrt(44)/(sqrt(1200)/sqrt(12)). -19*sqrt(11)/20 + 18 Simplify -4*((sqrt(7260) - 2*sqrt(7260))*1 - sqrt(7260))/((sqrt(192) - sqrt(192)*-2) + sqrt(120)/sqrt(40)). 176*sqrt(5)/25 Simplify (-1*(-3 + sqrt(1100) + 1 + 4 + sqrt(1100)))**2 - 1*(1 + sqrt(44)/sqrt(4) - ((-3*sqrt(132))/sqrt(12))**2). 79*sqrt(11) + 4502 Simplify (0 + sqrt(11) + 2 - sqrt(33)/(sqrt(3) + sqrt(12)/sqrt(4)))*-2 + ((2 + sqrt(176)*-1)**2 - ((sqrt(176) + 0)**2 - sqrt(176))*-3). -29*sqrt(11) + 704 Simplify (sqrt(80) + 1*sqrt(80) + sqrt(5) + sqrt(5) - (sqrt(100)/sqrt(4))/sqrt(5))**2 - ((sqrt(180) - (sqrt(180) + -1))**2 - (sqrt(5) + 1 + -5))*-5. -5*sqrt(5) + 430 Simplify ((sqrt(6) + sqrt(108)/sqrt(2))/(2*(sqrt(2) + sqrt(32))) + (sqrt(6) - (sqrt(600) + -2*sqrt(600) + sqrt(600)))/(3*(sqrt(2) - (sqrt(8) + sqrt(2)))))**2. 49/300 Simplify 4*(-4 + (-2*sqrt(405) - (0 + sqrt(5))*-2) + -2 + (1*(1 + sqrt(5)) - (-1 + sqrt(180))**2))*1. -744 - 12*sqrt(5) Simplify (-6*(sqrt(252) + -2) + 0 - (((sqrt(70)*4)/sqrt(10) + 0)*-6)**2) + -2. -4022 - 36*sqrt(7) Simplify (-1*(sqrt(77) - (sqrt(77) - 1*sqrt(77))*2))/(sqrt(70)/(sqrt(10) - (sqrt(110) - ((sqrt(110) - sqrt(110)*3) + sqrt(110)))/sqrt(11) - sqrt(10))). 2*sqrt(11) Simplify 5*((sqrt(171) + -2*sqrt(171))/sqrt(9) - (sqrt(19) - (sqrt(19) - -1*sqrt(475)))**2) - ((-2*sqrt(95)*4)/(-6*sqrt(5)*-1) + -3). -2372 - 11*sqrt(19)/3 Simplify (6*-2*(2 + (sqrt(2299) - (sqrt(2299) + 0)) + 0 + sqrt(2299) + -1 + 4)*1)**2 + -4. 15840*sqrt(19) + 334652 Simplify (sqrt(209) + (sqrt(209) - (sqrt(209) + (sqrt(209) - 4*sqrt(209))))*4)/sqrt(11) + ((sqrt(684) - (-4*sqrt(684) - sqrt(684)))*2)**2 + 0. 13*sqrt(19) + 98496 Simplify (2 + (-4*((-1 + sqrt(363))*-5 + 5))**2 + -1 + 3)*-2. -293608 + 35200*sqrt(3) Simplify (-4*-4*((-4 + sqrt(1584) - sqrt(1584))*-4 + (sqrt(1584) - (-3 + sqrt(1584) + -4)) + 4 + 1))**2. 200704 Simplify (-4*(1*sqrt(252)*2 + sqrt(252) + sqrt(252)))/(-1*-3*sqrt(400)*4). -2*sqrt(7)/5 Simplify (((sqrt(84) - sqrt(84)*1)*-1)/sqrt(7) + 3*sqrt(216)/sqrt(8) + 5)*-1. -9*sqrt(3) - 5 Simplify (-4 + (-5 + -4 + sqrt(605) + sqrt(605) + 0 - (-2 + (sqrt(605) + sqrt(605) + sqrt(605) + -1*sqrt(605) + sqrt(605))*6))**2)*-6. -929550 - 14784*sqrt(5) Simplify (sqrt(684) + ((sqrt(684)*-3 - sqrt(684)) + 4 + sqrt(684) + sqrt(684))**2 + sqrt(684) - (3 + sqrt(684) + -1)) + -3 + sqrt(684) + 1 + -4 + 0. -84*sqrt(19) + 2744 Simplify 2 + (5 + (0 + sqrt(567) + -1 + (sqrt(567) + sqrt(567) + sqrt(567) + -1)*-1 - ((sqrt(567)*2 - sqrt(567))*-5 - (-3 + sqrt(567)*-1))))**2. 72*sqrt(7) + 2274 Simplify (((((sqrt(140) - sqrt(140)*2) + sqrt(140))*6 - sqrt(140))/sqrt(7) - (1*sqrt(720))/(1*-2*sqrt(4)))*1)**2. 5 Simplify 5 + ((5*2*(sqrt(1280) - sqrt(20)))/(2*sqrt(40)/sqrt(4)*-1))**2. 2455 Simplify -6*((sqrt(605)*2)**2*6 + 2 + -3)*-2*2. 348456 Simplify (sqrt(5000)*4)/(sqrt(70)/sqrt(7)*2)*2*3. 120*sqrt(5) Simplify (-1*(sqrt(605) + -4) - (-3*(sqrt(605) + -4))**2) + 4 + (sqrt(605) + 0 + sqrt(605) + 0)*-1. -5581 + 759*sqrt(5) Simplify (4*(sqrt(484) + 2*(sqrt(484) + (sqrt(484) - (1*sqrt(484) - sqrt(484))) + sqrt(484))))/(sqrt(1584) + sqrt(1584) + (sqrt(1584) - 4*1*sqrt(1584)))*6. -28*sqrt(11) Simplify ((sqrt(6) - sqrt(18)/(-1*sqrt(3)))/(sqrt(288)*-2))**2 - (sqrt(27)/(sqrt(18)/sqrt(2)) - sqrt(75)*-4). -21*sqrt(3) + 1/48 Simplify (5*5*sqrt(104) + sqrt(104)*1*6)/(sqrt(128)*-2*-2 + sqrt(128) + sqrt(128)*-1*-5). 31*sqrt(13)/40 Simplify ((-2 + sqrt(72)/sqrt(6)*5)**2 - (sqrt(2904) - (sqrt(2904)*2 - sqrt(2904)))/((-1*sqrt(80))/sqrt(10))) + -5. -40*sqrt(3) + 299 Simplify ((6*sqrt(130)*-2 - sqrt(130)*-2*1)/((sqrt(60)/sqrt(6)*6 - sqrt(10)) + sqrt(90)*1 + sqrt(90))*5)**2. 32500/121 Simplify ((-5*(sqrt(133) + sqrt(133)*3 + sqrt(133))*3)/(-2*(sqrt(847) - sqrt(847)*2))*-2)**2 + -4. 106391/121 Simplify (-3 + -3*sqrt(22)/sqrt(2)*-3*-2)**2*2*-4 + -4. -28588 - 864*sqrt(11) Simplify -1 + ((sqrt(275)/sqrt(5))/sqrt(11) + sqrt(10)/sqrt(2)*4)**2 + (6*sqrt(20) + -5)*6. 94 + 72*sqrt(5) Simplify ((1*sqrt(300) + -5 + (sqrt(300) + 2 - sqrt(300)) + 2)*-2)**2*-2. -2408 + 160*sqrt(3) Simplify (-5*3*(sqrt(800) + 2*sqrt(800)))/(-2*4*sqrt(64)*1). 225*sqrt(2)/16 Simplify (-4*(5*(sqrt(1331)*-2 + sqrt(1331)) - (sqrt(1331) - (-1*sqrt(1331) + 2))) + -1 + -3)**2. -7392*sqrt(11) + 1043648 Simplify ((1 + sqrt(68)/sqrt(64)*4)*5 - (-3 + (1*sqrt(2057) - sqrt(2057)) - 4*(sqrt(17) + -1)*-6))**2. -1216*sqrt(17) + 7161 Simplify (0 + sqrt(228)/((sqrt(60)/(sqrt(125) + sqrt(5)) - sqrt(12)) + sqrt(12)) - ((1*sqrt(38)/sqrt(2) - (sqrt(304) + 2)) + 1))**2. 18*sqrt(19) + 1540 Simplify (-5*3*sqrt(132) + 4*sqrt(132)*-2)/((sqrt(108) - (sqrt(108) - 2*sqrt(108)*4 - sqrt(108))) + sqrt(108) - (sqrt(108) - sqrt(108)*2)*-2). -23*sqrt(11)/24 Simplify 3*(sqrt(245) + (1*sqrt(245))**2) - (sqrt(245)*2 + -1 + sqrt(245))**2 - 4*(3 + (sqrt(135)/sqrt(3) + -2 + sqrt(5) + 0)**2). -1819 + 127*sqrt(5) Simplify 0 + (sqrt(700) + -1 + 2 + 1 - (sqrt(700) + -5*(sqrt(700) + (sqrt(700) - -2*sqrt(700)))**2 + (sqrt(700) + -2 + -3)**2)). 100*sqrt(7) + 55277 Simplify 2*(-4 + (-2*(sqrt(2) + -4*sqrt(2))*-5 - sqrt(12)/((sqrt(12)*2)/sqrt(2)))). -61*sqrt(2) - 8 Simplify -5 + -4*(sqrt(153) + sqrt(153) + (-5 + -2*sqrt(153))**2) + 5 + -4*(sqrt(153) + -1) + (1 + sqrt(153))*3 + -1. -2542 - 267*sqrt(17) Simplify (((-3*(1*sqrt(180) - sqrt(180)))/(6*sqrt(12)*-1))/(-4*(sqrt(192)*5 - sqrt(192))*-3))**2. 0 Simplify -6*((-4 + (sqrt(175) + sqrt(175)*2)*6 + (-1 + 3*sqrt(175) - sqrt(175)))*-3)**2*1. -3781350 + 54000*sqrt(7) Simplify (2*(sqrt(288)*1)**2 + (3*-2*sqrt(288))**2 - (1 + 5 + 1 + sqrt(288)))*-1. -10937 + 12*sqrt(2) Simplify ((sqrt(209)*2*2 + sqrt(209) + (sqrt(209) - -2*sqrt(209)*-3))*-6)/(sqrt(539)*4 + sqrt(88)/(-4*sqrt(8))). 0 Simplify ((-4 + (sqrt(1300) + sqrt(1300)*-5)*2 + 2 + sqrt(1300)*-6)*6 + -3)**2. 25200*sqrt(13) + 9173025 Simplify (-3*sqrt(1701) + sqrt(21))/(1*sqrt(3)*3 + sqrt(3)) + sqrt(847)*-2*-6 + (4 + sqrt(847) + (sqrt(847) + 1 - sqrt(847)))**2 + 1. 471*sqrt(7)/2 + 873 Simplify ((sqrt(34)/sqrt(2) + -1 - (-3 + sqrt(272)) - (3 + (sqrt(425) + -3 + sqrt(425))**2)) + 1)*1. -1709 + 57*sqrt(17) Simplify (-3 + 6*(sqrt(325)*5 - sqrt(325)) + (-2 + 4*sqrt(325) - sqrt(325)) + sqrt(325))**2*2. -2800*sqrt(13) + 509650 Simplify 1 + 2 + sqrt(425)*-3 + 0 + ((sqrt(1700) - ((sqrt(1700) - sqrt(1700)*2) + sqrt(1700))) + -1 + -4)**2. -115*sqrt(17) + 1728 Simplify ((sqrt(408) - 5*(sqrt(408) - -1*sqrt(408)))/((1*sqrt(108))/sqrt(9)))/((sqrt(192)/(1*sqrt(12)))/(sqrt(72)*3)). -81*sqrt(17) Simplify (sqrt(1188)*1)/(sqrt(6)/(sqrt(4)/sqrt(2))) + 3 + (sqrt(88) - (5*2*sqrt(88) + sqrt(88)))/(sqrt(16)/sqrt(98)). -64*sqrt(11) + 3 Simplify -5*5*(((1*sqrt(150)*-3 + sqrt(150))/sqrt(10))/(sqrt(300) + (sqrt(300)*-1 - sqrt(300))*4) + -2)**2. -4905/49 + 20*sqrt(5)/7 Simplify ((-4*-2*(sqrt(204) + (sqrt(204) + (sqrt(204)*1 - sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204))*6))/(3*-4*(sqrt(48)*2)/sqrt(4)) + -4)**2. 8*sqrt(17)/3 + 161/9 Simplify (-1 + sqrt(5)*2*-2*5)**2 + (sqrt(3840) + sqrt(3840)*-2)/(sqrt(108)/(sqrt(9)*1)) + 0. 32*sqrt(5) + 2001 Simplify ((sqrt(1573) + 6*(1 + sqrt(1573)) + sqrt(1573) - (2 + sqrt(1573) - sqrt(1573))*1) + (sqrt(1573) - (sqrt(1573)*-4 + 3)) + 2 + -3 + -1)**2. -286*sqrt(13) + 265838 Simplify -3 + ((sqrt(425)*1 + sqrt(425))*4 - (2 + sqrt(425) + -5)**2 - (-2 + (sqrt(425)*2 + sqrt(425) + -2 - sqrt(425)) + 2)**2). -2141 + 110*sqrt(17) Simplify sqrt(112) + 2 + (sqrt(112) - (0 + sqrt(112)))**2 + sqrt(112) - (0 + sqrt(112) + 0 - sqrt(112)) - (sqrt(112) + -1 + -1 - 5*(sqrt(112) + 2))**2*4. -7742 - 1528*sqrt(7) Simplify (-4*-1*(sqrt(1176)*1 + sqrt(1176)))/((sqrt(3888)*2 - sqrt(38
{ "pile_set_name": "DM Mathematics" }
o(l) - k(l). What is r(4)? 0 Let q = 90 - 88. Let w(l) be the second derivative of -1/3*l**3 - 1/12*l**4 + 9*l + 3/2*l**q + 0. What is w(-3)? 0 Let n = 2 + 1. Let g(c) = -c**2 - c**2 + 3 + 3*c**2 - n*c - 6*c. Give g(9). 3 Let h = -79 + 76. Let j(w) = -5*w**3 + 10*w**2 + 11*w + 3. Let y(t) = -9*t**3 + 19*t**2 + 21*t + 6. Let f(x) = 11*j(x) - 6*y(x). Determine f(h). 3 Let x(m) = m. Let o(l) = -l**2 + 11*l - 3. Let n(d) = -o(d) + 6*x(d). Suppose 0 = 2*z + 3*c - 42, -c = -3*z + 9 + 32. Suppose -2*j - j + z = 0. Give n(j). 3 Let s(k) = -2*k**3 + k**2 - k - 1. Let u(g) = 3*g**3 + g**2 + 3*g + 2. Let p(d) = -s(d) - u(d). What is p(-1)? 0 Suppose 0*x = -x + 4*y + 7, -4*x = 4*y - 8. Let m(h) = -3*h + 16. Let o(n) = n - 5. Let k(z) = -m(z) - 4*o(z). What is k(x)? 1 Let d(v) be the second derivative of -v**3/6 + 5*v**2/2 - v. Let b = 53 - 47. What is d(b)? -1 Let q = 17 - 17. Let l be 0/(2 + -3 + q) - 0. Let w(v) = -10 + 4*v**2 + v - 2*v - v**2 - 4*v**2. Give w(l). -10 Let m be (54/36)/(2/(-4)). Let q(w) = -w**2 - 2*w - 2. What is q(m)? -5 Let c(j) be the first derivative of j**6/180 - j**5/60 - 11*j**3/3 + 5. Let a(h) be the third derivative of c(h). Give a(2). 4 Let q be 2/((-16)/(-3)) + (-2877)/(-1096). Let h(x) = -x**3 + 4*x**2 - 2*x + 3. What is h(q)? 6 Suppose 9*x = 12*x + 189. Let b = 64 + x. Let s(z) = -2*z**3 - z**2 - z + 2. Let i(w) = w**3 + w**2 + 2*w - 3. Let g(c) = -2*i(c) - 3*s(c). Calculate g(b). 4 Let a(v) = -2*v - 25. Let m be a(-17). Let n(p) = -12*p + 34*p - 12*p - m*p. Calculate n(6). 6 Let h be (-1 - (1 + -5 - -4))*-2. Let t(a) = h*a**3 + 3*a**2 + 3*a - 2*a - 2*a**2 + 2*a**2. Suppose j + 0*j - 4*i - 18 = 0, -4*j = -4*i - 12. Determine t(j). -6 Let l be (-1 - -1)*(2 + -3). Let r(p) = -p**3 + 22*p**2 + 2*p - 21. Let y be r(22). Let c(h) = -y - 2*h + h - h**2 + 20. What is c(l)? -3 Suppose 0 = -s - 2*s + 5*j - 2, -s + 2 = j. Let t be ((-2)/(-4))/(s/6). Suppose -2 = -t*x - 23. Let v(g) = g**3 + 6*g**2 - 7*g + 8. Give v(x). 8 Let n be -2*(-3)/(-36) - (-8)/6. Let k(c) be the third derivative of 0 + 0*c + 1/6*c**4 - 7/60*c**5 + 6*c**2 + 1/120*c**6 + n*c**3. Determine k(6). -5 Let s(w) be the second derivative of w**3/6 - 3*w**2 - 9*w - 2. Give s(-5). -11 Let m(a) = 6*a**2 - 20. Let r(u) = -8*u**2 + u + 22. Let o(w) = -5*m(w) - 4*r(w). Determine o(6). 60 Suppose 2*c - 10 = -2. Let w = -1 + c. Let x be w/9 - (-1)/(-3). Let h(n) = -n**3 - n**2 - 5. Calculate h(x). -5 Let k(g) = -4*g + 28*g**2 - 14 - 11*g - 29*g**2. Determine k(-14). 0 Suppose -3*b = z + 22, -3*b + 0*b - 4*z = 34. Let s(p) be the first derivative of p**2/2 + 2*p + 1. Let a be s(b). Let l(w) = -w + 5. Determine l(a). 9 Let q(c) = -c**2 - 7*c + 3. Let s be q(-7). Let w(n) = -n**2 - 7 + 4 - 2*n + n**3 - 1. Determine w(s). 8 Let b(l) = -2*l + 3. Suppose 11*u = 6*u + 4*j - 26, -4*j - 22 = 3*u. What is b(u)? 15 Let o be (-10 + 210/20)*2. Let s(p) = -15*p**3 + 2*p**2 - 2*p + 1. Determine s(o). -14 Let a(h) = 2*h**3 + 8 - 11*h**2 - 11*h - 3*h**3 - 26 + 21*h. What is a(-12)? 6 Let o = -5 + 4. Let m(v) be the second derivative of -v**3 + v**2/2 + 3*v. Give m(o). 7 Let f = -2 + 4. Suppose 2*n - 99 = -9*n. Let s(r) = -16*r - 3*r**f + n*r + 6 + r + 2*r**2. Give s(-6). 6 Let z(o) be the third derivative of o**6/120 - o**5/15 - o**4/4 - 10*o**2. What is z(5)? -5 Let k(i) = -11 - 11 + i + 17 + 7. Determine k(-4). -2 Let q(h) be the third derivative of h**5/30 + 7*h**4/24 + 5*h**3/6 - 2*h**2 + 14*h. Give q(-4). 9 Let n(z) = 6*z**2 + 0*z**2 + 4792*z**3 - 4791*z**3 + z**2 - 2*z - 5. Suppose 0 = d + 10 - 3. What is n(d)? 9 Let m(c) = -2*c**3 + c**2 + c - 1. Let p(w) = 6*w**3 - 19*w**2 - 10*w + 9. Let s(g) = -4*m(g) - p(g). What is s(-7)? 2 Let q be (-6)/(-45)*-6*(-60)/24. Let l(c) = -6 + 3 + 2*c + 2*c. Calculate l(q). 5 Let u(p) be the third derivative of p**6/120 - p**5/30 - p**4/8 - 2*p**3/3 + 52*p**2. Determine u(3). -4 Suppose 0 = -2*f + 4*g, -2*f + f - 2 = -4*g. Suppose -4*w + 2*m = 8, -3*w - f*m = -6*m + 6. Let n(y) = y + 2. Calculate n(w). 0 Let u(f) = 38 + 2*f**2 + 4*f**2 + 14*f**2 + 27*f. Let a = -40 - -23. Let k(z) = 7*z**2 + 9*z + 13. Let x(h) = a*k(h) + 6*u(h). Determine x(-6). -11 Let i(y) = -y. Let v(u) = -3*u + 1. Let l(g) = 6*i(g) - v(g). Give l(-3). 8 Suppose z - 3 = -4*h + 1, -2*z = -5*h + 5. Let t(a) = 2*a - 3. Calculate t(z). -3 Let x(p) = -2*p - 1. Let m(y) = 4. Let o(g) = m(g) + x(g). Determine o(-5). 13 Let s(u) be the third derivative of -2*u**4/3 + u**3/6 - 381*u**2. Determine s(1). -15 Let v(u) = u**2 - 4*u - 8. Let i be v(6). Let c = i - 0. Let n(z) = 4*z - 4*z**2 - c*z. Calculate n(1). -4 Let l be 120/(-18) + (-6)/(-9). Let v(f) be the first derivative of -2 - 1/3*f**3 + 3*f - 5/2*f**2. What is v(l)? -3 Let m(x) = 12 - 7*x + 11*x**3 + 8 - 23 + 2*x**2. Let r(s) = -11*s**3 - 3*s**2 + 9*s + 4. Let z(d) = -4*m(d) - 3*r(d). Determine z(-1). 11 Let t(s) = -4*s**3 - s**2 + 1. Suppose -3*f + 0*f = 72. Let v = 27 + f. Suppose v*q + 6 = -3*i, -i - 1 = i - q. What is t(i)? 4 Let d(i) = 22*i + 20. Let j(g) = -19*g - 19. Let w(k) = 6*d(k) + 7*j(k). Calculate w(-10). -3 Let i(d) = d**2 + d + 1. Let x(p) = -6*p**2 - 3*p - 4. Let j(b) = -5*i(b) - x(b). Calculate j(-4). 23 Let r(q) be the second derivative of q**6/120 - 7*q**5/60 + q**4/3 - 2*q**3/3 + q**2/2 + 26*q. Let g(m) be the first derivative of r(m). Calculate g(6). 8 Let x(d) = d**2 + 8*d + 6. Let v(r) = r**2 - 6*r - 10. Let h be v(8). Let b = 9 - h. Suppose -3*o = -b*i - 30, -4*i - 44 = 2*o - 7*o. What is x(i)? -6 Let w(z) = 107*z**3 - 7*z**2 + z**2 - 147*z**3 + 6*z**2. Give w(-1). 40 Let n(c) = 7*c + 4 - c**2 - 1 + 0 - 4. Let m = -5 - -11. Calculate n(m). 5 Let d(t) = 22*t + 6. Let h be (-7)/(-3)*9/3. Let u(r) = 15*r + 4. Let y(a) = h*u(a) - 5*d(a). Calculate y(-3). 13 Let l(s) be the second derivative of 1/2*s**3 - 10*s + 0 - s**2. Let f be (-5)/(-5) - (-4 - (-4 + 2)). Calculate l(f). 7 Let g(o) be the first derivative of o**4/4 - 5*o**3/3 + 3*o - 2. Let s be ((-78)/8)/(-3) + (-270)/(-360). Calculate g(s). -13 Suppose -7*h = -5*h. Suppose -5 = s - 3*g, h = 3*s - 5*s + 3*g - 1. Let v(y) = -y + y**3 + 2*y - 3 - 4*y**2 + 0*y**2. What is v(s)? 1 Let a(o) = -10*o**2 - 10*o - 9. Let z(x) = -19*x**2 - 22*x - 20. Let r(p) = 9*a(p) - 4*z(p). Determine r(-1). -13 Let m(v) = v**2 - 7*v + 3. Let n(b) = b**2 - b + 1. Let p(y) = m(y) - 2*n(y). Determine p(-6). -5 Let c(x) = x**2 - 15*x + 17. Let f be c(14). Let q(k) = k**3 - 5*k**2 + 4*k + 10. What is q(f)? 4 Let v(p) = p**3 + 3*p**2 + 4*p + 2. Let a = 46 + -49. Let k be ((-7)/3 + 3)*a. Calculate v(k). -2 Suppose -16 = 6*a + 32. Let g(n) = -n**3 - 7*n**2 + 6*n - 1. Give g(a). 15 Let u(v) = v - 5. Let b be (6/(-8))/(1/48). Let w be (-136)/b - 6/(-27). Suppose 5*i - 3*i - 20 = -w*s, 0 = -3*i - 2*s + 18. What is u(i)? -1 Let b(f) = -4*f + 1. Let x be b(0). Let y(k) = -6*k - 4. What is y(x)? -10 Let b(y) = -y**2 - 4*y - 3. Let j = -38 - -7. Let l = j + 29. Calculate b(l). 1 Let c(x) = -x**2 - 3*x + 1928 - 1924 - 4*x. Give c(-7). 4 Let o(q) = -4*q**3 + 24*q**2 - 15*q + 16. Let x(i) = i**3 - 6*i**2 + 4*i - 4. Let u(j) = -2*o(j) - 9*x(j). Let z = 4728 - 4723. Determine u(z). -1 Let o(v) = -v**2 + 10*v - 9. Let x(k) = k**2 - 11*k + 9. Let c(l) = 3*o(l) + 2*x(l). Give c(8). -9 Let i(x) be the second derivative of -x**3/3 + 4*x**2 - 84*x. Let b be 10 - 4/((-4)/(-2)). Determine i(b). -8 Suppose -3 + 23 = 3*s + 4*o, -s = 5*o - 14. Let x(l) = s*l + 4*l - 7*l - 4. What is x(6)? 2 Let m(i) = 3*i - 320 + 6*i + 306 - 4*i. What is m(3)? 1 Let a be (-40)/5 + (-1)/1. Let t be a/(-6)*8/3. Let x(k) = -4 + k + 2*k - 5*k + k. Determine x(t). -8 Let i(w) = 30 - 43 + 4 + 5*w + 3. What is i(-5)? -31 Let n = 1383 - 1367. Let r(z) = -2*z + 24. Determine r(n). -8 Let o(a) be the third derivative of a**5/60 - a**4/8 - a**3/3 + 121*a**2. Give o(4). 2 Let u(x) = -3*x**3 - x**2 + 1. Let w be u(-1). Let h be (-4)/(-3) - (-20)/3. Let a(i) = -h - 3 - 2*i + 0*i + w. What is a(-6)? 4 Let b(a) = -2*a + 7. Suppose 5*v + 8 = 18. Let m be b(v). Let x(g) = g**2 - 3*g + 1. Give x(m). 1 Let s(d) = 2*d**2 - 86*d + 85. Let t be s(42). Let v(k) = -5*k - 3*k + 9*k + 27*k**3 - 8*k**3. What is v(t)? 20 Suppose 0 = 3*h - 9, 3*q + 53 - 50 = -2*h. Suppose -15 = -3*b - 6. Let f(p) = 4*p + 4. Let a(t) = -11*t - 13. Let s(i) = b*a(i) + 8*f(i
{ "pile_set_name": "DM Mathematics" }
Let i be 2/(-2)*9/(-15)*135. Let h = -76 + i. Solve -5*s + 9 = h*z - 3*z, -z = 2*s - 4 for z. 2 Suppose -2*n = 5*r - 22, r - 2*r + 2*n + 14 = 0. Solve 0 = -b - 3*u + 6, r*b + u - 2 = 2*b for b. 0 Let x(o) = o**2 - 9*o + 21. Let d be x(5). Let v be 4/(0/(-1) + d). Solve 27 = v*u + 3*b + 1, 5*b + 5 = 3*u for u. 5 Let v(i) = i - 1. Let d(h) = 102*h + 4. Let n(f) = -d(f) - v(f). Let u be n(-1). Suppose 9*g = 4*g + u. Solve 4*m + 6*s - 2*s = g, m + 4*s - 5 = 0 for m. 5 Let l = -7983 + 7986. Let p(o) = -o**2 + 6*o + 2. Let s(k) = -k**2 - 9*k - 8. Let t be s(-7). Let q be p(t). Solve -q*g + v - l = -g, 3*g - v + 1 = 0 for g. 1 Let a be 2 - (-8 + 8)/(-9). Solve 3*g - 3 = -3*j, -a*j = 2*g - 6*j + 10 for g. -1 Let v be (-20)/(-9) + 6/(-27). Let t(o) = -o**3 - 6*o**2 - 9*o - 20. Let y be t(-5). Solve y*m + 4*j - 4 = v*m, 0 = -3*m + 5*j - 7 for m. -4 Suppose 10*t - 1850 = -1830. Solve -3*a = -3, -3*o + t*o - 4*a = -5 for o. 1 Let m = -346 + 351. Solve 3*s + 2 = -m*i - 5, -i - 4*s = -2 for i. -2 Let x(t) = -t**2 - 6*t + 25. Let l be x(-6). Solve 0 = -2*y + 5*b + l, 7 = -y + 4*b + 27 for y. 0 Let t = -17 - -22. Solve -z = h - 2*z + 4, 0 = t*h + z - 4 for h. 0 Let k(g) = g**3 - 3*g**2 + 2*g + 3. Let n be k(3). Let f = n + -3. Suppose -f*i = -0*i - 102. Solve 0*s + 4*x = -s + i, 0 = -s - 2*x + 9 for s. 1 Suppose -3*m + 84 = -2*u, -5*m = -m + 3*u - 95. Solve 24 = -4*i - 2*g, -m = 13*i - 9*i + 3*g for i. -5 Suppose 5*c + 0*p - 63 = 2*p, -1 = c + 3*p. Let z(y) = -5*y. Let b be z(-1). Solve 3*l = -4*u - 23, -b*u + 4*l = -2*u + c for u. -5 Suppose -3*s + 24 = 2*o + o, -2*o + 5*s = 19. Solve 2*a + j - 9 = 0, -a - o*a = -2*j - 14 for a. 4 Let x(b) = 9*b - 14. Let d(l) = -4*l + 7. Let s(c) = 7*d(c) + 3*x(c). Let k be s(5). Solve 11 = f + k*h, -2*h + h = -f - 1 for f. 3 Let g = 133 - 128. Suppose g*j = 10, -3*j = -3*x - 2*x + 9. Solve x*t + 7 = -2*a + 6*t, 5 = -2*a + t for a. -2 Suppose 2*q = 5*k - q + 95, 5*k = -5*q - 135. Let z be (-12)/(-20) + k/(-5). Solve -5 = 2*p + 5, p + 30 = z*y for y. 5 Suppose -80*w = -4*l - 85*w + 21, -4*l + 15 = -w. Solve -p - 3*p - 8 = -s, 5*s - l = 2*p for p. -2 Suppose 2*i - u = -i + 22, i - 5*u = -16. Suppose -s + 108 = i. Let j be 15/20 - s/(-12). Solve 2*b = q - 9, 3*b - 2*b - 5*q + j = 0 for b. -4 Suppose 8*n - 8 = 4*n. Suppose 3*t - 4*o + 2 = 22, -n*o - 24 = -5*t. Solve 0 = -i - t*p + 8, 2*p = -4*i - 3*p + 21 for i. 4 Suppose 3*n + 3 = 2*v, -1 = 3*v - 2*v + n. Suppose 6 = 2*l - v*l + j, 5*l + 11 = 4*j. Suppose -l - 7 = -2*b. Solve -b*d - p = 17, 3*d + 3*p + 12 = 2*p for d. -5 Suppose -812*g = -806*g. Solve -q - 2 - 3 = -o, -4*q - o = g for q. -1 Suppose -4*j + 15 = 3. Suppose 4*f + j - 19 = 0. Solve -2*x - 4 = 0, f*x - 5*x + 14 = -4*g for g. -4 Suppose 0*v - 12 = 2*v. Let k(p) = -p**2 - 8*p - 9. Let z be k(v). Let j = -136 + 143. Solve -5*d - z = c, 5*d - 5*c - j = 8 for d. 0 Let z(o) = -o**3 - 5*o**2 + 5*o - 10. Let f be 1*-1*(-2 - -8). Let u be z(f). Let r be 0 - ((-23 - 1) + u). Solve -5*a - r = d, -d + a + 2 = -0 for d. -3 Let i be (-4)/10 - (-34)/10. Let u be (0 - 30/9)*(-351)/13. Let x be ((-2)/4)/((-9)/u). Solve -2*g + 11 = -5*s, 0 = -8*s + i*s - x for g. 3 Let m be 5/(10/(-4)) - 4. Let j be (12/(-18))/(1/m). Let r(g) = -g**3 + 5*g**2 - 3*g. Let k be r(j). Solve 2*s - 17 = k*i + 7, 5*i + 20 = 0 for s. 4 Suppose -1371 = -13*d - 383. Let u = d + -64. Solve -u = -4*h - 4*g, g + 0*g - 2 = -2*h for h. -1 Let k be 0/(2 + (9 - 9)). Solve -3*v - d + 16 = k, -v + 0*d + 2 = -3*d for v. 5 Suppose 0 = 5*o - 3*t - 31, -4*o - 2*t + 14 = t. Let u(l) = -l**3 - 73*l**2 + 85*l + 816. Let w be u(-74). Solve o*y = 3*h + 7, 0 = w*y + 6*h - 4*h - 6 for y. 2 Suppose 0 = -4*t + p - 2*p + 41, 3*t - 2*p = 39. Solve 0*i - t = 5*i + 4*s, 2*i + 5*s + 1 = 0 for i. -3 Let g(o) = o**2 + o - 4. Let x(d) = d + 16. Let q be x(-19). Let a be g(q). Solve 3*j - 3*k - 1 = -a*k, 0 = -3*j + 4*k + 4 for j. 0 Let w be (0 - -2)*16/(-4). Let t(g) = -g**2 - 9*g - 4. Let z be t(-7). Let v = w + z. Solve 4*u + 5*s = -0*u + 5, -v*s - 6 = 0 for u. 5 Suppose -31 = -9*z - 13. Solve -z*n = 4*k + 24, -2*n - 13 = k + 2*n for k. -5 Let a = 15 - 9. Let v = -90 + 96. Suppose -a*j = -5*j - v. Solve 3*z = 3*k, -5*k + j = 2*z - 1 for k. 1 Suppose 84 - 36 = 12*o. Solve 0 = o*t - 5*p - 7, -4*p - 6 = 2*t + 10 for t. -2 Let o = 29 + -24. Let j(k) = k**2 - 2*k - 11. Let v be j(o). Suppose -5*b = -x - 17, 0 = 2*b - 0*x + x - v. Solve y + 14 = 4*t, -2*t - 2 = -2*y - b*y for y. 2 Let p(d) = -d**3 - 9*d**2 - 8*d + 4. Let a be p(-8). Suppose -2*q + 4 = -4. Let x = -27 - -47. Solve -x = a*n + q*l, 3*n = -2*n + 5*l - 25 for n. -5 Let c(p) = 15*p**2 - 2*p + 1. Let u be c(1). Suppose 4*q + 2 - u = 0. Let l be (0 + -2)*(-15)/10. Solve 0 = m - 0 + l, 3*r + 6 = q*m for r. -5 Let p(g) = g + 2. Let v be p(0). Let y = -24 - -30. Suppose -u + 2*w - 77 = -y*u, -4*u - 3*w = -63. Solve -2*a + 12 = v*k, k + 0*k - u = -4*a for k. 3 Let u be 2*2 - 0/(-4). Suppose 7*g - 508 = -508. Solve 0*w + w - 2 = 0, p + u*w - 10 = g for p. 2 Suppose -6*r + 7*r - 32 = -q, 0 = 5*q - r - 172. Solve -5*x + q = 3*f, 5*f - 3*f - 3*x = -9 for f. 3 Let a be (10/4)/(7/(-4) + 3). Let z be (2/(-5))/(3/(-15)). Let v = z - 0. Solve v*o = -a*h + 6, -h = 2*o - 3*h + 14 for o. -2 Let c be 108/(-10) - (-36)/45. Let t be (-15)/c - (-115)/10. Solve r = -r + 3*l - t, 3*r + 2*l = 0 for r. -2 Suppose d - 2 - 7 = 0. Suppose -4*y - 9 = -29. Suppose y*o - d*o = -36. Solve -4*h + 2*t + 10 = 0, 0*h - 3*h + o = -2*t for h. 1 Suppose -2*r = -5*r + 2*o, o - 7 = -2*r. Solve -5*t + 3*g - 22 = -0*g, -t - 10 = -r*g for t. -2 Let f be 18/(-33) - 7290/(-297). Solve -f = 4*n + v, 5*n + 2*v = -23 - 10 for n. -5 Let y be (26/6 - 4)*21. Let t be 37/y + 78/21 + -4. Solve 40 = t*u - 3*f, 5 + 5 = -u - 3*f for u. 5 Suppose 0*h = 4*h + q - 4, -h + 10 = -2*q. Suppose h*a = -3*a + 35. Suppose 4*p = -f + a, 2*p - 3*f + 8 = 29. Solve -2*w + p*w = 2*j + 6, w = -2*j - 10 for j. -4 Let a be -1*(-3 + 3)/(-2) - -87. Let u = -85 + a. Solve 0 = -u*o + y - 1 - 2, 0 = y + 5 for o. -4 Let s = 5 - 3. Let t = -3 + 8. Suppose 0*k + 4*k = -4*q + 12, 33 = t*q - 4*k. Solve h - s*h = -3, -23 = q*p - h for p. -4 Let a be ((-288)/144)/((-2)/9). Solve -2*z - 2*s = 6, -6*s = 3*z - a*s + 3 for z. -2 Let i(r) = 3*r**2 - 17*r + 27. Let y be i(2). Solve y*u + 5 = -j - 15, 2*j + 4*u = -16 for j. 0 Let a(j) = j**3 + 8*j**2 + 2*j + 17. Let k be a(-8). Suppose 0*p = -4*l + 3*p + 5, 11 = 3*l + 5*p. Solve -5*w + 3*x + 11 + k = 0, -l*x - 7 = -3*w for w. 3 Suppose 3*h + 7 = -4*a + 4, -h = 5*a + 1. Solve -2*x = 2*n - 14, 0 = x - 2*n - a + 5 for x. 3 Let z(x) = x**3 - 45*x**2 + x - 43. Let l be z(45). Solve -4*f = q - f + 10, -10 = l*q + f for q. -4 Let q = -2312 + 2316. Solve -k - 6 = 2*n, -q*k - 8 = 3*n - 3*k for n. -2 Suppose -3*f = -0*f - 12, 3*v - 2*f - 1 = 0. Let z = 984 + -980. Solve -v*c + 20 = -4*k, 0*k - z*c + 24 = -4*k for k. -2 Let u be 1/((-2)/(-40)*4). Solve -10 + 0 = 2*v + 3*k, -10 = u*k for v. -2 Let i = 121 + -119. Suppose 6*h - i*h - 12 = 0. Solve 0*v + q - 3 = -v, 5 = h*v + 2*q for v. -1 Let i(h) = 2*h. Let f be i(5). Let s be (0 + 1)*f/5. Solve 2*p + 4*a + 2 = -0*p, s*p - 5*a + 20 = 0 for p. -5 Let n be 1 + 0/(-3) - -3. Suppose n*q + 1 = 9. Solve 14 = 5*w + b, 4*w + q*b - 10 = -0*w for w. 3 Let y(u) = 36*u - 285. Let s be y(8). Solve 2*w - 5*w = -s*a, 5*a - 4*w = -5 for a. -5 Let f be ((-1)/((-4)/(-24)))/(-1)*-20. Let z be 49/10 - 12/f. Solve 18 = -v - 4*r, -z*v - 11 = 5*r + 4 for v. 2 Let y be 1 - (2/1 + -4). Solve 21 = y*t - 0*t - 5*h, 4*h = 3*t - 18 for t. 2 Let l be (4 - (-8)/36) + (-12)/54. Solve -l*r - 3*o + 3 = 0, -4*r + o = 3*o - 2 for r. 0 Let y = 0 + 0. Let g be (1*(0 - -7))/(23/23). Solve 3*a - g*p + 3*p + 25 = y, 4*a = 3*p - 24 for a. -3 Suppose 0 = -2*l - 2*l + 36. Suppose -6*t - l = -9*t. Solve -3*f + 0 - t = 0, -2*s = 4*f for s. 2 Suppose 4*p - 50 = -2*x, -4*p + 0*p = 4*x - 52. Suppose -3*m + 6*m - p = 0. Let f be (35/28)/(1/m). Solve -2*v + 2*y = 18, f = v + 2*y - 1 for v. -4 Suppose -1 = 3*o - 3*w + 2, -10 = 2*o - 4*w. Suppose -5*u + o + 7 = 0. Solve k - 29 + 3 = -5*g, 3*k = u*g - 7 for g. 5 Let s be ((-96)/60)/(24/(-10) + 2). Suppose 4*q + x + 1 = 0, 0*q + 7 = 2*q - x. Let l be (-4)/(-2) - -2 - q. Solve -5*f = -3*y + 24, -y = l*f + s*y - 6 for f. -3 Let d(i) = -1
{ "pile_set_name": "DM Mathematics" }
first derivative of 2572*v + 1398 wrt v. 2572 Differentiate 10*j**4 + 4*j**3*w**3 - 103*w**3 with respect to j. 40*j**3 + 12*j**2*w**3 What is the second derivative of 6046*b**3 - 1985*b? 36276*b Find the first derivative of -48*k*r**3*z - k*r*z**2 - 9*r**3*z - 29*z**2 wrt k. -48*r**3*z - r*z**2 Find the second derivative of -80*f**5 + 7*f**3 + 468*f wrt f. -1600*f**3 + 42*f Differentiate -p**2*x**2 - 239*p**2 - 18*p*x**2 + 4*p with respect to x. -2*p**2*x - 36*p*x What is the third derivative of -1627*q**5 - 2753*q**2 wrt q? -97620*q**2 What is the third derivative of -5*b*s**5 - b*s**3 + 3*b*s + 5*b - 2*s**2 wrt s? -300*b*s**2 - 6*b Differentiate 2*t**2*v - 2*t*u**2*v - 920*t*u**2 + 1329*u**2*v - u*v wrt t. 4*t*v - 2*u**2*v - 920*u**2 What is the second derivative of 65*k**5 + 6*k**2 + 951*k wrt k? 1300*k**3 + 12 What is the second derivative of -603*j**3*m + j**3*p**2 - 3*j**3*p - j*m*p + 2*j*m + 51*j - 3*m*p**2 - 2*p wrt j? -3618*j*m + 6*j*p**2 - 18*j*p Find the second derivative of -8382*z**2 - 6342*z. -16764 What is the first derivative of 214*z**3 + 180? 642*z**2 What is the first derivative of 15*m**4 - 2*m**3 - 10*m**2 - 747 wrt m? 60*m**3 - 6*m**2 - 20*m What is the derivative of -3*f**3*o**2*v - 6*f**3*o**2 + f**2*o**2 + 4*f*o + 6*o**2*v + 8*v wrt v? -3*f**3*o**2 + 6*o**2 + 8 Find the third derivative of -9*x**5 - 4*x**3 - 228*x**2 - 1 wrt x. -540*x**2 - 24 What is the third derivative of -22*a**3*p**3 - 2*a**3*p**2 - 42*a**3 - 34*a**2*p**3 + 2*a**2*p - 2*a*p**2 - 8*p**2 wrt a? -132*p**3 - 12*p**2 - 252 Find the second derivative of 2917*b**4 + 11*b - 69. 35004*b**2 What is the third derivative of -224*b**3 + 3*b**2 - 37*b? -1344 Find the second derivative of -1711*q**4 - 3*q**3 + 6566*q - 1 wrt q. -20532*q**2 - 18*q Differentiate 2*b*t**2*z + 4*b*t**2 + 3*b*t - 3*b*z + t**3*z - 27*t**3 + 2*z**2 with respect to z. 2*b*t**2 - 3*b + t**3 + 4*z Find the third derivative of 1028*k**6 - 83*k**2 - 21*k. 123360*k**3 Find the second derivative of v**3 + 328*v**2 + 183*v - 9. 6*v + 656 Differentiate 4*f*i**3*o*v + 4*f*i**3*o + 8*f*o*v - 13*i**3*v + 7*i**2*o*v wrt f. 4*i**3*o*v + 4*i**3*o + 8*o*v What is the third derivative of 4*d**6*t**2 - d**4*t**2 - 6*d**2 - d*t**2 + 16*t**2 wrt d? 480*d**3*t**2 - 24*d*t**2 Find the second derivative of 40*f**3 + 2*f - 12. 240*f What is the derivative of -57*x + 38 wrt x? -57 What is the first derivative of -99*l - 70 wrt l? -99 Find the second derivative of -2*m**4*y + 19*m**2*y**2 + 46*m*y + 3*y**2 wrt m. -24*m**2*y + 38*y**2 Find the second derivative of -80*r**4 + 263*r. -960*r**2 Find the first derivative of 2*t**2 + 21*t + 589. 4*t + 21 Find the second derivative of -v**4 + 193*v**2 - 55*v + 1 wrt v. -12*v**2 + 386 What is the second derivative of 2*a*o**4*t**2 - 760*a*o**3*t**2 - a*t - 2*a + o + 107*t**2 wrt o? 24*a*o**2*t**2 - 4560*a*o*t**2 What is the second derivative of -5714*c**2 - c - 1383 wrt c? -11428 What is the second derivative of 72*s**4 + 221*s wrt s? 864*s**2 What is the first derivative of -j**3*y - 143*j**3 - 172*j**2*p*y - 3*j**2*p wrt y? -j**3 - 172*j**2*p Find the third derivative of 49*g**3 + 47*g**2 - 2*g. 294 What is the third derivative of 777*s**3 - 3944*s**2 wrt s? 4662 What is the third derivative of 14628*k**3 + 624*k**2 - 2*k? 87768 Find the second derivative of 2*i**3 - 151*i**2 + 922*i. 12*i - 302 What is the third derivative of i*k*p**3 - i*k + i*p - 56*k*p**3 - 4*k*p**2 - 3*k*p wrt p? 6*i*k - 336*k Find the third derivative of 279*v**5 - 484*v**2 - 2*v. 16740*v**2 Find the second derivative of 3796*c**5 - c**4 + 7*c + 607. 75920*c**3 - 12*c**2 What is the third derivative of 7013*c**6 + 6*c**2 - 84*c wrt c? 841560*c**3 Find the third derivative of -183*c**6 - 2*c**5 - 397*c**2 - 2. -21960*c**3 - 120*c**2 What is the third derivative of -11162*h**6 + 29936*h**2 wrt h? -1339440*h**3 What is the derivative of 3426*i**3 + 206? 10278*i**2 What is the derivative of 4*g*o**2*u + 31*g*o*u + 914*o**2*u wrt g? 4*o**2*u + 31*o*u What is the derivative of -140*l*n**2 + 183*n**2 wrt l? -140*n**2 Find the second derivative of -2*s**5 + 101*s**4 + 189*s. -40*s**3 + 1212*s**2 Find the third derivative of -22*t**2*v**3*w**3 + 3*t**2*v*w + 39*t*v**2 - 26*t*v*w**3 + 125*v**3*w + v wrt v. -132*t**2*w**3 + 750*w Find the third derivative of 2460*g**3 - 14*g**2 - 12*g. 14760 Find the third derivative of 8*v**5 - 8*v**3 + 138*v**2 wrt v. 480*v**2 - 48 Find the first derivative of 6*h**3 - h**2 + 1203. 18*h**2 - 2*h Find the first derivative of -15*v**4 + 4*v**3 + 931 wrt v. -60*v**3 + 12*v**2 Differentiate 3*c**2*f**2 - 400*c**2*f + 27971*c**2 + f**2 wrt f. 6*c**2*f - 400*c**2 + 2*f What is the first derivative of -4*d**2 + 22*d - 148? -8*d + 22 What is the third derivative of l**4*y**2 + l**4 - 20*l**3*y**2 + l**2 - l - 7*y**2 wrt l? 24*l*y**2 + 24*l - 120*y**2 What is the first derivative of -71*z**2 + 18*z + 2093? -142*z + 18 Find the third derivative of -2*d**3*g - 2*d**3*y**3 + 2543*d**3*y**2 + 2569*g*y**3 - g*y wrt y. -12*d**3 + 15414*g What is the third derivative of 4371*n**3 - n**2 - 276*n + 16? 26226 Find the third derivative of 2*p**4 - 123*p**3 + 25*p**2. 48*p - 738 Find the third derivative of 140*i**6 + 2*i**2 - 139 wrt i. 16800*i**3 Differentiate -45*d**3*u**2 - d**3 - 2*d**2 + 7973*u**2 wrt d. -135*d**2*u**2 - 3*d**2 - 4*d Find the third derivative of -19*a**3*o*y**2 + 10*a**3*o - 5*a**2*o*y**2 + a**2*o - 11*a**2 wrt a. -114*o*y**2 + 60*o Find the first derivative of -12*y**2 - 4*y + 182 wrt y. -24*y - 4 What is the derivative of 3*b**2*w**2 - 305*b**2 - 15*b*w**2 - 6*w wrt w? 6*b**2*w - 30*b*w - 6 What is the second derivative of 10937*z**3 - 2581*z - 1? 65622*z Find the first derivative of -1678*n**3 - n**2 + 2*n - 12125 wrt n. -5034*n**2 - 2*n + 2 Differentiate -21*o**3 + 8*o**2 + 1243. -63*o**2 + 16*o What is the derivative of -85*n**2 - 105? -170*n Find the first derivative of 1751*p + 715 wrt p. 1751 Find the third derivative of 2*j**3*m + 116*j**3*x**2 + 3*j**3 + 7*j**2*m*x**2 - j**2*m + 38*j*m*x**2 wrt j. 12*m + 696*x**2 + 18 What is the third derivative of 4523*z**3 - 913*z**2 wrt z? 27138 Find the first derivative of 287*f**2*u**3 + 2*f**2 - 45*f - 18 wrt u. 861*f**2*u**2 Differentiate g*q**2 - 8*g*q + 4*g + 3*q**2 + 1 with respect to q. 2*g*q - 8*g + 6*q Differentiate -4*n**3*r**2 - 2322*n**3 + 170*n**2*r*t + 3*n**2*t + r**2 wrt r. -8*n**3*r + 170*n**2*t + 2*r Find the second derivative of -409*f**2*g**2 + f**2 + 21*f - 32*g**2 wrt f. -818*g**2 + 2 Find the second derivative of -3*i*p**4 - 4*i*p**2*w - 2*i*p*w**2 + 18*i*p*w + 2*i*p + 4*p**3*w**2 - 5*w**2 wrt p. -36*i*p**2 - 8*i*w + 24*p*w**2 Find the first derivative of -13897*c + 20857. -13897 Find the second derivative of -16*m**2*o**3 + 2*m**2*o + 3*m**2 + m*o**2 - 3*o**3 wrt o. -96*m**2*o + 2*m - 18*o Differentiate 2*j**2*z - 2*j**2 - 2*j*t**2*z**2 - 37*j*t**2 - 27*t*z**2 wrt z. 2*j**2 - 4*j*t**2*z - 54*t*z Find the second derivative of -133*v**2 - 11*v - 11 wrt v. -266 What is the derivative of 18*l**2*p**2 + 36*l**2 - l - 31*p**4 + 79 wrt p? 36*l**2*p - 124*p**3 What is the third derivative of 1149*c**4 - 533*c**2 wrt c? 27576*c What is the second derivative of -2*b**3*u**2 + b**3*u + 3*b**2*u - 11*b*q*u**3 - 7*b*q*u - b*u**3 - 1 wrt u? -4*b**3 - 66*b*q*u - 6*b*u What is the second derivative of 950*d**3*k + 2*d**2 - d*k - 1234*d wrt d? 5700*d*k + 4 What is the third derivative of 8*j**6 + 409*j**5 - 4148*j**2 - 2*j - 1 wrt j? 960*j**3 + 24540*j**2 What is the third derivative of -743*q**5 - 5*q**4 - 13*q**2 - q + 179 wrt q? -44580*q**2 - 120*q Find the third derivative of -1367*h**6 - 3355*h**2 wrt h. -164040*h**3 Find the second derivative of 2745*v**2 + 26*v. 5490 What is the derivative of -497*c*g**2 + c*g + 1067*g**2 - 2 wrt c? -497*g**2 + g Find the third derivative of i**3*l**4 + 62*i**3*l - 4*i*l**4 - 7*l**4 + l**2 + l wrt l. 24*i**3*l - 96*i*l - 168*l What is the second derivative of -2*a**4 + 20*a**3 - 125*a? -24*a**2 + 120*a Find the third derivative of -6705*u**4 - 1509*u**2 + 4. -160920*u Find the second derivative of -5848*g**2 - g + 7925. -11696 What is the second derivative of -2*l**3*m**2 + 27*l**3*m + 6*l**3 - 5*l*m**2 + 5*l*m - 25*m**2 wrt m? -4*l**3 - 10*l - 50 What is the derivativ
{ "pile_set_name": "DM Mathematics" }
-2*z**3 - 980*z**2 + 990*z + 4862. What is g(-491)? 934 Let a(s) = -2084*s + 410543. Give a(197). -5 Let b(g) = 1366*g - 7139. What is b(6)? 1057 Let a(o) = -2604*o - 270814. Give a(-104). 2 Let f(b) = 3715*b - 393788. What is f(106)? 2 Let q(g) = 270245*g + 7296611. Give q(-27). -4 Let r(w) = -5*w**2 + 501*w + 1001. Determine r(-2). -21 Let m(h) = 16591*h + 49714. Calculate m(-3). -59 Let z(w) = 40*w**2 + 449*w + 130. Calculate z(-10). -360 Let s(y) = 411834*y - 2059164. Calculate s(5). 6 Let m(t) = -92*t**2 + 1095*t - 1092. Give m(1). -89 Let f(g) = -819*g - 52565. Give f(-56). -6701 Let q(k) = -1349*k + 31017. What is q(23)? -10 Let b(y) = -3*y**3 - 1938*y**2 - 11484*y + 23049. What is b(-640)? 9 Let f(u) = u**2 + 56563*u - 339428. Give f(6). -14 Let y(i) = 9*i**2 - 2340*i + 2341. Calculate y(1). 10 Let r(z) = 19*z**2 - 158*z + 4. Determine r(8). -44 Let s(r) = 3*r**2 - 3629*r - 18168. Give s(-5). 52 Let z(b) = 35999*b - 12635641. Determine z(351). 8 Let d(y) = -y**3 - 13*y**2 - 22*y + 2741. Determine d(10). 221 Let t(b) = 478*b - 48886. What is t(107)? 2260 Let d(z) = 69*z**2 - 16846*z + 2423. What is d(244)? -17 Let q(s) = -s**3 - 34*s**2 - 72*s - 1168. What is q(-33)? 119 Let v(g) = -2*g**3 - 499*g**2 + 5464*g + 765. Give v(-260). -275 Let r(w) = -w**2 + 133*w - 4374. Calculate r(68). 46 Let n(c) = -c**3 - 45*c**2 - 495*c - 44. Give n(-21). -233 Let c(m) = -87147*m + 261344. Give c(3). -97 Let g(q) = 3802*q - 66756. What is g(18)? 1680 Let f(i) = -40*i**2 - 346*i + 57. Calculate f(-8). 265 Let v(z) = 5*z**3 + 353*z**2 - 138*z + 86. Give v(-71). -198 Let l(c) = -49*c**3 + 3*c**2 - 11*c + 17. Determine l(3). -1312 Let r(i) = -30*i**2 - 232*i - 306. What is r(-6)? 6 Let g(m) = 5644*m + 28105. What is g(-5)? -115 Let a(o) = -o**2 - 87543*o - 8045488. What is a(-92)? 4 Let w(a) = a**2 - 408*a + 38059. What is w(144)? 43 Let s(k) = -k**3 + 33*k**2 - 12*k - 2036. Calculate s(0). -2036 Let d(p) = -p**3 + 96*p**2 - 2040*p + 376. Determine d(64). 888 Let t(o) = -100*o**3 - 24*o**2 + 86*o + 7. Determine t(3). -2651 Let v(c) = 1010832*c - 4043334. Give v(4). -6 Let z(r) = -147*r**2 - 22*r - 52. What is z(-4)? -2316 Let z(p) = -14*p**3 + 284*p**2 - 46*p - 724. Determine z(20). -44 Let r(t) = -t**3 - 232*t**2 - 3661*t - 1210. Calculate r(-215). 80 Let j(m) = 3*m**3 + 167*m**2 - 50*m + 330. Calculate j(-56). -6 Let g(u) = u**3 - 35*u**2 - 1483*u + 51112. Determine g(33). -5 Let u(w) = -55*w**3 + 13*w**2 - 28*w - 3. Calculate u(2). -447 Let c(l) = -31*l**2 - 11218*l - 31983. Determine c(-359). -32 Let v(d) = -705*d + 446272. What is v(633)? 7 Let m(y) = y**3 - 379*y**2 + 770*y - 6037. Determine m(377). -5 Let p(q) = 594*q + 2447. Determine p(-4). 71 Let c(v) = 23052*v - 36122491. Calculate c(1567). -7 Let n(u) = u**3 - 7*u**2 + 154*u - 1719. What is n(11)? 459 Let r(m) = -2*m**3 + 570*m**2 + 13518*m - 3055. Give r(307). 15 Let z(u) = -2*u**2 - 27*u + 18584. Calculate z(88). 720 Let x(k) = 53*k + 1608. What is x(123)? 8127 Let v(q) = -17*q**2 + 1795*q - 894. What is v(105)? 156 Let a(m) = 21*m**2 + 2329*m - 51835. Calculate a(19). -3 Let g(j) = j**3 - 19*j**2 - 744*j + 10687. Determine g(13). 1 Let m(p) = 82918*p - 746292. Give m(9). -30 Let i(l) = 2*l**2 + 162*l - 5220. Calculate i(33). 2304 Let x(f) = f**3 + 88*f**2 - 565*f - 120. Give x(-94). -26 Let h(s) = -24293*s + 72707. Determine h(3). -172 Let j(v) = -15*v**2 - 950*v - 9243. What is j(-10)? -1243 Let m(d) = -4*d - 925. Calculate m(-95). -545 Let i(u) = 4045*u - 412639. Determine i(102). -49 Let j(z) = -z**3 - 108*z**2 + 275*z + 29585. Determine j(-108). -115 Let z(x) = -x**2 - 152*x - 3150. Calculate z(-126). 126 Let j(n) = -2165*n - 34370. Calculate j(-16). 270 Let l(c) = -3695*c - 1736656. What is l(-470)? -6 Let n(t) = -12*t**3 - 446*t**2 - 84*t - 108. Calculate n(-37). 262 Let w(s) = 36*s**2 + 212*s - 320. Determine w(-7). -40 Let z(n) = -49*n**2 + 165*n + 419. What is z(-3)? -517 Let i(u) = u**3 + 19*u**2 - 57*u - 671. Calculate i(-20). 69 Let r(m) = -4*m**3 - 29*m**2 - 217*m - 877. Calculate r(-5). -17 Let a(v) = -v**3 + 46*v**2 + 64*v + 835. What is a(47)? 1634 Let t(x) = x**2 + 796*x - 82796. What is t(93)? -119 Let r(c) = -6*c**3 + 99*c**2 - 5479*c + 80173. What is r(15)? 13 Let s(l) = -4*l**2 + 509*l - 12934. Determine s(92). 38 Let p(n) = 6954*n - 744086. Calculate p(107). -8 Let t(p) = 1192*p**2 + 28606*p - 49. Determine t(-24). -1 Let l(p) = -2*p**2 + 334258*p + 2674188. Determine l(-8). -4 Let d(c) = -17307*c + 2388366. Calculate d(138). 0 Let m(r) = 5296*r**2 + 15882*r + 5. Determine m(-3). 23 Let a(h) = -34*h**2 - 27*h + 93. Calculate a(4). -559 Let d(a) = -a**3 - 62*a**2 + 69*a + 4437. What is d(-62)? 159 Let b(y) = 52*y - 628. What is b(11)? -56 Let x(b) = -b**2 + 68708*b + 3300314. What is x(-48)? 26 Let j(l) = -8*l**2 + 2276*l - 15534. Calculate j(7). 6 Let q(d) = 111041*d - 444183. Calculate q(4). -19 Let a(i) = -20*i**3 + 444*i**2 - 82*i - 138. Determine a(22). -6 Let t(u) = 16*u**2 + 1965*u + 9261. What is t(-118)? 175 Let q(t) = -13*t**2 - 409*t - 176. Give q(-31). 10 Let l(a) = 8068*a**2 + 80844*a + 1632. What is l(-10)? -8 Let a(c) = 231*c**2 - 10856*c + 32. Determine a(47). 79 Let y(k) = -k**2 + 19464*k - 1202927. Calculate y(62). -3 Let j(q) = -q**3 - 27*q**2 + 37*q + 1772. Determine j(-18). -1810 Let v(a) = -2520*a + 292437. Calculate v(116). 117 Let o(h) = 40*h**2 + 13*h - 53. Determine o(3). 346 Let i(v) = -v**3 - 31*v**2 + 1933*v + 14688. Give i(-7). -19 Let d(l) = -l**3 + 1237*l**2 + 35413*l - 206. Give d(-28). -10 Let k(b) = -160*b + 38250. Determine k(239). 10 Let o(v) = 96566*v - 289765. What is o(3)? -67 Let s(q) = 72036*q + 1944968. Give s(-27). -4 Let d(q) = 2222026*q - 31108360. What is d(14)? 4 Let x(s) = -506*s**2 + 9102*s - 24. What is x(18)? -132 Let y(b) = -2*b**3 + 330*b**2 + 4*b - 246. Give y(165). 414 Let q(h) = -967701*h - 4838514. What is q(-5)? -9 Let r(g) = 846*g - 42235. Determine r(50). 65 Let m(g) = 4*g**2 - 103*g - 704. Give m(30). -194 Let f(a) = -1309*a**2 + 1426*a + 8. Give f(1). 125 Let h(f) = -f**2 - 92*f - 205. Calculate h(-81). 686 Let g(m) = m**3 - 24*m**2 + 61*m + 352. Determine g(20). -28 Let h(q) = 2*q**3 + 135*q**2 - 216*q - 576. Determine h(-69). 45 Let g(d) = d**3 - 8*d**2 - 12652*d + 114045. Give g(9). 258 Let i(v) = -12152*v + 109434. Determine i(9). 66 Let g(j) = 97*j + 450. What is g(-2)? 256 Let o(p) = -10*p**2 - 2951*p - 17352. Calculate o(-6). -6 Let c(m) = -1654*m + 52612. Calculate c(37). -8586 Let w(c) = c**2 + 1019*c - 258042. Determine w(210). 48 Let v(z) = 238*z**2 - 2841*z - 11384. Determine v(-4). 3788 Let l(w) = 237*w**3 + 3*w**2 + 4*w - 5. Calculate l(1). 239 Let x(t) = 2*t**2 + 44*t + 164. Calculate x(-14). -60 Let l(u) = 18*u**2 + 72*u + 134. What is l(-11)? 1520 Let o(d) = -10535*d + 5868008. What is o(557)? 13 Let m(p) = -1255*p - 3718. Give m(-3). 47 Let s(q) = 431*q + 216350. Calculate s(-502). -12 Let o(n) = 51779*n + 11. Give o(0). 11 Let l(k) = 5111*k + 178850. Determine l(-35). -35 Let g(v) = -240*v**2 + 81361*v - 412. Determine g(339). -73 Let n(s) = -6*s**2 + 52354*s - 52356. Determine n(1). -8 Let m(o) = o**3 - 40*o**2 - 2261*o + 89717. Give m(39). 17 Let d(f) = -974*f + 8697. Calculate d(9). -69 Let s(b) = -5*b**3 - 1857*b**2 - 759*b - 6563. Determine s(-371). -256 Let f(b) = 31*b**2 + 90*b - 82293. Give f(-53). 16 Let f(k) = 2200*k - 220007. Give f(100). -7 Let g(i) = 9*i**3 + i**2 + 19*i - 1. Determine g(4). 667 Let s(p) = -p**3 - 89*p**2 - 528*p - 65. What is s(-82)? -3837 Let q(d) = d**3 + 65*d**2 - 443*d - 808. Determine q(-71). 399 Let q(t) = -73*t**2 - 370*t + 375. What is q(1)? -68 Let s(m) = 2*m**3 + 156*m**2 + 452*m + 70. Calculate s(-75). -80 Let v(x) = 3760*x - 18779. Calculate v(5). 21 Let a(r) = 247622*r + 13866828. Determine a(-56). -4 Let a(v) = v**3 - 21*v**2 + 638*v - 14664. Give a(22). -144 Let i(z) = -2*z**3 + 17*z**2 - 97*z + 989. What is i(13)? -1793 Let j(g) = 936*g - 8392. Calculate j(9). 32 Let n(i) = 2*i**2 - 560*i + 22285. Calculate n(48). 13 Let s(f) = 58943*f + 58949. Give s(-1). 6 Let g(t) = -16*t**2 - 3374*t - 9983. What is g(-3)? -5 Let z(t) = 150*t**3 + 593*t**2 - 20*t - 14. Give z(-4). -46 Let l(o) = -46*o + 2364. Calculate l(62). -488 Let m(s) = 5319*s - 31
{ "pile_set_name": "DM Mathematics" }
311935278 to the nearest integer? 1095 What is 714285260 to the power of 1/9, to the nearest integer? 10 What is the square root of 349626399 to the nearest integer? 18698 What is the square root of 366237095 to the nearest integer? 19137 What is 827199454 to the power of 1/7, to the nearest integer? 19 What is 429887924 to the power of 1/2, to the nearest integer? 20734 What is 101042638 to the power of 1/9, to the nearest integer? 8 What is 7241739589 to the power of 1/2, to the nearest integer? 85098 What is the fourth root of 66990236 to the nearest integer? 90 What is 57763384 to the power of 1/8, to the nearest integer? 9 What is 32748569 to the power of 1/7, to the nearest integer? 12 What is 97968656 to the power of 1/10, to the nearest integer? 6 What is the square root of 12678237 to the nearest integer? 3561 What is the tenth root of 235293469 to the nearest integer? 7 What is 1054629216 to the power of 1/3, to the nearest integer? 1018 What is 1292961597 to the power of 1/9, to the nearest integer? 10 What is 518788920 to the power of 1/3, to the nearest integer? 804 What is 214575833 to the power of 1/3, to the nearest integer? 599 What is the cube root of 1574657168 to the nearest integer? 1163 What is the square root of 451833129 to the nearest integer? 21256 What is 716136034 to the power of 1/2, to the nearest integer? 26761 What is 5302975818 to the power of 1/2, to the nearest integer? 72822 What is the tenth root of 700305734 to the nearest integer? 8 What is 44187260 to the power of 1/3, to the nearest integer? 354 What is the cube root of 22559043 to the nearest integer? 283 What is 60026061 to the power of 1/9, to the nearest integer? 7 What is 729789974 to the power of 1/4, to the nearest integer? 164 What is the seventh root of 1252684256 to the nearest integer? 20 What is 893404008 to the power of 1/2, to the nearest integer? 29890 What is 427364510 to the power of 1/5, to the nearest integer? 53 What is 1122877707 to the power of 1/8, to the nearest integer? 14 What is 140498884 to the power of 1/6, to the nearest integer? 23 What is the seventh root of 1695130169 to the nearest integer? 21 What is 45817526 to the power of 1/2, to the nearest integer? 6769 What is the ninth root of 4170028773 to the nearest integer? 12 What is the eighth root of 673403526 to the nearest integer? 13 What is the sixth root of 748920651 to the nearest integer? 30 What is 44488102 to the power of 1/5, to the nearest integer? 34 What is 507935250 to the power of 1/3, to the nearest integer? 798 What is the ninth root of 329586978 to the nearest integer? 9 What is the ninth root of 2487504073 to the nearest integer? 11 What is 127427444 to the power of 1/2, to the nearest integer? 11288 What is 200802796 to the power of 1/2, to the nearest integer? 14170 What is 622743288 to the power of 1/4, to the nearest integer? 158 What is 61815848 to the power of 1/4, to the nearest integer? 89 What is the fourth root of 78387443 to the nearest integer? 94 What is the fourth root of 491505905 to the nearest integer? 149 What is the eighth root of 210012135 to the nearest integer? 11 What is the ninth root of 133158093 to the nearest integer? 8 What is 49724316 to the power of 1/3, to the nearest integer? 368 What is the seventh root of 59367674 to the nearest integer? 13 What is 750159273 to the power of 1/2, to the nearest integer? 27389 What is 7706735361 to the power of 1/2, to the nearest integer? 87788 What is the seventh root of 34133455 to the nearest integer? 12 What is the fourth root of 163042036 to the nearest integer? 113 What is 2612160871 to the power of 1/3, to the nearest integer? 1377 What is the seventh root of 149412496 to the nearest integer? 15 What is the square root of 58381383 to the nearest integer? 7641 What is the third root of 3306013790 to the nearest integer? 1490 What is the cube root of 36286826 to the nearest integer? 331 What is the cube root of 149592544 to the nearest integer? 531 What is the square root of 86089819 to the nearest integer? 9278 What is the square root of 180988848 to the nearest integer? 13453 What is the third root of 3397859607 to the nearest integer? 1503 What is 62523275 to the power of 1/2, to the nearest integer? 7907 What is the cube root of 112684728 to the nearest integer? 483 What is the fourth root of 167864240 to the nearest integer? 114 What is 1477755141 to the power of 1/7, to the nearest integer? 20 What is 77970773 to the power of 1/2, to the nearest integer? 8830 What is 132604857 to the power of 1/8, to the nearest integer? 10 What is the sixth root of 1096342291 to the nearest integer? 32 What is the fifth root of 400257763 to the nearest integer? 53 What is the cube root of 40481318 to the nearest integer? 343 What is the seventh root of 97251243 to the nearest integer? 14 What is the cube root of 1922823219 to the nearest integer? 1244 What is the third root of 26765167 to the nearest integer? 299 What is 166442698 to the power of 1/6, to the nearest integer? 23 What is the square root of 1505428306 to the nearest integer? 38800 What is the eighth root of 177929514 to the nearest integer? 11 What is 6717346289 to the power of 1/2, to the nearest integer? 81959 What is 1027000637 to the power of 1/3, to the nearest integer? 1009 What is the third root of 515747283 to the nearest integer? 802 What is 1688453595 to the power of 1/2, to the nearest integer? 41091 What is the third root of 1767658394 to the nearest integer? 1209 What is the fourth root of 4371308684 to the nearest integer? 257 What is the tenth root of 347903054 to the nearest integer? 7 What is the third root of 51172766 to the nearest integer? 371 What is 119194513 to the power of 1/9, to the nearest integer? 8 What is 9723381 to the power of 1/10, to the nearest integer? 5 What is 1551995330 to the power of 1/2, to the nearest integer? 39395 What is the square root of 332336411 to the nearest integer? 18230 What is the tenth root of 683186075 to the nearest integer? 8 What is 267639665 to the power of 1/3, to the nearest integer? 644 What is 32359487 to the power of 1/2, to the nearest integer? 5689 What is 71803126 to the power of 1/5, to the nearest integer? 37 What is the seventh root of 163629517 to the nearest integer? 15 What is 1661685758 to the power of 1/4, to the nearest integer? 202 What is the third root of 15010461 to the nearest integer? 247 What is the cube root of 77230756 to the nearest integer? 426 What is the square root of 625560577 to the nearest integer? 25011 What is the cube root of 43797027 to the nearest integer? 352 What is the tenth root of 1435214797 to the nearest integer? 8 What is the cube root of 2755566804 to the nearest integer? 1402 What is the eighth root of 3080481 to the nearest integer? 6 What is 97042860 to the power of 1/3, to the nearest integer? 460 What is the fourth root of 809332301 to the nearest integer? 169 What is the ninth root of 64524440 to the nearest integer? 7 What is 4317170308 to the power of 1/3, to the nearest integer? 1628 What is the square root of 9018099 to the nearest integer? 3003 What is 15712431 to the power of 1/7, to the nearest integer? 11 What is 282103503 to the power of 1/2, to the nearest integer? 16796 What is the sixth root of 3189449082 to the nearest integer? 38 What is the square root of 49793161 to the nearest integer? 7056 What is 2171390713 to the power of 1/2, to the nearest integer? 46598 What is 38721233 to the power of 1/2, to the nearest integer? 6223 What is 7291380249 to the power of 1/3, to the nearest integer? 1939 What is 204180438 to the power of 1/6, to the nearest integer? 24 What is 49390750 to the power of 1/4, to the nearest integer? 84 What is the cube root of 284080807 to the nearest integer? 657 What is the sixth root of 387849540 to the nearest integer? 27 What is the third root of 15018618 to the nearest integer? 247 What is 442828956 to the power of 1/5, to the nearest integer? 54 What is 96264714 to the power of 1/3, to the nearest integer? 458 What is the square root of 183971813 to the nearest integer? 13564 What is the square root of 132379229 to the nearest integer? 11506 What is 6437553908 to the
{ "pile_set_name": "DM Mathematics" }
Let b(l) = -5*l**2 - 3*l. Suppose -5*o - 31 - 499 = 0. Let p = 110 + o. Let v(z) = -z**2. Give p*v(r) - b(r). r**2 + 3*r Suppose -4*a - 2*g - 1 = -25, -5*g = -3*a + 18. Suppose 20*d = 19*d + a. Let r(b) = b**3 + b**2 + b. Let z(s) = 4*s**3 + 6*s**2 + 6*s. Give d*r(o) - z(o). 2*o**3 Let q(g) = 4*g**2 - 3*g. Let j(h) = 3*h**2 - h. Let b(i) = 7*i**2 + 1. Let k(c) = -b(c) + 4*j(c). Calculate -2*k(r) + 3*q(r). 2*r**2 - r + 2 Let f(y) = -3*y**3 - 8*y**2 - 5*y + 76. Let l(q) = -q**3 - 2*q**2 - q - 1. Determine f(s) - 5*l(s). 2*s**3 + 2*s**2 + 81 Let m(j) = -3*j**2 - 2*j. Suppose 9*g + 23 = -22. Let y(w) = 7*w**2 + 5*w. What is g*m(c) - 2*y(c)? c**2 Suppose -i = 3*l - 5, 3*i + 2*i + 11 = 3*l. Let u(q) = 7*q - 3. Let f(n) = -3*n + 1. Give l*u(p) + 5*f(p). -p - 1 Let m(b) = -4*b**3 - 5*b**2 + 143. Let r(z) = -2*z**3 - 2*z**2 + 71. Calculate 2*m(h) - 5*r(h). 2*h**3 - 69 Let f(c) = 4*c + 13. Suppose -2*n - 21 = 2*v - 25, -5 = 5*v. Let r(k) = -k. Give n*r(d) + f(d). d + 13 Let i = 19 + -17. Let t(v) = 13 - 14 - v**i + 0*v**2 - v. Let q(r) = 2*r - 2*r**3 + 1 + 5 - 4 + 5*r**2. Calculate -q(l) - 2*t(l). 2*l**3 - 3*l**2 Let j(r) = 2*r**2 - 44 - 4*r**3 + 79 + 9*r - 40. Let n(i) = 2*i**3 - i**2 - 4*i + 2. Calculate -2*j(y) - 5*n(y). -2*y**3 + y**2 + 2*y Let q(k) = 529*k**2 - 18*k + 18. Let p(h) = -265*h**2 + 8*h - 8. Determine 9*p(m) + 4*q(m). -269*m**2 Let h(z) = -14*z**3 + 11*z**2 - 11*z + 73. Let j(p) = -3*p**3 + 2*p**2 - 2*p + 15. Determine -2*h(f) + 11*j(f). -5*f**3 + 19 Let q(m) = m**2 - 2*m. Let s(x) = x**2 - x. Suppose 0 = 6*h + 306 - 294. Suppose 2*c - 3 = -1. Determine c*q(k) + h*s(k). -k**2 Let r(i) = 14*i**3 - 2*i**2 - 6*i + 4. Let l(p) = -14*p**3 + 3*p**2 + 7*p - 5. Determine -4*l(y) - 5*r(y). -14*y**3 - 2*y**2 + 2*y Let r(d) = -85*d + 25. Let k(t) be the second derivative of -7*t**3/6 + t**2 + 69*t. Suppose 2*o + o + 75 = 0. Give o*k(g) + 2*r(g). 5*g Suppose -8*j + 149 = -75. Let z = j - 23. Let f(l) = -l**2 + 4*l - 4. Let u(s) = -s**2 + 5*s - 5. Give z*f(r) - 4*u(r). -r**2 Let w(g) be the first derivative of -1/3*g**3 + 5/2*g**2 - 5*g - 2. Let a(q) = 2*q**2 - 6*q + 6. Calculate 4*a(b) + 5*w(b). 3*b**2 + b - 1 Let y(l) = l - 1. Let b(c) = -7 + 10*c - 1 - 8 + 11. Calculate -b(m) + 5*y(m). -5*m Let r(q) = 2*q - 4 - 6*q + 9*q**2 + 13*q. Let x(g) be the second derivative of g**4/3 + 2*g**3/3 - g**2 - 352*g. Calculate -2*r(y) + 5*x(y). 2*y**2 + 2*y - 2 Suppose 285*n + 20 = 289*n. Let d(p) = 3*p**2 - 6*p - 8. Let h(s) = s**2 - s - 1. What is n*h(c) - d(c)? 2*c**2 + c + 3 Let z(h) = -2*h + 2. Let q be (-3 - (-20)/12)*12/(-2). Suppose -5*i = m - 4*m - 52, 0 = i + 4*m + q. Let w(o) = -5*o + 6. Give i*z(k) - 3*w(k). -k - 2 Let p(c) = 4*c**3 + 4*c**2 + 3*c + 3. Let k = -11792 - -11789. Suppose -5*t = -9 - 16. Let u(m) = 7*m**3 + 7*m**2 + 5*m + 5. Calculate k*u(r) + t*p(r). -r**3 - r**2 Let x(m) = 7*m**3 - 5*m**2 - m - 2. Let h(t) = -3*t**2 + 2 + 7*t**2 - 6*t**3 - 32*t + 33*t. Calculate -5*h(g) - 4*x(g). 2*g**3 - g - 2 Let j be 196/4 + (4 - 3). Let r = j + -51. Let o be (4/(-10))/((-2)/(-10)). Let c(f) = 4*f - 3. Let p(b) = -b + 1. Calculate o*p(a) + r*c(a). -2*a + 1 Let a(p) = -15*p + 25 - 25*p**2 - 8*p - 8*p + 4*p + 65*p**3 + 2*p. Let q(u) = 8*u**3 - 3*u**2 - 3*u + 3. What is -3*a(c) + 25*q(c)? 5*c**3 Let v = 3 + 3. Let l(i) = 3*i**3 - 6*i**2 + 17*i + 3. Let f = -1454 - -1471. Let h(t) = -t**3 + 2*t**2 - 6*t - 1. Calculate f*h(x) + v*l(x). x**3 - 2*x**2 + 1 Let p(t) = 10*t - 1. Let x(h) = -h. Let o(z) = 2*z**2 + 18*z - 14. Let a be o(-10). Give a*x(u) + p(u). 4*u - 1 Suppose -2*v + 22 + 0 = 0. Let r(s) = -4*s**3 + 14*s**2 + 11*s - 11. Let w(i) = -i**3 + 5*i**2 + 4*i - 4. Calculate v*w(j) - 4*r(j). 5*j**3 - j**2 Suppose 2*n = -4, -4*g + 0 - 14 = -n. Let f(c) = c - 3. Suppose -5*a + 4 = -6. Let v(p) = 8*p - 4*p - 3*p - a. Determine g*f(o) + 5*v(o). o + 2 Let f(i) = i + 66. Let y(j) = -2*j - 62. Calculate -2*f(u) - 3*y(u). 4*u + 54 Let v(g) = -1 - 148985*g + 9*g**2 + 148985*g. Let l(u) = -8*u**2 + 1. Determine 7*l(z) + 6*v(z). -2*z**2 + 1 Let w(z) be the third derivative of -13*z**5/30 + z**4/4 - 10*z**3/3 - 7*z**2 + 3*z. Let b(u) = 9*u**2 - 2*u + 7. What is -17*b(r) - 6*w(r)? 3*r**2 - 2*r + 1 Let q(l) = -6*l**3 - 2*l**2 - 3*l - 3. Let a(w) = -w - 1. Let i = -915 - -914. Calculate i*q(r) + 3*a(r). 6*r**3 + 2*r**2 Let w(z) = 0*z**2 - 1 - z - z**2 - 6*z**2 + 6*z**2 - 2*z**2. Let f(k) = 6*k**2 + 2*k + 2. Determine 4*f(u) + 7*w(u). 3*u**2 + u + 1 Let j(t) = 13*t**2 + 12 - 6*t**2 - 11*t**3 - 7. Let i(v) = 5*v**3 - 3*v**2 - 2. Suppose 2*y - 3*m = -4*m + 23, 4*y - 11 = 5*m. What is y*i(x) + 4*j(x)? x**3 + x**2 + 2 Let v(d) = 3*d - 2. Suppose 3*k + 26 = 29. Let x(b) = -b. Calculate k*v(o) + 4*x(o). -o - 2 Let v(q) = 7*q**3 + 3*q + 3. Let h(k) be the first derivative of 3*k**4/2 - k**3/3 + k**2 + 2*k - 299. What is 3*h(s) - 2*v(s)? 4*s**3 - 3*s**2 Let u(j) = -j. Let t(x) = -x**2 + 6*x - 6. Let p be t(5). Let s be p/(3/(-6)*-2). Let r(b) = b. Suppose -5*a = 7 + 13. Determine a*r(n) + s*u(n). -3*n Let n(g) be the first derivative of 2*g**2 - 6*g - 3444. Let a(v) = -v + 1. Let b(l) = -l**2 + 6*l - 6. Let t be b(5). What is t*n(r) - 3*a(r)? -r + 3 Let d(r) = r - 1. Let x(m) = -10*m - 6. Calculate 5*d(h) - x(h). 15*h + 1 Let a = 1674 - 1677. Let h(o) = 9*o**3 + 12*o**2. Let k(v) = v**3 + v**2. Calculate a*h(y) + 36*k(y). 9*y**3 Let j(y) = 6*y**3 + 2*y**2 - 7. Let h(o) = -29*o**3 - 11*o**2 + 36. Calculate -4*h(v) - 22*j(v). -16*v**3 + 10 Let a(b) = -14*b**3 + 2*b**2 + 6*b - 161. Let r(q) = 12*q**3 - 2*q**2 - 5*q + 160. Give -5*a(t) - 6*r(t). -2*t**3 + 2*t**2 - 155 Let f(k) = 53*k**3 + 2*k**2 - 2*k + 1. Let x(p) = 54*p**3 + 3*p**2 - 3*p + 1. Determine 3*f(z) - 2*x(z). 51*z**3 + 1 Let w(q) = -4*q**2 - 22*q + 20. Let c(a) = -2*a**2 - 11*a + 11. Calculate 11*c(x) - 6*w(x). 2*x**2 + 11*x + 1 Let p(h) = -13*h**2 - 16*h + 3. Let q(n) = -4*n**2 - 5*n + 1. Suppose -3*a - 2*d + 8 = 0, 25*d - 30*d + 3 = -a. Calculate a*p(l) - 7*q(l). 2*l**2 + 3*l - 1 Let r(k) = 9*k**3 - 5*k - 5. Let v(m) = -4*m**3 + 2*m + 2. Let q be 30/5 - (-2)/(-1). Suppose -q = 3*t - t. Give t*r(c) - 5*v(c). 2*c**3 Let i(h) = -3*h**2 - 7*h - 5. Let c(k) = 2433*k + 2*k**2 - k**2 - 2*k**2 - 2 - 2436*k. What is 7*c(a) - 3*i(a)? 2*a**2 + 1 Let d(q) = -9434*q - 9441*q + 18880*q. Let m = -17 + 9. Let w(b) = -8*b. Let r(p) = 33*p. Let j(x) = 5*r(x) + 21*w(x). Calculate m*j(k) - 5*d(k). -k Let f(y) = 6*y**2 + 3*y - 3. Suppose -18 = 14*i - 60. Let d(w) = -5*w**2 - 3*w + 2. Give i*f(g) + 4*d(g). -2*g**2 - 3*g - 1 Let k(d) = -2*d**2 - 2*d - 16. Let f(i) = 9*i**2 + 9*i + 78. Give 5*f(b) + 24*k(b). -3*b**2 - 3*b + 6 Let w(l) = 4*l**3 + 10*l**2 - 10. Let i(a) = 6*a**2 - 5*a + 4. Let o(g) = 7*g**2 - 6*g + 5. Let h(m) = 6*i(m) - 5*o(m). Give -30*h(f) + 3*w(f). 12*f**3 Let k(w) = -w**2 + 2*w + 1. Let x(a) = 23*a**2 - 22*a - 16. Calculate -22*k(i) - 2*x(i). -24*i**2 + 10 Let y(k) = -k**2 + 2*k - 2. Let m(b) = -2*b**2 - 1 - 9 + 3 + 4*b + 3 + 1. What is 6*m(z) - 11*y(z)? -z**2 + 2*z + 4 Let p(m) = -5*m**2 - 6. Suppose 0 = -5*v - 5, 0 = 3*q + 3*v + 35 + 4. Let z be q - -13 - (1 - -1). Let u(s) = s**2 + 1. Determine z*p(g) - 6*u(g). -g**2 Let w(u) = -13*u**2 - 3*u - 19. Let h(r) = -8*r**2 - r - 13. What is -8*h(l) + 5*w(l)? -l**2 - 7*l + 9 Let u(h) = -h**2 + 4*h + 67. Let l(p) = p. Determine 5*l(d) - u(d). d**2 + d - 67 Let n be (-2)/4 + (-60)/(-8). Let b(u) = 5*u**3 + 6. Let g(v) = v**3 - v. Let j(k) = 3 - 5 + 9 + 7*k**3 - k. Let f(y) = -g(y) + j(y). Determine n*b(i) - 6*f(i). -i**3 Let a(n) = 87*n - 521. Let x be a(6). Let b(k) = k. Let w(m) = -16*m. Suppose -5*q - 26 + 90 = 4*f, -3*q = -2*f - 34. Calculate q*b(r) + x*w(r). -4*r Let u be 3/(-6) + (-10)/(-4). Let i(l) = -2*l + 3. Suppose 0 = 3*c + 2*c - 240. Let p(g) = 50*g - 2 + 0 - c*g. What is u*i(f) + 3*p(f)? 2*f Let d be -1*((3 - 4) + -1). Let v(k) = -k. Let n(u) = 1205 - 7*u - 1205. Give d*n(l) - 10*v(l). -4*l Let r(t) = -3*t - 1. Let d(n) = 16*n**2 + 14*n + 4. Give -d(g) - 5*r(g). -16*g**2 + g + 1 Let m(i) = -28*i - 2. Let b(w) = -533*w - 39. What is -4*b(r) + 78*m(r)? -52*r Let y(v) = -24*v**3 + 7*v**2 + 1. Let n(t) = -t**2. Calculate 4*n(f) + y(f). -24*f**3 + 3*f**2 + 1 Let w(l) = -2*l**3 + 12*l**2 + 2. Let z(k) be the third derivative of -k**6/120 + 11*k**5/60 + k**3/3 +
{ "pile_set_name": "DM Mathematics" }
- b**3 + 2*b**3 - 3*b**3 + b**3 + 6*b**3 + 2*b**3 to i*b + s*b**3 + g*b**2 + h and give s. 3 Express -10*g**3 + 2*g**3 - 2 + 3 as l*g + b + x*g**3 + f*g**2 and give x. -8 Rearrange r + 13 - r**2 - r**3 + 18 - 32 + 8*r**3 to the form s*r**3 + l + q*r**2 + h*r and give q. -1 Rearrange 4*m**3 - 7*m**3 + 0*m - 5*m to j*m + b*m**2 + p*m**3 + g and give g. 0 Rearrange (w**2 - 3*w**2 + 4*w**2)*(-4 - 2 - 2)*(3 + 1 - 3) to a*w**2 + d + f*w and give a. -16 Rearrange (-1 - 2 - 1 + (-3 - 3 + 3)*(1 - 2 + 3))*(0 - 3*w + 0)*(w + 3*w - 5*w)*(2 - 5 + 0) to c + d*w**2 + o*w and give d. 90 Express -w + 8*w + 8*w in the form u*w + n and give u. 15 Rearrange (-4 + 18 - 11)*(-3*q**3 + 7*q**3 - 2*q**3) to the form w*q**3 + g*q + p + m*q**2 and give w. 6 Express 1 - 63*p**3 - p + p + 95*p**3 in the form t*p**3 + u*p + k + c*p**2 and give k. 1 Rearrange (-4 + 4 - 2*o)*(3*o - 3*o**2 - 3*o) to the form c*o + p*o**2 + z + j*o**3 and give j. 6 Rearrange -5*n**3 + 5*n**3 - 97 + 3*n**2 + 100 + n + n**4 to a*n + g*n**2 + t*n**4 + x + l*n**3 and give a. 1 Express 6*b**3 - b**2 - 4*b**2 - 5*b**3 + b**2 as g*b + z*b**3 + d*b**2 + k and give z. 1 Express -157*f**2 + 157*f**2 + 7*f**3 + 2*f in the form k + i*f**3 + a*f + c*f**2 and give i. 7 Express 0 + 2*t + 0 + (-5*t + 3*t - 14*t)*(-1 + 2 + 1) + t - 3*t - 2 + 3 as v + c*t and give v. 1 Rearrange (1 - 1 - f**2)*(7 + 4 - 15)*(4*f - 3*f - 2*f) to the form h*f + c*f**3 + u*f**2 + w and give c. -4 Rearrange p + 24*p**2 + p - 2*p to the form s*p + f*p**2 + v and give v. 0 Express 132*y - 76*y - 78*y + y**2 as k*y + x + a*y**2 and give a. 1 Express 10 + 30*h**3 + 9 - 17 as u*h**3 + a*h**2 + k + n*h and give u. 30 Express 40*k**2 + 23*k**2 - 28*k**2 in the form o + z*k + h*k**2 and give h. 35 Express (-1 + 1 + c)*(-c**3 + 2*c**3 - 3*c**3)*(-14 - 11 + 5) in the form p*c**2 + y + d*c**3 + r*c + m*c**4 and give m. 40 Express -1 + 327*t - 33*t**4 - 327*t + (2*t**4 - 4*t**4 + t**4)*(0 - 2 + 1) as w*t + i*t**4 + o*t**3 + b + p*t**2 and give b. -1 Rearrange (10281*y**3 + 10 + 3 - 10288*y**3)*(-2 + 2 + 2*y) to c*y + z*y**2 + a*y**3 + k*y**4 + j and give z. 0 Express (5 - 4 - s + 2*s)*(13*s - 13*s - 2*s**2) as q*s + n + o*s**3 + p*s**2 and give p. -2 Express (-1 + 2 - 5)*(3 - 4 - 1)*(5*a**2 - 3*a**2 + 0*a**2) as g*a + b*a**2 + n and give b. 16 Express (-3*i + 4*i - 3*i + (-i + i - i)*(2 - 1 + 0) - 3*i + 5*i + 6*i)*(-10*i + 11*i + 12*i) as u + b*i + r*i**2 and give r. 65 Rearrange (4 + 2*r**3 - 7 + r + 6)*((-3 + 0 + 1)*(-5*r + 5*r + 3*r) + 4*r + 0*r - 3*r) to the form o*r**2 + p*r + u*r**3 + j + s*r**4 and give p. -15 Rearrange -5 + v**3 - 2*v**3 - 4 to the form b*v + n + a*v**2 + z*v**3 and give n. -9 Express -2*v**3 - 2 + 1 + 2*v**4 - 2 in the form z + d*v**4 + h*v**3 + b*v**2 + t*v and give h. -2 Express -8*p + 5 - 6*p + 6*p - 6 in the form k*p + g and give g. -1 Express -f**4 - 2*f - 4*f + 1 + f**3 + 3*f - 2*f**3 in the form o*f**2 + u*f**3 + y + j*f + t*f**4 and give u. -1 Express (1 - 4 - 2)*(23 - 11*m**4 - 8*m**4 + 17*m**4) as d*m**2 + x*m**4 + c*m + g*m**3 + s and give s. -115 Rearrange (5*f - 4*f - 13 - 3*f)*(0 - 1 + 4) to l*f + q and give q. -39 Express ((0 + 2 + 2)*(4 - 2 - 1) - 4 + 0 + 2)*(h - h - h**2) in the form o*h**2 + u + q*h and give q. 0 Express 2*m**3 - 4*m + 0*m + 2*m**2 - 4*m**3 + m in the form n*m**2 + o*m + l + v*m**3 and give n. 2 Express -7*k**4 + k - 4*k**3 + 2*k**4 + 5*k**3 + 0*k**4 as w*k**3 + f*k**2 + o + p*k + c*k**4 and give w. 1 Rearrange s**2 - s**2 + 8*s**2 to the form j*s**2 + l*s + y and give j. 8 Rearrange -3*y**2 - 2*y**4 + 1 - y - 2*y + 2 - 1 to the form o*y**3 + w*y**4 + t*y**2 + b + i*y and give i. -3 Express 2*m - 5*m + m + (2*m + 3 - 3)*(-2 + 2 + 2) + m - 1 - 3 + 1 + 2 - 4*m - 2 in the form v + s*m and give s. -1 Rearrange -3 + 3 + 1 - 16*f**2 + 7*f**2 to g*f + i*f**2 + x and give x. 1 Express -4*v**4 + 0 - 2 + 2*v**4 - 3*v**2 + (4*v**2 - v**2 - 5*v**2)*(19*v**2 + 675 - 675) as m*v**3 + u*v**2 + q*v + x*v**4 + b and give b. -2 Express -4*d**3 + 6*d**3 - 1 - 2*d**4 - 1 - d**2 + 5*d**2 in the form c + m*d**4 + a*d**2 + s*d**3 + f*d and give m. -2 Express -m**4 - 3*m**4 + 5*m**4 + (m**3 + 4*m**3 - 2*m**3)*(2*m - 4*m + m) + 5*m - 3*m - m**4 - 6*m**4 as z + p*m**3 + k*m**2 + a*m**4 + x*m and give p. 0 Rearrange (0*x - 3*x + 5*x)*(4 - 1 - 1)*(6*x - 4*x + 7 - 23) to c + k*x**2 + j*x and give c. 0 Express 4*d**3 - 4*d**4 + 7*d**4 + 1 - 5*d**4 + (d + 2*d - 2*d)*(12*d**3 + 8*d**3 + 0*d**3) as s*d + i*d**4 + a + f*d**3 + h*d**2 and give i. 18 Rearrange -13*i**4 - 6*i**4 - 4*i**4 + (6 + 6*i**3 - 6)*(i + i - 3*i) to p*i**3 + h*i**2 + z*i**4 + s*i + m and give z. -29 Rearrange -2*o**3 + 2 + o**3 - o**2 + 2*o**3 - 3*o**3 to n*o**3 + y + r*o + v*o**2 and give n. -2 Express -8*u**2 + 8*u**2 - 4*u**3 + (u + u**2 - u)*(0 + 2*u + 0) as t*u**3 + l + r*u**2 + v*u and give t. -2 Rearrange -2*z - z**3 + 2*z**3 + 13*z**2 + 1 + 4*z + 27*z**4 - 15*z**2 to the form o + r*z**2 + h*z**3 + l*z + u*z**4 and give h. 1 Rearrange 3 + 13*f**3 - 8*f**3 - 9*f**3 to x + l*f**3 + b*f**2 + d*f and give x. 3 Rearrange -350*y + 351*y - 12 + 2*y**2 - y**2 to the form j + q*y**2 + r*y and give q. 1 Express (17*m + 14*m - 19*m)*(-1 - 3 + 5) + 4 + 4 - 6 + m as f*m + i and give i. 2 Express 82*u + 4*u - 6*u in the form m*u + z and give m. 80 Rearrange (-17 - 10 - 1)*(-z**2 + 4*z**2 - 4*z**2) to g*z + s + b*z**2 and give b. 28 Express -2*c**2 - 4 + 1 - 3*c**3 + 0 + c**3 as v*c**2 + h*c**3 + m + f*c and give m. -3 Rearrange -4 + j**3 + 103*j**3 + 6 to q*j + r*j**3 + b + f*j**2 and give b. 2 Rearrange 19*c**2 + 7*c**2 + 13*c**2 + 25*c**2 to the form x*c + v + m*c**2 and give m. 64 Rearrange (1 - 1 - 2*l)*(33 + 3 + 18) to j*l + s and give j. -108 Express (1438*j - 1438*j - 38*j**3 + (-2*j - 2*j + 2*j)*(2*j + j**2 - 2*j))*(2 - j + 3*j + 2*j) in the form w + t*j**4 + i*j + r*j**3 + x*j**2 and give t. -160 Express (-r - 1 + r**2 - 4 + 3)*((5*r + 0*r - 3*r)*(r - 1 + 1) - 2*r**2 - 2*r**2 + 0*r**2) as v*r**4 + t + f*r**3 + c*r + p*r**2 and give f. 2 Express -3*l**2 + 3*l**3 + l - 2*l**4 + 7*l**3 + 0*l**2 in the form u*l**2 + f + r*l**4 + g*l**3 + y*l and give u. -3 Express x + 2*x**3 + x + 2*x**2 + x**2 - 2*x**2 + 2*x**4 + 2 in the form g*x**4 + a*x**3 + f + m*x**2 + p*x and give g. 2 Rearrange -c**2 + 3*c**2 - 2*c**3 + 0*c**2 + (-c**3 + 4*c**3 - 4*c**3)*(-5 + 24 + 7) to i + f*c**3 + j*c + q*c**2 and give f. -28 Rearrange (4 - 5 + 6)*(2 + 1 + 0)*(4*q**3 + 7*q**3 - 41*q + 43*q) to m*q**3 + b*q + z + y*q**2 and give m. 165 Express (1 + 3 - 3)*(-4 + 3 - 4)*(-4 - 2*s**3 + 4) as j + c*s**3 + t*s + n*s**2 and give c. 10 Express (-4*n + 4*n + 5*n)*(3 - 5 + 1)*(-1 + 1 + 2*n) as k*n**2 + w + l*n and give k. -10 Rearrange 7*o - 7*o + 2*o**2 + 3 + (3 + 2*o - 3)*(3*o - 5*o + 3*o) + 3*o**2 + o**2 - 2*o**2 to n*o**2 + v + f*o and give n. 6 Rearrange -5*a - 6 + 0*a + 6*a - 7 to t*a + o and give o. -13 Express (0 + 0 - x)*(0*x**2 + 3*x**2 - 2*x**2) - x**2 + x**2 + 3*x**3 - 7 - 4 + 13 - 3*x + 3*x**3 + 2*x - 2*x**3 - 2*x as a + i*x**3 + c*x**2 + v*x and give v. -3 Rearrange 4*c - 1 + 1 - 6*c to the form h*c + a and give h. -2 Express -14*i + 4 + 21*i - 10*i + 5 as p*i + q and give p. -3 Rearrange i**2 + 6*i**4 - i - 3*i**4 - 2*i**4 to the form x + n*i**2 + y*i**3 + l*i**4 + j*i and give n. 1 Express (-j**2 - j + j)*(-5 + 3*j + 0 - 2*j) as y + x*j + g*j**2 + t*j**3 and give g. 5 Rearrange 1 + y**4 + 3*y**3 - 10*y + 10*y - 5*y**4 to k*y + b*y**4 + o*y**2 + x + p*y**3 and give b. -4 Express 28*p - 1 + 29*p + 0*p - 13*p in the form j + d*p and give d. 44 Express q**2 + 2*q**4 - 167*q**3 - q**4 + 169*q**3 in the form z*q**2 + d + f*q + j*q**3 + u*q**4 and give z. 1 Express -1 - 10*t**2 + 11*t**2 + 2*t**2 + 7 in the form q*t**2 + x + i*t and give x. 6 Rearrange 120*s - 88*s - 120*s to the form j*s + q and give j. -88 Rearrange 5*l + 1 - 23*l + 6*l - 2*l**4 + 2*l**2 - l**3 + 7*l to the form t*l + g + b*l**3 + z*l**4 + r*l**2 and give t. -5 Rearrange (-3*h**4 - 8*h**4 + 5*h**4)*(-12 + 7 + 16) to the form a*h**3 + y*h**4 + d + q*h**2 + v*h and give y. -66 Rearrange (0*q + 2*q + 0*q)*(1 + 2 - 2)*(-6 + 7 - 4) + (3*q + q - 2*q)*(2 - 1 + 1) to a*q + y and give a. -2 Rearrange -4*o**4 - 3*o + 2*o**4 + 1 + 5*o**2 + 3*o - o to z*o**4 + y*o + h + i*o**3 + n*o**2 and give n. 5 Rearrange -
{ "pile_set_name": "DM Mathematics" }
replacement from tptp? 1/6 Three letters picked without replacement from {h: 3, j: 1, t: 3, u: 5}. Give prob of sequence htu. 3/88 Two letters picked without replacement from {a: 2, z: 2, b: 2, u: 2}. What is prob of sequence uu? 1/28 Three letters picked without replacement from upeuuwiqipewuewi. What is prob of sequence iwu? 3/280 Three letters picked without replacement from {d: 4, q: 2, w: 1}. Give prob of sequence qwq. 1/105 Calculate prob of sequence sks when three letters picked without replacement from kskkkkksk. 1/36 Four letters picked without replacement from cggokppk. Give prob of sequence kpog. 1/210 Calculate prob of sequence ata when three letters picked without replacement from {a: 9, t: 3}. 9/55 Three letters picked without replacement from {d: 5, h: 2, r: 3}. What is prob of sequence rhh? 1/120 Four letters picked without replacement from {x: 2, t: 8, h: 2, f: 4}. What is prob of sequence ffft? 2/455 Two letters picked without replacement from mawamw. Give prob of sequence aa. 1/15 Two letters picked without replacement from {w: 1, d: 3}. Give prob of sequence wd. 1/4 What is prob of sequence zyn when three letters picked without replacement from zhyneyzn? 1/42 Four letters picked without replacement from ssggsgsgggggs. What is prob of sequence sggg? 14/143 Calculate prob of sequence fffa when four letters picked without replacement from {f: 3, a: 4, k: 1}. 1/70 Four letters picked without replacement from {y: 1, q: 3, w: 1, x: 2}. What is prob of sequence qwqy? 1/140 Calculate prob of sequence tmm when three letters picked without replacement from mttttm. 1/15 What is prob of sequence oy when two letters picked without replacement from yyyoyboioyybbyoibyb? 16/171 Calculate prob of sequence gi when two letters picked without replacement from {i: 6, c: 9, n: 2, g: 2}. 2/57 Two letters picked without replacement from honwn. What is prob of sequence wh? 1/20 What is prob of sequence dt when two letters picked without replacement from ddjjddddtdtddjd? 2/21 Two letters picked without replacement from nnngnnnnkxnkgnnnmnk. Give prob of sequence xm. 1/342 What is prob of sequence gxxx when four letters picked without replacement from xxxxxxxxxgxxxxxxxx? 1/18 Two letters picked without replacement from {n: 1, l: 2}. Give prob of sequence ln. 1/3 What is prob of sequence pp when two letters picked without replacement from ppepmopd? 3/14 Four letters picked without replacement from {p: 2, i: 1, z: 4, r: 3, s: 1, k: 1}. What is prob of sequence irsz? 1/990 Four letters picked without replacement from mmimmmimmmimim. What is prob of sequence imim? 45/1001 What is prob of sequence ba when two letters picked without replacement from bbaxeqx? 1/21 Two letters picked without replacement from pcccppp. What is prob of sequence cc? 1/7 Three letters picked without replacement from hhowwaanah. Give prob of sequence whn. 1/120 Two letters picked without replacement from zbhbzahhoohbhohodzo. Give prob of sequence ao. 5/342 Three letters picked without replacement from mmvvymvymm. What is prob of sequence mvy? 1/24 Two letters picked without replacement from ttttzzzfffftttqzwq. What is prob of sequence wq? 1/153 Four letters picked without replacement from {p: 5, s: 1, d: 5, z: 3, x: 1}. Give prob of sequence pdzs. 5/2184 Two letters picked without replacement from mmeeeeeheeeehekmmme. What is prob of sequence km? 5/342 What is prob of sequence xhhh when four letters picked without replacement from {h: 8, o: 3, x: 5}? 1/26 Three letters picked without replacement from ngagjggeeananeeneaa. Give prob of sequence gjn. 8/2907 Calculate prob of sequence go when two letters picked without replacement from zopgf. 1/20 Three letters picked without replacement from {k: 1, v: 7}. Give prob of sequence vvk. 1/8 Calculate prob of sequence iqxi when four letters picked without replacement from {e: 1, x: 9, q: 2, i: 4}. 9/1820 Two letters picked without replacement from {i: 12, c: 3, j: 2, b: 3}. What is prob of sequence cc? 3/190 Calculate prob of sequence mmo when three letters picked without replacement from {m: 4, o: 1, x: 2, p: 2}. 1/42 Calculate prob of sequence igg when three letters picked without replacement from {g: 3, i: 4}. 4/35 Three letters picked without replacement from mhs. Give prob of sequence shm. 1/6 Two letters picked without replacement from edsdssssddeds. What is prob of sequence ed? 5/78 What is prob of sequence qe when two letters picked without replacement from {q: 2, e: 8}? 8/45 Three letters picked without replacement from ilial. What is prob of sequence iai? 1/30 Calculate prob of sequence xa when two letters picked without replacement from {x: 2, m: 1, a: 3, t: 4, g: 4}. 3/91 What is prob of sequence ii when two letters picked without replacement from {i: 6, k: 2, l: 1, u: 1, m: 2}? 5/22 Three letters picked without replacement from ccrijirpjorrrrcirj. Give prob of sequence pij. 1/544 What is prob of sequence wh when two letters picked without replacement from wppphrhwhwqqlr? 9/182 Two letters picked without replacement from zjzzzjzz. Give prob of sequence jj. 1/28 Calculate prob of sequence zhc when three letters picked without replacement from hhghhhhgchnnzhehzhh. 11/2907 What is prob of sequence fzs when three letters picked without replacement from {f: 2, d: 1, a: 2, s: 2, z: 1, u: 1}? 1/126 Two letters picked without replacement from bbigggggbiggbgbbg. What is prob of sequence ii? 1/136 Three letters picked without replacement from {q: 3, y: 3, m: 2, f: 7}. What is prob of sequence fqq? 1/65 Two letters picked without replacement from xddylow. What is prob of sequence xd? 1/21 What is prob of sequence llbl when four letters picked without replacement from llllbbbl? 3/28 Calculate prob of sequence pbp when three letters picked without replacement from {b: 3, c: 6, p: 6}. 3/91 Two letters picked without replacement from {k: 1, d: 1, i: 2, l: 2}. What is prob of sequence dl? 1/15 What is prob of sequence rror when four letters picked without replacement from ooroorrroorroooooo? 1/51 What is prob of sequence fftq when four letters picked without replacement from zzfzacfczqctaff? 1/2730 Four letters picked without replacement from {d: 6, v: 7, o: 3, m: 1}. Give prob of sequence ovvo. 3/680 Calculate prob of sequence bvw when three letters picked without replacement from {h: 7, w: 4, v: 3, b: 5}. 10/969 Calculate prob of sequence sv when two letters picked without replacement from {u: 2, p: 1, z: 1, s: 6, v: 3}. 3/26 What is prob of sequence ol when two letters picked without replacement from llollllllllll? 1/13 Four letters picked without replacement from wwpmwwwwyrrwmmwwyrr. What is prob of sequence pwyy? 1/5168 Calculate prob of sequence pe when two letters picked without replacement from {e: 1, k: 10, x: 2, p: 3, o: 1}. 3/272 What is prob of sequence qcv when three letters picked without replacement from qqcvvqqqqqqvqvqqvvvv? 11/855 Two letters picked without replacement from {z: 1, e: 9, q: 2, v: 3, d: 2}. What is prob of sequence ve? 27/272 Four letters picked without replacement from {b: 2, o: 4}. What is prob of sequence booo? 2/15 What is prob of sequence rrrr when four letters picked without replacement from rrrr? 1 What is prob of sequence ksk when three letters picked without replacement from sssssssskksssssssssk? 17/1140 Three letters picked without replacement from {r: 1, e: 2, l: 2}. What is prob of sequence eer? 1/30 What is prob of sequence kq when two letters picked without replacement from {v: 3, k: 2, p: 1, s: 5, q: 7}? 7/153 What is prob of sequence dy when two letters picked without replacement from dnffdhyddyfyy? 4/39 What is prob of sequence xdrd when four letters picked without replacement from {d: 2, x: 15, r: 3}? 1/1292 Calculate prob of sequence ag when two letters picked without replacement from {f: 8, g: 2, a: 2}. 1/33 Two letters picked without replacement from iikmiimimmmiikmmimm. What is prob of sequence ii? 28/171 What is prob of sequence vow when three letters picked without replacement from {w: 13, n: 2, o: 1, v: 3}? 13/1938 Two letters picked without replacement from xtkxxttxkkxxtktx. What is prob of sequence kt? 1/12 Four letters picked without replacement from xxxwwx. What is prob of seque
{ "pile_set_name": "DM Mathematics" }
*y*y**(1/9)) assuming y is positive. y**(-3413/2448) Simplify ((m/m**(4/11)*m**(2/7))/(m/(m*m**(2/15)/m)*m**(-1)*m*m*m))**(-26) assuming m is positive. m**(58396/1155) Simplify (t/(t**(17/6)*t)*t**17)/(t**(-1/27)*t*t**(-2/39)) assuming t is positive. t**(9305/702) Simplify (k**(-3)/(k/((k/k**(2/79))/k)))**(-7) assuming k is positive. k**(2226/79) Simplify (t/(t/(t*t*t**(-4/7)*t*t)))**(-33/4)/(t**(-5/2)*t)**9 assuming t is positive. t**(-207/14) Simplify (((d*d*d**(-1/2)*d*d*d)/(d/(d*d**(1/5))))**25)**(-7) assuming d is positive. d**(-1645/2) Simplify (n**(-11/2))**(1/7)/(n/(n*n**1/n*n))**(-13/5) assuming n is positive. n**(-237/70) Simplify (k**(-8)*k*k**7)/(k**(4/3))**(2/3) assuming k is positive. k**(-8/9) Simplify ((a*a/(a/(a**(2/3)/a)*a)*a)**(-13)*(((a/(a/(a**(-2)/a*a*a*a)))/a*a*a*a)/a)/a*a*(((a*a**4)/a*a)/a)/a)**(-22/5) assuming a is positive. a**(308/15) Simplify (w**(-16)*w)**(-1/41)/(w**(-3/17)*w**(4/9)) assuming w is positive. w**(614/6273) Simplify v*v**(3/14)*v*v*v/(v*v**(-21))*((v*v*v*v*(v/v**(-2/5))/v*v*v)/v)**(2/7) assuming v is positive. v**(1803/70) Simplify (((q*q**(2/17))/q*q*q*q**(-8)*q)**17)**(-11) assuming q is positive. q**913 Simplify (h*h*h**3*h**(-1/11))/(h/(h/((h*h*h**(5/2)*h)/h)))**(-1/18) assuming h is positive. h**(227/44) Simplify ((r**17*r*r)/r*r**(-12/11))/((r/(r/(r**(3/2)/r)*r*r*r))/r**(-7/3)) assuming r is positive. r**(1127/66) Simplify v**(2/21)*v**(-2)*(v/v**12)**(1/17) assuming v is positive. v**(-911/357) Simplify ((i**(-4/5)/i*i*i)/i*i*i)**(-1/56)/(i*(i*i/(i*i**(-15/2))*i)/i*i/i**(-3/2)) assuming i is positive. i**(-1683/140) Simplify (f**(2/33)/f)/f**(-11/5)*f**(-19)/f**(2/9) assuming f is positive. f**(-8891/495) Simplify (y**27/y**(-4))/(y**(6/17)/y**3) assuming y is positive. y**(572/17) Simplify (n*(n/(n**1*n))/n*n)**(-7/3)*(n**(-3/2))**15 assuming n is positive. n**(-45/2) Simplify (l**(7/6)*l**(-29))**(-5/3) assuming l is positive. l**(835/18) Simplify ((m**(-2/3))**6)**(19/3) assuming m is positive. m**(-76/3) Simplify (z/z**(-11))**(-45)/((z/((z*((z*z*z**(-8))/z)/z)/z))/(z/z**(4/5))) assuming z is positive. z**(-2744/5) Simplify (j**(12/5)/j*j)/j*j/(((j/(((j**17*j)/j*j)/j)*j)/j)/j)*j*j**3*j**14 assuming j is positive. j**(187/5) Simplify (j*j**11)/(j**(-15)*j)*(j**(-1/24)*j*j)/j**(-3/4) assuming j is positive. j**(689/24) Simplify ((d**1)**(-26)/((((d/(d*d/d**(-1/2)))/d)/d)/d*((d/(d/((d**(2/7)*d)/d)))/d)/d))**(-2/51) assuming d is positive. d**(277/357) Simplify ((d*d**(-19)/d)/(d*d/((d/((d/d**21)/d))/d)))**(-16) assuming d is positive. 1 Simplify (p**1/p)/(p/p**(1/17))*p**(-2/21)/(p**(1/5)/p) assuming p is positive. p**(-422/1785) Simplify z*z**6*z**2*z**(-3)*z*z**(-4) assuming z is positive. z**3 Simplify (o*o**(9/5)*o*o*o/(o/o**(-9)*o*o*o))/(o*(o*o*o*o*o**(3/8)*o*o*o)/o)**25 assuming o is positive. o**(-7663/40) Simplify ((c*c**(-6/7)/c*c)/c)**(2/99)/((c/c**4)/(c/c**(1/14))) assuming c is positive. c**(1807/462) Simplify (((v*(v*v/v**1*v)/v)/v*v)/v**(-3))/(v**(-4)/v)**23 assuming v is positive. v**120 Simplify (u**21/u**20)/(u*u/(u*(u*((u**(-4/7)/u)/u)/u*u)/u)*u*(u**(-4/3)*u)/u*u) assuming u is positive. u**(-68/21) Simplify (i**5*i**(-3/8))/(i/i**(-12))**(-5) assuming i is positive. i**(557/8) Simplify (w**21*w)/w**(-10/9)*(w*w/w**(-4/9))**5 assuming w is positive. w**(106/3) Simplify ((f**(1/3)/f)/f)**(-12/19)/(((f/(f*f**(-5/3)))/f)/((f/((f/(f*f/f**12))/f)*f)/f)) assuming f is positive. f**(-491/57) Simplify (t*t*t*(t/(t*t**(-3/4)*t))/t*t*t)**16*t**(-1/22)*t*t*t**(-18)*t assuming t is positive. t**(989/22) Simplify ((w/w**(2/7))/(w/(w*w*w*(w/w**5)/w*w*w*w))*(w*w**(1/2))**(2/9))**26 assuming w is positive. w**(572/21) Simplify (l*l**(-7)/l)**(-28)*l**(4/11)*l/(l*l**(4/11)) assuming l is positive. l**196 Simplify (((i/i**(-1/12))/i)/i)/((i*i**(3/4))/i)*(i/(i*i/i**(-2/11))*i)/i**(10/7) assuming i is positive. i**(-757/231) Simplify (a**(-3/4)*((a**(-22/7)*a)/a)/a)/(a**(-3)*a)**(-2/3) assuming a is positive. a**(-523/84) Simplify (z**(-8)*z/(z**(-6)*z)*z*z)/(z**(-1/2))**(2/15) assuming z is positive. z**(1/15) Simplify j**24*j*j*j**(-18)*((j**(5/8)/j)/j)/j*j/(j**(-20)/j)*j assuming j is positive. j**(229/8) Simplify ((m*((m/m**(-2/5))/m)/m)**27/(m**(-1/2)/m)**(-37))**(-41) assuming m is positive. m**(18327/10) Simplify (l**(-1/2))**(-34)/(l**(1/16)*l*l*l)**(3/22) assuming l is positive. l**(5837/352) Simplify ((q**(-6)*q)/q*q)**(-3/38)/(q*q**(-1/5))**(-10) assuming q is positive. q**(319/38) Simplify ((h/h**(3/8))**(1/5))**(-27) assuming h is positive. h**(-27/8) Simplify ((w**(2/7))**22*(w**(1/3))**(-7))**(10/7) assuming w is positive. w**(830/147) Simplify (((m*m**(1/4)*m)/m)/(m/m**(1/11)))/(((m*m*m/(m**(-15)/m))/m)/(m*m**(-13))) assuming m is positive. m**(-1305/44) Simplify (((z**7/z)/z**(8/3))/(z**(-1/13)/z**(-1/14)))**(2/11) assuming z is positive. z**(1823/3003) Simplify g**(-1/2)/g**(-1/8)*g*g*(g/(g/g**(-2/9)))/g*g*g/g**(-12) assuming g is positive. g**(1037/72) Simplify y**4/(y/(y/y**(1/2)*y))*(y*y*(y/((y*(y**17/y*y*y)/y*y)/y))/y*y*y)**43 assuming y is positive. y**(-1195/2) Simplify (w/w**(-21))/(w*w**(1/2))*w**22*(w*w*w**1*w*w)/w assuming w is positive. w**(93/2) Simplify (a**(3/4))**(1/6)/((a*a**(-14))/a)**37 assuming a is positive. a**(4145/8) Simplify (c**(-3/17)*(c**27/c)/c)**(1/66) assuming c is positive. c**(211/561) Simplify ((h**(11/5)/h*h)/h*h**(1/12))/(h*h**(2/27))**(-4/21) assuming h is positive. h**(16873/11340) Simplify ((f/(f**(-1/3)/f))**(-40)/((f*f**0)/f**(-4/9)))**47 assuming f is positive. f**(-40091/9) Simplify (t/t**8)/(t/(t*t**11))*t**(-13)*t*t*t**(1/10) assuming t is positive. t**(-69/10) Simplify (o*o**(7/4)*o/((o/((((o*(o**(-3)*o)/o)/o)/o)/o*o)*o)/o))/(o**(-3)*o)**(-12/13) assuming o is positive. o**(-161/52) Simplify (b*b/(b*b/(b/(b**(12/11)/b)*b)))/b**(-3/10)*(((b/b**(-1)*b)/b)/b)**(1/6) assuming b is positive. b**(392/165) Simplify ((w**2/w*w**(2/9))**48)**32 assuming w is positive. w**(5632/3) Simplify (p**(1/2)/(p**(-3)/p))/(p**(20/9)*p*p**(-2/23)/p) assuming p is positive. p**(979/414) Simplify (f/(f/((f*f**7)/f)))/(f/(f**(-10)/f))*(f/f**(-4))/f**(1/9) assuming f is positive. f**(-1/9) Simplify ((k/(k*k*k*k/((k/k**6)/k)))/k**(2/5)*k**(-2/3)*k*k*k/(k/k**(-1/2)))**(-38) assuming k is positive. k**(4883/15) Simplify (a*a**(-2/9)/a*a*a)**(3/34)*(a**(5/3)*a)/(a*a**4) assuming a is positive. a**(-37/17) Simplify (h**(-2/69)*h)/h*h**(-13)*(h*h**(-5)*h*h)**(-5/2) assuming h is positive. h**(-554/69) Simplify (d**(-5)*d*d**(-4)*(d**(1/3))**(25/2))**(-5/8) assuming d is positive. d**(115/48) Simplify (((s**1/s*s*s)/s*s)**(-33)/(s*s**(-1)*s)**(1/24))**(-18) assuming s is positive. s**(4755/4) Simplify ((o/(o/o**(-17/5))*o**(-2/15))**(-2/49))**(-24) assuming o is positive. o**(-848/245) Simplify (s**(-1/2))**(-1/37)*s**(17/2)/((s**(1/21)*s)/s*s) assuming s is positive. s**(5801/777) Simplify (t*t**(1/10)*t**(-2/3)*t)/(t**(-2/13))**10 assuming t is positive. t**(1159/390) Simplify (v*v*v/v**9*v)/(v**(-3)*v*v*v)*(v*v**4)/(v/(v*v**3*v)) assuming v is positive. v**4 Simplify ((s**4/s)/((s/(s*(s/((s*s*s**(-9))/s*s)*s)/s))/s)*(s**(2/5)/s)**47)**(-28) assuming s is positive. s**(2268/5) Simplify d**(-6)*d**(-13)/d*d*d*d/(d/d**(-4/7))*d**4/d*d assuming d is positive. d**(-102/7) Simplify (w**3)**26*w*w/((w/(w**(-9)*w))/w)*w*w**(-12)*w assuming w is positive. w**62 Simplify ((b*b**(6/5)*b)**(4/3))**(-27) assuming b is positive. b**(-576/5) Simplify (c/c**(1/10)*c*c*(c/c**(2/29))/c*c*c)**(-2) assuming c is positive. c**(-1401/145) Simplify c**(9/4)/((c*c**15*c*c)/c)*(c*c**13)/c**2 assuming c is positive. c**(-11/4) Simplify (z*z**(2/15))/(z/z**(-13))*(z*z/((z*z**(-1))/z))/(z/(z/(z*z/(z*(z**(-5/3)/z*z)/z*z)))) assuming z is positive. z**(-188/15) Simplify (b**6*b/b**0)/(b/(b/(b/b**(-3/2))*b))**(-1/14) assuming b is positive. b**(199/28) Simplify c**(-2/11)/(c*c**12)*(c*c**27)/(c**(11/6)/c) assuming c is positive. c**(923/66) Simplify (j/((j/j**13)/j))**(-19)/(((j**(2/21)/j*j)/j)/j)**(-49) assuming j is positive. j**(-1078/3) Simplify (o**(1/3))**(-17/3)/((o*o**6/o)/(o*o*o**(1/4)*o)) assuming o is positive. o**(-167/36) Simplify (a/a**(2/13))**(4/7)*(a**(-1/19)*a*a)/(a*a**(2/11)*a*a*a) assuming a is positive. a**(-33301/19019) Simplify ((m**(13/5)*m*m*m)/(m/((m**(-3)*m)/m*
{ "pile_set_name": "DM Mathematics" }
27 for n. -17 Solve -2640*t = -2641*t - 11*x + 37, -6*x + x - 1 = 3*t for t. -7 Solve 495*t - 51 = 498*t + j - 11*j, 16*t + 3*j - 66 = 0 for t. 3 Solve -66 = 3*o, -52908*y + 3*o = -52905*y + 21 - 84 for y. -1 Solve -o = 2*c + 27, -o + 3874 = -3*c + 3831 for c. -14 Solve -2*r - 4*u = 8, 115*u = 3*r - 116*u + 230*u - 2 for r. 0 Solve -15*q + 4*u - 135 = -20*q - u, q + 43 = 13*u for q. 22 Solve 0 = 3*g + 2*o + 37, -6*g + 11*g - 59*o + 74 = 1072 for g. -1 Solve 894034*y = 894030*y + 4*g - 64, -4*y - 3*g = 36 for y. -12 Solve -394*q + 7*o + 14 = -393*q, -2151*o - 6 = 5*q - 2148*o for q. 0 Solve -94 = -14*d - 4*w + 94, -w = -5 for d. 12 Solve 5*b - 72*x + 67*x + 64 = -46, -73*b = -3*x + 1326 for b. -18 Solve 24 = -24*g + 23*g + 5*s, 6*g = -2*s + 192 - 208 for g. -4 Solve 16*h - a + 22 = 50*h - 37*h - 17*h, -2*h + 6*a - 14 = -0*h for h. -1 Solve -38 = c - 0*c, 9*c + 605 = 83*y + 4*c for y. 5 Solve -7*f = 4*x - 153, -54*x - 200 = 4*f - 1239 + 309 - 1064 for f. 3 Solve -4*b = 4*k + 36, -4*b - 1884 = -844*k + 1310*k for b. -5 Solve -16*k + 24*k = 36*k + 5*j + 38, -2*k - 10 = 4*j for k. -1 Solve 0 = -6*p - 3*k - 48, -300*p + k = -312*p - 86 for p. -7 Solve z = -3*y - y + 17, -353*y + 2*z = -369*y + 74 for y. 5 Solve -k - 75 = -15*q, -3*q + k + 2921 = 2906 for q. 5 Solve -890*b - 687*b = -4*u - 6332, 0 = -4*b - 4*u - 8 for b. 4 Solve -4*t - 31 = 7*i, 10 = -2*t + 7*i - 2*i - 31 for t. -13 Solve 71*v - 53 = 3*p + 76*v, -3*v = -574*p + 569*p + 59 for p. 4 Solve -2*j + 3642 = 2*a + 7284 - 3654, 0 = -10*a - 2*j + 44 for a. 4 Solve -10*n = 336495*j - 336492*j - 32, 0 = 4*j + 24 for n. 5 Solve 39 = -2*i - 5*c, -105*i + 107*i + 12 = -2*c for i. 3 Solve -14*j - 5*m + 195 = 0, -2*m + 229696 = 229702 for j. 15 Solve 1139*q - 5*j - 963 = 3638, 2*q - 17 = j for q. 4 Solve 4*d = 141 - 233, -6*s + 7*d + 69 = 4*d for s. 0 Solve 16 = -187*i + 191*i, 2*v - v - 3*i - 2*i + 38 = v + 3*v for v. 6 Solve 0 = -2*m - 5*x + 267 + 298 - 529, 0 = m - 4*x - 18 for m. 18 Solve g + 45*r - 48*r = -29, -121*g + 122*g + 693 = 86*r for g. -5 Solve 5*r = 10, -13736*w - 4*r + 32 = -13732*w for w. 6 Solve 0 = 8*f + n + 558, -1486 = 2*f - 2*n - 1342 for f. -70 Solve 5*d - 2*c - 3 + 5 = -13, 65*d + 2*d - 5*c = -201 for d. -3 Solve -2*x - 2*p - 11 = 2*p + 7, 4*x + 6*p = -36 for x. -9 Solve 0 = -3*o + 7*n - 36, 7 = o - 13*n + 36*n - 21*n - 7 for o. 2 Solve -3*t + 7*t + 15 = 3*t + 2*o, -6*t = -10*t - 2*o - 30 for t. -9 Solve -19841*n = -19844*n, 4*i - 7 - 5 = -4*n for i. 3 Solve -2*p = 2*f + 134, -360*f - 667 = 4*p + 654 + 15 for p. -64 Solve -4*n - 3*g = 108, 4*n - 4*g - 100 = -318 + 61 + 49 for n. -27 Solve 55*m - 279 - 490 = r, 2*m = 7217*r - 7219*r + 10 + 20 for m. 14 Solve -60*d = -43*z - 29*d - 29*d + 42, -4*d - 84 = 3*z for z. 0 Solve -5*x - 176 = -2*k, 417*x + 36*k - 210 = 420*x for x. -34 Solve -18*f + 7*f - 8*f - 92 = 82*i - 83*i, -10*i + 3*f = 15 for i. -3 Solve -5*t = -3*o - 60, 6 = 14*o - 12*o + t - 6 for o. 0 Solve -2*n + 5*d = 5452828 - 5452789, n - 4*d = -27 for n. -7 Solve -55*q = 2*a + 3*a - 1015, 25*q + 4 = -15*a + 27*q + 22 + 21 for a. 5 Solve 33*y - 38*y = -5*t + 85, 0 = -3*y + 5*t - 7*t - 32 + 6 for y. -12 Solve -5*y + 342 = 5*c + 672, y + 33 = 2*c - 36 for c. 1 Solve 68*a + 15*a - z - 72 + 197 = -199, -3*a = -2*z - 4 for a. -4 Solve -4*h + 15 = 5*p, -4*p + 39446*h - 39444*h = 14 for p. -1 Solve -5*u = -5*a + 11516 - 11436, 4*a - 2*u - 28 = 0 for a. -2 Solve 55*o - 53*o - 30 = -2*h, -8*o + 108 = -770*h + 772*h for o. 13 Solve 6*j + 2*z = -100, -190*j + 4*z = -186*j - 136 for j. -4 Solve 3*i + 1164 - 1173 = 5*w, 5*i - w - 15 = 0 for i. 3 Solve -2*n + 3*v - 4*v = n - 8*n - 91, -66 = 4*n + 6*v for n. -18 Solve 4*f = 2*v + 10, 783*f + 794*f - 1573*f = -49*v - 245 for v. -5 Solve 2888*l - 2901*l = -3*b - 0*b - 907, 0 = l + 6*b - 76 for l. 70 Solve 121573*i = 121569*i + 4*r - 40, -5*i + 4*r - 44 = 0 for i. -4 Solve 4*g + 413 = 3*i + 123 + 131 + 127, -g = -3*i + 17 for g. -5 Solve a - 25207*o - 101 = -4*a - 25211*o, -4*a - 5*o + 115 = 0 for a. 5 Solve 3*r + 13 = -107*p + 108*p, 2319*r - 2318*r = 4*p + 3 for r. -5 Solve -2*c - 105 = 3*l - 2*c - 5*c, 1076*c + 96 = 1080*c for l. 5 Solve 20 + 25 = 3*q + 3*n + 27, n - 52 = -5*q - 6*n for q. -5 Solve s - 43 + 42 = 6*q - 4*q, 14*s + 70 = 0 for q. -3 Solve -3*d = 251 - 260, 0 = -2*i - 4*d - 8 for i. -10 Solve 0 = -5*q - 5*j + 275, -4*q - 35*j - 15261 = -15357 for q. 59 Solve 24*k + 251 - 212 = -3*l, 0 = -5*k + 16*l + 33 + 42 for k. -1 Solve -m - 60 = -55, -4*m = 2*r + 26 for r. -3 Solve 0 = -g + 3*b - 64, -19*b + 447 = 21873*g - 21871*g for g. 5 Solve -5*x + 8*q + 113 = 0, -2*x + 1448*q - 722*q = 721*q - 74 for x. -3 Solve -4*u - 16 = -1589*y + 1594*y + 11, -2 = -3*y - u for y. 5 Solve 4*q = -6*b + 11*b + 15, 0*q + q = -q + 4*b + 6 for q. 5 Solve -4*r - 76 = -10*a - 2*r, -a + 4*r + 43 = 24 for a. 7 Solve -3*g + 1 = -p - 13, 19*p - 5*g = -24*p + 142 for p. 4 Solve 0 = -36*z + 24*z + 3*x - 16 + 82, 5*z + 4*x - 17 = 4*x - 4*x for z. 5 Solve 0 = -5*m - 7*t - 25, -2772*m + t - 19 - 10 = -2770*m for m. -12 Solve 5*q + 1414439*h + 40 = 1414435*h, -52 = 8*q + 4*h for q. -4 Solve 0 = -4*p - o - 18, -12*p - 6*o - 42 + 34 = -7 + 71 for p. -3 Solve 3*n + 3508 = -188*l - 773 - 3621, 0*n + 3*l + 136 = -5*n for n. -2 Solve 190*i - 386*i - 5*k = -195*i + 7, i + 1 = -3*k for i. 8 Solve -7*s - 73 = -2*k, -59387*s + 10 = -59392*s - 7*k for s. -9 Solve -8*o = 4*f - 24, 2*f - 244*o + 241*o = 26 for f. 10 Solve -582*s - 588*s + 1747*s - 8 = 579*s, 5*s + 24 = -2*w for w. -2 Solve 90 = 4*k + 2*i, 10*k + 3504*i - 216 = 3508*i for k. 22 Solve 4*m = c + 31, 152*c - 276*c = -135*c - 121 for m. 5 Solve 1821 - 1813 = -4*s, 3*v + 116 + 23 + 9 = -2*s for v. -48 Solve 190595*v - 190591*v - 36 = 0, 6*v = -9*g + 45 for g. -1 Solve 2 = -r - 11*u + 21*u - 44, -5092*r - 4*u + 3*u = -5091*r - 9 for r. 4 Solve -5*f + 0*l + 10 = -4*l, -2*f + 69*l = 67*l - 6 for f. -2 Solve -19*y + 16*y - 597 = -24*m, -2*y + 3*m = 73 for y. 1 Solve -3*a = 890*i - 887*i + 9, -7*a - 5*i = 3*a + 35 for a. -4 Solve 2215*f + u - 37 = 2207*f, u = 3*f + 4*u - 48 for f. 3 Solve 0 = -9*o + 5*o + 68, -4*t + 5*t - 107 = -3*t - 9*o + 26 for t. -5 Solve 10642 = 2*f + 10638, 0 = x - 4*f + 5 for x. 3 Solve -4*a - 3*m - 17 = -0*m, 1149*a - 1145*a - 60 = 4*m for a. 4 Solve r - 3 = -127*s + 125*s, -5*s = -5*r - 60 for r. -7 Solve 527*x + 4*y + 95 = 520*x, 85 = -2*x - 5*y for x. -5 Solve 2*g = -2*h + 60, 4*g - 2*h + 38 = -0*g - 40 for g. -3 Solve 4*f - 104 = -4*q, -2401*f + 2398*f + q - 6 = 0 for f. 5 Solve -4*n = 3*l + 72, 2*l = 4*l + 3*n + 489729 - 489682 for l. -28 Solve -102 - 102 + 248 = 2*f - 14*l, 0 = 3*l + 12 for f. -6 Solve -4*g + 18*n - 3*n - 60 = 11*n + 6*n, 378 = -22*g + n for g. -17 Solve 51103033*a + 314 = 82*i + 51103035*a, -i - 4*a - 24 = 0 for i. 4 Solve -4*a - 126 = 6*z, 11*a - 9*a - 4*z + 84 = 0 for a. -36 Solve 3*y + 5*v + 78 = 0, 28 = -467*y + 469*y - 2*v for y. -1 Solve 2*r - 5*s - 49 = 2*r + 131, -507*r - s + 2427 = 2*s for r. 5 Solve -12*n + 81 + 76 = 61, 5*q = -2*n - 52 + 124 - 46 for q. 2 Solve 13*p = m - 231, p + 15758*m + 9 = 15761*m for p. -18 Solve -5*p = 2*v + 4, -24*v + 43 = 232*p - 228*p + 34 - 55 for p. -2 Solve l + 4908*s - 4905*s - 36 = 0, 5*s = -4*l + 116 for l. 24 Solve 7778*w - 7781*w = 4*c - 92, 5*c = -2*w + 115 for c. 23 Solve -3*a + 41 = -4*y, -3*y - 2158 = 2*a - 2157 for a. 7 Solve 0 = 38040*a - 38040*a + 5*j + 5, 3*j - 137 = -14*a for a. 10 Solve -2*c - 3*d = -4*d - 65, 0 = -c - d - 13 + 41 for c. 31 Solve 5*h - 79 = 5*t + 1, 78 = 6*t + h + 188 for t. -18 Solve v + 1 = 5*m, m = -3*v + 13973 - 13928 for m. 3 Solve 4*f + 7*f + 4*i = -23*f - 96, 2*f - 4*i - 191 = 49 for f. 4 Solve -z - 453*y = -450*y - 32, 88 = 24*z + 4*y for z. 2 Solve -4*q = k + 9, 0 = -6*k + 16*q - 14*q + q - 8 - 19 for k. -5 Solve 40*n - 8*n - 30 = -24*c + 19*c, -12 = -5*n - 2*c for n. 0 Solve 0 = -i, 334*i + 3 + 6 = c - 3*c + 337*i - 1 - 0 for c. -5 Solve -2*c - 5*j = -3*c + 42, 6*j - 46 = -141*c + 138*c + j for c. 22 Solve 3 = m - 11200*v + 11202*v, -2*m - 3*v + 5 = 0 for m. 1 Solve 0 = -3*a + 4*n - 28, 5*n = 48*a - 52*a + 4 + 31 for a. 0 Solve 0 = 85*s - 42*s - 48*s + 4*r + 35, 4*r = -3*s - 11 for s. 3 Solve 6*v + 3*h - 541 + 421 = v + h, -5*h = 25 for v. 26 Solve -2*k - 5*d - 101 = 0, 0 = -12*k -
{ "pile_set_name": "DM Mathematics" }
by 21. 19 Suppose -8*v = -17*v + 1017. What is the remainder when v is divided by 17? 11 Let a = 4 + -1. Suppose 3 = a*r - 3*c, 0 = 3*r + r + 2*c - 10. Suppose 0*v - 8 = -r*v. Calculate the remainder when 10 is divided by v. 2 Let j(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/8 + h**3/6 - h**2. What is the remainder when j(-5) is divided by (((-456)/15)/(-4))/(2/5)? 17 Let i = 2 - -7. Suppose -i - 17 = -2*q. Suppose 17 = x - 3*n, 2*n + 0*n = -8. Calculate the remainder when q is divided by x. 3 Let w = 3 + 2. Suppose -m + w - 1 = 0. Calculate the remainder when 8 is divided by m. 0 Suppose -4*a = a - 35. Calculate the remainder when 25 is divided by a. 4 Let o(a) = a**2 + 2*a - 2. Suppose -3*v - 2*u = 26, 2*v - 4*u = -2 + 6. Let t(c) = c + 13. What is the remainder when o(v) is divided by t(-7)? 4 Let h(p) = 2*p**3 + 2*p**2 - 2*p - 2. Let u be h(-2). Calculate the remainder when ((-4)/(-3))/(2/6) is divided by -6*(2 - -1)/u. 1 Let y(t) = t**2 + 2*t + 13. What is the remainder when y(-7) is divided by 13? 9 Let u(h) = -4 + 5*h - 1 + 1 - 4*h. Calculate the remainder when u(8) is divided by (-2)/3 + (-8)/(-3). 0 Suppose -4*j = -p - 61, 2*p = -5*j + 6*p + 90. What is the remainder when 46 is divided by j? 4 Let a(n) = -3*n**3 - 4*n - 3. Let g = 9 - 1. What is the remainder when a(-2) is divided by g? 5 Let m(p) = -p**3 - 2*p**2 + 3*p + 1. Let x be m(-3). Suppose -k + 26 = -x. What is the remainder when k is divided by 14? 13 Suppose 4*f = -2*k + 10, -4*f + 3*f - 4*k + 20 = 0. Let q = 4 + f. Let j = q - -1. What is the remainder when 9 is divided by j? 4 Suppose z + 0 + 4 = -2*l, -5*l = -5*z + 10. Let t be (51 + z)*(-20)/(-15). Calculate the remainder when 22 is divided by t/6 + (-2)/(-3). 10 Suppose 0 = 2*f + 5*a - 64 + 13, -f = 4*a - 27. Suppose 22 = 2*d + 6*j - 8*j, 2*d = 3*j + 20. What is the remainder when f is divided by d? 10 What is the remainder when 17 is divided by (-1)/((-4)/56*2)? 3 Suppose -3*r - 4*p = -173, 5*r + 2*p - 31 = 248. What is the remainder when 163 is divided by r? 53 Suppose 4*j + 20 - 4 = 0. Let i = j + 8. Let b = 1 + i. What is the remainder when b is divided by 2? 1 Let d(w) = -5*w**3 - w**2 - w. Let k be (2/(-6))/((-10)/(-30)). Suppose 3*u = n + 11, 4*u = -2*n + 11 + 7. Calculate the remainder when d(k) is divided by u. 1 Let s = -106 + 159. Suppose -m = z - s, m + 45 = z - 0*m. Suppose -4*w - q + 73 = -0*w, -5*w + 75 = -2*q. What is the remainder when z is divided by w? 15 Suppose -2*a + 4*a - 35 = -5*x, -5*x - 25 = -2*a. Calculate the remainder when 111/4 + (-1)/(-4) is divided by a. 13 Suppose w + k + 16 = 0, 21 = -3*w + 2*k - 12. Let l = -5 - w. Suppose -4*u + 6 = -86. What is the remainder when u is divided by l? 7 Suppose 5*y - 80 = 3*y. What is the remainder when 117 is divided by y? 37 What is the remainder when 31 is divided by (((-21)/(-6))/7)/(3/66)? 9 Suppose 3 = 3*i, i - 19 - 52 = 5*a. Let s = 15 + a. Calculate the remainder when s is divided by 1. 0 Suppose 0 = 4*h - 48 - 12. What is the remainder when 42 is divided by h? 12 Let d(o) = -o**3 - 2*o**2 + 6*o - 2. What is the remainder when d(-5) is divided by 23? 20 Let f(o) = o**2 - 10*o - 35. What is the remainder when f(18) is divided by 28? 25 Suppose -4*o = 2*c - 60, 5*o = -4*c + 18 + 51. Calculate the remainder when o is divided by 5. 2 Let r be (-480)/(-9) + (-2)/(-3). Let p = 100 - r. Calculate the remainder when p is divided by 12. 10 Let w(k) = -3*k - 3. Let t be (-2)/(-4)*(3 - 1). Calculate the remainder when ((-1)/(-2))/(t/46) is divided by w(-5). 11 Suppose -3*p = 2*b + 101 - 245, -2*p + 96 = 3*b. Let i = 80 - p. What is the remainder when i is divided by 11? 10 Let b = -59 + 87. Suppose 1 = -c - 3*j - 0*j, 4*j = 4*c - b. Calculate the remainder when c is divided by 3. 2 Let b = 175 + -157. What is the remainder when 50 is divided by b? 14 What is the remainder when -1 - (4 - (27 - 4)) is divided by 5? 3 Let u = 24 + -15. Suppose -11*b = -20*b + 297. What is the remainder when b is divided by u? 6 Suppose -f = 2*f - 96. Calculate the remainder when f is divided by 9. 5 Suppose 0 = -2*y - 4 + 8. Let w = 5 + y. Let h(g) = g + 12. Calculate the remainder when h(0) is divided by w. 5 Let y = 41 - 22. Suppose 0*c + 4*c - 5*p - 53 = 0, -c = -2*p - 17. What is the remainder when y is divided by c? 5 Let g = -17 + 29. Calculate the remainder when ((-4)/(-3))/(2/33) is divided by g. 10 Suppose 5*a = -62 - 28. Let l = a - -30. Let x(b) = 8*b**2 + 2. What is the remainder when x(2) is divided by l? 10 Suppose -1 = 3*w + 2*q, -w - 5 = -2*q - 18. Calculate the remainder when 3 is divided by w. 0 What is the remainder when 38 is divided by (4 - 3)*12 + 3/3? 12 Let v be (-3 - 2) + (-3)/(-3). Calculate the remainder when 26 is divided by 9/(-2)*(2 + v). 8 Suppose 2*x - 23 = -3*t + 29, 5*t - 4*x = 72. Calculate the remainder when t is divided by 10. 6 Calculate the remainder when 2*((-145)/(-10))/1 is divided by 10. 9 Suppose -3*j - j = 2*i - 52, -3*i + 50 = 4*j. Let y(k) = -3*k + 2*k + 4*k + k. What is the remainder when j is divided by y(2)? 6 Let o be (-1)/(((-6)/(-2))/15). Let b = o + 10. Suppose -b*f + 3 = -f - 5*h, -4*f = 5*h - 13. Calculate the remainder when 2 is divided by f. 0 Let o(u) = u**3 + 6*u**2 + u + 6. Let a be o(-6). Let h be (5 + a + -1)*7. Suppose -7 = -t + h. Calculate the remainder when t is divided by 12. 11 Suppose -4*t + 36 = -0*t - 5*h, 0 = 4*t + 5*h + 4. What is the remainder when 9 is divided by t? 1 Suppose 0 = -2*i - i - 87. Let y = i + 49. Suppose 0*w = -5*w + y. Calculate the remainder when w is divided by 2. 0 Let d(u) be the second derivative of u**4/4 + u**3/2 - u**2/2 + u. Let c(n) = n**3 + 6*n**2 + 6*n + 1. What is the remainder when d(-3) is divided by c(-4)? 8 Suppose -6 + 1 = -m. Let w = m + -4. Let c(k) = 41*k**3 + k**2 - k. What is the remainder when c(w) is divided by 14? 13 Let h(t) = -t**2 - 16*t + 25. Suppose -l + 2*l - 22 = 0. What is the remainder when h(-15) is divided by l? 18 Let b = 6 + 6. Let z be 66/15 - 4/10. Suppose 5*r - 5*u = 20, -3*r = -z*u - u - 6. What is the remainder when b is divided by r? 5 Let r be 3804/84 - (-2)/(-7). Let c = -30 + r. Calculate the remainder when 74 is divided by c. 14 Suppose 3*c + 3*b - 156 = 0, -2*c = -2*b + b - 104. What is the remainder when c is divided by 11? 8 Suppose -2*c + 3*t = -11, -5*c + 4*t = 21 - 59. Calculate the remainder when 15 is divided by c. 5 Let a(x) = 2*x**2 - 10*x + 6. Let m(q) = -5*q + 1. Let o be m(-1). Let k = -24 + 34. What is the remainder when a(o) is divided by k? 8 Suppose -j - q - 1 = 0, 0*j + 5*q + 6 = -4*j. Let v = 3 - j. Suppose 0*d - 16 = -4*d. Calculate the remainder when d is divided by v. 0 Let g(f) be the second derivative of 13*f**3/6 - f**2 + f. Let y be g(2). Suppose 3*d - 21 - y = 0. What is the remainder when 57 is divided by d? 12 Let s(i) = -i**2 + 6*i - 1. Let f be s(7). Let p = f + 21. Let d = 34 + 4. Calculate the remainder when d is divided by p. 12 Suppose 2*j - 4 = 2. Suppose 1 = -o + j. Suppose -o*y + 124 = 14. What is the remainder when y is divided by 19? 17 Let v(r) = -3*r - 23 + 26 - r. What is the remainder when v(-5) is divided by 8? 7 Suppose -4*c + 3*j = -320, 2*j - 22 - 47 = -c. What is the remainder when c is divided by 26? 25 Let q(j) = j**2 - 7*j - 2. Let d = 2 - 0. Suppose d*u - 17 = -v, -4*v - 40 = -3*u - u. What is the remainder when 29 is divided by q(u)? 13 Let a(q) = q**3 - 12*q**2 + 14*q - 18. Suppose 3*s = 4*n - 2*s - 26, 0 = 3*n - 4*s - 20. Calculate the remainder when a(11) is divided by n. 3 Suppose -q - 3*h = -12, -2*h = 2*q - 8 - 4. Suppose -a = -q*a - 66. Let i = 64 + a. What is the remainder when i is divided by 11? 9 Let a = -26 - -36. Let b = -1 + 8. Suppose -9 = -4*c + b. Calculate the remainder when a is divided by c. 2 Let d = 116 + -77. Calculate the remainder when 115 is divided by d. 37 Suppose -2 = -4*j + 258. Suppose 6*y - j = y. What is the remainder when 24 is divided by y? 11 Suppose -t + 6*t + r = 65, -t + 34 = -4*r. What is the remainder when t is divided by 8? 6 Suppose -4*j - j = -2*c + 48, j = -4*c + 52. What is the remainder when 26 is divided by c? 12 Suppose -41 + 11 = -5*d. What is the remainder when 28 is divided by d? 4 Let w be 9*(20/6 - 4). What is t
{ "pile_set_name": "DM Mathematics" }
8*d - d)*((-d**2 + 6*d - 6*d)*(d - 3*d + d) - 3*d**3 + 2*d**3 - 2*d**3 + 3*d**2 - 3*d**2 - d**3). -24*d**4 Expand (10 - 2 - 2)*(4*s**2 + 0*s**2 + 0*s**2) + 23*s - 28*s**2 - 23*s + (3*s + 2*s - 6*s)*(-s - s + 3*s). -5*s**2 Expand (3*v**4 - 3*v**4 - 2*v**5)*(1 - 2 + 2) + (-24 - v + 24)*(-377 + 28*v**4 + 377). -30*v**5 Expand 2*q**2 + 0*q**2 - 3*q**2 + (0*q**2 + 3*q**2 - q**2)*(2 - 3 + 0) + 2*q**2 + 0*q**2 - q**2 + 1847731 - 1990*q**2 - 1847731. -1992*q**2 Expand 3*z + z - 2*z - 3 - 3*z + 3 + z - 2 + 2 + (-2*z + 0 + 0)*(-2 + 1 - 1) + 2*z + 3 - 3 - 1 - z + 1 - 150*z + 1553*z - 400*z - 331*z - 1 + 2*z + 1. 679*z Expand (-139*v**3 + 2*v - 15349 + 7674 + 7675)*(4 - 4 + 2*v). -278*v**4 + 4*v**2 Expand (400*k**3 + 127*k**3 + 224*k**3)*(k + k + 2*k + (3*k - k - k)*(2 - 2 - 1)). 2253*k**4 Expand -6*h**3 + h**3 + 0*h**3 + (-h + 0*h + 0*h)*(h**2 + h**2 + h**2) - 9*h**3 - 20 + 20 + (0 + 0 - h**3)*(1 + 5 - 4) - 6*h**3 + 0*h**3 + 2*h**3. -23*h**3 Expand (-3*h**3 + 22 - h**3 - 20 + 2*h**2)*(-1 - 1 + 4 + (0 - 6 + 1)*(-3 + 7 - 1)). 52*h**3 - 26*h**2 - 26 Expand 4*c**3 + 2*c**3 + 3*c**3 + (-c**2 + 4 - 4 + (1 - 4 + 5)*(c**2 - 4*c**2 - 2*c**2))*(3*c + 2*c - 3*c). -13*c**3 Expand (-41 - 235 + 20 - 310)*(-90*f**2 - 3 - 91*f**2 + 183*f**2 + f). -1132*f**2 - 566*f + 1698 Expand (-3 + 3 + g + (-4*g + g + 5*g)*(-5 + 2 + 2) + 0*g - g + 0*g)*(-27*g**2 - 81*g**2 - 2*g + 22*g**2) + 0*g + 0*g + 2*g**3. 174*g**3 + 4*g**2 Expand (3*p - 4*p - 2*p)*(0 - 1 + 0)*(11 - 18 + 29)*(-2*p**2 - 4*p**2 + 7*p**2). 66*p**3 Expand 0*l - l - l + 4*l - l + 0*l + (l - 2*l + 0*l)*(0 - 9 - 6). 16*l Expand ((1 + 2 - 4)*(2 + 1 - 2) - 27 + 103 - 21)*(-26*v - 3*v + 6*v)*(3*v + v - 2*v) + (v**2 + v**2 - 4*v**2)*(2 - 2 + 1). -2486*v**2 Expand (-21*g**2 + 9*g**2 + 9*g**2)*(3*g**2 + g**2 - 3*g**2) - 373*g**3 + 2*g**4 + 219*g**3 + 266*g**3. -g**4 + 112*g**3 Expand 179*t**2 - 157*t**2 - 136*t**2 + 4*t**2 - 4*t**2 - 2*t**2 + (2*t - 2*t + 2*t**2)*(2 + 0 + 0) + 2*t**2 - 5*t**2 + 2*t**2 + 2*t**2 + 3*t**2 - 1 - 4*t**2. -112*t**2 - 1 Expand (4 - u - 4)*(-37 - 109 - 85)*(4*u - 1 - 4*u + 3*u). 693*u**2 - 231*u Expand (-2 - 1 + 4)*(3*y**4 + 0*y**3 + 0*y**3) + 4 + 6*y**4 - 4 + (-2 - 4 + 4)*(13*y**2 + 5*y**2 + 3*y**2)*(-23 + 23 - 12*y**2). 513*y**4 Expand -5*z + 2*z + z + (-4 + 6 + 0)*(5*z - 4*z - 3*z) - 6*z + z + 4*z + (-5*z - 6*z - 8*z)*(-59 + 60 + 43). -843*z Expand -k**2 + 106009*k - 53239*k - 54459*k + (4 - 3 - 3)*(6*k**2 - 2*k**2 - 3*k**2). -3*k**2 - 1689*k Expand (1 - 2 + 0)*(-20*v**3 - 2*v**3 - 31*v**3 + (3 - 1 - 4)*(-17*v**3 + 8*v**3 - 9*v**3)). 17*v**3 Expand (5*k + 2*k - 12*k)*(4*k**4 - 7*k**4 + k**4) + 2*k**5 - 6*k**5 - 10*k**5. -4*k**5 Expand (c - 2*c + 0*c)*(-4*c - 2*c + 5*c) + 0 + 0 + 3*c**2 + (-2 + 2 + 1)*(4*c**2 + 3*c**2 - 5*c**2) - 2*c**2 + 5*c**2 - 2*c**2 + 52*c**2 - 89*c**2 + 194*c**2. 164*c**2 Expand 0 + 0 + 2*f + (25*f + 76 - 159 + 70)*(1 + 0 - 2 + (3 - 4 + 2)*(0 + 1 - 2) + 14 + 34 - 4). 1052*f - 546 Expand (5714131 - 5122*s - 5714131)*(5*s - 3*s - 2 + 0*s). -10244*s**2 + 10244*s Expand (1 - 1 + 2*z**3)*(100 + 143 + 8*z**2 - 174). 16*z**5 + 138*z**3 Expand (-3*n + 8*n - 2*n)*(84 + 32 + 1)*(0*n - 2*n + n). -351*n**2 Expand 3*w**2 - 10*w**2 + 11*w**2 + 5*w - w**2 + w**2 - 4*w**2 - 3*w**2 + 3*w**2 - 2*w**2 + (w + w - 4*w)*(-5*w + w - w). 8*w**2 + 5*w Expand (-4 + 3 - 2)*(94 - 293 + 18)*(-c - c + c). -543*c Expand (2031464 + 151*o - 1015774 - 1015778)*(-5 + 2 + 2). -151*o + 88 Expand (193*d**2 - 15*d**4 - 193*d**2)*((2 - 3 + 2)*(-3 + 3 + 5) + 2 + 2 - 2 - 2 + 1 + 0)*(4*d - d + 0*d). -270*d**5 Expand (2*a**3 + a**3 - a**3)*(-4*a + 2*a + 0*a) - 2*a**4 - a**3 + a**3 - 2*a**2 + 2*a**2 + a**4 - 2*a**4 - 3*a + 3*a + 8226*a**4 + 3425*a**4 - 1156*a**4. 10488*a**4 Expand (-3 + 2 - 1 + (2 - 4 + 3)*(-2 + 2 - 1) - 1 - 2 + 0)*(5 - 2 - 2)*(-21 - 23*s + 21). 138*s Expand (-2 + 48424*h - 96593*h + 48444*h)*(3*h - 2*h**2 - 3*h). -550*h**3 + 4*h**2 Expand (-94*i**3 - 15*i**4 + 94*i**3 + 0*i**4 + 2*i**4 - 3*i**4 + (-3*i**4 + 3*i**4 - i**4)*(1 - 4 + 1))*(-2*i - i + 8*i). -70*i**5 Expand (2 - 5 - 4*b + 0)*(-3 + 3 - 2*b) + 6*b**2 + 28*b**2 + 26*b**2. 68*b**2 + 6*b Expand (-10917*v - 10027*v + 17287*v + 1 - v - 1 - 4*v + 0*v + 2*v + (0*v + 2*v - 4*v)*(-5 + 2 + 1))*(v**3 + 3*v**3 - 2*v**3). -7312*v**4 Expand 66*a**2 + 78*a**5 + 133*a**2 - 171*a**2 - a**5 - 2*a**2 + 2*a**2 + (-2*a + 4 - 4)*(4*a**2 - 4*a**2 - a**4) - 2*a**5 - 3*a**5 + 6*a**5. 80*a**5 + 28*a**2 Expand -9 + 9 + 2*n + 2*n**3 + (13*n - 4 + 20 - 11*n)*(5 - 5 - 3*n**2). -4*n**3 - 48*n**2 + 2*n Expand (-178*k + 2*k**2 + 368408 - 368408)*(5 + 4 - 10). -2*k**2 + 178*k Expand (-11857*u + 11857*u - 96*u**3)*((6 - 5 - 4)*(-3*u + 3*u - 2*u**2) + 3*u**2 + 2*u**2 - 3*u**2). -768*u**5 Expand 109*y**5 + 305*y**3 - 234*y**3 - 8*y**2 + 133*y**2 - 71*y**3 + y**5 - 3*y**5 + 4*y**5 + (-3*y**2 - 4*y**2 + 6*y**2)*(y**3 - 4*y**3 + y**3). 113*y**5 + 125*y**2 Expand (-4*n - n + 0*n)*(-13 - 1 + 42)*(-6 + 4*n + 6). -560*n**2 Expand (-3*f**2 - 45*f**5 - 90107*f + 90107*f)*(-5 + 3 + 4). -90*f**5 - 6*f**2 Expand (3731*y**2 + 4322*y**2 - 6472*y**2)*(2*y**2 + 8*y - 8*y). 3162*y**4 Expand (-102 + 102 - 108*w)*(52 - 20 - 28 + 5*w). -540*w**2 - 432*w Expand 2*h**4 - 4*h**4 + h**4 + (-6*h**3 + 0*h**3 + 3*h**3)*(-135*h + 296*h - 137*h). -73*h**4 Expand (f**5 - 6*f**5 - 2576*f + 4*f**5)*(-3 + 7 - 2). -2*f**5 - 5152*f Expand (-3*h**2 + 3*h**2 - h**2)*(-2 + 3 + 0) + 51*h**2 + 25*h**2 + 0*h**2 + (0 + 0 + h)*(2*h - 2*h + 2*h) + (-2*h + 1 - 1)*(h + h - 3*h). 79*h**2 Expand (-27 + 12 - 20)*(-18*b - b - 19*b)*(-3*b + 2*b + 0*b). -1330*b**2 Expand (-642*b - 353*b + 303*b)*(-1 + 2*b**3 + 1) + (0*b**3 + 0*b**3 + b**3)*(6 - 6 - 5*b). -1389*b**4 Expand 7*f + 2 - 8*f - 7*f + (-1 - 3 - 13)*(5*f - 4*f + f). -42*f + 2 Expand 54 - 11*a**3 - 54 + (a - a + 2*a)*(-a**2 - 4*a**2 + 0*a**2) - 2*a**3 - 3*a**2 + 3*a**2 + 0*a**3 - 4*a**3 + a**3. -26*a**3 Expand (6*z + 4*z + 7*z)*((-z - z + 0*z)*(0*z - 5*z + 3*z) + z**2 - 3*z**2 + 0*z**2)*(6*z - 14*z - 18*z). -884*z**4 Expand -9 + 6 + 5 - c + (14*c + 14*c + 20*c)*(4 + 0 - 5). -49*c + 2 Expand (1683 + o + 80 - 87)*(-o + o + 4*o). 4*o**2 + 6704*o Expand (q**3 - q**3 - 3*q**3 + (32*q + 10*q + 9*q)*(-q + q - 12*q**2) - 2 - 3*q**3 + 2)*(-3*q**2 - q**2 + 3*q**2). 618*q**5 Expand (-3*x - x + 2*x + (115 + 121 + 34)*(3*x + 2*x - 6*x))*(-3*x + 7*x + 0*x). -1088*x**2 Expand (-5*l**3 - 1 + 1)*(2 - 2 - 1 + (1 - 4 + 4)*(1 + 3 - 3) - 127 + 229 + 174)*(0*l + 0*l - 2*l). 2760*l**4 Expand 5*t**5 - 11*t**5 + 14*t**5 + (-t - t + 0*t)*(1 + 2 + 8)*(-2*t + t + 0*t)*((-3*t + 5*t + 0*t)*(-2*t**2 + t**2 + 3*t**2) - 4*t**3 + 3*t**3 + 0*t**3). 74*t**5 Expand ((2 + f**2 - 2)*(-38 + 11 + 6) + 6*f**2 - 8*f**2 + 3*f**2)*(7 - 7 + 5*f)*(-5*f**2 + 4*f**2 - f**2). 200*f**5 Expand ((8 - 8 - 3)*(b - b - b) + (-7*b + 16*b - 3*b)*(1 - 1 - 4))*(-2*b + 2*b + b). -21*b**2 Expand (0*v + 3*v**2 + 0*v)*(-4*v - 4 + 2*v + v) + 0*v**3 - 1031*v**2 + v**3 + 926*v**2 - 2*v. -2*v**3 - 117*v**2 - 2*v Expand (-231*l**3 - 291*l**3 - 61*l**3)*(3*l + 2*l - l). -2332*l**4 Expand (0*l - 8*l + 5*l)*(1 - 1 + 2*l**2) - 513*l**3 - 344*l**3 - 752*l**3. -1615*l**3 Expand (69*f**2 - 20*f**2 + 9*f**2)*(4*f**2 - 5*f + 5*f). 232*f**4 Expand (-29 - 7 - 8 - 15)*((-2 + 4 + 0)*(0 + 0 + n) - 3*n + 3*n - n). -59*n Expand (14 + 20 + 7*g - 17)*(3*g - g - 5*g). -21*g**2 - 51*g Expand (-3 + 0 + 1)*(-7348 + 3668 + 3680 - 2423*v - 1927*v). 8700*v Expand (w - 4 + 4)*(-4 + 3 + 2) - 56*w + 704 - 704 + 541 - 541 + 27*w. -28*w Expand -3 + 3 + r + (0*r - 3*r + 5*r)*(2 - 1 + 0) - 3*r - 2*r + 4*r - 1674*r - 245*r + 380*r. -1537*r Expand 6380*n**2 - 2160*n**2 - 3178*n**2 + (3*n - n - 3*n)*(-2*n + n + 2*n). 1041*n**2 Expand -h + 3*h + 1 - 4*h + (-2 + 2 + 2)*(1 - 1 - 2*h) + (-48*h - 3 - 2*h - 3*h)*(4 + 2 - 4)*(2 + 0 - 1). -112*h - 5 Expand (-a + 3 + 6 - 3)*(-2*a + 1 - 1)*(-80*a - 31 + 31). -160*a**3 + 960*a**2 Expand (2*v**2 + 608704 - v**2 - 592722)*(0 + 0 - v**2). -v**4 - 15982*v**2 Expand (5*q - 5*q - 2*q**2)*(9*q + 1 - 160*q - 67*q). 436*q**3 - 2*q**2 Expand 3 + 2*o - 3 - 3*o + 3*o + 2*o + (2 - 3 + 2)*(o - 3*o + 3*o) + (-2 + 1 - 1)*(0*o + 0*o + 2*o) + 3*o + 0 + 0 + 2*o - 5*o + 7*o. 8*o Expand 8*k**3 - 14*k**3 - 93*k**3 + (4*k**2 + 0*k**2 - 3*k**2)*(-9*k - 7*k + 8*k). -107*k**3 Expand (-12*x**3 + x**3 - 9*x**3)*(-3 - 2 + 4) - x**3 + x**2 - x**2. 19*x**3 Expan
{ "pile_set_name": "DM Mathematics" }
est to 4/5? (a) 5 (b) k (c) -4 b Let z = -0.47 - 1.53. What is the nearest to z in -2, -4/3, -4? -2 Let q = 6 + -3. Let h = q + -2. What is the closest to h in 4, 2, -0.2? 2 Let w = 1 - 3. Which is the nearest to 1? (a) w (b) -1/2 (c) -4 b Suppose -38*p + 35*p = -15. Suppose -r = 3*r - 4. Let a be (-8)/6 - -1*r. What is the closest to a in 0.5, 1, p? 0.5 Let z = 15 + -9. Suppose z*y = y + 5. Which is the nearest to -1/3? (a) 3 (b) 2 (c) y c Let t be -1 - 3*(-4)/24. Let w = 0.6 - 0.5. Which is the closest to w? (a) -1/6 (b) 4 (c) t a Let n = -1.5 - 4.5. Let s = -6.3 - n. Suppose -4*g = -2*l + 4*l + 6, -3*g - 7 = 4*l. Which is the closest to -1/4? (a) l (b) s (c) -2 b Let j = -0.1 + 2.1. What is the closest to j in 5/6, 1/6, 1/2? 5/6 Let y be 5/(-20)*32/6. Which is the nearest to -1/3? (a) y (b) 2/5 (c) 3 b Let k(o) = -2*o + 5. Let r be k(4). Let p be ((-8)/(-20))/((-21)/(-1320)). Let j = -25 + p. What is the nearest to -1 in r, -0.2, j? -0.2 Let i = 6 - 5. What is the nearest to -2/3 in -3/4, 0.4, i? -3/4 Let k = -28 - -27.7. What is the nearest to -2/9 in -0.1, k, -1? k Let n = -2.03 - -0.03. Let z = n - -2.4. What is the nearest to -0.1 in z, 1, 0.2? 0.2 Let h = 3.4 - 3. Let b = -140 + 1262/9. What is the closest to 0.1 in b, h, -0.1? b Let c = 14 + -6. Suppose -w - 3*w = 16. Let h be w/c*(-4)/2. What is the closest to -0.1 in 0.2, -1, h? 0.2 Let j(d) = -d**2 + 11*d - 2. Let f be j(11). Let t = 3 - -2. Which is the nearest to f? (a) t (b) 2/9 (c) 1/6 c Let l = 0.1 - 1.1. Let z = -68 - -29. Let g = z + 389/10. What is the nearest to 0 in 4, g, l? g Let w be (-16)/(-6)*(-1)/2. Which is the closest to 2/7? (a) 0.5 (b) w (c) -0.5 a Let d = 119/5 + -24. Let o = 3 + -1. Which is the closest to o? (a) 5/6 (b) 4 (c) d a Let q be 0 + ((-12)/14 - -1). Let m = -19/4 - -21/4. Which is the nearest to m? (a) -5 (b) q (c) -0.2 b Let s = 59 - 57. What is the nearest to s in -4, 3, 2? 2 Let l = 0.07 - -1.93. Let n = 8 + -7.9. Which is the nearest to n? (a) 2/7 (b) 4 (c) l a Let k = -0.06 + 0.06. Let c = -0.2 + k. Let x = -119 - -835/7. What is the nearest to x in 2, 4, c? c Let b = -16 - -16. What is the nearest to b in 0.009, -0.2, 2/9? 0.009 Let g = 1 + -0.9. Let m be 2/(-1) - (2 - 7). Suppose -3*b + 4*k = -2 - 1, m*k - 4 = b. What is the closest to g in b, 2, 0? 0 Let j = 9 + -8. Which is the nearest to j? (a) 5 (b) 0.06 (c) 2/13 c Let q = 7 + -6.9. Let j be 4/(-14)*1/2. Which is the nearest to q? (a) j (b) 0.1 (c) 2/3 b Let q = -126 + 121. Which is the closest to q? (a) -1/6 (b) -0.03 (c) -2/3 c Let t = -5.6 - -6. Let r = t - 0.7. Let s = -24 + 70/3. Which is the nearest to s? (a) r (b) 0.4 (c) -4 a Let j = -0.05 + -0.03. Let r = -0.19 - j. Let m = r + 0.21. Which is the nearest to 0? (a) 1 (b) m (c) 3/2 b Let i(z) = -z**2 + 5*z. Let y be i(4). Let a be y/(-2) - (-13)/7. Let g(t) = -t**2 - 9*t - 13. Let c be g(-7). What is the closest to 0.1 in c, a, -0.3? a Let m(d) be the first derivative of -d**4/2 - d**2/2 + d + 1. Let f be m(1). Let w = 0.02 + -0.42. Which is the closest to 0.1? (a) -3/5 (b) f (c) w c Let t be (-48)/4*(-4)/(-6). Let m be (1/t)/(2/(-4)). Let s(p) = -p**2 + 2. Let i be s(2). Which is the nearest to m? (a) -4/9 (b) i (c) 0.3 c Let o = -62 - -312/5. Let i be (-5 - -1)/((-18)/(-2)). Which is the nearest to o? (a) 0.2 (b) i (c) 0.4 c Let m = 788/5 - 157. What is the nearest to 4 in 0.5, 2, m? 2 Let t = 0 - 0.1. What is the closest to t in 0.5, -2, -1? 0.5 Let d(y) = y**2 + 7*y + 7. Let s be d(-6). Let t = -59 + 1237/21. Let v = 1.2 + -0.2. What is the nearest to s in v, -4, t? v Let k = -2/119 + -109/595. Which is the nearest to 1/4? (a) -0.1 (b) k (c) -0.3 a Let d = -1.7 + -3.3. What is the closest to 2 in d, 0.03, 0.5? 0.5 Let t = 1.07 + -0.77. Which is the closest to -1? (a) 0.6 (b) t (c) -2 c Suppose 4*q - 13 = 5*g, 3*q + 5 = -5*g + 6. Which is the nearest to q? (a) 1/10 (b) 3 (c) -5 b Let p be 6/(-10)*-6*4/(-36). Which is the closest to 1? (a) 1/6 (b) 0.3 (c) p b Let o = 56 + -55.9. Let p be -2 + 2 + (-1)/(-3). Which is the nearest to o? (a) p (b) -3/5 (c) -2/11 a Let c be 3/(6/4) + 18. Let z be (-1)/(-5) - 148/(-10). Let a be ((-2)/z)/(2/c). What is the closest to -1 in -3/5, -1/4, a? a Let q = -0.8 + 0.4. Let w = 1/10 - -2/5. Let j = w + -7/10. Which is the closest to j? (a) q (b) -4 (c) 2 a Let i(g) = -g + 4. Let q be i(8). What is the nearest to 2/3 in 0.3, q, 0.2? 0.3 Let h = 1 - -1. Let j = 0.67 - 0.4. Let r = 0.03 + j. Which is the nearest to h? (a) 2 (b) -1/4 (c) r a Let n = -5.99 - -6. Let s = -3.01 + n. What is the closest to -0.1 in s, -2/7, -1? -2/7 Let m = 4.3 + -1.3. What is the closest to 1/3 in m, 4/9, -1/3? 4/9 Let g = -3 - 1. Let v be 2/(0 + 2 + g). Which is the closest to v? (a) -0.1 (b) -3 (c) -2 a Let f = 0.2 - 0.3. Let r = 23.2 - 23. Let t be 1 - -1 - (-1 + 2). What is the closest to t in f, 2, r? r Let u = 811/4 + -202. Which is the nearest to 0.4? (a) 0.2 (b) -1 (c) u a Let u = 11 - 11.5. What is the closest to -1/4 in u, -8, -1? u Let q = 27 + -26.9. Let f = 0.2 + -0.4. Which is the closest to q? (a) -3 (b) 1/6 (c) f b Let z be (1 - 4/8)*2. What is the nearest to z in 5, -0.4, -4? -0.4 Let h = 0.51 + -0.01. Let t = -0.2 + h. Which is the nearest to -2? (a) 1 (b) t (c) -1 c Let d = -124.5 - -125. Let m = -2 + 1.5. What is the nearest to 0.1 in 1/4, d, m? 1/4 Let j = -3/14 - -1/2. Let i(k) = -k**3 + 5*k**2 + k - 2. Let p be i(5). Let r = 9 + -17/2. Which is the closest to j? (a) p (b) r (c) -5 b Let h be ((-6)/(-36))/(2/8). Which is the closest to h? (a) -0.1 (b) 5/4 (c) 1 c Let v = -28 + 28.04. What is the closest to -1 in 0, -2/13, v? -2/13 Let t = -0.4 + 0.9. Let x = t - 0. Which is the closest to 2/5? (a) -0.06 (b) x (c) -1/4 b Let r = -38 - -62. Let p = r + -20. What is the closest to -4 in -0.3, 2, p? -0.3 Let k = -1.9 - 0.1. Let u = -1.9 - k. Which is the nearest to u? (a) -0.1 (b) 2/3 (c) -1/6 a Let j = 0.93 + -1.43. Which is the nearest to -1? (a) j (b) -2 (c) -6 a Let h = -4 - -4.3. Let y = 1.99 - -0.01. Let m = -0.1 - 0.4. What is the nearest to -1 in y, h, m? m Let v = 2.3 - -0.7. What is the nearest to -2 in -2/9, -0.5, v? -0.5 Let h = -140 - -139. Which is the closest to h? (a) -4 (b) -13 (c) 0.5 c Let o = 20 + -19.7. Which is the nearest to o? (a) 1 (b) -1/3 (c) 0.1 c Let z = 1.5 - -3.5. Which is the nearest to 0.1? (a) 2/7 (b) z (c) -0.3 a Let d be (-1)/1 + -2 + (-301)/(-105). What is the nearest to -2 in 1/4, -0.04, d? d Let t be ((-1)/(-6))/(2/(-20)). Suppose 0 = -9*h + 4*h + 10. Let l = 46 + -137/3. What is the nearest to l in -2/7, t, h? -2/7 Let g = -19 - -19.2. Let x = -2 - -2.4. What is the closest to g in -0.5, x, 2/7? 2/7 Let h(g) = -3*g**2. Let v be ((-3)/(-6)*-4)/(-2). Let y be h(v). What is the nearest to y in 4, -1/4, -3? -3 Let d be (-6)/16*6/(-9). Let u = 265/6 + -44. Let h = 1/18 + u. What is the nearest to d in h, -5, 1/5? h Let y = 3.084 - 0.084. What is the closest to 1 in -1/6, -16, y? -1/6 Let c = 8 + -3. What is the nearest to -2/7 in -3, 0, c? 0 Let f be 4 + (-6 + 3 - -3) + -2. Which is the nearest to 0? (a) 1/4 (b) -0.02 (c) f b Let s be 1 + -1 - (3 + -1). Let u be (2 - 18/4)*s. What is the closest to 0.1 in u, -0.3, -2/11? -2/11 Let f = 0.01 + -0.01. Let o be 15/70 - (-2)/7. Which is the closest to f? (a) 3 (b) o (c) 2 b Let s be (-23)/(-6) + 3/(-9). Let u = s - 4. Which is the closest to 2/3? (a) -0.3 (b) 0.5 (c) u b Let h = -2.8 + 2.99. Let q = -0.01 - h. Let n = 8.2 - 8. Which is the closest to 0.1? (a) -1 (b) n (c) q b Let n = -7 - -4. Let d = 0.3 + -0.6. Let h = -0.5 - -0.3. What is the closest to 2/3 in d, n, h? h Let f = 5.06 + -0.06. Let k = -0.1 - -0.11. Let h = 0.31 - k. Which is the nearest to -0.1? (a) h (b) -2/9 (c) f b Let s = -2 - -5. Suppose -2 = -0*f + f, -s*b + 2*f + 1 = 0. Let u be 25/14 + 10/(-35). What is the nearest to 0 in b, -0.5, u? -0.5 Let l = 72 - 72.31. Let b = 0.19 - l. What is the nearest to 1 in b, -0.3, 1/3? b Let h = -31 + 30. What is the closest to h in 2/9, -0.4, 5? -0.4 Let j = -3.08 + 0.08. Let o = j - 0. Which is the nearest to o? (a) -3 (b) -1/4 (c) -0.5 a Let s = -21 - -25. What is the nearest to
{ "pile_set_name": "DM Mathematics" }
1863505 divided by 1295? -1439 Divide -7606544 by 6. -3803272/3 Divide 85674 by -109. -786 -30933 divided by 90 -3437/10 What is 1114254 divided by -4? -557127/2 What is -9162 divided by -2? 4581 Calculate -3984 divided by 24. -166 What is -5 divided by -640939? 5/640939 -131 divided by -277 131/277 What is -21 divided by 2334? -7/778 9058600 divided by -2 -4529300 Calculate -320415 divided by 18. -106805/6 -68400 divided by -1 68400 Calculate -30492 divided by -99. 308 What is 2348691 divided by -3? -782897 Calculate 4530 divided by 906. 5 Calculate 142185 divided by -3. -47395 Calculate -4 divided by -11297. 4/11297 Divide -41409 by -41409. 1 What is 195 divided by -6498? -65/2166 What is 33401 divided by 3? 33401/3 Divide -702068 by 5. -702068/5 -243075 divided by -81025 3 469140 divided by 117285 4 What is 408920 divided by 20446? 20 What is 10372 divided by -10372? -1 -92476 divided by 33 -92476/33 Divide -2301 by 16. -2301/16 Calculate -704 divided by 88. -8 What is 3 divided by -7287? -1/2429 -44535 divided by -14845 3 Divide 454167 by 2403. 189 Calculate 2438774 divided by 2522. 967 Calculate -72698 divided by 5. -72698/5 Calculate -1 divided by 13911. -1/13911 Divide -703 by 7. -703/7 Calculate 33 divided by 269. 33/269 Divide -81438 by -4. 40719/2 -46580 divided by 5 -9316 Divide -9540 by -1908. 5 Calculate 3831 divided by -13. -3831/13 Calculate 1417630 divided by 170. 8339 What is -25 divided by -16642? 25/16642 Calculate -92475 divided by -685. 135 -22 divided by 2895 -22/2895 Calculate 108248 divided by -4. -27062 Calculate -1 divided by -416. 1/416 Divide 2 by -6351. -2/6351 Calculate -2319 divided by 24. -773/8 5276859 divided by -21 -251279 86619 divided by -2 -86619/2 Calculate -274555 divided by -5. 54911 -45090 divided by -22545 2 32624 divided by 2 16312 What is 532672 divided by -133168? -4 Calculate 1181040 divided by 29526. 40 Divide -2604545 by 520909. -5 What is -2 divided by 91199? -2/91199 Calculate -34544 divided by 8. -4318 -830895 divided by -276965 3 Divide -826602 by 6. -137767 -4 divided by 106284 -1/26571 -6384 divided by -56 114 -9 divided by 6744 -3/2248 3 divided by -38107 -3/38107 Calculate 4083 divided by 113. 4083/113 Divide 0 by 6417. 0 What is -2560596 divided by 6? -426766 What is 462254 divided by 10049? 46 Divide -19000 by -100. 190 What is -30 divided by 531? -10/177 -47949 divided by 3 -15983 -2 divided by -16099 2/16099 What is 111776 divided by 4? 27944 What is -1836136 divided by 79832? -23 Divide 64078 by 9154. 7 Divide 3852 by -136. -963/34 Calculate 0 divided by 328845. 0 5 divided by 61857 5/61857 -29 divided by 694 -29/694 What is 248 divided by -917? -248/917 Divide 43 by 933. 43/933 399366 divided by -12102 -33 Divide 498976 by 1. 498976 Calculate 22738 divided by -11369. -2 What is -3603405 divided by 13? -277185 Calculate 0 divided by -18323. 0 Calculate -6044 divided by -4. 1511 Divide -159080 by -4. 39770 Calculate -123284 divided by -9. 123284/9 What is 102997 divided by -811? -127 What is -785213 divided by -6? 785213/6 What is -5 divided by -46900? 1/9380 What is -54824 divided by -2? 27412 -11690 divided by -3 11690/3 What is 69998 divided by -8? -34999/4 Divide 29184 by 48. 608 Calculate -3894 divided by 177. -22 Calculate 9272 divided by 2. 4636 Divide 155725 by 31145. 5 Divide -89352 by -2482. 36 Calculate 298 divided by 138. 149/69 Divide 10720 by -1340. -8 What is -145053 divided by -681? 213 Calculate 79 divided by -3982. -79/3982 What is 177217 divided by -9? -177217/9 Calculate 1 divided by 31731. 1/31731 -43292 divided by 53 -43292/53 Calculate -1402 divided by 71. -1402/71 Divide -3124398 by -6. 520733 What is 1 divided by -10861? -1/10861 What is -3 divided by 17557? -3/17557 Divide -633 by 217. -633/217 Calculate -4 divided by -1850. 2/925 Calculate 0 divided by 374907. 0 Divide 14720 by 640. 23 9534 divided by -4767 -2 -290 divided by 6428 -145/3214 34 divided by -517 -34/517 Divide 442262 by -8. -221131/4 What is -24 divided by -14452? 6/3613 What is -13619976 divided by 4? -3404994 2830920 divided by -930 -3044 7846 divided by -1 -7846 164954 divided by 1231 134 Calculate -5670 divided by -26. 2835/13 What is -117984 divided by 8? -14748 Calculate -1083944 divided by 8. -135493 Divide 1034791 by -1. -1034791 Calculate 119 divided by 6644. 119/6644 What is 1954 divided by -1668? -977/834 Calculate -24106 divided by -5. 24106/5 What is 104595 divided by 5505? 19 Calculate -109234 divided by -54617. 2 Divide 1 by -294991. -1/294991 -1087200 divided by 30200 -36 What is -574 divided by -5? 574/5 Divide -1567696 by -391924. 4 Divide 959136 by -479568. -2 What is 2466 divided by -1? -2466 Divide -26842 by -3. 26842/3 Divide -501948 by -9. 55772 What is 3 divided by -41352? -1/13784 -11 divided by -378465 11/378465 What is -626262 divided by -217? 2886 What is -23898 divided by 5? -23898/5 Calculate 180928 divided by 176. 1028 -1056717 divided by 117413 -9 Divide -301122 by 16729. -18 342 divided by 679 342/679 Calculate -43 divided by -1205. 43/1205 -190686 divided by -521 366 Calculate -40770 divided by -6. 6795 Calculate 35745 divided by -2383. -15 What is -52744 divided by 4? -13186 -275940 divided by 54 -5110 459379 divided by 23 19973 Divide 485972 by -4. -121493 7578 divided by 123 2526/41 What is 1840 divided by -16? -115 What is -6400 divided by 800? -8 What is 751 divided by -50? -751/50 18326 divided by -7 -2618 Divide -5 by -461. 5/461 Calculate -75255 divided by -25085. 3 What is 28971 divided by -37? -783 3681 divided by -1227 -3 -617 divided by 16 -617/16 Calculate 6736 divided by -58. -3368/29 Calculate 96730 divided by -48365. -2 What is 20163 divided by 1551? 13 Divide -13404 by -58. 6702/29 Calculate 1138 divided by 20. 569/10 What is -429026 divided by -214513? 2 What is 1 divided by 5455? 1/5455 -355474 divided by -4 177737/2 Divide 1692750 by 13542. 125 Divide 97080 by -809. -120 -34440 divided by 420 -82 Calculate 5 divided by -222176. -5/222176 Calculate 554763 divided by 33. 16811 -1210090 divided by 14 -86435 5 divided by -389020 -1/77804 Calculate 824994 divided by 274998. 3 Divide 5 by -130306. -5/130306 What is 358657 divided by 611? 587 Divide -8 by 1. -8 What is 378784 divided by -16? -23674 Calculate 44484 divided by -132. -337 Divide -14 by -4622. 7/2311 What is -3482625 divided by 46435? -75 Calculate -3 divided by -86541. 1/28847 Calculate -99234 divided by -74. 1341 Calculate 76632 divided by -19158. -4 Calculate -52332 divided by -3738. 14 Calculate 1 divided by -9435. -1/9435 What is -743617 divided by -1? 743617 Divide 28504 by 7. 4072 Divide 2282292 by -570573. -4 -10 divided by -48015 2/9603 What is -66 divided by 74? -33/37 -52455 divided by 5 -10491 Divide 119 by -850. -7/50 Divide -31856 by -15928. 2 69180 divided by 23060 3 143820 divided by -45 -3196 Calculate -1308006 divided by 13347. -98 Calculate -616 divided by 8. -77 -3104784 divided by 388098 -8 Divide -8216 by 2. -4108 -1 divided by -876252 1/876252 Calculate 68173 divided by -9739. -7 What is -16954 divided by -2? 8477 What is -67934 divided by 1? -67934 -7565 divided by 85 -89 What is 7 divided by -293563? -7/293563 What is -80122 divided by -118? 679 Divide -148590 by 148590. -1 Calculate 20137401 divided by -3. -6712467 What is -820196 divided by -205049? 4 What is -5739980 divided by 286999? -20 Calculate -137058 divided by -106. 1293 Divide -399 by 8. -399/8 What is 64356 divided by 3? 21452 What is -1 divided by 91349? -1/91349 20106 divided by 31 20106/31 Divide 148092 by -2. -74046 55350 divided by 3 18450 Divide 19008 by -99. -192 Calculate -51 divided by 1231. -51/1231 Divide -60502 by -2327. 26 Calculate 1518849 divided by -4. -1518849/4 Divide 348360 by -20. -17418 -34 divided by 1241 -2/73 What is 2865 divided by 2? 2865/2 What is -88144 divided by 44072? -2 -71764 divided by 6524 -11 What is 351950 divided by -2? -175975 Divide 130380 by 159. 820 Divide 4 by 14948. 1/3737 What is -1684340 divided by -3710? 454 What is 106176 divided by -106176? -1 Calculate 508576 divided by 6. 254288/3 Divide -5 by -23938. 5/23938 Calculate 1042212 divided by 3. 347404 What is 510393 divided by -69? -7397 Divide -2832945 by -188863. 15 What is -9534926 divided by
{ "pile_set_name": "DM Mathematics" }
-0.0000002 Let k = 0.423 - -0.007. Let m = 5.37 + k. Round m to the nearest integer. 6 Let n = 266225 - 266224.890007. Let d = n - 0.11. Round d to 5 decimal places. -0.00001 Let n = 0.2 + 0.3. Let o = -187534.499998 + 187534. Let v = o + n. Round v to 6 dps. 0.000002 Let k = 2698.5965 + -2700. Let c = 1.4 + k. What is c rounded to three decimal places? -0.004 Suppose -2*z + 4 = -0*z. Suppose 4*f = -4*t + 2520012, -f + z*t - 110264 = -740258. What is f rounded to the nearest one hundred thousand? 600000 Let y = -77 + 76.99999995. Round y to seven decimal places. -0.0000001 Let x = 22.4 + -131.4. Let a = 162.757 + -271.826. Let w = x - a. What is w rounded to 2 decimal places? 0.07 Let y(j) = -7*j**3 - 2*j**2 - 11*j + 4. Let z be y(-11). What is z rounded to the nearest one thousand? 9000 Let s = -0.079999152 - -0.08. What is s rounded to 7 dps? 0.0000008 Let l be (3 - (4 + -2))/1 - 208. What is l rounded to the nearest 10? -210 Suppose -2*p = -2*o + 7000004, -2*p + 13999996 = 4*o - 0*p. Round o to the nearest 1000000. 4000000 Suppose 3*t = -3*k + 8*k + 29, 2*k + 4*t - 4 = 0. Let g be ((-1760)/k)/((-1)/(-750)). Round g to the nearest 100000. 300000 Let o = 14.9 - 14.707. Let h = o + -0.1930121. Round h to six dps. -0.000012 Let c = 1346.47 + -1352. Let t = c + 5.9. Round t to one dp. 0.4 Suppose 2*n - 2 = 30. Let q be (-1)/4 - 83200060/n. Let f be (-1)/(-5) + q/20. What is f rounded to the nearest one hundred thousand? -300000 Let n = -367414 - -617414. Round n to the nearest 10000. 250000 Let x = 4385803 + 8014197. Suppose -y = -3*y - x. What is y rounded to the nearest 1000000? -6000000 Suppose t + 2506 = 5*d - 6469, 4*d = -t - 9020. What is t rounded to the nearest ten thousand? -10000 Let z = 3.725 - 3.8. Round z to 2 dps. -0.08 Let z = -15 - -8. Let w = 7.000205 + z. Round w to five decimal places. 0.00021 Let b = -0.093 - 467.907. Let g = b - -469.93. Round g to 1 dp. 1.9 Suppose 416016 = -4*r + 4*a, r = -2*a - 26198 - 77794. What is r rounded to the nearest ten thousand? -100000 Let i = 0 + -7. Let s = 835 - 841.93. Let q = i - s. What is q rounded to two dps? -0.07 Let j = -5 - -3. Let m(r) = -4*r - 2. Let z be m(j). Let u be 0 + 3/(z/1400). What is u rounded to the nearest 100? 700 Let k = -0.3 - 0.3. Let g = k - -0.61. Let r = g - 0.011. What is r rounded to two dps? 0 Let s(t) = t**3 + t + 31000. Let p be s(0). Round p to the nearest ten thousand. 30000 Let c = 0.72 - 0.12. Let w = 0.625 - c. What is w rounded to two dps? 0.03 Let k = 7.58 - 8. Let m = k - -0.23. Round m to one dp. -0.2 Let j = -29.623 + 0.123. Let i = -29.499754 - j. Round i to 5 dps. 0.00025 Let p = -916765005 - -916764994.99999886. Let d = 10 + p. What is d rounded to 7 decimal places? -0.0000011 Let o = 291195.091252364 + -35.091256364. Let y = o + -291161. Let j = 1 + y. Round j to 5 decimal places. 0 Let f = 3.8 - 0.8. Let o = f - 2.9999888. What is o rounded to six decimal places? 0.000011 Let u(z) be the second derivative of -19*z**3/6 + 3*z**2 - 3*z. Let y be u(6). Round y to the nearest ten. -110 Let r = -0.098 - 0.658. What is r rounded to one decimal place? -0.8 Let g(h) be the third derivative of 61/120*h**6 + h**2 + 1/8*h**4 + 0 + 1/60*h**5 + 0*h + 0*h**3. Let v be g(-4). Round v to the nearest one thousand. -4000 Let a = 11.000011 + -11. Round a to six dps. 0.000011 Let n = -4 + 2. Let t = 1.99999995 + n. What is t rounded to 7 decimal places? -0.0000001 Let g = 8.1 - 1.58. Round g to one decimal place. 6.5 Let k = -0.1270698033 - -8.5270687333. Let f = -63.4 + 55. Let v = k + f. What is v rounded to 7 decimal places? -0.0000011 Let s = -4.04 - -4. Let f = -3.04 - s. Let p = 3.01 + f. What is p rounded to one decimal place? 0 Let c = -2598549522.908315702 + 2598549525. Let i = -0.008314652 - c. Let s = 2.1 + i. What is s rounded to seven decimal places? 0.0000011 Let f = -73 - -72.99999938. What is f rounded to 7 decimal places? -0.0000006 Let b = -54.99999946 + 55. Round b to seven decimal places. 0.0000005 Let h = -0.343 - -0.142. Round h to 2 dps. -0.2 Suppose 468668 = 4*b + 4*s + 1308668, -2*s = 0. What is b rounded to the nearest one hundred thousand? -200000 Let y be (-2)/(-2) - (-1 - 12). Suppose -3*h - y = -5*u - 39, 5 = -5*u - h. Let c be (-188)/10 - u/(-10). Round c to the nearest ten. -20 Let d(f) = f**3 - f**2 - 5*f - 3. Let h be d(4). Let x be (h*-30)/(17/612). Round x to the nearest 10000. -30000 Let b(d) = -1 - 3214166*d + 247500*d + 4. Let h be b(-6). Let p be -1 - 1 - h - -1. What is p rounded to the nearest one million? -18000000 Let k be 2/4*(8 - 0). Suppose -9 = k*n - 25. Suppose -n*f - f = -11500000. Round f to the nearest one million. 2000000 Let o = -26 - -26.00064. Round o to 4 dps. 0.0006 Suppose 5 = -6*n + n, 0 = t + 5*n - 1349998. Suppose 4*r - 1079997 = -0*c + c, 0 = 5*r + c - t. What is r rounded to the nearest one hundred thousand? 300000 Let c be 5387 - (0 - 4)/(-4). Let d = -6204 - -19590. Let j = d - c. Round j to the nearest one thousand. 8000 Let m = -38.75609 + 0.00309. Let y = m - 137.176. Let b = y - -176. Round b to two decimal places. 0.07 Suppose 0 - 10 = -2*d, -3*d + 1005 = -s. What is s rounded to the nearest 100? -1000 Suppose 3*i = -0*d - 4*d, 9 = -3*d. Suppose i*z = -5 + 21. Let t(b) = -45*b**2 + 4*b - 6. Let g be t(z). What is g rounded to the nearest one hundred? -700 Suppose 1170 = -0*s - 3*s. Round s to the nearest 100. -400 Let d = -290 + 289.999666. Round d to five dps. -0.00033 Let j = -169 - -289. Let p = -118.075 + j. Let r = p + -2. What is r rounded to two decimal places? -0.08 Let g = 149 + -90. Let n = -59.148 + g. What is n rounded to 2 dps? -0.15 Let f = 66.852 + -67. What is f rounded to 2 dps? -0.15 Let h = -153 - -150.23. Let b = h + 2. What is b rounded to 1 dp? -0.8 Let d = 7.3 + -22. Let f = d - -14.69999899. Round f to seven dps. -0.000001 Suppose -y = -0*y. Suppose -4*a - 2*a - 59400000 = y. Round a to the nearest one million. -10000000 Let y = 2.1 + -2. Let s = -0.100141 + y. Round s to five decimal places. -0.00014 Let u = -0.4 + 0.29. Let s = u + 0.1228. What is s rounded to 3 dps? 0.013 Let t = 105 - 105.000252. Round t to 5 decimal places. -0.00025 Let q be -9500003 - -1*(-3)/(-1). What is q rounded to the nearest 1000000? -10000000 Let z = -21.2 - -21.2000117. What is z rounded to 6 decimal places? 0.000012 Let n = -7 - -7.0161. Round n to three dps. 0.016 Let u be (6/(-4))/((-7)/14). Suppose 0 = -4*p - k + 3201, 1663 = 4*p - u*k - 1534. What is p rounded to the nearest one thousand? 1000 Suppose 20 = 4*s + s. Suppose 399042 + 3000961 = 2*j + 3*y, 1700004 = j + s*y. What is j rounded to the nearest 1000000? 2000000 Let u = 20 - 19.55. Round u to 1 decimal place. 0.5 Let f = -0.05268 - -0.052. Round f to 4 decimal places. -0.0007 Let f = -336.759997 + 336.74. Let g = 3 - 3.02. Let y = g - f. Round y to 5 decimal places. 0 Let a be (-4 + -1 + -3)/(-1). Let m(p) be the first derivative of -176249*p**2/2 - 8*p + 1. Let j be m(a). Round j to the nearest 100000. -1400000 Let k = 5071762 + -1761762. Round k to the nearest one hundred thousand. 3300000 Let k = -21 - -20.9963. What is k rounded to three dps? -0.004 Let r = 16011.557 - 16050.556932. Let p = r - -39. What is p rounded to five decimal places? 0.00007 Let x = 0.06 - 1.56. Let k = -1.528 - x. What is k rounded to 2 dps? -0.03 Let m = -6870.030039 - -6870.41. Let p = -0.38 + m. What is p rounded to 5 dps? -0.00004 Let x = -0.916 + 1.07. Let w = 0.2 - x. What is w rounded to 2 dps? 0.05 Let r(u) = u**3 - u**2 - 5*u + 7. Let f be r(6). Suppose 0 = -5*w + 78 + f. What is w rounded to the nearest 10? 50 Suppose -x - 2*x = -1788. Let s(t) = -2*t - 1256. Let u be s(0). Let h = u + x. What is h rounded to the nearest one hundred? -700 Let b = 203.894 - 205.9. Let p = -1.997 + -0.003. Let i = p - b. What is i rounded to 3 dps? 0.006 Let a = 0.16073604 + 3.83926416. Let p = a - 4. Round p to 6 dps. 0 Let a = 29025534 + -29025533.85000009. Let r = 0.7 + -0.55. Let u = r - a. What is u rounded to seven dps? 0.0000001 Let a(k) = -k**3 - k**2 + k + 2. Let j be a(0). Let q be (-1 + j - 2)*0. Suppose 1600000 = o - q*o. What is o rounded to the nearest 1000000? 2000000 Let m(p) = -20*p**3 + p + 2. Suppose -3*w - 5*o = 16, 2 - 4 = -2*w +
{ "pile_set_name": "DM Mathematics" }
j - h*j + 5*c. Solve 2*n = s - n - 1, -2*n = j*s - 5 for s. 1 Let l be (-3)/((-105)/1173 - 2/23). Solve 3*a + 16 = -2*t, -2*a + l*t - 19*t - 14 = 0 for a. -2 Let v(n) = 206*n - 192. Let d be v(1). Solve -14 = 2*f + p, -3*p = d + 4 for f. -4 Let v = -3038 - -3060. Solve -5*a + 9 = -2*i + 17, -v = -2*a + 5*i for a. -4 Let r = 6 + 50. Let x = r + -54. Let k be (-138)/(-42) - x/7. Solve -2 = -2*u + c, -2*c = 2*u + k*c + 10 for u. 0 Let r(y) = -2*y**2 - 49*y + 484. Let b be r(-32). Solve -b*m - f + 10 = m, 2*m + 3*f + 9 = 0 for m. 3 Suppose 2*f = 2*b + 18, 3*b - 4*f + 26 = -0*f. Let k(h) = -16*h + 15*h - 23 + 5 + 4 + 8. Let g be k(b). Solve -4*c - g*r + 12 = 0, -2*c + 4 = -r + 4*r for c. 5 Let l = 559 + -551. Let v be (-6)/l*(-392)/147. Solve -v*r + 6 = r, 2*k + 3*r = 8 for k. 1 Suppose 2*o - 4*o = -28. Suppose 3*j + 1 = 4, 4*m - o = -2*j. Solve -5*i + 4*v + 16 = 0, -4*v = -i + m*i + 16 for i. 0 Suppose -2*v = 0, 2*a + 3*v - 5*v = 8. Suppose 0 = a*y - 3*t - 73, -y = -3*t + 2*t - 17. Solve h + 5*o = y, h + 2*o = 4*o - 13 for h. -3 Let j(m) = -m**2 - 33*m - 137. Let i be j(-6). Solve 0 = -3*x + 2*t - i, 0 = -4*x - 4*t - 0*t for x. -5 Let f be 3 - 332/4*1. Let x be (f/55)/8 - (-92)/22. Solve -5*z - x*b = -18, 0 = 3*b - 4 - 2 for z. 2 Suppose 5*p - 4365 = s, -4*p + 3382 = 5*s - 139. Let o = p - 864. Solve 2*c - 4 = 2*r + 3*c, 5*r + 2*c + o = 0 for r. -2 Let c = 13268 - 13268. Suppose 3*r - 2*j = 23, 5*j + 10 = -r - 5. Solve t + r*x - x + 3 = 0, 2*t - x - 12 = c for t. 5 Suppose -7*z = -14*z. Let h(q) = 2*q**2 + 2*q + 5. Let l be h(z). Suppose 0 = -l*j - 0 + 25. Solve 15 = -j*d + 3*u, d - 2*u - 2 = -12 for d. 0 Let n(a) = 5*a**2 + 6*a + 5. Let y be n(-1). Let p be ((-84)/(-18))/(4/6) + -3. Solve y*z = p*l - 4, 0*l + 3*l = 0 for z. -1 Let h(g) = -g**3 - 3*g**2 - g - 3. Let a be h(-3). Let k = 27501 + -27496. Solve 3*c - k*s + 21 = a, c + 3*s + 2 = 9 for c. -2 Suppose -15 = -386*y + 381*y. Let i(x) = -x + 11. Let l be i(11). Let g = 3 - l. Solve -5*w - 2*z - 3 = -y*z, -3*z = g*w - 9 for w. 0 Let c(d) = -d**3 - 5*d**2 - 7*d. Let g = 42 + -45. Let j be c(g). Solve 3*n = 5*a + 7, 2*n - j*n + 5*a - 1 = 0 for n. 4 Suppose 2*o - 4*f - 40 = 0, 46*f = -4*o + 49*f + 55. Solve -y - 2 = 64*t - 69*t, -3*t = -5*y - o for y. -2 Let u = -2107 - -2109. Solve 4*m - 2 = 3*h - u*h, 0 = 3*h - 6 for m. 1 Suppose 4*z + 2*w = 10, 0 = w + 5 - 0. Suppose 0 = -4*g + 3*g + z. Solve -12 = 4*j + c, g*c - 13 - 7 = 0 for j. -4 Let v = 5 + -3. Suppose 0 = -18*l + 19 + 233. Suppose 0 = 18*s - l*s - 5*n - 17, 3*s + 5*n = 4. Solve -4*f = 2*h - 6, v*h - s = 2*f - 3*f for f. 1 Suppose 24120 + 17103 = 25*b + 10523. Solve 11 = -2*l - 5*g, b*l - 1233*l + 4*g = 11 for l. -3 Let o = 57142 + -57132. Let r = 17 + -11. Let n = r + -4. Solve g = -0*b + 2*b + o, -n*b - 4*g = 0 for b. -4 Suppose -9*s + 226 = -11*s. Let t = s - -135. Solve -4*f - 13 = -2*n + 7*n, -4*f + 2*n = -t for f. 3 Let u(h) = -14*h - 1712. Let q be u(-123). Solve -2*l - q = 4*a, -3*a = -8*l + 10*l + 5 for l. 5 Suppose 2*c = -0*b + 2*b - 14, -3*c = -4*b + 23. Suppose 0 = -r + 4*x + 54, 4*r + 12*x + 36 = 7*x. Solve -s + 6*o - 4*o = 2, b*o = -s + r for s. 2 Let p = -3440 + 3434. Let w(h) = 6 + 3*h - 6 + 20. Let l be w(p). Solve 0 + 2 = l*g + 4*c, g = c - 8 for g. -5 Suppose 590*g - 603*g + 65 = 0. Solve -5*r - x + 19 = 0, -g*x = r + 13 - 36 for r. 3 Let d = 442 + -439. Suppose g + d*z - 6 = 5, 5*g = z + 7. Solve 4*t = -5*b - 16, g*t = 1 + 1 for b. -4 Let v(j) = -154*j - 616. Let c be v(-4). Solve 5*m = -14*f + 10*f + 16, 5*f + 5*m - 15 = c for f. -1 Suppose -2844*x + 2830*x = -28. Solve -8 = -i - 2*n, x*n - 4 = 4 for i. 0 Suppose 2 = -k, 2*l - 3*k = 12 - 70. Let c = 33 + l. Suppose c + 14 = 5*s. Solve 5*x - 3*a + a = 19, s = -x - 3*a for x. 3 Let x be -1 - -17 - 18 - (-4)/(-2). Let q be (-3 + 1)/(2/5). Let i be -2 - x - 4 - q. Solve i*z + u + u = -13, 3*z = -3*u - 18 for z. -1 Suppose -8*y - 1 = -9. Let i be ((-4)/(-4) - y)/(0 + 1). Solve -s - 2*l + 3 = -0*l, i = -3*s - 5*l + 10 for s. 5 Suppose 4*g - 12 = z, g + 11 - 14 = 3*z. Solve 11 = x - g*b, -7*b = 4*x - 4*b + 16 for x. -1 Suppose -2*s - b = 0, 2*b + 7 + 1 = 0. Suppose a - 3 - 2 = 0. Solve s*p + 2 = o + 11, -25 = -4*p - a*o for p. 5 Let p(g) = -2*g**2 - 476*g - 4118. Let a be p(-229). Let w = -5 - -7. Solve -2*k + w = a*u, 5*u - 2*k + 3*k = -2 for u. -1 Suppose o - 5*n - 27 = -4, -5*o - 2*n = -61. Suppose -o*v = -44 - 60. Suppose 5*b - v*b = -15. Solve -5*t + b*z + 2 = -3, 0 = 2*t + 2*z - 6 for t. 2 Suppose 0 = t + 73*t - 417 - 397. Solve -3*k - 13*w - t = -11*w, -2*w - 8 = 2*k for k. -3 Let p(m) be the third derivative of -m**6/120 + 7*m**5/30 + 9*m**4/8 - 2*m**3/3 + 5*m**2 + 3*m. Let t be p(-2). Solve 2*s = -3*i + t*i + 14, -i + 6 = 2*s for s. 4 Suppose 0 = j + 7 - 3. Suppose 43*h - 2*x - 112 = 39*h, 4*x - 46 = -h. Let o be h/j*54/(-81). Solve -2*c - 3*i = 25, 2*i = -o*c + c - 30 for c. -5 Let b(q) = -q**3 + 30*q**2 - 222*q + 22. Let j be b(17). Solve j*v - 25 = g, -22*v - 4*g = -27*v + 40 for v. 4 Let h(m) = 3*m - 22. Let p be (9/(-4))/(5/(-20)). Let w be h(p). Suppose 19 = 4*r + 3*g, -2*g + 15 = 2*r + 5. Solve -3 = d, 0 = -r*t + w*d + 33 - 10 for t. 2 Suppose 3 = -30*p + 27*p. Let w be p/(5 - 16/3). Suppose -3*v + 5*t + 7 = -4, v + 2*t = 0. Solve -17 + w = 2*f + v*k, 3*k = f - 5 for f. -4 Suppose -4*y + 2*x + 8 = -3*y, 2*y + 2*x = -2. Solve -h = 5, -10*t + 20 = -8*t - y*h for t. 5 Suppose 0*t + 8*t = 32. Suppose -t*s - 111 = -119. Suppose -12 = s*w - 20. Solve -c - 4*c = 0, 2*q - w*c = -10 for q. -5 Let l(o) = 12*o - 165. Suppose -4*y + 5*w - 4*w = -58, 0 = 5*y - w - 72. Let k be l(y). Solve -4*s - k*f = -29, -2*f + 14 = 4*s - 4*f for s. 5 Let k(l) = 2*l - 2. Suppose 7*c - 10 = 2*c. Let s be k(c). Let h(z) = 975*z + 4882. Let t be h(-5). Solve -4*v = -5*g - 6, v - 5*g = -s*v + t for v. -1 Suppose -18 = 5*y - 11*y. Let k(h) = 8*h + 15*h**3 - 9*h**3 + 25 - 25*h - 5*h**y + 17*h**2. Let x be k(-18). Solve 4*j = -4*i - i + 16, 3*j = i - x for j. -1 Let s(f) = f**2 + 11*f - 77. Let i be 4 - ((2 - -1) + -6)/3. Let p be s(i). Solve -p*r + 2*r = -3*t + 8, -2 = -3*t - 2*r for t. 2 Suppose -5*r + 49 = -4*p, 9 = 4*r - p - 39. Solve -5*b - 20 = y, -4*y - 5*b + r = 48 for y. -5 Let o = -302 + 307. Let c(v) = v**2 + 3*v - 31. Let h be c(o). Solve 3*q = 2*s - h, -s + 4*s = q - 4 for s. -3 Let b = 14159 - 14158. Suppose 5*j = z + 3, 0 = 2*z - z + 5*j - 7. Solve -r = -b + 2, -2*r = -3*g + z for g. 0 Let a(q) = -q**3 + 11*q**2 - 26*q - 6. Let g be a(6). Solve -g = d - 5*f, 11*f - 15*f = 3*d - 22 for d. 2 Let j(h) = 3*h**2 - 55*h + 19. Let s be j(18). Suppose -b + s = -q, -3*q = -2*q - 4*b + 4. Solve 3*f = -4*u + 10, q = -f + u + 4*u - 22 for f. -2 Let g(l) = -4*l + 4. Let u be g(-3). Suppose -2*s - 2*s = -u. Let m(k) = 7*k - 54. Let q be m(8). Solve -t - s*x - 1 = 0, 2*x + 3 - q = -t for t. -1 Suppose 5*m - 18 + 8 = 0, 2*t - 2*m = -614. Let d = 310 + t. Solve -1 = -v, -2*k - d + 0 = -5*v for k. 0 Suppose -4 = -5*d + 14*b - 13*b, 3*b = d + 2. Solve 10*p - 5*p + 3*o - 3 = 0, o + d = -p for p. 3 Let i be (-2)/(-6) + 40/6. Let y be (30/35)/((-5)/((-315)/27)). Solve b + f - 4 = 0, -y*b = -b + 2*f - i for b. 1 Suppose 486 = -p + 509. Suppose 0 = 37*o - p - 88. Solve i - 5*m = 12, -2*m = i - o*m for i. -3 Let d(z) = -595*z - 7133. Let v be d(-12). Solve -v*y + 4*g + 9 = -24, 0 = -4*g + 16 for y. 7 Let w(s) = s**3 + 13*s**2 - 20*s - 14. Let n be w(-14). Suppose x + 4*x - n = 0. Suppose -x = -j - 6. Solve 2*i - 4*b + 16 = -b, -j = 2*i + b for i. -5 Let h(f) = f**3 - 4*f + 11. Let w(d) = 2*d**3 + 2*d**2 - 7*d + 23. Let q(m) = 5*h(m) - 2*w(m). Let g be q(5). Solve k + 3*k + g*t + 4 = 0, 4 = -t for k. 3 Let c be (18/15)/(14/35). Suppose 2*a + 2*k + 2 = 18, -4*k + 23 = a. Solve -5*o - 7 = d - c*d, -5*d - 29 = a*o for o. -3 Suppose -42 + 21 = -3*f - 3*k, -5 = f - 2*k. Solve -3*v = 3*u - 18, f*v - 10 = 7*u - 2*u for u. 1 Suppose -4*y - 2272 = 3*g - 2474, -y = -3*g + 182. Solve 4*n + 4*s = 0, -65 + g = n - 2*s for n. -1 Let i = 1401 - 1397. Solve v + 5*z + 25 = 5*v, -i*z - 20 = -v for v. 0 Suppose 1397*n - 1338*n = 118. Solve 0 = 5*x - 4*j - 142 + 106, x - n*j - 12 = 0 for x. 4 Suppose -2*z + 3*z - 13 = 0. Suppose 3*j - i - 1 = 0, 3*i = 4*j + z - 6. Suppose 33*h = 64*h - 62. Solve f + h*f - 7 = x, -4*x
{ "pile_set_name": "DM Mathematics" }
he nearest to 2 in 0.4, 2/13, -16/11, -1? 0.4 What is the nearest to -4/13 in -1.5, -2, 4? -1.5 What is the nearest to 2/7 in 0, 1, 15, -0.8? 0 Which is the nearest to -0.06? (a) -2 (b) 2 (c) -2/11 (d) 3 c What is the closest to -0.2 in 0.5, -4, -3/38? -3/38 Which is the closest to -1/2? (a) -3 (b) -19 (c) 0.3 (d) 2/5 c What is the nearest to 0 in 84, 0.2, -0.4? 0.2 Which is the nearest to 2/7? (a) 3 (b) -3 (c) 1 (d) 19 c Which is the closest to 1? (a) 0.4 (b) 17 (c) -45 a Which is the nearest to 1/3? (a) 22 (b) 5 (c) -2/21 c Which is the nearest to 1? (a) 1 (b) 1/3 (c) -2/11 (d) -0.4 a What is the nearest to 0 in 3/2, 0.03, -177? 0.03 Which is the closest to 1? (a) -2/15 (b) 0.5 (c) -9/5 (d) 0 b What is the nearest to -0.2 in 2, 0, 9/10, 3/5? 0 What is the nearest to 2/5 in 5, -1, -0.059? -0.059 Which is the closest to 101? (a) -2 (b) -4/3 (c) 4 c Which is the closest to -3/4? (a) -0.1 (b) 3 (c) -2/7 (d) 3/4 c What is the closest to -0.1 in 1/9, -2/4447, 1? -2/4447 What is the closest to 4/7 in -4, 5, -0.4, 2/9? 2/9 What is the closest to 0.15 in 1, 0.5, 9, -3? 0.5 What is the closest to 12 in 2/13, -1, 3/185? 2/13 Which is the closest to -2? (a) -111 (b) -3 (c) 4 (d) -2/11 b What is the nearest to -2/5 in 4.6, 5, 0.5? 0.5 Which is the closest to 0.65? (a) -3/8 (b) -0.2 (c) 1/5 c Which is the nearest to 0.8? (a) 0.5 (b) -1 (c) -2/5 a What is the nearest to -1 in -2, 7, 1/3, 21? -2 What is the nearest to 2 in -0.4, 1/3, -4/7? 1/3 Which is the closest to 12? (a) -4 (b) -2 (c) -0.4 (d) -1/2 c Which is the closest to -1? (a) 0.5 (b) -0.9 (c) 4/9 (d) -0.3 b What is the closest to -16 in 0, -3, 20? -3 What is the closest to -1/4 in 40, -2/3, 5? -2/3 What is the nearest to 0.1 in 1, -0.3, 7, -0.1? -0.1 Which is the closest to -2? (a) -2/3 (b) -14/3 (c) -5 (d) 0.5 a What is the closest to 2/3 in 2, -2, 1, -7? 1 Which is the nearest to 2? (a) -46 (b) -5 (c) -1 (d) 1/4 d Which is the closest to -3? (a) -1/24 (b) 0 (c) 15 a What is the closest to 6 in -2/437, 1/5, -3, -0.1? 1/5 What is the nearest to 1/5 in -0.06, 45, -2? -0.06 Which is the nearest to -7.3? (a) -1/6 (b) -4 (c) 4 b Which is the nearest to -1/2? (a) -3.1 (b) 3/5 (c) -5 (d) -3/4 d What is the closest to 1 in 0.018, -2, 1/5, 0.4? 0.4 What is the nearest to 0 in -51, 0.4, -1/3, 2? -1/3 What is the closest to -0.1 in -5, -4, 72? -4 What is the nearest to -2/11 in 0.3, 5, 2/7, -2/17? -2/17 What is the closest to -1 in -23/6, -1/5, -1, -0.5? -1 Which is the closest to 1? (a) 0.2 (b) -1.3 (c) 3 a What is the nearest to 1 in -24, 2/15, -2? 2/15 What is the nearest to -2 in 0.2, -0.4, -0.1, -2? -2 Which is the nearest to 0.1? (a) 5 (b) -8 (c) 0.4 c Which is the closest to -222? (a) 1 (b) -1 (c) 3 b Which is the closest to 21? (a) 2 (b) -1 (c) -0.19 a Which is the closest to 0.1? (a) -1/2 (b) 2/9 (c) -5 (d) 33 b Which is the nearest to -0.1? (a) -4 (b) 0.1 (c) 11/14 b Which is the nearest to -1? (a) -11/6 (b) 1/4 (c) 1 (d) -0.1 a What is the closest to -0.68 in -0.3, -1/5, -1? -1 What is the closest to -12 in 1, 3/5, -0.1, 0? -0.1 What is the nearest to 1 in -4, 0, 1, -16/11? 1 What is the closest to -3/4 in -0.4, -3, -20? -0.4 Which is the closest to 0.1? (a) 4 (b) -2 (c) 2 (d) 25 c Which is the nearest to 1/5? (a) -2 (b) 5 (c) 2 (d) 1/6 d What is the nearest to 0.1 in -0.94, 3/5, 2, 0? 0 What is the closest to 1 in -0.05, -2, -0.1, -8? -0.05 What is the nearest to 0 in 2/9, 3, 4/3, 2/7? 2/9 Which is the nearest to 1? (a) -6/11 (b) 1 (c) 2 (d) -5 b Which is the closest to -2? (a) -0.6 (b) -0.234 (c) 1/3 a What is the closest to 0 in 6, 1, -123? 1 Which is the nearest to 2/23? (a) -5 (b) 2 (c) -5/2 (d) 4/7 d What is the closest to -0.01 in 120, 0.4, 4? 0.4 Which is the closest to -2? (a) -0.4 (b) 0.4 (c) -1/15 (d) 0.5 a What is the nearest to 0.1 in 1, 5, -120? 1 Which is the closest to 1? (a) -0.5 (b) -0.1 (c) 3/8 (d) -0.4 c Which is the closest to 1? (a) 2/11 (b) -1.5 (c) -4 (d) 4/3 d Which is the closest to -5? (a) 1 (b) -1/9 (c) -4 (d) 1/5 c What is the nearest to -11/2 in 1/4, 2, -1.5, -4/5? -1.5 What is the closest to 0.16 in -5, -4, -0.1? -0.1 Which is the closest to -0.1? (a) -2/11 (b) 1/3 (c) -156 a What is the closest to 1/37 in 0.01, -5, -2, -3/4? 0.01 What is the nearest to -1/4 in -0.1, 1/7, 1/6, 3? -0.1 What is the nearest to 1 in -0.07, 197, 2/3? 2/3 What is the closest to 12 in 1/5, 2, 1? 2 What is the closest to -1/3 in -0.2, 2, 0.5, 6? -0.2 What is the nearest to 1 in 29, -0.1, -2/3, -3? -0.1 Which is the nearest to -6? (a) 5 (b) 7 (c) -15 c Which is the nearest to 1/3? (a) 1/5 (b) -48 (c) 2 (d) -2 a What is the closest to -8/11 in -2/9, 1, 4, 0.5? -2/9 What is the nearest to 1/5 in -4, 0.2, -1/12? 0.2 Which is the nearest to 1? (a) 0.3 (b) 1/5 (c) 1/22 a Which is the closest to 0.1? (a) -2/11 (b) 3/5 (c) -88 (d) 58 a What is the nearest to -5 in 2/5, -1161, 3? 2/5 Which is the nearest to -1/2? (a) -1 (b) -8 (c) 4 a What is the closest to 4.78 in 3, -1, 0.1? 3 Which is the closest to 1? (a) 12 (b) 0.1 (c) -3.86 b Which is the nearest to 2/7? (a) -0.4 (b) -0.5 (c) -12 (d) -0.2 d Which is the closest to -6? (a) -3 (b) -33 (c) 0.2 (d) 2 a What is the nearest to -1/3 in 5, 9, 4? 4 Which is the closest to 116? (a) 2.5 (b) 0.4 (c) 0.5 a Which is the closest to 223? (a) -0.03 (b) -0.5 (c) -5/4 a What is the closest to 0 in -0.18, -5, 2/7, -3? -0.18 Which is the nearest to 4? (a) 1/6 (b) -9 (c) -2/5 (d) -4 a What is the nearest to 10 in 3/4, -5, 1.9, -0.3? 1.9 What is the closest to -3/2 in 2/9, 1.7, -1? -1 Which is the nearest to 2/7? (a) 0 (b) 10 (c) -8 (d) -0.4 a Which is the nearest to 2? (a) 4 (b) -0.1619 (c) -2/23 (d) 1 d Which is the nearest to 0.086? (a) -11 (b) 2/9 (c) -2 (d) -4/9 b Which is the nearest to -1? (a) 8/7 (b) 5 (c) 0 c Which is the nearest to -0.1? (a) 0.1 (b) 0.4 (c) 53 (d) 1/3 a Which is the nearest to -0.1? (a) -26 (b) 1/2 (c) 4/3 b Which is the nearest to 0.5? (a) -1 (b) -2 (c) 0 c What is the closest to 0 in -2/5, -12, 0.5, 0.1? 0.1 Which is the closest to 1? (a) -0.1 (b) 2 (c) 4 b What is the closest to 0.5 in -1/4, -0.2, 8? -0.2 What is the nearest to 2/9 in -0.3, 2, -0.2, 5? -0.2 What is the nearest to -1/3 in -2, -67, 3? -2 What is the nearest to 1/3 in -4/7, -54, -2? -4/7 Which is the closest to 4/13? (a) -3/40 (b) -0.4 (c) -0.5 a Which is the nearest to -0.1? (a) -3/34 (b) -2/61 (c) -1 (d) -4 a Which is the nearest to 0? (a) -3 (b) 0 (c) -0.3 (d) -5 b What is the nearest to 0.1 in 0, 1, 2, 0.13? 0.13 Which is the nearest to -0.14? (a) -5 (b) 4/3 (c) -20 b What is the nearest to 1/2 in 1/4, 5, -5, 0.023? 1/4 Which is the nearest to -2? (a) 1/6 (b) 3 (c) -1/7 (d) 2/7 c Which is the closest to -2/5? (a) 2/7 (b) -2/9 (c) -2/19 (d) 150 b What is the closest to 1 in 16, -12/7, -0.02? -0.02 What is the closest to 0.9 in 5, -5, -55? 5 Which is the closest to 2? (a) 3 (b) 2/13 (c) 4 (d) 0.5 a Which is the closest to 0? (a) -1 (b) -0.5 (c) 5 (d) 36/29 b Which is the nearest to 73/3? (a) 1 (b) 4 (c) -5/3 b What is the closest to -1 in -0.04, 2, 3, 6? -0.04 Which is the closest to 10? (a) 3 (b) -33 (c) -0.4 a Which is the nearest to 0.36? (a) 0.5 (b) 23/3 (c) 3 a Which is the nearest to 1/2? (a) 2 (b) 0 (c) 4 (d) -0.0512 b Which is the nearest to -1? (a) 6/5 (b) -3 (c) 0.8 c What is the closest to 0.51 in 3, -0.4, -13/5? -0.4 What is the closest to 2 in 1/186, 3, -2? 3 Which is the closest to -3? (a) 0 (b) -5 (c) -2/19 (d) -17 b Which is the nearest to 4? (a) -2/13 (b) -1/2 (c) 0 (d) 86 c What is the closest to 0 in 5, -1.2, 3, 0.03? 0.03 Which is the closest to -0.1? (a) 3 (b) 0 (c) -2 (d) 18 b What is the closest to -2/5 in 53, 0, 16? 0 What is the closest to -1 in 0.2, 0.3, 2, 2/3? 0.2 Which is the closest to -0.1? (a) 0.4 (b) -6/13 (c) 9 b What is the nearest to -0.2 in -1, 4, 3? -1 What is the nearest to -0.2 in -1/2, 0.3, 95? -1/2 What is the nearest to 1/5 in -0.5, -56, -2/9, 0.5? 0.5 What is the nearest to -0.09 in -2/9, 5, -2.9? -2/9 Which is the closest to -1/4? (a) 0.4 (b) -0.1 (c) -152 b Which is
{ "pile_set_name": "DM Mathematics" }
hird derivative of 1437*z**4/8 + 3346*z**3/3 - 5082*z**2. What is the derivative of y(k) wrt k? 4311 Let l(x) = -x**5 + x**2 - 3*x - 1. Let m(o) = -2417*o**5 - 4*o**2 + 18*o + 2. Let b(n) = 2*l(n) + m(n). What is the third derivative of b(r) wrt r? -145140*r**2 Let i(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s + 0*s**5 + 0*s**6 - 29/105*s**7 + 7 + 7/6*s**4. Find the second derivative of i(a) wrt a. -696*a**2 Let i(h) be the third derivative of -1175*h**7/21 + 15*h**5/4 + h**4/24 + 11305*h**2. Find the third derivative of i(x) wrt x. -282000*x What is the first derivative of -923 - 357*i**3 + 11*i**3 + 809*i**3 wrt i? 1389*i**2 Let c be 1/(((-8)/(-60))/((-98)/(-35))). Let d(s) = 8*s**3 + s**2 - 1. Let m be d(1). What is the first derivative of 4 + 10 - c*r + m wrt r? -21 What is the third derivative of -4 + 261*f**4 + 45 - 5*f**2 + 1494*f**4 + 1515*f**4 - 817*f**4 wrt f? 58872*f Suppose 14*i - 31535 = -3941. What is the first derivative of -42*n**3 + 1971*n + 31 - i*n wrt n? -126*n**2 Let m(i) be the second derivative of -327*i**5/20 + 543*i**2 - 170*i. Find the first derivative of m(q) wrt q. -981*q**2 Let u(z) be the first derivative of z**3/3 + 731*z**2/2 + 3703*z + 4078. What is the derivative of u(l) wrt l? 2*l + 731 Suppose 491 = 7*n - 3*n - 5*d, 5*n - 610 = 5*d. Find the second derivative of 247*h**2 + n*h + 24 - 249*h + 129*h wrt h. 494 Let p(g) = -63426*g**2 - 17890*g. Let z(j) = -12685*j**2 - 3578*j. Let d(t) = -2*p(t) + 11*z(t). What is the second derivative of d(v) wrt v? -25366 Let q(j) = 77*j - 52. Let o be -1*4 + -22 + 20. Let t(p) = 79*p - 54. Let g(h) = o*q(h) + 5*t(h). Differentiate g(v) with respect to v. -67 Find the second derivative of h**3 + 77*h - 908*h**4 - h**3 + 1183*h + 448*h wrt h. -10896*h**2 Let k = -45 - -44. Let c be (10/6 + k)*(-63)/(-14). What is the first derivative of 6*h + 1 + c*h + 3 - 5 wrt h? 9 Let g(s) = 21*s**2 - 19*s**2 + 19*s + 15 - 31*s. Let z be g(5). Find the third derivative of -317*m**z + 2*m**6 + 317*m**5 + 32*m**6 + 29*m**2 wrt m. 4080*m**3 What is the derivative of 1309*b + 1420*b - 828*b + 746*b - 39 - 5797 wrt b? 2647 Find the third derivative of 6274*w**2 - 5264 - 3101*w**3 + 1124*w**2 + 5264 wrt w. -18606 Find the first derivative of -528*y - 6715*y - 3510*y - 352 - 273 - 627*y wrt y. -11380 Let b(z) = -35 + 5 + 28 + 3*z. Let g(s) = 181*s - 101. Let r(o) = -5*b(o) - g(o). Differentiate r(f) with respect to f. -196 Find the second derivative of -14790*j + 6806*j + 2598*j - 791*j**3 wrt j. -4746*j Find the first derivative of -22*i**2 - 80*i**3 - 868 - 16*i**2 - 1664 + 0*i**2 - 1278 wrt i. -240*i**2 - 76*i Let x(v) = 805*v**3 + 2*v**2 - 29*v + 4. Let q(y) = -2*y**3 + y**2 - 2*y + 2. Let g(c) = 2*q(c) - x(c). What is the second derivative of g(z) wrt z? -4854*z Let g(u) = 992*u**2 + 834*u. Let j(y) = -991*y**2 - 833*y. Let s(i) = -4*g(i) - 5*j(i). Find the second derivative of s(t) wrt t. 1974 Let j(o) = -253*o - 1. Let h(y) = 13863*y + 3472. Let n(s) = h(s) + 5*j(s). Differentiate n(q) with respect to q. 12598 Suppose 8*y = 8 + 16. Suppose 7*l - 2*l = 5. Differentiate 3*q**y + 18 + l + 12*q**3 with respect to q. 45*q**2 Let p(o) = 9738*o + 5816. Let x(l) = -6495*l - 3877. Let i(f) = -5*p(f) - 7*x(f). What is the derivative of i(d) wrt d? -3225 Find the first derivative of -28515*g**4 - 2*g**3 + 27915*g**4 - 347 + 2*g**3 - 1422 wrt g. -2400*g**3 What is the third derivative of 452*z**5 - 17*z**2 - 1603*z**5 + 8 - 18*z**2 + 3 wrt z? -69060*z**2 Let j(i) be the first derivative of 1/5*i**5 - 88 + 0*i**4 - i - 121/3*i**3 + 9/2*i**2. What is the second derivative of j(b) wrt b? 12*b**2 - 242 What is the second derivative of -817*b + 8 + 24 - 33 + 1609*b**2 wrt b? 3218 Let o(n) be the third derivative of 0*n + 11*n**2 + 11/120*n**5 + 0 + 19/6*n**3 - 1/6*n**4. Let j(s) be the first derivative of o(s). Differentiate j(a) wrt a. 11 Let w(g) = 7*g**2 - g - 4. Let c = 14 - 21. Let x be w(c). What is the first derivative of -5 - 346*l + 16*l**4 + x*l wrt l? 64*l**3 Let l(o) be the third derivative of 5*o**8/336 + o**7/210 + 29*o**6/60 - o**5/30 + 427*o**3/3 - 2*o**2 + 3018. What is the third derivative of l(k) wrt k? 300*k**2 + 24*k + 348 Let a(g) = 225*g**2 - 283*g + 22. Let o(l) = 10*l - 605 + 56*l**2 - 72*l + 611 - 9*l. Let t(m) = 6*a(m) - 22*o(m). Find the second derivative of t(y) wrt y. 236 What is the first derivative of -2*t - 276 + 6*t + 109*t**3 - 438 + 31 - 49 wrt t? 327*t**2 + 4 Let r(m) = -962*m**6 + 46*m**2 - 7*m + 21. Let j(x) = 641*x**6 - 31*x**2 + 5*x - 15. Let y(w) = 7*j(w) + 5*r(w). Find the third derivative of y(p) wrt p. -38760*p**3 Let r(i) be the third derivative of 21*i**4/8 + 27*i**3/2 - 47*i**2. Let d(m) = -251*m - 325. Let k(f) = -2*d(f) - 9*r(f). What is the derivative of k(s) wrt s? -65 Differentiate -3633*x + 683 + 109 - 41 + 1508 wrt x. -3633 Let k = 625 + -623. Find the first derivative of -22 + 33*u + 14*u**2 - 11*u**k + 5 - 62 - 32 wrt u. 6*u + 33 Find the third derivative of -898*v**4 + 815*v**4 - 9*v**5 + 5744*v**2 + 8*v**6 + 9*v**5 wrt v. 960*v**3 - 1992*v Let t(k) be the second derivative of 0*k**3 + 0 + 32/5*k**5 - 82*k**2 + 191*k + 0*k**4. Differentiate t(l) with respect to l. 384*l**2 Let y = 9 + -16. Let g(w) = w**2 + 3*w - 22. Let d be g(y). What is the second derivative of -51*m**5 + 34*m**5 - d*m + 3*m**4 - 3*m**4 wrt m? -340*m**3 Let b(j) = 3*j - 23. Let v be b(9). Suppose v*h - 2*o - 16 = 2*o, 3*o - 6 = -3*h. What is the second derivative of 159*d**4 + 18*d - 3 + h - 110*d**4 wrt d? 588*d**2 Suppose 6*d - 1804 = 1082. Differentiate 1083*f**2 - 107 - 486*f**2 - d*f**2 wrt f. 232*f Let k(t) be the second derivative of -230*t**7/21 - 16*t**3 - t**2 + 17*t - 7. Find the second derivative of k(n) wrt n. -9200*n**3 Find the third derivative of -220 + 336 + 871*a**5 + 83*a**2 - 113 wrt a. 52260*a**2 Let f(s) be the third derivative of 2833*s**6/120 + 301*s**5/6 + 1804*s**2. What is the third derivative of f(c) wrt c? 16998 Suppose -1 = -6*q + 23. What is the first derivative of q*c + 57*c**3 - 98 + 0*c - 3*c + 66 wrt c? 171*c**2 + 1 Suppose -3*n - g - 12 = -2*n, -3*n - g - 34 = 0. Let w be n/44 + (-5)/(40/(-66)). Differentiate 15 + w*d**2 + 7*d**2 + 18 - 6*d**2 wrt d. 18*d Let q(n) be the second derivative of -2*n**5/5 - n**4/4 - 2*n**3/3 - n**2 - 41*n. Let o be q(-1). Differentiate 2*c**3 - 21*c**2 + 21*c**2 + 2 + o*c**3 wrt c. 27*c**2 Let l(j) = -1715*j**2 - 12*j + 1521. Let y(u) = -1714*u**2 - 14*u + 1511. Let p(v) = 7*l(v) - 6*y(v). Differentiate p(r) with respect to r. -3442*r Let k = -9737 - -14290. Find the third derivative of 76*o**3 + 4553 - o**2 + o - k wrt o. 456 Let b(l) be the first derivative of 61*l**4/4 + 1223*l**3/3 + 957. Find the third derivative of b(i) wrt i. 366 Let m(i) be the third derivative of 40*i**2 - 1/30*i**5 + 53/6*i**3 + 1/12*i**4 + 0*i + 0. What is the first derivative of m(k) wrt k? -4*k + 2 Let r(a) be the second derivative of a**7/7 - 59*a**5/20 - 5*a**4/2 + a**3/6 - 2456*a. Find the third derivative of r(c) wrt c. 360*c**2 - 354 Let m(g) be the third derivative of 11*g**5/60 - 7*g**4/24 + 1273*g**3/6 + 274*g**2 + 2*g. What is the derivative of m(y) wrt y? 22*y - 7 Let f(b) be the first derivative of b**3/3 - 3*b**2 - 7*b - 13. Let l be f(-3). What is the second derivative of 18*p - 22*p**5 - 11*p - l*p wrt p? -440*p**3 Let s(c) = -1. Let g(a) = 34*a - 58. Let w(t) = g(t) + s(t). Let l(q) = -q**2 - q + 1. Let y(r) = 2*l(r) + w(r). Differentiate y(k) with respect to k. -4*k + 32 What is the second derivative of 3329*t - 3*t**4 + 2*t**3 - 8779*t - 193*t**5 + 3813*t wrt t? -3860*t**3 - 36*t**2 + 12*t Let f(h) = -2*h**3 + h - 1. Let w(c) = 9*c**4 - 4*c**3 + 3*c**2 + 2*c - 1561. Let r(b) = -2*f(b) + w(b). Find the first derivative of r(q) wrt q. 36*q**3 + 6*q Suppose -5*u + 14 = 5*h + 64, 60 = -5*h - 3*u. Let l be h/(-4) + 2/8. Find the second derivative of 9*w - 4*w**4 - 13*w**l - 8*w**4 wrt w. -300*w**2 What is the second derivative of 5*f**2 - 47*f - 244*f - 2*f**2 - 168*f**3 + f**2 - 1031*f wrt f? -1008*f + 8 Let i(a) be the second derivative of a**6/15 + a**5/10 - 191*a**4/4 - a**3 + 69*a**2/2 + 2222*a. What is the second derivative of i(w) wrt w? 24*w**2 + 12*w - 1146 Differentiate -4341*b - 6509 - 99*b - 2005*b -
{ "pile_set_name": "DM Mathematics" }
h and 121/6? 42 Let c be 4*15/100*5. Calculate the lowest common multiple of (-1170)/(-24) + c/(-4) + 0 and 33. 528 Suppose 5*c + 5*p = -5, 4*p + 0 + 7 = -3*c. Suppose -7*k = -25*k + 324. What is the least common multiple of ((-7)/3 + c)*30 and k? 180 Let x(l) = -l**3 - 6*l**2 - 5*l - 2. Let d be x(-5). Let f(u) = 2*u**2 + 3*u + 4. What is the least common multiple of f(d) and 12? 12 Suppose 11*v - 8616 = 17*v. Let y = v + 14311/10. Let r = -2941/2 - -1505. Calculate the common denominator of y and r. 10 Let m(h) = -9*h - 1. What is the lowest common multiple of -16 - (-22 + 4) - -1*6 and m(-3)? 104 Suppose 2*x - 6*x = -u - 46, 2*x + u - 26 = 0. What is the least common multiple of 192 and x? 192 What is the smallest common multiple of (267/(-9))/((-6)/18) and 18? 1602 Suppose 3*i = -2*o + 22, 4*i - 4*o - 16 = -0*i. Let d(n) = 7*n**2 - 84*n + 5. What is the smallest common multiple of d(12) and i? 30 Let i = 111 + 45. Find the common denominator of 27/8 and (-14)/((-40)/i*12). 40 Suppose 44*s + 20 = 49*s. Let u = 9 - 5. What is the least common multiple of s and u/10*(-1 - -41)? 16 Let d be 51/34*1*2. Suppose -2*h - 11 = -s, -d*h - 7 + 62 = 5*s. What is the smallest common multiple of 10 and s? 110 Let w = 10791 - 10786. Let j = 22 - 13. Calculate the smallest common multiple of w and j. 45 Let u(l) = -3*l + 15. Calculate the least common multiple of 60 and u(-17). 660 Find the common denominator of 0 and 28/112 - (-125)/4. 2 Suppose 26*n = 25*n + 3. Suppose -n*a = g - a - 6, 4*g - 30 = -5*a. Calculate the lowest common multiple of g and 13. 130 Let f = -41 + 38. Find the common denominator of -13/10 and (0 - 46/(-10)) + f. 10 Let t(i) = 11134*i + 19. Let u be t(4). Let l = -1069471/24 + u. Find the common denominator of 31/12 and l. 24 Suppose 2*a = -4*m - 292, 3*a - 2*m = 2*m - 448. Suppose -3*f - f = -16. Calculate the least common multiple of f and a/(-18) + 18/(-81). 8 Suppose 6*f + 303 = 9*f. Let h(l) = -3*l**2 + 4*l + 5. Let p be h(-4). Let v = p + f. What is the common denominator of v and 55/8? 8 Let c = -19 - -33. Suppose 2*m = 4*m - 4*j - 112, 2*j = -3*m + 160. Suppose -11*g = -14*g + m. What is the least common multiple of c and g? 126 Let l be (-164572)/(-10) - (-4)/(-20). Let i = l + -329209/20. What is the common denominator of 140/(-240)*18/(-28) and i? 40 Let b = 29 + -18. Let y = b - 15. What is the common denominator of -3/4 and (-2)/y*1296/160? 20 Suppose 2*c - 3*p - 6 = 0, 4*c + 5*p + 20 = 54. What is the smallest common multiple of c and (0 + -5 + 8)*7? 42 Suppose 2*l + d - 1 = -0, l = -d. Let w be (-3 - 10) + l/(-1). What is the common denominator of 21/4 and w/15*102/(-8)? 20 Suppose x + 16*x = 12444. What is the lowest common multiple of x and 18? 2196 Let s(q) = -7 + 37 + 10*q - 11*q**2 - 7*q**2 + 17*q**2. Calculate the smallest common multiple of (-34)/(-4) - 2/4 and s(10). 120 Let y = -7 + 10. Let i be (8/(-6))/(y/(-234)). Suppose 5*d = i - 14. Calculate the lowest common multiple of d and 6. 18 What is the common denominator of (12 - 6492/252) + 10 and 0 + 172/66 + -1? 231 Suppose 59 + 29 = 4*m. What is the least common multiple of m and 5*((-1296)/(-240) + 0 + -5)? 22 Let u = -8 - -10. Suppose 8 = x + 3*x + 4*s, 0 = -s + 1. What is the lowest common multiple of u and x? 2 Let n be (0 + 3 - 3) + 0. Let l(y) = y**3 - y**2. Let i be l(n). Suppose 8*o + i*o - 16 = 0. Calculate the lowest common multiple of 11 and o. 22 Suppose -1008 = 2*y + 4190. Let l = 20753/8 + y. Let z(g) = -g**3 + 4*g**2 + 5*g - 5. Find the common denominator of z(6) and l. 8 Let y be 4666/(-28)*35/(-14). Let h = -3072/7 + y. Calculate the common denominator of 28*(-1)/(9/2) and h. 36 What is the lowest common multiple of 8 and -50*(4 + -2 - 3)? 200 Let g be 12/2*(-6)/(-4). Let h = -5 + g. Suppose -788*c + 777*c = -77. What is the smallest common multiple of h and c? 28 Suppose 1067 = 79*k - 23*k - 165. Calculate the lowest common multiple of 0 - -1*1*12 and k. 132 Calculate the lowest common multiple of 224 and (-222)/(-2) + 4*9/36. 224 Suppose -6 = -r - r, 0 = -m + r. Find the common denominator of 1/11 and (60 - 1)*m/9. 33 Suppose -5*y + 195 = 5*u, -20 = 2*u - 7*u. Let d = 65 - y. What is the least common multiple of d and 7? 210 Let d(r) be the second derivative of -r**3/6 - r**2/2 + 18*r. Calculate the smallest common multiple of 41 and d(-8). 287 Calculate the common denominator of -55/9 and ((-2)/20)/((-2)/(-84)*3). 45 Let x(w) = 2*w + 120. What is the smallest common multiple of x(-36) and 12? 48 Suppose -10*t + 1391 = -2659. Calculate the least common multiple of 15 and t. 405 What is the smallest common multiple of 18 and 36*-2*(-2)/8? 18 Let q(h) = -3*h - 13. Let u(d) = -16*d - 12. What is the smallest common multiple of u(-2) and q(-9)? 140 Calculate the common denominator of 3 + -4 - 38/32 and 90/225 + (-39)/460. 368 Calculate the common denominator of 64/3 and (320/(-1610))/((-15)/35). 69 Let u(h) = -2*h**2 - 9*h + 9. Let w be u(-5). Calculate the lowest common multiple of 3 and 21*4/12 + w. 33 Suppose 4*k - 104 = 2*z, 4*z = -k - 0*k + 17. Let g be (0 - 0) + (-180)/(-10). What is the common denominator of g/20*k/(-40) and 21/4? 16 Let x = -241/102 - 7/51. Let m = -2903875/62 - -46838. What is the common denominator of m and x? 62 Suppose -y + 4*y - 6 = 0. Let j(b) = 3*b**2 - 7*b - 22. What is the least common multiple of y and j(5)? 18 Let n = 1185 - 1173. What is the smallest common multiple of 620 and n? 1860 Let g = 4803/7 - 288019/420. What is the common denominator of g and -49/108? 540 Suppose 10*x - 7*x = 63. Find the common denominator of (92/x)/((-10)/(-15)) and 47/7. 7 Let w(j) = -j**2 + 25*j - 147. What is the least common multiple of 74 and w(14)? 518 Let s = 6 + -145. Let w = 1527/11 + s. Calculate the common denominator of 35/9 and w. 99 Calculate the common denominator of (-58)/(-40) - (11 - 8) and -67/6. 60 Find the common denominator of 93/118 and -4 - (-3 + ((-52)/16 - 4)). 236 Let l = 7 - -2. Let w = 5 - -3. What is the least common multiple of w and l? 72 Let w be 11969325/2268 - (-4)/(-14). Let p = -1033957 - -4114743/4. Let f = p + w. Find the common denominator of f and 29/8. 72 Suppose -j = -3*t + 533, -931 + 41 = -5*t + 2*j. What is the least common multiple of 64 and t? 704 Let n(v) = v**2 - 12*v - 18. Let w be n(17). Let y = w + -55. Calculate the smallest common multiple of y and 48. 48 Suppose 2*i + 15 = 4*i - 3*l, 2*l - 6 = 0. What is the smallest common multiple of 20 and i? 60 Let r = 12868/11 + -1172. Let j(l) = -l**3 - 4*l**2 + 6*l - 6. Let t be j(-5). What is the common denominator of 1/t*1*-41 and r? 11 Let q = 873361/378 - 1334/27. Let f = q - 2256. Find the common denominator of f and 41/18. 126 Suppose 0 = -o + 1, -4*z = -4*o - 3 - 5. Let t = 4 - 2. What is the lowest common multiple of z and t? 6 Let s be (-19)/1 + (-1)/1. Let p = 36 + s. Suppose -2*b + p = -20. What is the lowest common multiple of 38 and b? 342 What is the lowest common multiple of 7 + -2 + -8 + 5 + 7 and 2/4*(49 + -1)? 72 Find the common denominator of (-1)/5 + 16124/(-44080) and 131/114. 228 Let b = -91329/13532 - 3/3383. Find the common denominator of (-336)/9*(-1)/6 and b. 36 Let g be (-7 - 1)*(4 - (-21)/(-6)). Calculate the smallest common multiple of g/(-4 - (-78)/21) and 4. 28 Let i(p) = 3*p - 1. Let t(n) = n + 12. Let s be t(-8). Suppose 0 = q - 2*h - 11 + 2, 5*q + s*h = 45. Calculate the lowest common multiple of q and i(2). 45 Let s = 1185 - 11899/10. Let m = 13/5 - s. Calculate the common denominator of -103/10 and m. 10 Let o be 177*((1335/438)/(-1) + 3). Let r = o + -1/73. Calculate the common denominator of r and 79/20. 20 Let g be 3/18*(-16494)/104. Let r = -251/13 - g. Calculate the common denominator of -46/3 and r. 24 Suppose 0*h + 24 = 4*h. Calculate the smallest common multiple of h and 12 + -11 + (-2 - -8). 42 Suppose 520 = 10*d - 5*d + 5*f, 336 = 3*d - 3*f. Calculate the lowest common multiple of 2 and d. 108 Let z = -143 - -77. Let o = z + 68. Calculate the lowest common multiple of o and 18. 18 Let k be 2/(-3) + (4 - (-22666)/4992). Let c = 1/832 + k. Calculate the common denominator of c and 57/16. 16 Let z = -19064 - -1906381/100. Calculate the common denominator of z and 47/20. 100 Let r = 27
{ "pile_set_name": "DM Mathematics" }
given that -o**3/3 + 3*o**2 - 5*o + 7/3 = 0. 1, 7 Suppose a**4 + 7*a**3 + 13*a**2 - 3*a - 18 = 0. What is a? -3, -2, 1 Factor -4*j**3 + 100*j**2 + 4*j - 100. -4*(j - 25)*(j - 1)*(j + 1) Factor 2*x**4 - 174*x**3 + 5406*x**2 - 72250*x + 353736. 2*(x - 36)*(x - 17)**3 Determine m so that -2*m**3/15 + 8*m**2/15 - 8*m/15 = 0. 0, 2 Let 2*d**3/5 - 96*d**2 - 1944*d/5 - 1952/5 = 0. What is d? -2, 244 Find m, given that -3*m**3/8 + 15*m**2/8 + 51*m/8 - 63/8 = 0. -3, 1, 7 Factor 4*d**2 + 5824*d + 5820. 4*(d + 1)*(d + 1455) What is i in 5*i**2/4 + 885*i/4 - 445/2 = 0? -178, 1 Factor -d**3 - 52*d**2 - 885*d - 4950. -(d + 15)**2*(d + 22) Let -96*v**2 + 106*v - 10 = 0. What is v? 5/48, 1 Determine h, given that -2*h**3 - 10*h**2 - 12*h = 0. -3, -2, 0 Factor w**4/4 - 33*w**3/2 + 793*w**2/4 + 2442*w + 5476. (w - 37)**2*(w + 4)**2/4 Solve -f**5/4 - 5*f**4 - 87*f**3/4 - 8*f**2 + 35*f = 0. -14, -5, -2, 0, 1 Factor -4*k**2 + 132*k. -4*k*(k - 33) Factor 3*p**4 + 14427*p**3/4 + 2169009*p**2/2 + 1083603*p/4. 3*p*(p + 601)**2*(4*p + 1)/4 Determine a so that -2*a**5 - 6*a**4 + 2*a**3 + 22*a**2 + 24*a + 8 = 0. -2, -1, 2 Determine r so that -4*r**5/3 + 167*r**4/3 - 118*r**3/3 - 208*r**2/3 + 122*r/3 + 41/3 = 0. -1, -1/4, 1, 41 Solve -4*m**4 - 8*m**3 - 4*m**2 = 0. -1, 0 Factor 3*h**4 + 1071*h**3 - 2151*h**2 + 1077*h. 3*h*(h - 1)**2*(h + 359) Factor 2*d**3/11 + 6024*d**2/11 - 12054*d/11 + 548. 2*(d - 1)**2*(d + 3014)/11 Factor -2*n**2 + 74*n - 572. -2*(n - 26)*(n - 11) Factor -3*h**5/8 + 3*h**4/4 + 3*h**3. -3*h**3*(h - 4)*(h + 2)/8 Suppose -k**4 - 8*k**3 + 44*k**2 - 48*k = 0. What is k? -12, 0, 2 Factor -c**3/5 - 202*c**2/5 - 10201*c/5. -c*(c + 101)**2/5 Factor n**3 + 27*n**2 - 30*n - 56. (n - 2)*(n + 1)*(n + 28) Let 2*f**5/11 + 8*f**4/11 = 0. What is f? -4, 0 Solve 2*o**2/9 + 298*o/9 - 728/3 = 0. -156, 7 What is m in 44*m**4 + 36*m**3 - 52*m**2 - 36*m + 8 = 0? -1, 2/11, 1 Factor -5*t**4 + 30*t**3 - 65*t**2 + 60*t - 20. -5*(t - 2)**2*(t - 1)**2 Factor 2*p**4 + 4140*p**3 + 2860728*p**2 + 662710516*p + 1962496614. 2*(p + 3)*(p + 689)**3 Factor 11*p**3/4 - 135*p**2/4 + 333*p/4 - 81/4. (p - 9)*(p - 3)*(11*p - 3)/4 Factor -5*p**4 + 1740*p**3 - 203550*p**2 + 8199500*p - 22813125. -5*(p - 115)**3*(p - 3) Factor -3*p**3 - 114*p**2 + 1989*p. -3*p*(p - 13)*(p + 51) Determine g so that 86736387*g**2 - 64524*g + 12 = 0. 2/5377 Solve -u**4 - 6*u**3 - 12*u**2 - 10*u - 3 = 0 for u. -3, -1 What is z in 4*z**3/5 + 48*z**2 + 1532*z/5 + 2544/5 = 0? -53, -4, -3 Let -a**3/2 - 295*a**2/2 + 2*a + 590 = 0. Calculate a. -295, -2, 2 Suppose 2*f**2/13 - 68*f/13 = 0. Calculate f. 0, 34 Suppose -9*y**2/7 - 372*y/7 = 0. What is y? -124/3, 0 Factor 235*g**2 - 233*g - 2. (g - 1)*(235*g + 2) Factor -y**3/4 + 23*y**2/4 - 31*y/2 + 10. -(y - 20)*(y - 2)*(y - 1)/4 What is t in -2*t**5/9 - 82*t**4/3 - 3362*t**3/3 - 137842*t**2/9 = 0? -41, 0 Let -2*s**3/15 + 22*s**2/15 - 4*s = 0. What is s? 0, 5, 6 Let h**5/8 + h**4/8 - 5*h**3/4 - 5*h**2/4 + 9*h/8 + 9/8 = 0. What is h? -3, -1, 1, 3 What is w in -60*w**5 + 40*w**4 + 65*w**3 - 45*w**2 - 5*w + 5 = 0? -1, -1/3, 1/2, 1 Factor w**4/3 - 74*w**3/3 + 452*w**2/3 + 1130*w/3 + 201. (w - 67)*(w - 9)*(w + 1)**2/3 Factor -2*g**2 + 34*g - 120. -2*(g - 12)*(g - 5) Factor -y**4/2 + 44*y**3 + 9*y**2/2 - 396*y. -y*(y - 88)*(y - 3)*(y + 3)/2 Let -75*i**5 - 980*i**4 - 4580*i**3 - 8880*i**2 - 6080*i - 1280 = 0. What is i? -4, -2/3, -2/5 Determine j, given that j**3 + 103*j**2 - 4*j - 412 = 0. -103, -2, 2 Factor g**2/2 + 2237*g + 5004169/2. (g + 2237)**2/2 Determine k, given that 3*k**2 + 435*k - 882 = 0. -147, 2 What is m in 2*m**5 + 27*m**4 + 93*m**3 + 112*m**2 + 36*m = 0? -9, -2, -1/2, 0 Suppose -289*o**5/3 - 697*o**4 - 3370*o**3/3 - 236*o**2 - 40*o/3 = 0. Calculate o. -5, -2, -2/17, 0 Find o such that -3*o**3 - 516*o**2 + 2100*o - 2112 = 0. -176, 2 Factor 2*h**2/5 - 10*h + 252/5. 2*(h - 18)*(h - 7)/5 Find w, given that 4*w**3 + 64*w**2 + 208*w + 192 = 0. -12, -2 Factor 3*r**3 + 99*r**2 + 96*r. 3*r*(r + 1)*(r + 32) Factor 14*s**3/13 - 10*s**2/13 - 32*s/13 - 8/13. 2*(s - 2)*(s + 1)*(7*s + 2)/13 Factor z**3/4 - 3*z**2 - 36*z + 432. (z - 12)**2*(z + 12)/4 Determine s so that 5*s**4 - 185*s**3 - 590*s**2 - 400*s = 0. -2, -1, 0, 40 Let 5*u**4 - 35*u**3 + 25*u**2 + 35*u - 30 = 0. Calculate u. -1, 1, 6 Factor 9*k**3/4 - 35*k**2/2 + 23*k + 6. (k - 6)*(k - 2)*(9*k + 2)/4 Solve -3*i**2 + 648*i - 34992 = 0. 108 Factor -2*g**3 - 3*g**2 + 32*g - 15. -(g - 3)*(g + 5)*(2*g - 1) Let h**3/6 + 205*h**2/6 + 1583*h/6 + 1379/6 = 0. Calculate h. -197, -7, -1 Factor -3*p**4 + 24*p**3 - 66*p**2 + 72*p - 27. -3*(p - 3)**2*(p - 1)**2 Factor -q**2 + 9. -(q - 3)*(q + 3) Determine n so that 3*n**5 + 552*n**4 + 23688*n**3 - 156198*n**2 + 294405*n - 162450 = 0. -95, 1, 2, 3 Suppose 2*s**2/9 + 4*s/3 = 0. What is s? -6, 0 What is s in -2*s**5/7 - 6*s**4 - 38*s**3/7 + 6*s**2 + 40*s/7 = 0? -20, -1, 0, 1 Factor -3*m**3/2 - 87*m**2/2 - 219*m + 264. -3*(m - 1)*(m + 8)*(m + 22)/2 Factor 5*d**4 - 35*d**3 - 40*d**2. 5*d**2*(d - 8)*(d + 1) Determine y so that -2*y**2 + 120*y - 118 = 0. 1, 59 Let -2*k**4/19 + 8*k**3/19 + 6*k**2/19 - 28*k/19 + 16/19 = 0. Calculate k. -2, 1, 4 Factor -52*n**2/3 + 292*n + 136/3. -4*(n - 17)*(13*n + 2)/3 Solve 3*i**5 + 12*i**4 - 33*i**3 - 186*i**2 - 240*i - 96 = 0. -4, -2, -1, 4 Factor -4*w**3 - 192*w**2 - 2228*w - 2040. -4*(w + 1)*(w + 17)*(w + 30) Suppose -2*f**2/11 - 16860*f/11 - 35532450/11 = 0. What is f? -4215 Solve -2*q**3/3 + 50*q**2/3 + 52*q/3 = 0 for q. -1, 0, 26 What is t in -t**3/2 - t**2 = 0? -2, 0 Factor -2*r**5 - 4*r**4 + 24*r**3 - 28*r**2 + 10*r. -2*r*(r - 1)**3*(r + 5) Factor 2*g**4/5 - 22*g**3/5 - 218*g**2/5 + 238*g/5. 2*g*(g - 17)*(g - 1)*(g + 7)/5 Find t, given that 2*t**2 - 96*t + 864 = 0. 12, 36 Find k, given that 12*k**2 + 189*k - 48 = 0. -16, 1/4 Let h**5/5 - 34*h**4/5 + 49*h**3/5 + 96*h**2 = 0. What is h? -3, 0, 5, 32 Factor 4*u**4 + 116*u**3 + 888*u**2 + 1584*u - 2592. 4*(u - 1)*(u + 6)**2*(u + 18) Determine w so that 4*w**2 - 376*w + 8836 = 0. 47 Factor 2*n**5/3 + 26*n**4/3 - 30*n**3 + 94*n**2/3 - 32*n/3. 2*n*(n - 1)**3*(n + 16)/3 Solve -2*q**4/7 - 22*q**3/7 + 2*q**2 + 310*q/7 - 300/7 = 0 for q. -10, -5, 1, 3 Factor -2*u**2/3 + 16*u/3 - 14/3. -2*(u - 7)*(u - 1)/3 Factor -2*j**2 - 2*j + 264. -2*(j - 11)*(j + 12) Solve -3*c**4/5 + 84*c**3/5 - 432*c**2/5 + 816*c/5 - 528/5 = 0. 2, 22 Determine q so that -4*q**2/9 + 3256*q/9 - 662596/9 = 0. 407 Factor -2*g**3/5 - 34*g**2/5 - 112*g/5 - 104/5. -2*(g + 2)**2*(g + 13)/5 Factor 3*j**5/4 - 6*j**4 + 9*j**3/2 + 81*j**2 - 1053*j/4 + 243. 3*(j - 3)**4*(j + 4)/4 Factor -v**4/2 + 7*v**2/2 + 3*v. -v*(v - 3)*(v + 1)*(v + 2)/2 Factor 2*q**3/15 - 32*q**2/15. 2*q**2*(q - 16)/15 Let -2*r**4/5 + 156*r**3/5 - 744*r**2/5 + 1028*r/5 - 438/5 = 0. What is r? 1, 3, 73 Determine z so that -6*z**4/5 + 16*z**3/5 + 34*z**2/5 - 4*z/5 - 16/5 = 0. -1, 2/3, 4 Factor -3*g**3 + 6*g**2 + 15*g - 18. -3*(g - 3)*(g - 1)*(g + 2) Determine f so that 5*f**4 + 22*f**3 + 29*f**2 + 12*f = 0. -12/5, -1, 0 Factor -4*w**2/9 - 1304*w/9 + 2624/9. -4*(w - 2)*(w + 328)/9 Solve 25*y**3/3 - 115*y**2/3 - 200*y/3 - 20 = 0 for y. -1, -2/5, 6 Factor -y**3/4 - 129*y**2/2 - 5547*y - 159014. -(y + 86)**3/4 Find y such that 2*y**5 + 328*y**4 - 6*y**3 - 980*y**2 + 656*y = 0. -164, -2, 0, 1 Factor 123*t**2/4 - 1311*t/4 - 231/2. 3*(t - 11)*(41*t + 14)/4 Factor -g**3/2 - g**2/2 + 66*g. -g*(g - 11)*(g + 12)/2 Find q, given that -q**4/3 - 47*q**3/6 - 11*q**2/3 + 23*q/6 = 0. -23, -1, 0, 1/2 Determine g, given that -2*g**4/15 + 14*g**3/5 - 74*g**2/15 - 14*g/5 + 76/15 = 0. -1, 1, 2, 19 Solve 3*w**2 + 156*w = 0. -52, 0 Find o, given that -4*o**4 + 32*o**3 + 40*o**2 - 32*o - 36 = 0. -1, 1, 9 Determine a, given that -2*a**2/5 + 52*a/5 = 0. 0, 26 Solve z**5/2 + 11*z**4/2 - 19*z**3 - 301*z**2 + 245*z/2 + 8575/2 = 0. -7, 5 Solve 2*o**4/11 - 4*o**3 + 216*o**2/11 + 972*o/11 - 7290/11 = 0. -5, 9 Let 4*v**2/9 - 20*v/9 + 8/3 = 0. Calculate v. 2, 3 Determine o, given that -5*o**3 - 45*o**2 - 30*o + 80 = 0. -8, -2, 1 Factor 4*g**2 - 16*g - 48. 4*(g - 6)*(g + 2) Factor 5*a**4 + 15*a**3 - 10*a**2 - 60*a - 40. 5*(a - 2)*(a + 1)*(a + 2)**2 Factor -b**2/2 + 271*b/2 + 136. -(b - 272)*(b + 1)/2 Solve -5*v**5 - 110*v**4 - 465*v**3 - 700*v**2 - 340*v = 0 for v. -17, -2, -1, 0 What is y in -3*y**5/2 - 15*y**4/2
{ "pile_set_name": "DM Mathematics" }
0 for k. 768585 Solve -2*r**2 - 274*r + 42780 = 0. -230, 93 Determine o so that -3*o**5 - 1164*o**4 + 10692*o**3 - 10842*o**2 - 48705*o + 50022 = 0. -397, -2, 1, 3, 7 Factor -2*b**2 - 9396*b - 177802. -2*(b + 19)*(b + 4679) Factor 4*a**2 - 18820*a + 206536. 4*(a - 4694)*(a - 11) Factor 12*i**3 + 54903*i**2 + 13725*i. 3*i*(i + 4575)*(4*i + 1) Find j such that -j**5/2 + 269*j**4/2 - 1319*j**3/2 - 269*j**2/2 + 660*j = 0. -1, 0, 1, 5, 264 Determine w, given that 4*w**4 - 61488*w**3 - 61496*w**2 + 61488*w + 61492 = 0. -1, 1, 15373 Factor g**3 - 1296*g**2 + 9035*g - 15468. (g - 1289)*(g - 4)*(g - 3) Find w such that 14*w**3/19 + 287158*w**2/19 + 369184*w/19 + 82040/19 = 0. -20510, -1, -2/7 Solve 5*k**2 + 465*k + 10030 = 0 for k. -59, -34 Factor -s**2/2 - 2073*s/2 - 14413. -(s + 14)*(s + 2059)/2 Determine i, given that -2*i**2/5 - 1604*i/5 - 1594 = 0. -797, -5 Determine t so that -5*t**4 - 965*t**3 - 46585*t**2 - 86515*t + 134070 = 0. -109, -82, -3, 1 Factor -y**2/5 - 284*y/5 - 843/5. -(y + 3)*(y + 281)/5 Suppose -32*j**2 - 28464*j - 21330 = 0. Calculate j. -3555/4, -3/4 Determine n so that n**2 + 62*n - 195 = 0. -65, 3 Factor -5*t**2 + 324020*t - 324015. -5*(t - 64803)*(t - 1) Solve 13*r**3/3 - 1675*r**2/3 + 10844*r/3 + 1708/3 = 0 for r. -2/13, 7, 122 Determine f so that 3*f**4/7 - 270*f**3/7 - 336*f**2 = 0. -8, 0, 98 Determine v so that 3*v**4/2 - 379*v**3/2 + 501*v**2/2 - 125*v/2 = 0. 0, 1/3, 1, 125 Let 998370409*z**4/4 + 998307215*z**3 + 998117637*z**2 - 252760*z + 16 = 0. Calculate z. -2, 4/31597 Solve d**2/6 + 48761*d/6 - 8127 = 0 for d. -48762, 1 Factor 2*f**3 - 5568*f**2 - 11142*f - 5572. 2*(f - 2786)*(f + 1)**2 Let 1146717*u**4 - 995247*u**3 - 144846*u**2 - 6528*u - 96 = 0. What is u? -2/39, -4/99, 1 Suppose c**2/4 + c = 0. What is c? -4, 0 Let -4*i**3/7 + 3764*i**2/7 - 860508*i/7 - 11831508/7 = 0. What is i? -13, 477 Factor 2*i**3/3 - 14008*i**2/3 + 24681370*i/3 - 536231564/3. 2*(i - 3491)**2*(i - 22)/3 Factor -o**2/7 + 872*o/7 - 175935/7. -(o - 555)*(o - 317)/7 Factor -4*z**3 - 4376*z**2 - 822292*z. -4*z*(z + 241)*(z + 853) Solve -m**5 + 233*m**4/2 - 6695*m**3/2 - 2171*m**2 + 13406*m + 6820 = 0 for m. -2, -1/2, 2, 55, 62 Let 19*g**2/2 - 159389*g/2 - 8389 = 0. Calculate g. -2/19, 8389 Factor v**4/5 + 112*v**3/5 + 429*v**2/5 - 342*v/5 - 1944/5. (v - 2)*(v + 3)**2*(v + 108)/5 Determine y, given that 5*y**2 - 739290*y + 27327485205 = 0. 73929 Let 11836*s**2/3 - 27612*s - 112/3 = 0. Calculate s. -4/2959, 7 Factor 6*w**3 - 331*w**2 - 2172*w - 1835. (w + 1)*(w + 5)*(6*w - 367) Solve -w**2/3 + 9344*w/3 - 21827584/3 = 0. 4672 Solve 3*o**2/7 - 50457*o/7 + 50454/7 = 0 for o. 1, 16818 Factor -k**2/8 + 37823*k/8 + 56739/4. -(k - 37826)*(k + 3)/8 Factor -158*f**3/15 - 604*f**2/5 - 312*f + 1008/5. -2*(f + 6)**2*(79*f - 42)/15 Factor 2*s**2/11 - 2394*s/11 + 2392/11. 2*(s - 1196)*(s - 1)/11 Let -n**5/6 - 2*n**4/3 + 89*n**3/6 - 14*n**2 = 0. Calculate n. -12, 0, 1, 7 Suppose 3*c**2 - 70938*c + 419349987 = 0. Calculate c. 11823 Find o such that -128621115*o**3 - 36883080*o**2 - 38375*o - 10 = 0. -2/7, -1/1917 Determine n so that 4*n**4 - 144*n**3 + 812*n**2 = 0. 0, 7, 29 What is q in -7815*q**2 + 109416*q - 84 = 0? 2/2605, 14 Suppose a**2/5 + 45306*a/5 + 513158409/5 = 0. What is a? -22653 Solve 2*v**2/3 - 2*v/3 - 9048 = 0 for v. -116, 117 Solve 332*s**3 + 836*s**2 - 3800*s + 1600 = 0 for s. -5, 40/83, 2 Solve -2*n**2/7 + 1773488*n/7 - 393157460768/7 = 0. 443372 Determine a so that -3*a**5/2 - 42483*a**4 - 601686699*a**3/2 - 601219446*a**2 + 2105138880*a - 1203033600 = 0. -14160, -4, 1 Solve 198*b**2 + 5*b = 0. -5/198, 0 Factor -2*b**3/5 - 839*b**2/5 + 1457*b + 3852/5. -(b - 9)*(b + 428)*(2*b + 1)/5 Suppose 45*h**5 - 4233*h**4 - 31899*h**3 + 39069*h**2 + 1866*h - 4848 = 0. Calculate h. -8, -1/3, 2/5, 1, 101 Factor -2*w**2/7 - 14032*w/7 - 24612128/7. -2*(w + 3508)**2/7 Find u, given that 5*u**2/3 - 19745*u/3 - 32950 = 0. -5, 3954 Factor 2*x**2/13 - 20688*x/13 + 41368/13. 2*(x - 10342)*(x - 2)/13 Find v, given that -15*v**4 + 17943*v**3 + 250929*v**2 - 555627*v + 286770 = 0. -79/5, 1, 1210 Factor 3*z**3 - 303*z**2 + 8520*z - 73200. 3*(z - 61)*(z - 20)**2 Find s such that 5*s**2 + 75*s - 6020 = 0. -43, 28 Factor 4*r**4/9 - 22940*r**3 + 206452*r**2/3 - 619348*r/9 + 68816/3. 4*(r - 51612)*(r - 1)**3/9 Solve -u**3/8 - 4*u**2 + 17*u/2 = 0. -34, 0, 2 Let 6*g**5 - 5224*g**4 - 1742*g**3 = 0. What is g? -1/3, 0, 871 Find q such that 281*q**2/6 - 15642*q - 334/3 = 0. -2/281, 334 Find z, given that -2*z**2 - 1876584*z - 440195938632 = 0. -469146 Factor 12*f**2 - 54759*f + 68430. 3*(f - 4562)*(4*f - 5) Suppose -z**5 + 142*z**4 - 169*z**3 - 15652*z**2 + 12544*z + 439040 = 0. Calculate z. -7, 8, 140 Factor 4*d**2 + 5888*d + 29340. 4*(d + 5)*(d + 1467) Factor -5*g**2 + 91770*g - 421086645. -5*(g - 9177)**2 Let -b**4 + 67*b**3 + 43*b**2 - 2839*b - 2814 = 0. What is b? -6, -1, 7, 67 Factor -r**5/7 + 66*r**4/7 - 129*r**3/7 + 64*r**2/7. -r**2*(r - 64)*(r - 1)**2/7 Factor 3*n**2/7 + 2040*n/7 - 335787/7. 3*(n - 137)*(n + 817)/7 Let l**2 + 6168*l + 6167 = 0. What is l? -6167, -1 Factor -2*s**2/17 - 26016*s/17 + 104096/17. -2*(s - 4)*(s + 13012)/17 Factor u**3/10 - 6241*u**2/5 + 74838*u/5 - 44892. (u - 12470)*(u - 6)**2/10 Determine s so that s**2 - 33830*s + 286117225 = 0. 16915 Solve -2*d**4 - 298*d**3 - 876*d**2 = 0 for d. -146, -3, 0 Let 4*k**4 - 11216*k**3 + 78248*k**2 + 190160*k + 100692 = 0. What is k? -1, 9, 2797 Determine n, given that -n**3 + 913*n**2 - 9039*n + 8127 = 0. 1, 9, 903 Factor -l**3/8 - 253*l**2/4 - 57505*l/8 + 210675. -(l - 24)*(l + 265)**2/8 Factor -5*f**5 - 110*f**4 - 720*f**3 - 1550*f**2 - 1355*f - 420. -5*(f + 1)**3*(f + 7)*(f + 12) Factor -3*m**2 - 1782*m + 5373. -3*(m - 3)*(m + 597) Suppose g**3 + 65*g**2 + 1200*g + 4500 = 0. What is g? -30, -5 What is c in 4*c**4 - 124*c**3 + 1220*c**2 - 4004*c + 4056 = 0? 2, 3, 13 Factor -2*i**2 + 18640*i - 130382. -2*(i - 9313)*(i - 7) Determine g, given that -g**2 - 34658*g = 0. -34658, 0 Suppose 3*u**4/7 + 927*u**3/7 - 9*u**2/7 - 2775*u/7 + 1854/7 = 0. What is u? -309, -2, 1 Find i such that -4*i**3 - 164432*i**2 + 4*i + 164432 = 0. -41108, -1, 1 Let -3*t**2 - 306267*t = 0. What is t? -102089, 0 Solve 3*b**2 - 69378*b - 69381 = 0 for b. -1, 23127 Factor -45*y**3 - 38145*y**2 + 50920*y - 16980. -5*(y + 849)*(3*y - 2)**2 Let y**2/3 + 805*y/3 - 13648 = 0. Calculate y. -853, 48 Find x, given that 2*x**4/13 + 16768*x**3/13 - 50316*x**2/13 + 50320*x/13 - 16774/13 = 0. -8387, 1 Determine x, given that -x**3/5 - 114*x**2/5 + 2661*x/5 - 2546/5 = 0. -134, 1, 19 Suppose 3*c**2/4 - 1064637*c + 377817313923 = 0. What is c? 709758 Find n such that -2*n**4 - 4*n**3 + 30*n**2 = 0. -5, 0, 3 Determine v so that -2*v**5/15 + 152*v**4/15 + 592*v**3/3 + 18292*v**2/15 + 15174*v/5 + 2604 = 0. -7, -5, -3, -2, 93 Find k such that 5*k**4/6 - 2945*k**3/3 - 41435*k**2/6 - 23740*k/3 + 15800 = 0. -4, 1, 1185 What is h in -h**2/6 - 277991*h/3 - 77278996081/6 = 0? -277991 Let -2*s**4 - 414*s**3 - 7020*s**2 - 41256*s - 81648 = 0. What is s? -189, -6 Factor -y**2 - 2234*y + 317312. -(y - 134)*(y + 2368) Factor -2*a**2/9 - 190*a/9 + 856/3. -2*(a - 12)*(a + 107)/9 Suppose 4*k**2 + 251400*k - 251404 = 0. Calculate k. -62851, 1 Determine i so that 3*i**5 + 7420*i**4 - 27232*i**3 + 37146*i**2 - 22291*i + 4954 = 0. -2477, 2/3, 1 Factor -2*y**2 + 5708*y - 107730. -2*(y - 2835)*(y - 19) Suppose -18*s**5 + 12927486*s**4 - 8618318*s**3 + 1436386*s**2 = 0. What is s? 0, 1/3, 718193 What is j in -5*j**4 + 118090*j**3 - 354240*j**2 + 354230*j - 118075 = 0? 1, 23615 Factor 3*u**2/2 - 1281*u/2 - 30315. 3*(u - 470)*(u + 43)/2 Let 2*y**2 + 3462*y + 187600 = 0. Calculate y. -1675, -56 Factor 2*g**4/3 - 394*g**3/3 + 7130*g**2 - 63426*g. 2*g*(g - 93)**2*(g - 11)/3 Determine s, given that 3*s**2/2 + 12156*s + 24628056 = 0. -4052 Determine i so that 3*i**5 - 9405*i**4 + 8315322*i**3 - 1428982470*i**2 - 8315325*i + 1428991875 = 0. -1, 1, 225, 1455 Determine n, given that 3*n**2/5 - 134928*n - 674643/5 = 0. -1, 224881 Factor -2*r**2/13 + 33232*r/13 - 5112. -2*(r - 16614)*(r - 2)/13 Determine n so that n**2/5 + 5427*n/5 + 70382/5 = 0. -5414, -13 Find m, given that -3*m**3 - 38733*m**2 - 77457*m - 38727 = 0. -12909, -1 Let 2*j**4/13 + 62*j**3/13 - 7066*j**2/13 - 244494*j
{ "pile_set_name": "DM Mathematics" }
*2 - 7*h. Let r be c(-7). Suppose k + 2 - 5 = r. Let j = k + 7. Is j a composite number? True Let y = 654 - 175. Is y a prime number? True Suppose 4*l + 33 - 13 = 0. Let n = l - -5. Suppose 0 = -n*t + 2*t - 4. Is t a prime number? True Suppose 0*c = -3*c + 3*q + 14265, -4*c + 19020 = 3*q. Suppose 0 = f, -4*h + h - 4*f + c = 0. Is h a composite number? True Let c = 205 - -39. Let q = c - 155. Is q a prime number? True Suppose 0 = -4*y - 0*y + 1140. Suppose -b = 5*o + b - y, -b + 57 = o. Suppose 3*n - 4*c - o = -0*n, 5*c = 0. Is n a prime number? True Let r(k) = 8*k + 2. Let f(y) = -15*y - 3. Let j(g) = -3*f(g) - 5*r(g). Is j(3) a prime number? False Let u be (3 - -1) + (-4)/4. Suppose -2*a - a - 351 = -u*t, 4*a + 8 = 0. Is t prime? False Suppose n = 3*m - 10, 6*n - 2*n - 35 = -3*m. Suppose -2*b - 174 = -t, -5*b - 423 = -n*t + 462. Suppose -5*c + 8*h - 3*h = -t, -140 = -5*c - 3*h. Is c composite? False Suppose -3*i + 959 = u, 0 = 3*i - i + 8. Suppose -5*y + 104 = -u. Is y composite? True Let o be (-1 + 4)*26/6. Let f = -74 + 139. Suppose 2*b = f + o. Is b prime? False Let m = 193 - -6. Is m a prime number? True Is 34 + 5 + -2*1 prime? True Let q(w) be the first derivative of 18*w**3 + w**2 + 3*w + 1. Let a(j) = j + 4. Let n be a(-6). Is q(n) prime? False Suppose -5*m - 6*w = -3*w - 7279, w + 4373 = 3*m. Is m a composite number? True Let h be 1/2 - (-81)/2. Let g be -6*(-2)/(6/(-19)). Let i = h - g. Is i a composite number? False Suppose -20 = -3*o + 10. Let l(s) = -9*s + o + 0*s**2 - 2*s**2 + 3*s**2. Is l(9) composite? True Let v = -7 - 33. Let o be ((-219)/(-9))/(1/3). Let w = o + v. Is w composite? True Suppose -r + 38 = -3*i, r = -3 + 5. Let k = i + 31. Is (k - -2*1)/1 composite? True Let l(u) be the second derivative of 2/3*u**3 + u + 0 + 1/20*u**5 - 1/2*u**4 + 7/2*u**2. Is l(6) a prime number? True Let w be (-8)/2*(-27)/(-6). Is (-4)/w + (-2343)/(-27) a prime number? False Suppose -3*i + 2*i + 2 = 0. Let a be i*(-71 - 2)*-1. Suppose -4*r - a = -5*s, 5*r + 30 = 10. Is s prime? False Suppose -3*r + 511 = 2*g, 3*g - 5*r = g + 487. Is g composite? False Suppose 4*h - 508 = -0*h. Is h a prime number? True Suppose -2*j + y + 0*y = -111, -4*y = 5*j - 310. Suppose 3*z + j = 223. Is z composite? True Let m = 125 - 79. Suppose -2*f = 5*o - 60 - m, -120 = -2*f + 2*o. Is f a prime number? False Suppose 11*s - 7*s = 1052. Is s a prime number? True Let r(f) be the second derivative of f**6/120 + f**5/40 - f**4/6 + f. Let d(v) be the third derivative of r(v). Is d(5) a prime number? False Let v(n) = -4*n**3 + n**2 - 2*n + 1. Let f be v(-2). Suppose 0 = 2*q - 2*i - 0*i - 8, -2*q + 4 = 2*i. Suppose q*o = 1 + f. Is o a prime number? False Suppose 2*p - 371 = -27. Suppose 4*h - 236 = z + 1, 3*h + 5*z = p. Is h composite? False Let h(u) = -27*u - 1. Let g(a) = a**3 + 3*a**2 - a - 1. Let n be g(-3). Let x = n - 4. Is h(x) a composite number? False Let r = 5 + -7. Let a = 4 - r. Is 86/a + 2/3 prime? False Suppose 0*f - 2 = -2*f. Let y(u) be the second derivative of 67*u**3/6 + 2*u. Is y(f) prime? True Let f(s) = 97*s + 14. Is f(9) prime? True Let i(a) be the first derivative of a**2 + 3*a + 1. Is i(8) composite? False Is (-6)/33 + 158/22 a prime number? True Suppose 4*s = -2*i + 4*i - 42, 4*s - 3*i = -39. Let k(j) = -j**2 - 12*j + 12. Let c be k(-11). Let o = s + c. Is o a prime number? True Let k(m) = m + 4. Let s be k(4). Let f be 2440/s*(-8)/(-5). Let h = -339 + f. Is h prime? True Let n(k) = 7*k + 12. Let b(j) = 15*j + 25. Let y(l) = -6*b(l) + 13*n(l). Let r be y(-4). Suppose r*s = 118 - 8. Is s a prime number? False Suppose 0 = -9*b + 713 - 74. Is b prime? True Let h(t) = t**3 + 2*t**2 - 3*t. Let o be (2 - 1) + -3 + -1. Let k be h(o). Is (k - -2) + 45/1 a prime number? True Suppose 0 = 4*w, -3*w = -3*h - 8*w + 2130. Suppose 0*o = 5*o - h. Is o prime? False Suppose -1 + 7 = 3*p. Let m(c) = c + p*c + 3 - 4 + 2*c**2. Is m(-6) prime? True Let d(r) = 1046*r + 3. Is d(1) a prime number? True Let n(h) = h**2 - 4*h - 1. Let c be n(6). Suppose 0 = -4*l + 1 + c. Suppose -j + 4*u = l*j - 652, -6 = 3*u. Is j a composite number? True Suppose 1557 = 3*k + 7*u - 3*u, -5*k + u + 2572 = 0. Is k a prime number? False Let k = -5 - -7. Suppose 4*f + h - 135 = 0, 2*f - 63 = k*h - h. Is f composite? True Suppose 4*c - 189 = 335. Is c a prime number? True Let q(b) = 8*b**3 - 2*b**2 - 8*b + 11. Is q(6) composite? False Let w(c) = -28*c**2 + 4*c + 3. Let o be w(-2). Is 7/(7/2) - o composite? True Suppose -2046 = -4*f - 5*h, -593 = -f + 2*h - 88. Is f prime? True Suppose 110 = -f - f - 3*q, -2*f + 4*q - 124 = 0. Let m = f + 89. Is m prime? True Suppose -3625 + 499 = -6*j. Is j a prime number? True Let m(u) = -u**3 - 7*u**2 + u + 9. Let o(y) = -y**2 - 4*y + 5. Let x be o(-6). Let z be m(x). Suppose z*b + 3*b + 4*a = 275, 5*b - 275 = a. Is b composite? True Suppose -961 = -2*b - 3*w, -4*b + 4*w = -w - 1955. Is b a prime number? False Suppose -b + 0*b + 4 = 0. Let g be -2 + b - 188/2. Is (g/(-6))/(8/12) composite? False Let j = -20 - -13. Let i(b) = -b**2 - 7*b - 10. Let o(s) = 1. Let q(c) = -i(c) - o(c). Is q(j) prime? False Let q = 8 + -4. Is 73/q - 3/(-4) a composite number? False Let o(q) = q**2 + 3*q + 7. Is o(12) prime? False Let y(f) = -12*f - 11. Let x(c) = -c - 2. Let o be x(-5). Suppose 4*d = o*d - 9. Is y(d) composite? False Is (-162719)/(-145) - (-8)/10 a composite number? False Let w = 175 - 62. Is w a composite number? False Let b(p) = 319*p**2 - p. Let o be b(1). Suppose -o = -4*q + 158. Is q a composite number? True Let b(r) = 26*r**3 + 2*r + 1. Let d be b(-1). Let c be 18/d*174/(-4). Is c/(-3 + 30/9) prime? False Let n(s) = -s**2 - 5*s. Let y be n(-5). Suppose y = -3*q + 5*j - 3*j, -5*j + 17 = q. Suppose 0 = 2*o - w - q*w - 40, 0 = o - 2*w - 19. Is o composite? False Let n(s) be the third derivative of 1/6*s**3 + 1/30*s**5 - 2*s**2 + 0*s + 0*s**4 + 0. Is n(-1) composite? False Let b be (0 + 7)*66/7. Suppose 2*u + b = 5*u. Is u prime? False Let q(s) = -56*s. Let z be q(1). Suppose 5*a - v + 0*v = 180, -5*a - 4*v + 155 = 0. Let d = a - z. Is d composite? True Let m(a) = 2*a**3 + 5*a**2 + 4*a - 15. Is m(8) a composite number? False Let r(p) be the second derivative of p**7/1260 + p**6/80 + p**5/120 + p**4/4 + 2*p. Let b(l) be the third derivative of r(l). Is b(-8) a composite number? True Suppose -5*l + b + 3*b + 813 = 0, l + 3*b = 155. Is l a prime number? False Let d(g) = g**2 - 2*g + 23. Let a(j) = -3*j**2 + 5*j - 46. Let r(c) = 2*a(c) + 5*d(c). Let i be r(0). Let m = 24 + i. Is m prime? True Suppose 2 = y - 0*y. Let h be -2 + (y - 4) - -2. Is (77 + 0)*(-1 - h) a prime number? False Suppose 0*l - 130 = 2*l. Let w = l - -91. Is w composite? True Suppose -5*w = -0*w + 185. Let c = w - -232. Suppose 0 = -2*v - 3*v + c. Is v prime? False Is 1996/6*(-3)/(-2) composite? False Let u be (6/12)/(1/2). Is 2 + (-2)/u + 22 a prime number? False Let r(j) = 10*j**2 + 2*j - 4. Let m be r(-3). Suppose -5*u - 25 = 5*c - m, -2*c + u = -10. Is c prime? True Let k(h) = -119*h - 2. Let r(x) = -179*x - 3. Let y(d) = -8*k(d) + 5*r(d). Is y(2) a prime number? False Let a = 856 - 519. Is a a composite number? False Let h(a) = -4*a**3 - 10*a**2 - 4*a - 262. Let n(g) = -g**3 - 3*g**2 - g - 87. Let m(l) = 2*h(l) - 7*n(l). Let i be m(0). Is 4/8 - i/(-2) a prime number? True Let x = -49 - -100. Is x a prime number? False Suppose 0 = -8*v - 0*v + 1048. Is v prime? True Let x(v) = 3*v**2 + 8*v. Let o(f) = f**2 + 3*f. Let n(t) = -11*o(t) + 4*x(t). Let z be n(2). Suppose 175 = 3*i + z*i. Is i composite? True Let f = 3 + 0. Suppose 2*w - f*w + r + 11 = 0, -52 = -4*w - 4*r. Let a = 23 - w. Is a a prime number? True Let w be 0/(-6) - -2*1. Suppose 6*u - 52 = w*u + 4*l, 5*l - 39 = -3*u. Is u a composite number? False Suppose 3*b - 635 = -2*b. Is b prime? True Let g(n) = 5*n**3 + n**2 + 3*n + 3. Suppose -4*f - 28 = -0*f. Let c(m) = 10*m**3 + 2*m**2 + 6*m + 5. Let y(r) = f*g(r) + 4*c(r). Is y(2) prime? False Suppose -2*x + l + 661 = -0*l, 3*x + 5*l - 998 = 0. Is x a composite number? False Let q = -19 + 25. Suppose 4*v + 818 = q*v. Is v composite? False Suppose s = -s + 326. Is s prime? True Let i = 34 - -44. Suppose -3*g + i = -267. Is g a composite number? True Let s be 0/3*(-3 + 2). Suppose s*o = 3*o
{ "pile_set_name": "DM Mathematics" }
ded by 25. 23 Calculate the remainder when 68/(-238) - 744/(-7) is divided by 11. 7 Suppose 12891 = 4*g - 5*x, 3*x = -20*g + 23*g - 9669. What is the remainder when g is divided by 129? 128 Let u(n) = 2*n**2 - 2*n - 1. Suppose -6*x + 17 = -133. Let w = 38 - x. What is the remainder when u(-3) is divided by w? 10 Let f = -10 + 13. Let b(s) = -7 + s**f + 5 + 19*s - 16*s**2 - 5 - 7. Calculate the remainder when b(15) is divided by 12. 10 Let i(z) = -38*z**3 - z**2 - z - 1. Let y be i(-1). Suppose -30*p - 427 = -y*p. What is the remainder when p is divided by 21? 19 Suppose 0 = -4*f - 0*f - 5*q + 37, f + 3*q = 18. Calculate the remainder when 83 is divided by f. 2 Let w be (-2 - -3) + (-4 - -21). Let f be 77/(-15) + w/135. What is the remainder when 11 is divided by (12/f)/(2/(-5))? 5 Let k(g) = -15*g + 35. What is the remainder when k(-2) is divided by 15? 5 Suppose 5*i = i + 156. Calculate the remainder when i is divided by (39/(-26))/((-1)/14). 18 Suppose -12*f - 13*f = -3125. What is the remainder when f is divided by 23? 10 Let c be 7/(21/(-258)) + -3. Let p = -53 - c. What is the remainder when (p/(-15))/((-3)/30) is divided by 9? 6 Let w(r) = r**2 - 6*r + 8. Let i be w(6). Suppose -2*q + 18 = -i. What is the remainder when q is divided by 13/26*7*(-2 - -4)? 6 Let v = -17 - -22. Suppose 6*s - v - 7 = 0. What is the remainder when 14 is divided by s? 0 Suppose -4*d + 404 = -4*p, -5*d + 2*p = 316 - 833. Calculate the remainder when d is divided by 22. 17 Suppose -22*f + 462 = -11*f. What is the remainder when f is divided by 15? 12 Suppose 4*o + 26 = 114. Suppose 4*r = -196 + 1156. Suppose 0 = 2*d - 8, -4*b = -3*d + 84 - r. What is the remainder when b is divided by o? 20 Suppose 5*o = -4*k + 86, -5*o - 4*k = -3*o - 44. Calculate the remainder when 54 is divided by o. 12 Suppose -202 = -7*f + 6*f. Let a = f + -137. Calculate the remainder when a is divided by 33. 32 Let w = -49 + 78. Let v = 261 - 244. What is the remainder when w is divided by v? 12 Let w be -1 + (-4)/(-4) - (0 - 4). Suppose 3*k = 4*z - 0*k - 56, 0 = 4*z - w*k - 56. Let o(n) = n**2 + 8. Calculate the remainder when z is divided by o(0). 6 Let y be -70 - (3/2)/((-6)/(-16)). Let z = -46 - y. What is the remainder when z is divided by 6? 4 Calculate the remainder when 29 is divided by 3 - (-3 + (-6)/(-6)). 4 Let i(w) = 7*w + 44. Let c(n) = -n. Let r(q) = -2*c(q) - i(q). What is the remainder when 60 is divided by r(-13)? 18 Calculate the remainder when 268 is divided by 272/(-1768)*(-78)/2. 4 Suppose -4*s = -0*s - 20. Suppose -3*q + 32 = -s*w, -2*q + 12 + 9 = -3*w. Let u = 20 - q. Calculate the remainder when u is divided by 5. 1 Suppose -3*a + 1080 = 5*q, -5*q - 2*a = -7*a - 1080. Calculate the remainder when q is divided by 57. 45 What is the remainder when 65 is divided by (-4)/10 - (-4350)/250? 14 Let x be 1/7 + 5364/(-63). Let b = 113 + x. What is the remainder when b is divided by 5? 3 Let n = -3 - -8. Suppose -n*x = -q - 39, -x + 0*q + 7 = -q. Let y = x - 2. What is the remainder when 15 is divided by y? 3 Let r(f) = 13*f**2. What is the remainder when 142 is divided by r(1)? 12 Suppose 2*w = 2*u + 100, -5*u - 146 = -3*w - 4*u. Let x = 1 - -12. Calculate the remainder when w is divided by x. 9 Let d(y) = 12*y**2 + 66*y + 131. Let h(r) = 7*r**2 + 2*r. What is the remainder when d(-2) is divided by h(-2)? 23 Suppose -5*p + 5 = -4*s, 2*s + 3 = -0*s + 3*p. Suppose s = -3*i - 4*u + 83, -2*u + 149 = 5*i + 2*u. Calculate the remainder when i is divided by 18. 15 Suppose -3*c + 44 = 5*k, 92 = 6*c - c - k. Calculate the remainder when c is divided by 5. 3 Let m(i) = i**3 + 8*i**2 - i - 4. Let a be m(-8). Let g = -162 + 229. Calculate the remainder when g is divided by ((-17)/(-2))/(2/a). 16 Suppose -2*y - 50 = -7*y. Let r(k) be the second derivative of k**5/20 - k**4/6 - 5*k**3/6 - 9*k**2/2 - 24*k. What is the remainder when y is divided by r(4)? 1 Let s(v) = v**3 + 17*v**2 - v - 2. Let i be 260/(-15) + (4/(-3))/(-4). Calculate the remainder when 37 is divided by s(i). 7 Let y(p) = -p**2 + 3*p. Let n be y(2). Suppose 0 = n*h - 1 - 7. Suppose -9 = -3*m, -4*v + 9 + 6 = m. Calculate the remainder when h is divided by v. 1 Let r(u) = 3*u. Let w = -13 + 15. Let c be r(w). Suppose 3*i + c = 5*i. Calculate the remainder when 14 is divided by i. 2 Suppose -165 = 3*v - 5*l, -4*v - 5*l = 72 + 183. Let h = 104 + v. What is the remainder when h is divided by 9? 8 Let d = 49 - 28. Let m = -65 - -148. What is the remainder when m is divided by d? 20 Suppose 5*m - 34 = -4*b - 6, 3*b + 14 = 5*m. Let w(x) = 9 - x + x**2 + 0*x + b. Calculate the remainder when w(-5) is divided by 22. 19 Suppose m = -5*o + 20, -o + 4*m = 3*m - 10. Let r(j) = -8*j - 6. Let s be (6/5)/(6/(-15)). What is the remainder when r(s) is divided by o? 3 Let t = 279 - 192. Let q = 3 + t. Calculate the remainder when q is divided by 23. 21 Let z(i) = -i**3 - 23*i**2 + 22*i - 23. Calculate the remainder when 424 is divided by z(-24). 24 Let p = 6 + -21. Let o = -6 - p. What is the remainder when 17 is divided by o? 8 What is the remainder when (-6107)/(-7) + 13/((-182)/(-8)) is divided by 38? 37 Suppose -2*l = f - 104 - 33, 5*l - 2*f = 338. Suppose -5*s + 3*w + w + l = 0, 0 = -2*s + w + 26. What is the remainder when 30 is divided by s? 6 Suppose -35*f + 32*f + 84 = 0. What is the remainder when (-987)/(-9) - 2/(-6) is divided by f? 26 Suppose 3*c - 5 = -4*t + 16, -t + c = 0. Suppose m + 2*m + t = 0, -2*s - m + 25 = 0. What is the remainder when s is divided by 5? 3 Let x(j) = 14*j + 12*j**2 + 8 - j + 0*j**3 + j**3. Let l be x(-11). Let a(z) = z + 35. What is the remainder when a(l) is divided by 12? 9 Suppose 5*q = 3*h + 128 - 379, -2*q + 4 = 0. Let c(i) = i**2 - 4*i - 10. Calculate the remainder when h is divided by c(-4). 21 Let m(h) = -5*h - 41. Suppose -u = 2*q + 6, -5*q + 26 - 2 = -4*u. Calculate the remainder when 3/u*(-88)/4 is divided by m(-9). 3 What is the remainder when 115 is divided by (-3895)/38*(-4)/5? 33 Suppose 128*v - 113*v - 1530 = 0. What is the remainder when 390 is divided by v? 84 Let j(d) = d**3 - 18*d**2 - 18*d - 1. Let k = 122 + -103. Suppose 3*a + 20 = 5*a. Calculate the remainder when j(k) is divided by a. 8 Let d(v) = -3*v**2 - 3*v - 21. Let r(b) = b**2 + b + 5. Let o(p) = 2*d(p) + 9*r(p). What is the remainder when o(3) is divided by 24? 15 Suppose 0 = -2*z + 4*s + 324, 0 = 4*s - 4 + 12. Calculate the remainder when z is divided by 18. 14 Suppose 17*n + 22 = 19*n. Suppose -5*u + 4 + n = 0. Suppose -102 = -4*f - 2*g, -3*f - u*g + 127 = 2*f. What is the remainder when f is divided by 15? 11 Let c = -9 - -32. Let x = c - -12. Let l = -430 + 443. Calculate the remainder when x is divided by l. 9 Let b = -788 - -806. Calculate the remainder when (-17)/(2 - (-10)/(-4)) is divided by b. 16 Let y(j) = j**3 + 3*j**2 - 1. Let w be y(-2). Let u be (1/w)/(2/18). Calculate the remainder when 25 is divided by (-2)/u*(-25 + 4). 11 Let z(b) = 17*b - 469. What is the remainder when 79 is divided by z(30)? 38 Suppose -5*o + 286 = -f, -51 = -2*o + 5*f + 45. Let m be 3/(-9) + (-61)/(-3). Suppose -m = 5*r - 6*r. Calculate the remainder when o is divided by r. 18 Let d(h) = 9*h - 9. Let n be d(3). Suppose -3*l = -c - 2*c - n, 4*c = -l + 31. Calculate the remainder when 62 is divided by l. 7 Let y = 601 - 363. Suppose 11*o = -95 + y. Calculate the remainder when 36 is divided by o. 10 Let r(m) = 8*m**2 - 5*m + 9. What is the remainder when r(2) is divided by 13? 5 Suppose 0*c + 20 = 2*c. Suppose -43*j + 39*j - 2*t = -182, 4*t + 200 = 4*j. Calculate the remainder when j is divided by c. 7 Suppose 0 = -37*j + 506 + 160. Calculate the remainder when 2157 is divided by j. 15 Suppose 3*l - 125 = -2*l. Suppose 0 = 2*w - l - 67. Let u(b) = b**2 - 2*b + 1. Calculate the remainder when w is divided by u(5). 14 Let x(j) = 2*j + 24. Let o be x(-11). Let c(k) = -k - k**2 + 7*k**2 - 2*k**o - 3*k**2. What is the remainder when 56 is divided by c(-4)? 16 Let y = -252 - -279. What is the remainder when 53 is divided by y? 26 Let z = 214 + 1428. Calculate the remainder when z is divided by 47. 44 Let j = 101 + 129. Calculate the remainder when j is divided by 26. 22 Let o(y) = -y**3 + 9*y**2 - 6*y - 4. Let g(t) = -t + 5. Let j be g(
{ "pile_set_name": "DM Mathematics" }
4 Let s be ((-96)/(-21) - 5)/((-1)/7). Let u = -30 + 33. Solve u*y + 0*f = 5*f + 25, -5*y + 19 = s*f for y. 5 Let k(f) = -f**2 - 6*f + 4. Let p be k(-6). Let a(d) = 4*d + 50. Let h = 171 - 183. Let u be a(h). Solve -2 = u*r - 2*q, p*r + 8*q = 3*q - 40 for r. -5 Let o(b) = -b**3 + 11*b**2 + 11*b + 12. Let t be o(12). Let r be ((-45)/60)/(1 + (-10)/8). Let s = r + t. Solve -4*l = -s*v + 27, 2*l + 17 = 4*v + 3*l for v. 5 Suppose -12*i - 66 = 474*m - 472*m, m + 3*i + 15 = 0. Let x = -1 + 16. Solve -5*u = x, 8*p = m*p - 3*u - 4 for p. 1 Let z be (6/(-4))/(12/(-16)). Let n(q) = -q**3 + 11*q**2 - 16*q + 15. Let p be n(6). Suppose u - 12*u + p = 0. Solve 5*g - 11 = -z*s + u, -g + 7 = s for g. 2 Let k(o) be the second derivative of -o**3/6 + 8*o**2 - 92*o. Let i be k(13). Solve -i - 6 = -3*x, 2*v = -x + 3 for v. 0 Let b(q) = q**2 + 11*q - 16. Let c be b(6). Suppose 5*j = c + 214. Let v be (-43)/(-5) - (-24)/j. Solve -4*n + 3 = n + t, 3*n = 3*t + v for n. 1 Suppose 5*s - 5*q = 20, 11*q + 8 = 5*s + 9*q. Solve b + 5*v + 4 - 32 = 0, -3*b + 4*v - 11 = s for b. 3 Suppose 0 = 2*h - 74 + 96. Let z = 15 + h. Solve 5*m + 9 = 3*g - 11, 3*g = z*m + 19 for m. -1 Suppose 0 = 111*a + 32*a - 238 - 48. Solve 4*h = -a*j + 16, 0 = -2*h + 7*h + 5*j - 30 for h. 2 Let z(k) = -48*k - 142. Let i be z(-3). Solve -c - i*l + 11 = 17, 3*c + l + 13 = 0 for c. -4 Let r be 6/(-27)*(-90)/150*30. Solve -2*f + 4 = -z - 9, -r*z = 5*f - 13 for f. 5 Let o = -39 + 43. Let y(g) = o*g**3 - 2*g - 3 - g**3 + 3 + g**2. Let t be y(1). Solve -a - 25 = t*a + 5*d, 0 = 4*a + 2*d + 10 for a. 0 Suppose 28*s - 21*s = 882. Let x be 4/(-14) + (-9)/(s/(-74)). Solve -3*m + x*z = 19, 2*z - 1 = 3*m + 6*z for m. -3 Let g be ((-1365)/10)/(-13) - (-2 - (-5)/2). Solve 3*l - z + 9 = -3*z, -5*l + 5*z = -g for l. -1 Suppose 15*t = t + 1904. Suppose t = -b + 138. Solve -b*c - 24 = -3*r - 1, -3*c - 2*r = 2 for c. -4 Suppose -53 - 10 = -21*j. Solve 22 - 7 = -j*d, 0 = 2*x - 4*d - 16 for x. -2 Let j(d) = d**2 + 9*d - 135. Let g be j(-18). Suppose r - 6*r - 125 = 0. Let k = g + r. Solve 3*p - k*x = -6*x + 12, 3*p = 5*x - 15 for p. 0 Let g = 540 - 532. Suppose -8 = -2*p, g*j = 5*j + 5*p - 20. Solve j = 3*b + 2*c - 21, -5*b + 0*b - 5*c = -40 for b. 5 Suppose -13*d + 664 = -194. Suppose -3 = 9*q - d. Solve s + 5*f = -q, -23 = -5*s + 3*f + f for s. 3 Let y(w) = 3 + 0 + 8*w - 2*w - 6. Let u be y(1). Solve -6*h + 2*t = -u*h - 1, -4*t - 29 = 3*h for h. -3 Let l = -234 + 242. Suppose 2*n - 4*t - 8 = 0, 3*n - 37 = -2*t + 7. Suppose -64 = -n*d + l. Solve -q = -2*s - 11, -2*q + d*q = -4*s - 16 for s. -5 Suppose -2*g + 3*z = 2, 2*g + 0*g - 4*z + 4 = 0. Solve 0 = -2*l - 5*v - 0*v - 17, -g*l + 33 = -5*v for l. 4 Suppose 20*x + 74*x + 0 - 282 = 0. Solve -47 + 32 = -3*c, 7 = -x*a - c for a. -4 Let r(t) = t**2 - 58*t + 648. Let s be r(15). Solve -4*f - 73 = -s*a - 51, -2*f + 2 = 5*a for f. -4 Let y be (-4)/6 + (-801)/(-27). Let u(o) = -o + 9. Let x = 93 + -86. Let p be u(x). Solve k + 1 = -2*l, -4*k + y = -l - p*l for l. -3 Let x be (-260)/325*45/(-12). Solve -x*o = 5*l + 14, -4*o - 2*l = 2*l + 16 for o. -3 Suppose 6*f = -133*d + 138*d + 2, 0 = 5*d + 4*f - 18. Solve d*c = -5*l - 5, -4*l + 29*c - 24*c + 29 = 0 for l. 1 Let o = 21329 - 21320. Solve o = 4*y + 3*w + 2, 5*y - 2*w = 26 for y. 4 Let b be ((-10)/5)/((-2)/2). Suppose -b*o = n - 11, 2*o + 2*n = 7 + 9. Solve -o*j = j - 4*k + 16, -4*j - 10 = -2*k for j. -1 Let w be 0 + -3 + (-5 + 1 - -7). Let y(h) = 4*h + 60. Let q be y(w). Let v = 64 - q. Solve -z + 6*z + 3*x + 9 = 0, 2*z = -v*x + 2 for z. -3 Let n(y) = 6*y**2 - 1. Suppose 0 = -14*l + 6*l + 16. Suppose -2 = -4*d - l*m - 4, -3*d + 2*m = 5. Let f be n(d). Solve 16 = 4*r + 5*v, 16 = 4*r - f*v - 0 for r. 4 Let j(c) = -c**3 + 48*c**2 - 40*c + 17. Let i be j(47). Let f = 351 - i. Solve -2*x - 17 - f = 4*b, 2*b = -4*x - 14 for b. -5 Let o = -17372 + 17383. Solve 0 = -5*b + 2*i - 22, i + o = 18*b - 21*b for b. -4 Suppose 4*c + 21 = -5*o + 68, 3*c - 49 = -5*o. Let h be (-33)/(-12) - o/(-44). Let t be 1 - (-3 + 0/3). Solve 0 = -t*z - s, -z = -6*z - h*s for z. 0 Suppose y + 0*y - 2 = 0, -5*b + y = -1698. Suppose b = 12*j - 7*j. Suppose j = 15*p + 23. Solve -4*h = p*t + 24, 0 = -5*t - 3*h - 19 - 10 for t. -4 Suppose 5*o - 71 = 2*q, -q - 6 = -8. Suppose o = -3*k + 3*n, 4*k - 5*n - 7 = -32. Solve 16 = 4*w, -3*w + k*w + 13 = g for g. 1 Let l be (-7)/(49/(-14)) - 2. Let m be 3/1 - (-15)/5. Suppose p - 3*p = -m. Solve -b + 6 = p*q - l*b, -5*q + 5*b = -10 for q. 2 Let y = 295 - 212. Suppose -78*j = -y*j. Solve 3*p = -j*p + 4*m - 8, 2 = p + m for p. 0 Suppose 2 = s - 3*t + 9, 4*s = 2*t + 22. Suppose 0 = s*o - 7*o + 10*o. Solve -4*i = 5*w + 20, -3*i - 2*w + o*w = 15 for i. -5 Let o be -15 + 1*(3 + -7). Let p be (o/(-4))/(1/(-8)). Let w = p + 41. Solve -3*f + 17 = -v, -v - w*f = v - 11 for v. -2 Suppose 0 = -2*k - 0*k - 5*l + 17, -28 = -3*k - 5*l. Let w(g) = 3*g**2 + 6*g + 4. Let d be w(-2). Solve d*f - m - k = -0*f, 4*m = -f + 7 for f. 3 Suppose -3*l + 0*j = -3*j - 9, 0 = l - 2*j - 7. Let c be (-6)/(-6) - (-1)/l. Suppose -m + c = -4. Solve -6*q + 4*q + m = -3*w, -16 = 4*q for w. -4 Let z(a) = -2*a**3 - 2*a**2 - 2*a - 12. Let w be z(-2). Solve -20*t + 23*t + 4*x - 15 = w, -x + 6 = 3*t for t. 1 Let z be (21/(-14))/(57/(-152)). Solve -3*v + z*v + 3*l + 2 = 0, -2*v + 2*l + 4 = 0 for v. 1 Let n(i) = i**3 - 38*i**2 - 75*i - 198. Let w be n(40). Solve -9 = -w*m - b, 29 = b + 28 for m. 4 Suppose 5*s = 3*o - 20, -3*o + 4*s + 22 - 3 = 0. Solve q - o*q - 6 = w, 2 = -q for w. 2 Suppose 10 = -2*m + 4. Let y be (-1 + m/(-2))*(-52 + 60). Solve 5*g = -y*s + 9 - 0, 3*g + 2 = 5*s for g. 1 Let j(h) = h**3 + 3*h**2 - h + 2. Let i be j(0). Suppose 0*b = 4*o + i*b - 12, -2 = b. Solve o*n + 5*y + 1 = 2, 2*n = -y + 5 for n. 4 Suppose -74*w = -538 - 202. Solve 2*y = -w, -2*r - 3*r - 3*y = 0 for r. 3 Let l be (-16)/6*(-1)/(22/33). Solve -l*c - 9 = -4*m - 1, -3*c - 20 = 4*m for m. -2 Let p = -167 + 167. Let z(o) = 2*o**3 + 4*o**2 - 5*o + 6. Let l be z(-3). Solve -2*q + l*q - 3 = -f, -q - 4*f - 3 = p for q. 5 Let u be 33 - (112/49)/(8/28). Solve 3*f = -2*i - 5, 9*i - u = 4*i for f. -5 Let r be -1 + 1 + -1 + 1. Let y(q) = -q**3 + 15*q**2 - 53*q - 19. Let j be y(8). Solve -3*t - 2*t + 20 = 3*l, r = 2*t + j*l - 27 for t. 1 Let f = 69 + -47. Let d(r) = r + 5. Let p be d(5). Suppose -f*c + p = -17*c. Solve 0 = 3*x - 5*j + c*j - 24, -5*x + 8 = 3*j for x. 4 Let n be (15 - 18 - (-5 + 0))*130/20. Solve 14 = -5*w - 3*y, 5*y = -w - n - 3 for w. -1 Suppose 5*u + 18*u = 34*u - 11. Let x(a) = a**2 + 5*a - 9. Let l be x(-7). Suppose -3*f - 6 = 0, l*i = -8*f + 3*f. Solve -3*m = i*n + 16, -4*m + u = 9 for n. -5 Suppose -18939*f - 158 = -18941*f. Suppose -346 = 5*l + w, 0*w - 5*w + 340 = -5*l. Let q = f + l. Solve 0*v + 4*t = -v - q, v = 4*t + 6 for v. -2 Let o(k) = 3*k**2 + 37. Let a be o(7). Suppose 0 = 4*z - 200 + a. Solve -3 = 2*b + v - 4, -z*v + 16 = -4*b for b. -1 Suppose -93*t = 179*t. Solve 2*h - 3 + 5 = 4*n, h - 5*n - 5 = t for h. -5 Let k(o) = -4*o + 26. Let h be k(6). Let c be ((-18)/h)/((-5)/10 + -1). Suppose c*a = 5*a + 4. Solve 3*g + a - 1 = 3*t, 0 = -2*t - 3*g + 7 for t. 2 Let d(j) = j**2 + 189*j + 6956. Let k be d(-50). Suppose 27 = 5*r - 8. Solve -5 = -3*y - 4*c - k, -y - r = -2*c for y. -3 Let s(v) = 4*v**2 - 9*v - 9. Let m be s(-5). Suppose m - 166 = -5*r. Solve 2*d + w - 3 = 0, d = r*d + 3*w - 8 for d. 1 Let f(v) = v**2 - 27*v + 37. Let p be f(26). Suppose -w - 9 + p = 0. Let b be 5 + -1 + (2 - (w + 4)). Solve -4*r - 24 = -5*g + 3*g, b = 5*r - 2*g + 28 for r. -4 Suppose -193 - 222 = -15*b + 125. Solve 5*m + 8 = 4*n - 33, -4*n + 4*m + b = 0 for n. 4 Let h be (-5 - -1) + 173/1. Suppose -2*a - 199 = -h. Let y(w) = w**3 + 14*w**2 - 16*w - 8. Let t be y(a). Solve 3*m - 2*k - t = -4*k, -5*k = 20 for m. 5 Let t(p) = 1576*p + 36 - 1585*p + 4. Let c be t(4). Solve -3*f + 2*v = -0*v - 4, 3*v = -c*f - 6 for f. 0 Let k be (-1)/(-4) - 624/(-64). Let q be k*(-3 - -3 - 2). Let c be (2 + q/5)/(-1). Solve -2*j + 6 + 0 = -5*d, d + c*j = 6 for d. 0 Suppose -54*m + 12 = -53*m. Suppose 2*v - 6 = -4*u, u + 0*u - m = -4*v. Solve 2*c + 2*i + u*i + 16 = 0, -3*c = -4*i - 11 for c. -3 Suppose -17*l + 31*l = 70. Let z be (-42)/(-42)*1*l. Solve -3*h = -3*f + 6*f - 15, -4*h + 23 = z*f for f. 3 Let d =
{ "pile_set_name": "DM Mathematics" }
lculate z(32). -247 Let x(v) = 1387*v**2 + 40*v - 40. Give x(1). 1387 Let c(i) = -2430*i + 17064. Calculate c(7). 54 Let c(l) = l**3 + 55*l**2 + 108*l - 1587. Calculate c(-7). 9 Let z(g) = 6412169*g - 25648673. Determine z(4). 3 Let l(q) = 4*q**2 - 201*q + 1489. What is l(9)? 4 Let h(y) = y**3 + 188*y**2 - 1596*y - 5269. What is h(-196)? 219 Let r(v) = 85452*v - 683614. What is r(8)? 2 Let y(w) = -61*w**2 - 3566*w - 3568. Calculate y(-1). -63 Let h(p) = 55*p**3 + 3*p**2 + 25*p - 66. Give h(2). 436 Let f(l) = -41*l**2 - 485*l - 2025. Calculate f(-4). -741 Let t(j) = 2*j**3 + 47*j**2 + 31*j - 343. Calculate t(-23). -527 Let w(l) = -5*l**3 - 36*l**2 - 642*l - 4516. Calculate w(-7). -71 Let r(v) = v**3 - 55*v**2 - 639*v + 60. Calculate r(-10). -50 Let d(n) = -1774*n + 77383. Give d(44). -673 Let l(d) = d**3 + 98*d**2 + 363*d - 310. Calculate l(-94). 912 Let u(y) = 8*y**2 + 1727*y + 82916. What is u(-72)? 44 Let d(o) = -o**3 + 25*o**2 - 150*o + 159. Determine d(14). 215 Let f(x) = -2*x**3 - 78*x**2 + 59*x + 2233. Give f(-39). -68 Let g(l) = 2*l**3 + 969*l**2 + 23842*l + 7. Give g(-26). 7 Let y(g) = 2*g**2 + 12876*g + 5948873. Calculate y(-501). -1 Let d(z) = -z**3 - 16*z**2 + 23*z + 363. Give d(-16). -5 Let t(h) = -123*h**2 - 96*h + 30. What is t(-1)? 3 Let t(v) = 325*v**3 + 26*v**2 + 64*v + 34. Determine t(-2). -2590 Let k(w) = 7*w**2 - 348*w + 2153. What is k(25)? -2172 Let i(v) = v**3 + 69*v**2 + 590*v + 9660. Determine i(-62). -12 Let j(w) = -4*w**3 - 35*w**2 - 20*w - 45. Determine j(-9). 216 Let k(x) = x**3 - 46*x**2 + 54*x - 2317. What is k(46)? 167 Let w(j) = 4733170*j + 18932674. Determine w(-4). -6 Let v(l) = 7886*l + 13768961. What is v(-1746)? 5 Let p(v) = 4*v**3 + 398*v**2 - 199*v + 229. Calculate p(-100). 129 Let n(z) = z**3 - 10*z**2 + 34*z - 133. Calculate n(9). 92 Let m(o) = -o**3 - 56*o**2 + 69*o - 143. Determine m(-57). -827 Let x(g) = 10022*g + 280616. Determine x(-28). 0 Let c(s) = 156*s - 1776. Determine c(14). 408 Let a(n) = -332*n - 18201. Give a(-55). 59 Let j(v) = 68*v**2 - 274*v - 56. Calculate j(4). -64 Let w(f) = -3*f**3 - 18*f**2 + 129*f + 57. Calculate w(-13). 1929 Let n(h) = 2*h**2 + 369*h - 51411. Give n(-277). -166 Let f(a) = 3*a**3 + 10*a**2 + 55*a + 157. Give f(-4). -95 Let g(r) = -3*r**2 - 413*r + 9825. Determine g(23). -1261 Let v(p) = p**2 + 342*p + 18785. What is v(-69)? -52 Let f(p) = -p**2 - 55088*p + 55087. Determine f(1). -2 Let v(h) = -279*h - 299923. Determine v(-1075). 2 Let b(q) = 8*q**2 - 90*q - 4. Determine b(15). 446 Let p(j) = 1126*j - 6636. Determine p(6). 120 Let v(g) = -g**3 - 12*g**2 - 348*g - 1973. What is v(-6)? -101 Let k(u) = u**3 - 1083*u**2 + 3408*u - 3690856. Determine k(1083). 8 Let c(t) = -7907*t - 474399. What is c(-60)? 21 Let k(y) = -13*y**2 - 2812*y - 14548. Determine k(-211). 11 Let q(n) = -2*n**2 + 256*n - 278. Give q(1). -24 Let g(w) = 2*w**2 - 226646*w - 2039912. Give g(-9). 64 Let a(p) = p**3 + 12*p**2 - 1116*p + 5061. Give a(5). -94 Let d(t) = -5*t**2 - 202*t + 3849. Calculate d(16). -663 Let w(h) = 4816*h - 4733. What is w(1)? 83 Let q(l) = 31*l**3 - 6023*l**2 + 1745*l + 205. What is q(194)? 11 Let a(c) = -c**2 - 5699*c - 220796. Determine a(-39). -56 Let b(d) = -2*d**3 - 20*d**2 - 24*d + 103. What is b(-6)? -41 Let z(m) = 66767*m + 4406616. Calculate z(-66). -6 Let a(c) = 4*c**3 - 1870*c**2 - 962*c + 12147. Determine a(468). -21 Let k(g) = g**3 + 14*g**2 + 1567*g + 20221. Determine k(-13). 19 Let p(s) = -220*s + 7939. Calculate p(36). 19 Let t(v) = 24*v**2 + 3590*v + 32209. Calculate t(-140). 9 Let d(o) = 1799*o + 304144. Calculate d(-169). 113 Let y(a) = -a**3 - 133*a**2 + 822*a + 5. What is y(6)? -67 Let f(b) = 819*b - 70479. What is f(86)? -45 Let h(d) = 5*d**2 + 76156*d + 989206. What is h(-13)? 23 Let l(f) = 1835*f**2 + 9170*f - 22. What is l(-5)? 3 Let z(v) = -12*v**2 + 1585*v - 3169. Determine z(2). -47 Let n(h) = 230630*h + 461260. Give n(-2). 0 Let p(i) = i**3 - i**2 + 8*i - 2061. What is p(0)? -2061 Let t(s) = -32*s - 1845. What is t(-59)? 43 Let n(q) = -q**3 + 31*q**2 - 89*q + 1786. Calculate n(31). -973 Let n(b) = -96943*b + 193880. Calculate n(2). -6 Let t(s) = -s**3 - 40*s**2 + 160*s + 142. What is t(-43)? -1191 Let b(s) = 126*s + 2725. Determine b(-28). -803 Let u(z) = -103039*z + 721279. Give u(7). 6 Let n(l) = 75*l - 6758. Give n(89). -83 Let m(k) = -k**3 - 12*k**2 + 41*k + 591. Determine m(-12). 99 Let l(j) = 1342*j - 7404. What is l(6)? 648 Let o(i) = 8258*i - 239605. What is o(29)? -123 Let w(s) = s**3 - 25*s**2 + 569*s - 3030. What is w(7)? 71 Let o(a) = 25*a**2 - 16578*a - 33175. Calculate o(-2). 81 Let s(w) = -1512*w + 471751. Calculate s(312). 7 Let w(q) = -4*q**3 + 6*q**2 + 6*q + 39. Give w(-4). 367 Let h(d) = -1281*d - 44876. What is h(-35)? -41 Let y(l) = -l**2 - 110*l + 1017. Determine y(-103). 1738 Let h(v) = -3*v**2 - 159*v - 3070. Calculate h(-20). -1090 Let y(r) = 316*r - 24708. What is y(78)? -60 Let p(u) = 6819*u + 41010. Calculate p(-6). 96 Let x(b) = -3*b**2 + 72*b - 489. What is x(20)? -249 Let y(w) = -w**2 - 37283*w + 410233. Give y(11). -1 Let i(y) = y**3 + 75*y**2 + 920*y + 699. Determine i(-59). 2115 Let q(u) = 3*u**2 + 466*u + 5297. Determine q(-143). 6 Let f(w) = -218*w**3 - 6*w**2 - 275*w - 272. What is f(-1)? 215 Let u(q) = q**3 - 436*q**2 - 2689*q - 77. Determine u(-6). 145 Let v(z) = 4612*z - 14832. Give v(3). -996 Let i(u) = -16*u**3 + 1790*u**2 - 883*u - 907. Give i(1). -16 Let b(o) = 1646*o - 85844. Calculate b(52). -252 Let b(w) = 6552*w + 79388. Determine b(-12). 764 Let r(k) = 79080*k + 5061085. Determine r(-64). -35 Let i(n) = -106446*n + 532236. What is i(5)? 6 Let z(p) = 4728*p + 42582. Calculate z(-9). 30 Let l(f) = -14*f**2 + 1429*f + 141. What is l(102)? 243 Let m(h) = h**3 - 8*h**2 + 37*h - 512. Calculate m(12). 508 Let p(o) = o**3 - 14*o**2 - 33*o + 368. What is p(4)? 76 Let r(p) = 151*p**3 - 133*p**2 - 41*p + 33. Determine r(1). 10 Let i(q) = -4*q**2 - 244*q - 3543. Give i(-20). -263 Let c(j) = -28716*j + 2326169. Calculate c(81). 173 Let j(f) = f**3 + 7*f**2 + 59*f - 591. What is j(7)? 508 Let y(z) = -62005*z + 744190. Determine y(12). 130 Let t(z) = 2*z**2 + 1297*z + 53306. Give t(-44). 110 Let r(h) = 45120*h - 13129920. Determine r(291). 0 Let h(f) = 3*f**2 + 523*f + 15185. Determine h(-135). -745 Let z(w) = -2*w**3 + 25*w**2 - 20*w - 19. Calculate z(5). 256 Let h(z) = 22574*z - 22576. What is h(1)? -2 Let w(b) = -2*b**2 + 1489*b - 104589. Calculate w(666). -27 Let h(p) = 8*p**3 + 111*p**2 - 2385*p - 33166. Calculate h(-14). 28 Let n(k) = k**3 + 90*k**2 + 1499*k + 1085. Calculate n(-21). 35 Let t(d) = d**3 - 19*d**2 - 222*d - 802. What is t(28)? 38 Let x(q) = -11*q**2 + 5488*q + 10986. Determine x(-2). -34 Let r(x) = -x**2 - 1294*x - 34178. What is r(-27)? 31 Let m(b) = 4433*b - 78. Calculate m(0). -78 Let g(n) = 160*n**2 + 17*n + 18. Determine g(-1). 161 Let z(k) = -9*k**2 + 3128*k + 28892. Give z(-9). 11 Let y(w) = w**3 + 209*w**2 + 3864*w + 48252. What is y(-190)? -8 Let u(g) = 69*g - 6148. What is u(83)? -421 Let a(n) = 313195*n + 2192446. What is a(-7)? 81 Let s(p) = 5*p**3 - 108*p**2 - 176*p + 2851. Give s(22). -53 Let r(z) = -2*z**2 - 391*z - 985. Determine r(-205). -4880 Let f(k) = -2*k**2 - 36*k + 2012. Calculate f(-42). -4 Let t(j) = -54351*j - 16196592. Give t(-298). 6 Let f(i) = -1116*i + 5508. Determine f(5). -72 Let m(l) = l**2 + 628*l - 11224. Calculate m(17). -259 Let h(r) = 8894*r + 506966. Determine h(-57). 8 Let x(h) = 3871*h - 139333. Determine x(36). 23 Let k(x) = 4170*x - 1075860. Determine k(258). 0 Let q(r) = r**3 + 234*r**2 - 280*r - 4187. Calculate q(-235). 6388 Let h(r) = -3*r**2 + 543*r + 13529. What is h(203)? 131 Let k(f) = f**3 + 86*f**2 - 64*f + 2535. Determine k(-87). 534 Let h(y) = 3*y**3 - 629*y**2 + 1040*y - 16. What is h(208)? -16 Let g(v) = -19*v + 2350. Determine g(89). 659 Let u(y) = 4017*y + 7865. What is u(-2)? -169 Let w(n) = 28*n**2 - 228*n + 693. What is w(3)? 261 Let k(q) = 4*q**3 - 54*q**2 + 73*q - 729. What is k(13)? -118 Let i(c) = 2*c**2 + 795*c + 19875. Give i(-371). 212 Let r(t) = -2*t**3 + 285*t**2 + 1615*t + 1735. Calculate r(148). -189 Let b(t) = 32199*t + 32892. What is b(-1)? 693 Let x(i) = 29*i**2 + 526*i - 5907. Give x(-26). 21 Let v(u) = 14837*u
{ "pile_set_name": "DM Mathematics" }
f 216799862? 2, 108399931 What are the prime factors of 1311480793? 7, 17, 11020847 What are the prime factors of 9124088? 2, 163, 6997 What are the prime factors of 6486930409? 137, 47349857 List the prime factors of 8986002. 2, 3, 1497667 List the prime factors of 3773320968. 2, 3, 379, 414833 What are the prime factors of 55312272? 2, 3, 384113 List the prime factors of 196665332. 2, 199, 247067 What are the prime factors of 25457996? 2, 113, 151, 373 List the prime factors of 4438195. 5, 23, 38593 What are the prime factors of 431032242? 2, 3, 71838707 What are the prime factors of 177606862? 2, 88803431 What are the prime factors of 4190037947? 19, 220528313 What are the prime factors of 61421073? 3, 7, 37, 137, 577 List the prime factors of 619359160. 2, 5, 7, 2211997 List the prime factors of 16784571. 3, 103, 54319 What are the prime factors of 12194721? 3, 7, 11, 17597 What are the prime factors of 2395443421? 7, 97, 3527899 List the prime factors of 218209962. 2, 3, 257, 141511 List the prime factors of 1028174976. 2, 3, 892513 List the prime factors of 152610661. 7, 73, 298651 What are the prime factors of 52545383? 11, 4776853 List the prime factors of 211847624. 2, 26480953 List the prime factors of 612894393. 3, 103, 557, 1187 What are the prime factors of 55064549? 55064549 What are the prime factors of 20280167? 17, 1192951 List the prime factors of 5217850952. 2, 2437, 267637 What are the prime factors of 1629333069? 3, 7, 13, 5968253 What are the prime factors of 1530597513? 3, 43, 67, 177091 What are the prime factors of 145777190? 2, 5, 13, 31, 61, 593 What are the prime factors of 58156574? 2, 7, 4154041 List the prime factors of 200204161. 47, 53, 179, 449 List the prime factors of 663256736. 2, 20726773 What are the prime factors of 148704958? 2, 83, 895813 List the prime factors of 55564115. 5, 11112823 What are the prime factors of 807105? 3, 5, 13, 4139 List the prime factors of 42103657. 42103657 List the prime factors of 828891449. 20983, 39503 What are the prime factors of 590796126? 2, 3, 127, 277, 311 What are the prime factors of 1471617147? 3, 7, 11, 13, 73, 137 What are the prime factors of 705297333? 3, 13, 1391119 What are the prime factors of 263675282? 2, 13, 10141357 What are the prime factors of 52665860? 2, 5, 13, 23, 8807 What are the prime factors of 574548891? 3, 7, 27359471 What are the prime factors of 921930995? 5, 17, 601, 18047 List the prime factors of 493592846. 2, 61, 4045843 List the prime factors of 28944840. 2, 3, 5, 241207 What are the prime factors of 1229175223? 23, 499, 107099 What are the prime factors of 276284894? 2, 47, 101, 29101 What are the prime factors of 254047791? 3, 229, 369793 List the prime factors of 6730449. 3, 11, 203953 List the prime factors of 153901268. 2, 3389, 11353 What are the prime factors of 3223635886? 2, 23, 2459, 28499 List the prime factors of 1258592289. 3, 419530763 List the prime factors of 51874981. 47, 1103723 What are the prime factors of 174686051? 829, 210719 What are the prime factors of 54260943? 3, 11, 29, 31, 59 What are the prime factors of 69142200? 2, 3, 5, 115237 What are the prime factors of 1040647963? 1040647963 List the prime factors of 15758780. 2, 5, 787939 What are the prime factors of 278020066? 2, 61, 227, 10039 What are the prime factors of 32572283? 1607, 20269 What are the prime factors of 1059440619? 3, 61, 2341, 2473 What are the prime factors of 59845491? 3, 17, 599, 653 List the prime factors of 2676692926. 2, 16631, 80473 What are the prime factors of 121243048? 2, 17, 891493 What are the prime factors of 26342049? 3, 41, 214163 What are the prime factors of 1169382762? 2, 3, 64965709 What are the prime factors of 115861089? 3, 38620363 What are the prime factors of 638487899? 7, 211, 432287 What are the prime factors of 92418816? 2, 3, 7, 17191 List the prime factors of 2924690792. 2, 12959, 28211 List the prime factors of 1225677664. 2, 38302427 List the prime factors of 781371215. 5, 29, 5388767 List the prime factors of 1027627150. 2, 5, 11, 83, 22511 What are the prime factors of 4490986436? 2, 1122746609 List the prime factors of 2341929469. 11, 17, 463, 2459 List the prime factors of 46434513. 3, 15478171 List the prime factors of 86917544. 2, 7, 607, 2557 What are the prime factors of 274406329? 274406329 List the prime factors of 609505583. 1571, 387973 What are the prime factors of 71280934? 2, 1931, 18457 What are the prime factors of 2429204911? 7, 479, 724487 List the prime factors of 68841947. 233, 295459 List the prime factors of 83333125. 5, 151, 883 What are the prime factors of 587779612? 2, 7, 20992129 What are the prime factors of 95887185? 3, 5, 31, 206209 What are the prime factors of 1281848763? 3, 13, 83, 461, 859 List the prime factors of 6861638. 2, 7, 490117 What are the prime factors of 1439036478? 2, 3, 11, 19, 382519 What are the prime factors of 4762837283? 17, 41, 197, 34687 What are the prime factors of 106722067? 1021, 104527 What are the prime factors of 337041837? 3, 11, 1134821 List the prime factors of 6104652833. 6104652833 List the prime factors of 1176930921. 3, 499, 863, 911 List the prime factors of 47320892. 2, 11830223 List the prime factors of 75920550. 2, 3, 5, 29, 31, 563 List the prime factors of 1391163319. 7, 13, 15287509 List the prime factors of 210575566. 2, 17, 6193399 What are the prime factors of 95266808? 2, 7, 13, 107, 1223 What are the prime factors of 28134225? 3, 5, 7, 17863 List the prime factors of 1276900868. 2, 319225217 What are the prime factors of 19570096? 2, 7, 13, 13441 What are the prime factors of 1343758? 2, 13, 51683 List the prime factors of 565996273. 631, 896983 What are the prime factors of 2198406751? 113, 19454927 What are the prime factors of 707784610? 2, 5, 13, 5444497 What are the prime factors of 26377058? 2, 47, 280607 What are the prime factors of 341039992? 2, 17, 2507647 What are the prime factors of 398593868? 2, 79, 1261373 What are the prime factors of 13794506? 2, 11, 79, 7937 List the prime factors of 22939835. 5, 4587967 What are the prime factors of 62335146? 2, 3, 10389191 What are the prime factors of 1904910814? 2, 109, 8738123 What are the prime factors of 87603543? 3, 223, 43649 What are the prime factors of 2353941626? 2, 1176970813 What are the prime factors of 2115114568? 2, 7, 17, 307, 7237 List the prime factors of 7775655552. 2, 3, 7, 139, 991 List the prime factors of 3934687361. 11, 357698851 What are the prime factors of 8188748670? 2, 3, 5, 272958289 What are the prime factors of 1000987180? 2, 5, 50049359 List the prime factors of 453798145. 5, 6529, 13901 What are the prime factors of 4201310109? 3, 157, 8919979 What are the prime factors of 366303140? 2, 5, 7, 53, 49367 What are the prime factors of 550838056? 2, 6661, 10337 List the prime factors of 1183242. 2, 3, 197207 What are the prime factors of 901098274? 2, 127, 3547631 What are the prime factors of 1774821? 3, 251, 2357 What are the prime factors of 735718219? 735718219 What are the prime factors of 100537804? 2, 829, 30319 What are the prime factors of 4770306418? 2, 3167, 753127 What are the prime factors of 1681649488? 2, 105103093 What are the prime factors of 835186216? 2, 359, 290803 What are the prime factors of 2231147641? 5897, 378353 What are the prime factors of 179761030? 2, 5, 17976103 What are the prime factors of 791141196? 2, 3, 65928433 List the prime factors of 251907453. 3, 7, 19, 389, 541 What are the prime factors of 98850458? 2, 7, 23, 37, 8297 List the prime factors of 35829905. 5, 7165981 What are the prime factors of 64800035? 5, 751, 17257 What are the prime factors of 550124882? 2, 275062441 What are the prime factors of 491478295? 5, 7, 11, 47, 157, 173 List the prime factors of 1241348379. 3, 3361, 123113 List the prime factors of 135966997. 641, 212117 What are the prime factors of 5012377932? 2, 3, 417698161 List the prime factors of 3279049. 47, 69767 What are the prime factors of 3209525032? 2, 7, 57312947 List the prime factors of 4544313762. 2, 3, 757385627 What are the prime factors of 690163774? 2, 53, 773, 8423 What are the prime factors of 332422619? 332422619 List the prime factors of 4734957707. 47, 10074
{ "pile_set_name": "DM Mathematics" }
g(6). Let p = -62 + 98. Calculate the highest common factor of f and p. 18 Let d = 27 - 10. What is the greatest common divisor of d and 187? 17 Suppose 5*x + 0*u = -2*u + 20, 4*x = 4*u + 44. What is the greatest common factor of 2 and x? 2 Let u = -6 - -10. Suppose 6*y = u*y + 144. What is the greatest common factor of y and 24? 24 Suppose 2*p + 0*p - 294 = 0. Let q = -7 - -20. Suppose 0 = -2*f - f - 3*w + 51, q = f + 2*w. Calculate the greatest common divisor of p and f. 21 Suppose 4*d + 4*g - 37 = 15, -6 = 3*g. Suppose 3*x - 2*x - 10 = -3*b, 2*b + 3*x - 9 = 0. Calculate the highest common divisor of b and d. 3 Let i(b) = 11*b**3 - b**2 + b. Let p be i(1). Let r be 12/66 + 20/11. Let g be -3 - (-36 - (r + -2)). What is the highest common factor of g and p? 11 Suppose 5*n + 2*o - 62 = -2*o, 5*n - 47 = o. Let m = 21 - n. Calculate the highest common divisor of m and 66. 11 Let v be (6/(-4))/(12/16). Let g be (0/v)/(1 - 0). Suppose 0 = -4*d - g*d + 28. Calculate the greatest common factor of 56 and d. 7 Suppose 2*d - 77 + 20 = -3*s, 2*d = 3*s - 69. Suppose -3*k = -0 - s. Calculate the greatest common factor of k and 63. 7 Let c be 132/8*(-4)/(-6). What is the highest common factor of c and 44? 11 Let g be (-13*1 - 0) + 0. Let w(k) = 4*k + 1. Let o be w(-1). Let q be g/(o/(2 - -1)). Calculate the greatest common factor of q and 13. 13 Suppose -4*w + 94 = c - 37, -5*c = -3*w + 127. Let v = 4 - 3. Let i be (-1*1)/(v/(-51)). What is the highest common factor of i and w? 17 Let x(w) = -w - 7. Let v be x(-7). Suppose -20 = -4*q + 4. Suppose q*a + 96 = 4*k + 2*a, -5*a = v. What is the highest common factor of 96 and k? 24 Let y(k) be the third derivative of -k**6/120 - k**5/15 + k**4/3 - 7*k**2. Let r be y(-7). Calculate the highest common divisor of 13 and r. 13 Suppose -5*c + 3*c - 2*u = 18, -u = 5*c + 37. Let i = -11 - c. Let k(o) = -25*o - 1. Let f be k(i). Calculate the greatest common divisor of f and 11. 11 Suppose 20 = 7*z - 3*z. What is the highest common factor of z and 45? 5 Let m(y) = -20*y + 4. Let u be m(-3). What is the greatest common divisor of u and 8? 8 Suppose 0*g = 3*g - 363. Let q = 19 - 8. Suppose 0 = 5*m - 4*m - q. What is the highest common factor of m and g? 11 Let h be ((417 + -2)/5 - 3) + 0. Calculate the greatest common divisor of h and 10. 10 Suppose -3*s + 353 = 53. Let t = 83 + 57. Let c = t + -100. What is the highest common factor of c and s? 20 Suppose -8 = -4*p + 4*j, 2*p - 5*j + 32 = 4*p. Let h be 25 - -3*(-2)/p. What is the highest common factor of h and 24? 24 Suppose 0 = -5*a + 5*u + 80, u = -4*a - 3*u + 80. What is the highest common factor of a and 18? 18 Suppose 0 = 5*q - 977 - 13. Calculate the highest common divisor of q and 18. 18 Suppose 0 = -4*o + 15 + 33. What is the greatest common factor of 12 and o? 12 Let q = -3 - -63. Suppose -q = 3*o - 8*o. Calculate the greatest common factor of 84 and o. 12 Let w(r) = 9*r - 3. Let l be w(4). Calculate the highest common factor of 55 and l. 11 Suppose -7*l = 4*o - 2*l - 356, -o = -5*l - 64. Let s = 9 + 0. Let c be 106/s - 4/(-18). Calculate the highest common factor of c and o. 12 Let b = -1 + 1. Suppose s + 5*f - 5 = 0, f = -s - b*f + 9. What is the greatest common divisor of 25 and s? 5 Let v = -6 - -26. Let q(r) = 2*r - 1. Let k be q(3). Calculate the highest common factor of k and v. 5 Let p = -3 + 12. Calculate the greatest common factor of p and 36. 9 Let k = -44 + 81. Suppose -k = -4*j + 11. Let i = j + -1. Calculate the greatest common divisor of 99 and i. 11 Let w be (10/(-15))/((-4)/6). Suppose 3 + 9 = 4*z. Let g be (-3)/(z/2) + 9. What is the greatest common divisor of w and g? 1 Suppose -c = -3*c + 50. Let i be (-3)/(-15) - (-24)/5. Calculate the highest common factor of c and i. 5 Let q = 47 + -69. Let v = q - -16. Let p = -2 - v. What is the highest common factor of p and 10? 2 Suppose -3*c + 12 = -2*w + 236, 0 = 4*w + 2*c - 448. Let k(y) = 5*y - 1. Let d be k(3). What is the greatest common factor of w and d? 14 Suppose 0*q + 5*q - 20 = -5*c, 0 = q + 3*c + 6. Calculate the highest common factor of q and 45. 9 Let y(o) = 34*o + 2. Let k be y(2). Calculate the highest common divisor of k and 35. 35 Let k(t) = -t**2 + 11*t - 4. Let o be k(3). Suppose 0*q - 2*q = -60. Calculate the greatest common divisor of o and q. 10 Suppose -4*c + 5*q = 32, 0*q - 2*q = -2*c - 14. Let m(f) = 6*f**2 + 4*f. Let r be m(c). What is the highest common divisor of r and 14? 14 Suppose h + 2*k = 118, -4*h + 2*k = 205 - 637. What is the greatest common factor of 22 and h? 22 Let p(t) = 54*t. Let m be p(2). Let n = -4 + 4. Let r = 12 - n. Calculate the greatest common divisor of r and m. 12 Suppose 14 + 43 = a. What is the highest common factor of 3 and a? 3 Let k(d) = -6*d + 6. Let j be k(3). Let y(x) = -2*x - 8. Let t be y(j). Suppose 0 = f + 3*f - 320. What is the highest common factor of t and f? 16 Let b = 503 - 352. Let l = b + -91. Let d(y) = y**2 + 3*y + 6. Let n be d(3). What is the highest common divisor of l and n? 12 Suppose -h - 3*h = -48. Let t = h + -7. Calculate the greatest common factor of 25 and t. 5 Let i be (49/4)/((-5)/(-20)). Let v(r) = 20*r**2 + 2*r - 1. Let b be v(1). Let w = b + -14. What is the highest common factor of i and w? 7 Let t(q) = -q**3 + 11*q**2 - 12*q + 2. Let b be t(9). Suppose 0*p = 4*z - p - 56, 0 = 4*z + 2*p - b. What is the greatest common factor of z and 35? 7 Let k(o) = -2*o**2 - o + 45. Let g be k(0). Calculate the greatest common factor of g and 90. 45 Let y = -8 + 13. Let q(p) = -p**2 + 6*p - 3. Let t be q(y). Suppose -2*a + 20 = -t. Calculate the highest common divisor of a and 88. 11 Suppose 4*b - 2*s - 94 = 0, 0*b + 5*s = b - 19. Calculate the highest common divisor of b and 168. 24 Suppose 276 = 3*u + 3*b, 2*u = -u + 4*b + 248. Suppose -5*q - 5 + 60 = 0. What is the highest common divisor of u and q? 11 Suppose -2*g - g + 13 = -2*j, -g + 3*j = -9. Calculate the greatest common factor of g and 3. 3 Let r be (-938)/(-3) + 2/(-3). Calculate the greatest common divisor of 39 and r. 39 Let z(r) = -r - 3. Let a be z(-5). Suppose -w + 2*w - 15 = a*o, 0 = -3*w + 3*o + 33. Let b = -23 - -44. Calculate the greatest common factor of w and b. 7 Let a = -18 - -50. Let d = 6 - 6. Suppose j + 4*u + 5 = 29, d = -4*j + 5*u + 12. Calculate the greatest common divisor of j and a. 8 Suppose -8*t + 16 = -12*t. Let m = 20 + t. Calculate the highest common factor of m and 16. 16 Suppose -2*j + 156 = 5*k, -5*k + j = -10*k + 158. What is the highest common divisor of k and 4? 4 Suppose 2*a + 2*l = 26, -5*a + 0*a - 4*l = -64. What is the greatest common divisor of 60 and a? 12 Let p be 2*4 + 6/3. Suppose -4*v = 2 - p. Let b be 107/6 + 4/24. What is the highest common factor of b and v? 2 Let h(r) = 9*r**3 + r**2. Let l be h(1). What is the greatest common factor of 5 and l? 5 Suppose 3 = a, 4*b - 3*a - a - 212 = 0. What is the greatest common divisor of 8 and b? 8 Suppose f - 4 + 0 = 0. Suppose -1 = -5*y + 4, -5*q + 399 = f*y. Let r = q - 51. What is the greatest common factor of r and 7? 7 Suppose 5*b - 3430 = g - 440, -2*b - 5*g + 1223 = 0. Suppose 3*i + 34 = -b. Let x = -146 - i. What is the highest common divisor of x and 13? 13 Suppose -q + b = 1 - 7, 3*q - 50 = -5*b. What is the highest common divisor of q and 10? 10 Let t = -112 + 123. What is the greatest common divisor of t and 55? 11 Suppose 5*m + 5*m = 690. What is the highest common factor of 23 and m? 23 Suppose 0*f = 2*f. Suppose f = -2*m + 6, 5*x = -3*m - 201 + 1010. Let o(v) = v**2 + 2*v + 5. Let g be o(-5). Calculate the greatest common factor of x and g. 20 Let a(f) = 7*f**2 - 12*f - 4. Let x(j) = -j**2 + j + 1. Let q(b) = a(b) + 6*x(b). Let y be q(7). Calculate the greatest common divisor of 36 and y. 9 Suppose -4*m + 21 = h, -4*h + m + 63 = h. Let g = 18 - h. Let p be 201/5 + 6/(-30). Calculate the greatest common divisor of p and g. 5 Suppose 6 = 5*j - w + 97, 5*w = 5. Let u be 6/(-27) + (-148)/j. What is the highest common divisor of u and 2? 2 Suppose 0 = 5*w, 0*w = -5*k + w + 5. Suppose 7*a - 3*a = 4. What is the greatest common factor of k and a? 1 Let x = 5 - -25. Suppose 0 = -5*q + 2*q - 4*n + x, 5*q - 79 = 3*n. Suppose 3*f - 431 + 53 = 0. What is the highest common f
{ "pile_set_name": "DM Mathematics" }
ve of -4*b**4*d**2 - 139003*b*d**3 - 2527540*d**3 - d wrt b? -16*b**3*d**2 - 139003*d**3 What is the first derivative of -586803*k*w + 1579570*k wrt w? -586803*k Find the first derivative of 9*n*p**3 - 12*n*p - 290*n - 33*p**3 + 10*p wrt n. 9*p**3 - 12*p - 290 Find the third derivative of 2*h**3*p**4 - 62005*h**3*p + 2*h*p**2 - 6114*p**4 - 5*p**3 + 2 wrt p. 48*h**3*p - 146736*p - 30 What is the third derivative of 4523277*w**4 - 4599972*w**2 wrt w? 108558648*w What is the third derivative of 29385*p**5 + p**2 + 578*p - 10 wrt p? 1763100*p**2 What is the third derivative of 589694*m**5 - m**4 + 725*m**2 - m + 152 wrt m? 35381640*m**2 - 24*m Find the second derivative of 1215*j**3 + 12*j**2 - 617081*j. 7290*j + 24 Find the second derivative of -2*g**3*o**2 - 1655629*g**3 - 42*g*o**2 - 3596*g*o + 3*o - 1 wrt g. -12*g*o**2 - 9933774*g Find the third derivative of 73552*m**3 + 10*m**2 + m - 3 wrt m. 441312 Differentiate 1626367*g*h - 10*g - 46797 wrt h. 1626367*g Find the first derivative of 48*o**2*v**3 - 2552397*o**2 + 42819*v**4 wrt v. 144*o**2*v**2 + 171276*v**3 Differentiate -6*k*r*w**3 + k*w + 10*k - 61*r*w**3 - 31*r - 40*w**3 - 13*w**2 with respect to r. -6*k*w**3 - 61*w**3 - 31 What is the third derivative of d**3*v**2 - 175866*d**3 + 2988913*d**2*v**2 wrt d? 6*v**2 - 1055196 What is the derivative of -69040*i**3 + 2*i**2*q - 213052*q wrt i? -207120*i**2 + 4*i*q What is the second derivative of -203588*q**2 + 165319*q wrt q? -407176 Differentiate -14*r*s**2 + 9*r*s + 3*r - s**2 + 64*s - 21803 with respect to s. -28*r*s + 9*r - 2*s + 64 Find the second derivative of b*o**3 - 3*b*o**2 + 1507*b - o**3 + 23*o**2 - 6*o wrt o. 6*b*o - 6*b - 6*o + 46 Differentiate 3*s**2 + 473619*s + 3838462 wrt s. 6*s + 473619 Find the second derivative of 57463*s**4 + 674*s - 42 wrt s. 689556*s**2 What is the first derivative of -67765*h + 28927? -67765 What is the first derivative of 131*g**4*u - 49*g**3*u - 87*u wrt g? 524*g**3*u - 147*g**2*u What is the second derivative of 15610*k**3 - 27*k - 1020? 93660*k What is the first derivative of d**2*o + 1998*d**2 - 1129*d*o**2 + d*o - 119*d - 283*o**2 wrt o? d**2 - 2258*d*o + d - 566*o Find the second derivative of -27*u**3*y**3 + 2*u**3 - 17*u**2*y - u*y**2 - 13*u*y + 36*y**3 wrt y. -162*u**3*y - 2*u + 216*y What is the third derivative of -53142*c**2*n**3 - 2*c**2*n**2 - 3945*c*n**2 + 2*n wrt n? -318852*c**2 What is the derivative of b**2 - 63160*b + 90879? 2*b - 63160 Find the second derivative of 335*g**3 + 110*g**2 - 254925*g - 1 wrt g. 2010*g + 220 What is the derivative of 189*m**3*n**4 + 2*m**3 + 39648*m**2 + 52*m*n - 1 wrt n? 756*m**3*n**3 + 52*m Differentiate 195*b**2*c + 7*b**2 + 2*b*c - 3*b + 20749*c + 2 with respect to b. 390*b*c + 14*b + 2*c - 3 Differentiate -2091515*l**3*o - 1094*l**3 + 3*l**2 - 3*l - 1 wrt o. -2091515*l**3 Find the third derivative of 3536051*t**3 - 28156*t**2 - 3*t - 6. 21216306 Find the first derivative of -2*i*j**3*k*s + 5*i*j*k*s + 3*i*s - 17299*j**3*s + 6*j*s - 3677*k wrt k. -2*i*j**3*s + 5*i*j*s - 3677 Find the third derivative of -175903*c**3*w + 252*c**2*w + 518*c**2 wrt c. -1055418*w Find the second derivative of 2*b**2*u**2 - 92*b**2*u + b**2 + 3228*u**3 - u wrt u. 4*b**2 + 19368*u Find the second derivative of -3*h**4*m - 3*h**4 + 990*h**2*m - 29*h*m + 323*m wrt h. -36*h**2*m - 36*h**2 + 1980*m What is the second derivative of 8*l**3*x**2 + 1133223*l**3*x - 105*l**2*x**2 - 64*l*x**2 - 2*x**2 wrt x? 16*l**3 - 210*l**2 - 128*l - 4 What is the third derivative of -6*w**5 + 63*w**4 - 74*w**3 + w**2 + 2401? -360*w**2 + 1512*w - 444 What is the first derivative of -13*k**4 + 2*k**2 + 277*k - 10933? -52*k**3 + 4*k + 277 What is the derivative of 4056890*l*s - 2311105*l wrt s? 4056890*l Differentiate 2*l*o**3 - 17214*l*o**2 - 2*l*o + 2*o**3 - 16674*o with respect to l. 2*o**3 - 17214*o**2 - 2*o Find the second derivative of 1128031*k**3 + 917350*k wrt k. 6768186*k Differentiate o**2*y + 96*o**2 + 32*o + y - 63831 with respect to o. 2*o*y + 192*o + 32 Find the third derivative of -r**4*s**3 + 1276*r**4*s**2 + 4*r**2 - 1764*r - s**3 - s**2 wrt r. -24*r*s**3 + 30624*r*s**2 What is the first derivative of -1096628*l*t - 2494572*l - 3*t**4 wrt t? -1096628*l - 12*t**3 Find the third derivative of 2261*m**2*x**4 + 2*m**2*x**3 - m**2*x**2 - 8*m**2*x - 10402*m*x**2 - 357*x**3 - 5*x**2 wrt x. 54264*m**2*x + 12*m**2 - 2142 What is the first derivative of -2262998*h**3 - 3154433 wrt h? -6788994*h**2 Differentiate -44*v*y**2 - 341*v + 2*y**2 - 211*y - 3 wrt v. -44*y**2 - 341 What is the second derivative of -7*f**3*w - f**3 - 656*f**2*w - f**2 + 17*f*w + 525*f - w + 5 wrt f? -42*f*w - 6*f - 1312*w - 2 Differentiate 294734*n**3 + 30545. 884202*n**2 Differentiate -20631*r + 39815 wrt r. -20631 Find the third derivative of 12696*y**6 - 2*y**5 - 8*y**3 + 389478*y**2. 1523520*y**3 - 120*y**2 - 48 Find the third derivative of -21*h*i*p**3 - h*i*p**2 + 3*h*i + 22*h*p**3 - 36*i*p**3 + i*p**2 + 8*i + 138*p + 2 wrt p. -126*h*i + 132*h - 216*i Differentiate -2654615*v + 2021314. -2654615 What is the second derivative of 3*f*i**4 - 193*f*i**2*l + 2*f*i*l + 65245*f*l - i**4 wrt i? 36*f*i**2 - 386*f*l - 12*i**2 Differentiate -30930*k**4 - 8*k**2 + 612849 with respect to k. -123720*k**3 - 16*k What is the third derivative of -1318308*x**4 + 3*x**3 - 2908237*x**2 - 1? -31639392*x + 18 Find the third derivative of -36488*t**5 + 5*t**4 + 685209*t**2. -2189280*t**2 + 120*t Find the second derivative of j**2*n**2*u - 5*j**2*n*u**2 + 4*j**2*u**3 - n**3 - 3343*n**2*u**3 - 870*n*u**2 wrt n. 2*j**2*u - 6*n - 6686*u**3 Differentiate 5*m**2*t - 8262*m**2 - 2*m - t + 577096 with respect to m. 10*m*t - 16524*m - 2 Find the second derivative of 2367138*d**2*t + 32228*d + 7*t wrt d. 4734276*t Find the first derivative of 3942*h**3*q**2 + 20843*h**3 - 2*h*q**3 wrt q. 7884*h**3*q - 6*h*q**2 What is the derivative of -126807*o**3*w**2 + 3*o**3*w + 17*o**3 + 4486*o**2 + 2*o + 2 wrt w? -253614*o**3*w + 3*o**3 Find the second derivative of -240437*h**2*o*z + 4*h**2*z + h**2 - 8*h*o*z - 11*h*o + 71*o*z + 2*o - z wrt h. -480874*o*z + 8*z + 2 Differentiate 1029*m**2*w - 1539*m**2 + 3*m*w + 10*m + 7*w - 3 with respect to w. 1029*m**2 + 3*m + 7 What is the first derivative of -4*j*z**2 - 2*j*z - 105533*j - 1133*z**2 - z wrt z? -8*j*z - 2*j - 2266*z - 1 Find the third derivative of -69581*z**4 - 64253*z**2 wrt z. -1669944*z Find the third derivative of -3*h**4*k + 48911*h**4*u + 27*h**2*k + 2*h**2*u + 3*h**2 - 8*h + k*u + k wrt h. -72*h*k + 1173864*h*u What is the second derivative of 4*b**2*m**2 - 13*b**2*m + 8*b**2 - 234*b*m**2 - 3*b*m - 37*b wrt b? 8*m**2 - 26*m + 16 What is the first derivative of 2*c*d**2*n - 2*c*n**3 + 77351*c*n**2 - 60575*d**2*n**3 - 2*d**2 wrt d? 4*c*d*n - 121150*d*n**3 - 4*d Find the second derivative of -6899914*o**4 + 825*o - 326. -82798968*o**2 Find the first derivative of -379225*f**4*o**3 + f*o**3 - 32*o**3 - 2148*o**2 - 2*o wrt f. -1516900*f**3*o**3 + o**3 What is the second derivative of -755743*d**2*l - 92*d*l + 2*d - 1336*l - 2 wrt d? -1511486*l What is the third derivative of -4024*w**2*x**4 + w**2*x**2 - 1127*w**2 - w*x**6 + w*x wrt x? -96576*w**2*x - 120*w*x**3 What is the second derivative of 1447*d**5 + 19*d**3 - 708*d - 51? 28940*d**3 + 114*d Find the second derivative of h**3 + 3054*h**2 + 116312*h. 6*h + 6108 What is the third derivative of 423818*g**3*k + 30*g**2*k - 35*g**2 + 2*g + 2*k wrt g? 2542908*k Find the third derivative of -12938*a**3*c**3 + 66176*a**3*c**2 - 6*c**4 wrt c. -77628*a**3 - 144*c What is the third derivative of 64*j**2*o**4 + 153615*j**2*o + 7853*j*o**6 + 2*j*o**2 wrt o? 1536*j**2*o + 942360*j*o**3 Find the third derivative of -51952*n**6 - n**2 - 111*n + 47 wrt n. -6234240*n**3 Find the second derivative of -6*f*y**2 - 36*f*y - 17835*y**2 + 5263*y wrt y. -12*f - 35670 What is the derivative of a**2*o**3 - 2964*a*l*o**3 - a*l + 19*l*o**3 + 11*o**3 wrt a? 2*a*o**3 - 2964*l*o**3 - l Differentiate t**3 + 2*t**2 + 4762*t - 438628 with respect to t. 3*t**2 + 4*t + 4762 Find the third derivative of -22*q**3*w - 2071*q**3 + 4*q**2 + 2*q*w + 380*w wrt q. -132*w - 12426 Find the second derivative of 497616*z**2 - z + 404571 wrt z. 995232 What is the third derivative of -2
{ "pile_set_name": "DM Mathematics" }
be (-2)/3 + -5 + 5. What is the closest to 6 in 1/4, q, r? 1/4 Suppose -10*v + 271 = -1409. Suppose -v + 169 = w. Which is the closest to 0.3? (a) -1/2 (b) -0.2 (c) -19 (d) w b Let y = -1.9 - -2. Let q = 8580.1 + -8580. What is the closest to y in q, -2/7, 4? q Suppose -11 + 6 = -3*z - 4*y, 0 = 4*z + 4*y. Suppose 0 = -2*n + s + 4, 9*n + 31 = 12*n - 4*s. What is the nearest to -1 in 23, n, z, 0.5? 0.5 Let k(w) = -496*w + 4462. Let y be k(9). Let c = 0 + -5. What is the closest to c in y, 3/4, 2/7? y Let u = -0.5 - -0.3. Let y = 94/153 + -18/17. Let m be (-5916)/969 + 6/1. What is the closest to 2/3 in u, m, y? m Let j = -2176.5 - -2176.59. Let r be 12/5*1 - 2. Which is the nearest to 0? (a) -1 (b) r (c) j c Suppose 0*l - 6*l = -30. Let f(i) = 39*i - 217. Let r be f(l). Which is the nearest to r? (a) -3 (b) 3 (c) -0.4 a Let b = 7487 - 7483. What is the closest to -4.2 in -0.5, b, -0.3? -0.5 Let x = -74 + 74.4. Let p = -4 + 4.4. Let w = p - x. Which is the closest to w? (a) -3/4 (b) 0.4 (c) 7 b Let v = 9613 + -28841/3. Which is the closest to 0? (a) v (b) 0.1 (c) 1 (d) 3 b Let v = 3 - 3.2. Let t = -0.00463 - -0.00463. Which is the closest to 2/5? (a) 0.2 (b) t (c) v (d) -40 a Let n = -340.97 - -341. What is the nearest to 1/4 in n, -2, -2/9? n Let g = 1/8 - 9/40. Let k = -257.6 - -253.6. Which is the nearest to 0.2? (a) -0.2 (b) k (c) g c Let m = -456 - -452. What is the nearest to -4/15 in m, -2/3, 5? -2/3 Let a(v) = -v**2 + 19*v - 65. Let x be (-4*(-2)/16)/2*20. Let z be a(x). What is the closest to -2 in -4/7, z, 1/3? -4/7 Let c = 18.8 - 2.8. Let p = 16.5 - c. Let x be 6/(-12) - 1/(-6). What is the closest to 0.2 in -0.4, p, x? p Let u = -3804.2 - -3804. What is the closest to -1 in -7, 24, u, 1/4? u Suppose -18*n + 21*n - 24 = 0. Let p = 2.191 + -6.191. Which is the nearest to 0.2? (a) p (b) 4 (c) n b Let b be 14/(1832/(-304) - -6). Let h be 2/7*(b/36)/19. What is the closest to 2/7 in -1.3, h, 1, -2/7? h Let g = 116.1 + -116. Let w = 0.825 + 0.175. What is the closest to w in g, 9, 2/5? 2/5 Let x = 10 + -13. Suppose 5*t + m = -90, 2*t - 5 = -2*m - 49. Let k = t - -69/4. Which is the closest to k? (a) 1/8 (b) x (c) 1 a Let j(x) = 9*x**3 + 3*x**2 - 4*x + 2. Let t be j(1). Let s be (-15)/t*2/5. Let q = 1 - 0.7. Which is the closest to -2/3? (a) 4/7 (b) s (c) q b Let z(x) = 505*x + 3530. Let h be z(-7). Let d = -24 - 6. What is the nearest to 0.1 in 0.2, h, d? 0.2 Let j = 81/86 - 749/430. What is the closest to 217 in 2/9, j, 1/3, 4? 4 Let u be -39*((-14)/(-3) + -4). Let h = u - -22. Let c = 60 - 61. What is the closest to 1 in h, c, 0? 0 Let p = 58.8 - 3.8. Let j = 60 - p. Let u = -15.2 + 15. Which is the nearest to -3/5? (a) j (b) u (c) -1/4 c Let l be ((-255)/(-75))/17 + 26/70. Which is the closest to -1/2? (a) 0 (b) -2.7 (c) l a Let j = 13.4 + -18.7. Let z = j + 3.3. What is the nearest to 0 in -1, z, 0.4? 0.4 Let r = 1/100 + 391/900. Let s = 2 - -3. Suppose s*g + 37 = 4*f, 11 = -4*g - 0*g - 3*f. Which is the nearest to g? (a) 2 (b) -5 (c) r b Let f = 7322.6 + -7322. What is the nearest to 0.1 in f, 11, -2/3? f Let r = -19.9 - -20. What is the nearest to 0.1 in 2/9, 0.3, r? r Let i = -1.3 + 0.7. Let u = 131 - 131.14. Let k = u - -0.14. What is the nearest to k in -1, -2/17, i? -2/17 Let r be 1045/35 + (-1)/(-7). Suppose -2*o = -5 - 11. Suppose -o*x + 14*x - r = 0. What is the nearest to -0.2 in 4, 3, x? 3 Let w = 3443 - 51653/15. Which is the closest to w? (a) -5 (b) -0.1 (c) 2 b Let r = 11 + -11.7. Let i = 2032629/8 + -253629. Let l = i - 450. Which is the nearest to -1/4? (a) l (b) -0.2 (c) r b Let v(q) = -20*q - 340. Let y be v(-17). What is the nearest to 4/5 in y, 0.2, 5, 0.01? 0.2 Let f = 0.1646 - -1.0354. What is the nearest to -2 in -1/3, -0.2, 1/7, f? -1/3 Let h = 41.24 - 42. Let p = 1.26 + h. Let l = -31/140 - 1/35. Which is the closest to -0.1? (a) p (b) -10 (c) l c Let k be (5 - 5) + 4/(-8). Let h = 98 + -96. Which is the closest to k? (a) -6 (b) h (c) 1 c Suppose -11*p = -3*p + 576. Let y = p + 77. What is the nearest to 0.1 in -2/9, y, -3? -2/9 Let z = -16750 - -16749. Which is the closest to 2/643? (a) 0 (b) -1/3 (c) z a Let z = -0.06173 - -0.02803. What is the nearest to 1 in z, 2, -4/7? 2 Let j(s) = -s**3 + 11*s**2 + 11*s - 4. Let l be j(12). Which is the nearest to 0.1? (a) l (b) 9 (c) -0.3 (d) -5/3 c Let x be -3*1 + 1/3*39. Suppose -2*m + w - 1 = 0, 6*m - x*m = 2*w - 10. Let t be ((-6)/(-27))/((-1)/1). Which is the closest to m? (a) 2/9 (b) t (c) -0.1 a Suppose 75*l = -23 - 52. Let n = 7.7 + -2.7. What is the nearest to 1 in 54, n, l? l Let x = -188 - -187.97. Let k = 0.18 - 0.28. Which is the closest to x? (a) -3 (b) k (c) 1 b Let x be 222/(5/(-20)*54). Let v = 788/45 + x. Let o = 9/10 - v. Which is the nearest to 2? (a) o (b) -2/3 (c) 0.4 c Let h = 7.281 - 0.181. Let m = 7 - h. Let x = 15/8 + -5/8. Which is the closest to 1? (a) -3/4 (b) m (c) x c Let u = -8.808 + 9.108. What is the closest to 394 in 1/7, u, -6? u Let v = -10113.06 - -10113. What is the nearest to v in 2/5, -1, 5, -4? 2/5 Let w = 2.4 - -62.66. Let z = w + -65. What is the nearest to -0.1 in z, 0, 1/3? 0 Let z = 0.124791 + -2.124791. Let w = -29/20 - -6/5. Which is the nearest to z? (a) w (b) 2/11 (c) 0.5 a Let g = 45.1373 - -0.8627. Suppose 2*u = 4*x + 16, 4*x = -3*u + 2*x - 8. What is the closest to u in -1/8, g, -0.5? -1/8 Let r = 0.4 + 0.1. Let m = 42 - 34.6. Let v = m - 7.5. Which is the closest to v? (a) -2/5 (b) 5 (c) r a Let x = -0.024 + -1.976. Let n = 2830 + -2831. What is the nearest to n in x, -10, -1? -1 Let q = 10.36 + -10.36. Which is the nearest to q? (a) -2 (b) 0.3 (c) -4/5 (d) -18 b Let k = -0.341 + 0.741. What is the nearest to -89 in 5, -1/2, k? -1/2 Let m = -2.9 + 3. Let s = 85 - 93. Let j = s - -4. What is the closest to m in j, -1, 1/2? 1/2 Let m be (-2 - -1) + 3/5. Let w = -1 + 2. Let s = -0.3528 + 0.5528. Which is the nearest to w? (a) 4 (b) m (c) s c Suppose -4*z - 20 + 8 = 0. Let n = 76.19 - 69.19. What is the nearest to z in 3, n, 5, -5? -5 Let y = -91.266 - -88.98. Which is the nearest to 0.1? (a) -4 (b) y (c) -4/5 c Let m = -1.56251 - -0.56251. Let z be 6/21 - (-102)/(-63). Which is the closest to 0.1? (a) -0.2 (b) m (c) z a Let o = -172.2 - -174.1. Let x = -24 + 21.6. Let z = o + x. What is the closest to 0.1 in z, 2, 0.1? 0.1 Let y = 4.858 - 4.45. Let o = y - 0.208. Which is the nearest to -2/7? (a) o (b) 1/18 (c) 0.1 b Let o(n) = -n - 8. Let f(y) be the second derivative of y**4/12 - 7*y**2 - 26*y. Let s be f(3). Let h be o(s). Which is the nearest to -1? (a) -4 (b) h (c) 5 b Suppose -u - 6*j + 9*j - 18 = 0, 0 = 2*u - 2*j + 16. Let o be (u + 4)*-6 - 23/(-4). Let f = 1 + -0.5. What is the nearest to -3/2 in f, o, -0.3? -0.3 Let p(a) = -a + 2. Let q be p(3). Let k = -123894.1 + 123894. What is the closest to k in -0.1, q, -0.24, -0.2? -0.1 Let n = 0.30973 - 7.30973. Which is the nearest to -29? (a) 18 (b) -0.4 (c) n c Suppose -394545 + 127566 = -510*g + 255261. Which is the closest to 1? (a) 2 (b) -0.5 (c) g a Let k = -0.3076 + 0.275. Let x = k - 20.8674. Let v = -21 - x. Which is the closest to v? (a) -0.1 (b) -0.5 (c) 0 a Let q = -0.1548 + 0.6548. Let t = -10 + 7. What is the closest to 0 in q, -0.2, t? -0.2 Let f = 0 + -0.2. Let m = -15 + 11. Let a be (-314)/785*((-120)/32 + 5). What is the nearest to f in m, 1/4, a? a Let g = -1.08531 - -0.08531. Let h = 10/13 + -44/91. What is the nearest to -2.5 in -0.1, h, g? g Let v = 78990/13 + -6074. What is the closest to v in 1/5, -1/2, -0.4? 1/5 Let q = 179.0203 + -179. Let g = q + -0.2203. Which is the closest to g? (a) 4 (b) 2 (c) -12 (d) 0.5 d Let a = 5387 - 5316. What is the closest to 2/5 in a, 2/71, -1/2? 2/71 Let o be 1/1*(20 + -23) - (-944)/304. What is the nearest to -71 in 2/9, -4, 0, o? -4 Suppose r - 3*r = -h + 7, -2*h - 5*r - 13 = 0. Let d = -8.22 + 0.22. Let g = -111 + 116. Which is the nearest to 1? (a) d (b) h (c) g b Let y be (-1)/(-2) + (-1)/(14/(-2247)). Let a be 5/((-20)/(-16)) + y/(-35). What is the closest to -11 in 1, -1, a, -0.5? -1 Let p = 0.63 - 0.8. Let s = 0.302 + p. Let o = s + -0.032. Which is the nearest to 0.06? (a) 3/5 (b) 1 (
{ "pile_set_name": "DM Mathematics" }
t n(p) be the second derivative of -p**5/20 - 7*p**4/12 - p**3/6 + 192*p**2 - 4779*p. What is the first derivative of n(g) wrt g? -3*g**2 - 14*g - 1 Let s(y) = -100*y**3 + 7*y**2 - 7*y + 398. Let o(g) = -100*g**3 + 6*g**2 - 6*g + 403. Let l(x) = 7*o(x) - 6*s(x). What is the derivative of l(i) wrt i? -300*i**2 What is the third derivative of 94*t**2 + 826*t**3 - 413*t**3 - 3 + t**5 + 1436*t**3 wrt t? 60*t**2 + 11094 Let t(l) = l + 1. Let x = 98 + -104. Let j(f) = f**4 - f**2 + 15*f + 9. Let b(v) = x*t(v) + j(v). Find the second derivative of b(o) wrt o. 12*o**2 - 2 Find the first derivative of -2576*m**3 - 1461*m**3 + 6767 - 4575*m**3 + 1849*m**3 wrt m. -20289*m**2 Let d(f) be the first derivative of f**5 - 111*f**4/4 + 1348*f**3/3 - f**2/2 + 1141. Find the third derivative of d(g) wrt g. 120*g - 666 Suppose -71*p + 21 = 2*x - 66*p, 5*x - 135 = 4*p. What is the second derivative of -3 - 7*h + x*h + 4 + 57*h - 125*h**4 wrt h? -1500*h**2 Let n(f) = -4*f**2 - f + 1. Let w(g) = -1397*g**2 - 1370*g - 5. Let u(m) = 5*n(m) + w(m). What is the second derivative of u(c) wrt c? -2834 Let z be (-206)/(-42) + (-44)/(-462). Find the third derivative of -t**3 + 8*t - 7*t + 4*t**z - 19*t**2 - 24*t**2 - t**3 wrt t. 240*t**2 - 12 What is the derivative of 1175*t**2 + 399 + 423 + 545 wrt t? 2350*t Let g(u) = 8*u**2 - 41*u + 2458. Let k(d) = 10*d**2 - 44*d + 2441. Let y(l) = -6*g(l) + 5*k(l). What is the first derivative of y(w) wrt w? 4*w + 26 Let i(r) = r**2 - 3*r + 2. Let l(d) = d**2 + 218*d + 6602. Let j(h) = 10*i(h) - l(h). Differentiate j(x) wrt x. 18*x - 248 Suppose 21*x = 17*x + 36. Differentiate -56 + 11*v + 22 - x*v wrt v. 2 Let b(j) = -88*j - 19. Let u be b(-4). Suppose -6*v + u = -1305. Find the second derivative of 12*z**5 + 279*z + 11*z**5 - v*z wrt z. 460*z**3 Let u be -3 + ((-2)/9 - (-141)/27). Find the second derivative of -38*t**2 - 9*t + 30*t + 14*t**u + 6 - 20*t + 4 wrt t. -48 Let v(i) be the first derivative of 2194*i**2 + 573*i + 2480. What is the derivative of v(n) wrt n? 4388 Suppose 2*x = 792 + 886. Find the second derivative of 8 + 5*f**5 - 6*f**5 - 5*f - x*f**4 + 770*f**4 wrt f. -20*f**3 - 828*f**2 Suppose 0 = 6*j + 281 + 31. Let y = j - -98. Find the second derivative of 4*x + 41*x - 9*x - y*x**2 wrt x. -92 Let t(g) be the second derivative of -907*g**4/4 + 5*g**3 - 2145*g. What is the second derivative of t(j) wrt j? -5442 Let l(b) be the second derivative of 9*b + 0 - 74*b**2 + 5/6*b**3. Differentiate l(k) with respect to k. 5 Let h(k) = 24348*k**3 - 2070*k**2 - 7*k. Let u(w) = 14609*w**3 - 1242*w**2 - 4*w. Let p(o) = 8*h(o) - 13*u(o). Find the third derivative of p(z) wrt z. 29202 Suppose 3 + 9 = 3*z, -2*x - 4*z = -20. What is the second derivative of -72*g + 70*g - 6 - g**3 + 0*g**3 - 52*g**x wrt g? -6*g - 104 Let p(x) be the third derivative of -x**4/6 - 29*x**3/6 - 33*x**2. Let a be p(-12). What is the second derivative of -4*b**4 - a*b**4 - b - 5*b - 8*b wrt b? -276*b**2 Let r(u) = -2970*u**4 + 23*u**2 - 3*u - 9. Let n(o) = -o**4 - 10*o**2 + o + 1. Let h(x) = -3*n(x) - r(x). Find the third derivative of h(w) wrt w. 71352*w What is the third derivative of -77*j - 92*j**6 - 2 + 77*j + 89*j**6 + 4 + 397*j**4 + 831*j**2 wrt j? -360*j**3 + 9528*j Suppose -4*g + 5*a = -16, 4*g = 2*a - 5*a + 16. Find the first derivative of 8 - 64 - 194*v**g + 129*v**4 wrt v. -260*v**3 Let m(g) = -g**3 - 17*g**2 + 26*g + 34. Let n be m(-19). What is the second derivative of -n*u**4 - 308*u**4 + 516*u**4 + 37*u wrt u? -648*u**2 Let v(x) be the first derivative of -1667*x**5 + 9293*x + 4256. Find the first derivative of v(s) wrt s. -33340*s**3 Let h = -755 - -990. What is the third derivative of -h*q**2 - 1184*q**4 + 2385*q**4 - 1192*q**4 wrt q? 216*q Let u(x) be the second derivative of 261*x**8/7 + 67*x**4 + 244*x + 3. Find the third derivative of u(q) wrt q. 250560*q**3 Let s(l) be the first derivative of -4203*l**4/4 + 1513*l**3/3 + l**2/2 - 695. Find the third derivative of s(i) wrt i. -25218 Suppose -33*v = -50*v. Let i(u) be the third derivative of -8/3*u**3 + 2*u**2 - 1/120*u**6 + v*u + 0*u**4 + 0*u**5 + 0. What is the derivative of i(z) wrt z? -3*z**2 Let q(n) = 39*n**2 - 18*n - 4. Suppose -229 = 4*a - 209. Let t(s) = 40*s**2 - 15*s - 5. Let u(z) = a*q(z) + 6*t(z). What is the derivative of u(w) wrt w? 90*w Suppose 3*b = -4*x + 172, -5*x = -b - 2*b - 188. What is the third derivative of x*k**3 + 5*k**2 - 4*k**2 - 50*k**2 + 5*k**2 wrt k? 240 What is the second derivative of -13*c**2 - c**4 + 1261*c + 17*c**2 - c**3 + 5138*c - 1141*c + 3*c**4 wrt c? 24*c**2 - 6*c + 8 Let m = -144 - -1029. Find the second derivative of -m*a**2 - 4*a + a**4 - 8 + 885*a**2 + 119*a**3 wrt a. 12*a**2 + 714*a Find the first derivative of 83*d**3 - 6 + 69*d**3 + 193 + 547*d**3 - 10 wrt d. 2097*d**2 Let r(s) be the second derivative of 0*s**6 - 4*s**2 + 1/7*s**8 + 0*s**7 + 3/20*s**5 + 1/12*s**4 + 0*s**3 - 39 + s. Find the third derivative of r(d) wrt d. 960*d**3 + 18 Find the second derivative of -d + 23 + 17*d**2 - 28 - 22*d**2 - 18*d**2 + 9*d wrt d. -46 Let s(u) = 416*u**3 + 833*u**2. Let f(n) = -416*n**3 - 833*n**2. Let v(j) = 3*f(j) + 4*s(j). What is the third derivative of v(z) wrt z? 2496 Let m(g) be the first derivative of 619*g**4/4 + 285*g**2/2 - 884. Find the second derivative of m(k) wrt k. 3714*k Let o = 298 + 113. Suppose -5*x - 5*g = -8*g - 1025, -o = -2*x + g. What is the third derivative of 2*z**2 + 208*z - 31*z**5 - x*z wrt z? -1860*z**2 Suppose 5*a + 4*j = 289, 2*a + j = -4*j + 119. What is the second derivative of a*n - 259*n**2 + 91*n**2 + 113*n**2 wrt n? -110 Let i(t) be the third derivative of -4313*t**5/30 - 3637*t**3/6 + 3*t**2 - 779. Differentiate i(c) with respect to c. -17252*c Let m(b) = 5561*b**2 + 5863*b - 5. Let y(l) = -8340*l**2 - 8792*l + 7. Let p(o) = 7*m(o) + 5*y(o). What is the second derivative of p(a) wrt a? -5546 Let g(m) = 24*m + 10*m + 4 - 3*m - m. Let a be (-260)/25 + 0 + (-12)/(-30). Let l(z) = z + 1. Let w(q) = a*l(q) + g(q). What is the derivative of w(o) wrt o? 20 Find the second derivative of -195*l**3 + 257*l - 60*l**3 - 70*l - 125*l - 38*l**3 wrt l. -1758*l Suppose 11*b = 14*b - 408. What is the third derivative of -94*v**3 - v**2 + b*v**3 - 84*v**3 + 2*v wrt v? -252 Let g(j) = j**2 - 7*j - 7. Let u be g(8). What is the second derivative of -45*z**3 - u + 13*z**3 - 52*z**3 - 31*z - 17*z**3 wrt z? -606*z Let y = 38 + -20. Let m be ((-12)/y)/((-6)/153 - 0). What is the derivative of 5 - 1 + 25*q**3 - m wrt q? 75*q**2 Let o(z) be the third derivative of 829*z**6/24 + z**5/15 - 28*z**4/3 - 184*z**2 + 11*z. What is the third derivative of o(d) wrt d? 24870 What is the second derivative of -7669*c + 11321*c**2 - 7509*c - 7553*c + 30458*c - 7462*c wrt c? 22642 Let v(j) be the second derivative of 4 + 11/6*j**4 + 22*j + 0*j**3 - 40*j**2. Differentiate v(o) with respect to o. 44*o Suppose r - 3*r - v + 1 = 0, -4*r = v - 5. What is the third derivative of 29*d**3 + 3*d + 28*d**r + 4*d + 3*d**3 - 6*d wrt d? 192 Let v(h) be the first derivative of 2*h**2 + 0*h**5 + 0*h**4 - 56 - 4*h - 13/3*h**6 + 0*h**3. Find the second derivative of v(i) wrt i. -520*i**3 Suppose 3*w + 3 = 0, -3*q + 18 + 50 = w. What is the first derivative of -33*d**2 - q*d**2 - 26*d**2 - 69 wrt d? -164*d Let y = 22 + -22. Suppose -3*u + u + 4 = y. What is the third derivative of 4*l**5 + 6*l**2 - 32*l**2 - 2*l**u wrt l? 240*l**2 Suppose 104 = 53*j - 108. What is the third derivative of 37*u**j - 209*u**6 - 4*u**2 - 37*u**4 - 56*u + 5*u**2 wrt u? -25080*u**3 Let h = 941 + -382. What is the third derivative of -108*l**2 + h*l**3 - 559*l**3 - 115*l**4 wrt l? -2760*l Find the third derivative of -846361 + 846361 + 1898*l**2 - 1538*l**5 wrt l. -92280*l**2 Let p(b) = -31*b**5 - 28*b. Let z(v) = 3*v - 35*v**5 + 20*v**5 - 17*v. Let r(f) = 2*p(f) - 5*z(f). What is the second derivative of r(j) wrt j? 260*j**3 Find the third derivative of -128*k**3 - 19 - 602*k**2 + 360*k**2 - 460*k**2 + 19 wrt k. -768 Suppose -3*c - 3 + 30 = 0. Suppose c*i = 3450 + 2877. Find the third derivative of -14*q**2 + 18*q**6 - 703*q**4 + i*q**4 wrt q. 2160*q**3 Let i be 4 + 2/4*(-11 - -7). What is the second derivative of 2 + 70*u + 2*u**3 - 23*u**3 - 58*u**2 + 58*u**i wrt u? -126*u Let c be (-
{ "pile_set_name": "DM Mathematics" }
- 4*n**2 Expand (-3*o + 5*o + 0*o)*(-121 + 121 + 51*o)*(-2*o + 1 - 1 + 5*o - o - 2*o + (-2 + 0 + 0)*(-6*o + 2*o + 3*o)). 204*o**3 Expand (k**2 + 3*k**2 - 3*k**2)*(-16*k + 15*k - 8*k)*(41 - 41 + 8*k). -72*k**4 Expand (-2*w - w + 2*w)*(4*w**3 + 3*w**3 - 4*w**3)*(6*w + 3*w - 6*w). -9*w**5 Expand (w**2 + 0*w**2 + w**2 + (w - w + 2*w)*(-3*w + 2*w + 2*w))*(48 - 26 - 25)*(6*w**2 - w**2 - 3*w**2). -24*w**4 Expand -354*r**4 + 8449 - 8449 - r + r - 2*r**4 + (-2*r**2 + 4*r - 4*r)*(-2*r + r**2 + 2*r) + 3 - 2*r**4 - 3. -360*r**4 Expand (-36*y + 0*y - 5*y)*(4 + 2 - 5) + 2*y + 0*y - 3*y. -42*y Expand p - 4 + 4 - 23 + 58*p + 23 - 6 + 6 + 8*p - 2*p - p + 4*p + (-2*p + 6*p - 3*p)*(5 - 2 - 1) - 4*p + 3*p - p. 68*p Expand (12 - 17 - 17)*(0*d + 0*d + 2*d)*(4*d - 4*d - 4*d)*(-3*d + 0*d + d). -352*d**3 Expand (-4*l + 5 - 5)*(-l**2 - l**2 - 75 + 10). 8*l**3 + 260*l Expand (-3*v**2 - v**2 + 2*v**2)*((7*v**3 - 3*v**3 - 3*v**3)*(-1 + 0 + 2) + 3 - 3 - 7*v**3 + 47*v**3 - 22*v**3 - 24*v**3). 10*v**5 Expand (11*u**5 + 0*u**5 + 3*u**5)*(3 + 7 - 1). 126*u**5 Expand r**3 - r**4 - r**3 + (-3*r + 5*r + 0*r)*(1 - 1 - r**3 + 0*r**3 + 4*r**3 - 2*r**3 + (-r**2 - 2*r**2 - 3*r**2)*(5*r - 8*r + 0*r)). 37*r**4 Expand (-3*d - 2*d**2 + 3*d + (0*d**2 + d**2 - 3*d**2)*(0 + 3 - 4) - d**2 + 0*d**2 + 0*d**2)*(19*d - 12*d - 2 - 19*d). 12*d**3 + 2*d**2 Expand (-2 - 1 - 2 + (-3 - 1 + 3)*(-3 - 1 + 2))*(-68 + 68 + 5*l). -15*l Expand -2*i**5 + i**5 + 0*i**5 + (2 - i - 2)*(i**4 + i**4 + 0*i**4) + 18*i**5 + 2*i**5 - 6*i**5 - 2 + 2*i**5 + 2 + 4 - 4 - 2*i**5. 11*i**5 Expand (-2*h + h + 3*h)*(-163*h + 258*h - 152*h) + (h**2 + 5*h**2 - 4*h**2)*(1 + 3 - 6) + 3*h**2 - 4*h**2 + 0*h**2. -119*h**2 Expand -178*c + 207*c - 344*c + 2 + 2*c - 2 + 5*c - 5*c + c + (-3*c + c + 0*c)*(-2 - 3 + 4). -310*c Expand (-4*j + 4*j - 4*j**2)*((-j - 3*j + j)*(0 + 1 - 4) - 1 - j + 1). -32*j**3 Expand (-5*o - 15*o - 6*o)*(-6 + 2 + 0). 104*o Expand -2 + 2*l + 2 + 2*l - 2*l + 2*l + (3 - 6 + 1)*(2 - 2*l - 2) - l - 2*l + 5*l - 3*l + l + 3*l + (-2 + 9 - 1)*(32 - 32 + 49*l). 305*l Expand -5*c + 2*c + 0*c + (0 - 3 + 0 + (4 - 1 - 2)*(6 - 3 - 1))*(-3*c - 2*c + 10*c). -8*c Expand -3*k + 9*k**4 - 8*k**4 + 7*k + (k + 3*k - 6*k)*(-3*k**3 + 3*k**3 - 2*k**3). 5*k**4 + 4*k Expand (-495*c**2 + 100*c**2 + 180*c**2)*(-2*c - 2*c**3 + 2*c). 430*c**5 Expand (5*n + 4*n - 5*n)*((-5*n + 3*n + 0*n)*(2*n**2 - 2 + 2) - 3*n**3 + 5*n**3 - 4*n**3) + (-n - n + n)*(56*n**3 - 4*n**3 + 50*n**3). -126*n**4 Expand 4*b - 4*b + 10*b - b - b + b + (b + 0*b - 3*b)*(-2 - 1 + 2). 11*b Expand (-3 + 3 + 3*p + (-5*p + 3*p + 0*p)*(6 - 3 - 2))*(-2 - 5 + 5)*(10*p**4 - 4*p + 4*p). -20*p**5 Expand (228 - a + a**2 - 568 + 266)*(4*a**2 - 2*a**2 - a**2). a**4 - a**3 - 74*a**2 Expand (3 + 1 - 5)*(5*d - 2*d - 4*d) - 4*d + 3*d - 4*d + (-2*d + 2*d + 2*d)*(-3 + 0 + 2)*(1 + 0 - 4). 2*d Expand (2*c - 3*c - 2*c)*(2*c**2 - 3*c**2 - c**2 + 0*c + 0*c - 2*c**2 + (3*c - 2*c - 2*c)*(116 - 31*c - 116)). -81*c**3 Expand ((-4*w - 6*w - 6*w)*(-1 + 1 + w) - w**2 + 7*w**2 + 0*w**2)*(-7*w + w + 3*w). 30*w**3 Expand (-4*a - 3*a + a)*(4 + 2*a - 4) + (-a + 3*a - a)*(-2*a + 6*a - 2*a). -10*a**2 Expand 6*y**4 - 2*y**4 - 2*y**4 + (-2*y**2 + 3*y**2 - 3*y**2)*(0 + 0 + 3*y**2) + 3 - y**4 - 3 + 8*y**4 + 27*y**4 - 4*y**4. 26*y**4 Expand (-22*i - 22*i - 9*i)*(2 + 2 + 0)*(-1 + 2 + 0)*(4*i - 6*i + 3*i). -212*i**2 Expand (a - a + 2*a**3)*(3 - 2 + 1) + 3*a**3 - 4*a**3 + 0*a**3 + 3*a**3 + 2*a**3 - 6*a**3 + 69*a**3 - 92*a**3 - 68*a**3. -89*a**3 Expand (-4*k + 5*k + k)*(k**4 + k**2 - k**2) + 5*k**5 - 3*k**5 - k**5 + (k**4 + 27*k**4 - 2*k**4)*(-3 - 3*k + 3 - 4*k + 4*k + 4*k + (2 - 2 + 2*k)*(2 - 4 + 3)). 81*k**5 Expand (1 - 4 - 1)*(2*g - g - 3 + 4 + (0*g - 3*g + g)*(2 + 0 - 3) + 6*g + 2*g + 10*g). -84*g - 4 Expand (-640 - 471 + 1336)*(0*q**2 + 0*q**2 + q**2). 225*q**2 Expand -3*v**2 - v**2 + v**2 + 3*v**2 - v**2 + 0*v**2 + (2*v - 1 + 1)*(-1 + 1 + 2*v) - 4*v**2 - 2*v**2 + 4*v**2 + (-2*v + v - 7*v)*(3 - 3 + 2*v). -15*v**2 Expand (13 - 13 + 4*m**5)*(4 - 12 - 6) + m**5 - 2*m**3 + 2*m**3 + (-4 + m**3 + 4)*(-m**2 - 3*m**2 + 6*m**2). -53*m**5 Expand (-1 + 3 + 1)*(-4 + 2 + 3)*(3 + 1 - 2)*(2*k**3 + 2*k**3 - 3*k**3 + (-2 + k**2 + 2)*(-7*k + 9*k + 25*k)). 168*k**3 Expand 518*b**4 + 39347*b**2 - 39347*b**2 + (0*b**4 - 3*b**4 + 2*b**4)*(3 - 1 - 1). 517*b**4 Expand (-25*c - 11*c + 11*c)*(4*c - 3*c + c + (1 + 1 - 1)*(-4*c + 5*c + c)). -100*c**2 Expand (-24*z**4 + 5*z**3 - 10*z**3 + 4*z**3)*(z - 4*z + 4*z)*(-1 + 2 - 2)*(5 + 2 - 5 + (-3 + 3 - 1)*(-1 + 3 - 3) - 4 - 1 + 3). 24*z**5 + z**4 Expand (-16*g**2 - 12 + 12)*(3 + 0 - 4 + (4 + 0 - 3)*(1 - 2 + 0) + 2 + 1 - 2). 16*g**2 Expand (-19 - 15 - 5)*(6*j - 2*j + 4*j). -312*j Expand -2*k**2 + 49336*k + 0*k**2 - 49771*k + (0*k + 0*k - 2*k)*(0 - 2*k + 0). 2*k**2 - 435*k Expand (d**2 + 6*d**2 - 4*d**2)*(-51*d**3 + 8*d**2 + 93*d**3 - 43*d**3 + 2*d). -3*d**5 + 24*d**4 + 6*d**3 Expand (0 + 0 - 2*f)*(-4*f**3 + 2*f**3 + f**3) + (0 - 2*f + 0)*(-13*f**3 - 19*f**3 + 8*f**3) + 2*f**4 - 3*f**4 - f**4. 48*f**4 Expand (9 + 27 - 6*h - 14)*(-h**3 + h**3 - 4*h**4). 24*h**5 - 88*h**4 Expand (-1 - 2 + 0)*(3*b + 75*b**4 - 3*b - 193*b**4). 354*b**4 Expand (-l + 2 - 2)*(-3 + 1 + 8) + (-3*l + 2*l - l)*(4 + 0 - 5) + 5 - l - 5. -5*l Expand 4*g**3 - 8*g**3 + 5*g**3 + (70 - 70 + g)*(0*g + 5*g - 4*g)*(-2 + 0 + 0)*(-4*g + 0*g + 5*g). -g**3 Expand -99*i**2 - 74*i**2 + 84*i**2 + (4 - 2 + 0)*(0*i**2 + 0*i**2 + 2*i**2) - i**2 - 2*i + 2*i. -86*i**2 Expand (1 - 4 + 1)*(2*a + 0*a - 4*a) - 4*a - 6*a + 4*a + (-3*a + 6*a - a)*(-5 - 5 + 6) - a + 0 + 2 + 0. -11*a + 2 Expand (0 + 7 - 4)*(2*q**3 - q**3 - 3*q**3) + 0 + 0 - 1 + q**3. -5*q**3 - 1 Expand 4*j**2 - 3*j**2 - 2*j**2 + (2 - 2 + 2*j)*(9*j - 6*j + 8*j). 21*j**2 Expand (243 - 66 - 52)*(4 + 3 - 1)*((-1 - 2*c + 1)*(-1 + 4 - 1) - c + c - 2*c). -4500*c Expand 6*t**4 - 4*t**4 - 4*t**4 + (-2*t + 4*t - 4*t)*(2*t**3 + 3*t**3 - 3*t**3) - 55*t**4 + 82*t - 82*t. -61*t**4 Expand (-4 - 2 - 5)*(-1 + 0 + 0)*(2*u - 3*u + 3*u). 22*u Expand (-3 + 4 + 16)*(2*w - 2*w + w + 2*w + 1 - 1 + (3*w - w + 0*w)*(-2 + 2 + 1) - w - w + 3*w) + (2 + 3 - 7)*(-2*w + 3*w + 0*w). 100*w Expand (0 + 2 + 0)*(5 + 14 + 320*i - 19). 640*i Expand (-2*k + 3*k + 0*k)*(41*k - 20*k - 16*k). 5*k**2 Expand (0 + 4 - 1)*(-2*n**2 - 7*n + 7*n)*(3 + 0 + 1). -24*n**2 Expand -p**2 + p - p - 2*p**2 + p**2 + 3*p**2 + (-2 + 2 + p)*(2*p + 0 + 0) + 1 - 1 - p**2 + 7*p**2 - 7*p**2 + 10*p**2 + 3*p**2 + 3*p**2 + 2*p**2. 20*p**2 Expand (-3 - 1 + 3)*(-32 + 4 - 3)*(2*n**2 + 0*n**2 - 3*n**2). -31*n**2 Expand (27 - 59 + 24)*(-5*s**4 + 4*s**4 - s**4) - 3*s**4 + 4*s**4 - 2*s**4 - 2*s**4 - 1 + 1. 13*s**4 Expand (0*g**3 - g**3 + 3*g**3)*(-141 - 7*g + 142 + g) - 34*g**2 - 5*g + 34*g**2 + g**4. -11*g**4 + 2*g**3 - 5*g Expand 1 + 10*r**3 + 4*r**3 + 0 + (-r**2 + 3*r**2 - r**2)*(-r + 2*r + 0*r) + (3 - 3 + 4)*(-r**3 - r**3 + 5*r**3). 27*r**3 + 1 Expand (1 - 1 + 2*f**2)*(-37*f + 28*f + 9*f - 846*f**3). -1692*f**5 Expand -2*h**3 + 3*h**3 - 9*h**3 - 36*h + 21*h - h**2 + 8*h**3 + 17*h + (0 - 1 - 1)*(0*h**3 + h**3 + 0*h**3) - 5*h**3 + 2*h**3 + h**3. -4*h**3 - h**2 + 2*h Expand (2 + d - 2)*(3*d + 0*d - 4*d + (0 + 8 - 2)*(5*d - 2*d + 0*d) + 2*d - 2*d - 3*d). 14*d**2 Expand (r**3 - r**3 - r**4)*(1 + 1 + 3)*(2 + 0 - 1)*(-10 + 6 - 10). 70*r**4 Expand (-5*n - n + 2*n + n + n - 5*n + 0*n + n - 2*n + (2 - 5 + 4)*(-2*n + n - n) - 2*n - 2*n + 3*n)*(n - 2*n - 3*n)*(0 - 1 + 4). 132*n**2 Expand (-b**3 + 4*b**3 - 2*b**3)*(-3 + 3 - 2)*(-70 - 27 - 33 - b). 2*b**4 + 260*b**3 Expand ((-1 + 3 - 3)*(0*f - f + 2*f) + 4*f + 0*f - 5*f)*(15 + 93 + 125). -466*f Expand (-11*g + 55*g + 38*g)*(-4 + 1 + 2)*(3*g - 4*g + 3*g). -164*g**2 Expand (m**5 + 2 - 2)*(-1 + 5 - 3) - 69*m**5 + 44*m**3 - 32*m**5 - 42*m**3 + (2 + 2 - 7)*(5*m**5 - 6*m**5 + 4*m**5). -109*m**5 + 2*m**3 Expand -6*i**2 + 2*i**2 + 7*i**2 + (i + 0*i + 2 - 3*i)*(-140 - 26*i + 140). 55*i**2 - 52*i Expand (-7177*s + 3 + 7177*s + 2*s**3)*(-1 + 1 - 7*s). -14*s**4 - 21*s Expand (-2*u**3 - 25*u**3 + 3*u**3)*(2*u**2 + 3 - 3) + 4*u**5 - u - 3*u**5 + 2*u. -47*u**5 + u Expand (5 - 1 - 1)*(-82*d - 1 + 111*d - 56*d). -81*d - 3 Expand (-6*d - 7*d - 3*d)*(-2 - 2 + 2)*(-d**4 + d**4 - 2*d**4) - d**5 - 5*d**5 + 5*d**5. -65*d**5 Expand (0 + 1 - 2)*(61 + 7 - 4)*(-18 + 18 - 7*r). 448*r Expand ((1 + 1 - 5)*(0 + 0 - 1) + 9 - 4 + 3)*(4 - 5 - 1 + (-6 + 3 +
{ "pile_set_name": "DM Mathematics" }
t of 4241? 1 What is the units digit of 10221? 1 What is the units digit of 10390? 0 What is the units digit of 32384? 4 What is the hundreds digit of 2071? 0 What is the units digit of 819? 9 What is the thousands digit of 4095? 4 What is the hundreds digit of 301? 3 What is the tens digit of 1662? 6 What is the hundreds digit of 4298? 2 What is the tens digit of 10423? 2 What is the ten thousands digit of 39134? 3 What is the hundreds digit of 23247? 2 What is the hundreds digit of 63460? 4 What is the tens digit of 44426? 2 What is the hundreds digit of 2052? 0 What is the hundreds digit of 1100? 1 What is the tens digit of 12649? 4 What is the units digit of 951? 1 What is the thousands digit of 4792? 4 What is the tens digit of 357? 5 What is the thousands digit of 5232? 5 What is the ten thousands digit of 42869? 4 What is the tens digit of 28813? 1 What is the thousands digit of 12823? 2 What is the tens digit of 3410? 1 What is the ten thousands digit of 24704? 2 What is the hundreds digit of 50512? 5 What is the hundreds digit of 1045? 0 What is the thousands digit of 53039? 3 What is the tens digit of 71168? 6 What is the tens digit of 1579? 7 What is the tens digit of 3143? 4 What is the units digit of 3542? 2 What is the units digit of 18813? 3 What is the tens digit of 14949? 4 What is the units digit of 603? 3 What is the thousands digit of 6813? 6 What is the units digit of 29264? 4 What is the hundred thousands digit of 134264? 1 What is the hundreds digit of 134? 1 What is the hundreds digit of 699? 6 What is the units digit of 58915? 5 What is the tens digit of 1420? 2 What is the tens digit of 8761? 6 What is the units digit of 57372? 2 What is the tens digit of 549? 4 What is the units digit of 655? 5 What is the hundreds digit of 19119? 1 What is the thousands digit of 6807? 6 What is the units digit of 273? 3 What is the tens digit of 519? 1 What is the hundreds digit of 434? 4 What is the ten thousands digit of 50954? 5 What is the hundreds digit of 24846? 8 What is the units digit of 32566? 6 What is the tens digit of 4839? 3 What is the units digit of 1364? 4 What is the units digit of 7511? 1 What is the tens digit of 6638? 3 What is the hundreds digit of 9500? 5 What is the thousands digit of 13558? 3 What is the units digit of 394? 4 What is the hundreds digit of 4656? 6 What is the thousands digit of 4318? 4 What is the thousands digit of 10598? 0 What is the thousands digit of 1569? 1 What is the tens digit of 4535? 3 What is the hundreds digit of 23978? 9 What is the units digit of 1936? 6 What is the ten thousands digit of 28543? 2 What is the hundreds digit of 15529? 5 What is the hundreds digit of 16216? 2 What is the units digit of 1421? 1 What is the units digit of 251? 1 What is the hundreds digit of 9187? 1 What is the units digit of 756? 6 What is the tens digit of 6369? 6 What is the units digit of 14143? 3 What is the thousands digit of 34731? 4 What is the tens digit of 102498? 9 What is the thousands digit of 69708? 9 What is the thousands digit of 4239? 4 What is the hundreds digit of 1246? 2 What is the units digit of 127296? 6 What is the thousands digit of 2390? 2 What is the hundred thousands digit of 109872? 1 What is the units digit of 2459? 9 What is the ten thousands digit of 12206? 1 What is the thousands digit of 3510? 3 What is the thousands digit of 142851? 2 What is the units digit of 6762? 2 What is the units digit of 4733? 3 What is the thousands digit of 9754? 9 What is the hundreds digit of 26406? 4 What is the tens digit of 81? 8 What is the tens digit of 24631? 3 What is the thousands digit of 3843? 3 What is the thousands digit of 60918? 0 What is the hundreds digit of 1436? 4 What is the units digit of 562? 2 What is the thousands digit of 10651? 0 What is the thousands digit of 1077? 1 What is the thousands digit of 14822? 4 What is the hundreds digit of 55478? 4 What is the hundreds digit of 12214? 2 What is the units digit of 33673? 3 What is the tens digit of 943? 4 What is the tens digit of 783? 8 What is the hundreds digit of 340? 3 What is the hundreds digit of 50623? 6 What is the units digit of 85? 5 What is the tens digit of 1743? 4 What is the tens digit of 19039? 3 What is the tens digit of 1295? 9 What is the hundreds digit of 316? 3 What is the units digit of 8? 8 What is the units digit of 8083? 3 What is the hundreds digit of 38426? 4 What is the tens digit of 1267? 6 What is the units digit of 71138? 8 What is the tens digit of 6721? 2 What is the units digit of 98? 8 What is the hundreds digit of 2014? 0 What is the units digit of 2016? 6 What is the units digit of 621? 1 What is the tens digit of 10588? 8 What is the units digit of 14326? 6 What is the tens digit of 18178? 7 What is the thousands digit of 19990? 9 What is the units digit of 52565? 5 What is the units digit of 117427? 7 What is the units digit of 5901? 1 What is the thousands digit of 76113? 6 What is the tens digit of 8702? 0 What is the ten thousands digit of 18762? 1 What is the thousands digit of 6646? 6 What is the units digit of 119? 9 What is the hundreds digit of 75315? 3 What is the tens digit of 1030? 3 What is the units digit of 2153? 3 What is the hundreds digit of 906? 9 What is the units digit of 9782? 2 What is the thousands digit of 3605? 3 What is the hundreds digit of 26413? 4 What is the units digit of 9164? 4 What is the thousands digit of 5758? 5 What is the thousands digit of 4745? 4 What is the units digit of 1479? 9 What is the tens digit of 186515? 1 What is the tens digit of 403? 0 What is the thousands digit of 9945? 9 What is the hundreds digit of 953? 9 What is the hundred thousands digit of 116709? 1 What is the hundreds digit of 646? 6 What is the thousands digit of 16938? 6 What is the thousands digit of 118221? 8 What is the hundreds digit of 12948? 9 What is the hundreds digit of 14703? 7 What is the hundreds digit of 1558? 5 What is the thousands digit of 2323? 2 What is the units digit of 3978? 8 What is the hundreds digit of 62764? 7 What is the hundreds digit of 4613? 6 What is the units digit of 873? 3 What is the thousands digit of 11503? 1 What is the hundreds digit of 8650? 6 What is the units digit of 356? 6 What is the tens digit of 185? 8 What is the hundreds digit of 20876? 8 What is the thousands digit of 12992? 2 What is the units digit of 300? 0 What is the tens digit of 657? 5 What is the hundreds digit of 122256? 2 What is the units digit of 66550? 0 What is the thousands digit of 22894? 2 What is the tens digit of 62? 6 What is the units digit of 7442? 2 What is the thousands digit of 18626? 8 What is the thousands digit of 5628? 5 What is the hundreds digit of 1537? 5 What is the thousands digit of 26942? 6 What is the tens digit of 159? 5 What is the tens digit of 1050? 5 What is the units digit of 494? 4 What is the hundreds digit of 194? 1 What is the hundreds digit of 3315? 3 What is the hundreds digit of 13184? 1 What is the hundreds digit of 6274? 2 What is the units digit of 1249? 9 What is the hundreds digit of 3620? 6 What is the hundreds digit of 1381? 3 What is the units digit of 312? 2 What is the tens digit of 1996? 9 What is the hundreds digit of 857? 8 What is the thousands digit of 7227? 7 What is the units digit of 5298? 8 What is the tens digit of 7756? 5 What is the tens digit of 842? 4 What is the thousands digit of 136074? 6 What is the hundreds digit of 179595? 5 What is the tens digit of 15798? 9 What is the tens digit of 69119? 1 What is the hundreds digit of 3186? 1 What is the hundreds digit of 2017? 0 What is the ten thousands digit of 14413? 1 What is the tens digit of 3902? 0 What is the tens digit of 879? 7 What is the tens digit of 23611? 1 What is the hundreds digit of 1844? 8 What is the tens digit of 13461? 6 What is the tens digit of 168? 6 What is the thousands digit of 45733? 5 What is the hundreds digit of 1482? 4 What is the thousands digit of 4672? 4 What is the hundreds digit of 11883? 8 What is the ten thousands digit of 74337? 7 What is the thousands digit of 2140? 2 What is the tens digit of 1513? 1 What is the thousands digit of 6686? 6 What is the units digit of 3626? 6 What is the thousands d
{ "pile_set_name": "DM Mathematics" }
23739*n**2 - 2*n - 10 What is the a'th term of 14, -57, -222, -475, -810? a**3 - 53*a**2 + 81*a - 15 What is the s'th term of 2861829, 2861830, 2861831? s + 2861828 What is the p'th term of -35448, -70898, -106348? -35450*p + 2 What is the i'th term of -765, -6150, -20763, -49218, -96129, -166110? -769*i**3 - 2*i + 6 What is the f'th term of 951, 1936, 2921, 3906, 4891? 985*f - 34 What is the b'th term of 13415, 26814, 40213, 53612, 67011? 13399*b + 16 What is the g'th term of -346, -990, -2078, -3832, -6474, -10226, -15310? -37*g**3 - 385*g + 76 What is the d'th term of -284, -557, -826, -1091? 2*d**2 - 279*d - 7 What is the u'th term of -29, -140, -455, -1076, -2105, -3644, -5795? -17*u**3 + 8*u - 20 What is the m'th term of 7287, 58192, 196375, 465474, 909127? 7273*m**3 + m**2 - 9*m + 22 What is the b'th term of -14, 0, 48, 148, 318, 576, 940? 3*b**3 - b**2 - 4*b - 12 What is the q'th term of -925, -930, -967, -1054, -1209? -3*q**3 + 2*q**2 + 10*q - 934 What is the q'th term of 107, 59, -73, -331, -757? -7*q**3 + q + 113 What is the t'th term of -5929, -5908, -5863, -5788, -5677? t**3 + 6*t**2 - 4*t - 5932 What is the m'th term of -887, -530, -173, 184, 541? 357*m - 1244 What is the h'th term of -1253, -2446, -3639? -1193*h - 60 What is the p'th term of 22831, 22825, 22817, 22807, 22795? -p**2 - 3*p + 22835 What is the x'th term of -1482, -1361, -1240, -1119, -998? 121*x - 1603 What is the j'th term of -1750, -6652, -14816, -26236, -40906, -58820, -79972, -104356? j**3 - 1637*j**2 + 2*j - 116 What is the d'th term of 106, 315, 648, 1093, 1638? -2*d**3 + 74*d**2 + d + 33 What is the k'th term of -51866, -51859, -51852, -51845, -51838? 7*k - 51873 What is the r'th term of 26989, 53971, 80953, 107935, 134917? 26982*r + 7 What is the a'th term of 1598, 3081, 4564, 6047? 1483*a + 115 What is the c'th term of -292675, -292676, -292677, -292678, -292679? -c - 292674 What is the m'th term of 1486, 2947, 4410, 5875, 7342? m**2 + 1458*m + 27 What is the k'th term of -20634, -20640, -20644, -20646, -20646, -20644, -20640? k**2 - 9*k - 20626 What is the k'th term of 2981, 11950, 26899, 47828, 74737, 107626? 2990*k**2 - k - 8 What is the b'th term of 14849, 14853, 14861, 14873, 14889, 14909, 14933? 2*b**2 - 2*b + 14849 What is the c'th term of -221, -300, -395, -506, -633? -8*c**2 - 55*c - 158 What is the v'th term of -131, -355, -723, -1229, -1867? v**3 - 78*v**2 + 3*v - 57 What is the j'th term of -1041, -2069, -3077, -4059, -5009, -5921, -6789, -7607? j**3 + 4*j**2 - 1047*j + 1 What is the c'th term of 2598, 5191, 7772, 10335, 12874, 15383, 17856? -c**3 + 2600*c - 1 What is the x'th term of -1768, -7035, -15796, -28045, -43776, -62983? x**3 - 1753*x**2 - 15*x - 1 What is the j'th term of -28682, -57311, -85940? -28629*j - 53 What is the q'th term of 261524, 523046, 784570, 1046096, 1307624? q**2 + 261519*q + 4 What is the z'th term of -1182, -37, 1108? 1145*z - 2327 What is the y'th term of 5776, 5799, 5822, 5845, 5868? 23*y + 5753 What is the j'th term of 3525, 3501, 3479, 3459, 3441? j**2 - 27*j + 3551 What is the z'th term of 36, 50, 82, 144, 248, 406, 630, 932? 2*z**3 - 3*z**2 + 9*z + 28 What is the i'th term of 104, 2018, 5192, 9620, 15296? -i**3 + 636*i**2 + 13*i - 544 What is the i'th term of -38624, -77256, -115890, -154526, -193164, -231804, -270446? -i**2 - 38629*i + 6 What is the n'th term of 43163, 86326, 129489, 172652, 215815? 43163*n What is the x'th term of 164, 598, 1314, 2312, 3592, 5154, 6998? 141*x**2 + 11*x + 12 What is the k'th term of 58218, 116429, 174640? 58211*k + 7 What is the n'th term of -1120, -2269, -3420, -4573, -5728? -n**2 - 1146*n + 27 What is the s'th term of 1184049, 1184051, 1184053? 2*s + 1184047 What is the k'th term of 30019, 60031, 90045, 120061, 150079, 180099, 210121? k**2 + 30009*k + 9 What is the n'th term of 1773, 3476, 4999, 6252, 7145, 7588, 7491, 6764? -15*n**3 + 1808*n - 20 What is the f'th term of -13018, -26028, -39036, -52042, -65046, -78048? f**2 - 13013*f - 6 What is the s'th term of 2846, 11506, 25940, 46148? 2887*s**2 - s - 40 What is the t'th term of -130, -92, -8, 146, 394, 760? 4*t**3 - t**2 + 13*t - 146 What is the c'th term of 12025, 11994, 11963, 11932, 11901? -31*c + 12056 What is the y'th term of 103298, 206589, 309880, 413171? 103291*y + 7 What is the d'th term of 16986, 33960, 50924, 67878, 84822, 101756? -5*d**2 + 16989*d + 2 What is the g'th term of -466, -770, -996, -1144, -1214, -1206, -1120? 39*g**2 - 421*g - 84 What is the k'th term of 538, 2188, 4950, 8824, 13810, 19908? 556*k**2 - 18*k What is the i'th term of -19098, -19099, -19100, -19101, -19102? -i - 19097 What is the l'th term of 663, 5023, 16859, 39909, 77911, 134603, 213723, 319009? 623*l**3 - l + 41 What is the c'th term of 40, 223, 520, 925, 1432, 2035? -c**3 + 63*c**2 + c - 23 What is the w'th term of 2457, 9799, 22051, 39225, 61333, 88387, 120399? 2*w**3 + 2443*w**2 - w + 13 What is the k'th term of 4271, 8528, 12785, 17042, 21299? 4257*k + 14 What is the a'th term of -1498, -1477, -1412, -1279, -1054, -713, -232, 413? 4*a**3 - 2*a**2 - a - 1499 What is the d'th term of 95498, 190995, 286492, 381989, 477486, 572983? 95497*d + 1 What is the c'th term of -1482, -1847, -2210, -2571? c**2 - 368*c - 1115 What is the o'th term of 3161, 6336, 9519, 12710, 15909, 19116? 4*o**2 + 3163*o - 6 What is the m'th term of 527, 1060, 1581, 2084, 2563, 3012? -m**3 + 540*m - 12 What is the b'th term of 187, 306, 553, 970, 1599, 2482, 3661, 5178? 7*b**3 + 22*b**2 + 4*b + 154 What is the l'th term of 10399, 10437, 10475, 10513, 10551? 38*l + 10361 What is the t'th term of -1396, -1360, -1316, -1258, -1180, -1076, -940, -766? t**3 - 2*t**2 + 35*t - 1430 What is the n'th term of 11404, 11534, 11750, 12052, 12440, 12914? 43*n**2 + n + 11360 What is the t'th term of 101471, 101472, 101473, 101474, 101475? t + 101470 What is the v'th term of 48, 125, 254, 459, 764, 1193? 4*v**3 + 2*v**2 + 43*v - 1 What is the v'th term of -75091, -75073, -75055, -75037? 18*v - 75109 What is the i'th term of 99, 132, 207, 336, 531, 804, 1167, 1632? 2*i**3 + 9*i**2 - 8*i + 96 What is the w'th term of -1490, -1450, -1384, -1292, -1174? 13*w**2 + w - 1504 What is the z'th term of 3321, 6672, 10025, 13380, 16737? z**2 + 3348*z - 28 What is the f'th term of -3628, -7248, -10860, -14464, -18060, -21648, -25228? 4*f**2 - 3632*f What is the t'th term of -4979, -10071, -15163, -20255? -5092*t + 113 What is the a'th term of 2504, 5004, 7470, 9908, 12324, 14724, 17114? a**3 - 23*a**2 + 2562*a - 36 What is the a'th term of 4551, 4552, 4553? a + 4550 What is the i'th term of 5640, 11309, 17010, 22761, 28580? 3*i**3 - 2*i**2 + 5654*i - 15 What is the j'th term of 65574, 65573, 65554, 65511, 65438? -j**3 - 3*j**2 + 15*j + 65563 What is the g'th term of -180, -169, -122, -21, 152, 415, 786? 3*g**3 - 10*g - 173 What is the t'th term of 496, 3884, 13058, 30910, 60332, 104216, 165454, 246938? 482*t**3 + t**2 + 11*t + 2 What is the l'th term of -37190, -37176, -37138, -37064, -36942, -36760? 2*l**3 - 37192 What is the o'th term of -319, -204, -89, 26? 115*o - 434 What is the s'th term of -627, -1092, -1581, -2106, -2679? -2*s**3 - 451*s - 174 What is the t'th term of 14228, 14225, 14224, 14225, 14228, 14233, 14240? t**2 - 6*t + 14233 What is the s'th term of -239, -476, -713, -950? -237*s - 2 What is the y'th term of -150, -555, -1218, -2139? -129*y**2 - 18*y - 3 What is the u'th term of 350, 348, 338, 320, 294, 260? -4*u**2 + 10*u + 344 What is the c'th term of -8548, -17187, -25826, -34465? -8639*c + 91 What is the p'th term of -420, -556, -756, -1008, -1300, -1620? 2*p**3 - 44*p**2 - 18*p - 360 What is the z'th term of 1042, 3189, 5334, 7477? -z**2 + 2150*z - 1107 What is the t'th term of 2701, 10599, 23691, 41977? 2597*t**2 + 107*t - 3 What is the u'th term of -25610, -25608, -25606, -25604? 2*u - 25612 What is the o'th term of -69, -1227, -4375, -10509, -20625, -35719, -56787? -166*o**3 + o**2 + o + 95 What is the v'th term of -12218, -12166, -12138, -12146, -12202, -12318? -2*v**3 + 66*v - 12282 What is the l'th term of -2598, -10256, -22974, -40758, -63614, -91548, -124566, -162674? -l**3 - 2524*l**2 - 79*l + 6 What is the t'th term of 6, 492, 1964, 4914, 9834? 82*
{ "pile_set_name": "DM Mathematics" }
llest value in 1, 22/7, -3/5, 78, 15, 4? 78 Which is the fourth smallest value? (a) 31 (b) -0.19 (c) 57 (d) 0.5 (e) 0.4 (f) 0 d What is the fourth biggest value in -3, -3/121, -12, -0.17778, -0.2? -3 What is the fourth biggest value in 1, -1/6, -0.216, 3/376, -2? -0.216 What is the fourth smallest value in -0.03782, -25, 8, 3, 0? 3 Which is the second smallest value? (a) 68112 (b) -1/3 (c) -0.1 c Which is the second biggest value? (a) 42 (b) -5 (c) -2/9 (d) 0.5 (e) 2 (f) -0.318 e What is the sixth smallest value in 3/5, 2, -2, -1.2079, 1.1, 0? 2 What is the smallest value in 766, 3/7, 5/6, -0.06308? -0.06308 What is the fourth biggest value in 0.2, -135/8, 7, 4, 2.2, -3/2? 0.2 Which is the fifth biggest value? (a) 3 (b) 5 (c) 1 (d) 9/4 (e) -5 (f) 423 c What is the biggest value in -4, 0.3, 294/2489, -2? 0.3 Which is the second biggest value? (a) -2/5 (b) 18.5 (c) 3582 (d) 21 d Which is the second biggest value? (a) -12 (b) 12 (c) 322 (d) 24 (e) -5 d What is the fifth smallest value in 0, 1/3, -0.5, -1/10, -2/23, -0.02? 0 What is the smallest value in 7/40, -0.8, -208? -208 What is the biggest value in -1/4, -0.035, 0, 0.3, -2/7, -0.4, -198.8? 0.3 Which is the third biggest value? (a) 29653 (b) -3 (c) 0 (d) 22 c Which is the second biggest value? (a) 19 (b) -5/4 (c) -54.5 (d) 4 d Which is the second smallest value? (a) 4 (b) -13.03 (c) -8 c What is the biggest value in 1, -531/2, -138? 1 Which is the second biggest value? (a) -14 (b) 5 (c) -0.1 (d) 2 (e) -0.22 (f) -10 (g) 404 b What is the fourth biggest value in 1699, -2, 1/5, -1.03? -2 What is the fifth biggest value in -8/11, -19/6, -0.2, 4, -1, 2/163? -1 Which is the seventh smallest value? (a) 2 (b) 2.013 (c) -4 (d) -0.3 (e) -5/2 (f) -1.21 (g) -2 b What is the third biggest value in -2/31, -2/7, 5/3, 0.4, 34, 3603? 5/3 What is the fourth biggest value in 4, 0.3, -2/7, -3, -2/17967, -8, -1/3? -2/7 What is the third biggest value in 52, 8541, -1/6? -1/6 Which is the biggest value? (a) -1 (b) -264/41 (c) -2/17 (d) 2 (e) -0.3 (f) -0.2 d Which is the fourth smallest value? (a) -1.4 (b) 0.3 (c) 336 (d) -3/454 (e) 2/7 b Which is the biggest value? (a) 4 (b) -5 (c) -7 (d) 1/346 (e) 9.5 (f) 0.2 e What is the fifth biggest value in -26, 2/17, 4, -304, -0.4, -2/3, 2/7? -2/3 Which is the sixth biggest value? (a) 5 (b) -4/7 (c) 2 (d) 0.09 (e) -33/7 (f) 173 (g) -0.2 b Which is the second smallest value? (a) 1.9 (b) 5 (c) 1142808 b What is the smallest value in -974, 0.4, -1/3, 45.32, -1/11? -974 What is the biggest value in 0, -4, -0.01, -1/4, -4.1417, -5? 0 Which is the smallest value? (a) 27.7 (b) -4/3 (c) 6/11 (d) -3/5 (e) -0.5 (f) -11 f What is the third smallest value in -7, -59/2, -0.12624? -0.12624 What is the fourth biggest value in -0.16, 17, 0.384, 22? -0.16 Which is the fourth biggest value? (a) 0.004 (b) 1.2 (c) -0.7 (d) 0.05 c What is the biggest value in 2/3, -113, 11, -0.306? 11 Which is the third smallest value? (a) 2561 (b) 0.3 (c) -0.071 a What is the third biggest value in 11272/427, 5, -1.1? -1.1 What is the third biggest value in -846, -0.7, 788? -846 Which is the smallest value? (a) -4.4449 (b) 0.04 (c) -1.52 a What is the third smallest value in 12366, 23, 11, -4/7? 23 Which is the second biggest value? (a) 13345/6 (b) -15.16 (c) -0.4 (d) 2/9 d What is the third biggest value in 0.1781, 17193, 3? 0.1781 Which is the biggest value? (a) -14.8626782 (b) -1/2 (c) -1 b What is the third biggest value in 2, -323, 2/181, -3? -3 Which is the biggest value? (a) 9 (b) -156 (c) 6/113 a What is the second smallest value in -1/7, -6, -0.5713, 277? -0.5713 What is the third smallest value in 416/5, 894, 14, -4? 416/5 Which is the smallest value? (a) 0.4 (b) 0.04 (c) 4/5 (d) 106 (e) -1250 e Which is the smallest value? (a) 0.5 (b) 34498 (c) 2/13 (d) 12 (e) 7 c Which is the second biggest value? (a) -7.66 (b) -0.046 (c) -3 (d) 60/7 b Which is the second smallest value? (a) -4 (b) -42.3 (c) -1/11 (d) 0.063 (e) -3/8 (f) 10 a Which is the fourth biggest value? (a) 3/67 (b) 0.46 (c) -2 (d) 5 (e) -1 (f) 2249 a Which is the fourth smallest value? (a) -1/8 (b) -4 (c) -22.6 (d) -2/285 (e) -6/11 (f) 2/7 (g) -0.4 g What is the third smallest value in 4, -504/19, 14476? 14476 Which is the second biggest value? (a) -8/23 (b) -2/89 (c) -119 (d) 0.03 b What is the third smallest value in -10, -2/5, 2, 0.1, -6, -0.639? -0.639 What is the seventh biggest value in -3/5, 0, -5, 13875, -3, -0.5, -3/2? -5 What is the third biggest value in -80, 5/3643, 1/3? -80 Which is the second biggest value? (a) -0.072 (b) -911 (c) 1.8 (d) 2/11 d What is the third biggest value in 4, 570/19471, 1, -0.12? 570/19471 What is the third biggest value in 460/237, -0.27, 1/5, -5? -0.27 Which is the fourth biggest value? (a) 1115 (b) -2/3 (c) -100/3 (d) 2/11 c Which is the biggest value? (a) 2 (b) -1/2 (c) 2/7 (d) -19/8 (e) 612 (f) 82 e Which is the second biggest value? (a) 527 (b) 0.2 (c) 1 (d) -4 (e) 0.1 (f) 0.009 c What is the fourth biggest value in -3, 1/4, -0.4, 1/3, -0.5, -452? -0.5 What is the fourth smallest value in 1, 15, 1.2, -8333? 15 Which is the third biggest value? (a) 9 (b) -1 (c) -3/8 (d) -7 (e) -2/4251 c What is the second smallest value in 4, -4, -12, 0.24, -1155, -5? -12 Which is the second biggest value? (a) -5/6 (b) 0.3 (c) 0 (d) -0.31 (e) -881 (f) 2/9 f What is the smallest value in 2, 2/9, -23502530? -23502530 Which is the biggest value? (a) 817/30 (b) -0.1 (c) 3/5 (d) -1/6 (e) -4 a What is the seventh biggest value in -0.4, -2/7, -0.3, 1274, 4, -1, -0.5? -1 Which is the biggest value? (a) 2/7 (b) 0.1 (c) 101.1 (d) 123 d Which is the fourth biggest value? (a) -2 (b) -5 (c) -0.5 (d) -72 (e) -1216 (f) 0.5 b What is the biggest value in 6, 72.8, -12/19, -2/15, -0.4? 72.8 What is the biggest value in -104, 2/5, 0.5, -82, -2/157, -0.3, 0? 0.5 Which is the third smallest value? (a) -2 (b) 11/7 (c) -4/33 (d) -1 (e) 130.7 c Which is the third smallest value? (a) -1 (b) -10/3 (c) -14/605 (d) 4 c What is the fifth biggest value in -51, -1/2, -1, 11/1801, 3? -51 Which is the third biggest value? (a) 0.42123 (b) 2 (c) -3 (d) 2/5 (e) -21 d Which is the second smallest value? (a) 0.2 (b) -92/213 (c) 2 (d) 5/16 a Which is the second smallest value? (a) 100 (b) 0.4 (c) 1/4 (d) -10 (e) -1137/4 (f) -1/2 d What is the smallest value in -0.4, 1264, -5, 0.05, -9? -9 What is the biggest value in -1/2, -1721, 1.5, 2/23, 2? 2 Which is the fourth biggest value? (a) 16 (b) 0.04 (c) -3.8 (d) 0.03 (e) -1/6 (f) -1 e Which is the second smallest value? (a) 2.134 (b) 1/12 (c) 1 (d) 0.3 (e) 0 (f) 3/7 (g) 1.7 b Which is the second smallest value? (a) 74 (b) 7806 (c) -0.1 a Which is the second biggest value? (a) 0.08 (b) -1/337 (c) 3777 a Which is the fourth smallest value? (a) -0.5 (b) 0.4 (c) 7843 (d) -17 (e) 0.1 b Which is the second biggest value? (a) 4 (b) 5/6 (c) -2 (d) 52424 (e) -0.5 (f) -4 a What is the third biggest value in -933, -0.4, -524, 1? -524 Which is the smallest value? (a) 25.22 (b) -0.1178 (c) 0.2 b What is the third biggest value in -4/277, -3/8, -964? -964 What is the fourth smallest value in -0.2, 1/538, 22/43, 5? 5 What is the second biggest value in -1/32, 0.33956494, 2? 0.33956494 What is the third biggest value in 562, -363/7, 0, 0.03? 0 What is the second smallest value in -2, 0.3, 2/33, 1177, 1/60, 8? 1/60 What is the third smallest value in 4, -72, 33/13, 0.4? 33/13 Which is the second smallest value? (a) -1041304 (b) 2/5 (c) 22 b What is the third biggest value in -15, 0.1, -0.113, 8/31, -1, -1/5, -3? -0.113 Which is the third smallest value? (a) 0.3 (b) 117/11 (c) -0.1 (d) -2/15 (e) -1/39 (f) 1/20 e Which is the second biggest value? (a) -2/21 (b) 3 (c) -290/9 (d) 44 (e) 0 (f) 0.22 (g) 0.3 b Which is the fifth smallest value? (a) 4/3 (b) -5/3 (c) 82 (d) -1/4 (e) -1 (f) -37.202 a What is the third biggest value in -7/2, 0.5, -1/6, -2/13, -1021, -0.2, -2/7? -1/6 Which is the fourth biggest value? (a) -1.32 (b) 0 (c) -2 (d) -2638 (e) 0.3 c W
{ "pile_set_name": "DM Mathematics" }
- 29676 + 5322 for x. 27 Solve 33*j - 625843 + 626866 = 0 for j. -31 Solve 5*a + 1195*a + 9927 = 98405 - 3278 for a. 71 Solve -13*b - 71*b = -271*b - 313*b + 16000 for b. 32 Solve 3905*q - 76236 = -310*q - 313*q + 14324 for q. 20 Solve -968*i + 597 = -251*i - 26255 - 11866 for i. 54 Solve 4391*x + 155400 = -3009*x for x. -21 Solve 231*x + 11410 = -4*x - 91*x for x. -35 Solve -139*j - 81*j - 64*j = 0 for j. 0 Solve 0 = -624*w - 1094*w + 115637 + 55800 - 58049 for w. 66 Solve -843*a + 18*a = -47694 - 981 for a. 59 Solve 1040*l - 999 = 929*l for l. 9 Solve -54*y = 76*y + 100*y + 2530 for y. -11 Solve 102*a + 15311 = 263*a + 90*a for a. 61 Solve -125*g - 1011 + 691 = 805 for g. -9 Solve 384*c - 3390 + 398 = 464 for c. 9 Solve 0 = 35*a - 141*a + 49335 - 54423 for a. -48 Solve -108*z = 75*z - 11141 + 9860 for z. 7 Solve -2152*n = 57882 - 427 - 22134 + 83039 for n. -55 Solve -26*i + 4369 = 3121 for i. 48 Solve -6004 + 133829 = 5113*z for z. 25 Solve -31587 = 2954*q + 54079 for q. -29 Solve 3689*x + 47040 = -144788 for x. -52 Solve -9285*h + 9523*h + 3808 = 0 for h. -16 Solve 112*m = -3801 + 6937 for m. 28 Solve -5854*x + 150220 + 322264 = 1198*x for x. 67 Solve -85 = 381*b - 205 + 33 - 294 for b. 1 Solve 109*t + 12768 = -563*t for t. -19 Solve 30*y - 29*y = 9 - 18 for y. -9 Solve 41*z = -6*z + 3438 + 310 - 740 for z. 64 Solve 848*j - 801*j + 2021 = 0 for j. -43 Solve -273242 = -14795*n + 992216 - 81858 for n. 80 Solve 2989*a - 70760 = -288957 for a. -73 Solve 0 = 266*j + 2773*j + 585*j + 177576 for j. -49 Solve -12653*m + 220308 = -880503 for m. 87 Solve 5917 - 11075 = 541*a + 9682 + 4636 for a. -36 Solve 7*w + 1175 - 135 = -123*w for w. -8 Solve 0 = 3337833*w - 3337293*w - 38880 for w. 72 Solve 422*j = -1853*j + 51040 + 24035 for j. 33 Solve 4*k + 10*k = -6*k + 140 for k. 7 Solve 146*f = 68*f + 75*f + 6 for f. 2 Solve -9329*l = -9589*l - 22100 for l. -85 Solve 87*v + 585*v + 862 = -5858 for v. -10 Solve -1117*f + 545*f - 521*f = -26775 - 93455 for f. 110 Solve 773*n = 812*n - 2513 + 875 for n. 42 Solve 210*a + 22400 = -344*a + 904*a for a. 64 Solve -5577*s + 5589*s + 192 = 0 for s. -16 Solve 0 = 830*x + 39527 + 6953 for x. -56 Solve 236*h + 238*h + 6432 = 340*h for h. -48 Solve 945*i + 1697 + 4412 - 3966 = -6362 for i. -9 Solve -107*q - 25437856 + 25436786 = 0 for q. -10 Solve -780*z - 274*z + 134119 = 303*z + 7918 for z. 93 Solve 21770 - 58030 = -1036*w for w. 35 Solve 750*u - 32363 = -324*u + 7375 for u. 37 Solve -20728*m - 305943 - 668273 = 0 for m. -47 Solve 17*m - 101*m + 1467 = 79*m for m. 9 Solve 954*m + 90315 = 2474*m + 1825*m for m. 27 Solve 2180*y - 37067 + 154787 = 0 for y. -54 Solve -135470*l + 5920 = -134702*l + 58144 for l. -68 Solve -2067110*r = -2067039*r + 2769 for r. -39 Solve -20725 = -500*x + 5775 for x. 53 Solve 116*s = -693 + 2897 for s. 19 Solve -32916 + 8140 = -1556*o + 75485 - 5345 for o. 61 Solve 1186*a - 7146*a + 33479 + 29308 = -20653 for a. 14 Solve -96*p + 111*p = -191*p + 5974 for p. 29 Solve 15*q = -115*q - 2080 for q. -16 Solve 914*i + 2702 = 52920 - 1918 + 9282 for i. 63 Solve 10209*v - 3892*v - 537306 = -32346*v + 738573 for v. 33 Solve -439*j - 73*j + 260 + 252 = 0 for j. 1 Solve -5879*m - 187229 = 4560*m + 146819 for m. -32 Solve -3920 = -291*v + 3358 + 5235 for v. 43 Solve 6710*f + 202776 - 826806 = 0 for f. 93 Solve 0 = 1242*d - 15998 - 18778 for d. 28 Solve 202994 = 3232*d - 133134 for d. 104 Solve -39*q - 908 - 338 = -115 for q. -29 Solve -268*k + 1229*k - 83583 = -666*k - 632*k for k. 37 Solve -1359 = -101*d - 955 for d. 4 Solve -9*x + 3416 - 3806 = 6*x for x. -26 Solve -20824 = 376*w - 102*w - 0*w for w. -76 Solve -1766*c = 20564 + 39480 for c. -34 Solve 43139*w + 6112 = 42948*w for w. -32 Solve 343*q - 13992 - 13975 + 3917 = -5185 for q. 55 Solve 152*i = 923 + 5424 - 1461 + 4842 for i. 64 Solve 509619 = -19193*b + 255326 + 2047831 + 317692 for b. 110 Solve 0 = 3356*v - 1625*v - 1678*v - 636 for v. 12 Solve 3314*b - 166476 = -27288 for b. 42 Solve 0 = -38*r + 75*r + 696 + 599 for r. -35 Solve -6275*j + 305 = -6336*j for j. -5 Solve 0 = -1091*m - 1076*m + 2287*m - 3000 for m. 25 Solve 122*l - 525*l = -137*l - 184*l - 3854 for l. 47 Solve 5222*r = 5325*r - 7416 for r. 72 Solve -1754275 = 39*y - 1755172 for y. 23 Solve 0 = 129*v + 78*v + 204*v + 7398 for v. -18 Solve -8*p + 19049 = 47*p + 16244 for p. 51 Solve -13493 = 1018*w + 7885 for w. -21 Solve 562*v + 19401 - 46911 = 33186 for v. 108 Solve 25846*n + 1190 = 25776*n for n. -17 Solve 3063*s - 13735 = -753*s - 3257*s + 21630 for s. 5 Solve -47*a + 1131 + 667 = 153 - 611 for a. 48 Solve 10*h = -1160*h - 493*h + 55742 + 57342 for h. 68 Solve 7*j + 64 - 12 = -81 for j. -19 Solve -174302*k + 174359*k = -1425 for k. -25 Solve -495*s - 16102 = 562*s - 61752 - 11428 for s. 54 Solve -373*i - 60 = 384*i - 654*i + 146 for i. -2 Solve 245*t = 7972 + 4212 + 1781 for t. 57 Solve 0 = -1226*m - 5364 - 3218 for m. -7 Solve -84*a + 1667 - 855 = -8*a - 1468 for a. 30 Solve 0 = 211*i + 50839 - 47041 for i. -18 Solve 153*d + 2109 + 492 = 0 for d. -17 Solve -28*z - 11129321 + 11126997 = 0 for z. -83 Solve 4537*k - 3500 = 4467*k for k. 50 Solve 0 = 80*n - 2210 + 1212 - 1562 for n. 32 Solve -1194*n - 379*n = -25168 for n. 16 Solve 12076*j + 1432*j - 810480 = 0 for j. 60 Solve 0 = -2201336*j + 2201120*j + 17496 for j. 81 Solve 171639*m - 171634*m + 270 + 110 = 0 for m. -76 Solve 11678 + 12968 = -536*d - 3226 for d. -52 Solve -360*r + 1244*r + 1581*r = -224315 for r. -91 Solve 210*k + 6547 = 77*k + 4020 for k. -19 Solve 4983*g - 5213*g - 6210 = 0 for g. -27 Solve -219*a - 48*a + 2387 = -384*a + 6365 for a. 34 Solve -499*k + 625*k = 5922 for k. 47 Solve -4857*f + 3239 = -4778*f for f. 41 Solve 2011*z + 4316*z - 18981 = 0 for z. 3 Solve 163*b = -143*b - 309*b - 5535 for b. -9 Solve 13*f + 346 = 104*f + 653 + 421 for f. -8 Solve -237554 = -2393*a + 8187*a for a. -41 Solve 150*m = -258*m + 872715 - 914739 for m. -103 Solve -30004 = 1123*y + 74*y + 20270 for y. -42 Solve -2536721*y + 3280 = -2536311*y for y. 8 Solve 1348*r + 5459 = -26893 for r. -24 Solve 48*v + 54*v + 103*v = 36*v + 676 for v. 4 Solve 172*n - 6519 - 2296 + 1140 - 2473 = 0 for n. 59 Solve -112*j - 102*j + 43456 = -278*j - 384*j for j. -97 Solve 2199 = -69*h - 704 + 488 for h. -35 Solve 2717 = 254*u + 685 for u. 8 Solve -74*o + 112*o = -492 - 724 for o. -32 Solve 76256*a = 75759*a - 2725 - 25107 for a. -56 Solve -13803 - 11129 = -403*s - 6797 for s. 45 Solve -4112*i - 841 = -3975*i - 5636 for i. 35 Solve -18*p + 144 = -54*p + 288 + 1656 for p. 50 Solve -26*q - 7*q - 1512 = -9*q for q. -63 Solve 10*y = -49*y - 5 + 654 for y. 11 Solve -25*u - 2642 + 928 + 1164 = 0 for u. -22 Solve 7268*i = 6937*i + 17543 for i. 53 Solve -1332 = -24957*l + 25179*l for l. -6 Solve 5572 = -13*p + 212*p for p. 28 Solve 1012 = -113*k + 329*k + 7492 for k. -30 Solve 21901*c - 1096173 = 8368*c for c. 81 Solve -271700 = 2686*a - 417*a - 31186 for a. -106 Solve 243*b + 1413 = 23526 for b. 91 Solve 211602 = -6577*n + 8760*n - 61273 for n. 125 Solve 456*c - 1265*c - 47731 = 0 for c. -59 Solve -4185 = -102*r - 6021 for r. -18 Solve -1822*j + 2670 - 2826 + 20198 = 0 for j. 11 Solve 1699*b - 4571*b + 1936*b - 62712 = 0 for b. -67 Solve -24899 = 1099*c + 48734 for c. -67 Solve 401*l = 351*l + 99*l - 866 - 359 for l. 25 Solve 594*f - 2281 - 2060 = 411 for f. 8 Solve 3684 - 924 = 138*p for p. 20 Solve -628 = 1134*v + 506 for v. -1 Solve 657836 = -4157*l + 409*l - 1923*l for l. -116 Solve -507874 = 190*j - 497994 for j. -52 Solve 1912*g + 74283 = 8665*g for g. 11 Solve -19*m - 44*m + 1056 = -1716 for m. 44 Solve 0 = -1779*v - 1202 + 1131 + 3629 for v. 2 Solve 122210 + 226128 = 22249*s + 81350 for s. 12 Solve -222*y - 262 + 3391 - 9311 = 16906 for y. -104 Solve -204319*i + 9128 = -203993*i for i. 28 Solve 591 = -209*q - 8455 + 1731 for q. -35 Solve -35*x = 407*x - 18*x - 18*x - 33292 for x. 82 Solve 0 = 24939*j - 27487*j + 183456 for j. 72 Solve 222*s + 36*s + 9945 = -6421 - 7370 for s. -92 Solve -235*p = 43*p + 280*p + 35154 for p. -63 Solve 12 - 32 = 2872*m - 52*m - 20 for m. 0 Solve -1568 = 127467*m - 127435*m for m. -49 Solve -1225*y + 615*y = -611*y + 39 for y. 39 Solve 170*z + 31059 = 163*z - 350*z for z. -87 Solve -313*d - 217*d = -3510 + 28420 f
{ "pile_set_name": "DM Mathematics" }
*v Let v be 7/4 - 1/(-4). Let a = 18 + -16. Differentiate 1 - f**3 + v*f**a - 2*f**2 with respect to f. -3*f**2 What is the second derivative of 21*y**5 - 221*y - 51*y**5 + 172*y wrt y? -600*y**3 Find the first derivative of 5 + 28*i - 21*i**4 - 28*i + 40 wrt i. -84*i**3 What is the third derivative of -187*u**4 + 2 - 178*u**4 + 3*u**2 + 427*u**4 wrt u? 1488*u Let f = 2 - -3. Suppose i - 8 + f = 0. What is the third derivative of 2*u**2 + 0*u**3 - 3*u**2 + u**i wrt u? 6 Let o(b) = -22*b**5 + 5*b - 6. Let n(v) = -65*v**5 + 14*v - 17. Let l(j) = 6*n(j) - 17*o(j). Find the second derivative of l(y) wrt y. -320*y**3 Let a be (1 + (-9)/3)/(-2). What is the derivative of -a + 1 + 5 + 4*g**2 wrt g? 8*g Let w(n) = -n**4 + n**2 - 1. Let z(a) = 15*a**4 + 6*a**2 - 15*a - 6. Let d(y) = 6*w(y) - z(y). Find the second derivative of d(t) wrt t. -252*t**2 Let c(y) be the second derivative of y**5/120 - y**4/12 - 2*y**3/3 + 2*y. Let w(s) be the second derivative of c(s). Differentiate w(x) wrt x. 1 Let o be (-2 - -2)/(1 - 0). What is the second derivative of o*l**5 + 0*l**5 + 2*l**5 + 3*l wrt l? 40*l**3 What is the third derivative of 83 - 25*p**6 - 9*p**6 + 23*p**2 - 84 wrt p? -4080*p**3 Let d be -12*(-3 - 20/(-8)). Let h(k) be the first derivative of 0*k - 1/6*k**d + 0*k**5 + 0*k**4 + k**2 - 2 + 0*k**3. Find the second derivative of h(t) wrt t. -20*t**3 Suppose o - 8 = -1. What is the third derivative of -o*t**3 + t**2 + 10*t**3 - 3*t**2 wrt t? 18 Let q(p) = 7*p**4 - 8*p**2 - 2*p + 2. Let z(f) = 7*f**4 - 8*f**2 - 3*f + 3. Let u(x) = 3*q(x) - 2*z(x). What is the third derivative of u(j) wrt j? 168*j Let c(w) be the first derivative of 36*w**5/5 + 5*w**3 - 5. What is the third derivative of c(y) wrt y? 864*y Suppose 3*u - 8*u = -60. Let d be 9/(-6)*u/(-9). What is the second derivative of -4*r + 2*r**5 + 0*r**5 + d*r wrt r? 40*r**3 What is the third derivative of -13*r**2 + 4*r**4 + 3*r**4 + 4*r**4 + r**2 wrt r? 264*r Let v(p) be the first derivative of 0*p**6 + 0*p**5 + 0*p**4 + 0*p + 0*p**2 - 8/7*p**7 + p**3 + 5. Find the third derivative of v(a) wrt a. -960*a**3 Let k(v) be the first derivative of -v**7/35 + 7*v**3/6 - v**2 + 3. Let j(c) be the second derivative of k(c). Differentiate j(z) wrt z. -24*z**3 Let q = -8 - -8. Let o(u) be the first derivative of -u**2 + 2 - u + q - 2*u. Find the first derivative of o(a) wrt a. -2 Let v(q) be the third derivative of -4*q**2 + 0*q**4 - 5/6*q**3 + 1/20*q**5 + 0 + 0*q. Differentiate v(b) with respect to b. 6*b What is the second derivative of 35*g - 16*g - 10*g - 11*g**4 wrt g? -132*g**2 Let q(r) be the first derivative of -17*r**2/2 + 8*r + 8. Find the first derivative of q(l) wrt l. -17 Suppose 3 = 5*j - 7. Suppose -3*t = -3, -4*r + t + j*t = -9. Find the third derivative of -n**2 - n**2 + 3*n**3 - 2*n**r - 3*n**2 wrt n. 6 Let s be ((-12)/(-27))/((-10)/(-45)). What is the second derivative of -3*f + 5*f**2 - 3*f**4 - f - 5*f**s wrt f? -36*f**2 Differentiate 3*u + 0*u + 3 + 3*u - 4*u wrt u. 2 Let x(u) = -u**2 + 10*u - 6. Let f be x(9). Find the second derivative of -2*c**4 - f*c + 3*c - 3*c wrt c. -24*c**2 Let t(p) be the second derivative of p**9/1008 + p**6/180 + p**3/2 + 2*p. Let y(s) be the second derivative of t(s). Find the third derivative of y(j) wrt j. 180*j**2 Suppose i = 5*c - 14, -14 = -3*c - c - 2*i. Let j(a) = -4*a. Let l(q) = 2 - 3 + 0. Let h(m) = c*l(m) + j(m). Find the first derivative of h(u) wrt u. -4 Let o(a) be the first derivative of -35*a**4/4 + 10*a**3/3 - 3*a**2/2 + 14. What is the third derivative of o(u) wrt u? -210 What is the third derivative of -n**2 + 17*n**6 - 11*n**6 + 10*n**2 wrt n? 720*n**3 Let k(x) be the first derivative of -x**6/6 + 2*x**3/3 + 2. Find the third derivative of k(s) wrt s. -60*s**2 Let b(i) be the second derivative of -5*i**5/4 - 2*i**2 + 6*i. Differentiate b(o) with respect to o. -75*o**2 Let j = -9 + 9. What is the second derivative of -2*d + j*d**2 - 6*d**2 + d**2 + 0*d**2 wrt d? -10 Suppose y = -3 + 7. Let j be -1*1/((-2)/4). Find the first derivative of -3*v**2 + y*v**j + v**2 + 1 wrt v. 4*v Let g be (-18)/(-10) + (-2)/(-10). Find the second derivative of 0*h**g + 5*h**4 - 2*h + 0*h**2 + 0*h wrt h. 60*h**2 Let w(q) be the first derivative of 13*q**5/5 - 3*q**2/2 - 14. Find the second derivative of w(p) wrt p. 156*p**2 Suppose -b + 4 = b. What is the third derivative of 5*u**b - 7*u**2 - 4*u**3 + 3*u**3 wrt u? -6 Suppose 6*u = 5*u + 6. What is the second derivative of -i**4 + 0*i - u*i - 3*i**4 + 4*i wrt i? -48*i**2 Differentiate 10 - 7 - 5 + 4*t wrt t. 4 Let f(a) = -47*a**3 + 11*a**2 + 39*a. Let i(w) = 23*w**3 - 6*w**2 - 20*w. Let t(l) = -6*f(l) - 11*i(l). Find the second derivative of t(p) wrt p. 174*p What is the first derivative of 27*o - 43 + 46 - 6*o wrt o? 21 Let p(h) be the third derivative of h**8/56 + h**5/12 - 5*h**2. What is the third derivative of p(i) wrt i? 360*i**2 Let h(z) = -z**5 - 3*z**4 + 2*z**2 - 3. Let j(p) = 4*p**4 - 2*p**2 + 4. Let q(u) = -4*h(u) - 3*j(u). What is the third derivative of q(x) wrt x? 240*x**2 Let f(d) = -33*d**2 - 9*d + 20. Let k(b) = 8*b**2 + 2*b - 5. Let t(y) = 2*f(y) + 9*k(y). Find the first derivative of t(i) wrt i. 12*i Let a(y) = 5*y**2 - 3*y - 12. Let t(h) = 24*h**2 - 16*h - 60. Let r(v) = 16*a(v) - 3*t(v). Find the first derivative of r(c) wrt c. 16*c Let d(h) be the second derivative of -12*h**3 + 3*h**2 - 43*h. What is the first derivative of d(m) wrt m? -72 Let m = 12 - 11. Let h(u) = 6*u**3 - 3*u - 5. Let v(f) = f + 1. Let q(l) = m*h(l) + 5*v(l). What is the second derivative of q(y) wrt y? 36*y Let x(u) = 9*u + 1. Let w be x(1). Find the second derivative of w*s**2 - 3*s**3 - 10*s**2 + 3*s wrt s. -18*s Let m(l) be the second derivative of -2*l**4/3 - 3*l**2 + 8*l. What is the derivative of m(h) wrt h? -16*h What is the first derivative of -127 + 198 - 122 + 38*n**2 wrt n? 76*n Suppose -3*x - 35 = 2*x. Let j be (-19)/(-7) - 2/x. Find the second derivative of -t**j + 0*t**3 + 5*t - 4*t wrt t. -6*t What is the third derivative of -6*s**5 + 2*s**5 - 7*s**5 + 2*s**2 - s**2 wrt s? -660*s**2 Let o(n) be the third derivative of 0*n**3 + 1/3*n**4 + 0 + 1/15*n**5 + 6*n**2 + 0*n. Find the second derivative of o(k) wrt k. 8 Find the first derivative of 36 + 223*s + 20*s**3 - 223*s wrt s. 60*s**2 Let w(f) be the third derivative of 0 + 0*f**3 + 0*f**4 + 9*f**2 - 3/40*f**6 - 1/6*f**5 + 0*f. Find the third derivative of w(v) wrt v. -54 Let h(c) = -7*c**4 - 6 + 6*c - 7 + 1 + 6*c**2 - 3. Let l(y) = -7*y**4 + 5*y**2 + 5*y - 14. Let j(n) = -5*h(n) + 6*l(n). Differentiate j(r) wrt r. -28*r**3 Let q(i) be the third derivative of i**8/1680 + i**4/12 - i**3/3 - 2*i**2. Let z(a) be the first derivative of q(a). Differentiate z(d) with respect to d. 4*d**3 Find the third derivative of 148 - 148 - 25*w**5 - 5*w**2 wrt w. -1500*w**2 Let z(o) be the third derivative of -23*o**7/210 - o**4/3 - 23*o**2. Find the second derivative of z(r) wrt r. -276*r**2 Let u(b) be the second derivative of 5*b**4/12 - 21*b**2/2 - 16*b. Differentiate u(v) with respect to v. 10*v Let y(r) = -r - 2. Let b be y(-5). What is the second derivative of -t**b + 5*t - 4*t + t wrt t? -6*t Suppose 10*q = 5*q + 20. What is the second derivative of q*r**4 + 4*r + 3 - 3 + r wrt r? 48*r**2 Let q(a) be the second derivative of -2/3*a**3 + 0 + 3/2*a**2 + 3*a. What is the derivative of q(s) wrt s? -4 Let k(b) be the third derivative of -17*b**6/40 - b**5/60 - 5*b**3/6 - 67*b**2. What is the third derivative of k(z) wrt z? -306 Let j(h) = -h**3 + h**2 + 6*h + 4. Let m be j(3). Find the second derivative of 9*v**3 - 8*v**3 + m*v - 2*v wrt v. 6*v Let u be (-10)/15 + 35/3. Let v = 16 - u. What is the first derivative of v*z - 3*z + 0*z - 1 wrt z? 2 Let p(m) be the first derivative of 2/3*m**3 + 0*m**2 + 3 + m. What is the derivative of p(j) wrt j? 4*j Let y = 5 - 2. What is the derivative of -6*n**3 + 9*n**y - 3 + 1 + n**3 wrt n? 12*n**2 Let j(p) be the third derivative of 0*p**7 + 0 + 0*p**5 + 1/84*p**8 + 0*p + 0*p**6 - p**2 + 1/6*p**4 + 0*p**3. What is the second derivative of j(b) wrt b? 80*b**3 Find the first derivative of 12 + 18 - 24*k**2 - 10 - 3*k**2 wrt k. -54*k Let k = 0 + 4. Suppose 0 = 4*r + r - 10. What is the third derivative of g**5 + 4*g**2 + r*g**2 - k*g
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of f? 2 Let k = 130 - 124. Suppose -5 + 1 = z. What is the units digit of z + 20/k*3? 6 Suppose -6*t - 3 = -5*t. Let c be (-4)/12*t*-20. Let s = c - -93. What is the tens digit of s? 7 Let c = 8 - -22. Suppose -38*s = -43*s. Suppose -2*d + 3*p = d - 60, s = 2*d + 3*p - c. What is the tens digit of d? 1 Let a = 6336 + -2712. What is the hundreds digit of a? 6 Suppose 4*t - 38 = 2*l, l + 15 = -2*l. Suppose 0 = t*j - 118 - 218. What is the tens digit of j? 4 Let l(i) = -i - 1. Let a be l(-1). Let d(w) = w**3 + 1. Let z be d(a). Let y(s) = 8*s**2. What is the units digit of y(z)? 8 Suppose 5*o = 5*a + 40, -4*o + a + a + 26 = 0. Suppose -r = o*p - 31, 3*p + r - 20 = -r. What is the tens digit of (-18*p)/4*-1? 2 Let n = -696 + 414. Let r = -84 - n. What is the tens digit of r? 9 Let t(p) = p + 4. Let x = -9 + 47. Suppose -3*f = 2*i - 5, -3*i + f = 14 - x. What is the tens digit of t(i)? 1 Let n = -570 - -2147. What is the tens digit of n? 7 Let o be 3 + -1 + (2 - 2). What is the units digit of (4 + -6 - o) + 47? 3 Let r = 764 + -54. What is the hundreds digit of r? 7 Let y = 6 + 0. Suppose -2*c = -0*c - y. Suppose 9 = m - c. What is the units digit of m? 2 Let a be ((-10)/(-3))/(8/132). What is the tens digit of a*(-1)/2*2/(-1)? 5 Let c(w) = -3*w + 7. Let t(x) = -30*x + 69. Let h(z) = 21*c(z) - 2*t(z). Let r be h(-3). Suppose -r = 2*y - 4*y. What is the units digit of y? 9 Suppose 0*j = 3*j + 4*b + 78, 3 = b. Let t be j/(-6)*(-74)/(-5). Suppose 2 = -2*r + t. What is the units digit of r? 6 What is the tens digit of -2*(-1 + 176)*-2? 0 Let j(w) = -3*w - 19. Let h(g) = g - 1. Let b(q) = -4*h(q) - j(q). Suppose -2*m = -c - 32 + 3, -3*c - 48 = -3*m. What is the tens digit of b(m)? 1 Let j = -45 + 13. Let w(o) = 11*o + 3. Let h be w(-2). Let x = h - j. What is the units digit of x? 3 Suppose -3*n - 4*q + 128 = -20, 52 = n + 2*q. What is the hundreds digit of (-1)/(n/(-5024)) + (-2)/11? 1 Suppose 5*z - 9 = 11. Suppose -2*t - z*t = -48. What is the units digit of t? 8 Suppose 0 = 4*r - 14 - 2. What is the units digit of 6 + r + -4 + 0? 6 Let n(f) = 2*f + 7. Let v be n(-5). What is the tens digit of 6 + -2 - (v - 32)? 3 Suppose -4*r + 3*l + 7 = 3, 0 = -3*r - 3*l + 24. Suppose -9 = -i + 3*a, -2*i = -4*a - 10 - r. What is the units digit of (i/6)/((-3)/(-6))? 1 Let w(r) be the third derivative of 3*r**2 + 1/2*r**3 + 0 + 0*r - 1/12*r**4. What is the units digit of w(-9)? 1 Let n be 4/1 - -3 - 2. Suppose 0*u = -5*h + u + n, 4*u - 18 = h. Suppose k = -h*k + 114. What is the tens digit of k? 3 Let h be 616/(-99) + (-4)/(-18). What is the tens digit of ((-54)/8)/(h/80)? 9 Suppose -5*c = 20, 4*c - 2 = -z - 16. Suppose 2*g + z*p = p - 1, -4*p - 1 = 5*g. What is the units digit of 13 - 6*g/(-2)? 0 What is the hundreds digit of (1/2)/(((-14)/(-2))/8666)? 6 Let r = -1236 - -3405. What is the units digit of r? 9 Suppose -26*k = -28*k + 1228. What is the tens digit of k? 1 What is the tens digit of (-26610)/(-42) + 24/(-42)? 3 Let i be (-3 - 1/(2/(-14))) + -1. Suppose -6*q = i*j - 2*q - 294, 2*q = j - 88. What is the tens digit of j? 9 Let k = 73 + -67. Suppose 2*o = -k + 18. What is the units digit of o? 6 Suppose -u - 1706 = -n - 2*n, n + 4*u = 573. Let c = n - 248. What is the hundreds digit of c? 3 Let p be (-45)/(-12) - (-3)/(-4). Suppose -3*n - 2*i + p = 1, -2*n + 4*i = -28. Suppose -3*w - h = -75, n*w - 5*h + 9 = 109. What is the units digit of w? 5 Suppose 4*n - 9554 = 18*k - 16*k, 4*n = 5*k + 9569. What is the hundreds digit of n? 3 Let i(s) = -2*s**3 + 20*s**2 + 13*s + 5. Let b be i(9). Let t = b - 63. What is the hundreds digit of t? 2 Suppose 0*m - 3*m = -9. Let b = 34 + 12. Suppose m*r - b = -10. What is the units digit of r? 2 Suppose -3*l + 2*h + 1162 = 0, -30 = -2*l - 5*h + 732. What is the tens digit of l? 8 Suppose -11*y = -15*y + 8. Suppose 0 = -3*o + y*l + 190, l + 3*l = 3*o - 188. What is the tens digit of o? 6 Suppose -3 - 1 = 2*r, 4742 = 4*w - 3*r. What is the tens digit of w? 8 Suppose 120 = -3*h - 657. Let d = -155 - h. What is the tens digit of d? 0 Suppose 1382 + 1228 = 10*u. What is the hundreds digit of u? 2 Let y(z) = -20*z**2 - z - 1. Let h be y(-1). Suppose -3*w - 4*q - 9 = -q, -2*q - 10 = 4*w. What is the units digit of (-3)/(w*(-2)/h)? 5 Suppose -5*a = -2*a - 111. Suppose 4*k - 4*g + 7 = -a, 7 = -k + 2*g. What is the tens digit of (96/(-30))/(3/k)? 1 Let y(a) = -10*a - 3*a - 7 - 17 + 0*a. What is the hundreds digit of y(-12)? 1 Suppose -57*f - 12206 + 48401 = 0. What is the tens digit of f? 3 Let z = -14 - -17. Let r(p) = -p - p**2 + 3 + 3*p**z - 4*p**3 - 4. What is the units digit of r(-3)? 0 Let c = 5 + -6. Let s be 1 - 4 - (c + 0). What is the tens digit of ((-65)/(-10))/((-1)/s)? 1 Let f = 13 - 19. Let t = -4 - f. Suppose 5*g + t*m = 134, 8 = 2*m + 2*m. What is the units digit of g? 6 Let o(m) = -34*m**3 + 5*m**2 + 8*m + 9. Let g be o(-4). Suppose 2*p = -5*p + g. What is the tens digit of p? 1 Suppose -2*x - 3*i = 28, -44 = 3*x + i + 4*i. Let w = -2 - x. Let n(j) = 3*j - 6. What is the units digit of n(w)? 2 Let m(d) = 13*d - 28. Suppose -17*j = -6*j - 88. What is the units digit of m(j)? 6 Let r = 66 + 2422. What is the tens digit of r? 8 Let p(t) = 4*t**2 - 3*t - 4. Let r be p(-8). Suppose 4*u = 4*o - r, -o - 3*o = 5*u - 321. What is the tens digit of o? 7 Suppose -6 = -3*u - 0. Suppose u*s + s = 81. Let j = s - 15. What is the units digit of j? 2 Suppose -p - 2 = 0, 2*r - 3*p = 7*r - 1899. What is the tens digit of r? 8 Let v(r) = -7*r + 12. Suppose 15 = 3*f + 3. Let c be v(f). What is the units digit of (-260)/c - 2/8? 6 Suppose 3*l + l + 128 = 0. Let j be (-74)/4 + 1/(-2) + 1. Let m = j - l. What is the units digit of m? 4 What is the hundreds digit of (((-1422)/(-8))/3)/(15/120)? 4 Suppose -5*v + 21 = -29. Suppose -3 = -5*p - j, v*j + 14 = 4*p + 5*j. What is the tens digit of (-3 + 17)/p - 3? 1 Let v be ((-6)/(-2))/(15/35). Let m be (-100 + v)*(-1)/(-3). What is the units digit of (-18)/12 - m/2? 4 Let f = 178 + -80. Let g = -52 + f. Let u = g - 29. What is the tens digit of u? 1 Let z = 2104 + -1231. What is the hundreds digit of z? 8 Suppose -5*g + h + 3805 = 0, -4*h - 37 = -17. What is the hundreds digit of g? 7 Let y = -131 - -55. Let u = -73 - y. What is the units digit of u? 3 Suppose 2*t - 16 = -2. Let u(b) = 9*b + 8. What is the tens digit of u(t)? 7 Let i = 11 - 4. Suppose 4*p + 7 = 2*r - i, 5*r = -3*p - 4. What is the tens digit of (-76)/p - 16/(-24)? 2 Suppose -2*n + 116*j = 119*j - 9741, -5*n - 2*j = -24336. What is the units digit of n? 6 Suppose -2*n - 818 = -4*h, 4*n + 308 + 293 = 3*h. Suppose -12*m + 9*m = -h. What is the tens digit of m? 6 Suppose 0 = 4*a + 3*j - 779, 2*a - j = 339 + 38. What is the hundreds digit of a? 1 Let x be 9/27 - (-14)/3. Suppose x = -5*v - 0*v. What is the units digit of 2 + (0/v)/(-2)? 2 Suppose 3264 = 19*l - 7*l. What is the hundreds digit of l? 2 Let v be 25 - (-1 + 2 + (-8)/2). Let g(c) = -c**2 + 32*c + 25. What is the tens digit of g(v)? 3 Let g(h) = -42*h**2 + 3*h + 2. Let f = 4 - 7. Let v(c) = 42*c**2 - 4*c - 3. Let x(y) = f*v(y) - 4*g(y). What is the tens digit of x(1)? 4 Suppose 16 = -304*p + 308*p. Let k(g) be the first derivative of g**4/4 - g**3/3 + 3*g + 2. What is the tens digit of k(p)? 5 Let m = -47 + 44. What is the tens digit of (-245)/m - 6/(-18)? 8 Let m(c) = 140*c**2 - 3*c + 2. Let i be m(2). Let b be 1/(-4) - i/16. What is the tens digit of (14/b)/(2/(-110))? 2 Let y be 2*(3 + 9/(-6)). Suppose -o = y - 40. Let u = o + -16. What is the tens digit of u? 2 Suppose 83 = -4*v - 5*c + 6*c, -4*v - 86 = -2*c. What is the units digit of (-1136)/v + (-6)/(-30)? 7 Let q(n) = -1 + 4*n - 5 - 2*n. Let a = 20 + -11. What is the units digit of q(a)? 2 Let b = -1175 + 1994. What is the hundreds digit of b? 8 Suppose 0 = 17*w - 6*w - 18909. What is the tens digit of w? 1 Suppose 3614 = 3*n + 4*o, -5*n + o + 6443 = 458. What is the hundreds digit of n? 1 Let h(z) = 53*z**2 - 15*z - 12. What is the hundreds digit of h(-5)? 3 Let a(y) = -67*y - 1. Let t be a(-3). Let o = -37 - -174. Let s = t - o. What is the units digit of s? 3 What is the thousands digit of (1 + 5/(-3))*12798/(-4)? 2 Let p(j) = -14*j + 101. What is the hundreds digit of p(-32)? 5 Let r =
{ "pile_set_name": "DM Mathematics" }
47. Solve d*p = -0 - 8 for p. -4 Suppose -11*a = 27*a - 7*a. Solve -15*k + 34 + 11 = a for k. 3 Let r(t) = -14*t**2 + 14. Let o(u) = 5*u**2 - 5. Let q(f) = -17*o(f) - 6*r(f). Let i be q(1). Suppose -14*c - 11*c = -175. Solve i = 5*l + 8 + c for l. -3 Suppose 0 = -23*s + 22*s, -80 = -5*f + 2*s. Solve 2*p = f - 24 for p. -4 Let u(r) = 6*r**3 - r. Let i be u(1). Let y be -4 + 3*96/18. Suppose -i*o = -33 - y. Solve -3 = -4*q + o for q. 3 Let v be 3/15 + 42/15. Suppose v*x - 1 = 3*l + 2, -2*l + x = -2. Solve -15 = l*n - 0*n for n. -5 Let x be ((-20)/(-25))/(6/(-15)). Let r be ((-5)/(-10))/(x/(-8)). Solve r*u - 3 = 5 for u. 4 Suppose -3*a - 3 = -2*i + 20, i - 15 = 5*a. Solve 5*h - 10 = i for h. 4 Let j = -624 + 627. Solve -j*t + 5 = 8 for t. -1 Let d be 8*1*40/32. Solve d = 135*f - 130*f for f. 2 Suppose 348 = -5*x - x. Let i = 61 + x. Solve 0 = i*f - 10 + 4 for f. 2 Let b(q) be the second derivative of -q**5/40 + q**4/2 - q**3/2 - 6*q. Let s(m) be the second derivative of b(m). Let n be s(4). Solve n = -8*v + 4*v for v. 0 Let k(s) = s + 2. Let z be k(2). Let v be 1 + -2 + 3 - 8/z. Solve v = -3*t - 0*t - 3 for t. -1 Let h be (-1*1)/(3/(-6)). Suppose h*i = -c, 3*c + i = -c. Let k = -445 + 447. Solve c*z - k = z for z. -2 Let p(j) = j + 5. Let f be p(-3). Let n = f - -2. Solve 3*z - n + 1 = 0 for z. 1 Let h(k) = k**3 + 17*k**2 + 16*k. Let t = -35 + 59. Suppose 20*c - t*c - 64 = 0. Let q be h(c). Solve q = 4*j + j + 25 for j. -5 Let b(x) = 3*x**2 - 3*x + 3. Let m be b(1). Let w(f) = -f + 7. Let h be w(m). Suppose -g = -2*y + 34, 0*g + 37 = 3*y + 2*g. Solve -a = -h*a + y for a. 5 Let i = -386 + 386. Solve -2*y + 8 - 8 = i for y. 0 Let a(v) = v**3 + 3*v**2 - 18*v - 34. Let t be a(-5). Solve t*o = 26*o + 60 for o. -3 Let h be (2 + -2)*4/8. Let j = -10 + 10. Suppose 2*q = 4*s - s - 1, 4*s - q - 3 = j. Solve z - s = -h*z for z. 1 Suppose -5*p - 3*q = -8, 5*q + 16 - 12 = -4*p. Solve 0 = p*g + 37 - 41 for g. 1 Suppose -5*w + 2*m + 6 = -1, 2*w - 2*m + 2 = 0. Let t be (-4)/(-6) - 14/w. Let k be 0 - -1 - 4/t. Solve 2*g = -k*g - 20 for g. -5 Let d be (-92)/(-22) + 34/(-187). Solve -83*v = -85*v - d for v. -2 Let q = 282 - 272. Solve -q*j = -4*j + 24 for j. -4 Suppose 4*n + 4 = 12. Let y be (-170)/(-12) - 7/42. Solve -4 = n*v - y for v. 5 Let t be (1 - 6)/(8/(384/(-40))). Solve 0 = -t*v + v for v. 0 Let j = -293 - -304. Solve x + j - 12 = 0 for x. 1 Let y = -127 + 148. Let g be 30/(-4)*(-8)/10. Let j be (-24)/(-3) - (8 - 5). Solve -j*n = -g + y for n. -3 Suppose -461 = 4*c - 253. Let a = c + 62. Let u = 7 + -2. Solve 0*r - u*r = a for r. -2 Suppose -4*j + 2*i = 5*i - 114, -2*j + 5*i = -70. Suppose -j = -5*z + 4*g + g, 2*g + 3 = z. Let y be z/6*10/3. Solve y*a = 2*a for a. 0 Let q(i) = -10*i**2 - 5*i + 2*i + 9*i**2 + 5 - 4*i. Let f be q(-7). Solve 2*p = 3 + f for p. 4 Let p(x) = -x**2 + 14*x - 18. Let z be p(12). Let i be (0 + -1 + 1)/2. Suppose w - z + 1 = i. Solve w*n = 14 + 6 for n. 4 Let q = 1 + 1. Suppose 0*h + 5*h - f = 15, -4*h + q*f = -12. Solve h*a - 9 = -0*a for a. 3 Suppose -4 = -4*a + 8. Let g be (-3 + 3 - 1)*a. Let n = g - -3. Solve -2*d + n - 10 = 0 for d. -5 Suppose -12 = 4*c - 0*c, -5*k + 22 = -4*c. Let i(g) = g**2 + g. Let h be i(-1). Solve h*f = -f + k for f. 2 Let p = 972 - 952. Solve 3*x = 8*x + p for x. -4 Let f be 97/(10/15 - 3/(-9)). Let c = f + -97. Solve c = -s - 0*s for s. 0 Suppose -2*g + 0 - 2 = -3*k, -2 = -2*k + g. Suppose -w = -k - 2. Solve t = w - 2 for t. 2 Suppose l + 2 - 98 = 0. Suppose 2*m - 67 = 5*z - 16, -4*m = -4*z - l. Let s = m + -21. Solve 2*b - 3*b - s = 0 for b. -2 Let d = 7 - 4. Suppose 0 = d*j - 3*x, 3*j - 26 = -4*x + 9. Solve 4*b + 7 = -j for b. -3 Suppose 614*q = 615*q. Solve -o - 5 = -q*o for o. -5 Suppose 5 = -5*g - n, 4*n + 20 = 4*g - 0*g. Suppose g = -6*c + 11 + 1. Solve -4*x = 10 + c for x. -3 Let u be (3/2)/(33/44). Let l be (-3)/2 - ((-15)/u)/5. Solve l = -5*p + 3*p - 2 for p. -1 Suppose 4*m = -3*g - 404, -2*m - 478 = 3*m - 3*g. Let i be m/(-12) - 14/84. Solve -i = -5*z - 3 for z. 1 Suppose -q - 6*r - 13 = -r, r = 5*q - 39. Suppose q*v + 4 = 9*v. Solve -2*b = v*b for b. 0 Let q = 1117 + -1109. Suppose 0 = -x + 8 + 1. Suppose k = -2*k + x. Solve -q = k*j + j for j. -2 Let m = -219 - -223. Solve -7*o = -m*o for o. 0 Let c be (-38)/(-2) + 427/(-61). Solve c*w + 10 = 7*w for w. -2 Suppose 42*y - 8*y = 1462. Solve -8 = -39*k + y*k for k. -2 Let g(v) = -2*v. Let f be g(-2). Let j(n) = -n**2 + 19*n - 14. Let w be j(16). Suppose w*c - 37*c = -15. Solve c*s - 9 + f = 0 for s. 1 Let w be 0 + 1 + -2 - -3. Let t(j) = -3*j**3 - 2*j**2 + 2*j. Let r be t(-3). Let x = r - 54. Solve -x*z + w*z - 2 = 0 for z. -2 Suppose -4*x = -86 + 10. Suppose 4*d + x = 3*h, h + 9 = -2*d + 2. Let g be (-4)/(-18) - (-16)/9. Solve -h = q - g*q for q. 1 Let k(t) = -t**2 + 2*t + 32. Let j be k(7). Let n be ((-21)/14)/(j/6). Solve 9 + 0 = n*a for a. 3 Let m = 364 + -360. Solve -7*t + 5*t = -m for t. 2 Let k = -295 + 303. Solve 3*a + 7 = -k for a. -5 Let r be (-2)/(-1)*(24 + -10). Solve 8*z = z - r for z. -4 Suppose -2*r = -137 + 117. Solve -21*y = -23*y + r for y. 5 Let m be (3 - 3)*5*(-5)/(-25). Solve 196*l - 191*l + 25 = m for l. -5 Let h be (-2)/10 + 468/90. Solve -h = -x - 10 for x. -5 Let f = -60 - -58. Let q be 9/(-12)*-6*f/(-3). Solve -q*v + 2 - 11 = 0 for v. -3 Let p be 2/(-6) - 52/(-12). Suppose 7*j + 5*d - 21 = p*j, d = -3*j + 9. Solve 3*v - j*v = 0 for v. 0 Let u(w) = -14*w**2 + 4*w**2 + 13*w + 11*w**2 + 3. Let r be u(-13). Solve -5*l - 2 = -r*l for l. -1 Suppose -2*m + m + y = 55, -3*y - 185 = 4*m. Let v = m + 54. Solve -v = 4*k + 8 for k. -3 Suppose -4*x - 2*v + 1940 = -v, 0 = -2*x - 4*v + 956. Let u be 12/15 - x/(-30). Solve u + 3 = -5*q for q. -4 Suppose -9*x - 13*x = -440. Solve 4*a = -a + x for a. 4 Suppose -2*b + 14 = -u, -3*u = -b + 3*b + 2. Let t = 0 - u. Solve t*a + 12 = a for a. -4 Let k(n) = -n**2 + 8*n - 9. Let z be k(5). Suppose z*o - 5 - 1 = 0. Suppose o + 21 = 2*h. Solve -1 + h = 5*l for l. 2 Let v(g) be the first derivative of -11*g**4/4 + 2*g**3/3 + g**2 + g + 13. Let f be v(-1). Solve -4*t = -4 + f for t. -2 Let i(y) = -y**2 - 4*y + 82. Let f be i(7). Solve -f*v = -20 - 5 for v. 5 Let x be (-3)/7 + (-10458)/(-49) + -5. Solve -x = -4*z - 196 for z. 3 Let m be (3 - 1)*(-1)/(-2) + 68. Let a = -67 + m. Solve -3*t = -a + 11 for t. -3 Let y(i) = -i**3 - 11*i**2 + i + 16. Let h be y(-11). Suppose 2*n - 43 = -5*v, -2*v = -1 - h. Let s = n - 13. Solve 2*d + s = -1 for d. -1 Let x(p) be the third derivative of -p**5/30 + 11*p**4/24 + 7*p**3/6 - 13*p**2. Let d be x(6). Solve m = -0*m - d for m. -1 Suppose 3*m - 7 = 8. Suppose -2*i + s + 44 = -1, -s + m = 0. Let o be ((-3)/(-2))/((-1)/(-2)). Solve o*l = -2*l + i for l. 5 Let t(v) be the third derivative of v**6/120 - v**5/60 + v**4/24 + v**3/3 - 9*v**2. Let z be t(0). Solve 1 = -y + z for y. 1 Let h(p) = p**3 - 6*p**2 + 6*p - 2. Let a be h(5). Let v(j) = j**2 - j - 6. Let l be v(3). Let s be l*(-2 - (3 - 4)). Solve s = 4*y - 17 - a for y. 5 Let k = 236 + -219. Solve k + 3 = 5*p for p. 4 Let p = 23 - 18. Suppose 0 = 2*y - 0*l - 2*l - 16, -p*y - 2*l = -33. Solve 1 + y = 4*s for s. 2 Let i = 104 - 102. Suppose -10 + 4 = -3*n. Suppose i*v = -j - 2*v + 5, -3*j = -n*v - 1. Solve -6 + j = s for s. -5 Let k(w) = w - 78. Let u be k(17). Let f = u - -61. Solve f = 2*c - 6 + 2 for c. 2 Suppose 0 + 3 = p. Solve p = -3*g + 15 for g. 4 Let u = 20 + 9. Let h = -94 + u. Let r be (-67)/(-13) + 10/h. Solve 9*z - 4*z + r = 0 for z. -1 Let g be 1*(-2 + 7) + (36 - 36). Solve 8*i = g*i - 3 for i. -1 Let d(l) = -15*l - 12*l + 5969 - 5991 + 4*l. Let v be d(-2). Solve 5*r - v + 9 = 0 for r. 3 Suppose 2*f - 19 = -23, 28 = 2*r + f. Let g(q) = q**3 - 18. Let l be g(0). Let i = 26 + l. Solve 0 = 3*p - i*p - r for p. -3 Suppose 44*i + 15*i = 4307. Solve 0 = 2*h + i - 69 for h. -2 Suppose -5*m + a = -42, 2*m + 5*a - 30 = a. Let d(p) = -6*p + p**2 + 5 + 3*p**2 + 2*p - 3*p**2. Let h be d(3). Solve h*l = 5*l - m for l. 3 Let f be 6/9*1*-6. Suppose 0 = -5*q + 80 - 25. Let u = f + q. Solve 4*c - u + 23 = 0 for c. -4 Let q be 0 + 4 + -41 + 44. Solve -8*i - q*i = -75 for i. 5 Suppose 4*i = 1 + 7. Suppose 11 = i*t + 3. Let g be 42/11 + t/22. Solve -9 = g*u + 7 for u. -4 Let w(v) = v**2 - 21*v + 73. Let t be w(17). S
{ "pile_set_name": "DM Mathematics" }
ative of -282*x + 380? -282 Find the second derivative of 1396*v**5 + 6*v + 51 wrt v. 27920*v**3 Find the third derivative of -72*l**5*p + 2*l**5 + 34*l**2*p - l*p - 2*p wrt l. -4320*l**2*p + 120*l**2 Find the third derivative of -3*b*y**4 + 11*b*y**2 - b*y + 2*y**5 + 1 wrt y. -72*b*y + 120*y**2 Find the first derivative of 22*q**2 - 3*q + 267. 44*q - 3 What is the third derivative of -k*l*p - 21*k*p**3 + 14*l**2*p**3 - 255*l**2*p**2 - 2*l**2 wrt p? -126*k + 84*l**2 Find the second derivative of 241*i*k**4 + 2*i*k**2*o - i*k**2 - 31*i*k - 2*i*o + 3*k*o - 2 wrt k. 2892*i*k**2 + 4*i*o - 2*i Differentiate -117*j - 105. -117 Find the second derivative of 250*v**5 - v. 5000*v**3 Find the third derivative of 18968*j**4 + 13073*j**2 wrt j. 455232*j Find the third derivative of -2*i**4*x**2 - i**3*x**2 - 12*i**3 + i**2*x**2 - 30*x**2 wrt i. -48*i*x**2 - 6*x**2 - 72 What is the second derivative of 144*d**4 - 47*d + 4? 1728*d**2 What is the third derivative of -43*m**4 - 3*m**3 - 3*m**2 - 26*m wrt m? -1032*m - 18 Find the third derivative of -103*d**2*r**3 - 77*d**2*r + 3*d*r**5 + d - 5*r**2 wrt r. -618*d**2 + 180*d*r**2 What is the third derivative of 19167*w**3 + 18968*w**2 wrt w? 115002 Find the third derivative of -13*d**3*r*y - 26*d**3*y**3 + d**3 + 511*d**2*r + d**2*y**3 - 2*d*r*y**3 wrt d. -78*r*y - 156*y**3 + 6 Differentiate 22*n - 301. 22 Find the third derivative of 11251*x**3 + 65*x**2 - 2*x. 67506 Find the second derivative of -11*o*x**3 + 23*o*x - 2*x**4 - x**3 - 9 wrt x. -66*o*x - 24*x**2 - 6*x What is the second derivative of 8761*d**4 + 1436*d + 1 wrt d? 105132*d**2 Differentiate x**2 - 7*x + 22. 2*x - 7 What is the third derivative of 14728*o**5 + o**2 + 4458*o + 2 wrt o? 883680*o**2 What is the third derivative of -57*k**6 + 6*k**3 - 429*k**2 - 2*k? -6840*k**3 + 36 Find the second derivative of 2*r**3*x**2 - 1179*r**3*x + 505*r**2*x**2 wrt x. 4*r**3 + 1010*r**2 Find the first derivative of -912*j*u - 70*u - 24 wrt j. -912*u What is the second derivative of -2704*d**2*f**2 + 3*d*f**2 + 25*d - 2*f**2 + 1 wrt d? -5408*f**2 What is the third derivative of 304*z**5 - 66*z**2 + 2 wrt z? 18240*z**2 What is the second derivative of 5372*y**3 - 4713*y wrt y? 32232*y What is the second derivative of 12*l**5*y**3 - 3*l**2*y**3 + 7*l*y**3 - 5*y**2 wrt l? 240*l**3*y**3 - 6*y**3 Find the second derivative of -f**2*m*x**2*z + 2*f**2*m*x*z - 3*f**2*x**2*z - f**2*z**2 - 18*f*m*x*z**2 + 5*f*x*z + m*x**2 - 2*x**2*z**2 wrt z. -2*f**2 - 36*f*m*x - 4*x**2 Differentiate -2*a*m**2 - 3728*a*m*z - 932*m**2*z + 2*m**2 - 2*m*z + m with respect to a. -2*m**2 - 3728*m*z Find the third derivative of -231*a**4 - 3*a**2 + 7*a wrt a. -5544*a What is the third derivative of 41*c*d**3*s + 4*c*d**3 + 1837*c*d**2*s + 2*d**2 wrt d? 246*c*s + 24*c What is the second derivative of 17*u**5 + 4*u**2 - 3*u - 197 wrt u? 340*u**3 + 8 Find the third derivative of -27682*f**4 - 33940*f**2 wrt f. -664368*f What is the third derivative of 71*z**5 + 91*z**2? 4260*z**2 Differentiate 6586*o + 487 with respect to o. 6586 Find the first derivative of 54*b*p*s + b*p + 16*b*s + b - 5*p*s + 87*p + 2*s + 1 wrt b. 54*p*s + p + 16*s + 1 Find the second derivative of -50*t**2*w - 3*t - 2*w + 19 wrt t. -100*w Find the second derivative of -3*j**2*s + 14*j**2*z**2 + j**2 - 4*j*z**2 + s*z**2 + 10*z**2 wrt j. -6*s + 28*z**2 + 2 What is the second derivative of -385*i**4 + 69*i + 1 wrt i? -4620*i**2 What is the derivative of -118*d**2*g**3 - 26*d**2*g + 654*d**2*l - 2*d*g**3*l wrt l? 654*d**2 - 2*d*g**3 Differentiate 150*a*i**3 + 97*i**3 - 3 with respect to a. 150*i**3 Find the second derivative of i**3*q**2 + 1598*i**3*q - i**2*q + 2687*i*q**3 wrt q. 2*i**3 + 16122*i*q What is the derivative of 11*g**2 + 438*g + 12874 wrt g? 22*g + 438 Differentiate s**3 + 603*s - 809 with respect to s. 3*s**2 + 603 What is the second derivative of 3177*l**4 + 2*l + 39 wrt l? 38124*l**2 Find the second derivative of -4*k*q**4 - 27*k - q**5 + 227*q**3 - 14*q wrt q. -48*k*q**2 - 20*q**3 + 1362*q What is the second derivative of -p**3*v**2*z**3 + 2*p**3*v**2 - 2*p**3 - 4*p*v*z**2 + 3*p*z**3 - 2*v*z**2 wrt v? -2*p**3*z**3 + 4*p**3 Find the first derivative of -1386*f*p*y - f - 10*p*y - 15*y wrt f. -1386*p*y - 1 Find the third derivative of -85*n**6 - 1254*n**2 wrt n. -10200*n**3 Find the third derivative of -630*j**3*p**3 - 339*j**3*p**2 wrt p. -3780*j**3 What is the derivative of 3*s**3 + 121*s**2 + 14144? 9*s**2 + 242*s What is the third derivative of -51*v**5 - 3*v**4 + 419*v**2 wrt v? -3060*v**2 - 72*v Find the second derivative of 64*s**5 - 2*s**4 - 130*s. 1280*s**3 - 24*s**2 Find the third derivative of 659*k**3 + 73*k**2 + 4 wrt k. 3954 What is the first derivative of -5*a**2*h*s**2 - 2*a**2*h*s + a**2*y - 68*a*h*s*y + h - 3*s**3*y + 7*s**3 + 2*y wrt y? a**2 - 68*a*h*s - 3*s**3 + 2 Find the second derivative of -l**2*w**2 + 874*l**2*w - 57*l*w + 8*w**2 wrt l. -2*w**2 + 1748*w Find the third derivative of 3704*l**2*o**3*w**3 - 50*l**2*o*w**2 - l**2*w**2 + 10*o**2*w**3 + o*w**3 + w wrt o. 22224*l**2*w**3 What is the second derivative of -95*t**2*y**4 - 3*t**2*y**2 + t**2*y - 12*t**2 + 4 wrt y? -1140*t**2*y**2 - 6*t**2 Differentiate -2011*r**2 + 3905. -4022*r What is the third derivative of -3536*b**3*t - 6385*b**2*t wrt b? -21216*t What is the third derivative of 3816*t**4 - 2*t**2 + 1662*t? 91584*t Find the third derivative of 13*d**2*o*w**3 + d**2*w - 5*d*o**3*w + 34*o**3*w**3 - 12*o**3*w**2 wrt w. 78*d**2*o + 204*o**3 Find the second derivative of 99*y**5 - 21*y + 2. 1980*y**3 Find the third derivative of -2*o**4 + 47*o**3 - 2*o**2 - 181. -48*o + 282 Differentiate 88*n**3*t**2 + 2*n**2*t**2 + 37*t**2 + 4 wrt n. 264*n**2*t**2 + 4*n*t**2 Find the third derivative of 488*s**3 - 159*s**2 - 3*s. 2928 Find the third derivative of d*r**3*s**3 - 2*d*r**3*s + 151*d*r**2*s**3 - 3*d*r**2*s - 8*s**2 wrt s. 6*d*r**3 + 906*d*r**2 Find the third derivative of -5*u**2*z**6 - u**2 + 3*u*z**5 + 2*z**2 + 2*z wrt z. -600*u**2*z**3 + 180*u*z**2 Find the second derivative of 1744*a**4 + 835*a wrt a. 20928*a**2 Differentiate -13252*x**3 + 19019 wrt x. -39756*x**2 Find the second derivative of 7*m**5 + 4*m**2 - 31*m. 140*m**3 + 8 Find the second derivative of -f**5*w**2 + 48*f**2*w**3 + 3*f*w**3 - 16*w**3 wrt f. -20*f**3*w**2 + 96*w**3 Find the third derivative of -9*b**3 - 87*b**2 wrt b. -54 Find the second derivative of -612*j**2*m**3 + 3*j*m**3 - 70*j - 3*m**3 wrt j. -1224*m**3 Differentiate -43*q**2*v + q**2 - 23*q - v**2 - v wrt v. -43*q**2 - 2*v - 1 Find the first derivative of 64*a**3*j**4 + 2347*a**3 - 5*a**2*j wrt j. 256*a**3*j**3 - 5*a**2 Find the second derivative of -i**4 - 2746*i**2 - 4338*i wrt i. -12*i**2 - 5492 Find the second derivative of 6*a**4 - 359*a**2 + 38*a + 3 wrt a. 72*a**2 - 718 Find the third derivative of -2*d**6 - 1023*d**4 + 3*d**3 + 5054*d**2 wrt d. -240*d**3 - 24552*d + 18 Find the second derivative of 8*i**3 + 6*i + 25. 48*i What is the third derivative of -38*w**5 + 238*w**2? -2280*w**2 What is the third derivative of -2*p**6 + 4*p**5 - 11*p**2 + 10*p? -240*p**3 + 240*p**2 What is the first derivative of 2*b**2 + 108*b - 29 wrt b? 4*b + 108 Find the third derivative of 927*w**6 - 2*w**4*x + 2*w**2*x - 2*w*x - 12*w wrt w. 111240*w**3 - 48*w*x What is the third derivative of 27*y**5 + 34*y**4 + 4256*y**2? 1620*y**2 + 816*y What is the derivative of 143*j**4 + 35? 572*j**3 What is the second derivative of -9*t**5 + 221*t**2 - 2*t - 4067 wrt t? -180*t**3 + 442 Find the third derivative of -605*i**3*p + i**3 + i**2*p - 26*i**2 - i*p - 27*p wrt i. -3630*p + 6 What is the first derivative of -12*g**3*l**2 - g**3 + 2*g**2*l - 16*g*l**2 - 29 wrt l? -24*g**3*l + 2*g**2 - 32*g*l What is the derivative of 8*s*y**2 - 8*s*y + 6*s - 4*y**2 + 6 wrt y? 16*s*y - 8*s - 8*y What is the first derivative of 2*b**4 - 1289*b + 937 wrt b? 8*b**3 - 1289 Find the first derivative of 5*i*p + 56*i + 1086*p wrt i. 5*p + 56 What is the first derivative of -d*j**3 - 511*d - 48*j**3 - 28*j**2 wrt d? -j**3 - 511 Find the third derivative of 178*n**3*q - 4*n**3*z**3 + n**2*q**2 - n**2*z**2 + n*q**2*z**3 - 5*z**3 wrt z. -24*n**3 + 6*n*q**2 - 30 What is the second derivative of 756*c**3*l**3 + 2*c**3*l**2 + 214*c**3 + 4*c*l - 2*l**3
{ "pile_set_name": "DM Mathematics" }
5, -0.4, 0.07 in descending order. 445, 0.07, -0.4 Put -1/2, -5, 0.1, -4/9 in increasing order. -5, -1/2, -4/9, 0.1 Sort -1, -363, -3. -363, -3, -1 Sort 1, -2, 0, 953, -4. -4, -2, 0, 1, 953 Sort -1/2, -15, -1/6, 2, -5/6. -15, -5/6, -1/2, -1/6, 2 Sort -3/5, -0.641, 2/11 in decreasing order. 2/11, -3/5, -0.641 Sort 3/5, 2/21, -1/2, -2/13, 0 in descending order. 3/5, 2/21, 0, -2/13, -1/2 Put -0.12, -13, -0.1, 0.3, -0.3 in decreasing order. 0.3, -0.1, -0.12, -0.3, -13 Put 0, 4, -26, 5 in decreasing order. 5, 4, 0, -26 Sort -4, 19, 0, -2 in decreasing order. 19, 0, -2, -4 Put 1045, -0.2, -3, -1, 3 in ascending order. -3, -1, -0.2, 3, 1045 Sort -0.5, 0.5, -0.0148 in decreasing order. 0.5, -0.0148, -0.5 Put -16, -4, -117, 0 in increasing order. -117, -16, -4, 0 Sort -6/7, -4, 1.1 in ascending order. -4, -6/7, 1.1 Sort -2, -6, -5, 4. -6, -5, -2, 4 Sort -5, -8, -3, 0, 4 in decreasing order. 4, 0, -3, -5, -8 Sort -2, 2, 5, -3. -3, -2, 2, 5 Put 0, 132, -4, 2, 4 in descending order. 132, 4, 2, 0, -4 Sort 5, -1/38, 2/73 in descending order. 5, 2/73, -1/38 Sort 13, 5, -2, 57, -4 in decreasing order. 57, 13, 5, -2, -4 Sort -45, -19, 5/4 in descending order. 5/4, -19, -45 Sort 1, 0.2, -27, -4, -0.77. -27, -4, -0.77, 0.2, 1 Put 4, -223, 3 in ascending order. -223, 3, 4 Sort -150, 0, 5 in decreasing order. 5, 0, -150 Put 4, 2/273, 3, -3 in decreasing order. 4, 3, 2/273, -3 Sort 0.1, 59/7, -0.1 in increasing order. -0.1, 0.1, 59/7 Sort 0, -1/3, 0.5, 2/19. -1/3, 0, 2/19, 0.5 Put 5, 0.5, 10, 2 in ascending order. 0.5, 2, 5, 10 Put 4, -56, 3, 2/5 in descending order. 4, 3, 2/5, -56 Sort 5, 9, -1, -5 in descending order. 9, 5, -1, -5 Put 5, -3, -0.3, 0 in descending order. 5, 0, -0.3, -3 Sort -2, 2, 19, -0.53. -2, -0.53, 2, 19 Sort -2/3, -6, 1/39, 0 in decreasing order. 1/39, 0, -2/3, -6 Put 4, -4, -391 in decreasing order. 4, -4, -391 Sort -240, -7, 5, -5 in descending order. 5, -5, -7, -240 Sort 2/17, 1/5, 1.3, -0.1 in decreasing order. 1.3, 1/5, 2/17, -0.1 Sort 8, 5, -0.109, 2/17 in decreasing order. 8, 5, 2/17, -0.109 Sort 6/5, -17/32, -3/2, 0.3, 1/5 in descending order. 6/5, 0.3, 1/5, -17/32, -3/2 Sort 3, -1, 31, -19. -19, -1, 3, 31 Put 25, -3, 43 in descending order. 43, 25, -3 Put -2, -340, 5, 4 in increasing order. -340, -2, 4, 5 Put -2, 0.5, -140 in ascending order. -140, -2, 0.5 Sort 6, 1, 78 in decreasing order. 78, 6, 1 Sort 0, -2, 5, -5, 21. -5, -2, 0, 5, 21 Sort -3, -11492, 5 in ascending order. -11492, -3, 5 Put 9, -1, -4 in increasing order. -4, -1, 9 Put -2, 2, -29, -9 in decreasing order. 2, -2, -9, -29 Sort -269, 1, 2, 4 in descending order. 4, 2, 1, -269 Sort 13.4, -3/5, -0.1, -0.5 in decreasing order. 13.4, -0.1, -0.5, -3/5 Sort -3, -1, 3, 2, -19. -19, -3, -1, 2, 3 Sort -4, 4, 3, -148 in increasing order. -148, -4, 3, 4 Sort -10, 0.13, -0.3, 1, 0.1 in ascending order. -10, -0.3, 0.1, 0.13, 1 Put 0.2, -468, 1/7, -5 in decreasing order. 0.2, 1/7, -5, -468 Sort -3, -2, -5. -5, -3, -2 Put 2, 1.7, 13, -5 in decreasing order. 13, 2, 1.7, -5 Sort 0.3, 0.04, -4/7, -2 in increasing order. -2, -4/7, 0.04, 0.3 Sort 3, -48, 1, -4. -48, -4, 1, 3 Sort -0.7, -1/2, -3, -2 in decreasing order. -1/2, -0.7, -2, -3 Put -3, 27, -5, 9 in increasing order. -5, -3, 9, 27 Sort 0.04, 2.9, -1/4. -1/4, 0.04, 2.9 Put 3, -0.2, 44, 4 in decreasing order. 44, 4, 3, -0.2 Put -1, -2/15, 4/21, -3/2 in increasing order. -3/2, -1, -2/15, 4/21 Sort -5, 10, -0.1, -0.05, -10 in ascending order. -10, -5, -0.1, -0.05, 10 Sort 0.5, -5, -3.7, -10, -0.1. -10, -5, -3.7, -0.1, 0.5 Sort -4, 1099, -1, 1. -4, -1, 1, 1099 Put 65, 3, 0, 5 in ascending order. 0, 3, 5, 65 Put 0, -5, -2, 4 in descending order. 4, 0, -2, -5 Put 16, 2, -5, 1 in descending order. 16, 2, 1, -5 Sort 44, 1, -5 in ascending order. -5, 1, 44 Put 0.5, 7, -110 in increasing order. -110, 0.5, 7 Sort -2/11, -4, -45/4, 0.5, 4 in descending order. 4, 0.5, -2/11, -4, -45/4 Put -4, -1, 21 in ascending order. -4, -1, 21 Sort 1/5, 0.5, -22, 5 in ascending order. -22, 1/5, 0.5, 5 Sort 12, -5, 1 in decreasing order. 12, 1, -5 Sort 43, -2, 3, 128, -4 in increasing order. -4, -2, 3, 43, 128 Sort 0.1, -5, 0.3, 4/7. -5, 0.1, 0.3, 4/7 Sort 0.5, 0.018, -0.5, 2 in ascending order. -0.5, 0.018, 0.5, 2 Put -7, -1, -4, 4 in increasing order. -7, -4, -1, 4 Put 0, -1, 477 in ascending order. -1, 0, 477 Put -9, -10, 8, 0 in decreasing order. 8, 0, -9, -10 Sort -25, 2, 1, -3 in decreasing order. 2, 1, -3, -25 Put 2/17, -2/3, 3/4, 362, -4 in decreasing order. 362, 3/4, 2/17, -2/3, -4 Sort 2/9, 5, 94, 1/3, 1/12 in decreasing order. 94, 5, 1/3, 2/9, 1/12 Put -0.1, 0.4, 1/20, -4, -0.02 in descending order. 0.4, 1/20, -0.02, -0.1, -4 Sort 0, -66, 1, -4. -66, -4, 0, 1 Sort -0.04, 6, 4 in decreasing order. 6, 4, -0.04 Sort 0, -1048, 3 in increasing order. -1048, 0, 3 Sort 6, 2, -6. -6, 2, 6 Put -4/3, 69, -0.283 in ascending order. -4/3, -0.283, 69 Sort 0.5, 23, -0.023, -1/6. -1/6, -0.023, 0.5, 23 Put 2, 38, 5, 32 in descending order. 38, 32, 5, 2 Sort -0.5, -10, -0.1, -1/3 in decreasing order. -0.1, -1/3, -0.5, -10 Sort 11, -1, 5, -4, -3 in decreasing order. 11, 5, -1, -3, -4 Put -2, -26, 4, -5, 5 in ascending order. -26, -5, -2, 4, 5 Put 5, -71, 1 in decreasing order. 5, 1, -71 Sort 2/3, 1/5, 1, -12. -12, 1/5, 2/3, 1 Put -5, 29, -3, 4, -4 in ascending order. -5, -4, -3, 4, 29 Sort 5, 0.5, 0.1, -3/10 in descending order. 5, 0.5, 0.1, -3/10 Sort 2, -4, -10, -5 in ascending order. -10, -5, -4, 2 Sort 2, -2/17, -16, -0.2 in ascending order. -16, -0.2, -2/17, 2 Sort -26/15, -0.2, 4 in decreasing order. 4, -0.2, -26/15 Sort 1, 21, 4, 0, 3. 0, 1, 3, 4, 21 Put -1, 2, 4, -8 in decreasing order. 4, 2, -1, -8 Put -2, 129, 4 in descending order. 129, 4, -2 Put -214, 3, 0, -4 in increasing order. -214, -4, 0, 3 Put 0.3, -1/3, -7 in ascending order. -7, -1/3, 0.3 Sort 2, 520, 5, 1, -2 in decreasing order. 520, 5, 2, 1, -2 Sort -85, 3, 12 in descending order. 12, 3, -85 Sort 2/3, 5, -0.3, -1/139 in increasing order. -0.3, -1/139, 2/3, 5 Put -676, -0.08, 0.3 in descending order. 0.3, -0.08, -676 Put 2, 4, -24, 9 in decreasing order. 9, 4, 2, -24 Put 2/637, 2/13, 2/11 in descending order. 2/11, 2/13, 2/637 Sort 0.6, -15/7, 1/2 in increasing order. -15/7, 1/2, 0.6 Put 0, -1/2, -3, 0.5, 2128 in decreasing order. 2128, 0.5, 0, -1/2, -3 Sort -3, 5, 228, -4 in decreasing order. 228, 5, -3, -4 Sort -3569, -2, 4 in increasing order. -3569, -2, 4 Put 422, 0.3, 0.1 in decreasing order. 422, 0.3, 0.1 Sort 2/5, 7, -5/2, 23, 0 in decreasing order. 23, 7, 2/5, 0, -5/2 Put -4, -2, -1, 5, 1955 in ascending order. -4, -2, -1, 5, 1955 Put 89, -2/13, -4/7 in descending order. 89, -2/13, -4/7 Sort -1/6, 4, -3/4, -0.02. -3/4, -1/6, -0.02, 4 Put 1/6, -47, 0, 0.5 in decreasing order. 0.5, 1/6, 0, -47 Put -3, 5, -5, -13, 11 in decreasing order. 11, 5, -3, -5, -13 Sort -2, -1, 16, -4, 1. -4, -2, -1, 1, 16 Sort 1, 3/8, -4, -5. -5, -4, 3/8, 1 Put -5, 21, -7 in decreasing order. 21, -5, -7 Put 0, -4, -1, -35, 4 in descending order. 4, 0, -1, -4, -35 Sort 0, -6, 1, 8 in decreasing order. 8, 1, 0, -6 Put -4, 1, -391/4, 0.5 in decreasing order. 1, 0.5, -4, -391/4 Sort 10, -5, 0.1, -0.2, 9/4 in increasing order. -5, -0.2, 0.1, 9/4, 10 Sort 5, 33, -12 in decreasing order. 33, 5, -12 Sort 9, -0.1, 0, -4 in ascending order. -4, -0.1, 0, 9 Put -5, -2, -70, -1/4 in decreasing order. -1/4, -2, -5, -70 Sort 1, 5, -1, -78 in decreasing order. 5, 1, -1, -78 Put -4/7, -0.3, -114, -0.1 in descending order. -0.1, -0.3, -4/7, -114 Sort -4, 3, 377 in decreasing order. 377, 3, -4 Sort -0.2, -3, 9, 2/3, -5 in ascending order. -5, -3, -0.2, 2/3, 9 Put 6, -31, 5, 4, 2 in descending order. 6, 5, 4, 2, -31 Put 1, 5184, 5 in increasing order. 1, 5, 5184 Put -78, 4, 5 in ascending order. -78, 4, 5 Sort -1, 5, 3, -11, -2 in descending order. 5, 3, -1, -2, -11 Put -9.11, -1/5, -0.5 in ascending order. -9.11, -0.5, -1/5 Sort -2, 7, 1, 45, -1 in increasing order. -2, -1, 1, 7, 45 Put -3, 59, 0, 3 in ascending order. -3, 0, 3, 59 Put 0.4, 22, -3, -0.2 in decreasing order. 22, 0.4, -0.2, -3 Sort -1/5, -71, -214 in decreasing order. -1/5, -71, -214 Sort -4, -0.14, 0.18 in decreasing order. 0.18, -0.14, -4 Sort -16, 5, -0.1, -2 in decreasing order. 5, -0.1, -2, -16 Sort -20, 0.5, -4, -1/6. -20, -4, -1/6, 0.5 Sort -16, 13, 7. -
{ "pile_set_name": "DM Mathematics" }
s**3 - 42*s*y + 4*s*z Find the third derivative of -455*j**4 + 63*j**2 + 5. -10920*j Find the second derivative of 6*h*n**4 - h*n - 239*n**4 - 62*n wrt n. 72*h*n**2 - 2868*n**2 Find the third derivative of 169*s*v**5 - 4*s*v**2 + v**6 - 5*v wrt v. 10140*s*v**2 + 120*v**3 Find the first derivative of 692*g*t**3 + 323*t**3 wrt g. 692*t**3 Differentiate -2*i*y + i - 2*o*y - 2*o + 9*y with respect to y. -2*i - 2*o + 9 Find the third derivative of 2711*r**6 + r**2 - 108*r. 325320*r**3 What is the derivative of 69*f*g*i*o + 2*f*g - f*i*o - f*o - 576*g*i + 7*o wrt f? 69*g*i*o + 2*g - i*o - o Find the first derivative of -g**2*q**2 + g**2 + g*q**2 + 29*g*q + 36 wrt q. -2*g**2*q + 2*g*q + 29*g Differentiate -783*p + 3454 with respect to p. -783 What is the second derivative of -698*t**5 - 4*t + 24? -13960*t**3 What is the first derivative of -9*b**2*n**2 - 76*b**2 + b*n**2 wrt n? -18*b**2*n + 2*b*n What is the derivative of -3*b*o**3*y - 31*b*o**3 + 7*o*y wrt y? -3*b*o**3 + 7*o Find the third derivative of 88*i**4 - i**3 - 447*i**2. 2112*i - 6 Find the third derivative of 60*f**3*g*h**3 - 2*f**3*h**3 - 2*f**2*g*h + 2*f*g*h**3 - f*g - 3*f*h wrt f. 360*g*h**3 - 12*h**3 What is the third derivative of g**3*o**3 + 4*g**3*o + 96*o**5 - o**2 wrt o? 6*g**3 + 5760*o**2 Find the third derivative of 9*b**2*j**4 - 44*b**2*j**2 - b*j**5 + 4*b*j**2 + 5*j**3 wrt j. 216*b**2*j - 60*b*j**2 + 30 What is the first derivative of -2*d*o**2*q - 53*d*o**2 + 51*d*q + 65*o**2*q + 2*o*q wrt d? -2*o**2*q - 53*o**2 + 51*q Find the second derivative of -276*d**5 - 247*d. -5520*d**3 What is the second derivative of -181*n**4 + n + 137? -2172*n**2 Find the first derivative of -2887*v**2*x - 1567*v**2 wrt x. -2887*v**2 Find the second derivative of 975*g**5 + g**3 - 10202*g wrt g. 19500*g**3 + 6*g Find the second derivative of 12*p**3*t*v - 6*p**3*v**2 - 2*p**2*t + 12*p*t*v**2 + 4*p*t*v + 3*p*v**2 + 2*t wrt v. -12*p**3 + 24*p*t + 6*p Find the first derivative of 1365*b**3 - 3802. 4095*b**2 What is the second derivative of 2*a**2*c**2*p + 2*a**2*c*p + 17*a**2*p + 2*a*c**2*p + 152*a*c - a*p - 3*c**2*p wrt a? 4*c**2*p + 4*c*p + 34*p What is the first derivative of -220*r**4 - 188 wrt r? -880*r**3 Find the third derivative of 5*x**6 + 2*x**4 - 13*x**3 + 7203*x**2 wrt x. 600*x**3 + 48*x - 78 Differentiate 9*n**3 - 5*n**2 - 2*n + 2363 with respect to n. 27*n**2 - 10*n - 2 Find the second derivative of -115*c**2*g**4 + 23*c**2*g**2 - 38*c**2*g + 5*c**2 - 3*g wrt g. -1380*c**2*g**2 + 46*c**2 What is the derivative of 3*c**4 - c**2 - 113 wrt c? 12*c**3 - 2*c Find the third derivative of -916*m**3 + 667*m**2. -5496 What is the derivative of -3*t**4 - 204*t**2 - 2417 wrt t? -12*t**3 - 408*t What is the first derivative of 11*r*v**4 - 1360*r + 286*v wrt v? 44*r*v**3 + 286 What is the second derivative of -363*l**3*u**2 - 7*l**2*u**2 - 6*l*u**2 - 1284*u**2 wrt l? -2178*l*u**2 - 14*u**2 Find the third derivative of 12215*l**2*y**3*z - 127*l**2*y**2*z + l**2*y*z - 2*l*y**2*z - 14 wrt y. 73290*l**2*z What is the first derivative of -20*a*q**2 - 10*a*q + 15*a - 1 wrt q? -40*a*q - 10*a What is the second derivative of 86*y**5 - 2*y**2 + 2*y + 168? 1720*y**3 - 4 Find the third derivative of 1619*n**3 - n**2 - 229*n + 5. 9714 Find the second derivative of 3483*d**3*o**2 + 13*d*o**2 - 189*o**2 wrt d. 20898*d*o**2 Find the first derivative of 14*w**2 + 7*w + 165. 28*w + 7 What is the first derivative of -3*f*l*t + 886*f*l - f*t - 94*f - 4*t - 1 wrt l? -3*f*t + 886*f Find the second derivative of -13*b**3*y**2 - 7*b**2*y**3 + 34*b**2*y + 14*b*y**3 - 2*b + 11 wrt b. -78*b*y**2 - 14*y**3 + 68*y Find the second derivative of -1243*z**2 - 9682*z - 1. -2486 Find the third derivative of -55*d**2*q**2*z**3 - d**2*q**2*z - 2*d**2*q*z - 2*d*k*q**2*z**2 - 2*d*k*q*z + 3*d*k*z**3 + 24*d*k*z**2 + 2*k*z**3 + z wrt z. -330*d**2*q**2 + 18*d*k + 12*k What is the second derivative of 21593*f**2 + 20906*f wrt f? 43186 What is the third derivative of -14*o**5 + o**3 + 5*o**2 + 2*o - 4 wrt o? -840*o**2 + 6 Find the third derivative of -44*h**5*l**3 + 17*h**5*l + h**2*l - 34*h*l**3 - 9*h wrt h. -2640*h**2*l**3 + 1020*h**2*l What is the second derivative of 22*d**5 - 4*d**2 + 2289*d wrt d? 440*d**3 - 8 What is the third derivative of 468*i**4*p + i**4 - 69*i**2*p + 14*p wrt i? 11232*i*p + 24*i Differentiate -632*c + 2642 with respect to c. -632 What is the derivative of -7398*x**2 + 20540 wrt x? -14796*x Find the first derivative of -b**3*k - 29*b**2 + 1103*k wrt b. -3*b**2*k - 58*b What is the derivative of 13*b**2*y + 5*b + 311*y wrt b? 26*b*y + 5 Find the second derivative of -2*d**4*t - 32*d**4 - 2*d**3*t - 144*d*t + 3*d + 2*t wrt d. -24*d**2*t - 384*d**2 - 12*d*t What is the third derivative of 26*i**4*m - 5*i**3*m - 36*i**2*m - 2*m + 1 wrt i? 624*i*m - 30*m What is the first derivative of -7*k*w**4 - 217*k*w**3 + 24*k + 13 wrt w? -28*k*w**3 - 651*k*w**2 Find the third derivative of -231*m**2*v**3 + 2*m**2*v**2 + 50*m**2 + v wrt v. -1386*m**2 Find the second derivative of -20*j**3*n**2 + j**3*y - 3*j**2*n**2*y - 2*j*n**2*y + 2*j*n*y - 5*n**2 - y wrt j. -120*j*n**2 + 6*j*y - 6*n**2*y What is the second derivative of -278*u**3 - 451*u wrt u? -1668*u What is the derivative of -2*h*l*z + 4317*h*l - 52*h*z + l**3*z + 2*l**3 wrt z? -2*h*l - 52*h + l**3 Find the third derivative of -181*u**6 + 11*u**4 - u**2 - u + 53. -21720*u**3 + 264*u Find the third derivative of -697*h**5 + 29*h**2 - 1 wrt h. -41820*h**2 What is the third derivative of -9381*a*r**4 + 87*a*r**2 - 12*a*r + 2 wrt r? -225144*a*r Differentiate -369*d**4 + 274 with respect to d. -1476*d**3 Find the second derivative of 67*h**3*x - 2*h**2*x**2 + 6*h*x**2 - 2*h*x - 3 wrt h. 402*h*x - 4*x**2 What is the third derivative of 2*d*g**3*m*u**3 + d*g*u**3 - d*m*u + g**3*m*u**2 + 26*g**3*u**3 + 6*g**2*m + 3*g**2*u**2 wrt u? 12*d*g**3*m + 6*d*g + 156*g**3 Find the second derivative of a*d**3*g - 15*a*d**2*g*o - 5*a*d*g + a*d*o + 5*d**3*g*o + 27*d*g*o wrt d. 6*a*d*g - 30*a*g*o + 30*d*g*o Differentiate -6076*f**2 + 8647 wrt f. -12152*f Differentiate 250*b*i**3 + 57*i**3 with respect to b. 250*i**3 What is the second derivative of 3*a**3 - 65*a**2*c + 2*a*c - a + 1 wrt a? 18*a - 130*c What is the second derivative of -426*k**2*s**2 - 2*k**2*s + 33*k**2 + 3 wrt s? -852*k**2 What is the third derivative of -430*v**5 + 784*v**2? -25800*v**2 Find the second derivative of -2*a*d**3*x**3 - 2*a*d**3*x**2 - 22*a*d**3*x - 8*a*d**3 - 8*x**3 wrt x. -12*a*d**3*x - 4*a*d**3 - 48*x What is the first derivative of 53*d**2*k**2 + 2*d*k**2 + 2741*k**2 wrt d? 106*d*k**2 + 2*k**2 What is the third derivative of -123*y**5 + 966*y**2 wrt y? -7380*y**2 What is the third derivative of x*y**4 + 31*x*y**3 + 3*x*y**2 + 25*y**2 wrt y? 24*x*y + 186*x What is the second derivative of -5488*f**2 + 1498*f + 1 wrt f? -10976 Differentiate 6*h**2 + 5*h - 3207 wrt h. 12*h + 5 Differentiate -421*k*p**2 - 3*p**2 - 268*p with respect to k. -421*p**2 Find the second derivative of -3*b**5 + 401*b**4 + 38*b + 15. -60*b**3 + 4812*b**2 Find the third derivative of 11393*z**4 + 2*z**2 + 2*z - 131 wrt z. 273432*z What is the third derivative of 9*j**5*y**3 - 54*j**5*y - 7*j**2 - 1002*y**3 wrt j? 540*j**2*y**3 - 3240*j**2*y What is the third derivative of -694*g**4 + 76*g**2 wrt g? -16656*g What is the third derivative of 72*d*g**5 - 6*d*g + 3*g**5 - 26*g**2 wrt g? 4320*d*g**2 + 180*g**2 Find the second derivative of 227*n**2*t**3 + 34*n**2*t - 20*n*t**4 + 167*t wrt t. 1362*n**2*t - 240*n*t**2 What is the third derivative of -2*m**4*r + 8*m**3*r + m**3 - 13*m**2*r - 2*m**2 - 2*r wrt m? -48*m*r + 48*r + 6 What is the second derivative of 6*i*k**2*y**3 - 8*i*k**2*y + 2*i*k + 47*i*y**4 - 6*k - 3*y wrt y? 36*i*k**2*y + 564*i*y**2 What is the second derivative of 17*a**3 - 185*a**2 - 2703*a - 2 wrt a? 102*a - 370 Find the second derivative of -142*b**2*i**3 - b*i**3 + i**3 + 4 wrt b. -284*i**3 What is the second derivative of -333*c**5 - 793*c? -6660*c**3 What is the second derivative of -793*x**3 - 161*x + 4? -4758*x Find the second derivative of -14*f*j**2*x**2 + 5*f*j**2 + j**2*x**2 + j**2*x - 2*j**2 + 7*j*x wrt x. -28*f*j**2 + 2*j**2 What is the second derivative of -691*x**5 - 2*x - 436 wrt x? -13820*x**3 What is the s
{ "pile_set_name": "DM Mathematics" }
6 What is 14 + 5 + -1 - ((-197 - -205) + 2 + -16)? 24 53 - ((-289 - -316) + (-10 - 0)) 36 Evaluate 1 + -11 + 5 + 75 + -4 + 4 + 6. 76 Evaluate -21 + (21 + -14 - 17) + 21. -10 Evaluate (4 - 42 - -73) + -107 + -17. -89 Calculate 18 - 55 - -69 - 29. 3 Calculate (45 - 19 - 3) + (2 - (-4 + 1)) - -3. 31 Evaluate 11 - (-28 + 2 - -26). 11 -12 - (196 + -121 - ((1 - 2) + 4)) -84 What is the value of 35 + (-81 - -47) + 18? 19 What is the value of (-2 - 9 - -65 - -24) + -3 - -17? 92 Calculate (-7 - -17) + 31 + -12 + -15. 14 Calculate 156 - (-4 + 10) - (153 - 109). 106 What is -12 + -2 - (-13 + 14) - 3? -18 -5 + -10 + -6 + 9 + 6 + 7 1 -17 + (-36 - (-11 - 16)) -26 Calculate -54 + -20 + 166 + -54. 38 What is 19 + (10 - (-2 + 28 + 0))? 3 Evaluate 15 + (19 - 95 - 21) + 12 - 18. -88 Evaluate 126 - (75 + (-52 - -26)). 77 Calculate -3979 + 3997 - (-3 - 36). 57 Calculate 28 + (9 - 24) - (77 - (-7 + 2)). -69 What is -3 + (34 + -42 - -13) + (-9 - 2)? -9 What is 0 + 71 + (126 - (2 - -158))? 37 Calculate -5 + 6 + (-9 + (-25 - -31) - -20). 18 (0 - -14) + (-3 + 29 - 30) - 19 - 52 -61 Evaluate (-52 + 3 - (-125 - -45 - -100)) + (-14 - 0). -83 Calculate (435 - 224 - 221) + -1 + 28. 17 What is the value of 14 + (12 - (-48 - (7 - 22)))? 59 What is (-22 + 26 - 18) + 33? 19 What is the value of -4 + 2 + (-43 + 52 - 16) - -78? 69 What is the value of -15 + (-71 - 4) + -20 + 34? -76 Evaluate (-13 + 91 - -11) + -3 + 0. 86 Evaluate 2 + (2 + 1 - (-48 - -41)). 12 What is -12 - 9 - (2 - 7) - (15 - (-16 + 30))? -17 Calculate (-13 - -25 - -18) + (5 - 5 - -12). 42 What is 72 + -60 - (61 - 17)? -32 Calculate 81 - (120 - 46 - -117). -110 Calculate -623 - -713 - (-4 + 68). 26 Evaluate (-19 - (-52 - 2)) + -91 + -12. -68 What is the value of 28 + (56 - 38 - 27) + -5? 14 26 + (14 - (-1 + 14)) - (-1 + -5) 33 -33 + -6 + -7 + -6 + 33 -19 Calculate -56 + (41 - 6) + -8. -29 (-51 - (8 + -18)) + 9 + -83 + 62 -53 Evaluate -15 + (3 - 1) - (40 - (21 + -40 + -32)). -104 Evaluate 5 - -1 - (12882 + -12934). 58 What is the value of 4 + (-11 + 8 - -1 - -9) - 7 - -20? 24 Evaluate -9167 + 9198 + -2 + -1 + -160. -132 What is 5 + 11 - (-33 - (3 + 16 + -23))? 45 What is -29 + 71 + (-45 - 28)? -31 Evaluate ((-1 - -11) + 3 - (22 + -5)) + (3 - 1). -2 Calculate 1 + (-68 - -12) + (1 - (4 - 0)) - -15. -43 What is 9 - (88 + (5 - -18) + -51)? -51 What is -62 - (3 - (2 - -1) - (-327 - -321))? -68 Evaluate 9 + 2 + -32 + 30 + 53 - 1. 61 What is -480 + -121 - -591 - (-35 - (0 - -1 - 0))? 26 Evaluate 10 + (53 - (14 + 8 + -11 + -4)). 56 What is the value of -26 - -19 - (0 - (3 + (4 - 15)))? -15 What is 44 - (-19 + -145 + 72)? 136 What is (11 - 4) + 18 - 1 - 6? 18 Calculate -25 + -24 + 115 + -129. -63 2 + (0 - -2) - (-17 - (-60 - -13)) -26 What is the value of (-346 - -63) + 264 + 97 + 0? 78 6 + -5 - (-10 - -9) - (-1 - -14) - -8 -3 What is the value of (1 - (-1 - 3)) + -11 - (7 - (37 - 15))? 9 What is the value of 23 + -16 + 51 + (10 - (-2 + 31))? 39 -406 - -389 - (1 - 36) 18 What is (26 - 8) + -308 + 398 + (-15 - (0 + 0))? 93 Calculate 1 - -46 - (104 + -82). 25 Calculate (-13 + -1 - -65) + -55. -4 Evaluate (34 - 76 - -52) + -55. -45 Calculate -259 + 239 - (40 + 2). -62 Evaluate 16 + 12 - (3 + -24) - 25. 24 What is -27 + 27 - (3 + -63)? 60 What is -24 - (-22 - (-26 - (-22 - -35)))? -41 What is the value of 8 - ((26 - (41 - 21)) + 48 + -1) - -3? -42 Calculate -35 + (3 - (-10 - 7)) + -13. -28 (-1 - -12) + 54 + -49 + -38 + 18 -4 Evaluate -59 + 41 + 47 + 54 + -1. 82 (14 - 0) + (103 - (113 + -2)) 6 Calculate -10 + (2 - -1) + (-15 - 16 - -14) + 12. -12 Calculate 4 - -25 - (121 - 72 - -5). -25 Evaluate 3 + -37 - (21 + (-32 - -26 - 21)). -28 Calculate 29 - (15 + 19) - (4 + 3). -12 What is the value of 722 + -885 + (8 - (-42 - -9))? -122 Evaluate (-41 - -45) + -39 + -5 + -4. -44 Calculate 3 + (26 - 100 - ((-1 - 9) + -4)). -57 7 + (4 - (5 + -2 - 0)) - (165 + -161) 4 Calculate 75 + 1 - (282 - (-112 - -352)). 34 -59 - (-17 - 9) - -85 52 Evaluate (23 - -5) + -13 + 70 - -9 - (1 + 5). 88 What is the value of (19 - 37) + 1 + 19 + 21? 23 What is -28 - (1 - (15 - 0 - 6))? -20 (-13 + (-1 - -1) - -3) + (160 - 87 - 66) -3 What is -17 + -9 - -86 - (8 + -7)? 59 Calculate -23 + 20 + (-14 - (26 - 17)). -26 -1 - (40 + 3 - 28 - (0 - -2 - -2)) -12 What is the value of 18 + -17 - (165 - 181)? 17 -87 + 40 + 33 - -1 -13 -7 + -42 - ((12 - 15) + -13) -33 What is (10 + 17 - (3 - 0)) + (29 - 15)? 38 What is 6 + -15 - (18 + (-21 - (51 + 20)))? 65 Evaluate -1286 + 1274 - (-116 - -7). 97 What is the value of (-71 - -35) + 7 + 21? -8 (17 + -105 - 7 - -3) + 20 - (1 - 8) -65 What is 1 + -13 + (1327 - 1369) + -1 + 8? -47 What is the value of -150 - -72 - -100 - (7 - 0)? 15 What is -9 + -3 + 7 + (-2 - (-14 + 7))? 0 What is -18 + -2 + 0 - (3223 + -3212)? -31 What is the value of (50 - -191) + -147 - (45 - -2)? 47 Calculate -100 + -6 - (-21 + 0) - (1 - 1 - 1). -84 Evaluate 10 + -11 + 0 + 6 + -4 + 37. 38 Evaluate (1119 - 938) + -129 + -2. 50 What is the value of 25 + 7 + (-40 - -16) + 11? 19 Calculate -43 - -14 - (6 - 4 - -1 - -8). -40 Calculate -1 + -40 - (4 + (-5 - -39 - 34)). -45 What is the value of -8 - ((2 - ((-3 - 3) + 15)) + 61)? -62 Evaluate -3 + -27 + 491 + -460. 1 Evaluate 14 + -16 + 19 + (-47 - 24). -54 What is 84 + -33 - 32 - (8 + 2)? 9 What is the value of 4 - 38 - -3 - (-7 - (-20 + 20 + -9))? -33 Evaluate 3 + 4 + -2 + 16 + -11 + -17. -7 Calculate (45 - (-10 + 12)) + -3. 40 79 + (88 + -103 - 34) 30 What is (3 - 54 - 0) + 2 + -39 + 31? -57 Calculate 8 + 2 - ((-33 - 33) + 83) - -70. 63 Calculate (3 - (7 + -1)) + ((-6 - -10) + -5 - -24). 20 Evaluate 9 - (196 + -186 - (-29 + 1)). -29 -5915 + 5916 + (-2 - (-2 - -55)) -54 Calculate -27 + (63 - 120) - -19. -65 Calculate (1 - 0) + 9 + -2876 + 2855 - 11. -22 What is -51 + -1 + (21 - -5) - (0 + (1 - 0))? -27 (3 + -13 - (-20 + (-10 - -27))) + 33 26 What is -77 + (-16 - (28 - (85 - 31)))? -67 Evaluate (-44 - 0) + 2190 + -2111. 35 Calculate -1 - (15 + 33 + -28 - 21). 0 What is -13 + -45 + 41 + 22? 5 What is -329 + 215 + -22 + (0 - 5)? -141 Evaluate 0 - -10 - (2428 - 2444). 26 7 + 3 - (20 - (-19 + 38)) - 52 -43 What is (129 - 270 - -120) + -75? -96 Evaluate 31173 + -31180 + (-1 - -2 - (5 + 1)) + 97. 85 What is (5 - (10 + -6)) + -13 + (-5 - -26)? 9 What is the value of (18 - -21) + 11 + -5? 45 What is the value of 46 + -40 - (-31 + 0 - (-3 - -3))? 37 Calculate -20 + 44 + -12 + -50. -38 1 + (16 - (5 + (-4 - 6) + 19 + -11)) 14 Calculate 7 + 45 + -43 - -31. 40 Calculate -77 - ((8 - 13) + (-16 - -14 - 14)). -56 Calculate (9 + 13 - -6) + -12 + -54. -38 (6 - -5) + -2 - (-14 + 31 + -5) -3 What is 9 + -5 + (38 - (-16 - (-8 + -13)))? 37 What is the value of 7 + 27 - (101 + 0 + 14)? -81 8 - ((-7 - 33) + 29) - -25 44 (-11 - -18 - (51 - 8)) + -7 -43 Evaluate 35 - (99 - 14) - (-4 + (-2 - (2 - -3))). -39 Evaluate 18 - (46 - 23 - 16) - 11. 0 What is the value of 37 + (-8 - -20) + (-7 - -9)? 51 What is the value of -6 + 11 - ((-3 - 8 - -1) + (20 - 2))? -3 Evaluate -50 - -8 - (22 + -7 + 17 + -16). -58 What is the value of 3 + (-2 - -3 - (1 + -3 - 9)) + -12? 3 What is 72 + -53 + 15 + -78? -44 Calculate (-163 - -187 - (63 - -1)) + (3 - 1). -38 What is the value of -51 - (3 + -6 + 5) - (54 + -60)? -47 -94 + (-11 - 2) + 48 -59 -19 + 11 + (-65 - (-22 + -15)) -36 What is the value of -27 + (20 + 2 - 7) + -20? -32 Evaluate -20 + (121 - (27 + -23 - -9)) + 18. 106 Calculate 77 - (-46 + 88) - (24 + -26). 37 What is 43 + 14 - 188 - -81? -50 Evaluate (4 + -8 - -2) + (-15 - 101 - (-27 - -4)). -95 Evaluate 4 + -23 + (15 - (-7 + 88 + 11)). -96 What is the value of (-2 - (1 + (6 - 0))) + 2276 + -2287? -20 What is the value of 1 + 8 + -41 + 146 + -110? 4 Evaluate -26 - -6 - (-43 - (16 - 62)). -23 What is the value of 55 - 26 - (77 + -57)? 9 What is -4 - (-42 + (2 - -25)) - 79? -68 What is the value of -4 - 4 - (-118 - -132 - (3 - 3))? -22 13 + -16 + -17 - -29 - 24 -15 15 + -1 + (14 + -2 - ((13 - -20) + -23)) 16 What is 37 + (-9 - 0 - (-325 - -353))? 0 40 - (3 - 10 - (-7 - (-3 - 6))) 49 What is (16 + -51 - -30) + (3 - 1 - 8)? -11 What is (558 - 389) + (-2 - 71)? 96 What is the value of (-15 - ((20 - 0) + 159 + -231)) + -7 + -1? 29 Evaluate (1241 - 1288) + 2 + 38. -7 Evaluate (0 - 3) + (48 - (-26 + 49) - -54). 76 What is the value of 14 + -12 + (1 + 9 -
{ "pile_set_name": "DM Mathematics" }
2*b**2 + 2*b + 3*b**2 - 2 + 2*b**2 - 5*b - b**3. Let k(h) = -h**3 + h**2. Suppose -100 + 88 = -4*i. Give i*k(z) - f(z). -2*z**3 + 3*z + 2 Let g = 10 + -9. Suppose -k + 0*k - g = 0. Let x(l) = l**2 - l + 1. Let d(n) = 4*n**2 - 3*n + 5. Give k*d(f) + 5*x(f). f**2 - 2*f Let f(v) = 9*v + 7 + 2*v - 3*v + 3*v**2 - 4*v. Let q(l) = l**2 - 3 + 0*l + l + 0 + 5. Determine 2*f(s) - 7*q(s). -s**2 + s Let g(q) = 2*q - 5*q + 1 + 2*q. Let f = -4 + 3. Let z(b) = 8*b - 8. Give f*z(r) - 6*g(r). -2*r + 2 Let q(y) = 12*y + 1. Let r(c) = c - 1. What is -3*q(w) - 3*r(w)? -39*w Let a(p) = -15*p**2 - 11. Suppose 0*i + 3*i + 24 = -5*k, 4*i = 5*k - 67. Let o(t) = -7*t**2 - 5. Calculate i*o(s) + 6*a(s). s**2 - 1 Let t(v) = -44*v**3 - 16. Let o(d) = 9*d**3 + 3. What is 16*o(u) + 3*t(u)? 12*u**3 Let u(d) = 7*d**2 - 7*d + 7. Let a be 1 - 1/(1/(-1)). Suppose 0 = -g - 7 + a. Let v(b) = -8*b**2 + 8*b - 8. Calculate g*v(z) - 6*u(z). -2*z**2 + 2*z - 2 Let c(s) = 3*s + 2. Let r = -25 - -36. Let x(o) = -r - 16*o + 1 - 1. Determine 11*c(q) + 2*x(q). q Let i(n) = -7*n - 1. Let s = 66 - 62. Let x(m) = -6*m - 1. Determine s*i(h) - 5*x(h). 2*h + 1 Suppose -3 = -4*b + 1. Let k(m) = m**3 + m**2 - m + 1. Let v(o) be the second derivative of -3*o**5/20 - o**4/3 + o**3/3 - 3*o**2/2 + 4*o. Give b*v(s) + 4*k(s). s**3 - 2*s + 1 Let r(u) = 2*u + 4. Let n be r(-4). Let o(b) = b + 2. Let w(q) = q + 2. Give n*o(s) + 3*w(s). -s - 2 Let w(p) = p**2. Let i(x) = -2*x**3 + 2*x**2 + 19. What is -i(t) + 2*w(t)? 2*t**3 - 19 Let j(q) = -4*q**2 - 2*q. Suppose 0 = 3*r - 5*g + 2 + 3, -5*r + g = -21. Let h be (-4 + r)*4/(-2). Let z(y) = -5*y**2 - 3*y. Determine h*z(v) + 3*j(v). -2*v**2 Let w be 9/9*(0 + -1). Let p(d) be the second derivative of -d**5/4 - d**4/6 - d**3/3 - 2*d**2 + 5*d. Let c(y) = -y**3 - y - 1. Calculate w*p(k) + 4*c(k). k**3 + 2*k**2 - 2*k Let o(z) = -6*z - 21. Let x(t) = t + 4. Let a(b) = -b**2 + 6*b - 7. Let i be a(3). Let n(k) = i*o(k) + 11*x(k). Let q(f) = -f + 3. What is -5*n(v) + 4*q(v)? v + 2 Let p(z) = z**2 + 1. Let x(w) = 6*w**3 + 4*w**2 - 2*w + 2. Calculate 2*p(f) - x(f). -6*f**3 - 2*f**2 + 2*f Let g(i) = -23*i**2 - 3. Let s(f) = 11*f**2 + 2. What is -4*g(d) - 7*s(d)? 15*d**2 - 2 Let u(j) = 25*j**2 + 2*j - 5. Let o(m) = -m**2 - m + 1. Determine -4*o(s) - u(s). -21*s**2 + 2*s + 1 Let r(p) = -10*p - 21. Let y(s) = 3*s + 7. Suppose -31 = o - 5*n - 8, 3*o - n = 1. Let x(z) = o*r(z) + 7*y(z). Let v(j) = -1. Determine -6*v(i) - x(i). -i - 1 Let l(m) = m**3 - 3*m**2 + m - 1. Let u be l(3). Let c(d) = -1. Let g(k) = 2*k - 3. Let x(i) = -i. Let t be x(1). What is t*g(s) + u*c(s)? -2*s + 1 Let m(x) = -11*x**2 + 7*x + 31. Let g(i) = -5*i**2 + 3*i + 16. Give 7*g(k) - 3*m(k). -2*k**2 + 19 Let b(a) = 8*a. Let g(t) = 15*t. Give 5*b(u) - 3*g(u). -5*u Let l = 3 - 2. Let m(i) = -3*i**3 - 2*i**2 - 4*i + 2. Let s(c) = -c**3 - c + 1. Calculate l*m(a) - 4*s(a). a**3 - 2*a**2 - 2 Let p(n) = n**2. Let f(y) = y**2 - 3*y. Suppose 19*d + 7 + 12 = 0. Determine d*p(i) - f(i). -2*i**2 + 3*i Let o(w) = -1. Let c(n) = 0 + 7 - 6*n + 1 - 1. Let j(g) = -g + 1. Let i(f) = -c(f) + 4*j(f). Determine i(t) - 3*o(t). 2*t Suppose 0 = -5*b - 12 + 27. Let m(p) = -4*p + 3. Let q(n) = -2*n + 2. What is b*m(f) - 5*q(f)? -2*f - 1 Let d(b) be the second derivative of 3*b**5/20 - 2*b**3/3 + 2*b**2 + 6*b. Let f(x) = 3*x**3 - 3*x + 3. What is -3*d(s) + 4*f(s)? 3*s**3 Let k(c) = 3*c**2 + 10*c + 2. Let j(t) = 4*t**2 + 11*t + 2. Give -4*j(o) + 5*k(o). -o**2 + 6*o + 2 Let p(i) = -13*i**3 + 2*i**2 - 2*i - 2. Let b(c) = 27*c**3 - 5*c**2 + 5*c + 5. Determine 2*b(q) + 5*p(q). -11*q**3 Let k(g) = g**3 + g**2 - g**3 + g**3 + 1 - g. Let y(b) = 2*b**3 + 4*b**2 - 4*b + 4. Let q be 3/5 + (-12)/(-30). Determine q*y(h) - 4*k(h). -2*h**3 Let y(t) = -18*t**3 - 12*t - 12. Let x(o) = o**3 + o + 1. Let v(d) = d**2 + 13*d + 1. Let z be v(-13). Give z*y(u) + 12*x(u). -6*u**3 Let m(n) = -13*n + 7. Let x(b) = -6*b + 3. Let r(k) = 3*m(k) - 7*x(k). Let f(i) = 8*i. Let h(l) = -2*l**2 + 7*l + 1. Let o be h(5). Determine o*r(w) + 5*f(w). -2*w Suppose 0 = 5*i - 2 - 8. Suppose -i*j - 21 = -5*j. Let v(o) = 6*o**2 + 3*o + 3. Let z(f) = 4*f**2 + 2*f + 2. Calculate j*z(t) - 5*v(t). -2*t**2 - t - 1 Suppose -8*k = 16 - 72. Let g(o) = -2*o**3 + 3*o**2 + 4*o. Let d(j) = -3*j**3 + 5*j**2 + 7*j. Determine k*g(u) - 4*d(u). -2*u**3 + u**2 Let i(n) = n + 1. Let q(f) = -5*f - 7. Calculate -35*i(d) - 5*q(d). -10*d Let j(m) = -2*m**3 - m + 1. Let d(r) be the first derivative of -1/2*r**2 - 1 - 1/2*r**4 + 2*r + 0*r**3. Let l be 1 + -5 - 2/(-1). Determine l*d(g) + 3*j(g). -2*g**3 - g - 1 Let f(g) = -35*g - 5. Let r(q) = -9*q - 1. Give -4*f(l) + 15*r(l). 5*l + 5 Let l(q) = -6*q**3 + 7*q**2 - 89*q. Let f(n) = -4*n**3 + 5*n**2 - 59*n. Give -7*f(t) + 5*l(t). -2*t**3 - 32*t Suppose 8 = 3*z - 1. Let m(g) = 15*g**3 - 13 - 8*g - 2*g + 17*g**2 - z*g. Let v(f) = -7*f**3 - 8*f**2 + 6*f + 6. Give -6*m(p) - 13*v(p). p**3 + 2*p**2 Let j(s) = 6*s**3 + 5*s**2 + 4*s - 5. Let r(y) = 9*y**3 + 8*y**2 + 6*y - 8. What is -8*j(o) + 5*r(o)? -3*o**3 - 2*o Let p(d) = 40*d**2 - 8*d. Let g(h) = -13*h**2 + 3*h. Calculate 8*g(a) + 3*p(a). 16*a**2 Let n(h) = 4*h**3 - 10*h**2 + h - 9. Let q(c) = 9*c**3 - 21*c**2 + 2*c - 19. What is 13*n(y) - 6*q(y)? -2*y**3 - 4*y**2 + y - 3 Let r(a) = a**2 + a - 1. Let f(n) = 3*n**2 + 5*n - 4. Let o = -170 - -174. Calculate o*r(j) - f(j). j**2 - j Let h(l) = l**3 + 13*l**2 - l - 2. Let j be h(-13). Let f(z) = 5*z - 11. Let w(n) = 2*n - 4. Determine j*w(p) - 4*f(p). 2*p Let i(k) = 6*k**3 - 5*k**2 - 5*k - 7. Let o(z) = -4*z**3 + 6*z + 0 + 17*z**2 - 3*z**3 + 8 - 11*z**2. Suppose -d - 3*d = -20. Calculate d*o(w) + 6*i(w). w**3 - 2 Let a(i) = -3*i**2 + 2*i**2 - i**2. Suppose 12 = -3*u - 4*y, 3*u = 3*y - 16 - 17. Let s = -5 - u. Let b(w) = -2*w**2. Give s*b(h) - 4*a(h). 2*h**2 Let o(m) = -24 - m + 12 + 14. Let y(t) = 3*t - 7. What is 21*o(k) + 6*y(k)? -3*k Let q(a) = 3*a - 25 + 9 + 6 + 4. Let y(h) = -8*h + 17. Determine -17*q(p) - 6*y(p). -3*p Let b(y) = -y**3 + 1. Let u(h) = -4*h**3 - h - 1. Determine -b(d) - u(d). 5*d**3 + d Let s(w) be the third derivative of -w**4/6 - w**3/3 - 6*w**2. Let o(x) = -2*x - 1. Calculate 5*o(t) - 2*s(t). -2*t - 1 Let w(n) = -n**2 + 3*n + 3. Let g = 39 - 41. Let s(m) = -m**2 + m + 1. Give g*w(p) + 6*s(p). -4*p**2 Let r be -9 - (1 + -5)/2. Let j(v) = 9*v**3 + 7*v - 7. Let q(o) = -4*o**3 - o**3 - 4*o + 7 - 3. Calculate r*q(w) - 4*j(w). -w**3 Let f(h) = -3*h + 6. Let g(o) = -6*o + 13. Give 7*f(u) - 3*g(u). -3*u + 3 Let x(h) = -2*h**3 + h**2 + 3*h + 3. Let a(s) = -s**3 + s + 1. Suppose -d = -3*k + 49, 56 = 2*k + 8*d - 4*d. Suppose -3*v + 0 = -k. Calculate v*a(c) - 2*x(c). -2*c**3 - 2*c**2 Let a(i) = -i. Let x(r) = 11*r - 4. Let t(o) = 6*a(o) + x(o). Let y(m) = -6*m + 5. Give -4*t(f) - 3*y(f). -2*f + 1 Let c(n) = 10*n - 5. Let q(z) = -5*z + 2. Suppose -3*f - 5*k - 5 = 0, -4*k = -2*f - k - 16. Give f*q(m) - 2*c(m). 5*m Let z(a) = 16*a**2 + a + 2. Let s(c) = 47*c**2 + 2*c + 5. Calculate 3*s(t) - 8*z(t). 13*t**2 - 2*t - 1 Let m(f) = f**2 - 2*f + 2. Suppose 3*y = x + y - 10, -5*x = -2*y - 18. Let q(a) = 7*a - 7 + 2*a**x - 8*a**2 + a**2 + a**2. What is 7*m(w) + 2*q(w)? -w**2 Suppose i + 5*f = 8, i + 6 = -i + f. Let s(r) = 5*r + 5. Let l(a) = -3*a - 2. Give i*s(d) - 5*l(d). 5*d Let v(r) = -5*r**3 - 2*r**2 - r - 2. Let k(t) = 21*t**3 + 3*t + 0*t**2 + 2*t + 9 + 9*t**2. Give 2*k(h) + 9*v(h). -3*h**3 + h Let j(g) = g**2. Let m(h) be the third derivative of h**5/60 + 14*h**2. Determine -j(b) + 2*m(b). b**2 Let g(o) = -6*o**2 - 8*o - 2. Let t be 2*(-3 + 1 + -2). Let x(a) be the third derivative of a**5/30 + a**4/8 + a**3/6 + a**2. What is t*x(w) - 3*g(w)? 2*w**2 - 2 Let w(o) = -3*o**3 + 2*o**2 - 2*o + 2. Let f(p) = -10*p**3 + 7*p**2 - 7*p + 7. Calculate 4*f(c) - 14*w(c). 2*c**3 Let h(u) be the third derivative of -u**5/10 - 8*u**3/3 + 20*u**2. Let r(s) = 2*s**2 + 5. Determine 3*h(v) + 10*r(v). 2*v**2 + 2 Let u(x) = -x**3 + x. Let a(s) = 8*s**3 + s**2 - 3*s. What is a(t) + 5*u(t)? 3*t**3 + t**2 + 2*t Let n(b) = b**2 - 2 + 4 - 3. Suppose 5*t - 2*t = -54. Let j(v) = 10*v**2 - 9. Give t*n(g) + 2*j(g). 2*g**2 Let c(h) = 14*h + 11. Let f(t) = -2 + 3*t - 4 + 8. Determine 2*c(d) - 11*f(d). -5*d Let y(d) be the first derivative of 3*d**4/4 + d**2 - 3*d - 2. Suppose -3*q + 4 =
{ "pile_set_name": "DM Mathematics" }
= -8*g + 10. Let a(v) = -7*v + 9. Let h(n) = -7*a(n) + 6*d(n). Determine 2*h(s) - 3*l(s). 2*s Suppose -13 = -3*x - 2*j, 3*j = 5*x - 2*j - 30. Let f(r) = -r**3 + r**2 + r - 1. Let p(y) = 4*y**3 - 7*y**2 - 7*y + 5. Give x*f(g) + p(g). -g**3 - 2*g**2 - 2*g Let m(n) = n**3 + n**2 - 3*n + 4. Let i(x) be the first derivative of x**4/4 + x**3/3 - 5*x**2/2 + 8*x - 30. What is 3*i(u) - 5*m(u)? -2*u**3 - 2*u**2 + 4 Let k(o) = -6*o**2 - 6*o - 3. Suppose 0 = v + 2*v + 21. Let c(u) = 0 + 2 + 0 + 4*u + 0*u**2 + 4*u**2. Determine v*c(i) - 5*k(i). 2*i**2 + 2*i + 1 Let g(c) = 4*c - 25. Let p(r) = -3*r + 24. What is 4*g(q) + 5*p(q)? q + 20 Let u(j) = j**2 - 2*j. Let z(m) = -m**2 - 3*m. Let p(s) = -s**2 - 4*s. Let h(y) = -4*p(y) + 5*z(y). Calculate -2*h(l) - u(l). l**2 Let g(k) = k**3 - k**2 + 18*k + 3. Let p(f) = -3*f**3 + 3*f**2 - 54*f - 8. Calculate -8*g(l) - 3*p(l). l**3 - l**2 + 18*l Let u = -17 + 22. Let v(x) = -7*x**3 - 5*x**2 - 5*x + 9. Let a(c) be the first derivative of -3*c**4/4 - 2*c**3/3 - c**2 + 4*c - 1. Calculate u*a(g) - 2*v(g). -g**3 + 2 Let y(p) = -6*p**2 + 11*p + 14. Let m(i) = -4*i + 2*i**2 - 2*i + 2*i + 0*i - 5. What is 8*m(v) + 3*y(v)? -2*v**2 + v + 2 Let m(y) = -7*y**3 - 6*y**2 + 6*y - 6. Suppose -l - 2 + 5 = 0. Let k(q) = -6*q + 10*q**l + 7*q**2 - q + 7 - 2*q**3. Calculate -6*k(f) - 7*m(f). f**3 Suppose -o - 2 = -6. Let s(m) = -5 + 66*m + 2*m**2 - 77*m + 6*m**2. Let x(d) = 0 + 0 - 3*d**2 + 4*d + 2. What is o*s(h) + 11*x(h)? -h**2 + 2 Let w(l) = -52*l**3 - 65*l**2 + 65. Let j(m) = -m**3 - m**2 + 1. Give -65*j(x) + w(x). 13*x**3 Let c(f) = -4293*f + 297. Let n(p) = -29*p + 2. Give -2*c(r) + 297*n(r). -27*r Suppose 0*c = 4*d - c - 22, -5*d = 3*c - 19. Let w = d + -3. Let i(u) = -u**2 - 1 + w + 2*u - u. Let v(a) = a**3 + 3*a**2 - 3*a - 3. Determine -3*i(r) - v(r). -r**3 Let x(g) = -6*g + 11. Let b(y) = -y**3 + 2*y**2 + y. Let t be b(2). Let u(p) be the first derivative of -1 - t*p + 1/2*p**2. What is -22*u(r) - 4*x(r)? 2*r Let d(j) = -165*j**2 + 9*j + 9. Let p(a) = -41*a**2 + 2*a + 2. Give -2*d(z) + 9*p(z). -39*z**2 Let y(b) = b - 1. Let i(g) = 18*g + 18. What is -i(z) - 18*y(z)? -36*z Let w(u) = -3*u + 4*u + 7*u**2 + 0*u. Let f(p) = -2*p**2 - p - 1. Let v be f(-2). Let k(m) = -8*m**2 + 3*m + 3*m - 7*m. Give v*w(g) - 6*k(g). -g**2 - g Let f(b) = -4*b**2 + 5*b. Suppose s + 10 = 6*s. Let d be 2/1*(-1)/s. Let z(r) be the second derivative of r**4/12 - r**3/6 + 11*r. What is d*f(l) - 6*z(l)? -2*l**2 + l Suppose 5*v = 10*j - 7*j - 3, -4*j - 3*v = -33. Let t(k) = -3*k + 4*k**3 - 2*k**2 + 2*k**2. Let q(l) = 17*l**3 - 13*l. Determine j*q(u) - 26*t(u). -2*u**3 Let y(z) = 7*z**2 + z + 7. Let m(r) = r**2 + r + 1. Give -5*m(p) + y(p). 2*p**2 - 4*p + 2 Let h(z) = -3*z**3 + 3*z**2 + 14*z. Let d(c) = -2*c**3 + 2*c**2 + 9*c. Let m = -4 + 12. Calculate m*d(l) - 5*h(l). -l**3 + l**2 + 2*l Let q(x) = 12*x**2 + 2*x + 1. Let h(o) = -o**2 - o - 1. Calculate 3*h(m) + q(m). 9*m**2 - m - 2 Suppose 5*h + 72 = -3. Let k(f) = -3*f - 5. Let l(d) = d + 2. Give h*l(x) - 6*k(x). 3*x Let b(k) = -k**3 + k**2 + k. Let m = 72 + -66. Let i(c) = 3*c**3 - 2*c**2 - 2*c. Calculate m*b(a) + 3*i(a). 3*a**3 Let x(f) = -7*f. Let l(c) = 8*c - 1. Give 2*l(u) + 3*x(u). -5*u - 2 Let s(b) = 3*b**3 + 8*b + 11. Let l(n) be the third derivative of n**6/120 + n**4/8 + 2*n**3/3 + 3*n**2. Give 8*l(v) - 3*s(v). -v**3 - 1 Let x(u) = -27*u**2 + 2. Let q(d) = -d**2 + d + 1. Determine -2*q(f) + x(f). -25*f**2 - 2*f Let d(f) = -2*f**3 - 3*f**2 - 3*f - 1. Let m(n) = n**2 - 3*n - 2. Let b(s) = 4*s**2 - 10*s - 7. Let v(a) = -2*b(a) + 7*m(a). Give d(o) - 3*v(o). -2*o**3 - 1 Let h(m) = 6*m**2 - 5*m + 5. Suppose -5*p + 5*x + 25 = 0, -9 + 1 = -p + 2*x. Let o(r) = -r**2 + r - 1. Determine p*h(g) + 10*o(g). 2*g**2 Let x(y) = 27*y**3 - 5. Let w(q) = 13*q**3 - 2. Determine -5*w(g) + 2*x(g). -11*g**3 Let i(y) = -8*y - 2. Suppose q + 3*q + 3*a = 17, -4*a + 21 = 5*q. Let f(d) = 7*d + 2. Give q*f(j) + 4*i(j). 3*j + 2 Let m(r) = -23*r**2 + 7*r + 9. Let x(j) = 15*j**2 - 5*j - 6. Determine -5*m(t) - 7*x(t). 10*t**2 - 3 Let a(k) = k - 5. Let w(t) = -1. What is a(b) - 4*w(b)? b - 1 Let b(f) = -5*f - 4. Let j(o) = -11*o - 10. Let r(y) = 55*y + 51. Let t(a) = -11*j(a) - 2*r(a). What is -13*b(p) - 6*t(p)? -p + 4 Let k be (60/36)/((-1)/(-3)). Let f(q) = 3*q - 4. Let i = 21 - 15. Let s(d) = 5 - 3*d + d - 2*d. Give i*f(m) + k*s(m). -2*m + 1 Let k(a) = 41*a**2 - a - 37*a**2 + 0 + 1 + 0. Suppose 3*x = 7 + 8. Let s(z) = 7*z**2 - 2*z + 2. What is x*k(m) - 3*s(m)? -m**2 + m - 1 Let z(a) be the first derivative of a**4/4 - 5*a**3/3 - 2*a**2 - 15. Let v(h) = h**3 - 6*h**2 - 5*h. Determine 5*v(x) - 6*z(x). -x**3 - x Let i(x) = -205*x + 17. Let c(o) = -34*o + 3. Calculate 34*c(d) - 6*i(d). 74*d Suppose -2*o - 2 = 0, -i - 3*i = 5*o - 7. Let a(u) = 7*u**2 + i*u**3 + u + 6*u - u**3 - 5*u**3. Let f(y) = 4*y**3 - 10*y**2 - 10*y. Give 7*a(c) + 5*f(c). -c**3 - c**2 - c Let n(t) = t**3 - 2*t**2 + 3. Let x(p) = -4*p**3 + 7*p**2 - 11. Give -22*n(v) - 6*x(v). 2*v**3 + 2*v**2 Let f be (-1 - -2)/((-9)/27)*2. Let y(d) = -9*d - 7. Let v(i) = 10*i + 8. What is f*v(l) - 7*y(l)? 3*l + 1 Let t be 3/(2 - (-2 + 3)). Let b(j) = 2*j - 3. Let s(q) = -q + 2. What is t*b(c) + 4*s(c)? 2*c - 1 Let g(q) = -q**2 - 3*q - 14. Let x(l) = l**2 + 2*l + 13. What is 2*g(m) + 3*x(m)? m**2 + 11 Suppose -m - 10 + 2 = -3*f, 2*m + f - 12 = 0. Suppose m*r - 2 = -6. Let i(z) = z + 1. Let p(w) = -6*w - 4. Calculate r*p(v) - 4*i(v). 2*v Let j(q) = -21*q. Let r(y) = 43*y. Give 9*j(s) + 4*r(s). -17*s Let d(y) = -3*y + 2*y + 1 - y. Suppose 22 = -3*i + 5*w, -3*w + 10 = -5*i - 0*w. Let h(p) = p - i + 2*p - p. What is 2*d(f) + 3*h(f)? 2*f - 1 Let b(f) = 3*f - 8. Let d be 44/(-10) + 4/10. Let a(t) be the third derivative of t**4/24 - t**3/2 + 4*t**2. Calculate d*b(i) + 11*a(i). -i - 1 Let w(v) = 5*v**2 - 6*v - 6. Let r(k) = -4*k**2 + 5*k + 5. Let d(q) = -q**2 + 6*q + 6. Let c be d(6). What is c*r(z) + 5*w(z)? z**2 Let l(q) = q**3 + 2*q**2 + 2*q + 2. Let u(a) be the third derivative of -a**6/20 - a**5/6 - 11*a**4/24 - 11*a**3/6 - a**2 - 28. Determine -11*l(t) - 2*u(t). t**3 - 2*t**2 Let d(s) = 1. Let g(r) = -r - 7. Let y be 1/(-4) - (-24)/(-32). Let c(u) = -6*u**2 - u - 1. Let m be c(y). Calculate m*d(t) - g(t). t + 1 Let i(f) = -6*f + 6. Let w(q) = q**2 + 9*q + 7. Let h be w(-9). Let k(j) = -j**2 + 7*j + 3. Let g be k(h). Let t(m) = -g + 3 + m - 1. Determine i(r) + 4*t(r). -2*r + 2 Let y(x) = -2*x**2 + x + 8. Let j(d) = -d**3 + 2*d**2 - d - 9. Let u(q) = 5*j(q) + 6*y(q). Let k(i) = 5*i**3 + 3*i**2 - 2*i - 4. Calculate -3*k(c) - 4*u(c). 5*c**3 - c**2 + 2*c Let p(n) = -2*n + 1. Let j be 6*1*(-2)/(-6). Let v be 11/(-11) - (-1 + 2)*-3. Let d(s) = -v*s + 2*s + j*s - s. Give 3*d(l) + 2*p(l). -l + 2 Let b(f) = 2*f**3 + 5*f**2 - 7. Let c(h) = h**3 + 2*h**2 - 3. Let m be (0 - -7) + 0/(-3). What is m*c(g) - 3*b(g)? g**3 - g**2 Let s(x) = -29*x**3 - 9*x**2 - 8*x - 8. Let b(r) = -19*r**3 - 6*r**2 - 5*r - 5. Determine -8*b(g) + 5*s(g). 7*g**3 + 3*g**2 Let u(n) = 60*n**3 + 18*n. Let f(y) = -17*y**3 - 5*y. Suppose -3*v + 2 - 11 = 0, -2*v = -4*g + 26. What is g*u(c) + 18*f(c)? -6*c**3 Let v(i) = 12*i**2 - 4*i + 3. Let m(u) = -11*u**2 + 3*u - 2. Calculate 5*m(f) + 4*v(f). -7*f**2 - f + 2 Let w(g) = -g + 4. Let i(v) = v - 1. Give 4*i(q) + 2*w(q). 2*q + 4 Let d(h) be the third derivative of -h**4/6 - h**3/2 - 32*h**2. Let x(n) = -n. Determine d(z) - 2*x(z). -2*z - 3 Let u(o) = -4*o**2 + 5. Let r(d) = -5*d**2 + 6. Calculate -5*r(z) + 6*u(z). z**2 Let r(z) = z**2 - 5*z - 4. Let y be r(6). Suppose y*w - 13 - 1 = 0. Let i = 10 - w. Let x(t) = 4*t**2 - 3. Let n(b) = 3*b**2 - 2. What is i*n(h) - 2*x(h)? h**2 Let v(a) be the third derivative of -a**4/6 - a**3/3 - 32*a**2. Let u(o) = 11*o + 6. Determine -6*u(g) - 17*v(g). 2*g - 2 Let q(x) = 2*x**2 + 2*x + 3. Suppose 2*z + 38 = 4*z. Suppose -5*m = 3*l - 60 + 19, -m + z = -3*l. Let o(h) = 3*h**2 + 3*h + 5. What is m*q(y) - 6*o(y)? 2*y**2 + 2*y Let z(n) = -7*n**3 - 5*n**2 + 5*n - 4. Let y(v) = 6*v**3 + 4*v**2 - 4*v + 3. Let k be 56/11 - 5/55. Determine k*y(q) + 4*z(q). 2*q**3 - 1 Let j(l) = -l**2. Suppose 10 = 2*h, 3*o = -3*h + h + 16. Let z(v) = -v**o - 1 + 1. Determine 3*j(w) - 4*z(w). w**2 Let u(o) = -o**3 - o**2 - 1. Let a(p) = p**3 + 2*p**2 + 2. Let m(n) = -n
{ "pile_set_name": "DM Mathematics" }
-267.32461133 What is 270.738 plus 19.2? 289.938 What is 0.019007366058 plus 2? 2.019007366058 -73 - 2.424998 -75.424998 Add together -7415209 and -142. -7415351 Calculate -30 - 472900. -472930 116387 - 0.402 116386.598 -0.574 - 2645.67 -2646.244 Subtract -127979 from -1.4533. 127977.5467 Add together -0.02 and 408149. 408148.98 Calculate -0.066063 + 34. 33.933937 Add together -4537715 and -260. -4537975 What is -75598 - 426? -76024 -0.01496+-600379 -600379.01496 What is -7.720808 minus -9? 1.279192 What is -428 less than 4304? 4732 Calculate -3.2615 - -817445. 817441.7385 What is -0.01 take away 318.107? -318.117 What is -0.1 + 64800263? 64800262.9 Add together 0.07 and -9426252483. -9426252482.93 What is -1.09051 less than -20.6? -19.50949 -61597845.25+0.2 -61597845.05 What is 960809529 minus -2? 960809531 Total of 3 and -303126376. -303126373 Work out -49 - -0.0035005. -48.9964995 What is -99903.58 take away 5? -99908.58 What is 0.6 - 26147265? -26147264.4 What is 0.5 plus 43328.2075? 43328.7075 Total of 513.2 and 14.4194. 527.6194 Subtract -23.5589 from 175. 198.5589 Subtract 21.809 from -2138. -2159.809 What is 5088013 take away 2.4? 5088010.6 Calculate -1040 + -74282391. -74283431 What is -4103.85164 minus 8? -4111.85164 What is -4033.9 less than -830? 3203.9 Sum 8 and -365649. -365641 -43884 + 3.36 -43880.64 -253787 - 61600 -315387 What is 0.59 + -1.430957? -0.840957 What is 192091 less than 0.51? -192090.49 Sum 12.74374 and -8. 4.74374 Calculate -6.337 + 0.05515. -6.28185 Work out 48546816 + 0. 48546816 Total of 4 and -182864359. -182864355 2216609+-2 2216607 What is -18.101378 minus -0.05354? -18.047838 What is -137 minus 288374? -288511 Subtract -1.7365954 from -13. -11.2634046 What is -9441261 take away -48? -9441213 Total of 60.4 and -1169.5. -1109.1 Total of -70237562784 and 2. -70237562782 What is -55.673125 minus 4? -59.673125 -108626.55 + -1.097 -108627.647 Add together -791787.3559 and 0.5. -791786.8559 What is -0.1 take away 115.9148426? -116.0148426 Work out -51 - 11477.32. -11528.32 Total of -0.93492196 and 0.4. -0.53492196 Add together -25952114 and 68. -25952046 What is 0.02698665442 - -0.1? 0.12698665442 -0.1 - -442822.71 442822.61 Add -3 and 184274.836. 184271.836 Sum 2734212 and 8. 2734220 What is -2428113239 plus 2? -2428113237 What is the difference between -25714 and -39.1725? 25674.8275 Work out -3 - 282031360. -282031363 Put together 1650 and 9.621. 1659.621 Calculate -2780 + 0.08936189. -2779.91063811 Calculate 42552.65 - -178.5. 42731.15 Sum 30753 and -4.7352. 30748.2648 Work out 673178271 + 2. 673178273 Put together -2848684 and 0.027. -2848683.973 What is the distance between 27837 and -155.841? 27992.841 What is the distance between -984417 and 11.02? 984428.02 -68739412 - 0.5 -68739412.5 What is 0.074 plus 103.836? 103.91 Calculate -4747 - -15.34. -4731.66 Calculate -167.4 - -740.5605. 573.1605 Work out -0.8410205 + 0.014. -0.8270205 What is 701 plus 0.966? 701.966 Add together 0.4 and 19320463957. 19320463957.4 What is 11577788715 + -0.1? 11577788714.9 -15480 - 34.8807 -15514.8807 What is 0.032 take away -8967605? 8967605.032 What is 991224 less than -0.48? -991224.48 Add together 0.1107 and 9598942. 9598942.1107 Calculate -1.8 - -1762762.5. 1762760.7 What is 2 - 6566.944? -6564.944 What is -0.1 - 0.06999911097? -0.16999911097 Work out 383971 - 90. 383881 0.4575292 + 0.001 0.4585292 Calculate 3.53644 - 36450. -36446.46356 What is 8457 plus 32? 8489 -145029298 + -0.4 -145029298.4 Put together -42 and 10.481998. -31.518002 Add together -5419.03 and -193.1. -5612.13 -195 - -2085023 2084828 Sum -37.133 and 39883. 39845.867 What is the difference between 0.12 and -41.782? 41.902 0.09932 + 336 336.09932 Calculate -187.8 + -476086. -476273.8 Subtract 0.27 from 6497.2779. 6497.0079 What is -3929 take away 0.216? -3929.216 What is the distance between 70.907 and -0.706? 71.613 -1922060 - 2.2856 -1922062.2856 What is -278024 + 1114? -276910 What is -4.846 - 1.758095? -6.604095 Calculate -501771 - -17.2. -501753.8 Add 258875471 and 0.2. 258875471.2 What is 3506 + -1694.41? 1811.59 What is the distance between 37 and -8720434? 8720471 Sum -786.33 and 204.88. -581.45 What is 3 + -0.178057424? 2.821942576 Put together 84539002 and 26. 84539028 -31680021 + 0.53 -31680020.47 35483219 - -36 35483255 0.590503 - -9.733 10.323503 Add -10301.387 and 0.1. -10301.287 Add -34917.93 and 24. -34893.93 Calculate 958835 - -6. 958841 Add together 13435106 and -102. 13435004 Work out 13487.476 - -0.09. 13487.566 Subtract -2388.87 from -0.05. 2388.82 What is 13 take away -6.208124? 19.208124 What is the distance between 5852 and -854.73? 6706.73 Work out 162215 - 2.3552. 162212.6448 What is the distance between 838 and 1707264.6? 1706426.6 -256094984+3 -256094981 What is -1.7 - -638.851? 637.151 What is -1641618 take away -5? -1641613 What is the difference between -3.53043 and -376? 372.46957 Put together -125 and 426222. 426097 What is 0.2 + -1.7587223? -1.5587223 Put together 0.3 and -27350735. -27350734.7 Subtract -1157 from 86.147. 1243.147 Work out -18128103 + -0.6. -18128103.6 Calculate 0.4 + -0.19006408. 0.20993592 Work out -5 + -31555436. -31555441 Total of 2.872007 and 35. 37.872007 Work out 1.3 - 43.1322. -41.8322 Total of -12165131.4 and 0.8. -12165130.6 -46.67 - 694514 -694560.67 What is 29939191 plus 3? 29939194 Total of 7675664 and -2. 7675662 Subtract -15670882 from -0.3. 15670881.7 Calculate 43010 + -24.807. 42985.193 Calculate 75.73977 - 713. -637.26023 What is 8177.23 plus 0.0451? 8177.2751 What is -726638.3795 - -0.2? -726638.1795 Calculate 0.01673 - 1147. -1146.98327 Calculate 5.909529 + -0.15. 5.759529 Calculate -3 + 1790760159. 1790760156 40734.894481 - 5 40729.894481 What is 2270951 plus -0.3? 2270950.7 Add together 231 and -211.7. 19.3 1.3+-66067366 -66067364.7 Put together 104247 and -4654. 99593 -1026280 + -23 -1026303 0.051 + -808881674 -808881673.949 What is 0.044 minus -0.13288733? 0.17688733 -3.31458 - -1.3376 -1.97698 1102406280 + 0.1 1102406280.1 Work out 5 - -280897. 280902 Total of 1470 and -1.913. 1468.087 What is -96.8939 plus 171.6? 74.7061 What is -0.067907 + -392? -392.067907 What is -6146005444 less than -5? 6146005439 Work out -18.3 - -55492.66. 55474.36 What is 5.98 minus -19981? 19986.98 Subtract 11.925061 from 0.01. -11.915061 What is -0.12772 take away 142371? -142371.12772 What is -16510248798 minus -0.1? -16510248797.9 What is 0.117 take away 239.4? -239.283 Total of -46 and -127677669. -127677715 -147.28 - -0.11 -147.17 What is -1.8 - 62274660.99? -62274662.79 1.23 + 2.0028315 3.2328315 Work out 1.2002 - 2.0298. -0.8296 Put together 2 and 17.1663. 19.1663 Calculate 21177308 - 12. 21177296 What is 2.639208 + -174.8? -172.160792 What is -1.95 + -2487345? -2487346.95 -11 - -238.01437 227.01437 Total of 36.31 and -416969. -416932.69 Calculate -0.2 - 136401780. -136401780.2 What is 19 - -129806659? 129806678 Work out 1032004442 - 0.49. 1032004441.51 -3.61 + 0.0682319 -3.5417681 Put together -0.2 and 557855.929. 557855.729 Work out -0.2 - 3777904300. -3777904300.2 Subtract -57 from -19674621. -19674564 Total of 0.0189910038 and -0.2. -0.1810089962 What is -15 take away 3524820? -3524835 Work out 199641 + -33. 199608 What is the distance between -2 and -0.005342139? 1.994657861 Work out -0.1 + -40226552. -40226552.1 Add 0.42 and -40855.4208. -40855.0008 Add -0.3 and -4353333. -4353333.3 What is -117057309 less than 0.7? 117057309.7 Calculate -1 - 4015769.61. -4015770.61 -7511659 + 1 -7511658 What is 0.51585 + 66.246? 66.76185 What is 263.8 less than 0.03588? -263.76412 Calculate 0.1 - -17157003. 17157003.1 7205.7 - 0.336 7205.364 Put together 4 and -10968203. -10968199 Add 3406602138 and -0.4. 3406602137.6 Calculate 56442.8252 - 0.16. 56442.6652 -0.4+46.458286 46.058286 What is -0.015023239744 - 0.5? -0.515023239744 Calculate -3.869 + -190.483. -194.352 Add together 222.761 and 44. 266.761 Total of -85403.5059 and 6. -85397.5059 30 + -17633855 -17633825 Total of -56524 and -223715. -280239 Put together 13654135 and -4. 13654131 Calculate -207763865 - -0.5. -207763864.5 Work out 3983468 - 18.1. 3983449.9 Total of -1 and 1733560. 1733559 What is 1209.324 take away 11.5? 1197.824 Calculate 1127
{ "pile_set_name": "DM Mathematics" }
+ 4, -3*u - s - 2*s + 18 = 0. Suppose 5*l = -3*d - 2, -d - 2*l + 22 = 4*d. Which is the smallest value? (a) u (b) d (c) 4 a Let o = -0.2 + 0.5. Let r = 6 - 4. What is the smallest value in -1, r, o? -1 Let s = -7.97 - -8. Let f = 700 - 703.03. Let u = s + f. Which is the second biggest value? (a) u (b) -0.1 (c) 4 b Let p = 0.2 - -2.8. What is the third biggest value in p, -6, -3? -6 Let g(m) = -m - 3. Let n be g(-8). Let d = 2.1 + -4.1. Which is the biggest value? (a) d (b) n (c) 0 b Let f = 1.97 + -2. Let r = -0.03 - f. What is the second smallest value in -3, r, -4? -3 Suppose -36 = -4*h - 0. Let z be 1/h - 2/6. Let r = -1.21 - -0.21. Which is the biggest value? (a) -0.3 (b) z (c) r b Suppose 0 = -a - 0*a - 4*a. What is the second biggest value in -0.6, 4/5, a, 2? 4/5 Let b = -71 - -61. What is the second biggest value in 0, b, -0.4? -0.4 Let m = 2562 + -289504/113. Let r = 204/1243 + m. What is the smallest value in r, 1, 5? r Let u = 0.8 - 0.5. Let x = -2 - -3. Let b = x + 2. What is the biggest value in u, b, 0.9? b Let h = -9 - -10. Let n = -14 - -13.8. What is the third biggest value in -0.4, n, h? -0.4 Let f = -122.1 + 122. Let x = 0 - -1. Let z = 1 - x. Which is the third smallest value? (a) 1 (b) f (c) z a Let h = 2.02 - 2.4. Let d = h + 0.08. Let f be (2/4)/(1/(-10)). What is the smallest value in 0.3, f, d? f Let z be -5*(-5)/375 - 2/(-6). Which is the second smallest value? (a) z (b) 2 (c) 1/6 a Let x = 0.23 - 10.23. Let z = -13 - x. Let j = z - -3.4. Which is the biggest value? (a) j (b) 4 (c) -1 b Let v = 0.1 + -0.7. Let t = 1.1 + v. Which is the smallest value? (a) 1 (b) t (c) 3 b Let z = 0.04 + 3.96. Let p be 304/672 + (-2)/7. What is the third smallest value in p, -4, z? z Let o = 33 + -69/2. Let h = -13 + 9. What is the smallest value in h, o, -3? h Let m = 13 - 9. Let w = 11 - m. Let o = w - 2. Which is the third biggest value? (a) -0.3 (b) 3/5 (c) o a Suppose 0 = j + 3*j - 20. What is the smallest value in -0.1, 2/3, j? -0.1 Let t = -5189/21 + 247. Let l = 6 - 5. What is the smallest value in t, l, 3? t Let g(i) = -i - 2. Let v be g(0). Let a = 5.7 + -6. What is the biggest value in v, a, -3? a Let d be (-1)/(-2) - (-44)/(-8). What is the third smallest value in -0.3, -0.1, d? -0.1 Let h = -0.59 + 0.5. Let b = -3.91 + h. Let k = -16 - -11. What is the biggest value in k, b, -2/3? -2/3 Let y(x) = x + 7. Let o be y(0). Suppose 0 = -3*g + o*g. Let v be (8/3)/(2 + g). Which is the second biggest value? (a) v (b) 4 (c) -3 a Let m = -4.6 - -0.6. Suppose 2*p + 12 = -2*r, 0 = 3*p - 5*r + 2*r + 12. Which is the third biggest value? (a) p (b) m (c) 4 a Let w be 1*(2/(-4) - -1). Let m = -1.1 - -2.1. Which is the smallest value? (a) w (b) -0.3 (c) m b Let q = 0.7 + -0.4. Let l be -2 + (26/12 - 0). Which is the smallest value? (a) l (b) q (c) 4 a Let r be (-3 - -1) + 5 + (-1 - 5). Which is the second smallest value? (a) r (b) -1/8 (c) 0.4 (d) -0.2 d Let q = -12 + 22. Let g = -7 + q. Let d = 3 + -6. Which is the second smallest value? (a) g (b) d (c) -1/7 c Suppose l + 0 = -1. Let h be (14/(-3))/(l/3). Suppose -k - 3*j = -0*j + h, 4*k - 14 = 2*j. Which is the third smallest value? (a) k (b) -3/2 (c) -5 a Let w = -3/4 - -27/20. Which is the third smallest value? (a) 9 (b) -2 (c) w a Let g = -1.2 - -1. Let b = 37 + -57. Let z = 15 + b. What is the biggest value in g, z, 0.1? 0.1 Let q be (-10)/(-15)*(-5 - -3). Let n = -9 + 4. Let u be ((-2)/4 + 0)/(-1). What is the smallest value in q, n, u? n Let x = -2.7 + 3. Suppose 4*z = -1 + 9. Let m be 15/12 + -3 + z. Which is the third biggest value? (a) x (b) m (c) 1 b Let n be 9/312 + 1/8. What is the second biggest value in n, 2, -4? n Let z = 2 - 6. Let j = 8 + z. Let y = j - 4.5. What is the third smallest value in -2/3, y, -0.2? -0.2 Let q = 13/21 - 2176/3549. What is the biggest value in q, 1, -0.5? 1 Let h(l) = l**3 + 3*l**2 - 4*l - 2. Let g be h(-4). Let i be ((-10)/(-90))/(g/4). Which is the second biggest value? (a) 1 (b) 0.2 (c) i b Let f = 23 + -18. Let g = 1.08 - 0.08. What is the second smallest value in 1/5, g, f? g Let u be (-130)/52 + (3 - 0). Let b = -0.03 + 0. What is the biggest value in b, 2/5, u? u Suppose 4*b = 3*y + 19, 3*y - y - b = -11. What is the second smallest value in 2, y, 3? 2 Let s = 0 - 1. Suppose -2*y - 4 = 2*x - 0*y, 4*x = 2*y + 4. Which is the second smallest value? (a) 4 (b) s (c) x c Let f = 70 - 135/2. Let y be 26/(-8) + 2/8. Let v = 169 + -511/3. What is the smallest value in f, v, y? y Let i = 0.08 + 0.32. Let m = 6 + -5.7. Which is the third smallest value? (a) i (b) m (c) 1/9 a Let z = 49/6 + -17/2. Let b = -2.97 - 0.03. What is the third biggest value in z, -4, b? -4 Let z = 0.5 - -4.5. Let o = 8.8 + -9. What is the smallest value in o, z, 3? o Let m be (-2)/18*(5 + -6). What is the third biggest value in m, -5, 1? -5 Let y = 82 - 86. Which is the second biggest value? (a) 3/5 (b) 4 (c) y (d) 0.1 a Let c = 6.8 - 4.8. What is the third smallest value in c, -0.3, -11, -2/7? -2/7 Let k = -1.2 - -10.2. Let p = 8 - k. Which is the second biggest value? (a) 1/3 (b) 3 (c) p a Let w = -4.068 - -0.068. What is the third smallest value in -2/3, w, 3? 3 Let r be -7*(-2 + 0 - -3). Let h be -3 + r/(-6)*3. Which is the third smallest value? (a) h (b) -1/4 (c) 5 c Let f = 0.1 + 0.4. Which is the third biggest value? (a) -0.4 (b) 0 (c) f a Let t = -1037/5 + 208. Which is the biggest value? (a) 0 (b) 0.1 (c) t c Let d be (-120)/(-72) - (-1 - -3 - 0). Which is the third smallest value? (a) d (b) 1 (c) 51 c Let a = -5.8 - -5. Let k = a + 3.8. What is the second biggest value in 2, -2/9, k? 2 Let b = -8.4 + 8. Let p be (-1)/(-9) - 3/9. What is the second biggest value in b, p, 4? p Let b be 2260/12 + (-2)/3. Let g = -2153/12 + b. Let x = g + -619/76. What is the second biggest value in x, 0, -0.2? 0 Let p = -0.61 - -0.01. Let o = p - -1.6. Which is the third smallest value? (a) o (b) -1/2 (c) 0.1 a Let g = 1.62 + -1.42. Which is the smallest value? (a) -1 (b) -1/5 (c) g (d) 55 a Let s = 0.81 + 17.19. What is the third smallest value in s, 1/3, 0? s Let k = 0.7 + -4.7. Let y = k - -4. Let b = y + -0.1. What is the biggest value in -0.4, b, 3? 3 Let i = -0.26 + 4.26. What is the smallest value in -1, 3, i? -1 Let h = -0.4 - -0.9. Let k = -1 - -1.4. Let q = k - h. What is the third smallest value in 0, q, -2? 0 Let d = 73/3 - 57. Let t be 1776/(-54) + 1/3. Let w = d - t. What is the biggest value in -2, 4, w? 4 Let j = -0.21 + 3.01. Let v = j - -0.2. Which is the smallest value? (a) -2 (b) v (c) -0.3 a Let k(h) = h**2 + 2. Let u be k(0). Suppose 18 = -u*y - 118. Let d = 474/7 + y. Which is the second smallest value? (a) -4 (b) 1 (c) d c Let w = -10 - -9. Which is the third smallest value? (a) 0 (b) w (c) -0.3 a Let u = 12 - 11.7. Let q = 0.5 - u. Which is the biggest value? (a) 4 (b) q (c) 5 c Let j = 87/2 - 43. Which is the fourth biggest value? (a) j (b) -0.4 (c) -2/13 (d) -0.5 d Let o = -0.8 + -2.2. Let w = -3.4 + 3. Let t = 428/2475 + 2/225. What is the smallest value in t, w, o? o Let f = 30.1 - 33. Let o = f + 3. Let y = -20 - -19. Which is the third biggest value? (a) y (b) 0.2 (c) o a Let l(j) = 2*j + 22. Let t be l(-10). What is the biggest value in 0.2, 1/3, t? t Let m = -3.1 + 0.1. Let z = m + 3.2. What is the second smallest value in z, 0.4, 3? 0.4 Let p = -6 + 9. What is the second biggest value in -2/13, p, -4? -2/13 Let v = 16.9 + -17. What is the third smallest value in 1/9, -5, v? 1/9 Suppose -m - 6 = 4*p, 0 = 3*m - 3*p + 23 - 5. Which is the third smallest value? (a) -2/13 (b) 2/11 (c) m b Let o be (-10)/(-4)*(2 - 0). Suppose -13 = -4*z - 1. Suppose 2*t = z*q - 21, 5*t - 6 = q - 26. What is the second biggest value in t, o, -4? t Let s = -2.3 - -2.6. Which is the smallest value? (a) 0.03 (b) s (c) 0.4 a Suppose 1 = -5*n + 16. Let i = -2.5 + 3. Let x = i - 1. What is the third biggest value in 1/6, x, n? x Let m = 0 - 21. Let u = -62/3 - m. Which is the smallest value? (a) u (b) 5 (c) -1/3 c Let s be (16/(-10))/((-4)/10). Suppose 2*i - s = -0. Let x be (3/i)/((-3)/6). Which is the second smallest value? (a) x (b) -0.3 (c) -3/5 c Let p
{ "pile_set_name": "DM Mathematics" }
ve d. 344 Express 9*n + n - 7*n + (-3 + 2 - 1)*(-143 + 12*n + 143) in the form u*n + q and give u. -21 Rearrange -3*d + 3*d + d + 3*d + 0*d - 5*d + (-6 + 4 + 0)*(71*d + 3175 - 3175) to the form n*d + y and give n. -143 Express b + 5*b**2 - 2*b**2 - 8*b**2 - 4*b**3 + 2 as p + t*b + l*b**2 + m*b**3 and give p. 2 Rearrange 566 - 568 + 1238*y**2 + 780*y**2 to z*y + g*y**2 + k and give g. 2018 Rearrange -2 - 12*q - 69*q**2 + 11*q + 73*q**2 to the form h*q + x*q**2 + l and give l. -2 Rearrange (4*g - g - g)*(2 + 2 + 2 + (2 + 1 + 0)*(-9 - 26 - 5)) to the form n*g + q and give n. -228 Rearrange 685*q + 3921 - 3921 to d + u*q and give u. 685 Express 61*j + 3*j**2 - 61*j - 251 + 25 as f*j + b*j**2 + i and give b. 3 Express (l + l - l)*(-1 + 8 - 5)*(-l**3 - 2 + 2) in the form g*l**4 + a*l + h + j*l**2 + i*l**3 and give g. -2 Express (1 + 4 - 3)*(l + 0 + 0) - 60355 + 6412*l - 60352 + 120707 in the form u + v*l and give v. 6414 Express -6*b - 2*b**2 + 6*b + (-2*b + 0*b + b)*(-7*b + b + 5*b) + 0 - b**2 + 0 + 3*b as n*b**2 + f*b + u and give n. -2 Express -7*i**2 + 16*i + 18*i + 25*i - 51*i as t*i + f*i**2 + g and give t. 8 Rearrange 4*g + 3*g**2 - 4*g + (4*g - g - g)*(3*g - 6*g + g) - 5*g + 5*g + 2*g**2 + (2 + g**2 - 2)*(4 + 2 - 3) to the form x*g**2 + d + a*g and give d. 0 Rearrange -663*i - 41*i + 224*i to o*i + y and give o. -480 Express -t**2 - 391*t + 212*t - 284*t - 336*t as o + m*t + l*t**2 and give l. -1 Rearrange (-4 + 5 + 0)*(3*v + 4 - 4) + (2 - 7 + 1)*(5*v - 6*v - 5*v) to the form h + j*v and give h. 0 Express 132 - 42 + 237*d**2 - 44 - 44 in the form z + b*d**2 + p*d and give b. 237 Express 477 + 3*t - 475 + 110*t**2 - t in the form k*t + u*t**2 + d and give d. 2 Rearrange (-4 + 7 + 0)*(n + n + 0*n) + (-n - n + 4*n)*(3 - 13 - 1) + 4*n - n - 2*n to the form s*n + x and give s. -15 Express 3*f**4 - 4*f + 4*f - 1255*f**2 - 271*f**4 + 1255*f**2 + (-f**2 + 1 - 1)*(-2*f**2 + 1 - 1) as u*f**4 + w + s*f + l*f**2 + a*f**3 and give l. 0 Express (-2*f**2 - f**2 + 2*f**2)*(f - 3*f - 4*f) + (0 + 3*f**2 + 0)*(-2*f + 0*f + 0*f)*(0 + 4 + 3) in the form o + d*f**3 + y*f + i*f**2 and give d. -36 Rearrange -5 + 2 + 3 + 363*d to i + k*d and give k. 363 Rearrange -6*v**2 - 17*v**4 + 2*v**2 - 10*v**3 + 19*v**4 + 0*v**2 to l + m*v**3 + i*v + k*v**4 + r*v**2 and give r. -4 Express (6*g + 1030 - 492 - 518)*(2 + 3 - 4)*(-2 + 3 - 2) in the form h + k*g and give k. -6 Express 2*u + 129 - 5*u + 24*u + 3 - 20*u in the form f*u + h and give f. 1 Rearrange -2 - 3 + 2 + 73*p + 26*p + 56*p to g*p + j and give g. 155 Express -b**2 + 28 - 2 - 26 - 15*b in the form u*b**2 + l + o*b and give o. -15 Express (-3*r**2 + 0*r**2 + r**2)*(-2*r - 2*r + 5*r)*(-1 - 2 + 4) + 61*r**3 - 24*r**3 + 73*r**3 as d + n*r + c*r**2 + o*r**3 and give o. 108 Express 554*s**2 - 1364*s**2 + 562*s**2 as q*s**2 + j + p*s and give q. -248 Rearrange 9*y + 39*y + 2*y - 12*y - 3 to p + u*y and give p. -3 Rearrange -57*a**2 - 132*a**2 + 4*a**2 to the form j + k*a**2 + n*a and give k. -185 Rearrange -4*m + 35*m**2 - 144*m**2 + 3*m**3 + 40*m**2 + 35*m**2 + 36*m**2 to f + j*m**3 + h*m + l*m**2 and give l. 2 Express (263*x**3 + 859*x**3 + 292*x**3)*(0 + 0 - 2) as q + t*x**2 + h*x**3 + z*x and give h. -2828 Rearrange (-3951*x + 13 + 1956*x + 1962*x)*(1 - 1 + 2*x) to a*x**2 + j*x + p and give j. 26 Rearrange -2*z - 6*z - 4*z + 5 - z to the form x*z + g and give x. -13 Express 63*j + 184*j - 63*j as g + i*j and give i. 184 Rearrange b - b**2 + 32 - 25 - 39 - 39 + 3*b**2 to p*b + a*b**2 + n and give n. -71 Express 2*o**2 - 4*o**4 + 33*o - 6 - 593*o**3 - 32*o + 591*o**3 in the form t*o**4 + p*o**3 + y + g*o + j*o**2 and give y. -6 Rearrange (-z - 2*z + z)*((2 - 5 + 4)*(-2 + 4 - 1) + 2 + 3 - 3 - 91 - 88 + 159 + 2 - 2 - 2) to the form p + a*z and give a. 38 Express (6*z**2 + 4*z**2 + 8*z**2)*(14 - 9 + 11) + 0*z**2 - 4*z**2 + z**2 in the form w*z**2 + l*z + p and give w. 285 Rearrange -2*v + 69*v**4 - 97066 + 97066 + v**2 + v**3 to n*v + w*v**2 + p + o*v**3 + u*v**4 and give o. 1 Rearrange 19*d + 4 - 7*d + 5*d + 5*d to y + c*d and give c. 22 Rearrange -34*p**3 + 36*p**3 - 24*p**2 + 71*p**2 + 29 - 31 to the form m*p + n*p**3 + h + x*p**2 and give x. 47 Express -32 + 46 + i + 198 as h*i + n and give n. 212 Express (2*w**2 + 3*w - 3*w)*(2 + 1 - 1 + (-2 + 1 + 2)*(4 - 5 + 3) - 3 + 4 + 4)*(3 - 4 - 1)*(-80 + 80 + 10*w) in the form a + v*w**2 + o*w + g*w**3 and give g. -360 Rearrange 2*m - 2*m - 15934*m**2 + 16469*m**2 to the form j*m**2 + w*m + a and give w. 0 Express (-34 - 141 - 22 + (0 + 1 - 3)*(-5 - 1 + 1))*(-2*f**2 + f**2 + 0*f**2) as n*f**2 + t*f + x and give n. 187 Rearrange 0*y - 18*y - 16*y + 3*y**2 - 43*y to the form t + w*y**2 + q*y and give w. 3 Express -9 + 1 + 2*w**3 - 13 + 3*w + 6 in the form p*w**3 + x + l*w + s*w**2 and give l. 3 Rearrange 13803*n**2 - n + 4 + 74*n**4 - 13802*n**2 + 2*n**3 + 1 to the form t*n + c*n**3 + o*n**2 + s + j*n**4 and give t. -1 Express -3*d - d - 9 + 2*d + 11*d - 4*d as r + h*d and give h. 5 Express 80*d**2 - 134*d**2 - 3*d**2 - 307*d**2 as b + g*d + y*d**2 and give y. -364 Express 12*c**2 - 7*c**3 - 12*c**2 - 4*c**4 + (4*c**3 - 3*c**3 + 2*c**3)*(3*c - 3*c + 2*c) as a + x*c**4 + h*c**3 + b*c + z*c**2 and give x. 2 Rearrange k**2 - 4*k**2 + 16 - 17 + 0*k - 3*k to r + u*k**2 + z*k and give u. -3 Rearrange 214*s**2 + 266*s**2 - 39*s**2 to the form i + r*s + c*s**2 and give c. 441 Express 3*s**3 - 33*s + 2*s**2 + 34*s + s**2 + 9 - 25 + 0*s**2 as j + k*s**3 + u*s**2 + t*s and give j. -16 Rearrange u**2 + 37*u**4 + u - 21*u**4 + 3 - 3*u - 17*u**4 + u**3 to the form n*u + m*u**3 + t*u**4 + p*u**2 + k and give p. 1 Express (-249*d + 85*d - 35*d)*(-3 + 3 - 2*d) as x*d + j + q*d**2 and give q. 398 Rearrange 79 + 5*y - 2*y**2 - 15*y + 11*y + 118 to the form w + o*y + i*y**2 and give o. 1 Rearrange (-4 + 4 - 2*y**4)*(-343 + 154 - 30) to r*y**4 + f + h*y**2 + i*y + n*y**3 and give r. 438 Rearrange (286*p - 571*p + 290*p)*((-4 + 3 + 3)*(-2 + 5 - 1) + 0 - 6 - 2)*(0 + 0 - 1)*(1 + 0 - 4) to the form o*p + n and give o. -60 Rearrange 0*o + 5*o - 2*o + (-3 + 2 - 1)*(-2*o - 2*o + 3*o) - 3 + 3 + 2*o + 4 - 4 + 2*o + 365 - 158 - o - 160 to i + m*o and give i. 47 Rearrange 81*a + 6*a**3 - 81*a + (-4 + 4 + 5*a + (-2 + 1 - 1)*(-4*a + 2*a + 0*a))*(a - 5*a**2 - a) to x + f*a**3 + l*a + t*a**2 and give x. 0 Rearrange 32 + 3*l**2 - 294*l - 27 + 293*l to j + b*l**2 + a*l and give j. 5 Express (0*d + 2*d**3 + 0*d)*(65*d + 8 + 25*d - 54*d) as b*d**3 + a*d**4 + i*d**2 + l + u*d and give b. 16 Express -78*i**2 + 0*i + 0*i + 5 - 224*i**2 + (6*i**2 - i**2 - 4*i**2)*(0 + 2 - 3) + 7*i**2 - 3*i**2 - 2*i**2 in the form o*i + l*i**2 + z and give z. 5 Rearrange 4*d**2 - d**4 + 6442 - 6452 + 7*d**4 to l + x*d**4 + t*d + y*d**2 + u*d**3 and give x. 6 Rearrange (-96 + 18 - 132)*(0*d**2 + 0*d**2 - 2*d**3) to the form q + a*d**3 + z*d**2 + r*d and give a. 420 Express (3*x - 5*x + x)*(-55 + 9 - 1)*(-2*x + 3*x - 3*x) as b*x + t + a*x**2 and give a. -94 Rearrange -30 - 33 - 2*g**2 - 4*g + 86 - 24 - 20 to the form r*g + n*g**2 + d and give d. -21 Express (0*m**2 - m**2 + 5*m**2)*(3*m + m - 5*m)*(3*m + 4*m - 3*m) as q*m**4 + u*m**3 + a + l*m + d*m**2 and give q. -16 Express (0 - 2*o**2 + 0)*(7 - 4 - 1) + 2*o - 2*o + o**2 - o**2 + 0*o**2 - 3*o**2 - 14*o**2 + 25*o**2 - 13*o**2 - 51 in the form n*o**2 + m + x*o and give n. -9 Rearrange -391 - 2*r + 207 + 183 + 14*r**2 - 7*r**3 to i*r + j*r**2 + b*r**3 + o and give o. -1 Express (2 - 2 + r**2)*(4 - 1 - 1) - 3*r - 164*r**2 + 3*r - 128*r**2 + 86*r**2 in the form h*r + c + y*r**2 and give y. -204 Express (-3*j + 0*j + 5*j)*(-901 + 1739 + 2*j**2 + 3*j**3 - 876) + 4 - 4 + 3*j**4 as q + h*j**4 + r*j + z*j**3 + d*j**2 and give z. 4 Express (0 - 6*w + 3 + 4*w)*(-68 + 32 - 30) in the form s + k*w and give k. 132 Rearrange (-6 - 3 + 2)*(6*k**4 + 14*k**4 + 2*k**4) to the form z*k**2 + x*k**3 + g*k**4 + n + m*k and give x. 0 Express 1154*w + 369*w + 0*w**3 - 23*w + 466*w - 2*w**3 in the form y*w**2 + t*w + z + d*w**3 and give y. 0 Rearrange 22*n**3 + 271*n**3 + n**2 - 55 - 56 + 3*n**4 + 111 to the form o*n + q + u*n**4 + b*n**3 + l*n**2 and give b. 293 Rearrange 10*r - 4*r - 3*r + 1 + 2*r - 1 + 79*r - 39*r - 41*r + (0 + 3 - 2)*(-3*r + 0*r + r) to h + d*r and give d. 2 Rearrange (-2*m + 5 - 5)*(0 - 4 +
{ "pile_set_name": "DM Mathematics" }
)/3 Solve i**2/3 + 105*i - 642 = 0. -321, 6 Suppose 3*i**3/8 + 27*i**2/4 + 135*i/8 = 0. What is i? -15, -3, 0 Find x such that 21*x**2 - 1254*x - 360 = 0. -2/7, 60 Suppose 4*x**5 - 28*x**4 - 32*x**3 = 0. What is x? -1, 0, 8 Factor 2*f**2 + 10988*f + 15092018. 2*(f + 2747)**2 Factor -d**4 - 200*d**3. -d**3*(d + 200) Find j, given that 128*j**3/7 - 18784*j**2/21 + 235846*j/21 - 148996/21 = 0. 2/3, 193/8 Factor 2*t**5 - 1076*t**4 + 192240*t**3 - 11275200*t**2 - 23328000*t. 2*t*(t - 180)**3*(t + 2) Factor o**3/2 - 229*o**2 + 51513*o/2 + 106722. (o - 231)**2*(o + 4)/2 Factor -2*i**4/13 + 30*i**3/13 + 378*i**2/13 + 1242*i/13 + 1296/13. -2*(i - 24)*(i + 3)**3/13 Find m, given that 5*m**2 + 40*m = 0. -8, 0 Determine s so that s**5/2 + s**4/2 - 9*s**3 + 7*s**2 + 17*s/2 - 15/2 = 0. -5, -1, 1, 3 Factor 3*j**2 + 9*j. 3*j*(j + 3) Suppose -j**2/3 - 10*j/3 - 8 = 0. What is j? -6, -4 What is q in 4*q**5 - 36*q**4 + 28*q**3 + 36*q**2 - 32*q = 0? -1, 0, 1, 8 Solve -16*u**3 - 2140*u**2 - 71288*u + 17956 = 0 for u. -67, 1/4 Determine l so that -4*l**4 - 800*l**3 + 5816*l**2 + 3840*l - 62100 = 0. -207, -3, 5 Find b, given that -18769*b**2 + 274*b - 1 = 0. 1/137 Find n such that -3*n**2/5 + 204*n/5 - 396/5 = 0. 2, 66 Determine k, given that -k**2 - 13*k - 40 = 0. -8, -5 What is s in -36*s**5 - 128*s**4 + 216*s**3 + 1056*s**2 + 1132*s + 384 = 0? -32/9, -1, 3 Factor s**3/6 - 5*s**2/3 + 16*s/3 - 16/3. (s - 4)**2*(s - 2)/6 Solve s**5/3 + 32*s**4/3 + 61*s**3/3 + 10*s**2 = 0. -30, -1, 0 What is u in u**4 - 16*u**3 + 46*u**2 + 144*u + 81 = 0? -1, 9 What is s in -10*s**3/9 + 26*s**2/9 + 52*s/9 + 16/9 = 0? -1, -2/5, 4 Factor 2*x**3/3 + 164*x**2/3 + 3262*x/3 + 3100/3. 2*(x + 1)*(x + 31)*(x + 50)/3 What is v in 5*v**5 - 5*v**4 - 200*v**3 - 580*v**2 - 480*v = 0? -3, -2, 0, 8 Factor 3*u**3/4 - 2*u**2 - 3*u/4. u*(u - 3)*(3*u + 1)/4 Solve -4*b**5 + 52*b**4 - 248*b**3 + 536*b**2 - 516*b + 180 = 0. 1, 3, 5 Solve 165*q**3 - 650*q**2 - 865*q - 50 = 0. -1, -2/33, 5 Determine x, given that -x**4/4 + 3*x**3/4 + x**2 = 0. -1, 0, 4 Factor 3*c**5 + 24*c**4 - 33*c**3 - 54*c**2. 3*c**2*(c - 2)*(c + 1)*(c + 9) Find h such that h**3/6 + 4*h**2/3 - 2*h/3 - 16/3 = 0. -8, -2, 2 Suppose 2*y**4/3 + 3*y**3 - 61*y**2/3 - 12*y + 32/3 = 0. Calculate y. -8, -1, 1/2, 4 Solve -6*x**4/5 + 4*x**3 - 18*x**2/5 + 4*x/5 = 0. 0, 1/3, 1, 2 Determine c so that c**2/2 + 3*c/2 + 1 = 0. -2, -1 Factor 8*u**3/3 + 41*u**2/3 + 5*u/3. u*(u + 5)*(8*u + 1)/3 Factor -2*g**3/9 - 130*g**2/3 - 86*g - 386/9. -2*(g + 1)**2*(g + 193)/9 Let o**2 + 6*o/5 = 0. What is o? -6/5, 0 Solve 1444*q**4 - 7144*q**3/7 + 1664*q**2/7 - 128*q/7 = 0 for q. 0, 4/19, 2/7 Factor -h**3/4 - 82*h**2 - 327*h/4. -h*(h + 1)*(h + 327)/4 Find l such that 4*l**2 - 168*l - 352 = 0. -2, 44 Solve -9*s**5 + 33*s**4 + 21*s**3 - 33*s**2 - 12*s = 0. -1, -1/3, 0, 1, 4 Solve 4*p**5/5 + 2*p**4/5 - 28*p**3/5 - 38*p**2/5 - 12*p/5 = 0. -2, -1, -1/2, 0, 3 Factor j**3 - 8*j**2 - 9*j. j*(j - 9)*(j + 1) Factor 45*k**2 - 48*k + 12. 3*(3*k - 2)*(5*k - 2) Factor -t**2 + 126*t - 3969. -(t - 63)**2 Factor h**2/2 + 79*h + 6241/2. (h + 79)**2/2 Factor -t**2/8 + 61*t/4 - 3721/8. -(t - 61)**2/8 Solve 7*c**2/2 + 71*c/2 + 32 = 0 for c. -64/7, -1 Factor -81*j**3 - 522*j**2 - 1120*j - 800. -(j + 2)*(9*j + 20)**2 Find h such that -25*h**5 - 40*h**4 + 245*h**3 + 360*h**2 - 180*h = 0. -3, -2, 0, 2/5, 3 Determine z, given that -z**2/2 + 7*z/2 - 5 = 0. 2, 5 Find r such that 2*r**2/7 + 1948*r/7 - 1950/7 = 0. -975, 1 Let 4*a**3 - 512*a**2 + 21824*a - 309760 = 0. What is a? 40, 44 Let 5*h**3 - 5*h**2 - 20*h + 20 = 0. Calculate h. -2, 1, 2 Factor 5*b**2/4 + 40*b + 75. 5*(b + 2)*(b + 30)/4 Factor 3*x**3/2 + 3*x**2 - 27*x/2 - 27. 3*(x - 3)*(x + 2)*(x + 3)/2 Solve -68*w**2 + 80*w - 12 = 0. 3/17, 1 What is c in c**3 + 5*c**2 + 6*c = 0? -3, -2, 0 Factor 2*c**2/9 - 322*c + 11560/9. 2*(c - 1445)*(c - 4)/9 Factor 5*k**3/12 - 46*k**2/3 - 427*k/12 - 13/2. (k - 39)*(k + 2)*(5*k + 1)/12 Factor 3*c**3/5 - 534*c**2/5 - 1077*c/5 - 108. 3*(c - 180)*(c + 1)**2/5 Factor -u**3 + 11*u**2 - 24*u - 36. -(u - 6)**2*(u + 1) Let 770*f**4 - 1985*f**3 - 945*f**2 - 90*f = 0. What is f? -2/7, -3/22, 0, 3 What is d in -d**5 - 14*d**4 + 18*d**3 + 44*d**2 - 17*d - 30 = 0? -15, -1, 1, 2 Find b such that -b**3/2 - 31*b**2/2 - 15*b = 0. -30, -1, 0 Factor 2*n**4 - 24*n**2 - 32*n. 2*n*(n - 4)*(n + 2)**2 Determine c, given that c**5/4 - 9*c**4/2 + 35*c**3/2 - 15*c**2 - 71*c/4 + 39/2 = 0. -1, 1, 2, 3, 13 Factor -3*h**2 - 1692*h + 3396. -3*(h - 2)*(h + 566) Factor -4*p**3 + 12*p + 8. -4*(p - 2)*(p + 1)**2 Factor 2*g**2/7 + 34*g + 236/7. 2*(g + 1)*(g + 118)/7 Solve -5*f**4 + 60*f**3 - 50*f**2 - 60*f + 55 = 0 for f. -1, 1, 11 Factor -5*x**3 + 220*x**2 - 2185*x - 5290. -5*(x - 23)**2*(x + 2) Determine b, given that -2*b**2 - 84*b - 594 = 0. -33, -9 Factor 2*g**3/9 - 194*g**2 - 4688*g/3 - 28192/9. 2*(g - 881)*(g + 4)**2/9 Let -3*r**3 + 114*r**2 - 1083*r = 0. What is r? 0, 19 Factor 63*v**4/4 - 93*v**3/4 + 15*v**2/2. 3*v**2*(v - 1)*(21*v - 10)/4 Factor 2645*m**3 - 7475*m**2 - 1360*m - 60. 5*(m - 3)*(23*m + 2)**2 Determine d, given that -4*d**4 + 60*d**3 - 144*d**2 - 16*d + 192 = 0. -1, 2, 12 Factor -4*x**3/7 - 80*x**2/7 + 372*x/7 - 288/7. -4*(x - 3)*(x - 1)*(x + 24)/7 Find q such that 2*q**3/15 - 222*q**2/5 + 18592*q/5 - 55112/15 = 0. 1, 166 Solve 4*v**4 + 44*v**3 + 168*v**2 + 272*v + 160 = 0 for v. -5, -2 Factor 6*g**5/7 + 10*g**4/7 - 4*g**3/7. 2*g**3*(g + 2)*(3*g - 1)/7 Find d such that -d**5/2 - d**4 + d**3 + 4*d**2 + 7*d/2 + 1 = 0. -1, 2 Find a, given that -2*a**3/3 + 52*a**2/3 - 70*a = 0. 0, 5, 21 Let 2*o**3 + o**2/2 - 8*o - 2 = 0. What is o? -2, -1/4, 2 Suppose -r**2/3 + 8*r/3 - 5 = 0. What is r? 3, 5 Solve c**2/9 - 2*c/9 - 5/3 = 0. -3, 5 What is j in 2*j**3/5 + 72*j**2/5 - 30*j + 76/5 = 0? -38, 1 Let 2*g**3/3 + 42*g**2 + 594*g - 2178 = 0. Calculate g. -33, 3 Factor -2*a**4/3 - 34*a**3/3 - 62*a**2/3 - 10*a. -2*a*(a + 1)**2*(a + 15)/3 What is i in 3*i**3/4 + 105*i**2/4 = 0? -35, 0 Find u such that 20*u**4 + 76*u**3 - 144*u = 0. -3, -2, 0, 6/5 Determine b so that -2*b**4/3 + 4*b**3/3 + 14*b**2/3 + 8*b/3 = 0. -1, 0, 4 Factor 4*n**2 - 1576*n + 1572. 4*(n - 393)*(n - 1) Factor -p**5 - 59*p**4 - 897*p**3 + 3703*p**2 + 121670*p. -p*(p - 10)*(p + 23)**3 Suppose -2*j**4/9 - 22*j**3/3 + 70*j**2/3 - 214*j/9 + 8 = 0. Calculate j. -36, 1 What is p in 3*p**4 + 156*p**3 + 1866*p**2 - 4212*p + 2187 = 0? -27, 1 What is m in -5*m**2/6 + 2535*m/2 = 0? 0, 1521 Factor -h**2 - 8*h - 12. -(h + 2)*(h + 6) Find f, given that -2*f**4 - 520*f**3 + 1572*f**2 - 1576*f + 526 = 0. -263, 1 Factor 3*s**3 - 18*s**2 - 405*s - 1200. 3*(s - 16)*(s + 5)**2 Solve 21*y**4 - 918*y**3 - 264*y**2 = 0 for y. -2/7, 0, 44 Let -4*t**2 - 2124*t - 2120 = 0. Calculate t. -530, -1 Factor r**2/4 - 109*r/4. r*(r - 109)/4 Determine l so that -2*l**3/21 - 40*l**2/21 + 2*l = 0. -21, 0, 1 Determine c, given that -c**4/2 - c**3/3 + 14*c**2/3 + 3*c - 3/2 = 0. -3, -1, 1/3, 3 Factor -2*t**2/17 + 82*t/17 - 80/17. -2*(t - 40)*(t - 1)/17 Factor -4*g**2 + 424*g - 11236. -4*(g - 53)**2 Solve -2*g**3/11 - 498*g**2/11 + 1002*g/11 - 502/11 = 0. -251, 1 Factor -f**3/4 + 19*f**2/4 - 99*f/4 + 81/4. -(f - 9)**2*(f - 1)/4 Factor b**4/3 + 227*b**3 + 116957*b**2/3 + 115373*b + 76614. (b + 1)*(b + 2)*(b + 339)**2/3 Let 5*h**2 - 425*h - 430 = 0. What is h? -1, 86 Factor -4*l**2/9 - 14552*l/9 - 13235044/9. -4*(l + 1819)**2/9 Let -12*o**4 - 17*o**3 + 2*o**2 + 7*o = 0. Calculate o. -1, 0, 7/12 Factor -75*t**3 + 2695*t**2 + 180*t. -5*t*(t - 36)*(15*t + 1) Let 3*t**4 - 36*t**3 - 66*t**2 + 1188*t + 1215 = 0. What is t? -5, -1, 9 Suppose 4*p**4 + 20*p**3 + 20*p**2 - 20*p - 24 = 0. Calculate p. -3, -2, -1, 1 Suppose 3*f**5 - 15*f**4 - 93*f**3 - 129*f**2 - 54*f = 0. Calculate f. -2, -1, 0, 9 Factor -3*h**2 - 75*h - 468. -3*(h + 12)*(h + 13) What is u in 8*u**2 - 148*u + 624 = 0? 13/2, 12 Factor 3*x**4/8 - 9*x**3 + 33*x**2 + 252*x + 294. 3*(x - 14)**2*(x + 2)**2/8 Factor -5*w**2 + 100*w - 95. -5*(w - 19)*(w - 1) Factor 2*a**5/7 + 8*a**4/7. 2*a**4*(a + 4)/7 Factor n**4/2 - 21*n**3/2 - 69*n**2/2 - 71*n/2 - 12. (n - 24)*(n + 1)**3/2 Factor -3*p**2/5 + 99*p/5 + 324/5. -3*(p - 36)*(p + 3)/5 Factor o**3/4 + o**2/4 - 3*o. o*(o - 3)*(o + 4)/4 Let -i**4/3 + 23*i**3 + i**2/3 - 23*i = 0. Calculate i. -1, 0, 1, 69 Factor 5*a**2
{ "pile_set_name": "DM Mathematics" }
- -19204/23. Suppose 383 = 7*j + 376. Which is smaller: j or t? t Let x(p) = -p**3 - 5*p**2 + 2*p + 11. Let f be x(-5). Let y be 45/(-72)*f/(-5). Suppose -4*s + 3*u = -19, -3*s - 9 = -2*s + 2*u. Which is smaller: y or s? y Let h(i) = -97*i - 383. Let y be h(-4). Suppose 0 = -3*u + 4*q + 49, q - 84 = -3*u - 25. Is y at least u? False Let c be (3 - (-16)/1) + 4. Let k = -20 + c. Which is smaller: 20 or k? k Let b(p) = 183*p + 5944. Let l be b(-20). Is 2284 at least l? True Let z = 1597 - 68665/43. Let g = 31/86 + z. Which is smaller: -18.1 or g? -18.1 Let v be -718*(-5)/75 + 4/30. Let g be (-36)/v + (-194)/8. Which is smaller: g or -27? -27 Let r = -0.234 - -245.234. Let m = r - 394. Is m equal to 0.1? False Let d(g) = 174*g + 19. Let c be d(8). Let z = c + -119937/85. Which is smaller: z or 1? z Let m = -43 - -47. Suppose -2*s - m*g + 2 = 0, 2*s - 3*s - 5*g + 1 = 0. Let j be (-2)/12*(-315)/(-560). Which is bigger: s or j? s Let b = -58807/11 - -5346. Is b at least 7/18? False Let k = 3.2287 - 0.1367. Let w = 0.092 - k. Are -39 and w non-equal? True Let n be 28 - (-2 + 2 - -4) - 3. Suppose -n = l - 5*k, -6*k = 5*l - 7*k + 9. Is l < -166? False Suppose -8 = -k - 0*k - 2*h, 3*k - 16 = -4*h. Is k smaller than 9/650? True Suppose -3*q - 8073 = -22*n + 19*n, 0 = -4*n + q + 10761. Is n != 2690? False Let t be (-4 + 0)*(-54)/72. Suppose 2*y - 51 = -t*d - 5, 0 = -5*y + 2*d + 134. Let u be ((-1)/2)/((-6)/312). Is u at least as big as y? True Let x = 86 - 56. Let w = x - 52. Suppose 5*h - 12 = 2*r - 138, 0 = -5*h - 5*r - 105. Is w bigger than h? True Suppose -3*m + 5*v - 34 = 0, m + v - 5*v = -16. Is m smaller than -24? False Let h(z) = -z**3 + 8*z**2 - 6*z - 7. Let x be h(5). Suppose -x = -5*l + 7*l. Are l and -21 equal? False Let x = -120947 + 1568132/13. Let j = x + 321. Is -1 at least as big as j? False Let j = 959.9814 + -960. Let y = j + -0.0814. Is 0.23 less than y? False Let f = 1/6 + -11/30. Let z = 2/61381 - 6138838/22649589. Let j = 2/41 + z. Is f greater than or equal to j? True Let t be (-142)/(-252) + 2/(-7). Let a be 8/12 - 33934/2397*(-2)/(-24). Let s = a + t. Which is smaller: -1 or s? -1 Let u = -160 + 237. Suppose 2*f + 3 - 1 = 0, 3*f = 5*o + u. Which is bigger: o or 1? 1 Let p(q) = 13*q - 37. Let u be (-153)/85*(-10)/3. Let n be p(u). Are n and 41 non-equal? False Let b be (-4)/(-10) - (-555)/(-75). Let g = 4 + b. Let w be 12*g/48*-4. Do w and 3 have different values? False Suppose -32*y + 47*y = -165*y + 19080. Let t = 6 + -10. Let b be (-2)/t - 1899/(-18). Is y at most as big as b? True Suppose 0 = -l - 6*v + 4*v - 8, 20 = -4*v. Suppose 2*j + k = -3*j - l, -5*k = 2*j + 10. Suppose -2*p + 4*p - 2 = j, 5*o - 10 = -5*p. Are -3 and o unequal? True Let h(o) = 264*o + 3269. Let q be h(-61). Is -12835 equal to q? True Let r be (4304/710)/(-4) + 1. Let m = r + -6/71. Let x = 3073 - 3073. Which is greater: m or x? x Let o = -1.03275 + 0.03275. Which is greater: 261/14 or o? 261/14 Let d = -13 - -17. Suppose 4*o - 6 - 2 = 0, d*s + 4 = 2*o. Let v = -111.1 - -41.1. Which is smaller: v or s? v Let a = -447 - -229. Let h = -223 - a. Which is bigger: h or -57/13? -57/13 Let x = -23747959 - -36690594601/1545. Let c = x - 2/515. Is c smaller than -1? True Suppose -5*u - 3*m + 2*m = -297, 3*m = -u + 65. Let x = u + -62. Let q = 3/122 - 555/244. Do x and q have the same value? False Let t = -80.259 + 5.259. Is -4 <= t? False Suppose 17*w + 8 - 5 + 14 = 0. Is 3/515 equal to w? False Let u = 38 - 35. Suppose -39 = 4*d + 8*f - 3*f, f = -u. Let m = 7 + d. Is m smaller than -2/37? False Let d = 18185/308 - -16/77. Let u = 59 - d. Is -24 at most as big as u? True Suppose 2*t - y - 165 = 0, -2*t - 2*y + 194 = 26. Let v = 145 + t. Is 227 greater than or equal to v? False Let b = 9004.35 + -9004. Is b < -79? False Let v = 165 + -163. Suppose i - 4*b = 70, -2*i + v*b + 91 = -37. Is -2 less than i? True Let n = -777.39 + 781. Let h = n + -156.61. Let c = h + 162. Are -4/5 and c non-equal? True Suppose 3*z + 3*z = 0. Let d be ((-12)/(-4) - -1) + 0. Suppose -f = d*t + 11, -f + 2*f - 3*t - 10 = z. Which is smaller: 0.1 or f? 0.1 Let j = -6512 - -6576. Which is greater: j or 63? j Let s = 28 - 42. Let m be (-20)/(-6)*(-21)/s. Suppose -k + 0*k + m*g = -21, -2*g = -k + 9. Do 5 and k have the same value? False Let t(d) = 95*d + 289. Let h be t(-2). Which is bigger: h or -1? h Let x be 5 + 12844/(-364)*(-2)/(-14). Is x >= 1? False Let r be (474/(-1185))/(4/10). Which is smaller: r or -157/68? -157/68 Let s = -2 - -1. Suppose -26*a + 128 = -28*a - j, 2*a + 2*j = -124. Let d be (-2)/a*32/144. Which is smaller: d or s? s Let v = 45 - 3. Let i be (14/(-46))/(v/252). Is i at most as big as -2? False Let l be (4 + 1255/(-315))*-10. Let y = -628/1575 - l. Which is greater: y or 1? 1 Let z = -29166.8 - -29167. Which is greater: -2021 or z? z Let d be 2/(-40)*270/(-12). Suppose -2*p - 2*w = -6, -15 = -5*w - 0. Which is bigger: p or d? d Let h be ((-852)/(-1065))/((-19916)/(-10)). Is h bigger than 1? False Let z be (-8)/16 - (-14)/4. Let l(x) = -x**2 - 7*x + 5. Let o be l(-4). Let v be o/8 + (-1)/4. Is z at most as big as v? False Let r be 12/6*((-54)/12 + -3). Let k(q) = q + 3. Let s be k(-1). Suppose g - s*g - 13 = 0. Are g and r equal? False Suppose n - 13 = 4*z, 8*n - 3*n = -2*z - 1. Suppose x + 3*q - 231 = -2*x, 0 = x + 4*q - 74. Let u = x + -76. Which is smaller: n or u? n Suppose -l - 399 = 6*l. Let r be (-2 + 17/3)/((-19)/l). Let f(k) = -k**3 - 7*k**2 - 8*k. Let u be f(-6). Which is smaller: u or r? r Suppose 5*s = 2*i - 4, -3*s - 5*i - 6 = 15. Let v be (-2294)/(-93)*(-3)/s. Which is smaller: 35 or v? 35 Let m = -15412 + 21338. Which is smaller: m or 5927? m Let b = 4550 - 4552. Is 8.608 at least as big as b? True Let m = 25861 + -21542214/833. Which is smaller: 4 or m? m Suppose -33*o - 21944 - 15115 = 0. Are o and -1124 equal? False Let q = -217 + 222. Suppose -z + 148 = j, j - 152 = -2*z - q. Which is smaller: j or -1/5? -1/5 Let l(q) = 2*q + 1. Let m be l(-1). Let k(y) = -2*y**3 - 98*y**2 + 315*y + 159. Let d be k(-52). Is m != d? True Let a(b) = 182*b - 12626. Let d be a(77). Is 6934/5 at most d? True Let u = -19612/11723 - -58/617. Let c = -5 + 2. Is c >= u? False Let x be -1*(1 - (-57)/(-54)). Suppose -5*p + 2*p + 2*z = -94, 2*p + 2*z = 46. Let d = p - 27. Is d not equal to x? True Let i = 12.7 - 12.8. Let y(r) = -r**2 + 19*r + 37. Let p be y(16). Is p != i? True Let t(g) = 1094*g + 1093. Let n be t(-1). Are -2/4379 and n equal? False Let y = 279.5 - 0.5. Let m = -165 + y. Are m and 1/4 non-equal? True Let w be 74/(-1369) - (-291492)/111. Which is bigger: 2627 or w? 2627 Suppose 4*r - 28 = 32. Let v be (-1 - 1) + 33/r. Let q be (514 + -514)/(1 - (-14)/2). Which is smaller: v or q? q Let l = -3.5 - -3. Let s = 52945 + -52948.3. Is l equal to s? False Suppose 5*u - 5*a = 15, -3*u = 3*a + 18 - 9. Suppose -15*r = -12*r - 9, u = -4*z + 3*r - 1317. Which is bigger: z or -328? z Suppose -q - 2 = -3*q. Let j be (132/(-165))/((-564)/15). Is q bigger than j? True Suppose 399*k - 1355*k + 350 = -606. Let c = -6 - -4. Which is greater: c or k? k Let h be ((-3)/(-2))/(85/544). Let k be ((-6)/(-8))/((-18)/(-96)). Suppose k*g + 8 - 44 = 0. Which is smaller: h or g? g Let u be ((-11)/110*-6)/((-1640)/25). Which is bigger: 0 or u? 0 Let v = 52 + -52. Let k be (v - 4/(-6))*(-450)/(-4). Suppose -3*o + 5*c = 63, -3*c + 4*c - k = 3*o. Do 2/5 and o have the same value? False Let d = 227.331 + 0.669. Let s = d - 229. Are s and 2/11 equal? False Suppose 2*i + 2*i - 1697 = w, 0 = 5*i - 2*w - 2122. Let d be 2/3*(i/(-112) + 4). Let x = -1.4 - 0.6. Is x at most d? True Let x = -302 - -299. Let u(z) = -4*z + z**2 - 7*z + 3*z + 0*z**2 - 13. Let r be u(9). Do x and r have the same value? False Let d be (-5)/(15/(-6)) + (2 - (22 - 2461)). Which is bigger: d or 2? d Suppose 23*c - 203094 = -38328 - 1006. Is 7120 at least as big as c? True Let l(f) = 28*f - 288. Let x be l(11). Does x = 7? False Let m = -0.7 - -3.1. Let l = m + -2.75. Let q = 0.85 - l. Which is bigger: 2/3 or q? q Let t be (-4)/(-30) + 120959/20370. Which is smaller: 6 or t? 6 Let g = 64731 - 132393. Let y be g/(-147) - ((-18)/(-14) - 1). Let w be 1/(2/(-6)) - y/(-156). Is w at least as big as 2? False Let t = -2.0416 + -0.158
{ "pile_set_name": "DM Mathematics" }
-104*o + 46*o + 1288 = 103*o. Let i be 20*(4/(-10) + 0). Let j = i + 16. What is the highest common factor of o and j? 8 Let d = -4 - -19. Let x(u) = -u**2 + 19*u - 84. Let c be x(7). Suppose 9*z - 13*z + 24 = c. Calculate the greatest common divisor of d and z. 3 Let k(m) = m**2 + 23*m - 151. Let i(q) = q**2 - 8*q - 14. Let h be i(-2). Let o be k(h). Calculate the highest common factor of o and 23. 23 Suppose 847*x - 843*x = 684. Calculate the greatest common factor of 1425 and x. 57 Suppose 59 = 3*m + 35. Let j be m/(-10)*(-6 - 74). Let x = 75 - j. What is the highest common factor of x and 11? 11 Suppose 74*c - 15681 = 19*c - 3361. Calculate the highest common factor of c and 256. 32 Let z = 6109 + -6084. What is the greatest common factor of 8075 and z? 25 Let a = 43572 - 43502. Calculate the highest common factor of a and 740. 10 Let t be 14/(-21) + (-4)/(-6). Suppose t = 4*c + 3*d + 24 - 64, 3*c = -5*d + 41. Suppose p = c*p - 30. Calculate the highest common divisor of 40 and p. 5 Let y = 555 + -550. Let t be ((-3)/y)/((-52)/2600). What is the greatest common factor of 27 and t? 3 Suppose -8996 = -93*w + 273538. Calculate the highest common factor of 186 and w. 62 Suppose -3*x + 7 = -3*c + 1, -3*x - 18 = 3*c. Let a be 10/(-45)*-93 - c/12. Let d = 17 - 3. What is the greatest common divisor of d and a? 7 Let l = 3283 + -2051. Let w(n) = -n**3 - 6*n**2 + 8*n + 13. Let t be w(-7). Suppose -t*c = c - l. Calculate the highest common factor of 22 and c. 22 Let o(w) = -31*w**3 - 5*w**2 - 42*w - 127. Let v be o(-4). What is the highest common factor of v and 25? 5 Suppose -2*o + 37 = 13. Suppose 0 = -0*z + 28*z - 672. Calculate the greatest common divisor of z and o. 12 Let u be -10 - (-354)/36 - 529/(-6). Let r = u - -178. Calculate the greatest common factor of r and 14. 14 Let v = -704 - -708. Suppose 0 = -2*o + 4*p + 330, -3*p + 657 - 19 = v*o. Calculate the highest common factor of 69 and o. 23 Let y = 1788 + -1668. Let r(u) = -u**2 - 8*u + 8. Let b be r(-7). Calculate the greatest common factor of b and y. 15 Suppose -78*g + 73*g + 726 = 4*l, l - 171 = -3*g. What is the greatest common factor of 70 and l? 7 Suppose 16*t = -36 - 12. Let o be 0 + 2/t + (-3056)/(-48). Let u(m) = m**3 + 6*m**2 - 6*m + 14. Let h be u(-7). Calculate the highest common factor of o and h. 7 Let d be (-42)/28 + ((-48)/(-64))/((-6)/(-508)). Calculate the greatest common divisor of 66 and d. 2 Suppose -4*g = 4*k + 12, 5*k + 32 = 4*g - 10. Let n(q) = -q**3 - q**2 + 6*q - 16. Let a be n(k). What is the highest common divisor of 8 and a? 8 Suppose 0 = 2*k - 4*k + 136. Let y(i) = i**3 + 2*i**2 + 16*i - 139. Let p be y(5). Let s = p - k. Calculate the greatest common factor of 120 and s. 24 Let v(j) = -3*j**2 - 4 - 20*j - 22*j + 32*j + 2*j**2. Suppose 5*x + 30 = -x. Let q be v(x). What is the greatest common divisor of q and 7? 7 Let l(z) = 580*z - 650. Let c be l(14). Calculate the greatest common divisor of 90 and c. 90 Let o be -4 + -2*3/(36/(-282)). Suppose 34*k + 342 = o*k. What is the greatest common factor of 418 and k? 38 Let t be 1 + 0 - (-6 + 2). Let i = -32701 - -32706. What is the greatest common divisor of i and t? 5 Let f(y) = y**3 + 16*y**2 + 11*y + 43. Let k be f(-15). Let a = 125 - k. Calculate the greatest common divisor of 418 and a. 22 Let s(d) = 7*d + 37. Let k be s(2). Let g be (-22)/(-187) + 3513/k. What is the greatest common divisor of 299 and g? 23 Suppose 32*s - 13*s - 16830 = -3*s. Calculate the highest common divisor of 1377 and s. 153 Let q be (25 - 1)/((-10)/((-28160)/48)). What is the greatest common factor of 66 and q? 22 Suppose 8 = -8*u - 480. Let o = u + 185. What is the greatest common divisor of 4 and o? 4 Let n(k) = 4836*k + 2752. Let m be n(6). Calculate the highest common factor of 44 and m. 44 Suppose -4*p - 4 = -4*r - 12, p = -5*r + 8. Let w be ((-3545)/10 + r/(-2))/(-1). Let h = -113 + w. What is the highest common factor of h and 22? 22 Let t = -127 + 141. Calculate the greatest common divisor of 21 and t. 7 Suppose 2*a + 131*f - 127*f = 120, -2*f = -4. Calculate the greatest common divisor of 728 and a. 56 Let c(f) = f**3 + 12*f**2 + 16*f - 2. Let g be c(-13). Let q = g + 439. What is the greatest common factor of q and 108? 12 Let v(s) = 2*s**2 - 51*s + 34. Let z be v(26). Let y = 78 - 51. Let x = z - y. What is the greatest common divisor of x and 3? 3 Let x = 50 - -422. Let s = x - 336. Calculate the greatest common factor of s and 34. 34 Suppose 36 = 10*z + 16. Let q be -18 + 16 - (-11 - z). Suppose n - 363 = -2*n. What is the highest common factor of n and q? 11 Let u(c) = c**3 + 38*c**2 + 237*c - 5. Let g be u(-30). Calculate the greatest common divisor of g and 3587. 17 Let p = -6010 - -6066. Calculate the highest common divisor of p and 2534. 14 Suppose -3*q = 8*q - 110. Let k(o) = 7*o**2 + 13*o - 65. Let h be k(q). What is the greatest common factor of 85 and h? 85 Let k(q) = -2*q - 2. Let a be k(5). Let p be a*(1 + (-1 - 3)). Let t be (-8160)/1904*112/(-10). What is the greatest common divisor of p and t? 12 Let h(s) = s - 7. Let j be h(8). Suppose -13*v + 298 = -j. Calculate the highest common divisor of v and 253. 23 Let m be (1 - -3) + 0*(-6)/60. Suppose 10*b = 13*b + 2*u - 293, -2*u = -m*b + 372. What is the greatest common divisor of b and 209? 19 Suppose -18*u + 21*u = 270. Suppose 4*o = n - 288, 2*o - 222 = -n + u. What is the greatest common factor of n and 16? 16 Let d(u) = 872*u - 3346. Let t be d(4). What is the highest common factor of t and 2272? 142 Let d = -572 + 554. Let z be (78/d)/(((-9)/(-3))/(-180)). Calculate the highest common divisor of 40 and z. 20 Let i be (-1665)/(-25) + 3/(-5). Let z = 8 - 5. Suppose -4*l + 97 = -z*c, -l = -5*c - 34 - 3. Calculate the greatest common divisor of i and l. 22 Let o = -10841 - -10843. Suppose 7 = -5*i - 3, 2*i + 54 = c. Calculate the greatest common divisor of o and c. 2 Suppose 5*p = 4*l - 1782, -5*p = 5*l + 851 + 949. Let x = -38 - p. What is the greatest common divisor of 20 and x? 20 Let i be 38/6*(12 + -9). Let o be i/38 + 95/2 + 0. What is the highest common divisor of o and 6? 6 Let q be 2 - 21 - (7 + -36). Let v(z) = 16*z + 5. Let n be v(5). Calculate the highest common factor of n and q. 5 Let k be (2 + (-53 - -1))*(-496)/5. Suppose -8*d + 13*d + k = 0. Let q be (d/(-14))/4 - (-4)/14. Calculate the highest common divisor of q and 18. 18 Let x(v) = v**3 + 63*v**2 - 21*v - 1159. Let k be x(-63). What is the highest common factor of 48 and k? 4 Let g = 99873 + -30199. What is the highest common divisor of g and 22? 22 Let u(b) = -b**3 + 11*b**2 - 8*b - 3. Let s be u(10). Suppose -594 = -11*z + s*z. Let r = z + 344. Calculate the highest common divisor of r and 98. 49 Suppose 0 = 142*p - 123*p - 247. Let u(b) = -25*b**3 - b**2 - 3*b - 1. Let v be u(-1). Calculate the highest common divisor of v and p. 13 Let g = -3587 - -3615. What is the highest common divisor of g and 28? 28 Suppose 0 = -13*d + 18 + 21. Suppose -5*p + 214 - 9 = x, -4*x = -d*p + 123. Calculate the highest common divisor of 451 and p. 41 Let o = -571 - -578. What is the highest common divisor of o and 25? 1 Let y be 150/200*(16/(-3))/(-1). Let v(j) = 2*j**3 - 9*j**2 + 7*j + 6. Let n be v(y). Let h = 16 + -7. Calculate the greatest common factor of n and h. 9 Let z(a) = 3*a + 2 - a**2 - 16 - 5*a - 18*a. Let u be z(-16). What is the greatest common divisor of u and 10? 10 Let j(r) = 1 - r - 2 + 0 - 3. Let v be j(-4). Suppose v = 2*f - 46 + 10. Calculate the greatest common divisor of f and 198. 18 Suppose 0 = 29*u - 16*u - 962. Calculate the highest common divisor of 1295 and u. 37 Suppose -2*j = -4*t + 1304, 3*t = j + 214 + 437. Let x = j + 657. Calculate the highest common divisor of x and 93. 3 Let h be (-43)/172*(-4 - -2 - -14). Let s be 276/60 + h/5. Calculate the highest common factor of s and 260. 4 Suppose 3*z = -t + 78, 20*t = z + 23*t - 18. Let p be (-2)/(-2)*4*-1. Let m be 168/2*(-9)/p. Calculate the greatest common divisor of z and m. 27 Suppose 0 = -54*x + 85*x - 2139. Calculate the highest common factor of x and 10189. 23 Let x be ((-24)/(-18))/((-3)/((-1503)/2)). Calculate the greatest common factor of x and 4175. 167 Let p(j) = 4*j - 1. Let d be p(1). Suppose d*o - 57 +
{ "pile_set_name": "DM Mathematics" }
*g - 18, 3*w = 6. Let h be (-6)/(3*(-4)/g). Suppose p = -h*p - 16. Are p and -8/3 unequal? True Suppose 2*o + 8 = -h, h + 12 = 3*h - 3*o. Suppose h = -56*q + 67*q + 77. Is q greater than -12? True Let c = -1391 + 235077/169. Let m(o) = 0*o**2 - 71 + 44 + o**2 + 11*o. Let i be m(-13). Which is greater: i or c? c Let t(d) = -d**3 - 4*d**2 + 5*d + 9. Let c be t(-4). Suppose -18*h - 48 - 168 = 0. Are c and h equal? False Let j = -28 + 33. Suppose -2*n = -j*n + 45. Let c be (0 - n/2)*24/(-10). Do c and 17 have the same value? False Suppose 2*o - 3*b = 19, -67*b - 33 = -2*o - 62*b. Is -15/1436 less than o? False Let z = -359/76 + 50353/2052. Is 19 greater than z? False Let r be (-6)/4*(-8)/6. Let s = 3.625 + -2.47. Let c = s + 0.045. Is c not equal to r? True Suppose 0 = -5*c - 4*m + 24, -16*m + 15*m + 6 = 4*c. Which is smaller: -30/707 or c? -30/707 Let w = -818847/34 + 24082. Is w equal to -1? False Let v = -9 - -37. Let c = v - 28.2. Let b = 2.828 - -0.172. Is b > c? True Suppose -x - 121 = -33. Let m be x/(-24) + (-6)/9. Suppose m*a - 52 = a. Which is smaller: 27 or a? a Let a(j) = -j**3 + 4*j**2 + 5*j - 1. Suppose -46 = -3*y + f, -4*y + 0*y + 3*f = -63. Suppose -3*v - y = -6*v. Let c be a(v). Which is smaller: c or 1/3? c Let q be 2/(-164)*(-60)/(-110). Let m = 2243/1804 - q. Is m < 36? True Let k(q) = q**3 + 4*q**2 - 13*q - 2. Let v be k(-6). Suppose 0 = -v*h + 7*h + 5*i + 1, -2*i = 5*h + 27. Is 17 at most h? False Let m = 181 + -300. Let c = m - -174. Let r = c + -455/8. Which is greater: -1 or r? -1 Let m = 119/53 + -5055/1378. Is m > -2? True Let y(j) = -j**3 + 28*j**2 + 20*j + 258. Let c be y(29). Which is bigger: c or -218/67? c Let u be -3 - (-3 + (-6934)/1670). Let d = 8/167 + u. Let k be (704/968)/((-2)/(-11)). Is d <= k? False Let t be 281/28 + 2/(-7). Let q(a) be the second derivative of 6*a**3 + 95*a**2 - a + 45. Let r be q(-5). Is t smaller than r? True Let v = 265156/833 - 5394/17. Which is smaller: v or 0? 0 Let k = 23/593 - 18518/64637. Which is smaller: 2 or k? k Let p(w) = w + 43. Let s be p(-44). Let i be (-1 + s)/(11 - -6). Is -8 less than i? True Let i = 367.396 + -368. Let w = -0.126 + i. Let v = -0.73 - w. Which is smaller: -6 or v? -6 Let x be 52/(-52)*(18/45 - (-57)/370). Which is greater: x or -1? x Let t = 31 + -40.5. Let v = t + -5.5. Is 10 at least as big as v? True Let r = -0.154 + 3.124. Let p = r + -186.97. Which is smaller: 1 or p? p Let d = -633/2 - -13289/42. Let f(y) = 2*y - 3. Let o(k) = k**2 - 11*k + 2. Let q be o(11). Let r be f(q). Are r and d nonequal? True Let n = -461 - -47023/102. Let i = 29908 + -29908. Which is greater: n or i? n Let u be (-76)/22026*(-12168)/27. Let r = 2/3671 + u. Suppose s - 2*g = -10 + 3, -2*s + 3*g = 9. Is r smaller than s? True Let w be 24/18 - (-3 - (-6265)/1290). Is w at most -1? False Let y(n) = 10*n - 47. Let p be (-170)/(-40) + 2/(-8). Let f be y(p). Is -5 at least f? True Suppose 924 - 105 = 7*d. Let g be 2 + (3/3 - 70). Let x = g + d. Are 50 and x unequal? False Let w = 2.1 - 2. Let d = -0.204 + -2.636. Let g = -4.84 - d. Which is smaller: g or w? g Let l be -60*(150/36 + -4)*-3. Suppose 3*t = 6, -3*k + 5*k - 5*t + l = 0. Are k and -30 equal? False Let v = 2.473 - 4.073. Which is smaller: 10 or v? v Let w = -11402 + 11412. Suppose 5*i = -p + 2*p + 220, 0 = 3*i + p - 132. Suppose 2*n = -2*n + i. Is w at least as big as n? False Suppose 7*y - 8*y = 1, -4*y = x - 117. Suppose 3*l - x = -5*i, -42*i + 39*i + l + 67 = 0. Is 27 at least as big as i? True Let h(f) = f**2 + 8*f + 8. Let d be h(-6). Suppose -2*n = -54*r + 55*r + 3, 0 = 2*r + 3*n + 14. Which is smaller: r or d? r Suppose -117 = 5*z - 72. Let n be (-3)/(-10)*(2 + (-24)/z). Let m = -3 + 1. Is m bigger than n? False Suppose -4*g - 308 = -0*g. Let q = g - -82. Suppose -q*s = 5*d, 2*d + 7 = 2*s + 3*s. Is 2/229 greater than d? True Suppose -28*p + 58 = p. Suppose -s + 4*q = -4*s, p*s = 4*q. Is s <= 1/676? True Let m = 424 - 158. Suppose -267*x + m*x = -8. Is 10 at most x? False Let t(x) = -8*x + 29. Let u(o) = 9*o - 28. Let j(g) = 3*t(g) + 2*u(g). Let a be j(-3). Which is smaller: a or 47? 47 Let w = 4245 + -4246.2. Which is smaller: -5/28 or w? w Let w be (-632)/88 - -7 - 35/(-11). Suppose -4*k - 5*q = 19, -3*q - 14 = 8*k - w*k. Which is smaller: -10/53 or k? k Let q be (21/((-315)/60))/3814. Let y = 28 - 28. Which is bigger: q or y? y Suppose -3*t = -4*k - 12, 5*t - 8 = -5*k - 23. Let c = 1290/7 + -724973/3934. Let w = c + -565/1686. Which is smaller: t or w? w Suppose -3*q + 220 = 4*x, x + 4*q - 60 = -5. Suppose 4*p + x = -w, -2*p - 3*w = -6*p - 59. Let m be 5 - 214/(-600)*p. Is m greater than 2/3? False Suppose -4*q + 60 = 4*o, 0*q - 4*q + 6*o + 20 = 0. Let b(d) = 9*d**2 - d + 1. Let f be b(1). Suppose -2*s + q - f = 0. Which is smaller: 1/106 or s? 1/106 Let p = 27 + -24. Suppose 3*j - 10 = 2*y, -3*j + 4*y - y = -15. Suppose j = -2*o + p*m, -4*o + 0*o - m = 14. Which is smaller: o or -1? o Suppose 2*h - 5 = 6*o - o, 5*o = -3*h - 5. Suppose h = y + 5*y + 150. Let d = y - -26. Is d <= -3/11? False Let j(s) = -s**3 - 6*s**2 + 3. Let f be j(-6). Let o be (-7 - -13)*((-10)/(-3) + -3). Let b be ((-30)/63 + 1/o)*4. Is f less than or equal to b? False Let a be (-2)/(-12) + 120/144. Is a > 2/193? True Let v be -1 + -3 - (27 - 13). Let k be ((-198)/(-27))/((-4)/v). Is 35 <= k? False Let z(r) = r - 5. Let d be z(8). Suppose -4*q = c - d*q, -c - 2*q = 0. Let b be (-52)/16 - (7 - (10 - 0)). Is c less than or equal to b? False Suppose 2*h + 43 = -15. Let y = h + 32. Suppose 8 = -y*l + 14. Which is smaller: 3 or l? l Let i be (-1)/7*(-16 - 32)/24. Which is bigger: i or -0.0488? i Suppose -5*x - 2*y - 10 = 0, -2*y + 5*y = -15. Let l be x + 8 - 75/30. Which is smaller: l or 7? l Suppose 9*j + 1285 = 1762. Is j at most as big as 671/13? False Let k be 1967/2810*8/(-266). Is k not equal to -2/25? True Let x = -3005.97528 + -0.02472. Which is smaller: x or 1? x Let u = 133505 - 656831/5. Let w = 2152 - u. Do w and 14 have different values? True Suppose 0 = 2*j - 2*r - 10, r - 8 + 33 = 3*j. Let f(d) = 7*d - 17. Let s be f(j). Let u = s - 52. Is u less than 1/30? False Let s be (-8)/(-48) + (-1030)/(-12). Suppose 0 = -4*r + s + 442. Let t be r/(-9) + 4/6. Is t at least as big as -14? True Let u be (4/26 - 0) + 2378/(-754). Let y be 0*u*3/(-9). Let x be (-1)/4 - (-69)/(-108). Which is bigger: y or x? y Let k be (6/8)/(((-5)/(-1540))/(-1)). Let b = k + 230. Is 189 != b? True Let v = 138 - 139. Suppose 0 = -m + 4*m - 81. Let z = 24 - m. Which is smaller: v or z? z Let v = -252 - -253. Let u = 9.24 + -9. Let r = u + -0.35. Which is smaller: v or r? r Let m = -6137 + 300715/49. Which is smaller: 1/10 or m? m Let b = 573 - 575. Let d be (-3)/(33/b) + 153/187. Let l(x) = 4*x**3 + 3*x**2 - 4*x + 1. Let c be l(-3). Which is greater: c or d? d Let t(w) = -186*w - 121. Let r be t(-12). Is r bigger than -0.1? True Let r(x) = -48*x + 275. Let a be r(4). Suppose -6*c + c = 2*b - 159, -3*b - 4*c + 242 = 0. Which is bigger: b or a? a Suppose -42 = 21*x - 27*x. Suppose 2*n = -2*f + 4*f, -5*f = 2*n - x. Let a be 2/(-6) - 57/(-117). Which is smaller: f or a? a Suppose 0 = -2*f + h + 3, 6*h = -f + 4*h + 4. Let y be 4/10 + 19/15. Are f and y non-equal? True Suppose -v - 3 = -0. Let f = -214.9769 + -0.0231. Let k = f + 215. Which is bigger: v or k? k Let h be 3/(-9)*(-1935816)/395. Which is smaller: h or 1635? h Let q be -1 - 1 - (26 + -30). Suppose 10 = 4*y + q*s, -2*s = -y - s + 4. Is 2 less than or equal to y? True Let p = -2.2 - -2.3. Suppose -d + 82 + 2 = 0. Let j be 110/7 + 24/d. Which is smaller: p or j? p Let g(j) = -j**3 + 2*j**2 + 2*j + 3. Let n be g(3). Suppose 3*i = 4*o - i - 16, 2*o + i + 7 = n. Is o less than 2/37? True Let z be -3 - (-10 + 5)/(-5). Let u(i) be the second derivative of -i**5/20 - i**4/4 - i**3/6 - 21*i**2/2 + 5*i. Let n be u(z). Which is bigger: n or -2? n Let h(x) = -1526*x - 307. Let i be h(-1). Is 1221 bigger than i? True Let b = -0.8013 + 1.8013. Is b equal to -3056? False Let y be (30/(-7) + 4)*7. Let t = 1313 + -22339/17. Is y at most as big as t? True Suppose 251*b + 4*o + 636 = 252*b, -3*o - 2531 = -4*b. Is b != -0.4? True Let b = -36 + 53. Suppose 5*g = b + 43. Suppose 2*k + 7*p + 2 = 3*p, -p - 50 = -4*k. Which is
{ "pile_set_name": "DM Mathematics" }
? -114141 What is next in 47262, 94519, 141776, 189033, 236290? 283547 What is next in 226230, 226229, 226228, 226227? 226226 What is the next term in -100, -567, -1840, -4321, -8412, -14515, -23032, -34365? -48916 What is next in 1265, 5053, 11369, 20213, 31585, 45485, 61913? 80869 What is the next term in 15131, 30274, 45417, 60560? 75703 What is the next term in -952, -1900, -2848, -3796, -4744, -5692? -6640 What is the next term in 354, 299, 202, 57, -142, -401, -726? -1123 What is the next term in -3671036, -3671036, -3671026, -3671000, -3670952, -3670876, -3670766? -3670616 What is next in -230, -927, -2098, -3743, -5862, -8455? -11522 What is the next term in 567, 1093, 1623, 2157, 2695, 3237? 3783 What comes next: 197, 453, 733, 1031, 1341, 1657? 1973 What comes next: -3436, -3463, -3490? -3517 What is next in -9911, -19819, -29727, -39635, -49543? -59451 What is next in -178650, -714604, -1607860, -2858418, -4466278? -6431440 What is the next term in -693, -934, -1171, -1404, -1633, -1858, -2079? -2296 What comes next: 76, 134, 176, 202, 212, 206, 184? 146 What is next in 90, 474, 1276, 2628, 4662, 7510, 11304? 16176 What comes next: -2557, -2592, -2693, -2896, -3237, -3752, -4477, -5448? -6701 What is the next term in -5, -226, -881, -2204, -4429? -7790 What is next in -1028, -1825, -2622, -3419? -4216 What is the next term in -9516, -37822, -84920, -150810, -235492? -338966 What is next in -1994, -2545, -3110, -3695, -4306, -4949, -5630, -6355? -7130 What is the next term in 1008, 4064, 9158, 16290, 25460, 36668, 49914? 65198 What is the next term in 90733, 362922, 816571, 1451680, 2268249, 3266278, 4445767? 5806716 What is the next term in 183, 835, 1923, 3447, 5407? 7803 What is the next term in -336, -693, -1044, -1389, -1728, -2061, -2388? -2709 What is the next term in 25503, 25517, 25553, 25623, 25739, 25913? 26157 What is the next term in 93872, 187745, 281618, 375491? 469364 What comes next: -2847, -5689, -8531, -11373, -14215? -17057 What is next in 35413, 35378, 35343, 35308? 35273 What is the next term in 69360, 69361, 69364, 69369, 69376? 69385 What is the next term in -146, -1750, -6256, -15116, -29782, -51706, -82340? -123136 What comes next: 17681, 17723, 17755, 17771, 17765, 17731? 17663 What comes next: 936625, 936626, 936627? 936628 What comes next: 440, 653, 876, 1115, 1376? 1665 What is next in 371, 411, 453, 497, 543? 591 What comes next: -3103, -6209, -9315, -12421? -15527 What is the next term in 122, 238, 272, 224, 94, -118? -412 What is the next term in -21, 24, 225, 660, 1407, 2544, 4149? 6300 What is next in 25800, 51594, 77378, 103152, 128916, 154670? 180414 What comes next: -134, -165, -218, -293, -390, -509? -650 What is the next term in -4355496, -4355495, -4355494, -4355493, -4355492? -4355491 What is the next term in -875, -885, -931, -1037, -1227, -1525? -1955 What is the next term in 18437, 18434, 18455, 18512, 18617, 18782, 19019, 19340? 19757 What is next in -205233, -410449, -615665, -820881, -1026097, -1231313? -1436529 What is the next term in -27, -38, -57, -84, -119, -162? -213 What comes next: -653, -561, -455, -335, -201, -53? 109 What is next in 31623, 63239, 94847, 126441, 158015, 189563? 221079 What is the next term in 9293, 18638, 27985, 37334, 46685, 56038? 65393 What is next in -112, -322, -666, -1186, -1924, -2922, -4222? -5866 What comes next: -405363, -405361, -405359? -405357 What is next in 71590, 143181, 214772, 286363, 357954, 429545? 501136 What is the next term in 707, 845, 969, 1073, 1151, 1197? 1205 What is the next term in 233, 830, 1739, 2954, 4469, 6278, 8375, 10754? 13409 What is next in 6493, 6648, 6801, 6952, 7101? 7248 What is next in 495, 954, 1413, 1872, 2331, 2790? 3249 What is the next term in -6411, -13290, -20169, -27048, -33927, -40806? -47685 What is next in -1023, -702, -381, -60, 261? 582 What is next in 298079, 596171, 894265, 1192361, 1490459, 1788559? 2086661 What comes next: 15899, 31830, 47761, 63692? 79623 What comes next: 9730, 9743, 9758, 9775, 9794? 9815 What comes next: -3700, -7289, -10878, -14467, -18056? -21645 What is the next term in -898, -1054, -1210, -1366, -1522? -1678 What is next in -22800, -22810, -22820, -22830, -22840, -22850? -22860 What is the next term in -77048, -77047, -77046, -77045? -77044 What is the next term in -25942, -25977, -26012? -26047 What is next in 5252, 5299, 5344, 5381, 5404? 5407 What is next in -57, -22, 129, 402, 803, 1338? 2013 What is the next term in -2087, -2128, -2171, -2216? -2263 What comes next: 599, 2533, 5747, 10235, 15991, 23009, 31283? 40807 What is next in 16609, 16613, 16619, 16627? 16637 What is next in 319, 1310, 2971, 5302? 8303 What is the next term in -157, -225, -293, -361? -429 What comes next: -117045, -117046, -117047? -117048 What is next in -368, -731, -1090, -1445? -1796 What comes next: -678, -1907, -3136, -4365, -5594? -6823 What is next in 539, 1032, 1521, 2006, 2487? 2964 What is the next term in 281, 1286, 2967, 5324? 8357 What is the next term in -206, -697, -1478, -2519, -3790? -5261 What is next in 13992, 27986, 41980, 55974? 69968 What is the next term in 47, 84, 125, 176, 243? 332 What is the next term in 6796, 13600, 20402, 27202, 34000? 40796 What is next in 122570, 122573, 122586, 122615, 122666, 122745, 122858, 123011? 123210 What comes next: -1019, -1141, -1345, -1631, -1999? -2449 What is next in 248, 991, 2244, 4025, 6352, 9243? 12716 What is next in -20032, -40061, -60090? -80119 What is the next term in 0, 137, 502, 1209, 2372, 4105, 6522, 9737? 13864 What is the next term in -11663, -23322, -34981, -46640, -58299, -69958? -81617 What comes next: -1271, -5542, -12659, -22622? -35431 What is next in -459, -1063, -1997, -3267, -4879, -6839, -9153, -11827? -14867 What is the next term in -1993, -2871, -5241, -9847, -17433? -28743 What comes next: 1939, 3646, 5353, 7060, 8767, 10474? 12181 What is next in -119, -310, -619, -1040, -1567, -2194, -2915? -3724 What is the next term in -17, -273, -985, -2381, -4689? -8137 What is next in -317499, -317504, -317509? -317514 What is next in 7351, 29387, 66113, 117529, 183635, 264431? 359917 What comes next: -1227, -2468, -3709, -4950, -6191, -7432? -8673 What is next in -115, -213, -321, -445, -591, -765? -973 What comes next: 179851, 359711, 539585, 719479, 899399? 1079351 What is the next term in 1060, 1083, 1128, 1201, 1308, 1455, 1648? 1893 What comes next: -7159, -7187, -7215? -7243 What is the next term in -23, -174, -451, -854, -1383, -2038? -2819 What comes next: 26645, 53368, 80091, 106814, 133537, 160260? 186983 What is next in -53275, -53274, -53273, -53272, -53271? -53270 What is next in -310, -381, -606, -1075, -1878, -3105? -4846 What is next in 1283, 2543, 3789, 5021? 6239 What comes next: 1299, 2652, 4005, 5358, 6711? 8064 What comes next: -639528, -639537, -639550, -639567? -639588 What comes next: 318, 2502, 8428, 19968, 38994? 67378 What is the next term in 1339, 2686, 4049, 5428, 6823? 8234 What is next in 15030, 15032, 15034, 15036, 15038? 15040 What is the next term in 1494, 6043, 13624, 24237, 37882, 54559? 74268 What comes next: -1, -15, -125, -403, -921, -1751, -2965? -4635 What is the next term in -1225, -1787, -2357, -2935, -3521, -4115? -4717 What comes next: -408, -628, -848, -1068? -1288 What is next in -71428, -142856, -214284, -285712? -357140 What comes next: 44, 20, 2, -10? -16 What is next in 902, 1802, 2702? 3602 What comes next: 159, 102, 65, 54, 75? 134 What is next in -55, -255, -599, -1093, -1743? -2555 What is next in -5542, -22150, -49838, -88612, -138478? -199442 What is the next term in -10468, -20952, -31436, -41920, -52404, -62888? -73372 What is next in 132, 153, 174, 195, 216? 237 What is the next term in 425, 876, 1355, 1862? 2397 What is next in 2081, 4136, 6191, 8246, 10301, 12356? 14411 What comes next: -767, -1546, -2327, -3110, -3895, -4682? -5471 What comes next: 5427, 5430, 5435, 5442? 5451 What is the next term in 34, 22, -16, -92, -218, -406? -668 What is next in 6890, 6882, 6874? 6866 What is next in -22313, -22318, -22323, -22328? -22333 What is the next term in 669, 681, 717, 789, 909, 1089, 1341, 1677? 2109 What comes next: -294, -575, -854, -1131, -1406, -1679
{ "pile_set_name": "DM Mathematics" }
3.725 to one dp. 3.7 Round -419.16193 to the nearest integer. -419 What is -0.001012687 rounded to 4 decimal places? -0.001 What is 1376101.2 rounded to the nearest one hundred thousand? 1400000 Round 0.0001091829 to 6 decimal places. 0.000109 Round 1.106642 to 3 dps. 1.107 Round -13134.092 to the nearest ten. -13130 Round 0.0000433638 to 6 decimal places. 0.000043 What is -4.733514 rounded to two decimal places? -4.73 Round 0.17149905 to three decimal places. 0.171 What is -6.08878 rounded to zero dps? -6 What is -80.882 rounded to the nearest ten? -80 Round -0.000858907 to four dps. -0.0009 Round 0.0001630124 to 5 dps. 0.00016 Round -0.0000319391 to 6 decimal places. -0.000032 Round -1.98199 to 1 dp. -2 What is 54408.48 rounded to the nearest 10000? 50000 What is 0.4162804 rounded to two dps? 0.42 What is 265.2939 rounded to the nearest ten? 270 What is 913267 rounded to the nearest one hundred thousand? 900000 Round -0.00307147 to 3 decimal places. -0.003 Round 65376.73 to the nearest ten. 65380 What is 0.0001046264 rounded to seven dps? 0.0001046 Round 20234.2 to the nearest ten. 20230 What is 176.58623 rounded to the nearest integer? 177 Round -1921660 to the nearest ten thousand. -1920000 Round -1046597.88 to the nearest one hundred. -1046600 Round 0.001137442 to 5 decimal places. 0.00114 What is -0.62499 rounded to 1 dp? -0.6 What is 0.132899 rounded to three dps? 0.133 What is 0.104416 rounded to 1 dp? 0.1 What is 181052 rounded to the nearest one thousand? 181000 Round -241466.4 to the nearest ten thousand. -240000 What is -44214.2 rounded to the nearest 100? -44200 Round -0.000284367 to 5 dps. -0.00028 What is -0.000024118 rounded to seven decimal places? -0.0000241 Round -0.7125247 to 3 decimal places. -0.713 What is 0.000015439356 rounded to seven decimal places? 0.0000154 Round 267.545 to the nearest ten. 270 Round -920.432 to 0 dps. -920 Round 406200600 to the nearest one hundred thousand. 406200000 What is -0.00000873689 rounded to 6 decimal places? -0.000009 What is -11.97115 rounded to 2 decimal places? -11.97 Round 1.135951 to two dps. 1.14 Round 0.001329879 to 3 dps. 0.001 Round 0.962769 to 3 dps. 0.963 Round 0.00237363 to 4 dps. 0.0024 Round -57736.3 to the nearest ten thousand. -60000 What is 0.0003205025 rounded to seven dps? 0.0003205 What is 0.2731037 rounded to two dps? 0.27 Round 0.0007035538 to 6 decimal places. 0.000704 Round 0.0820476 to two dps. 0.08 What is -0.0087446 rounded to 3 dps? -0.009 Round -399856 to the nearest 1000. -400000 What is -0.45426873 rounded to three decimal places? -0.454 Round 8.289162 to 2 decimal places. 8.29 What is -0.00000478487 rounded to six dps? -0.000005 What is 58.31178 rounded to the nearest 10? 60 Round -0.0000361204 to 7 decimal places. -0.0000361 What is 0.00000068378 rounded to 7 decimal places? 0.0000007 What is 0.00001051355 rounded to 7 dps? 0.0000105 What is -0.7895004 rounded to three dps? -0.79 Round 2566612300 to the nearest one million. 2567000000 What is -0.01557224 rounded to 4 decimal places? -0.0156 Round -166.522 to the nearest 100. -200 What is -0.000439713 rounded to 4 dps? -0.0004 Round -0.0004862769 to seven dps. -0.0004863 Round 0.00000250265 to seven dps. 0.0000025 What is 73976 rounded to the nearest one thousand? 74000 Round 0.0787734 to two decimal places. 0.08 What is -16732.17 rounded to the nearest 10? -16730 What is 19.384493 rounded to 1 dp? 19.4 Round 1005055.6 to the nearest ten thousand. 1010000 Round -0.0003847231 to 6 decimal places. -0.000385 Round 269.2101 to one decimal place. 269.2 Round -1136.979 to zero decimal places. -1137 What is -423905000 rounded to the nearest one hundred thousand? -423900000 Round 373531.9 to the nearest one hundred. 373500 Round -0.185838 to 2 dps. -0.19 Round 74.69124 to the nearest integer. 75 Round -0.07422559 to four decimal places. -0.0742 Round 0.00001196828 to 7 dps. 0.000012 What is 37.448 rounded to the nearest 10? 40 What is 0.000000224984 rounded to 7 dps? 0.0000002 What is 9204.48 rounded to the nearest 10? 9200 What is -0.0006962191 rounded to six dps? -0.000696 What is 63.4694 rounded to the nearest 10? 60 Round -205353.1 to the nearest one hundred thousand. -200000 What is 0.1443565 rounded to 3 dps? 0.144 Round 0.0000237342 to 7 dps. 0.0000237 What is -1.6099968 rounded to two dps? -1.61 Round -0.00001667245 to 7 dps. -0.0000167 Round 26611010 to the nearest one hundred thousand. 26600000 Round 2.162848 to 2 dps. 2.16 What is 9677.742 rounded to the nearest ten? 9680 What is 0.00694227 rounded to three decimal places? 0.007 What is 10.67129 rounded to 1 decimal place? 10.7 Round 0.0076865 to two dps. 0.01 What is 0.000008843795 rounded to seven decimal places? 0.0000088 What is -145.9014 rounded to the nearest 10? -150 Round 0.9504813 to one decimal place. 1 What is -35259.39 rounded to the nearest ten? -35260 What is 13427.634 rounded to the nearest 100? 13400 What is -59.17423 rounded to the nearest ten? -60 What is 3985522 rounded to the nearest 10000? 3990000 Round 1.98661 to 1 decimal place. 2 Round 0.00004807309 to seven dps. 0.0000481 Round -0.000932247 to 5 decimal places. -0.00093 Round 0.0460305 to three dps. 0.046 What is -426610.1 rounded to the nearest one hundred? -426600 Round -2.70696 to 2 dps. -2.71 Round 0.0000488574 to five decimal places. 0.00005 What is 17.59067 rounded to 2 dps? 17.59 Round 9.8722 to 1 dp. 9.9 What is 0.00529338 rounded to 4 decimal places? 0.0053 What is -1339713 rounded to the nearest 100000? -1300000 What is -2119408000 rounded to the nearest 1000000? -2119000000 Round 29.90917 to 1 dp. 29.9 Round 0.00000429874 to 6 dps. 0.000004 Round -3024.84 to the nearest one hundred. -3000 Round -1.0885649 to 2 dps. -1.09 Round -0.01795584 to three decimal places. -0.018 Round 41483.335 to the nearest 1000. 41000 What is -0.00001461335 rounded to six dps? -0.000015 Round 1.3068835 to one decimal place. 1.3 Round -0.000065952837 to 5 dps. -0.00007 What is 0.00481835 rounded to 4 dps? 0.0048 What is -814.11 rounded to the nearest integer? -814 What is -3941377200 rounded to the nearest 1000000? -3941000000 What is 421.1035 rounded to one decimal place? 421.1 Round -423002 to the nearest 100000. -400000 Round -1138.41 to the nearest ten. -1140 Round 148345.1 to the nearest 10000. 150000 What is 0.0076238734 rounded to 5 dps? 0.00762 Round -6599964 to the nearest one million. -7000000 Round -17627 to the nearest 1000. -18000 Round 0.0004372264 to four decimal places. 0.0004 Round 2522391000 to the nearest 1000000. 2522000000 Round 154.4905 to the nearest integer. 154 What is 67829.7 rounded to the nearest 10000? 70000 What is 0.000009413298 rounded to seven dps? 0.0000094 What is 494386 rounded to the nearest 100000? 500000 What is 481.368 rounded to 1 dp? 481.4 Round -0.00448987 to 6 decimal places. -0.00449 Round 4413618 to the nearest one million. 4000000 What is -1886671.6 rounded to the nearest ten thousand? -1890000 What is 0.00014749665 rounded to 6 dps? 0.000147 What is 421520 rounded to the nearest ten thousand? 420000 What is -175440.12 rounded to the nearest 10000? -180000 What is 0.00192444 rounded to 6 dps? 0.001924 Round 35.87534 to 1 dp. 35.9 Round -255.6615 to the nearest integer. -256 What is -11215.2 rounded to the nearest one hundred? -11200 What is 0.0167608 rounded to 2 decimal places? 0.02 What is -12917.26 rounded to the nearest one hundred? -12900 Round -1098.6142 to one dp. -1098.6 Round -0.02834296 to 4 decimal places. -0.0283 What is 5408075 rounded to the nearest 100000? 5400000 What is 110.805 rounded to 1 dp? 110.8 Round -45.5153 to the nearest 100. 0 What is -34.1969 rounded to the nearest ten? -30 What is -0.0000127108 rounded to 6 decimal places? -0.000013 What is 0.07050587 rounded to 2 dps? 0.07 Round -0.0029913429 to four dps. -0.003 What is -73311.089 rounded to the nearest one hundred? -73300 What is 12827378 rounded to the nearest one million? 13000000 Round 2.959815 to the nearest integer. 3 What is 0.01794712 rounded to four dps? 0.0179 What is 15793.5 rounded to the nearest 1000? 16000 Round 337005100 to the nearest 100000. 337000000 Round 0.00001914985 to seven dps. 0.0000191 What is -9023.496 rounded to the nearest ten? -90
{ "pile_set_name": "DM Mathematics" }
second derivative of 2*t**4 + 38*t - 7*t + 6*t**4 + 9*t**c wrt t? 204*t**2 Let q be -10*(3 - (-17)/(-5)). Suppose q*w - 16 = -g, 4*g + 40 = 4*w - g. What is the second derivative of -w*i + 30*i**4 - 16*i**4 - 21*i**4 wrt i? -84*i**2 Let q(w) be the third derivative of 0*w - w**2 + 0*w**3 + 0 + 23/24*w**4 + 1/6*w**5. Find the second derivative of q(s) wrt s. 20 Let a be (-5 - 1)*(-1)/2. Suppose 4*m - a = 9. Find the first derivative of 3 - m*u - 5*u**4 + 3*u + 4 wrt u. -20*u**3 Let z(x) be the second derivative of -11*x**7/7 - 121*x**4/12 + 2*x - 1. What is the third derivative of z(w) wrt w? -3960*w**2 Let x(k) = 3*k**2 + 2*k - 36. Let s(f) = -3*f**2 - 3*f + 35. Let y(t) = -2*s(t) - 3*x(t). Find the first derivative of y(u) wrt u. -6*u Find the first derivative of 8*h**2 + 66 + 24*h - 784 - 42*h**4 + 9*h**4 - 24*h wrt h. -132*h**3 + 16*h Let t(z) be the second derivative of 61*z**6/3 - z**3/6 + 3*z**2 + 299*z. Find the second derivative of t(r) wrt r. 7320*r**2 Let v(u) be the first derivative of 247*u**4/2 - 98*u**3/3 - 2*u + 85. What is the third derivative of v(s) wrt s? 2964 Let f be (((-12)/(-9))/4)/(2/30). What is the second derivative of -f*w - 13*w**5 + 36*w - 12*w**5 - 2*w wrt w? -500*w**3 Let m(d) be the first derivative of d**7/84 - d**5/30 - 5*d**3/3 - 8. Let v(a) be the third derivative of m(a). Find the second derivative of v(n) wrt n. 60*n Let k(j) be the second derivative of 0 + 16*j**2 + 21*j + 0*j**3 - 5/2*j**4. What is the first derivative of k(h) wrt h? -60*h Let f(q) be the first derivative of 138*q**5/5 - 26*q**3/3 + 197. Find the third derivative of f(w) wrt w. 3312*w Let o(c) = 6*c**2 - 7*c + 5. Let k(r) = 7*r**2 - 8*r + 4. Let x be 20/(-6)*-1 + (-6)/(-9). Let m(u) = x*o(u) - 5*k(u). Find the second derivative of m(d) wrt d. -22 What is the second derivative of -2*i**5 + 30*i**3 + 61 - 2*i - 12 - 46 + 5*i**3 + 26*i wrt i? -40*i**3 + 210*i Suppose -f - 4*f = 0. Let x be f*(-2 + (-5)/(-2)). Differentiate 2*p**3 + 0 + 1 + x*p**3 with respect to p. 6*p**2 Find the third derivative of -k + 54*k**3 - 17*k**3 - 20*k**2 + 40*k**3 wrt k. 462 Let b(q) be the first derivative of -3*q**5/5 + 29*q**4 + 668*q**3/3 - 837. Find the third derivative of b(z) wrt z. -72*z + 696 What is the second derivative of 27*q + 22 - q**3 + 229*q - 22 + 157*q**2 wrt q? -6*q + 314 Let x = -8 + 10. Suppose 0 = x*i - 5*i + 18. Find the first derivative of i*k + 7 - 1 + 4 - 2 wrt k. 6 Let f(s) = 6*s + s**2 - 4 + 5 + 3*s + 9. Let m be f(-8). Differentiate -b - 6 + b - 9*b**2 + 13*b**m wrt b. 8*b Let c(s) be the second derivative of -1/6*s**3 - 22*s + 0 + 19/2*s**2. What is the derivative of c(a) wrt a? -1 Let r = -37 - -54. Suppose 4*t - 7 = r. What is the derivative of 1 - t*n + 0*n + 2 wrt n? -6 Suppose 69*d = 99*d. Let r(k) be the third derivative of d*k**4 + 0*k**5 - 1/35*k**7 + 0*k**6 + 0 - 2/3*k**3 - 7*k**2 + 0*k. Differentiate r(h) wrt h. -24*h**3 Let d(y) be the second derivative of y**7/280 + y**6/30 + 13*y**3/6 + 9*y. Let g(l) be the second derivative of d(l). Find the third derivative of g(i) wrt i. 18 Let g(y) be the first derivative of -65*y**3/3 + 189*y**2 + 470. What is the second derivative of g(w) wrt w? -130 Let r(m) be the second derivative of -23/2*m**2 + 0 - 3*m**3 + 4*m. Differentiate r(l) with respect to l. -18 Let z be ((-2 - -1132) + -1)*(-3)/(-3). Find the second derivative of 1099*q**5 - 2*q - z*q**5 + q wrt q. -600*q**3 Suppose -3*c + 54 = 3*c. Find the first derivative of 5 + c*l**3 - 184*l + 184*l wrt l. 27*l**2 Differentiate -1900 + 3252 + 628*y**2 - 1622 with respect to y. 1256*y Let w(x) be the first derivative of -13*x**2 - 44*x - 19. Differentiate w(o) wrt o. -26 Let z be (-1 + (-39)/9)/((-1)/3). What is the second derivative of 19*k - 5*k**4 + z*k - 41*k wrt k? -60*k**2 Let i(v) be the second derivative of 35*v + 0*v**2 + 3*v**4 - 17/6*v**3 + 0. What is the second derivative of i(s) wrt s? 72 Let u(p) = -5*p**5 + p**4 - 4*p**2 + 58*p. Let h(y) = -6*y**5 - 5*y**2 + 57*y. Let z(x) = 4*h(x) - 5*u(x). Find the second derivative of z(w) wrt w. 20*w**3 - 60*w**2 Differentiate -622*b**2 - 256 - 2*b**2 + 638 + 565 with respect to b. -1248*b Let q(i) = -i**3 - 5*i**2 + 4*i + 3. Let v be q(-6). Suppose 4*l = -l + v. What is the second derivative of 4*x**3 - 5*x**3 - l*x**5 - 7*x + x**3 wrt x? -60*x**3 Let x(k) be the third derivative of -5*k**9/63 - k**7/210 - 71*k**5/60 - 25*k**2 + 4*k. Find the third derivative of x(z) wrt z. -4800*z**3 - 24*z Let c(u) = -u**3 + u**2 - u - 1. Let r(b) = -8*b**3 + 3*b**2 - 3*b - 1. Let t be (-2 - (-9)/6)*-6. Let g(i) = t*c(i) - r(i). Differentiate g(n) wrt n. 15*n**2 Find the second derivative of -10*j + 4*j**2 + 2482*j**3 - 2482*j**3 + 4*j**5 - 8 wrt j. 80*j**3 + 8 Let j(m) = m**3 - 3*m**2 - 4*m + 3. Let b be j(4). Let v = 8 + b. What is the first derivative of 10*h**4 - v*h**4 - h**3 - 2 + h**3 wrt h? -4*h**3 Let a(l) = l. Let f be a(2). What is the first derivative of -26 + 14 + 13 + 7*j**f wrt j? 14*j Let v(k) = -k**2 - 1. Let g(n) = 6*n**2 - 3*n - 11. Let h(j) = g(j) - 6*v(j). Find the second derivative of h(q) wrt q. 24 Let i(m) be the third derivative of 0*m + 0*m**3 + 49/24*m**4 - 1/10*m**5 + 0 + 32*m**2. Find the second derivative of i(s) wrt s. -12 Suppose -13*b + 16*b = 0. Let s(w) be the third derivative of -5*w**2 + 0 + 1/3*w**3 - 1/12*w**4 + b*w. Differentiate s(t) wrt t. -2 Let z(j) be the second derivative of -7/6*j**3 + 0 + 0*j**5 - 11*j + 1/6*j**7 + 0*j**4 + 0*j**2 + 0*j**6. Find the second derivative of z(i) wrt i. 140*i**3 Let o be (-1)/((-5)/80) + -1. Differentiate 2*a**2 + o - 9*a**3 - 43 - 2*a**2 wrt a. -27*a**2 Let h(l) = -1075*l**3 - 7*l**2 - 556*l - 15. Let c(z) = 537*z**3 + 3*z**2 + 278*z + 6. Let q(k) = 5*c(k) + 2*h(k). Find the third derivative of q(m) wrt m. 3210 Let m = 10 - -4. Let j be (-21)/m*8/(-3). Find the second derivative of -r + r**4 - 4*r**2 - 5*r**4 + j*r**2 wrt r. -48*r**2 Differentiate -g + g + 213*g**4 - 245197 + 245336 wrt g. 852*g**3 Let b(p) = 3*p - 3. Let w be b(2). What is the derivative of -2 - 3*k**w + k**3 + 4 wrt k? -6*k**2 Let h(y) = y**2 - y - 3. Let d(a) = 156*a**2 + 4*a + 126. Let j(q) = -d(q) - 4*h(q). Differentiate j(n) with respect to n. -320*n What is the third derivative of 19*y**4 - 104*y**2 - 23*y**4 + 286*y**4 + 165*y**4 wrt y? 10728*y Let t(x) be the third derivative of 4*x**2 - 1/3*x**4 + 0*x + 0 + 0*x**3 + 1/10*x**5. Find the second derivative of t(d) wrt d. 12 Let a(s) be the third derivative of -67*s**6/120 - 85*s**4/12 + s**3/2 - 135*s**2. What is the second derivative of a(x) wrt x? -402*x Find the third derivative of -371939 + 7*l**2 - 40*l**2 - 21*l**3 + 371936 wrt l. -126 Let w(t) = 333*t**3 + 7*t**2 + 7*t + 211. Let o(d) = -333*d**3 - 6*d**2 - 6*d - 213. Let c(h) = -7*o(h) - 6*w(h). What is the first derivative of c(n) wrt n? 999*n**2 Let a(k) = -170*k**5 + 7*k**4 + 2*k**2 - 9. Let b(d) = -85*d**5 + 3*d**4 + d**2 - 4. Let s(w) = 3*a(w) - 7*b(w). What is the third derivative of s(l) wrt l? 5100*l**2 Let g(p) = -216*p**3 - 2*p**2 - 184. Let c(u) = u**3 + 2*u**2. Let n(j) = 2*c(j) + 2*g(j). Find the first derivative of n(v) wrt v. -1290*v**2 Let i(l) be the third derivative of -17*l**6/30 - 65*l**3/2 - 160*l**2. What is the first derivative of i(j) wrt j? -204*j**2 Let q(z) be the first derivative of z**9/378 + z**6/36 + 11*z**3/3 + 3. Let u(a) be the third derivative of q(a). What is the third derivative of u(x) wrt x? 480*x**2 Let a be -3*1 + 0 + 6. Suppose a*u = 4*u. Differentiate -4*y**4 - 2 + u + 2*y**4 + 5 wrt y. -8*y**3 Let h(f) = 18*f - 23. Suppose 12 = 5*s + 42. Let v(l) = -3*l + 4. Let p(j) = s*h(j) - 34*v(j). Differentiate p(i) wrt i. -6 Suppose -3*y = 10 - 22. What is the third derivative of -12*r**5 - 3*r**2 + 20*r**4 - 20*r**y wrt r? -720*r**2 Let m be 5/(5/(-3)) - 3. Let v = m + 9. What is the second derivative of 3*d**2 - v*d**2 + 5*d**3 + 3*d wrt d? 30*d Suppose -5*n = -0*n + 160. Let c = n - -37. Find the first derivative of -12*u**3 + c*u + 8 - 5*u wrt u. -36*u**2 Suppose c + 3*c - 32 = 4*l, 5*l = c - 28. Suppose -c*u = -4*u + 4. Find the second derivative of -s**4 - 5*s**u + 3*s - 6*s + 0*s wrt s. -72*s**2 What is the derivative of -30*j**2 + 7*j**2 + 3*j - 8 - 27 wrt j? -46*j + 3 Let h(c) be the s
{ "pile_set_name": "DM Mathematics" }
3*y + 3*w, 352 = -2*y - 5*w. What are the prime factors of y/a + (-2)/9? 3 Suppose 192 = -0*m + 3*m. Suppose 0 = 6*a - 2*a - m. List the prime factors of a. 2 Let c(x) = 2*x**2 + 6*x - 6. Let g be c(-7). Suppose -t = -1 - 1, 2*k - 2*t = 0. Suppose -7*y = -k*y - g. What are the prime factors of y? 2, 5 Let v(a) = a**2 - 2*a - 2. Let w be 4/(-3)*3/(-2). Let b be v(w). What are the prime factors of (b - -1) + 1*9? 2 Suppose -31 - 49 = 5*j. Let d = 6 - j. What are the prime factors of d? 2, 11 Let d be 1/(-3) - (-4)/(-6). Let t = d - -4. What are the prime factors of t/(2/18*3)? 3 Let a(m) = 5*m - 7. Suppose 0*s + 9 = s. Let p be a(s). Suppose 2*q = -2*z - 4 + p, 0 = z - 3*q + 3. List the prime factors of z. 2, 3 Let w = -46 + 84. Suppose 0 = 4*a + 2*x - 34, -3*a - 4*x + w = -0*a. What are the prime factors of a? 2, 3 List the prime factors of (3 + -3 - 1) + 46. 3, 5 Let n(v) = 3*v**2 + 3*v - 2. Let p = 7 + -10. Let d be n(p). Let k = d - 10. What are the prime factors of k? 2, 3 Let t(c) = -7*c**2 - 9*c + 3. Let s(d) = 3*d**2 + 4*d - 1. Let o(n) = 9*s(n) + 4*t(n). Let i be o(0). Suppose -51 = -i*h - 0*h. List the prime factors of h. 17 What are the prime factors of -44*1*3/(-1)? 2, 3, 11 Let b(t) be the second derivative of -t**4/12 + 7*t**3/6 + 3*t. List the prime factors of b(3). 2, 3 Suppose d = 5*d - 16. Let i = d - -4. What are the prime factors of i? 2 Suppose -6*t = -5*m - 2*t + 182, -25 = -m - 3*t. What are the prime factors of m? 2, 17 Let x(y) = 2*y + 4. Let j be (1 - 14/(-2)) + -1. Suppose 4*f = j*f - 12. List the prime factors of x(f). 2, 3 Let n be (4 + -20)/(1 - 0). Let b be n/(-12) - 2/(-3). Suppose 3*a - 4*s - 22 = -b*a, 5*a - 19 = 3*s. What are the prime factors of a? 2 Suppose 3*q + 71 = -4*d + 3, -2*q = 3*d + 47. List the prime factors of (-220)/q + 2/8. 2, 7 What are the prime factors of (-251)/(-4) + 10/8 + -1? 3, 7 Let i = 21 - 67. List the prime factors of 2 - (i - 3/(-1)). 3, 5 Let b = -20 - -42. What are the prime factors of b? 2, 11 Suppose -2*g - 56 + 262 = -4*l, 4*g - 386 = -5*l. List the prime factors of g. 3, 11 Let a = 5 + -1. Suppose -a*n + 7 = -5. Let r(t) = 2*t**2 - 3*t + 1. What are the prime factors of r(n)? 2, 5 Let b = 18 + 12. List the prime factors of b. 2, 3, 5 Let i = -12 - -4. Suppose 3*g - 19 = -3*t + 17, -2*g = 6. Let a = i + t. List the prime factors of a. 7 Let r = 10 - 13. What are the prime factors of (3/9)/(r/(-315))? 5, 7 Let n(m) = m**3 - 9*m**2 + 9*m - 8. Let c = 29 - 21. Let u be n(c). Suppose 0 = -u*y + 5*y - 10. What are the prime factors of y? 2 Let i be 38/8 + (-1)/(-4). Suppose 2*z = 10, 10*y + 3*z + 75 = i*y. Let h = y + 27. List the prime factors of h. 3 Let b(h) = h**2 + 11*h + 14. Let q be b(-10). Suppose -q*p + 3*p = -11. Let l = 2 + p. What are the prime factors of l? 13 Let d = 27 + -47. Let r be (-66)/15 + 12/d. Let c = 12 + r. What are the prime factors of c? 7 Let f(n) = 20*n + 1. What are the prime factors of f(3)? 61 Let j(h) = h**2 + 4*h - 6. Let f be j(-6). List the prime factors of f/(-27) + (-184)/(-18). 2, 5 Let m(s) = 7*s**2 + 2*s - 1. Let h be m(1). Suppose h = 4*a - 0. List the prime factors of a. 2 Suppose -k - 15 = -4*k. Suppose -2*j = k*o - 57, 4*j + o - 91 + 22 = 0. List the prime factors of j. 2 Suppose 2*u - 3*p = 151, 59 = 3*u - p - 178. List the prime factors of u. 2, 5 List the prime factors of -6*2/(-4)*29. 3, 29 Let f = 4 - -4. Suppose -23 = -q + 5*y, 0 = 2*q - 4*y - 14 - f. List the prime factors of q. 3 Suppose 5*f - 136 = -2*h + 76, -5*h = -5*f + 205. Suppose -2*m + f = 10. Suppose -1 = 5*d - m. List the prime factors of d. 3 Suppose 0*w - w = 0. Suppose 0 = 3*u - 3*j + 3, u - 6*u + 4 = 4*j. Suppose u*m - 3*m + 21 = w. List the prime factors of m. 7 Suppose 0 = 2*d - w - 312, -w - 509 = -5*d + 268. What are the prime factors of d? 5, 31 Suppose -4*p = 3*x - 72, x - 125 = -5*p + 6*x. Let f = p + -13. List the prime factors of f. 2 Let x = -18 - -166. What are the prime factors of x? 2, 37 Let r be 0 + -1 + 1 + -2. Let y = 10 - r. Suppose -4*k + 40 = -2*i - 0*i, -5*i + y = 4*k. List the prime factors of k. 2 List the prime factors of (-1)/4 - ((-153)/(-4))/(-1). 2, 19 Suppose -2*r - 14 = -4*h, 0*h - 4*r = h - 8. List the prime factors of h. 2 Suppose 0 = -5*q - 5*d + 25, 7 = 2*q + d + 4*d. List the prime factors of q. 2, 3 Let k = 2 - -1. Suppose -5*z + 4*i + 82 = 0, 0 = k*z - z + i - 25. What are the prime factors of 6/(-4)*z/(-3)? 7 Let i = 30 + -12. Suppose 2 + 8 = 5*a. Suppose 0*n - i = -a*n. List the prime factors of n. 3 Let v = 125 + -86. List the prime factors of v. 3, 13 Let i = 11 + -7. Suppose -5*k + i = -2*v - 2, -4*v = 2*k - 12. Suppose 0*z - k*z + 20 = -5*a, 4*z = -4*a + 12. What are the prime factors of z? 5 What are the prime factors of (4/6)/(4/54)? 3 Suppose 102 = -2*x + 5*x. Suppose -4*r = -i + 2, -4*r + x = 4*i + i. What are the prime factors of i/(-12) + 34/4? 2 Suppose -4 = 4*t, 5*t = -k + 4*k - 785. What are the prime factors of k? 2, 5, 13 Let h(n) be the second derivative of n**3/6 - 3*n**2 - 3*n. List the prime factors of h(9). 3 Let g(c) = -1 - c**2 + 2*c**2 + 1 - 1 + 3*c. What are the prime factors of g(-4)? 3 What are the prime factors of (-4940)/(-55) + (-4)/(-22)? 2, 3, 5 Suppose v + 3 = 4*b, 4*b - 2*v - 12 = 2*v. Let n(j) = j + 5. What are the prime factors of n(b)? 5 Let c = 1 + -2. Let w(s) = s**2 + 3*s + 3. Let f be w(-2). Let r = f - c. What are the prime factors of r? 2 Suppose 1 = -8*v + 9*v. Suppose v = 2*l - 15. List the prime factors of l. 2 Let s(g) = g**3 + 7*g**2 - 9*g - 5. Let x be s(-8). Let c = x - -27. What are the prime factors of c? 2, 3, 5 Let h(r) = -5*r**2 + 16*r - 8. Let g(i) = -i**2 + 4*i - 2. Let b(p) = 9*g(p) - 2*h(p). Let o be b(-3). What are the prime factors of o/15 - 32/(-6)? 5 Let s(i) = 17*i - 8. What are the prime factors of s(9)? 5, 29 Suppose -4*a - 2*h + 156 = -7*h, -140 = -4*a + h. List the prime factors of a. 2, 17 Suppose 4*o - 15 = 3*y - 4*y, -23 = 3*y - 5*o. What are the prime factors of y - -10 - (-1 - -3)? 7 Let l(o) = -o + 34. List the prime factors of l(18). 2 Let d = 58 - 54. What are the prime factors of d? 2 Let s = -21 + 36. List the prime factors of (9/(-3) - -2) + s. 2, 7 Suppose 7 = 2*k + 35. Let c = k - -25. List the prime factors of c. 11 Suppose -2*y + 5*g + 90 = 0, 3*y + 4*g = 2*y + 32. What are the prime factors of y? 2, 5 Suppose 3*v + 4*t + 110 = 0, -140 = 5*v - 2*t - 0*t. Let p = v + 54. List the prime factors of p. 2, 3 Let x(i) = -i**2 - 11*i - 11. Let z be x(-9). Let m(o) = 3*o - 9. List the prime factors of m(z). 2, 3 Let b(p) = -3*p**3 - 10*p**2 - 2*p - 5. What are the prime factors of b(-4)? 5, 7 Let i(n) = n**3 + 3*n**2 - n - 4. Let d be i(-3). What are the prime factors of d*2*(-6 - -1)? 2, 5 Suppose 3*t + 91 - 8 = 2*q, -4*t = -12. List the prime factors of q. 2, 23 Let t = 2 - 6. Let x = -1 - t. Suppose -7*i + 40 = -x*i. List the prime factors of i. 2, 5 Suppose -5*j - 4*m = 0, -2*m = j - 0*m. Suppose j = 4*i - 5*t + 2*t - 79, -5*t = 25. What are the prime factors of i? 2 Suppose 0 = r - 21 + 6. Suppose 3*b - r = -0. Suppose -5*p + 20 = b. What are the prime factors of p? 3 Let m be ((-147)/(-28))/(3/8). Let i be 1 + (-2)/4*-2. Let y = m - i. What are the prime factors of y? 2, 3 Let j = -11 - -14. What are the prime factors of j? 3 Let v be 4 - (-2 + 0)/(-2). Let m(f) = -v + f**2 + 0*f + f + 3 - 2. List the prime factors of m(2). 2 Suppose -v = -3*t + 847, 2*t - 4*t = -3*v - 553. What are the prime factors of t? 2, 71 Let z(n) = -2*n + 9. Let x be z(6). List the prime factors of 32*x/(-4)*1. 2, 3 Suppose 0 = -0*s + 4*s - 392. Suppose 2*v + 110 = 3*m, 2*m + v = -m + s. What are the prime factors of m? 2, 17 Let l = -2 + 7. Suppose -3*f + l*m + 34 = 0, 2 = -5*f - 5*m - 8. Suppose -5*w = -3*a + 41, -f*a - 4*w + 20 = -a. List the prime factors of a. 2, 3 Let x be 3/(3/2) - 42. Let u be (-2)/7 - x/(-7). List the prime factors of ((-10)/(-3))/((-4)/u). 5 Let x(k) = -k + 1. Let t be x(-1). Suppose t*v + 2*v = 108. List the prime factors of v. 3 Let f = 19 - 22. Suppose -3*l = -9, -l = -0*b - 2*b + 13. Let r = b - f. List the prime factors of r. 11 Suppose 0 = -3*f - 26 - 7. Let t = f + 16. List the prime factors of t. 5 Let v(m) = -m**3 + 4*m**2 + m - 3. Let c
{ "pile_set_name": "DM Mathematics" }
657*u**2 + 149*u + 149. Determine w(-1). 657 Let k(d) = -d**2 + 36*d + 238. Calculate k(38). 162 Let l(y) = 2*y**2 - 17*y + 57. Determine l(15). 252 Let k(r) = 12*r**2 - 17*r - 46. Give k(-3). 113 Let x(z) = -186*z**3 - 3*z**2 + z + 2. Give x(-1). 184 Let m(i) = -2*i**3 + 24*i**2 + 29*i - 6. What is m(13)? 33 Let f(h) = -h**3 + 15*h**2 - 5*h + 23. Give f(12). 395 Let s(n) = 9*n**2 + 111*n + 6. Calculate s(-13). 84 Let r(z) = 12*z**2 + 560*z - 84. Give r(-47). 104 Let k(y) = -36610*y + 183049. What is k(5)? -1 Let f(w) = -11*w + 312. Determine f(35). -73 Let h(b) = -5175*b + 31052. Determine h(6). 2 Let v(g) = -2*g**3 - g + 42. Give v(5). -213 Let u(y) = -214*y + 1010. Determine u(6). -274 Let n(f) = 8*f**2 + 131*f + 51. Calculate n(-16). 3 Let v(x) = -41*x + 2340. Give v(69). -489 Let c(s) = -44*s**2 + 1011*s + 13. Determine c(23). -10 Let n(g) = -43*g**2 + 2657*g + 3275. Determine n(63). -1 Let d(v) = -v**2 - 48*v - 335. What is d(-8)? -15 Let g(h) = 166*h - 15107. What is g(91)? -1 Let b(h) = -h**3 + 25*h**2 - 81*h + 300. Give b(23). -505 Let j(c) = -30*c**2 - 37*c + 69. Give j(2). -125 Let h(f) = 32*f - 164. Determine h(9). 124 Let y(n) = n**3 + 33*n**2 + 60*n - 71. Calculate y(-31). -9 Let c(n) = n**2 + 49*n + 276. Give c(-7). -18 Let k(o) = 7*o**2 + 136*o + 85. What is k(-19)? 28 Let i(j) = j**3 + 9*j**2 + 17*j + 4. Determine i(-4). 16 Let k(w) = w**3 - 22*w**2 + 27*w + 59. Determine k(20). -201 Let r(h) = 8*h - 519. Calculate r(65). 1 Let u(w) = -w**2 + 23*w + 126. What is u(30)? -84 Let p(d) = 32*d + 689. Determine p(-20). 49 Let q(f) = 20*f**3 + 1297*f**2 - 190*f + 316. Determine q(-65). -9 Let m(k) = -k**3 + 52*k**2 - 252*k + 794. Determine m(47). -5 Let s(y) = 2*y**3 + 2*y**2 - 12*y + 3. What is s(-3)? 3 Let q(l) = l**3 - 26*l**2 + 30*l - 149. What is q(25)? -24 Let p(r) = r**3 - 43*r**2 - 5*r + 241. Give p(43). 26 Let x(o) = -14*o**2 - 193*o - 169. Give x(-13). -26 Let q(i) = 79*i + 22514. Determine q(-285). -1 Let r(h) = 3*h**3 + 13*h**2 + 57*h + 130. Give r(-3). -5 Let d(q) = -q**3 + 29*q**2 - 2*q + 62. What is d(29)? 4 Let o(f) = -36*f - 2058. Give o(-57). -6 Let m(s) = -2*s**3 + 20*s**2 - 4*s - 149. Determine m(8). 75 Let z(b) = 6*b - 95. Calculate z(14). -11 Let u(g) = g**3 + 34*g**2 - 123*g - 514. Give u(-37). -70 Let j(y) = 61*y + 6346. Give j(-104). 2 Let z(u) = -167*u + 11508. Calculate z(69). -15 Let s(o) = -351*o - 2108. What is s(-6)? -2 Let z(l) = 4*l**2 + 172*l - 895. Calculate z(5). 65 Let v(b) = 61*b**2 - 41*b + 41. Give v(1). 61 Let d(j) = j**3 + 5*j**2 - j + 10. Calculate d(-4). 30 Let t(i) = 124*i**2 - 2*i + 3. Determine t(-2). 503 Let q(n) = 4*n**2 + 259*n + 3658. Determine q(-44). 6 Let x(g) = g**3 + 21*g**2 + 29*g - 11. Calculate x(-2). 7 Let y(r) = -24*r**2 + 52*r - 51. Calculate y(1). -23 Let r(q) = q**2 - 10*q - 523. Determine r(-18). -19 Let m(p) = p**3 + 89*p**2 + p + 96. Determine m(-89). 7 Let t(m) = -2*m**3 + 16*m**2 + 4*m - 7. Determine t(9). -133 Let v(i) = i**2 - 14*i + 56. Give v(10). 16 Let k(l) = -78*l**2 - 614*l + 87. Determine k(-8). 7 Let a(c) = 2*c**2 - 52*c - 618. Determine a(40). 502 Let b(z) = z**2 + 218*z + 9857. What is b(-64)? 1 Let w(v) = 118*v**2 - 21*v - 4. Determine w(-1). 135 Let x(n) = 19*n - 1602. Determine x(84). -6 Let f(v) = v**2 - 29*v - 202. What is f(-6)? 8 Let f(v) = v**2 - 43*v + 121. Calculate f(46). 259 Let c(x) = 2*x**2 - 63*x + 23. Calculate c(32). 55 Let b(o) = 2*o**2 - 55*o - 110. Give b(25). -235 Let s(d) = -17*d + 506. What is s(16)? 234 Let k(m) = m**2 - 60*m - 4285. Give k(-42). -1 Let f(t) = -85*t**2 + 4*t + 1. Give f(-1). -88 Let v(c) = 24*c - 84. Calculate v(-17). -492 Let l(n) = 6*n + 30. Calculate l(-65). -360 Let a(g) = -6*g**3 - 49*g**2 + 17*g + 206. Determine a(-8). 6 Let t(o) = 2*o**2 - 118*o - 5576. What is t(-31)? 4 Let x(v) = -177*v - 8327. Calculate x(-47). -8 Let r(y) = -7*y**3 + 46*y**2 - 17*y + 17. Give r(7). -249 Let s(u) = -13*u**2 + 6*u + 25. What is s(0)? 25 Let k(b) = -b**2 - 307*b - 1221. Determine k(-4). -9 Let h(c) = -c**3 + 83*c**2 - 67*c - 1165. Determine h(82). 65 Let c(l) = l**2 + 35*l - 282. Determine c(10). 168 Let m(o) = o**2 - 12*o - 24. Determine m(-2). 4 Let z(p) = -p**2 - 35*p - 122. What is z(-7)? 74 Let p(c) = c**2 - 33*c - 2487. Give p(-36). -3 Let y(u) = -8*u**2 - 5*u - 86. Give y(-6). -344 Let z(s) = -22*s + 196. What is z(22)? -288 Let c(j) = j**2 - 511*j + 1016. Calculate c(2). -2 Let c(f) = -13*f**2 + 24*f + 36. Calculate c(2). 32 Let m(f) = 2*f**2 + 2349*f + 7038. Determine m(-3). 9 Let d(g) = 195*g + 206. Determine d(-1). 11 Let g(c) = c**2 - 952*c - 8678. Give g(-9). -29 Let w(k) = -3*k**2 + 122*k - 258. What is w(40)? -178 Let a(u) = -456*u - 416. Calculate a(-1). 40 Let g(a) = -93*a**3 + 4*a**2 + 2*a + 2. Give g(-1). 97 Let b(l) = -22*l**2 + 12*l - 24. Calculate b(2). -88 Let v(h) = 75*h + 3459. Give v(-46). 9 Let i(n) = -n**2 - 42*n - 432. Determine i(-23). 5 Let y(p) = -p**3 - 20*p**2 - 10*p - 37. Determine y(-19). -208 Let j(t) = -74*t - 86. What is j(-1)? -12 Let i(v) = -v**3 - 8*v**2 - 40*v + 524. Determine i(5). -1 Let r(v) = v**3 - 5*v**2 - 9*v + 56. Give r(5). 11 Let v(h) = -238*h**3 - 84*h**2 + 5*h. Calculate v(-1). 149 Let l(j) = 4*j**2 - 68*j - 1919. Calculate l(-15). 1 Let a(j) = j**3 + 30*j**2 - 33*j - 126. Calculate a(-31). -64 Let q(z) = -2*z**3 - 7*z**2 - 8*z + 13. Determine q(-4). 61 Let h(y) = -y**3 - 34*y**2 - 144*y + 27. Determine h(-29). -2 Let y(d) = -1003*d + 4987. Calculate y(5). -28 Let l(i) = -42*i - 627. Give l(-10). -207 Let b(v) = -2*v**3 - 81*v**2 - 106*v + 418. Give b(-39). -11 Let n(p) = 80*p - 698. Determine n(8). -58 Let a(l) = -2882*l + 478408. What is a(166)? -4 Let m(t) = -2*t**3 - 2*t**2 - 7*t + 12. Calculate m(3). -81 Let u(s) = 26*s - 674. Determine u(36). 262 Let j(p) = -p**2 + 88*p + 2244. Calculate j(-20). 84 Let g(d) = -d**2 - 348*d + 168643. Calculate g(272). 3 Let b(x) = -x**3 + 18*x**2 - 71*x - 39. What is b(7)? 3 Let w(y) = -y**3 - 13*y**2 - 24*y - 85. Determine w(-11). -63 Let h(y) = -y**2 + y + 88. What is h(-11)? -44 Let f(s) = -2832*s + 62311. Calculate f(22). 7 Let q(u) = -9*u**2 + 116*u + 638. Calculate q(17). 9 Let q(m) = 40*m**3 + 6*m**2 - 9*m - 14. Calculate q(-1). -39 Let b(k) = -32*k**2 + 6*k + 14. What is b(-2)? -126 Let g(w) = w**2 - 72*w + 612. What is g(9)? 45 Let f(v) = -v**3 + 2*v**2 + 3*v - 48. Give f(0). -48 Let v(s) = 3*s**3 - 368*s**2 - 128*s + 773. What is v(123)? 158 Let q(c) = 6*c**3 + 29*c**2 - 38*c + 7. Give q(1). 4 Let o(s) = s**2 + 17*s - 79. Give o(4). 5 Let j(h) = -h**2 - 3209*h + 77596. Determine j(24). 4 Let z(n) = -n**3 + n**2 + 26*n + 4. Calculate z(-6). 100 Let u(f) = -54*f - 485. What is u(-9)? 1 Let g(p) = -2*p**3 + p**2 + 4*p + 15. Give g(7). -594 Let d(c) = -35*c**2 + 21*c + 22. Calculate d(-1). -34 Let a(o) = 2*o**3 + 8*o**2 + 11*o + 1. What is a(-2)? -5 Let a(u) = -22*u + 1558. Calculate a(58). 282 Let n(s) = 83*s - 1658. Determine n(21). 85 Let o(j) = 2*j**2 - 423*j - 5819. Calculate o(-13). 18 Let w(g) = 6*g**3 + 14*g + 12. Determine w(-2). -64 Let g(i) = -i**2 - i - 12. What is g(-4)? -24 Let v(q) = 25*q - 416. Give v(16). -16 Let n(d) = d**3 - 3*d**2 + 38. Give n(-4). -74 Let t(w) = 20*w + 826. Give t(-43). -34 Let z(t) = 10*t**2 - 293*t + 46. Determine z(29). -41 Let f(m) = -14*m**2 - 129*m - 4. Determine f(-9). 23 Let j(n) = -635*n**2 - 1911*n - 13. Determine j(-3). 5 Let b(l) = -l**2 + 71*l + 2784. Give b(99). 12 Let o(t) = -t**2 - 2180*t - 17370. Determine o(-8). 6 Let r(h) = h**2 - 113*h + 3171. Determine r(61). -1 Let q(g) = -62*g**2 - 688*g - 7. Calculate q(-11). 59 Let i(y) = 15*y**2 - 200*y + 64. Determine i(13). -1 Let w(l) = 11*l**2 + 11*l - 26. Give w(-7). 436 Let s(u) = -10*u**3 + 4*u**2 + 2*u. What is s(-1)? 12 Let u(z) = 5*z**2 + 43*z - 61. Determine u(-12). 143 Let r(c) = 6*c**2 - 46*c + 17. Calculate r(7). -11 Let j(h) = h**2 + 84*h - 446. Give j(-85). -361 Let t(k) = -k**3 + 68*k**2 - 30*k - 2456. What is t(67)? 23 Let o(k) = -1107*k**3 + 26570*k**2 - 47*k - 23. Give o(24). 1 Let y(i) = 2171*i + 15191. Calculate y(-7). -6 Let w(x) = -17*x**2 + 127*x + 84. Determine w(8). 12 Let k(x) = x**3 + 4*x**2 - 10*x + 26. What is k(-6)? 14 Let x(y) = y**2 - 33*y + 228. Determine x(23). -2 Let q(g) = 2*g**2 - g +
{ "pile_set_name": "DM Mathematics" }
et s(r) = -3*r**2 + 5*r - 5. Give s(i). -33 Let b be (-2)/5 - 615/25. Let y = -23 - b. Let i(m) = 4 - 5*m**y + 10*m**2 + 6*m - 5*m + m**3. Calculate i(-5). -1 Let v(j) = -4*j + 62. Let u(k) = -55*k - 814. Let o be u(-15). Calculate v(o). 18 Let s = -12287 + 12287. Let h(q) be the third derivative of 0 + s*q + 30*q**2 + 0*q**4 + 1/120*q**6 - 1/6*q**3 + 1/60*q**5. What is h(1)? 1 Let n(y) = 7 + 2443795*y**2 - 1 - 2*y - 2443794*y**2. Give n(12). 126 Let d(p) = p + 5. Let s(y) = -4*y**2 + y. Let t be s(1). Let m = -3446 + 3447. Let g(w) = w. Let f(i) = m*d(i) + t*g(i). Give f(7). -9 Let r(l) = 15*l**2 + 0*l - 6*l**2 - l + 6*l + l**3 - 10. Let f(x) = x**2 + 5*x - 92. Suppose -91 + 252 = 23*k. Let t be f(k). Determine r(t). 14 Let s be 2/(-11)*(6 - 17). Let q(v) = -47*v + 148*v - 49*v + v**s - 50*v + 3. Give q(-3). 6 Let s(w) = 79 - 7*w + 4 - 34 - 22. Calculate s(2). 13 Let q(r) = -r**2 - 160*r - 2036. Let l be q(-14). Let i(b) = b**3 - 10*b**2 - 1. What is i(l)? -129 Suppose -12 = 2*w - 4*j, 3*w + 4*j = -250 + 262. Let o(y) = -y**3 - 3*y**2 + 32. Calculate o(w). 32 Let b(l) = 2 - 19 - 15 + 32 + l. Let x(i) = i**3 + 5*i**2 + 4*i + 1. Let j be x(-4). Calculate b(j). 1 Suppose 9*a - 30 = 15. Suppose 2*o + 0*w + w = -1, 2*o = 5*w + a. Let p(i) = -i**3 + i**2 - i + 2. Determine p(o). 2 Suppose 12 = -4*k + 2*g, 0*g - 12 = 4*k + g. Let r = k + 8. Let c(d) = d**3 + 22*d - 16*d - 7 + 7 - 1 - 6*d**2. Calculate c(r). 4 Let q(g) = -2*g**2 + 14*g - 18. Suppose -2*b + 3 = 9, -4*f + 2*b - 14 = 0. Let z be ((-2)/f)/((-2)/(-30)). Determine q(z). -6 Let o(t) be the third derivative of 0 + 1/12*t**4 + 2*t**2 + 1/6*t**3 + 1/60*t**5 - 2*t. Let b be -2 - ((-1)/1)/1. What is o(b)? 0 Let u(f) = -f**3 - 19 + 37 - 31*f**2 - 23 + 24*f - f**3 + 53*f**2. Calculate u(12). -5 Let z(q) = 72 + 6*q - 26 - 62 - 38. Let b be z(10). Let c(r) = r**2 - 6*r + 8. Calculate c(b). 8 Suppose -c = 8 - 0. Let u(t) be the second derivative of -t**3/6 - 6*t**2 - 3*t + 650. Determine u(c). -4 Let d(u) = -12*u**2 - 458*u - 784. Let x(l) = 2*l**2 + 88*l + 157. Let n(i) = 2*d(i) + 11*x(i). Determine n(-3). -15 Let c(g) be the third derivative of -37*g**4/24 - 2*g**3/3 - 2*g**2 - 2010*g. What is c(3)? -115 Let u(o) = 3*o. Let w = 0 + 3. Suppose -2*q + 4*d + 24 = 0, -2*q + 2*d + 11 = -w. Determine u(q). 6 Suppose 6 = -4*k + 2*i + 28, 0 = 4*k + 4*i - 52. Let r(w) = -4*w - 4 - k*w + 5*w + 6*w. Let o(u) = u**2 - 4*u + 3. Let f be o(3). What is r(f)? -4 Suppose 0 = 9*u - 7004 - 14389. Let r(p) = u*p + 5 - 2376*p + 0. What is r(0)? 5 Let k(r) = -r**3 + 10*r**2 - 2*r + 13. Let v be k(10). Suppose -3*x - 7 = -3*f - 2*x, 3*f - 2 = -4*x. Let t(z) = -2 - 4 - f + 18*z - 19*z. Determine t(v). -1 Suppose v + 0 = -5*h + 3, 0 = -h. Let f(d) = 2*d**3 - 2*d**2 + 8*d - 2. Let n(k) = 4*k**3 - 5*k**2 + 15*k - 4. Let o(j) = 5*f(j) - 3*n(j). Determine o(v). -22 Suppose 0 = -3*h + 4 - 1. Let v = 637 - 391. Let l(w) = -v*w**3 + 495*w**3 - 246*w**3. Determine l(h). 3 Let r(b) = b + 30. Let i = 2291 - 2299. Calculate r(i). 22 Let m = 114 + -107. Suppose 0 = m*f - 11 - 3. Let h(c) = 0*c - 4*c**3 + 2*c + c**f + 7*c**3 + 2 - 2*c**3. What is h(-2)? -6 Let p(y) be the third derivative of -y**6/120 - 7*y**5/60 - y**4/4 - 4*y**3/3 + 2*y**2. Suppose -11*k = -32*k + 9*k - 72. What is p(k)? -8 Let t = 13 - 25. Let l be t/((-2)/6 + 16/(-24)). Let x = -8 + l. Let p(i) = i - 1. Calculate p(x). 3 Let j(n) = -n**3 - 7*n**2 + 2*n + 7. Suppose 2*u = -3*u - 165. Let l = u + 38. Suppose -l = -2*o - 1, -5*z + 3*o = 41. What is j(z)? -7 Let c be ((-22)/4 + 1)*936/(-108). Let s be (-7)/(-3) + (-2)/6*1. Let i(x) = -c*x + s - 35*x + 75*x. Calculate i(-9). -7 Let f(m) = m - 25. Suppose 24*n - 16*n = 96. Let u(c) = 4*c - 48. Let w be u(n). What is f(w)? -25 Suppose 11*u - 17 = 27. Let x(d) = 4*d - 2. Determine x(u). 14 Let k(x) = x**2 + 39*x + 103. Suppose -m - 9 = 5*l + 17, m - 3*l = -42. Calculate k(m). -5 Let d(h) = -5*h + 8*h**2 + h + 10*h - 17 + 2*h + h**3 + 2*h**2. Determine d(-9). -8 Let o(p) = -2 + 0*p**2 + p**2 + 17*p - 8*p + 0*p**2. Suppose -209 = 26*u - 1. Calculate o(u). -10 Let o(q) be the first derivative of -5*q**2/2 + 44*q - 126. Let t(u) = -14*u + 125. Let m(l) = -17*o(l) + 6*t(l). Determine m(3). 5 Suppose 0 = -5*g + 8*g - 6, g = -4*k + 2. Let r(p) = -5*p + 2 + p**3 + 4*p + k*p + p**2. Suppose -n = -3, 3*f + n - 8 = 1. Give r(f). 12 Let d(o) = -8*o**3 - 4*o**2 + 2*o + 5. Let r(w) = 9*w**3 + 3*w**2 - w - 4. Let s(n) = -5*n - 244. Let p be s(-48). Let j(v) = p*r(v) - 3*d(v). Give j(1). -13 Let d(f) be the third derivative of 7*f**4/4 + 23*f**3/2 + 2407*f**2. Give d(-2). -15 Suppose 2*k + p - 4*p = 1, -3*k = -5*p - 1. Let g(n) be the second derivative of n**4/6 - 2*n**3/3 + 3*n**2/2 + 30*n + 49. Calculate g(k). 3 Let q(l) = l**3 - 12*l**2 + 10*l + 14. Let i be q(11). Let d be 10*((-45)/18 + i). Let m(f) = -f**3 + 6*f**2 - 6*f - 2. Give m(d). -7 Let y(q) be the first derivative of -q**4/2 - 2*q**3/3 - 5*q**2/2 - 4*q - 124. Determine y(-3). 47 Let n(p) = -p**3 - p**2 + 2*p + 4. Let r(g) = 6*g**3 + 12*g**2 - 26*g - 94. Let t(z) = 5*n(z) + r(z). Determine t(-8). -10 Let c(j) = -j**3 - 3*j**2 + 12*j + 6. Let r be c(-5). Let a be r - 0 - (-19 + 3). Let u(x) = -10*x**2 - x + 3*x**3 + a*x**2 - 2*x**3 - 3*x**2. What is u(-1)? -1 Suppose -2*m + x = -4*x - 972, 0 = m - 4*x - 480. Suppose 0 = -2*w - m + 518. Let h(p) = p**3 - 10*p**2 - 9*p - 7. Give h(w). 15 Let u(v) = 2*v**3 - 24*v**2 + v - 11. Let a be (-216)/(-360)*10*2. Give u(a). 1 Let h(x) = -15*x**2 + 83*x + 31. Let i(q) = 104*q**2 - 569*q - 216. Let p(f) = 41*h(f) + 6*i(f). Determine p(-3). 89 Suppose 8*q + 7 + 33 = 0. Let r be (-47)/5*q*(3 + -2). Suppose 5*b = z + 42, r - 17 = 4*b + z. Let v(o) = o - 16. Give v(b). -8 Let n(v) = 17*v**3 - 162*v**2 + 4*v + 606. Let r(z) = 3*z**3 - 33*z**2 + z + 121. Let o(h) = 2*n(h) - 11*r(h). What is o(-39)? -2 Let t(w) = w**3 - w**2 - w + 2. Let j(s) = -11*s - 50. Let x be j(-14). Let p = x - 101. Determine t(p). 17 Let t(g) = -11*g - 22. Let x(y) = 35*y + 66. Let u(l) = -7*t(l) - 2*x(l). What is u(-4)? -6 Let r(t) be the second derivative of -13*t**3/3 - 4*t**2 + 980*t + 3. What is r(-2)? 44 Let b(f) = -f**2 + f + 7. Suppose 0 = 24*x - 119 + 47. What is b(x)? 1 Suppose -23*r + 2 - 63 = 123. Let i(c) = c**2 + 7*c - 27. What is i(r)? -19 Let g(x) = 4*x + 14. Let y(i) be the second derivative of -i**3/6 - 2*i**2 + 2*i + 14. Let h(j) = -3*g(j) - 8*y(j). Calculate h(-8). 22 Let l(s) = s - 4*s + 2*s. Suppose -4*k = 4*j - 16, -3*j + 7 - 51 = -4*k. Suppose 5*y - k = 17. Calculate l(y). -5 Let o(j) = 3*j**3 - 2*j**2 + 4*j**2 + 661 - 657 + 2*j - j + j**2. What is o(3)? 115 Let u(r) = -4*r - 30. Let t(a) = -a**3 - 18*a**2 + 68*a + 90. Let x be t(-21). Determine u(x). 30 Let r(i) = -49*i**2 + 43*i. Let t be r(1). Let p(a) = 5*a + 28. Give p(t). -2 Suppose 22*r - 34 + 8 = 40. Let o(x) be the second derivative of -11*x + 0 - 1/6*x**r + 13/2*x**2. Determine o(0). 13 Let m(z) = 3*z**2 + 11*z + 40. Let l(x) = 5*x**2 + 10*x + 43. Let s(t) = -2*l(t) + 3*m(t). Give s(11). 56 Let n(h) = 3*h**3 + 3*h**2 + 3*h + 8. Let p(w) = 5*w**3 + 5*w**2 + w + 7. Let f(l) = 3*n(l) - 2*p(l). Give f(3). -5 Let m(v) = 9*v. Let o = 375 + -373. Suppose 41*g - 42*g = o. What is m(g)? -18 Let d = -4920 - -4910. Let o(w) = -w**2 - 7*w + 25. Give o(d). -5 Let p(l) = -l**3 + 10*l**2 - 9*l + 2. Let z = 13 + -14. Let d be (-1)/(-3)*(2 - -1) + z. Suppose -3*n + 6*n - 11 = 4*y, -y + 4 = d. Determine p(n). 2 Let s be ((-357)/(-476))/(-2*(-1)/8). Suppose -n - 7 = 4*q + s, 4*q + 2*n = -12. Let h(m) = -19*m + 2. Determine h(q). 40 Let x(u) = -18*u - 87*u + 144*u + 25 - 26*u + u**2. Determine x(-5). -15 Let d = -108 - -111. Let o(a) = 2*a + 2. Let w be o(d). Let j(c) = c**2 - 8*c + 3. What is j(w)? 3 Let t(q) = -q**3 - 4*q**2 - 2*q + 4. Let d(p) = -p**2 + 20*p - 69. Let x be d(16). Let a be (-7 + 15)/(x - -3). Give t(a). 12 Let v(k) = 1 - 9*k + 12 + 2*k**2 - 12*k. Suppose 0 = -60*w + 4308 - 3708. What is v(w)? 3 Let m(z) = z**2 + 19*z + 66. Let p be m(-3). Let j(a) = 10*a - 2 - 38*a + p*a + 11*a. What is j(1)? -1 Let p = -118 + 150. Suppose -10*v + p = -26*v. Let m(o) = 2*o**3 - 2*o**2 - 2*o - 1. Give m(v). -21 Suppose -3 = -3*h, -2*p + 3*p + 14 = h. Let c(f) = -5 - 10*f + 11*f + 24. Determine c(p). 6 L
{ "pile_set_name": "DM Mathematics" }
xpand -3*x**2 + 2*x**2 + 2*x**2 + (3*x**2 - x**2 + 0*x**2)*(2 - 2 + 1) + (1 - 1 + 2*x)*(4 + 2*x - 4) - 3*x**2 + 2*x**2 - x**2. 5*x**2 Expand ((-y**2 + y**2 - y**2)*(-6*y**2 + y**2 + 3*y**2) + 2*y**3 - 2*y**3 + 2*y**4)*(-3 + 4 - 3). -8*y**4 Expand 1 - 1 + 2*k**3 + (-2 - 1 + 2)*(-k**2 + 3*k**2 + 0*k**2)*(14*k + 3*k + 15*k). -62*k**3 Expand -2*u - u**2 + 2*u + (4*u**2 - 4*u**2 + 2*u**2)*(2 + 0 - 1) + (-5*u + u + 5*u)*(2 - 2 + 2*u). 3*u**2 Expand (3*u**2 + u**2 - 3*u**2)*(2*u - 4*u + 3*u) - 270 + 270 + 16*u**3. 17*u**3 Expand -83*u**5 + 42*u**5 + 47*u**5 + (2*u**4 + 0*u**4 - 3*u**4)*(-3*u + 3*u - u) + 0*u**5 - 3*u**5 + 2*u**5. 6*u**5 Expand (-1 - u + 1)*(-u + 2 + 0*u + 4). u**2 - 6*u Expand 12*p - 38*p + p + 3*p + 2*p - 4*p + (5*p - p - 2*p)*(-3 + 1 + 1) - 2 + 2 - p - 3*p + p + 0*p. -29*p Expand (4*j**3 + j**4 - 4*j**3)*(12 - 1 + 0). 11*j**4 Expand 0*u**5 - u**5 + 0*u**5 + (-2*u + 2*u + 2*u)*(3*u**4 - 5*u**4 + 4*u**4) - 6*u**5 + 3*u**3 - 3*u**3. -3*u**5 Expand 10*o**3 + 5*o**3 + 5*o**3 + (o + o - o)*(-o + o - 2*o**2). 18*o**3 Expand (-30*y + 5*y - 2*y)*(4 - 2 - 3). 27*y Expand -13*o + 13*o + 8*o**2 - 2*o**2 - 2*o**2 + 5*o**2 + (1 + 0 + 0)*(-2*o**2 - 4 + 4). 7*o**2 Expand (-4*y**3 + 4*y**3 - 5*y**4 + 2)*(2*y - 3*y + 2*y) + y + y**5 - y + (-5 + 2*y**3 + 5)*(y**2 + 0*y**2 + 0*y**2). -2*y**5 + 2*y Expand (3*i**2 - 3*i**2 + 3*i**2)*(5 + i - 2 + 0*i). 3*i**3 + 9*i**2 Expand -4*w**3 - w**3 - 3*w**3 + (2*w + 3*w - 4*w)*(w**2 + 2*w**2 - 4*w**2). -9*w**3 Expand -2*r**5 - r**5 + 2*r**5 + (-2*r**2 - 2*r**2 + 2*r**2)*(r**3 - r**3 - 2*r**3) + (2*r + 3*r - 2*r)*(-3*r - r**4 + 3*r) + 0 + 0 - 2*r**5. -2*r**5 Expand (3 + 14*r**2 - 6*r**2 - 11*r**2)*(-4*r**2 - 2*r**2 + 5*r**2). 3*r**4 - 3*r**2 Expand 5*j - 2*j - 2*j + (4 + 2 - 4)*(3*j + 3*j - 4*j) - 3*j + j + j. 4*j Expand 2*z**2 - 1 + 1 - 5*z**2 + 6*z**2 + z**2 + (-2 + 0 + 4)*(-z**2 - z**2 + 4*z**2) - 97*z**2 + 102*z**2 + 48*z**2. 61*z**2 Expand (0*q + 3*q - 2*q)*(2 - 5 - 2)*(5 - 3 - 3 - q**2). 5*q**3 + 5*q Expand (3*j**2 + j**2 - 2*j**2)*(-6*j**3 - 14*j**3 - 3*j**3). -46*j**5 Expand 35*v - 19*v - 14*v + (0 + 0 - v)*(0 - 1 + 2). v Expand 4*a - a - a - 2*a - 3 + 3 + (2 + 0 + 0)*(a - 6*a + a) - 3*a - 3*a + 4*a. -10*a Expand (2 - 1 - 3)*(2*w + 2*w - 3*w) + 3*w + 2*w - 2*w. w Expand (0*b**3 - b**3 + 0*b**3)*(28*b - 16*b + 2*b). -14*b**4 Expand (1 - 1 - h)*(-h**2 - 4*h**2 + 3*h**2) - 2*h**3 - 2*h**3 + 3*h**3. h**3 Expand (-4 + 4 - 2*f + 1)*(-2 + 2 + 2*f)*(-3*f**2 - 11*f**3 + 3*f**2). 44*f**5 - 22*f**4 Expand -o**5 + 5*o**5 - 3*o**5 + o**4 + 0*o**5 + o**5 - 3*o**5 + (-2*o + o**3 + 2*o)*(o**2 - 2*o**2 - o**2) + 3*o**5 + o**5 - 2*o**5. -o**5 + o**4 Expand (n - 1 + 1)*(0 + 1 + 8)*(n - 3*n + n) - 3 - 2*n**2 + 3 + (n - 3*n + 4*n)*(5*n + 2*n - 5*n) + n**2 + 0*n**2 - 2*n**2. -8*n**2 Expand (-w**2 - w**2 + w**2)*(0*w + 0*w + 3*w) + 13*w**2 - 2*w**3 - 13*w**2. -5*w**3 Expand (-2*d**3 + 5*d**3 - 2*d**3)*(3*d - 3*d + d) + 7*d**4 - 13*d**4 + 32*d**4. 27*d**4 Expand 31 - 31 - 8*q**2 + q**2 - 4*q**2 - 2*q**2 + (-1 + 1 - 2*q)*(2*q + 3*q - 3*q). -17*q**2 Expand (9*s**3 + 10*s**3 - 6*s**3)*(0*s**2 - 4*s**2 + 5*s**2) + 0*s**5 + 4*s**5 - s**5 + 2*s**5 + 2*s**5 - 2*s**5. 18*s**5 Expand (-2*w - w + 2*w)*(-2*w + 3*w + 0*w + (0 + 0 - 1)*(2 - 2*w - 2) - 2*w + w + 3*w + (1 - 2*w - 1)*(-3 + 2 + 0) + 0*w - 2*w + 4*w). -9*w**2 Expand (3*a**3 + 3 - 3)*(0*a - a + 3*a) - 2*a**3 + a**4 + 3*a**4 + a**3. 10*a**4 - a**3 Expand (4 + 5 - 5)*(2*m**4 + 5*m**2 - 5*m**2 + (-2*m + 3*m - 2*m)*(-3*m**3 - 2*m**2 + 2*m**2)). 20*m**4 Expand (3 + 4 + 5)*(-4*s + s**3 + 4*s). 12*s**3 Expand (21*x + 29*x - 18*x)*(-2 + 2 - 4*x + (-2*x + 0*x + x)*(0 - 6 + 4))*(3 + 0 - 1). -128*x**2 Expand (3*x**2 - 4*x**2 + 3*x**2)*(4*x + x - 3*x)*(-3 + 4 + 0). 4*x**3 Expand (-7*n + 4*n + 5*n + 10)*(-2 - 3 + 4). -2*n - 10 Expand (-4*z + 0*z + 3*z)*(5*z + 2*z**2 + 2*z - 5*z). -2*z**3 - 2*z**2 Expand (1 + 0 - 3)*(0 - 1 + 2*i**3 + 2) + i - i - 11*i**3. -15*i**3 - 2 Expand 3*o**2 + 4 - 4 + (-2 - 1 + 5)*(-4*o**2 + 4*o**2 - 3*o**2) + 2*o**2 - 3*o**2 + 0*o**2. -4*o**2 Expand (3 - 2*k - 3)*(-3*k - 4*k - 2*k). 18*k**2 Expand (104*r**2 - 4*r - 101*r**2 - 1 - 1)*(-r + 2*r - 2*r). -3*r**3 + 4*r**2 + 2*r Expand -j**2 + 0*j**2 + 0*j**2 + (-2*j - 2*j**2 + 2*j)*(-4 + 1 + 2) + 11*j**2 + 0*j**2 - 6*j**2. 6*j**2 Expand (11 - 2 - 8)*(-3 - 2*f + 3). -2*f Expand (-3 + 4 + 1)*(1 + 2 - 1)*(2*n**3 - 3*n**3 + 2*n**3). 4*n**3 Expand (-1 + 1 + 2 + (6 - 2 - 3)*(0 + 1 - 3) - 1 + 1 + 2)*(-196*j - 196*j - 20*j**4 + 395*j). -40*j**4 + 6*j Expand (2*z**3 - 3*z + 3*z)*(1 - 3 - 3)*(-5*z + 0*z + 2*z). 30*z**4 Expand (x - 2*x + 3*x)*(0*x - x + 0*x + 2 - x - 2 + (-2*x - x + x)*(-3 + 3 + 1) + 0*x + 3*x - 6*x)*(-1 + 0 + 5). -56*x**2 Expand (-3 + 54*h**2 - 54*h**2 - 6*h**3)*(2*h + 0*h - 4*h). 12*h**4 + 6*h Expand ((0 + 0 - t)*(0*t - t + 2*t) + 0*t**2 + 0*t**2 + 3*t**2)*(-5*t - 3*t + 3*t). -10*t**3 Expand (7*s + 3*s - 4*s)*(-2 + 2 + s)*(0 - 2 + 0) - 3*s**2 + 3*s**2 + 3*s**2. -9*s**2 Expand -2*s**2 + 0*s**2 + 3*s**2 - 1 + (0*s**2 + s**2 + 2*s**2)*(0 + 0 + 2). 7*s**2 - 1 Expand (3*h**2 + 0*h**2 - 5*h**2)*(4 - 13 + 12*h**2 + 7). -24*h**4 + 4*h**2 Expand (14*z**3 - 16*z**3 - 13*z**3)*(0 - 2 + 0). 30*z**3 Expand (2*d - d + 0*d)*(-4*d**3 - 2*d**3 + 7*d**3)*(32 - 32 - 5*d). -5*d**5 Expand 0*a + 0*a + a**2 + (3*a + 2*a - 7*a + (-3 + 3 + 1)*(2*a + 3*a - 7*a))*(-3*a + 5*a - 3*a). 5*a**2 Expand (8*i - 2*i + 0*i)*(0*i - i - i). -12*i**2 Expand (6 - 3 - 1)*(f**2 - f**2 + f**3) - 3*f**3 - 3*f**3 - 3*f**3. -7*f**3 Expand (2 - 4 + 4)*(-2*i - 3*i + 0*i)*(8*i - 1 + 1). -80*i**2 Expand (5 + 42*q - 82*q + 44*q)*(4*q**3 - 2*q**3 - 3*q**3). -4*q**4 - 5*q**3 Expand (4 - 4 + 1)*(6 + 0 + 2*g**3 - 10). 2*g**3 - 4 Expand (2*w - w - 2*w)*(-3*w**4 - w**4 + w**4) + 2*w**5 + 2*w**5 - 2*w**5 + (-2 + 2 + w**4)*(2*w - 1 + 1) - 2*w**5 - 4*w**4 + 4*w**4. 5*w**5 Expand (-3*q**2 + q + 3*q - 3*q)*(-3*q - 2*q + 4*q). 3*q**3 - q**2 Expand (-1 - 2 + 4)*(5*m - 3*m - m) + 2*m - 4*m + m + (-2 - 1 + 1)*(10*m - 5*m + 5*m). -20*m Expand -2*a**2 + 2*a**2 - a**3 + (3*a**2 + a**2 + a**2)*(4*a + a - 4*a). 4*a**3 Expand (0 + 2*w + 0)*(-w + w + 2*w) - 2*w**2 + 3*w**2 + 3*w**2. 8*w**2 Expand (o + o**2 - o)*(14 - 14 + 10*o) + (2*o + 0 + 0)*(-3*o**2 + 2*o**2 + 0*o**2). 8*o**3 Expand (-2 - 2 + 2)*(-4 + 0 + 3)*(-5*t**3 + 0*t**3 + 3*t**3). -4*t**3 Expand (-4*j + 5*j + 1 + 0)*(1 + 3 - 3). j + 1 Expand (15*x - 67 + 67 + 3*x - 7*x + 2*x + (-5*x + 3*x + 3*x)*(2 - 2 - 2))*(-4*x**4 + 3*x**4 + 0*x**4). -11*x**5 Expand (-3*u**4 + 0*u**4 + 4*u**4)*(0*u + u + 0*u)*(2 - 1 + 1) - 4*u**5 + 2*u**5 - u**5. -u**5 Expand (f**2 - 2 + 2)*(2 + 4 - f - 3). -f**3 + 3*f**2 Expand 0*j**4 + 0*j**4 + 2*j**4 + (3*j - 3*j - j)*(-22*j**3 + 76*j**2 - 76*j**2). 24*j**4 Expand (f + 0*f - 7*f)*(-4*f**3 - f**3 + 2*f**3). 18*f**4 Expand (-m + 2 - 2)*(0*m**2 - 2*m**2 + 0*m**2) + (-4 + 4 - 2*m)*(-2*m - 2*m**2 + 2*m) - 3 + 3 + 5*m**3. 11*m**3 Expand (-11 - 9 - 1)*(0 + 2*m + 0). -42*m Expand (-3*z**2 + 0 - 2*z**3 + z**2 + 1)*(-21 - 10 + 29). 4*z**3 + 4*z**2 - 2 Expand (-3 - 2 + 3)*(8*t + 2 - 7*t + 1). -2*t - 6 Expand 0 - g + 0 + (-4 + 3 + 3)*(-2*g + 0*g + g) + g + g - 3*g. -4*g Expand 4*n**2 + 0*n**2 - 7*n**2 + (n + 0*n + 2*n)*(-2 + 2 + 3*n). 6*n**2 Expand -2*i**5 + 18 + 2*i**5 + 2*i**5 + (i**2 - i**2 - i**2)*(-2*i**3 - 1 + 1). 4*i**5 + 18 Expand ((0*r + r + r)*(1 + 2*r - 1) - 2*r**2 + 4*r**2 - 7*r**2)*(-5*r - 9*r + 6*r). 8*r**3 Expand 13*w**3 - 8*w**3 - 5*w**2 - w**3 + w + w - 2*w**3 - w + (0*w**3 - w**3 - w**3)*(-2 - 3 + 3). 6*w**3 - 5*w**2 + w Expand (-2 + 2 + 2*c)*(c - c - 2*c) - 7*c**2 - c**2 - 21*c**2. -33*c**2 Expand -a**5 + 0*a**2 + 4*a**2 + 0*a**5 + (-a - 2*a**3 + a)*(-2*a**2 + 2*a**2 + 2*a**2) - 3*a**3 + a**5 + 3*a**3. -4*a**5 + 4*a**2 Expand (-d + 0*d + 4*d)*(d**2 + 0*d**2 + d**2) + (-3*d + 3*d + 4*d)*(2*d + 2*d**2 - 2*d). 14*d**3 Expand (3*k + 0 - 5*k + 2)*(4 - 3 + 6). -14*k + 14 Expand (y + 3*y + 3 - 2*y)*(-3 + 3 - 3). -6*y - 9 Expand (-3 + 0 + 2)*(5*j**3 - 4*j**3 - 3*j**3) + 23 + 0*j**3 - 18 + 7*j**3. 9*j**3 + 5 Expand (2*d**2 - 4*d + 4*d)*(2 + 0 - 1)*(11 - 1 + 12). 44*d**2 Expand (1 - 2*h**2 - 1)*(-10 - 1 + 6)*(-4*h**3 + 3*h**3 - h**3). -20*h**5 Expand (-2*n + 7*n + n)*(-2 - 2 + 3) + 1 - 1 - n. -7*n Expand -175*t + 175*t - t**4 + (2*t**3 - 2*t**3 + 2*t**3)*(5*t - 2*t - 2*t). t**4 Expand (8*p**2 + 0*p**2 - 4*p
{ "pile_set_name": "DM Mathematics" }
3/2 Calculate 1/2*28*6/(-12). -7 Calculate 1*48/60*(-10)/(-4). 2 What is the value of (0/(-3))/(3/(3/2))? 0 What is the value of (((-9)/2)/(-3))/((-486)/72)? -2/9 Evaluate (-56)/(-35)*10/4. 4 What is the value of (8/51)/((-168)/(-126))? 2/17 Calculate 2/2*-6*(-4)/(-8). -3 Evaluate 5/(-2)*1680/700. -6 Evaluate (-6)/2*(-34)/(-68). -3/2 What is the value of (2/66*-2)/((-4)/18)? 3/11 Evaluate ((-10)/125)/(3/45). -6/5 What is the value of 21/28*(-12)/(-3)? 3 5/(-70)*-8*2/8 1/7 Calculate (27/(-81))/((-1)/(-3)). -1 What is -2*((-48)/(-6))/(-48)? 1/3 Evaluate 2/(-4)*(-8)/(-4). -1 What is the value of 144/(-64)*(-24)/(-9)? -6 0/((8/14)/(98/343)) 0 What is the value of (((-6)/12)/((-1)/(-12)))/(-4)? 3/2 What is (1/(-21))/((-62)/217)? 1/6 Evaluate (2*(-15)/(-25))/(-2). -3/5 What is the value of ((-30)/27)/(6/(360/(-50)))? 4/3 What is the value of (-5)/4*304/(-190)? 2 Calculate (2/(-2))/((-9)/(-9)). -1 What is the value of 1/(-3)*(-69)/46? 1/2 Calculate ((-2)/((-24)/9))/((-90)/80). -2/3 Calculate ((-81)/72)/9*-2. 1/4 What is the value of ((-5)/((-50)/12))/((-72)/240)? -4 (2/10)/((-6)/(-18)) 3/5 Evaluate 2*(2/6)/1. 2/3 Evaluate 1/3*(-1)/1*-3. 1 What is the value of (-1*0/5)/(-4)? 0 Evaluate (-10)/(-5)*15/(-6). -5 What is 0/((-9)/(-3))*(-20)/(-20)? 0 Calculate (0/((-16)/((-56)/(-7))))/(-2). 0 Calculate 6*6/108*(-3)/(-7). 1/7 Calculate -4*(-5)/40*6. 3 Calculate (64/16)/((-4)/(-3)). 3 What is (-4)/(-7)*42/84? 2/7 -2*9*(-2)/(-12) -3 9/9*1/((-9)/(-3)) 1/3 What is the value of ((11/(-110))/(6/(-15)))/1? 1/4 Calculate (1/16)/((-1)/((-18)/(-3))). -3/8 3/((6/(-15))/(4/(-6))) 5 Calculate ((-1)/(-9)*3)/(8/(-96)). -4 What is the value of ((-4)/4)/((-224)/96)? 3/7 Evaluate (((-56)/7)/(-4))/(-18)*2. -2/9 ((-945)/(-18))/(-15)*36/(-21) 6 Evaluate 2/1*(-3)/((-24)/2). 1/2 Calculate (0/13)/(2/2). 0 What is the value of 1/((7/14)/1)? 2 2*7/(-9)*(-2)/7 4/9 (70/(-350))/(1/(-20)) 4 What is the value of (42/63)/(3/(-27)*1)? -6 What is (-8*11/(-924))/((-6)/14)? -2/9 What is the value of 6/10*((-15)/(-9))/5? 1/5 Calculate 15/6*(-12)/75. -2/5 What is (-1)/(4*8/(-32))? 1 What is the value of ((-6)/(-10))/((-516)/(-215))? 1/4 10/25*25*(-2)/4 -5 What is the value of (-3)/(-2)*-4*10/60? -1 Calculate (-8)/(-40)*(-4)/((-4)/5). 1 What is (4/(-6))/(13/(117/24))? -1/4 What is the value of -1*((-32)/20)/8? 1/5 What is the value of (4/(20/1))/(92/40)? 2/23 (124/(-248))/((-1)/(-4)) -2 What is (-20)/(-30)*2/4? 1/3 ((-3)/10)/((-6)/(-5)) -1/4 ((-2)/15)/((-61)/61) 2/15 Evaluate (126/210)/(-2*(-1)/(-5)). -3/2 Calculate (-1)/((-2)/(-1))*(-16)/(-10). -4/5 (2/((-13)/(-13)))/((-20)/(-6)) 3/5 What is (-30)/(-490)*(-98)/(-63)? 2/21 Calculate 2*(-2)/((-96)/30). 5/4 Calculate (13/(-52))/(((-10)/24)/(-5)). -3 What is ((-24)/8)/(-6)*6? 3 Calculate (4/(-8))/((-21)/336). 8 What is (-171)/(-38)*(-2)/(-6)? 3/2 Calculate 5/6*4/(-10)*6. -2 Evaluate 24/(-14)*2/(-6). 4/7 (-8)/18*(-588)/784 1/3 What is the value of (-1)/(-4)*36/72? 1/8 ((-12)/(-12))/((-2)/10) -5 What is (1*(-1)/3)/((-22)/(-66))? -1 Calculate 11/(-11)*(-6)/(-2). -3 What is the value of ((-8)/(-8))/((-6)/(-12))? 2 What is ((81/6)/(-9))/(45/(-12))? 2/5 Calculate 12/(-9)*(8/(-8))/(-6). -2/9 3/(-9)*(-8)/(-160)*15 -1/4 Calculate ((459/340)/27)/((-2)/(-8)). 1/5 Evaluate ((4/1)/4)/1. 1 Evaluate 13*(-6)/(-936)*-9. -3/4 Evaluate ((-5)/((-10)/4))/(-6). -1/3 3*1*(-6)/30 -3/5 What is 3/(-75)*3*-5? 3/5 Calculate ((-18)/(-27))/(8/(-6)). -1/2 What is the value of (13/(39/12))/(-1)? -4 Calculate 1/1*6/(-6)*2. -2 ((-2)/(-16))/((-1)/(30/(-10))) 3/8 What is the value of ((-6)/(-120))/(9/(-24))? -2/15 Evaluate (15/(-18))/(110/198). -3/2 What is (660/(-550))/(6/(-4))? 4/5 Calculate 0*(27/(-6))/(-9). 0 Calculate ((-78)/65)/((-3)/10). 4 ((-3)/(18/8))/((-16)/(-132)) -11 What is the value of (-4)/((-55)/(-33)*(-4)/(-10))? -6 What is 12/(-20)*(-75)/315? 1/7 Calculate (-1)/(-4)*180/(-315). -1/7 Calculate (1/15)/((-1)/(-2)). 2/15 Evaluate ((-6)/15)/(7/((-105)/18)). 1/3 Calculate 8/2*(14/(-16))/7. -1/2 Evaluate (-2)/15*-6*35/(-140). -1/5 Evaluate (7/567*6)/(2/6). 2/9 What is the value of (4/2)/(4*(-1)/2)? -1 (13/((-13)/(-2)))/(1/(-2)) -4 What is -35*(-10)/50*8/14? 4 Calculate 56/(-48)*16/28*3. -2 What is the value of ((-4)/(-30))/((-8)/10)? -1/6 Calculate (474/395)/((-2)/10). -6 What is the value of -1*-3*(-4)/12? -1 What is (9/(27/(-6)))/(-4)? 1/2 Evaluate ((-20)/(-100))/(2/2). 1/5 What is 9/9*-1*-1? 1 What is the value of (12*(-5)/(-50))/((-12)/(-40))? 4 Evaluate (6/(-12))/((6/(-3))/(-8)). -2 Evaluate (-32)/36*(-1)/4. 2/9 Evaluate 4/(1/((44/24)/11)). 2/3 What is (-99)/(-66)*4/(-6)? -1 What is the value of ((-110)/(-44))/(6/(-12))? -5 What is the value of (4*(-3)/(-48))/(2/16)? 2 What is the value of (-90)/(-15)*8/(-12)? -4 What is ((-6)/(144/4))/((-1)/(-4))? -2/3 Calculate (1/(1/(-1)))/(2/2). -1 What is (-3)/((-36)/4)*24/1? 8 What is ((-216)/378)/(((-30)/63)/1)? 6/5 Evaluate (-2*(-3)/(-6))/((-45)/18). 2/5 Evaluate (-72)/48*16/42. -4/7 Evaluate (-48*1)/(-4)*(-1)/3. -4 ((-1)/75)/((-3)/(-18)) -2/25 Calculate (1/(-1))/((-78)/312). 4 What is -12*(-8)/(168/7)? 4 What is (0/1)/((-357)/51)? 0 What is (-6)/(3*-4*(-4)/24)? -3 Evaluate ((-63)/(-6))/((-168)/(-96)). 6 (63/(-42))/((-21)/140) 10 Calculate ((-5)/10)/(8/(-32)). 2 Calculate 2/((2/(-12))/(1/3)). -4 What is the value of ((-30)/(-20))/(-1*6/(-16))? 4 What is the value of (4/6)/((80/36)/10)? 3 What is ((-15)/(-20)*-1)/(66/(-16))? 2/11 Evaluate (((-12)/(-5))/(-6))/((-9)/(-15)). -2/3 What is ((-20)/125)/(-1*(-2)/(-1))? 2/25 (((-15)/(-2))/(-3))/((-3)/(-6)) -5 Evaluate ((-1870)/2057)/(2/(-11)). 5 What is ((-27)/90)/(-6*(-3)/(-24))? 2/5 ((-24)/6)/(-12)*(-6)/(-14) 1/7 What is the value of 1*5*7/(-28)? -5/4 Evaluate (32/48)/((10/3)/(-2)). -2/5 What is the value of (-4)/84*(-2)/(2/9)? 3/7 What is (1/3)/(34/306)? 3 What is ((-8)/4)/(8/16)? -4 Evaluate (2/5)/((-144)/360). -1 Calculate (-32)/(-1520)*(-5)/1. -2/19 Evaluate (21/(-7))/((-45)/(-15)). -1 What is -2*2*5/(-20)*1? 1 What is (((-616)/(-294))/(-22))/((-4)/18)? 3/7 What is the value of ((-72)/(-660)*-5)/(6/(-44))? 4 ((-250)/750)/(((-22)/(-4))/(-1)) 2/33 Calculate 5/(-2)*3/(225/12). -2/5 Calculate ((-2)/5)/(-5*5/(-125)). -2 Calculate (6/(-225))/(4/18)*5. -3/5 (-30)/(-9)*(-3)/(-45) 2/9 Evaluate 1*6*((-80)/(-12))/10. 4 21/(-105)*-5*5 5 -6*(-10)/(-1260)*-3 1/7 (24/(-28))/((80/35)/4) -3/2 What is ((-4)/3)/(14/21)? -2 Calculate ((-15)/65)/((-2)/(12/(-9))). -2/13 Evaluate ((-2)/(-12))/(((-15)/(-18))/5). 1 Evaluate (-2)/3*((-26)/4)/(-13). -1/3 What is the value of ((-2)/1)/(90/(-30))? 2/3 Evaluate ((-2)/(-13))/(3/78). 4 -6*(72/(-16))/(-9) -3 1*8/(-24)*0/(-2) 0 What is (4/16)/(9/216)? 6 What is 4*(-1)/(-12)*-2*-1? 2/3 Evaluate 1*1/1*(-8)/(-24). 1/3 What is ((264/320)/(-11))/(12/(-16))? 1/10 Calculate 7*-3*13/(1092/8). -2 What is ((-3)/((-81)/15))/((-60)/(-36))? 1/3 What is (18/18)/(3/(-15))? -5 What is (20/24)/(6/(-9))? -5/4 Evaluate (-18)/24*4/6*1. -1/2 Calculate (-9)/9*1*-8. 8 (-22)/77*-28*(-3)/(-8) 3 Evaluate (-4)/(-7)*(-12)/16. -3/7 Evaluate ((-26)/(-572))/((-2)/8). -2/11 What is the value of (-19)/19*(-3)/(-1)? -3 What is the value of 42/7*1*(-1)/3? -2 Evaluate (2/5*(-15)/(-24))/(-1). -1/4 (14/6)/(-7)*(-3)/3 1/3 3/2*(-60)/18 -5 (623/178)/((-1)/(-2)) 7 ((-6)/6)/(3*20/6) -1/10 (-1)/(((-4)/((-16)/6))/(-3)) 2 What is the value of (9/3)/(5/((-60)/18))? -2 What is 55/22*(-8)/5? -4 ((-22)/(-77))/((-8)/(-7)) 1/4 ((-8)/18)/((-20)/(-90)) -2 What is the value of 1/(-2)*1/(14/12)? -3/7 ((-6)/(-1))/6*0/(-5) 0 ((-54)/(-8))/(-1)*44/33 -9 What is (8/(-20))/((-3)/(60/(-92)))? -2/23 What is (-2)/(-10)*60/(-72)*1? -1/6 Evaluate (-25)/6*(-141)/470. 5/4 What is (4/(-56)*-8)/((-12)/(-42))? 2 Evaluate (-9)/((-243)/72)*-3. -8 Calculate 12/(-10)*(-20)/(-8). -3 8/240*4*1*5 2/3 What is the value of (-5)/(-3)*3/(-30)*-2? 1/3 What is the value of (8/3)/(204/612)? 8 ((-3)/15)/((-1)/15) 3 What is the value of (-1)/(-2)*6*28/(-28)? -3 ((-7)/(-21))/((-35)/15) -1/7 What is the value of 18/(-12)*8/12? -1 Evaluate (5/14)/((-485)/(-388)). 2/7 What is (-3*2/10)/((-12)/(-12))? -3/5 What is (-1)/((117/6)/13)? -2/3 3*((-1)/(-30))/(140/350) 1/4 What is the value of (-4)/6*(-2055)/274? 5 What is the value of (1/(9/(-72)))/(4/2)? -4 Evaluate ((-30)/(-4))/((-15)/(-10)). 5 Calculate (0/((-12)/6))/1. 0 Calculate ((-6)/6*-1)/((-36)/(-
{ "pile_set_name": "DM Mathematics" }
c + h + 2051. Is c composite? True Let j(p) = -1940*p + 7. Is j(-9) prime? True Suppose 9442 = 13*w - 39373. Is w prime? False Let h(k) = 3779*k + 30. Is h(1) composite? True Let r = -6689 - -71284. Is r composite? True Let r = -12964 + 20522. Is r composite? True Is (1 + 0 - 4188)*(-5 - -4) prime? False Let c be 4 + -6 + (4 - -3). Suppose 5*f - 705 = c*p, 5*p = 7 + 13. Is f composite? True Suppose -16 + 1 = 3*h. Let b(t) = -t**3 - 6*t**2 - 5*t + 3. Let o be b(h). Suppose -o*f - 413 = -4*f. Is f a composite number? True Let k(c) = 57*c**2 + c - 1. Let f be -5 + -2 - (2 - 3). Let r be (-1)/(-2)*(-36)/f. Is k(r) a composite number? True Suppose -2*f + 16 = 6, 3*f + 99132 = 3*r. Is r prime? True Let a(b) = -341*b + 28. Let n be a(-4). Suppose -w + n = 4*s - 1083, -2 = s. Is w a prime number? False Let k = 286015 - 175832. Is k prime? True Let a(b) = 1135*b - 1. Let v be a(5). Is 65/(-20) + 3 - v/(-8) a prime number? True Suppose 30*h + 10698 = 36*h. Is h composite? False Let l be ((-8)/(96/42))/((-2)/4). Suppose -l*o + 387 = -1090. Is o prime? True Suppose 4*o = -18*y + 15*y + 23843, 0 = 4*y - o - 31797. Is y composite? False Let x(d) = 350*d + 21. Let r(g) = -175*g - 10. Let k(o) = -7*r(o) - 3*x(o). Let q be 4/14 - (-26)/7. Is k(q) composite? True Let s = -21 + 25. Suppose 4*v = -s*m + 320, v + 7 = 2. Is m/(-34)*(-356)/10 prime? True Let z(i) be the third derivative of 73*i**7/5040 - 11*i**6/720 + 3*i**5/20 + 7*i**2. Let k(t) be the third derivative of z(t). Is k(6) a prime number? False Let d(c) = -c**3 - c**2 + 419. Let q be 0/((4 + 0)/(-4)). Is d(q) a prime number? True Suppose 0 = 3*v - 15, 4*f + 5*v - 143 - 50 = 0. Suppose -2 = -s, -5*g - 3 - f = -5*s. Is (-2)/(-7) + (-1041)/g a prime number? True Let z(i) = i**2 + 5*i - 4. Let n be z(-5). Let q = 11 + n. Is (-8)/28 - (-625)/q prime? True Let g(a) = a + 2. Let i be g(-6). Is 9/(-3) - (-1046 - i) a prime number? True Let u(s) = 3*s**2 - 3*s - 2. Let f be u(2). Suppose 2*i - 1793 = -4*y + 1075, f*y - i - 2868 = 0. Is y a composite number? True Is ((-40244)/(-10))/((-244)/(-610)) a composite number? False Suppose -3*t = -u + 400, -6*t + 4*u = -2*t + 520. Let q = -434 + 168. Let y = t - q. Is y a composite number? False Is (-2 - -2787)/(3 + -2) a prime number? False Let i(w) = 6*w - 7. Let l be i(2). Suppose 699 = 4*n + l*d, -4*n = -2*d - 787 + 53. Is n composite? False Let v(h) = -3*h + 5. Let c be v(1). Suppose -s = 2*b - 609, -c*b + s = b - 926. Is b a composite number? False Let z(d) = 0*d + 1 - 3*d + 148*d**2 + d - 136*d**2. Suppose -6 - 6 = 4*n. Is z(n) prime? False Suppose -3*g - 3*b + 156 = -6*g, g + 5*b = -46. Is (3 - 2 - g) + -1 prime? False Let j = 115 + -67. Is (j/(-42))/(-4) + (-5302)/(-14) a prime number? True Let u be (159 - 0) + 1 + 2. Suppose 4 = 2*r + 12, -u = -y + 2*r. Let o = y - 101. Is o a prime number? True Let h = -3 + 5. Let w = 4 - h. Is 1*(164 - -2)/w a prime number? True Let v = 190718 - 130579. Is v composite? False Let a(r) = -r**3 + 5*r**2 - 3*r + 2. Let i be a(4). Let t(z) = -z**3 + 6*z**2 + 14*z - 1. Is t(i) prime? True Let a be (-4)/(-20) + (-9289)/(-5). Let i = -1224 + a. Suppose 2*k + i = 4*k. Is k a prime number? True Let c = 368 + -289. Suppose -4*s + 2344 = 616. Let p = s - c. Is p composite? False Let p(v) = 4*v - 3. Let i be p(2). Suppose i*b - 2*d - 3755 = 0, b + 4*d - 773 = -0*b. Suppose 11*n - b = 8*n. Is n a prime number? True Is 4/16 + 120510/40 a composite number? True Let v(f) = f + 4. Let p be v(-2). Is (5280/(-9) + p)/((-4)/6) composite? False Let p be 13208/16 - 1/(-2). Let v = 1317 - p. Is v a prime number? True Suppose 5*z - 607 = 223. Suppose z = 5*h - 639. Is h a prime number? False Suppose -4*z + z = -315. Let n(o) = -38*o - 8. Let p be n(-6). Let x = p - z. Is x a prime number? False Suppose c - 5 = 0, 0 = 5*j - 3*c - 260 - 4710. Let n = j + 658. Is n a prime number? False Let t be (-3)/((6/346)/(-3)). Suppose -1416 = -5*l - 5*v + t, -1169 = -3*l + 5*v. Suppose -40 = 4*q - l. Is q a composite number? True Is ((-4062)/(-8))/(54/72) a prime number? True Let h = 5629 - 3258. Is h prime? True Let b(t) = t**3 - 17*t**2 + 3*t - 50. Is b(21) prime? True Suppose -4*x = 4, 4*f + 5*x + 6 = -7. Is f*2/(-8)*502 a prime number? True Suppose 2*d = 4*d + 448. Let v = d + 437. Is ((-30)/(-45))/(2/v) a prime number? True Suppose 43 = -5*j + v + 363, -4*j = -v - 257. Let u = j - -97. Suppose 2*k - 582 - u = 0. Is k composite? True Let z(i) be the second derivative of i**7/840 - i**6/45 + 7*i**5/120 - 5*i**4/24 + i**3 + 8*i. Let p(n) be the second derivative of z(n). Is p(8) prime? False Let k(w) = -5*w + 2*w - 17 + 6*w. Let b be k(7). Suppose 1039 + 474 = 4*s + 3*x, b*s = 3*x + 1519. Is s a composite number? False Let g(z) = -3*z**2 + 4*z - 4*z**3 - 5*z - 7 - 4*z**3. Is g(-3) a composite number? True Let x be -1 + 1 + (-9)/(-3). Suppose -x*o - 4*a = 32, -4*a = -2*o + 7 + 5. Is o/8 - (-223)/2 prime? False Suppose 119675 = 13*x - 36468. Is x a composite number? False Let r be 36/(-27)*(4 + -1). Let y(j) = -2*j - 2. Let c be y(r). Is 0 + 266 + c/(-2) composite? False Suppose -k - 3*d = -5 - 4, -5*k + 23 = 4*d. Is 1063 + -3 - (k - -2) a composite number? True Let s = 86 - 41. Is 51502/18 + (-10)/s prime? True Suppose z - 126 = 3*z. Is (-69517)/z - 8/18 a prime number? True Suppose 2*d - 15335 = 3*z + 2*z, -2*d + 15329 = z. Suppose -4*o = -3*g - 6134, 5*o + g = 6*g + d. Is o composite? True Let z(t) = -t - 6. Let q be z(-3). Let o be 2*(-3)/2*q. Suppose -i + 5*g = -0*i - o, -2*i + 2*g + 34 = 0. Is i a composite number? False Is (368004/36)/(-7)*-3 composite? True Let h(p) = -3*p - 27. Let y be h(-9). Let t(a) = a**2 + a + 5483. Is t(y) a prime number? True Let q be -23 + -3 - -2 - -1. Is 525673/437 - 2/q a composite number? True Suppose 0 = 3*g - 48*p + 45*p - 70509, 5*g - 117495 = -5*p. Is g prime? False Let d = 29 + -32. Let l = 8 - d. Is l a composite number? False Suppose -74 = -5*g + 61. Let v = g + -2. Let b = 112 - v. Is b a composite number? True Suppose 0 = 4*m - 3*x - 120, 0 = 5*m + x - 66 - 84. Let g = -832 - -867. Suppose f - m = g. Is f prime? False Let k(o) = -8*o - 13. Let j(r) = 3*r + 4. Let f(t) = 11*j(t) + 4*k(t). Let z be f(-6). Let n(q) = q**3 + 14*q**2 - 13*q - 21. Is n(z) a prime number? False Is 31 + 3915 + 0 + 1 + -4 composite? False Let x be (-59)/3*(-3 + -86 + -1). Let m = -1 - -3. Suppose 0 = -m*y - 10, 6*r - x = r - y. Is r a prime number? False Suppose 0 = -5*n + 2*u + 183089, 5*n = -5*u + 142929 + 40146. Is n composite? True Suppose 2*l = 3*z, -2*l = -11 + 5. Let j(m) = m + 1. Let h be j(z). Suppose 0 = h*f - 0*f - 633. Is f a composite number? False Let s = 5 - 1. Suppose 5*v - 27441 = -s*v. Is v a prime number? True Let s = -241 + 489. Suppose -2*g - 96 - 19 = -k, 4*g = -4*k - s. Is g/(-1) - (-2 - -2) a composite number? False Let g(o) be the second derivative of -521*o**3/6 - 7*o**2/2 + 19*o. Is g(-4) composite? True Suppose 49*g - 39*g = 281690. Is g composite? True Suppose -5*i + 47 + 11 = -2*c, -3*i + 3*c = -33. Suppose -16*u - 12 = -i*u. Is -4 + (2 + -1469)/u composite? True Let w(c) = -6*c**3 - 9*c**2 - 3*c + 4. Let i be w(-7). Suppose -n + i = n. Let v = n - 264. Is v a composite number? False Suppose 0 = -2*c - c + 4*c. Suppose c = -3*m + 10*m - 7469. Is m composite? True Suppose -4*d = -5*x + 11 - 31, -3*d + 12 = -3*x. Is 406 - (-3)/(1 + d) a prime number? True Let m(b) = 5*b**3 - 26*b**2 - 4*b + 26. Let x(n) = -11*n**3 + 53*n**2 + 7*n - 52. Let q(o) = -13*m(o) - 6*x(o). Is q(-19) prime? False Let d(r) = -r**2 - 11*r + 2. Let x be d(-11). Let v be 3*(x + 224/12). Suppose -3*g - 31 = -t, v = 2*t + g - 0*g. Is t composite? False Let n(t) = 282*t**2 - 1. Let z be n(1). Suppose -2*p + 89 = 2*f - z, 0 = -4*p + 3*f + 719. Is p + -9 + 5 + -1 prime? False Suppose 15*p = 20*p + 25, -2*s = -p - 2091. Is s a prime number? False Let x = 0 + 5. Let c(j) = -67*j. Let q(t) = 134*t - 1. Let n(i) = -13*c(i) - 6*q(i). Is n(x) composite? True Suppose 0 = 7*w - w + 48. Let y be 1471 + (-2)/(-4)*w. Let l = y + -548. Is l a composite number? False Let d(v) be the third derivative of v**6/120 - 2*v**5/5 - 5*v**4/12 - 31*v**3/6 - 18*v**2. Is d(26) prime? True Suppose -j = -7 - 67. Suppose s = 105 + j. Is s a prime number? True Let i(l) = 1
{ "pile_set_name": "DM Mathematics" }
replacement from {p: 1, n: 1, y: 2, w: 2, m: 4}. 1/180 What is prob of sequence bo when two letters picked without replacement from hoootoobtnnobtobz? 21/272 Three letters picked without replacement from ydyeceyyuec. What is prob of sequence cdu? 1/495 Three letters picked without replacement from kkkkwkkkkkkkwkkkkk. What is prob of sequence kww? 1/153 Two letters picked without replacement from {f: 3, m: 9}. Give prob of sequence mm. 6/11 Three letters picked without replacement from {r: 2, e: 2, k: 5}. What is prob of sequence eer? 1/126 Calculate prob of sequence gg when two letters picked without replacement from gccccugcguccg. 1/13 Three letters picked without replacement from {s: 5}. Give prob of sequence sss. 1 Two letters picked without replacement from zzzzpzpzz. What is prob of sequence zz? 7/12 What is prob of sequence cyi when three letters picked without replacement from cywcibxccxxxx? 1/429 Calculate prob of sequence gimo when four letters picked without replacement from mgigoioqqigqggqigqqg. 7/14535 What is prob of sequence bbw when three letters picked without replacement from wbbbwbbwwwbw? 3/22 What is prob of sequence qdl when three letters picked without replacement from {d: 3, c: 1, q: 1, l: 3, k: 2}? 1/80 Calculate prob of sequence lnp when three letters picked without replacement from {l: 1, t: 1, n: 3, h: 1, p: 1}. 1/70 Three letters picked without replacement from cqccqyqqdqcdq. What is prob of sequence ccd? 2/143 Two letters picked without replacement from cccccdjccjccb. Give prob of sequence jb. 1/78 Four letters picked without replacement from {d: 1, l: 3, j: 5}. Give prob of sequence ljjl. 5/126 Calculate prob of sequence if when two letters picked without replacement from {i: 1, f: 2}. 1/3 What is prob of sequence jdw when three letters picked without replacement from dddwwdjjjwww? 1/22 Three letters picked without replacement from uppupuuuuuuuuuuu. What is prob of sequence upu? 39/280 Two letters picked without replacement from {i: 8, k: 1, p: 1, c: 5, h: 2}. Give prob of sequence ii. 7/34 Calculate prob of sequence eue when three letters picked without replacement from {i: 9, l: 1, e: 4, u: 2, a: 1}. 1/170 Calculate prob of sequence yg when two letters picked without replacement from ggzzgyxguggzl. 1/26 Two letters picked without replacement from ibkxkbkiibkkw. Give prob of sequence xk. 5/156 Two letters picked without replacement from cjsop. Give prob of sequence sp. 1/20 What is prob of sequence xw when two letters picked without replacement from xwxwwwwwww? 8/45 Three letters picked without replacement from {y: 1, c: 2, l: 1}. Give prob of sequence cyc. 1/12 Two letters picked without replacement from mmxjxjxmttmgxtxmx. Give prob of sequence xx. 15/136 Calculate prob of sequence xxxx when four letters picked without replacement from {c: 5, x: 9}. 18/143 Two letters picked without replacement from jwwwjjwjwwwjww. Give prob of sequence jw. 45/182 Two letters picked without replacement from uuuuuddduuuuuudd. What is prob of sequence dd? 1/12 Three letters picked without replacement from xxxxxxxxxxxxn. Give prob of sequence xxx. 10/13 Calculate prob of sequence kcwk when four letters picked without replacement from wwwwwwkkkcwwwwccwc. 11/3060 Calculate prob of sequence bf when two letters picked without replacement from {b: 11, r: 1, m: 2, i: 1, f: 1}. 11/240 What is prob of sequence yyy when three letters picked without replacement from {w: 1, n: 2, q: 1, s: 4, y: 3}? 1/165 Three letters picked without replacement from owfwoffffo. What is prob of sequence ffw? 1/18 Calculate prob of sequence xlhv when four letters picked without replacement from {o: 4, l: 1, e: 3, h: 3, x: 3, v: 2}. 3/7280 Four letters picked without replacement from {q: 5, g: 4, j: 3}. Give prob of sequence qqgj. 2/99 Three letters picked without replacement from kdkdkdkdkkkskkkedkkk. Give prob of sequence ske. 13/6840 Four letters picked without replacement from {y: 1, z: 1, r: 10, p: 3, a: 2}. Give prob of sequence aprp. 1/476 Calculate prob of sequence zn when two letters picked without replacement from {i: 3, k: 6, n: 1, z: 6, g: 1}. 3/136 Four letters picked without replacement from {v: 3, l: 4}. What is prob of sequence vvll? 3/35 What is prob of sequence kkkg when four letters picked without replacement from {k: 6, g: 13}? 65/3876 Two letters picked without replacement from {g: 4, b: 4, i: 2, f: 1, c: 1, u: 2}. Give prob of sequence uf. 1/91 What is prob of sequence tk when two letters picked without replacement from ttffkffttkfk? 1/11 Calculate prob of sequence gbb when three letters picked without replacement from {b: 11, g: 9}. 11/76 What is prob of sequence bby when three letters picked without replacement from jyboojobrhorjjjoy? 1/1020 Three letters picked without replacement from soeeaeseaeaoeeae. What is prob of sequence aae? 1/35 What is prob of sequence aaa when three letters picked without replacement from fsagg? 0 Calculate prob of sequence zb when two letters picked without replacement from bzzbbbbzzzzbb. 7/26 Two letters picked without replacement from {v: 2, m: 2, q: 1, w: 1, z: 2}. Give prob of sequence mz. 1/14 Two letters picked without replacement from {v: 2, r: 3, w: 5}. What is prob of sequence rr? 1/15 Three letters picked without replacement from zuutqz. What is prob of sequence tqz? 1/60 Calculate prob of sequence nnye when four letters picked without replacement from nylllnynleeln. 2/715 Calculate prob of sequence lib when three letters picked without replacement from bliilibblull. 3/88 Two letters picked without replacement from hhhhhhhhhh. Give prob of sequence hh. 1 Four letters picked without replacement from pakjpee. What is prob of sequence eepj? 1/210 What is prob of sequence dg when two letters picked without replacement from ddgdudgdddddjd? 10/91 Three letters picked without replacement from qffqcqqmtt. Give prob of sequence tqc. 1/90 Three letters picked without replacement from uzffsuzffd. What is prob of sequence duz? 1/180 What is prob of sequence dh when two letters picked without replacement from {r: 1, e: 1, h: 3, d: 6, l: 8}? 1/19 Four letters picked without replacement from {v: 6, m: 4, s: 3, w: 2, t: 2}. Give prob of sequence mmts. 3/2380 What is prob of sequence hdxh when four letters picked without replacement from sxhssddhhshhdhsd? 1/364 Two letters picked without replacement from {m: 5, k: 14}. Give prob of sequence kk. 91/171 Calculate prob of sequence zb when two letters picked without replacement from tzabe. 1/20 Three letters picked without replacement from jsjjjjssjjs. What is prob of sequence sjj? 28/165 What is prob of sequence lp when two letters picked without replacement from {p: 2, l: 2, k: 2, y: 3}? 1/18 Four letters picked without replacement from yhhyyyhy. What is prob of sequence yhhh? 1/56 Four letters picked without replacement from {g: 2, o: 3, y: 1, q: 6, i: 6}. What is prob of sequence ogoq? 1/1020 Three letters picked without replacement from {y: 7, o: 6}. What is prob of sequence oyo? 35/286 Two letters picked without replacement from {a: 3, k: 3, b: 2, s: 1, d: 1}. Give prob of sequence aa. 1/15 What is prob of sequence nxx when three letters picked without replacement from xnxnnxnxxx? 1/6 Two letters picked without replacement from hhxxzxfxfzf. What is prob of sequence fx? 6/55 Four letters picked without replacement from {w: 2, b: 3}. Give prob of sequence wwbb. 1/10 Two letters picked without replacement from {y: 1, f: 2, e: 1, m: 1}. Give prob of sequence em. 1/20 Two letters picked without replacement from llhhhhlllyllhhllhk. Give prob of sequence hl. 7/34 Four letters picked without replacement from {y: 3, z: 7, l: 2}. What is prob of sequence zzlz? 7/198 Calculate prob of sequence it when two letters picked without replacement from {e: 1, w: 1, p: 1, i: 5, l: 3, t: 2}. 5/78 Three letters picked without replacement from {w: 17, m: 1}. What is prob of sequence www? 5/6 Four letters picked without replacement from {g: 1, r: 1, l: 1, y: 2}. What is prob of sequence gryl? 1/60 Two letters picked without replacement from {i: 2, h: 2, p: 1, a: 1, t: 6}. Give prob of sequence th. 1/11 Calculate prob of sequence ydz when three letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
alculate 13 - (-3 + -3 + 3 + 1 - 2). 17 What is the value of -10 + (2 - 0) - (-46 + 34)? 4 What is -7 - (-9 + 10) - -8? 0 Evaluate -1 - (-31 + -44 + 68). 6 What is the value of -156 + 171 - ((4 - -1) + -2)? 12 What is the value of -2 - (4 - 7 - 0)? 1 What is (63 - 52) + (1 - 3) - 4? 5 7 - (15 + (3 - -6)) -17 What is the value of -2 + 47 + -16 + -18? 11 What is -4 + (26 + -3 - (-7 + (6 - -4)))? 16 Calculate -1 + 0 - -5 - (75 - 65) - 11. -17 What is -39 + 83 + -58 - (-8 + 0)? -6 What is the value of (1 - 6) + -17 + (16 - -9)? 3 What is -630 + 582 - (0 + -25)? -23 What is the value of -9 + (-2 - -20) + -3 + (-32 - -5)? -21 Calculate -1 - 6 - (-164 - -146). 11 Calculate 2 + 5 + (9 - 8) + -21. -13 What is the value of (4 - 6) + (0 - -2) + 4 - -1? 5 -42 + (7 - (-20 + 2)) -17 Evaluate -25 - -20 - (-9 + 3 + 0). 1 Evaluate 21 + 6 + -17 + 5. 15 What is (9 - -3) + (3 - 0)? 15 What is the value of (14 - 0) + -41 + 35 + 9? 17 What is the value of -15 + (53 - 18) + -18? 2 What is the value of 2 + -2 + (-1 - 2) + 0? -3 -302 + 305 + 0 + 16 19 Evaluate -70 - (-68 + 5) - (-7 + 1). -1 What is -10 + 0 + (0 + -6 - -12 - 24)? -28 -3 + (2 - -4) - 3 - 4 - 1 -5 What is the value of (9 - 28) + 7 + 33 + 10 + 0? 31 1 + (-70 - -56 - (-4 - 0)) -9 0 + (6 - 2) + -57 + 47 - 26 -32 What is the value of (-228 - -210) + 1 + 0? -17 What is 10 + (-1 + 1 - (-8 - -9)) + -9? 0 (-24 + 21 - (0 - -3)) + 9 3 What is the value of -11 - (-18 + 4 + -1 + -3)? 7 Calculate -14 - (8 + 3 + -3 + 3). -25 What is the value of -1 + 1 + 9 + 3 + 4 + -8? 8 -164 - -149 - (-17 - -1) 1 What is (-20 - -9) + 17 - (-32 - -2)? 36 Calculate -1 - 4 - (55 - 51 - (27 + 1)). 19 Evaluate (12 - 9 - (1 + 2)) + 8 + -7. 1 Evaluate 48 + -60 - (1 - (2 - -25)). 14 Evaluate -8 + (25 + 3 + 11 + -18 - 5). 8 What is (3 - 9) + 1 + 2 - -36 - 4? 29 0 + (-1 - 1) - (-15 - (56 + -54)) 15 Calculate 25 + 0 + (20 - 17). 28 (-15 + 21 - 7) + -15 -16 Evaluate -41 - (-26 - (15 - 10)). -10 Calculate (3 - 0 - -2 - 16) + 11. 0 What is -10 - (-6 + 4 + -21)? 13 What is -9 + -6 + 21 + 1 + -6? 1 Evaluate -2 + 1 + -7 + (-5 - -2). -11 Evaluate -3 - (-17 + -2 - -30). -14 What is 3 + (-6 - 1 - -3) - (-6 + 11)? -6 What is (0 - -2 - 2) + -25 + 18? -7 What is -4 + (8 - (12 - 8 - 11))? 11 What is 1 - 10 - (12 + -7 + 6) - 1? -21 What is the value of (-3 - (-9 + 0)) + (0 - -1 - -23)? 30 Calculate -13 - (-21 - -15 - (2 + -4)). -9 Calculate -8 - ((-12 - (-1 + -11)) + 10). -18 -3 + 17 + (-4 - 33) -23 What is 48 + -31 + (-7 - -19)? 29 -256 + 258 + (8 - (1 - (-2 + 3))) 10 Calculate (76 - 20) + 4 - 36. 24 What is the value of (1 - (58 + -22)) + 4? -31 What is the value of 9 + 2 + -11 + -3 + 1? -2 What is -28 - (17 - 34 - 8)? -3 Calculate -4 + 21 + 34 + -70. -19 Evaluate -2 - (-4 + 0) - (-1 - (1 + 8)). 12 Evaluate 2 - 1 - (-69 + 73). -3 (2 + 2 - 6) + (-12 - -12) -2 Calculate -19 - -14 - (1 + 3 + -11). 2 (11 - -1) + (9 - -2) + -15 8 Evaluate 2 + (7 - 6) - 0. 3 (-33 - -17) + 11 - -17 12 8 - (-11 + 18 + -11) - 28 -16 Calculate (-7 - (-4 - -3)) + (3 - -7 - 1). 3 Calculate -7 - (-3 - 6) - 0. 2 Calculate -15 + 216 + -228 + 30 + 2. 5 What is the value of 21 + -7 + -19 + 2? -3 (-8 - (13 + -15)) + -14 -20 What is the value of 74 - 81 - (-6 + -2)? 1 What is (1 - 9) + (9 - (-18 + 1))? 18 Calculate -19 - (10 - 35) - (15 - -2). -11 What is the value of -7 - -1 - -1 - (253 - 256) - 5? -7 -36 + 30 - (2 - -7) - -3 -12 Calculate 7 - (24 - (-11 - -15)) - -14. 1 Evaluate -23 - ((1 - -4) + (92 - 107)). -13 Evaluate -3 - 0 - (-18 + 13 - (9 - 3)). 8 55 + -27 - 40 - (4 + 0) -16 What is 7 + (37 - (-5 + 15 - 6) - 12)? 28 Evaluate -1 + -1 + -6 - (-5 + -12). 9 What is -323 + 320 + (-4 - (-9 - 2))? 4 What is the value of 42 + (-1 - (14 + -1))? 28 Evaluate -10 + (9 - (-5 + 8)) + 4. 0 Evaluate -6 + (-2 + 18 - -6). 16 What is 6 + (7 - (-7 - -14)) + 2 + -3? 5 Evaluate -17 + (13 - 17) + 12. -9 Calculate 1 - (10 - (-8 + 14) - 0). -3 What is (2 - 10) + -1 + (-3 - -8)? -4 Evaluate 62 - (23 - -20) - (53 - 1). -33 What is the value of (15 - 1) + ((13 - 7) + 2 - 6)? 16 What is 10 + -7 + 11 + 0 + -3? 11 What is (-109 - -94) + 14 + 0? -1 What is the value of (-10 - (14 + -18)) + (-2 + 20 - 1)? 11 What is 7 - -16 - 1 - 12? 10 What is -1 - (-10 + 12) - -1? -2 What is (37 - -1 - 14) + (0 + 4 - -1)? 29 What is the value of (2 + -1 - -3) + -2 + -3 - 12? -13 What is -29 - -18 - (4 + -33)? 18 What is (-1 - (-25 - -7)) + -16 + (11 - -1)? 13 What is 2 + -3 + (1 - -4) - (-14 + 14)? 4 0 + 0 + -4 + -144 + 138 -10 -11 - (-13 + (-20 - -16)) 6 9 - (1 - (-27 + 13)) -6 Calculate -26 + (-4 - -1) + (178 - 167). -18 Evaluate (2 - (4 - (2 - -2))) + -3. -1 1 + -11 + 24 + -11 + -11 -8 -11 + (4 - 0) - -9 2 Calculate -13 + -14 + 27 - -9. 9 Calculate 1 + -19 + 2 - (-31 - (-1 + -24)). -10 Evaluate 29 - (14 + (-19 - -24)). 10 What is (-1 - 20 - -4) + 13? -4 What is the value of (-25 - -17) + (-4 - 1 - (2 + -16))? 1 Calculate -6 + -1 + -3 - -18. 8 -27 + (-1 - -24) - -23 19 -6 - 2 - -2 - (-8 + 10 + 0) -8 0 - (12 + -3) - (-34 + 35) -10 What is -1072 - -1073 - (-26 + (-2 - -4 - 0))? 25 What is 0 - (12 + -7 + -5 - -3)? -3 What is the value of -26 - -38 - (-3 - (-1 - -4) - 1)? 19 -36 + 25 + (0 - -11) 0 Evaluate 19 - (23 - -7 - 0). -11 Evaluate -45 - ((-9 - 29) + 21). -28 -3 + 19 + -2 + 8 22 -4 + 14 + (3 - 6) - (-29 + 16) 20 Calculate 3 + -13 + 23 + (1 + 3 - 2). 15 What is -7 - (-8 + 9 + 0)? -8 What is the value of -9 - (0 - (7 - 7)) - -18? 9 Evaluate -34 + 14 + 8 - -1. -11 Evaluate (-29 - (-10 - 14)) + 6 - (-32 + 1). 32 What is -721 + 730 - (-21 - -2)? 28 0 + 15 - (248 + -242) 9 Calculate (10 + 1 + -8 - 7) + -2. -6 -2 + (2 - -5) - (4 - 5) 6 What is the value of -33 + (44 - 0) + -24? -13 What is the value of -6 + (4 - -1 - -1) - (29 - 11)? -18 -21 + 10 + (18 - (-4 - -15)) -4 Calculate -3 - (-34 + 10 + 9 + -6 + -4). 22 Calculate 0 + -4 + -6 - (1 + (-7 - -5)). -9 Calculate (-3 - -3 - 4) + 66 + -22 + -17. 23 What is the value of (-4 + 20 + -9 - 5) + -10? -8 What is the value of 66 + -78 - (-25 - -4 - 4)? 13 32 + -15 - 8 - (12 + 2) -5 What is 27 + (-5 - (-25 + 41))? 6 Calculate (10 - 23) + 6 + -5. -12 Calculate 11 + (8 - (4 - -9)) + -24. -18 What is -20 - (-2 + (-1 - -2) + (15 - 20))? -14 -4 - (4 + -11) - -5 - (1 - 12) 19 Evaluate -7 - (11 - (-11 + 35)). 6 What is the value of (-68 - -52) + (4 - -9)? -3 Calculate (1 - 1) + -6 + (0 - 6) + 7. -5 Evaluate 0 + 2 - (-11 + -18 + 38). -7 What is -19 + (-14 - -41) + -14 + (-1 - -5)? -2 What is the value of (13 - (1 + 14)) + (1 - 0) + 2? 1 (11 - (-16 + 13)) + -26 -12 Evaluate (-1 - 5) + 1 + (-6 - -10) + -8. -9 -1 + 8 + 9 + -18 + 9 + 2 9 What is 26 + (37 - 35 - (-4 + 7 - 0))? 25 What is (17 - 3) + 22 + -30? 6 Evaluate -9 - (-2 - -1) - (9 + (16 - 22)). -11 Calculate -11 - -24 - (4 + 15). -6 2 + -2 + (2 - 10) + (-1 - -37) 28 Calculate (12 + -14 - 5) + 21 + -1. 13 What is the value of 36 - (35 + -25) - (2 - -2)? 22 What is (-26 - -29) + -25 + 32? 10 What is 13 + -10 + (-2 - -4) + -14 - 2? -11 What is the value of (-78 - -47) + 47 + 7? 23 What is the value of -5 + -7 + (-15 - -15)? -12 Calculate (1 + 0 + 0 - -8) + 829 + -827. 11 1800 - 1842 - (-24 - -1) -19 Evaluate -5 + -8 + 33 + -8. 12 Calculate -13 - -35 - 77 - -22. -33 Calculate -32 + 32 + -1 + 12. 11 11 + -12 + -1 + 1 + -1 -2 22 + -8 + -11 + 1 4 Evaluate 31 + -5 + -22 + 5. 9 What is -4 + -5 + 17 + -20 + 19? 7 What is the value of -9 + (-6 - (9 + -33)) - 19? -10 Evaluate 0 + -4 + 8 + 9 + -18 + 9. 4 What is 15 + (-6 + 4 + 4 - 8)? 9 Calculate -1 - (-12 + 15) - (5 + 1) - 4. -14 (6 - 7 - -11) + (10 - 13) 7 Calculate -17 + 10 + 1 + 12. 6 What is 12 + (-3 + 7 + 2 - (7 + 0))? 11 Calculate -3 + 19 + (-37 - -17) - (2 - 28). 22 What is 7 + (11 - 18) + (-5 - -6) + -4? -3 What is the value of 2 + -14 + (20 - 22)? -14 Calculate 1 + 6 + (1 - 1) + 2 + -8. 1 -11 - (2 + (-34 - -4)) 17 What is 2 + -6 + (-56 - -45)? -15 Evaluate -8 - (-4 - 13 - (-27 - -19)). 1 Calculate -4 + (4 - 0 - (29 - 16)). -13 Calculate (-24 - (-5 + -15)) + -1. -5 Evaluate 2 - ((1 - 6) + 22 + -18 + 9). -6 Evaluate -9 + -8 + 8 + 12. 3 -6 + -29 - (-23 - -21) -33 What is (0 + (0 - -9) - (286 + -284)) + -7? 0 What is the value of 21 + (-8 - 15) + -2? -4 What is (-6 - (-5 - 2)) + 2 - (3 + -2)? 2 What is 13 - (17 + -12 - 3)? 11 Calculate (-7 - (13 + -30)) + (1 - -3) + -9. 5 What is -5 + -3 + (-22
{ "pile_set_name": "DM Mathematics" }
.09? 13/989 What is the nearest to 2/13 in 0, -0.01, -211578/7? 0 What is the closest to 1.4 in 0.5, 1, 0.0223, -4, 0, 143? 1 What is the closest to -40/5931 in 193, -0.8, -0.4? -0.4 What is the nearest to 2 in -1, 0.005, 445, -0.6? 0.005 What is the closest to 153 in -0.4, -4, 3, 8, -99? 8 Which is the closest to -313? (a) 4 (b) -19.1 (c) 0.45 (d) -4 b Which is the closest to 5? (a) -16/7 (b) 688 (c) 1.1 c Which is the nearest to -2/3? (a) -0.1 (b) -4 (c) 29 (d) -0.5 (e) -6 (f) -9 d Which is the nearest to 0.6575? (a) -2/147 (b) 0.1 (c) 3 (d) -2/23 b What is the nearest to 1 in -1/350, 21773, 3, 0? 0 What is the nearest to -1/2 in 0.2, 6, -0.4, -1/18, 0.5? -0.4 Which is the closest to 1355? (a) 0.1039 (b) 5 (c) 0.3 (d) -4 b Which is the nearest to -2? (a) 29.38 (b) 73.5 (c) 8 c Which is the closest to 0.02? (a) -2/33 (b) 0 (c) 1 (d) 20 (e) 373 b Which is the closest to -9? (a) -12 (b) -2/7 (c) -0.4 (d) -86.74 (e) 3/2 a What is the nearest to 331 in 0.192, 0.3, -0.5, 0? 0.3 What is the closest to 1.1 in 19, -4, -3.133, 9? -3.133 Which is the closest to -2/3? (a) 6387 (b) 70/9 (c) 1.4 c Which is the nearest to 2/3? (a) 0.5 (b) -0.03 (c) 1/6 (d) -55 (e) 50/7 a Which is the closest to -2/7? (a) -785 (b) 3 (c) -0.5 (d) 1.1 (e) -0.4 e What is the nearest to 3.4 in 0.3, 0, 203, -2, -8? 0.3 What is the closest to -1 in -18, -0.03, 25, 2, 6, 1/8? -0.03 What is the nearest to -2/5 in 6.4, -10, 0.019, -63, 0.4? 0.019 Which is the nearest to 9? (a) -2/3 (b) 10/7 (c) -555 (d) -3 b What is the closest to -1 in 2, 2469.1, 17, 1, 0.1? 0.1 Which is the nearest to 0.3? (a) 18 (b) 2045 (c) 2/51 c Which is the nearest to 846? (a) -1/3 (b) 0.2 (c) -2/2031 (d) -4/7 b What is the closest to 2 in 4/3, 2, 0.3, -2, 213830.6, -0.5? 2 Which is the closest to 0.1? (a) -2/5 (b) 1/153 (c) 30/7 (d) 2/3 (e) 0.06 e What is the closest to -175 in -1, -7686, 4? -1 Which is the nearest to -1/2? (a) -10 (b) -3575 (c) 2/3 (d) -3/4 (e) 0.8 (f) 1 d What is the nearest to -2 in 0.3, 25.444702, 2/7, 6? 2/7 What is the closest to 473 in 2/5, -2, 1/7, 3, 0.5? 3 What is the nearest to -27/2 in -18, -0.1, -4, -1/4, 138? -18 What is the nearest to 45548 in 71, 2/21, -3? 71 Which is the closest to 0? (a) -1/21 (b) 52 (c) -3804/7 a Which is the closest to 18? (a) 5 (b) 2 (c) -250/7 (d) 2/5 a What is the nearest to 44/89 in 1, 0.46, 10? 0.46 What is the nearest to -40/1893 in -3/4, -0.02, 0.1, 3? -0.02 Which is the nearest to -32? (a) -2 (b) 4 (c) -0.1116 (d) 0.3 a What is the nearest to -1/4 in 11.7, 1/3, -5/3? 1/3 What is the closest to 32/7 in -1.9, -7, 4, -0.4, -4, 0.04? 4 What is the closest to -20 in -1, -5, 2, -513594, -3? -5 What is the closest to 0.3 in -4, -5, -13/7, -0.4, -78? -0.4 What is the closest to -1 in -314.27, -1/4, -3? -1/4 What is the closest to 149/4 in 13/5, -3, -4, -0.032, 0? 13/5 Which is the nearest to 1/3? (a) 0.5 (b) 1 (c) 17 (d) 30.54 a What is the nearest to 0.1 in 1, -0.4, 15495, 1/3? 1/3 What is the nearest to 105 in 0.1, 0.2, 0, 5.277, -0.1? 5.277 Which is the closest to -1? (a) 2/9 (b) 2/3 (c) -0.23 (d) -1047 c Which is the nearest to 0.2? (a) 0.5 (b) 41 (c) 39 (d) 8/3 a Which is the closest to -0.08? (a) 1 (b) 1/78 (c) -3 (d) 6 (e) 0.5 (f) -806 b Which is the closest to 1? (a) -4 (b) 0.299 (c) -0.07 (d) 26 (e) -0.5 b What is the closest to 0.1 in 3/52, 1.3, 52? 3/52 What is the nearest to 1617/16 in 34/5, 3/5, 1/4? 34/5 What is the nearest to -2 in -3/1021, -40.7, 4, -2/15, -3? -3 Which is the closest to 0? (a) 7.244 (b) 2 (c) 0 (d) -5 (e) -0.34 c What is the closest to 1 in 0.5, 2.6, -525/76? 0.5 What is the nearest to 26 in 1.2, -1.5, -3, -4, -25? 1.2 What is the nearest to -7 in 1/22, -1, 16489/16? -1 What is the closest to -1 in 47723, -1/4, -0.5, -2/11, -126? -0.5 Which is the nearest to 2/9? (a) -5 (b) 0.4 (c) -5.85 (d) -0.02 (e) 1/6 (f) 10 e Which is the nearest to -1/2? (a) -0.5 (b) 38498 (c) 1/6 (d) -2 (e) 3 a Which is the closest to 20792? (a) -2 (b) -2/3 (c) -0.036 (d) 4 d What is the nearest to 2/11 in 2/3, -101354, -0.1, 1? -0.1 Which is the nearest to -4214? (a) -4 (b) 0.3 (c) -0.5 (d) 26.9 a Which is the nearest to 0.1? (a) -9238 (b) -1/6 (c) -2/127 c What is the closest to -1 in 3/7, -2/5, -1, 3/494, 0.01, 4? -1 What is the nearest to -11/6 in 7095, 4, 0.21? 0.21 What is the closest to -2 in 0.32, 0, 90, 4/9, 0.3? 0 What is the nearest to -6 in -0.5, 31, 0.4, -3, -3.2, 285? -3.2 What is the nearest to -77/2 in 0.5, -14016, 3? 0.5 Which is the closest to 1/2? (a) -0.1 (b) -7 (c) 0 (d) 38/4311 d What is the closest to 0.1 in 244809, -0.3, -2? -0.3 What is the closest to 2/21 in 5, 4759, -1/7, -11? -1/7 What is the closest to -3 in -1.1, 0.0549, -1/2, -2? -2 Which is the closest to -30? (a) 115 (b) 2 (c) -0.4 (d) 79 c Which is the nearest to -0.1? (a) 3 (b) 4 (c) -2/3 (d) -5.6501 (e) -0.4 e Which is the nearest to 0? (a) -11 (b) -1.26 (c) 1/7 (d) 1 (e) -0.66 (f) 2 c Which is the nearest to -1/5? (a) -0.7 (b) -1/17 (c) -0.4 (d) -3 (e) -9/17 b Which is the nearest to 0? (a) 1 (b) -70 (c) 3/22 c Which is the closest to 0.2? (a) 3/118 (b) 628 (c) 0.1 c What is the closest to -0.01 in -1/4, -13, 208, 0, 0.027? 0 What is the nearest to -101 in -4/7, 0, 254468? -4/7 What is the closest to -9 in 2/5, 1, 60/17, 0.3, 9? 0.3 What is the nearest to -0.18 in -1/3, -0.5, -12.01, -8? -1/3 What is the closest to -3 in -60/7, -0.5, -4.9, 4, -0.045? -4.9 Which is the closest to -1/4? (a) 1/6 (b) 2010 (c) -3 a What is the closest to -2/5 in -5835275, 1, 0.4? 0.4 What is the nearest to -5670 in 184, 11, -1? -1 What is the closest to 2/7 in 1/3, 9400, -0.2, 3, -0.1? 1/3 What is the closest to -1 in -4/803, -3.4, -2/3? -2/3 What is the closest to 1/170 in 23/3, -3/2, 0? 0 What is the nearest to -1/17 in -692, -1.6, -3? -1.6 Which is the nearest to 0.1? (a) -0.0423 (b) -652 (c) 10 a What is the closest to -3/25 in -84, 1, -63? 1 Which is the closest to 0.2? (a) 120 (b) 3/22 (c) -102 (d) -0.1 b What is the nearest to -1 in 506, 85751, -2? -2 What is the nearest to 2/3 in 19, -1621, -2, 0.06, -3? 0.06 Which is the closest to -0.36? (a) 3/4 (b) 2 (c) 18 (d) -4/15 d Which is the nearest to -0.13? (a) 3 (b) -4322.9 (c) 5/3 c What is the nearest to -83 in -40, 1/2, -2/7, -1/6, 1/3, 2/37? -40 What is the closest to 32 in 30, -2.3, 2/39, 3? 30 Which is the closest to 2/7? (a) 4/5 (b) -18.3 (c) -11 (d) 26 (e) -5 (f) -3 a Which is the closest to -1? (a) -2062 (b) 10 (c) -5/2 (d) -4 (e) -293 (f) -5 c Which is the nearest to 0.03? (a) 0.3 (b) 5 (c) -14 (d) 0 (e) 134 d Which is the closest to -1? (a) 5 (b) 250 (c) -8 (d) -13 (e) -5 (f) -3 f What is the closest to 3 in -16, 3, 8/3, 4, -5, 0.799? 3 What is the nearest to -2 in 1/9, 0.02, 5, -0.4226? -0.4226 Which is the nearest to -15/464? (a) 0.51 (b) 3 (c) -2 a Which is the nearest to -230? (a) -5 (b) -12507 (c) -1/2 a Which is the closest to -2/3? (a) 512 (b) -7/5 (c) 0 (d) -1 d Which is the closest to -5/6? (a) 56 (b) 0 (c) 2/17 (d) 4/5 (e) -2 b What is the closest to -2/7 in -1, -2, 2/11, -0.3, -2/7, -156.26? -2/7 What is the closest to -4 in 247, -31, 9? 9 What is the nearest to -249 in 21, 133.6, 10? 10 What is the nearest to 0 in -9, -0.3, 17/2, -0.29, 1? -0.29 Which is the closest to -0.1? (a) 5 (b) -72 (c) -1041 (d) -0.05 d Which is the nearest to -21? (a) 0.2 (b) -0.35145 (c) -2 c Which is the nearest to -29? (a) 1358 (b) -0.5 (c) -5 (d) -2/7 (e) -1 c What is the nearest to 60 in 2/21, 1, -1, -13? 1 What is the closest to -509 in -1/12, 0.2, 1? -1/12 Which is the nearest to -0.04? (a) -0.6415 (b) -2/9 (c) 5 (d) 4/5 (e) -3/4 b What is the nearest to 0.11 in 93, -225, -3? -3 What is the nearest to -336 in -33, 2/5, -3/5, 1/4, -2, -14? -33 Which is the nearest to 61.5? (a) 0.073 (b) 234 (c) -2/11 (d) 3 d Which is the closest to -2? (a) 0.3 (b) -2 (c) -10 (d) -0.1 (e) 163 b What is the nearest to -1 in 0.04, 1.7, -0.3, -0.1, -167, -10? -0.3 Which is the closest to -1/4? (a) 0.0693 (b) 961 (c) -0.2 c What is the nearest to 7 in -3, 4, -0.017, -125, 0.5, -1/2? 4 What is the nearest
{ "pile_set_name": "DM Mathematics" }
-4*n + 8 = -0. What is h in -h**4 + 35*h**n - h - 34*h**2 + h**3 + 0*h = 0? -1, 0, 1 Let c(a) = 4*a**2 + 5*a. Let y(b) = -b + 1. Let f be y(3). Let z(u) = -2*u**2 - 2*u. Let x(h) = f*c(h) - 5*z(h). Factor x(o). 2*o**2 Suppose 35*i**2 + 29*i - 25*i**2 + 6*i + 105*i**2 + 5*i**3 + 75*i = 0. What is i? -22, -1, 0 Let p(j) be the first derivative of j**3/7 + 171*j**2/7 + 9747*j/7 + 307. Factor p(z). 3*(z + 57)**2/7 Suppose 28*i - 24*i - 1732 = 0. Find x, given that -20*x**2 - 15*x**4 + 433 + 40*x**3 - i = 0. 0, 2/3, 2 Let k(f) be the third derivative of -f**8/5040 + f**7/504 - 7*f**6/1080 + f**5/120 + 13*f**3/6 + 4*f**2. Let i(r) be the first derivative of k(r). Factor i(y). -y*(y - 3)*(y - 1)**2/3 Let a(j) = -14*j**3 - 36*j**2 - 88*j - 56. Let z(g) = -9*g**3 - 24*g**2 - 58*g - 37. Let f(h) = 5*a(h) - 8*z(h). Let f(w) = 0. What is w? -2 Let h = 2165 + -8645/4. Factor -3/4 + h*p - 15/4*p**3 + 3/4*p**2. -3*(p - 1)*(p + 1)*(5*p - 1)/4 Suppose 5*x = 56 - 46. Let o = 492/3367 - -2/259. Factor o*g + 30/13*g**3 + 0 + 8/13*g**5 + 14/13*g**2 + x*g**4. 2*g*(g + 1)**3*(4*g + 1)/13 Let r = 1313 - 157559/120. Let h(j) be the third derivative of 0*j + 0*j**7 + 0*j**5 + 1/672*j**8 + 6*j**2 - r*j**6 + 0*j**3 + 0 + 1/48*j**4. Factor h(l). l*(l - 1)**2*(l + 1)**2/2 Determine c so that 5*c**3 - 4*c - 10*c - 10*c**2 - 907 + 937 - 11*c = 0. -2, 1, 3 Let d(o) be the second derivative of o**5/10 - o**4/6 - 2*o**3 + 2*o - 5. Suppose d(s) = 0. What is s? -2, 0, 3 Let i be (90/4)/(-15)*(-16)/6. Let f(n) be the third derivative of -2*n**2 + 0 - 1/18*n**3 + 1/360*n**6 + 0*n - 1/72*n**i + 1/180*n**5. Factor f(v). (v - 1)*(v + 1)**2/3 Let p(j) be the first derivative of -j**5/25 - 11*j**4/20 + 252. Find k such that p(k) = 0. -11, 0 Factor 1/5*g**2 + 38/5 - 39/5*g. (g - 38)*(g - 1)/5 Let w(m) = m**2 - 4. Let t be w(0). Let o = 0 - t. Let 3*l**2 + 3*l**2 - 4*l**2 + o*l = 0. What is l? -2, 0 Factor 2*x**2 - 66 + 44*x + 19 + 36 + 35 + 18. 2*(x + 1)*(x + 21) Let y(f) be the first derivative of -6644672*f**4 - 70688*f**3 - 282*f**2 - f/2 + 823. Find j such that y(j) = 0. -1/376 Let x = 127 - 15. Suppose -3*f = -5*n + x, 3*f = 5*n - f - 116. Find z, given that 8*z**5 + 4*z**2 - 3*z + 0*z**2 + 12*z**3 - z - n*z**4 = 0. -1/2, 0, 1 Let r be 7/(-21)*2/2*30/(-8). Let 5/2*z**4 - 5/4*z**5 + 0 + r*z - 5/2*z**2 + 0*z**3 = 0. What is z? -1, 0, 1 Let x = -761/6 + 127. Let b(w) be the first derivative of -3 + 0*w**2 - 1/3*w**3 - 3/5*w**5 + 0*w - x*w**6 - 3/4*w**4. Factor b(c). -c**2*(c + 1)**3 Determine s so that 47/4*s + 0 - 1/8*s**2 = 0. 0, 94 Let h(c) be the second derivative of -c**7/315 + c**6/180 + c**5/90 - c**4/36 - 4*c**2 - 8*c. Let x(p) be the first derivative of h(p). Factor x(s). -2*s*(s - 1)**2*(s + 1)/3 Let p(t) be the third derivative of t**8/20160 - t**6/180 + 2*t**5/15 + 18*t**2. Let r(j) be the third derivative of p(j). Factor r(c). (c - 2)*(c + 2) Let l(s) be the third derivative of 1/90*s**6 - 1/30*s**5 + 2*s**3 + 0*s - 6*s**2 + 0 - 1/3*s**4. Let o(z) be the first derivative of l(z). Factor o(h). 4*(h - 2)*(h + 1) Let k(y) be the second derivative of -3*y**5/5 + 22*y**4/3 - 50*y**3/3 + 12*y**2 + 188*y. Factor k(i). -4*(i - 6)*(i - 1)*(3*i - 1) Let w(c) be the second derivative of c**5/20 - c**4/8 - 2*c**2 - 19*c. Let v(p) be the first derivative of w(p). Determine h so that v(h) = 0. 0, 1 Let c(m) be the second derivative of m**5/5 + 44*m**4/21 + 94*m**3/21 + 20*m**2/7 + 9*m + 23. Factor c(l). 4*(l + 1)*(l + 5)*(7*l + 2)/7 Factor 1/9*q**2 - 9*q - 82/9. (q - 82)*(q + 1)/9 Let p(v) be the third derivative of v**7/210 + 17*v**6/120 + 11*v**5/60 - 77*v**4/24 + 8*v**3 + 11*v**2 + v. What is g in p(g) = 0? -16, -3, 1 Suppose 0 = -3*d - 0*n + 4*n + 43, 3 = -3*n. Suppose -12*c = -d*c + 2. Factor -4/11 - 6/11*j - 2/11*j**c. -2*(j + 1)*(j + 2)/11 Suppose -5 = -2*a + 1. Solve 0*y + 5*y**a - 4*y - 7*y**3 + 6*y**2 = 0. 0, 1, 2 Suppose -5*m - 40 = -5*k, 2*m + 0 + 4 = -2*k. Let w(b) be the first derivative of 0*b**2 + 0*b + 1/9*b**k + 0*b**4 + 7 - 1/15*b**5. What is c in w(c) = 0? -1, 0, 1 Suppose 0 - 1/3*n**3 - 5/3*n - 2*n**2 = 0. What is n? -5, -1, 0 Let o = -248 + 251. Let k(d) be the first derivative of 1/8*d**4 + 0*d**o - 1/5*d**5 + 0*d + 1/12*d**6 - 1 + 0*d**2. Factor k(m). m**3*(m - 1)**2/2 Let z(s) be the second derivative of -s**7/56 + s**6/20 - s**4/8 + s**3/8 + 27*s. Determine r so that z(r) = 0. -1, 0, 1 Suppose 4*k - 17 = 6*v - 5*v, -25 = 5*v. Factor -6*f + 2*f + 4*f**k - 3*f**2 - 6*f**2 + 3 - 6*f. (f - 3)*(f + 1)*(4*f - 1) Suppose 0 = m - 3*m - 4*s + 12, 4*s = -m + 4. Suppose f = 3*f - m. Factor -3 - 3*d + f*d**2 - 3 + 2*d**2 + 3*d**3. 3*(d - 1)*(d + 1)*(d + 2) Let f(l) be the third derivative of l**7/42 + 13*l**6/2 + 1521*l**5/2 + 98865*l**4/2 + 3855735*l**3/2 - 69*l**2. Solve f(y) = 0. -39 Factor -9/4 + 3/2*r + 3/4*r**2. 3*(r - 1)*(r + 3)/4 Let c(p) = -12*p**3 + 76*p**2 + 156*p + 76. Let b(h) = 14*h**3 - 77*h**2 - 156*h - 75. Let u(y) = 4*b(y) + 5*c(y). Let u(n) = 0. Calculate n. -1, 20 Let v(o) be the second derivative of -o**4/12 + 71*o**3/6 + 36*o**2 + 91*o - 3. Find i such that v(i) = 0. -1, 72 Let r(q) be the second derivative of 18*q**5/35 - 16*q**4/7 + 85*q**3/21 - 25*q**2/7 - 3*q + 13. Factor r(x). 2*(x - 1)*(6*x - 5)**2/7 Determine f, given that 20*f**2 - 72*f**4 + 18*f**3 + 42*f**4 + 8*f - f**5 + 37*f**4 + 2*f**5 = 0. -2, -1, 0 Let d(s) be the second derivative of s**5/5 + 257*s**4 + 132098*s**3 + 33949186*s**2 - 500*s. Find f such that d(f) = 0. -257 Let g(h) be the first derivative of -7*h**3/3 + 13*h**2/2 - 12*h - 5. Let a(d) = d**2 + d + 1. Let r(v) = 2*a(v) + g(v). Solve r(w) = 0 for w. 1, 2 Let m(h) = -24*h**4 + 159*h**3 - 24*h**2 + 24*h. Let f(n) = n**4 - n**3 - n**2 - 2*n. Let t(p) = 12*f(p) + m(p). Solve t(x) = 0 for x. 0, 1/4, 12 Suppose -4 = -4*i + 2*i. Let a = 21 - 21. Factor 1/3*o**i + 2/3*o + a. o*(o + 2)/3 Suppose 0 = 2*i - r - 20, i + 3*r = 8*r + 10. Suppose i*c - 62 = -42. Factor -2/5*y + 0 + 2/5*y**c. 2*y*(y - 1)/5 Let o(v) be the first derivative of 4*v**6 + 114*v**5/5 + 63*v**4/4 - 13*v**3 - 6*v**2 - 286. Solve o(u) = 0 for u. -4, -1, -1/4, 0, 1/2 Factor 8/7*p + 0 - 2/7*p**4 - 16/7*p**2 + 10/7*p**3. -2*p*(p - 2)**2*(p - 1)/7 Factor -36*s**2 - 7*s + 79*s - 107*s**4 - 110*s**4 - 105*s**4 - 8*s**3 + 326*s**4. 4*s*(s - 3)*(s - 2)*(s + 3) Let d = -7 + 9. Factor 15*u**3 - 20*u**4 - 20*u**5 - 8*u + 25*u**5 + 20*u**d - 12*u. 5*u*(u - 2)**2*(u - 1)*(u + 1) Let n(z) be the third derivative of -z**5/15 + 7*z**4/24 + z**3/3 - 70*z**2 - 2*z. Suppose n(x) = 0. What is x? -1/4, 2 Let f(j) be the first derivative of 0*j**2 + 0*j + 3/4*j**4 + j**3 - 56. Factor f(b). 3*b**2*(b + 1) Let i be (3*7/903)/((-15)/526). Let c = 58/43 + i. Let 2/15*a**2 + 2/5 - c*a = 0. Calculate a. 1, 3 Let t(h) = h**2 + 42*h + 360. Let l be t(-30). Suppose 4/3*z**3 - 8/3*z**2 + 4/3*z**4 + l*z + 0 = 0. What is z? -2, 0, 1 Let l(g) be the second derivative of -g**4/3 - 208*g**3/3 - 408*g**2 + 51*g. Suppose l(b) = 0. What is b? -102, -2 Let a(q) be the first derivative of 5*q**4/4 + 35*q**3/3 - 85*q**2/2 + 45*q + 341. Suppose a(m) = 0. What is m? -9, 1 Let v(s) = 3*s**4 - 10*s**3 - 40*s**2 + 88*s - 43. Let a(b) = 2*b**4 - 10*b**3 - 40*b**2 + 87*b - 42. Let j(l) = -2*a(l) + 3*v(l). Find r, given that j(r) = 0. -3, 1, 3 Factor -76*f + 54*f**2 + 13 + 11*f**4 - 25*f**4 + 12*f**4 + 3*f**3 + 19 - 11*f**3. -2*(f - 2)*(f - 1)**2*(f + 8) Let s be 45 + ((-8)/4 - -2). Suppose 25*d**3 + 18*d**2 + s*d + 36*d**2 + 11 + 6*d**2 - 1 = 0. What is d? -1, -2/5 Suppose -19*m = -18*m - 4. Let r(a) be the first derivative of -1/2*a**4 + 0*a + m - 2/25*a**5 - 4/5*a**2 - 16/15*a**3. Factor r(x). -2*x*(x + 1)*(x + 2)**2/5 Factor 65/4*j - 75/2 - 5/4*j**2. -5*(j - 10)*(j - 3)/4 Suppose 2323 + 941 = 16*p. Let q = -201 + p. Factor -3/2*l - 1 + 2*l**q + 0*l**4 - 1/2*l**5 + l**2. -(l - 2)*(l - 1)*(l + 1)**3/2 Let y(m) = 32*m**3 - 6*m**2 - 24*m - 2. Let u(a) = 5*a**3 - a**2 - 4*a. Let z(s) = -39*u(s) + 6*y(s). Let z(q) = 0. What is q? -2, 1, 2 Let n(y) = y**3 + y**2 + y + 1. Let z(m) = -17*m**3 + 58*m**2 - 11*m - 50. Let p(c) = 5*n(c) + z(c). Factor p(q). -3*(q - 5)*(q - 1)*(4*q + 3) Let k be 3 + (0 - -4)/(-4). Determine n, given that -k*n**5 + 69*n**2 + 4*n**4 - 37*n**2 - 36*n**2 + 2*n = 0. -1, 0, 1 Let m(f) = -717
{ "pile_set_name": "DM Mathematics" }
2 is divided by 12. 10 Suppose 2*h - 25 = 27. Suppose 3*g - g = h. What is the remainder when 37 is divided by (g/(-2))/((-2)/4)? 11 Suppose -9 = 2*k - 3, -2*n - 4*k + 16 = 0. Suppose 0*m = -m + 4*p + 32, m + 2*p = n. Calculate the remainder when m is divided by 11. 9 Let g(j) = -j**2 + 6*j + 4. Suppose -6*t + 9*t = 12. What is the remainder when (14/t)/((-10)/(-20)) is divided by g(6)? 3 Suppose -13*f = -16*f + 30. Calculate the remainder when 17 is divided by f. 7 Suppose -u = u - y - 80, -158 = -4*u + 3*y. What is the remainder when u is divided by 0 - -11 - (-3 - 0)? 13 Let d = -3 - -29. Let s = d - -8. Let b = -11 + s. Calculate the remainder when b is divided by 8. 7 Calculate the remainder when ((-80)/60)/(2/(-39)) is divided by 14. 12 Suppose u - 38 = -u. Suppose -16 = -3*m + 14. What is the remainder when u is divided by m? 9 Let p(c) = 2*c**2 + 3. What is the remainder when p(4) is divided by (-4)/((1 + 1)/(-6))? 11 Let a = 589 - 352. What is the remainder when a is divided by 48? 45 Suppose -5*k + 4*k + 61 = 0. What is the remainder when k is divided by 21? 19 Suppose 5*b = j - 6, -3*j - j = 3*b - 116. Calculate the remainder when 74 is divided by j. 22 Suppose 13 = -4*u + 5. Let w be (32 + -3)*2/u. Let n = w + 41. What is the remainder when n is divided by 7? 5 Calculate the remainder when 55 is divided by ((-180)/21)/(2/(-7)). 25 Let u = 162 + -132. What is the remainder when 0 + 1 + (58 - 1) is divided by u? 28 Let r(n) = -n**3 + 8*n**2 - 7*n - 8. Suppose -3*y + 0*y = -18. What is the remainder when r(y) is divided by 8? 6 Suppose c - 61 = 4*c - 2*f, 0 = -2*f - 2. Let a be (-74)/10 + 2/5. Let p = a - c. Calculate the remainder when p is divided by 4. 2 Suppose 4*t + 31 = h, 2*t + 0 = 3*h - 43. What is the remainder when 52 is divided by h? 8 Let k be (1 + -3)*(-2)/4. Suppose 4*b + 3*l - 27 - 110 = 0, -k = l. Calculate the remainder when b is divided by 9. 8 Let h = -183 - -195. Suppose 0 = -2*n - o + 67, n + 4*n - 166 = -4*o. What is the remainder when n is divided by h? 10 Let g(z) = 4*z**2 - 3. Calculate the remainder when 38 is divided by g(-2). 12 Suppose -j - j = 4*z - 22, 5*z + 3*j - 30 = 0. Suppose -80 = -i - z*i. What is the remainder when i is divided by 11? 9 Let m(j) = -j**3 + 4*j**2 + j - 2. Calculate the remainder when 29 is divided by m(3). 9 Let z = 6 - 16. What is the remainder when (2*-1)/(z/245) is divided by 17? 15 Suppose 2 = -2*n + 28. Calculate the remainder when (-12)/(-1*1/2) is divided by n. 11 Calculate the remainder when 4/5 + 686/5 is divided by 28. 26 Let s(b) = -b**3 - 5*b**2 + 6*b + 9. Calculate the remainder when s(-6) is divided by 3. 0 Let a(u) = -9*u - 6. Let o = 54 + -44. What is the remainder when a(-5) is divided by o? 9 Let s(z) = z**3 + 9*z**2 + 6*z - 2. What is the remainder when 38 is divided by s(-8)? 10 What is the remainder when ((-2)/(-6))/(1/111) is divided by 13? 11 Suppose -5*d = -6*d + 30. Calculate the remainder when 119 is divided by d. 29 Suppose 0 = -7*q + 4*q + 33. What is the remainder when 42 is divided by q? 9 Let p(x) = x**2 + 5*x - 6. Let g be p(-6). Suppose 2*d - d - 11 = g. Calculate the remainder when 32 is divided by d. 10 Let t = 49 + -24. Let q(u) = u**3 - 10*u**2 + 2*u - 11. Calculate the remainder when t is divided by q(10). 7 Let h = 4 - 8. Let w(v) = v - 5. Let g be w(h). What is the remainder when 8 is divided by ((-1)/((-3)/g))/(-1)? 2 Let c = 14 + 70. What is the remainder when c is divided by 22? 18 Let c(u) = 51*u**2 + u + 1. Let i be c(-1). Let d = i + -30. What is the remainder when d is divided by 12? 9 Suppose 0 = y - 2*y + 17. Calculate the remainder when y is divided by 10. 7 Suppose -s = -4*h + 37 + 42, 103 = 5*h + 3*s. Suppose 3*q = 7*q - h. Suppose q*y = y + 184. What is the remainder when y is divided by 12? 10 Let w = 9 - 1. Let s = -21 - -11. Calculate the remainder when (-1)/2 + (-235)/s is divided by w. 7 Let j(t) = t**3 + 7*t**2 + 5*t. Let a = 2 - -13. Calculate the remainder when a is divided by j(-6). 3 Suppose 2*j - 42 = -5*o, 11 = -0*o + o + 3*j. Calculate the remainder when 23 is divided by o. 7 Let s(i) = -i**2 - 16*i + 17. Let l be s(-16). Suppose -l - 218 = -5*f. What is the remainder when f is divided by 12? 11 Let f = -3 - -6. Let c(a) = a**3 + a**2 - 5*a + 4. Suppose b = -2*y + 7, -3*b - 2*b - y + 44 = 0. What is the remainder when c(f) is divided by b? 7 Let y be ((-105)/14)/((-1)/(-2)). Let j = 30 + y. Suppose 0 = r - 2*c - 15, 3*r - c + j = 4*r. Calculate the remainder when 29 is divided by r. 14 Suppose -24 = -4*h + 8*h. Let n = h + 21. Calculate the remainder when 29 is divided by n. 14 Let r(f) = f - 6. Calculate the remainder when 11 is divided by r(9). 2 Suppose 5*b - 32 = 43. Suppose b = o + 2*o. Calculate the remainder when 14 is divided by o. 4 Suppose -5*t + 13 = -37. Let m = t + -8. What is the remainder when 5 is divided by m? 1 Let t = -3 - -6. Suppose 16 = -p - 5*d, -22 - 20 = -3*p + t*d. Calculate the remainder when 16 is divided by p. 7 Suppose d = -d + 2. Let l be ((-6)/9)/((-4)/6). What is the remainder when l/(3/3 - 0) is divided by d? 0 Let l be (52/6)/((-4)/(-12)). Suppose -w - 5*k = -0*k - l, 3*w - 3*k = 42. Calculate the remainder when 63 is divided by w. 15 Let a be -2 - (-3 + 3) - 4. Suppose 0 = 4*y - 0 + 32. Let v = a - y. What is the remainder when 2 is divided by v? 0 Suppose o + 7 = d - 0, 4*d + 5*o + 8 = 0. Let a = d + 6. What is the remainder when 33 is divided by 150/a + 3/9? 16 Suppose y = 2*q - 34, -2*q + 7*q - 67 = -2*y. What is the remainder when 29 is divided by q? 14 Let t(m) = -16*m - 79. Calculate the remainder when 60 is divided by t(-6). 9 Suppose 4*a + 48 = 4*f, 6*a = 3*f + a - 40. Let g = 9 - -20. Calculate the remainder when g is divided by f. 9 Suppose -5*l + 40 = p - 11, 2*p = -3*l + 109. Suppose 4 = -4*y - 12. Let x(q) = -6*q - 5. What is the remainder when p is divided by x(y)? 18 Let o = 66 - 41. Let r(q) = -q**3 - 5*q**2 - 4*q + 4. Let t be r(-5). Let a = -15 + t. What is the remainder when o is divided by a? 7 Suppose 0 = -3*p + 8*p - 65. Suppose -2*n + p = -n. Suppose 0 = -5*z - 39 + 159. What is the remainder when z is divided by n? 11 Let x(f) be the second derivative of -f**5/20 + 7*f**4/12 - f**3/2 - 4*f**2 - 4*f. Calculate the remainder when 39 is divided by x(6). 9 Suppose 5*h = -2*g + 23, -7*h + 2*h - g + 19 = 0. Calculate the remainder when 18 is divided by h. 0 Let g(x) be the first derivative of x**4/4 - x**3/3 + 8*x - 3. Let u be (-3)/12 - (-1)/4. Calculate the remainder when 15 is divided by g(u). 7 Let l = 128 - 89. Let d be (0 + -2 - -16)/2. Suppose 3*r = -k + 22, -3*k - r = -d*k + 36. What is the remainder when l is divided by k? 9 Let t(j) = j**2 - j + 56. Suppose -c - 4*a = 8, 0*c + 2*c + 2 = -a. Let i be t(c). What is the remainder when 27 is divided by i/6*6/4? 13 Let y(n) = -30*n - 3. Let q be y(-2). Let v = q + -41. Calculate the remainder when v is divided by 9. 7 Suppose -3*n + 12 = -6. What is the remainder when 13 + (-58)/18 + (-14)/(-63) is divided by n? 4 Let u(f) = -f**3 - 2*f**2 - 3. Let z be u(-5). Calculate the remainder when 0 + 5/(10/z) is divided by 13. 10 Suppose 21 = 5*o - i - 2*i, 5*o + 4*i - 7 = 0. Suppose 3*u + o*b = 2*u + 33, b = 4*u - 106. What is the remainder when u is divided by 15? 12 Suppose 20*l = 29*l - 45. Suppose -4*a - a = -5. Let o = 11 + a. Calculate the remainder when o is divided by l. 2 Let i(t) be the second derivative of t**5/20 + 11*t**4/12 + 5*t**3/3 + 5*t**2 + 4*t. Calculate the remainder when i(-10) is divided by 3. 1 What is the remainder when 0 + (-1 - 1) - -14 is divided by 8? 4 Let p = 63 - 7. Calculate the remainder when p is divided by 4/6 + (9 - 16/(-3)). 11 Let m = -143 - -248. Calculate the remainder when m is divided by 36. 33 Let y be 3*-1*-1 - -2. Suppose 3*h = -y*b + 14 + 4, 0 = 5*h - 4*b - 30. What is the remainder when 28/3 + (-8)/(-12) is divided by h? 4 Suppose v + 13 + 19 = j, -2*j + 4*v = -54. Let z(t) = 16*t + 10*t - 25*t + 8. What is the remainder when j is divided by z(11)? 18 Suppose -3*i = -3*u + 6, 0 = -5*i + 3*u - 3 - 3. Suppose 0 = -t, i = m - 4*m - t + 27. What is the remainder when 26 is divided by m? 8 Let x(l) = -2*l**3 + l**2 + l. What is the remainder when x(-1) is divided by 1?
{ "pile_set_name": "DM Mathematics" }
rime factors of f? 3 Suppose 0 = -21*x + 62*x - 113898. What are the prime factors of x? 2, 3, 463 Let z(j) = -3*j**2 - 33*j - 6. Let q be z(-10). Let g = q + 7. What are the prime factors of g? 31 Let o(d) = 11*d + 71. What are the prime factors of o(26)? 3, 7, 17 Suppose -4*o + 3*r = -3344, -r + 20 = 4*r. What are the prime factors of o? 839 Suppose 11*n - 3*n = -24. What are the prime factors of 2958/18 + n/9? 2, 41 Suppose -2*r = -4*v + 6 - 16, 0 = -5*v + 4*r - 17. Let j be (-7 + v)/((-2)/1). Suppose b = -t + 26, 89 = j*b + 2*t - t. What are the prime factors of b? 3, 7 Let s be 1/4 + (-500)/16. Let u = s + 34. List the prime factors of u. 3 Let z = -166 + 256. Suppose -4*j = -26 - z. What are the prime factors of j? 29 Let r(u) = 73*u**2 + 9*u + 28. List the prime factors of r(-5). 2, 113 Let j = -78 - -11. Suppose -6*f - 225 = 453. Let r = j - f. List the prime factors of r. 2, 23 Let i(s) = -68*s + 3. Let o be i(-2). Suppose 8*y = 651 - o. What are the prime factors of y? 2 Suppose -2*s + 118*r = 116*r - 5850, -2*s = 2*r - 5842. List the prime factors of s. 37, 79 Let t = 812 + -401. Suppose -5*s = -1161 + t. List the prime factors of s. 2, 3, 5 Suppose 5*a = 5*g - 20, -g + 6*a + 8 = 4*a. Suppose u - 3 = -g. Suppose -156 = -u*p + 5*t, 2*p - 63 = -3*t + 41. What are the prime factors of p? 2, 13 Let b(d) = -d**3 - 7*d**2 + 9*d + 11. Let h be b(-8). Suppose u = -p + h*u + 116, 4*p + u = 509. List the prime factors of p. 2, 3, 7 List the prime factors of (-20)/130 - 99396/(-156). 7, 13 Let m(z) = -7*z + 2. Let b(s) = 5*s - 1. Let j(h) = -8*b(h) - 5*m(h). List the prime factors of j(-11). 53 Let s be 3/((-1)/445*-5). Let i = 411 - s. List the prime factors of i. 2, 3 Let i(o) = 4*o + 16. Let y be i(-12). Let d = y - -44. What are the prime factors of d? 2, 3 Let b(k) = 204*k**2 - 10*k + 6. Let u(n) = -611*n**2 + 29*n - 17. Let v(m) = -17*b(m) - 6*u(m). Let q be v(-3). What are the prime factors of q/42 + (-4)/(-14)? 43 Let j(l) = -l**3 + 47*l**2 - 56*l + 88. What are the prime factors of j(45)? 2, 809 Let p = -371 - 145. Let l be p/(-18) - 4/6. Let s = 51 - l. What are the prime factors of s? 23 Let i = 165 - 103. List the prime factors of i. 2, 31 Let z(l) = -12*l**3 - l**2 + 2*l - 3. Let f be z(2). Let h = f + 140. What are the prime factors of h? 41 Let p be 5 - -1*3/3. Let j(r) = 6 - p + 8*r. List the prime factors of j(1). 2 Let g(a) = -2*a**2 - 50*a - 15. Suppose 2*t + 40 = -0*t. List the prime factors of g(t). 5, 37 Let o(m) = m**2 + 4 + 5*m + 4 - 3*m**3 - 3. Let v be o(-2). Suppose -q - 4*t + v = 0, q - 3*t - 11 - 33 = 0. What are the prime factors of q? 5, 7 Let u(v) = 25*v - 48. List the prime factors of u(21). 3, 53 Let r = -4 + -1. Let i(t) = -t - 2. Let m be i(r). Suppose -m*q - 2*q = -185. What are the prime factors of q? 37 Suppose -3*v = -4*v + 3. Suppose v*s + 7*g = 3*g + 56, -31 = -3*s + g. What are the prime factors of s? 2, 3 Suppose 0*v - 5*g = -v + 17, 0 = v - 2*g - 2. Let p be (-4 - 123/(-3)) + 2. Let o = p + v. What are the prime factors of o? 31 Suppose 2*v + 4*j - j - 9 = 0, 0 = 3*v + 2*j - 6. Suppose v = 10*f - 7*f - 6. What are the prime factors of f? 2 Suppose -3*u - 593 = -s, -4*u + 817 = 4*s - 1587. What are the prime factors of s? 599 Let z(v) = 3*v**3 - 25*v**2 + 25*v + 13. List the prime factors of z(9). 2, 5 Let l be (-44)/(-20) - 1/5. Let s = l - -2. Let k(h) = -h**3 + 4*h**2 + 2*h - 1. List the prime factors of k(s). 7 Let g(w) = -w**3 - 25*w**2 + 93*w - 60. What are the prime factors of g(-31)? 3, 941 Suppose 0 = -3*n - 12, 3*j - 9*n + 8*n + 47 = 0. Let q = j + 81. List the prime factors of q. 2 Suppose -4*i - 2*j - 2*j = -40, -3*i + 2 = -4*j. Let h be 2 + -1 + 42/(3 - -3). Suppose h*p = i*p + 38. What are the prime factors of p? 19 Let w = 796 + -662. List the prime factors of w. 2, 67 Let w(n) = -2*n**3 + 18*n**2 - 16*n + 4. Let h(j) = -3*j**3 + 27*j**2 - 24*j + 6. Let l(i) = -5*h(i) + 8*w(i). List the prime factors of l(7). 2, 11 List the prime factors of (38077/202)/(2*(-1)/(-12)). 3, 13, 29 Let z be (141/12)/((105/56)/15). Suppose -2*f = f + 147. Let h = z + f. What are the prime factors of h? 3, 5 Let u(z) be the second derivative of -7/3*z**3 + 1/20*z**5 + 13/12*z**4 - 3*z + 11/2*z**2 + 0. What are the prime factors of u(-14)? 11 Let m = -2429 + 4314. List the prime factors of m. 5, 13, 29 Suppose -n + 5*n = 160. Let u be (-15)/(50/60*-3). Suppose -u*y = -n - 50. What are the prime factors of y? 3, 5 Let z = 968 + -356. What are the prime factors of z? 2, 3, 17 Let x(j) = -j**3 - 18*j**2 - 17*j - 16. List the prime factors of x(-18). 2, 5, 29 Let v = 75 - 65. Suppose -r = -3*r + 10. Suppose r = -w + v. What are the prime factors of w? 5 Let t(c) = -c**3 + 23*c**2 + c + 4. List the prime factors of t(23). 3 Let m(u) = -u**3 + 2*u**2 + 2. Suppose -c - 1 = 2*w + 11, 4*w - 5*c - 4 = 0. Let k be 0 - -4*w/(-8). List the prime factors of m(k). 2 Suppose 2*n + 4*h - 20 = 0, 7 - 25 = -4*n + 3*h. Suppose -58 = -n*i + 5*i. List the prime factors of i. 2, 29 List the prime factors of 42/(-7) + 1338/6. 7, 31 Suppose -2*u + 3*k = -22, 4*u - 24 = -0*k + k. Suppose f + u*f = 144. List the prime factors of f. 2, 3 Let g(q) = 13*q + 19. Let y(z) = -7*z - 10. Let x(n) = -6*g(n) - 11*y(n). Let t be x(-10). Let a = t - -8. What are the prime factors of a? 2, 7 Suppose 37*q = 1729 + 39156. List the prime factors of q. 5, 13, 17 Suppose v - r = -31 + 83, 2*r = -2*v + 124. Let x = 34 + v. List the prime factors of x. 7, 13 Let r = -59 + 63. Suppose 399 = 5*a - 2*n - 245, a + 3*n - 139 = 0. Suppose r*s = 5*w - 329, -3*w = -5*w + 2*s + a. What are the prime factors of w? 3, 23 Let l = 1810 + -47. What are the prime factors of l? 41, 43 Let p = 105 - -477. List the prime factors of p. 2, 3, 97 Suppose 0 = 7*b - 9*b + 58. Let j = b - -42. What are the prime factors of j? 71 Let o(d) = 3*d + d**2 - 2*d + 5 + 0*d + 3*d. Suppose 3*a + 14 = a. List the prime factors of o(a). 2, 13 Suppose -2*l - 3 = 2*p + 5, 0 = 2*p + 5*l + 14. Let a be (-12)/p*1/2. Suppose 5*j + 45 = 5*o, j + a*j + 1 = -o. What are the prime factors of o? 7 Suppose -h = 3*d - 16, -h = -2*d - 5*h + 4. Suppose -2*s - 22 = -5*n, s + d = n + 4*n. What are the prime factors of (s/(-5))/1*10? 2 Suppose 0 = 4*l + l - 40. Suppose 66 = l*w - 38. List the prime factors of w. 13 Suppose 0 = -13*m - 3*m + 5264. Suppose -5*j + 6*j = -5*c + m, 5*j + 110 = 2*c. List the prime factors of c. 5, 13 Let f = 1962 - 591. What are the prime factors of f? 3, 457 Let s = -622 - -1084. List the prime factors of s. 2, 3, 7, 11 Suppose -5*d = -4*o - 36 - 15, 2*d - 4*o - 30 = 0. Let g(w) = w**3 - 8*w**2 + 7*w + 1. Let u be g(d). What are the prime factors of -20*u*(-21)/12? 5, 7 Suppose 4*l + 108 + 26 = -5*o, 3*l = -o - 95. Let a be (-21)/12 - 54/(-72). What are the prime factors of 1/a*1*l? 31 Let i = 126 + 1824. What are the prime factors of i? 2, 3, 5, 13 Let h = 8 - 8. Suppose -344 = -3*w - 3*j - 41, h = -3*w + j + 303. List the prime factors of w. 101 Let t(g) = g**2 + 8*g + 9. Let a be t(-7). Let b(m) = 16*m - 27. Let y be b(6). Suppose 0 = -3*i - o + y, 3*o = i + a*o - 23. What are the prime factors of i? 23 Let n(r) = r**3 + 5*r**2 + 6*r + 4. Let x be n(-4). What are the prime factors of 69 + x/((-12)/(-9))? 2, 3, 11 Suppose g - 2*f = 735, -4*g = -5*g + 5*f + 732. List the prime factors of g. 11, 67 Suppose -54*t = -77*t + 116012. List the prime factors of t. 2, 13, 97 Let f be (-1)/((-1)/10*(-20)/(-8)). Let h be -41*4/(-5 - -1). Suppose b + f*b = -2*l + 2, 2*b + h = 3*l. List the prime factors of l. 11 Let q be (-3171)/(-15) + 16/(-40). Let b = q + -104. What are the prime factors of b? 107 List the prime factors of (-11)/(-1)*1687*13/91. 11, 241 Suppose y - 2*y - 104 = 4*z, -y = z + 26. List the prime factors of z*-3*2/3. 2, 13 Let m = -490 - -896. List the prime factors of m. 2, 7, 29 Let x(z) = -153*z + 1. Let s be x(-2). Suppose c - 73 = 6*m - m, -4*c = -5*m - s. List the prime factors of c. 2, 3, 13 Let d(q) = 3*q**2 + 4*q - 2. Let l = -44 + 49. List the prime factors of d(l). 3, 31 List the prime factors of (-5707)/(-26) + (-1)/(-2). 2, 5, 11 Let p(q) = 9*q. Let w be p(1). Let c = w - 9. Suppose 7 = 2*z - z + 4*s, c = -4*z + 4*s + 68. List the prime factors of z. 3, 5
{ "pile_set_name": "DM Mathematics" }
- g. Is g != z? True Let d = -117.147 - -0.147. Let y = -110.03 - d. Let o = -7 + y. Are o and 0 unequal? True Let y be 12 - 10 - (-1 - 5). Which is smaller: 0.04 or y? 0.04 Let y = -442 - -1313/3. Which is smaller: 5 or y? y Suppose -2*f - 3*f = 3*c - 25, 4*f = c + 20. Let z = 11/115 - 1249/14260. Which is greater: c or z? z Suppose 0 = 4*f + 4*t - 454852, 0*f + 3*t = -2*f + 227423. Let o = 792850/7 - f. Let b = o + 451. Is b less than or equal to -1? False Let k = 10 - 4. Let j be 8/k*3 - -3. Suppose -j + 3 = 2*h. Are h and -2 non-equal? False Let x = 18 + -16. Let z(g) = -g**2 + g + 2. Let d be z(x). Let l(t) = -t**3 - 11*t**2 - 10*t - 4. Let c be l(-10). Which is smaller: c or d? c Suppose -151 = 42*j - 25. Is -3 >= j? True Let z = -3 - -5. Let p be 3 - 2*354/16. Let s = p - -81/2. Which is greater: s or z? z Suppose -v + 451 = 2*f, -3*f = v + 3*v - 669. Does f = 225? False Let o = -425081/14 + 30385. Let w = o + -22. Is 1 <= w? False Let t(s) = -s**3 - s - 1. Let l(q) = q**3 - 12*q**2 + 13*q - 23. Let j be l(11). Let d be t(j). Is d smaller than 16? True Let z be (-126)/154 - (-4)/(-22). Suppose 5*q + 17 = w, 5*w + 0*q = -q + 7. Suppose 5 = -3*h - w*h. Are z and h non-equal? False Let k(v) = v**2 + 8*v - 9. Let m be k(-8). Let j be 12*(4 + 39/m). Is j > -6? True Let n = -0.03 + -5.97. Let x = n + 6. Let b = 0.09 + -4.09. Does x = b? False Let g = 38 + -35. Let t be (g + (1 - 5))*7. Is t <= 1? True Suppose -2*o + 7 = 3*q - 4, 16 = o + 5*q. Which is bigger: -2/185 or o? o Suppose p + 0*u = -2*u + 5, -u = -5*p + 3. Suppose -4*x - 106 = -12*a + 13*a, -50 = 2*x + a. Which is bigger: x or p? p Let c(q) = -q - 11. Let t be c(6). Let f be ((-119)/t)/(1/(-18)). Let z be f/30 - 8/(-2). Is z greater than or equal to 0? False Let k(g) = 2*g**2 - 1. Let c(t) be the first derivative of t**3/3 + 6*t**2 - 14*t + 1. Let i be c(-13). Let f be k(i). Which is greater: f or 9/5? 9/5 Let b = 394 + -393.8. Let i = 9 - -3. Are i and b non-equal? True Let f(t) = 2*t + 34. Let b be f(-7). Is b at least 75/4? True Let z(c) = 0*c - 106 + 96 + 5*c. Let k be z(4). Let r be k/(-3)*6/(-28). Which is smaller: r or 2? r Let z = -2168/55 + 198/5. Which is smaller: z or -4? -4 Let z = 22 + -25. Let w be (75/(-5) - -2) + z. Is -15 less than or equal to w? False Let v(l) = -20*l**2 + 5*l + 6. Let z be v(6). Let k(d) = -d**2 - 12*d + 4. Let c be k(-12). Let h be 99/z - (-1)/c. Is h smaller than -1? False Let i be -5 + 108/6 - 5. Suppose i = 3*r + 3*q - 1, 3*r + 5*q = 17. Let n = -1/71 - 64/497. Is n >= r? True Let n = 0 - -1. Let o be (-3)/(0 + n) - -4. Suppose -i = 5*i. Is i not equal to o? True Let a be 0 + 0 - (19 - 20). Suppose i = 5*v + 2 - 15, -4*i - v = -11. Let j be (-384)/(-188) - 1*i. Is a at least as big as j? True Let c = -1268 - -1177.7. Let m = c + 92. Do m and 0.2 have the same value? False Suppose 0 = 2*s - 4 - 0. Suppose -2*l = s*t + 3*t + 16, 4*l = 5*t + 28. Let a(k) = -k - 6. Let c be a(-7). Is c less than l? True Let f = -1765/4 - -444. Is f bigger than 2? True Let u be 8/2*(-2)/4. Let d = -2.5875 + 0.5875. Is u > d? False Let g(x) = x**2 + 42*x + 174. Let f be g(-36). Are -7 and f equal? False Suppose m - 6 = -4. Suppose -m*q = q + 54. Let u be (-2)/q + 0/4. Do u and 1 have different values? True Let a = 350 + -335. Which is greater: 4 or a? a Suppose 4*s - 20 = 5*i, 0*i = 4*s - 2*i - 8. Suppose s = v + 3*v. Suppose v = -3*m + 18 - 3. Which is smaller: m or 11/2? m Let p(r) = r**2 + 32*r + 197. Let q be p(-9). Is q at most -98/11? True Let v = 1005 - 1004. Which is smaller: 171 or v? v Let p(r) = -r**2 - 11*r + 22. Let t be p(-10). Suppose -4*q = 4*o + 44, 4*o + q + t = -0*o. Which is smaller: o or -42/5? -42/5 Let b(i) = 3*i**2 - 18*i - 20. Let p be b(7). Which is bigger: p or -1/938? p Let k(p) = p**2 + 13*p + 34. Let l be k(-10). Suppose -3*v = -c - 25, -l*c = -4*v - 0*v + 68. Is -6 smaller than c? False Let f = -3543 + 3578. Suppose 3*w - 66 = 42. Is f != w? True Let s = -0.928 + -0.012. Let b = 0.11 - s. Let t = -0.05 + b. Is t greater than -9? True Let l(p) = -14*p - 165. Let t be l(-15). Is t less than 45? False Let n = 9168 + -5984. Let a = n - 15866/5. Let h = a - 152/15. Which is smaller: h or -1? -1 Let s be -1 + 0 + 33/(-3). Suppose -24*y - 35 - 253 = 0. Is s >= y? True Suppose 2*v + 19 = 4*w + 31, 0 = w - v + 5. Let q = -137/3 - -228/5. Which is greater: w or q? q Let n = 104 + -212. Let b be (n/(-16))/9*-4*1. Which is smaller: b or 6? b Let y be 92/6 - 1232/77. Let v = 4 - 3. Suppose -10 = w + 2*s, s + v + 4 = 4*w. Which is bigger: w or y? w Let h(o) = 3*o**3 + 4*o**2 - 8*o - 3. Let p(q) = -q**3 + q + 1. Let r(t) = -h(t) - 5*p(t). Let i be r(2). Let n be i/2 + (-4 - -1). Which is smaller: 1/35 or n? n Let b be -4 - (2 + (-2 + 4)*-9). Let w = -4/347 + 12157/1041. Let k = b - w. Does -2/9 = k? False Let i = 0.1248 - 26.1248. Is i at least as big as 12? False Let b = 5.604 - 0.624. Let x = -0.02 - b. Let y be 2/(1 + 0 + 4). Which is smaller: y or x? x Let y = 22 - -129. Let j = -150 + y. Which is greater: j or -14? j Let o(t) = t - 1. Let g(i) = 5*i + 2. Let p(h) = -g(h) - 5*o(h). Let f be p(-1). Which is smaller: f or 11? 11 Suppose -v = -4*p - 1, -2*v = 3*p - 0*v + 9. Let h = -8974/33 + 272. Which is greater: h or p? h Let m = 1756 - 1757. Let d be (-2)/1 + 1 + -1. Which is bigger: d or m? m Suppose -4*c + 0*c + 32 = 0. Let a = 45 + -38. Is a equal to c? False Let u(q) = -q**2 - 12*q + 15. Let v be u(-12). Suppose -v = -5*h - 0. Suppose -h*z - 10 = 17. Is z != -8? True Let c = 22.38 + 0.62. Let r = c - 22. Is -2/5 <= r? True Suppose 0 = k - 6*k + 15. Let u be k + -3 + (-142)/(-35). Let a = 21/5 - u. Which is greater: a or 0? a Let z(x) = -4 + x + 0*x + 11. Let i be z(-11). Let d be (-12)/27*6/i. Do 2 and d have different values? True Let v be ((-6)/6)/((-168)/(-57) - 3). Which is smaller: v or 2/7? 2/7 Let f(d) = d**3 - d**2 - 2*d + 1. Let v be f(3). Suppose -4*u - v = 19. Let a be 148/6 - u/(-12). Which is greater: 25 or a? 25 Suppose -s + 11 = -0*x - 3*x, 0 = 3*s + 4*x - 20. Let k = -29 - -34. Suppose k*b - 72 = -37. Which is bigger: b or s? s Let g(p) = 2*p**2 + 12*p + 43. Let n be g(-9). Which is smaller: 98 or n? n Let l be (-164)/20 - (2 + 6/(-5)). Let h = l + 8. Are h and 5 equal? False Suppose -33*p - 56 = -5*p. Is p equal to -2? True Let m = 0 + -0.2. Let g = -294 - -293.93. Are g and m non-equal? True Let p = 15 + -13. Let d be -1 + (9 + -3)/p. Suppose -4*o + 2*o - d*a = 6, -5*a = -5*o + 35. Is 2 bigger than o? False Let z be 20/(-6)*9/(-5). Suppose 2*a = 2*i - 14 - z, 5*a + 58 = i. Let r be (2/33)/(8/a). Which is bigger: -1 or r? r Let c = 365.9 + -249.9. Does c = 0? False Suppose -29 = g + 4*v - 5, 0 = 4*g + 3*v + 57. Let k be (-5)/g - 5/(-20). Let z = 0.8 - -5.2. Is k <= z? True Suppose -12 = 3*c + 9. Let q = c - -3. Let a = -42 + 41. Which is greater: a or q? a Let a be (-26)/(-168)*12/(-27). Let v = a - 2/27. Let q be (-7)/9 + (-7)/(441/14). Which is bigger: v or q? v Let q be 25 - (1 + (0 - 5)). Suppose -2*t - 2*n = -88, 217 = 4*t + n + q. Is 48 greater than or equal to t? True Let k be ((-4)/(-10))/((-80)/(-525)). Let x = k - 27/8. Let u(j) = 2*j - 7. Let m be u(3). Is m < x? True Let l be (15 + 0)*(-2)/(-8). Let h(z) = -z**2 + 8*z + 64. Let a be h(-12). Let c = a - -180. Which is greater: l or c? c Let f = -3 + 2. Let n = f + 6. Let x = 5.1 - n. Do 0.04 and x have different values? True Suppose 2*v - 345 = 117. Suppose 8 = k + k, -3*l + 3*k = -v. Which is greater: 82 or l? 82 Let z be 3/((-9)/6)*(-10)/(-4). Let i be z/9*(-36)/(-24). Is -2/3 >= i? True Suppose 17*u = 1027 + 367. Let f(z) = -z**3 - 14*z**2 - 20*z - 10. Let o be f(-13). Which is greater: u or o? u Let i = 13/68 - -1/17. Let p = -176.53 + 1.53. Let q = p - -174.9. Which is smaller: i or q? q Let f = 1107 + -750. Which is smaller: f or 358? f Let d be 2/(-9) + 22/342. Let c = 59922 - 3415639/57. Let y = d - c. Is y at least as big as 0? True Suppose 8*j = -2168 - 456. Which is smaller: j or -329? -329 Let k = 11.4 + -48.5. Let f = 37 + k. Let g be 1 - (8/(-5) + 1). Which is smaller: g or f? f Let z = 0.01 + 0.29. Let b = 11.7 + z. Let x = -3 + b. Which is bigger: x or -1? x Suppose 6*i - 60 = i. Let z = i + -9. Suppose c + 2*h - 1 = 4*h, 5*c = -z*h - 8. Which
{ "pile_set_name": "DM Mathematics" }
+ 184 = 4*a. Does 14 divide a? False Let c(d) be the third derivative of d**5/60 - d**3/2 - d**2. Let u(y) = -2*y**2 - 32*y - 3. Let b be u(-16). Does 2 divide c(b)? True Let f(d) = d + 3*d - 1 + 7*d**2 - 9*d**2 + d**3. Let c be f(3). Let w = c - -6. Is 13 a factor of w? True Is 12 a factor of 3861/65 - -1 - (-2)/(-5)? True Let d be 6*-2*((-28)/3)/(-4). Let u = d - -108. Is u a multiple of 16? True Let h(l) = 25*l + 6. Let i be h(6). Let u = 294 - i. Is u a multiple of 23? True Let h = 12 + -6. Is (-1 - h/(-15))*-165 a multiple of 8? False Suppose -4*d + 34 = 2*z, -82 = -2*z - 2*z - d. Let i(w) = w**3 + 19*w**2 + w + 31. Let r be i(-19). Let o = z - r. Is 8 a factor of o? False Let o be (-56)/(-14)*(-5)/(-4). Suppose 449 = 4*j + 3*n - 403, -o*j = -5*n - 1030. Is j a multiple of 35? True Suppose -13*k - 25*k + 30590 = 0. Is 8 a factor of k? False Let x = -2569 + 2603. Is 22 a factor of x? False Suppose -2*z - 15 = -7*z. Suppose -4*w = 4*b - 52, -z*w - 22 = -2*b - 4*w. Does 5 divide b? False Let j = -1902 - -3366. Does 61 divide j? True Let z(r) = -435*r - 58. Is z(-4) a multiple of 29? True Suppose -3*x - 5*h - 368 = 0, -4*x - 2*h = -3*h + 460. Let i = x + 47. Let o = -18 - i. Does 17 divide o? True Let s be 4 - (3 - 3/1). Suppose -g - 27 = -j + 4*j, s*g - 9 = j. Let u = j + 63. Is u a multiple of 17? False Suppose -953 + 41 = -2*y + 4*s, 0 = -2*y - s + 922. Is 11 a factor of y? False Suppose 7*z = 2*z - 30. Does 2 divide z/18 + (20/(-3))/(-2)? False Let o(j) = 43*j + 263. Does 10 divide o(0)? False Suppose 8*y = 6*y. Suppose y*u = -3*u. Suppose 2*t + i - 6*i - 54 = u, 2*t + 5*i = 94. Does 26 divide t? False Let c(f) = -446*f**3. Let x be c(-1). Does 16 divide x/4 + (-2)/(-4)? True Let h(z) = -z**3 + 38. Let q be h(0). Suppose -g + q + 0 = 0. Is g a multiple of 4? False Let z be (-16)/(-40) - (-2)/(-5) - -3. Suppose -2*g = 2*b - 10, 0 = -5*g - 0*g - 20. Suppose -b*m + z*m = -60. Is 7 a factor of m? False Suppose 3*x + 5*q = 4*x - 132, 4*x + 5*q - 453 = 0. Let p = x - 69. Does 10 divide p? False Let v(i) = -i + 23. Let z be v(0). Let s = -13 + z. Does 4 divide s? False Let f be 2/8 + 2961/28. Suppose 0 = -4*l - 2*v + f, 2*l - 30 = -4*v + 26. Let m = 62 - l. Is 13 a factor of m? False Let q = -87 - -119. Suppose -2*t + 0*t = -q. Is 11 a factor of t? False Suppose -2*f - 11 = -5, -8 = d + f. Let l be 2/(-4) - d/2. Does 17 divide -4 - (3 - l*12)? True Suppose 391 = -4*p + 4*m - 361, -404 = 2*p + 5*m. Let i be -30*(p/(-20))/(-3). Suppose -1 = -c - u + 87, -i = -c + 3*u. Is 24 a factor of c? False Let h = 3673 + -1993. Does 40 divide h? True Let s be 349 + 7 + -2 + -1. Let n = s + -221. Is n a multiple of 33? True Let s(l) = -2*l**2 - 18*l + 20. Let c be s(-12). Let k = c - -68. Is 4 a factor of k? True Suppose 51 = 5*z + 4*c - 8*c, -2*c - 53 = -5*z. Suppose -z*k = -8*k - 33. Is k a multiple of 11? True Suppose -f + 4*h - 24 = 0, 5*f + 4*h + 63 = 5*h. Let d = -7 - f. Is d a multiple of 3? False Let z(h) = 3*h**2 - 171*h + 36. Is z(72) a multiple of 84? True Let n(s) = -799*s + 15. Let u be n(-6). Is 11 a factor of (-2)/5 + u/35? False Let f = -5 - -8. Let j = -6 + f. Is 7/(j - (-76)/24) a multiple of 10? False Let m = 1095 + -894. Does 57 divide m? False Let i = -914 - -2244. Is 14 a factor of i? True Let g(k) = 2*k + 32. Let l be g(0). Suppose 28*f - l*f + 220 = 0. Does 36 divide f? False Suppose 0 = p + 3*h - 70, -2*p + 0*h - 4*h = -130. Let l(a) = a**3 - 7*a**2 + 9*a - 12. Let r be l(6). Suppose -p - r = -f. Is f a multiple of 23? False Let i(l) = l**2 + 2*l - 5. Let r be i(-4). Let m = r - -1. Suppose -m*h + 50 = -10. Is 7 a factor of h? False Let r = 20 + -24. Is 3 a factor of (-1*32)/(-2) + r? True Let w be (6/4 - 0)/(1/2). Does 24 divide (1 + w)*(-300)/(-48)? False Let y = 4 + -1. Suppose y*x - 37 = -5*d, 0 = -0*d - d + 5. Is 47 - (32/4)/x a multiple of 22? False Suppose 4*x - 1006 = -5*k, -5*k + 430 = 2*x - 78. Suppose 5*r = 15, -3*a + r = -0*r - x. Is a a multiple of 14? True Let r(p) = 3*p**3 - p**2 - 4*p - 2. Let x be r(-1). Does 13 divide 96/60*5/x + 121? True Let r(m) = 10*m**2 + 2*m + 26. Is 22 a factor of r(8)? True Let m(j) = -j. Let i(d) = -5*d - 12. Let s(n) = -i(n) + 6*m(n). Let f be s(8). Suppose 4*h + 2*b - 3*b = 79, f*h + b - 81 = 0. Does 10 divide h? True Suppose 5*d - 107 = -5*p + 4043, -p + 3*d + 826 = 0. Does 12 divide p? False Let a = -259 - -383. Does 18 divide (-16 + 1)*(-1 - a/20)? True Is -51 + 55 - -35*79 a multiple of 13? True Suppose 10108 = 51*d - 37*d. Is d a multiple of 30? False Let j(d) = -3*d + 37. Let o be j(15). Let b(p) = p**3 + 9*p**2 + 8*p + 14. Is 8 a factor of b(o)? False Let r = 316 + -282. Does 10 divide r? False Suppose -3*c - 5*a + 30 = 0, 3*c - 3*a = -0*c + 6. Suppose 2*x - 17 + c = 0. Let l(j) = 4*j - 13. Is l(x) a multiple of 2? False Let r = -775 - -1384. Is r a multiple of 21? True Let s(z) = -11*z + 3*z + 3*z + 2*z + 21. Does 11 divide s(-7)? False Let f(n) = 8*n + 64. Let y(w) = 3*w + 21. Let b(a) = 4*f(a) - 11*y(a). Does 8 divide b(9)? True Let o = 254 - -495. Is o a multiple of 7? True Let w(t) = 182*t**2 - 1. Let m be w(1). Suppose -2*z = -165 - m. Does 34 divide z? False Let m(l) = l**2 + 11*l + 21. Let x be m(-9). Suppose s = -x*r + 14, 2 = -0*r - 2*r. Is s even? False Suppose -i + 21 = 2*i - 3*w, 5*w = -4*i + 1. Suppose 4*k - 41 = -q, -3*k = 2*q - i*k - 82. Is q a multiple of 12? False Let v(r) = 48*r - 50. Let w be v(5). Suppose s = 2*s - w. Is 14 a factor of s? False Is (-285 + 3)*6/(-4) a multiple of 32? False Suppose 3*y = 5*y + 4. Let o be ((-32)/(-40))/(y/25). Is ((-15)/o)/((-1)/(-58)) a multiple of 29? True Let z(f) = 13 - 2 + 13 + 3 + 20*f. Is z(7) a multiple of 17? False Suppose 3*c - 6 - 6 = 0. Suppose 50 = 5*s - c*y - 2, s - 14 = -y. Is 6 a factor of s? True Suppose -2*t + c + 4*c + 51 = 0, 27 = t - 2*c. Suppose 20 - 20 = 6*v. Suppose v*r + 2*d + 47 = 3*r, 5*d + t = r. Is r a multiple of 10? False Suppose 4*h = k - 3*k + 398, -95 = -h + 4*k. Let n be (1 + h)*(-10)/(-4). Suppose -8*c = -3*c - n. Does 15 divide c? False Let i(x) = 5*x**3 + x**2 - 14*x + 6. Let t(n) = -2*n**3 + 5*n - 2. Let r(m) = 3*i(m) + 8*t(m). Let l be r(7). Is 8 a factor of (-15)/2*l/65? True Let v = -2 + 3. Let h be 42 - ((2 - v) + 0). Suppose -3*f + 69 = -u, -4*f - u + h = -2*f. Is f a multiple of 6? False Let c(p) = 48*p - 156. Let a be c(3). Let k(t) = t**2 - 5*t + 5. Let b be k(6). Let i = b - a. Does 17 divide i? False Let r(b) = b**3 + 21*b**2 - 24*b + 23. Let m(w) = 6*w**3 + 106*w**2 - 121*w + 116. Let h(k) = 2*m(k) - 11*r(k). Does 13 divide h(18)? False Let j = 24 - 39. Let q = 417 - 379. Let s = q + j. Is 6 a factor of s? False Let f(x) = -166*x**3 + 4*x**2 - 4*x - 8. Is 3 a factor of f(-1)? False Let i(o) = 5*o + 22. Let u be i(-5). Is 4 a factor of ((45/(-2))/u)/((-3)/(-8))? True Suppose j - 1 = 19. Suppose 5*p - p - j = 0. Suppose -3*n + 264 = -4*x, 0*x - p*x + 88 = n. Does 22 divide n? True Let a(g) = 2*g**2 + 3*g - 6. Let q be a(5). Let b = q + 4. Is 11 a factor of b? False Suppose -4*l + 1354 = -1058. Suppose 4*h = 3*z - 228 + l, 3*h = -4*z + 275. Suppose h = 4*i - 63. Is 12 a factor of i? False Let v be (-99)/(-45) - (-1)/(-5). Suppose 5*y - v*i - 70 = 0, 3*y + 0*y - 3*i - 33 = 0. Is y a multiple of 16? True Let c(v) = v**2 + v + 2. Let k be c(0). Is -11*(k - 1)/(-1) a multiple of 10? False Let n(l) be the first derivative of -l**5/20 - 4*l**4/3 - 2*l**3/3 + 6*l**2 + 14*l + 9. Let i(u) be the first derivative of n(u). Is 21 a factor of i(-16)? False Let b = -60 + 63. Is 3 a factor of (b - 20/5) + 8? False Suppose 54 = -5*i - 4*u, -3*u - 36 = 2*i - 5*u. Let z = 20 + i. Does 4 divide z? False Let l = -32 - -35. Suppose -3*g = -w + 66, g = -4*w + l*w + 50. Is 9 a factor of w? True Suppose -2*q - 7 + 28 = 3*p, 5*p + 9 = 4*q. Let c(u) = 3*u**2 + 5*u - 14. Let g(k) = -7*k**2 - 10*k + 28. Let y(m) = -9*c(m) - 4*g(m). Is y(q) a multiple of 13? False Let l(z) be the second derivative of -2*z + 0 - 17/6*z**3 - z**2. Does 16 divide l(-2)? True Suppose 4*s = -3*j + 26, 3*j - 8 = -j. Suppose -m - s*g + 49 = -44, 5*g = m - 143. Suppose 0 = 3*t - 5*l - 145, -4*l = -2*t - 6*l + m. Does 17 divide t? False Let w = 282 + 12. Let n be 6/15 - w/(-15). Suppose -3*g = -g - n. Is 10 a factor of g? True Suppos
{ "pile_set_name": "DM Mathematics" }
+ 30 Let k be ((-2)/4)/((-39)/26). Let y(q) be the first derivative of 1/2*q**2 + k*q**3 + 0*q - 2. Find the second derivative of y(a) wrt a. 2 Suppose 5*s = 3*f + 4, 5*f + 3*s - 1 = 15. Let m be (-4)/5*(-15)/f. Find the third derivative of 3*n**6 - 10*n**6 - 2*n**2 + 4*n**m wrt n. -360*n**3 Let u = -58 + 60. Let d(i) be the first derivative of -2 + 4/5*i**5 + u*i**2 + 0*i + 0*i**3 + 0*i**4. What is the second derivative of d(m) wrt m? 48*m**2 Let o(c) be the second derivative of 2*c**4 - 4*c**3 - 11*c. Find the second derivative of o(l) wrt l. 48 Let x(k) be the second derivative of -11*k**3/2 + 3*k**2 - 3*k. Differentiate x(p) with respect to p. -33 Let y(k) = 11*k**5 + 3*k**4 - 5*k**2 + 3*k + 3. Let a(t) = t**4 + t + 1. Let r(j) = 3*a(j) - y(j). Find the third derivative of r(x) wrt x. -660*x**2 Suppose -5 - 6 = 2*f - 3*r, -2*r = 3*f - 16. Differentiate -p**f + 4 - 1 + 8*p**2 with respect to p. 14*p Suppose 4*y - 8*y = 0. Let a(q) be the first derivative of -1 + 0*q**3 - 1/2*q**4 + 2*q + y*q**2. What is the first derivative of a(g) wrt g? -6*g**2 Let d(p) = -p**2. Let a(s) = -6*s**2 + 12. Let v(c) = a(c) - 4*d(c). Find the first derivative of v(l) wrt l. -4*l Let x(g) be the third derivative of -1/2*g**3 + 1/210*g**7 + 0*g**5 + 0 + 4*g**2 + 0*g + 0*g**4 + 0*g**6. What is the first derivative of x(q) wrt q? 4*q**3 Let w(m) = -m + 3. Let c be w(5). Let i = c + 4. Find the first derivative of n**3 - 1 + 10*n**2 - 10*n**i wrt n. 3*n**2 Let v(i) = -1. Let a(o) = 21*o + 13. Let g(h) = a(h) + 2*v(h). Find the first derivative of g(w) wrt w. 21 Let i(u) be the second derivative of 5*u**7/21 - 5*u**4/12 - 16*u. Find the third derivative of i(c) wrt c. 600*c**2 Suppose 0 = 4*d + 2*d. Let g(f) be the third derivative of d*f**5 + 1/120*f**6 + 0*f + 1/3*f**3 + 2*f**2 + 0*f**4 + 0. Find the first derivative of g(o) wrt o. 3*o**2 Let p(o) be the third derivative of -o**6/60 + o**4/2 + 8*o**2. Find the second derivative of p(k) wrt k. -12*k Let c(f) = 17*f**2 - 65*f. Let d(r) = -8*r**2 + 32*r. Let w(o) = -3*c(o) - 5*d(o). What is the second derivative of w(k) wrt k? -22 Let k(h) = -10*h**4 - h**2 - 5*h. Let t(w) = 10*w**4 + w**2 + 4*w. Let x(y) = -4*k(y) - 5*t(y). What is the third derivative of x(j) wrt j? -240*j Suppose 6*l = l. Suppose l = -g + 6*g - 20. Find the second derivative of 0*j - 3*j**g - j - j wrt j. -36*j**2 Let z = -3 - -6. What is the third derivative of -v**4 - z*v**2 + 2*v**2 - 4*v**4 wrt v? -120*v Suppose 5*f + 37 - 7 = 2*l, 3*f + 3*l - 3 = 0. Let d = f + 8. Find the third derivative of -5*x**2 + 3*x**2 + 2*x**d - 3*x**4 wrt x. -24*x Let z = -46 - -48. Suppose 3*w = 2*t + 57, t - 2*t + 108 = 5*w. What is the third derivative of 19*m**2 - w*m**z - 3*m**5 - m**5 wrt m? -240*m**2 Let o(p) = -p**3 - 4*p**2 + 5*p + 5. Let i be o(-5). What is the third derivative of -i*s**2 - 2*s**2 - s**4 + 3*s**2 wrt s? -24*s Suppose 5*u - 28 = -c, 16 = -3*c + 7*u - 2*u. Suppose c = 3*l - 9. Differentiate -2 - 1 + x**4 + 1 + 0*x**l wrt x. 4*x**3 Let r = -17 + 21. Let s(c) be the first derivative of -c + 1/2*c**r + 0*c**3 + 0*c**2 - 1. What is the first derivative of s(o) wrt o? 6*o**2 Let f(d) be the second derivative of 0 + 3*d + 1/2*d**2 + d**3. Let z(q) = 17*q + 3. Let r(i) = -11*f(i) + 4*z(i). Differentiate r(y) with respect to y. 2 Let j(b) = 18*b**3 - 5*b**2 - b + 5. Let c(h) = -17*h**3 + 4*h**2 + 2*h - 4. Let x(f) = -5*c(f) - 4*j(f). What is the second derivative of x(i) wrt i? 78*i What is the derivative of 0 + 12*p**4 - 8 - 7*p**4 wrt p? 20*p**3 Let h(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i - 1/70*i**7 + 0 + 1/24*i**4 + 0*i**6 - 5*i**2. Find the second derivative of h(l) wrt l. -36*l**2 Let h(v) be the third derivative of 0*v - 1/60*v**5 + 2*v**2 + 0 + 0*v**4 - 1/6*v**3. What is the first derivative of h(b) wrt b? -2*b Let q(s) be the third derivative of 0*s + 4/3*s**3 + 0*s**5 - s**2 - 1/24*s**6 + 0*s**4 + 0. Differentiate q(b) wrt b. -15*b**2 Let q(u) be the second derivative of -2*u**6/15 - u**5/10 - 19*u**3/2 + 20*u + 2. Find the second derivative of q(d) wrt d. -48*d**2 - 12*d Let a = -3 - -5. Suppose -3*g - a*g = -5*j + 10, 4*j - 10 = 3*g. Find the second derivative of -2*r**4 + 2*r - 2*r**4 + r**j wrt r. -36*r**2 Let r be (0 + -2)/(1/(-2)). Let a(h) = -h**3 + 3*h**2 + 6*h - 5. Let t be a(r). Find the third derivative of -5 + 2*o**3 - t*o**2 + 5 wrt o. 12 Let m(v) be the third derivative of v**7/42 - 17*v**4/12 + 7*v**2. What is the second derivative of m(x) wrt x? 60*x**2 Let p = 0 + 4. Let v(o) = -5*o**3 + 4*o**2 - 4*o - 6. Let n(c) = -4*c**3 + 3*c**2 - 3*c - 6. Let k(a) = p*n(a) - 3*v(a). What is the derivative of k(d) wrt d? -3*d**2 Find the third derivative of -56*o**4 + 72*o**4 + 17*o**2 - 40*o**2 wrt o. 384*o Let r(d) = 3*d - 5. Let q be r(4). Let m = -1 + q. Find the third derivative of -w**2 - 3*w**6 + 2*w**2 + 5*w**m wrt w. 240*w**3 Let u(z) = -19*z**2 - 31*z. Let i(a) = 10*a**2 + 15*a. Let w(g) = 9*i(g) + 4*u(g). What is the second derivative of w(l) wrt l? 28 Let p(u) = 4*u**2 - 5*u. Let j(m) = -12*m**2 + 16*m. Let g(t) = 4*j(t) + 11*p(t). What is the second derivative of g(s) wrt s? -8 Suppose 5*o + 0*c - 18 = 4*c, c + 21 = 4*o. Find the third derivative of 4*n**o - 5*n**6 + 3*n**2 - 2*n**6 wrt n. -360*n**3 Let k(l) be the second derivative of -4*l**5/5 + 4*l**2 - 4*l. Differentiate k(s) wrt s. -48*s**2 Let z(i) = -i**3 - 9*i**2 + 7. Let v(p) = p**3 + 5*p**2 - 4. Let t be (11 - 5)/((-6)/(-4)). Let q(m) = t*z(m) + 7*v(m). Find the third derivative of q(k) wrt k. 18 Let j = -2 + 3. Suppose 4*g - 2 - 6 = -2*s, -3*g = 5*s + j. Find the second derivative of 4*m**3 - 6*m**g + 4*m**3 - 3*m - 3*m**3 wrt m. -6*m Suppose 2*s - 4 = 2*l, 0 = -2*l - l + 2*s - 2. Find the third derivative of -3*p**6 + p**l - p**2 + 4*p**2 + 0*p**6 wrt p. -360*p**3 Let s be 6/(1 + -4) + 5. Differentiate -3 + s*q**3 - q**3 + 0*q**3 wrt q. 6*q**2 Suppose 0*a - s = -2*a + 6, 0 = 2*a - 3*s - 6. Differentiate -2*o**4 + 4 + a - 4 - 5 with respect to o. -8*o**3 Suppose 4*u = 3*s - 13 + 36, 10 = -2*s. Find the third derivative of -5*r**2 + 14*r**4 + 3*r**u - 11*r**4 - 4*r**4 wrt r. -24*r Let o(x) = x + 1. Let u(c) = c - 8. Let w(g) = o(g) + u(g). Let y be w(6). What is the second derivative of r**5 - 3*r**y + 2*r - 3*r wrt r? -40*r**3 Let j(w) be the second derivative of w**5/5 - 2*w**2 - 26*w. What is the derivative of j(v) wrt v? 12*v**2 What is the third derivative of 21*l**5 + 11*l**2 - 5*l**2 + 12*l**2 wrt l? 1260*l**2 Let r(y) be the second derivative of -8*y**4/3 - 5*y**3 - 33*y. What is the second derivative of r(g) wrt g? -64 Find the third derivative of 14*x**4 + 26*x**2 - 62 + 19*x**2 + 62 wrt x. 336*x Let h(r) = -87*r**4 + 12*r**3 + 30*r**2. Let n(f) = -35*f**4 + 5*f**3 + 12*f**2. Let t(y) = 5*h(y) - 12*n(y). What is the third derivative of t(m) wrt m? -360*m Let z(h) be the third derivative of 0 + 3*h**2 + 0*h + 1/40*h**6 + 0*h**5 - 1/3*h**3 + 0*h**4. Differentiate z(w) with respect to w. 9*w**2 Suppose -p = 3*p. Suppose -3*k + 0*k = p. Differentiate k*l - 2 + 0 + l wrt l. 1 Let b(v) = 8*v**3 + 16*v**2 - 4. Let g(y) = 9*y**3 + 17*y**2 - 5. Let f(m) = 5*b(m) - 4*g(m). What is the third derivative of f(j) wrt j? 24 Let n = 49/2 - 24. Let v(a) be the first derivative of 2/3*a**3 + 0*a**2 + n*a**4 + 0*a + 2. What is the third derivative of v(p) wrt p? 12 Let m(o) be the first derivative of -26*o**3/3 - 3*o**2/2 - 6*o - 38. Find the second derivative of m(b) wrt b. -52 What is the derivative of -6 + 5*m**2 - 5 + 4*m**2 - 3*m**2 wrt m? 12*m Let p = -2 + 8. Suppose p = m + m. Let y(q) = q**3 + q + 1. Let f(i) = i**4 - 3*i**3 - 3*i - 5. Let n(j) = m*y(j) + f(j). What is the derivative of n(d) wrt d? 4*d**3 Find the third derivative of -4*x**3 + 5*x**2 - 4*x**3 - x**3 wrt x. -54 Let a(q) = -6*q**2 + 22*q - 11. Let o(t) = 2*t**2 - 7*t + 4. Let v(w) = -4*a(w) - 11*o(w). Find the second derivative of v(y) wrt y. 4 Find the third derivative of 3*b**3 + 3*b**3 + 0*b**3 - 7*b**3 + 4*b**2 wrt b. -6 Let l(x) be the third derivative of -x**8/84 - 5*x**4/24 + x**3/6 - x**2 + 8*x. What is the second derivative of l(r) wrt r? -80*r**3 Find the second derivative of -6*o**3 + 16*o**3 - o - 7*o**3 wrt o. 18*o What is the third derivative of 19*a**2 - 4*a**2 - 16
{ "pile_set_name": "DM Mathematics" }
t y be (-4)/(-18) + 4/36. Which is the closest to -1? (a) 0.4 (b) -2/3 (c) y b Let u = 26 - 26.4. What is the closest to -2 in -2/3, 4, u? -2/3 Let r be 402/(-570) + (-3)/(-5). Which is the closest to 3? (a) r (b) 4/7 (c) 5/4 c Let h = -0.4 + 0.7. Let s = -4.5 - -0.5. Let x = -6 - s. Which is the closest to x? (a) 4 (b) h (c) 0.5 b Let p be (-1)/(-3) - (-12)/(-9). Let g = 0.1 + -0.6. Let t = -10.1 + 8.1. Which is the closest to p? (a) g (b) 0.1 (c) t a Let i = 4.5 - -1.5. Let v = i + -1. Let n = -0.3 + 0.2. What is the closest to -0.1 in v, n, 2/7? n Let p be ((-1)/(-3))/(4/(-6)). Let c be 8/(-10)*5/(-2). Suppose 4*s = c*s. What is the closest to s in 2/11, 3, p? 2/11 Let s be (4/(-5))/((-17)/5 + 4). Which is the nearest to -1? (a) 0.3 (b) s (c) 1/3 b Let a = -2.3 + 2.3. Let d = -287 - -2012/7. What is the closest to -2/5 in d, a, -0.1? -0.1 Let h = -0.14 - -0.14. Which is the closest to h? (a) -0.1 (b) -1/7 (c) 0 c Let n = -1.3 - -1.5. Which is the nearest to 2/5? (a) -3 (b) n (c) -4 b Let c = -0.52 + 0.22. What is the nearest to -0.1 in -0.07, 4, c? -0.07 Let h = 0.118 + 4.882. Which is the closest to -1? (a) -0.5 (b) 1 (c) h a Let k = -0.22 + -0.08. Let y = -0.7 + k. Which is the closest to 1? (a) -2 (b) -0.4 (c) y b Let z = 4.1 + -4.4. Suppose -20 = -5*k + b, 4*k - 4*b + 25 = 5*k. What is the nearest to 2/7 in 0.1, z, k? 0.1 Let g = 114 - 119. What is the nearest to 0.4 in -3, g, 3? 3 Let n be 78/(-20) - (-2)/(-3). Let c = -14/3 - n. What is the nearest to -1 in -4, 4, c? c Let y be 1 + (-21)/(-19) + -2. Let i = 145 - 147. Which is the closest to i? (a) y (b) 4 (c) -4 c Let g be 1 - (-7 + 161/21). Let z = -0.1 - 4.9. Which is the nearest to 0? (a) z (b) -3/4 (c) g c Let h = 15.3 - 15. Which is the closest to 1? (a) h (b) 5 (c) -0.1 a Let m = -2/1749 - 5237/8745. Let r = -0.2 + 1.2. Which is the closest to 0.1? (a) m (b) r (c) 3 a Let q = 5 - 10. What is the closest to -2/7 in q, 1/5, -0.3? -0.3 Let j = -0.5 + 0.5. Suppose -2*o - 8 = -6*o. Which is the closest to j? (a) 0.5 (b) 6/11 (c) o a Let z be ((-3)/(-8))/(3 - 3/2). Let x be (1/3)/((-6)/(-4)). What is the nearest to -1 in z, x, 0? 0 Let b = 2 + 0. Let p = 74.8 - 75. What is the nearest to 0 in b, p, -2/3? p Let j = 0.05 + -0.05. Let q = 0.3 - j. What is the closest to 0.1 in -0.5, 1/5, q? 1/5 Let r = 0.3 - 0.9. Let d = 0.4 - r. Which is the nearest to d? (a) -3 (b) 1 (c) 0.2 b Let y(m) be the first derivative of 5*m**3/3 + m**2/2 + m - 2. Let j be y(-1). What is the closest to -0.1 in -2/9, j, -3/7? -2/9 Suppose -3*q + 7 = -2*r + 20, -q - 8 = -r. Let y = r - 7. Let s = -26 + 76/3. What is the nearest to 2 in -0.4, y, s? y Let v = 6 - -5. Let i = 6 - v. Let f = -0.04 - 0.96. Which is the nearest to f? (a) i (b) -0.5 (c) -2/11 b Let r(s) = 9*s - 8*s + s. Let d be r(2). Which is the closest to -2/3? (a) -4 (b) -3/4 (c) d b Let w(l) = -l**3 + 4*l**2 - 3*l - 3. Let p be w(3). Let t = 0.2 + -2.2. Let k = t - -1.7. What is the closest to 0.1 in k, p, 0.4? 0.4 Let r be (-3 + 2)*(-2)/(-7). Let i = 5/26 - -37/78. Let s be (8/(-2)*1)/1. Which is the nearest to i? (a) 2/3 (b) s (c) r a Let x be (-3)/((-36)/15)*33/(-15). What is the nearest to 0.1 in 0.5, x, 1/4? 1/4 Let c = -3 - 2. Let t = -39 + 32.8. Let a = -6 - t. What is the closest to 0.1 in a, 1, c? a Let r = -83/364 - 3/52. Suppose 0 = 254*u - 249*u. Which is the closest to u? (a) 1 (b) -3/7 (c) r c Let t be 0/(-1) + (-1)/(-3). Let g = -43/4 - -11. Which is the closest to 1? (a) g (b) t (c) 4 b Suppose 2105 = -0*t - 5*t. Let w = t + 175. Let z = -2216/9 - w. Which is the closest to 0.1? (a) -2/7 (b) z (c) -1 b Let s(x) be the first derivative of -x**2 - 11*x - 6. Let u be s(-7). Suppose -z - z = 0. Which is the closest to z? (a) 0.5 (b) u (c) 0.4 c Let j = 115 + -119. Which is the closest to -0.1? (a) -0.4 (b) j (c) -3 a Let l be (-2)/(-4) - 21118/22284. Let c = 2/619 + l. Suppose -6*j + j = 0. What is the closest to j in -2, -0.5, c? c Let g = 0.18 - 1.58. Let n = -2.4 - g. Let i be (-4)/(-7) + 4/(-14). Which is the nearest to n? (a) -4/9 (b) -5 (c) i a Let u = 24 + -23.5. Which is the nearest to -0.1? (a) 3/7 (b) u (c) -3/2 a Let f = -3.7 - -4. What is the closest to 1 in f, 3, 0? f Let r = 391 - 390.7. Let p = 0.8 + 0.2. Let v = -5 + 9. What is the nearest to -0.1 in r, p, v? r Let x(c) = c**3 + 15*c**2 - c. Let j be x(-15). Suppose -3*n = -4*d + 35, -2*d + j = -5*n - 4*d. What is the closest to 0 in n, 0.4, -3? 0.4 Let y be -1 + (-3)/(-1) + 2. Let s = 1.81 - 1.31. What is the closest to 2/5 in y, 3, s? s Let k be 2/7 - ((-1)/(-28) + 0). Let x = 3.94 - -0.06. What is the nearest to k in x, 0.5, 0.2? 0.2 Let w be 3*-1*(-56)/(-21). What is the closest to w in -3, 5, 0.2? -3 Let z = -7 - -5. Let l = 2/275 - 568/2475. Which is the closest to 0.1? (a) -5 (b) z (c) l c Let r be 21/14*2/9. Which is the closest to r? (a) 0 (b) 3 (c) 4 a Let p = 1 + 2. Suppose 4*d - 25 = i, 5*d = p*i - 12 + 52. Let x = 42 + -37. Which is the closest to 0.3? (a) -4 (b) x (c) i a Let i(o) be the first derivative of -o**3/3 + 3*o**2 + 3*o + 3. Let p be i(6). Suppose p = 3*h - 0. What is the closest to -1 in 2, h, -2? -2 Let m = 77/3 + -25. Let t = 2.898 + 0.142. Let s = t + -0.04. What is the nearest to m in 0.2, 0.1, s? 0.2 Let y = 2 + -2.3. Let m = 0.06 + 0.24. Which is the closest to y? (a) 2 (b) -4 (c) m c Let y = -313/2685 + -3/179. What is the closest to 1/3 in y, 1, -0.4? y Let i be 4/1 - (-90)/(-24). Which is the nearest to i? (a) 0.2 (b) -4 (c) 3/8 a Let a be -1*(-5)/(10/(-4)). Let w = -0.7 - 1.3. Let h = w + 1.9. What is the nearest to h in -0.1, 1, a? -0.1 Suppose 20 = 6*x - 3*x + v, -5*v = -25. Suppose -4*m - x = m. Let o be 16/10 - (-1 - -3). What is the nearest to 2 in 1, m, o? 1 Let i = 9 - 8. Which is the nearest to i? (a) 2/13 (b) -3/7 (c) -3 a Let z = -0.9 - -1.9. Let o(g) = 4*g. Let y be o(1). Let m be 11/(-3) + 2/(-6). Which is the closest to -1? (a) m (b) y (c) z c Let m = -0.4 + 0.3. Let s = 13 - 11. Let a be 1*-1*(s + 1). What is the nearest to 1 in m, -2, a? m Let u = 1 - 1. Let i be u/6 + 4/26. Let a = 0.3 + -0.2. What is the closest to a in i, -1/3, -0.5? i Let f = 0.18 + 0.02. Let s be (-12)/(-45)*3/2. What is the closest to s in f, 2/7, -5? 2/7 Let q = -260/3 + 86. Let l be 0/(-1) - 4 - -3. Let g = -3.9 + -0.1. What is the nearest to -2/7 in g, q, l? q Let y = -88 + 86. Which is the nearest to 0.1? (a) 0.4 (b) y (c) -3 a Let m = 145 + -138. Which is the closest to 0.1? (a) -5 (b) m (c) 3 c Let v = 12 + -8. Let y = 4.3 - v. Which is the closest to -1? (a) y (b) -0.2 (c) 1/4 b Let i = 32 - 28. Let l = -0.7 + 0.3. What is the nearest to 0 in i, -0.2, l? -0.2 Suppose 0 = 2*s + 2*s. Let g = 0 + -0.06. Let y = g + -0.04. Which is the closest to s? (a) y (b) 5 (c) -0.5 a Let q be 0 - (8/(-28))/1. Let v = 1/570 + -1157/9690. What is the closest to 0 in q, v, -0.1? -0.1 Let v = 0.04 - 0.54. Let x = -0.2 - -0.2. Suppose -s - 2*s + r = 4, -2*s + 4*r - 16 = 0. Which is the nearest to x? (a) -1/3 (b) s (c) v b Let i = -23.5 + 23. Let f = 4 + -9. Which is the closest to -2? (a) i (b) -4 (c) f a Let q = -1.5 + 5.1. Let f = -0.4 - q. Let v = 7 - 47/7. Which is the closest to 0? (a) -0.5 (b) v (c) f b Let r = 17 + -13. What is the closest to 1 in r, -5, -3? r Let z = 38 - 192/5. Which is the nearest to z? (a) -3 (b) -0.1 (c) -5 b Let t be ((-4)/(-70))/((-10)/50). Which is the nearest to -1? (a) -6 (b) t (c) 0.1 b Suppose -34 = -3*q - 2*a + 7*a, -10 = 2*a. Let u be (-5)/(-7) + (2 - q). Let t = -0.1 + -0.4. What is the nearest to u in -1/6, -1/3, t? -1/3 Let d be (16/10)/(12/(-30)). Which is the closest to 0.1? (a) -1 (b) d (c) 5 a Let b = -0.02 + 0.82. Let t = 0.7 - b. What is the closest to t in 5, 0.3, -3? 0.3 Let v = 140.77 + -141. Which is the closest to v? (a) -0.5 (b) 0.2 (c) -4 a Let d = -0.2 - 4.8. Let n be 1 + -3 + 72/42. Which is the nearest to -1/4? (a) n (b) d (c) -1/6 a Suppose -13 = -4*f - 3*w, 3*f + 4*w - 15 = -0*f. Let g = 289/8 + -36. What is the nearest to g in -2, -3, f? f Let x = -54 + 52. Which is the nearest to 1? (a) -5 (b) x (c) 0.2 c Let n = -0.105 + 5.105. What is the nearest to 0 in -1, n, 3
{ "pile_set_name": "DM Mathematics" }
nded to 5 decimal places? 0.00006 Suppose -16862227 = 2*r + 53337773. Round r to the nearest one million. -35000000 Let y = 65 + -15. Round y to the nearest one hundred. 100 Let u = 1681157850856667 + -1681158528585698.000133. Let j = u - -677729354. Let w = 323 - j. Round w to 5 dps. 0.00013 Let c = 31 - 54. Let s = c + 23.0000015. Round s to 6 dps. 0.000002 Let p be 2 + -1 - 8/(-4). Suppose -3*z - z = b + 4, -12 = p*b - 2*z. What is b rounded to the nearest 10? 0 Suppose -11*l - 21813389 - 5796611 = 0. Round l to the nearest one hundred thousand. -2500000 Let f = -21506 + 21505.51797. Let x = f - -0.48. Round x to four dps. -0.002 Let j = -206.63 + 205. Let h = -1.63183 - j. Round h to four decimal places. -0.0018 Let f = -0.26 + -28.74. Let z = f - -27.1. Round z to zero decimal places. -2 Let h = -0.19 - -8.19. Let t = 6.4 - h. Let u = 1.9 - t. Round u to the nearest integer. 4 Let z be 4 + 7/((-7)/(-2)). Round z to the nearest 10. 10 Let h(c) = 5*c - 436. Let t be h(0). Round t to the nearest ten. -440 Let c be (21/4)/((-4)/293552). Let i = -557215 - c. Let s = i + 289928. Round s to the nearest ten thousand. 120000 Suppose 4*b - 6 = 3*b. Suppose -5*i = -3*n - 47422571, b*i + 4*n - 47422557 = i. Let t = i - 15584513. Round t to the nearest one million. -6000000 Let u = -338508958.9999989 - -338508941. Let i = u - -18. Round i to 6 dps. 0.000001 Let w = -0.14997 - -0.15. What is w rounded to five decimal places? 0.00003 Let o be (2/(-7))/((-3)/21). Suppose 0 = v - o. What is v rounded to 0 dps? 2 Let o = -9220497.99961 - -9220556. Let x = 58 - o. What is x rounded to 4 decimal places? -0.0004 Let h = -63 + 62.962. Round h to 2 dps. -0.04 Let a = -20.94 + 21. Let f = a + -0.0518. Round f to 3 decimal places. 0.008 Let f = 0.6 + 8.4. Let l = f - 9.000003. What is l rounded to 5 dps? 0 Let x = -38.6 - -22.9. What is x rounded to the nearest integer? -16 Let a = 318 + -317.386. Let f = 0.6931 - a. Let u = -0.076 + f. Round u to three dps. 0.003 Suppose 5*z + m - 4*m + 1380 = 0, 0 = z + 5*m + 248. Let p = -501 - z. What is p rounded to the nearest 10? -230 Let n = 0.70033 - 0.7. What is n rounded to 4 decimal places? 0.0003 Let i(x) = -3*x + 3. Let k be i(-4). Let n be (250/k)/((-1)/3000). Round n to the nearest one hundred thousand. -100000 Let u = 17392532 - 2791813. Suppose -u = 5*s + 7899281. Round s to the nearest 1000000. -5000000 Let b = 7.09 + -7. Let v = -0.089976 + b. Round v to five decimal places. 0.00002 Let d = -0.571 + 0.52. Let f = d - -0.0402. What is f rounded to three dps? -0.011 Let t be 39/(((-2)/(-200))/(-1)). Round t to the nearest 1000. -4000 Suppose 228668 + 1538897 = -5*l + 5*g, 0 = 4*l - 5*g + 1414047. Let w = l + 104553. Let h = 538965 + w. Round h to the nearest 100000. 300000 Let z(l) = -l**3 + 3*l**2 + 2*l. Let h be z(3). Suppose h*b = 2*b - 40400000. What is b rounded to the nearest 1000000? -10000000 Let f be (-1)/(-2 - (-10)/6). Let m be ((-5)/f)/(2/12). Let i be 9000004/(-6) + m/(-15). Round i to the nearest 1000000. -2000000 Let s = 8142.922 + -8153. Let x = s + 10. Let i = x - -7.878. Round i to the nearest integer. 8 Suppose 0 = 3*p, 0*p - 4*p + 7000 = i. What is i rounded to the nearest one thousand? 7000 Let p = -0.52 + 0.4. What is p rounded to one dp? -0.1 Let i(y) = -5*y - 6 - 2*y**2 - 3 + 7 + y**3. Let o be i(5). Round o to the nearest ten. 50 Let a = 88318 - 88317.790044. Let v = -0.21 + a. What is v rounded to 5 dps? -0.00004 Let m = -46.8 + 36. Let i = m + 19.1. What is i rounded to 0 dps? 8 Let p = 2239 + -2218.26. Let w = 21 - p. What is w rounded to one dp? 0.3 Suppose 0 = 4*x - 6767 - 1165. Suppose -4*s + 25 = s. Suppose 3417 = s*d - x. What is d rounded to the nearest 100? 1100 Let c(a) = -a**3 - 11*a + 10. Let i be c(7). Round i to the nearest 100. -400 Suppose 4*i - 2*i + 4*r + 10 = 0, -2*i + 2 = r. Suppose 0 = -5*x + 3*k - 785, 4*x - i*x + 140 = 4*k. Round x to the nearest one hundred. -200 Let n = -4 + 4. Suppose 4*j = d + 231, d = 5*j - n*d - 290. Suppose 1341 = -r - j. What is r rounded to the nearest 1000? -1000 Suppose -4*u = d + 107, -2*u - 3*d - 35 = 6. What is u rounded to the nearest ten? -30 Let t = -0.1112 - -0.11. Round t to 3 decimal places. -0.001 Suppose -7*j - 68400004 = -6*j + 4*t, 5*t + 136800005 = -2*j. What is j rounded to the nearest 1000000? -68000000 Suppose 8*h - 4*h + 1388 = 0. What is h rounded to the nearest 10? -350 Let d = -305.025 - -316. Let i = 0.075 - d. What is i rounded to the nearest integer? -11 Let r = 0.06891233 - 2.76891843. Let a = -2.7 - r. Round a to six decimal places. 0.000006 Let w = -0.67 + -26.33. Let k = w - 0. Let q = -26.99977 - k. What is q rounded to 4 decimal places? 0.0002 Let x = -135.1877509 + 146.78774996. Let f = -11.6 + x. What is f rounded to seven decimal places? -0.0000009 Let u = -0.064 + -1.156. What is u rounded to one dp? -1.2 Let p = -0.05945 - -0.06. Round p to four dps. 0.0006 Let p = -2.0005 + 2. Round p to four decimal places. -0.0005 Let s = -612 + 616.93. Let k = -0.07 - s. Let c = -5.0000032 - k. What is c rounded to six decimal places? -0.000003 Let y(g) = 6031*g + 4. Let k be y(-4). Suppose -3*d = -2*d - 84120. Let r = k + d. Round r to the nearest 10000. 60000 Let n = -1 - -0.94. Let h = n + 0. Let u = -0.059928 - h. What is u rounded to five dps? 0.00007 Let j = 1977.804057 - 1976.814. Let h = 1.36 + -0.37. Let y = j - h. What is y rounded to five dps? 0.00006 Let j = -0.11745 - -0.12. What is j rounded to three dps? 0.003 Let q = 126 - 125.9949. Round q to four dps. 0.0051 Let d = -0.024 + 0.085. What is d rounded to two dps? 0.06 Suppose -3*p - 11 = -5*u, 0 = -p + 5*u - 9 - 8. Suppose -p*a - 6 = -0*a. Let z(m) = 1650001*m + 2. Let x be z(a). What is x rounded to the nearest one million? -3000000 Let p = -122 + 122.0000107. What is p rounded to six dps? 0.000011 Let v = 7.3 - 7.2876. What is v rounded to 3 decimal places? 0.012 Let d = 0.2199988 + -0.22. Round d to 7 decimal places. -0.0000012 Let j be 4/14 - 188/(-28). Suppose -j*m + 2*m + 60000 = 0. What is m rounded to the nearest ten thousand? 10000 Let f = -10738 + 10909.93. Let n = 171 - f. Let z = n - -0.31. Round z to 1 dp. -0.6 Let m = 121235927 - 214611819. Let x = m - -93375913.0000084. Let t = -21 + x. What is t rounded to 6 decimal places? 0.000008 Let w = 2.1 + -2.032. Let f = w - 0.06. Round f to three decimal places. 0.008 Let a be (-479994)/12*2*-3. Suppose g = -4*u + 480001, -u + 3*g + a = u. What is u rounded to the nearest one hundred thousand? 100000 Let n(g) = -g - 4. Let a be n(-6). Let m(i) = -614*i - 2. Let z be m(a). What is z rounded to the nearest 100? -1200 Let o = -1 - -3. Let u be o + -2 + 5 + -3. Suppose -3*f = c + 9297, 5*c = -u*f - 4922 - 1263. Round f to the nearest 1000. -3000 Let l = 9851 - 9847.7064. Let n = l - 0.0256. Let f = n - 3.2. Round f to 2 dps. 0.07 Let n = 2.3 - 3.8. Round n to zero decimal places. -2 Let o = 20.57 - -0.93. Round o to the nearest integer. 22 Let p = 301.84 - 295. Let y = p - -0.16. Let f = -6.925 + y. What is f rounded to two dps? 0.08 Let b = 2400.087 - 2399. Let q = -1.16 + b. What is q rounded to two dps? -0.07 Let b be 30/(39717/(-9930) + 4). What is b rounded to the nearest ten thousand? 100000 Let w(o) = -250390*o**3 + 2*o**2 - 2*o + 5. Let j be w(-4). Suppose -2*g + 3374995 = -j. What is g rounded to the nearest 1000000? 10000000 Let p = -1.4 + -1.1. Let w = 0.08 + -2.08. Let y = p - w. Round y to the nearest integer. -1 Let n = 0.044 - 0.07. Round n to two dps. -0.03 Let k = 29088 - 29102.011. Let j = 14 + k. What is j rounded to 3 dps? -0.011 Let h = 17.946 - 18. Round h to one dp. -0.1 Let m = 15 + -16. Let d = m + 1.00001. What is d rounded to four dps? 0 Suppose -5027 = -4*s + 19773. Round s to the nearest 1000. 6000 Let j = 0.03 + 0.07. Let x = -0.09963 + j. Round x to 4 dps. 0.0004 Let g(t) = -2330*t**3 + 9*t**2 + 13*t - 2. Let o be g(11). Round o to the nearest 1000000. -3000000 Let i(t) = -2 - 2*t + t + t**2 + 2*t**2 + 174*t**3. Let q be i(2). Round q to the nearest one thousand. 1000 Let s = 9 - 3. Let a = -6 + s. Let z = a + 0.000011. Round z to five dps. 0.00001 Let d = -0.4 - -0.37. Let y = -0.57 + d. Let q = 0.1 + y. What is q rounded to the nearest integer? -1 Let q = 21
{ "pile_set_name": "DM Mathematics" }
u). 29*u - 2 Let w(x) = 83*x**2 - 97*x + 31. Let y(q) = -30*q**2 + 32*q - 11. Give 4*w(j) + 11*y(j). 2*j**2 - 36*j + 3 Let m(d) = -d. Let k be ((-1938)/72 - (-5)/(-15)) + (-24)/32. Let o(f) = 15*f. Determine k*m(h) - 4*o(h). -32*h Let p be (-1 - -3)/(4/8). Let w = 3291 + 354. Let k(t) = 3645*t - 5 - 3*t**2 - w*t. Let x(a) = -a**2 - 1. Calculate p*x(b) - k(b). -b**2 + 1 Let k(t) = -50*t - 1627. Let d(r) = 28*r + 814. Give -9*d(g) - 5*k(g). -2*g + 809 Let y(n) = -n**2 + 9*n - 524. Let j(b) = -2*b**2 + 15*b - 1047. What is 3*j(o) - 5*y(o)? -o**2 - 521 Let r = -12 + 8. Let i(k) = 47*k - 424. Let z be i(9). Let s(n) = -14 + 2*n - 23 + 30. Let g(v) = 1. Calculate r*g(a) + z*s(a). -2*a + 3 Let z(n) = 27*n**2 - 63*n - 4. Let f(h) = 27*h**2 - 61*h - 3. Give 5*f(v) - 4*z(v). 27*v**2 - 53*v + 1 Let s(d) = d + 2 + 7 + 5*d + 1 - 7. Let f(w) = 5*w + 2. Calculate -4*f(q) + 3*s(q). -2*q + 1 Let k(t) = -4*t**2 - 7*t - 7. Let b(i) be the first derivative of -2*i**3/3 - 2*i**2 - 4*i + 2. Suppose -157 = 16*z - 205. Calculate z*k(d) - 5*b(d). -2*d**2 - d - 1 Let u(c) = -c**2 - c - 2. Let q(l) be the first derivative of -5*l**3/3 - 5*l**2/2 - 9*l + 7602. What is 2*q(p) - 9*u(p)? -p**2 - p Let i(s) = -32*s**2 + 37*s - 2. Let l(g) = 15*g**2 - 16*g + 1. Determine 2*i(q) + 5*l(q). 11*q**2 - 6*q + 1 Let o(r) = 2*r**2 - 4. Suppose 4*c - 343 = -5*q, 2*c - 73 = -q + 106. Let v = 96 - c. Let j(h) = h**2 - 1. Calculate v*j(x) - o(x). 2*x**2 Let g(b) = b**2. Let m(f) = f**2 + 34*f + 2. Give -6*g(j) + m(j). -5*j**2 + 34*j + 2 Let s(c) = -c - 1. Let q(b) = 1436*b + 152. Let p(z) = 554*z + 61. Let m(v) = -13*p(v) + 5*q(v). Let x(n) = n - 1. Let t be x(0). Give t*m(f) + 33*s(f). -11*f Let n(t) = -8*t**3 + 5*t**2 + 5*t - 3. Let g(j) = j - 1. Calculate 3*g(z) - n(z). 8*z**3 - 5*z**2 - 2*z Let w(v) = -2710*v + 5451*v + 5 - 2*v**2 - 2731*v. Let i(g) = -g - 1. Determine 2*i(j) + w(j). -2*j**2 + 8*j + 3 Let u(q) = 75*q**2 + 108*q - 6. Let z(r) = -60*r**2 - 109*r + 5. Give 6*u(h) + 7*z(h). 30*h**2 - 115*h - 1 Let d be 11 + 990/(-105) + (-3)/(-7). Let c(b) = -b + 2. Let k(s) = s - 1. Give d*k(v) + 3*c(v). -v + 4 Let c(d) = -9*d + 352. Let u(m) = 32*m - 1232. What is -34*c(l) - 10*u(l)? -14*l + 352 Let u(a) = 9*a**2 + 4*a + 8. Let v(p) = 5*p**2 + 14*p + 2. Let o(b) = 8*b**2 + 23*b + 3. Let q(y) = 3*o(y) - 5*v(y). Determine -4*q(f) - u(f). -5*f**2 - 4 Let n(t) = -t**2 - 244*t + 2010. Let u be n(8). Let v(d) be the second derivative of -3/2*d**3 + d + 0 - 4*d**2. Let m(g) = 17*g + 15. What is u*m(k) - 11*v(k)? -3*k - 2 Let l be 252/70*(0 + 5). Let s(v) = -v**2 + 15*v + 42. Let z be s(l). Let p(u) = u + 4. Let q(t) = 1. Determine z*q(d) + 3*p(d). 3*d Let k(q) = 3*q + 1. Let s(w) be the first derivative of -1/2*w**2 + 0*w - 34. Determine -k(z) - 4*s(z). z - 1 Let j(z) = 44*z - 1102. Let m be j(25). Let a(o) = -o**3 - o + 1. Let f(g) = 10*g**3 - g + 2. What is m*a(p) + f(p)? 12*p**3 + p Let l(w) = 2*w**2 - 5*w + 2. Suppose -3*k - k = -5*i - 42, 4*i - k + 27 = 0. Let s(c) = 2*c**2 - 6*c + 2. What is i*s(d) + 7*l(d)? 2*d**2 + d + 2 Let f(t) = 19*t**2 - 3*t. Let s(i) = 19*i**2 - 2*i. Suppose 23*l + 15 - 23 = 61. Calculate l*f(z) - 4*s(z). -19*z**2 - z Let g(v) = -5*v**2 + 8*v - 8. Let p(y) = -27*y**2 + 5*y - 17. Let b(l) = 4*l**2 + 2. Let k(h) = 6*b(h) + p(h). Calculate -5*g(a) + 8*k(a). a**2 Let v(g) = -75*g - 9314. Let l(d) = -23*d - 3103. Calculate 13*l(j) - 4*v(j). j - 3083 Let w(j) be the third derivative of -j**5/20 + j**4/12 - 3*j**2. Let p(z) be the second derivative of z**3/6 + 16*z + 33. Give 2*p(c) - w(c). 3*c**2 Let o(k) = -4*k**2 - 131*k - 11. Let r(t) = t**2 + 44*t + 4. Determine -4*o(g) - 13*r(g). 3*g**2 - 48*g - 8 Let h(t) = 0 + 0 + 5*t. Suppose -4 = -2*n + 5*l, 5*n + 29 = -5*l + 4. Let k(f) be the second derivative of 4*f**3 + 74*f + 2. Calculate n*k(b) + 14*h(b). -2*b Let n(m) = -121*m**2 - 3*m + 11. Let p(h) = -125*h**2 - 2*h + 12. Give -2*n(g) + 3*p(g). -133*g**2 + 14 Let b(o) = 20097*o + 345. Let n(x) = 10048*x + 207. What is -3*b(v) + 5*n(v)? -10051*v Let c(o) = -4*o**2 + o - 494. Let b(s) = -9*s**2 + 3*s - 989. What is -2*b(k) + 5*c(k)? -2*k**2 - k - 492 Let p(j) = 166*j**2 - 13*j + 20. Let s(y) = -166*y**2 + 11*y - 15. Calculate -5*p(c) - 6*s(c). 166*c**2 - c - 10 Suppose 11*t - d = 7*t - 510, 119 = -t - 4*d. Let r = 118 + t. Let g(l) = -4*l - 1. Let s(w) = -17*w - 5. What is r*g(v) + 2*s(v)? 2*v - 1 Let i(z) = 3948*z**3 + 3*z**2 - 3*z. Let t(h) = -11845*h**3 - 10*h**2 + 10*h. Calculate 10*i(f) + 3*t(f). 3945*f**3 Let k(q) = 361745*q**2 + 3408*q + 1704. Let w(n) = -1914*n**2 - 18*n - 9. Give -3*k(p) - 568*w(p). 1917*p**2 Let o(y) = 4*y. Let d(h) = -500*h - 3. What is -d(p) - 6*o(p)? 476*p + 3 Let r(f) = 3*f - 42. Let p(u) = -8*u + 80. Calculate -4*p(o) - 10*r(o). 2*o + 100 Let x(o) = -2*o - 1. Let w(t) = t + 1. Let r be (-4)/16*4 + 16. Let c be r/40 - (-135)/(-40). What is c*x(v) - 5*w(v)? v - 2 Let y(b) = 10*b + 509. Let s(g) = -9*g - 420. Calculate -5*s(i) - 4*y(i). 5*i + 64 Let t(i) be the third derivative of -i**5/60 + 5*i**4/24 + 6*i**3 - 5*i**2 - i. Let h(n) be the first derivative of t(n). Let a(l) = 1. What is 5*a(u) - h(u)? 2*u Let q(w) = 2*w**2 - w - 150. Let i be q(9). Let x(u) = 4*u**3 - 3*u**2 - 4*u + 3. Let m(d) = 7*d**3 - 5*d**2 - 8*d + 5. What is i*m(a) - 5*x(a)? a**3 - 4*a Let z(c) be the second derivative of -2*c**4/3 - c**3 + 2*c**2 + 14*c - 52. Let n(x) = x**2 - x + 1. Calculate 4*n(v) - z(v). 12*v**2 + 2*v Let u(i) = 6*i**2 - 10*i + 13. Let k(m) = -m**2 + 1. Let j(s) = 6*s**2 - 7*s + 7. Let p(t) = -j(t) - 2*k(t). Let o = 6882 + -6877. What is o*u(b) + 7*p(b)? 2*b**2 - b + 2 Let s = 20 + -17. Let k(o) = -41 + 4*o**s + 44 - o - 6*o**2 - 3*o. Let v(g) = -7*g**3 + 11*g**2 + 7*g - 6. Let q = 547 + -541. Give q*v(h) + 11*k(h). 2*h**3 - 2*h - 3 Let c(g) = 11*g + 215. Let h(x) = -4*x - 107. What is -4*c(b) - 9*h(b)? -8*b + 103 Let b(m) = -10*m**2 + 70*m - 3. Let j(g) = -10*g**2 + 91*g - 3. What is -6*b(a) + 5*j(a)? 10*a**2 + 35*a + 3 Let t(r) = -22*r + 11 + 26*r - 4 - 8*r - 13*r. Let g(l) = 9*l - 4. Calculate 5*g(w) + 3*t(w). -6*w + 1 Let h(d) be the third derivative of -d**5/30 - d**4/12 - d**3/3 + d**2 + 700*d. Let x(r) = -r**2 - 2*r - 2. What is 3*h(f) - 4*x(f)? -2*f**2 + 2*f + 2 Let j(t) = 4*t**2 - 3*t - 3. Let h(q) = -5*q + 30. Let y be h(5). Let v(c) = y*c + 5*c + 10 - 64*c**2 + 52*c**2. What is -10*j(p) - 3*v(p)? -4*p**2 Let h be (16/6)/(6/9). Let t(v) be the second derivative of -v**3/6 + v**2 - 52*v + 9. Let s(x) be the first derivative of x**2 - 2*x + 1. Give h*t(c) + 3*s(c). 2*c + 2 Let c(p) = -28240*p - 44. Let h(x) = 1883*x + 3. Calculate -6*c(r) - 88*h(r). 3736*r Let l(s) = -s**3 - 30*s**2 + 32*s + 23. Let k be l(-31). Let i(q) = -q**3 - 11*q + 12. Let p(u) = 4*u - 4. Calculate k*p(z) - 3*i(z). 3*z**3 + z - 4 Let z(d) = 3*d**2 - d - 3. Let k(b) = 2 + b + 40*b**2 - 16*b**2 - 15*b**2 - 11*b**2. Let l = 403 + -408. Determine l*z(i) - 8*k(i). i**2 - 3*i - 1 Let k(f) = 2*f - 2. Let j = -27 - -29. Let x(d) = 143*d**2 - 285*d**2 - 3*d + 143*d**2 + 2*d + 1. Calculate j*k(p) + 4*x(p). 4*p**2 Let a(f) = 100*f**2 + 54*f + 8. Let c(b) = -50*b**2 - 24*b - 4. Give -4*a(v) - 9*c(v). 50*v**2 + 4 Suppose 0 = f - g - 37 + 25, -5*f + 36 = -g. Let l(q) = 7*q**2 + 3*q + 4. Let n(r) = -29*r**2 - 13*r - 17. Calculate f*n(m) + 26*l(m). 8*m**2 + 2 Suppose 19*n = -7*l + 17*n + 11, 3*n - 9 = -3*l. Let k(x) = -4*x**2 - 2*x - 3. Let y(w) = w**2. Calculate l*k(q) + 2*y(q). -2*q**2 - 2*q - 3 Let v(q) = -464*q**2 - 2*q - 2. Let a(r) = -4*r**2 - 2*r + 1. Calculate a(w) - v(w). 460*w**2 + 3 Suppose 38*q - 35*q - 30 = 0. Let i(u) = -9291*u + 3*u**2 + 9289*u + 0*u**2 - 2*u**2. Let r(t) = 0*t**2 + 0*t**2 + 5*t - 3*t**2. What is q*i(n) + 4*r(n)? -2*n**2 Let a(h) = -369*h + 905. Let q(u) = -296*u + 905. Calculate 4*a(n) - 5*q(n). 4*n - 905 Let w(o) = -9*o + 6. Let t(i) = 8*i - 5. Let y = 701 - 705. What is y*w(r) - 5*t(r)? -4*r + 1 Let f(x) = 76*x - 17598. Let i(c) = -198*c + 43996. Determine -13*f(a) - 5*i(a). 2*a + 8794 Let w(d) = -2*d**2 + 3*d + 7. Let o(i) = i**2 + 4*i**2 + 3*i - 8*i**2 + i**2 + i**2 + 6. Determine -3*o(f) + 2*w(f). -f**2 - 3*f - 4 Let z(a) = 643*a - 10. Let f(i) = -i - 3. What is -4*f(h) + z(h)? 647*h + 2 Let f(j) be the second derivative of -4*j**3/3 - j**2
{ "pile_set_name": "DM Mathematics" }
Solve -74*q + 785 = 267 for q. 7 Solve -8*c + 65 = 121 for c. -7 Solve -10*w = -10 - 30 for w. 4 Solve 0 = -7*d - 5 + 12 for d. 1 Solve -5*w + 111 = -42*w for w. -3 Solve -39 = -15*l + 21 for l. 4 Solve a - 173 = -178 for a. -5 Solve 0 = 18*a + 735 - 789 for a. 3 Solve -68 = -5*z - 48 for z. 4 Solve 50 - 55 = -5*d for d. 1 Solve -12*h = -37 + 1 for h. 3 Solve -20*q + 19 + 21 = 0 for q. 2 Solve -4*z + 20 = -0*z for z. 5 Solve -8*s - 191 + 159 = 0 for s. -4 Solve -8*o + 4 = -6*o for o. 2 Solve -5*l = -3*l - 4 for l. 2 Solve 0 = 25*z - 27*z + 12 for z. 6 Solve 20 = 6*l + 4*l for l. 2 Solve 0 = 13*v + 824 - 772 for v. -4 Solve -26 = 2*l - 20 for l. -3 Solve -36 = 417*o - 411*o for o. -6 Solve 0 = -2*b - 0*b + 10 for b. 5 Solve 490 = 6*y + 520 for y. -5 Solve 0 = -11*a + 15 - 15 for a. 0 Solve -10*m + 17*m + 7 = 0 for m. -1 Solve -42*v + 50 = 8*v for v. 1 Solve 5*w = 3*w + 4 for w. 2 Solve 237*n = 242*n + 45 for n. -9 Solve 0 = -l + 6*l - 3*l for l. 0 Solve 2*d - 15 - 1 = 0 for d. 8 Solve 0 = -r + 15 - 16 for r. -1 Solve -24*a + 2 = -22*a for a. 1 Solve -6 = -10*h + 4 for h. 1 Solve 206*u + 6 = 208*u for u. 3 Solve 62*u - 37*u = -125 for u. -5 Solve -3*y + 193 - 205 = 0 for y. -4 Solve 0 = 33*p + 12*p + 270 for p. -6 Solve -79*o + 189 = -48 for o. 3 Solve 38*x - 4 = 39*x for x. -4 Solve -30*b = -27*b + 15 for b. -5 Solve -6*n = 2*n + 24 for n. -3 Solve 147*z - 46 = 170*z for z. -2 Solve -1581*t = -1575*t for t. 0 Solve 56*j = 81 - 25 for j. 1 Solve -33*k - 47 = 184 for k. -7 Solve 0 = -204*p + 199*p + 5 for p. 1 Solve -45*a + 38*a + 35 = 0 for a. 5 Solve 21 = 14*x - 7*x for x. 3 Solve -35*v - 72 - 138 = 0 for v. -6 Solve 21*v - 8 = 23*v for v. -4 Solve -140 = -9*x + 44*x for x. -4 Solve 45*w = -27*w - 360 for w. -5 Solve 14 = a + 10 for a. 4 Solve 90*c = 92*c + 2 for c. -1 Solve 0 = 6*v - 10*v - 20 for v. -5 Solve 6*q = -11 - 1 for q. -2 Solve 2*x = -x + 6 for x. 2 Solve 120 = 88*p - 76*p for p. 10 Solve -13*s = -7*s - 18 for s. 3 Solve -35*s - 64 - 41 = 0 for s. -3 Solve -2030*q = -2013*q + 136 for q. -8 Solve -44*z - 6 = -42*z for z. -3 Solve 125 + 51 = -22*w for w. -8 Solve 0 = -22*i + 38 + 50 for i. 4 Solve 17*j - 30 - 55 = 0 for j. 5 Solve 3*g = -30 + 33 for g. 1 Solve -90 = -111*f + 121*f for f. -9 Solve 637 = 30*v + 61*v for v. 7 Solve 14*s + 8 = -62 for s. -5 Solve -24*o = -107 - 37 for o. 6 Solve 0 = 25*t + 127 + 98 for t. -9 Solve -33 = 16*s + 17*s for s. -1 Solve 4*a - 8*a = 16 for a. -4 Solve 4*h - 8*h = 0 for h. 0 Solve 2628*j = 2624*j - 12 for j. -3 Solve 24*j + 18 = 42*j for j. 1 Solve 25*f = 27*f + 8 for f. -4 Solve -9*l - 517 = -481 for l. -4 Solve 14*d + 50 - 8 = 0 for d. -3 Solve 21*w = 33*w + 72 for w. -6 Solve 2*f + 74 - 76 = 0 for f. 1 Solve -1917*h = -1923*h + 36 for h. 6 Solve 6*c - 6 = -30 for c. -4 Solve -2 = -6*r + 10 for r. 2 Solve 0 = -12*k + 31 + 5 for k. 3 Solve 9*k - 13 = -58 for k. -5 Solve -19 = 2*d - 9 for d. -5 Solve 2*u - 1 = 3*u for u. -1 Solve 2*u = -65 + 71 for u. 3 Solve -7*k - 25 = -2*k for k. -5 Solve -5*r - 7*r = 0 for r. 0 Solve -25 + 79 = -18*k for k. -3 Solve -2*q + 7 = -q for q. 7 Solve -11*v - 6 = -17 for v. 1 Solve -5 = -4*k - 25 for k. -5 Solve 0 = -2*s - 53 + 57 for s. 2 Solve 132*t - 115*t - 51 = 0 for t. 3 Solve 56*g - 54 = -222 for g. -3 Solve -6*p + 14 = -4 for p. 3 Solve -10*c = 24 - 34 for c. 1 Solve 25*s + 9*s - 204 = 0 for s. 6 Solve -4*j + 12 - 32 = 0 for j. -5 Solve 0 = -125*t + 122*t - 6 for t. -2 Solve 10*y = 36 + 4 for y. 4 Solve 4*p - 9*p = 0 for p. 0 Solve 38*i - 9 = -123 for i. -3 Solve 10*k - 147 = -11*k for k. 7 Solve 7*s = -13 - 1 for s. -2 Solve -22*b + 26*b - 16 = 0 for b. 4 Solve 4 = -126*o + 130 for o. 1 Solve -49*w + 48*w = -1 for w. 1 Solve 24*i + 119 = 7*i for i. -7 Solve 0 = -4*i - 861 + 841 for i. -5 Solve i - 2 + 4 = 0 for i. -2 Solve 0 = 28*i - 19*i - 18 for i. 2 Solve -82*v + 24 = -90*v for v. -3 Solve -29 = 15*u + 1 for u. -2 Solve 14*l + 578 - 466 = 0 for l. -8 Solve 7*c + 49 = 77 for c. 4 Solve 3*j + 12*j + 90 = 0 for j. -6 Solve 6 = 25*u - 19 for u. 1 Solve 72*m = 5*m + 603 for m. 9 Solve -7*a = -21 + 42 for a. -3 Solve 230*r - 237*r = 14 for r. -2 Solve -49*t + 45*t = -12 for t. 3 Solve 2*h - 8*h = 18 for h. -3 Solve 18 = n - 4*n for n. -6 Solve 114 = 23*b + 34*b for b. 2 Solve 10*v + 25 = 5*v for v. -5 Solve -15 = 5*r - 2*r for r. -5 Solve 306*y + 180 = 336*y for y. 6 Solve 0 = -12*r + 20 + 28 for r. 4 Solve -5*m = -0*m - 15 for m. 3 Solve -20 = 5*z - 15 for z. -1 Solve -20 = -32058*c + 32063*c for c. -4 Solve 163*q = 186*q + 46 for q. -2 Solve 0 = -4*b - 63 + 83 for b. 5 Solve -90*z = -96*z + 24 for z. 4 Solve -182 + 192 = -10*i for i. -1 Solve -69*q = -66*q + 9 for q. -3 Solve 79*p - 8*p = 213 for p. 3 Solve -4*o - 310 + 322 = 0 for o. 3 Solve 22*d - 57 + 13 = 0 for d. 2 Solve -40*z = 7*z + 141 for z. -3 Solve -24*j - 96 = -336 for j. 10 Solve 390 = -7*s + 355 for s. -5 Solve 3*l - 141 + 144 = 0 for l. -1 Solve -23*r + 44 = -12*r for r. 4 Solve -5*y - 5 + 10 = 0 for y. 1 Solve -17 = j - 12 for j. -5 Solve -76 = 14*c + 8 for c. -6 Solve -56 + 22 = 17*f for f. -2 Solve 495*c + 28 = 502*c for c. 4 Solve -6*u - 6 = 12 for u. -3 Solve 0 = 55*u - 58*u + 9 for u. 3 Solve -57*c = -83*c + 182 for c. 7 Solve 0 = 7*z + 11 + 3 for z. -2 Solve 115 = 2*q - 25*q for q. -5 Solve -116*m + 119*m - 9 = 0 for m. 3 Solve -177*u + 181*u + 8 = 0 for u. -2 Solve -126*i = -130*i + 32 for i. 8 Solve -49 = 11*f + 6 for f. -5 Solve 235*t = 231*t - 8 for t. -2 Solve 16*y + 48 = 112 for y. 4 Solve 0 = 2*a + 18 - 20 for a. 1 Solve 129 = -31*f - 57 for f. -6 Solve 18 = 48*i - 42*i for i. 3 Solve 7*n + 6*n = 5*n for n. 0 Solve -150*o + 944 = -32*o for o. 8 Solve 9*c - 16 = 5*c for c. 4 Solve -8*i = 8*i + 48 for i. -3 Solve -j = -5*j + 4 for j. 1 Solve -12*h + 0*h = 60 for h. -5 Solve 12*x - 40 = -112 for x. -6 Solve 240*n - 235*n = 15 for n. 3 Solve 52*h - 58*h = -12 for h. 2 Solve -27*h + 25*h = 2 for h. -1 Solve 16*f = -19*f + 29*f for f. 0 Solve 4*s - 54 = -38 for s. 4 Solve 300*k - 310*k = 40 for k. -4 Solve 0 = -17*x + 37 + 14 for x. 3 Solve 0 = -181*g + 177*g + 20 for g. 5 Solve -11*i - 236 = -225 for i. -1 Solve -5*b = 31*b + 15*b for b. 0 Solve -206*t + 204*t = -8 for t. 4 Solve -13*k - 16 = -9*k for k. -4 Solve -6*u + 11 = -7 for u. 3 Solve -324*q + 326*q = -4 for q. -2 Solve -26*l + 31*l = 35 for l. 7 Solve -80*p = -113*p - 297 for p. -9 Solve -15 = -116*q + 101*q for q. 1 Solve -53*f + 55*f + 8 = 0 for f. -4 Solve 18*j = 12*j + 12 for j. 2 Solve 0 = 10*b - 6 - 24 for b. 3 Solve 227*c + 140 = 241*c for c. 10 Solve 11*c + 5 + 6 = 0 for c. -1 Solve -2*z - 5 = -7 for z. 1 Solve -30 = 6913*t - 6919*t for t. 5 Solve 0 = -3*h + 17*h - 14 for h. 1 Solve 0 = -18*w - 9 + 117 for w. 6 Solve 65 = 4*k + 57 for k. 2 Solve 0 = 7*x - 251 + 279 for x. -4 Solve -22 = z - 23*z for z. 1 Solve j + 44 = 12*j for j. 4 Solve -176*x = -170*x for x. 0 Solve 99*u - 106*u = 0 for u. 0 Solve 0 = 49*i - 86*i + 259 for i. 7 Solve 46*h + 64 = -28 for h. -2 Solve 228 = -86*n + 29*n for n. -4 Solve 4*k = 6*k - 6 for k. 3 Solve 152*d = 132*d - 140 for d. -7 Solve -3*v + 1 = -5 for v. 2 Solve 60*z + 3 = 63*z for z. 1 Solve 16*r - 1 = 15*r for r. 1 Solve -25*n + 0*n = n for n. 0 Solve 6*k + 2735 = 2729 for k. -1 Solve 5*a - 8*a = 0 for a. 0 Solve 0 = -6*r + 19 - 7 for r. 2 Solve -22*h = 2*h + 96 for h. -4 Solve 0 = 346*w - 345*w - 4 for w. 4 Solve -27*i - 20 = -31*i for i. 5 Solve -9*v - 138 = -120 for v. -2 Solve 6 = -2*z - 0 for z. -3 Solve 5*o + 20 = o for o. -5 Solve -49*l - 456 - 34 = 0 for l. -10 Solve 70 = -48*r - 314 for r. -8 Solve -179*y + 52 = -153*y for y. 2 Solve 0 = 17*k - 258 + 377 for k. -7 Solve 0 = 7*t + 12*t - 19 for t. 1 Solve -17*s - 32*s + 294 = 0 for s. 6 Solve 21 = 6*r + r for r. 3 Solve -16 + 13 = p for p. -3 Solve 8*m - 351 = -431 for m. -10 Solve 62*b + 47 = 357 for b. 5 Solve 0 = 58*s - 166 - 298 for s. 8 Solve -53 + 18 = -7*v for v. 5 Solve 3*b = b for b. 0 Solve -54*h = -39*h - 15 for h. 1 Solve -7*w = 43*w - 350 for w. 7 Solve 1368*f - 1377*f = 45 for f. -5 Solve -98 = 7*c - 56 for c. -6 Solve 49*u + 600 = 109*u for u. 10 Solve p = -0*p - 45*p for p. 0 Solve -14*d - 18 - 24 = 0 for d. -3 Solve 10*u + 0*u = -30 for u. -3 Solve 14 = 23*t + 60 for t. -2 Solve 0*c = 10*c for c. 0 Solve
{ "pile_set_name": "DM Mathematics" }
i Collect the terms in -173 + 107 + 46 + 5*u - 1. 5*u - 21 Collect the terms in 85 - 42 - 44 + 15*r - 90*r. -75*r - 1 Collect the terms in 289 - 289 + 239*p + 240*p + 240*p + 83*p**2 - 719*p. 83*p**2 Collect the terms in -27*f**3 + 6*f - 27*f**3 - 33*f**3 + 89*f**2 - 6*f + 88*f**3. f**3 + 89*f**2 Collect the terms in -238705*y**3 + 128*y + 124*y - 33 - 252*y + 119350*y**3 + 119353*y**3. -2*y**3 - 33 Collect the terms in 33117*k - 8275*k - 8282*k - 8282*k - 8276*k - 97*k**2. -97*k**2 + 2*k Collect the terms in 366*p + 152*p + 1540*p**2 - 518*p. 1540*p**2 Collect the terms in 354080*w**2 + 3 - 9*w**3 + 22*w**3 - 354080*w**2 - 3 + 2. 13*w**3 + 2 Collect the terms in 4*c - 2484783373 + 2484783357 - 5*c. -c - 16 Collect the terms in 104*m**2 + 2*m**3 - 4 - 105*m**2 - 4 + 500*m. 2*m**3 - m**2 + 500*m - 8 Collect the terms in -32*q**2 - 66*q**2 + 184*q + 80*q. -98*q**2 + 264*q Collect the terms in -77*o + 6*o**2 - 142*o - 56*o + 62*o. 6*o**2 - 213*o Collect the terms in -1063992*a**3 - 1185223*a**3 - 103489*a**3 + 278485*a**3. -2074219*a**3 Collect the terms in 197*u - 38*u - 1561 + 114*u + 22*u. 295*u - 1561 Collect the terms in -1684*d + 3484*d - 1708*d. 92*d Collect the terms in 4*k - 10*k - 77324 + 4*k + 38648 + 38642. -2*k - 34 Collect the terms in 338*r**3 - 113*r**3 - 108*r**3 - 120*r**3. -3*r**3 Collect the terms in -1287514*j + 416077*j + 299254*j - 1310744*j. -1882927*j Collect the terms in 9453*f**2 + 8 - 2 - 850*f + 850*f. 9453*f**2 + 6 Collect the terms in -2868 - 130*b**3 - 2958 + 5826. -130*b**3 Collect the terms in 46*u + 176 + 5*u + 95. 51*u + 271 Collect the terms in -69*y**3 - 67*y - 190*y**3 + 35*y**3 - 45*y**3 + 65*y. -269*y**3 - 2*y Collect the terms in -161984*v + 320690*v - 158703*v. 3*v Collect the terms in -5*i + 51 - 35*i + 72*i - 30*i. 2*i + 51 Collect the terms in -235*x**2 - 196*x + 196*x - 890*x**2. -1125*x**2 Collect the terms in 711*b + 169*b + 134*b + 120*b - 1215*b. -81*b Collect the terms in 7413333 - 7413333 + 1448*z. 1448*z Collect the terms in 46*t - 85*t - 4352*t**3 + 2169*t**3 + 2174*t**3 + 39*t. -9*t**3 Collect the terms in -416 - 421 + 126523*g**3 + 837. 126523*g**3 Collect the terms in 15*h + 1228*h + 22*h**2 + 5*h - 1262*h + 14*h. 22*h**2 Collect the terms in 499 - 37925*d - d**2 - 496 + 37925*d. -d**2 + 3 Collect the terms in -6 - 65*q**3 + 79*q**3 + 6 + 153*q**3. 167*q**3 Collect the terms in -2132 + 714 + 707 + 30023*l**2 + 711. 30023*l**2 Collect the terms in 407225*v - 203117*v - 204110*v. -2*v Collect the terms in 13818723*a + 317 - 13818728*a - 317. -5*a Collect the terms in 3*m**3 + 84*m**2 + 40*m**2 - 11*m**3 + 32*m**2 - 156*m**2. -8*m**3 Collect the terms in 8 - 21433*r**2 - 25 - 20 - 1. -21433*r**2 - 38 Collect the terms in -13374*b - 16509*b + 6 + 6. -29883*b + 12 Collect the terms in 4087955*i**3 - 4093320*i**3 + 52 - 52. -5365*i**3 Collect the terms in -12266*u**3 + u + 12265*u**3 + 9*u + 115 - 15*u + 5*u. -u**3 + 115 Collect the terms in 108 - 112 + 315216*c - 315228*c. -12*c - 4 Collect the terms in 17785*x - 17785*x + 45 - 289*x**2 + 288*x**2. -x**2 + 45 Collect the terms in -87*a**2 - 95*a**2 - a - a + 21 - 76*a**2. -258*a**2 - 2*a + 21 Collect the terms in -4 - 2 - 2271*k**2 + 6 - 2*k + 6010*k**2. 3739*k**2 - 2*k Collect the terms in -3670*b**2 - 45*b**3 + 36 - 34 + 3670*b**2. -45*b**3 + 2 Collect the terms in 342*a**2 + 267*a**3 - 182*a**2 - 1 + 2 - 164*a**2. 267*a**3 - 4*a**2 + 1 Collect the terms in d - 39441 - 39443 - 4*d + 79000. -3*d + 116 Collect the terms in 50631*y**3 - 22871*y**3 - 39559*y**3. -11799*y**3 Collect the terms in 2719*j - 817*j - 868*j + 10454*j. 11488*j Collect the terms in 562*d**3 + d - 1003*d**3 + 434*d**3. -7*d**3 + d Collect the terms in -2735*i + 12*i**3 - 16*i**3 - 2731*i + 5466*i + 194*i**3. 190*i**3 Collect the terms in -25294*g + 8426*g + 8436*g + 8431*g. -g Collect the terms in 2419*u**3 - 5*u**2 + 1379*u**3 + 5*u**2 - 2743*u**3. 1055*u**3 Collect the terms in 6*s**2 - 293199*s**3 - 140184*s**3 - 6*s**2. -433383*s**3 Collect the terms in -35*m - 235739*m**3 + 13*m + 22*m. -235739*m**3 Collect the terms in 208 - 67*h**2 - 56 - 50 - 49 - 53. -67*h**2 Collect the terms in 237170 + 16*d**2 - 19*d**3 - 237170. -19*d**3 + 16*d**2 Collect the terms in 5*w**3 - 12 + 65838*w**2 - 65834*w**2 + 12. 5*w**3 + 4*w**2 Collect the terms in -7310*l - 186*l**3 + 1134*l**3 + 7310*l. 948*l**3 Collect the terms in 3950*h**3 - 9747*h**3 + 4839*h**3. -958*h**3 Collect the terms in -13531*f**2 + 6851*f**2 + 7576*f**2. 896*f**2 Collect the terms in 700*t**2 - 600*t**2 - 425*t**2. -325*t**2 Collect the terms in -40*d**3 - 62*d**3 + 95*d**3 + 275*d - 275*d. -7*d**3 Collect the terms in 859*c**2 + 61*c**2 + 7*c - 170*c**2 + 474*c**2. 1224*c**2 + 7*c Collect the terms in 726*o + 328*o - 4362*o. -3308*o Collect the terms in 5*g**2 + 191564 - g**2 - 191550 - g**2. 3*g**2 + 14 Collect the terms in -82*u**2 - 336806*u + 336812*u + 86*u**2. 4*u**2 + 6*u Collect the terms in -t**3 - 1597*t**2 - 1072*t**2 + 2668*t**2. -t**3 - t**2 Collect the terms in 31*v**2 - 37*v**2 + 2 - 2 + 69*v**2 - 2*v - 39*v**2. 24*v**2 - 2*v Collect the terms in -z**2 - 985442*z**3 - 9*z + 985471*z**3 + z**2 + 9*z. 29*z**3 Collect the terms in 121*q + 125*q + 129*q - 524*q + 134*q. -15*q Collect the terms in -294 + 14 - 264 + 2*p + 35. 2*p - 509 Collect the terms in 28942 - 1078*a - 57883 - 2551*a + 28941. -3629*a Collect the terms in 2536 + 2536 - 125890*x**2 - 5072. -125890*x**2 Collect the terms in 30900*r**3 - 142*r**2 + 134*r**2 - 30929*r**3. -29*r**3 - 8*r**2 Collect the terms in 32 + 65*t - 2*t + 15 - 63*t + 17*t**3. 17*t**3 + 47 Collect the terms in -950077 + 950077 + 45147*h. 45147*h Collect the terms in 43780*b - 40572*b - 110685*b - 33283*b. -140760*b Collect the terms in 7*h**2 + 10604*h**3 + 10357*h**3 - 20963*h**3. -2*h**3 + 7*h**2 Collect the terms in 210 + 42 + 67*m**2 - 125*m**2 + 60*m**2 - 250. 2*m**2 + 2 Collect the terms in 15859*q + 15853*q + 15857*q - 47568*q + 5. q + 5 Collect the terms in -250*h + 485*h - h**2 - 140 - 235*h. -h**2 - 140 Collect the terms in 1088150*x**2 - 228 + 249 - 1088149*x**2. x**2 + 21 Collect the terms in 223 - 3*g**2 + 185 - 632 + 224. -3*g**2 Collect the terms in -23277*q + 26200*q + 139720*q. 142643*q Collect the terms in -1 + 1 + 1594*s**3 - 2 - 803*s**3 - 834*s**3 + 1. -43*s**3 - 1 Collect the terms in -4*v**3 + 74581157 - 74581157 + 4*v**2. -4*v**3 + 4*v**2 Collect the terms in -65*x**3 + 52661*x - 105317*x + 0*x**2 + 52654*x + 0*x**2. -65*x**3 - 2*x Collect the terms in 107618*z + 5 - 2 - 119958*z. -12340*z + 3 Collect the terms in -535*z**2 - 530*z - 54*z**2 + 530*z. -589*z**2 Collect the terms in 3934*f - 641 + 13*f**2 - 7873*f + 3941*f - 12*f**2. f**2 + 2*f - 641 Collect the terms in 580*b**3 - 3477*b**3 + 577*b**3 + 573*b**3 + 580*b**3 + 562*b**3 + 579*b**3. -26*b**3 Collect the terms in 96 - 96 - 1159245*l - 199542*l. -1358787*l Collect the terms in -11*y**3 - 164*y - 162*y + 326*y - 17*y**3. -28*y**3 Collect the terms in -682*f**2 - 603*f**2 + 1046*f**2. -239*f**2 Collect the terms in 0 + 2 - 2 + 248*a**2 + 105*a**2 - 604*a**2. -251*a**2 Collect the terms in 5403*o**2 - 4497*o**2 + 1 + 12635*o**2 + 6942*o**2. 20483*o**2 + 1 Collect the terms in -170349*z + 87123*z - 2*z**2 + 83226*z. -2*z**2 Collect the terms in 268736670291848 - 6*d - 268736670291848. -6*d Collect the terms in -198*x**3 - 231*x**3 + 101*x**3 + 106*x**3 + 110*x**3 + 108*x**3. -4*x**3 Collect the terms in 24*g**2 + 1404*g + 13*g**2 - 4216*g + 1408*g + 1404*g. 37*g**2 Collect the terms in -825*a + 2921*a - 4192*a - 8332*a. -10428*a Collect the terms in -41 - 35 + 152 + 274*s**2 - 34 - 42. 274*s**2 Collect the terms in 66*j - 27*j + 34*j + 71399. 73*j + 71399 Collect the terms in 273 - z + 1 + 621. -z + 895 Collect the terms in 283*b**3 + 625 - 585*b**3 - 625 + 308*b**3. 6*b**3 Collect the terms in 9 - 960*l**2 + 0 + 1088*l + 2122*l + 1637*l. -960*l**2 + 4847*l + 9 Collect the terms in -1287*n + 86*n - 39*n - 445*n. -1685*n Collect the terms in -1652*w**3 + 4 - 4 + 905*w**3 + 894*w**3. 147*w**3 Collect the terms in 12*p**3 - 496 + 1378 - 435 - 447. 12*p**3 Collect the terms in -24 - 24 - 24 - 14 + 110 + 2*x - 11. 2*x + 13 Collect the terms in 2*j**2 - 4*j**2 - 70 + 113 - 977. -2*j**2 -
{ "pile_set_name": "DM Mathematics" }
w**4. 8*w**4 + w Expand 0*n**2 + 0*n**2 - 2*n**2 + (-1 - 3*n + 1)*(0*n + 0*n - n) + (-2 - n + 2)*(3*n + n - 2*n). -n**2 Expand (-4 + 9*k - 4 + 9)*(2*k**4 - 7*k**4 + 3*k**4). -18*k**5 - 2*k**4 Expand -10*f**5 - 4*f**5 - 9*f**5 + (2*f**4 + 4*f**4 - 4*f**4)*(-2*f - 2*f + 3*f). -25*f**5 Expand 12*h**3 - 44 + 44 + (3*h**2 - 3*h**2 + 2*h**2)*(2*h + 0*h + 0*h). 16*h**3 Expand (30*w + 95 - 95)*(-3 + 4 - 2). -30*w Expand (-3*v**2 + 0*v**2 + 4*v**2 + (2*v - 3*v + 3*v)*(2*v - 3*v + 2*v))*(2*v + 2*v + 2*v + (-3*v - 2*v + 4*v)*(-1 - 1 + 0)). 24*v**3 Expand (7 + 2*f**2 + 2 - 3)*(2 - 2 + 1). 2*f**2 + 6 Expand (0 + 7 - 6)*(9*c + 5*c + 2*c - 3*c). 13*c Expand (x**2 - x**2 - 2*x**3)*(x**2 + 2*x**2 + 4*x**2 + (-1 + 0 - 1)*(4*x**2 - 4*x**2 - x**2)). -18*x**5 Expand (-8*x + 8*x - 10*x**3)*(x + 0*x - 3*x)*(-3 + 4 - 3). -40*x**4 Expand (27*u - 27*u + 20*u**3)*(2 + 2 - 3) + (u**3 + 2*u**2 - 2*u**2)*(0 + 0 + 1) + 2 - 2 + u**3. 22*u**3 Expand -3 + 0 + 2*p - 3 + (2*p + 0*p + 0*p)*(0 + 3 - 5) - p + 0*p - p + p + 3*p - 3*p. -3*p - 6 Expand (4 - 5 - 1)*(-2 + k + 2). -2*k Expand 0*v + 3*v - 6*v + (35 + 3*v - 35)*(-1 + 5 - 1). 6*v Expand (-2*q**3 + q**3 + 2*q**3)*(-3 + 0 + 1) + q**3 - 2*q**3 + 0*q**3 - 3*q + 3*q + 2*q**3 + (-q + 5*q - 3*q)*(-327*q + 18*q**2 + 327*q). 17*q**3 Expand (3 - 1 + 0)*(12*k**2 + 12 - 12)*(-k - 2*k + 0*k). -72*k**3 Expand l**3 + l - l + (-7*l - 7 + 7)*(2*l**2 - l**2 + l**2). -13*l**3 Expand (-x**3 - 8 + 8)*(-5*x + 4*x - 4*x). 5*x**4 Expand (4 - 1 - 2)*(-2*b + 4*b - b) + (3*b - 2*b + b)*(5 - 4 - 13) + 1 - b - 1. -24*b Expand 3 - 5*v - 3 + v + v - 4*v + (1 - 3 + 1)*(3*v - 6*v + v) + 2*v + 0 + 0. -3*v Expand (0 + 0 - q)*(q + 3*q - 3*q) - 4*q**2 + 7*q**2 - 4*q**2 + (0*q - 2*q + 0*q)*(5*q - 4*q + q) + 5*q**2 - 4*q**2 + 0*q**2 + 4*q**2 - 4*q**2 + q**2. -4*q**2 Expand (-2*q**3 + 2*q**3 - 5*q**3)*(30*q + 17*q**2 - 30*q). -85*q**5 Expand (-o + 5*o + 0*o)*(0 - 4 + 2). -8*o Expand -a + a + a**4 + (4*a - 5*a + 0*a)*(3 - 3 - 2*a**3) - a**4 + 320*a - 320*a. 2*a**4 Expand (2 + 1 - 8)*(-1 + 1 + 2)*(13 + 4*t - 13). -40*t Expand y**5 + 0*y**2 + 0*y**2 + (-y**3 + y**3 + 2*y**5)*(-1 + 5 + 0) + (-2*y**2 + 2*y**4 + 2*y**2)*(7*y - 2*y - 3*y) - 3*y**5 + 3*y**5 + 2*y**5. 15*y**5 Expand -2*w**3 + w - w - 3*w**3 + 4*w**3 + w**3 + (2*w**2 - 3*w**2 + 2*w**2)*(-2 - w + 2). -w**3 Expand (-7*j**4 + 2*j**4 + 0*j**4)*(-3 + 5 + 1)*(4*j + j - 3*j)*(-3 + 3 - 2). 60*j**5 Expand (1 - 19*p + 2 - 4)*(-4*p + p + 5*p). -38*p**2 - 2*p Expand -716 + 716 - 18*u - 2*u**3 + 3*u**2 + 2*u**3 + 5*u**3 - 5*u**3 + (-2*u + 5*u - u)*(-5*u**2 + 0*u**2 + 3*u**2) - u**3 + 0*u**3 + 0*u**3. -5*u**3 + 3*u**2 - 18*u Expand (-3*k + 6*k - 2*k)*(4 + 0 + 18)*(0*k**2 - 4*k**2 + 2*k**2). -44*k**3 Expand (49 + 3*y - 49)*(0 + 0 - 2) + 2*y + y - 4*y. -7*y Expand 35*v**4 + 20*v**2 - 20*v**2 + (3*v + 2*v - 3*v)*(v - v - 2*v**3) + v**4 - v + v + 2*v**4 - 3*v**4 + 2*v**4. 33*v**4 Expand (0*f**2 + f**2 + f**2)*(f + f + 0*f) - 11*f**3 - 14*f**3 + 20*f**3. -f**3 Expand (-20*b**4 + 54*b**2 - 54*b**2)*(-b - 2*b + b). 40*b**5 Expand 2*h**2 - 5*h**2 + h + h**2 + (3 + 3 - 3)*(-6*h**2 - h**2 + 3*h**2). -14*h**2 + h Expand ((-5 + 2 + 1)*(-o - 2 + 2) + 6*o - 22 + 22 + 0*o + o + o)*(-2 + 1 + 3). 20*o Expand -p**2 + p**2 + p**2 + (-1 + 3 - 1)*(3*p**2 - 2*p**2 + p**2) + 0*p + p - 5*p + p**2. 4*p**2 - 4*p Expand (-5*l**2 + 4*l**2 - l**2)*(-l**3 - 2*l**3 + 5*l**3) + 2*l**5 + 2*l**5 - 2*l**5 - l**5 + 2*l**5 - 2*l**5 + 94*l**2 + 9*l**5 - 94*l**2. 6*l**5 Expand (-5 + 1 + 3)*(5*k + 12*k - 9*k) + (3*k + k - 6*k)*(-3 + 4 + 1) - 3*k + 3*k - 2*k + k - 2 + 2. -13*k Expand (0 - 5 + 2)*(-3 + 1 + 4)*(-1 - 5 + 2)*(g**3 + g - g). 24*g**3 Expand -31*d + 11*d + 2 - 11*d + 2*d - 2*d + 2*d + (2 + 4 - 5)*(-4 + d + 4). -28*d + 2 Expand 4*x + 6 - 6 - 5*x + 4*x + 3*x + (2*x - x - 2*x)*(-2 + 3 - 3) - 4*x - x + 6*x. 9*x Expand (-2*h + 4*h + 0*h)*(5 - 1 - 5 + 2 + 1 - 1 + (-1 - 1 + 1)*(-2 - 2 + 2) - 2 + 1 + 4). 12*h Expand (5*g + 7 - 7)*(-g**2 - 3*g**2 + 2*g**2)*(-2*g - 2*g + 3*g). 10*g**4 Expand (4*r - 5*r - r)*(5*r - 2*r - 4*r) - 2 + 2 - r**2 + (-9 + 9 - 3*r)*(-1 + r + 1). -2*r**2 Expand (-10 + 10 - o)*(3 + 2 - 1). -4*o Expand (-4 + 0 + 5)*(-r**4 + r - r) + (0*r + 0*r - 2*r**3)*(-3*r + 0*r + 4*r) - 5*r**3 + 4*r**4 + 5*r**3. r**4 Expand (0 - m**3 + 0)*(-1 + 4 - 4)*(-2 + 4 - 1)*(1 - 1 + 1). m**3 Expand -39*m**2 + 68*m**2 + 62*m**2 - 1 + 1 - 2*m**2 + 2*m**2 - 4*m**2 + m**2 + (-m + 0*m - m)*(5*m - 5*m + 2*m) - 2*m + 2*m + 2*m**2. 86*m**2 Expand (0*i + 3*i + 10*i)*(4 - 3 + 0). 13*i Expand ((2 + 1 - 7)*(0 + 0 - 2) + (-2 + 5 - 1)*(2 + 5 - 5) + 2 - 1 - 2)*(-2*m**5 + 3*m**2 - 3*m**2). -22*m**5 Expand (-2 + 0 + 1)*(j - 5*j + 12*j). -8*j Expand -3 + 3 + 2*g + (3*g + 0*g - g)*(-2 - 3 + 4) - 1 - 2*g + 1 + 16*g - 2*g - 2*g. 10*g Expand -2*t + 0*t + 0*t - t - 3*t + 3*t + 0*t - t - t + (-2 + 3 + 0)*(-3*t + 2*t - t) - 1 + 1 - 2*t + (-t + t - t)*(-12 + 13 - 3). -7*t Expand j**3 + 2*j**3 - 4*j**3 + j**3 + j**3 - j**3 + (2 - 2 - 2*j)*(j + 2*j**2 - j) - j + 2*j**3 + j. -2*j**3 Expand (-3*k + 6*k - 4*k)*(4*k**2 - 2*k**2 - k**2) - 3*k**3 - k**3 + 3*k**3 + (9*k - 3*k - 2*k)*(0*k**2 + 2*k**2 + 0*k**2). 6*k**3 Expand 326*u - 410*u + 2 - 2 + (-3*u + 2*u + 2*u)*(1 - 1 + 2). -82*u Expand (d + 3*d**2 + 0*d + 4*d**2)*(4 + 4*d - 4). 28*d**3 + 4*d**2 Expand (2*l - 3*l + 2*l + 2*l - 2*l + l + (3*l + l - 6*l)*(-5 + 1 + 2))*(-1 - 1 + 4)*(2*l**3 + l**4 - 2*l**3). 12*l**5 Expand (1 + 0 + 3)*(-4*m - m + 3*m)*(0 + 0 + 2). -16*m Expand (1 - 1 + o)*(-2 + 3*o**2 - 3*o**2 + o**4). o**5 - 2*o Expand (55 - 55 + 2*w)*(4*w**2 - 5*w**2 - w**2)*(0 - 3*w + 0). 12*w**4 Expand 3*y**5 - 2*y**5 + 2*y**5 + (2*y**2 + 2 - 2)*(2 + y**3 - 2) + (3*y - 3*y + y)*(-y**4 + y**4 + y**4). 6*y**5 Expand (r**2 + 3*r**2 - 2*r**2)*(-r**2 + 3*r**2 - r**2) - 191 - 16*r**4 + 191 + (0 + 2*r**3 + 0)*(0*r + r + r). -10*r**4 Expand (d**2 + 3*d - 3*d)*(0 - 1 - 1) + (4*d - 4*d - 3*d)*(2*d + 1 - 1). -8*d**2 Expand (2*p**3 - p**3 + p**3)*(p + 2*p + p) - 3*p**4 + p**4 + 3*p**4. 9*p**4 Expand (1 - 3 + 0)*(2*c**4 + 0*c**4 + c**3 + 0*c**3). -4*c**4 - 2*c**3 Expand -3*i**4 + 6*i**5 - 2*i**5 - 2*i**5 + 2*i**5 - 3*i**5 + 0*i**5 + (10*i**4 + 0*i**4 - 3*i**4)*(5*i + 3*i - 6*i). 15*i**5 - 3*i**4 Expand -2*x - x + x + (4*x + 3 - 3)*(5 - 5 + 1) + (-2*x + 0*x + 0*x)*(-4 + 6 + 0). -2*x Expand (1 + 5 - 4)*(2*z**5 - 2*z**5 + z**5) + 3*z + 2*z**5 - 3*z + (20 - 20 - 7*z)*(-1 + 2*z**4 + 1). -10*z**5 Expand (3 - 4 + 3)*(0*u + u + 0*u) - 2*u + 2*u + 2*u + 8 - 2 - 9 - u. 3*u - 3 Expand -2*m**4 - 2*m**4 - m**4 + (-2*m - 3*m + 7*m)*(-2*m + 0*m + 0*m)*(-3*m + 3*m - m**2). -m**4 Expand (-31 + 27 - 39)*(-a + a + 2*a**4). -86*a**4 Expand -2*f**2 - 2*f - 4*f**2 + 5*f**2 + (1 - f - 1)*(-f + 0*f + 0*f) - f + f - 2*f**2. -2*f**2 - 2*f Expand (-1 + 8 + 1)*((1 - 1 - 2)*(w - w - w) + 0*w - 2*w + w + (-w + 1 - 1)*(1 + 0 + 0) - 2 + 2 - w). -8*w Expand (-2*y**3 + 0*y**3 + 3*y**3)*(y**2 - 3*y**2 + 0*y**2) - 6*y - 6*y**5 + 5*y**5 + 17*y. -3*y**5 + 11*y Expand -3*i + 3*i - 2*i + i**2 + (4*i + 2*i - 4*i)*(3*i + 2*i - 3*i). 5*i**2 - 2*i Expand 26*t - 54*t + 7*t**2 + 30*t + (-1 + 2*t + 1)*(3*t - 3*t + 2*t). 11*t**2 + 2*t Expand (-3 + 5 + 7)*(-3 + 4 + 1)*(2 - 1 + 1)*(-x - 1 + 1). -36*x Expand (4*j - j - 2*j)*(4*j**4 - 9*j**4 - 3*j**4). -8*j**5 Expand (-r + 0*r + 0*r)*(-5 - 3 + 2). 6*r Expand (-10*y**2 + 5*y + 2*y**3 + 8*y**2 + 7*y)*(-3 - y + 3). -2*y**4 + 2*y**3 - 12*y**2 Expand (-s - s - 3 + 0*s)*(2*s - 1 + 0*s + 0). -4*s**2 - 4*s + 3 Expand (-2*o**2 - 3*o**2 + 4*o**2)*((-4 - 2*o + 4)*(2 + 2*o - 2) + 3*o**2 + 24*o - 24*o) + 1 + 2*o**4 - 1. 3*o**4 Expand (-1 - 3 + 3)*(0 + 0 + n)*(2 - 3 + 2) - 2*n - 3*n + 3*n + (-1 + 0 + 3)*(0 - n + 0) + 0 + 0 - 2*n. -7*n Expand -m**5 - 2*m**5 + 6*m**5 - 2*m**5 + 6*m**5 - 2*m**5 + (0 + 0 + m)*(-4*m**4 + 3*m**4 + 3*m**4) - 4 + 4 - m**5. 6*m**5 Expand (2*a + a - 4*a)*(-3 - 2*a + 3) - 4*a**2 + 2*a**2 - a**2 - 2*a**2 + 2*a**2 - 4*a**2. -5*a**2 Expand ((-5*j + 0*j + 6*j)*(5 + 0 - 4) + j + 0 + 0)*(10 + 21 - 3). 56*j Expand 13 - 13 + s**4 + (-2*s**3 + 0*s**3 + 3*s**3)*(-2*s - 1 + 3 - 4). -s**4 - 2*s**3 Expand (-4 - 3 + 2)*(-2*v - 2 + 2)*(-2*v**3 + 2*v**3 - 2*v**3). -20*v**4 Expand 0*m**3 + 2*m**3 - 3*m**3 + (m - 2*m + 2*m)*(2*m**2 + 0*m**2 + 0*m**2) + 11 - 11 + 3*m**3 + 2*m**3 + 0*m**2 + 0*m**2 - m**3 + 6*m**3 - 4*m**3. 7*m**3 Expand (-p**2 - p**2 - p**2)*(
{ "pile_set_name": "DM Mathematics" }
(c) -2/7 (d) -335 (e) 0.05 e What is the second smallest value in -0.2, -0.4, -1, 45, 77, 1? -0.4 Which is the third biggest value? (a) -156 (b) 2/841 (c) 3/2 a Which is the second smallest value? (a) -3/7 (b) 0.2 (c) 2/13 (d) -45 (e) -1/22 a Which is the second smallest value? (a) 10 (b) 58 (c) 9/2 a What is the second biggest value in -4, 179, 309? 179 Which is the fourth biggest value? (a) 612 (b) -4 (c) -33 (d) 3/5 (e) -2 b Which is the fourth smallest value? (a) -4/3 (b) 17.22 (c) 0.2 (d) -1 (e) 5 e Which is the third smallest value? (a) 979 (b) 1 (c) 28/9 a Which is the fifth biggest value? (a) 323.7 (b) -2 (c) -2/11 (d) 2/7 (e) -3 (f) -2/15 b Which is the second smallest value? (a) -170/9 (b) -3 (c) -5 c What is the third smallest value in 6, 0.08, -1/4, 0.06, 34? 0.08 What is the fourth smallest value in -3/8, -4/7, 38, 4, -0.3, -1? -0.3 What is the second smallest value in 160, -6/7, -3/5? -3/5 What is the fifth biggest value in -1/11, 0.56, 0.05, -5, 0.8, 1/2? -1/11 What is the fourth smallest value in -8, 0.1, 4, 0.3, 210/13, -7? 0.3 What is the fourth smallest value in 23/4, -8078, -0.1, 0.3? 23/4 Which is the second smallest value? (a) 52 (b) -1/5 (c) -0.4 (d) 5 (e) -0.1 (f) -1 c What is the third biggest value in 1/3, -392/11, 0.2, -3/2? -3/2 What is the third smallest value in 2/107, 0.5, -0.2, 4? 0.5 Which is the fourth biggest value? (a) 2/7 (b) 2 (c) 1.99 (d) 1 (e) 0.04 a Which is the smallest value? (a) 2/3 (b) 0.4 (c) 5 (d) 18 (e) -0.3 e Which is the third biggest value? (a) -0.098 (b) 0 (c) 0.0222 (d) -5/3 a What is the second biggest value in 2/9, 2/313, -3, -0.4, 0.4, 0.1? 2/9 What is the sixth biggest value in 1, -0.3, 4/7, 0, -198, 1/9? -198 What is the third biggest value in 3, -2.4, 2, 490? 2 Which is the third biggest value? (a) 2/5 (b) -2/9 (c) -24 (d) 2/3 (e) -4/5 (f) -5 b What is the sixth biggest value in -2/5, -6, 3/2, 0.2, -0.03, -6/11? -6 What is the second smallest value in 0, -65, 1/24, -0.5? -0.5 Which is the second biggest value? (a) 2/7 (b) -5544 (c) 4 (d) -2/5 a What is the smallest value in -76, -6.2, -4, 3, -0.4, 0.1? -76 Which is the third biggest value? (a) -3 (b) 1480 (c) -33 c Which is the second smallest value? (a) 3 (b) -0.13817 (c) 4 a What is the fifth biggest value in 0.2, 57, -0.4, 103, -5? -5 What is the fourth biggest value in 0.3, -2/5, -3, 527? -3 What is the third biggest value in -0.31, 2/3, -0.4, 0, 2/27? 0 What is the second smallest value in -8/38467, -5/3, -3.4? -5/3 What is the smallest value in -3, -1007, 7/4? -1007 Which is the smallest value? (a) -0.4 (b) 5 (c) -0.2 (d) 23756 (e) -0.3 (f) 0.5 a Which is the third biggest value? (a) 3 (b) 0.4 (c) 0.04 (d) 14 b Which is the second smallest value? (a) -1/6 (b) -28885 (c) 5 a What is the second biggest value in -5, -4, 1.7004, -3? -3 Which is the fourth biggest value? (a) 16 (b) -18 (c) -4 (d) 4 (e) 0.3 c What is the smallest value in 1/4, 2/7, -0.299786, 0.5? -0.299786 Which is the third biggest value? (a) -0.284 (b) -3 (c) -13 (d) 2/7 (e) -5 b Which is the third biggest value? (a) 0 (b) 3 (c) 11 (d) 0.26 (e) 0.3 (f) -2/3 e What is the third biggest value in -7, -0.0552, 5? -7 Which is the fourth smallest value? (a) -5 (b) 79/38 (c) -2/3 (d) -55 b Which is the smallest value? (a) -4 (b) 338.6 (c) 2 (d) 0.5 (e) 0.4 (f) 4/7 a What is the biggest value in -1/2, -1.8, -1/33? -1/33 Which is the third smallest value? (a) -20 (b) 2 (c) -19 (d) -1 (e) 3 d Which is the biggest value? (a) 17/5 (b) -2 (c) 0 (d) -4 (e) -5 (f) -81.5 a Which is the second biggest value? (a) 3 (b) -70/81 (c) 0.3 (d) -4/7 c What is the biggest value in -0.4, -13, 6463? 6463 Which is the fifth biggest value? (a) -10 (b) -3 (c) -3/2 (d) -2/1373 (e) 7/6 a Which is the fourth smallest value? (a) 0.3 (b) -3/4 (c) 599 (d) 0.2 c What is the smallest value in 13.1, 1.71, 1/4? 1/4 What is the biggest value in 2/183, 8, 0.5, -0.1, -3? 8 What is the second biggest value in -0.8, 13, 378/5, -0.3? 13 What is the fifth smallest value in 3/5, 2/11, 1, -0.187, 0.2? 1 What is the second smallest value in -1.5, 982, 1? 1 Which is the smallest value? (a) -4/3 (b) -0.02739 (c) -1/2 a What is the biggest value in 28, -4, 81200? 81200 What is the biggest value in -0.5, -4, -3/5, 0.4, -1/1192? 0.4 What is the fourth biggest value in -3, -14, 333, -2/11, 2? -3 Which is the fourth smallest value? (a) 1 (b) -175 (c) 0.3 (d) -2 (e) 20/11 (f) -0.4 c What is the third smallest value in 1759, 0.03, 0? 1759 Which is the third smallest value? (a) -3764 (b) 0 (c) 2 (d) 5 (e) -1 b What is the biggest value in 34, -2.1, 0.5, -2/13, 0? 34 Which is the smallest value? (a) -4/3 (b) -4.3 (c) 5 b Which is the fourth biggest value? (a) -24.045 (b) 2 (c) -5 (d) 0 a What is the second biggest value in -6947, -1/4, 0? -1/4 What is the third biggest value in -9, 395.7, 2? -9 Which is the biggest value? (a) 2/523 (b) 0.2 (c) 2/323 b What is the smallest value in 47/5, -14, 1/13? -14 Which is the fourth biggest value? (a) -3.6 (b) 2/15 (c) -1.2 (d) -0.84 (e) -0.5 c What is the third smallest value in -2/5, -10, -3/19, 3, 0.1? -3/19 What is the third smallest value in -1, 5, -0.2, 3.24, -0.07, -14? -0.2 What is the fourth smallest value in 5, 2.417, 4, -1/4? 5 What is the third biggest value in 1.88, -67/2, 8? -67/2 What is the fourth biggest value in 3, -5693, -2/9, 6? -5693 What is the biggest value in -49, 1/4, -4.6, -4? 1/4 Which is the third biggest value? (a) 2/7 (b) 5 (c) 0.4 (d) 1293/20 (e) -4 c Which is the second biggest value? (a) -1.7 (b) -0.1 (c) 0.2 (d) -10460 (e) -0.2 b Which is the biggest value? (a) 5 (b) -4/5 (c) -6512 a What is the second smallest value in 717/8, -0.2, 1, 3/4, 3/2? 3/4 What is the second biggest value in -4, -0.148, -21/50? -21/50 Which is the third biggest value? (a) 0.5 (b) -133 (c) -67/2 (d) -5 c Which is the smallest value? (a) 0.8 (b) 1/7 (c) -21204 c What is the smallest value in -2/19, 0.02, -14, -17/2, -4? -14 Which is the second biggest value? (a) 2/5 (b) 292 (c) -4/5 (d) 5 (e) 0.049 d What is the second smallest value in -2, -5/3, -1.8, -3, 5.8? -2 What is the biggest value in -0.17, -0.5, 1/9, -1/7, -5, 10/13? 10/13 What is the third biggest value in 0, -3/10, -28, -18, 1? -3/10 What is the second smallest value in 0.012, 9, 6, -5, -1/2? -1/2 What is the third biggest value in 0.002, -44, -0.4, -4? -4 Which is the third smallest value? (a) 9130 (b) 0.5 (c) 0 a What is the third biggest value in -0.4, 66148, 3, -0.1? -0.1 What is the fourth biggest value in 2, -678, 0, -0.5, 1, 4? 0 What is the second biggest value in 2/17, 3/106, -420/13? 3/106 Which is the second smallest value? (a) -7 (b) 2/5 (c) 4.1 b What is the second biggest value in -93855, -5, -2/9? -5 What is the second biggest value in 89, -4, -1/3, -2/5, -17/8? -1/3 Which is the biggest value? (a) -4 (b) 1 (c) 162/23 c Which is the second smallest value? (a) -1 (b) 1 (c) -0.5 (d) 2 (e) 1154 c What is the smallest value in 0.2767, -6, 4, 0.1, -4? -6 What is the fourth smallest value in 8, -306, 0.81, -0.3? 8 What is the sixth biggest value in -1, -2/11, 2/9, 0.2, -0.2, -2432? -2432 Which is the third smallest value? (a) -1/16 (b) 4 (c) -172 (d) 1 (e) 24 d Which is the second biggest value? (a) -3/5 (b) -2/17 (c) -120 (d) 5 b Which is the fourth smallest value? (a) 3 (b) -4 (c) -18/5 (d) -1/26 a What is the second smallest value in 4, -6, -2/191, -0.4? -0.4 What is the fifth biggest value in 2/9, -3, 0.3, -5, -577? -577 What is the biggest value in 23/102, 2/11, -2, 7/6? 7/6 What is the fourth smallest value in -255, -4, -188, -2/11, 0.2? -2/11 Which is the second smallest value? (a) 168674 (b) -3 (c) 1/7 c Which is the third biggest value? (a) 2 (b) -0.4 (c) -590 (d) 3/4 b What is the second smallest value in 0.2, 1, 2/7, -1.2955? 0.2 What is the second biggest value in 5, 1/2022, -2? 1/2022 Which is the fourth smallest value? (a) 34/7 (b) 0.9 (c) 0.4 (d) -5 a What is the fourth smallest value in -3, -0.488, 2, -6? 2 What is the second biggest value in -4, -3, -233, 72? -3 Wh
{ "pile_set_name": "DM Mathematics" }
rentiate 7454*k - 34416 wrt k. 7454 What is the second derivative of 5138748*h**3 - 4431115*h wrt h? 30832488*h Find the second derivative of -1070833*z**3 + 621169*z. -6424998*z What is the third derivative of -585381*s*w**3 + s*w**2 - 41*s + 559*w**2 wrt w? -3512286*s What is the second derivative of 60160*p**4 - 50891*p wrt p? 721920*p**2 Differentiate -3800*g**3 - 11*g**2 + 818977 with respect to g. -11400*g**2 - 22*g What is the second derivative of 162087*k**2 + 6265*k + 2? 324174 Find the second derivative of 1555231*y**3 + 7*y - 31246 wrt y. 9331386*y Find the second derivative of -604313*i**2*x + 415088*i*x wrt i. -1208626*x Find the third derivative of -4611670*p**3 + 3798899*p**2. -27670020 Find the third derivative of 11773*c*y**3 + 7591*c*y**2 + c - 3*y**4 wrt y. 70638*c - 72*y Find the third derivative of 969872*i**3 + 8*i**2 - 3*i + 8580 wrt i. 5819232 Find the second derivative of 1113*y**5 - 9*y**2 - 12452*y wrt y. 22260*y**3 - 18 What is the second derivative of -60*r**4 - 28*r**3 - 37*r**2 + 630*r + 7 wrt r? -720*r**2 - 168*r - 74 Find the first derivative of -24*p**3 - 2710*p + 374868 wrt p. -72*p**2 - 2710 What is the second derivative of -22761*f**2*s**2 - 2*f**2 + 23698*f*s**2 + s**2 wrt f? -45522*s**2 - 4 Find the third derivative of 20003*l*t**3 + 79*l*t**2 - l + 89*t**2 wrt t. 120018*l Find the third derivative of 546933*n**6 + 15*n**2 - 4066 wrt n. 65631960*n**3 Differentiate -9*h*u + 32201*h + 267*u with respect to u. -9*h + 267 What is the second derivative of -410*f*h**2 - 1287*f*h - 3*f + 101*h**2 - 63 wrt h? -820*f + 202 What is the second derivative of 2*l*u**3 + 2*l*u - 2*l - 142*u**4 + 339*u**2 - 300349*u wrt u? 12*l*u - 1704*u**2 + 678 What is the third derivative of -9*l**6 + 2315*l**3 + l**2 - 8580*l - 1? -1080*l**3 + 13890 Find the second derivative of -2069134*h**2 - 3605314*h wrt h. -4138268 What is the derivative of -782*k**4 + 4*k**2 - 16080? -3128*k**3 + 8*k Find the third derivative of 8*a**6 + 32*a**5 - 3*a**3 - 42869*a**2 wrt a. 960*a**3 + 1920*a**2 - 18 Find the third derivative of 22690*d*j**3 + 784*d + 44*j**2 wrt j. 136140*d Find the second derivative of -6*d*n**2 - 3182*d*n + 594*n**2 - 20*n wrt n. -12*d + 1188 Find the second derivative of 2*l**2*w**2 + l**2 - 58737*l*w**2 + 14*l*w - 2*w**2 + 79*w wrt w. 4*l**2 - 117474*l - 4 Find the second derivative of 282847*x**4 + 386*x + 273 wrt x. 3394164*x**2 What is the second derivative of -35*y**4 + y**3 + 150*y**2 - 10*y + 1603? -420*y**2 + 6*y + 300 Find the first derivative of 346908*t**3*z - 22*t**3 + 88*t - 34 wrt z. 346908*t**3 What is the second derivative of -47766*x**2 - 918*x + 15 wrt x? -95532 Find the second derivative of -664252*l**2 - 505855*l wrt l. -1328504 Find the second derivative of 307061*y**5 + 319564*y. 6141220*y**3 What is the second derivative of -6*n**5*y**2 - 1603*n**2*y**2 - 214*n*y**2 - 6*n + 2*y**2 + 2*y wrt n? -120*n**3*y**2 - 3206*y**2 Find the third derivative of -111091*g**4 + 209190*g**2 wrt g. -2666184*g What is the second derivative of 122011*i**4 + 191809*i wrt i? 1464132*i**2 Find the second derivative of -523845*a**5 - 263149*a + 1. -10476900*a**3 What is the first derivative of 288675*v**4 - 182640? 1154700*v**3 Find the second derivative of 32*m**4 + 144*m**3 + 5145*m + 49 wrt m. 384*m**2 + 864*m Find the third derivative of -16*s*u**3 + 50702*s - 98314*u**5 - u**2 + 2 wrt u. -96*s - 5898840*u**2 Find the second derivative of 28214*s*v**4 + s*v - 2*s - 12990*v wrt v. 338568*s*v**2 Find the second derivative of -2609825*u**4 + 2668173*u. -31317900*u**2 Find the third derivative of 11*t**5*x + 891*t**5 - 2*t**3 - 4*t**2*x + 14436*t*x wrt t. 660*t**2*x + 53460*t**2 - 12 What is the second derivative of 399*g**5 - g**3 - 10*g**2 + 4*g + 11254 wrt g? 7980*g**3 - 6*g - 20 Differentiate -37*u**4 + 18440*u**2 - 560442. -148*u**3 + 36880*u What is the second derivative of 14000*x**5 - x**3 - x**2 + 2529*x + 4 wrt x? 280000*x**3 - 6*x - 2 What is the derivative of 200873*b**4 - 314554? 803492*b**3 Find the third derivative of 21*x**6 - 450*x**5 + 2*x**4 - 2299*x**2 + 8 wrt x. 2520*x**3 - 27000*x**2 + 48*x Find the second derivative of 3*c*g*j**2 + c*g*j - 24*c*g - c*j + 52*g*j**2 + 81*g + 124*j**2 wrt j. 6*c*g + 104*g + 248 What is the second derivative of d**2*o*v**3 + 5*d**2*o + 2*d**2*v**3 + 318*d**2 - 6*d*o*v + 6*d*v**3 + 9*d*v**2 - 3*d + 2*v**3 wrt d? 2*o*v**3 + 10*o + 4*v**3 + 636 What is the second derivative of 5*i**3*y - 16*i**2*n - 53*i**2*y + 2*i*n*y - 34*i*n wrt i? 30*i*y - 32*n - 106*y Differentiate 37*a**4 + 2*a**3 + 4147*a - 3384013 with respect to a. 148*a**3 + 6*a**2 + 4147 Find the second derivative of -475293*h*u**2 + 2*h*u + 25*h - 27*u + 1 wrt u. -950586*h What is the second derivative of 242027*l**4 - 1812682*l wrt l? 2904324*l**2 What is the second derivative of 2*n*u**2 - 17*n*u - n - 83*u**3 + 6*u**2 - u - 48 wrt u? 4*n - 498*u + 12 What is the third derivative of 1357*q**4 + 88*q**2 - q + 14? 32568*q What is the third derivative of 150896*h**3 + 151*h**2 + 2643? 905376 Find the second derivative of -95302*i**4 + 140*i + 156. -1143624*i**2 What is the second derivative of -2734*n**2*v*x + 33*n**2*x**2 - 6313*n*v*x**2 - n + 4*v + 2*x**2 wrt n? -5468*v*x + 66*x**2 Find the third derivative of -464918*b**2*p**2*q**4 + 64*b**2*p**2*q**2 + b**2*p*q**2 - b + 165*q**2 wrt q. -11158032*b**2*p**2*q What is the third derivative of 28666*d**5 + 405*d**2 - 25? 1719960*d**2 What is the second derivative of 27*a**4 + 34532*a**2*b**3 + 1841311*a*b**3 + 2*b**3 wrt a? 324*a**2 + 69064*b**3 Find the third derivative of 2*g**5 + 221436*g**4 - 2*g**2 - 4316*g - 7 wrt g. 120*g**2 + 5314464*g What is the second derivative of 1449940*q**2 - 174*q - 1942 wrt q? 2899880 Find the third derivative of -158417*r**5 + 4*r**2 - 40496. -9505020*r**2 Find the second derivative of -487953*t**4 - 209969*t. -5855436*t**2 Find the third derivative of 2*i**5*q + 3459*i**4*q + 5*i**3*q + 475*i**2*q + 24*i**2 + 2*i*q wrt i. 120*i**2*q + 83016*i*q + 30*q What is the derivative of 59470*y - 16368? 59470 Find the third derivative of 4*b**3*t**4 - 16*b**3*t**2 + 12269*b**2*t**2 - 146787*b*t**3 + t**5 wrt t. 96*b**3*t - 880722*b + 60*t**2 What is the third derivative of 16*a**5 - 2756*a**3 - 2*a**2 + 63821*a + 2? 960*a**2 - 16536 What is the third derivative of 137*m**4 + 579*m**3 - 122407*m**2 - 4*m wrt m? 3288*m + 3474 What is the third derivative of 810139*l**3 + 1054462*l**2 wrt l? 4860834 Differentiate 46*g*m*o**2 + 1320*g*m - 5*g + 216*o**2 - 3*o + 1 wrt m. 46*g*o**2 + 1320*g Find the third derivative of 2*g**4*s - 166885*g**3*s + g**3 + 639*g**2*s + 5*g + 49 wrt g. 48*g*s - 1001310*s + 6 Find the third derivative of -2*f*s**2*v**3 - 6*f*s + 20045*s**2*v**3 - s**2*v**2 - 5*s**2 - s - 83*v wrt v. -12*f*s**2 + 120270*s**2 What is the third derivative of 178365*m**3 + 9*m**2 + 205*m - 4 wrt m? 1070190 What is the first derivative of 2594*g**4 + 8*g**3 + 2*g**2 + 62863 wrt g? 10376*g**3 + 24*g**2 + 4*g What is the second derivative of -334*o**3*x**2 + o**3*x - 3*o**3 - 8*o**2*x**2 + o**2*x + x**2 + 1915*x wrt x? -668*o**3 - 16*o**2 + 2 What is the second derivative of 443673*u**2 + 468044*u? 887346 Differentiate 60*q**3 + 3*q**2 - 5*q - 42691. 180*q**2 + 6*q - 5 Find the second derivative of -57517*w**3 - 28819*w + 7 wrt w. -345102*w What is the third derivative of 143569*i*s**3 - 235*i*s - 2*s**2 + 39 wrt s? 861414*i What is the second derivative of -y**5 + 1098*y**4 - 16*y**2 - 164699*y? -20*y**3 + 13176*y**2 - 32 What is the second derivative of 2508*v**3*z**4 - 10*v**3*z + v**3 + 3*v**2*z + 30*v - 108*z**4 wrt z? 30096*v**3*z**2 - 1296*z**2 Find the third derivative of -37066*l**3 + 2*l**2 + 2*l - 36848 wrt l. -222396 Find the second derivative of 3273*x**3 - 13418*x. 19638*x What is the third derivative of -11*i**5 - 910*i**4 - 2*i**2 + 1912*i - 18? -660*i**2 - 21840*i What is the second derivative of -3989*d**5 + 7*d**4 - 10*d + 3072? -79780*d**3 + 84*d**2 What is the second derivative of 1906661*o**3 - 5*o - 10439? 11439966*o Differentiate -3*b**3 - 4*b**2*d + 31499*b**2 - 3177778*d wrt b. -9*b**2 - 8*b*d + 62998*b What is the third derivative of -67*r**4*v**2 - 1082*r**4 + 163*r**2 - 251*r*v**2 wrt r? -1608*r*v**2 - 2596
{ "pile_set_name": "DM Mathematics" }
when 813920 is divided by 271306. 2 What is the remainder when 962256 is divided by 1344? 1296 What is the remainder when 182407 is divided by 124? 3 Calculate the remainder when 790779 is divided by 379. 185 Calculate the remainder when 1533712 is divided by 766754. 204 Calculate the remainder when 3828926 is divided by 16. 14 What is the remainder when 47412 is divided by 5003? 2385 Calculate the remainder when 15422296 is divided by 38. 34 What is the remainder when 325145 is divided by 213? 107 What is the remainder when 163071 is divided by 32613? 6 Calculate the remainder when 35006518 is divided by 60. 58 What is the remainder when 28029736 is divided by 74? 16 Calculate the remainder when 1724640 is divided by 7875. 15 Calculate the remainder when 7300 is divided by 2623. 2054 Calculate the remainder when 15421164 is divided by 116. 8 What is the remainder when 62298890 is divided by 313? 309 What is the remainder when 371210 is divided by 370? 100 What is the remainder when 1014366 is divided by 507170? 26 Calculate the remainder when 314107 is divided by 5. 2 Calculate the remainder when 386488 is divided by 957. 817 Calculate the remainder when 12972785 is divided by 216213. 5 What is the remainder when 11127152 is divided by 65? 62 Calculate the remainder when 1154749 is divided by 33. 13 What is the remainder when 529277 is divided by 264208? 861 Calculate the remainder when 39171205 is divided by 51. 43 What is the remainder when 16791370 is divided by 1253? 1170 Calculate the remainder when 9259181 is divided by 97. 46 Calculate the remainder when 47524711 is divided by 380. 11 Calculate the remainder when 13663693 is divided by 16. 13 Calculate the remainder when 4509003 is divided by 11. 4 Calculate the remainder when 256060069 is divided by 70. 69 What is the remainder when 41055 is divided by 3423? 3402 Calculate the remainder when 7591318 is divided by 220. 218 What is the remainder when 36165125 is divided by 8436? 8429 Calculate the remainder when 1226242 is divided by 2089. 2088 Calculate the remainder when 1138151 is divided by 8309. 8127 What is the remainder when 8186340 is divided by 122? 18 What is the remainder when 50659 is divided by 1953? 1834 What is the remainder when 9438887 is divided by 45161? 238 Calculate the remainder when 10596191 is divided by 1228. 1007 Calculate the remainder when 20061539 is divided by 1746. 1745 What is the remainder when 20166475 is divided by 165? 10 Calculate the remainder when 85358960 is divided by 37. 34 Calculate the remainder when 413513 is divided by 32. 9 Calculate the remainder when 2030835 is divided by 126927. 3 What is the remainder when 33826521 is divided by 507? 495 What is the remainder when 1654212 is divided by 10208? 516 Calculate the remainder when 303302 is divided by 1410. 152 What is the remainder when 10506889 is divided by 3373? 3367 What is the remainder when 680136 is divided by 2699? 2687 What is the remainder when 4176704 is divided by 2118? 8 Calculate the remainder when 1049728 is divided by 156. 4 Calculate the remainder when 1991468 is divided by 3983. 3951 Calculate the remainder when 8549007 is divided by 31315. 12 Calculate the remainder when 5843614 is divided by 284. 30 What is the remainder when 86942 is divided by 12420? 2 What is the remainder when 310857 is divided by 729? 303 Calculate the remainder when 457028 is divided by 2991. 2396 Calculate the remainder when 143104 is divided by 142692. 412 Calculate the remainder when 17415 is divided by 4077. 1107 What is the remainder when 870957 is divided by 73? 67 Calculate the remainder when 307294 is divided by 1491. 148 Calculate the remainder when 135072 is divided by 44817. 621 What is the remainder when 5988747 is divided by 1597? 1594 Calculate the remainder when 5230146 is divided by 237. 30 What is the remainder when 679892 is divided by 339484? 924 What is the remainder when 116873 is divided by 919? 160 Calculate the remainder when 120559 is divided by 1526. 5 What is the remainder when 4440882 is divided by 2283? 447 Calculate the remainder when 25246 is divided by 4167. 244 What is the remainder when 2543587 is divided by 2308? 171 Calculate the remainder when 1279255389 is divided by 6542. 6541 Calculate the remainder when 45894 is divided by 3392. 1798 Calculate the remainder when 13100 is divided by 3199. 304 Calculate the remainder when 5842357 is divided by 884. 1 Calculate the remainder when 220601094 is divided by 20. 14 What is the remainder when 2466373 is divided by 1928? 461 What is the remainder when 849853 is divided by 325? 303 Calculate the remainder when 43565005 is divided by 4840555. 10 Calculate the remainder when 1322270494 is divided by 76. 74 Calculate the remainder when 9267271 is divided by 842472. 79 What is the remainder when 238779 is divided by 121? 46 What is the remainder when 16153670 is divided by 252401? 6 What is the remainder when 1158167 is divided by 2298? 2273 What is the remainder when 2197068 is divided by 94? 6 What is the remainder when 205525 is divided by 65? 60 Calculate the remainder when 44278240 is divided by 4195. 15 Calculate the remainder when 3450651 is divided by 8355. 36 What is the remainder when 7090 is divided by 308? 6 Calculate the remainder when 188023 is divided by 187990. 33 What is the remainder when 196097 is divided by 65362? 11 What is the remainder when 4440110 is divided by 9407? 6 What is the remainder when 3546238 is divided by 1205? 1128 What is the remainder when 97046099 is divided by 81? 80 Calculate the remainder when 240515804 is divided by 807100. 4 Calculate the remainder when 279844074 is divided by 43. 31 Calculate the remainder when 8237616 is divided by 10. 6 What is the remainder when 13344286 is divided by 946? 10 What is the remainder when 148408 is divided by 24573? 970 What is the remainder when 88740980 is divided by 4437048? 20 Calculate the remainder when 38959355 is divided by 17. 13 Calculate the remainder when 2729666 is divided by 68. 10 Calculate the remainder when 38966777 is divided by 1471. 1458 Calculate the remainder when 121974 is divided by 14. 6 What is the remainder when 27078661 is divided by 1699? 1698 Calculate the remainder when 6372088 is divided by 10. 8 What is the remainder when 34779043 is divided by 34779039? 4 Calculate the remainder when 2671375 is divided by 219. 13 What is the remainder when 153066818 is divided by 2149? 2144 Calculate the remainder when 608977 is divided by 137. 12 What is the remainder when 19945729 is divided by 581? 580 Calculate the remainder when 70959 is divided by 4172. 35 Calculate the remainder when 225869 is divided by 1086. 1067 Calculate the remainder when 334723 is divided by 402. 259 What is the remainder when 2714693 is divided by 303? 116 Calculate the remainder when 69256796 is divided by 21. 14 Calculate the remainder when 526782 is divided by 37627. 4 What is the remainder when 8436836 is divided by 40? 36 Calculate the remainder when 825583 is divided by 3535. 1928 Calculate the remainder when 11887936 is divided by 19. 16 What is the remainder when 229716 is divided by 4253? 54 What is the remainder when 642833 is divided by 214248? 89 What is the remainder when 4579404 is divided by 1526468? 0 Calculate the remainder when 204742 is divided by 51164. 86 What is the remainder when 240402 is divided by 17133? 540 What is the remainder when 72116 is divided by 5270? 3606 Calculate the remainder when 109169124 is divided by 105. 99 What is the remainder when 2255932 is divided by 151? 143 What is the remainder when 137859 is divided by 137763? 96 Calculate the remainder when 81584931 is divided by 188854. 3 Calculate the remainder when 109550 is divided by 2989. 1946 Calculate the remainder when 8721411 is divided by 793. 790 Calculate the remainder when 29146352 is divided by 5868. 5864 Calculate the remainder when 13042857 is divided by 137. 46 Calculate the remainder when 357917 is divided by 14873. 965 Calculate the remainder when 16321 is divided by 1379. 1152 Calculate the remainder when 8586186 is divided by 339. 333 What is the remainder when 7379352 is divided by 80210? 32 What is the remainder when 1384435 is divid
{ "pile_set_name": "DM Mathematics" }
+ 5*u = -i*m + 16 for u. 2 Let u(t) = t + 14. Let d be u(-10). Suppose 5*g = -d*i - 136, 2*g - 4*i + 28 = i. Let q = -1 - g. Solve 0 = 2*j - 3*f + q, 0*f - 4*f + 40 = -5*j for j. -4 Let j = -8 - -8. Suppose j = c - 9 + 1. Suppose -2*w + 6*w = c. Solve -4 = h - 5*r, -6*h = -w*h - 4*r for h. 1 Let s = 24 + -16. Let m(o) = 2*o**3 - 17*o**2 + 10*o - 11. Let k be m(s). Solve 2*q = k*d + 10, 5*d + 10 = 7*d + 2*q for d. 0 Suppose 59*u = 70*u - 198. Solve -3*m + u = -6*m + 5*y, 3*m - 3 = -2*y for m. -1 Suppose 0*f + 48 = -4*f - 4*m, -f + 5*m = -18. Let r be f*(2 + 17/(-7)). Suppose -r*w + 3 = -2*w. Solve -3 = w*d + 2*c - 8, -3*c = d + 3 for d. 3 Let b be (-5 + 6)/(1/3). Let j be 0/(-2)*(-6)/12. Suppose 2*f - 4 = -2*k, j = -2*f + 4*f - 5*k - 4. Solve -b*q + 2 = -f*t, -5*t - 3*q + 20 = 2*q for t. 2 Let n(m) = -4*m + 43. Let j be n(13). Let g(b) = -2*b**2 - 20*b - 16. Let y be g(j). Solve -4*i = 0, 0 = 2*z - 3*i - y - 8 for z. 5 Let m be (-31)/(-2) - 2/(-4). Let q be ((-3)/6)/((-4)/m). Suppose -h - 2*x = 2*h - 8, -q*h = x - 5. Solve h*a = 4*z + 18, 4*a = -0*z + 2*z + 18 for z. -3 Suppose -27*c + 43 = -18*c + 16. Let d = -5 - -8. Solve 5*k = 4*a - 8, 6*a + d = c*k + a for k. -4 Let w be 66/(-15)*(-20)/8. Suppose 3*q = -2*a + a + w, 4*a = -4. Solve 4*y + 5*i - q = i, 3*y + 1 = -5*i for y. 3 Let o be 6 + -6 + 6 + 6 + -7. Solve -2*d - 9*q - 6 = -10*q, -o*d = 3*q + 26 for d. -4 Let u(s) = -8*s - 67. Let c be u(-9). Solve -18 = -2*t + 2*w, -3*w - 13 = -c*t - 6*w for t. 5 Let y = 18 - 20. Let n be y/(-13) - (-216)/117. Solve 3*u - 5*p - 7 - 6 = 0, -n*u - 4 = 3*p for u. 1 Let f = -1657 + 1660. Solve w + f*w - 6 = 5*p, -3*w = -2*p - 8 for w. 4 Suppose 4*f = 5*f - 6. Suppose 6*y = 3*y + f. Suppose -3*r = -2*d - y*d - 21, -5*d = 15. Solve 2*z - 14 = 4*n, r*z = 3*n + n + 11 for z. -3 Suppose -4 = -4*j - 4*v, -3*j + 4*v + 2 = -5*j. Solve 27 = -4*q + 2*d + j*d, 0 = 3*q + d + 6 for q. -3 Let m(k) = -k**2 + 7*k - 2. Let l be m(6). Suppose 51*x - 31*x = 80. Solve -24 = 4*b + 2*o, x*o - 14 = l*b + o for b. -5 Suppose 2*q = 4*q - 4. Solve -5*j + 9 = -m, m + 6*j - 4*j = -q for m. -4 Let x = 398 + -393. Solve 0 = -x*i + t, -2*i + t - 9 = -6*i for i. 1 Suppose -2*f = 15 - 19. Suppose -f*o + 3*o + 6 = 0. Let i = o - -15. Solve 0 = a - 4*t + 13, -3*a - 4*t = -t + i for a. -5 Let y(d) = 2*d**2 - d + 4. Let w be y(3). Suppose -23*m + 12 = -w*m. Suppose m*h + 20 = 4*h. Solve 3*q + 13 = -2*p, -5*q + 4*p + h = -p for q. -1 Let q = 54 - 51. Solve -q*p + 9 = -3*v, -5*p + v + 6 = -v for p. 0 Suppose -m + 48 = 4*n, 42 + 39 = 2*m + 5*n. Solve -h + 8 = 6, 4*g + 4*h - m = 0 for g. 5 Let u = 233 + -229. Solve -u = -z + 3*f - 7*f, 2*z - 8 = -f for z. 4 Suppose 16*b + 468 = 52*b. Solve 2*n - 2 = -m, 11*n - 3*m - 6 = b*n for n. 3 Let y = -20 + 31. Let v = y + -8. Suppose -v*w = -4*w. Solve w = 4*u - 2*j - 4, -6*u + j + 2 = -u for u. 0 Let h(f) = 2*f + 10*f - f**2 + 18 + 4*f + 0*f**2. Let z be h(16). Solve l = 5*l + 8, 0 = 4*t + 3*l + z for t. -3 Let g be 15/(-12)*-4 - -1. Suppose -g*s = 6 - 18. Solve 5 - 1 = 4*m + 2*a, -s*m + a = -10 for m. 3 Let u = -136 - -136. Suppose u = -4*s + 8*s. Solve 4*k = -b + 12, -b + 15 = 5*k - s*b for k. 3 Suppose 5*g = -2*h - 953, -g - h = 2*g + 571. Let k be 3/12 - g/12. Solve 0 = 6*m - 3*m - c - k, 3 = m + 2*c for m. 5 Let g(h) be the second derivative of 3/2*h**2 + 1/3*h**3 - 3*h + 0. Let c be g(1). Solve -5*v + 4*v = c*u + 12, -9 = -5*v - 2*u for v. 3 Let k be 4*(-1 + (0 - -2)). Let v(c) = -c + 26. Let z be v(14). Suppose 0 = z*s - 0. Solve k*l - q = 7, -5*l = -s*q + q - 2 for l. 1 Suppose -4*w + 2 - 10 = 0. Let k(h) = 2*h**2 + h - 2. Let q be k(w). Solve -16 = -5*p - q*b, p - 2 = 2*b - 4*b for p. 4 Let t(p) = p**3 - 7*p**2 + 9*p + 7. Let g be t(5). Let d(v) = v**3 - 14*v**2 + 14*v - 9. Let m be d(13). Solve m*h + w = -2*w + g, -14 = -5*h + 2*w for h. 2 Let o be (-1)/((760/(-84) - -3) + 6). Solve z - 17 = -4*q, 0 = 5*q - 2*z + 3*z - o for q. 4 Let r be 8/((-4 + 7)/6). Let s = 18 - r. Let d be (-1*3)/(-3 + s). Solve -3*h + v = -8, -d*v = 4*h - 8*h + 9 for h. 3 Suppose 3*g + g = 20. Let z = -3 - g. Let f(n) = -n**2 - 9*n + 2. Let w be f(z). Solve 3*q = d + d + 13, 2*d = -w for q. 1 Let p be (-9)/((-2)/60 - 0). Suppose 0*t + 4*t - 360 = 2*b, 0 = -3*t + b + p. Let r be (1 - 0)/(18/t). Solve z = o - 7, -31 = r*z - 3*o - 0*o for z. -5 Suppose -5*x + 9 = -4*x. Suppose -11 = -5*m + 3*k + 25, -22 = -3*m + 2*k. Suppose m*r + x = 9*r. Solve 2*z - 5*y = 30, r*z - 4*y - 22 - 9 = 0 for z. 5 Let i(v) = -10*v - 2. Let m be (15 - 1)/((-14)/7). Let j = 5 + m. Let r be i(j). Solve n - o = 3, -2*n + 0*n = 4*o + r for n. -1 Let u be -1*6 + -41 + 49. Suppose -2 = -0*h + 2*h, -27 = -5*j - 3*h. Solve t - u*n - j = 0, 3*t - 14 = 4*n + n for t. -2 Let w be -4 + (0 - 1) + (-91)/(-13). Solve w*u - a + 1 = -3, -2*u = 3*a - 12 for u. 0 Let c(s) = s**2 + 8*s - 31. Let a be c(-11). Solve 4*u - 12 = -a*f + 2*u, 3*f + 4*u - 20 = 0 for f. 4 Suppose 5*s + 4*d - 12 = 0, 0 = 7*s - 2*s + 2*d - 6. Solve -4*n = 2*p - 2, n + s - 1 = -p for p. 1 Suppose 2 = -b + 5. Let i = -3 + b. Suppose 3*q - 12 = i, 5*q - 5 + 0 = 5*z. Solve 12 = -4*h + o, -h - z*o + 5 = -5 for h. -2 Let g be (-57)/(-15) - (-2)/10. Suppose 0 = -7*r + g*r + 3. Suppose v - 3 + r = 0. Solve -4*k - k + 32 = -3*f, v*k = 3*f + 20 for f. -4 Let a = 5 + -8. Let r be (a + (3 - -1))*3. Suppose -8 = -r*l + 7. Solve 0 = j - 3*c - 12, 2*c = -3*j + l*j - 8 for j. 0 Suppose 2*r - 3*r = -2*k - 158, -20 = 4*k. Let l = r - 148. Solve l = -4*v + 4*z, 0 = 4*v - 0*v - 2*z for v. 0 Suppose 7*s = 3*s - 2*b + 62, 2*s = -2*b + 28. Solve -5*p - 4*u = -2*p + 24, -3*u - s = 2*p for p. -4 Let i = -123 + 125. Solve 2*t = -r - i, -r + 0 + 13 = -3*t for t. -3 Let h be 75/(-30)*16/(-10). Solve q + 25 = -h*y, 0*q + 10 = -2*q for y. -5 Let j = 9 - 8. Suppose -p + 1 + 4 = 0. Let m be ((-19)/(-5) - j)*p. Solve 0*x - 2*f - 24 = -4*x, -2*f - m = -2*x for x. 5 Let v(d) = -d**2 + 3*d**2 + 7*d - 4*d - 3 - d**2. Let m = 8 + -13. Let i be v(m). Solve 2*w + 2*w - 3*t - 1 = 0, -5*t - i = -4*w for w. -2 Let k(r) = -7*r**2 + 7*r - 9*r**3 + 5*r**3 - 2*r**3 + 7*r**3 - 2. Let p be k(6). Solve 2*d - 8 = -d - x, -p*d = x - 10 for d. 2 Let s be ((-160)/48)/(5/(-6)). Solve 3*f + s*x = 2 - 0, -3*x = -5*f + 13 for f. 2 Let x be 3 + 8/(-4) - (2 - 3). Let d = -1 - -1. Suppose -3*m + 23 = 5*a, 5*a + 4*m - 12 = a. Solve 2*k - 3*k + 2*o + a = d, x = -o for k. 3 Let t = -4 - -29. Suppose -9*u + 3*u + 24 = 0. Suppose -u*a - 16 = -3*m - m, 5*m + 3*a = 12. Solve -5*x + 5*q - t = -0*q, -6 = -m*q for x. -3 Let t = -310 + 311. Solve 2*d + t - 4 = a, -3*d - 2*a - 13 = 0 for d. -1 Let k(q) = q**3 + 5*q**2 + 3*q + 3. Let s be k(-4). Let h(p) = 6*p - 2. Let x be h(2). Let b = x - s. Solve -2*w + 4*c = 18, -29 = 4*w - b*c - 13 for w. -1 Let b be -5*2/5*(-20)/8. Let w(o) = -o**2 + 5*o - 1. Let a be w(2). Suppose 0 = -a*u + 84 + 1. Solve -q = b*g + u + 5, -g - 5 = 0 for q. 3 Let f = -464 - -473. Solve -z - 5 = -3*c, c - 5*z + z - f = 0 for c. 1 Let c = -14 + 15. Let v be c*(2 + -3) + (-20)/(-5). Solve v*s + 2*h = -0*h - 11, -5*s + h - 27 = 0 for s. -5 Suppose -2*f + 3*f = 11. Let w be (-42)/(-8) - (33/12)/f. Solve a = 2*i - w, -3*a + 2*a - 8 = -5*i for a. -3 Let v = -363 - -368. Solve 0 = 3*q - v*g - 25, 4*g - 7 = -q - 27 for q. 0 Let x be (8/14)/(500/70 + -7). Solve 8 = -2*a + x*p, -p - 9 = 4*a + 7 for a. -4 Suppose -l = l - 10. Let z be (5 - 5)*2/(-4). Suppose k = o - 1 - z, 3 = o. Solve 0 = -2*x + 3*d + k, -x - 3*d = l - 6 for x. 1 Let j be 28 - (1 + 8/(-6))*6. Let h = -27 + j. Solve 3*o + 2 = -4*k, -6*o = -h*o - 4*k - 14 for o. 2 Suppose 0 = 3*o - 135 - 36. Suppose -i - o = -3*j, j + 3*i - 6 = -i. Let z = -9 + j. Solve 0*k - 6 = -3*q - 3*k, -5*q = 4*k - z for q. 1 Let n(w) = 2*w - 14. Let a be n(7). Suppose a*v = v - 3. Suppose q - 5*q = -5*m - 25, m - 14 = -v*q. Solve -4*x - x - q*i + 15 = 0, -4*i = 0 for x. 3 Suppose -39 = -q - 3*u, -5*q + u + 235 = 6*u. Let n = q - 45. Solve 2*d + 0*z + 3 = z, 0 = 2*d - 2*z + n for d. 0 Let i = -160 + 163. Solve 0 = i*y + 2*n - 1, -2*y - 1 = -6*y - 3*n for y. 1 Let f be (63/12 - 3)/(1/4). Let x = 22 - 12. Let c = x + -5. Solve 0 = 3*t - 2*n + f, -4*t - 5 = c*n + 7 for t. -3 Let t be (-4)/((12/(-126))/((-12)/(-28))). Solve -3*o + 2*j - 2 = t, -5*o = -5*j + 40 fo
{ "pile_set_name": "DM Mathematics" }
585. -3*(s - 9)*(s - 5)*(s + 71) Factor 2*a**5/9 + 4732*a**4/9 + 2794240*a**3/9 - 5607424*a**2/9. 2*a**2*(a - 2)*(a + 1184)**2/9 Suppose -2*p**2 + 101520*p - 1288288800 = 0. Calculate p. 25380 Suppose 675*i**5 - 630*i**4 - 1380*i**3 - 200*i**2 + 160*i = 0. What is i? -2/3, 0, 4/15, 2 Factor 3*f**2 + 29304*f + 175716. 3*(f + 6)*(f + 9762) Let a**2/2 + 42*a - 470 = 0. What is a? -94, 10 Determine p so that 35*p**3 - 1348280*p**2 + 385220*p = 0. 0, 2/7, 38522 Suppose 7*o**2 - 3247*o/2 - 116 = 0. Calculate o. -1/14, 232 Solve -3*i**5 + 191*i**4 - 3489*i**3 + 15661*i**2 - 23796*i + 9900 = 0. 2/3, 2, 3, 25, 33 Solve 10*a**3 + 455*a**2 - 5140*a + 4675 = 0 for a. -55, 1, 17/2 Find x, given that -5577*x**5 + 19812*x**4/5 + 58776*x**3/5 + 24384*x**2/5 + 3696*x/5 + 192/5 = 0. -4/5, -2/11, -2/13, 2 Suppose -5*o**3 + 440*o**2 - 9895*o + 9460 = 0. Calculate o. 1, 43, 44 Determine z, given that 2*z**3/9 - 680*z**2/9 - 94976*z/9 - 2834944/9 = 0. -56, 452 Solve -3*l**2 + 609*l + 3120 = 0. -5, 208 Solve 15*w**4 + 73510*w**3 - 834835*w**2 + 1006910*w - 245600 = 0. -4912, 1/3, 1, 10 Let 3*m**2 - 2910*m - 2913 = 0. What is m? -1, 971 Factor n**3/7 - 1790*n**2/7 - 8969*n/7 - 10770/7. (n - 1795)*(n + 2)*(n + 3)/7 Factor d**4/8 - 91*d**3/8 - 327*d**2 - 2070*d. d*(d - 115)*(d + 12)**2/8 Let 20*d**4 - 962*d**3 + 8002*d**2 + 7796*d + 1776 = 0. What is d? -1/2, -2/5, 12, 37 Factor -5*h**5 - 2730*h**4 - 8145*h**3. -5*h**3*(h + 3)*(h + 543) Suppose -51*a**5 + 1896*a**4 + 7716*a**3 + 11262*a**2 + 7215*a + 1722 = 0. What is a? -1, -14/17, 41 Let -1521*h**5 - 73164*h**4 - 781681*h**3 + 769122*h**2 + 85012*h + 2232 = 0. What is h? -31, -18, -2/39, 1 Let -i**5/3 - 97*i**4/3 - 436*i**3/3 + 2204*i**2/3 - 400*i/3 - 2944/3 = 0. Calculate i. -92, -8, -1, 2 Factor 24*h**2 + 5612*h + 252580. 4*(h + 173)*(6*h + 365) Factor 10059*b**2 - 80469*b/2 - 6. 3*(b - 4)*(6706*b + 1)/2 Solve -5*m**3 + 900*m**2 - 6835*m - 7740 = 0 for m. -1, 9, 172 Suppose -u**4/11 - 7800*u**3/11 - 23394*u**2/11 - 23392*u/11 - 7797/11 = 0. What is u? -7797, -1 Factor s**2 - 3765*s - 41536. (s - 3776)*(s + 11) Factor 2*i**2/9 - 1402*i/9 + 9716/9. 2*(i - 694)*(i - 7)/9 Let -625*j**5 - 286375*j**4 + 229950*j**3 + 206010*j**2 - 247725*j + 61965 = 0. Calculate j. -459, -1, 3/5 What is k in -775*k**5 - 3310*k**4 - 3325*k**3 + 2150*k**2 + 4100*k + 1160 = 0? -2, -58/31, -1, -2/5, 1 Solve -110*w**5/9 - 1424*w**4/9 - 2284*w**3/3 - 1608*w**2 - 1230*w + 72 = 0. -4, -3, 3/55 Find s, given that s**4/6 - 7*s**3/3 + 8*s**2 - 3*s - 27/2 = 0. -1, 3, 9 Find b, given that -124*b**2 + 643676*b + 41528 = 0. -2/31, 5191 Suppose -35*i**3 + 87485*i**2 + 37520*i - 50000 = 0. Calculate i. -1, 4/7, 2500 Factor 2*y**2/5 + 246644*y/5 - 246646/5. 2*(y - 1)*(y + 123323)/5 Factor 4*x**4 - 10116*x**3 + 190760*x**2. 4*x**2*(x - 2510)*(x - 19) Factor 3*g**2 + 4068*g. 3*g*(g + 1356) Factor 5*d**2 - 640435*d - 1280890. 5*(d - 128089)*(d + 2) Suppose 5*k**5 + 15870*k**4 - 143120*k**3 + 365970*k**2 - 238725*k = 0. What is k? -3183, 0, 1, 3, 5 Determine j so that j**3 + 2151*j**2 + 100944*j = 0. -2103, -48, 0 Solve q**2/5 + 5462*q/5 - 5463/5 = 0. -5463, 1 Suppose h**5/9 - 1036*h**4/9 - 10424*h**3/9 - 37600*h**2/9 - 58544*h/9 - 33472/9 = 0. Calculate h. -4, -2, 1046 Let 4*y**2/5 + 12*y/5 = 0. Calculate y. -3, 0 Solve -75*d**5 + 3585*d**4 - 6132*d**3 - 3696*d**2 + 4992*d - 1104 = 0. -1, 2/5, 2, 46 Find u such that -u**2/5 + 118*u/5 + 6923/5 = 0. -43, 161 Factor z**2 + 24221*z + 24220. (z + 1)*(z + 24220) Suppose 344*w**3/5 + 6188*w**2/5 - 72*w/5 = 0. What is w? -18, 0, 1/86 Determine x, given that 14*x**3 + 42332*x**2 + 30226*x - 12092 = 0. -3023, -1, 2/7 Let 2*s**3/7 + 142*s**2/7 - 19468*s/7 + 38352/7 = 0. What is s? -141, 2, 68 Factor -5*z**2 + 3523880*z - 620886512720. -5*(z - 352388)**2 Factor 3*f**3/4 + 6336*f**2 + 53501175*f/4 - 53551875/2. 3*(f - 2)*(f + 4225)**2/4 Let 2*d**5/5 + 2*d**4 - 134*d**3/5 + 374*d**2/5 - 396*d/5 + 144/5 = 0. What is d? -12, 1, 2, 3 Factor -2*v**2 + 60272*v. -2*v*(v - 30136) Suppose -w**4 - 864*w**3 + 11391*w**2 - 8794*w - 21048 = 0. Calculate w. -877, -1, 2, 12 Determine g, given that -g**2/3 + 4357*g/3 + 122780/3 = 0. -28, 4385 Solve 2148*m**4 - 23632*m**3 - 2104*m**2 + 23632*m - 44 = 0. -1, 1/537, 1, 11 Solve -y**4/2 - 1193*y**3/2 - 4759*y**2/2 - 3567*y/2 = 0 for y. -1189, -3, -1, 0 Find f such that -4*f**4 - 47512*f**3 - 141086884*f**2 = 0. -5939, 0 Factor -3*c**4 + 351*c**3 - 8808*c**2 + 16236*c. -3*c*(c - 82)*(c - 33)*(c - 2) Suppose s**5/2 + 3873*s**4/2 - 46803*s**3 - 152023*s**2 - 311787*s/2 - 105219/2 = 0. Calculate s. -3897, -1, 27 What is a in -58*a**4/11 + 472*a**3/11 - 1224*a**2/11 + 1088*a/11 - 128/11 = 0? 4/29, 2, 4 Determine t so that -2*t**5/7 - 28*t**4 - 760*t**3/7 - 752*t**2/7 = 0. -94, -2, 0 Factor -2*x**3/5 + 4432*x**2/5 - 2455328*x/5. -2*x*(x - 1108)**2/5 Suppose 7*q**3/4 + 605*q**2/2 - 3679*q/4 + 1231/2 = 0. What is q? -1231/7, 1, 2 Factor -i**3/3 - 5171*i**2/3 - 2227408*i + 2229132. -(i - 1)*(i + 2586)**2/3 Suppose 3*k**5/2 - 69*k**4 + 198*k**3 + 27588*k**2 - 319440*k = 0. What is k? -20, 0, 22 Factor g**4/2 - 36*g**3 + 389*g**2/2 + 231*g. g*(g - 66)*(g - 7)*(g + 1)/2 Find a, given that -12*a**4 + 53140*a**3 - 58626232*a**2 - 452347792*a - 275493344 = 0. -7, -2/3, 2218 Suppose -b**4/2 + 15898*b**3 - 252778197*b**2/2 + 252714609*b = 0. Calculate b. 0, 2, 15897 Find s, given that -3*s**2/5 - 2556*s - 12777/5 = 0. -4259, -1 Factor 83205*w**5 + 111585*w**4 + 30800*w**3 + 2420*w**2. 5*w**2*(w + 1)*(129*w + 22)**2 Factor -2*j**4 + 250*j**3 + 514*j**2 - 762*j. -2*j*(j - 127)*(j - 1)*(j + 3) Let -a**4/3 - 181*a**3/3 - 1858*a**2 - 20156*a/3 - 19448/3 = 0. Calculate a. -143, -34, -2 Factor -2*l**2/15 + 556*l/15 + 6386/5. -2*(l - 309)*(l + 31)/15 Let -3*y**4 - 5862*y**3 - 92721*y**2 + 586962*y - 488376 = 0. What is y? -1938, -21, 1, 4 What is j in 2*j**4 - 1782*j**3 + 19440*j**2 - 70496*j + 84480 = 0? 3, 4, 880 Find b, given that b**2/5 - 12002*b + 120016/5 = 0. 2, 60008 Factor 40*m**3 + 12878*m**2 - 39644*m + 1950. 2*(m - 3)*(m + 325)*(20*m - 1) What is x in -9*x**5 - 264*x**4 - 2013*x**3 - 4746*x**2 - 1368*x = 0? -19, -6, -4, -1/3, 0 Suppose -u**2 + 516*u - 2048 = 0. Calculate u. 4, 512 Determine p, given that -7*p**3/4 + 6059*p**2 - 1731*p = 0. 0, 2/7, 3462 Factor -z**4/2 - 8361*z**3/2 - 11655231*z**2 - 10847109910*z - 32436545484. -(z + 3)*(z + 2786)**3/2 Let -2*d**5/21 + 142*d**4/21 - 466*d**3/3 + 23042*d**2/21 + 8816*d/7 = 0. Calculate d. -1, 0, 19, 24, 29 Determine p, given that -6*p**4/7 - 2088*p**3/7 - 154872*p**2/7 + 4660416*p/7 - 29890944/7 = 0. -186, 12 Let -2*o**4/15 - 46*o**3/15 + 446*o**2/5 - 5834*o/15 - 7216/15 = 0. Calculate o. -41, -1, 8, 11 Factor -3*s**2 - 45*s + 105300. -3*(s - 180)*(s + 195) What is m in -m**3 - 4313*m**2/3 - 49910*m/3 = 0? -1426, -35/3, 0 Suppose 4*o**2 + 332688*o + 6917581584 = 0. What is o? -41586 Factor -3*g**2 + 16014*g - 32016. -3*(g - 5336)*(g - 2) Factor 2*b**3 + 3932*b**2 + 11782*b + 7852. 2*(b + 1)*(b + 2)*(b + 1963) What is i in -i**3/9 - 10*i**2/3 + 187*i/9 + 1612/3 = 0? -31, -12, 13 Factor 2*d**2 - 122640*d + 245272. 2*(d - 61318)*(d - 2) Solve y**2/3 - 386*y/3 - 5600/3 = 0. -14, 400 Suppose 3*t**4 + 8586*t**3 - 603045*t**2 + 10759164*t - 10164708 = 0. Calculate t. -2931, 1, 34 Suppose -4*f**2/17 + 590*f/17 + 2114/17 = 0. Calculate f. -7/2, 151 Find j such that 6*j**5/5 - 84*j**4/5 + 174*j**3/5 + 264*j**2/5 = 0. -1, 0, 4, 11 Let 4*v**2/3 - 668432*v/3 - 1336880/3 = 0. Calculate v. -2, 167110 Factor 4*y**3 - 1496*y**2 + 29732*y - 28240. 4*(y - 353)*(y - 20)*(y - 1) Determine p, given that 4*p**3 + 200692*p**2 = 0. -50173, 0 Factor s**2/3 - 863*s/3 + 3404. (s - 851)*(s - 12)/3 Let k**4/4 - 5*k**3/2 - 1093*k**2/4 + 551*k/2 = 0. Calculate k. -29, 0, 1, 38 Factor 2*b**3/3 + 88*b**2/3 - 128*b/3 - 5632/3. 2*(b - 8)*(b + 8)*(b + 44)/3 Determine k, given that 2*k**4/3 + 39208*k**3/9 - 13076*k**2/9 - 39208*k/9 + 13070/9 = 0. -6535, -1, 1/3, 1 Factor 2*r**2/3 + 3776*r + 213066. 2*(r + 57)*(r + 5607)/3 Let 2*f**3/7 + 376*f**2/7 + 22650*f/7 + 427500/7 = 0. Calculate f. -75, -38 Factor -5*s**3 - 16135*s**2 + 64600*s - 64620. -5*(s - 2)**2*(s + 3231) Factor 4*s**5 - 1472*s**4 + 181524*s**3 - 7616216*s**2 + 13990960*s + 21790176. 4*(s - 122)**3*(s - 3)*(s + 1) Let 2*t**5/
{ "pile_set_name": "DM Mathematics" }
(a) 6/11 (b) -1/5 (c) -7 (d) 0 b What is the closest to 0.2 in -1, -2, -11? -1 What is the closest to -1/3 in -2, 0.3, -0.3? -0.3 What is the nearest to 0.1 in 3, 17, -1? -1 What is the closest to -2/3 in -2.4, 3, -5? -2.4 Which is the nearest to -2/5? (a) 14 (b) -1 (c) -4/7 (d) 3/5 c Which is the nearest to 4? (a) -4 (b) 1 (c) -0.4 (d) -1/7 b What is the nearest to -1/2 in 1/2, -1/3, 0.2, -0.511? -0.511 Which is the closest to -3? (a) 5 (b) 14 (c) -12 a Which is the nearest to 3? (a) 2/13 (b) 0 (c) -3/8 a Which is the closest to 1/4? (a) 0 (b) 2 (c) -2 (d) -27 a Which is the closest to -2/23? (a) -0.2 (b) -2/3 (c) -4/3 (d) 0.4 a Which is the nearest to 2/9? (a) -2/3 (b) -4 (c) 38 a Which is the closest to 92? (a) -6 (b) -3 (c) -2/5 (d) 0.5 d Which is the nearest to -2? (a) -4 (b) 2/15 (c) 2/13 a What is the nearest to 12 in -2/21, 5, -5/4, 0? 5 What is the nearest to 1 in 0.4, -6, -1, -3? 0.4 What is the nearest to -0.8 in 4, -0.1, 3, 1? -0.1 Which is the nearest to 2? (a) -0.458 (b) -4 (c) 0.1 c Which is the closest to -0.4? (a) 14/3 (b) 0.2 (c) -4 (d) -1/3 d Which is the closest to -4? (a) 3 (b) 10 (c) 2/23 c What is the closest to 0.1 in -3/5, 2/5, 40? 2/5 Which is the nearest to -18? (a) -2/11 (b) -3/2 (c) 1/4 (d) 1/6 b What is the closest to -0.4 in -2/13, 27, 7/3? -2/13 What is the closest to -4 in -1, -5, 0.5, -0.4? -5 What is the nearest to 0.1 in 3, 0, -0.04, 2? 0 What is the nearest to -1/87 in -0.2, 2/25, 1/4? 2/25 What is the nearest to 61 in 0.4, -5, 0.2, 0? 0.4 Which is the nearest to 2/7? (a) -2/5 (b) -0.1 (c) -0.03 c Which is the nearest to 2/63? (a) 6/13 (b) -5 (c) 2/15 c What is the closest to 0.1 in -4, 3, 4, -45? 3 What is the nearest to 1/4 in 7/3, 0, -3/5, -1.03? 0 What is the nearest to -1 in 5/2, 4, -860? 5/2 What is the closest to -2 in 0, -5, -1/10, 9/7? -1/10 Which is the closest to -2/7? (a) 0 (b) -2/5 (c) 1 (d) 2/5 b Which is the closest to -1? (a) -0.2 (b) 16 (c) 0.2 a What is the nearest to 0.08 in 7, 3/5, -3/2, 0? 0 What is the closest to 0 in 0, -3, -3/7, 1124? 0 Which is the closest to 20? (a) 5 (b) -0.2 (c) 2/9 (d) 0.4 a Which is the nearest to -2? (a) -3/5 (b) -2/5 (c) -93 (d) 2/11 a Which is the nearest to 33? (a) 0.07 (b) 4 (c) 0 (d) 0.4 b What is the nearest to 1/3 in -12/17, -6, -3? -12/17 Which is the closest to 0? (a) 18 (b) 3 (c) 0.4 c What is the closest to -0.1 in 0, 0.5, -2302, -0.3? 0 What is the closest to 0.07 in -0.1, -1/6, -7, -1/5? -0.1 What is the nearest to 3/11 in -1/2, -5/4, -0.2? -0.2 Which is the closest to -0.02? (a) 0.5 (b) -1/5 (c) 0.3 (d) -2/9 b Which is the closest to -0.2? (a) 4/7 (b) -0.3 (c) 4/43 b Which is the closest to 258? (a) 0.5 (b) 3 (c) -1 (d) -2/7 b What is the closest to -31 in -0.2, -0.5, -5, 1/4? -5 What is the closest to 2/3 in -0.5, -19/3, 5, -1? -0.5 What is the closest to -1 in 0.07, 2, 1/17, 4? 1/17 Which is the nearest to 0.1? (a) 11 (b) 5 (c) 6.6 b Which is the closest to 2/7? (a) -0.3 (b) -2.98 (c) 0.3 c What is the nearest to -1/3 in 4, -3/17, -0.4, 5? -0.4 What is the closest to -16 in -0.08, 3, -1? -1 What is the closest to 89 in 0, -0.1, 4? 4 What is the closest to 9 in 0.17, 0, -2/3, -1/2? 0.17 Which is the closest to 5? (a) 3 (b) 12/7 (c) 5 c Which is the nearest to 1? (a) -10 (b) 2 (c) 5 b Which is the nearest to -1? (a) 4 (b) -0.5 (c) -0.4 (d) -528 b What is the nearest to -0.04 in -5/38, -4, -0.2, 5? -5/38 What is the nearest to 1/4 in 1/3, 4, -115, -2? 1/3 Which is the closest to 0? (a) 0.04 (b) -0.2 (c) -0.7 (d) -3 a Which is the closest to -0.4? (a) -1/3 (b) 0 (c) -5 (d) 5/6 a What is the closest to -1/8 in -0.4, 1/2, -5, 1? -0.4 Which is the closest to -0.5? (a) 0.1 (b) 4 (c) 3 (d) -6 a What is the nearest to 3 in -2, 0.3, -1, 0.1? 0.3 Which is the closest to -5/4? (a) -4 (b) 5 (c) 120 (d) 4 a What is the nearest to -2/3 in 1/5, 2, -3.1, 0.6? 1/5 What is the nearest to 1/2 in 2/19, -4/5, 3, -4? 2/19 Which is the closest to -1? (a) -2/11 (b) -0.4 (c) 1 (d) 9 b What is the closest to 7/4 in -0.05, 4, 12? -0.05 What is the closest to 1/3 in 3/5, -0.5, 0.2, 2? 0.2 Which is the closest to -0.04? (a) -5 (b) -22 (c) 0 (d) 3/2 c Which is the nearest to 1? (a) -5 (b) -0.03 (c) 22 b Which is the closest to -1/2? (a) -1 (b) -12 (c) -9 (d) -4 a Which is the nearest to 63/5? (a) 3/4 (b) 1 (c) -4 b Which is the nearest to -7? (a) 1 (b) -1.1 (c) -5 (d) -1 c Which is the nearest to -13/12? (a) -1 (b) -2 (c) 0 a Which is the closest to -0.2? (a) -0.5 (b) 0 (c) -9 b Which is the nearest to -1/2? (a) 0.4 (b) -2/3 (c) -0.2 (d) -1.2 b Which is the nearest to -1? (a) -0.4 (b) 0.8 (c) 150 a What is the closest to 1 in 0.5, -24, -0.1, -1/4? 0.5 What is the closest to -2161 in -2/5, 2/7, 2/5? -2/5 Which is the nearest to 2? (a) 14 (b) -2 (c) -2/5 c What is the closest to 4/33 in 0.2, -2, -1/4, -0.4? 0.2 What is the closest to 0.3 in 4, -5, 0? 0 Which is the closest to 1? (a) 4 (b) 63 (c) -12 a What is the closest to -389 in 0.1, 0.3, -5? -5 Which is the closest to 344? (a) 2 (b) -1 (c) -0.1 (d) 3/5 a Which is the nearest to 2/9? (a) -0.2 (b) 0.18 (c) 1 b What is the nearest to 2 in -0.3, 1, 4, -0.5? 1 Which is the closest to 0.06? (a) 0.5 (b) -540 (c) 1 a Which is the nearest to 0.2? (a) 2/95 (b) 0.5 (c) 1/7 c What is the closest to 0 in -5, -3/17, -4, 1/3? -3/17 Which is the nearest to 1/3? (a) -0.2 (b) 1/2 (c) 1/5 (d) 2/27 c What is the closest to -0.1 in -4/5, 0.3, 3.1? 0.3 What is the nearest to 3 in 5, -1/3, 6, 0.12? 5 What is the closest to 0.1 in -0.09, -0.1, 1/6, -4/3? 1/6 What is the nearest to 5 in -0.5, -0.8, 2/5, -0.3? 2/5 Which is the closest to -0.2? (a) -0.3 (b) 4 (c) 33 (d) 0.5 a Which is the closest to 1? (a) 1 (b) -11 (c) -0.4 a Which is the closest to 2/3? (a) -0.5 (b) -0.0658 (c) -0.1 b Which is the closest to 1? (a) -0.2 (b) -1 (c) 0.03 (d) 2/15 d Which is the nearest to 23? (a) -4 (b) 5 (c) -1/3 b What is the closest to 2/3 in -1, -5, -0.088? -0.088 Which is the closest to 1? (a) 21 (b) -3/7 (c) 5 (d) -1/2 b What is the nearest to 2 in -1, 3/8, -3, 4? 3/8 What is the closest to 1 in 3/7, 2, 0.03, -0.06? 3/7 What is the nearest to -6 in -0.1, 4, -2/11? -2/11 What is the closest to -0.2 in 4, -5, -2/15, -9? -2/15 Which is the closest to -19? (a) -1/5 (b) -2/15 (c) 2/5 a What is the nearest to 1/3 in -2, -4/3, 17, 3? -4/3 Which is the nearest to 0.2? (a) 15 (b) -1/6 (c) 3/7 (d) -35 c What is the closest to 0.1 in -53, 0.5, -3, 2? 0.5 What is the nearest to 6 in 0.3, 58, -0.4, 1? 1 What is the closest to -6 in -0.2, 4, 1/11? -0.2 What is the nearest to 0.1 in -0.4, 4, 14? -0.4 What is the nearest to 0 in 0, -1, -0.12, -2/9? 0 What is the closest to -2 in 2, 0, -5, -0.5? -0.5 What is the nearest to 0.1 in 1, -1, -5/39, 2/5? -5/39 What is the nearest to 0.4 in -22/49, -2/9, -3? -2/9 Which is the nearest to 1? (a) 0 (b) -2/31 (c) -0.02 a What is the closest to 2/13 in 4, -156, -12? 4 What is the nearest to 4 in 2/15, 0.3, 0, -2? 0.3 What is the closest to -1/2 in -1/6, 2/7, 4, 0.04? -1/6 Which is the closest to -0.1? (a) 5 (b) 0 (c) 4 (d) -2/121 d What is the nearest to 0.1 in -2, -4, 0.3, 2/5? 0.3 Which is the nearest to 4? (a) -0.04 (b) 3 (c) -3 b What is the nearest to 3/11 in 1, -2, -0.3, -1/17? -1/17 What is the nearest to 5 in -0.4, -0.5, 3, -1/5? 3 Which is the closest to -8? (a) 0.5 (b) -0.4 (c) -0.7 c Which is the closest to 1/4? (a) 26/7 (b) 2 (c) 0.4 c Which is the closest to 3? (a) -4 (b) 1/2 (c) 0.2 (d) -2 b Which is the nearest to -2/7? (a) 0.3 (b) -4 (c) -2.95 a Which is the closest to -2/9? (a) -3/4 (b) -2 (c) -0.4 (d) -4/7 c What is the closest to 0.1 in -0.015, -2, 2/7, 1? -0.015 What is the nearest to 0.07 in 0.4, -49, -0.1? -0.1 Which is the nearest to 0.2? (a) 3/7 (b) 0.19 (c) -2 (d) 6 b What is the closest to 2/33 in 1/3, -1/7, -2? -1/7 What is the closest to -2/11 in 8, 3, -2/21? -2/21 What is the closest to -1 in 6, -0.1, -1.1, 0.4? -1.1 Which is the closest to 0? (a) -5 (b) 0 (c) -0.2 b What is the closest to 0 in -30, -13, -3? -3 What is the nearest to -6 in -2, 0.1, 4? -2 What is the clos
{ "pile_set_name": "DM Mathematics" }
-37, -288, -719, -1366, -2265? -3452 What is the next term in 6677, 6712, 6787, 6902, 7057, 7252? 7487 What is the next term in -145885, -146194, -146717, -147460, -148429, -149630, -151069? -152752 What is next in 131602366, 263204731, 394807096, 526409461, 658011826, 789614191? 921216556 What is the next term in 8588, 34681, 78242, 139271, 217768? 313733 What comes next: -25965, -26337, -26685, -27009, -27309, -27585, -27837? -28065 What is next in -35878680, -35878668, -35878656, -35878644, -35878632? -35878620 What is next in 381430, 381451, 381486, 381535, 381598, 381675? 381766 What comes next: -97252, -194470, -291648, -388780, -485860? -582882 What comes next: 14757, 36762, 58767, 80772, 102777? 124782 What is next in 4228, 3182, 1564, -626, -3388, -6722? -10628 What is the next term in 1928, 2957, 4476, 6485, 8984, 11973? 15452 What comes next: 15358, 15299, 15218, 15103, 14942, 14723, 14434? 14063 What comes next: -14409, -15841, -17273, -18705? -20137 What is the next term in -1030859, -1030849, -1030839, -1030829, -1030819? -1030809 What is the next term in 84672, 84788, 84908, 85032, 85160? 85292 What comes next: 503726614, 503726612, 503726610, 503726608, 503726606? 503726604 What is the next term in -7843834, -7843829, -7843826, -7843825, -7843826, -7843829? -7843834 What comes next: 26463, 105778, 237943, 422958, 660823, 951538? 1295103 What is the next term in -177864316, -177864315, -177864314, -177864313, -177864312? -177864311 What is the next term in -37546, -150216, -338008, -600922, -938958? -1352116 What comes next: 2277, 2327, 2373, 2415, 2453? 2487 What is the next term in -26057, -99912, -223003, -395330, -616893, -887692, -1207727? -1576998 What comes next: -71316, -71992, -72668? -73344 What comes next: 6799, 11216, 18577, 28882? 42131 What comes next: 5777, 23118, 51993, 92378, 144249, 207582, 282353? 368538 What comes next: -3034, -24479, -82880, -196777, -384710, -665219, -1056844, -1578125? -2247602 What comes next: 4455, 16735, 36841, 64773, 100531, 144115, 195525? 254761 What is the next term in -26484, -25576, -24668? -23760 What comes next: -19852, -25810, -31732, -37624, -43492, -49342, -55180? -61012 What is next in 858, 3707, 8480, 15165, 23750, 34223? 46572 What is next in 3319, 10815, 26649, 54991, 100011, 165879, 256765, 376839? 530271 What is the next term in 10136482, 10136490, 10136504, 10136524, 10136550, 10136582, 10136620? 10136664 What is next in 555009, 1110015, 1665021? 2220027 What comes next: 1186, 4451, 9386, 15577, 22610, 30071, 37546, 44621? 50882 What is the next term in -1055258, -2110521, -3165798, -4221095, -5276418, -6331773, -7387166, -8442603? -9498090 What is the next term in -16588851, -16588843, -16588835? -16588827 What is next in -40258, -80536, -120818, -161104? -201394 What comes next: 15891, 15984, 16073, 16158, 16239? 16316 What comes next: 22, 209, 372, 493, 554, 537, 424, 197? -162 What comes next: 4367, 5075, 5783, 6491? 7199 What is the next term in 1323, 2325, 3333, 4347, 5367, 6393, 7425? 8463 What is the next term in -140688, -1125881, -3799978, -9007431, -17592692, -30400213, -48274446? -72059843 What is next in 2201802, 2201801, 2201800? 2201799 What comes next: -60743, -60731, -60731, -60749, -60791, -60863, -60971? -61121 What is the next term in -37795882, -37795902, -37795922? -37795942 What is next in 4623, 9345, 14087, 18855, 23655, 28493? 33375 What is the next term in 1059, 3364, 8321, 17256, 31495, 52364, 81189? 119296 What is next in 5906, 10638, 15376, 20126, 24894, 29686, 34508? 39366 What is next in -369154, -737983, -1106800, -1475599, -1844374, -2213119? -2581828 What is the next term in 1070384, 1070382, 1070372, 1070348, 1070304, 1070234? 1070132 What is the next term in -2059, -2313, -2705, -3241, -3927? -4769 What is next in 265265, 266618, 267971, 269324, 270677? 272030 What comes next: 420553, 1682329, 3785281, 6729403, 10514689, 15141133? 20608729 What is the next term in -769, -2197, -5111, -10255, -18373, -30209, -46507, -68011? -95465 What is next in 840, 3318, 7744, 14364, 23424, 35170? 49848 What is the next term in -32147, -65759, -100825, -137345, -175319, -214747? -255629 What is the next term in -13871, -59778, -136291, -243410, -381135? -549466 What comes next: 18237554, 18237552, 18237550, 18237548, 18237546? 18237544 What comes next: -5470300, -5470347, -5470394? -5470441 What is next in -9735989, -9735985, -9735981, -9735977, -9735973? -9735969 What is the next term in 721, 2905, 6683, 12187, 19549? 28901 What is next in 7067, 880, -9431, -23866? -42425 What comes next: 12170, 12207, 12296, 12461, 12726, 13115? 13652 What comes next: 3025, 6181, 9283, 12325, 15301, 18205? 21031 What is the next term in -172288, -344636, -516984, -689332, -861680, -1034028? -1206376 What is next in -1094, 1072, 6954, 18406, 37282? 65436 What is next in -4233381, -4233356, -4233315, -4233258? -4233185 What comes next: -588381, -588381, -588377, -588369, -588357? -588341 What is next in 37849, 302838, 1022109, 2422804, 4732065, 8177034, 12984853, 19382664? 27597609 What is next in 75291, 77223, 79157, 81093, 83031, 84971, 86913? 88857 What comes next: 49846012, 49846014, 49846016, 49846018, 49846020? 49846022 What is next in -906076, -906098, -906120, -906142, -906164? -906186 What comes next: 4154871, 4155057, 4155367, 4155801? 4156359 What is next in -1631, -2380, -3129? -3878 What is the next term in -147823, -147821, -147821, -147823? -147827 What is the next term in 25601, 28310, 32825, 39146, 47273, 57206? 68945 What is next in -2866, -10336, -22390, -39016, -60202, -85936, -116206, -151000? -190306 What is next in -2441230, -2441303, -2441374, -2441443? -2441510 What is the next term in -745, -5488, -18185, -42814, -83353, -143780, -228073? -340210 What is the next term in -4102855, -8205700, -12308547, -16411396, -20514247? -24617100 What comes next: -489070, -490589, -492106, -493621, -495134, -496645, -498154? -499661 What is next in 21123, 168640, 569031, 1348734, 2634187? 4551828 What comes next: 252, 591, 912, 1221, 1524? 1827 What comes next: 87954, 703920, 2375838, 5631684, 10999434, 19007064? 30182550 What is the next term in -4168, -7635, -10416, -12505, -13896, -14583? -14560 What is the next term in -866889, -6935115, -23406017, -55480935, -108361209, -187248179, -297343185? -443847567 What comes next: 18825908, 37651834, 56477770, 75303722, 94129696, 112955698? 131781734 What comes next: 278269, 555678, 833087, 1110496, 1387905? 1665314 What is next in 16974, 68221, 153628, 273195, 426922, 614809? 836856 What is next in 3539, 14221, 32037, 56987, 89071? 128289 What is the next term in 667, 2230, 4811, 8392, 12955, 18482? 24955 What is next in 30554, 61116, 91666, 122198, 152706, 183184? 213626 What is the next term in -6068, -5982, -5844, -5654, -5412, -5118? -4772 What comes next: -47470, -94962, -142486, -190048, -237654, -285310, -333022, -380796? -428638 What is next in -16318746, -16318744, -16318746, -16318758, -16318786, -16318836? -16318914 What is the next term in 593792, 593820, 593848, 593876, 593904, 593932? 593960 What is next in -7651, -15889, -24677, -34015, -43903? -54341 What is the next term in -55257, -220991, -497213, -883923? -1381121 What is next in 60312, 60293, 60282, 60285, 60308, 60357, 60438, 60557? 60720 What comes next: -351959755, -351959754, -351959753, -351959752, -351959751? -351959750 What comes next: -23648, -189480, -639614, -1516202, -2961396, -5117348? -8126210 What is next in -189469, -377810, -566155, -754504, -942857, -1131214, -1319575? -1507940 What comes next: 4308, 4299, 4266, 4209, 4128, 4023? 3894 What is next in -21750, -39206, -56662, -74118? -91574 What comes next: -5135, -10200, -15191, -20102, -24927, -29660? -34295 What comes next: 76243, 76655, 77067, 77479, 77891, 78303? 78715 What comes next: 2605502, 2605503, 2605504, 2605505, 2605506? 2605507 What is next in 1719, 3280, 4329, 4608, 3859, 1824, -1755? -7136 What is the next term in -1946124, -3892292, -5838460, -7784628, -9730796, -11676964? -13623132 What is the next term in -12431, -24613, -36555, -48257, -59719, -70941, -81923? -92665 What is the next term in 218, 488, 762, 1052, 1370? 1728 What is next in 4249, 8
{ "pile_set_name": "DM Mathematics" }
(s) = 42*s**3 + 1 - 3*s**2 - 35*s**3 + 2*s**2. Let b = 1 + -2. Determine h(b). -7 Let t(j) = -j + 0*j - j + 4*j**2 - 7 + j. Let v be (0 - 0/(-2)) + 6. Let a(o) = 3*o**2 - o - 6. Let b(s) = v*a(s) - 5*t(s). Calculate b(-2). -7 Let u(i) = -i**2. Let d(r) be the first derivative of r**2/2 - r + 4. Let m(t) = -5*d(t) + u(t). Let y be (3 + (-35)/10)*10. What is m(y)? 5 Suppose 45*l = 57*l - 36. Let z(n) = n**3 - 2*n**2 + n + 3. Let y(h) = -h**2 + h. Let o(c) = -y(c) - z(c). What is o(l)? -9 Suppose 0 = -16*o + 9*o - 21. Let t(m) be the first derivative of m**5/20 + m**4/8 - m**3/3 - 2. Let x(s) be the third derivative of t(s). What is x(o)? -15 Suppose 3*y - 23 = -2*o, -2*y + 3*o = 5*o - 16. Suppose 3 - y = -x. Let m(f) = -f**3 + 6*f**2 - 10*f + 5. Let k be m(x). Let j(l) = -l**2 - l + 2. What is j(k)? -4 Let p(u) = -u - 7. Let z be p(-9). Suppose -3*s = z*s - 15. Let m(y) = -2*y**2 - 3*y + y**3 + s - y**2 + 5*y**2. What is m(-3)? 3 Let i(q) be the first derivative of 7*q**2/2 - 6*q + 156. Calculate i(2). 8 Let l(h) be the second derivative of -h**3/6 + h. Suppose 4*z - 6*w = -3*w + 75, -5*w - 27 = -2*z. Suppose 3*v - 9 = b, 3*v - 6 = 5*b - z. Give l(b). -6 Let v be 3/(3/(-18)*2) + 3. Let t be (-26)/4 - -2 - (-9)/v. Let u(h) = -2*h + 2. Calculate u(t). 14 Let n be (-1)/5*-5 - -5. Let d(u) = -n*u - 4*u**2 - 2*u + 4 + 5*u**2. Calculate d(7). -3 Suppose 0 = 3*h - w - 0*w - 85, 4*w + 116 = 4*h. Suppose -4*n - 8 = h. Let l(i) = i**3 + 9*i**2 + i + 4. What is l(n)? -5 Let g be (-64)/12*(-3)/4. Let l(w) = -w**3 + 3*w**2 - w - 4. Determine l(g). -24 Let a(v) be the third derivative of 0*v**3 - 16*v**2 + 0 - 1/60*v**5 + 5/24*v**4 + 0*v. Let m be 30/9*(-6)/(-4). Determine a(m). 0 Let u(c) = c - 10. Let p(a) = -2*a + 22. Let b(d) = -2*p(d) - 5*u(d). Determine b(0). 6 Let l(a) = a**2 - 4*a + 4. Let o be 22 - 2*(-1 + 0). Suppose x + x + 9 = n, 3*n - 5*x - o = 0. Determine l(n). 1 Let f(z) = -11*z**2 - 9*z - 4. Let n(q) = -5*q**2 - 4*q - 2. Let d(j) = -4*f(j) + 9*n(j). Suppose 0 = 5*r + 158 + 12. Let t = r - -36. Determine d(t). -6 Let h(c) = -3*c + 8 - 2*c + 8*c**2 - 7*c**2 - 3. Let l = -426 + 432. What is h(l)? 11 Suppose -5*b - o - 15 = 14, 5*o = b + 11. Let k(z) = -4*z**2 + 4*z - z**3 - 2*z - 2*z**2 - 1. Calculate k(b). -13 Let z be 5 - (2 + 2 + -2). Let q(p) = -p**z - 3*p**2 - 5*p**2 + 0*p**2 - 7. Determine q(-8). -7 Let q(w) = -w**3 + 7*w**2 - 8*w + 7. Let y = 38 - 16. Suppose -3*o + 20 = -8*o, -y = -2*z + 3*o. Give q(z). 17 Suppose 2*r - 3*r + 6 = 0. Let q(y) be the second derivative of y**5/20 - 7*y**4/12 + y**3/3 + 4*y**2 - y + 2. Determine q(r). -16 Suppose -2*s + 3 + 5 = 0. Let k be ((-5)/(-2))/(2/s). Let y(d) = k - 6 - 12*d**3 + 2*d**2 + 2*d**3. Determine y(-1). 11 Let s(t) = -2*t**3 - 14*t**2 + 28*t + 8. Let w(g) = g**3 + 7*g**2 - 15*g - 3. Let r(d) = 3*s(d) + 5*w(d). Calculate r(-8). 1 Let f(y) = -157 + 79 + 3*y + 59. Calculate f(4). -7 Let l(s) = -13*s + 2*s**2 + 39*s + 0 - 13*s - 15*s - 9. Determine l(4). 15 Let l(f) = -5*f + 6. Let p(g) = -12*g + 10. Let c(n) = 5*l(n) - 2*p(n). Calculate c(6). 4 Let m = -10 + 28. Suppose m = 5*j - 4*n + 4, 4*j + 4*n - 40 = 0. Let t(f) = f**2 - 9*f + 2. What is t(j)? -16 Let x(q) = -31*q - 95. Let y be x(-3). Let v(l) = 6*l**2 + l + 1. Determine v(y). 23 Let w = 5 + -5. Let y be (-23)/(-7) - (-26)/(-91). Let t(g) = g - 3*g + 3*g + 3*g**2 - g**y - 2*g**2 + 3. What is t(w)? 3 Suppose 0 = 7*f - 4*f + 21. Let s be (2/3)/(f/21). Let r(t) = t**2 + t**3 + 3 - t + 0 - 2. Determine r(s). -1 Suppose 25 = -0*s + 5*s. Suppose 3*i - s*i + 4 = 0. Let u(q) = -5*q + 6 - 4*q + q + q**i. Calculate u(7). -1 Let x(t) = 4*t - 11. Let m(p) = 9*p - 23. Let v(k) = 3*m(k) - 7*x(k). Suppose 0*b - 3*b + 15 = n, -5*n - 15 = 0. What is v(b)? 2 Let r(m) = -4*m - 16. Let f be (-2)/(202/18 - 11). Determine r(f). 20 Let u(h) = h - 10. Suppose -5*s + 57 = c, -3*c - 4 = -s + 1. Calculate u(s). 1 Let w(s) be the first derivative of -s**3/3 + 7*s**2/2 + s - 40. Let a = -5 + 11. What is w(a)? 7 Let k = 37 - 38. Let m(d) = 3*d**2 - 2*d - 9. Let w(s) = -s**2 + s + 4. Suppose 0 = -f - 9 + 6. Let o(u) = f*m(u) - 7*w(u). What is o(k)? -2 Suppose -229 = -27*d + 176. Let k(l) = 4*l - 52. Calculate k(d). 8 Let z(j) = -10*j - 474. Let i be z(-48). Let h(s) = -3*s + 14. Calculate h(i). -4 Let u = -49 - -52. Let s(x) be the second derivative of x - 1/3*x**u + 3/2*x**2 + 0. What is s(6)? -9 Let i(p) = -4*p**2 - 1. Let n(b) = 17*b**2 - 7*b + 8. Let d(t) = -4*i(t) - n(t). Give d(4). 8 Let c(o) = o**3 + o**2 + 2*o. Suppose -3*h = 15, -8*h = 5*g - 4*h - 100. Suppose -22 = -13*k + g*k. Calculate c(k). -8 Let g(h) = 9*h + 7*h**3 - 3*h**3 + 0*h**3 + 8 - 3*h**3 - 10*h**2 + 2. What is g(9)? 10 Let m(c) = 13*c - 54. Let p(v) = 2*v - 7. Let s(k) = m(k) - 7*p(k). Calculate s(-14). 9 Let o be 2 + (-144)/(-15) + 16/40. Let h(x) = x**2 - 10*x - 29. Give h(o). -5 Let q(z) = 302 + 303 + z**2 + 13*z - 589. Give q(-11). -6 Let t(s) = 2*s**2 + 9*s + 1. Let m(a) = a**2 + a. Let p(v) = -3*m(v) + t(v). Let r(c) = -2*c + 19. Let o be r(7). Calculate p(o). 6 Let u = -8 - -11. Let g be 2/u - (-22)/3. Suppose -2 + g = -3*d. Let w(n) = n**3 + 2*n**2 + 2*n + 1. What is w(d)? -3 Let d be (-2)/4*12/(-2). Let h(n) = 3 + 4*n - 5 + 6 - d*n. Suppose 3*q + 5*m - 10 = -0*q, -20 = 5*q + m. Calculate h(q). -1 Let p = -177 - -179. Let a(t) = 3*t. Calculate a(p). 6 Let h(x) be the second derivative of x**4/6 + 5*x**3/6 - 3*x**2/2 + 43*x. Suppose 3*m + 5 = -10. Determine h(m). 22 Let q(f) = -f**2 - 2*f + 13. Suppose -89*i - 12 = -92*i, -r + i = 10. What is q(r)? -11 Let o(r) = -30*r**3 + r. Let q(v) = -v**3 + 29*v**2 + 29*v + 29. Let c be q(30). Determine o(c). 29 Let z(c) = 16*c**2 - 18*c - 1. Let t(m) = -5*m**2 + 6*m. Let w(v) = -7*t(v) - 2*z(v). Determine w(4). 26 Let r(c) = c**2 + 4*c - 6. Let o = -9 + 10. Let u be (0 - 4/o) + -2. Determine r(u). 6 Let k be -8 + (-2 - -4 - -9). Let a(p) = -p**3 + 4*p**2 - p + 1. Calculate a(k). 7 Let w(q) = q**2 - 3*q - 5. Suppose 0 = 2*i - 5*p + 33, 3*i - p = 4*i - 1. What is w(i)? 23 Let r(v) = -v**2. Let n = 0 + 4. Suppose -n*o = -16, 0*o + 5*o - 5 = -5*d. Give r(d). -9 Let s(a) = -a**3 + 5*a**2 - 4*a + 5. Let z be ((-1)/2 - (-9)/10)*-25. Let d = z + 14. What is s(d)? 5 Let p(u) = u - 2. Let m(n) = -2*n**3 + 10*n**2 + 13*n - 3. Let z be m(6). Suppose -5*o - z = -4*j + 4, 2*j = -3*o - 13. Determine p(j). -4 Let c = 10 + -5. Suppose -2*m + 2*r + 1 = -1, c*r = 4*m. Let s(o) be the third derivative of -o**4/24 + 2*o**3 + 76*o**2. Calculate s(m). 7 Suppose 7*v - 120 = 2*v. Suppose -2*m - v = 12. Let z be 4/(-5)*45/m. Let y(g) = g**3 - 2*g + 2. Determine y(z). 6 Let a(o) = o - 37. Let l(z) = -z + 30. Let h(d) = 5*a(d) + 6*l(d). Calculate h(-3). -2 Let j = 814 - 816. Let i(l) = l**3 + 4*l**2 - 3*l - 5. Determine i(j). 9 Let p(y) = -y**3 + 8*y**2 - 4*y + 8. Let r be 4/(15/6 - 2). Calculate p(r). -24 Suppose -5*w - 8 = 4*u - w, -u - 10 = 5*w. Let a(j) = 5*j**3 + 4*j**2 - j - 24. Let f(y) = -y**3 - y**2 + 1. Let p(k) = -a(k) - 4*f(k). Give p(u). 20 Let p(j) be the first derivative of j**2/2 - 16*j - 61. Give p(10). -6 Let l(d) be the second derivative of -d**5/20 + 5*d**4/6 - 11*d**3/6 + 13*d**2/2 - 142*d. Give l(9). -5 Let r(g) = -3*g**2 + 7*g + 3. Let d(h) = -h**2 + h. Let o(z) = 2*d(z) - r(z). Let l(q) = -14*q + 89. Let t be l(6). Calculate o(t). -3 Let z(f) = -f**3 + 4*f**2 - f. Suppose 2 = 2*i, -26 = -3*q + 4*i - 0*i. Let l be q/(-30)*(1 - 13). Calculate z(l). -4 Let s(m) = 2*m + 81382*m**2 - 4 - 3*m - 3*m - 81383*m**2. Let k be 1 + 2 + 0 + 1. Suppose q - x + 1 = 0, -k*q + 0*x - 14 = x. Determine s(q). -1 Let a(k) = 8*k**2 + k. Suppose 2*f = -4*f + 204. Let r = f + -35. Give a(r). 7 Suppose 0 = -3*j - 4 + 16. Let o(b) = -6*b + 2*b + 0*b + 6*b - 5. Let x be o(j). Let m(h) = -h**2 + 2*h + 1. What is m(x)? -2 Let y be -6*7*(-10)/(-105). Let o(t) = t**3 + 3*t**2 - 3*t + 3. Calculate o(y). -1 Let b(u) = 7*u + 1. Suppose 1 = 3*a - 5. Suppose f - 36 + 9 = -5*q, 3*q = a*f + 11. Let d be (-4)/((-32)/(-4))*f. Calculate b(d). -6 Let b(m) be the third derivative of -m**5/60 + m**4/24 + 2*m**3/3 + 22*m**2. Let d be (-36)/(-24)*(0 - 2). Give b(d). -8 Let u(j) be the first derivative of j**6/120 - 7*j**5/60 - j**4/24 - j**3/6 + 9*j**2/2 + 17. Let z(i) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
s divided by 91. 1 Calculate the remainder when 101 is divided by 26. 23 What is the remainder when 98 is divided by 13? 7 What is the remainder when 135 is divided by 51? 33 What is the remainder when 691 is divided by 250? 191 Calculate the remainder when 89 is divided by 86. 3 What is the remainder when 381 is divided by 193? 188 What is the remainder when 4019 is divided by 19? 10 Calculate the remainder when 230 is divided by 54. 14 Calculate the remainder when 54 is divided by 32. 22 Calculate the remainder when 186 is divided by 38. 34 Calculate the remainder when 347 is divided by 7. 4 Calculate the remainder when 29 is divided by 20. 9 What is the remainder when 52 is divided by 6? 4 Calculate the remainder when 4653 is divided by 18. 9 What is the remainder when 1880 is divided by 6? 2 Calculate the remainder when 39 is divided by 28. 11 Calculate the remainder when 222 is divided by 6. 0 What is the remainder when 3686 is divided by 5? 1 Calculate the remainder when 900 is divided by 65. 55 What is the remainder when 613 is divided by 14? 11 Calculate the remainder when 36 is divided by 12. 0 What is the remainder when 109 is divided by 16? 13 What is the remainder when 31 is divided by 11? 9 Calculate the remainder when 2863 is divided by 15. 13 Calculate the remainder when 231 is divided by 63. 42 Calculate the remainder when 566 is divided by 565. 1 What is the remainder when 113 is divided by 6? 5 What is the remainder when 1007 is divided by 84? 83 What is the remainder when 504 is divided by 46? 44 What is the remainder when 490 is divided by 17? 14 What is the remainder when 186 is divided by 39? 30 Calculate the remainder when 2574 is divided by 46. 44 What is the remainder when 189 is divided by 21? 0 What is the remainder when 209 is divided by 21? 20 What is the remainder when 79 is divided by 14? 9 What is the remainder when 2557 is divided by 628? 45 Calculate the remainder when 3169 is divided by 52. 49 Calculate the remainder when 61 is divided by 38. 23 What is the remainder when 65 is divided by 22? 21 Calculate the remainder when 389 is divided by 18. 11 Calculate the remainder when 11 is divided by 5. 1 Calculate the remainder when 104 is divided by 36. 32 Calculate the remainder when 245 is divided by 80. 5 Calculate the remainder when 882 is divided by 221. 219 Calculate the remainder when 76 is divided by 13. 11 What is the remainder when 110 is divided by 6? 2 Calculate the remainder when 1243 is divided by 104. 99 What is the remainder when 144 is divided by 29? 28 Calculate the remainder when 511 is divided by 105. 91 Calculate the remainder when 758 is divided by 82. 20 What is the remainder when 373 is divided by 109? 46 What is the remainder when 571 is divided by 82? 79 Calculate the remainder when 1649 is divided by 164. 9 What is the remainder when 5842 is divided by 34? 28 Calculate the remainder when 502 is divided by 36. 34 Calculate the remainder when 4035 is divided by 119. 108 What is the remainder when 69 is divided by 10? 9 What is the remainder when 2195 is divided by 14? 11 What is the remainder when 239 is divided by 82? 75 Calculate the remainder when 13152 is divided by 15. 12 Calculate the remainder when 439 is divided by 12. 7 What is the remainder when 136 is divided by 49? 38 What is the remainder when 2303 is divided by 460? 3 Calculate the remainder when 451 is divided by 57. 52 Calculate the remainder when 2736 is divided by 456. 0 Calculate the remainder when 377 is divided by 373. 4 What is the remainder when 50 is divided by 4? 2 What is the remainder when 119 is divided by 54? 11 What is the remainder when 2187 is divided by 106? 67 Calculate the remainder when 160 is divided by 15. 10 What is the remainder when 407 is divided by 395? 12 Calculate the remainder when 2009 is divided by 33. 29 Calculate the remainder when 880 is divided by 119. 47 Calculate the remainder when 217 is divided by 20. 17 What is the remainder when 203 is divided by 82? 39 Calculate the remainder when 96 is divided by 50. 46 What is the remainder when 210 is divided by 56? 42 What is the remainder when 416 is divided by 113? 77 Calculate the remainder when 44 is divided by 12. 8 Calculate the remainder when 453 is divided by 91. 89 Calculate the remainder when 159 is divided by 139. 20 What is the remainder when 479 is divided by 149? 32 What is the remainder when 745 is divided by 17? 14 What is the remainder when 1153 is divided by 98? 75 What is the remainder when 235 is divided by 60? 55 Calculate the remainder when 634 is divided by 71. 66 Calculate the remainder when 1034 is divided by 42. 26 Calculate the remainder when 462 is divided by 47. 39 Calculate the remainder when 134 is divided by 31. 10 Calculate the remainder when 110 is divided by 48. 14 What is the remainder when 1001 is divided by 333? 2 What is the remainder when 2620 is divided by 435? 10 Calculate the remainder when 420 is divided by 130. 30 What is the remainder when 737 is divided by 151? 133 What is the remainder when 274 is divided by 47? 39 What is the remainder when 964 is divided by 23? 21 What is the remainder when 1850 is divided by 616? 2 Calculate the remainder when 328 is divided by 300. 28 What is the remainder when 773 is divided by 772? 1 Calculate the remainder when 5379 is divided by 23. 20 What is the remainder when 153 is divided by 31? 29 What is the remainder when 188 is divided by 70? 48 What is the remainder when 1026 is divided by 87? 69 Calculate the remainder when 93 is divided by 12. 9 What is the remainder when 347 is divided by 95? 62 What is the remainder when 2373 is divided by 781? 30 What is the remainder when 8407 is divided by 10? 7 What is the remainder when 260 is divided by 38? 32 Calculate the remainder when 392 is divided by 109. 65 What is the remainder when 21 is divided by 14? 7 What is the remainder when 65 is divided by 35? 30 What is the remainder when 756 is divided by 195? 171 What is the remainder when 541 is divided by 21? 16 What is the remainder when 2837 is divided by 40? 37 What is the remainder when 302 is divided by 104? 94 Calculate the remainder when 2004 is divided by 463. 152 Calculate the remainder when 44 is divided by 28. 16 What is the remainder when 1225 is divided by 394? 43 Calculate the remainder when 3339 is divided by 8. 3 What is the remainder when 2702 is divided by 193? 0 Calculate the remainder when 2229 is divided by 72. 69 Calculate the remainder when 613 is divided by 56. 53 What is the remainder when 70 is divided by 13? 5 What is the remainder when 55941 is divided by 37? 34 What is the remainder when 785 is divided by 263? 259 Calculate the remainder when 40 is divided by 9. 4 What is the remainder when 1273 is divided by 67? 0 What is the remainder when 1966 is divided by 16? 14 Calculate the remainder when 606 is divided by 4. 2 Calculate the remainder when 265 is divided by 92. 81 What is the remainder when 635 is divided by 18? 5 Calculate the remainder when 3063 is divided by 12. 3 What is the remainder when 42353 is divided by 43? 41 What is the remainder when 167 is divided by 48? 23 Calculate the remainder when 103 is divided by 99. 4 Calculate the remainder when 275 is divided by 31. 27 What is the remainder when 169 is divided by 115? 54 Calculate the remainder when 965 is divided by 364. 237 What is the remainder when 3710 is divided by 248? 238 What is the remainder when 402 is divided by 197? 8 Calculate the remainder when 361 is divided by 61. 56 What is the remainder when 1230 is divided by 4? 2 Calculate the remainder when 111 is divided by 32. 15 What is the remainder when 1550 is divided by 363? 98 What is the remainder when 388 is divided by 101? 85 Calculate the remainder when 2355 is divided by 236. 231 Calculate the remainder when 12795 is divided by 27. 24 What is the remainder when 21 is divided by 12? 9 What is the remainder when 726 is divided by 18? 6 Calculate the remainder when 2252 is divided by 14. 12 What is the remainder when 470 is divided by 232? 6 Calculate the remainder when 168 is divided by 9. 6 What is the remainder when 3198 is divided by 14? 6 What is the remainder when 205 is divided by 52? 49 Calculat
{ "pile_set_name": "DM Mathematics" }