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d derivative of 3*i**2 - r*i - 3*i**2 + 11*i**5 + 20*i wrt i? 220*i**3 Find the third derivative of 4*j + 44*j**2 + 19*j**2 + 58907*j**5 - 58389*j**5 wrt j. 31080*j**2 Let t be ((-130)/(-52))/((-39)/(-12) + -2). What is the derivative of 3*u - u**3 + t*u**3 + 58 + 85 - 8*u**3 wrt u? -21*u**2 + 3 Let w(l) = 2818*l**2 + 552*l - 15. Let p(z) = 4227*z**2 + 829*z - 21. Let i(q) = -5*p(q) + 7*w(q). What is the second derivative of i(d) wrt d? -2818 Let u(a) be the third derivative of -901*a**5/6 - 13*a**4/24 - 143*a**3/6 + 9*a**2 - 3*a - 18. What is the second derivative of u(k) wrt k? -18020 Let k be (-36)/(-10)*150/20. Suppose 14*c + 15 = 85. Find the second derivative of k*b + 256*b**c - 221*b**5 - 2*b wrt b. 700*b**3 Let k(n) = 30*n + 266. Let w be k(-7). What is the second derivative of -4*y**2 + 2*y + 3 + w - 26*y**3 + 0 wrt y? -156*y - 8 Let u(w) be the third derivative of 19/20*w**6 + 0*w**4 + 0 - 29/20*w**5 + 0*w + 0*w**3 + 32*w**2. Find the third derivative of u(j) wrt j. 684 Let b(h) be the third derivative of h**7/210 + 5*h**6/12 - 5*h**5/12 + 11213*h**3/6 - 13475*h**2. What is the derivative of b(m) wrt m? 4*m**3 + 150*m**2 - 50*m Let a(w) be the third derivative of 0 + 0*w + 0*w**5 + 0*w**3 + 13/8*w**4 + 1/210*w**7 + 0*w**6 + 18*w**2. Find the second derivative of a(z) wrt z. 12*z**2 Let n be -21 - -24 - (4 + -1). Let w(v) be the first derivative of -13/3*v**3 + 6*v**2 - 12 + n*v. What is the second derivative of w(s) wrt s? -26 Let w(q) be the third derivative of -373*q**5/30 - q**4/24 + 1413*q**3 + 40*q**2 + 52. What is the derivative of w(k) wrt k? -1492*k - 1 Let k(r) be the first derivative of 519*r**5 + 2844*r + 1914. Find the first derivative of k(l) wrt l. 10380*l**3 Let v = 228 + -123. Suppose -6*d + v = 15. What is the second derivative of -2*a**3 + d*a + 14 - 14 wrt a? -12*a Suppose -57*m + 58 + 56 = 0. Find the third derivative of 166*r**5 + 51*r**5 + 52 - 35*r**m - 51 wrt r. 13020*r**2 Let y(k) = -3*k + 85 + 2806*k**2 - k - 3024*k**2. Let v(l) = -428*l**2 - 7*l + 169. Let x(s) = -4*v(s) + 7*y(s). What is the first derivative of x(c) wrt c? 372*c Suppose -7*y - o - 11 = -10*y, 2*o + 2 = y. Find the third derivative of -13*l**4 + 10*l**2 - 7*l**2 + 69*l**y - 4*l wrt l. 1344*l Let a(t) = 2*t. Let g = 22 + -21. Let z be a(g). Find the first derivative of 2*j**2 - 13 - 232*j**4 + 225*j**4 - z*j**2 wrt j. -28*j**3 Let t be -1 + 0 - (-22 - -21). Suppose 0 = 4*l - t*s + 2*s + 2, s + 11 = 3*l. Find the third derivative of 3*d**6 - 12*d**2 + 14*d**6 - 2*d**l wrt d. 2040*d**3 Let i(l) be the third derivative of -2*l**2 - 16/15*l**6 + 0 + 0*l**3 - 8*l + 15/2*l**4 + 0*l**5. Find the second derivative of i(k) wrt k. -768*k Let c be (0 - 3 - -5)*(-17 + 18). Find the third derivative of -36*v**2 + 60*v**c - 32*v**2 - 3 - 2*v**4 + 2*v**5 + 5*v**4 wrt v. 120*v**2 + 72*v Find the third derivative of 354*o**2 - 173 + 2566*o**4 + 340 + 782*o**2 - o**6 - 167 wrt o. -120*o**3 + 61584*o Let j = -14 + 12. Let v be (j/(-4))/1*46. Find the third derivative of -16*d**6 + 27*d**2 - 20*d**2 + v*d**2 wrt d. -1920*d**3 Let p be (54/(-6) - -11)/1. Let y(i) be the second derivative of 0*i**4 + 0*i**p + 0 + 2/5*i**5 - 11*i + 5/6*i**3. What is the second derivative of y(h) wrt h? 48*h Let k(f) = -6*f - 18. Let q be k(-4). Find the third derivative of 7*n - 4*n**3 - 111071*n**6 + 4*n - 4*n + 111077*n**q + 3*n**2 - 2*n wrt n. 720*n**3 - 24 Let r = 90 - 86. What is the derivative of 96 - 48 - 51 + 72*y**r wrt y? 288*y**3 Let l(i) be the second derivative of -2*i**5/5 + 21*i**4/4 + 5065*i**3/3 - 2922*i. Find the second derivative of l(y) wrt y. -48*y + 126 Let x = 21 + -9. Suppose -x*c = -11*c - 14. Find the second derivative of c*k**2 + 8*k + k - 3*k + 2*k wrt k. 28 Find the third derivative of 266*h**2 + 2*h**3 - 2*h**3 + 3*h**4 - 35*h**6 - 93*h**2 + 224*h**2 wrt h. -4200*h**3 + 72*h Let s(b) = -2*b**3 - b**2 + b + 2. Let t(n) = -58*n**4 - 12*n**3 - 3*n**2 - 883*n + 12. Let a(y) = -6*s(y) + t(y). Find the second derivative of a(i) wrt i. -696*i**2 + 6 Let l be 5/30 - 213/(-18). Suppose l*o - 14*o = -10. Find the second derivative of -1492*w**o + 1467*w**5 - 68*w + 19*w wrt w. -500*w**3 Let d(p) be the second derivative of p**7/14 - 14*p**5/5 - 13*p**4/6 - 95*p**3 - p**2/2 - 15*p + 117. What is the second derivative of d(g) wrt g? 60*g**3 - 336*g - 52 Suppose -g + 15454 = -15*y + 10*y, -3*y = 3*g - 46452. What is the first derivative of 15479*a**2 + 2*a + 99 - 6*a**3 - g*a**2 wrt a? -18*a**2 + 2 What is the second derivative of -3409*t + 34*t**2 - 630*t**3 + 21*t**2 + 1337*t**3 - 669*t**3 wrt t? 228*t + 110 Suppose -3*k - v = 2*v - 9, k = 3*v - 1. Let z(i) be the first derivative of 3/2*i**4 + 0*i**3 - i**k + 0*i - 12. What is the second derivative of z(y) wrt y? 36*y Let c(z) = 2*z**2 + 37*z - 15. Let b be ((80/12)/(-10))/(2/57). Let o be c(b). What is the derivative of 5*p**4 - 20 - 12*p**4 - 4*p**o wrt p? -44*p**3 Let r(i) = 7*i**5 + 6*i**2 + 1909*i - 12. Let l(z) = z**5 + z**4 + 4*z**2 - 4. Let t(o) = -3*l(o) + r(o). Find the second derivative of t(f) wrt f. 80*f**3 - 36*f**2 - 12 Let o(q) = -36*q**4 - 6*q**3 - 20*q - 18. Let s(t) = -36*t**4 - 4*t**3 - 19*t - 18. Let v(m) = 2*o(m) - 3*s(m). Find the second derivative of v(h) wrt h. 432*h**2 What is the third derivative of 1281*g**2 - 7*g - 85*g**2 + 8*g - 1661*g**3 - g wrt g? -9966 Let n(f) be the first derivative of 3414*f**5/5 + 148*f - 4766. What is the derivative of n(w) wrt w? 13656*w**3 Suppose 6*v - 23 - 73 = 0. What is the third derivative of -v*p - 7*p**5 - 2*p**5 + 17*p + 9*p**2 wrt p? -540*p**2 Let a(j) be the third derivative of -451*j**7/70 - 977*j**4/24 + 13*j**2 - 29*j. What is the second derivative of a(r) wrt r? -16236*r**2 Let q(i) be the third derivative of 3*i**7/70 + 87*i**6/40 - 11*i**5/30 + 137*i**3/6 - 281*i**2. What is the third derivative of q(x) wrt x? 216*x + 1566 Let v(b) = 28*b - 3*b + b**2 - b. Let p(f) = 24*f. Suppose 2*j + 1 = 11. Let x(z) = j*v(z) - 6*p(z). Find the second derivative of x(i) wrt i. 10 Let n(y) be the third derivative of -y**8/168 + 59*y**7/210 - y**4/12 + 535*y**3/3 + 2186*y**2. Find the second derivative of n(s) wrt s. -40*s**3 + 708*s**2 Let v = -10 + 18. Let p be 3/1*(-1)/(-1) + 0. Find the second derivative of -9*a + v*a + 9*a + 4*a + p*a**4 wrt a. 36*a**2 Let x(a) = 2108*a**3 + 13*a**2 + 6*a + 16. Let u(r) = 10541*r**3 + 66*r**2 + 32*r + 84. Let s(i) = 3*u(i) - 16*x(i). Find the third derivative of s(d) wrt d. -12630 Let q(j) be the first derivative of -2541*j**4/2 - 925*j**3/3 + 731. What is the third derivative of q(v) wrt v? -30492 Let a(o) be the second derivative of -4/3*o**4 + 2*o + 0*o**2 + 4 + 16*o**3. What is the second derivative of a(n) wrt n? -32 Let j(g) = -60*g**2 + 4*g. Let r = -235 - -239. Let v(u) = -59*u**2 + 3*u + 1. Let s(y) = r*j(y) - 3*v(y). What is the second derivative of s(h) wrt h? -126 Suppose 38*r - 150 = -36. What is the third derivative of 28*i**3 - 245*i**4 + 20*i**r + 30*i**3 - 78*i**3 - 12*i**2 wrt i? -5880*i What is the second derivative of 2022*o**2 + 433*o - 4102 + 5061*o**2 + 4102 wrt o? 14166 What is the second derivative of 1163*s - 582*s - 542*s + 2 + 739*s**5 wrt s? 14780*s**3 Let v(n) be the second derivative of -197*n**7/14 - 814*n**3/3 + 53*n + 15. Find the second derivative of v(j) wrt j. -11820*j**3 Suppose -9*w - 23 = -4*o - 14*w, 4*o + w - 11 = 0. What is the second derivative of s**o - 6*s**3 - 2*s**2 + 269*s - 4*s**2 - 24*s + 10*s**2 wrt s? -36*s + 10 Let n(y) = -y**2 - 10*y - 20. Let m be n(-7). Let x(j) be the first derivative of -m + 20 - 2 - 5*j**3 - 4*j. Find the first derivative of x(w) wrt w. -30*w Suppose -57*m - 36 = -60*m. Let t(s) = -s**3 + 6*s**2 + 6*s + 9. Let d be t(7). Find the first derivative of -3*v**d + 10*v**2 - m + 3 wrt v. 14*v Let w = 181 + -177. Suppose 4*i + 4 - 252 = 0. What is the second derivative of 42*o**w - i - 41*o + 62 wrt o? 504*o**2 Let c(u) be the first derivative of 36*u**5/5 - 37*u**4/4 + 11*u**2/2 - 131*u + 11016. What is the second derivative of c(l) wrt l? 432*l**2 - 222*l Let l(u) be the third derivative of 361*u**8/56 + 1189*u**5/20 + 1125*u**2 - 2. Find the third derivative of l(x) wrt x. 129960*x**2 Let t(w) = 982*w**2 - 276*w - 5. Let m(a) = 10*a**2 + a
{ "pile_set_name": "DM Mathematics" }
r: -28/7593 or -1? -1 Is -20859 less than -20859? False Is -2456 at most 10? True Which is bigger: 616237 or 616239? 616239 Is -269 at most -231? True Which is smaller: 358.6 or -0.45? -0.45 Which is smaller: 101/19709 or -1? -1 Which is bigger: -22109 or -22107? -22107 Is -0.1 > -5193943? True Which is smaller: 58038 or 58034? 58034 Which is greater: -0.386 or 256? 256 Which is smaller: 1097/910 or 1? 1 Is 1238 greater than or equal to 8665/7? True Is -54279/100 >= -543? True Which is smaller: -92398/15 or 1/4? -92398/15 Is -9 at least -57/68? False Do -3981 and -39/4 have different values? True Is 0.0846 at least 8? False Do 1850 and -146 have the same value? False Which is smaller: 1 or 41/47? 41/47 Which is greater: -1 or -86/56581? -86/56581 Is 42088 < 1? False Which is greater: -16 or -8246/477? -16 Which is smaller: -18.5049 or 2/13? -18.5049 Is -9612 at least as big as -9615? True Which is smaller: 0 or 349/7476? 0 Is 4873 less than or equal to 4869? False Is -498 less than -290? True Which is bigger: -186 or -102? -102 Which is bigger: 11113 or 11106? 11113 Are -16599 and -82989/5 nonequal? True Is -1009 greater than -1.557? False Which is smaller: 1 or 8/5929? 8/5929 Is 1.2 greater than -4391? True Which is greater: 1 or -4/2429? 1 Is -103149/23 > -4485? True Do -207139 and -207129 have the same value? False Which is bigger: -1132/265 or -3? -3 Which is smaller: 141724 or 141728? 141724 Which is smaller: -4/185 or -2/1159? -4/185 Is 3439 less than or equal to 3429? False Is 114 < 8102/71? True Which is smaller: 1/3 or -397307? -397307 Is -1 greater than 4/3422653? False Is -31415/7 less than or equal to -4489? False Which is smaller: -26/1895 or 1? -26/1895 Which is smaller: -19019 or -19061? -19061 Which is bigger: -1.3 or 5757? 5757 Do 303/10577 and 0 have the same value? False Is 674 >= 2144? False Does 216271 = 216272? False Is 373249 at least as big as 373251? False Which is smaller: -1 or -5/14023? -1 Which is greater: -8/1405 or 1? 1 Which is bigger: 170833 or 6? 170833 Which is bigger: -51048 or 5? 5 Is 4706 < 4661? False Which is greater: 6 or 1219? 1219 Is 1 not equal to -824/45? True Which is smaller: 91980 or 1? 1 Which is smaller: 183 or 2.981? 2.981 Is -24131 greater than or equal to 9? False Which is greater: -376/33 or -0.27? -0.27 Do 300 and -383 have the same value? False Is 1764322 <= 1764323? True Is 14678/65 > 227? False Which is bigger: -178/8387 or 1? 1 Is -47585/143 greater than or equal to -333? True Is 1550 at least as big as 1749? False Which is smaller: 3/233 or -5646? -5646 Are 2362 and 2328 equal? False Is -1916 at least -1/39? False Is -95/36 greater than -7/2? True Is 14672/13 < 1128? False Which is greater: -10474 or -10521? -10474 Which is greater: 101 or -14.08? 101 Which is smaller: 261624 or -10? -10 Which is smaller: -1107.797 or -1? -1107.797 Is 5 >= 276/73? True Is -5572/37 not equal to -151? True Is -1581/11 at least as big as 2/5? False Which is bigger: -1178 or -1098? -1098 Is -41219 > -123656/3? False Is 1178 < 1130? False Which is greater: 2210377 or 0? 2210377 Is 271 greater than or equal to 1101? False Are -2 and -1/7478 non-equal? True Which is bigger: -442 or 1462? 1462 Is 778/3 at least 259? True Which is bigger: -10982/349 or -32? -10982/349 Is -3485 less than or equal to -38326/11? True Which is smaller: 43 or 3068/69? 43 Which is smaller: 3 or -3701? -3701 Which is smaller: 4905 or 0.9? 0.9 Which is greater: 22 or 28? 28 Does 221489 = 664466/3? False Which is smaller: 1288 or 4/11? 4/11 Is -95084 >= -95084? True Which is bigger: -1307190 or -1307191? -1307190 Which is smaller: -16/61 or -1/3? -1/3 Which is smaller: 5322 or 5288? 5288 Is -0.36764 greater than or equal to -46? True Which is greater: 1410/13337 or -1? 1410/13337 Is -2/17052599 smaller than 1? True Is 80 < 6789/85? False Do 6 and 685/134 have the same value? False Is 263104/3 <= 87700? False Which is greater: -66388 or 0.07? 0.07 Which is greater: 39051/4 or 9762? 39051/4 Which is smaller: 71394/113 or 631? 631 Do -611 and -627 have different values? True Which is smaller: 0 or 10/50471? 0 Is 0 < 2/32775? True Is -253/243 > 0? False Which is smaller: -9605 or -9620? -9620 Which is smaller: 13/7905 or 1? 13/7905 Which is bigger: 0.089 or -2/87? 0.089 Which is smaller: 238 or 239? 238 Is 1/4 less than 0.1082727? False Which is smaller: -11790 or -11761? -11790 Which is greater: 1.241 or 1/9? 1.241 Do 8451/22 and 383 have different values? True Is 5/1439 less than 4? True Is -68699/193 at most -357? False Which is smaller: -8150 or -8141? -8150 Is 209647 not equal to 1? True Which is greater: -41762 or -41761? -41761 Which is smaller: 0.3 or 23794? 0.3 Which is bigger: -58 or -1/51? -1/51 Which is greater: -127 or -128? -127 Which is greater: 171335 or 171344? 171344 Which is bigger: -3 or 277.35? 277.35 Which is greater: 113970 or 113971? 113971 Is 259 equal to -1743? False Are 5392 and 0.4 nonequal? True Is -73374 greater than -73376? True Which is bigger: -434363 or 1/4? 1/4 Is -108 <= 97? True Are 11580 and 11579 unequal? True Which is smaller: -32966 or -32963? -32966 Is 385/18 at least -58? True Are 3807.43 and 6 nonequal? True Which is greater: 4504152 or 4504153? 4504153 Is 99584 greater than 99585? False Is 0 greater than or equal to -29216? True Is -4330987 < -4330986? True Are 189658 and 189658 non-equal? False Which is bigger: 14947 or 44840/3? 14947 Which is smaller: 119094/5 or 23820? 119094/5 Which is smaller: -202/11 or -4.4? -202/11 Which is greater: 379 or 13? 379 Is -0.1 < -1046/67? False Is 8064 greater than 8067? False Is 156 at most as big as -3? False Which is greater: -35.41 or 15? 15 Which is greater: -1 or 86/1761? 86/1761 Which is smaller: 17209 or 499086/29? 17209 Is -5665/68 bigger than -82? False Which is bigger: -425101 or -0.1? -0.1 Which is smaller: -57765 or -57767? -57767 Is -0.2 >= -44.014? True Are 4/1503 and -1 nonequal? True Which is smaller: 0 or 68/15? 0 Do 1.7 and 1186 have different values? True Which is smaller: 0 or 6/6211? 0 Which is bigger: 3913 or -119? 3913 Is 0 bigger than -13584? True Is -86 equal to 55? False Which is smaller: -2/9099 or 16? -2/9099 Is -1865061 bigger than -1865060? False Which is smaller: 1 or 3/706205? 3/706205 Which is smaller: -1.8 or -1734? -1734 Is -709482 greater than -3547403/5? False Which is greater: 375388 or 375372? 375388 Which is smaller: 198626 or 198627? 198626 Which is greater: -277 or -37? -37 Is 0 greater than or equal to 127/7818? False Which is smaller: 115294 or 115295? 115294 Which is bigger: -3601 or 250? 250 Which is greater: -193.935 or -1? -1 Is -3278 equal to 2? False Is -621.43 at least -1/2? False Which is bigger: 2 or -35099? 2 Is 1/1062608 greater than or equal to -1? True Which is smaller: -46691 or -93381/2? -46691 Which is greater: 34604 or 34578? 34604 Which is bigger: 56045 or 56050? 56050 Which is greater: 13320 or 146535/11? 146535/11 Is -3338 not equal to -3374? True Are -10655 and -5 nonequal? True Which is greater: -1 or 5346? 5346 Is -2/9811 at least 15? False Which is smaller: 9382 or 9429? 9382 Is 0 <= 95/4444? True Is -4898 <= -4895? True Is -0.1 bigger than -245826/11? True Are 15 and 24259 nonequal? True Which is smaller: 99447/10 or 9945? 99447/10 Is 1118 greater than 25740/23? False Are -14779 and -88681/6 nonequal? True Which is smaller: -15642 or -15637? -15642 Are 26346 and 10 nonequal? True Which is bigger: 1249270/7 or 178466? 1249270/7 Is -3/1959116 less than or equal to -1? False Is -1857328 at most -1857328? True Which is greater: -3 or -159701/5? -3 Which is smaller: -261 or -515? -515 Which is smaller: -1 or -2337/3626? -1 Which is smaller: -238 or 22? -238 Which is bigger: -1/3 or 12/2897? 12/2897 Which is smaller: 1 or -2/2532727? -2/2532727 Is 2452 less than -124? False Which is smaller: 58811 or 58802? 58802 Is 1 <= -3680/13? False Does -1212258 = -1212257? False Is 2/79 > 0.017? True Which is smaller: 186289 or 186290? 186289 Which is greater: 169 or 6729/40? 169 Are -85 and -26482/313 unequal? True Are 0.03113 and -45 nonequal? True Which is smaller: -1648/1147 or -2? -2 Which is smaller: 2083518 or -2/11? -2/11 Is -1 equal to 304? False Is -3626 at most -3599? True Which is greater:
{ "pile_set_name": "DM Mathematics" }
0? 0.5 What is the closest to 2/7 in -889/3, -2/3, -4, 2/9? 2/9 Which is the nearest to 4? (a) -1/4 (b) 6 (c) -10.06 b What is the nearest to 16 in -19, -1/3, 0.0185? 0.0185 Which is the nearest to -1/5? (a) 1399 (b) 2/9 (c) 5 (d) -5 b What is the nearest to 289 in 117, -5, -3? 117 What is the closest to -0.2 in -0.9, -0.086, -1? -0.086 What is the nearest to 2/21 in -3, -0.2, -5252? -0.2 What is the closest to -0.4 in -0.4, -0.01, 3/10? -0.4 Which is the nearest to -0.0515? (a) 0.5 (b) -2/9 (c) -0.2 (d) -2/13 d What is the closest to -88 in 1/18, 4, -13, -4? -13 What is the closest to 0.2 in -0.07, 3167, 5? -0.07 Which is the closest to -0.2? (a) 90/11 (b) -0.3 (c) -3/7 (d) -5/11 b What is the nearest to 0 in -2/17, -17.7, 2/3, 79, 1? -2/17 What is the closest to 0.2 in 1/2, 1.7, -54, 4, -0.4? 1/2 Which is the nearest to 18? (a) 0.08 (b) 1/9 (c) -1/2 b What is the closest to 55 in -0.4, -14, 6.2, -4? 6.2 Which is the closest to -24? (a) 22 (b) 1 (c) -0.8 c Which is the closest to -0.287617? (a) 1 (b) 4 (c) -0.1 c What is the closest to -1 in 5, 0.086, 4? 0.086 Which is the closest to 1? (a) 4 (b) -0.1 (c) -0.5 (d) -0.662 b Which is the closest to 4? (a) 30 (b) -70 (c) 0.3 (d) 2 (e) -1 d What is the closest to 1/12 in 0.3, -0.005, 1.9? -0.005 Which is the nearest to 1? (a) 31.9 (b) -7/2 (c) -8 b What is the nearest to 82223 in 2, 0.5, 1? 2 Which is the nearest to -5? (a) -2 (b) 0.4 (c) 1321 (d) 0.3 a Which is the closest to -1/3? (a) 3 (b) -18498 (c) 12 a What is the nearest to 671 in 0.2, 1/9, -2/33, -3, 0.5? 0.5 Which is the closest to 1? (a) 218 (b) 6 (c) -21 (d) 0.7 d What is the nearest to 4 in -1/2, -11.3, -33? -1/2 Which is the closest to -1/2? (a) -5 (b) 17 (c) -1 (d) -48 c Which is the nearest to -1? (a) -0.3 (b) 4/3 (c) 5 (d) -13882 a Which is the nearest to 1? (a) -0.15 (b) 407/7 (c) 1/8 c What is the nearest to -2/595 in 4.3, 0.2, 2? 0.2 Which is the closest to 0? (a) -7.5 (b) -1/3 (c) -2 (d) -4 b Which is the nearest to 0.01? (a) 0.4 (b) 0.5 (c) -2202/13 a Which is the nearest to 245? (a) 3 (b) 6 (c) 0.04 b Which is the nearest to 42? (a) 4 (b) -0.069 (c) 1/2 (d) 1/4 a Which is the closest to 9? (a) -319 (b) -2.3 (c) 4 c What is the closest to 10 in 5, -0.37, -1/4, -1? 5 What is the closest to 2 in 0.5, 588, -1/4, 0? 0.5 What is the nearest to 2 in 2, -3, -32/101? 2 What is the nearest to 2/13 in 19409, -2/7, 3/2? -2/7 What is the nearest to 1/2 in 4/7, 1/7190, 2/3? 4/7 What is the closest to -15 in -2, -105, -29? -2 Which is the closest to 1/109? (a) 0.2 (b) 16 (c) 3 a What is the closest to 0.1 in -2/11, 19, -0.4, -17? -2/11 Which is the closest to 0? (a) -14.213 (b) 0 (c) 4 b Which is the nearest to -1? (a) -0.4 (b) 0.43 (c) 1/6 (d) 2/11 a Which is the closest to 1/3? (a) -57 (b) -27 (c) -2 (d) 7 c What is the nearest to 0 in 1/2, 535/6, 12? 1/2 What is the closest to -41/66 in 0, -2, 1? 0 What is the closest to 2/5 in -3, 30, 2.2, 1, 0.1? 0.1 Which is the closest to 2/15? (a) 8721 (b) 0.5 (c) -5/4 b What is the closest to 0.1 in 9, 178/5, -1? -1 What is the closest to 7 in 1, -6, 10? 10 What is the closest to -4 in -6, -0.5, 83.2? -6 Which is the closest to -5/2? (a) -74 (b) -1/10 (c) -15 b Which is the closest to -119/3? (a) 5 (b) 36 (c) -0.2 c What is the nearest to -2/9 in -4/9, 780, -0.3? -0.3 What is the closest to 0.1 in 0, -0.03, -7/47, 4, -2/9? 0 What is the nearest to 1 in 4/5, -0.4, 5, 138? 4/5 Which is the nearest to -0.3? (a) 6068 (b) 0.11 (c) 0.1 (d) -0.3 d What is the closest to -1 in 0.4, 3, 0.5712? 0.4 Which is the closest to 7? (a) 5 (b) 52 (c) -7 (d) 10 (e) 0.3 a What is the nearest to -5/9 in 3/2, 13, -3, -2? -2 Which is the closest to 0.1? (a) 3/7 (b) 2/11 (c) 36/121 (d) 0 b Which is the nearest to -1/23? (a) 0 (b) 2/5 (c) 7 a Which is the nearest to -29? (a) 0.1 (b) 0.5 (c) 8 (d) -1/6 (e) 4 d What is the closest to 15 in -8/33, 1/62, 1/6? 1/6 What is the nearest to -266 in 5, -2/11, -2/3, -10? -10 Which is the nearest to 0.5? (a) 1 (b) 884 (c) -2/11 a Which is the nearest to 10? (a) 39/83 (b) 0 (c) -2/9 a Which is the nearest to -571? (a) -0.1 (b) -0.4 (c) 0.4 (d) -0.5 (e) 5 d Which is the nearest to -4/3? (a) 0 (b) 133/18 (c) -12/7 c What is the closest to 5845 in -0.2, 0, -3, -0.1? 0 Which is the closest to 3/4? (a) 2/11 (b) 0 (c) 373 (d) -0.2 a What is the nearest to -4 in -0.34, 13.6, 2/15, 1? -0.34 What is the nearest to -1/370 in -0.1, 0, -3, 2/3, 2.4? 0 Which is the nearest to 0.1? (a) -0.1 (b) 462934 (c) -0.4 a What is the closest to 3/7 in -0.1, 12, 1/2, 19? 1/2 What is the nearest to 76/7 in 8, 40, 0.1? 8 Which is the closest to -126? (a) 8 (b) 5 (c) -5 c What is the closest to -1 in 0.3, 1/6, 7/3, 3.5? 1/6 Which is the closest to -6? (a) 74.38 (b) 1/11 (c) -1/2 c What is the nearest to 95/28 in 0.5, -0.5, 5? 5 What is the closest to 1/3 in -1, 2.479, -6? -1 What is the nearest to -1 in -0.2, 10029, 0.5, -1/8, -2/3? -2/3 Which is the closest to 1? (a) 2/11 (b) 1588 (c) -0.8 a Which is the nearest to -2/213? (a) 5 (b) -5 (c) 0 c What is the closest to 17 in -0.3, -2/5, -2, 2/5, -1/6? 2/5 What is the closest to -6 in 3/2, -0.5, 6/11, -0.01? -0.5 What is the closest to 0 in -457, -1, -3, 2.4, -1/4? -1/4 What is the closest to -164 in 3, 4, -2/5, 0.7? -2/5 Which is the nearest to 0.2? (a) 228 (b) 0 (c) 1 (d) 1.7 b Which is the nearest to -1/11? (a) -3 (b) 0 (c) 1.58 (d) 2 b What is the closest to 2/3 in 58, 0.2, 52? 0.2 What is the nearest to -2/17 in 66, 5, -0.2, -0.012? -0.2 Which is the nearest to 2? (a) 3 (b) 8 (c) -5 (d) -1/7 a What is the nearest to -2/11 in 1/4, 6, 2/11, -2? 2/11 What is the closest to -2 in -1, 0.4, -55, 0.2? -1 Which is the closest to 0.17? (a) 1735 (b) 0.2 (c) -0.09 (d) 4 b Which is the closest to 0.1? (a) -33 (b) -54 (c) 1/5 (d) 5 c What is the closest to -1/4 in 5/3, 1, -1, 0.2, -2386? 0.2 What is the nearest to -5.7 in -4, -0.66, 2? -4 Which is the nearest to 0.046? (a) 13 (b) 2 (c) 10.1 (d) -0.5 d What is the nearest to -26/9 in 0.4, 0.21, 1/2, 2? 0.21 Which is the closest to 2? (a) -278 (b) 0.4 (c) -2/5 (d) -2/215 b Which is the closest to -2/21? (a) 0 (b) -0.008 (c) 1/2 (d) 3 (e) -1/42 e What is the closest to 3/5 in 0.2, 3, -15.7, 30? 0.2 What is the nearest to -2 in 7, -2/31, -0.2, -3/5, 9? -3/5 Which is the nearest to -579? (a) 3/2 (b) 1/7 (c) 39 b Which is the closest to -439? (a) 9 (b) -3 (c) 1/5 (d) 5 b What is the closest to -0.04 in -1/8, 4, -1/2, -0.108? -0.108 What is the closest to -0.08671 in -0.4, 4, 7? -0.4 What is the closest to -0.1 in 7, -0.08, -10, -113, 3? -0.08 Which is the nearest to -4/7? (a) -425 (b) 0 (c) -0.5 (d) -75 c What is the closest to 2/4693 in 2, -2, -18? 2 What is the closest to -4 in 6, 4, -0.06, 2/7? -0.06 Which is the nearest to 0? (a) 347 (b) -1/2 (c) 3 (d) -1 b Which is the closest to 0? (a) 151 (b) -4 (c) 1 (d) -7 c What is the nearest to 0 in -0.4, -2, 1/3, 0, 28? 0 Which is the nearest to 2/3? (a) 3/2 (b) -5 (c) -5/6 (d) 9 a Which is the closest to 2? (a) 0 (b) 390 (c) -3/2 a Which is the closest to 0.1? (a) 3 (b) 17 (c) -5 (d) -4 a Which is the nearest to 3? (a) 3 (b) -0.1 (c) -5 (d) -234/49 a Which is the nearest to 1.2? (a) 1/65 (b) -1/6 (c) -3/8 (d) -0.2 a Which is the nearest to -8? (a) -0.1 (b) 0.4 (c) 4 (d) 0.2 (e) -1/5 e Which is the nearest to 2/659? (a) -17 (b) -5 (c) -3 c What is the closest to 2/191 in 0.1, 0.6, -17, 0.4? 0.1 Which is the closest to -115? (a) -4 (b) 63 (c) -1/2 (d) -2 a What is the nearest to -0.2 in 399, 0.1, -1? 0.1 What is the nearest to 0 in -49, -7, 2/7, -3/5? 2/7 What is the closest to -0.02 in 4, 5, 1, 7, 0.018? 0.018 What is the nearest to -0.19 in 4, -4, 219.1? -4 What is the closest to 1 in -13, -2/15, -1/90, 1/4? 1/4 Which is the closest to -0.1? (a) -1152 (b) -5 (c) -0.13 (d) 1/7 c Which is the nearest to 4/9? (a) -0.5 (b) 254/3 (c) -2 a Which is the nearest to 5? (a) 8 (b) -12051 (c) 3/4 a What is the nearest to -0.2 in -3/2, 0.5, -3, 4, 1.29? 0.5 Which is the nearest to 0? (a) 2 (b) 0.3 (c) -254749 b What is the closest to 19 in 2, 1.01
{ "pile_set_name": "DM Mathematics" }
se 507*y = 465*y - 42. What is n*r(k) + y*m(k)? 2*k + 2 Let k(x) = -x**2 - 2*x - 2. Let j(t) = 2*t**2 + 5*t + 4. Let r = -232 - -303. Suppose 30 = -61*w + r*w. Determine w*j(m) + 7*k(m). -m**2 + m - 2 Let r(o) = -1. Let j = 374 + -367. Let m(i) = 3*i + 9*i**2 + 0*i + 4*i - j*i + 6. Give m(d) + 6*r(d). 9*d**2 Let y(d) = 2*d**2 + 4. Let x(z) be the first derivative of -2*z**3/3 - 5*z - 6086. Let h(b) = -b + 1. Let i be h(-2). Give i*x(o) + 2*y(o). -2*o**2 - 7 Let t(a) = -27122 + 6*a + 6*a + 27119. Let i(b) = -4*b + 4 - 2*b - 3 + 2*b. Calculate -8*i(q) - 3*t(q). -4*q + 1 Let f(p) = 15*p**2 + 3 - 4 - 11*p**2 - 3 + 6*p. Let j(a) be the third derivative of 3*a**5/20 + 13*a**4/24 - 3*a**3/2 - 52*a**2. Give 13*f(v) - 6*j(v). -2*v**2 + 2 Let m(o) = 175*o**3 - 36*o**2 + 13*o - 9. Let v(u) = 96*u**3 - 19*u**2 + 7*u - 5. What is 6*m(n) - 11*v(n)? -6*n**3 - 7*n**2 + n + 1 Suppose -4*m - 11 = 3*x - 39, -x - 8*m + 36 = 0. Let r(g) = -9*g + 2. Let b(c) = -17*c + 4. Give x*b(o) - 7*r(o). -5*o + 2 Let j be (-4998)/(-986) - (-4)/(-58). Let z(t) = t**2 - 3*t + 4. Let n(i) = 2*i**2 - 5*i + 7. Calculate j*z(m) - 3*n(m). -m**2 - 1 Let q be ((-8)/6)/(398/597). Let p(l) = -3*l**2 + 3. Let t(g) = -g + 1. Determine q*t(a) - p(a). 3*a**2 + 2*a - 5 Let j(l) be the second derivative of -l**5/20 + l**4/6 - 2*l**3/3 - l**2/2 + 1277*l. Let c(d) = d**3 - d**2 + 3*d. What is -4*c(k) - 3*j(k)? -k**3 - 2*k**2 + 3 Let h(k) = -30*k**3 + 4*k**2 + 4*k + 28. Let p(i) = 13*i**3 - 2*i**2 - 2*i - 14. Determine -4*h(f) - 9*p(f). 3*f**3 + 2*f**2 + 2*f + 14 Let f(l) = -28391050*l - 14622. Let r(d) = 9708*d + 5. What is -5*f(n) - 14622*r(n)? 4874*n Let a(y) be the third derivative of y**6/120 - y**5/15 + y**3/3 - 5928*y**2. Let h(x) = 2*x**3 - 9*x**2 + 5. What is 5*a(f) - 2*h(f)? f**3 - 2*f**2 Let i(n) be the first derivative of -7*n**2/2 + n + 13855. Let h(q) = q. Let f(p) = 4*p. Let t(z) = f(z) - 5*h(z). Calculate -i(r) + 4*t(r). 3*r - 1 Let a(j) = -5*j - 3. Suppose 3*s - n - 63 + 53 = 0, 2*n + 8 = 2*s. Let t(g) = -g - 1. Give s*t(w) - a(w). 2*w Let i(a) = 34*a**2 + 38*a - 19. Let d(m) = -6*m**2. Give -6*d(f) - i(f). 2*f**2 - 38*f + 19 Let z(k) = k**3 - 45*k**2 + 11*k - 522. Let w be z(45). Let m(t) = -144*t + 27. Let x(b) = 11*b - 2. Give w*x(r) - 2*m(r). -9*r Let f(y) = 41*y**3 + 44*y**2 - 4*y + 1. Let z(p) = -72*p**3 - 89*p**2 + 7*p - 1. What is -7*f(r) - 4*z(r)? r**3 + 48*r**2 - 3 Let g(h) be the second derivative of 5*h**4/12 + 3*h**2/2 + 1534*h. Let k(w) = -w**2. Determine g(v) + 4*k(v). v**2 + 3 Let q(k) = -2*k**2 + k + 6. Let f(a) be the second derivative of a**2/2 - 6*a + 67. What is -2*f(w) + q(w)? -2*w**2 + w + 4 Let t = -5247 + 5253. Let r(c) = 4*c**2 + 7*c + 7. Let q(i) = i + 1. Give t*q(w) - r(w). -4*w**2 - w - 1 Let q(s) = 120*s**2 - 132*s - 132. Let b(a) = -2583*a**2 + 5191*a**2 - 1 - 2607*a**2 - a. Determine -264*b(g) + 2*q(g). -24*g**2 Let h(f) = -2*f + 21. Let i = -306 - -315. Suppose -4*w = 3*r - 1, -2*w + 46 = -5*r + 13. Let s(c) = c - 10. Calculate i*s(x) + w*h(x). x - 6 Let a(h) = 15*h**2 - 16*h + 20. Let k(i) = 15*i**2 - 19*i + 23. Determine -7*a(f) + 6*k(f). -15*f**2 - 2*f - 2 Let i(w) = w**2 - w - 16. Let x(s) = 12*s**3 + 5*s**2 - 4*s - 94. What is -6*i(p) + x(p)? 12*p**3 - p**2 + 2*p + 2 Let d(n) = -n**2 + n + 16. Let k(c) = 9*c**2 + 2*c + 102. Let h(w) = 7*w**2 + 2*w + 85. Let j(y) = 5*h(y) - 4*k(y). Calculate -3*d(p) + 2*j(p). p**2 + p - 14 Let k(y) = -y - 1. Suppose 120 = j + 7*j. Let w(x) = -j + 129*x - 66*x - 69*x. What is -15*k(z) + w(z)? 9*z Let p(y) = 80 - 13*y**2 - 22*y + 26*y - 9*y - 89. Let a(n) = 20*n**2 + 8*n + 13. Determine -5*a(g) - 8*p(g). 4*g**2 + 7 Let r(o) = -15*o - 230. Let s(f) = 9. Give -r(z) - 20*s(z). 15*z + 50 Let k(m) = 5*m + 2. Let t(b) = 14*b + 6. Suppose 3*g + g = 0. Suppose g = 2*p + 10, 0 = 5*d + p - 0*p + 175. Let a = d - -37. What is a*t(x) - 8*k(x)? 2*x + 2 Let x(l) = 3*l**3 - 7. Let d(z) be the first derivative of z - 4055. Determine -14*d(u) - 2*x(u). -6*u**3 Let o(d) = 37*d + 5. Let l(v) = 186*v + 24. What is 3*l(s) - 14*o(s)? 40*s + 2 Let m(v) = -13*v**3 - 5*v + 8. Let g(o) be the second derivative of -9*o**5/20 - o**3/2 + 5*o**2/2 - 2557*o. What is -8*g(q) + 5*m(q)? 7*q**3 - q Let z(i) = i - 1. Let k(j) = j**2 + j - 2. Let c(g) = -g**2 - 3*g + 13. Let a(p) = -c(p) - 6*k(p). Determine a(u) + z(u). -5*u**2 - 2*u - 2 Let d(k) = 26*k**3 + 55*k**2 + 5. Let v(o) = -66*o**3 - 138*o**2 - 12. Calculate 12*d(m) + 5*v(m). -18*m**3 - 30*m**2 Suppose 8 = 13*t - 9*t + 4*c, 0 = -3*t + 2*c + 6. Let r(d) = -2599 - d**2 + 7*d + 2600 + 0*d**t. Let n(k) = k**2 - 11*k - 2. What is -5*n(b) - 8*r(b)? 3*b**2 - b + 2 Let z(b) = 998. Let r(j) = -j + 2993. What is -2*r(v) + 7*z(v)? 2*v + 1000 Let s = 2302 + -2307. Let b(f) = 11*f + 23. Let q(a) = 7*a + 15. Calculate s*b(t) + 8*q(t). t + 5 Let h(a) = a - 8. Let g(l) = l - 2. Let o(t) = 5*g(t) - h(t). Let r(y) be the first derivative of -y**2 + y - 11. Calculate 6*o(c) + 13*r(c). -2*c + 1 Let j(l) be the third derivative of 0*l**3 + 0*l - 85*l**2 - 5/24*l**4 - 1/20*l**6 + 1/12*l**5 + 0. Let n(c) = 9*c**3 - 7*c**2 + 7*c. What is -7*j(v) - 5*n(v)? -3*v**3 Let l(y) = 434*y - 18 + 439*y + 422*y - 1292*y. Let s(b) = -4*b + 19. Give 3*l(j) + 2*s(j). j - 16 Let s(n) = 3*n - 6. Let o(m) be the third derivative of -m**4/24 + m**3/2 - 754*m**2. Determine -10*o(r) - 4*s(r). -2*r - 6 Let k(w) = 721*w**3 - 2*w**2 - 5*w. Let j(p) = -5768*p**3 + 17*p**2 + 42*p. Determine 6*j(a) + 51*k(a). 2163*a**3 - 3*a Let h(c) = -45*c**3 - 9*c**2. Let y = 99 - 97. Let r(b) = 11*b**3 + 2*b**2. Suppose 6*t = 46 + 8. Give t*r(m) + y*h(m). 9*m**3 Let p(c) = 1104*c**2 + 84*c. Let w(v) = 71*v**2 + 5*v - 156. Let g(q) = -141*q**2 - 10*q + 286. Let r(b) = -6*g(b) - 11*w(b). Give -5*p(i) + 84*r(i). -60*i**2 Let m(q) = -5*q**2 - 2*q - 1. Let p(s) = -11*s**2 - 3*s - 2. Suppose -64*j = 124*j - 564. What is j*p(t) - 5*m(t)? -8*t**2 + t - 1 Let a(k) = 4*k**2 + 3*k + 2. Let d(m) be the first derivative of -7*m**3/3 - 7*m**2/2 - 3*m + 2448. Determine 5*a(n) + 3*d(n). -n**2 - 6*n + 1 Let l(c) = -39*c - 62. Let k(d) = 116*d + 188. Determine -5*k(p) - 16*l(p). 44*p + 52 Let g(d) = 316*d + 23. Let j(y) = 314*y + 20. Give -6*g(t) + 7*j(t). 302*t + 2 Let d(v) = v**3 + 1. Let n(k) = -k**3 + 27*k**2 + 61*k - 91. Let u be n(29). Let g(w) = 2*w**3 - w**2 + w - 2. What is u*d(a) - 2*g(a)? -8*a**3 + 2*a**2 - 2*a Let t(n) = 6*n**2 - 7*n + 5. Let s(u) = 5*u**2 - 6*u + 4. Let o = 303 + -347. Let y be o/(-10) - 126/(-210). Calculate y*s(k) - 4*t(k). k**2 - 2*k Let m(n) = -15*n - 1. Let x(l) = -1102*l - 5. Give 15*m(w) - 3*x(w). 3081*w Let q(m) = -11*m + 2. Let d(s) = -28*s - 3. Let i(l) = 4*l - 8. Let y(x) = -d(x) + i(x). Give 17*q(k) + 6*y(k). 5*k + 4 Let g(o) = -2*o**2 + 5*o + 1. Let s = -13535 - -13533. Let h(t) = 2*t**2 - 5*t - 1. What is s*g(c) - 3*h(c)? -2*c**2 + 5*c + 1 Let q(c) = 9*c**2 + 5*c + 9. Let g(f) = -439*f**2 + 217*f**2 - 8*f + 208*f**2 - 14. Determine 5*g(a) + 8*q(a). 2*a**2 + 2 Let g(d) = -38*d**3 + 14*d**2 + 1416*d. Let y(s) = -13*s**3 + 5*s**2 + 471*s. Calculate 5*g(z) - 14*y(z). -8*z**3 + 486*z Let k(v) = 9*v**3 - v**2 + 4*v - 4. Suppose -4*g = g - 5. Let a(c) = -2*c - 1. Let z(n) = g*k(n) + 2*a(n). Let b(w) = -3*w**3 + 2. What is -7*b(o) - 2*z(o)? 3*o**3 + 2*o**2 - 2 Let p(n) be the third derivative of -n**5/15 - 5*n**3/6 - 4780*n**2. Let x(s) = -2 - 2*s**2 + 0*s**2 + 0*s**2. What is 4*p(y) - 10*x(y)? 4*y**2 Let y(l) = 17*l - 270. Let i be y(16). Let v(r) = 2*r**2 - r. Let m(t) = 4*t**2 - 3*t - 1. Determine i*m(p) - 5*v(p). -2*p**2 - p - 2 Let s(k) = 2*k**2 + 8*k - 4. Let a(x) = -2504 - 4*x - 2511 - 4*x - x**2 + 5016 + 7*x. Let q = -3 - -2. Determine q*s(t) - 3*a(t). t**2 - 5*t + 1 Let z(h) = 93*h + 37. Let k(n) = -162*n - 73. Let j(u) = -4*k(u) - 7*z(u). Let r(x) = -x + 11. Calculate -6*j(f) + 17*r(f). f - 11 Let j(f) = 4*f + 22. Let u(x) = 20*x + 116. Let r(c) = 16*j(c) - 3*u(c). Let z(k) = 9*k + 7. Let w = 35 + -30. Calculate w*r(h) - 2*z(h). 2*h + 6 Let r(q) = 3*q - 1201. Let y(o) = 2*o - 1214. Calculate 3*r(n) - 4*y(n). n + 1253 Let m(d) = 14*d - 4. Let q = -2524 + 2513. Let i(a) = -27*a + 7. Let l = -1 - 5. Give l*i(k) + q*m(k). 8*k + 2 Let w(s) = 29*s - 11. Let b(i) = -527*i + 1 + 517*i + 2 + 1. Suppose -d = 3*v - 3 - 1, -4*d -
{ "pile_set_name": "DM Mathematics" }
181 List the prime factors of 50581. 50581 List the prime factors of 26183. 26183 List the prime factors of 12644. 2, 29, 109 List the prime factors of 30587. 73, 419 What are the prime factors of 13776? 2, 3, 7, 41 List the prime factors of 751. 751 What are the prime factors of 4245? 3, 5, 283 What are the prime factors of 3472? 2, 7, 31 List the prime factors of 65943. 3, 17, 431 What are the prime factors of 2509? 13, 193 What are the prime factors of 5196? 2, 3, 433 List the prime factors of 54935. 5, 10987 List the prime factors of 25886. 2, 7, 43 List the prime factors of 19635. 3, 5, 7, 11, 17 List the prime factors of 439. 439 What are the prime factors of 50? 2, 5 List the prime factors of 7116. 2, 3, 593 What are the prime factors of 7166? 2, 3583 What are the prime factors of 17292? 2, 3, 11, 131 What are the prime factors of 26304? 2, 3, 137 What are the prime factors of 13583? 17, 47 List the prime factors of 12824. 2, 7, 229 What are the prime factors of 3145? 5, 17, 37 List the prime factors of 440. 2, 5, 11 What are the prime factors of 161? 7, 23 List the prime factors of 14567. 7, 2081 List the prime factors of 562. 2, 281 What are the prime factors of 21900? 2, 3, 5, 73 What are the prime factors of 10301? 10301 What are the prime factors of 147? 3, 7 What are the prime factors of 910? 2, 5, 7, 13 List the prime factors of 428. 2, 107 List the prime factors of 1946. 2, 7, 139 List the prime factors of 2040. 2, 3, 5, 17 What are the prime factors of 66411? 3, 47, 157 What are the prime factors of 31553? 139, 227 What are the prime factors of 23484? 2, 3, 19, 103 List the prime factors of 75223. 75223 List the prime factors of 179041. 179041 List the prime factors of 969. 3, 17, 19 List the prime factors of 3635. 5, 727 List the prime factors of 11945. 5, 2389 List the prime factors of 91069. 11, 17, 487 List the prime factors of 912. 2, 3, 19 What are the prime factors of 12087? 3, 17, 79 What are the prime factors of 7231? 7, 1033 List the prime factors of 13276. 2, 3319 What are the prime factors of 42? 2, 3, 7 List the prime factors of 3421. 11, 311 What are the prime factors of 764? 2, 191 List the prime factors of 20325. 3, 5, 271 What are the prime factors of 18379? 18379 List the prime factors of 64547. 7, 9221 List the prime factors of 4844. 2, 7, 173 What are the prime factors of 35325? 3, 5, 157 What are the prime factors of 3331? 3331 What are the prime factors of 74237? 61, 1217 What are the prime factors of 4424? 2, 7, 79 What are the prime factors of 1825? 5, 73 List the prime factors of 389. 389 What are the prime factors of 170267? 170267 What are the prime factors of 12608? 2, 197 What are the prime factors of 1412? 2, 353 List the prime factors of 772. 2, 193 List the prime factors of 90341. 61, 1481 What are the prime factors of 892? 2, 223 What are the prime factors of 20092? 2, 5023 What are the prime factors of 10190? 2, 5, 1019 List the prime factors of 12605. 5, 2521 What are the prime factors of 7876? 2, 11, 179 List the prime factors of 5602. 2, 2801 List the prime factors of 4340. 2, 5, 7, 31 List the prime factors of 1055. 5, 211 What are the prime factors of 2484? 2, 3, 23 List the prime factors of 443. 443 What are the prime factors of 2036? 2, 509 What are the prime factors of 98169? 3, 43, 761 What are the prime factors of 917? 7, 131 List the prime factors of 527. 17, 31 List the prime factors of 804. 2, 3, 67 List the prime factors of 43612. 2, 10903 What are the prime factors of 13454? 2, 7, 31 List the prime factors of 81008. 2, 61, 83 What are the prime factors of 18144? 2, 3, 7 List the prime factors of 82651. 82651 List the prime factors of 11223. 3, 29, 43 What are the prime factors of 4953? 3, 13, 127 List the prime factors of 1725. 3, 5, 23 What are the prime factors of 31776? 2, 3, 331 What are the prime factors of 1820? 2, 5, 7, 13 What are the prime factors of 77742? 2, 3, 7, 617 What are the prime factors of 45199? 7, 11, 587 What are the prime factors of 19607? 7, 2801 List the prime factors of 184565. 5, 36913 List the prime factors of 282. 2, 3, 47 What are the prime factors of 7554? 2, 3, 1259 List the prime factors of 447. 3, 149 What are the prime factors of 615? 3, 5, 41 What are the prime factors of 13264? 2, 829 What are the prime factors of 20746? 2, 11, 23, 41 What are the prime factors of 12531? 3, 4177 What are the prime factors of 339? 3, 113 List the prime factors of 10915. 5, 37, 59 What are the prime factors of 2194? 2, 1097 List the prime factors of 963. 3, 107 What are the prime factors of 1192? 2, 149 List the prime factors of 3976. 2, 7, 71 List the prime factors of 31209. 3, 101, 103 List the prime factors of 3369. 3, 1123 List the prime factors of 50772. 2, 3, 4231 What are the prime factors of 1614? 2, 3, 269 List the prime factors of 1284. 2, 3, 107 List the prime factors of 11258. 2, 13, 433 List the prime factors of 1211. 7, 173 What are the prime factors of 369? 3, 41 List the prime factors of 3561. 3, 1187 What are the prime factors of 4170? 2, 3, 5, 139 What are the prime factors of 288? 2, 3 What are the prime factors of 119? 7, 17 What are the prime factors of 1584? 2, 3, 11 What are the prime factors of 8661? 3, 2887 What are the prime factors of 3012? 2, 3, 251 List the prime factors of 25105. 5, 5021 What are the prime factors of 105874? 2, 52937 List the prime factors of 876. 2, 3, 73 List the prime factors of 85918. 2, 7, 17, 19 List the prime factors of 39620. 2, 5, 7, 283 What are the prime factors of 2666? 2, 31, 43 List the prime factors of 1128. 2, 3, 47 What are the prime factors of 2108? 2, 17, 31 List the prime factors of 6682. 2, 13, 257 List the prime factors of 34409. 19, 1811 List the prime factors of 1080. 2, 3, 5 List the prime factors of 373. 373 What are the prime factors of 747? 3, 83 List the prime factors of 652. 2, 163 What are the prime factors of 1764? 2, 3, 7 List the prime factors of 12873. 3, 7, 613 List the prime factors of 52188. 2, 3, 4349 What are the prime factors of 7697? 43, 179 What are the prime factors of 24281? 24281 List the prime factors of 956. 2, 239 What are the prime factors of 48838? 2, 24419 What are the prime factors of 2373? 3, 7, 113 List the prime factors of 22018. 2, 101, 109 What are the prime factors of 19039? 79, 241 What are the prime factors of 508? 2, 127 List the prime factors of 25662. 2, 3, 7, 13, 47 List the prime factors of 1452. 2, 3, 11 List the prime factors of 48256. 2, 13, 29 List the prime factors of 3669. 3, 1223 List the prime factors of 1172. 2, 293 List the prime factors of 34364. 2, 11, 71 List the prime factors of 4053. 3, 7, 193 What are the prime factors of 3412? 2, 853 What are the prime factors of 23563? 23563 What are the prime factors of 193? 193 List the prime factors of 686. 2, 7 List the prime factors of 1660. 2, 5, 83 List the prime factors of 2099. 2099 What are the prime factors of 1864? 2, 233 What are the prime factors of 502? 2, 251 What are the prime factors of 3427? 23, 149 List the prime factors of 11347. 7, 1621 List the prime factors of 7750. 2, 5, 31 List the prime factors of 504. 2, 3, 7 What are the prime factors of 44441? 19, 2339 List the prime factors of 25391. 25391 List the prime factors of 2396. 2, 599 List the prime factors of 939. 3, 313 What are the prime factors of 9476? 2, 23, 103 List the prime factors of 10047. 3, 17, 197 What are the prime factors of 41? 41 What are the prime factors of 7336? 2, 7, 131 What are the prime factors of 10215? 3, 5, 227 What are the prime factors of 15886? 2, 13, 47 List the prime factors of 19652. 2, 17 What are the prime factors of 69796? 2, 17449 What are the prime factors of 3559? 3559 List the prime factors of 162. 2, 3 What are the prime factors of 35? 5, 7 What are the prime factors of 3773? 7, 11 List the prime factors of 6570. 2, 3, 5, 73 List the prime factors of 21704. 2, 2713 What are the prime factors of 386? 2, 193 What are the prime factors of 3208? 2, 401 List the prime factors of 19. 19 List the prime factors of 1668. 2, 3, 139 List the prime factors of 7672. 2, 7, 137 List the prime factors of 16397. 19, 863 What are the prime factors of 26142? 2, 3, 4357 What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
ond derivative of 32402*a**3 - 3451*a wrt a? 194412*a Differentiate 289704*a**3 - 664172 wrt a. 869112*a**2 Find the second derivative of -17*l*s**2*w + 468*l*s**2 + 107*l*s*w**2 - 100*l*s - 9603*s**2*w**2 wrt w. 214*l*s - 19206*s**2 What is the third derivative of -97*r**4 - 338*r**3 - 1080213*r**2? -2328*r - 2028 What is the derivative of -622955*o - 369557 wrt o? -622955 Find the first derivative of -f**2*u + 2*f*u**3 + 3*f*u**2 - 28*f + 35246*u**3 wrt f. -2*f*u + 2*u**3 + 3*u**2 - 28 What is the third derivative of -292344*o**3 + 611*o**2 + 684? -1754064 Differentiate -3*l**3 + 3644*l**2 + 4*l + 67124. -9*l**2 + 7288*l + 4 What is the third derivative of 61497*k**6 - 8723*k**2 + 2*k? 7379640*k**3 What is the second derivative of 24085*v**3 - 8*v - 1649 wrt v? 144510*v Differentiate 929*p - 11213. 929 Find the second derivative of -1094328*r**2 + 1336*r - 152. -2188656 What is the third derivative of 2052574*y**3 - 2*y**2 - 1767*y - 108 wrt y? 12315444 What is the third derivative of -19*q**6 - 24*q**5 - 8*q**4 + 5*q**2 + 3*q - 540 wrt q? -2280*q**3 - 1440*q**2 - 192*q Find the second derivative of -3828593*s**2*z**5 + s**2*z - 12243*s**2 + z - 3 wrt z. -76571860*s**2*z**3 Differentiate -2030113*c + 1286782 wrt c. -2030113 What is the first derivative of i**2*y**2 + 71*i**2 - 7*i*y + 7*i + y**2 - 13153*y + 3 wrt i? 2*i*y**2 + 142*i - 7*y + 7 Find the third derivative of -282*t**4*u + 11*t**3*u - 3*t**3 - 1787*t**2*u - 8*t**2 - 4*u + 1 wrt t. -6768*t*u + 66*u - 18 What is the third derivative of -245*s**4 - 18*s**3 + 4956*s**2 + 3*s? -5880*s - 108 Differentiate -881*o**2*t - 3*o*t**3 + 35012*t**3 with respect to o. -1762*o*t - 3*t**3 Find the second derivative of -2441*u*v**4 + 3781*u*v + 2*v**5 - 4*v**3 - 3*v - 37 wrt v. -29292*u*v**2 + 40*v**3 - 24*v Find the second derivative of -22756*f**2 + 9223*f wrt f. -45512 What is the second derivative of 3628397*u**3 - 2020717*u wrt u? 21770382*u What is the third derivative of -1786988*b**3 + 1126519*b**2? -10721928 Differentiate 42*i**4 - 1569*i**3 + 163561 with respect to i. 168*i**3 - 4707*i**2 Find the third derivative of -13*m**3*o**3*q + 2*m**3*o**2 + 5*m**3*o + m**3*q*w + m**2*o*q*w + 5*m*w - 562*o**3*q*w + 4*w wrt o. -78*m**3*q - 3372*q*w What is the second derivative of -3*o**3*s**2 + 2*o**3*s + o**3 - 924*o**2 + 2*o*s**5 + 1096*o*s**3 - s wrt s? -6*o**3 + 40*o*s**3 + 6576*o*s Find the first derivative of -3950712*l*z + 3948201*l wrt z. -3950712*l What is the third derivative of -34*c**5*i**3 - 127*c**4 - c**3*i + 8*c**2*i + 2*i**3 - 16 wrt c? -2040*c**2*i**3 - 3048*c - 6*i Find the first derivative of -144*g**3*k**2 + 2*g**3 + 44*g**2 - 37*g*k**2 + 81*g wrt k. -288*g**3*k - 74*g*k Differentiate -48011*q + 45258 wrt q. -48011 What is the first derivative of 171391*g + 149440? 171391 What is the first derivative of -124431*z**2 - 36070? -248862*z What is the second derivative of -403802*g**5 + 2*g**2 - 129510*g + 4? -8076040*g**3 + 4 What is the second derivative of n*q*r*y - 27*n*q*r + 4*n*y**2 + 175*q*r**2*y**2 - 23*q*r**2*y - 6*q*r**2 - 5*r**2*y**2 + 3*y wrt y? 8*n + 350*q*r**2 - 10*r**2 What is the second derivative of 22*d**4*o - 1039*d**3*o**2 + 2*d**2 + 28089*d - 4*o**2 wrt d? 264*d**2*o - 6234*d*o**2 + 4 Differentiate -143646*m*u**2*z - u**2*z + 12*u**2 + 6306 wrt m. -143646*u**2*z What is the third derivative of -1005*j**2*n**3*q - 443*j**2*n**3 + 60*j**2*n - 208*j*n**2*q + 2*j*n**2 wrt n? -6030*j**2*q - 2658*j**2 Find the first derivative of -1853812*p - 3046923. -1853812 What is the derivative of 81774*r**3 + 16*r + 4499331? 245322*r**2 + 16 Find the first derivative of 484734*h - 708888 wrt h. 484734 Find the second derivative of 225738*a**2 + 796*a - 29. 451476 Find the first derivative of -254*u**3 - 2*u**2 - u + 1589. -762*u**2 - 4*u - 1 Find the second derivative of 37842*d**2 + 54*d - 14 wrt d. 75684 Find the third derivative of -4*d*g**3 - 6*d*g**2 - d*g - 630*d + 243790*g**3 + g**2 - 69*g wrt g. -24*d + 1462740 Find the first derivative of -g**3 - 2*g**2 - 14988*g - 332105 wrt g. -3*g**2 - 4*g - 14988 Find the first derivative of -74711*f**2 - 65523 wrt f. -149422*f Find the third derivative of 188757*m**4 - 18*m**2 + m + 229. 4530168*m What is the second derivative of f*i**3*x + 11*f*i*x + 158*f*x - 2*i**3*x - 685*i**2 wrt i? 6*f*i*x - 12*i*x - 1370 What is the first derivative of 2*q**3*u - 1814664*q**3 - 3*q**2*u - 12845*q*u + u wrt u? 2*q**3 - 3*q**2 - 12845*q + 1 What is the third derivative of -c**5 - 752*c**4 - 12*c**3 + 18*c**2 - 137 wrt c? -60*c**2 - 18048*c - 72 What is the third derivative of -77*d**4 + 440*d**3 + 2*d**2 - 14109*d wrt d? -1848*d + 2640 Differentiate 71921*f - 24521. 71921 What is the second derivative of 22*y**4 + 2*y**3 - 394*y**2 - 59527*y + 1 wrt y? 264*y**2 + 12*y - 788 What is the derivative of 86458*y + 722895? 86458 What is the third derivative of 18136*f**6 + 2*f**3 + 95*f**2 - 1008*f wrt f? 2176320*f**3 + 12 What is the first derivative of -2*l**3 - 3*l**2 - 20722*l - 598457 wrt l? -6*l**2 - 6*l - 20722 Find the third derivative of 3*w**2*z**3 + w**2*z**2 + 4*w**2*z - 4*w*z**3 + 11*w - 504*z**3 - 2*z**2 wrt z. 18*w**2 - 24*w - 3024 Find the third derivative of -140598*y**4 - 2*y**3 - 5*y**2 - 100506*y - 1. -3374352*y - 12 Find the second derivative of -y**4 + y**3 - 12124*y**2 + 170*y - 220. -12*y**2 + 6*y - 24248 What is the third derivative of 50*r*s**5 + 12913*r*s**4 - r*s**3 + 23*r*s**2 - 12*r + 2135*s wrt s? 3000*r*s**2 + 309912*r*s - 6*r Differentiate 121*f**3*n - 2*f**3 + 4415*f + 25*n**2 + 1 with respect to n. 121*f**3 + 50*n What is the second derivative of 29*j**4 - 169*j**3 - 16412*j wrt j? 348*j**2 - 1014*j What is the third derivative of -2194*s**4 + 112*s**3 - 4132*s**2 - 2*s - 148? -52656*s + 672 Find the third derivative of -5509252*k**3 - 21*k**2 - 61412. -33055512 What is the second derivative of 25*k**4 - 8220*k**3 + 456236*k - 2? 300*k**2 - 49320*k What is the second derivative of 480*d**4*l**2 + 5*d**2*l**2 - 31184*d*l**2 - 2*d*l wrt d? 5760*d**2*l**2 + 10*l**2 Find the third derivative of 21753*c**3*p**3 - 280*c**2*p**3 + 4*c*p**2 - 3*p**3 wrt c. 130518*p**3 Find the first derivative of -312*g**3*j**4 - 15*g**3 - 529*g**2 wrt j. -1248*g**3*j**3 What is the second derivative of 332*g*n**2*y - 3*g*n**2 - 3*g*n*y + 10*g*n + 4*g*y - 16*g - n**2*y - 327*n**2 - 14*n*y wrt n? 664*g*y - 6*g - 2*y - 654 What is the first derivative of 2474124*r + 1852854? 2474124 Find the second derivative of 37156*w**5 + 4*w**4 - 1650564*w wrt w. 743120*w**3 + 48*w**2 What is the third derivative of -235410*i**3 - i**2 + 4*i - 115? -1412460 What is the second derivative of 1047403*n**3 - 2536825*n? 6284418*n Find the second derivative of -10*p**3 + 384*p**2 - 24307*p wrt p. -60*p + 768 What is the third derivative of -58118*o**6 - 16231*o**2? -6974160*o**3 What is the second derivative of 38720*d**3 + 60913*d? 232320*d Find the third derivative of -19*c**3*l**3 + c**3*l**2 + 21290*c**2*l**6 + c**2 - 24696*l**2 + l wrt l. -114*c**3 + 2554800*c**2*l**3 What is the third derivative of -202*o**5 - 1185*o**4 - 3128076*o**2 wrt o? -12120*o**2 - 28440*o What is the third derivative of -216784*j**3 - 3060*j**2 + 102*j? -1300704 Find the third derivative of 65698*j**4*v + 2*j**3*v**3 + 6*j**3*v + j**2*v**3 - 6*j**2*v**2 + 5*j**2 - 63*j*v**3 + 24*v**2 wrt j. 1576752*j*v + 12*v**3 + 36*v Find the third derivative of 35*j*x**6 + 10*j*x - 467*x**6 - 188*x**2 wrt x. 4200*j*x**3 - 56040*x**3 What is the third derivative of 838502*c**3 - 732321*c**2? 5031012 What is the derivative of 80164*n + 605551 wrt n? 80164 What is the third derivative of 4*b**2*w**3 - 1050*b**2*w**2 + 8*b**2 - 4567*b*w**3 + 3*w**2 wrt w? 24*b**2 - 27402*b Find the second derivative of -1011*b*s**4 + 103*b*s**2 + 9*b*s - 2*b - 7*s + 17 wrt s. -12132*b*s**2 + 206*b What is the third derivative of -51687*c**4*f**2 + 10*c**2*f**2 - 2*c**2 - 7*c*f - c wrt c? -1240488*c*f**2 What is the third derivative of 22*v**4 + 42*v**3 + 13462*v**2? 528*v + 252 Find the third derivative of 19*k**4*v**2 - 531*k**3*n*v**2 - 265*k**2*n - 6*k**2*v + 2*k*n*v**2 - 2*k*n*v + 4*k wrt k. 456*k*v**2 - 3186*n*v**2 Differentiate 17291*s**4 + 23104 with respect to s. 69164*s**3 Find the third derivative
{ "pile_set_name": "DM Mathematics" }
Let m(i) = 31*i - 64. Let a be m(6). Are 124 and a equal? False Let p = -11 + 11. Suppose c + 3*c = p. Suppose 5*s - s - 4 = c. Which is bigger: s or 1/2? s Let v(j) = -74*j - 40. Let i be v(3). Is -260 > i? True Suppose 9 = 2*q - 4*a - 7, 2*q + 3*a + 5 = 0. Suppose 0 = -q*f + 6*f - 0*f. Let x be 2/(-8) - 34/(-168). Is f greater than x? True Suppose 0 = 18*a - 15*a + 3*i + 9, -4*i = a + 12. Is 2/59 at least a? True Suppose -5*w - 16 = 3*j, 3*j + 0 = -4*w - 11. Let g be (0/w)/(3 + -1). Let s be (-2 + 4)*(1 + g). Is 1/2 bigger than s? False Let i = -405 + 399. Which is greater: -5 or i? -5 Let u be ((-15)/5 + 2)/((-1)/3). Suppose u + 27 = 10*m. Is m equal to 6? False Let m = 25.2 + -26.1. Which is bigger: 2/11 or m? 2/11 Suppose -9*b - 20 = 430. Is b greater than -51? True Let j = 141 - 26. Let l = j - 99. Let o be -2*(0 + 30/(-4)). Is o <= l? True Let i = -38 + 53. Suppose 2*l - i = -n, -5*l + 2*n = -l - 10. Is 6 less than l? False Let k be 31/(-20) - (-3)/4. Suppose -4 = -s - 1. Suppose -s*i = -i. Which is smaller: k or i? k Let u = 10 + -17. Let z be (4/(-2))/(-8) + (-164)/16. Which is greater: z or u? u Let x = -4.07 + -12.93. Does x = -0.1? False Let t = 7976606363/141245839805 + -2/13515055. Let p = -1/1493 - t. Is 1 <= p? False Let o(r) = 2*r**2 - 80*r + 76. Let w be o(39). Which is bigger: -203 or w? w Let y = -21 - -24. Let f = y + -1. Suppose -f*g + 2 = -4. Is 3 >= g? True Let d be (-4)/(-2 + -10)*9. Let k be (84/(-22) + 4)/d. Let h be -6*2/(-4) + -3. Is k > h? True Suppose -i - 4*m - m = 11, 0 = -2*i + 2*m - 46. Let a be (-36)/i*(4 - -3). Let c = -13 + a. Is 0 smaller than c? False Let f = -8.1 - -3.9. Let k = 3.2 + f. Let d = 0.2 - 0.4. Which is bigger: k or d? d Let y be (-1)/(-2) - (-1 + (-100)/8). Let k be y - 10 - 11/1. Is -7 less than k? False Suppose -5*g + 57 = -148. Which is greater: 42 or g? 42 Let g = 0.015 + -1.195. Which is smaller: 4 or g? g Let m(l) = l**2 + 23*l + 26. Let y be m(-20). Is y not equal to -32? True Let x(v) = 5*v - 14. Let f be x(5). Let o be 2*(-1)/(-1)*2. Suppose -9 = h + 4*g - 3*g, f = h - o*g. Which is greater: -6 or h? h Let f = 37.1909 - 0.0909. Let h = f - 37. Is h greater than 0.35? False Let g be 1/((-130)/(-392)) + -1 + -2. Is -1 greater than or equal to g? False Let w = -246979/1330 + 1300/7. Is -1 >= w? False Let m = -429 - -1717/4. Are 25 and m equal? False Let v = -31/6 - -167/30. Suppose 3*a = -3*s - 4 + 1, -4 = 2*a + 3*s. Which is smaller: v or a? v Let i be (-10)/15 + -2 + (-23)/(-3). Suppose r + 2*r = -i*m + 284, -2*m + 2*r + 104 = 0. Which is greater: m or -2/5? m Suppose -26 = 4*d - 5*q, -2*d - 30 = 2*d - 3*q. Suppose 33*z = -23*z - 336. Which is bigger: z or d? z Suppose 0 = 11*j - 11. Suppose 0 = -6*l + 3*l - 3. Which is smaller: l or j? l Let v be 7/(-3) + (-1)/(-3). Let n = -114242/43945 - 3/8789. Is v equal to n? False Let u(j) = -j**3 - 7*j**2 + 2*j + 5. Let w be u(-7). Let t be (w/(-96))/(1/4). Let d be (1*(-1)/(-1))/(-1). Which is bigger: d or t? t Let b be (-4*(-9)/6)/2. Suppose r = 3*r - 2*d - 8, -b*r + 8 = d. Which is greater: r or 5? 5 Let s = -1.6 - -3.6. Let u = 4 + s. Let b = 112/3 - 38. Which is bigger: b or u? u Let x be (1/((-1)/25))/(-14 + 13). Is x < 17? False Let p = -21 - -22. Let g be (1 - p)/(-3) - 4/42. Suppose 0 = 3*y - 4*y. Does g = y? False Let x = 0.072 - -52.928. Are -1.5 and x nonequal? True Suppose 0 = y - 5*p - 38, -5*y - p = -24 - 36. Suppose -4*i + 55 = 11. Which is greater: i or y? y Let c = 12.8 - 1.8. Let z = c + -11.32. Let s = -0.22 - z. Is -3 smaller than s? True Let z = 1588 - 1185. Which is bigger: z or 404? 404 Let d be (192/80*1)/((-2)/(-45)). Do d and 53 have the same value? False Let w = -0.069 - 10.931. Let g(h) = h**3 + 3*h**2 - 3*h + 4. Let c be g(-4). Is w != c? True Let f = 1 + 0. Let q = -295 - -5020/17. Which is smaller: f or q? q Let q = -1154 + 1190. Which is bigger: q or 25? q Let b be (-26)/65 + (-194)/(-10). Suppose -f - 2*f - 2*t = 14, 5*f + b = t. Does f = 0.09? False Let j = 15 + -12.8. Let o = j - 2. Let k = -4455 - -4452. Is k at least o? False Let h(n) = -10 - 58*n**3 - n + 4*n**2 + 1 + 59*n**3. Let b be h(-3). Is b greater than 27/7? False Let u = 9 - 5. Let s(h) = -2*h**2 - h. Let v be s(0). Let o be (u + (-9)/2)*v. Which is bigger: o or -1/53? o Let h be (5 - -9068)*(5/4 + -1). Let r = h - 2255. Which is smaller: r or 14? r Let g be 2/8 - (-459)/36. Which is smaller: -5 or g? -5 Let o = 29 + 5. Let k = -30 - -55. Let y = -25 + k. Are o and y non-equal? True Let t(y) = y**3 - 6*y**2 - 9*y + 6. Let g be t(7). Let b = 10.5 + -10.58. Let l = b - -0.18. Which is smaller: l or g? g Suppose i - 1041 = o, -4*o = o + 5*i + 5245. Let z = o + 65833/63. Which is smaller: z or -1? -1 Let m = 6 + -2. Suppose 6 = 5*f - m. Let p be (-2 + 28/8)*f. Is 3 not equal to p? False Suppose -u + 143 = 136. Let p(z) = -9*z - 23. Let w be p(u). Which is bigger: -87 or w? w Suppose -22*m + 24*m - 10 = 0. Suppose -3*v + m*v - 25 = -a, 4*a - 4*v - 76 = 0. Which is smaller: a or -0.1? -0.1 Suppose 229 = -15*b + r, -5*b - 76 + 13 = 3*r. Suppose k - 5*k + 28 = 0. Let m = k - 21. Which is smaller: m or b? b Suppose -4*w = -2*w + 4*p + 78, 3*w = 4*p - 157. Let c = w + 98. Which is smaller: 50 or c? 50 Let h = -1835.09 + 1835. Which is smaller: -64 or h? -64 Let u(f) = -f**3 - 19*f**2 + 4*f - 5. Let j be u(-10). Let c = -14168/15 - j. Let a = c + 1/5. Is 1 bigger than a? True Let r = 28/25 + -289/325. Let q = 0 + 0. Is r at least as big as q? True Let j be (-7)/(-3) - (-7)/(-21). Let l be (2 - 3) + -3 + 4. Suppose 2*h - 2 + 4 = l. Which is smaller: h or j? h Let b = -11.12 + 0.12. Let g = -206 + 205.9. Which is greater: g or b? g Suppose -5*v - 10 = 5*s + 5, -v + 4*s - 8 = 0. Let y be 10/(v + 5)*1. Are y and 11 nonequal? True Let w be -2 + ((-18)/(-10))/1. Let h(p) = 2*p + 15. Let j be h(-6). Suppose -j*s + k = 1, 0*k = s - 4*k + 4. Is w smaller than s? True Let y be (-226)/(-1632) + 44/(-374). Let o = -1 + 1. Which is greater: o or y? y Suppose 5*b + 4 = -4*o - 0*b, 1 = -o - b. Let j = 413 + -412.59. Which is smaller: o or j? o Let y = 440 + -439.8. Is y greater than or equal to 340? False Let g = -351 + 376.8. Which is bigger: -1/3 or g? g Suppose -3*f + 4*f + 2 = 0. Let g be 2484/(-315) + 0/f. Let p = g + 58/7. Which is smaller: 12 or p? p Let o = -29 - -48. Let k = o + -24. Let l = 66 - 65. Are k and l nonequal? True Let n be ((-74)/(-10) - 8)*25. Is n > 3? False Let w = 16 - 12. Let g = -10 - -10. Are w and g equal? False Let c = -1996 - -405189/203. Which is bigger: c or -1? c Let p = 12.133 + -0.133. Do 0.6 and p have different values? True Let z = 21 - 34. Suppose -4*v - 1673 = -413. Let x be 4/7 + 54/v. Is z equal to x? False Let h = -632 + 756. Which is smaller: 1114/9 or h? 1114/9 Let h be -11 + 0 + 0 - -3 - 2. Let l = -11748/5 + 2341. Which is smaller: l or h? h Let z = 5.1 - 0.1. Let n = -4 + z. Let r = 648 + -653. Which is greater: n or r? n Let a = -137 - -85. Let g = 35 + a. Let x = g - -15. Do x and -9 have the same value? False Let o = -133 + 35. Let r be (-77)/o - 2/4. Is r > 0.7? False Let z(d) be the third derivative of -1/24*d**4 - 6*d**2 - 7/6*d**3 + 0 + 0*d. Let w be z(-7). Is w >= -4? True Let b = 0.13 - 5.13. Which is bigger: b or 4? 4 Suppose -2*d + h + 8 = 0, -5*d - 5*h + 0*h = -5. Let x be d/(-3 + 13257/4404). Let w = -296 + x. Is w != -2? True Let y = 252 + -268. Which is smaller: y or -5? y Let d be (-1)/12 - (-83115)/(-540). Which is smaller: -150 or d? d Suppose 13*q = 21*q - 24. Suppose -69 = 8*m + q. Which is greater: -49/5 or m? m Let r = 9.1 - 9.16. Let y = 0.06 + r. Which is smaller: y or 0.23? y Let x be 12/(-8)*1*68/6. Let p = x - -29/2. Is -2 bigger than p? True Suppose -918 = 6*v + 28*v. Let t(w) = -3*w**2 + 6*w - 4. Let j be t(4). Which is greater: j or v? v Let p(g) = -g**2 + 3*g. Let w be p(3). Let m be 4/(-36) - 16/342. Is m <= w? True Let k be -5 + 0/(-1) + 1. Suppose -27*y - 8 = -23*y, 0 = -4*c - 3*y + 298. Let a be 30/k*c/57. Is a not equal to -9? True Let l be (-6)/(-36) - 23/(-6). Suppose 4*z = 2*t - 10, -15 = -l*z - 4*t + t. Let d be 2/5*(-5)/(-13). Which is bigger: z or d? d Let d be 0*2/(2 + -4). Let k(z) be the first derivative of z**2 - 42*z + 19. Let q be k(22). Are d and q non-equal? True Let
{ "pile_set_name": "DM Mathematics" }
250*p**3 Expand -s**4 + 0*s**4 - s**4 - 2*s**4 + 0 + 0 + (7*s - 3*s - 2*s)*(-4*s**3 + 0*s**3 + 2*s**3) + 0*s**4 + s**4 - 2*s**4 - 3929*s**4 - 397*s**4 - 450*s**4. -4785*s**4 Expand (-o**2 - 3*o - 5*o + 3*o)*((-21 - 17 + 36)*(-2 - 2 + 6) + 3 - 3 - 4). 8*o**2 + 40*o Expand 2 + 3 - f - 6 + (-3*f - 4*f + 6*f)*(127 - 94 + 138). -172*f - 1 Expand -133 + 133 - 68*w**5 + (-3 - w**3 + 3)*(-w**2 + 0*w**2 + 0*w**2) + 18*w**3 - 18*w**3 - 4*w**5. -71*w**5 Expand (171 - 171 - 4*j**3)*(-5*j**2 - 11*j**2 - 14*j**2 + j**2 - 3*j**2 + 3*j**2 + (1 - 2*j - 1)*(-j - 2 + 2) - 2*j**2 + 2*j**2 - j**2 - 3 + 3 - j**2). 116*j**5 Expand 1979*w**2 - 1980*w**2 + 8*w**5 - 5 - 9*w**5 - 354*w + (-2*w**4 - 3*w**5 + 2*w**4)*(-3 + 2 - 1) + 4*w**3 - 2*w**5 - 4*w**3. 3*w**5 - w**2 - 354*w - 5 Expand -3*t**5 + 0*t**5 + 5*t**5 + (8*t**5 + 21*t**2 - 21*t**2)*(-1 + 0 + 0)*(3 + 1 + 9). -102*t**5 Expand (2882 + 366 + 1595 + 390)*(3 - 3 + 2*n). 10466*n Expand ((1 + 0 - 3)*(-b**3 + b**3 + 2*b**3) + 4*b**3 + 0*b**3 - 3*b**3)*(11 - 12 - 21). 66*b**3 Expand (-53 - 20*i + 53)*(-66 + 66 + 12*i)*(3 + 0 - 2)*(4*i**3 + 2*i**3 - 5*i**3). -240*i**5 Expand q**2 - q**2 - 3*q**3 + 3*q**3 - 3*q**3 + 3*q**3 + (1 - 1 + q**2)*(q + 0 + 0) + q**3 - 2*q**3 + 2*q**3 + 321*q + q**2 - 321*q + 12 - 17*q**3 + 8*q**3. -7*q**3 + q**2 + 12 Expand (54*w**3 - 55*w**3 - 60*w**3)*(-2 + 2*w - 1 + 6)*(-6 + 8*w + 6). -976*w**5 - 1464*w**4 Expand (u**3 + u**3 - u**3)*(1 - 12*u + 3*u + 1) - 213*u**2 - 59*u**4 + 213*u**2. -68*u**4 + 2*u**3 Expand (-2 + 1 + 3)*(2*a + 2*a - 3*a) + 2*a - 2*a - 3*a + 78 - 83 + 27*a - 70*a. -44*a - 5 Expand (112*j + 6*j + 120*j)*(-9*j + 12 + 11*j - 1). 476*j**2 + 2618*j Expand (776*n**2 - 464*n**2 + 8*n**3 - 478*n**2)*(-3*n**2 + 0 + 0). -24*n**5 + 498*n**4 Expand (0*k**5 + k**5 - 3*k**5 + 0*k**5 + k**5 + 0*k**5 + (-2*k**2 - 4*k + 4*k)*(-2*k**3 - 3*k**2 + 3*k**2) + 61*k**5 + 49 - 49)*(8 + 2 - 2) - 2 - 2*k**5 + 2. 510*k**5 Expand (5*y - y - 8*y)*(-3*y**3 - 145*y**3 + 26*y**3). 488*y**4 Expand (3*p - 43 - 4*p + 7)*(-97 - 60 + 26). 131*p + 4716 Expand (-2*a**3 - 4*a**2 + 4*a**2)*(-2284 - 4354 - 1540 - 2189). 20734*a**3 Expand (-3 + 4 - 12 - 13)*(223*q + 173*q - 483*q)*(-3*q - 2*q + 6*q). 2088*q**2 Expand (-155*p + 80*p + 95*p + (-2 - 3 + 4)*(-1 + p + 1))*(51 - 17 + 29). 1197*p Expand (7*y + 7 - 7)*(47 - 22 - 1136*y - 27). -7952*y**2 - 14*y Expand (-5*i**2 - 30*i**2 + 5*i**2)*(-2*i**2 + 3 - 3 + (-1 + 1 + 1)*((-1 + 3 - 1)*(0*i**2 + 0*i**2 + 2*i**2) - 4*i**2 - 6*i + 0*i**2 + 3*i)). 120*i**4 + 90*i**3 Expand (94093 - 94093 - 551*c - 421*c + (2 + 1 + 0)*(1 - 1 + c))*(-3 - 3*c**3 - 2*c**2 + 3). 2907*c**4 + 1938*c**3 Expand (-5*t**3 + 0*t**3 + 3*t**3)*(-6 + 4 - 7 - 2 - 4 + 5 + (-2 - 1 + 1)*(2 + 1 - 2) + 1 + 0 - 3 + 0 - 2 + 1 + 1 - 6 + 3 + 36 - 22 + 5). -4*t**3 Expand (-946 - 46*u**2 + 946)*(-11 + 11 - 18*u) + (0*u**3 - 2*u**3 + 3*u**3)*(1 + 3 - 1). 831*u**3 Expand (2 - 2 + 1 + (2 + 1 - 2)*(2 + 3 - 3))*(-9*y - 26*y + 9*y)*(-44*y**2 - 13 + 13). 3432*y**3 Expand (-51*t + 68*t - 101*t)*(-3*t + 0*t + t) - 90 + 90 - 82*t**2. 86*t**2 Expand (19 + 4 - 4)*(-2*v + 2*v + 3*v + (2*v + 2 - 2)*(-5 + 0 + 2) + 2 - 2*v - 2). -95*v Expand (3*w**2 - w**2 + 0*w**2)*(2*w**2 + 2*w**3 - 2*w**2) - 9 + 9 - 3*w**5 + 0*w**5 + w**5 + w**5 + 272*w**5 - 1113*w**5 - 351*w**5. -1189*w**5 Expand 10094 - 1997*o**3 - 10094 + (3*o**2 - 2*o**2 + 0*o**2)*(-2 - 2*o + 2) + 2*o**2 - 2*o**2 + 2*o**3. -1997*o**3 Expand (-w - w**4 + w)*(1488 + 1104 - 2279). -313*w**4 Expand (-21 - 19 - 15)*((0*m - 2*m + 0*m)*(-4 - 4 + 6) - 36*m + 100*m + 30*m). -5390*m Expand -m - 2*m + 2*m + (6 - 2 - 3)*(14*m - m + 3*m) - 30*m + 107*m - 28*m - 4*m + 4*m - 2*m. 62*m Expand (26951 - 26951 + 54*l**3)*(-82*l + 6359 - 6359)*(-4 + 2 + 3). -4428*l**4 Expand -t**4 + 7*t**4 + 21*t**4 + (-t**2 - t**2 + t**2)*(-3*t + 3*t - 2*t**2) + 4*t**4 - 9*t**4 + t**4. 25*t**4 Expand (-3 + 3 + f**4)*(-203 - 495220*f - 495253*f + 990429*f). -44*f**5 - 203*f**4 Expand (-3*w**2 + w**2 + 0*w**2 + (4 + 2 - 5)*(3*w**2 - 3*w**2 + w**2) - w + 11*w**2 + w)*(-4*w**3 - 9*w**3 - w**3). -140*w**5 Expand (-2*b + 0*b + 4*b)*((-6 + 9 - 9)*(-66 - 43 - 30) - 1 + 4 - 1)*(3 + 4*b - 3). 6688*b**2 Expand (-10 + 2 + 5 - 2 - 2 + 6 + (3 - 2 + 0)*(-3 + 0 + 5))*(-19 + 31*h - 13*h - 17*h). h - 19 Expand ((-2*t - 1 + 1)*(t**2 + 2*t**2 - t**2) + 0*t**3 + 0*t**3 - t**3 + 3*t**3 + 12 - 12)*(-77 + 31 + 33 - 3 + 4 - 3 + (-3 + 3 + 2)*(-3 + 4 - 2) + 4 - 2 - 4). 38*t**3 Expand (9*s + 4*s - 15*s + 23 + (-5 + 3 - 5)*(-s + 2*s + 3*s))*(5 - 3 - 3) + s + 4*s - s. 34*s - 23 Expand 2*y + 0*y - 3*y + (y - 3*y + y)*(5 - 3 + 0) + (3 - 1 - 3)*(y + 0*y + 0*y) + 160*y - 1966 + 47*y + 1967. 203*y + 1 Expand (-148 + 134 + 1679)*(-12*x**4 + x**3 - x**3). -19980*x**4 Expand (-14*n**2 - 16*n**2 - 72*n**2)*(-5*n**3 + 8*n**3 - n**3) - 2*n**5 - n**5 - n**5. -208*n**5 Expand 216 + 45*o**2 - 216 + 8*o - 3*o**2 - 8*o + (-o - 2*o + 4*o)*(o - 1 + 1). 43*o**2 Expand -5*m**3 + 8*m**3 + 4*m**3 + 0 + 2*m**3 + 0 + (-m + 2*m + 0*m)*(0*m + 5*m + 16*m)*(-4*m + 3*m + 3*m). 51*m**3 Expand (-820 - 1074 - 349 - 1532)*(1 + 4 - 3)*(-5 + v + 5). -7550*v Expand (4*h - 6*h - 3*h)*((h - h - h)*(-3*h + 4*h - 3*h) + h**2 + 1 - 1 + (-14*h + 7*h + h)*(-26*h + 11*h - 4*h)). -585*h**3 Expand -p**4 + 4*p**4 - 2*p**4 + (37*p**2 - 15*p**2 - 148*p**2)*(-15 - 17*p**2 + 15) + p**4 - p**4 + 3*p**4. 2146*p**4 Expand (-6 - 1 + 6)*(-9 - 22*q - 13*q + 22*q)*(-4*q + 3*q + 0*q). -13*q**2 - 9*q Expand (-2*p - 2*p**2 + p + 2*p)*(0 + 5*p + 9 + 15)*(-2 + 2 + 2*p**2 + p**2 - 2*p**2 + 7*p**2 + (-1 + 0 + 0)*(5*p**2 - 3*p**2 + 0*p**2)). -60*p**5 - 258*p**4 + 144*p**3 Expand (-q**2 + q**2 - 2*q**3)*(-6*q - 4*q + 11*q)*(3 - 3 - q) - 27*q + 22*q**5 + 27*q. 24*q**5 Expand (4*s**3 - 1 + 1)*(-12258*s**2 + 8*s + 13*s - 21*s). -49032*s**5 Expand (-1 - i**2 + 1)*((-4 + 0 + 0 + (-2 + 2 - 2)*(0 + 1 + 1) + 1 + 1 - 4 - 3 - 1 + 3 + 1 - 6 + 3)*(4 + 0 - 6) + 6 - 4 + 0 + (-2 + 0 + 3)*(-3 + 4 - 4)). -25*i**2 Expand (-118 - k + 118)*(4*k - 4*k + k**2 + 2) + 880*k**2 + 53*k**3 - 880*k**2. 52*k**3 - 2*k Expand 3*k - 4*k + 4*k + 2*k + 10*k - 2*k + (-3*k + k + 3*k)*(-3 + 2 + 0) + (-4*k - 5*k + 13*k)*(3 + 7 - 9). 16*k Expand (-3*b - 3*b + 3*b + (4 + b - 4)*(-3 - 2 + 4))*(1 + 1 - 1 + (0 + 0 + 9)*(-4 - 6 - 2)). 428*b Expand (-252 - 156 + 1550)*(f + 0*f + 0*f). 1142*f Expand 2*w**3 - 631*w**4 - 6*w**3 - 1409*w**4 + 4*w**3 - 251*w**4 + w - w**4 - w + (5*w**2 - 3*w**2 - w**2)*(-4*w**2 + 2*w - 2*w). -2296*w**4 Expand 2023*w**2 - 2023*w**2 - 5293*w**4 - 2*w + 2*w - w**4 + (3 + 2*w**3 - 3)*(-2*w - 2*w + 6*w). -5290*w**4 Expand 23 - 23 + 3*y**4 + (-17988 + 17988 - 132*y)*(-y**3 + 0*y**3 + 2*y**3). -129*y**4 Expand (11*r**2 + 16*r**2 + 22*r**2)*(2*r**3 + 3*r**3 + 8*r**2 - 7*r**3). -98*r**5 + 392*r**4 Expand 1 - 81*k**4 + 72*k**4 - 4 + (0*k + 2*k - 5*k)*(0*k**3 - 2*k**3 + 0*k**3). -3*k**4 - 3 Expand (-144*n**3 - 124*n**3 + 30*n**3)*(4*n - 2 - 10*n + 4*n). 476*n**4 + 476*n**3 Expand (-1460*g**4 + g + 3*g**2 - 1434*g**4 + 2902*g**4)*(-2*g - 8 + 8). -16*g**5 - 6*g**3 - 2*g**2 Expand -3*g**4 - g**4 + g**4 + (-2*g + g + 5*g)*(3*g**3 - g**3 - g**3) + 5*g**4 - 59*g**4 + 4*g**4. -49*g**4 Expand -163*v**3 - 169*v**3 + 30*v**3 - 4 + 4 + v**3 + (2 + 2*v - 2)*(6*v - 6*v - v**2). -303*v**3 Expand 0*a + 2*a - 3*a + 885*a - 473*a - 584*a + 0 + 2*a + 0 + (2*a - 4*a + 0*a)*(0 + 2 - 4) + 2*a - 3*a + 3*a. -165*a Expand (2 - 1 + t + 0)*(-3 + 3 + 7*t)*(-3*t + 19*t + 5*t). 147*t**3 + 147*t**2 Expand (3*d**3 + 2*d - 2*d)*(d + 1 - 1 + (d + 4 - 4)*(0 + 1 + 1) + 125*d - 61*d - 61*d). 18*d**4 Expand (141 + 154*t - 141)*(3 - 4 + 2)*(4*t - 4*t - t)*(-7 - 10 - 3). 3080*t**2 Expand -2*d + 2*d - 2*d**3 + (d**2 + d**2 - d**2)*(-332*d - 378*d + 376*d). -336*d**3 Expand (3*h**2 + 0*h**2 - 5*h**2)*(111794 + 18*h - 111803 + 8*h) + h**3 - 3*h**3 + 3*h**3. -51*h**3 + 18*h**2 Expand (2*a + 3*a - 3*a + (3 - 5 + 3)*(-2*a + 2*a - a))*(-73 + 28 - 66). -111*a Expand (y - 4*y + 0*y)*(7*y - 6*y - 2*y) + 3*y**2 - 17*y**2 + 9*y**2. -2*y**2 Expand (28*t + 25*t - 25*t)*(590*t - 49*t**2 - 590*t). -1372*t**3 Expand -5*p**4 + p**4 + 2*p**4 + (-p**4 - 3*p**2 + 3*p**2)*(2217 + 8164 + 64). -10447*p**4 Expand (107 + 51*u**3 - 107)*(u - 2 + 2)*(2 - 15 - 13). -1326*u**4 Expand (-2*w - 5*w + 3*w)*(w**2 - 3*w**4 - w**2) - 1 + 1 + w**5 + (-w**3 - 2 + 2)*(-5*w**2 + 4*w**2 - w**2) - 1559*w
{ "pile_set_name": "DM Mathematics" }
is divided by 2? 0 Suppose 180*q = 73*q + 39055. What is the remainder when q is divided by 177? 11 Let l be -56*1/(-2 - (-3 - 0)). What is the remainder when 44 is divided by (-12)/(-126)*-3*l? 12 Let u = 10 + -4. Let p be 77 - (4 + -5 - -4). Suppose 4*x - 96 = p*c - 78*c, 2*c - 3*x - 43 = 0. What is the remainder when c is divided by u? 5 Let j be -7*(2 - 2 - 4). Suppose 37*k = 38*k - j. Let h = -32 - -49. What is the remainder when k is divided by h? 11 Calculate the remainder when 4053 is divided by -21 - (1 + (18 - 81)). 35 Suppose 2*n = 7*a - 2, 0 = 6*n - n - a - 61. Suppose -2*u - 2*r = 2*u - 38, -2*u = -2*r - 10. Calculate the remainder when n is divided by u. 5 Suppose 0 = 3*a + 12 - 12. Suppose 4*q + 3*j - 36 = a, -10 = -4*q + 2*j + 6. What is the remainder when 106 is divided by q? 4 Suppose 3*l + 3*b - 1020 = 7*l, 5*l + 1256 = -b. Let y = -229 - l. Calculate the remainder when y is divided by 12. 11 Suppose r = 2*k - 171, -5*k + 33*r + 465 = 38*r. What is the remainder when k is divided by 14? 4 Suppose 20 = -5*w - 15. Let j = w + -29. What is the remainder when 21 is divided by ((1*j)/(-3))/(3/2)? 5 Let v(i) = -4*i**2 - 63 + 58 + 6*i + 2*i**2 + 4*i**2. What is the remainder when 99 is divided by v(1)? 0 Let u = 40 + -34. Suppose 6 + u = 2*r. What is the remainder when 12 is divided by ((-2)/1)/6 + 20/r? 0 Let m = -96 - 127. Let j = -186 - m. Calculate the remainder when 134 is divided by j. 23 What is the remainder when -3 + (-2 - (-68)/14) + 110594/154 is divided by 147? 130 Suppose 215*l - 1376 = 132*l + 284. Calculate the remainder when 266 is divided by l. 6 What is the remainder when 1642 is divided by (-20)/(-25) + (-681)/(-5)? 135 Let u(g) = -g**2 + 40*g + 130. Let t(k) = 2*k**2 - 78*k - 260. Let i(z) = -4*t(z) - 7*u(z). Calculate the remainder when i(32) is divided by 19. 16 Suppose -225 = 39*b - 53*b + 1119. What is the remainder when b is divided by 22? 8 Suppose -36*f + 63810 = -30546. What is the remainder when f is divided by 82? 79 Suppose -32*t + 101640 + 13464 = 0. What is the remainder when t is divided by 1196? 9 Suppose 5*r = -2*r + 945. Suppose r*u - 60 = 130*u. What is the remainder when 21 is divided by u? 9 Suppose 238 = 4*f + o, -f + 0*f = -o - 62. Let p = -26 + f. Suppose -9*t = -211 + 49. What is the remainder when p is divided by t? 16 Let j be 15/12 + (-3)/(-4). Suppose -j*n + 77 - 27 = 0. Let p = n - 8. Calculate the remainder when 33 is divided by p. 16 Let q(o) = -20*o - 860. What is the remainder when 556 is divided by q(-46)? 16 Suppose -2*i - l = -5*i + 690, -5*l - 909 = -4*i. Calculate the remainder when 1373 is divided by i. 218 Let f(x) = x**3 + 5*x**2 - 10*x - 20. Let j be f(-6). Calculate the remainder when 119 is divided by (-14)/j*9/((-315)/100). 9 Let f be (-8244)/(-28)*-1 - 3/(-7). Let c = -115 - f. Suppose c = 16*g - 93. What is the remainder when 49 is divided by g? 15 Suppose 370*d - h = 365*d + 134, 58 = 3*d + 5*h. What is the remainder when 283 is divided by d? 23 Let y(b) = 3*b**3 - 4*b**2 - b - 2. Let a be y(-3). Let d = 133 + a. Calculate the remainder when 54 is divided by d. 3 Suppose 9*g - 8*g = 3. Suppose 2*f = 5*t - g*f + 125, -3*f = -12. Calculate the remainder when 25 is divided by (-24)/18*t/2. 11 Suppose u = -2*l + 55, 3*l - 6*l + 105 = 2*u. Calculate the remainder when 756 is divided by u. 36 Let u be (3 + 2 + -6)*(-50 - 0). Let l = -13 + 16. Calculate the remainder when u/14*3 - 8/(-28) is divided by l. 2 Suppose -2*t - 5*w = -291, 6*t - 379 = 3*t + 4*w. Let a = t - 129. Calculate the remainder when 83 is divided by a. 3 Suppose 1 = r - 7. Let d(i) be the third derivative of -i**6/120 + i**5/6 + i**4/6 - 7*i**3/2 - i**2 + 3*i. What is the remainder when d(10) is divided by r? 3 Let s(v) = -37 + 19 + 21*v + 21 - 53 - 58. Suppose 112 = 4*a - 52. What is the remainder when s(9) is divided by a? 40 Let y(v) = 28*v - 12. Let n(m) = m**2 - 13*m + 16. Let d be n(12). Calculate the remainder when y(d) is divided by 13. 9 Suppose -3675*l = -3731*l + 113792. What is the remainder when l is divided by 292? 280 Let g(h) = 7*h**2 - 3*h + 1. Suppose 53 = -8*n + 7*n. Let d = -40 - n. Calculate the remainder when g(-2) is divided by d. 9 Let k(d) = -d**3 + 2*d**2 + 11*d + 10. What is the remainder when 16 is divided by k(0)? 6 Suppose 49*x = -41*x + 24*x + 3762. Calculate the remainder when 261 is divided by x. 33 Let y be ((-6)/12)/(1/12). Let z(r) = -r**3 - 3*r**2 + 3*r + 1. Let j be z(1). Let a = j - y. Calculate the remainder when 28 is divided by a. 4 What is the remainder when 411 is divided by (-32798)/(-391) + 4/34? 75 Suppose -9867*m - 308 = -9871*m. Calculate the remainder when 240 is divided by m. 9 Calculate the remainder when 68 is divided by -31*4/(-12) - ((-32)/(-12))/8. 8 Let p be -60 + -6 - (7 - 9). Let u = p - -134. Calculate the remainder when u is divided by 12. 10 What is the remainder when (1168/128*424)/(-1 + 2) is divided by 14? 5 Let b = 25 + 41. Let a be (-44)/b + 28/6. Suppose 5*o + 32 = 3*s, s - 5*o + a + 2 = 0. Calculate the remainder when s is divided by 11. 8 Let k(y) = 5*y + 1. Calculate the remainder when (18 + 125/(-20))*12*4/12 is divided by k(6). 16 Calculate the remainder when (-4)/(72/4482*(-1 - 2)) is divided by 28. 27 Let u be 12/(-8)*(3 + (-291)/(-9)). Let j = u - -57. Suppose 5*s + 5*w - 60 = 75, -j*w + 48 = 2*s. Calculate the remainder when s is divided by 17. 13 Suppose 4*n = 2*i + 2550, 188 + 457 = n + i. Suppose -n*a + 632*a = -88. What is the remainder when 29 is divided by a? 7 Let f be 4/(-10)*(1 + -41). Suppose -21*s + 115 = -f*s. What is the remainder when 4/(-9) - (841/(-9) - -2) is divided by s? 22 Let f(p) be the second derivative of p**4/12 - 5*p**3/6 + 5*p**2/2 - 9*p. Calculate the remainder when f(0) is divided by (-143)/(-33) + 1/(-3). 1 Let w be 0 - (8/12)/((-4)/552). Suppose 3*s + 6 = 0, -3*v + w = -3*s + 2*s. Calculate the remainder when 86 is divided by v. 26 Let b(q) be the second derivative of -q**3/3 - 2*q**2 - 17*q. Let r be b(-2). Suppose r = -10*g + 9*g + 19. What is the remainder when 74 is divided by g? 17 Suppose 226 - 182 = 2*r. Let i = 12 + -11. Let y(p) = 87*p**3 + p**2 - p - 1. What is the remainder when y(i) is divided by r? 20 Let z(h) = 102*h - 20. Let k be z(1). What is the remainder when 55 is divided by ((-205)/k)/((-1)/10*1)? 5 Suppose -4*d - 112 = 4*k - 5*k, -5*d - 209 = -2*k. Let s = -623 + 654. Calculate the remainder when k is divided by s. 30 Let b(p) = -p**3 + 10*p**2 + 9*p + 27. Let y be b(11). Suppose -4*i + y*i = 66. Suppose 10*d = 5*d + 85. What is the remainder when i is divided by d? 15 Let d be 6/(-9) - 2*64/(-3). Suppose -14 = -2*x + d. Let l = 34 + x. What is the remainder when l is divided by 8? 6 Suppose 515 = s + 5*o, -17*o + 962 = 2*s - 33. Calculate the remainder when s is divided by 152. 84 Suppose -542*i = -545*i + 18, -5*g - i = -731. What is the remainder when 486 is divided by g? 51 Let i = 17347 + 1220. What is the remainder when i is divided by 11? 10 Let a(w) = 6*w**3 + 87*w**2 - 9*w + 15. What is the remainder when 735 is divided by a(-14)? 6 Suppose h - 212 + 1293 = i, i - 1072 = -2*h. What is the remainder when i is divided by 47? 44 Suppose 0 = -2*u + 201 + 469. Let i = u + -314. Calculate the remainder when i is divided by 3. 0 What is the remainder when 1167 is divided by (-60)/24*(3 + 67/(-5))? 23 Suppose 10*k + 17 = 67. Suppose 0 = l - 26 - 1. What is the remainder when l is divided by k? 2 Let n = 13 - 9. Suppose -70 = -5*g - 7*m + 2*m, -26 = -g - n*m. Calculate the remainder when 1/(-6) - (-940)/24 is divided by g. 9 Suppose 4*p = 3*o + 57 + 72, -p + 3*o = -39. Let z be 1 + 4 + -5 + 2. Suppose 9 = -3*n, -5*n = -3*c + z*c + p. Calculate the remainder when 71 is divided by c. 11 Let o = -1162 - -1281. Calculate the remainder when o is divided by 80. 39 Calculate the remainder when ((-364)/156)/(14/(-1374)) is divided by 99. 31 Suppose 30*h - 27*h - 96 = -5*w, 5*w - 110 = -5*h. What is the remainder when 412 is divided by w? 7 Suppose 0 = -5*s - 4*h + 3399, 3*s - 3*h + 5*h = 2041. Calculate the remainder when s is divided by 134. 13 Let j = 1503 - 2192. Let o = -410 - j. Calculate the remainder when o is divided by 35. 34 Let g(w) = w**2 + 15*w - 19. Let h be g(-13)
{ "pile_set_name": "DM Mathematics" }
s the remainder when q is divided by m? 24 Let f(u) = -3*u - 18. Let t = 52 + -74. Let r be 3 + (-2 - -3) + t. Calculate the remainder when f(r) is divided by 19. 17 Let f = -196 + 207. Calculate the remainder when 55 is divided by f. 0 Suppose 0*i + 4*i - 2*q + 96 = 0, -5*i - 106 = q. Let u = 23 + i. What is the remainder when 3 is divided by u? 0 Let r = 273 + -208. Calculate the remainder when 190 is divided by r. 60 Let f = -902 - -1546. Calculate the remainder when f is divided by 15. 14 Let f(g) = -g**3 - 6*g**2 + 10*g - 7. Let s(t) = t**2 + 7*t - 6. Let j be s(-7). Let d = j + -2. What is the remainder when f(d) is divided by 11? 8 Let j = 129 - 14. Calculate the remainder when j is divided by 29. 28 Let j = -26 + 40. What is the remainder when 9 - (-1)/(15/255) is divided by j? 12 Let n be (2 - 1) + (1 - -8). Suppose -n*r = -8*r - 16. Suppose 30 = 2*j - 0*j. Calculate the remainder when j is divided by r. 7 Let t(f) be the second derivative of -f**4/12 + 5*f**3/3 - 5*f**2/2 + f. Let m be 43/7 + (-16)/112. What is the remainder when 73 is divided by t(m)? 16 Let b(p) = 45*p - 16. Let q = 10 - -6. Calculate the remainder when b(1) is divided by q. 13 Let r(w) = 2*w**3 - 8*w**2 - 3*w - 3. Let z be r(6). Let y = -41 + z. What is the remainder when y is divided by 21? 19 Suppose -3*o - 4*o = -77. Let s(u) = -u**3 + 2*u**2 + u + 1. Let g be s(2). Suppose -p + o = -g. What is the remainder when 24 is divided by p? 10 Let q be 1 - 5 - 1110/(-5). Suppose 3*x - q = -23. Suppose -5*m - x = -2*t, -3*t + 2*t + 28 = -m. What is the remainder when 48 is divided by t? 23 Let n(j) = j**2 - j + 14. Let z = -2300 - -2335. What is the remainder when z is divided by n(0)? 7 Let g(h) = h**3 - 2*h**2 - 3*h + 10. Let p be g(3). Suppose -p*m + 142 = -48. What is the remainder when 37 is divided by m? 18 Suppose -5*f - 4 - 1 = 0. What is the remainder when 29 is divided by 105/18 + 5 - f/6? 7 Let p = -347 - -433. Calculate the remainder when p is divided by 11. 9 Let q = -1 + 14. Suppose q*f - 220 = 2*f. What is the remainder when 54 is divided by f? 14 Calculate the remainder when 94 is divided by ((-112)/70)/((-3)/(5*12)). 30 What is the remainder when (7 - 4)/((-911)/(-227) + -4) is divided by 12? 11 Suppose 4*r = 4, -13 = -9*w + 6*w + 2*r. Suppose -5*h + 53 = k, w*k + h - 145 = -0*h. What is the remainder when k is divided by 15? 13 Let u = -29 - -59. What is the remainder when 127 is divided by -2 - u*(-12)/8? 41 Suppose -4*m + 23 = -5. What is the remainder when (-9017)/(-426) + (-3)/18 is divided by m? 0 Suppose 0 = -9*h + 5*h + 1284. Calculate the remainder when h is divided by 108. 105 Let d(l) = 16*l - 17. Calculate the remainder when d(4) is divided by 13. 8 Suppose -4*z + 2*z - 48 = 0. Let m be (15/6)/(4/z). Let a = m - -24. What is the remainder when 35 is divided by a? 8 Suppose 0 = -7*m + 4*m + 75. Let d(b) = 3*b + 39. Calculate the remainder when m is divided by d(-10). 7 Suppose -6460 = -4*b + 2*n, 2*n - 6444 = -21*b + 17*b. Calculate the remainder when b is divided by 95. 93 Let c(z) = -2*z + 61. Let r(u) = u - 30. Let y(m) = 6*c(m) + 11*r(m). What is the remainder when 40 is divided by y(14)? 18 Let b = -226 - -251. What is the remainder when b is divided by 7? 4 Calculate the remainder when ((-18)/(-21))/(1/112) is divided by 33. 30 What is the remainder when 427 is divided by ((-2)/(-6))/(((-4)/(-198))/2)? 31 Let q = 5 - 1. Let f = q - -67. What is the remainder when f is divided by 36? 35 Suppose 0*z - b - 26 = -z, 132 = 5*z - 4*b. Let w = 34 - z. Suppose 4*l = 16, r = 5*r + l - 88. What is the remainder when r is divided by w? 3 Suppose 2*o = -4*y + 4 + 16, 0 = -5*y + 20. Let k = 13 - o. Let w = 55 + -35. Calculate the remainder when w is divided by k. 9 Let a(z) = -z**2 - 20*z - 10. What is the remainder when 105 is divided by a(-4)? 51 Suppose -12 = 2*o - 124. Let c be ((-30)/12)/((-6)/12). Suppose -c*n = -n - o. Calculate the remainder when 53 is divided by n. 11 Suppose 2*b - b - 9 = -5*s, 3 = 3*s. Suppose -45 = -b*p - 13. Calculate the remainder when p is divided by 3. 2 Suppose -c + 2*z = -3*c + 212, -2*c + 220 = 4*z. What is the remainder when c is divided by 78/(-15)*(2/3*9 + -11)? 24 Suppose -2 = -y + 7. Suppose 4*r + y = 45. Calculate the remainder when (4316/20)/13 - 3/5 is divided by r. 7 Suppose -2*k + 81 + 9 = 5*j, 0 = -k + 4*j + 58. Let n be (-351)/21 - (-2)/(-7). What is the remainder when k is divided by ((-2)/(-2))/((-1)/n)? 16 Let r = -1059 + 1290. What is the remainder when r is divided by 119? 112 Suppose 7*y - 4*y = 12. What is the remainder when (-2)/9 - (4389/27)/(-7) is divided by y? 3 Let k(l) = -l - 6. Let h be k(-6). Suppose 5*t - 40 = -0*t. Suppose -t = -d - h. Calculate the remainder when d is divided by 3. 2 Let k(b) = 59*b**2 - 28*b + 63. Calculate the remainder when k(2) is divided by 16. 3 Let t(w) = w**2 + 3*w - 5. Let r be t(-4). Let h = 7 - r. Let z(s) = 13*s**3 - s**2 - 12*s + 14. Calculate the remainder when z(1) is divided by h. 6 Let x(y) = 2*y + 9. Let c be x(5). Suppose -s + c = -18. Calculate the remainder when s is divided by 41/3 - (-4)/(-6). 11 Let s be (-2 - 0)*(-20)/5. Let b = s - -6. Calculate the remainder when b is divided by 5. 4 Let n(z) = 2*z**3 - 5*z**2 - 8*z + 37. Calculate the remainder when 329 is divided by n(3). 21 Let r(x) = -x**3 + 6*x**2 - 2*x - 9. Suppose 3*l - 6*l + 12 = 0. What is the remainder when r(l) is divided by 11? 4 Suppose 0*x = -9*x + 333. Calculate the remainder when 183 is divided by x. 35 Let i(y) = y + 3. Let a(n) = -n**3 + 9*n**2 + 11*n - 4. Let q be a(10). What is the remainder when 61 is divided by i(q)? 7 Suppose -3*y = y. Suppose -4*s + 3*u + 5 + 0 = 0, -10 = -4*s - 2*u. Suppose y = -s*v - 3*v + 95. What is the remainder when v is divided by 7? 5 Suppose 6*m + 7 = 7*m + 2*b, b = 2*m - 24. What is the remainder when 2/(-6) - 380/(-6) is divided by m? 8 Let f(g) = 30*g**2 - g. Suppose -4*l + 4*u = -u - 173, 0 = -l - 4*u + 17. Let v = l + -22. Calculate the remainder when f(1) is divided by v. 14 Let m = 32 + 30. Let r(h) = -11*h**2 + 24*h - 5. What is the remainder when m is divided by r(1)? 6 Let o(g) = -7*g + 6*g**2 - 5*g - 4 + 0*g + 10*g - g**3. What is the remainder when 79 is divided by o(4)? 19 Let v(w) = -52*w - 1320. What is the remainder when v(-27) is divided by 51? 33 Suppose -5*l + 9 + 10 = -2*q, 5*q + l + 61 = 0. Let x be 18/(-14) + 20/70. Calculate the remainder when 59 is divided by 4 - (q + 1 + x). 11 Let h be (1011/(-12))/(3/(-12)). Suppose -2*i + 4*x = -7*i + 428, 5*x - h = -4*i. What is the remainder when i is divided by 18? 16 Let n(r) = -r + 33. Let b(w) = 0*w + 2*w - w. Let l(o) = -b(o) + n(o). What is the remainder when 46 is divided by l(10)? 7 What is the remainder when 14*(36/40)/(6/130) is divided by 23? 20 Let f(g) = -g**3 + g**2 - 2*g - 8. Let n be f(0). Let i = n + 18. Let p = 14 - i. What is the remainder when 10 is divided by p? 2 Suppose 0 - 12 = q. Let d = 12 + q. Suppose -22 = -d*l - l. What is the remainder when 64 is divided by l? 20 Suppose 12*k - 3896 + 344 = 0. Calculate the remainder when k is divided by 25. 21 Let u = -22 - -40. Let n(c) = 10*c**2 - 30*c + 10. Let o(f) = -2*f**2 + 6*f - 2. Let l(i) = -2*n(i) - 11*o(i). What is the remainder when u is divided by l(4)? 8 Suppose 0 = -5*a + 3*a + 4. Let k(m) = 0*m**a + 5*m**2 - 4*m**2 - m - 6. What is the remainder when 105 is divided by k(-6)? 33 Let m = -11 - -4. Let h(c) = -c**3 + 11*c**2 - 16*c - 9. Let w be h(9). Let t = m + w. What is the remainder when 3 is divided by t? 1 Let k(a) = 23*a + 33. What is the remainder when 84 is divided by k(0)? 18 Let k = -18 - -58. Calculate the remainder when k is divided by (-4 - -34)/(2 - (2 + -2)). 10 Calculate the remainder when 41 is divided by (3 + 2/(-1))/(18/396). 19 Calculate the remainder when ((-6)/4)/((-90)/69840) is divided by 5. 4 Let q be (-4)/(-18) - 220/99. Let t be (-3 + 1)*5/q. Suppose -t*c + 8*c = 21. Calculate the remainder when 54 is divided by c. 5 Suppose 0 = 5*y - 5*z, 4*y + 0*y + 14 = -3*z. Calculate the remainder when 45 - (0/3 + 2) is divided by (-1 - -14) + 0 + y + 0. 10 What is the remainder when 263 is divided by 5/(-3)*(137 - 167)? 13 Suppose -6 = -2*v, 5*v - 10 = -q + 16. Calculate the rem
{ "pile_set_name": "DM Mathematics" }
the thousands digit of 21847854? 7 What is the tens digit of 609998577? 7 What is the millions digit of 3766132609? 6 What is the hundreds digit of 2315700670? 6 What is the thousands digit of 766563? 6 What is the units digit of 113060757? 7 What is the thousands digit of 15381686? 1 What is the hundred thousands digit of 2077980555? 9 What is the millions digit of 211382684? 1 What is the ten thousands digit of 221319299? 1 What is the millions digit of 758583897? 8 What is the ten thousands digit of 7021362? 2 What is the hundred thousands digit of 7063760? 0 What is the ten millions digit of 325956201? 2 What is the ten millions digit of 262974394? 6 What is the ten millions digit of 21372102? 2 What is the hundreds digit of 73366494? 4 What is the tens digit of 65971041? 4 What is the ten millions digit of 2716765432? 1 What is the hundreds digit of 218134932? 9 What is the units digit of 92525778? 8 What is the ten millions digit of 485957543? 8 What is the tens digit of 18965928? 2 What is the hundred millions digit of 3177408590? 1 What is the hundreds digit of 2349128702? 7 What is the units digit of 228711554? 4 What is the ten millions digit of 106804155? 0 What is the units digit of 126424893? 3 What is the hundred thousands digit of 117990351? 9 What is the hundred thousands digit of 52124105? 1 What is the hundred thousands digit of 952143122? 1 What is the hundreds digit of 58759483? 4 What is the thousands digit of 522365151? 5 What is the ten thousands digit of 327022297? 2 What is the hundred millions digit of 3911951000? 9 What is the millions digit of 437963681? 7 What is the units digit of 32173563? 3 What is the ten thousands digit of 18149428? 4 What is the ten thousands digit of 2894420742? 2 What is the millions digit of 22308705? 2 What is the millions digit of 853524620? 3 What is the hundred millions digit of 140675190? 1 What is the hundred thousands digit of 103324097? 3 What is the thousands digit of 1289467992? 7 What is the hundred thousands digit of 1959329527? 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4 What is the ten thousands digit of 874134195? 3 What is the ten thousands digit of 67990434? 9 What is the hundred millions digit of 358319595? 3 What is the tens digit of 39838700? 0 What is the hundreds digit of 281763330? 3 What is the thousands digit of 105076732? 6 What is the hundred millions digit of 2115048269? 1 What is the tens digit of 3426954940? 4 What is the ten thousands digit of 531933772? 3 What is the tens digit of 29769581? 8 What is the ten millions digit of 2013162524? 1 What is the hundreds digit of 2338498660? 6 What is the tens digit of 1290625? 2 What is the units digit of 438052050? 0 What is the ten millions digit of 1179696570? 7 What is the millions digit of 1675323711? 5 What is the tens digit of 21517626? 2 What is the units digit of 795938965? 5 What is the ten millions digit of 120137510? 2 What is the thousands digit of 1547215577? 5 What is the hundred millions digit of 752943776? 7 What is the thousands digit of 54188896? 8 What is the millions digit of 89630003? 9 What is the thousands digit of 690660005? 0 What is the hundreds digit of 364143559? 5 What is the thousands digit of 906013? 6 What is the billions digit of 2414828964? 2 What is the tens digit of 99420709? 0 What is the ten thousands digit of 72100536? 0 What is the billions digit of 1177889709? 1 What is the millions digit of 1333230449? 3 What is the ten thousands digit of 344986287? 8 What is the units digit of 261978733? 3 What is the thousands digit of 24794582? 4 What is the hundred thousands digit of 4018858952? 8 What is the hundred thousands digit of 80510854? 5 What is the hundred thousands digit of 243816? 2 What is the units digit of 52247670? 0 What is the ten millions digit of 2624132707? 2 What is the ten millions digit of 82798817? 8 What is the millions digit of 2402390710? 2 What is the hundred millions digit of 384228957? 3 What is the thousands digit of 104741407? 1 What is the units digit of 145218273? 3 What is the ten thousands digit of 141066710? 6 What is the ten thousands digit of 634327041? 2 What is the thousands digit of 1024810548? 0 What is the tens digit of 191463060? 6 What is the ten thousands digit of 1825372349? 7 What is the hundred millions digit of 6293979251? 2 What is the hundreds digit of 81151181? 1 What is the hundreds digit of 132934821? 8 What is the hundreds digit of 11944333? 3 What is the ten thousands digit of 4106359099? 5 What is the thousands digit of 1541708607? 8 What is the hundreds digit of 66146593? 5 What is the thousands digit of 98925743? 5 What is the thousands digit of 38598? 8 What is the hundreds digit of 290313533? 5 What is the hundred millions digit of 417444686? 4 What is the ten thousands digit of 492567102? 6 What is the hundreds digit of 47757625? 6 What is the thousands digit of 99959603? 9 What is the hundred thousands digit of 1155205376? 2 What is the tens digit of 48965225? 2 What is the tens digit of 6642843? 4 What is the ten thousands digit of 55723193? 2 What is the tens digit of 73957258? 5 What is the thousands digit of 663389407? 9 What is the hundred millions digit of 2199242225? 1 What is the hundreds digit of 388540957? 9 What is the ten millions digit of 508954956? 0 What is the hundred millions digit of 916299831? 9 What is the ten millions digit of 47100014? 4 What is the tens digit of 57136546? 4 What is the hundred thousands digit of 339010963? 0 What is the thousands digit of 2694458892? 8 What is the units digit of 305924656? 6 What is the units digit of 29362261? 1 What is the ten thousands digit of 346478731? 7 What is the units digit of 206831650? 0 What is the hundred millions digit of 108833648? 1 What is the hundred thousands digit of 510372158? 3 What is the millions digit of 534500895? 4 What is the thousands digit of 23637498? 7 What is the millions digit of 288078206? 8 What is the ten thousands digit of 2182582827? 8 What is the ten thousands digit of 3314902352? 0 What is the thousands digit of 696490458? 0 What is the hundreds digit of 1631620177? 1 What is the thousands digit of 25931459? 1 What is the millions digit of 1948569705? 8 What is the ten thousands digit of 299927088? 2 What is the millions digit of 1064275192? 4 What is the thousands digit of 1690593790? 3 What is the ten thousands digit of 511758430? 5 What is the hundreds digit of 595315956? 9 What is the hundreds digit of 15831512? 5 What is the ten thousands digit of 237255296? 5 What is the tens digit of 1842248858? 5 What is the units digit of 40432957? 7 What is the tens digit of 551970165? 6 What is the hundreds digit of 895413605? 6 What is the units digit of 1596821232? 2 What is the tens digit of 3050055546? 4 What is the billions digit of 1663862376? 1 What is the hundreds digit of 357019545? 5 What is the hundred millions digit of 203350908? 2 What is the hundred thousands digit of 4197067768? 0 What is the hundred thousands digit of 33512141? 5 What is the ten millions digit of 37190609? 3 What is the thousands digit of 96764695? 4 What is the hundreds digit of 169062166? 1 What is the tens digit of 4160207372? 7 What is the hundreds digit of 4378107619? 6 What is
{ "pile_set_name": "DM Mathematics" }
2806. 542981672792 What is 236226335999.93 plus 0.5? 236226336000.43 -32.1620792868275 - 0.4 -32.5620792868275 Sum -0.073 and 97.763180995. 97.690180995 Sum 59.90924366 and 0.5625. 60.47174366 Calculate -237874369559189 - -0.3. -237874369559188.7 Put together 2.375759 and -53678. -53675.624241 0.7365+-1326360055 -1326360054.2635 Add together -51825484245076 and 1.8. -51825484245074.2 What is 2443919.85202 minus 10.35? 2443909.50202 Calculate -0.02 + -162278586.0317. -162278586.0517 Work out -0.029718717 + -11049. -11049.029718717 Calculate 159.019 - -7111105. 7111264.019 Calculate -57285.518464 - 171. -57456.518464 Calculate 5 - 30242970907779. -30242970907774 What is 739799.4 less than 16.564? -739782.836 Add -6 and -1532337778556. -1532337778562 What is -0.3 plus -1736506585990.1? -1736506585990.4 What is -90285223938 take away 120? -90285224058 What is -2.4 minus 183856494748? -183856494750.4 -3 - -5532527798 5532527795 Calculate -4101127752235 + 9. -4101127752226 What is -86.32551151 plus -4875? -4961.32551151 3896460915483+-4 3896460915479 Calculate 0.4 - -560.5838867435. 560.9838867435 What is the difference between 26 and 1168558977863? 1168558977837 What is 10925.64 - 3.31839? 10922.32161 What is -10 minus -29488434628? 29488434618 What is 324828517 minus -2.234? 324828519.234 What is -0.29663 minus -1493828? 1493827.70337 What is the difference between -661626.2 and 19616? 681242.2 13019 + -16392903907 -16392890888 -59027088147+1201 -59027086946 Calculate 0.232 - 25980340.54. -25980340.308 What is the distance between 2678.52 and 326053173? 326050494.48 What is -0.905 plus 90.70656589? 89.80156589 Put together -313303 and 17642992. 17329689 Total of -106245896 and -69738. -106315634 Calculate -6054450171840 + -0.109. -6054450171840.109 -2625884 + -466.978 -2626350.978 -1095420+4593480 3498060 Subtract 0.09444 from 14995847. 14995846.90556 -37742029719 - 0.5389 -37742029719.5389 What is -733261860 plus -0.0646? -733261860.0646 Add 3.959 and 4995.3347. 4999.2937 What is the distance between 315.8 and 21875016? 21874700.2 Subtract 33.44421 from -13.949. -47.39321 What is -1885363885272 minus 149? -1885363885421 What is -0.051863308 less than -87594? -87593.948136692 Add -0.535373 and 563107. 563106.464627 Total of 143094661.0807 and 202. 143094863.0807 What is -0.07 take away -328.8072141? 328.7372141 What is the distance between -19138.2624 and 16535? 35673.2624 Put together 6 and -63688057696. -63688057690 -3.12263319135 + -17 -20.12263319135 Sum 963 and 2.36897087. 965.36897087 What is -4530766 less than -21408646? -16877880 -863474415463 + -98 -863474415561 Add together -13.41116597 and -7436. -7449.41116597 Put together 0.0170336 and -483.92012. -483.9030864 Work out -9102 + -106358541. -106367643 Calculate 1815250 - -26345. 1841595 What is the distance between 14.258 and 1098070? 1098055.742 What is 7 minus 13244488861375? -13244488861368 Work out 9.79849361 - 0.247. 9.55149361 What is -0.4 minus -87400904484812? 87400904484811.6 What is 0.1112592 + -72310456? -72310455.8887408 Add together 142.15 and 4.4458346. 146.5958346 What is -10226 - -2.635716? -10223.364284 What is -2 - 5529109053369? -5529109053371 Calculate -6.5602507257 + 4.6. -1.9602507257 Sum -18.02 and -76075567. -76075585.02 Subtract 537004618 from 37.082. -537004580.918 What is 1614301868 take away -30385.7? 1614332253.7 166 - -17118372273 17118372439 Total of 1069242455874 and -4. 1069242455870 Work out -231995699755.506 - -5. -231995699750.506 Add together -7420865855605 and -1. -7420865855606 Work out -181675.7 + 784174530. 783992854.3 What is -41638.662 plus 3551? -38087.662 Calculate -6977 - -7820129990. 7820123013 What is the distance between 1.68851223 and 0.31495? 1.37356223 What is -1971.314 take away -0.128182875? -1971.185817125 -4.495 - -25536736 25536731.505 What is 60809946379 - -3? 60809946382 79159 + 14097524 14176683 Put together 0.0109 and 1.691042098. 1.701942098 Sum 84439514367 and 2. 84439514369 What is -53653838.3129 minus 0.2? -53653838.5129 What is -48.175978 - -8493445? 8493396.824022 Work out 91784.22037 + 121. 91905.22037 What is -2241431.9428 less than -2302? 2239129.9428 Calculate -10.2866816 + 110503. 110492.7133184 What is -9375466836 - -0.4? -9375466835.6 Work out 0.09334 - 293003852. -293003851.90666 What is 2236687830 + 49756? 2236737586 -0.07050301576 + 672 671.92949698424 0.11 + -3997042260.316 -3997042260.206 What is the distance between 1185540.36 and -223.82? 1185764.18 Work out -1512744622 - 138. -1512744760 Calculate 2927015654 + -4385. 2927011269 What is 1434405 - -778361? 2212766 What is 870612601 take away 579109? 870033492 What is 15234405726 + 0.1? 15234405726.1 Work out 5 + 27559939018. 27559939023 Sum 7.0904514 and -0.5025841. 6.5878673 What is the distance between 1.030023 and 79.327442? 78.297419 What is -78.804 plus 8769079? 8769000.196 Calculate -5276 - -0.002140767. -5275.997859233 What is 21378.8642418 less than 537.3? -20841.5642418 What is -0.689786344 plus -207? -207.689786344 Add -98849 and -22492006. -22590855 6741296657834 - -4 6741296657838 Put together 0.4 and 2900020.82931. 2900021.22931 Work out 0.12 - -1982.79287904. 1982.91287904 Subtract -202899087 from 1.817. 202899088.817 What is -101612.350728339 minus -3? -101609.350728339 -1982459242414 - 1 -1982459242415 Add together -76497501 and 0.003812. -76497500.996188 What is 73707564 less than 3.4398? -73707560.5602 Subtract 0.2003970664835 from 52. 51.7996029335165 What is 10.8038864 less than 48688.76? 48677.9561136 Add -9328739120 and -55959. -9328795079 What is 26.69 less than 1604527463? 1604527436.31 Work out -177379643 - -73791. -177305852 Put together 22391672 and 9.671569. 22391681.671569 What is -115574887.71 plus 108? -115574779.71 Calculate 48 + -195260879. -195260831 What is the difference between -0.033 and -20445372321.5? 20445372321.467 What is -0.453 minus -508515582? 508515581.547 -0.02+330244.2845065 330244.2645065 What is -13112601 take away -3070.807? -13109530.193 Put together -10039.0565883 and -287. -10326.0565883 Calculate 3.51 - 0.141100751. 3.368899249 What is the difference between 22032.9 and 2.328513315? 22030.571486685 What is -12820.853377 plus 1017? -11803.853377 What is 2680.2971 less than 3659133? 3656452.7029 Add 0.1 and 2560104652716. 2560104652716.1 Work out -530666216 - 1155.4. -530667371.4 Total of 1.8292 and -36356.9. -36355.0708 Total of 0.3 and -84586.074361. -84585.774361 Calculate -4093074.014857 + 5. -4093069.014857 41+-166603.2805 -166562.2805 What is 4658.4 less than 403535.9? 398877.5 Add 1440077.47 and -1830. 1438247.47 Work out 0.00004813 + 334074. 334074.00004813 What is the distance between 722.472894 and -483.48? 1205.952894 What is -5525767709 minus 45? -5525767754 Total of -50 and -1197197761945. -1197197761995 Sum -1 and 24634168796.31. 24634168795.31 Add -0.05 and 29669109.4906. 29669109.4406 Work out 309565 - -4796179. 5105744 -0.251673614 - 3.63232 -3.883993614 Subtract 22.2059372 from -2215. -2237.2059372 6.97 - 544433009 -544433002.03 Calculate -4468388 - 0.32448. -4468388.32448 Add together 105797 and -772402. -666605 Sum 134714 and -8246456. -8111742 What is 13241.9070903455 + 0.5? 13242.4070903455 -7371 + 374393551 374386180 1090278 + -493.5 1089784.5 Sum 194 and 0.2916292533. 194.2916292533 Work out 110 - -1708221318. 1708221428 Work out -53682.24658411 - -38. -53644.24658411 Calculate -0.2 - -1.64227641297. 1.44227641297 Subtract 0.1 from -24202560438. -24202560438.1 Total of -4368732 and 773.826. -4367958.174 What is 6342121360854 minus -27? 6342121360881 What is 2.36 minus -226087844? 226087846.36 What is the distance between -0.101913811 and -120438? 120437.898086189 -0.8 - -3234.1730731 3233.3730731 What is -31.5226206 minus -14.97? -16.5526206 Total of 159.44454 and -0.79914. 158.6454 -2808190060 - 39.811 -2808190099.811 Total of 83516332845387 and -0.1. 83516332845386.9 What is 0.63 minus -1487426458630? 1487426458630.63 Add -13431851416 and 1.006. -13431851414.994 What is 3.02 + -46146405.379? -46146402.359 Put together -0.418 and -0.266389436. -0.684389436 Subtract -57757546171.4 from -0.5. 57757546170.9 Calculate 0.24518465345204 + 4. 4.24518465345204 Add -1070 and -131.7444
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from wpppmfpem? 2/21 Two letters picked without replacement from {w: 4, m: 2}. Give prob of picking 1 w and 1 m. 8/15 Calculate prob of picking 2 s, 1 k, and 1 h when four letters picked without replacement from hmskhsshihs. 4/55 Four letters picked without replacement from qosossosqsssso. Give prob of picking 1 q, 1 s, and 2 o. 96/1001 Calculate prob of picking 2 g and 2 f when four letters picked without replacement from gfgfgg. 2/5 Calculate prob of picking 2 s and 1 b when three letters picked without replacement from ppbssap. 1/35 Three letters picked without replacement from nmnnmmm. Give prob of picking 3 n. 1/35 Two letters picked without replacement from {f: 1, j: 5, o: 11}. Give prob of picking 1 j and 1 o. 55/136 Calculate prob of picking 1 k, 2 g, and 1 u when four letters picked without replacement from {c: 2, k: 1, g: 2, h: 2, u: 1, w: 1}. 1/126 Three letters picked without replacement from {w: 4, i: 3, p: 1, k: 7, t: 4}. What is prob of picking 1 i, 1 w, and 1 p? 4/323 Four letters picked without replacement from {r: 5, c: 2, a: 2, x: 3, y: 3}. What is prob of picking 1 x and 3 r? 2/91 Two letters picked without replacement from {b: 2, j: 6, q: 9}. Give prob of picking 2 j. 15/136 What is prob of picking 2 j and 1 v when three letters picked without replacement from {v: 2, j: 11}? 5/13 Two letters picked without replacement from {d: 1, f: 2, j: 1, r: 2}. Give prob of picking 1 d and 1 r. 2/15 Calculate prob of picking 1 w and 3 v when four letters picked without replacement from lllvllggvlvggllgwg. 1/3060 Three letters picked without replacement from {b: 2, v: 3}. Give prob of picking 3 v. 1/10 Two letters picked without replacement from {e: 3, a: 4, b: 2, g: 1}. Give prob of picking 1 b and 1 g. 2/45 Two letters picked without replacement from qjojqojaooqoraa. What is prob of picking 2 o? 2/21 Calculate prob of picking 1 v and 2 m when three letters picked without replacement from mmvvv. 3/10 What is prob of picking 1 y, 1 t, 1 z, and 1 g when four letters picked without replacement from {y: 1, n: 2, z: 1, w: 1, t: 1, g: 2}? 1/35 Two letters picked without replacement from {w: 5, a: 3, r: 1, i: 11}. Give prob of picking 1 i and 1 r. 11/190 What is prob of picking 1 f and 1 z when two letters picked without replacement from mmammzyzf? 1/18 Calculate prob of picking 1 e, 1 i, and 1 v when three letters picked without replacement from aeevivvvieiiiivev. 18/85 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {l: 2, q: 3, f: 1, b: 4, y: 1, r: 1}. 2/11 What is prob of picking 2 w, 1 p, and 1 a when four letters picked without replacement from ttptwptpwpbwawtt? 6/455 What is prob of picking 2 l and 2 h when four letters picked without replacement from {i: 3, s: 2, l: 2, c: 2, h: 8}? 1/85 What is prob of picking 3 w and 1 s when four letters picked without replacement from {w: 13, d: 3, s: 2}? 143/765 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {b: 1, e: 2, p: 1, t: 2, x: 1, s: 1}. 1/14 Calculate prob of picking 2 b and 1 n when three letters picked without replacement from bbnbbbbbnbbb. 9/22 Three letters picked without replacement from {n: 2, d: 1, w: 4, k: 1}. Give prob of picking 1 d and 2 w. 3/28 What is prob of picking 1 i and 2 s when three letters picked without replacement from siizszsvzsvs? 1/11 Three letters picked without replacement from {c: 1, a: 1, u: 1, v: 1, w: 2, l: 1}. What is prob of picking 3 v? 0 Calculate prob of picking 1 g, 1 y, and 2 i when four letters picked without replacement from {y: 1, i: 3, b: 3, j: 1, g: 2}. 1/35 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from rrrrlrrrcrrrrhc. 2/105 What is prob of picking 4 w when four letters picked without replacement from oowoowowwooooooooww? 5/1292 Two letters picked without replacement from {r: 3, p: 7, e: 2}. What is prob of picking 2 e? 1/66 Two letters picked without replacement from {z: 1, g: 1, d: 4, w: 4, f: 3, e: 1}. What is prob of picking 1 w and 1 d? 16/91 Three letters picked without replacement from {h: 3, f: 3, a: 2, n: 7}. What is prob of picking 1 h and 2 n? 9/65 What is prob of picking 1 r, 1 b, and 1 z when three letters picked without replacement from {r: 12, z: 1, b: 3}? 9/140 Calculate prob of picking 2 o and 1 f when three letters picked without replacement from {o: 2, f: 9, n: 8}. 3/323 Two letters picked without replacement from {e: 1, z: 4, p: 2, y: 3, d: 7}. Give prob of picking 1 y and 1 p. 3/68 Three letters picked without replacement from jfdflffvjvlvdxfddfd. What is prob of picking 2 f and 1 v? 15/323 Calculate prob of picking 1 c and 3 m when four letters picked without replacement from ccmmmmcmmmmmcmmmmmmm. 448/969 What is prob of picking 3 h when three letters picked without replacement from {h: 3, o: 9}? 1/220 Two letters picked without replacement from {q: 7, u: 7}. Give prob of picking 2 u. 3/13 Four letters picked without replacement from {d: 6, f: 1, q: 3, x: 3, t: 1}. What is prob of picking 1 d, 1 x, 1 t, and 1 f? 18/1001 Calculate prob of picking 3 f when three letters picked without replacement from izigfffiifiiif. 5/182 Calculate prob of picking 2 l and 2 x when four letters picked without replacement from {x: 6, q: 2, s: 3, c: 3, l: 4}. 1/34 Calculate prob of picking 2 x, 1 o, and 1 w when four letters picked without replacement from xexeow. 1/15 Three letters picked without replacement from {m: 5, f: 4, a: 2, n: 1, y: 1, g: 2}. What is prob of picking 1 y, 1 m, and 1 f? 4/91 Calculate prob of picking 2 c when two letters picked without replacement from czcttttztctctt. 6/91 Two letters picked without replacement from {w: 5, a: 1, j: 6, y: 1, u: 2}. Give prob of picking 1 a and 1 j. 2/35 What is prob of picking 2 e when two letters picked without replacement from {e: 9, i: 2, k: 1, b: 2}? 36/91 What is prob of picking 1 q and 1 n when two letters picked without replacement from ivjijivnnvinjnqjnj? 5/153 Two letters picked without replacement from {q: 6, k: 7, f: 1, j: 4}. Give prob of picking 1 k and 1 q. 14/51 Three letters picked without replacement from plpppkllpkpkppkplpkk. What is prob of picking 1 p and 2 l? 1/19 What is prob of picking 2 p when two letters picked without replacement from {r: 7, q: 1, p: 10}? 5/17 What is prob of picking 1 e and 1 z when two letters picked without replacement from {z: 2, e: 2}? 2/3 Two letters picked without replacement from wwnnnn. Give prob of picking 1 w and 1 n. 8/15 Calculate prob of picking 1 x, 1 g, and 1 s when three letters picked without replacement from {t: 2, p: 2, g: 1, s: 1, x: 1}. 1/35 Four letters picked without replacement from nnnnblnlnnnllbbb. Give prob of picking 4 n. 1/26 Calculate prob of picking 2 t, 1 p, and 1 b when four letters picked without replacement from tkkkkptkpbjwb. 4/715 Four letters picked without replacement from {f: 2, v: 5, m: 4, h: 1, a: 2}. Give prob of picking 1 h, 1 f, and 2 v. 20/1001 Three letters picked without replacement from {g: 3, k: 2, h: 5, c: 2, b: 6, e: 1}. Give prob of picking 1 k, 1 g, and 1 b. 12/323 Three letters picked without replacement from {l: 14, x: 1, i: 5}. Give prob of picking 1 x and 2 i. 1/114 What is prob of picking 1 f and 3 z when four letters picked without replacement from {w: 9, f: 5, i: 1, z: 3}? 1/612 Three letters picked without replacement from hqdhdn. What is prob of picking 2 h and 1 d? 1/10 Two letters picked without replacement from kahakhkkaahk. What is prob of picking 2 h? 1/22 Four letters picked without replacement from jrjjjrjrrjjrrrrrjjr. Give prob of picking 3 r and 1 j. 90/323 Three letters picked without replacement from {s: 3, e: 6, b: 4, i: 1, t: 1}. What is prob of picking 1 i and 2 s? 3/455 What is prob of picking 2 b when two letters picked without replacement from {a: 2, r: 3, b: 4, h: 1}? 2/15 Two letters picked without replacement from dmnyny. What is prob of picking 1 n and 1 y? 4/15 Calculate prob of picking 3 r when three letters picked without replacement from {k: 3, v: 1, s: 1, f: 3, r: 3, w: 6}. 1/680 Two letters picked without replacement from {s: 5, j: 3, v: 8}. Give prob of picking 1 j and 1 v. 1/5 Calculate prob of picking
{ "pile_set_name": "DM Mathematics" }
t f(a) be the first derivative of m(a). Let f(w) = 0. What is w? 0, 2/3, 3 Let h be (-4)/246 - (-519284)/225582. Factor 4/7*f**2 - h*f + 12/7. 4*(f - 3)*(f - 1)/7 Let u(q) = -3*q - 75. Let j be u(-23). Let x be 4 + 31/(-4) - (j - -2). Factor 0 + x*n**4 + 3/4*n + 1/4*n**3 - 5/4*n**2. n*(n - 1)**2*(n + 3)/4 Factor 234*w + 1534*w**2 + 1594*w**2 + w**4 - 10*w**3 - 3185*w**2. w*(w - 13)*(w - 3)*(w + 6) Let q(t) = -2*t + 30. Let l(h) = 2*h - 29. Let k(c) = -4*l(c) - 5*q(c). Let n be k(18). Find d, given that -5*d**n + 3 - 5*d - 4 + 11 = 0. -2, 1 Let j(u) be the second derivative of u**4/54 + 23*u**3/27 + 20*u**2/3 + 2*u - 1311. Factor j(n). 2*(n + 3)*(n + 20)/9 Let m(c) be the first derivative of -1/12*c**4 + 0*c + 1/60*c**5 + 1/6*c**3 - 19 - 3*c**2. Let k(l) be the second derivative of m(l). Factor k(n). (n - 1)**2 Let o = -10 - -16. Factor -6*b**4 + 9*b**4 - o*b**4 + b**4. -2*b**4 Let u(o) be the second derivative of 5*o**7/42 + 7*o**6/2 + 37*o**5/4 - 35*o**4/4 - 95*o**3/3 + 5561*o. Let u(a) = 0. What is a? -19, -2, -1, 0, 1 Let l be ((-2)/(-10))/(8/10). Let d(b) = 4*b**3 - 4*b**2 - 2*b + 4. Let x be d(1). Factor 3/2*c + 5/4 + l*c**x. (c + 1)*(c + 5)/4 Let b(v) be the first derivative of -1/21*v**3 + 0*v + 68 - 5/14*v**2. Factor b(z). -z*(z + 5)/7 Let y(z) be the third derivative of 0 - 2/15*z**5 + 0*z**6 - 1/84*z**8 + 2*z**2 + 4/105*z**7 + 1/6*z**4 - 6*z + 0*z**3. Let y(p) = 0. What is p? -1, 0, 1 Factor -j**2 + 54966 - 210*j - 56154 - j**2. -2*(j + 6)*(j + 99) Suppose 1897*z = 1891*z + 24. Let a(w) be the first derivative of -2/5*w**3 + 0*w + 1/10*w**4 + 0*w**2 + z. Factor a(g). 2*g**2*(g - 3)/5 Let x(m) be the second derivative of -1/24*m**4 - 1 + 3/40*m**5 - 2*m - 1/4*m**3 - 1/60*m**6 + 1/2*m**2. Find c such that x(c) = 0. -1, 1, 2 Let v(p) = 2*p**2 + p + 19. Let d be v(-7). Suppose 264 - 151*z + 18*z - d*z**2 + 96 + 75*z**3 - 167*z - 5*z**4 - 20*z**3 = 0. What is z? -2, 1, 6 Let q = 564947/5 + -112977. Suppose -66/5*b - 4/5 - q*b**2 = 0. Calculate b. -1, -2/31 Suppose 18*s + 16 = 14*s. Let w be (-46)/s - (-3 + 30/12). Solve -d**3 + 6*d**3 + 5*d**4 - 5*d + 10*d**2 - w*d**2 - 3*d**2 = 0 for d. -1, 0, 1 Let k = -799 - -745. Let l(n) = 13*n + 727. Let c be l(k). Find p, given that 20 + 5/2*p**2 - c*p + 5/2*p**3 = 0. -4, 1, 2 Let p = 2717 + -2717. Let q(f) be the second derivative of 1/51*f**4 + 0 + p*f**2 + 15*f + 1/170*f**5 + 1/51*f**3. Find k such that q(k) = 0. -1, 0 Determine q, given that 2375*q**3 + 18132*q**2 - 4756*q**3 - 27397452*q + 21820795241 + 2377*q**3 - 8021611917 = 0. 1511 Let k(i) be the first derivative of -i**3/9 + 31*i**2/2 - 356*i/3 - 4940. Find z such that k(z) = 0. 4, 89 Let u(w) be the first derivative of -16 + 7/9*w**3 + 0*w - 1/6*w**2 - 1/2*w**4. Factor u(r). -r*(r - 1)*(6*r - 1)/3 Let s be (-4)/6*(-66)/22. Let -375*i**3 + 66*i**s - 236*i**2 + 24 - 40*i**2 + 13*i - i - 42*i**5 - 219*i**4 = 0. Calculate i. -2, -1, -1/2, 2/7 Let t(n) be the third derivative of -n**7/280 + 3*n**5/16 + 5*n**4/16 - 3*n**3 - 4*n**2 + 332. Determine z, given that t(z) = 0. -3, -2, 1, 4 Let s be (-25)/(225/(-27)) - (-1)/(-1). Let p(z) be the second derivative of 0 + 38*z + 27/2*z**s + 3/2*z**3 + 1/16*z**4. What is v in p(v) = 0? -6 Let t(d) = d**2 + 6*d + 17. Let o(y) be the first derivative of -y**3/3 - 5*y**2/2 - 18*y + 71. Let k(s) = 4*o(s) + 6*t(s). Determine b so that k(b) = 0. -5, -3 Let c(u) be the second derivative of u**4/66 + 344*u**3/33 + 29584*u**2/11 + u + 482. Factor c(k). 2*(k + 172)**2/11 Let q(n) be the third derivative of n**6/360 - 23*n**5/20 - 139*n**4/24 - 209*n**3/18 + 3889*n**2. Suppose q(x) = 0. Calculate x. -1, 209 Let s(t) be the first derivative of -t**4/8 + 14*t**3/3 - 109*t**2/4 - 69*t - 1147. Determine f, given that s(f) = 0. -1, 6, 23 Let b = 863046 - 863044. Factor -22 + 5/2*h**b + 54*h. (h + 22)*(5*h - 2)/2 Let m(a) be the second derivative of -18/7*a**7 + 248/15*a**5 - 28/9*a**4 + 130*a + 0 - 118/5*a**6 + 0*a**2 + 0*a**3. Factor m(i). -4*i**2*(i + 7)*(9*i - 2)**2/3 Let g(s) be the first derivative of -7*s**6/6 + 34*s**5/15 + s**4/2 - 32*s**3/9 + 5*s**2/2 - 2*s/3 - 1961. Solve g(f) = 0. -1, 2/7, 1/3, 1 Solve -168*o + 896 + 1868*o**2 - 2080*o**2 + 4*o**3 - 520*o = 0. -4, 1, 56 Suppose -5*z + 3*q + 69 + 56 = 0, 4*z = 2*q + 98. Factor 10*i + 5*i**4 + 1/2*i**5 + 0 + z*i**2 + 33/2*i**3. i*(i + 1)*(i + 2)**2*(i + 5)/2 Let w(m) be the third derivative of -m**7/6300 - m**6/225 + m**5/15 + 29*m**4/4 - 221*m**2. Let o(b) be the second derivative of w(b). Factor o(x). -2*(x - 2)*(x + 10)/5 Determine k so that -486/7*k**2 + 2022/7*k - 1530/7 - 6/7*k**3 = 0. -85, 1, 3 Let 0*c + 32*c**3 + 0 + 30*c**2 + 1/2*c**5 + 19/2*c**4 = 0. What is c? -15, -2, 0 Suppose 548*j - 545*j = 9. Find z, given that -8*z**5 - 49*z**j - 76*z**4 + 124*z**2 + 211*z - 127*z - 75*z**3 = 0. -7, -3, -1/2, 0, 1 Suppose -155*a - 97 = -407. Let d(f) be the second derivative of 1/2*f**a + 0 + 12*f + 3/80*f**5 - 7/48*f**4 + 0*f**3. Factor d(i). (i - 2)*(i - 1)*(3*i + 2)/4 Let d be 12/15 + 76/(-95). Let j(z) be the second derivative of 1/6*z**6 + 0*z**4 + 1/2*z**5 + d*z**3 + 8*z + 0 + 0*z**2. Determine i so that j(i) = 0. -2, 0 Suppose -3*w + 3*b - 71 - 10 = 0, 5*b - 20 = 0. Let i = -19 - w. Let 2*r**2 - 19 - 24 + 4*r**3 + r**4 + 57 - i*r - 17 = 0. What is r? -3, -1, 1 Let i(s) be the first derivative of 0*s**2 + 8/3*s**4 + s**6 - 8/9*s**3 - 14/5*s**5 - 78 + 0*s. Determine q so that i(q) = 0. 0, 2/3, 1 Let n(s) be the third derivative of -3/5*s**5 + 43/40*s**6 - 1/2*s**4 - 9/16*s**8 + 0*s + 0 + 54/35*s**7 + 0*s**3 + 18*s**2. Let n(o) = 0. Calculate o. -1/3, -2/7, 0, 1/3, 2 Let y = -15397 + 1170257/76. Let r = y + -7/19. Solve -1/2 - 7/4*w + r*w**3 - 1/2*w**2 = 0 for w. -1, -1/3, 2 Determine j so that -8*j - 1801*j**3 + 3*j**4 - 69*j**2 + 887*j**3 + 35*j + 887*j**3 + 66 = 0. -2, -1, 1, 11 Let a(z) be the third derivative of -120*z**2 - 85/48*z**4 - 1/420*z**7 + 0 + 43/120*z**5 + 7/2*z**3 + 1/240*z**6 + 0*z. Suppose a(s) = 0. What is s? -7, 1, 6 Let k(n) = -20*n + 529. Let o be k(26). Suppose o*u = 26*u - 51. Factor 1/2*z**u + 5/4*z - 3/8 - 11/8*z**2. (z - 1)**2*(4*z - 3)/8 Solve -22/13*v**2 + 18/13*v**4 + 0 - 20/13*v + 16/13*v**3 = 0. -1, 0, 10/9 Let i(h) be the third derivative of h**8/5040 + h**7/630 + 23*h**5/20 - 18*h**2 - h. Let a(o) be the third derivative of i(o). Factor a(f). 4*f*(f + 2) Suppose -4*x - 103 = -3*s - 6*x, 114 = 4*s - 2*x. Suppose 3*a**4 + 1452*a - 68 + 1320*a**2 + s + 37 - 129*a**3 = 0. Calculate a. -1, 0, 22 Let p(k) be the second derivative of -k**4/84 + 374*k**3/21 - 69938*k**2/7 + 1422*k. Find l such that p(l) = 0. 374 Suppose f + 4*q + 2242 = 6*f, 0 = -f - 5*q + 460. Let p be f/504 - -1*(-3)/(-12). Solve -4/7*i**2 + p - 4/7*i = 0 for i. -2, 1 Let w(y) be the first derivative of -23*y**5/270 - 7*y**4/36 + 2*y**3/27 + y**2 - 54*y - 75. Let u(b) be the second derivative of w(b). Solve u(k) = 0 for k. -1, 2/23 Let g(x) be the third derivative of -6/5*x**3 - 9*x + 3/25*x**5 - 1/200*x**6 + 1/40*x**4 - 9*x**2 + 0. Determine h, given that g(h) = 0. -1, 1, 12 Suppose -5*i + 0*i = 4*z + 41, 3*i = -3*z - 27. Let d be z/6*(-675)/18. Find b, given that 77*b**4 + 15*b - 32*b**4 + 5 + 120*b**3 + 110*b**2 + d*b = 0. -1, -1/3 Let w be 109 - 2 - (-1 + -4 + 5). Let v = -745/7 + w. What is s in -v*s**3 + 0*s**2 + 12/7*s - 8/7 = 0? -2, 1 Suppose -o - x = -8, -4*o + 1223*x = 1228*x - 38. Let t(f) be the first derivative of 0*f + 0*f**3 - 1/2*f**o - 9 + 1/4*f**4. Factor t(b). b*(b - 1)*(b + 1) Suppose 0 = -8603*j + 6497*j + 6318. Solve 44/3*o + 20/3*o**5 - 8/3*o**2 - 64/3*o**j - 8/3 + 16/3*o**4 = 0. -2, -1, 1/5, 1 Factor 11079*r - 196 + 392 - 2*r**3 + 92*r**2 - 10789*r. -2*(r - 49)*(r + 1)*(r + 2) Let y = -636 + 393. Let d be 1*(y/(-45) + (-4)/10). Factor 31*m**2 - 12*m**2 + 10*m**4 + d*m - 5 - 4*m**2 - 25*m**3. 5*(m - 1)**3*(2*m + 1) Let y be (1/10)/((-213)/(-355))*1. Let l(c) be the second derivative of 0 + 0*c**2 + y*c**4 + 17*c + 1/10*c**5 + 0*c**3. What is r in l(r) = 0? -1, 0 Suppose 154587 + 3/4*k**2 + 681*k = 0. What is k? -454 Let h be 1*5 - (8 + 83/(-1)). Determine y so that -2*y**2 + 29*y - 4*y + h - 2*y**2 + 7*y = 0. -2, 10 Let u(c) = -6*c + 22. Let f be u(12). Let h be 52/6 - f/(-30). Suppose 3*x**2 + 20*x - 12 - 10*x**3 + h + 12*x**2 - 15
{ "pile_set_name": "DM Mathematics" }
5*n + 6 - 2 - 7*n as m + o*n and give m. -1 Rearrange (6*h + 0*h + 2*h)*(29*h**2 - 38*h**2 + 24*h**2) + 3*h**3 - 4*h**3 + 2*h**3 to the form w*h + i + m*h**3 + t*h**2 and give m. 121 Rearrange -8*a + 6*a - 9*a - 2*a to t*a + y and give t. -13 Rearrange (-5 + 4 - 6 - 2*u)*(1 - 2 + 2) to the form f + h*u and give f. -7 Rearrange 2*z**3 + 4*z - 4*z + (-3 - 2*z + 3)*(-23*z + 23*z - 91*z**2) + 0*z**3 + 0*z**3 + z**3 to y*z**2 + m + u*z**3 + d*z and give u. 185 Rearrange (71 + 21*c**2 - 71 + 4*c**2)*(0 + 0 + 2) to s*c**2 + u*c + l and give s. 50 Rearrange -5*t**2 + 3*t**2 + t**2 + 2*t**3 + (-4*t**2 + 2*t**2 - 3*t**2)*(4*t - 3*t - 3*t) to c*t + u*t**2 + f + q*t**3 and give q. 12 Rearrange (-3 - d + 3)*(4 + 1 - 1)*(d - 2 + 2) to the form m + t*d + i*d**2 and give i. -4 Rearrange (-3 + 0 + 0 + 2*j)*(3*j**2 - 4*j**2 + 0*j**2 + (-j + 0*j - j)*(-3*j - 2*j + 6*j)) to the form f*j**2 + n + m*j**3 + v*j and give m. -6 Express (0 - 2 + 0)*(22*v**3 + 5*v**4 - 22*v**3 + (4*v - 2*v - 4*v)*(-1 - 2*v**3 + 1)) as z + w*v**2 + l*v + x*v**4 + i*v**3 and give x. -18 Express 5*h**3 + 2*h + 5*h**3 + 49*h**4 - 48*h**4 + 0 + 2 as n*h**3 + f*h + k*h**2 + x*h**4 + v and give n. 10 Express (1 + 0 - z + 3*z)*(150 - 291 - 249) as s + g*z and give g. -780 Rearrange 6*k**3 + 3*k**3 + 0*k**3 - k - k**2 - 3*k**3 to v*k**2 + p*k**3 + c + n*k and give v. -1 Express -82*v - 18*v - 32*v - 41*v as t*v + r and give t. -173 Rearrange 5*g**4 + 5 - 5 - g**4 + 2*g**3 + 2*g to the form i*g**3 + a*g**4 + z*g**2 + c*g + k and give a. 4 Express -3*m**2 - 6*m**2 + 19*m**3 + 7*m**2 as r*m + b*m**3 + n*m**2 + h and give b. 19 Rearrange 142*l**2 - 136*l**2 - 3*l + 3*l + 1 - 3*l**3 to b*l + t + u*l**3 + c*l**2 and give u. -3 Rearrange (2 - 2*g - 2)*(-4 + 4 - 1) + 2*g + g + 2*g to the form n + h*g and give h. 7 Express -1 + 1 - 35*b**2 + 76*b**2 - b as v*b**2 + y*b + i and give v. 41 Express (3*i**3 - 3*i**3 + 4*i**4)*(1 + 1 + 1) + (0 - 1 + 2)*(-2*i**4 + 4*i**4 + i**4) as m*i + y*i**3 + v + p*i**4 + t*i**2 and give p. 15 Express (2 - 1 + 3)*(2*m**2 - 8 + 8) - 3*m**2 + m**2 + 0*m**2 in the form w*m**2 + c*m + q and give w. 6 Rearrange o**3 + 2*o - 4*o + 2 + 4*o**2 + 2*o to d*o**2 + x*o**3 + s*o + v and give s. 0 Rearrange -8*r + r - r to m + k*r and give k. -8 Rearrange ((1 + 0 + 0)*(0 + 2*g + 0) + 10*g - 17*g - 4*g)*(2*g + 1 - 1) to c*g**2 + n*g + o and give c. -18 Express (3 - 7 - 5*o + 3)*(6 - 4 - 1) as j + r*o and give j. -1 Rearrange -19*f - 2*f + 11*f - 6*f + 1 to the form r*f + a and give a. 1 Rearrange 2*g - 4*g - 3*g + 3*g to r + x*g and give x. -2 Express x - 10*x**2 + 0*x**2 - x**2 as s + m*x + n*x**2 and give n. -11 Rearrange 7 - 2 + 0*j**2 - 2 + 2*j**2 to the form l*j + g*j**2 + f and give g. 2 Rearrange (p**2 - 4*p**2 - p**2)*(17 - 15 + 18) to the form j + i*p + s*p**2 and give s. -80 Express 2*d**3 - d**3 + 2*d + d**3 + d in the form k*d**2 + w*d**3 + a*d + f and give w. 2 Express (0*q - 2*q**2 + 0*q)*(-80 - 77 + 30*q + 155) in the form s*q + p*q**2 + h + b*q**3 and give p. 4 Rearrange -4*r**3 + 0*r + r + 0*r**3 - 4*r**3 + 2*r**3 + 3*r**3 + (-2 + 2 - 2*r)*(-2*r**2 + r - r) to the form s*r**2 + p*r**3 + f*r + x and give p. 1 Express 15*p**2 - 6*p**2 + 3 + 5 - 7 in the form a*p**2 + d*p + y and give y. 1 Express 1 - 3*m**2 - m**2 + 11*m**2 - m**2 + 3*m**3 in the form k*m**2 + j*m + q*m**3 + c and give q. 3 Rearrange 3*c**3 - 2*c**3 - 2*c**3 + (c - c - 2*c**2)*(4*c + 3*c + 0*c) + 2*c - 2*c**3 - 2*c to v + m*c**3 + t*c**2 + n*c and give m. -17 Rearrange 2*l**4 - 2 + 2 + (3 + 4*l**2 - 14*l**2 + 4*l**2)*(-3*l + 3*l - l**2) to q*l**3 + f*l**4 + k*l + m*l**2 + h and give m. -3 Rearrange 15*c + 12*c + 15*c - 44*c to the form o + n*c and give n. -2 Express -b**2 + 3*b + b**3 + 0*b - 9*b**2 - b in the form u*b**3 + d*b + p + s*b**2 and give u. 1 Rearrange -2*y**3 + y**2 + y**3 + y**2 - 7*y**3 + 22*y**2 - 22*y**2 + (1 - 2 + 2)*(-3*y**3 + 4*y**3 + 0*y**3) to the form l*y + h*y**3 + t + z*y**2 and give z. 2 Express (3*i - 3 - 2*i**3 + 3)*(3 - 1 - 3) as l + u*i + t*i**2 + v*i**3 and give v. 2 Rearrange 0*k + 49*k**3 - k - 46*k**3 - 2 + k**2 + 4*k**4 - 3*k**4 to the form q*k**3 + n*k**2 + s*k + i + d*k**4 and give i. -2 Rearrange 21*m - 4*m**4 - 6*m - 1 - 14*m + m**3 - 8*m**4 to the form k + h*m**3 + d*m**2 + a*m + z*m**4 and give k. -1 Rearrange 5*c - 3*c + 8*c to the form q*c + o and give o. 0 Express s**2 + 2*s**3 + 0*s**2 - 6*s**2 - 1 in the form w*s**2 + p + y*s + f*s**3 and give w. -5 Express -83 + 83 - 105*s as x + n*s and give n. -105 Express (51 - 20 + 22)*(1 - 2*j**3 - 1) in the form d + t*j + u*j**3 + y*j**2 and give u. -106 Express -77*c - 4*c + 42*c - 78*c as t + m*c and give m. -117 Express p + 6 - 10*p + 6 - 7 in the form x + c*p and give c. -9 Rearrange -2 - 2 - 2*p**3 + 2 to h*p**2 + y + s*p + q*p**3 and give y. -2 Express -4*p**2 + 2*p**2 - 4*p**2 in the form f*p + d*p**2 + m and give d. -6 Rearrange 165 + 4*l**2 - 153 - l - 2*l**2 to b*l + o*l**2 + i and give i. 12 Express ((0 - 5 - 6)*(-q + q + 2*q) - 2*q + 0*q - q)*(2*q - 5*q + q) as a + d*q + n*q**2 and give n. 50 Rearrange (2 + 0 + 0 + 2 - 2 + 2 + (3 + 2 - 4)*(4 - 1 - 5) + 0 + 4 + 2)*(2*k**2 - 2*k**4 - 2*k**2) to m*k**3 + n*k**4 + j*k + h + i*k**2 and give n. -16 Rearrange (-1 + 1 + 2*h)*(-60 + 60 - 6*h**2) to p*h**2 + c*h + b + j*h**3 and give j. -12 Express -4*u**2 + 4*u**2 + 2*u**2 + 16*u**2 + 20*u**2 - 12*u**2 + 1 - 2*u**2 - 1 + (2 - 2*u - 2)*(4*u - 4*u - 2*u) as p + n*u + z*u**2 and give z. 28 Rearrange (-2*a**2 + 2*a**3 + 2*a**2)*(3 - 3 + 1) + 98*a**3 + 227*a - 227*a to u*a + l*a**3 + p + t*a**2 and give t. 0 Rearrange -8 + 2*h**2 + 9 - 4 to w*h + t*h**2 + v and give t. 2 Express (h**2 + 4*h**2 - 6*h**2)*(-2*h - 99*h + 16*h) in the form v*h + j*h**2 + w*h**3 + k and give w. 85 Rearrange -2*o + 2*o**2 + o**4 - 1 - 5*o**3 + 14*o**3 - 9*o**3 to n*o**2 + q*o**4 + a*o + b*o**3 + y and give q. 1 Express -z**4 + 6 - 18*z**2 - z**4 - 4 + 2*z in the form d*z + t + y*z**4 + o*z**2 + f*z**3 and give d. 2 Express -36*b + 21*b + 17*b in the form k*b + g and give k. 2 Rearrange (-3 + 2*o**2 + 3)*(-260*o + 27*o - 47*o) to n*o + t*o**3 + s + v*o**2 and give t. -560 Express o**2 - o**2 + o**2 + 2*o + 4*o**3 + 3 - 6*o**3 as q + x*o**2 + b*o + u*o**3 and give x. 1 Express (-490 + 238 + 234)*(-4*l + 4*l + l) as y*l + p and give y. -18 Rearrange 0*h**4 + 9*h**3 - 2*h**4 + 3*h**3 - h - 9*h**3 to the form f*h**2 + u*h**4 + t*h + a + j*h**3 and give j. 3 Express -3*p + 6*p + 0*p + (2*p + 2 - 2)*(-2 - 2 + 2) + 3*p + 2*p - 7*p - 4*p + 2*p - 7*p in the form x + n*p and give n. -12 Express -125*f + 3*f**2 + 85*f + 68*f as s*f + j + n*f**2 and give s. 28 Rearrange -56*i + 1 + 1 - 2 to the form b*i + a and give b. -56 Rearrange 39 - 39 + 4*z + 28*z to the form u*z + q and give u. 32 Rearrange p + 5*p - 4*p - 8*p**3 to m*p**3 + v + n*p**2 + r*p and give r. 2 Express z + z**2 - z + z**2 - 6 in the form h*z**2 + v + l*z and give v. -6 Express (-t - 2 + t + 2*t)*(17*t - 1307 + 1307)*((1 + 1 - 4)*(-t + 2*t + 0*t) + 0*t - 3*t + t + 2*t + 1 - 1) in the form j*t**3 + b*t**2 + s + o*t and give b. 68 Express 112*k**2 + 2 + 3 - 4 in the form y*k + v*k**2 + n and give n. 1 Express 101 - 3*t**3 - 101 + 2*t as d*t**3 + z + p*t**2 + c*t and give d. -3 Rearrange v - v + 4*v + (0*v + v + 0*v)*(50 + 3 - 24) to u + t*v and give t. 33 Express w**3 + 2*w**3 - 4*w**3 + (2*w**2 + 3*w - 3*w)*(-62 + 62 + 2*w) as n*w**3 + b*w + f*w**2 + i and give n. 3 Express -1 + 1 + 4*z + (-6 + 3 + 1)*(5*z - 4*z - 4*z) + 4*z - 4*z + 2*z as u + i*z and give i. 12 Rearrange (-2*z + z - 16 + 10*z**2 - 12*z**2)*(-5 + 2 + 2) to m*z + t + q*z**2 and give t. 16 Rearrange (-a + 3*a + 0*a)*(-2*a**3 + 4 - 4) to the form w + z*a**4 + j*a + s*a**3 + d*a**2 and give z. -4 Rearrange (-2*i**2 + 0 + 3*i**2 - 1)*(0*i - 2*i + 19*i) to r*i**2 + c*i + o*i**3 + z and give o. 17 Express 0*s**4 + s**4 - 3*s**4 + (0 + 0 + s)*(s**3 + 0*s + 0*s) - 80*s**3 + 80*s**3 + 4*s**2 - 8*s**4 as k + a*s**3 + l*s + n*s**2 + g*s**4 and give g. -9 Rearrange (10 - 20 - 12)*(1 - 4 + 5 + 0 + 6 - 4 + (-3 + 5 - 3)*(-3 - 2 + 3) + 1 - 2 - 1)*(7*o + 8*o - 2*o) to the form w + x*o and give x. -1144 Express -13*o + 12 - 12 in the form w*o + g and give w. -13 Express -2 - 2*a - 7*a**2 + 5*a**3 + 19*a**2 - 11*a**2 - a**3 as l + j*a + q*a
{ "pile_set_name": "DM Mathematics" }
se Let a = 862 - 802. Is 199444/12 + (-80)/a a prime number? True Suppose -2325 + 37 + 128443 = 5*l. Is l a prime number? False Let c(j) = 2*j - 13. Let p be c(8). Suppose 3 + 3 = p*f. Suppose -f*n - 983 = -4*n + 3*u, -2432 = -5*n - u. Is n prime? True Let i(d) = 348*d**2 + 24*d + 31. Let s be i(-6). Let q = -5736 + s. Is q a composite number? False Suppose -6366099 = -69*v + 3111672. Is v a composite number? False Let q(i) = 5189*i - 31. Let v be q(11). Suppose 10*s = -1652 - v. Is s/(-22) + (-27)/33 + 1 a composite number? True Let y(o) = 20611*o**2 + 29*o - 6. Let k be y(3). Is 1 + -4 + k/45 prime? False Let a be 4/1 + 362 + -249. Let z(h) = 7*h**2 - h + 4. Let q be z(-4). Suppose a + q = 3*f. Is f composite? False Let l be (-1663)/2 + (-54)/36. Let a = 1920 + l. Is a prime? True Suppose -535*x + 14981655 = -496*x. Is x a composite number? True Suppose 6*h = -4*h + 140. Suppose h*f = 11129 + 7337. Is f a prime number? True Let r = 162480 - 109931. Is r a prime number? False Is -2122519*((-1)/35)/((-29)/(-145)) composite? False Let z = 47144 + 59163. Is z prime? True Suppose 5*q - 177098 = 3*z, -3*z + 35501 = -2*q + 106342. Is q a composite number? False Is (8/12 - 168320/5)/((-34)/51) composite? True Let j(n) = 105*n**3 + 7*n**2 + 12*n + 12. Let t be j(9). Suppose 53*d = 56*d - t. Is d/24 - 2/(-6) composite? True Let l = 12851 - 120329. Is 8/(-3)*(l/(-24))/(-7) a prime number? False Suppose 2*y = 4*k - 8, -7*k + 12 = -2*k - 2*y. Is 10362/9 + 3*k/(-36) a composite number? False Suppose 3*p + 6 = 3*b, -p - 18 = -5*b - 0*b. Suppose k = b*z - 8519, -38 = -4*k - 50. Is z a prime number? True Let r be 15*1/(-10)*8. Let b be 3 - (r/(-2))/(-3). Suppose 0 = x + q - b*q - 431, 4*q + 1261 = 3*x. Is x a composite number? True Suppose 1693838 = 4*g - 2*t, 0 = -t + 68 - 73. Is g a composite number? False Let s be 188/(-1034) + (-3)/((-33)/398). Is 195870/135 - (-4)/s prime? True Let k = -4221 + 7409. Suppose -12*l = -k - 136840. Is l a prime number? False Let l = -218 + 195. Let q(s) = -2*s**2 - 8*s - 25. Let r be q(-12). Is (l/(-46))/(r/218 + 1) composite? False Let i(g) = 98*g**3 - 32*g**2 + 3*g - 7. Let t(x) = -33*x**3 + 11*x**2 - x + 2. Let j(s) = -4*i(s) - 11*t(s). Is j(-5) prime? False Suppose 11*n - 16 = 39. Suppose -n*a - 5*k + 5585 = -105, 0 = 3*a + 2*k - 3411. Is a a prime number? False Let t be (-1 - -5)/(12/(-42)). Let q(w) be the second derivative of -95*w**3/6 + 8*w**2 + 5*w. Is q(t) composite? True Suppose 8*x - 3618109 = -2*q + 5*x, 5*x - 7236221 = -4*q. Is q prime? False Let f(p) = -12*p**3 - p**2 - 20*p - 17. Is f(-6) composite? False Suppose 8*g = 24 + 16. Suppose -g*c + x + 17 = 0, -4*x + 0*x + 24 = 3*c. Suppose -c*n = 5*m - 3399, 0 = 2*n + 2*m - 3*m - 1703. Is n composite? True Is (8 + 3*(-14)/6)*89909 a prime number? True Let d = 3049 + -6832. Let u = d - -21568. Is u a composite number? True Let l be -2*3*(-36)/(-2). Let t = -252 + 49. Let x = l - t. Is x prime? False Suppose 0 = 24*w - 28 - 68. Suppose 0 = 2*b - v - 16193, 4*b + w*v = b + 24306. Is b composite? True Suppose -10*u = -61 + 11. Suppose -2*b + 3*h + 2691 = 0, 3*h + 1341 = b - 9. Suppose -3*s + b = 3*d, -191 = -2*d - u*s + 697. Is d composite? False Let w = -22162 + 38022. Let f = w - 9221. Is f a prime number? False Suppose -2 = 12*l - 13*l. Suppose -7 = -l*v + 7. Suppose -y - 2802 = -v*y. Is y a composite number? False Let k = 167 + -165. Suppose -7*b = -3*b - 5*l - 16921, k*l = -2. Is b composite? False Let q(o) = 338*o**3 - 17*o**2 + 14*o + 13. Is q(6) a prime number? True Suppose 3*b - 281 = -290. Let g(n) = -3745*n - 58. Is g(b) prime? True Let u(p) = 2*p + 13. Let t be u(-4). Suppose -t*j = 5*j - 18000. Suppose 5*w - 245 = j. Is w a composite number? False Let v be (-4)/6*(-1252 + -32). Suppose 4*g + 4*n - v = 0, 511 = 3*g + 5*n - 137. Is g composite? False Let a(g) = 276*g**2 + 37*g - 100. Is a(11) a composite number? False Let x(p) = p + 27. Let q be x(24). Suppose -4*f - 55 + q = 0. Let t(w) = -145*w**3 - 3*w**2 - 2*w + 1. Is t(f) composite? True Let j(i) = i + 685. Let p(t) = t**3 - 2*t**2 - 10*t - 6. Let q be p(5). Let z = q + -19. Is j(z) composite? True Let a(r) be the third derivative of -17*r**6/30 + r**5/10 - r**4/4 - 17*r**3/6 - 112*r**2. Is a(-5) prime? True Suppose 4*c - 5*c - 24 = 0. Let h be 2*(-4)/c + (-7702)/(-6). Suppose 0*z - 2*z + 4*g = -h, 4*z - 3*g - 2548 = 0. Is z a composite number? True Let v be (24/(-28))/(-3) + (-106390)/(-35). Let y = v + -1763. Is y composite? False Let k = -17205 - -37209. Suppose -18*u + 49398 = k. Is u a prime number? False Let c be 0/(2 + 0) - (0 - -1). Let f be 1195/1 + (1 - c/1). Suppose -3*j = -2550 - f. Is j a composite number? False Suppose 7419 = 4*i - 7*i + 3*m, 3*m = -3*i - 7395. Let r = 6436 + i. Is r prime? True Is (3 - (-48)/(-15))/((-12)/143940) composite? False Is 168/20 - 18/(-30) - (-18 - 166208) a composite number? True Let s(f) be the first derivative of 2*f**3 + 3*f**2/2 - 4*f + 1. Let u be ((-4)/(-2))/(25*(-6)/(-225)). Is s(u) a composite number? False Let h = 9559 + -5628. Suppose 4*q - 6*l - 15706 = -7*l, -2*l - h = -q. Suppose 0 = 4*b + 763 - q. Is b prime? False Let x(r) = 3*r + 26. Let j be x(-7). Suppose n - 290 = 4*v, 6*n - j*v - 295 = 5*n. Suppose 4*k = 2*p - n, 5*p - 711 = k - 3*k. Is p prime? False Suppose 0 = b - o - 203, -3*o = 4*b - 6*o - 812. Let s(z) = 88*z - 8. Let f be s(6). Let j = f - b. Is j a composite number? False Suppose -5*c + 885050 = 3*t - 429194, -4*t - 525734 = -2*c. Is c prime? True Suppose 5*c - 5*d + 12030 = 0, 0 = -c + 6*c + 3*d + 12038. Let u = -961 - c. Let b = u + -863. Is b prime? False Let b = -11241 - -76568. Is b a prime number? True Let u = 13721 - 21498. Let q = u - -58478. Is q a prime number? False Let q(j) = 5*j - 78. Let p be q(25). Suppose p*m = 19*m + 3556. Is m composite? False Suppose -123 = -7*d + 7570. Let m be -1*393*(-2)/3. Let g = d + m. Is g composite? False Suppose j = -4*v + 405, -2*j = 2*v - 88 - 110. Let s = v + 171. Suppose 4*g = 7*g - s. Is g a composite number? True Suppose -2*u = j - 5*u, j = -4*u. Suppose -490 = -8*w + 6*w. Suppose v - 1032 + w = j. Is v a prime number? True Let j be (108/(-22))/6 - (-6)/(-33). Is (10/4 + j)*(-13457978)/(-447) prime? True Is (1415 - 0)*6/10 a composite number? True Let h be 565389 + (3 - (7 + 4)). Suppose -238521 = -22*a + h. Is a composite? False Let d = 14579 - 2005. Let f = d + -7487. Is f a prime number? True Let f = 45167 - -468882. Is f prime? True Let w(o) = -478*o**2 + 26*o - 83. Let x be w(4). Let y = -2004 - x. Is y prime? True Let w = -25 + 31. Let k be 0/(w*4/(-8)) - 14. Is (k - -16)/((-4)/6) + 505 composite? True Suppose 4*s + 23 = -5*f, 4*s + 11 = -105*f + 104*f. Let p(d) = 168*d - 3. Let r be p(2). Is s*(1 + r/(-6)) composite? False Let y(q) = -64*q - 10. Let d be y(-4). Suppose 247*v - 6031 = d*v. Is v prime? False Let g(w) = -w**2 - 15*w - 14. Let u be g(-14). Let o be 1/1 + 4 - u. Suppose -6*f = -o*f - 2605. Is f prime? False Let f(b) be the second derivative of -b**3/6 + b**2/2 - 6*b. Let o be f(-3). Is (-2 + -1256)*(o + 9/(-2)) a composite number? True Suppose -212*z + 394244946 = -23*z - 126988893. Is z a prime number? True Let l(s) = 638*s**3 - 6*s**2 + 29*s - 221. Is l(8) a composite number? True Let o be -6 - (-7)/1 - (-2)/(-2). Suppose -12*i + 17*i = f - 356, 2*i + 6 = o. Is f a composite number? True Suppose -g - 2*o + 21 = 0, -8*o + 5 = -3*o. Suppose 21*p - 27508 = g*p - 3*h, 3*p - 4*h = 41245. Is p composite? False Let z = -420 - -4673. Is z a prime number? True Let o(d) = 6*d + 13*d**2 + 10*d**2 + 32 - 23*d - 4*d**2. Is o(9) prime? False Let j(d) = 64*d**2 - 139*d + 2. Let a = 924 - 909. Is j(a) a prime number? False Let j(k) = 9229*k - 2895. Is j(8) prime? True Suppose 4*c + 5*f = 90709, 5*c - f + 12337 = 125745. Is c composite? True Is 1738722/22 + (-1608)/(-132) + -12 composite? True Suppose -5470 = 7*z - 298833. Let l = -29268 + z. Is l a composite number? False Suppose -5 = -5*m, -m - 6071 + 43758 = 3*q. Suppose -5*s = -1323 - q. Is s a prime number? True Suppose 4*s - 5 = 9*s. Let i be (2/s)/((-7)/(-56)*-4). Suppose i*c = 70344 - 16564. Is c prime? False Let x(s) = 119247*s - 106. Is x(1) a composite number? True Let f(q) = 1058*q**3 + 8*q**2 + 8*q + 5. Let
{ "pile_set_name": "DM Mathematics" }
4*n**3 + 6*n**2 + 2*n - 7. Let g(q) = -q**3 + q**2. Calculate -6*g(s) + h(s). 2*s**3 + 2*s - 7 Let w(i) = i - 1. Let x(h) = 16*h. Determine 5*w(a) - x(a). -11*a - 5 Let h(s) = 2*s**2 - 1. Let k(m) = -26*m**3 + 2*m**2 - m - 1. Give 2*h(v) - k(v). 26*v**3 + 2*v**2 + v - 1 Let v(b) = -6*b**3 + 5*b**2 + 6*b - 7. Let a(s) = 3*s**3 + 6*s**2 + 4 - 8 - 3*s + 7 - 8*s**2. Determine 7*a(c) + 3*v(c). 3*c**3 + c**2 - 3*c Let g(h) = 6*h**2 - 10*h - 7*h**2 + 4*h**2 - 2 + 1 - 6. Let t(f) = f**2 - 3*f - 2. Give 4*g(c) - 14*t(c). -2*c**2 + 2*c Let y(f) = f + 1. Let q(s) be the third derivative of -s**4/24 - 17*s**3/6 + 147*s**2. What is -q(b) - 3*y(b)? -2*b + 14 Let l(v) = -15*v**3 + 3*v**2 + 10*v + 3. Let a(y) = -15*y**3 + 3*y**2 + 8*y + 2. Calculate -5*a(g) + 4*l(g). 15*g**3 - 3*g**2 + 2 Let i(v) = -113*v**2 + 27*v - 134*v**2 + 455*v**2 - 27 - 139*v**2. Let g(s) = 10*s**2 + 4*s - 4. What is 27*g(p) - 4*i(p)? -6*p**2 Let a(i) = -i**3 - 3*i + 6. Let v(u) be the first derivative of -u**4/4 - u**2 + 5*u + 76. Let k be (-1)/(-2)*4/1. Give k*a(h) - 3*v(h). h**3 - 3 Let z be 3 - 12 - 2 - -181. Let s(m) = 195*m. Let t(u) = -7*u. Calculate z*t(l) + 6*s(l). -20*l Let x(n) = -122*n**3 - 4*n**2 + n + 2. Let v(g) = -241*g**3 - 7*g**2 + 2*g + 4. What is -4*v(l) + 7*x(l)? 110*l**3 - l - 2 Let t(z) = 8*z + 4. Let r(h) = 9*h + 4. Calculate 5*r(c) - 4*t(c). 13*c + 4 Let v(c) = 441*c + 99. Let u(y) = 2*y**2 - 23*y + 13. Let l be u(11). Let a(w) = 9*w + 2. Determine l*v(f) - 99*a(f). -9*f Let m(a) = -a**3 + a + 2. Let y(n) = -2*n**3 - 2*n**2 + 5*n + 10. Give -4*m(i) + y(i). 2*i**3 - 2*i**2 + i + 2 Let n(s) = -s**2 + 7*s. Let m = 82 - 83. Let y = m + 8. Let o(v) = -3*v. What is y*o(c) + 3*n(c)? -3*c**2 Let n(l) = -9*l + 9*l**2 - l**2 - 2*l. Let c(b) = -b. Suppose 0 = -3*r - 0*r + 6. Let d(p) = p**2 - 2*p. Let y(f) = r*c(f) - 3*d(f). Calculate 4*n(k) + 11*y(k). -k**2 Let q(z) = -z**3 - 7*z**2 - 7. Let w = 1717 + -1719. Let n(y) = -3*y**2 - 3. Determine w*q(b) + 5*n(b). 2*b**3 - b**2 - 1 Let j(d) = -6*d**2 - 9*d - 6. Let c(m) = -m**2 - 2*m - 1. Determine -11*c(a) + 2*j(a). -a**2 + 4*a - 1 Let l(z) = 2*z**2 + z. Let w(g) = g**3 + g**2 + g + 1. Let v = -40 + 42. Suppose s - 3*c = -16, 2*c - 3 = -v*s + c. Calculate s*w(q) + l(q). -q**3 + q**2 - 1 Let m(q) = 3*q + 2. Let l be (5/4)/((-1)/4). Let f = l + 4. Let c(s) = s**2 + s + 1. Determine f*m(w) + 2*c(w). 2*w**2 - w Let j(w) = -3*w**2 + 5*w + 5. Let n = 12 + -7. Let t(k) be the first derivative of -3/2*k**2 - 5 - 3*k + 2/3*k**3. Give n*t(x) + 3*j(x). x**2 Let t(a) = -3*a**2 - 5*a - 8. Suppose -9 + 12 = -2*g - 5*y, -y = -5*g - 21. Let p(q) = -2*q**2 - 4*q - 7. Calculate g*t(x) + 5*p(x). 2*x**2 - 3 Let p(z) = -z - 1. Let n(q) = 4*q + 11. Let b(r) = -r - 2. Let y(u) = -11*b(u) - 2*n(u). Determine p(f) + y(f). 2*f - 1 Let u(b) = -13*b**3 + 6*b**2 + 6*b - 6. Let x(d) = -13*d**3 + 7*d**2 + 8*d - 7. Calculate 7*u(o) - 6*x(o). -13*o**3 - 6*o Let u(w) = -2 + 3 + 1. Let v be 6*(-8 - 265/(-30)). Let p(b) = 3*b - 9. Let q(j) = -j + 3. Let m(a) = -6*p(a) - 17*q(a). What is v*u(f) - 3*m(f)? 3*f + 1 Let r(c) = -4*c**2 - 6*c + 3. Let f(j) = -3*j + 3. Let w(g) = -2*g + 2. Let o(m) = 3*f(m) - 4*w(m). Give 6*o(v) - r(v). 4*v**2 + 3 Let j(b) = 14*b**2 + 5. Let q(m) = -m**2 - 1. Let p(l) = 4*l + 1. Let h be p(0). Give h*j(d) + 5*q(d). 9*d**2 Suppose 4*x - 169 = -189. Suppose -2*c - 2 = -4*r, 5*c + 4 = 4*r - 1. Suppose -3*g + 0*g - 6 = r. Let p(t) = -3*t + 1. Let f(u) = u. What is g*p(q) + x*f(q)? q - 2 Let v(p) = -120*p + 35. Let n(g) = -7*g + 2. Let s(q) = -10*q - 3*q + 15*q + 26 - 3*q. Let u be s(24). Give u*v(i) - 35*n(i). 5*i Let y(u) = u - 1. Let q(g) = 4*g - 5. Let n be 5/4 + 3/(-12). Let a(j) = n*q(j) - 5*y(j). Let p(f) = f + 2. Determine 4*a(c) + p(c). -3*c + 2 Let k = 5 + -2. Let l(t) = 9*t**2 - 5*t + 9. Let m(v) = -5*v**2 + 3*v - 5. Determine k*l(j) + 5*m(j). 2*j**2 + 2 Let b = -96 - -58. Let k = b + 16. Let a = -17 - k. Let x(w) = -4*w**2 + 5*w. Let j(l) = l**2 - l. What is a*j(o) + x(o)? o**2 Let q(t) = -3*t**3 + 39*t**2 + 2. Let j(o) = 8*o**3 - 120*o**2 - 6. What is 4*j(x) + 11*q(x)? -x**3 - 51*x**2 - 2 Let l(n) = -n. Suppose -15*p + 2*x = -14*p - 5, -10 = 4*p + 2*x. Let o(v) = 22*v. Determine p*o(f) - 3*l(f). -19*f Let v(z) = -2*z - 2. Let b(m) = m. Let k(q) = -3*q. Let h(l) = 5*b(l) + 2*k(l). What is 3*h(s) - v(s)? -s + 2 Let n(s) = -2*s**2 - 21*s + 3. Let z(o) = -4*o**2 - 42*o + 7. Determine 7*n(k) - 3*z(k). -2*k**2 - 21*k Let i(q) be the first derivative of -q**4/2 + 6*q**3 - 18*q + 21. Let t(k) be the second derivative of k**4/12 - k**2/2 + k. Calculate 2*i(m) - 36*t(m). -4*m**3 Let x(d) = -12*d - 191. Let o(b) = -5*b - 95. Calculate 5*o(a) - 2*x(a). -a - 93 Let c(b) = -b**3 - b**2 + b - 1. Let x(d) = 14*d**3 + 5*d**2 - 5*d + 6. What is 6*c(f) + x(f)? 8*f**3 - f**2 + f Let v(p) = -3*p**2 + 4*p - 7. Let n be 4/(-16) - 27/(-12). Let l(x) = 2*x**n + 0*x**2 - 13*x - 15*x + 6 + 25*x. Calculate 4*l(r) + 3*v(r). -r**2 + 3 Suppose -1 = 3*n - 7. Let w(o) = 5*o - 4*o + 12*o + 13 - 6*o**n. Let y(j) = -j**2 + 2*j + 2. Calculate 6*w(v) - 39*y(v). 3*v**2 Let v(z) = 9*z**3 - 11*z**2 + z. Let x(u) = 14*u**3 - 17*u**2 + 2*u. Suppose 5*r - 5*m = 0, 3*m = 4*r - 2*m - 5. Calculate r*x(o) + 8*v(o). 2*o**3 - 3*o**2 - 2*o Let t(n) = -17*n**3 + 723 - 723 + 14*n**3 + 11*n. Let o(r) = r**3 - 4*r. Give 8*o(b) + 3*t(b). -b**3 + b Let q(z) = -87*z**3 - 42*z**2 + 6*z - 7. Let x(y) = -88*y**3 - 36*y**2 + 5*y - 6. Give -6*q(c) + 7*x(c). -94*c**3 - c Let u(x) = -3*x**2 + 4*x + 1. Let b be u(2). Let l(w) = 3*w**2 - 3*w - 1. Let v(h) = 6*h**2 - 5*h - 2. Give b*v(q) + 5*l(q). -3*q**2 + 1 Let z(x) = 10*x**3 - 2*x**2 + 5. Let v(i) = 39*i**3 - 9*i**2 + 21. What is 2*v(j) - 9*z(j)? -12*j**3 - 3 Let p(b) = 45 - 106 + b + 18 + b**2 + 43. Let t(c) = -17*c**2 - 6*c. What is 6*p(h) + t(h)? -11*h**2 Let g(b) = -15*b**2 - 8*b - 3. Suppose -29*v - 43 + 130 = 0. Let f(w) = -5*w**2 - 3*w - 1. Give v*g(k) - 8*f(k). -5*k**2 - 1 Let j(i) = -i**2 - i. Let r be ((-4)/16)/((-3)/36). Let q(g) = -10*g**2 - 3*g. Calculate r*j(o) - q(o). 7*o**2 Let h(d) = 9*d. Let v(u) = u. Let j = 7 + -5. Suppose 0 = 2*g + 4*i - j, -2*g + 0 = 2*i - 2. Let p be 6 + -7 - (g + -1). Calculate p*h(o) + 12*v(o). 3*o Let q(l) = l + 84. Let g(v) = -v - 83. Calculate -7*g(p) - 6*q(p). p + 77 Let i(b) = 2*b**3 + b**2 - b + 7. Let q be i(-2). Let m(l) = -7*l**2 - 5*l - 5. Let h(y) = 4*y**2 + 2*y + 3. Calculate q*m(v) - 5*h(v). v**2 + 5*v Let u = 717 + -714. Let a(y) = 8*y**2 + 6*y + 4. Let b(c) = -7*c**2 - 5*c - 3. Give u*a(l) + 4*b(l). -4*l**2 - 2*l Let v(p) = -38. Let n(c) = -c. What is 2*n(f) + v(f)? -2*f - 38 Let t(g) = -3 + 53*g**2 + 5 + 3*g + 42*g**2 - 97*g**2. Let z(v) = -v - 1. Give -t(m) - 4*z(m). 2*m**2 + m + 2 Let m(y) = 119*y**3 + 3. Let g(i) = -40*i**3 - 1. What is 17*g(p) + 6*m(p)? 34*p**3 + 1 Let l(v) = -v**2 + v + 1. Let h(m) = 4*m**2 + 210*m - 3. Calculate -h(k) - 3*l(k). -k**2 - 213*k Let v = 93 - 91. Let j(z) = -26*z + 23*z + 1 + v*z**3 + 1 - 5 - z**2. Let w(o) = -o**3 + o**2 + o + 1. Give j(h) + 3*w(h). -h**3 + 2*h**2 Let r(g) = 40*g**2 - 4*g. Let m(c) = 161*c**2 - 18*c - 1. What is -2*m(k) + 9*r(k)? 38*k**2 + 2 Let z(a) = 105*a - 28. Let y(x) be the third derivative of -19*x**4/24 + 5*x**3/6 - 2*x**2 + 25*x. Calculate 28*y(l) + 5*z(l). -7*l Suppose -5 = 3*r - 4*r. Suppose -2*d = -4*q - 0*d + 10, 12 = -3*q - r*d. Let x(c) = -c**2 + c. Let l(u) = 1 + 6 - 9 - 2*u. What is q*l(y) + 2*x(y)? -2*y**2 - 2 Let y(u) = 6*u**2 + 11*u + 2. Let v(b) = -5*b**2 - 7*b - 1. Calculate -3*v(j) - 2*y(j). 3*j**2 - j - 1 Let q(l) = 8*l - 11. Let t(k) = -2*k - 13. Let i(d) = 19. Let y(f) = -5*i(f) - 6*t(f). Determine -8*q(a) + 5*y(a). -4*a + 3 Let r(y) = y + y + 3*y - 6*y. Let b(w) = 17*w - 23*w + 11*w. Calculate -6*b(f) - 26*r(f). -4*f Let i(n) = -9*n**2 - n + 2. Let x be i(-2). Let k = x - -33. Let l(w) = -w**2 + w. Let g(c) = -c**3 - 6*c**2 + 6*c. Determine k*g(r) - 6*l(r). -r**3 Let x(h) = 6*h**3 + 3*h + 3. Suppose -2 = 2*a - 8. Suppose 32 = -6*m - 10. Let q(d) = 13*d**3 + 7*d + 7. Give a*q(f) + m*x(f). -3*f**3 Let r(c) = -13*c + 1. Let x(y) = -22*y + 2. What is -7*r(b) + 4*x(b)? 3*b + 1 Let n(z) = 6*z - 144. Let x(c) = -8*c + 146. Calculate 3*n(u) + 2*x(u). 2*u - 140 Let k(b) = 7*b - 9. Let r(d) = -4*d + 4. Suppose
{ "pile_set_name": "DM Mathematics" }
- 1/2*r**2 + 0*r**3. Let t(x) be the first derivative of d(x). What is t(1)? 4 Let s(t) = 8*t - 7. Let y(l) = -l + 1. Let j(h) = 3*s(h) + 21*y(h). Let f(q) = q**2 + q - 3. Let r be f(3). Let p = -7 + r. What is j(p)? 6 Suppose 31 = -2*s + 5*s - 5*j, -j - 1 = 2*s. Let o(w) = 4*w - w + 0*w - w**s. Let d(i) = i**2 + 4*i - 8. Let c be d(-6). Determine o(c). -4 Let w(q) = -5*q + 1. Let b be w(0). Let o(z) = -12*z + 1. Give o(b). -11 Let x(l) = l**2 + 2*l - 4. Let w be x(2). Let k(g) = g**3 - 4*g**2 + 2. Calculate k(w). 2 Suppose -3*g = -4*g + 4, 7 = 5*f + 3*g. Let d(l) = -6*l - 1. Determine d(f). 5 Let j be 30/(-50) - (-6)/10. Let n(f) = f**2 - f + 14. Determine n(j). 14 Suppose -25 = -5*d - 0*d. Let u(k) = -5*k + 6. Let b(p) = -9*p + 12. Let f(s) = d*u(s) - 3*b(s). Suppose 18 = 4*x - x. Give f(x). 6 Let o(w) be the first derivative of w**3/3 - 2*w**2 - 7. Let r be (-4)/(-2) + 1 - -1. Suppose 4*x = 8 + r. What is o(x)? -3 Let r(g) = -16*g**2 + 13*g - 3. Let v(n) = -5*n**2 + 4*n - 1. Let f(p) = 2*r(p) - 7*v(p). Calculate f(1). 2 Let c(j) be the first derivative of j**2/2 + 3*j + 1. Suppose -2 = 2*i + 2*a, 0*i + 2*i = -3*a + 2. Give c(i). -2 Let n(t) = 7*t. Let y(w) = -10*w. Let x(a) = -7*n(a) - 5*y(a). Calculate x(2). 2 Let a(k) = 9*k**2 + 11*k + 21. Let i(n) = -5*n**2 - 6*n - 11. Let f(b) = 6*a(b) + 11*i(b). Suppose 4*p - 2 = p - g, -4*p - 2 = -g. Determine f(p). 5 Let z = -1 - -2. Let w(t) be the second derivative of -t**7/504 - t**4/4 - 7*t. Let l(q) be the third derivative of w(q). What is l(z)? -5 Let c(i) = 4 + 2 - 2*i**2 - 5. Determine c(1). -1 Let k(t) = -t**2 - 5*t + 6. Suppose 0 = 4*y + 29 - 5. Give k(y). 0 Let n = 1 - 4. Let p(l) = -9*l + l + 1 + 12*l + 3. Give p(n). -8 Let b(x) = -x + 7. Let r be 5/2*(-38)/(-19). What is b(r)? 2 Let g(o) be the second derivative of -o**5/20 + 2*o**4/3 + 3*o**3/2 - o**2/2 - 8*o. What is g(9)? -1 Let d(i) = -i**3 - 7*i**2 - 6*i - 6. Let n be d(-6). Let c = n + 8. Let l(a) = -a**3 - a + 2. Determine l(c). -8 Suppose -8 = g - 3*g. Let l(b) = b**3 - 2*b**2 - 4*b - 3. Let z be l(g). Suppose -y = -6*y + 2*c - z, 0 = -5*y + c - 9. Let j(n) = 4*n**2 + 1. What is j(y)? 5 Let x = 3 + -5. Let v(p) be the third derivative of 0 + 1/30*p**5 - 2*p**2 - 1/3*p**3 + 0*p + 0*p**4. Give v(x). 6 Let w be 8/(-36) + (-4)/(-18). Let d(b) be the first derivative of b**2/2 - 7*b + 19. Give d(w). -7 Let v = -18 + 20. Let h(g) be the third derivative of -1/120*g**6 - 2/3*g**3 - 3*g**v + 0*g + 0 + 1/12*g**4 + 1/12*g**5. Determine h(5). 6 Let i(w) = 2 - w - 5*w**2 - 1 - w. Let n be (-9)/(-6)*24/9. Suppose 2*u + 2 - n = 0. Calculate i(u). -6 Let p = 2 - -1. Suppose -4*o - 5*z = 0, -p*o - 2*z = 2*o. Let j(t) = -10*t**2 - 10*t**2 - 7*t**2 + 26*t**2. Give j(o). 0 Let l = -3 - -10. Let x(b) = -3*b + 11*b - 4 + 8*b**2 - 2*b**2 + 2040*b**3 - 2041*b**3. Determine x(l). 3 Let h(m) be the second derivative of -m**5 + m**4/12 + m**3/6 - m**2/2 - 34*m. Give h(1). -19 Let g = -19 + 23. Suppose 3*s + 0*o - 20 = g*o, -20 = 4*s + 4*o. Let z(u) = -u + 8. What is z(s)? 8 Let d(k) be the second derivative of -k**4/12 - 5*k**3/6 + 3*k**2/2 - 3*k. Suppose -3*j = 3*j + 30. Determine d(j). 3 Let b(o) = o + 8. Let r be b(-6). Let u(d) = 3 + 2*d**r - 1 - d**2. Calculate u(0). 2 Let m(g) = g. Let c(y) = -6*y + 4. Let o(r) = -c(r) - 5*m(r). Calculate o(3). -1 Let z(u) = u**3 + u**2 + 2. Let g be (-36)/(-16)*-1 - (-1)/4. Determine z(g). -2 Suppose 5 = 3*n - 4*h, -n - 2*h - 6 = -3*n. Let l(v) = v**2 - 9*v + 9. Calculate l(n). -5 Let u = -8 - -5. Let x(w) be the second derivative of w**3/6 + 7*w**2/2 + 22*w. Determine x(u). 4 Let g(t) = -3*t**3 + t**2 - 1. Let f be ((-40)/(-6))/(1/(-3)). Let k be (-2)/5 + (-28)/f. Give g(k). -3 Let l(o) = -1. Let w(n) = -3*n + 12. Let x = -24 - -12. Let b(j) = x*l(j) - w(j). Suppose 3*a - 19 = -4*g, g + 7 + 2 = 2*a. Give b(g). 3 Let u(f) = 2*f**2 + 6*f + 1. Suppose 0 = -4*y + 2*m - 26, -y + 3*m - 10 = 9. What is u(y)? 9 Let l(o) = -o**3 + 10*o**2 + 12*o - 5. Let u be l(11). Let h(g) = -g**3 + 6*g**2 + 2*g - 6. Determine h(u). 6 Let l(j) be the third derivative of j**7/840 + j**6/360 - j**5/30 - j**4/8 + 2*j**3/3 + 3*j**2. Let o(u) be the first derivative of l(u). Give o(-3). -9 Let w(t) = t**2 + t. Let x(a) = -6*a**2 - 6*a + 4. Let s(q) = 5*w(q) + x(q). What is s(-3)? -2 Let v(g) be the first derivative of 4*g - g**3 + 2 - 1/4*g**4 + 2*g**2. Calculate v(-4). 4 Let n(u) = -u**2 + u - 4. Suppose -b - 4*l - 20 = 0, -b + 4*l - 3*l + 5 = 0. Give n(b). -4 Let c(h) be the second derivative of 2*h**3/3 - 7*h**2/2 - 26*h. Calculate c(5). 13 Let i(y) = y + 2. Let p(t) = -2*t - 9. Let d be p(-7). Suppose 0 = d*n + 3*g + 11, 0 = -2*n + 4*g - 4 - 16. Give i(n). -2 Let m(p) be the first derivative of -p**2 - 5*p + 4. Let l be ((-4)/(-3))/((-3)/9). What is m(l)? 3 Let w(h) = -1 + 4*h + 6 - h + 3. Let g(z) = 7 - z + 2*z + z. Let k(i) = 4*g(i) - 3*w(i). What is k(6)? -2 Let o(y) = -2*y + 7. Let v be 68/10 - (-17)/85. What is o(v)? -7 Suppose 2*z + 5*t - 12 = 0, t = 3*z - 3 - 15. Suppose -z = 3*j - 4*j. Let n(f) = f**2 - 6*f - 1. Determine n(j). -1 Let h(m) be the first derivative of 3*m**2/2 + 2*m + 2. Give h(-3). -7 Suppose -7 = 3*i - 5*k, 1 = i + 2*k - 3*k. Let l(y) be the third derivative of 1/6*y**3 - 1/8*y**4 + 1/20*y**5 + 0 + 1/120*y**i + y**2 + 0*y. What is l(-4)? -3 Let y be (12/(-10))/(3/(-10)). Let l(x) = x + 17*x**2 - 16*x**2 - y*x - 2*x. Determine l(5). 0 Suppose 2*h + 3*h = 20. Suppose -h = -o - 2. Let m(q) = q**o + 2*q**2 - q**2. What is m(1)? 2 Let h(a) be the first derivative of -a**4/4 + a**3/3 - a**2/2 - 3*a - 43. Determine h(0). -3 Let v(x) be the second derivative of -x**5/20 + x**4/3 + 2*x**3/3 - 7*x**2/2 + 3*x - 3. Let q = -4 + 9. Give v(q). -12 Suppose y - 5*t = -6 - 17, -2*y - t = -9. Let n(m) = -m + y + 3*m - 3. Give n(-5). -11 Let g(y) = 4*y + 4. Let d = -112 - -117. Calculate g(d). 24 Let b(k) = 7*k - 14. Let i(d) = 13*d - 27. Let j(y) = 11*b(y) - 6*i(y). What is j(4)? 4 Let k(s) be the first derivative of s**7/840 - s**6/120 + s**5/60 - 7*s**3/3 + 2. Let t(l) be the third derivative of k(l). Determine t(3). 6 Let j(f) = 2*f**2 + f - 6. Let w(n) = -n**2 - 2*n + 8. Let d(l) = -3*l**2 - 6*l + 25. Let t(v) = 2*d(v) - 7*w(v). Let z(q) = -2*j(q) + 3*t(q). Determine z(5). -11 Let j = 4 + -6. Let i = -2 + j. Let z = i + 3. Let n(c) = -2*c**3 + c**2 + c. What is n(z)? 2 Let k(x) = -x**3 + 3*x**2 + 3. Let i(v) = -v - 1. Let o(l) = 3*i(l) + k(l). Suppose -2*g = -b + 2, 3*b = 11 + 1. Let r be 2*(-1 - -2)*g. Determine o(r). -2 Let n(o) = 2*o + 1. Let p be n(1). Let q(u) = 4 - 4 + 2 - p*u. Determine q(2). -4 Let o(b) = -26*b + b**3 + 0 + 12*b - b**2 + 12*b - 1. What is o(2)? -1 Let r(f) be the first derivative of -f**4/4 - 5*f**3/3 - f**2 - 7*f + 1. Let m be (-27)/(-18)*(-22)/3. Let a = m + 6. Determine r(a). 3 Suppose -4*l + 5*u = -30, 3*l - u - 11 = -3*u. Let w(p) = -5*p**3 + 8*p**2 + p - 2. Let g(i) = i**3 - i**2 + i + 1. Let h(n) = 4*g(n) + w(n). What is h(l)? 2 Let j be (-32)/(-5) - 2/5. Let f be 9/j*16/6. Let w(l) = -f + 3 + 2 + 2*l. Calculate w(1). 3 Let o be -8*(-1 - (-1)/2). Let v be (o/(-6))/(2/(-9)). Let p(g) = 0*g + 3 - v*g + 2. Determine p(4). -7 Let f = 0 - -5. Let b(g) = -26*g - 12. Let i(l) = -5*l - 2. Let t(n) = 3*b(n) - 16*i(n). Calculate t(f). 6 Let v(r) = 2*r**2 + 2*r - 2. Let w(q) = -7*q**3 - 1. Let p be w(-2). Let h be (-2)/8 - p/20. Give v(h). 10 Let c(b) = -b**2 - 2*b. Suppose 0 = 3*d - d. Suppose -1 = 2*x + 1. Let s = d + x. Calculate c(s). 1 Let v(t) be the second derivative of 2*t + t**2 - 1/3*t**3 + 0. Suppose -2*o = -6, -3*i + 21 = 5*o - 3*o. Calculate v(i). -8 Let o(f) = 8*f**2 + 2*f + 10. Let q(r) = -5*r**3 - 1. Let x be q(1). Let y(g) = -7*g**2 - 2*g - 9. Let b(n) = x*o(n) - 7*y(n). What is b(-3)? 6 Let y = -3 + 6. Let d be -1*(-2 + 4 - y). Let w(v) = -4*v**3 + v. Determine w(d). -3 Let p(b) = b**2 - 5*b - 1. Let l be 0 + (6 - 3) - -3. Suppose 4 = 2*g - l. Determine p(g). -1 Let g(h) be the second derivative of -h**3/6 + h**2/2 + 4*h. Let k = 5 + -4. Let b = -2 + k. Give g(b). 2 Let x(o) = -6*o**3 + 4*o**2 + o - 1. Let h(j) = -j**3 - j**2. Let q(r) = 3*h(r) + x(r). Give q(1). -8 Let f(y) = -y + 4. Let p be 2/10 + 3/(30/38). Calculate f(p). 0 Let t(f) = -5*f**2 - 14 + 2*f**3 - 3*f**3 + 7. Calculate
{ "pile_set_name": "DM Mathematics" }
he third smallest value in l, 0.4, -2? l Let o = 11 + -6. Let x = o + -4. Which is the second smallest value? (a) 2 (b) -0.4 (c) x c Let w be 6/(-70) - (-8)/(-40). Which is the biggest value? (a) -1/5 (b) -2 (c) w a Let f(i) = -i**2 - 8*i - 6. Let h be f(-8). Which is the third smallest value? (a) h (b) -0.5 (c) -1 (d) -3/4 d Let j = 0.5 - 0.2. What is the third smallest value in 1, j, 3/5? 1 Let d be ((-96)/52)/(-1) - 2. Let a = -6.4 - -6. What is the second biggest value in a, d, -1/4? -1/4 Let t = -2/31 - 85/124. Which is the smallest value? (a) 7 (b) t (c) -2/13 b Let j = -0.42 - -0.12. Which is the biggest value? (a) 0.3 (b) 3/5 (c) j b Let l = 0.2 + 0. Let o = 206.8 - 227. Let z = o - -20. What is the second smallest value in l, z, 4? l Let y = 6 - 35/6. Let q = -3 - -4. What is the biggest value in y, q, 2? 2 Let a = -13.4 - -13. Let d = -308 + 160. Let q = 1039/7 + d. What is the biggest value in a, q, 0.4? q Let k = 0.3 - -1. Let h = k + 0.9. Let g = -0.2 + h. Which is the third smallest value? (a) -0.1 (b) g (c) -3 b Let z = 10 - 11. Which is the biggest value? (a) 2 (b) z (c) 0.5 a Let z = 3.6 - 3.6. What is the third biggest value in z, -1, 8? -1 Let k(i) = i**3 + 2*i**2 - i - 4. Let t be k(-3). Let v be 86/4 - 5/t. Let n = 133/6 - v. What is the second smallest value in n, 4, -1/4? n Let u = -0.57 - -0.07. What is the second smallest value in u, 5, 0.2? 0.2 Let a = -86 - -85.7. What is the second smallest value in a, -4, 2/13? a Let j = -5.8 + 0.8. Let n = 4 + 1. Let k = n + j. What is the biggest value in k, 1/4, 3? 3 Let s = -0.02 + 3.02. Let d = 2.5 - s. Let w = -0.6 - -4.6. What is the second smallest value in d, 2/7, w? 2/7 Let l = 77 + -76.8. Which is the biggest value? (a) -5 (b) l (c) -19 b Let q = 38 - 33. What is the second smallest value in q, -3, -5, -13? -5 Let i = 2.83 + 0.17. What is the second biggest value in -3/4, -2/9, i? -2/9 Suppose -v + w = -2*v - 7, 0 = -v + 5*w + 11. Let f be 2*(6 - (0 - -4)). Which is the third biggest value? (a) -0.2 (b) f (c) v c Let t(f) = f**2 + 7*f - 13. Let k be t(-9). What is the second smallest value in k, -0.2, -5? -0.2 Let l be ((-2*1)/(4/(-1)))/1. Which is the third smallest value? (a) l (b) 0.2 (c) -2/9 a Let z = 9 + -4. Let u = 0 - z. Which is the third biggest value? (a) 2/9 (b) u (c) 4 b Let b be 2/3 - 2/9. What is the biggest value in b, 1/7, 1? 1 Let n = -0.03 + -0.67. Let a = n + 0.2. Let o be (-12)/(-9)*3/10. What is the third smallest value in 0.5, a, o? 0.5 Let i = 1 - -1. Let j be (-2)/(-12) - (-11561)/(-462). Let h = j - -25. Which is the smallest value? (a) 0.3 (b) i (c) h c Suppose 4*r - 4*m = -12, -5*r + 2*m - 3*m = 27. Which is the smallest value? (a) 2/7 (b) r (c) -1 b Let w be (-30)/(-12)*(-1 + 2)/10. Let h = 2 + 1. What is the smallest value in w, h, -5? -5 Let x = 30 + -27. Let f = 308/5 + -61. What is the biggest value in x, f, -4? x Let t(r) = -5*r + 26. Let s be t(6). Let n = -0.2 + 0.3. Which is the smallest value? (a) 3 (b) s (c) n b Let l = -2.05 - -1. Let f = -0.05 - l. What is the second biggest value in 0.3, f, 4? f Let t(i) = -i**3 - 12*i**2 + 28*i + 3. Let x be t(-14). Which is the smallest value? (a) -5 (b) x (c) 2/15 a Let l be (-6)/4*(-16)/84. Let s = -0.6 + 4.6. Let z = -1 + s. What is the second smallest value in z, -4/7, l? l Let s = 18.97 + -19. Which is the third biggest value? (a) -1/8 (b) s (c) 0.5 a Let i = 113/176 - 19/16. Suppose -3*f - d + 5*d - 7 = 0, -3*d = 2*f - 18. What is the smallest value in i, f, -2? -2 Let f be (-2)/11 - 360/(-165). Which is the third smallest value? (a) f (b) 2/3 (c) 1 a Let y = -0.65 + -3.35. What is the second biggest value in -0.5, y, -0.04, 0? -0.04 Let g be -1 + 1 + (1 - -1). Which is the third biggest value? (a) g (b) -2 (c) -0.6 b Let s = 0 - 4. Let h = -1.2 - -2. Let z = 0.3 - h. Which is the biggest value? (a) z (b) 1/3 (c) s b Let p = -13 - -23. Suppose -4*r + 2 = p. What is the smallest value in 2, 3, r? r Let d = -2630/7 - -375. Let m = 79/91 + d. What is the second smallest value in m, -4, -6/11? -6/11 Let h = 1 - 0.8. Let o be 7/(28/(-8)) - -3. Let y be o/(68/20 - 4). What is the third smallest value in y, h, -0.5? h Let c = 71.2 + -71. What is the biggest value in -0.5, 0, c, -2? c Let y = 16 - 36. Let w = y - -33. Let t = w - 8. Which is the second biggest value? (a) -4 (b) 0 (c) t b Let r = -0.3 + -1.7. Let o be (-10)/55 - (-60)/209. Which is the smallest value? (a) o (b) -5 (c) r b Let g = 3.83 - 0.43. Let y = g + -1.4. What is the third smallest value in y, 0.4, -2/5? y Suppose 0 = -4*x - 0*x. Which is the third smallest value? (a) x (b) 4 (c) -3 b Let b = -2.7 + 2.8. What is the smallest value in -2, -4, b? -4 Suppose -5*t + 3*i - 27 = -2*t, -i + 14 = -2*t. What is the biggest value in t, 0.4, 0.05, 5? 5 Let s = 107 - 537/5. Which is the smallest value? (a) -1 (b) s (c) 0.5 a Let b = 3.98 - -0.02. Suppose 3 = 2*v + v, 5 = 2*k + 5*v. Suppose g - r - 7 = k, 0*g + 3*g = -5*r + 5. What is the third smallest value in -0.5, g, b? g Let b = 83/20 - 22/5. Let i = 8 - 12. What is the biggest value in i, 0.5, b? 0.5 Let f = 14/85 + 4/17. Which is the third smallest value? (a) -5 (b) 0.3 (c) f c Suppose -s - 2*s + 24 = 0. Let v be 3/(-4)*s/36. Which is the biggest value? (a) -1 (b) v (c) 0.3 c Let p = 1.04 - 0.94. Let n(h) = h - 1. Let a be n(1). Suppose -4*k - 4 = -a*k. What is the third smallest value in 2, p, k? 2 Let j = -290 + 3768/13. Which is the biggest value? (a) -2/11 (b) j (c) -12 b Let l = 1.6 - 2.2. Which is the second smallest value? (a) 2/5 (b) l (c) -0.3 c Let g = 6.9 + -9.9. Which is the smallest value? (a) -0.5 (b) -4 (c) g (d) 0 b Suppose 0 = -4*t + 24 + 40. Suppose 4*k - h - t = 0, -2*k + 4*h - 3 = 3. Let b be 0 + 0 + 2/3. What is the third smallest value in b, -1/7, k? k Let u = 10.7 + -10.74. Which is the biggest value? (a) 8 (b) 5 (c) u a Let p be 1 - 4 - 12/(-6). Let v = 4.3 + -4. Which is the third biggest value? (a) p (b) 4 (c) v a Let l = -73 - -56. What is the second smallest value in l, -0.4, 3/5, -0.2? -0.4 Let u = 12.5 - 13. Let v be (4/(-24))/(1/(-9)). Which is the third smallest value? (a) 1/5 (b) u (c) v c Suppose 0*x - 14*x = 56. What is the second smallest value in x, -2, -2/5, -0.5? -2 Let l = 0.44 + -0.14. What is the third biggest value in 5, l, 1/7? 1/7 Let k be (-2)/(-3) + (0 - 0). Suppose -5*r - 9 = 6. Which is the third smallest value? (a) r (b) 3 (c) k b Let y = -59.7 + 60. Which is the fourth biggest value? (a) 0.1 (b) -5/6 (c) y (d) -0.5 b Let u = -1.77 - -1.77. What is the second smallest value in u, 4/5, -0.07? u Suppose 0 = 2*p - 4*p + 8. Which is the biggest value? (a) -1/6 (b) p (c) 2/11 b Let m = -4/27 - -151/108. What is the third biggest value in m, 4/5, -0.4? -0.4 Let a = -1 - -2/5. Let j = 0 + 3.8. Let d = j - 4. What is the smallest value in d, a, -1? -1 Let c = 5.6 - 6. Let g = 7 + -15. Let l be (-4)/50*(-10)/g. What is the third biggest value in l, 0.2, c? c Let k = -29 + 28.7. Which is the second smallest value? (a) -3 (b) -1/5 (c) k c Let t = 1 + -1.5. Let y = -27 + 134/5. Let k be (-2)/5 + ((-455)/(-75) - 6). Which is the third smallest value? (a) k (b) t (c) y c Let o = 9/20 - 6/5. Let n = -0.1 + -0.9. Let d = 0 - n. What is the second biggest value in o, d, -2? o Let w = 286 - 631/2. Let y = w + 28. Which is the third smallest value? (a) -0.1 (b) y (c) -2 a Let r = 0 + -0.01. Let h = r + -1.99. Let f = -35 - -34.6. Which is the smallest value? (a) f (b) 3 (c) h c Let w = -0.7 - -0.3. Let h be (8/(-10))/((-12)/(-20)). Which is the smallest value? (a) w (b) 1/3 (c) h c Suppose 3*u = -0 - 9. Let o = 0.07 + 4.93. What is the second biggest value in -4, o, u? u Let i = -9/2 + 13/6. Let m = 2 + i. Which is the biggest value? (a) 1 (b) 3/4 (c) m a Let s = 0.19 - 0.09. Let n = -0.28 - 0.02. Let u = n + 1.3. What is the third smallest value in u, 0.3, s? u Let l = 0.07 + -0.57. Let o = -2.3 + 2. Which is the smallest value? (a) o (b) l (c) 4/7 b Let c be 12747/(-5810) - (-1 - 0). Let f = 1/166 - c. What is the third smallest value in -2, f, -1/2? f Let x = -0.32 - 0.08. Which is the biggest value? (a) 4 (b) x (c)
{ "pile_set_name": "DM Mathematics" }
- 34. Let s(b) = 2*g(b) + 3*v(b). Let p be s(0). Let f = -22 - p. Is 8 a factor of f? False Let w(a) = -2*a**2 + 2*a. Let x be w(2). Does 15 divide 1/x - (-122)/8? True Let u(m) = m**3 - 2*m**2 + 5*m - 4. Let v(j) = -j**2 - 14*j - 9. Let o be v(-13). Is 8 a factor of u(o)? True Let g = 8 + 1. Let m(i) = 2 + 3 - 14 + 2*i. Does 6 divide m(g)? False Suppose -5*t = s, -2*s - 2*t = s. Suppose 3*x - z - 20 = s, -x + 3*x - 4*z = 0. Is x a multiple of 7? False Let s be -2*4 - (0 + -3). Let a = s + 49. Does 22 divide a? True Let g be -4 + 1 + -3 + 3. Let i be 29 + 1*g/3. Suppose -i + 124 = 4*a. Is 8 a factor of a? True Suppose 0*k = k - 4*z - 114, -3*z = 4*k - 380. Is 14 a factor of k? True Suppose b = -3*q + 256, -3*q - 4*b + 422 = 2*q. Let u = q - 50. Is u a multiple of 18? True Suppose 2*u = -2*u - m + 55, -62 = -5*u + m. Let t = 0 + u. Is t a multiple of 5? False Let s(x) = x - 8. Let p be s(11). Is (-92)/(-1 + (-3)/p) a multiple of 17? False Let m = 1 + 1. Suppose -6 = -2*y + m. Is y a multiple of 2? True Let b be 2*-1 + (-3 - -2). Let j be (-23)/(b + 10/4). Let a = j + -27. Is a a multiple of 5? False Let p = 175 + -8. Suppose -q = -5*o + p, 0 = -0*o + o + 5*q - 23. Is 21 a factor of o? False Let l = 4 - 2. Is 10 a factor of (1 + 0)*31 - l? False Let t(z) = z**3 - 6*z**2 + 5*z - 8. Does 6 divide t(6)? False Suppose 0 = 5*z - 92 - 18. Let j(p) = 3 - 5 + 3 + z*p. Is 9 a factor of j(1)? False Let m be (-2)/((-3)/3)*1. Suppose -m*u = -4*u + 84. Suppose -k = 3*s - u, -2*s - s - 4*k = -33. Is s a multiple of 11? False Suppose 55 + 11 = b. Does 11 divide b? True Let y = 103 - 172. Let o be ((-70)/(-6))/(4/(-12)). Let u = o - y. Does 12 divide u? False Suppose 0 = -3*c - 0*c + 84. Is 14 a factor of c? True Suppose j + 3 = -1. Let y be (-1)/1 + j + 2. Is 5 a factor of (-2)/(-2) - y*3? True Let k = 11 + 21. Let o be -16 + 0 + -2*1. Let h = o + k. Is 5 a factor of h? False Let l(x) = x**2 - 8*x + 9. Does 18 divide l(9)? True Let h(w) = w**3 - 8*w**2 - 2*w + 6. Let g be h(4). Is 23 a factor of (-2)/2 + (4 - g)? True Suppose -2*h + 5*h + 3*c = 903, 0 = -3*h - 2*c + 902. Suppose -35 = -5*u + h. Does 20 divide u? False Let s(f) = 2*f**2 + 7*f - 7. Let z be s(7). Let j = z - 650. Is 8 a factor of 2/(-7) + j/(-21)? True Let g(n) = -n**2 - 8*n - 5. Let d be g(-7). Does 12 divide 3 - (d*-10 - 1)? True Suppose -5*k + 5*i = -4*k - 63, -4*k + 5*i + 177 = 0. Let s = k + -23. Does 5 divide s? True Let h(s) = s**3 - 32*s**2 - 25*s + 9. Does 11 divide h(33)? False Suppose 0 = 3*f - 3*t - 279, -2*t = -f - 2*f + 282. Does 6 divide f? True Let j(r) = 2*r**2 + 6. Let t be j(0). Is 4 a factor of 1/t + 213/18? True Suppose -15*l = -20*l + 95. Is 19 a factor of l? True Let v(x) = -3*x**2 + 38*x + 6. Is v(10) a multiple of 43? True Let p(x) = -3*x - 17. Let m be p(-6). Suppose m = -2*o + 17. Is 4 a factor of o? True Let k(h) = -h**2 - 7*h - 7. Let d be k(-5). Suppose 34 = d*i - 2. Suppose -4*z + i = -z. Does 2 divide z? True Is 8 a factor of 681/12 - (-1 + (-3)/(-4))? False Suppose c - 4*c = -27. Suppose -5*j - c = 1. Does 7 divide j/(-5) + (-196)/(-10)? False Suppose -120 - 240 = -4*h. Suppose 5*n - h = 3*n. Is n a multiple of 24? False Let c = -16 - -11. Let j(s) = 3*s**2 + 6*s + 3. Does 24 divide j(c)? True Let j(r) = 3*r**2 - 3*r. Let i be j(2). Suppose -n + 6 + i = 0. Does 12 divide n? True Let o = 2 + 5. Suppose 2*p - 24 = 4*s, -s - o = -4*p + 13. Is p even? True Suppose 3*g = -4*k + 21, 2 = -2*k - g + 15. Does 9 divide k? True Suppose 4*h - 22 = -6. Suppose -h*n + 0*n = -292. Does 20 divide n? False Let s = -19 + 22. Suppose 5*t + 38 - 253 = 5*a, 0 = s*a + 9. Is t a multiple of 23? False Let i = -43 - 6. Let k = i + 70. Suppose 85 = 4*f + k. Does 16 divide f? True Let o(n) = 2*n**2 + 6*n - 4. Is 11 a factor of o(-7)? False Let s(z) = z**3 + z**2 - 3. Is s(2) even? False Let m be (9 + -3)*1/1. Suppose -5*o + 15 = -5*i, -21 = o + 5*i + m. Is (-2)/(8/10)*o even? False Let x = 5 - 1. Suppose -o - 2*o + 67 = 5*y, -o - x*y = -20. Is o a multiple of 7? False Suppose -4*c = -4*x - 48, -c + 4*c - 5*x - 46 = 0. Is 5 a factor of c? False Suppose -3*p + 12 = -0. Does 13 divide (-6 + p)/((-1)/8)? False Let j(u) be the second derivative of -7*u**3/6 - u**2/2 - 3*u. Is j(-6) a multiple of 16? False Suppose 0 = -5*v + 14 + 11. Suppose v*j + d = 5*d + 135, 3*j - 81 = -2*d. Is 27 a factor of j? True Suppose 0*x - 2*x + 112 = 0. Does 14 divide x? True Let w(t) = -t**2 - t + 5. Let j be (-4 + 4)*2/(-4). Does 5 divide w(j)? True Let i = 5 - 3. Let d = i - 0. Suppose -d*y + 42 = -0*y. Does 13 divide y? False Does 14 divide 5/(1 + 4)*56? True Suppose -56 = 7*o - 203. Does 7 divide o? True Let p(c) = 3*c**2 - 3. Let s be p(3). Let x = 0 + 3. Suppose 3*t = -l + 14, 4*t + l - s = -x*l. Is 4 a factor of t? True Suppose -b + 149 = -5*i, 4*b - 44 - 42 = 3*i. Is 4 a factor of (-4)/(8/i) - -1? True Suppose -4*t + 3*m = -1991, 5*t - 1255 = 2*m + 1225. Suppose -5*c - 49 = -t. Suppose 4*s - 2*j + j - c = 0, -3*j = 4*s - 85. Is s a multiple of 10? False Let p(s) = 7*s + s**3 - 1 - 6*s**3 - 32*s**2 + 4*s**3 + 37*s**2. Is p(6) even? False Suppose g + 3*p - 31 = 0, 7*p - 2*p - 5 = 0. Does 8 divide g? False Let x(b) = b + 2. Let z be x(-1). Suppose 2*y - 89 = 2*j - z, 0 = -3*j - 6. Is y a multiple of 14? True Let m = -1 + -11. Let j = m - -17. Does 2 divide j? False Suppose 5*y - 19 = 131. Is y a multiple of 10? True Suppose -2*x - x = -855. Let a(q) = -q**3 - 5*q**2 - 2*q - 4. Let k be a(-4). Is 13 a factor of 1/4 - x/k? False Let l = 64 + -45. Suppose 3*y = 2*y + l. Does 6 divide y? False Suppose -52 = -9*q + 2. Does 6 divide q? True Suppose -14*g + 612 = -10*g. Is 51 a factor of g? True Suppose -2*a - 106 = -3*v + v, -5*a - 159 = -3*v. Is 9 a factor of v? False Is (-8 - -4) + -3 + 52 a multiple of 18? False Suppose 3*n + k - 754 = 0, k + 0 = -2. Does 19 divide n? False Let h = 46 + -26. Suppose 4*o + 0 = h. Suppose -o*g + 2*t = -t - 123, -16 = -4*t. Does 16 divide g? False Suppose 0 = -5*h - 3*a + 22, a = 2*h - 3*a + 12. Suppose -d + 93 = h*d. Does 7 divide d? False Let n(x) = x**2 - 5 - 4*x + 4 + x + 0*x. Is 17 a factor of n(6)? True Suppose -q - 2*k + 16 = -9, 4*k = 5*q - 167. Suppose -4*a + q + 40 = c, c - 53 = -3*a. Is 9 a factor of a? True Suppose 224 = 4*r + 2*p - 890, -537 = -2*r + 3*p. Suppose 0 = 3*v + 3*f - r, 6*f + 184 = 2*v + f. Is 24 a factor of v? False Suppose -2*s = -4*s + 248. Suppose 0*f = -4*f + s. Does 9 divide f? False Let k = -36 - -73. Let q = 12 - k. Let l = 20 - q. Is l a multiple of 15? True Suppose h = 6 + 3. Let t = 55 - h. Is t a multiple of 13? False Let y = -68 + 67. Let v(j) = 3*j - j + 1 + 0 - 25*j**3. Does 12 divide v(y)? True Let q be (-15)/(-10)*(-124)/(-3). Suppose -5*u + 2*r - q = 0, -u + 0*u + 3*r - 2 = 0. Does 3 divide u/((2 - 2) + -2)? False Let d = -13 - -23. Does 5 divide d? True Let b be 5*-1*1/(-1). Suppose -4*i + 3*a + 46 = 0, 0 = -b*i + 3*i - 5*a + 10. Does 4 divide i? False Let w be 3/6*0/(-2). Suppose 2*k - 3*a - 37 = w, 4*a = -k - a + 25. Does 10 divide k? True Let w(g) = g - 1. Let m be w(6). Suppose 2 + 3 = m*r. Suppose -5*u + 113 = -4*p + r, -2*p - 44 = -2*u. Is 12 a factor of u? True Let w be ((-6)/(-4))/(12/40). Suppose w*r - 315 = -0*r. Is r a multiple of 18? False Let f(i) = -3*i**3 - 6*i**2 - 12*i - 10. Is f(-4) a multiple of 22? False Let f be (-6 + 3)*(0 + 1). Let l(r) = -5*r - 3. Does 12 divide l(f)? True Let r = 3 + 2. Suppose g + r*c = 2*g - 8, 2*c + 2 = 0. Let i = g + 19. Does 11 divide i? True Let b(u) = 7*u + 32. Is b(18) a multiple of 11? False Suppose -7*q = 37 - 205. Is 24 a factor of q? True Let z(l) be the first derivative of 1/2*l**2 - 3*l + 1. Is 3 a factor of z(7)? False Let r = -373 - -641. Is 14 a factor of r? False Let u = 24 + -16. Suppose 0*s = -4*s + u. Suppose -3*l = -3*v - 2*v - 25, s*v = 4*l - 52. Is 8 a factor of l? False Let k = -12 + 51. Suppose 4*i + 117 = -5*v, 5*v + 0*v = 2*i + 51. Let t = i + k. Is 11 a factor of t? True Let w be (-18)/(-10) + (-1)/(-5). Suppose 19 + 29 = 3*v - 5*a, v - 27 = -w*a. Is 162/v - (-4)/14 a multiple of 6? False Let g be (-4)/(-12) - 28/(-6). Suppose 3*c + 0 + 10 = 2*u, 0 = 3*u + g*c - 15. Suppose -2*t = -4*p - 20, t + p - 11 = u. Does 7 divide t? True Let c be -4 + -3 + -34 + 3. Suppose
{ "pile_set_name": "DM Mathematics" }
tors of 1943369321? 1943369321 List the prime factors of 457307166. 2, 3, 71, 1073491 List the prime factors of 50035391. 7, 7147913 List the prime factors of 370631363. 3767, 98389 What are the prime factors of 23316136? 2, 47, 62011 List the prime factors of 49602654. 2, 3, 19, 145037 List the prime factors of 5825144964. 2, 3, 485428747 List the prime factors of 444212404. 2, 151, 735451 List the prime factors of 3676799. 7, 525257 What are the prime factors of 236245656? 2, 3, 9843569 List the prime factors of 365097166. 2, 7, 241, 449 List the prime factors of 67813382. 2, 7, 13, 239, 1559 What are the prime factors of 3732051? 3, 101, 109, 113 What are the prime factors of 1849407763? 7, 313, 844093 List the prime factors of 99086631. 3, 7, 61, 77351 What are the prime factors of 2438015380? 2, 5, 2927, 41647 List the prime factors of 114523472. 2, 7, 1022531 List the prime factors of 144350061. 3, 37, 1300451 List the prime factors of 50627972. 2, 17, 257, 2897 What are the prime factors of 16682998? 2, 8341499 List the prime factors of 130427242. 2, 11, 1933, 3067 List the prime factors of 146509665. 3, 5, 19, 439, 1171 What are the prime factors of 854365087? 3137, 272351 What are the prime factors of 1103799315? 3, 5, 73586621 List the prime factors of 426722853. 3, 859, 165589 List the prime factors of 289627786. 2, 7, 37, 373, 1499 What are the prime factors of 4255088622? 2, 3, 709181437 What are the prime factors of 65318449? 7, 137, 68111 List the prime factors of 785373549. 3, 193, 1356431 What are the prime factors of 2415687988? 2, 7, 1229, 70199 List the prime factors of 48466606. 2, 19, 1275437 What are the prime factors of 344288402? 2, 10889, 15809 List the prime factors of 368774052. 2, 3, 30731171 What are the prime factors of 182161734? 2, 3, 173, 175493 List the prime factors of 3910946422. 2, 31, 47, 733, 1831 What are the prime factors of 3972437719? 17, 29, 8057683 What are the prime factors of 569724504? 2, 3, 1613, 14717 What are the prime factors of 424176793? 73, 773, 7517 List the prime factors of 191680695. 3, 5, 17 What are the prime factors of 5745431? 5745431 What are the prime factors of 2713938? 2, 3, 383, 1181 List the prime factors of 1817216907. 3, 11, 3701, 14879 What are the prime factors of 77653973? 77653973 List the prime factors of 395114564. 2, 13, 37, 15797 List the prime factors of 2319771376. 2, 13, 283, 39409 List the prime factors of 5791549. 5791549 List the prime factors of 159748973. 101, 1581673 What are the prime factors of 626773569? 3, 208924523 List the prime factors of 1154802735. 3, 5, 1549, 16567 List the prime factors of 788559754. 2, 97, 4064741 List the prime factors of 46154932. 2, 17, 678749 What are the prime factors of 591812931? 3, 19, 23, 1033 List the prime factors of 905157366. 2, 3, 3343, 45127 What are the prime factors of 4416233670? 2, 3, 5, 1453, 11257 List the prime factors of 223575947. 7, 71, 449851 List the prime factors of 308558463. 3, 29, 1607, 2207 List the prime factors of 86675089. 3533, 24533 What are the prime factors of 276405550? 2, 5, 17, 433, 751 List the prime factors of 582417033. 3, 11, 17649001 List the prime factors of 273078907. 31, 37, 238081 What are the prime factors of 1982081118? 2, 3, 103, 3207251 What are the prime factors of 41662793? 41662793 What are the prime factors of 153364962? 2, 3, 109, 151, 1553 List the prime factors of 24767511. 3, 8255837 What are the prime factors of 20731189? 20731189 List the prime factors of 57822642. 2, 3, 277, 11597 List the prime factors of 567399436. 2, 141849859 List the prime factors of 230637868. 2, 239, 241253 List the prime factors of 72168754. 2, 7, 5154911 What are the prime factors of 2115074681? 16741, 126341 List the prime factors of 144975728. 2, 17, 532999 What are the prime factors of 8516479? 41, 207719 What are the prime factors of 2142111118? 2, 7, 23, 163, 40813 What are the prime factors of 889743629? 889743629 List the prime factors of 137891736. 2, 3, 1915163 What are the prime factors of 8860998? 2, 3, 919, 1607 List the prime factors of 138844859. 23, 1531, 3943 List the prime factors of 376983897. 3, 125661299 What are the prime factors of 119031192? 2, 3, 7, 33739 What are the prime factors of 22952234? 2, 2957, 3881 What are the prime factors of 1450523867? 13, 111578759 What are the prime factors of 181821618? 2, 3, 11, 27827 List the prime factors of 1295422645. 5, 11, 79, 281, 1061 List the prime factors of 1722600648. 2, 3, 19, 421, 997 List the prime factors of 720288841. 19, 6053, 6263 What are the prime factors of 575855715? 3, 5, 23, 1669147 What are the prime factors of 5605817168? 2, 7, 41, 73, 2389 What are the prime factors of 1546493958? 2, 3, 37, 59, 4373 What are the prime factors of 81166527? 3, 13, 693731 What are the prime factors of 1718789844? 2, 3, 9689, 14783 What are the prime factors of 845525143? 845525143 What are the prime factors of 164320174? 2, 82160087 What are the prime factors of 143573179? 577, 248827 List the prime factors of 119061327. 3, 7, 11, 29, 2539 What are the prime factors of 334615200? 2, 3, 5, 139423 List the prime factors of 1780759188. 2, 3, 13, 359, 3533 What are the prime factors of 40403288? 2, 17, 297083 List the prime factors of 336082162. 2, 13, 883, 14639 What are the prime factors of 282945941? 16811, 16831 List the prime factors of 8468250. 2, 3, 5, 7, 1613 List the prime factors of 228497856. 2, 3, 97, 12269 List the prime factors of 6632647851. 3, 19, 227, 512609 What are the prime factors of 2123534148? 2, 3, 176961179 What are the prime factors of 1153732684? 2, 13, 22187167 What are the prime factors of 529272693? 3, 58808077 What are the prime factors of 96694122? 2, 3, 7, 971, 2371 List the prime factors of 1065913117. 67, 15909151 List the prime factors of 5042685. 3, 5, 53, 6343 List the prime factors of 652999732. 2, 7, 11, 97, 1987 What are the prime factors of 2372760369? 3, 7, 5380409 What are the prime factors of 892449409? 701, 1273109 List the prime factors of 9692478. 2, 3, 538471 List the prime factors of 640342648. 2, 11, 271, 2441 What are the prime factors of 571909620? 2, 3, 5, 9531827 What are the prime factors of 4159440925? 5, 71, 431, 5437 What are the prime factors of 4316552460? 2, 3, 5, 11, 37, 58921 What are the prime factors of 1740811479? 3, 11, 31, 127, 13399 List the prime factors of 348137396. 2, 41, 857, 2477 What are the prime factors of 669471715? 5, 11, 107, 113759 List the prime factors of 84215384. 2, 11, 956993 List the prime factors of 27117081. 3, 1123, 2683 What are the prime factors of 26213301? 3, 109, 2969 What are the prime factors of 52609545? 3, 5, 541, 2161 List the prime factors of 3280681497. 3, 9539, 114641 What are the prime factors of 84970612? 2, 199, 106747 What are the prime factors of 864958206? 2, 3, 7, 20594243 List the prime factors of 70061619. 3, 1327, 17599 List the prime factors of 23601052. 2, 5900263 List the prime factors of 379225149. 3, 1487, 85009 What are the prime factors of 3448875939? 3, 443, 1279, 2029 List the prime factors of 41165582. 2, 31, 663961 List the prime factors of 213901169. 73, 2930153 List the prime factors of 7293913. 11, 53, 12511 What are the prime factors of 2423297864? 2, 13, 211, 110431 List the prime factors of 9279199657. 7, 13, 101969227 What are the prime factors of 1938652242? 2, 3, 16187, 19961 List the prime factors of 238194393. 3, 19, 4178849 List the prime factors of 79995151. 83, 379, 2543 List the prime factors of 209460460. 2, 5, 11, 83, 11471 List the prime factors of 525631405. 5, 13, 622049 List the prime factors of 78681617. 7, 677, 16603 What are the prime factors of 266814505? 5, 97, 367, 1499 What are the prime factors of 6702119036? 2, 1675529759 List the prime factors of 1761498710. 2, 5, 176149871 List the prime factors of 965054842. 2, 482527421 List the prime factors of 225147958. 2, 7, 71, 83, 2729 What are the prime factors of 138432204? 2, 3, 1039, 3701 What are the prime factors of 1235219158? 2, 3169, 194891 List the prime factors of 1093553067. 3, 17, 73, 293729 What are the prime factors of 22437737? 7, 457913 List the prime factors of 92440433. 59, 179, 8753 What are the prime fact
{ "pile_set_name": "DM Mathematics" }
for p. 4 Suppose 3*y - 2*y + 9 = 0. Let m = y - -14. Solve 2*d = n + 3*n + 18, 0 = 3*d + m*n - 5 for d. 5 Suppose u = -u + 22. Let j = u + -6. Solve -j = 4*m + 11, 0 = -4*b + 4*m - 4 for b. -5 Suppose 1 = y - 4. Solve -2*k = 2*i - 3*i + 2, 0 = -y*i + 10 for k. 0 Let f be 1 + (-3 - -1) - -4. Solve -7 + f = 2*x + y, 5*x + 2*y = -10 for x. -2 Let g be (-5)/((-15)/18) + 0. Let j = -3 + g. Solve -3*n - 19 = -5*n - j*p, 3 = p for n. 5 Let a(m) = m**2 + 7*m + 8. Let i be a(-6). Let j = i - -2. Suppose 0 = -j*s, 25 = 5*g + 6*s - 4*s. Solve 13 + 1 = 3*q + 4*d, -5*d + 35 = -g*q for q. -2 Let u be -1*9/((-36)/8). Solve 0 = -w + u*f + f - 6, 5*f = -2*w + 10 for w. 0 Let b = -8 - -10. Suppose -12 = b*s - 5*s. Solve -5*g = -10, s*g - 2 = -2*t + 10 for t. 2 Let b = -56 + 61. Solve 0 = 4*x - 0*x - 5*s + 30, -b*x + 2*s = 29 for x. -5 Let b(o) = -o**3 + o - 2. Let h be b(-2). Let l be (4 + -2)*h/8. Suppose 0 = -4*m + 4 + 36. Solve 3*d - j = l + m, 3*d - 3*j = 21 for d. 2 Suppose 5*i = i - 4. Let k = 1 + i. Suppose -3*o + c = -3, -2*o + 0*o - 4*c + 16 = k. Solve 0 = -4*h - h + 15, 0 = -o*n - h + 11 for n. 4 Let u = 53 + -102. Let p = -32 - u. Let o be 2 - (-1 + 1 - 3). Solve 0 = o*f - 3*s - p, -2*f - 5*s = 3*f - 25 for f. 4 Suppose 0 = 2*h - 4*h + 4. Let x = -8 - -11. Suppose -5*t = x*u - 4, 9 + 0 = h*u - 3*t. Solve d + 2*k = 3, 0 = -5*d + u*d + 3*k - 1 for d. 1 Let x(a) = a**3 - 3*a**2 + 2*a. Let w be x(3). Let k = w - 4. Solve 5*p = l - 5, p = l - p - k for l. 0 Let h be (10 - 5) + -2 + -1. Solve 18 = 4*f + n, -n + 4*n - 14 = -h*f for f. 4 Suppose 0*o - 5*p = 3*o + 9, 4*o = 4*p + 20. Solve 4*k + 5*n = -35, -3*k + o*k + 4*n = -7 for k. -5 Let d = 0 + 1. Let w = d + 0. Suppose -3*y - 5*v - w = 0, -2*v + 5*v = 5*y - 21. Solve -4*h - 2*l + 4 = 0, 5*l - y*l = h + 4 for h. 0 Let w = 12 - 18. Let d be ((-18)/(-5))/(w/(-20)). Let i be 20/6 + (-2)/(-3). Solve 0 = 4*l + u - 10, i*l - 5*u = 5*l - d for l. 2 Let w = 10 - -10. Suppose 5*k + 4*g - 47 = -w, -5*k - 5*g = -30. Solve -a = -4*m + 17, -3*m = k*a - a - 10 for m. 4 Suppose v + 0 + 12 = 3*q, v = -4*q + 16. Let l(u) = u - 7. Let y be l(9). Let a be (-16)/(-1) + q/y. Solve -w + s - 12 = 2*w, -s = 3*w + a for w. -5 Let i(r) = r**2 + 6*r - 3. Let c be i(-6). Let o = c - -6. Suppose 0 = -3*l - 5*a + 53, 0 = -3*l - o*a + 8 + 55. Solve 0 = 2*x + 1 + 9, 4*x + l = 3*b for b. 2 Let x be (-3)/(-1 + 4)*1. Let k be 1 - x - (0 - 13). Solve -2 = 2*o, -5*j + 5*o + k + 10 = 0 for j. 4 Let z be 44/16 + (-1)/(-4). Let b(h) = 5*h**2 - h. Let s be b(1). Solve -2*g - j = 2*j - s, 10 = 5*g - z*j for g. 2 Let z(n) = -n**3 - 6*n**2 + 14*n + 5. Let p(h) = -h + 1. Let t(x) = -5*p(x) - z(x). Let c be t(-7). Solve -q + 7 = -5*l + q, l - c*q = 13 for l. -3 Suppose -2*j - 2*p + 4 = -2, 0 = 3*p. Solve x - j = -2*d + 4, 5*x = 5 for d. 3 Let g = -58 + 89. Suppose -5*c = 25, 3*l - 3*c - g = -l. Solve -5*k = 4*n - 21, -l*n = k - 0*k - 17 for n. 4 Let p(c) = 19*c - 18. Let x be p(2). Solve x = 3*m + 5*a, -3*a + 7 + 11 = 3*m for m. 5 Suppose 3*o - 7*o = 4*h + 92, 0 = 2*o + 10. Let k be (h/15)/(9/(-30)). Suppose -4 - 4 = -k*f. Solve f = 2*l - 3*l - p, -5*p = -5 for l. -3 Let h = -11 - -10. Let b be (-20 + h)/(27/(-18)). Solve 2*t + 0*t - 2 = 4*i, 3*i + b = -t for i. -3 Suppose 2 = w - 0. Solve 5*h - 1 = -4*i + i, 3*i - 8 = w*h for h. -1 Let v(r) = -r**3 - 8*r**2 - 7*r + 3. Let s be v(-7). Solve 2*p - s*y = 3*p - 8, 18 = 3*p + 3*y for p. 5 Suppose -5*c = -2*a + 10, 0*c + 4*c - 5*a = -25. Solve -3*v + 1 = -2*j - c*v, 0 = -2*v - 2 for j. -2 Suppose -5*r = -3*r - 4. Solve -4*n + r*q + 20 = -2*q, q + 5 = 0 for n. 0 Suppose 2*j - 17 = -5*c, -2*c = j - 11 + 4. Solve u + 2 = 3*k, u + 2 = -k - c*k for u. -2 Suppose 5*w - w - 12 = 0. Suppose -4*t + 2*r = -10, -w*t + 5*r + 25 = -6*t. Let a be 5/(t - 3 - -4). Solve 4 = -3*y + a*c, 3*y + 2*c + 2*c = 14 for y. 2 Suppose -5*d = 4*t - 9, 1 = 2*d - 1. Let m(p) = p**2 + 3*p - 7. Let r be m(-5). Solve 6*u - x - t = 5*u, -4*x - 11 = r*u for u. -1 Let g = -18 - -23. Suppose k + k = 0. Solve -3*w = b - g*b - 7, k = 4*w - 2*b - 6 for w. 1 Suppose -w + 0 + 2 = 0. Suppose 4*c - 2*c = w. Suppose 6 - 19 = -p. Solve 4*t - 25 + c = 4*u, 3*u + 2*t = -p for u. -5 Let z = -11 - -16. Solve 5*y = -l + 2*l + 16, 32 = z*y + 3*l for y. 4 Let b be 2/((-1 - -2)/(-3)). Let c be ((-4)/(-2))/(b/(-9)). Solve c*m + 3*l = -12, -3*m = -5*l + 4 - 0 for m. -3 Let h = -6 - -11. Suppose 0 = -h*j + 39 - 14. Solve 4*r + 8 = -0, 0 = -4*q - j*r + 6 for q. 4 Let u be (-38)/(-14) - 2/(-7). Let p(v) = 3*v - 4. Let f be p(6). Let j = f - 10. Solve -r = 4*i - j, -u*i = -r - 2 - 1 for i. 1 Suppose 4*w + 4*o + 4 = -0*w, -3*o = 9. Solve -w*n + 12 = -3*b, b + 0 + 4 = 3*n for b. -4 Let s = 10 + -9. Solve 4*q + s = 2*y + 3, -y = 4*q - 11 for y. 3 Suppose 10*l - 9 = 3*u + 5*l, -4*l + 10 = -u. Suppose -r + u = -b - 2*b, -4*b - 2*r = -4. Solve 4*s = b, s + 4 + 4 = 4*n for n. 2 Suppose -3*l + 8*l = -l. Solve 2*q = 5*h, l*h - 5*h - 5 = -q for q. -5 Let t = -9 + 13. Suppose 2*p + t*j - 25 = p, 4*p - j - 15 = 0. Solve -p*f = -4*l - 3, l + f - 4 = 2 for l. 3 Let s(n) = -n - 9. Let z be s(-11). Solve 6*g + 14 = 2*m + z*g, 2*g = -2 for m. 5 Let o(x) = x**2 - 2*x - 6. Let u be o(-6). Let p = u + -12. Let s be 1/4*2*0. Solve 0*j + 2*j = -5*d + 15, 5*d - j - p = s for d. 5 Suppose 5*u + x = 28, -u + 5*x - 13 = -3. Let p = -11 - -15. Solve -20 = -3*f - p*v, -2*f + u*f - 4*v + 20 = 0 for f. 0 Let q(i) = -i**3 - 2*i**2 + i - 2. Let d be q(-3). Solve 1 - 4 = 3*c, 0 = -d*h - 3*c - 7 for h. -1 Let r be (-2 + 1)*(-2 - 1). Suppose -i = -k + r - 5, -5*k = 3*i - 22. Solve 3*l + 4 = -2*j, 0 = -j - l - k + 1 for j. 1 Let c(y) = y**3 - y**2 - 4. Let n be c(2). Suppose -3*j + 31 = 4*a, -2*a - 5*j - 1 + 6 = n. Solve 5*v - 2*o + 9 = -a, -o + 12 = -3*v for v. -5 Let w(r) = r**3 - 2*r**2 - 4. Suppose -y = 4*y - 15. Let g be w(y). Solve 2*s - 3*a = -12, -23 + 3 = -2*s - g*a for s. 0 Suppose 4*i + 19 = 2*q - 3*q, 0 = -2*i - 4*q + 8. Let w be (i/4)/(9/(-30)). Solve 3*b - 7*b + w*g + 11 = 0, 0 = 2*b - g - 1 for b. -1 Let k be 1/(-4) - 6/8. Let r = 4 + k. Solve r*f - 4*n = -0*f + 3, 0 = -n + 3 for f. 5 Let q(d) = 4*d + 3. Let j be q(0). Solve -2*o - 4*z = -z + 10, -o - 5 = j*z for o. -5 Let w be (-3)/3*(0 - 0). Solve w = h + 2*s + 1 - 4, -4*h - 18 = -2*s for h. -3 Let r be 26/39 + 56/6. Solve -2*d - d + 15 = -3*b, 0 = -5*b - 2*d + r for b. 0 Let r be (-181)/(-4) + 3/(-12). Let t = r - 66. Let s = -1 - t. Solve -2*k + 2*y = 0, 3*k + 2*y + 5 = -s for k. -5 Let p be 1 - (0/(-1) + (-39)/13). Solve 0*q + 4 = 2*q + 2*z, 6 = p*q + 2*z for q. 1 Suppose 3 = 5*a - 32. Suppose -5*y + 0 = -10. Solve -a = 4*p - 5*k, -y*p - p + k - 8 = 0 for p. -3 Let i(m) = -m**2 + 7*m + 10. Let z be i(8). Solve j + 4 = 3*v + 2*j, j + z = -v for v. 3 Suppose u - 1 = -3*n - 11, 10 = u - n. Let o = u - 1. Suppose -2*l + 32 = -o*b, -b = l - 5*l + 99. Solve 2*r - 16 = 4*c, 0 = 5*r + 4*c + l - 10 for r. 0 Let y be (4*(3 + -2))/(-2). Let o be 15/5 + y + -1. Solve 0 = -3*p - 3*j, o*p = -p + 3*j + 8 for p. 2 Let p = -6 + 9. Suppose -r = p*r - 12. Solve 18 = r*l - 2*o, -5*o = 3*l - 2 + 5 for l. 4 Let r be (-1 - 0)*4/(-2). Let x be (-7 + 4)*2/(-6). Let d = x - -1. Solve 3*v + d*t = -r, -3*v - 3*t = v + 1 for v. -4 Let z be (4/(-6))/((-4)/(-18)). Let g be (-15)/z - (3 + -2). Solve 0*s = -2*h - s - 6, g*s = h + 21 for h. -5 Suppose 4*p - 8 = -4*c, -p + 45 = 5*c - 3*p. Solve z + 5*w - 5 = c, -5*z = -4*w - 2 for z. 2 Suppose -2*p = -2*n - 4, p = 5*p + 5*n - 35. Solve -3*y + 21 = -3*h, 4*h + 4 = -p*y - 6 for y. 2 Let l = 0 + -2. Let r be (l + 7)*(-18)/(-15). Suppose 5*k = 26 - r. Solve -t + 7 = k*q, -3*t + 1 = -t - 5*q for t. 3 Let c be -2 + 2 - (1 + 2). Let j be -2 - (c + 4) - -8. Solve -3*z = -j*n + 1 - 0, 4*n + 4 = 0 for z. -2 Let d be (-2)/(-3) - 20/(-6). Let w be d*(-2 - 9/(-6)). Let u be 2 + -1 - w - 0. Solve 3*y + 8 = -5*z - 6, 0 = -4*z - u*y - 10 for z. -4 Let w = 82 - 52. Solve -3*j - 8 + w = -5*u, 0 = -4*j + u + 1 for j. -1 Suppose 4*r - 2 = 6. Solve -r + 9 = -2*q + k, -q - 7 = 3*k for q. -4 Let y(f) = -25*f. Let r be y(-2). Suppose 3*s = 28 + r. Solve 0 = -5*h + 3*m + s - 6, 5*m = -3*h - 22 for h. 1 Let n(y) = 3*y - 7. Let s be n(4). Suppose 4*h + 2*z + 2 = 0, 0 = h + 2*h - 3*z - 3. Let w = s + h. Solve r - 6*r + p = w, r = 4*p + 1
{ "pile_set_name": "DM Mathematics" }
What is the r'th term of 39888, 53158, 66428, 79698? 13270*r + 26618 What is the w'th term of 2450275, 4900533, 7350791, 9801049, 12251307? 2450258*w + 17 What is the p'th term of -41893, -335152, -1131139, -2681218, -5236753, -9049108, -14369647, -21449734? -41894*p**3 - p + 2 What is the r'th term of -116055, -232069, -348069, -464055, -580027? 7*r**2 - 116035*r - 27 What is the v'th term of 30788, 61228, 91668, 122108, 152548? 30440*v + 348 What is the c'th term of 3319, 7270, 11233, 15214, 19219, 23254, 27325? c**3 + 3944*c - 626 What is the k'th term of -1063, -993, -897, -787, -675? -2*k**3 + 25*k**2 + 9*k - 1095 What is the j'th term of -13315414, -13315428, -13315452, -13315486, -13315530? -5*j**2 + j - 13315410 What is the g'th term of 80295, 160587, 240871, 321147? -4*g**2 + 80304*g - 5 What is the r'th term of -9368795, -18737590, -28106385, -37475180? -9368795*r What is the w'th term of 65431, 73622, 81801, 89962, 98099? -w**3 + 8198*w + 57234 What is the f'th term of 110240, 110263, 110304, 110369, 110464, 110595? f**3 + 3*f**2 + 7*f + 110229 What is the q'th term of 3798, 16150, 36722, 65502, 102478, 147638, 200970, 262462? -2*q**3 + 4122*q**2 - 322 What is the f'th term of -670767, -670772, -670777, -670782, -670787? -5*f - 670762 What is the l'th term of 6642861, 13285696, 19928531, 26571366, 33214201, 39857036? 6642835*l + 26 What is the r'th term of 363890, 363865, 363838, 363809, 363778, 363745? -r**2 - 22*r + 363913 What is the c'th term of -2291, -2874, -4459, -7544, -12627, -20206, -30779? -83*c**3 - 3*c**2 + 7*c - 2212 What is the s'th term of -101018229, -404072916, -909164059, -1616291658? -101018228*s**2 - 3*s + 2 What is the k'th term of 34525850, 69051695, 103577542, 138103391, 172629242, 207155095, 241680950? k**2 + 34525842*k + 7 What is the k'th term of 7684, 7752, 7878, 8062, 8304, 8604, 8962? 29*k**2 - 19*k + 7674 What is the p'th term of -4467766, -17871042, -40209834, -71484142, -111693966, -160839306, -218920162? -4467758*p**2 - 2*p - 6 What is the s'th term of 566, 1863, 4036, 7085? 438*s**2 - 17*s + 145 What is the s'th term of -2589, -5226, -7987, -10872, -13881, -17014? -62*s**2 - 2451*s - 76 What is the f'th term of -25178, -100291, -225480, -400745, -626086, -901503? -25038*f**2 + f - 141 What is the s'th term of -52753, -52794, -52837, -52882, -52929, -52978? -s**2 - 38*s - 52714 What is the p'th term of -1431, -4650, -13401, -30450, -58563, -100506, -159045? -461*p**3 + 8*p - 978 What is the j'th term of -177, -859, -2001, -3603, -5665, -8187? -230*j**2 + 8*j + 45 What is the o'th term of -488, -3735, -9144, -16715, -26448, -38343, -52400? -1081*o**2 - 4*o + 597 What is the j'th term of 74413977, 74413976, 74413975, 74413974, 74413973? -j + 74413978 What is the v'th term of 129639, 259844, 390047, 520248, 650447, 780644? -v**2 + 130208*v - 568 What is the n'th term of 310035791, 620071581, 930107371, 1240143161, 1550178951, 1860214741? 310035790*n + 1 What is the d'th term of 152570, 610334, 1373294, 2441450, 3814802, 5493350? 152598*d**2 - 30*d + 2 What is the w'th term of 2067581, 2067516, 2067451, 2067386, 2067321? -65*w + 2067646 What is the v'th term of -5772, -15181, -24590? -9409*v + 3637 What is the t'th term of 1382198, 2764390, 4146582, 5528774, 6910966, 8293158? 1382192*t + 6 What is the m'th term of 1947, 14771, 49571, 117333, 229043, 395687, 628251, 937721? 1831*m**3 + 2*m**2 + m + 113 What is the h'th term of -78223692, -78223704, -78223718, -78223734, -78223752, -78223772? -h**2 - 9*h - 78223682 What is the f'th term of -12888, -103061, -347806, -824409, -1610156? -12881*f**3 - 6*f - 1 What is the m'th term of -1720431, -1720435, -1720439, -1720443? -4*m - 1720427 What is the l'th term of -2940, -68, 2804, 5676, 8548, 11420? 2872*l - 5812 What is the d'th term of 98277337, 196554676, 294832015, 393109354, 491386693, 589664032? 98277339*d - 2 What is the n'th term of 10741, 10625, 10427, 10147, 9785, 9341? -41*n**2 + 7*n + 10775 What is the r'th term of 444, 770, 1060, 1302, 1484, 1594, 1620? -2*r**3 - 6*r**2 + 358*r + 94 What is the i'th term of -143701, -144520, -145339, -146158, -146977? -819*i - 142882 What is the w'th term of -1035758, -1035754, -1035750? 4*w - 1035762 What is the y'th term of 17072163, 34144318, 51216473? 17072155*y + 8 What is the b'th term of -531, -2432, -5775, -10704, -17363, -25896? -24*b**3 - 577*b**2 - 2*b + 72 What is the t'th term of 337, 212, 157, 208, 401, 772, 1357, 2192? 6*t**3 - t**2 - 164*t + 496 What is the q'th term of 131995, 264353, 396711, 529069, 661427? 132358*q - 363 What is the i'th term of -24271025, -24271026, -24271027? -i - 24271024 What is the q'th term of -2763, -5578, -8395, -11214? -q**2 - 2812*q + 50 What is the j'th term of -54908, -219625, -494170, -878549, -1372768, -1976833? -j**3 - 54908*j**2 + 14*j - 13 What is the b'th term of -1053988, -1054018, -1054052, -1054090, -1054132, -1054178? -2*b**2 - 24*b - 1053962 What is the u'th term of 8159686, 16319354, 24479022, 32638690? 8159668*u + 18 What is the l'th term of 4796, 38284, 129128, 305990, 597532? 4777*l**3 + 16*l**2 + l + 2 What is the j'th term of 349730, 349731, 349732, 349733? j + 349729 What is the a'th term of -9264, -9225, -9116, -8901, -8544, -8009, -7260? 6*a**3 - a**2 - 9269 What is the m'th term of -5717, -11477, -17237, -22997, -28757? -5760*m + 43 What is the p'th term of -259360, -257035, -254710? 2325*p - 261685 What is the i'th term of 1260117913, 1260117911, 1260117909, 1260117907, 1260117905? -2*i + 1260117915 What is the w'th term of -378107, -378203, -378319, -378455? -10*w**2 - 66*w - 378031 What is the s'th term of 890699, 890738, 890801, 890888? 12*s**2 + 3*s + 890684 What is the p'th term of 843221, 1686442, 2529663, 3372884, 4216105? 843221*p What is the h'th term of -315943577, -631887157, -947830737, -1263774317, -1579717897, -1895661477? -315943580*h + 3 What is the f'th term of 362026, 362022, 362030, 362056, 362106? f**3 - 11*f + 362036 What is the y'th term of 315425, 315731, 316025, 316301, 316553, 316775? -y**3 + 313*y + 315113 What is the q'th term of 1696165, 1696085, 1696005, 1695925? -80*q + 1696245 What is the p'th term of -24374, -49406, -74440, -99476, -124514, -149554? -p**2 - 25029*p + 656 What is the l'th term of -59281744, -118563496, -177845250, -237127006, -296408764? -l**2 - 59281749*l + 6 What is the i'th term of -12061923, -12061925, -12061927, -12061929, -12061931? -2*i - 12061921 What is the u'th term of 1059, 4238, 9537, 16950, 26471, 38094, 51813? -u**3 + 1066*u**2 - 12*u + 6 What is the s'th term of -14887, -14880, -14867, -14848, -14823, -14792, -14755? 3*s**2 - 2*s - 14888 What is the b'th term of -4790, -19109, -42948, -76313, -119210, -171645, -233624? -b**3 - 4754*b**2 - 50*b + 15 What is the t'th term of -8133, -7981, -7829? 152*t - 8285 What is the c'th term of 60549, 484478, 1635141, 3875904, 7570133, 13081194, 20772453? 60561*c**3 + c**2 - c - 12 What is the z'th term of -51594340, -51594367, -51594394, -51594421? -27*z - 51594313 What is the h'th term of -26065, -26055, -26045, -26035, -26025, -26015? 10*h - 26075 What is the y'th term of -36510, -61238, -85970, -110706, -135446? -2*y**2 - 24722*y - 11786 What is the t'th term of -1315817, -1315685, -1315553, -1315421? 132*t - 1315949 What is the i'th term of -103913, -208132, -312351, -416570, -520789, -625008? -104219*i + 306 What is the g'th term of 15005676, 15005678, 15005680, 15005682? 2*g + 15005674 What is the g'th term of -160255, -320509, -480763? -160254*g - 1 What is the q'th term of 261, -2735, -7723, -14703, -23675, -34639? -996*q**2 - 8*q + 1265 What is the i'th term of -55283, -224012, -505235, -898958, -1405187, -2023928? -i**3 - 56241*i**2 + i + 958 What is the u'th term of -7261, -12336, -17411, -22486, -27561, -32636? -5075*u - 2186 What is the f'th term of -6673890, -6674155, -6674420? -265*f - 6673625 What is the o'th term of 22055, 22137, 22315, 22619, 23079, 23725, 24587? 5*o**3 + 18*o**2 - 7*o + 22039 What is the j'th term of 88834094, 177668188, 266502282? 88834094*j What is the q'th term of -7874265, -7874269, -7874273, -7874277? -4*q - 7874261 What is the k'th term of -22762, -22673, -22526, -22321? 29*k**2 + 2*k - 22793 What i
{ "pile_set_name": "DM Mathematics" }
4. Calculate w(11). 57 Let l(z) = -3*z**2 - 7*z - 19. Give l(-7). -117 Let z(n) = 29725*n + 59453. Give z(-2). 3 Let u(y) = -54*y - 143. Calculate u(-4). 73 Let h(l) = -5*l**3 + 3*l**2 - l - 3. Give h(-1). 6 Let m(p) = p**3 - 14*p**2 + 49*p - 12. Give m(6). -6 Let h(n) = -n**3 + 2*n**2 + 19*n - 13. Give h(5). 7 Let f(m) = -668*m + 7. Calculate f(1). -661 Let b(d) = d**3 + 267*d**2 + 1036*d - 4213. Determine b(-263). -5 Let i(j) = -j**2 + 197*j + 1901. Calculate i(206). 47 Let w(k) = k**3 + 23*k**2 - 281*k + 493. Give w(7). -4 Let j(l) = -l**2 - 38*l + 832. Determine j(14). 104 Let i(c) = 2*c**3 + 26*c**2 + 59*c - 27. What is i(-3)? -24 Let z(x) = 25*x - 46. Determine z(5). 79 Let g(m) = -m**3 + 31*m**2 - 36*m + 75. What is g(30)? -105 Let g(r) = -46*r + 2702. Determine g(58). 34 Let v(p) = 37*p**2 - 2624*p - 172. Determine v(71). 41 Let x(z) = 21*z**2 + 594*z - 432. What is x(-29)? 3 Let i(c) = -c**3 - 44*c**2 - 255*c + 132. Give i(-37). -16 Let y(h) = 2*h**2 + 26*h - 4. Determine y(-17). 132 Let q(y) = -y**2 - 88*y + 2320. What is q(-109)? 31 Let x(u) = -u**3 + 7*u**2 + 40*u - 97. Calculate x(10). 3 Let t(y) = 65*y + 562. Determine t(-9). -23 Let b(s) = -s**3 - 10*s**2 - 20*s + 26. Determine b(-5). 1 Let w(u) = -4*u**2 - 110*u - 664. Give w(-9). 2 Let z(j) = -5*j**3 + 5*j**2 + 11*j + 6. Determine z(-1). 5 Let l(o) = -20*o**2 + 142*o - 22. Calculate l(7). -8 Let t(o) = o**3 - 25*o**2 - 2*o + 31. What is t(25)? -19 Let v(y) = 31*y - 258. Calculate v(8). -10 Let b(o) = -30*o**2 - 170*o + 7. Determine b(-5). 107 Let s(v) = -14835*v + 148354. Determine s(10). 4 Let k(p) = 1614*p + 16124. Give k(-10). -16 Let u(h) = -15*h + 26. Determine u(-13). 221 Let p(v) = -v**3 - 84*v**2 - 79*v + 298. Give p(-83). -34 Let t(f) = 24*f**3 - 4*f**2 + 2*f. Calculate t(2). 180 Let a(l) = 6*l**2 + 26*l + 1. Determine a(6). 373 Let x(b) = 245*b + 1049. Determine x(-4). 69 Let b(l) = -l**2 + 157*l + 11382. What is b(-54)? -12 Let o(g) = 13*g - 606. Give o(35). -151 Let l(x) = -74*x - 2329. Determine l(-25). -479 Let r(a) = -1497*a - 2894. What is r(-2)? 100 Let c(t) = -t**3 - 630*t**2 + 2553*t - 13. Give c(4). 55 Let g(j) = -464*j - 491. Calculate g(-1). -27 Let t(c) = c**3 + 11*c**2 - 26*c + 195. Give t(-14). -29 Let c(h) = 3160*h - 192771. Calculate c(61). -11 Let f(l) = 92*l**3 + 5*l**2 + 4*l - 7. Determine f(2). 757 Let m(g) = -5*g**2 - 43*g - 47. Calculate m(-7). 9 Let a(g) = 28*g + 429. Calculate a(-28). -355 Let r(p) = 10*p - 241. Determine r(22). -21 Let a(m) = 433*m - 1314. Determine a(3). -15 Let q(r) = r**3 - 13*r**2 + 11*r + 742. Determine q(-6). -8 Let y(g) = -g**3 + 20*g**2 + 5*g + 7. Give y(20). 107 Let x(s) = -1062*s + 64775. Give x(61). -7 Let h(o) = -o + 3. Calculate h(-5). 8 Let v(d) = -63*d + 1249. What is v(20)? -11 Let j(t) = t**3 + 21*t**2 + 77*t - 334. What is j(-14)? -40 Let w(v) = 9*v**2 + 38*v + 80. Calculate w(-4). 72 Let c(f) = -862*f + 206878. Determine c(240). -2 Let t(f) = 5557*f + 10. Give t(0). 10 Let v(p) = -p**2 + 22*p - 152. Calculate v(15). -47 Let f(g) = 3617*g + 75946. Give f(-21). -11 Let g(c) = 19*c**2 + 77*c - 158. What is g(2)? 72 Let w(g) = -22*g**2 - 4839*g + 221. Determine w(-220). 1 Let g(z) = 3*z**2 - 43*z + 31. Give g(15). 61 Let v(j) = 8*j**3 + 62*j**2 - 102*j - 59. What is v(-9)? 49 Let p(w) = 6*w**2 - 222*w + 1. What is p(37)? 1 Let q(j) = 11*j**3 - 30*j**2 - 12*j + 17. Determine q(5). 582 Let z(u) = 2039*u - 14275. Determine z(7). -2 Let g(v) = v**2 - 64*v + 410. Determine g(57). 11 Let u(x) = 4*x - 379. What is u(11)? -335 Let m(h) = -22*h - 1049. Give m(-45). -59 Let m(v) = 6048*v - 12097. What is m(2)? -1 Let i(x) = -4*x**2 + 30*x + 96. Give i(10). -4 Let n(m) = m**2 - 88*m + 1453. Calculate n(26). -159 Let d(u) = -203*u - 23139. Give d(-114). 3 Let o(z) = z**3 + 63*z**2 + 125*z - 157. Determine o(-61). -340 Let t(b) = -b**2 - 39*b + 239. Calculate t(-41). 157 Let z(q) = q**3 - 48*q**2 + 474*q + 69. Calculate z(34). 1 Let z(o) = 89*o**2 + 14*o + 1. Give z(1). 104 Let b(w) = -w**3 - 13*w**2 - 34. Calculate b(-13). -34 Let w(c) = -2*c**2 + 83*c + 1605. Give w(56). -19 Let x(i) = -i**3 - 12*i**2 - 17*i + 120. Calculate x(-6). 6 Let o(b) = -294*b + 12069. Give o(41). 15 Let g(q) = 579*q + 15695. Give g(-27). 62 Let t(a) = a**2 + 100*a - 2538. Determine t(21). 3 Let w(g) = -g**2 - 38*g + 945. Calculate w(-56). -63 Let z(a) = -a**3 + 22*a**2 - 51*a + 226. What is z(20)? 6 Let l(g) = -g**2 + 25*g + 613. Give l(41). -43 Let k(u) = 4*u**2 - 16*u - 253. What is k(-16)? 1027 Let o(c) = 16*c - 121. Determine o(6). -25 Let h(k) = 74*k**2 - 1267*k + 166. Give h(17). 13 Let p(z) = -56*z + 32. Calculate p(6). -304 Let l(a) = -45*a + 354. Give l(7). 39 Let c(d) = 61*d - 1122. Calculate c(26). 464 Let x(z) = -58*z + 27. Give x(3). -147 Let a(g) = 90*g - 514. Determine a(7). 116 Let k(h) = -h**2 - 58*h + 670. Give k(10). -10 Let u(r) = -3*r**3 + 7*r**2 + 77*r - 58. Give u(6). 8 Let p(v) = v**3 - 44*v**2 + 311*v + 1705. Calculate p(33). -11 Let w(b) = 40*b + 3187. What is w(-80)? -13 Let c(s) = -s**2 - 6*s + 37. Calculate c(6). -35 Let r(g) = 4*g**3 + 40*g**2 + 12*g + 71. Determine r(-10). -49 Let u(r) = -1765*r - 363583. Determine u(-206). 7 Let v(o) = -o**3 - 18*o**2 - o - 38. Calculate v(-18). -20 Let g(h) = 4*h**2 + 73*h + 98. What is g(-19)? 155 Let q(r) = -2*r**3 - 59*r**2 - 333*r - 47. Calculate q(-22). 19 Let l(r) = -1888*r - 52884. Determine l(-28). -20 Let w(u) = -2*u**3 - 40*u**2 + 43*u + 69. Determine w(-21). 48 Let h(n) = -31*n - 1597. Determine h(-51). -16 Let u(r) = r**2 + 550*r - 1632. Determine u(3). 27 Let n(b) = -14*b + 93. What is n(4)? 37 Let o(i) = -99*i - 2840. Give o(-33). 427 Let y(n) = 20*n**2 + 20*n + 60. Give y(-5). 460 Let t(c) = c**3 + 13*c**2 - 46*c + 457. Give t(-17). 83 Let a(x) = x**3 + 22*x**2 - 193*x + 84. Determine a(-29). -206 Let v(q) = -14*q**3 + q**2 - 5*q + 5. Calculate v(1). -13 Let g(b) = -b**2 + 37*b + 472. Give g(47). 2 Let l(p) = 4*p**2 + 43*p + 92. Calculate l(-3). -1 Let t(l) = -353*l + 38468. Determine t(109). -9 Let y(p) = 153*p**3 + 4*p**2 - 10*p + 6. Determine y(1). 153 Let l(d) = 138*d - 7040. Give l(51). -2 Let d(t) = -t**2 + 81*t - 1519. Determine d(51). 11 Let v(b) = 2*b**2 + 507*b - 4084. Determine v(8). 100 Let h(w) = w**3 - 14*w**2 - 64*w + 513. Give h(16). 1 Let x(v) = 3*v**3 - 12*v**2 + 642*v - 2533. What is x(4)? 35 Let g(r) = -r**3 + 67*r**2 - 970*r + 184. What is g(46)? 0 Let v(u) = u**2 + 143*u + 669. Give v(-138). -21 Let c(m) = -48*m + 271. What is c(6)? -17 Let f(r) = r**2 + 36*r + 288. Determine f(-14). -20 Let b(j) = -10*j**2 - 72*j - 43. Determine b(-11). -461 Let x(v) = 19*v**2 + 27*v + 38. Determine x(4). 450 Let t(a) = a**2 + 6*a - 7. Determine t(-7). 0 Let s(u) = -152*u - 11. Give s(-1). 141 Let a(l) = -3*l**3 - 9*l**2 + 136*l + 127. Determine a(-8). -1 Let l(h) = 65*h - 541. Determine l(13). 304 Let w(a) = -170*a + 1827. Give w(11). -43 Let r(l) = 4*l**2 + 11*l - 26. What is r(-6)? 52 Let k(w) = -12*w**2 + 5*w + 621. Give k(-7). -2 Let h(z) = -202*z**2 - 607*z + 5. What is h(-3)? 8 Let n(z) = 198*z + 1549. What is n(-7)? 163 Let t(j) = -8*j**2 + 21*j - 73. Give t(4). -117 Let q(x) = 334*x - 249. Calculate q(2). 419 Let h(q) = q**3 + 30*q**2 + 31*q + 1926. Calculate h(-31). 4 Let d(v) = 4*v**2 - v - 20. Give d(7). 169 Let c(z) = 61*z + 743. What is c(-12)? 11 Let d(n) = 12*n**3 - 153*n**2 - 40*n - 23. Give d(13). -36 Let s(x) = x**3 - 10*x**2 - 55*x + 10. Determine s(14). 24 Let i(s) = 19*s**2 + 28*s - 2. Calculate i(-7). 733 Let s(r) = -r**2 + 29*r - 122. Calculate s(27). -68 Let a(h) = -37*h - 2763. What is a(-72)? -99 Let w(d) = -121*d**3 + 1336*d**2 - 63*d + 80. What is w(11)? -8 Let w(k) = k**2 - 32*k - 519. What is w(47)? 186 Let k(f) = 146*f - 5979. Determine k(41). 7 Let z(p) = -2*p**2 - 58*p - 68. What is z(-29)? -68 Let h(c) = 127*c - 383. What is h(3)? -2 Let a(m) = 44*m - 3244. Determine a(73). -32 Let c(l) = 2*l**3 - 28*l**2 - 4*l - 13. What is c(14)? -69 Let f(k) = -k**2 - 26*k + 3317. Give f(46). 5 Let q(w) = -w**3 - 66*w**2 - 250*w - 175. What is q(-62)? -51 Let r(f) = -f**3 + 22*f**2 - 88*f + 9. Determine r(6). 57 Let f(j) = 5*j - 104. Determine f(33). 61 Let y(t) = 2540*t + 15239. What is y(-6)? -1 Let x(b) = -37*b**2 - 22*b + 21. Det
{ "pile_set_name": "DM Mathematics" }
m {z: 2, k: 16}? 32/153 Calculate prob of picking 1 a, 2 n, and 1 i when four letters picked without replacement from nwiawiwnni. 3/70 Four letters picked without replacement from rrrrrr. What is prob of picking 4 r? 1 Two letters picked without replacement from {m: 4, b: 2, p: 6}. Give prob of picking 2 m. 1/11 Two letters picked without replacement from {w: 1, m: 6, g: 2, v: 3, s: 3, q: 4}. Give prob of picking 1 q and 1 w. 4/171 Calculate prob of picking 2 f and 2 q when four letters picked without replacement from fqqffff. 2/7 Calculate prob of picking 2 c when two letters picked without replacement from {y: 1, a: 3, c: 7, q: 2, x: 3, i: 3}. 7/57 Calculate prob of picking 1 q and 2 e when three letters picked without replacement from qqoqqqqqqqqkxeqqqqe. 14/969 Two letters picked without replacement from {u: 10, m: 1, s: 4, k: 2}. What is prob of picking 2 k? 1/136 Two letters picked without replacement from jhilehjjjijehjil. What is prob of picking 1 j and 1 e? 1/10 Calculate prob of picking 3 p when three letters picked without replacement from ggpggpggpgggpgpggp. 5/204 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, w: 3}. 1/10 Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {r: 3, n: 3, s: 7, c: 7}. 21/380 Two letters picked without replacement from xwwybydywdoyddw. Give prob of picking 1 y and 1 x. 4/105 Three letters picked without replacement from {b: 3, w: 4, c: 1, p: 6, e: 2}. Give prob of picking 2 p and 1 b. 9/112 What is prob of picking 2 l when two letters picked without replacement from lvvvllvvvlvvvvvvvvvv? 3/95 Calculate prob of picking 2 i when two letters picked without replacement from diiiddd. 1/7 Two letters picked without replacement from rrtisiretztrzrzrr. Give prob of picking 1 r and 1 s. 7/136 What is prob of picking 1 c, 1 h, and 1 x when three letters picked without replacement from {x: 5, c: 5, t: 5, h: 4, d: 1}? 5/57 Calculate prob of picking 1 m and 3 d when four letters picked without replacement from {p: 4, m: 2, d: 4}. 4/105 Two letters picked without replacement from {w: 11, g: 5}. Give prob of picking 2 g. 1/12 What is prob of picking 1 s and 3 p when four letters picked without replacement from pspspspppppp? 28/55 What is prob of picking 4 p when four letters picked without replacement from phppphhppsssh? 3/143 What is prob of picking 1 p, 1 r, and 1 t when three letters picked without replacement from ooprrterpp? 3/40 What is prob of picking 1 s, 1 o, and 2 j when four letters picked without replacement from rcrjsojjqjrc? 2/165 Four letters picked without replacement from {g: 1, c: 1, j: 1, u: 2, x: 2}. What is prob of picking 1 x, 2 j, and 1 g? 0 What is prob of picking 1 r and 1 v when two letters picked without replacement from rvrrrrvrrrrv? 9/22 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from suiivsissssusssssss. 13/171 What is prob of picking 1 d, 1 p, and 1 s when three letters picked without replacement from isdsdtitpdsrrt? 9/364 Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, s: 2}. 15/28 What is prob of picking 1 v, 2 g, and 1 e when four letters picked without replacement from vvvzdvdvdevggaavvddd? 8/4845 Four letters picked without replacement from {r: 5, d: 14}. What is prob of picking 3 d and 1 r? 455/969 What is prob of picking 1 c and 1 z when two letters picked without replacement from ccccczcccccc? 1/6 Two letters picked without replacement from {j: 1, b: 1, u: 3, o: 2, s: 6}. What is prob of picking 1 u and 1 b? 1/26 Two letters picked without replacement from {k: 9, o: 2}. What is prob of picking 2 k? 36/55 Four letters picked without replacement from kpkkpkpkpkkzkkpo. Give prob of picking 1 z, 1 k, and 2 p. 9/182 Three letters picked without replacement from {x: 5, n: 11}. Give prob of picking 2 x and 1 n. 11/56 Calculate prob of picking 1 p, 1 r, and 1 c when three letters picked without replacement from pcpcccrpppcpcpcpppcp. 22/285 What is prob of picking 2 x when two letters picked without replacement from {g: 2, x: 4, b: 6}? 1/11 What is prob of picking 1 z and 1 x when two letters picked without replacement from zcbxzbb? 2/21 Two letters picked without replacement from {g: 11, v: 2, k: 2, u: 2, q: 1, y: 1}. What is prob of picking 1 g and 1 u? 22/171 What is prob of picking 4 k when four letters picked without replacement from kkkmkkkkkmk? 21/55 What is prob of picking 1 x, 1 a, and 2 o when four letters picked without replacement from aoxxaxxxxxxxoxxaox? 3/85 Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {q: 2, y: 4, m: 1, x: 7}. 18/143 Two letters picked without replacement from oqqoooooooo. Give prob of picking 1 q and 1 o. 18/55 What is prob of picking 4 e when four letters picked without replacement from wkfejeeef? 1/126 Four letters picked without replacement from {b: 4, d: 6, i: 3, z: 1}. What is prob of picking 3 i and 1 b? 4/1001 Two letters picked without replacement from ssssswrwsskr. Give prob of picking 1 k and 1 r. 1/33 Three letters picked without replacement from tjzjjjxjtttzjztttz. Give prob of picking 2 j and 1 t. 35/272 Three letters picked without replacement from pfooooqx. What is prob of picking 1 q, 1 f, and 1 x? 1/56 Four letters picked without replacement from oeooooeeeoeoo. Give prob of picking 2 o and 2 e. 56/143 Four letters picked without replacement from nxxxzmm. What is prob of picking 1 x, 1 n, and 2 m? 3/35 Two letters picked without replacement from hooolhhholohhh. Give prob of picking 2 o. 10/91 What is prob of picking 2 k when two letters picked without replacement from {b: 2, g: 1, k: 5, m: 11, j: 1}? 1/19 Four letters picked without replacement from {l: 5, z: 7, g: 4, w: 2}. What is prob of picking 2 z, 1 l, and 1 g? 7/51 What is prob of picking 1 x, 2 s, and 1 a when four letters picked without replacement from xsxiaxiaysaisss? 6/91 Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, u: 1, l: 2, k: 2, g: 1, q: 1}. 1/28 Calculate prob of picking 3 e when three letters picked without replacement from {f: 15, e: 5}. 1/114 Calculate prob of picking 2 k and 2 l when four letters picked without replacement from llllkllkllkkllkllkl. 195/646 Calculate prob of picking 4 y when four letters picked without replacement from {z: 15, y: 5}. 1/969 Four letters picked without replacement from {o: 2, q: 1, n: 2, g: 1, z: 1}. Give prob of picking 1 z, 1 o, 1 q, and 1 g. 2/35 What is prob of picking 1 z and 1 e when two letters picked without replacement from ezzzzzzez? 7/18 Three letters picked without replacement from {m: 1, l: 1, v: 1, q: 1, p: 1}. Give prob of picking 1 p, 1 v, and 1 q. 1/10 What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 1, v: 1, p: 1, z: 1, b: 1}? 1/10 Calculate prob of picking 2 d and 1 w when three letters picked without replacement from dddfdsddfwdfdfflfff. 28/969 Three letters picked without replacement from ktgvq. Give prob of picking 1 v, 1 g, and 1 t. 1/10 Three letters picked without replacement from etjtbbbetbebbebbbbbe. Give prob of picking 2 b and 1 t. 11/76 What is prob of picking 2 d when two letters picked without replacement from {t: 7, d: 6}? 5/26 Calculate prob of picking 2 u, 1 e, and 1 g when four letters picked without replacement from uagzgueef. 2/63 Calculate prob of picking 1 i and 3 b when four letters picked without replacement from bbbbbbbbbibbibbbbbb. 20/57 Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {c: 7, e: 4}. 28/55 Four letters picked without replacement from wmmwmmwmwmww. Give prob of picking 3 m and 1 w. 8/33 Three letters picked without replacement from {g: 4, e: 4, s: 4, h: 2}. Give prob of picking 1 s, 1 h, and 1 g. 8/91 Three letters picked without replacement from fffzzfzffz. Give prob of picking 1 z and 2 f. 1/2 Three letters picked without replacement from offfkokfffffffkoof. Give prob of picking 2 k and 1 o. 1/68 Three letters picked without replacement from {f: 2, t: 1, h: 1, p: 3, z: 1, s: 8}. What is prob of picking 1 f, 1 s, and 1 t? 1/35 What is prob of picking 1 s,
{ "pile_set_name": "DM Mathematics" }
n) = -5 - n - n + n. Let i be v(-7). Solve 3 = -g + i*b + 1, -4*g = 2*b - 22 for g. 4 Let v be -3*20/(-45)*(2 - -1). Solve -9 - 4 = 2*b - 3*z, -7 = -v*b - 5*z for b. -2 Suppose -w + 15 = -6*w - 2*p, -2*w + 3*p - 25 = 0. Let x(u) = u**2 + u - 5. Let c be x(w). Let i = c + -11. Solve 0 = 5*s, 0 = 3*v - 4*s + 2 + i for v. -2 Let w = 21 + -21. Suppose w = 2*r + 10 - 0, z - 2*r - 24 = 0. Solve 3*d - 5*y = -z + 2, 4 = -d + 3*y for d. -4 Let c = 13 + -8. Solve -3*p + 5*f = -5, -3*p - c*f - 40 = -5 for p. -5 Let y = -20 + 25. Solve -2 - 8 = y*h - 5*f, h + 3*f + 10 = 0 for h. -4 Let g = -7 + 12. Solve 2*p - d - 3 = 2, 0 = g*p - d - 5 for p. 0 Let q be (6 + -7)*(1 - 1). Solve -2*t - r = q, -2*t - 5*r + 7 = -1 for t. -1 Suppose -2 = 2*s + b - 8, -2*s - 2 = 5*b. Solve -s*o - 16 = 0, 0*a + 3*a - 1 = -2*o for a. 3 Let w(v) = v**3 - 6*v**2 - 4*v - 10. Let u be w(7). Let q = u + -7. Solve 0 = 4*r - 3*z + 3, -q*r + 1 = -r + z for r. 0 Let y(j) = 2*j**3 - j**2 + 1. Suppose 4*x - 9 = x. Let i = x + -2. Let s be y(i). Solve -2*a - 2 = 2*l, 0 = -a + s*l + 7 + 4 for a. 3 Let f(g) = -g**2 + 9*g - 9. Let n be f(7). Let s(y) = y - 2. Let t be s(n). Solve 5*m - 3*b + 28 = 0, -m - 2*b + 0 = t for m. -5 Suppose 1 = -3*x + 7. Solve -t + x*t + 12 = -5*m, -4*t + 15 = -m for t. 3 Let z(a) = a - 5. Let g be z(6). Let v(r) = -r**2 - r + 5. Let l be v(0). Solve -h + 0 = -d - g, l*d = -10 for h. -1 Suppose 0 = -0*t - 3*t + 15. Suppose 3 + t = -4*y. Let b(a) = a**3 + 3*a**2 + 2*a + 2. Let d be b(y). Solve 5*o + 30 = 5*z, -d*o + o + 6 = 2*z for z. 4 Let h = 5 - -5. Suppose 3 = -n + h. Solve 2*v + v + 2*w = -n, -1 = -w for v. -3 Suppose p + 0 = f + 5, 0 = 3*p + 4*f + 20. Suppose p = -7*y + 10*y. Solve 0 = -3*x - a + 6, 3*x + y*a + 3 = 2*a for x. 1 Let n = -9 - -14. Suppose -9 - 3 = 4*h + v, -5*h - 18 = 2*v. Let o be 0 - 0 - -2 - h. Solve 0 = -o*p, p = -2*m - n - 1 for m. -3 Suppose 0 = -i - 3*i - 20. Let d(m) = m**2 + 5*m + 2. Let n be d(i). Solve -j + u = 10, n*j - 4*u = -28 - 2 for j. -5 Let v be (-8 - 2)*1/(-2). Suppose v*n - 23 = -q - 0*n, q = 4*n - 13. Solve -2*w - a = -2, -3*a - 16 = -2*w - q*w for w. 2 Let k(z) = 4*z - 15. Let s be k(7). Let c = 4 + -1. Solve p - 11 = w + c*w, s = 2*p - 5*w for p. -1 Let v be (-16)/(-6)*(-3)/(-2). Let b = 1 + 3. Let i be b/10 + (-16)/(-10). Solve 5*j + 15 = -v*c, 2*c + 3*j + 9 = -i*c for c. 0 Let h = 7 - 3. Suppose h = 4*v - 4. Solve -a = -5*m + 19, v*m = 7*m + a - 11 for m. 3 Let o be (8/6)/((-2)/(-6)). Suppose -t - 3*m - 7 = 2, -t - m = 3. Suppose 4 = -2*d - t*d, 0 = c + 3*d + 1. Solve 5*g + 26 = -o*b, g + 26 = -c*b - 2*g for b. -4 Suppose -4 + 10 = 3*m. Solve -4*w + a + 8 = 0, -w + 4 = -a + m for w. 2 Suppose 4*q - 81 = q. Suppose 5*l - q = 63. Suppose 5*v - 9 = 1. Solve -3*p - v*r = -0*r - 15, -r = 5*p - l for p. 3 Let s(t) be the first derivative of t**2/2 + t - 3. Let x be s(3). Solve 3*q = 6*b - b + 4, -x*q - 6 = -b for b. -2 Let z(r) = -5*r. Let q be z(-1). Solve 5 = q*l + 5*t, -4*l + 4 = -4*t - 16 for l. 3 Let a be (-1 - -2) + 0 + 1. Let t = 3 - a. Let y be t + 6/(-3)*-1. Solve 0 = y*i - 3*z + 27, 2*z - 37 = 3*i - 3*z for i. -4 Suppose 0 = 4*i + 4*o - 1 - 7, i = 2*o - 4. Solve -3*a + 7 = -k - i, -4*a - 12 = 4*k for a. 1 Let l(m) = -m**3 + 7*m**2 + 7*m + 28. Let d be l(8). Solve -2*k - 8 = 2*t + 2*t, -4*k = -4*t - d for k. 2 Let r(x) = -2*x - 9. Let y be r(-8). Suppose m - 3*i + y = 0, 10 = m + 4*i - 11. Solve -26 + 10 = 3*p - m*s, 10 = -p + 4*s for p. -2 Let l = 24 - 19. Let m = l + -2. Solve q = -m, 2*z - 2*q - 10 = -0*z for z. 2 Let t = 2 - 2. Suppose 5*b = 5*z - 160, t = -4*z + z - 5*b + 96. Suppose -4*r - z = -4*n, n + 44 = 6*n - 3*r. Solve 2 + 10 = 2*y + 4*j, -5*j = -n for y. 2 Suppose 3*n = -4 + 64. Solve -n = 5*r - 9*r + 3*w, 5*w = 5*r - 30 for r. 2 Let o = 28 + -24. Solve o = -3*q + 4*h - 0, 0 = 3*q - 5*h + 8 for q. 4 Let o(r) = r**2 - 3*r - 1. Let i be o(3). Let j(k) = -20*k**3 + k**2 + k + 1. Let a be j(i). Solve y = -4*l + l - 11, 2*l - a = 5*y for l. -2 Let x(r) = -2*r - 6. Let n be x(-9). Solve -6*i + i + 2*o + 3 = 0, -2*o - n = 4*i for i. -1 Suppose 4*v - v - 90 = 0. Let m be ((-2)/3)/((-10)/v). Solve 0 = -7*q + 3*q - m*o - 14, q + 2 = -o for q. -5 Let q be (3 + 3)/(6/8). Solve 5*d + 2*v = -0*v - 20, 2*v + q = d for d. -2 Let c(p) = 4*p**2 + p. Let v be c(-1). Suppose -g - 10 = -2*g. Let q = g - 6. Solve -t + x + x = -q, -v*t + 4*x = -12 for t. 4 Let w be (-1 - -1)*2/4. Suppose 1 = 3*x + 2*q - 5, w = 5*x + 5*q - 10. Solve -20 = -4*f - 2*b, -3*f = -x*f - 4*b + 13 for f. 3 Let j(y) = y - 5. Let h be (-6)/4*16/(-3). Let v be j(h). Solve 0 = -v*x + 5*s - 28, -3*x - 29 = x - 5*s for x. -1 Let q be 7*1*(4 + -5). Let u = q - -12. Let z = -49 - -58. Solve 3*c = z, -u*b + 14 = -3*c + 6*c for b. 1 Let l = 15 + -12. Solve -2*g - l*z - 11 = 0, -g = 4*g + 5*z + 15 for g. 2 Let v(m) = m**2 + 3*m + 4. Let y be v(-3). Let b = 21 + -6. Let c be b/6*-5*-2. Solve -4*g = -y*r, -2*g = 3*g - c for r. 5 Let v(f) be the second derivative of -f**3/6 + 3*f**2 - 2*f. Let b be v(4). Solve -b*t + 0*t - 5 = 5*z, -5*z = -3*t - 20 for z. 1 Let h be 4/(-6) + 112/24. Solve -8 = -3*l - 5*g - 33, l = h*g + 20 for l. 0 Suppose -g - 12 = -2*o - 5*g, -2*o + 3*g + 5 = 0. Solve 0 = n + l, 2*n - o*n - l - 2 = 0 for n. -2 Let p(s) = -s**3 + 15*s**2 + 22. Let q be p(15). Solve j + 4 = -2*j + t, q = j - 5*t for j. -3 Let a(t) = t**2 - 4*t + 3. Let q be a(4). Let w be 17/5 - 4/10. Solve w*g = q*u - 4 + 1, 4*u = -2*g + 10 for u. 2 Let s(p) = p - 1. Let o(c) = 3*c**2 - 4*c + 3. Let z be o(2). Let d be s(z). Solve d = -3*v + 3*k, 3*v + 0*v + 6 = 5*k for v. -2 Suppose 2*d - 3*q = -q + 40, -d = q - 12. Let r = -9 - -6. Let g be r + 1 - (-4)/1. Solve 3*n - 2*i = g*i - d, -n = -3*i + 7 for n. -4 Suppose -6 = 2*k + 2*c, -4*c = -4*k - 6*c - 8. Let j be 0 + k + -1 + 3. Suppose 0 = -s + 4 - j. Solve -s*v - 17 = 3*m - 2, -2*v - 5*m = 19 for v. -2 Let n be 2/9 - (-75)/27. Let a = n + -1. Solve 0*x = 2*r + a*x + 16, -4*r = -3*x + 4 for r. -4 Suppose -5*o - 40 = -3*l, -l + 2*o + 20 = l. Solve 2*r = -3*r - 20, k - l*r - 25 = 0 for k. 5 Let d be ((-15)/(-6)*-8)/(-1). Suppose d = 3*q + q. Solve q*w = 0, w + 2*w + 2 = 2*b for b. 1 Let h = 5 - 0. Suppose -2*m - 3*m + 2*w + h = 0, -3*m = 3*w - 24. Solve -4*f - m*r = 4, 2*f - 4*r = -2*r + 12 for f. 2 Let l = -4 - -6. Let q(y) = -2*y - 18. Let w be q(-13). Suppose -5*x + w*x = 6. Solve -l*k = -r - 0*r - 2, -x = -2*k for r. 0 Let s(y) = 3*y - 7*y + 10 + y**2 - 6*y. Let u be s(8). Let b(a) = a**3 + 6*a**2 + 2. Let o be b(u). Solve -3 = -3*g, -x - x = -o*g - 6 for x. 4 Suppose 45*z = 50*z - 60. Solve -3*j - z = 3*l - 2*j, -2*j - 9 = l for l. -3 Let h = -108 - -113. Solve -h*p + 11 = 2*y, p = 4*p + 2*y - 5 for p. 3 Suppose 16 = 4*n - 3*n. Solve c + 8 = 3*t, t = c + 6*t - n for c. 1 Suppose -6*x = 7 - 25. Solve -5*n + 18 = -4*c, x*c - 14 = -2*n + 8*c for n. 2 Suppose 0 = -3*d + 4*j - 50, -4*j - 5 = 3*d + j. Let w be (12/d)/((-6)/40). Suppose -v = v - w. Solve -3*f - 8 = -f, -v*o - 3*f = 28 for o. -4 Suppose 5*l = 9*l. Suppose 6*k - 4*k = 6. Solve l*q + 24 = -3*q + 3*t, -15 = -k*t for q. -3 Let v = 5 - 5. Solve 0 = -j - 5*l - v*l, -j - 4*l = 0 for j. 0 Let o be 2*20/16*2. Solve -4*m = -4*h + 4, 0*m + 2*m + h + o = 0 for m. -2 Suppose 3*q + 15 = 8*q - h, 2*q - 2*h + 2 = 0. Solve 5*b = t + 10, 3*t + 2*b - 4*b + q = 0 for t. 0 Suppose -52 = -5*p + p. Let w = 22 - p. Suppose 7*y - 54 = 5*y. Solve 2*s = m + w, -3*m - m - y = -5*s for m. -3 Let o be (102/9)/(2/3). Solve 3*v = -v + r - o, -v + 10 = -5*r for v. -5 Suppose 5*n = -0*n + 40. Solve 4*d + n = 0, 4*g - 2*d + d + 14 = 0 for g. -4 Let y(n) be the first derivative of -n**3/3 + 5*n**2/2 - 6*n - 1. Let j be y(5). Let r = j + 11. Solve -5*i + 2 = -r*k + 4*k, k = 3 for i. 1 Suppose 2*w - 6 = -4*p, -p = 4*w - 2*w - 15. Let t = -6 + w. Solve 5*d = -0*s - 2*s - 13, -d + s + t = 0 for d. -1 Let g(a) = -1 + 0*a**2 - 1 + a + 5*a**2 - 1. Let r be g(-2). Solve -k - r = -z - 6*k, -5*k = -5*z - 45 for z. -5 Let p = 4 + 6. Suppose -q = -3*q + p. Let m be (-18)/(-10) + (-8)/(-40). Solve 6*y + 4*k = y, -m*k = -q*y for y. 0 Suppose -5*y + 17 = 2*h - 0*h, y - 2*h = 1. Suppose 0 = y*k + 2*t - 42, 3*t - 51 = -4*k + 2*t. Solve -5*p + j - 20 = 0, -4*j + k + 0 = -3*p for p. -4 Suppose 3*i + 2*i = -4*g + 127, 4*
{ "pile_set_name": "DM Mathematics" }
+ -3/3190. What is the common denominator of s and (2 - 174/32)*2? 8 Suppose -x - 5 = -21. Let u be 44/(-1 - 1/(-3)). Let s = -44 - u. What is the lowest common multiple of s and x? 176 Let y = 9275/4 - 2341. Calculate the common denominator of y and (-156)/(-5)*2/6. 20 Suppose -11*n + 8*n = -132. What is the common denominator of -31/6 and n? 6 Let v = -360 + 699/2. What is the common denominator of 95/2 and v? 2 Let h = 685211/27 + -25381. Find the common denominator of h and 68/15. 135 Let k = 191/3108 - -5/148. Let z = -563/42 - k. Let t = 1/68 - 719/340. What is the common denominator of t and z? 10 Let u = 32 + -240. Find the common denominator of 77/8 and u/24 + 4/2. 24 Let x = 193/66 + -8/33. Find the common denominator of -41/10 and x. 110 Let s = 4/825 + -10073/1650. What is the common denominator of s and 23/24? 120 Let f(m) = -m + 9. Let d be f(4). Suppose -3*k = 4*g + 26, 16 + 15 = -3*k - d*g. Let y = k + 10. What is the smallest common multiple of y and 11? 88 Suppose -17 = -5*y + 8. What is the smallest common multiple of y and 6? 30 Suppose 5864 = 3*p - 2050. Let w = -52739/20 + p. Calculate the common denominator of 43/4 and w. 20 Let j = -43/19 + -2/209. Let b = 18377/9 - 2044. What is the common denominator of b and j? 99 Suppose -t - 7 = -2*t. Suppose 7 = f - 0. Calculate the lowest common multiple of f and t. 7 Let i be -2 - (35986/(-60) - 0). Let o = 1784/3 - i. Calculate the common denominator of (2/7)/(12/217) and o. 30 Suppose 4*t - 13 = 3. Calculate the least common multiple of t and 3. 12 Let r be (7/13916)/((-6)/(-32)). Let f = r - -49163/14910. What is the common denominator of f and 85/6? 30 Let u = 16 + -10. What is the smallest common multiple of 4 and (u/(-15))/(1/(-5))? 4 Let x = 497/9 + -287/9. Calculate the common denominator of x and (-36)/(-9)*(-22)/10. 15 Suppose -u + 1 = 2*q - 1, 2*q = u - 2. Let j(a) = a - 7078. Let m be j(q). Let w = 99157/14 + m. What is the common denominator of w and -61/16? 112 Suppose 0 = -t + 196 + 196. What is the common denominator of 3/(-4) + t/(-80) and 93/20? 20 Let y = -341339/69420 - -2/5785. Let h = 2414323/558 - 38473/93. Let p = h + -3919. What is the common denominator of y and p? 36 Suppose 0 = -0*w - 4*w + 5*y + 32, 0 = 4*y + 16. Suppose 5*o = -5*r + 5, o + 13 = 2*o - 5*r. What is the least common multiple of o and w? 3 Let z = 36 + -26. What is the least common multiple of z and 5? 10 Let y be 3 + -1186*1/386. Let h = 19135/386 + y. Calculate the common denominator of -43 and h. 2 Calculate the smallest common multiple of 50 and 8/(-2) - (-7 + 1). 50 Suppose 0 = b - 5 - 5. Let d be (-1)/2 - 11/(-2). Suppose 2*k = -2*j - 2, -21 + 0 = -3*j + d*k. Calculate the smallest common multiple of b and j. 10 Let f be ((-6)/15)/((-1)/5). Suppose -3 - f = -i. Suppose 0*z = -i*z + 25. Calculate the smallest common multiple of 3 and z. 15 Suppose -4*b - 1 - 3 = 0. Let w be ((-455150)/(-66078))/b - 0. Let j = w - 3/3671. Calculate the common denominator of j and 49/9. 9 Let y(p) = p**3 - 5*p**2 + 4*p + 4. Let f be y(4). Suppose -f*k + 5*k = 20. What is the smallest common multiple of 10 and k? 20 Let l(y) be the third derivative of 1/120*y**6 + 0*y**4 + 1/3*y**3 + 4*y**2 + 0*y + 0 - 3/20*y**5. Calculate the smallest common multiple of l(9) and 3. 6 Let g(f) = 2*f - 10. Suppose 4*v - 39 = 33. What is the least common multiple of v and g(8)? 18 Let f be -21*2/24*10. Let a = f + 117/7. Find the common denominator of a and 32/(-112) - (-1366)/(-168). 84 Let d(i) = i**2 - 7*i + 2. Let m be d(7). Suppose -3*x = -m*x - 16. What is the lowest common multiple of x and (9/6)/(4/32)? 48 Let o = 7 + 9. Suppose 97*c = 93*c + 8. What is the smallest common multiple of o and c? 16 Let n be (-34)/153 - (-1304)/117. Let x = n - 2957/260. Calculate the common denominator of 31/6 and x. 60 Suppose -2*i + 5*i = -9. Calculate the least common multiple of 6 and i*(-4 - (3 + -3)). 12 Let g = 44 + -39. Let r = -4 + 15. Calculate the smallest common multiple of r and g. 55 Suppose -4*a - a + 30 = 0. Calculate the smallest common multiple of a and 14. 42 Let w = -78019/46442 - 4/2111. Let g(o) = -o - 4282. Let b be g(0). Let s = b - -25567/6. Find the common denominator of w and s. 66 Let x be (-1 - 45867/(-4137)) + -2. Let k = -11/197 - x. Let o = -965/2 + 467. Calculate the common denominator of k and o. 14 What is the common denominator of -63/10 and (-3)/(-15) - 115/10? 10 Let x = -218/5 + 45. Let q = 30732553/7371592 - 23/40063. Let p = q + 19/92. What is the common denominator of x and p? 40 Let a = -58 - -60. What is the least common multiple of a and 12? 12 Suppose 2*l - 98 = -5*f, 3*f - 3*l - 75 = -12. What is the smallest common multiple of 62 and f? 620 Suppose 0*f = f - 22. Suppose -5*h = 5*l - 0*l - 15, -3*h + 13 = -l. Suppose 3*u - 103 = -h*z, -2*u - 5 = -15. Calculate the least common multiple of f and z. 22 Let s = 4 - 0. Suppose -p - 27 = -5*g - s*p, -g = -4*p + 13. What is the lowest common multiple of g and 3? 3 Let a = 0 - 3. Let y be (-1)/a + (-7)/3. Calculate the least common multiple of 9 and 2/(-1) + y + 9. 45 Calculate the common denominator of 202/80 - (-14)/(-35) and 25/6. 24 Let p(w) = -w**2 - 1. Let c(l) = 12*l**3 + 3*l**2 + 2. Let a(v) = -c(v) - 2*p(v). What is the smallest common multiple of a(-1) and 5? 55 Let k = -20251/6992 - 18/437. Calculate the common denominator of 333/(-6)*(-1)/7 and k. 112 Suppose -2*i + 5 - 3 = 0. Let w be 18/(-8) - i/(-4). Find the common denominator of 13/(-6) + (w - 0) and 45/22. 66 Let n = 40 + -35. Calculate the least common multiple of n and 6. 30 Let l = 22 - 20. What is the least common multiple of l and 237/21 + (-4)/14? 22 Let j be (1 - -1458) + 1 + -1. Let q = -8713/6 + j. Find the common denominator of q and -7/12. 12 Find the common denominator of (2/4)/(22/319) and -119/12. 12 Let s be (11/(-22))/(2/(-12)). Find the common denominator of 57/10 and -2 + (-3 - (-61)/s). 30 Suppose -q - 8 = -2*q. Calculate the smallest common multiple of 20 and q. 40 Let c be 22/3*(-1 - 2). What is the common denominator of -3*2/c*7 and -26/3? 33 Let f = -217319 - -1074832/5. Let o = -2340 - f. What is the common denominator of -44 and o? 5 Let a(c) = -c**2 - 9*c + 7. Calculate the lowest common multiple of a(-9) and 4. 28 What is the common denominator of (-154)/(-6)*(-9)/60 and 59/2? 20 Let u = -2639149/496784 - 1/31049. Find the common denominator of u and 24/(-32)*(1 - -61). 16 Suppose -2*n - 2*n - 3*v + 42 = 0, -38 = -4*n - v. Suppose 2 = -w + n. What is the least common multiple of w and 7? 7 Let a = -75 + 115. Calculate the lowest common multiple of 44 and a. 440 Let z be -1*(-18 + 2 + 0). Let c = z + -8. Suppose -3*q = -3, -h + 29 = 3*h - 3*q. Calculate the smallest common multiple of c and h. 8 Suppose -4 = -2*d - 0*d. Calculate the lowest common multiple of d and 1. 2 Suppose -2 = 4*l + 2*h - 4, l + 3 = 3*h. Let o = -18163/10 + 1813. Calculate the common denominator of (-91)/8 - (1 + l) and o. 40 Let v = 5 + -46/9. Find the common denominator of v and 73/12. 36 Let g(p) = 19*p**2 + 2*p - 11. Let k be g(-9). Calculate the common denominator of -109/14 and k/(-16)*22/165. 84 Let o be 3/6*-1*-12. Let u = -145753/26740 - -1/1337. Calculate the common denominator of u and o/(-27) - (-2163)/(-108). 20 Let g = -2/5741 - -80396/63151. Find the common denominator of -73/10 and g. 110 Let r = -52913/18 - -2938. Find the common denominator of r and (-145)/(-21)*(-28)/24. 18 What is the lowest common multiple of 85 and 117/(-26)*(-2)/3 - -7? 170 Find the common denominator of -23/20 and 3 + (4/(-10) - (-106)/(-40)). 20 Let x(n) = -n**2 - 5*n - 3. Calculate the lowest common multiple of 2 and x(-2). 6 What is the common denominator of (-33)/6 + (-8)/12 and -137/6? 6 Suppose y - 18 = -y. Calculate the smallest common multiple of 3 and y. 9 Let b(s) = s**3 - 9*s**2 - 11*s + 7. Let x be b(10). Calculate the least common multiple of 7 and 1*(-2 - (-3 + x)). 28 Suppose -3*j = -5*j + 32. What is the smallest common multiple of 20 and j? 80 Let p(i) = i + 7. Calculate the smallest common multiple of 29 and p(-4). 87 Let w = -248/77 - 25/22. Calculate the common denominator of w and -19/30. 210 Let g = 856 - 2590/3. Let t = 7 + -2. Suppose q + t*s = 27, -5*q +
{ "pile_set_name": "DM Mathematics" }
implify (((y/y**(-1))/y*y/y**(-9))/(y**0)**(-14))**12 assuming y is positive. y**132 Simplify ((a*a**(-5)/a*a)/a*a*a*a*a**(-3/5)*a**0/((a/a**(-1/12))/a))**20 assuming a is positive. a**(-161/3) Simplify (j*j**(-2/3)*j**(-3/2)*(j**(-1))**(-11/5))**(7/4) assuming j is positive. j**(217/120) Simplify g**(-1/2)*((g**(1/23)*g)/g)/g*(g*g*g**10/g*g)/(g*g/(g**(-3)*g)) assuming g is positive. g**(301/46) Simplify ((o*o**(-11))/(o/(o/(o**(-4/7)/o*o))))/((o*o**(-11))/(o*o**3)) assuming o is positive. o**(32/7) Simplify ((r**(-6)*r*(r/(r/(r**7*r*r)))/r)/((r*(r/(r/(r/(r*r/r**(-8)*r))*r*r)*r)/r)/r*r/(r*r**(1/6))*r))**(4/11) assuming r is positive. r**(170/33) Simplify ((((o*o*o**(-2/9))/o*o)**(14/9))**17)**40 assuming o is positive. o**(152320/81) Simplify (i**(-10)*i)**6/((i*i*i**9*i)/(((i/(i*i/i**(-3/10)))/i)/i)) assuming i is positive. i**(-693/10) Simplify (p**2)**(1/7)*p/(p**(-11)*p)*p*(p*p/(p/((p**21/p)/p)))/p assuming p is positive. p**(219/7) Simplify (o/(o*(o**(1/4)/o)/o)*o/o**(-4/5)*o*o**3*o**(1/2))**(1/35) assuming o is positive. o**(23/100) Simplify (j**0)**(13/8)/((j**(-15)*j)/j**(-8)) assuming j is positive. j**6 Simplify (u**(-20)*u*u)/(u**28/u*u)*(u**(-2))**34 assuming u is positive. u**(-114) Simplify (y**(-16)*y**(2/29))**(1/20) assuming y is positive. y**(-231/290) Simplify (v/(v/v**5))**34/(v*v**(1/2))**(-1/6) assuming v is positive. v**(681/4) Simplify (g*g**(-12)*g*g*g**(-5/7)/g*g)/((g/((g/g**(-5))/g))/g**21) assuming g is positive. g**(107/7) Simplify ((i*i**8*i**(2/3))/(i**(-2/19)*i*i**(-2/7)))**(-2/53) assuming i is positive. i**(-7228/21147) Simplify ((t**(-2/5))**5*t/((t/((t/t**(-4))/t))/t*t)*t**1)**(-10) assuming t is positive. t**(-30) Simplify ((j/(j/j**(2/3))*j)/(j/(j/j**(1/6))))/(j**(-3/2)/j*j)**(-23) assuming j is positive. j**(-33) Simplify (f**5*((f/f**8*f*f)/f)/f*f**(1/7)/(f/(((f*f*f**(-5))/f)/f)))**(3/7) assuming f is positive. f**(-165/49) Simplify s*s**(-1)*s/(s/s**12)*(s*s**(1/4))**(-5) assuming s is positive. s**(23/4) Simplify (d**(-5)*d*d)**10*d**(1/2)/(d*d/(d/(d**(2/13)*d))) assuming d is positive. d**(-823/26) Simplify t*t*t**(2/15)*t**(1/16)/t*(t*t/(t**(-3/5)*t))/t**(2/13) assuming t is positive. t**(8243/3120) Simplify d**(1/14)*d**(7/5)*((d**(-9/8)*d)/d)/((d**(3/11)*d*d)/d) assuming d is positive. d**(-2853/3080) Simplify (p**(2/5)/(p/(p*p**(-4/15)*p)))/(p**(-3)/(p**(-11)/p)) assuming p is positive. p**(-118/15) Simplify (((((s*(s/(s**(-5)*s)*s)/s)/s*s)/s)/s)**(-1/23))**(-35) assuming s is positive. s**(140/23) Simplify ((g**(-3/4))**(-1/9)/(g**(-1))**(-22))**24 assuming g is positive. g**(-526) Simplify (u/((u*u**(-1/2)/u*u)/u))/(u/(u/(u*u**(-1/5)*u)))*((u/(u**15*u))/u)/(u/(u*u**(-9/5))) assuming u is positive. u**(-181/10) Simplify (q**21*q**(1/31))/((q/(q*q**(-6)*q))/(q**(5/12)*q)) assuming q is positive. q**(6491/372) Simplify ((a**(-1/7)/a**(22/7))**(-26))**(3/7) assuming a is positive. a**(1794/49) Simplify ((n*n**8)/n)**(-6/5)*(n*n**(4/3))/(n/((n**19*n)/n)) assuming n is positive. n**(161/15) Simplify (q/(q/(q/q**(-1/5))))**23/(q*q**(2/7)*q)**(-8/5) assuming q is positive. q**(1094/35) Simplify (v**(5/3))**(-17/2)*(v/(v**(-6/7)*v))**4 assuming v is positive. v**(-451/42) Simplify ((g**(1/18)*g**(-1/38)/g)**(-1/69))**(-29) assuming g is positive. g**(-4814/11799) Simplify (f**3)**(-1/2)/(f/f**7)**(2/153) assuming f is positive. f**(-145/102) Simplify (a*a*a**(-10)*a)**46*(a/(a*((a/(a**(14/9)/a))/a)/a*a))/(a/a**12) assuming a is positive. a**(-2794/9) Simplify (k*k**(-1/7)/k*k*k)**(-5/3)*k*k/((k**35*k*k)/k)*k**(-9/4) assuming k is positive. k**(-3305/84) Simplify (z**(3/22)*z*z/(z/(z**3*z)))/(((z**(5/3)*z)/z*z)/((z/(z**23*z))/z)) assuming z is positive. z**(-1421/66) Simplify (((y**(2/7)*y)/y*y**(3/2))/(y*y**(-1/4))**(-2))**44 assuming y is positive. y**(1012/7) Simplify (j**(6/5)/(j/j**(4/3)))/(j**(-3))**30 assuming j is positive. j**(1373/15) Simplify ((q*q**(-6)*q**5*q)**(-47))**35 assuming q is positive. q**(-1645) Simplify (p*p**10*p*p**39)**(-42) assuming p is positive. p**(-2142) Simplify (f/(f/f**(8/3)))/(f*f*f**(8/3)*f)*(f*(f*f/(f**(2/19)*f))/f)/(f*f*f*f**(-17)) assuming f is positive. f**(226/19) Simplify (y**8/(y/(y/y**6)*y)*y**8/y*y**2)**(3/13) assuming y is positive. y**(30/13) Simplify (((w*w*w/w**(-6/5)*w)**(-12/17))**(-28))**(6/31) assuming w is positive. w**(52416/2635) Simplify ((t*t**(-9)*t)/t*t**(2/35)*t*t**8*t/((t**(-4)*t)/t))**(3/17) assuming t is positive. t**(636/595) Simplify x**2*x**10*(x/x**(-10))**7 assuming x is positive. x**89 Simplify (h**(-2)*h*h**(-1/3))/(h**11*h**(1/7)) assuming h is positive. h**(-262/21) Simplify (((g*g**12)/(g*g**(1/5)))**(1/38))**27 assuming g is positive. g**(1593/190) Simplify ((w**12)**(-1/8))**(40/7) assuming w is positive. w**(-60/7) Simplify (((g**(-10/3)*g*g*g)/g)/g**(-6/7))**23 assuming g is positive. g**(-230/21) Simplify ((o**(2/3)/o)**(-15)*o**(-1)/o**(-5))**9 assuming o is positive. o**81 Simplify (s**(-11)*(s*s**7*s)/s)**(-13) assuming s is positive. s**39 Simplify (r*r**(1/11)*r/(((r/((r/(r**(4/7)/r)*r)/r))/r)/r))/(r*(r*r*r**(-3/7))/r*r**(-16)/r) assuming r is positive. r**(1536/77) Simplify (l**(-10)/(((l/((l*l**2)/l))/l)/l))/(l*l**(-1/3))**(-1/30) assuming l is positive. l**(-314/45) Simplify (b*b/(b/b**(-1/29)))/(b*b**(-10)*b)*b**(-9/5)/b*b*b*b**(-4)*b*b assuming b is positive. b**(894/145) Simplify u**(-1/22)*(u*u*u**(-1/13)*u)/u*(u**(-16)*u)/(u*u/(u*u/u**(-5/4))) assuming u is positive. u**(-6791/572) Simplify (r*(r**(-4/7)*r)/r*r*r*r**6)/(r*r**(-2))**(-49) assuming r is positive. r**(-284/7) Simplify ((p**(-2)*p*p)**(-25)*(p*p*p*p**(-6))/p**(1/3))**(21/2) assuming p is positive. p**(-35) Simplify ((o**(6/7))**(-3))**(-2/35) assuming o is positive. o**(36/245) Simplify (((y/(y**2/y))/(y**(-3)*y))/(y*y*((y*y**(-6/5))/y)/y*y*y*y*y**(1/4)/y*y))**45 assuming y is positive. y**(-189/4) Simplify (w**(1/6)*w*(w*w/w**(-34)*w)/w*w*w*w)**20 assuming w is positive. w**(2410/3) Simplify o**(4/7)/(o/(o*o**(-27)*o))*(o/o**(-8))**(24/5) assuming o is positive. o**(622/35) Simplify (((o**2)**44)**(-18))**(-20) assuming o is positive. o**31680 Simplify (b/(b*b*b/(b/((b/(b*b**(-2/29)))/b)))*b/(b*b/((b/((b**(7/4)/b*b)/b))/b)*b))/(b**(-7)*b/((b**(5/4)/b)/b)) assuming b is positive. b**(141/58) Simplify (r**(-2))**42*(r/(r*r/(r*r**(1/15))*r*r*r)*r)/(r*(r*r*r**6)/r) assuming r is positive. r**(-1409/15) Simplify (p**2/((p/(p*p/((p/(((p*p**(5/4))/p*p)/p))/p)*p))/p))/(p**17*p**(-7)) assuming p is positive. p**(-15/4) Simplify (l/(l*l**(-2/13)/l*l)*l*l**17)/(l**(-1/5)/l)**7 assuming l is positive. l**(1726/65) Simplify ((j**9*j*j*j**(2/5))/(((j/((j**(-3)*j)/j))/j)/j)**(-2/11))**(1/84) assuming j is positive. j**(647/4620) Simplify (q**(-14))**(-1/40)*q**(-18)*q*q*q**(9/2) assuming q is positive. q**(-223/20) Simplify (z/(z*z**(-1/2)*z))/((z**(1/3)/z)/z*z)*z*z**(-2/15)*z*z**14 assuming z is positive. z**(481/30) Simplify (v**(-1))**(-36)/(v*v**(-1/9)*v**(-7)) assuming v is positive. v**(379/9) Simplify (c/c**(-2/3))/c**(1/21)*(c**(-2/3)*c*c*c)**(4/19) assuming c is positive. c**(842/399) Simplify ((j*j**(-2/27))/j**8)/(j**0)**(-23) assuming j is positive. j**(-191/27) Simplify k**(10/7)/(k/k**(-2/9))*k**(1/9)*k**(-10) assuming k is positive. k**(-610/63) Simplify l*l/(l/(l/l**(-7/4))*l)*l*l*l**(-13)*l**(-1/6)*l**(2/11) assuming l is positive. l**(-1087/132) Simplify ((z*z**(1/6)*z**2)/(z**(-1/6)/z*z/(z*z*z**(3/5)*z)))**(-1/10) assuming z is positive. z**(-52/75) Simplify ((((((k**(-3/4)*k*k)/k)/k)/k*k)/k)/(k/(k/(k*k**(2/7)*k))))/((k*k/((k/k**(-14))/k))/k**(1/2)) assuming k is positive. k**(237/28) Simplify (k/(k/(k/k**(-5))))**40/(k**(2/13))**(-42) assuming k is positive. k**(3204/13) Simplify (m/(m/((m**(-3)/m)/m)))**(-49/5)/(((m/(((m**8*m)/m)/m))/m)/m*m)**(-18) assuming m is positive. m**(-77) Simplify (z**(-10)/z)**(-1/67)/(z**(3/5))**(-1/46) assuming z is positive. z**(2731/15410) Simplify (m**(-4/5)/m)**21/((m/(m/(m**(1/14)/m)))/(m*m*m**(-6)*m)) assuming m is positive. m**(-2791/70) Simplify (u**(-3/5)*u)**(3/20)/(u*u/(u**(-1/14)*u))**(-26) assuming u is positive. u**(9771/350) Simplify (o**(2/19)*o*o**(4/17))/(o**(6/7)*o*o**(1/2)*o) assuming o is positive. o**(-9119/4522) Simplify (p**(-1/15)/(p/(p*p*p**(-13))))/((((p*p*p**(15/4)*p)/p*p)/p)/(p*p**
{ "pile_set_name": "DM Mathematics" }
= -2*a + 29. Let u be o(-14). Let d = u - 56. Suppose 2*y + 2*y - d = l, 4 = 5*y - 4*l. Solve 5*z = s + 2*z - 5, z + 3 = y for s. -4 Let s be 16/(-2)*(2 + (-5)/2). Suppose 8*b - s*b = -144. Let i be 5*(2 + b/15)/(-1). Solve 0 = n - 5*t + 3 - 27, -i*n - 4*t - 8 = 0 for n. 4 Let f = -27 + 29. Let t be 3 + (-2 + 4)/((-2)/f). Let x be 0 + (3/1)/t. Solve -2*m - x*l = 0, 0 = -4*m - 4*l - 4 - 0 for m. -3 Let t be (6/6)/((-1)/(-4)). Suppose f = -2*y, t*y = f - 1 - 5. Let h(l) = 30*l**2 - 2. Let m be h(y). Solve -4*q = -12, -3*c + 3*q = -7 + m for c. -4 Suppose -15*c + 13*c + 4 = 0. Suppose 31 + c = 11*d. Solve -2*r = y - 0*r + d, 3*r + 22 = 2*y for y. 5 Suppose 11*m = 2*m + 783. Suppose -3*a + m = 4*y - 0*y, -3*a = -3*y + 60. Suppose y = 5*o + 11. Solve -o*j = -5*s + 10, -25 = -4*s - s + 5*j for s. 0 Let p = -1155 - -425. Let m = 735 + p. Solve 4*h + m*r = 0, 4*h = h + r + 19 for h. 5 Let y(w) be the second derivative of 20*w**3/3 - 197*w**2/2 - w - 146. Let k be y(5). Solve i = 2*q + 6 - 2, k*q = -6 for i. 0 Suppose 109 = 4*j + 1. Suppose 5*p = 33 + j. Solve -2*m = 3*y - 3 - 0, 0 = 5*y + m - p for y. 3 Let b(p) = 3*p**2 + 7*p - 50. Let l(t) = 2*t**2 - 17*t - 26. Let y be l(10). Let u be b(y). Solve -4*c - 2*g - u = 0, -5*c - 25 = 5*g + 20 for c. -4 Let p be -6 - (6 - 68*7/28). Solve -2*f = p*r - 16, 5*f - 3*r + 2 = -20 for f. -2 Let r = 797 - 460. Let o = r + -332. Solve 3*b - g - 13 + 2 = 0, -2*b = -o*g - 16 for b. 3 Suppose 55*g + 14028 = 41*g. Let f be (-6)/(-20) + g/(-60). Solve -3*q - 2*k = -2*q - 1, 5*q - f = 2*k for q. 3 Suppose 3*a = -h + 5, 0 = 3*a + 36*h - 41*h + 7. Suppose -3*y - 2*m + 5 - 2 = 0, 4*m = -12. Let t = y + -3. Solve a = j, o + 0*j + 4*j = t for o. -4 Let d = 1525 - 1470. Suppose 2*u - 9 + 111 = 0. Let v = d + u. Solve 12 = v*a - 4*k, -k + 5 + 12 = 3*a for a. 5 Let t(v) = -24*v**3 + 2*v**2 + 2*v + 1. Let z be t(-1). Suppose -23*q = -z*q + 8. Suppose -q*f = -10*f + 96. Solve -k + 3*k = 4*o + f, 3*k - 2*o = 16 for k. 4 Suppose 23*h = -34 + 116 + 194. Solve -7*n - 2*l = -h*n - 23, -4*l = 2*n - 10 for n. -3 Let u(x) = -2*x**3 - 78*x**2 - 147*x + 41. Let f be u(-37). Solve -3*i + 5 = -f*m, m - 16 = -0*m - 5*i for m. 1 Let o be ((49 + -7)/7)/2. Let r = 1866 - 1862. Suppose 0*p - 5*u - 5 = p, -5*u = 4*p + 5. Solve 9 = -o*h + 2*b - p, -r*h = b + 12 for h. -3 Suppose 0 = -2*f - 2*t + 10, 67 - 63 = 2*t. Solve -17 = 8*q - 5*q - 4*b, 19 = 4*q + f*b for q. 1 Suppose 5*y + 20 = 4*b, -b + 0*y + 5 = 2*y. Let h = 119 + 48. Let m = h - 164. Solve m*g = g + b*t - 31, 2*g + 11 = t for g. -3 Let z(d) = -10*d**2 - 1. Let l be z(3). Let m = l + 137. Let x = m + -46. Solve -5*f - 3*w + 21 = -7*w, x = -2*f + 5*w + 5 for f. 5 Let f = 23 - 3. Let m(t) = 38 - 3*t + 2*t - 3*t - 4*t**2 + 5*t**2 - 10*t. Let p be m(3). Solve -f = -x + p*h - 1, -2*x + 5*h + 18 = 0 for x. -1 Let p(f) = 3*f**2 + 149*f + 149. Let y be p(-1). Solve -2*h - 10 = -0*h + 2*w, 0 = -y*h + 2*w for h. -2 Let d(u) = -u**3 - 2*u**2 + 2*u + 1. Let z be d(-3). Solve -2*s = 3*p + 5, -s - p - z + 2 = 0 for s. -1 Suppose 3*m + t + 44 = 0, -4*t - 72 = 5*m - 2*t. Let h be 1*m/(-144) + 70/18. Solve 0 = 2*k + 2*d + 11 + 5, -3*d = -4*k - h for k. -4 Let b(s) = -s**3 + 45*s**2 - 91*s + 219. Let p be b(43). Solve 2*k - p*g = 5*k, -2*g = -3*k - 18 for k. -4 Suppose -69*f = -66*f - 15. Solve -f = -s + d, 3 = -s + 5*d + 8 for s. 5 Let j(i) = i**3 - 6*i**2 + i. Let s be j(6). Let u be (180/(-63))/((-14)/(-49)). Let v be 5 - u - (s/3 + 0). Solve 2*o - 5*o - v = r, -5*r = -4*o + 8 for o. -3 Let z = -449 - -214. Let w = 241 + z. Solve 2*g - w*b = -3*b - 2, -g - 5*b - 1 = 0 for g. -1 Suppose -2*w - 46 = -2*z, -3*z + w + 59 = -0*w. Suppose 8*i - z = -i. Solve -5*d - 4*l + 3 = -7, 3*d - i*l + 16 = 0 for d. -2 Let d(u) = 24*u + 770. Let p be d(-32). Solve 5*c = 16*o - 18*o + p, -5*c - o = -6 for c. 2 Suppose 7*l - 41*i = -36*i - 17, 3*i = -2*l + 35. Solve -3*c = -5*f, -5*c = -l*f - 2*c for f. 0 Let s(k) = 12*k + 13 + k**3 - 18 + 5*k - 4*k - 10*k**2. Let p be s(9). Solve -3*y = -5*j - p, -3*j - 11 - 2 = y for j. -5 Let n = 410 + -390. Suppose n*f = 16*f. Solve f = -5*h - 4*c + 3, -5*h - 3*c + 2 = -h for h. -1 Let b = 5500 - 5500. Solve b = 4*k, 3*t + 18*k = 13*k + 6 for t. 2 Let u(c) = -49*c + 103. Let j be u(2). Solve -j*a = -20*o + 19*o + 18, -2*o + a = 0 for o. -2 Let l = -56 + 66. Suppose -k + 5 = 1. Suppose -x - 7 = 5*p - 30, 22 = k*p + 2*x. Solve 0*m = m - p*u + l, -4*u + 2 = -5*m for m. 2 Let m = -4956 - -4959. Solve 2*n + m - 6 = -o, 5*n + 5*o + 5 = 0 for n. 4 Let m be (-2)/25 - 63756/(-6325). Solve -2*g + 15 = b, -3*g - m = 5*b - 43 for g. 6 Let k(j) = 117*j + 3982. Let r be k(-34). Solve -r*g = -5*p - 8 + 2, 0 = 4*p + 2*g + 10 for p. -2 Let k = 356 + -18. Let y = k + -334. Solve -v - v - 2*q - 10 = 0, y*v + 5*q + 24 = 0 for v. -1 Let f = -3151 + 3166. Solve 0 = -3*h + 6, -f*h + 12*h = 4*z - 22 for z. 4 Let y = 97 + -95. Suppose y*x - 150 = -13*x. Suppose -x = -p - 10. Solve -4*t = -u - 3*u + 12, u + 2*t + 9 = p for u. -1 Suppose -4*j = 36, 5*g = 2655*j - 2653*j + 43. Solve 9 = g*f - 3*m, -263*f + 267*f = -3*m - 9 for f. 0 Suppose 2*f = -4*n + 24, -5*f - 5*n + 7 = -28. Suppose 14 + 26 = f*a. Solve -3*u = -3, 0 = -4*h + 2*u + 2*u - a for h. -4 Let q be 324/48*12/(-1). Let v be (10/6)/((-27)/q). Let l be (-4)/(-22) - 40/(-22). Solve -v*r + l*p = -1, -p + 4 = r + r for r. 1 Let c(g) = g - 27 + 8*g + g**2 - 5*g. Let v be c(-8). Suppose v*q - 6 = -2*x - 2, 5*x - 10 = -2*q. Solve i + x*o - 12 = 6*o, -18 = -5*i - o for i. 4 Suppose -318*u - c = -322*u + 169, -5*u - 2*c = -221. Solve -q + 4 = w, -q - 37 = 3*w - u for q. 3 Let w = -8025 - -8029. Solve 2*o = -3*a + 87 - 89, -w*a = -2*o + 26 for a. -4 Let h = 30 - 16. Suppose h + 4 = 9*u. Solve -3*g = u*l - 0*g + 14, 5*g = -20 for l. -1 Suppose -818*g + 2122 = -332. Let p = 6 - -5. Solve 0 = -t + r + 2 - p, -g*r = -12 for t. -5 Suppose 5*r + 4*n - 7 = 0, -9 = -3*r - 5*n + 3. Suppose -14*o - 72 = 10*o. Let t be 8 + (o - r) - 1. Solve -t*l = -3*p + p + 30, -4*l + 9 = 5*p for p. 5 Suppose 0 = 111*d + 41*d - 5*d - 735. Solve 0 = -d*c - h - 17, 5 - 13 = 4*h for c. -3 Let k be 69/(-7) + 192/224. Let r(o) = -o - 5. Let v be r(k). Solve 4*c = 5*x - 3*x + 20, 0 = -3*c - v*x - 7 for c. 3 Let s be -1 + -8 + 8 + 1 + 3. Solve 0 = 5*i - 3*m - 28, -23 = -4*i - s*m - 6 for i. 5 Suppose 90*u - 761 = -221. Solve -2*v = -10, 2*v - 6 = 2*g + u for g. -1 Let a be 14 - (0 - (7 - 5)). Suppose 0 = a*c + 6*c - 132. Solve 5*m + 9 = 2*s + c*m, 3*m - 2 = -s for s. 5 Let f(p) be the second derivative of -p**5/20 + 11*p**4/12 + 13*p**3/6 - 7*p**2/2 - 13*p. Let m be f(12). Solve m*k + 2*x = 20 - 1, 4*k = -4*x + 8 for k. 5 Let q = 4 - -1. Let j be 11/(33/15) - (-2 + -8). Suppose -7*s = -3*s + 3*z - 12, 3*z = q*s - j. Solve -n - s*l = -5*n + 31, 4*n + 4*l = -4 for n. 4 Let x = 1060 + -1045. Let a(z) = 8*z + 5. Let s be a(5). Suppose -j = x - s. Solve 5*u + 4*m = 9, 0*u + 5*m = 2*u - j for u. 5 Suppose -62 - 260 = -161*u. Solve u*x + 5 = -4*f + 35, -5*x + 2*f + 15 = 0 for x. 5 Suppose -b - 2*m - 477 = -487, 2*m + 6 = 3*b. Solve -b*u = -5*g, 13*u = 12*u + 3*g + 7 for u. -5 Let f(p) = -2*p + 24. Let g be f(12). Let o be -2 - (-8)/5 - 170/(-50). Solve -3*u - 12 = -3*w - g*u, w - o*u - 6 = 0 for w. 3 Suppose 5*d = -8*i + 5*i + 61, d - 65 = -5*i. Suppose i = 8*p - 36. Solve -2*n = 2*m + 6 + p, -2*n - 14 = 4*m for n. -5 Let w(o) = o**3 + 4*o**2 - 24*o - 6. Let i be w(4). Solve -c - 5*l = i + 2, -4*c = -3*l - 3 for c. -3 Suppose -3*w - w + 36 = 0. Suppose 0 = 2*m - 4*p + 9*p + 187, 0 = -3*m + 5*p - 318. Let s = -95 - m. Solve -13 = 4*o + n, -3*n = -s*o + 3*o + w for o. -2 Let x(f) = f**3 + 3*f**2 + 17. Suppose -2*a + 22 = -3*b, -3*b = -4*a + 35 - 3. Let l be x(b). Solve -h = 4*y - 9 - l, 2*y + 5*h = 14 for y. 2 Suppose 0*q = 3*q + 57. Let a be q - -15 - 2*1. Let k(l) = -2*l**3 - 12*l**2 + 4. Let j be k(a). Solve -s - d + 5*d - 1 = 0, j*s = -3*d - 4 for s. -1 Suppose -2497*q + 2498*q = 0. Let p be 714/189 + 2/9. Solve o - p*v + 2*v - 5 = q, -4*o - 2*v = 0 for o. 1 Let l be 208/3 + (14/(-3))/(-7). Solve -2*b + 32 = -5*a, -5*a = -l*b + 72*b + 8 for b. 6 Suppose 19*r - 14*r + 30 = 0. Let k be (-1)/(-3) + 2/r. Suppose k = 4*m - u - 15, 1 = -m - 2*u + 7. Solve 2*o = -2*h + m*h + 12, -3*h - o + 2 = 0 for h.
{ "pile_set_name": "DM Mathematics" }
196, 282, 362? 436 What is next in -499, -506, -523, -556, -611, -694, -811, -968? -1171 What is next in 83, 308, 679, 1190, 1835, 2608, 3503? 4514 What is the next term in -129, -176, -255, -366, -509, -684? -891 What is next in 34, 125, 274, 481, 746, 1069? 1450 What comes next: 1093, 1112, 1143, 1186, 1241, 1308? 1387 What is next in -7, -40, -105, -202, -331? -492 What comes next: -16, -15, -14, -13, -12, -11? -10 What is next in 0, 5, 24, 63, 128, 225, 360? 539 What is next in 15, 16, 15, 12? 7 What is next in -11, -39, -53, -47, -15, 49? 151 What comes next: 432, 431, 430, 429, 428, 427? 426 What is next in 55364, 55363, 55362? 55361 What is the next term in 112, 113, 112, 109, 104, 97? 88 What is next in -1118, -2232, -3346, -4460, -5574, -6688? -7802 What comes next: -40, -75, -158, -313, -564, -935? -1450 What is the next term in 9, 6, 1, -6, -15, -26? -39 What is next in -1157, -1159, -1161, -1163, -1165, -1167? -1169 What is next in -1199, -2397, -3593, -4787, -5979, -7169, -8357? 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{ "pile_set_name": "DM Mathematics" }
= h - 5*h + 5*d, 5*h - 3*d = 32 for h. 4 Solve -2*m - f = -4*m - 3, -2 = -2*f for m. -1 Solve -5*n = 4*s - 36, -3*n + 8*n = -5*s + 40 for s. 4 Solve -t - 1 = a + 8, 3*a + 5*t + 35 = 0 for a. -5 Solve -2*r + 2 = 4*i, -5*r - 3*i - 11 = 5 for r. -5 Solve 18*s + 5*f = 20*s + 20, -2*s + 3*f = 16 for s. -5 Solve -2*b - f = 3, -2*f - 10 = -4*f for b. -4 Solve -5*y - 1 = -3*d + 18, 0 = -3*d - 6 for y. -5 Solve 4*f - 3*g = -8, 2*f - 13 = 5*f - 4*g for f. 1 Solve 4*c - n + 4 + 9 = 0, 4*c = -3*n - 9 for c. -3 Solve -27*u = -30*u - 4*b - 11, -3*u = -3*b - 24 for u. 3 Solve i + 4 = 3*s, -3*i = 3*s - 4*s + 4 for s. 1 Solve n = -n - 2, 4*n = 5*z + 21 for z. -5 Solve 9 = -i - 3*m, -2*i + 3*m = 2*m - 3 for i. 0 Solve 83 = -4*u - 4*b + 95, 4*b = -4 for u. 4 Solve -4*w + 0*x + 3*x + 20 = 0, -4*w - 2*x + 20 = 0 for w. 5 Solve -4*u - 27 = 5*z + 2, -2*u = 2*z + 12 for z. -5 Solve -u + 5 = -2*h, -4*u + 5 = -h - 2*h for h. -3 Solve -w + 2*w - 3 = 0, -4*w + 37 = 5*b for b. 5 Solve 0 = -3*x - 4*k - 6, -2*x - 4*k + 3*k = -1 for x. 2 Solve 9 = 4*m - b, 5*b - 12 + 9 = 4*m for m. 3 Solve -4*p - 10 = d, 6*d = d + 2*p - 6 for d. -2 Solve -5*f - 5*n + 15 = 0, -4 = -4*n - 0*n for f. 2 Solve -h = 2*a - 7, 0 = -5*a + 10*a - 2*h - 13 for a. 3 Solve -5*i - 2 = -2*b, 4*b + 3 = 4*i - 5 for i. -2 Solve -2*f - 20 = -5*a, f + 6 + 7 = 4*a for f. -5 Solve 2*c - 14 = 4*b - c, -2*b + 2*c = 8 for b. -2 Solve -t - 4*n + 2 = 13, 14 = 2*t - n for t. 5 Solve -h = -4*s + 13, -4*s - 4*h + 2*h = 2 for s. 2 Solve 4*v - 7*y + 28 = -11*y, -3*v - 11 = -2*y for v. -5 Solve 15 = o + 3*x, 5 = 15*o - 20*o + x for o. 0 Solve 5*h - 4*h = j + 2, -3*h - 4 = -j for j. -5 Solve 4*g + 18 = 2*c, -c + 8 = -g + 3*c for g. -4 Solve -3*l - 2*t - 10 = 0, -l + 2*t + 39 = 29 for l. 0 Solve 4*f - 36 = -4*l, -16*f - 2*l + 36 = -11*f for f. 6 Solve -v = -2, 62*v = 4*a + 63*v + 14 for a. -4 Solve -4*j + 873*w = 877*w + 20, -5*j + 3*w - 17 = 0 for j. -4 Solve -6*x + x - 8 = 4*w, w + 2 = -x for w. -2 Solve -3*q = j + 4, 0 = -3*q - 4*j - 15 - 1 for q. 0 Solve 0 = 5*u + 5, -d - 11*u + 9 = -16*u for d. 4 Solve g - 4*w + 0 = -17, -3*g = 4*w - 13 for g. -1 Solve 0 = -g + 4, 0*c - 3*g + 10 = 2*c for c. -1 Solve -2*c = 4*x - 2, -4*x - 3 + 2 = c for x. -1 Solve -g - 11 = 3*q, -9 = 51*q - 48*q for g. -2 Solve -2*g - 3*m = 7, g - 4 = m - 0 for g. 1 Solve -4*p - c + 6 = 0, 2*c = c - 2 for p. 2 Solve 5*p - 19 = -2*c, -8*p + 14 = -4*p + 2*c for p. 5 Solve -4*f = -2*d - 22, -3*d + 6*d = -3 for f. 5 Solve 7 = -t + 32*q - 34*q, 4*t = -5*q - 22 for t. -3 Solve -5*g - 4*o = 40, -3*g + 0*o + 8 = -4*o for g. -4 Solve -v - 59*j = -54*j - 24, -5*v + 5*j - 30 = 0 for v. -1 Solve 0 = 4*x + 7*y - 12*y + 16, 4*x + y + 16 = 0 for x. -4 Solve -4*z - 16 = -g + 4, 3*g - 32 = 5*z for z. -4 Solve 5*w + 10 = -5*g, -3*g - 5 - 3 = 4*w for g. 0 Solve 2*r + 2*v = -2, 6*r - v - 7 = 5*r for r. 3 Solve 2*x + 3 = -32*a + 33*a, 4*x - 3*a + 3 = 0 for x. -3 Solve d - 3*o - 7 = 2*d, -4*d + 36 = -4*o for d. 5 Solve 5 = -3*v - 3*r - 7, -4 = v - 2*r for v. -4 Solve l - 3 = -4*w, -w - l - 1 = l for w. 1 Solve 0 = -2*b + b - 5*g + 11, -b + 4*g - 7 = 0 for b. 1 Solve 3*q + 9 = 0, 9*q - 7*q + 9 = l for l. 3 Solve -3*g = 5*u - 10, 0 = -4*u + 5*g + 12 - 4 for u. 2 Solve q + k = 3*q + 9, -4*q + 3*k - 23 = 0 for q. -2 Solve n + 13 = -4*y, -2*y = 7*n - 5*n + 2 for y. -4 Solve l - m + 7 = 9, 0 = 4*m + 12 for l. -1 Solve -3*i - 5*l = -39 + 8, i - 4*l = -18 for i. 2 Solve -9*r = -8*r - 5, 45 = 5*u + 4*r for u. 5 Solve 0 = -3*s - 2*p - 313 + 306, p = 4 for s. -5 Solve d + 24*n - 28*n = -18, 2*n - 14 = -2*d for d. 2 Solve -4*f - 3*l + 29 = 0, 4*l = -0 + 12 for f. 5 Solve 11 = -4*a + 3*z, 3*a + z + 0*z = -18 for a. -5 Solve -2*t - 1 = 5*j, j = t + t - 5 for t. 2 Solve -4*j + 1 = 2*v - 7, -3*v + 6 = 3*j for v. 0 Solve 3*l - 4*g = -29, -l + 3*g + 7 = 25 for l. -3 Solve -19 = -5*k + 3*t, 3*k - 43*t = -44*t + 3 for k. 2 Solve t - 8*d + 8 = -5*d, 0 = 5*t - 5*d + 10 for t. 1 Solve 4*c + 4*v = 0, -5*c + 2*v - 42 = -14 for c. -4 Solve -36 = 6*t - t + 4*f, 0 = 4*t - 5*f - 4 for t. -4 Solve -20 = -4*b + 2*g, -8 = -g + 3*g for b. 3 Solve 3*d = 4*b - 21, 148*b - 143*b - 30 = 5*d for b. 3 Solve -4*q = i + 15, 0 = 2*i - 7*i - 2*q - 3 for i. 1 Solve -5*p + 0*s = -4*s - 16, 2*p - 20 = 5*s for p. 0 Solve -4*s - 5*a + 16 = -3*s, -3*s + 3*a - 6 = 0 for s. 1 Solve -4*f - 4 = -w - 15, 3*w + 6 = 3*f for f. 3 Solve 5*x = -5*n - 10, 4*x - 7*n + 2*n - 28 = 0 for x. 2 Solve 13*o + 3*b = 10*o + 9, 3*o - 5*b = -23 for o. -1 Solve 0 = -k + j + 9, 7*k + 39*j - 39 = 40*j for k. 5 Solve 10 = 2*t - 5*v + 3, 2*v + 2 = 0 for t. 1 Solve f - 4*f + 4*u = 17, u = 2 for f. -3 Solve 4*j - r + 7 = -1, 0 = 4*j + r + 8 for j. -2 Solve -3*o - 2*n - 4 = 0, -o + 17*n - 12*n - 24 = 0 for o. -4 Solve 0 = -5*y - 5*f - 20, -13*f = -10*f + 15 for y. 1 Solve -16 = 3*b + 2*l, 40*l = 44*l + 8 for b. -4 Solve -2*b = 2*r - 2, -11 = -5*b - 4*r - 3 for b. 4 Solve 4*a = -7*v - 12, 3*v + 9 = 50*a - 53*a for a. -3 Solve -2*k + 8 = -3*k + 4*v, 5 = 2*k - v for k. 4 Solve -3*a = -5*w + 25, -31*w - 2*a - 12 = -32*w for w. 2 Solve -2*d = -7*d - 15, -5*d - 5 = -2*k for k. -5 Solve -3*g = l - 2, 26*g - 3*l + 14 = 27*g for g. -1 Solve 3 = 5*n + 2*l, -5*n + 14 = -5*l + 4 for n. 1 Solve -4*b - 8 - 6 = -g, 0 = -4*g + 5*b + 23 for g. 2 Solve 26*l - 4*v = 23*l - 19, l - v = -5 for l. -1 Solve -2*k + 5*m + 4 + 2 = 0, -5*k - m - 12 = 0 for k. -2 Solve -4*x = 4*d - d - 9, -d = -x + 4 for d. -1 Solve z - 14 = 3*j, 647 = 5*j + 662 for z. 5 Solve -11 = -52*d + 56*d + 3*m, 0 = -m + 3 for d. -5 Solve 11 = 4*q - 3*s, q - 2*q + 2 = -s for q. 5 Solve 3*a = -3*i - 9, 3*a - 3 = 6*a + i for a. 0 Solve v = -2*b - 10, 21*v - 23*v = -3*b - 15 for b. -5 Solve 0 = 5*x + 2*u - 23, 3*x - 5*x - 2 = -2*u for x. 3 Solve 15*y - 13*y + 23 = -5*c, 5*c - 5*y + 30 = 0 for c. -5 Solve -2*q + 7*w = 11*w, 5*q + 3*w = 0 for q. 0 Solve 35 = 5*z + k + 4*k, 2*z + 5*k = 29 for z. 2 Solve 7*f - 16 = -5*g + 3*f, -2*g = f - 4 for g. 0 Solve -2*q - 2*r = 8, 2 = 3*q - 4*r + 14 for q. -4 Solve u + 2 = -q + 6, 5*u - 3*q - 20 = 0 for u. 4 Solve -3*l = -2*y - 8*l - 35, 3*y - 5*l = 10 for y. -5 Solve 18*k = 3*o + 19*k - 14, -2*k + 12 = 2*o for o. 4 Solve -2*o + 4*h - 6 = 0, -11*o = -6*o + h + 15 for o. -3 Solve -2*h + 5 = 3*n, 4*n = -5*h + 6*n - 16 for h. -2 Solve -5*h = -2*q + 4 + 24, 3*h = 2*q - 20 for q. 4 Solve 3*s - x - 2 = 0, 0 = 8*s - 13*s + x for s. -1 Solve -4*u - i - 21 = 0, -3*i - 2*i + 5 = -2*u for u. -5 Solve 15 = -h - 3*r, 4*h - r - 7 = 5*h for h. -3 Solve -2*k - 2 = -5*z + 14, 4*k = 8 for z. 4 Solve -5*k + 4*u = -9*k + 16, 4*k - 4*u = 0 for k. 2 Solve 0 = -5*v - 4*i - 11 + 4, 2 = 2*v + 4*i for v. -3 Solve -2*p = -c + 4 - 11, 2*p - 2 = 0 for c. -5 Solve -23*m + 10 = -28*m - 3*j, 3*j = -4*m - 5 for m. -5 Solve 5*i + 2*y + 11 = -3, -2*y = -3*i - 18 for i. -4 Solve -r + 2*q = 0, q = -3*r - 3*q for r. 0 Solve 12 = -2*x - 2*u, 18*u - 14*u + 32 = 4*x for x. 1 Solve -v = h + 8, 7*v - 10*v = -4*h + 3 for h. -3 Solve 2*g + 2 = 0, -5*z - 1 = -4*g + 15 for z. -4 Solve -6 = 2*z + 4*x - 2, z = -4*x - 8 for z. 4 Solve 0 = -5*v + z + 16, v - 3*z + 14 - 6 = 0 for v. 4 Solve 5*b - f + 2 = 0, -b - 2*f = -2*b + 5 for b. -1 Solve -3*w + 19 = -4*o, 0 = 5*o + 3*w + 26 - 9 for o. -4 Solve -2*x = t + 9, -8*t + 11*t + 23 = -5*x for x. -4 Solve 0 = -5*w - 4*j + 45, 2*j = 4*w - 5 - 5 for w. 5 Solve 2*x = -3*u - 4, 5*x = 4*u + 266 - 276 for x. -2 Solve -3*y - 22 = -5*p, -14 = -4*y + p - 15 for y. 1 Solve 2*w + 1 = y, -2*y + 5*w - 103 + 104 = 0 for y. 3 Solve 2*s - 11 = -s - j, -3*s - 4*j + 26 = 0 for s. 2 Solve -3*b - 10 = -5*i, -5*i = -4*b + 7 - 22 for b. -5 Solve -20 = -x - 3*a - 0, 0 = -a + 5 for x. 5 Solve 5*k + 30 = 2*t, 5*k - 7*k - 2*t + 2 = 0 for k. -4 Solve 22*c - 19*c - 25 = 5*y, 5*c - 2*y - 10 = 0 for c. 0 Solve 2*x + 8 = f, 0 = 2*f + 4*x - 2 + 26 for f. -2 Solve 0 = t + 3*j + 7, 0*t = 4*t - 2*j for t. -1 Solve 15 = -5*b, -6*v + 2*v + 5 = -3*b for v. -1 Solve 5*h + 4*s = -2, -16*s + 18*s + 8 = h for h. 2 Solve 9*a - 4*a - 32 = -4*q, -1 = -4*a + 5*q for a. 4 Solve -4 + 19 = 5*n, 5*n = -k + 14 for k. -1 Solve 0 = -2*b + 3*i + 24, -3*b + 2 = 3*i - 4 for b. 6 Solve 3*j + 3*r - 9 = -0*r, j = -5*r + 19 for j. -1 Solve 7*r + 8 = 3*r + 2*q, -3*q + 12 = -3*r for r. 0 Solve 10*n - 11*n - 17 = -4*j, -3*j = 4*n - 8 f
{ "pile_set_name": "DM Mathematics" }
of -2469*a**4 + 4725? -9876*a**3 What is the third derivative of -4*b**4*p - b**3*p**2 - 8*b**3*p - 158*b**2*p - 2*p**2 + 2*p wrt b? -96*b*p - 6*p**2 - 48*p What is the third derivative of -141*t*z**6 + t*z**3 + 3*t*z**2 - 2*t - 58 wrt z? -16920*t*z**3 + 6*t Differentiate -9*i**3*u - i**3 + 2*i**2*u**3 + 2771*u**3 wrt i. -27*i**2*u - 3*i**2 + 4*i*u**3 Differentiate 69*d**3*l + 21*d**3 - l**3 with respect to l. 69*d**3 - 3*l**2 What is the first derivative of -64*l**3*u + l**3 - 2*u + 12 wrt u? -64*l**3 - 2 What is the first derivative of 8*l**2*x**4 + 55*l**2 - 3*l*x**4 wrt x? 32*l**2*x**3 - 12*l*x**3 What is the third derivative of 297*f*p**3 - 2*f*p**2 - 802*f wrt p? 1782*f Find the third derivative of -1270*y**5 - 5*y**2 + 176. -76200*y**2 What is the first derivative of 6745*s**2 - 5203 wrt s? 13490*s Differentiate 217*o*r + 2*o - 1 wrt r. 217*o Find the second derivative of -1421*f**2 - 8*f - 45 wrt f. -2842 Find the second derivative of -6*d**3*m**2*r - 2*d**3*r - 2*d**2*r - 3*d*m**2*r - 19*d*m*r + 4*m**2 wrt m. -12*d**3*r - 6*d*r + 8 Differentiate -183*i**3 - 109. -549*i**2 Find the first derivative of -19*k*s + 2*k - 2*s**3 - 2*s**2 - 79 wrt s. -19*k - 6*s**2 - 4*s What is the third derivative of 152*i*o**4 + 88*i*o**2 + i*o wrt o? 3648*i*o What is the second derivative of 5*d*i**4 + 12*d*i**3 - d*i - d - 2*i**5 - 2 wrt i? 60*d*i**2 + 72*d*i - 40*i**3 What is the derivative of 3703*b**4 - 609 wrt b? 14812*b**3 What is the first derivative of 4*p**3*s - 169*p**3 + 9*p**2*s**3 wrt s? 4*p**3 + 27*p**2*s**2 What is the second derivative of 1001*i**2*m*z - 3*i**2*z**2 - 3*i*m*z**2 + 5*i*m*z - 2*i*z**2 + 8*i + 2*m*z wrt i? 2002*m*z - 6*z**2 What is the third derivative of 2600*f*p**3 + 721*f*p**2 + 2*f*p wrt p? 15600*f Find the second derivative of 961*g**2*h**3 - g**2 + 37*g*h + 8 wrt h. 5766*g**2*h Find the third derivative of 460*b**6 + b**4 + 3*b**3 + 7854*b**2 wrt b. 55200*b**3 + 24*b + 18 What is the second derivative of 7*f**3*t - 11*f**2*t**3 + 5*f**2 + f - 119*t**3 wrt f? 42*f*t - 22*t**3 + 10 What is the third derivative of -3437*s**3*w**3 + 1035*s**3*w**2 + s**3 + 2*s**2*w**2 + 2*s*w wrt w? -20622*s**3 What is the derivative of 2648*a**3*v - 3333*a**3 wrt v? 2648*a**3 What is the third derivative of -39*d*x**5 - 41*d*x**3 - 20*d*x**2 + 6*d + 1 wrt x? -2340*d*x**2 - 246*d Find the third derivative of 250*c**6 - 21*c**4*f + 5*c**2*f - 32*c**2 - 2*c - 3*f wrt c. 30000*c**3 - 504*c*f Differentiate 26*b**2*j + 3*b**2 - 35*b with respect to j. 26*b**2 What is the second derivative of -7*g**2*j**3 + 37*g**2 - 78*g*j**3 - g*j + 3*j wrt j? -42*g**2*j - 468*g*j What is the second derivative of -p*s**3 + 269*p*s + p + 311*s**4 + 3*s wrt s? -6*p*s + 3732*s**2 Find the second derivative of 7*y**3 - 397*y**2 - 17*y - 80 wrt y. 42*y - 794 What is the first derivative of 1067*v**3 - 2658 wrt v? 3201*v**2 What is the second derivative of 146*h**3*l + 3*h**3 - 2*h - 72*l wrt h? 876*h*l + 18*h What is the first derivative of -4*k**2 - 32*k - 420? -8*k - 32 What is the third derivative of -5*k**3*n**3 + k**3*n + 46*k*n**3 + 411*k*n**2 wrt n? -30*k**3 + 276*k Find the second derivative of 3*o**3 - 1384*o**2 + 390*o - 3 wrt o. 18*o - 2768 Find the third derivative of -9*a**5 + 2*a**3 + 2*a**2. -540*a**2 + 12 What is the third derivative of -h**4*i**3 - 16*h**4*i - h**4 + 32*h**2*i - 12*h**2 + 4*h*i**3 wrt h? -24*h*i**3 - 384*h*i - 24*h What is the second derivative of 964*f**2*z**3 - 2*f + 113*z**3 wrt f? 1928*z**3 What is the first derivative of 2*b*d*o*t + 3*b*d*o + 3*b*d - 2*b*o*t + 2*o*t + 2*o - 4*t wrt t? 2*b*d*o - 2*b*o + 2*o - 4 What is the third derivative of -64*m**3 - 110*m**2 wrt m? -384 What is the first derivative of 450*n - 386? 450 What is the derivative of 85*n**4 + 52*n**2 - 8527? 340*n**3 + 104*n Find the third derivative of 4*c**3*z**3 - 7*c**3 + 4*c*z**4 - 2*z**4 - 7*z**2 wrt z. 24*c**3 + 96*c*z - 48*z Find the second derivative of -4637*p**2 + 4112*p. -9274 What is the second derivative of 2055*y**2 - 584*y - 3 wrt y? 4110 Differentiate 9096*z - 3333. 9096 What is the second derivative of 937*i**3*k**2*n**2 + 365*i**3*k*n + 3*i**2*k*n**2 + 2*i**2*n**2 - 2*k + n**2 wrt k? 1874*i**3*n**2 What is the third derivative of -2*g**4*l**3 + 1017*g**4 + g**3*l + 75*g**2*l**3 - 2*g**2 - g*l**3 + 2 wrt g? -48*g*l**3 + 24408*g + 6*l What is the third derivative of 84*a**6 - 21*a**2 + 2? 10080*a**3 Find the second derivative of -1190*g**3 - 1004*g. -7140*g Find the third derivative of -3*w**4 + 11*w**3*x**2 - 63*w**2*x**2 + w**2 wrt w. -72*w + 66*x**2 Find the second derivative of -902*w**2 + 2681*w. -1804 Find the third derivative of 22*c**3*x**3 - 4*c**3*x**2*z**2 - 3*c**3*x**2*z + 2*c**3*z - x**3*z**2 wrt x. 132*c**3 - 6*z**2 Find the third derivative of 10282*i**3*n**2 - 498*i**2*n**2 - i*n + 2*n**2 wrt i. 61692*n**2 Differentiate -28*o**2 + 3*o - 82 with respect to o. -56*o + 3 What is the third derivative of 2292*k**6 + 18*k**2 + 53*k wrt k? 275040*k**3 Find the third derivative of 3*a**3*f**3*j**2 + 6*a**3*j**2 - 14*a**3 + 101*a**2*f**3*j**2 + 2*a**2*f**2*j + a*f**3*j + 3*a*f**2*j**2 wrt a. 18*f**3*j**2 + 36*j**2 - 84 What is the derivative of -7928*y**3 - 26214 wrt y? -23784*y**2 Find the first derivative of -185*b**3 - 2*b + 1622. -555*b**2 - 2 What is the third derivative of 179*q**3 - 95*q**2? 1074 What is the second derivative of -2752*w**4 - 339*w + 2? -33024*w**2 Find the third derivative of 6*b**6 + 6*b**3 + 5*b**2 - 6 wrt b. 720*b**3 + 36 Find the third derivative of 25*t**2*z**3 + 385*t**2*z**2 - 2*t*z**2 + 4*z**3 wrt z. 150*t**2 + 24 Differentiate 824*h + 1469 wrt h. 824 Differentiate -4*s*u**3 - s*u*y**2 - 21*s*y**2 + s + 3*u**2*y + 2*y**2 with respect to u. -12*s*u**2 - s*y**2 + 6*u*y What is the third derivative of -1103*q**3*x**3 + q**3*x**2 + 584*x**2 wrt x? -6618*q**3 What is the second derivative of 2*a**4 + 1598*a**2 - 1222*a? 24*a**2 + 3196 Find the third derivative of -10*d**2*u**3 - 146*d**2*u**2 - 2*d**2 + u**5 wrt u. -60*d**2 + 60*u**2 What is the third derivative of -209*v**3 - 27*v**2? -1254 Differentiate -46*c**3 + 3*c - 331. -138*c**2 + 3 Differentiate 72*b + 38 with respect to b. 72 What is the first derivative of -50*w**3 - 6*w**2 - 1278? -150*w**2 - 12*w What is the first derivative of -2*u**3*y + 112*u**3 - 41*u*y wrt y? -2*u**3 - 41*u Find the third derivative of -3*n**2*p**2*r**2 + 3*n**2*p*r**3 - 4*n**2 - 275*p**2*r**3 - 2*p**2*r**2 - r**2 wrt r. 18*n**2*p - 1650*p**2 Find the third derivative of 3*f**4*w + 87*f**4 - 2*f**3*w - 8*f**2 - 8*w + 1 wrt f. 72*f*w + 2088*f - 12*w What is the derivative of -11*l**3 + 29*l + 225 wrt l? -33*l**2 + 29 What is the second derivative of -7*j**4 - 107*j**3 - 700*j? -84*j**2 - 642*j What is the third derivative of -116*l**6 + 2*l**2 - 268*l? -13920*l**3 What is the derivative of -j*o*r + 6*j*o - 60*j*r**2 + 6*o wrt r? -j*o - 120*j*r Differentiate -6*a**2*y**2 - 8*a**2 - 1354*w**3*y**2 - 478*w**3 with respect to y. -12*a**2*y - 2708*w**3*y Differentiate -8158*t**4 + t**3 + 30400. -32632*t**3 + 3*t**2 What is the second derivative of 2*q**3*z**2 + 10285*q**3*z + 2*q*z**4 - 361*z**4 wrt z? 4*q**3 + 24*q*z**2 - 4332*z**2 Find the third derivative of 790*l**3 - 63*l**2 + 7*l. 4740 What is the second derivative of 58*g**3 - g**2 - 29*g + 3? 348*g - 2 Find the third derivative of 147*f**4 - 12*f**3 + 6169*f**2. 3528*f - 72 Find the third derivative of 252*g**4 + 2403*g**2. 6048*g Differentiate -6*b*l + 140*b - 163*l - 3 wrt b. -6*l + 140 Find the third derivative of -120*a**3*y**3 + 27*a**3*y**2 - 2*a**3 - 3*a*y**2 wrt y. -720*a**3 Find the third derivative of 2112*m**3*r**2 + 31*m**2*r**2 - m**2 + 24*r wrt m. 12672*r**2 What is the third derivative of 7047*f**4 + 2*f**2 + 596*f wrt f? 169128*f What is the third derivative of 18*b*p**4 + 33*b - 3*p**6 + 2*p**2 wrt p? 432*b*p - 360*p**3 What is the first derivative of -276*g + 687 wrt g? -276 Find the third derivative of -2*a**3*j**3*m**2 + 197*a**3*j*m**2 - 2*a**2*j**3 + 2*a**2*j**2 + 19*j**2*m**2 - j**2*m wrt a. -12*j**3*m**2 + 1182*j*m**2 Find the third derivative of 3*d**5*i**3 - 48*d**4 + 2*d**2*i**3 - 53*d**2*i**2 - d**2*i wrt d. 180*d**2*i**3 - 1152*d What is the derivative of 107*o**2 - o - 6731? 214*o - 1 Find t
{ "pile_set_name": "DM Mathematics" }
50 What is the o'th term of 689, 2758, 6207, 11036, 17245? 690*o**2 - o What is the f'th term of 211, 423, 637, 853, 1071, 1291, 1513? f**2 + 209*f + 1 What is the h'th term of 29, 125, 331, 683, 1217, 1969, 2975, 4271? 6*h**3 + 19*h**2 - 3*h + 7 What is the m'th term of 126, 121, 114, 105, 94, 81? -m**2 - 2*m + 129 What is the q'th term of -133, -137, -145, -157? -2*q**2 + 2*q - 133 What is the f'th term of -540, -1013, -1500, -2007, -2540? -f**3 - f**2 - 463*f - 75 What is the y'th term of 12765, 12764, 12763, 12762, 12761? -y + 12766 What is the l'th term of 367, 733, 1099, 1465, 1831? 366*l + 1 What is the y'th term of 799, 3195, 7187, 12775? 798*y**2 + 2*y - 1 What is the g'th term of -73, -101, -129, -157, -185? -28*g - 45 What is the h'th term of -321, -625, -925, -1221, -1513, -1801, -2085? 2*h**2 - 310*h - 13 What is the q'th term of -24, -45, -66, -87, -108, -129? -21*q - 3 What is the i'th term of -313, -617, -885, -1099, -1241, -1293, -1237? 3*i**3 - 325*i + 9 What is the t'th term of 496, 1004, 1512, 2020? 508*t - 12 What is the z'th term of -7571, -7573, -7575, -7577, -7579, -7581? -2*z - 7569 What is the i'th term of -4713, -4711, -4709, -4707? 2*i - 4715 What is the h'th term of -997, -1984, -2971, -3958? -987*h - 10 What is the o'th term of -538, -1079, -1626, -2179? -3*o**2 - 532*o - 3 What is the h'th term of 15, -43, -155, -333, -589, -935? -2*h**3 - 15*h**2 + h + 31 What is the a'th term of 12, 14, 16, 18? 2*a + 10 What is the d'th term of -85, -180, -297, -442, -621, -840? -d**3 - 5*d**2 - 73*d - 6 What is the t'th term of -493, -985, -1477, -1969, -2461, -2953? -492*t - 1 What is the i'th term of -5999, -5997, -5993, -5987, -5979, -5969, -5957? i**2 - i - 5999 What is the c'th term of -34, -68, -116, -184, -278? -c**3 - c**2 - 24*c - 8 What is the d'th term of -266, -1055, -2376, -4235, -6638, -9591? -d**3 - 260*d**2 - 2*d - 3 What is the b'th term of -1234, -2462, -3690, -4918? -1228*b - 6 What is the a'th term of -66, -123, -178, -231? a**2 - 60*a - 7 What is the a'th term of 4761, 4760, 4757, 4752, 4745, 4736? -a**2 + 2*a + 4760 What is the h'th term of 19, 12, 5? -7*h + 26 What is the f'th term of 492, 477, 462? -15*f + 507 What is the a'th term of -41, -325, -1091, -2579, -5029, -8681? -40*a**3 - a**2 - a + 1 What is the l'th term of 151, 289, 427, 565, 703? 138*l + 13 What is the m'th term of -59, -123, -185, -245, -303? m**2 - 67*m + 7 What is the d'th term of 74, 54, -4, -118, -306, -586, -976? -3*d**3 - d**2 + 4*d + 74 What is the n'th term of 40, 14, -44, -146, -304, -530? -2*n**3 - 4*n**2 + 46 What is the g'th term of 13, 8, 3, -2, -7, -12? -5*g + 18 What is the o'th term of 5026, 10048, 15068, 20086, 25102, 30116? -o**2 + 5025*o + 2 What is the u'th term of 26, -6, -66, -160, -294, -474, -706? -u**3 - 8*u**2 - u + 36 What is the s'th term of -54, -63, -84, -123, -186, -279, -408? -s**3 - 2*s - 51 What is the f'th term of -64, -181, -376, -649, -1000, -1429, -1936? -39*f**2 - 25 What is the r'th term of 220, 499, 778? 279*r - 59 What is the a'th term of -16, -22, -12, 20, 80, 174? a**3 + 2*a**2 - 19*a What is the o'th term of 4, -4, -36, -104, -220, -396? -2*o**3 + 6*o What is the d'th term of 328, 657, 988, 1321, 1656, 1993? d**2 + 326*d + 1 What is the x'th term of 123, 119, 115, 111? -4*x + 127 What is the v'th term of 673, 693, 725, 775, 849, 953, 1093? v**3 + 13*v + 659 What is the q'th term of -31, -38, -37, -22, 13, 74? q**3 - 2*q**2 - 8*q - 22 What is the u'th term of -23, -71, -159, -293, -479, -723? -u**3 - 14*u**2 + u - 9 What is the m'th term of 250, 240, 232, 232, 246, 280? m**3 - 5*m**2 - 2*m + 256 What is the w'th term of 689, 1388, 2087, 2786? 699*w - 10 What is the j'th term of 12, 16, 18, 18, 16, 12? -j**2 + 7*j + 6 What is the h'th term of -148, -187, -252, -355, -508, -723? -2*h**3 - h**2 - 22*h - 123 What is the m'th term of 43, 29, 15, 1? -14*m + 57 What is the j'th term of -551, -542, -519, -476, -407? j**3 + j**2 - j - 552 What is the c'th term of -4369, -8735, -13103, -17473, -21845, -26219? -c**2 - 4363*c - 5 What is the y'th term of -494, -988, -1482? -494*y What is the n'th term of -36, -42, -48, -54? -6*n - 30 What is the a'th term of -4, 16, 58, 128, 232, 376? a**3 + 5*a**2 - 2*a - 8 What is the q'th term of -3496, -3497, -3498, -3499? -q - 3495 What is the b'th term of -1302, -1300, -1298, -1296, -1294? 2*b - 1304 What is the g'th term of 2086, 2087, 2078, 2053, 2006, 1931, 1822? -g**3 + g**2 + 5*g + 2081 What is the j'th term of 378, 381, 384, 387? 3*j + 375 What is the o'th term of 1, -5, -7, 1, 25, 71, 145, 253? o**3 - 4*o**2 - o + 5 What is the l'th term of 104, 204, 302, 398, 492, 584? -l**2 + 103*l + 2 What is the z'th term of -168, -167, -166, -165? z - 169 What is the u'th term of -274, -272, -270? 2*u - 276 What is the i'th term of -355, -691, -1005, -1285, -1519, -1695? 2*i**3 - i**2 - 347*i - 9 What is the p'th term of -54, -51, -48, -45? 3*p - 57 What is the r'th term of 50, 439, 1482, 3503, 6826, 11775, 18674? 54*r**3 + 3*r**2 + 2*r - 9 What is the p'th term of -21, -48, -75, -102, -129, -156? -27*p + 6 What is the i'th term of -141, -265, -387, -507, -625, -741? i**2 - 127*i - 15 What is the s'th term of -38, -61, -72, -71, -58, -33, 4? 6*s**2 - 41*s - 3 What is the t'th term of -7, -13, -19, -25? -6*t - 1 What is the l'th term of -327, -325, -333, -357, -403, -477, -585? -l**3 + l**2 + 6*l - 333 What is the t'th term of 1024, 1042, 1060, 1078? 18*t + 1006 What is the c'th term of 96, 145, 200, 261? 3*c**2 + 40*c + 53 What is the i'th term of -114, -90, -66, -42, -18? 24*i - 138 What is the w'th term of 90, 181, 276, 375, 478, 585? 2*w**2 + 85*w + 3 What is the b'th term of 180, 370, 560, 750, 940, 1130? 190*b - 10 What is the z'th term of 46, 174, 386, 682? 42*z**2 + 2*z + 2 What is the z'th term of 7, 55, 185, 439, 859, 1487, 2365? 7*z**3 - z**2 + 2*z - 1 What is the j'th term of -154, -255, -356, -457, -558? -101*j - 53 What is the n'th term of 1626, 3263, 4910, 6573, 8258, 9971? n**3 - n**2 + 1633*n - 7 What is the r'th term of -14, -108, -368, -878, -1722? -14*r**3 + r**2 + r - 2 What is the u'th term of -21, -73, -181, -363, -637, -1021? -3*u**3 - 10*u**2 - u - 7 What is the x'th term of -42, -76, -116, -162, -214, -272, -336? -3*x**2 - 25*x - 14 What is the i'th term of -79, -165, -251? -86*i + 7 What is the v'th term of -16, -10, 12, 62, 152, 294? 2*v**3 - 4*v**2 + 4*v - 18 What is the l'th term of 123, 165, 207? 42*l + 81 What is the y'th term of -194, -347, -502, -659? -y**2 - 150*y - 43 What is the j'th term of 10, 16, 18, 16, 10, 0, -14? -2*j**2 + 12*j What is the h'th term of 50, 73, 118, 191, 298, 445, 638, 883? h**3 + 5*h**2 + h + 43 What is the x'th term of 1, 13, 47, 115, 229? 2*x**3 - x**2 + x - 1 What is the o'th term of 22, 66, 122, 196, 294? o**3 + 37*o - 16 What is the x'th term of -2, -13, -32, -59, -94? -4*x**2 + x + 1 What is the c'th term of 633, 1266, 1899, 2532? 633*c What is the l'th term of 62, 67, 24, -91, -302? -4*l**3 + 33*l + 33 What is the o'th term of 232, 928, 2096, 3742, 5872, 8492, 11608, 15226? o**3 + 230*o**2 - o + 2 What is the o'th term of 554, 521, 458, 359, 218, 29, -214, -517? -o**3 - 9*o**2 + o + 563 What is the p'th term of -1, -25, -49, -73? -24*p + 23 What is the t'th term of 41, 10, -21? -31*t + 72 What is the u'th term of -13, -72, -173, -316, -501, -728, -997? -21*u**2 + 4*u + 4 What is the u'th term of -19, -84, -193, -346, -543, -784? -22*u**2 + u + 2 What is the l'th term of 4233, 4235, 4237, 4239, 4241? 2*l + 4231 What is the d'th term of 550, 621, 740, 907, 1122, 1385? 24*d**2 - d + 527 What is the f'th term of 688, 2747, 6172, 10957, 17096? -f**3 + 689*f**2 - f + 1 What is the r'th term of -7, -24, -45, -70? -2*r**2 - 11*r + 6 What is the w'th term of -103, -125, -147, -169, -191? -22*w - 81 What is the s'th term of -243, -495, -757, -1035, -1335? -s**3 + s**2 - 248*s + 5 What is the z'th term of -6, -35, -98, -207, -374, -611, -930, -1343? -2*z**3 - 5*z**2 + 1 What is the k'th term of 111, 222, 335, 450? k**2 + 108*k + 2 What is the b'th term of 106, 128, 156, 184, 206? -b**3 + 9*b**2 + 2*b + 96 What is the d'th term of -4669, -4672, -4685, -4714, -4765, -4844? -d**3 + d**2 + d - 4670 What is the a'th
{ "pile_set_name": "DM Mathematics" }
smaller: -1944.55 or 1/2? -1944.55 Is 298631 at least 298616? True Is -125 < -1863? False Which is greater: -12709 or -12708? -12708 Which is greater: 5067 or 5136? 5136 Which is greater: 14/33 or 81.5? 81.5 Is -1 greater than -17/215846? False Which is bigger: 847/331 or 3? 3 Is -9 > -1333/142? True Is -31013 at most as big as -31008? True Is -199027 at least as big as -597080/3? False Which is bigger: -8/1525 or -15/29? -8/1525 Is 25551 less than 25551? False Are 93/314 and -1 non-equal? True Is -118227 equal to -118211? False Which is smaller: 4/2398991 or 1? 4/2398991 Which is smaller: 6/7 or 9/49? 9/49 Which is smaller: -166 or 79? -166 Are -6474 and -6474 nonequal? False Is 222324 < 222317? False Is -3 != -3361/760? True Which is smaller: 9307 or -195? -195 Is -54261 at most -54258? True Are -11617/6 and -1936 equal? False Which is smaller: -1 or -1/966440? -1 Is -0.1 greater than -22549? True Which is smaller: -26624 or 130? -26624 Do 0 and 3/37256 have the same value? False Is 54.341 != -19? True Is 14416 not equal to 14418? True Is 796 <= 27037/34? False Which is bigger: -5 or 3739/17? 3739/17 Which is bigger: 3702320 or 3702319? 3702320 Which is smaller: 426621/10 or 42662? 42662 Is 24239 not equal to 24342? True Is -71 != 27370? True Which is bigger: -208931 or -7? -7 Which is smaller: -198607 or -198608? -198608 Is -5234 not equal to -4928? True Is -30 not equal to -4053? True Which is bigger: -110644 or -221285/2? -221285/2 Which is smaller: -1 or -253623? -253623 Which is smaller: -3762178 or -3762179? -3762179 Which is bigger: 13195 or 277082/21? 13195 Which is smaller: -152/859 or 0? -152/859 Which is smaller: 10 or -432? -432 Is 26/22285 > -1? True Is 2/56389 at least as big as 0? True Are -43651 and -43651 equal? True Which is bigger: 660 or 4610/7? 660 Which is smaller: 0.5 or -12050? -12050 Which is greater: -983 or -869? -869 Which is smaller: 658 or -31? -31 Is 1025/7 < 145? False Is 1 greater than -10/405337? True Which is smaller: 169327 or 169339? 169327 Are 1/15 and 282/7 equal? False Which is smaller: -178952 or -178972? -178972 Which is smaller: 0 or -0.03185? -0.03185 Which is smaller: 1169 or 817? 817 Is 1 >= -10/21181? True Which is greater: 4/213145 or -1? 4/213145 Is 1 >= 377/875? True Is -209 bigger than 2516? False Which is smaller: -17 or -4906/309? -17 Which is smaller: 211867 or -2/15? -2/15 Which is smaller: 965560 or 0.2? 0.2 Is 2/1111343 less than or equal to 1? True Are -16792 and -16792 equal? True Is -1 != -1066/12973? True Is -25/159843 < -1? False Which is greater: 10697 or 10696? 10697 Which is bigger: -275 or -313? -275 Does -15965 = 1? False Which is bigger: -13538 or -94770/7? -13538 Is -4974/1795 at most as big as -3? False Is 1 at most 30/3637? False Which is bigger: -596 or -4181/7? -596 Do -1 and -1/2159287 have the same value? False Is -1 > 42/252755? False Which is greater: -35762 or -35737? -35737 Which is smaller: 5 or -7739? -7739 Is -504176 at least -504175? False Is 1 smaller than -155/658? False Which is smaller: -1 or -357/169? -357/169 Is 0 greater than or equal to 92762? False Are 412711 and 412709 non-equal? True Is 14/411 > -1? True Is -3857 at least -3859? True Is -9129 greater than or equal to -9120? False Which is bigger: -145/10474 or -1? -145/10474 Which is bigger: -11504 or -57517/5? -57517/5 Which is greater: -11446 or 1/2? 1/2 Which is smaller: 86671/44 or 1970? 86671/44 Which is smaller: 2.53 or -457? -457 Is 8/2497 at least as big as 1? False Is 0 < 1/78430? True Which is greater: -44638 or -44644? -44638 Is -154766 >= -154766? True Which is smaller: 64641 or 64634? 64634 Do -1 and 134/373 have the same value? False Which is smaller: 139 or -678.3? -678.3 Are 1027/159 and 5 unequal? True Which is smaller: -106 or -463? -463 Which is bigger: 17/5 or -1593/5? 17/5 Is 7221 less than or equal to 7214? False Is 0 at least as big as 149/130? False Which is smaller: 7.01 or -331? -331 Is 512 less than 457? False Which is greater: 36896 or 36894? 36896 Which is bigger: 4 or 132189? 132189 Which is smaller: -189102 or -189101? -189102 Which is greater: 12.9308 or 1? 12.9308 Is -5 at most 55522? True Which is greater: -259.1 or -376? -259.1 Is -87242 greater than or equal to -87242? True Is -99735 at most as big as -2/7? True Are 0 and 2/91523 non-equal? True Is 2126/865 at least as big as 2? True Is -1/2 at most -2307.22? False Which is bigger: 4399/73 or 61? 61 Is -602944 less than -602942? True Which is bigger: 58 or 763/13? 763/13 Which is greater: -41811 or -41796? -41796 Which is smaller: -3.9 or -1091/18? -1091/18 Do -2137 and -2142 have the same value? False Do 1 and 1/31761 have different values? True Is 13928 != -24? True Are -1574757 and -1574757 nonequal? False Is 15236 at least 15234? True Is -133.5 >= 0.03? False Which is bigger: -1 or -14/210309? -14/210309 Is -13852/177 < -78? True Which is greater: 0 or -1/27392? 0 Is -1419 < -1086? True Is 4/53393 at least -1? True Which is greater: -9617/43 or -223? -223 Is 284709 less than 284710? True Which is smaller: 142471 or 142476? 142471 Are 6/3898313 and 0 non-equal? True Is -17 <= 258? True Which is smaller: 62/9273 or 1? 62/9273 Is -10/385163 greater than 1? False Which is greater: -52 or -364? -52 Which is greater: 0 or 2/59447? 2/59447 Is -6686 smaller than -6526? True Which is smaller: -186761 or -186762? -186762 Is 13 smaller than 1454/123? False Which is bigger: 52 or 2259/44? 52 Does 107809 = 107808? False Which is smaller: -829783 or -829782? -829783 Is 2/5 greater than 207604? False Which is smaller: 1661340/13 or 127794? 127794 Which is greater: -285547 or -285546? -285546 Do -294424 and -294423 have different values? True Which is bigger: 32 or -11/317? 32 Which is greater: -7468 or -7467? -7467 Is -351319/8 >= -43915? True Do 2/775631 and 1 have the same value? False Which is bigger: 90 or 5580/61? 5580/61 Is 32 at most as big as -70? False Which is smaller: 84709 or 84616? 84616 Which is bigger: -9 or -737? -9 Which is smaller: -475 or 65? -475 Which is smaller: -1024 or 0.9? -1024 Is -1000087 > -1000091? True Which is bigger: 10 or 10943? 10943 Do -42913 and -7 have the same value? False Does -1034 = -36142/35? False Which is smaller: -330391 or -660779/2? -330391 Is -368 less than or equal to 0.01952? True Which is bigger: -48168 or 83? 83 Which is greater: 1385 or -9? 1385 Which is greater: -84397 or 0? 0 Which is smaller: 0 or 83/40130? 0 Is 935691 not equal to 935691? False Does 928448/15 = 61896? False Is 5/31207 at least as big as 0? True Is 155/2743 at most -1? False Which is bigger: 1 or -20/1403? 1 Which is greater: -79258 or -79259? -79258 Which is smaller: -31093 or -31106? -31106 Which is smaller: 212080/21 or 3/4? 3/4 Is -690674 greater than or equal to -690676? True Is 110349 less than 110347? False Which is bigger: -910 or -19? -19 Is 2 bigger than 28932/11? False Which is greater: 13 or 1703/135? 13 Which is smaller: -1140759 or -1140757? -1140759 Which is greater: 756 or 11338/15? 756 Is 0 at most 2/409757? True Which is bigger: 2/5 or 16/21? 16/21 Is -13659 > -13652? False Which is smaller: -15285 or 9? -15285 Do -4/168387 and 1 have the same value? False Which is smaller: -94767 or -94743? -94767 Is 2635/7 >= -2/11? True Which is smaller: -76 or -113? -113 Which is greater: 374/12953 or -1? 374/12953 Which is bigger: 194 or -2/173? 194 Which is smaller: -250512 or -9? -250512 Which is bigger: 3921 or 7843/2? 7843/2 Which is smaller: -21/1058 or 1? -21/1058 Is -200729/3 >= -66910? True Which is smaller: 16134 or 16131? 16131 Is -604206 bigger than -604205? False Is -1 smaller than 3/130469? True Do -229856 and -229856 have the same value? True Is -130 bigger than -111? False Which is greater: -5391/305 or -19? -5391/305 Is -1 < 20/12219? True Is -2/5 at most 351612? True Which is bigger: -5 or -144? -5 Is -583075 smaller than -583077? False Which is greater: 1 or -1/1772518? 1 Is -9 > -9896/1303? False Is 0.0375 at least 2/141? True Do -1 and -93/6049 have the same value? False Which is bigger: -318151/6 or -53025? -53025 Which is smaller: -101403 or -101401? -101403 Which is greater: 1678 or 137? 1678 Which is smaller: -7.2 or -46856? -46856 Is -2/81 less than or equal to -32091
{ "pile_set_name": "DM Mathematics" }
se 12, what is -2250827 - 11? -2250838 In base 15, what is -29ab3dd3 + 2? -29ab3dd1 In base 14, what is 138467 + -2b1? 138196 In base 3, what is 22 + -1001022211112100? -1001022211112001 In base 7, what is -235054 - 3340? -241424 In base 8, what is 4031421 + 2? 4031423 In base 11, what is a2069 - -15a? a2218 In base 11, what is -590 + 16254? 15774 In base 3, what is 201022000001 - -1201? 201022001202 In base 15, what is -536 - -222d8? 21ca2 In base 11, what is -10286285 - 0? -10286285 In base 11, what is 173 + -17947? -17784 In base 3, what is -20101 - 212101202? -212122010 In base 16, what is 5 + 348e71? 348e76 In base 12, what is 9247 + a15? a060 In base 12, what is -125a + -3946? -4ba4 In base 5, what is 0 + 2334211330? 2334211330 In base 14, what is 1 + 70393c8? 70393c9 In base 4, what is -2313 - -22223100? 22220121 In base 16, what is 19a - -223c6? 22560 In base 8, what is 3 - 77577032? -77577027 In base 15, what is -1 - 2cd4566? -2cd4567 In base 6, what is 2243354 - 145? 2243205 In base 9, what is 858 + -463301? -462332 In base 7, what is 3 - -1660641663? 1660641666 In base 13, what is -1c3 - -126c49? 126a56 In base 14, what is -109c9 - c? -109d7 In base 3, what is -22220 - 101220201? -102020121 In base 16, what is -95 - 1e1c2b? -1e1cc0 In base 5, what is 13114134 + 1323? 13121012 In base 9, what is -1731 + 65517? 63676 In base 10, what is -925376790 + 1? -925376789 In base 9, what is -14007 + -12578? -26586 In base 16, what is 5 + -6a38c7e? -6a38c79 In base 8, what is -6701370 + 570? -6700600 In base 2, what is 10100110100000000101 - 110101110? 10100110011001010111 In base 11, what is 854 - -129188? 129a31 In base 14, what is 12a + -d6b4d? -d6a23 In base 7, what is 1 + 344312131? 344312132 In base 15, what is -62bd48 - 1? -62bd49 In base 5, what is 1 - -3123232021? 3123232022 In base 10, what is 6374173 - -6? 6374179 In base 2, what is -10001 - -10100000011100? 10100000001011 In base 5, what is 3 + 2203243413? 2203243421 In base 12, what is -a3784b0 + -1? -a3784b1 In base 14, what is -8a056 - 11? -8a067 In base 11, what is -170 - 6301? -6471 In base 2, what is -11010110101011 + 110001100110? -10100101000101 In base 8, what is 4323205246 - -2? 4323205250 In base 5, what is 2130 - -11010322? 11013002 In base 16, what is 14 - 41ff4d? -41ff39 In base 3, what is -11012012 - 111002222? -122022011 In base 16, what is -a - 8e5e5? -8e5ef In base 8, what is -173 - -245056? 244663 In base 4, what is -132233020210 + 0? -132233020210 In base 12, what is -5b30 - -473? -5679 In base 9, what is -12 + 14571304? 14571282 In base 6, what is -43435 + 242? -43153 In base 15, what is 6b - 1957d23? -1957ca7 In base 16, what is -8660ba + -15? -8660cf In base 6, what is 15423032105 + -4? 15423032101 In base 7, what is 6 - -16010311? 16010320 In base 5, what is 1 + 34144044? 34144100 In base 14, what is 368d212 + 17? 368d229 In base 13, what is 288 + 452a? 47b5 In base 3, what is -2121 + -220021210? -220101101 In base 11, what is -2 - 137032? -137034 In base 3, what is 1210202102 + 22220121? 2010200000 In base 12, what is 3 + -94b6723? -94b6720 In base 5, what is -34133042 + -1? -34133043 In base 2, what is 10100101101110100111 - 10001? 10100101101110010110 In base 2, what is -100 - -10010101100100000100101001? 10010101100100000100100101 In base 10, what is -5 - -5662413? 5662408 In base 9, what is -103146256 - 4? -103146261 In base 12, what is -89393b + -9? -893948 In base 9, what is 31875 - -7645? 40631 In base 14, what is -4b + 2d0db2? 2d0d65 In base 13, what is -3 - 4b292100? -4b292103 In base 10, what is 11786 + -598? 11188 In base 9, what is -814084660 + 0? -814084660 In base 6, what is -1034231 + 13305? -1020522 In base 11, what is -28 + 77057? 7702a In base 10, what is 19295607 + -2? 19295605 In base 16, what is 3370c0 + -6? 3370ba In base 7, what is -120521 - -126320? 5466 In base 2, what is -11010001011100101000 - -101? -11010001011100100011 In base 5, what is 40021 + 2103331? 2143402 In base 4, what is 11103302230 - 1030? 11103301200 In base 10, what is 663562608 - -3? 663562611 In base 16, what is -96b - 1cf? -b3a In base 7, what is -312241 - -11624? -300314 In base 13, what is -553 - 7215? -7768 In base 4, what is -3033 - -223013332? 223010233 In base 6, what is 35244413 - 3? 35244410 In base 16, what is 31d0 - 32dc? -10c In base 8, what is 6072210 + -242? 6071746 In base 9, what is -2 - -14403158? 14403156 In base 3, what is 102000121021220 + -11012? 102000121010201 In base 7, what is -33235 - 622? -34160 In base 4, what is 0 - -13010323010? 13010323010 In base 9, what is 47463782 - 2? 47463780 In base 15, what is -3eaa7e - 2? -3eaa81 In base 13, what is 5 + 3c88920? 3c88925 In base 8, what is -15 - 646314? -646331 In base 13, what is 1ac25 + -2b? 1abc7 In base 14, what is -82 + b44942? b448a0 In base 2, what is 1010001111100110111100010 - 11? 1010001111100110111011111 In base 9, what is -1554226 + -5? -1554232 In base 3, what is -122010012112212 + -1211? -122010012121200 In base 3, what is 1011 - -202210120202100? 202210120210111 In base 13, what is 21 + -475619? -4755c8 In base 15, what is 103b - -8d88? 9dc4 In base 5, what is -311001144 + 11403? -310434241 In base 14, what is 72 - -1353d? 135b1 In base 11, what is 9275394 + 2? 9275396 In base 16, what is -4 + 3c96a74? 3c96a70 In base 12, what is -78 + -570? -628 In base 2, what is -10000110 + 11101011? 1100101 In base 4, what is -32321 - 300211? -333132 In base 2, what is -11010 + 1000100011010011010111? 1000100011010010111101 In base 4, what is -1201130330213 - -13? -1201130330200 In base 7, what is -46032240 + 45? -46032162 In base 2, what is -11011011100101 + -111110101110? -100011010010011 In base 14, what is 5356 - -1db? 5553 In base 9, what is 3 - 158606638? -158606635 In base 14, what is 50 - -682aa3? 682b13 In base 7, what is -5 + 21634513? 21634505 In base 5, what is -14 - 230112? -230131 In base 11, what is -895 - -5578? 4793 In base 2, what is -1100110 + -1101101010101110? -1101101100010100 In base 11, what is 10048 - -5a6? 10643 In base 2, what is -100101011101101100 + 1001001011111? -100100010100001101 In base 15, what is -42782 - 6? -42788 In base 6, what is -15225100 + -13? -15225113 In base 14, what is 12c5d9 - -7? 12c602 In base 8, what is 476376 - 7573? 466603 In base 11, what is 1134983a2 - -4? 1134983a6 In base 4, what is -2330 - 13031312? -13100302 In base 4, what is 101111110 - 1113? 101103331 In base 11, what is -33116110 + -1? -33116111 In base 16, what is -3f469 - -80c? -3ec5d In base 10, what is 58521 - -90? 58611 In base 9, what is 1 - -2057822? 2057823 In base 3, what is -2210002210 + 10200? -2202222010 In base 11, what is 21a45a71 + -2? 21a45a6a In base 16, what is -3 - -d3d65ba? d3d65b7 In base 16, what is -165595 - -38? -16555d In base 10, what is 4974473 - -8? 4974481 In base 16, what is 8 + 234ef? 234f7 In base 4, what is -230 + -12232233210? -12232300100 In base 16, what is -fecdc + 67? -fec75 In base 3, what is -112112022 - 20001021? -202120120 In base 2, what is 101101111110001100000 - 110110? 101101111110000101010 In base 15, what is 181 + -4224? -4093 In base 15, what is 35 - 1449d4? -14499e In base 13, what is 269 - -4731? 499a In base 6, what is 2100145 - 131? 2100014 In base 14, what is 49b8cc3 - 5? 49b8cbc In base 2, what is 1011 - 101000010010010111001? -101000010010010101110 In base 7, what is 222151366 - 5? 222151361 In base 14, what is 108db + 165? 10a62 In base 7, what is -1 + 443315426? 443315425 In base 6, what is 24452 - 214222? -145330 In base 3, what is 2012122012 - -220100? 2020112112 In base 8, what is 141 + 257013? 257154 In base 11, what is -332027 + 226? -331901 In base 7, what is -20445 + -34523? -55301 In base 13, what is 4 + 52c9043? 52c9047 In base 8, what is -4532 + 1660? -2652 In base 8, what is -357 - 3431271? -3431650 In base 14, what is 3 - 76c17b? -76c178 In base 5, what is 422 + 3313212? 3314134 In base 12, what is 2b838259 + 2? 2b83825b In base 7, what is -3465210 + 354? -3464523 In base 2, what is 1110001001 - -10001010010000110? 10001100000001111 In base 9, what is -2 - -8484702? 8484700 In base 2, what is 10100110111011100 + -110000? 10100110110101100 In base 5, what is 4 - 114140011224? -114140011220 In base 2, what is
{ "pile_set_name": "DM Mathematics" }
8) + sqrt(11) + -1 + -5 + ((1 + sqrt(11))*-5)**2). -840 - 44*sqrt(11) Simplify (2*(sqrt(204)*-2 - sqrt(204)) + (sqrt(204) - (sqrt(204) + 1*(sqrt(204) + (sqrt(204) - 2*sqrt(204))))))/(-1*sqrt(768) + 5*3*sqrt(12)). -6*sqrt(17)/7 Simplify (sqrt(228)*1*-3)/(-4*sqrt(192) - sqrt(12)) - (5 + (sqrt(19) + 1)*-2 + -5). 2 + 37*sqrt(19)/17 Simplify 3*(1 + -4*(3 + ((-1 + sqrt(468) + sqrt(468))*4 - sqrt(468))))**2 + -5. -5040*sqrt(13) + 1100806 Simplify -1*(-1 + sqrt(45)) + -2 - ((-3 + sqrt(500))**2 + (-4*sqrt(15)/sqrt(3) - sqrt(5))). -510 + 62*sqrt(5) Simplify 2 + ((2*sqrt(5500) - sqrt(5500))*1 + (sqrt(5500) - 1*sqrt(5500))*-1)/(-2*(sqrt(1100) - 3*(sqrt(1100)*2 + sqrt(1100)))). sqrt(5)/16 + 2 Simplify ((3 + sqrt(20) - sqrt(5)) + (2 + 1 + sqrt(5) - sqrt(5)))**2 + (sqrt(720) + 1)*2 + (3*sqrt(6000))/((sqrt(144) - sqrt(144)*2)/sqrt(12)). 6*sqrt(5) + 43 Simplify ((1 + sqrt(1584) + -3)**2 - (sqrt(1584) + -2*-3*sqrt(1584))) + (-2*(-1 + sqrt(1584)) + sqrt(1584) + sqrt(1584)*1*2)**2. -84*sqrt(11) + 3176 Simplify (-1*sqrt(198)*-3*-2)/(3*4*sqrt(176)). -3*sqrt(2)/8 Simplify 4 + ((-4 + sqrt(1900))*6 + 4 - (sqrt(1900) - (-3 + (sqrt(1900) - sqrt(1900)*3)) - -2*(sqrt(1900) + 2)))**2. -540*sqrt(19) + 2633 Simplify 0 + (-5 + (sqrt(891)*-1 + 0)**2 + 2 + (2 + sqrt(891) - sqrt(891)))*-4. -3560 Simplify -1 + ((sqrt(5) + -1 + 4 + sqrt(5) + (sqrt(5) + sqrt(45) + sqrt(5))*-4 + sqrt(5) + sqrt(120)/sqrt(6) + 5 + sqrt(5)*1)*-5)**2 + -1. -5600*sqrt(5) + 26098 Simplify (-3 + 0 + sqrt(605) + 1)**2 + -1 + 6*((4 + 1 + sqrt(605))*-4)**2 + 2. 10516*sqrt(5) + 61090 Simplify ((-4 + (2 + sqrt(200) + sqrt(200))*3)*-6 + 1 + (-3 + -1*sqrt(2)*-3)*-5)**2. -3000*sqrt(2) + 281266 Simplify 4*(((1*sqrt(700) + sqrt(700) + sqrt(700) + sqrt(28))/(sqrt(4)*1*2 + sqrt(4)))**2 + (4 + 1 + sqrt(252) + -1)**2). 192*sqrt(7) + 16816/9 Simplify (3*(sqrt(2299) + 0 + sqrt(2299)) - sqrt(2299) - (sqrt(2299) + 1 + 1)) + (sqrt(2299) - (4 + (sqrt(2299) - 1*sqrt(2299))))**2 + -3 + 0 + 4 + -2. -44*sqrt(19) + 2312 Simplify (-2*(2*sqrt(4235) - sqrt(4235))*-6)/(2*-3*sqrt(7) + sqrt(77)/sqrt(176) + sqrt(7)). -528*sqrt(5)/19 Simplify (3*(sqrt(132) - sqrt(132)*1))/(sqrt(120)/(sqrt(40)/sqrt(4)))*3 + (sqrt(88)*-2)/(sqrt(2)*-2*5). 2*sqrt(11)/5 Simplify 1 + -6*((((sqrt(650) + sqrt(650)*-3)*6 - sqrt(650)) + sqrt(650))/(-6*(sqrt(50) - sqrt(2))*-5))**2. -37/2 Simplify -4 + 5 + 2*sqrt(162) + (sqrt(400) + sqrt(400)*-1 + sqrt(400))/(2*sqrt(72)). 1 + 113*sqrt(2)/6 Simplify ((-3 + 3*(2*sqrt(5) + sqrt(5)) + 1)*1 + ((sqrt(100)/sqrt(2) + sqrt(50))*4)/(sqrt(40) - -1*sqrt(40)))**2. -44*sqrt(5) + 609 Simplify -1*(-3 + ((-4 + sqrt(300)*2 + sqrt(300)*1*1)*6*4)**2 + -3). -1564410 + 138240*sqrt(3) Simplify ((3 + sqrt(162) - (sqrt(2) + -1*-2*sqrt(2))) + -4 + -3*(sqrt(4)/sqrt(2) - sqrt(2)) + -4)**2 + 4. -60*sqrt(2) + 101 Simplify -6*((sqrt(1539)*-2)**2 + -2)*1 + (-1 + (sqrt(1539) - (-1 + sqrt(1539)*1) - sqrt(1539))*1)**2. -35385 Simplify (6*(-2 + sqrt(128)*-1 + -3 - ((4 + sqrt(128) + 0 - sqrt(128)) + -5)))**2. 2304*sqrt(2) + 5184 Simplify ((-1*(sqrt(112) + (sqrt(112)*-2 - sqrt(112))))/sqrt(8)*-4)/((sqrt(96)/sqrt(192))/(sqrt(32)/(sqrt(8) + sqrt(32)))). -32*sqrt(7)/3 Simplify (sqrt(75) + -3)**2 + (sqrt(33)*-4)/sqrt(11) + (1 + 2 + sqrt(3) - sqrt(36)/(sqrt(12)*2)). -67*sqrt(3)/2 + 87 Simplify (1 + 1 + 5 + 6*((sqrt(125) - sqrt(125)*2)*-6 + (sqrt(5) + -2*(-1 + sqrt(5)) + sqrt(5))*-2)*-5)**2. -228600*sqrt(5) + 4066129 Simplify 1 + 1*(1*(1 + sqrt(63)) - (-3 + 2 + sqrt(7) + 1)**2). -5 + 3*sqrt(7) Simplify (1*sqrt(1053)*2*-3 - (3 + -2*sqrt(117) + (sqrt(156)/sqrt(3))/sqrt(4)))**2. 294*sqrt(13) + 31222 Simplify (-1*(6*(-1*sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130))*5)/(6*sqrt(10)*4 + sqrt(50)/(sqrt(40)/sqrt(8))). 2*sqrt(13) Simplify ((-1 + -1*sqrt(325) + sqrt(325))**2 + -3 - (1 + -1 + sqrt(325) + -1*sqrt(325))) + 3. 1 Simplify ((-3*2*(sqrt(432) + -1*sqrt(432) + sqrt(432)))/((sqrt(4) + sqrt(16)/sqrt(4))*3 + sqrt(4) + sqrt(44)/sqrt(396)))**2. 139968/1849 Simplify -5 + 2 + ((sqrt(304) + sqrt(304) + 0)*2)**2 + -1*1*sqrt(304) + 1. -4*sqrt(19) + 4862 Simplify 2 + (-6*1*sqrt(684)*-5*-6 - -4*((sqrt(684) - (sqrt(684) + -1 + sqrt(684) + -2)**2) + -5)). -10998 - 768*sqrt(19) Simplify (-4*sqrt(170)*-3 + (sqrt(170) + 2*sqrt(170)*-1 + sqrt(170) - sqrt(170)) + sqrt(170))/(((2*sqrt(70) + sqrt(70))*2)/(sqrt(175)*-2 - sqrt(175))). -30*sqrt(17) Simplify (sqrt(110) + 2*sqrt(110)*-2 - (1*sqrt(110)*2 - sqrt(110)))/((5*sqrt(80)*5)/sqrt(8)). -4*sqrt(11)/25 Simplify sqrt(88)/(sqrt(56)/sqrt(175))*3 - (sqrt(1100) + sqrt(1100)*1 - (3 + sqrt(99))). -2*sqrt(11) + 3 Simplify 1*(1*sqrt(153)*-6)/sqrt(576)*-6 + 1. 1 + 9*sqrt(17)/2 Simplify ((5 + 0 + (sqrt(119) - -3*(sqrt(119) + sqrt(119)*-1 + sqrt(119)))/(sqrt(1008) + sqrt(1008)*2) + 1)*-5)**2. 100*sqrt(17)/3 + 73325/81 Simplify 4*((4*2*sqrt(128) + -3)**2 - (3 + sqrt(128) + 2 + -5)). -1568*sqrt(2) + 32804 Simplify 3*(3 + 5 + (3 + (-3*(3 + sqrt(891) + sqrt(891) - sqrt(891)) - sqrt(891) - sqrt(891)) + -1 + 1*sqrt(891))**2). 1512*sqrt(11) + 42939 Simplify -3*(-6*(sqrt(275) - (4 + sqrt(275)) - sqrt(275)))**2 - (-3*sqrt(275) + 4 + 1). -31433 - 4305*sqrt(11) Simplify (sqrt(64) - (sqrt(64) - (sqrt(64) - (-1*sqrt(64) + sqrt(64))*-4)))/(1*sqrt(8)) + -6*(1*(sqrt(288) - sqrt(288)*-4))**2. -43200 + 2*sqrt(2) Simplify -2 + ((sqrt(684) + sqrt(684) + -1 + sqrt(684))*6*-3 - (sqrt(684) + -2*sqrt(684) + -2 - (sqrt(684) + 5 + -1 + sqrt(684))))**2. -14688*sqrt(19) + 1779658 Simplify ((-2 + 0 + sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300) + -4))*-3 - 1*(sqrt(78)/(sqrt(6) - sqrt(96)) + sqrt(13) - (-1 + sqrt(13)*-3)))**2. -1106*sqrt(13)/3 + 81574/9 Simplify 4*(2*(sqrt(130)*2*1 + sqrt(130)*-2*3))/(((1*sqrt(120) + sqrt(120))*-4)/(sqrt(48)/sqrt(4)*3)). 12*sqrt(13) Simplify (-2*(4 + (1 + sqrt(147)*-2 + sqrt(147) - (sqrt(147) + (sqrt(147) + 1)*5 + sqrt(147) + sqrt(147))) + -3 + 5 + 3))**2 + -1. -2520*sqrt(3) + 47727 Simplify ((sqrt(1216)*2 + 5 + sqrt(1216) - sqrt(1216) - (sqrt(1216)*2*2 - sqrt(1216))) + 0 + -3*sqrt(1216)*-4 + -2 + 5)**2. 1408*sqrt(19) + 147200 Simplify ((sqrt(17) - sqrt(102)/sqrt(6))*5 + (-3*sqrt(85))/sqrt(5) - (-2 + (-6*(1 + sqrt(153)) - sqrt(153))))**2*3. 864*sqrt(17) + 16716 Simplify ((-3*sqrt(245) - sqrt(5))**2 + sqrt(55)/(sqrt(11) - -1*sqrt(11)) - (-3 + (sqrt(605) + sqrt(605) + -2 + sqrt(605))*-6)**2) + -5. -193686 + 7129*sqrt(5)/2 Simplify -4*((0 + sqrt(147) + 2 - sqrt(147)) + (sqrt(147) - -5*(-1 + sqrt(147))) - 4*(-2 + sqrt(147) + -2 - sqrt(147)))**2. -21844 - 4368*sqrt(3) Simplify 2 + (((sqrt(88) - 2*sqrt(88))*-3 - sqrt(88)) + (sqrt(88) - 1*sqrt(88)*-1))/((sqrt(66)/sqrt(3))/sqrt(2) - sqrt(1584)*2) + -4. -2 - 8*sqrt(2)/23 Simplify (0 + sqrt(960)/sqrt(5))*-2 - (sqrt(27) + 3 - (sqrt(21)/(sqrt(70)/sqrt(10)))**2). -19*sqrt(3) Simplify (2*(-4*sqrt(45)*2 - sqrt(225)/(sqrt(20) + sqrt(5) - sqrt(5))))/((sqrt(81) - (2*sqrt(81) - sqrt(81)))/sqrt(9) - (sqrt(9) + sqrt(144) + sqrt(9))*1). 17*sqrt(5)/6 Simplify (-4*sqrt(1458)*2 + 2 + sqrt(1458) + sqrt(1458)*1 + 1 + -5 + -2)**2. 1296*sqrt(2) + 52504 Simplify ((sqrt(4) + sqrt(324)*1)/(sqrt(32)*-5) + (-1 + sqrt(288) - (sqrt(98) + -3)) + 2)**2. 36*sqrt(2) + 113/2 Simplify (sqrt(1344)*-5 - sqrt(42)/sqrt(18))/(sqrt(28)*-3 + sqrt(1344)/sqrt(3)). -121*sqrt(3)/6 Simplify (4*1*3*sqrt(1000))/(1*sqrt(32) + 3*sqrt(18)). 120*sqrt(5)/13 Simplify sqrt(13) + sqrt(78)/sqrt(294) - (0 + sqrt(13) + (sqrt(13)*-5)**2) - (4 + sqrt(78)/(sqrt(6) - -4*sqrt(24))). -329 + 2*sqrt(13)/63 Simplify ((sqrt(832) - (5 + sqrt(832)*1 - sqrt(832))) + (sqrt(832)*2 + sqrt(832))*-3)**2*5 - ((sqrt(325) + sqrt(325) + 0 - sqrt(325))*1 + 0)**2*-3. 3200*sqrt(13) + 267340 Simplify 5*(2*sqrt(5445) - sqrt(45)*-1*1)/(-2*sqrt(576)*-6)*-5. -575*sqrt(5)/96 Simplify -1*(-5 + (sqrt(80) - (((-2 + sqrt(80))*1)**2 - sqrt(80))) + 2*((sqrt(80) - (sqrt(80)*6 + sqrt(80))) + 3 + sqrt(80))**2)*3. -11787 + 648*sqrt(5) Simplify (2 + -2 + 2*sqrt(76) + 2 - ((sqrt(76) + 1 + sqrt(76))*-2 + (sqrt(76) - sqrt(76)*4)*3))**2. 240*sqrt(19) + 17116 Simplify -5*(2*sqrt(63)/sqrt(9) + -2) - ((sqrt(14) - sqrt(126))*-1)/sqrt(2)*-2. -6*sqrt(7) + 10 Simplify (-2*(3 + sqrt(192) + -3 + 2 + 3 + sqrt(192) + 2) + -1)**2. 960*sqrt(3) + 3297 Simplify -2 + (6*(2*sqrt(99) - sqrt(99))*4*-2)/((sqrt(36) + sqrt(36) + sqrt(144)*5)/(1*sqrt(144) + sqrt(4))). -28*sqrt(11) - 2 Simplify (((0 + sqrt(432))*1 - (sqrt
{ "pile_set_name": "DM Mathematics" }
+ 0)*0. Solve 5*b + 0*b = x for b. 0 Suppose -3*h - 41 + 146 = p, 4*p + 3*h = 447. Let b be p/54 + 2/(-18). Solve q - 9 = -b*q for q. 3 Let h(g) = -g**2 - 19*g - 3. Let q be h(-16). Let o be 36/(-60)*(0 - q). Solve 4*r + 11 = o for r. 4 Let p(u) be the second derivative of -1/6*u**3 - 3*u + 0 + 9*u**2. Let q be p(8). Solve -q = -2*y - 2 for y. 4 Suppose -19 = -4*u + 53. Suppose -4*z + 4*q - 9*q + 27 = 0, 2*q + u = 2*z. Solve 0 = z*n - 9*n - 1 for n. -1 Let v(y) = -14*y + 562. Let u be v(40). Let i(d) = d + 1. Let x be i(5). Let z = x - 4. Solve 8 + u = z*t for t. 5 Let w be ((-16)/(-20))/(2/5). Let u be (9/w)/(-3)*-6. Let q be -11 + u - -1*2. Solve q = -2*x - 6 for x. -3 Let p(m) = m**2 + 5*m. Let y be p(-6). Suppose -3*r - 4 = 4*k, -4*k - 3*r = -7*k + 18. Solve k - y = -g for g. 4 Let m = 832 - 804. Solve 13 - 41 = m*v for v. -1 Suppose -45*t + 10 = -44*t. Solve -28*p + 26*p = -t for p. 5 Suppose 5*y = 31 - 21. Suppose 0 = y*z - 7*z + 10. Solve -z*m + 7*m = 15 for m. 3 Let x = -666 - -708. Solve -x + 12 = -10*f for f. 3 Suppose 0 = 2*b - 98 - 104. Let j = -101 + b. Solve -2*z - 5 + 1 = j for z. -2 Let k = -2 + 7. Let d be (-3 + 0)/(2 - 3). Suppose -2*w - g = d*g + 4, -g = w. Solve -w*n + 5 = -k for n. 5 Let u be 1 + -2 + 2 + -7. Let t(a) = -a**2 - 9*a - 6. Let y be t(u). Suppose 4*m - y = m. Solve -m = 4*j + 4 for j. -2 Suppose -6*b = -13*b + 35. Solve -9*l - b*l + 14 = 0 for l. 1 Suppose -12*p - 323 = -31*p. Let m be 9/(306/(-4)) - (-2)/p. Solve -3*b - b - 12 = m for b. -3 Suppose -3*u + 3*g = -6, -2*u = -4*u - 4*g - 8. Suppose 3*l + 41 - 44 = u. Solve 0 = -5*k + l + 4 for k. 1 Suppose y + 86 = 34. Let z = y - -54. Let a be 4/6 - 6/9. Solve z*r + 10 = -a*r for r. -5 Let g = -14 + 40. Suppose 3*x - 3*v = 2*v + 34, -g = -3*x + v. Solve -2*j = -0*j - x for j. 4 Let o(g) = g**3 - g + 2. Let b(n) = -4 - 2*n**3 + 6*n**2 - 9*n**2 + 3*n + 4*n**2. Let t(k) = 2*b(k) + 5*o(k). Let j be t(-2). Solve -1 = -p - j for p. 1 Suppose -3*g + 8*g + 50 = 0. Let n = g - -10. Suppose -2*d - 8 + 58 = n. Solve -o - 4*o = -d for o. 5 Let p(h) = 14 + 0*h + 3 - h. Let a be p(11). Suppose 0 = -3*x + a. Solve b = -x*b - 6 for b. -2 Let u be ((-1 + -9)/(-2))/1. Suppose -3*v = -u*o - 48, -o - 2*v = o + 32. Let p = o + 13. Solve d - 2 = -p for d. 1 Let f be -42*1*2*(-3)/7. Solve b + 8*b + f = 0 for b. -4 Let z be (11/3 - 3)*3. Let a be (-161)/(-42) + z/12. Suppose -2*u + v + 11 = 2, 2*v + 16 = 3*u. Solve 0 = -a*w + u*w + 2 for w. 1 Let c be ((-56)/(-6))/(38/57). Suppose -4*r + c = 2*w + 2, 19 = 3*r - w. Solve -r*v = -0*v for v. 0 Suppose 3*v + 0 = 5*q - 6, -4*q = -v - 9. Solve v*l = l for l. 0 Let o(l) be the third derivative of -l**4/12 + 2*l**3/3 + 15*l**2. Let f be o(0). Solve 2*d + f = -6 for d. -5 Let f be -5*17 - (10 - (-1 - -7)). Let u = -87 - f. Solve -4*v + u = -6*v for v. -1 Suppose v - n + 3 = -1, -5*n = -4*v - 20. Solve -2*z + 5*z + 6 = v for z. -2 Suppose -1 = -l + 2. Suppose -2*v - 5*f = -49 - 8, 63 = 3*v + l*f. Suppose -2*z + 28 - 10 = -2*k, -k = z - 1. Solve -v = z*q - q for q. -4 Let x be 14/6 - (-1)/(-3). Suppose -8*h + 18 - 10 = 0. Solve -p + h + x = 0 for p. 3 Let u(g) = g**2 + g + 1. Let s(r) = 6*r**2 + 3*r - 18. Let y(z) = s(z) - 5*u(z). Let t be y(6). Solve 4*v = -3 - t for v. -1 Let u(r) be the second derivative of -r**5/20 + r**4/3 - r**2/2 + 8*r. Let c be u(3). Solve c = -4*z + 8*z for z. 2 Let b be ((-11)/(-7) - 1)/((-3)/(-42)). Suppose 2*x + 2*x - n = 2, 0 = 3*x - 4*n - b. Solve -l = -x*l for l. 0 Let n be (-6)/(-27) - (-34)/9. Suppose -4*m = n*y - 12, 3*y + m = 5*m - 12. Solve -6*d + 2*d + 8 = y for d. 2 Suppose -g = -5*z - 8 - 25, 5*z + 25 = 0. Suppose g*j - 60 = 4. Let t(w) = -5*w**3 - w**2 + w + 1. Let l be t(-1). Solve l = n + j for n. -4 Let p be (-2)/((-24)/(-10) - 2). Let q(b) = -b - 3. Let k be q(p). Suppose -c + 9 = 5. Solve -c = -k*x + 6 for x. 5 Suppose -1 = -n + 4. Suppose 4*p - 3*j - 24 = j, -p + 2*j + 5 = 0. Let t be 0/((-7)/(p/(-2))). Solve -w = -t*w - n for w. 5 Suppose -2*s - 8 = 0, 0 = -2*r + 2*s + 9 + 5. Suppose k - r*k + 4 = 0. Let y = 5 + 0. Solve -7*x + y = -k*x for x. 1 Let v = -29 + 34. Suppose 2*f + 113 = v*w - 112, 3*f = -w + 45. Suppose -8*n - n = -w. Solve 1 + 19 = -n*g for g. -4 Let a(s) = 66*s - 193. Let q be a(3). Solve q*k - 19 = -14 for k. 1 Let j(f) = -3*f**2 - 7*f - 10. Let r be j(-4). Let k be (-5)/r*3*24. Solve 0*x + k = 4*x for x. 3 Let f(d) = d**3 - 37*d**2 + 36*d + 16. Let a be f(36). Solve a*r + 6 = 14*r for r. -3 Let q be 14 - (4 + -4 - -1). Suppose q*i - 14*i = -6. Let z be (-8)/20 - 36/(-15). Solve -z*r + 0 = -i for r. 3 Let w(r) = 19*r - 6. Let i be w(8). Let m = 278 - i. Let c be 288/m - 2/11. Solve -c*f - f + 9 = 0 for f. 3 Let f = -461 - -470. Solve -f*p = 11 + 25 for p. -4 Suppose -g = 2*g + j - 291, -g + 86 = 4*j. Suppose -g = -8*r - 26. Solve -y = 2*y - r for y. 3 Let g = -2671 + 2678. Solve 4*m - g = 11*m for m. -1 Let w(o) be the third derivative of o**5/60 + 7*o**4/24 + 2*o**3 - 5*o**2. Let g be w(-5). Solve -t = g*t for t. 0 Suppose 3*v - h - 105 = 2*h, -4*h - 78 = -2*v. Solve 3*f + 16 = v for f. 5 Suppose -2*u - 10 = -4*r - 4*u, 0 = u - 5. Let b be ((-2)/(-4))/1*10. Solve r*s + 5*s = -b for s. -1 Let z(n) = -5*n - 3. Let w be z(3). Let y = w - -20. Suppose y*r + i = 13, -r + 4*i = -4*r + 27. Solve -b = -r + 3 for b. 2 Let m = 249 - 246. Solve -m*j - 8 = -5 for j. -1 Suppose -178 = 3*w + 122. Let k = w - -102. Solve -4*a + 5*a = k for a. 2 Let m be -3 + ((-52)/(-5) - 21/(-35)). Suppose 4*s - m = -2*t, -6*s + s = 3*t - 10. Solve s*i = -0*i for i. 0 Suppose -269 = 4*v + j - 95, j - 2 = 0. Let l = -44 - v. Solve 4 = -l*q + q for q. 4 Suppose m + 2*g = -122, 488 = -4*m - 3*g + 7*g. Let j = m + 123. Solve 4 - j = -3*b for b. -1 Let t be 2/(-4) + 40/16. Suppose -g + 5*g - 3*o - 47 = 0, -o + 19 = 3*g. Suppose 3*a - 6 = 3. Solve -a*l = t - g for l. 2 Let l be 3*2/3 - (-46 + 48). Solve -j + 5*j = l for j. 0 Let k(u) = u**3 + 6*u**2 + 2*u - 6. Let q be k(-5). Let t be (-6)/2*12/q. Let d = -1 - t. Solve d*r = -0*r + 3 for r. 1 Let t = 0 + -3. Suppose 0 = 5*l + 25, i + 14 - 1 = -2*l. Let r = t - i. Solve 0*p + p + 3 = r for p. -3 Suppose 5*w = 4*r + 32, -19 = r - 2*w - 2*w. Let g be 12/r + 7 + 0. Solve 0*u + g*u = -15 for u. -5 Suppose -f = -a - 23, -3*a + 0*a - 5*f = 109. Let m be (a/(-70))/(2/10). Suppose -5*q + 43 + 28 = -m*y, -q = -2*y - 11. Solve 0 - q = -3*v for v. 5 Let p = -1063 + 1078. Solve 0 = -p*v + 5*v + 40 for v. 4 Suppose 5*m + 39 = 49. Solve -m*q = 15*q for q. 0 Suppose -b + 5*u = -3*b + 44, -44 = -3*b - 2*u. Let p = b - 7. Solve 2 = -p*y - 3 for y. -1 Let h(m) = m - 10. Let v be h(9). Let y be (8 + -14 + 2*v)*-1. Solve 4 = 3*f - y for f. 4 Let g(q) = q**2 - 12*q + 22. Let m be g(2). Solve -2 = -m*v - 8 for v. -3 Let t(s) = -s**3 + 2*s**2 - s + 1. Let c be t(1). Suppose 0 = y - c - 3. Solve 0 = v - y*v for v. 0 Suppose -2*b = 3*h - 65, 20*b - 17*b = -4*h + 100. Solve -15 = 43*w - b*w for w. -5 Let x(g) = -g + 19. Let u be x(16). Suppose 3*o = u*n - 8*n - 2, -3*o - 6 = 3*n. Solve -l + n*l = 0 for l. 0 Let k(i) = i**2 + 5*i - 10. Suppose -w - 1 = 6. Let j be k(w). Let d = 0 + j. Solve t = d*t for t. 0 Let a(f) = -f**2 + 7*f - 13. Let m(v) = -v**2 + 6*v - 14. Let q(i) = 5*a(i) - 4*m(i). Let r be q(11). Let g be 8/12*r*-1. Solve -5*k + g + 4 = 0 for k. 2 Suppose -r = -4*n + 1131, -4*n + 527 = r - 614. Solve 286*c = n*c for c. 0 Let y be (20 + 28)*(-2)/(-6). Solve -i = -y*i + 75 for i. 5 Let f = -256 + 276. Solve 5*y - f = -0*y for y. 4 Let r be (-2)/9*((-224)/(-16) + -23). Solve r*i + 11 - 1 = 0 for i. -5 Let p(r) = r**2 + 1. Let w be p(0). Suppose 2*x = -4*v, -x = -2*v + x + 12. Suppose -v + 14 = 4*s. Solve s*a - 4*a = w for a. -1 Suppose -6*w - 25 = -5*k - w, -12 = -3*w. Suppose -25 = 3*q + 5*j, 0 = -2*j - k - 1. Let l be (-144)/(-76) + (-2)/(-19). Solve 0 = l*n - 4 - q for n. 2 Let d(h) = 5*h - 44. Let w be d(9). Suppose -w = 30*v - 31*v. Solve -s = 4 + v for s. -5 Let n = -6 + 11. Suppose 4*m = -2*u + 22, n*m - 4*u - 7 = 1. Solve -b = -m*b for b. 0 Let n(l) = -5 - l**3 - 2*l**2 - 2*l**2 - 319*l + 339*l. Let m be n(-7). Solve 0 = 4*q - 6*q + m for q. 1 Let q be -1*(5 + (-40)/4). Solve -3 = -2*v + q for v. 4 Let q(d) = -d**3 - 22*d**2 + 48*d + 29. Let k be q(-24). Solve 0 = 3*r - k +
{ "pile_set_name": "DM Mathematics" }
= -j. Give n(x(i)). -662*i - 4 Let n(d) = 2*d**2. Let z(p) = 85179735*p. Calculate z(n(m)). 170359470*m**2 Let w(a) = 13*a**2 - 72*a + 498. Let n(u) = -3*u**2 + 18*u. Let m(x) = 4*n(x) + w(x). Let b(d) = 2*d**2. Give m(b(r)). 4*r**4 + 498 Let c(h) be the first derivative of -2*h**3/3 - 1372. Let y(j) = 1321*j**2. Give c(y(b)). -3490082*b**4 Let l(r) = 3725*r**2 - 1951*r. Let s(t) = -11*t. Calculate s(l(m)). -40975*m**2 + 21461*m Let t(d) = 58*d. Let b(u) = 505*u + 5. Calculate b(t(p)). 29290*p + 5 Let q(a) = a. Let k(f) = 2*f. Let m(l) = 2*l - 39. Let z(p) = 30*p - 545. Let n(i) = 55*m(i) - 4*z(i). Let c(t) = 6*k(t) + n(t). Calculate q(c(x)). 2*x + 35 Let p(n) be the first derivative of -n**2/2 - 4771. Let f(d) = 1040*d + 7. Give p(f(j)). -1040*j - 7 Let i(l) = 5*l**2 + 14. Let d(b) = -10*b**2 - 3*b - 15. Let p(g) = 5*g**2 + g + 5. Let n(j) = -d(j) - 3*p(j). Give i(n(y)). 125*y**4 + 14 Let p(d) = -14*d**2 + 16*d**2 - 17*d**2 + 10*d**2. Let g(t) = 136*t**2. Determine g(p(b)). 3400*b**4 Let t(m) = 2 - 2 - 20*m**2. Let f(x) = -x - 3. Let o be f(-7). Let l(r) = 2*r + 1 + o - 5. Calculate t(l(n)). -80*n**2 Let p(d) = 186*d + 5. Let l(z) = 890*z + 24. Let r(g) = -5*l(g) + 24*p(g). Let o(q) = -7*q - 7. Give r(o(i)). -98*i - 98 Let c(u) = 4*u. Let i(m) = 9551564*m. What is c(i(g))? 38206256*g Let p(n) = 3*n. Let g(u) be the second derivative of -377*u**4/12 - 125*u + 14. Calculate g(p(c)). -3393*c**2 Let a(d) = 3*d**2. Let w(z) = -17*z**2 - 6*z - 410. Let p(o) = 48*o**2 + 17*o + 1230. Let t(u) = 6*p(u) + 17*w(u). Determine t(a(f)). -9*f**4 + 410 Let v(r) be the third derivative of 5*r**5/12 - r**3/6 - 33*r**2. Let p(z) be the third derivative of -z**5/10 + 2779*z**2. What is v(p(x))? 900*x**4 - 1 Let w = 533 + -521. Let g(j) = 26*j - w*j - 12*j. Let l(u) = 6*u - 6. Let f(y) = -6*y + 5. Let q(t) = 6*f(t) + 5*l(t). Determine q(g(a)). -12*a Let t(f) = -1042995382*f. Let v(a) = a**2. What is t(v(n))? -1042995382*n**2 Let s(c) = -c**2. Let y(r) = -147817688*r. Determine y(s(x)). 147817688*x**2 Let d(y) = -2*y - 2*y - 3*y. Let l(j) be the first derivative of 9*j**3 + 6310. Give d(l(z)). -189*z**2 Let o(b) = b - 14. Let l(v) = 3 + 13*v + 2*v - 28*v + 14*v. Give l(o(k)). k - 11 Let p(c) be the second derivative of -c**3/2 - 12*c - 51. Let h(s) = -s**2 - 169. Give h(p(d)). -9*d**2 - 169 Let t(b) = 3622*b**2. Let x(k) = 0*k**2 + 2*k**2 - 2395*k + 2395*k. Calculate x(t(h)). 26237768*h**4 Let p(t) = 47007991*t**2. Let q(f) = f**2. Give p(q(a)). 47007991*a**4 Let y(n) = -146*n - 2. Let k(r) = -r - 1. Let w(p) = 5*p**2 + 20*p + 20. Let s(a) = -20*k(a) - w(a). What is y(s(b))? 730*b**2 - 2 Let d(n) = -24*n**2. Let u(j) = -10*j**2 - 2*j + 2. Let t be u(2). Let s = t + 75. Let b(g) = 17*g - s*g + 17*g. Determine b(d(w)). -24*w**2 Suppose -y = -2*r - 2*r - 14, 4*r + 22 = 5*y. Let d be 5/((-15)/(-2))*3. Let j(h) = -13*h**y + 5*h**d + 6*h**2. Let c(n) = -n. Determine c(j(p)). 2*p**2 Let t(c) be the second derivative of -4*c - 3 + 0*c**2 + 10/3*c**3. Let v(s) = -4*s. What is t(v(a))? -80*a Let n(z) = -z + 3*z + 2*z. Let a(g) = 2*g**2 + 36*g + 9. Let h(k) = k**2 + 32*k + 8. Let j(m) = -8*a(m) + 9*h(m). What is n(j(f))? -28*f**2 Let w(y) = 3*y**2. Let t(h) = 221*h + 116*h - 49*h - 56*h + 159*h. Calculate t(w(k)). 1173*k**2 Let u(c) be the third derivative of 2 + 1/10*c**5 + 14/3*c**3 - 133*c**2 + 0*c**4 + 0*c. Let a(m) = -2*m**2. Give a(u(z)). -72*z**4 - 672*z**2 - 1568 Let b = -14 + 36. Suppose 4*w - 3*q = 12 + 17, -2*w = -4*q - b. Let x(l) = l - w*l + 9*l - 2*l. Let k(j) = -11*j. Determine k(x(v)). -33*v Let p(u) = 14455*u**2. Let z(a) = -490*a**2. Let n(v) = 5*p(v) + 147*z(v). Let g(d) = -6*d. Determine n(g(h)). 8820*h**2 Let m(d) = 3*d. Let u be (-8 - (-21)/3)*70/(-2). Let h(y) = u*y**2 - 56*y**2 + 34*y**2 - 1. What is m(h(x))? 39*x**2 - 3 Let j(q) = -148*q - 2. Let o(i) = -32*i**2 + 3*i + 3. Let f(t) = -99*t**2 + 10*t + 10. Let g(c) = 3*f(c) - 10*o(c). What is j(g(m))? -3404*m**2 - 2 Let z(o) = -2*o**2. Let y(t) be the first derivative of -7358*t**3/3 - t**2 + 5578. What is y(z(i))? -29432*i**4 + 4*i**2 Let c(v) = -1822*v**2. Let l(z) = -54680*z. Calculate c(l(d)). -5447602172800*d**2 Let a = 3 + -1. Suppose -4 = a*l, 2*v = 5*l + 49 - 11. Let f(x) = -2*x - 12*x**2 + 2*x + v*x**2. Let q(w) = -9*w**2. Determine q(f(s)). -36*s**4 Let t(r) = -49724*r - 2. Let b(p) = p**2. Determine b(t(z)). 2472476176*z**2 + 198896*z + 4 Let z(r) = 8*r**2. Let p(l) be the second derivative of l**5/15 + 11*l**3/2 + 74*l. Let c(n) be the second derivative of p(n). Calculate z(c(m)). 512*m**2 Let p(u) be the second derivative of 25*u**3/6 + 20*u - 29. Let d(w) = -3*w + 4. Let c(s) = 10*s - 14. Let y(t) = 6*c(t) + 21*d(t). Calculate y(p(k)). -75*k Let y(s) be the second derivative of -s**3/3 + s**2 + 123*s. Let v(q) = -q + 2. Let k(h) = -v(h) + y(h). Let b(l) = -13*l. Calculate b(k(c)). 13*c Let q(l) be the second derivative of l**3/2 + 2*l. Suppose -631 = -16*y - 439. Let a(d) = -y*d**2 - 12 + 1 + 6 + 5. Give a(q(h)). -108*h**2 Let j(m) = 1598*m - 896*m - 1301*m. Let d(v) = -10*v. What is j(d(r))? 5990*r Let x(c) = -544773845*c. Let v(r) = 4*r**2. Give x(v(o)). -2179095380*o**2 Let r(y) = -13 - 7 - 7*y + 33 - 13. Let p(z) = 92*z. Determine p(r(v)). -644*v Let q(l) = -69*l**2. Let d(p) = p + 6. Let r(s) = 2*s + 12. Let a(m) = -9*d(m) + 4*r(m). Let h(u) = 3*u + 17. Let i(w) = -17*a(w) - 6*h(w). Give q(i(x)). -69*x**2 Let l(f) = 3112192*f**2 + 4. Let w(u) = 31*u. Calculate l(w(j)). 2990816512*j**2 + 4 Suppose 5*y - 7 = 2*f - 107, -4*y = 2*f - 64. Let p(q) = 29*q**2 - 56*q**2 + f*q**2. Let a(h) = -5*h**2. Give a(p(b)). -845*b**4 Let c be (38/(-14) + 3)*(-5 + 12). Let h(z) = 6*z**2 + 5*z**2 + 2*z**2 - 3*z**c. Let y(b) = -9*b**2. Let j(m) = -4*h(m) - 5*y(m). Let q(s) = -s. Give j(q(d)). 5*d**2 Let b(j) = 163*j**2. Let r(a) = 99173*a. Determine r(b(s)). 16165199*s**2 Let m(r) = -8*r**2 - r - 3. Let i(n) = -1620*n**2 - 162*n - 486. Let z(k) = -5*i(k) + 810*m(k). Let o(t) = -t. Determine z(o(p)). 1620*p**2 Let y(l) = -3*l. Let x(j) be the third derivative of -j**6/180 + 13*j**4/24 - 37*j**3/3 + 90*j**2. Let a(s) be the first derivative of x(s). Determine y(a(o)). 6*o**2 - 39 Let l(k) = -40*k + 15. Let x(y) = -2061*y - 1. Determine x(l(p)). 82440*p - 30916 Let y be 36/(-144) + (-281)/(-4). Suppose -4*r + 4*v = -6 - y, 2*r + v = 23. Let s(n) = -1149 + r*n + 1149. Let p(z) = -7*z. What is s(p(q))? -98*q Let j(g) = 6*g**2 + 6*g - 6. Let n(v) = -2*v**2 - v + 1. Let f(h) = 5*j(h) + 30*n(h). Let a(u) = 7*u. Calculate a(f(i)). -210*i**2 Let k(j) = j - 1132. Let v(r) = -12*r + 2. Let p(q) = 95*q - 16. Let b(i) = 5*p(i) + 40*v(i). What is k(b(a))? -5*a - 1132 Let v(a) = -1619*a**2 + 28708 - 28708. Let o(d) = 2*d. Calculate o(v(q)). -3238*q**2 Let u(k) = 20*k - 1. Let h(b) be the third derivative of 0*b**3 + 0 - 5/24*b**4 + 14*b - 5*b**2. Determine u(h(r)). -100*r - 1 Let i(t) = -1224*t + 2426*t - 1208*t + 1. Let g(c) be the third derivative of -c**4/24 - 5*c**2. Calculate g(i(o)). 6*o - 1 Let m(s) = -4*s + 18. Let h(j) = 2392*j**2 + 5*j - 3. Give h(m(z)). 38272*z**2 - 344468*z + 775095 Let k(i) be the third derivative of -i**4/24 + 13*i**2. Let m be (-4)/14 - (-1 - 100/7). Let r(q) = m*q - 7*q + 9*q + 2*q. What is r(k(o))? -19*o Let w(s) = 2*s**2. Let z = 12 + -2. Let n(d) = -3 + z - 45*d - 7. Determine n(w(g)). -90*g**2 Let r(n) = -17*n. Let j(h) = 19078043*h. What is r(j(u))? -324326731*u Let r(a) be the third derivative of -a**4/8 + 23*a**2 - a + 1. Let y(z) = z**2 + 180. Determine r(y(b)). -3*b**2 - 540 Suppose r = q + 3*q + 3, -4*r = -q - 42. Let f(b) = -26*b + 11. Let i(p) = -14*p + 6. Let j(s) = r*i(s) - 6*f(s). Let m(z) = -7*z - 9. Give j(m(u)). -14*u - 18 Let l(x) = -x + 1. Let y(v) = -v**2 - v + 52. Let m(o) = -l(o) + y(o). Let z(r) be the first derivative of m(r). Let i(j) = -j. Determine i(z(w)). 2*w Let m(x) = 1799*x**2. Let t(i) = -154348*i. Calculate t(m(h)). -277672052*h**2 Let v(j) = 2026*j. Let x(o) be the second derivative of -o**4/6 + 10224*o. What is v(x(p))? -4052*p**2 Let y(j) = -8*j**2 + 3*j - 1 - 12*j**2 + 21*j**2. Let o(i) = 2*i**2 + 15*i - 5. Let l(f) = -o(f) + 5*y(f). Let c(b) = 35*b. Calculate c(l(d)). 105*d**2 Let x(k) = -2*k**2 - 5*k. Let o(v) = v. Let l(d) = 5*o(d) + x(d).
{ "pile_set_name": "DM Mathematics" }
7 Solve -254*u + 733 + 2091 = -141*u - 466*u for u. -8 Solve 0*d = 69*d - 7*d - 2*d + 1080 for d. -18 Solve 0 = 306*p - 10937 + 609 - 5261 - 17 for p. 51 Solve 0 = 3345*j + 26048 + 38444 - 268537 for j. 61 Solve -4324*f = -90700 + 579312 for f. -113 Solve 30098 = 52*x + 29370 for x. 14 Solve -14995 = -2827*m + 38718 for m. 19 Solve 149667 + 181021 = 5167*u for u. 64 Solve -2133 = 210*w + 255*w - 544*w for w. 27 Solve 3390*o = 3380*o - 890 for o. -89 Solve 12*d + 540 - 2388 = -0*d - 1260 for d. 49 Solve -68*o = 183145 - 188585 for o. 80 Solve 292*z - 37*z + 371*z + 21*z + 1941 = 0 for z. -3 Solve 5588*p - 311*p + 69806 = 1091*p - 2160*p for p. -11 Solve -24*u + 406*u - 13*u = -242*u + 14664 for u. 24 Solve -72*u - 3146 = 32*u - 609 + 687 for u. -31 Solve 111*h - 4598 = -12590 for h. -72 Solve 62508 = -960*l + 42984 - 92796 for l. -117 Solve -4636*n + 1173 = -2341*n - 2346*n for n. -23 Solve -1602 = -12*a + 11*a - 22*a - 291 for a. 57 Solve 1516*o - 39571 = -17099 + 44232 for o. 44 Solve -366*m - 86*m + 42210 = 19*m + 199*m for m. 63 Solve -85*c + 178834 = 174244 for c. 54 Solve -1008*m + 17849 = -4623*m + 43154 for m. 7 Solve 0 = -133*z + 3483*z - 231150 for z. 69 Solve -89*z = 84*z + 32*z - 6355 for z. 31 Solve 127*g - 154 = 50*g + 66*g for g. 14 Solve 249*q - 182*q + 4024 = 698*q + 36205 for q. -51 Solve 3666*f - 31956 + 339900 = 0 for f. -84 Solve -5*i + 27*i + 2634 = -43*i - 2111 for i. -73 Solve -4065*j + 465064 - 48599 = 39154 - 151139 for j. 130 Solve -739*k + 90022 = -34*k + 1252*k for k. 46 Solve -929 = -459*u + 12382 for u. 29 Solve 0 = 4842*g - 4893*g - 153 for g. -3 Solve -93*d + 29611 = 30727 for d. -12 Solve 63 = 2*n + 431*n + 5692 for n. -13 Solve 314580*k - 314524*k - 1792 = 0 for k. 32 Solve 985*z - 1938*z + 990*z - 1854 + 559 = 0 for z. 35 Solve 181*r + 35*r = -9531511 + 9553111 for r. 100 Solve -95*c + 2792 = 254*c for c. 8 Solve -4837*t = 551319 + 38795 for t. -122 Solve 30883*l = 61729*l - 30917*l - 781 for l. -11 Solve 846*u + 143*u + 7820 - 5131 = -7201 for u. -10 Solve 5723*q - 3062*q = 2900*q + 1434 for q. -6 Solve -15211*z - 26900 - 225183 - 92820 - 50583 = 0 for z. -26 Solve 0 = -3673*s + 3649*s + 1032 for s. 43 Solve -9759 + 5118 = 66*g - 5169 for g. 8 Solve -10240*b = 521*b + 559889 - 230144 + 574179 for b. -84 Solve -167*k - 353*k + 481*k = 327*k - 28182 for k. 77 Solve 2015*p + 749*p + 39284 = -42*p for p. -14 Solve 222700 = -4941*m - 69556 - 152434 for m. -90 Solve -1501786*r - 2494 = -1501844*r for r. 43 Solve 71*q + 1218 = -768 - 2 for q. -28 Solve -3851434*l + 3851172*l = -1572 for l. 6 Solve 206*f + 1631*f + 18748 = 75695 for f. 31 Solve -14374 = -777*p - 39238 for p. -32 Solve -912923*y = -913103*y - 9180 for y. -51 Solve 75 + 182 = -34*h + 189 for h. -2 Solve 0 = -26*i - 16*i + 167 - 607 - 400 for i. -20 Solve -25 + 301 + 834 = -49*v + 179 for v. -19 Solve -993*n + 9114 = -1140*n for n. -62 Solve -1080*s - 129 = 1121*s + 24082 for s. -11 Solve -65349 + 3266 = -2150*p + 51867 for p. 53 Solve -24688 = -919*u + 5052 + 12365 + 3845 for u. 50 Solve 7*u + 8*u - 10835 + 9925 = 8*u for u. 130 Solve 2191497 = 90*y + 2193117 for y. -18 Solve 648*t + 2233*t = -1245*t + 280568 for t. 68 Solve 65*n + 1952 + 3263 = -2001 - 1559 for n. -135 Solve 0 = -93*v + 12776 - 35403 + 18535 for v. -44 Solve 15610*k - 17471*k + 39081 = 0 for k. 21 Solve -365*s - 256*s - 2104 + 78752 = 250*s for s. 88 Solve -27494*r + 27608*r = 6270 for r. 55 Solve -311*g - 21103 + 3169 = 881*g + 58354 for g. -64 Solve 0 = 43999*j - 22015*j - 21901*j - 3154 for j. 38 Solve -31557*n + 31566*n = -621 for n. -69 Solve -233*x + 760142 - 747094 = 0 for x. 56 Solve 207*l - 842*l = -3175 for l. 5 Solve 0 = -3202*j - 166393 + 12697 for j. -48 Solve 25230*f - 28480 = 3710*f - 351280 for f. -15 Solve 0 = -35209*g + 35213*g - 60 for g. 15 Solve 59655 = 1182*w + 1277*w - 215753 for w. 112 Solve -579*j = 1797*j + 41*j + 33838 for j. -14 Solve 2862055 = 581*a + 2847530 for a. 25 Solve -15*m = -116545 + 116770 for m. -15 Solve -751 + 73 = -49*b - 1305 - 2117 for b. -56 Solve -4*g + 687*g = 46*g - 22932 for g. -36 Solve 4250*a = -5077*a - 7188*a + 1321200 for a. 80 Solve 6*l + 41*l + 778 = -20*l - 897 for l. -25 Solve 1533755*m - 6084 = 1533599*m for m. 39 Solve -58*k - 5671405 = -5673145 for k. 30 Solve 8488 = 3771*a + 46198 for a. -10 Solve -184*a + 10194 = -7413 - 3737 for a. 116 Solve -1918*m = -1997*m - 1343 for m. -17 Solve -9976 - 2422 - 11991 = 1032*t - 2717 for t. -21 Solve 43206 - 11189 = 90*z + 227*z for z. 101 Solve 64884 - 23375 = 149*g + 254*g for g. 103 Solve -1600*f - 512*f = 27518 - 15070 + 17120 for f. -14 Solve 910*d + 1166*d = -123*d - 68987 - 3580 for d. -33 Solve -348*x + 84767 = 1943*x for x. 37 Solve -174*j - 209*j + 71*j - 3120 = 0 for j. -10 Solve 2066*b - 11411 + 40335 = 0 for b. -14 Solve -479*s + 230*s = -169*s - 154*s + 2812 for s. 38 Solve 1182*p - 4274 = 2818 for p. 6 Solve 54237 - 1899 = -2013*m for m. -26 Solve 200772 = 2224*l + 3353*l for l. 36 Solve -1527*u = 141066 - 215889 for u. 49 Solve 0 = 2770*t + 14999 + 23781 for t. -14 Solve -1606*a + 51458 = 733*a for a. 22 Solve -1679*s + 3220*s + 64890 = -2064*s for s. -18 Solve 3292*v = 4918*v + 76422 for v. -47 Solve -354*a - 21627 = -8883 for a. -36 Solve -2836*v + 19440 = -9316*v for v. -3 Solve 12077 - 1938 = 198*r - 10375 + 1902 for r. 94 Solve 426*r - 1354347 = 7080*r + 6495*r for r. -103 Solve 0 = 3972*y + 6474*y - 1138614 for y. 109 Solve 1898 = -16*q + 111*q - 898 + 6406 for q. -38 Solve -990*r - 35494 - 65839 = 11527 for r. -114 Solve -337*n + 57*n + 6150 = -32*n + 162*n for n. 15 Solve 0 = 18*z - 138*z + 538 + 2582 for z. 26 Solve 71768*u - 74175*u + 303282 = 0 for u. 126 Solve 194*k = -445*k + 916 - 11779 for k. -17 Solve 190*o - 866*o - 5160 = 356*o for o. -5 Solve -2058*j + 54673 - 12033 + 33506 = 0 for j. 37 Solve 5407*f = 6056*f + 12980 for f. -20 Solve 199*p - 10102 = -152*p + 83*p + 8926 for p. 71 Solve 766*q + 1778*q + 145*q + 59158 = 0 for q. -22 Solve 0 = -76*h + 77*h - 117*h - 4060 for h. -35 Solve 0 = 1819*g - 21821 - 96414 for g. 65 Solve 753*v - 17921 - 14830 = 10170 for v. 57 Solve 0 = 808*w + 133966 - 72558 for w. -76 Solve 1368 = 9232*r - 9004*r for r. 6 Solve 2158 = 119*t + 1307 - 1529 for t. 20 Solve -588*c + 184*c - 319*c + 21349 = 77020 for c. -77 Solve -60984 = 11499*w - 11983*w for w. 126 Solve 514*c - 2*c - 156*c = -274*c - 1890 for c. -3 Solve -55*m + 42*m + 39*m = 884 for m. 34 Solve 123*z + 147*z = -113*z + 19584 - 5796 for z. 36 Solve 2431*l = -122*l - 119991 for l. -47 Solve 47*h - 40*h + 2366 = 34*h + 64*h for h. 26 Solve 1383*y = 6194 + 9019 for y. 11 Solve -3733*d + 79386 = -4339*d for d. -131 Solve 1273*d - 51*d + 31871 + 32895 = 0 for d. -53 Solve -780*s + 369*s + 9484 = -10532 + 699 for s. 47 Solve -88*a + 37*a = 77*a for a. 0 Solve 685*v - 1856 = -12675 - 26856 for v. -55 Solve -45599 = 4828*u + 65445 for u. -23 Solve -676*x + 2337 = 15857 for x. -20 Solve -96*i = 114*i - 3470 - 310 for i. 18 Solve 0 = 875*r + 765*r + 4989 - 327 + 5178 for r. -6 Solve -246*u + 682*u = 1937 + 5620 + 11191 for u. 43 Solve 712 + 154 = -51*h - 217 - 498 for h. -31 Solve -1804*v = -39*v + 2062*v - 678*v + 176344 for v. -56 Solve 21060*k + 800*k = 1659*k + 303015 for k. 15 Solve -193*u = 724*u + 16506 for u. -18 Solve -54570 = -206*k - 46948 for k. 37 Solve 2555*g = -1370*g - 1172*g + 188589 for g. 37 Solve 0 = 10035*l - 9601*l + 21700 for l. -50 Solve -177*y = 62*y - 687*y + 230*y - 1962 for y. -9 Solve 803*h = 12380 + 51860 for h. 80 Solve 2038*j = 18124 + 4294 for j. 11 Solve 3784*x + 10801*x + 10756 + 56935 + 63574 = 0 for x. -9 Solve -321*o + 9648 = 280*o + 308*o - 837*o for o. 134 Solve -37*w = 460073 - 458852 for w. -33 Solve 184838 = -358*i + 181974 for i. -8 Solve -370319*m + 370251*m = -7684 for m. 113 Solve -246464*w + 246758*w = 3822 for w. 13 Solve -27837*n + 55614 = -27239*n for n. 93 Solve -71*k = -62*k + 56*k - 585 for k. 9 Solve -236*h = -13933 - 7652 + 11437 for h. 43 Solve 1098*w + 542*w - 2711*w = 3296*w - 179047 for w. 41 Solve 72*s - 380 = -3 + 127 for s. 7 Solve 5260 = -232*i - 1179*i - 384 for i. -4 Solve -386*k - 608 = -776 + 3256 for k. -8 Solve -246*f - 719*f - 1143 = -287*f - 9279 for f. 12 Solve 3117*c - 15769 - 99560 = 0 for c.
{ "pile_set_name": "DM Mathematics" }
of 101441641? 7, 31, 467473 What are the prime factors of 3584260442? 2, 7, 43, 5953921 What are the prime factors of 543899384? 2, 7, 9712489 List the prime factors of 1017495420. 2, 3, 5, 16958257 List the prime factors of 482371614. 2, 3, 151, 177473 What are the prime factors of 964890186? 2, 3, 13, 19, 34267 What are the prime factors of 42581087? 4877, 8731 What are the prime factors of 679937730? 2, 3, 5, 23, 985417 What are the prime factors of 67663376? 2, 11, 107, 3593 List the prime factors of 39519010. 2, 5, 47, 1789 What are the prime factors of 41006928? 2, 3, 29, 89, 331 What are the prime factors of 165432935? 5, 103, 139, 2311 List the prime factors of 34007019. 3, 109, 103997 What are the prime factors of 5965625882? 2, 12197, 244553 List the prime factors of 229351380. 2, 3, 5, 3822523 What are the prime factors of 319191893? 29, 2113, 5209 What are the prime factors of 659372112? 2, 3, 7, 167, 3917 What are the prime factors of 742811678? 2, 7, 41, 199, 929 What are the prime factors of 51209653? 11, 661, 7043 List the prime factors of 261078320. 2, 5, 229, 14251 What are the prime factors of 743369863? 17, 31, 109, 12941 What are the prime factors of 87033222? 2, 3, 4835179 List the prime factors of 55642390. 2, 5, 199, 27961 What are the prime factors of 253888613? 11, 2098253 What are the prime factors of 1305150386? 2, 8803, 74131 What are the prime factors of 47701364? 2, 3121, 3821 What are the prime factors of 1142832624? 2, 3, 89, 267517 What are the prime factors of 3782445828? 2, 3, 7, 1459, 4409 What are the prime factors of 2293094019? 3, 229, 3337837 List the prime factors of 47243650. 2, 5, 944873 What are the prime factors of 44321096? 2, 5540137 What are the prime factors of 4443431061? 3, 1481143687 List the prime factors of 54356601. 3, 13, 43, 32413 What are the prime factors of 115361342? 2, 57680671 What are the prime factors of 1676289732? 2, 3, 13, 10745447 List the prime factors of 20218519. 109, 185491 What are the prime factors of 37783125? 3, 5, 2239 List the prime factors of 5838791624. 2, 729848953 What are the prime factors of 235616124? 2, 3, 17, 233, 4957 List the prime factors of 8804841641. 29, 37, 8205817 List the prime factors of 196845254. 2, 37, 2660071 List the prime factors of 47685819. 3, 547, 29059 List the prime factors of 819724571. 5653, 145007 List the prime factors of 1413220204. 2, 11, 433, 74177 List the prime factors of 1130639317. 1130639317 List the prime factors of 475387630. 2, 5, 613, 77551 What are the prime factors of 131172093? 3, 13, 607, 1847 What are the prime factors of 2391142505? 5, 478228501 What are the prime factors of 812783124? 2, 3, 17, 1328077 What are the prime factors of 54963312? 2, 3, 17, 193, 349 List the prime factors of 1240677435. 3, 5, 101, 197, 4157 List the prime factors of 114481030. 2, 5, 769, 14887 What are the prime factors of 46271284? 2, 11567821 What are the prime factors of 663666157? 7, 11, 8619041 What are the prime factors of 126488784? 2, 3, 1033, 2551 List the prime factors of 25146125. 5, 37, 5437 What are the prime factors of 190892072? 2, 7, 3408787 What are the prime factors of 155699853? 3, 6689, 7759 List the prime factors of 115968512. 2, 11, 59, 349 List the prime factors of 1131805257. 3, 11, 31, 89, 401 List the prime factors of 42620016. 2, 3, 317, 2801 List the prime factors of 467167640. 2, 5, 11679191 List the prime factors of 201944066. 2, 79, 103, 12409 What are the prime factors of 358800064? 2, 7, 29, 27617 List the prime factors of 624621371. 11, 19, 2988619 List the prime factors of 15541547. 7, 109, 20369 What are the prime factors of 139517497? 7, 139, 223, 643 What are the prime factors of 1147658698? 2, 12301, 46649 What are the prime factors of 82596757? 347, 238031 List the prime factors of 37979873. 37979873 What are the prime factors of 708241469? 13, 31, 379, 4637 List the prime factors of 345710697. 3, 367, 313997 What are the prime factors of 49556725? 5, 1982269 List the prime factors of 3684631. 17, 216743 What are the prime factors of 91805154? 2, 3, 7, 601, 3637 List the prime factors of 1562745928. 2, 195343241 List the prime factors of 5591757074. 2, 499, 743, 7541 What are the prime factors of 226347476? 2, 56586869 What are the prime factors of 135343788? 2, 3, 41, 239, 1151 What are the prime factors of 53935061? 53935061 List the prime factors of 32373418. 2, 7, 11, 59, 509 List the prime factors of 2390507601. 3, 53, 15034639 List the prime factors of 506033953. 103, 4912951 List the prime factors of 247575129. 3, 82525043 List the prime factors of 684984856. 2, 85623107 What are the prime factors of 407818424? 2, 13, 881, 4451 What are the prime factors of 566961962? 2, 7, 40497283 List the prime factors of 185986879. 13, 1951, 7333 List the prime factors of 1972950187. 13, 79, 229, 8389 List the prime factors of 2634797044. 2, 11, 113, 529927 List the prime factors of 3203467235. 5, 179, 197, 18169 What are the prime factors of 280446484? 2, 17, 4124213 What are the prime factors of 21641138? 2, 10820569 What are the prime factors of 545018613? 3, 199, 912929 What are the prime factors of 133246905? 3, 5, 11, 19, 2237 What are the prime factors of 5736520378? 2, 79, 36307091 What are the prime factors of 144305555? 5, 311, 92801 List the prime factors of 39440733. 3, 59, 443, 503 What are the prime factors of 1420935486? 2, 3, 1063, 222787 What are the prime factors of 130819627? 130819627 What are the prime factors of 46401556? 2, 11600389 What are the prime factors of 3473550620? 2, 5, 23, 31, 243587 List the prime factors of 187709863. 11, 2593, 6581 List the prime factors of 1024846010. 2, 5, 102484601 List the prime factors of 75946919. 75946919 List the prime factors of 4814894. 2, 7, 239, 1439 What are the prime factors of 5167655672? 2, 1061, 608819 What are the prime factors of 1079640127? 1079640127 List the prime factors of 302570238. 2, 3, 37, 1362929 What are the prime factors of 1694054851? 41, 61, 97, 6983 List the prime factors of 720650786. 2, 9733, 37021 List the prime factors of 5697068404. 2, 61, 1201, 19441 What are the prime factors of 47483808? 2, 3, 601, 823 What are the prime factors of 6361109680? 2, 5, 79513871 What are the prime factors of 2049637689? 3, 11, 766793 List the prime factors of 271046020. 2, 5, 7, 19, 31, 173 What are the prime factors of 83548022? 2, 1223, 34157 What are the prime factors of 65195786? 2, 193, 168901 What are the prime factors of 45858172? 2, 19, 41, 14717 List the prime factors of 19911089. 11, 173, 10463 What are the prime factors of 39743615? 5, 7948723 List the prime factors of 2728858205. 5, 2503, 218047 List the prime factors of 1254222006. 2, 3, 151, 1384351 What are the prime factors of 3549100348? 2, 31, 89, 321593 List the prime factors of 135081572. 2, 47, 61, 11779 What are the prime factors of 1803146164? 2, 47, 199, 48197 List the prime factors of 29479175. 5, 11, 107197 What are the prime factors of 6623220500? 2, 5, 13, 1018957 What are the prime factors of 2043232298? 2, 19, 53769271 List the prime factors of 131728229. 131, 359, 2801 What are the prime factors of 158657929? 389, 407861 What are the prime factors of 155030008? 2, 7, 31, 89303 List the prime factors of 77697124. 2, 19424281 List the prime factors of 313548771. 3, 41, 2549177 List the prime factors of 566417281. 79, 1657, 4327 List the prime factors of 2314766909. 7, 13, 3633857 What are the prime factors of 369235977? 3, 11, 1017179 List the prime factors of 1087350831. 3, 7, 5753179 List the prime factors of 5636210487. 3, 2069, 908041 List the prime factors of 100131416. 2, 7, 11, 53, 3067 What are the prime factors of 4955060170? 2, 5, 113, 4385009 What are the prime factors of 56215711? 56215711 What are the prime factors of 1721307392? 2, 7, 17, 56503 What are the prime factors of 436272598? 2, 17, 107, 119921 List the prime factors of 519123599. 149, 3484051 List the prime factors of 11953018. 2, 7, 11, 77617 List the prime factors of 57753023. 23, 2511001 List the prime factors of 1317235017. 3, 7, 62725477 List the prime factors of 12314589. 3, 7, 29, 73, 277 What are the prime factors of 44934277? 223, 201499 What are the prime factor
{ "pile_set_name": "DM Mathematics" }
4*x = -2. Let i be x - (-4 + (3 - 0)). Let h be 108/(-10) - i/(-5). Determine h*g(t) - 4*k(t). t + 1 Let a = 11 - 14. Let i(n) be the first derivative of n**2/2 + 11*n + 24. Let j(o) = o + 6. Give a*i(x) + 5*j(x). 2*x - 3 Let b(s) = -4*s + 9. Let f(n) = -n. Suppose 0 = 2*u - 4*i + 14, -16 = 4*u - 9*i + 4*i. Determine u*b(m) - 3*f(m). -m + 9 Let x(k) = 6*k**2 - 19*k - 1. Let o(w) = -12*w**2 + 33*w + 1. Calculate -3*o(j) - 5*x(j). 6*j**2 - 4*j + 2 Let q(m) = 7*m**2 - 2*m - 2. Let z(b) = -124*b + 15 + 10 - 85*b**2 + 149*b. Determine 50*q(t) + 4*z(t). 10*t**2 Let c(z) be the second derivative of z**5/4 + 5*z**4/12 + z**3 - 60*z + 5. Let g(s) = -6*s**3 - 5*s**2 - 7*s. Calculate 5*c(x) + 4*g(x). x**3 + 5*x**2 + 2*x Let d(m) = 7*m**2. Let g(r) = -8*r**2. Let n = 35 - 23. Suppose 3*f + n = -0*f. Give f*d(b) - 3*g(b). -4*b**2 Let h(o) = -o**3 - o**2 - o + 1. Let s(f) = 4*f**3 + 7*f**2 + 6*f - 5. Let m be (-1 + 8/6)/(2/6). Let x(l) = -l + 7. Let n be x(2). Determine m*s(t) + n*h(t). -t**3 + 2*t**2 + t Let i(k) = -8*k - 1. Let q(t) = -10*t - 2. What is -7*i(r) + 3*q(r)? 26*r + 1 Let z(a) = 10*a**2 + 12. Let k(j) = -61*j**2 - 68. What is -6*k(i) - 34*z(i)? 26*i**2 Let t(r) = 2*r**3 - 3*r**2 - 7*r + 4. Let o(j) = j. Give 5*o(h) + t(h). 2*h**3 - 3*h**2 - 2*h + 4 Let y(n) = n**3 - 2*n**2 - 4*n + 13. Let w be y(4). Suppose -9 = 4*z + 2*i - w, 5*z - 20 = -5*i. Let j(h) = -3*h. Let p(m) = m. What is z*j(g) + 15*p(g)? -3*g Let d(m) = -2*m**3 + 9*m**2 - 3*m - 144. Let t(w) = w**3 - 6*w**2 + 2*w + 145. What is -2*d(y) - 3*t(y)? y**3 - 147 Let n(z) = 4*z**3 + z**2. Let h(a) = -12*a**3 - 3*a**2. Let r(s) = s**3 - 5*s**2 + 5*s - 23. Let v be r(5). Let u be -5*2*v/(-5)*1. Determine u*h(d) + 11*n(d). -4*d**3 - d**2 Let d(b) = -b**2 + 5*b - 2. Let l(q) = -q**2 + 1. Let x(j) = d(j) - 3*l(j). Let o(i) = 2*i**2 + 5*i - 4. What is 4*o(f) - 3*x(f)? 2*f**2 + 5*f - 1 Let b(z) = 17*z**2 + 6*z**2 + 3*z - 22*z**2 - 1. Let c(o) = -o**2 - 4*o + 1. Let f(s) = s**2 + 2. Let y = -2 - -4. Let r be f(y). What is r*b(t) + 5*c(t)? t**2 - 2*t - 1 Let y(a) = 8*a + 3. Suppose -v = 9 - 6. Let f(t) = t + 1. Give v*f(r) + y(r). 5*r Let z(c) be the first derivative of c**2 + 1. Let f(x) = -x. Suppose -g - 3*j + 6 = 0, 0 = -23*g + 18*g - 2*j + 17. Let q = 11 - 6. Determine g*z(m) + q*f(m). m Let m(w) = -32*w - 8. Let s(f) = f**2 + f - 2. Calculate -m(y) + 4*s(y). 4*y**2 + 36*y Let a(l) = 4*l**2 + 9*l. Let w(t) = 11*t**2 - 4*t**2 + 4*t**2 + 2*t**2 + 19*t + 1 - 4*t**2. Calculate -5*a(b) + 2*w(b). -2*b**2 - 7*b + 2 Let b(u) be the first derivative of -u**2/2 + 19. Let s(n) = 3*n. Let g be (4/(-4))/((-1)/(-4)). Let t = g + 6. What is t*s(m) + 5*b(m)? m Let f(q) = -q - 2. Let p(w) = 9*w - 14. Give 14*f(l) + 2*p(l). 4*l - 56 Let t(j) = -4*j**3 + 8*j**2 - 5*j + 10. Let x(h) = h**2 - h. Determine -t(r) + 5*x(r). 4*r**3 - 3*r**2 - 10 Let j(d) = -4*d - 11. Let t(c) = -c + 6. Give -j(g) - 4*t(g). 8*g - 13 Let w(m) = -25*m**2 + 10*m - 5. Let v(n) = -13*n**2 + 4*n - 2. What is -5*v(y) + 2*w(y)? 15*y**2 Let y(f) = f**2 + 2*f. Let a(j) = j**3 - 3*j**2 + 68*j - 2. Determine a(s) + 3*y(s). s**3 + 74*s - 2 Let h(s) = -3*s - 1. Let f(q) = -7*q - 24. Let b(k) = -k - 4. Let l(w) = -6*b(w) + f(w). Determine 2*h(x) - 7*l(x). x - 2 Let j(p) = -13*p + 37. Let w(m) = -17*m + 38. Give 4*j(n) - 3*w(n). -n + 34 Suppose -4*c + 16 = x, 7*c - x - 29 = 2*c. Let k(o) = -22*o**3 - 16*o**2 + 22*o. Let n(y) = 690 + 7*y**3 - 7*y + 5*y**2 - 690. What is c*k(t) + 16*n(t)? 2*t**3 - 2*t Let k(j) = -j - 6. Let l(i) be the third derivative of -i**4/24 - i**3/6 - 55*i**2 + 3*i. Determine k(u) - 5*l(u). 4*u - 1 Let q(w) = -w + 4. Suppose -5*u + s = -18, -3*u - 7*s + 2*s = 6. Let n(t) = -t + 3. What is u*q(l) - 4*n(l)? l Let v = 301 - 302. Let l(q) be the first derivative of 7*q**2 - 1. Let x(y) = -3*y. Let p(d) = 2*d. Let o(k) = -5*p(k) - 3*x(k). Give v*l(f) - 12*o(f). -2*f Let z(d) = 430*d**2 + 3*d - 1. Let c(f) = 861*f**2 + 7*f - 2. Calculate 6*c(n) - 14*z(n). -854*n**2 + 2 Let x(s) = 4*s**3 - 3*s**2 - 3. Suppose 0 = -2*h - 0*h. Suppose h*a = 3*a + 12. Let f(z) = 2 + 4*z**2 + 2 + 127*z**3 - 132*z**3. What is a*x(o) - 3*f(o)? -o**3 Let l(n) = -63*n - 13. Let o(f) = 62*f + 20. Calculate -4*l(p) - 3*o(p). 66*p - 8 Let r(o) = 46*o + 93. Let c(m) = -9*m - 18. Give 11*c(p) + 2*r(p). -7*p - 12 Let y = 5 - 3. Let n(p) = p**y + p**2 - 19*p + p**2 - p**3 + 16*p. Let m(o) = -2*o**2 + 2*o. Let w(u) = -u + 3. Let h be w(6). Give h*m(f) - 2*n(f). 2*f**3 Let y(h) = 19*h. Let q(f) = -39*f. Suppose 3*j - 5*n = 17 - 4, 0 = -n + 1. Calculate j*q(z) + 13*y(z). 13*z Let g(k) = -3*k + 3. Let i(r) = -1. Let l(x) = 2*x + 20. Let w be l(-8). Calculate w*i(n) + g(n). -3*n - 1 Let g(a) = -23*a**2 - 5*a + 6. Let z be g(3). Let w be z/(-40) - 4/10. Let o(y) = -y**2 + 5*y - 3. Let q(b) = -b**2 + 6*b - 3. What is w*q(v) - 6*o(v)? v**2 + 3 Let b(t) = -3*t - 12. Let y(v) = -2*v - 5. Give -3*b(w) + 5*y(w). -w + 11 Suppose 0 = -13*z - 111 + 20. Let b(m) = 10*m**2 + 4. Let d(c) = -19*c**2 - 7. What is z*b(l) - 4*d(l)? 6*l**2 Let v(c) = c + 11. Let f be v(-6). Let j(y) = 5 + y + 5 - 6. Let h(l) = l + 5. Calculate f*h(q) - 6*j(q). -q + 1 Let c(s) = 7*s + 2. Let z(d) = -2*d - 3. Let k(x) = -c(x) + 2*z(x). Let m(n) = -n - 1. Determine 3*k(h) - 24*m(h). -9*h Let k(i) = -43*i**3 + 12*i**2 - 6*i - 8. Let s(p) = 43*p**3 - 14*p**2 + 7*p + 9. Give -7*k(q) - 6*s(q). 43*q**3 + 2 Let j = -255 + 261. Let w(y) = 7. Let t(l) = -l - 6. Determine j*w(q) + 7*t(q). -7*q Let s(u) = u - 1. Let h(w) = -w - 1. Suppose -5*a + 12 = -i, -i - 2 = 3*a - 6. Determine a*s(p) - h(p). 3*p - 1 Let t(g) = -3*g**2 - 4*g - 4. Let i(w) = 2*w - 19. Let a be i(10). Let c(f) = -f**2 - a + 6*f**2 + 2*f + 5*f + 8. Calculate -4*c(j) - 7*t(j). j**2 Let g(q) = -58 - 12*q - 57 - 8*q + 120. Let s(h) = -60*h + 16. Give -16*g(l) + 5*s(l). 20*l Let s(u) be the first derivative of -3*u**2/2 - 3*u + 34. Let v(b) = -b**2 + 5*b + 5. Let h(f) = -f**2 - 4*f + 3. Let w be h(-4). Give w*v(x) + 5*s(x). -3*x**2 Let n(h) = -19*h + 2. Let y(u) be the third derivative of -5*u**4/6 + u**3/2 + 638*u**2. Calculate -3*n(c) + 2*y(c). 17*c Let t(j) = 179*j + 4. Let p(n) = 119*n + 3. Give 7*p(u) - 5*t(u). -62*u + 1 Let k(z) = -z**3 - z**2 - 3*z. Let h(u) = -3*u**3 - 2*u**2 + 658*u. Calculate -h(i) + 2*k(i). i**3 - 664*i Let u(p) = 6*p + 2. Suppose 3*s + 47 = 32. Let m(z) = 7*z + 2. Let r(k) = -2*k + 13*k + k + 4 + 2*k. Let i(d) = s*m(d) + 2*r(d). Calculate 4*i(f) + 5*u(f). 2*f + 2 Let x(f) = 519 - 279 + 55*f - 265. Let i(j) = -9*j + 4. Let b = 42 + -67. Determine b*i(z) - 4*x(z). 5*z Let f(w) = 109*w**2. Let x(v) = 218*v**2. What is 7*f(p) - 4*x(p)? -109*p**2 Let j(g) = -3*g - 1. Let f(r) = 19*r + 7. Let w(y) = -y**3 - 4*y**2 + 11*y - 9. Let z be w(-5). Calculate z*j(u) - 6*f(u). 3*u - 3 Let i(c) = -c**2 - c - 4. Let v(g) = -g**3 - 4*g**2 + 2*g + 3. Let s be v(-4). Let h(o) = 2*o**2 + o + 5. Give s*i(u) - 4*h(u). -3*u**2 + u Let k(x) = -x**2 + 7*x + 7. Let r = -1 + -2. Let p(s) = -s - 1. Suppose -3*f = -2*q + 2*f - 17, -37 = -3*q - 5*f. Let v be -6*q/1 - -3. Give r*k(w) + v*p(w). 3*w**2 Let y(b) = 8*b**2 + 2*b - 9. Let k(t) = -7*t**2 - t + 8. Determine 5*k(r) + 4*y(r). -3*r**2 + 3*r + 4 Let u(m) = 3*m**3 + 2*m**2 + m - 5. Let z be (5 - (1 + 3))*-13*1. Let q(f) = -f - 18. Let n be q(z). Let d(x) = x**3 - 1. Determine n*d(a) + u(a). -2*a**3 + 2*a**2 + a Let r(f) = -2*f - 2. Let m(j) = 30*j + 5. Calculate m(q) + 5*r(q). 20*q - 5 Let g(u) be the first derivative of -u**4 + 4*u**3/3 + 3*u**2/2 + 1. Let p(i) = 402*i**3 - 403*i**3 + i + 3*i**2 - 3*i**2. Give g(d) - 2*p(d). -2*d**3 + 4*d**2 + d Let t(l) be the second derivative of -l**4/4 - 8*l**3/3 - 3*l + 29. Let o(n) = n**2 + n. What is -5*o(f) - t(f)? -2*f**2 + 11*f Let b(q) = 6*q + 2. Let n(g) = 1. Let s(m) = -b(m) + 3*n(m). Let x(t) be the second derivative of -5*t**3/6 + 2*t. Give 3*s(h) - 4*x(h). 2*h + 3 Let g be -1 + 2*10/(-4). Let z(x) = -3*x**2 - 6. Let t(n) = 6*n**2 + 11. Let p(b) = 3*b**2 - 117*b + 103. Let d be p(38). Give d*z(u) + g*t(u). -3*u**2 Let i(b) = b. Let n = -5 + 6. Let j(k) = 7*k**2 + 5*k - 4. Let d be j(3). Let o = -73 + d. Let q(x) = x**2 - x + 1. Determine n*i(z) + o*q(z). z**2 + 1 Let d(r) = -r**2 - 2. Suppose 8 = -4*v, 0 = -u + v + 2*v + 4. Let h(b) = -4*b**2 + b - 5
{ "pile_set_name": "DM Mathematics" }
k + 12 = -28*s, -3*k = -4*s + 5 for s. -1 Let w(n) = n - 5. Let h be w(6). Let o be h + (-1)/(-1 - 0). Suppose 0 = 1031*m - 858*m - 692. Solve -d - 2 = -o*k, -2*d + 2*k = 6*k - m for d. 0 Let y(f) = f**3 + 4*f**2 - 2*f - 2. Let s be y(3). Suppose -3*d + 14*d - s = 0. Solve o + 3*o + m - d = 0, -o = 2*m - 10 for o. 0 Suppose 5*h = d - 17, -281 = 4*d - 2*h - 295. Solve 40 = 3*y - 5*l, -10 = -4*y - d*l - 0 for y. 5 Let i = 187 + 155. Let t = i - 342. Solve 0 = -5*v - o - 17, t = -5*o - 12 + 2 for v. -3 Let m be (-14)/(-224) + (-1)/16 + (10 - 5). Solve -17 = -h + 4*f, -2*h - f - m = -3 for h. 1 Suppose -3*n - 29 = -4*t, 0 = -12*n + 14*n - 10. Suppose -z + t - 9 = 0. Solve z = 5*s - 4*r - 9, -3*s = -2*r - 5 for s. -1 Suppose 42*r - 41*r = -t + 3, 0 = 2*t - 3*r + 9. Solve -5*i = 10, t = 2*p - i - i - 8 for p. 2 Let t be (0 - (-12)/30)/(3/(-1245)). Let g = t + 168. Solve 10 = -2*q - 2*a - 2*a, -a = -g*q - 5 for q. -3 Let x = 34761 + -34759. Solve x*o - 16 = -m, o - m = -3*m + 14 for o. 6 Let t(m) = -192*m + 10. Let a be t(-1). Let i = a + -200. Solve 0 = -3*l - 9, 2*x + 19 = -i*x - 5*l for x. -1 Suppose 4*a - 22*d - 4 = -25*d, 3*d + 32 = 5*a. Solve -v = -4*t + 23, -8*v + a*v + 34 = 5*t for v. 1 Let y = -1983 - -1987. Solve n = -2*k + y*n - 17, 3 = n for k. -4 Suppose -171*f + 495 = -72*f. Solve -18 = 22*v - 24*v + 4*h, 0 = -f*h - 20 for v. 1 Let h = -52 + 59. Suppose 0 = -5*m + 8 + h. Suppose t + 1 = -3*k, -k + m = t - 0. Solve 0 = 3*l, 0 = u + 4*u - 5*l + t for u. -1 Let b(t) = t**3 + 2*t**2 + t + 67. Let y be b(0). Suppose -62 + y = a. Solve 0 = -5*l - 3*i + 10, 4*l + a*i - 31 = -10 for l. -1 Let w = 42 - 23. Let t(k) = -4*k**2 - 3*k - 44. Let h be t(-8). Let s = h + 308. Solve 4*v + 4*g - 47 = -w, s = 5*v + 4*g for v. 4 Let c be (-19)/((-665)/336) - (-102)/(-170). Solve c*y - 8*y + r + 2 = 0, 0 = -4*y + r - 13 for y. -3 Suppose -l = -3*x + 73, 0 = -2*x + 4*l + 74 - 22. Solve -3*n - x = -5*v + 10*v, 0 = 5*v - 5*n for v. -3 Let r = 148 + -125. Suppose 2*l = -4*c - l + 6, 3*c = 4*l + 17. Suppose -c*z + w = -5, z + 13*w = 8*w + r. Solve -20 = 4*h - v, -z*v + 5*v = 0 for h. -5 Suppose -5*i = 4*r + 172 - 197, -5*r = 3*i - 28. Solve -2*s - 22 = -5*t - r*s, -4*t = s - 19 for t. 5 Suppose 5*w - 14 = -z, -4*z - 14 = -9*z + 3*w. Let d be (-31 - -2)*(-994)/14413. Solve -z*a = -g - 10, -6 + 0 = -d*g - 5*a for g. -2 Suppose 0 = -10*n - 47*n. Solve 4*t - 13 = -5*c, 3*t - c - 5 = -n*t for t. 2 Let f(u) = 9*u**2 + 2*u - 2. Let n(y) = -y**2 - 9*y + 21. Let i be n(-11). Let g be f(i). Solve 0*b = 2*l + 2*b + 12, 4*l + 6 = g*b for l. -4 Suppose 31 + 39 = 14*g. Solve -4*r - 2*o - 6 = 0, -g + 11 = -3*r - 2*o for r. 0 Let h = 4276 - 4273. Solve -h*g + 11 = -2*q, -3*g = -4*q - 7 - 0 for g. 5 Suppose 0 = -4*h - 6*w + 126, -2*h - 4*w + 24 = -36. Solve h*y - 37*y = 2*g + 2, -3*g - 13 = -y for y. 4 Let b be (-32)/(-2) - (28 + 7)/7. Solve 4*d + 13*x - b = 14*x, 3*d - 15 = 3*x for d. 2 Let n = 5 + -3. Suppose -4*q = 12, -n*q = 2*j - 4*q - 12. Let l be 2/j*(-12)/(-2). Solve -4 = 4*g - 0, l*g = -c - 2 for c. 2 Suppose -96 = -180*o + 156*o. Solve 0 = -2*x - 82*n + 83*n, 3*x - o*n + 5 = 0 for x. 1 Let g(o) = -2*o - 11. Let w be 8/(-20) - 58/5. Let i be g(w). Let x = 15 - i. Solve 3*h + 7*l - 16 = 2*l, -3*l + 21 = -x*h for h. -3 Let d be ((-5)/3)/(2/(-12)). Suppose 28*v - 120 = 24*v. Let x(m) = 4*m - 101. Let c be x(27). Solve 0 = -2*p + 5*r - v, c*r = -2*p + 2*r + d for p. -5 Let j be (-1 - 1)*7710/(-60). Let m = 269 - j. Solve 2*k - 3*y + 20 = 0, -m = k - 4*y + 2*y for k. -4 Let r(t) = 14*t**2 + 7*t - 25. Let w be r(5). Let h = w - 357. Solve -h*c = -j - 8, -j - 3*c + 2*c = 4 for j. -5 Let k(q) = -4*q**2 + 80*q + 7. Let j be k(20). Solve j = -3*u - 4*i, -3*u - 26 = 2*i - 21 for u. -1 Suppose 4*c + 60 = 2*g, g - 125*c - 46 = -121*c. Solve 5*w = -5, 17*l - g*l = 4*w - 11 for l. -5 Let l(s) = s + 6. Let d be l(-4). Suppose d*h = -4*h + 18. Let q be (h/(-2))/((-21)/6 + 3). Solve -10 = q*a + 3*w - w, 0 = -2*a + w - 2 for a. -2 Suppose 770 = -4*d + 834. Suppose 6*c = 7*c - d. Solve -z - 8 = -3*o, -5*o - 4*z + c = -5*z for o. 4 Let d = -2274 + 2275. Solve -d = -f, -2*z + 7 = 5*f + 6 for z. -2 Suppose -r + 14 = 4*w, -5*w + 6 = 2*r - 10. Let t be (-176)/(-77) - r/(-7) - -3. Solve -p = 1, -5*v - p + t*p = 6 for v. -2 Suppose 0 = 2*q - 5*q + c + 1, -q - c - 1 = 0. Suppose -b - 3 = 13*k - 15*k, 0 = -5*k + 20. Solve 0*v + 1 = -3*v - 4*i, q = -b*v - 4*i + 1 for v. 1 Let m(z) = 3*z**2 - 5*z - 8. Let r be m(-2). Suppose 0 = 6*l - 44 + r. Solve 2*c - 18 = -c + l*g, -3*c + 15 = -4*g for c. 1 Suppose -34*c + 1134 + 289 = -107. Solve 9*f - 5*l = 14*f, -4*l + c = -5*f for f. -5 Let b(i) = -115*i - 51. Let h be b(-5). Let d = 526 - h. Solve 4*s + 3*j = -d*j - 20, -2*s = -j + 10 for s. -5 Suppose -35*z - 18*z + 7360 = 39*z. Solve -k + z - 75 = 0, -4*u - 2*k = -22 for u. 3 Let g = 4004 - 3999. Solve 4*q + 5*r = -g, -r = 126*q - 124*q + 7 for q. -5 Suppose v = -2*k + 5*k, 5*v + k = 0. Suppose -3*y + v*y = -81. Suppose 9 = -6*c + y. Solve -3*z = c*w - 3, 0 = -2*z - 4*w + 12 for z. -4 Let k(f) = 56*f - 3836. Let z be k(69). Solve -y = r + 1, -z*r + 4*y = -26*r - 22 for r. 3 Let j be (-4 - -12) + -1*(3 - -2). Suppose -3 = f - 4*f, -4*f + 88 = j*c. Solve 12 = -5*i + p, i + c = -5*p + 10 for i. -3 Let o = -7456 + 7459. Solve -2*d + 3*p = -1, o*p = -5*d + 7*p - 1 for d. -1 Suppose 3*p + 40 = 4*d, 3*p = -2*d + 34 - 14. Let y(m) = m**2 - 4*m - 10. Let q be y(d). Suppose -3*t + q = 7*t. Solve 0 = -3*r, -s + r + 20 = -t*s for s. -5 Suppose 10*a = 5*a - y + 13, -y = a - 5. Solve 5*u - 1 = 5*l - 31, 5*l + a = -3*u for l. 2 Suppose 21*g = 15*g - 48. Let b(q) = 2*q**3 + 17*q**2 + 6*q - 15. Let y be b(g). Solve -3*s - 1 = -2*u - 2*s, s = y for u. 1 Let r(l) = -7*l + 125. Let g(u) = -u. Let m(q) = 4*g(q) + r(q). Let j be m(11). Solve -3*w + 3 = 5*t - 21, -j*w - t + 15 = 0 for w. 3 Let d(x) = 3*x + 149. Let m be d(23). Suppose m*t - 2 = 217*t. Solve 5*l = -2*j - 15, j - 5*j = t*l - 10 for l. -5 Suppose -65*g + 63*g + 190 = -2*u, -5*g = -u - 499. Solve -2*p - 3*b = -10, -98*p + 2 = -g*p + 4*b for p. 2 Let m(b) = 2*b**2 + 279*b + 1603. Let u be m(-6). Solve -2*w = 2*a + 6, -w - 2*a - 1 - u = 0 for w. -4 Suppose -2*r = -16 + 6. Let c(k) = -k + 2. Let v be c(7). Let m be -6*5/50*v. Solve -y = 2*d - m + 2, -r*d = -2*y - 25 for y. -5 Suppose -6*k - 1193 + 6821 = 0. Suppose z + 920 = k. Let g be -1 - (0 + 1)/(-1). Solve g*b + 5*t - z = 2*b, 4*t = -3*b - 4 for b. -4 Let d be ((-8)/18 + (-364)/882)/(4/(-14)). Solve -2*w + 4 - 2 = 2*z, -w = -z - d for z. -1 Let z be ((-10)/12 - 253/(-138)) + 5. Let k be -5 - (z + -6 - 5). Solve -3*y = -k*y - 15, -2*c = -2*y + 2 for c. 4 Suppose 251 = -30*i + 371. Solve 6 = i*o - 60*c + 58*c, 4*o = 4*c for o. 3 Let f(s) = s**2 - 8*s. Let v be f(8). Let d be -2 + v - 14/(-2). Let j = -782 - -785. Solve -j*b + i - 4 = 0, -d*i = 4*b - 1 - 0 for b. -1 Let b be (-4)/80 - (-3965)/1300. Solve -b*q = 18 - 15, 2*o = -5*q - 13 for o. -4 Let l be (2/(-3))/((-11)/90 - (-17)/(-170)). Solve 24 = 3*h - l*y, h - 2*y = 11 + 2 for h. 3 Let p = 11808 + -11804. Solve 4*b + p = n + 3, -3*b - 9 = 2*n for b. -1 Suppose -5*y = -5*d + 40, 5*d + 5*y - 4*y = 16. Suppose 28 = d*k + 56. Let s = 9 + k. Solve -6 = -2*n - s*q, -5*q = -q - 16 for n. -1 Let j(u) = u**2 + 10*u + 25. Suppose 2*b = 2*n - 6, 4*b + 18 = 2*b - n. Let k be j(b). Solve -3*x + k = -5*g - 0, -x = -3*g - 4 for x. -2 Suppose -3*q + 5*p = -33 - 4, 3*p + 11 = q. Suppose q*x = 11*x + 15. Suppose 11*s = -x + 38. Solve 0 = s*z - 5*b + 11, -2*z - 1 = z + 5*b for z. -2 Suppose n = 3*n - 4*n. Let t = 139 - 128. Let r(c) = -2*c + 27. Let f be r(t). Solve -3*d + 7 = -4*g, n*d = f*d + g - 27 for d. 5 Let r = 362 + -133. Suppose 3*q + 205 = r. Solve i - 2*a + 7 = 0, 4*a - 10 = -10*i + q*i for i. -1 Suppose -81*a - 9*a = -270. Solve -5*w + a*w + 4 = 0, -13 = i - 5*w for i. -3 Suppose -5*x + 520 = 2*y, -y + 127 = -4*x - 133. Suppose y*u - 10 = 258*u. Solve l = u*a, 0 = -6*a + 2*a + l for a. 0 Let x = -15 - -19. Suppose -5*d + b + 12 = 0, 0 = -d + 5*b + x + 8. Solve 3*p - 3*h + 24 = d*h, 0 = -4*p + 3*h - 21 for p. -3 Let d(f) = -8*f - 131. Let y be d(-16). Let x = 11 + -7. Let u be x/(-12)*2*y. Solve 2*q - 4 = 3*i + u*i, 0 = 3*i + 5*q - 10 for i. 0 Let h = -145 + 149. S
{ "pile_set_name": "DM Mathematics" }
(b) 2 (c) 7 (d) 1/10 c Which is the second biggest value? (a) 3/8 (b) -0.2 (c) -32.6 b What is the third biggest value in 0.2, 0.01, 0.3, 60? 0.2 What is the second biggest value in -12, -4, 2/19? -4 What is the smallest value in -2, 2/9, -3/8, -4/5? -2 Which is the biggest value? (a) -128 (b) 0.2 (c) -0.4 (d) 2/9 d What is the third biggest value in -4, 1, 1/7? -4 What is the second smallest value in -1/2, -32, 0.13, 3, 2? -1/2 What is the second smallest value in 2/11, -5, 1.2, -0.1? -0.1 Which is the third biggest value? (a) 30 (b) -1/4 (c) -4 c Which is the biggest value? (a) -4 (b) 1 (c) 235/3 c Which is the biggest value? (a) 4 (b) -3 (c) 1 (d) 39 (e) -0.3 d What is the biggest value in -5, 0.3, -1, 0.09? 0.3 What is the third biggest value in -0.4, 2/7, -0.6? -0.6 Which is the fourth biggest value? (a) -1/5 (b) -0.4 (c) 114/11 (d) -2 (e) 0.4 b Which is the second biggest value? (a) -0.1 (b) 31 (c) -3 (d) -1 a Which is the smallest value? (a) 0 (b) 13 (c) 2/9 (d) 0.3 a What is the biggest value in -0.38, 1/7, -2? 1/7 Which is the second biggest value? (a) 0.08 (b) 2/3 (c) 3/4 (d) 2/5 b Which is the smallest value? (a) 2/161 (b) -4 (c) -0.1 b What is the biggest value in 1.1, -0.5, 12? 12 Which is the smallest value? (a) 6/5 (b) 4/5 (c) -2/11 (d) -3/14 d What is the smallest value in -5, -4, -831? -831 What is the biggest value in 2, 5, -15, -4/11? 5 Which is the biggest value? (a) -1 (b) 2/13 (c) -2/23 (d) 2/19 b What is the second biggest value in -43, -62, -0.5? -43 What is the second biggest value in 0.2, -4/11, 20? 0.2 What is the third smallest value in 7, 10, 0.1, 11? 10 Which is the second biggest value? (a) -3 (b) 0 (c) 1/13 (d) 61 c What is the fourth biggest value in -0.3, 1/3, -1/5, -15, -30? -15 Which is the second smallest value? (a) 3/8 (b) -10 (c) 1 (d) 4/3 a What is the smallest value in -8, 3/5, 1, 0? -8 Which is the third biggest value? (a) -4 (b) 0.3 (c) 9 a What is the second smallest value in -0.3, 14, -33, -1/4, 0? -0.3 Which is the smallest value? (a) 18 (b) 3 (c) -3 (d) 2 c Which is the second biggest value? (a) 1/2 (b) -5 (c) -3.1 c Which is the biggest value? (a) 4 (b) 5 (c) -8106 b What is the biggest value in -1.24, 3/8, 2, -0.1, -0.01? 2 What is the biggest value in 3157, -1, 4? 3157 Which is the third biggest value? (a) 1/34 (b) -3 (c) 8 b What is the fourth biggest value in 0, 11/6, -0.029, -2/7? -2/7 What is the biggest value in -2, 2/7, 0.05? 2/7 Which is the second smallest value? (a) 40 (b) -2/41 (c) -6 b Which is the smallest value? (a) -3 (b) -0.2 (c) 66 (d) -0.3 a Which is the smallest value? (a) -2/13 (b) -5/4 (c) -1.8 (d) 1 c Which is the second biggest value? (a) 0.4 (b) -5/4 (c) 0.02 c What is the second biggest value in 1, 3/7, -0.033, 0.5? 0.5 What is the smallest value in -5, -4, -4/3? -5 Which is the second biggest value? (a) 0 (b) 3 (c) -3/10 a What is the smallest value in 4, 2, 0.3, -14? -14 What is the fourth smallest value in -3, 0, 8, -0.3? 8 What is the fourth smallest value in -6/139, -1, -3, 10, -2? -6/139 What is the fourth smallest value in -5.3, 2, -0.8, 0? 2 Which is the third smallest value? (a) 4 (b) 54/17 (c) 0.3 a What is the biggest value in -3, 108, -2/15? 108 Which is the second smallest value? (a) 0.08 (b) -0.4 (c) 0.2 a Which is the second biggest value? (a) -2 (b) -4 (c) 1 (d) -11 a Which is the third smallest value? (a) -2/5 (b) -28 (c) -3/5 (d) -1 c What is the second biggest value in -2, 6, -2/9? -2/9 What is the fourth smallest value in -2, 0, -39, -0.5? 0 What is the biggest value in -5, 35, -4/13? 35 What is the fourth biggest value in -3.5, -5, -3, 1/4? -5 What is the second biggest value in 2/5, 1, 2/7, -2/3? 2/5 Which is the smallest value? (a) -0.69 (b) -3 (c) 1/2 b Which is the smallest value? (a) 3 (b) 0.5 (c) 959 (d) -1/6 d What is the third smallest value in 3, 1/3, -2/17? 3 What is the fourth smallest value in 2/3, 3/7, -27, 0.2? 2/3 What is the second smallest value in 21/8, -0.5, -1, 3? -0.5 What is the second smallest value in 3, 0.5, 0.06, -0.15? 0.06 What is the second biggest value in 63, 0, 46? 46 Which is the second biggest value? (a) 4/5 (b) 0 (c) -0.5 b What is the fifth biggest value in -0.2, 4, 29, -8, 0.4? -8 What is the third smallest value in -67, 5, -1? 5 Which is the third biggest value? (a) -1/3 (b) -5 (c) 0.3 (d) 2/13 a What is the third biggest value in -2, -5, 2, 0? -2 What is the second smallest value in -1, 5, -0.33? -0.33 What is the smallest value in -0.08, -2, 5, 4, 1/4? -2 Which is the fourth smallest value? (a) 5 (b) 0 (c) -23 (d) 2 a What is the third biggest value in -1463, -4, -2, -3, 0.5? -3 What is the third biggest value in 11, 2/13, -0.3? -0.3 What is the fifth smallest value in 1, 2, 1/7, -1, 4? 4 Which is the biggest value? (a) -10/19 (b) -1/2 (c) -2 (d) 0 d What is the third smallest value in -2, 1567/9, 4? 1567/9 Which is the second smallest value? (a) 4 (b) -3 (c) 0.5 (d) 36 c Which is the biggest value? (a) 0.02 (b) -3 (c) 0.08 c Which is the third biggest value? (a) -244.8 (b) -1/5 (c) -3/7 a What is the fourth smallest value in -1, -0.2, -1/6, 3/4, 0? 0 Which is the smallest value? (a) 35 (b) -0.4 (c) 4 (d) 0.4 b Which is the second smallest value? (a) -13 (b) 1/6 (c) -4 c Which is the third biggest value? (a) -14 (b) -120 (c) -1 b What is the second smallest value in 2/65, 0.1, 2? 0.1 What is the second smallest value in 5/6, 0, 10, -3/2? 0 Which is the third smallest value? (a) -0.5 (b) 1/4 (c) -1/12 (d) -5 c What is the smallest value in 2, -5/4, -0.3, 6/11, 1/6? -5/4 What is the third smallest value in 3/5, 3, -0.1, 2/5, -1/2? 2/5 What is the smallest value in -0.1, 3, 70, 1/3? -0.1 What is the fourth smallest value in 0.5, 1, 2, -0.16, 16? 2 What is the smallest value in -0.5, 0.5, 75, 0? -0.5 Which is the third biggest value? (a) -0.5 (b) -0.31 (c) -0.9 c Which is the second smallest value? (a) 509 (b) -2 (c) 2/9 c Which is the third smallest value? (a) 3 (b) 9 (c) -1/2 (d) 5 d Which is the biggest value? (a) 0.1 (b) -1/2 (c) -5 (d) -3 (e) -2 a What is the fourth smallest value in 1/8, 0.5, 2/11, 6/11? 6/11 Which is the second smallest value? (a) -1 (b) 1 (c) 4 (d) 3/7 (e) -1.1 a What is the third biggest value in 54, 1.11, 1/5? 1/5 What is the smallest value in -13, -2/9, -0.3? -13 Which is the second smallest value? (a) -1/8 (b) 3400 (c) 2 c What is the smallest value in 1/2, 8/7, 0.03, 0.3? 0.03 What is the smallest value in -2/19, 0, -3/4, 7.1? -3/4 What is the second biggest value in -2/37, 23, -3/5? -2/37 What is the smallest value in -0.2, -4, -57, 0? -57 Which is the biggest value? (a) 2 (b) 0.3 (c) 4 (d) -3/7 (e) -3 c What is the fifth smallest value in -1/7, 0.2, 1, 0.3, -0.226? 1 What is the second smallest value in -4, -0.07, -2, -42, -1? -4 What is the biggest value in -5/31, -2/7, 1, 0.4? 1 Which is the fifth biggest value? (a) 3 (b) -1/6 (c) 1/2 (d) 15 (e) 0.2 b What is the third smallest value in 71, -2/7, 2/7? 71 Which is the third smallest value? (a) -5 (b) -56 (c) -0.2 (d) 4/7 (e) 0.2 c What is the third smallest value in 0.1, 2, 0, -100? 0.1 What is the second smallest value in 0, 2/9, -2/5, 1/6? 0 Which is the second biggest value? (a) -19 (b) -5 (c) 0.13 (d) 10 c What is the fourth biggest value in 1, -2, -5, 0.06, 9? -2 Which is the fourth biggest value? (a) -0.4 (b) 7 (c) -2/13 (d) -4 d Which is the third smallest value? (a) 5.7 (b) -2/11 (c) 1/4 (d) -1/3 c What is the biggest value in -3, 0.2, -2, 16? 16 Which is the second smallest value? (a) -0.3 (b) 3/4 (c) -451 a Which is the smallest value? (a) 15 (b) -0.06 (c) -2 c What is the second biggest value in 4, -5, -4.8, -5/4? -5/4 What is the smallest value in 0.1, -5/4, 0.3, -3? -3 Which is the second biggest value? (a) -1/4 (b) 0.013 (c) -2/3 (d) 0.1 b What is the biggest value in 2/7, -63, -0.084? 2/7 Which is the third smallest value? (a) 0 (b) 224 (c) 1 b Which is the third biggest value? (a) -5 (b) -0.3 (c) 4 (d) 3/5 (e) -3 b What is the smallest value in -1/2, 2/9, -34, 0, 2/3? -34 What is the third smallest
{ "pile_set_name": "DM Mathematics" }
, 567857 What are the prime factors of 3961274? 2, 1980637 List the prime factors of 45730638. 2, 3, 2540591 What are the prime factors of 923145095? 5, 47, 67, 58631 List the prime factors of 2261397485. 5, 1049, 431153 What are the prime factors of 460940880? 2, 3, 5, 1920587 What are the prime factors of 1206643396? 2, 7, 43094407 What are the prime factors of 6837871021? 59, 239, 8219 List the prime factors of 2112290483. 5501, 383983 What are the prime factors of 1912417063? 31, 61690873 List the prime factors of 814707923. 814707923 What are the prime factors of 38685855? 3, 5, 13, 29, 6841 List the prime factors of 2787140695. 5, 4951, 112589 List the prime factors of 407040544. 2, 67, 189851 List the prime factors of 89639221. 7, 12805603 What are the prime factors of 5739802680? 2, 3, 5, 47831689 What are the prime factors of 116393865? 3, 5, 7, 158359 What are the prime factors of 143831772? 2, 3, 7, 41, 13921 What are the prime factors of 1426685109? 3, 37, 12853019 List the prime factors of 52549375. 5, 83, 1013 List the prime factors of 13821452. 2, 3455363 List the prime factors of 75166291. 109, 689599 What are the prime factors of 48697486? 2, 17, 23, 62273 What are the prime factors of 679648826? 2, 311, 313, 3491 List the prime factors of 209507134. 2, 2131, 49157 List the prime factors of 943751351. 127, 641, 11593 What are the prime factors of 560886109? 7, 41, 43, 47, 967 What are the prime factors of 812390908? 2, 7, 97, 299113 List the prime factors of 213792156. 2, 3, 103, 19219 List the prime factors of 5198178. 2, 3, 631, 1373 What are the prime factors of 18162880? 2, 5, 211, 269 What are the prime factors of 2771217139? 2771217139 What are the prime factors of 175079378? 2, 1201, 72889 What are the prime factors of 31653422? 2, 17, 241, 3863 What are the prime factors of 3975934733? 139, 28603847 What are the prime factors of 53426769? 3, 11, 23, 43, 1637 List the prime factors of 230707721. 13781, 16741 What are the prime factors of 435576418? 2, 6833, 31873 List the prime factors of 11691338. 2, 163, 35863 List the prime factors of 241702984. 2, 61, 179, 2767 List the prime factors of 75763235. 5, 37, 53, 7727 What are the prime factors of 2638678783? 13, 17, 239, 49957 What are the prime factors of 892150701? 3, 13, 17, 1345627 List the prime factors of 3260119. 3260119 What are the prime factors of 913905489? 3, 7, 89, 488981 List the prime factors of 17132517. 3, 37, 51449 List the prime factors of 261668597. 261668597 List the prime factors of 2761596047. 7, 37, 1523219 What are the prime factors of 58901574? 2, 3, 23, 107, 3989 List the prime factors of 258055198. 2, 53, 2434483 List the prime factors of 457805004. 2, 3, 43, 47, 439 List the prime factors of 358197981. 3, 119399327 List the prime factors of 437532147. 3, 13, 3739591 List the prime factors of 201455013. 3, 179, 375149 List the prime factors of 4934132. 2, 7, 313, 563 What are the prime factors of 15118546? 2, 79, 103, 929 What are the prime factors of 2246152546? 2, 11, 102097843 List the prime factors of 309692601. 3, 34410289 What are the prime factors of 487156878? 2, 3, 13, 31, 67157 List the prime factors of 46801042. 2, 59, 396619 What are the prime factors of 92324817? 3, 13, 789101 List the prime factors of 27094735. 5, 5418947 List the prime factors of 2636740743. 3, 7, 13, 31, 311561 List the prime factors of 200077953. 3, 66692651 What are the prime factors of 75432396? 2, 3, 13, 483541 List the prime factors of 4937782316. 2, 23909, 51631 What are the prime factors of 11167370? 2, 5, 751, 1487 What are the prime factors of 1461835616? 2, 45682363 What are the prime factors of 221132064? 2, 3, 97, 23747 What are the prime factors of 28907464? 2, 3613433 List the prime factors of 115426482. 2, 3, 19, 1012513 List the prime factors of 3820775576. 2, 477596947 What are the prime factors of 19030090? 2, 5, 29, 211, 311 List the prime factors of 28625932. 2, 19, 376657 What are the prime factors of 493984758? 2, 3, 47, 1751719 List the prime factors of 402818743. 31, 1109, 11717 What are the prime factors of 413036693? 139, 239, 12433 What are the prime factors of 774385829? 7, 110626547 What are the prime factors of 1685807803? 271, 6220693 List the prime factors of 32742640. 2, 5, 7, 59, 991 List the prime factors of 372837252. 2, 3, 31069771 List the prime factors of 65618728. 2, 7, 67, 17489 List the prime factors of 219252443. 8171, 26833 What are the prime factors of 316963053? 3, 11, 37, 86531 List the prime factors of 181543633. 181543633 List the prime factors of 4535968362. 2, 3, 3671, 205937 List the prime factors of 1524758835. 3, 5, 19, 5350031 What are the prime factors of 1143813940? 2, 5, 29, 1972093 List the prime factors of 3024158387. 61, 49576367 List the prime factors of 197301274. 2, 3319, 29723 What are the prime factors of 2334449828? 2, 583612457 What are the prime factors of 1380708889? 7, 197244127 What are the prime factors of 132877426? 2, 11, 6039883 What are the prime factors of 342919425? 3, 5, 4572259 What are the prime factors of 2673548918? 2, 29, 157, 293603 What are the prime factors of 471802632? 2, 3, 7, 17, 233, 709 What are the prime factors of 406194366? 2, 3, 563, 120247 What are the prime factors of 2094372289? 2094372289 List the prime factors of 537503492. 2, 134375873 What are the prime factors of 8561024567? 8561024567 What are the prime factors of 514097504? 2, 197, 81551 List the prime factors of 372665087. 7297, 51071 What are the prime factors of 1287966588? 2, 3, 7951, 13499 What are the prime factors of 35983645? 5, 17, 349, 1213 What are the prime factors of 84155314? 2, 42077657 List the prime factors of 429612521. 13, 33047117 List the prime factors of 1480439134. 2, 61, 239, 50773 What are the prime factors of 363771510? 2, 3, 5, 937, 12941 What are the prime factors of 1082074615? 5, 157, 1378439 List the prime factors of 792989289. 3, 307, 287003 List the prime factors of 25856763. 3, 587, 14683 What are the prime factors of 32730259? 41, 137, 5827 What are the prime factors of 20125966? 2, 7, 23, 8929 What are the prime factors of 4198534329? 3, 11, 19, 197, 1789 What are the prime factors of 83526836? 2, 20881709 What are the prime factors of 249229117? 249229117 List the prime factors of 94497329. 94497329 List the prime factors of 131460526. 2, 65730263 List the prime factors of 2060774403. 3, 19531, 35171 What are the prime factors of 35471343? 3, 409, 28909 What are the prime factors of 182923506? 2, 3, 61, 166597 What are the prime factors of 977583726? 2, 3, 7, 773, 10037 What are the prime factors of 1331436960? 2, 3, 5, 7, 44029 What are the prime factors of 26653691? 853, 31247 List the prime factors of 1118820391. 13, 1049, 6311 What are the prime factors of 83020966? 2, 7, 5930069 What are the prime factors of 540763530? 2, 3, 5, 457, 39443 What are the prime factors of 202951088? 2, 1801, 7043 What are the prime factors of 41618701? 79, 397, 1327 List the prime factors of 111557727. 3, 83, 149341 List the prime factors of 507544698. 2, 3, 67, 113, 11173 What are the prime factors of 116072221? 1231, 94291 List the prime factors of 50235669. 3, 11, 507431 What are the prime factors of 213136867? 61, 1229, 2843 List the prime factors of 861628824. 2, 3, 7, 317, 5393 List the prime factors of 248143744. 2, 1938623 List the prime factors of 246936791. 7793, 31687 List the prime factors of 53516974. 2, 7, 31, 123311 List the prime factors of 237509877. 3, 11, 431, 16699 List the prime factors of 175170210. 2, 3, 5, 17, 37, 9283 List the prime factors of 111210952. 2, 19, 731651 What are the prime factors of 148696497? 3, 16521833 List the prime factors of 19443759. 3, 37, 47, 3727 What are the prime factors of 8798993? 7, 433, 2903 List the prime factors of 703617621. 3, 7, 33505601 What are the prime factors of 34167856? 2, 67, 31873 What are the prime factors of 178814973? 3, 61, 89, 10979 What are the prime factors of 557312612? 2, 151, 211, 4373 What are the prime factors of 110534519? 479, 230761 What are the prime factors of 120529906? 2, 7, 1229897 List the prime factors of 2997016564. 2, 17, 23, 1916251 What are the prime factors of 73822878? 2, 3, 41, 67,
{ "pile_set_name": "DM Mathematics" }
wrt r. -300*r**2 Suppose 3*p - p - 4 = -2*y, 5 = p + 4*y. Differentiate -3 - m + 1 - p + 4 with respect to m. -1 Suppose x + 3*w - 25 = 0, -2*x + 14 = -4*w + w. Find the second derivative of x*a**3 + 3*a**4 + 2*a - 13*a**3 wrt a. 36*a**2 Let a(x) be the third derivative of x**7/70 - 4*x**4/3 + 16*x**2. Find the second derivative of a(d) wrt d. 36*d**2 Let l(n) = 8*n**5 + 9*n**2 - 2*n. Let y(r) = -r**2 + r. Let b(a) = l(a) + 2*y(a). Find the third derivative of b(d) wrt d. 480*d**2 Let k(a) = -3*a + 3. Let n(v) = -1 - 3*v + 4 + 0. Let d(m) = -4*k(m) + 5*n(m). What is the first derivative of d(b) wrt b? -3 Let b be (-3)/2*(-32)/12. Find the third derivative of 2*n**2 + 2*n**2 - n**2 + 3*n**b wrt n. 72*n Let u(b) be the third derivative of 2*b**7/35 + b**3/6 + 15*b**2. What is the first derivative of u(q) wrt q? 48*q**3 Let f(r) be the first derivative of r**6/10 - r**4/3 + 5*r + 1. Let h(o) be the first derivative of f(o). Find the third derivative of h(p) wrt p. 72*p Suppose -3*i = 2*u + 9, -3*u + 2 + 7 = -3*i. Suppose -4*g - 12 = -4, -h - 3*g = u. Differentiate -5 + a**3 + h - 3 wrt a. 3*a**2 Let d(z) be the third derivative of -z**7/42 + z**5/15 - 9*z**2. Find the third derivative of d(a) wrt a. -120*a Let s(v) = -v**3 - 3 + 6*v + 0*v - 2*v + 2*v**2. Let t be s(3). What is the second derivative of 0*b**4 + 4*b**4 + 5*b - b + t*b wrt b? 48*b**2 Let y(m) be the first derivative of -7*m**3/3 + m**2/2 - 9. What is the second derivative of y(n) wrt n? -14 Find the first derivative of 9 - 5*d**2 - 24*d**2 + 26*d**2 - 20*d**2 wrt d. -46*d Let c(q) = 5*q - 3*q + 13 + 2*q + 11*q. Let h(f) = -7*f - 6. Let d(b) = -3*c(b) - 7*h(b). Find the first derivative of d(i) wrt i. 4 Let h = 7 + -4. What is the third derivative of -2*a**5 - 2*a**2 + h*a**2 + a**5 wrt a? -60*a**2 Let h(g) be the third derivative of -g**8/168 + 7*g**4/12 + g**2. What is the second derivative of h(o) wrt o? -40*o**3 What is the second derivative of -19*i**5 + 24*i + 4*i + 3*i wrt i? -380*i**3 What is the second derivative of -3*q**2 - 3*q**5 + 7*q**5 + q + 3*q**2 wrt q? 80*q**3 Let y be ((-2)/(-4))/((-1)/(-2)). Let t(m) be the first derivative of 1/2*m**2 + m - y. What is the first derivative of t(b) wrt b? 1 Let p(k) = k**3 - 9*k**2 - 9*k - 8. Let w be p(10). Find the second derivative of w*v + 88*v**2 - 82*v**2 + 2*v wrt v. 12 Let w be (-3)/4*(-44)/11. What is the third derivative of -5*m**3 - 2*m**w + 6*m**2 + 2*m**3 - 12*m**2 wrt m? -30 Find the third derivative of d**2 + 4*d**5 + 5*d**5 - 5*d**5 wrt d. 240*d**2 Let x(h) be the second derivative of 3*h**5/4 - h**4/4 + 14*h. Find the third derivative of x(d) wrt d. 90 Find the third derivative of 0*u**3 + 0*u**3 - 3*u**3 - 2*u**2 - 5*u**2 wrt u. -18 Let t(c) be the second derivative of -1/10*c**6 + 0 + 2/3*c**3 + 0*c**2 + 0*c**5 + 0*c**4 - 3*c. What is the second derivative of t(i) wrt i? -36*i**2 Let f(n) = -n**2 - n. Let b(c) = 3*c**2 + 6*c + 1. Suppose -3*x + 4*o = x + 36, -2*x = -o + 15. Let q(i) = x*f(i) - b(i). Differentiate q(u) wrt u. 6*u Let d(p) be the first derivative of -3/2*p**2 + 3*p - 4. What is the derivative of d(v) wrt v? -3 Let m(t) = t**3 - 5*t**2 + 2*t - 7. Let l be m(5). What is the second derivative of -4*y + 0 + 0 + 4*y**4 - l*y**4 wrt y? 12*y**2 Let t = 9 + -7. Suppose -t + 1 = -p. Differentiate 1 + 3*j**4 - 3 + 4 + p wrt j. 12*j**3 Let z be ((-21)/9)/(1/(-3)). Let x = -3 + z. Differentiate 4*h + 2 - x*h - 2*h with respect to h. -2 Suppose -p - t + 14 = 0, -5*p = -0*p + 2*t - 85. Find the second derivative of 9*u + 4*u**5 - p*u**3 + 19*u**3 wrt u. 80*u**3 Let o(q) be the third derivative of -2/3*q**3 + 0 + 0*q**4 + 0*q**6 - 4*q**2 - 2/105*q**7 + 0*q**5 + 0*q. Find the first derivative of o(r) wrt r. -16*r**3 Let u(x) be the first derivative of -5*x**7/7 + 5*x**3/3 + 8. Find the third derivative of u(f) wrt f. -600*f**3 Let r(o) = o**2 + 2. Let a be r(-2). Suppose 3*x + 2*z = a*x - 6, -5*x + 11 = -3*z. Find the third derivative of -f**2 + x*f**4 + 3*f**2 - 2*f**4 wrt f. 48*f Find the first derivative of -3 - 37*y + 4 + 26*y wrt y. -11 Let f(c) = -149*c + 157. Let g(x) = 37*x - 39. Let o(r) = -2*f(r) - 9*g(r). What is the derivative of o(v) wrt v? -35 Let g(h) be the first derivative of 2*h**3/3 + 3*h - 3. Differentiate g(p) wrt p. 4*p Let d(y) = y**3 + 5*y**2 - 7*y - 4. Let v be d(-6). Suppose -4*o + 2 + 6 = 0. What is the third derivative of 2 - a**v + o*a**4 - 2 wrt a? 48*a Let f(z) be the second derivative of 9*z**7/14 - z**5/10 + z**4 - 37*z. What is the third derivative of f(a) wrt a? 1620*a**2 - 12 Suppose -4*k - k = 20. Let t(b) = 4*b**3 + 4*b**2 + 4*b + 4. Let y(m) = -4*m**3 - 3*m**2 - 3*m - 4. Let o(x) = k*y(x) - 3*t(x). Differentiate o(n) wrt n. 12*n**2 What is the second derivative of -2*v - 3*v - 2*v - 4*v + 11*v**4 wrt v? 132*v**2 Suppose -m = 2*w - 5, -5 + 19 = 5*w + m. What is the second derivative of -u**2 - 6*u**w + 3*u + 0*u**2 + u**2 wrt u? -36*u Differentiate 23 - 9*a**3 - 8*a**3 - 28 with respect to a. -51*a**2 Let k(w) be the first derivative of w**7/14 - 5*w**4/6 + 3*w - 10. Let l(x) be the first derivative of k(x). What is the third derivative of l(u) wrt u? 180*u**2 Let b(y) = -y**5 + y**4 + y**3 - y**2 + 1. Let d(g) = 11*g**5 + g**4 + g**3 + 25*g**2 + 1. Let a(r) = b(r) - d(r). Find the third derivative of a(s) wrt s. -720*s**2 Let j(g) be the second derivative of 1/6*g**3 + 0 - g - 2/3*g**4 + 0*g**2. What is the second derivative of j(w) wrt w? -16 What is the third derivative of -6*j**3 + 3*j**3 + 7*j**2 + 11*j**3 wrt j? 48 Let c = -7 + 11. Let t = -2 + c. What is the third derivative of -12*v**t + v**6 + 10*v**2 + 0*v**6 wrt v? 120*v**3 Let u(o) be the second derivative of -17*o**7/42 + 11*o**3/6 - 6*o. What is the second derivative of u(d) wrt d? -340*d**3 Let z(a) = 5*a**2 + 3*a - 10. Let w(m) = 5*m**2 + 4*m - 11. Let t(p) = 3*w(p) - 4*z(p). Differentiate t(f) with respect to f. -10*f Let m = 0 + 7. Let n(f) = 9*f + 4. Let u(x) = -3*x - 1. Let v(o) = m*u(o) + 2*n(o). What is the first derivative of v(h) wrt h? -3 Let j(d) = -d**2 + 2*d + 2. Let o be j(2). Let z be -1 - (6 - o)*-1. What is the second derivative of -4*a + a**z + 4 - 4 wrt a? 6*a Let h(m) = -7*m**4 - 4*m**3 + 4*m**2 + 40. Let k(j) = 8*j**4 + 3*j**3 - 3*j**2 - 39. Let l(b) = -3*h(b) - 4*k(b). Differentiate l(q) with respect to q. -44*q**3 Let y(l) = 28*l**3 + 3*l**2 + 17*l + 3. Let c(n) = -57*n**3 - 7*n**2 - 35*n - 7. Let d(w) = -3*c(w) - 7*y(w). What is the second derivative of d(m) wrt m? -150*m Let p(k) be the second derivative of 7*k**5/20 + 37*k**2/2 - 3*k. Differentiate p(c) wrt c. 21*c**2 Let b(j) be the first derivative of -j**6/60 + 7*j**4/24 - 2*j**2 - 4. Let c(m) be the second derivative of b(m). Find the second derivative of c(h) wrt h. -12*h Let k(m) be the second derivative of -5*m**3/3 - m**2 - 10*m. Differentiate k(w) with respect to w. -10 Let r(m) be the second derivative of 5*m**7/21 + 3*m**3 + 13*m. What is the second derivative of r(n) wrt n? 200*n**3 Differentiate -4 - 2 - 12*q**3 + 14*q**3 wrt q. 6*q**2 Differentiate -2 + 17*r**3 - 12*r**3 + 26 wrt r. 15*r**2 Let u(v) be the first derivative of -v**6/6 + 6*v**5 - 40*v**3/3 + 65. What is the third derivative of u(a) wrt a? -60*a**2 + 720*a Let h(d) be the second derivative of -7*d**6/30 - 11*d**3/6 - 11*d. What is the second derivative of h(v) wrt v? -84*v**2 Let o(m) = -m**3 - m - 1. Let x(i) = -9 - 3 - 5 - 18*i - 17*i**3 - i**4. Let c(y) = 102*o(y) - 6*x(y). What is the second derivative of c(l) wrt l? 72*l**2 Let f(o) be the first derivative of -4*o**2 + 14*o - 8. What is the derivative of f(a) wrt a? -8 Let r(c) be the third derivative of c**4/6 + 9*c**3 + 38*c**2. Find the first derivative of r(x) wrt x. 4 Suppose t + 2*t = 9. Find the third derivative of 5*f**2 + f**4 - t*f**2 - 2*f**4 - 3*f**2 wrt f. -24*f Suppose -8 = 2*t - 6*t. Suppose g + t*p = -8, p - 3 = -5*g + 2. Find the third derivative of 2*c**g - c**2 + c**2 + c**3 wrt c. 6 Let l(c) be the first derivative of 5*c**6/2 - 8*c**2 - 17. Find the second derivative of l(n) wrt n. 300*n**3 Let k(c) be the second derivative of -c**4/12 + c**3/2 + c**2/2 + 3*c. Let o(l) be the first derivative of k(l). Differentiate o(s) wrt s. -2 Let b(m) be the second derivative of m**7/210 +
{ "pile_set_name": "DM Mathematics" }
lculate the highest common divisor of 146 and 219. 73 Calculate the highest common divisor of 288 and 216. 72 Calculate the greatest common divisor of 261 and 9. 9 What is the greatest common factor of 9263 and 314? 157 What is the greatest common factor of 22 and 34? 2 What is the highest common divisor of 427 and 35? 7 Calculate the greatest common divisor of 3080 and 110. 110 Calculate the greatest common divisor of 1 and 3203. 1 Calculate the highest common factor of 651 and 294. 21 What is the highest common factor of 2726 and 188? 94 What is the greatest common factor of 989 and 23? 23 Calculate the greatest common factor of 17 and 51. 17 Calculate the highest common divisor of 1998 and 54. 54 Calculate the highest common divisor of 31 and 31. 31 What is the greatest common factor of 338 and 52? 26 What is the greatest common factor of 60 and 1090? 10 What is the highest common factor of 7 and 1106? 7 What is the greatest common divisor of 1903 and 519? 173 Calculate the greatest common divisor of 425 and 17. 17 What is the highest common divisor of 315 and 3015? 45 What is the highest common factor of 2187 and 162? 81 What is the greatest common factor of 12 and 50484? 12 Calculate the greatest common factor of 40 and 260. 20 Calculate the highest common divisor of 7147 and 7. 7 Calculate the highest common divisor of 900 and 20. 20 What is the highest common divisor of 222 and 114? 6 Calculate the highest common factor of 32 and 4792. 8 Calculate the greatest common divisor of 495 and 45. 45 What is the greatest common factor of 119 and 4403? 119 What is the greatest common factor of 361 and 513? 19 Calculate the highest common factor of 798 and 42. 42 What is the highest common divisor of 388 and 4? 4 Calculate the greatest common factor of 15 and 12. 3 What is the highest common factor of 774 and 1806? 258 What is the greatest common factor of 50 and 430? 10 What is the greatest common factor of 10 and 6590? 10 What is the greatest common factor of 318 and 106? 106 Calculate the highest common factor of 595 and 255. 85 Calculate the highest common factor of 4 and 124. 4 Calculate the highest common factor of 14 and 2779. 7 What is the highest common factor of 130 and 10? 10 What is the greatest common divisor of 48 and 1904? 16 Calculate the highest common divisor of 7 and 1. 1 What is the highest common factor of 216 and 540? 108 What is the greatest common divisor of 32 and 2424? 8 What is the greatest common factor of 62 and 2201? 31 Calculate the greatest common factor of 287 and 123. 41 What is the greatest common divisor of 5 and 5? 5 What is the greatest common divisor of 19 and 3287? 19 Calculate the highest common divisor of 90 and 3132. 18 Calculate the greatest common divisor of 567 and 77. 7 What is the greatest common divisor of 731 and 43? 43 What is the greatest common factor of 2682 and 78? 6 Calculate the highest common divisor of 20 and 595. 5 What is the highest common divisor of 1215 and 189? 27 What is the greatest common divisor of 96 and 1788? 12 What is the greatest common factor of 17 and 35? 1 Calculate the greatest common divisor of 35301 and 369. 123 What is the greatest common divisor of 79 and 237? 79 Calculate the greatest common factor of 2410 and 10. 10 Calculate the greatest common divisor of 198 and 72. 18 What is the highest common factor of 167 and 44923? 167 What is the greatest common divisor of 2 and 11? 1 What is the highest common divisor of 1027 and 79? 79 Calculate the highest common divisor of 64 and 696. 8 Calculate the greatest common divisor of 147 and 2709. 21 Calculate the greatest common divisor of 12 and 2532. 12 What is the greatest common factor of 90 and 1920? 30 What is the greatest common factor of 9 and 153? 9 Calculate the greatest common divisor of 17 and 1037. 17 Calculate the greatest common divisor of 16 and 32. 16 What is the highest common factor of 216 and 2700? 108 What is the highest common factor of 150 and 5475? 75 What is the greatest common divisor of 108 and 16? 4 What is the highest common factor of 14 and 6398? 14 What is the highest common factor of 861 and 533? 41 Calculate the greatest common factor of 1792 and 28. 28 What is the highest common factor of 297 and 22? 11 What is the greatest common divisor of 20 and 30? 10 What is the greatest common divisor of 28 and 560? 28 Calculate the greatest common factor of 46 and 74. 2 Calculate the greatest common divisor of 22 and 407. 11 What is the highest common divisor of 19 and 931? 19 What is the greatest common divisor of 1 and 25? 1 What is the greatest common factor of 2 and 54? 2 Calculate the greatest common divisor of 846 and 54. 18 Calculate the highest common divisor of 192 and 48. 48 Calculate the greatest common divisor of 56 and 63. 7 Calculate the greatest common factor of 38 and 5016. 38 Calculate the greatest common divisor of 48 and 36. 12 Calculate the highest common divisor of 548 and 16. 4 Calculate the highest common factor of 9125 and 73. 73 Calculate the greatest common factor of 100 and 800. 100 Calculate the greatest common divisor of 3450 and 46. 46 Calculate the greatest common factor of 108 and 4. 4 What is the greatest common factor of 6980 and 20? 20 Calculate the highest common divisor of 45 and 255. 15 What is the greatest common factor of 18 and 339? 3 What is the highest common divisor of 109 and 981? 109 Calculate the highest common divisor of 142 and 4757. 71 Calculate the greatest common factor of 14530 and 10. 10 What is the greatest common divisor of 89 and 5? 1 What is the highest common divisor of 321 and 2140? 107 What is the highest common divisor of 17 and 2? 1 Calculate the highest common factor of 288 and 1568. 32 What is the highest common factor of 588 and 4? 4 Calculate the greatest common divisor of 28 and 10556. 28 Calculate the greatest common divisor of 69 and 48. 3 Calculate the greatest common factor of 21 and 777. 21 Calculate the greatest common divisor of 345 and 920. 115 What is the greatest common factor of 319 and 87? 29 Calculate the greatest common divisor of 6020 and 16. 4 What is the highest common divisor of 893 and 19? 19 What is the greatest common factor of 1 and 3? 1 What is the greatest common factor of 24 and 80? 8 Calculate the highest common factor of 2128 and 32. 16 Calculate the highest common factor of 82 and 3731. 41 Calculate the highest common divisor of 5 and 31. 1 What is the greatest common divisor of 4408 and 1044? 116 What is the greatest common factor of 60 and 940? 20 Calculate the highest common divisor of 5852 and 462. 154 Calculate the greatest common factor of 23139 and 54. 27 Calculate the highest common factor of 240 and 2080. 80 Calculate the highest common factor of 777 and 48. 3 Calculate the highest common factor of 3 and 2757. 3 What is the highest common factor of 6 and 34? 2 What is the greatest common divisor of 943 and 46? 23 What is the greatest common factor of 638 and 66? 22 Calculate the highest common divisor of 7 and 5397. 7 What is the greatest common factor of 1450 and 50? 50 What is the highest common factor of 286 and 26? 26 Calculate the greatest common divisor of 3 and 2064. 3 What is the greatest common factor of 8 and 154? 2 Calculate the highest common factor of 53115 and 15. 15 Calculate the greatest common factor of 36310 and 10. 10 What is the highest common divisor of 3538 and 58? 58 What is the highest common factor of 180 and 276? 12 What is the highest common factor of 1680 and 3570? 210 Calculate the greatest common factor of 46 and 1541. 23 What is the highest common divisor of 51 and 1887? 51 What is the highest common factor of 44 and 5? 1 Calculate the greatest common divisor of 1184 and 185. 37 What is the highest common factor of 96 and 4308? 12 Calculate the highest common factor of 10 and 1370. 10 Calculate the highest common divisor of 1003 and 17. 17 What is the highest common divisor of 1403 and 305? 61 Calculate the highest common divisor of 111 and 740. 37 What is the highest common factor of 110 and 8261? 11 Calculate the greatest common factor of 57 and 114. 57 What is the highest common divisor of 224 and 224? 224 Calculate the greatest common factor of 1 and 168. 1 W
{ "pile_set_name": "DM Mathematics" }
pp. Give prob of sequence pp. 4/19 What is prob of sequence mcmc when four letters picked without replacement from {j: 2, c: 5, p: 2, m: 4}? 2/143 Three letters picked without replacement from naakgkngjnkknya. Give prob of sequence njg. 4/1365 Calculate prob of sequence aata when four letters picked without replacement from ttttatttatttttttat. 1/816 Four letters picked without replacement from {k: 9, a: 5, z: 2, s: 2}. What is prob of sequence kskk? 7/510 What is prob of sequence qggt when four letters picked without replacement from {g: 7, u: 4, i: 4, t: 2, q: 2, p: 1}? 7/4845 Four letters picked without replacement from hvbihitb. Give prob of sequence vtib. 1/420 Four letters picked without replacement from oiriwisirnsrorri. What is prob of sequence wrso? 1/2184 Calculate prob of sequence lp when two letters picked without replacement from {p: 7, l: 7}. 7/26 What is prob of sequence ch when two letters picked without replacement from {h: 5, c: 2, d: 1, y: 8}? 1/24 Four letters picked without replacement from {c: 1, b: 1, z: 3, w: 2}. What is prob of sequence zzbc? 1/140 Three letters picked without replacement from {n: 12, c: 1, u: 1}. What is prob of sequence cun? 1/182 Calculate prob of sequence fn when two letters picked without replacement from ntf. 1/6 What is prob of sequence wwea when four letters picked without replacement from evaeceaaaeweecaaeawe? 14/14535 Calculate prob of sequence ubd when three letters picked without replacement from {u: 3, d: 1, c: 1, b: 1, g: 2, p: 4}. 1/440 Four letters picked without replacement from fccccccfcfccfcccffc. Give prob of sequence ccfc. 143/1292 Four letters picked without replacement from gggpgggp. Give prob of sequence gggg. 3/14 Four letters picked without replacement from wrrmmwwrwrwwrmirmr. Give prob of sequence mmmw. 1/510 Three letters picked without replacement from {j: 10}. Give prob of sequence jjj. 1 Four letters picked without replacement from {z: 5, a: 2, y: 2, x: 8, w: 3}. Give prob of sequence wwaz. 1/1938 What is prob of sequence bubu when four letters picked without replacement from {b: 2, u: 3}? 1/10 Calculate prob of sequence fhhf when four letters picked without replacement from mffmfhzfhffffmff. 3/728 Four letters picked without replacement from blbqlbblllllblbqbb. What is prob of sequence lqbb? 28/2295 Two letters picked without replacement from {g: 2, k: 1, m: 1, f: 1, o: 1, t: 1}. Give prob of sequence tg. 1/21 Calculate prob of sequence np when two letters picked without replacement from {z: 1, f: 2, a: 5, n: 3, p: 1}. 1/44 Four letters picked without replacement from {e: 1, y: 1, s: 1, p: 4, l: 1}. What is prob of sequence ysep? 1/420 Three letters picked without replacement from uoxuoyxnj. What is prob of sequence xoy? 1/126 Four letters picked without replacement from {t: 2, d: 1, j: 1}. What is prob of sequence jtdt? 1/12 Two letters picked without replacement from zzzrnzrnzzrrjjn. Give prob of sequence zj. 2/35 Calculate prob of sequence hlz when three letters picked without replacement from {z: 1, h: 11, l: 2, p: 2}. 11/1680 Three letters picked without replacement from {x: 1, n: 2, z: 1}. Give prob of sequence xzx. 0 What is prob of sequence yk when two letters picked without replacement from yaaaapaapkaaaappda? 1/306 Calculate prob of sequence kkgk when four letters picked without replacement from {k: 6, e: 1, u: 3, s: 2, a: 4, g: 2}. 1/306 Four letters picked without replacement from {z: 3, v: 3, r: 3, a: 3, m: 3, y: 3}. Give prob of sequence mraa. 1/1360 What is prob of sequence caaz when four letters picked without replacement from cnnazaznazzncnnznzn? 1/1292 Three letters picked without replacement from hhljltgojtgj. What is prob of sequence lhl? 1/330 Two letters picked without replacement from xqqqqqxxqqqq. What is prob of sequence xx? 1/22 What is prob of sequence ywww when four letters picked without replacement from {w: 4, y: 2, v: 5}? 1/165 Calculate prob of sequence nn when two letters picked without replacement from {m: 11, n: 3}. 3/91 What is prob of sequence pepe when four letters picked without replacement from eppepeeeeeepee? 45/1001 Calculate prob of sequence syum when four letters picked without replacement from {s: 2, y: 1, v: 2, m: 1, u: 2, l: 1}. 1/756 Four letters picked without replacement from dtjxf. What is prob of sequence ftjx? 1/120 Four letters picked without replacement from ffuuufllyfy. What is prob of sequence yfll? 1/495 Three letters picked without replacement from hhhhnhnnhhnnjn. Give prob of sequence nhn. 5/52 Two letters picked without replacement from {d: 2, s: 1, p: 1, n: 8, w: 7, r: 1}. What is prob of sequence sn? 2/95 What is prob of sequence rp when two letters picked without replacement from {r: 3, p: 3, z: 2}? 9/56 Four letters picked without replacement from {l: 3, f: 6, o: 4}. Give prob of sequence flfo. 3/143 Two letters picked without replacement from tuvuevvvk. Give prob of sequence te. 1/72 Two letters picked without replacement from {q: 1, n: 3, h: 3}. What is prob of sequence nq? 1/14 Calculate prob of sequence dqul when four letters picked without replacement from {d: 2, q: 2, l: 1, u: 1, r: 2, g: 1}. 1/756 Calculate prob of sequence sq when two letters picked without replacement from {q: 3, v: 1, u: 1, g: 1, s: 1}. 1/14 Four letters picked without replacement from {b: 1, v: 5, y: 5, q: 3, n: 2}. Give prob of sequence bnnv. 1/4368 Calculate prob of sequence ddd when three letters picked without replacement from {c: 6, d: 7}. 35/286 Four letters picked without replacement from {v: 2, n: 5, r: 4}. What is prob of sequence nvrv? 1/198 Four letters picked without replacement from {b: 5, k: 2, h: 7}. What is prob of sequence bbhk? 5/429 What is prob of sequence wdwa when four letters picked without replacement from daadwrawdy? 1/280 Calculate prob of sequence piai when four letters picked without replacement from {o: 2, x: 1, p: 1, i: 2, a: 4}. 1/630 Calculate prob of sequence yq when two letters picked without replacement from {y: 11, u: 2, q: 1}. 11/182 Three letters picked without replacement from {n: 3, o: 1, k: 1, j: 1, l: 1, f: 6}. Give prob of sequence ofl. 1/286 Three letters picked without replacement from {u: 1, h: 6, j: 4, w: 4}. What is prob of sequence hhh? 4/91 Calculate prob of sequence sh when two letters picked without replacement from {s: 2, h: 5}. 5/21 Three letters picked without replacement from ieiiieiii. What is prob of sequence iie? 1/6 Four letters picked without replacement from bbbbbbbbb. What is prob of sequence bbbb? 1 Four letters picked without replacement from {v: 2, o: 6}. Give prob of sequence ooov. 1/7 Three letters picked without replacement from iiwwpwnwwpiippnwii. Give prob of sequence wwi. 5/136 Two letters picked without replacement from auufzwfmzuzu. Give prob of sequence uz. 1/11 Two letters picked without replacement from fbxsffbfmxmm. What is prob of sequence xx? 1/66 Three letters picked without replacement from uuuuuduuuuuuuuuuuu. What is prob of sequence udu? 1/18 What is prob of sequence wy when two letters picked without replacement from {v: 1, q: 9, y: 2, w: 2}? 2/91 Four letters picked without replacement from {s: 4, z: 2, y: 1, j: 2, h: 1}. What is prob of sequence zsjz? 1/315 What is prob of sequence jvv when three letters picked without replacement from {j: 1, v: 3}? 1/4 Calculate prob of sequence ej when two letters picked without replacement from jjjjjeeeeejeejejjej. 5/19 Calculate prob of sequence vg when two letters picked without replacement from gdhhhhvghvhvgv. 6/91 Two letters picked without replacement from ccrcitckitci. What is prob of sequence ct? 5/66 What is prob of sequence wkw when three letters picked without replacement from wwwwkwwkwwwkww? 55/364 Four letters picked without replacement from {m: 2, q: 1, g: 1, a: 2, u: 1}. What is prob of sequence qumm? 1/420 Two letters picked without replacement from jeq. What is prob of sequence qj? 1/6 Three letters picked without replacement from vvvvvvvvvv. Give prob of sequence vvv. 1 Four letters picked without replacement from {c: 7, p: 2, v: 4, w: 1}. Give prob of sequence wvpc. 1/429 What is prob of sequence bb when two letters picked without replacement from zzbbz? 1/10 Calculate prob of sequence
{ "pile_set_name": "DM Mathematics" }
uppose 20886 = -2*q - q. Let s = -125359/18 - q. Let h = 6751/378 + -272/27. Calculate the common denominator of s and h. 126 What is the common denominator of 143/300 and (-125)/48 - (-12 - (-23 + 13)) - 2? 1200 Let c = -24971/24 + 12921/8. Let a = c - 591. Let x = 25903/6165 + -2/1233. Calculate the common denominator of a and x. 15 Let w = -71684 + 71738. Let l = 66 + -42. What is the smallest common multiple of w and l? 216 Let m be (-91)/56*(-2393)/2. Let s = -1943 + m. Calculate the common denominator of -3/464 and s. 464 Find the common denominator of 25841/9452 + 8/32 - (-28 - -31) and 2/5. 11815 Let m(q) = -6*q + 4. Let x be m(3). Let f = 2981 + -1485. What is the common denominator of -13/21 and 1*f/252 - 4/x? 63 Find the common denominator of 61/150 and (-34)/5*((-392)/96)/7. 150 Suppose 5*w - 468 = -4*c + 195, -c = -4*w - 150. What is the least common multiple of 450 and c? 4050 Find the common denominator of -39/292 and (27/90)/(30/25) + (-641)/2044. 2044 Let n = 10450 - 10440. Calculate the lowest common multiple of n and 105. 210 What is the lowest common multiple of 342 and -7 - ((-1)/(-2))/((-29)/24650)? 3762 Let i(q) = -2*q**3 + 45*q - 28. Let m be i(7). Let p = -372 - m. What is the smallest common multiple of p and 3? 27 Let m = 0 - -18. Suppose -6*p + 10*v = 11*v - 63, 2*v - 18 = 0. What is the smallest common multiple of p and m? 18 Let v be (-5)/(-2) - (-2 + 5/2). Let g be 1/v + 21/(-14). Find the common denominator of g - ((-126)/(-12) - (-1)/3) and -10/31. 186 Let b = 37632 - 1467566/39. What is the common denominator of b and (-6)/(-15) - 903/45? 39 Let m = -3552 + 3937. What is the lowest common multiple of 77 and m? 385 Suppose 688*z = 2*l + 686*z - 4, 0 = l - 5*z + 14. Calculate the least common multiple of 192 and l. 192 Let b be (-5107)/6*1*9/6. Let m = 1299 + b. What is the common denominator of m and -17/12? 12 Let h = -18236557/11 + 1656532. Let u = 2671/2 + h. Find the common denominator of u and 41/30. 330 Let n be 357/49 - 4/14. Calculate the common denominator of (54/(-434))/(14/147) and 1 + ((-651)/36)/n. 372 Let p = -82413 - -333030913/4041. What is the common denominator of p and 137/6? 8082 Let l be ((-52)/(-12))/((-102)/(-201) - 2). Let f = l - 17/25. Find the common denominator of 77/18 and f. 36 Suppose -f = f - 38. Suppose 0 = 7*l + f - 110. Suppose l*g - 135 = 4*g. Calculate the lowest common multiple of g and 9. 45 Let v(o) = -35*o + 42. Let n(c) = 2*c + 2. Let q(a) = 2*n(a) + v(a). Let p(z) = 3*z**2 + z. What is the lowest common multiple of q(-4) and p(-2)? 170 Suppose 0 = -7*d + 3*d - 5*t - 9, 3*d - t - 17 = 0. Suppose -n + d*x = -24, -4*n = -5*x - 114 + 40. What is the smallest common multiple of 12 and n? 48 Let o(x) = x**3 + 4*x**2 - 18*x + 6. Let i be o(-6). Calculate the common denominator of 126/441 + 4/i*37 and 5/78. 546 Let m be (6906/40*-6)/2. Let t = m + 513. Let p = -2197 - -30745/14. Find the common denominator of t and p. 140 What is the common denominator of (-1)/(-15) + 86576/(-13440) and 49/41? 328 Suppose 2*t - 10*g = -13*g - 21, -39 = 4*t + 5*g. Let u(p) = p**3 + 8*p**2 + 10*p - 8. Calculate the least common multiple of u(t) and 118. 236 Suppose 4*u = 17*u + 52. Calculate the least common multiple of 2/u + 427/14 and 10. 30 Let g = 528/35 - 21447/1540. Calculate the common denominator of g and 18/10 + 27993/(-21285). 132 Suppose -y + 10*r - 5*r = 17628, 52969 = -3*y - 2*r. Let t = y + 352987/20. Find the common denominator of t and -85/8. 40 Let y = 44 - 98. Calculate the common denominator of ((-417)/y)/(-6 - 0) and (-4 - -6) + (-267)/42. 756 Calculate the common denominator of 3624/810 - ((-15)/9)/((-7)/21) and -59/945. 945 Let l = -191/518 + 1/14. What is the common denominator of l and 55/259? 259 Let l = 115 - 61. Suppose p = 4*n - 242, 4*n - 15*p = -13*p + 244. Calculate the smallest common multiple of n and l. 540 Let z = -116261/106038 - -517/411. What is the common denominator of -103/90 and z? 3870 Let w be (89 - -17)/((-3)/(3/(-2))). Suppose q + w = 2*q. Find the common denominator of 97/22 and (-55)/(-22)*q/80. 352 Calculate the lowest common multiple of 11 and (90/36)/(-5)*-2540. 13970 What is the common denominator of (-162484)/301840 - (-6)/11 and -25/36? 1260 Let s = 49/51 - 4115/408. Suppose -3 - 24 = r. Calculate the common denominator of s and ((-1)/r)/((-64)/(-984)). 72 Suppose -3*o - 13 + 34 = 0. Let c = 242 + -10. Suppose o*m = c - 85. Calculate the lowest common multiple of m and 21. 21 Let t = 161/216 - -529919/3672. Let y = t + -22807/170. Find the common denominator of y and (((-81)/(-4))/(-3))/(14*(-16)/(-128)). 70 Let i be -1*3/(-6)*14. Let c be -3 + (10/50 - 29/(-5)). Let v = i - c. Calculate the lowest common multiple of v and 8. 8 Suppose -m = 3*z - 25, -3*z + 2*z - 5 = -m. Let i(v) = -v**3 - 4*v**2 + 2*v + 51. Calculate the smallest common multiple of i(-6) and m. 1110 Suppose 0 = -136*a - 35*a + 274626. Calculate the smallest common multiple of a and 99. 14454 Suppose 0 = 10*l + 10*l - 3060. Suppose -l*y + 145*y = -112. Calculate the least common multiple of 70 and y. 70 Let n = -387/8 + 15643/328. Calculate the common denominator of n and 57/58. 2378 Let c = -1881409/66 - -28507. What is the common denominator of -107/4632 and c? 50952 What is the least common multiple of 190 and (3 - 7839/(-36)) + (-12)/16? 4180 Suppose 5 = -5*i + 30. Suppose 2*j - 57 = i*z, z - 3*z = -6. Calculate the least common multiple of j and 16. 144 Let b(i) = -7*i**2 + 8*i + 15. Let u be b(-3). What is the smallest common multiple of 28 and (1 + 3 + 5)*(-64)/u? 56 Suppose 4*o - 80 - 40 = 0. Let y(m) = -m**2 - 12*m + 49. What is the lowest common multiple of o and y(-11)? 60 Let b = -146407/102234 + -34/4647. Calculate the common denominator of 1/33 and b. 66 Let j(h) be the first derivative of -3*h**2/2 + 74*h - 45. Calculate the lowest common multiple of 64 and j(-10). 832 Let h be (0 - 2) + -136 + 2 + -2. What is the common denominator of (5 + -6)*-1 + h/(-20) and -47/4? 20 Suppose 5*x = -887 - 248. Let u = -203 - x. Calculate the smallest common multiple of u and 69. 552 Let a = -457 + 478. What is the least common multiple of 30 and a? 210 Let n = -5/733 - -21317/8796. What is the common denominator of n and 2 - 25/80*8 - (-57)/(-27)? 36 Let g = 91713344/13 + -5771469142/819. Let y = 7903 - g. What is the common denominator of -79/28 and y? 252 Let f = -2 + 12. What is the lowest common multiple of 9/5*45/(-54) - (-165)/6 and f? 130 Let u = -13 - -25. Let m = -552 + 569. Suppose -m*y + 92 + 44 = 0. Calculate the smallest common multiple of y and u. 24 What is the smallest common multiple of 1143/5 - (4 + (-374)/110) and 456? 456 Suppose 4*r + 6462 = -19*g + 24*g, 1277 = g - 3*r. What is the smallest common multiple of g and 590? 6490 Let d = 30241717/282 - 107240. What is the common denominator of -56/1269 and d? 2538 Suppose -527210 = -24*r - 109*r + 116510. What is the lowest common multiple of 176 and r? 9680 Find the common denominator of -89/2028 and (-6)/27 + (-141919)/(-422838). 2028 Let i = -850175 - -1393436782/1639. Calculate the common denominator of i and -23/298. 3278 Let v be (-40)/(-160) - 13557/4. Let d = 101701/30 + v. Find the common denominator of d and 7*1/((-6)/1). 30 What is the common denominator of (27/450)/((-7)/(3605/(-6))) and 2/4*55/25? 20 Let z(t) be the second derivative of 4*t**3 + 115*t**2/2 - 7*t + 12. Calculate the lowest common multiple of z(0) and 8. 920 Let z(v) = 3*v**3 - v**2 - 19*v + 168. Let u(d) = 2*d**3 - d**2 - 12*d + 112. Let t(k) = 7*u(k) - 5*z(k). What is the lowest common multiple of t(-6) and 99? 198 Let y = -153 + 428. What is the lowest common multiple of (y/25)/(-1 - -2) and 14? 154 Suppose -g = 4*g - 10. Suppose 2 = g*j - 68. Calculate the lowest common multiple of j and 1. 35 Let k = -332 - -342. Let c(z) be the second derivative of -z**4/12 + 4*z**3/3 - 4*z. What is the least common multiple of k and c(6)? 60 Let p(r) = -r**2 + 11*r + 60. Let h be p(15). Suppose 8 = 3*y - 2*t, 6 = 2*y - h*t - t. Calculate the common denominator of (-4)/30*2/y and -2/5. 15 Suppose -14019 = 144*h - 91305 - 21210. Calculate the smallest common multiple of 63 and h. 4788 Suppose 9*g = -3*g - 12. Let m(p) = -59*p - 50. What
{ "pile_set_name": "DM Mathematics" }
in 2945, -9, -4/5, 1? -4/5 What is the closest to -0.2 in 12/31, -25, -75, 7? 12/31 What is the nearest to 7 in 2, -320, 2/5, -2/13, 228? 2 Which is the closest to 0.3? (a) 0.5 (b) -15.9 (c) 6 a Which is the closest to 1? (a) 1.57 (b) 2/7 (c) -1.8 (d) -87 a What is the nearest to -0.1 in -13, -29, -2262? -13 Which is the nearest to 0.1? (a) 0.079 (b) 6.8 (c) 0.2 (d) 1 a What is the nearest to 0.1 in -0.1, -16/209, -4, 8.99? -16/209 Which is the closest to 26? (a) 0.1 (b) 0.7 (c) 15442 (d) -2/5 (e) 1/4 b What is the closest to 1 in 601, -1, -16, -2/13? -2/13 What is the nearest to 4583 in -0.1, -3/1438, -1/3, -2? -3/1438 Which is the nearest to -2/17? (a) -26 (b) -0.2 (c) -32217 b Which is the closest to 19? (a) 5/64 (b) 0.2 (c) -6.9 b What is the closest to -0.1 in -0.3, 250613, -1/2? -0.3 What is the closest to -2/5 in 0.3, -2081, -5, 1/11, -5/78? -5/78 Which is the nearest to -821? (a) -0.2 (b) -1 (c) -13/2 (d) 4 (e) -5 c What is the nearest to -1834/3 in -0.1, 5, -3/2441? -0.1 Which is the nearest to 25034? (a) 4 (b) -31 (c) -1 a What is the nearest to 244 in 0, 27097, -5, -3/2? 0 Which is the closest to 0? (a) 3 (b) -2/5 (c) -1/4 (d) -8/11 (e) -1767 (f) 5 c What is the nearest to 229 in 3472/3, 0, -6? 0 Which is the nearest to -1? (a) -4/7 (b) -1/5 (c) -68.1 (d) 1/2613 a What is the closest to -65 in -4, 0.2, 0, 0.4, 4/3? -4 What is the closest to -1/26 in 1031, -2.5, 2/7? 2/7 Which is the nearest to 0.041? (a) 0.2 (b) 264 (c) -1/5 (d) 3 (e) -2/13 a What is the nearest to -0.5 in 415, -2/25, -4/9, -18? -4/9 What is the closest to -7 in 5/4, 4, -51, -0.3, -1.042? -1.042 What is the closest to 2/9 in 8, -4, 1, 19? 1 Which is the closest to -2.492? (a) 65 (b) 1/8 (c) 0 (d) -1/6 (e) 3 d What is the closest to 0.2 in 22, 4, 0.3, 57, 7? 0.3 What is the nearest to -22 in 2/5, 3.4, -0.061, -2/7, -1/3? -1/3 Which is the nearest to -1374? (a) -5/2 (b) 0 (c) -1/6 (d) 3 (e) 0.01 a What is the closest to 1 in -797, -4/5, 96, 7? -4/5 Which is the nearest to -1? (a) 5 (b) -4355973 (c) 0.2 c What is the nearest to -14 in -229, -5, -2/9, 77? -5 What is the nearest to -0.1 in 1/2, -208, -3, -1/4, 565? -1/4 What is the nearest to 2/3 in 4/3, 2891, -135? 4/3 What is the nearest to -85 in -7, -3/4, 3/37687? -7 What is the nearest to -2 in 1, 11, 633/8? 1 Which is the closest to 3/17246? (a) -28 (b) -1/5 (c) 2 b What is the closest to -0.07 in -1/1027, -4, -0.3, 2/7, -9/7? -1/1027 Which is the closest to -17993? (a) 0.4 (b) -10/3 (c) 4 (d) 0.5 (e) 2/3 b Which is the nearest to -5? (a) -10/9 (b) -24 (c) -2/21 (d) -3 d Which is the nearest to -2.4? (a) 486 (b) -59/13 (c) 0.3 b Which is the nearest to 0.5? (a) 0.06 (b) 385/13 (c) 4 a Which is the closest to 2/13? (a) -1.3 (b) -0.4 (c) -20 b What is the nearest to 3/2 in 3, 0.5, 1/15, -0.1, 193? 0.5 Which is the nearest to 1301? (a) -2/9 (b) -3 (c) -0.4 (d) -4 (e) 2 (f) 4 f Which is the nearest to 304? (a) 1/8 (b) -4.5 (c) 6/7 (d) -1/8 (e) -0.18 c Which is the closest to -2/13? (a) -43/33 (b) 0 (c) -6 (d) -159 (e) -0.2 e What is the closest to 4 in -0.4, 1/3, -2.7, -5, -2.3, -1.014? 1/3 Which is the nearest to -13? (a) 5 (b) -2/11 (c) 2/7 (d) 14.2717 (e) 4 (f) 0.5 b Which is the nearest to -0.2? (a) 104 (b) -4291 (c) -25 (d) -0.5 d Which is the nearest to -4854129? (a) -0.8 (b) -2 (c) -4 c What is the closest to -1.3 in 7, 2/17, 3, 2/9, -0.1, 0.166? -0.1 What is the nearest to 9 in -4, -3, -922034? -3 Which is the nearest to -1? (a) 76 (b) -1333.416 (c) 1/5 c What is the nearest to -7 in -2/5, 3/7, 413, 6/7, -4? -4 Which is the closest to -2/3? (a) 2 (b) 1/2 (c) -1 (d) 51/77 c Which is the nearest to -1/3? (a) 1.6 (b) 4704.5 (c) 0.1 (d) 2/23 d Which is the closest to -10? (a) -226/39 (b) 0.5 (c) 0.13 (d) 2.4 (e) 4 a What is the nearest to -2/7 in 94297, 3/5, 227.9? 3/5 Which is the nearest to 2? (a) 3/4 (b) -2 (c) -3/8 (d) -0.327842 a Which is the nearest to -7/5? (a) 0.19 (b) 2/31 (c) -5 (d) 5.5 b Which is the nearest to -1? (a) -150473 (b) 4/7 (c) -2 c What is the nearest to 13734 in -8, 5, 10, -5, 0.5? 10 What is the closest to 2/5 in 5, 34, -78, -5, -2/33? -2/33 Which is the nearest to 1/5? (a) 1/4 (b) -0.01 (c) -365/4 (d) 1/3 a What is the nearest to 0 in 5684/11, -1, 1.5? -1 What is the closest to -0.2 in 0.1, 0.5, -1164, 128, 77, 2? 0.1 What is the nearest to 18 in -1/6, -60, 0.08903? 0.08903 What is the closest to -4 in 0.469, 4/7, 1676? 0.469 Which is the nearest to -1? (a) 2/3843 (b) -11/7 (c) 0.03 b What is the nearest to 7 in -9/2, 0.3, -169? 0.3 Which is the nearest to -6? (a) 15.1 (b) -1/2 (c) 0.5 (d) -115 (e) 3/5 b Which is the nearest to -0.3? (a) -5 (b) 0.14 (c) -7563 (d) -4/5 (e) -2 b Which is the nearest to 4? (a) 2/7 (b) 26 (c) -70475 a What is the nearest to 21 in -5205, -3, 2, 1, -0.5? 2 Which is the nearest to 1? (a) 30 (b) 0.5 (c) -163 (d) -0.1 b What is the closest to 0 in -11, 2, -2/234381, -1? -2/234381 What is the closest to -14 in 22, 74, 2.7? 2.7 What is the nearest to 0.04 in 2/7, -1/3, -0.3, -4, -2, -12253? 2/7 What is the closest to -2 in -3/7, 0.13, 0.4, -0.71, 3.4? -0.71 Which is the nearest to 0? (a) -0.03 (b) -0.2 (c) 499 (d) -59 (e) 0.4 (f) -0.07 a What is the nearest to 2/11 in 0.2, 3, -2/29, 0, 0.7, 0.046? 0.2 Which is the closest to 0.4? (a) -144 (b) 1 (c) -2/11 (d) 1.1 c Which is the closest to 174? (a) 4 (b) -1 (c) 404118 a What is the closest to -2/7 in 1, -19018, -0.7, 0.1? 0.1 Which is the closest to -0.175? (a) 14 (b) -4 (c) 62 (d) 3 d What is the closest to -0.13 in 2/39, -0.36, -1/3, 2/43, -0.4? 2/43 What is the closest to 435115/3 in 0.02, -1/7, -0.8? 0.02 What is the nearest to -19117 in 0, 13/3, 0.8? 0 What is the nearest to -2 in -2, -3, -452? -2 What is the nearest to 0.321 in 667, 113, 0.5? 0.5 What is the nearest to 0.2 in -0.5, -0.3, -65.7, -150, -4? -0.3 Which is the nearest to -14/3? (a) -3/5488 (b) 5 (c) 2 a What is the nearest to -733 in -3/8, 24539, -3, -4, -1/9? -4 What is the nearest to 119.0074 in 4, 42, 0.4? 42 Which is the closest to -2/7? (a) 11872 (b) 477 (c) 2/5 c Which is the closest to 2/7? (a) 1/5373 (b) 9 (c) 5 a What is the nearest to 0.3 in 5/2, 0.23, -5, 4/81, -8? 0.23 Which is the nearest to 2.68? (a) 3 (b) -115 (c) -4 (d) -1/7 (e) -2 a What is the nearest to 1 in -3/7, 5, -908, 4? -3/7 What is the nearest to 0.5 in -0.01, -2, -17, 51, 2/13, -6? 2/13 Which is the nearest to 2? (a) -2/11 (b) 13 (c) 3/7 (d) 0.06 (e) -88/7 c What is the closest to -296 in -0.2, 5, -5, 114? -5 What is the nearest to -118/3 in 3, -860, -1/3, 20? -1/3 What is the closest to -2 in -23/5, -0.2, -2, 0.08? -2 What is the nearest to 2 in 6, -0.531, 0.4? 0.4 What is the nearest to -0.1 in 647, 0.5, 4? 0.5 What is the closest to -2/11 in -1045, 0, 16, 0.29? 0 Which is the nearest to -0.2? (a) -4/3713 (b) 100.8 (c) 3/4 a Which is the nearest to -18/7? (a) -0.3 (b) 3 (c) 4 (d) 0.09 (e) -30 a What is the closest to 100 in 3, 1/3, -0.1118, -3? 3 What is the nearest to -1/3 in 250, 1/14, -49? 1/14 What is the nearest to -1.9 in 0.1, -99, -11.04? 0.1 Which is the nearest to -3553? (a) -0.06 (b) 85 (c) -0.5 c What is the closest to -0.8 in 2/483, 0, 3/14, 3/5? 0 Which is the closest to 12? (a) 1 (b) 2305 (c) 0.08 a Which is the nearest to -2/7? (a) 12 (b) -362 (c) -2/2805 c Which is the nearest to -0.3? (a) -0.1 (b) -1335 (c) -0.07 (d) 15 a Which is the closest to -3/4? (a) 2 (b) -2/129127 (c) 0.1 b What is the nearest to 0.2 in -87, 37, 0.04, 1, -1, -0.09? 0.04 What is the closest to -0.2 in 4628, 3, 1.1, 1.2, 5? 1.1 What is the closest to 4 in -6, 5, -0.1, 18, 65? 5 What is the nearest to 1/3 in 424, -13, 0.2, 9, 5? 0.2 What is the closest to 2/35 in -0.01, -0.025, 3/4, 6284? -0.01 What is the closest to 4.13 in 3, 0.1, 1572? 3 What is the nearest to -3 in 0.27, -4, 7.78854, 2/3? -4 What is the closest to 0.2 in 1/6, 124, -2/20929, 0.6? 1/6 What is the nearest to -3 in 5449, 92, 0.4? 0.4 What is the nearest to 1 in -1, 5/2, 1, -1/300, 14/3? 1 What is the nearest to 22/7 in 30, 16, -2, -6/13, -1? -6/13 What is the nearest to 0.2 in 4, 4/21, -26.2, -6, 2/
{ "pile_set_name": "DM Mathematics" }
nd give b. -2 Express -120*i**2 + 2*i - 22 + 3*i**3 - 4*i**3 + 120*i**2 in the form n + q*i + j*i**3 + p*i**2 and give n. -22 Rearrange (-2*t + 5*t - t + t + 3*t - 3*t + (0 - 1 + 3)*(-4 + 2*t + 4))*(5 - 1 + 2)*(-2 + 0 - 1) to l*t + q and give l. -126 Express 50 + 337*j + 343*j - 676*j in the form h + s*j and give h. 50 Rearrange 15*o**2 + 4*o**2 - 4*o**2 - 19*o + 19*o**3 + 19*o to k*o + f*o**3 + g + m*o**2 and give f. 19 Rearrange 5 + 2*n**4 + 2*n**2 - 9 + 3*n**3 + n - 5*n**4 - n**3 + 4*n**4 to the form r + z*n**3 + y*n**2 + w*n + m*n**4 and give z. 2 Express 6*b**3 - 7*b**3 - 2 + 8*b**2 + 3*b**3 - b in the form a*b**2 + y + i*b**3 + c*b and give y. -2 Rearrange -87*k - 7*k + 23*k + (-k + 0 + 0)*(0 + 0 - 2) - 2 + 5*k + 2 + 2*k - 1 + 1 to w*k + v and give w. -62 Express 12*b**2 - 72386*b - 98*b**2 + 72388*b as g + v*b + n*b**2 and give n. -86 Express -l**2 - 2*l + 3*l + 8499*l**3 - 2 - 8498*l**3 as a*l + k + w*l**2 + m*l**3 and give m. 1 Express o - 2*o**2 - o + (o + 2*o - 5*o)*(-5*o + 4*o - o) + 1739*o + 487*o - o**2 - 1110*o as g*o + x*o**2 + n and give x. 1 Express -8*q - 17*q - 24*q in the form h + s*q and give s. -49 Rearrange -8257*q - 3*q**2 + 35 + 8257*q to t*q**2 + w*q + h and give t. -3 Rearrange -1850*k - 2 + 2 + 2191*k to r*k + g and give r. 341 Rearrange -z**4 - 2*z**2 + 315*z + 241*z**3 - 491*z - 238*z**3 to t*z**2 + f*z**4 + b*z**3 + i*z + w and give t. -2 Express -402*j**2 + j + 176*j**2 + 1 + 228*j**2 + 227*j**4 in the form u*j**3 + p*j + o*j**4 + m*j**2 + x and give x. 1 Express -2 + 25*n**2 - 19*n**4 + 20*n**4 - 55*n**2 + n in the form f*n**4 + t + m*n + d*n**3 + j*n**2 and give j. -30 Express -159*v - 1066 + 1066 + (0 + 6 - 4 - 2*v)*(4 - 3 - 3) in the form r + u*v and give r. -4 Rearrange 1048*b**2 - 26*b - 33*b + 59*b to s + y*b**2 + o*b and give y. 1048 Express (197 - 58 + 248)*(4 - 4 + 2)*(2*q - 3*q - q) in the form n + f*q and give f. -1548 Rearrange 269*x + 261 - 261 to the form h*x + p and give h. 269 Rearrange (-12 + 7 - 4)*(0*l**3 + l**3 - 3*l**3)*(l + 0*l + l)*(-43 - 21 + 30) to the form k*l + h*l**4 + b*l**3 + v*l**2 + s and give h. -1224 Rearrange (-50 + 3*b + 50)*(94 - 58 - 62) to r + p*b and give p. -78 Express -2 + 3 + 0 + 1 - 4 + 107*o in the form c + w*o and give w. 107 Express -957*t - 957*t + 9 - t**2 + 1912*t + 25 as g*t + j*t**2 + y and give j. -1 Rearrange 2*f - 17*f**2 - 2*f - 8*f**3 - 67*f**2 + 10*f**3 to the form v*f + g + l*f**3 + c*f**2 and give v. 0 Rearrange (2*u + 0*u**2 - 2*u**2 - u**2)*(-10 + 4119*u - 2057*u - 2059*u + 5*u**2) to the form g + t*u + q*u**2 + y*u**4 + k*u**3 and give y. -15 Express 9 + 2 + 0 - 4 - 12*a**2 + 4 in the form f*a**2 + m + t*a and give t. 0 Rearrange (3*h - 2*h - 3*h)*(-4 + 4 + 3*h) - 462*h + 462*h + 8*h**2 to c*h + s + m*h**2 and give m. 2 Express 30*y**4 + 53*y**4 - 24*y**4 + (-4*y**3 + 3*y**2 - 3*y**2)*(-6*y + 2*y + 2*y) in the form o + s*y**3 + v*y + z*y**2 + r*y**4 and give r. 67 Rearrange 2 - 53*u**2 + 52*u**2 + 67*u - 92*u + u**3 to h*u**2 + r + a*u + z*u**3 and give r. 2 Rearrange (4*h - h + 0*h)*(45 + 53 - 92)*(-2 + 2 - 2*h**2) to g + y*h**2 + z*h**3 + u*h and give z. -36 Rearrange -2 + a**2 + 21*a + 13*a - 8*a**3 - 31*a to the form j*a**3 + d*a**2 + k*a + r and give k. 3 Express 57*j**2 - 7*j**2 + 1 + 3*j + 40*j**2 - 25*j**2 as y*j + r + u*j**2 and give y. 3 Rearrange -20 + 17 + 50*d**2 - 37*d**2 to the form o*d**2 + w*d + f and give o. 13 Rearrange -2*r - 158 - 12 + 89 to m*r + c and give m. -2 Rearrange (1 - t - 1 + 3 - 3 + 2*t + (3 - 3 - 5*t)*(3 - 4 - 2))*(2 - 1 + 2) to n*t + r and give n. 48 Express 3*d + d - 2*d + (0*d + 2*d - d)*(-3 + 0 + 2) + (-d - 2*d + 6*d)*(-1 + 2 + 1) + (-2 + 1 + 2)*(5*d - 57 + 57)*(3 + 2 - 6) in the form t*d + i and give i. 0 Express -294*y**2 + 99*y**2 - 368*y**2 + (3*y - y + 0*y)*(5*y - 2*y - 2*y) in the form a*y + h + x*y**2 and give x. -561 Rearrange 53*p**3 + 28*p - 51*p**3 + 131*p to k*p**2 + o*p + b + q*p**3 and give o. 159 Express (4*l - 3*l + l)*(-3 - 1 + 2) - 682423 + 4*l + 682043 + l as g + s*l and give g. -380 Express (-5*k + 15*k + 4*k)*(-1 + 2 - 7) + 4*k + 3*k - 6*k in the form q*k + d and give q. -83 Rearrange 18*s**3 + 20*s**3 + 22*s**3 + (4*s**2 + s**2 - 4*s**2)*(-2*s - 2*s + 3*s) to the form b*s**2 + k*s + p*s**3 + x and give p. 59 Rearrange -m**3 + 0 + 0 + (-578*m + 674*m - 1217*m)*(4*m**2 - m**2 + 3*m - 2*m) to the form q*m**3 + f*m + d*m**2 + w and give q. -3364 Rearrange -202*x**2 + 714*x**2 + 1049*x**2 to h*x + q + c*x**2 and give c. 1561 Rearrange -120*k + 41*k + 109 + 39*k + 38*k to f + g*k and give g. -2 Express 9*c**3 + 3*c**2 + 0*c**2 + 7 + 9 - 2*c**4 - c**2 - 11*c**3 as o*c**3 + m + s*c + d*c**4 + k*c**2 and give o. -2 Express 9 - i**3 - 4*i - 11 - 2*i**3 + 2*i**2 + 19*i**3 in the form t*i**3 + u*i + v*i**2 + x and give x. -2 Rearrange (0*r + 0*r + 4*r)*(0 + 1 + 0 + (3 - 4 - 3)*(-4 + 0 + 2)) - 38 - 3*r + 38 + (7 - 7 + 2*r)*(4 + 1 - 3) to the form m + t*r and give t. 37 Express (327 - 327 + 34*v**2)*(-4 + 4 + 5) as x*v + t*v**2 + m and give t. 170 Express (-7*c**2 - 24*c**2 - 34*c**2)*(0 + 0 + 2)*(-2 - 3 + 4)*(-4 + 5 - 3) in the form r*c + i + y*c**2 and give y. -260 Rearrange 37 - 48 + 49 + 39 + 2*i - 7*i**2 to j*i**2 + x + s*i and give x. 77 Rearrange -29 + 61 - 527*q - 32 to the form s + l*q and give l. -527 Express (2 + 1 - 6)*(-2*u**2 + 27*u**3 - 17*u**3 + 75*u**3) in the form w + a*u**2 + c*u**3 + g*u and give a. 6 Express -2*j**3 - j**3 + 2*j**3 - j**3 + 514 in the form i*j + o*j**3 + m*j**2 + g and give g. 514 Rearrange (0 - v**2 + 0)*(4*v**2 - 5*v**2 + 3*v**2) + (15 - 22 + 25)*(-8*v**4 + 5*v**4 - 13*v**4) to a*v**3 + s*v**2 + d + t*v**4 + b*v and give t. -290 Express -6*y - 2*y - 5 + 14*y**2 + 10*y in the form f*y + z + d*y**2 and give d. 14 Express (-3 + 2 - 1)*(2 - 5 + 16)*(58*u**4 - 28*u**4 + u**3 - 28*u**4) as b*u**2 + r*u**4 + l*u**3 + g*u + o and give b. 0 Express -b + b + 5*b**4 + (-8*b + 4*b - 2*b)*(5*b**3 - 14*b**3 + 7*b**3) as f*b + s*b**4 + y*b**2 + g*b**3 + i and give s. 17 Express 1 + 4482*f**2 - 4551*f**2 - 2 - 1 as s + z*f + n*f**2 and give n. -69 Express -139*f**2 - 225*f**2 + 0*f**2 + 57*f**2 as b*f**2 + c + g*f and give b. -307 Rearrange (2 + 4 - 4)*(-1 + 0 + 3)*(-7*r - 143 + 87 + 81) to z + u*r and give z. 100 Express -15*k**4 - 38 + 5 + k**2 - 17*k**4 + 31*k**4 - 2*k**2 as y*k**4 + f*k**2 + v + t*k + x*k**3 and give y. -1 Rearrange -28 + 13*v - 80 + 9*v - 9 - 21*v to the form g*v + m and give m. -117 Express (0*v + 4*v - 5*v)*(v**2 + 2*v**2 + 2*v**2) + 44*v - 44*v - 5*v**3 in the form n + s*v**3 + x*v**2 + k*v and give s. -10 Rearrange (27 + 35 + 54)*(1 - 2*a - 2*a + 1) to f + v*a and give f. 232 Express 2*x**4 - 3 - 2 - 2*x + 2*x**3 - 4*x**3 + 39*x**2 - 16*x**4 + 16*x**4 in the form c*x**3 + o*x**2 + m*x**4 + l + z*x and give o. 39 Express -7 + 6 - 1179*p - 220*p + (1 + 3 - 5)*(-3*p + 3*p + p) - 3*p - p + p as l*p + m and give m. -1 Rearrange (-24674 + 13283 + 13877)*(-1 + 3 + 0)*(-2*p**2 + 2*p**2 + p**4) to z*p**4 + y*p + t + u*p**3 + j*p**2 and give z. 4972 Express -h**3 + 47*h**2 + 144*h + 80*h**2 - 63*h - 81*h in the form q + o*h**2 + i*h**3 + p*h and give i. -1 Express -50*g + 14*g + 12*g + 5*g + 20*g + 6*g**2 - 6 in the form u + c*g + j*g**2 and give c. 1 Rearrange (-6*q**3 + 9 - 9)*(-3 + q + 3) + (q**3 - 3*q**3 + q**3)*(-3 - 187*q + 98*q + 94*q) to the form x*q**2 + m + y*q**4 + a*q**3 + i*q and give y. -11 Express 1728*y - 64*y + 317*y as b + i*y and give i. 1981 Express -2*t**2 + 2 - 10*t**3 + 16*t**3 - 6*t + 4*t - 5*t**3 in the form v + f*t**3 + o*t**2 + y*t and give o. -2 Express (1 - 6 + 3)*(6 + 0 - 2)*(36 + 36 - 71 - 31*l)*(1 - 1 + 2) in the form w + b*l and give b. 496 Express x**2 + 26*x - 19*x - 7*x in the form z*x**2 + t*x + q and give z. 1 Express 252*m**3 + m + 262*m**3 - 513*m**3 - m**4 - 16 in the form b*m + z + y*m**3 + o*m**4 + l*m**2 and give b. 1 Express -41*u**3 - 27*u**3 + 5*u**2 + u + 50 + 0*u**2 - 51 as x*u**3 + h + f*u**2 + v*u and give v. 1 Rearrange 28*h**2 - 7*h - 22*h**2 - h**4 - 3 - 4*h**2 + 2*h**3 to v*h**3 + m*h**2 + d + q*h**4 + y*h and give d. -3 Rearrange 3501*i**2 + 2*i**4 - i - 3497*i**2 - i**3 - 1 - 5*i**4 to the form c*i**2 + h*i**3 + g + s*i + b*i**4 and give g. -1 Express (17 + 17 - 180)*(-6*f - 23 + 23)*(-4*f + 3*f + 2*f)
{ "pile_set_name": "DM Mathematics" }
-22 = -5*z + 3. Suppose -z = v - 0. Let c(l) = l**3 + 6*l**2 + 5*l + 6. Determine c(v). 6 Let x = -1 - 0. Let n(s) = 4*s + 7. Let r(c) = 4*c + 6. Let z(o) = 6*n(o) - 7*r(o). Calculate z(x). 4 Let l be (-3)/(-2) + 28/(-8). Let k(n) = -4*n - 3. Give k(l). 5 Let w(p) = p - 4. Suppose 8*d = 4*d. What is w(d)? -4 Let o(h) = -4*h - 3. Let j = -4 - -6. Suppose 0 = m - 0*m - 4*z + 6, 2*z - 6 = j*m. What is o(m)? 5 Let i(y) = 4*y + 71. Let p be i(-19). Let r(w) = -5 - w + 2 - 1. Determine r(p). 1 Let x(k) = 4*k + 7. Let z(t) = -7*t - 13. Let r(c) = 11*x(c) + 6*z(c). Suppose 4*p - 5*v = 18 - 7, -2*p + 2*v + 4 = 0. Give r(p). -3 Let j(s) be the second derivative of -s**4/6 + s**3/2 + s. Suppose 6*c + 5*z = c, 3*z + 10 = -c. Suppose c*i = -5*l - 5, -i + 3 = 3*l - 0. Calculate j(l). -2 Let c be (-21)/(-3) + -2 + -1. Let p = -9 + c. Let h(f) = -f + 3 - 3. What is h(p)? 5 Let m(k) = -7*k - 2. Let b(x) = -16*x - 5. Let v(t) = 4*b(t) - 9*m(t). Suppose 4*q - 3*p - 18 = 0, -2*p = 5*q + p - 36. Give v(q). -8 Let u(d) = 2*d**3 - 3*d**2 - 3*d**3 - 1 + 0*d**3 + 4*d. Suppose 5*j - 4*g = -5*g - 23, 3*g = 2*j - 1. Let w be u(j). Let p(h) = h - 1. What is p(w)? -2 Let s(m) = 8*m - 3. Let j(k) = 24*k - 8. Suppose -5*w + 8 = -3*w. Let x(r) = w*j(r) - 11*s(r). Suppose -4*d - 2*z - 4 = 0, -2*d - 3*d = -3*z + 5. What is x(d)? -7 Let g(z) = z**2 - 6*z + 5. Suppose 0 = -3*m - 4 - 5. Let p = 0 - m. Suppose -2*a + 2*v - 18 = -7*a, 9 = p*a + 3*v. Calculate g(a). -3 Suppose -33 = -0*j - 3*j. Let y = 17 - j. Let x(t) = t**2 - 7*t + 5. Give x(y). -1 Let k(p) = p**2 - 2*p - 1. Let t(y) = 3*y**2 - 3*y - 3. Let w(h) = 5*k(h) - 2*t(h). Let f(l) = l**3 - 3. Let c be f(0). Calculate w(c). 4 Let p(q) = q. Let m be (10/3)/((-16)/(-24)). What is p(m)? 5 Let a(q) = 5*q - 3. Let v(l) = -6*l + 3. Let g(k) = -7*a(k) - 6*v(k). Let s(n) = n**3 - 10*n**2 + 8*n + 5. Let f be s(9). What is g(f)? -1 Let g(l) be the second derivative of l**3/6 + l**2/2 + 7*l. Let v be g(3). Let k(r) = r**2 - 2*r. Give k(v). 8 Let k(w) be the third derivative of -5*w**4/12 - w**3/6 + 4*w**2. Calculate k(-1). 9 Suppose -5*n + 3 = -3*c + 2*c, 0 = -3*c - 3*n - 9. Suppose 3*s - 5*l + 2*l = 6, -2*l = -3*s + 4. Let i(b) = -3*b + s + 7*b + 0 + 3. Determine i(c). -9 Let a(n) = -n**3 - n**2 + 2. Let o be a(0). Suppose -o*u = 2*u. Let d(z) = -z**2 - 9. What is d(u)? -9 Let v(l) be the second derivative of l**5/20 + 7*l**4/12 + 4*l**3/3 + 3*l**2/2 + 3*l. What is v(-6)? -9 Suppose 3*p = 13 + 11. Let a(v) = -v**2 + 10*v - 11. Let t be a(p). Let f(x) = -x + 2. Give f(t). -3 Let p(g) be the third derivative of -g**5/120 + g**4/12 + 5*g**3/6 + 5*g**2. Let a(w) be the first derivative of p(w). Determine a(-5). 7 Let i(m) = m + 8. Suppose 7 - 37 = 5*z. Calculate i(z). 2 Suppose 12 = -2*r + 2*d, 5*r = d - 0*d - 50. Let t = r + 7. Let c(k) be the first derivative of k**4/4 + 5*k**3/3 + 3*k**2 + 5*k - 1. Calculate c(t). -3 Let h = 18 - 13. Let g(r) = r**3 - 6*r**2 + 5*r - 6. Give g(h). -6 Let a(k) be the first derivative of -k**2/2 + k + 90. Suppose -7*b + 4*b = 0. Let i be 0 + (-2 + 3)*b. Give a(i). 1 Let c(t) = t**2 + 5*t - 7. Suppose 5*x = x + 3*p - 30, -5*x = -5*p + 40. What is c(x)? -1 Let b(t) = -t**2 + t - 1. Let f(q) = 3 + 4*q**2 + 0*q + 0*q**3 - 3*q + q**3. Let m(n) = 5*b(n) + f(n). What is m(2)? 6 Let g = 9 + -11. Let u = -1 - g. Let v be 3*u*(-4)/(-4). Let w(d) = -2*d + 2. Calculate w(v). -4 Let m(h) = -h**2 - 5*h - 3. Let b = 11 - 9. Suppose 3*q + 5 = b*q. What is m(q)? -3 Let f(q) = q**2 + 5*q - 2. Let v(z) = z - 1. Let n(g) = g - 11. Let m(u) = -n(u) + 2*v(u). Let y be m(-7). Suppose 8 + 0 = -y*t. Determine f(t). -6 Suppose -3*m - 5 = 1, 0 = 2*z + 4*m - 2. Let o(i) be the second derivative of i**4/12 - 5*i**3/6 + 3*i**2/2 - i. Calculate o(z). 3 Let b = 2 - 0. Let h(s) = -3 - 2 - s + b. Let f(j) = -j + 4. Let y be f(4). Calculate h(y). -3 Let a = -17 + 23. Let z(w) = w**2 - 7*w + 4. Determine z(a). -2 Let d(l) = l**3 + 4*l**2 + 3*l + 1. Suppose -2*u - 2 = 4*m - 4, 0 = -5*u + 5*m - 25. What is d(u)? 1 Let u(g) be the third derivative of g**4/12 + g**3/6 - g**2. Suppose c - 12 = 2*s, 0 = s - 5*c + 15 + 9. Give u(s). -7 Let y(q) be the first derivative of -q**6/360 + q**5/30 - 5*q**4/24 - q**3/3 + 3. Let l(t) be the third derivative of y(t). Calculate l(5). -10 Let m = 11 - 5. Let u(g) = 2*g + m - g - 4*g + 4*g. Determine u(-3). 3 Let i(b) = 2*b**3 + 4*b**2 - b + 1. Suppose 0 = -2*r + r - 3. Calculate i(r). -14 Let l(b) = -9*b + 1. Let a = -9 - -11. Calculate l(a). -17 Let p(i) be the second derivative of -i**4/12 - i**3 - i**2/2 - 10*i. Give p(-6). -1 Let o(x) = -10*x - 13. Let y(b) = 7*b + 9. Let v(u) = -5*o(u) - 7*y(u). Give v(-2). 0 Let m(c) = -c**2 + 1. Let j(x) = 3*x - 19. Let l be j(7). Determine m(l). -3 Let r(q) = -7*q**2 - 2*q - 1. Let v(a) = a. Let x be v(3). Suppose 6 = 3*j + x*b, 2*j + 11 = 3*j + 4*b. Calculate r(j). -6 Let y(r) = 13*r**2 + 2 - 3 - 16*r**2 - 5*r**2. Calculate y(-1). -9 Let i(g) be the first derivative of 5*g**2/2 - 2*g - 3. Calculate i(2). 8 Let p(k) = -2*k**2 + 5*k + 8. Let r(d) = -3*d**2 + 10*d + 15. Let v(j) = -5*p(j) + 3*r(j). Let w(i) = -2*i. Let a be w(2). Determine v(a). 1 Let j(y) = 2*y - 2*y**2 - y**2 + 0*y. Let g(m) = m**2 + 3*m + 2. Let f be g(-3). What is j(f)? -8 Suppose 0*w - 2*w = 12. Let m(x) = 3*x**3 - 23*x**2 - 8*x - 9. Let u(q) = q**3 - 8*q**2 - 3*q - 3. Let h(i) = w*m(i) + 17*u(i). What is h(2)? -3 Suppose 0 = z - 6*z + 5. Let y(u) = 31*u - 11*u - 14*u. Give y(z). 6 Let g(s) be the second derivative of -s**4/12 - s**3 - 2*s**2 + 4*s. Determine g(-3). 5 Let u(f) = -f - 5. Suppose -2*c = 3*b + 4, -3*b - c = -0*c + 2. Suppose 0 = -b*x + 5*x. What is u(x)? -5 Let k(m) = m - 3. Suppose v = 4*f + f, 4*v = -2*f. What is k(f)? -3 Let k(l) = -3*l**2. Let v(x) be the third derivative of x**4/24 + 5*x**3/6 - 2*x**2. Let o be v(-6). Give k(o). -3 Suppose 11*h - 15*h = 4. Let i(b) = -5*b + 0*b + 5 - 4. Determine i(h). 6 Let z(g) = 15 - 26 + g + 14. Determine z(-5). -2 Let s(w) = -w + 3. Let y be s(-3). Let q(i) = -i**2 + 5*i + 3. Calculate q(y). -3 Let a = 1 - -2. Suppose -20 = -5*i, -2*i + 10 = a*r + 2*i. Let u(c) = 2*c - 2 - c + 0*c. Give u(r). -4 Suppose -22*t = -27*t - 20. Let o(i) = -i**3 - 5*i**2 - 4*i - 6. What is o(t)? -6 Let c(v) = -6*v + 2. Let t(x) be the third derivative of 7*x**4/24 - x**3/2 + x**2. Let n(s) = 6*c(s) + 5*t(s). Suppose 5*i - 14 - 11 = 0. Give n(i). -8 Suppose -5*p - 33 = 4*t, -t + 3 = -p - 0. Let s(a) = -4 + 3*a - 3*a + 3*a - 5*a. Let r(n) = 3*n + 5. Let w(u) = -3*r(u) - 4*s(u). Determine w(p). 6 Suppose -3*o + 5*v = -17, o + 2*v - 2 + 0 = 0. Let h(d) = d - 6. Calculate h(o). -2 Suppose -4*i + 20 = -4*f + f, -3*f = 2*i - 10. Suppose f*x + x - 2 = 0. Let u(g) = -g**3 - 2*g**2 + 2*g + 2. What is u(x)? -10 Let p(h) = 2*h + 5. Let z(k) = 4*k + 9. Let f(i) = 7*p(i) - 4*z(i). What is f(4)? -9 Let t(r) = -4*r - r + 1 + 0 - 2*r - r**2. What is t(-6)? 7 Let g(s) be the second derivative of -s**3/6 - s**2/2 + 2*s. Suppose 0 = -2*c - 8. Calculate g(c). 3 Let x be (1 + -1)/((-2)/2). Let r(k) = k + x - 5 + 3 - 2*k. Give r(-1). -1 Let x(u) = -u**2 - 8*u - 6. Let o be x(-6). Let i(b) = -b**3 + 6*b**2 + 2*b - 6. Determine i(o). 6 Let t(d) = -6*d**3 - 30*d**2 + 15. Let g(y) = -y**3 - 6*y**2 + 3. Let r(z) = 11*g(z) - 2*t(z). Give r(6). 3 Let r(o) = -5*o - 4. Let l(n) = -4*n - 5. Let z(s) = -4*l(s) + 3*r(s). Let t(a) = -a**2 - 7*a + 3. Let x be t(-7). Suppose 0 = -v + x - 9. Calculate z(v). 2 Let u(o) be the second derivative of 7*o**5/20 + o**4/6 - o**3/3 + o**2/2 - 6*o. What is u(1)? 8 Let p(k) be the second derivative of -k**6/20 - k**5/60 + k**4/24 + k**3/6 + 2*k**2 + 2*k. Let x(z) be the first derivative of p(z). Give x(-1). 5 Suppose -4*n - 12 = -4*z, -3*n + 7*n + 44 = -4*z. Let x = -2 - n. Let f(m) = m**2 - 3*m - 1. Give f(x). 9 Let h(o) = -3*o + 2. Let u(b) = -b**2 + 5*b - 2. Let s be u(4). Determine h(s). -4 Let p be (0 - -2) + 6 + -1. Let s(n) = -n**3 + 6*n**2 + 6*n + 2. Determine s(p). -5 Let a(r) be the third derivative of r**5/60 - r**4/24 + 7*r**3/2 - r**2 - 26. What is a(0)? 21 Let z(x) = -3 - 2*x - 3 + 3. Let k = -1 + 5. Let o = 0 - k. Give z(o). 5 Let r(l) = l**2 - 2. Suppose 3*x + 10 = 8*x. Suppose 0 = -3*h + 4*h - x. Suppose -w + 1 = 2*o - 3, -w = -h*o. Calcula
{ "pile_set_name": "DM Mathematics" }
times 0.13? 0.26 -8554*2 -17108 Multiply 33 and 4. 132 Multiply 4 and 42. 168 What is the product of -3.01 and 1? -3.01 What is the product of -0.0111 and -0.02? 0.000222 Calculate -0.067*-0.1. 0.0067 Work out 0.1 * -0.0655. -0.00655 What is -5.04 times -0.7? 3.528 7 * 12.8 89.6 Multiply -0.45 and -4. 1.8 Calculate -0.218*0.2. -0.0436 What is the product of -436.3 and -0.4? 174.52 What is the product of -6.44 and 4? -25.76 -25 times -159 3975 -0.12 * 0.01 -0.0012 Calculate -0.05*-19. 0.95 What is the product of -132.9 and -17? 2259.3 -2069*-3 6207 -29 times -32 928 -6 times 3.3 -19.8 Calculate 11*-202. -2222 -5 * -0.566 2.83 What is 24 times 5? 120 Work out -0.102 * 23. -2.346 Work out 4 * 11.4. 45.6 What is -3 times -330? 990 Multiply 0 and -94. 0 Multiply -602.7 and -3. 1808.1 Calculate -102*1. -102 What is 0.5 times -20? -10 Product of -0.71 and -42. 29.82 0.4*325 130 Multiply 1 and -0.2. -0.2 Product of -0.1 and 43.46. -4.346 Product of -3588 and 3. -10764 3 times 0.9 2.7 168 * -1.04 -174.72 Calculate -139*0.2. -27.8 What is -108 times -0.5? 54 Product of 1 and 7.55. 7.55 Product of -909 and 1. -909 Calculate 0.11*-3. -0.33 -0.008 * -0.4 0.0032 -0.4*-374 149.6 What is -12 times -0.26? 3.12 What is the product of 0.02465 and 0.2? 0.00493 Multiply 0.3 and -9.8. -2.94 What is the product of -1 and 0.016? -0.016 Multiply 0.2 and -3. -0.6 Calculate 0.185*0.1. 0.0185 Multiply 0.2 and 3.5. 0.7 Work out -2 * -0.53. 1.06 -0.24*-20 4.8 Product of -33 and 45. -1485 What is -77 times 17? -1309 Multiply -0.11 and 2. -0.22 Work out 0.3 * -18. -5.4 Multiply 0.99 and -0.5. -0.495 What is 8 times 1387? 11096 Calculate 3158*5. 15790 Product of -760 and 29. -22040 82*-59 -4838 Work out -1.54 * -1.04. 1.6016 -0.22*-24 5.28 Product of -0.4 and -0.3. 0.12 Calculate -0.8*-2514. 2011.2 -0.2821 * -4 1.1284 -0.2*1.071 -0.2142 Calculate 8*0.01. 0.08 Product of -2 and -131. 262 2 * -48 -96 26 times -21 -546 4 times 0.12 0.48 Product of 1.01 and 1. 1.01 2 * -2.32 -4.64 Multiply -0.1 and 0.228. -0.0228 Product of 5.7 and -0.09. -0.513 What is -4 times 0.053? -0.212 Calculate -27150*-0.2. 5430 296 times 0.1 29.6 Work out -3 * 3.3. -9.9 1 times 2.225 2.225 -0.5 times -21.4 10.7 92*132 12144 Product of 34 and -0.3. -10.2 Product of -196 and 2. -392 What is the product of -3 and 0.0015? -0.0045 0.6 * 4 2.4 Product of -0.2 and -45. 9 278 * -10 -2780 -3422*-0.4 1368.8 Work out -0.1 * -6.4. 0.64 -15 * -21 315 Multiply -1.95 and 2. -3.9 Calculate 414*0.3. 124.2 What is -2 times -0.074? 0.148 0.17*25 4.25 What is the product of 11793 and 2? 23586 0.1*9.1 0.91 Multiply 0.5 and 700. 350 0.42 * -0.4 -0.168 Calculate -8*-84. 672 1.11 times -0.2 -0.222 Work out 2.9 * -28. -81.2 Product of -3.3 and 7. -23.1 0.063 times -2 -0.126 What is the product of 5 and 0.229? 1.145 What is the product of 4.2 and 0.07? 0.294 Product of 3.5 and 16.6. 58.1 Calculate 0.2*281. 56.2 684*-0.1 -68.4 -0.1*-831 83.1 What is the product of 0.2 and 341? 68.2 Product of 0.1 and 0.799. 0.0799 -1 * 8.24 -8.24 7*-6.24 -43.68 0.111*15 1.665 Calculate 1094*-4. -4376 Calculate 2*3.83. 7.66 Work out -1 * -4. 4 Calculate 2*741. 1482 0.3*2.4 0.72 Multiply 1 and -4.84. -4.84 -0.508*4 -2.032 Calculate -0.5*24.1. -12.05 -0.4*-0.2354 0.09416 What is 11.2 times 0.14? 1.568 -2.73*-3 8.19 Multiply 0.02 and 1.77. 0.0354 What is the product of 3.23 and 33? 106.59 What is the product of 12.8 and 8? 102.4 What is the product of 0.329 and -4? -1.316 -0.16 * -1 0.16 Work out 274 * 5. 1370 -2 * 1.06 -2.12 37 times 2 74 Calculate 0.03*-0.1. -0.003 What is -0.2 times 0.1988? -0.03976 Product of -11 and -0.0491. 0.5401 Product of -14 and -10.8. 151.2 2227 * 0.1 222.7 5*-1150 -5750 Work out -3.63 * -21. 76.23 -205 times 10 -2050 19772*-2 -39544 Calculate 0.3*20.04. 6.012 What is -4093 times -2? 8186 Work out 0.4 * 0.126. 0.0504 Calculate -6148*0.5. -3074 -0.012 times -10 0.12 -0.4 times -178 71.2 Work out 0.04 * 1. 0.04 Calculate 0.228*-0.4. -0.0912 4098 times -0.2 -819.6 Product of -7 and 4. -28 What is 0.2 times -0.1519? -0.03038 Multiply -0.08 and -2.3. 0.184 Product of 0.5 and -1235. -617.5 What is the product of 0.15 and -0.611? -0.09165 What is the product of 0.4 and -0.004? -0.0016 Calculate -4*-13.7. 54.8 0.2*-6.545 -1.309 What is 1.65 times 4? 6.6 0.4331 times 5 2.1655 -2 times -851 1702 Multiply 0.05 and -0.068. -0.0034 Work out -10667 * -0.3. 3200.1 -4 * 507 -2028 Calculate 3213*5. 16065 What is the product of 216 and 0.32? 69.12 -4.516*5 -22.58 Multiply -0.55 and -1. 0.55 Work out 368 * 3. 1104 -845*35 -29575 Product of -2 and 211. -422 What is the product of -87 and -1.89? 164.43 -0.2 times -221.9 44.38 What is the product of 543 and 0.4? 217.2 Multiply -0.07 and -1916. 134.12 2 * 0.44 0.88 85*-0.05 -4.25 Product of -3 and -0.999. 2.997 -0.139 * 22 -3.058 What is the product of 0.0826 and 1? 0.0826 Multiply 2.3 and -12. -27.6 49.5*0.2 9.9 19 * 15 285 Product of -51 and 6. -306 213*3 639 Work out -8 * 2127. -17016 0.4 times 22 8.8 Multiply -2 and -0.269. 0.538 -5*-70 350 Calculate -530*0.3. -159 -2.4 * 4 -9.6 Multiply -47.7 and -0.5. 23.85 3*1.27 3.81 -45.3 times -1.6 72.48 Multiply -0.4 and 31.8. -12.72 Work out 3 * -14. -42 What is the product of -1 and 263? -263 -86*2 -172 -13 times 1.08 -14.04 What is -2 times 48.64? -97.28 Product of 0.04 and -4.4. -0.176 Product of -11.8 and -3. 35.4 Product of 1.31 and 1.7. 2.227 Multiply 0 and -5. 0 What is the product of -103.7 and -1? 103.7 0.114 times 1.12 0.12768 Product of -0.3 and -7690. 2307 What is the product of -0.1 and 0.025? -0.0025 Work out 53.5 * -0.1. -5.35 Work out 0.5 * 1380. 690 Product of 0.01932 and -0.1. -0.001932 Calculate -0.4*48. -19.2 What is 0.1 times 119? 11.9 5668*-0.5 -2834 Calculate -4.9*0.25. -1.225 -7*1.5 -10.5 Calculate 0.04*0.0702. 0.002808 -10.83*0.7 -7.581 What is 1558 times 3? 4674 -1.54*0.1 -0.154 Multiply -0.0151 and -6. 0.0906 What is the product of -30063 and -0.1? 3006.3 -4*54 -216 Work out 12 * -5.98. -71.76 Calculate 0.0482*3. 0.1446 -8.236 times -1 8.236 Calculate -3*-193. 579 -20 times -1 20 What is 0.8 times -422? -337.6 What is the product of -7 and -68? 476 What is the product of -387 and 17? -6579 Multiply 0.5 and 0.08. 0.04 Multiply 5 and 0.0076. 0.038 What is -11.4 times 0? 0 Multiply -0.012 and 5. -0.06 -0.15*149 -22.35 Multiply -0.2 and -5.449. 1.0898 -0.4 times 133.5 -53.4 Product of -24 and -0.17. 4.08 What is 0.3 times -278? -83.4 -4*-0.204 0.816 Calculate -19*0.14. -2.66 -2 * 135.5 -271 Multiply -0.3 and -3257. 977.1 Calculate 6.8*-1.72. -11.696 Work out -5.1 * 0.08. -0.408 Product of 3.4 and -3. -10.2 Product of -0.5 and 0.027. -0.0135 Work out 5 * 49. 245 Multiply 12 and -0.323. -3.876 Work out -124 * -4. 496 0.5*20.5 10.25 What is -0.2 times 0.52? -0.104 Multiply -92 and -5. 460 Work out 0.03 * -0.3. -0.009 4 times -303 -1212 2 times 0.006 0.012 Work out -0.75 * 4. -3 Product of 0.8 and 220. 176 What is the product of -0.5 and -0.01777? 0.008885 -9.45*-4 37.8 0.9 times 0.04 0.036 Calculate 188*-1. -188 -194*0.1 -19.4 Calculate -2*17. -34 Work out -0.1 * 777. -77.7 What is the product of 1002 and 0.09? 90.18 Work out 5 * 7.86. 39.3 0.003*6 0.018 What is -3 times 0.044? -0.132 Work out 0.3 * -922. -276.6 What is the product of 0.035 and 0.2? 0.007 What is the product of 1.3516 and 4? 5.4064 Multiply -75 and -0.3. 22.5 What is -326.4 times -1? 326.4 Product of -5 and -1.001. 5.005 Calculate -0.3*-18. 5.4 Calculate -13*-184. 2392 What is -62 times -0.4? 24.8 Calculate 431*-9. -3879 Work out 0.6 * 4.18. 2.508 Product of 0.4 and 1344. 537.6 Product of 0.06 and -128. -7.68 Calculate 3*50.6. 151.8 What is the product of 1.944 and 0.5? 0.972 Product of 4 and 119. 476 Multiply -52.8 and -4. 211.2 What is -3.1 times -14? 43.4 Calculate -748*3. -2244 What is -364 times -2? 728 What is 2.251 times 4? 9.004 -3.38 times -14 47.32 0.04 * -329 -13.16 Multiply -1 and -0.473. 0.473 Product of -0.071929 and -5. 0.359645 Work out -0.313 * 0.4. -0.1252 Work out -0.3 * -16.28. 4.884 What is the product of 0.1 and 118? 11.8 Multiply -0.4 and -0.004. 0.0016 Multiply -4 and 60. -240 Multiply -0.03 and 2.7. -0.081 What is the product of 0.18 and -14.6? -2.628 Work out 47 * -0.2. -9.4 Product of 0.2 and -2404. -480.8 What is the product of -27
{ "pile_set_name": "DM Mathematics" }
3/13*d**3 + 7/390*d**5 + 0*d + 1/780*d**6. Solve m(z) = 0 for z. -3, -1 Let y(q) be the first derivative of -3*q**5/35 + 3*q**4/4 - 15*q**3/7 + 27*q**2/14 + 609. Factor y(x). -3*x*(x - 3)**2*(x - 1)/7 Solve 16 + 2*m**3 + 16 + 6*m**3 + 28*m**2 - 4*m**3 + 56*m = 0. -4, -2, -1 Let r be 6 - (-13 - -9)*1/(-2). Suppose -r*p - 2*j - 3 + 9 = 0, 5*p + j = 15. Suppose 0*c + 0 - 10/3*c**5 - 2/3*c**3 + 4/3*c**2 - 16/3*c**p = 0. What is c? -1, 0, 2/5 Let f(d) = -10*d**2 - 830*d + 41623. Let w(h) = -14*h**2 - 1244*h + 62434. Let b(q) = 10*f(q) - 7*w(q). Find z such that b(z) = 0. 102 Let u(k) be the first derivative of -k**6/180 + k**5/60 - k**3/18 + k**2/12 - 46*k + 29. Let z(c) be the first derivative of u(c). Factor z(i). -(i - 1)**3*(i + 1)/6 Let c(r) = 18*r**2 + 391*r + 206. Let m(k) = -8*k**2 - 196*k - 102. Let u(i) = -4*c(i) - 10*m(i). Factor u(g). 4*(g + 49)*(2*g + 1) Factor -76/5*c**2 - 12/5 - 18/5*c**3 - 14*c. -2*(c + 1)*(c + 3)*(9*c + 2)/5 Let a(c) = c**3 + 553*c**2 + 100459*c + 6128487. Let g(q) = -3*q**3 - 1658*q**2 - 301379*q - 18385461. Let r(s) = -11*a(s) - 4*g(s). Factor r(w). (w + 183)**3 Solve 44*f + 36481 + 3788*f**2 - 3787*f**2 - 426*f = 0 for f. 191 Let l be (-2)/((10/9)/(-5)). Suppose 3*d - 2*s - s = -9, 2*d - l = -s. Determine x, given that -7*x**4 + 11*x + d*x**3 - 3*x + 14*x**3 + 20*x**2 + 11*x**4 = 0. -2, -1, 0 Suppose 0 = -2*q + 3*q - 5*d + 16, 5*q + 2*d = 28. Let k = q - 0. Determine w, given that w - 3*w + 2*w**k - 10*w**3 - 2*w**2 + 12*w**3 = 0. -1, 0, 1 Determine z, given that 16/7*z**2 + 0 + 2/7*z**4 - 8/7*z - 10/7*z**3 = 0. 0, 1, 2 Let m = 1066 - 51163/48. Let t(g) be the third derivative of -m*g**4 + 1/6*g**3 - 15*g**2 - 3/80*g**6 + 0 - 2/15*g**5 + 0*g. Let t(h) = 0. What is h? -1, 2/9 Let h(b) be the third derivative of b**6/15 + 2*b**5/9 + 25*b**4/108 + 628*b**2. Factor h(c). 2*c*(6*c + 5)**2/9 Let q(k) be the first derivative of 10*k + 5/2*k**2 - 3 - 10/3*k**3 - 5/4*k**4. Factor q(a). -5*(a - 1)*(a + 1)*(a + 2) Let w(v) be the second derivative of 0 + 8/3*v**4 - 8/3*v**3 + 2/21*v**7 - 3/5*v**5 + 0*v**2 + 20*v - 4/15*v**6. Factor w(j). 4*j*(j - 2)*(j - 1)**2*(j + 2) Let a = -467/300 - 2/75. Let x = 9/4 + a. Solve 0 + 0*h - x*h**2 = 0. 0 Suppose 5*w = -8*g + 5*g + 1, -12 = -5*g + 2*w. Suppose 0 = 11*r - 31 - g. Factor -2/3 + 2/3*f**2 + f - f**r. -(f - 1)*(f + 1)*(3*f - 2)/3 Let u(m) be the first derivative of m**4/12 - 2*m**3/9 - 5*m**2/6 + 2*m - 152. Factor u(n). (n - 3)*(n - 1)*(n + 2)/3 Let f be 2 - (-9 - (6 - 12)). Let h(l) be the first derivative of -8/7*l**4 - 1 + 2/7*l + 2/7*l**f - 8/7*l**2 + 12/7*l**3. What is b in h(b) = 0? 1/5, 1 Let y(t) = -7 + 5*t**2 + 2 + 25*t + 1 + 10. Let h(p) = -3*p**2 - 17*p - 4. Let v(x) = 7*h(x) + 5*y(x). Suppose v(i) = 0. What is i? -1, -1/2 Suppose -g + 2*s = -3*g + 8, 2*g + 4*s - 16 = 0. Let -3/2*p**2 + 3/4*p**3 + 14*p**4 - 1/4*p + 12*p**5 + g = 0. Calculate p. -1, -1/4, 0, 1/3 Let t(c) be the third derivative of 13*c**7/42 + 15*c**6/8 + 19*c**5/4 + 155*c**4/24 + 5*c**3 - 29*c**2. Factor t(d). 5*(d + 1)**3*(13*d + 6) Let c(j) = 3*j**2 - 291*j - 9527. Let l(a) = -a**2 + 3*a + 1. Let n(q) = -2*c(q) - 10*l(q). Factor n(y). 4*(y + 69)**2 Let i(u) be the third derivative of -u**6/420 + 8*u**5/105 + u**4/84 - 16*u**3/21 - 65*u**2. Factor i(s). -2*(s - 16)*(s - 1)*(s + 1)/7 Let u = -6274 - -81578/13. Suppose 12/13*o**4 - u*o**3 - 2/13*o**5 - 32/13*o**2 - 64/13 + 96/13*o = 0. What is o? -2, 2 Let -134*k**3 + 16*k**2 - 16 - 150*k**3 + 12*k**4 + 64*k**5 - 3*k**4 + 23*k**4 + 112*k - 140*k**2 = 0. What is k? -2, -1, 1/4, 2 Let x(u) be the first derivative of -u**4/22 - 2*u**3/11 + 18*u**2/11 - 49. Let x(o) = 0. Calculate o. -6, 0, 3 Determine b, given that 148*b - 7*b**5 - 16 + 410*b**4 - 732*b**4 + 56*b**5 - 472*b**2 + 613*b**3 = 0. 2/7, 1, 4 Let i(f) be the first derivative of f**5/2 - 15*f**4/8 - 10*f**3/3 + 35. Factor i(y). 5*y**2*(y - 4)*(y + 1)/2 Let c(n) be the first derivative of 4/9*n**2 + 0*n + 14 + 4/27*n**3. Solve c(j) = 0. -2, 0 Let q(c) be the third derivative of -35*c**8/48 - 17*c**7 - 1621*c**6/24 - 112*c**5 - 545*c**4/6 - 40*c**3 - 101*c**2. Suppose q(f) = 0. Calculate f. -12, -1, -2/7 Let s(f) be the third derivative of -f**7/1680 + f**6/360 + f**5/60 - f**4/6 - 3*f**3 + 20*f**2. Let u(h) be the first derivative of s(h). Factor u(x). -(x - 2)**2*(x + 2)/2 Suppose 0 = 6*b - 3*b - 18. Let g(a) = a**2 - 17*a - 98. Let t be g(22). Find f such that 32 + 15*f + 10*f - 34*f**4 - b*f**5 + t*f - 56*f**3 + 27*f = 0. -2, -2/3, 1 Let h = -17771 - -17775. Determine t, given that -h*t - 2/3*t**2 - 16/3 = 0. -4, -2 Factor -2/5*q**3 - 2736/5*q + 2888/5 - 30*q**2. -2*(q - 1)*(q + 38)**2/5 Factor 55 - 67 - 46*z - 20*z**2 - 48*z**2 - 15*z**5 - 16*z**4 + 13*z**5 - 48*z**3. -2*(z + 1)**3*(z + 2)*(z + 3) Let j(o) be the first derivative of -o**6/18 - 31*o**5/15 + 25*o**4/3 - 68*o**3/9 + 378. Determine b, given that j(b) = 0. -34, 0, 1, 2 Let h(o) be the second derivative of 1/6*o**3 + 20*o + 0 - 1/16*o**4 + 1/2*o**2. Suppose h(t) = 0. Calculate t. -2/3, 2 Let c(d) = 53*d**2 + 5*d + 9. Let t be c(-2). What is h in 0*h**3 + h**2 - 211 + t - h**3 = 0? 0, 1 Let l(d) be the third derivative of -d**6/20 + 11*d**5/15 - 7*d**4/12 - 126*d**2. Find s, given that l(s) = 0. 0, 1/3, 7 Let m(z) = -15*z**2 + 11*z - 2. Let k(v) = 4*v**2 - 2*v + 1. Let j(q) = -12*k(q) - 3*m(q). Factor j(t). -3*(t + 1)*(t + 2) Let n = 121837/6 - 20306. Factor 1/6*g**5 - n*g**2 + 0 + 1/6*g**4 - 1/6*g**3 + 0*g. g**2*(g - 1)*(g + 1)**2/6 Let y(t) be the first derivative of -t**5/20 - 27*t**4/16 - 14*t**3 + 49*t**2/2 + 43. Find x, given that y(x) = 0. -14, 0, 1 Let 40/13 - 16/13*l - 6/13*l**3 - 62/13*l**2 = 0. What is l? -10, -1, 2/3 Let p(z) be the first derivative of z**5/40 - z**4/16 - z**2/2 - 4. Let s(n) be the second derivative of p(n). Solve s(u) = 0. 0, 1 Suppose 43 = -15*k - 2. Let c be (-1 + 4 + -1)/((-4)/k). Suppose c*w - 1 + 0*w**2 - 1/2*w**3 = 0. What is w? -2, 1 Let g(d) be the second derivative of d**5/210 - d**4/42 - 4*d**3/63 - 341*d. Factor g(v). 2*v*(v - 4)*(v + 1)/21 Let j(x) be the third derivative of -4/15*x**5 + 1/42*x**8 + 0*x**4 + 0*x**3 + 0*x + 0 + 6/35*x**7 - 35*x**2 + 1/10*x**6. Suppose j(p) = 0. Calculate p. -4, -1, 0, 1/2 Let f = -1205/2 + 604. Let a(o) be the second derivative of 0 - 7*o - 1/2*o**4 - f*o**2 - 3/2*o**3. Factor a(h). -3*(h + 1)*(2*h + 1) Suppose -2*o = -o - 256. Suppose 0 = -3*k - k + o. Suppose -k*z**3 + 177*z**4 - 61*z**4 + 38*z**4 + z**2 - 98*z**5 + 7*z**2 = 0. What is z? 0, 2/7, 1 Suppose -6 - 40 = -2*m. Let f = -19 + m. Factor 4 - 46*t - 2*t**3 + 44*t + 3*t**3 + t**3 - f*t**2. 2*(t - 2)*(t - 1)*(t + 1) Let s(w) be the third derivative of w**8/336 + w**7/105 - w**5/30 - w**4/24 - 27*w**2 - w. Solve s(d) = 0 for d. -1, 0, 1 Let n = 624 - 312. Let q be n/182 - 3/(21/(-2)). Solve 1/6*d**5 - 4/3 - 10/3*d + 1/6*d**3 - 7/3*d**q + 2/3*d**4 = 0. -2, -1, 2 Let k = -47129/30 - -1571. Let l(m) be the second derivative of 0*m**2 + k*m**5 + 0 - 1/45*m**6 + 0*m**3 - 1/54*m**4 + 1/189*m**7 - 11*m. Factor l(x). 2*x**2*(x - 1)**3/9 Let j(x) be the third derivative of x**6/480 + 208*x**2. Factor j(l). l**3/4 Let g be 94073/(-105) + (-2)/5. Let p = 905 + g. Let -p*a**2 - 4*a**3 - 8/3 - 8*a - 2/3*a**4 = 0. What is a? -2, -1 Let q(y) be the first derivative of -y**7/2100 - 7*y**6/900 - 7*y**5/150 - 2*y**4/15 + 19*y**3/3 + 23. Let f(g) be the third derivative of q(g). Factor f(z). -2*(z + 1)*(z + 2)*(z + 4)/5 Let i(o) be the third derivative of o**5/20 + 9*o**4/8 + 7*o**3 + 136*o**2. Factor i(b). 3*(b + 2)*(b + 7) Let w(z) be the second derivative of -2*z**4/3 - z**3/3 + z**2 - 48*z. Let b be w(0). Determine q, given that 0*q + 3/4*q**4 + 0 - q**b + q**3 = 0. -2, 0, 2/3 Factor 2/11*n**2 + 2/11 + 4/11*n. 2*(n + 1)**2/11 Let x(j) be the first derivative of 3*j**5/5 + 81*j**4/4 + 72*j**3 - 6*j**2 - 288*j + 655. Determine w, given that x(w) = 0. -24, -2, 1 Let x(p) = 2*p**2 - 10*p - 1. Let h(d) = -d**2 + 5*d + 1. Let f(m) = 5*h(m) + 2*x(m). Let z be f(5). Solve 3*w**2 + 3*w - z*w**3 - 3*w**4 - 5 + 5 = 0. -1, 0, 1 Suppose -268 = -5*p + 3*d, -2*p = -d - 0*d - 108. Let m be ((-4)/(-14))/(8/p). Let -16 - 4*o**3 + 8 + 8*o**2 + 2*o + 0*o + m*o = 0. Calculate o. -1, 1, 2 Let a(h) be the first derivative of -4/3*h**
{ "pile_set_name": "DM Mathematics" }
rt(108) + sqrt(108)*1)))/sqrt(9)))**2. 425/4 Simplify (((sqrt(119) + sqrt(119) + sqrt(119)*1)*-1)/(sqrt(7) + -6*sqrt(175)))**2. 153/841 Simplify (sqrt(119)/(sqrt(14)/sqrt(2)*-3)*-5)**2*5. 2125/9 Simplify (sqrt(475) + -1)**2 + 0. -10*sqrt(19) + 476 Simplify (3*sqrt(14)/(-2*sqrt(2))*-1*-3)**2. 567/4 Simplify ((2*sqrt(147))/sqrt(7))/((sqrt(140) + sqrt(35))/sqrt(5)). 2*sqrt(3)/3 Simplify (-1 + sqrt(304) - sqrt(304)) + 3 - (sqrt(304) + (-2*(-1 + sqrt(304)) + sqrt(304))**2 - sqrt(304)). -306 + 16*sqrt(19) Simplify -2*((sqrt(12) + sqrt(144)/(sqrt(12) + sqrt(12)*2))/sqrt(4))**2. -32/3 Simplify sqrt(204)/(-1*sqrt(12)*-1)*-2. -2*sqrt(17) Simplify sqrt(7)*1*2 - sqrt(63)/(sqrt(9)*1). sqrt(7) Simplify 3*(sqrt(6048)*2 - sqrt(6048) - sqrt(6048))/sqrt(6). 0 Simplify sqrt(13) + (sqrt(13)*2 - sqrt(13)) + 3 - ((3*sqrt(117) + sqrt(117))/sqrt(9))**2. -205 + 2*sqrt(13) Simplify 6*sqrt(392). 84*sqrt(2) Simplify 4*((sqrt(50)/sqrt(2))/sqrt(5))**2. 20 Simplify (-1*sqrt(5100))/sqrt(3). -10*sqrt(17) Simplify (sqrt(180)/(sqrt(12) - 2*sqrt(12) - sqrt(12)))/(sqrt(3) + sqrt(12)/(sqrt(8)/sqrt(2))). -sqrt(5)/4 Simplify sqrt(396) + 5 + sqrt(880)/sqrt(5). 5 + 10*sqrt(11) Simplify -1 + -3*(sqrt(2448) + 1)**2. -7348 - 72*sqrt(17) Simplify -5 + (sqrt(11)*1*-4 - -3*sqrt(44)). -5 + 2*sqrt(11) Simplify -4 + 5 + -1*sqrt(272). -4*sqrt(17) + 1 Simplify (sqrt(468)*-1 - (0 + sqrt(13))*3)**2. 1053 Simplify 4 + 1 + 1*(2*sqrt(10))/sqrt(5). 2*sqrt(2) + 5 Simplify sqrt(55)/(sqrt(704)*2) + 5. sqrt(5)/16 + 5 Simplify 5 + (sqrt(1008) - (3*(sqrt(1008) - (0 + sqrt(1008)) - sqrt(1008) - sqrt(1008)))**2) + sqrt(1008) + sqrt(1008). -36283 + 36*sqrt(7) Simplify sqrt(36)/((sqrt(24)*3)/sqrt(2)). sqrt(3)/3 Simplify sqrt(28) - (sqrt(168)/sqrt(6))**2 - ((sqrt(35)*-4)/sqrt(5))**2. -140 + 2*sqrt(7) Simplify (sqrt(385)/(sqrt(7)*-1 - sqrt(7) - sqrt(7)))/(sqrt(50)/(sqrt(10) + 1*sqrt(10))). -2*sqrt(11)/3 Simplify (sqrt(7)*-2*-3)**2 + sqrt(343) + -1. 7*sqrt(7) + 251 Simplify 4*(sqrt(225) - (sqrt(225)*-1 + sqrt(225)))/sqrt(5). 12*sqrt(5) Simplify (sqrt(102) + 5*sqrt(102)*-2)/sqrt(6). -9*sqrt(17) Simplify (5 + sqrt(220)/sqrt(5))**2 + sqrt(484)/(-4*sqrt(11)). 39*sqrt(11)/2 + 69 Simplify ((sqrt(500) - (0 + sqrt(500)) - (-4 + sqrt(5) + 1))*-5*4)**2. -2400*sqrt(5) + 5600 Simplify (1 + sqrt(343) + sqrt(343))*-1 + (sqrt(343) + -1)**2 + 4. -28*sqrt(7) + 347 Simplify -2 + (sqrt(1216) + -2)**2 + (sqrt(190) + (sqrt(190) - 2*sqrt(190)))/sqrt(10). -32*sqrt(19) + 1218 Simplify (sqrt(88)*-1*1)/(-6*sqrt(16)/sqrt(2)). sqrt(11)/6 Simplify (sqrt(13) + (sqrt(208) + -2 + sqrt(208) - sqrt(208)) + sqrt(13) + 4 + sqrt(13) + 0)**2. 28*sqrt(13) + 641 Simplify sqrt(5) + sqrt(35)/sqrt(7) + -3 + sqrt(405)*1. -3 + 11*sqrt(5) Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) + -2*sqrt(99)*-6))) - sqrt(99)))/(sqrt(99)/sqrt(44) + sqrt(9)). -8*sqrt(11) Simplify (sqrt(475) + 1 - sqrt(19))**2 + -1. 8*sqrt(19) + 304 Simplify -1*(sqrt(5) + 1 + sqrt(5))*4 - (sqrt(320) - (4 + (sqrt(320) + 1 + sqrt(320) - sqrt(320))))**2. -29 - 8*sqrt(5) Simplify (1*sqrt(1088) - sqrt(170)/(sqrt(50)/sqrt(5))) + 4. 4 + 7*sqrt(17) Simplify ((sqrt(70) + 2*sqrt(70) - sqrt(70))*5)/(sqrt(160)/sqrt(4)). 5*sqrt(7) Simplify sqrt(5) + (sqrt(80) - (sqrt(80) + 0))**2 - (sqrt(180) - sqrt(180)*2). 7*sqrt(5) Simplify (6*(((sqrt(136)*1 - sqrt(136)) + sqrt(136) - sqrt(136)) + sqrt(136)))/(-2*sqrt(648)). -sqrt(17)/3 Simplify ((sqrt(84) - (-1*sqrt(84) + sqrt(84)))*4 - sqrt(84) - sqrt(84))/sqrt(12). 2*sqrt(7) Simplify 3*(sqrt(567)*-5*5)**2. 1063125 Simplify ((sqrt(11) + 4)*1 - (sqrt(297)/sqrt(9))/sqrt(3))**2. 16 Simplify -1 + sqrt(567) + -3 + (1 + sqrt(567) + -1 + sqrt(567) - sqrt(567)) + 4. 18*sqrt(7) Simplify (5*sqrt(833))**2*-1. -20825 Simplify sqrt(3) + sqrt(243) + -2 + 2*sqrt(3) + -1. -3 + 12*sqrt(3) Simplify (sqrt(1872) - ((sqrt(1872)*4)**2 + sqrt(1872))) + sqrt(1872) + sqrt(52)*-6. -29952 Simplify (sqrt(2) - sqrt(22)/(2*sqrt(11) - sqrt(11))) + sqrt(2) + -4. -4 + sqrt(2) Simplify (4*(-2 + (sqrt(3) - -1*(sqrt(27) - sqrt(3))) + -4))**2. -576*sqrt(3) + 1008 Simplify 2*(-6*(sqrt(612) + sqrt(612) + 2 + 2))**2. 6912*sqrt(17) + 177408 Simplify 2*(sqrt(153) + 0)**2. 306 Simplify sqrt(44)*-1 - (sqrt(99)*-1)**2. -99 - 2*sqrt(11) Simplify ((sqrt(275) + 0)*-4)**2 + sqrt(275). 5*sqrt(11) + 4400 Simplify (sqrt(17) + 2)*2 + 2. 6 + 2*sqrt(17) Simplify (5 + -4 + sqrt(2))**2 + sqrt(2) + sqrt(22)/(5*sqrt(11)). 3 + 16*sqrt(2)/5 Simplify ((sqrt(11) - 1*sqrt(11)*1) + -3)*1. -3 Simplify sqrt(21)/(sqrt(3) + sqrt(3)*6*1). sqrt(7)/7 Simplify (sqrt(110)/sqrt(99))/(4*sqrt(15)/sqrt(3) - sqrt(5)). sqrt(2)/9 Simplify (sqrt(5) + 1 + -1)**2 - ((sqrt(100)/sqrt(4))/sqrt(5))**2. 0 Simplify ((-2*sqrt(121) - sqrt(121))/sqrt(11)*-6)**2*3. 10692 Simplify sqrt(125) + (sqrt(125) - (sqrt(125) + 3 + 1 + sqrt(125) + sqrt(125)))**2 + sqrt(125). 90*sqrt(5) + 516 Simplify 3 + sqrt(6)/sqrt(3) + -5. -2 + sqrt(2) Simplify ((sqrt(152)*1*6)/(sqrt(24)/sqrt(3)*-2))**2. 171 Simplify 2 + -1 + -2*sqrt(405). -18*sqrt(5) + 1 Simplify (sqrt(85)/sqrt(5)*1 - (1*sqrt(1377) + sqrt(1377)))*5. -85*sqrt(17) Simplify ((1 + sqrt(405))*-6)**2. 648*sqrt(5) + 14616 Simplify sqrt(176)*-4. -16*sqrt(11) Simplify ((sqrt(208) - sqrt(208)*1)*6)**2. 0 Simplify 4*(sqrt(117))**2 + (sqrt(117) - (-2 + sqrt(117)))**2 + sqrt(13). sqrt(13) + 472 Simplify (0 + -1 + sqrt(99) + 5)**2. 24*sqrt(11) + 115 Simplify sqrt(22)/(1*sqrt(891)). sqrt(2)/9 Simplify ((sqrt(3) + (sqrt(3) - -5*(sqrt(3) + -1)))**2 + sqrt(3))*-5 + 5. -855 + 345*sqrt(3) Simplify (sqrt(60)/sqrt(1200))**2. 1/20 Simplify -3 + sqrt(275) + sqrt(275) + 0. -3 + 10*sqrt(11) Simplify 0 + (6*sqrt(170)*-1)/(-1*sqrt(90)). 2*sqrt(17) Simplify ((sqrt(65) + -1*sqrt(65))*3)/(sqrt(5) - sqrt(35)/sqrt(63)). 0 Simplify (sqrt(14)/(-5*4*sqrt(2)))**2. 7/400 Simplify (5*sqrt(1872)*1)**2. 46800 Simplify -1*sqrt(208) + sqrt(13) - 6*(2 + sqrt(13) + sqrt(13)). -15*sqrt(13) - 12 Simplify (-4 + (2*(2*sqrt(13) + -2))**2)*-2. -440 + 64*sqrt(13) Simplify (-2*sqrt(1573))**2 + 0. 6292 Simplify -5 + (sqrt(56) - 2*sqrt(2016))/(-1*sqrt(32)/sqrt(4)). -5 + 11*sqrt(7) Simplify sqrt(1377) - (2*sqrt(1377))**2 - -1*(sqrt(17) - sqrt(51)/sqrt(3)). -5508 + 9*sqrt(17) Simplify sqrt(36)/(1*sqrt(768)). sqrt(3)/8 Simplify sqrt(343) - (sqrt(343) + sqrt(343)*3 + -2). -21*sqrt(7) + 2 Simplify (sqrt(55)*2*-1)/(sqrt(30)/sqrt(54) + sqrt(5)). -3*sqrt(11)/2 Simplify ((4*sqrt(13) - sqrt(13)) + -3)**2*2. -36*sqrt(13) + 252 Simplify ((sqrt(1539) + 0 + -3 + -5)*-3)**2. -1296*sqrt(19) + 14427 Simplify ((1 + sqrt(304))*-1 + -4 + -3)**2. 64*sqrt(19) + 368 Simplify (-5*2*sqrt(1300) - sqrt(1300)*-4*-4)**2. 878800 Simplify (-2*sqrt(1125))/sqrt(9). -10*sqrt(5) Simplify (sqrt(1088) - ((sqrt(1088) - (-5 + sqrt(1088) + 0 + sqrt(1088))) + sqrt(1088)))**2. -80*sqrt(17) + 1113 Simplify ((sqrt(60)/sqrt(2)*5)/((sqrt(72)*-3)/sqrt(12)))**2. 125/9 Simplify -6*(sqrt(117) - (-6*(sqrt(117) - (1*sqrt(117) - sqrt(117))) - sqrt(117))). -144*sqrt(13) Simplify (2 + sqrt(38)/sqrt(2) + sqrt(19) + -1 + 3)**2. 16*sqrt(19) + 92 Simplify 4*((-2 + sqrt(3)*-2 - sqrt(3)) + -2). -12*sqrt(3) - 16 Simplify 6*(sqrt(11) + (sqrt(176)*-4)**2)*2. 12*sqrt(11) + 33792 Simplify -6*(sqrt(13) + -3*sqrt(117) + sqrt(13))*-2. -84*sqrt(13) Simplify -1 + sqrt(243) - 2*(sqrt(243))**2. -487 + 9*sqrt(3) Simplify sqrt(2) - (sqrt(162) + (1*sqrt(162) + sqrt(162))**2) - ((sqrt(2)*2)**2 + 4). -660 - 8*sqrt(2) Simplify ((sqrt(189) + 2*sqrt(189))/sqrt(7))/((sqrt(72)/sqrt(2))/sqrt(4)). 3*sqrt(3) Simplify 2*(sqrt(3) + sqrt(27)*5)**2. 1536 Simplify (0 + (sqrt(1573) + 0 - sqrt(1573)) + sqrt(1573) - sqrt(1573)) + sqrt(1573) - sqrt(1573) - sqrt(1573) - (0 + sqrt(1872) + -1 + sqrt(13))**2. -2198 + 15*sqrt(13) Simplify 1 + -3*(sqrt(252)*-2 + sqrt(252)). 1 + 18*sqrt(7) Simplify (-2 + -3 + (-5*sqrt(68) - sqrt(17)))**2. 110*sqrt(17) + 2082 Simplify -2*sqrt(176) - (sqrt(11)*1*-2 - sqrt(11)). -5*sqrt(11) Simplify sqrt(88)/((5*sqrt(80) - sqrt(80))/sqrt(10)). sqrt(11)/4 Simplify 4*4*6*((0 + sqrt(3))**2 + -1). 192 Simplify -4*sqrt(3087). -84*sqrt(7) Simplify (5*(sqrt(343) + sqrt(343) + -2)*-3)**2. -12600*sqrt(7) + 309600 Simplify 3*((sqrt(475))**2 + 5 + 1*sqrt(76)). 6*sqrt(19) + 1440 Simplify ((-4 + sqrt(19) + 3)*-4)**2. -32*sqrt(19) + 320 Simplify 5 + sqrt(612)*2. 5 + 12*sqrt(17) Simplify sqrt(208) + 2*sqrt(208) + 5. 5 + 12*sq
{ "pile_set_name": "DM Mathematics" }
- r*d + 2*d**2 - d**2. Let q(g) = 8*g**2 - 4. Determine q(m(b)). 8*b**4 - 4 Let f(o) = -7*o + 133. Let g(h) = -32*h. Determine f(g(m)). 224*m + 133 Let t(x) = -x. Let m(f) = 789926575*f**2. Give t(m(u)). -789926575*u**2 Let c(x) = 1248*x**2. Let q(v) = -18426*v**2 - v. Determine q(c(f)). -28698568704*f**4 - 1248*f**2 Let i(h) = 2*h**2 + 44*h - 25. Let v be i(-23). Let m(d) be the first derivative of d**3 + 21*d - v*d + 6 - 34. Let r(q) = 15*q**2. What is m(r(w))? 675*w**4 Let y(f) be the first derivative of 2*f**3/3 - 3290. Let k(r) = -536*r**2 + 3. Calculate k(y(h)). -2144*h**4 + 3 Let i(n) = 8*n**2 + 5*n**2 - 8*n**2 + 10*n**2. Suppose -4*d + 5*d - 30 = 0. Let t(x) = d*x + 25*x - 59*x. What is i(t(b))? 240*b**2 Let f(a) be the third derivative of -7*a**4/24 + 477*a**2. Let n(d) = -2*d**2 + 181*d. Give n(f(p)). -98*p**2 - 1267*p Let v(q) = 72818463*q. Let b(z) = -z. Determine v(b(c)). -72818463*c Suppose 0 = 5*b + f + f - 4068, 0 = 3*b - f - 2432. Let j = 992 + b. Let l(s) = 1804 - j + 2*s. Let d(z) = 38*z**2. Give l(d(x)). 76*x**2 Let d(q) = 34*q**2. Let u(j) be the third derivative of -j**6/90 - 7*j**3/6 + 2*j**2 + 4*j. Let t(z) be the first derivative of u(z). Give t(d(k)). -4624*k**4 Let z(i) = 11*i**2. Let q(k) = -159*k**2 + 2. Let s(w) = 52268*w**2 - 657. Let j(u) = -1314*q(u) - 4*s(u). Give j(z(x)). -17666*x**4 Let b(r) be the first derivative of -37*r**3 + 80. Let u(t) be the first derivative of 2*t**3/3 + 232. Give b(u(m)). -444*m**4 Let h(j) = 26*j**2. Let l(s) = s**2 - 2*s + 2. Let k(f) = 3*f**2 + 8*f - 8. Let t(a) = k(a) + 4*l(a). Calculate t(h(r)). 4732*r**4 Let j(x) = 6*x**2. Let p(q) = 48*q**2 + 20*q + 20. Let z = -372 + 332. Let a(n) = -7*n**2 - 3*n - 3. Let f(l) = z*a(l) - 6*p(l). What is j(f(v))? 384*v**4 Let r(b) = -b**2 + 317*b. Let a(v) = 66050*v. Determine r(a(t)). -4362602500*t**2 + 20937850*t Let b(p) = 3*p. Suppose 193*i - 174*i - 81 = -5. Let k(s) be the second derivative of 0*s**3 + 17*s + 0 + 0*s**2 - 5/3*s**i. Calculate k(b(u)). -180*u**2 Let n(w) = -58*w - 14. Let m be n(-1). Let o(j) = m*j - 39778 + 39778. Let c(a) = a. What is o(c(u))? 44*u Let p(y) = -4*y. Let q(b) = 12*b + 229343 - 230851 - 13*b. Determine p(q(i)). 4*i + 6032 Let g(q) = q - 44. Let b(l) be the first derivative of l**5/40 - l**3 + 17*l - 29. Let v(x) be the third derivative of b(x). What is v(g(k))? 3*k - 132 Let h(o) = 11*o + 2341. Let r(m) = -9*m - 2399. Let p(d) = -6*h(d) - 7*r(d). Let f(c) = -c. Determine p(f(y)). 3*y + 2747 Let z(b) = -5*b**2. Let g = 4335 + -4335. Let c(d) be the second derivative of g + 3*d + 0*d**2 + 2/3*d**3. Determine c(z(q)). -20*q**2 Let i(u) = 702*u**2 + 2. Let n(z) be the third derivative of z**5/20 + 173*z**2 - 2. Give n(i(y)). 1478412*y**4 + 8424*y**2 + 12 Let q(p) be the second derivative of p**3/3 + 1446*p + 1. Let g(v) = -5271*v**2. What is g(q(a))? -21084*a**2 Let h(c) be the second derivative of 1/6*c**3 + 0*c**2 + 7 - 10*c. Let l(z) = 8*z - 6. Let v(q) = -q + 1. Let i(k) = l(k) + 6*v(k). Calculate i(h(r)). 2*r Let m = 813 + -811. Let j(b) = -89*b**m - 287*b**2 + 9 - 6 - 3. Let w(i) = -i**2. Give j(w(l)). -376*l**4 Let p(h) = -62*h. Let r(f) = 17*f**2 - 2*f + 72. Let u(a) = 222*a**2 - 27*a + 972. Let z(g) = -27*r(g) + 2*u(g). Calculate z(p(c)). -57660*c**2 Let x(u) = -116*u**2. Let q(s) = -262*s + s**2 - 8*s**2 + 262*s. Determine x(q(c)). -5684*c**4 Let k(q) = 6*q. Let n(u) = -349*u**2 - 36*u + 4. Let c(j) = -8723*j**2 - 891*j + 99. Let h(r) = -4*c(r) + 99*n(r). Give h(k(i)). 12276*i**2 Let i(z) = 986050*z. Let y(a) = 2*a - 25. What is i(y(r))? 1972100*r - 24651250 Let r(o) = -15*o**2. Let t(h) = h - 9*h + 0*h - h. Let q(b) = b. Let z(j) = 4*q(j) - t(j). Give r(z(s)). -2535*s**2 Let i(b) = -1493679*b. Let f(a) = 2*a**2 + 9. Determine i(f(m)). -2987358*m**2 - 13443111 Let l(j) = 1209*j**2. Let c(t) = t**2 + 4*t + 18. Give c(l(d)). 1461681*d**4 + 4836*d**2 + 18 Let v(z) = -z**2. Let u(q) = -12359037*q. Give u(v(x)). 12359037*x**2 Let j(z) = -139*z**2. Let r(s) = 65896*s. Give j(r(d)). -603577311424*d**2 Let c(y) = 3*y**2. Let z(k) = -13*k - 163. Let o(m) = 4*m + 52. Let b(g) = 8*o(g) + 3*z(g). What is b(c(v))? -21*v**2 - 73 Let h(l) = 2*l**2. Let j(r) = 351*r**2 + 8576 - 8576. What is h(j(q))? 246402*q**4 Let j(a) be the first derivative of 14*a**3/3 + a**2/2 + 4. Let c(s) be the first derivative of -s**3/3 + 13185. What is c(j(h))? -196*h**4 - 28*h**3 - h**2 Let n(t) = 40*t - 7*t - 16*t - 16*t. Let a(y) = 3*y. Let l(u) = -2*u. Let z(r) = -3*a(r) - 4*l(r). What is n(z(k))? -k Let p(k) be the second derivative of 2/3*k**3 + 0*k**2 - 3*k - 9. Let v(d) = 16*d**2. Give p(v(a)). 64*a**2 Let s(v) = 3*v. Suppose a + 4 = 3*a. Let j(y) be the first derivative of 14 - 5*y**a - y**2 + 12*y**2 - 5*y**2. Calculate s(j(o)). 6*o Let c(l) = 32*l. Let b(v) = 111*v - 3314 + 6631 - 3317. What is b(c(f))? 3552*f Let w(y) = 144 - 6494*y - 8*y**2 + 6496*y - 144. Let p(d) = 21*d - 2. Calculate p(w(s)). -168*s**2 + 42*s - 2 Let b = 23 - 23. Let w(v) = 9*v - 14*v + b*v. Let i(k) = k - k - 2*k**2. Give w(i(g)). 10*g**2 Suppose -2 = -4*n + 6. Let m(t) = 5*t**n + 15*t**2 - 6*t**2 + 3*t**2. Let u(g) be the second derivative of -g**3/3 + 33*g. What is m(u(z))? 68*z**2 Let z(j) = -18*j. Let t(q) = -4181975*q**2. Determine z(t(s)). 75275550*s**2 Let m(o) = -1068*o - 4*o**2 + 29*o**2 + 1068*o. Let r(j) = -13*j - 3. Determine m(r(n)). 4225*n**2 + 1950*n + 225 Let r(k) = 9*k**2. Let q = 405 + -403. Let c(w) = 13*w**2 - 39*w**q + w**2. Determine c(r(l)). -2025*l**4 Let s(l) = -3*l + 1. Let v(w) be the third derivative of w**4/4 + w**3/2 - 238*w**2. Let n(b) = 2*s(b) - v(b). Let c(t) = -4*t**2. What is c(n(y))? -576*y**2 - 96*y - 4 Suppose -379 = -28*i + 1777. Let y(j) = -28*j - 13*j - 27*j + i*j - 40*j. Let h(r) = -2*r. Determine y(h(g)). 62*g Let u(h) = -11*h**2 + 14*h**2 - 2*h**2 - 2*h**2. Let l(t) = 25*t - 26. Let m(d) = 24*d - 30. Let v(g) = 7*l(g) - 6*m(g). Give u(v(z)). -961*z**2 + 124*z - 4 Let i(h) = 5*h**2 + h**2 + 0*h**2 - 20*h**2 + 13*h**2. Let b(u) = -139*u**2 - 1921 + 3848 - 1927. Give b(i(g)). -139*g**4 Let z(o) be the second derivative of -23/6*o**4 + 0*o**3 - 1 + 0*o**2 + 8*o. Let g(r) = -r. Determine g(z(f)). 46*f**2 Let r(y) = -245*y. Let q(t) = 52*t - 180. Let p(c) = -21*c + 75. Let w(f) = -12*p(f) - 5*q(f). Determine w(r(x)). 1960*x Let b(o) be the second derivative of 89*o**4/12 + 3*o**2/2 + 5486*o. Let v(p) = 5*p. Give v(b(d)). 445*d**2 + 15 Let d(u) = -9533028*u. Let t(f) = 2*f**2. Determine t(d(v)). 181757245697568*v**2 Let w(c) = 0 + 3*c + 0. Let q(a) = -a**2 - 13*a. Let u(y) = -6*q(y) - 26*w(y). Let i(g) = -1101*g**2 + 1979*g**2 - 874*g**2. Calculate u(i(s)). 96*s**4 Let r(q) = 93165*q**2. Let j(z) = 4*z + 3. Determine j(r(d)). 372660*d**2 + 3 Let k(r) = -17*r**2. Let q(p) be the second derivative of 5*p**4/4 + 6*p + 14. Determine k(q(t)). -3825*t**4 Suppose 754*g - 726*g + 46 = 186. Let p(o) be the third derivative of 0*o**4 + 0*o - 1/60*o**g + 6*o**2 + 0 + 0*o**3. Let n(r) = -5*r**2. Determine p(n(y)). -25*y**4 Let i(k) = -k**2 + 2*k + 3367. Let v(f) = -26*f - 111*f - 112*f + 249*f + 2*f**2. Give i(v(h)). -4*h**4 + 4*h**2 + 3367 Let k(h) = 52*h + 3217 - 1084 - 1087 - 1045. Let w(j) = 8*j. Let x(f) = 7*f. Let m(g) = 4*w(g) - 5*x(g). Give k(m(l)). -156*l + 1 Let p(y) be the third derivative of -y**5/20 - 11*y**3/3 - 29*y**2 - y. Let t(o) = -36*o. Calculate p(t(d)). -3888*d**2 - 22 Let b(p) be the first derivative of -3*p**6/40 - 181*p**3/3 - 245. Let g(s) be the third derivative of b(s). Let w(z) = 3 + z**2 - 3. What is w(g(y))? 729*y**4 Let j(z) be the third derivative of -z**5/30 - 6*z**2. Let k(a) = -6*a**2. Let s(o) = -14*j(o) + 5*k(o). Let u(q) = -504*q. Give u(s(d)). 1008*d**2 Let u(h) = -7*h**2 - 474*h + 474*h. Let q(y) = -26*y**2. Determine u(q(j)). -4732*j**4 Let k(v) = 87*v**2. Let o(t) be the second derivative of 0*t**3 - 108*t - 1 + 0*t**2 + 1/12*t**4. Determine o(k(f)). 7569*f**4 Let x(y) = 130*y**2. Let w(n) be the first derivative of 2*n**3 - 5*n - 2575. Calculate x(w(s)). 4680*s**4 - 7800*s**2 + 3250 Let f(u) = -667*u**2 + 10*u**2 - 426*u**2. Let v(i) = i**2. What is f(v(m))? -1083*m**4 Let a(u) = -19742943 + 3*u - 2*u + 19742943. Let j(x) = -3*x + 5*x - x - 1. Let b(k) = 26*k - 3. Let f(p) = b(p)
{ "pile_set_name": "DM Mathematics" }
(2 + 4 - 4)*(0*o + o + o) in the form b*o + a and give b. -39 Express (-2*r + 0*r + 0*r)*(0*r**2 + 0*r**2 - r**3) + 4*r**4 - 2*r**4 + 5*r**4 as u*r**2 + o + c*r**4 + j*r**3 + i*r and give c. 9 Express 73*q - 27 + 27 as i + r*q and give r. 73 Rearrange -9*g + 3*g - 4*g + (4 - 4 + 2)*(3 - 3 + g) to w*g + j and give j. 0 Rearrange (0*w + 5*w + 12*w)*(-4*w**3 + 5*w**3 - 3*w**3) to the form j*w**4 + x*w**3 + q*w + p + d*w**2 and give j. -34 Express -4 - 2*f**2 - 5*f - 2*f + 5*f**2 + 3 in the form z*f + x + s*f**2 and give s. 3 Express (g + 0*g + 0*g)*(3*g - 7 + 7) + 9 - 9 + 11*g**2 in the form u*g + t*g**2 + k and give t. 14 Express ((-2 - 1 + 1)*(-2 + 2 - y) - 4*y + y + 4*y - y + 0 + 0 + 3004 - 3004 + 19*y)*(-1 + 0 + 0) as h*y + i and give h. -21 Express 4 - k**2 - k**4 - k**4 - 3 + 27*k**2 as p*k**4 + s*k**2 + c + n*k**3 + m*k and give s. 26 Rearrange 2 + 1 - 6*l**3 + 5*l**3 + 2*l**2 to the form n + m*l + r*l**3 + c*l**2 and give c. 2 Express (-d - 2*d + 4*d)*(-25*d - 23 + 23 - 65*d) as l*d**2 + c + h*d and give l. -90 Express -10*p - 3*p + 4 + 2*p**2 - 2*p**3 - 3*p**2 - 3 in the form d*p + y*p**3 + b + m*p**2 and give y. -2 Rearrange (h**2 - 4*h + 4*h)*(0 - 2*h**2 + 0)*(-1 + 12 + 36) to s*h**3 + v + p*h + x*h**4 + d*h**2 and give d. 0 Rearrange -d**2 + d**3 + d**2 + (d - 4*d + 5*d)*(-4*d**2 + 4*d**2 - 4*d**2) to the form t + y*d + h*d**2 + j*d**3 and give j. -7 Rearrange 2*t + 2*t**2 - 5*t**3 - 3*t**4 + 3*t**3 + 0*t**2 + t**4 to the form c*t + u*t**3 + j*t**4 + o + d*t**2 and give c. 2 Rearrange (23 - 36 - 15 - 25)*(-3*t**3 - 2 + 2) to the form d*t**2 + x + k*t + b*t**3 and give x. 0 Rearrange -6*a**4 + 3*a - a**2 + 3*a**3 - 5*a**3 + a - 3*a to r*a**3 + d*a**2 + p*a + o + m*a**4 and give p. 1 Express -d + d + 2*d + (4 + 3 - 6)*(2 - 2*d - 2) - 5*d + 5*d + d - d - 3*d + d - d - 3*d + 5*d + 0 + 2*d + 0 in the form j*d + t and give j. 1 Rearrange 52*t**3 - t - 108*t**3 + 51*t**3 - 3 to f*t**2 + u*t**3 + b*t + a and give a. -3 Express (8*h**2 - 23 + 3*h**2 + 22)*(0 + 7 - 2) in the form v*h**2 + m + n*h and give n. 0 Express 25 - 2*m**2 - m + 25 - 2*m**3 - 53 in the form r*m**3 + y + k*m + o*m**2 and give o. -2 Express 6 + 9 + 5*h**2 - 13 in the form y*h + w*h**2 + u and give u. 2 Express -90*q - 84 + 84 - 26*q as l*q + f and give f. 0 Rearrange 3*c + 2*c**3 + 3*c**3 - 4*c**3 to the form i + q*c**3 + v*c**2 + w*c and give w. 3 Rearrange -14*l**3 + 2*l - 1 - 17*l**3 + 11*l**3 - l**2 to m*l**3 + r*l**2 + s + b*l and give r. -1 Rearrange 2*i**3 + i**3 - 2*i**3 + 3*i**2 - 174*i + 173*i to the form m*i + k + w*i**2 + j*i**3 and give j. 1 Rearrange 1 - 1 - c**4 + (c + 3 - 3)*(6*c**3 + 0*c**3 - 3*c**3) + 9*c**4 - 5*c**4 - 5*c**4 to d*c**4 + h + f*c**3 + n*c**2 + y*c and give d. 1 Express 3 + j + 0 + 66*j**3 - 63*j**3 + 3*j**4 as c*j**2 + t + h*j + x*j**3 + p*j**4 and give h. 1 Rearrange f**3 - 4 - 6*f**3 - f**2 - f**2 + 3*f**3 to r + p*f + h*f**3 + t*f**2 and give h. -2 Rearrange (-2 + 2 - 5)*(0*a + a - 2*a) + (1 - 3 + 0)*(-a + 0 + 0) to v + d*a and give d. 7 Rearrange -43*m**2 - 87*m**2 + 35*m**2 to the form w*m**2 + z*m + y and give w. -95 Express (-3*a - a + 3*a)*(-21 + 39*a**3 + 19 - 38*a**3 - a**2) in the form p*a**2 + z*a**4 + t*a + c*a**3 + b and give z. -1 Rearrange -7*b - 18*b**2 + 45 + 5*b**2 - 45 to the form r*b + j*b**2 + f and give r. -7 Express -3*t + 3*t - 3 - 4*t**3 + 0*t**3 as f*t**3 + v*t + g + u*t**2 and give g. -3 Express (-2*y + 3 - 3)*(-2 - 3*y + 2) + (2 + 2 - 2)*(-2 - 3 + 6)*(-5*y**2 + 10*y**2 - 9*y**2) as t*y**2 + j*y + u and give t. -2 Express (4*m + 6*m + 10*m)*(-10 + 10 - 3*m**2) as g*m**3 + t + y*m**2 + i*m and give g. -60 Rearrange (-u + 4 - 5 - 3)*(5*u + 4*u + 8*u) to the form i + h*u**2 + a*u and give a. -68 Rearrange -43*x - 5 + 6 - 13*x - 3*x to the form q + j*x and give q. 1 Rearrange 14*y + 7*y + 7*y - 11*y to the form w*y + o and give w. 17 Express -4 - 2 - 4 - 1 + t**3 in the form d*t**3 + i + h*t + f*t**2 and give h. 0 Express 2*u**4 - 2*u + 44*u**2 - u**4 + u**3 + 10*u - 43*u**2 as d + c*u**3 + i*u**2 + o*u**4 + j*u and give c. 1 Rearrange (-198 - 65*c + 198)*(0*c + c - 2*c) to the form x*c**2 + o*c + l and give o. 0 Express (-4 + 4 + 7*a)*(-2 + 0 - 1) + a - a + a as c + z*a and give z. -20 Rearrange -4*w**3 - 2*w + 5*w**2 + 5 - 4*w**3 - 3*w**2 + 4*w**3 to the form u + h*w + l*w**3 + m*w**2 and give l. -4 Express (250*d + 397*d - 527*d)*(-2 - 3 + 6)*(3*d + 4*d - 5*d) as y*d + t + z*d**2 and give t. 0 Express (-p**2 + 3*p - 3*p)*(-3*p**2 + 9*p**2 + p**2) in the form s*p**3 + m*p**2 + a*p**4 + w*p + f and give a. -7 Express -4 + u**3 + 5 + 2*u**2 + 2*u**3 as r + x*u + b*u**2 + g*u**3 and give b. 2 Express 11*b - 17*b + 11*b as d*b + v and give d. 5 Rearrange (292*w + 4*w - 63*w)*(2*w + w - 5*w) to q + z*w**2 + m*w and give z. -466 Rearrange 5 + 2*p**2 - 7*p**2 - 2*p**3 - 2*p - 6*p**2 + 10*p**2 to g*p**3 + j*p**2 + k*p + q and give g. -2 Express -o**3 + 2*o**3 + 2*o**3 + (-5*o + 3*o + 0*o)*(-2*o**2 - 3*o**2 + 3*o**2) + 7*o**2 - 7*o**2 + o**3 as t*o**2 + y*o**3 + g + k*o and give y. 8 Express 4*z + 42*z - 12*z as h + p*z and give p. 34 Rearrange -1209 + 2*b**3 + 4*b - 3*b**4 + 1212 + b**4 to the form v*b**2 + p + m*b**3 + o*b**4 + f*b and give f. 4 Rearrange ((108*t + 30*t**2 - 108*t)*(-2 + 1 + 3) - 2*t**2 - 2*t**2 + 5*t**2)*(t**2 - 2*t + 2*t) to n*t**4 + o*t**2 + z*t + m*t**3 + i and give n. 61 Rearrange -93*f**3 + 2 - 2386*f**2 + 2386*f**2 to the form i + m*f**3 + t*f**2 + l*f and give i. 2 Express -748*z + 743*z - 2*z**2 + 2 - 1 in the form l*z**2 + s + r*z and give s. 1 Express -o - 13*o - 2*o + 2*o as x + i*o and give i. -14 Rearrange 0*f**3 + f**3 - 2*f + 3*f**3 + 5*f to j*f**3 + p + y*f + h*f**2 and give p. 0 Rearrange (-1 - 2 + 2)*(-2*a - 2 + 2) + 20 - 10 - 9 - 18*a to v*a + x and give x. 1 Rearrange (7*g - 2*g + 3 - 4)*(-1 + 2 + 1) to the form v*g + c and give v. 10 Rearrange -8*l + 12*l - 23*l to the form y + m*l and give m. -19 Rearrange -12*r + 109 - 109 to u + b*r and give b. -12 Express (-3*p - p + 6*p)*(-1 + 3 + 1)*(25*p + 43 - 43)*(-p + 2*p - 2*p) in the form s*p + r*p**3 + n*p**2 + v and give r. -150 Rearrange (-3 + 3 + 2*z)*(15*z - 13*z - 19 + 0) to x*z**2 + v*z + n and give v. -38 Rearrange -31 + 31 - 32*i + (-2*i + 1 - 1)*(-1 - 1 + 1) to the form z*i + o and give z. -30 Rearrange -2*o**2 - 577*o - 8 - o**3 - 4 - o**4 + 577*o to d*o**3 + y*o**2 + j + c*o**4 + k*o and give j. -12 Express 19 + i**2 - 12 - 24 in the form y*i**2 + d + l*i and give l. 0 Rearrange -5*i**3 + 8*i**3 + 2*i**3 + 2*i**4 - i**2 - 2*i**3 to f*i**2 + d*i**3 + w*i + l + x*i**4 and give f. -1 Rearrange (-48 - 14*w**3 + 48)*(-2*w + 9*w - 2*w) + (-w + w + w**2)*(0*w + 0*w + w**2) to y*w**3 + f*w**2 + r*w**4 + u + b*w and give r. -69 Rearrange -67*u + 196*u**2 + 10*u - 195*u**2 to the form n + m*u**2 + b*u and give b. -57 Rearrange -6*v - 4*v + 8*v to the form k*v + t and give k. -2 Rearrange 2*r**2 - r**3 + 0*r**3 + 0*r**4 - r - 85 + 87 + 6*r**4 to the form u*r**4 + v*r + q + h*r**3 + f*r**2 and give u. 6 Rearrange -24*u**2 + 2*u + 2 - 2*u**4 + 15*u**2 + 10*u**2 + u**4 to the form f*u + m*u**4 + w + s*u**2 + t*u**3 and give f. 2 Rearrange (14*g - 14*g - 4*g**3)*(2 - 3 + 2) - g**3 - 2*g**2 - 5 + 7 + 6*g**2 to y*g + l*g**3 + c + w*g**2 and give c. 2 Rearrange (0*x + 4*x - 5*x)*(-x + 4 - 4) + (2*x + 0 + 0)*(3*x - 3*x - 3*x) to c + b*x + k*x**2 and give k. -5 Express 0*p - 2*p + p**2 + 22 - 6 in the form l*p**2 + d + h*p and give l. 1 Express (-2 + 0 + 0)*(11*k + 37*k - 4*k)*(3 - 1 + 0) in the form q + p*k and give p. -176 Rearrange -2*p**2 + 1 - 5*p**3 + 2*p**3 - p**3 to d + m*p**2 + o*p + z*p**3 and give z. -4 Rearrange -3*d + 5*d - 3*d + (-2*d + 5*d - 4*d)*(7 + 1 + 17) to j + o*d and give o. -26 Express -3*a**3 - 3*a**2 - a + 2*a**2 - a in the form n*a + m + v*a**3 + s*a**2 and give n. -2 Rearrange -w**2 + 39*w + w**2 + w**4 - 37*w - 12*w**3 to the form z + j*w + h*w**4 + v*w**2 + u*w**3 and give j. 2 Rearrange -21*w**2 + 3214 - 3214 to the form r + o*w + v*w**2 and give o. 0 Rearrange -14*l**4 + 10*l**4 + 2*l**2 + l**4 + 1 - 13*l**3 + 5*l**3 to z + q*l**2 + v*l**3 + w*l**4 + h*l and give z. 1 Express (19 - 13 - 15)*(-7*b + 4 - 4) in the form i + t*b and give t. 63 Rearrange (-5 + 5 - 2*x)*(4*x**2 + x**2 - x**2) - 10*x**3 - 17*x**3 +
{ "pile_set_name": "DM Mathematics" }
0) - sqrt(70)*-2)*-6 + sqrt(70)) - -1*2*sqrt(70))/(sqrt(10) - -1*sqrt(1210) - sqrt(50)/sqrt(5)*5))**2. 361/7 Simplify (((3*sqrt(448) + sqrt(448))*6 + (sqrt(2800) - (-3*sqrt(2800) - sqrt(2800))) + 0 + 1)*6)**2. 21024*sqrt(7) + 21486564 Simplify (3 + 5*((1*sqrt(272) - sqrt(17) - sqrt(17)) + (sqrt(187)*2)/sqrt(11) + (-2*(0 + sqrt(17)) - (sqrt(612) - 2*sqrt(612)))))**2 + 4. 240*sqrt(17) + 27213 Simplify -4*(1 + 5 + (sqrt(1584) - (4 + 0 + sqrt(1584)) - (sqrt(1584) + sqrt(1584) + (6*(2 + sqrt(1584)))**2 + sqrt(1584)))). 7056*sqrt(11) + 228664 Simplify ((sqrt(99) + ((sqrt(99)*1 - sqrt(99))*-5 - sqrt(99)) + sqrt(99) - sqrt(99))/(sqrt(1375)/sqrt(5) - sqrt(11)))/(6*sqrt(24)/(3*4*sqrt(8))). 0 Simplify 2 + (2*(sqrt(1100) + 1) - (-5 + sqrt(1100) + -2*sqrt(1100) + sqrt(1100))) + (((sqrt(1100) + sqrt(1100)*-1)*2)**2 - (-2*sqrt(792))/sqrt(2)). 9 + 32*sqrt(11) Simplify (1*((sqrt(110) + -1*sqrt(110) + sqrt(110) + sqrt(110))*2*6)/(-2*sqrt(250) + sqrt(30)/sqrt(3)*2) + 0)**2. 99 Simplify 2*2*((sqrt(637) - (sqrt(637) - (5 + (sqrt(637)*-4 + sqrt(637) - sqrt(637)) - sqrt(637) - sqrt(637) - sqrt(637))**2)) + -1*sqrt(637)*-2 + -1). -1904*sqrt(13) + 124948 Simplify ((sqrt(396) - sqrt(396)*-2 - sqrt(396)) + sqrt(352)/(sqrt(32)/sqrt(4)))/((sqrt(576)*-2 - sqrt(16)/sqrt(4)*-4)*3). -7*sqrt(11)/60 Simplify (((2*sqrt(95)*-4)/(sqrt(25)/(sqrt(20)/sqrt(4))))**2 + 0 + (-1 + -1 + sqrt(2299) + sqrt(2299))**2*-3*1)*-1. -264*sqrt(19) + 26384 Simplify ((-4*(sqrt(26) - sqrt(286)/(sqrt(22)/sqrt(2)) - sqrt(78)/sqrt(3)*-1))/(((sqrt(220)*2)/sqrt(11) - sqrt(20))/((sqrt(40)/sqrt(2))/sqrt(2))) + 0)**2. 208 Simplify (-5*sqrt(504)*-5)/((sqrt(32) - sqrt(8))*-1 + (sqrt(72)*2 - sqrt(72))). 75*sqrt(7)/2 Simplify 0 + (-5 + ((-4*sqrt(132))/sqrt(4))/((sqrt(24)*-3)/sqrt(8)) + 1)*-6. -8*sqrt(11) + 24 Simplify 3*(((sqrt(119) - ((sqrt(119)*1 - sqrt(119)) + sqrt(119))*3) + sqrt(119))*6*6)/(1*sqrt(3388)*1 + sqrt(3388)). -27*sqrt(17)/11 Simplify (sqrt(3024)*-1)/(-1*sqrt(192) + sqrt(192) + sqrt(192)) + (sqrt(35)/sqrt(80) + (sqrt(21)/sqrt(3) - sqrt(7))*6)**2. -3*sqrt(7)/2 + 7/16 Simplify (2 + -6*(sqrt(5) - (3 + (sqrt(5) - 2*sqrt(5)))) - (sqrt(3645) + sqrt(5) - -5*-4*sqrt(5)))**2. -800*sqrt(5) + 2400 Simplify 1 + ((sqrt(192)*2)/((sqrt(84)/sqrt(2))/sqrt(7)))/(sqrt(24)/sqrt(150) - (-5*(sqrt(4) - sqrt(8)/sqrt(2)) + sqrt(4))). -5*sqrt(2) + 1 Simplify 3*(-4 + sqrt(833)*-1 + -1 - 6*4*(sqrt(833) + -2))**2*6*-6. -56427192 + 1625400*sqrt(17) Simplify (sqrt(176) - (2 + sqrt(176))*6 - 4*sqrt(176)*4)**2 - (-3 + sqrt(176) + 2 + (sqrt(176) - (sqrt(176) + 0 + sqrt(176))) + -3)**2. 2016*sqrt(11) + 77744 Simplify ((sqrt(153) - (sqrt(153) - sqrt(153)*2) - sqrt(153))/sqrt(9) - (3*sqrt(425))**2 - (1*sqrt(306))/sqrt(2)*3) + 4. -3821 - 8*sqrt(17) Simplify -2*((-5 + (((2*sqrt(300) + sqrt(300))*1)/sqrt(6))/(sqrt(80)/(-2*sqrt(8)*-2)))*-5)**2. -37250 + 6000*sqrt(5) Simplify (((1 + (sqrt(136) - (sqrt(136) + -4*(sqrt(136) + sqrt(136)*2) + sqrt(136) - sqrt(136)))/(sqrt(392)*2 + sqrt(392) + sqrt(392))*4)*5 + -3)*-3)**2. 2160*sqrt(17)/7 + 552564/49 Simplify -1 + ((sqrt(114) - 5*2*sqrt(114))/(sqrt(24)*-6 - sqrt(6)) - (sqrt(152) + 6*(sqrt(152)*-1 - sqrt(152)))/(-1*sqrt(512))). -71*sqrt(19)/104 - 1 Simplify (2*sqrt(400) + sqrt(64) + 1*sqrt(64))/(sqrt(8)/((sqrt(32)*4)/sqrt(8))). 112*sqrt(2) Simplify -6*(-3*(6*sqrt(720)*-1 - (5*(sqrt(720) + sqrt(720) + 1*sqrt(720)) - sqrt(720))) + -4)**2*-5. -172800*sqrt(5) + 77760480 Simplify (((sqrt(200) - sqrt(200)*-2*1) + sqrt(200))**2*3 - (sqrt(18) + 1 + (sqrt(2) + -4 + sqrt(4)/sqrt(2))**2)) + 3. 13*sqrt(2) + 9578 Simplify (-1*(1*(sqrt(2) + -1)*6*-3 - ((2*sqrt(56))/sqrt(4))/((sqrt(7) - sqrt(441)/sqrt(7)) + sqrt(7) - sqrt(7))))**2. -612*sqrt(2) + 902 Simplify -5 + (sqrt(2057) + -3)*5 + (2*-1*sqrt(2057)*-3)**2 + 2. 55*sqrt(17) + 74034 Simplify ((((sqrt(1377) + 0)*5)**2 - (2 + (0 + sqrt(1377))**2))*-3 + -5)*-2*-4. -793144 Simplify -5*((3 + sqrt(76))**2 + -2) + -6*(sqrt(76) + -6*(sqrt(76)*3 + sqrt(76))). -415 + 216*sqrt(19) Simplify ((1*sqrt(171) + sqrt(171))*-5 - sqrt(171))/sqrt(9) + 0 + (((sqrt(19) - sqrt(1539)*2) + 2)*5)**2. -1711*sqrt(19) + 137375 Simplify 1*((sqrt(288)*-2*-3 - (-2 + sqrt(288)*-2)) + (3*(0 + sqrt(288) - sqrt(288)))**2*4) + 0. 2 + 96*sqrt(2) Simplify (-4*(sqrt(21) - sqrt(84)/sqrt(4)) - (sqrt(252)*1)/sqrt(12))/(sqrt(84)/(1*sqrt(12)*-2)) + 5. 2*sqrt(3) + 5 Simplify -4*(5 + (sqrt(468) + -2 + -4 - (-2 + sqrt(468)*-3)) + 2)**2. -29988 - 576*sqrt(13) Simplify ((sqrt(256) - sqrt(256)*-2)/((-1*sqrt(40))/sqrt(5)) - (sqrt(18)/(sqrt(54)/sqrt(6)) - (sqrt(2) - sqrt(384)/sqrt(12))))**2. 512 Simplify (-2 + 4*(-2 + sqrt(704)) + (0 + sqrt(704) + 0 - sqrt(704) - sqrt(704) - (sqrt(704)*-1 + 5)))**2*3 + -5. -2880*sqrt(11) + 34462 Simplify (sqrt(80) + -1)*-5 + (sqrt(80) + -3)*-4 - ((3*-3*sqrt(80))**2 + ((3*sqrt(80))**2*2 - sqrt(80))). -7903 - 32*sqrt(5) Simplify (((sqrt(408) + ((sqrt(408) + 1*sqrt(408) - sqrt(408))*-3 - sqrt(408)))/(2*sqrt(300) + sqrt(12)))/((-3*sqrt(24)*2)/(sqrt(432) + sqrt(432)*-2)))**2*3. 459/121 Simplify 5*(-2 + ((3*2*(sqrt(33)*-1 + sqrt(33)))/(4*2*sqrt(48)))**2). -10 Simplify (2*(1 + sqrt(1008)) + sqrt(1008) + 1*(-1 + sqrt(1008))**2)*5 - -1*(sqrt(1008) + -5 + sqrt(1008))*-2*5. -180*sqrt(7) + 5105 Simplify ((sqrt(440)*-3)/sqrt(8))/(sqrt(11) + -1*sqrt(11)*-5) + 3*((sqrt(80)/sqrt(2))/sqrt(8) + -4 + sqrt(25)/sqrt(5)). -12 + 11*sqrt(5)/2 Simplify (sqrt(112) + (sqrt(112) + -2)*2 + -2)**2 + 1 + (4 + sqrt(112)*1 + 0 + -5)**2. -152*sqrt(7) + 1158 Simplify (2*(5 + (sqrt(200)*1)**2) + (-5 + ((sqrt(4) - (sqrt(4) + sqrt(36) + sqrt(4) - sqrt(4)))/sqrt(2) - (sqrt(50)*-2 + sqrt(50))))**2)*-2. -886 + 40*sqrt(2) Simplify ((1 + sqrt(720) + -5 + -3)*2 + (sqrt(720) + ((sqrt(720) + 0)*5 - sqrt(720)))*3*2)**2. -10752*sqrt(5) + 737476 Simplify -5 + ((3*sqrt(245)*4 + -1)**2 - (5*(sqrt(245) - (-2 + sqrt(245)))*-5)**2). -168*sqrt(5) + 32776 Simplify (-1*sqrt(972))/(sqrt(196)*-2) + ((sqrt(972) + 1)*5 + (sqrt(972) - (sqrt(972) + sqrt(972)*2)) + 0)**2. 7569*sqrt(3)/14 + 8773 Simplify (-2*sqrt(832) - sqrt(52) - (sqrt(52) + sqrt(312)/sqrt(6)*-6))/((sqrt(144) - -5*sqrt(144)*2)*-4). sqrt(13)/66 Simplify -5 + -3 + -2*(5*1*(sqrt(637) + 1))**2*-4*-6. -765608 - 16800*sqrt(13) Simplify (2*(sqrt(76) + sqrt(76) + -5*(sqrt(76) + sqrt(76)*-1) + sqrt(76))*-1)/(-3*(sqrt(64) - (sqrt(64)*1 - sqrt(64)))*-2). -sqrt(19)/4 Simplify (-5*(sqrt(5445) - (sqrt(5445) + -3*sqrt(5445)*-4 - sqrt(5445))))/((sqrt(36)/sqrt(4)*6 - 1*sqrt(144))*-3). -605*sqrt(5)/6 Simplify (5 + (sqrt(704) + -1 + sqrt(704))*1 + sqrt(99)/sqrt(9) + 5 + sqrt(11) + sqrt(11) + sqrt(77)/(sqrt(56)/sqrt(8)))**2. 360*sqrt(11) + 4481 Simplify (-3*(-1 + (5 + (sqrt(2) - (sqrt(2) + 0)))*4 - (-3 + sqrt(288) + 1*sqrt(288)*-1 + sqrt(288) + sqrt(288))))**2. -9504*sqrt(2) + 14724 Simplify (-1*1*((sqrt(1900) - ((sqrt(1900) + -1 - sqrt(1900)) + -5)) + sqrt(1900))*-2*4*-5)**2. 384000*sqrt(19) + 12217600 Simplify ((5 + sqrt(5808) + 1 + 3)**2 + (sqrt(5808) - -1*-2*sqrt(5808) - (sqrt(5808) + (sqrt(5808)*-2)**2*4)))*-6. -4224*sqrt(3) + 522234 Simplify (0 + (sqrt(637) - (sqrt(637) + -1 + 2) - (sqrt(637) + sqrt(637) + -3 + -5)) + -2 + 3)**2. -224*sqrt(13) + 2612 Simplify (-5*(-5*1*sqrt(78) - (sqrt(78) + 2*-2*sqrt(78))))/(1*sqrt(6534)*-4). -5*sqrt(13)/66 Simplify 4 + -2*((-2 + sqrt(245) + -1 + 1)**2 - (-2*(sqrt(245) + 0 + sqrt(245)) + sqrt(245) + 1 + 4)). -484 + 14*sqrt(5) Simplify (-5 + (0 + ((sqrt(432) - (1 + sqrt(432) + sqrt(432)))*-3 - (sqrt(432) + -1)*-3))*6 + -4 + -3)**2. -10368*sqrt(3) + 560016 Simplify ((sqrt(330) - (sqrt(330) + 2*sqrt(330) + sqrt(330))*-2)/(sqrt(50)/sqrt(80)))/(4*sqrt(363) + sqrt(36)/(sqrt(84)/sqrt(7)) + sqrt(3)). 18*sqrt(11)/23 Simplify (((sqrt(50) - sqrt(2)) + -4 - sqrt(16)/(sqrt(48)/sqrt(6)))*6)**2 + -5 + -5. -864*sqrt(2) + 1214 Simplify -1 + ((-3*-1*sqrt(360))/(sqrt(32)*1))/((-3*1*sqrt(9) + (sqrt(72) - (sqrt(72) + sqrt(72)*-1 + sqrt(72)))/sqrt(8))*-3). -1 + sqrt(5)/6 Simplify (((sqrt(343) + sqrt(343)*-1 + sqrt(343) + 5)*1 + -5 + 2 + (sqrt(343) - (sqrt(343) + 1 - sqrt(343))))*-2)**2*-2. -10984 - 224*sqrt(7) Simplify (0 + (-2*sqrt(200)*-4)/(1*(1*sqrt(250) + sqrt(250) + sqrt(250))))**2 + 5 + -2. 391/45 Simplify -1 + (2*sqrt(50))**2*-6 - ((sqrt(128) - 3*sqrt(128))*-5 + ((sqrt(128) - sqrt(128)*2)*2)**2). -1713 - 80*sqrt(2) Simplify (-4*1*sqrt(504) + 2*sqrt(504)*2)/(6*((sq
{ "pile_set_name": "DM Mathematics" }
e (6 - 5) + (-1)/(-1). Is 9 a factor of (-116)/(-12) - a/3? True Is 4 a factor of (0 + -14)*(-66)/77? True Let c(t) = -4*t**2 + 1. Let y be c(1). Let b = 1 - y. Is (b*9)/((-3)/(-2)) a multiple of 12? True Suppose -4 = -0*d + 4*d. Let y = 8 - d. Is 3/y - 59/(-3) a multiple of 10? True Let i be (-5 + 21/6)/(6/(-16)). Let r be (1/1)/(2/64). Suppose i - r = -n. Is n a multiple of 14? True Let f(o) = -o**2 - 18*o - 14. Is f(-9) a multiple of 24? False Let o(c) = 10*c**3 + 5*c**2 + 5*c - 6. Let v(n) = 21*n**3 + 11*n**2 + 11*n - 13. Let q(r) = -13*o(r) + 6*v(r). Suppose -g + 4 = 5. Does 4 divide q(g)? True Let o = 1 + -3. Let w be (-121)/o + (-2)/4. Suppose 0 = -0*c + 2*c - w. Is 15 a factor of c? True Let h = 257 + -116. Is h a multiple of 28? False Let l(u) = -u - 10. Let z be l(-5). Let i = z - -14. Is i a multiple of 9? True Suppose 3*i = 5 + 4. Let b be (-1)/(2 - i/2). Does 16 divide (9/(-4))/(b/24)? False Let m(q) = -43*q**2 - q. Let a be m(1). Let b = a + 111. Suppose 3*t - 4*s = b, -7*t - 5*s + 14 = -5*t. Does 17 divide t? True Suppose -4*u - b = -5*b - 32, 3*u = -3*b + 18. Suppose 2*x + 102 = 4*n + u*x, -100 = -4*n - 4*x. Is 23 a factor of n? True Suppose -q + 16 = -2*o, 2*q = -2*o - q - 16. Does 14 divide (-270)/o + (-4)/(-16)? False Let c be (4 - 7) + 6*1. Let b(j) = 3*j**2 + 2*j - 4. Is b(c) a multiple of 29? True Let s(p) = -p**2 - 11*p + 9. Is s(-11) a multiple of 9? True Let u = 9 - -6. Suppose 29 = -4*k + 5*r, -r = -3*k - 0*r - 30. Let a = k + u. Does 2 divide a? True Let f = -7 + 3. Is 30/f*32/(-12) a multiple of 14? False Let f = -8 - -13. Suppose 0 = f*d - 8*d + 186. Is 19 a factor of d? False Let o(b) = -b**2 - 5 + 4 - 1 - 15*b. Is 14 a factor of o(-11)? True Suppose 3*r - 6*r = -v - 7, r = 5*v + 7. Suppose 5 + 3 = r*i. Suppose -10 - 50 = -i*q. Is 5 a factor of q? True Suppose -2*z + 6*z = 20. Suppose -12 + 37 = k + 2*n, -5*k - z*n + 105 = 0. Is k a multiple of 8? False Let k(a) = -9*a + 6*a + 4*a**2 + 3*a**2 + 3 - 4. Is 41 a factor of k(-4)? True Let u = -10 + 14. Let d = u + -2. Suppose -67 = -4*r + 3*k, -d*r - 5*k = -6*r + 61. Does 19 divide r? True Let g = -10 - -14. Is 4 a factor of g? True Let i = -13 - -57. Suppose 3*r + d - 44 = -r, 3*r - i = 2*d. Is r a multiple of 5? False Let y = 149 + -121. Does 7 divide y? True Let r = -8 - -14. Suppose -60 = r*x - 8*x. Is 30 a factor of x? True Is 21 a factor of 166/8 + (0 - (-4)/16)? True Is 14 a factor of (6/12)/(2/392)? True Suppose -2*s - 9 = -39. Does 15 divide s? True Let j be 724/12 + (-1)/3. Suppose 0 = 3*o - 5*l - j, -4*o + o - l = -42. Does 4 divide o? False Suppose -8*s + m = -3*s - 20, 20 = 5*s - 5*m. Is s/(-30) - 6752/(-240) a multiple of 14? True Let p(m) = m**2 - 6*m + 7. Let i be p(5). Let g be 1*-1*(i - 1). Is 11 a factor of -10*g/((-10)/(-24))? False Let l(q) = 3*q. Is l(2) a multiple of 2? True Let c(r) = r**2 + 5*r - 5. Let i be c(-6). Is (0 + i)*(6 + 13) a multiple of 5? False Let u = 2 - -11. Suppose 0 = 4*c - 5*c + u. Does 3 divide c? False Suppose -2*w + 191 = w - 5*c, -5*w + 3*c = -345. Is 8 a factor of w? True Does 7 divide 66/4 - 23/(-46)? False Suppose 3*x + x = -5*c + 73, 0 = 3*c + x - 48. Let u = -2 + c. Is u a multiple of 7? False Suppose 3*l - u = 220, 5*l + 4*u - 364 = 3*u. Does 29 divide l? False Let v(r) = -r**2 - 12*r - 11. Let c be -10 + 3 + -2 + -1. Does 9 divide v(c)? True Let u = -18 - -24. Does 2 divide u? True Suppose 112 + 104 = 9*x. Does 12 divide x? True Let u(p) = -5*p**3 - 7*p**2 + 17*p + 2. Let j(z) = z**3 - z + 1. Let a(m) = 4*j(m) + u(m). Does 17 divide a(-9)? True Let b(c) = 2*c**3 + 2*c**2. Is b(2) a multiple of 11? False Suppose -9 = f - 4*f. Let h be (32/(-12))/((-2)/f). Suppose -13 = -h*s + 7. Does 5 divide s? True Let d(m) = -12*m**3. Is d(-1) a multiple of 4? True Suppose 0 = -4*h - 10 + 30. Suppose 5*t = -3*s - 2*s + 30, 2*t - h*s = -16. Is 2 a factor of t? True Suppose 22 = -2*c + 3*c. Does 11 divide c? True Let n(y) = y**3 + 2*y + 3. Let c(p) = p**2 + p + 1. Let g be c(-2). Is n(g) a multiple of 12? True Let y(u) be the third derivative of u**5/30 + 5*u**4/24 + u**3/3 + 4*u**2. Is y(-3) a multiple of 3? False Suppose 3*z + 7 + 8 = 0. Is 8/1 + (-3 - z) a multiple of 10? True Let k be 0 + (-3 - 2/1). Is 8 a factor of (-37)/k + (-3)/(-5)? True Let b be (-24)/20 + 1/5. Does 4 divide b/(-3) - (-56)/12? False Let f(d) = -d + 1. Let j be f(6). Let a(l) = -9*l + 6. Is 18 a factor of a(j)? False Let b(k) be the first derivative of k**3/3 - k**2 - 7*k + 3. Let t be b(6). Let v = t + -4. Is v a multiple of 5? False Let p(g) = g**3 + 6*g**2 - 10*g + 2. Let d be p(-7). Let z = d + -14. Does 9 divide z? True Suppose 4*d + d + 300 = 0. Let a = d - -36. Let n = 8 - a. Is 16 a factor of n? True Suppose 0 = -5*s, -4*s + 221 + 607 = 3*x. Is x a multiple of 46? True Let t = 22 - 13. Is 2 a factor of t? False Let o(m) = m**2 + 7*m + 4. Let h be o(-6). Is 13 a factor of 49 - (-6 - h - -1)? True Suppose 629 - 129 = 4*y. Is 25 a factor of y? True Let q be 20/11 - (-2)/11. Suppose q*l + 0*l = 8. Suppose -4*s + 1 = -c, -l*c + 0*c + 29 = -5*s. Is c a multiple of 4? False Suppose -5*i - 5*a + 95 = 0, a + 13 = 2*i - 13. Does 8 divide i? False Suppose 2968 = 4*x + 10*x. Is 53 a factor of x? True Let m = -37 + 62. Does 25 divide m? True Let u(q) = q**3 - 8*q**2 - 7*q - 13. Let h be u(9). Suppose 3*c + h = -4*l + 4*c, c = -2*l - 7. Is (-16)/(-6) + l/3 a multiple of 2? True Let l(z) = 5*z**2 + 5*z + 21. Does 29 divide l(-6)? False Let y be 0 + -3 - (-30)/1. Let j = y + -13. Is 7 a factor of j? True Suppose 0 = 7*a - a - 276. Does 27 divide a? False Let p = -3 + -1. Let u = p + 6. Suppose -j + 6 = u*t + j, 5*t - 24 = 4*j. Is 3 a factor of t? False Let f(k) = k**3 + k**2 + k + 56. Does 50 divide f(0)? False Suppose 0 = z + 3 - 6. Let r be ((-8)/(-10))/((-4)/(-460)). Suppose -g + r = z*g. Does 14 divide g? False Let i be -3 + (-32 + -1)/(-3). Suppose i + 367 = 5*y. Is 15 a factor of y? True Let d(z) = z**2 + 10*z + 15. Let j be d(-12). Suppose -4*a = -2*w - a + 43, 3*w + 4*a = j. Does 12 divide w? False Let f = -79 - -55. Is 5 - 7 - (f - 1) a multiple of 10? False Suppose -5*d = -124 - 176. Suppose 0*h = 3*h + 3*f - d, -3*h = -f - 68. Suppose -p - 5 = -5*v + 4*p, 0 = 4*v + 5*p - h. Is 2 a factor of v? False Suppose 4*z - 25 = -z. Let p = -5 - -53. Suppose 0 = -f - 2, -z*f + 2*f = -n + p. Is n a multiple of 21? True Suppose 0 = -0*l - 2*l + 8. Suppose 4*x = l*p + p - 18, 3*p + 4*x = -2. Is p even? True Let g(d) = -d**2 - 7*d - 8. Let u be g(-4). Suppose 2*h = -5*p + 256, u*p = -3*h - 2*h + 215. Is p a multiple of 24? False Let k be 498/5 - 8/(-20). Suppose 2*f - 28 - k = 0. Is 23 a factor of f? False Let v be (2/2)/(2/134). Let s = v + -14. Does 15 divide s? False Let l(i) = -i**2 - 11*i - 8. Let a = 0 - 6. Is 11 a factor of l(a)? True Let j be (3 + 4/(-1))*-17. Let z = -7 + j. Does 3 divide z? False Does 4 divide ((-36)/14)/(-2*(-6)/(-84))? False Let p(o) = -o**2 + 8*o - 8. Suppose 0 = -3*j - f + 20 - 1, 5*f = j - 1. Let u be p(j). Suppose b - u = 5. Is 4 a factor of b? False Is 9 a factor of (-266)/(-30) - (-2)/15? True Let a(m) = -65*m**3 + 2*m**2 - 1. Is 22 a factor of a(-1)? True Suppose -2*s + 3 = -3*x, 25 = 5*s + 3*x + 7. Let v = s - -1. Suppose -71 = -v*z - h, 4*z + 40 = 6*z + 2*h. Is 8 a factor of z? False Let i be ((-2)/4)/(5/(-20)). Is 82*-1*(-1)/i a multiple of 19? False Suppose 9*j - 802 = -127. Is j a multiple of 15? True Let m be (2 + 0 - 2)/(-1). Suppose -2*g + 2*d - 30 = m, -3*d = -8*d. Is (-4)/((g/(-24))/(-5)) a multiple of 16? True Let u(t) = t**3 - 3*t**2 - 15*t + 7. Does 11 divide u(8)? False Let k(c) be the third derivative of c**6/120 + c**5/60 + c**4/24 + 7*c**3/6 + c**2. Is k(0) a multiple of 7? True Let v = 1 - 3. Let i = v + -79. Let t = i + 123. Does 21 divide t? True Let r = 149 - 59. Suppose 0 = -3*z + r + 3. Does 13 divide z? False Let v(z) = 2*z**2 - 8*z - 6. Let p be v(-6). Suppose -p - 50 = -4*a. Is a a multiple of 26? False Suppose -4*j = -7*j + 216. Is j a multiple of 8? True Suppose 4*a - 15 = a. Does 5 divide a? True Suppose -g + 28 = -164. Suppose 3*q + 0*q = g. Is q a multiple of 11? False Let z(q) = -q - 13. Is 6 a factor of z(-19)? True Let t(g) = g - 8. Let k be t(8). Let n be (-4 - -2) + k/2. Is 4 a factor of 9 +
{ "pile_set_name": "DM Mathematics" }
nd 1 k when two letters picked without replacement from {d: 5, q: 6, w: 1, k: 1, e: 1}? 1/91 What is prob of picking 4 i when four letters picked without replacement from {x: 1, i: 7, g: 1}? 5/18 Two letters picked without replacement from biziz. Give prob of picking 2 i. 1/10 Calculate prob of picking 1 r and 1 l when two letters picked without replacement from rrlrrlrrrrrlrllllrry. 42/95 What is prob of picking 1 h, 2 u, and 1 j when four letters picked without replacement from uhujhuhhuhuhuuhuhhu? 27/323 Calculate prob of picking 2 n and 1 l when three letters picked without replacement from eebklkln. 0 Four letters picked without replacement from {w: 2, g: 1, i: 1}. What is prob of picking 2 i and 2 w? 0 Two letters picked without replacement from oqfrzyq. Give prob of picking 2 q. 1/21 Calculate prob of picking 2 z when two letters picked without replacement from aaazaz. 1/15 Two letters picked without replacement from zkzuz. What is prob of picking 1 z and 1 k? 3/10 What is prob of picking 2 b and 1 w when three letters picked without replacement from wbbwwwbwwwwwwwwwwwww? 17/380 Four letters picked without replacement from oooooooooo. What is prob of picking 4 o? 1 Three letters picked without replacement from mamcmccchchaich. What is prob of picking 1 h and 2 m? 9/455 Three letters picked without replacement from ejyejyyhy. Give prob of picking 2 e and 1 j. 1/42 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, u: 2, j: 2}. 1/15 Four letters picked without replacement from {p: 1, e: 2, m: 9, k: 2}. What is prob of picking 1 p, 2 e, and 1 m? 9/1001 Three letters picked without replacement from {f: 7, m: 5}. What is prob of picking 1 f and 2 m? 7/22 Four letters picked without replacement from sffymsmmmffmmsf. Give prob of picking 2 f, 1 m, and 1 y. 4/91 What is prob of picking 2 d and 1 c when three letters picked without replacement from {i: 3, d: 3, c: 1}? 3/35 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {r: 12, u: 4, m: 3, n: 1}. 6/95 Three letters picked without replacement from rrhr. What is prob of picking 3 r? 1/4 Four letters picked without replacement from {l: 7, k: 4, d: 2}. Give prob of picking 1 d and 3 k. 8/715 Two letters picked without replacement from {p: 1, o: 2, y: 1, m: 5, r: 2, f: 2}. Give prob of picking 2 f. 1/78 Calculate prob of picking 2 m and 2 p when four letters picked without replacement from {p: 3, m: 3}. 3/5 Three letters picked without replacement from lplllllllllll. What is prob of picking 3 l? 10/13 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fffofyfyo. 5/18 Calculate prob of picking 1 x and 2 y when three letters picked without replacement from yyxxyhyx. 9/28 Calculate prob of picking 2 z when two letters picked without replacement from brsnrnzzjzzrzrs. 2/21 Three letters picked without replacement from {z: 18, j: 1}. What is prob of picking 3 z? 16/19 What is prob of picking 2 p when two letters picked without replacement from ipopp? 3/10 Calculate prob of picking 4 m when four letters picked without replacement from {e: 4, m: 16}. 364/969 Four letters picked without replacement from {n: 2, m: 3, g: 7, u: 5}. What is prob of picking 1 n, 2 m, and 1 u? 3/238 Calculate prob of picking 3 u when three letters picked without replacement from qqqquqqqqqqquqqqquu. 4/969 Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vhsfvsssssssssshvvs. 16/57 Three letters picked without replacement from yjjjsjjjyyjsjjjjjj. What is prob of picking 1 s, 1 j, and 1 y? 13/136 Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {h: 3, t: 1, a: 6, y: 3}. 15/286 Four letters picked without replacement from {j: 14, i: 4}. What is prob of picking 1 i and 3 j? 364/765 Three letters picked without replacement from {m: 1, x: 2, t: 1, l: 1, f: 4}. Give prob of picking 1 x, 1 l, and 1 m. 1/42 What is prob of picking 2 o when two letters picked without replacement from {s: 6, o: 7}? 7/26 Two letters picked without replacement from {h: 1, c: 2, q: 1, z: 2, t: 2}. What is prob of picking 2 t? 1/28 What is prob of picking 1 b and 1 i when two letters picked without replacement from {o: 2, i: 1, b: 4}? 4/21 Three letters picked without replacement from hyhyyyi. What is prob of picking 2 y and 1 i? 6/35 What is prob of picking 3 v when three letters picked without replacement from rvvrrvvbrborrr? 1/91 Three letters picked without replacement from fwlnwl. What is prob of picking 1 l, 1 n, and 1 f? 1/10 What is prob of picking 1 r and 1 h when two letters picked without replacement from xtfhrhc? 2/21 Three letters picked without replacement from {o: 8, t: 5}. What is prob of picking 3 o? 28/143 What is prob of picking 2 z, 1 b, and 1 y when four letters picked without replacement from {z: 4, b: 4, y: 3, t: 3, j: 3}? 18/595 Three letters picked without replacement from {g: 3, l: 11}. Give prob of picking 3 g. 1/364 What is prob of picking 1 m and 3 b when four letters picked without replacement from mzzumumrunnbumn? 0 Two letters picked without replacement from {c: 3, g: 5}. Give prob of picking 1 c and 1 g. 15/28 Two letters picked without replacement from {w: 1, i: 2, l: 1, e: 1}. What is prob of picking 1 l and 1 w? 1/10 Three letters picked without replacement from nnndnnnnnnnnn. What is prob of picking 3 n? 10/13 What is prob of picking 1 c, 2 w, and 1 y when four letters picked without replacement from swsscsssssyhhshws? 1/2380 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from itiiooitlvtu. 1/22 What is prob of picking 1 g and 1 u when two letters picked without replacement from uppguzugpopgup? 12/91 Calculate prob of picking 4 g when four letters picked without replacement from ggggoo. 1/15 What is prob of picking 2 g when two letters picked without replacement from tbgbugtgtpgeept? 2/35 Four letters picked without replacement from mnttdmmntn. Give prob of picking 1 t, 1 d, and 2 n. 3/70 Three letters picked without replacement from yyckyktkstcckkyy. Give prob of picking 1 t and 2 c. 3/280 Four letters picked without replacement from qdxqwtqtdxwdqddqddd. What is prob of picking 1 d, 2 q, and 1 t? 40/969 What is prob of picking 2 g and 1 d when three letters picked without replacement from gwwzdzgzwgdagdgdzaz? 40/969 Four letters picked without replacement from ssdlslsipd. What is prob of picking 1 d, 1 i, and 2 l? 1/105 Four letters picked without replacement from {l: 2, p: 1, r: 8, b: 5}. What is prob of picking 4 r? 1/26 Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {r: 2, v: 3, k: 2, q: 1, s: 2, j: 2}. 3/110 What is prob of picking 2 b and 1 e when three letters picked without replacement from {e: 2, b: 18}? 51/190 Calculate prob of picking 1 h, 1 z, and 1 y when three letters picked without replacement from {y: 3, h: 1, n: 5, z: 3}. 9/220 Two letters picked without replacement from {w: 1, g: 1, x: 1, a: 1, r: 1}. What is prob of picking 1 x and 1 a? 1/10 Three letters picked without replacement from jjjdd. Give prob of picking 1 j and 2 d. 3/10 What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 8, s: 5}? 20/39 Calculate prob of picking 3 u when three letters picked without replacement from {u: 5}. 1 Three letters picked without replacement from aoeypaeaeyaeoav. What is prob of picking 1 p, 1 e, and 1 y? 8/455 Four letters picked without replacement from mjdvmuv. What is prob of picking 2 v, 1 u, and 1 d? 1/35 Four letters picked without replacement from fasfabwc. Give prob of picking 1 b, 2 w, and 1 a. 0 What is prob of picking 3 k when three letters picked without replacement from {k: 10}? 1 Four letters picked without replacement from {s: 1, p: 2, r: 2, q: 1, w: 1, u: 2}. What is prob of picking 1 s, 1 w, 1 r, and 1 u? 2/63 Calculate prob of picking 3 h when three letters picked without replacement from {h: 7, x: 6}. 35/286 Calculate prob of picking 3 b when three letters picked without replacement from {x: 2, b: 6}. 5/14 Four letters picked without replacement from {e: 1, u: 1, j: 3, t: 9}. Give prob of picking 3 t a
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of 2028? 0 What is the thousands digit of 4705? 4 What is the units digit of 15018? 8 What is the tens digit of 16999? 9 What is the tens digit of 3299? 9 What is the thousands digit of 8952? 8 What is the tens digit of 3630? 3 What is the tens digit of 14669? 6 What is the thousands digit of 60077? 0 What is the units digit of 7546? 6 What is the hundreds digit of 2084? 0 What is the hundreds digit of 8201? 2 What is the tens digit of 1793? 9 What is the hundreds digit of 378? 3 What is the tens digit of 49017? 1 What is the hundreds digit of 7016? 0 What is the tens digit of 342? 4 What is the tens digit of 5395? 9 What is the thousands digit of 19207? 9 What is the tens digit of 839? 3 What is the units digit of 453? 3 What is the tens digit of 2414? 1 What is the thousands digit of 2298? 2 What is the hundreds digit of 11207? 2 What is the hundreds digit of 4010? 0 What is the hundreds digit of 8087? 0 What is the ten thousands digit of 22453? 2 What is the thousands digit of 69806? 9 What is the thousands digit of 16567? 6 What is the ten thousands digit of 12601? 1 What is the thousands digit of 2862? 2 What is the tens digit of 370? 7 What is the tens digit of 3739? 3 What is the tens digit of 761? 6 What is the hundred thousands digit of 159296? 1 What is the hundreds digit of 2431? 4 What is the units digit of 6188? 8 What is the units digit of 26533? 3 What is the thousands digit of 7014? 7 What is the thousands digit of 4336? 4 What is the hundreds digit of 3913? 9 What is the ten thousands digit of 43771? 4 What is the tens digit of 1016? 1 What is the tens digit of 8196? 9 What is the units digit of 546? 6 What is the hundreds digit of 852? 8 What is the tens digit of 8410? 1 What is the units digit of 28080? 0 What is the thousands digit of 81261? 1 What is the hundreds digit of 997? 9 What is the hundreds digit of 17082? 0 What is the hundreds digit of 368? 3 What is the tens digit of 7311? 1 What is the units digit of 16640? 0 What is the hundreds digit of 1392? 3 What is the units digit of 1342? 2 What is the tens digit of 2357? 5 What is the tens digit of 5257? 5 What is the tens digit of 1667? 6 What is the tens digit of 394? 9 What is the hundreds digit of 36963? 9 What is the tens digit of 60503? 0 What is the ten thousands digit of 48852? 4 What is the tens digit of 58? 5 What is the hundreds digit of 1443? 4 What is the units digit of 992? 2 What is the tens digit of 4284? 8 What is the hundreds digit of 8227? 2 What is the thousands digit of 70412? 0 What is the thousands digit of 2573? 2 What is the hundreds digit of 33065? 0 What is the hundreds digit of 498? 4 What is the tens digit of 187186? 8 What is the units digit of 179268? 8 What is the units digit of 39015? 5 What is the units digit of 2709? 9 What is the hundreds digit of 32122? 1 What is the tens digit of 42338? 3 What is the units digit of 241? 1 What is the ten thousands digit of 15914? 1 What is the hundreds digit of 11724? 7 What is the tens digit of 6040? 4 What is the thousands digit of 37921? 7 What is the hundreds digit of 620? 6 What is the hundreds digit of 745? 7 What is the thousands digit of 21358? 1 What is the units digit of 25628? 8 What is the tens digit of 21063? 6 What is the tens digit of 3290? 9 What is the tens digit of 84? 8 What is the tens digit of 6059? 5 What is the tens digit of 468? 6 What is the tens digit of 89204? 0 What is the hundreds digit of 5955? 9 What is the hundreds digit of 62546? 5 What is the units digit of 18173? 3 What is the hundreds digit of 46265? 2 What is the tens digit of 26838? 3 What is the ten thousands digit of 12806? 1 What is the thousands digit of 2766? 2 What is the hundreds digit of 57524? 5 What is the hundreds digit of 5648? 6 What is the hundreds digit of 2018? 0 What is the ten thousands digit of 100411? 0 What is the tens digit of 4990? 9 What is the units digit of 11842? 2 What is the tens digit of 808? 0 What is the units digit of 4314? 4 What is the thousands digit of 2054? 2 What is the hundreds digit of 554? 5 What is the hundreds digit of 38438? 4 What is the tens digit of 719? 1 What is the units digit of 6380? 0 What is the units digit of 109126? 6 What is the thousands digit of 166431? 6 What is the hundreds digit of 3700? 7 What is the units digit of 5335? 5 What is the tens digit of 34223? 2 What is the ten thousands digit of 11932? 1 What is the tens digit of 178? 7 What is the hundreds digit of 89893? 8 What is the tens digit of 2139? 3 What is the hundreds digit of 837? 8 What is the hundreds digit of 3313? 3 What is the units digit of 297? 7 What is the units digit of 35642? 2 What is the hundreds digit of 45867? 8 What is the hundreds digit of 2542? 5 What is the tens digit of 1649? 4 What is the ten thousands digit of 37391? 3 What is the units digit of 1304? 4 What is the tens digit of 46609? 0 What is the tens digit of 276? 7 What is the tens digit of 945? 4 What is the ten thousands digit of 62124? 6 What is the tens digit of 5674? 7 What is the hundreds digit of 9218? 2 What is the units digit of 493? 3 What is the tens digit of 14610? 1 What is the hundreds digit of 893? 8 What is the thousands digit of 27037? 7 What is the hundreds digit of 3536? 5 What is the thousands digit of 54427? 4 What is the thousands digit of 22905? 2 What is the units digit of 1076? 6 What is the hundreds digit of 483? 4 What is the hundreds digit of 1430? 4 What is the thousands digit of 1834? 1 What is the ten thousands digit of 89987? 8 What is the hundreds digit of 1758? 7 What is the ten thousands digit of 51668? 5 What is the thousands digit of 6504? 6 What is the units digit of 19433? 3 What is the tens digit of 131322? 2 What is the tens digit of 180? 8 What is the thousands digit of 2097? 2 What is the thousands digit of 2850? 2 What is the thousands digit of 75724? 5 What is the hundreds digit of 12692? 6 What is the ten thousands digit of 10449? 1 What is the hundreds digit of 6885? 8 What is the ten thousands digit of 23385? 2 What is the units digit of 2453? 3 What is the hundreds digit of 52423? 4 What is the hundreds digit of 1057? 0 What is the thousands digit of 70475? 0 What is the hundreds digit of 5368? 3 What is the tens digit of 3423? 2 What is the ten thousands digit of 18568? 1 What is the ten thousands digit of 41560? 4 What is the units digit of 69956? 6 What is the units digit of 5110? 0 What is the units digit of 1372? 2 What is the thousands digit of 2000? 2 What is the units digit of 11305? 5 What is the tens digit of 3975? 7 What is the thousands digit of 48797? 8 What is the hundreds digit of 4175? 1 What is the hundreds digit of 36166? 1 What is the tens digit of 18176? 7 What is the units digit of 72? 2 What is the units digit of 36308? 8 What is the ten thousands digit of 21290? 2 What is the thousands digit of 2210? 2 What is the units digit of 19390? 0 What is the thousands digit of 3407? 3 What is the tens digit of 5951? 5 What is the units digit of 5008? 8 What is the tens digit of 6653? 5 What is the tens digit of 432? 3 What is the units digit of 282? 2 What is the units digit of 59475? 5 What is the tens digit of 7042? 4 What is the tens digit of 520? 2 What is the thousands digit of 1491? 1 What is the tens digit of 444? 4 What is the hundreds digit of 12071? 0 What is the tens digit of 449? 4 What is the hundreds digit of 6434? 4 What is the thousands digit of 9261? 9 What is the ten thousands digit of 134445? 3 What is the hundred thousands digit of 132531? 1 What is the hundreds digit of 9906? 9 What is the units digit of 7? 7 What is the tens digit of 1284? 8 What is the units digit of 12809? 9 What is the ten thousands digit of 28154? 2 What is the tens digit of 1064? 6 What is the hundreds digit of 5148? 1 What is the units digit of 252? 2 What is the tens digit of 320? 2 What is the units digit of 449? 9 What is the units digit of 1366? 6 What is the hundreds digit of 85292? 2 What is the hundreds digit of 2322? 3 What is the tens digit of 2410? 1 What is the units digit of 6748? 8 What is the hundreds digit of 3066? 0 What is the tens digit of 13392? 9 What is the thousands digit of 60657? 0 What is the thousands digi
{ "pile_set_name": "DM Mathematics" }
m gkokogiiogsgsy. What is prob of picking 2 i and 1 g? 1/91 What is prob of picking 1 z and 1 s when two letters picked without replacement from {x: 1, k: 1, z: 6, s: 1, a: 5}? 6/91 Two letters picked without replacement from lllhhlloh. What is prob of picking 1 l and 1 o? 5/36 Four letters picked without replacement from {x: 2, e: 1, d: 1, l: 2, p: 1}. Give prob of picking 1 p, 1 l, 1 e, and 1 d. 2/35 Two letters picked without replacement from rrooroervofoerorle. Give prob of picking 1 v and 1 f. 1/153 What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmmmmjmmmmmmm? 17/19 Three letters picked without replacement from llsslslslssl. Give prob of picking 1 l and 2 s. 9/22 Two letters picked without replacement from {p: 4, l: 1, m: 2, g: 2, s: 1}. What is prob of picking 1 p and 1 m? 8/45 Calculate prob of picking 2 c when two letters picked without replacement from sscssscssfxcsxsssss. 1/57 Two letters picked without replacement from {p: 2, o: 2, z: 5, m: 9}. What is prob of picking 2 m? 4/17 Two letters picked without replacement from {e: 1, f: 2, m: 1}. What is prob of picking 1 m and 1 f? 1/3 Calculate prob of picking 2 d, 1 s, and 1 e when four letters picked without replacement from deeeesd. 4/35 Three letters picked without replacement from {m: 4}. What is prob of picking 3 m? 1 Two letters picked without replacement from {h: 5, l: 11}. Give prob of picking 2 h. 1/12 Calculate prob of picking 2 r, 1 h, and 1 l when four letters picked without replacement from {l: 1, r: 7, h: 1}. 1/6 Calculate prob of picking 2 x and 2 a when four letters picked without replacement from kkxxxsxavkaxksvkxxxx. 12/1615 Calculate prob of picking 2 j when two letters picked without replacement from {v: 1, e: 3, j: 1}. 0 Calculate prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from fffihiffihffifif. 9/56 Four letters picked without replacement from {f: 9, q: 5}. Give prob of picking 4 q. 5/1001 Two letters picked without replacement from aobreuba. What is prob of picking 1 u and 1 e? 1/28 What is prob of picking 2 y when two letters picked without replacement from {q: 4, y: 2, c: 10}? 1/120 What is prob of picking 2 l and 2 x when four letters picked without replacement from {x: 13, g: 1, l: 1}? 0 Calculate prob of picking 4 b when four letters picked without replacement from {f: 4, i: 3, b: 1, c: 6}. 0 Calculate prob of picking 1 k, 2 x, and 1 e when four letters picked without replacement from kxxxkxxeexx. 14/55 What is prob of picking 1 x and 3 h when four letters picked without replacement from xhhhxhhnhhnxcnchnh? 7/85 Four letters picked without replacement from dqlgfduq. What is prob of picking 1 f, 1 q, 1 u, and 1 d? 2/35 Three letters picked without replacement from {z: 2, f: 8}. What is prob of picking 2 f and 1 z? 7/15 Three letters picked without replacement from kdkjdkkkkk. Give prob of picking 1 j and 2 d. 1/120 Two letters picked without replacement from {w: 8, r: 2, s: 5, e: 1, n: 2}. Give prob of picking 1 e and 1 w. 8/153 What is prob of picking 4 k when four letters picked without replacement from {j: 1, k: 7}? 1/2 Calculate prob of picking 1 j, 1 t, and 1 i when three letters picked without replacement from {z: 7, t: 4, h: 2, i: 5, d: 1, j: 1}. 1/57 Three letters picked without replacement from {a: 1, d: 3, m: 1, t: 2, x: 4, v: 4}. What is prob of picking 2 m and 1 x? 0 Two letters picked without replacement from wuwfjwwj. Give prob of picking 1 f and 1 w. 1/7 What is prob of picking 1 x and 2 l when three letters picked without replacement from {j: 2, s: 3, a: 1, q: 1, x: 1, l: 5}? 5/143 Four letters picked without replacement from {f: 1, b: 1, l: 9, x: 5}. Give prob of picking 4 l. 9/130 Three letters picked without replacement from jrjjrjrrrjrrjjrrjjr. Give prob of picking 1 j and 2 r. 135/323 Four letters picked without replacement from {h: 4, g: 1, b: 6}. Give prob of picking 1 g and 3 b. 2/33 Calculate prob of picking 2 a and 2 r when four letters picked without replacement from {r: 2, a: 8, n: 2}. 28/495 Four letters picked without replacement from {d: 7}. Give prob of picking 4 d. 1 What is prob of picking 1 c and 1 x when two letters picked without replacement from {b: 1, o: 2, c: 1, d: 2, x: 1}? 1/21 Two letters picked without replacement from {r: 1, o: 3, j: 7, a: 1, g: 1}. Give prob of picking 1 a and 1 r. 1/78 Three letters picked without replacement from ypymypmmkyyykmmykkk. What is prob of picking 1 k and 2 p? 5/969 Calculate prob of picking 1 y, 2 i, and 1 v when four letters picked without replacement from {y: 1, l: 7, i: 5, x: 1, v: 1}. 2/273 Four letters picked without replacement from {q: 6, h: 1, z: 3, s: 2, w: 2}. What is prob of picking 2 w and 2 z? 3/1001 Calculate prob of picking 2 l when two letters picked without replacement from hhhlhhlhhllhhhhhhl. 10/153 Three letters picked without replacement from mpmmmpm. Give prob of picking 1 p and 2 m. 4/7 Calculate prob of picking 4 x when four letters picked without replacement from xxcrcxxxxx. 1/6 Calculate prob of picking 2 l and 1 w when three letters picked without replacement from lwbawbllabl. 4/55 Three letters picked without replacement from lycycsx. What is prob of picking 1 x, 1 c, and 1 s? 2/35 Two letters picked without replacement from ujmmlmvmlm. Give prob of picking 1 j and 1 m. 1/9 What is prob of picking 1 p and 1 b when two letters picked without replacement from ziibbibbliizipbibi? 2/51 Three letters picked without replacement from {x: 1, v: 3, y: 3, n: 1, f: 1, c: 5}. Give prob of picking 2 y and 1 n. 3/364 Two letters picked without replacement from {q: 6, y: 4, h: 2}. Give prob of picking 1 h and 1 y. 4/33 Three letters picked without replacement from wnwwqnnqnqwn. Give prob of picking 1 n and 2 w. 3/22 Four letters picked without replacement from eteeeeteeeet. What is prob of picking 3 e and 1 t? 28/55 Calculate prob of picking 3 r when three letters picked without replacement from dddrrddddrddrddddddd. 1/285 What is prob of picking 3 w when three letters picked without replacement from uuuwuuuuwuuuwu? 1/364 Three letters picked without replacement from littltpppt. What is prob of picking 2 p and 1 i? 1/40 Calculate prob of picking 1 j, 1 n, 1 l, and 1 m when four letters picked without replacement from {j: 4, m: 5, n: 1, l: 5, y: 4}. 25/969 Two letters picked without replacement from gmmrcmgcjcm. Give prob of picking 2 c. 3/55 Two letters picked without replacement from {u: 14, r: 5}. Give prob of picking 1 u and 1 r. 70/171 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {r: 2, k: 4, i: 3, e: 1, g: 2}. 2/33 Three letters picked without replacement from wmljlvlvjvll. What is prob of picking 1 w and 2 j? 1/220 Two letters picked without replacement from aakaaakakaaaaaaaaa. Give prob of picking 2 k. 1/51 Three letters picked without replacement from {v: 7, d: 9}. What is prob of picking 2 v and 1 d? 27/80 Two letters picked without replacement from mmmmmmmmummmmmmmmm. Give prob of picking 1 u and 1 m. 1/9 Two letters picked without replacement from {e: 3, c: 1, l: 2, k: 1, d: 4}. What is prob of picking 1 c and 1 k? 1/55 Two letters picked without replacement from {g: 6, e: 12}. What is prob of picking 1 g and 1 e? 8/17 Four letters picked without replacement from {w: 1, j: 1, n: 1, y: 2, a: 4}. What is prob of picking 1 j and 3 w? 0 Two letters picked without replacement from isvzp. Give prob of picking 1 z and 1 i. 1/10 Four letters picked without replacement from ysdsqdqqqndyqdlqqldl. What is prob of picking 1 s, 1 n, 1 y, and 1 d? 4/969 Four letters picked without replacement from {z: 4, x: 5, w: 5}. Give prob of picking 3 x and 1 z. 40/1001 Three letters picked without replacement from ddnvvvcvnvcvnnvcnc. Give prob of picking 1 n, 1 d, and 1 c. 5/102 Four letters picked without replacement from {k: 6, t: 2, f: 1, w: 2}. Give prob of picking 4 k. 1/22 Four letters picked without replacement from {t: 5, e: 5}. Give prob of picking 4 e. 1/42 Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {o: 4, q: 7, n: 2, g: 5, e: 2}. 7/95 Calculate prob of picking 1 u, 2 e, and 1 a when four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
)/6)/(15/(-18)). Let f be (2/35)/(a/(-10)). Let s = 4 + -7. Sort f, s, -0.3. s, -0.3, f Let g = -13 + 12.6. Let u = -38 + 61. Suppose 4*o + 3*r = u, -2*o = -2*r - 7 - 1. Sort 0.2, g, o in ascending order. g, 0.2, o Let i(z) = z**3 + 4*z**2. Let j be i(-4). Let p be 0 + (-4)/(-8) - 25/10. Sort j, p, 1. p, j, 1 Suppose 4*s = 7 + 9. Suppose 59 = -3*d + 53. Put d, 2, s in decreasing order. s, 2, d Let c = 6 - 9. Let f be (-3)/(-5) - 1/1. Sort -2/3, c, f in increasing order. c, -2/3, f Let a be ((-1)/3)/(3/(-27)). Suppose -9 = f - a*t, -t = -3*f - 5 - 6. Suppose 4*y = 4*w - 16, 11 = 2*w - 9*y + 4*y. Sort w, f, -5 in ascending order. -5, f, w Let s = -0.008 + -42.992. Let m = -45.04 - s. Let v = m + 0.04. Sort v, -5, -2/5 in increasing order. -5, v, -2/5 Suppose -2*m - 7 = 23. Put m, 5, -3 in ascending order. m, -3, 5 Suppose -3*o + 7*o + 4 = 0, -3 = 4*p + 3*o. Let k = -4.08 + 0.08. Let l = -3.7 - k. Put p, l, 0.5 in descending order. 0.5, l, p Suppose -142*n - 20 = -146*n. Suppose 9 = -3*i + 21. Sort -7, i, n in decreasing order. n, i, -7 Let d be 42/(-10) - (-6 - -2). Sort d, 13, -1. -1, d, 13 Let r = 0.4 - -4.6. Let k = -1.7 + -2.3. Put k, r, 0.4 in ascending order. k, 0.4, r Let l = -18 + -1. Put l, 1, 0 in decreasing order. 1, 0, l Suppose -4*l = -2*l - 2. Suppose -2*q = -2*z + 2, 0*q = -4*z + q + l. Sort z, -2, 5 in increasing order. -2, z, 5 Let u = -111 - -113. Sort 2/5, u, -0.02 in ascending order. -0.02, 2/5, u Let q = 3776091/7592 + -12921/26. Let l = 3/73 - q. Sort -5, -1, l in decreasing order. l, -1, -5 Let b = -2.35 - -0.4. Let h = -0.05 + b. Let u = 0.4 - 0. Sort h, u, 2/7 in ascending order. h, 2/7, u Suppose f - 3*f = 0. Sort f, 3, 13 in decreasing order. 13, 3, f Suppose 3*r = 4*r. Let q be (r/(-1) - 2) + 5. Suppose -q*z + 4*i - 9 + 25 = 0, -5*z + 19 = i. Sort 0, -4, z in descending order. z, 0, -4 Suppose 5*f = 18 - 43. Sort f, 2, 3, -2 in decreasing order. 3, 2, -2, f Suppose 9*x = 6*x. Sort x, -5, -6. -6, -5, x Suppose b - 10 = -3*c, 0 = 2*b + 14 - 4. Suppose 0 = -2*j - 5*a + 17, 3*j + 3*a + 22 = c*a. Sort j, -1, 3. j, -1, 3 Suppose -w + 6*w = 10. Suppose -i + 4*r - 13 = 0, -4*i - 2*r + 6 = 22. Sort 4, w, i. i, w, 4 Let n = 273 + -272. Suppose -2*u - 3*g - 29 = 0, -5*u - 66 = 3*g - 7. Sort -2, n, u in ascending order. u, -2, n Let f(a) = a**2 - 4*a - 4. Let o be f(5). Put o, -5, -4 in descending order. o, -4, -5 Suppose -1 - 18 = -z + 4*m, -5*z - 2*m = -7. Sort -5, z, -14 in increasing order. -14, -5, z Let z = 9 + -8.4. Let q = 0.5 - z. Sort q, -4, 2 in decreasing order. 2, q, -4 Let n(i) be the first derivative of -i**4/4 + i**2 + i + 4. Let k be n(2). Let h be -2 + (1 - 0) - -4. Sort k, 4, h in decreasing order. 4, h, k Suppose 5*w = 4*m - m + 10, 3*m = -4*w + 8. Suppose 4*c = 3*c - 30. Let j be 1/(-2)*c/3. Sort 0, j, w in descending order. j, w, 0 Let f = -26 - -25. Sort 4, 5, f in increasing order. f, 4, 5 Suppose 0 = -2*j - 3*r - 10, 3*r = 5*r + 8. Let s be (-2)/(-12)*(3 - j). Let b be 9 + -10 - (-1 - -1). Put 5, b, s in increasing order. b, s, 5 Let l = -5.34 + 0.34. Let k = 2 - 4. Sort k, l, 1/3 in ascending order. l, k, 1/3 Suppose -5*h + 23 = 3. Put -1/3, h, 2 in increasing order. -1/3, 2, h Let f = 4 + -7. Let a = -2/245 + -68/245. Let b = 6.2 - 6. Sort b, a, f in decreasing order. b, a, f Let k = -1 - -1. Suppose -12 = -4*v + 2*c + 14, -2*c = 5*v - 19. Sort -5, k, v in decreasing order. v, k, -5 Suppose 0 = -4*j - 5*v - 11, -4*v = -3*j - 3*v + 6. Sort j, -2/9, -2/13 in ascending order. -2/9, -2/13, j Let m be -60*(-2 - (-4 + 1)). Let n be 2/(m/27 + 2). Let c be (3/n)/((-2)/24). Sort c, -3, -5 in ascending order. -5, -3, c Let v = -17 - -12. Sort v, 6, 3. v, 3, 6 Let p = -0.07 - 0.13. Let x = -401/763 - 5/109. Put x, p, 5 in decreasing order. 5, p, x Let i(c) = -c - 1. Suppose -2*p + 2 = -4. Suppose 4*m - p*m = 4. Let v be i(m). Sort 5, 2, v in descending order. 5, 2, v Suppose 0 = -3*i + 2*p + 6, -4*i = -0*p - p - 13. Let o = 1 + i. Suppose 0 = 4*v + 2*u - 26, 19 = 4*v - 2*u + o. Sort -3, v, -5 in ascending order. -5, -3, v Suppose -5*m - 3*d = -2*d + 125, 4*d + 84 = -4*m. Sort 5, m, -2. m, -2, 5 Let v(q) = -q**2 - 9*q - 15. Let x be v(-6). Sort 2, x, -2/15 in descending order. x, 2, -2/15 Suppose -5*q + 117 = 2*i, 7*i - 3*i - q = 179. Let w be i/10 + 6/15. Sort 0, w, -5. -5, 0, w Suppose -3*f - 5*m + 3 = f, 5*f + 3*m + 6 = 0. Sort 1, f, 3 in decreasing order. 3, 1, f Let s = -4 - -2. Let g = -12 + 27. Let i be 3/g - 48/15. Sort s, i, 1 in ascending order. i, s, 1 Let c(f) = f**3 - 2*f - 1. Let j be c(2). Suppose -5*i + 2*t + 6 = 0, j*t = -2 - 7. Sort i, -0.5, 3. -0.5, i, 3 Let q = -8 - -12. Suppose 16 + 8 = 3*y - 3*l, y + 4*l = -7. Sort 9, y, q in descending order. 9, y, q Let g = 0.35 - 1.35. Put 0.1, g, 3 in descending order. 3, 0.1, g Suppose 2*d = -2*d. Suppose 5*k - 20 + 0 = d. Sort k, -1, -2. -2, -1, k Let v be (-8)/10*5/(-2). Suppose v*m = 5*h + 5, 4*m = -5*h - 37 + 2. Let p = 5 + -3. Put 4, p, m in increasing order. m, p, 4 Let g(s) = -s**2 - 3*s - 2. Let h be g(-2). Let q = 4.06 - 0.06. Let t = 0 + q. Put t, -3, h in decreasing order. t, h, -3 Let t be 1 + 1 + 76/(-32). Suppose 5*u - u = -8. Sort -5, t, u. -5, u, t Suppose -o = -3*z + 2, 0*o - 2*z + 7 = 5*o. Put -1, -3, o in decreasing order. o, -1, -3 Let m = 6 + -11. Suppose -5*s + 223 = 198. Sort m, 1, s in decreasing order. s, 1, m Let y = 3 + -3. Let u be (-10)/12 - 3/(-6). Let f = -1.96 + -0.04. Put y, f, u in descending order. y, u, f Let d = 1 - 1. Let g be (-2*3 + 3)/(3/3). Sort d, g, -1 in increasing order. g, -1, d Let j = 182 - 1272/7. Let i = 9/5 - 104/55. Let y = i - 9/22. Sort j, -2, y in decreasing order. j, y, -2 Let f = 4.9 + -5. Let t = -1.64 + 1.2. Let x = -0.04 - t. Sort f, x, 1 in ascending order. f, x, 1 Let m = -2/6425 - 726007/57825. Let d = 38/3 + m. Suppose 4*q = -5*v + 5, 1 = -2*v - 5. Sort q, -1/2, d. -1/2, d, q Let t = -83 - -87. Suppose -5*m + 4*x + 31 = 2, x = -2*m + 9. Sort -0.4, t, m in decreasing order. m, t, -0.4 Let i = 0 - 0.1. Let c = -2.9 + i. Let r = 6 + c. Sort r, -3/5, 0 in decreasing order. r, 0, -3/5 Let f(u) = -u**3 - 10*u**2 - u - 9. Let k be f(-10). Put k, -1, -3/2 in decreasing order. k, -1, -3/2 Let c be ((-1)/(-2))/(1/(240/6)). Put 0, 2, c in ascending order. 0, 2, c Let m = -1 - 1. Suppose 3 + 6 = 4*k - 5*h, 1 = -4*k + 3*h. Sort k, m, 0 in increasing order. k, m, 0 Let t be 1/(-2)*(15 - 3). Let g be (8/14)/(t/(-21)). Let p(o) = o**3 - 3*o**2 + 2*o. Let k be p(g). Put 3, k, -3 in ascending order. -3, k, 3 Suppose 4*g + 0*g + 4 = -5*d, 0 = -5*g + 2*d + 28. Suppose -g*r - 4*q = -36, -r - 3 = 3*q - 20. Put r, -3, -2 in decreasing order. r, -2, -3 Let r = 3 + -5. Let f be (-29)/(-9) - (r + 5). Let y be (-3)/9 - 4/6. Sort f, y, -1/8 in increasing order. y, -1/8, f Let g = -7 + 9. Suppose -s + g*s + 4 = 0. Sort 0, s, -5 in ascending order. -5, s, 0 Suppose -3 + 21 = 3*v. Let h = v + -3. Suppose -x = 2*u - 0*x - h, -5*u + 3*x = 20. Put u, 5, -5 in decreasing order. 5, u, -5 Let b = 89/92 + -5/23. Sort b, 2, 1. b, 1, 2 Suppose v + 2*c = -2 + 9, c = 2*v - 4. Suppose 5*j = -3*g + 4, -3*g + 5*j + 54 = 10. Put 0, v, g in increasing order. 0, v, g Let h = 1.8 - -0.2. Let n = -4 + h. Put n, 3/7, 0.1 in descending order. 3/7, 0.1, n Let b = -13 + 23. Let w = -11 + b. Sort 2, 1, w in decreasing order. 2, 1, w Let y(w) = -13*w**3 - 3*w**2 - w. Let v be y(-1). Sort -5, 1, v, 0. -5, 0, 1, v Let b = -389.99 + 392. Let n = b + -2. Put 2/3, -1/6, n in increasing order. -1/6, n, 2/3 Let v = -389/35 + 82/7. Let m = 5 - 4.7. Let p = m - 0.7. Sort -0.2, v, p in descending order. v, -0.2, p Suppose -2*n = -5*q - 13, -3*n = 3*q - 2*n + 10. Sort 0, q, 3 in descending order. 3, 0, q Let c be (-884)/12 - 1/3. Let o be 1 + 1 - (-500)/7. Let f = c + o. Put f, 1/3, -3 in increasing order. -3, f, 1/3 Let k = -0.2 + -0.2. Let b = k + 0. Sort -5, -1/4, b. -5, b, -1/4 Let k = -27 - -26.7. Put k, 0.4, -1, -1/4 in increasing order. -1, k, -1/4, 0.4 Suppose -2*k - 3 = -1. Put k, -4, -3 in descending order. k, -3, -4 Let d be (328/(-84) - -2) + 2. Put d, 2, 1 in increasing order. d, 1, 2 Let u = 6.7 - 9.7. Sort 0, u, -0.3, -4 in decreasing order. 0, -0.3, u, -4 Suppose 0 = 4*f - 8*g + 4*g - 16, 0 = -4*f - 5*g + 34. Let j be (0 - 1)*(f + -1).
{ "pile_set_name": "DM Mathematics" }
Let m(i) = i + 21. Let t be m(r). Determine a(t). -6 Let h(p) = -3*p**3 - p**2 + 2*p - 1. Let y(g) = -2*g + 22. Let a be y(11). Suppose -t - 4 + 5 = a. Give h(t). -3 Let j(o) = o**2 + 6. Suppose 0 = -5*p + 3*p + b + 21, 5*p + 5*b = 30. Suppose 0 = -3*g - 6, 2*v + 4*g = 1 - p. Give j(v). 6 Suppose 0 = -10*v - 376 + 416. Let q(h) = 34 - h - 12 - 14. Determine q(v). 4 Let g(y) = y**2 - 7*y + 6. Let r = 6 - 2. What is g(r)? -6 Suppose 20 = l + 5*j - 3*j, 0 = -2*l + 5*j + 58. Suppose 8*r - l = 5*r. Let o(n) = -7 + r - 2*n - 3. What is o(2)? -6 Let m(b) = b**3 + 3*b**2 + 7*b + 4. Let j(d) = -d**2 - 1. Let y(k) = -4*j(k) + m(k). What is y(-6)? 2 Let i(w) = -w**2 - 11*w - 18. Let j = -754 - -747. Determine i(j). 10 Suppose 6 = 2*u + 4*q, -2*q = -5*u + 15 + 12. Suppose -6 - 4 = u*k. Let m(x) = 6*x - 7*x - 4*x - 3. What is m(k)? 7 Suppose -11*a - 3*x = -14*a + 27, -5*a + 4*x + 42 = 0. Let f(y) = -y**3 + 6*y**2 + y - 8. Give f(a). -2 Suppose 4*l - 16 = -2*n, 5*n = l + 16 + 2. Let r(v) = 2*v - 4. Determine r(l). 0 Suppose -3*f + 6 = -6. Let j(d) be the second derivative of -d - 1/12*d**4 + 1/2*d**3 - 5/2*d**2 + 0. What is j(f)? -9 Let r(f) = -f**3 - 10*f**2 + 14*f + 24. Suppose 106*w - 88 = 114*w. Determine r(w). -9 Let s = -967 + 961. Let r(g) = -g**3 - 5*g**2 + 4*g - 6. Calculate r(s). 6 Let f(p) = -2*p + 9 + p**2 + 11*p - 2. Let d(x) = 16*x - 6. Let v be d(1). Suppose -r + 4 - v = 0. Give f(r). -11 Let o = -458 + 452. Let g(c) = -c**3 - 5*c**2 + 6*c. Give g(o). 0 Let n(w) be the first derivative of 19*w**2/2 + 364. Determine n(1). 19 Let k(a) = -a**2 + 5*a. Let n(u) = -3*u**2 + 9*u. Let d(f) = -5*k(f) + 2*n(f). Let q be d(-7). Let y(h) = -h - 17. What is y(q)? -17 Let k(w) = 2*w**3 + 26*w**2 + 11*w - 9. Let u(a) = a**3 + 14*a**2 + 5*a - 5. Let c(q) = -3*k(q) + 5*u(q). Give c(-7). 9 Suppose -2*d - 5 = -3*t - 0*t, 4*d + 5*t = 45. Suppose 8 = -2*y - n, -y = -2*y - d*n + 14. Let x(l) = -l**2 - 6*l. Give x(y). 0 Let k(r) = -10*r**2 - 1. Suppose 21*t = 22*t - 1. Calculate k(t). -11 Let d = 1480 - 1482. Let v(w) = -w**3 - w**2 + 4*w + 2. What is v(d)? -2 Let a be (0 + 1)*(-12 - -5). Let h(k) = -k**3 - 7*k**2 + 12. Let m be h(a). Let b(d) = 8*d - m - 3*d + 15 + d**2. What is b(-4)? -1 Let i(k) be the second derivative of -k + 1/2*k**2 + 1/12*k**4 + k**3 + 0. Suppose 2*t - 2*a + 12 = 0, 0*a + 18 = -3*t + 2*a. Determine i(t). 1 Let x(t) = t**2 - 3*t + 3. Suppose -a + 1 = -2*u + 6, -2*u + 11 = 5*a. Determine x(u). 3 Let l(z) = 3*z + 3*z - 3*z + 3 - 2*z. Suppose 0 = 2*u - 4*c - 16, -4*u + 13 + 13 = -5*c. Determine l(u). 7 Let q(k) = -10 - 3*k - 12 + 7*k - 4. Determine q(8). 6 Let f(n) = 3*n - 20*n - 702 + 707. Give f(4). -63 Let c(x) = -9*x + 1. Let q be 2 + -3 + 1*8. Suppose 2*o = q*o - 15. Let s be (2/o)/((-18)/(-27)). Give c(s). -8 Let r(s) = -20*s + 6. Let i(o) = -8*o + 4. Let x(z) = -7*i(z) + 3*r(z). Calculate x(-5). 10 Suppose 0*b - 14 = b. Let a = b + 10. Let p = a - -8. Let g(l) = l**2 - 3*l + 1. What is g(p)? 5 Let m(y) = -4*y - 2. Suppose -5*k + 5 = -0. Suppose -2*g + 33 - 8 = p, 0 = -p - k. Let c be (2/3)/(g/(-39)). Give m(c). 6 Let x(l) = -13*l**2 - 13*l - 8. Let i(t) = 24*t**2 + 25*t + 15. Let b(k) = -6*i(k) - 11*x(k). Determine b(-10). -32 Suppose -5*z - 65 = -7*g + 3*g, 3*z + 3*g + 12 = 0. Let o be (-2 + z/(-3))/1. Let d(v) be the first derivative of -5*v**2/2 + v + 7. Give d(o). -4 Let z(x) = -37*x - 1107. Let i be z(-30). Let o(g) = -g**3 - g**2 - 8*g + 2. Let m(h) = 2*h**3 + 3*h**2 + 17*h - 5. Let w(b) = -6*m(b) - 13*o(b). What is w(i)? -8 Let o(h) = -7*h + 18 + 10 + h**2 - 33 + 14. Suppose 0 = -2*n + 2, -37 = z + 2*z - n. Let c = 19 + z. What is o(c)? 9 Suppose 3*k = -11 + 74. Suppose 0 = 4*h - 7 - k. Let j(n) = -n**3 + 7*n**2 + n - 7. Calculate j(h). 0 Let y(f) = -39*f**2 + 19 - f + 2*f + 38*f**2. What is y(0)? 19 Let u(d) = 2*d + 2. Let s(n) be the third derivative of -n**4/8 - 5*n**3/6 - 20*n**2. Let r(t) = -2*s(t) - 5*u(t). Give r(1). -4 Let c(v) = -4 - 8*v - 11*v + 372*v**2 - 371*v**2 + 22*v. Give c(-3). -4 Let o(f) = -f**2 - 4. Let m(g) = -1. Let t(b) = -3*m(b) + o(b). Let a = 43 + -42. What is t(a)? -2 Let a(b) = -b**2 + 7*b - 6. Let u be 3 - ((-5)/2)/((-4)/32). Let c(t) = 2*t + 40. Let j be c(u). Determine a(j). 0 Let y(c) be the third derivative of -c**6/360 + c**5/24 - c**4/12 - 2*c**3/3 - 7*c**2. Let s(w) be the first derivative of y(w). Calculate s(3). 4 Let a(g) be the second derivative of -g**3/6 - 14*g**2 + 2*g + 75. Determine a(-29). 1 Let s(z) = -24 - z**2 + 33 - 13 - 2*z. What is s(-4)? -12 Let j(q) be the first derivative of q**2 + 6*q - 130. Suppose 2*o + 3 = 15. Suppose -7 = w + 2*u, 21 = -o*w + w + 4*u. What is j(w)? -4 Suppose 4*i = -q + 4 + 2, 3*i - 5*q - 16 = 0. Let h be (33/(-6) - -3)*(0 + i). Let d(j) = -j**2 - j + 7. Give d(h). -13 Let l = -26 + 33. Suppose 0 = 4*f - 4*u - 16, -2*f - 1 = -3*u - l. Suppose -5*h = 2*d - 20, -f = -4*h + 2. Let c(k) = 3*k - 5. Calculate c(d). 10 Let q = 0 + 3. Let z(u) = u**2 - q*u**3 - 10*u**3 + u**3 + 1 + u. Suppose 272*j + 47 = 225*j. Give z(j). 13 Let d(z) be the third derivative of -z**5/20 + z**4/8 + 2*z**2. Let r(l) = 2 + 3*l**2 + 0*l**2 + 0*l**2 - 2*l - 2*l**2. Let b be r(0). Determine d(b). -6 Let j(f) be the third derivative of f**6/120 - f**5/60 + f**3/3 - 3*f**2. Let y be 5 + -4 + 3/1. Suppose k - y*p = 18, -8 = 4*k - 4*p + 8*p. Calculate j(k). 6 Let z(a) = -4*a + 3. Suppose -16*u = -11*u + 210. Let m be u/(-8) - (-3)/(-12). Suppose d - m = -5*v, 2*v + 2*v - 3 = -d. What is z(v)? -5 Let d(u) be the first derivative of 4 - 5/2*u**2 + 1/6*u**3 - u. Let i(w) be the first derivative of d(w). What is i(6)? 1 Let n(s) = 3*s**2 + 3 + s + 6*s**2 - 3*s**2. Let q(g) be the first derivative of g**3/3 + g**2/2 - 50. Let r(j) = -n(j) + 5*q(j). Calculate r(2). 1 Let g be 4 + 7/((-14)/176). Let o = g - -80. Let z(k) = -5*k**2 - 6*k + 2. Let n(a) = 4*a**2 + 6*a - 1. Let r(u) = -3*n(u) - 2*z(u). Give r(o). -9 Let r(a) = -7*a - 2. Let m(s) = s - 4. Let p(v) = v - 3. Let l(z) = -3*m(z) + 4*p(z). Let t(b) = 6*l(b) + r(b). Determine t(5). -7 Let z(t) be the first derivative of -2*t**4 + t**2/2 + t + 671. Determine z(-1). 8 Let r(x) = 6 + 50*x - 47*x - x**3 + 3*x + 5*x**2. Give r(6). 6 Let d(k) = -18*k**3 + k**2 - 1. Let r = 255 + -256. Calculate d(r). 18 Let c(w) be the second derivative of -w**3/2 + 3*w**2/2 + 9*w. Let o = 96 + -93. What is c(o)? -6 Let a(i) = i**3 - 5*i**2 + i - 1. Let m = -14 + 17. Suppose 10 = -j + m*j. Determine a(j). 4 Let r(k) = -k**3 - 16*k**2 + k - 6. Let i(n) = 3*n**3 + 46*n**2 - 2*n + 19. Let l(u) = 4*i(u) + 11*r(u). Calculate l(-8). -14 Suppose -6 = -7*w + 36. Let o(v) be the third derivative of 1/12*v**5 + 0 - 5/6*v**3 - 3/8*v**4 - w*v**2 + 1/120*v**6 + 0*v. Determine o(-6). 13 Let m be (-19)/4 + 1/(-4). Let y(l) = 5*l**2 - 22*l - 7. Let n(s) = 6*s**2 - 29*s - 7. Let u(p) = 4*n(p) - 5*y(p). Determine u(m). 12 Let l(y) = -y**2 + 7*y - 9. Let t be l(6). Let c(x) be the first derivative of -1/4*x**4 - 2*x - x**2 + 19 - x**3. Calculate c(t). 4 Let q(n) = -n**2 - 2*n + 7. Let c be -8*(-2 - 26/(-4))/6. Calculate q(c). -17 Suppose 144 = 10*p - p. Suppose -2*w + 2*m = 3*w - 20, -4*w - 3*m = -p. Let s(h) = -3*h**3 + 7*h + 2*h**3 + h - 4*h - 5 + 3*h**2. Give s(w). -5 Let b(n) = 7 - 2*n**2 + 5*n + 4 - 8 - 5. Let z = 1 + 1. Let l be b(z). Let k(d) = -d**3 - d - 4. What is k(l)? -4 Let b(z) = 2*z**2 - 14*z + 10. Let i be (-232)/(-6)*(-2 - 1). Let j be 6/(-10) - i/10. Let x(m) = -m**2 + 7*m - 5. Let u(k) = j*x(k) + 6*b(k). What is u(6)? -1 Let m(z) = 2*z**3 - 9*z**2 + 6*z - 6. Let b(i) = i**3 - i**2 + i - 1. Let y(p) = -6*b(p) + m(p). Determine y(-2). 20 Let n(l) = 2*l**2 + 3*l + 2. Suppose 5*f + 8*f = 39. Let q(d) = -4*d**2 - 6*d - 4. Let z(x) = f*q(x) + 5*n(x). Give z(-2). -4 Let a(x) = x**3 - 11*x**2 - x + 7. Suppose -27 = -3*h + 2*g, -h + 2*g + 4 = -1. Let c be a(h). Let z(k) = k + 3. What is z(c)? -1 Let t(s) = s - 1. Let p(m) = m**3 + 15*m**2 - m + 2. Let c(v) = -13*v**2 + 2*v. Let h be c(-1). Let j be p(h). Let f = j - 13. Give t(f). 3 Let w(k) = -3*k - 160. Let f be w(-53). Let u(j) = -9*j**3 - 2*j**2 - j - 1. What is u(f)? 7 Suppose -9*x + 12 = -12*x. Let q(b) = -b**2 - 6*b - 1. Determine q(x). 7 Let i(r) be the first derivative of -6*r - 12 - 7/3*r**3 + 1/4*r**4 + 2
{ "pile_set_name": "DM Mathematics" }
18*o**2 wrt o? 29840*o**3 Let r(p) = p**2 + 9*p + 16. Let w be r(-7). What is the third derivative of -14*j**4 - 2844*j**2 + w + 77*j**4 + 2831*j**2 wrt j? 1512*j Let w(q) be the first derivative of -91*q**3/6 - 54*q**2 + 82*q - 20. Let n(p) be the first derivative of w(p). Find the first derivative of n(m) wrt m. -91 Let l = -5759 + 5768. Let n(w) be the second derivative of 0*w**3 + 0*w**5 + 0*w**4 - l*w + 1/15*w**6 + 0 + 9*w**2. Find the first derivative of n(a) wrt a. 8*a**3 Find the first derivative of -710*h + 39 + 21 - 10 + 22 - 10 wrt h. -710 Suppose 11*q = 4*i + 9*q - 4950, -5*i = -4*q - 6180. What is the third derivative of -38*j**3 + i + 48*j**2 - 1240 wrt j? -228 Let g(u) be the first derivative of -u**6/60 - u**5/120 - 5*u**4/24 + 40*u**3/3 + 2*u - 81. Let h(b) be the third derivative of g(b). Differentiate h(t) wrt t. -12*t - 1 Let r(g) be the second derivative of -g**6/6 - g**5/4 + 53*g**3/6 - 8601*g**2/2 + 14*g + 21. Differentiate r(b) with respect to b. -20*b**3 - 15*b**2 + 53 Let x(c) be the second derivative of 1/4*c**4 - 4*c**3 - 4*c + 0*c**2 - 19 - 33/20*c**5. Find the second derivative of x(f) wrt f. -198*f + 6 Let j(m) = m**3 - 4*m**2 + 6*m - 48. Let b be j(6). What is the third derivative of 133*r**3 - 40*r - b*r**2 + 40*r + 18*r**3 wrt r? 906 Let o(v) be the third derivative of 0*v + 0 - 82*v**2 - 65/6*v**3 + 29/12*v**4. Differentiate o(x) with respect to x. 58 What is the second derivative of -2385*d - 139622 + 187*d - 3891*d**2 + 139622 wrt d? -7782 Find the third derivative of 2*t**5 - 12 - 404*t**3 - 105*t**4 + 386*t**3 - 16 + 28 + 4713*t**2 wrt t. 120*t**2 - 2520*t - 108 Suppose 5*w + 28 = 73. Let z(f) = -f**2 - 17*f - 21. Let m be z(-15). Find the second derivative of 4*l**5 + m - w - 19*l - 3*l**5 wrt l. 20*l**3 Let z(u) be the second derivative of 0*u**3 + 0*u**7 + 0*u**5 + 0*u**2 + 15 + 0*u**6 + 8/3*u**4 - 3*u + 51/56*u**8. What is the third derivative of z(p) wrt p? 6120*p**3 Let f(o) be the second derivative of 1/6*o**3 - 7/3*o**6 + 0 + 0*o**5 - 3/2*o**2 + 39*o + 0*o**4. What is the second derivative of f(q) wrt q? -840*q**2 Let d(s) = -2974*s**4 - 350*s**2 - s - 1. Let y(n) = -n**4 - 2*n**2 + n + 1. Let i(w) = d(w) + y(w). What is the third derivative of i(r) wrt r? -71400*r What is the second derivative of -14*z - 3 - 4*z - 10*z - 953*z**4 + 31*z + 0 wrt z? -11436*z**2 Let r(c) be the second derivative of 79*c**6/30 - 178*c**2 + 393*c - 2. Find the first derivative of r(o) wrt o. 316*o**3 Differentiate -16*k - 5691 + 11072*k**3 - 4944 + 3100 + 16*k with respect to k. 33216*k**2 Let n(h) be the first derivative of h**3 + 7/2*h**2 - 11*h + 3. Let y(g) = 2*g**2 + 3*g - 5. Let k(c) = 6*n(c) - 14*y(c). Differentiate k(o) with respect to o. -20*o Let r(l) be the first derivative of 565*l**6/3 + 580*l**2 + l + 5795. What is the second derivative of r(f) wrt f? 22600*f**3 Let l(v) be the third derivative of -2*v**2 - 22*v**3 + 56*v + 127/60*v**5 + 0 + 0*v**4. Differentiate l(n) wrt n. 254*n Let i(u) = -u + 10. Let w be i(6). Let a(v) be the first derivative of 4*v**2 - 4*v + 10 - 12*v**3 + 16*v**3 + w*v. Find the second derivative of a(o) wrt o. 24 Suppose -3*s + 2*c + 127 = 0, -39 = -7*s + 6*s - c. What is the second derivative of 145*t**2 - 2615 + 2615 + s*t wrt t? 290 Suppose 0 = -9*g + 3*g + 300. Find the second derivative of g*c - 323 + 2*c**2 - 24*c**4 + 323 wrt c. -288*c**2 + 4 Let b(s) = -6*s - 167. Let l be b(-33). Suppose 3*a + 3 = 15. Find the third derivative of l*y**2 - 140*y**4 - 142*y**4 + 313*y**a wrt y. 744*y Let a(l) be the first derivative of l**6 + 93*l**5/5 - l**4/2 + 4*l**3/3 + 23*l**2 - 7*l + 11690. What is the third derivative of a(q) wrt q? 360*q**2 + 2232*q - 12 Let t(b) be the first derivative of 165*b - 317 - 133/2*b**2. Find the first derivative of t(x) wrt x. -133 Let p(n) be the first derivative of 139*n**6/30 - 145*n**2/2 + 34*n + 159. Let q(w) be the first derivative of p(w). What is the derivative of q(v) wrt v? 556*v**3 Let q be 90/495 + (-31)/(-11). What is the second derivative of -116 - 17*v**4 + 59 + 44 - q*v wrt v? -204*v**2 Suppose 0 = 8*p + 52 - 68. What is the third derivative of 6710 - 99*k**3 - 6710 + 55*k**p wrt k? -594 Let c(f) be the first derivative of 6*f**5 + 6*f**3 + 0*f**4 - 94 - 2/7*f**7 + 0*f**2 + 0*f + 0*f**6. What is the third derivative of c(u) wrt u? -240*u**3 + 720*u Suppose 0*b - 6*b = 24. Let n be (b + 0)*(-17 + 12). Find the third derivative of n*f + 5*f**2 - 20*f - 6*f**3 - f**3 wrt f. -42 Suppose -14*t = -0 - 42. Suppose 21 = 3*q - t*o, -5*q + 4 + 43 = -2*o. What is the second derivative of -3*y**4 + 21*y**4 + q*y**4 + 18*y wrt y? 348*y**2 Let q(i) be the third derivative of -i**2 + 0*i**4 + 113/60*i**5 - 4 + 1/120*i**6 + 4/105*i**7 + 0*i**3 + 0*i. Find the third derivative of q(a) wrt a. 192*a + 6 Let z(p) be the second derivative of 2/3*p**3 - p + 1/2*p**2 + 55 - p**4. What is the second derivative of z(x) wrt x? -24 Let n(q) be the third derivative of 0 - 19/24*q**4 + 0*q - 2/3*q**5 - 1/6*q**3 + 32*q**2. What is the second derivative of n(v) wrt v? -80 Let o(p) be the third derivative of -p**7/315 + p**6/16 + 17*p**5/20 - 65*p**2. Let z(m) be the third derivative of o(m). Differentiate z(f) wrt f. -16 Let p(s) = s**3 - s - 1. Let j(k) = -105*k**3 - 49*k**2 - 5*k + 37. Let l(u) = j(u) - 5*p(u). What is the third derivative of l(m) wrt m? -660 Let t(q) = 74*q**3 - 17*q**2 - 20*q - 3413. Let n(z) = -37*z**3 + 7*z**2 + 8*z + 1707. Let l(w) = 5*n(w) + 2*t(w). Differentiate l(p) with respect to p. -111*p**2 + 2*p What is the third derivative of 0 + 5350258*t**3 - 3 - 5351707*t**3 + 3 + 3155*t**2 wrt t? -8694 Suppose 5*c - 4*v + 11 = 0, 5*v = -5*c - 14 - 6. Let y(g) = -g. Let l(h) = 3*h**4 + 3*h - 70. Let w(b) = c*y(b) - l(b). Find the first derivative of w(m) wrt m. -12*m**3 Let n(l) = -25 + 51 - 24 - l. Let r(g) = 11*g**3 - 7*g**2 + 7*g - 14. Let f = 55 + -34. Let x(p) = f*n(p) + 3*r(p). Find the third derivative of x(o) wrt o. 198 Let a(t) = -168*t**4 - 15*t**2 + 10*t - 926. Let f(d) = 251*d**4 + 23*d**2 - 16*d + 1390. Let c(z) = 8*a(z) + 5*f(z). Differentiate c(b) with respect to b. -356*b**3 - 10*b Let b(a) be the third derivative of 829*a**7/210 + 2411*a**4/24 + 2694*a**2. Find the second derivative of b(l) wrt l. 9948*l**2 Let w(p) = -473*p**3 - 5*p**2 - 1104. Let t(z) = -476*z**3 - 4*z**2 - 1103. Let c(h) = 5*t(h) - 4*w(h). Differentiate c(o) wrt o. -1464*o**2 What is the first derivative of 13*b**3 + 990 + 195*b**2 - 61*b**2 - 4995*b - 9*b**3 + 4991*b wrt b? 12*b**2 + 268*b - 4 Let f be (-4)/(48/2)*-2*3. Let x be 8/6*33/f. Find the second derivative of 15*j + 11*j**5 - x*j + 3*j**5 + 13*j wrt j. 280*j**3 Suppose -28*t + 18*t = -10. Let g(n) = n**2 - 2*n. Let w(k) = 2*k**4 - k**2 - 25*k + 92. Let c(j) = t*w(j) + g(j). What is the first derivative of c(v) wrt v? 8*v**3 - 27 Let y(l) be the second derivative of 421*l**3/6 - 41*l**2 + 111*l + 2. What is the derivative of y(g) wrt g? 421 Suppose 94*u = 46*u + 144. Let b(o) be the second derivative of 0*o**4 - 1/3*o**u + 0 + 0*o**2 + 1/20*o**5 + o. Find the second derivative of b(w) wrt w. 6*w Let v = 239 - 99. What is the derivative of -140*p - p**2 - 28*p**4 - 5 - p**2 + v*p wrt p? -112*p**3 - 4*p Let i(d) be the third derivative of 53*d**5/60 + 7*d**4/24 - 2017*d**3/6 + 3694*d**2. Differentiate i(n) with respect to n. 106*n + 7 What is the second derivative of 5*w**4 - 819*w - 738*w + 29*w**2 - 719*w + 2370*w - 11 + 4*w**4 wrt w? 108*w**2 + 58 Let d = -183 - -206. Find the second derivative of 18*s**4 + d*s**4 + 95*s - 5*s**4 wrt s. 432*s**2 Suppose 0 = -2*x - 0 - 4. Let a be ((-39)/(-6))/(x/(-4)). What is the first derivative of b**2 + 30 + 19*b**2 + a*b**2 - 9*b**2 wrt b? 48*b Let h = -53 - 6. Let t = 63 + h. What is the second derivative of -62*x**5 + 66*x**5 - 20*x + t*x wrt x? 80*x**3 Suppose -4*p - 5*k = 9, 6*p = 3*p + 2*k - 1. Let x be p*(-3)/6 + 175/14. Find the third derivative of x*g**4 + 2*g**4 - 5*g**4 - 6*g**2 wrt g. 240*g What is the third derivative of 96*x + 4*x**2 - 131*x - 1377*x**3 - 6*x**2 + 130*x + 233*x wrt x? -8262 What is the derivative of 71*y**3 - 88627*y - 21*y**3 + 88626*y + 837 wrt y? 150*y**2 - 1 Suppose 12*s = 23*s - 968. Differentiate 190 - 75 - s*u - 87 wrt u.
{ "pile_set_name": "DM Mathematics" }
by -60. -9883/30 What is -13 divided by -7615? 13/7615 Calculate 22 divided by -2278. -11/1139 Calculate -817156 divided by 48068. -17 What is 840700 divided by 84070? 10 What is -251 divided by 669? -251/669 Divide -41352 by 10338. -4 Calculate -43 divided by -890. 43/890 Divide 10 by -245325. -2/49065 Calculate 55680 divided by 87. 640 Divide -8 by -4363. 8/4363 What is -739752 divided by 3? -246584 Divide 845850 by 33834. 25 Calculate 971850 divided by -1045. -930 What is -34965 divided by -13? 34965/13 What is 4 divided by 961584? 1/240396 What is 50 divided by 7875? 2/315 What is 1386 divided by 198? 7 177486 divided by -7 -177486/7 Calculate -8870 divided by 13. -8870/13 Calculate -52734 divided by 374. -141 Calculate -49500 divided by -1650. 30 Calculate -364 divided by -461. 364/461 Calculate -3221 divided by 6. -3221/6 Calculate 305 divided by 91. 305/91 Divide -3 by 162527. -3/162527 40194 divided by -1 -40194 Calculate 124902 divided by -514. -243 Divide 304093 by -4283. -71 -1287988 divided by 18941 -68 Calculate -11 divided by 30533. -11/30533 Divide -521668 by 31. -16828 11821 divided by 43 11821/43 Divide -3686 by -492. 1843/246 What is 2 divided by -98525? -2/98525 -70 divided by -1203 70/1203 -41 divided by 4561 -41/4561 What is 5 divided by -13716? -5/13716 What is -4363546 divided by -11? 396686 What is -198 divided by 3? -66 Divide 12 by 90025. 12/90025 Calculate 44040 divided by 2202. 20 Divide -73500 by 525. -140 Calculate -5 divided by 13165. -1/2633 1 divided by -586901 -1/586901 Calculate -6 divided by 18236. -3/9118 Divide -11650 by -2330. 5 Divide -423190 by -2. 211595 Calculate 113608 divided by 44. 2582 What is 106 divided by -90? -53/45 22608 divided by 3 7536 -46640 divided by 1 -46640 Divide -54144 by 18048. -3 -3237645 divided by 647529 -5 Calculate 31920 divided by 560. 57 Calculate 108339 divided by -36113. -3 Calculate -90 divided by -4328. 45/2164 Calculate -27874 divided by 2. -13937 What is 96 divided by -9204? -8/767 Calculate -5 divided by 12174. -5/12174 What is -24054 divided by -211? 114 What is 14741 divided by 10? 14741/10 Divide -75710 by 1130. -67 Divide 5 by 6332. 5/6332 Divide 335458 by -2. -167729 Calculate -655072 divided by 1861. -352 -11576 divided by -2 5788 What is 249511 divided by 5? 249511/5 Calculate -4 divided by 1730972. -1/432743 What is -49472 divided by 6184? -8 What is -144006 divided by -6? 24001 Calculate 39710 divided by 15. 7942/3 Divide -152365 by 31. -4915 What is -1537 divided by -74? 1537/74 -16012 divided by -2 8006 Divide -3203662 by 781. -4102 Divide 501 by -377. -501/377 217235 divided by 1889 115 -657 divided by -1891 657/1891 Divide -333684 by 414. -806 Divide -11616 by -2. 5808 Calculate 1 divided by -374503. -1/374503 What is 6107 divided by -5? -6107/5 What is 101297 divided by 1? 101297 What is -1421 divided by 383? -1421/383 Divide -597330 by 5. -119466 Calculate -10 divided by -10241. 10/10241 1644 divided by -2 -822 -4559145 divided by -6 1519715/2 Divide -63 by -164. 63/164 -463666 divided by -2 231833 Calculate 27412 divided by -2. -13706 Divide -5058039 by 6. -1686013/2 736 divided by -31 -736/31 What is -12076 divided by -2? 6038 -1532124 divided by -73 20988 What is -20799 divided by -4? 20799/4 Calculate 35 divided by 18208. 35/18208 Calculate -3604 divided by -3604. 1 Calculate 4 divided by -12237. -4/12237 What is 4515 divided by -5? -903 What is 21240 divided by -10620? -2 Divide 8 by -9056. -1/1132 -113900 divided by 1340 -85 Divide 5 by -308907. -5/308907 Calculate -4204155 divided by 3. -1401385 Calculate 2882099 divided by -1. -2882099 What is 275172 divided by -2? -137586 Calculate 531164 divided by 1. 531164 6 divided by 93050 3/46525 2149904 divided by 16 134369 134422 divided by 5 134422/5 20 divided by 12563 20/12563 Calculate 142 divided by 874. 71/437 What is 211052 divided by 5554? 38 Calculate -8 divided by -1820. 2/455 Calculate -607005 divided by 2961. -205 Calculate 4 divided by 6748. 1/1687 Divide -18180 by -3030. 6 Divide 17 by -1347. -17/1347 What is 344718 divided by -3? -114906 Calculate 297482 divided by -6. -148741/3 What is 2674 divided by -7? -382 139 divided by 70 139/70 Divide 1344890 by -268978. -5 28 divided by 430 14/215 What is -82476 divided by -3? 27492 What is 10945 divided by -199? -55 Divide -15 by 30901. -15/30901 Divide -137861 by -1549. 89 Calculate -51 divided by -1195. 51/1195 -42135 divided by 3 -14045 Divide 3276 by 63. 52 Divide -2076 by -2076. 1 Calculate -136864 divided by -34216. 4 What is 3432807 divided by 3? 1144269 Calculate 68940 divided by -6. -11490 Divide -11586 by -3. 3862 Divide -54 by -4426. 27/2213 -1262511 divided by -8361 151 232374 divided by 6 38729 Divide -1 by -7038. 1/7038 -163080 divided by 5 -32616 Divide 113 by -360. -113/360 Calculate -115096 divided by 4. -28774 Calculate -76914 divided by -2. 38457 Divide -2584558 by 4. -1292279/2 What is -4 divided by 7739? -4/7739 What is 5 divided by -502127? -5/502127 2673 divided by 57 891/19 Calculate -130 divided by -739. 130/739 Divide -919600 by -183920. 5 Divide 139362 by -1. -139362 What is 241743 divided by -80581? -3 Calculate -12474 divided by -6237. 2 55509 divided by -55509 -1 Divide -72528 by -20. 18132/5 Calculate 435905 divided by 5. 87181 -124194 divided by -42 2957 Divide 32320 by 160. 202 What is 1321 divided by -703? -1321/703 Calculate 299 divided by -436. -299/436 Divide 34500 by -12. -2875 Divide -2843999 by -6. 2843999/6 -579734 divided by 2 -289867 Divide 754748 by 754748. 1 Divide 2279004 by -21. -108524 27516 divided by 4586 6 What is -70475 divided by 25? -2819 -119910 divided by 10 -11991 Calculate 52 divided by -2418. -2/93 What is -2 divided by -41614? 1/20807 Divide -4012 by 16. -1003/4 What is 2347513 divided by -17? -138089 14 divided by -109259 -14/109259 Calculate 4700 divided by -1175. -4 What is 1569436 divided by 784718? 2 What is 456 divided by -2757? -152/919 -166396 divided by -41599 4 What is -248 divided by 11? -248/11 Calculate 213 divided by 5962. 213/5962 Divide 82726 by 6. 41363/3 What is 91184 divided by 91184? 1 What is 3 divided by -83891? -3/83891 Divide -14884 by 3721. -4 -4282546 divided by -4 2141273/2 What is 55050 divided by 25? 2202 Calculate 4249848 divided by -177077. -24 What is 1926 divided by 14? 963/7 Calculate -76846 divided by 3493. -22 Divide 55825 by 11. 5075 Calculate -7693 divided by -9. 7693/9 39300 divided by 262 150 -2 divided by -21935 2/21935 Calculate 235473 divided by -1. -235473 -1151472 divided by -4172 276 What is -569300 divided by -284650? 2 Calculate -1296 divided by 39. -432/13 Calculate -408 divided by 1. -408 Divide -561795 by 65. -8643 Calculate -63 divided by -324. 7/36 What is 1127685 divided by 28915? 39 What is -335016 divided by -6204? 54 Calculate 29197 divided by 3. 29197/3 Divide -115300 by -28825. 4 What is -223632 divided by 1553? -144 77 divided by 2996 11/428 Divide -124679 by 4. -124679/4 Divide 52811 by -6. -52811/6 What is -90 divided by -13653? 10/1517 Calculate -18221 divided by -1. 18221 What is -8190 divided by 585? -14 -99000 divided by 30 -3300 What is 3 divided by 62715? 1/20905 Calculate 111891 divided by -247. -453 Calculate -58 divided by 2667. -58/2667 -19188 divided by -9 2132 What is -189510 divided by -10? 18951 Calculate 22365 divided by -1491. -15 Divide -42092 by -68. 619 Calculate -4735302 divided by 33. -143494 Divide -834295 by 166859. -5 1617965 divided by 1 1617965 What is -317369 divided by 3? -317369/3 What is -509312 divided by 23? -22144 What is 144064 divided by -29? -144064/29 Calculate 12 divided by 5808. 1/484 Divide -8 by -182157. 8/182157 What is 32000 divided by 20? 1600 Calculate 277398 divided by -15411. -18 Calculate -121770 divided by -99. 1230 What is 1198 divided by -169? -1198/169 What is -42 divided by -1094? 21/547 Divide 1102 by 168. 551/84 What is -112605 divided by -3? 37535 Calculate 575735 divided by 5. 115147 163 divided by -340 -163/340 Calculate 2107380 divided by -31930. -66 What is -303 divided by -466? 303/466 11952360 divided by -5 -2390472 What is -370 divided by 250? -37/25 Divide 398325 by -15. -26555 Divide 302094 by 6. 50349 -87067 divided by -1049 83 5685343 divided by 6 5685343
{ "pile_set_name": "DM Mathematics" }
ge 149 - 86 - 2*t + 19 + 48 + 538 to the form l*t + v and give v. 668 Rearrange 5*o - 6600*o**2 + 3302*o**2 + 3284*o**2 to z*o**2 + w + n*o and give z. -14 Rearrange (j - 2*j + 2*j - j + 6*j - 3*j - j - j + 3*j + (j + 0 + 0)*(0 - 1 + 3))*(-26073 - 10047 - 7225 - 20383 + 12776) to the form n + g*j and give g. -305712 Express -1350*z**2 + 936*z**2 + 3402*z**2 + 4937*z**2 as c*z**2 + s + l*z and give c. 7925 Rearrange -38 - 49 - 20 - 6*n**3 + 18*n**3 - 13*n**3 + 6*n**2 to i*n + s + m*n**2 + q*n**3 and give q. -1 Rearrange (v - 2*v - 6*v)*(v + v - v) - 60*v**2 + 272*v**2 + 79*v**2 to the form g + r*v + m*v**2 and give m. 284 Rearrange 0 + 0 + 1371*z + 3844*z + 1236*z to the form m + b*z and give m. 0 Express 106 - 123 - 6285*c**3 + 1064*c**3 + 20 as n*c**3 + q*c + f + t*c**2 and give n. -5221 Rearrange 322068 - 11*m**4 + 5*m + 5*m**4 - 322070 + m**2 to k*m**3 + r*m + d + f*m**2 + g*m**4 and give g. -6 Rearrange 138*j - 676*j - 52*j + 2 - 165*j to the form y + v*j and give y. 2 Rearrange (1 + 1 + 2)*((3*h - 6 + 6)*(-h**3 + 2*h**2 - 2*h**2) - 390*h**2 + 26*h**4 + 390*h**2) to the form c*h + x*h**3 + u + t*h**4 + a*h**2 and give t. 92 Rearrange (-1 - 1 + 10)*(-r**2 + 2*r**2 - 2*r**2) + (-29*r - 46*r - 15*r)*(0 - 4*r + 0) to b*r + x + n*r**2 and give n. 352 Express f**2 - 8334*f + 0*f**3 - 8335*f - 16 + 16667*f - 4*f**3 in the form p*f**2 + k*f + g*f**3 + z and give p. 1 Rearrange 4389*c**2 - 73 + 73 + 6008*c**2 + 1018*c**2 to b + z*c**2 + q*c and give z. 11415 Rearrange (-194 + 93 - 196)*(8*w - 5*w + 9*w) + 5 + 2 - 7 + 15*w to the form j + o*w and give o. -3549 Express -h + 4*h + h - h - 4 + 4 + (2*h - h - 3*h)*(1 + 0 + 0) - 18*h + 11*h - 45*h in the form u*h + r and give u. -51 Express -5*h**2 + 12*h**2 + 619*h - 10*h**2 + 4*h**2 + 828*h in the form s + c*h**2 + j*h and give c. 1 Express 31*z - z**3 - 18*z + 3 - z**2 - 5*z**2 + 2*z**2 + 95*z in the form b + t*z**2 + a*z + q*z**3 and give b. 3 Express 407 - 15*p + 10*p - 739 - 176 in the form c + z*p and give c. -508 Rearrange 138 + 155 - 43*a + 18*a - 384 to u*a + m and give m. -91 Express 9*v - 527*v**4 - 5*v + 3 - 2*v**3 + v**2 + 432*v**4 + 8 - 10 in the form x*v**2 + y*v**3 + c*v + q + m*v**4 and give y. -2 Express -5706*d - 1791*d + 1891*d - 5337*d + 877*d as g + l*d and give l. -10066 Rearrange 8*b + b - 2355 - 8*b + 5*b - 2*b to the form r*b + x and give r. 4 Rearrange 145*x + 205*x + 693*x + (-x - x + 7*x)*(0 - 2 + 3) to the form z + w*x and give w. 1048 Rearrange (-3552*t - 1646*t - 61 + 69 + 112*t)*(t**2 - 3*t**2 + 0*t**2) to l + q*t**2 + u*t + d*t**3 and give q. -16 Rearrange -2402081 + 1856*q + 2402081 to w*q + o and give w. 1856 Express -1967 + 9690*i - 1973 + 3940 in the form a + h*i and give h. 9690 Express 1110*k + 73032544 - 73032544 as y + w*k and give y. 0 Express 4 + f**2 - 1270*f + 0 - 4 + 751*f in the form i*f + z + a*f**2 and give a. 1 Rearrange (0*u**2 - 6*u**2 + 3*u**2)*(89 + 732 + 2*u**2 + 96) to the form z*u**3 + s + o*u**4 + k*u**2 + m*u and give k. -2751 Express (-140415 - 2*x**3 + 140147 + 5*x**3)*(-x + 3*x - 8*x) as d + p*x + c*x**2 + r*x**4 + w*x**3 and give p. 1608 Express (-20154*j - 8929*j - 5072*j + 7578*j)*(1 + 0 + 1) as w*j + d and give d. 0 Rearrange -61*r**3 + 2*r**4 + 2*r + 2*r + 4*r + 16 - 13*r**3 - 17 to the form n + y*r + p*r**3 + q*r**2 + b*r**4 and give p. -74 Express (283*g + 93 - 142*g - 143*g)*(-2 + 2 + 1) - 27*g + 5*g - 26*g in the form u + d*g and give u. 93 Express 10385304 - 10385304 + 18721*t in the form a*t + h and give a. 18721 Express -450 + 39*h**2 - 422 + 876 + 29*h**2 + 2*h as d*h**2 + t*h + v and give d. 68 Rearrange 11*x**2 - 12*x + 13*x**2 + x**3 + 3*x**2 + 5*x**2 - 49*x**2 to the form l*x**3 + q*x**2 + f*x + r and give l. 1 Rearrange -44*o**2 + 73 - 48 - o**3 - o**3 - 24 + o to the form l + t*o**2 + z*o + f*o**3 and give f. -2 Rearrange 1572*a - 727*a**2 + 2024*a**3 - 1572*a + 727*a**2 + 1 to b*a + c*a**3 + s*a**2 + o and give c. 2024 Rearrange (1326 - 144*j - 14*j - 1324)*(25 + 6 - 9) to m + n*j and give n. -3476 Express (t - t + 3*t)*(7 - 1 - 3) + 112*t - 5*t + 27*t + 66*t as z + d*t and give d. 209 Express (-2*b**2 - 433 + 5*b - 3*b + 451)*((-2*b + 0*b + 0*b)*(0 + 0 + 1) - 4 - b + 4) as s*b**3 + a + h*b + k*b**2 and give s. 6 Rearrange (15*u**3 + u**3 - 4*u**3)*(1 + 2 + 0)*(-103 - 98 + 202 - 98*u) to the form d*u**4 + h*u**3 + z*u + a + m*u**2 and give h. 36 Express 12*r**4 + 2*r**2 - 9 + 75*r**3 + 0*r**2 + 24*r**3 - 4 + 12 in the form m + x*r + w*r**4 + y*r**2 + d*r**3 and give y. 2 Rearrange (908*k + 16466 - 16466)*(3*k**2 - k + 0*k**2 - k**2) to s + d*k + x*k**3 + a*k**2 and give x. 1816 Rearrange 234*n**2 - 1734*n + 1738*n + 12 - 248*n**2 to m + y*n + c*n**2 and give m. 12 Rearrange 211*h**2 + 28*h**4 - 30*h**4 + 88*h**3 - 3*h + 10*h - 212*h**2 to the form c*h**2 + t + m*h + s*h**3 + j*h**4 and give m. 7 Rearrange (-1 + 0 - 6)*(s**2 + 0 + 0 + (5 - 2 - 2)*(3*s**2 + 0*s**2 - s**2)) + 7*s**2 + 5*s**2 + 53*s**2 - 2 to f + y*s**2 + g*s and give f. -2 Express -173*k + 255*k + 298*k + 708*k in the form l*k + n and give l. 1088 Express s**2 + 228297 + s**2 - 229212 in the form q*s + c*s**2 + p and give p. -915 Rearrange (5 + 8 - 1)*(4 - 3 - 4)*(-2*g - 4*g - 2*g) to the form o + z*g and give z. 288 Express -1236*s**3 - 1129*s**3 + s**4 + 2246*s**3 + 6 in the form w*s**3 + z*s**4 + b + h*s**2 + q*s and give b. 6 Express 2*b**2 - 6 - 63*b**3 + 7574495*b + 2*b**4 - 7574495*b as i*b + a*b**2 + k + j*b**4 + z*b**3 and give j. 2 Express -3725*g**3 - 3730*g**3 - 2*g**4 + 7456*g**3 + 2*g**2 + 4 + 4 + 102*g in the form n*g**3 + l*g + h*g**4 + i*g**2 + x and give i. 2 Express (3 + 6 + 3)*(-150607*s - 9 + 150574*s - 65) in the form l + r*s and give r. -396 Rearrange (1 - 2 + 6)*(592*y + 138438 - 138438) to k*y + o and give k. 2960 Rearrange 18311*q**2 - 657 + 16*q**4 + 657 - 181*q - 2*q**3 - 18313*q**2 to d*q + m*q**4 + r*q**2 + l*q**3 + w and give r. -2 Express (-478 - 206 + 443)*(2*u**2 - u**2 - 4*u**2) as q*u**2 + m + s*u and give q. 723 Express (-1142 + 561 - 1217 + (0 - 2 + 3)*(1 - 1 + 3))*(3*j - 5*j + 3*j) as i + h*j and give h. -1795 Rearrange -a**4 - 85 + 4*a**2 - 31*a**3 + 173 - 82 + 36*a**3 to the form u*a + c + g*a**3 + l*a**2 + v*a**4 and give l. 4 Express -16 - w**2 - 1919*w - w**2 + 1916*w + 3*w**3 in the form o*w + l*w**3 + x + y*w**2 and give x. -16 Express 21*j**2 - 9*j**3 + 10*j**3 + 21 - 21 + 89*j**2 in the form o*j**3 + a*j**2 + h*j + t and give a. 110 Express -89*p - 256*p - 8*p**4 - 1 - 4*p**2 + 346*p + p**3 in the form r*p + c*p**2 + l + s*p**3 + h*p**4 and give r. 1 Rearrange -810 + 810 + 2643*p to the form s + u*p and give u. 2643 Express -32*f + 681*f**2 + 593*f**2 + 70*f + 1 - 38*f in the form j*f**2 + y*f + a and give j. 1274 Express (50*k**2 + 52*k**2 + 119*k**2)*(-4 + 1 + 2) + (0*k + 2*k + 1 - 3*k)*(-5*k - 1 + 5*k - 2*k) as h*k + i + j*k**2 and give i. -1 Express 382*s**4 - 2*s + 10*s**2 + 339*s**4 - 719*s**4 - 9*s**2 + 3 + 169*s**3 as k*s**4 + y + f*s**2 + a*s + d*s**3 and give d. 169 Express (2*q + 104 - 138 - 203)*(-11*q + 0*q + 5*q - 5) in the form n*q + s*q**2 + j and give n. 1412 Rearrange (c + 1 - 1)*(-174 + 99 + 75 - 24189*c)*(6*c - 3*c - 2*c) to the form m*c**2 + s*c**3 + n + d*c and give s. -24189 Express -5*p + 397 + 75 + 9*p + 470 + 3*p as u + r*p and give u. 942 Rearrange 2351*x + 528*x + 1390*x + 21*x to m*x + s and give m. 4290 Express -79 + 79 + 11*s - 4*s - 1 + 1 - s + 5 - 5 + (1 + 1 - 3)*(2*s - s + s) - 2*s - 6*s - 11*s in the form a*s + o and give a. -15 Rearrange -65704*v**2 - 65665*v**2 + 4*v**3 + 12*v**3 + 131430*v**2 to j*v**2 + m*v**3 + k + u*v and give j. 61 Rearrange (86*m**3 + 95*m**3 - 149*m**3)*(-36*m + 15*m + 89*m) to y*m**4 + k*m**3 + v + w*m + o*m**2 and give o. 0 Rearrange (5 - 1 - 3)*(44*b - 44*b + 6*b**3) - 14224*b**2 + 14224*b**2 + 8*b**3 to the form o*b + r*b**3 + y*b**2 + l and give r. 14 Express (1 - 1 - s)*(0*s + 4*s - 2*s) + (26*s + 19*s + 0*s)*(-s - s + 4*s) + (0*s - s + 3*s)*(58*s - 5*s - 12*s) in the form t*s**2 + w + x*s and give t. 170 Rearrange 33 - 60 - 14697*x + 14685*x - 123 to the form k + q*x and give k. -150 Rearrange -28*q**2 - 16*q**2 - 2*q**4 + 6 - q + 42*q**2 - 4*q**3 - 3*q to the form f*q + p*q**2 + h*q**4 + j*q**3 + i and give h. -2 Rearrange 3*k**3 - 8*k**2
{ "pile_set_name": "DM Mathematics" }
4 Is -1899 greater than 82? False Do -143 and -83 have the same value? False Is 0.2 < -186.6321? False Which is greater: 2/30602147 or -1? 2/30602147 Is -1 at least as big as -40/4587? False Are 36 and 7836/7 non-equal? True Which is smaller: 243 or 325? 243 Is -3548 smaller than -37? True Which is greater: 607 or -2/33? 607 Which is greater: -604436/9 or -67160? -604436/9 Which is smaller: -10 or -2842/277? -2842/277 Is -62216 equal to -62214? False Which is smaller: -4755 or -4602? -4755 Is 0 != -1/27379? True Which is smaller: -0.853 or 1214? -0.853 Which is greater: 41/20573 or 0? 41/20573 Is -169705/17 not equal to -9982? True Is 1496892 > 1496893? False Do -5409583/2 and -2704792 have the same value? False Is 11.75 greater than -0.2? True Which is bigger: 6/121021 or 0? 6/121021 Is -373063 != -373063? False Is 19/51578 < 1? True Does 1621 = 2302? False Is 132/25 less than or equal to 0.5? False Is 1456 > 1184? True Is 1357 equal to 1353? False Which is smaller: 0 or 23/1111? 0 Is -2/357795 < -1? False Which is greater: 1 or 602/1081? 1 Is -1/3 smaller than 474285? True Which is smaller: 4 or 14473? 4 Do 0.15 and 97.7 have the same value? False Which is greater: 1 or -1/182890? 1 Which is greater: -0.08 or 5762/5? 5762/5 Which is smaller: 235977 or 2123788/9? 2123788/9 Which is bigger: -57/80102 or -1? -57/80102 Is 1 greater than or equal to -37/10556? True Is 1 greater than 1/8154? True Which is smaller: 19.1 or -7.17? -7.17 Is -19/8323 equal to 1? False Which is smaller: 0.036979 or 1/8? 0.036979 Which is greater: -205593 or -205606? -205593 Which is smaller: 22 or 1722/79? 1722/79 Which is smaller: 1 or 104970? 1 Is 6828 smaller than 6823? False Is 168 smaller than 232/9? False Is -171983/30 at least as big as -5734? True Which is smaller: 2/16967199 or 0? 0 Do 2198 and 94570/43 have the same value? False Which is greater: 1838/3783 or -1? 1838/3783 Which is bigger: -12/38447 or 1? 1 Is -394992 equal to -394992? True Is -89118/5 >= -17823? False Which is bigger: -2800 or -69998/25? -69998/25 Is 9589 at most as big as 9586? False Which is smaller: -4.1656 or 2/9? -4.1656 Which is smaller: 1 or 258/4445? 258/4445 Is 2/3149903 at least as big as 1? False Is 93391 at most as big as 93393? True Is 1 less than -2/1733151? False Which is greater: 1 or -29/3254? 1 Is 7921 at least 7923? False Is 7333 bigger than 7335? False Which is smaller: -2121515 or -2121517? -2121517 Which is smaller: -121468 or -121467? -121468 Is -110034/11 less than or equal to -10003? True Are 11 and -65465 unequal? True Do -1491 and -1482 have different values? True Is -3/127 at least -7/11? True Is -1 greater than or equal to -4/28883? False Is 2965443 less than or equal to 2965443? True Is -681.1 <= -2? True Which is bigger: 1 or -2/84633? 1 Is 22/9349 at least as big as -2? True Is -18359 bigger than -18360? True Which is bigger: 0.161 or -29514? 0.161 Do 222 and 223 have different values? True Is 34 less than 386? True Which is smaller: 63990 or 0? 0 Is 61498 <= 61500? True Which is smaller: 25507/9 or 2834? 2834 Which is smaller: -1099992 or -1099991? -1099992 Which is greater: 4207 or 4210? 4210 Which is smaller: -0.25815 or -0.2? -0.25815 Is 93349 < -1? False Is -3352/31 != -109? True Is -3154/67 equal to -0.1? False Which is smaller: -347/5493 or -1? -1 Which is greater: 48 or 1563/32? 1563/32 Is -22751 at least as big as -22720? False Which is greater: 3220 or 3074? 3220 Which is bigger: 73738/53 or 1391? 73738/53 Which is smaller: 10179 or 10188? 10179 Is -1092/587 >= -3? True Is -590969 <= -590969? True Is -0.5 bigger than 0.003943? False Which is greater: -34286 or -9? -9 Is -1008/17 greater than or equal to 7.1? False Is 36440/9 equal to 4050? False Is 0.078 > 2402.2? False Which is bigger: 0.04 or -67.3? 0.04 Is -1 at most as big as 5/93639? True Which is smaller: 2646.732 or 0.1? 0.1 Which is bigger: 167/17 or -95? 167/17 Which is smaller: 869 or 16539/19? 869 Which is smaller: -1 or -1910/1303? -1910/1303 Which is greater: -16077 or -16076? -16076 Is 114447 less than or equal to 0? False Which is smaller: 109 or 11980/111? 11980/111 Which is smaller: -129209/6 or -21536? -21536 Which is greater: -3086 or -3087? -3086 Which is smaller: 4631 or 4522? 4522 Is 118 < 483? True Is -1 less than -16/1984545? True Is 62054 equal to 62052? False Which is smaller: -21/25237 or 0? -21/25237 Is -8936 bigger than -8935? False Is -2189066 bigger than -2189069? True Which is smaller: 4 or 463/92? 4 Which is greater: -870 or -1073? -870 Is -2 at least as big as -615696? True Is 2 at most as big as 15/23722? False Which is smaller: -1 or 108/4135? -1 Is -651985 at least as big as -651977? False Is 20/25579 smaller than -1? False Is 202587 > 202588? False Which is smaller: 6 or 91/152? 91/152 Which is smaller: 7296 or 7277? 7277 Is 19265/56 > 343? True Are -3/13 and -21874 non-equal? True Which is greater: -11/1203 or 1? 1 Is 4/29795 greater than -1? True Is -22362 <= -22406? False Is -1 <= -210/62317? True Are 2000 and 57960/29 non-equal? True Which is greater: 0.98 or -796? 0.98 Which is greater: 127 or -39/4? 127 Which is smaller: -36.9 or -90? -90 Which is smaller: 12/5 or -1441? -1441 Which is smaller: -74 or 324? -74 Which is bigger: -15595 or -202746/13? -15595 Which is smaller: -27 or 1.547? -27 Which is smaller: 550 or 17619/32? 550 Which is smaller: -1459821/4 or -364954? -1459821/4 Which is bigger: -115652 or -0.29? -0.29 Which is greater: -1/102 or -3? -1/102 Is -0.56785 smaller than -0.1? True Is -281 bigger than -25068/89? True Which is smaller: 55 or -4270? -4270 Which is bigger: -0.041 or 9745/3? 9745/3 Which is greater: 13/1431 or -1? 13/1431 Is -0.1 equal to 1924? False Is -3880 at least -3882? True Is -927/1520 < -2? False Which is greater: -152 or -2862/19? -2862/19 Is 1 not equal to -612/9077? True Is -4080 < -20401/5? False Is -20762 smaller than -1/27? True Is -3/11521517 less than or equal to 0? True Which is greater: -317/241 or 0? 0 Is -79591 smaller than -79557? True Which is bigger: -862/47 or -18? -18 Which is greater: 1 or 745/6908? 1 Which is greater: 0.1 or 47120? 47120 Which is greater: 1 or -29123/4? 1 Which is smaller: -27021 or -27022? -27022 Is -13244 less than or equal to -13244? True Is -33/19202 less than 1? True Is -1528 at most as big as -2119? False Which is smaller: -154 or 6050? -154 Which is greater: 582 or 581? 582 Is 383/1689 at most 0? False Which is greater: 239 or 3112/13? 3112/13 Which is smaller: 1 or 2/2003201? 2/2003201 Which is smaller: -2/534595 or -1? -1 Which is smaller: -7589/2 or 0.2? -7589/2 Is -216107 greater than -216111? True Is 120 at least as big as -96? True Which is bigger: 3979 or 35818/9? 35818/9 Which is smaller: -23 or -1365/61? -23 Is 110.57 at least as big as -0.09? True Is 57353 not equal to 57346? True Which is greater: 1 or 1/41909? 1 Which is bigger: -84226/15 or 3? 3 Is -5431 less than -5580? False Is 11.9 greater than 146/61? True Which is smaller: -6006/2095 or -2? -6006/2095 Which is smaller: -290 or -2027/7? -290 Which is smaller: -3 or -130.91? -130.91 Which is smaller: -208/25291 or 0? -208/25291 Are 2919771 and 2919771 equal? True Is -57154/7 < -8165? False Is 918 > -8? True Which is greater: 396 or 2331? 2331 Is 146027 less than or equal to 146027? True Which is smaller: 537287 or -2? -2 Which is bigger: -366719 or -366716? -366716 Is 0 less than or equal to -180973? False Which is greater: -136 or -16/155? -16/155 Which is smaller: -641/12 or -52? -641/12 Which is smaller: -403 or -4819/12? -403 Which is bigger: 2/5 or 5.945? 5.945 Is 355890/31 at least 11480? True Which is smaller: 252 or 115? 115 Which is greater: 2667 or 2683? 2683 Which is greater: 7/377507 or 1? 1 Do -500 and -473 have the same value? False Which is bigger: -415931 or -415925? -415925 Which is greater: 9 or 25702? 25702 Is 1578 smaller than 1858? True Which is bigger: 1/353 or -253? 1/353 Is 139163 < 695813/5? False Do -0.9 and -139874 have the same value? False Which is smaller: -2/7 or 794406? -2/7 Is -46 < -35936? False Are -52083 and -52084 unequal? True Is 0.119 >= -1123? True Is 7035 greater than or equal to 42209/6? True Which is greater: 98163 or 98160? 98163 Which is bigger: -22611/7 or -3229? -32
{ "pile_set_name": "DM Mathematics" }
-880750, -1100990? -220240*b + 210 What is the c'th term of 9924, 19817, 29814, 39915? 52*c**2 + 9737*c + 135 What is the i'th term of 1253704, 1253705, 1253706? i + 1253703 What is the z'th term of 631062, 2524182, 5679380, 10096656, 15776010, 22717442? 631039*z**2 + 3*z + 20 What is the k'th term of 4017622, 8035095, 12052568, 16070041, 20087514, 24104987? 4017473*k + 149 What is the f'th term of 8614, 10137, 11662, 13189, 14718, 16249? f**2 + 1520*f + 7093 What is the u'th term of 658, 5191, 17506, 41497, 81058, 140083? 649*u**3 - 3*u**2 - u + 13 What is the n'th term of -962527, -962526, -962525, -962524? n - 962528 What is the d'th term of 315037, 315023, 314987, 314929, 314849, 314747, 314623? -11*d**2 + 19*d + 315029 What is the d'th term of -457436, -457463, -457504, -457565, -457652, -457771, -457928? -d**3 - d**2 - 17*d - 457417 What is the n'th term of -23454, -23431, -23384, -23307, -23194, -23039? n**3 + 6*n**2 - 2*n - 23459 What is the s'th term of 6086, 9978, 13870, 17762, 21654? 3892*s + 2194 What is the t'th term of -253141, -506585, -760029, -1013473? -253444*t + 303 What is the h'th term of 1249731, 1249857, 1249983, 1250109, 1250235, 1250361? 126*h + 1249605 What is the s'th term of 36, 35, 120, 333, 716, 1311? 7*s**3 + s**2 - 53*s + 81 What is the l'th term of 8260, 19518, 30776? 11258*l - 2998 What is the n'th term of 18714769, 18714767, 18714765? -2*n + 18714771 What is the p'th term of 1842994, 1842830, 1842558, 1842178, 1841690? -54*p**2 - 2*p + 1843050 What is the i'th term of -7474, -7334, -7136, -6880? 29*i**2 + 53*i - 7556 What is the p'th term of -44212, -90891, -137580, -184285, -231012, -277767, -324556, -371385? -p**3 + p**2 - 46675*p + 2463 What is the h'th term of -1093, -1717, -2767, -4255, -6193? -2*h**3 - 201*h**2 - 7*h - 883 What is the n'th term of 121834, 487279, 1096352, 1949059, 3045406, 4385399, 5969044? n**3 + 121808*n**2 + 14*n + 11 What is the t'th term of -162855, -162832, -162809, -162786, -162763? 23*t - 162878 What is the l'th term of -18827353, -18827346, -18827315, -18827248, -18827133, -18826958, -18826711? 2*l**3 - 7*l - 18827348 What is the p'th term of 1552810, 3105624, 4658438? 1552814*p - 4 What is the s'th term of -2913181, -2913500, -2913819? -319*s - 2912862 What is the j'th term of 13930, 14332, 14994, 15922, 17122, 18600, 20362, 22414? j**3 + 124*j**2 + 23*j + 13782 What is the a'th term of -407748602, -815497204, -1223245806, -1630994408, -2038743010, -2446491612? -407748602*a What is the o'th term of 78293, 156643, 234993, 313343, 391693? 78350*o - 57 What is the v'th term of -1121, -1482, -2073, -2900, -3969, -5286, -6857? -v**3 - 109*v**2 - 27*v - 984 What is the t'th term of -120974, -121014, -121052, -121088, -121122, -121154? t**2 - 43*t - 120932 What is the c'th term of 314369, 628904, 943437, 1257968, 1572497, 1887024? -c**2 + 314538*c - 168 What is the x'th term of 570323, 570387, 570493, 570641, 570831, 571063? 21*x**2 + x + 570301 What is the v'th term of 2292, 2293, 2288, 2283, 2284, 2297? v**3 - 9*v**2 + 21*v + 2279 What is the h'th term of -55886, -111034, -166186, -221342, -276502, -331666, -386834? -2*h**2 - 55142*h - 742 What is the g'th term of 1024, 441, -146, -743, -1356, -1991, -2654? -g**3 + 4*g**2 - 588*g + 1609 What is the h'th term of -6248, -7243, -8488, -9983, -11728? -125*h**2 - 620*h - 5503 What is the i'th term of -20653, -34683, -48713, -62743, -76773, -90803? -14030*i - 6623 What is the r'th term of 235, 2042, 6967, 16570, 32411? 260*r**3 - r**2 - 10*r - 14 What is the k'th term of -43566, -174467, -392626, -698043? -43629*k**2 - 14*k + 77 What is the m'th term of -9923, -19692, -29461, -39230, -48999? -9769*m - 154 What is the h'th term of 59268180, 118536363, 177804548, 237072735, 296340924, 355609115? h**2 + 59268180*h - 1 What is the q'th term of -794, -2116, -3996, -6434, -9430, -12984? -279*q**2 - 485*q - 30 What is the d'th term of 183, 625, 1341, 2313, 3523, 4953? -3*d**3 + 155*d**2 - 2*d + 33 What is the r'th term of 19198320, 19198309, 19198298, 19198287? -11*r + 19198331 What is the n'th term of 177158, 708653, 1594488, 2834663? 177170*n**2 - 15*n + 3 What is the g'th term of 2658, 1258, -804, -3522, -6890, -10902? g**3 - 337*g**2 - 396*g + 3390 What is the x'th term of 64137, 64135, 64147, 64179, 64237, 64327, 64455, 64627? x**3 + x**2 - 12*x + 64147 What is the d'th term of 2331517, 2331507, 2331495, 2331481, 2331465? -d**2 - 7*d + 2331525 What is the u'th term of 353222, 706509, 1059796? 353287*u - 65 What is the y'th term of -590, -1203, -1810, -2381, -2886, -3295, -3578, -3705? 5*y**3 - 27*y**2 - 567*y - 1 What is the n'th term of 826301, 826233, 826117, 825953, 825741, 825481, 825173? -24*n**2 + 4*n + 826321 What is the m'th term of 7518082, 15036167, 22554252, 30072337, 37590422, 45108507? 7518085*m - 3 What is the d'th term of -1278, -10220, -34484, -81726, -159602, -275768, -437880, -653594? -1276*d**3 - 5*d**2 + 5*d - 2 What is the d'th term of -102200, -202119, -302038? -99919*d - 2281 What is the h'th term of -31568, -126259, -284072, -505007, -789064, -1136243, -1546544? -31561*h**2 - 8*h + 1 What is the h'th term of -4990148, -9980270, -14970392, -19960514, -24950636, -29940758? -4990122*h - 26 What is the h'th term of -38189, -155520, -351071, -624842? -39110*h**2 - h + 922 What is the j'th term of 18606997, 37213844, 55820689, 74427532, 93034373? -j**2 + 18606850*j + 148 What is the r'th term of 499, 409, 339, 295, 283? r**3 + 4*r**2 - 109*r + 603 What is the k'th term of 30021, 59111, 88201, 117291? 29090*k + 931 What is the q'th term of 3297, 1964, 631? -1333*q + 4630 What is the a'th term of 27597, 110875, 249661, 443949, 693733? -a**3 + 27760*a**2 + 5*a - 167 What is the x'th term of -35985, -71605, -106855, -141729, -176221, -210325, -244035, -277345? x**3 + 179*x**2 - 36164*x - 1 What is the j'th term of 11004, 44078, 99168, 176274, 275396, 396534, 539688? 11008*j**2 + 50*j - 54 What is the p'th term of 22892, 91650, 206280, 366776, 573132, 825342, 1123400, 1467300? -p**3 + 22942*p**2 - 61*p + 12 What is the l'th term of -458502, -458495, -458484, -458469? 2*l**2 + l - 458505 What is the h'th term of 71120, 142286, 213496, 284750? 22*h**2 + 71100*h - 2 What is the r'th term of 24385, 48676, 72969, 97264? r**2 + 24288*r + 96 What is the j'th term of 153, 273, 401, 567, 801? 5*j**3 - 26*j**2 + 163*j + 11 What is the n'th term of -116159250, -464637001, -1045433254, -1858548009, -2903981266, -4181733025, -5691803286? -116159251*n**2 + 2*n - 1 What is the p'th term of -17662, -31360, -45058? -13698*p - 3964 What is the k'th term of -295, -1722, -4101, -7432? -476*k**2 + k + 180 What is the x'th term of -110918, -110827, -110684, -110495, -110266, -110003? -x**3 + 32*x**2 + 2*x - 110951 What is the i'th term of 32919, 65852, 98801, 131766? 8*i**2 + 32909*i + 2 What is the s'th term of 21616, 43199, 64748, 86263, 107744, 129191, 150604? -17*s**2 + 21634*s - 1 What is the u'th term of 10587, 76839, 256661, 606837, 1184151, 2045387, 3247329? 9464*u**3 + u**2 + u + 1121 What is the v'th term of -280, -803, -1310, -1807, -2300, -2795? -v**3 + 14*v**2 - 558*v + 265 What is the s'th term of 61032, 60970, 60908, 60846, 60784, 60722? -62*s + 61094 What is the a'th term of -1720080, -3440170, -5160260, -6880350, -8600440, -10320530? -1720090*a + 10 What is the k'th term of 9680056, 9680061, 9680066? 5*k + 9680051 What is the y'th term of 440323, 1761206, 3962649, 7044652, 11007215, 15850338? 440280*y**2 + 43*y What is the v'th term of -565212, -565230, -565248, -565266, -565284? -18*v - 565194 What is the u'th term of -136367, -136891, -137415? -524*u - 135843 What is the s'th term of -4347, -7710, -11073, -14436, -17799? -3363*s - 984 What is the s'th term of 2699619, 2699630, 2699649, 2699676? 4*s**2 - s + 2699616 What is the b'th term of -258992, -517956, -776918, -1035878, -1294836, -1553792? b**2 - 258967*b - 26 What is the n'th term of 1241692, 1241684, 1241676, 1241668? -8*n + 1241700 What is the f'th term of -43630493, -87260982, -130891471, -174521960, -218152449, -261782938? -43630489*f - 4 What is the a'th term of -129182, -516855, -1162984, -2067575, -3230634? -a**3 - 129222*a**2 + 41 What is the w'th term of 394,
{ "pile_set_name": "DM Mathematics" }
8/(-6)*(-32412)/37814? 58/7 What is (23408/760)/(6/(-15))*(1/(-1))/1? 77 244/5490*630*(-4)/12*6/(-7) 8 Calculate (224/(-128))/(-39*11/132). 7/13 What is 312/(-36)*((-93)/31)/((-2)/(-3))? 39 Calculate 15/3*35/84*(-13)/((-195)/(-30)). -25/6 ((-1062438)/1028)/(-689)*(-2)/(-3)*-22 -22 What is (((-16)/154)/1)/(980/588*(-3)/35)? 8/11 Calculate ((-497)/(-36778))/((-27)/216). -4/37 Calculate 4/(-6)*(-145)/((-37120)/192). -1/2 Evaluate (30/3)/(5512/(-212)). -5/13 Calculate (-85)/(-7)*(-35994)/(-12855). 34 10*20/37650*492/328 2/251 Calculate ((-2)/3)/((32825/780)/(-101)). 8/5 ((-1216)/8512)/((-6)/28) 2/3 What is (-75)/12*148*109/161320? -5/8 What is ((-6)/(-4))/((-1935)/(-5934))? 23/5 What is (-6)/4*40*(-74)/111? 40 Evaluate (-8)/((-14)/(-8)*356/(-1246)). 16 ((-34056)/(-1254))/(-172)*3/(-6) 3/38 Evaluate 104/(-594)*32274/(-1956). 26/9 What is (2/(-10))/(26*39/(-349830))? 69 Evaluate (-45)/(168/35*(-4140)/(-288)). -15/23 (-2)/(8/(-15))*(120/(-50))/((-405)/150) 10/3 Calculate (-656)/(-164)*36/(-30)*15*(-5)/(-32). -45/4 ((-223)/(84071/78))/(3*3) -2/87 (-6*(-12)/(-198))/((-25)/(-220)*(-64)/8) 2/5 Calculate ((-21)/330)/((-7007)/(-6006)). -3/55 ((-33)/(-6))/((-517)/141)*(-2)/7 3/7 What is the value of (((-4076)/9171)/(1/((-3)/(-8))))/((-4)/(-6))? -1/4 Calculate -2*((-288)/384)/((-3)/(-46)). 23 Evaluate 21/(945/342)*410/(-984). -19/6 (-500)/74400*-93*8/870*3 1/58 What is the value of (-40)/48*920/1725? -4/9 180/(-48)*(-8)/(-5) -6 1/(-5)*-28*307350/43029 40 Evaluate -1*20/6*3078/266*21/(-15). 54 Evaluate (-16160)/5050*(-30)/136. 12/17 Evaluate ((-418)/114)/(((-726)/(-4))/(-1)). 2/99 What is 85/5*-2*(207/161)/(30/35)? -51 What is 4352/816*13/((-91)/(-84))? 64 (131/(4454/(-34)))/(((-2)/(-2))/(-53))*-1 -53 Evaluate ((-300)/(-4375)*(-4075)/326)/((-1)/(42/10)). 18/5 What is the value of (3*15/(-18))/(-45*(-59)/4248)? -4 2*(3/(-4))/(11/176*-24)*13 13 Calculate (9*(-6)/(-54))/(2/(-354)*(-6)/(-2)). -59 285/3800*1*(-20)/24 -1/16 Evaluate (-288)/780*(-364)/112*(-10)/822. -2/137 (1088/884)/(2/26)*(-42)/(-6) 112 What is (-32)/(9856/105)*5/((-30)/16)? 10/11 (61/39040*56)/(-7) -1/80 What is the value of (-4)/(-28)*182/(-52)*-2*305/5? 61 Evaluate (((-4250)/(-3400))/(12/(-14)))/(20/12). -7/8 6*(-36)/162*1656/32 -69 What is (((-21580)/(-624))/((-15)/(-18)))/(33/(-66))? -83 What is (-30)/14250*-38*-40? -16/5 Evaluate (5/(-8))/((-16575)/(-663)). -1/40 Evaluate (104/91)/(2*(-4)/(-84)). 12 Calculate (17*(-840)/(-765))/(4/(-6)). -28 What is ((-792)/(-1848))/((-9)/30)? -10/7 Evaluate ((-13)/((-117)/(-2)))/(38/2337)*3. -41 Calculate 567/(-126)*5/210. -3/28 Calculate ((-170)/374)/((-105)/(-630)*10/2). -6/11 Calculate 18/1*(105/(-15))/((-10)/(-5)). -63 (((-84)/36)/((-114)/(-1026)))/(6/(-7)) 49/2 Calculate (-855)/(-266)*380/(-285). -30/7 Evaluate (8/3*(63/(-6))/(-7))/(373/2238). 24 -5*6/(-35)*(-315)/10 -27 42/133*7980/(-840) -3 What is 96/240*1/(-2)*-315*(-2)/3? -42 ((-288)/48)/((-84)/(-448)) -32 Evaluate (-190820)/5075*(-11)/((-44)/10). -94 Calculate (3/(462/4))/((-9)/189*(-183)/122). 4/11 What is (1608/(-2948))/(405/99)? -2/15 What is (-4)/(13/6*33/(-2002))? 112 (5/(-5*294/(-35)))/((-22)/(-7128)*18) 15/7 Evaluate ((-3)/(-2))/(((-7)/(-10))/(7/(-1))). -15 What is the value of 7/(2555/(-292))*(-85)/6*(-9)/30? -17/5 What is the value of 6/4*4/48*8*(-55)/(-1100)? 1/20 What is (726/726)/((-2)/38)? -19 What is (24/4*1/(1/2))/((-27412)/(-15664))? 48/7 ((-28280)/26866)/((-40)/6) 3/19 What is the value of (-1*144/28)/(14/49)? -18 4*25/(-80)*180/250 -9/10 What is the value of (((-12)/9)/4)/(-2*10*(-14)/1680)? -2 What is (286/(-4))/(30635/(-44560))? 104 ((-67956)/(-8090))/(-1*(-6)/(-10)) -14 Evaluate ((4/30)/((-18)/(-63)))/((-24)/1800*-3). 35/3 What is the value of (11/(275/30))/((-2)/(-100)*(-407)/814)? -120 What is 4950/20*71*(-4)/(-2840)? 99/4 What is the value of (-1*1/1)/(((-28)/56)/((-128)/16))? -16 What is 192/(336/21)*(-603)/(-108)? 67 What is (102/((-9078)/(-445)))/((2/(-16))/(-1))? 40 Calculate 27/12*2*(-10)/(-240)*16. 3 What is (-44)/(-20)*(-350)/14850*54? -14/5 What is 3/(255/119)*105*9/27? 49 Calculate (4380/(-1560))/73*2. -1/13 (6312/526)/(6/4*8/(-12)) -12 9*42/(-98658)*27 -3/29 Calculate ((-220)/(-924)*-14)/(2/24). -40 -135*(-2750)/10125*(-3)/2 -55 (11375/350)/(45/2) 13/9 Evaluate ((((-4)/(-21))/(-4))/(3276/(-3822)))/(16/(-240)). -5/6 Evaluate 1668/(-592974)*(-1738)/66. 2/27 Evaluate (182/(-10))/((9348/615)/(-76)). 91 (749/428)/(14/32)*3/(-21) -4/7 Calculate (-80)/2*(-33762)/(-22508). -60 (((-6)/1016)/3)/(1726/13808) -2/127 Evaluate (30/(-140))/((-7888)/(-3808)). -3/29 Calculate (-14*132/(-2079))/(2/3)*42. 56 Evaluate ((532/4256)/(3/32))/((-70)/(-15)). 2/7 What is the value of ((-76950)/(-2280))/(135/30)? 15/2 Calculate (3/((-12)/920))/(30/(-2520)*-210). -92 Evaluate (-40)/1920*16*468/6. -26 What is 4/14*((-210)/30)/14*3/(-3)? 1/7 What is (-9)/(135/20)*3/12*72/44? -6/11 What is (100/16)/(-240*(-27)/(-22032))? -85/4 Calculate (-2396)/(-599)*((-4)/(-4))/(2/66*-6). -22 What is (36*(-60)/480)/((-9)/32)? 16 Calculate (-14133)/(-2692)*(-24)/(-1197). 2/19 Calculate 32/(-336)*(-3)/1*30*(-11)/(-55). 12/7 What is the value of (19/((-95)/(-12)))/((144/45)/4)? 3 What is the value of ((-1)/(-3))/(87*(-18)/(-62640))*36/(-5)? -96 What is (12/(-54)*-2)/((-1410)/(-25380))? 8 ((-21165)/680)/83*(-2)/((-18)/51) -17/8 What is (-18)/(-7)*(-3016)/1885*315/(-54)? 24 What is the value of (1458/(-1944))/(27/1008)? -28 Evaluate (-48)/(-32)*((88/(-288))/11)/((-4)/(-8)). -1/12 Calculate ((-12)/3)/4*9/36*-4*-30. -30 What is 12430/(-2825)*100/66? -20/3 Calculate 14/(-56)*88/198*-14. 14/9 What is the value of (244/(-122))/(26/(-117))? 9 ((-1)/(3/(-69)))/((-69)/69) -23 What is ((-185)/2442*-33)/((-10)/152)? -38 Calculate -13*-5*(28/21)/(140/42). 26 Calculate (-64)/(-32)*87/6. 29 (195/((-273)/7))/(8/112) -70 Evaluate (17/(73593/(-208)))/((-13)/((-1404)/(-24))). 8/37 What is the value of ((2303/(-56))/(-47))/(12/(-480))? -35 (-10066)/1438*51/105 -17/5 What is the value of ((1040/3328)/((-1)/4))/((-250)/32*2)? 2/25 Calculate ((-37912)/(-90041))/(46/19). 4/23 What is (3/((-39)/(-2))*11518/(-7088))/(1*-22)? 1/88 Calculate (((-20)/138)/(-2))/((415/6)/83). 2/23 What is ((-97)/((-138225)/(-7650)))/(8/(-38))? 51/2 (2/24*-5)/(36900/(-9840)) 1/9 What is (-11346)/(-12)*(-798)/12369? -61 What is ((-46)/(-1035))/((210/135)/(-7))? -1/5 Calculate (-209)/(304304/(-455))*4/25. 1/20 (-8*(-8)/(-32))/((-2)/(-28))*(-1995)/(-420) -133 Calculate -20*((-16)/(-20))/(-16*(-5)/280). -56 What is the value of (-75)/(-12)*((-16)/4)/((-7)/(-56)*-4)? 50 What is (-555)/(-1036)*96/720? 1/14 Calculate 10/2800*7*(-525)/(-63)*(-3)/1. -5/8 (-60)/16*-4*(-3)/(-66)*275/(-75) -5/2 Calculate ((-29481)/(-540485))/((-1)/(-715)). 39 Calculate ((-8)/816)/((-2243)/(-724489)). -19/6 (-29)/(2871/396)*(210/(-8))/3 35 Calculate 2/21*98*(-364)/392. -26/3 What is the value of (125/(-13125))/(-2*1/(-18))*(-2)/(-3)? -2/35 Evaluate (864/120)/(16*(-12)/(-480)). 18 What is 255/(-3332)*(-9702)/(-3465)? -3/14 Calculate (-8)/((-24)/(-15))*5684/4930*-17. 98 Evaluate 7/(56/36)*12*(-21)/8127. -6/43 What is ((-16)/(-6)*159/(-212))/((-35)/((-5635)/(-46)))? 7 What is the value of 10/(-20)*(-2)/(-11)*43/774*54? -3/11 What is ((-72)/(-2))/(4*(1334/(-29))/(-368))? 72 What is (-80)/(14080/(-2024))*4? 46 What is the value of (((-2)/(-2))/(95/(-57)))/(12444/(-680))? 2/61 Calculate (4890/34230)/((-3)/1764). -84 What is the value of 88/3*(-225)/250*(1190/(-42))/17? 44 What is the value of ((504/(-20))/7)/(10317/1810)? -12/19 36/30*2*(-9)/(-216)*-2*-340 68 What is ((56028/(-377))/28)/((-18)/156)? 46 Calculate 2/(-1705)*1126290/(-13652). 3/31 Evaluate ((-2)/2)/(1/1*(-551)/5510). 10 What is the value of 1*6/160*216280/54070? 3/20 What is the value of (176/(-60))/(((-16)/9)/2)? 33/10 What is the value of 115563/(-49527)*6/(-735)*14/(-6)? -2/45 Evaluate 20/8*(-39)/130*22/(-220). 3/40 Calculate (-51)/((-6018)/413)*7/(98/60). 15 ((-2)/8)/((-1465)/(-60944))*-1*(-1)/(-2) 26/5 Calculate (66/30)/(110/550). 11 Calculate (1926/96300)/(6/650). 13/6 Evaluate (-6)/(-2)*(44*22/(-363))/(3/(-16)). 128/3 Evaluate 63/294*24/(-72)*(-3)/(-6)*-2. 1/14 ((-3)/(2/(6/15)))/(1488*9/(-720)) 1/31 36758/(-55137)*48/2 -16 Calculate (((-15)/24)/((-185)/1480))/25. 1/5 Evaluate (19308/(-1544640))/((-2)/176). 11/10 What i
{ "pile_set_name": "DM Mathematics" }
213 -541 (base 9) to base 14 -238 -3223 (base 5) to base 11 -369 -55025 (base 6) to base 9 -11348 What is -236b (base 12) in base 6? -30215 What is 143755 (base 8) in base 10? 51181 Convert 4d8 (base 15) to base 3. 1111212 Convert -6030 (base 10) to base 11. -4592 21001021 (base 3) to base 2 1010000010001 What is -10b (base 13) in base 8? -264 What is -b4 (base 12) in base 10? -136 Convert -2114 (base 7) to base 13. -455 What is a568 (base 12) in base 16? 46a0 707 (base 10) to base 5 10312 -215 (base 16) to base 14 -2a1 Convert 257 (base 13) to base 14. 214 Convert 1122001122 (base 3) to base 5. 2011440 Convert -3725 (base 10) to base 6. -25125 4023 (base 12) to base 10 6939 -165 (base 12) to base 13 -140 919 (base 12) to base 4 110211 -4510 (base 13) to base 6 -112354 Convert -1112 (base 6) to base 5. -2020 e5a (base 15) to base 6 22551 Convert -22002000 (base 3) to base 5. -142021 What is 25354 (base 7) in base 12? 3a67 335 (base 6) to base 15 8b -88 (base 14) to base 10 -120 15e (base 15) to base 2 100111010 Convert -226 (base 9) to base 4. -2322 11100111111110 (base 2) to base 16 39fe Convert -3231 (base 4) to base 2. -11101101 Convert -1001111001000 (base 2) to base 11. -3894 What is 17a8 (base 15) in base 3? 21000012 4169 (base 12) to base 2 1101111100001 Convert 233203 (base 4) to base 14. 1175 -120331 (base 5) to base 2 -1000101110010 3c8 (base 16) to base 4 33020 27086 (base 9) to base 16 477f 627 (base 12) to base 9 1204 Convert 45a (base 16) to base 13. 679 What is 310 (base 14) in base 2? 1001011010 What is 1100002201 (base 3) in base 16? 66cd 1422 (base 7) to base 11 465 What is -949 (base 16) in base 14? -c1b -53042 (base 7) to base 14 -4a92 What is -10000101100 (base 2) in base 11? -891 -343124 (base 5) to base 16 -3001 Convert -135053 (base 6) to base 3. -122112020 64734 (base 8) to base 14 9c3a Convert -1100111001100 (base 2) to base 5. -202404 What is -11101101100 (base 2) in base 16? -76c -16035 (base 9) to base 5 -322332 -513 (base 10) to base 14 -289 Convert -2706 (base 8) to base 15. -688 What is 2680 (base 9) in base 6? 13200 Convert -3ac (base 14) to base 16. -2e4 1102012121 (base 3) to base 16 6ccd What is -50b1 (base 12) in base 7? -34402 What is -143033 (base 6) in base 5? -414004 -28803 (base 9) to base 11 -13803 284 (base 9) to base 5 1423 Convert 13022 (base 4) to base 9. 558 1444 (base 8) to base 9 1083 What is 2a31 (base 12) in base 3? 20202201 What is 17294 (base 12) in base 14? c17a Convert 100330101 (base 4) to base 11. 48155 What is 1b9 (base 13) in base 16? 141 -14a (base 15) to base 16 -127 Convert 775 (base 9) to base 6. 2535 What is 170 (base 10) in base 4? 2222 -23e7 (base 15) to base 8 -16732 -1318 (base 14) to base 7 -12531 a75 (base 11) to base 2 10100001100 Convert -4303 (base 5) to base 13. -356 43015 (base 10) to base 9 65004 Convert 10100122 (base 3) to base 12. 14bb What is 304341 (base 5) in base 3? 111200022 Convert 1622 (base 7) to base 3. 220012 What is 3238 (base 9) in base 4? 211100 -24431 (base 5) to base 3 -2120010 Convert 7a (base 16) to base 5. 442 What is 12022 (base 4) in base 3? 112121 Convert 10000102 (base 3) to base 6. 14102 Convert -21101210 (base 3) to base 6. -40550 Convert -5422 (base 8) to base 2. -101100010010 What is 46b5 (base 13) in base 12? 5912 Convert 243 (base 7) to base 10. 129 Convert -142 (base 7) to base 16. -4f What is -c4d1 (base 14) in base 13? -12574 -201112 (base 3) to base 15 -252 What is 26547 (base 11) in base 7? 215365 19b (base 16) to base 11 344 Convert -100011101 (base 2) to base 9. -346 7155 (base 8) to base 3 12001210 140414 (base 5) to base 2 1011001100110 What is -261a (base 14) in base 12? -3a54 Convert 379a (base 11) to base 15. 16ee -41254 (base 6) to base 9 -7487 What is 2032 (base 4) in base 2? 10001110 What is 112112 (base 5) in base 4? 333000 1314 (base 7) to base 2 111110101 What is -11430 (base 7) in base 2? -101110010001 Convert c580 (base 16) to base 13. 1a023 Convert 67 (base 15) to base 2. 1100001 What is -140022 (base 5) in base 7? -22302 Convert 862 (base 9) to base 3. 222002 What is -3434 (base 7) in base 15? -585 ae1 (base 15) to base 9 3334 Convert 782f (base 16) to base 11. 21130 -2b9 (base 16) to base 4 -22321 Convert -10011001110 (base 2) to base 16. -4ce -431 (base 7) to base 14 -118 Convert 659 (base 11) to base 12. 55a Convert 11101001110001 (base 2) to base 16. 3a71 Convert -4029 (base 11) to base 3. -21100100 What is 352 (base 7) in base 13? 112 What is 5491 (base 16) in base 12? 10641 -14455 (base 6) to base 9 -3178 -2004 (base 7) to base 4 -22302 What is 311013 (base 4) in base 16? d47 What is 6759 (base 16) in base 13? c072 What is -1300 (base 4) in base 6? -304 Convert 6 (base 12) to base 4. 12 3112 (base 4) to base 6 554 What is 2eb7 (base 16) in base 15? 3824 -5035 (base 9) to base 15 -1152 Convert -b7bc (base 13) to base 12. -12915 What is -3987 (base 11) in base 10? -5177 -b3 (base 13) to base 14 -a6 What is 3356 (base 10) in base 8? 6434 What is -125 (base 7) in base 4? -1010 Convert -1111001000001011 (base 2) to base 14. -1881d 160 (base 11) to base 8 273 What is -30021 (base 4) in base 13? -47a Convert -1797 (base 13) to base 3. -11210210 1cd (base 14) to base 2 101111001 Convert 2222 (base 8) to base 5. 14140 987a (base 11) to base 5 404114 What is 100111112 (base 3) in base 15? 20bb Convert 3093 (base 12) to base 9. 7233 What is -1002312 (base 4) in base 15? -1403 Convert 6593 (base 10) to base 9. 10035 Convert 1451b (base 12) to base 16. 6ee7 Convert -2002220220 (base 3) to base 13. -15b70 What is 123412 (base 5) in base 6? 34253 What is -400 (base 14) in base 2? -1100010000 What is -3d24 (base 15) in base 3? -122221121 Convert -5254 (base 7) to base 4. -130330 What is -1a5d (base 15) in base 3? -21211121 -1939 (base 13) to base 12 -221a -123 (base 13) to base 5 -1243 -6d1 (base 14) to base 2 -10101001111 180a (base 11) to base 13 1088 What is -1351 (base 6) in base 15? -18a What is 202a5 (base 11) in base 10? 29639 2265 (base 7) to base 11 696 What is -9ee (base 15) in base 3? -10002022 -224 (base 6) to base 9 -107 Convert -3321 (base 9) to base 7. -10066 Convert -110321 (base 4) to base 5. -20322 1cc4b (base 13) to base 3 2220012201 Convert 1330 (base 7) to base 8. 777 Convert -2149 (base 16) to base 2. -10000101001001 What is 1423 (base 5) in base 10? 238 What is -10000101 (base 3) in base 2? -100010010101 -2b8 (base 16) to base 6 -3120 Convert 220133 (base 4) to base 9. 3488 Convert 2a2 (base 11) to base 2. 101100010 What is 140 (base 7) in base 12? 65 Convert 222000020 (base 3) to base 15. 5940 19f (base 16) to base 3 120101 -38124 (base 11) to base 14 -15d26 Convert 1001010110001 (base 2) to base 4. 1022301 Convert 398 (base 10) to base 4. 12032 -36561 (base 7) to base 9 -14080 What is 45543 (base 6) in base 4? 1211013 Convert -35544 (base 8) to base 13. -6bc7 Convert -1976 (base 10) to base 2. -11110111000 -163 (base 15) to base 8 -476 Convert -10330 (base 5) to base 7. -2041 2040011 (base 5) to base 15 a006 What is -20777 (base 9) in base 2? -11010110111111 Convert 5a4 (base 16) to base 13. 871 Convert 111000 (base 3) to base 8. 537 47224 (base 10) to base 5 3002344 What is 10502 (base 12) in base 7? 116363 Convert 2332322 (base 5) to base 2. 1010011101010101 What is 21210111 (base 3) in base 9? 7714 Convert 347 (base 9) to base 8. 436 What is -10031043 (base 5) in base 7? -452445 Convert -813 (base 11) to base 10. -982 -1155 (base 8) to base 6 -2513 Convert -31c1 (base 14) to base 8. -20625 What is 20201020 (base 3) in base 7? 20160 Convert -370 (base 9) to base 12. -216 1202 (base 5) to base 16 b1 Convert -650 (base 8) to base 10. -424 What is -8036 (base 11) in base 4? -2212333 -1104103 (base 5) to base 12 -b1a6 724 (base 8) to base 15 213 Convert -4761 (base 12) to base 6. -101001 What is -444240 (base 5) in base 7? -63252 -23110 (base 5) to base 3 -2021022 -11656 (base 7) to base 15 -da4 Convert -492 (base 11) to base 15. -290 58b (base 14) to base 8 2117 -684 (base 11) to base 4 -30302 Convert 9a7 (base 13) to base 6. 11402 What is -24601 (base 7) in base 12? -38b1 What is 1001100110111 (base 2) in base 8? 11467 1384a (base 12) to base 13 c46c Convert -9a8c (base 16) to base 14. -105c0 Wha
{ "pile_set_name": "DM Mathematics" }
- v**3 + 13*v**2/10 - 4*v/5 + 539. Determine a, given that f(a) = 0. 1, 4 Let u(l) be the second derivative of l**4/3 - 144*l**3 - 1314*l**2 - 2489*l. Suppose u(s) = 0. What is s? -3, 219 Let s(c) be the third derivative of 0 - 64/3*c**3 - 2*c**2 - 2/3*c**5 - 176*c - 1/30*c**6 - 16/3*c**4. Factor s(k). -4*(k + 2)*(k + 4)**2 Let q = -631 - -633. Find t, given that -18*t**2 + 9*t**2 + 0*t**q - t**2 + 5*t**2 = 0. 0 Determine p so that 2/11*p**3 + 3524/11*p**2 + 1548792/11*p - 3111696/11 = 0. -882, 2 Suppose 3 = 5*y - 12. Suppose 2*l + 5*o = 24, 4*l - 22 = -l - y*o. Factor -741*s + 741*s - 11*s**3 - l*s**2 - 9*s**4. -s**2*(s + 1)*(9*s + 2) Factor 673/3*l**3 + 18*l**4 + 0 + 784/3*l + 1/3*l**5 - 504*l**2. l*(l - 1)**2*(l + 28)**2/3 Suppose -782*m = -2278 - 68. What is x in 52/9*x - 28/9 - 20/9*x**2 - 4/9*x**m = 0? -7, 1 Let i(d) be the second derivative of d**5/270 + 5*d**4/108 + 2*d**3/9 + 29*d**2 + 69*d. Let r(n) be the first derivative of i(n). Factor r(g). 2*(g + 2)*(g + 3)/9 Let u be (-22)/60 + ((-8)/(-20) - (-44)/55). Factor 4/3*l**3 + u + 8/3*l + 1/6*l**4 + 3*l**2. (l + 1)**3*(l + 5)/6 Let h be (-1)/3 + (-1856)/48. Let q(s) = 19*s**2 - 25*s - 31. Let b(t) = 3*t**2 - 4*t - 5. Let m(y) = h*b(y) + 6*q(y). Factor m(n). -3*(n - 3)*(n + 1) Let t(v) be the first derivative of v**8/84 + 2*v**7/105 - 2*v**6/15 - 4*v**5/15 + v**2/2 + 12*v - 79. Let m(c) be the second derivative of t(c). Factor m(p). 4*p**2*(p - 2)*(p + 1)*(p + 2) Factor 307/5*k**3 + 19656/5*k + 21168/5 - 47/5*k**4 + 1/5*k**5 + 5571/5*k**2. (k - 28)**2*(k + 3)**3/5 Let u = 1492062/5 + -298412. Solve -24/5 + 16/5*c - u*c**3 + 2/5*c**2 = 0 for c. -3, 2 Let x(f) be the second derivative of 30*f**2 + 5/12*f**4 + 0 - 126*f + 65/6*f**3. Factor x(p). 5*(p + 1)*(p + 12) Let m(f) = -f**2 + 4*f - 13. Let c be m(9). Let g = c - -63. Factor 0 - 19*o + 49*o - g*o**2 + 0. -5*o*(o - 6) Let v(a) = -a**2 - a. Let p be 10/((-5)/(-1)) - 3. Let o(u) = 6*u**4 - 27*u**3 + 32*u**2 - 16*u. Let r(t) = p*o(t) + 4*v(t). Suppose r(f) = 0. What is f? 0, 1/2, 2 Let g(c) be the second derivative of -c**6/40 + 9*c**5/40 - 9*c**4/16 + c**3/2 - 15*c - 57. Factor g(t). -3*t*(t - 4)*(t - 1)**2/4 Solve 252*l - 1/2*l**3 + 0 - 165/2*l**2 = 0. -168, 0, 3 Let z be 20/(-20) + (-105)/15 - 104/(-11). Let f = -1123/55 - -103/5. Factor -f*v**2 - 12/11*v - z. -2*(v + 2)*(v + 4)/11 Let w(z) = z**2 - 3*z + 3. Let s be w(0). Factor 7 - 24*k - 1576*k**2 + 1561*k**2 + 3*k**s + 137. 3*(k - 4)**2*(k + 3) Determine m so that 16/9*m**2 + 0*m + 0 - 22/3*m**3 + 8/9*m**4 = 0. 0, 1/4, 8 Factor -60*s + 496 - 948*s - 1900*s**2 + 1312*s**2 + 20*s**3. 4*(s - 31)*(s + 2)*(5*s - 2) Let o(i) be the second derivative of i**7/2940 + i**6/180 + 4*i**5/105 + i**4/7 + 205*i**3/6 - 180*i. Let h(u) be the second derivative of o(u). Factor h(j). 2*(j + 2)**2*(j + 3)/7 Let s be -14*9/18 - ((-29)/14)/((-75)/(-750)). Factor -534/7*b - s - 33/7*b**2. -3*(b + 16)*(11*b + 2)/7 Suppose -45*v + 184 = -26 - 105. Let a(q) be the first derivative of -2/35*q**5 + 4/7*q**2 - 1/14*q**4 + 0*q + 8/21*q**3 + v. Factor a(c). -2*c*(c - 2)*(c + 1)*(c + 2)/7 Let o(k) be the third derivative of -k**8/420 + 4*k**7/175 + k**6/75 - 16*k**5/25 + 71*k**4/30 - 4*k**3 - 3535*k**2. Determine w so that o(w) = 0. -3, 1, 2, 5 Let f(y) be the third derivative of y**5/60 + 11*y**4/72 - 2*y**3/9 + 1754*y**2. Let f(d) = 0. Calculate d. -4, 1/3 Let l(u) be the third derivative of u**9/100800 - 73*u**5/20 + 15*u**2 - 5. Let h(b) be the third derivative of l(b). What is p in h(p) = 0? 0 Let f(s) = -233*s + 699. Let x be f(3). Let r(d) be the second derivative of 4/21*d**3 - d + 0*d**2 + x - 1/42*d**4. Factor r(h). -2*h*(h - 4)/7 Let v(d) = 15*d**2 - 2*d + 1. Let a(y) = -31*y**2 - 117*y + 120. Let r(f) = -a(f) - 2*v(f). Factor r(l). (l - 1)*(l + 122) Let w = 78572 + -551072/7. Let k = 153 + w. Let k*z**3 + 0*z + 0 + 9/7*z**2 = 0. Calculate z. -3, 0 Let t(a) be the second derivative of -a**7/63 + 16*a**6/135 + 5*a**5/2 - 289*a**4/27 - 1760*a**3/9 - 3200*a**2/9 - 585*a + 1. Find b, given that t(b) = 0. -5, -2/3, 8 Solve -36/5*k + 4/5*k**3 + 684/5 - 76/5*k**2 = 0. -3, 3, 19 Let j(g) be the second derivative of 5*g**7/147 - 99*g**6/35 - 187*g**5/70 + 139*g**4/14 + 26*g**3/3 - 120*g**2/7 + 1471*g. Determine s so that j(s) = 0. -1, 2/5, 1, 60 Let t(s) be the third derivative of -s**10/75600 - s**9/2160 - 23*s**5/60 - 27*s**2. Let p(z) be the third derivative of t(z). Let p(k) = 0. What is k? -14, 0 Let t(q) = 39*q**2 - 38*q + 21. Let w(m) = 98 - 19*m**2 + 19*m - 108 + 0*m**2. Let h(j) = -4*t(j) - 9*w(j). Solve h(y) = 0 for y. 3/5, 2/3 Solve -14*p**3 - 52/3*p**2 - 16/3*p + 14/3*p**5 + 0 + 8/3*p**4 = 0 for p. -1, -4/7, 0, 2 Let m = 686 + -632. Suppose 6*i = 90 - m. Factor -i*l - 15/4*l**2 - 3/4*l**3 - 3. -3*(l + 1)*(l + 2)**2/4 Let z(h) be the second derivative of -h**5/5 + 26*h**3 + 140*h**2 - 82*h - 1. Let z(y) = 0. What is y? -5, -2, 7 Factor 320 + 848/3*g + 1/3*g**4 + 31/3*g**3 + 260/3*g**2. (g + 3)*(g + 4)**2*(g + 20)/3 Let h(v) be the third derivative of v**10/196560 + v**9/32760 + v**4/12 - 20*v**3/3 + 145*v**2. Let d(p) be the second derivative of h(p). Factor d(c). 2*c**4*(c + 3)/13 Let s(h) be the first derivative of 0*h + 3/20*h**5 + 0*h**2 + 0*h**4 - 1/180*h**6 - 4 - h**3. Let i(t) be the third derivative of s(t). Factor i(p). -2*p*(p - 9) Let o(d) = 11*d - 291. Let p be o(27). Let c be 4*((-43)/(-7) - p)*1. What is r in -c*r**2 + 0*r + 4/7 = 0? -1, 1 Let t be (-1)/(-7)*((-13)/(-5) + 69/(-115)). Determine f so that -t*f**3 + 0 - 6*f**2 + 36/7*f + 10/7*f**4 - 2/7*f**5 = 0. -2, 0, 1, 3 Let n(l) = 11*l**3 - 94*l**2 + 205*l + 346. Let o(x) = -155*x**3 + 1315*x**2 - 2865*x - 4845. Let u(b) = -85*n(b) - 6*o(b). Factor u(q). -5*(q - 17)*(q - 4)*(q + 1) Let i(c) be the second derivative of 650/3*c**3 + 0 + 191/4*c**4 - 5/2*c**5 + 1/30*c**6 + 2*c + 338*c**2. Factor i(d). (d - 26)**2*(d + 1)**2 Let h(b) be the first derivative of -3*b**4/4 + 1620*b**3 - 1312200*b**2 + 472392000*b + 683. Factor h(r). -3*(r - 540)**3 Let t(n) be the first derivative of 5*n**4/4 - 10*n**3 + 25*n**2/2 + 60*n - 325. Factor t(a). 5*(a - 4)*(a - 3)*(a + 1) Factor -7*g - 41*g + 3*g**2 - 199 - 27*g + 3*g - 44. 3*(g - 27)*(g + 3) Let f(w) be the third derivative of -91/30*w**5 + 2*w**2 - 4/3*w**3 + 0*w - 143/120*w**6 - 17/6*w**4 + 7/48*w**8 + 6 + 2/15*w**7. Solve f(t) = 0 for t. -1, -2/7, 2 Let w(t) be the second derivative of -54*t - 1/2*t**4 + 0 - 2/5*t**5 + 8*t**2 + 1/15*t**6 + 10/3*t**3. Factor w(k). 2*(k - 4)*(k - 2)*(k + 1)**2 Let c(g) be the second derivative of g**7/126 - 13*g**6/90 + 2*g**5/5 + 6*g**4 - 24*g**3 - 216*g**2 + 14*g - 2. Factor c(l). (l - 6)**3*(l + 2)*(l + 3)/3 Let l(h) = h**2 - 2. Let y(x) = -5*x**2 - 87*x + 422. Let u(p) = 6*l(p) + y(p). Factor u(g). (g - 82)*(g - 5) Let c(r) be the second derivative of r**5/80 + 193*r**4/48 + 9215*r**3/24 - 9409*r**2/8 - 200*r - 3. Factor c(d). (d - 1)*(d + 97)**2/4 Let j = 703/6 - 185/3. Let o = j + -55. Factor o - 9/4*z**2 - 7/4*z. -(z + 1)*(9*z - 2)/4 Let v(t) be the first derivative of -2*t + 5/2*t**2 + 9/4*t**4 - 47 + 16/3*t**3. Determine s, given that v(s) = 0. -1, 2/9 Let u = 1105 + -1103. Let c be (8/(-6))/((-4)/6). Factor -5*b + 83*b**u - 83*b**2 + 3*b**3 + c*b. 3*b*(b - 1)*(b + 1) Factor -5220*p**2 - 186*p**3 - 782*p**3 - 540*p - 140*p**4 - 727*p**3. -5*p*(p + 6)**2*(28*p + 3) Suppose -1613*b - 10 = -1615*b - z, -26 = -b - 4*z. Determine f so that -14/3*f**b + 4*f + 0*f**3 + 0 + 2/3*f**4 = 0. -3, 0, 1, 2 Suppose -10*j + 27 = -3. Suppose 0*f = -3*i - 2*f + 20, -j*i + 23 = 5*f. Factor -m**5 - 5*m**2 - 3*m + 3*m**3 + i*m + m**4 - m. -m*(m - 1)**3*(m + 2) Let o(c) = 58*c - 34. Let r be o(-4). Let l = 269 + r. Suppose -l*b - 3/5*b**2 + 18/5 = 0. Calculate b. -6, 1 Let k(y) = 6*y**2 + 106*y + 110. Let u(n) = -4*n**2 - 2*n - 3. Let b(w) = -k(w) - 2*u(w). Suppose b(t) = 0. What is t? -1, 52 Let y(o) be the first derivative of -5*o**4/12 - 20*o**3 - 360*o**2 + 114*o - 144. Let z(s) be the first derivative of y(s). Factor z(h). -5*(h + 12)**2 Factor 282*d - 4 - 295*d + 7 - 16*d**2. -(d + 1)*(16*d - 3) Let l be (-28)/224 + ((-12970)/(-7888))/5. Let t = -5/58 + l. Determine b, given that -2/17*b - 4/17 + t*b**2 = 0. -1, 2 Let w(x) = -284*x**2 + 14*x + 28. Let a be w(-2).
{ "pile_set_name": "DM Mathematics" }
4 (b) 2 (c) -0.1 (d) 0.4 c Let y = 17060 + -17063. Suppose 4*d - 8 = 6*z - 4*z, -4*z + d - 51 = 0. Let r be (-2 + (-34)/z)*-1. Which is the closest to -0.1? (a) y (b) r (c) 2/5 b Let h = -1884 + 1093. Let q = -802 - h. Let r = 0.1 + 1.9. Which is the closest to r? (a) -1 (b) q (c) 1 c Let q = 2032 - 2028. What is the closest to 0.9 in 110, -5, q? q Let p = -163 - -166. Let k be 8/12 - (-7)/(-6). Let w = -2.5 + 2.6. Which is the nearest to k? (a) 33 (b) p (c) w c Let g = -320 - -323. Let z = -0.0272 - 1.1728. What is the nearest to z in 0.3, -0.1, -3, g? -0.1 Let w = 3234 - 3232. Let p be (-1464)/(-1491)*2/9. Let m = p + 2/497. Which is the closest to w? (a) -3/2 (b) m (c) -0.3 b Let y = -57 - -56.9. Let z = 68 + -135/2. Let c = 12 + -34/3. What is the nearest to y in -4, z, c? z Let z be 1*-1*(-7 - -2 - -5). Let n(f) = f**3 + f**2 - 7*f - 5. Let c be n(-2). Let h be (-1)/c + (-9)/105. What is the nearest to h in 1, -4, z? z Let a(p) be the third derivative of -p**5/60 + p**4/4 - p**3 + p**2. Let c be a(4). Let i(l) = 9*l**3. Let b be i(1). What is the closest to 0 in b, -5, c? c Let m = 1.8749 + 0.1251. Which is the closest to 36? (a) 3/2 (b) m (c) 0.3 (d) 2/23 b Let v = -526/3 + 174. Let z = 0.6 - 5.6. Let s = 55 - 55. Which is the closest to z? (a) -0.2 (b) s (c) v c Let g = -8142 + 65133/8. Which is the nearest to 1/3? (a) -2/15 (b) 0.4 (c) 1 (d) g b Let d = 0.9 + -1. Let y = 96052 - 96051. Which is the closest to y? (a) d (b) 2 (c) -7 b Let d = 28.99 - 27.59. What is the closest to 4/7 in 1, -2, d? 1 Suppose -60*o + 14*o - 5*o + 204 = 0. What is the nearest to -1/5 in 2/3, -0.4, o, -2/3? -0.4 Suppose -109 - 543 = 4*q. Let h = -977/6 - q. Which is the closest to h? (a) -0.1 (b) 1 (c) -4/5 a Suppose 3*h = 4*v - 14, -23*v = -3*h - 14*v - 39. Let c = -133/381 - -2/127. Suppose r - 5*r + 4 = 0. What is the nearest to r in h, -5, c? h Let o = 49 - 47.5. Let c = o - 5.5. Let n = 3 + -1. What is the closest to n in c, 2/11, -4/7? 2/11 Let d = 312 + -312.1. What is the nearest to 56 in d, -4, 5, 1? 5 Suppose -3*w - 132 = 2*o - 136, 4*w + 2*o = 2. What is the closest to 0.1 in w, 0.0331, 0.5? 0.0331 Let p = 2720 + -10879/4. What is the nearest to -2/7 in 5/8, 3, p? p Let g = 3976.2 - 3976. What is the closest to g in 0.5, 14, -4? 0.5 Let i = -4972 - -4972.2. What is the closest to 6 in i, 0.04, -21? i Suppose -h = 4*a, 4 = -5*a - 4*h - 7. Let m be (-1)/a + 1 + 39/143. Let q(s) = s**3 + 3*s**2 - 5*s - 9. Let w be q(-4). What is the closest to -1 in 2/5, w, m? m Let v = -283.2 - -288.287. Let s = 0.087 - v. What is the closest to 2/5 in 10, 1/5, s? 1/5 Let x = -0.065 + 1.425. Let q = x - -0.64. Which is the closest to 0.1? (a) 0.06 (b) q (c) 1/2 a Let q be (-68)/(-408) + (-124)/24. What is the closest to -6.1 in -3/5, -3/8, -1/2, q? q Suppose -183*p + 85 = -98*p. What is the closest to 19/5 in 1/6, p, -4? p Suppose 0 = 2*w + 2*n + 112, 4*w - 3*n - 116 = 6*w. Let m be (3/(-6))/(-2 + w/(-24)). Let u = -79/45 + 14/9. What is the nearest to m in -2, 3, u? -2 Let o = 457.1 - 457.3. What is the nearest to o in -47, -0.4, -1.1? -0.4 Let p = 207.403 - 207. Let i = 14.403 - p. What is the nearest to -1/2 in 4, 3, -3, i? -3 Let v = -0.244 - 87.756. Let w = -87.5 - v. Let q = 3.94 + 0.06. Which is the closest to q? (a) -0.2 (b) 1 (c) w b Let n = -0.046 - 0.424. Let y = n + 0.37. Let x = 2 - 2. Which is the closest to x? (a) -5 (b) 0.3 (c) y c Let p be -1 - 7/(-9)*1. Let y = -3/25 + -7/25. Let l = 1474778 - 1474776. Which is the closest to y? (a) l (b) 0.05 (c) p c Let p = -0.14409 + 0.04409. What is the closest to p in 3/7, -4, -11? 3/7 Let f = 130.52 - 132. Let n = f + 3.48. Which is the closest to -1? (a) -1/3 (b) 3/7 (c) n a Let a(l) = -10*l**2 + 62*l + 425. Let t be a(-9). What is the closest to t in 5, 0, -1/2? -1/2 Let o = -17.3 - -5.8. Let q = -11.6 - o. Let b = 1.2 - 0.2. What is the nearest to b in q, 3, 4? q Let y be (-288)/(-270) - (-5 + 153/27). What is the nearest to y in -1, 1/9, 103? 1/9 Let s(u) = -u**3 + 2*u**2 - 4*u + 5. Let l be s(1). Which is the nearest to -1? (a) l (b) -1/11 (c) -0.05 b Let i be 12/9*(1 + (-11)/2). Let s be (-2)/3*(-4 - 18/i). Let z = -1.9 + 2. What is the closest to z in 10, s, 3? s Let p be (6/18)/((-2)/10)*-18. Let d be (-26 + p)/(0 + 1). What is the nearest to 0.05 in -2, d, -7? -2 Suppose -4*u - 7*v = -15, v + 3*v = -3*u + 10. What is the closest to -1/3 in -24, 6, u? u Let c be -35 + 39 + 5/(-6) - (-1 + 4). What is the nearest to -4 in 5, -0.3, 0, c? -0.3 Let k = -62.7 + 26. Let y = 45.7 + k. Which is the closest to 0? (a) y (b) -5 (c) 5/3 c Let j = -5.12 + 0.12. Let g = -0.76 - -1.76. Let t = 3310 + -3311. What is the nearest to 1 in j, g, t? g Let k = -7 + 6.44. Let v = k + 0.2. Let r = 0.56 + v. Which is the nearest to 2? (a) r (b) 4 (c) -5 a Let n = 123 - 228. Let h = n - -1784/17. Let g = h + 19/34. Which is the closest to 0? (a) g (b) 4 (c) -5 a Let b(l) = -l**3 - 72*l**2 + 74*l + 69. Let i be b(-73). What is the closest to -1 in i, -173, 1/4? 1/4 Let s(u) = u - 1. Let v be s(7). Suppose -k = 4*p + 82, p - v*k + k = -10. Let q be (-15)/p*2/6. Which is the closest to 0.1? (a) -3/5 (b) q (c) -3/4 b Let o(x) = 192*x + 5178. Let m be o(-27). What is the nearest to -1/2 in m, -2, -3, -10? -2 Suppose 0 = 6*j - j + 130. Let a = -26 - j. Suppose -5*i = -0*g + 3*g - 22, 2*i = 5*g - 16. What is the nearest to a in 1, 5, i? 1 Let q = -396.5 - -419.5. Which is the nearest to 2/5? (a) 5 (b) q (c) -2 (d) 2 d Let i = -12 - -8. Let p = -2471 - -2471. Which is the nearest to 8? (a) p (b) i (c) 1 c Let u = -1/6 + -5/42. Let y = -7497 + 7496. Which is the nearest to 0? (a) y (b) -5 (c) u c Let z = -8310.9 - -7921. Let f = z + 388. Suppose 2*s + 8 = 2*d - 4*d, 5*s + 20 = 5*d. Which is the nearest to 0? (a) s (b) -1/7 (c) f b Let n = 4708.5 + -4709. Let r = 2.1 + -1.9. What is the closest to -1/19 in r, 0.3, n? r Let z = 855 + -850. Let f = -0.3 - -1. Let x = 0.3 + f. What is the closest to x in 3, z, 2? 2 Let c = 7.825 - 12.825. What is the closest to 0 in 824, c, 1/5? 1/5 Let r = 2 + -3. Let s = 0.94 + -62.94. Let b = -61.8 - s. What is the closest to -3 in b, 5, r? r Let v = -2/33 + -3/11. Let t = 89572 - 89575. What is the nearest to v in -0.17, t, -5/2, -1? -0.17 Let k = 70.2 - 363.2. Let w = 292.6 + k. Which is the closest to -0.1? (a) 0.1 (b) w (c) 5 a Let p be (-26 + 28)*2/16. Which is the closest to p? (a) -2/13 (b) -0.2 (c) 4/3 (d) 3 a Let r = 3.669 + -8.669. Which is the nearest to -70? (a) -0.2 (b) r (c) -2/11 b Let x = -7/115 - -6/23. Let b be (-8)/40 + (-3)/10. Let a = -62 - -61.6. What is the closest to b in a, x, 2/3? a Suppose 4*i = 2*z + 153 - 799, -2*z + i + 661 = 0. Let r be z/12 - 6/(-24). Let m = -32 + r. What is the closest to m in 1/5, 0, 4? 0 Suppose 0 = -65*t + 28 + 62 + 40. What is the closest to -15 in t, 0.3, -0.17, 0.1? -0.17 Let h be 6/8*((-64)/(-736) + 294/(-207)). Let c = -4 - -6. Let o = 12 - 8. What is the nearest to c in -3, o, h? o Let g = -0.096 - -0.1788. Let v = g + -0.4828. Which is the nearest to -1? (a) 1/9 (b) 0.5 (c) v (d) -1/11 c Let n = 22/73 - 358/219. Suppose -11*k + 54 = -9*k. Let s = -22 + k. Which is the nearest to 1/2? (a) s (b) -3 (c) n c Let p = -3494 + 3493.8. Which is the closest to p? (a) -2/5 (b) 2/11 (c) 4 a Let h = -5/314 - 547/157. Let j be (6/75)/(((-4)/(-20))/(-1)). Which is the closest to j? (a) h (b) 5 (c) 1 c Let y = -4 - -5. Let d = 35044 - 35044.5. Which is the nearest to -1/6? (a) -0.1 (b) y (c) d a Let i = 14102 - 14099. Let w = -3 - -5. What is the nearest to w in i, 1/2, 2? 2 Let k = -1822/7 - -260. Let q(b) = b - 14. Let d be q(-10). Let j be 4*(-3)/d - (-1 + -1). What is the nearest to 1 in j, k, 0.3? 0.3 Let f = 26447 - 26447.4. What is the nearest to -2/17 in 0.2, f, 3/16, -2? f Let x = 13003 - 13000. Which is the closest to 6? (a) -3/5 (b) x (c) -2/11 (d) 7 d Let u be (0 - -1)/(-3)*(-573)/(-382). Let r = 323/218 - -2/109. What is the nearest to -1 in u, r, -3/8? u Let j = -106 - -80.7. Let h = -13.3 - j. What is the nearest to h in 3, 0.5, -3? 3 Let u be (-2)/4*2 + 2/(570/195). What is the closest to u in 5/6, -3, 2/11, -7? 2/11 Let f = 7177.3 + -7
{ "pile_set_name": "DM Mathematics" }
= d**3 - d + 2. Let r be u(0). Suppose -94 = -0*j - r*j. Calculate the remainder when j is divided by b. 13 Suppose 3 = -m, -m + 0*m - 6 = -a. Calculate the remainder when (-27)/(8 - 17) + 14 is divided by a. 2 Let s be (-6)/(-3 + 2) + -2. Suppose -44 = -3*b - 5*l, -3*b - s*l + 44 - 1 = 0. Calculate the remainder when 33/(2*(-2)/(28/(-3))) is divided by b. 12 Let m = -369 + 424. Calculate the remainder when 219 is divided by m. 54 Let v(y) = y + 49. Let p be (-1078)/88 + 2/8. Calculate the remainder when v(p) is divided by 14. 9 Suppose -d = -4*z - 58, 4*d + 176 - 453 = z. Suppose -320 + d = -5*w. Calculate the remainder when w is divided by 13. 11 Let k(b) be the second derivative of b**3/3 - 6*b**2 + b. Suppose -20 = -v - 2*d, 4*d + 29 = 5*v - 1. Calculate the remainder when 23 is divided by k(v). 7 Suppose -2*n + 98 = 4*t, t + 4*n - 130 = -4*t. Let x(z) = -z**2 - 10*z - 10. What is the remainder when t is divided by x(-6)? 8 Let c = 27 - 8. Let w(z) = 27*z**3 - z. Let o be w(1). Let a = o + c. Calculate the remainder when a is divided by 24. 21 Suppose 126 = 4*d + 82. Suppose -3*n + 97 = -2*n. Calculate the remainder when n is divided by d. 9 Let o(h) = h + 2. Let n be o(3). Suppose -3*r + 71 = 6*u - 2*u, u - n*r = 12. What is the remainder when u is divided by 2? 1 Suppose -66 = -a - a. Let y = a - 21. Calculate the remainder when (38/12 - 3) + 250/12 is divided by y. 9 Let z = 168 - 135. What is the remainder when 230 is divided by z? 32 Let w = -381 + 482. Calculate the remainder when w is divided by 40. 21 Suppose -134*l + 770 = -120*l. Calculate the remainder when l is divided by 1*(15 + (-2)/2). 13 Suppose 0*p + 3 = p. Suppose -5*b + 3*b + 4*y + 46 = 0, 66 = p*b - 3*y. Let k(i) = 3*i**3 + i**2 - 2*i - 3. Calculate the remainder when k(3) is divided by b. 18 Suppose -296*z + 183 = -293*z. What is the remainder when 303 is divided by z? 59 Let p(u) = u**2 - u - 17. Let v(r) = -r**3 - 3*r**2 + 4*r - 4. Let b be v(-4). Calculate the remainder when 8 is divided by p(b). 2 Suppose -21*i + 339 + 690 = 0. Calculate the remainder when 2300 is divided by i. 46 Calculate the remainder when 68 is divided by (-4 + 2)/((-6)/(-3)) - -9. 4 Suppose -16*n + 3*n + 2548 = 0. What is the remainder when n is divided by 9? 7 Suppose 11*l - 8*l - 1176 = -11*l. Suppose -4*d + 63 = -5*y, 5*d + 0*d = 2*y + 100. Calculate the remainder when l is divided by d. 18 Suppose 39*w + 405 = 48*w. What is the remainder when w is divided by 30? 15 Let g(m) be the first derivative of 7*m**3/3 + 2*m**2 - 5*m - 17. Suppose -2*n + n + 17 = 0. Calculate the remainder when g(2) is divided by n. 14 Let t(r) = -14*r**3 + r**2 + 4*r + 2. Suppose -11*p = -6*p + 5. Calculate the remainder when t(p) is divided by 5. 3 Let x be ((-6)/4)/(1*(-2)/12). Let f = 31 - x. What is the remainder when f is divided by 6? 4 Suppose 4*s - 6 + 51 = k, -2*s = -5*k + 225. What is the remainder when 109 is divided by k? 19 Let m(b) = 23*b + 78. Calculate the remainder when m(8) is divided by 5. 2 Suppose -4*x - x = -3*b + 12, 4*b = 5*x + 16. Let s(c) = 10*c + 2. Let i be s(3). Suppose -i = -4*w - x*w. What is the remainder when w is divided by 6? 2 Let j(t) = -t**2 - 17*t + 12. Let d be j(-13). Suppose d = 2*q + 2*q. Let f = -3 + q. Calculate the remainder when 51 is divided by f. 12 Suppose 2*i - i + 5*k = 43, 157 = 5*i - 4*k. Calculate the remainder when i is divided by (-235)/(-47) - (0 - -8)/(-2). 6 Suppose 0 = 2*t - 0 - 14. Suppose 3*r - 88 = -t. Calculate the remainder when 2*(28 + -1*2) is divided by r. 25 Let t(a) = -2*a**3 + 105*a**2 + 63*a - 128. What is the remainder when t(53) is divided by 23? 11 Let u be 172/(-6) + 18/27. Let b be 3/2*-2 - 52. Let w = u - b. Calculate the remainder when 78 is divided by w. 24 Let o(b) = 9*b + 177. Calculate the remainder when 6/10 - 74/(-10) is divided by o(-19). 2 Let j = -31 + 11. Let w be (4/(-5))/((-4)/j). What is the remainder when (50/w)/(7/(-14)) is divided by 13? 12 Let r = 11723 + -11709. Suppose -6 = -3*n + 9. Calculate the remainder when r is divided by n. 4 Let m(k) = 5*k**2 + 2*k + 1. Let p(g) = 2*g**2 - 3*g + 11. Calculate the remainder when p(5) is divided by m(-2). 12 Let q(k) = -k**3 + 20*k**2 - 18*k - 5. What is the remainder when 37 is divided by q(19)? 9 Suppose -2*u = -3*u + 70. Let r(a) = -2*a + 20. Let c be r(9). Let o = 20 - c. What is the remainder when u is divided by o? 16 Let m(t) = 4*t**2 + 2*t + 4. Suppose 3*l + x - 5*x = -34, l - 2 = -2*x. Let q(i) = -2*i**2 - 18*i - 24. What is the remainder when m(3) is divided by q(l)? 10 Let i(m) = m**3 - 15*m**2 + 11. Let x(w) = w**3 - 5*w**2 - 2*w + 6. Let p be x(5). Let q = p + 10. What is the remainder when i(15) is divided by q? 5 Let g(i) = 4*i + 18. Let m be g(-3). Suppose 0 = -2*u - m*q + 4*q + 54, -4*u = -2*q - 132. What is the remainder when 92 is divided by u? 30 Suppose -d + 7 = -120. Suppose 5*t - d = -b + 100, 96 = 2*t + 3*b. Let j = -53 + 65. What is the remainder when t is divided by j? 9 Suppose -a + 149 = 5*k, -5*k - 4 = 6. Calculate the remainder when a is divided by 41. 36 Let g = 1021 + -362. What is the remainder when g is divided by 44? 43 Let t = 1914 + -1848. Calculate the remainder when 256 is divided by t. 58 Let k = 99 - 66. What is the remainder when 95 is divided by k? 29 Let u(o) = -o**3 - 14*o**2 + 13*o - 17. Let x(q) be the first derivative of -q**2/2 + 11*q - 3. What is the remainder when u(-15) is divided by x(6)? 3 Let d = 552 + -378. What is the remainder when d is divided by 22? 20 Suppose -18*b + 46 + 26 = 0. Calculate the remainder when 38 is divided by b. 2 Suppose -x + 267 = 4*b, 91 = b - 2*x + 22. Let w = b + -41. What is the remainder when w is divided by 10? 6 Let p(l) = -2*l + 169. What is the remainder when p(-27) is divided by 76? 71 Suppose -2*m + 33 = 5. Suppose 50 = i + m. Let d = -415 - -428. What is the remainder when i is divided by d? 10 Let m = 563 + -466. Calculate the remainder when m is divided by 38. 21 Let k(p) = -2 + 6*p - 5*p - 2*p. Let y be k(-2). What is the remainder when 42 is divided by (19 - y) + 23 + -27? 12 Suppose f = -4*f + 10. Suppose 0 = -3*y + f + 16. Suppose y*c = 30 - 0. What is the remainder when c is divided by 2? 1 Let m(d) = -d**2 + 16*d - 8. Let o be m(6). Suppose -o = -3*k + k. Calculate the remainder when k is divided by 4/(-2) - (-13 + 1). 6 Let n(y) = y + 92. Let m be n(0). Let u = m - 78. Calculate the remainder when 54 is divided by u. 12 Let i(f) = -f**3 - 10*f**2 - 11*f - 8. Let d be i(-8). Let k = -16 - d. Let x = 11 + 84. Calculate the remainder when x is divided by k. 31 Suppose g + 3*z + 20 = 2*g, 28 = 5*g + 3*z. Suppose -3*r = 2 - g. What is the remainder when r is divided by 2? 0 Let x(z) = z**2 + 5*z - 4. Let m be x(-6). Suppose m*q - 11 = 4*b + b, -2*b - 11 = -3*q. Calculate the remainder when q is divided by (-2)/(-6) - (-40)/24. 1 Let i = 365 - 243. What is the remainder when i is divided by 18? 14 Suppose -2*h + 5*d = -6, -4 = -2*h + 3*d + 2. Calculate the remainder when h/(-1) + 8 + 23 is divided by 4/10 - (-144)/15. 8 Let s = -10 + 12. Let g(r) = -r - 1. Let p(t) = 12*t + 5. Let z(d) = 3*g(d) + p(d). What is the remainder when 58 is divided by z(s)? 18 Suppose 4*i - 98 = -a, a - 3*i + 0 = 77. Let n = 110 - a. What is the remainder when 166 is divided by n? 22 Let a = -54 + 99. Let g(c) = -463*c + 5688. What is the remainder when g(12) is divided by a? 42 Suppose 5*a - 8*a = 2*x - 1587, -4*a = -3*x + 2355. What is the remainder when x is divided by 79? 78 Let r(c) = -62*c. Suppose -4*j + 12*j + 32*j = 680. What is the remainder when r(-1) is divided by j? 11 What is the remainder when (-30)/(-4)*972/270 is divided by -2*(2 + (-2 - 4))? 3 Let d(f) = f**3 + 15*f**2 + 18*f - 2. Let m be d(-13). Let o = -89 + m. Calculate the remainder when 24 is divided by o. 11 Let r be (6*-6)/2*16/(-24). Suppose 6 + 18 = r*h. Calculate the remainder when h is divided by 1. 0 Let p(h) = 5*h + 3. Let m be p(0). Suppose -13 - 125 = -m*y. What is the remainder when y is divided by 16? 14 Let w = 0 + 19. Let c = -107 - -10. Let l = -23 - c. Calculate the remainder when l is divided by w. 17 Let i be 6/(-24) + (-377)/(-4). Let p = 24 - i. Let f = -29 - p. What is the remainder when f is divided by 11? 8
{ "pile_set_name": "DM Mathematics" }
om {e: 2, d: 7}. 1/36 Four letters picked without replacement from {k: 14, l: 4}. Give prob of picking 4 l. 1/3060 What is prob of picking 1 s and 1 a when two letters picked without replacement from {l: 6, g: 3, s: 4, d: 3, w: 1, a: 1}? 4/153 Two letters picked without replacement from {g: 13, n: 3}. Give prob of picking 2 n. 1/40 Calculate prob of picking 2 l when two letters picked without replacement from ldddldmiddml. 1/22 Calculate prob of picking 2 n, 1 v, and 1 j when four letters picked without replacement from jjoonvnojhvnqjjjqqo. 3/323 Three letters picked without replacement from {t: 3, o: 2, y: 4}. Give prob of picking 1 y and 2 o. 1/21 Calculate prob of picking 1 h, 1 x, and 1 s when three letters picked without replacement from {h: 1, x: 3, r: 1, s: 2}. 6/35 What is prob of picking 3 h when three letters picked without replacement from eehseshshhe? 4/165 What is prob of picking 1 y and 1 r when two letters picked without replacement from {h: 6, u: 4, r: 4, y: 5}? 20/171 What is prob of picking 2 z and 1 d when three letters picked without replacement from lhkztztdhdhl? 1/110 Two letters picked without replacement from {m: 18, n: 1}. Give prob of picking 1 m and 1 n. 2/19 What is prob of picking 3 v and 1 z when four letters picked without replacement from jzbczjjzvvzvzcc? 1/273 What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 7, i: 3, x: 2, e: 3}? 1/5 Three letters picked without replacement from ddqjwdwwfjqdjffjfdj. Give prob of picking 1 f and 2 d. 40/969 Calculate prob of picking 1 d, 2 a, and 1 z when four letters picked without replacement from {z: 2, a: 5, d: 4, f: 2}. 16/143 What is prob of picking 1 q and 2 b when three letters picked without replacement from {w: 6, t: 2, b: 4, h: 2, q: 1}? 6/455 Calculate prob of picking 1 z, 1 i, and 1 y when three letters picked without replacement from {z: 1, i: 4, y: 3}. 3/14 Three letters picked without replacement from qqqzzzqzzzqqzzqqqz. What is prob of picking 3 q? 7/68 What is prob of picking 2 o when two letters picked without replacement from onsynssjysoo? 1/22 Two letters picked without replacement from ynainlle. Give prob of picking 1 i and 1 n. 1/14 Three letters picked without replacement from ttsttasstyyyotty. What is prob of picking 2 t and 1 s? 9/80 Four letters picked without replacement from ozoozoo. Give prob of picking 2 o and 2 z. 2/7 What is prob of picking 1 d, 1 j, and 1 p when three letters picked without replacement from xdixpdddjdjidxx? 12/455 What is prob of picking 3 c when three letters picked without replacement from ccccc? 1 Four letters picked without replacement from {f: 4}. What is prob of picking 4 f? 1 What is prob of picking 2 h when two letters picked without replacement from laalllhlaalhlaall? 1/136 Four letters picked without replacement from {l: 1, m: 2, f: 2, o: 3, g: 4}. What is prob of picking 1 l, 2 o, and 1 f? 2/165 Calculate prob of picking 1 z, 1 e, 1 t, and 1 s when four letters picked without replacement from eeststttzteest. 72/1001 Four letters picked without replacement from {f: 4, k: 8, o: 2}. Give prob of picking 4 f. 1/1001 Four letters picked without replacement from {m: 14, j: 4}. What is prob of picking 2 j and 2 m? 91/510 Three letters picked without replacement from vryvrqrveyc. Give prob of picking 1 r, 1 q, and 1 c. 1/55 What is prob of picking 2 m when two letters picked without replacement from {c: 1, m: 2, p: 1, e: 5, y: 1, b: 6}? 1/120 Three letters picked without replacement from rmdqdrrdeqxr. What is prob of picking 2 q and 1 e? 1/220 Three letters picked without replacement from {y: 1, b: 3, h: 1, c: 1, u: 1}. Give prob of picking 1 c, 1 h, and 1 y. 1/35 Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {h: 2, b: 2, z: 1, n: 1}. 1/20 Two letters picked without replacement from urovrauoraohhaa. Give prob of picking 1 r and 1 v. 1/35 What is prob of picking 1 z, 1 s, and 1 l when three letters picked without replacement from {l: 1, s: 1, z: 2}? 1/2 Two letters picked without replacement from {f: 1, w: 1, l: 1, m: 1, e: 1}. Give prob of picking 1 m and 1 f. 1/10 What is prob of picking 1 c, 1 s, and 1 t when three letters picked without replacement from {c: 3, f: 6, t: 1, p: 4, s: 2}? 3/280 Calculate prob of picking 4 v when four letters picked without replacement from vvzvzzvzvvzvv. 14/143 Two letters picked without replacement from {g: 7, z: 5}. What is prob of picking 2 z? 5/33 Calculate prob of picking 2 x when two letters picked without replacement from {t: 2, i: 2, x: 2}. 1/15 Three letters picked without replacement from bbbbbbb. Give prob of picking 3 b. 1 What is prob of picking 3 e when three letters picked without replacement from {e: 15, h: 5}? 91/228 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from xcxsilfi. 1/14 Two letters picked without replacement from {l: 4, p: 2, n: 4, t: 6, u: 1, k: 1}. Give prob of picking 1 u and 1 p. 2/153 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from jqqhqjjbqqqbqqh. 4/105 Calculate prob of picking 3 q when three letters picked without replacement from eeqeqqeeeqeqeeqqqqq. 40/323 What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, v: 1, o: 1, a: 2, h: 2, e: 1}? 1/14 Two letters picked without replacement from gggiggig. What is prob of picking 2 g? 15/28 Calculate prob of picking 2 s when two letters picked without replacement from sgsggggg. 1/28 Calculate prob of picking 1 o, 1 t, and 1 g when three letters picked without replacement from wtwottgotwtttogwj. 21/340 What is prob of picking 1 c and 1 w when two letters picked without replacement from {y: 2, w: 2, l: 2, j: 4, m: 1, c: 1}? 1/33 Two letters picked without replacement from xxooxo. Give prob of picking 2 o. 1/5 Calculate prob of picking 2 y and 2 r when four letters picked without replacement from {y: 7, r: 2}. 1/6 What is prob of picking 1 q and 1 z when two letters picked without replacement from {e: 3, z: 1, o: 7, u: 2, q: 1}? 1/91 What is prob of picking 2 b when two letters picked without replacement from {o: 3, p: 2, k: 1, s: 1, d: 1, b: 3}? 3/55 Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, u: 2}. 2/5 Calculate prob of picking 1 c, 2 d, and 1 l when four letters picked without replacement from cccdccccccclcdl. 22/1365 Four letters picked without replacement from ykkyyykkkyykycc. Give prob of picking 2 y and 2 k. 3/13 Four letters picked without replacement from {y: 3, t: 11}. Give prob of picking 3 y and 1 t. 1/91 Two letters picked without replacement from {f: 1, z: 4, g: 1, i: 1, l: 1}. What is prob of picking 1 l and 1 i? 1/28 What is prob of picking 1 r and 1 a when two letters picked without replacement from rrrrrrrarrar? 10/33 Calculate prob of picking 4 l when four letters picked without replacement from {l: 18, r: 2}. 12/19 Two letters picked without replacement from {i: 2, w: 1, u: 1, c: 2, l: 2, f: 1}. What is prob of picking 1 f and 1 c? 1/18 What is prob of picking 2 e when two letters picked without replacement from eeeeeeeee? 1 What is prob of picking 1 f and 3 p when four letters picked without replacement from {c: 1, g: 3, e: 1, p: 3, f: 3}? 1/110 Four letters picked without replacement from gpwptrhrtwwpgg. Give prob of picking 2 p, 1 r, and 1 g. 18/1001 Two letters picked without replacement from eje. What is prob of picking 1 j and 1 e? 2/3 Three letters picked without replacement from {r: 3, q: 11}. Give prob of picking 1 r and 2 q. 165/364 Two letters picked without replacement from {n: 9, j: 1, h: 1, q: 1}. Give prob of picking 1 q and 1 j. 1/66 Four letters picked without replacement from llllllpplpplllhpllp. Give prob of picking 3 p and 1 l. 20/323 Calculate prob of picking 3 e and 1 n when four letters picked without replacement from {x: 5, n: 3, u: 1, e: 3}. 1/165 What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 3, e: 5}? 15/28 Two letters picked without replacement from lldaaadd. Give prob of picking 1 l and 1 a. 3/14 Four letters picked without replacement from ooeoooooeoo. Give prob of picking 3 o and 1 e. 2
{ "pile_set_name": "DM Mathematics" }
111111111 -214124332 (base 5) to base 9 -1662344 -a631a3 (base 11) to base 7 -20320541 What is 908a7 (base 14) in base 9? 578555 Convert -723107 (base 8) to base 4. -322121013 -37469 (base 10) to base 2 -1001001001011101 What is -a92d57 (base 16) in base 15? -e90161 Convert -110101111010 (base 3) to base 15. -4c3b0 Convert -5d0bac (base 14) to base 2. -1100001011000000110100 What is 113243130 (base 6) in base 8? 10056376 391229 (base 14) to base 7 22452152 1020331130 (base 4) to base 11 194587 Convert -a1b5 (base 12) to base 5. -1030221 -b0277 (base 13) to base 3 -120222120010 What is -fba7 (base 16) in base 2? -1111101110100111 What is -12020100011001 (base 3) in base 6? -135343301 Convert 14341341 (base 6) to base 2. 1111000111100111101 -200412200 (base 5) to base 12 -323a6b 15419994 (base 10) to base 15 1548d49 -333144012 (base 5) to base 4 -11210100321 -12424044 (base 6) to base 12 -178024 -25288 (base 15) to base 10 -118703 What is -98268 (base 13) in base 12? -113209 246383 (base 10) to base 16 3c26f Convert 43891 (base 11) to base 3. 10020021111 Convert -23375c (base 15) to base 2. -110011010101111101100 What is 34721 (base 10) in base 12? 18115 What is 256051 (base 8) in base 12? 436b5 20221221102210 (base 3) to base 10 3699264 Convert -1111001001001101111000 (base 2) to base 10. -3969912 Convert 100111100101101001010 (base 2) to base 4. 10330231022 What is 186a028 (base 12) in base 10? 5118368 What is 523130244 (base 6) in base 4? 202300002310 What is -d2842 (base 14) in base 12? -205162 -2201330131 (base 4) to base 5 -132211300 Convert -b08ebd (base 15) to base 16. -7febdd Convert 1036b20 (base 12) to base 6. 145331240 133102020 (base 4) to base 15 27e76 What is -155417 (base 11) in base 12? -b7859 -90b862 (base 14) to base 5 -2221403004 What is 1f0a3 (base 16) in base 3? 20110101212 Convert -11212000111111 (base 3) to base 16. -275995 What is -2868b (base 13) in base 9? -125012 What is -1030022202 (base 4) in base 9? -524843 What is 10122112120 (base 3) in base 6? 1312323 Convert 1459ba5 (base 14) to base 5. 10013244114 -3a8680 (base 12) to base 6 -32432240 Convert -316865 (base 13) to base 7. -12556226 Convert -147688 (base 9) to base 5. -10402322 Convert -4653b (base 13) to base 4. -133111001 What is 133a1 (base 11) in base 14? 6d6c -10011000110100110 (base 2) to base 14 -20730 1101100111011110100 (base 2) to base 16 6cef4 2400531 (base 6) to base 14 335b1 Convert 3005540 (base 6) to base 8. 423704 What is 5514223 (base 9) in base 7? 34114614 What is -45aa7 (base 16) in base 13? -9cb61 Convert 472687 (base 9) to base 2. 1000101010111110010 What is -112132132 (base 4) in base 14? -2579c What is 22113510 (base 6) in base 10? 663090 What is 364542 (base 9) in base 2? 110101101011100000 What is 12ab4c2 (base 13) in base 7? 100656606 14124342 (base 5) to base 7 1144324 What is 2011202100 (base 3) in base 8? 123517 What is 48da11 (base 16) in base 3? 22222120021021 What is 5c4014 (base 14) in base 2? 1100000011110000010010 -22261623 (base 7) to base 6 -105220030 What is -136705 (base 9) in base 7? -465650 -41339d (base 16) to base 11 -2459454 -10cadb (base 16) to base 11 -691911 Convert a002b4 (base 13) to base 9. 6878756 What is 57d27d (base 14) in base 8? 13330037 Convert -497228 (base 10) to base 3. -221021001212 What is 667856 (base 10) in base 8? 2430320 a13440 (base 13) to base 15 4e0b5a What is 448074 (base 9) in base 8? 1014063 -2343224412 (base 5) to base 13 -118886b What is -4865667 (base 9) in base 3? -11222012202021 707240 (base 8) to base 11 14a168 -a87ef (base 16) to base 8 -2503757 250095 (base 10) to base 8 750357 266b43 (base 14) to base 9 2438275 Convert -34004523 (base 7) to base 5. -1223132414 What is 1363577 (base 11) in base 16? 23d0ea What is -2111002022 (base 3) in base 11? -3381a What is -a6153 (base 12) in base 6? -4400543 What is 12002202100 (base 3) in base 11? 694a3 -33010123 (base 4) to base 16 -f11b What is -a5a48 (base 16) in base 8? -2455110 Convert 282372 (base 9) to base 16. 2a140 What is 664650 (base 7) in base 11? 7a958 Convert 11210013321 (base 4) to base 14. 29d837 -25310134 (base 7) to base 9 -4266764 Convert -144b257 (base 12) to base 8. -17447643 What is 11001000110111110001 (base 2) in base 16? c8df1 What is -11121220010210 (base 3) in base 5? -1112131130 -30cb98 (base 13) to base 11 -710199 Convert 17a4 (base 16) to base 5. 143202 What is -138423 (base 13) in base 8? -1640171 133111013 (base 5) to base 8 2447656 Convert 62edf (base 16) to base 12. 1765bb Convert 26a36 (base 12) to base 8. 150112 Convert -14c22 (base 16) to base 14. -22db4 What is -293eb9 (base 15) in base 2? -111100101010011110000 -101111000010000001011 (base 2) to base 16 -17840b Convert -1331213020 (base 4) to base 3. -222010202201 Convert 1dba47 (base 16) to base 14. 389dd5 81788 (base 10) to base 8 237574 Convert 134e29 (base 15) to base 12. 389003 -10042330 (base 5) to base 11 -55915 Convert -1bbb1 (base 16) to base 14. -2d573 What is 30164552 (base 7) in base 8? 11431510 -1134313 (base 5) to base 14 -7a2c Convert -927069 (base 11) to base 5. -340110013 What is 10000100000111100 (base 2) in base 4? 100200330 Convert -1168561 (base 9) to base 15. -c874d Convert 4354541 (base 7) to base 15. a8648 Convert -26329d (base 14) to base 3. -2110210201021 What is -17aba0 (base 16) in base 13? -424110 Convert -252397 (base 11) to base 2. -1100001010001100110 What is -113933 (base 11) in base 10? -180810 What is -1273594 (base 11) in base 7? -24464322 What is -1031300223 (base 4) in base 16? -4dc2b Convert -23552004 (base 6) to base 2. -10110110000010100100 Convert -10031042 (base 5) to base 4. -103210103 -9c53 (base 15) to base 2 -1000000110000001 Convert 9260f8 (base 16) to base 6. 541340224 What is -120036 (base 9) in base 14? -1c456 Convert 2127291 (base 10) to base 16. 2075bb What is 1212355 (base 6) in base 4? 33221033 1334121421 (base 5) to base 13 92c80b 71061626 (base 8) to base 12 5019a46 -1983634 (base 10) to base 16 -1e4492 What is -1021231103 (base 4) in base 8? -1115523 -1093894 (base 16) to base 9 -35631864 What is -53304 (base 11) in base 2? -10010111011111101 -210c67 (base 14) to base 6 -35533003 -1186822 (base 9) to base 16 -9e354 What is 221b20 (base 13) in base 8? 3041716 -975030 (base 10) to base 2 -11101110000010110110 Convert -121478 (base 11) to base 6. -4041545 Convert 3610 (base 14) to base 10. 9422 197a442 (base 11) to base 16 32ec83 Convert 153100402 (base 6) to base 3. 20001221212102 Convert 12213032 (base 4) to base 12. 13812 What is 22313033 (base 5) in base 2? 110000010100000101 Convert 72550 (base 8) to base 13. 108b0 What is 442289 (base 10) in base 3? 211110201002 Convert -33360 (base 10) to base 16. -8250 Convert 113010002 (base 4) to base 3. 11210120202 Convert 7918814 (base 10) to base 12. 279a792 231411 (base 8) to base 7 445105 What is -1241203312 (base 5) in base 12? -10401b3 What is af0958 (base 16) in base 12? 3a12508 What is 32753 (base 15) in base 11? aa468 Convert -330542 (base 8) to base 15. -22d16 Convert 2401102 (base 8) to base 2. 10100000001001000010 Convert -263bd8 (base 16) to base 9. -4638137 Convert 544453 (base 8) to base 16. 2c92b Convert -2044324 (base 6) to base 4. -120102130 What is -768a1 (base 14) in base 4? -1012011231 1122102122110 (base 3) to base 2 11010101100000101110 Convert -23131341 (base 5) to base 8. -626732 Convert -26611662 (base 7) to base 16. -257d48 Convert 1022854 (base 10) to base 11. 639538 442040411 (base 5) to base 14 37990c Convert 10204333231 (base 5) to base 16. a2108a What is 1011110000111110001 (base 2) in base 14? a06d3 What is -7402234 (base 9) in base 2? -1111000110010010101110 Convert -101101001100011101011001 (base 2) to base 15. -1090593 What is -10130451 (base 6) in base 14? -78491 Convert -20703 (base 10) to base 7. -114234 67663 (base 9) to base 2 1010111111010100 386529 (base 11) to base 2 10010100101010000111 Convert 7383878 (base 10) to base 11. 4193687 Convert -1da3 (base 14) to base 8. -12473 Convert 43894 (base 10) to base 8. 125566 What is 44ac61 (base 13) in base 16? 18c5c5 -1c6348 (base 15) to base 16 -152d5c -352155 (base 8) to base 16 -1d46d Convert -12210120122 (base 3) to base 5. -12123041 What is 32434 (base 10) in base
{ "pile_set_name": "DM Mathematics" }
3 + -207. Let z = i - 4.83. What is the closest to r in 0.02, z, 2? 0.02 Let d(k) = -78*k + 1796. Let j be d(23). Which is the nearest to j? (a) 4 (b) -59 (c) 3/2 c Let l be -1*3*(-7)/21. Let k be (7/(-56))/((6/l)/12). Let d = -10 + 7. Which is the closest to k? (a) d (b) -2/9 (c) 3 b Let n = 13.228 - 11.228. Which is the nearest to 1? (a) n (b) 1 (c) -1 (d) -1/4 b Let u = -39593 - -40390. What is the nearest to u in -0.4, -4, 0, 4? 4 Let m = -261.5248 + 0.4248. Let s = -261 - m. What is the nearest to s in -5, -5/18, 2? -5/18 Let l = 6893/57 - 1734/19. What is the closest to l in -1/9, -0.3, 2, -2/17? 2 Let l = 6076 - 6074. Which is the nearest to -4/7? (a) 2/7 (b) 2/9 (c) l b Let f = 5.02 + -0.02. Let d = 431 + -433.55. Let b = d - -14.55. What is the closest to -2 in 0, b, f? 0 Let m be (7 - (2 + (-51)/(-9)))/(-1). What is the nearest to -1 in 7, 2/7, m, -2/7? -2/7 Let p = 4987313/70 + -71246. Let n = p + -10/7. Let m = 11 + -11. What is the nearest to m in n, -0.2, 6/11? n Let w = -694.9982 - -695. Let z = 0.3018 - w. Let s = 2/53 - -49/106. Which is the nearest to z? (a) s (b) -2/9 (c) -3 a Suppose -5*u - 5*x = -10, -3*u + 5*u - 28 = 6*x. Which is the nearest to -2? (a) -1 (b) 8 (c) u (d) -54 a Let t(q) = -q**2 - 42*q + 4. Let i be t(-40). Let y be 405/35 - (-36)/i. What is the closest to -1/2 in y, -2/5, 1/3? -2/5 Let v = 27 - 39. Let i = 16 + v. Let m = -264 - -259. Which is the closest to 2? (a) m (b) -0.5 (c) i c Let p = 1893.07 - 1892. Which is the closest to 0? (a) p (b) 0.1 (c) -6 (d) -3 b Let d = 3212 - 3186.47. Let k = d - 0.53. Let r = 21 - k. Which is the nearest to -0.1? (a) -1/5 (b) r (c) 3 a Let m = -176/21 - -11119/63. Let a = m - 168. What is the closest to 0.3 in a, -4, -1? a Let r = 220.8 - 180. Let u = r - 41.8. What is the nearest to 3 in -4, 0, u? 0 Let l be 966/(-115)*(-30)/9*-9. Let y = l - -1768/7. Which is the closest to 0? (a) y (b) 1 (c) 15 a Let f = 3302.9 - 3302.7. Let n be 33/22 - 146/44. What is the closest to -3 in 3, f, n? n Let u = -708/7 - -101. Let m(l) = 28*l - 117. Let r be m(4). Which is the closest to -0.1? (a) r (b) 4 (c) u (d) 0.5 c Let r = 2.273 + 0.727. Let h = -0.72 - -0.6. Let m = -0.08 + h. Which is the nearest to -1/4? (a) r (b) m (c) -2/3 b Let g be 6/(-30) - (2 - -1)/(-9). Let o = 61.6 - 61.1. Let k = 3 + -4. Which is the closest to k? (a) o (b) g (c) -2/7 c Let u be ((-3)/1)/((-969)/(-38)). What is the closest to -9 in -5, -0.1, u? -5 Let u = -429.2 - -4.2. Let h = u - -427. What is the closest to h in 8, -0.1, 1/8? 1/8 Let y be (-14)/(-98)*-2*(-2)/(-2). Let i = 538 + -526. Which is the nearest to 0.1? (a) -1/3 (b) i (c) 3/7 (d) y c Suppose -1 = -3*o + 5*m, 4*o - 6*m = -5*m - 10. What is the nearest to 3 in 0.31, o, 1? 1 Let t = -1.3 - -76.3. Let u = -82 + t. What is the nearest to -0.1 in u, 0.2, -8? 0.2 Let k = 11049 + -11045. What is the closest to 1/7 in -2, k, -1/3, 0.1? 0.1 Let r = 1116 + -787. Let h = -396 + r. Which is the closest to 0? (a) h (b) -1/2 (c) 3 b Let d = -378 + 379. Let f(x) = -2*x**2 - 4*x - 3. Let h be f(-2). Let g be h/16*18 + 3. Which is the nearest to d? (a) g (b) -5 (c) 2/9 c Let k = 106 + -166. Let i = 56 + k. Let j = -2 - -3. What is the closest to j in i, -1, 5? -1 Let j = 0.3149 + -0.5149. What is the closest to 4 in 3, -14, j, 0.3? 3 Let w = 9821 + -9823. Which is the closest to 0.04? (a) 1 (b) -1/12 (c) w (d) 0.5 b Let u = -0.4631 - -0.2631. Which is the nearest to -11? (a) u (b) -6 (c) -1 b Let k be 40/(-45)*12/(-8). Let r = -10398 + 10403. Which is the nearest to k? (a) -2 (b) -1/3 (c) r b Let x = 10.5 + -6.4. Let h = x + 5.7. Let k = h + -10. Which is the closest to 1/3? (a) 2 (b) k (c) 6 b Let p(j) = 3*j + 24. Let l be ((-5)/2 + 2)*-8. Suppose -2*x + 2*f = 5 + 5, l*x + 2*f + 44 = 0. Let a be p(x). What is the closest to -0.1 in 1, a, -5? 1 Let c = -1.1563 + 1.4383. What is the closest to 2/3 in -0.4, -2, c, -0.2? c Let n = -10.081 + 15.081. What is the nearest to 1 in -0.1, -19, n? -0.1 Let n = -4996/5 - -999. Suppose 0*c = -4*k + 4*c + 32, -32 = -5*k + 3*c. Let w = 11 - 45/4. What is the closest to 2/11 in k, n, w? n Let q = 0 + 0.1. Let g = -2.386 + 1.386. Which is the closest to -1? (a) g (b) 16 (c) q a Let v = -1843.08 - -1843. Let a = -553/5 - -110. What is the nearest to 0.1 in -0.5, 4, a, v? v Let i = 3174 + -3174.5. Which is the closest to -2/11? (a) i (b) -0.3 (c) 12 b Let o = 3220.2 + -3223.2. Let u = -0.3 + 0.5. Which is the closest to u? (a) -1/9 (b) o (c) 1/23 c Let c(z) = -z + 72. Let l be c(73). What is the closest to 1 in -1/572, l, 2/9? 2/9 Let n = 0.6 - 0.6. Let q = -2 - n. Suppose -4*l + 2*m = -12, 0 = -96*l + 92*l - m. What is the nearest to l in q, -2/7, -2/5? -2/7 Let y be (9/(-2) + 6)*54/567. Which is the closest to -4? (a) y (b) 4/5 (c) 39 a Let s = -977 - -976.91. Let i = 0.04 - -1.87. Let v = s - i. Which is the nearest to 0? (a) 0 (b) -5 (c) v a Let x = 14.41 + -8.41. Let p = -7 - -9. Which is the nearest to x? (a) p (b) -2/9 (c) -2/7 a Let r(j) = -j**3 + 17*j**2 - 335*j + 5105. Let b be r(16). What is the closest to 2 in 1/6, -879, b, -5? b Suppose -4*b - 79 = u, 4*u = -3*b - 254 - 75. Let d = -194895/7 - -27759. Let q = d - u. What is the closest to 0 in -5, -0.2, q? q Let o = 19.3 + -19.299. Let s = o + -0.201. Suppose -5*i + 14 = -16. Which is the nearest to -0.1? (a) i (b) 3 (c) s c Let v = -1/728 - -733/3640. Which is the nearest to 2? (a) -0.3 (b) v (c) -4 (d) -0.8 b Let k be (-4 - 868/(-176)) + (-6)/8. Let f = 141 + -137. Which is the closest to -0.1? (a) f (b) 0 (c) k b Let j be -1 + 2 + 0 - 5. Let l be (-6)/(-9)*15/j. Let a = 11687.6 - 11688. What is the closest to 0.1 in a, l, -4/5? a Let h be 23/(552/(-150)) + 14/2. What is the closest to -1 in 1/4, -4, h, 23? 1/4 Let y = -58 - -51. Let d(g) = -g - 8. Let v(l) = l + 8. Let k(p) = 5*d(p) + 4*v(p). Let r be k(y). Which is the closest to r? (a) 2 (b) -1 (c) 0.1 b Let j be (-8)/20*15*7/63. Which is the closest to -27? (a) -1/6 (b) j (c) -11 c Let f = -839 + 1508. Let v = -669.5 + f. Which is the closest to 0? (a) 0 (b) v (c) 2/9 (d) -1/6 a Suppose 14 - 2 = 2*g. Suppose 9*q - g = 12*q. Let m be q*(-5)/(-4)*-2. Which is the closest to -0.1? (a) m (b) 2 (c) -3 b Let t be (-3300)/396*3/(-5). Let m = -4/21 - 10/21. Let q = -2/519 - 1016/5709. Which is the nearest to m? (a) 0.5 (b) t (c) q c Let h be (-5)/6*(-6)/15. Let t = -84.36878 - -0.36878. What is the nearest to 0 in t, h, 4? h Suppose 0 = 5*m + 34*v + 25, 0 = -2*m - 7*v + 6*v - 10. Suppose 4*z - 3*z - 14 = 0. Let r be 20/(-15)*1/z. What is the closest to 0.1 in -4/7, m, r? r Suppose 0 = -5*p + 110 + 145. Let f = 3.0935 + -0.0935. What is the closest to p in 2/5, -0.1, f? f Suppose -36*c + 59*c = -17 - 29. What is the closest to 5/4 in c, -1/5, -3? -1/5 Let r = 4182 + -4181.9. What is the closest to 0 in 49, r, 2/3, 1? r Let i = -0.074 + 2.474. Let r = 59/3 - 419/21. Which is the nearest to -1/3? (a) r (b) -2 (c) i a Let y = 68.19 + -69.19. Which is the closest to y? (a) -0.2 (b) -2/9 (c) 1/9 (d) 1/165 b Let h = -15.779 + 16.159. What is the nearest to 1 in -0.06, h, 0.06? h Let b = -3931 + 3930. What is the closest to b in 5, 1/69, 1/3? 1/69 Let r(t) = 3*t - 3. Let x be r(3). Suppose 2*d - 12 = x*d. Let u = 0.827 + -1.827. Which is the closest to u? (a) d (b) 5 (c) 1/5 c Let z = 40143.2 + -40143. Which is the closest to 3/14? (a) 216 (b) z (c) 4/3 b Let j = -23691/4 + 5923. Which is the nearest to j? (a) 27 (b) -7 (c) 0.5 (d) 5 c Let l be (-7)/(-2)*1*(-450)/(-525). Suppose 0 = j + 2*t + 9, 5*j = -t - l*t - 21. Which is the closest to j? (a) -6 (b) -0.04 (c) 3 b Let p = -6165/34 + 363/2. Let l(j) = -j**3 - 5*j**2 - 4*j - 1. Let a be l(-4). Let v be (-244)/305*(0 - 5/18). What is the closest to a in -5, p, v? p Let g = 719 - 723. What is the nearest to -3 in 5, 2, g? g Let m = 54217/101 - 198661915/369963. Let w = -2/333 + m. What is the nearest to 5/3 in -3/4, -3, w, 2/5? 2/5 Suppose -3*w + 18*w - 98 = w. Let o = 89/2 + -45. Which is the closest to 0.2? (a) -0.1 (b) w (c) -2/7 (d) o a Let n = -8650 + 8653. Which is the nearest to -4? (a) 2/3 (b) n (c) -3/8 (d) 3/5 c Let d(b) be
{ "pile_set_name": "DM Mathematics" }
. Let b be (-8)/(416/60) + z. Sort -0.01, b, -0.2. -0.2, b, -0.01 Let t = 16 + -15.7. Let a = 6 + -31. Let b = a + 38. Sort t, -3, b in descending order. b, t, -3 Let w = 473/318 - -2/159. Let p = 178 + -174. Sort w, p, 3. w, 3, p Let s be 6/(-3) + -2 + 7. Let w be (-4)/6*165/22. Sort s, -2, w in decreasing order. s, -2, w Let g(a) = 14*a + 111. Let q be g(-8). Put q, -2, -8 in descending order. q, -2, -8 Suppose 3*l = 9, -2 = 3*n - 3*l + 1. Suppose -1 = 2*u - 5. Suppose u*m - 20 = 7*m. Put n, 0, m in increasing order. m, 0, n Let h = 14 + -46/3. Put h, 0.1, -2, -3 in decreasing order. 0.1, h, -2, -3 Let p(l) = -9*l - 60. Let c be p(-7). Sort 11, c, 5, -5 in descending order. 11, 5, c, -5 Let z be 0/(-6 - (-20)/4). Put z, 17, 3, 5 in descending order. 17, 5, 3, z Let c = -133 - -137. Put c, -0.3, 19 in increasing order. -0.3, c, 19 Let h = -13 + 19. Let u be 1/(3 + (-39)/h). Sort u, -5, -2. -5, -2, u Let t be (3/15)/(-1) + (-60)/(-175). Let r = -0.06 + 0.26. Let g = r - -0.8. Put g, -12, t in decreasing order. g, t, -12 Let g = 9.1 + -156.1. Let i = g + 147.5. Put -0.2, -2, i, 2 in decreasing order. 2, i, -0.2, -2 Let u = -163 - -152. Suppose -5*l = -3*q - 0*l + 40, -4*l = 2*q + 10. Sort u, q, 3. u, 3, q Let v = 80 - 82. Sort v, 4, 1 in decreasing order. 4, 1, v Let t = 936 - 939. Sort 2, 26, t, 1 in descending order. 26, 2, 1, t Let s(w) = -w**3 + 2*w**2 + w + 2. Suppose -13 = -4*l - 5. Let n be s(l). Suppose n*f = 2*f - 2. Sort f, 2, 5. f, 2, 5 Let n be (-2)/4*-1*32. Let w = n + -9. Let q = w + -11. Put q, 0, 2 in ascending order. q, 0, 2 Suppose -q - 11 = -19. Let l(k) = k**3 - 9*k**2 + 8*k + 5. Let v be l(8). Sort q, -1, v in decreasing order. q, v, -1 Let p be (-126)/81*1/(-7). Put 1/8, p, -2, -17 in ascending order. -17, -2, 1/8, p Suppose 38 = -3*s - 5*a + 4*a, -58 = 3*s - 4*a. Sort s, 1, -1, 8 in descending order. 8, 1, -1, s Let l = 1.82 - 1.52. Sort 5, -2/17, l, 0.1 in ascending order. -2/17, 0.1, l, 5 Let y = 3.8 - 0.8. Let b = y - 2. Let t = 87.3 + -87. Put t, b, -0.5 in decreasing order. b, t, -0.5 Let w(r) = -r**2 - 24*r - 62. Let t be w(-21). Sort -4, 26, t in descending order. 26, t, -4 Let b = -228 - -917/4. Sort 0, -23, 4, b in decreasing order. 4, b, 0, -23 Let s = 92 - 92.1. Put s, 25, -1, -5 in increasing order. -5, -1, s, 25 Let f = 0.07 + -0.27. Let z = 97 - 93. Sort 1/2, f, z, 0.4. f, 0.4, 1/2, z Let i = -17.52 + 17.72. Let u be 4/(-1*(-1)/(-2)). Sort -0.1, u, i in ascending order. u, -0.1, i Let v be (-1036)/21 - (-1)/(6/2). Let u = 49 + v. Sort -1, -4, u, -2 in decreasing order. u, -1, -2, -4 Let y = 996.2 + -996. Put -12, y, 1/2 in increasing order. -12, y, 1/2 Let f = -608 - -266. Sort 0.1, -3/5, f in decreasing order. 0.1, -3/5, f Let x = 2.03 - 1.97. Let k = -0.2 + 0.1. Let t = -4/13 + 45/104. Sort k, x, t in descending order. t, x, k Suppose -5*f + 3*f = 4*y + 18, -y + 6 = -3*f. Let q be (9*(-2)/(-15))/(128/320). Put 5, q, y in descending order. 5, q, y Let g = -3.7 + -0.3. Suppose 0*o + 3*o = 3. Let a be o*-3 - 19/(-7). Sort g, -0.4, a in descending order. a, -0.4, g Let p = 294 - 163. Let y = 131.4 - p. Sort y, -10, -0.06 in descending order. y, -0.06, -10 Let f = -1.3 + 1.1. Let c = 8.8 - f. Let l = 8.8 - c. Sort 5/4, l, 0.3 in decreasing order. 5/4, 0.3, l Suppose -b - 12 = 5*u, -4*u - 6 = -b + 9. Let o = -1 + 4. Suppose o*q - 6*q = -12. Sort b, 5, q in increasing order. b, q, 5 Let o = -2 - -5. Let n = 3 + -3.3. Suppose -2*h - 5*c + 29 = 5, 3*c = 4*h + 4. Sort h, n, o in decreasing order. o, h, n Let p(u) = u**3 + 6*u**2 + 6*u. Let v be p(-4). Suppose -3*f = -4*f + 9. Let x be (-10)/3*f/(-15). Put 3, x, v in decreasing order. v, 3, x Let y(g) = -g**2 - 11*g + 2. Let o be y(-12). Let r = o - -12. Suppose 8 = -r*n - 4*z, -z - z - 6 = 0. Sort 3, 5, n in decreasing order. 5, 3, n Suppose 0 = -4*m + 12. Suppose g - m*p - 22 = 0, 3*g - 3*p = 10 + 26. Let w be (-6)/4 + g/(-2). Sort -1, w, 2 in decreasing order. 2, -1, w Let s(y) = 3*y**2. Let x be s(-1). Let q(j) = -j**3 + j**2 + j. Let m be q(-1). Suppose -3*i + 7 = m. Put -4, x, i in increasing order. -4, i, x Let n be 31 - 30 - (0 + (1 - 0)). Suppose 2*g - 8 + 0 = n, -4*z + 8 = -2*g. Let v be (-33)/9 + (-2)/(-3). Put 3, z, v in ascending order. v, 3, z Let w be (-3)/1 - -20 - -3. Suppose 0 = 4*n + u + 4*u - 27, 3 = -4*n + 5*u. Suppose -14 = z + n*z + d, -w = 4*z + 4*d. Put z, 2, 3 in descending order. 3, 2, z Let t(g) = -g**3 + 4 + 0 - 8*g**2 - 1. Suppose c + 49 = -4*j + 22, -4*j - 52 = -4*c. Let s be t(j). Sort 0, 0.2, s in descending order. s, 0.2, 0 Let j = -0.5 + 0.94. Let b = j + -0.14. Let x be (-21)/9 - (-1 + -1). Sort b, x, 2 in decreasing order. 2, b, x Let c(s) = -3*s + 41. Let p be c(12). Let w = 2 - 2.2. Sort 1/2, p, 0.06, w in increasing order. w, 0.06, 1/2, p Let v = 6.08 - 6. Let s = v + 2.92. Let d = -0.467 + -3.533. Sort -2, s, d. d, -2, s Let j = -0.031 - 0.349. Let b = 0.62 - j. Put 1/9, 2, b, -1 in descending order. 2, b, 1/9, -1 Let a = -0.85 - 0.15. Sort -3, a, -1/2, 2. -3, a, -1/2, 2 Let i = 121/12 + -31/3. Sort 2/245, i, 3 in descending order. 3, 2/245, i Let c = -789 - -792. Put c, 1, -1 in descending order. c, 1, -1 Let c = 329 - 325. Put -5, c, -0.2, 0.3 in descending order. c, 0.3, -0.2, -5 Let y be ((-6)/7)/((-77)/(-98)). Sort y, 2, -0.4 in descending order. 2, -0.4, y Let c = 4615 - 4616. Let t = -6 - -4. Put -4, c, -0.3, t in decreasing order. -0.3, c, t, -4 Suppose 0 = -4*u - 2*o + 38, 24*u - 19*u + 2*o = 45. Put 3, u, -5, -11 in descending order. u, 3, -5, -11 Let z = 10.77 - 11.17. Sort 1, -4, z, -12 in descending order. 1, z, -4, -12 Let o = 105/584 + -4/73. Let x = 2 + -4. Let f = 2.192 + -7.192. Put o, f, x in descending order. o, x, f Let d = -1693 + 1698. Put 6/17, d, -5/4, 3 in decreasing order. d, 3, 6/17, -5/4 Let r = -2 + 2.5. Let b = 107.7 + -108.2. Put -4, r, b in descending order. r, b, -4 Let c = -77 + 79. Let a = -29 + 30. Sort -2, -4, a, c in ascending order. -4, -2, a, c Let f(x) = 3*x**3 - 23*x**2 - 7*x - 5. Let j be f(8). Let l(t) = -t**2 - 5*t - 4. Let b be l(-5). Sort j, 2, b, 5 in ascending order. b, 2, j, 5 Let f(u) = 22*u + 124. Let s be f(3). Sort s, 0, 1 in ascending order. 0, 1, s Suppose 9*t = -t - 6*t. Sort 3, t, 6, -1. -1, t, 3, 6 Let d = 2142 - 2140. Let n be (15/4)/(1/(-4)). Let x be (3/n)/(d/10). Sort 4, x, 2. x, 2, 4 Let s = 43.9 + -44. Put -2, -1, 0.01, s in decreasing order. 0.01, s, -1, -2 Let x be (-52)/42 - (-2)/3. Let n = -112 - -130. Let d = n - 13. Put x, -2, d in decreasing order. d, x, -2 Let b = 0.09 - 0.3. Let w = b + 0.01. Let t = 4.1 - 5.1. Sort w, t, 0.4 in descending order. 0.4, w, t Let t = -0.24 - -0.31. Let g = t + 0.14. Let n = g + 0.29. Put n, -1/2, -2/17 in descending order. n, -2/17, -1/2 Let l(h) = -2*h**3 + 9*h - 4. Let p(d) = 5*d**3 - 26*d + 11. Let w(a) = -17*l(a) - 6*p(a). Let q be w(-1). Sort -1, 5, q in ascending order. q, -1, 5 Let d = -206 + 96. Let j = d - -114. Put -3, -2, j, 5 in ascending order. -3, -2, j, 5 Let a = 1671 - 341. Let n be 19/76 + (a/(-584) - -2). Sort 2, 0.2, n in increasing order. n, 0.2, 2 Let u = 45 + -27. Let f = -14 + u. Put -2, 2/25, f in decreasing order. f, 2/25, -2 Let o = -10/407 + -1558/2849. Sort 0.023, o, -8 in decreasing order. 0.023, o, -8 Let x = 560 + -555. Put -1, x, -27 in decreasing order. x, -1, -27 Suppose -23 + 143 = -5*h. Let u be (0 - 1/1) + (-8)/h. Sort -0.5, u, -5 in decreasing order. -0.5, u, -5 Let o be (3 - (31 - 4))*(-7)/3. Sort o, 1, -5 in decreasing order. o, 1, -5 Suppose -4*s + 27 = 7. Suppose f + 4 = s*f. Put -7, f, 0 in decreasing order. f, 0, -7 Let w be 3/(-3)*(3 - 2). Sort 104, -4, 0.2, w in ascending order. -4, w, 0.2, 104 Suppose -2*r - 35 = -35. Sort -23, r, 2 in increasing order. -23, r, 2 Suppose -4*j + 4*w - 12 = -0, 27 = -4*j - w. Let x(c) = -c - 24. Let q be x(j). Sort q, 4, 5. q, 4, 5 Suppose -2*c + 1 + 3 = 3*x, -2*c + x = -4. Sort c, 8, -4/5, 0.4. -4/5, 0.4, c, 8 Let z = -87 + 11. Put 0, -4, z, 1 in increasing order. z, -4, 0, 1 Let d = 29 - 16. Let m(w) = -w**2 + 14*w - 15. Let l be m(d). Sort -2/19, 2/3, l in ascending order. l, -2/19, 2/3 Let d(h) = 2*h**2 + 20*h - 3. Let c be d(-10). Sort c, -2/9, 33. c, -2/9, 33 Let u be 0*((-12)/8 - -2). Let f = 4 - -3. Suppose -8*y + f*y = u. Put y, 5,
{ "pile_set_name": "DM Mathematics" }
88 = -0*m + m. Is v prime? True Suppose -5*b + 9*b = 1192. Suppose -b = -4*j + 3*j. Is j a composite number? True Suppose i = 2*i - 20. Suppose 3*x = x + i. Is x prime? False Let t = 3 - -2. Suppose z = 6*z - t. Is 3/(1/(0 + z)) a prime number? True Suppose 0 = -3*k - 2*b + 271, 5*k + 3*b + 226 = 678. Suppose -o + k = -0*o. Is o prime? False Let k(f) = -f**3 + 6*f**2 - 6*f + 7. Let z be k(5). Suppose -408 = -z*d + 2*w, -d = -3*d + w + 407. Is d composite? True Suppose 9*u - 680 = u. Is u a prime number? False Let l(v) = 51*v - 13. Is l(6) a composite number? False Is (0 - -693) + 3 + -5 a prime number? True Let b = -4 - -57. Let a = -39 + 21. Let z = b + a. Is z a composite number? True Suppose 2*d + 5 = 9. Suppose 0 = 4*s - d*s - 254. Is s prime? True Let y = -48 - -149. Suppose 14 = 4*r - 30. Is 6/(-33) + y/r a composite number? True Let q be 1730/(-2)*(-2)/2. Let x = q - 398. Is x a prime number? True Suppose -7*i + 155 = -783. Is i composite? True Suppose 5*w = 2*j - 3607, j + 3*w = 5*w + 1805. Is j a prime number? True Let o be (-5)/(-10) - 15/(-2). Suppose 0 = 2*p - 10, 2*l - 3*p + o*p = 63. Is l prime? True Is 3/9 + 496/6 a prime number? True Let d be (15/(-10))/((-2)/4). Suppose d*o = -5*b + 7*o + 70, -15 = b + 5*o. Is b a composite number? True Let t(v) be the second derivative of -v**5/20 - v**4 - 13*v**3/6 - 6*v**2 - v. Let x be t(-11). Suppose -2*z = -4 - x. Is z a composite number? False Let k = 4 - 1. Is 0 - (-8)/(k + -1) a composite number? True Let z(s) = -s + 7. Let y be z(6). Let n be -2 - 183/(-2 - y). Suppose -n - 36 = -p. Is p prime? False Let i(o) = -o**2 - 4*o - 4. Let d be i(-3). Is -158*(d/2 - 0) composite? False Let n(c) = 6*c + 2. Let r = -6 - -4. Let f be n(r). Is 2/(-6) - f/3 a prime number? True Let x(i) = -5*i**2 + i - 6. Let j(o) = -4*o**2 + 2*o - 5. Let u(q) = -6*j(q) + 5*x(q). Let v be u(-5). Is (-219)/(-7) + v/(-35) a prime number? True Let p = 2834 + -1981. Is p a composite number? False Let b = 253 - -120. Is b a composite number? False Let h = 2022 + -59. Is h a composite number? True Let h(q) = 10*q**2 - 4*q - 4. Let d be h(-5). Let s = d - -107. Is s composite? False Is 0 + (1298/(-55))/(1/(-5)) composite? True Let x be 1*(3 - (-56)/2). Is (x/(-2))/(1/(-2)) composite? False Let f = -7 - -13. Let g(r) = 3*r + 8. Let x(k) = -3*k - 9. Let n(z) = 6*g(z) + 5*x(z). Is n(f) a prime number? False Suppose -4*v - 18 = -o - o, o + 2*v + 3 = 0. Suppose -2*a = w - 40, 6*w + o*a = 7*w - 25. Is w a prime number? False Let q(i) = -i**3 - 6*i**2 - 6. Let g be q(-6). Let u be 0/(g/(-2 + -1)). Suppose y + 2*y + 9 = u, -4*y + 25 = t. Is t prime? True Let u = -390 + 955. Is u composite? True Let q be (-1)/(2/62*-1). Let c = -4 + q. Let r = c - 8. Is r prime? True Let i(q) = 61*q - 48. Is i(5) a prime number? True Let y(b) = b**3 + 2*b + 1. Let j = 4 - 5. Let d be y(j). Is (d - -1)*(1 - 10) a composite number? True Let h be 8854/30 - (-14)/(-105). Suppose 0 = -5*d + 2*y + 3*y + 295, 5*d - h = 4*y. Is d a prime number? True Suppose -3 = -l - 0*q + 2*q, -2*l + 3*q + 5 = 0. Suppose -3*d + 0*d + 39 = 0. Let k = l + d. Is k composite? True Suppose 80 = -c - 327. Let y = -280 - c. Is y prime? True Suppose b = -0 + 5. Let g be -1 + (0 + b - 2). Suppose -g*o + 5*v = -43, 5*o + 2*v = 91 + 2. Is o a prime number? True Let z = -11 + 16. Suppose 2*m = 2*j + m - 679, -5 = z*m. Is j a composite number? True Let a(y) = -1 + 3*y - 4 + 0 + y. Is a(6) composite? False Suppose 0 = -2*q + 59 - 17. Is q a composite number? True Is (16/(-18))/(-4) + (-16934)/(-18) composite? False Let o(b) = 4*b**3 + 4*b**2 - 9*b + 14. Is o(4) a prime number? False Let r(m) = -m + 55. Let g(i) = -3*i + 164. Let f(y) = -6*g(y) + 17*r(y). Let w be f(0). Is w/(0 + (-1)/1) composite? True Is ((-2)/(-8))/(3/4548) prime? True Let j(h) = -h**2 - 10*h + 3. Let u be j(-7). Is u/(-9)*(-6)/4 prime? False Let g = 6 + -4. Let x be g*-1 + 5 + -10. Let o(a) = -6*a + 5. Is o(x) composite? False Suppose -6 = c - 0. Let y(v) = -v - 6. Let w be y(c). Suppose 0 = -w*i + 2*i - 44. Is i prime? False Suppose v - 2*k = 33, -v + 217 = 4*v + 3*k. Let c(l) = -2*l**3 + 4*l**2 - l - 1. Let a be c(3). Let z = v + a. Is z prime? True Let j be 7*-25*(-2)/5. Let x(d) = -2*d**2 + d + 6. Let t be x(5). Let h = t + j. Is h composite? False Let z = -13 - -17. Suppose -z*q + 553 = 29. Is q a prime number? True Is ((-2)/3)/(44/(-42306)) composite? False Let r = -1248 + 2057. Is r a prime number? True Suppose 0 = -0*f + 3*f - 21. Let r(u) = 6*u + 26. Let c(i) = i + 5. Let d(x) = -11*c(x) + 2*r(x). Is d(f) a prime number? False Let r(b) be the second derivative of -b**5/30 + 5*b**4/24 - b**3/3 - 2*b. Let h(l) be the second derivative of r(l). Is h(-7) a composite number? True Let i(m) = 5*m**2 - 10*m + 8. Is i(7) a prime number? False Let c(m) = m**2 + 10. Is c(5) a composite number? True Suppose 4*b = -3*s + 24, 0 = -0*s + 4*s + b - 19. Suppose -s*c + 8 = 3*m, 0 = -m - 0*m - 3*c + 11. Let p = m + 10. Is p composite? True Let c(o) = -90*o - 2. Is c(-6) composite? True Suppose 2*m + 476 = 5*t, -6*t + 2*t = 2*m - 370. Is t prime? False Let m(p) = -132*p**3 + p**2 + 1. Is m(-2) prime? True Let o = 157 - 72. Is o a composite number? True Suppose 3*s = -2*z - 0*z + 201, 0 = -5*s + 25. Suppose -2*k + 3*k - z = -2*v, -k = 3*v - 90. Let g = -46 + k. Is g a prime number? True Let u be 3/(-3)*0/(-6). Let l(j) = j**3 + j**2 - j + 299. Is l(u) a composite number? True Suppose -3*t - 484 = -2*t. Let l = 699 + t. Is l a prime number? False Suppose -1 = -d - j, 0*j - 24 = -3*d + 4*j. Let l(z) = z**2 - 7*z + 2. Let w be l(d). Is ((-14)/3)/(w/75) prime? False Suppose 2*z - 171 = 4*l + 63, 3*l - 213 = -2*z. Is z a composite number? True Suppose 0 = 5*k + 4*t + 40, k + 4*t = -20 - 4. Let d be k/(-20) - (-48)/10. Suppose -l = d*c + 6 - 98, c + 382 = 5*l. Is l composite? True Is 596*(1 - 0)*(-10)/(-8) composite? True Suppose -9 = -c - 2*t, 2*t - 5 = -1. Suppose 1280 = 5*j - 5*f, -j + 4*f - 984 = -c*j. Is j a prime number? True Suppose 0 = -5*o, 2*n - 399 = -5*o + 31. Is n prime? False Let m(h) = 66*h**3 - 5*h**2 + 5*h + 5. Is m(3) a prime number? False Let a be (-52)/(-12) - (-1)/(-3). Let j(z) = -z**3 + 4*z**2. Let g be j(a). Suppose -3*q = -3*f + 261, 0 = -f - 3*q - g*q + 79. Is f composite? True Let j = 20 - -145. Suppose 2*g + j = 3*g. Let o = g + -86. Is o a prime number? True Suppose -4*w + 2 = -6. Suppose w*n - 110 = -0*n. Is n prime? False Suppose -2*h = -1180 - 3294. Is h a prime number? True Let y = 9 + -10. Is -14*(-3)/(-6)*y composite? False Let w(u) = 12*u**3 + u**2 - 3*u + 3. Let q be w(2). Suppose -2*s - 222 = 2*x, -q - 498 = 5*x - 5*s. Let t = x + 202. Is t composite? True Let h(u) = -u - 1. Let w be h(-4). Suppose w*c + v - 12 - 2 = 0, 0 = -2*c + 5*v + 15. Suppose -c*n = -0*n - 165. Is n a prime number? False Let w be 1*(0 - -1)*17. Let j(z) = 10*z - 24*z + 2 - w*z. Is j(-5) a composite number? False Suppose 9*v - 2278 = 8477. Is v a prime number? False Is 1341/7 + 8/(-14) a composite number? False Let q be 6/21 - 2220/(-21). Suppose q = 5*r + 2*a - 489, 5*r - 3*a - 620 = 0. Is r a composite number? True Let z be -1 + 3 + 0/4. Let y be 46/4*(3 - -1). Suppose 0 = -z*m + 3*m - y. Is m a composite number? True Let z(f) = 16*f**2 + 5*f + 19. Is z(-8) prime? False Let l = 71 - 111. Let k = l + 170. Suppose -5*s = -k + 25. Is s composite? True Suppose 0 = 5*y - 3*y - 5*q - 1, 1 = q. Suppose u - 292 = -4*t, 0 = 4*t - 5*u - 47 - 269. Suppose -i + y*i = t. Is i a prime number? True Let v be 1/(-4) - (-13)/4. Suppose j = -v*j + 20. Suppose 25 = -5*b, -j*p + 3*b + 33 + 52 = 0. Is p prime? False Is 50 + (-5 - (-5 - -3)) a prime number? True Let s be (-14)/(-6) - 12/(-18). Suppose -s*y = -y. Suppose -3*g + 0*g + 477 = 4*i, -g - 5*i + 148 = y. Is g prime? True Suppose -4*b = -0*b + 3*q - 47, -4*q = 12. Suppose 3*n + 2*a - 11 = 0, -2*n + 0*a + 4 = 2*a. Let r = n + b. Is r a prime number? False Let s = 45 + 7. Suppose w - s = 11. Suppose -4*j + 4*r = -5 - w, 2*j - 30 = 3*r. Is j composite? True Suppose 0 = 3*j - 2*w - 39, -5*j + 30 = -4*j + 5*w. Suppose 2*h = o + 7*h + j, 3*o - 5*h = 15. Is (o - 2) + (-55)/(-1) a prime number? True Let n(o) = -3*o**3 - 3*o**2 + 2*o + 9. Is n(-6) a composite number? True Suppose -5305 =
{ "pile_set_name": "DM Mathematics" }
-y**3 + 6*y**2 + 8*y - 6. What is the units digit of s(7)? 1 Let v(c) = -c**3 - 6*c**2 - 2*c - 6. Let t be v(-6). Let h(r) = r**2 - 6*r + 4. Let m be h(t). Let o(d) = d + 1. What is the units digit of o(m)? 5 What is the units digit of 46*(-12)/(-32) + 6/8? 8 Let i = -9 + 11. Let o(l) = 2*l**2 - 2*l - 2. What is the units digit of o(i)? 2 Let g(j) = -j**2 + 4*j - 11. Let q(v) = 2*v**2 - 7*v + 22. Let w(d) = 7*g(d) + 4*q(d). What is the units digit of w(0)? 1 Let k(g) = 0*g - g + 8 - 3 + 2. What is the units digit of k(-9)? 6 Let u be -100*(21/(-12) - -1). What is the tens digit of (-15)/u - 492/(-10)? 4 Suppose -5*o + 265 = -0*o. Let q = -38 + o. What is the units digit of q? 5 What is the units digit of (11 + -113)*4/(-6)? 8 Suppose -102 = -5*q + 2*q. What is the tens digit of q? 3 Suppose j = -j + 4. What is the tens digit of 16 + 4 + j/(-1)? 1 Let f = 18 + -10. Suppose 0 = o - 0 - f. What is the units digit of o? 8 Let g(b) = 13*b + 72. What is the units digit of g(18)? 6 Let l(j) = -j. Let r(c) = 7*c - 4. Let n(u) = -2*l(u) - r(u). What is the tens digit of n(-2)? 1 Suppose -2*s - 10 = 5*o, -4*s + 0 = o + 2. Suppose -52 = -2*g - 20. Suppose -k + 3*k - g = s. What is the units digit of k? 8 Let g(y) = y**2 - 3. What is the units digit of g(4)? 3 Let p be ((-44)/(-6))/((-5)/(-15)). Let h = -1 + p. What is the tens digit of h? 2 Let p(f) = -f**3 - 4*f**2 + 3*f - 4. Let w be p(-5). Suppose -5*s = 4*l - 24, w*l - 2*l - s - 24 = 0. Suppose 0 = 2*y - l - 8. What is the units digit of y? 7 Let w(z) = 2*z**3 - 5*z**2 + 6*z + 3. What is the tens digit of w(4)? 7 Let l(z) = 10*z**2 - z + 1. Let t(n) = n - 1. Let k be t(2). What is the units digit of l(k)? 0 Suppose -2*u = 3*y + 2*u - 8, 0 = 2*u + 2. Suppose -6 + 28 = r + 2*t, 16 = 3*r - y*t. What is the units digit of r? 2 Suppose 17 = 4*h - 123. What is the units digit of h? 5 Suppose -4*y = -125 + 21. What is the units digit of y? 6 Let m(c) = c**2 + 2*c + 3. Let k be m(-3). Suppose -18 = -3*y + k. What is the units digit of y? 8 Let p be (-1)/(-3)*(-12)/(-2). Let r = -10 + 13. Suppose 0 = r*c + 6, -g + p = -0*c + c. What is the units digit of g? 4 Let u(a) = 3 + a - 3 + 1. Let w be u(2). Suppose 20 = c + w*c. What is the units digit of c? 5 Suppose -3*p - 17 = -v, 0 = 6*p - 3*p + v + 7. Let m be p/10 + 72/5. Suppose 10 + m = 3*b. What is the units digit of b? 8 Suppose -4 - 9 = -v. What is the units digit of v? 3 Let v = 10 + 0. Let o(b) = b**3 + b**2 - 2*b + 2. Let z be o(-3). What is the units digit of (8/z)/((-1)/v)? 8 Suppose -f + 4*m + m = 11, -4*f + 4*m = -4. Suppose 0 = 3*v - f*v + 14. What is the tens digit of v? 1 Let p(t) = t + 3. Let r be p(5). Suppose m - r = 5. Suppose 2*g - 12 = -2*g, -m = -4*f - 3*g. What is the units digit of f? 1 Suppose -9*u = -14*u + 350. What is the units digit of u? 0 Suppose 0 = d + 3*l + 11, -3*l - 2 = 4*d - 3. Let q be (d/(-6))/(8/(-12)). What is the units digit of (-4)/(-12)*q*27? 9 Let m = 17 + -1. What is the units digit of m? 6 Let q be 1 - 1 - (-2 - 11). Let r = 7 - q. Let i = 14 + r. What is the units digit of i? 8 Let h(w) = -w**3 - 6*w**2 + 10*w + 6. Let l be h(-7). Let m = 13 + -38. Let u = l - m. What is the units digit of u? 0 Let b = -220 + 414. What is the units digit of b? 4 Suppose 3*p = 2*s + 65, s - p = -3*p - 43. Let q be (s - (-1)/(-1))*-1. Suppose -2*l = -4*t + 34, -l = -3*t + 3*l + q. What is the units digit of t? 6 Suppose 0 = 3*s + 2*j - 166, -s + 5*j + 45 = -33. What is the tens digit of s? 5 Let r be (15 - -3) + 2 + 1. Let n = r - 14. What is the units digit of n? 7 Let y = 218 - 189. What is the units digit of y? 9 Suppose 5*p + 30 = 4*f, -4*f - p + 16 = -2. Suppose 0 = -f*c + 5 + 20. What is the units digit of c? 5 Let k(b) = 4*b + 10 - 4 - 3*b. Let u be k(-4). Suppose -5*g + v = -40, 2*g = 3*v + u*v - 7. What is the units digit of g? 9 Suppose 0 = -5*k + 3 + 2. What is the units digit of k/(1/6*2)? 3 Let y(d) = -d**2 + 8*d - 10. Let h be y(10). Let f = h - -43. What is the tens digit of f? 1 Suppose -22 = -s - 7. Suppose -41 = -4*a + 5*j, -3*a - j + 3*j + 22 = 0. Suppose -s = -a*g + 13. What is the units digit of g? 7 Let m(z) = -z**2 - 15*z - 12. Let n be m(-12). Let r = 1 + 3. Suppose -4*g = 2*w - 8, 0*w + 2*w - n = r*g. What is the units digit of w? 8 Let a = 289 - 66. What is the hundreds digit of a? 2 What is the units digit of 802*3/18 + (-9)/(-27)? 4 Let n = -1 + 15. Let t = 25 - n. What is the tens digit of t? 1 Let u = 446 - 236. What is the hundreds digit of u? 2 Suppose 6*g = g - 30. Let y be 2/g*0 - 0. Suppose -2*c + 12 = -y*c. What is the units digit of c? 6 Suppose -3*d + 62 = -4*l, -2*d - 142 = -7*d - 3*l. What is the tens digit of d? 2 Let w be (-1405)/(-10) + (-6)/(-4). Suppose w = -i + 3*i. Suppose -3*p + 58 + 7 = 5*a, i = 5*p - a. What is the units digit of p? 5 Let g = 617 - 341. What is the hundreds digit of g? 2 Let b(z) = z**2 + 4*z + 3 + 0 + 0*z**2 - z**3 - z. What is the units digit of b(-2)? 9 Let t be -1*2*12/(-8). Suppose -2*w = -3*b + 37, t*b - 21 = w + 11. What is the units digit of b? 9 Let v(r) = -22*r + 2. Let q(s) = -s**3 + 3*s**2 - s + 1. Let p be q(3). What is the units digit of v(p)? 6 Suppose 0 = 3*m - 274 - 152. What is the tens digit of m? 4 Let i be (1/5)/((-5)/(-25)). What is the units digit of (41/(-3) - i)*-3? 4 Let r be 10 + -3 + -3 + -1. Suppose 2*v - 17 = 2*p + p, -24 = -r*v + 5*p. What is the units digit of v? 3 Let f(g) = -g - 4. Let m = 12 - 6. Let r be f(m). What is the units digit of (r/3)/((-2)/3)? 5 Let a be 0*(-3)/(-6) + 2. Let q be 6*(a/(-3) + 1). What is the units digit of (q + -3)*-2*4? 8 Let c(d) = -d**2 + 8*d + 4. Let h be c(6). Suppose -3*q = -h - 14. What is the units digit of q? 0 Suppose 4*o + o = -100. Let r = 34 + o. What is the units digit of r? 4 Let f be (0/1)/(-5 + 6). Suppose 2*q - 80 = -f*q. What is the tens digit of q? 4 Let r(c) = -c**3 + 16*c**2 + 23*c + 9. What is the hundreds digit of r(17)? 1 Let t(d) = d**3 + 7*d**2 - 3. Let r be t(-7). What is the units digit of (-12)/((-9)/(-6) + r)? 8 Let g = -5 + 2. Let t = 11 + g. What is the units digit of t? 8 Let b be ((-12)/(-10))/((-1)/5). Let z(j) = -3*j + 23. Let c(k) = -2*k + 15. Let x(u) = 8*c(u) - 5*z(u). What is the units digit of x(b)? 1 Suppose 3*j + 0 = 27. Suppose 2*u - j = 7. What is the units digit of u? 8 Let v = -19 + 19. Suppose v = -6*j + 5*j + 25. What is the tens digit of j? 2 Let a(r) = 6*r - 2. Let j be a(-5). Let p be (j/24)/((-2)/12). Suppose -v + p = v + 5*d, v - 4*d = 30. What is the tens digit of v? 1 Let k(x) be the first derivative of x**4/4 + x**3/3 - 2*x**2 - 4. What is the units digit of k(3)? 4 Let a(v) = 2*v**2 - 2*v + 0*v - v. What is the units digit of a(2)? 2 What is the hundreds digit of 311/2 + (36/8)/(-3)? 1 Suppose 2*p = 10, -3*j - 5*p = 4 - 41. Let b(x) = -x**2 + 7*x + 4. Let g be b(5). Suppose -g = -j*r + 22. What is the units digit of r? 9 What is the tens digit of (261/(-6))/(9/(-24))? 1 Let z = -15 + 32. What is the units digit of z? 7 Let x be ((-6)/(-15))/((-1)/5). Let s = 1 - x. What is the units digit of s? 3 Let p = -190 + 413. What is the units digit of p? 3 Let p(n) = 4*n**2 - n. Let h = 10 + -10. Suppose -2 = -l - h. What is the units digit of p(l)? 4 Suppose k = 3*d - 19, 3*d + k - 9 = 14. What is the units digit of 8/28 + 103/d? 5 What is the hundreds digit of 908/7 + (-9)/((-378)/12)? 1 Let q(m) = 16*m. Let t(y) = -481*y. Let k(v) = 91*q(v) + 3*t(v). What is the units digit of k(1)? 3 Suppose -3*v - 45 = -5*h - 7*v, -3*h + 27 = 5*v. What is the units digit of h? 9 Let g = 119 + -79. What is the units digit of g? 0 Let l(j) = -j**2 + 12*j + 6. What is the units digit of l(7)? 1 Let c = -24 - -175. What is the hundreds digit of c? 1 Suppose 0 = -x - 0*x + 34. Let y = x + -16. What is the units digit of y? 8 What is the tens digit of (0 + -2)*7/(7/(-66))? 3 Let b(y) = 3*y - 1. Let h be b(1). Suppose h = k - 3. What is the units digit of k? 5 What is the units digit of 3/15 - (-145)/25? 6 Let o(w) = w**2 + 7*w + 15. Let v = -18 - -9. What is the tens digit of o(v)? 3 Suppose 5*w = 2*w - 3*a + 3, 3*a + 5 = -w. What is the units digit of w? 4 Let i = -45 + 74. What is the units digit of i? 9 Let w(g) = -3*g - 3. Let j be 2 + (-2)/(-1) + -7. What is the un
{ "pile_set_name": "DM Mathematics" }
- 1094. Let p(u) = -33*u - 1. Determine b(x) + 6*p(x). -2*x - 1100 Let b be ((-14)/(-4))/((-2)/76). Let a = 138 + b. Suppose -d - 12 = a*d. Let r(v) = -2*v**2 - v + 3. Let s(g) = 1. Determine d*s(o) + r(o). -2*o**2 - o + 1 Let h(m) = -631*m**3 - 8*m**2 - 38*m + 11. Let r(d) = 210*d**3 + 3*d**2 + 14*d - 4. Give -3*h(u) - 8*r(u). 213*u**3 + 2*u - 1 Let s(g) = 2*g**2 + 2*g - 1. Let u(t) be the second derivative of t**5/20 - t**3/6 + t**2/2 - 3369*t. What is s(b) + 2*u(b)? 2*b**3 + 2*b**2 + 1 Let x(s) = -1076*s**3 - 6*s**2 + 9*s + 23. Let t(f) = 1076*f**3 + 5*f**2 - 8*f - 20. Give -7*t(d) - 6*x(d). -1076*d**3 + d**2 + 2*d + 2 Let n(g) = -74*g**3 - 60*g + 122. Let a(s) = -14*s**3 - 12*s + 24. Give 16*a(b) - 3*n(b). -2*b**3 - 12*b + 18 Let i(f) be the first derivative of 1/2*f**2 + 3 + 2*f. Let x(v) = -1. Give 3*i(t) + 5*x(t). 3*t + 1 Let z(s) = 60*s**3 - 4*s**2 - 11*s + 4. Let b(o) = -60*o**3 + 4*o**2 + 8*o - 3. Determine 4*b(x) + 3*z(x). -60*x**3 + 4*x**2 - x Let r(q) = 113*q**2 + 7*q - 5. Let v(n) = -623*n**2 + 679*n**2 + 1 + 3*n - 3. Determine 2*r(m) - 5*v(m). -54*m**2 - m Let b(p) = 48*p + 177. Let x(u) = -7*u - 21. What is 4*b(v) + 27*x(v)? 3*v + 141 Let o(y) = 234*y + 1. Let r(j) = 4*j + 2. What is o(u) - 5*r(u)? 214*u - 9 Suppose 52 = 5*g + 27, 0 = 5*m + g + 25. Let t(a) be the third derivative of -11*a**5/60 - a**4/4 + 2*a**2. Let i(h) = 12*h**2 + 7*h. What is m*i(x) - 7*t(x)? 5*x**2 Let n(z) = 1. Let h(w) = -40*w - 4108 - 37*w - 2*w**2 + 76*w + 4092. Calculate h(a) + n(a). -2*a**2 - a - 15 Let j(g) = -2*g + 8. Let a(l) = 70*l - 470. Give a(d) + 30*j(d). 10*d - 230 Let d = 129913 + -129903. Let c(q) = -40*q - 10. Let g(m) be the second derivative of 13*m**3/6 + 3*m**2/2 - m. Calculate d*g(b) + 3*c(b). 10*b Let v(q) = -23*q - 2. Let s be 51/(-18) - (22550/300 - 75). Let l = -5 - -12. Let y(j) = -11*j - 1. Calculate l*y(i) + s*v(i). -8*i - 1 Let z(g) be the second derivative of g**3/2 + g. Let k(u) = -9*u + 216 - 316 + 101. Calculate 2*k(l) + 7*z(l). 3*l + 2 Suppose -9*r = -5*r - 2*b - 56, -19*r = -2*b - 176. Let v(f) = -9*f**2 - 4*f + 2. Let m(i) = -3 + i + 14*i**2 + 0*i**2 + 5*i. Give r*v(p) + 5*m(p). -2*p**2 - 2*p + 1 Let r(i) = i. Let x(b) = -2*b**3 + 31*b**2 - 16*b + 16. Let t be x(15). Let p(l) = -9*l + 1. Give t*p(q) + 2*r(q). -7*q + 1 Let i(w) = 1241222*w + 1278. Let o(v) = -3891*v - 4. What is 4*i(p) + 1278*o(p)? -7810*p Let m(t) = -2*t - 13. Let n(y) = -9977*y + 79. Determine 6*m(w) + n(w). -9989*w + 1 Let m(n) = -n**3 - 1. Suppose 0 = -u - 2*t + 22, -12*t = -14*t + 10. Let o(b) = -9*b**3 - 12. Suppose 4*a - 4 = 0, -s - 4 = -0*s - 3*a. Give s*o(f) + u*m(f). -3*f**3 Let j = 96 + -100. Let m be j + 0/1 + 0. Let n(h) = h**2 - 7 - 2*h**2 + 3. Let w(c) = -3. Give m*w(u) + 3*n(u). -3*u**2 Let u(g) = -12*g**2 - 50*g - 2. Let w(l) = 4*l**2 - l. What is u(c) + 4*w(c)? 4*c**2 - 54*c - 2 Let k(f) = f**2 + f. Let o(d) = 4*d**3 - 19*d**2 - 2*d + 7. Let q(j) = 3*j**3 - 13*j**2 - j + 5. Let c(m) = -5*o(m) + 7*q(m). Determine c(y) - 3*k(y). y**3 + y**2 Let l(o) = 7*o**3 - 6*o**2 - 6*o - 3. Let j(q) = -5750*q**3 - 21 - 5*q**2 + 5757*q**3 + 18 - 5*q. Determine -6*j(t) + 5*l(t). -7*t**3 + 3 Let n = -321 + 327. Let f(p) be the first derivative of p**2/2 + 4. Let k(b) = -4*b. What is n*k(v) + 21*f(v)? -3*v Let s(d) = -d**3. Let c(x) be the third derivative of 1/60*x**6 - 2*x + 1/30*x**5 + 0*x**3 + 0*x**4 + 0 - 12*x**2. Calculate c(h) - s(h). 3*h**3 + 2*h**2 Let w(k) = -10*k**2 + 26*k + 9. Let z(s) = -29*s**2 + 80*s + 25. Determine 8*w(y) - 3*z(y). 7*y**2 - 32*y - 3 Let z(m) = 1179*m - 21. Let j(c) = 1768*c - 33. Determine -5*j(f) + 8*z(f). 592*f - 3 Let w(q) = -q - 1. Let t(h) be the second derivative of -71*h - 1/3*h**3 - 2 + 0*h**2. Give 3*t(x) - 2*w(x). -4*x + 2 Let d(t) = 1408 - 3*t + 1409 - 4219 + 1398. Let g(l) = -3*l - 3. Let u be (0 + 4)/(0 + 1). What is u*d(w) - 5*g(w)? 3*w - 1 Let t(h) = 6*h**2 + 22*h - 6. Let v = 3555 + -3553. Let z(d) = -2*d**2 - 7*d + 2. Determine v*t(o) + 7*z(o). -2*o**2 - 5*o + 2 Let y(m) = 14*m**2 + 6*m + 6. Let d = -2 + 15. Let q(h) = -25 + 23 + 7 + 5*h + d*h**2. Determine 6*q(k) - 5*y(k). 8*k**2 Let u(j) = -3*j**2 + j. Let l(a) = -10*a**2 - 9*a + 3. Let p be l(-3). Let b be p/(-30) + (-1*2 - -5). Let x(m) = 4*m**2 - m. Give b*u(r) + 4*x(r). r**2 + r Let r(t) = 10*t**3 - 8*t**2 + t - 3. Let c(f) = 2*f**3 - f**2. Determine 3*c(o) - r(o). -4*o**3 + 5*o**2 - o + 3 Let j be (24/15)/((-2)/(-175)). Let i be (4/16)/(7/j). Let v(h) = -46*h + i - 46*h + 88*h. Let m(b) = 5*b - 6. What is 5*m(c) + 6*v(c)? c Let u(j) = -5*j + 9. Let b(r) = 2*r**3 - r**2 + 3*r + 3. Let x be b(0). Let o(z) = -4*z + 8. Determine x*o(w) - 2*u(w). -2*w + 6 Let d(i) = 45*i**2 + 16*i + 44. Let h(j) = 113*j**2 + 40*j + 106. What is 12*d(n) - 5*h(n)? -25*n**2 - 8*n - 2 Suppose 2*b + b = 3. Let n(t) = -577*t + 241. Let m(r) = 50*r - 21. Let v(c) = 23*m(c) + 2*n(c). Let j(o) = -o - 1. What is b*j(a) + v(a)? -5*a - 2 Let p(f) = -f**3 + f - 1. Let l(n) be the third derivative of -n**6/24 + 7*n**4/4 - 2*n**3/3 + 5466*n**2. Calculate l(j) - 4*p(j). -j**3 + 38*j Let x(q) = -475*q**2 - 4*q + 12. Let m(g) = -2846*g**2 - 23*g + 68. Determine -6*m(c) + 34*x(c). 926*c**2 + 2*c Let h(y) = -y**3 + 11*y + 11. Suppose -3*u = -2*u + 13. Let r = 15 + u. Let q(z) = -2*z - 2. Suppose 122 = 2*a + 100. Determine a*q(x) + r*h(x). -2*x**3 Let u(z) be the first derivative of -13*z**2 - 9*z + 2794. Let t(b) = -39*b - 14. Calculate 5*t(j) - 8*u(j). 13*j + 2 Let q(l) = 488*l - 118. Let r(n) = 489*n - 101. What is -6*q(m) + 7*r(m)? 495*m + 1 Let r(t) = -2838*t**3 - 4*t**2 - 20*t + 3. Let o(u) = -2836*u**3 - 3*u**2 - 15*u + 2. Calculate -4*o(c) + 3*r(c). 2830*c**3 + 1 Let z(n) = -596946*n**3 + 2563*n**2 - 10252*n + 2563. Let s(k) = -466*k**3 + 2*k**2 - 8*k + 2. Give -2563*s(g) + 2*z(g). 466*g**3 Let d(b) = -56*b. Let y be (-10)/10 + (0 - -7) + -4. Let p(m) = -224*m. Give y*p(s) - 9*d(s). 56*s Let r(o) = o**3 - 5*o**2 + o. Let b(i) = 2*i**3 + 13*i**2 - 3*i - 2. Give 2*b(q) + 6*r(q). 10*q**3 - 4*q**2 - 4 Let o(r) be the first derivative of r**4/12 - 179*r + 183. Let j(g) be the first derivative of o(g). Let d(a) = -8*a**3 - 5*a**2. Determine d(s) + 5*j(s). -8*s**3 Let g = -9287 - -9292. Let z(m) = -1. Let b(p) = -p - 9. Let u(t) = 1. Let r(d) = -2*b(d) - 18*u(d). Determine g*z(w) + r(w). 2*w - 5 Let g(w) = 4*w + 2. Let z(s) = -5*s - 2. Let a(y) = -y**2 + 61*y - 121. Let m be a(2). What is m*z(b) - 4*g(b)? -b - 2 Let l(t) = 10*t + 11*t - 30*t + 1 + 3*t + 7*t. Let n(j) = j**2 - 3*j - 5. What is -4*l(k) - n(k)? -k**2 - k + 1 Suppose 5*l + c = 28, -2*l - 2*c = 3*l - 26. Let f = 1844 + -1843. Let d(o) = o**2 - o + 1. Let u(z) = -z**3 - 6*z**2 + 6*z - 5. Determine f*u(n) + l*d(n). -n**3 + 1 Let s(x) = x**2 - x. Let a = 126964 + -126965. Let u be (1 + -2)/((-1)/(-3)). Let f(t) = -5*t**2 + 3*t - 2. Calculate a*f(o) + u*s(o). 2*o**2 + 2 Let d be (-2148)/168 + (-6)/28 + 18. Let o(i) = i - 1. Let f(y) = -5*y + 6. What is d*f(q) + 30*o(q)? 5*q Let u(c) = -7*c + 2. Let j = -2001 + 1996. Let m(y) be the third derivative of -5*y**4/8 + 2*y**3/3 + 4*y**2. What is j*u(f) + 2*m(f)? 5*f - 2 Let o(w) = 372*w**2 + 16*w + 39. Let l(n) = -123*n**2 - 6*n - 14. Determine -11*l(q) - 4*o(q). -135*q**2 + 2*q - 2 Let t(h) = 22*h + 1. Let w(p) = 122*p - 58. Determine -6*t(d) + w(d). -10*d - 64 Let b = -2499 + 2498. Let x(i) = i**2 - i + 1. Let t(u) = -8*u**2 + 8*u - 7. Give b*t(a) - 6*x(a). 2*a**2 - 2*a + 1 Let p(x) = -11*x**2 - 15. Let l(w) = -16*w**2 - w - 16. Determine -2*l(a) + 3*p(a). -a**2 + 2*a - 13 Let a(b) = -40*b + 4. Let t(y) = -41*y - 614 + 1232 - 613. Determine -5*a(f) + 4*t(f). 36*f Let o = 4608 - 4607. Let z(q) = 4*q**3 - 6*q**2 - 11*q - 4. Let c(a) = a**3 - a**2 - a - 1. What is o*z(l) - 6*c(l)? -2*l**3 - 5*l + 2 Let l(j) = -j**2 - j - 1. Let d(a) be the second derivative of 0 - 1/3*a**3 - 1/12*a**4 - 1/2*a**2 + 119*a. Give 2*d(p) - 3*l(p). p**2 - p + 1 Let d(r) = 5*r - 7. Let h(p) = 3*p - 4. Let x = -454 + 456. Suppose x*q = 3*v + 1 + 7, -v - 3*q = 10. Give v*d(g) + 7*h(g). g Let s(g) = -13607*g**3 + 26*g. Let m(t) = 13605*t**3 - 28*t. Give 13*m(a) + 14*s(a). -13633*a**3 Let j(m) = -5*m**2 - 146*m - 169. Let w(k) = -3*k**2 - 80*k - 84. What is 6*j(p) - 11*w(p)? 3*p**2 + 4*p - 90 Let p(z) = -1. L
{ "pile_set_name": "DM Mathematics" }
Let k = 2/13189 + 39563/26378. Determine p, given that 0 + p - k*p**2 + 1/2*p**4 + 0*p**3 = 0. -2, 0, 1 Suppose -2*q + 12 = t, 2*q + 29*t - 4 = 32*t. Factor -5/2*n + 1 + 1/2*n**q - 2*n**4 + 2*n**3 + n**2. (n - 2)*(n - 1)**3*(n + 1)/2 Let r(v) be the first derivative of v**6/3 + 18*v**5/5 + 13*v**4 + 68*v**3/3 + 21*v**2 + 10*v - 34. Suppose r(u) = 0. Calculate u. -5, -1 Let x(j) be the third derivative of j**5/5 + j**4/6 - 8*j**3/3 - 59*j**2. What is s in x(s) = 0? -4/3, 1 Let c be -4 - (32 + (3 + 1 - 7)). Let i be (-77)/c*2/7. Factor 1/3*l**3 - i*l - 1/3*l**2 + 0. l*(l - 2)*(l + 1)/3 Let s(u) be the first derivative of 5*u**6/4 - 12*u**5/5 - 3*u**4/2 + 5*u**3 - 3*u**2/4 - 3*u - 67. Solve s(n) = 0. -1, -2/5, 1 Let g(x) be the first derivative of -49*x**4 + 252*x**3 - 480*x**2 + 400*x + 510. Find f such that g(f) = 0. 1, 10/7 Let i(d) be the second derivative of -40*d + 0 + 0*d**2 - 2/3*d**3 - 1/3*d**4. Factor i(r). -4*r*(r + 1) Suppose 0 = -3*y + 3*h + 12, -y + 412*h = 415*h - 8. Suppose -4/13*n**y + 2/13*n - 4/13 - 10/13*n**4 + 14/13*n**2 + 2/13*n**3 = 0. What is n? -2, -1, 1/2, 1 Let l be (-3)/3*2 + 2/2. Let d be (((-2)/6)/l)/(45/405). Factor 4/3*r - 5/3*r**2 - 1/3 + 2/3*r**d. (r - 1)**2*(2*r - 1)/3 Suppose -8 = 3*x + 46. Let c = -12 - x. Find p such that 2 + 1 - p**2 - c*p + 4*p**2 = 0. 1 Let i be ((-27)/(-18) + -1)*11 + -5. Suppose -i*y**2 + 0*y + 1/2 = 0. What is y? -1, 1 Let r(m) = -3*m**4 - 11*m**3 + 76*m**2 - 136*m + 104. Let z(i) = 7*i**4 + 21*i**3 - 153*i**2 + 271*i - 210. Let y(k) = 9*r(k) + 4*z(k). What is l in y(l) = 0? 2, 3, 8 Let p = 3917 + -15661/4. Factor 17/4*w**2 + 3/2*w + p*w**3 + 0. w*(w + 2)*(7*w + 3)/4 Let t(s) be the second derivative of 2/15*s**6 - 4/3*s**4 + 1/5*s**5 - 9*s + 0 + 0*s**2 - 8/3*s**3. Let t(y) = 0. What is y? -2, -1, 0, 2 Let z = 58/845 + 956/845. Solve -z + 14/5*a**2 - 14/5*a + 6/5*a**3 = 0 for a. -3, -1/3, 1 Let l(k) = -k**2 - 63*k - 147. Let h(s) = 64*s + 148. Let w(o) = 5*h(o) + 4*l(o). Factor w(r). -4*(r - 19)*(r + 2) Let m = -181 - -2177/12. Let s(t) be the first derivative of 2/9*t**3 - 5 + 1/3*t - 1/24*t**4 - m*t**2. Factor s(x). -(x - 2)*(x - 1)**2/6 Let x be -3*3/(-4 - -1). Determine l so that 3*l**2 + 3597*l**3 - 3*l - 3*l - 3594*l**x = 0. -2, 0, 1 Let o(i) be the third derivative of -11/60*i**6 - 13/30*i**5 - 1/3*i**4 - 2/105*i**7 + 0 + 0*i - 4*i**2 + 0*i**3. Let o(y) = 0. Calculate y. -4, -1, -1/2, 0 Let w(y) be the third derivative of 2*y**2 - 1/60*y**6 + 0*y**3 + 0 + 0*y**4 - 1/45*y**5 - 1/315*y**7 + 0*y. Solve w(b) = 0 for b. -2, -1, 0 Let w(a) = 2*a**3 - 47*a**2 - 8*a + 44. Let t(g) = 15*g**3 - 330*g**2 - 55*g + 310. Let i(s) = -3*t(s) + 20*w(s). Factor i(p). -5*(p - 10)*(p - 1)*(p + 1) Let s(a) be the third derivative of a**5/12 - 115*a**4/12 + 2645*a**3/6 + 76*a**2. Let s(x) = 0. What is x? 23 Let d be 2 + (3 - 6 - 9). Let x be ((-2)/4)/(1/d). Factor -3*s**4 + s**3 + 2*s**2 + x*s**4 + 3*s**3. 2*s**2*(s + 1)**2 What is k in 2/9*k**5 + 0*k - 2*k**3 + 0 + 10/9*k**2 + 2/3*k**4 = 0? -5, 0, 1 Factor 1/3*m**3 + 46/3*m - 13/3*m**2 - 16. (m - 8)*(m - 3)*(m - 2)/3 Let g be ((-50)/(-15))/((-4)/(-6)). Suppose -4*k = 3*w - 21, -g*w + 24 = 4*k - w. Factor -3*c**k + 9*c**5 + 2*c**2 - 4*c**5 - 4*c**5. c**2*(c - 1)**2*(c + 2) Let s(c) be the second derivative of -c**7/84 - 7*c**6/60 - 9*c**5/40 + 7*c**4/24 + 5*c**3/6 + 28*c. Solve s(n) = 0 for n. -5, -2, -1, 0, 1 Let d(r) = 2*r**3 - 91*r**2 + 1440*r - 3456. Let j(n) = -n**2. Let t(q) = -2*d(q) - 22*j(q). Solve t(p) = 0. 3, 24 Let g(v) be the first derivative of 5*v**6/12 + 3*v**5 - 5*v**4 - 5*v**3 + 35*v**2/4 + 609. Let g(k) = 0. What is k? -7, -1, 0, 1 Let u = 6/523 + 2062/2615. Factor 2/5*z**3 - u - 2/5*z + 4/5*z**2. 2*(z - 1)*(z + 1)*(z + 2)/5 Let t(s) be the second derivative of -s**6/6 + 3*s**5 - 175*s**4/12 + 7*s + 10. Factor t(x). -5*x**2*(x - 7)*(x - 5) Let p = 18 + 91. Suppose 0 = p*v - 111*v + 4. Suppose -1/4*n**v + 0 - 1/2*n = 0. Calculate n. -2, 0 Let v(c) be the second derivative of -3*c**4/7 + 40*c**3/21 - 8*c**2/7 - 6*c - 5. Factor v(k). -4*(k - 2)*(9*k - 2)/7 Let z = -369/26 - -1949/130. Factor 0 + 0*c**4 + 0*c**2 + 2/5*c**5 + 2/5*c - z*c**3. 2*c*(c - 1)**2*(c + 1)**2/5 What is k in 66*k + 1200*k**2 - 59 + 36*k + 62 + 18*k = 0? -1/20 Factor 14/17*r + 0 - 12/17*r**2 - 2/17*r**3. -2*r*(r - 1)*(r + 7)/17 Let g(j) be the third derivative of -j**7/210 + 11*j**6/120 - 17*j**5/60 - 11*j**4/24 + 3*j**3 + 3*j**2 - 7*j. Let g(w) = 0. What is w? -1, 1, 2, 9 Find n such that 2909 - 832*n - 6056 - 1655 + 4*n**2 + 27160 + 20906 = 0. 104 Let w(r) = 6*r**2 - 19*r + 8. Let k be w(5). Let s be (-8)/28 + 39/k. Factor s*x**2 - 1/3*x + 0. x*(x - 1)/3 Let m = 97 + -93. Solve -96*c**2 - m*c**2 - 16 + 38*c + 42*c = 0 for c. 2/5 Let w = -4184 + 29291/7. Find z such that 0*z**4 + 0*z + 3/7*z**3 - w*z**5 + 0 + 0*z**2 = 0. -1, 0, 1 Let f(g) be the first derivative of -2*g**3/15 - 3*g**2/5 + 108*g/5 + 391. Factor f(o). -2*(o - 6)*(o + 9)/5 Let l be 3 + 3/(-1) + 4. Suppose -6*t + 20 = -3*t - l*o, 0 = 2*t - 2*o - 14. Solve 0*p**3 + t + 2*p**3 + 6*p**4 - 3*p**3 - 14*p**2 + 3*p**3 - 2*p**5 = 0. -1, 1, 2 Let l be 21/(-126)*2/(-1). Factor -1/3*i**3 - l + 1/3*i**2 + 1/3*i. -(i - 1)**2*(i + 1)/3 Let l(x) be the first derivative of -x**6/12 - 3*x**5/5 - 11*x**4/8 - x**3 + 36. Let l(q) = 0. What is q? -3, -2, -1, 0 Let j(c) = 6*c - 5. Let o be j(2). Factor -2 + 12*i + o - 2 - 15 - 3*i**2. -3*(i - 2)**2 Let z(k) = -74*k - 20. Let q be z(4). Let o = -310 - q. Let -51/2*g**3 + 45/2*g**5 + 0 + 39*g**4 - 30*g**2 - o*g = 0. What is g? -2, -2/5, -1/3, 0, 1 Let n = -4/857 - -937/17140. Let c(m) be the second derivative of m + 2*m**3 - 1/2*m**4 - 4*m**2 + n*m**5 + 0. Let c(y) = 0. Calculate y. 2 Suppose -3 = -4*b + 5. Suppose -10 = -4*l + 2*y, -b*l - 2*y = l - 4. Solve 0*s**2 + l*s**2 + s**2 = 0. 0 Let b = 191576870 + -634119433737/3310. Let a = b - 1/662. Factor -6/5 - a*r - 3/5*r**2. -3*(r + 1)*(r + 2)/5 Let u(a) be the third derivative of 1/21*a**3 + 1/42*a**5 - 1/14*a**4 - 8*a**2 + 0 + 0*a. Find r such that u(r) = 0. 1/5, 1 Let w(d) be the second derivative of d**8/10080 - d**7/3780 - d**6/1080 + d**5/180 - d**4/12 - 5*d. Let g(k) be the third derivative of w(k). Factor g(o). 2*(o - 1)**2*(o + 1)/3 Let v(x) be the first derivative of -x**5/35 + 4*x**4/7 - 24*x**3/7 + 17*x - 5. Let j(u) be the first derivative of v(u). Find d, given that j(d) = 0. 0, 6 Suppose 7*y = 3*y + 20, 0 = 4*t + 5*y - 41. Let j be 1/((6/t)/(3/1)). Solve -1/5*d**3 + 0*d + 2/5*d**j + 0 = 0. 0, 2 Let t(j) be the third derivative of -1/3*j**3 - 11/120*j**6 - 2/5*j**5 + 0*j + 0 - 5/8*j**4 + 24*j**2. Factor t(m). -(m + 1)**2*(11*m + 2) Let p be (0/(-1))/(-4 - -6). Let r(f) be the third derivative of -2*f**2 + p*f + 0 + 3/2*f**4 - 2*f**3 - 1/4*f**5. Suppose r(a) = 0. Calculate a. 2/5, 2 Let p(f) be the first derivative of 1/120*f**4 - 5 + 0*f**3 + 2*f**2 + 0*f - 1/300*f**5. Let v(d) be the second derivative of p(d). Factor v(z). -z*(z - 1)/5 Let o = 236 - 230. Let x be -6*27/36*(-4)/o. Factor 0 - 9/4*b**4 + 0*b - 1/4*b**2 + b**5 + 3/2*b**x. b**2*(b - 1)**2*(4*b - 1)/4 What is l in -2/11*l**2 + 106/11 + 104/11*l = 0? -1, 53 Let u(i) be the first derivative of -i**4/7 + 40*i**3/21 + 46*i**2/7 + 48*i/7 + 166. Factor u(h). -4*(h - 12)*(h + 1)**2/7 Let s(m) be the third derivative of 1/40*m**6 - 1/10*m**5 + 0*m**3 + 1/70*m**7 + 0*m**4 + 3*m - 5*m**2 + 0. Factor s(x). 3*x**2*(x - 1)*(x + 2) Suppose -28/5*b**2 + 4/5*b + 0 + 13/5*b**3 = 0. Calculate b. 0, 2/13, 2 Let a(q) be the second derivative of -q**6/45 + 11*q**5/15 + 8*q**4/3 + 362*q. Factor a(z). -2*z**2*(z - 24)*(z + 2)/3 Let y = -10 + 10. Let w(t) be the third derivative of 0 - 3*t**2 + 0*t + 0*t**4 - 1/150*t**5 + y*t**3. Factor w(f). -2*f**2/5 Let i(s) be the first derivative of s**6/180 + s**5/30 + 19*s**3/3 - 6. Let n(q) be the third derivative of i(q). Let n(k) = 0. Calculate k. -2, 0 Let v(q) be the second derivative of q**7/105 + q**6/75 - 3*q**5/50 - q**4/6 - 2*q**3/15 + 4*q. Find t, given that v(t) = 0. -1, 0, 2 Let j(n) be the second derivative of 0*n**2 + 1/20*n**5 + 1/42*n**7 - 1/3*n**3 + 0 + 1/10*n**6 - 6*n - 1/4*n**4. Determine a so that j(a) = 0. -2, -1, 0, 1 Let t(c) be the first derivative of -c**4/2 + 4*c**3 + 71. Determine v, given that t(v)
{ "pile_set_name": "DM Mathematics" }
- l. Let a(c) = 3*i(c) - v(c). Let y be a(-9). Suppose -p + y + 2 = 0, 2*x - 3*p = 1165. Is x composite? False Suppose -4*s + 24485 + 76075 = 0. Is s/108 - (-4)/18 composite? False Let u = 5673 - -2726. Is u prime? False Suppose 3*r - 3 - 15 = 0. Suppose 2*i + 3*a - r*a = 265, -666 = -5*i + 4*a. Suppose k - i = -k. Is k composite? False Let j be 56/(-7) - 4/(-2). Let p be ((-3)/(-2))/((-3)/j). Suppose p*d + 12 = 123. Is d a composite number? False Let o(q) = -3*q + 3. Let b be o(-2). Let d(m) = 6*m**2 - 7*m - 10. Is d(b) prime? False Suppose -5*g + 6424 - 669 = 0. Suppose 8*r = 7*r + g. Is r composite? False Suppose -t - r + 2*r = -7, 4*r + 10 = -5*t. Suppose -t*l + l + 126 = 0. Let m = -87 + l. Is m composite? True Let s = -190 - -523. Is -2 + -1*s*-1 composite? False Let v(a) be the third derivative of 0*a + 0 - 7/6*a**3 - 17/24*a**4 + 3*a**2. Is v(-10) a prime number? True Let n(t) = 7*t**2 + 7*t - 1. Let a be n(-6). Suppose -14*v - 428 = 888. Let f = a + v. Is f prime? False Let t = -4397 + 7662. Is t composite? True Suppose -2*o = -3*x + 3087, 5*x - 2*o = -7*o + 5120. Is x a composite number? True Let b be (-6)/24 - 9/(-4). Let r(x) = -75*x**3 + 2*x**2 - x + 2. Let s(n) = -75*n**3 + 3*n**2 - 2*n + 3. Let a(z) = b*s(z) - 3*r(z). Is a(1) composite? True Let s = -3082 - -8463. Is s prime? True Let d = 82844 + -49387. Is d a composite number? False Suppose -5*p + 3*a + 71 = -18, 0 = -5*a - 15. Let c(j) = 25*j - 21. Is c(p) prime? True Suppose -3 = l + 5*k, -2*l - k + 5 = l. Suppose -5*u = -l*h + 270, -2*h + 83 = -4*u - 133. Let p = 35 - u. Is p composite? False Is 6*(-7 - 6395/(-6)) a composite number? False Suppose -2*y - 2*y + 71130 = 2*n, -2*y - 177849 = -5*n. Is n prime? True Let v(d) = -5329*d + 267. Is v(-8) prime? True Let i(f) = -f**3 - 5*f**2 + 7. Let z be -1 + -1 + 4*-1. Let j be i(z). Suppose -5*t + 442 = -j. Is t a composite number? False Suppose -25*c + 68987 = -25038. Is c a composite number? False Suppose 2*d = -4*v + 94014, 5*d = 7*d + 2*v - 94004. Is d a prime number? True Let h be 5/25*0 - -892. Suppose -2*s = -2162 + h. Is s composite? True Let r be 0/(-1)*(2 - 1) - -12. Is 4/r - 30/9 - -1468 a composite number? True Let v be 58/12 - (-1 - 15/(-18)). Suppose -4*s - 3*a = -4*a - 1347, -v*a = -4*s + 1343. Is s composite? False Let r(g) = 18*g**2 + 3*g - 5. Let b be r(5). Let f = -247 - 68. Let p = b + f. Is p prime? False Let w be (-5758)/(-14) + (-6)/21. Suppose 32*n - 29*n - 6 = 0. Suppose -n*k = 153 - w. Is k a composite number? True Suppose 16*k = 12*k + 16. Suppose k*i - 4930 = -6*i. Is i a composite number? True Let m = 24511 + -2892. Is m prime? False Let i(d) = -31*d**3 + 5*d**2 + d - 8. Suppose b = -q - 0 + 2, 0 = -3*q + 3*b - 24. Is i(q) a prime number? False Let f be 10/24*3*(13 - 5). Is 15685/f*-6*(-2)/6 prime? True Suppose 4*q - 1100 = 15448. Suppose -3*u = -5*z - q, 2*u + 5*z - 2*z - 2758 = 0. Is u prime? False Suppose -2*f + 0*f = -8. Let h be 8/12*(-6)/f. Is (92 + h + 0)/1 composite? True Let u be 2/(-4) - 8965/(-22). Let l = u - -1224. Is l a composite number? True Let t = 52 + -49. Suppose t*j - 596 = 589. Is j a prime number? False Let l(u) = -39*u**3 + u**2 - u + 1. Let d be ((-39)/6)/((-2)/4). Let z = -15 + d. Is l(z) a prime number? False Let m(f) = 6*f**2 - f - 1. Let y be ((-2)/3)/(6/9). Let z be m(y). Is 3/(-2)*(-1948)/z prime? True Suppose 4*x = 3*m + 64 + 43, -2*x - 48 = 2*m. Let i = 21 + m. Is -1*(-2)/(-2) - i a prime number? True Let x = 38 + -38. Suppose x = 9*g - 3*g + 66. Let l = 138 + g. Is l composite? False Is (-1 - (-3 + 1)) + -5 + 8457 a prime number? False Suppose 0 = 4*c - 7*c + 3168. Suppose s = 2*d + 5*s - c, 10 = -5*s. Suppose 4*u - d - 352 = 0. Is u a prime number? False Let i(s) = -s**3 + 2*s**2 + s + 487. Let x be (-6 + -1 + -1)*-2. Let o be 2/8 - 4/x. Is i(o) prime? True Suppose -51*i - 144978 = -57*i. Is i prime? False Suppose -m = 2*m + b + 8, -3*m + 2 = -4*b. Is 1/m - (-503)/2 a prime number? True Suppose -11*j = -16*j + 10. Suppose -3*o + 2084 = -5*a, -2*o - 3*a - j*a = -1431. Is o a prime number? False Suppose -5*n + 2*m + 10 = 0, 3*n + 18 = 5*n + 2*m. Let b(k) be the third derivative of k**5/30 + k**4/8 + k**3/2 - k**2. Is b(n) prime? True Let s(j) = -23*j**3 + 2*j**2 - 2*j + 1. Let c be s(1). Let u be (33/c)/(2/(-764)). Suppose 0*i + 3*i - u = 0. Is i prime? True Let j(w) = 13155*w**2 + 11*w - 9. Is j(1) a composite number? True Let p = 168 + -164. Suppose -3*d = -p*c - 53, -2*d - c - 16 = -3*d. Is d a prime number? True Let o be ((-10)/4)/(3/(-138)). Suppose 0 = 2*v + 5*r - o, -3*v + 5*r = -0*r - 160. Is v composite? True Suppose 0 = -4*r + 7*r - 12. Suppose 223 = -r*j - 3*w, -5*w - 159 = 3*j - 0*w. Let z = j + 161. Is z a prime number? True Suppose 18*i - 14*i - 10628 = 0. Is i a composite number? False Let v = 71 + -63. Suppose -3*p + v*p - 7405 = 0. Is p a prime number? True Is (-10)/(320/(-79944))*16/12 a prime number? True Let s = -23 + 24. Is 20 + -5 + s*4 a prime number? True Suppose -12*c - 39107 = -16*c + 3*h, 29329 = 3*c - 2*h. Is c composite? True Let t(b) be the third derivative of 59*b**5/60 + b**4/6 + b**3/3 + 6*b**2. Is t(-3) composite? False Let d(k) = 139*k**2 + 2*k + 104. Is d(11) a composite number? True Suppose 0 = 2*p - 10 - 2. Is (-1)/(((-10)/(-27015))/((-4)/p)) a composite number? False Let n be (-36)/(-15)*100/(-15). Let p = -27 - n. Is (-11)/(p/820) + 1 a composite number? False Suppose -2*p + 105075 = z, -z + 105087 = 2*p + 3*p. Is z prime? False Let y(g) = -g**3 + 16*g**2 + 18*g - 17. Let f be y(17). Suppose -2*x + 183 = c, f*x = x - 2*c - 79. Is x a prime number? True Is 49/(7 + -14) + 4953 prime? False Suppose -185184 - 312320 = -32*j. Is j prime? False Let p(x) = 304*x + 45. Is p(11) a prime number? True Suppose -207645 = -31*t + 655612. Is t a composite number? False Let b(u) = 1258*u**3 + 2*u - 1. Suppose -5*j = -2*o + 5, 1 + 3 = -4*j. Suppose o = -5*r + 2*r + 3. Is b(r) a composite number? False Suppose 2*g - 2*l - 2 = 0, l + 12 = 4*g - l. Suppose 0 = 4*b - 3 - g. Suppose -25 = -5*c, u - b*u + 2*c + 427 = 0. Is u a composite number? True Let x(n) = -2*n**3 - 7*n**2 + 8*n + 10. Let v be x(-6). Let s = -16 - -65. Let a = s + v. Is a a composite number? False Let j = 14 + -8. Let k = j + 3. Is 93/k + (-6)/(-9) a prime number? True Let o(z) = -3*z**2 - 24*z - 4. Let h be o(-8). Is h - (-1 - (1364 + 0)) a composite number? False Let z = 799 - 462. Is z a prime number? True Suppose -3*d + 56146 = -5*y - 82448, -5*y - 184792 = -4*d. Is d prime? False Let t(l) = -2*l - 13. Let p be t(-6). Is (1 - (1480 + -2))/p composite? True Suppose 4*v - 5885 = a + 4*a, -v + 1465 = 5*a. Let r = -771 + v. Suppose -3*z + r = 3*m - 0*z, -5*z = -4*m + 968. Is m composite? True Suppose 5*r - 5*p = 31770, 0 = -2*p - 0*p - 2. Is r prime? True Let b = 11822 - -6957. Is b composite? True Let l be 4 - 6 - (-2793 - -1). Suppose -5*m - 27 = 2*h - l, h - 2211 = -4*m. Is m a composite number? True Suppose 3*t = -t + 3*t. Suppose t = v - 5*v + 1508. Is v a prime number? False Suppose 2*y - 2 = -h + 4*y, -18 = 4*h + 5*y. Let d(x) = -23*x**3 + x**2 - x - 2. Let u be d(h). Suppose -6*m = -10*m + u. Is m prime? True Let r = -661 + 667. Let k(i) = i**3 - 10*i**2 + 9*i - 5. Let t(g) = -g**3 + 21*g**2 - 19*g + 10. Let l(x) = 5*k(x) + 2*t(x). Is l(r) prime? True Suppose 4*w = -4*o + 171412, 4*o = -25*w + 26*w + 171412. Is o composite? False Let n be -211 - 2 - 1*2. Let s = n - -342. Is s composite? False Let q(r) = r**3 - r**2 - 8*r + 4. Let m be q(6). Suppose 26 - m = -2*l. Is l prime? False Let s(z) = z**3 + 26*z**2 + 26*z + 56. Let o be s(-25). Let q = o - -52. Is q prime? True Suppose 5*i - x = 1741 + 2712, 5*x - 2655 = -3*i. Let l = 12 - 10. Suppose -4*f + b + 1768 = -b, -2*f = l*b - i. Is f prime? True Suppose -86*v = -102*v + 31568. Is v a prime number? True Let j be (-1 + -3 - -6)*2. Suppose -j = -k + 4*y - 21, -103 = 3*k + y. Is (-22)/k + (-2582)/(-6) a composite number? False Suppose 2*i - 11 = 2*a + 7, i = -5*a + 15. Suppose 0 = -i*n - 3*n + 13117. Is n prime? True Let f(z) = 3972*z**2 + 5*z - 3. Is f(1) a composite number? True Suppose 8*k = -6 + 638. Is k a composite number? False Let b = -2 + 2. Suppose -3*m - 4*f = -b*m - 838, m = -3*f + 271. Suppose -2*k + 6*o - 3
{ "pile_set_name": "DM Mathematics" }
-2. Suppose -22*p = -115 - 83. Solve 5*v + y - 9 = g, 4*v + y - p = 2*y for v. 2 Let v be 42/20 + 3/(-30). Solve 2*t - 4*t = 2*p + 4, 0 = 2*t + v for p. -1 Let q = -16 - -23. Suppose 0 = 2*f - q*f + 4*a + 99, f - 20 = a. Let s(m) = -13*m - 9. Let n be s(-1). Solve 2*u + n*t - 3*t = -9, -3*u = -4*t + f for u. -5 Let c(j) = -j - 2. Let y(o) be the first derivative of -2*o**3/3 - o**2 - 3*o - 4. Let a be y(-2). Let m be c(a). Solve 2*h + 10 = 0, m*b + 2*h = h - 25 for b. -4 Let v = 611 - 606. Solve -v*i + 4 - 1 = 3*u, 4*i + 5 = 5*u for u. 1 Let q be (-16)/4*1/(-2). Solve -5*b - 5 = 5*p, b - q + 15 = -4*p for p. -4 Let t = 252 + -248. Solve -8 - 7 = -5*y, 5*z + t*y - 12 = 0 for z. 0 Let c be 2 + (-4)/(-2) - 2. Let j(n) = -n - 2. Let x be j(-5). Suppose 3*w + i - x*i = 8, 0 = c*w - 3*i - 2. Solve 5*q + z - 5*z + 7 = 0, -4*q + 16 = w*z for q. 1 Suppose 2*b = 3*s - 16 + 35, -4*b + 2*s = -18. Solve 4*q = -q + 5, -b*p + 13 = 3*q for p. 5 Let n(y) = 76*y + 250. Let s be n(-3). Solve 8*q - 3*q + g + s = 0, 5*g = -2*q - 18 for q. -4 Let l be (-30)/(-2)*(-2)/(-6). Suppose w + 3 = l. Solve 3*a = -q + 1, -w*a + a - q = 1 for a. 1 Let a = 462 - 441. Solve 5*k - 3*x = -4*x + a, -2*k + x = -14 for k. 5 Let u(k) = -k**2 - 11*k + 26. Let n be u(-13). Solve 0 = -n*x + 4*x - a - 4, 0 = 2*x - a for x. 2 Suppose -7*h + 3*y = -3*h, -4 = -4*h + 2*y. Solve -2*n = -5*d + 1, d + 2*d = h*n - 3 for n. 2 Suppose -2*z + 3*k + 54 = -k, -5*z - k + 168 = 0. Let c = z - 27. Let f be c/(-4) - (-21)/14. Solve f*d - l = -d - 1, d = 2*l - 6 for d. 4 Let v(q) = q**3 + q**2 - q + 100. Let j be v(0). Suppose -r + j = 4*r. Solve 3*o + 4*p - 12 = 0, -7*o + 2*p + r = -2*o for o. 4 Suppose -2*o = -4*j + 360, -3*j - o = -2*o - 269. Suppose -3*q + 9 = 0, 5*x + 6*q = 3*q + j. Solve -5*f - 5 = 0, 0*d - 4*f = -4*d + x for d. 3 Let z be 5 + -10 - (3 + -2). Let p be z/(-27) + 48/27. Solve 4*k = 4*w + 2*k + 14, -4*k = -2*w + p for w. -5 Suppose 0 = 3*n - 6*n - 27. Let q be (-8)/28 - n/7. Let z be 3 - q/(2/6). Solve 0 = -i - 3, -4*i - 8 + z = -2*g for g. -2 Let u be 71/4 + 3/(-4). Suppose -3*x - u = -5*z + 17, 3*z = x + 18. Suppose 0 = -5*q + 5, -11*q + 8 = 4*i - 15*q. Solve 5*b + 5*s = -5, -i*s = -2*s + z for b. 4 Let a be -1*((-6)/(-3) + -4). Suppose -9*m + 4*m + 45 = 4*c, -4*c + m = -15. Suppose -16 = -r + c. Solve 6*h + r = 3*h - 3*v, -20 = a*h + 4*v for h. -4 Let o be 2/17 + 66/17. Solve 24 = -o*u + 2*a, 3*a - 18 = u - 2 for u. -4 Let u(q) = -2*q - 28. Let o be u(-16). Solve 0 = b - 2*a + 12, -2*a + 4*a - 18 = o*b for b. -2 Let a = 3 + 1. Let p(r) = -r**3 + 4*r**2 + 2*r - 4. Let k be p(a). Let z be 0 - 0*k/8. Solve -x + 2*b - 1 = 0, z*b - 20 = 2*x + 5*b for x. -5 Suppose -14*d + 36*d = 88. Solve -2*f + 1 = y + 6, -10 = d*y - 2*f for y. -3 Let k = 284 - 279. Solve -k*s = -3*g + 1 + 2, 0 = -4*s for g. 1 Suppose -o + 6*o = 2*n - 94, -2*o = 0. Let w = -43 + n. Solve w*k + 2*u - 20 = 0, 0 = 3*u - 2*u for k. 5 Suppose t + 136 = -3*t. Let q be t/(-14) + -2 - 54/(-21). Solve -1 = l + 3*z, 0 = -q*l + l - 4*z - 4 for l. -4 Let k = -130 + 133. Let d be (14 + 0)*6/7. Suppose -3*v + 6*v - d = 0. Solve k*s = 2*g + 5, s - 25 = -v*s for g. 5 Let n be -6 - (-8 + 8 - 2*1). Let p be n + (-68)/(-20) - 16/(-10). Solve -4*s + 32 = 4*j - 7*j, 0 = -4*j - 3*s - p for j. -4 Let t(j) = j**2 + 3*j + 4. Let g be t(-3). Suppose 5*s = 21 + 54. Suppose s = 5*l - 25. Solve -4*o + l = -c - c, 3*o - 2*c = g for o. 4 Let t be (-107)/(-7) - (-2)/(-7). Let z(o) = 114*o - 568. Let l be z(5). Solve 5*j + 25 = h, -5*j + h = l*h + t for j. -4 Suppose 4060 = -3*m - 2*m. Let q be 2/(-9) - (m/(-36))/(-7). Solve -2 = -x - 0*d - d, d - 10 = q*x for x. -2 Suppose k + 4 + 31 = 0. Let y = -26 - k. Solve -3*u + y = -3*r, -2*u + 12 = -4*r + u for r. -3 Let v = -833 + 835. Solve -5*a + 25 = -5*u, v*a = -2*u + 5 + 1 for a. 4 Let c be 10/(-5*20/(-350)). Solve 0 = -t - 4*z - 18, 2*t + 5*z = 7*t - c for t. 2 Let c(t) = 32*t - 91. Let a be c(3). Solve v = 5*f - 7*f + 6, -6 = 2*f - a*v for f. 2 Suppose 9 = 3*u, -u + 4 - 1 = 2*v. Suppose v = -10*s + 13*s - 3. Solve -p + 0*p + s = 3*j, 2 = 2*p + 4*j for p. 1 Let l(b) = b**2 - 12*b + 4. Suppose 0*y + 12 = y. Let a be l(y). Solve 10 = -4*n - 5*f - 14, a*f + 19 = -3*n for n. -1 Let n = 31 + -26. Suppose 0 = -5*s + n*q, 0*s + 3*s - 24 = -5*q. Suppose 0 = 5*a + s*r + r + 12, -3*r - 9 = 4*a. Solve -4*k = 4*x, -2*x + 2*k + a + 4 = 0 for x. 1 Let j be 35/10*20/35. Solve j = -q, 0 = -4*t + 2*q + q - 6 for t. -3 Suppose 39*s - 10*s - 58 = 0. Solve -2*r - 2 = -2*b, -s*r + r - 7 = b for b. -3 Suppose -4*i = -7*i + 2*x + 29, i = -4*x - 9. Let d(o) = 3*o**3 + 2*o**2 - 1. Let z = 17 - 16. Let r be d(z). Solve -2*t - r*m = 14, 5*t + 2*m + i = -m for t. 1 Suppose -4*h = -2*h - 50. Suppose 53 = 5*x + 3*b + 16, -27 = -3*x - 3*b. Solve 0 = -5*a - 4*d - x - 15, -2*a + h = -5*d for a. 0 Let u = 211 - 151. Suppose -5*i - 14 = -3*h + u, 4*h - 64 = -2*i. Let m be 3/((-6)/(-4))*2. Solve -1 = o - p, 5*o + h = -m*p - 14 for o. -4 Let k(w) = -w**2 - 8*w + 2. Let v be 2 - 0/(-2 + -1). Let c be -1 - v - 15/3. Let z be k(c). Solve 3*y = z*u + 4, 2*u = -y - 4*y - 4 for u. -2 Let a = 671 + -671. Solve a = 2*r - 5*y - 28, -6*r + 5*y + 24 = -5*r for r. 4 Let u = 3 + -3. Suppose -3*m + 5*k + 44 = u, 4*m + 2*k - 48 = -2*k. Solve -3*c = 2*n + m, 24 - 6 = -3*n - 3*c for n. -5 Let u be (26/(-6))/(3/(-9)). Solve h = 5*h - d + u, 0 = -3*h - 3*d + 9 for h. -2 Let s(y) = -y**3 - 16*y**2 - 59*y - 40. Let i be s(-11). Let w be (-2 - (1 - 2)) + 1. Let t = 0 + w. Solve t*k + i = -k, -3*f - 11 = 2*k for f. -1 Let w = -13 - -10. Let p be 0 - (w + 2 + -3). Solve -3*l - g - 3*g + 20 = 0, -4*l + p*g - 20 = 0 for l. 0 Suppose -26*y + 50*y = 48. Solve -3*t = -m - 2*m + 21, y*m + 6 = -2*t for t. -5 Let x = 3 - -15. Suppose 4*u = 5*u - 6. Suppose 5*k + u = 8*k. Solve -k*a - 5 = 4*v - a, -4*a = -3*v - x for v. -2 Suppose 0 = 5*g - g + 4. Let p be g/(-1)*110/10. Suppose -3*b + p = -1. Solve -4*q - 11 = -5*j, -b*q = -2*j - 0 + 2 for q. 1 Suppose -9*a + 7*a = -2. Solve -4*u + 2*u = 3*v - a, -2*u = -5*v + 23 for v. 3 Suppose 4*d - 10 = q, 2*d + 2*d - 2 = 5*q. Let w(r) = -21*r + 30*r - 4*r**2 + 3*r**2 + q. Let s be w(9). Solve 2*g = -u + 1, s*g + 0*g - 3*u = 5 for g. 1 Let w(x) = x + 3. Let p(k) = -3*k - 9. Let y(d) = 6*p(d) + 17*w(d). Let j be y(-4). Solve 4*m - j = -13, 2*q + 13 = -3*m for q. -2 Let o(n) = -2*n - 12. Let p be o(-9). Let m be -2 - -1 - 1/(-1). Suppose m = 3*v - p*v + 12. Solve -t - 4 = -2*s, 2*t - 4*s + s = -v for t. 4 Suppose 0 = -9*w + 4*w. Suppose -2*k = 2*b - 0*b + 2, 17 = 3*b - k. Solve w = -5*u - 3*m, -m = -b*u + 4*m for u. 0 Let u = 4 + 8. Let x(m) = m + 1. Let f(o) = -o - 7. Let s(i) = f(i) + 3*x(i). Let y be s(u). Solve h - c = 4, 0*h - 5*h - 5*c + y = 0 for h. 4 Suppose -3*h = 2*s - 12, -5*h + 16 = -h. Suppose -55*g - 2*l + 8 = -54*g, 4*g - 10 = 3*l. Solve -3*m = -s*m - g*c + 17, 3*m = -5*c + 1 for m. -3 Suppose -13*c - 25 = -5*x - 10*c, x - 5 = -5*c. Solve 2*f + 2 = 2*i, x*i + 3 = -0*f + f for i. -1 Suppose 7 = 4*u + j - 5, -3*j = -3*u + 24. Solve k = i - 3, -u*k + i + 2 = 17 for k. -4 Let f be -6 - ((-100)/35)/((-4)/(-14)). Solve 4 = -i + 3*s, f*s = -0*s + 4 for i. -1 Let x(j) = j**3 + 11*j**2 - 13*j - 42. Let w be x(-12). Let n = w - -32. Solve 0*t - n*t + 18 = -5*a, 4*a = -8 for t. 4 Suppose -5*r - 2 = -2*i - 21, 0 = -3*i + 4*r - 11. Suppose -3*s = 2*s - 10. Solve -l + 3*v + 6 = s*l, -i*l = v + 10 for l. -2 Suppose 149*y - 30 = 139*y. Solve d + 0 = -x - 2, -d = y*x + 12 for d. 3 Let p = 23 - 20. Let l(j) = j**3 - 5*j**2 + j - 2. Let m be l(5). Suppose -m*a = p*o - 18, 12 = 2*o + 3*a - 4. Solve -5*g = -t + 16, 0 = t + 3*g + 14 + o for t. -4 Let p be -2 + 0 - 0/(-11). Let z(t) = -2*t - 4. Let a be z(p). Suppose 6*o = 3*o + 15. Solve 19 = o*m + 3*x, m - x = -a*x + 7 for m. 5 Let r be (-2)/10 + 2821/155. Solve 2*w - 9 = -3*d, -3*d - 4*w - w = -r for d. 1 Let j(b) = -3*b**3 + 17*b**2 + 7*b - 12. Let t be j(6). Let k(m) = -m**2 - 7*m. Let h be k(t). Solve 2*p + 12 = -5*y, h = 3*p - 7*p - y for p. -1 Let r = 5 + -3. Suppose 95 = 5*c + j - 2*j, 0 = 4*c - 4*j - 92. Suppose 0*f = -f. Solve r*w - 2*y = 12, c = 5*w - y - f for w. 3 Let n = 191 - 181. Solve n - 2 = 2*h, -5*u = h - 4 for u. 0 Let h be (-4)/(-10) + 5*(-78)/(-150). Solve 18 = i -
{ "pile_set_name": "DM Mathematics" }
Is y a prime number? False Let m(y) = -y**2 + 10*y - 4. Let h be m(9). Suppose -h*z - 1592 = -10*z + l, -l + 322 = z. Is z prime? False Let g be 5/(-15) + (-1)/(-3). Suppose o - 1145 + 123 = g. Suppose 3*a + 371 - o = 0. Is a prime? False Let g = 14 - 18. Let p(c) = -7*c**3 - 27*c**2 - 10*c - 11. Let q(y) = 10*y**3 + 40*y**2 + 15*y + 16. Let b(z) = 7*p(z) + 5*q(z). Is b(g) a composite number? True Let i(b) = -1394*b + 3. Suppose -7*q + 4*q + 5*y - 23 = 0, 4*q + 24 = 5*y. Is i(q) a prime number? False Suppose 5*f = -u - 52, u + 3*u = -3*f - 225. Let q = u + 180. Is q prime? False Let r(p) = 6*p**3 + 7*p**2 - 14*p + 5. Let y(h) = h**3 + 12*h**2 - 3*h - 30. Let m be y(-12). Is r(m) prime? False Let w = 28 - 31. Is ((-16)/4 - w) + 574 composite? True Let a = 20399 + -6402. Is a composite? False Let q = 16239 + -8632. Is q composite? False Let a be 3*-1 + (119 - -6). Let d(y) = 4 - a*y - 8 + 9. Is d(-4) composite? True Suppose -13*s = -9*s - 11612. Is s composite? False Is ((1 - 10) + 14)*15706/10 a composite number? False Suppose 0 = 4*q - 17*q + 11089. Suppose 0 = -t + 3. Suppose -4*k + 5*m - t*m + 862 = 0, 4*k = 5*m + q. Is k composite? True Let x(t) be the first derivative of 7/3*t**3 - 1/2*t**2 - 5 - t. Is x(3) a composite number? False Let c = 68162 + -48615. Is c composite? True Let v be (-60)/40*(-20)/6. Suppose -5*h + 3*f - 15 - v = 0, 2*f = -2*h - 8. Is 643 + ((-32)/2)/h composite? False Let j be (16 + -11)*(1 + -6). Let c = -23 - j. Suppose -c*h + 5*w + 293 = 0, 2*h + 0*w - 297 = w. Is h a composite number? False Suppose -2*g + 0*o + 5*o = -30, 0 = o + 4. Suppose -2591 - 4394 = -g*v. Is v prime? False Is 0 - -1140 - (24/(-12))/(-2) composite? True Suppose 8*l + 331 = 1859. Suppose 0 = -4*p + 5*k - 12 - 1, 0 = 2*p - 2*k + 4. Suppose p*j - 946 = l. Is j prime? True Let q(t) = 9 - 3*t**3 - 2*t**2 + 0*t**2 - 7 + 2*t. Is q(-5) a composite number? False Let t(r) = 15*r**2 - 12*r - 95. Is t(-14) composite? True Let y(j) = j**2 - j + 1. Let a(n) = n**3 + 4*n**2 + 10. Let p be (0/2 + 1)/1. Let u(x) = p*a(x) - 6*y(x). Is u(7) composite? True Let z(s) = 493*s**2 + 14*s - 36. Is z(3) a composite number? True Let p = 831 - 442. Is p prime? True Let f = 17 + -10. Let l = f + -9. Is l/(-4) - 7740/(-40) a prime number? False Let a(b) = -140*b + 14. Let w(m) = 141*m - 15. Let q(i) = 4*a(i) + 5*w(i). Is q(5) prime? False Let j(s) = 30*s + 1. Let q be j(1). Suppose -4*y + 2*a = -q - 15, -2*y - 2*a + 8 = 0. Is 0 + 0 - (-338 - y) composite? False Let l = -11292 - -21581. Is l a prime number? True Let h(z) = z**2 - 1. Let y be h(3). Suppose 10*p = y*p + 4260. Suppose -6*r + 0*r = -p. Is r prime? False Let b = -16 + 22. Let m(t) = b*t**2 + 8*t**2 - 10*t**2 + 3. Is m(-4) a composite number? False Suppose -4*v - 6 = -11*g + 6*g, -3*v = g - 5. Is -1 + 1594 + 4/2 + g composite? False Let l(x) = -x**3 - 16*x**2 + 2*x + 28. Let m be l(-16). Is m*(-30216)/36*(-6)/(-16) prime? True Let t be 0 + 1 + (890 - -1). Suppose 201 + 343 = 17*z. Is t/z*-2*-4 a prime number? True Suppose -2*k + 11766 - 290 = 2*d, 2*k + 5735 = d. Is d prime? True Is (-27584)/(-6) - 112/336 composite? False Suppose -x = -3*i - 9070 + 648, -2*x - i = -16809. Is x composite? True Let d(j) = -5 + 10 - 3*j**3 + 2 + 9*j + 7*j**2 + 4*j**3. Let v(g) = -2*g**3 - 13*g**2 - 18*g - 13. Let k(y) = 9*d(y) + 4*v(y). Is k(-8) a prime number? True Let w = -633 - -1750. Is w a composite number? False Let u(o) = 6*o**3 - 9*o**2 + 2*o + 8. Let b be u(9). Let c = b - 2128. Is c a composite number? False Suppose u + 3*l + 3 = 2*u, -9 = -3*u + 3*l. Suppose v - 16 = 2*h - u*v, v - 7 = h. Is ((-2)/h)/(3/2403) a prime number? False Suppose -4*a + 6*a - 18 = -4*t, -t + 3 = 2*a. Is (a - 2)*27343/(-111) prime? True Suppose 0 = 4*n - 2*m - 11118, -2*n + 4*m = -7400 + 1838. Is n a composite number? True Let y(t) = -t**3 + 2*t**2 + 5. Let w be y(0). Suppose -c - f + 211 = -6*f, w*c + 3*f - 943 = 0. Is c a prime number? True Let t(c) = -2 + 4*c**3 + 60*c**3 + c + c - 9*c**3. Is t(1) composite? True Suppose 2*a - 2716 = -2*r, 8*r = 6*r - 4*a + 2706. Is r prime? False Suppose -5*q - 13315 = -2*n - 37911, -3*n - 9 = 0. Is q composite? True Let k(c) = -27*c + 5923. Is k(0) a composite number? False Let o(v) = -v**3 + 15*v**2 - 13*v - 6. Let b be o(14). Suppose b*g = 3*g + 35. Suppose 5*p - 18 = g, -3*p = 4*c - 523. Is c a prime number? True Suppose -581 = -m + 30. Suppose 2*b - 2*w = -412, 3*b + 0*w + m = -4*w. Let z = 396 + b. Is z a composite number? False Suppose 0*y + 7760 = o + 2*y, 5*y + 23247 = 3*o. Is o composite? True Let r(i) = 15*i**3 - 4*i**3 - 1 + 0*i**2 + 2*i**2 + i. Is r(3) a composite number? False Suppose 4*g - 46 = -2*f, -5*f = 4*g - f - 56. Suppose g = b - 0*b. Suppose -b = -y + 10. Is y a prime number? True Let g be 29 - (-1)/1*-4. Let v = g + -23. Is (-1 + v)*(-2 - -73) a composite number? False Suppose -o + 6289 - 24200 = -p, p + 3*o = 17907. Suppose 5962 = x - 3*s, 5*s = 3*x + 4*s - p. Is x a prime number? False Is (-30175)/(-13) - (-20)/(-130) a composite number? True Suppose 4525*i - 4531*i = -183786. Is i a prime number? True Suppose 0 = 150*o - 156*o + 139626. Is o a composite number? True Let i(t) = 2295*t**2 - 6*t + 26. Is i(3) composite? False Let u(k) = -k**3 + 19*k**2 + 15*k + 10. Is u(-23) prime? False Let v = 4795 + 3036. Is v a composite number? True Suppose -2*c - 2*c = -5*d + 28, 5*c + 3*d + 35 = 0. Let h(t) = -17*t + 12. Is h(c) a prime number? True Let h be (-3 - 2)*(-4)/4. Suppose -h*u - 24 = -u. Is 113 + 0/(u/3) prime? True Let o(l) = -10*l - 1. Let g be 5 + 8 + (1 - 2). Suppose -5*f - g = f. Is o(f) composite? False Suppose 0 = -919*b + 921*b - 2390. Is b composite? True Let p(i) = -2*i**3 - 2*i - 1. Let v be p(-1). Let d be 16/4 + v - 3. Suppose -d*m = -2*m - 70. Is m a prime number? False Let a(l) = -61*l + 5 + 12 + 4 - 2. Is a(-10) prime? False Suppose 5*d + 23 - 83 = 0. Let h(x) = x**3 - 12*x**2 - x + 15. Let b be h(d). Is 2 - -2 - b - -148 a prime number? True Let f be (13 - 6) + -2 + -1. Suppose -f*a + 1296 = -s, -2*a + 3*a - 335 = 3*s. Suppose 8*q - 3*q - 2*r - 1651 = 0, 4*r + a = q. Is q a prime number? True Let w(r) = r**3. Let n be w(2). Suppose n + 0 = 2*j. Is (-870)/(-3) + -1 + j a prime number? True Suppose -4*y - 3*s + 32 = 0, -y - y + s + 6 = 0. Suppose 9 = y*x - 5*v - 26, 0 = x - 2*v - 9. Is ((-838)/8)/(x/(-20)) composite? False Suppose -5*z - 7 - 3 = 0, 10 = -2*l - 2*z. Is (102/l)/(2 + (-48)/22) prime? False Let d be (-9)/(-2) + 4/(-8). Let z(u) = 74*u - 1. Is z(d) a composite number? True Suppose -23*w = -21*w - 5994. Suppose 2*q + 7*k - w = 6*k, -5*q = 3*k - 7490. Is q composite? True Let p(n) = 75*n. Suppose 0 = 5*b + 3*y + 34, 3*y + 2 = -0*b - b. Let v be p(b). Is 3/(-6)*(v - -2) composite? True Let y be (-15)/6*(1 - (-27)/(-15)). Is (y + -3)*5147*-1 a composite number? False Suppose -25*h = 363504 - 1124179. Is h prime? True Let h = 67 + -134. Let i = h - -381. Is i a prime number? False Suppose 0*c - 234 = 4*d - 2*c, -d + c - 58 = 0. Let t(w) = 20*w**3 - 5*w + 3. Let p be t(2). Let k = p + d. Is k a prime number? False Suppose -3*o = 5*c - 44624, c - 2*o - 8914 = o. Is c a composite number? False Let o(u) = u + 4. Let p be o(0). Is ((-222)/p)/(6/(-12)) prime? False Suppose -r = -0 + 4, 4*b + 4*r = 3780. Let o(z) = z - 642. Let q be o(0). Let s = b + q. Is s a prime number? True Let r = -1904 - -2871. Is r composite? False Suppose -5*b + 4*b = n + 1, 0 = 3*b + 2*n. Suppose 789 = g + 4*q, -b*g - 5*q + q = -1598. Is g a prime number? True Let u(s) = -s**3 + 17*s**2 + 16*s - 3. Let f be u(13). Suppose -4*x - 2*r + f + 5 = 0, -5*x + 1115 = -5*r. Let w = x + -79. Is w composite? True Suppose j - 9*j - 2*j = 0. Suppose g - 3727 = -5*t, -t + j*g + 2*g = -752. Is t a prime number? False Let x = 13 + -10. Let a(v) = 16*v + 2*v**x - v**3 - 11*v + 1 + 11*v**2 + 2*v**2. Is a(-6) a composite number? False Let g(n) = -n**2 + n + 1. Let j(o) = 46*o**2 + 15*o - 9. Let h(w) = -2*g(w) + j(w). Let b(c) be the first derivative of h(c). Is b(7) a composite number? True Is (-837 + -25)/((-2)/11) prime? False Let a be (-26 - 0)/((-26)/39). Let j = -29 + a. Is j a composite number? True Let o(w) = 137*w - 5. Is o(6) a prime number? False Suppose -14 + 12 = z. Let h be -251*-3*z/3. Is h/(
{ "pile_set_name": "DM Mathematics" }
, x: 4, t: 1}. Give prob of sequence qx. 2/33 Four letters picked without replacement from {y: 1, u: 2, k: 1, n: 2, l: 1}. Give prob of sequence knku. 0 What is prob of sequence zx when two letters picked without replacement from {c: 2, x: 1, z: 1}? 1/12 What is prob of sequence axxw when four letters picked without replacement from sxwwwsaxwaxwawaasa? 1/340 Three letters picked without replacement from ffffff. Give prob of sequence fff. 1 Three letters picked without replacement from {f: 5, l: 9, h: 2, s: 2}. What is prob of sequence ffs? 5/612 Calculate prob of sequence eq when two letters picked without replacement from eql. 1/6 Calculate prob of sequence xkr when three letters picked without replacement from kkrxr. 1/15 Two letters picked without replacement from jkjjjkzkjjzkz. What is prob of sequence jz? 3/26 Calculate prob of sequence ev when two letters picked without replacement from {e: 1, c: 1, v: 17}. 17/342 Calculate prob of sequence unro when four letters picked without replacement from onoroorouroorrfn. 1/624 Three letters picked without replacement from xikkikiikixkikixx. What is prob of sequence kxi? 7/170 Two letters picked without replacement from {t: 5, h: 5, x: 4}. Give prob of sequence ht. 25/182 What is prob of sequence lkij when four letters picked without replacement from {k: 2, i: 1, g: 4, j: 1, l: 1, d: 3}? 1/5940 What is prob of sequence dd when two letters picked without replacement from ccdcccccccccd? 1/78 Calculate prob of sequence mkk when three letters picked without replacement from mikkikikmkpvpkmkpv. 7/272 What is prob of sequence zrar when four letters picked without replacement from assrrzasaanrrrsa? 5/2184 What is prob of sequence kp when two letters picked without replacement from pyffk? 1/20 Four letters picked without replacement from {p: 3, c: 6, r: 6}. What is prob of sequence rprp? 1/182 Four letters picked without replacement from {r: 5, y: 9}. What is prob of sequence yyrr? 60/1001 What is prob of sequence aw when two letters picked without replacement from {v: 2, w: 2, x: 1, r: 2, g: 1, a: 1}? 1/36 What is prob of sequence hh when two letters picked without replacement from {p: 2, h: 7, v: 6}? 1/5 What is prob of sequence mrr when three letters picked without replacement from {m: 4, r: 7, b: 1, z: 8}? 7/285 Two letters picked without replacement from kjkvnzkkkkkkzkvkz. Give prob of sequence kj. 5/136 What is prob of sequence ll when two letters picked without replacement from {j: 6, l: 2}? 1/28 Calculate prob of sequence jjj when three letters picked without replacement from jjcjczzzczczz. 1/286 What is prob of sequence mz when two letters picked without replacement from vbbbzbmzomommvovmm? 2/51 Calculate prob of sequence ioo when three letters picked without replacement from {i: 2, o: 2}. 1/6 Calculate prob of sequence ev when two letters picked without replacement from {v: 5, e: 2}. 5/21 Three letters picked without replacement from {k: 1, e: 3, u: 2, x: 2, a: 4}. What is prob of sequence eux? 1/110 Two letters picked without replacement from onkkonknnynyondndkhk. Give prob of sequence kn. 7/76 What is prob of sequence ffpf when four letters picked without replacement from {p: 2, f: 6}? 1/7 Four letters picked without replacement from wxwwxwxxxtwwwxwxwwx. What is prob of sequence wxwx? 35/646 Calculate prob of sequence xxc when three letters picked without replacement from xhhhchx. 1/105 Two letters picked without replacement from {r: 3, i: 1, e: 6, s: 1, d: 2}. What is prob of sequence er? 3/26 Four letters picked without replacement from {e: 2, r: 3, h: 8, s: 2, d: 1, x: 1}. Give prob of sequence drxh. 1/2380 What is prob of sequence fomo when four letters picked without replacement from {f: 2, o: 8, m: 2}? 28/1485 Calculate prob of sequence sqa when three letters picked without replacement from {q: 1, s: 1, a: 1}. 1/6 What is prob of sequence zf when two letters picked without replacement from {a: 11, z: 2, f: 1}? 1/91 What is prob of sequence rd when two letters picked without replacement from {d: 1, q: 7, h: 2, r: 1, t: 5}? 1/240 Calculate prob of sequence osss when four letters picked without replacement from ooosfosfssososssas. 7/170 Two letters picked without replacement from aavaaavaaaaa. Give prob of sequence vv. 1/66 Calculate prob of sequence nngn when four letters picked without replacement from nngngnnnnnngngnnnn. 91/765 Three letters picked without replacement from {q: 3, f: 15}. Give prob of sequence qfq. 5/272 Calculate prob of sequence vjh when three letters picked without replacement from vvhovovhgnvvvhvj. 1/140 Calculate prob of sequence zz when two letters picked without replacement from {z: 4, i: 3}. 2/7 Four letters picked without replacement from aaaaaoaoaoaaaaooao. What is prob of sequence aoaa? 11/102 Three letters picked without replacement from {j: 3, e: 4, t: 2, i: 1, z: 4}. Give prob of sequence jie. 1/182 Two letters picked without replacement from {w: 10, c: 8, l: 1}. What is prob of sequence cc? 28/171 Three letters picked without replacement from rsrazllv. What is prob of sequence asl? 1/168 Three letters picked without replacement from {k: 2, z: 8}. What is prob of sequence zzk? 7/45 Calculate prob of sequence gkk when three letters picked without replacement from kkkkkkkkkkkmgkk. 2/35 Two letters picked without replacement from ttttttttdtddtttttdtd. Give prob of sequence td. 15/76 Two letters picked without replacement from ngngdqk. Give prob of sequence qn. 1/21 What is prob of sequence uih when three letters picked without replacement from {u: 2, i: 7, h: 1}? 7/360 Four letters picked without replacement from {t: 3, h: 1, g: 3, s: 3, o: 1, a: 2}. What is prob of sequence gosa? 3/2860 What is prob of sequence qqll when four letters picked without replacement from qqqqqqqqlqqqlqql? 3/140 What is prob of sequence yjyy when four letters picked without replacement from {y: 8, w: 3, j: 6}? 3/85 What is prob of sequence hz when two letters picked without replacement from {h: 3, z: 5, n: 1, m: 6, c: 3}? 5/102 Three letters picked without replacement from pmmpmmmmmmmmmmmmmmmm. Give prob of sequence ppm. 1/190 Three letters picked without replacement from ssxkkks. Give prob of sequence xks. 3/70 What is prob of sequence cb when two letters picked without replacement from fabbppccv? 1/18 Four letters picked without replacement from tttttqqtqt. What is prob of sequence qqtt? 1/20 What is prob of sequence gh when two letters picked without replacement from phggghhhp? 1/6 What is prob of sequence ei when two letters picked without replacement from eooieeoooiiioooo? 1/20 Calculate prob of sequence ttvv when four letters picked without replacement from {v: 10, t: 9}. 45/646 Four letters picked without replacement from iiqtitiittixi. Give prob of sequence itit. 21/715 Three letters picked without replacement from cwaw. Give prob of sequence acw. 1/12 What is prob of sequence aaa when three letters picked without replacement from {r: 6, a: 3, u: 1, q: 7}? 1/680 What is prob of sequence rk when two letters picked without replacement from kjrijkjwrk? 1/15 Calculate prob of sequence niii when four letters picked without replacement from iiihiniiiiiihi. 15/364 Two letters picked without replacement from {o: 3, u: 1, t: 1, e: 2}. Give prob of sequence eu. 1/21 What is prob of sequence snpn when four letters picked without replacement from znwwppzzznnspzzw? 3/7280 Three letters picked without replacement from pppuppppuppppupppppu. What is prob of sequence pup? 8/57 Three letters picked without replacement from {j: 6, d: 1, n: 3, g: 2, c: 4, v: 3}. Give prob of sequence cdc. 2/969 What is prob of sequence oy when two letters picked without replacement from yoyyyyyy? 1/8 Calculate prob of sequence sbab when four letters picked without replacement from llbwlwbwllsasrslll. 1/12240 What is prob of sequence wivi when four letters picked without replacement from wzizizviizvzzzztzizt? 1/2907 Two letters picked without replacement from glggggglllgglg. What is prob of sequence gl? 45/182 Two letters picked without replacement from xsuuxsxuusbbtxuxx. What is prob of sequence tx? 3/136 Three letters picked without replacement from aaoaafooooooa. Give prob of sequence aoa. 35/429 What is
{ "pile_set_name": "DM Mathematics" }
6 (b) 775 (c) 4/5 (d) 5 (e) 0.1 c What is the nearest to -8 in -1, 1, 1795, -4/25, 2? -1 Which is the nearest to -8/13? (a) 2/9 (b) 3 (c) 2/351 c Which is the closest to -0.1? (a) 4/7 (b) 1046 (c) -5 (d) -3/5 (e) 1/2 d What is the nearest to 0.9 in -1/5, 1, -2.21, 162, 16, -0.1? 1 Which is the closest to 0.09? (a) -2 (b) -251/2867 (c) 5 b What is the closest to 0.1 in -0.01502, -2, 4/7, 0, -2/33? 0 What is the nearest to -1.1 in -25, -2, -10/17, 22.28? -10/17 Which is the nearest to -743? (a) -42 (b) -3 (c) 25 a What is the nearest to 0 in -18, -1/12, -3/5, 0.01076, -3? 0.01076 What is the closest to -0.1 in 0.05584, 10, -0.1? -0.1 Which is the closest to 2? (a) -5 (b) 3/4 (c) 0.2 (d) -17/2 (e) -7 b What is the nearest to -4 in -8/201, 2, 12.8, 1, -0.5? -0.5 What is the closest to 5101 in -3, 4/5, 1262, -0.1? 1262 Which is the nearest to -0.5? (a) -2 (b) 4 (c) -0.3 (d) -68984 (e) 3.3 c What is the nearest to -1 in -107/6, -749, 6/35? 6/35 What is the nearest to -0.01 in -70, -3/8, -4, -113097? -3/8 Which is the nearest to -20? (a) 5 (b) -12 (c) 1850 (d) -19 d Which is the nearest to 2? (a) 5 (b) -0.7 (c) 336.6 (d) -8 b What is the nearest to -0.6 in -4, -5, 2/8831, -0.1, -2? -0.1 Which is the closest to -2/5? (a) 4 (b) 0.36 (c) 114.5 (d) -5 b What is the nearest to -1 in -4/7, 155, -2/5, -2269? -4/7 What is the closest to 44 in -0.4, 5098, 5? 5 Which is the closest to -10? (a) -55/6 (b) 29.3 (c) 0.06 a What is the closest to -10.798 in 0.034, 4, -0.2, 3, -4? -4 Which is the closest to 2? (a) 0.1 (b) 25837/11 (c) -28 (d) 0.3 (e) -0.5 d Which is the closest to -0.2? (a) 2 (b) 22.4 (c) -3 (d) -1/15 (e) 538 d What is the nearest to -1 in 1, -5, 713620, 5? 1 What is the closest to -2/9 in 15/47, -0.4, -3, 4/47? -0.4 What is the closest to 2/9 in -2101, 354, 0, -1? 0 Which is the closest to 0? (a) -2/13 (b) 0.2 (c) -5 (d) -12/719 (e) -4 d Which is the closest to 1242? (a) 8.2 (b) -2/9 (c) 2 a Which is the nearest to 17? (a) 4/53 (b) 4 (c) -1/5 (d) -0.28 (e) 0.069 b Which is the closest to 0? (a) -112.9 (b) 0.8 (c) 2/659 c Which is the closest to 2? (a) -0.07 (b) 191940 (c) 1/6 (d) -1 c Which is the closest to -0.2? (a) 0.5 (b) 1 (c) -0.03 (d) -2703 (e) -0.5 c What is the nearest to -1 in 1/15, -8792, 0.2? 1/15 Which is the closest to 0.2? (a) -3 (b) 0.11 (c) 2 (d) 74 (e) 704 b What is the nearest to 1/3 in -20/83, 0.0356, 0.4? 0.4 What is the nearest to 24 in 20, 6, -51, 2, 8? 20 Which is the nearest to -575? (a) 0.3 (b) 4 (c) -113 (d) -0.5 (e) -7 c What is the closest to 7 in -0.4, -3, -4, -0.0266, 148? -0.0266 Which is the closest to -3/5? (a) 6 (b) -4 (c) -262 (d) -1 d What is the closest to 4 in 10297.2, -5, 216? -5 Which is the nearest to 1/3? (a) -0.2 (b) -8.16 (c) 1.41 (d) -0.14 d Which is the nearest to -77? (a) 28/5 (b) 56 (c) -1/3 c What is the closest to 10 in 0.2, -344405, -0.2? 0.2 Which is the nearest to 3? (a) -0.129 (b) 0 (c) -0.2 (d) 20869 b Which is the nearest to 17.67? (a) 13 (b) -0.3 (c) -1/10 (d) 1/9 a What is the nearest to 147 in 7.6, 1/8, -0.5, 2, 12? 12 What is the nearest to 28/9 in 2, 3, 39/5, 17, -2? 3 Which is the closest to -1/3? (a) -4/3 (b) -47/6 (c) -5/6 (d) -3/17 d What is the closest to -6 in -71.8, 3/10, -16? 3/10 Which is the closest to 1/4? (a) 2725 (b) -1.2345 (c) 4/3 c Which is the closest to -2/9? (a) 0.1 (b) -85 (c) 13860 (d) 30 (e) 2/9 a Which is the nearest to 1/4? (a) 1/9 (b) -206 (c) -37.9 (d) 0.4 (e) -2 a Which is the nearest to 0.11? (a) 295 (b) 0.2 (c) -2/17 (d) -0.1 (e) -0.2 (f) 53 b What is the nearest to -0.1 in 6/7, 2/11, 55, -26, -2/35? -2/35 What is the closest to -2/7 in -22743, -4, -2/15? -2/15 Which is the closest to -855? (a) 0.4 (b) 0.33 (c) -2 (d) -0.05 c What is the nearest to 0.1 in -5, 0, 6111, 2/1085, -4? 2/1085 Which is the closest to 3/7? (a) -2 (b) -4/5 (c) 1 (d) 2/65 (e) 7 d Which is the nearest to 1/4? (a) -41 (b) -3/884 (c) 4 b What is the closest to -0.1 in 49, -0.2, -2, -3, -3/23, 2/131? -3/23 Which is the closest to -21? (a) -64 (b) 3 (c) -1/3 (d) 0.097 c Which is the nearest to -1/20? (a) -2/9 (b) 10.71 (c) 12 a Which is the closest to -2/5? (a) -0.1 (b) -3/10 (c) 8/11 (d) 1 (e) 5/26 b Which is the closest to -0.09? (a) -60661459 (b) -3/8 (c) 0 c What is the closest to 2627/6 in 1/120, 5, 21? 21 What is the nearest to -0.3 in -0.06, -0.056197, 61? -0.06 What is the closest to 0.4 in 5, 46/9, 1/8, -5, -0.03? 1/8 Which is the closest to -7? (a) -47 (b) 1/6 (c) -3/31045 c What is the nearest to 1236 in 0.4, 38, 6, -3? 38 Which is the nearest to -1? (a) 0.3 (b) -27.6 (c) -0.13 (d) -4 (e) -4/9 e Which is the closest to 0? (a) -0.14 (b) -1/2 (c) -2/85837 (d) 1/4 c Which is the closest to 14/9? (a) -0.1 (b) 0.5 (c) 18/7 (d) 5 (e) 33 c Which is the nearest to 4.7957? (a) 5 (b) 12 (c) 0.4 a What is the closest to -3 in 5, -3/11, -5/3, -1/7, -1, -1/1127? -5/3 Which is the nearest to 1/2? (a) -2 (b) -0.2 (c) 0.02 (d) -6 (e) -1061 c Which is the closest to -14? (a) -1/2 (b) 0.80666 (c) 1 a What is the nearest to 2 in -0.35, -1, -0.01, 187, 0? 0 Which is the nearest to 20? (a) 5 (b) 0.05397 (c) 0.02 (d) 0.3 a What is the closest to -183 in 2/9, 113.4, 0.4? 2/9 Which is the closest to -2? (a) -2/23 (b) -6 (c) -1 (d) 115/73 c Which is the nearest to -44/13? (a) 0.78 (b) -14 (c) 0.4 c Which is the nearest to -2/19? (a) 1/2 (b) 126164 (c) 2/21 (d) 33 c What is the nearest to -14 in 0.11, 12334, 2/7? 0.11 What is the closest to 0.03 in 94, 2, -0.5, -0.9? -0.5 What is the closest to -11 in -8076, -3, -4/9, 0.3? -3 What is the closest to -0.1 in -2/805, -3, 0, -4, -5? -2/805 What is the closest to -30/31 in -14.6, -2, -1/112? -1/112 What is the closest to -95 in 13550, -1.3, -4? -4 Which is the nearest to 1? (a) -0.04 (b) 2 (c) 1 (d) -1 (e) 993 c Which is the nearest to 2/159? (a) -2 (b) 1/3 (c) 2 b Which is the nearest to 0.01? (a) -4.5 (b) 87 (c) 1/5 c Which is the closest to 2/19? (a) -7 (b) 0.1 (c) 471 b Which is the nearest to 184? (a) -4 (b) -0.11 (c) -13/29 b What is the nearest to 234 in -40, 1, -2? 1 Which is the closest to -10? (a) 249 (b) 1/17 (c) -6 (d) -2/13 c Which is the closest to -0.2? (a) 18/5 (b) 6/13 (c) -8 (d) 2/9 d Which is the nearest to 2? (a) 0.2 (b) 163.9 (c) -6/5 (d) 1/6 (e) 0.9 (f) 1.5 f What is the closest to -2/115 in 7/6, -0.3, -2/5, 63, 3, 60? -0.3 What is the closest to 1/4 in 10.8, 2296, 3/5? 3/5 Which is the nearest to 5/8? (a) 1 (b) 11 (c) -5/586 a What is the closest to 13/2 in -3/2, -2, -1/7, 0, 7, 1270? 7 What is the nearest to 8.8 in 1, -4, 22, 0.02, 5? 5 What is the nearest to -0.1 in -26/41, -1/2, 1/3, 0, 7.28? 0 Which is the nearest to 37? (a) -2/3 (b) -0.5 (c) 27/11 (d) -2 (e) -1 c What is the nearest to 2 in 171, 2, -0.5, -119, -2? 2 Which is the closest to -0.078? (a) 3/2 (b) 0.1 (c) -1 (d) 11 (e) 3 (f) 2 b Which is the nearest to 1? (a) -0.465 (b) -0.5 (c) 2 (d) 3/17 (e) -2/63 d What is the nearest to -1 in -15, 26, 2, 1, -328? 1 Which is the nearest to -0.08? (a) -1 (b) 9 (c) 1/4 (d) -0.13 (e) 7/51 d What is the nearest to 1 in 2066, 0.001, -12? 0.001 Which is the closest to -12? (a) -2/7 (b) -2 (c) 4 (d) -0.2 (e) -598 (f) -1 b What is the nearest to 0.2448 in 0.05, -13, -4, -0.14? 0.05 Which is the nearest to 3/2800? (a) 0 (b) 3/5 (c) -1 (d) 2/25 (e) 2/7 a Which is the closest to 2? (a) -2/15 (b) 0.05 (c) 3 (d) 12 c What is the nearest to 1/2 in 5, 3, 0.1, 2, 1765, 12/25? 12/25 Which is the closest to 1/2? (a) 0.5 (b) 28 (c) -5 (d) -6.217 a Which is the nearest to -3? (a) 0.624 (b) 1/3 (c) -6 (d) -27 c What is the nearest to 2 in -56, -15095, -3, -4, 2/11? 2/11 Which is the nearest to -0.105? (a) 5 (b) -48 (c) -10 a Which is the nearest to 94? (a) -1 (b) -2/9 (c) -3/337 (d) -3 (e) 6 e What is the closest to -0.05 in -3072, 3, -0.3, 35? -0.3 What is the closest to 0.17 in 0.3, -3, 0.2, 2/537, 5? 0.2 What is the closest to -0.074066 in -1/2, 0.12, -1/4, -4/5, -6/5? -1/4 Which is the nearest to 2/11? (a) -4142 (b) -28 (c) 2/9 (d) 2/5 (e) -0.1 c Which is the n
{ "pile_set_name": "DM Mathematics" }
264 is divided by 147? 121 What is the remainder when 5416 is divided by 18? 16 Calculate the remainder when 100922 is divided by 50374. 174 Calculate the remainder when 1788 is divided by 6. 0 Calculate the remainder when 81717 is divided by 13616. 21 Calculate the remainder when 50697 is divided by 4606. 31 Calculate the remainder when 252034 is divided by 9334. 16 Calculate the remainder when 267378 is divided by 19098. 6 What is the remainder when 1575 is divided by 146? 115 What is the remainder when 15348 is divided by 3818? 76 What is the remainder when 47866 is divided by 187? 181 Calculate the remainder when 765048 is divided by 95631. 0 Calculate the remainder when 8232 is divided by 135. 132 Calculate the remainder when 91025 is divided by 30334. 23 Calculate the remainder when 33360 is divided by 1131. 561 What is the remainder when 642894 is divided by 61? 15 What is the remainder when 22378 is divided by 135? 103 Calculate the remainder when 270841 is divided by 4513. 61 What is the remainder when 5835 is divided by 51? 21 What is the remainder when 12012 is divided by 4001? 9 What is the remainder when 377 is divided by 227? 150 Calculate the remainder when 113456 is divided by 92. 20 What is the remainder when 71851 is divided by 557? 555 Calculate the remainder when 9358 is divided by 208. 206 What is the remainder when 55781 is divided by 1193? 903 Calculate the remainder when 517801 is divided by 178. 177 Calculate the remainder when 59582 is divided by 7443. 38 Calculate the remainder when 32600 is divided by 168. 8 What is the remainder when 2657 is divided by 702? 551 What is the remainder when 72501 is divided by 41? 13 Calculate the remainder when 207172 is divided by 69056. 4 Calculate the remainder when 25938 is divided by 59. 37 What is the remainder when 8786 is divided by 65? 11 What is the remainder when 15306 is divided by 7644? 18 What is the remainder when 3390 is divided by 45? 15 Calculate the remainder when 166662 is divided by 44. 34 Calculate the remainder when 42602 is divided by 10646. 18 Calculate the remainder when 2722 is divided by 86. 56 What is the remainder when 1685 is divided by 245? 215 What is the remainder when 3332 is divided by 261? 200 Calculate the remainder when 2470 is divided by 644. 538 What is the remainder when 12861 is divided by 12838? 23 Calculate the remainder when 52649 is divided by 763. 2 What is the remainder when 52916 is divided by 7551? 59 Calculate the remainder when 1421133 is divided by 278. 275 Calculate the remainder when 3959 is divided by 1973. 13 What is the remainder when 1790 is divided by 305? 265 Calculate the remainder when 108 is divided by 99. 9 What is the remainder when 173795 is divided by 756? 671 What is the remainder when 177 is divided by 105? 72 Calculate the remainder when 1020539 is divided by 730. 729 Calculate the remainder when 217451 is divided by 118. 95 What is the remainder when 16023 is divided by 2? 1 Calculate the remainder when 22234 is divided by 22230. 4 What is the remainder when 1366932 is divided by 227822? 0 What is the remainder when 1716 is divided by 787? 142 Calculate the remainder when 30241 is divided by 105. 1 What is the remainder when 114134 is divided by 878? 872 What is the remainder when 317 is divided by 159? 158 Calculate the remainder when 137887 is divided by 9. 7 What is the remainder when 136146 is divided by 202? 200 What is the remainder when 45565 is divided by 991? 970 Calculate the remainder when 6136 is divided by 6027. 109 Calculate the remainder when 25877 is divided by 57. 56 Calculate the remainder when 10328 is divided by 101. 26 Calculate the remainder when 357248 is divided by 71449. 3 Calculate the remainder when 293468 is divided by 116. 104 What is the remainder when 19363 is divided by 4776? 259 What is the remainder when 34073 is divided by 569? 502 Calculate the remainder when 106781 is divided by 2179. 10 Calculate the remainder when 119978 is divided by 14. 12 What is the remainder when 873 is divided by 494? 379 What is the remainder when 83250 is divided by 106? 40 What is the remainder when 6534374 is divided by 41? 40 What is the remainder when 9634 is divided by 679? 128 Calculate the remainder when 11993 is divided by 11940. 53 What is the remainder when 13330 is divided by 1718? 1304 What is the remainder when 85974 is divided by 116? 18 What is the remainder when 4058 is divided by 579? 5 Calculate the remainder when 14013 is divided by 351. 324 Calculate the remainder when 19251 is divided by 6408. 27 Calculate the remainder when 10600 is divided by 560. 520 What is the remainder when 24110 is divided by 289? 123 Calculate the remainder when 27243 is divided by 13406. 431 What is the remainder when 1190 is divided by 1167? 23 What is the remainder when 61123 is divided by 453? 421 Calculate the remainder when 501922 is divided by 20913. 10 Calculate the remainder when 3310443 is divided by 1094. 1093 Calculate the remainder when 1804 is divided by 197. 31 Calculate the remainder when 579464 is divided by 58. 44 Calculate the remainder when 16338 is divided by 2362. 2166 What is the remainder when 48682 is divided by 69? 37 Calculate the remainder when 573085 is divided by 8. 5 What is the remainder when 247239 is divided by 181? 174 Calculate the remainder when 294195 is divided by 98053. 36 What is the remainder when 142416 is divided by 330? 186 Calculate the remainder when 1385 is divided by 283. 253 Calculate the remainder when 953 is divided by 109. 81 What is the remainder when 46278 is divided by 15425? 3 Calculate the remainder when 3935 is divided by 241. 79 What is the remainder when 175164 is divided by 136? 132 Calculate the remainder when 6486 is divided by 240. 6 Calculate the remainder when 2328 is divided by 422. 218 Calculate the remainder when 38277 is divided by 145. 142 Calculate the remainder when 46750 is divided by 147. 4 What is the remainder when 2404 is divided by 473? 39 What is the remainder when 18144 is divided by 6043? 15 Calculate the remainder when 1030831 is divided by 73. 71 Calculate the remainder when 6478 is divided by 712. 70 What is the remainder when 72489 is divided by 9? 3 Calculate the remainder when 3795 is divided by 103. 87 What is the remainder when 5723219 is divided by 510? 509 Calculate the remainder when 88558 is divided by 40. 38 Calculate the remainder when 3802 is divided by 159. 145 What is the remainder when 63105 is divided by 4507? 7 Calculate the remainder when 16537 is divided by 7. 3 What is the remainder when 670 is divided by 66? 10 What is the remainder when 4751 is divided by 397? 384 What is the remainder when 386113 is divided by 2157? 10 What is the remainder when 1402 is divided by 83? 74 What is the remainder when 86233 is divided by 15? 13 What is the remainder when 34409 is divided by 185? 184 Calculate the remainder when 170045 is divided by 141. 140 Calculate the remainder when 3597 is divided by 1400. 797 What is the remainder when 409848 is divided by 207? 195 Calculate the remainder when 1005 is divided by 114. 93 Calculate the remainder when 323836 is divided by 305. 231 Calculate the remainder when 872 is divided by 100. 72 Calculate the remainder when 15824 is divided by 15. 14 Calculate the remainder when 9512 is divided by 179. 25 What is the remainder when 3163 is divided by 2510? 653 What is the remainder when 19254 is divided by 43? 33 Calculate the remainder when 7219 is divided by 603. 586 What is the remainder when 66117 is divided by 26? 25 Calculate the remainder when 1999 is divided by 21. 4 What is the remainder when 312712 is divided by 375? 337 Calculate the remainder when 2937 is divided by 37. 14 Calculate the remainder when 1989529 is divided by 982. 979 Calculate the remainder when 429385 is divided by 28625. 10 What is the remainder when 1470 is divided by 715? 40 Calculate the remainder when 117114 is divided by 484. 470 What is the remainder when 1422 is divided by 110? 102 Calculate the remainder when 1344 is divided by 185. 49 What is the remainder when 12628 is divided by 57? 31 What is the remainder when 250622 is divided by 33? 20 What is the remainder when 4753 is divided
{ "pile_set_name": "DM Mathematics" }
. What is x(9)? -55 Let y(x) = -85*x - 3486. Give y(-42). 84 Let p(o) = 3*o**2 - 18*o - 14. Determine p(5). -29 Let n(g) = 3*g**3 + 12*g**2 - 227*g - 30. What is n(7)? -2 Let o(f) = -f - 356. What is o(33)? -389 Let a(c) = 52*c - 692. What is a(14)? 36 Let z(i) = 3*i + 97. Calculate z(-22). 31 Let l(f) = 2*f**2 + 44*f - 408. Give l(7). -2 Let a(k) = -k**3 - 15*k**2 - 19*k - 16. What is a(-14)? 54 Let w(z) = -2*z**3 + 19*z**2 + 3*z - 20. What is w(8)? 196 Let w(r) = 190*r - 1495. Determine w(8). 25 Let o(a) = -281*a + 956. Calculate o(3). 113 Let q(i) = i**2 + 60*i + 682. Determine q(-15). 7 Let u(l) = l**3 - 6*l**2 - 433*l + 4495. What is u(14)? 1 Let t(v) = 7*v**2 + 269*v + 45. What is t(-39)? 201 Let z(c) = -3*c**2 + 86*c - 200. Determine z(26). 8 Let a(s) = 6*s**2 + 28*s + 1. Give a(-3). -29 Let r(x) = -29*x + 275. What is r(11)? -44 Let u(s) = 326*s - 3285. Calculate u(10). -25 Let g(n) = n**3 + 55*n**2 + 51*n - 196. Give g(-54). -34 Let z(h) = -h**3 + 20*h**2 + 115*h - 44. What is z(25)? -294 Let y(v) = -51*v**2 + 230*v - 6. What is y(5)? -131 Let p(m) = 169*m - 1265. Calculate p(8). 87 Let h(g) = -10*g + 257. Determine h(25). 7 Let h(l) = -3*l**3 + 5*l**2 - 11*l + 4. Give h(3). -65 Let i(o) = -3*o**2 - 102*o + 85. Determine i(-35). -20 Let k(m) = 55*m**2 - 758*m - 6. Calculate k(14). 162 Let g(t) = 74*t - 60. Calculate g(3). 162 Let f(g) = -28*g + 603. Determine f(21). 15 Let t(y) = y**3 - 79*y**2 + 131*y - 10308. Determine t(79). 41 Let g(u) = -93*u - 1291. Calculate g(-14). 11 Let m(h) = -8*h**2 + 45*h + 68. Give m(6). 50 Let c(q) = -10*q**2 + 362*q - 3251. Determine c(17). 13 Let y(q) = 2*q**2 + 44*q - 98. Determine y(-23). -52 Let z(t) = -9*t**2 + 125*t - 222. Determine z(12). -18 Let z(v) = 44*v + 651. Give z(-18). -141 Let t(z) = -21*z**3 + 10*z**2 + 2*z - 7. Calculate t(-1). 22 Let m(r) = -r**3 - 30*r**2 - 142*r + 29. Calculate m(-24). -19 Let n(c) = -953*c + 30482. Calculate n(32). -14 Let k(x) = -14*x - 194. Determine k(-27). 184 Let b(j) = j**3 - j**2 - 38*j - 12. Determine b(7). 16 Let d(p) = p**2 + 47*p - 359. Calculate d(-58). 279 Let q(h) = 115*h + 1922. Determine q(-12). 542 Let h(s) = 16*s - 1. Calculate h(-3). -49 Let s(w) = -w**2 + 98*w + 1168. Determine s(-11). -31 Let f(s) = 4*s - 154. What is f(55)? 66 Let q(w) = w**3 + 26*w**2 + 54*w - 340. Give q(-23). 5 Let p(r) = r**3 + 111*r**2 + 1459*r + 1828. What is p(-96)? 4 Let p(k) = k**2 + 377*k + 2589. Give p(-7). -1 Let k(c) = 4*c**2 - 208*c - 207. Determine k(-1). 5 Let v(b) = b**3 + 10*b**2 - 75*b - 272. Give v(-14). -6 Let i(f) = -f**3 + 56*f**2 + 60*f - 137. What is i(57)? 34 Let r(i) = i**3 - 116*i**2 + 59*i + 6307. Give r(115). -133 Let h(n) = -n**3 + 25*n**2 + 45*n - 422. Give h(25). 703 Let d(a) = 25*a - 265. Give d(11). 10 Let p(w) = 64*w**2 + 8*w - 23. What is p(-4)? 969 Let m(x) = -5*x + 23. Determine m(32). -137 Let n(s) = -8*s**3 + 39*s**2 + 7*s + 11. Calculate n(5). 21 Let d(z) = 16*z**2 - 446*z - 62. What is d(28)? -6 Let p(y) = 3*y**3 - 113*y**2 - 50*y + 463. Calculate p(38). 7 Let r(n) = 43*n + 5483. What is r(-128)? -21 Let s(q) = 3*q**3 - q**2 + 24*q - 84. Give s(3). 60 Let t(k) = k**2 + 15*k - 36. Give t(3). 18 Let p(i) = i**3 + 5*i**2 - 56*i + 11. Give p(-9). 191 Let o(q) = -1725*q - 13805. Determine o(-8). -5 Let w(g) = 4*g**3 - 80*g**2 + 18. Determine w(20). 18 Let h(i) = 9*i**2 - 2*i - 16. Give h(-1). -5 Let d(z) = 168*z + 1357. Give d(-8). 13 Let u(o) = 182*o + 9. Calculate u(1). 191 Let p(g) = -g**2 + 99*g - 2028. What is p(70)? 2 Let w(y) = y**3 + 99*y**2 - 199*y + 308. Give w(-101). 5 Let b(d) = d**2 - 32*d - 324. Give b(41). 45 Let z(h) = -13*h - 6. Calculate z(-9). 111 Let t(v) = -836*v - 4222. Give t(-5). -42 Let d(m) = 7*m**2 - 263*m - 33. What is d(37)? -181 Let h(u) = -2*u**3 + 6*u**2 + 27*u + 60. Calculate h(6). 6 Let t(w) = w**2 + 16*w + 1. Calculate t(-4). -47 Let m(p) = 20*p**2 - 741*p + 31. Calculate m(37). -6 Let x(w) = 55*w + 750. Give x(-27). -735 Let v(i) = 9614*i - 259576. Calculate v(27). 2 Let v(g) = -2735*g - 8186. What is v(-3)? 19 Let p(g) = -g**2 + 20*g + 1121. Calculate p(45). -4 Let x(k) = 2*k**2 - 355*k - 7466. Calculate x(-19). 1 Let b(f) = f - 65. Determine b(-13). -78 Let n(i) = -7*i**2 - 1038*i - 2344. Give n(-146). -8 Let s(v) = v**3 - 74*v**2 - 217*v - 1080. Give s(77). -2 Let t(f) = -12*f - 260. Give t(-21). -8 Let o(i) = -4138*i + 120012. What is o(29)? 10 Let m(c) = 218*c + 870. Give m(-4). -2 Let z(f) = -386*f - 1930. Calculate z(-5). 0 Let w(z) = -11*z**2 - 35*z + 11. What is w(-2)? 37 Let n(s) = 4*s**2 - 123*s + 919. Determine n(18). 1 Let j(v) = 2*v**3 + 116*v**2 + 433*v + 51. What is j(-54)? -3 Let k(l) = 525*l + 2635. What is k(-5)? 10 Let i(k) = 4*k**3 - 249*k**2 + 20*k + 2612. Determine i(62). 8 Let f(p) = p**3 + 8*p**2 - 20*p - 56. Determine f(-4). 88 Let q(z) = -2*z**3 + 130*z**2 - 129*z + 38. Give q(64). -26 Let m(w) = -2*w**3 + 31*w**2 - 100*w + 7. Give m(5). 32 Let y(z) = -z**2 + 16*z - 110. Determine y(14). -82 Let f(s) = -89*s - 193. What is f(-2)? -15 Let q(t) = -542*t + 12467. What is q(23)? 1 Let w(h) = 9*h**2 + 84*h - 12. Give w(-9). -39 Let z(n) = -10*n**3 + 1089*n**2 + 107*n + 205. Give z(109). -13 Let m(q) = -q**3 + 24*q**2 - 40*q + 2. Give m(22). 90 Let m(d) = -3*d**2 + 44*d - 173. Give m(7). -12 Let j(g) = -11*g - 278. Calculate j(-10). -168 Let d(v) = -4*v**2 + 366*v - 4087. Give d(13). -5 Let k(n) = 15*n**2 + 300*n - 7. Determine k(-21). 308 Let r(z) = -z**3 - 58*z**2 - 757*z + 94. Give r(-38). -20 Let y(s) = -61*s - 5598. Determine y(-90). -108 Let m(o) = o**2 - 12*o - 125. Calculate m(32). 515 Let a(r) = r - 1. Calculate a(-7). -8 Let s(v) = -v**3 - 93*v**2 - 2*v + 297. What is s(-93)? 483 Let i(y) = y**2 - 38*y + 87. What is i(5)? -78 Let b(l) = -42*l - 1927. Calculate b(-46). 5 Let x(h) = 60*h - 583. What is x(9)? -43 Let h(r) = r**3 + 64*r**2 + 545*r + 274. Calculate h(-54). 4 Let d(o) = -o**3 + 6*o**2 + 44*o - 68. What is d(10)? -28 Let x(t) = t**3 + 25*t**2 - 38*t - 952. Give x(-25). -2 Let n(z) = -11*z**2 - 163*z - 779. Give n(-5). -239 Let g(k) = 5*k**2 - 529*k + 2931. Calculate g(100). 31 Let z(g) = 214*g - 658. What is z(3)? -16 Let d(o) = 20*o**2 - 243*o + 120. Give d(12). 84 Let h(v) = -3*v**2 + 83*v + 233. What is h(30)? 23 Let m(s) = 159*s + 1907. Determine m(-12). -1 Let g(a) = -a**3 - 22*a**2 - 80*a - 1224. What is g(-21)? 15 Let l(a) = 2014*a + 38267. Give l(-19). 1 Let f(l) = -l**3 - 28*l**2 + 67*l + 35. Give f(-30). -175 Let s(d) = -4*d**2 - 70*d + 17. Determine s(-27). -1009 Let n(w) = 5*w**2 - 11*w + 46. What is n(5)? 116 Let n(f) = -f**3 + 12*f - 39. What is n(6)? -183 Let h(t) = -t**2 - 26*t - 94. Determine h(-4). -6 Let c(n) = -n**3 - 43*n**2 - 44*n - 49. What is c(-42)? 35 Let d(m) = m**2 + 16*m + 38. Calculate d(-10). -22 Let d(w) = 5*w**3 + 12*w**2 + 13*w + 8. What is d(-1)? 2 Let o(a) = 47*a + 2900. Give o(-62). -14 Let d(l) = 12*l**3 - 110*l - 110. What is d(-1)? -12 Let a(b) = -b**3 + 17*b**2 - 34*b - 113. Calculate a(14). -1 Let f(s) = s**3 - 6*s**2 - 74*s + 428. Give f(7). -41 Let q(v) = 2*v**3 + 17*v**2 - 105*v + 38. Give q(4). 18 Let q(w) = w**3 - 52*w**2 + 49*w + 80. Calculate q(51). -22 Let f(d) = -442*d - 2317. Give f(-5). -107 Let t(u) = -34*u + 46. Calculate t(7). -192 Let y(f) = -37*f**2 + 4*f - 2. Give y(1). -35 Let q(s) = -s**3 + s**2 + 12*s + 26. Determine q(6). -82 Let q(i) = -2*i**3 + 11*i**2 - 21*i + 77. Determine q(5). -3 Let w(n) = 2*n**2 + 1147*n - 12852. Calculate w(11). 7 Let w(g) = -151*g - 139. Give w(-1). 12 Let z(v) = -755*v - 19632. Calculate z(-26). -2 Let g(u) = -7*u**3 + u**2 - 3*u - 18. Calculate g(-2). 48 Let g(k) = k**3 - 18*k**2 - 25*k - 290. Determine g(20). 10 Let t(m) = -31*m + 12. Calculate t(3). -81 Let j(t) = 4*t**2 + 56*t - 237. What is j(5)? 143 Let o(t) = -65*t - 2825. What is o(-42)? -95 Let d(p) = p**2 + 360*p + 1424. Give d(-4). 0 Let c(r) = -r**2 - 31*r - 25. What is c(-8)? 159 Let c(b) = -17*b - 7. Determine c(-1). 10 Let q(f) = 28*f - 2261. What is q(81)? 7 Let x(d) = -d**3 + 11*d**2 + 242*d + 15. Give x(-11). 15 Let f(v) = -9*v**3 - 2*v**2 + v - 4. Calculate f(2). -82 Let r(v) = -4*v**3 + 16*v**2 + 14*v + 28. Determine r(5). -2 Let c(n) = -71*n - 267. Determine c(-7). 230 Let i(o) = -2*o**3 - 20*o**2
{ "pile_set_name": "DM Mathematics" }
ve of i(o) wrt o. -19188*o**2 Let p(y) = -4*y - 3. Let m(x) = 4079*x + 851. Let u(l) = -m(l) - 4*p(l). Differentiate u(o) wrt o. -4063 Let p be 2/(-5) - 12/(-5). Let r(n) = -3*n**3 + 2*n**2 + 36*n + 63. Let f be r(-2). Find the third derivative of 6*o**6 + 449 + f*o**p - 449 wrt o. 720*o**3 Let k be 10 + -11 - 4*(-3 + 2). Find the second derivative of -2*o - 2*o**k - 6*o**2 + 65 - 61 + o wrt o. -12*o - 12 Suppose 7*i - 18 = 10. Let l be 3*((3 - i/(-6)) + -3). Differentiate 8 + 4 + 10*p**l - 2 - 7*p**2 with respect to p. 6*p Let q(d) be the first derivative of -189*d**3 - 699*d**2 + 667. Find the second derivative of q(r) wrt r. -1134 Differentiate -103 + 45*q - 529 - 949 - 905*q - 418*q with respect to q. -1278 Find the second derivative of -92*d + 11 - 18 + 6 - 727*d**2 + 47*d wrt d. -1454 Let w(p) be the third derivative of 2553*p**6/40 + 5*p**4/24 - 255*p**3/2 + 7*p**2 + 97*p. What is the second derivative of w(q) wrt q? 45954*q Let q(s) = -47147*s**3 - 3250*s**2 - s - 4. Let j(a) = -9429*a**3 - 654*a**2 - 1. Let v(f) = -11*j(f) + 2*q(f). What is the third derivative of v(g) wrt g? 56550 Let s be (-7)/(-21) - 17/(-3) - 3. What is the first derivative of 7*w - 3 + 85 - 6*w - 28*w**3 - 20*w**s wrt w? -144*w**2 + 1 Let y(a) be the second derivative of 677*a**7/7 - 1705*a**4/6 + 1986*a. Find the third derivative of y(c) wrt c. 243720*c**2 Suppose -454*z = -460*z + 12. What is the third derivative of 47*s**2 - 2*s**6 - 4*s**5 + 4*s**2 - 8*s**z wrt s? -240*s**3 - 240*s**2 Let s(c) = -16*c**2 + 121. Let t(d) be the third derivative of 7*d**5/30 - 61*d**3/3 - 176*d**2. Let p(j) = 3*s(j) + 2*t(j). Differentiate p(u) wrt u. -40*u Let l(o) = -70*o**2 - 2*o - 2029. Let y(g) = 71*g**2 + 2*g + 2017. Let v(r) = 4*l(r) + 3*y(r). Differentiate v(m) wrt m. -134*m - 2 Let t(m) be the third derivative of -18*m**2 + m - 1/24*m**4 + 0 + 7/6*m**3 + 1/15*m**5 + 1/60*m**6. Find the second derivative of t(d) wrt d. 12*d + 8 What is the second derivative of 8 + 30*i - 1433*i**3 + 1433*i**3 + 797*i**5 wrt i? 15940*i**3 Let v(x) = -2*x - 1. Let r be v(0). Let y be (135/(-9))/((-2)/4 + r). Differentiate y*z + 2*z + 17*z + 20 + 4*z with respect to z. 33 Let a(v) be the second derivative of 3545*v**7/42 + 127*v**3/3 + 13*v**2 - 14722*v. Find the second derivative of a(y) wrt y. 70900*y**3 Let k(u) = -30 + 2*u**2 - 72*u + u**3 + 56*u - 7. Let j(t) = t**3 + 3*t**2 - 16*t - 36. Let b(y) = 2*j(y) - 3*k(y). What is the first derivative of b(v) wrt v? -3*v**2 + 16 Let b(s) = 50*s**2 - 9*s + 3. Let q(m) be the second derivative of m**2/2 + m - 8. Let g(x) = b(x) - 4*q(x). Find the second derivative of g(f) wrt f. 100 What is the first derivative of -17*g**3 - 11*g**2 - 95 - 3*g**3 - 35 - 5*g**3 wrt g? -75*g**2 - 22*g Let c(l) be the first derivative of -2013*l**2 - 24*l - 26*l + 1 + 2004*l**2. What is the first derivative of c(m) wrt m? -18 Let a(j) = 216*j**4 + 5*j**3 + 385. Let i(u) = 107*u**4 + 3*u**3 + 193. Let b(h) = -3*a(h) + 5*i(h). What is the derivative of b(p) wrt p? -452*p**3 Let n be (2/2)/((-59)/(-9499)). What is the third derivative of -4*a + n*a**6 + 15648*a**2 - 3*a - 15640*a**2 wrt a? 19320*a**3 Suppose -54 = -52*l + 25*l. Differentiate 154 + 87*f**l - 2*f**3 + 86*f**2 + 0*f**3 - 187*f**2 wrt f. -6*f**2 - 28*f Let d(a) be the second derivative of -a**5/60 - 3*a**4/4 - 13*a**3/3 + 22*a**2 - 38*a. Let y(f) be the first derivative of d(f). Differentiate y(v) wrt v. -2*v - 18 Let x(w) be the first derivative of 4*w**5 + 29*w**4/4 + 4*w**3/3 - 66*w**2 - 1378. Find the third derivative of x(h) wrt h. 480*h + 174 Let y be 2 + 2 + 0 - -2. Let m be (y + 0)*(-2)/(-3). What is the third derivative of -13*c**2 - 434 + 434 + 13*c**m wrt c? 312*c Find the third derivative of 5*u**4 - 21*u**4 - 2*u - 410*u**2 + 22091 - 22089 + 2*u + 101*u**3 wrt u. -384*u + 606 Let f be ((64/(-6))/4)/(3/(-18)). Let y(s) = 4*s - 44. Let x be y(f). Find the third derivative of -l**3 + 25*l**2 + l**3 - l**2 - x*l**5 wrt l. -1200*l**2 Let f(s) = s**3 + 5*s**2 - 11*s - 10. Let d be f(-8). Let k = d + 118. Find the third derivative of 32*c**2 - 21*c**k + 63*c**4 - 19*c**4 - 1 - 14*c**4 wrt c. 216*c Let a be -9 - -3 - -60*(2 + 0). Find the first derivative of 219*s - 121*s**2 - 56 - a*s - 105*s wrt s. -242*s Let q = 323 - 77. Find the second derivative of -m - 249*m**3 - 1 + q*m**3 - 2 wrt m. -18*m What is the third derivative of -26*m**2 + 876*m**3 + 11*m**2 + 17*m**2 + 1559*m**3 - 625*m - 918*m wrt m? 14610 Let c(w) be the first derivative of -318 + 138*w - 291/2*w**2. What is the first derivative of c(z) wrt z? -291 Find the second derivative of -55*t + 110*t - 2*t**2 - 672 - 625 - 2474*t**4 + 66 - 54*t wrt t. -29688*t**2 - 4 Let n(p) = -3641*p**3 + 23*p**2 - 17*p + 403. Let r(f) = -1213*f**3 + 8*f**2 - 6*f + 135. Let a(k) = -6*n(k) + 17*r(k). Find the third derivative of a(s) wrt s. 7350 Suppose 0 = -4*s + 3*b + 4, 3 = 5*s + b - 21. Find the third derivative of -14*v**s + 42*v**2 + 22*v**2 + 0*v**3 - 3*v**3 + 6*v**2 wrt v. -336*v - 18 Let n be 1/((-3)/(-48)*2). Let k be ((-119)/(-28) - (-6)/n) + -3. What is the third derivative of 13*q**2 - 11*q**2 - 19*q**k + 8*q**5 wrt q? 480*q**2 Let j(g) be the third derivative of 3*g**2 - 3/20*g**5 + 0*g**4 - 7*g + 0 - 1/6*g**3 + 83/120*g**6. Find the third derivative of j(x) wrt x. 498 Suppose 94*o - 25*o = 138. Suppose 0 = 2*r - 12 + 2. Find the third derivative of 2*d**2 + 2*d**2 - 3*d**5 - o*d**r - 9*d**5 wrt d. -840*d**2 Suppose 123*i - 106*i = 425. Find the second derivative of 37*k**4 - 1 - 14*k + i*k + 48*k - 5*k wrt k. 444*k**2 Suppose -2*a + 5*h - 10 = -0*h, -4*h = a - 8. Suppose a*n = 2*p + n - 6, 5*p - 3*n - 15 = 0. Find the second derivative of -i + 0 + 15*i**p + 0 + 17*i wrt i. 90*i Let m(q) = -545*q**2 + 4*q + 2931. Let t(v) = 522*v**2 - 3*v - 2931. Let s(k) = 3*m(k) + 4*t(k). What is the derivative of s(u) wrt u? 906*u Let l(g) be the second derivative of -g**8/28 - 169*g**6/30 + 179*g**4/3 - 502*g. Find the third derivative of l(j) wrt j. -240*j**3 - 4056*j Let r(t) = 11*t**4 - 5*t**3 - 1007*t + 5. Let k(w) = -w**3 - w + 1. Let i(s) = -5*k(s) + r(s). What is the second derivative of i(p) wrt p? 132*p**2 What is the second derivative of -291*h - 2108 - 2103 - 436*h + 2977*h**2 + 4212 wrt h? 5954 Find the first derivative of -3*i**3 - 248*i**2 + 1832 + 3*i**3 + 93806*i**4 - 93809*i**4 wrt i. -12*i**3 - 496*i Let b(r) = r - 2. Let q(y) = y + 6. Let t be q(8). Let g be b(t). What is the first derivative of -2 - g*o**4 - 4 - 6*o**4 wrt o? -72*o**3 Suppose -29 + 31 = c. Find the first derivative of -3*u**2 + 18 - 2*u + 3*u**c + 14 + 66*u**3 wrt u. 198*u**2 - 2 Let f(g) be the third derivative of 1667*g**7/210 + 35*g**4/3 + g**3/6 + 438*g**2. What is the second derivative of f(t) wrt t? 20004*t**2 What is the second derivative of -161*i + 15 - 1555*i**5 - 162*i + 169*i**5 + 308*i wrt i? -27720*i**3 Let p(u) = u**4 + 2*u**3 - u + 1. Let z(m) = 540*m**4 + 12*m**3 + 1134*m**2 - 6*m + 6. Let b(d) = 6*p(d) - z(d). Find the third derivative of b(r) wrt r. -12816*r What is the third derivative of -3938*p - 3804*p**2 - 264*p**3 + 3938*p wrt p? -1584 Let m(w) = -w**3 - 18*w**2 - 2*w - 8. Let h be 27*5/30*-4. Let s be m(h). Find the first derivative of 6*z**4 - 5 + s + 26*z**4 wrt z. 128*z**3 Let w(y) be the second derivative of -2818*y**5/5 + 1313*y**2/2 - 5866*y. What is the first derivative of w(g) wrt g? -33816*g**2 Find the third derivative of 457*z**4 - 1 + 1013*z**4 + 1576*z**4 + 962*z**4 - 1520*z**2 wrt z. 96192*z Find the third derivative of 65*u**4 - 25*u**6 - 5724*u**3 + 15*u**4 - 3038*u**2 + 5724*u**3 wrt u. -3000*u**3 + 1920*u Let o(g) = 3461*g - 8367. Let p(n) = 2306*n - 5580. Let f(y) = 5*o(y) - 8*p(y). Differentiate f(b) wrt b. -1143 Suppose -911 = -15*h + 289. Find the third derivative of -b**3 + 106*b**2 + h*b**4 + 0*b**3 - 24*b**2 wrt b. 1920*b - 6 Let o be ((1 - -10)*1)/1. Let t(y) = y**2 - 7*y - 10. Let k be t(o). Find the second derivative of -5 + 12*d - k*d**3 + 15*d**3 + 5 wrt d. -114*d Let v be 0 + 4 + ((-10)/5 - -1). Differentiate -2*n**2 + 89*n - 2*n**4 - v*n**2 - 45 - 89*n wrt n. -8*n**3 - 10*n Let b be (-4)/(-9)*(-270)/(-60). Find the second derivative of -94*d**2 + 3*d**2 + 15*d + 11*d**b - 2 + 7 - 6*d wrt d. -160 Let x(a)
{ "pile_set_name": "DM Mathematics" }
= -t**2 - 5*t - 10. Let z be u(-3). Let d(a) = -a**2 - 3*a. Let w be d(-2). Let y(i) = -3*i**w - i**3 + 5 - 2 + 3*i - 1. Calculate y(z). 6 Let v(j) = -j - 4. Let z be 10/(-3 + 1) - -2. Let t be v(z). Let c(k) = 0*k - 2*k + k - 9*k**2. Calculate c(t). -8 Let w(r) be the third derivative of r**5/60 - r**4/3 + 4*r**3/3 + 2*r**2. Let u be w(7). Let s(m) = 2*m**2 + 2*m**2 - u + 4*m**2 - m. What is s(-1)? 8 Let x(r) = r**2 + 3*r. Let h be (-3)/(-2 - (-9)/3). What is x(h)? 0 Let t(w) be the first derivative of -w**3/3 - 4*w - 1. Let j be (8/2)/(7 - 6). Suppose -12 = 3*s + j*b, s - b + 3 = 6. Give t(s). -4 Let m(v) = v - 6. Let r be m(6). Let j(u) be the first derivative of u - 2 + 0*u**2 + 1/4*u**4 - 1/3*u**3. Give j(r). 1 Let j(c) be the second derivative of -c**6/720 - c**5/120 + c**4/6 + 4*c. Let o(k) be the third derivative of j(k). What is o(-6)? 5 Let v be 12/(-20) + 56/10. Let z(j) = j - 4. Let a(q) = -q + 4. Let p(s) = v*z(s) + 4*a(s). Calculate p(6). 2 Let r(l) = -2*l**2 + 8*l - 5. Let s(b) = -b**2 + b - 1. Let x(u) = -r(u) + 3*s(u). Suppose -20 = -4*q, -4*w + 1 = q - 0. Let f = w - 2. Determine x(f). 8 Let l(w) = -w - 2. Suppose 0 = 5*n + 2*m + 2*m - 13, 0 = 4*n - 5*m - 35. Let z be (-3 + 5 + -1)*2. Let p = z - n. Give l(p). 1 Let u(m) = m**2 - m - 6. Let v be -2 + 1 - (4 + -7). Suppose 0 = b - v*b. Determine u(b). -6 Let r(k) = -3*k**2 + 26*k + 14. Let m(p) = p**2 - 9*p - 5. Let y(z) = 17*m(z) + 6*r(z). Suppose -4*x + 15 = -a, -4*x - a + 6 = a. Give y(x). -1 Let b = 3 - 2. Let v(k) = 10*k - k**2 - 17*k + b + 6*k. Determine v(2). -5 Let o = 6 - 2. Suppose 0 = -o*c + c. Let r(g) = 2*g**2 + c + 3*g - 2*g - 1. Give r(-2). 5 Let m(l) = l**2 + 11*l - 6. Let i be m(-11). Let y(k) = -4*k + 11. Let d(o) = -o + 1. Let x(v) = i*d(v) + y(v). Determine x(-4). -3 Suppose 11*h - 8*h - 9 = 0. Let y(m) = m - 2*m**h - 1 - m - m + 0. Give y(-1). 2 Let c = -1 + 2. Let u(n) = -4*n + 2*n + 3*n + 8*n**2. Give u(c). 9 Let g(w) = -w - 12. Let m be g(-8). Let x(u) = -4*u**2 - 5*u + 6. Let l(t) = 3*t**2 + 5*t - 6. Let z(i) = m*x(i) - 5*l(i). Calculate z(5). 6 Let u(j) = -5*j**2 + 5*j - 7. Let g(l) = 6*l**2 - 5*l + 8. Let q(k) = -3*g(k) - 4*u(k). Suppose 5*o = -a, -3*o - 2 = a - 0*a. Let i = -2 - a. Determine q(i). 7 Suppose 5*a - s + 0*s - 3 = 0, -5*a = -5*s - 15. Let q = a + 1. Let k(d) = 8*d. What is k(q)? 8 Let g be (-4)/(-12)*3*-4. Let w(d) = -3*d + 5. Let l(h) = h - 1. Let n(z) = -4*l(z) - w(z). Calculate n(g). 3 Suppose 2*m - 5*m + 34 = l, -4*m - 3*l = -52. Let v(r) = r**3 - 9*r**2 - 11*r + 13. Calculate v(m). 3 Suppose 3*a = 2*l + 26, -2*a + 7*a - 14 = -4*l. Suppose -3*o + o = a. Let z(u) = -u**3 - 4*u**2 - 3*u - 3. Determine z(o). -3 Let v(o) be the first derivative of -o**2 - 9*o + 4. Calculate v(-6). 3 Let h(w) = -5*w + 3 - 4 + 3*w. Suppose -5*a - 6 = 5*b - 1, 4*a + 28 = 4*b. Suppose -10 = -b*n + 5*n. Calculate h(n). 9 Suppose -105 = -2*a - 3*a. Suppose 3*d + a = 6. Let l(q) = q**2 + 6*q - 3. Determine l(d). -8 Let y(u) be the first derivative of u**3 + u**2/2 - 2. Let s be y(1). Let a(g) = 3 - 2*g - 1 - 1. Calculate a(s). -7 Let w(x) be the third derivative of 0*x**3 + 0 + 1/12*x**4 + 0*x + 2*x**2 - 1/60*x**6 + 1/60*x**5. What is w(2)? -8 Let b(r) = 4*r**3 + r**2 + 2*r + 1. Suppose 3*j = c + 4*c + 8, 4*j - c - 5 = 0. Let k = j + -2. Calculate b(k). -4 Let c(v) be the second derivative of 5/2*v**2 + 0 + 1/3*v**4 + 1/20*v**5 + 0*v**3 + v. Calculate c(-4). 5 Let x(w) be the second derivative of w**5/5 - w**3/3 - w**2/2 - 3*w. Let i = 2 + 2. Suppose 0 = -4*q + 2*o - 12, -3*o = i*q + o - 12. Calculate x(q). -3 Let i(b) = b. Let s(g) = g**2 + 7*g - 4. Let u be s(-4). Let n = u - -22. Give i(n). 6 Let a(j) = -j**2 + j - 6. Let d(y) = y**2 - y - 2. Let o be 3/((-21)/(-6) + -2). Let k be d(o). Suppose 4*p - 5*n = 15, 0 = -2*p + 2*n - k*n + 6. What is a(p)? -6 Let d be ((-6)/5)/(3/(-10)). Suppose 2*u = d*u + 4. Let y = -4 - u. Let g(l) = -l**3 - 2*l**2 + 2*l + 2. Calculate g(y). -2 Let u(n) = 5 + 0 - n - n + 3*n. Give u(-6). -1 Let k be (10/4)/((-2)/4). Suppose -4*r - 4*c = 12, 3*c + 2 = 4*r - 21. Let i(v) = v**2 + r - v**2 - v**2 - 5*v + 0*v**2. Calculate i(k). 2 Let o = 12 - 35. Let h = 17 + o. Let q(w) = w**3 + 6*w**2 - w + 6. Give q(h). 12 Suppose 3*v = 2*v. Let n(f) = -f**2 - f + 7. Let m(a) = 3*a**2 + 2*a - 14. Let i(j) = -2*m(j) - 5*n(j). Give i(v). -7 Let f(h) = -13*h - 21. Let s(x) = 7*x + 11. Let b = -28 - -22. Let n(v) = b*f(v) - 11*s(v). What is n(-4)? 1 Let y(x) = -6*x + 1. Let f be y(-1). Let s = 3 - f. Let w(c) = 3*c + 4*c**3 - 3*c**2 - 4*c**3 - c**3 - 1. What is w(s)? 3 Let u(y) be the second derivative of -y**7/2520 + 7*y**6/720 - y**5/24 - y**4/3 - 6*y. Let s(h) be the third derivative of u(h). What is s(5)? 5 Let m(q) be the second derivative of q**4/12 + 7*q**3/6 + q**2/2 - q. Give m(-6). -5 Let b = -12 + 19. Let j(i) = -i**3 + 7*i**2 + i - 7. Let r be j(b). Let s(y) = y - 1. Let p(q) = q - 2. Let k(h) = -4*p(h) + 3*s(h). Calculate k(r). 5 Let d(l) be the second derivative of 2*l**3/3 + l**2/2 + 4*l. Calculate d(2). 9 Let x(n) = -10*n - 10*n + 19*n. Determine x(5). -5 Suppose 0 = -2*m - 5 - 17. Let q = m + 16. Let k(o) = 0 - 1 + 4*o - q*o. What is k(-2)? 1 Let b(x) = -x**2 + 4*x. Suppose 0 = -4*s + 4 + 8. Let o = -2 + s. Suppose 0 = -2*y + 5 + o. What is b(y)? 3 Let x(s) = 7*s**2 + s + 1 - s**2 + 14*s**2. Calculate x(-1). 20 Let n(w) = -1. Suppose 1 = -3*x - 20. Let o = x - -11. Let h(t) = 2*t. Let c(s) = o*n(s) - h(s). Calculate c(-3). 2 Let f(t) = 6*t - 6*t - t - 2. Give f(5). -7 Let j(k) = k**3 - 12*k**2 - k + 8. Let p be j(12). Let y(w) = 2*w + 3. Let v be y(p). Let o(h) = -h**2 - 5*h - 1. Give o(v). -1 Suppose 2*y + 2*y - 8 = 0. Let r(n) = -5*n + 4 - y + 0 + 3*n. Calculate r(-2). 6 Let j(o) be the second derivative of -o**4/12 - 7*o**3/6 - 5*o**2/2 - 8*o. Determine j(-4). 7 Let y(g) be the first derivative of 3*g**2/2 - 1. Give y(5). 15 Let o(c) = 6*c - 7. Let q(h) = -h - 1. Let g(u) = -o(u) - 5*q(u). Determine g(6). 6 Let a be 2/((-3)/((-42)/4)). Let q(x) = x**3 - 4*x**2 + 2*x**3 - 2*x**3 - a*x + 3 + 0*x**3. Give q(5). -7 Let l(s) = s**2 - 4*s + 4. Let r(m) = 4*m**2 - 3*m + 3. Let u be r(1). Determine l(u). 4 Let y(l) = l**2 + l + 2. Suppose -2*x + 0*t + 5*t - 1 = 0, 3*x + t = -10. What is y(x)? 8 Suppose -5*u + 8 = -b, -2*u - b = -0 - 6. Let x(t) = -3 + u + t - 2. Suppose 2*z = -0*z + 8. Calculate x(z). 1 Let h be 0 + 0 + 2 - 2. Suppose -g + 8 = 3*g. Let q(d) = -d - g*d + 4*d. What is q(h)? 0 Let r be ((-28)/(-12) - 1)/((-2)/(-3)). Let w(h) = h**3 + h**2 + 3*h - 3. Determine w(r). 15 Let k(r) = -r**2 + 3*r + 7. Suppose 2*h + 4*c - 1 + 5 = 0, 4*c + 8 = 0. Let y = 3 + h. What is k(y)? -3 Suppose 4*m - 8*m = 8. Let o(p) be the second derivative of -p**3/6 - p**2 - 2*p. Determine o(m). 0 Let z(b) = 5*b**3 - 2*b**2 + 7*b + 7. Let r(q) = -4*q + 4*q**3 - 4 - 5*q**3 - 2*q**3 - 6*q**2 + 7*q**2. Let v(y) = -7*r(y) - 4*z(y). Determine v(-2). -4 Let b(l) = l**3 + 4*l**2 - 4. Let u be b(-3). Suppose -14 = -4*o - 3*s, u*s = -2*o + s + 12. Let w(y) = 2 + 3 - y - o. What is w(3)? 0 Let n(c) = c**2 - 4*c + 1. Let t(j) = -j**2 - 7*j + 4. Let b be t(-7). Determine n(b). 1 Suppose 5*y + 2*b - 61 = 0, -3*y + 31 = -y + 3*b. Let k(w) = -w**2 - 10*w - 16. Let p(z) = -2*z - 3. Let s(t) = y*p(t) - 2*k(t). What is s(-2)? 11 Let k(m) = 16*m + 1. Let j be 4/(-18) + -1 + 26/117. Calculate k(j). -15 Let j(h) = -5*h**3 - 11*h**2 - h + 7. Let d(a) = 6*a**3 + 12*a**2 - 8. Let l(t) = -6*d(t) - 7*j(t). Let w = -9 + 15. Calculate l(w). 5 Suppose 0 = -t - t - 8. Let y be (1*-8)/(t/2). Let g(d) = -y + 4 + 1 - 7*d. What is g(1)? -6 Suppose -3*g - 4*o = -10, -2*g - 3*o = 2*o - 2. Let w be (-14)/(-3) + 2/g. Let i(d) = 17 + 19 + 4*d - d**2 - 32. Calculate i(w). -1 Let j be 0 + 0 + (-1 - -3). Let i(q) = j - 3*q + 2*q + q**2 - q. Suppose 0*w + w = 2. Determine i(w). 2 Let n(r) = r**3 - 5*r**2 - 5*r - 1. Let j = 15 - 11. Let s(d) = 4*d - 10. Let q be s(j). Determine n(q). 5 Let u(z) = -18*z**3 + 3*z + 3*z**2 + 17*z**3 - 7*z**2 - 4*z. Calculate u(-3). -6 Let z(c) = 2*c + 0*c - 5*c + 4*c. Suppose 0 = -3*x - 5*i - 20, -8 = x + 5*i + 12. Suppose 0*y + y - 6 = x. Calculate z(y). 6 Let x(o) = o**3 - 6*o**2 - 9*o - 3. Let u(k) = 2*k**3 - 6*k**2 - 10*k - 2. Let z(w) = -2*u(w) + 3*x(w).
{ "pile_set_name": "DM Mathematics" }
rest ten? 240 Let k be (18/(-15))/(4/(-10)) - 8340. Let y = k + 1337. Round y to the nearest 10000. -10000 Let r = -5.751 - -5.9. What is r rounded to 1 dp? 0.1 Let r be (-2 - (-26)/8)*(-35 - -38355). What is r rounded to the nearest one thousand? 48000 Let n = 0.094 - 108.094. Let l = 118.9 + n. Let m = 17 - l. Round m to the nearest integer. 6 Let r = -933 - -453. Let p = -479.9999471 - r. Round p to 5 dps. 0.00005 Suppose 2*v - 5 = 1. Suppose 105792 = 2*j + w - 5*w, 3*j - 158684 = 4*w. Suppose v*g - 9692 = -j. Round g to the nearest one thousand. -14000 Let g = 3622.14221 - 177186.09341. Let c = g - -173587.95119874. Let j = -24 + c. What is j rounded to seven decimal places? -0.0000013 Let i(n) = 9657*n**3 - 11*n**2 + 27*n - 1. Let q be i(7). Round q to the nearest one hundred thousand. 3300000 Let n be ((-46)/6)/((-3)/(-909)). Let m = 3927 + n. Suppose 4*t - 2*p = -m, -6*t + 2*t - 3*p - 1594 = 0. Round t to the nearest 100. -400 Let j = 111.617 + -112.1. Let n = -1.176 - j. What is n rounded to one decimal place? -0.7 Let s = -438275.60134 + 438272. Let u = 0.38 - 3.98. Let p = s - u. What is p rounded to 4 decimal places? -0.0013 Let a = 168 + 330. Round a to the nearest one hundred. 500 Let c = -555.857 + 3.157. Round c to the nearest ten. -550 Suppose -4*q + 4588 = p, -3*p + 4063 + 9675 = -q. Round p to the nearest 100. 4600 Let t = 1.826 - -835.174. Let u = 836.99239 - t. Round u to three dps. -0.008 Let q(i) be the second derivative of -i**3/6 - 3*i**2/2 - 2*i. Let p be q(-5). Suppose 3*x + p*y - 20591 = 4607, 2*y = -2. Round x to the nearest 1000. 8000 Let i(t) = -50126*t**3 + 4*t**2 - 13*t + 18. Let l be i(2). Round l to the nearest 100000. -400000 Let m = -2841.49509 - -2860.495. Let z = -39 + 20. Let a = m + z. What is a rounded to 4 dps? -0.0001 Let v(o) = 2*o + 5. Let l be v(-4). Let h be (2 + -2)*(l + 4). Suppose 4*m = -3*u + u + 5108, h = -u - 3*m + 2551. Round u to the nearest 100. 2600 Let j = 6148073813 + -6148320025.0023. Let h = -246198 - j. Let q = -14 + h. What is q rounded to 3 decimal places? 0.002 Let a = -0.1 + -1.9. Let t = 1.95 + a. Let u = t - -0.061. Round u to 2 decimal places. 0.01 Let v = -2512 + 2511.7134. Let r = v - -0.1563. Let z = -0.146 - r. What is z rounded to three decimal places? -0.016 Suppose 0 = -2*o + o, o = 4*h + 3312000. Round h to the nearest 100000. -800000 Suppose 12 - 2 = 2*j. Let v(n) = n**2 - 7*n - 8. Let l be v(8). Suppose j*g - 2941 - 459 = l. Round g to the nearest 100. 700 Let d = 2955 - 2954.6799932. Let v = 0.3 - 0.62. Let b = d + v. What is b rounded to six decimal places? 0.000007 Let i = 797.927 - 798. Round i to 2 decimal places. -0.07 Let p = -21.52 + 22. Let u = p - 0.08. Let v = u - 0.399952. What is v rounded to 5 dps? 0.00005 Let j = -3311 - -3372.49. What is j rounded to the nearest 10? 60 Let m = 33.24 + -30. Let l = -5.4 + m. What is l rounded to one decimal place? -2.2 Let v = -7.843 - -7.802031. Let k = 24 - 24.041. Let z = v - k. Round z to five dps. 0.00003 Let y = -8 - -8.06. Let i = 13.5 + -13. Let s = i + y. Round s to 1 decimal place. 0.6 Let r = -812 - -812.00586. Round r to four decimal places. 0.0059 Let y be 1/((-40)/45 - -1). Suppose y*c + 273000 = 2*c. Round c to the nearest ten thousand. -40000 Let f = -2.2 - -2.325. Let s = f + 3.575. What is s rounded to zero dps? 4 Suppose -3*d + 18503 = -7051. Suppose -d = -5*v - 47518. What is v rounded to the nearest one thousand? -8000 Let w = -25.5 + -5.5. Let h = -30.904 - w. What is h rounded to two decimal places? 0.1 Let z = -59 - -27. Let l = z + 32.131. Let m = l + -0.1310059. Round m to 6 decimal places. -0.000006 Let x = 3155008 - 5676008. Round x to the nearest one million. -3000000 Let d = -208713030 - -208713115.999823. Let i = d - 86. Round i to five decimal places. -0.00018 Suppose 0 = u + x, 5*x - 6 = u - 36. Suppose -34 = 3*g - u*g. Let c(z) = 38*z**2 + 8*z - 18. Let d be c(g). What is d rounded to the nearest one thousand? 11000 Let o = 653.43 + -613.0285. Let a = o + -41.261366. Let r = -0.86 - a. What is r rounded to 5 decimal places? -0.00013 Let d = -0.25 + 0.2529. Round d to 3 decimal places. 0.003 Let r = -1138 + -446. Let g = 1583.99999147 + r. Round g to 6 decimal places. -0.000009 Let i = -25 - -25.04. Let n = i - 12.94. Round n to 0 decimal places. -13 Let o = -2.219 - -4.116. What is o rounded to one dp? 1.9 Let j = -57 - -54. Let p be 1 + j/5 + 84896/10. What is p rounded to the nearest one thousand? 8000 Suppose -11*h = -13*h. Let p be h - -1*(-5 + 18005). What is p rounded to the nearest 10000? 20000 Let g = 14.23 - 14. Let r = -0.0112 - -0.3812. Let c = r + g. What is c rounded to 1 decimal place? 0.6 Let o(g) = g. Let w(c) = 2*c - 1. Let l(v) = -3*o(v) + 2*w(v). Let s be l(-4). What is s rounded to the nearest 10? -10 Let h = 16870.50063 + -16869.8. Let p = 0.7 - h. What is p rounded to four dps? -0.0006 Let n = 1.28 - 1.2974. Round n to two decimal places. -0.02 Let x = -17962304.8 + 126666562.8. Let u = 108704257.40000113 - x. Let f = -0.6 - u. What is f rounded to seven decimal places? -0.0000011 Let p(s) = -11310*s**2 - 47*s - 7. Let q be p(-11). What is q rounded to the nearest 100000? -1400000 Let p = 52.99998896 - 53. What is p rounded to 6 dps? -0.000011 Let q(j) = -2807*j + 14. Let u(c) = c. Let y(n) = q(n) + 2*u(n). Let v be y(-11). Let m = v - -19131. What is m rounded to the nearest 100000? 100000 Let l be ((-39808)/6)/((-44)/(-123750)). What is l rounded to the nearest 1000000? -19000000 Suppose 2*w = 6, 5*z + 0*z - 5*w = 3430. Suppose -501 = 2*t - 5*x, x + z = -3*t - 4*x. Let p = t - -91. What is p rounded to the nearest 10? -150 Suppose 94629 = 2*p + u - 15375, -5*u = 2*p - 110020. Suppose -p = -7*l + 6*l. Round l to the nearest 10000. 60000 Let q = -1508288690.29999843 + 1508288705. Let r = -4.17 - 10.53. Let a = r + q. Round a to seven dps. 0.0000016 Let u(a) = 432*a**3 + a**2 - 5*a. Let h = -38 - -21. Let x = -12 - h. Let r be u(x). Round r to the nearest 10000. 50000 Let c = -2.5 + 49.5. Let j = c + -47.031. Round j to two decimal places. -0.03 Suppose -5*m + 20 = 2*o, -7 = -0*m + 3*m + 5*o. Let l(k) = -1500002*k + 12. Let v be l(m). Round v to the nearest one million. -9000000 Let s(c) = -55*c**3 + 2*c**2 - 4*c + 4. Suppose 5*o + 0*o = 20. Suppose -o*l = -2 - 14. Let t be s(l). What is t rounded to the nearest 1000? -4000 Let d = -1729240 + 6539240. What is d rounded to the nearest one million? 5000000 Let f = -30 + 24. Let u = f + 6.235. What is u rounded to 2 decimal places? 0.24 Let l = 2847 - 2846.97582. What is l rounded to three decimal places? 0.024 Let l = -905 - -701.6. Let d = 149 + l. Let m = -61 - d. Round m to the nearest integer. -7 Let z = -16797044422 + 16797044148.00000137. Let p = 274 + z. Round p to 7 decimal places. 0.0000014 Let g = 5.32 - 5. Let d = 561.34 - 561. Let i = g - d. Round i to one decimal place. 0 Let w = -11.38 - -5.9. What is w rounded to the nearest integer? -5 Let i be (-1)/(4 + 6225/(-1555)). What is i rounded to the nearest one hundred? 300 Let k = -1940.8162 + 1945.0161983. Let w = -0.003 + -4.197. Let l = w + k. Round l to 6 dps. -0.000002 Let n = 2.44 + -1018.44. Let g = 1082.1 + n. What is g rounded to the nearest ten? 70 Let h = 307 + -306.99999955. Round h to seven decimal places. 0.0000005 Let d(b) = 13145*b + 15. Let w be d(10). Let u = 49913 - w. Let g = u - -27552. Round g to the nearest 10000. -50000 Let s = -0.102 + 0.266. Let y = 0.078 + -0.032. Let x = s + y. What is x rounded to two dps? 0.21 Let w = -1.2011462 + 0.4211236. Let t = 81.22 + -82. Let x = w - t. What is x rounded to 6 dps? -0.000023 Let q(v) = -v - 15. Let p be q(-19). Suppose -60232889 = p*r - 2305457. Let o = r - -6081858. What is o rounded to the nearest 1000000? -8000000 Let z = -15.5 + -7.9. Let v = z + 23.399819. What is v rounded to five dps? -0.00018 Suppose 2*r - 15 = -3*r. Suppose g + 3*s + 7 = 0, -22 = r*g - 2*s + 10. Let c(w) = 4500*w**2 + w + 10. Let q be c(g). Round q to the nearest 100000. 500000 Let s = 30.000668 + -30. What is s rounded to 4 dps? 0.0007 Suppose 5*i = 4*x + 391220, 0*x + 97788 = -x - 3*i. What is x rounded to the nearest ten thousand? -100000 Let c = 10796 - -20094. Let n = c - 72690. What is n rounded to t
{ "pile_set_name": "DM Mathematics" }
6*d. Suppose -2*f - m = 3*m - 28, -5*f - d*m = -45. Does 8 divide (-4)/3*(-8 - f)? True Let y = -1522 - -2780. Is 34 a factor of y? True Let s = -1527 - -1808. Is 3 a factor of s? False Suppose 3*t + 4 = -4*p + 4*t, -p + 5*t = 1. Let q(a) = -14*a. Let o be q(p). Suppose 3*h + 4*f = -h + 36, 2*h - o = 2*f. Is h a multiple of 8? True Let r be (-4)/(12/(-19))*3. Suppose -7*p + 292 = r. Is 19 a factor of p? False Suppose 0 = 24*h - 8*h - 5104. Does 11 divide h? True Let h = -32 - -74. Suppose 8*j - h = 2*j. Is 6 a factor of j? False Is 121 a factor of 5878/13 + 17/((-221)/2)? False Let j be (-3)/(-3*(2 - (-690)/(-346))). Let k = j - 124. Is k a multiple of 7? True Suppose 5*m + 15 = 0, -v - 2*v - m + 3 = 0. Suppose -2*w + 147 = -5*a + 4*a, 162 = v*w - 4*a. Does 14 divide w? False Let g be ((-39)/4)/((-8)/(-32)). Let m be 3*(g*3)/(-3). Is 7 a factor of 3258/m - 2/(-13)? True Is 144/((-20)/6*18/(-90)) a multiple of 18? True Suppose -5*i - 3 = 7. Let q be (i/6)/((-1)/(-57)). Is 5 a factor of 22 + -1 - (15 + q)? True Let c = 50 - 34. Suppose 1105 = c*i - 479. Is 39 a factor of i? False Let x = 2027 - 1649. Is 18 a factor of x? True Is ((-591)/4)/(6/(-8)) a multiple of 26? False Let m be (-5)/((-2 - -3)/1). Is (-1)/(m - -4) + 43 a multiple of 3? False Let b(p) be the third derivative of -1/3*p**3 + 4*p**2 + 5/24*p**4 + 1/30*p**5 + 0 + 0*p. Is b(-4) a multiple of 5? True Suppose 0 = t + 4, 4*i - 15 - 37 = 5*t. Is 2 + 0 + 1 - (-808)/i a multiple of 10? False Suppose -55*i + 29*i = -15028. Is 17 a factor of i? True Is 284/3*63/42 a multiple of 8? False Let l(k) = k**2 - 20*k - 32. Let w be l(23). Suppose w + 161 = 9*y. Is y a multiple of 22? True Suppose 0 = 9*a - 37 + 10. Suppose a*o - 4*m - 27 - 115 = 0, 0 = 4*o - m - 172. Does 14 divide o? True Let l(b) = -b**3 + 10*b**2 + 17*b - 36. Is l(11) a multiple of 3? True Let n be 3 - (-2 + (-3)/(-1) + -2). Suppose p - 5*p + n*j = -48, -j = -2*p + 21. Is p a multiple of 2? False Let v(u) = -u**3 - 9*u**2 - 8. Let o be v(-9). Is (3 - -3)/3 - o a multiple of 5? True Suppose 6014 = 5*u - 2*m - 4216, -4*m - 8184 = -4*u. Is u a multiple of 33? True Let l = -13 - -35. Let i = 17 + l. Is 14 a factor of i? False Let n = -25 + 13. Let v be n/(-3) + 3 + 129. Suppose -5*f + v = -f. Is 17 a factor of f? True Let g be ((-165)/10)/(1/(-4)). Suppose 18 = 4*u + g. Let q = 13 - u. Does 15 divide q? False Suppose 4*t + 4 = 0, -2*x = 6*t - 10*t - 1996. Does 12 divide x? True Suppose -2*p - 3*g = -5*p + 75, -62 = -2*p - 2*g. Let n = -1 + -3. Let z = n + p. Does 10 divide z? False Let m(x) = 408*x + 120. Is 8 a factor of m(3)? True Let r = 3310 - 1441. Is r a multiple of 10? False Is -1 + ((-3976)/42)/(2/(-3)) a multiple of 6? False Let q = -7 + 501. Does 26 divide q? True Let c(h) = h**3 - 5*h**2 - 16*h - 8. Let j be c(15). Suppose 19*l = 26*l - j. Is l a multiple of 22? True Suppose 2*b - 8 = 18. Let h(y) = y**2 - 14*y + 13. Let r be h(b). Suppose 5*t + r*t = 495. Is 33 a factor of t? True Suppose 5*j + 4*y + 16 = 1, 0 = 3*j - y + 9. Let d be (32/j)/((-11)/198). Suppose 6*r - d = 54. Does 6 divide r? False Suppose -10096 - 7977 = -5*h + 2*y, -4*y - 7226 = -2*h. Is 15 a factor of h? True Let v be 2192/(-14) + -1 + 40/70. Let p = -81 - v. Is 7 a factor of p? False Let y(x) = -x**2 - 5*x - 1. Suppose 0 = 4*q + 22 - 6. Let j be y(q). Suppose -3*t - j*b = -48, -2*t - b - 3*b = -22. Is 21 a factor of t? True Let z(v) = -22*v**2 + 2*v. Let s(w) = w**2 - 1. Let r(q) = -2*s(q) - 2*z(q). Is 10 a factor of r(1)? True Let z be (3 + 14/(-6))*3. Suppose 48 = z*x - 0*x + 4*c, 3*c + 120 = 5*x. Is 8 a factor of x? True Suppose 0 = 63*b - 13274 - 3043. Does 7 divide b? True Is 8 a factor of (121 - -1 - (0 + -3)) + 3? True Let p(v) = -88*v - 126. Is p(-10) a multiple of 48? False Let j be 207/(-46)*2/3. Let g(f) = f**2 + 2*f + 9. Does 12 divide g(j)? True Let k(q) = 6*q + 3. Let h be 3/(-2 + 1 + 0). Let j be k(h). Is (205/j)/(1/(-3)) a multiple of 8? False Let g be 6*((-2)/3 + 1). Let m(i) = 18 - 2*i - g*i + 3*i. Is 4 a factor of m(10)? True Let j(m) = -m**3 - 27*m**2 - 28*m + 67. Does 3 divide j(-26)? False Suppose -2*q = 2*q + 4, s - 3*q = 5. Suppose -s*i - 970 = -7*i. Suppose i = 3*u - 13. Is u a multiple of 23? True Suppose -f + 56 = 164. Let w = -89 - f. Is w a multiple of 19? True Let t be (2/4)/(2/40). Suppose 2*r - 36 = 5*a, r - t = 3*a + 10. Is (-61)/(-3) - r/(-12) a multiple of 14? False Let h(d) be the third derivative of d**5/60 + 5*d**4/24 - d**3/6 - 4*d**2. Let a be h(-7). Let y = 49 - a. Does 12 divide y? True Let l be 1/((-2 - -1)/355). Let h = l + 588. Suppose -5*x + 5*a + 137 + h = 0, -3*x - 5*a = -182. Is 23 a factor of x? True Let b(t) = 17 - t - 2*t + 6*t**3 - t**2 + t**3 + 8*t**2. Let r(f) = -10*f**3 - 11*f**2 + 4*f - 25. Let o(m) = -7*b(m) - 5*r(m). Does 7 divide o(-5)? False Let t(l) = 14*l**2 + 44*l + 203. Does 35 divide t(-6)? False Let x = 467 + -238. Does 21 divide x + 3*10/(-6)? False Does 25 divide 15*20*2/8? True Let a(i) = -i**3 - 19*i**2 - 5*i + 35. Let u(c) = -4*c**3 - 58*c**2 - 14*c + 105. Let o(p) = -7*a(p) + 2*u(p). Is 7 a factor of o(17)? True Suppose 10*h + 2*h = 5604. Is 50 a factor of h? False Let a(d) be the first derivative of d**3/3 + 6*d**2 + 16*d - 11. Let r be a(-11). Suppose g + 4*f = -12, r*g + 0*f + 2*f - 30 = 0. Is g a multiple of 2? True Suppose -5*w + 17 - 7 = 0. Suppose 2*a - 3*a - 1 = 0. Is 10 a factor of ((-1 - 73)/w)/a? False Let z = 276 + 388. Is 83 a factor of z? True Let y be 1 + 284 + -5 - 3. Suppose 0*h - u + y = h, -2*h - 3*u = -558. Is h a multiple of 21? True Suppose 2*c - c - 8 = -3*j, -24 = -3*c - 3*j. Is 7 a factor of c? False Suppose 5*l + 95 = f, -4*f = -6*f - 5*l + 250. Does 23 divide f? True Let z(d) = d**2 + 6*d - 7. Let q be z(4). Let h = q - 23. Is 10 a factor of h? True Let c(g) = -6*g**3 + 4*g**2 + 4*g - 2. Let y be 3/(-5)*(-10)/15*-5. Is 6 a factor of c(y)? True Suppose 2*t - 4*t + 6 = 0. Suppose -t*z - 12 = z. Does 8 divide -111*1*1/z? False Let w = 4 + -14. Let o = w + 36. Is 4 a factor of o? False Let a = -5 - -10. Suppose -a*j - 3*m = -292, 2*m + 220 = 4*j + m. Does 14 divide j? True Let k(q) = -q**3 - 4*q**2 + 12*q - 13. Let x be k(-7). Let r = x + -28. Is 9 a factor of r? False Let m(v) be the first derivative of v**3/3 + 9*v**2/2 - 7*v - 7. Is m(6) a multiple of 19? False Suppose -3*w + 2271 = -3*p, 5*p + 1119 = w + 358. Is w a multiple of 18? True Let x(k) = 2*k**2 + 8*k + 4. Let m be x(-4). Suppose 5*v - 4*r - 380 - 34 = 0, m*v = -2*r + 326. Does 12 divide v? False Let u = -62 - -68. Let k = 24 + u. Is 3 a factor of k? True Let z be (-39)/(-9) - 4/(-6). Suppose 0 = 2*p + 2*p - 3*m - 261, -z*m = -5. Is 13 a factor of p? False Let s be (-18)/30 - 4/10. Let q be 6 - (s - (2 - 4)). Suppose q*w - 52 = -12. Is w even? True Let g(w) = -9 - 3*w**3 - 4*w**2 + 9*w**3 - w - 7*w**3 - 7*w**2. Is g(-11) even? True Suppose 88 + 10 = t. Is 14 a factor of t? True Let y(n) = -n**3 - 9*n**2 + 23*n + 16. Let k be y(-11). Let p(d) = 18*d - 15. Is p(k) a multiple of 25? True Suppose 0 = 4*y - 195 - 273. Is 9 a factor of y? True Let z = 1593 - 4. Is 38 a factor of z? False Let a = 90 - 43. Is a a multiple of 9? False Let a = -103 - -311. Suppose 4*v + 12 = v, 0 = -4*p - 4*v + a. Does 8 divide p? True Suppose 2*v - 67 = -l - 13, -144 = -5*v + 2*l. Suppose 9*s - v = 8*s. Suppose s = 2*x - 4. Is x a multiple of 16? True Suppose -5 = 5*j - 2*c - 38, j + 3*c = -7. Suppose -3*s + 10 = 2*s. Suppose 3*d = -4*w + s*w + 67, 4*d + j*w = 101. Does 7 divide d? False Let o(f) = f + 1. Let g be o(2). Suppose 3*w + 0*w + 4*r = -31, 0 = -3*w + g*r - 45. Let d = w - -26. Is d a multiple of 4? False Suppose -w - 8 = -26. Does 7 divide w*4/(-18)*-3? False Let v be (1 - 8/12)*(-3)/1. Does 7 divide (v + -3 + 2)/(7/(-196))? True Let u(c) = -c + 5. Let w be u(4). Suppose -11 + w = -2*m. Suppose -2*p - 95 = -7*p - 5*g, 0 = -5*g - m. Is 18 a factor of p? False Suppose 0 = 6*l - 29 - 259. Is 5 a factor of l? False Let c(h) = -h**3 + 3*h**2 + 2*h - 3. Let b be c(3). Suppose 10 = 3*f - 5*l - 8, -24 = -4*f + 5*l. Suppose -j = -b - f. Is 2 a factor of j? False Let q = -41 + -7. Let b = 91 + q. Does 4 divide b/3 - (-6)/9? False Does 30 divide ((-8)/(-10))/((-52)/(-19370))? False Let s(c) = 74*c - 975. Is 4 a f
{ "pile_set_name": "DM Mathematics" }
.997. Let x = 2.303 - i. Which is smaller: -1/2 or x? -1/2 Let a = -3119/3987 + 2/443. Let j be (1 - 0)*0/1. Do a and j have the same value? False Let v(k) = -2*k**2 + 10*k - 8. Suppose -8*o + 30 = -3*o. Let r be v(o). Let g = -19 - r. Which is smaller: 0 or g? 0 Suppose -2*n - 3 = -19. Let v be (-6 + (-10)/(-5))/2. Is n less than v? False Suppose j = -3*w - 12, -24*j - 8 = -20*j + 2*w. Which is smaller: j or 1/1029? j Let c be 748/110 + 2/10. Let j be 2/c + 3/(-84). Which is greater: -0.3 or j? j Suppose 82 = -4*w + 2*j, -2*w = -4*j + 2*j + 42. Which is smaller: -17 or w? w Let q = 0.5 + -4.5. Let t = q + 3. Let f = -8.96 - -9.06. Which is smaller: t or f? t Let m = -21 + 20.92. Let c = m - -0.4. Let o = 2.32 - c. Is o smaller than 0.1? False Suppose -14*b = -1743 - 217. Is b > 139? True Let h be (-2)/4 - (-1)/(-22). Let p be ((-8)/(-20))/2*5/4. Which is bigger: h or p? p Let k be (-42)/24 + 3 + 0 + -2. Are 0.09 and k nonequal? True Let x(l) = l**3 + 7*l**2 - 7*l + 3. Let q(v) = 2*v + 10. Let j be (0 + 1)/((-9)/81). Let r be q(j). Let c be x(r). Is -5 at most as big as c? True Let k be (-60)/12 + 23/5. Which is bigger: -0.98 or k? k Let d = -2.59 - -2.59. Which is smaller: 14/9 or d? d Let a = 49 - 21. Let o = 31 - a. Suppose 3*k - 3 = 0, 4*k + 4 = 5*s + o. Is s at most -1/8? False Suppose -3*c + 2*s + 11 = 0, 2*c + 0*c - 3*s = -1. Let w be 7 + -3 + 0 + c. Let a be w + -2 + -10 + 8. Is a at most as big as 5? False Let l be (-6)/(1*2/(-2)). Suppose 3*y - 4*y - 3 = 2*k, 12 = -5*k - 4*y. Suppose 12 = 2*a - k. Is a <= l? True Let c(m) = -6*m**3 - m**2 + 5*m + 5. Let p = 11 + -13. Let b be c(p). Let r be b/(-12) + 3/(-4). Which is bigger: r or 0? 0 Let y = -0.54 - -0.44. Which is smaller: y or -0.0073? y Let l = -42.872 + 1.372. Which is smaller: l or 2? l Let i be (-32)/160 - 3/(45/222). Is i greater than or equal to -41/3? False Let h = 1/46 + -95/138. Suppose 2*b + f - 8 = 0, 2*b - 5*f + 5 = 1. Let m = b - 3. Which is smaller: h or m? h Suppose -2*c + c = 3*j - 7, 3 = 4*j - 5*c. Let m = j + -5. Which is smaller: 0.5 or m? m Suppose 3*g = -3 - 15. Let v(p) be the second derivative of -p**5/20 - 7*p**4/12 - p**3 + p**2/2 - 11*p + 3. Let s be v(g). Which is smaller: s or -2/49? -2/49 Let a = -117.9 + 116. Let y = -0.7 - a. Let s = 1 + 1. Is s at most as big as y? False Let b(u) = -u**3 - 6*u**2 + 10*u + 13. Suppose -6 - 15 = 3*r. Let x be b(r). Which is smaller: x or -2/7? x Let n = 0.9 + -25.9. Let w = -26 - n. Let x = -7.7 + 7. Which is greater: w or x? x Let k be 4032/(-196) - (1 + -2). Is k greater than -21? True Let g = 9053/14121 - 6/523. Is 0 at most g? True Let n be 1650/2125 - (-2)/5. Which is greater: 2 or n? 2 Let g(v) = v**2 - 16*v + 18. Suppose -4*r - o + 57 = 14, 5*r = 3*o + 75. Let j be g(r). Let n = -29 - j. Do n and 9/10 have the same value? False Let g = -6 + 12.6. Let t = g + -6.6. Let v be 10*(0 + (-18)/15). Do v and t have the same value? False Suppose 2*w - 3*w + 2 = 0. Suppose 2*d + 3*x = w, 2*d - 6*d + 32 = -x. Suppose -318 = -33*t - 120. Do t and d have different values? True Let s = 8 + -14. Let h = 0.79 + -0.19. Let j = h + -0.7. Are s and j nonequal? True Suppose 0 = 10*h - 35 - 55. Which is smaller: h or 47/6? 47/6 Let q = 8 - 36. Let c = q - -28. Is 0 less than or equal to c? True Let s = 12594 + -4621992/367. Which is bigger: -1 or s? s Let f be ((-2)/3)/((-20)/(-12))*-5. Suppose -5*t - 1 = -0*n - 4*n, -6 = -2*t. Let v be (0 - -4 - n)/f. Which is bigger: v or -0.03? v Let z = 2021 - 64679/32. Which is smaller: -1 or z? -1 Let p(z) be the second derivative of -z**5/20 + z**4/12 + z**3/6 - z**2 + 7*z. Let o be p(0). Let r be 5/(o - 0/2). Is r bigger than -2? False Let w = 2.84 + 0.06. Let a = -3.1 + w. Is a at most -11? False Let q(j) = 3*j**2 + 6*j - 4. Let r be q(-3). Suppose -4*u + 13 = r*w, 0 = -u + 3*w + 23 - 7. Let m(h) = -h + 7. Let o be m(u). Is o > 0? False Let o = 1.7 - 1.4. Let f = o - 1.4. Let h = f + 1.4. Which is smaller: h or 2/5? h Let n(f) = f**3 + 6*f**2 + 5*f + 5. Let g be n(-5). Let a = g - 4. Let y be (64/14)/(1/((-10)/(-20))). Is y <= a? False Let a(f) = -6*f**2 + 16*f - 17. Let i(c) = -4*c**2 + 11*c - 11. Let q(d) = -5*a(d) + 7*i(d). Let g be q(0). Which is smaller: g or 5? 5 Let t = -18.9 - -10.9. Which is greater: t or -2/3? -2/3 Let p = -1/5084 + 12713/15252. Let r(w) = 3 - 2 + 0*w - w**2 - 4*w. Let v be r(-4). Which is greater: p or v? v Let j be (-4)/14 + 5/((-560)/2124). Let t = -379/20 - j. Let v = 2.1 + -2. Which is smaller: v or t? v Let q(s) = -s - 5. Let y be q(-4). Let f = 90.6 + 2.4. Let n = f + -90. Which is bigger: n or y? n Let v(c) = c**3 - 14*c**2 + 23*c + 14. Let q be v(12). Let p be 177/(-114) - (q - (-42)/(-12)). Which is greater: -1 or p? p Let d = 49.7 - 48. Let j = -1.8 + d. Let a = 9 + -19. Is a <= j? True Suppose s - 14*k = -12*k - 367, -3*k = s + 352. Is s equal to -364? False Let p be (-7)/((-4)/(-26 - -2)*-1). Let u = p + -20. Which is smaller: 21 or u? 21 Let z = 16 + -13. Suppose 0 = z*y + y + 4. Let p = -3/53 - 297/371. Is p bigger than y? True Suppose 43 = 2*r + 15. Suppose a - 5*u = 4 + 7, -u + r = -2*a. Which is bigger: a or -8? -8 Let z(n) = -100*n - 1 + 47*n + 52*n. Let t be z(-3). Suppose -4*w = 4*v - 8*v + 28, v = 3*w + 9. Is v less than t? False Let c = 280 - 279. Which is smaller: -1/21 or c? -1/21 Suppose -19 = -i + 3*q, 3*i + i = -q + 11. Let a be ((-6)/i)/(2/4). Let w be 1 + -22*a/(-48). Is w > 1? False Let h = -83 - -82.7. Is -24 < h? True Let n = 65 - 65.5. Which is bigger: n or 0.2? 0.2 Let v be (9 - 9)*(-2)/8. Which is smaller: 27/19 or v? v Suppose -3*u - 284 = -245. Which is smaller: u or -2? u Let i = 0.08 - 0.73. Let p = 0.15 + i. Which is smaller: p or -1? -1 Let r = 0 + 0.062. Let l = 27.938 + r. Is l equal to 0.1? False Let b be (-2)/(72/66) - (2 + -3). Which is smaller: b or -10? -10 Let h = -0.9 + 1. Let f = 52 + -51.8. Let v = h - f. Which is smaller: v or 0.2? v Let d = 23 + -16. Suppose -7 = -4*s + 5, 0 = 2*f - 3*s - 7. Which is bigger: d or f? f Let k be (-4)/((20/(-7))/4). Let f(p) = p + 27. Let r be f(-20). Which is greater: r or k? r Suppose 1 = p + 6. Let j be (-7 + p)*(-1)/3. Let t be (-16)/(-6) - (j - 1). Is t at most as big as -1? False Let n = -37 - -70. Let p = n - 40. Which is greater: -4 or p? -4 Let i be (-107735)/(-966570) + 1/(-22). Is -1 less than or equal to i? True Let m = -2 - -2. Let s = 49/124 - 71/62. Which is smaller: m or s? s Let h be 80/(-6)*12/(-90)*-9. Let o(m) = -m**2 + 6*m - 9. Let b be o(7). Is h >= b? True Let p be (-1)/(-2) + 26735/(-255). Let c = 308/3 + p. Let b = c - -3/17. Which is greater: b or -0.3? -0.3 Let b = -18.26 - -18. Let n be ((-254)/50 - -5)*5. Which is bigger: n or b? b Let m = -264 - -1055/4. Which is smaller: m or -19/21? -19/21 Suppose 14*z - 1 = 13*z. Which is greater: -1/236 or z? z Let w be 0/(-2) - (-16)/(-16). Which is bigger: w or -2/2335? -2/2335 Suppose 0 = 61*k - 55*k. Let m = -157/133 - -9/7. Which is bigger: k or m? m Let k = -34 - -2. Let y = -30.2 - k. Is y != 2/7? True Let z = 15 - 63. Let c be (-1450)/(-12) + (-8)/z. Let g be c/(-264) + 1/3. Do g and -1 have the same value? False Let m = 166 + -168. Let q(l) = -3*l**3 - l - 1. Let u be q(-1). Let g be 32/(-6) + (6 - u). Is g greater than m? False Suppose 5*x = 2*y + 3*x - 12, -3*y + 2*x = -14. Suppose 4*f - y*f = -30. Which is greater: f or -13? -13 Suppose 3*q - 8 = -0*q - 5*z, q + 2*z = 1. Suppose -5*w + 20 = 3*t, t = -2*t + 5*w - 20. Are q and t non-equal? True Let t = 12 - 8. Suppose -2*q - 26 = -t*q. Suppose 8*v - q*v = 55. Is v less than or equal to -11? True Let o(v) = -v**3 - 8*v**2 + 10*v + 9. Let b be o(-9). Let u(p) = 11*p + 6. Let c be u(-3). Let g be c/7 + (-3 - -7). Which is smaller: g or b? b Let g = 73 + -112. Which is smaller: -38 or g? g Let k = 26 - 16. Let p = k - 9.6. Let j = -0.4 + p. Which is smaller: j or -0.1? -0.1 Let m(x) = x**3 + 5*x**2 + 2. Let l be m(-4). Let k be (-1956)/l*3/21. Let o = k + 83/7. Is o less than -4? False Suppose 3*r - 7 - 59 = 0. Suppose 3*v - 2*i = r - 6, 16 = 2*v - 4*i. Let l be (-6)/v*85/(-15). Is 8 >= l? False Suppose 0 = 5*w - 1 + 11. Let g = -1/3303 - 19811/23121. Which is smaller: w or g? w Suppose 62 = -f + 2*f - 2*x, 340 = 5*f + 5*x. Let n = f + -41. Suppose -
{ "pile_set_name": "DM Mathematics" }
/10 -1/5 What is the value of (((-126)/(-120))/((-48)/128))/((-2)/(630/9))? 98 What is -12*(-3370)/(-2022)*(-2)/25? 8/5 What is the value of (42/(-9))/(43/(-5418)*-6)? -98 Calculate 10/(-2*(2/20)/(105/1050)). -5 Calculate ((-16)/168)/((-93)/((-292950)/84)). -25/7 3/1*(-3)/(-3)*(-1071)/(-63) 51 (-44)/(-143)*92274/1092 26 What is ((13248/(-264))/(-92))/((-3)/(-5))? 10/11 Calculate 5*(-380)/(-95)*(-1*3)/(-180). 1/3 Evaluate ((-31)/((-3131)/404))/(2/16)*(-1)/5. -32/5 What is the value of 106/((3128/85)/(-23)*65/52)? -53 What is (7986/(-99))/((-66)/36)? 44 (10/34)/((15*6/36)/(-1)) -2/17 Evaluate 1812/(-604)*(-14)/((-6)/(-3)). 21 Calculate 4*30/(11280/893). 19/2 Evaluate (-63)/42*(-155)/(-26505). -1/114 Evaluate (-5)/(((-930)/496)/(-6*(-4)/(-32))). -2 What is (((-4)/(-24))/((-1)/(-4)))/(1886/(-138))? -2/41 What is the value of -7*((-20)/(-9))/((-98)/63)? 10 What is (((-115)/575)/(-1*(-16)/(-40)))/((-4)/840)? -105 (-4)/(-56)*4*(8/(-13))/(-8)*-1 -2/91 (65*6890/(-29575))/(((-2)/(-28))/(2/(-8))) 53 Calculate (-10)/3*263211/(-25805). 34 Calculate (9021/388)/((-33)/44). -31 Calculate ((-6336)/(-7600))/(-66)*-50. 12/19 What is 1*-1*(34/136)/(-9*9/3564)? 11 Calculate (-50)/45*(-684)/(-95). -8 What is (23/667)/(102/204)? 2/29 What is the value of -3*6/(-4)*((-3340285)/3540)/871? -39/8 Calculate ((-48)/10)/((-195)/142350*-146). -24 ((-12)/(-880)*-5)/(((-486)/27)/(-144)) -6/11 (150/495*33)/(-13) -10/13 35/(1400/48)*250/(-110) -30/11 What is (-63)/(-378)*(-8)/4*36? -12 What is the value of 2/(-18)*-1*272/(35360/4290)? 11/3 What is 500*19*(-448)/1064*1/(-32)? 125 6/9*87642/2164 27 What is (((-6)/((-96)/4))/(126/(-224)))/((-10)/1395)? 62 (-15)/45*3*39/1638 -1/42 Evaluate -55*(-14)/308*108/15. 18 Evaluate 2/(21*98/(-33957)). -33 ((-21)/2)/((-59)/((-60298)/(-219))) 49 Evaluate -21*(-1)/1*(18/60)/((-783)/1392). -56/5 Calculate (16/(-364)*6*15/(-360))/(1/13). 1/7 What is the value of 576/896*-4*(-700)/(-480)? -15/4 ((-816)/96)/(5049/(-4356)) 22/3 What is the value of ((-66)/(-8))/(((-7824)/(-192))/(-163))? -33 Evaluate (7425/(-450)*8/528)/((-2)/(208/2)). 13 Evaluate 31/(186/(-168))*-70*12/(-294). -80 (((-148)/111)/((-10)/85))/((-4)/(-12)) 34 What is the value of 3*4/(-6)*(-570)/(-2926)*7/10? -3/11 Calculate 3/(((-15)/10)/((-372)/164424)). 1/221 What is the value of ((-172)/(-215))/(42/5)*56/160*-4? -2/15 What is the value of ((-2)/(-24))/(259*72/(-23976))? -3/28 What is 8050/(-115)*7/637? -10/13 Calculate 12/(-52)*8554/(-9212). 3/14 Evaluate (-63)/1*(-30550)/49350. 39 What is (40/116)/5*((-20)/(-6))/((-725)/(-870))? 8/29 Calculate (4/1605)/(66/(-55)*7/21)*-3. 2/107 What is the value of (1/1*863/4315)/((9/40)/(-3))? -8/3 Evaluate (-6*10/(-1800))/(((-605)/66)/(-55)). 1/5 Evaluate (-1)/8*39384/(-11487). 3/7 Evaluate ((-6)/(-16)*(-35800)/(-1611))/(20/156). 65 Evaluate 7/(10374/(-12))*(-5434)/418. 2/19 Evaluate 48/(-234)*42/(-336). 1/39 What is (1/2)/(((-6)/16)/(((-165)/22)/1))? 10 760/15*((-456)/20)/19*50/40 -76 What is the value of ((-818)/24949)/((-26)/10309)? 13 (472/12*4)/(3548/(-2661)) -118 What is the value of 86100/(-5740)*17/(-5)? 51 (4917/119647)/((-2)/(-2190)) 45 Calculate (6*(-4)/8)/(1032/(-172)*1/82). 41 What is 1*(-44)/(-4)*987/(-564)*(-12)/21? 11 (17/1)/(12/4)*((-4557)/(-98))/31 17/2 What is (-45)/(-18)*(6*(-3)/(-250))/(2097/(-2796))? -6/25 What is ((-6)/(840/245))/(532/(-16))*(-6)/(-2)? 3/19 What is -14*(705/(-3384))/((-1)/8*10)*3? -7 What is 444*5*(-11)/275*65/(-156)? 37 What is (-6*2/54)/(170/23715)? -31 What is (1692/48)/47*64/(-1)? -48 What is the value of 7872/(-3936)*-1*5? 10 Calculate (-644)/966*(-184)/(-16). -23/3 What is 2*(-1)/(-3)*-7*(-24)/(-28)? -4 Calculate 5/4*(-9)/195*-78*-6. -27 What is (35/(-98))/((-1704)/1491)? 5/16 ((-18)/(-204)*17)/((-432)/24) -1/12 1/(12/(-16))*(-5202)/378012 2/109 (-42)/(-105)*(-1)/(((-3)/(-135))/1) -18 ((-4)/2)/((1749/(-2915))/((-3)/(-1245)*-6)) -4/83 What is the value of (64/24)/(-4)*(715/(-352))/((-50)/120)? -13/4 68/(-17)*(-1)/14*-13*5684/(-364) 58 What is ((-315)/54145*-34)/((-3)/(-42)*3)? 12/13 What is the value of (-1)/(-1)*189796/(-28882)? -46/7 -2*-2*11/66*(-30)/110 -2/11 What is the value of (5223/55712)/(((-54)/(-28))/(24/28))? 1/24 Evaluate (-6*18*18/2592)/(546/16). -2/91 Calculate ((-122)/(-3355)*143)/((4/(-15))/(-2)). 39 What is the value of ((-1878)/2504)/(27/(-96))*(-1)/(-724)*3? 2/181 Calculate 330/(-44)*(-21)/(-42). -15/4 Calculate (((-30192)/(-2405))/204)/(16/26). 1/10 -14*46*(-34)/(-3128) -7 Calculate ((-250)/(-118))/((-14633)/(-863347)). 125 ((-37)/(-1480))/((-9)/(-2520)) 7 Evaluate 32/4*35/546*39. 20 Calculate (-13)/338*13*14. -7 What is -24*(-8)/576*(-21)/(-266)? 1/38 (-120)/((912/(-312))/(-19)*-13) 60 What is 2*((-36)/16)/(2/32)? -72 (9/2)/9*57826/(-2991) -29/3 What is (3/(-2))/((9/(-28))/((-29)/(17458/(-2064))))? 16 What is the value of -12*(-36)/(-4)*(-89)/267*(-2)/42? -12/7 Calculate 4/(-12)*117/26*377*(-2)/(-78). -29/2 Calculate ((4/3)/1)/1*(-274)/(74528/(-9180)). 45 Calculate 4/112*(10150/(-899))/50. -1/124 What is the value of (-130*(-15)/75)/(13013/286)? 4/7 Evaluate (-1216)/304*(-1)/218. 2/109 Evaluate (10/(60/(-3)))/(((-3145)/(-4144))/85). -56 (4*1/(-3))/(282/980091*331) -14 (-1815)/(-110)*(-10)/1650*-15 3/2 What is the value of (((-27)/36)/(9/42))/(((-21420)/51)/30)? 1/4 (32/((-2720)/765))/((-2)/2) 9 What is (-310)/(-124)*76/(-10)*(-3)/(-3)? -19 Evaluate 34/119*((-7)/(-99))/(((-1452)/(-33))/(-44)). -2/99 Evaluate (198/30)/(-1*(396/45)/(-44)). 33 (525/(-12))/((-3248)/(-3712)) -50 Evaluate 88/(-179564)*53*7. -2/11 (-1)/(-20)*60/25*1775/1136 3/16 Calculate (1980/(-6930))/(2/868*2). -62 Calculate (22344/(-5320))/((-3)/(-25)). -35 Evaluate 3/(((-207)/18)/23*126/49). -7/3 Evaluate 9/2*(84/10)/(20/(400/9)). 84 Calculate ((176/132)/((-16)/(-4)*9))/((-2)/(-3)). 1/18 What is the value of (36/(-15))/((-14076)/27370)? 14/3 Evaluate ((-34)/(-85))/((-4)/(-10))*-14*(-16)/(-224). -1 What is (-10)/6390*27*1/(12/8)? -2/71 (62/(-10))/1*14/(-105)*570/76 31/5 145/2*114/1805*(-152)/(-12) 58 Evaluate (-20)/(-4)*-12*(-78)/130*1. 36 Calculate (6/3)/(13*(-68)/(-27846)). 63 What is the value of (90/180)/((-8)/40)? -5/2 What is (-7*2/(-770))/((-4)/(-260))*1? 13/11 Evaluate (((-9)/(-26))/9)/(-2*(-26)/(-520)). -5/13 What is 4/(-21)*12/5*12/((-1536)/1520)? 38/7 What is the value of 21/((-38)/(17328/(-171)))? 56 What is the value of 17/(-255)*330/385? -2/35 What is ((20475/168)/39)/(75/1440*8)? 15/2 Calculate (-140)/(-602)*2580/150. 4 Calculate (53/((-2385)/63))/(-1). 7/5 What is the value of 874/(-61180)*5/2? -1/28 What is the value of 6/(((-10)/25)/(4/20))*13/(-273)? 1/7 What is ((-102)/21)/(-1*2/98*7)? 34 What is (((-4446)/507)/(150/390))/(2/((-40)/(-6)))? -76 Evaluate ((-174)/(-29))/(-6*(10/(-25))/((-52)/65)). -2 ((-3)/((-45)/(-3))*3)/((-531)/43365) 49 (24/21)/((-14)/(-7))*49/(-6) -14/3 Evaluate (219177/2982)/((-5)/((-30)/9)). 49 ((-648)/468)/((-72)/(-312)) -6 Calculate (-4*27/144)/(1344/3840)*(-2)/(-3). -10/7 What is the value of ((-66)/55)/((-6)/(-3)*(-1)/(-65))? -39 (4/(-56)*4*(4025/(-10))/23)/2 5/2 Calculate (((-10770)/(-1436))/((-6)/104))/2. -65 Calculate (2/5)/(((-2791854)/1230)/117). -2/97 48/(-192)*(-4)/(-12)*-2*1752/(-4) -73 What is 8/12*63*((-5390)/(-84))/(-77)? -35 ((3540/(-60))/(-59))/(-1) -1 What is the value of (59/(-25))/((-2791)/69775)? 59 What is (48/(-6264)*29)/(11/(-9))? 2/11 Evaluate (875/(-126))/5*(-1599)/(-5330). -5/12 Calculate 182/1144*5184/252. 36/11 What is (135/36*7/((-735)/10))/(5/(-10))? 5/7 Evaluate 47*54/(-7614)*18*2/6*7. -14 What is the value of (-2555)/21*-1*(-2046)/3410? -73 Evaluate (-21)/9*957/15631. -1/7 What is (-28743)/(-286)*(-20)/(-30)? 67 What is the value of 204/(-1428)*(-98)/(-399)? -2/57 Evaluate 3/2*(-272)/(-1428)*(330/12)/(-55). -1/7 (-38)/(-57)*(-666)/17094 -2/77 What is (-2)/132*(-18892)/(-4723)? -2/33 Evaluate (-52085)/(-2841)*3/1350*6*10/1. 22/9 Calculate (5518/8277)/(3/((-441)/(-2))). 49 What is the value of 784/(-7728)*4*9/(-42)? 2/23 Calculate 18/15*(-34390)/543*1/(-2). 38 Evaluate (874/152)/((-1)/16*4). -23 What is (-176)/165*5*1791/(-17512)? 6/11 What is the value of (450/150)/(10/(-8)*(-120)/30)? 3/5 What is the value of (-4880)/12444*((-108)/8)/(-9)? -10/17 What is ((-6)/44)/(774/8385)*((-360)/(-25))/(-3)? 78/11 (-23*(-18)/(-552))/((-3)/(-36)*3) -3 E
{ "pile_set_name": "DM Mathematics" }
nearest to t in 4.5, -3, -1, 3? 3 Let f = 61 + -61.044. Let o = 2.956 - f. What is the nearest to -3 in -2, o, 4? -2 Let t = 7 + -7.3. Let g = -1985/28 - -498/7. Which is the closest to -0.2? (a) t (b) g (c) -3 a Let n = -1.9 - -2. Let p = 23 + -14. Let j = -9.5 + p. Which is the closest to n? (a) -0.6 (b) j (c) -1 b Let h be 1/(-2) - (-3)/6. Let s = 1.9051 + 0.0949. What is the nearest to h in -0.3, -2/3, s? -0.3 Let z be 2/(-6) + (-14)/(-24). Let l = 662 + -662. What is the nearest to l in z, 5/3, -2/9? -2/9 Let r = -1417 - -1415.61. What is the nearest to r in 3/5, -5, 1/8, -2/7? -2/7 Suppose -5*y - 17 = -d, 0*y - 3*y + 2*d - 13 = 0. Suppose -1032*w = -1022*w - 10. Which is the closest to -0.2? (a) y (b) w (c) -2/15 c Let r = -3 + 6. Let w = -2 + r. Let u = 204.9 - 205.1. Which is the nearest to w? (a) u (b) -0.3 (c) 2/5 c Let g = 17.83 + -17.53. Suppose 0 = -0*p - 4*p - 4. Let f = 0.2 - 0.1. What is the nearest to p in f, g, 3/5? f Let d be 0 + 3/(-3) + 4. Suppose 0 = -d*i - 0 + 3. Suppose 0 = -2*f - 0*f + 5*g - 2, 0 = -5*f - 5*g - 5. Which is the nearest to f? (a) 5 (b) 3/7 (c) i b Let n = -29 + 28. Let o = n - 0. What is the closest to -2/9 in o, 5, -2? o Let w(o) = 17*o - 198. Let a be w(12). What is the nearest to 7 in 5, -0.4, -1/5, a? a Let o = 1847/15 + -123. Let u = -0.5 + 0.5. What is the nearest to 3/2 in -0.1, u, o? o Let m = -1.5 - -2. Let o = -1.6 + 1.5. Let f = -189 + 186. Which is the nearest to o? (a) f (b) 2/13 (c) m b Let j = 200 - 199.4. Which is the closest to -0.1? (a) j (b) 5 (c) 3 a Let u be (-6)/63*3 + (-27 - -27). Which is the nearest to -1? (a) u (b) -3 (c) -2 (d) 3 a Let f = 3 - 3.1. Let w = 11 - 14. Let j be (3/4)/(-5 + (6 - 0)). Which is the nearest to 1? (a) f (b) w (c) j c Suppose 5*o - 2 = 4*c - 0, -5*c - 21 = 3*o. Let i = -0.0076 + 260.0076. Let u = -260.5 + i. What is the nearest to 5 in 4, o, u? 4 Let o = 712 + -714. Which is the closest to 0.5? (a) o (b) -2/3 (c) 5 b Let m be (2/(-4))/(4/64). Let q = 3 + m. Let h = -12 - -12. What is the closest to h in -0.5, q, -2/15? -2/15 Let p = 4.2 + -2.2. Let k = 1.5 - p. Which is the nearest to 0.2? (a) k (b) -0.2 (c) -2/5 b Let h = 1 + -2. Let k = 11347.7 - 11349. Which is the nearest to h? (a) 3 (b) k (c) 5 b Suppose 1178 - 1193 = -5*x. What is the closest to -0.1 in x, -3, 2/63? 2/63 Let r be ((-1919)/(-76) - 25)/(10/(-16)). Let p = -0.01 + -0.09. What is the nearest to 0 in r, -1/5, p? p Let u = 2.74 - 2.64. Let o = -1.5 + 2. What is the nearest to 0 in o, 0.2, u? u Let p = 248 - 249. What is the nearest to p in -7, -1, 0? -1 Let h = -1011 + 5815/6. Let b = h - -42. Suppose -2*v = 3*g - 5, 5*v - 3 + 28 = 5*g. What is the closest to -3 in 1/3, b, g? b Let o = -11062 + 11062.1. Let p = -0.8 + -0.2. Let v = 2 + p. What is the nearest to o in -1/3, v, 5? -1/3 Let r = 0.1 - 0. Let h = r - 0. Let x = 1400 + -1400. Which is the closest to -1? (a) h (b) 5 (c) x c Let f = 8.45 - 9. Let o = -71 - -71.15. Let r = o + f. What is the nearest to 0 in -0.6, -2/9, r? -2/9 Let m = -23 - -49. Let d = m + -37. Let p = d + 8. Which is the closest to 1? (a) p (b) 3 (c) 4 b Let w be 1/(-15) + (1 - 36/60). Let v(i) = 2*i + 12. Let b be v(-6). What is the closest to b in -0.3, -0.5, w? -0.3 Let x = 0.367 + -0.067. Let k be (2 - -1)*1/(-9). Let f be (-1)/((-14)/6 - -2). Which is the nearest to -1/3? (a) f (b) x (c) k c Let f be 8/140*21/12. Let r = 13/30 - f. Which is the closest to r? (a) -3 (b) -6 (c) 4 a Let u be (15/(-6) + 0)*64/1680. Which is the closest to 10? (a) u (b) -2/13 (c) 0.5 c Let a = -0.03 - -2.03. Let v = 435.7 - 436. Let x = 0.8 - 0.6. What is the nearest to x in a, -1/6, v? -1/6 Let l(o) = 3*o**3 - 126*o**2 - o + 45. Let x be l(42). Let y = -169/8 + 43/2. Which is the closest to -0.2? (a) x (b) y (c) 6 b Let v = 65 - 60. Let t be 36/30*v/(-2). Which is the nearest to t? (a) -5 (b) -2 (c) 1/2 b Let p be (3/(-15))/(12/(-6)). Let q = 569 + -568. Which is the nearest to q? (a) -1 (b) p (c) -8 b Let n = -4 + 3. Let o = -0.316 - -0.816. Which is the closest to n? (a) 0.4 (b) -11 (c) o a Let h be (-4 + 0)*2/588. Let y = -143/294 + h. Which is the nearest to -14/9? (a) y (b) 4 (c) -0.1 a Let i = 129 + -132. Let m be ((-4)/(-14))/(4 + 9/i). Which is the nearest to 0? (a) m (b) 3/7 (c) -5 a Let k = -1080 + 1077. Let y = 0.3 + 0.2. Let m = 2 - 3. What is the closest to m in k, y, -1/11? -1/11 Let u be 12/(-153)*(-6)/(-4). Let p = 6644/3 - 2215. Which is the closest to -3? (a) 1 (b) u (c) p c Let h = -792 - -792. Which is the closest to -2/3? (a) -7/3 (b) h (c) 2/11 (d) -5 b Let y = -27 + 68. Let f = y + -41.4. What is the closest to -1/4 in 5, f, 0.1? f Let y = 273 - 1910/7. Which is the nearest to 1/2? (a) 22 (b) 0.2 (c) y (d) -5 b Let v = -0.1 - -0.5. Let y = -8 - -8.7. Let g = y - 2.7. Which is the nearest to 1? (a) v (b) g (c) -3 a Let i be (-24 - 812/(-35))/(1 - -1). Which is the nearest to 0? (a) 45 (b) i (c) 4 b Let i = -7.08 + -0.62. Let n = i - -2.7. What is the closest to 3 in 2, 1/5, n? 2 Let x = -23 - -19. Let w = x - 8.6. Let z = w - -12. Which is the nearest to -1? (a) z (b) -3 (c) 0.4 a Let i = 20.9 - 21.4. What is the closest to -1 in 0.08, i, 1? i Let w be 4/(-24)*-6 - 0/2. What is the closest to -1/2 in w, 0.8, -2/17? -2/17 Let t = -21.8 + 24. Let q = t - 1.7. Let r = -3.5 + q. Which is the closest to -1/5? (a) r (b) 0.5 (c) 3 b Let h = 75.08 + -73. Let g = h + -2. Let k = g + -0.28. What is the closest to -1 in 3/7, 5, k? k Let s(v) = 9*v**2 + 512*v - 56. Let f be s(-57). What is the nearest to f in 1/7, -3, -3/4, -0.5? 1/7 Let w = -5.7 - -6. Let x = -0.5 - 0.4. Let h = 0.1 - x. What is the nearest to w in h, 0.3, -2/13? 0.3 Let f = -259.6 + 260. What is the closest to 0.1 in 1/7, -5, -6, f? 1/7 Let n = -42 - -44. Suppose 5*u - n*y = -6*y - 27, 0 = -5*y - 15. Which is the closest to -2.1? (a) 2/7 (b) u (c) 3 b Suppose -17 = -4*g - 5. Let h = 2.9 - -2.9. Let c = 6 - h. What is the closest to -5/2 in c, -4, g? -4 Let y = -2112.5 + 2113. Suppose -2*p = -5*l + 18, 0*p + p + 2*l = 9. Which is the nearest to p? (a) 0.4 (b) 8 (c) y c Let o = 19 + -96/5. Let q = 86 + -86.2. Let n = 0.2 - 1.2. Which is the nearest to o? (a) n (b) 0.5 (c) q c Let x be -1*((-95)/385 + (-3)/(-7)). What is the nearest to 3/5 in x, -3, 1? 1 Let j be (-8)/10*(-3)/60. Let m = 9/25 + j. Let g = -2 + 2.4. What is the closest to m in -2/5, 4/3, g? g Suppose -p + 4*i = 22 - 0, 0 = -2*i + 10. Let u be (-4)/(-8) + p/(-20). What is the nearest to u in 5, -1/4, -3/5? -1/4 Let x = 0.052 + -0.482. Let y = -0.13 - x. Let q = 5 - 8. What is the nearest to -0.1 in 0.1, y, q? 0.1 Let o = -0.3 + 0. Let y = 3.91 + 0.09. What is the closest to 3 in -6, o, y? y Let l = -1.64 - -1.51. Suppose v - 2*v = 2. Which is the nearest to -0.1? (a) l (b) -1 (c) v a Let p = 4 - 3.4. Let o(d) = d**3 - 8*d**2 + 6*d - 49. Let g be o(8). Which is the nearest to p? (a) g (b) 0.1 (c) 4 b Let j = -0.02 + 0.12. What is the nearest to j in -1/2, -2/9, -0.69? -2/9 Let h be (-2*(-5)/115)/1. Let r = h - 102/115. What is the closest to 0.1 in r, 0.4, -2? 0.4 Let i = -8/13 + 162/221. Let q = i - -47/34. Which is the nearest to 0? (a) 2/11 (b) q (c) 4/5 a Suppose -5*y - 1 = 4. Let g be 19 + -14 - 22/2. Let x be (-55)/(-150) + 1/g. What is the nearest to y in 2, 4, x? x Let q(p) = -p**2 + 12*p - 19. Let y be q(10). Let j be 3*(y - -4)/(-30). What is the nearest to j in 4, -12, -2/3? -2/3 Let s be (-1)/((1/3)/1). Let g = -58.963 - -59. Let d = g + -0.237. Which is the closest to s? (a) d (b) -4 (c) 0.1 b Let r = 32 + -222/7. Let t = -636 + 637. What is the closest to r in -0.3, t, -1? -0.3 Let l be 1/((-5)/4 + 0). Let m = 437769 - 86678495/198. Let o = m + 21/22. Which is the closest to o? (a) -1/4 (b) 4 (c) l a Let x = -25/14 - -41/70. Let j = -1.4 + 11.4. Let n = -10.5 + j. Which is the nearest to -1/4? (a) 2/7 (b) n (c) x b Let m = 40 - 40.6. Which is the closest to 2? (a) m (b) 1 (c) 0.3 b Let y = 6.85 + -6.93. Which is the closest to 0? (a) -1 (b) 0 (c) y (d) -5 b Let z = 5.1 - 0.1. Let d = 2.6 + -2.583. Let i = d + 0.183. What is the nearest to i in 4, 0, z? 0 Let w be (-3)/(-9)*((-720)/(-25))/12. Whi
{ "pile_set_name": "DM Mathematics" }
. 3.6, 2.6, 0.3, -2, -94 Sort 2/13, 2/7, -1442.9. -1442.9, 2/13, 2/7 Put 0.3, -2/153, 2, 31 in decreasing order. 31, 2, 0.3, -2/153 Sort -13, -3, 2, -4, -25. -25, -13, -4, -3, 2 Sort 4, 24, 44, -4 in increasing order. -4, 4, 24, 44 Put 2/21, 2/15, -0.2, -2/5, 2, 3 in increasing order. -2/5, -0.2, 2/21, 2/15, 2, 3 Put -1/2, 2/93, 5, 2/7 in descending order. 5, 2/7, 2/93, -1/2 Put 1, 0, -15, 474 in descending order. 474, 1, 0, -15 Put 224, 30, -4 in decreasing order. 224, 30, -4 Put 48, 156, 7 in decreasing order. 156, 48, 7 Sort 33/32, -4, -4/9, -2 in descending order. 33/32, -4/9, -2, -4 Put -0.1, 0.879, 1/3, 0.8 in increasing order. -0.1, 1/3, 0.8, 0.879 Sort -2, 1, 12, 14, -6 in ascending order. -6, -2, 1, 12, 14 Put 0, -2, 4/5, -0.2, -5, 9/4274 in decreasing order. 4/5, 9/4274, 0, -0.2, -2, -5 Sort 1, 668, -5.5 in descending order. 668, 1, -5.5 Sort 42, 5, -1, -76 in ascending order. -76, -1, 5, 42 Sort 1, 163, 6. 1, 6, 163 Sort 5/6, 4, 0.5, -3, -0.7, 208 in decreasing order. 208, 4, 5/6, 0.5, -0.7, -3 Put 312, 3, 5 in increasing order. 3, 5, 312 Put 3/5, 70/11, -0.1 in decreasing order. 70/11, 3/5, -0.1 Sort 487/5, 2/7, 0.5 in ascending order. 2/7, 0.5, 487/5 Sort 5, -2, -1, -0.1, 0.4, -0.4 in increasing order. -2, -1, -0.4, -0.1, 0.4, 5 Put -825, 2, 698 in descending order. 698, 2, -825 Sort 466, -4, -28 in increasing order. -28, -4, 466 Sort -31, 0, 1979. -31, 0, 1979 Put -2, -4, -5, 15, -10 in increasing order. -10, -5, -4, -2, 15 Put -4, -244, -2, 3, 2 in increasing order. -244, -4, -2, 2, 3 Put -2, 3/5, 2011, 3 in decreasing order. 2011, 3, 3/5, -2 Sort 1, -5, -15474. -15474, -5, 1 Sort -7, -27, -1, -10. -27, -10, -7, -1 Sort 388, 0, 5, -4, 1, -2. -4, -2, 0, 1, 5, 388 Put -39, 0.153, 1/9, 0.5 in increasing order. -39, 1/9, 0.153, 0.5 Put 0.1, -5, -576, -1, -0.7 in decreasing order. 0.1, -0.7, -1, -5, -576 Put 1203, 0, -3 in ascending order. -3, 0, 1203 Sort 0.5, -5, -2, -3/5, 0.2, -6 in increasing order. -6, -5, -2, -3/5, 0.2, 0.5 Put 0.1, -18, 0, 12, -0.09, 1 in decreasing order. 12, 1, 0.1, 0, -0.09, -18 Sort 37, -1, -1927 in decreasing order. 37, -1, -1927 Put -2/13, 616, -69 in descending order. 616, -2/13, -69 Sort 1.2, -3, 228, 2/23, -1/6, 5 in ascending order. -3, -1/6, 2/23, 1.2, 5, 228 Sort 0.5, -5, 21, 5, 2, 2/7 in descending order. 21, 5, 2, 0.5, 2/7, -5 Put -5, -0.05, 4/15, 3, -0.08 in decreasing order. 3, 4/15, -0.05, -0.08, -5 Sort 2/15, -0.1, 23, -1/2, 0.5, 0.4. -1/2, -0.1, 2/15, 0.4, 0.5, 23 Put 0, 3321, -1, -2, 1 in increasing order. -2, -1, 0, 1, 3321 Sort -2, -562, -44 in ascending order. -562, -44, -2 Sort -0.8, -2/5, -10/21, 0.4, -3/4 in ascending order. -0.8, -3/4, -10/21, -2/5, 0.4 Sort -5, -1, 12, -16, -3. -16, -5, -3, -1, 12 Put -366, 1, -1, 10, 31 in descending order. 31, 10, 1, -1, -366 Sort -913, -5/7, 0.4 in increasing order. -913, -5/7, 0.4 Put 5, -2, -317, 16, 1 in ascending order. -317, -2, 1, 5, 16 Sort 1, 4, -173, 2 in ascending order. -173, 1, 2, 4 Put -1, -52, 0, -3, 4 in decreasing order. 4, 0, -1, -3, -52 Sort 5, -5, 4, 12, 21 in ascending order. -5, 4, 5, 12, 21 Put -1/21, 3, -4, 5, -392, -0.2 in ascending order. -392, -4, -0.2, -1/21, 3, 5 Sort -55/38, 1/25, -0.5, -2/3. -55/38, -2/3, -0.5, 1/25 Sort 0.314, 4, -2/5, 12. -2/5, 0.314, 4, 12 Sort -13, -0.3, 1, -2/15 in ascending order. -13, -0.3, -2/15, 1 Put -8, 2, -8104 in ascending order. -8104, -8, 2 Sort 8, 5, 2, -55, 4. -55, 2, 4, 5, 8 Sort 6/7, 12, -2, 95.6 in descending order. 95.6, 12, 6/7, -2 Sort 0.08, -0.19, 29, 0.11 in increasing order. -0.19, 0.08, 0.11, 29 Sort -7, -2, -4, -107, -1, 4. -107, -7, -4, -2, -1, 4 Sort 4, -12, -1, -6, -4 in descending order. 4, -1, -4, -6, -12 Sort -5, 0.4, -0.8, 0.005, 0.5, 1 in ascending order. -5, -0.8, 0.005, 0.4, 0.5, 1 Put -10, 1, 18, -1, -2, 5 in decreasing order. 18, 5, 1, -1, -2, -10 Sort 143/7322, 0.3, 0. 0, 143/7322, 0.3 Sort 0.63, -119, 0.3 in decreasing order. 0.63, 0.3, -119 Sort 8, -9711, 2. -9711, 2, 8 Put 5, 213, -42, 16 in descending order. 213, 16, 5, -42 Sort 69, -12, -4, 0, 332, -5 in decreasing order. 332, 69, 0, -4, -5, -12 Put 215, 3, -55, 1, -2 in increasing order. -55, -2, 1, 3, 215 Put 162, 3, -5/17 in descending order. 162, 3, -5/17 Sort 2, 0, -0.00215, 2/7 in descending order. 2, 2/7, 0, -0.00215 Put -1.5, -0.03, 0.068, 4 in decreasing order. 4, 0.068, -0.03, -1.5 Sort -4, 1.866, -5, -2, -0.09 in increasing order. -5, -4, -2, -0.09, 1.866 Put 484, -5, 1, 18, 4 in ascending order. -5, 1, 4, 18, 484 Put -5, -3, 0, 1, -59, 97 in increasing order. -59, -5, -3, 0, 1, 97 Put -2, -0.07, -1/2, 5/4, -123, 3 in decreasing order. 3, 5/4, -0.07, -1/2, -2, -123 Sort -2, 6, 11, 311. -2, 6, 11, 311 Sort 9, 37, -373 in decreasing order. 37, 9, -373 Sort 72, 10, -11, 2, -15, -2 in decreasing order. 72, 10, 2, -2, -11, -15 Put 2, -6, 5, -3, 22 in ascending order. -6, -3, 2, 5, 22 Sort 540, -1, 1, -4, 0, 4. -4, -1, 0, 1, 4, 540 Put -18.4, -0.31, -3, -66 in decreasing order. -0.31, -3, -18.4, -66 Sort 0, -2, -16, -4, -163 in increasing order. -163, -16, -4, -2, 0 Put 154, 34, 61 in descending order. 154, 61, 34 Sort -359, 5, -3, -1, -5 in decreasing order. 5, -1, -3, -5, -359 Sort 2/7, -1/7, -34, -3, 1/8, 0.88. -34, -3, -1/7, 1/8, 2/7, 0.88 Sort -1594, -2, -3, 3 in descending order. 3, -2, -3, -1594 Put 5, -1, 421778, 0.1 in increasing order. -1, 0.1, 5, 421778 Put 0, -5, -4, 73, 1 in ascending order. -5, -4, 0, 1, 73 Sort 1/4, 6, -0.56, 0. -0.56, 0, 1/4, 6 Put 51, 0.8, 0, -0.3, 2/7, 1/4 in ascending order. -0.3, 0, 1/4, 2/7, 0.8, 51 Sort 16/15, -3, -1, 1/4, -1.893 in decreasing order. 16/15, 1/4, -1, -1.893, -3 Put 1, -924, 186, 0 in decreasing order. 186, 1, 0, -924 Sort -34, -1.1, -0.11, -0.15, 1/3 in increasing order. -34, -1.1, -0.15, -0.11, 1/3 Sort -5, -1/10, 0.0073, -111, -1, 1 in decreasing order. 1, 0.0073, -1/10, -1, -5, -111 Sort -63, 254, 4, -3 in decreasing order. 254, 4, -3, -63 Sort 4, 7959, 3/11 in descending order. 7959, 4, 3/11 Sort 430, 90, -4, -1, -3 in decreasing order. 430, 90, -1, -3, -4 Sort 1, -12017, 2 in ascending order. -12017, 1, 2 Put 6480, 3, -3 in increasing order. -3, 3, 6480 Sort -0.3, 40/7, 0.29, 0.2, 42 in decreasing order. 42, 40/7, 0.29, 0.2, -0.3 Sort -5, 14, -1, -4, 172, 5 in decreasing order. 172, 14, 5, -1, -4, -5 Put -6, -1, -2831, 0, -10 in increasing order. -2831, -10, -6, -1, 0 Sort -3/4, 0.02, -83/4, -3, 8, 1 in decreasing order. 8, 1, 0.02, -3/4, -3, -83/4 Put -1/26, 5/4, 173/5, -0.1 in descending order. 173/5, 5/4, -1/26, -0.1 Put -0.2, -1389, 0.02, 0.1 in increasing order. -1389, -0.2, 0.02, 0.1 Sort -3, -93, -6, 4, -48, -2 in descending order. 4, -2, -3, -6, -48, -93 Put 2/7, 61, 1/2, -0.03, 0.2 in ascending order. -0.03, 0.2, 2/7, 1/2, 61 Put 1/3, 76, 93 in increasing order. 1/3, 76, 93 Put -30, 60, 2, 1, 7, -2 in decreasing order. 60, 7, 2, 1, -2, -30 Put -4658, -1, -2 in decreasing order. -1, -2, -4658 Sort 5, 13, -0.0035, -1 in descending order. 13, 5, -0.0035, -1 Sort 0.5, 2, 62111 in decreasing order. 62111, 2, 0.5 Put -1/2, 174617, 4 in descending order. 174617, 4, -1/2 Put 0, -0.1, 4, -3404 in decreasing order. 4, 0, -0.1, -3404 Sort -1, 701, -63. -63, -1, 701 Put 2, -4, 1, -30, -16 in increasing order. -30, -16, -4, 1, 2 Put 0, 1, 4, -39523 in decreasing order. 4, 1, 0, -39523 Sort 23, 90, -14, -0.1. -14, -0.1, 23, 90 Sort 2/11, 0, 10, -10/3, -2 in increasing order. -10/3, -2, 0, 2/11, 10 Put 646, -3, 0 in descending order. 646, 0, -3 Put -36/29, 5, -9 in descending order. 5, -36/29, -9 Sort -2, 2, 3, 0.3, 0 in ascending order. -2, 0, 0.3, 2, 3 Put 179398, 1, 5, 4 in descending order. 179398, 5, 4, 1 Sort -3, -18, 2/3, -6, 4/477 in decreasing order. 2/3, 4/477, -3, -6, -18 Put -3, -4909, 2, -27 in decreasing order. 2, -3, -27, -4909 Put -0.37, 1/3, 1/11, -0.1, 24.4 in descending order. 24.4, 1/3, 1/11, -0.1, -0.37 Put 1562, -17, -1, -0.2, -2, -0.3 in increasing order. -17, -2, -1, -0.3, -0.2, 1562 Put 4, 0.5, 0.62, 3/2 in decreasing order. 4, 3/2, 0.62, 0.5 Put 595.21, -12, 0.5 in ascending order. -12, 0.5, 595.21 Sort 3.57, -7, 3, -0.3 in ascending order. -7, -0.3, 3, 3.57 Put 0.03, 1, 0, -5, -327 in descending order. 1, 0.03, 0, -5, -327 Put -5, 5/3, 55 in decreasing order. 55, 5/3, -5 Sort -1, 7, 3, -6, -12 in descending order. 7
{ "pile_set_name": "DM Mathematics" }
-20)/(-16))/((-364)/(-32) + 3)? 2/23 Evaluate 18/126 + 1/(-56)*1. 1/8 What is 0/71 + 1/(-5)? -1/5 ((-150)/(-18) - 7)/((-8)/(-2)) 1/3 6/45 - 266/(-30) 9 (-13)/(-2) - (-12)/(-8) 5 (-8)/(1*(-8)/(1 - -3)) 4 Evaluate 615/450 - (-4)/30. 3/2 Calculate (-11)/((-22)/(-30))*2/(-6). 5 31/124 + (-1)/8 1/8 Evaluate (-159)/(-954) + 2/(-4). -1/3 Calculate (5 - 2)/((-9)/12). -4 2*(4 - (-88)/(-20)) -4/5 Evaluate (100/(-13))/2 - -4. 2/13 (-2 + 14/6)*102/136 1/4 What is the value of 87/58*20/(-15)? -2 Calculate ((2 + -3)*(9 + 1))/2. -5 (-6)/(-4) + 1178/(-124) -8 What is (-1)/(21/(-18) + 9/6)? -3 What is (-3 + (-10)/(-5) - -5) + -5? -1 What is -1 + 4 - (-19)/(-6)? -1/6 Evaluate -8 + -6 + (-148)/(-12). -5/3 What is 0 - -1 - 1*-4? 5 What is (3/(-2))/(7 - 1)? -1/4 Evaluate (3 + 2)/(27/15) - 3. -2/9 What is (5 - 1) + 32/(-10)? 4/5 What is the value of (-11)/(-55) + -2 + (-12)/10? -3 2*-4 + (-13 + -15)/(-4) -1 Calculate 1/(1*-4)*(-112)/(-35). -4/5 Calculate 8/(-16) - 3/(-3). 1/2 What is the value of (2/(-1))/(5/((-100)/(-8)))? -5 What is (60/8 + -5)*-2? -5 Evaluate (-12)/(-14)*((-133)/21 - -6). -2/7 Calculate (-273)/195 - 22/(-10). 4/5 (-117)/(-91) + 2/(-14)*2 1 What is the value of 3/3*((-15)/5 + 8)? 5 Calculate 34*10/595*7. 4 What is the value of (12/(-16) + 0)/(2/(-8))? 3 Evaluate (2 - 16/2)/((-165)/22). 4/5 Evaluate 1/((-2)/(-11) - (-10)/66). 3 Calculate 3 + -9 - -3 - -4. 1 1/((-4)/(-24)*2) 3 What is 36/5 - ((-576)/(-90))/(-8)? 8 Calculate (704/(-363))/16*6/4. -2/11 3276/(-5265) - 2/(-5) -2/9 What is the value of (6/(-72))/((-1)/10)? 5/6 What is ((-2)/72*2)/((-16)/64)? 2/9 What is (-9 - -14)/(-30)*(-41 + -1)? 7 What is (-14 - -2)/(-12)*1/(-2)? -1/2 What is the value of (-2)/9 + 13*16/936? 0 What is the value of -6*(-5)/180*12/9? 2/9 Evaluate 1 + (-3 - 0) + 518/370. -3/5 Evaluate 7/(196/105) - (1 - -2). 3/4 What is (6/8)/(1/(6 - 2))? 3 What is the value of 1*0/(-3 + -2 - -6)? 0 What is (((-21)/(-12))/7)/((-16)/(-320))? 5 What is ((-15)/10)/(1/(-1) + 16)? -1/10 (4/8)/(-10*(-5)/25) 1/4 What is the value of 112/(-1100) + (-8)/(-44)? 2/25 What is (-12)/(-8)*10/(-15)? -1 What is 0/((0 + 2)*4/8)? 0 What is the value of 0/(-2)*(-8)/(-24)? 0 2/(-7) + 74/14 5 Evaluate (-35)/(-28)*3/(-27)*-12. 5/3 Evaluate (-1)/(-34)*(-21 - -17). -2/17 What is 7*(-20)/14*11/(-22)? 5 Calculate (-1)/3 + (-42)/(-18). 2 What is the value of (-22)/(-385) - 2/(-14)? 1/5 (-1 + 1)/((-6)/2) 0 What is the value of (-3)/(-2)*16/24? 1 What is the value of 2/(((-88)/(-220))/((-4)/(-2)))? 10 Evaluate (2/(-4))/(495/(-72) + 7). -4 What is (11 - 10) + 3/(6/2)? 2 Calculate (3/(-10))/(54/45). -1/4 -13 + (33 - 14) + 2 8 What is ((-1548)/20)/9 - (-32)/4? -3/5 Evaluate -2*(3 - (-4 + 6)). -2 What is the value of 30/3*(-2 + 6/4)? -5 Evaluate (-4)/14*(-3 + 10)*1. -2 -2 + ((-65)/30 - -4) -1/6 What is the value of 12 + -2 + -3 + (-47)/7? 2/7 What is the value of 152/(-330) + 7/((-4158)/(-36))? -2/5 Evaluate (36/(-8))/(3/(-4)) - 4. 2 6/21 - (-348)/(-42) -8 Evaluate 4*(644/(-72) + 9). 2/9 ((-8)/(-3))/((-13)/39) -8 Calculate (2/4)/(9/(-72)) + 0. -4 Evaluate (-6)/39 + (-4)/(260/(-465)). 7 What is (9/6)/(3/2)? 1 What is the value of 1818/(-225) - 2/(-25)? -8 What is the value of (-484)/880 - 20/16? -9/5 What is 56/(-10) - 6/(-10)? -5 What is 1/2*((0 - 3) + 1)? -1 What is the value of (-54)/55 + 4002/(-253) + 16? -4/5 (0 + 180/24)*(-4)/(-6) 5 Calculate (-3 + 5)*((-36)/(-8) + -4). 1 (-5)/(-175) + 3/(-7) -2/5 Calculate (-4)/(-14)*(-105)/45. -2/3 What is ((-155)/25 + 5)*(-10)/(-3)? -4 Evaluate 170/(-70) + (-6)/(-14). -2 Evaluate 12 + 14*51/(-60). 1/10 Calculate 3*2*(-14)/(-28). 3 What is ((-102)/(-68))/(3/(-8))? -4 Evaluate -2*(2/((-50)/95) - -4). -2/5 Evaluate (-7 - 1/6*-40)*18. -6 Evaluate (-91)/21 + (-2)/(-6). -4 Evaluate ((-168)/30 - -8)/((-12)/40). -8 1*((-128)/16 - 4/(-2)) -6 What is (((-147)/(-70))/(-7))/((-18)/(-12))? -1/5 What is the value of 7 + -4 + -1 - (4 + 0)? -2 What is -3 + ((-12)/3 - (-5 - -2))? -4 What is (100 + -99)*3/(3/(-7))? -7 Calculate 15/36 + (-24)/36. -1/4 What is the value of (-55)/44*(-3)/15? 1/4 (3 + -4)*(-1)/8 1/8 Calculate 56/441*(-63)/(-84). 2/21 Calculate 1/(-6)*-1 - (-140)/(-336). -1/4 What is (0*(116/28 - 4))/(-1)? 0 Evaluate (-7)/(-42) + 4/(-15). -1/10 What is the value of 3*(-16)/12 - (-46)/11? 2/11 What is -4 - (0 + 5 - 5)/2? -4 What is 6/4*38/(-57)? -1 16/(-4)*-1*10/(-8) -5 What is the value of (-3 - 8) + 1 - -3? -7 What is 6 - (400/15)/4? -2/3 What is the value of (46 - 10)*(-2)/6 + 4? -8 Calculate (-2054)/4424 - (-2)/8*3. 2/7 Evaluate (-70)/175 + (2 - 12/10). 2/5 Calculate -6*(-3)/(-18)*2. -2 What is (-2)/3*810/(-108)? 5 -8 + 2 + (-352)/168*-3 2/7 Calculate -2*4/(-16)*6/3. 1 What is the value of (-52)/(-12) + -4 + 187/33? 6 What is (-18)/(-45) + 6/10? 1 ((16/6)/4)/1 2/3 Calculate 40/50 + (-58)/10. -5 What is (3/42)/(12/24)? 1/7 What is 4*(-3)/(-4)*6/9? 2 What is (-9)/(-6) + (425/10)/17? 4 Calculate 16/40 - 16/65. 2/13 What is (-2)/14 + -1 + (-44)/(-14)? 2 What is -1 + 0 - ((-70)/(-12))/(-7)? -1/6 What is the value of (-44 - -41)*(-5)/3? 5 (4/2)/((11/2)/(-11)) -4 ((-48)/(-128))/(6 - (-516)/(-88)) 11/4 Evaluate 232/(-32) + 4 - -3. -1/4 What is (-1)/(6/90*-3)? 5 What is the value of 28/(-33) - 278/(-1529)? -2/3 Evaluate 51/210 - (-14)/(-140). 1/7 Calculate (2/4*-2 + 0)*3. -3 2/(-5) + (-33)/(-90)*-3 -3/2 Calculate -3 + -5*(-5)/25. -2 What is ((-21)/(-56))/(3/(-10))? -5/4 Evaluate 6/69 - 134/(-46). 3 Evaluate ((-3)/21)/((-6)/(-210)). -5 What is the value of 1/(1 - 6/9) - 7? -4 -3 + 0 - (1 - (5 + -1)) 0 (1/9)/(2/12) 2/3 Calculate (1 - 3)/(12 + -5 - -13). -1/10 Calculate 8/(-20) + (106/(-60) - -2). -1/6 What is the value of ((-454)/(-80) - 5) + (-6)/(-48)? 4/5 ((-3)/(-6))/((-17)/16 - -1) -8 What is the value of 27 + -34 - (1 + -6)? -2 Calculate 12/(-18) + (-8)/(-3). 2 ((-6)/8)/((-6255)/1112) 2/15 Calculate 0 + 1 - 114/171. 1/3 Evaluate (6 + 7/(-2))*-1. -5/2 What is 15/6 - (-328)/(-112)? -3/7 What is the value of (-20)/(-100)*(-2 + -1)*-1? 3/5 Calculate ((-12)/14 + 1)/((-25)/25). -1/7 What is the value of (0 + 6)/(-3*6/9)? -3 -1 - 7/(-5) - 377/130 -5/2 What is the value of (-316)/(-79) - (-1 + 9)? -4 What is the value of (4 - (-14)/(-4)) + (-44)/56? -2/7 What is the value of (-184)/(-460)*(-35)/2? -7 6 + -1 + (-154)/30 -2/15 What is the value of 10/(-125 - -15) - (-152)/(-22)? -7 What is the value of (-6)/4*(-52)/(-39)? -2 What is ((-3)/(-45)*5)/((-4)/12)? -1 Calculate 44/24 - 2 - 0. -1/6 Calculate 4/(-8)*3*4/3. -2 What is (-8)/(-192)*-116 - (-3)/(-18)? -5 Evaluate ((-46)/(-18) - 3)/(10/3). -2/15 What is the value of (-9)/18 + 22/28? 2/7 What is (-2)/34*11/((-110)/20)? 2/17 What is (-10)/(750/(-435)) + -1*5? 4/5 What is the value of (-4)/((-5)/5 - -3)? -2 Calculate (1 + 3)*(-135)/(-60). 9 Evaluate ((-1)/(-22))/(1*1/12). 6/11 What is the value of 7/1 + (-5)/(3 + 2)? 6 What is 2*(0/(-3) - 2/20)? -1/5 What is ((-2)/((-2)/(-3)))/(95/(-19))? 3/5 Evaluate -2 + (-33)/(-15) + 21/(-30). -1/2 What is the value of (-2)/4 - 130/(-140)? 3/7 What is (1 + 78/(-15) + 4)*-1? 1/5 What is 4/(-7)*(-9 - -13)/4? -4/7 Calculate (8 - 8) + ((-25)/(-5))/30. 1/6 What is (5 - (-104)/(-16))/((-255)/20)? 2/17 70/(-4)*(-102)/(-255) -7 9 + 14/1 + -34 -11 What is the value of (-8)/96*-2 + (-31)/6? -5 Evaluate (16/140)/((-4)/10). -2/7 What is (-2)/(-11) + 20/11? 2 What is the value of ((-704)/880)/((-1 - 0)/(-5))? -4 Calculate (-4)/(-10) - (-2 - (-1881)/765). -1/17 Evaluate 79/168 - (-3)/(-126)*4. 3/8 Evaluate 0/2 + -5 - -5. 0 Calculate (-282)/(-54) + 4/(-18) + -5. 0 What is the value of ((-2)/(-3))/(25/150)? 4 19 - 11 - (8 - -3) -3 What is 0 + (-5 + 3)*1? -2 (12/28)/(20 + -23) -1/7 Evaluate ((-9)/12)/(18/144). -6 What is (-12)/(-9)*99/(-352)? -3/8 (-32)/320 - 28/(-80) 1/4 Calculate 2*(78/(-12) + 4). -5 (0 + -2)*((-295)/50 + 6) -1/5 What is ((-1)/(-3))/(-6 + 5 + 2)? 1/3 What is the value of (-4)/(-6) + 16/3? 6 Evaluate 10*2/2 - (-10 - -13). 7 Calculate (-16)/(-252)*-15 - (-24)/84. -2/3 Evaluate 6 - 3 - -1*(-4 + -2). -3 ((-12)/(7 + -3))/(9/12) -4 Calculate 2*(209/(-22) - -14). 9 Evaluate 8/(-6) - 190/(-114). 1/3 What is the value of 5 + 1305/(-120) - -6? 1/8 Evaluate (84/630)/((-9)/15). -2/9 22/11*(-7)/217 -2/31 (-40)/(-14) + (5 - (-42)/(-6)) 6/7 What is (-15)/(-4) + -4 - (-13)/4? 3 What is ((-4)/10)/(11/(440/(-136)))? 2/17
{ "pile_set_name": "DM Mathematics" }
p = 2*h + 10, -4*h - 4*p = 0 for h. -2 Solve 1807*u - 1812*u - 44 = -3*p, -4*p + 12 = 0 for u. -7 Solve 0 = 4*m - 2*u - 21751 + 21745, 0 = m - u for m. 3 Solve 5*i = -5*h + 50, -2*h + 4739 = i + 4730 for h. -1 Solve 21783*h = -4*v + 21779*h + 100, -5*v - 4*h + 130 = 0 for v. 30 Solve 98*f - 97*f - 87 = -4*d, 10*d - 223 = 3*f for d. 22 Solve l + 3*p + 2 = 0, 78*p - 74*p = 0 for l. -2 Solve -l - 10 = 2*x, -88*x + 18 = -90*x - 3*l for x. -3 Solve 11*n = 9*n - 6, -3*n - 53 = -4*g for g. 11 Solve 3*v - 9 = 4*j, 215*v - 5*j = 216*v - 3 for v. 3 Solve 0 = -3*b - 5*d + 6*d + 5, -b + d + 5 = 0 for b. 0 Solve 980*o - 2 = h + 983*o, -3*h + o + 14 = 0 for h. 4 Solve -v = 3*d + 17 - 24, 2*d = 3*v + 1 for d. 2 Solve 4*l = -974*r + 970*r + 8, 5*r - 2*l - 17 = 0 for r. 3 Solve -4*n + 76*c + 40 = 80*c, 4*n + 2*c - 36 = 0 for n. 8 Solve 41 = 5*v - 2*k + 18, -5*v = 3*k - 28 for v. 5 Solve 5*w = -6*c + 44, 115*w - 47 = -3*c + 110*w for c. -1 Solve 5*y = -3*z - 21 + 11 - 40, -y = 7 for z. -5 Solve -4*i + 5*y - 101 = 0, -10*i + 472 = 3*y + 461 for i. -4 Solve 5*p = 5*f - 20, -423*p + 428*p = 8*f - 47 for f. 9 Solve -3*i = 0, -2*s + 5 = 25*i - 20*i - 15 for s. 10 Solve 31 = -2*x + 5*z, -17*x + 3*z - 24 = -14*x for x. -3 Solve -l + 0*l = 2*r - 36, -2*l = r - 15 for l. -2 Solve u - 6 = -j, -54*j + 49*j + 5 = 0 for u. 5 Solve 60 = -52*y - 4*q, -2*q - 5 = 32*y - 31*y for y. -1 Solve -197*q - k = -196*q - 6, 5*k = -3*q + 26 for q. 2 Solve -464*j - 5*t = -469*j - 25, 7 = j + 3*t for j. -2 Solve 2*w + r = 15, 9659*w - 2*r + 5 = 9658*w for w. 5 Solve x = 4*g - 19, -401*x + 397*x + 3*g - 24 = 0 for x. -3 Solve -b - 3*g - 17 = -11*g, -4*b + 1532*g - 1531*g - 6 = 0 for b. -1 Solve -n - 5*m = -102, -4*n = 4*m - 137179 + 137091 for n. 2 Solve 5*y = 924 - 939, -3*y = -i + 14 for i. 5 Solve -2*f + 22 = -393*s + 397*s, -3*s - 96 = -6*f for f. 15 Solve -8 = -2*s + 4*k, 2*k = -s - 270 + 290 for s. 12 Solve 0 = 2*b - 3*c + 1, 395*c + 12 = -4*b + 391*c for b. -2 Solve 5*q = -2*f + 35, -8*f = -3*f - 4*q - 5 for f. 5 Solve 488*l - 492*l + 16 = 0, 0 = -4*a - 5*l + 36 for a. 4 Solve 3*u = -3*c - 126 + 120, 0 = -2*c + 5*u - 18 for c. -4 Solve r + 11 = 2*i, 6 = 5*i + 2*r + 19 for i. 1 Solve 2*p - 2*s - 20 = 0, 27*p + 48 = 37*p + 3*s for p. 6 Solve 35*g - 34*g + 8 = 0, -2*g = -4*t - 4 for t. -5 Solve 0*r + 26 = b + 5*r, -14 = 5*b - 11*r for b. 6 Solve -3*m - 52 = 8*n, 4*n + 12 = n - 141*m + 138*m for n. -8 Solve -2*w + b = -13, 11*w - 4*b = 15*w - 32 for w. 7 Solve -5*i - 71 = -66, -a + 3*i + 9 = 0 for a. 6 Solve 3*k + 10*d = 73, 3*d - 12 = 2*k + d - 0 for k. 1 Solve 5*r + 4*g - 32 = 0, -56 + 68 = r - 2*g for r. 8 Solve 0 = -5*w - i - 11, 327*i - 324*i = 12 for w. -3 Solve 16 = -4*f + 10*d, -8*f + 5*d = 16 - 14 for f. 1 Solve -44 = 4*o + 20*u - 4, -o + 4 = -2*u for o. 0 Solve 16 + 9 + 23 = -4*d - 12*o, 5*d + 3*o = -12 for d. 0 Solve -21*t + 13*t = s - 12*t + 67, -48 = -3*t for s. -3 Solve 2*u + 6 = 0, 4*c - 131*u - 3 = -126*u for c. -3 Solve 16*q + 2*l - 200 = 0, 5*q + 101*l - 81 = 105*l for q. 13 Solve -2*t + 9 = -16*a + 21*a, 31*t + 4*a = -228 for t. -8 Solve 4*p = 3*f + 7, -133*f = -4*p - 148*f - 83 for p. -2 Solve -4*x + 20 = 0, -9957*m = -9952*m + 2*x - 40 for m. 6 Solve 16 = -3*n - 4*v, -20*n = -16*n - 3*v - 37 for n. 4 Solve -2*x = -2*u + 4, 364*x + 4 = 367*x - u for x. 3 Solve -331*c + 2 = 5*k - 330*c, -2 = 2*k - c for k. 0 Solve 5*f - 4*r = -8, 3*f - 8 = 74*r - 78*r for f. 0 Solve 5*p = -5*c + 10, 2*p + 118*c + 11 = 119*c for p. -3 Solve 4*o = 5*n - 20, -18*n = o - 23*n + 5 for o. -5 Solve 2 = 3*r - 4*x, -12 = -264*r + 260*r - 4*x for r. 2 Solve 7 = 4*u - 3*b, 18462*u = 18466*u - 2*b - 10 for u. 4 Solve 0 = -4*q - 2*u - 6, 0 = 10*q - 8*q - 5*u + 9 for q. -2 Solve 3*d - 16*m + 332 = 4*m, 4*d - 3*m + 64 = 0 for d. -4 Solve 4*s + 9 = 5*o, -1868*s - 6 = -1872*s + 2*o for s. 4 Solve -x + 56 + 10 = -5*k - 10*k, -16 = -2*k - 4*x for k. -4 Solve 4*n - 66*r + 45*r + 63 = 0, -4*n - 88 = 4*r for n. -21 Solve -3*y - 849 = 6*v - 873, 2*y - 7 = -v for y. 2 Solve -3*y = 3*h + 293 - 338, 5*y = -11*h + 45 for y. 20 Solve 23*a - 4*i + 8 = 24*a, -5*a + 12 = 6*i for a. 0 Solve -4*s + 14 = 2*p, 4*s - 2*p + 3480 = 3482 for s. 2 Solve 5*r = -4*j + 17, -62 = -2*j - 121 + 65 for r. 1 Solve -4*s - 26 = f, f + 5*s + 61 = 28 for f. 2 Solve s - 26 = -h - 26, 4*h - 11*s - 2*s = 0 for h. 0 Solve 5*f + 15 = -4*z, 24*f + 7 = -z + 26*f for z. -5 Solve 0 = 2*l - r + 8, -l - 5*r = 4 - 0 + 11 for l. -5 Solve 0 = 2*x - 11*h + 45, 18*h - 22*h = -4*x for x. 5 Solve -4*i - 3*v - 38 = 0, 0 = 4*i - 4*v - 25 + 21 for i. -5 Solve -3*f + 13 = 4*j, f - 19 = 180*j - 185*j for f. -1 Solve -3*m + 34 = 3646*b - 3651*b, -19 = -6*b - m for b. 1 Solve 18*l - 24 = 16*l - 4*w, 0 = -5*l - 4*w + 18 for l. -2 Solve k + 5*q = 10, -371*q + 373*q - 6 = 0 for k. -5 Solve 4*y - 23 = -m, 4*y - 3*m + 55 = 66 for y. 5 Solve 4*k - 2 = 3*y, 2*y + k = 1656 - 1650 for y. 2 Solve -a + 1241*t = 1240*t + 5, 5*a + 4*t + 7 = 0 for a. -3 Solve 4*f + i = 19, -9*f = -48*i + 46*i - 30 for f. 4 Solve 101*y - 103*y = 8*o + 12, -o = -3*y + 21 for o. -3 Solve 4*a = -5*r + 14, -264*r - 16 = -a - 259*r for a. 6 Solve 3*o - 54 = -g, -144*g = -4*o - 142*g + 62 for o. 17 Solve 19 = -3*q + 2*d, -448*d + 442*d + 22 = -4*q for q. -7 Solve 171*g - 175*g - 5*d = -35, 0 = 10*g - 5*d - 35 for g. 5 Solve -4*l + 82 = -2198*k + 2203*k, k - 29 = -5*l for k. 14 Solve 11*v + 3*a = 16*v - 8*v - 18, 36 = -8*v + 4*a for v. -5 Solve 0 = 3*n - 5*f - 7, 2*n = -5*f - 52 + 40 for n. -1 Solve 42*m + 3*g = 46*m + 3, -2*m - 3 = -3*g for m. 0 Solve -4*u = -44*s + 40*s - 60, 42 = -4*s - 5*u for s. -13 Solve 3*i - 2*f = -31, -2*i + 289*f - 291*f + 36 = 0 for i. 1 Solve -17 = 4*s - t, -2*t + 27 = -5*s + 8 for s. -5 Solve k - 3*x - 4 = 3*k + 17, 0 = -5*k + 3*x for k. -3 Solve 5*z + 25*y - 27*y = -16, -2*z + 3*y - 2 = 0 for z. -4 Solve 2*w - 3*z = -3355 + 3335, -3*w + 4*z = 28 for w. -4 Solve -22 = -7*l + q, 482*q - 477*q = -5 for l. 3 Solve 109*u - 99*u = x - 18, u + 12 = -5*x for x. -2 Solve -4*d + 1815*t = 1813*t - 2, 0 = -5*d - 2*t + 7 for d. 1 Solve 42159*j - 45 = 42156*j - 3*s, 5*j - 53 = -3*s for j. 4 Solve z - 10*s + 5*s + 18 = 0, -8*z = -4*s for z. 2 Solve 0*n - 3*n - 4*s + 367 = 367, 9 = -3*s for n. 4 Solve 4*k + 18 = o, 3*k + 206*o - 201*o + 25 = 0 for k. -5 Solve a = -31*t + 75*t - 353, -45 = -5*t + 5*a for t. 8 Solve -5*j - 35 = 2*i + 3*i, -3*i - 69 = -3*j - 66 for j. -3 Solve 176*c + h = 141*c + 142, 2*h = 3*c - 8 for c. 4 Solve 0 = 4*s - 3*u + 7 + 20, 0 = -4*s - 5*u + 13 for s. -3 Solve -2*j - 31*y = -36*y + 20, 2*j + 4*y = -2 for j. -5 Solve -p - 1 = 0, -22*r + 18*r - 5*p = -51 for r. 14 Solve 4*s + 40 - 4 = -2*n, 0 = -3*s - 5*n - 27 for s. -9 Solve 0 = 2*h - 294*i + 290*i - 20, 4*h - 16 = 2*i for h. 2 Solve -39*p - 5*p = -5*l + 260, -2*l + 1 = 3*p - 0*p for l. 8 Solve 2*h = -2*p + 22, 98*p - 4*h + 20 = 99*p for p. 8 Solve u - 5 = 2*m, -694*u = -708*u + m - 11 for u. -1 Solve t + i - 4 = 0, -t + 25*i + 7 = 15*i + 14*i for t. 3 Solve 5*v - 58*q + 59*q - 52 = 0, q + 2*q - 6 = 0 for v. 10 Solve -2*k = -5*m + 1 + 44, 0 = -k - m + 9 for k. 0 Solve 0 = -4*j - 5*s - 21, 5*j - 196*s = -202*s - 25 for j. 1 Solve 5*x = 5*d - 88 + 68, 3*x = d - 16 for d. -2 Solve 5*j - 16*w = -11*w + 25, -4*j - w + 20 = 0 for j. 5 Solve -4*h + 4*u + 49 = 117, 20 = 4*u for h. -12 Solve -f - 24 = -5*s - 7, f - 4*s + 13 = 0 for f. 3 Solve -5*v - 13 = -3*l, -454*v = -458*v - 11*l + 3 for v. -2 Solve 2*k = -9*h + 17, 200*h + 9 = -3*k + 198*h for k. -5 Solve -4*p - 3*y - 33 = 0, y = 5*p + 4*y + 4 + 41 for p. -12 Solve 67 = -5*w + 2*a, w + 89 = 32*a - 28*a for w. -5 Solve s - 29*n + 36 = 0, s - 5*n + 10 = -2*n for s. -7 Solve -115*m + 24 = -111*m - 2*n, -9*m - n + 65 = 0 for m. 7 Solve 4*m = -h + 20, -5*h - m = 28 - 33 for h. 0 Solve 3*r + 5*c = 1, 4*c - 230 = 4*r - 242 for r. 2 Solve -3*u + 4*f - 8 = -12, -5*f - 5 = u for u. 0 Solve 3*w + 4*g - 22 = 0, -437 + 441 = 4*w - g for w. 2 Solve -s = -f - 0*s + 8, -s - 4 = 0 for f. 4 Solve 7 + 9 = -10*j + k, 4*k = -5*j - 26 for j. -2 Solve 5*r + 1 = 3*y + 10, -7*y = -6*y + 3*r + 3 for y. -3 Solve 175*l - 172*l + 1 = b, 3*l = -3*b + 3 for l. 0 Solve 42*y = i + 39*y + 9, -i + 23 = 5*y for i. 3 Solve -l - 2*q = 0, -q - 8 - 5 = 5*l + 5 for l. -4 Solve 2*a - 281 + 287 = -m, -
{ "pile_set_name": "DM Mathematics" }
in increasing order. -5, -3, 4, 52327 Sort 0.69, 12/7, 0.2, -7. -7, 0.2, 0.69, 12/7 Put -7, 0, 67853 in descending order. 67853, 0, -7 Put -1, 10, 893 in ascending order. -1, 10, 893 Sort 35, -0.4, 1/5, -0.02, 0.6 in decreasing order. 35, 0.6, 1/5, -0.02, -0.4 Sort -45/7, 14, -0.11, -2/7 in decreasing order. 14, -0.11, -2/7, -45/7 Sort -2, 103, -9/50, 9. -2, -9/50, 9, 103 Put 2454, 3, -5, -6/5, 0.1 in increasing order. -5, -6/5, 0.1, 3, 2454 Sort -5, -6172, 0 in increasing order. -6172, -5, 0 Sort -173586, 5, 0.5. -173586, 0.5, 5 Put 2, 3, 4, -891, 0 in increasing order. -891, 0, 2, 3, 4 Sort 1, -2, 0, 4, 30, -36 in decreasing order. 30, 4, 1, 0, -2, -36 Sort 42.4, -9, -4, 0.4, 2. -9, -4, 0.4, 2, 42.4 Sort -5, 20990, 0. -5, 0, 20990 Put -23426, -17, 0, 2 in decreasing order. 2, 0, -17, -23426 Sort -3, 11, -5, 207, 0. -5, -3, 0, 11, 207 Put 6837/4, -2/7, -1 in decreasing order. 6837/4, -2/7, -1 Sort -1, -3, -2, 56 in increasing order. -3, -2, -1, 56 Put 315.1, 1, 0.5 in descending order. 315.1, 1, 0.5 Sort -48489, 0, 5 in decreasing order. 5, 0, -48489 Put 2/9, 4, 3, 1500, 72 in increasing order. 2/9, 3, 4, 72, 1500 Sort 5/6584, 0, -0.2, -2/5. -2/5, -0.2, 0, 5/6584 Sort -0.5, 2, -0.231, 0, 2/239. -0.5, -0.231, 0, 2/239, 2 Put 0.8, 3, 93, -0.0018 in descending order. 93, 3, 0.8, -0.0018 Sort 811, -2, -0.2, -0.06, 1 in descending order. 811, 1, -0.06, -0.2, -2 Sort 2, -182, 0, -3. -182, -3, 0, 2 Sort 9/391, -0.9, 0.1. -0.9, 9/391, 0.1 Sort -304, 19, -5, 4, -3 in decreasing order. 19, 4, -3, -5, -304 Sort -0.3, -36, 22636/9, -2/5 in ascending order. -36, -2/5, -0.3, 22636/9 Put -2, 67, -0.1, 3/4, 0, 1/5 in ascending order. -2, -0.1, 0, 1/5, 3/4, 67 Sort 2/21, 16, 1/15, -14 in descending order. 16, 2/21, 1/15, -14 Put -2, -1.107, -3/5 in decreasing order. -3/5, -1.107, -2 Put 5, 165, -39, 6 in descending order. 165, 6, 5, -39 Sort 2, 5, -91, 1, -0.3, 3/5 in ascending order. -91, -0.3, 3/5, 1, 2, 5 Put -2/11, 2, 12231, -0.5, -4 in ascending order. -4, -0.5, -2/11, 2, 12231 Put 23, 205, 0.01 in decreasing order. 205, 23, 0.01 Put -5, 11, 2, -132 in descending order. 11, 2, -5, -132 Put -3, -1/24, 1/11, 4, 0, 0.01 in descending order. 4, 1/11, 0.01, 0, -1/24, -3 Put -297, -3, 3114, 5, -1 in descending order. 3114, 5, -1, -3, -297 Put -2, -34, 1193, 4 in decreasing order. 1193, 4, -2, -34 Sort -5, 34, 2, 2/5, -5/4, -1 in ascending order. -5, -5/4, -1, 2/5, 2, 34 Put 1/13, 4/3, 3.34, -1/3, 4 in increasing order. -1/3, 1/13, 4/3, 3.34, 4 Put -3, 33149, 4, 2 in ascending order. -3, 2, 4, 33149 Sort 4, 0, -3/4, -1772. -1772, -3/4, 0, 4 Put 64, -5, 5/3, 0.4, 0.17, -2 in increasing order. -5, -2, 0.17, 0.4, 5/3, 64 Put -5, -2, 2, -7, 3, 2406 in decreasing order. 2406, 3, 2, -2, -5, -7 Sort -2/7, -4/5, -100, -1.6 in descending order. -2/7, -4/5, -1.6, -100 Sort 4, -286, -33, 2 in decreasing order. 4, 2, -33, -286 Put 4, -3, 2.7, 5, 1/2, -1.4 in increasing order. -3, -1.4, 1/2, 2.7, 4, 5 Sort -5302, 21, -5, 5 in descending order. 21, 5, -5, -5302 Put 5, -2/15, -3/7, 1/7, -7 in decreasing order. 5, 1/7, -2/15, -3/7, -7 Sort 4, 20, -40. -40, 4, 20 Sort -0.17, 4, 5, 0.3, -3/11 in decreasing order. 5, 4, 0.3, -0.17, -3/11 Put 1, 376, -4, 4, -1, 2 in descending order. 376, 4, 2, 1, -1, -4 Sort -230, -4, 1, 13, 56. -230, -4, 1, 13, 56 Sort -14.83, 0.4, 3, -0.5, -2/5. -14.83, -0.5, -2/5, 0.4, 3 Sort 3, 7, 38 in decreasing order. 38, 7, 3 Put 0.6, 67, -4, 2/17 in decreasing order. 67, 0.6, 2/17, -4 Put -106.95, 4.8, -4 in ascending order. -106.95, -4, 4.8 Put -2, -19375, 4 in increasing order. -19375, -2, 4 Put -5, 0, 2, -413 in decreasing order. 2, 0, -5, -413 Sort 142/5, 2.6, -2, 2/7, 0.2. -2, 0.2, 2/7, 2.6, 142/5 Sort 3, -299060, -3 in increasing order. -299060, -3, 3 Sort 0, 3, -70, -3208 in decreasing order. 3, 0, -70, -3208 Sort -41, -12, -918 in decreasing order. -12, -41, -918 Put 2, -1, 4, -5927, -9, -2 in increasing order. -5927, -9, -2, -1, 2, 4 Sort 5, -2/1597, -10. -10, -2/1597, 5 Sort 4, -7, -4, 76, -3, 2. -7, -4, -3, 2, 4, 76 Sort 13, 3, -4, 0, -21, -3 in ascending order. -21, -4, -3, 0, 3, 13 Sort 3, -18, -12, -4. -18, -12, -4, 3 Put -6, 2/5, -4, -1/10, 4, 0.16 in decreasing order. 4, 2/5, 0.16, -1/10, -4, -6 Sort 5, 3, -3, 2, 109, 0. -3, 0, 2, 3, 5, 109 Put 2, 1, 11, -2, -45, -3 in descending order. 11, 2, 1, -2, -3, -45 Sort 0.141, 1, -0.1, 2/5 in decreasing order. 1, 2/5, 0.141, -0.1 Put -4/7, -5, -8, 691, 0.2 in decreasing order. 691, 0.2, -4/7, -5, -8 Put 21, -2/9, 2/3, 1/2, 1, -5832 in ascending order. -5832, -2/9, 1/2, 2/3, 1, 21 Put 2/17, -1, -3/17, 13/4, 7.3 in ascending order. -1, -3/17, 2/17, 13/4, 7.3 Sort 74, 34548, 0, 0.1 in increasing order. 0, 0.1, 74, 34548 Sort 3203, -2, 352 in decreasing order. 3203, 352, -2 Put -6788, 0.5, -3/2, -1, -5, -2 in ascending order. -6788, -5, -2, -3/2, -1, 0.5 Put -2493472, 3, -4, 1 in descending order. 3, 1, -4, -2493472 Put -11, -16, 4, 20, 3 in ascending order. -16, -11, 3, 4, 20 Sort -4, 113, -82, 2, 4 in decreasing order. 113, 4, 2, -4, -82 Sort -8, 2, 682, -4 in ascending order. -8, -4, 2, 682 Put 2, -134, -1/6, -8 in ascending order. -134, -8, -1/6, 2 Sort 1, 21, 2/13, -17, -22 in descending order. 21, 1, 2/13, -17, -22 Sort -3, -44/9, -193, -4, 3. -193, -44/9, -4, -3, 3 Put 16, 1221, 4/7 in decreasing order. 1221, 16, 4/7 Put 21, 0, -1, -5, -20 in increasing order. -20, -5, -1, 0, 21 Sort -10343, -3, -5. -10343, -5, -3 Sort -3/26, -0.08, -2, 0.5, 14/9 in decreasing order. 14/9, 0.5, -0.08, -3/26, -2 Sort 1, -3, -2, 2902. -3, -2, 1, 2902 Put -200, 21, -122 in ascending order. -200, -122, 21 Sort 4, -1, -3, 3, -727 in decreasing order. 4, 3, -1, -3, -727 Put 17165, 0.2, 0 in decreasing order. 17165, 0.2, 0 Sort -2, 295, -1, 0, -23, -4 in decreasing order. 295, 0, -1, -2, -4, -23 Sort 16, 11711.2, 1 in increasing order. 1, 16, 11711.2 Sort 13317, 2, 3 in descending order. 13317, 3, 2 Sort -32, -4, -5, -77764. -77764, -32, -5, -4 Put -0.4, 0.3, 1/3, -24644 in increasing order. -24644, -0.4, 0.3, 1/3 Sort 0.03, 2/3, -106, 14. -106, 0.03, 2/3, 14 Sort -4, -6451, 63. -6451, -4, 63 Sort -2, 245, 0.2, -1/6, 1/6, 2. -2, -1/6, 1/6, 0.2, 2, 245 Put 1/6, -4381, 3 in decreasing order. 3, 1/6, -4381 Sort -3086, -5, 8 in ascending order. -3086, -5, 8 Sort -1, -19932, -3 in increasing order. -19932, -3, -1 Sort 1.1, 7, 4/5, -4, 0. -4, 0, 4/5, 1.1, 7 Sort -4, 17, 1672 in decreasing order. 1672, 17, -4 Sort 4, -5, 3, -4, -2, -2903 in descending order. 4, 3, -2, -4, -5, -2903 Put 0.2, 3, 0.1, -0.4, -0.655 in decreasing order. 3, 0.2, 0.1, -0.4, -0.655 Sort 18/13, -2/21, 2 in ascending order. -2/21, 18/13, 2 Put 1/1719, 1, 5, -5 in ascending order. -5, 1/1719, 1, 5 Sort 3, 6742, 14, 4 in decreasing order. 6742, 14, 4, 3 Put 5, -2/1075, -2/13 in decreasing order. 5, -2/1075, -2/13 Sort -1.4, -1, -0.09, -0.26. -1.4, -1, -0.26, -0.09 Sort -3/11, 3, -438, -2/7, 0 in decreasing order. 3, 0, -3/11, -2/7, -438 Sort -4, -5, -3, 5, -57 in decreasing order. 5, -3, -4, -5, -57 Put -5, 126, 4, 67 in increasing order. -5, 4, 67, 126 Put -1016, 10, 184 in ascending order. -1016, 10, 184 Sort 0, -62, 89. -62, 0, 89 Sort -0.3, -2, -3, 2/25, 70, 3 in increasing order. -3, -2, -0.3, 2/25, 3, 70 Put 28, -5, -34, 2/13, -1 in decreasing order. 28, 2/13, -1, -5, -34 Sort -10/7, -2, -10, 0.07, -4, 2. -10, -4, -2, -10/7, 0.07, 2 Sort 77, 1, 14, 0, 5. 0, 1, 5, 14, 77 Put 3324, -4, -5, 2 in decreasing order. 3324, 2, -4, -5 Put 4, 0.2, -0.04, 0 in descending order. 4, 0.2, 0, -0.04 Sort 1/8, 1/3, 1/6, -10, 9 in descending order. 9, 1/3, 1/6, 1/8, -10 Sort 5, -1, 7, -13956 in increasing order. -13956, -1, 5, 7 Sort -318, -3, -29, 0, 3, 2 in descending order. 3, 2, 0, -3, -29, -318 Put 7, -5, -1, 1, 5, 21 in increasing order. -5, -1, 1, 5, 7, 21 Put -2, 3, 24, 4, -107 in ascending order. -107, -2, 3, 4, 24 Sort 2, -0.1, -30, 14.8. -30, -0.1, 2, 14.8 Put 1313, 5, -3, -4, 1, -5 in increasing order. -5, -4, -3, 1, 5, 1313 Sort 3115, 32, -3, 2 in increasing order. -3, 2, 32, 3115 Sort -13, -4, 1, -2, 5, 327 in decreasing order. 327, 5, 1, -2, -4, -13 Sort -4/9, 3, -1.56, -5/2, 0.1, -3 in descending order. 3, 0.1, -4/9, -1.56, -5/2, -3 Sort -60, -5922, 2 in decreasing order. 2, -60, -5922 Sort 3, -0.068, -2/3, -524, 0.4. -524, -2/3, -0.068, 0.4
{ "pile_set_name": "DM Mathematics" }
e 21*b - 137 = -5*r, 4*b + 9 + 11 + 6 = 4*b + 4*b + r for b. 7 Solve 47*m - 33*m - 212 = -4*w, 3*w - 17 - 37 = -3*m for m. 14 Solve -5*g - 83*l + 85*l = -138 + 156, -5*l = -4*g - g - 30 for g. -2 Solve -d - 5*v + 6 = 0, 0*d - 4*d - 23*v = -27 for d. 1 Solve -5*s - 918*c = -913*c - 25, 5*s = 4*c - 29 for s. -1 Solve -5*j - j + j + 9*v = 0, -11*v - 11*v + 18*v = -4*j for j. 0 Solve 5*i + 44 = 22877*q - 22880*q, 3*i + 20 = -2*q + i for q. -3 Solve 0 = -7*x + 23 + 8 - 59, 12 = 4*l - 4*x for l. -1 Solve 6677*w = -3*p + 6678*w - 2, -w - 14 = p for p. -4 Solve -w = -31*u + 32*u - 8, 66 = 94*w - 4*u for w. 1 Solve -5*q - f + 0*f - 32 = -2*f, 5*q + 5*f - 157 = -117 for q. -4 Solve m + 4*z = 8, -4*m - 630 = 3*z - 649 for m. 4 Solve 2*p - 8*z + 7 + 5 + 2 = -6 + 12, 3*z - 12 = 0 for p. 12 Solve -4042*s + 54 = -4043*s + 12*w, 1 - 29 = 2*s - 4*w for s. -6 Solve -10*i + 4*i + 17*p - 13*p = -4*i - 4*i + 82, 969 = 3*i + 53*p for i. 5 Solve -3*y - 17 = 5*z, 2212*y - 2214*y = 4*z + 14 for y. 1 Solve -4*o + 9*y = -12*o - 212, 4*o - 9*o - 2 = -4*o - 5*y for o. -22 Solve 4*v + 8 = 0, -2*l + 0*v + 4*v = -131 + 39 for l. 42 Solve 393 = r + 4*r - 9*h + 458, 2*r + 9*h = 37 for r. -4 Solve 4*p - w + 20 = 0, p + 505 = w + 494 for p. -3 Solve 3*d = -l - 43, -56*l + 58*l + 68*d = -954 for l. -1 Solve -4*q - 4 = o + 3*o, 0*q + 427 = 141*o - q for o. 3 Solve -f = -3*c - 7, -15*f - 235 = -3*c - 499 + 243 for c. -2 Solve -4*o - 16 = 4*k, 3*k = -49415*o + 49414*o - 8 for k. -2 Solve 2*t = -i + 87 - 90, -i + 2*t - 23 = 0 for i. -13 Solve 3*j - 13855 = 36*c - 15091, 0 = -2*j - 8 for c. 34 Solve 0 = -5*x - 8*h - 70, 45*x + 41*x - 83*x + 2*h + 28 = 0 for x. -6 Solve -3*d + 8*v = 2727472 - 2727376, 0 = -3*d + 5*v - 60 for d. 0 Solve t = 3*d + 1, 6*t + 3959 - 3921 = -4*d for d. -2 Solve -3*l - l = 2*n + 9167 - 9131, n = 4*l + 6 for n. -10 Solve -982272*v + 982275*v - 4*h + 24 = 0, -1 = -5*v - 7*h for v. -4 Solve -252*h + 247*h + 797 = -12*p, 0 = -3*p + 2*h - 200 for p. -66 Solve 0 = 5*c - 14*p - 258, 21*c + 5*p = 20*c - 81 for c. 4 Solve 3*d - 5 + 2 = 4*d, s + 468*d = 465*d - 5 for s. 4 Solve 45*o - 47*o + 8*w + 1 = 9*w, 1 = -o - w for o. 2 Solve -5*v - 3509*p + 3508*p = -199, -175 = -5*v + 5*p for v. 39 Solve 3*f - 3 = 5*r - 0, 30*r - 72*r = 10*f - 38*r + 52 for f. -4 Solve -3*c + 4*k + 57 = 0, -17563*k + 17578*k = -5*c - 165 for c. 3 Solve 8*j + 3*x - 27 = -0*x + 5, -3*x = 4*j - 52 for j. -5 Solve 10*v + 29 = 5*v - 11*k + 10*k, 0*v + v + 2*k = -22 for v. -4 Solve -4*o = 3*f - 1, -2844*o + 2860*o = -2*f - 26 for f. 3 Solve -5*v + 115 = -317*s + 321*s, 34*v - 651 = -s for s. 5 Solve 7*c - 2*d = 538 + 1, -2*d + 308 = 648*c - 644*c for c. 77 Solve 0 = 3*b + 6*c - 59269 + 59224, -4*b + 64 = 4*c for b. 17 Solve -1039*x = c - 1047*x + 323, -3*c - 324*x = -13299 for c. 5 Solve -793*v + 794*v - 34 = 4*i, -5*v = 14*i + 102 for v. 2 Solve 7*r + 53 = s, 66*s + r - 414 - 1232 = -0*r for s. 25 Solve -x - 2*w = -6, -234*x + 232*x + 136*w + 572 = 0 for x. 14 Solve -47780*v + 47775*v = -2*t - 162, 6*v = -3*t + 189 for v. 32 Solve -3*l - 53*p + 121 = -141, 4*l + 1003*p = 1004*p - 9 for l. -1 Solve 2*q = -2*i - 8, 38 = -5*i + 141282*q - 141278*q for i. -6 Solve -5*q + 5*k = 105, 4*k - 2372 = 35*q - 2195 for q. -3 Solve -628*o + 626*o + 28 = -y, -7*o + 4*y + 109 = 0 for o. 3 Solve 283*y + 132 = 596*y - 317*y, 129 = 3*a - 4*y for a. -1 Solve 18*w - 9*k - 704 + 668 = 0, k + 10 = -4*w - 0*k for w. -1 Solve 1592*p - 1587*p + 377 = 47*z, 5*p + 2*z = -328 for p. -66 Solve -12 = -8*m + 6*n - 7*n - 64, -4 = 7*m - 2*n + 19 + 11 for m. -6 Solve 0 = 2*t - x + 2, 2*t - 35228*x = -35226*x + 4 for t. -4 Solve 0 = -29*k + 24*k + 3*v - 12, 5*k - v - 24 = -18 for k. 3 Solve 8*y - 12*y - 4*r = -72, -y + 1718 = 66*r + 35*r for y. 1 Solve -2397*a = -2400*a + 12, -2*o + 5*a - 10 = -a for o. 7 Solve 6*l + 869 = -26*s + 9*l - 8*l, 2*s + l + 65 = 0 for s. -34 Solve 281*v - 5*r + 587 = 0, 121*r - 20 = 117*r for v. -2 Solve -3*t - 18*y + 155 = 11*y - 22*y + 41, -y = -5*t for t. 3 Solve 69 = 3*n - 3*s, -46401*s = 5*n - 46399*s + 60 for n. -2 Solve 4*n - 2757*y + 2762*y - 35 = 0, -161 = -4*n - 23*y for n. 0 Solve 4*c + 28 = 11*l, -7*l - 4 = 5*l - 14*l + 11*c - 10*c for l. 4 Solve -198*j - 470 = -228*j - 4*r, j + 2*j - r = 30 + 10 for j. 15 Solve -d - 4 = -p, -d - 1050 = -5*p - 1042 for p. 1 Solve -7*o = 2*s - 2*o + 175, -5*o = 32*s + 325 for s. -5 Solve 55 - 174 = 5*s - n + 101, -40*n - 425 = 5*s for s. -45 Solve 4*d - 188 = 139*q + 150*q - 299*q, -5*d + 25 = 2*q for q. 20 Solve 715 = 5*a + 25*g, -104*a + g - 23 = -107*a for a. -2 Solve -5*b + 125 = 4*y, -43 = 910*y - 906*y - 3*b for y. 5 Solve -20*s + 355 = -316*a + 311*a, 0 = -5*s - 11*a + 101 for s. 18 Solve 2*g = -5*m - 2*g + 24, -4*m - 462*g + 470*g - 104 = 0 for m. -4 Solve 32*o - 100243*z - 318 = -100241*z, 3*o - 5*z - 25 = 0 for o. 10 Solve 2*n - 9*k + 1280512 - 1280351 = 0, -n - 2*k + 30 = 0 for n. -4 Solve 40 + 4 = -5*r + 4*n, 6*n - 425 + 389 = 0 for r. -4 Solve 3*j - m + 27 = 82, m - 866 = -10*j - 661 for j. 20 Solve 4*h = 3*a + 63, -639169*h + 639165*h = 3*a + 63 for a. -21 Solve -557*n - 24 = -3*p - 578*n, 2*p + 3*n = -17 for p. -13 Solve -3*q + 8*w = 4*w + 211 + 129, 5*w - 676 = 5*q - 3*w for q. -4 Solve 0 = 8*k - 2*u + 2916 - 2974, 5*u + 105 = -2*k + 4 for k. 2 Solve -i = 5*h - 74, 90*i + h - 17 = 92*i for i. -1 Solve -19*v = -3*u - 92, -2*v + 12*u = 13*u + 3 + 11 for v. 2 Solve -4*o - 11313*h + 11317*h = -36, 0 = -4*o - 2*h + 6 for o. 4 Solve -12 - 35 = -y - n, 4*y = -1014*n + 1019*n - 217 for y. 2 Solve -p - 63 - 28 = -19*u, -204*p + 63 = -3*u - 209*p for u. 4 Solve 6322*k = 6324*k - 8*a - 2, -k = 5*a + 8 for k. -3 Solve -5*f - 1765*z + 1764*z - 18 = 0, -8*f + 5*z = -16*f + 10*f - 90 for f. 0 Solve 5*t + 6*c - 8 = 0, 2*t - 4414*c + 4417*c - 2 = 0 for t. 4 Solve -4*x = 12*h + 72, -117*h = -112*h + x + 30 for h. -6 Solve -n = 6*w + 39, -4*n + w - 1336 + 2331 = 1201 for n. -51 Solve 93 = -5*x + q, 10*x + 73 = 12*x - 2*q + 61 + 46 for x. -19 Solve 5*z - 72 = 36*g - 40*g, 0 = 4*z - 16 for g. 13 Solve -4*y + 24*k = 584, 2*k - 16 - 5 + 13 - 23 = 19 for y. 4 Solve -5*a + 9 + 86 - 11 = -3*t - t, -4*a + 3*t = -67 for a. 16 Solve 12410*v - 12414*v + 3*y + 74 = 0, -y = -2*v + 26 for v. 2 Solve -3*w + 49 = 5*j - 58 - 40 + 39, 2*j = 42 for w. 1 Solve i = i + 86*u, 0*i + 4*u = -6*i + u - 504 for i. -84 Solve 23*t - 10*i - 5*i - 115 = i, -2*i - 10 = -2*t - 3*i for t. 5 Solve 4*x + 127422*l = 127419*l - 12, -2*x + l = -4 for x. 0 Solve 5*r = 5, -77*y + 159*r - 185 = 68*y - 209*y + 68*y - 22*r for y. -1 Solve 8*q - 15 = -5*m + 20, 3*m - 1783*q - 1778*q + 3560*q - 21 = 0 for m. 7 Solve -10*u - 11 = -5*i + 14, 74*i - 20*i - 11 = 3*u + 56*i for u. -3 Solve -3*o - 84 = -4*p, 0 = -14312*p + 14329*p - 306 for o. -4 Solve 34 - 106 - 18 + 17 = -4*r + 83, -12*q + 5*r = 147 for q. 4 Solve 0 = 112*g - 117*g + 5*b - 65, 4*b - 7*b = g - 0*b - 39 for g. 0 Solve 11779*m - 1 = 11781*m + d, 5*d - 2 - 2 = 2*m + 3*d for m. -1 Solve -2*n + 59 = 2*h + 3*n + 126, -5*h - 80 = -7*n + 2*n for h. -21 Solve -9*h - 4*x = -20, h - 41*x - 48 = 120 for h. 4 Solve 2*y - 49*i - 40 = -45*i, 5*y - 7*i + 5*i = 4 for y. -4 Solve -2*n - 42 = 2*x, -9*n - 7*n - 5*x - 19500 + 19406 = 0 for n. 1 Solve 21*g - 4*z + z - 90 = 0, -14 = -2*g - 499*z + 502*z for g. 4 Solve 5*j + 6898 = 4*t + 6818, -j + t = 19 for j. -4 Solve 2*f - 2 = -2*f - 65*k - 78, -2*f = -2*k - 100 for f. 46 Solve -5*m + 5 = -4*i, 5*i + 2593 = -3*m + 2559 for m. -3 Solve 75*p - 163*p + 81*p - 3*n + n = 86, -n = 5*p + 61 for p. -12 Solve -5*z - z + z + 8*f = 111, 4247*z + 2*f = 4244*z - 3*f + 100 for z. 5 Solve 161*x - 193 = 158*x - 5*r, 1743 = -5*x + 46*r for x. 1 Solve -12 = -4*b, -3*g - 265396*b + 9 = -265398*b for g. 5 Solve 1096*f - 1093*f - 117 = 3*s, -20*f = 3*s - 711 for f. 36 Solve 2*b + 8 = 5*m, -4*b + 5*b = 5*m + 38606 - 38620 for b. 6 Solve -3*b - 243 + 258 = 4*c, 15*b - 3*c + 24 = 5*b - 4*c for b. -3 Solve -10*u - 2*i = -34, -872*u - i = -870*u - 5 for u. 4 Solve -3 = 3*w - 6*d, 5*d = -3*w + 4631 - 4645 for w. -3 Solve 6*n + 4*k = 54, 5*n + 87*k = 41*k + 49*k - 31 for n. 1 Solve 6 = -3*a + 8092*h - 8091*h, -3*h + 8 = -4*a for a. -2 Solve -43*s + 40*s = 5*b, s + 23*b + 40 = 104 for s. -5 Solve 0 = 2*f + 3*g + 4, 17446*f + 5 = 17443*f - 4*g
{ "pile_set_name": "DM Mathematics" }