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pile-dm_mathematics

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- 15379*r**2 + 30777*r**2. 19*r**2 Collect the terms in -3*i - 391 + 12*i - 8*i. i - 391 Collect the terms in -5*v + 1938*v**2 + 3*v + 3918*v**2 - 13 + 4. 5856*v**2 - 2*v - 9 Collect the terms in -835*x + 3053*x - 842*x - 1379*x. -3*x Collect the terms in -12312 + 3*n - n - 12312 + 24624. 2*n Collect the terms in 7*d**3 - 77*d**3 + 2*d**2 + 505*d - 4*d**2 - 505*d. -70*d**3 - 2*d**2 Collect the terms in -82 + 285 + 250*m - 252*m. -2*m + 203 Collect the terms in 329666 + 2*h**2 - 329666. 2*h**2 Collect the terms in 31*q**3 + 1858 - 1858 - 29*q**2 + 29*q**2. 31*q**3 Collect the terms in 6908*p + 3117*p - 2390*p. 7635*p Collect the terms in 107*r - 218*r + 109*r + 327*r**3. 327*r**3 - 2*r Collect the terms in -697*b**3 + 239*b**3 + 229*b**3 - 14*b**2 + 14*b**2 + 228*b**3. -b**3 Collect the terms in -381*o**2 + 47 - 35 - 12. -381*o**2 Collect the terms in -178*r**2 + 160*r**2 + 492*r**2. 474*r**2 Collect the terms in -2680*x**2 + 2*x**3 - 829*x**2 - 953*x**2. 2*x**3 - 4462*x**2 Collect the terms in -61*n**2 - 60*n**2 + 10*n**3 - 43*n**2 + 164*n**2. 10*n**3 Collect the terms in 69*t - 66*t - 32*t. -29*t Collect the terms in 3 - 2*l**3 - 5 - 23*l**2 - 5 + 7. -2*l**3 - 23*l**2 Collect the terms in 5*f**3 - 16227 + 16227 + 8*f. 5*f**3 + 8*f Collect the terms in -160*q**2 - 84*q**2 - 128*q**2 - 33*q**2. -405*q**2 Collect the terms in 181285*f**3 + 503463*f**3 - 47279*f**3. 637469*f**3 Collect the terms in 2010*n**2 - 3990*n**2 + 1979*n**2. -n**2 Collect the terms in 1207*n**3 - 2449*n**3 + 1251*n**3. 9*n**3 Collect the terms in -1621 + 829 + 792 - 2*l**3. -2*l**3 Collect the terms in 21171 - 3*y**3 + 4*y**3 + 78*y**2 - 21171. y**3 + 78*y**2 Collect the terms in -19*u**3 + 2*u - 16224*u**2 - 2*u + 16226*u**2. -19*u**3 + 2*u**2 Collect the terms in 4102 - 2*k**3 + 0*k**3 - 4102 - 66*k. -2*k**3 - 66*k Collect the terms in 499*r + 5616*r - 3488*r + 6046*r. 8673*r Collect the terms in 11108*b - 11108*b + 3*b**3 + 3*b**3. 6*b**3 Collect the terms in -56792685*w**2 - 56792684*w**2 + 113585371*w**2. 2*w**2 Collect the terms in 2396*c**2 - 2468*c**2 + 0 + 3*c**3 + 0 + c**3. 4*c**3 - 72*c**2 Collect the terms in 1 - 257*t**3 - 175*t + 175*t + 15*t**3. -242*t**3 + 1 Collect the terms in -39*w**2 - 56*w**2 - 42*w**2 + 170*w**2 - 43*w**2. -10*w**2 Collect the terms in 3562*r**3 + 3374*r**3 - 813*r**3. 6123*r**3 Collect the terms in -26*c**3 + 14574*c - 14574*c - c**3 - 4. -27*c**3 - 4 Collect the terms in 111*l**2 - 5*l + 6*l + 0*l + 92*l**2. 203*l**2 + l Collect the terms in 82*l**3 - 242*l**3 + 74*l**3 + 83*l**3. -3*l**3 Collect the terms in 206*h + 79 - 402*h + 205*h. 9*h + 79 Collect the terms in -211*v**3 + 424*v**3 + 6 - 211*v**3 - 4 - 2. 2*v**3 Collect the terms in 11*l - 16*l + 5*l + 52*l**2 + 834*l**2. 886*l**2 Collect the terms in -119*a - 127*a + 633*a - 384*a. 3*a Collect the terms in 3*u**2 - 51*u**2 - 56*u**2 - 46*u**2 + 38*u**2. -112*u**2 Collect the terms in 12733 - 12733 - 52*a. -52*a Collect the terms in 68 + 13*o + 54 - 30*o - 121. -17*o + 1 Collect the terms in -54*p - 10 - 46*p**3 - 157*p**3 + 55*p - 5*p**3. -208*p**3 + p - 10 Collect the terms in 15*q - 4*q + 17*q + 3 - 10 - 30*q. -2*q - 7 Collect the terms in f + 184 - 4 - 180. f Collect the terms in -13276*b**3 + 13267*b**3 - 83*b**2 + 0*b + 325*b**2 + 0*b. -9*b**3 + 242*b**2 Collect the terms in -v + 0*v + 27*v**3 + 1071*v**3. 1098*v**3 - v Collect the terms in -225462*p**2 + 112689*p**2 + 112775*p**2. 2*p**2 Collect the terms in -61496*j**3 + 30747*j**3 + 30753*j**3. 4*j**3 Collect the terms in 34*d**2 + 146*d**2 - 231*d**2 + 19*d**2. -32*d**2 Collect the terms in -56*p + 142*p - p**2 - 86*p. -p**2 Collect the terms in 7*y**3 - y**3 - 5 - 22*y - 8*y**3. -2*y**3 - 22*y - 5 Collect the terms in 53*v - 102*v - 24*v + 33*v. -40*v Collect the terms in -21 + 13 - 1499*f + 11. -1499*f + 3 Collect the terms in 9737 + o**2 - 9737 + 5*o. o**2 + 5*o Collect the terms in -71*p - 27459 - 16*p + 27459. -87*p Collect the terms in 84*f**2 + 137027*f - 43*f**2 - 137027*f - 38*f**2. 3*f**2 Collect the terms in 16*z + 18*z + 14*z + 10*z - 79*z + 24*z. 3*z Collect the terms in -43*k - 82*k + 120*k. -5*k Collect the terms in 30*q - 18*q + 3 - 3 - 23*q. -11*q Collect the terms in -2496*k - 2*k**2 + 0*k**2 + 809*k + 843*k + 844*k. -2*k**2 Collect the terms in -75*m**3 - 914*m**2 + 462*m**2 + 452*m**2. -75*m**3 Collect the terms in 671 - 8292*b - 671. -8292*b Collect the terms in 64 - 125 + 61 + 14359*c. 14359*c Collect the terms in -4*d**3 + 0*d**2 + 10364*d - 10364*d + 0*d**2. -4*d**3 Collect the terms in -17844 + 17844 - 3*h. -3*h Collect the terms in 94*a**3 - 91*a**3 - 941 + 941. 3*a**3 Collect the terms in 0*a + 0*a - 15129*a**3 + 177 + 15132*a**3. 3*a**3 + 177 Collect the terms in 138*r**2 - 11*r**2 + 67*r**2 - 26*r**2. 168*r**2 Collect the terms in 6*p**2 + 51*p - 19*p**2 + 8*p. -13*p**2 + 59*p Collect the terms in -107*z**2 - 23*z**2 + 30*z**2. -100*z**2 Collect the terms in 161172*p - 161172*p + 3*p**3. 3*p**3 Collect the terms in 2603*c - 5224*c + 2649*c. 28*c Collect the terms in -161*k + 206*k + 154*k. 199*k Collect the terms in -107 + 107 - 2*m + 259*m. 257*m Collect the terms in 661*o**2 - 457*o**2 - 204*o**2 + 2*o**3. 2*o**3 Collect the terms in -131*n**3 + 252*n**3 - 269*n**3 - 116*n**3. -264*n**3 Collect the terms in -545*m + 545*m - 18916*m**2 - 4996*m**2. -23912*m**2 Collect the terms in 13707*o**2 - 6853*o**2 - 6868*o**2. -14*o**2 Collect the terms in 5 - 3*n - 2 + 188*n**2 - 1 + 713*n**2. 901*n**2 - 3*n + 2 Collect the terms in -104*y**3 + 44*y**3 + 37*y**3 + 41*y**3 - 31*y**3. -13*y**3 Collect the terms in -6 - 7 - 1798*a**3 + 13. -1798*a**3 Collect the terms in -6*j**2 - 34*j**2 + 52*j**2 - 10*j**2 - 27*j**2. -25*j**2 Collect the terms in 49 - 16 + 8 - 11 - l - 30. -l Collect the terms in 266080 + 266082 - 532162 + 44*u. 44*u Collect the terms in -3544*k**3 + 3 - 2 + 3697*k**3 - 1. 153*k**3 Collect the terms in 2*f - 5482*f**2 - 3477*f**2 - 2*f. -8959*f**2 Collect the terms in -14*r**2 + 135*r**3 + 14*r**2 + 485 - 484. 135*r**3 + 1 Collect the terms in -13231 + 13231 + 2005*x**3 - 2000*x**3. 5*x**3 Collect the terms in 870*m**2 - 450*m**2 - 431*m**2. -11*m**2 Collect the terms in 8540 + 13*q**3 - 8540 + 417*q**3. 430*q**3 Collect the terms in 10487*j**2 - 5197*j**2 - 5189*j**2. 101*j**2 Collect the terms in -122 + 127*a + 3 - 128*a. -a - 119 Collect the terms in -2961*v**2 - 946*v**2 + 1585*v**2 - 1538*v**2. -3860*v**2 Collect the terms in -3 - 16088*o - 1 + 4. -16088*o Collect the terms in 37 + 4730 - 142*j**2 + 143*j**2. j**2 + 4767 Collect the terms in -286*n + 60*n - 261*n. -487*n Collect the terms in 1 - 11365*g**2 - 1. -11365*g**2 Collect the terms in -33*i**2 + 4*i + 95*i**2 - 4*i - 53*i**2. 9*i**2 Collect the terms in -33*o**2 - 897*o**2 + 335*o**2 + 280*o**2. -315*o**2 Collect the terms in -38*b - 2 + 85*b + 792*b + 1002*b. 1841*b - 2 Collect the terms in -5*o**2 - o**2 + 4*o**2 - 20*o**3 + 5*o**3. -15*o**3 - 2*o**2 Collect the terms in -26 - 6 + 32 - 23*z. -23*z Collect the terms in -1394 + 8*w + 706 + 697. 8*w + 9 Collect the terms in 38*a + 119*a - 158*a + 72*a + 54*a. 125*a Collect the terms in 2*q - 7 + 6*q - 4*q - 4*q + 6*q**2. 6*q**2 - 7 Collect the terms in -5362*v + 27*v**2 + 5362*v - 6*v**2. 21*v**2 Collect the terms in -11*b**2 - 17*b**2 + 43*b**2 - 17*b**2 - 9*b**2. -11*b**2 Collect the terms in 38 - 46 - 4*s + 3*s. -s - 8 Collect the terms in 18*f**3 - 12*f**2 - 48*f**3 - 20*f**3. -50*f**3 - 12*f**2 Collect the terms in -7*v + 5*v - 11683*v**2 + v + v. -11683*v**2 Collect the terms in 2*r**2 + 40*r**3 - r**2 + 13661*r - 13661*r. 40*r**3 + r**2 Collect the terms in 0 - 37*v + 7*v + 14 - 12*v. -42*v + 14 Collect the terms in -34*q - 78*q - 13*q - 9*q - 16. -134*q - 16 Collect the terms in -114615446*o**2 + 114615446*o**2 - 13*o + 2*o**3 + 13*o. 2*o**3 Collect the terms in x - 232 + x + 0*x + 232. 2*x Collect the terms in -1336*n**2 + 1 - 753*n**2 - 4 + 5. -2089*n**2 + 2 Collect the terms in -1 - 620218*l + 620218*l + 20*l**2. 20*l**2 - 1 Collect the terms in 2 + 20140*t - 2 + 20113*t - 40256*t. -3*t Collect the terms in -1120*x**2 - 2177*x**2 + 292*x**2. -3005*x**2 Collect the terms in -29 - 2*a - 25 + 25 - 18 - 13. -2*a - 60 Collect the terms in 24*b + 0 + 0 + 28*b
{ "pile_set_name": "DM Mathematics" }
. Let m be s(12). Let u be 39*m/(-21) - 10/(-35). Find the third derivative of 87*n**4 - 57*n**4 - 65*n**u + 4*n**2 wrt n. -840*n Let o(a) = 192*a**2 - 217*a - 2. Let y(v) = 249*v + 1 + 241*v - 491*v - v**2. Let h(k) = o(k) + 2*y(k). Find the second derivative of h(b) wrt b. 380 Let g(s) be the third derivative of s**5/30 - 9*s**4/2 + 40*s**3/3 + 61*s**2. Differentiate g(i) with respect to i. 4*i - 108 Let k(n) be the first derivative of -303/2*n**2 + 134 - 233*n. What is the first derivative of k(p) wrt p? -303 What is the second derivative of 144*t**5 - 842*t + 121*t**2 - 121*t**2 - 571*t**5 wrt t? -8540*t**3 Let n(o) be the second derivative of 55*o**8/14 + o**4/6 + 49*o**3/2 - 3*o**2 - 413*o - 2. Find the third derivative of n(r) wrt r. 26400*r**3 Let b(a) = 105*a**2 + 5 + 28 + 172 - 291*a**2 - 5*a + 31. Let o(p) = 560*p**2 + 14*p - 708. Let y(k) = 14*b(k) + 5*o(k). Differentiate y(q) wrt q. 392*q Let h(p) be the third derivative of -119*p**6/120 + 965*p**4/4 - 1841*p**2 - 2. What is the second derivative of h(x) wrt x? -714*x Suppose -3*q + 21 = 6. Suppose -q*a + 155 = -5*x, -2*a + 4*a = 3*x + 65. What is the first derivative of -20*g**3 - 15*g**3 + a + 4*g**3 wrt g? -93*g**2 What is the second derivative of 70481 + 2*o + 62*o**3 + 70*o**2 - 76241 + 21*o**3 wrt o? 498*o + 140 Let q(s) be the first derivative of -5*s**4/3 - 58*s**3/3 + 111*s**2/2 + 89. Let m(u) be the second derivative of q(u). Differentiate m(a) wrt a. -40 Let b(p) = p**3 + 3*p**2 - 15*p - 6. Let x be b(3). What is the third derivative of -29*n**3 + 79 + 36 + 69*n**x + n**2 wrt n? 240 Let v(g) = -5*g + 14. Let h be v(2). Suppose 0 = -z - 6*u + h*u + 13, 2 = -2*u. Find the second derivative of 9*j + z*j + 44*j**3 - 6*j - j wrt j. 264*j Let j(x) be the second derivative of 693*x**4/4 + 135*x**3/2 + 3*x**2/2 + 2*x - 1340. What is the second derivative of j(v) wrt v? 4158 Let m(u) be the second derivative of 8053*u**5/20 - 2185*u**3/6 + 155*u. What is the second derivative of m(p) wrt p? 48318*p Let n = -334 + 338. Find the third derivative of -2*x**3 + 3*x - 4*x + 5*x - 94*x**4 + 7*x**2 - 16*x**n wrt x. -2640*x - 12 Let i(l) be the first derivative of -72 + l + 1/5*l**5 + 11*l**3 + 0*l**2 - 1/2*l**4. What is the third derivative of i(h) wrt h? 24*h - 12 Suppose -3*u = 3, -2*u + 9 = -a + 13. Find the first derivative of 4*f**2 - 49 + 2*f**a - 38 wrt f. 12*f Let k(b) be the first derivative of 0*b + 11*b**3 + 0*b**2 - 2/7*b**7 + 0*b**5 + 0*b**4 + 7 - 1/3*b**6. What is the third derivative of k(a) wrt a? -240*a**3 - 120*a**2 Let y(u) be the third derivative of 19/336*u**8 + 0*u**7 - u**2 + 28 + 0*u**6 + 0*u**5 + 1/3*u**3 - 65/12*u**4 + 0*u. Find the second derivative of y(z) wrt z. 380*z**3 Let y(k) be the third derivative of -1357*k**8/168 - 2479*k**4/24 - 2824*k**2. What is the second derivative of y(x) wrt x? -54280*x**3 Let i(x) be the second derivative of -1 - 92*x**2 + 104*x - 47/3*x**3. What is the derivative of i(j) wrt j? -94 Let u(w) = -44*w - 7 + 98*w + 150*w**3 - 54*w - 6*w**2 - 27*w. Let o(c) = c**3 + c**2 + 1. Let b(a) = -6*o(a) - u(a). Find the second derivative of b(k) wrt k. -936*k Let g(i) = 11*i**2 - 2*i + 2. Let x be g(1). What is the third derivative of -29*r**2 + 58*r**4 - x*r**2 - 3*r + 41*r**2 wrt r? 1392*r Let f(w) = -2*w + 17. Let t be f(6). What is the third derivative of -7*q**2 + 13 - q**4 + 35*q**t - 13 - 18*q**2 wrt q? 2100*q**2 - 24*q Let l(q) = -2182*q**3 - 23*q**2 - 3*q + 73. Let r(b) = -2182*b**3 - 21*b**2 - 4*b + 74. Let c(f) = 5*l(f) - 4*r(f). Find the third derivative of c(n) wrt n. -13092 What is the third derivative of 0*c**3 - 692*c**4 + 2*c**3 + 71*c**2 + 88*c**4 - 61*c**2 wrt c? -14496*c + 12 Let n(w) be the first derivative of 111*w**6/2 - 3*w**5/5 - 2*w**3/3 + 3*w**2 + 47*w - 4945. Find the third derivative of n(d) wrt d. 19980*d**2 - 72*d Let c(m) = 2122*m**2 + 5*m - 1376. Let z(x) = -13780*x**2 - 32*x + 8944. Let v(q) = 32*c(q) + 5*z(q). What is the first derivative of v(p) wrt p? -1992*p Let s(p) be the first derivative of -693*p**4 + 309*p**2/2 - 13*p + 8518. Find the second derivative of s(x) wrt x. -16632*x Find the second derivative of 341*f**5 + 979*f + 880*f**5 + 525*f**5 wrt f. 34920*f**3 Let l be ((-2)/(-4))/((-13)/(-4368)). Find the third derivative of -y**4 - l*y**6 - 32*y**2 + 24*y**6 + y**4 - 126*y**2 wrt y. -17280*y**3 Suppose 10 = 9*b - 4*b. Find the third derivative of f**3 + 16*f**3 + 12*f**4 + 109*f**b - 21*f**3 wrt f. 288*f - 24 Let t(l) = 2691*l + 6141. Let q(n) = 5383*n + 12302. Let s(f) = 6*q(f) - 11*t(f). What is the first derivative of s(v) wrt v? 2697 Suppose -6*a - 14 = -26. What is the second derivative of 30*o - 5*o**2 + 56*o + 3*o**2 + 0*o**a - 5*o**3 + 95*o**3 wrt o? 540*o - 4 What is the second derivative of 15*l**4 + 1140 - 1159 + 90*l**5 - 67*l + 133*l**5 - 30*l**4 wrt l? 4460*l**3 - 180*l**2 Find the third derivative of 414*l**4 + 1145*l**4 - 2428*l**2 + 604*l**4 wrt l. 51912*l Suppose -9*v + 10*v = 6. Suppose v*d + 42 - 54 = 0. Differentiate -52*k**3 + 18*k**d + 36 - 18*k**2 + 0*k**2 wrt k. -156*k**2 Let l(x) = 2*x - 4. Let r be l(5). Suppose 14*h - r = 12*h. Find the third derivative of -h*u**5 + 0*u**5 - 12*u**5 - 9*u**2 - 6*u**2 wrt u. -900*u**2 Let z = -13 + 20. Let y be (-31514)/(-34) + 18/153. What is the third derivative of z*j**2 + 8*j**3 - y + 3*j**2 + 927 wrt j? 48 Let w(b) = 181*b**3 + 4*b**2 + 2*b - 2796. Let p(u) = 364*u**3 + 10*u**2 + 4*u - 5591. Let d(g) = -2*p(g) + 5*w(g). Differentiate d(y) wrt y. 531*y**2 + 2 Let i(n) = -n**2 - 5*n - 2. Let u be i(-4). Let w be (55/(-15))/((-110)/60). Find the third derivative of -10*f**w - 7*f**2 + 15*f**2 + 22*f**u + 20*f**5 wrt f. 1200*f**2 Differentiate -338 - 309*w - 88 - 301 + 1967*w - 514 with respect to w. 1658 Let u(h) be the first derivative of 0*h - 163/4*h**4 - 169 + 0*h**2 - 103/3*h**3. What is the third derivative of u(z) wrt z? -978 Let i(v) be the third derivative of v**7/105 - 503*v**4/24 + 517*v**3/2 - 620*v**2. Find the first derivative of i(a) wrt a. 8*a**3 - 503 Let s(w) = -14*w**3 + 13*w**2 - 3*w - 6. Let c(i) = -i**2 - i - 2. Let x = 26 + -27. Let t(k) = x*s(k) + 3*c(k). Find the third derivative of t(b) wrt b. 84 Let h(m) = 3*m**3 + 10*m**2 - 10*m - 1. Let k be h(1). Differentiate 264*j**k - 5014 + 2401 + 2419 with respect to j. 528*j What is the third derivative of 0*u + 217843*u**2 + 0*u - 216321*u**2 + 1462*u**4 wrt u? 35088*u Let z(o) = 181*o**2 - 5*o - 2904. Let r(f) = 185*f**2 - 4*f - 2906. Let n(p) = -5*r(p) + 4*z(p). Differentiate n(w) with respect to w. -402*w Let d be (-296)/(-5) + 12/15. Let a = -26 + d. What is the first derivative of 3*h**3 - a - 35 + 60 wrt h? 9*h**2 Find the second derivative of 5 + 1604*l - 64414*l**5 + 64393*l**5 - 5 - 7*l**4 wrt l. -420*l**3 - 84*l**2 Let m(z) = 23*z**3 + 36*z**2 + 37*z + 8. Let s(v) = -44*v**3 - 79*v**2 - 75*v - 15. Let p(w) = 5*m(w) + 2*s(w). Find the second derivative of p(a) wrt a. 162*a + 44 Let j(q) be the second derivative of 613*q**6/15 - 587*q**3/6 + 5*q + 107. What is the second derivative of j(u) wrt u? 14712*u**2 Let g(c) be the first derivative of 1246*c**5/5 + 1177*c**2/2 - c + 374. What is the second derivative of g(n) wrt n? 14952*n**2 Let k(q) be the third derivative of q**7/210 - 269*q**6/24 - 2671*q**3/6 - 229*q**2 - 1. Differentiate k(x) wrt x. 4*x**3 - 4035*x**2 Find the first derivative of -1101*q + 2169 + 2110*q - 81 + 1883*q wrt q. 2892 Suppose 5*g - 458 = 632. Find the second derivative of -216 + 654 - g + 226*t**2 - 221 - t wrt t. 452 Find the first derivative of -1988*g + 8213 - 4407*g + 1624*g - 2319*g - 1609 wrt g. -7090 What is the second derivative of -2*v**4 - 422 - 404*v**2 + v**4 + 442 - 14*v - 2*v**4 + 4*v**4 wrt v? 12*v**2 - 808 Let v(t) be the first derivative of -7/2*t**2 + 0*t**3 + 175 + 49*t + 3/4*t**4. What is the derivative of v(d) wrt d? 9*d**2 - 7 Let s = 385 + -382. What is the first derivative of 78*n**3 - 152*n**s + 76*n**3 - 2*n - 125 wrt n? 6*n**2 - 2 What is the derivative of -1526*p - 312*p - 812 + 10218 + 3115 - 2080*p wrt p? -3918 Let o be (10 - (10 + -6)) + 107. Find the first derivative of 5*k**2 + 9*k**4 - 5*k**2 - o + 279 wrt k. 36*k**3 Let j(g) be the second derivative of 527*g**5/10 + 667*g**4/6 + 13*g + 36.
{ "pile_set_name": "DM Mathematics" }
j Collect the terms in 6*j**2 - j**2 - 16*j**2 + 6*j**2 + 8*j**2. 3*j**2 Collect the terms in -4 + 3 - 113*a - 5. -113*a - 6 Collect the terms in -10 + 2*b + 4 - 9. 2*b - 15 Collect the terms in 2*c**2 - 5*c + 5*c + 12*c**2 - 31*c**2. -17*c**2 Collect the terms in -450 - 4*r**2 + 899 - 449. -4*r**2 Collect the terms in 16*d**3 - 9*d**3 - 11*d**3 + 0*d**3 + 2*d**3. -2*d**3 Collect the terms in 8*h - h**3 - 19*h + 3*h + 41*h. -h**3 + 33*h Collect the terms in -q**3 - 53*q + 2*q**3 - 7*q**3 + 53*q. -6*q**3 Collect the terms in 55*i**2 - 55*i**2 + 11*i**3. 11*i**3 Collect the terms in 3*o**2 - 26*o**2 - 26*o**2 + 11*o**2. -38*o**2 Collect the terms in -3 + 2 - 5 + 5 - 6*y. -6*y - 1 Collect the terms in -2*i - 3*i + 16*i**3 + 5*i. 16*i**3 Collect the terms in 5*l**2 - 12*l**2 + 10*l**2. 3*l**2 Collect the terms in 4 - 10*p - 6 - 5*p + 3*p. -12*p - 2 Collect the terms in 2*t**2 - 2248 + 2248. 2*t**2 Collect the terms in 5 - 5 + 870*y**2 - 2*y - 211*y**2. 659*y**2 - 2*y Collect the terms in 118 - 118 + 4*z. 4*z Collect the terms in -28*t + 381 - 381 + 28*t + 3*t**2. 3*t**2 Collect the terms in 373*v**3 - 127*v**3 - 135*v**3 - 125*v**3. -14*v**3 Collect the terms in 4*n - 5 + 3 - 22*n + 1. -18*n - 1 Collect the terms in 38*g - 6*g + g. 33*g Collect the terms in -127*v**3 - 155*v**3 + 229*v**3. -53*v**3 Collect the terms in 5*q + 3*q - 3*q - 3*q. 2*q Collect the terms in k**2 + 9*k**2 + 9*k**2 - 21*k**2. -2*k**2 Collect the terms in -3*h**3 + 721*h**2 - 721*h**2 + 4*h**3. h**3 Collect the terms in -3*v - 4*v**2 + 11*v - 9*v. -4*v**2 - v Collect the terms in w - 7*w + w + w. -4*w Collect the terms in 8393*p - 8393*p + 4*p**3. 4*p**3 Collect the terms in 13 - 22 - 4*b**2 + 9. -4*b**2 Collect the terms in 36*o + 67*o - 22*o + 23*o. 104*o Collect the terms in 17 - 17 - 10*n**2. -10*n**2 Collect the terms in 7*p + 5*p - 3*p. 9*p Collect the terms in 3 - 624*m**2 - 3 + 640*m**2. 16*m**2 Collect the terms in -182*d**2 + 738*d**2 + 570*d**2. 1126*d**2 Collect the terms in 0*c**2 - 91*c**3 + 121*c**3 + 0*c**2. 30*c**3 Collect the terms in 36*r + 8 - 8 + 36*r. 72*r Collect the terms in 169*s - 86*s - 83*s - 3*s**3. -3*s**3 Collect the terms in 2*j**2 + 0*j - 12*j**2 + 0*j. -10*j**2 Collect the terms in -12*o - 7 + 7. -12*o Collect the terms in 3*l**2 + 21*l**2 - 15*l**2 - 14*l**2. -5*l**2 Collect the terms in -396*w**3 + 206*w**3 + 217*w**3. 27*w**3 Collect the terms in 16*n - 9*n + 18*n. 25*n Collect the terms in b**3 - 195*b**2 - 217*b**2 + 5*b**3 + 412*b**2. 6*b**3 Collect the terms in -2*q + 35*q**2 - 10*q**2 + 2*q. 25*q**2 Collect the terms in 50*x - 63 + 34 + 29. 50*x Collect the terms in 524*w**2 + w**3 + 0*w**3 - 523*w**2. w**3 + w**2 Collect the terms in 3 - 7 + 4 + 7*i**3. 7*i**3 Collect the terms in -3*r - 2*r + 5*r - 14*r**3. -14*r**3 Collect the terms in 237*o - 6*o**2 - 237*o. -6*o**2 Collect the terms in -8811 + 8811 - 20*c. -20*c Collect the terms in -219*h**3 + 332*h**3 + 287*h**3. 400*h**3 Collect the terms in 10*m + 2*m - 3*m + m. 10*m Collect the terms in -47*v - 56*v + 106*v. 3*v Collect the terms in -376*z**3 - 370*z**3 - 373*z**3 + 1490*z**3 - 365*z**3. 6*z**3 Collect the terms in 79*z**2 + 0 + 98*z**2 + 0. 177*z**2 Collect the terms in 4*z - 28*z + 10*z - 12*z. -26*z Collect the terms in 6*y - 2*y + 18*y + 15 - 5*y. 17*y + 15 Collect the terms in 15*l**2 - 46*l**2 + 16*l**2 + 6*l**2. -9*l**2 Collect the terms in 69*w - 143*w + 67*w. -7*w Collect the terms in 4*n**2 - 7*n**2 + 4*n**2. n**2 Collect the terms in -4*o - 8*o - 15*o. -27*o Collect the terms in 31*h - 2*h - h + 5*h - 29*h. 4*h Collect the terms in -6*u - 8*u + 15*u + u. 2*u Collect the terms in -131*f**2 - 137*f**2 + 2*f**3 - 134*f**2 + 402*f**2. 2*f**3 Collect the terms in -65*h + 56*h + 171*h. 162*h Collect the terms in 17256*q - 17256*q - 2*q**3. -2*q**3 Collect the terms in -8*m**3 - 163 + 163 - 10*m**3. -18*m**3 Collect the terms in 30*y + 34*y - 74*y. -10*y Collect the terms in 0*m**3 - 11*m**3 + 2*m**3 + 0*m**3. -9*m**3 Collect the terms in 44 - 194 + 2*w + 63 - 200. 2*w - 287 Collect the terms in 356*h - 705*h + 350*h. h Collect the terms in 7*b - 10*b + 4*b. b Collect the terms in -1 + 20*v + 1. 20*v Collect the terms in -8*k - 13*k - 9*k. -30*k Collect the terms in 7*v + 0*v - 2*v - v. 4*v Collect the terms in 160*a**2 - 516*a**2 - 477*a**2. -833*a**2 Collect the terms in 2021*r**2 - 20*r**3 + 2025*r**2 - 4046*r**2. -20*r**3 Collect the terms in -157*q + 314*q - 157*q + q**3 - 8. q**3 - 8 Collect the terms in 78*k**3 - 3125*k + 3125*k. 78*k**3 Collect the terms in -58*x + 173*x + 155*x - 22*x. 248*x Collect the terms in 34 + 13*b**2 - 12 - 22. 13*b**2 Collect the terms in 4 - j**2 + 2 + 12*j**3 - 6. 12*j**3 - j**2 Collect the terms in 115*j - 265*j - 439*j - 104*j. -693*j Collect the terms in 1 - 15*z**3 + 12*z**3 - 1. -3*z**3 Collect the terms in 464*q**3 + 5 - 466*q**3 - 5. -2*q**3 Collect the terms in 140*i**2 + 23*i**3 - 140*i**2. 23*i**3 Collect the terms in -157 - 158 - o**3 + 315. -o**3 Collect the terms in -51 - 52 + 103 + 3*h**2. 3*h**2 Collect the terms in -3*f - 9*f - 7*f - f**2. -f**2 - 19*f Collect the terms in -5*z - 6*z**3 + 12*z - 7*z. -6*z**3 Collect the terms in -18*b**3 + 2*b**3 + 5*b**3 + 3*b**3 + 7*b**3. -b**3 Collect the terms in -54*q + 144*q - 44*q - 48*q. -2*q Collect the terms in -2 + 60*c + 2. 60*c Collect the terms in -3 + 3 - 28*m**2. -28*m**2 Collect the terms in -6*d**3 - 4*d + 3*d + d. -6*d**3 Collect the terms in 206*z**3 - 54*z + 54*z. 206*z**3 Collect the terms in 3 - 3 + 23*p. 23*p Collect the terms in -10*u - 13*u + 21*u. -2*u Collect the terms in -179 - 9*r**3 + 179. -9*r**3 Collect the terms in 518*k**2 - k + k - 521*k**2. -3*k**2 Collect the terms in 85*i**3 - 184*i**3 + 92*i**3. -7*i**3 Collect the terms in -4*j - j + j + 0*j. -4*j Collect the terms in -19*s**2 - 17*s**2 + 18*s + 37*s**2 - 18*s. s**2 Collect the terms in -3 + 5 - 16*i**2 - 2. -16*i**2 Collect the terms in -76*t**3 + 88*t**3 - 24*t**3. -12*t**3 Collect the terms in 37*p**3 - 74*p**3 + 36*p**3. -p**3 Collect the terms in 33*k + 48*k - 85*k. -4*k Collect the terms in -18*x**2 + 7*x**2 + 11*x**2 + 77*x**3. 77*x**3 Collect the terms in -26*p - 41*p + 28*p - 27*p. -66*p Collect the terms in -17*n**2 + 24*n**2 + 0*n**2 - 4*n**2. 3*n**2 Collect the terms in 45 - 45 - 8*o - 15*o. -23*o Collect the terms in 176*t - 28*t - 31*t - 115*t. 2*t Collect the terms in 14*v + 23*v - 46*v. -9*v Collect the terms in -2*m**3 - 16*m**3 - 29 + 29. -18*m**3 Collect the terms in -8*c + 8*c - 187*c**3. -187*c**3 Collect the terms in 59*l + 13*l + 10*l + 48*l. 130*l Collect the terms in 0*y**2 - 14*y**2 - 9*y**2 - 3*y**2. -26*y**2 Collect the terms in 2*x - 38*x + 5*x + 8*x + 10*x. -13*x Collect the terms in -7*x**3 + 20*x**3 - 3*x + 3*x. 13*x**3 Collect the terms in 15*h**2 - 16*h**2 + 2*h**2. h**2 Collect the terms in 10*c**3 - 2*c - 63887 + 2*c + 63887. 10*c**3 Collect the terms in 2802*w**3 - 17*w**3 + 5903*w**3. 8688*w**3 Collect the terms in 148*z - 7*z**3 - 71*z - 77*z. -7*z**3 Collect the terms in -9*h + 1 + 2 - 3. -9*h Collect the terms in 4*z**2 + 3*z**3 - 4*z**2. 3*z**3 Collect the terms in 323 - 13*b - 323. -13*b Collect the terms in -2*c**3 + c**3 - 5*c**3 + 5. -6*c**3 + 5 Collect the terms in c**3 + c**3 - 13 - c**3. c**3 - 13 Collect the terms in 8*m**2 + 20*m**2 - 54*m**2 + 12*m**2. -14*m**2 Collect the terms in 274 + 2*h**2 - 274. 2*h**2 Collect the terms in 20*h**3 + 43*h**3 - 13*h**3 + 0*h**3. 50*h**3 Collect the terms in -7*j**3 + 6*j**3 + 6*j**3. 5*j**3 Collect the terms in 211*b**3 + 173*b**3 + 67*b**3. 451*b**3 Collect the terms in 31*a**2 + 32*a**2 - 65*a**2. -2*a**2 Collect the terms in -12*i + 12*i + 0*i - 2*i**3. -2*i**3 Collect the terms in 2 - 188*w - 2. -188*w Collect the terms in -2*q**3 + 46 - 46. -2*q**3 Collect the terms in -7622*s**3 + 7 + 7625*s**3 - 7. 3*s**3 Collect the terms in 4 - 4 - 143*w. -143*w Collect the terms in -18*k**3 + 32*k**3 - 18*k**3. -4*k**3 Collect the terms in -5 - 229*c**3 - 11 + 16 + 2*c. -229*c**3 + 2*c Collect the terms in -13*n - 12*n + 8*n. -17*n Collect the terms in -10*h - h + 13*h. 2*h Collect the terms in b**2 + 3*b**2 + 26*b**2. 30*b**2 Collect the terms in 7*z + 31*z + 1 + 0*z. 38*z + 1 Collect the terms in -39*c + 3
{ "pile_set_name": "DM Mathematics" }
s -211 (base 5) in base 2? -111000 52 (base 12) to base 4 332 What is 14 (base 6) in base 5? 20 Convert 1 (base 10) to base 14. 1 Convert -1b (base 14) to base 3. -221 What is 116 (base 7) in base 8? 76 123 (base 6) to base 15 36 -6 (base 9) to base 11 -6 Convert d2 (base 15) to base 2. 11000101 Convert -140 (base 6) to base 3. -2020 What is c9 (base 16) in base 2? 11001001 What is -14 (base 12) in base 7? -22 What is -10011 (base 3) in base 11? -78 -20 (base 6) to base 4 -30 What is -15 (base 6) in base 4? -23 -232 (base 9) to base 6 -515 Convert 2 (base 13) to base 4. 2 What is -b (base 14) in base 4? -23 -110011 (base 3) to base 4 -11020 2 (base 8) to base 9 2 -46 (base 10) to base 5 -141 Convert 0 (base 13) to base 12. 0 What is -244 (base 5) in base 7? -134 What is 365 (base 8) in base 4? 3311 -1 (base 11) to base 6 -1 What is 13 (base 6) in base 7? 12 What is 1 (base 14) in base 7? 1 -1 (base 7) to base 10 -1 3 (base 14) to base 4 3 111011 (base 2) to base 3 2012 4 (base 14) to base 16 4 Convert 4 (base 5) to base 6. 4 What is 3 (base 14) in base 13? 3 Convert 0 (base 9) to base 10. 0 What is -1212 (base 3) in base 6? -122 Convert -283 (base 9) to base 7. -456 -3 (base 9) to base 14 -3 Convert 87 (base 13) to base 5. 421 1110111 (base 2) to base 7 230 -10 (base 11) to base 5 -21 -3 (base 8) to base 15 -3 -2 (base 6) to base 2 -10 What is -8 (base 13) in base 14? -8 Convert 3e (base 16) to base 7. 116 Convert 30 (base 6) to base 11. 17 111112 (base 3) to base 12 265 What is -3 (base 7) in base 4? -3 -12 (base 6) to base 5 -13 4b (base 14) to base 13 52 Convert -1 (base 12) to base 15. -1 Convert 1 (base 3) to base 11. 1 -23 (base 4) to base 11 -10 13 (base 4) to base 13 7 What is 10 (base 4) in base 14? 4 What is 100 (base 2) in base 15? 4 What is -2 (base 16) in base 5? -2 What is 252 (base 8) in base 3? 20022 -2 (base 4) to base 15 -2 -2 (base 16) to base 8 -2 What is -23 (base 13) in base 12? -25 What is 2 (base 6) in base 2? 10 Convert 15 (base 7) to base 11. 11 What is -441 (base 6) in base 13? -100 What is -40 (base 10) in base 2? -101000 d (base 16) to base 10 13 -1 (base 13) to base 14 -1 -22 (base 10) to base 4 -112 Convert -4 (base 10) to base 12. -4 What is -1 (base 13) in base 7? -1 Convert -15 (base 10) to base 13. -12 -27 (base 13) to base 7 -45 What is -8 (base 12) in base 6? -12 52 (base 15) to base 9 85 What is -71 (base 13) in base 3? -10102 Convert 101000 (base 2) to base 8. 50 Convert -11 (base 5) to base 13. -6 What is 37 (base 8) in base 14? 23 -40 (base 10) to base 8 -50 -12 (base 9) to base 10 -11 1 (base 6) to base 9 1 0 (base 12) to base 10 0 3 (base 4) to base 7 3 What is -5 (base 16) in base 4? -11 5 (base 7) to base 15 5 Convert a3 (base 13) to base 8. 205 -1 (base 16) to base 6 -1 What is -20 (base 3) in base 5? -11 -80 (base 10) to base 12 -68 13 (base 4) to base 10 7 Convert 4 (base 6) to base 16. 4 29 (base 13) to base 5 120 2e (base 16) to base 5 141 -1 (base 12) to base 15 -1 -1 (base 5) to base 15 -1 Convert 210 (base 11) to base 13. 166 1 (base 14) to base 4 1 Convert 3 (base 16) to base 4. 3 4 (base 12) to base 8 4 Convert -13 (base 6) to base 11. -9 What is 3 (base 12) in base 14? 3 What is 0 (base 8) in base 3? 0 What is 2 (base 5) in base 6? 2 Convert -403 (base 5) to base 12. -87 What is -2 (base 12) in base 5? -2 5 (base 6) to base 12 5 Convert -11110 (base 2) to base 9. -33 17 (base 13) to base 16 14 Convert -31 (base 10) to base 4. -133 -3 (base 10) to base 3 -10 Convert 36 (base 12) to base 3. 1120 What is -3 (base 10) in base 11? -3 101 (base 4) to base 7 23 What is -11 (base 4) in base 14? -5 What is -165 (base 13) in base 5? -2002 24 (base 7) to base 5 33 Convert 0 (base 10) to base 11. 0 a (base 16) to base 6 14 What is 12 (base 5) in base 13? 7 What is 13 (base 4) in base 3? 21 2 (base 13) to base 15 2 4 (base 10) to base 6 4 1402 (base 5) to base 8 343 -2 (base 15) to base 11 -2 54 (base 7) to base 8 47 Convert -12 (base 5) to base 14. -7 What is -1c (base 13) in base 2? -11001 -1 (base 4) to base 16 -1 What is 15 (base 6) in base 15? b Convert -2 (base 5) to base 4. -2 -15 (base 11) to base 8 -20 Convert 20 (base 4) to base 3. 22 Convert 0 (base 6) to base 13. 0 Convert -304 (base 5) to base 7. -142 20 (base 14) to base 10 28 35 (base 7) to base 11 24 -17 (base 8) to base 10 -15 What is -21 (base 3) in base 7? -10 What is 21 (base 13) in base 2? 11011 Convert 235 (base 7) to base 2. 1111100 Convert -10 (base 5) to base 11. -5 What is 11 (base 13) in base 3? 112 What is 3 (base 5) in base 11? 3 What is -106 (base 10) in base 11? -97 What is -222 (base 3) in base 15? -1b Convert -4 (base 7) to base 8. -4 What is 3 (base 8) in base 12? 3 What is 4 (base 5) in base 10? 4 What is 10 (base 15) in base 13? 12 What is 1 (base 10) in base 8? 1 Convert 110 (base 3) to base 16. c What is 15 (base 7) in base 6? 20 9 (base 10) to base 15 9 What is 5 (base 14) in base 13? 5 What is -15 (base 7) in base 8? -14 What is 10 (base 4) in base 3? 11 1011111 (base 2) to base 5 340 6 (base 8) to base 6 10 Convert -1 (base 4) to base 12. -1 Convert 2121 (base 3) to base 7. 130 Convert 1 (base 10) to base 4. 1 Convert 7 (base 14) to base 12. 7 1 (base 14) to base 7 1 10 (base 2) to base 6 2 -5 (base 15) to base 10 -5 -53 (base 6) to base 9 -36 -10 (base 3) to base 15 -3 6 (base 16) to base 9 6 What is 1222 (base 6) in base 12? 212 Convert 3 (base 4) to base 6. 3 -73 (base 12) to base 11 -7a 158 (base 10) to base 3 12212 -10 (base 4) to base 16 -4 What is -7 (base 12) in base 11? -7 What is -110 (base 2) in base 5? -11 -14 (base 6) to base 14 -a What is 53 (base 13) in base 11? 62 What is 2 (base 13) in base 4? 2 Convert 18 (base 16) to base 12. 20 -3 (base 8) to base 10 -3 Convert 2 (base 6) to base 8. 2 What is 4 (base 9) in base 12? 4 -10000001 (base 2) to base 12 -a9 2 (base 13) to base 10 2 Convert 42 (base 10) to base 13. 33 What is -6 (base 13) in base 6? -10 -2a (base 14) to base 9 -42 What is -7 (base 13) in base 2? -111 1 (base 12) to base 10 1 -1 (base 8) to base 12 -1 Convert -11020 (base 3) to base 5. -424 21222 (base 3) to base 6 555 -5 (base 9) to base 6 -5 Convert 1000 (base 2) to base 14. 8 What is -111221 (base 3) in base 12? -274 What is -b1 (base 14) in base 11? -131 -122 (base 4) to base 11 -24 What is 5 (base 10) in base 12? 5 Convert -26 (base 7) to base 4. -110 -252 (base 7) to base 5 -1020 Convert -23 (base 12) to base 9. -30 -1 (base 7) to base 13 -1 What is 5 (base 14) in base 12? 5 -3 (base 4) to base 3 -10 Convert 2 (base 3) to base 15. 2 Convert 222 (base 4) to base 10. 42 -5 (base 14) to base 12 -5 What is -11 (base 12) in base 4? -31 -18 (base 12) to base 9 -22 What is -3 (base 10) in base 7? -3 -3 (base 13) to base 16 -3 Convert -14 (base 8) to base 12. -10 -103 (base 10) to base 9 -124 -3 (base 11) to base 5 -3 Convert 22 (base 10) to base 16. 16 What is -a (base 15) in base 4? -22 Convert -17 (base 8) to base 11. -14 Convert -164 (base 7) to base 9. -115 What is 11 (base 4) in base 16? 5 What is 1 (base 14) in base 15? 1 What is -1 (base 8) in base 16? -1 Convert 2 (base 11) to base 4. 2 What is -102011 (base 3) in base 4? -10231 -23 (base 8) to base 4 -103 Convert 3 (base 16) to base 4. 3 Convert 1101 (base 3) to base 8. 45 Convert -8 (base 15) to base 14. -8 -5 (base 12) to base 14 -5 What is -2d (base 14) in base 4? -221 What is -100 (base 2) in base 13? -4 10 (base 4) to base 9 4 Convert 1 (base 14) to base 16. 1 Convert -21 (base 3) to base 13. -7 What is -24 (base 12) in base 14? -20 Convert 7 (base 9) to base 5. 12 Convert 2111 (base 3) to base 2. 1000011 9 (base 11) to base 9 10 What is -2 (base 14) in base 8? -2 Convert -100 (base 2) to base 13. -4 -12 (base 6) to base 5 -13 Convert 4 (base 12) to base 14. 4 1 (base 15) to base 12 1 Convert 65 (base 13) to base 16. 53 Convert -d3 (base 14) to base 16. -b9 313 (base 5) to base 14 5d What is 75 (base 8) in base 11? 56 What is -4 (base 13) in base 16? -4 12 (base 11) to base 9 14 -54 (base 10) to base 12 -46 13 (base 10) to base 14 d What is -142 (base 5) in base 2? -101111 What is 1 (base 16) in base 6? 1 14 (base 12) to base 7 22 -203 (base 4) to base 7 -50 What is -213 (base 8) in base 14? -9d -71 (base 12) to bas
{ "pile_set_name": "DM Mathematics" }
nearest 1000000. -19000000 Let m = -35.5 - -4.5. Let h = m + 30.9525. Let a = 0.05 + h. Round a to 3 decimal places. 0.003 Let l be (6/9)/(2/9). Let c = l + -36. What is c rounded to the nearest ten? -30 Let g = 6946.000003399 + -6946. What is g rounded to 7 dps? 0.0000034 Let a = 27 - 14. Suppose -3*z - a + 22 = 0. Suppose -4*p + 10453 = d - 49152, -3*p + z*d = -44685. What is p rounded to the nearest one thousand? 15000 Let y = -31 - -28. Let q(h) = -16*h**3 + 2*h**2 - 4*h - 2. Let f be q(y). What is f rounded to the nearest one hundred? 500 Let i = -2641 + 389. What is i rounded to the nearest 100? -2300 Suppose 4 = u - 0*u. Suppose -2*w + u*r - 248838 - 57182 = 0, -4*r = 5*w + 764980. What is w rounded to the nearest ten thousand? -150000 Let p = 1092.000003138 + -1092. Round p to 7 decimal places. 0.0000031 Let h = 0.4 + 3.6. Let c = -703794.0000125 + 703798. Let k = c - h. What is k rounded to six dps? -0.000013 Let l = -2169 - -2168.9999044. What is l rounded to 6 decimal places? -0.000096 Let m = 4402 - 4397.0208. Let c = 0.11 + -5.11. Let u = c + m. Round u to 3 dps. -0.021 Let g = -32.039 + 0.039. Let z = -34.84 - g. Round z to 1 dp. -2.8 Let r = 0 - 6. Let n = 3.63 + r. Let u = n + 0.47. Round u to the nearest integer. -2 Let d = -0.2 - -6.7. Let m = -182.32 + 188. Let h = m - d. What is h rounded to 1 decimal place? -0.8 Let i = 1.83 + -1.8299625. Round i to 6 decimal places. 0.000038 Let s = -6.22669 - -5.441. Let p = -0.782 - s. Round p to 3 decimal places. 0.004 Let y = 24231 + 619. Suppose n + 265850 = y. Round n to the nearest 10000. -240000 Let q = -45 + -63. Let f = 267 + q. Let u = f - 159.0089. What is u rounded to three dps? -0.009 Suppose -2062367 = -2*o + 3*g, -4*g + 485526 = -o + 1516707. Suppose -5*l + 903813 = -2*t - o, 4*t + 1934996 = 5*l. Round l to the nearest ten thousand. 390000 Let k = -512.94 + 519. Let a = k + -6.0599723. What is a rounded to 6 decimal places? 0.000028 Suppose 3*x + 6 = h, -3*h - 2*h + 17 = -2*x. Suppose -h*u + 5*f - 35 = 0, -47 = 3*u + 2*f - f. Let t be 8404 - (-5)/(u/12). Round t to the nearest 1000. 8000 Let s = -3.8 + -0.4. Let b = s - -4.1642. Round b to 3 dps. -0.036 Let w = 13 + -8. Let x(d) = -5576*d + 5. Let f be x(w). Let a be f*(-1 - (-36)/20). What is a rounded to the nearest 1000? -22000 Let o = 60 + -36. Suppose -2*y + 4*l = -3*y + o, -y - 3*l = -27. Round y to the nearest ten. 40 Let c = 42.2 + -42.1998803. Round c to 6 decimal places. 0.00012 Let x = 370 - 370.000986. What is x rounded to 4 decimal places? -0.001 Let s = 4 - 4. Let u be (0 - s) + 9 + -1. Suppose u*t + 310 = 3*t. Round t to the nearest 10. -60 Let p = 21454 - 40014. Round p to the nearest ten thousand. -20000 Let l = 0.277999946 + -0.278. Round l to seven dps. -0.0000001 Suppose 4*j - 32511 = -5*u + 13185, 3*j = -2*u + 34265. Suppose -s - 2446 = 1273. Let z = j + s. What is z rounded to the nearest 1000? 8000 Let z = 81.9 + -2.9. Let q = 78.696 - z. Round q to two decimal places. -0.3 Let b = 0.08993 - 0.0799875. Let m = 0.01 - b. Round m to 5 decimal places. 0.00006 Let z = -0.537109 - -0.99710874. Let k = z + -0.46. What is k rounded to seven decimal places? -0.0000003 Let j = 184 - 180.34. Let f = 0.2 - j. Let x = 3.460273 + f. What is x rounded to 5 decimal places? 0.00027 Let p(s) = -s**2 + 8*s + 13. Let f be p(9). Suppose -17 + 13 = f*j. What is j rounded to zero dps? -1 Let z = 4386 - 4384.800032. Let w = 1.2 - 0. Let b = z - w. What is b rounded to 5 decimal places? -0.00003 Let w = 21 + -21.106. Let o = w + -0.342. Round o to two dps. -0.45 Let c = 4526 + -4525.9997583. What is c rounded to 4 dps? 0.0002 Let b(d) = d - 1. Let o(t) = -3*t + 48. Let j(h) = 4*b(h) + o(h). Let i be j(0). What is i rounded to the nearest 10? 40 Let a = -898.29 - -978.3001. Let z = -138 + 58. Let k = z + a. What is k rounded to 3 dps? 0.01 Suppose 2*a = -6, -30106009 = -2*n - 151*a + 154*a. What is n rounded to the nearest one hundred thousand? 15100000 Let f = -477184.86629 - -477187. Let b = f - 2.122. Let j = b + -0.011. What is j rounded to four decimal places? 0.0007 Let d = -17 - -35. Let m = 3.5 - d. Round m to 0 decimal places. -15 Suppose 2*h - 6 - 26 = 2*p, 0 = 2*p + 4*h + 32. Let v = p - -18. Suppose 2*m + o + 102 = -72, v*m + 5*o + 174 = 0. What is m rounded to the nearest ten? -90 Let m(c) = 22359999*c**2 - 16*c - 15. Let d be m(-1). What is d rounded to the nearest one hundred thousand? 22400000 Let z be (-40)/6*42500*969/(-38). What is z rounded to the nearest 1000000? 7000000 Let t = 33.7381 + 1.2555. Let y = t - 35. Round y to 3 decimal places. -0.006 Let o = -750001692056 + 750007806243.00046. Let f = 6114131 - o. Let x = 56 + f. Round x to 4 dps. -0.0005 Let t = 1.5 - -61.9. Let o = -7.4 + t. Let x = o - 55.99886. Round x to 4 decimal places. 0.0011 Let p = -18 - -17.972. Let j = 13.592 + -12.8. Let i = j - p. Round i to 1 decimal place. 0.8 Let k = 250 - 297. Round k to the nearest 100. 0 Suppose -4*w - 4 = 5*h - 31, 0 = -3*w + 9. Suppose 3*d = -a - 6125, 0*a - a = -h*d - 6115. What is d rounded to the nearest one hundred? -2000 Let i = -977172 - -414172. Round i to the nearest one hundred thousand. -600000 Let n = 42260.74964 + -42260. Let i = 0.70964048 - n. Let x = i - -0.04. Round x to seven decimal places. 0.0000005 Let w = -93.76 + 92. Let l = -0.04 + w. Let k = l - -1.799968. Round k to five decimal places. -0.00003 Let f = -117.87808 - -117.9. What is f rounded to three dps? 0.022 Let m = -6.5 + 0.5. Let i = m + -2.3. Round i to zero decimal places. -8 Let f = -12.916 + 14.1478. What is f rounded to 2 decimal places? 1.23 Let a = 0.009 + -0.083. Let i = -2.42426333 + 2.350264. Let v = i - a. Round v to 7 dps. 0.0000007 Let t = 686561 - 383561. What is t rounded to the nearest one hundred thousand? 300000 Let y = 22 - 20. Suppose -3*v = y*v - 164540. Suppose -4*r + v + 51092 = 0. Round r to the nearest 10000. 20000 Let y = 4.8 - 19.8. Let g = 48.43 + -63.2. Let s = g - y. Round s to 1 decimal place. 0.2 Let t be (-4)/(-10) - 152/5. Let s be 4/(-14) + t/(-7). Suppose 2 = s*o - 2, 4*q - 2*o = -120002. Round q to the nearest one hundred thousand. 0 Let b = -27.452 - 0.348. Let w = 11.4 + b. Round w to 0 dps. -16 Let v = 1.2 + 17.8. Let r = 11 + v. Let m = -29.52 + r. Round m to 1 dp. 0.5 Let m = 0.097200939 - 0.0972. Round m to seven dps. 0.0000009 Let p be 3 - (-3)/((-12)/40). Let o = p - -12. Suppose o*x = 3*x - 82. What is x rounded to the nearest 10? -40 Let y = 2.5 - 8.3. Let m = -249657.20164 - -249663. Let x = m + y. What is x rounded to 4 decimal places? -0.0016 Let i = -56.232 - -58. What is i rounded to 1 decimal place? 1.8 Let z(q) = -60*q**2 - q. Let l be z(1). Let j = 83 + 21. Let f = l + j. Round f to the nearest 10. 40 Let n = 59.813 - 63.79. Round n to one decimal place. -4 Let m = -1119332.0271 - -1119054. Let s = m + 278. Round s to three decimal places. -0.027 Let y = -4.8 + 4.800002486. What is y rounded to 7 decimal places? 0.0000025 Let u = 0.07672 + 3186.92328. Let n = u + -3185.8047. Let l = 1.2 - n. Round l to 3 decimal places. 0.005 Let f = -27.59514 - -27.961. Let b = 0.36 - f. Round b to three dps. -0.006 Let c = 0.02976 + -0.06633. Round c to 2 decimal places. -0.04 Let j = 0.3158 - 0.292. What is j rounded to 2 decimal places? 0.02 Let r = 0.53 - -26.27. Let x = 26.80000234 - r. What is x rounded to seven dps? 0.0000023 Let u = 7.7 - -49.4. Let o = u + -1.1. Let r = o - 55.9973. What is r rounded to 3 decimal places? 0.003 Let y = 267 + -267.0088. What is y rounded to three decimal places? -0.009 Let v = 95 + -68. Let p = v - 23.6. Let a = -3.3905 + p. What is a rounded to three dps? 0.01 Let f(s) = -2*s + 4121836. Let m be f(0). Let i = -9131836 + m. Round i to the nearest one million. -5000000 Let k = -385.9998086 - -386. Round k to 5 decimal places. 0.00019 Let k be (-1)/(5 + -3)*0. Suppose k = 10*c - 11*c + 2. Let z be 36998 - 0 - (-4 + c). Round z to the nearest ten thousand. 40000 Let o = 269 + -268.9999336. Round o to six decimal places. 0.000066 Let y = 4853123 - 4852955.479975. Let a = y + -167.34. Let r = -0.18 + a. Round r to 5 dps. 0.00003 Let l = 86.98072 - 98.981. Let b = l - -12. Round b to four dps. -0.0003 Let q(a) = 104858*a - 16. Let d be (0 - -2)/
{ "pile_set_name": "DM Mathematics" }
rest 1000000. 59000000 Let t = 77.5 - 7.5. Let i = -70.0065 + t. Round i to three dps. -0.007 Let a = 1511.3 - 1430. Round a to the nearest 10. 80 Let l = -62.732 + 63. Let w = l + -0.32. Let z = 0 - w. What is z rounded to two decimal places? 0.05 Let w be (9 - (2 + 0)) + -2. Suppose -p + 3*u = 4003, -w*p + 0*u = 2*u + 19998. Round p to the nearest one thousand. -4000 Let a(p) = 4099*p**2 - 2*p - 4. Let i be a(-8). Suppose i + 27652 = -2*y. What is y rounded to the nearest one hundred thousand? -100000 Suppose 25 = 2*q + 3*q. Let m be (q - -1)*2/6. Suppose -m*b = -0*b. Round b to the nearest one hundred thousand. 0 Let r = 37.092 + -0.092. Let d = r - 36.988. What is d rounded to 3 decimal places? 0.012 Suppose 3*v - 50 + 14 = 0. Let h be 5*v*(-5)/10. Let l be h/(148/(-50) - -3). Round l to the nearest 100. -800 Let g = -0.8173993761 - -0.8174. What is g rounded to 7 decimal places? 0.0000006 Let o = 672.9998523 - 673. Round o to 4 decimal places. -0.0001 Suppose 4*w = 2*w. Suppose 5*l + 0*l + 25 = w. Let h be ((-9)/l)/(3/45). Round h to the nearest 10. 30 Let q be ((-60)/8)/(-5)*-1716. Let o = q - 526. What is o rounded to the nearest 1000? -3000 Let p(o) = 47*o - 313. Let j be p(7). What is j rounded to the nearest one hundred? 0 Let j = -77 - -77.00001636. What is j rounded to six decimal places? 0.000016 Suppose v + 3*v = 8, k - 5*v = -10. Let j be 30600002 + -1 + k + -2. Let o be (-4)/(-8) - j/(-2). What is o rounded to the nearest one million? 15000000 Suppose f + 6*l - 3*l - 5539985 = 0, -22160005 = -4*f + l. Round f to the nearest one hundred thousand. 5500000 Let l be 1/4 + (0 + -1)/4. Suppose 11*q + 0*q + 20350000 = l. Round q to the nearest one hundred thousand. -1900000 Let t be ((-10)/(-6) + -2)*(-5277 - 0). Round t to the nearest 100. 1800 Let r = 0.0371 - 0.0371871. What is r rounded to 5 dps? -0.00009 Let n = 5374.0276 - 5373. What is n rounded to one decimal place? 1 Let v = -0.899 - -0.89900193. Round v to seven decimal places. 0.0000019 Let q = -722.396 - -722. What is q rounded to two dps? -0.4 Let z be ((-320)/(-6))/(-9 - (-14840)/1650). Suppose 4*f = -1497 - 3303. Let n = z - f. What is n rounded to the nearest one thousand? -8000 Let c = -990 + 1006.32. Let a = c - 0.32. Let d = -14.7 + a. What is d rounded to 1 decimal place? 1.3 Let i be 6/(-7)*42/(-9). Suppose 4*o - o = -3*j + 21, 0 = -j - 2*o + i. Suppose 9 = -3*d + 3*u, -d - j - 5 = -4*u. Round d to the nearest 10. 0 Let d = 18 + -35. Let t = -17.04 - d. What is t rounded to 2 decimal places? -0.04 Let a(r) = -76*r**3 + 47*r**2 - 22*r - 61. Let v be a(-23). Round v to the nearest 10000. 950000 Let b be (32509 - 3) + (-5 - 1). Round b to the nearest one thousand. 33000 Let f = -1668 - -1667.97177. Let y = -0.03 - f. Round y to 4 dps. -0.0018 Let d = 627 + -626.999436. What is d rounded to 4 decimal places? 0.0006 Let k = -2485.12 + 2539. Let y = -54 + k. Round y to 1 dp. -0.1 Suppose 23500025 = -m + 5*n, -46999980 = 2*m - 0*n + 4*n. Round m to the nearest 1000000. -24000000 Let m = 1.432 + 678.568. Let t = m + -680.000000489. Round t to 7 decimal places. -0.0000005 Let d = -185 - -283. Let f = -100.27 + d. Let h = f - -2.2700113. What is h rounded to six dps? 0.000011 Let k = -546 + 547.039. Round k to 2 decimal places. 1.04 Let h be ((-36)/24)/(45/24 + -2). Let n be (105 + -3)*(-14000)/h. Round n to the nearest ten thousand. -120000 Let a = 122 + -113.75. Round a to the nearest integer. 8 Suppose 4*b + 7*b - 6*b = 0. Suppose 3*v + x + 3*x + 714008 = b, 3*x - 951994 = 4*v. Round v to the nearest 10000. -240000 Let g = -42.922 + -0.078. Let m = 42.992 + g. What is m rounded to three decimal places? -0.008 Let y = -45.7 - -45.69906. What is y rounded to 3 dps? -0.001 Suppose 9 = -3*n + 30. Let i(z) = -5*z + 2*z**2 + z**2 - 2*z - 2*z**2. Let h be i(n). Round h to the nearest one million. 0 Let h = 0.268 - 0.267999444. Round h to 7 decimal places. 0.0000006 Let j = -62834 - -62972.0832. Let b = j - 138. What is b rounded to 2 decimal places? 0.08 Suppose -3*p = -3*n - 2*n - 51599, -68794 = -4*p + 2*n. Let h be (0 - -1)/(3/15). Suppose 0 = -5*m + h, -l + 2*m = l - p. Round l to the nearest one thousand. 9000 Let h = -518 - -517.99999379. What is h rounded to 7 decimal places? -0.0000062 Let t = 2596017.529 - 2597207. Let h = 1190 + t. Round h to 1 dp. 0.5 Let u = -193 - -116. Let c = 3 + u. Let q = c - -74.000073. What is q rounded to 5 dps? 0.00007 Let s be (-4239)/(-18) + (-3)/(-2) + -2. Suppose s = -4*p - 109. Round p to the nearest 10. -90 Let p = 653 + -653.000694. What is p rounded to 4 decimal places? -0.0007 Let q = -8.6 + -5.3. Let r = 13.8941 + q. What is r rounded to 3 decimal places? -0.006 Suppose -2*x + 53320 = -150680. Suppose 0*t + x = t. Suppose -t = k + 2*k. Round k to the nearest 10000. -30000 Let h = 44.471 - 0.571. Let u = h - 43.609. Round u to 1 dp. 0.3 Let n(c) = -211*c**3 + 9*c**2 - 8*c - 10. Let p be n(-11). Let x be 12/(-9) + p/6. Round x to the nearest ten thousand. 50000 Let j = -2.59 + 0.83. Let g = -6.99 - j. What is g rounded to the nearest integer? -5 Let k = -559 - 3234. Let d = k + 3767.23. Let c = 24.6 + d. What is c rounded to one decimal place? -1.2 Let t = 0.057 + 73.943. Let j = -85.7787 - 0.1213. Let o = t + j. What is o rounded to the nearest integer? -12 Let r = 40568.14 + -37432. Let x = r + -3257. Let t = x + 122. Round t to 1 decimal place. 1.1 Let k = 1363 - 1333.05. Let f = -30 + k. Let q = 0.05007 + f. What is q rounded to five decimal places? 0.00007 Let j be (2/(-4)*(-9 + 25))/(-2). Suppose -j*d + 19209773 + 1430227 = 0. Round d to the nearest one million. 5000000 Let y = -45.2 - -45.20000132. Round y to six dps. 0.000001 Let c be 0 + -6 - -4 - -4442. Let b be c*(600/9)/(-4). What is b rounded to the nearest 10000? -70000 Let y = -110280.9157 + 102200.917. Let p = y - -8082. Let h = 2 - p. What is h rounded to 3 decimal places? -0.001 Let q = -74 + 148. Let j = -44 + q. Let u = j - 30.46. Round u to 1 decimal place. -0.5 Let n = -513 + 511.773. Round n to one dp. -1.2 Let a = 0.216 + 133.784. Let r = a - 134.0000452. What is r rounded to five decimal places? -0.00005 Let z = -9.78 + 3.7. Let v = -1.5 - -7.5. Let p = z + v. What is p rounded to 2 dps? -0.08 Let n = 14.406 - 15.1. Let i = n + 0.044. Round i to 1 decimal place. -0.7 Let b = -4.5 + 29.5. Let h = b - 25.000095. Round h to 5 decimal places. -0.0001 Let t = -7.209 + 0.109. Let x = -755871 + 755863.89919. Let p = x - t. Round p to 4 decimal places. -0.0008 Let p = 0.384 - 339.384. Let i = p + 338.99999843. What is i rounded to 7 decimal places? -0.0000016 Suppose -305*g + 301*g = 23696. Round g to the nearest one hundred. -5900 Suppose -1554*j + 1546*j - 117120 = 0. Round j to the nearest ten thousand. -10000 Let w = -0.123400928 + 0.1234. What is w rounded to seven dps? -0.0000009 Let p = -12634 + 12649.899. Let l = p + -16. Let q = -0.10100071 - l. What is q rounded to seven decimal places? -0.0000007 Let d = 55655972 + -55655972.138000595. Let x = 0.138 + d. Round x to 7 decimal places. -0.0000006 Let p = 2446 + -2446.02622. What is p rounded to three decimal places? -0.026 Let y = 2236 - 2212.26. Let g = -24 + y. Let j = -0.2546 - g. What is j rounded to 3 dps? 0.005 Let m = -8.1 - -12.1. Let f = -3985.369986 + 3989.37. Let o = m - f. What is o rounded to 5 decimal places? -0.00001 Let u = -551 - -232. Let w = u + 494. What is w rounded to the nearest 100? 200 Let c = -34.8806 - 0.2794. What is c rounded to the nearest 10? -40 Suppose 122012 = -g + 30572. What is g rounded to the nearest one thousand? -91000 Let f = 112.22839724 - 114.378404. Let a = 2.15 + f. Round a to six dps. -0.000007 Suppose 71*j = 73*j + 106. Round j to the nearest ten. -50 Let j = 4357433 + -2493433. What is j rounded to the nearest one hundred thousand? 1900000 Let g = -22156721 - -46756721. What is g rounded to the nearest 1000000? 25000000 Let s be (1020/48*-2)/(1/2240). What is s rounded to the nearest 1000? -95000 Let o = -301.00003 - -301. What is o rounded to 4 dps? 0 Let n = -128.7349 + 128.6. What is n rounded to 2 decimal places? -0.13 Let m = -333 + 332.999845. What is m rounded to four decimal places? -0.0002 Let j = -74942 + 74957.0002. Let c = -32 + 17. Let v = j +
{ "pile_set_name": "DM Mathematics" }
228*f - 59184 + 214128 = 0 for f. 48 Solve 192*o + 1077*o + 656*o = -44275 for o. -23 Solve 32104 - 86395 = -4435*y + 956*y + 164886 for y. 63 Solve 43*v - 305 = -15*v + 120*v - v for v. -5 Solve 474983 = 123*z + 481625 for z. -54 Solve 881*s - 56 = 885*s for s. -14 Solve 61*c - 112*c - 66963 = 336*c - 16653 for c. -130 Solve -3684 = -405*u - 12057 - 14830 + 4573 for u. -46 Solve -13797 - 1851 = 309*i + 29775 for i. -147 Solve -14366*i - 10417 = -15381*i + 3358 - 1595 for i. 12 Solve -123734*k + 121074*k = -143640 for k. 54 Solve 84672 - 62954 + 28697 = -9880*z - 97785 for z. -15 Solve -19*c - 3*c = -15*c + 21*c for c. 0 Solve 108*q + 12389 - 10877 = 0 for q. -14 Solve 20043*v + 20032*v = -20055*v + 60153*v - 2898 for v. 126 Solve -14145*l - 1514235 = 3024*l - 6552*l + 6788*l for l. -87 Solve 511*z - 459*z + 1417 - 273 = 0 for z. -22 Solve -171963*m + 172026*m = 2331 for m. 37 Solve -3228 = 1218*o - 411*o for o. -4 Solve -40*x + 74*x = -238 for x. -7 Solve -3350 - 2592 = 1021*z - 704 + 888 for z. -6 Solve 105*z = 14*z - 1410 - 1516 + 924 for z. -22 Solve -10778*h - 93369 + 198664 + 272486 = -355123 for h. 68 Solve 224*s = 10881 + 612 - 401 - 340 for s. 48 Solve -2544 = -468*a - 204 for a. 5 Solve 1061 + 7918 = -219*o for o. -41 Solve -811*x - 4780 - 26267 = -2662 for x. -35 Solve -510 = -23*a + 669 - 259 for a. 40 Solve 0 = -42*w - 159*w - 389*w + 44250 for w. 75 Solve 1734 = 939*a - 1141*a - 286 for a. -10 Solve 10486*a - 2573 = 10359*a + 10127 for a. 100 Solve 322*w + 80668 = -75*w + 23393 + 14796 for w. -107 Solve -4135*y - 73030 = -296320 for y. 54 Solve 74*c - 167*c - 47*c - 105*c = 14700 for c. -60 Solve 28*l - 1272 + 9113 + 1951 = -108*l for l. -72 Solve 1935*x - 9605 - 32523 = 744*x - 1442*x for x. 16 Solve -13518 = -84*y - 15954 for y. -29 Solve -745 + 156 = 361*w - 330*w for w. -19 Solve 7301*d - 10197*d - 57920 = 0 for d. -20 Solve 231*a + 13116 - 9420 = 0 for a. -16 Solve -138*w - 4570 = 363*w + 12132 + 8849 for w. -51 Solve 608 = 4*d + 46*d + 26*d for d. 8 Solve 0 = 172*b - 1170 - 4336 + 346 for b. 30 Solve 12295 = -293*x + 18155 for x. 20 Solve 4454*j - 9368*j = -4365*j - 2745 for j. 5 Solve -52*d - 24*d + 4236 + 1196 = -20*d for d. 97 Solve 216*y - 12325 = 941*y for y. -17 Solve -51*k + 2405 = 345*k - 3931 for k. 16 Solve 1093 + 1991 - 732 = 94*m - 38*m for m. 42 Solve -652 = -109*i - 110*i + 6*i + 5312 for i. 28 Solve 2253*c + 24933 + 35898 = 0 for c. -27 Solve 139*v - 3228 - 3935 = 1594 for v. 63 Solve -4185 = 114*s + 4479 for s. -76 Solve 40*z + 1949 = 1015 - 26 for z. -24 Solve 211*c - 2495 = -913 - 8756 for c. -34 Solve -49*n + 548 + 80 = -597 for n. 25 Solve 8*g + 90 - 74 + 8 = -192 for g. -27 Solve -4534*p + 5041*p + 21294 = 0 for p. -42 Solve 31879 + 34824 = -181*f + 9710*f for f. 7 Solve 22132*u = 22644*u + 18944 for u. -37 Solve -99*p + 609 + 3460 = -5*p + 215 for p. 41 Solve 1302*c - 253663 = -350011 for c. -74 Solve -3877*w + 54385 = -131711 for w. 48 Solve 0 = 97*a + 47*a + 233*a - 75*a + 206*a for a. 0 Solve -38474 - 43086 = 1039*w - 3635 for w. -75 Solve -3387*q - 2248*q = -2052*q - 369049 for q. 103 Solve -40*b = 4643568 - 4641248 for b. -58 Solve 1237*p + 2472 = 44530 for p. 34 Solve 2340*f - 10235 + 51738 = 301243 for f. 111 Solve 1732 + 282 + 1167 = -531*u - 5 for u. -6 Solve -120*d - 6931 + 19301 = 370 for d. 100 Solve -170*q + 1103 = 6353 + 2281 + 3179 for q. -63 Solve -11752 = 861*x - 47914 for x. 42 Solve 0 = -3128*r + 9984*r + 6931*r + 897598 + 329445 for r. -89 Solve 4188*k + 4260 = 4020*k - 8004 for k. -73 Solve 64624 = 2558*j - 4442 for j. 27 Solve 141*c - 152*c = -77 for c. 7 Solve -66*v - 5151 + 2379 = 0 for v. -42 Solve 5545*d - 22880 = 49205 for d. 13 Solve 73*s + 4949*s = -3165*s - 570629 - 35209 for s. -74 Solve 53*w = -5904 + 11621 - 5982 for w. -5 Solve 2667098 = 35*t + 2665173 for t. 55 Solve -214*y = 47315 - 31479 for y. -74 Solve -1651 - 25483 = -2360*u + 27146 for u. 23 Solve 1500*r + 114382 = -494*r - 87012 for r. -101 Solve 10034 - 42007 = -3856*o - 21014 + 81585 for o. 24 Solve 13759 = 430*c + 2579 for c. 26 Solve 4550*q - 32767 = 17283 for q. 11 Solve -479*n - 390*n - 80320 = 386*n for n. -64 Solve 190*d = 623*d - 147*d + 5148 for d. -18 Solve 7*b - 424 - 24 = -11*b + 200 for b. 36 Solve 0 = 168224*p - 168023*p - 22713 for p. 113 Solve 154*k - 6235949 + 6233639 = 0 for k. 15 Solve 0 = 16*k + 143897 - 144585 for k. 43 Solve -1763*p + 488*p - 5172*p + 667120 = 1892*p for p. 80 Solve 308*w = -2891 + 1967 for w. -3 Solve -18929*r - 680187 + 141781 = 614401 - 35996 for r. -59 Solve -760*p - 873*p - 79104 = 839*p for p. -32 Solve 1589*a - 400*a + 20928 = 535*a for a. -32 Solve -133*k - 1365 = -5*k + 455*k + 6214 for k. -13 Solve 273*c - 484*c - 90504 = 1159*c + 306*c for c. -54 Solve 0 = -15685*h + 16927*h - 69552 for h. 56 Solve -35973*x - 3600 = -35573*x for x. -9 Solve 300*z - 5291 + 5098 = -8626 - 6567 for z. -50 Solve 870*s + 404355 - 430455 = 0 for s. 30 Solve -140092 - 7076 = -4088*g for g. 36 Solve -657*z - 13576 = -52*z - 25498 - 26798 for z. 64 Solve 178*l - 166*l + 29 = 161 for l. 11 Solve -501*c - 14995 - 245 = 4800 for c. -40 Solve -163745*l + 163559*l = 14322 for l. -77 Solve 416*n - 14802 + 242 = 0 for n. 35 Solve 11*w - 44*w = 262*w + 9114 + 8586 for w. -60 Solve 108*m - 211*m = -113*m - 90 for m. -9 Solve 0 = 5118*r + 2907*r + 26557*r + 933714 for r. -27 Solve 259*u - 1351 - 774 = -312 for u. 7 Solve 2095*b - 406219 + 53347 = -921*b for b. 117 Solve 45*y - 1491 + 387 = 33*y for y. 92 Solve -1085*n + 38*n = -14658 for n. 14 Solve 490*s - 2638 = 16472 for s. 39 Solve -3207*q = -3848*q - 17948 for q. -28 Solve -101*a - 114*a = 2*a - 15407 for a. 71 Solve -114 = 40*c - 672 - 602 for c. 29 Solve -135*k = 99*k - 238*k + 179*k + 15750 for k. -90 Solve -179*u = 242*u + 229*u - 52650 for u. 81 Solve 10037*x = 10045*x - 120 for x. 15 Solve 287*b + 7349 = 17681 for b. 36 Solve 253*v + 84*v - 51*v = -38*v + 7776 for v. 24 Solve -5*d = 23*d - 2*d + 77*d - 2266 for d. 22 Solve 98172*s - 96464*s = -140056 for s. -82 Solve 226 - 300 = -8*q - 394 for q. -40 Solve 468*p = 4778*p - 112060 for p. 26 Solve 1125*b - 292*b + 1277 = 3776 for b. 3 Solve -484749*k = -484864*k + 14260 for k. 124 Solve 0 = -32*t - 991059 + 989971 for t. -34 Solve -103*l - 85*l - 884 = 3816 for l. -25 Solve -5099303 + 5098238 = -71*i for i. 15 Solve 24*w + 87 - 24 - 35 = -356 for w. -16 Solve 18153*h - 270850 - 416307 = -17150 + 146878 for h. 45 Solve 4*k = 13*k + 22*k + 17*k + 2400 for k. -50 Solve -5069*l + 1669*l + 1035 = -1695*l - 1682*l for l. 45 Solve -160*d + 519*d - 177*d + 168 = 168*d for d. -12 Solve -5830*o + 5803*o - 351 = 0 for o. -13 Solve -386*s - 10156 - 2856 = 2814 for s. -41 Solve -9730 = -1069*f + 379*f + 15800 for f. 37 Solve 95914*y - 12412 = 96342*y for y. -29 Solve 151*d + 734757 = 756501 for d. 144 Solve -218559*b + 218468*b + 546 = 0 for b. 6 Solve -810*z - 550466 = -492146 for z. -72 Solve -505*x = -661*x + 5460 for x. 35 Solve 44*z - 93*z - 31*z + 630 = 46*z for z. 5 Solve 59*g - 92*g - 8*g - 3608 = 0 for g. -88 Solve 5827 = -384*y - 760 + 443 for y. -16 Solve 501124 = -1036*f - 459*f + 6942*f for f. 92 Solve 0 = 5136*k + 10412*k + 235 - 295647 for k. 19 Solve 33*r - 76*r - 3280 = 37*r for r. -41 Solve 416*d - 82530 = 2381*d for d. -42 Solve 555 - 218 = 10*z - 33 for z. 37 Solve 1049 + 44 + 732 = -365*x for x. -5 Solve -1627*q + 267192 = -6575*q for q. -54 Solve -562*o - 2204*o - 4011 - 1322 - 199 = 0 for o. -2 Solve -44*t - 1200 + 111 = 319 for t. -32 Solve -13468 + 6428 = 640*k for k. -11 Solve 2551 + 772 = -205*t + 658 for t. -13 Solve 520*a + 5804 - 1308 = -5763 + 379 for a. -19 Solve -8099*j - 93502 + 510641 = 69357 - 381128 for j. 90 Solve -412*q + 742*q + 37806 - 8798 = 589*q for q. 112 Solve -52*u + 4*u - 4250 = 77*u for u. -34 Solve 18*w + 422 - 2470 = 109*w + 591 for w. -29 Solve -672*y + 616*y = -403*y - 18738 for y. -54 Solve -366636*m + 3060 = -366721*m for m. -36 Solve -654*s + 362*s - 18100 = 70*s for s. -50 Solve -7101 = -402*u + 665*u for u. -27 Solve 48*l + 424 + 412 = 257*l for l. 4 Solve -26956478 = 4*x - 26956102 for x. -94 Solve 14673*z - 34328 = 15899*z for z. -28 Solve 815*s - 1102 = 528 for s. 2 Solve 213268*q - 213353*q + 992 = 4979 + 2643 for q. -78 Solve 82*i -
{ "pile_set_name": "DM Mathematics" }
= -20. Solve 0 = q*g - 8*g + 20 for g. 5 Suppose -2*s - 1 = -2*w - w, 23 = w + 5*s. Solve p = w - 2 for p. 1 Let y be (-1)/(3/(-9)) + 1. Let s = -8 - -8. Suppose 0 = -2*h - s*h - 8, -5*k - 4*h - 16 = 0. Solve -4 = y*n - k for n. -1 Let i(o) = -2*o**2 + 4*o + 2. Let s be i(2). Solve s = w - 3*w for w. -1 Let m be (-1 - -2)/(2/(-10)). Let z = 9 + m. Solve z = -0*q - q for q. -4 Let x be (-2 + 2)/((-2)/2). Suppose 2*z + 2*y - 12 = 0, -2*z - 2*z + y = -14. Solve x = -5*d - 29 + z for d. -5 Let o(n) = -n**2 + 14*n - 1. Let u be o(12). Let b = -17 + u. Solve -4*v + b = -v for v. 2 Suppose 8*x - 11*x = -42. Suppose 0 = -l - 11 + x. Solve -l*o + 2*o - 5 = 0 for o. -5 Let g be (-1)/(-4) - (-54)/8. Let l = -16 - -21. Solve -3 - g = l*o for o. -2 Let u(q) = q**3 - 22*q**2. Let m be u(22). Solve m = -2*x + 3 - 13 for x. -5 Let y(w) = -w**3 + 16*w**2 - w + 16. Let m be y(16). Solve q + 2 = -m*q for q. -2 Suppose -2*r + 180 = r. Let v be (-16)/(-6)*r/(-8). Let w be (15/10)/((-6)/v). Solve 0*j - w*j = -15 for j. 3 Let t(l) = -2*l + 3. Let d be t(-6). Let p(z) = -z**2 + 16*z - 11. Let m be p(d). Solve -2*g = -g - m for g. 4 Let t = 180 - 168. Solve 2*c - t = -2 for c. 5 Suppose 39 = 5*x + 4. Solve x = 4*b + 23 for b. -4 Let h = -4 - -6. Let p(b) = b**2 + 6*b + 7. Let o be p(-5). Let g = o - h. Solve 3*i + g*i - 3 = 0 for i. 1 Let x be ((-4)/(-7))/(33/(-7) - -5). Solve x = -i - 2 for i. -4 Suppose 5*g = 17 - 7. Solve 5 = g*m + 3*m for m. 1 Let q be (9/(-2))/((-33)/44). Solve 0 = 5*p - 2*p + q for p. -2 Let v(x) = x**2 - x + 2. Let w be v(2). Solve p - 3 = -w for p. -1 Let z(g) = g**2 - 10*g + 5. Let f be z(10). Suppose 4*v - 2*i = 2*v + 16, -f*i = v + 10. Solve -24 = -v*s + 1 for s. 5 Let q(h) = -3*h + 11. Let s be q(3). Solve 0 = s*c - c for c. 0 Suppose -33*i + 38*i - 10 = 0. Solve -i = 3*b - b for b. -1 Let u be 2/10 + 14/5. Suppose -u*t = -9*t. Solve d + d = t for d. 0 Suppose 4 = n - 13. Suppose -3*d = -16 - n. Suppose 9 + d = 2*b + 4*g, -3*b = -5*g + 25. Solve b = -p - p - 6 for p. -3 Let l = 29 + -20. Suppose 0 = -5*i, 0 = -3*p - 2*i + l + 6. Solve 0 = p*z - 5 + 20 for z. -3 Let h = -29 + 33. Solve -y - h*y - 15 = 0 for y. -3 Suppose 60 = 3*m + m. Let o = -12 + m. Solve -x + 8 = -o*x for x. -4 Let o(u) = u + 1. Let k be o(1). Suppose 3*b = -k*b + 20. Solve 0*p = b*p + 16 for p. -4 Let v be ((-30)/(-9))/(2/3). Suppose -2*r + v = -5. Solve -3*z = -r*z + 8 for z. 4 Let c = -12 + 26. Suppose -4*w - 2 = -18. Solve -34 = w*b - c for b. -5 Let v(k) = 4*k + 12. Let c(p) = -3*p - 8. Let x(f) = -7*c(f) - 5*v(f). Let i be 1/(-2) + 51/6. Let h be x(i). Solve -2*g = -h*g for g. 0 Let i = -1 + -11. Let q = i - -30. Solve -q + 6 = -4*d for d. 3 Let o = 6 - 6. Solve 5*g + 2 - 7 = o for g. 1 Suppose 8*y - 3*y - 15 = 0. Let z be (1 - y)*(-8 + 7). Solve -g - z = -3*g for g. 1 Suppose 15 = -3*z + 4*o, -2*o + o = -2*z - 5. Let v = 1 + z. Solve v*n + 4 = -n for n. -4 Let r(w) = w**3 + 4*w**2 - 3*w + 7. Let i be r(-3). Solve -i = 2*v - 7*v for v. 5 Let i = -158 - -160. Suppose 5*f - 18 - 32 = 0. Suppose -2 = -3*a + f. Solve -i*n = -a*n for n. 0 Suppose 2*b = 4*x - 3*b - 17, -2*x + 2 = 4*b. Solve -4*z = -x*z + 2 for z. -2 Let o(k) = 2*k**2 - 2*k + 2. Let a be o(2). Let s = 10 - a. Suppose -1 - s = -h. Solve h*i + 1 = -9 for i. -2 Let a = -10 + 12. Solve -a*q + 0 = 4 for q. -2 Let v be 16 + (4 - (-4)/(-4)). Let q = 0 - -5. Suppose 5*h = 2*f + v, -q*h - 4*f = -0 - 7. Solve h*n = 8 + 4 for n. 4 Let k(u) = u**3 + 10*u**2 + u - 3. Let j be k(-10). Let w = 13 + j. Solve d + w*d + 3 = 0 for d. -3 Let z(w) = -2*w - 4. Let b be z(-3). Let g = 4 - b. Suppose 2*u + g*u - 2*v = 16, 3*u - 2*v = 14. Solve -3 = -k - u*k for k. 1 Let j = -24 + 26. Solve 0 = -j*g - 5 + 1 for g. -2 Suppose 0 = 3*s - 5*u + 44, 0*s + 4*s = -5*u - 12. Let v be 2/s - (-85)/20. Solve v*g - 10 = -2 for g. 2 Suppose 3*k + 2 = -x - 4*x, -4*x - 12 = 5*k. Let o be -6*((-15)/x)/3. Suppose 3*z = 2*t - o, 0 = 5*t - 0*z + 4*z + 20. Solve t = -3*l + l - 6 for l. -3 Let d(n) = n + 5. Let j be d(-2). Solve j*c = 6 - 0 for c. 2 Let i = 14 + -10. Solve u + 1 = i for u. 3 Suppose -5*o + 4*l + 21 = 3*l, 3*l + 15 = 3*o. Solve -5*n - o = 16 for n. -4 Let a(f) = f**2 - 4*f + 9. Let w be a(6). Suppose -4*p + w = 3*g, 12 + 0 = g + 3*p. Solve 0 = g*n + 1 - 13 for n. 4 Let k be ((-1 + 2)*-1)/(-1). Solve k - 3 = n for n. -2 Let x = 7 + 1. Suppose -5*b + 33 = x. Let f be (-4)/6*(-3)/2. Solve f - 6 = b*t for t. -1 Let v(s) = s**2 + 7*s - 3. Let g be v(-8). Let p(t) = t - 1. Let i be p(5). Let n = g - i. Solve -1 = u + n for u. -2 Suppose 0 = y - 3*v + 5*v - 13, -2*y - 2*v = -16. Let o(n) = -n**3 + 4*n**2 - 2*n + 1. Let d be o(y). Solve 4*w - d - 4 = 0 for w. 2 Suppose 2 = -j - 3. Let m(p) = -p**3 - 4*p**2 + 3*p - 7. Let f be m(j). Solve -f*v - 5 = 2*v for v. -1 Suppose w + a - 10 = 4*w, 4*w + 3*a = 4. Let t be w/(-4*4/8). Solve -5*g - t = 14 for g. -3 Let n = -23 + 23. Solve n = -2*m + m for m. 0 Let c = -30 + 18. Let r(s) = -s**3 - 11*s**2 + 12*s + 2. Let o be r(c). Solve -5*m + o = -3 for m. 1 Let n(k) = -k**3 - k**2 + 2*k + 3. Let j be n(-2). Suppose x - j = -5*h, -12 = 2*h - 5*h - 4*x. Solve s = -h*s for s. 0 Let v(t) = t**3 + 13*t**2 + 12*t + 12. Let y be v(-12). Solve 2*w = -2*w + y for w. 3 Suppose 4*o = -4*h + 24, 2*o = -h + 8 + 1. Suppose a + 10 = o*a. Solve -a*b + 3 + 2 = 0 for b. 1 Let r(a) = -a**2 + 5*a + 1. Let m be (8/(-14))/((-10)/70). Let b be r(m). Solve 7 = b*i - 13 for i. 4 Let j = -6 + 10. Solve -10 + j = -2*r for r. 3 Let u(j) = -j**3 - j**2 + j. Let l be 3 + (3 - 6)*1. Let g be u(l). Solve g*h + 2 = -2*h for h. -1 Suppose -4*w = w. Let m(f) = -3*f**2 - f. Let o be m(-1). Let l = w - o. Solve x - l = -x for x. 1 Let i be (-210)/(-49) - 4/14. Suppose -34 = -5*j - 3*p, -2*p = -2*j - 0*j + i. Solve j*v - v + 20 = 0 for v. -5 Let y(r) = r + 4. Let t be y(-7). Let z be -6*(t + (-2 - -4)). Let g be (8/z)/(4/6). Solve -g*h = -h for h. 0 Let b = 4 - -6. Let c be (21/35)/(1/b). Solve 2*t + c = 4*t for t. 3 Suppose -4*j + 2 = 2*d, 3*d - j = -0*j + 17. Suppose q + 40 = 5*q. Solve -q = -0*a + d*a for a. -2 Let v be 4*(-3)/(-6) - -30. Suppose -4*q - v = 3*a - 5, -5*q - 5*a - 30 = 0. Let o be 2 + (-3)/q*3. Solve o = -k - 2 for k. -5 Let l = -5 - -5. Solve l*t = t for t. 0 Let o(x) = 1 - 3 + 1 + 2*x + 0. Let m be o(3). Solve 3*d - m = -2*d for d. 1 Let d(m) = -m**2 + 6*m + 9. Let t = -12 + 19. Let b be d(t). Solve 0 = -4*j + b*j + 2 for j. 1 Let q be 8/(-6)*90/12. Let o = -6 - q. Suppose -20 = -5*n - 5*i, -n - 8 = -4*i + 2*i. Solve o*m - 2 - 10 = n for m. 3 Let r(s) = 7*s**2 + s. Let u be r(-1). Suppose -5 = u*b - 23. Solve b*l - 2 = 7 for l. 3 Let t(s) = s**3 - 10*s**2 + 12*s - 9. Let v be t(9). Let l be 2/9 + (-4)/v. Let p be (0/(l - 2))/(-2). Solve 2*r + 0*r + 6 = p for r. -3 Suppose -4*t = -3*l, 3*t = -2*t - 4*l. Suppose 0 = -t*f - f. Solve -s - s = f for s. 0 Suppose -1 - 3 = -2*h. Suppose 0 = -6*y + h*y + 4. Suppose -2*g = 3*q - 4, 5*g = 4*q + 6 + 4. Solve -y = -j + g*j for j. -1 Suppose k - 4*k + 25 = -4*n, 2*k - 3*n - 18 = 0. Solve k = d + 2 for d. 1 Let m(q) be the second derivative of 5*q**3/6 - q**2/2 - 3*q. Let a be m(1). Solve 2*w = a*w + 2 for w. -1 Suppose 3*n = -5*t - 30, -3*t - 2*n - 30 = 2*t. Let o(p) = p + 11. Let i be o(t). Suppose -i*h = -h. Solve 0 = 2*z - h - 4 for z. 2 Let j(o) = -2*o**2 + 15. Let d be j(0). Solve 0*q + d = 3*q for q. 5 Let h(y) = 20*y**3 + 2*y**2 - y - 1. Let w be h(1). Solve 2*d + w = -3*d for d. -4 Suppose -2*g + 0*g = 0. Suppose 3*u - 25 = 5*u - 5*t, 5*u - 20 = -4*t. Solve g*l + 3*l + 9 = u for l. -3 Suppose 3*z = -z. Let a be (-3 - z)/(-3) - -5. Suppose 2*g = a*g - 16. Solve 0 = g*w - 0*w - 8 for w. 2 Let u be ((-9)/(-15))/((-2)/(-10)). Suppose 23 = 4*m - 5*c, -3*c = -2*m - 2*m + 17. Solve -m*g - 4 = -u*g for g. 4 Suppose 6 = -3*x + 3*o, -5*o + 31 = x + x. Solve -2*t = -5*t - x for t. -1 Let w(n) = -n**2 - 5*n + 2. Let d be w(-5). Let b = 3 - 0. Suppose -d*r = -b*r. Solve r = -a + 5*a for a. 0 Suppose -4*b = 5*n - 116, -n = -2*n - 2*b + 28. Suppose 0 - n = -5*h. Suppose 2*a = -m + 15, -m + 2*m + 5*a - 24 = 0. Solve -m*y + h*y = 0 for y. 0 Let a(z) = -z - 10. Let y be a(-14). Suppose 0 = -y*m - m - 4*g, 3*m = -4*g. Solve m*h + 3*h = 15 for h. 5 Let n(m) = -5*m**2 - 10*m + 7. Let q(d) =
{ "pile_set_name": "DM Mathematics" }
b) 6 (c) -293.947 a What is the second biggest value in -1/2, 0.4, -2, -508, -6, -4? -1/2 What is the biggest value in -0.007, 0.1, 0.0813, -3, 0.045? 0.1 Which is the fourth biggest value? (a) 2255 (b) 12 (c) 1/3 (d) 3/7 c What is the third smallest value in -1/5, -3, -0.0507, -2/7, 5, 0.44, 3? -1/5 Which is the seventh smallest value? (a) -6 (b) -0.5 (c) -0.4 (d) -1/3 (e) -0.0728 (f) 5/3 (g) 2 g What is the biggest value in 7335, 40, -0.04? 7335 What is the third smallest value in 2, -17/6, -2/41, -16/25, -7? -16/25 Which is the second smallest value? (a) -3297 (b) 15334 (c) 4 c What is the third biggest value in 200, 0.1, 76914? 0.1 Which is the second biggest value? (a) 4 (b) 0.5 (c) 1/10 (d) -5 (e) -44 (f) 165 (g) 1.3 a What is the smallest value in 4/5, -11, -2/9, -3, 1415/164, -4? -11 What is the fourth biggest value in -194, 0.2, 4, -2, 0.17, -15? -2 Which is the fifth biggest value? (a) 3/10 (b) -2/3 (c) -4 (d) -0.07 (e) -7/50 c Which is the smallest value? (a) 849 (b) 4 (c) -60/13 (d) 5 c Which is the second biggest value? (a) 0.1 (b) 213 (c) 0.33 (d) -4 (e) 2.3 (f) 39 f What is the third smallest value in 0.17, -16, 1, -1, -0.8, 1/10? -0.8 Which is the third smallest value? (a) -3/8 (b) 2/3 (c) 6527650 c What is the biggest value in 46, 1, 2/3, -0.13, -10, -486, 3? 46 Which is the fourth biggest value? (a) -72845 (b) 2/9 (c) -5 (d) -37 a Which is the second smallest value? (a) -2/21 (b) -2/7 (c) -14544.387 b Which is the smallest value? (a) 9 (b) 0.2454 (c) 1/5 (d) 2/5 (e) -1/22 (f) 2 e Which is the third smallest value? (a) -294245/3 (b) 7 (c) 0.5 (d) -0.1 c What is the third biggest value in -6, -0.3, -59168? -59168 What is the biggest value in -0.7234, 2, -13, 5, 1/2? 5 What is the third smallest value in 6, 154, -1.3, -0.04, -3/5? -0.04 What is the fourth biggest value in 5, 6/19, -4/5, 4.02, -4, 8? 6/19 Which is the second biggest value? (a) 2 (b) 1/6 (c) -1 (d) -2/9 (e) -2 (f) 29 (g) 188 f Which is the second biggest value? (a) 1 (b) -7/23 (c) -5 (d) 1575 a What is the third biggest value in -9158, -5, 10, 0.063? -5 Which is the third smallest value? (a) -1.76 (b) -28918 (c) 1 c What is the third biggest value in -5/9, -0.4, -22/7, 3, 125/2? -0.4 Which is the second biggest value? (a) -1/3 (b) 0.5203 (c) -1/4 (d) -44/3 c What is the smallest value in -5, 0.4, 3/8, -14, -3, -1, -2/47? -14 Which is the fourth biggest value? (a) -3 (b) 133 (c) -0.3 (d) -31 (e) 2/13 (f) 4 (g) -0.17 g What is the biggest value in 484, -2, -2/177, 0.41, 0.4? 484 Which is the third smallest value? (a) -0.033985 (b) -1 (c) -5 (d) 3 (e) -2 (f) -4 e Which is the third biggest value? (a) 1/7 (b) 6 (c) -2/19 (d) 744 (e) -1.62 a Which is the second biggest value? (a) -251 (b) 3 (c) 6713 b Which is the third biggest value? (a) 1/5 (b) 0 (c) 1/3996660 b What is the smallest value in 8/5, 1, -1.6, -3, -3/4, -1/12, 0.5? -3 What is the third biggest value in 180673, -3, -0.05? -3 Which is the third biggest value? (a) 7/2 (b) -2 (c) -10452512 c Which is the smallest value? (a) -4202 (b) 3 (c) 1/12 (d) 2 a Which is the smallest value? (a) -0.1 (b) -44/23 (c) -0.5 (d) -6 (e) 0.5 d What is the fifth biggest value in -17, 44, -0.2, -0.4, 1/65? -17 What is the second biggest value in -0.5, -21.2164, -0.29, -3? -0.5 Which is the smallest value? (a) 0 (b) 14 (c) 301684 a Which is the third smallest value? (a) -2 (b) 441 (c) 2 (d) -3 (e) -0.01 (f) 2/7 e Which is the smallest value? (a) -1/10 (b) -0.5 (c) -81/22 (d) 0.0165 c What is the biggest value in 645, -9, -2, 1/9, -0.16? 645 What is the biggest value in 2.7, 5, -0.0416, 9, -6, 2/3? 9 Which is the fourth smallest value? (a) 24978 (b) 9 (c) 0.5 (d) -2/7 a Which is the smallest value? (a) 18/5 (b) 3/5 (c) 3/10 (d) 1/3152 d Which is the second smallest value? (a) 73676 (b) 0.5 (c) -16 b What is the fifth smallest value in 0.2, -7, -17, 1/3, -116/297? 1/3 Which is the smallest value? (a) 927 (b) 1/5 (c) 1/7 (d) 6/13 c Which is the third smallest value? (a) -1/13 (b) 57/142 (c) 9 c What is the second biggest value in -4, -4746, 3, -7, 9? 3 What is the third smallest value in 7484004, -11, 1? 7484004 What is the sixth biggest value in 2/17, -12054, 2, -3/7, -3/5, -1/90? -12054 What is the fifth smallest value in -0.25, -2.085, 3, 0.14, 13? 13 Which is the second smallest value? (a) 0.1 (b) 0.5 (c) 2 (d) 6/49 (e) -2/9 (f) -3/11 (g) -6 f Which is the biggest value? (a) 56 (b) 4 (c) -31378/3 a What is the second biggest value in -2, 2, -0.235, 0, -1/3, -3/8, 0.3? 0.3 What is the fifth smallest value in -9/5, 249, -2/3, 0.5, 0.7, 5? 5 Which is the second biggest value? (a) -2 (b) -1 (c) -74.37 (d) -0.5 (e) 550 d What is the smallest value in 2/11, -5/6, -18, -1/130? -18 What is the third smallest value in -0.149, -8, -6498? -0.149 What is the third biggest value in -5, 13/5, 5, -349, 5/2, 1/5? 5/2 Which is the fifth biggest value? (a) -1 (b) 2 (c) 7/5 (d) -0.3 (e) -1515/4 e Which is the sixth biggest value? (a) 2 (b) 20/11 (c) 27 (d) -0.4 (e) -1/4 (f) 2/5 d Which is the second smallest value? (a) 14 (b) -0.069 (c) -2/13 (d) -1/19 (e) 7 (f) 2/5 b Which is the smallest value? (a) -0.05 (b) -2.01 (c) -1.5 (d) -4 (e) 4 (f) 0.19 d Which is the sixth biggest value? (a) -1 (b) -5 (c) 0.09 (d) 2 (e) 0.3 (f) 423 (g) 107 a Which is the fifth smallest value? (a) -4001 (b) -3 (c) -1/2871 (d) 2/5 (e) -2 d What is the fourth smallest value in 4, 0.4, 2, 0.561, 0.2, 0, 84? 0.561 Which is the sixth smallest value? (a) -9/7 (b) -22/37 (c) -6 (d) 44 (e) -0.5 (f) 2/7 d What is the biggest value in -0.4, 5, -11/3, 3/4, -293? 5 Which is the third smallest value? (a) 0.07 (b) -1714 (c) -0.11215 a What is the smallest value in -4, 0.4, -2/13, 23, -0.0388, -5? -5 Which is the third smallest value? (a) -0.2 (b) -1.6 (c) 2657/15 (d) -2/3 (e) -2/9 e Which is the third biggest value? (a) 4 (b) -152.28 (c) 3 b Which is the fourth biggest value? (a) 5 (b) -0.6 (c) -1 (d) 0.052 (e) 4 (f) -6 b What is the fourth smallest value in -4, 1/3, 0.092, -0.4, -3/67, 0, 0.4? 0 What is the seventh smallest value in -0.2, 3/2, -0.5, 156, 0.02, 1, 57? 156 Which is the second biggest value? (a) -5.3 (b) -0.36 (c) 2/7 b Which is the fifth smallest value? (a) 2/13 (b) 1709 (c) 5 (d) -2 (e) 2/3 b Which is the second biggest value? (a) 3 (b) -2 (c) -5 (d) -182 (e) -380 (f) 0.1 f What is the second smallest value in -6, -2/5, 4/97, 89.9? -2/5 Which is the second smallest value? (a) 9197 (b) 3/4 (c) 476/11 c Which is the second biggest value? (a) -1/2 (b) 0.05 (c) -2848 (d) 374/3 b Which is the second smallest value? (a) -2.5 (b) 218 (c) 54 (d) 3 d Which is the second biggest value? (a) 10/29 (b) -1520 (c) -49 c What is the third smallest value in 0.3, 7/2, -677930, -0.2? 0.3 What is the second biggest value in -0.2501, 48, -3? -0.2501 What is the fifth biggest value in 3/2, 85, -2, 3, -0.4, 7/2, -1? -0.4 What is the smallest value in -2/15, 7.0939, 163? -2/15 What is the seventh biggest value in -4, 3, -2/7, -20, 0, -1/6, -1317/4? -1317/4 What is the third biggest value in 57, 2/1027, 2/7? 2/1027 Which is the second biggest value? (a) 0.2 (b) -2/3325 (c) -0.8 (d) 155 a Which is the smallest value? (a) -4/9 (b) 58 (c) 0.87027 a Which is the fourth smallest value? (a) 2 (b) -4/5 (c) -69 (d) -0.03 (e) 0.05 (f) 0.002 (g) 5 f Which is the seventh smallest value? (a) -0.4 (b) 0.13 (c) -2/27 (d) 5 (e) 0.1 (f) 3 (g) 4/3 d What is the biggest value in 2/81, 4.8, 3/2, 31? 31 Which is the smallest value? (a) -0.026 (b) -2/7 (c) -1338/7 c What is the smallest value in 0.3, -108, 2/21, -5, -3/4, 4, -6? -108 Which is the second biggest value? (a) -0.1 (b) 37.3666 (c) -5 a Which is the second smallest value? (a) 3/31 (b) 19478 (c) 0.5 (d) 2 (e) 3 c Which is the smallest value? (a) -2/199 (b) 5 (c) -2177.88 (d) 2/13 (e) 3/7 c Which is the third biggest value? (a) -2/215 (b) 354 (c) -4/5 (d) 2/17 (e) -3 a Which is the fifth biggest value? (a) 2 (b) 0.173 (c) -5 (d) 0.2 (e) -4 (f) -1 (g) 59 f Which i
{ "pile_set_name": "DM Mathematics" }
Let d(x) = -3*x**2 + 4*x - 5. Let y be d(1). Let b(i) = -10*i**3 + 3*i**2 - 2*i + 7. What is the tens digit of b(y)? 0 Let x(l) = -l**3 - 5*l**2 + 2*l - 13. Let p be x(-5). Let v = p + 22. What is the units digit of (955/(-10))/(v/2 - 0)? 1 Let k = -14044 + 19678. What is the thousands digit of k? 5 Suppose 2270 = -29*b - 9185. Let u = b - -1338. What is the units digit of u? 3 Let v(p) = 3*p**3 - 3*p**2 + p + 27. Let u(b) = -10*b**3 + 8*b**2 - 2*b - 80. Let k(o) = 2*u(o) + 7*v(o). What is the units digit of k(6)? 3 What is the ten thousands digit of (-3414)/(-4)*(-3 + (8 - 848/(-48)))? 1 Let p = 216 + 127. Let s be (-12 + 22)/(-2 - -4). Suppose 8 - p = -s*r. What is the units digit of r? 7 Suppose -2*w - 5*c - 393 = 0, -4*w - 3*c = -6*w - 385. Let t = -45 - w. What is the hundreds digit of t? 1 Let q(b) = -16*b**2 - 10*b + 91 - 5381*b**3 + 5380*b**3 - 9*b. What is the hundreds digit of q(-19)? 5 Let t = -1215 - -859. What is the units digit of (t/2)/(-2) - (-7 + 1)? 5 Suppose 0 = 4*y + 3*z - 362, -2*y - 4*z + 2*z + 182 = 0. Suppose p - 5*u - 397 = y, 2*u + 1419 = 3*p. What is the tens digit of p? 7 Let l(y) = -227*y - 1271. What is the tens digit of l(-6)? 9 Let y(w) = w**3 - 4*w**2 + 10*w - 4. Let m = 56 + -52. Let o be y(m). What is the tens digit of (-16)/o + (-4278)/(-27)? 5 Suppose -5*o - 288 = -3*g, 5*g + 4*o = -0*o + 480. Let m be g/20 + (-8)/10. Suppose 5*n + 134 = 4*t - 39, -m*n = t - 17. What is the units digit of t? 7 Let h(s) = s**2 + 33*s - 23. Let m = 337 - 372. What is the units digit of h(m)? 7 Suppose 0 = -91*c + 167*c - 5796140. What is the units digit of c? 5 Let w(r) = 23*r + 13*r - r - 14 - 6*r. Suppose 0 = -5*g + 308 - 288. What is the hundreds digit of w(g)? 1 Suppose 6120 = -11*a + 17*a. Suppose -9*y = -4*s - 6*y + a, 3*y = -3*s + 765. What is the tens digit of s? 5 Suppose 0 = -8*q + 32 - 16. Suppose -3*p = q*u - 3379, 3*p + 4*u + 0*u - 3377 = 0. What is the tens digit of p? 2 Suppose 0 = -20*q + 48*q + 21*q - 151851. What is the thousands digit of q? 3 Suppose 5*k - 2*b - 1417 = 0, 16*k - 11*k + 2*b = 1413. Let l = 583 - k. What is the units digit of l? 0 Let h(r) = -17*r + 204. Suppose -2*v = 3*s + 45, -5*v - 157 = 4*s - 27. What is the units digit of h(v)? 4 Let g(b) = b**2 - 12*b - 106. Let v be g(18). Suppose 0*l = 2*a + v*l - 1998, -3*a = -l - 2977. What is the units digit of a? 4 Let s be 38*(-69)/(-12) + (-9)/(-18). Let w = s - -102. What is the units digit of w? 1 Let c be -1 - (-13)/11 - 8/44. Suppose c = -9*a - 0*a + 126. Suppose a*t = 4*t + 1810. What is the tens digit of t? 8 What is the units digit of 368726/12 - (-23)/(-138)? 7 Let s(n) = -n**3 - 5*n**2 - n - 3. Let u be s(-5). Suppose 7*z = u + 19. Suppose 336 = -z*j + 7*j. What is the units digit of j? 4 Let d = 796 - 558. Let u = d + -134. What is the tens digit of u? 0 Let i = 5847 + -36. What is the units digit of i? 1 Let a = -22 - -72. Let o = 77 - a. What is the hundreds digit of (-79)/(o/(-6) + 4)? 1 Suppose 56 = -2*g + j, g = 3*j - 62 + 34. Let p be (-1 + -1)*1 + 32. Let c = p + g. What is the units digit of c? 2 Let g(a) = -a**3 + 7*a**2 + 15*a - 12. Let u be g(8). Let r = u - 44. Suppose -5*h + 97 + 408 = r. What is the units digit of h? 1 Let z = -4 - -18. Suppose -m - m - z = 0. Let f(t) = -12*t. What is the units digit of f(m)? 4 Let k be 2/(((-45)/(-10))/9). Suppose 0 = 2*v - k*u + 6, -3*v - 2*u + 4 + 11 = 0. Suppose 4*l - n - 282 = 30, l - v*n - 78 = 0. What is the tens digit of l? 7 Let v(r) = -r**2 + 15*r + 116. Let p be v(17). Let f = p - -1624. What is the thousands digit of f? 1 Let i be 2/(-4)*(-81 + 63). Suppose 16*r - 4648 = i*r. What is the hundreds digit of r? 6 Suppose -48*x + 56*x + 72 = 0. Let v(h) = -h**3 - 6*h**2 - 30*h - 2. What is the units digit of v(x)? 1 Let c(w) = -w**3 + 20*w**2 - 25*w - 38. What is the tens digit of c(12)? 1 Let s(f) = 51*f + 72. Let a be (40/20)/((-29)/(-9) - 3). What is the tens digit of s(a)? 3 Let n = 6398 - -4896. What is the hundreds digit of n? 2 Let a = 9 + -6. Let v(f) = -2*f - 7 + f**a - 61*f**2 - 67*f**2 + 129*f**2. What is the units digit of v(4)? 5 Let p be ((-56)/(-10) + -6)*-1585. Let n = -322 + p. What is the tens digit of n? 1 Let x = 4692 - 1604. What is the hundreds digit of x? 0 Let f(y) = 1393*y**2 + 44*y + 70. What is the hundreds digit of f(-2)? 5 Let q = 278 + -278. Suppose -p - 1433 = -4*x - q*p, 2*x + 4*p = 712. What is the hundreds digit of x? 3 Suppose 3*d - 8*d = 25, 5*z - 120 = 5*d. Suppose z*m - 5967 = 2051. What is the units digit of m? 2 Let t(d) = 23*d - 4. Suppose 10*u + 3 = 9*u. Let q be (-2 - u)/((-1)/(-2)). What is the units digit of t(q)? 2 Let n(p) = 228*p**2 - 165*p - 1424. What is the units digit of n(-16)? 4 Suppose 0 = 14*o + 9*o - 116150. What is the hundreds digit of o? 0 Suppose -4*k = -41*r + 45*r - 464, -4*k + 3*r + 436 = 0. What is the tens digit of k? 1 Suppose -1512 = 23*c - 224. What is the hundreds digit of (3/(-12))/(3/87)*c? 4 Let h = 9 + -16. Let l(z) = -4*z**3 - 12*z + z**3 - 26 - 7*z**2 + 2*z**3 + 14. What is the tens digit of l(h)? 7 Let p be -2*((-187)/22 - -9). Suppose j - 2*j + g = -5, -25 = -3*j + g. Let l = j + p. What is the units digit of l? 9 Let o(g) = -93*g + 216. Let f(j) = 186*j - 432. Let c(q) = -3*f(q) - 5*o(q). What is the hundreds digit of c(-8)? 9 Let r = -13 - -18. Let y(t) = 2*t**2 - 5*t - 1. Let i be y(r). Suppose 0*j - 2*j + 26 = 5*o, -4*j + i = 3*o. What is the units digit of o? 4 Suppose -277 - 533 = -9*k. What is the tens digit of 1100/k - 2/9? 1 Let c = -20 + 24. Suppose c*h + 4*l - 2536 = 0, -4*h = 2*l - 3196 + 656. What is the tens digit of 2/(-7) + -3 + h/21? 2 Suppose -20 + 5 = -i. Let a be ((-6)/i)/((-1)/5). Suppose c - 85 = -a*r, 4*c - r = -c + 403. What is the units digit of c? 1 Let c = -212 + 220. What is the tens digit of (c/6)/(0 - 10/(-2265))? 0 Let m = 40460 - 3818. What is the tens digit of m? 4 Suppose -5*a - 26071 = -4*v, v + 4*v + 5*a - 32600 = 0. What is the thousands digit of v? 6 Let j(w) = 11625*w - 3590. What is the thousands digit of j(5)? 4 Let j(o) = 35*o**3 - 9*o**2 + 250*o - 2636. What is the tens digit of j(10)? 6 Let w = -56037 + 116020. What is the tens digit of w? 8 What is the units digit of (-12)/54 + (378281/9 - 1)? 0 Suppose -2*f + 148 = -6*w + 8*w, -f + 1 = 0. Let a = w - -347. Suppose -12*j - a = -3084. What is the tens digit of j? 2 Let b be (-3 - (-15845)/35)/((-8)/(-28)). Suppose 0 = -3*z + 1249 + b. What is the tens digit of z? 4 Suppose 0 = 3*j - 11 - 43. Suppose -q - y - 1 = 0, 2*q - j = 3*y + 5. Suppose 202 = 6*h - q*h. What is the tens digit of h? 0 Let t(y) = -45 - 32*y + 25*y - 75*y - 16*y - 71*y. What is the hundreds digit of t(-9)? 4 What is the hundreds digit of ((-1)/2)/((-4)/56*7)*4066? 0 Suppose 4*c = -3*y - 6, -7*c + 8*c - 3*y + 9 = 0. Let p(k) = -27*k**3 - 4*k**2 - 2*k + 16. What is the tens digit of p(c)? 1 What is the hundreds digit of (23178/21)/((-92)/(-322))? 8 Let z = 54 - 44. Let k = -7 + z. Suppose 2*c - k*v - 76 = 132, 2*c + v = 200. What is the tens digit of c? 0 Let u be (-4 - 8) + (-4 - -9). Let f(z) = 6*z + 37. Let v be f(u). What is the units digit of -1 + -2 + (v - -88)? 0 Let t = 3 + -5. Let b(x) = -x**2 - 38*x - 101. Let q be b(-3). What is the units digit of (q/(-3))/(t/129)? 6 Let t = 223 - 154. Suppose t = -2*g - 153. Let l = g + 193. What is the units digit of l? 2 Let b(a) = -101*a**2 - 14*a + 28. Let m be b(2). Let d = m - -1207. What is the units digit of d? 3 Let f(g) = 169*g**2 - 11. Let m be f(-3). Suppose -26*u + 1714 = -m. What is the tens digit of u? 2 Let m = -52 - -81. Let n = m - 4. Let q = n + 34. What is the tens digit of q? 5 Suppose -r = 2*g - 30679, -3*r = -2*g + 40178 - 9511. What is the hundreds digit of g? 3 Suppose -3*s + 0 = 5*d + 13, 4*s - 2*d - 26 = 0. Suppose -13 = -s*u + 3. What is the tens digit of (-2)/u*-6 + 32? 3 What is the hundreds digit of 2108 - 7/(84/192)? 0 Let a be (4/(-6))/(3*3/(-324)). Suppose 5*g + a = 9*g. What is the units digit of g/12*(64 - 2)? 1 Suppose -g = 3*w - 1050, 3*w - g - 1407 = -w. Let f = 605 - w. What is the hundreds digit of f? 2 Let p(b) = b**2 + 51*b - 67. Let d be p(31). Suppose 30*s - d = 21495. What is the tens digit of s? 9 Let c = 107 - 39. Let y = 147 - c. Let o = y - 67
{ "pile_set_name": "DM Mathematics" }
. 0 Let d(m) = -11*m - 26. Let y(b) = -b - 15. Let i(x) = 2*x + 13. Let p(v) = 3*i(v) + 2*y(v). Let u(g) = -3*d(g) - 8*p(g). Calculate u(-10). -4 Suppose -4*t + 3 = 5*l, -5*l + l + t - 6 = 0. Let z(y) = 35 - 101 + 33 + 33 - 6*y. Determine z(l). 6 Let j(g) = 5*g**3 - g**2 + 1. Let m be j(1). Let y(x) = -x - 71. Let n(l) = -l**2 + 14*l + 355. Let r(u) = n(u) + 5*y(u). Give r(m). 20 Let p(s) = -19381*s**3 - 4*s + 7 + 6*s + 3*s**2 + 19380*s**3. Give p(5). -33 Let f(z) = 3*z**2 - 13*z - 4. Let g be f(4). Let b(v) = -v**3 - 7*v**2 + 11*v + 13. Give b(g). -11 Let a(i) be the third derivative of i**5/60 + i**4/12 - i**3/3 - 119*i**2. Give a(3). 13 Let f(g) = g**3 - g**2 - g + 14. Suppose -1 = o - 5. Let h be 0/(3/12*o). What is f(h)? 14 Let f(d) be the third derivative of -d**5/60 + d**4/4 - 7*d**3/6 + 723*d**2. Let g be (-44)/(-7) - 2/7. Give f(g). -7 Let a(r) be the first derivative of 3*r**4/2 - r**3 + 2*r**2 - 2*r + 395. Give a(2). 42 Let i(y) = 93*y - 2. Let g(k) = 325*k - 6. Let o(p) = 2*g(p) - 7*i(p). Let h = 2 - 2. Calculate o(h). 2 Let i = -243 + 245. Let r(p) be the second derivative of 1/12*p**4 - 4*p + 1/2*p**3 + 0 - i*p**2. What is r(-5)? 6 Let r(q) = 13*q**3 - 2*q**2 + q - 4. Let c = 30 + -21. Let o(h) = 26*h**3 - 5*h**2 + 2*h - 9. Let g(p) = c*r(p) - 4*o(p). Determine g(-1). -12 Let j(o) be the first derivative of -26*o**3/3 + 10*o**2 - 4*o + 20. Let d(m) = -5*m**2 + 4*m - 1. Let b(g) = -11*d(g) + 2*j(g). Give b(2). 7 Suppose -16*z = -12*z - 120. Suppose 0 = 5*k + z + 10. Let g(p) = p + 12. What is g(k)? 4 Let y(b) = -64 - 8*b**2 + 30 - b**3 + 2*b**3 + 32 + 8*b. Calculate y(6). -26 Let p(n) = n**2 - 3*n - 8. Suppose 41*u = 15*u + 104. What is p(u)? -4 Let w(q) = -2*q - 9. Suppose -2*v = 2*k - 0*k + 18, 0 = -v - 4*k - 21. Let m be w(v). Let r(i) = -4*i**3 - i. What is r(m)? -5 Let z(x) = -5*x + 1. Let y be (-84)/(-8)*(-2)/3. Let v(m) = -m**2 - 9*m - 10. Let j be v(y). Suppose 5*c = j + 1. What is z(c)? -4 Let f(k) = -98 - 6*k + k**2 - 101 - 100 + 293. Let d be (-2)/4 + 69/6. Suppose -w = 2*j - 9, 0 = 3*j + w + w - d. Calculate f(j). 1 Let n(u) = 2*u - 6. Suppose -5*v + 7 + 3 = 0. Suppose -4*f = -v*p - 8, 4*f - 9*f + 10 = 4*p. Suppose p*q + 2*q - 10 = 0. Calculate n(q). 4 Let o(r) be the third derivative of 7*r**4/12 + r**3/6 - 40*r**2. Determine o(-4). -55 Let r(h) = -h**2 + 16*h - 5. Let y(b) = -b**2 + 19*b - 6. Let g(o) = -7*r(o) + 6*y(o). Determine g(1). 2 Let j(r) be the second derivative of -1/4*r**4 - 2*r**3 - 10*r + 0*r**2 + 1/60*r**5 + 0. Let y(i) be the second derivative of j(i). Give y(6). 6 Suppose 12 = -0*h + 6*h. Let g(c) = 1 - 3 - c + 0*c + 5*c. Calculate g(h). 6 Let d(s) be the first derivative of 35 + 1/2*s**2 + 6*s + 1/3*s**3. What is d(0)? 6 Let z(l) = -l**2 - 6*l + 3. Let p(d) = -4*d + 44. Let y be p(11). Let v be (y + (-10)/(-4))/(2/(-4)). What is z(v)? 8 Let m(v) = v**2 - 4*v + 1. Let a be m(4). Let b(x) be the second derivative of -x**5/20 + x**4/12 - x**3/6 + 15*x. Determine b(a). -1 Let f(w) be the second derivative of w**3/3 - 5*w**2/2 - 2*w. Let j be -4 + 9 + (-10)/(-10). Determine f(j). 7 Let j(r) be the second derivative of r**4/3 + r**3/2 - r**2 - 3*r + 58. Calculate j(3). 43 Let j(l) = l**2 + 2*l + 1. Let f be (-1 + -3)*(-24)/16. Let r be 6/(f/2)*-1. Give j(r). 1 Let w = 16 - -25. Suppose n = 3*i - 7, -5*n = 6*i - 2*i - w. Let y(v) = -v + 7. Calculate y(n). 2 Suppose 3*y - 16 = -j, 5*y - 33 = -3*j - 1. Let b(u) = -4*u**2 - 1. Let w(o) = -15*o**2 - 3*o - 5. Let t(m) = 4*b(m) - w(m). Determine t(y). -3 Let b(y) = -y**3 + 3*y**2 + 5. Let o = 580 - 576. Determine b(o). -11 Let p(u) = 19*u. Let j(g) = -52*g. Let w(q) = 4*j(q) + 11*p(q). Determine w(1). 1 Let k = -6 - 4. Let q(h) = h**3 + 11*h**2 + 11*h + 7. Calculate q(k). -3 Let p(m) be the third derivative of -m**5/60 + m**4/4 + m**3/6 - 3*m**2. Let w = 3 + 5. Let z be (w/(-32))/((-2)/24). Give p(z). 10 Let s(f) = f**2 + 3*f + 2. Suppose 0 = 2*h + 2*h + 20. Let d(c) = -c**3 - 6*c**2 + 8*c + 9. Let g be d(-7). Let y = g + h. Calculate s(y). 2 Suppose 3*f - 79 = -2*l + 12, 125 = 4*f - l. Let k = 24 - f. Let c(w) = w + 9. Determine c(k). 2 Suppose -19*g + 2 - 135 = 0. Let f(k) = -2*k - 24. What is f(g)? -10 Let n be -2 + (-8)/(-2) + -1 + -1. Let i(r) = r**3 + r**2 - 2. What is i(n)? -2 Let n be -1*(-3)/(-9)*-9. Let b(w) = w - 6. Let c be b(n). Let t(o) be the first derivative of -o**2 - 2. Calculate t(c). 6 Let l(m) = -3*m + 0 - 5 + 2*m. Let q(u) = -u**3 + 5*u**2 - 8*u + 11. Suppose 3*k - 5*d - 22 = 0, 8*k = 3*k + 5*d + 30. Let c be q(k). Determine l(c). 0 Let t(h) be the first derivative of h**7/840 + h**6/40 + 7*h**5/120 - 4*h**3 - 3. Let p(s) be the third derivative of t(s). What is p(-8)? 8 Let p = 459 - 461. Let u(t) = 3*t - 5*t + 4*t - t - 1. Calculate u(p). -3 Let s(j) = -j + 1. Let g = 211 - 209. Determine s(g). -1 Let m(n) = 2*n - 2. Let w(b) = b - 1. Let i(x) = -m(x) + 3*w(x). Let h(p) = -10*p - 4. Let r(c) = -h(c) - 8*i(c). Determine r(-8). -4 Let n be (-6)/(-4)*98/21. Let m(k) = -k. Let v(l) = -l**3 + 6*l**2 + 5*l - 1. Let f(j) = 2*m(j) - v(j). Determine f(n). 1 Let y = -10 + 11. Let l(a) be the first derivative of 2*a**3/3 + a**2/2 + 8. Calculate l(y). 3 Suppose -4*q + a + 8 + 6 = 0, -q = -3*a - 9. Let w be (3/7)/(q/21). Let i(h) = -h + 1. Let g(f) = 4*f - 5. Let n(c) = -g(c) - 3*i(c). Determine n(w). -1 Let c(i) = 3 + 7 - i + 9 - 4 - 11. What is c(-16)? 20 Let s be (-20)/(-50) + 23/5. Let w(k) = 36*k**3 + s*k - 3*k**2 + 28*k**3 - 4 - 63*k**3. Calculate w(3). 11 Let w(a) = a**3 - 4*a + 3. Let y be w(2). Let u(k) = -k**2 - 23*k - 16. Let p(r) = -r**2 - 16*r - 11. Let n(z) = -7*p(z) + 5*u(z). What is n(y)? 6 Let i(j) = 25*j**2 + j - 1. Let u = 384 + -383. Give i(u). 25 Let w(u) be the third derivative of u**6/120 + u**5/12 - 7*u**4/24 + 5*u**3/6 - 117*u**2. Give w(-6). 11 Let o be ((-1)/(-3))/(2*(-9)/54). Let z(h) = -h + 1. What is z(o)? 2 Let p(z) = 4 - 5 - 1. Let n(h) = -h**2 + 5. Let k(w) = 3*n(w) + 8*p(w). Give k(-1). -4 Suppose 0 = -5*w + 3*m + 66, -4*m - 23 = -5*w + 40. Let f(c) = -c - 2*c**2 + 5 - 4*c**2 + 11 - w. Give f(1). -6 Let l(x) be the third derivative of -x**6/60 - x**5/30 + x**4/8 + x**3/2 + 35*x**2. Let j = -11 - -16. Suppose -5*g = 5*t + 30, j*t + 24 = g + 6. What is l(g)? 5 Let a(s) = 13*s - 609. Let u be a(47). Let p(j) = 2*j**3 - 3*j**2 + 2*j - 3. What is p(u)? 5 Let v(x) be the second derivative of x**6/120 + x**5/12 - x**4/6 - 7*x**3/6 + 25*x**2/2 + 31*x. Let l(d) be the first derivative of v(d). What is l(-5)? 13 Suppose 0 = 2*c - 0*v - v - 5, -2*c - 5*v - 13 = 0. Let d(j) = 9*j**3 + 1. Give d(c). 10 Let d = 387 + -398. Let b(k) = -k**3 - 10*k**2 + 12*k + 7. What is b(d)? -4 Let h(o) = -5*o**2 - 4*o - o**2 + 8*o**2 - 5*o**2. What is h(1)? -7 Suppose 0 = 33*v - 41*v - 24. Let p(k) = 3*k**3 - 2*k**2 - 3*k - 8. Let f(j) = -4*j**3 + 2*j**2 + 4*j + 9. Let q(l) = -4*f(l) - 5*p(l). Calculate q(v). -2 Let c(b) = 3*b**3 - 1. Let i = -14 - 16. Let l = i + 31. Calculate c(l). 2 Let d(c) = -5*c**2 + 747 - 745 + 6*c**2 - 7*c. Determine d(6). -4 Let u(c) = -1 - 6 + 6. Let h(t) = -t**3 - 4*t**2 + t - 8. Let y(p) = -p**3 + 2*p**2 + 3*p - 1. Let j be y(3). Let z(l) = j*h(l) + 3*u(l). Determine z(-4). 9 Let j be 7 - 4*1/2. Suppose -j = -2*v + 1. Let z(r) = 4 + 6 + 5*r + 11 - 3*r - 20. Determine z(v). 7 Let q be (-117)/7 + (-4)/14. Let k = 20 + q. Suppose -k*y - 3 = -a, 0 = 5*a - 3*y + 2*y - 15. Let u(n) = 3*n. Determine u(a). 9 Let u(m) = -m**3 - 9*m**2 - 10*m - 11. Suppose 10*f - 530 - 190 = 0. Suppose -c - f = 8*c. Determine u(c). 5 Let w(u) be the first derivative of -5*u**3/3 - 2*u - 119. Calculate w(2). -22 Let a(s) = 7*s - 3*s - 9 - 3*s. Give a(10). 1 Let w(d) be the first derivative of -d**2 - 11*d - 28. Calculate w(-9). 7 Let s be (8/2)/((-14)/(-21)). Let k(c) be the first derivative of -c**3/3 + 3*c**2 + 4*c + 177. Give k(s). 4 Let u(s) = 2*s - 2. Let t = -35 + 33. What is u(t)? -6 Let u(g) = -g + 11. Let r be u(5). Let j(h) = 7 + 0*h**3 + 3*h**3 - r - h**3. Determine j(-1). -1 Suppose 2*p + 42 = 3*p. Let d be (-4)/14 - 30/p. Let x(t) be the first derivative of -t**4 + t**2/2 + t - 2. Determine x(d). 4 Let z(b) = 12*b + 21. Let x(s) = -3*s - 5. Let m(l) = l**2 + 18*l - 21. Let g be m(-19). Let h(r) = g*z(r) - 9*x(r). Calculate h(-7)
{ "pile_set_name": "DM Mathematics" }
s the next term in -1412, -1317, -1146, -893, -552, -117, 418, 1059? 1812 What comes next: -15782937, -31565884, -47348831, -63131778, -78914725? -94697672 What is next in 5952, 12077, 18280, 24561, 30920, 37357? 43872 What is the next term in -45550, -91772, -138662, -186220? -234446 What is next in 10636276, 21272572, 31908868, 42545164? 53181460 What is the next term in -108172, -216494, -324806, -433102, -541376? -649622 What is next in -1843588, -3687395, -5531202, -7375009? -9218816 What comes next: -879, -2579, -5435, -9465, -14687, -21119, -28779? -37685 What comes next: 380, 1922, 3876, 6242? 9020 What is next in 134, -1994, -5530, -10468, -16802, -24526, -33634, -44120? -55978 What is the next term in -45773073, -91546141, -137319209, -183092277, -228865345? -274638413 What comes next: -9130, -39125, -89116, -159103, -249086, -359065, -489040? -639011 What is the next term in -9986, -22504, -35036, -47588, -60166, -72776? -85424 What is the next term in -31178123, -31178121, -31178119, -31178117, -31178115, -31178113? -31178111 What comes next: -426296, -426808, -427320, -427832, -428344, -428856? -429368 What comes next: 15891, 57387, 126545, 223365, 347847, 499991, 679797? 887265 What is next in -21576, -42458, -62662, -82188, -101036? -119206 What is next in 107732, 107635, 107538, 107441? 107344 What is the next term in 237464, 237477, 237522, 237605, 237732? 237909 What comes next: 689, 1105, 1781, 2705, 3865, 5249? 6845 What is the next term in -310812, -310819, -310828, -310839, -310852, -310867, -310884? -310903 What comes next: -1606, -3868, -7660, -12982, -19834? -28216 What comes next: -3565, -3877, -4223, -4597, -4993, -5405, -5827? -6253 What comes next: -28697, -57208, -85525, -113648, -141577, -169312, -196853? -224200 What is next in 29862, 29850, 29810, 29736, 29622, 29462? 29250 What is next in -15567166, -31134319, -46701472, -62268625, -77835778? -93402931 What is next in -701, -2840, -6353, -11198, -17333, -24716, -33305? -43058 What comes next: -38029, -37656, -37267, -36856, -36417, -35944, -35431, -34872? -34261 What comes next: -7969659, -15939323, -23908991, -31878663, -39848339, -47818019, -55787703? -63757391 What comes next: -725, -983, -1399, -1979, -2729? -3655 What comes next: -1776, -2948, -4356, -6006, -7904, -10056, -12468, -15146? -18096 What is next in -219117, -219358, -220007, -221268, -223345, -226442? -230763 What is next in 587530, 2350088, 5287684, 9400318, 14687990? 21150700 What is the next term in -8861, -17835, -26929, -36143, -45477? -54931 What is next in 125779, 256479, 387179, 517879, 648579, 779279? 909979 What is the next term in -13662, -54195, -121748, -216321, -337914? -486527 What comes next: 1130, 2170, 3098, 3914, 4618? 5210 What comes next: 70458, 140797, 211134, 281469, 351802, 422133, 492462? 562789 What comes next: -348702, -696857, -1045012, -1393167? -1741322 What is next in 72602, 146891, 221180? 295469 What comes next: -114170, -456624, -1027354, -1826354, -2853618, -4109140, -5592914, -7304934? -9245194 What is the next term in 31069, 248319, 837883, 1985881, 3878433, 6701659, 10641679? 15884613 What is the next term in 14727, 29790, 44841, 59874, 74883, 89862? 104805 What is next in 3158842, 6317673, 9476502, 12635329, 15794154? 18952977 What comes next: 280734, 561646, 842558? 1123470 What is the next term in -273, -3278, -11503, -27558, -54053, -93598, -148803, -222278? -316633 What is the next term in 5629, 7782, 11339, 16276, 22569, 30194? 39127 What is next in 71192, 142564, 213934, 285302, 356668, 428032? 499394 What is the next term in -91103, -88741, -86379, -84017, -81655, -79293? -76931 What comes next: 215688, 431373, 647068, 862779, 1078512, 1294273? 1510068 What comes next: 4750, 12700, 20648, 28594, 36538, 44480, 52420? 60358 What comes next: 37584, 34951, 30562, 24417, 16516, 6859? -4554 What comes next: -51689, -51712, -51759, -51842, -51973, -52164, -52427, -52774? -53217 What comes next: -879010, -3516076, -7911190, -14064352, -21975562? -31644820 What is next in 31528904, 63057816, 94586728, 126115640? 157644552 What comes next: 4415868, 8831734, 13247600, 17663466? 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339070 What comes next: -4079, -852, 4527, 12064, 21765, 33636? 47683 What is next in 578, 1591, 3550, 6929, 12202? 19843 What is next in -2787373, -2787372, -2787371, -2787370? -2787369 What is next in -4655572, -4655567, -4655562, -4655557, -4655552, -4655547? -4655542 What is the next term in 918900, 1837794, 2756688? 3675582 What is next in -188069377, -188069375, -188069373? -188069371 What comes next: 455690, 913031, 1370372, 1827713? 2285054 What is next in 750293455, 750293454, 750293453, 750293452, 750293451? 750293450 What is next in -4736739, -4736736, -4736733, -4736730? -4736727 What comes next: -389, -1456, -3165, -5516? -8509 What is the next term in 9217, 18318, 27297, 36154, 44889? 53502 What is next in 13657547, 27315092, 40972637, 54630182, 68287727? 81945272 What comes next: -134311, -268382, -402207, -535786, -669119, -802206, -935047? -1067642 What comes next: -4289294, -8578586, -12867878? -17157170 What is next in -2096994, -2096994, -2096992, -2096988, -2096982? -2096974 What is next in 1385179, 2770346, 4155513, 5540680, 6925847? 8311014 What comes next: -240432, -480837, -721242, -961647, -1202052? -1442457 What is the next term in 29693, 29711, 29781, 29927, 30173, 30543, 31061, 31751? 32637 What is next in -10504, -21089, -31678, -42271, -52868, -63469? -74074 What is the next term in -1912, -4462, -6986, -9484, -11956, -14402, -16822? -19216 What is next in 1173, 3178, 6201, 10236, 15277? 21318 What is the next term in 83769, 83247, 82719, 82185, 81645, 81099? 80547 What is next in 7537543, 30150178, 67837903, 120600718, 188438623, 271351618? 369339703 What is the next term in 1709814, 1709830, 1709866, 1709928, 1710022, 1710154? 1710330 What is the next term in -18240068, -36480136, -54720204, -72960272, -91200340, -109440408? -127680476 What is the next term in 3580, 6248, 8916, 11584, 14252? 16920 What comes next: 2254310, 2254625, 2254940, 2255255? 2255570 What is the next term in -106652, -426910, -960746, -1708160? -2669152 What comes next: 21880, 174548, 588808, 1395454, 2725280, 4709080, 7477648? 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{ "pile_set_name": "DM Mathematics" }
**2 - 86*r + 1310. Let q be b(19). Solve -2*v - q = -9*h - v, -v - 17 = -4*h for h. 4 Let n(w) = -w**2 + 6*w + 15. Let s(k) = -k**2 + 5*k + 14. Let y(x) = -6*n(x) + 7*s(x). Let h be y(-3). Solve 0 = -2*d - 4*m - 18, 2*m + 3*m = h*d for d. -5 Suppose -309 = k + 2*d, 3*d = 3*k - k + 597. Let m = k - -306. Solve 3*q - 5*s = 10, -m*q = -0*s + 2*s - 17 for q. 5 Let k(g) = 3*g - 38. Let u be k(14). Suppose 2*c - 7 = 5*c - u*v, -5*c - 3*v = -27. Let j be 4 + -2 + 0/c. Solve -5*d - 2 = 2*f + 8, -d = 3*f + j for f. 0 Let c(j) = j + 3. Let r be c(11). Suppose 7 + 21 = r*s. Solve -6 = -4*y + s*v, y - 3*y - 12 = 4*v for y. 0 Let d be (126/35)/(6/40). Suppose d*l = 37*l - 208. Solve 5*r = -3*w - 19, -2*w = 2*r + 3*r + l for r. -2 Let t(c) = -c**2 + 15*c + 454. Let r be t(30). Solve x - r = -m, -31*m = -36*m + 5*x + 20 for m. 4 Let w(f) = f**3 - 7*f**2 + 19*f + 6. Let a be w(6). Let k be (7/a*4)/((-1)/(-15)). Solve -2*z + 0*y + 1 = -3*y, -2*z + 9 = k*y for z. 2 Let m(k) = -3*k**3 - 14*k**2 + 10*k + 29. Let n be m(-5). Solve -5*i + 2 = -6*i - h, n*i = 4*h + 16 for i. 1 Suppose 15 = -7*c + 20 + 79. Solve -7*x + c = u, 6*x = 7*x - 2 for u. -2 Let m = -7938 - -7940. Solve 2*r + f + 6 = -4, -m*r - 2*f = 10 for r. -5 Let s = 2 + -1. Suppose 0 = -54*k + 20*k - 5780. Let o = -157 - k. Solve 3*a + o = -3*g + 2*a, g = -3*a + s for g. -5 Suppose -4*t - 2*v + 22 = 0, -4*t + 9 = 4*v - 23. Solve -3*a = 5*l - 3 - t, -2*a = 6 for l. 3 Let d = -213 - -193. Let y be (-3)/12 + 5 + 95/d. Solve u + 1 = -3*l - u, -3*l + u - 4 = y for l. -1 Let v be (9/(-4))/((-11)/(-12) - 1). Let p be (-9)/6*(-3)/(v/24). Let d be (-253)/(-92) - ((-1)/p + 1). Solve s + 3*n - n = -5, 2*s - d*n = 2 for s. -1 Let x(s) = -2*s**2 + 37*s + 21. Let c be x(19). Suppose c*t + 60 = 12*t. Solve 0 = -2*z - 2*l - t, 4*l + 8 + 0 = 0 for z. -1 Let n be 10 - ((-11)/((-462)/24) + (-630)/(-98)). Solve 2*i = 5*z - 11, 5*z = n*i + 2 + 7 for i. 2 Suppose -3*v + 91 = 4*l + 25, -5*v = 4*l - 54. Solve -2*g + 3*h = 2*h - 4, 5*g + 3*h = l for g. 3 Let w = -673 + 673. Let b = 31 + -18. Suppose -7 - b = -5*m. Solve 2*i = m*r - 11 + 3, w = 2*r - 6 for i. 2 Let a be 72/(-18) - (-7 + 1). Suppose 0 = 6*c - 2*c + s - 14, a*c + 4 = 5*s. Solve c*n + 19 = -2*z, -z + 30 = -4*n - 6*z for n. -5 Let r = -153 + 158. Let d = 21 - 19. Suppose -d*a + 7 = s - 8, 0 = -4*a - 4. Solve s = 3*c + 5*k, -4*c + r*k + 11 = -0*c for c. 4 Let i = 5029 - 5003. Solve -3*k = -h - 4, 7*k - 5*k = -4*h + i for k. 3 Suppose 14832*y - 14878*y = -920. Let h = 5 + -3. Solve 4*z = -h*a + y, -4*a + 5*z = 2 + 10 for a. 2 Suppose -z + 45 = 166*v - 162*v, -3*z - 5 = -8*v. Solve z*j + 2*c = 16*j - 14, 0 = 3*j + c + 17 for j. -4 Let g be (-20)/(-15) + (-6)/(-9). Let f be g/17 - ((-1248)/(-204) + -9). Solve 0 = -2*a - c + 10, 5*a + 3 = f*c + 28 for a. 5 Suppose -8*h + 33 + 27 = -44. Solve -3*y - 2 = -4*q + h, -q + 2*y = -10 for q. 0 Let j be 4/(-12) - 20/(-6). Let g = -161 + 145. Let o = 20 + g. Solve o*h - 8 = 0, -5*h = -j*c - 2*h for c. 2 Suppose q + w - 2*w = 16, -q = -3*w - 18. Solve -q = -l - 4*h, 17*h - 22*h + 15 = 5*l for l. -1 Let f be 2/(-8) - 3/(-12). Suppose -o + 4*j = 17, 2*o - 3*j + 19 = -f*j. Let c be ((-6)/o)/((-18)/(-60)). Solve 3*q - 4*h = c + 4, 2*q - 10 = 5*h for q. 0 Let r be -1 - (1*(-3)/1)/3. Suppose r = -26*l + 29*l. Solve l = -z + 5*b, 0 = -3*z + b + b for z. 0 Suppose -12 = 34*t - 38*t. Suppose 0 = -3*u - 6, 2*r + 9 + t = -5*u. Let d be 1/r*(-11 - -6). Solve 3*s - 3*g + 3 = 6, -5*s - 45 = d*g for s. -4 Suppose 2*w + 4 = 12. Let i(h) = 8*h + 24. Suppose -4*l - 4 = 8. Let z be i(l). Solve 4*m + 7*s + 13 = 2*s, -m - 2*s - w = z for m. -2 Let m = -671 + 663. Let z be 366/427*(-1 - m). Solve 5*l + 10 = 4*n, 0 = z*n - 2*n - 2*l - 4 for n. 0 Let k be -1 + (2 - -3 - -1). Suppose k*w - 4 = 6. Let t = -16528 + 16532. Solve 3*x - w = p, -t*x = 5*p - 6*p - 4 for x. 2 Suppose 4*j = -w + 2*w + 704, 529 = 3*j - w. Let q = j + -173. Solve -3*l - 3 = 3*h - 6*l, q*h + 4*l - 28 = 0 for h. 4 Suppose -5*z = -2*n - 19, 0 = -7*n + 3*n - 8. Suppose -2*j + 10 = z*j. Let l = -79 - -84. Solve 0 = -5*b + l*s + 15, -4*s - 19 = j*b - 7 for b. 0 Suppose -3*g = -3*d - 18, 0*g - d = -3*g + 16. Suppose -g*k - 268 + 278 = 0. Solve -4*y = m - 4*m + 16, -k*y = -4*m + 8 for y. -4 Suppose 0 = -3*l + 5*d + 37, -21 = -3*d - 36. Solve 0 = -4*r + k - 8, -l*k = 5*r + 33 - 2 for r. -3 Let v = -29 - -17. Let h be (-15 - v)*(-5)/3. Solve 5*a = 3*m - 29, -2*m + 5*m + h*a = -11 for m. 3 Let t = -19550 + 19560. Solve 3*a = -2*y - 1, 3*y - t*a + 12*a = 1 for y. 1 Suppose -6*h - 34 = -52. Suppose -2*z + 5*z - 3 = 3*f, -3*z - h*f = -9. Solve -3 + 1 = z*l - 3*y, 4*l = -2*y - 4 for l. -1 Let l(a) = 0*a**2 - 24*a + 6 + a**2 - 5*a**2 + a**2 - 23. Let b be l(-7). Solve 3*f = 3*d - b*d + 15, -f + 5 = 2*d for f. 5 Let f be (-10 + 16)/(3/193). Let j = 390 - f. Solve 0 = -r + 3*i - 0 + 10, 5*r + j*i = 12 for r. 4 Suppose 51*z + 58 = 313. Let b be 24*(0 - -3)/6. Suppose -b = 3*v, -3*v = y - 0*y - 18. Solve -h = m - 5, z*m + 13 = -3*h + y for m. 1 Suppose 7*i = 2*i + 60. Suppose -132 = -5*y + 998. Let o = -221 + y. Solve -4*j = -4*g, -i = -j - 0*g + o*g for j. -3 Let y be 2*(2/(-1) - -4). Suppose 3*u - o = 5, o = 4*u - o - y. Solve v - 4 = m - 5, 3*v + u*m = 3 for v. 0 Let h(t) = -t + 13. Let j be h(2). Let y(b) = 3*b**2 - 31*b - 1. Let c be y(j). Solve 3*u - c = 4*n + 2*u, 3*n - 5*u = -37 for n. -4 Let c = 25 + -31. Let g be (c/(-4))/((-3)/(-8))*1. Solve 15 = -5*y - 3*b, -2*b + 3*b - 12 = g*y for y. -3 Let o = -122 - -125. Let h(d) = d + 18. Let n be h(-13). Suppose -n*p + 25 + 0 = 0. Solve 0 = -4*r - 7 - p, -o*j - r = -9 for j. 4 Let z = 98 + -95. Solve -3*y + 155 = 3*f + 146, -z*f + 12 = 0 for y. -1 Let c(k) = 13*k**2 - 562*k + 134. Let i be c(43). Solve 0 = -4*x + 5*t + i, 14 = 2*x + 4*t - 8 for x. 5 Suppose 1 + 5 = y. Suppose -3*u + 2 = -u. Suppose 0 = y*d + 1 - u. Solve -3*f = d, -4*w + 2*f + 2*f = -4 for w. 1 Suppose 0 = -4*y - 31*b + 34*b - 12, 8*b = -4*y + 76. Let f = -2 - -2. Let w = -3 + 5. Solve 3*c + i = -y*i + 23, i - w = f for c. 5 Let r = -9110 - -9112. Solve -3*t + r = -3*w - 16, -4*w - 27 = -5*t for t. 3 Let i(c) = 0*c + 12 - 3*c + 2*c. Let h be i(10). Suppose 124*l - 91 - 128 - 401 = 0. Solve 2*d - 2 = h*r - 0, 25 = l*d for r. 4 Let u be ((-144)/(-27))/(256/96). Solve -5*i + u - 16 = -h, -5*i + 6 = 4*h for i. -2 Let m = 244 - 273. Let f = -26 - m. Solve 5*t + 7 = 2*c + 22, 5 = -f*t + 4*c for t. 5 Let c(o) = o**2 + 158*o + 3. Let w be c(0). Let l = -7 - -11. Solve -v - l*q - 11 = -4*v, 4*v - 10 = w*q for v. 1 Let i(o) = -o**2 - 5*o - 4. Let t be i(-2). Let f be t + 4 - (-1)/(-2 + 1). Solve -f*u + 22 = 6*b - 2*b, -u + 2 = 0 for b. 3 Let a = 288 - 210. Let w be 4/(-26) - ((-636)/a + 6). Solve -4*l + 5 = w*y - l, 3 = 2*y + 5*l for y. 4 Suppose -3*a = -5*k + a + 7, k - 14 = 5*a. Let c be -2*(-15)/2*k. Let b = -9 - c. Solve v - b*w + w + 13 = 0, 1 = -v + w for v. 2 Suppose 0 = -44*s + 50*s - 24. Suppose s*o - 7 = -m + 6, 10 = 4*o + 2*m. Solve -5*j = -o*l - 10, -j - l - 9 = j for j. -2 Suppose 0*l - 9*z = -4*l - 11, -5*l - 4*z + 32 = 0. Solve 0 = -4*w - 5*b - 11, 4*w - 6*b + 18 = -l*b for w. -4 Let h(a) = -3*a + 43. Let g be h(4). Suppose -g*q + 186 + 93 = 0. Let c be (2/(-6))/((-2)/12). Solve 0 = -4*b - 4*k - k + 29, q = -b + c*k for b. 1 Let g(r) = -r**2 - 14*r - 20. Let f be g(-11). Solve -f*v + 17*v + 4*l + 4 = 0, l = -1 for v. 0 Let i(a) = 8*a**2 - 248*a + 1165. Let m be i(5). Solve m*z - 4*c = 122*z - 12, 0 = -4*z - 3*c + 9 for z. 0 Let k be 1155/735 + 2/((-42)/(-9)). Solve -p - 1 = k*m, 3 = 6*m - 4*m - 3*p for m. 0 Let t be 95 - 104 - 26*4/(-8). Solve -4*j = 3*y + 54 - 64, -t*j - 5*y + 6 = 0 for j. 4 Let c(p) = 5*p**3 - 2*p**2 - 9*p + 11. Let r be c(1). Solve h - 8 = 2*f, -r*h - 4*f = -0*f + 30 for h. -2 Suppose 3*l + 2 = 8. Let w(z) = -73*z - 2*z**2 + 75*z + 3*z**l + 12. Let c be w(0). Solve 0 = -2*q - q + o + 12, 4*o = c for q. 5 Let a be 0 + (0/1)/(-2). Let h = 17186 - 17182. Solve 5*q - 3*w + 37 = a, h*q - 2*w + 28 = -0*w for q. -5 Let y = 206 + -203. Suppose 14*o - 165 = y*o. Solve 2*g = -3*g + o, -5*b = 2*g + 19 for b. -5 Let b = 24 + -19. Let f be (4 - b)/((-3)/(-9)*-1). Solve -4*o - 3*i = 14 + 1, 3*i = -f*o - 12 for o. -3 Suppose 3*v - 11*v + 8 = 0. Let a(m) = m**2 + m + 1. L
{ "pile_set_name": "DM Mathematics" }
n multiple of h and d(y)? 35 Let d(c) = 2*c - 30. Calculate the least common multiple of d(23) and 18. 144 Find the common denominator of 61/4 and (-2 + (-11)/(-2))*(-44)/(-8). 4 Let k = 115 + 9. Calculate the least common multiple of 16 and k. 496 Let l be (-167863)/45 + 10/25. Let r = 3726 + l. Find the common denominator of r and -85/6. 18 Let v(q) = q**2 - 11*q + 5. Let o be (6 - 1)/((-5)/(-10)). Let t be v(o). What is the common denominator of 106/(-18) + 4 + t and 30/7? 63 Let f = -227139 - -1813105/8. Suppose 3*a - 66 + 1581 = 0. Let j = f - a. Calculate the common denominator of j and 38/7. 56 Find the common denominator of 2/(-8) + (-681)/(-60) and ((-69)/(-27) - 1) + 2. 90 Suppose 2*f - 1 + 15 = 2*d, 3*d + f = 17. Let m = -2 + d. What is the least common multiple of m and 4? 4 Calculate the common denominator of (-142)/(-154) + (-2)/7 and -3*(-172)/48 + -4. 44 Let o = -3246 - -12909/4. What is the common denominator of o and 103/22? 44 Let f = 4832 + -2629. Let m = f - 6683/3. Find the common denominator of 18 and m. 3 Let r = 5 - 6. Let l be r + 834039/66 + -2. Let z = l + -12638. What is the common denominator of 55/18 and z? 198 Let c = 226983/14 + -16205. Find the common denominator of c and -21/52. 364 What is the lowest common multiple of -5*(-3)/5 + 19 and 16? 176 Let v = -589549/54 + 10918. Find the common denominator of v and 51/8. 216 Suppose -3*r - 49 = -x, -r + x + 31 = -3*r. What is the common denominator of (6/r)/((-15)/485) and 45/4? 8 Let j(m) = m**2 - m + 15. Calculate the lowest common multiple of 9 and j(7). 171 Suppose c + 4*g = 2*g + 22, g = -4*c + 53. Calculate the lowest common multiple of (1/(-2))/(2/(-24)) and c. 12 Let b be -3 + 13 + 6/(-3). What is the common denominator of 133/6 and (10/(-25))/(b/(-830))? 6 Suppose -l - 5*l = 0. Suppose 0 = w - l*w - 14. Calculate the least common multiple of 16 and w. 112 Let k(r) = r**3 - 9*r**2 + 11*r - 10. Let u be k(8). What is the common denominator of ((-9)/21)/(u/(-35)) and -117/20? 140 Let w(f) = f**3 - 15*f**2 + 3*f - 36. What is the lowest common multiple of w(15) and 9? 9 Suppose -5*a + 0*j - 3*j = 237, -239 = 5*a + j. Let z = -32 - a. What is the lowest common multiple of (-4 - 6)/((-2)/4) and z? 80 Let v = -8 - -15. Suppose 69 = 3*l - 87. Suppose 4*u = z - 31, -l - 12 = -4*z + 4*u. Calculate the least common multiple of v and z. 77 Let o be 2 + -1214*(-232)/270. Let d = o - 7316/7. Let y = 25507/3780 - d. What is the common denominator of 91/10 and y? 20 Calculate the common denominator of (-10)/35 + 1221/84 and -151/6. 12 Calculate the least common multiple of 2*2 - (-18)/9 and 3. 6 Let q = 73 - 12. Let j = q - 39. Calculate the lowest common multiple of j and 22. 22 What is the common denominator of 99/4 and (-4)/((-640)/(-165))*3? 32 Let p be (-376)/(-9) + 6/27. Suppose -2*w = s - 2*s + 41, 2*w - 2*s = -p. What is the common denominator of -11 and w? 1 Suppose 5*y - 5*u - 65 = 3*y, 20 = 2*y + 4*u. Let c(v) = -3*v + 24. What is the lowest common multiple of y and c(6)? 60 Let k be 2 + -1 + (27 - -2). Suppose 0 = 3*s - t + 63, 5*s - 4*t + 2*t + 106 = 0. Let i = s + k. Calculate the lowest common multiple of 2 and i. 10 Suppose 5*i + 0*i = 20. Suppose -3*b = -3 - 12. Suppose 4*s - 71 - 13 = -r, -b*s = -2*r - 118. Calculate the smallest common multiple of s and i. 44 Let t(u) = -u**3 - 3*u**2 - 2*u + 2. Calculate the least common multiple of 10 and t(-2). 10 Let g = -373723 - -2234465/6. Let q = g + 1306. Suppose 119 = -11*v + 28*v. What is the common denominator of q and v? 6 Suppose -2*t = -3*t. Suppose t = 5*m - 3*m - 8. What is the lowest common multiple of ((-11)/2)/((-2)/4) and m? 44 Let k be 6*(3 - (-4)/(-8)). Let s = -1 + k. What is the least common multiple of s and 6? 42 Let q = 332 - 328. Suppose 40 = 5*x - 2*n, 35 = 5*x - 5*n + 4*n. What is the least common multiple of q and x? 12 Let g(c) = 250*c**2 + 1. Let t be g(-5). Let l be (-37633 + 2)*(-1)/(-6). Let m = l + t. Calculate the common denominator of m and 51/4. 12 Let r(w) = -w**2 - 15*w - 30. What is the smallest common multiple of r(-12) and 10? 30 Find the common denominator of (2/28)/(-1)*67 and -27/2. 14 Suppose j = 5*j + 80. Let n = 22 + j. Let f = -3 - -6. What is the least common multiple of n and f? 6 Let b = 1499/1416 - -57/118. What is the common denominator of b and 67/10? 120 Let z = -2468/3 + 24491/30. Find the common denominator of 166/(-84) + 2/6 and z. 70 Let q = -9 + 21. Let u(g) = g + 3. Let t be u(3). Calculate the lowest common multiple of q and (t + -5)/(1/2). 12 Calculate the least common multiple of 14 - -5 - (-3)/3 and 12. 60 Let g = 887/140 + -61/20. Calculate the common denominator of -4 - (-84)/20 - 129/(-55) and g. 77 Let s be (-7732)/(-18)*177699/12. Let p = s - 6364211. Let c = p + 3249. Find the common denominator of c and 15/14. 126 Let f be (-60837)/95480 + 1 + 2. Let c = f + 1/1240. What is the common denominator of 7/11 and c? 11 Let k = 3871/5 + -784. What is the common denominator of 4/(-10) - (-1364)/60 and k? 15 Let s be 3 - (2392/(-66))/(-4). Let l = s + 4211/330. What is the common denominator of l and -67/4? 20 Let i = -267064 + 133783. Let k be ((-1)/(-6))/(24/i). Let t = k - -925. Calculate the common denominator of t and -61/22. 176 Let q(r) = 4*r - 64. Calculate the smallest common multiple of q(20) and 56. 112 Let b = 9 + -4. Suppose -b + 20 = 3*k. What is the smallest common multiple of k and 11? 55 Let q be 330/16*(-8)/(-6). Let o = q - 129/5. Find the common denominator of 30/11 and o. 110 Let q(j) be the third derivative of j**4/12 - 2*j**3/3 - 2*j**2. Let b be q(9). What is the common denominator of (-8)/28 - (-515)/b and -23/7? 14 Find the common denominator of 3/5 and -1 - (0 - (10 + 3)). 5 Let y = 305/2 + -119. Find the common denominator of y and -79/4. 4 Suppose 3*z - 25 = -2*z. Suppose -z*n + 26 = 6. What is the lowest common multiple of 22 and n? 44 Calculate the common denominator of 10/3 and -5*3*6/(-99). 33 Suppose 0 + 4 = 2*p. Suppose -465 = -p*u - 3*u. Suppose -u = -5*l - 13. What is the least common multiple of 16 and l? 16 Suppose -2*f + 4 = 2*n, -f + 4 = -2*n - 7. Calculate the common denominator of -53/8 and 1 + (n - (-266)/24). 24 Calculate the least common multiple of 18 and (-36)/(-2)*1 - 0. 18 Suppose -q + 2 = -3. Calculate the least common multiple of q and 1. 5 Let y be (6/(-170))/((-6)/(-161)). Let r = y + 4/85. Find the common denominator of r and 41/4*(-6)/5. 10 Let n = -12003247/50 + 240056. Let i = 146/25 + n. Let v = 491 + -5414/11. Find the common denominator of v and i. 110 Let a(q) be the second derivative of q**4/12 - q**3/6 - 2*q. What is the least common multiple of 10 and a(3)? 30 Suppose 7*u - 2*u - 55 = 0. Calculate the common denominator of -10 + u - 146/(-4) and -65/21. 42 What is the common denominator of 266/36 + 12/(-72) and -1/67? 603 Let i(f) = -f - 2. Let w = -24 - -11. Calculate the smallest common multiple of 2 and i(w). 22 Suppose -7*u + 10 = -2*u. Calculate the smallest common multiple of u and 4. 4 Suppose -4*u + 35 = u. Suppose -1 = -4*o + u. What is the lowest common multiple of 22 and o? 22 Calculate the least common multiple of 21*(-3)/((-9)/2) and 6. 42 Suppose -a + 4*v = -0*v, a - 4 = 2*v. Calculate the least common multiple of a and 4. 8 Suppose -3*r - 36 = -5*g - 11, 5*g - 15 = 5*r. What is the least common multiple of g and 10? 40 Suppose 4*i + 3*q = 76, -2*q + 4 + 4 = 0. Calculate the smallest common multiple of i and 58. 464 Let j = 8 - 12. Let m(h) = -2*h + 3. Suppose 5*r - 2*r - 27 = 0. Calculate the least common multiple of r and m(j). 99 Let t = -18 - -40. Let z(l) = 2*l**2 - 12*l + 2. What is the least common multiple of t and z(6)? 22 Let v = -249 - -931/4. Find the common denominator of v and 2/6 + 98/(-60). 20 Suppose 0 = -3*i + 15, 3*c - 125 = -2*c - 3*i. Let z = -5 - -7. Suppose -6 = -t + 3*r - z, 40 = 5*t - 5*r. Calculate the smallest common multiple of c and t. 110 Let s be 2/(-3) + (-128)/(-3). Suppose -s = -v - 6. What is the least common multiple of 5 and 8/v + 104/18? 30 Suppose -2*b + 4*a + 2 + 4 = 0, 0 = 4*b + a - 21. What is the lowest common multiple of b and 10? 10 Let g be 166/(-6) - 2/6. Let r = g - -50. Calculate the lowest common multiple of r and 14. 1
{ "pile_set_name": "DM Mathematics" }
0172 + h. What is x rounded to 4 decimal places? 0.0017 Let g(x) = x**3 - 7*x**2 + 6*x + 2. Let s be g(6). Suppose -s*r + 4*y = -336, -2*r + 344 = 8*y - 4*y. What is r rounded to the nearest 100? 200 Suppose -7622 = -4*l + 7978. What is l rounded to the nearest 1000? 4000 Let q = -0.513575 - -0.21357. Let m = -0.3 - q. Round m to 6 decimal places. 0.000005 Let m be ((-1179)/2)/((-1)/324). Suppose 1519002 = -3*b - m. What is b rounded to the nearest 100000? -600000 Let z = 2876.027108 - 2881.284. Let j = -2.9568943 - z. Let d = j + -2.3. Round d to six dps. -0.000002 Let n = 0.3 - 1.6. Let b = 3.8 + n. Round b to the nearest integer. 3 Let a = 31 - 30.905. Let l = a + -0.06. Round l to 2 decimal places. 0.04 Let z be 550/(0 + 1/4). Suppose 2*b - b - z = 0. Round b to the nearest 1000. 2000 Let y = 12918.51 + -11365.9. Let h = y + -1603. Let x = h + 50. Round x to one decimal place. -0.4 Let d = -2.853 - 0.047. Let b = d - -5. What is b rounded to zero decimal places? 2 Let r = -4.11 + 0.11. Let x = 17.1 - 21.148. Let z = r - x. Round z to 2 dps. 0.05 Let o = 0.36 + -0.3. Let p = -0.04 - o. Round p to one decimal place. -0.1 Let p = -22.4 - 166.6. Let c = -3879446.2609873 - -3879257.261. Let a = c - p. What is a rounded to six dps? 0.000013 Let b = -1014 - -573. What is b rounded to the nearest 100? -400 Suppose 2*u - 3*w + 29599997 = 0, 0 = -u - 5*w - 10986552 - 3813453. What is u rounded to the nearest one million? -15000000 Let q = 3.5 + -0.4. Let m = 3.015 - q. What is m rounded to two dps? -0.09 Let o = 14 + -14.068. Let c = 0.068091 + o. Round c to five dps. 0.00009 Let i = -24 + 34. Let z = -2.189253 - -12.188983. Let m = z - i. What is m rounded to four decimal places? -0.0003 Let q = -0.004 - -0.00352. What is q rounded to three decimal places? 0 Let q = -21607 - -15344. Let w = 4163 + q. What is w rounded to the nearest 1000? -2000 Suppose 0 = h + 3*h - f - 64198, 3*h = -4*f + 48139. Suppose 4*p - 21396 = w, 797 = 4*p + 2*w - 20599. Let t = h - p. Round t to the nearest one thousand. 11000 Suppose i - 26 = 4*s, 7*i - 29 = 3*i + s. Suppose -i*q + 8*q = 98. Round q to the nearest 10. 50 Let s = 8996.41 + -8953. Let o = 44 - s. Round o to one decimal place. 0.6 Let j = -3690555 + 7096375. Let c = j - 2125820. Round c to the nearest one hundred thousand. 1300000 Let w = 4142 + -7252. What is w rounded to the nearest one hundred? -3100 Let t = 97 - -67. Let k = t + -148.7. Round k to the nearest integer. 15 Let g = -0.2 - -1.2. Let s = g + -1.00000002. What is s rounded to seven decimal places? 0 Let o = -0.51 + 0.386. Let v = -0.277 + 0.484. Let y = v + o. What is y rounded to 2 dps? 0.08 Let q = 0.060036 + -0.06. What is q rounded to 5 dps? 0.00004 Let k = -1.02 + 2.51. Let v = 1.599 - k. Let x = 0.108903 - v. Round x to five dps. -0.0001 Suppose 0 = -3*x + 4 + 2. Suppose -3*l - 4*t = 2684, -x*l - 5*t = l + 2680. What is l rounded to the nearest 1000? -1000 Let h = -20 + 57. Round h to the nearest ten. 40 Let v = 0.33 - 0.3272. What is v rounded to 3 dps? 0.003 Suppose 4*l - 4 = l - 2*y, -28 = -3*l + 4*y. Suppose g = l*p + 404, -3*p + 5*g - 241 = 79. What is p rounded to the nearest 10? -100 Let h = 26 - 26.55. Let f = 0.550126 + h. Round f to five dps. 0.00013 Let p(t) = -14*t**3 - t**2 - 3. Let x be (-116)/(-36) + 2/(-9). Let a be p(x). What is a rounded to the nearest one hundred? -400 Suppose 1 = d + u, 4*d - 3*u - 37 = 2. Suppose 11*b = d*b + 2400000. Round b to the nearest 100000. 500000 Let p = 3.04 - 2.6. Let u = 0.4806 - p. Let b = u + -0.048. What is b rounded to three dps? -0.007 Let m be (-8 + 2)*-4*1. Suppose -m = -3*p - 9. Let i be 735/6*4/p. Round i to the nearest 10. 100 Let q = -5721 + 5595.609. Let r = 80.464 + q. Let c = 45 + r. What is c rounded to 2 decimal places? 0.07 Let q = 4 + -1. Suppose j - i = -3, q*i - 10 = 5*j - i. Suppose 5*t = -4*n - 215030 - 12955, 5*n + 285006 = j*t. What is n rounded to the nearest ten thousand? -60000 Let q = 0.2 - -3.8. Let a = 7 - q. Let d = a + -3.0000005. What is d rounded to 6 decimal places? -0.000001 Let k = 96.597 - 1.297. Let s = k - 100. What is s rounded to 0 decimal places? -5 Let h = -0.3 - 24.7. Let u = h + 25.68. Let f = -0.6721 + u. Round f to 3 dps. 0.008 Let f = 0.4 + -0.36. Let i = f + 0.04. Let b = i + -0.132. What is b rounded to two decimal places? -0.05 Let f = 16348.74101 - 16364.64. Let j = 15.9 + f. Round j to 4 dps. 0.001 Let o be (1 + -1)/(0 + 2). Suppose o = -y + 7385 + 52615. Round y to the nearest one hundred thousand. 100000 Let c be (-30)/(-195) - (-14500315)/13. Suppose 2*r = -c - 404591. What is r rounded to the nearest one hundred thousand? -800000 Let f = 7.3 + -6. Let l = 30.41862 + -29.118. Let h = l - f. Round h to four decimal places. 0.0006 Let p be (1/(-2))/((-17)/(-34)). Let u be 123*((-10003)/(-3) + p). Round u to the nearest one hundred thousand. 400000 Let w = 38249955.9643989 + -38249959. Let s = -0.0645289 + w. Let f = -3.1 - s. What is f rounded to 4 decimal places? 0.0001 Let b = -109.9754 - -110. What is b rounded to 3 decimal places? 0.025 Let t(u) = -215999*u**2 - 2*u - 15. Let l be t(5). Round l to the nearest one million. -5000000 Let z = -27.09 - -26. Let a = 1.0899939 + z. Round a to 6 decimal places. -0.000006 Let n = -0.391 - -0.43. Let i = n + -0.499. Round i to 1 dp. -0.5 Let j be (1 - 1/1)*(-1)/(-3). What is j rounded to the nearest 10000? 0 Let i = -4 + 7. Suppose 4*k + 2*c = 0, 0 = 5*c - i*c. Suppose k = -5*r - 2*w - w - 3306, 2650 = -4*r - 5*w. What is r rounded to the nearest 100? -700 Let w = -2269.58760031 + 2269.3376. Let u = 0.25 + w. Round u to seven decimal places. -0.0000003 Let y = 6 + -6.01. Let t = y - 0.29. Let l = -0.30000009 - t. What is l rounded to 7 decimal places? -0.0000001 Let f = -0.3 - -0.25. Let k = -1124.9499 - -1125. Let y = k + f. What is y rounded to four decimal places? 0.0001 Let v be 2 - (-1)/(-1) - -3. Suppose 4*y = -v*c + 12472 - 68860, -y = 5*c + 14085. Round y to the nearest 1000. -14000 Suppose a - 6*a = 0. Suppose a = -5*g + 3*s + 3800012, -2*s - s - 12 = 0. What is g rounded to the nearest 100000? 800000 Let j = 0.03300086 + -0.033. Round j to seven dps. 0.0000009 Suppose 6*r - 261842 = -771842. Round r to the nearest 100000. -100000 Let n = 0.69 + -0.01. What is n rounded to one decimal place? 0.7 Suppose -2*v + 52631580 - 8531584 = 3*r, 3*r = -3*v + 44099994. What is r rounded to the nearest 1000000? 15000000 Let v = -0.34 - -2.94. Let l = 7.3 + v. What is l rounded to the nearest integer? 10 Let z = 0.002 - 6.502. Round z to zero dps. -7 Let z(x) = x**3 - 11*x**2 + 15*x - 10. Let a be z(10). Let q be (a*25)/(3/(-8700)). What is q rounded to the nearest one million? -3000000 Suppose -7*h + 8 = -3*h. Suppose 5*c + 90000 = 5*s - 0*s, h*c - s + 36000 = 0. Round c to the nearest 10000. -20000 Suppose -3*f = -0*f - 3. Let p be 50/((-9)/15 + f). Let w be (p/(-3))/((-3)/3816). Round w to the nearest 10000. 50000 Suppose 18770 = 2*u + 3*u. Suppose a - 2*x = u + 538, -4*x + 17216 = 4*a. What is a rounded to the nearest 1000? 4000 Suppose 3*c - 287999970 = 3*g, 529529338 = 5*c - 4*g + 49529386. Suppose 4*d + 76799990 = -5*b, -4*b - c = 3*d + 2*d. Round d to the nearest 1000000. -19000000 Let s = -0.07 - 0.27. Round s to one dp. -0.3 Let p = 8395.14393049 + -8391.24393. Let z = 3.9 - p. What is z rounded to seven dps? -0.0000005 Let z = 120201 - 9201. Round z to the nearest ten thousand. 110000 Let t = 604514 - -425486. What is t rounded to the nearest 100000? 1000000 Let d = -24.875 - -25. What is d rounded to two dps? 0.13 Let l = -5.2 - -0.2. Let z = l + 5.0000003. Round z to 6 decimal places. 0 Let u be (2/3)/((-3)/153). Round u to the nearest ten. -30 Let c = -3372762 - -3372835.51135. Let z = c - 87.511259. Let y = z + 14. What is y rounded to 5 dps? 0.00009 Let t be 2/(-3)*(-6 - -3). Let k = 7 - t. Suppose -k*v - 810175 - 1839825 = 0. What is v rounded to the nearest 100000? -500000 Let j = 3 - -0.6. Let l = j - 7. What is l rounded to 0 decimal places? -3 Let j(a) = 24001*a + 4. Let s be j(-4). What is s rounded to the nearest 10000? -100000 Let x = -0.27 + -0.06. What is x rounded to one dp? -0.3 Suppose -19091 + 80091 = -l. Round l to the nearest ten thousand. -60000 Let w = -10
{ "pile_set_name": "DM Mathematics" }
-16 = i? False Let q = 14 - 5. Let g = q - 9.14. Let r = 0.04 + g. Are -2/9 and r equal? False Suppose 0*u - 15 = -u + v, -v + 7 = u. Suppose 5*b + u = -9, -84 = -4*z + 3*b. Is 18 != z? False Let q = 2.66 + -0.16. Is -1 at least q? False Let o(h) be the third derivative of h**4/24 - h**3/2 - h**2. Let s be o(3). Let u = -913/7 - -911/7. Which is smaller: u or s? u Let u = -927 + 957. Suppose -2*r = 2*w + 6, 0 = -r - 0*w + 2*w. Is r greater than u? False Let t = -2205.077 - -2206. Let x = t - 0.133. Let r = -0.01 - x. Which is bigger: 0.1 or r? 0.1 Suppose 3*u - 2*i - 1 = -7*i, 2*u = 3*i + 7. Let f be 2 + 1/1 + -5. Let y be 3*f/(-6) + 1. Is y greater than u? False Let l = -120 + 84. Let k be (l/(-16))/(((-2)/(-24))/1). Which is smaller: k or 29? k Let n(a) = 15*a + 128. Let s be n(-8). Is 47/6 smaller than s? True Let o(v) = -5*v. Let x(f) = 5*f - 1. Let i(t) = 6*o(t) + 7*x(t). Let k be i(1). Is -1/2 <= k? False Let c = -143 - -144. Does c = -0.4? False Suppose -4*h = 88 + 8. Let f = 19 + -46. Let l be f - ((-12)/4)/(0 - -1). Is l <= h? True Let z be 4/6 + 176/(-270). Let i = 4971 - 4971. Which is greater: i or z? z Suppose -535*x = -532*x + 228. Which is smaller: x or -85? -85 Let p = -1334 - -86712/65. Suppose 3*i = v - 6, 5*i = 3*v - 0*i - 10. Which is smaller: p or v? v Let a = 14573/11 - 1327. Which is greater: a or -0.2? -0.2 Let f be -1*(3 - (-254)/(-86)). Let p = f + -39/86. Suppose -g = -4*g. Which is smaller: p or g? p Let m be -3*8/(-66)*(-3)/6. Is -1 < m? True Suppose 9*s = -6 + 15. Which is greater: s or -1/158? s Let w = -0.011 + -0.019. Let v = -3 - -3. Let t = v + -0.2. Which is greater: t or w? w Let a be 1*(-4)/(-8)*6. Is a < -3? False Suppose 3*y - 2*y + 9 = v, 0 = 2*y + 4. Let m(a) = a**2 + 6*a + 3. Let u be m(-6). Suppose -u*o + v = -2*o. Is o < 7? False Let t = 5.02 - 3.02. Is t equal to -191? False Suppose -5*f = -f + 1240. Which is bigger: f or -309? -309 Suppose -5*p + 7 = -8. Suppose -3*a + 4*k - 37 = 0, 0 = 4*a - 4*k + 2 + 50. Let q be (20/a)/(8/(-18)). Are p and q equal? True Let a(n) = -n**2 + 28*n - 107. Let v be a(6). Which is smaller: 79/3 or v? v Let a = -598 - -1566. Suppose -9*m = 2*m - a. Which is smaller: 87 or m? 87 Let h be 4/(-6)*(-3)/(-2). Let y = 1.3 - 4.9. Let x = y - -15.6. Which is smaller: x or h? h Let a be 4/3*117/52. Suppose -5 - 15 = 2*l - 2*d, 0 = a*l - 2*d + 26. Let m(h) = -5*h + 3. Let y be m(2). Which is bigger: l or y? l Let r(c) = -37*c + 296. Let u be r(-3). Is u at most 409? True Let z be ((-8)/(-6))/(3/45*5). Suppose z*s = -71 - 5. Which is bigger: s or -5? -5 Let r = -459 + 476. Which is greater: r or -1/4? r Suppose -8*f - 57 = -9. Let r = 18/49 + -1034/147. Is f smaller than r? False Let l = -71/12 + 6. Is l less than or equal to -1? False Suppose 65 = 68*n - 55*n. Is 63/10 at most n? False Let i = -2321.051 + 2323. Let w = 0.049 - i. Which is smaller: -0.1 or w? w Let l = 14.92 + -15.1. Which is smaller: l or -6? -6 Let i be (-11)/(-1) + -8 + 4. Suppose -i = 2*s - 119. Let h be 2 - (-4 - (-338)/s). Is 1 equal to h? False Let w = 11 + -11. Suppose -2*j = -20 - w. Suppose 0 = 6*k - j*k + 8. Are k and 2 non-equal? False Let s be (-1 - -1)/(5 - 1). Suppose -11*u + 3*u + 32 = s. Which is bigger: u or 19/6? u Let q(g) = 12*g**3 - 2*g**2 - 2*g. Let p be q(2). Let t = 50 - p. Is -34 greater than t? False Let r = 90 + 837. Let h = r - 2758/3. Which is greater: h or 8? 8 Let z = -41157/26 - -1583. Are -16 and z non-equal? True Let v = -0.8 + 1.5. Let p = -1.7 + v. Suppose 4*o - 3 - 5 = 0. Is o <= p? False Let z be ((-4)/8)/(1/(-6)). Let i be (z/((-3)/(-4)))/2. Suppose -5*c - 18 = -i*c. Is c greater than 2/7? False Suppose -4*x - 8*x + 4*x = 0. Let i be (-6)/(-9) - 8/6. Is i at least as big as x? False Let w(r) = -8*r + 45. Let x be w(6). Suppose 0*o = 4*o - 12. Suppose 2*a = 0, 0 = -o*d + a - 13 + 1. Is d > x? False Let c(t) = -t**3 + 6*t**2 - 2*t + 8. Let z be c(7). Let y = z + 88. Let i = y - 32. Which is greater: i or -1/11? i Let x = -2 + -4. Let g be (-17 - -29) + -14 - (0 - -5). Is x < g? False Let q = 2 + -2. Suppose q = 3*s - 6*s - 6. Suppose -2*p - 85 = 15*p. Which is bigger: p or s? s Suppose 5*q + c + 18 = 0, 0 + 3 = 4*q - 5*c. Let y be (-1*14)/(q/(-12)). Let z be 6/y*12/(-18). Which is smaller: -1 or z? -1 Let a be ((-50)/8)/(4/32). Let j = 51 + a. Which is bigger: j or -52? j Let m = -29273 + 29223. Let w = -902/9 - -100. Which is bigger: m or w? w Let k = 98.82 - 99. Let l = -0.48 - k. Do l and 1/3 have the same value? False Suppose -3*g + 2*l = -28, 2*l = -5*g + 3*l + 35. Let h be (-2)/(-2)*(-3)/3. Which is smaller: g or h? h Let r = 35 - 34.97. Let v = -0.01 + 1.01. Let j = 0 + v. Which is greater: r or j? j Let j be 322/(-174) + (-1)/(-3). Let m = j - -48/29. Is m >= -1? True Let j = 3.5 + -0.1. Let m = j - 3.4. Which is greater: m or 19? 19 Let t(y) = 2*y - 4. Let h be t(4). Suppose -o + 10 = 3*u - 2*o, u = 3*o - 2. Is u <= h? True Let g = 1 + -2. Let h = 63/25 - 13394/5325. Let o = h - 224/2343. Which is smaller: g or o? g Let z(k) = -3*k**2 - 6*k + 6. Let f(s) = 5*s**2 + 13*s - 13. Let j(a) = 4*f(a) + 7*z(a). Let m be j(9). Let h = -3/4 - -5/8. Which is smaller: h or m? m Let p = 0.284 - -3.016. Is 0 > p? False Suppose -4*r + 37 + 27 = 0. Let z be (-3 - (-52)/r) + 85/(-20). Which is smaller: -5 or z? -5 Let b = -0.331 + 0.289. Is 1/4 not equal to b? True Let z = 3 + 39. Which is smaller: z or -2? -2 Let i(n) = 6*n - 11. Let t(g) = g**3 + 9*g**2 + g + 11. Let j be t(-9). Let z be i(j). Do z and 0.41 have the same value? False Let m(x) = x + 1. Let p(j) = 2*j + 13. Let c(b) = b. Let w(i) = -3*c(i) + p(i). Let o(k) = m(k) - w(k). Let y be o(9). Does 7 = y? False Let j be (264/176)/(51/2). Let l(o) = -o - 5. Suppose -4*x = x + 30. Let i be l(x). Is i at most j? False Let n be (-2)/25*5 + 370/(-75). Let r be (-3)/2*(-1)/3. Which is smaller: r or n? n Let r be (432/(-81))/(2/(-186)). Is 496 equal to r? True Let b be 13*(-2)/(-6) + -1. Let i = -31 - -27. Let q be i/6*(-2 - 10/4). Is q <= b? True Suppose -4 = -2*m + 2. Suppose m*c - 16 = 2. Is c less than or equal to 4? False Let r = -2038 - -12263/6. Let i = r - 22/3. Is -2 smaller than i? True Let h = -9.43 + 444.43. Does h = 0.1? False Let x(q) = 1 - 4 - 2*q + 0 + 3*q. Let v be x(6). Suppose v*b - 2 = -3*l + 1, 2*l - 3*b = -8. Is l bigger than 2/19? False Suppose 0 = 3*t - 9*t + 6. Is t bigger than -1/21? True Suppose 2*f + 2*f + 4*n = -20, -f - 2 = 4*n. Let w be 0 + 1*(3 + f). Suppose -4*q + 2 = 22. Which is smaller: q or w? q Let r be (-18)/(5508/2721 + -2). Let d = -741 - r. Are 0 and d unequal? True Let x = 2.42 - 1.42. Let q = 0.5 - 0.8. Which is smaller: q or x? q Let g be 135/(-25) - 1/(-5). Let w = g - -593/115. Let i be (8 + 1)/3 - 4. Which is smaller: i or w? i Suppose 3*m + 74 = -2*x, 8*m + 3*x = 4*m - 97. Let p = 24 + m. Let k be -2 - (-4 + 2/p). Is k not equal to 2? True Let n(i) = 2*i**3 - 19*i**2 + 4*i**3 + 41*i - 2*i**3 - 5*i**3 - 47. Let y be n(-21). Which is greater: -25 or y? -25 Suppose -4 = 3*k - i, -i + 4 + 0 = k. Is k > -33/23? True Suppose -1188 = -5*c - 6*c. Let k = -45 + c. Which is smaller: k or 64? k Suppose 0 = 5*q - 2*t - 51, -2*q - 3*q - 2*t + 39 = 0. Let x = 5 - q. Let n(j) = j**3 - 22*j**2 - 3. Let c be n(22). Is x greater than c? False Suppose 555 = -5*v - q, 333 = 3*v - 6*v - 2*q. Is v equal to -111? True Let l = -194/21 - 59/7. Let o = 8 + -25/3. Is l less than o? True Suppose 0 = 12*x + 8*x + 14*x - 374. Let b = -105588/5 - -21036. Let i = 82 + b. Which is greater: i or x? x Suppose 3*s + 6 = 0, -2*v = 3*v + 5*s. Let g be 54/(-540) - (-327)/270. Which is smaller: v or g? g Suppose -u = 11 - 1. Let h = u - -11. Let k = -254/5 - -51. Is k smaller than h? True Let x(s) be the first derivative of s**4/4 + 4*s**3/3 - 3*s**2 - 6*s - 22. Let j be x(-5). Are -10/7 and j non-equal? True Let o(z) = -z**2 - 7*z - 6. Let j be o(-6). Let y be (-4)/10*(324/(-172) + 2). Is j smaller than y? False Let x be ((-5)/25)/((-2)/10). Let t = 38/253 - 16/23. Do t and x have different values? True Let g(z) = z**3 - 16*z**2 - 19*z + 41. Let f be g(17). Suppose 0 = -f*s + 5*s. Let t = 584 - 6428/11. Which is bigger: s or t? s Suppose 40*t - 17 = 23*t. Is t equal to 26/15? False Suppose y = 3, 3*u + 1392 = 11*y -
{ "pile_set_name": "DM Mathematics" }
n 3076 is divided by 38. 36 What is the remainder when 1151 is divided by 221? 46 Calculate the remainder when 5322 is divided by 213. 210 Calculate the remainder when 1980 is divided by 1971. 9 Calculate the remainder when 46 is divided by 5. 1 What is the remainder when 3038 is divided by 160? 158 What is the remainder when 356 is divided by 87? 8 Calculate the remainder when 270 is divided by 137. 133 Calculate the remainder when 2750 is divided by 86. 84 What is the remainder when 374 is divided by 8? 6 What is the remainder when 73 is divided by 11? 7 Calculate the remainder when 406 is divided by 236. 170 Calculate the remainder when 2497 is divided by 41. 37 Calculate the remainder when 364 is divided by 92. 88 What is the remainder when 52 is divided by 28? 24 Calculate the remainder when 196 is divided by 94. 8 Calculate the remainder when 72 is divided by 61. 11 What is the remainder when 1731 is divided by 93? 57 What is the remainder when 159 is divided by 57? 45 Calculate the remainder when 201 is divided by 191. 10 What is the remainder when 176 is divided by 9? 5 What is the remainder when 356 is divided by 201? 155 Calculate the remainder when 847 is divided by 9. 1 What is the remainder when 219 is divided by 11? 10 Calculate the remainder when 2373 is divided by 338. 7 What is the remainder when 47 is divided by 13? 8 What is the remainder when 3057 is divided by 12? 9 Calculate the remainder when 151 is divided by 79. 72 Calculate the remainder when 1118 is divided by 112. 110 Calculate the remainder when 557 is divided by 93. 92 What is the remainder when 136 is divided by 20? 16 What is the remainder when 192 is divided by 107? 85 What is the remainder when 1947 is divided by 18? 3 What is the remainder when 741 is divided by 24? 21 What is the remainder when 665 is divided by 131? 10 Calculate the remainder when 8426 is divided by 2807. 5 What is the remainder when 325 is divided by 27? 1 What is the remainder when 180 is divided by 71? 38 Calculate the remainder when 1339 is divided by 84. 79 What is the remainder when 2562 is divided by 43? 25 What is the remainder when 424 is divided by 39? 34 What is the remainder when 967 is divided by 120? 7 Calculate the remainder when 65 is divided by 29. 7 Calculate the remainder when 4219 is divided by 44. 39 What is the remainder when 2955 is divided by 332? 299 What is the remainder when 34314 is divided by 369? 366 What is the remainder when 3196 is divided by 97? 92 What is the remainder when 2038 is divided by 107? 5 What is the remainder when 1211 is divided by 45? 41 Calculate the remainder when 211 is divided by 139. 72 Calculate the remainder when 312 is divided by 55. 37 Calculate the remainder when 719 is divided by 16. 15 Calculate the remainder when 870 is divided by 6. 0 Calculate the remainder when 417 is divided by 14. 11 Calculate the remainder when 7295 is divided by 197. 6 What is the remainder when 1371 is divided by 448? 27 Calculate the remainder when 17393 is divided by 5793. 14 Calculate the remainder when 433 is divided by 31. 30 Calculate the remainder when 1127 is divided by 82. 61 What is the remainder when 362 is divided by 97? 71 Calculate the remainder when 3178 is divided by 10. 8 Calculate the remainder when 8896 is divided by 159. 151 What is the remainder when 4614 is divided by 65? 64 Calculate the remainder when 339 is divided by 18. 15 Calculate the remainder when 57 is divided by 15. 12 What is the remainder when 140 is divided by 47? 46 What is the remainder when 264 is divided by 27? 21 Calculate the remainder when 2738 is divided by 196. 190 Calculate the remainder when 333 is divided by 41. 5 Calculate the remainder when 105 is divided by 18. 15 What is the remainder when 32950 is divided by 83? 82 What is the remainder when 2110 is divided by 56? 38 What is the remainder when 265 is divided by 39? 31 Calculate the remainder when 963 is divided by 383. 197 What is the remainder when 738 is divided by 246? 0 Calculate the remainder when 464 is divided by 47. 41 What is the remainder when 1949 is divided by 163? 156 What is the remainder when 116 is divided by 61? 55 What is the remainder when 1306 is divided by 429? 19 Calculate the remainder when 264 is divided by 30. 24 Calculate the remainder when 96 is divided by 13. 5 Calculate the remainder when 3661 is divided by 146. 11 Calculate the remainder when 4948 is divided by 50. 48 What is the remainder when 1931 is divided by 69? 68 Calculate the remainder when 2751 is divided by 52. 47 What is the remainder when 1121 is divided by 66? 65 Calculate the remainder when 14909 is divided by 21. 20 Calculate the remainder when 3447 is divided by 93. 6 Calculate the remainder when 218 is divided by 11. 9 What is the remainder when 413 is divided by 15? 8 Calculate the remainder when 282 is divided by 22. 18 What is the remainder when 4333 is divided by 19? 1 What is the remainder when 115 is divided by 26? 11 What is the remainder when 46 is divided by 33? 13 Calculate the remainder when 115 is divided by 35. 10 What is the remainder when 324 is divided by 48? 36 Calculate the remainder when 1195 is divided by 50. 45 What is the remainder when 125 is divided by 68? 57 Calculate the remainder when 293 is divided by 38. 27 What is the remainder when 4437 is divided by 99? 81 What is the remainder when 67 is divided by 8? 3 Calculate the remainder when 3265 is divided by 99. 97 Calculate the remainder when 747 is divided by 178. 35 Calculate the remainder when 103 is divided by 15. 13 What is the remainder when 1446 is divided by 66? 60 Calculate the remainder when 146 is divided by 25. 21 Calculate the remainder when 1031 is divided by 510. 11 Calculate the remainder when 5 is divided by 5. 0 Calculate the remainder when 2912 is divided by 90. 32 Calculate the remainder when 20 is divided by 15. 5 Calculate the remainder when 402 is divided by 74. 32 What is the remainder when 402 is divided by 140? 122 What is the remainder when 996 is divided by 101? 87 Calculate the remainder when 333 is divided by 128. 77 What is the remainder when 4289 is divided by 1069? 13 What is the remainder when 171 is divided by 58? 55 What is the remainder when 845 is divided by 278? 11 What is the remainder when 68 is divided by 19? 11 Calculate the remainder when 313 is divided by 3. 1 Calculate the remainder when 7859 is divided by 31. 16 What is the remainder when 36569 is divided by 223? 220 Calculate the remainder when 87 is divided by 13. 9 What is the remainder when 6745 is divided by 1349? 0 What is the remainder when 407 is divided by 198? 11 Calculate the remainder when 99 is divided by 35. 29 Calculate the remainder when 220 is divided by 31. 3 Calculate the remainder when 1153 is divided by 156. 61 What is the remainder when 44 is divided by 23? 21 What is the remainder when 164 is divided by 46? 26 Calculate the remainder when 835 is divided by 170. 155 What is the remainder when 3495 is divided by 34? 27 What is the remainder when 1195 is divided by 397? 4 What is the remainder when 2858 is divided by 26? 24 Calculate the remainder when 296 is divided by 20. 16 What is the remainder when 73773 is divided by 12? 9 Calculate the remainder when 189 is divided by 47. 1 What is the remainder when 198 is divided by 101? 97 Calculate the remainder when 1285 is divided by 224. 165 Calculate the remainder when 642 is divided by 15. 12 What is the remainder when 97 is divided by 20? 17 Calculate the remainder when 1392 is divided by 41. 39 What is the remainder when 81 is divided by 52? 29 Calculate the remainder when 40 is divided by 10. 0 Calculate the remainder when 338 is divided by 31. 28 What is the remainder when 3153 is divided by 22? 7 What is the remainder when 664 is divided by 37? 35 What is the remainder when 670 is divided by 205? 55 Calculate the remainder when 3510 is divided by 875. 10 What is the remainder when 71 is divided by 22? 5 What is the remainder when 8103 is divided by 42? 39 What is the remainder when 698 is divided by 32? 26 What is the remainder when 1854 is divided by 58? 56 What is the remainder when 253 is divided by 67? 52 Calculate the remainder when 7832 is divided by
{ "pile_set_name": "DM Mathematics" }
t a prime number? False Let o = -4 + 6. Let y(c) = -c + c**3 - 2 - 4*c**2 - 2*c**o + 0*c**2. Is y(8) prime? False Is 0 + ((-82938)/18 - 4)*-3 composite? True Suppose s = 5*v - 23102, 6*s - 4*s - 13869 = -3*v. Is v prime? True Suppose 3*u - 1699 = 4*t + 809, 5*u - 4*t = 4188. Suppose 0 = 6*o - 4*o - u. Let q = -219 + o. Is q composite? True Let n = -20 - -23. Suppose -6*j = -n*j - 1281. Is j a composite number? True Suppose 3*d = 15, -5 = a - 5*d + 18. Let y = 7 - 2. Suppose -v = -2*f + v + 356, -359 = -a*f + y*v. Is f prime? False Suppose 5*i + 5*s + 25 = 0, 4*i - 3*s + 34 = -0*s. Is (-1 + 2)/(i*1/(-16751)) a composite number? False Let s = 65 - 63. Let f(u) = 9*u**3 + u**2 - 6*u + 3. Is f(s) prime? True Let v(i) = 6*i**2 + 17*i + 118. Is v(-7) a prime number? True Suppose -d = -2*d - 1. Let c = d - -1. Suppose -1191 = -5*b - 4*j, c = 4*b + j - 775 - 169. Is b composite? True Suppose -o = 84*m - 89*m - 24207, 48396 = 2*o - m. Is o a composite number? False Suppose 4*a = 2*u - 20058, 27*u - 24*u - 3*a = 30099. Is u a composite number? False Let w = -1666 - -5511. Is w composite? True Suppose -r - 1066 = -3*w + 9410, 0 = -2*w - 4*r + 6970. Is w a prime number? True Suppose 4*r - 308 = 5*s - 92, 2*r = -2*s - 90. Let a = -38 + 116. Let i = s + a. Is i composite? True Suppose -24*x = -27*x - 36. Let k = 31 - x. Is k a prime number? True Let a(n) = -27*n**2 - 20*n - 5. Let z(k) = 7*k**2 + 5*k + 1. Let t(v) = 2*a(v) + 9*z(v). Is t(4) a prime number? True Suppose 17*n - 20*n = -1716. Let u = 1723 - n. Is u a composite number? False Let r(a) = -6*a**2 - a + 2*a + 5*a**2 + 2*a + 55. Is r(0) prime? False Suppose -q - 8 = -4. Let r(z) = -z + 3. Let m be r(q). Suppose m*t - t = 1266. Is t prime? True Let h(w) = -221*w - 4. Is h(-7) a composite number? False Suppose 0 = 10*r + 4*r - 51562. Is r composite? True Let z = 56877 - 34636. Is z a composite number? True Suppose -12*s + 393 - 105 = 0. Suppose s*r - 17*r = 931. Is r composite? True Suppose -6*r = -1457 - 385. Is r prime? True Suppose -4*x - 3*a - 64 = 0, 3*x + 2*a + 2*a + 55 = 0. Let d = x + 10. Is (d - 50)/((-2)/2) a composite number? False Let h(b) = -b**3 - 3*b**2 + 4*b - 11. Let g(i) = -i**2 - 1. Let w(v) = -5*g(v) + h(v). Let q be w(6). Let p = q + 217. Is p a prime number? False Let b(d) = d**3 - 37*d**2 + 33*d - 32. Let q(x) = x - 1. Let a(p) = -b(p) + 3*q(p). Is a(25) a prime number? True Let y = 8 - 6. Suppose 0 = -0*x + x + s - 92, y*x + 5*s - 181 = 0. Is x composite? True Let v = 31 + -220. Is ((-1)/3 - -1)/((-18)/v) a prime number? True Let m(c) = -4*c**3 - c**2 + 4*c - 5. Let x(s) = 3*s**3 + 2*s**2 - 4*s + 4. Let u(k) = 4*m(k) + 5*x(k). Let l be u(5). Is l - 2 - (-104)/2 a prime number? False Suppose -16852 = -6*m + 16946. Suppose m + 2260 = 9*j. Is j prime? True Let i(f) = 4*f**2 + 9*f + 12. Let b be i(-6). Let o(t) = -t**3 + t**2 - t + 35. Let p be o(0). Suppose b = j + p. Is j composite? False Let w(v) = 93*v + 25. Suppose 5*z + 5*u = 60, -13 = -4*z + 4*u + 19. Is w(z) prime? False Is 1069400/120*9/15 a prime number? True Let w(x) be the third derivative of -x**7/315 - x**6/144 + x**5/60 - x**2. Let y(q) be the third derivative of w(q). Is y(-6) composite? True Suppose 2*u + 2*u = 3*c + 15, 2*c + 10 = 3*u. Suppose u = 12*z - 8*z - 1292. Is z a composite number? True Let p be (-596)/(-16)*(-6 - -2). Let w = p - -253. Let f = w - 51. Is f composite? False Suppose -5*o - 23 = -2*s, 8*o = 5*s + 3*o - 35. Suppose 4*z + 3*n - 2*n - 2527 = 0, n + 2521 = s*z. Is z a prime number? True Let f(l) = -2 + 4 + 194*l + 3 - 621*l. Let z be f(-3). Suppose x - 628 = i, -2*x - 4*i = -0*x - z. Is x prime? False Suppose -h + 3 = -3*i, -h - 4*h = i + 17. Is -142*9/12*i a prime number? False Suppose -5*d - 269 = -4*g, 0 = 3*g - 6*g + 2*d + 200. Let f = g - -271. Is f a composite number? False Let q(b) = b - 2. Let s be q(7). Suppose -s*y + 951 = -1754. Is y a composite number? False Let l(s) = -104*s - 17. Let b be (15/(-10))/((-2)/(-12)). Is l(b) a prime number? True Let q be (-112)/6*18/(-4). Let z be (-2)/3 - q/(-18). Suppose -754 = -z*d + 10. Is d prime? True Suppose 4*i - 8613 = -m, 6*i = 2*i + 5*m + 8607. Is i a prime number? True Let i(m) = m - 1. Let h be i(1). Suppose h*j + 2*j = -708. Let p = -191 - j. Is p a composite number? False Let u = -25 - -26. Let m be -1 + u + (283 - 1). Let k = m + -71. Is k a composite number? False Let h(r) = -2*r**3 - 6*r**2 + 6*r + 8. Let y be h(-6). Suppose -2*z + 4*z = -2*n - y, 3*z + 380 = -4*n. Let m = n - -175. Is m prime? False Suppose 3*c - 5*z + 3*z - 30 = 0, -2*z + 10 = 2*c. Suppose 0*r + c = -r. Is (-4 - r) + -6 - -168 composite? True Let i(x) = 317*x**2 + 4*x + 1. Suppose -4*b = 5*a + 2, 8*b + 3 = 7*b. Is i(a) a prime number? True Is (-3802)/6*(-16 + 13) a composite number? False Let d(p) = -211*p - 21. Let b be d(8). Let w = 4366 + b. Is w prime? True Let q(f) = 33*f**2 + 14*f + 10. Let l = 130 + -137. Is q(l) a prime number? False Suppose -4052 = -2*n + 5*v + 1937, 4*n - 12043 = -3*v. Is n a composite number? True Is 922830/228*(2 - 0/1) prime? False Suppose -5*j = -2689 - 4426. Is j a prime number? True Is 519*5/30*(36 - 2) a composite number? True Suppose 3*o - 147 = -2*x, -125 = -4*o + 3*x + 54. Suppose n - 6*n + o = -4*k, 0 = -4*k + 3*n - 49. Let g = 23 + k. Is g prime? False Let i = -2565 + 5704. Is i prime? False Let x be (-1)/((-2*2)/28). Suppose 0 = -2*p + 7 + x. Let v(n) = -n**3 + 12*n**2 + 9*n - 1. Is v(p) a prime number? True Let m be (-4 - 28/(-3))*-3. Let z = m + 23. Let b = z - -52. Is b a prime number? True Let y(q) = -779*q - 509. Is y(-72) composite? False Let y(c) = -11*c**3 - 18*c**2 - 8*c + 18. Is y(-11) a composite number? False Is (387 + (-30)/6)/(4/6) a composite number? True Suppose -l - 4*i + 3*i = 4, 3*i + 12 = -4*l. Suppose -5*x - t = l, 0 = -x - x + t - 7. Let j(k) = 82*k**2 - 2*k - 1. Is j(x) prime? True Suppose -5*s + 4*s = 0. Suppose -3*t + 478 = r, s = -2*r + t - 2*t + 971. Is r composite? False Let p(s) = -4*s - 1. Suppose 3*t = 37 - 106. Is p(t) a prime number? False Suppose -5*p + 5845 = -5785. Let i = p - 633. Is i prime? True Suppose 102*x + 10245 = 107*x. Is x composite? True Let r(d) = -383*d - 1. Suppose s = -4*b + 5, -3*s + 14 = -7*s + b. Let u be r(s). Let h = u + -561. Is h composite? False Let l(w) = -7 - 135*w + 12 - 1. Is l(-5) prime? False Let m = 41 - 139. Is 42/m - 11696/(-14) a composite number? True Suppose 10*z + 33265 - 124575 = 0. Is z a composite number? True Suppose -6*n - 42605 = -5*s - 7*n, -5*s + 42605 = 2*n. Is s prime? True Let c be ((2 - -1) + -1)*23. Suppose 39 + c = -n. Is (-17)/(n/4200) + -1 composite? False Is (-17625)/(-21) + (-24)/84 a composite number? False Suppose 3*l + 3*w - 11980 - 11756 = 0, -4*w = -3*l + 23743. Is l a prime number? False Suppose -h + 5*o = 28 + 13, -3*h = -5*o + 83. Let b be 44640/35 + 9/h. Suppose 659 = 4*x + a - 341, 0 = 5*x - 5*a - b. Is x prime? True Suppose 6*l = 14*l - 49432. Is l a composite number? True Suppose 2*s + 0*o = o + 6, 5*s - o = 15. Suppose -4*h - s*w + 138 = 0, -2*w = -2*h + 9 + 53. Suppose k + 12 = h. Is k a composite number? True Let r = 103 - -154. Is r composite? False Suppose 0 = -714*g + 715*g - 16433. Is g a composite number? False Let h = 22 - 18. Suppose h*y = 686 + 2990. Is y a composite number? False Let i = 14 + -14. Suppose 3*c + o - 2 = i, -c - o + 3*o = -10. Suppose 2*b - 134 = -4*u, c*b = -0*b - 3*u + 139. Is b a composite number? True Suppose -16 = 3*z - 1. Is (91/(-3))/(z/15) a composite number? True Let k = -1952 + 7471. Is k a prime number? True Let k = -13 - -15. Is (k/6)/((-1)/(-921)) a prime number? True Let j(v) = 17*v**2 + v + 3. Let g(r) = -r**2 - 12*r + 13. Let h be g(-13). Suppose h = 4*p - 16, 3*i - i - 26 = -5*p. Is j(i) a composite number? True Suppose v = n + 121, 0 = -2*v - 10 + 2. Suppose y = -y - 432. Let t = n - y. Is t a composite number? True Let p(y) = y**3 + 21*y**2 - 122*y + 7. Is p(23) a prime number? True Let b(d) = -4*d**2 + 14*d - 35. Let y be b(14). Let k = 1060 + y. Is k a prime number? False Let o = 481 + -282. Suppose o = i + 19. Let v = i - 113. Is v a composite number? False Let v(u) = -u**3 + 14*u**2 - 12*u - 17. Let k(r) = -r**3 - 6*r**2 - 8*r - 3. Suppose 3 - 13 = 2*b. Let i be k(b). Is
{ "pile_set_name": "DM Mathematics" }
. Calculate g(d(j)). -196*j**4 Let w(h) = -9*h. Let x(p) = 8*p. What is x(w(v))? -72*v Let a(t) = -3*t. Let f(y) = 4*y**2 - 98 + 98. Give a(f(p)). -12*p**2 Let m(k) = 33*k**2. Let o(f) be the first derivative of 2*f**3/3 - 30. What is o(m(h))? 2178*h**4 Let f(l) be the first derivative of -l**3/3 - 3. Let r(i) = -2*i. What is f(r(u))? -4*u**2 Let d(c) = 5*c**2. Suppose -3*a + 3 = -0*a. Let k(u) = -4*u. Let z(h) be the second derivative of -h**3/6 - h. Let t(y) = a*k(y) - 2*z(y). Determine d(t(m)). 20*m**2 Let q(x) be the first derivative of 5*x**3/3 + 10. Let z(k) = -5*k**2. Calculate q(z(o)). 125*o**4 Let d(f) = 19*f**2 - f + 24. Let z(p) = 2*p. Give d(z(a)). 76*a**2 - 2*a + 24 Let a(l) = l + 5. Let x(g) = 1. Let q(z) = -a(z) + 5*x(z). Suppose h + 0*h = 1. Let t(f) = 3*f + h - 1. Determine q(t(s)). -3*s Let i(q) = -q**2. Let k(m) = -534*m - 14. What is i(k(t))? -285156*t**2 - 14952*t - 196 Let k(j) = j**2. Let p(s) = -4515*s**2 - 2*s - 1. What is p(k(u))? -4515*u**4 - 2*u**2 - 1 Let d(k) = k. Suppose 0 = -3*l + 2*t + 42, 4 - 5 = -l + 5*t. Let p(q) = 3 + 12 + 1 - 28*q. Let c(v) = -9*v + 5. Let u(h) = l*c(h) - 5*p(h). What is d(u(m))? -4*m Let o(l) = -2*l**2. Suppose t = 2*j - 6, 3*t - 8*t + 4*j = 0. Let a(v) = -4 + 4 + t*v. What is a(o(h))? -8*h**2 Suppose -3*n + 16 = -2*i, -n + 3*n + 21 = -5*i. Let h(d) = 5*d**2 - 2*d**n - 2*d**2. Let o(p) = 4*p. Give h(o(c)). 16*c**2 Let t(h) be the second derivative of -h**3/6 + 3*h. Let c(o) = 2*o + 3. Let b(w) = w - 8*w - 14 - 5*w + 2*w. Let x(d) = 6*b(d) + 28*c(d). What is x(t(y))? 4*y Let y(s) = 2*s + 197. Let n(a) = -8*a**2. What is y(n(z))? -16*z**2 + 197 Let n(z) = 29*z**2. Let v(y) = 9*y**2. Calculate n(v(d)). 2349*d**4 Let h(a) = -2*a. Let x(m) be the third derivative of -17*m**5/60 + 31*m**2. Give x(h(v)). -68*v**2 Let v(l) = l**2. Let h(n) = n**2 + 1. Let y(f) = f**2 - 1. Let j(q) = -20*q**2 - 8. Let a(r) = j(r) + 4*y(r). Let p(d) = -a(d) - 12*h(d). What is v(p(u))? 16*u**4 Let v(n) = -n. Let h(s) = 15*s. Determine v(h(f)). -15*f Let w(k) = 15*k. Let n(j) = 50*j**2. What is n(w(v))? 11250*v**2 Let s(m) = -2 + 2 - 2*m. Let v(p) be the first derivative of 6*p**2 + 6. What is s(v(b))? -24*b Let n(i) = -2*i**2 + i. Let o(c) = -3*c**2. Determine o(n(g)). -12*g**4 + 12*g**3 - 3*g**2 Let a(b) = -42*b**2. Let x(y) = -3*y**2. Determine x(a(f)). -5292*f**4 Let f(w) = 2*w. Suppose -12 = 3*z + z. Let k = 7 + z. Let r(g) = -k*g - g + 3*g. Determine r(f(s)). -4*s Let a(n) = 23*n. Let l(u) = 19*u. Calculate l(a(z)). 437*z Let l(k) = -8*k**2 + 6*k**2 + 0*k**2. Let z(x) = 2*x + 7*x + 4*x. Determine l(z(q)). -338*q**2 Let x(s) = s. Let k(h) = 2*h**2 + 332*h - 11. What is x(k(a))? 2*a**2 + 332*a - 11 Let z(q) = 3*q**2. Let j(r) be the third derivative of r**6/360 - r**4/6 - r**2. Let c(l) be the second derivative of j(l). What is c(z(o))? 6*o**2 Let v(r) = -2*r. Let k(g) be the second derivative of g**7/2520 + g**4/3 - 4*g. Let a(p) be the third derivative of k(p). Give a(v(s)). 4*s**2 Let w(q) = -q. Let y(t) = 4*t**2 - 2*t - 4*t**2 + t**2. Let g be y(2). Let n(f) = g - 1 + 1 + f. What is w(n(u))? -u Let p(m) = -m. Let v(f) be the third derivative of -f**7/504 + f**4/12 + 6*f**2. Let d(o) be the second derivative of v(o). Calculate p(d(c)). 5*c**2 Let q(v) = -2*v**2 - 4*v**2 - v**2 + 3*v**2. Let f(m) = 4*m**2. Calculate q(f(d)). -64*d**4 Let x(f) = 131*f**2. Let y(l) = -2*l**2. What is y(x(s))? -34322*s**4 Let r(z) = 2*z - 104. Let p(h) = -2*h**2. What is r(p(y))? -4*y**2 - 104 Let a(o) = 2*o**2. Let c(n) = -41*n**2 - 28*n - 1. Determine c(a(v)). -164*v**4 - 56*v**2 - 1 Let a(p) = -787*p. Let h(v) = -v**2. Calculate h(a(c)). -619369*c**2 Let q(d) = -d. Let w = -6 + 8. Let h(f) = f**2 - 5*f**2 + 2*f**2 - 3*f**w. Give q(h(l)). 5*l**2 Let u(n) = -n**2 - 2*n + 2. Let r(h) = 3*h**2 + 5*h - 5. Let c(s) = 2*r(s) + 5*u(s). Let w(o) be the first derivative of 5*o**2 + 1. Determine c(w(q)). 100*q**2 Suppose -2*x = i - 1, -3*x + 4 = -i + 3*i. Let k(y) = 2*y + 0 + i - 5. Let t(c) = -10*c. What is t(k(m))? -20*m Let f(b) = -37*b - 4. Let j(u) = -36*u - 3. Let w(l) = 3*f(l) - 4*j(l). Let h(n) = 3*n**2. Give h(w(r)). 3267*r**2 Let r(h) = -4*h**2 - h**2 + 6*h**2. Let w(x) = 8*x**2. Give w(r(s)). 8*s**4 Let t(y) = 2*y - 2*y + y. Let m(q) be the third derivative of -q**5/60 - 3*q**2. Calculate t(m(x)). -x**2 Let v(m) = -m. Let s(n) = 4*n**2 - 3*n - 3. Let y(q) = 68*q**2 - 52*q - 52. Let b(d) = -104*s(d) + 6*y(d). What is b(v(k))? -8*k**2 Let u(d) = -d**2. Let g(f) be the third derivative of f**7/360 - f**5/12 - 4*f**2. Let a(l) be the third derivative of g(l). Give a(u(i)). -14*i**2 Let h(v) = 0*v**2 - v**2 - v**2. Let y(b) be the first derivative of b**3/3 + 90. Give h(y(r)). -2*r**4 Let o(q) = -q - 4. Let i(u) = -1. Let l(b) = 4*i(b) - o(b). Let y(r) = 2868 + 5*r**2 - 2868. Determine y(l(t)). 5*t**2 Let y(i) = i**2 + 7*i. Let q(x) = x. Determine y(q(a)). a**2 + 7*a Let g(a) = -2*a**2. Let u(h) = 4*h**2 - 3. Let z(n) = n**2 + 1. Let s(i) = -u(i) + 3*z(i). Let y(f) be the first derivative of s(f). What is y(g(o))? 4*o**2 Let j(z) be the first derivative of -z**3/3 - z - 1. Let b(c) be the first derivative of j(c). Let r(f) = 71*f - 71*f + 2*f**2. Give r(b(v)). 8*v**2 Let n(o) be the second derivative of -o**3/3 - 38*o. Let b(j) = -16*j. Determine b(n(t)). 32*t Let z(d) = d**2. Let a = -38 + 38. Let t(q) be the third derivative of 1/12*q**4 + a*q + q**2 + 0 + 0*q**3. What is t(z(k))? 2*k**2 Let f(y) = -11*y. Let p(v) = 2*v - 21. What is p(f(u))? -22*u - 21 Let v(r) = 145*r. Let s(m) = -m. Calculate v(s(u)). -145*u Let f(v) = 20*v**2 + 2. Let u(d) = -5*d**2. Give u(f(x)). -2000*x**4 - 400*x**2 - 20 Let x(c) be the first derivative of -5*c**3/3 + 4. Let p(h) = 5*h**2. Give x(p(o)). -125*o**4 Let l = 6 + -4. Let m(d) = -2*d**2 - 2*d**2 + l*d**2. Let j(h) be the third derivative of -h**4/12 - 21*h**2. Determine j(m(y)). 4*y**2 Let k(q) = 4*q**2 - 2*q**2 + 0*q**2 + 0*q**2. Let d(f) = 9*f**2. Determine d(k(r)). 36*r**4 Let p(m) = -75*m**2. Let q(h) = -7*h. Determine p(q(s)). -3675*s**2 Let s(j) = 4*j - j - j + 0*j. Let p = 0 - -5. Let a(q) = p*q - 5*q + q**2. Give a(s(n)). 4*n**2 Let f(a) = -a - 710. Let z(d) = -2*d**2. Calculate z(f(h)). -2*h**2 - 2840*h - 1008200 Let l(a) = -10*a. Let y(v) = -2*v**2 + 5*v + 5. Let h(g) = -g - 1. Let s(x) = -5*h(x) - y(x). What is l(s(w))? -20*w**2 Let g(k) = 2*k. Let j be g(1). Let v(i) = 0*i**j + 0*i**2 - 4*i**2 + 3*i**2. Let m(y) = -8*y. What is m(v(x))? 8*x**2 Let s(w) = -3*w**2. Let n(y) = -9*y + 4. Let a(d) = -100*d + 45. Let i(k) = -4*a(k) + 45*n(k). Give s(i(q)). -75*q**2 Let u(c) be the third derivative of c**4/12 - 15*c**2. Let p(o) = 0*o - 2*o - o. What is u(p(y))? -6*y Let v(s) = s. Let j(p) = -7*p + 12*p + 8*p. Give j(v(q)). 13*q Let k(n) = 47*n. Let c(r) = -r. Calculate k(c(w)). -47*w Let f(s) = s**2 - s. Suppose -2*b - 6 = 0, -3*l - 4*b - 12 + 3 = 0. Let o(n) = 3*n**2 - n. Let i(r) = l*o(r) - f(r). Let y(p) = 2*p**2. What is i(y(t))? 8*t**4 Let g(a) be the third derivative of 0*a**3 + 0 + 0*a - 1/12*a**4 - 2*a**2. Let h(f) = -2*f - 9. Let c(b) = b + 4. Let l(j) = 9*c(j) + 4*h(j). Give g(l(z)). -2*z Suppose -f - 1 = 0, 0 = 4*v + f + 2 - 1. Let r(c) be the third derivative of -2*c**2 + 0*c**3 + 1/24*c**4 + 0 + v*c. Let u(i) = i. What is r(u(p))? p Let q(n) = 0*n - 3*n + 4*n. Let s(o) = 4*o**2. Determine q(s(j)). 4*j**2 Let n(x) = 2*x. Let d(p) = -8*p**2 + 6. Let i(o) = 1 + 17*o**2 - 15 + 1. Suppose 0*q - 26 = -2*q. Let c(z) = q*d(z) + 6*i(z). Calculate n(c(g)). -4*g**2 Suppose 0 = 2*b - 7*b. Let t(g) = -g - g + b*g + 3*g. Let n(l) = 2*l. What is t(n(f))? 2*f Let p(h) = 96*h**2 + 2. Let c(f) = 3*f. Give p(c(s)). 864*s**2 + 2 Let l(z) = z**2. Let k(o) be the first derivative of -4*o**3 - 28. What is k(l(q))? -12*q**4 Let r(h) = 68*h**2. Let n(d) = d. What is r(n(t))? 68*t**2 Let y(h) = -2*h + 4. Let f(z) = -3*z + 5. Let x(p) = -4*f(p) + 5*y(p). Let b(i) = -11*i. What is b(x(u))? -22*u Let i(s) = -3*s - 72. Let k(l) = -2*l**2. Give k(i(u)). -18*u**2 - 864*u - 10368 Let n(h) = -2*h**2. Let s(y) = -4*y - 10. Let l(k) = k + 3. Let v(w) = -10*l(w) - 3*s(w). Calculate n(v(z)). -8*z**2 Let y(g) = -3*g. Let r(a) = a**2 - 384*a. Determine y(r(n)). -3*n**2 + 1152*n Let h(k) = k. Suppose -6*w + 5*w =
{ "pile_set_name": "DM Mathematics" }
llest value? (a) m (b) -7 (c) 3 (d) 0.11 b Let j = 15552/11 - 1414. Let v = 20 - 18. Which is the fourth biggest value? (a) v (b) 0 (c) j (d) -16 d Let f = -1.8 - -1.97. Let u = 7847 - 7846.7. Which is the fourth smallest value? (a) u (b) f (c) 0.06 (d) 2 d Let z = -135.36 + 136. Let f = z + 13.36. Let l = -12 + f. Which is the biggest value? (a) l (b) -1/3 (c) -1 a Let f = 120310.8 - 120306.8. Let v = 696 - 41067/59. Which is the third biggest value? (a) 5 (b) f (c) v c Let d = 14835/13 + -1141. Let q be ((-3)/6*0)/(-1). Suppose -v - 9 + 8 = q. Which is the biggest value? (a) v (b) d (c) -0.1 b Let f = 0.235 - -687.765. Let d = 678 - f. What is the biggest value in -2, -4, d? -2 Let r = -4583 - -4575. What is the second smallest value in -0.3, r, -1/19? -0.3 Suppose 0 = -3*y + 102 - 105, 4186 = 2*k + 2*y. Let t = 20939/10 - k. Let w = -1 + 1.1. What is the biggest value in t, w, 20? 20 Let n = 3.6 - 0. Let y = -15.065 + 15.065. Which is the third biggest value? (a) 5 (b) n (c) y c Let y be 21/6*(-232)/406. Let r be -2 + 3*21/27. What is the biggest value in r, -1/3, y? r Let n = 43.96 + -49. Let z = -0.04 - n. Suppose 0 = 2*d - 4*q - 26, 2*d + q = 11 - 0. Which is the second smallest value? (a) -0.1 (b) z (c) d b Let k = 10969 - 10969.8. What is the fifth smallest value in -1/3, 1, -0.02, k, -0.2? 1 Let k = -7.193 - -6.793. Let p = 117 - 76. Which is the third smallest value? (a) p (b) k (c) 0.5 a Let v = 1173.97 + 123.43. Let s = -1297 + v. Let p = 0.3 + -0.1. Which is the smallest value? (a) -5 (b) p (c) s (d) 2/11 a Let u = -91 - -109.8. Let z = 16.8 - u. Suppose 0 = -c - 0*c. What is the third biggest value in z, 4, c? z Let i = 4.8386 - -0.1614. What is the biggest value in -0.2, i, -409? i Let s = 0.121 + 53.879. Let h = s - 53. Let j be 1 - (-2)/(-2)*-3. What is the biggest value in 1/2, j, h? j Let g = -0.08 - 6.92. Let q = g - -7.4. Let z be (-63)/(-70)*8/6. What is the third smallest value in 0.5, q, z? z Let c = -29456 - -29452. What is the third smallest value in -0.5, c, 0.3, -11/3? -0.5 Let u = 4.164 + -0.164. Let y = 581 + -584. Which is the third smallest value? (a) u (b) 2/3 (c) y a Let i = 60 + -59.946. Let r = 3.054 - i. Let d = 14 - 17. Which is the third biggest value? (a) r (b) d (c) 0.4 b Let v be -8 + 26 + 318/(-18). Which is the smallest value? (a) -0.5 (b) v (c) 0 (d) -269 d Let p = -1154.79 - -1154.8. What is the smallest value in -105, -6, p? -105 Let j = -0.96 - -18.96. Let x = 108 - j. Let t = x + -89. What is the smallest value in t, 0.14, 0? 0 Let a = 3.662 - 2.662. What is the third biggest value in 0.2, -5, 3/7, -0.062, a? 0.2 Let n be 3*(-8 + (-2)/(288/(-1160))). Let u = 290/63 + -44/9. What is the smallest value in 0.01, n, -2/19, u? u Let q = 197.3 - 36.3. Let s = q + -161. Let m = 5 + -8. What is the third biggest value in s, 0.4, -1/3, m? -1/3 Let a(o) = o**2 + 7*o - 6. Let b be a(-7). Let p = -16496 + 16491. What is the biggest value in -2/7, p, b, 4? 4 Let f be ((-199)/12*-4)/(1/3). Let h = f + -194. What is the second smallest value in 0.4, 2/3, 5/3, h? 2/3 Let u = -2194 - -2224. Let q = -0.12 + 0.12. Let y = -0.1 - q. Which is the biggest value? (a) -1 (b) -2/3 (c) u (d) y c Let u(y) = 5*y + 27. Let w be u(-5). What is the third biggest value in 48/11, -12, w? -12 Let r = 0.4102 + 0.5898. What is the fourth biggest value in 2.1, 3, 2/7, r? 2/7 Let t = -3556 - -3544. What is the biggest value in 1, t, 2, 3? 3 Let r be 0/(60/10) + 3/(-3) + 6. Let z(i) = -i**2 - i - 3. Let l be z(0). Let y be (l*(-2)/(-8))/(-2). Which is the second biggest value? (a) y (b) r (c) 0.2 a Let t be (-1092)/117 + (10 - 2). Let p = 0.13 + -1.43. Which is the smallest value? (a) t (b) 1/2 (c) p a Let x = -38.2 + 302.2. Let i = x + -264.4. Which is the third biggest value? (a) -0.5 (b) -0.08 (c) i (d) 3/5 c Let m(i) = -i**3 - 10*i**2 + 10*i - 8. Let s be m(-11). Suppose -l = -7*l - 612. Let k = l - -102. What is the second smallest value in s, -0.1, k? k Let j = 36 + -1. Let v = 30 - j. Let m = -35 + 33. What is the second biggest value in -1/25, m, v? m Let d = 1.2729 - 0.8729. Which is the biggest value? (a) 0.88 (b) 4 (c) d b Let y(z) = -z**3 + 4*z**2 + 2*z + 14. Let f = 247 + -242. Let t be y(f). What is the second biggest value in t, 7/6, 5? 7/6 Suppose 0 = -17*t + 18 - 4 + 20. Which is the third smallest value? (a) t (b) -2/5 (c) -1/7 (d) 1/23 d Let s = -5.16 - -1.18. Let w = s + -0.02. Let j = 2.245 + 1.755. Which is the second biggest value? (a) -2/7 (b) j (c) w a Suppose 56*k = 68*k - 36. What is the third biggest value in -4, k, -806, -0.2, 4? -0.2 Let z = 3093 - 3092.6. Let p = 5.03 + -5. Let f = p - -5.97. Which is the second biggest value? (a) 4 (b) f (c) z a Let x(c) = -c + 91. Let p be x(0). Let g = p + -66. Let t be ((-70)/g)/7 - (-7)/30. What is the biggest value in -5, t, -0.21? t Let w = 0.2 - -0.2. Let v = -0.1596 + -0.0404. Which is the biggest value? (a) v (b) 1 (c) w (d) -1/2 b Let f = -423 - -421. Which is the third biggest value? (a) -35 (b) -7 (c) f (d) 2 b Let y = -1768.3 - -1697. Let l = y + 76.3. Which is the smallest value? (a) l (b) -0.9 (c) -0.5 (d) -0.2 b Let o be -26 + 478/15 - 6. What is the second biggest value in 14, -2/11, 0, o? 0 Let f = 554 + -402. Let t = -151.5 + f. Let p = 14/23 + -304/575. What is the third smallest value in p, -3/5, t? t Let j = -1085 - -1084.5. What is the second smallest value in j, -0.13, 4, -2? j Let d = 1 + -3. Let n = 1241 + -1237. Let w = 3.52 + -1.52. Which is the third smallest value? (a) n (b) d (c) w a Let o = 10 - 6. Let w be (-5)/2 - (1 - o). Let y = -0.15 - -0.05. Which is the third biggest value? (a) y (b) -0.5 (c) w b Let m = -34 + 18. Let r be (-132)/m*4/3. Let y = r + -10. Which is the third biggest value? (a) y (b) 0.07 (c) 5 b Let w = 1.338 - 5.338. What is the third biggest value in w, -7, 0.15, -5? -5 Let x be (4/(-6))/(-5 - (-70)/15). Let m = 0.4 + -5.4. Which is the second biggest value? (a) m (b) 4 (c) 5 (d) x b Let r = -664.9444 - 0.0556. Let i = -661 - r. Which is the third biggest value? (a) 1 (b) i (c) 2 a Let t = -7.527 - -7.227. What is the fifth smallest value in -104, 3/4, -2/5, 4, t? 4 Let c = -0.4 - -2.4. Suppose 0 = -18*u + 70 + 344. Let q = 23 - u. What is the smallest value in c, 0.3, q? q Let i be (-6)/20*149/(-1788). Which is the biggest value? (a) i (b) 0.2 (c) -0.09 b Let n = 6891 - 6914. What is the second smallest value in n, -8, 5, -3? -8 Let z = 10993 + -10988. Let r(p) = -5*p - 1. Let u be r(-1). Let o = 0.21 + -0.18. Which is the second smallest value? (a) o (b) u (c) z (d) 1/8 d Let l = 3087/2 + -1544. Suppose -14 = 4*h + t, 3*h - 2*t = 2*t - 1. Let w be 1/h + 0 + -1. Which is the fourth biggest value? (a) 5 (b) 2 (c) l (d) w d Let l = 4844/3 + -23986/15. Which is the third biggest value? (a) -1 (b) l (c) -2/7 (d) -2 a Let m be (7/(-21))/(-9*(-2)/54). Suppose -25 = -5*x + j, 8 + 13 = 4*x - j. Which is the smallest value? (a) x (b) 2 (c) m (d) 0.26 c Let w = 1 - 4. Suppose -2*g = -8*g - 6. Let p be 51/30 + 18/10 + g. What is the smallest value in 4, w, p? w Let z = -298.2 - -298.3. Let r = -0.026 - 7.974. Which is the third biggest value? (a) z (b) r (c) 2 b Let n = 2 - 1. Let w be 528/(-2112)*8/7. Let u be ((-10)/18)/((-2)/(-6)). Which is the biggest value? (a) w (b) n (c) u b Let j be ((0*4/20)/(-4))/(-2). Let k = 39.9 - 40. Which is the smallest value? (a) 4 (b) -0.4 (c) j (d) k b Let s be (30/56 + (-4)/14)*3. Which is the fourth smallest value? (a) 0.2 (b) s (c) 7 (d) 0 (e) 29 c Let y = -1.136 - -0.7. Let q = 0.036 + y. Let n = -107/148 + -1/37. Which is the second smallest value? (a) 0 (b) n (c) q c Let i = -3117 - -3116.8. Let p be 2/10 - 12/(-15). What is the second biggest value in i, 5/3, p, 0? p Let s = -1/1530 - -2297/3060. Which is the third biggest value? (a) s (b) 263 (c) -5 c Let v be (-24)/(-7) - (992/224 - 5). What is the second smallest value in -2.3, v, 1, 2? 1 Let t = -1899 + 1894. What is the smallest value in -3/4, 12, t, -1? t Suppose 273 = -55*i + 658. Which is the third biggest value? (a) i (b) -1 (c) 39/5 b Let q = 10015 + -10018.5. What is the fourth
{ "pile_set_name": "DM Mathematics" }
hat is -105.320397 rounded to the nearest one thousand? 0 Round 0.00825761311 to seven dps. 0.0082576 Round -9119133.13 to the nearest one million. -9000000 What is 23.03199797 rounded to the nearest integer? 23 What is 12.478709649 rounded to 1 dp? 12.5 What is -4.333576374 rounded to three dps? -4.334 Round -53.85303 to the nearest 10. -50 Round -11158042.38 to the nearest one thousand. -11158000 Round -238.139733 to the nearest integer. -238 What is 18760323518 rounded to the nearest one hundred thousand? 18760300000 What is -176991687.7 rounded to the nearest 10000? -176990000 Round -401782220.7 to the nearest 1000000. -402000000 What is 40987810 rounded to the nearest 1000000? 41000000 Round -0.000000537642155 to seven decimal places. -0.0000005 What is 6890558.87 rounded to the nearest 1000000? 7000000 Round -1.4195553 to the nearest integer. -1 Round -24.832301 to the nearest 10. -20 Round -0.0000077185404 to 6 decimal places. -0.000008 Round -4.322255783 to the nearest integer. -4 What is 0.000717109679 rounded to 4 decimal places? 0.0007 What is -903.638379 rounded to the nearest 100? -900 What is 23097.2388 rounded to the nearest one hundred? 23100 What is 0.020582191 rounded to one dp? 0 Round 51260850 to the nearest 10000. 51260000 Round 37125300 to the nearest one million. 37000000 What is 249218.1857 rounded to the nearest 10000? 250000 Round -2.1157088 to four dps. -2.1157 What is 2.761951393 rounded to 4 decimal places? 2.762 What is -79.7886137 rounded to the nearest 10? -80 Round -0.0027571243 to 6 dps. -0.002757 Round -211652616.3 to the nearest one hundred thousand. -211700000 What is 133871097 rounded to the nearest one million? 134000000 Round -9884865.57 to the nearest 1000000. -10000000 What is 0.0001080260138 rounded to six dps? 0.000108 What is -0.056051806 rounded to five dps? -0.05605 What is -9.87288008 rounded to two dps? -9.87 What is 339891.5409 rounded to the nearest one hundred? 339900 Round -168.7436785 to one dp. -168.7 What is 0.00002709363218 rounded to six dps? 0.000027 Round 0.3678550552 to 2 decimal places. 0.37 What is 32308.85384 rounded to the nearest 1000? 32000 What is 1283422.763 rounded to the nearest 100000? 1300000 Round 1.219229103 to two dps. 1.22 What is -463359.849 rounded to the nearest 100000? -500000 Round 9.11932868 to 1 dp. 9.1 Round -212.11012 to the nearest integer. -212 What is -289534732 rounded to the nearest 10000? -289530000 What is -392030.5939 rounded to the nearest one thousand? -392000 Round -0.0223318461 to four decimal places. -0.0223 Round 8666128.38 to the nearest 100000. 8700000 What is -0.000117541911 rounded to six dps? -0.000118 What is 526.38676 rounded to the nearest one hundred? 500 What is -447418.634 rounded to the nearest one thousand? -447000 What is -12215775.4 rounded to the nearest 100? -12215800 What is -462340.334 rounded to the nearest one hundred? -462300 Round 19664102.476 to the nearest 10000. 19660000 Round -0.014744600554 to four decimal places. -0.0147 What is -0.0004169924373 rounded to 5 decimal places? -0.00042 Round -0.0056867371 to 5 dps. -0.00569 What is 0.01234656623 rounded to five decimal places? 0.01235 Round -476.051033 to the nearest integer. -476 What is -94607812 rounded to the nearest ten thousand? -94610000 Round 3.834701304 to 3 decimal places. 3.835 Round 0.000006690762 to 7 decimal places. 0.0000067 What is -0.0074418116 rounded to three dps? -0.007 What is 2018745.181 rounded to the nearest 10000? 2020000 Round 1653055.3 to the nearest one hundred. 1653100 What is 0.0000018316735 rounded to 7 dps? 0.0000018 What is 0.00281693882 rounded to three dps? 0.003 Round -0.0007590985 to four dps. -0.0008 Round -0.0021058928 to four dps. -0.0021 What is 4202940218 rounded to the nearest one hundred thousand? 4202900000 What is 1177353550 rounded to the nearest 1000000? 1177000000 What is 12321.76351 rounded to the nearest 100? 12300 What is 0.000001553634 rounded to 7 dps? 0.0000016 What is -0.00009667238 rounded to seven dps? -0.0000967 Round 73624005.7 to the nearest one hundred thousand. 73600000 What is -202426667 rounded to the nearest one million? -202000000 Round 877603539 to the nearest one hundred thousand. 877600000 What is 6.96423179 rounded to the nearest 10? 10 What is -659.78332 rounded to the nearest one hundred? -700 Round 2261.4573 to the nearest 100. 2300 What is 52701.507 rounded to the nearest one hundred? 52700 What is 0.00249343034 rounded to four decimal places? 0.0025 Round 50183596.83 to the nearest 1000000. 50000000 Round -0.06323077399 to 5 dps. -0.06323 What is 467.4467832 rounded to the nearest 10? 470 Round -45.8036044 to the nearest ten. -50 Round -0.123361522 to two decimal places. -0.12 What is -12322.105 rounded to the nearest one thousand? -12000 What is 648.722821 rounded to 2 decimal places? 648.72 What is 0.00047390828 rounded to seven decimal places? 0.0004739 What is -183.604921 rounded to the nearest ten? -180 Round -15195.29837 to the nearest 1000. -15000 Round -6707818637 to the nearest one hundred thousand. -6707800000 Round 180.247831 to the nearest integer. 180 What is -374.22468 rounded to 1 decimal place? -374.2 Round -1.350734894 to the nearest integer. -1 Round -20417.8661 to the nearest 100. -20400 Round -0.000667722 to two dps. 0 What is -48.8289955 rounded to one dp? -48.8 What is -23042 rounded to the nearest one hundred thousand? 0 Round 0.00301884791 to four dps. 0.003 What is 69.4181067 rounded to the nearest integer? 69 Round -768822470 to the nearest one hundred thousand. -768800000 Round -2890433.92 to the nearest 1000. -2890000 Round -0.0000000889264144 to 7 dps. -0.0000001 What is 13.5608447 rounded to two dps? 13.56 What is 3960840.4 rounded to the nearest one hundred thousand? 4000000 What is -1.758479925 rounded to 2 decimal places? -1.76 Round 0.000101813297 to seven dps. 0.0001018 What is -456945748.6 rounded to the nearest 1000000? -457000000 What is -1301007.9341 rounded to the nearest 100? -1301000 Round -3.79976734 to the nearest integer. -4 Round 17.72234764 to 1 decimal place. 17.7 Round 5755.47215 to the nearest one thousand. 6000 What is 0.069653376 rounded to 5 decimal places? 0.06965 Round -646303023 to the nearest one hundred thousand. -646300000 What is -834771.083 rounded to the nearest ten thousand? -830000 What is -0.3035236844 rounded to 1 dp? -0.3 What is 0.7000123 rounded to 3 dps? 0.7 Round -0.0170264016 to five dps. -0.01703 What is 52206.27864 rounded to the nearest 100? 52200 What is 0.0002626014205 rounded to five dps? 0.00026 Round 0.00000778866635 to 7 dps. 0.0000078 Round -22419.5961 to the nearest one hundred. -22400 What is -560.05326 rounded to 1 decimal place? -560.1 Round 1199.2758882 to the nearest ten. 1200 Round -156.099789 to 1 dp. -156.1 Round 3762229.7 to the nearest 1000. 3762000 Round 15229640457 to the nearest 1000000. 15230000000 What is -1440.85852 rounded to the nearest integer? -1441 What is 4.834568564 rounded to zero dps? 5 What is 38.2740303 rounded to 3 dps? 38.274 What is -5945815.575 rounded to the nearest 1000000? -6000000 What is 0.003617479387 rounded to five decimal places? 0.00362 What is -2688213830 rounded to the nearest one hundred thousand? -2688200000 Round 0.0001226664802 to five decimal places. 0.00012 What is 51606.8117 rounded to the nearest 100? 51600 What is -914561.6623 rounded to the nearest ten? -914560 Round 0.0000058136175 to six decimal places. 0.000006 Round 0.39394234 to the nearest integer. 0 What is 7401634.4 rounded to the nearest one thousand? 7402000 What is 0.0000141872544 rounded to seven decimal places? 0.0000142 Round -46155052 to the nearest one million. -46000000 What is -1460.57744 rounded to 0 dps? -1461 Round -125.318262 to the nearest integer. -125 Round -0.527136708 to 5 decimal places. -0.52714 What is 12060.27673 rounded to the nearest one thousand? 12000 What is 0.410435186 rounded to four decimal places? 0.4104 What is -1620.70043 rounded to 1 decimal place? -1620.7 What is -0.01312738237 rounded to six dps? -0.013127 Round -15832367910 to the nearest one million. -15832000000 Round 0.00042244772 to 5 dps. 0.00042 Round 4057.214804 to the nearest one thousand. 4000 What is -
{ "pile_set_name": "DM Mathematics" }
374/5. Which is the third smallest value? (a) w (b) 3 (c) g a Suppose 5 = -2*w + 5*y, w - y - 17 = -3*w. Let p = 2 - 1.3. Let u = 0.3 + p. Which is the biggest value? (a) 2/13 (b) u (c) w c Let t = -19979/6120 + -97/136. Let d = t - -37/9. What is the second smallest value in d, 1, -0.3? d Suppose 0 = -5*k + 7*k. Which is the second biggest value? (a) -2 (b) k (c) 4 b Let r be 2/3 - 260/507. What is the biggest value in -4/7, r, 2? 2 Let m = -0.42 - -0.92. Which is the fourth biggest value? (a) m (b) 0.4 (c) -0.4 (d) 0.02 c Let v = -293 - -3807/13. What is the third smallest value in v, -0.4, -1? v Let w = 83 - 83. What is the second smallest value in -1/3, w, -4, 4? -1/3 Let v be 32/(-6) - 3 - -3. Let k = -61/12 - v. What is the second biggest value in -0.1, -1, k? -0.1 Let n = 3.1 + -3. Suppose 2 = 3*a - 2*a. Let k be (1/a)/((-5)/40). What is the biggest value in 2, n, k? 2 Let w = -24959/246 + 340/41. Let t = -93 - w. Which is the third smallest value? (a) 2 (b) 4/3 (c) t a Let a = 5.8 + -10.7. Let v = a + 4. What is the second biggest value in -2/13, 0, v? -2/13 Let x = -2.97 - 0.03. Let p = 2.5 + x. Which is the second smallest value? (a) 1 (b) 1/7 (c) p b Let i(v) = -v**2 + 11*v - 27. Let d be i(8). What is the smallest value in 0.01, d, -3/2? d Let o = 473/115 + -21/5. Let f = -1 - -5. Which is the second smallest value? (a) o (b) f (c) -8 a Let w = 4 + 1. Let n be (1/4)/(2/(-12)). Suppose 85*z - 84*z = 2. What is the smallest value in w, z, n? n Let j = -6 - -8. Let m = -2.049 - -0.049. What is the biggest value in m, 0.3, j? j Let l(p) = -p + 2. Let d = -1 + 0. Let i = d - -2. Let o be l(i). Which is the biggest value? (a) -0.1 (b) o (c) 3 c Let g = -133 - -132.96. Which is the smallest value? (a) 3 (b) 0 (c) 0.4 (d) g d Let i = 0.38 + -0.08. Which is the third smallest value? (a) 2 (b) i (c) -0.2 a Let c = -1.5 + 2. What is the third smallest value in c, -3, -0.2? c Let n be (-2)/5 + (-9)/(-35). Let g = 0.41 - 0.01. Let s = 1.4 - g. What is the smallest value in n, s, 2/15? n Let k be (15/(-10))/(2/(-4)). Let u be (-1)/k + (-14)/3. What is the smallest value in u, 2/15, 0.06? u Let u = -5 - -5.1. Which is the third biggest value? (a) u (b) 2/13 (c) 5 a Let n(r) = r**3 + 4*r**2 - 2*r - 5. Let k be n(-4). What is the biggest value in -1, k, -0.5? k Let b = -16 + 14. What is the second smallest value in -0.1, b, 5, 1/7? -0.1 Suppose f - 5 - 3 = 0. Let m be (-59)/2 + (-4)/f. Let n = m - -181/6. What is the second biggest value in -2/19, 3/7, n? n Let k be -3*(33/15 - 2). What is the biggest value in -0.3, 0, k? 0 Let r = -4.6 - -5.1. Which is the third smallest value? (a) 0 (b) r (c) 5 (d) 0.4 b Let i = -8.1 - -11.1. Suppose 3*r + 62 = -61. Let d = -127/3 - r. What is the second biggest value in i, d, 1? 1 Let w = 19.972 + 0.228. Let n = w + -20. Let y = -0.2 + 0.1. Which is the third biggest value? (a) 0 (b) n (c) y c Let o be 10/(1/((-2)/(-4))). Suppose o*v - 25 = 0, -4 = h - 3*v + 6. Suppose 0 = g - 0*g - 1. Which is the biggest value? (a) h (b) g (c) -2 a Let k be (-4)/6 + 10/6. Suppose k = n + 5, -5*n = -h + 19. Let r be 2*6/15*h. Which is the third smallest value? (a) r (b) 3 (c) 0.5 b Let m(o) = 4*o**3 - o**2 + 1. Let t be m(1). What is the second smallest value in -1/5, -4, t? -1/5 Let i = 14.259 - -0.141. Let p = 14 - i. What is the smallest value in -0.3, p, 0.5? p Suppose -3 + 8 = -5*h. Let w be -4*((-1)/2 - h). Let o = -1/61 + -119/183. What is the second smallest value in -0.1, w, o? o Let y(t) = -t**2 + 17*t + 8. Let v be y(17). Let d = 9 - v. Which is the second biggest value? (a) 2 (b) -1/2 (c) d c Suppose -j + 0*o = -o + 46, -152 = 3*j + 4*o. Let x be ((-1)/(-3))/((-8)/j). Which is the biggest value? (a) -4 (b) -2/15 (c) x c Let t = 0.28 + 0.02. What is the third biggest value in -4, 1/4, t? -4 Let w(n) = -n**3 + n. Let i be w(-2). Let d(r) = r - 2. Let x be d(i). Which is the second biggest value? (a) 5 (b) -3 (c) x c Let m be (-8)/(16/(-3)) + 2 + -4. Let t(r) = 2*r + 1. Let q be t(-1). Which is the biggest value? (a) 4 (b) q (c) m a Suppose 8*h - 1 = 9*h. Which is the third smallest value? (a) h (b) 0.5 (c) 1 c Let x = -1.78 - -2.75. Let d = -0.03 - x. Let p be ((-2)/8)/(27/24). Which is the biggest value? (a) p (b) d (c) 4 c Let v = 78 - 153/2. What is the second biggest value in v, 3, 4? 3 Let s = -4 + 4.12. Let o = -5.12 + s. Let n(u) = -u**2 + 6*u - 4. Let y be n(4). What is the biggest value in o, -1/6, y? y Let d be 1*(0 + 0 + 0). Let h = 1.8 - 1.1. Let p = 0.6 - h. Which is the third smallest value? (a) p (b) 1 (c) d b Let h = 15.1 + -14.9. Let u = 13 + -18. Which is the smallest value? (a) h (b) u (c) -2 b Suppose 15 = -2*h + 3*v + 2, 3*h + 10 = -5*v. What is the biggest value in 2/13, 0.2, h? 0.2 Let i = 0.3 + -0.2. Let s = -0.3 + 0.95. Let p = -0.15 + s. Which is the third biggest value? (a) i (b) p (c) -1/7 c Let d = 3 - 7. Let j = -1.6 + 0.6. Let r = j + d. Which is the second biggest value? (a) -0.1 (b) -0.3 (c) r b Let h = -35 - -104/3. Let r = -0.3 + 1.3. Which is the third biggest value? (a) h (b) r (c) -5 c Let g = 1 - -1. Let s be (g/(-182))/(10/(-185)). Let f = 5/14 - s. Which is the smallest value? (a) -2/3 (b) f (c) 2/7 a Suppose 4*d + 8 = 7*c - 2*c, -8 = c + 4*d. What is the third smallest value in 6/7, c, 1/4? 6/7 Let b = -0.5 - 1.5. What is the third biggest value in 1/4, 0, b? b Let y = -1 + 1.2. Let u = 0.2 + y. Which is the biggest value? (a) 0.5 (b) -0.4 (c) u a Let n = 0.14 + 0.16. Which is the third smallest value? (a) n (b) 2 (c) 5 c Let g = 7 - 6.94. Let r = -0.46 + g. What is the third biggest value in -5, 1.3, r? -5 Let h = 0.04 + 0.16. Let t be 16/154 - (-6)/33. What is the third biggest value in h, t, -5? -5 Let v = 0.2 - -0.2. Suppose -4*i + 48 + 47 = 5*a, 3*a - 65 = -4*i. Suppose 2*x - a = -x. What is the smallest value in x, v, 0.1? 0.1 Let g = 2.5 - 3. Let y = 7 - 3. What is the biggest value in y, 5, g? 5 Let j = 452.8 - 453. Let k = -333/95 - -17/5. Which is the smallest value? (a) j (b) k (c) 4 a Let w = 2 + 18. Suppose 0 = a - 4, -5*a + w = -2*n + n. Let t = n + -1. What is the second smallest value in 0.3, t, -1/8? -1/8 Let w be 1 - 0 - 3/5. Let q = -40 + 678/17. Let n = 41/85 - q. Which is the second biggest value? (a) w (b) n (c) -1 a Let t = -17 + 22. Which is the second smallest value? (a) -0.1 (b) t (c) -2 a Let j = -0.125 - -3.125. What is the biggest value in j, 4/5, -0.65? j Let y = -3 - -9. Let f = 8 - y. Which is the second biggest value? (a) f (b) -3/4 (c) -2 b Let f = 0.3 + -0.4. Let a = -33 + 33.1. Let b = a - f. What is the third smallest value in 5, b, 3? 5 Let r = -0.9 - 0.1. Which is the second smallest value? (a) -4 (b) r (c) 2/7 b Let j = 0.7 - -4.3. Let k = j + -10. Which is the third smallest value? (a) -0.1 (b) 1 (c) k b Let s = 25861168/357763 - 2/51109. Let k = s - 72. Let i be (4/(-25) - 0)*(-40)/16. Which is the second smallest value? (a) k (b) i (c) 1 b Let q be (1/4*-2)/3. What is the biggest value in q, -0.6, -1/2, -1/3? q Let f be (-2)/3 - 4/(-12). Suppose 6*s = s + 125. Suppose r - s = -4*r. What is the third smallest value in -2/3, r, f? r Let q(w) = w**3 - 7*w**2 + w - 9. Let j be q(7). Let k be j*(-2 + 10/6). Which is the second smallest value? (a) -4/9 (b) 2/9 (c) k b Let m = 2 + -7. Let j = m + 5.4. Which is the second biggest value? (a) 0.7 (b) j (c) -3 b Let s = -0.22 - -0.24. Let q be ((-10)/20)/(14/8). What is the second biggest value in q, s, 0.1? s Let n = 1223/7 + -175. Let g be (-72)/(-33) - (-6)/(-33). Let c be 3/45 - g/5. What is the second smallest value in c, -5, n? c Let t = -18.1 + 18. Which is the second biggest value? (a) -0.4 (b) 2/3 (c) t (d) -0.02 d Let q = -20 - -20.3. Let v = 5 - 0. Let f = 3 - v. What is the smallest value in -3, f, q? -3 Suppose 0 = 3*x - 0*x + 6. Let z = 0.47 + 0.03. What is the second smallest value in z, -0.2, x? -0.2 Let r = -6 + 9. Which is the biggest value? (a) 0.5 (b) 0 (c) r c Let d be 18/28*2/3. Let x = -18 + 18. Which is the smallest value? (a) x (b) d (c) 2 a Let v = -354/7 - -51. What is the fourth biggest value in v, 2/3, 3/5, -5/6? -5/6 Let x = 14.8 + -15.
{ "pile_set_name": "DM Mathematics" }
+ j**2 - 3*j**2 wrt j? -18 Let v(q) = -5*q**4 - 38*q + 330. Let l(x) = -6*x**4 - 39*x + 331. Let r(d) = 7*l(d) - 8*v(d). What is the derivative of r(s) wrt s? -8*s**3 + 31 Let r(d) = 95*d**2 - 12*d + 34. Let a(t) = 190*t**2 - 27*t + 68. Let j(c) = 4*a(c) - 9*r(c). Differentiate j(l) with respect to l. -190*l Differentiate -76*g + 23 - 36*g + 2*g**2 - 45*g + 3*g with respect to g. 4*g - 154 Let p(h) be the second derivative of 3*h**5/10 - 3*h**4/4 - 46*h**2 - 130*h. What is the derivative of p(j) wrt j? 18*j**2 - 18*j Let z(t) be the third derivative of -653*t**9/504 - 50*t**5/3 - 85*t**2 - 2*t. What is the third derivative of z(m) wrt m? -78360*m**3 Let f(q) be the third derivative of -607*q**4/24 - 278*q**3/3 - 846*q**2. What is the derivative of f(m) wrt m? -607 Let s(r) be the first derivative of 19*r**5/20 + r**2/2 - 6*r + 18. Let v(c) be the first derivative of s(c). Differentiate v(d) with respect to d. 57*d**2 Let p(i) = -i**3 - 2. Let y(j) = 59*j**4 - 4*j**3 + 23. Let v(h) = -4*p(h) + y(h). Differentiate v(m) with respect to m. 236*m**3 Let w(q) be the first derivative of 0*q**5 + 0*q**4 - 7/2*q**2 + 0*q**3 + 0*q + 1/2*q**6 + 12. What is the second derivative of w(n) wrt n? 60*n**3 Let s(b) be the first derivative of -b**8/168 + b**5/15 + 4*b**3 - 17. Let y(i) be the third derivative of s(i). What is the second derivative of y(w) wrt w? -120*w**2 Let b(j) be the second derivative of 513*j**5/20 - j**4/12 - 549*j**2/2 - 5*j + 36. What is the third derivative of b(t) wrt t? 3078 Suppose -5*g - 4*x = -23, 8*g - 11*g - 5*x + 19 = 0. What is the first derivative of 11 + 20*k**3 + 10 + 17*k**3 - 8*k**g wrt k? 87*k**2 Let f(n) be the first derivative of -280*n**3 - n**2 + 408*n + 719. Differentiate f(l) with respect to l. -1680*l - 2 Suppose -13*h = -14*h + 6. What is the first derivative of -29 - 43*w**3 + h*w + 0 - 6*w wrt w? -129*w**2 Let t = -8 + 10. Suppose 5*j - 8 = -o, -t*j + 3*o - 5*o = 0. What is the second derivative of -5*l**2 - l - 2*l**j + 3*l**2 wrt l? -8 What is the second derivative of f**4 + 22*f**3 + 36*f - 13*f - 5*f**4 + 2*f**4 wrt f? -24*f**2 + 132*f Let n = 34 - 24. Differentiate n + 27*j**2 - 5*j**3 - 27*j**2 with respect to j. -15*j**2 Let h(t) = 3*t**4 + 2*t**3 - 60*t**2 + 2*t. Let q(i) = 13*i**4 + 7*i**3 - 241*i**2 + 9*i. Let o(x) = -18*h(x) + 4*q(x). Find the third derivative of o(j) wrt j. -48*j - 48 Let r(y) be the second derivative of -11*y**8/56 - y**5/5 + 275*y**4/12 + y - 176. Find the third derivative of r(t) wrt t. -1320*t**3 - 24 Suppose 0 = 2*q - 5 - 1. Suppose 0*p = q*p - 9. Find the third derivative of -2*w**3 + 4*w**2 + 3*w**3 - 3*w**p - 2*w**2 wrt w. -12 Let n(o) be the first derivative of 1/3*o**6 + 0*o**3 + 0*o + 0*o**4 + 0*o**5 + 12 + 5*o**2. Find the second derivative of n(g) wrt g. 40*g**3 What is the third derivative of 25*n**4 + 3*n**2 + 24 - n**2 - 13*n**4 - 14*n**4 - 158*n**5 wrt n? -9480*n**2 - 48*n Let s(l) be the first derivative of -94*l**7/7 - 2*l**3/3 - 9*l**2/2 + 32. Find the third derivative of s(m) wrt m. -11280*m**3 Suppose q + 33 = 4*q. Let b(d) = -3 + 2 - q - 3. Let y(m) = m**3 + 1. Let l(t) = b(t) + 6*y(t). What is the first derivative of l(h) wrt h? 18*h**2 Suppose 2*u - 5*s = -4, 2*u - s = -u + 7. Let c be 2 - -5 - (4 + -2). What is the second derivative of -3*b + b - u*b + b**c + b wrt b? 20*b**3 Suppose -1 - 3 = -4*z. Suppose 11 - z = 2*n. What is the second derivative of -8*x**4 + x**n + 18*x**4 - 10*x**4 + x wrt x? 20*x**3 Let g = 636 + -351. What is the second derivative of g - 285 + 7*c**2 - 14*c wrt c? 14 What is the third derivative of -95*h**4 + 645 - 645 + 41*h**2 wrt h? -2280*h Let t = 87 + -84. What is the derivative of 40 - s**2 + 4*s + 0*s + 3*s - t*s wrt s? -2*s + 4 Let q(n) be the third derivative of -n**9/252 + n**6/40 - n**5/60 + 5*n**3/6 - 12*n**2 + 2*n. What is the third derivative of q(b) wrt b? -240*b**3 + 18 Let c(o) = o. Let q(a) = 9*a + 2. Let b(g) = -g**2 - 3*g + 4. Let x be b(-6). Let y = x + 9. Let l(m) = y*c(m) + q(m). What is the derivative of l(w) wrt w? 4 Suppose -95*y + 24 = -89*y. Let p(j) be the second derivative of j - 3/2*j**3 + 0*j**2 + 3/4*j**y + 0. Find the second derivative of p(o) wrt o. 18 Let x = -9 - -13. Let k be (22/(-99))/(1/(-27)). Find the second derivative of -29 - k*u + 4*u**x + 29 - 3*u wrt u. 48*u**2 Let j(u) be the second derivative of 0*u**2 + 0 + 25/3*u**3 + 13*u + 19/12*u**4. Find the second derivative of j(r) wrt r. 38 Suppose -2*l - 5 = -3*l. Suppose -l*q + 2 = -18. Find the third derivative of -3*a**2 - 30 + 30 - 5*a**q wrt a. -120*a What is the second derivative of -139*s**4 + 273*s - 7*s**4 - 106*s wrt s? -1752*s**2 Let p(z) be the second derivative of -23/2*z**2 + 0 - 6*z + 13/20*z**5 + 0*z**4 + 0*z**3. What is the derivative of p(c) wrt c? 39*c**2 Let n be (27/(-18))/((-6)/16). What is the second derivative of m + 11*m**4 + 10*m**4 - 15*m**n wrt m? 72*m**2 Suppose -2 = -6*t + 4*t. Suppose -3 - t = -2*q. What is the first derivative of 1 - 6*z**q - 5 + 3 + 14*z**2 wrt z? 16*z Let t(d) be the first derivative of -9*d**7/7 - d**4 + 7*d**3/3 - 8*d + 23. What is the third derivative of t(a) wrt a? -1080*a**3 - 24 Let q be (-2)/(5 + -1)*-62*1. Differentiate 15*h**2 - 15*h**2 - 45 + q*h**3 + 11 with respect to h. 93*h**2 Let v = 14 + -12. Suppose 329 = 2*g + 5*a, v*a - 11 = -1. What is the third derivative of -152 - 7*m**2 + g - 2*m**3 wrt m? -12 What is the second derivative of 146*q**5 + 251 - 510 + 200*q + 257 wrt q? 2920*q**3 Let b be ((-18)/4 + 2)/(3/(-6)). Let m = -13 - -24. What is the third derivative of b*x**5 + m*x**2 - 30*x**2 + 18*x**2 wrt x? 300*x**2 Let f(k) be the first derivative of -17*k**8/1680 + k**4/3 + 2*k**3/3 - 13. Let h(x) be the third derivative of f(x). Find the first derivative of h(c) wrt c. -68*c**3 Let i(b) = 25*b - 6. Let r(y) = 18*y - 4*y + 4*y - 6 + 8*y. Let k(v) = 3*i(v) - 2*r(v). What is the first derivative of k(w) wrt w? 23 Let j(k) = -3*k - 14. Let c be j(-7). What is the third derivative of -17*g**2 + 0*g**4 + c*g**2 - 6*g**4 wrt g? -144*g Let f = -23/32 - -467/160. Let q(n) be the first derivative of 0*n**3 - 9*n + 0*n**2 + 0*n**4 + 3 - f*n**5. Find the first derivative of q(d) wrt d. -44*d**3 Let g = 35 + -33. Suppose -2*v + 2*d + g = 0, -v - 3*d + 1 + 4 = 0. Differentiate 13*k**v + 5 + 1 - 4*k**2 with respect to k. 18*k Let k(o) be the second derivative of 13*o**4/6 + o**3/3 + 31*o**2/2 + 42*o + 3. Find the second derivative of k(x) wrt x. 52 Let n(r) be the second derivative of 7*r**6/60 + 2*r**3/3 - 5*r**2/2 + 13*r. Let h(c) be the first derivative of n(c). Find the first derivative of h(j) wrt j. 42*j**2 Let a = -1251 - -7507/6. Let o(v) be the second derivative of 5/3*v**3 + a*v**6 + 0*v**5 + v + 0*v**2 + 0 + 0*v**4. Find the second derivative of o(i) wrt i. 60*i**2 Let v be 2/1*68/170. Let o(c) be the first derivative of -v*c**5 - c**2 + 0*c + 0*c**3 + 0*c**4 + 3. Find the second derivative of o(d) wrt d. -48*d**2 Find the third derivative of 14*g**5 - 10*g + 2*g**2 - 94*g**2 + 8*g - 10*g**5 - 13*g**3 wrt g. 240*g**2 - 78 Suppose -12 = -16*u + 10*u. Differentiate -42*t**u + 42*t**2 + 15*t**4 + 19 with respect to t. 60*t**3 Let q = -27 - -28. Let i(x) = 13*x. Let f be i(q). Find the first derivative of -33*l + 24*l + f*l + 7 wrt l. 4 Let r(i) be the first derivative of 265*i**4/4 - 13*i**2 - i - 842. Find the second derivative of r(u) wrt u. 1590*u Let d(j) = 123*j**3 - 2*j**2 - 4*j - 189. Let v(r) = -616*r**3 + 11*r**2 + 22*r + 946. Let x(b) = -11*d(b) - 2*v(b). Find the first derivative of x(m) wrt m. -363*m**2 Let q(w) be the first derivative of 99*w**7/7 + w**6/3 - 3*w**3 - 29*w + 313. What is the third derivative of q(d) wrt d? 11880*d**3 + 120*d**2 Let l(q) be the first derivative of 0*q + 17/2*q**2 + 5 - 5*q**3. Find the second derivative of l(t) wrt t. -30 Let y(v) = -271*v**3 + v**2 - 3*v + 473. Let n(r) = 2*r**3 - r**2 + 3*r - 1. Let g(a) = -n(a) - y(a). Find the first derivative of g(t) wrt t. 807*t**2 Find the second derivative of 4*g**3 - 11*g + 217*g**2 + 97*g - 208*g**2 wrt g. 24*g + 18 Let b(k) be the third derivative of -16*k**2 + 0*k**4 + 0 - 7/6*k**3 - 4/15*k**5 + 0*k. What is the derivative of b(t) wrt t? -32*t Let n be -1 - -1 - -2 - (-44 - -9). Diff
{ "pile_set_name": "DM Mathematics" }
-46 - -44. Which is greater: z or w? z Let a(x) = 1 - 2*x**3 - 2*x - 3*x**2 + x**3 + 0. Let p(c) = -c**3 - 5*c**2 - 4*c - 2. Let k be p(-4). Let l be a(k). Which is greater: l or 2? 2 Let y(j) = -j**3 + j + 1. Let o be y(0). Let b = -1 - o. Suppose 2*v = 3*v + 1. Which is smaller: v or b? b Suppose 22 = 3*u + p, -p = -u + p - 2. Which is greater: u or 9? 9 Let p(l) = -2*l + 14. Let z(q) = 2*q - 13. Let f(i) = 4*p(i) + 5*z(i). Let r be f(4). Which is bigger: -2/19 or r? -2/19 Let n = -9 - -19. Let l be n/6 - (2 - 0). Which is smaller: -1/4 or l? l Let s = -0.1 + 0.15. Let b = -8.95 - s. Is b at least 0? False Suppose -5*w = -5 - 5. Suppose 0 = -3*t - 6, 0 = -w*n - 5*t - 7 + 3. Suppose n*x - 5 = -2*x. Which is bigger: x or 2? 2 Let m be (21/(-6))/((-4)/(-32)). Let j(r) = r + 1. Let y be j(-4). Let a be m/15 - (y - -1). Which is greater: a or 1? 1 Let n(m) = -2*m**2 + 18*m + 5. Let h be n(9). Which is smaller: 4 or h? 4 Let f(u) = -2*u**2 + 3*u - 1. Let n be f(3). Let b(a) = -2*a - 5. Let w be b(n). Let s be w/(-25)*(-8)/(-6). Which is bigger: s or -2? s Let r be (-8)/2 + (-34)/(-8). Which is smaller: 40 or r? r Let l = 12 - 3. Let h = l + -9.9. Let f = 0.9 + h. Is -0.1 < f? True Let k = -2.1 - -2. Let s = -4.2 + -12.8. Which is smaller: s or k? s Let s = 0.07 - 0.14. Let x = -0.07 - s. Let h = 0 + 0.2. Is x at most as big as h? True Let c(b) = -7*b. Let o be c(1). Let h = 2 + o. Which is smaller: -4 or h? h Let j = -6 - 0. Suppose -z = -2*z. Which is bigger: z or j? z Let w = -13 + 23. Suppose 0 = 4*u - 5 - 3. Suppose f + w = 4*g, 4*f - 11 = -u*g + 3. Is 2 smaller than f? False Let s = -0.95 + -0.05. Let d = 1.1 + s. Let p = -0.08 + -2.92. Which is smaller: d or p? p Suppose 5*g = -4*h - 60, -h = 8*g - 3*g + 60. Is g less than -12? False Suppose -12*c = 94 + 38. Let h(u) = u + 2. Let n be h(-4). Is n greater than or equal to c? True Suppose -5*s - 4*l + 9 + 36 = 0, -s - 5*l = -30. Suppose s*z + 3 = 2*z. Let p = 0.07 - -0.23. Is p at least z? True Let x = 1 - -9. Let h(q) = -20*q. Let f be h(-1). Suppose 4 + f = 2*m - 5*r, -5*r = 5*m + x. Is m at most 2? True Let k(d) = -4*d. Suppose -22 = 5*i - 5*b + 3, 0 = 3*i + 2*b + 15. Let n(x) = 2*x. Let t(f) = i*n(f) - 3*k(f). Let q be t(-1). Do q and 0 have the same value? False Let g = -1 + 1.1. Let a be (1 + -1)*(-1)/(-2). Are g and a equal? False Let b be (((-27)/14)/(-9))/(-3). Which is smaller: b or 0? b Suppose 0 = -3*j - 3 - 0. Let l = 1 + j. Let a = 846.4 - 846. Which is smaller: a or l? l Suppose 2 + 13 = 3*h. Suppose 4*y + 8 = h*a - 6, 5*y - 2*a = -9. Is y less than or equal to -3/5? True Let p = 3 + -2.8. Let x = -4 - -9/2. Do x and p have the same value? False Suppose 4*v = -4*m - 24, 5*v + 6 = 5*m - 14. Which is bigger: -1 or v? -1 Let b = -7.13 - -0.13. Let q = b - -11. Let i = 4 - q. Is 6 < i? False Let s(h) = -h + 2. Let l = 0 + 0. Suppose l = -0*g + 2*g + 10. Let o be s(g). Is 6 equal to o? False Let o = 9.04 + -0.04. Let p = -6 + o. Which is bigger: p or 0.1? p Let w be (3/(-1))/((-2)/(-138)). Let v = w + 1039/5. Which is smaller: 1 or v? v Let b = -67/33 - -15/11. Is 0.15 less than b? False Let u = 0.1 - 0.1. Let d = u - -0.2. Let l = 0.8 + d. Which is bigger: l or -1/6? l Let x be (19 + -13)/((-3)/(-4)). Are 9 and x unequal? True Let f(o) = 13*o**3 - o - 1. Let g be f(-1). Suppose 42*u = 39*u - 36. Is g at most u? True Let r(d) = -d - 4. Let j be r(-4). Let z be -1*(1 - 1 - j). Is -3/7 at most z? True Suppose 29*v + 570 = 19*v. Which is smaller: 1 or v? v Let y = 2 - 16. Which is smaller: -13 or y? y Suppose 150 = 6*d + 30. Which is smaller: d or 19? 19 Suppose t = -3*t + 12. Let r be (t - -3) + -1 + -1. Let j be ((-7)/(-3) + -2)*r. Is j <= 1? False Let l = 2912 - 20332/7. Which is bigger: l or 6? l Let m be -1*(1 + (-9)/(-15)). Is -2 < m? True Let u = -239.4 - -212. Let o = u + 30. Let r = o - 0.6. Which is smaller: 2/7 or r? 2/7 Let g = 27.7 + -28. Which is smaller: g or -12? -12 Suppose 5*h = 2*k + 18, -3*h - 5*k - 12 = h. Let b(i) = 6*i**h - 3*i + 4*i**3 + 2*i + 8*i - 5*i**3. Let n be b(7). Which is bigger: n or 3/8? 3/8 Suppose 4*b + 126 = -5*b. Is b greater than -17? True Let a be -2 + ((-28)/4 - -1). Let i be (-4)/8*a/(-6). Is i at least as big as -4? True Suppose 3 = -3*h - 6. Let x = -20 - h. Is -18 greater than or equal to x? False Let g = -15 + 14. Which is bigger: 2/35 or g? 2/35 Let p be (-9)/6 - (-2)/4. Suppose 2*l = 5*l - 6. Let z = l + p. Is 0 not equal to z? True Suppose 1 = -3*i + 7. Which is smaller: i or 2/3? 2/3 Let s = 3126/11 + -284. Let c be (-1)/2 + 6/4. Is c at most as big as s? False Let g = 47.3 + -50. Let d = 8 + -5. Let i = g + d. Is -1/2 < i? True Let w = -5 + 6.4. Let f = 1.4 - w. Is -1/2 > f? False Suppose -2*h - 4*z + 56 = 0, 0*h + 2*h + z - 56 = 0. Are h and 29 unequal? True Suppose 23 = 2*w - 3*r, r = -5*w + 3*r + 30. Does 4 = w? True Let t(p) = p**2 + p. Let h be t(-1). Let y = -1465/336 + 3/112. Let q = 5 + y. Which is greater: q or h? q Let v(u) = 3*u - 7. Let h be v(8). Which is greater: h or 16? h Let q = -234 + 1174/5. Let j = -6 + 8. Suppose -j*w = 2*b - 0*b + 8, 0 = w - 5*b - 26. Is q equal to w? False Let m = -2437/6 + 406. Let s = -0.2 + 1.2. Is m at least s? False Let r be 6*(-1)/(2 + -3). Suppose 3*j = -j + 16. Suppose -j*c = -c + r. Do c and -2 have the same value? True Let g be (-1)/(9/6 + -1). Let k be (g - 0)/2 + -2. Let i = 1/68 - 103/68. Is k equal to i? False Suppose 0 = -0*t - 5*t. Suppose -2*n - 1 = 2*g + 7, t = 2*n + g + 4. Is n greater than 3? False Let y(n) = n**3 + 12*n**2 - 14*n - 19. Let b be y(-13). Which is bigger: 2/17 or b? 2/17 Let y = 38 - 38.7. Is y != -1? True Let o be (-1 + 0)*(-2)/(-2). Let p = 3 + o. Let l be p/(-3) - (-8)/12. Which is smaller: 2/3 or l? l Let l = 19.45 + -0.45. Let g = l - 20.8. Let t = 2.5 + g. Which is bigger: t or 1? 1 Let r(m) = -10*m**3 - 2*m**2 + m. Let u be r(1). Which is smaller: -3 or u? u Suppose 10*o = 817 - 267. Which is smaller: 56 or o? o Let x = 18.08 - 19. Let q = x + -0.08. Which is smaller: 1 or q? q Let w = 57.2 - 57. Is w bigger than 0.2? False Let y be (-24)/(-10)*(-120)/(-9). Let d be (1/2)/((-216)/y). Is d at least as big as -0.2? True Let m = 4/37 + -752/111. Is -6 bigger than m? True Let r(z) = z**2 + 6*z + 1. Let f be r(-5). Let t be (1 + f/(-2))/(-5). Suppose -p + 4*p = 0. Which is bigger: t or p? p Let y = 0.5 - 0.3. Let o = 145 - 146. Is o smaller than y? True Suppose 12*l = 10*l - 2. Is l bigger than -5/4? True Let o be (5 - 2 - 1)*3. Let m(b) = -o*b + 3 - 7*b**2 + 0*b**3 - 7 - b**3. Let y be m(-6). Which is bigger: y or -2? -2 Let h = 432 + -3911/9. Let f = 20/9 + h. Is 0.4 at least f? True Let n = 475/4 + -120. Do -1 and n have different values? True Let u be 1 + (54/(-26) - -1). Let y = u - -44/65. Is y smaller than 1? True Let o be -21 + 4/(-8)*-2. Let g be (-50)/o*(-8)/(-190). Which is greater: 1 or g? 1 Let y = -64 + 61. Are -1 and y unequal? True Let u = 5 + 4. Suppose 2 = 2*z - 2*h - 4, z + u = -3*h. Is z < 6/13? True Let j = 83 + -84. Is j at least as big as 12? False Suppose 2*l = -3*k + 8 + 7, 3*k + 5*l - 24 = 0. Let f = k - 2. Is f >= 2/9? True Let l(p) = 3*p**3 + 7*p**2 + p + 6. Let j(t) = -10*t**3 - 22*t**2 - 3*t - 18. Let c(v) = -2*j(v) - 7*l(v). Let m be c(-5). Which is bigger: m or -15/7? m Let j be 9/15 + 33/(-5). Which is bigger: -5 or j? -5 Suppose 2*f + 15 = -3. Let x be f/(-21)*(-8)/12. Let l = 9 + -4. Is l <= x? False Let h be ((-76)/44)/(0 + 1). Let s be ((-4)/(-20))/(11/(-62)). Let q = h - s. Are 3/5 and q unequal? True Let t(x) = x**2 + 8*x - 5. Suppose -16 = 2*a + 2. Let k be t(a). Which is smaller: k or 5? k Let c = 5 + -5.7. Is c bigger than -0.1? False Let p = 635/284 + 1/71. Is -0.1 less than p? True Let f be 0 + (0/(-3) - -3). Let c(p) = -p. Let t be c(f). Let k = t - -3. Which is greater: -1/7 or k? k Let d = 12 + -19. Let s(t) be the second derivative of t**3/6 + 3*t**2 + t. Let r be s(d). Is 0 < r? False Let i be (10/2)/(2/4). Suppose -4*l - 2*w - i = 0, 5*l = -4*w - 15 - 2. Is -2/39 smaller than l? False Let j = -46 - -181/4. Let h(v) = 3*v + v**3 - 2*v - 2*v - 5*v**2 + 4. Let t be h(5). Which is bigger: t or j? j Let r = 0.2 + -0.22. Let v be -6*(-8 + 7)*(-1)/(-6). Is v greater than or equal to r? True Suppose 0 = 6*u - 12*
{ "pile_set_name": "DM Mathematics" }
14 + 37*sqrt(3) Simplify (-2 + (4*(sqrt(175) + -1) - sqrt(175)) + 0 + (-3 + sqrt(175) + 2 + -5)*6)**2. -3780*sqrt(7) + 15939 Simplify (4 + 4*-5*(sqrt(80) + -1 - sqrt(80)) + 6*(0 + sqrt(80) - sqrt(80))*-3)**2*4. 2304 Simplify 3*(-1*((sqrt(52)/sqrt(64) + sqrt(13))*-4)**2 + (sqrt(468) + 1 + -2)*-6). -957 - 108*sqrt(13) Simplify (2 + 0 + sqrt(108) + 5 + (sqrt(108) - (sqrt(108) - (-3 + sqrt(108)))*-5) + -3)*3. 57 + 36*sqrt(3) Simplify (((sqrt(180) - -2*sqrt(180))*-6)/sqrt(3))/(sqrt(432)*-2*-3)*3. -3*sqrt(5)/2 Simplify (-1*(sqrt(14) + sqrt(1400) + sqrt(14) - sqrt(14))*-4)/(1*-3*sqrt(7)*-2). 22*sqrt(2)/3 Simplify -6*((sqrt(68)/sqrt(8) + sqrt(136)/(sqrt(12)/sqrt(3)))*-4)/(sqrt(162)*4 + sqrt(98)*1). 36*sqrt(17)/43 Simplify (1*((sqrt(119) - ((-2*sqrt(119) - sqrt(119)) + sqrt(119))) + sqrt(119))*-6*5)/(-4*(sqrt(112) - (sqrt(112) + -3*-2*sqrt(112)))). -5*sqrt(17)/4 Simplify (-3*(-6*sqrt(84))/sqrt(7))/(sqrt(144) + -2*sqrt(144) - sqrt(64)*-5). 9*sqrt(3)/7 Simplify (1*(sqrt(1029)*4*-1 + sqrt(1029)))/(sqrt(300) + -1*sqrt(300) + sqrt(3) + sqrt(363)*6). -21*sqrt(7)/67 Simplify (5*((-1*sqrt(176)*4 - (1 + sqrt(176) + 3)) + (4*sqrt(176)*-3 - sqrt(176))*-5))**2. -48000*sqrt(11) + 15840400 Simplify (sqrt(12) + sqrt(300))/sqrt(6) + sqrt(162)*-1 - (sqrt(4) - (sqrt(144)/sqrt(4))/sqrt(9))/(sqrt(6)/sqrt(3)*-5). -3*sqrt(2) Simplify (1*3*(-4*sqrt(171) + 3 + sqrt(171) + -2 + sqrt(171)*-1 + sqrt(171)))**2 + -5. -162*sqrt(19) + 13855 Simplify (-2 + 1 + 3 + (sqrt(1331) + 1)**2 + 4 + -2 + -2)*-3. -4002 - 66*sqrt(11) Simplify (6*4*(6*sqrt(13)*2 + sqrt(13) + (sqrt(13) - (sqrt(13) + 2 + sqrt(13) + 1))))**2 + ((3*sqrt(1573)*1)**2 - (4*-1*sqrt(1573) - sqrt(1573))). -41417*sqrt(13) + 1097613 Simplify (sqrt(2548)*-5 + sqrt(7488) + -3*sqrt(7488))/((sqrt(112)/(-2*sqrt(7) - sqrt(7)))/(sqrt(900)/sqrt(9))). 885*sqrt(13) Simplify -6*2*5*(-3 + ((-1 + sqrt(153))**2 + sqrt(153) - sqrt(153) - sqrt(153)))*-5. -2700*sqrt(17) + 45300 Simplify sqrt(153)/sqrt(729) - -2*(sqrt(17) - sqrt(1088)) - -5*(sqrt(68))**2*4*-5. -6800 - 125*sqrt(17)/9 Simplify sqrt(55)/sqrt(20)*-2 + ((sqrt(22)/sqrt(2) + 5)**2 - sqrt(99)*6) + (sqrt(88)/(sqrt(8)*2) - (sqrt(11) - -2*sqrt(11)*3))*-6*-3. -126*sqrt(11) + 36 Simplify (-3 + (1 + sqrt(200) + 3)*-5*-1 + -4 + -2)**2 + -4. 1100*sqrt(2) + 5117 Simplify 0 + (5*1*sqrt(76)*3)/(sqrt(576) - -1*sqrt(576)*-5). -5*sqrt(19)/16 Simplify (-2 + sqrt(60)/(sqrt(432) - sqrt(12)) + sqrt(55)/((sqrt(275) - sqrt(275)*1) + sqrt(11)) + 3)**2. 12*sqrt(5)/5 + 41/5 Simplify ((-4 + (sqrt(832)*-1)**2)*-6 + (((sqrt(13) - (sqrt(52) - sqrt(13))) + 1)**2 - sqrt(13)) + sqrt(65)/sqrt(5) + -1)*2 + 3. -9933 Simplify (-2*-6*sqrt(28) - ((sqrt(70) + sqrt(70)*1)/sqrt(10))**2*5)*3 + 3. -417 + 72*sqrt(7) Simplify ((1*-3*(-6*(sqrt(128) + -1 + sqrt(128)) + 5))**2 + -3)*4. -76032*sqrt(2) + 667896 Simplify (sqrt(140) + (2*sqrt(140) - sqrt(140)) + sqrt(140))/(3*sqrt(343)) - (0 + sqrt(1280) + 2 + (-5 + sqrt(1280)*1)**2). -1307 + 1010*sqrt(5)/7 Simplify (1*-6*(sqrt(1100) + -2))**2 - (-3 + -4*sqrt(1100) + 4). -1400*sqrt(11) + 39743 Simplify (((-1*sqrt(250) - sqrt(250) - sqrt(250)) + -3*((sqrt(10) + 1*sqrt(10) - sqrt(10)) + sqrt(10)))/(sqrt(2)*-1*2 + (sqrt(88)/sqrt(4))/sqrt(11)))**2. 2205 Simplify 2*(((sqrt(52)*-2)/sqrt(4) - sqrt(13)) + sqrt(13))**2*6 + 5*4*-1*sqrt(832). -160*sqrt(13) + 624 Simplify 6*-6*((sqrt(605) - (-1*sqrt(605) - sqrt(605)))**2*-4 + 1)*-2. -1568088 Simplify (-3*(sqrt(833) + sqrt(833)*1*6 + (sqrt(833) + 0)*-4 + -1 + 5))**2. 1512*sqrt(17) + 67617 Simplify -3 + -5*(((sqrt(468) + 1 + sqrt(468))*4*-5 - (-5 + sqrt(468) + 3 + (sqrt(468) + 1 + sqrt(468) - sqrt(468) - sqrt(468) - sqrt(468))))*-5)**2. -93645128 - 1140000*sqrt(13) Simplify (sqrt(8) + sqrt(392) + -3*sqrt(392))/(sqrt(28)/sqrt(175)) - ((sqrt(128))**2 - (sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(4)/sqrt(2))**2)*3))*2*-2. -81*sqrt(2) + 512 Simplify -2 + (1 + 4 + -1*(2*(sqrt(343) + 0) + sqrt(343)*-1*-2)**2)*-1. 5481 Simplify 3 + (sqrt(1215) + (sqrt(1215)*-2*-1 - sqrt(1215)))/((2*sqrt(45))/sqrt(9) - 1*sqrt(80)). -9*sqrt(3) + 3 Simplify 1*(-5*1*(3 + -4*(sqrt(684) + 0))*4)**2. -57600*sqrt(19) + 4381200 Simplify -2 + 3 + (sqrt(272) - (sqrt(272)*1)**2) - ((-1 + sqrt(17) + sqrt(17)*2 + sqrt(17) + 2)*-5)**2. -7096 - 196*sqrt(17) Simplify (sqrt(605) - (3 + sqrt(605)))*2 + sqrt(605) + sqrt(605) + sqrt(605) - (-1 + (sqrt(605)*4)**2) - -3*(-6*(sqrt(605)*-3*6 - sqrt(605)))**2. 33*sqrt(5) + 23578055 Simplify (5 + (2 + sqrt(832)*-2)**2)*4 - (3 + -3 + sqrt(637) + sqrt(13) + (-2 + sqrt(1300))**2). -224*sqrt(13) + 12044 Simplify 4*((sqrt(1573) - (sqrt(1573) + 0)*-4) + (sqrt(1573) - sqrt(1573)*2)*6 + sqrt(1573))**2 + -2 + 1. -1 Simplify (-3 + sqrt(65)/sqrt(5)*1)**2 + -3 - (sqrt(468) - sqrt(468)*-1)*4*1. -54*sqrt(13) + 19 Simplify (sqrt(308)*1*6*-4*2)/(5*sqrt(396)*-1*-4). -4*sqrt(7)/5 Simplify ((-6*(sqrt(250) + 2*sqrt(250)) - (sqrt(250) + 6*((sqrt(250)*-2 - sqrt(250)) + sqrt(250))))/(-5*3*sqrt(15)/sqrt(3)) + -5)**2. -70*sqrt(2)/3 + 323/9 Simplify (sqrt(10)/sqrt(320) - -4*sqrt(32) - ((sqrt(16) - sqrt(32)/sqrt(2))/sqrt(2))/(sqrt(576)*2 - sqrt(576)))**2. 16641/32 Simplify 1*(6*(sqrt(242) + -2) + -1 + sqrt(242) + 0 + -5*((sqrt(242)*-2 - sqrt(242)) + 3))**2. -13552*sqrt(2) + 117912 Simplify ((sqrt(119) - (sqrt(119) + sqrt(119)*-2*2))/(sqrt(112)*-6) + -5 + -4)*-3 + 1. sqrt(17)/2 + 28 Simplify (-6*(sqrt(294)*-1 - sqrt(294)))/((sqrt(2) + sqrt(1250))*3) + 2. 14*sqrt(3)/13 + 2 Simplify ((sqrt(119)*2*-4 - (sqrt(119) - (sqrt(119) + (-2*sqrt(119)*-1 - sqrt(119)))))*6)/((sqrt(630) + -1*sqrt(630))/sqrt(10) - -1*sqrt(189)/sqrt(3)). -14*sqrt(17) Simplify ((1 + 4 + 1*sqrt(539) + sqrt(539))*4 + 4*(sqrt(1100) - sqrt(11))*3 + -2)**2. 5904*sqrt(11) + 296180 Simplify (-2*(-1*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - ((1*2*sqrt(190) - sqrt(190)) + sqrt(190)))/((sqrt(90)*-1*1)/((sqrt(72)/sqrt(4))/sqrt(2))). -5*sqrt(19) Simplify (((sqrt(684) + 1)*4 + -2*sqrt(684)*-1 + -5)**2 + 5 + (sqrt(684)*-1*-2 + sqrt(684) - sqrt(684)) + (4*sqrt(684)*1)**2)*-4. -142296 + 240*sqrt(19) Simplify ((sqrt(90)/(sqrt(6) - sqrt(216)) - (sqrt(105)*2)/sqrt(7))/(-5*(sqrt(720) + sqrt(720)*-2*-1 - sqrt(720))))**2. 121/120000 Simplify (sqrt(16)/(4*sqrt(16)/sqrt(2)) + -3 + (sqrt(200) + 0 - (-5*-3*sqrt(2) + sqrt(2)))**2)*-4. -276 - sqrt(2) Simplify 4*((sqrt(1539) + -5*(sqrt(1539) + sqrt(1539)*2) + -4 + sqrt(1539)*1)*6)**2. 134784*sqrt(19) + 37455408 Simplify -6*(2 + -2 + 0 + 2 + (2*sqrt(304))**2 + -1). -7302 Simplify 4*(-2 + (4*2*sqrt(200)*-6)**2 + ((sqrt(200) - -6*(sqrt(200) + 3*sqrt(200))) + sqrt(200) + 4 + sqrt(200) + 0)**2). 8640*sqrt(2) + 2426456 Simplify ((4*(1*sqrt(220) - sqrt(220)))/(1*sqrt(1100)))/(sqrt(72)/sqrt(200)). 0 Simplify (3*(2*sqrt(245))/sqrt(5)*6)/(((sqrt(77) + (-2*sqrt(77) - sqrt(77)))*-1)/(sqrt(33)/sqrt(3)*-2 + sqrt(11))). -18*sqrt(7) Simplify -5 + ((sqrt(150)/(sqrt(40) - sqrt(10)))/(sqrt(27)*-2) - (2 + 0 + 1*sqrt(5) + -2)). -5 - 7*sqrt(5)/6 Simplify 2 + (sqrt(48)*5 + -4*sqrt(27) - ((0 + sqrt(147))**2 + sqrt(147) - (1 + sqrt(27)))) + 1. -143 + 4*sqrt(3) Simplify (5*((sqrt(1377)*-2 + 0 - (1 + sqrt(1377) + 0)) + -3 + -3))**2*-3. -933150 - 28350*sqrt(17) Simplify (2 + sqrt(405) + sqrt(405)*-2 + 5 - (3 + -3 + sqrt(405) + sqrt(405) + -1*sqrt(405) + sqrt(405)))**2 + 0. -378*sqrt(5) + 3694 Simplify ((3*2*sqrt(110) - 1*sqrt(110)*2) + ((sqrt(110) - 1*sqrt(110))*5 + sqrt(110))*-3)/((-5*-3*sqrt(100))/(sqrt(10) - (sqrt(40) + sqrt(200)/sqrt(5)))). -sqrt(11)/5 Simplify (((3*sqrt(704))**2 - sqrt(704))*-2 - (sqrt(704) + -2 + sqrt(704))*6 - (4*(sqrt(539)*-6)**2 + -3)) + 4. -90269 - 80*sqrt(11) Simplify (sqrt(99) + (sqrt(99) + -1)**2 - ((5*(sqrt(11) + -4))**2 - sqrt(11))) + (sqrt(539)*-4 - sqrt(539)) + (sqrt(11) + sqrt(11) + -3 + sqrt(11))**2 + 4. -463 + 145*sqrt(11) Simplify -6*(-1*-4*(1 + sqrt(272) + sqrt(272))*3*-1 + 0)**2*6. -5645376 - 82944*sqrt(17) Simplify (6*-4*(sqrt(432)*1 - sqrt(432)))**2*6 - ((1*sqrt(432)*3)**2 + ((sqrt(432) + (sqrt(432) - sqrt(432)*3 - sqrt(432)))*5)**2). -47088 Simplify 1*(2 + (sqrt(98)*-2 - (sqrt(2) - sqrt(6)/sqrt(3)*3)) + 4 + sqrt(288) + 2). 8 Simplify (sqrt(304) + 1 + sqrt(304) + 1 + 5 + (-6*1*sqrt(304) - (-1 + (sqrt(304) - sqrt(304)*1))) + -1)**2*-3. -14739 + 672*sqrt(19) Simplify 2 + (-4*(1*(1 + sqrt(75) + (sqrt(75) - (0 + sqrt(75)))) + 4*(-1 + sqrt(75) + sqrt(75)) + 3))**2. 97202
{ "pile_set_name": "DM Mathematics" }
*v - 3. Let s(u) = -4*r(u) - 5*z(u). What is q*a(y) + 4*s(y)? -y Let m = -2328 + 2330. Let c(k) = 2*k**3 + k**2 - 2*k + 3. Let b(u) = u**3 - u + 2. Calculate m*c(g) - 3*b(g). g**3 + 2*g**2 - g Let v(t) be the second derivative of t**3/6 - 3*t**2/2 - t - 44. Let b(p) = 1. Let w be (-2)/2 - (-5 + 6). Calculate w*v(l) - 5*b(l). -2*l + 1 Suppose -2*a - 107 = -2*g + 5*g, -2*g - 2*a - 68 = 0. Let m = g + 34. Let f(j) = -7*j**2 + 5*j + 1. Let q(d) = -4*d**2 + 3*d. Determine m*q(i) + 3*f(i). -i**2 + 3 Let q(x) = 2*x**2 - 18*x + 18. Let z(c) = -7*c - 2. Let u(k) = -19*k - 5. Let g(j) = -3*u(j) + 8*z(j). Calculate 36*g(o) + 2*q(o). 4*o**2 Let q(f) = 2*f - 2*f + 5*f. Let i(z) = -5. Let a(r) = -r + 5. Let p(j) = -a(j) - i(j). What is 33*p(g) - 6*q(g)? 3*g Let f(i) = -9*i + 7*i - 5*i + 8 - 7. Let p(x) = -7*x + 1. Determine 4*f(u) - 5*p(u). 7*u - 1 Let s = -4 - 0. Let i be (-15 - s) + (2 - -1). Let m(z) be the third derivative of z**4/6 - z**3/3 - 3*z**2 - 9. Let a(r) = -11*r + 6. Give i*m(v) - 3*a(v). v - 2 Let j(x) = -104*x**3 + 4*x**2 + 8*x - 4. Let n(r) = -r**3 + r**2 + 2*r - 1. Determine j(l) - 4*n(l). -100*l**3 Let d(l) = 3*l + 2. Let h(i) = 6 + i**2 - 1 + 4*i + 2 - 4. Let s(k) = 2*k + 7. Let a be (-5)/4*4/1. Let m be s(a). Calculate m*d(t) + 2*h(t). 2*t**2 - t Let o(t) be the third derivative of t**5/15 + t**3/6 + t**2. Let k(v) = -v**2. Let a(z) = z - 8 - 11 + 28 - 3*z. Let l be a(5). Give l*o(x) - 2*k(x). -2*x**2 - 1 Let x(a) = -9*a**2 + 14*a - 8. Let t(j) = 3*j**2 - 5*j + 3. Calculate 8*t(d) + 3*x(d). -3*d**2 + 2*d Let a(m) = 14*m + 21*m**3 - 2*m**2 - 15*m**2 - 24*m**3. Let x(b) = b**3 + 6*b**2 - 5*b. Calculate -4*a(g) - 11*x(g). g**3 + 2*g**2 - g Let t(s) = -2*s**2 - 13*s + 6. Let u(h) = -15*h**2 - 90*h + 40. Determine 20*t(x) - 3*u(x). 5*x**2 + 10*x Let y(x) = 8*x**2 + x + 5. Let r(b) = 13*b**2 - 2*b. Let u(f) = -23*f**2 + 3*f - 1. Let h(g) = 5*r(g) + 3*u(g). What is 5*h(i) + 3*y(i)? 4*i**2 - 2*i Let j(a) = -9*a - 3. Suppose 19 = 4*n - c, -n + c + 5 = 1. Let s(y) = 37 + 44 + n*y - 79. Let z be 2/(0 - 2/(-5)). Calculate z*s(w) + 3*j(w). -2*w + 1 Suppose 5*j + 200 = 215. Let p(z) = 7*z + 4. Let l(i) = 1. Give j*l(g) - p(g). -7*g - 1 Let m(b) = -1 - 2*b + 2*b + 9*b. Let h(j) = -j - 203. Let p(o) = o + 116. Let q(k) = 4*h(k) + 7*p(k). Give -2*m(s) + 7*q(s). 3*s + 2 Let c(f) = -18*f - 54. Let h(q) = -29*q - 80. What is 8*c(t) - 5*h(t)? t - 32 Let i(l) = 60*l**3 + 44*l**2 + 44*l. Let o(f) = -4*f**3 - 3*f**2 - 3*f. What is -6*i(m) - 88*o(m)? -8*m**3 Let n(b) = -4*b**2 - 3*b + 11. Let x(s) = -11*s**2 - 8*s + 32. Suppose 0 = -40*h + 33*h + 56. Calculate h*n(l) - 3*x(l). l**2 - 8 Suppose 4*f - 2*f = 8. Let q(k) be the first derivative of 11*k**2/2 - 5*k - 49. Let t(v) = 6*v - 3. Let l be (-9)/(-1 - -2) - -2. Give f*q(h) + l*t(h). 2*h + 1 Let i be ((-1)/(-2))/((-1)/14). Let y(j) = 3*j - 12. Let h(z) = -4*z + 18. Let c(t) = i*y(t) - 5*h(t). Let q(v) = -2*v - 11. Calculate -7*c(w) + 4*q(w). -w - 2 Let v(l) = -15*l**3 + 6*l - 1. Let n(h) = -15*h**3 + 7*h + 1. Let i(w) = 6*n(w) - 7*v(w). Let f(z) = -7*z**3 - 5*z + 5*z - 6. What is 13*f(a) + 6*i(a)? -a**3 Let l(u) = -10*u**3 + 4*u**2 - 6*u + 5. Let p(n) be the second derivative of -11*n**5/20 + 5*n**4/12 - 7*n**3/6 + 3*n**2 + 178*n. What is -5*l(o) + 4*p(o)? 6*o**3 + 2*o - 1 Let z(r) be the first derivative of 2*r**3 - r**2/2 - 23*r + 469. Let m(l) = 2*l**2 - 8. What is -17*m(o) + 6*z(o)? 2*o**2 - 6*o - 2 Let w(i) = -161*i + 12. Let b(j) = -2*j - 2. Give -5*b(v) - w(v). 171*v - 2 Let q(n) = 19*n**2 + 3. Let j = 21 - 24. Let v(u) = -96*u**2 - 16. Determine j*v(s) - 16*q(s). -16*s**2 Let x(h) = -14*h**3 - 11*h**2 - 11*h. Let b(z) = -z**3 - z**2 - z. Suppose 6*s = 4*s + 10, 2*c = s + 83. Calculate c*b(g) - 4*x(g). 12*g**3 Let i be (4 + -2)*(3 + -2). Let n(d) = 0*d**i - 7*d - 2*d**2 + 0*d**2 + 0*d**2. Let l = -58 - -63. Let x(y) = 2*y**2 + 8*y. Calculate l*n(c) + 4*x(c). -2*c**2 - 3*c Let w(o) = -o - 94. Let h(c) = 3*c + 286. Give -2*h(q) - 7*w(q). q + 86 Let d(p) = -6*p + 12. Let z(u) = 1 + 2*u + 2 - 1 - 6. Determine -4*d(k) - 11*z(k). 2*k - 4 Suppose 2*s = -11 - 3. Let p(g) = -g + 1. Let j(i) = -5*i + 3. Let o(n) = j(n) - 6*p(n). Let m(a) = 4 + 3 - a - 3. Calculate s*o(t) - 5*m(t). -2*t + 1 Let c(s) be the first derivative of -5*s**2/2 + 8*s - 4. Let d(g) be the first derivative of -2*g**2 + 7*g - 108. Determine 6*c(z) - 7*d(z). -2*z - 1 Let i(b) = 2*b**2 - b + 3. Let u(z) = z**2 + 2*z - 13. Let a(y) = y - 6. Let m(x) = 5*a(x) - 2*u(x). Give -5*i(p) - 4*m(p). -2*p**2 + p + 1 Let u(c) = -2*c**3 - 5*c**2 - 11*c + 5. Let z = 99 - 107. Let g(m) = 3*m**3 + 8*m**2 + 17*m - 8. Give z*u(d) - 5*g(d). d**3 + 3*d Let u(g) = -2*g. Let i(s) = 2*s. Let t(z) = -59*z - 998. Let p be t(-17). Let b = -1 + 7. Give b*i(n) + p*u(n). 2*n Let m(s) = 20*s**2 - 20*s - 23. Let a(v) = -7*v**2 + 7*v + 8. Let h(x) = -63*x + 57. Let b be h(1). What is b*m(z) - 17*a(z)? -z**2 + z + 2 Let x(m) = 12*m - 2. Let l(j) = 112*j. Let z(g) = 61*g. Let a(f) = -6*l(f) + 11*z(f). Calculate -4*a(q) + x(q). 16*q - 2 Let a(n) = -9*n**2 - 6*n + 5. Let s be (2 + (1 - -3))*16/12. Let y(d) = -3*d + 3*d**2 + 0*d**2 + 3 + 0*d**2 - s*d**2. What is 3*a(b) - 5*y(b)? -2*b**2 - 3*b Let b(x) = -9*x - 6. Let d(s) = 4*s + 45. Let g(r) = -8*r - 76. Let t(l) = 5*d(l) + 3*g(l). Determine 3*b(j) - 7*t(j). j + 3 Suppose 12*j - 8*j - 3*c + 19 = 0, 5*c - 29 = 4*j. Let m(p) = p**3 + p**2 - p - 1. Let k(o) = -3*o**3 - 6*o**2 + 4*o + 1. Calculate j*k(g) - 4*m(g). -g**3 + 2*g**2 + 3 Let b(g) = -g**2 - g + 1. Let n(w) = -7*w**2 - 5*w + 6. Suppose -4*a - 3 - 1 = 0. Let h = 1167 - 1161. Calculate a*n(v) + h*b(v). v**2 - v Suppose 5*s - g + 29 = 0, 0 = -2*g - 3 + 1. Let k(m) = 3*m + 2. Let h = 13 + 27. Suppose 6*a + h = -2*a. Let n(d) = -4*d - 2. Calculate a*n(o) + s*k(o). 2*o - 2 Let v(s) = -2*s - 14. Let m(d) = -d**3 + 4*d**2 - 2*d - 1. Let k be m(2). Suppose -99 = -16*o + 5*o. Let p(t) = -19*t + o*t + 11*t + 5. Give k*v(a) + 8*p(a). 2*a - 2 Let b(l) = 1. Let o(f) = 5*f + 30. Give -3*b(r) + o(r). 5*r + 27 Let f = 11 + -8. Let q(l) = 10*l + 4. Let i(u) = u. Let x(v) = -6*i(v) + q(v). Let d(c) = -3*c - 3. Determine f*d(m) + 2*x(m). -m - 1 Let q(n) = -n. Let s(l) = l. Let c = -16 + 17. Let d(o) = 3*o - 2. Let i(v) = c*d(v) + 5*s(v). Calculate -i(z) - 10*q(z). 2*z + 2 Let n(y) = y**3 + 3*y**2 - 2. Let h(w) = w**2. Suppose -2*i + i - 25 = 0. Let a = -26 - i. Calculate a*n(z) + 3*h(z). -z**3 + 2 Suppose -2*s + 6 = 4*y, -5*s = 9*y - 10*y + 40. Let w(g) = 58*g - 7. Let f(r) = -19*r + 2. Give s*f(d) - 2*w(d). 17*d Let v(s) = -16*s - 41. Let k(d) = 30*d + 81. Determine 3*k(w) + 5*v(w). 10*w + 38 Let i(k) = -9*k**2 + 7*k. Let y be 21/6*(23 - 21). Let w(c) = -4*c**2 + 3*c. Give y*w(h) - 3*i(h). -h**2 Suppose 12*a - 13 = -157. Let f be ((-14)/56 - (-17)/a)*-3. Let k(v) = v. Let g(c) = -2*c**3 + 3*c + 1. Determine f*k(m) - g(m). 2*m**3 + 2*m - 1 Let y(o) = -22*o**3 + o**2 - 8*o. Let c(g) = 43*g**3 - 3*g**2 + 17*g. What is -3*c(f) - 7*y(f)? 25*f**3 + 2*f**2 + 5*f Let q(b) = -b - 4. Suppose 5*z = -2*l - 3*l - 60, -4*z + 3*l - 20 = 0. Let n = z - -20. Let j(k) = -n - 15 - k + 22. Give 2*j(f) - 3*q(f). f + 2 Let d(a) = 3*a**2 + 2*a. Let h(g) = -4*g**2 - 3*g + 1. Let q = -11 - -14. Determine q*d(l) + 2*h(l). l**2 + 2 Let q(c) = 11*c**2 + 7*c + 2. Let w(l) = -l. Give -q(j) - 6*w(j). -11*j**2 - j - 2 Let c(b) = 4. Let y(o) = -3*o - 108. Let n = 1244 + -1240. Determine n*y(h) + 108*c(h). -12*h Let i(j) = -9*j - 7. Let o(u) = 4*u + 3. Let k(v) = 3*i(v) + 7*o(v). Let c(x) = -2*x**2 - 7*x. Give c(r) + 6*k(r). -2*r**2 - r Let h(n) = 20*n + 2. Let s be h(0). Let v(a) = a - 1. Let r(o) = -2. What is s*v(f) - 2*r(f)? 2*f + 2 Let f(i) = 145*i + 17. Let q(w) = -96*w - 12. What is -5*f(y) - 7*q(y)? -53*y - 1 Let c(v) = -3*v**3 + v**2 + 5*v + 3. Let b(i) = i**3 - i - 1. Suppose 38 = 9*a + 29. Determine a*c(h) + 5*b(h). 2*h**3 + h**2 - 2 Let y = 136 - 137. Let k(u) = u**3 + u**2 + 1. Let l(t) = -t**3 + 2*t**2 - t + 2. Give y*l(o) + 2*k(o). 3*o**3 + o Let r(g) = 3*g - 6. Let b(d) be the second derivative of -d**2/2 + 91*d. What is 3*b(c) - r(c)? -3*c + 3 Let k(z) = 5*z**3 - 3*z**2 + 5. Let d(l) = l**2 - 3*l - 2. Let c be d(-1). Let o(n) = 37 + 33 + 4*n**3 - 66 - 2*n**c. Determine -2*k(t) + 3*o(t). 2*t**3 + 2 Let s
{ "pile_set_name": "DM Mathematics" }
2*k + o, x - 4*k - 7 = 4*x for x. 3 Suppose 5*d + 4 = 19. Solve -d*c + 4 = -2*f - 4, -6 = 4*f - c for f. -1 Let c(q) = -2*q**3 - q**3 - 19*q + 3*q + 2*q**3 - 25 - 18*q**2. Let s be c(-17). Let y be (-132)/s + (-1)/7. Solve 5*i - 6 = -4*j, 2*j + j = y*i - 9 for j. -1 Suppose -21*z + 23*z + 2*x = 10, 2*z - 10 = -3*x. Solve -2*i + 0 = 2, 2*i + 12 = z*l for l. 2 Suppose -3*o - 2*o + 19 = 2*r, -6 = -3*r. Solve -5 = 2*a - o*q, -a + 0*a = 3*q + 7 for a. -4 Let b be (8/(-3))/((-3)/(-54)). Let u be (6/4)/(4*(-9)/b). Solve 4*m = -u*h - h + 8, m = -2*h - 3 for h. -4 Let v(p) = p**3 + 10*p**2 - 25*p - 9. Let y be v(-12). Solve -3*o = 9, y*l - 4*o - 2 - 25 = 0 for l. 5 Let j = -168 + 170. Solve 5*t - j = -2*o - 0*o, o = -2*t for o. -4 Let f be -8*(36/(-108))/(2/12). Solve f = 3*t - 5*z - 10, -5*t + 5*z = -30 for t. 2 Let i be 2/((-70)/(-15) - 4). Solve s - i = 2*s - b, 2*s - 5*b = -15 for s. 0 Let l(f) = -f**2 - 8*f - 5. Let w be l(-7). Suppose w*o - 6 = 0, -7 = 2*i - 4*i + 3*o. Suppose 0*m + 4 = 2*m. Solve 3*v = 3*d - 0 + 6, v = -m*d + i for d. 2 Let s = 130 - 122. Let v(o) = o**2 - 6*o - 7. Let c be v(s). Solve 3*b - 8*b = 0, -3*k + 5*b = c for k. -3 Let c be ((-28)/(-12) + -3)*12. Let w be c/36 - 141/(-27). Suppose 12 = 2*a + 2*f, w*a = 5*f - 0 - 10. Solve -z + a*z = -4*v - 15, -3*v = 3*z + 9 for v. -4 Let y be (-6)/4*10/(-45)*15. Suppose -4*v - y*m + 120 = 0, 2*m - 103 = -2*v - 41. Solve 0 = 3*k + 5*u + v, -6*k + k - 29 = u for k. -5 Let o = -464 - -466. Solve -2*k = -4*f - 10, 0 = o*f + 5*k + 25 - 2 for f. -4 Let m be ((-2)/4)/(3/36). Let f be 4/m - (-11)/3. Suppose -4*n + 5 + f = 0. Solve 0 = b + 2*y + n, -2*y = -3*b - 0 + 10 for b. 2 Suppose 3*l + 0*l = 5*j - 77, 4*l = 2*j - 42. Suppose -f + j = 2. Solve 3*u = 4*v - 0*u + f, -5*u = 5*v + 40 for v. -5 Let m(x) = -x**3 + 5*x**2 + 4*x + 5. Let f be m(6). Suppose -6*w + w = p - 46, p = w - 14. Let d = w + f. Solve 4*u - 3*v = 8, -v = -3*u + d*v + 13 for u. -1 Suppose -7*b + 121 = -3*b - s, -3 = -s. Suppose -b = -5*g + 4*q, -2*g - 3*g = -5*q - 35. Solve 0 = -g*d, d + 3*d = -5*v for v. 0 Suppose 16*j - 13*j = 5*z + 17, 0 = 2*z + 2. Solve 3*g - j + 10 = -3*h, -3*g - 4*h - 8 = 0 for g. 0 Let m be (2 - (-25)/(-10))*0. Solve m = b - 2*c + 4, 4*b - 12 = -5*c - 2 for b. 0 Let v = 25 + -21. Solve v*m = 5*t - 5, -t + 0*t = 5*m - 1 for m. 0 Let d(i) = -4*i**2 - 5*i. Let r be d(-4). Let c = 47 + r. Solve s - c*g + 5 = 0, 7*g = -s + 2*g - 5 for s. -5 Let m(u) = 3 + 0*u**3 + 4*u**2 + 3*u - 3*u**3 + 3*u**3 + u**3. Let n = -32 - -29. Let h be m(n). Solve -3*r - 10 + 0 = y, h*y + 18 = -5*r for r. -3 Suppose -21*g + 10 + 11 = 0. Solve g = 3*b - 4*m, 2*b + 3*m + 1 = -4 for b. -1 Let c(i) = -5*i**2 + 0*i**2 + 10*i + 0 + 4*i**2 + 2. Let g be c(9). Suppose r = -5*o + 29, -r + 5*r - g = o. Solve 0 = 5*j + 3*f - 7, 2*f - 2 = -r for j. 2 Suppose 47 = 12*t + 11. Solve t*i - 11 = a, 0 = -4*a + a - 3*i + 3 for a. -2 Let u = -88 - -96. Solve 0 = -z + 4, 5*q + 1 = -4*z + u*z for q. 3 Let c = 643 + -641. Solve 3*o + c*u + 12 = 0, 2*o - 3*u - 6 + 14 = 0 for o. -4 Suppose 3*t - 5*c - 30 = 0, 3*t + c - 7 = t. Solve 0*x + 4*x + 32 = -3*j, -t*x - 9 = -4*j for j. -4 Let z be ((-24)/(-44) + 0)*11. Suppose 3*n + 11 = -5*t, 4*t = -4*n + 2 - z. Solve 11 = -n*r - 5*b, 0 = 4*r - 3*b - 12 - 12 for r. 3 Let n = 9 - 12. Let h be (-46)/6 - 2/n. Let m = h + 10. Solve 0 = -q - 2*l, m = 3*l - 0 for q. -2 Suppose -24 = -13*h + 5*h. Let w = h + 2. Solve -w*u = -4*o - 23, 0*u + 5*u + 4*o = 7 for u. 3 Suppose 9 + 6 = 5*d. Let f = 0 + d. Suppose 4*b = 6 + 6. Solve 0 = -4*g - b*h - 2*h + 30, 5*g - f*h = 19 for g. 5 Let l(t) = t**2 + 6*t + 24. Let k be l(-5). Solve n + 4*w + k = 0, 0 = -n - 0*w - 3*w - 15 for n. -3 Let r = -460 + 465. Solve p - 5*p = -4*j - 4, 9 = r*p - 3*j for p. 3 Suppose 0 = 3*t + 2*t - 25. Suppose 0 = t*l - 9 - 6. Let p be 4/(-6)*l*-1. Solve o - 2*o = -p*v + 9, 5*v = 3*o + 24 for o. -3 Let s(k) be the second derivative of -k**4/12 + 9*k**2 - 20*k. Let r be s(4). Solve l = -x, 3*l - r = -3*x - x for l. -2 Suppose -2*q + 9 = -2*d - 3, 5*q - 4*d - 31 = 0. Suppose -i - q = -7. Solve i = -7*x + 2*x, -5*x = -3*t - 15 for t. -5 Suppose -19 - 14 = -11*k. Solve 0*s - k = -s, -3*s + 9 = 5*w for w. 0 Suppose -5*d + 9*d = 0. Let x = -12 - -29. Solve 4*n - x = 3*l, n - l + 0 - 5 = d for n. 2 Suppose 2*o + 4 = 0, 5*j - 4*o = 10*j - 12. Let z(a) = -a**2 + 5*a - 4. Let y be z(j). Solve -5*b - 20 = -5*n, -n + y*n + 2*b = -7 for n. 1 Let p = -31 - -41. Solve g + p = 6*g, -3*g + 5 = -x for x. 1 Suppose -4*v - 17*v = 0. Solve -5*u + 2*d + 28 = v, 4*u - 3*d = 5*u + 8 for u. 4 Let z(k) = k + 2. Let m be z(4). Let b be 1*(m + -3) + -1. Suppose 0*d = b*d - 12. Solve a - f = d*a - 11, -f = -a + 1 for a. 2 Let u(p) = -p**3 - 2*p**2 + 3*p + 3. Let y be u(-3). Suppose 7 - 1 = -3*t + 4*l, -5*l + 9 = -y*t. Solve 2*n = t, -2*q - 3*q - 4*n - 16 = 0 for q. -4 Suppose -i - 15 + 18 = 0. Let o be 10/(-2)*152/(-20). Let f = o - 36. Solve 4*s - f*s - i*d - 6 = 0, -5*d = -5*s + 15 for s. 3 Let r be -4*(-3 - -2) + -1. Suppose 0 = -5*a + r*a + 6. Suppose 0 = -t + a*f, 2*f = f. Solve 3*d + 1 = u + 3*u, t = 3*d + 4*u + 17 for d. -3 Let i be (0 + -8)*(-3)/6. Solve 2*p + 16 + 4 = i*h, -2*h + 14 = -2*p for h. 3 Suppose 104 = -97*d + 93*d. Let j = -13 - d. Solve -4*v - 6 = -p + j, 2*p - 4*v = 22 for p. 3 Let q = -3 - -4. Let l be q*(-4 - (2 - 11)). Solve -2*z - 4 = 2*z, -l*t - 3*z = 28 for t. -5 Let f = -3 - 9. Suppose -4*a + 3*k - 63 = 0, 11 = -5*a + 5*k - 69. Let m = f - a. Solve v + 2*p = 4*p - 6, -7 = 2*v - m*p for v. 4 Let k(f) = f**2 - 7*f - 3. Let n be k(8). Let j be 7*(-24)/(-140)*n. Let q = 10 - j. Solve -q*c + 11 = -m + 2*m, 0 = -2*m + 3*c for m. 3 Suppose 3*x - 23 = 4*q, 2*x + 9 = 3*x - 2*q. Solve s + 2*a = -3*a - 9, 3*a + 1 = -x*s for s. 1 Suppose 5*u + 0*u + 5 = 0. Let q be (-6)/(3/1 + 4/u). Solve 0 = q*o - 4*o + z + 5, -3*o + 10 = -2*z for o. 0 Let m be (-1 - (-2 - -1))/((-141)/141). Solve 3 = 3*o, m*o - 5*o = 2*s - 13 for s. 4 Let w be (-28)/(-15) + (-112)/(-840). Solve -w*n - 4 = 3*u - 0*n, 4*n - 36 = 5*u for u. -4 Suppose 0 = -69*z + 92*z. Solve 0 = -3*u - z*x - x - 6, -3*u = -4*x + 6 for u. -2 Suppose -4*i + 20 = 0, 10 = 274*k - 276*k + 4*i. Solve -k*f - 3*d = -6, -2*d + 6 = 2 for f. 0 Suppose 2*v = 5*a, v + v + a = 0. Let b be ((-6)/33)/(-1) + (168/(-77) - -5). Solve v = 3*m - 3*i + b, 0 = 5*m + 2*i - 3 - 13 for m. 2 Let o = 615 - 608. Solve -5*f = -3*n - 2*n + 10, -4*n = f + o for f. -3 Suppose -6*l + 10*l - 8 = 0. Let j(g) = 21*g**3 + g**2 - 2*g - 2. Let c be j(-1). Let q = c - -23. Solve -19 = l*t - q*p, 3*p + p = 12 for t. -5 Let f(d) = 7*d - 138. Let v be f(20). Solve -5*m = 5*j - 20, 0*j = 5*m - v*j + 8 for m. 0 Suppose -4*z = -7*z + 3. Let o be (17 + 0)*(0 + z). Let t = 25 - o. Solve 4*h = h - q - t, -4*h - 8 = 2*q for h. -4 Let p(o) = 5*o - 3. Let s be p(6). Let a = 23 - s. Let g(h) = -h + 7. Let q be g(a). Solve -4*m = -6*i + 3*i + q, -23 = -5*i + 2*m for i. 5 Suppose -9 = -3*a - 3*x - 30, 4*x = -2*a - 24. Let j be a/11 - 144/(-66). Solve -3*n + 13 = -g - g, j*g - 12 = -2*n for g. 1 Let z = 211 - 209. Solve 0 = 2*s + 3*q - 5, 7 = 2*s + z*s + 3*q for s. 1 Let m be (8/(-5))/((-4)/10). Suppose -4 = -2*i + 2*h + 2*h, -5*i - m*h = -24. Let y = 8 - i. Solve -4*w + 16 = -4*b, -5*w + 1 = -2*b - y for b. -5 Let q be -2*(4 - (13/2 + 1)). Let n(p) = 0 - 2 + 2 + 3*p + 1. Let f be n(q). Solve 16 = 5*m - 2*l, -2*m + f = 3*m - 4*l for m. 2 Let x(d) = -d**2 - 2*d + 59. Let y be x(5). Suppose -2*t + 5 = -5. Let a = t - 2. Solve -a*h + 4*r = y, h + h + 2*r + 2 = 0 for h. -4 Suppose 0*x + x - 8 = -3*b, -4*b + 16 = 4*x. Suppose 20 = 2*a + 2*a. Let y be 8 + (a - 3 - 0). Solve 3*s = k - y, -k + 18 = -3*s - x*s for s. -4 Suppose -1 + 25 = 4*b. Suppose 0 = 9*o - 6*o - b. Solve -4*v + 4 = 0, -o*t - 11 = -7*v + 2*v for t. -3 Let r = -40 - -40. Suppose -11*p - 10 + 43 = r. Solve 4*m + 8 = 4*y, y - p*m + 2 = -0*y for y. 4 Let w be ((-6)/(-16))/((-4)/(-32)). Suppose d = w*d - 4*f + 12, -35 = -5*d - 3*f. Solve -v + 3*r = -0*v - 8, -d*r = 5*v + 36 for v. -4 Suppose -r + j = 2, -5*r = 4*j - 5 - 3. Let h be 8 - (4 + 3 - 3). Let m = r + h. Solve -4*i = -16, 0 = m*d - i + 9 + 7 for d. -3 Let p = 741 - 739. Solve 3*k - 2 = -p*m + 3*m, 6 = -3*m - 2*k for m. -2 Suppose 3*s + 48 = -3*s. Let
{ "pile_set_name": "DM Mathematics" }
i when three letters picked without replacement from isiisiiiisiisisins? 55/272 What is prob of sequence pu when two letters picked without replacement from {u: 1, p: 3, i: 1, g: 7}? 1/44 What is prob of sequence iiiq when four letters picked without replacement from qiqibbiqiqq? 1/66 Four letters picked without replacement from {f: 7, p: 6, h: 1}. Give prob of sequence fhpf. 3/286 Two letters picked without replacement from waahudadhddahuouw. What is prob of sequence aw? 1/34 Three letters picked without replacement from {u: 3, g: 5, e: 3, p: 6, r: 1}. What is prob of sequence peu? 3/272 Four letters picked without replacement from {i: 1, p: 3}. Give prob of sequence pipp. 1/4 What is prob of sequence vta when three letters picked without replacement from {s: 6, z: 3, t: 1, a: 6, v: 1}? 1/680 What is prob of sequence fx when two letters picked without replacement from fxrxxrfrr? 1/12 Calculate prob of sequence bww when three letters picked without replacement from {n: 5, w: 4, z: 6, y: 1, b: 1, f: 3}. 1/570 Calculate prob of sequence uvv when three letters picked without replacement from {s: 1, n: 1, u: 2, v: 2, q: 1, z: 1}. 1/84 Three letters picked without replacement from mmmcmccmmmmmmmmmmm. What is prob of sequence mcc? 5/272 Two letters picked without replacement from npffpnrpprrnnpppp. Give prob of sequence rr. 3/136 Four letters picked without replacement from {x: 10, a: 2, h: 2}. Give prob of sequence ahaa. 0 What is prob of sequence kak when three letters picked without replacement from kaaaeeakeae? 1/99 Four letters picked without replacement from {c: 3, b: 2, u: 4}. Give prob of sequence uubc. 1/42 What is prob of sequence hn when two letters picked without replacement from {k: 2, b: 3, h: 6, n: 2}? 1/13 Three letters picked without replacement from liirmiismimsmisy. What is prob of sequence lrs? 1/1120 What is prob of sequence cn when two letters picked without replacement from {n: 4, u: 5, a: 2, c: 2}? 2/39 Calculate prob of sequence ajp when three letters picked without replacement from aepjo. 1/60 Two letters picked without replacement from {r: 2, e: 1, l: 6, j: 1, o: 2}. What is prob of sequence ol? 1/11 Calculate prob of sequence vzv when three letters picked without replacement from szzdzzvvdzz. 2/165 Three letters picked without replacement from {g: 4, d: 1, x: 4, s: 2, k: 8, e: 1}. What is prob of sequence sxs? 1/855 What is prob of sequence ex when two letters picked without replacement from jqxjmxjxejejqej? 3/70 What is prob of sequence pbs when three letters picked without replacement from psbsbpsbbsps? 1/22 What is prob of sequence sjcc when four letters picked without replacement from cwwcjjsxm? 1/756 Two letters picked without replacement from {f: 2, i: 1, x: 1}. Give prob of sequence xf. 1/6 Calculate prob of sequence cwc when three letters picked without replacement from wccwwwwww. 1/36 Four letters picked without replacement from vqvqqq. Give prob of sequence qvqq. 2/15 Calculate prob of sequence kakk when four letters picked without replacement from geaekeeekekek. 1/715 Two letters picked without replacement from nbnbnnb. Give prob of sequence bn. 2/7 Two letters picked without replacement from {g: 4, x: 1, p: 2, f: 1, v: 9}. Give prob of sequence vp. 9/136 Four letters picked without replacement from {f: 2, k: 4, j: 1, i: 2, r: 7, h: 4}. What is prob of sequence kkrk? 7/4845 What is prob of sequence dod when three letters picked without replacement from dooomvmaoooodomov? 3/680 Two letters picked without replacement from bbeebebbbbbb. Give prob of sequence be. 9/44 What is prob of sequence bby when three letters picked without replacement from {y: 1, b: 7}? 1/8 What is prob of sequence sss when three letters picked without replacement from {a: 4, s: 2}? 0 Calculate prob of sequence hha when three letters picked without replacement from hahahh. 1/5 What is prob of sequence qumu when four letters picked without replacement from {u: 3, q: 3, m: 2}? 3/140 Two letters picked without replacement from jqjqcjqjjjqjjqjjj. Give prob of sequence jc. 11/272 What is prob of sequence ocoe when four letters picked without replacement from eonoeoneenoocnoooone? 1/323 Three letters picked without replacement from {s: 5, e: 1, v: 5}. What is prob of sequence vve? 2/99 Two letters picked without replacement from xkdxjththxhddxjht. What is prob of sequence dd? 3/136 Three letters picked without replacement from {u: 5, e: 7, s: 3, k: 1, b: 2, g: 2}. What is prob of sequence uuu? 1/114 Calculate prob of sequence uunn when four letters picked without replacement from uunnnnnnununnnnnun. 13/306 Four letters picked without replacement from hfffokfhkfkfhdfkhfof. Give prob of sequence dfko. 1/1615 Three letters picked without replacement from {h: 4, u: 3, s: 2}. What is prob of sequence ssh? 1/63 Two letters picked without replacement from {v: 7}. What is prob of sequence vv? 1 Three letters picked without replacement from {d: 2, u: 9}. Give prob of sequence uuu. 28/55 What is prob of sequence eee when three letters picked without replacement from {y: 1, b: 5, e: 4}? 1/30 What is prob of sequence vbbv when four letters picked without replacement from {s: 9, b: 6, v: 4}? 5/1292 Calculate prob of sequence odod when four letters picked without replacement from {o: 7, d: 5}. 7/99 Two letters picked without replacement from nffnnfnnnffn. Give prob of sequence ff. 5/33 Two letters picked without replacement from {c: 2, p: 1, e: 1, w: 2, q: 1}. Give prob of sequence pc. 1/21 Three letters picked without replacement from iifiiivvvfnivnfeinnf. What is prob of sequence nvi? 14/855 Three letters picked without replacement from {t: 2, v: 10}. Give prob of sequence ttv. 1/66 What is prob of sequence eo when two letters picked without replacement from yyoyyyyoyouyoyooe? 3/136 What is prob of sequence ac when two letters picked without replacement from {c: 4, l: 7, a: 4}? 8/105 Two letters picked without replacement from fkekeeefe. What is prob of sequence ke? 5/36 Four letters picked without replacement from gpgpqpppgqgtppcpgp. Give prob of sequence qctq. 1/36720 Three letters picked without replacement from {b: 2, g: 6, o: 2, d: 9}. What is prob of sequence god? 6/323 Three letters picked without replacement from {e: 4, r: 1, x: 2, q: 1, s: 2, o: 4}. Give prob of sequence exx. 1/273 Calculate prob of sequence nh when two letters picked without replacement from nsnnnsshnnnnnnnn. 1/20 Three letters picked without replacement from pccysycccpvpyycyysyc. Give prob of sequence pcp. 7/1140 What is prob of sequence zzz when three letters picked without replacement from {v: 5, z: 14}? 364/969 What is prob of sequence fqqf when four letters picked without replacement from {q: 3, w: 2, f: 10}? 3/182 Two letters picked without replacement from eoeeesseseesee. Give prob of sequence eo. 9/182 Three letters picked without replacement from {p: 2, q: 11, x: 5, v: 1}. Give prob of sequence xqp. 55/2907 What is prob of sequence ooqx when four letters picked without replacement from yyyxyqqqyocqyoqy? 1/4368 Three letters picked without replacement from jjjcgggggt. Give prob of sequence tjj. 1/120 What is prob of sequence sgg when three letters picked without replacement from {g: 4, s: 3, k: 7}? 3/182 Four letters picked without replacement from {a: 4, n: 4, v: 2, w: 1}. What is prob of sequence wnna? 1/165 What is prob of sequence xyq when three letters picked without replacement from qxrayrrr? 1/336 Two letters picked without replacement from {p: 1, b: 2, s: 1, j: 1, g: 2, d: 1}. Give prob of sequence sd. 1/56 Three letters picked without replacement from {n: 10, a: 10}. Give prob of sequence naa. 5/38 Calculate prob of sequence dapa when four letters picked without replacement from {a: 3, p: 16, d: 1}. 4/4845 Three letters picked without replacement from fooxfjxsffoxxp. Give prob of sequence ojs. 1/728 Two letters picked without replacement from ezzzeeppzeeezkzzeezz. What is prob of sequence ez? 18/95 Two letters picked without replacement from {m: 7, v: 7, e: 5}. Give prob of sequence em. 35/342 Calculate prob of sequence arar when four letters picked without replacement from {a: 7, r: 4}. 7/110 Calculate prob of sequence ef when two letters picked without replac
{ "pile_set_name": "DM Mathematics" }
7860*m**3 + 603*m*v**2 Find the second derivative of -6698199*f*n**2*w**2 + 2*f + 16840*n - 137*w**2 wrt n. -13396398*f*w**2 Find the second derivative of -8713740*u**2 + 444*u + 764 wrt u. -17427480 Differentiate 6828747*u**2 - 13572779 wrt u. 13657494*u Find the third derivative of -66957608*w**4 - 674852*w**2 - w + 11 wrt w. -1606982592*w What is the second derivative of 110822860*q**2 - 110822843*q? 221645720 What is the derivative of 530327173*i**3 - 106754292 wrt i? 1590981519*i**2 What is the third derivative of -2*z**4 + 419320078*z**3 + 797518*z**2 - 50*z? -48*z + 2515920468 Differentiate r**4 - 4*r**3 + 24742*r**2 + 2*r - 758889 with respect to r. 4*r**3 - 12*r**2 + 49484*r + 2 What is the second derivative of -468*l**3*r**2 - 3*l**3 + 2*l**2*r + 9*l**2 + 68258*l*r**2 + 2*l + 25879 wrt r? -936*l**3 + 136516*l What is the second derivative of 6*g*s*x*z**2 - 3*g*s*z**2 - 2*g*s*z - 673595*g*x*z**2 - 2491788*g*x*z + 3*s*x + 9*s wrt z? 12*g*s*x - 6*g*s - 1347190*g*x What is the derivative of 911*p**3 + 2*p**2 - 8561*p + 1057463107? 2733*p**2 + 4*p - 8561 What is the second derivative of 742026598*q**5 + 702621025*q wrt q? 14840531960*q**3 What is the third derivative of 10*s**4 + 931609*s**3 - 5*s**2 + 5317902*s wrt s? 240*s + 5589654 Find the first derivative of 285*g**2*h**3 - 25776*g + h**3 - 6783117 wrt g. 570*g*h**3 - 25776 What is the first derivative of 236*b*x**2 - 221684*b*x - 152492*b + 173 wrt x? 472*b*x - 221684*b Find the first derivative of -q**4 - 90035*q + 700312502 wrt q. -4*q**3 - 90035 Find the first derivative of 220971717*u + 141665458. 220971717 Differentiate 1254304*c**3 + 3*c + 23061936. 3762912*c**2 + 3 Differentiate -7*c*y**2 + 17*c*y + 281*c - 275834*y**2 + 5*y with respect to c. -7*y**2 + 17*y + 281 What is the second derivative of 4329540*g**4*x**2 - g**2*r*x**3 - 13*g*r*x**3 - 4*g*r*x - 150*g*x**3 - 79*r*x**2 wrt g? 51954480*g**2*x**2 - 2*r*x**3 What is the third derivative of -153856062*w**3 + 110443*w**2 - 193*w wrt w? -923136372 What is the third derivative of 5927995*o**5 + 18593*o**2 + 2*o - 62? 355679700*o**2 Find the second derivative of -2888*g**3*h**3 - 1670*g**3*h**2 - 173*g*h**3 - 2*g*h + 3*h - 220 wrt g. -17328*g*h**3 - 10020*g*h**2 What is the derivative of 107*b**3*w + 941787174*b**3 + 224*b*w**2 - 242*w**4 wrt w? 107*b**3 + 448*b*w - 968*w**3 Differentiate 2*p**2 - p*r**2 - 5213236*p*r + p + 398769496*r**2 with respect to p. 4*p - r**2 - 5213236*r + 1 Find the first derivative of 824063919*o - 686422430. 824063919 Find the first derivative of -21*f*s**2 + 35231*f - 16*s**4 - 309*s**2 + 47 wrt s. -42*f*s - 64*s**3 - 618*s What is the third derivative of 99*i**5 + 231182*i**4 + 67*i**2 - 10477*i + 2 wrt i? 5940*i**2 + 5548368*i What is the second derivative of 35756*b*z**3 - 1117*b*z**2 + b*z - 9*b + z**2 - 22435165*z wrt z? 214536*b*z - 2234*b + 2 Find the second derivative of -67804*y**3 + 21*y**2 + 19610652*y. -406824*y + 42 Differentiate 2*g*z**2 - 75*g*z - 2369728*g + z**2 + 1440*z with respect to z. 4*g*z - 75*g + 2*z + 1440 Find the third derivative of -3416263*y**3 + 2*y**2 - 1370499 wrt y. -20497578 What is the second derivative of 632384199*t**5 + 179828578*t wrt t? 12647683980*t**3 Find the second derivative of -6*j**5 + 1777049*j**4 + 37420198*j. -120*j**3 + 21324588*j**2 What is the first derivative of -38*g**3 + 2625075*g - 150344422 wrt g? -114*g**2 + 2625075 Find the third derivative of 19767311*l**3 - 14*l**2 - 7971*l + 9 wrt l. 118603866 What is the first derivative of -7*f*l*v**3 - 744*f*l*v + 159*f*l - 3836526*f*v + 2*v**3 wrt l? -7*f*v**3 - 744*f*v + 159*f Find the second derivative of -2*n**3 + 2170896*n**2 + 6667040*n wrt n. -12*n + 4341792 What is the second derivative of -1216*j*w**2 - 2*j + 70*w**2 - 2*w + 71970840 wrt w? -2432*j + 140 Find the third derivative of m**6 - 1374571*m**5 + 10002*m**2 - 1675 wrt m. 120*m**3 - 82474260*m**2 Find the third derivative of -97466*o*z**3 - o*z**2 - 9494677*o*z - 2*o - 43*z**4 wrt z. -584796*o - 1032*z What is the second derivative of -126*m**3*y**2 - 11478*m**2*y**2 + 21*m**2 + 1047035*m*y - m + y**2 wrt m? -756*m*y**2 - 22956*y**2 + 42 Find the third derivative of 16430204*b**3*f - 2283*b**2*f - b*f + 4*f - 1351 wrt b. 98581224*f Find the first derivative of -a**4 + 149044*a**2 - 2*a - 35809800. -4*a**3 + 298088*a - 2 What is the third derivative of 5*f*x**5 + 2*f*x**3 - 185*f*x**2 + 39130*f*x + 307975*x**4 wrt x? 300*f*x**2 + 12*f + 7391400*x Find the third derivative of 28608139*h**5 + 2*h**2 - 6588280*h - 3. 1716488340*h**2 Find the second derivative of -4694555*u**5 + 3*u**4 + 4*u + 1058097. -93891100*u**3 + 36*u**2 What is the third derivative of -2463264*o**3 - 9*o**2 - 224*o - 1294? -14779584 Find the third derivative of -46274768*h**3 - 55073*h**2 - 1045 wrt h. -277648608 What is the third derivative of 1273970*o**4 + 11*o**3 + 12030397*o**2? 30575280*o + 66 What is the second derivative of -401577*d**2*r**2 - 3*d**2*w - 8*d**2 - 268759*d*r*w**2 + 139*r**2*w**2 - 3*r*w wrt r? -803154*d**2 + 278*w**2 Find the second derivative of -11260283*k**2*t**3 + k**2*t**2*z**2 + 28*k*t**3 + k*z**2 - 15604*t**3*z**2 + 2*t*z**2 wrt k. -22520566*t**3 + 2*t**2*z**2 Differentiate 14*l**3 + 118432*l**2*s - 3530148*s + 6 wrt l. 42*l**2 + 236864*l*s What is the third derivative of -13*i**5 + 1324806*i**4 - 56*i**2 - 55255 wrt i? -780*i**2 + 31795344*i What is the second derivative of -1519779*o**4 - 41*o**3 + 2*o**2 - 285457508*o? -18237348*o**2 - 246*o + 4 Find the third derivative of 298*b**5*n + 1057*b**4*n**3 - 2*b**2 - 2959*b*n**3 + 2*b*n - 6*n**3 - 2*n**2 wrt b. 17880*b**2*n + 25368*b*n**3 Find the third derivative of 279181*a**3*y**2 + 68*a**3*y + 136*a**2*y + 2*a**2 - 21688*y**2 wrt a. 1675086*y**2 + 408*y Find the second derivative of -47*a**3 - 133293*a**2 - a - 3259765 wrt a. -282*a - 266586 What is the derivative of 9764985*k**2 + 2649779 wrt k? 19529970*k Differentiate 14156200*l + 9565883. 14156200 Find the second derivative of -684950797*g**2 - 512806506*g. -1369901594 What is the third derivative of 46029062*z**4 - 13222478*z**2? 1104697488*z What is the derivative of -783*k**3 + 4584*k**2 - k - 1010356631? -2349*k**2 + 9168*k - 1 Find the first derivative of 7840320*o + 6474109 wrt o. 7840320 Find the first derivative of -1293222*b*i - 5287424*b + 5*i - 1 wrt i. -1293222*b + 5 Find the third derivative of n**5 - 4*n**4 + 352850*n**3 + n**2 - 415*n - 333 wrt n. 60*n**2 - 96*n + 2117100 Find the second derivative of -74*q**5 - 67518*q**4 - q - 669990. -1480*q**3 - 810216*q**2 Differentiate -43113*s**3*z - 87*s**3 + 418*s**2*z**4 - 31088*s**2 + 34 wrt z. -43113*s**3 + 1672*s**2*z**3 Find the second derivative of 51133*v**4 + 398*v**3 - 3*v**2 - 477137132*v. 613596*v**2 + 2388*v - 6 What is the second derivative of -13211*j**2*n**2 + 365*j**2*n - 15*j*n**2 + 30189*n**2 wrt j? -26422*n**2 + 730*n Differentiate -5698374*j + 7515650 wrt j. -5698374 What is the first derivative of 4*h**3*t - 2737994*h**3 - 2563*h*t + 3*t wrt t? 4*h**3 - 2563*h + 3 What is the derivative of -2291*s**4 - 400*s**2 + 9*s + 492171680 wrt s? -9164*s**3 - 800*s + 9 What is the derivative of 47691112*d**3 - 45840608? 143073336*d**2 What is the second derivative of 81*u**5 + 12*u**4 + 14186*u**3 + 67636500*u? 1620*u**3 + 144*u**2 + 85116*u Differentiate -2*l*n*s + 662785*l*n + 178*l*s + 2*n + 16*s - 1 wrt n. -2*l*s + 662785*l + 2 Find the third derivative of 200236171*q**3 + 333377765*q**2. 1201417026 What is the second derivative of 49758213*a*r**2 - 8*a*r + 407239*a wrt r? 99516426*a What is the third derivative of -22155*k**3*n**3*y**2 - 20*k**3*n - 2*k**3*y**3 - 7*k*n**2*y + 2376*n**3*y**3 - 3768*n**2*y - 2*n*y**3 wrt n? -132930*k**3*y**2 + 14256*y**3 What is the third derivative of 1191*q**6 + 35244*q**4 + q**2 - 27166271*q? 142920*q**3 + 845856*q What is the second derivative of -14339*v**2*w**2 + 77*v**2*w + 27*v*w**2 - w**2 - 1914*w wrt w? -28678*v**2 + 54*v - 2 Find the third derivative of 356093697*n**3 + 17*n**2 - 254116*n + 10 wrt n. 2136562182 What is the second derivative of 12391787*w**3 + 6053062*w wrt w? 74350722*w What is the second derivative of 98208062*x**2 + 84094580*x? 196416124 What is the second derivative of 125*c*z**3 - 4*c*z**
{ "pile_set_name": "DM Mathematics" }
) -4/9 What is (13/(221/(-34)))/(9 + -3)? -1/3 What is (4/(-6))/(38/12 + -3)? -4 What is the value of -14*(-18)/240 + (-102)/136? 3/10 What is 10*((-20740)/4600 + 63/14)? -2/23 Calculate (-10)/(-11) + (-68796)/3003. -22 ((-80)/(-60))/(34/(-918)) -36 Calculate ((-7)/(-63))/(1*25/(-30)). -2/15 (13 + -10)*(-4)/12 -1 Evaluate -12 - (-26 + -14)/4. -2 What is the value of 297/(-1782) - (-2 + (-4)/(-3))? 1/2 (20/(-14))/(3312/2898) -5/4 Calculate ((-42)/9)/(((-5520)/72)/(-23)). -7/5 (0 + -7)*5*120/(-1050) 4 (-482)/2169 + 35/36 3/4 What is (2 - 2) + -17 + (-396 - -401)? -12 4/(-15) + (-33930)/(-675) + -69 -19 Evaluate (6 - -7) + ((-408)/3)/(-17). 21 ((-353)/353)/(2*(-3)/174) 29 Evaluate (3/13)/((-45)/(-30)) - 19/39. -1/3 What is 261/3*-6*10/180? -29 Calculate (129 + -126)/(3 - 0). 1 2*3/(0 + 12) - 120/144 -1/3 What is -4*(((-1)/(-15) - (-817)/570) + 6)? -30 Calculate -3 + 1 + ((-55)/(-29) - (-5 + 5)). -3/29 What is ((-3)/2)/((-27)/(-135) - 262/(-40))? -2/9 (25/10 - 4)*(-57 - -77) -30 -32 - (24 + -25 - 31) 0 (12/27)/(130/(-39))*(-11 + 5) 4/5 (-4)/(-7)*1/3*(-30)/160 -1/28 What is the value of ((-300)/(-750))/(9*(-1)/(-5))? 2/9 Evaluate (-54)/1242 + 3162/(-276). -23/2 Evaluate 182/(-23) + 4 + 52/13. 2/23 What is (-4)/(-42)*((-255)/68 + 6)? 3/14 Calculate 475 + -485 - (18 + 1)*-1. 9 Evaluate (42/(-2))/(-3)*3/(-6). -7/2 What is 24/(-45)*1*((-4700)/(-40))/(-47)? 4/3 Calculate 6 + 1 - (130/25 + (-11)/(-5)). -2/5 What is the value of (-210)/14 - (-2294)/124? 7/2 Calculate 47/(-94) - ((-464)/80)/(4/10). 14 What is (806/(-78) + 10)/((-2)/6)? 1 (2 + 0 + -2)/(-156 + 157) + 36 36 Evaluate ((-44)/(-3) - -4)*(-2)/72*3. -14/9 What is the value of 4*5*(132/(-1430))/(-6)? 4/13 Evaluate (1/2*9 - 618/618)*6. 21 Evaluate 15/(-72) + 42/(-252). -3/8 What is (-242)/(-48) + -1 + (-9 - (8 + -13))? 1/24 What is the value of (-62)/(-6) + -12 + 2 - 3? -8/3 What is the value of (-3 + -1)/(((-7917)/63)/(-13) + -11)? 3 (0 - (-6)/(-60))*(74 - 66) -4/5 ((-143)/(-65))/(-11) - 2/((-30)/(-27)) -2 What is the value of (-2 - -4)/(((-28)/112)/(26/(-32)))? 13/2 What is (4/1)/(80/(-320)*8/(-10))? 20 Evaluate (-6)/44*((-40)/(-960) + 9/(-24)). 1/22 Evaluate 3392/(-264) - -13 - 10/(-55). 1/3 Evaluate (27 - 2236/78)*(-11 - -2). 15 Calculate (-4)/(-13)*260/40 + 240/(-124). 2/31 Calculate 9 + (-247)/78 + 2/12. 6 What is the value of (-15 + 16)*((-27)/(-6) + -4)? 1/2 (60/(-210))/(1/(-7))*(-16)/(-2) 16 (190/209)/(6/198) 30 What is (-1134)/90 - (3 - 16)? 2/5 Calculate (21/105)/((1/4)/(30/8)). 3 Evaluate (10/3)/((-330)/(-20) - 16)*-3. -20 1827/(-73) - (-742)/27083 -25 Evaluate (2/4)/(69/846) - 2*3. 3/23 (-27)/(324/24) - -7 5 Calculate (-27)/15 + 13536/(-4230). -5 (-1)/(-4) + 882/(-1512) -1/3 What is (-12)/(-2) - 1*(10 + -10 + 13)? -7 Evaluate 200/(-6) - (-1714 - -1684). -10/3 Evaluate (1/(-5) + 1)*1410/(-21996). -2/39 Evaluate (-875)/1050*6/(-5). 1 Evaluate (5 + 28)/((-33)/(-22)*1). 22 Evaluate ((-45)/(-10))/9*-6*(-11)/33. 1 Evaluate (-105)/6 + -15 + 406/28. -18 What is the value of (-29 + 44)*-8*7/(-84)? 10 Calculate (-3)/60 - 18437/2060. -9 What is the value of 48901/24760 + -1 + -1? -1/40 What is -1 + -3 - (32/10 - (-84)/(-70))? -6 Evaluate 8/(-140)*-1*(-20 + 27). 2/5 Evaluate (-8680)/496*((-4)/6)/(1/(-3)). -35 Evaluate (45/4*(-1)/(-3))/(221/884). 15 What is the value of (1 + -10)*((-2)/(-6))/((-29)/(-87))? -9 What is 147/72 - 2 - (-345)/11592? 1/14 Calculate (290/80 + -3)*(40 + -16). 15 (49/28)/(60/(-48)) -7/5 3/(-15)*-28 - 91/(-65) 7 ((-110)/(-10))/(23/46) 22 Calculate (-7)/(126/27) + 77/14. 4 Calculate (-91 - -72)*(-1 - (2 - 4)). -19 What is (4290/780)/(1/(-6))? -33 Evaluate (-8)/(-2816)*160*(-18)/(-15). 6/11 What is (60/(-9))/((-6)/(-9))? -10 What is the value of 8 - (-25 - (-1092)/35)? 9/5 Evaluate (-4 - 1/(5/(-10)))/(-75). 2/75 What is the value of (-144)/40*(-6)/(-27)? -4/5 What is (-4)/8*(-5 - (-11 + 1))? -5/2 -4*((-15)/(-42) + 31/(-62)) 4/7 What is the value of 10/126 + 17/3570*30? 2/9 ((-2)/(-12)*(-2)/2)/(27467/(-1153614)) 7 Calculate (1145/458)/((-15)/108). -18 Calculate (-42)/7 - (1 - (-3 - -10)). 0 14/(-35)*11*40/(-16) 11 Calculate ((-95)/12 + 8)*60. 5 (-42)/(-84)*9/(-18) -1/4 What is the value of (-3213)/1428*(-14)/(-18)? -7/4 Evaluate 4*(-19)/8 - -9. -1/2 Calculate (226/(-452))/(14/60 - 1/3). 5 What is (-15)/(3/(-3)) + (57 - 60)? 12 (-3 - 86/(-28))/(180/2520) 1 Calculate (-4)/9 + (2142/(-351) + 5)/(-3). -1/13 Evaluate (174/(-290)*(-20)/3)/((-4)/(-5)). 5 (1 - 5/((-25)/(-8)))*-5 3 Evaluate (-35)/14*(0 + (-18)/15) - -1. 4 What is 2/(-6)*((-324)/(-48))/3? -3/4 Calculate (((-14)/(-35))/(42/(-570)))/((-12)/42). 19 What is (-4 - ((-640)/(-25))/(2*-3))*5? 4/3 Calculate (-31 - -5) + 24 + -18. -20 Calculate (12/(-195))/(636/53*4/(-40)). 2/39 1/(90/(-2066)) + (-5714)/128565 -23 What is the value of 32 - -1 - 23850/720? -1/8 Evaluate ((-171)/27 - (-1)/3) + (5 - 8). -9 Evaluate (-874)/5796 - (-8)/36. 1/14 Evaluate ((-6)/7 + 0)/(-5941 - -5944). -2/7 Calculate 9*54/(-1215) + (-43)/5*1. -9 What is the value of 1216/144 + 2/(-18)*4? 8 Evaluate ((-87 - -20) + 42)*(-4)/(-10). -10 Evaluate 2608/(-96) - ((-6)/30 + 3/90). -27 What is the value of (-3 - 31/(-10)) + (-51)/102? -2/5 Calculate (-10325)/(-4425) - 1/21. 16/7 Evaluate (-15)/150 + 1251/(-90). -14 Evaluate 7/(1617/679) + -3. -2/33 What is the value of 240/(-22) - (346 + -356)? -10/11 Evaluate 6*(-5 + (-808)/(-162)). -2/27 Calculate (33*6/270)/((-155)/15 - -10). -11/5 What is the value of (216/(-9072))/((-2)/(-24))? -2/7 Evaluate (5/8 - -2)/(10/(140/21)). 7/4 What is (-4 - (4 - (1 + 0))) + 1220/183? -1/3 Calculate 5 - (-34 + -33 + 69). 3 What is the value of 3 + ((-210)/(-98) - 4)? 8/7 What is 20 - (17 + -1) - -10? 14 What is the value of 2*(-3)/10 + (-16413)/(-27355)? 0 What is the value of 27 - (-1036)/(-37) - (5 - (1 - 1))? -6 17/(-8) - -2 - 643/(-1286) 3/8 What is ((-40)/8 - (-3135)/(-66))*(-4)/(-6)? -35 What is the value of -4 + 9 + (-6240)/(-696) - 14? -1/29 What is the value of (1755/18)/(-15) + (15/2 - 4)? -3 What is the value of 6 + (-57)/10 + 9/(-27)? -1/30 Calculate ((-124)/(-155) + 48/(-10))/(1 - 0). -4 What is the value of 39440/2822 - (4 - 18)*-1? -2/83 What is the value of (1/(11/(-12)))/(2*(-14)/154)? 6 What is the value of (-1881)/(-12540) - (-297)/20? 15 Evaluate (-34)/11 - 1 - 68/(-153)*9. -1/11 What is (-4 - -13)*(-208)/192 - -3? -27/4 Evaluate (29 - 31) + (-126)/(-66). -1/11 What is the value of (-1 - 0) + (38/35 - (-424)/(-530))? -5/7 What is 5 + -64*5/70 + 0? 3/7 Evaluate 12834/3348*(-8)/(-92). 1/3 9/(((-5985)/(-5))/21) 3/19 What is (-234)/34 + (-4)/(1224/9)*4? -7 What is -22 + 6868/255 + (0 - (-28)/(-12))? 13/5 -11 - (27 - 16335/432) -3/16 (55499/1235 - 45)/((-6)/5) 2/39 What is the value of ((-70)/(-15))/(-6 + 725/150)? -4 What is (4/(-5))/((2/56)/((-2050)/1640))? 28 -1 + (-15)/6*(-2412)/335 17 -95*1/(-5) - (-12 + 13) 18 Evaluate 171700/143016 + (-2)/59. 7/6 (88/(-726))/(84/(-385)) 5/9 Evaluate (-35)/6860*-49 - 1/(-4)*107. 27 2/2*(-120)/130 - (-2)/2 1/13 What is the value of ((-32)/(-112))/((-88)/14)? -1/22 Evaluate 2291/5742 + (-8)/18. -1/22 Evaluate 100 + -79 + (7 - 18). 10 Calculate (-387)/(-21) + (-2193)/129. 10/7 Calculate ((25/(-10))/(-1)*(-28)/35)/(-9). 2/9 (-56)/8 + 4/(-5) + 4/(-20) -8 What is (0 - 1)/((-15)/240*-72)? -2/9 What is the value of 10/((-1)/10*(-60 + -30)/18)? 20 Evaluate 8/5 + -15 + -4 + 21496/1240. -2/31 Calculate -6 - 0 - 26660/(-4495). -2/29 What is the value of (-2135)/2975 - (-9 + 336/40)? -2/17 Calculate 570/(-10868)*-77 - (16/(-2))/(-2). 1/26 Calculate (-13)/(-12)*6/78. 1/12 What is 3432/247 - (3 - (-59)/(-19))? 14 What is the value of 4/6*((-6666)/33660 - 2/30)? -3/17 Calculate (6/18)/(2/(-8)). -4/3 -8*(-3)/(-66) + 1298/242 5 Calculate 10658/(-511) - (5 - 1)/28. -21 What is (1 - -9) + 2091/(-204)? -1/4 (-2)/(-36)*3*-25*(-45)/(-150) -5/4 Calculate (96/64)/(6/(-48)). -12 Evaluate (-3*5)/(-3)*8*11/(-792). -5/9 Calculate ((-6)/(-4))/(750/(-625)). -5/4 Calculate 1/((-333)/54 + 6). -6 Evaluate (-112)/(-64) - 147/28. -7/2 Evaluate ((-9 - -12)/((-18)/(-24)))/30. 2/15 Calculate (2 + -2)/(69/69) - 12/(-5). 12/5 What is the value of 12 - 14/((-12)/(-6)) - (-781)/(-165)? 4/15 Calculate -3*-1*((-3)/((-18)/(-12)))/(-14). 3/7 What is the value of ((-2650)/270)/(-5) + 18/486? 2 ((-380)/8)/((-1110)/(-444)) -1
{ "pile_set_name": "DM Mathematics" }
+ p**2 - p**2. 3*p**4 Let m(c) = 3*c**3 - 2*c**2 - 5*c + 4. Let s be m(3). Determine z so that 47*z**4 + s*z + 16 + 292*z**2 + 60*z + 8*z + 258*z**3 + 23*z**4 = 0. -2, -1, -2/5, -2/7 Let l(p) be the second derivative of -p**7/4620 + p**6/990 - p**5/660 - 2*p**3/3 + 2*p. Let t(k) be the second derivative of l(k). Let t(b) = 0. Calculate b. 0, 1 Suppose k = -0 + 6. Suppose -2*v + 10 = 0, 5*l - 4*v = -9*v + 65. Factor 4*i - l*i**2 + 1 + 3 - 2*i - k*i**3. -2*(i + 1)**2*(3*i - 2) Let -16/7*j - 96/7*j**2 - 44/7*j**3 + 0 = 0. What is j? -2, -2/11, 0 Suppose -4 = -6*l + 8. Let d(n) be the first derivative of l + 3*n**2 + 4*n + 2/3*n**3. Factor d(s). 2*(s + 1)*(s + 2) Let l(y) be the first derivative of -1/3*y**3 - y**2 + 2 + 0*y - 1/6*y**4 - 1/30*y**5. Let v(i) be the second derivative of l(i). Factor v(r). -2*(r + 1)**2 Let n(v) be the second derivative of 3*v**5/50 + v**4/30 - 2*v**3/15 + 7*v. Find y such that n(y) = 0. -1, 0, 2/3 Let w be 3 + 0*3/(-6). What is t in 4 + 13*t**2 - 4 + w*t - t**2 = 0? -1/4, 0 Let z(y) be the second derivative of 1/27*y**3 - 1/27*y**4 + 1/9*y**2 + 1/189*y**7 + 1/135*y**6 - 1/45*y**5 + 7*y + 0. Factor z(h). 2*(h - 1)**2*(h + 1)**3/9 Find u, given that -4/3*u**3 + 4/3 + 4*u**2 - 4*u = 0. 1 Let h be (-636)/(-54) + (-2)/(-9). Suppose g + h = 5*g. What is a in 1/3 + 2*a**2 + 4/3*a + 1/3*a**4 + 4/3*a**g = 0? -1 Let u(p) be the third derivative of p**5/60 + p**4/12 - 4*p**3/3 + 4*p**2. Factor u(h). (h - 2)*(h + 4) Find t, given that 0 - 32/5*t + 4/5*t**4 + 48/5*t**2 - 24/5*t**3 = 0. 0, 2 Let b = -13 + 17. Suppose -3*s - 5*y + b = 0, s - y + 3*y - 1 = 0. Factor -4/9 + 4/9*i**2 - 2/9*i**s + 2/9*i. -2*(i - 2)*(i - 1)*(i + 1)/9 Let j(s) be the first derivative of s**4/6 - 2*s**3/9 - 23. Let j(t) = 0. Calculate t. 0, 1 Let n be 0 + (0 - 198/15). Let m = n + 14. Determine w so that 2/5 - m*w**2 - 7/5*w = 0. -2, 1/4 Let o(u) be the second derivative of -2*u**6/15 - 7*u**5/20 + u**4/6 + 2*u - 1. Factor o(x). -x**2*(x + 2)*(4*x - 1) Suppose -3*y - 4 = -4. Let m(b) be the second derivative of b - 1/3*b**2 + 0 + y*b**3 + 1/18*b**4. Factor m(h). 2*(h - 1)*(h + 1)/3 Suppose u**2 - 5*u**2 + 4*u + 4*u = 0. Calculate u. 0, 2 Let m = -83 - -88. Let c(o) be the second derivative of -1/24*o**3 + 1/80*o**m + 0 + 0*o**2 + 2*o + 0*o**4. Factor c(w). w*(w - 1)*(w + 1)/4 Let x(u) be the second derivative of u**4/30 - 8*u**3/15 + 16*u**2/5 - 11*u. Factor x(l). 2*(l - 4)**2/5 Let y(d) be the second derivative of 1/5*d**5 + 0*d**4 + 1/15*d**6 - 7*d + 0 - 2/3*d**3 - d**2. Factor y(s). 2*(s - 1)*(s + 1)**3 Let y(j) be the second derivative of j**6/15 - 16*j**4/3 + 256*j**2 - 2*j. Solve y(c) = 0. -4, 4 Let t be (9/12)/(6/16). Factor -4*o**2 + 12*o**t - 6*o**2 + 9*o**3. o**2*(9*o + 2) Let i = 258 + -240. Let 27/4*a**5 - i*a**4 + 3*a**3 - 39/4*a + 3/2 + 33/2*a**2 = 0. Calculate a. -1, 1/3, 1, 2 Let s(g) be the third derivative of -g**8/336 + g**6/120 - 3*g**2. Factor s(v). -v**3*(v - 1)*(v + 1) Let q = 564 + -562. Factor 0 - 3/5*b**q + 6/5*b - 6/5*b**3 + 3/5*b**4. 3*b*(b - 2)*(b - 1)*(b + 1)/5 Let c(u) be the third derivative of u**8/336 + u**7/210 - u**6/24 + u**5/20 - 19*u**2. Find b, given that c(b) = 0. -3, 0, 1 Factor 4*c**2 + 87*c**5 + 0*c**2 - 88*c**5 - 6*c**3 + 4*c**4 - c. -c*(c - 1)**4 Let q be ((-2)/(-6))/((-28)/(-56)). Factor 2/3*y**3 - 1/3 + 0*y**2 + 1/3*y**4 - q*y. (y - 1)*(y + 1)**3/3 Suppose 21*s - 20 = 11*s. Let -2*i - 2/3*i**3 + 2/3 + s*i**2 = 0. Calculate i. 1 Let g(r) be the first derivative of -r**6/12 + r**4/4 - r**2/4 - 8. Suppose g(n) = 0. Calculate n. -1, 0, 1 Let p(w) be the first derivative of -2*w**3/51 + 7*w**2/17 - 30. Suppose p(y) = 0. Calculate y. 0, 7 Suppose -6*r + 5 = -13. Let x be r/(-42) - 4/(-7). Factor 1/4*t**3 + 0 + x*t + 3/4*t**2. t*(t + 1)*(t + 2)/4 Suppose -2*n - 3*b = -20, -n + 4*b = 3*b. Determine g so that 0*g**5 - n*g**3 + 2*g**2 + 4*g**5 - 4*g**4 + 3*g**2 - g**2 = 0. -1, 0, 1 Let s be 2/(-4) + 3/6. Let n(r) be the second derivative of -3/40*r**5 + 2*r + 0 + s*r**2 + 1/8*r**4 - 1/12*r**3 + 1/60*r**6. Factor n(m). m*(m - 1)**3/2 Let a(p) be the second derivative of 0*p**3 + 2/3*p**7 + 0 + 0*p**4 + 0*p**2 + 6*p + 1/2*p**6 + 1/10*p**5. Let a(k) = 0. What is k? -2/7, -1/4, 0 Let s = 523/9 + -58. Let c(u) be the first derivative of -2/27*u**3 + s*u**2 + 3 + 2/9*u - 1/18*u**4. Factor c(w). -2*(w - 1)*(w + 1)**2/9 Let r(z) = -z**2 + z + 1. Let l(s) = s**4 + s**3 - 5*s**2 + 3*s + 4. Let b = -11 - -8. Let n(x) = b*l(x) + 12*r(x). Determine u so that n(u) = 0. -1, 0, 1 Let i(t) be the first derivative of -t**3/2 - 3*t**2/2 - 3*t/2 - 11. Determine q so that i(q) = 0. -1 Let b be ((-1)/48)/((-5)/10). Let a(z) be the second derivative of 0 + z**2 + 2*z + b*z**4 - 1/3*z**3. Factor a(u). (u - 2)**2/2 Let b(g) be the second derivative of g + 0*g**2 + 0 - 1/42*g**4 - 2/21*g**3. Factor b(h). -2*h*(h + 2)/7 Let r(u) = -u**2 - 6*u + 5. Let m be r(-6). Suppose 2*v - 7 + 0 = -m*b, 5*v + 17 = -b. Find p such that -b*p**3 - p**3 + 4*p**2 - 2*p**2 + 2*p**4 + 0*p**3 = 0. 0, 1 Let t(m) = -14*m**3 + 61*m**2 + 36*m - 50. Let s(l) = -3*l**3 + 12*l**2 + 7*l - 10. Let h(z) = 11*s(z) - 2*t(z). Factor h(d). -5*(d - 2)*(d - 1)*(d + 1) Let f(q) be the third derivative of -q**7/840 - q**6/120 + 2*q**3/3 + 5*q**2. Let z(r) be the first derivative of f(r). Factor z(g). -g**2*(g + 3) Let g(v) = v + 14. Let p be g(-11). Suppose 1 = 2*f - p. What is z in 2 - 2*z**2 - 6*z - 4 - f + 0*z**2 = 0? -2, -1 Let z = -51/2 - -26. Let w = 384 - 382. Factor 1/4*g**3 + z - 1/4*g - 1/2*g**w. (g - 2)*(g - 1)*(g + 1)/4 Let b = 6 - 4. Let t be 7/4 + (-1)/(-4). Let 2*k**b - t*k**2 - 3*k**2 - 1 + 4*k = 0. What is k? 1/3, 1 Let z(n) be the third derivative of -n**7/350 - n**6/40 - 9*n**5/100 - 7*n**4/40 - n**3/5 - 7*n**2. Find h such that z(h) = 0. -2, -1 Let k(w) = -w**3 - 5*w**2 + 4*w - 7. Let d be k(-6). Let n(m) = m**2 - 5*m + 2. Let a be n(d). Suppose 2*s**3 + 2*s**a - 4*s**2 + 0*s**3 = 0. Calculate s. 0, 1 Let c = 959/110 - 109/10. Let g = 212/77 + c. Factor 2/7*y**2 + 6/7*y + g. 2*(y + 1)*(y + 2)/7 Let n(y) be the third derivative of y**7/70 - 29*y**6/120 + 21*y**5/20 + 15*y**4/8 - 25*y**3/3 - 13*y**2. Solve n(g) = 0. -1, 2/3, 5 Let q(g) be the third derivative of -g**7/42 + g**6/12 + g**5/3 - 5*g**4/3 + 38*g**2. Factor q(y). -5*y*(y - 2)**2*(y + 2) Let x(c) = -c**3 - c**2 - c - 1. Let g(r) = -3*r**2 + 2. Let n(v) = g(v) + 2*x(v). Factor n(h). -h*(h + 2)*(2*h + 1) Let z(x) = -4*x**4 + 12*x**3 + 8*x**2 + 6*x. Let b(w) = 11*w**2 - 18*w**2 + w + w**3 + 8*w**2 - w**4. Let f(p) = 14*b(p) - 2*z(p). Factor f(n). -2*n*(n + 1)**2*(3*n - 1) Let o = 18 + -14. Suppose 12*j - 14*j = -o. Factor 1/2*n**j + 1/2 - n. (n - 1)**2/2 Factor 0*h**4 + 0*h + 0*h**2 + 1/3*h**3 + 0 - 1/3*h**5. -h**3*(h - 1)*(h + 1)/3 Suppose 971 - 991 = -5*x. Factor 1/6*f**x + 1/6*f**3 + 0 + 0*f + 0*f**2. f**3*(f + 1)/6 Let t(l) be the first derivative of 1 + 0*l**2 - 6/25*l**5 + 0*l - 1/2*l**4 - 4/15*l**3. Suppose t(i) = 0. Calculate i. -1, -2/3, 0 Factor -2*j + 24*j**3 + 3*j - 2*j**2 - 23*j**3. j*(j - 1)**2 Suppose 2*o + 24 = 2*v - 12, -3*v + 86 = -5*o. Let t be 2/4*o/(-2). What is c in -1/2 + 21/4*c**5 + 11/2*c**2 - 6*c**3 - 5*c**t + 3/4*c = 0? -1, -1/3, 2/7, 1 Let k(f) = -f**3 + 15*f**2 - 52*f - 24. Let b be k(7). Suppose 0*q + 0 + 0*q**2 + 1/2*q**b + 0*q**3 = 0. What is q? 0 Let q(c) be the second derivative of c**7/4200 - c**6/400 + c**5/100 - c**4/6 + 5*c. Let d(u) be the third derivative of q(u). Factor d(g). 3*(g - 2)*(g - 1)/5 Let g(k) be the third derivative of k**8/30240 - k**7/11340 - k**6/3240 + k**5/540 - k**4/4 - 2*k**2. Let q(r) be the second derivative of g(r). Solve q(o) = 0. -1, 1 Let t(j) be the third derivative of -1/4*j**5 - 2*j**3 + 0 + j**4 + 0*j - 8*j**2 + 1/40*j**6. Factor t(f). 3*(f - 2)**2*(f - 1) Let m(b) be the second derivative of -3*b**5/20 - b**4/4 + b**3/2 + 3*b**2/2 + 13*b. Let m(i) = 0. Calculate i. -1, 1 Let j(t) = -5*t**3 - 8*t**2 - t - 2. Let r(w) = -5 + 5 - 3*w**2 - w + 4*w**2 + w**3. Let l(x) = j(x) + 4*r(x). Factor l(n). -(n + 1)**2*(n + 2) Let u = 2 - -7. Let f(a) = 11*a**4 + 4*a**3 - 2*a**2 - 13*a. Let n(g) = 5*g**4 + 2*g**3 - g**2 - 6*g. Let p(c) = u*n(c) - 4*f(c). Factor p(h). h*(h - 1)*(h + 1)*(h + 2) Let i(a) be the second derivative of 0*a**5 + 0*a**2 +
{ "pile_set_name": "DM Mathematics" }
4/7)/((x/(x/((x*x/(x*x**(4/11)*x*x))/x)))/(x*x**(-8))))**(3/7) assuming x is positive. x**(-8685/3773) Simplify (d**(-8/5)/d)**5/((d*(d/(d**(-3/4)/d))/d)/(d/((d*d/(d/d**19))/d))) assuming d is positive. d**(-135/4) Simplify ((p/(p**2/p)*p*p)**(8/5)/((p*p*p**(-7))/(p*p**(1/4)*p)))**(1/6) assuming p is positive. p**(209/120) Simplify (a*a**3*a)**(-17)*a**(-1)/(a*a**9) assuming a is positive. a**(-96) Simplify ((f/f**(-2/3))**(-42)/(f*f**(-4)*f*f/f**(-6)))**(-5) assuming f is positive. f**375 Simplify (m**15/m**(5/7))/(((m/m**(-1)*m)/m)/(m*(m*m*m**15*m*m)/m)) assuming m is positive. m**(219/7) Simplify c/(c*c*c*(c**25/c)/c*c*c)*c*(c*c**(8/3))/c*(c/c**(8/9))**(-23) assuming c is positive. c**(-233/9) Simplify (y/y**(-9/7))/(y**(-6)*y)*((y*y/(y/(y/(y/(y/((y*y**(3/11))/y*y))))*y))/y)/y**3 assuming y is positive. y**(232/77) Simplify (t*t/t**16*t)/t**(-1/3)*t**12/t*t*t**(-1/5)*t assuming t is positive. t**(2/15) Simplify (r**(-23)/r)**(3/5)*(r/(r*r**(5/3)))**(-3/5) assuming r is positive. r**(-67/5) Simplify (w**(-2)*(w*w**(-6))/w*(w**(-4)/w)/w**2)**(-43) assuming w is positive. w**645 Simplify q**10/(q**(-6)*q)*(q**(-6))**19 assuming q is positive. q**(-99) Simplify (x**(-6)/(x*x*x**(-16)*x))/((x**(2/13)/x*x)/x)**42 assuming x is positive. x**(553/13) Simplify (((b*b**(1/3))/b)/b*b*b**(-2/23)*b)/(b*b**(-15)*b*b/b**(9/4)) assuming b is positive. b**(4277/276) Simplify ((q**(-1/13)/q)/q**(-10/9)*(q/q**(1/5))**(4/7))**13 assuming q is positive. q**(2012/315) Simplify ((i**(-7)/i)/i)/(i**(-3/10)*i)*i*(i*((i/(i**(-1/11)/i))/i)/i)/i*i*i**(-9/5)*i assuming i is positive. i**(-185/22) Simplify (z**(-19/4)/(z*z*z**(1/5)))/(z**7/z)**(-21/2) assuming z is positive. z**(1121/20) Simplify (n/n**1)**39/((n/(n**(-7)/n))/n**22) assuming n is positive. n**13 Simplify (a/(a*a**(-6))*a)**(-7/2)*a**(-3/7)/a**18 assuming a is positive. a**(-601/14) Simplify (w*w/w**(-8))/(w/w**(-1/6))*(w/(w**(-2/17)/w))/(w**(6/11)/w) assuming w is positive. w**(12797/1122) Simplify (((s/(s**(2/5)*s))/s*((s**(-1/4)/s)/s)/s)/((s**(-3)*s)/((((s**(3/5)/s*s*s)/s*s)/s)/s)))**(-16) assuming s is positive. s**(244/5) Simplify (v**23*v**25)/((v*v/(v/((v/v**(-2/29))/v)))/v*(v/(v**(-1/23)*v))/v) assuming v is positive. v**(32608/667) Simplify (l**(3/2)*l**21*l)**(-1/33) assuming l is positive. l**(-47/66) Simplify (x/x**3)/(x/(x/x**(1/3)))*x/((x*x*x*x**(-5/6))/x)*x**(2/57)/x assuming x is positive. x**(-395/114) Simplify (j*(j*j**(2/13)/j)/j)/j*j*j*j**1/j*(j/j**(2/9))**(-11) assuming j is positive. j**(-866/117) Simplify (((x**(-2/25)/x)/(x/x**(-6)))**9)**9 assuming x is positive. x**(-16362/25) Simplify (f*f**(3/5)*f*f**(-3/5)*f**(-7)/f**(-3))**(2/73) assuming f is positive. f**(-4/73) Simplify d*d**14*d**(-5)*((d*d*d**(-1/7))/d*d)**39 assuming d is positive. d**(577/7) Simplify ((d**(-3/5)/d)**(-4/35)/((d/(d/((d*(d*(d*d**(-2)*d*d)/d*d*d)/d)/d))*d)/d)**(-24))**20 assuming d is positive. d**(33728/35) Simplify ((u**(-5/6))**(3/7))**(-31) assuming u is positive. u**(155/14) Simplify (g**(-11)/g**9)/(g**(-4)/g)**(4/7) assuming g is positive. g**(-120/7) Simplify ((a**(-18)*a**19*a*a)**(-11))**10 assuming a is positive. a**(-330) Simplify ((((z/z**17)/z)/z*z**(5/4)/z)**(-2/5))**(-3/7) assuming z is positive. z**(-213/70) Simplify (k/(k/k**9)*k**(5/7)*((k/k**(-1/5))/k)**(1/47))**(26/3) assuming k is positive. k**(138554/1645) Simplify (q**(2/7))**31*(q**2)**(-1/15) assuming q is positive. q**(916/105) Simplify (d**(-3))**25/(d*d*d/(d/((d/(d*d**14))/d))*((d*d/(d/d**(-2/11)))/d)/d) assuming d is positive. d**(-669/11) Simplify (r/r**(-4)*r**(-6))/(r**(2/7))**28 assuming r is positive. r**(-9) Simplify ((o/(o*o/(o/o**(-1/10))))/o)**(-2)*o*(o*o**(-4)*o)/o*o/(o**(-8)/o) assuming o is positive. o**(49/5) Simplify ((g**(2/17)/g*g)/g**(-2/27))/(g*g**(-13)*g*(((g*g**(-2))/g)/g)/g) assuming g is positive. g**(6973/459) Simplify ((n*n**(17/5)*n)/(n/(n*n**(3/4))))/((n*n*((n**(-12)*n*n*n)/n)/n)/((n*n/n**(9/5))/n)) assuming n is positive. n**(287/20) Simplify (m**(3/8)/(m*m/(m/(m/(((m**(-5)*m)/m*m*m)/m))))*(m*m**1*m)**(-14/13))**(15/4) assuming m is positive. m**(-13815/416) Simplify (l*l**2)**17*(l*l/l**11)/l**4 assuming l is positive. l**38 Simplify (h**(1/4)/h)**0*(h*h**(5/2)*h)**(-4/35) assuming h is positive. h**(-18/35) Simplify (((g/g**(-3)*g)/g)/g**(-7/4))/(g**19/(g*g**2)) assuming g is positive. g**(-41/4) Simplify (h*h**(4/9))**(-5)*h**(-19)/(h*h/(h**(4/17)/h)) assuming h is positive. h**(-4435/153) Simplify ((i**(1/4))**(1/12)/(i/(i*i*i*i**(-2)*i)*i*i/(i**5*i)))**11 assuming i is positive. i**(2651/48) Simplify ((g*g**(-5)/g)/(g*g/(g*g/g**(2/11)*g))*(g**(-1))**(-6))**(2/15) assuming g is positive. g**(8/33) Simplify ((j**8*j**(-6))**(-3/14))**(3/16) assuming j is positive. j**(-9/112) Simplify (b**(-3)*b)**(-30)*(b**(-5)/b)**9 assuming b is positive. b**6 Simplify (r*(r*r/r**(-5/4))/r*r)**(-21)/((r/(r/r**(28/3)*r))/((r**(-26)*r)/r)) assuming r is positive. r**(-1483/12) Simplify (d*d**1)/(d/(((d*d**5/d)/d)/d))*d**(1/2)/d*d*d*d**(-1/5) assuming d is positive. d**(53/10) Simplify (g*(g**(-1/3)*g)/g)**(-6/11)*g/(g*g*g/g**(-7)*g*g)*g**(-4/7) assuming g is positive. g**(-919/77) Simplify (z/((z/z**8)/z)*z*z)**(-25)*((z*z**(-7)*z)/z*z)/(z*z*z**(1/21)) assuming z is positive. z**(-5923/21) Simplify ((v*v**13)**(-5))**(-2/31) assuming v is positive. v**(140/31) Simplify (c**(-6/13))**0*((c/(c**21*c))/c)**(-8/3) assuming c is positive. c**(176/3) Simplify p**(-1/9)/(p*(p/((p**(-12)/p)/p*p))/p)*p**33/p*(p**(-19)*p)/p assuming p is positive. p**(-10/9) Simplify ((w**(-3))**14/(w**3/(w**2*w*w*w)))**(9/4) assuming w is positive. w**(-90) Simplify (u**(-9))**(-14)/((u/u**(-3/5))/(u*u/u**(-16))) assuming u is positive. u**(712/5) Simplify ((k/((k*(k**14/k)/k)/k))/k)/(k**(-6/13)/k)*k**(-7)*k*k**(-1/25) assuming k is positive. k**(-5388/325) Simplify (r*(r**2*r)/r)**(-37/3)*r/((r/(r*r**(-10/3)/r))/r*r)*r**(-1) assuming r is positive. r**(-124/3) Simplify h*(h**(-10)/h)/h*(h*h**16)/h*((((h**(7/4)*h)/h)/h)/h)/(h*h**26) assuming h is positive. h**(-89/4) Simplify (d**(2/11)/d**21)/(d**2*d**(2/25)) assuming d is positive. d**(-6297/275) Simplify ((c**(-3/5))**3*(c*c/(c/(c/c**1)))**(8/3))**(26/3) assuming c is positive. c**(338/45) Simplify ((v/v**(-4))/(v/v**(-3)*v))/(v*v**(-4/3)/v*v**(-3/16)) assuming v is positive. v**(73/48) Simplify r**15*r**(-9)*(r/(r*r**(-20)*r))/(r*r*r**20*r*r*r*r) assuming r is positive. 1/r Simplify (n**(-7)/(n*n**(-1/25)))**(-42) assuming n is positive. n**(8358/25) Simplify (k/k**(-3))**(-39)*k**(-2/3)*k/k**(-8) assuming k is positive. k**(-443/3) Simplify v**14*v/v**13*(v**(-6)*v)/v**(-1) assuming v is positive. v**(-2) Simplify (((c*c*c/(c*c*c*(c/(c/(c*((c**(-2/7)/c)/c)/c)))/c*c))**(-13))**(2/3))**15 assuming c is positive. c**(-2080/7) Simplify i**(6/11)/i**(1/20)*(i**(-1/20)*i*i)/i**(-1) assuming i is positive. i**(379/110) Simplify (m**(1/4)/m*((m/(m/m**2))/m)/m*m**(-6)/((m**(-6)/m)/m))**34 assuming m is positive. m**(85/2) Simplify (((k/(k**(-2)*k))/(k/(k/k**(1/3))))/((k*k**1)/k*k)**(-18/11))**(-35) assuming k is positive. k**(-5705/33) Simplify (a*a**(-10))**(-6/23)*((a/a**(-2/15))/a)/(a*a*a**(-10)) assuming a is positive. a**(3616/345) Simplify (c**3*c)**(-4/35)/(c**(-3/2))**22 assuming c is positive. c**(1139/35) Simplify y*y/(y**(-2/29)/y)*y**(2/15)*(y/y**(-1/6)*y)**(-4/9) assuming y is positive. y**(8767/3915) Simplify ((u**2/u)/(u/((u*(u**(-2/3)/u*u)/u*u)/u))*(u/(u*(u**(-4)*u)/u))/u*u**(-6))**15 assuming u is positive. u**(-55) Simplify (n**(-9/5))**(-39)/(n/(n**23/n)*n)**(-30) assuming n is positive. n**(-2649/5) Simplify n/(n/n**(4/5))*n**(1/27)*n**(4/17)/n*n**29 assuming n is positive. n**(66721/2295) Simplify (m**14/m*m/(m**(-2/21)*m)*m)/(m*m/(m**(1/10)/m)*m*m**(-5)/m) assuming m is positive. m**(3401/210) Simplify (w**(4/17)*w/w**(1/29))/(w**(-11/3)*w**(-1/3)) assuming w is positive. w**(2564/493) Simplify (d**(-1))**13*(d**(9/5)/d)/((d*d**(-9)*d)/d) assuming d is positive. d**(-21/5) Simplify ((n**(1/9)*n**(-1/12))**46)**(-4/9) assuming n is positive. n**(-46/81) Simplify d/d**(-10/7)*d**(-31/5)*(((d**31*d)/d)/d*d*d)/d**(22/7) assuming d is positive. d**(878/35) Simplify (y*y/(y/y**4))**50*(y**(-1/4))**20 assuming y is positive. y**245 Simplify (b**(4/5)*b*b**30)**(2/23) ass
{ "pile_set_name": "DM Mathematics" }
+ 0.4. Let k = -1 - m. Suppose 4*x - 12 = -0. What is the third smallest value in -2/15, k, x? x Let t = -0.1 - -0.3. Let m = -0.3 - -0.6. Let k = m - t. What is the smallest value in k, -2, 0.3? -2 Let z = -7 - -7.12. Let d = z - 0.82. Let t = 1.1 + d. What is the third smallest value in t, -1, -2? t Let f = -89/28 + 27/14. Let n = 4.02 - 0.02. Which is the smallest value? (a) f (b) n (c) -3 c Let o = -1 + 2. Let a = -73 + 1169/16. Let h = 11/16 + a. What is the third biggest value in -2, h, o? -2 Let a = 0.04 - 0.54. What is the second biggest value in a, -3, -0.2? a Let m = 14 + -7. Let n = 4.8 + -6. Let a = n - -1. What is the biggest value in -1, m, a? m Let z be -1*((-6)/(-7) + -1). Let k = 29 + -144/5. Which is the smallest value? (a) k (b) 1/2 (c) z c Let f be (4/(-25) - 0)/((-44)/110). What is the third biggest value in f, 2/3, 4? f Let t = 22 - 24. What is the smallest value in -0.4, -1, t? t Let k be (0 + 1)/((-77)/(-187)). Let t = 16/7 - k. Which is the third smallest value? (a) t (b) 1/8 (c) -5 b Let m(j) = -j + 9. Let z be m(6). Suppose -2*x = -x - 5. Suppose -5*t + x = 30. What is the biggest value in z, t, 1/6? z Let n = 6.1 + -1.1. Let c = 7 - 7. What is the second biggest value in 0.3, c, n? 0.3 Let b = 32 + -95/3. Let w = 11 + -16. What is the smallest value in b, 0.4, w? w Let i = -4 + 4.3. Let h = 4.17 - 0.17. Which is the third smallest value? (a) i (b) h (c) -2/11 b Let v = -41 - -36. Which is the second smallest value? (a) 0.4 (b) v (c) 0.04 c Let f = 7/10 + -1/5. Let y(o) = o**2 - 10*o - 13. Let p be y(11). What is the third smallest value in f, -0.3, p? f Let n be (4 - 5)/(14/21). Which is the second smallest value? (a) 5 (b) n (c) 6/5 c Suppose 22 - 4 = -2*q. Let u be 1/(-3) + 15/q. Let l = -10 + 7. Which is the smallest value? (a) -2/13 (b) l (c) u b Let h = -3 - -4. Let i = -0.8 - -5. Let l = 4 - i. What is the second smallest value in -0.1, l, h? -0.1 Suppose 3*q + 5*w = -0*q + 22, 0 = 4*q - 4*w + 24. Let p be (3/q)/(-12)*293. Let d = 74 - p. What is the second smallest value in 3, 0.2, d? d Let t = -22 - -23. Which is the biggest value? (a) -3 (b) -1/4 (c) -0.1 (d) t d Let s = -19.1 + 19. Which is the third smallest value? (a) s (b) -3/5 (c) 0 c Suppose 2*b - 22 = -4*p, 5*p - b - 3*b - 8 = 0. Let f = -31 + 31.17. Let d = -0.37 + f. What is the second biggest value in p, 3, d? 3 Let x = -1.9 + 1.7. What is the second smallest value in 4, x, -3/4? x Let z = -62 + 64.9. Let u = 3 - z. Let k = 3 + -5. What is the second biggest value in u, -0.5, k? -0.5 Let i = -18 - -8. Let g = i + 19/2. Which is the second smallest value? (a) -10 (b) g (c) 2/3 b Let i be 2/(-8)*(-8)/(-5). Let h = 0.46 - 0.06. Let w = h + 1.6. Which is the third biggest value? (a) i (b) -0.3 (c) w a Suppose -3*r + 8 = -4*p + r, 5*r + 10 = p. Let s be (-2)/((9/(-6))/(-3)). Let m be 1/s + 1/(-2). What is the biggest value in m, -1, p? m Let l = 8 + -5. Which is the biggest value? (a) -2 (b) -1 (c) l c Let y be (2/(-5))/((-14)/(-10)). What is the biggest value in y, -1, 2? 2 Let x = -0.4 + -0.4. Let j = -0.2 + x. What is the third smallest value in -1/6, 1, j? 1 Let c = 0.4 - 0.3. Let w = c - 0.1. Let u = -1 + -1. What is the biggest value in -0.4, w, u? w Let f be (-3)/(-6) - (-6)/(-20). Let u = 15.6 - 18.6. Which is the second biggest value? (a) -2/7 (b) u (c) f a Suppose 4*o - t + 80 = -3*t, 2*t - 52 = 2*o. Let x be 33/o - 14/(-12). Let p = -7 + 3. What is the third biggest value in 1/4, p, x? p Let h = 23 + -21. Which is the third biggest value? (a) h (b) -3/4 (c) 0 b Suppose -24 = -4*m - m - l, 0 = m - l - 6. What is the smallest value in -0.4, m, -2? -2 Let m = 30 + -35. Which is the second biggest value? (a) -1 (b) -3 (c) m b Let a = -0.18 - -0.18. Let q = -0.02 - a. Let m = 0.8 + -1. What is the smallest value in -5, q, m? -5 Let a = 11.14 - 0.14. Let q = 10.8 - a. What is the second biggest value in q, 1, -3? q Let w = -102 + 917/9. Let c = -5.9 + 0.9. What is the third smallest value in 1, c, w? 1 Let x be 2/3 + 12/9. Let i be x*(69/36 - 2). Which is the biggest value? (a) 2 (b) i (c) -0.3 a Let t = 18/11 - 65/33. Let i = -0.34 + -0.06. What is the biggest value in 1/7, t, i? 1/7 Let w = -2 + -2. Let o = 39.6 + -40. What is the smallest value in o, 3, w? w Let x = 73 + -73. Which is the fourth biggest value? (a) 1/7 (b) -2/7 (c) 2/17 (d) x b Let h = -2 - -2. Let l be 5 - 3/6*h. Let d be l/(0 - (1 + -2)). What is the biggest value in 0, d, -3/7? d Let o = -2188/45 - -242/5. Let s = 0 + 0. Which is the third biggest value? (a) 1/2 (b) s (c) o c Let m = -14.6 + 14.6. Let l = -167/1584 + -1/176. Which is the third smallest value? (a) m (b) l (c) -1 a Let v = -114 - -796/7. Which is the third biggest value? (a) v (b) 4 (c) 0 a Let f = -2 - -3. Suppose -2*r = -5*k - 15, r + 5*k + 8 + 7 = 0. Suppose -q = -r*q. Which is the second biggest value? (a) f (b) 3 (c) q a Let s = 127/116 + -10/29. Let x = -0.1 - 5.9. Let i = x - -4. What is the second biggest value in i, s, 5? s Let i be (-1*2)/((-4)/(-6)). Let q = -0.4 + 0.1. Let f = q - -0.5. What is the third smallest value in -0.4, f, i? f Suppose 0 = -5*d + 11 - 1. Let y = -0.2 + 0.1. Let k = y - 0.4. Which is the second biggest value? (a) k (b) d (c) -0.1 c Let y = 3.93 - -0.07. Which is the smallest value? (a) 3 (b) -3 (c) y b Let q = -2/23 - -29/69. Let z = -0.3 + -0.7. Let p = -1 + 3. Which is the third smallest value? (a) q (b) p (c) z b Let v = 3 + -3.05. Let u = -0.25 + v. Let j = 0.06 - -4.94. What is the second biggest value in u, j, -3? u Let w = 0.32 - -0.08. Let o(m) = -3*m - 6*m + 10*m - 7 + 2. Let v be o(4). Which is the biggest value? (a) v (b) 4/5 (c) w b Let d = -0.1 + 13.1. Let z = -8 + d. What is the second biggest value in 2/7, z, -0.1? 2/7 Let f be 4 - (330/(-40))/(-3 - -1). What is the biggest value in -3, f, -0.5? f Let r be (2/(-3))/(4/(-18)). Which is the third biggest value? (a) 1/2 (b) -2 (c) r b Suppose -12 = -2*m - 4*m. What is the biggest value in m, 3/4, 5? 5 Let o be -3 + -1*(-3 + 1). Let v = -1 - -0.4. Let g = v + 0.1. What is the second smallest value in o, 0.3, g? g Let m = -67 - -66. Which is the biggest value? (a) -5 (b) 3 (c) m (d) 1/3 b Let q = 97 - 102. What is the third biggest value in -2, -0.2, q? q Let y = -21 + 36. Let h = y + -17. What is the second biggest value in 4, h, 0? 0 Let b = -0.05 + 2.05. Let k = 2.5 - b. What is the second biggest value in 0, k, -6? 0 Let v = -5 + 4.4. Let g = 3.4 - v. Let w be (32/4)/16*0. What is the second smallest value in g, w, -4? w Let a = 131/176 - -1/176. What is the third biggest value in -1/8, a, 2/7? -1/8 Let i(k) be the second derivative of k**3/6 - k**2 + 6*k. Let h be i(-2). Which is the second biggest value? (a) 2/9 (b) -0.3 (c) h b Let k = 0.5 + 0.5. Let i = 2.9 - -1.1. Which is the second smallest value? (a) k (b) 0.4 (c) i a Let s = -0.16 + -5.84. Let i = s + 5.8. Let l be 19/(-15) + 4/(-10). Which is the third biggest value? (a) 2 (b) i (c) l c Let v = 1918/45 + -212/5. Let r = 0.879 - 0.779. Which is the biggest value? (a) -1/2 (b) r (c) v c Let m = -66.2 - -66. What is the second smallest value in m, -2, 3? m Let w be 6/39 - (0 - 0). Which is the second smallest value? (a) w (b) 1.2 (c) -1 a Let f = -4 - -7. Let h = 3.9 - 1.9. Which is the biggest value? (a) f (b) -0.3 (c) h a Let q = 6 + -5. Let r = q + 1. What is the biggest value in 1/2, r, 0? r Let k = 16 + -8. Suppose -f + 3*f = k. Let h = 1 + -0.7. Which is the smallest value? (a) h (b) f (c) -4 c Let t = -8.016 + 0.016. What is the third biggest value in -4, t, -0.3? t Let p = 164 - 169. Suppose 0 = -4*t + 3*t - 4, 5*t + 11 = -3*q. What is the biggest value in p, q, 0.1? q Let i be (-4)/(-3)*12/(-20). Let o(s) = -s**2 + 6*s + 7. Let p be o(7). Suppose p = -2*m - 0*m - 2. Which is the smallest value? (a) m (b) -4/7 (c) i a Let u = 11 - 11.9. Let v = u - -1.4. Which is the second biggest value? (a) v (b) 0.3 (c) 2/3 a Let t(r) = -r**2 - 7*r - 2. Let d be t(-6). Let j be (-17)/54*(-6)/d. Let g = -2/9 + j. What is the third smallest value in 3, -2, g? 3 Let o = -18.8 - -19. Which is the third biggest value? (a) 1 (b) o (c) -3 c Let f(r) =
{ "pile_set_name": "DM Mathematics" }
be o(8). Solve 0 = -y*j + 6*j for j. 0 Suppose -51 = -2*h - 0*w - w, -84 = -3*h + w. Suppose h = 5*c - 73. Suppose 3*r = 8*r - c. Solve -r*s + 3 = -5 for s. 2 Let a(j) = 38*j - 28. Suppose -73 = n - 75. Let f be a(n). Solve -11*q - 4 = -f for q. 4 Let q(l) = -11*l - 11*l + 6 + 20*l + 6. Let k be q(3). Solve 5*o + k = 2*o for o. -2 Let d(q) = q**3 - 4*q**2 - 59*q + 35. Let r be d(-6). Solve 0 = -r*c + 16*c + 13 for c. 1 Suppose 8*f = -20*f + 336. Solve -3*d + 9 = f for d. -1 Let m(d) = d**3 - 8*d**2 + d. Let u be m(9). Let s be (-75)/9*u/(-50). Solve -5*f = -8*f - s for f. -5 Let y be (-3 + 76/8)/(8/80). Suppose 0 = -y*k + 64*k. Solve -5*c + 27 - 2 = k for c. 5 Suppose o + 16 = 2*o. Let f be -1 + (15 - (-2 - 2)). Let j = f - o. Solve u = j*u + 5 for u. -5 Let z = 6071 - 5557. Solve -k + z = 521 for k. -7 Let p be (1/(-2))/((-1)/6). Suppose p*w = -2*m + 11, 4*m - 2*w - 16 = 2*m. Let k be m*(-2 + 2 + 1). Solve 0 = -3*h + k*h + 4 for h. -1 Let w be (3 + -4)/(2/8 + 0). Let n be (4/16*w)/(2/(-4)). Suppose -d + 5*z + 9 = 0, d - n*z - 2 - 4 = 0. Solve -d*v = -v + 12 for v. -4 Suppose -a = -2*k - 7, -5*a + 22 = -k + 5. Solve -1104*y + 1103*y = -a for y. 3 Let x(r) = -5*r**2 + 174*r + 61. Let z be x(35). Solve -65*d + 52*d = z for d. -2 Let p(m) = -414*m**2 + 6*m. Let v be p(1). Let h = -402 - v. Solve i = -7 + h for i. -1 Let h be 0*(-1)/(-12)*6. Suppose h*w - 24 = -4*w. Solve -22 = -4*z - w for z. 4 Let a = 190 + -184. Let q(u) = -16*u - 15. Let c be q(-6). Let s = 83 - c. Solve -s*t + 20 = -a*t for t. -5 Let n be 11/(165/20)*96. Suppose 0 = -24*k + n - 8. Solve 8 + 17 = -k*g for g. -5 Let a be 8/5*((-60)/(-7))/((-66)/(-231)). Solve -8*w - 16 = -a for w. 4 Let d be ((-1)/(-2))/(7 + 20277/(-2898)). Solve -9*n + d = 14*n for n. 7 Let o be -5*(-132)/(-45)*(38/4 + -11). Solve -27*v = o*v - 44*v for v. 0 Let l be 12 - 0*3/(-6). Suppose 7*w + 505 = 477. Let h = l - w. Solve 0 = -v + 5*v - h for v. 4 Let p = -309 - -260. Let y = -44 - p. Solve -8 = h - y*h for h. 2 Suppose 55*x + 5*y = 51*x + 1035, -25 = 5*y. Solve -62*a + 9*a - x = 0 for a. -5 Let n be 99/2376 - (-286)/48. Solve 978*s - n = 979*s for s. -6 Let c(d) = d**3 + 6*d**2 + 4*d + 279. Let n be c(-9). Solve -2*y = -n*y - 4*y for y. 0 Let w(b) = -19 - 8*b - 3 + 2*b - 3. Suppose -y - 14 = -0*y + 3*d, -2*d = 4. Let t be w(y). Solve 4*v + 7 - t = 0 for v. 4 Let r = -11643 - -11643. Solve 3*l + r*l = -2*l for l. 0 Suppose 83*t = 1296 - 51. Solve -1973*n - t = -1976*n for n. 5 Let g(o) = -o**3 + 8*o**2 + 16*o - 24. Let q be g(9). Let k = q - 30. Suppose -3 = z - k. Solve 0 = -v + z*v for v. 0 Suppose 2*o - 4*o = -6. Let y(s) = s**2 - 56*s - 174. Let t be y(59). Suppose m + b = o, 0 = -0*m + 2*m + t*b - 4. Solve 0*c = m*c for c. 0 Suppose -5*x = 4*v - 39, -15*v + 20*v - 21 = 3*x. Let g be (0 + 14)*3/6. Solve v*s = g*s for s. 0 Let l(u) = 6*u**2 - 64*u + 13. Let s be l(10). Let z be (10/(-6) + 2)*(-3 - s). Solve 11*d - z*d = -9 for d. -3 Let p = -58 - -91. Let c = p + -30. Suppose -u - c*v + 2 + 4 = 0, -5*v - 4 = -3*u. Solve -l = 4 - u for l. -1 Suppose 0 = -106*k + 444 - 20. Solve 332 = k*c + 340 for c. -2 Suppose j + 70 = -4*f, 5*f + 143 = -2*j + 6. Let g = 74 + j. Let r = 18 + -13. Solve g = r*l + 28 for l. -4 Let i = -24 - -29. Suppose -i*z + 5*b = -45, z - 2*z - 5*b + 15 = 0. Suppose 6 = -2*x + z. Solve 3*c + 4 + x = 0 for c. -2 Let z = -2 - 18. Let j be 28 + (-4)/(z/(-15)). Let s = j + -24. Solve g = -s - 3 for g. -4 Let t(o) = -o**2 - 52*o - 47. Let y be t(-51). Suppose -3*k = -3*j - 6, -y*k = 2*j - 14 + 6. Solve -12*s + 15*s = j for s. 0 Suppose 0 = -3*a + 5*q - 2, 5*q + 254 = a + 268. Solve 1 = -a*v - 41 for v. -7 Let n(k) = k**2 - 68*k - 1920. Let s be n(-22). Solve 60 = -20*g - s for g. -6 Suppose 3*u - p - 104 = -3*p, -140 = -4*u - 3*p. Let b = 8808 - 8777. Suppose -i + u = b. Solve 1 + i = -2*g for g. -1 Let p = -13250 - -13258. Solve -p*j - 14*j = -154 for j. 7 Let d(o) = -o**3 - 11*o**2 - 36*o - 335. Let m be d(-11). Solve -57*h - 28 = -m*h for h. 7 Let z = 118 - -15. Let f = 137 - z. Solve i - 2*i = f for i. -4 Suppose -7*x + 3*x + 4 = 4*b, 5*b - x - 23 = 0. Suppose -9 - 3 = -b*z. Let a = 37873 - 37869. Solve -p = -a*p - z for p. -1 Suppose 5*s - 65 = 5*z, 7*s - 12 = 3*s - 4*z. Suppose 4*c = -2*g - 4, 0 = 2*g - s*c + 3*c - 32. Solve -g*h - 17 = 13 for h. -5 Suppose -136 + 216 = 4*g. Solve -g*w - 21*w = 0 for w. 0 Let r be ((9/7)/((-3)/4))/((-15315)/178675). Let l be 0 + -2*69/(-2). Solve -l*b + 73*b - r = 0 for b. 5 Suppose -20*z - 60 = -35*z. Let r be ((-1 - -6)/(-5))/(z/(-8)). Solve 0 = -2*h + r for h. 1 Suppose 0 = -2*b + 3*m + 52, -10*m = -3*b - 14*m + 112. Solve -b*f - 173 = -77 for f. -3 Let t be (2/(-3))/(6/(-108)). Suppose k + 2*k = t. Suppose 6 = -2*q + k*q, 3*x - 3 = -q. Solve x = -3*m - m for m. 0 Suppose 19*o + 9*o - 2639 = 1897. Solve 164*m = o*m - 10 for m. -5 Let t(k) = -k**2 - 27*k - 90. Let b(x) = x**3 - 7*x**2 - 6*x + 19. Let p be b(7). Let y be t(p). Solve 4*u - y = 2*u for u. 1 Suppose 98 = r - 23*c + 25*c, -223 = -2*r + 5*c. Solve 0 = r*n - 111*n - 49 for n. -7 Let o = -11 + 17. Let l = -50 - -52. Suppose -4 = -l*f - 0*f. Solve f*b = -b - o for b. -2 Suppose -209 - 127 = -8*u. Suppose -2*v + u = v - 5*p, -5*v - 2*p = -39. Solve -v*a + a - 24 = 0 for a. -3 Suppose 2 = -4*j + 3*p - 1, 5*j + 5 = 4*p. Suppose -2*k = -4*m + 30, -15 = m + j*k + k. Suppose 11 = -c + m*a, -2*a + 27 = 3*c + 9. Solve 0*g - 20 = -c*g for g. 5 Suppose 2*q + 2*f - 34 = 0, -4*q - 3*f + 29 = -37. Solve -18*v + q*v = 0 for v. 0 Let f(o) = 34*o + 343. Let k be f(-8). Solve 68*s - 6 = k*s for s. -2 Let p be 5/2*2 - (24 + -18). Let l(k) = 2*k - 2*k**2 - 3*k**3 - 2 - 5*k - k. Let x be l(p). Solve 8*c - 20 = x*c for c. 4 Let c(r) = 34*r - 779. Let z be c(23). Solve -149 = z*n - 137 for n. -4 Suppose 0 = -4*g + 57 + 11. Solve -9*c = g*c - 156 for c. 6 Suppose 8*x - 5*y - 8 = 6*x, 0 = -2*x - 2*y + 8. Let p = -221 + 226. Solve x*n + n = -p for n. -1 Suppose f + 44 = 4*g - 40, f - 2*g + 80 = 0. Let w = f + 78. Let r be 2 + -4*-1*w/8. Solve -r*b = -11 + 5 for b. 2 Let m = 381 + -378. Let p(k) = k**3 - k**2 - 4*k + 6. Let h be p(2). Let r(o) = o**2 + 4*o + 8. Let t be r(-6). Solve t = h*a + m*a for a. 4 Suppose -62 = 269*u - 300*u. Let c(g) = -g**3 - 3*g - 1. Let f be c(-2). Suppose 2*v - 26 = -5*n, -4*v + 3 = 4*n - f. Solve n + 4 = -u*h for h. -5 Let g be ((-4)/(-8))/(6/(-1920)). Let s = g - -160. Solve -3*f + s*f + 3 = 0 for f. 1 Let v(g) = -g**3 - g**2 + 4*g + 4. Let r be 5 + 4 + -3 + -3. Suppose 0 = -h - h + 5*u + 4, r*h + 17 = -4*u. Let s be v(h). Solve 0 = 5*i - s - 5 for i. 3 Let p be ((-60)/35)/((-4)/(-14)). Let b be (-124)/186 - (32/p)/2. Solve -b*m - 2*m + 4 = 0 for m. 1 Let g = 1661 - 2449. Let r = g + 789. Solve -r = 2*s + 3 for s. -2 Let c be ((-16)/12)/((-15)/((-1800)/(-16))). Suppose 3*l = 0, -2*p + 3*l = -l - 22. Solve 16*z = p*z - c for z. -2 Let b be 0/((3 - 5)/2). Let l(g) = g**2 + 26*g + 15. Let o be l(-19). Let a = o - -119. Solve b = -0*m + m - a for m. 1 Suppose 0 = 10*a - 47 - 943. Let m be 12/((a/(-12))/(-11)). Solve 4*u - m = -0 for u. 4 Suppose -35*y + 311 = 66. Let t(u) be the third derivative of -u**4/8 + 13*u**3/3 - u**2. Let b be t(y). Solve -20 = b*v - 0*v for v. -4 Suppose -18*m = -24*m - 48. Let s be m/36 - 2528/(-36). Suppose 0 = -4*j - 2*i + 50, -3*j + 3*i + 2*i = -s. Solve j = 4*u + u for u. 3 Let p(k) = -2*k + 29. Let h be p(14). Let r be -20*((-28)/(-8) + -4)*h. Solve 5*z + r = -0 for z. -2 Suppose -4*c + 34 + 6 = 0. Suppose -a = g + 3, -3*a = -9*g + 7*g - 16. Solve a*k = 7*k - c for k. 2 Let k(a) = 2*a**2 + 89*a + 173. Let p be k(-2). Solve p*i + i = -24 for i. -6 Let f = 120 - 60. Let l be f/6*(-6)/(-15). Solve 5*c + 9 = l for c. -1 Suppose 0 = -16*h + 1640 - 56. Solve -121*p + h*p = 0 for p. 0 Let u be 1/(-4) + 34/8. Let w(p) = 14*p**2 + 13*p - 33. Let x(a) = -3*a**2 + 1. Let r(z) = w(z) + 4*x(z). Let i be r(2). Solve i*q - u*q = -3 for q. -3 Suppose -5*g = -3*g + 3*q - 31, -37 = -3*g + 5*q. Let c be 36/g - (-4)/(-7). Solve 5*h - 7 + c = 0 for h. 1 Suppose -2*f - 2*i + 6 = 0, 2*f + 24*i - 23*i = 7. Solve 18*w = -f*w + 11*w for w. 0 Suppose -15*g = -20*g + 5. Let v be 45/(-6)*((-1)/1 - g). Let y = v - 12. Solve y*u = u for u. 0 Let u be 1*10736/64 - 6/8. Solve 0 = 7*y
{ "pile_set_name": "DM Mathematics" }
32*m**3 - 11*m**2 - 11*m + 11. Let r(x) = 4*n(x) + 11*q(x). What is 5*o(g) - 56*r(g)? -7*g**3 Let z(d) = -2*d**2 + 6*d + 4. Let j(h) = 2*h**2 - 5*h - 3. Calculate 7*j(y) + 6*z(y). 2*y**2 + y + 3 Let f(z) be the first derivative of -9*z**2/2 - z - 1. Let b(x) = -14*x - 2. Let k = 2 - -6. What is k*f(o) - 5*b(o)? -2*o + 2 Let d(s) = 3*s - 7. Let z(n) = -n + 3. Suppose -3*c + 5*g + 6 = -2*c, 5*c - 30 = -5*g. Determine c*d(k) + 15*z(k). 3*k + 3 Let w(n) = 1. Let j(b) = -5*b - 1. Let u(f) = -j(f) - 3*w(f). Let d(z) = z**2 + 3*z - 3. Let m be d(2). Let a(l) = -l + 3 - l - m*l. What is -3*a(v) - 5*u(v)? 2*v + 1 Let u(g) = 7*g**2. Let d be u(-1). Let t = d + -11. Let i(x) = x - 1. Let p(r) = -5*r + 4. What is t*i(q) - p(q)? q Let j(a) = 2*a**2 + 2*a - 3. Let q(h) = -h**2 - h + 2. Let i = 23 - 25. What is i*j(w) - 3*q(w)? -w**2 - w Let n(x) = 3*x**2 + x + 2. Let h(k) = 1. What is 2*h(s) - n(s)? -3*s**2 - s Let b(z) = -7*z - 8. Let j(q) = 8*q + 9. Suppose 2*u - 28 + 38 = 0. Give u*j(h) - 6*b(h). 2*h + 3 Let j(r) = 2*r - 3. Let p(i) be the first derivative of -3*i**2/2 + 4*i - 54. What is 4*j(d) + 3*p(d)? -d Let u(b) = -6*b**3 - 2*b + 1. Let a(w) = -5*w**3 - w + 1. Let x = -150 + 147. Calculate x*u(c) + 4*a(c). -2*c**3 + 2*c + 1 Let n(f) = -9*f**2 - 5*f - 6. Suppose 3*d - 22 = 2*w, -6*d + 26 = -d + 2*w. Let k(z) = -8*z**2 - 4*z - 5. Calculate d*k(b) - 5*n(b). -3*b**2 + b Let z(f) = 2*f + 4. Let s(b) be the first derivative of b**2/2 + 3*b + 1. Suppose 2*h = 4*l - 8, 2*h + 16 = 3*h + 3*l. What is h*s(o) - 3*z(o)? -2*o Suppose -2*k - 6 + 8 = 0. Let d(c) = -3*c**2 + 8*c + 7. Let r(p) = -p - 1. Determine k*d(g) + 6*r(g). -3*g**2 + 2*g + 1 Suppose -3*k = -4*n + 2 + 2, k - 2*n + 4 = 0. Let g(o) = -2*o - 5. Let u(a) be the second derivative of -a**3/3 - 3*a**2 + 3*a. Determine k*u(h) - 5*g(h). 2*h + 1 Let c(r) = 2 + 1 - 3 + 3*r. Let q(u) = 0 - 3 + 3 + 10*u. Let h = 49 - 33. Determine h*c(x) - 5*q(x). -2*x Let f(m) be the third derivative of -m**4/12 + m**2. Let v(x) be the second derivative of 0 - 1/2*x**3 - 5*x + 0*x**2. Determine -10*f(y) + 6*v(y). 2*y Let u(z) = 10*z - 1. Let m(l) be the third derivative of 0 + 4*l**2 + 1/12*l**4 + 0*l + 0*l**3. Give -11*m(f) + 2*u(f). -2*f - 2 Let p(k) = -2*k**3 - 87*k**2 + k**3 + 88*k**2. Let m(a) = 4*a**3 - 7*a**2 + 2*a. What is -m(c) - 5*p(c)? c**3 + 2*c**2 - 2*c Let j(s) = 5*s - s - 5*s**2 + 3*s - 7. Let w(x) be the first derivative of -2*x**3/3 + 3*x**2/2 - 3*x - 65. Calculate -3*j(q) + 7*w(q). q**2 Suppose 2*y + 8 = 3*w - 4, -3*w - 5*y = -33. Let k(m) = 5*m**2 + 7*m - 7. Let g(q) = -14*q**2 - 20*q + 20. Give w*g(l) + 17*k(l). l**2 - l + 1 Let j(w) = -w**3 - 6*w**2 + 5*w - 2. Let t(k) = k**2 - k. Let g = 41 + -35. Determine g*t(h) + j(h). -h**3 - h - 2 Let w(n) = -12*n**3 - 2*n**2 + n - 2. Let m(f) = -12*f**3 - 3*f**2 + f - 3. What is -2*m(r) + 3*w(r)? -12*r**3 + r Let y(n) = -8*n**3 + 5*n**2 + 6*n - 1. Let c(a) = -7*a**3 + 4*a**2 + 5*a - 1. What is -6*c(b) + 5*y(b)? 2*b**3 + b**2 + 1 Suppose 2*d - 1 = 3*d. Let n(m) = 2*m**2 - 2. Let k(o) = o**2 + o. Determine d*k(r) + n(r). r**2 - r - 2 Let y(g) = -g - 1. Let f be -4*4/((-16)/(-3)). Let v(u) = -4. Determine f*y(h) + v(h). 3*h - 1 Let m(i) = i**2. Let n(a) = 180*a**2. Determine 216*m(l) - n(l). 36*l**2 Let w(t) = -2*t - 6. Let o(k) = -3*k - 9. What is -5*o(p) + 7*w(p)? p + 3 Let s(k) = k**3 - 2*k**2 + 2*k + 2. Let d(b) = -b**3 + b**2 + b - 1. Determine -4*d(c) - 2*s(c). 2*c**3 - 8*c Let s(f) = 4*f**3 - 2*f**2 - 5*f + 5. Let k(h) = 3*h**3 - 2*h**2 - 4*h + 4. Let w = -2 + 0. Let v be 7 + 3/w*2. Give v*s(l) - 5*k(l). l**3 + 2*l**2 Let c(o) = 4*o + 6. Let s(l) = -3*l - 5. Let p = -14 - -18. Suppose -4*f - w - 2*w = 23, -p*f + 3*w = 17. Suppose 4 = -v - 2. Give f*c(r) + v*s(r). -2*r Let h(t) = -4*t + 1. Let w = 131 - 133. Let u(i) = -5*i + 2. What is w*u(o) + 3*h(o)? -2*o - 1 Let m(d) = 3*d**2 + d - 3. Let f be -6 - (3 - 4/1). Let o be 1/3*(f - 1). Let w(t) = t**2 - 1. Calculate o*w(c) + m(c). c**2 + c - 1 Let d(k) = -4*k**3 - 7*k**2 + 5*k + 5. Let g(q) = 2*q**3 + 4*q**2 - 3*q - 3. Let p(m) = m**3 + m - 3. Let j be p(0). Determine j*d(s) - 5*g(s). 2*s**3 + s**2 Let c(k) = 5*k**3 + 9*k**2 - 5*k. Let r(g) = -g**3 - 2*g**2 + g. Let u = 127 + -123. Determine u*c(i) + 18*r(i). 2*i**3 - 2*i Let j(d) = -d**2 + d - 4. Let z(r) = 5*r - 9 - 3*r**2 + 9*r - 11*r. Give -7*j(u) + 3*z(u). -2*u**2 + 2*u + 1 Let b(g) = -5*g - 2. Let q(r) = 6*r + 2. Give 3*b(y) + 2*q(y). -3*y - 2 Let c(w) = -7*w + 7. Let y(z) = -14*z + 14. Let i(a) = 5*c(a) - 2*y(a). Let j(f) be the second derivative of -f**3/2 + 3*f**2/2 + 2*f. Give 2*i(x) - 5*j(x). x - 1 Let b(l) = 3*l**2 - 2*l. Suppose -7*v + 95 = -2*v. Let a = v + -12. Let g(n) = 4*n**2 - 3*n. Determine a*b(q) - 5*g(q). q**2 + q Let z(i) = -3*i**2 - 3*i + 5. Let p(q) = 3*q**2 + 3*q - 6. Calculate -6*p(j) - 7*z(j). 3*j**2 + 3*j + 1 Let m(z) = 2*z - 1. Suppose -5*w = -w + 40. Let k = 0 - w. Let c be (4/k)/(1/(-5)). Let o(f) = -f. Determine c*m(h) - 6*o(h). 2*h + 2 Let f(r) = r. Let z(c) = 13*c + 3. Determine -4*f(b) - z(b). -17*b - 3 Let a(n) = n + 1. Suppose -7*v = -v + 6. Let m(o) = -6*o - 3. Determine v*m(p) - 4*a(p). 2*p - 1 Let h(n) = -5*n**2 - 7*n - 4. Let x(m) = 13*m**2 + 20*m + 11. Determine 17*h(u) + 6*x(u). -7*u**2 + u - 2 Let r be (4/(-5))/(3/15). Let v(t) = -3*t**3 + 2*t**2 + 4*t. Let q(c) be the second derivative of c**5/20 - c**3/6 + 21*c. Give r*q(i) - v(i). -i**3 - 2*i**2 Let c(s) = -4*s**2 - 5*s - 1. Let b(m) = -2*m**2 - 2*m - 1. Give -5*b(w) + 2*c(w). 2*w**2 + 3 Let a(u) = -9*u**3 - 5*u**2 + 5*u - 5. Let s(r) = -7*r + 7*r**2 - 11*r**3 + 10*r**3 + 7 + 14*r**3. What is -7*a(w) - 5*s(w)? -2*w**3 Let s(z) = -z + 10. Let r(y) = y + 2 + 2 - 6*y - 1. Let g be r(2). Let q(x) be the second derivative of -x**3/6 + 7*x**2/2 + 2*x. Calculate g*q(m) + 5*s(m). 2*m + 1 Let s = 42 + -40. Let f = -6 + 8. Let l(r) = 1 - 2 - r**2 + 0*r**f - r. Let y(v) = v**3 + 2*v**2 + 3*v. Determine s*l(p) + y(p). p**3 + p - 2 Let h(r) = 5*r**3 + 3*r - 3*r**3 - 1 + 0*r. Suppose -3*s = -0*s - 5*u - 2, 3*s + 2 = u. Let q(c) = c**3 + c - 1. Calculate s*q(n) + h(n). n**3 + 2*n Let t(d) = 63*d**3 - 15*d**2 - 15*d - 15. Let u(w) = -9*w**3 + 2*w**2 + 2*w + 2. Determine 2*t(m) + 15*u(m). -9*m**3 Let l = -16 - -27. Let v = l + -8. Let h(w) = -4 + v*w - w + 7*w. Let a(f) = 4*f - 2. What is -7*a(t) + 3*h(t)? -t + 2 Let n(i) = -3*i**3 - 2*i**2 + 2*i + 4. Let l(v) = -7*v**3 - 5*v**2 + 5*v + 9. Calculate -2*l(m) + 5*n(m). -m**3 + 2 Let p = 4 + 1. Let y(t) = -2*t - 2. Let k(i) = 4*i + 4. Let o(f) = p*y(f) + 2*k(f). Let l(h) = -5*h - 4. Suppose 7*r - 12 = 4*r. Determine r*l(w) - 9*o(w). -2*w + 2 Let b(x) = -4*x - 5. Let j be (-6)/(2*-1)*(-7 - -4). Let c(d) = -d - 1. Calculate j*c(f) + 2*b(f). f - 1 Suppose k = 5*k. Suppose k*x + 25 = 5*x. Let h(w) = 2. Let a(l) = -l + 4. Give x*h(o) - 3*a(o). 3*o - 2 Let g(o) = -o**3 - o**2 - 1. Suppose -4*a + 5 = -9*a. Let l(m) = 6*m**3 + 9*m**2 + 9. What is a*l(b) - 9*g(b)? 3*b**3 Let x(q) = q**2 + q + 1. Let o(i) = -5*i**2 - 5*i - 15. Determine o(h) + 3*x(h). -2*h**2 - 2*h - 12 Let h(j) = -2*j**3 + j**2 - 3*j - 3. Let z(q) = 3*q**3 - 2*q**2 + 5*q + 5. Let a be (6/(-5))/(3/15). Calculate a*z(m) - 10*h(m). 2*m**3 + 2*m**2 Let a(v) = -4*v**3 + 3*v**2 - 3*v - 2. Let x(t) = t**3 - t**2 + t + 1. Let u be (-4)/(-12)*(-9)/(-1). What is u*x(r) + a(r)? -r**3 + 1 Let j(c) = -c**2 + 3*c + 2. Let f(d) = d**2 + 11 - 17 - 6*d + 3. Calculate -3*f(p) - 5*j(p). 2*p**2 + 3*p - 1 Let q(r) = -9*r**2 + 9*r - 11. Let u(o) = -2*o**2 + 2*o - 3. Let y(g) = -g**2 + g - 2. Let l(i) = -4*u(i) + 3*y(i). Determine -11*l(j) - 6*q(j). -j**2 + j Let w(c) = c**2 + c - 1. Let s(r) = 11*r**2 + 25*r - 21. Let n(v) = -4*v**2 - 8*v + 7. Let i(h) = 7*n(h) + 2*s(h). Let p = 27 + -22. Give p*w(u) + i(u). -u**2 - u + 2 Let y(o) = -6*o**3 + 16*o**2 - 16*o + 16. Let t be 12/(-9) - 26/(-6). Suppose -31 = 2*a + 1. Let w(r) = -r**3 + 3*r**2 - 3*r + 3. What is a*w(l) + t*y(l)? -2*l**3 Let n(u) = -2*u + 2. Let r(p) = -10*p + 11. Let t = -15 + 21. Let c be 2/6 - 23/(-3). Let q = c - t. Determine q*r(d) - 11*n(d). 2*d Let v(a) = a**3 - a**2. Let b(w) = -8*w**3 + 11*w**2 + 6*w - 4. Let s(f) = f**3 - f**2 - f + 1. Let h(x) = b(x) + 6*s(x). What is h(o) + 5*v(o)? 3*o**3 + 2 Let b(j) = -j - 4. Let h(u)
{ "pile_set_name": "DM Mathematics" }
3*a + 38 = 4*a. Let g be (3 - 2 - 37)*(-6 - -7). Let x be (g - 2)/(3*6/(-9)). Calculate the highest common factor of x and a. 19 Suppose -543 - 10473 = -72*b. What is the highest common factor of 255 and b? 51 Let i(b) = 14*b**2 + 12*b + 58. Let j be i(-7). What is the greatest common divisor of 420 and j? 60 Let m(g) = -35*g + 193. Let s be m(5). What is the greatest common factor of s and 306? 18 Let l(j) be the first derivative of -j**2/2 + 5*j - 2. Let k be l(-4). Let h be (-2 - -6)*((-11)/(-2) - 1). What is the highest common divisor of k and h? 9 Suppose 2780 = 263*c - 258*c. What is the highest common factor of 4 and c? 4 Suppose 0*r - 2*r + 120 = 0. Let k be 2/(-10) - (-3372)/r. Calculate the highest common factor of k and 16. 8 Suppose -3*y + 6*p = 5*p - 44, 4*y = -4*p + 48. Calculate the greatest common factor of 434 and y. 14 Suppose -2*j + 148 = s, -2*j - 3*s = 2*j - 296. Calculate the highest common divisor of j and 148. 74 Let i = -44 + 50. Let a be (i/4)/((-7)/(-98)). What is the greatest common divisor of 6 and a? 3 Let a(x) = -3*x**2 + 5*x - 7. Let y(w) = -w**2 - 4*w + 5. Let s be y(-4). Let l be a(s). Let v = l - -80. Calculate the highest common divisor of 92 and v. 23 Suppose 5*k = 5, -10 = -3*d + 2*k + 3*k. Suppose -d*i = 3*o - 39, 0 = o - 6*o + 15. What is the highest common divisor of i and 9? 3 Let k(t) = -t**2 + 10*t + 32. Let d be (-210)/28*(-3)/(9/4). Let j be k(d). Let g = -3 - -7. What is the greatest common factor of j and g? 4 Let q be (8372/(-35))/(-4) + (-1)/(-5). Calculate the highest common divisor of 30 and q. 30 Let y(a) = 2*a**2 + 4*a + 2. Let u be y(-10). Calculate the greatest common factor of 6 and u. 6 Suppose 87 = m - 2*f - 49, 0 = -4*m + 2*f + 568. Calculate the highest common factor of 96 and m. 48 Suppose -2*z - 2*i + i = -74, -z + 4*i = -28. What is the highest common divisor of 162 and z? 18 Let h be (130/(-78))/((-5)/9). What is the greatest common divisor of h and 24? 3 Suppose -28 = -2*n - 0*n - 5*s, 5*n - 32 = -3*s. Let j(f) = f**3 + 3*f**2 - 4*f + 4. Let m be j(-4). What is the greatest common factor of m and n? 4 Let z = 221 + -204. Calculate the greatest common divisor of z and 1513. 17 Let g(q) = -q**2 + 12*q + 14. Let v be g(12). Suppose 16 = 4*i, -t + 4*i + 0*i = -v. What is the greatest common divisor of t and 6? 6 Let p be 4 + 0/((-15)/(-5)). Let r be 7578/63 + p/(-14). What is the highest common factor of r and 30? 30 Suppose -16*f = -13*f - 51. Let u = 116 - -20. What is the highest common divisor of u and f? 17 Let p = 27 + 5. Suppose 0 = -4*u - 4*z + p, -5*z = u - z + 4. Suppose -4*t - 200 = -3*w, 0*t - 80 = -w + 4*t. Calculate the greatest common divisor of w and u. 12 Suppose -18*s + 364 = -5*s. Let c(y) = -23*y + 35. Let z be c(-7). What is the greatest common factor of s and z? 28 Let r(f) = -27*f**3 - f**2 + 6*f + 8. Let h be r(-3). What is the greatest common divisor of h and 852? 142 Let o be (-90)/(-585) + 1/((-26)/(-204)). Suppose -8 = -11*a + 7*a. What is the greatest common divisor of a and o? 2 Suppose -46*t = -387 - 8583. Calculate the greatest common divisor of t and 60. 15 Suppose 4*w - 228 = -2*v, 5*v - 8*v + 52 = w. Calculate the greatest common factor of w and 87. 29 Suppose 0 = -2*v - 2*n + 138, v - 5*n - 71 = -26. Calculate the greatest common divisor of v and 13. 13 Suppose -8*i + 196 = -4*i. Let d = i + -16. Calculate the highest common divisor of d and 3. 3 Let v be 2/(2/(-4) + (-4387)/(-8446)). Calculate the greatest common factor of v and 412. 103 Suppose 2*l = 129 + 15. Suppose 2*o = 3*h - 22, 4*h - 4*o - 19 = 9. Let g(w) = 2*w + 8. Let i be g(h). Calculate the greatest common divisor of l and i. 24 Let v be -2 + 3 - (-102 + 5 + -7). Calculate the highest common divisor of v and 165. 15 Let l(f) = -f + 4. Let o be l(10). Let i be -3 - ((-4 - o) + 2). Let t be (-2)/(i/(-9) - 1). What is the highest common divisor of t and 27? 9 Suppose -7*w + 3*w + 8 = 0. Suppose -5*u = 4*d + 418 - 23, -d = -w*u - 145. Let t = -33 - u. Calculate the highest common factor of 6 and t. 6 Let w = -57 - -65. Suppose -5*o + 63 = x, -x - 2*x - 15 = -2*o. What is the greatest common factor of w and o? 4 Suppose -20 = -s - 12. Suppose 8*f = 4*f + 32. What is the highest common divisor of s and f? 8 Let t(a) = -8*a + 1. Let i be t(-1). Suppose -3*w + s = 2*s - 136, -w = -2*s - 43. Suppose 2*u = u + w. What is the highest common factor of i and u? 9 Let b be 176 + -2*-4*2/(-16). What is the greatest common divisor of 100 and b? 25 Let t(c) = 2*c**3 - 11*c**2 + 14*c - 15. Let f be t(5). Calculate the highest common divisor of 480 and f. 30 Let k = 57 + -48. Calculate the greatest common divisor of k and 144. 9 Let y(k) = k**2 - k - 1. Suppose 4 = -v + 3. Let r be y(v). Suppose -53 = -2*q - r. Calculate the highest common divisor of q and 52. 26 Let d be ((-34)/4)/(5/380*-2). Suppose 2*f + 17 = d. Let n be 1 + 1*(14 + 2). Calculate the highest common divisor of n and f. 17 Let z = -52 - -114. Suppose 0 = 4*y - 0*y - v - 100, -3*y + 4*v = -z. Let m(i) = -5*i + 3. Let n be m(-2). Calculate the highest common divisor of y and n. 13 Let a(v) = 2*v**2 - 13*v + 17. Let s be a(12). Let k = s + -5. Suppose 46 = 5*m - 34. Calculate the highest common divisor of m and k. 16 Let r be ((-2)/5)/(7/(-35)). Suppose -r*h = h. Let a = 9 - h. What is the highest common factor of 9 and a? 9 Suppose 2*d + 5*o - 144 = 0, 5*o - 462 = -5*d - 117. What is the highest common divisor of d and 134? 67 Let g be ((-7)/2)/7*-6. Suppose 0 = g*i - 0*i. Suppose -2*o + 0 + 6 = i. What is the greatest common factor of 9 and o? 3 Let v(d) = -21*d**2 + 71*d + 56. Let s(q) = 4*q**2 - 14*q - 11. Let c(u) = -11*s(u) - 2*v(u). Let o be c(6). Calculate the greatest common factor of 9 and o. 9 Let o be 61/7 + 2/7. Let h(y) = -y**2 + y + 4. Let k be h(0). Let s = k + -3. Calculate the greatest common divisor of s and o. 1 Suppose 228 = 3*y + 3*s, 2*s + 164 + 89 = 3*y. What is the greatest common factor of y and 9? 9 Let c(w) = -w**2 + 14*w - 10. Let q be c(10). Suppose 3*b = 2*b + q. Let l be (-2 - 0)*1*-10. Calculate the highest common divisor of l and b. 10 Let z = 274 - 253. Calculate the greatest common divisor of z and 42. 21 Let a(x) = -295*x**3 + 2*x + 1. Let r be a(-1). What is the highest common factor of 84 and r? 42 Let v(w) = w. Let n be v(5). Let k be 2/(-2) - (-16)/32*12. Calculate the greatest common divisor of n and k. 5 Let u(v) = 14*v**3 + 2*v**2 + 2*v + 1. Let c be u(-1). Let l = 21 + c. Suppose l = -2*m + 6*m. What is the greatest common factor of m and 4? 2 Let p be (-90)/(-72) - (2 + (-14)/8). What is the highest common factor of p and 66? 1 Let i be 16/1 - (-8)/(-2). Suppose -g + 5 = -5*r - 1, -3*r + i = 2*g. Let t be ((-90)/7)/(g/(-42)). What is the highest common factor of t and 36? 18 Suppose 7 - 57 = -5*g. Let b = g + 12. Suppose 32 = z - b. Calculate the highest common factor of z and 6. 6 Let a = 1332 - -618. What is the greatest common factor of 100 and a? 50 Let s(p) be the third derivative of -p**6/120 - 13*p**5/60 - 3*p**4/8 + 13*p**3/6 + 7*p**2. Let y be s(-13). Calculate the greatest common divisor of 10 and y. 10 Let q(t) be the first derivative of 5*t**3/3 - 2*t**2 + 4*t - 10. Let g be q(2). Calculate the greatest common factor of g and 32. 16 Suppose 0 = -35*c + 673 - 113. Let y be 12/(-3)*(0 - 28). What is the greatest common factor of y and c? 16 Let h be 72/20 + 3*(-2)/10. Suppose h*g + 2*m - 260 = 2*g, -4*m = -20. Calculate the highest common divisor of g and 10. 10 Let q be (696/18)/((-1)/(63/(-6))). What is the highest common factor of q and 70? 14 Let y = -49 - -32. Let h = y + 32. What is the greatest common divisor of h and 5? 5 Let o be (-146)/(-2) + 34/17. Calculate the highest common factor of o and 175. 25 Let l = -14 - -43. Let d = 15 - -6. Let s = l - d. Calculate the greatest common divisor of s and 20. 4 Let c be 530 + -4*(7/(-28))/(-1). What is the highest common factor of 23 and c? 23 Let s = -341 - -345. What is the greatest common factor of s and 320? 4 Suppose 19*b = 1222 + 1704. Calculate the greatest common divisor of 44 and b. 22 Let m be 12 - 4 - (3 - 0). Let t = -14 + 20. Let c = t - 1. What is the greatest common factor of m and c? 5 Suppose 2*a = -a - 15. Le
{ "pile_set_name": "DM Mathematics" }
+ 8*x**2 + 7 + 6*x**2. Let z(h) = -3*g(h) - 5*v(h). Determine z(-1). -7 Let r(w) = 4*w**3 + 3*w**2 + 4*w. Let u(c) = -2*c + 2. Let q be u(3). Let n(b) = 5*b**3 + 2*b**2 + 3*b - 1. Let d(l) = q*r(l) + 3*n(l). What is d(-5)? 7 Suppose 4*h - 6 = 10. Let y(n) = -2*n + 3. Let r be y(h). Let u(j) = -j**3 - 6*j**2 - 5*j + 1. Give u(r). 1 Suppose 0 = -4*p + 3*p - 3. Let l(c) = -c**3 - 5*c**2 - c + 3. Calculate l(p). -12 Let q = 14 - 11. Let n(v) = -v**2 + v. Give n(q). -6 Let v(f) = f**2 + f - 2. Let r be 30/(-4)*6/(-5). Suppose 2*u - r = -5. Determine v(u). 4 Suppose -5*g + 6 = -14. Suppose -g*v = -v - 24. Suppose -2*i - 2 = -v. Let n(u) = -u**3 + 3*u**2 - 2*u + 1. What is n(i)? -5 Let w(l) = -l. Let n(d) = 8*d - 2. Let x(c) = -n(c) - 6*w(c). What is x(5)? -8 Let u(s) = -s**2 - 5*s + 7. Suppose 2*v + 26 - 16 = 0. Calculate u(v). 7 Let n(z) = z**3 - z**2 - z - 11. Let c = 43 - 30. Let d(i) = i**3 - 14*i**2 + 12*i + 13. Let u be d(c). Give n(u). -11 Let j be (0 - -3)/(1 - 0). Suppose j = -2*o - 1. Let v(w) = w**2 + 5*w + 1. Determine v(o). -5 Suppose 6 = -3*w - 2*c - 7, -4*w - 4*c - 16 = 0. Let p(s) = -s**2 - 6*s + 6. Calculate p(w). 11 Let z(p) = -p**3 + 3*p**2 + 5*p - 5. Suppose -5 - 3 = -4*c. Suppose 6 = 2*q - 0*n - 2*n, 2*n = c. Give z(q). -1 Let v(s) = -s - 5. Let f be v(-4). Let r(y) be the first derivative of y**4/4 - y**2 - 2. Let a(t) be the second derivative of r(t). Determine a(f). -6 Let y(g) = g**3 + 8*g**2 + 7*g - 4. Let r = -48 + 41. Calculate y(r). -4 Let a(h) = -3*h + 3. Suppose -6*j + 2 = -4*j. Let q be 4 + (-2 - 1) + j. Determine a(q). -3 Suppose 0*g - 6 = 2*g. Let j(k) = k**2 + 6*k + 1. Let m be j(-6). Let t(f) = 5 - m - 6*f**2 + 5*f**2. Calculate t(g). -5 Let p(n) = -n. Suppose y + 30 = 5*w - 1, 0 = 3*y + 4*w - 2. Let t = y + 8. Let x be 2 - t/(-1*2). What is p(x)? -3 Let q = 23 - 20. Let w(g) be the second derivative of 5/6*g**q + g + g**2 + 1/12*g**4 + 0. What is w(-3)? -4 Let p(g) = -10*g**2 - 14*g - 21. Let x(r) = 2*r**2 + 3*r + 4. Let k(f) = 2*p(f) + 11*x(f). Give k(-3). 5 Let k(o) = o**3 - 4*o**2 - 6*o - 2. Let p be 30/(-7) - (-4)/14. Let w(q) = -2*q - 3. Let c be w(p). Calculate k(c). -7 Let r(h) = 9*h**3 - 2*h**2 + 2*h - 1. Let a = -19 + 20. Calculate r(a). 8 Let x = -7 + -13. Let f be 9/5*x/(-6). Let u(k) = 2*k - 2. What is u(f)? 10 Let x = -1 + 3. Suppose x*p + 5 = v + 2, -24 = 4*v + p. Let y(l) = l + 3. Determine y(v). -2 Let o be 45/(-6)*(-2)/(-3). Let g(x) = 0 - 7*x - 6 - 8*x**2 + 2*x**2 - x**3. Calculate g(o). 4 Suppose -18 = 2*h - 8*r + 3*r, -3*h + 4*r - 13 = 0. Let c(s) = 22*s**3 - s**2 + s - 1. Calculate c(h). 21 Let f(q) = 6*q**2 + 6*q - 2. Let o(j) be the second derivative of -j**4/12 - j**3/6 + 2*j. Let c(g) = f(g) + 5*o(g). Give c(2). 4 Suppose 0 = -3*r + 6*r + 15. Let n(o) = -o - 2. Let p be n(-6). Let i(y) = y + 0 + 0 + p. Calculate i(r). -1 Let x(u) be the second derivative of -u**5/60 + u**4/6 + 2*u**3/3 - 7*u**2/2 - 2*u. Let k(w) be the first derivative of x(w). Determine k(4). 4 Suppose -7*f - 7 = 14. Let h(q) = -q**3 - q**2 + q - 4. Determine h(f). 11 Let r(q) = -q**2 - 10*q + 4. Let y(l) = -5*l**2 - 40*l + 17. Let z(t) = 9*r(t) - 2*y(t). What is z(11)? 13 Let y(m) = m. Let z(a) = a + 6. Let s be z(-6). Suppose -5*l - 5 + 0 = s. What is y(l)? -1 Let r(p) = p**2 + p + 1. Let k be 2/(-3) - (-90)/(-27). Determine r(k). 13 Let k(h) = h**2 + h - 2. Let m(j) = -3*j**2 - 2*j + 6. Let y(v) = 7*k(v) + 2*m(v). Determine y(-5). 8 Let g(m) = m + 7. Let w be ((-2)/(-6))/(4/36). Suppose 4*q + 20 = 5*l, -w*q - 20 = -2*q - 5*l. Determine g(q). 7 Let z(i) be the second derivative of -i**4/6 + i**3/2 + 3*i**2/2 + 7*i. Determine z(-2). -11 Let v be 2*(-4 - -3 - -2). Suppose -v = -3*z + 1. Let x(k) = k + 1. Determine x(z). 2 Let o(q) = -5*q. Let l = -5 + 4. Give o(l). 5 Let x(h) be the third derivative of -h**6/720 - h**5/30 + h**4/8 - h**2. Let o(c) be the second derivative of x(c). Determine o(-6). 2 Let c(f) be the first derivative of -f**2/2 - 5*f + 5. Give c(4). -9 Let u(r) = 5*r**3 + 4*r**2 - 4. Let l(p) = -p**3. Let j(f) = 4*l(f) + u(f). What is j(-4)? -4 Let f(o) = o**3 + 14*o**2 - 31*o + 16. Let w be f(-16). Let k(t) = -t + 16. Give k(w). 16 Let r(l) = -l**3 + 5*l**2 - 2*l - 3. Let b = -10 + 1. Let q = 13 + b. Suppose -t + 0 = -q. Calculate r(t). 5 Let r(l) = -l**3 - 15*l**2 - 13*l + 10. Let n(k) = -3*k**3 - 44*k**2 - 38*k + 29. Let i(p) = 6*n(p) - 17*r(p). Give i(-8). -4 Let h(l) = -l**2 + 6*l - 4. Let i(z) = 5*z + 37. Let s be i(-6). Give h(s). -11 Suppose 3 = 4*k - 21. Let w(z) = -2*z + 7. Calculate w(k). -5 Let m be 2 - (1 - 1/(-1)). Let d be m - 12/3 - -6. Let p(z) = -z**2 - 2*z + 2. Calculate p(d). -6 Let t be ((-9)/21 - 0) + 31/7. Suppose -4*l - 4*b = -36, -l + 2*l - 5*b = -21. Let d(o) = -3 + l*o - o**2 + 2*o - o. Give d(t). 1 Suppose -i = -4*i + 9. Let k(n) = -n**3 + 2*n**2 + 2*n + 3. Let g be k(i). Let v(l) = -1 + 0*l + g*l + l. Calculate v(-2). -3 Let l(q) = -q - 2*q + 0*q - 4. Determine l(-4). 8 Let k = 139 + -140. Let n(j) = 8*j**2 - 1. Determine n(k). 7 Let i(g) = g - 5*g - 4*g**2 - 2 + 0. Let u be (-5)/(-10)*1/(3/(-12)). Determine i(u). -10 Let d(u) = -9*u - 5. Let h(x) = -4*x - 2. Let g(m) = 3*d(m) - 7*h(m). Calculate g(-5). -6 Let p(y) = 179*y - 92*y - 73*y. Give p(1). 14 Let h = 4 + -4. Let l(b) = 7 - 1 - b - 72*b**3 + 71*b**3. Give l(h). 6 Let x(w) be the second derivative of -w**8/840 - w**7/1260 + w**5/120 + w**4/3 - 2*w. Let b(a) be the third derivative of x(a). What is b(-1)? 7 Suppose 4*d + 5 = -19. Let n be 10/15*d/(-4). Let k(b) be the second derivative of -b**4/12 - b**3/6 - 3*b. Determine k(n). -2 Let d(h) = -3*h**3 + 4 - 5*h**2 + 2*h**2 + 2*h**3. Suppose -21*i + 14*i = 21. What is d(i)? 4 Suppose -5*q + 1 = -14. Let u(h) = -h + 4*h + 3*h**3 - 3*h**3 - 1 - 2*h**q. Determine u(2). -11 Let b(v) be the first derivative of -2*v**2 - 1/3*v**3 + v - 3. What is b(-5)? -4 Let w = 56 - 69. Let l(u) = -u**3 - 13*u**2 + 2. Calculate l(w). 2 Let l(m) = 2*m**3 - 2*m**2 + 1. Let j be 4/24 + 82/12. Let b(p) = -p + 9. Let h be b(j). Calculate l(h). 9 Let i(p) be the first derivative of p**3/3 + 11*p**2/2 + 5*p + 22. Determine i(-6). -25 Let q(r) = r - 3. Let c = -1 + -4. Calculate q(c). -8 Let t(y) = -4*y**3 + 4*y**2 - 7. Let q(i) = i**3 + 1. Let j(m) = 3*q(m) + t(m). Calculate j(3). 5 Suppose 2*s - 4*s = 0. Let r(k) = k**3 + k**2 + k. Give r(s). 0 Suppose -2*q = -2*n + 6*n + 8, 3*n + 11 = q. Let z(g) = -6*g + 0*g**q - g + g**2 + 0 + 1. Give z(5). -9 Let g be -7 + 4 - (0 - 7). Suppose g*h - 12 = -4*z, h + 5*z + 1 = -0*h. Let w(t) = -t. What is w(h)? -4 Let i(b) = -b**2 + 8*b - 2. Suppose 19 = 5*j + 4*p, 0*p = 4*j + 2*p - 14. Calculate i(j). 13 Let c(w) = -w**3 - 9*w**2 - 10*w - 14. Let r be c(-8). Let y(p) = p**3 - 3*p**2 + 3*p - 1. Calculate y(r). 1 Let t(z) = -z**3 + 7*z**2 + 9*z - 5. Let d be t(8). Let i(n) = -2*n - 7 + n**d + n + 3*n + 0*n**3 + 6*n**2. Determine i(-5). 8 Let z be 3 + -1 + (4 - 3). Let h(u) = 3*u**2 - 4*u + 5. Let d(a) = 2*a**2 - 3*a + 4. Let r(w) = z*h(w) - 4*d(w). Let b be (-2)/((-8)/(-3) + -2). What is r(b)? 8 Let u(x) = 2*x**2 - 4*x**2 - 5*x + x**2 - 3. Let o(h) = 3*h - 7. Let g be o(8). Suppose 0 = -5*i - g - 3. Determine u(i). 1 Let i(v) = 4*v + 1. Suppose -4*r = -5*h - 17, 0*h - 5 = h. What is i(r)? -7 Let o(z) be the third derivative of -z**6/120 - z**5/10 + z**4/8 + z**3/6 - 30*z**2. Calculate o(-6). -17 Let f(p) = p**2 + 5*p - 7. Suppose 8*i + 35 = 3*i. Determine f(i). 7 Let h(o) = -o. Let w be 2 + (3 + -2 - -8). Let c(p) = 5*p - 1. Let l be 3*((-1)/3 + 1). Let b(r) = l*c(r) + w*h(r). Give b(-4). 2 Let h = 87 + -97. Let n(b) = -b**2 - 10*b + 1. Calculate n(h). 1 Let p(k) be the third derivative of -k**4/24 + k**3/3 + k**2. Let z be 27/(-6)*(0 - -2). Let h be 3/z - (-5)/15. Calculate p(h). 2 Let d(c) = c**3 + 8*c**2 - 9*c - 7. Let k be d(-9). Let f(o) = -o**2 - 5*o + 10. Let i be f(k). Let t(s) = -4*s**2 - s**3 - 3 - s - 4*s - s**2. What is t(i)? 1 Let l be -1 - -5*(3 - 2). Let s(d) = d + 1. Let q(o) = o + 9. Let v(b) = q(b) - 4*s(b). What is v(l)? -7 Let c be ((-14)/(-21))/(2/18). Let i(m) = -m + 10. Let x be i(c). Let r(z) = -z**2 - 2*z**2 + z - 3 - 6*z + z**3. Give r(x). -7 Let r(j) be the first derivative of -j**3/2 - 3*j**2 + 4*j + 3. Let i(t) be the first derivat
{ "pile_set_name": "DM Mathematics" }
b Let v = -485/6398 - -2/457. Let h = 3/7 - v. What is the nearest to h in 0.2, -3/2, 0.1? 0.2 Let g = -1414/5 + 283. Which is the closest to -1? (a) 4 (b) 16 (c) g (d) 2/5 c Let a = -0.9 - -0.4. Let p = 1.3 - 1.44. Let n = 0.36 - p. What is the closest to 1 in -4, n, a? n Let o = -10 + 5. Let m be (-1)/(6/4*(-8)/(-36)). Which is the nearest to 0? (a) -1/5 (b) o (c) m a Let w = -743 + 751. What is the closest to 0 in -0.3, -0.5, w, 3? -0.3 Let o = 12 - 11. Let d = -0.003 + 0.303. Which is the nearest to o? (a) -4 (b) d (c) -1 b Let d = -0.5 - -0.3. Let t = 288 + -287. Which is the nearest to t? (a) 5 (b) d (c) 0.4 c Let r = 0.11 + -0.4. Let l = 1.71 - r. Let o = -0.6 + 1. What is the nearest to 1 in -1/7, o, l? o Suppose -475*q + 7 = -468*q. Which is the closest to -0.72? (a) q (b) -0.1 (c) 5 b Let n be 1/(-3)*(-3)/2. Let x = 94 + -93. What is the nearest to n in -2/5, -1, x? x Let j be (3/(-12))/(60/16 + -4). Let w = -10 + -7. What is the closest to j in 1, w, -2/3? 1 Let s = 697.3 + -697. What is the nearest to -0.1 in -0.4, s, 0.06, -1? 0.06 Let y = -0.7 + 0.73. Let o = y + 0.47. Let m be (-3)/5 - 28/(-5). Which is the nearest to -4? (a) 4/3 (b) m (c) o c Let a = 59 + -59. Let c = -0.294 - 0.106. What is the nearest to 0 in c, 4/3, a? a Let h be 2*(-3 + 42/12). What is the closest to 0.3 in -0.2, 0.5, h? 0.5 Let g = -2011 - -2002. Which is the closest to -2? (a) -4 (b) 0.3 (c) 4 (d) g a Let t(w) = -w**3 + 26*w**2 - 23*w + 13. Let m be t(25). Suppose m = q - 8*q. What is the nearest to 0.1 in q, -5, 4? 4 Let j be -70 - 2/(3 + -4). Let r be 3/(-4)*j/(-85). What is the closest to 3 in -2/15, r, 3/7? 3/7 Let f = 0.98 + -2.98. Let c = 5 - 2. Suppose -i + l = -1, 0 = -c*i - 2*l + l + 19. What is the nearest to -1 in f, 4, i? f Let g = -278/7 - -40. Let z = -1 + -3. Let n = 1.4 - 1.1. What is the closest to n in z, g, -0.5? g Let h = -3.2 + -24.8. Let f = 15 + h. Let w = -13.5 - f. Which is the closest to 0.11? (a) w (b) -3/7 (c) 1 b Let g = -391 + 390.8. Which is the nearest to g? (a) 3/7 (b) -3 (c) 3/14 (d) -2/11 d Let p = 0.3 - 2.2. Let x = 0.6 + p. Let n = -1.2 - x. Which is the closest to -1? (a) 2 (b) n (c) 4 b Let f = -1 + 2. Let d = -0.05036 - 4.94964. Which is the closest to d? (a) f (b) 2 (c) 3/4 c Let b(d) = -d**2 - 18*d + 10. Let l be b(-17). Let g = 29 - l. Let c = 0.2 - 0.2. What is the nearest to c in 0, g, 0.3? 0 Let z = 4.7 + 0.3. Let w = 0.228 - 0.328. Which is the closest to w? (a) 2/11 (b) z (c) -0.3 c Let f be ((-6)/24)/((-3)/(-16)). Let t = -82 - -77. What is the nearest to 1 in -2/21, t, f? -2/21 Let z be (2 - (-33)/(-12)) + (-441)/(-1372). Which is the closest to -4? (a) -2 (b) z (c) -1/6 a Suppose -3*p = 4 - 19. Suppose -p*t - 2 = 18. Suppose 3*f - 2*h = 8, f + 2*h + 7 = 15. Which is the nearest to -1/4? (a) f (b) -2/9 (c) t b Let k = 9.6 + -9.1. Which is the closest to 0.5? (a) -2 (b) 1/4 (c) k (d) 5 c Let i = -89 - -89. Which is the nearest to -2? (a) -1 (b) i (c) -5 a Let s = 5 + -8. Let j = 35 - 31. What is the nearest to -13 in -1/3, j, s? s Let v = 0.5 + -0.3. Let g = -1357/2 - -679. What is the nearest to 2/5 in 3/4, g, v? g Let f = 8.8 + -3.8. Let q = 4 - 4. Suppose 0 = 2*s + 4*n + 20, 4*s + q*n = -2*n - 22. Which is the closest to -0.2? (a) f (b) -5 (c) s c Let z = 24325 + -72973/3. Let y = -0.06 - 0.34. What is the closest to -4 in z, 4, y? y Let l = 3011 - 3011. What is the closest to l in -0.5, -3/22, 3/2? -3/22 Let d = -0.3 + 0.1. Let b = -1.39 - 0.64. Let n = b - -0.03. What is the nearest to n in 4, -6, d? d Let c = -6.9 - -6.8. What is the nearest to -0.1 in 0.05, -0.2, c? c Let j = 114 + -119. Let m = -19 - -18. Which is the closest to -8? (a) -2/13 (b) m (c) j c Let r be (4/24)/((-17)/68). Suppose -n = -3*g + 4*n + 20, -5*n = -4*g + 20. Which is the nearest to g? (a) -1 (b) r (c) 2/9 c Let w be (-4)/22 - -27*(-120)/(-396). Which is the nearest to -4? (a) w (b) 0 (c) 1/4 b Let w = 1026 - 9262/9. Let r = 47/18 + w. Let q = 9/22 - 10/11. What is the nearest to r in 1, -0.1, q? q Let i = -11/30 + -2/15. Let p = -3802 + 11408/3. Which is the nearest to i? (a) 0.5 (b) 5 (c) p a Let x be -2 + 3 + (-9)/5. Let g be (-1)/2*(-8 + 4). Suppose y + g = -y. What is the nearest to y in x, -3, -0.5? x Let m = -6 - -5.7. Suppose -51 = -5*j + 14. Suppose 0 = -17*c + j*c. What is the nearest to -2 in m, c, 2/5? m Let g = -1263/5 + 8851/35. Let j(h) = -h**2 + 2*h. Let n be j(3). What is the closest to 0.07 in -2, n, g? g Let y = -0.1 - 0. Suppose 5*p = 2*f - 0*f - 5, -3*f - 4*p = 50. Let g be (11 + f)/((-5)/1). What is the closest to -0.1 in -3, g, y? y Let l = -16/55 - -1/11. Let n = 831 + -828. Which is the nearest to -1? (a) l (b) n (c) -3/4 c Let r = 0.328 + 0.672. Which is the nearest to r? (a) -3 (b) 3 (c) 0.3 c Let l be 0/6 + 1/2. Which is the closest to -1? (a) l (b) -4 (c) -3/8 c Let d = 58.4 + -63.4. What is the nearest to -1/4 in d, -26/9, 0.3, -4? 0.3 Let c be ((-5)/200)/((-6)/(-136)). Let a = c - -1/15. What is the nearest to -1 in a, 6, 2/7? a Let a = 116 + -349/3. What is the closest to a in 53, 5, -0.1? -0.1 Let l = -123 - -370/3. Suppose 0 = -3*x + 6*x + 15. What is the nearest to l in x, 0.3, 1? 0.3 Let m = -264 - -255. Which is the closest to 0.5? (a) 1 (b) m (c) 1/3 c Suppose -2*v - v = 198. Let h be -3 + 3/v*-62. Let m = 97 + -102. What is the nearest to -2 in -3, m, h? -3 Let n be (2/(-3))/((-5)/3). Suppose -3*w - 156 = -15*w. Suppose p = 2*u - 1, -p = -2*u + 7*u - w. Which is the nearest to n? (a) u (b) -3 (c) 0.1 c Let j = 3 - 0.8. Let a = j - 4.2. What is the nearest to -2 in a, -4, 5? a Let y be 5/(-15) + 11/15. Let x = 1882/3 - 628. What is the closest to x in 0.2, y, 1? 0.2 Let w = -7/2 - -25/6. Which is the closest to w? (a) -4.5 (b) -2 (c) -2/3 c Suppose -739 - 143 = -7*w. Let k be ((-4)/30)/((-28)/w). Let j = 0 - -4. What is the closest to k in j, -0.4, -1? -0.4 Let o = 84 - 84.527. Let j = o - -0.027. What is the closest to -1 in 1/12, j, -2/3? -2/3 Let b = -0.6 + 0.7. Suppose 2*i + 0 + 2 = 0, 3*i = 5*o - 23. Let h = -59 - -61. What is the closest to o in b, 2/21, h? h Let p be 0 - (20 + -27) - 22/3. Suppose 0 = l - 0*l - 2. Suppose 0 = t - j - 1, l*j = -t + 1. What is the nearest to t in -5, 2, p? 2 Let w be ((-99)/(-11) + -12)/15. Which is the closest to 3? (a) -4 (b) -6 (c) w (d) 2 d Let v = 1.3 + 2.1. Let a = -3 + v. Let i = -34.3 + 34. What is the nearest to 3 in i, 0.3, a? a Let b = 3.42 + -3.62. What is the nearest to b in -0.055, 2/11, 3? -0.055 Let v = 2.2 - 5.2. Which is the nearest to 1? (a) -4 (b) v (c) 1 c Let h be (10 - 14 - -1) + 13/3. Which is the closest to 3? (a) -5 (b) h (c) -2/5 b Let j = -0.8 + -0.2. Let s = -2833 + 19833/7. Let v be -3*(14/6 - 3). What is the nearest to v in -3, j, s? s Let p = -18.8 + 16.8. Which is the nearest to -5? (a) -4 (b) -0.1 (c) p a Let z = 159 - 111. Let l = z - 52. Let y = -2.8 + 3. Which is the nearest to -0.1? (a) 0.4 (b) y (c) l b Suppose 2*m + 6 + 6 = 0. Let a be (2/(-3))/(28/42). What is the nearest to a in 0.1, m, 1? 0.1 Let g = 27.9991 - -0.0009. Which is the nearest to 1? (a) 0.3 (b) -0.5 (c) g a Let d be (2 - 15/12)/(-3). Let i = -4811 + 4810. What is the nearest to d in 0, i, 9? 0 Let f = -0.15 - -5.04. Let g = 0.11 + f. What is the nearest to -1 in g, -5, 0? 0 Let y = -0.1 + -0.1. Let o = -2/431 - -447/3448. Let r = 0 - -2. Which is the closest to y? (a) -4 (b) o (c) r b Let k(j) = -35*j**2 - 2*j - 3. Let m be k(-1). Let y = m + 37. Let x = 0 + -1. Which is the closest to x? (a) -4 (b) -2/19 (c) y b Let h = -1/10 - 2/5. Let q = -339.6 + 343.6. What is the nearest to h in -1, q, 0.6? -1 Suppose -5*l = i - 2, 0 = -62*l + 58*l + i - 2. Which is the nearest to l? (a) -0.07 (b) 0.3 (c) 0 c Let j = 770 - 769.7. Let x be (-58)/(-30) - 2/1. Which is the nearest to -1? (a) -2 (b) x (c) j b Let v = -213.97 - -214. What is the closest to 1 in 1/4, 1, v, -1? 1 Let i = -1237 + 8656/7. What is the nearest to 1 in 4, 5, 2, i? 2 Let r = -2 + 2. Let t = -0.2 + r. Let q be 18/36 + 5/10*3. What is the closest to -2 in q, 0.1, t? t Let n = 3.8 - 4. Let k = 1/392 - -767/6664. What is the nearest to n in -1, k, -4? k Let k be 16/(-12)*
{ "pile_set_name": "DM Mathematics" }
of 113485693? 17, 131, 389 What are the prime factors of 19314838? 2, 47, 205477 What are the prime factors of 102226721? 179, 571099 List the prime factors of 1520686334. 2, 5471, 138977 List the prime factors of 1052596821. 3, 139, 2524213 List the prime factors of 51963013. 51963013 List the prime factors of 1194570034. 2, 7, 1831, 46601 List the prime factors of 1444183811. 7, 157, 347, 541 What are the prime factors of 1744434161? 107, 16303123 List the prime factors of 3033275235. 3, 5, 17, 19, 626063 List the prime factors of 87573285. 3, 5, 307, 2113 List the prime factors of 191031679. 191031679 List the prime factors of 106002069. 3, 251, 140773 What are the prime factors of 278360847? 3, 137, 75253 What are the prime factors of 5446821142? 2, 7, 389058653 What are the prime factors of 3727780? 2, 5, 7, 26627 List the prime factors of 713099187. 3, 17, 37, 199, 211 What are the prime factors of 113075369? 11, 10279579 What are the prime factors of 1277599785? 3, 5, 7, 11, 29, 5449 List the prime factors of 6472246257. 3, 3119, 230567 List the prime factors of 6000931308. 2, 3, 500077609 What are the prime factors of 71619995? 5, 29, 493931 What are the prime factors of 32944191? 3, 7, 1568771 List the prime factors of 1050998795. 5, 7, 11, 389981 List the prime factors of 21956887. 21956887 What are the prime factors of 66209103? 3, 131, 18719 List the prime factors of 51707871. 3, 73, 211, 373 List the prime factors of 7454919559. 277, 26913067 What are the prime factors of 67805657? 1567, 43271 List the prime factors of 1763565698. 2, 2311, 381559 What are the prime factors of 3232447603? 7, 11, 113, 33773 List the prime factors of 684883366. 2, 167, 181, 11329 List the prime factors of 185382283. 89, 2082947 What are the prime factors of 2094487393? 2094487393 List the prime factors of 2593013834. 2, 1296506917 List the prime factors of 280066485. 3, 5, 29, 83, 7757 List the prime factors of 21453126. 2, 3, 3575521 What are the prime factors of 82775029? 53, 151, 10343 What are the prime factors of 49048082? 2, 19, 367, 3517 List the prime factors of 1209290291. 11, 17, 61, 106013 What are the prime factors of 444352649? 13, 34180973 List the prime factors of 413723351. 977, 423463 List the prime factors of 512639. 19, 26981 List the prime factors of 223584045. 3, 5, 14905603 What are the prime factors of 396394249? 396394249 List the prime factors of 870996834. 2, 3, 1481, 10891 What are the prime factors of 182048284? 2, 11, 1627, 2543 List the prime factors of 80036028. 2, 3, 71, 173, 181 What are the prime factors of 127620977? 11, 1399, 8293 List the prime factors of 2510106470. 2, 5, 4057, 61871 List the prime factors of 182809572. 2, 3, 11, 1384921 List the prime factors of 24063315. 3, 5, 613, 2617 List the prime factors of 58084117. 7, 13, 37, 1327 What are the prime factors of 138192953? 138192953 List the prime factors of 45605594. 2, 17, 79, 16979 What are the prime factors of 1210077011? 11, 13, 199, 3271 What are the prime factors of 1317921281? 1317921281 What are the prime factors of 991418363? 13, 43, 67, 103, 257 What are the prime factors of 6029172732? 2, 3, 11, 29, 54311 List the prime factors of 1199541651. 3, 7, 11, 5192821 What are the prime factors of 71042059? 11, 1321, 4889 List the prime factors of 458770420. 2, 5, 23, 997327 What are the prime factors of 19179855? 3, 5, 31, 4583 List the prime factors of 99614884. 2, 29, 858749 List the prime factors of 76900380. 2, 3, 5, 1281673 What are the prime factors of 24602248? 2, 11, 279571 List the prime factors of 3736851761. 53, 70506637 What are the prime factors of 900879481? 211, 4269571 List the prime factors of 9058115. 5, 11, 157, 1049 What are the prime factors of 98020394? 2, 49010197 What are the prime factors of 138245776? 2, 103, 149, 563 What are the prime factors of 76259822? 2, 71, 537041 What are the prime factors of 433471285? 5, 13, 6668789 What are the prime factors of 364739588? 2, 43, 2120579 What are the prime factors of 108892472? 2, 13, 1047043 List the prime factors of 1165353957. 3, 129483773 What are the prime factors of 4536058134? 2, 3, 756009689 What are the prime factors of 1801667789? 1801667789 What are the prime factors of 348492016? 2, 101, 379, 569 What are the prime factors of 37412148? 2, 3, 3117679 List the prime factors of 591755944. 2, 13, 47, 121063 List the prime factors of 98821439. 41, 43, 56053 List the prime factors of 1710708017. 113, 15139009 List the prime factors of 63202718. 2, 31601359 What are the prime factors of 191432473? 23, 8323151 List the prime factors of 238006971. 3, 457, 19289 What are the prime factors of 13702425? 3, 5, 11, 17, 977 List the prime factors of 138110674. 2, 13, 977, 5437 List the prime factors of 601333047. 3, 7, 73, 18679 List the prime factors of 1128447843. 3, 376149281 What are the prime factors of 182400552? 2, 3, 844447 List the prime factors of 1464090192. 2, 3, 59, 389, 443 What are the prime factors of 425070860? 2, 5, 21253543 What are the prime factors of 476306445? 3, 5, 563, 56401 What are the prime factors of 135056664? 2, 3, 59, 31793 List the prime factors of 1218814043. 179, 353, 19289 What are the prime factors of 348272503? 2957, 117779 List the prime factors of 26871438. 2, 3, 11, 37013 List the prime factors of 313278356. 2, 1009, 77621 List the prime factors of 79059989. 109, 725321 List the prime factors of 232647289. 7, 33235327 List the prime factors of 162718463. 41, 3968743 List the prime factors of 1177350570. 2, 3, 5, 11, 73, 1481 List the prime factors of 3620557890. 2, 3, 5, 31, 41, 1021 List the prime factors of 49878295. 5, 379, 26321 List the prime factors of 73384209. 3, 37, 220373 What are the prime factors of 1693229568? 2, 3, 281, 3923 List the prime factors of 120979150. 2, 5, 2419583 What are the prime factors of 5730887769? 3, 59, 199, 162703 What are the prime factors of 1020703196? 2, 255175799 What are the prime factors of 255101309? 59, 4323751 What are the prime factors of 657510453? 3, 23, 352931 What are the prime factors of 861161223? 3, 13, 22081057 What are the prime factors of 244495796? 2, 23, 2657563 List the prime factors of 56941293. 3, 18980431 List the prime factors of 953633061. 3, 23, 179, 373 What are the prime factors of 290873707? 953, 305219 List the prime factors of 107195329. 107195329 List the prime factors of 54370671. 3, 18123557 List the prime factors of 3522992. 2, 11, 37, 541 List the prime factors of 5453575495. 5, 1090715099 List the prime factors of 45338009. 19, 2386211 List the prime factors of 233196585. 3, 5, 15546439 List the prime factors of 55908267. 3, 4297, 4337 What are the prime factors of 410874304? 2, 6419911 What are the prime factors of 6062861943? 3, 19, 35455333 List the prime factors of 160972575. 3, 5, 17, 251, 503 List the prime factors of 613462704. 2, 3, 53, 241141 List the prime factors of 118100923. 118100923 What are the prime factors of 5080740838? 2, 3083, 823993 What are the prime factors of 45141560? 2, 5, 1128539 What are the prime factors of 155337868? 2, 7, 73, 75997 List the prime factors of 1500254254. 2, 750127127 List the prime factors of 38831694. 2, 3, 11, 588359 What are the prime factors of 375292330? 2, 5, 7, 5361319 What are the prime factors of 15513109? 23, 674483 List the prime factors of 1815707036. 2, 11, 13, 3174313 What are the prime factors of 12598964? 2, 7, 449963 List the prime factors of 308035793. 13, 383, 4759 What are the prime factors of 209157097? 47, 4450151 What are the prime factors of 5220694150? 2, 5, 7, 61, 244529 List the prime factors of 41546766. 2, 3, 593, 11677 What are the prime factors of 392038538? 2, 2903, 67523 What are the prime factors of 151445528? 2, 13, 79, 18433 List the prime factors of 112617359. 112617359 What are the prime factors of 52006409? 7, 13, 41, 53, 263 What are the prime factors of 2209429400? 2, 5, 3203, 3449 List the prime factors of 88700810. 2, 5, 11, 806371 What are the prime factors of 42957911? 71, 167, 3623 What are the prime factors of 89012047? 23, 37, 104597 List the prime factors of 882365509. 7019, 125711 List the prime factors of 131346155. 5, 463, 56737 List the prime factors of 9771716. 2, 5
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of l and g/880*(-2)/5. 44 Suppose -46 = 4*t - 302. Let r = t + -62. Suppose 2*v - 2*i = 2*i - r, 5*i - 25 = 0. Calculate the smallest common multiple of v and 11. 99 Let n = 736 - 1234. Let l be n/(-21) - (-2)/7. Let p = l - 20. What is the lowest common multiple of 20 and p? 20 Let c = 620219/68 + -9120. Find the common denominator of (67/12 - 1) + (-163)/((-7172)/(-264)) and c. 204 Suppose 181 = -4*h + 717. Let b = 122 - h. Calculate the common denominator of 64/63 and (b/(-198))/(4/142). 693 Suppose 3*u = 3*q + 5481, 4*u - 3*q = 2759 + 4542. Calculate the lowest common multiple of 520 and u. 3640 Suppose 4*f - 6*f + 4*k - 462 = 0, 5*f - 2*k = -1179. Let u = f + 247. Calculate the least common multiple of 179 and u. 1790 Find the common denominator of -7*(-12)/(-96)*(-66)/28 and -5/272. 272 Let h = 1061/1148 - 95/41. Let t be (-21174802)/(-3080) + (-6)/21. Let n = t + -6872. What is the common denominator of n and h? 140 Find the common denominator of (145/(-2) + 0)/(84/4) and 4 + 4 - 2096/224. 42 Let k = 178830133/23430 + -83958/11. Find the common denominator of k and -15/22. 23430 Suppose 244*h - 250*h = -1452. Let j = h - 197. What is the lowest common multiple of 15 and j? 45 Suppose 0 = -7*b + b - 24. Let j be (-12)/(-9)*(-6)/b. Suppose 0*s + 4*g + 6 = -s, -3*s = -j*g + 60. Find the common denominator of s and 101/6. 6 Let j = -819 - -843. Suppose -2*q + 3718 = j*q. What is the smallest common multiple of q and 182? 2002 Let b(k) = 4*k + 46. Let j be b(-11). Suppose -y - 3*g + 1 = -10, 3*g - 19 = -j*y. Calculate the least common multiple of 22 and y. 88 Let o = 170 - 161. What is the common denominator of 31/5 and (21 - 64)/(1 + o)? 10 Let a = -2960 + 8503. Let o = -388001/70 + a. What is the common denominator of o and 10/49? 490 Calculate the common denominator of 186/(-279)*462/(-8) and -30/1601. 3202 What is the smallest common multiple of (-90)/(2 + -3) - 0 and 32/80*(2772/11 + -2)? 900 Let h(d) = 35*d + 75. Let m(a) = a**2 - 103*a - 226. Let u(r) = 8*h(r) + 3*m(r). Calculate the smallest common multiple of 261 and u(12). 522 Let m(j) = 131*j - 29. Calculate the smallest common multiple of 510 and m(1). 510 Suppose 5*y = 5*p + 2*y + 129, 4*p + 105 = 3*y. Let w = 26 + p. Calculate the common denominator of (w + 88/(-126))/(1/3) and -71/21. 21 Let n = 6269 + -6104. What is the lowest common multiple of 90 and n? 990 Calculate the common denominator of 131/2640 and (510/126225)/((-8)/246). 2640 Suppose -k - 23 = -2*f - 3*f, 0 = -f + 5. Calculate the common denominator of 29/14 - -2 - k and 58/16 + (-625)/125. 56 Let z be 17365/28 + 96/168. Let v = z + -625. What is the common denominator of v and 23/8? 8 Let q be -30*((-4)/16)/((-3)/6). Calculate the common denominator of 52/9 and 82/(-205) + (-281)/q. 9 Let d(y) = 8*y**2 - 18*y - 38. Calculate the least common multiple of 1947 and d(4). 11682 Let f be (-8)/6*27/18. Let h be (f - (-184101)/28500)/((-6)/3). Let m = 7/1000 - h. What is the common denominator of m and 85/14? 266 Let h be (-449470)/11 - 1/(-11)*-1. Let s = h + 2574179/63. Calculate the common denominator of s and -68/21. 63 What is the least common multiple of ((-2)/(-3))/((-1376)/690 + 2) and 92? 460 Find the common denominator of 3504/48*(2410/804 - 1 - 2) and 75/4. 804 Let y be (2 - -576)*(7/14 + 1). Find the common denominator of (-2)/(-7) + y/126 + -3 and 145/6. 6 Calculate the common denominator of 2 + -1 + (338/(-1183) - (-10491)/(-13580)) and -95/2134. 21340 Let q be (-4709)/85 + 4/10. Let l = 72 + q. Suppose l*w - 1080 = 2*w. Calculate the smallest common multiple of 22 and w. 792 Let j(w) = 40*w**3 + 10*w**2 - 43*w + 39. Calculate the smallest common multiple of 1260 and j(3). 7560 Let r = -13803 - -137911/10. What is the common denominator of 2*(-110)/(-488) + 0 and r? 610 Let l(q) = -q**3 + 7*q**2 + 9*q - 4. Let w be l(8). Suppose -w*p = -7*p + 87. What is the least common multiple of 2/(-15) - (124/15)/(-2) and p? 116 Let y be 28067364/1026 - 2/19. Let o = y + -601937/22. Find the common denominator of o and 2/4*(-19)/(-1). 22 Let v = -6966 + 7962. What is the lowest common multiple of v and 1992? 1992 Let o be (-213)/(21/(-3) + 4). Suppose -4*d + 159 = o. Calculate the smallest common multiple of 18 and d. 198 Let l(r) = -21*r - 15. Let d be ((-78)/18)/13 - (-4)/(-6). Calculate the lowest common multiple of 5 and l(d). 30 Let t = 311 - 248. Suppose 6*v = 33 + t. Let h(r) = -r**3 + 4*r**2. What is the least common multiple of h(2) and v? 16 Let b = -1593/104 + 35/13. Let n be (2089/6)/(110/(-30)). Let f = -95 - n. Calculate the common denominator of b and f. 88 Let r = 6591059/118 + -55857. Let t = r - -7251/1652. Calculate the common denominator of -27/44 and t. 308 Suppose 4*x - 3*u = 126, 3*x - u = 93 + 4. Let c(z) = 2*z**3 - 9*z**2 - 84*z - 59. Calculate the least common multiple of x and c(10). 2211 Let q = -54610 + 152634953/2795. Let g = q + 64249/33540. Find the common denominator of g and (460/36)/((-4)/3). 12 Let k = -64133 + 5002463/78. Calculate the common denominator of 97/130 and k. 390 Let w = 154951/10 - 15489. Calculate the common denominator of w and 29/475. 950 Suppose 77*o - 14327 = 7849. Calculate the lowest common multiple of o and 15. 1440 Suppose 16590 = 6*i - 4*i + 5*f, -i = 4*f - 8301. Let c = i - 44904699/5420. Let l = c + -189733/178860. Find the common denominator of l and -16/3. 33 Calculate the common denominator of ((-518)/63)/((16/(-3))/(-4)) and -115/4578. 4578 Let n = 3653380/1001 + -25551/7. Calculate the common denominator of 9/1703 and n. 18733 Suppose s + 265 = -2*i, 2*i + 493 = -3*s - 294. Let y = s - -264. Suppose 3*t + 8 = -7, -u = t - 2. Calculate the lowest common multiple of u and y. 21 Let z(g) = 84*g - 12. Let n be z(3). Suppose o + 2*s - 48 = s, 5*o - n = -s. Find the common denominator of 45/4 and o. 4 Suppose -6*w + 7*w - 185 = 0. Let i(t) = t**2 - 89 + w + 4*t - 92. What is the least common multiple of i(-5) and 11? 99 Let v = 12 - 9. Suppose 0 = -0*x - x + v. What is the least common multiple of x and (-93)/(-24) + (-23)/(-184)? 12 Suppose 5*o = -4*q + 389, -138*o + 2*q = -135*o - 229. Suppose 21 + 342 = 11*z. Calculate the lowest common multiple of z and o. 231 Let c(z) = -2*z**2 - 14*z - 11. Let f be c(-9). Let t(i) = -15*i + 76. Let p be t(7). Let y = p - f. What is the smallest common multiple of y and 2? 18 Suppose 6*p + 4*o - 520 = 2*p, -3*p + 3*o + 384 = 0. What is the lowest common multiple of p and 102? 4386 Let g = 19 - 17. Calculate the smallest common multiple of ((-21)/g)/((-6)/12) and 4/(4/75)*(-12)/(-30). 210 Find the common denominator of -3 + (-3)/54*(3 - 2667/56) and 41/336. 336 Let a(o) = -6*o**2 - 81*o + 159. Let d(f) = f**2 + 16*f - 32. Let w(j) = 2*a(j) + 11*d(j). What is the least common multiple of w(8) and (1 + -2)*26/(-1) + -4? 154 Suppose -11 = l + 11. Let r = 2932 + -17675/6. Calculate the common denominator of (4/12)/(l/150) and r. 66 Let w be 3864/45 + 6/45. Let i = w - 58. Suppose 0 = -12*c + 8*c + i. Calculate the least common multiple of 1 and c. 7 Let m = 27448 + -3293791/120. Find the common denominator of m and 86/225. 1800 Let f = -1039/146 - -300652/41391. Find the common denominator of 35/1296 and f. 9072 Suppose -12*n + 134 = -41 - 5. What is the lowest common multiple of 3714 and n? 18570 Let z = -18 + 21. Suppose -z*r + 36 = 6*r. Suppose -4*p + 36 = -r*g, p + 4*g + 7 = 21. Calculate the lowest common multiple of p and 8. 40 What is the least common multiple of 243 and 2*-68*(-1)/8 + 1? 486 Let p be -34*(-3)/(-18) - 8/(-12). Let g be (-92500)/(-21552) + (p - -1). Let w = -1/3592 + g. Calculate the common denominator of w and 58/9. 72 Let f = 15406 - 13354. What is the least common multiple of f and 72? 4104 Suppose -y + 7*s + 80 = 3*s, y - 5*s = 83. Let j be 12/(-30) + 57/5. Suppose 20 + y = j*w. What is the lowest common multiple of w and 92? 184 What is the smallest common multiple of 4 and (-40225)/(-7) - (-2290)/(-1603)? 22980 Suppose -11*u + 24 = -207. Calculate the lowest common multiple of 245 and u. 735 Calculate the smallest common multiple of 16 and ((-70)/385*(-33)/6)/(2/106828). 427312 Let i(c) = -94*c + 51. Let h(x) = 31*x - 17. Let m(j) = 7*h(j) + 2*i(j). Let w be
{ "pile_set_name": "DM Mathematics" }
factor of o and w. 3 Suppose 5*z - 108 + 3 = 0. Let x = 418 - 397. Calculate the greatest common factor of z and x. 21 Suppose 3*q - 128 = 16. Suppose 0*u - 182 = -4*s + 2*u, s + 2*u - q = 0. Calculate the highest common divisor of 115 and s. 23 Let t = 10 - 10. Suppose 3*k - 2*k - 18 = t. What is the highest common factor of k and 9? 9 Suppose 3*h - 7*h = 4, -18 = -2*a - 4*h. Suppose -a*i = -9*i - 90. What is the highest common divisor of i and 315? 45 Let m(t) = 3*t**3 - 6*t**2 + t - 4. Let b be m(4). Let v(x) = -9*x - 39. Let l be v(-7). Calculate the highest common divisor of b and l. 24 Let d(y) = 6*y**2 - 13*y - 30. Let a be d(-3). Calculate the highest common factor of 35 and a. 7 Suppose 2*b = -2, -3*b = 3*c - b - 13. Let l(s) = s + 10*s**2 - c*s - s**3 - 5*s + 8. Let m be l(9). What is the highest common divisor of 8 and m? 8 Suppose -2*z + 35 + 15 = 0. Suppose 0 = -2*p - 2*u + 34, -z = -2*p + 5*u - 12. Calculate the greatest common factor of 140 and p. 14 Let m be (-4)/(-10)*35/1. Calculate the highest common divisor of 21 and m. 7 Let v(x) = 7*x**2 - 3*x + 1. Let d be (-205)/(-65) + (-6)/39. Let f be v(d). Suppose 19 - f = -4*m. What is the greatest common divisor of 81 and m? 9 Suppose 3*h = 7 - 16, w - 3*h - 1724 = 0. What is the highest common factor of 35 and w? 35 Suppose 3*i + 9 - 30 = 0. Let t = 23 - i. Let p = -122 + 250. What is the highest common divisor of t and p? 16 Let u = 935 - 522. Calculate the greatest common factor of u and 59. 59 Suppose -z = -6*z - 5*u + 170, -5*u - 103 = -2*z. Let j = z + -14. Let y = j + -10. What is the greatest common divisor of 105 and y? 15 Let d be (-1)/(-3) - 1 - 1316/6. Let q be ((-4)/10)/(0 - (-4)/d). What is the highest common divisor of q and 2? 2 Let s(o) = o - o + 4*o - 6. Let j be s(8). Let g be ((-2)/(-4))/(5/390). What is the highest common divisor of j and g? 13 Suppose 2 = 2*y - 5*w - 2, -4*y = -5*w - 8. Calculate the highest common divisor of 18 and y. 2 Let n(b) = 25*b - 32. Let z be n(7). What is the greatest common factor of z and 66? 11 Suppose 0 = 3*b + 3*p - 2124, -3*b + 0*p - 5*p + 2132 = 0. Calculate the greatest common divisor of b and 64. 64 Let z be 6/(-2)*9/(-1). Let w be (-160)/(-3) - 3/(-27)*-3. Let g = w - 35. Calculate the greatest common factor of z and g. 9 Let l(u) = 5*u**2 + 3*u**2 - 7*u**2 - 8*u - 15. Let o be l(10). What is the highest common factor of o and 5? 5 Let s = -201 - -237. What is the greatest common factor of s and 90? 18 Let a = 23 - 11. Let h = -27 + a. Let z = h - -28. What is the highest common factor of z and 13? 13 Suppose -3*q + 66 = -42. Suppose -6*c = -2*c - q. Let m = 0 + c. Calculate the greatest common divisor of 3 and m. 3 Let x = -15 - -25. Suppose -5*r + 433 = -17. Let u be 6/r*753 - (-1)/(-5). Calculate the highest common factor of x and u. 10 Let p = -196 + 199. What is the highest common factor of 57 and p? 3 Let k be (-2 - (-18)/8) + (-3915)/(-180). Let y = 89 + 22. Suppose 4*v = 21 + y. What is the highest common divisor of v and k? 11 Suppose -13*h + h = -264. Let i(a) = -2*a + 51. Let u be i(h). Let z(s) = -s**3 + 6*s**2 - 3*s + 4. Let m be z(5). What is the highest common factor of u and m? 7 Let f(a) = -2*a**2 + a + 4. Let h be f(0). Suppose h*g + g - 35 = 0. Calculate the highest common divisor of 56 and g. 7 Let w be (417 - -3) + -2 + -2 + 0. Calculate the greatest common factor of 32 and w. 32 Let n(u) = u**2 - 14*u - 109. Let q be n(20). What is the highest common factor of q and 1? 1 Suppose 2*a - f - 247 = 129, -5*a + 918 = 3*f. Calculate the highest common factor of a and 868. 62 Let v = -1 + 4. Let g = -2 + v. Suppose -35 = -2*z + g. What is the greatest common divisor of 18 and z? 18 Let n = -202 + 797. What is the highest common divisor of n and 35? 35 Let s = -202 + 688. Calculate the highest common divisor of s and 54. 54 Suppose 5*s = 29 + 1. Let n(d) = -5*d + 0*d**3 + 2 + 3*d - 2*d - 5*d**2 + d**3. Let y be n(s). Calculate the greatest common divisor of y and 2. 2 Suppose -13 = -y - 3*r, 0*r - 6 = 2*r. Suppose -2*m = -332 + y. Let i = -83 + m. What is the greatest common factor of 18 and i? 18 Let p = -11 + 29. Suppose 114 = -y - 26. Let v = y + 266. What is the highest common factor of p and v? 18 Suppose 0 = 4247*p - 4250*p + 2106. What is the greatest common factor of 216 and p? 54 Let r be 138 + -9 + 13 + 9/(-1). What is the highest common divisor of 14 and r? 7 Let v be 5 + 0 - (11 + -10). Suppose -5*w - 17 = -2*j + v, 0 = -4*j + 4*w + 36. What is the highest common factor of j and 8? 8 Let i = -14 + 75. Let x = -17 + i. Suppose -x + 24 = -t. Calculate the highest common divisor of 8 and t. 4 Let u = -108 - -268. Suppose 8*s - 16*s + u = 0. Calculate the highest common divisor of s and 20. 20 Suppose 30 - 230 = 5*n. Let z = 54 - n. Suppose -z = 5*j - 469. Calculate the greatest common factor of 30 and j. 15 Suppose 66*z - 24565 - 38993 = 0. What is the greatest common factor of z and 3? 3 Suppose 110 = 5*b - c, -b = b - c - 41. Suppose -14*k + 17*k = r + 619, 3*k - 5*r - 611 = 0. What is the greatest common divisor of k and b? 23 Suppose 728*b + 40 = 730*b. What is the greatest common divisor of 570 and b? 10 Let l(j) = -122*j - 1080. Let c be l(-9). Let k = -6 - -18. What is the highest common divisor of c and k? 6 Suppose 2*u + w = 0, 5*u - 2*w = 2*u - 14. Let p be 1/2 + (-127)/u. Let k = -8 - -16. What is the highest common divisor of k and p? 8 Let w = -533 - -563. Calculate the greatest common factor of 6 and w. 6 Let b = 9 + -11. Let l be 13/((-39)/(-90)) - b. Suppose 2*h - l - 56 = 0. Calculate the greatest common divisor of h and 4. 4 Suppose 2*n = -2*n + 96. Let a be 11*3/(-9)*3. Let s = -5 - a. What is the highest common factor of s and n? 6 Suppose 2*z + 64 = -0*z. Let y be (0 - (-3)/3)/((-8)/(-448)). Let d = z + y. Calculate the highest common factor of 96 and d. 24 Let x be (-27)/(-15) - (-2)/10. Let s be 2*x/6*18. Suppose 0*m - s = -m. Calculate the highest common divisor of m and 84. 12 Let c be 209/57 - (-4)/3. Suppose -4*v = 2*b - 116, 2*b - 7*b = -c*v - 365. What is the greatest common divisor of 17 and b? 17 Let j = 356 - -6. Suppose -10*t = -518 - j. What is the greatest common factor of t and 132? 44 Let v be 40/18*171/38. Let d(j) be the second derivative of -5*j**3/2 - j. Let t be d(-2). Calculate the greatest common factor of v and t. 10 Let g be -1 + 0 + 3*1. Let v(q) = 20. Let m(c) = -c - 81. Let j(l) = -2*m(l) - 9*v(l). Let k be j(14). What is the highest common factor of k and g? 2 Suppose 265 - 210 = 5*p. Calculate the highest common divisor of 77 and p. 11 Let n = 67 - 34. Suppose -5*y = -5*s + 10, -2*s = -7*s - 2*y + 24. Suppose -3*o + s*o = 11. What is the greatest common factor of n and o? 11 Let v = -163 + 254. Let x = 1 + 1. Let h be 25/x - 2/(-4). What is the highest common factor of h and v? 13 Suppose 2*l = -4*x + 194, -8*l - 331 = -11*l + 4*x. Calculate the highest common factor of l and 140. 35 Let c = -4 - 0. Let k = c - -22. What is the greatest common divisor of k and 144? 18 Let k be 9*(12 - (-3)/1). What is the greatest common factor of 15 and k? 15 Let y = 40 - -11. Let h = y + 26. Let x be h/7 - (-1 - -2). Calculate the highest common divisor of x and 2. 2 Let f(m) = 2*m - 23. Let a be f(13). Suppose -2*j = -a*j - u + 12, 8 = -2*u. Let q be -4*4*(-2)/2. Calculate the highest common divisor of j and q. 16 Let g = 860 - 704. What is the greatest common divisor of 546 and g? 78 Let f(b) = b**2 - 6*b - 2 + b - 1. Let w be f(9). Let t = w - 19. Calculate the greatest common divisor of t and 7. 7 Suppose q = 3*q + 80. Let b = q - -100. Let m = 20 - 8. What is the greatest common factor of b and m? 12 Let z be (2 + 0)/(3/36). Suppose 4*r - 7*r = -180. What is the greatest common divisor of r and z? 12 Let j = 45 + -21. Let m be (6/18)/((-1)/3)*-264. What is the highest common divisor of j and m? 24 Suppose -7*u + 24 = -4*u. Suppose -3*g - 56 = -4*g. Calculate the greatest common divisor of u and g. 8 Let f = -479 + 649. Calculate the greatest common divisor of f and 10. 10 Suppose -55*m + 396 = -11*m. What is the highest common divisor of m and 1143? 9 Let z(h) = -h**2 - 7*h - 4. Let f be z(-6). Suppose 5*q + 5*a - 95 = 0, -f*q + 3*a + 11 = -q. Calculate t
{ "pile_set_name": "DM Mathematics" }
st to j in -1, 0.5, q? -1 Suppose 111 - 107 = -z. What is the nearest to -1 in 3/2, 1/2, z? 1/2 Let s = 1509 + -1527.06. Let h = s + 18. Which is the nearest to 0? (a) 4 (b) 3 (c) h c Let p = -23 - -27. Let x be (-45)/(-50)*28/63. Let w = 4 - 10. Which is the closest to x? (a) p (b) 5 (c) w a Let t be (3/54)/(4/(-24)). What is the nearest to 3 in -0.3, t, 0.08? 0.08 Let l = -42 + 41. Let c = 29 + -29.1. What is the closest to c in 0, -0.3, l? 0 Suppose 5*k = 2*v - 6, 22*k - 24*k - 6 = v. Let m = 3.6 - 4. What is the closest to k in 1/4, m, 2/7? m Let m be (2/10)/((-78)/65). What is the closest to 3 in -4/7, -6/11, m? m Let q = -152 - -156. Which is the closest to -1? (a) -2/11 (b) 6 (c) -0.1 (d) q a Suppose -2*n - 2*n + 4 = 0. Let t be -3 + 6 - (-3 - 0). Let m = -9 + t. Which is the closest to n? (a) -5 (b) 2/3 (c) m b Let y be (-17 - -21) + 25/(-6). Which is the closest to 0? (a) 2/9 (b) y (c) 0.1 (d) -0.9 c Let o = -3 + 0. Let w = -0.04 - 0.96. Let z = 1.3 - 0.8. Which is the nearest to w? (a) z (b) o (c) -2/3 c Let f = -6 - -2. Let w = -2 - f. Let o = 34 + -35. Which is the closest to o? (a) w (b) -1/3 (c) -0.1 b Let n = 103/4 - 26. Let r = 55.54 + 0.46. Let h = -58 + r. Which is the nearest to n? (a) h (b) 0.2 (c) 0 c Suppose -26*v + 15 - 41 = 0. Which is the closest to v? (a) -1 (b) 0.4 (c) -0.5 (d) 2.4 a Let p = -66.98 - 1.02. Let s = 69 + p. Which is the nearest to 0.1? (a) s (b) 3 (c) -3 a Suppose 12 = -4*g - 2*r, -5*r = -3*g - g + 16. Let f = -644 + 643.5. Which is the nearest to 11? (a) g (b) -0.1 (c) f b Let z = 7.12 - 7.32. Which is the closest to 0? (a) 2 (b) z (c) -0.1 c Let i be ((-19)/(-57))/((-24)/9). What is the nearest to -3/4 in -4, 0.37, i? i Let t = 1.96 + -5.54. Let w = 0.58 + t. What is the nearest to 2/3 in w, -0.3, 0.4? 0.4 Let d = 295 - 295. Which is the nearest to d? (a) 10 (b) -0.4 (c) 5 b Let p = -219 - -220. What is the closest to p in -4/5, -2, 0.1, -4? 0.1 Let s be (-1)/(-7*(-13)/(-1183)). What is the closest to -1/4 in s, -2, -4? -2 Suppose -3*d - 12 = 0, k + d = 4*d + 72. Which is the closest to 2? (a) k (b) 1/2 (c) -0.2 b Let v = -8 - -3. Let p(b) = 5*b + 3. Let h(s) = 14*s + 9. Let j(n) = -3*h(n) + 8*p(n). Let w be j(-3). What is the nearest to 2/3 in -0.4, w, v? -0.4 Let y be (-1)/(-2)*(-2 - -1). Suppose -5*x - 15 = -k, -5*x = -3*k - 4*x + 17. What is the closest to y in -1, k, 1? -1 Let i = 6.81 + -9.81. Which is the closest to 0.6? (a) -1/7 (b) i (c) 7 a Let k be (0 - 2)/((-4)/(-2)). Suppose 3*p = 5*p - 192. Let o = 100 - p. What is the closest to k in o, 1, 0.2? 0.2 Let w = 7.37 + -0.37. Let h = 6.8 - w. What is the closest to 1 in h, -3, 1/4? 1/4 Let i = -126 - -127. Let r = -9.08 + 9. Let p = r + 1.08. Which is the nearest to p? (a) -0.5 (b) -0.4 (c) i c Let d = 1 + -6. Suppose 4 + 8 = 6*y. Suppose -o - o + y = 0. Which is the nearest to 0? (a) o (b) d (c) 4 a Let p = -272 + 270. What is the nearest to 1/3 in 6/13, 5, -0.1, p? 6/13 Let v(s) = s**2 - 8*s + 6. Let k = -15 - -22. Let l be v(k). Which is the closest to 0.1? (a) 3/5 (b) l (c) 2 a Let h be 54/(-56) + (-245)/(-20) + -11. Which is the nearest to 10/7? (a) h (b) -0.2 (c) 0.5 (d) 0.2 c Suppose -3*x = 2*x - 3*b - 17, 0 = 5*x - 2*b - 18. Let a be 2/(-6) - (-2)/x. What is the nearest to -1 in -0.07, -3, a? -0.07 Let j be 10/(-4)*(-10)/15. Let f be 0 + (1 - 1 - 1). Let q = -84 + 83.5. What is the nearest to 1 in f, j, q? j Let o = 8 + -13. Let u = -38.77 - -39. Let n = u + -0.03. What is the nearest to n in -2/7, o, 3? -2/7 Suppose -2*z - z = 6. Let y = 141 + -139.76. Let b = y - 1.34. What is the nearest to 2/3 in -0.4, z, b? b Let h = -74.3 - -77.3. Let m be (-2 + 1)*1*1. What is the closest to h in 0.1, 0.3, m? 0.3 Let g be 14/6 - 1 - 0. Let k = 1.609 + -1.51. Let u = -0.499 + k. What is the closest to u in 3, -2, g? -2 Let o = 405 + -402.81. Let j = o - 0.19. Let m be (-65)/(-25) - 1*3. Which is the nearest to j? (a) m (b) 0.3 (c) 1 c Let m = -0.1665 + -0.0335. Which is the nearest to m? (a) -3 (b) 0 (c) -35 b Let d = 429 + -429.514. Let g = d - -0.014. Which is the nearest to 2/5? (a) g (b) -2 (c) 3/8 c Let u = -1.378 + 0.018. Let d = u - 0.64. What is the nearest to 2 in d, 1.2, -2/3? 1.2 Let y = 1.2 + -23.7. Let l = -12.5 - y. Which is the nearest to l? (a) -1/10 (b) 3 (c) -2/11 b Let i = 18 + -14. Let f be 3/6*-2 + 26. Let v = 27 - f. What is the closest to 1 in i, -2/15, v? v Let l = 0.2 + -8.2. Let m = 2028 - 2029.017. Let q = m + 0.017. What is the nearest to q in l, -1/3, -2/11? -1/3 Let f = -7.78 + 7.58. What is the closest to f in -1/3, -1, 1.17? -1/3 Let g = 22487 - 134483/6. Let o = 217/3 - g. Let h = 3/55 + 269/110. Which is the nearest to 2/9? (a) -3 (b) o (c) h b Let p = -0.2 - 0.3. Suppose -z + 5 = 4*z. Let x = 0.072 - -0.128. Which is the closest to z? (a) -5 (b) p (c) x c Let s = -25 + 29. Let h = 83.8 - 84. Which is the closest to -1? (a) s (b) h (c) -3/7 c Let h = -118 + 119. What is the closest to -1/3 in h, 2/9, 0? 0 Let w = 35 + -243/7. What is the closest to -30 in 4, w, -0.1? -0.1 Suppose 494*k - 503*k = -9. Which is the closest to 2? (a) -4 (b) -3 (c) k c Let g = -14/3 - -37/6. Which is the closest to 0.9? (a) -2 (b) 1/5 (c) g c Let l = -3454/9 + 384. What is the nearest to l in -4, -3, 1? 1 Let t be (-20)/60*4/(8/6). What is the nearest to -0.1 in 1, -2, t? t Let x = -3 - 0. What is the closest to 5 in x, 5, 1/8? 5 Let y = -0.006 - -2.106. Let l = 2 - y. Let b be (1 + 1)/(6/(-4)). What is the closest to l in 2, 0.1, b? 0.1 Let o(j) = -16 - 6*j + 11*j + j**3 + 15*j - 13*j**2 + 37. Let q be o(11). Which is the nearest to -0.1? (a) 1 (b) q (c) -4/5 c Let o = -76 - -611/8. Let k = -4/55 + -23/440. Let y = 0.43 + -0.23. What is the nearest to 0 in o, y, k? k Let g = -49 - -247/5. Suppose 3*d + d + 12 = 0. Which is the closest to 0.2? (a) d (b) g (c) 0.5 b Let y = -3167 + 3166.6. Let o = -0.2 + 1.2. Which is the nearest to 2? (a) o (b) y (c) -1/4 a Let z = -152.957 - -153. What is the closest to -2/13 in 0.4, z, 3/5? z Let k = -4 + 10/3. Let b be (1/(-4))/(55/44). What is the closest to 0.2 in k, b, 0? 0 Let f = 1.54 + 12.06. Let n = f - 14. What is the closest to 0 in n, -1/2, -3? n Let v = -35 + 33.6. Let c = -3.6 + v. What is the closest to 1/4 in 0.3, c, 8? 0.3 Let m = 9.59 - 4.59. Which is the closest to -3? (a) 3/5 (b) m (c) -0.1 c Let o = 56 + -55. Let u be (0/o)/(-2) - (-1 + 0). Which is the nearest to u? (a) 1/4 (b) -3 (c) -5/2 a Let l be 3/(-12) + 1/((-4)/10). Let p = l - -9/4. Suppose 0 = w - 1 + 2. What is the nearest to w in 2, p, -5? p Let d = 439 + -439.1. Let h = 2 - 0. What is the closest to d in -2/21, -1/7, h? -2/21 Let j = -0.1 + 0.2. Let t = -233 + 232.9. What is the nearest to -2 in t, j, -0.3? -0.3 Let d(t) = t**3 + 1. Let r be d(0). Let f be (r/3)/((-42)/(-36)). Let h = -0.09 - 0.11. Which is the closest to h? (a) -4 (b) f (c) 0.2 c Let k = 655 + -659.53. Let n = k - 0.47. Which is the nearest to -2? (a) -1 (b) -2 (c) n b Let v = -34.9 - -29. Let w = v - -6.2. Which is the closest to 0.6? (a) -2 (b) w (c) 0.5 c Let w = -1.6 - -0.6. Which is the nearest to 0.1? (a) 0.3 (b) 3 (c) w a Let a = 251/3 - 83. Let x(h) = -4*h**2 - h - 1. Let z be x(-1). What is the nearest to 0.1 in a, 1/2, z? 1/2 Let w = 110/7 + -1416/91. Which is the nearest to 0.7? (a) -0.2 (b) w (c) -2 b Let s = -0.765 - -0.025. Let t = s + 0.84. What is the nearest to t in -1, 4, 0.04? 0.04 Let v = 0.144 - 0.144. Which is the nearest to v? (a) -5/3 (b) 2 (c) -4 a Let f = 6.1 + -4. Let s = -2 + f. Let x = -17 - -13. Which is the closest to s? (a) x (b) 4 (c) 1 c Suppose -3*k + 0*r = 5*r - 32, 0 = -k + r. Let u(w) = -w + 8. Let q be u(k). Let i = -2 - -2. Which is the closest to i? (a) q (b) 2 (c) 5/4 c Let w = -144 - -117. Let t = w + 27.1. Let b = -3 - -6. What is the closest to 1 in b, -3/7, t? t Let f = -0.37 - 0.03. Let w = 6 - 5.7. Let z = w + f. Which is the closest to z? (a) 1 (b) -0.5 (c) 2 b Let f = -0.064 - 0.136. What is the nearest to -5 in -3/5, 4, f? -3/5 Let u = 2 - 1. Let i = -96 + 95. Which is the nearest to 1? (a) u (b) i (c) -0.3 a Suppose 3*x - 3*o = -24, -6*x + 4*x = -3*o + 14. Let
{ "pile_set_name": "DM Mathematics" }
is 56641.89 months in centuries? 47.201575 What is 0.8242544mm in kilometers? 0.0000008242544 How many months are there in 671152.4 years? 8053828.8 What is seven quarters of a litre in millilitres? 1750 What is twenty-one fifths of a century in decades? 42 How many centimeters are there in 868.9476nm? 0.00008689476 How many hours are there in 5/6 of a day? 20 How many months are there in 1/6 of a millennium? 2000 How many nanometers are there in 1.686239km? 1686239000000 How many hours are there in 675818.37ns? 0.000000187727325 Convert 67.67994 grams to micrograms. 67679940 What is 95.34373ml in litres? 0.09534373 Convert 233.82291 months to decades. 1.94852425 How many millilitres are there in seven eighths of a litre? 875 What is 67/4 of a microgram in nanograms? 16750 What is 11/2 of a litre in millilitres? 5500 What is 27/4 of a litre in millilitres? 6750 How many micrograms are there in 0.8825993 kilograms? 882599300 What is 75.954843s in hours? 0.0210985675 How many minutes are there in 4/15 of a day? 384 What is seven halves of a litre in millilitres? 3500 Convert 541745.4 millimeters to micrometers. 541745400 What is 163267.9mm in meters? 163.2679 What is 2931.87 months in centuries? 2.443225 How many minutes are there in thirty-one sixths of a hour? 310 What is 245767.6t in grams? 245767600000 How many kilograms are there in 13.05135g? 0.01305135 What is eleven quarters of a kilometer in meters? 2750 What is 20.37055 nanometers in micrometers? 0.02037055 What is 1/5 of a millimeter in micrometers? 200 How many centuries are there in 1.0758906 months? 0.0008965755 How many weeks are there in 165261.81 hours? 983.70125 How many micrograms are there in 27/2 of a milligram? 13500 How many months are there in 90287.49 decades? 10834498.8 What is 84995.13 centuries in millennia? 8499.513 What is 2.614257 kilograms in tonnes? 0.002614257 Convert 85432.91 decades to millennia. 854.3291 How many micrometers are there in 0.6745176cm? 6745.176 How many nanoseconds are there in 8/25 of a microsecond? 320 What is five eighths of a gram in milligrams? 625 What is twenty-three thirds of a day in minutes? 11040 How many meters are there in 11/8 of a kilometer? 1375 What is fifty-four fifths of a minute in seconds? 648 How many tonnes are there in 0.3972818mg? 0.0000000003972818 Convert 321202.1ml to litres. 321.2021 What is three tenths of a kilometer in meters? 300 Convert 57.1897cm to kilometers. 0.000571897 How many minutes are there in 41.77023 milliseconds? 0.0006961705 Convert 18719.34624 microseconds to weeks. 0.0000000309513 How many months are there in sixty-eight thirds of a year? 272 What is 23/3 of a day in hours? 184 What is 1/5 of a microsecond in nanoseconds? 200 What is 97.07101us in nanoseconds? 97071.01 Convert 97753.28km to centimeters. 9775328000 What is 68377.09 nanometers in millimeters? 0.06837709 What is three sixteenths of a millennium in months? 2250 What is 0.2963515ug in milligrams? 0.0002963515 What is three eighths of a litre in millilitres? 375 How many millilitres are there in twenty-one quarters of a litre? 5250 How many grams are there in fifty-four fifths of a kilogram? 10800 Convert 1989.13m to millimeters. 1989130 How many meters are there in 1/20 of a kilometer? 50 How many micrograms are there in seven quarters of a milligram? 1750 What is 3/10 of a minute in milliseconds? 18000 What is 40309.76 centuries in millennia? 4030.976 How many milligrams are there in 3/5 of a gram? 600 What is 1/24 of a century in months? 50 How many millilitres are there in 3.526621 litres? 3526.621 How many hours are there in seven eighths of a week? 147 How many milligrams are there in 1/20 of a kilogram? 50000 How many kilometers are there in 0.1645338 nanometers? 0.0000000000001645338 Convert 855843.8m to kilometers. 855.8438 What is 6/25 of a hour in seconds? 864 What is 503.1867 decades in millennia? 5.031867 How many kilograms are there in 1.067252ng? 0.000000000001067252 What is nine tenths of a litre in millilitres? 900 What is one tenth of a tonne in grams? 100000 What is 76271.06 kilograms in grams? 76271060 How many grams are there in 25/2 of a kilogram? 12500 What is 6554.545ml in litres? 6.554545 How many milligrams are there in 21/2 of a gram? 10500 What is 2344517.1 months in millennia? 195.376425 How many litres are there in 69.34749 millilitres? 0.06934749 How many millilitres are there in eleven halves of a litre? 5500 How many millimeters are there in 33/5 of a meter? 6600 What is 153.315 tonnes in nanograms? 153315000000000000 How many micrometers are there in 1/5 of a centimeter? 2000 How many months are there in one sixth of a decade? 20 How many months are there in 8/15 of a millennium? 6400 How many centuries are there in 204271.3 years? 2042.713 How many centuries are there in three fifths of a millennium? 6 What is 28/9 of a week in minutes? 31360 What is seven quarters of a tonne in kilograms? 1750 How many years are there in 48596.08 decades? 485960.8 Convert 7000.924ml to litres. 7.000924 What is three eighths of a hour in seconds? 1350 How many micrograms are there in 5.59316 grams? 5593160 How many minutes are there in three fifths of a week? 6048 How many centimeters are there in 3/8 of a kilometer? 37500 Convert 154.5866ug to nanograms. 154586.6 How many kilograms are there in 4813.81ug? 0.00000481381 What is eleven eighths of a tonne in kilograms? 1375 What is 4139.79 millennia in years? 4139790 What is 2.4900834 nanoseconds in minutes? 0.00000000004150139 How many grams are there in 0.0317619 milligrams? 0.0000317619 What is 29221.95 milligrams in micrograms? 29221950 What is 29.14856 hours in minutes? 1748.9136 How many weeks are there in 39238.4223 seconds? 0.06487834375 Convert 6123.098km to centimeters. 612309800 Convert 6488.509ml to litres. 6.488509 What is 0.3851886 millilitres in litres? 0.0003851886 How many kilograms are there in 457194.6 tonnes? 457194600 How many millilitres are there in 5928.137l? 5928137 What is 2523.279 decades in centuries? 252.3279 How many decades are there in 0.769951 millennia? 76.9951 What is 4.593742 litres in millilitres? 4593.742 What is 88/5 of a meter in centimeters? 1760 What is 19/4 of a litre in millilitres? 4750 How many litres are there in 387014.9ml? 387.0149 Convert 1897678.8 microseconds to days. 0.000021963875 How many seconds are there in two fifteenths of a day? 11520 What is 31/5 of a litre in millilitres? 6200 How many millilitres are there in 3288.1 litres? 3288100 What is 0.6895308l in millilitres? 689.5308 How many millimeters are there in thirty-one halves of a meter? 15500 How many litres are there in 46469.88ml? 46.46988 What is seven quarters of a litre in millilitres? 1750 What is 11/10 of a week in minutes? 11088 Convert 0.8080845 millilitres to litres. 0.0008080845 What is eight thirds of a year in months? 32 What is one sixteenth of a kilometer in millimeters? 62500 What is 8/7 of a week in hours? 192 How many months are there in seven quarters of a millennium? 21000 How many millennia are there in 52.77777 decades? 0.5277777 What is 1/24 of a minute in milliseconds? 2500 How many millilitres are there in 51/8 of a litre? 6375 How many millilitres are there in 15/4 of a litre? 3750 How many years are there in seventy-five eighths of a millennium? 9375 How many grams are there in 3/32 of a tonne? 93750 Convert 32735.5mm to kilometers. 0.0327355 How many months are there in five quarters of a millennium? 15000 What is 4016.201l in millilitres? 4016201 Convert 871.8517 years to millennia. 0.8718517 Convert 990.2022l to millilitres. 990202.2 How many minutes are there in 20660.379us? 0.00034433965 What is 18/5 of a millennium in decades? 360 What is 59/5 of a kilometer in meters? 11800 How many weeks are there in 16.329313 days? 2.332759 What is twenty-five eighths of a week in hours? 525 What is twenty-seven quarters of a microgram in nanograms? 6750 What is 4848.663ml in litres? 4.848663 Convert 899506.1 millennia to centuries. 8995061 What is 301.69989ns in hours? 0.000000000083805525 How many milligrams are there in 3/50 of a gram? 60 What is thirty-seven fifths of a kilometer in meters? 7400 What is 7/8 of a litre in millili
{ "pile_set_name": "DM Mathematics" }
ommon denominator of 7/171 and -97/38. 342 Calculate the least common multiple of 143 and 520. 5720 Calculate the lowest common multiple of 104 and 39. 312 Find the common denominator of -44/3 and -47/2680. 8040 What is the common denominator of -67/628 and -10/1727? 6908 Calculate the common denominator of 65/9 and 55/36. 36 Find the common denominator of 7/414 and -13/18. 414 Calculate the smallest common multiple of 192 and 480. 960 Calculate the least common multiple of 12 and 9350. 56100 Calculate the lowest common multiple of 52 and 273. 1092 Find the common denominator of 39/5 and 8/87. 435 Calculate the lowest common multiple of 693 and 126. 1386 Find the common denominator of 16/655 and -67/2. 1310 What is the smallest common multiple of 1566 and 1218? 10962 What is the common denominator of -35/18 and 29/3210? 9630 What is the common denominator of 19/10 and -107/20? 20 Find the common denominator of -23/8307 and -1/117. 8307 What is the lowest common multiple of 1297 and 4? 5188 What is the common denominator of -67/255 and -32/459? 2295 What is the common denominator of 143/24 and -133/54? 216 Find the common denominator of 83/12 and 77/108. 108 Find the common denominator of 79/4 and -109/4614. 9228 What is the common denominator of 58/5 and -18/175? 175 What is the least common multiple of 475 and 133? 3325 Find the common denominator of -29/8 and 57/8. 8 Calculate the lowest common multiple of 8568 and 1260. 42840 Calculate the lowest common multiple of 84 and 42. 84 Find the common denominator of -61/927 and 38/7. 6489 What is the common denominator of -109/216 and -67/36? 216 What is the common denominator of -43/8 and 57/100? 200 What is the common denominator of -89/2 and 67/2? 2 Calculate the common denominator of -23/22 and -7/4020. 44220 What is the lowest common multiple of 165 and 135? 1485 Calculate the smallest common multiple of 95 and 115. 2185 Calculate the lowest common multiple of 680 and 374. 7480 Calculate the common denominator of 97/18 and 71/60. 180 What is the lowest common multiple of 509 and 3054? 3054 Calculate the common denominator of -59/160 and 43/6. 480 What is the smallest common multiple of 16 and 154? 1232 What is the common denominator of 99/7328 and 71/14? 51296 Calculate the common denominator of 17/2574 and 79/468. 5148 Calculate the least common multiple of 141 and 12. 564 Calculate the smallest common multiple of 2 and 208. 208 Find the common denominator of -8/49 and -11/3647. 25529 What is the lowest common multiple of 48 and 608? 1824 Find the common denominator of -23/1112 and 101/22. 12232 Find the common denominator of 71/99 and -95/108. 1188 What is the smallest common multiple of 1084 and 16? 4336 Calculate the lowest common multiple of 18 and 68. 612 Find the common denominator of 93/220 and -39/440. 440 Calculate the lowest common multiple of 52 and 65. 260 Calculate the common denominator of 31/408 and 74/39. 5304 What is the least common multiple of 74 and 10? 370 Find the common denominator of 109/252 and 76/81. 2268 What is the common denominator of 49 and 7/10614? 10614 What is the common denominator of 7/9 and -139/270? 270 What is the common denominator of 2/15 and -61/18? 90 What is the common denominator of 35/159 and 16/45? 2385 Calculate the common denominator of 99/10 and 93/268. 1340 Find the common denominator of 139/18 and -127/290. 2610 Calculate the lowest common multiple of 4 and 2514. 5028 Calculate the lowest common multiple of 1786 and 18. 16074 Calculate the common denominator of 35/66 and -91/5500. 16500 Find the common denominator of 29/3164 and 55/8. 6328 Calculate the common denominator of 29/8 and 39/16. 16 What is the smallest common multiple of 14 and 3976? 3976 Find the common denominator of -47/59 and -61/2. 118 What is the lowest common multiple of 15 and 2106? 10530 What is the least common multiple of 11600 and 40? 11600 What is the lowest common multiple of 714 and 408? 2856 What is the least common multiple of 264 and 363? 2904 Find the common denominator of -137/198 and 21/2. 198 What is the common denominator of -23/150 and 1/240? 1200 Calculate the common denominator of 73/616 and -16/77. 616 What is the common denominator of -59/9 and 41/122? 1098 Find the common denominator of -44/59 and 7/9. 531 Calculate the lowest common multiple of 110 and 154. 770 What is the least common multiple of 6 and 18578? 55734 What is the smallest common multiple of 483 and 36? 5796 Find the common denominator of -99/2 and 11/2400. 2400 Calculate the common denominator of -49/190 and 17/19. 190 What is the common denominator of -27/265 and 57/50? 2650 Calculate the least common multiple of 427 and 1098. 7686 What is the lowest common multiple of 18 and 12098? 108882 Calculate the common denominator of 85/24 and 1/18. 72 What is the common denominator of 101/650 and 41/90? 5850 What is the common denominator of 52/33 and -61/306? 3366 Calculate the common denominator of -67/1071 and 79/153. 1071 What is the common denominator of -71/1176 and 3/11? 12936 What is the least common multiple of 27 and 15? 135 What is the smallest common multiple of 12 and 12? 12 What is the common denominator of 97/24 and 79/264? 264 What is the common denominator of 29/4978 and -10/209? 54758 What is the common denominator of 89/1228 and -57/14? 8596 What is the least common multiple of 1484 and 1272? 8904 Calculate the least common multiple of 47 and 423. 423 What is the common denominator of -71/450 and 91/495? 4950 What is the lowest common multiple of 36 and 2388? 7164 What is the smallest common multiple of 320 and 5? 320 Calculate the smallest common multiple of 4 and 130. 260 What is the smallest common multiple of 1260 and 560? 5040 Calculate the lowest common multiple of 176 and 396. 1584 What is the common denominator of -25/114 and -28/3? 114 Find the common denominator of -157/510 and -61/408. 2040 Calculate the smallest common multiple of 2176 and 288. 19584 What is the common denominator of -19/33 and -5/456? 5016 Calculate the lowest common multiple of 2945 and 266. 41230 What is the common denominator of -111/160 and 7/40? 160 What is the common denominator of -24/6209 and -39/1774? 12418 What is the smallest common multiple of 18 and 370? 3330 What is the lowest common multiple of 10 and 105? 210 Find the common denominator of 71/207 and 10/81. 1863 Calculate the lowest common multiple of 258 and 2. 258 What is the common denominator of -33/7 and -91/82? 574 What is the least common multiple of 5 and 2250? 2250 Find the common denominator of -79/90 and -97/14. 630 Calculate the least common multiple of 4 and 28. 28 Calculate the common denominator of -47/48 and -125/288. 288 What is the smallest common multiple of 8 and 8? 8 Find the common denominator of 151/30 and -29/4745. 28470 What is the common denominator of 93/1958 and 119/1780? 19580 What is the smallest common multiple of 4 and 218? 436 What is the least common multiple of 1 and 11? 11 Calculate the lowest common multiple of 12 and 6339. 25356 Find the common denominator of -15/8 and 17/2008. 2008 Calculate the common denominator of -11/1134 and -101/8. 4536 What is the smallest common multiple of 120 and 105? 840 Calculate the common denominator of 101/418 and -81/190. 2090 Calculate the common denominator of 1/2 and -13/5. 10 Find the common denominator of 23/60 and -15/44. 660 Calculate the smallest common multiple of 8840 and 455. 61880 Calculate the common denominator of 17/63 and -83/99. 693 Calculate the common denominator of -107/40 and 11/60. 120 What is the lowest common multiple of 120 and 160? 480 Find the common denominator of -25/36 and 103/40. 360 Calculate the smallest common multiple of 942 and 4. 1884 What is the smallest common multiple of 36 and 180? 180 Find the common denominator of -7/18 and 73/3154. 28386 Calculate the least common multiple of 2392 and 92. 2392 Calculate the lowest common multiple of 160 and 16. 160 Find the common denominator of -47/156 and 55/78. 156 Calculate the least common multiple of 4 and 532. 532 What is the common denominator of -61/168 and 89/42? 168 What is the lowest common multiple of 21 and 189? 189 Find the common denominator of -47/3321 and -1
{ "pile_set_name": "DM Mathematics" }
tens digit of 53648? 4 What is the hundreds digit of 8547? 5 What is the ten thousands digit of 10521? 1 What is the tens digit of 3654? 5 What is the thousands digit of 6576? 6 What is the units digit of 684? 4 What is the units digit of 945? 5 What is the hundreds digit of 150? 1 What is the thousands digit of 10666? 0 What is the units digit of 948? 8 What is the thousands digit of 2297? 2 What is the tens digit of 42110? 1 What is the units digit of 1903? 3 What is the units digit of 58209? 9 What is the hundreds digit of 3091? 0 What is the tens digit of 26752? 5 What is the thousands digit of 34874? 4 What is the hundreds digit of 5741? 7 What is the tens digit of 70758? 5 What is the thousands digit of 3231? 3 What is the hundreds digit of 10671? 6 What is the hundreds digit of 5610? 6 What is the thousands digit of 37228? 7 What is the units digit of 56610? 0 What is the units digit of 26023? 3 What is the tens digit of 2448? 4 What is the tens digit of 1476? 7 What is the units digit of 1473? 3 What is the hundreds digit of 100538? 5 What is the thousands digit of 33565? 3 What is the thousands digit of 2367? 2 What is the thousands digit of 10442? 0 What is the hundreds digit of 56670? 6 What is the ten thousands digit of 34645? 3 What is the thousands digit of 2395? 2 What is the tens digit of 43? 4 What is the units digit of 2328? 8 What is the thousands digit of 4182? 4 What is the tens digit of 697? 9 What is the hundreds digit of 2436? 4 What is the units digit of 6927? 7 What is the tens digit of 19380? 8 What is the hundreds digit of 132663? 6 What is the hundreds digit of 6386? 3 What is the units digit of 9534? 4 What is the units digit of 432? 2 What is the tens digit of 144? 4 What is the tens digit of 41515? 1 What is the hundreds digit of 2582? 5 What is the tens digit of 32820? 2 What is the hundreds digit of 1434? 4 What is the units digit of 143? 3 What is the hundreds digit of 240? 2 What is the hundreds digit of 37871? 8 What is the tens digit of 3566? 6 What is the units digit of 5525? 5 What is the tens digit of 117? 1 What is the thousands digit of 17668? 7 What is the units digit of 7116? 6 What is the units digit of 586? 6 What is the hundred thousands digit of 166780? 1 What is the hundreds digit of 5821? 8 What is the tens digit of 3993? 9 What is the units digit of 1651? 1 What is the tens digit of 5066? 6 What is the tens digit of 29436? 3 What is the units digit of 7254? 4 What is the tens digit of 2469? 6 What is the thousands digit of 84367? 4 What is the units digit of 65162? 2 What is the hundreds digit of 3874? 8 What is the hundreds digit of 58067? 0 What is the hundreds digit of 59512? 5 What is the thousands digit of 1503? 1 What is the hundreds digit of 280? 2 What is the hundreds digit of 532? 5 What is the thousands digit of 2167? 2 What is the thousands digit of 6810? 6 What is the hundreds digit of 673? 6 What is the units digit of 334? 4 What is the units digit of 20986? 6 What is the tens digit of 46502? 0 What is the tens digit of 717? 1 What is the thousands digit of 15725? 5 What is the units digit of 5818? 8 What is the tens digit of 50140? 4 What is the hundreds digit of 275? 2 What is the hundreds digit of 25529? 5 What is the hundreds digit of 8382? 3 What is the thousands digit of 24289? 4 What is the tens digit of 276? 7 What is the hundreds digit of 2980? 9 What is the ten thousands digit of 34624? 3 What is the hundreds digit of 17093? 0 What is the tens digit of 15243? 4 What is the thousands digit of 9215? 9 What is the ten thousands digit of 24075? 2 What is the thousands digit of 4386? 4 What is the units digit of 357? 7 What is the units digit of 3912? 2 What is the thousands digit of 5050? 5 What is the thousands digit of 1970? 1 What is the units digit of 17671? 1 What is the hundreds digit of 1225? 2 What is the units digit of 45204? 4 What is the units digit of 971? 1 What is the thousands digit of 2187? 2 What is the tens digit of 467? 6 What is the hundreds digit of 48718? 7 What is the units digit of 5581? 1 What is the tens digit of 1567? 6 What is the hundreds digit of 75896? 8 What is the units digit of 2576? 6 What is the units digit of 7463? 3 What is the tens digit of 37968? 6 What is the tens digit of 225? 2 What is the units digit of 659? 9 What is the units digit of 2484? 4 What is the hundreds digit of 1250? 2 What is the units digit of 8291? 1 What is the tens digit of 4864? 6 What is the tens digit of 262? 6 What is the tens digit of 29790? 9 What is the tens digit of 10784? 8 What is the hundreds digit of 3020? 0 What is the tens digit of 187? 8 What is the thousands digit of 1572? 1 What is the units digit of 3243? 3 What is the thousands digit of 24003? 4 What is the units digit of 11100? 0 What is the units digit of 612? 2 What is the ten thousands digit of 101722? 0 What is the units digit of 1243? 3 What is the tens digit of 39725? 2 What is the units digit of 4187? 7 What is the tens digit of 42402? 0 What is the thousands digit of 9137? 9 What is the ten thousands digit of 58556? 5 What is the tens digit of 3676? 7 What is the units digit of 2617? 7 What is the tens digit of 6457? 5 What is the hundreds digit of 3570? 5 What is the thousands digit of 3037? 3 What is the thousands digit of 1559? 1 What is the hundreds digit of 2757? 7 What is the hundreds digit of 79585? 5 What is the hundreds digit of 1227? 2 What is the hundreds digit of 10514? 5 What is the hundreds digit of 17379? 3 What is the units digit of 234? 4 What is the tens digit of 5154? 5 What is the hundreds digit of 4624? 6 What is the units digit of 517? 7 What is the units digit of 8463? 3 What is the units digit of 2468? 8 What is the hundreds digit of 24427? 4 What is the tens digit of 40150? 5 What is the units digit of 135277? 7 What is the ten thousands digit of 121308? 2 What is the ten thousands digit of 31076? 3 What is the tens digit of 4876? 7 What is the hundreds digit of 43148? 1 What is the thousands digit of 1637? 1 What is the units digit of 816? 6 What is the thousands digit of 1105? 1 What is the units digit of 453? 3 What is the thousands digit of 5481? 5 What is the units digit of 41957? 7 What is the tens digit of 56912? 1 What is the thousands digit of 36829? 6 What is the hundreds digit of 5444? 4 What is the tens digit of 26823? 2 What is the hundreds digit of 3747? 7 What is the tens digit of 6116? 1 What is the tens digit of 81253? 5 What is the tens digit of 686? 8 What is the tens digit of 10116? 1 What is the thousands digit of 13299? 3 What is the hundreds digit of 5968? 9 What is the units digit of 4095? 5 What is the ten thousands digit of 37648? 3 What is the thousands digit of 3877? 3 What is the hundreds digit of 2597? 5 What is the thousands digit of 47852? 7 What is the units digit of 68730? 0 What is the hundreds digit of 8219? 2 What is the thousands digit of 21658? 1 What is the units digit of 699? 9 What is the units digit of 29573? 3 What is the tens digit of 22903? 0 What is the units digit of 480? 0 What is the units digit of 18186? 6 What is the units digit of 3884? 4 What is the tens digit of 213878? 7 What is the hundreds digit of 885? 8 What is the units digit of 63474? 4 What is the thousands digit of 7369? 7 What is the units digit of 366? 6 What is the tens digit of 1930? 3 What is the ten thousands digit of 14447? 1 What is the tens digit of 4945? 4 What is the units digit of 330? 0 What is the thousands digit of 1114? 1 What is the tens digit of 12285? 8 What is the tens digit of 930? 3 What is the tens digit of 181572? 7 What is the hundreds digit of 901? 9 What is the tens digit of 3402? 0 What is the ten thousands digit of 14447? 1 What is the hundreds digit of 64859? 8 What is the tens digit of 773? 7 What is the hundreds digit of 20814? 8 What is the hundreds digit of 433? 4 What is the units digit of 109645? 5 What is the ten thousands digit of 55596? 5 What is the tens digit of 91924? 2 What is the units digit of 11447? 7 What is the thousands digit of 131824? 1 What is the hundreds digit of 1022? 0 What is the hundreds digit of 493? 4 What is the thousands digit of 1806? 1 What is the hundreds digit of 1039? 0 What is
{ "pile_set_name": "DM Mathematics" }
0*n + i - 4/5*n**3 = 0. Calculate n. -1/4, 0 Suppose 0 = -3*l + 5*w + 1, 2*l - 4*l + 9 = 5*w. Let y be (-13)/(-2) - (l + 1) - 3. Factor -y*x**2 + 0 + 1/2*x. -x*(x - 1)/2 Let l(u) be the third derivative of -u**6/24 - u**5/6 - 5*u**4/24 + 60*u**2. Find j such that l(j) = 0. -1, 0 Let b(l) be the second derivative of 3*l**5/40 + 3*l**4/8 - 6*l**3 - 60*l**2 + 143*l. Find o, given that b(o) = 0. -4, 5 Let z(v) be the first derivative of -4*v**5 - 47*v**4 - 204*v**3 - 378*v**2 - 216*v - 70. What is c in z(c) = 0? -3, -2/5 Let n(q) = -q**3 - q**2 + 2*q + 1. Let v(p) = -3*p**4 + 3*p**3 + 69*p**2 + 75*p + 6. Let j(b) = 6*n(b) - v(b). Let j(g) = 0. What is g? -3, -1, 0, 7 Let o(t) be the second derivative of -13*t**5/25 + 28*t**4/15 - 8*t**3/15 - 2*t - 13. Find g such that o(g) = 0. 0, 2/13, 2 Suppose -2222 = -21*h + 1495. Let m = h - 1585/9. Factor -m*a**3 - 2*a**2 - 2/9 - 4/3*a. -2*(a + 1)**2*(4*a + 1)/9 Suppose 0*d = d - 3. Factor -6*c + 16*c**2 - 6*c**d - 2 - 3 + 1. -2*(c - 2)*(c - 1)*(3*c + 1) Factor 36 - 3*j**3 - j**3 + 8*j**3 - 36*j**2 - 4*j + 0. 4*(j - 9)*(j - 1)*(j + 1) Let t(r) be the third derivative of -1/42*r**7 + 0*r + 0 - 7/240*r**6 + 5*r**2 + 1/24*r**3 + 1/240*r**5 - 1/168*r**8 + 1/24*r**4. Suppose t(b) = 0. What is b? -1, -1/2, 1/2 Let p(m) = -m**3 - 2*m**2 + 4*m - 3. Let z be p(3). Let u = 38 + z. Solve 4/9*h**u + 2/9*h + 2/9*h**3 + 0 = 0 for h. -1, 0 Let l be (-2)/(-1) - 34/(-17). Let x(y) be the first derivative of 0*y - 2/3*y**3 - 3/2*y**2 + 1/4*y**l - 2. Find i, given that x(i) = 0. -1, 0, 3 Let d be (-46)/14 + (-18)/(-63). Let g be (-20)/(-8) + d/6. Solve -4*p + 2*p - p**3 + p + g*p**2 = 0. 0, 1 Let m(o) = 2*o**2 - o. Let g(q) = -26*q**2 + 94*q + 36. Let b(h) = -g(h) - 8*m(h). Factor b(i). 2*(i - 9)*(5*i + 2) Factor -32*u**2 - 5*u + 22*u**2 + 2 - u**3 + 6*u**3 + 8. 5*(u - 2)*(u - 1)*(u + 1) Suppose -2*c = -7*c + 15. Suppose -c = -4*u + u - 3*q, -u = -5*q - 7. Find k, given that 3*k**3 - 2*k**4 + 0*k**2 - k**3 - 2*k + u*k**2 = 0. -1, 0, 1 Let y(l) = 205*l**2 - 160*l - 20. Let j(b) = -198*b**2 + 159*b + 19. Let x(f) = -5*j(f) - 4*y(f). Factor x(z). 5*(z - 1)*(34*z + 3) Let g(v) = 48*v**2 - 63*v + 69. Let q(a) = -7*a**2 + 9*a - 10. Let n(o) = -4*g(o) - 27*q(o). Determine w so that n(w) = 0. 1, 2 Let a(v) = 9*v**5 + 42*v**4 - 147*v**3 + 324*v**2 - 324*v + 126. Let t(y) = 2*y**5 + y**4 + 2*y**3 - y**2 + 1. Let o(k) = -a(k) + 6*t(k). Factor o(b). 3*(b - 5)*(b - 2)**3*(b - 1) Let f(k) = 2*k**5 + k**4 + k**2 - k. Let t(s) = -21*s**5 + 9*s**3 - 22*s**2 + s. Let r(u) = -22*f(u) - 2*t(u). Suppose r(n) = 0. Calculate n. -10, -1, 0, 1 Suppose 4*m + 2*m = 0. Let n(c) = m - 1 - 6 - 4*c**2 + 6*c + 3. Let w(v) = v**2. Let y(q) = -2*n(q) - 4*w(q). Let y(l) = 0. Calculate l. 1, 2 Let p(m) = 18*m**2 - 42*m - 12. Let k(u) = -9*u**2 + 22*u + 7. Let a(d) = -9*k(d) - 5*p(d). Let a(l) = 0. What is l? 1/3, 1 Suppose -145 = -18*d - 109. Factor 2/7 - 9/7*v**3 + 9/7*v - 2/7*v**d. -(v - 1)*(v + 1)*(9*v + 2)/7 Let k = -4163 + 12490/3. Find d such that -k*d + 1/6*d**2 + 0 = 0. 0, 2 Let w(r) be the first derivative of -1/54*r**6 + 1/6*r**2 - 1/15*r**5 + 2/27*r**3 - 21 + 1/9*r - 1/18*r**4. Let w(t) = 0. What is t? -1, 1 Find w, given that 0*w**3 - w**4 + w**2 + 0 + 1/2*w - 1/2*w**5 = 0. -1, 0, 1 Let r be (0 - 24)/(-6) + 1. Let o(t) be the second derivative of 0*t**4 + 1/20*t**r + 0*t**3 + 0 + 1/21*t**7 + 2*t - 1/10*t**6 + 0*t**2. Solve o(s) = 0 for s. 0, 1/2, 1 Factor 2/3*d**3 + 0 + 34/3*d**2 - 12*d. 2*d*(d - 1)*(d + 18)/3 Suppose -21 = -p - 2*p. Let i(j) = -j + 9. Let c be i(p). Factor -5*o**4 + 9*o**3 - o**3 + 9*o**4 + 7*o**c - 3*o**2. 4*o**2*(o + 1)**2 Let p = 127 - 124. Let r(i) be the third derivative of 3*i**2 + 1/14*i**4 + 0*i - 1/105*i**5 - 4/21*i**p + 0. Factor r(z). -4*(z - 2)*(z - 1)/7 Suppose -27*r - 12 - 11 = -23. Let r*i + 28/3*i**3 + 0 - 49/3*i**4 - 4/3*i**2 = 0. Calculate i. 0, 2/7 Let l(g) be the third derivative of g**8/1344 + g**7/120 - g**6/96 - 7*g**5/48 + g**4/24 + 7*g**3/6 + 10*g**2 + 8*g. Suppose l(x) = 0. Calculate x. -7, -2, -1, 1, 2 Let z = 31 + -55/2. Let k(c) be the first derivative of -4 + 0*c**2 + 4/3*c**3 + 0*c - z*c**4. Factor k(d). -2*d**2*(7*d - 2) Let z = 150 + -168. Let q(o) = o**2 + 16*o - 36. Let u be q(z). Solve 1/2*t**2 + u*t + 0 + 1/2*t**3 = 0. -1, 0 Let r = 16478 - 16476. Determine t so that -8/11 + 0*t - 2/11*t**3 + 6/11*t**r = 0. -1, 2 Let o(n) be the third derivative of -n**9/22680 - n**8/5040 + 5*n**4/4 - 13*n**2. Let q(h) be the second derivative of o(h). Factor q(i). -2*i**3*(i + 2)/3 Let i(u) be the third derivative of -u**7/840 + u**6/180 + 8*u**3/3 + 2*u**2. Let q(o) be the first derivative of i(o). Factor q(t). -t**2*(t - 2) Let m(d) = -9 + 7*d - 7*d + 2*d. Let r be m(9). Factor k**2 - r + 9 - k. k*(k - 1) Let a = -248 + 282. Suppose -2*f + a = 15*f. Factor 6*j**f + 6*j + 0 + 3/2*j**3. 3*j*(j + 2)**2/2 Let q(i) be the first derivative of 4*i**6/3 - 36*i**5/5 + 12*i**4 - 16*i**3/3 + 39. Factor q(w). 4*w**2*(w - 2)**2*(2*w - 1) Let h = -277/9 + 1117/36. Determine m, given that 1/2 + 1/4*m - h*m**2 = 0. -1, 2 Suppose 0*k - 77 = -11*k. Factor k*z**2 + 20*z - 2*z**2 + 9 - 23 - 11. 5*(z - 1)*(z + 5) Let i(l) be the second derivative of l**7/17640 + l**6/210 + 6*l**5/35 - 17*l**4/12 + 14*l. Let c(u) be the third derivative of i(u). Let c(v) = 0. What is v? -12 Let v(u) be the second derivative of u**5/20 + 107*u**4/6 + 11449*u**3/6 - 360*u. Factor v(z). z*(z + 107)**2 Let k(b) be the first derivative of 64*b**4 - 320*b**3/3 + 34*b**2 - 4*b + 278. Suppose k(u) = 0. What is u? 1/8, 1 Solve -3/2*h - 9/2*h**3 - 5*h**2 + 0 - h**4 = 0. -3, -1, -1/2, 0 Let c(l) = 3*l**2 + 15*l. Let s be c(-5). Suppose 0*m + s*m = -4*m. Factor 7/2*x**2 - 7/2*x**4 + x - x**3 + m. -x*(x - 1)*(x + 1)*(7*x + 2)/2 Let h(x) be the third derivative of x**8/1512 - 17*x**6/540 - 2*x**5/15 - 5*x**4/27 + 41*x**2. Let h(i) = 0. Calculate i. -2, -1, 0, 5 Let t(r) be the third derivative of -r**6/780 + 2*r**5/195 - 5*r**4/156 + 2*r**3/39 + 79*r**2. Factor t(s). -2*(s - 2)*(s - 1)**2/13 Let p be (3 - 0)*(4 - 5). Let w = 0 - p. Determine b, given that -w*b**2 + b**2 + 5*b**2 + b**2 = 0. 0 Let s(m) be the second derivative of -m**5/4 + 655*m**4/12 + 1325*m**3/6 + 665*m**2/2 + 75*m - 4. Find j such that s(j) = 0. -1, 133 Suppose 4*a = -2*m, -4*a = -5*m - 16 - 12. Solve 14 - 4 + 3*z**2 - 11*z - 4*z + a*z**2 = 0. 1, 2 Let o(r) be the first derivative of 0*r - 6 - 2*r**3 + 3/4*r**4 - 9/2*r**2. Factor o(s). 3*s*(s - 3)*(s + 1) Let m = -64 + -25. Let u = -87 - m. Solve 2/9*x**3 + 0*x + 0 - 2/9*x**u = 0. 0, 1 Let a = 43/2 + -385/18. Let t(u) be the third derivative of 0*u - a*u**3 + 1/180*u**6 + 1/12*u**4 - 1/30*u**5 + 0 - 4*u**2. Find y, given that t(y) = 0. 1 Suppose -11*m + 28 = -9*m. Let c be ((-6)/3 + 6)/(-4 + m). Factor 0*o**2 - c - 3/5*o + 1/5*o**3. (o - 2)*(o + 1)**2/5 Let x be (-12)/(-80)*-4*1/(-30). Let m(f) be the second derivative of -4*f - 1/30*f**4 + 1/5*f**2 - 1/15*f**3 + x*f**5 + 0. Factor m(o). 2*(o - 1)**2*(o + 1)/5 Let p be (38 - 31) + (-4 - -1). Let v(l) be the third derivative of 0*l + 0 + 1/150*l**6 - 1/525*l**7 - l**2 + 0*l**3 + 0*l**p - 1/150*l**5. Factor v(m). -2*m**2*(m - 1)**2/5 Let a(r) = r**3 - 23*r**2 - 2*r + 50. Let b be a(23). Let k(m) be the second derivative of 6*m + 0*m**3 + 1/20*m**5 + 1/12*m**b + 0 + 0*m**2. Solve k(p) = 0. -1, 0 Let w be (1/10)/(116 + -115). Let a(n) be the first derivative of 0*n + 0*n**3 - 9 + w*n**2 - 1/20*n**4. Factor a(b). -b*(b - 1)*(b + 1)/5 Let h(l) be the third derivative of l**9/16632 - l**8/4620 + l**6/990 - l**5/660 - 2*l**3/3 + 16*l**2. Let k(p) be the first derivative of h(p). Factor k(y). 2*y*(y - 1)**3*(y + 1)/11 Let t be (0 - -2 - 3)*1. Let j = t - -1. Factor -3/4 + j*f + 3/4*f**2. 3*(f - 1)*(f + 1)/4 Let i(b) be the second derivative of 0 + 1/18*b**4 - 12*b + b**2 + 4/9*b**3. Factor i(l). 2*(l + 1)*(l + 3)/3 Let x(w) be the first derivative of -w**6/2 + 118*w**5/5 - 9*w**4 - 118*w**3/3 + 39*w**2/2 + 76. Let x(o) = 0. Calculate o. -1, 0, 1/3, 1, 39 Let o(d) be the first derivative of -37 - d**3 + 757*d + 12*d**2 - 757*d. What is b in o(b) = 0? 0, 8 Let m(x) = 4*x**2 - 212*x - 192. Let s(k) = -k**2 + k - 1. Let z(o) = -m(o) - 8*s(o). Factor z(y). 4*(y + 1)*(y + 50) Factor -1/5*n**2 + 4/5*n +
{ "pile_set_name": "DM Mathematics" }
cement from ghuuughggggg. 7/99 Four letters picked without replacement from {n: 4, y: 5, d: 1, x: 10}. Give prob of picking 1 n and 3 x. 32/323 Calculate prob of picking 2 t when two letters picked without replacement from {l: 3, o: 1, t: 1}. 0 Three letters picked without replacement from {d: 7, o: 12}. Give prob of picking 3 o. 220/969 What is prob of picking 1 n, 1 p, and 1 c when three letters picked without replacement from nnxgccpggg? 1/30 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {o: 4, s: 1, u: 2, l: 1, t: 1}. 1/36 Four letters picked without replacement from mbbhbmmbmhbm. What is prob of picking 2 b and 2 h? 2/99 Two letters picked without replacement from twyw. What is prob of picking 1 t and 1 y? 1/6 Three letters picked without replacement from {n: 1, r: 1, c: 1, g: 1, i: 4}. Give prob of picking 1 c, 1 n, and 1 g. 1/56 What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, q: 2, k: 3, l: 1, z: 3}? 2/45 Three letters picked without replacement from {m: 1, c: 4, v: 2}. What is prob of picking 1 v and 2 c? 12/35 What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 1, t: 1, v: 2, u: 6, y: 3}? 1/13 Two letters picked without replacement from cssccs. Give prob of picking 1 s and 1 c. 3/5 Two letters picked without replacement from {j: 6, c: 9, k: 2}. Give prob of picking 1 c and 1 j. 27/68 Three letters picked without replacement from ubbuubiiu. What is prob of picking 2 b and 1 i? 1/14 Calculate prob of picking 2 q and 2 p when four letters picked without replacement from pqqppqpqpq. 10/21 Calculate prob of picking 2 j when two letters picked without replacement from qqqsjqqsqqqjssqq. 1/120 Two letters picked without replacement from {l: 1, y: 14, q: 1}. Give prob of picking 1 l and 1 y. 7/60 Calculate prob of picking 2 d when two letters picked without replacement from {d: 10, c: 1, p: 1, j: 5}. 45/136 Calculate prob of picking 4 p when four letters picked without replacement from pbpppppppbppppppbppb. 364/969 Four letters picked without replacement from jpjjpffjjpjfjf. Give prob of picking 2 p and 2 j. 9/143 Calculate prob of picking 2 e when two letters picked without replacement from {b: 1, x: 2, e: 4}. 2/7 Four letters picked without replacement from asaass. What is prob of picking 1 a and 3 s? 1/5 Four letters picked without replacement from {w: 2, c: 1, u: 1, f: 2, h: 1, e: 2}. Give prob of picking 1 e, 1 w, 1 c, and 1 f. 4/63 Three letters picked without replacement from {y: 5, c: 14}. Give prob of picking 2 c and 1 y. 455/969 What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 9, m: 5}? 45/91 Two letters picked without replacement from abqkj. Give prob of picking 1 k and 1 q. 1/10 Three letters picked without replacement from {u: 2, z: 16}. What is prob of picking 2 z and 1 u? 5/17 Four letters picked without replacement from szgssmm. What is prob of picking 1 s and 3 g? 0 Two letters picked without replacement from {f: 9, p: 1, n: 3, z: 5}. Give prob of picking 2 n. 1/51 What is prob of picking 1 g, 1 n, and 2 z when four letters picked without replacement from ggnznzgn? 9/70 What is prob of picking 4 t when four letters picked without replacement from ttjtjtttttvtvttvt? 99/476 What is prob of picking 4 a when four letters picked without replacement from {v: 3, a: 11}? 30/91 Calculate prob of picking 1 e and 2 n when three letters picked without replacement from nnnnnnnnnnnennnnnn. 1/6 What is prob of picking 1 a and 1 o when two letters picked without replacement from eoooooeaeeooooeoeoa? 22/171 Three letters picked without replacement from {i: 2, v: 8, d: 4, j: 1, q: 1}. Give prob of picking 1 i, 1 j, and 1 d. 1/70 Four letters picked without replacement from prppprppoop. What is prob of picking 1 o and 3 p? 7/33 Calculate prob of picking 1 t, 1 e, and 2 s when four letters picked without replacement from eseetsspeetps. 12/143 Two letters picked without replacement from {a: 4, r: 1, t: 2}. What is prob of picking 1 a and 1 r? 4/21 What is prob of picking 3 c when three letters picked without replacement from {b: 4, c: 16}? 28/57 Two letters picked without replacement from {r: 2, a: 1, m: 1, j: 1, h: 1, v: 2}. Give prob of picking 1 h and 1 m. 1/28 Calculate prob of picking 2 z and 1 t when three letters picked without replacement from ttzttzzztttzttzztzzz. 15/38 Three letters picked without replacement from jjiijfitjjjs. Give prob of picking 1 j, 1 i, and 1 s. 9/110 What is prob of picking 2 c when two letters picked without replacement from ccccccccc? 1 Four letters picked without replacement from tthhetzhhth. Give prob of picking 2 t, 1 h, and 1 e. 1/11 Two letters picked without replacement from ddnnnndn. Give prob of picking 2 d. 3/28 Two letters picked without replacement from qqua. What is prob of picking 1 q and 1 a? 1/3 Two letters picked without replacement from {n: 1, v: 2, g: 1}. Give prob of picking 1 v and 1 n. 1/3 What is prob of picking 2 c when two letters picked without replacement from {e: 5, c: 2, a: 7, f: 4, y: 2}? 1/190 Two letters picked without replacement from wrrwsssrrrsrr. Give prob of picking 1 s and 1 w. 4/39 Two letters picked without replacement from {p: 1, q: 2, g: 6, t: 1, a: 2}. Give prob of picking 1 q and 1 p. 1/33 Calculate prob of picking 3 o and 1 i when four letters picked without replacement from oiiioo. 1/5 Two letters picked without replacement from {y: 1, u: 6, m: 2, a: 6, q: 2}. Give prob of picking 2 a. 15/136 What is prob of picking 4 j when four letters picked without replacement from ttttjtjttjtttjttjtj? 5/1292 Calculate prob of picking 1 j and 2 t when three letters picked without replacement from thtjhj. 1/10 Calculate prob of picking 1 a, 1 o, and 1 k when three letters picked without replacement from kpopapppapo. 4/165 What is prob of picking 2 v and 1 f when three letters picked without replacement from vtfvfvvvtvvt? 21/110 Calculate prob of picking 4 k when four letters picked without replacement from kqqkqkk. 1/35 What is prob of picking 1 p and 1 d when two letters picked without replacement from vddprv? 2/15 What is prob of picking 1 i, 1 q, 1 g, and 1 h when four letters picked without replacement from {q: 1, h: 2, c: 2, g: 3, k: 6, i: 1}? 2/455 Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}. 1 Four letters picked without replacement from lllllvvv. What is prob of picking 3 l and 1 v? 3/7 Calculate prob of picking 2 k when two letters picked without replacement from {j: 11, k: 4, f: 3}. 2/51 Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {m: 3, i: 1, e: 2, d: 1, a: 5, b: 8}. 3/190 What is prob of picking 2 b when two letters picked without replacement from {b: 2, t: 1, a: 5, m: 3, q: 3, f: 1}? 1/105 Two letters picked without replacement from pppzjgqpg. Give prob of picking 1 z and 1 q. 1/36 Calculate prob of picking 1 b, 1 e, and 1 x when three letters picked without replacement from {g: 2, v: 6, e: 7, x: 3, b: 1}. 7/323 What is prob of picking 1 b, 1 j, and 2 o when four letters picked without replacement from sjoxobo? 3/35 Three letters picked without replacement from {g: 1, r: 2, e: 3, a: 7, o: 3, d: 2}. What is prob of picking 2 e and 1 a? 7/272 Four letters picked without replacement from mmbbb. What is prob of picking 1 m and 3 b? 2/5 What is prob of picking 2 q and 1 t when three letters picked without replacement from qqqqqqtqqtq? 24/55 Three letters picked without replacement from {a: 5, t: 2}. Give prob of picking 1 t and 2 a. 4/7 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from vywwvwyywwvkw. 3/13 Four letters picked without replacement from {w: 7, x: 12}. Give prob of picking 3 x and 1 w. 385/969 What is prob of picking 2 t when two letters picked without replacement from {e: 5, t: 2}? 1/21 What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 4, t: 2, y: 1, a: 4}? 8/55 Calculate prob of picking 3 l and 1 j when four letters picked without replacement from llllllljlj. 8/15 Two letters picked without replacement from {s: 4, o: 4, c: 2, u: 10}. W
{ "pile_set_name": "DM Mathematics" }
he r'th term of -70, -327, -750, -1339, -2094? -83*r**2 - 8*r + 21 What is the f'th term of -593, -618, -683, -806, -1005, -1298, -1703, -2238? -3*f**3 - 2*f**2 + 2*f - 590 What is the s'th term of -937, -912, -891, -874? -2*s**2 + 31*s - 966 What is the n'th term of 21, -12, -47, -84, -123, -164? -n**2 - 30*n + 52 What is the x'th term of -44, -112, -214, -350, -520? -17*x**2 - 17*x - 10 What is the b'th term of 220, 1041, 2434, 4399, 6936, 10045, 13726? 286*b**2 - 37*b - 29 What is the s'th term of 52071, 104144, 156217, 208290? 52073*s - 2 What is the p'th term of -45236, -90469, -135702, -180935, -226168, -271401? -45233*p - 3 What is the q'th term of -407150, -407148, -407146, -407144, -407142, -407140? 2*q - 407152 What is the u'th term of -221489, -442988, -664487? -221499*u + 10 What is the j'th term of -167456, -167447, -167418, -167357, -167252, -167091, -166862? 2*j**3 - 2*j**2 + j - 167457 What is the r'th term of 12370, 12378, 12386, 12394, 12402, 12410? 8*r + 12362 What is the g'th term of -11094, -11095, -11096, -11097? -g - 11093 What is the o'th term of 95912, 767289, 2589596, 6138299, 11988864, 20716757, 32897444, 49106391? 95911*o**3 - o**2 + 3*o - 1 What is the w'th term of 23603, 47211, 70819, 94427, 118035, 141643? 23608*w - 5 What is the u'th term of -8348, -16668, -24952, -33182, -41340, -49408? 3*u**3 - 8341*u - 10 What is the w'th term of -69, 130, 329, 528, 727, 926? 199*w - 268 What is the z'th term of 236, 257, 278? 21*z + 215 What is the v'th term of 1166, 1122, 1076, 1028? -v**2 - 41*v + 1208 What is the s'th term of -28182, -28167, -28154, -28143? -s**2 + 18*s - 28199 What is the f'th term of 1065, 1087, 1127, 1191, 1285, 1415? f**3 + 3*f**2 + 6*f + 1055 What is the d'th term of -2356, -4704, -7036, -9352, -11652, -13936, -16204? 8*d**2 - 2372*d + 8 What is the a'th term of 34567, 34565, 34561, 34555, 34547, 34537? -a**2 + a + 34567 What is the u'th term of -612, -1247, -1912, -2613, -3356, -4147, -4992? -u**3 - 9*u**2 - 601*u - 1 What is the z'th term of 742, 815, 938, 1111, 1334? 25*z**2 - 2*z + 719 What is the i'th term of -112, -368, -700, -1132, -1688, -2392? -4*i**3 - 14*i**2 - 186*i + 92 What is the n'th term of 124900, 124871, 124842, 124813? -29*n + 124929 What is the t'th term of -4689, -9475, -14261, -19047, -23833, -28619? -4786*t + 97 What is the z'th term of 66531, 132996, 199459, 265920, 332379, 398836, 465291? -z**2 + 66468*z + 64 What is the n'th term of -218, -779, -1714, -3023, -4706, -6763, -9194? -187*n**2 - 31 What is the m'th term of -7411, -7378, -7327, -7264, -7195? -m**3 + 15*m**2 - 5*m - 7420 What is the h'th term of -2173586, -4347170, -6520754, -8694338, -10867922, -13041506? -2173584*h - 2 What is the l'th term of -897, -676, -455, -234, -13? 221*l - 1118 What is the o'th term of -321, -324, -329, -336? -o**2 - 320 What is the m'th term of 21, 131, 319, 579, 905, 1291? -m**3 + 45*m**2 - 18*m - 5 What is the i'th term of 6751, 13430, 20107, 26782, 33455, 40126? -i**2 + 6682*i + 70 What is the m'th term of 1028, 2052, 3072, 4088? -2*m**2 + 1030*m What is the h'th term of -112, -525, -1236, -2245, -3552, -5157, -7060? -149*h**2 + 34*h + 3 What is the f'th term of 10222, 20463, 30708, 40957? 2*f**2 + 10235*f - 15 What is the j'th term of -1693, -1757, -1923, -2239, -2753? -8*j**3 - 3*j**2 + j - 1683 What is the k'th term of -375266, -375268, -375270, -375272? -2*k - 375264 What is the t'th term of 378957, 757918, 1136879, 1515840? 378961*t - 4 What is the t'th term of -99, -365, -787, -1359, -2075, -2929, -3915? t**3 - 84*t**2 - 21*t + 5 What is the c'th term of -312, -518, -860, -1338? -68*c**2 - 2*c - 242 What is the v'th term of -38350, -38300, -38250, -38200? 50*v - 38400 What is the a'th term of -283, -2242, -7553, -17890, -34927? -279*a**3 - 2*a**2 - 2 What is the g'th term of 222, 218, 204, 174, 122, 42? -g**3 + g**2 + 222 What is the g'th term of -30128, -60256, -90384, -120512? -30128*g What is the m'th term of 135, 252, 443, 702, 1023, 1400, 1827, 2298? -m**3 + 43*m**2 - 5*m + 98 What is the k'th term of 1497039, 1497038, 1497037? -k + 1497040 What is the z'th term of -150, -97, -44? 53*z - 203 What is the g'th term of 99, 100, 105, 114? 2*g**2 - 5*g + 102 What is the h'th term of 2448, 4917, 7386? 2469*h - 21 What is the f'th term of 639, 695, 817, 1029, 1355, 1819, 2445? 4*f**3 + 9*f**2 + f + 625 What is the v'th term of 1049, 2148, 3247, 4346, 5445, 6544? 1099*v - 50 What is the s'th term of -1282, -1205, -1118, -1021, -914, -797? 5*s**2 + 62*s - 1349 What is the k'th term of 376, 3103, 10536, 25033, 48952, 84651? 393*k**3 - 5*k**2 - 9*k - 3 What is the l'th term of 19247, 38412, 57485, 76460, 95331, 114092, 132737, 151260? -l**3 - 40*l**2 + 19292*l - 4 What is the x'th term of -209, -3, 207, 421, 639, 861? 2*x**2 + 200*x - 411 What is the h'th term of 36192, 72354, 108516? 36162*h + 30 What is the p'th term of 1111, -78, -1267, -2456, -3645, -4834? -1189*p + 2300 What is the y'th term of 2301, 4607, 6917, 9231? 2*y**2 + 2300*y - 1 What is the c'th term of -30, -1, 90, 237, 434, 675, 954, 1265? -c**3 + 37*c**2 - 75*c + 9 What is the v'th term of -123, -267, -425, -597, -783, -983, -1197? -7*v**2 - 123*v + 7 What is the h'th term of 454, 1225, 2516, 4333, 6682? h**3 + 254*h**2 + 2*h + 197 What is the g'th term of -135, -139, -153, -183, -235, -315, -429, -583? -g**3 + g**2 - 135 What is the j'th term of 5106, 1897, -1314, -4527, -7742, -10959? -j**2 - 3206*j + 8313 What is the d'th term of 13156, 13153, 13140, 13111, 13060, 12981, 12868? -d**3 + d**2 + d + 13155 What is the v'th term of 3189, 12770, 28749, 51138, 79949, 115194, 156885, 205034? 2*v**3 + 3187*v**2 + 6*v - 6 What is the t'th term of 758, 614, 480, 356, 242? 5*t**2 - 159*t + 912 What is the z'th term of 328658, 328657, 328656, 328655, 328654, 328653? -z + 328659 What is the d'th term of -1669, -1374, -1077, -778, -477, -174, 131? d**2 + 292*d - 1962 What is the s'th term of -1962, -1996, -2030, -2064? -34*s - 1928 What is the x'th term of 813, 3152, 7025, 12438, 19397, 27908, 37977, 49610? x**3 + 761*x**2 + 49*x + 2 What is the o'th term of -1738, -3360, -4966, -6556? 8*o**2 - 1646*o - 100 What is the w'th term of -1803850, -1803851, -1803852, -1803853, -1803854, -1803855? -w - 1803849 What is the c'th term of 1984, 3802, 5446, 6910, 8188, 9274, 10162, 10846? -c**3 - 81*c**2 + 2068*c - 2 What is the z'th term of 3, 27, 55, 75, 75, 43? -2*z**3 + 14*z**2 - 4*z - 5 What is the i'th term of -917, -1799, -2645, -3437, -4157, -4787? 3*i**3 - 903*i - 17 What is the o'th term of -4746, -13318, -27614, -47640, -73402, -104906, -142158, -185164? -o**3 - 2856*o**2 + 3*o - 1892 What is the w'th term of -32132, -128522, -289172, -514082? -32130*w**2 - 2 What is the c'th term of -358474, -358479, -358488, -358501? -2*c**2 + c - 358473 What is the q'th term of 90, -14, -458, -1410, -3038, -5510, -8994, -13658? -28*q**3 - 2*q**2 + 98*q + 22 What is the g'th term of -84071, -84052, -84045, -84056, -84091, -84156, -84257, -84400? -g**3 + 26*g - 84096 What is the b'th term of -2536, -2555, -2586, -2629, -2684, -2751? -6*b**2 - b - 2529 What is the f'th term of -31884, -31881, -31878, -31875, -31872, -31869? 3*f - 31887 What is the n'th term of -1630, -2201, -2768, -3337, -3914, -4505, -5116? -n**3 + 8*n**2 - 588*n - 1049 What is the r'th term of 108545, 217090, 325633, 434174, 542713? -r**2 + 108548*r - 2 What is the d'th term of 17923, 35840, 53757, 71674, 89591? 17917*d + 6 What is the w'th term of 7, -74, -177, -308, -473? -w**3 - 5*w**2 - 59*w + 72 What is the f'th term of 14681, 58762, 132215, 235028, 367189? -2*f**3 + 14698*f**2 + f - 16 What is the z'th term of -24, -64, -108, -156, -208? -2*z**2 - 34*z + 12 What is the k'th term of -475, -468, -433, -352, -207, 20, 347, 792? 3*k**3 - 4*k**2 - 2*k - 472 What is the u'th term of 72841, 145680, 218519, 291358, 364197, 437036? 72839*u + 2 What is the l'th term of 617, 2093, 4553, 7997? 492*l**2 + 125 What is the g'th term of 30915, 61809, 92715, 123639, 154587, 185565, 216579, 247635? g**3 + 30887*g + 27 What is the c'th term of 666, 2676, 6012, 10662, 16614, 23856, 32376, 42162? -2*c**3 + 675*c**2 - c - 6 What is the l'th term of -29890, -29896, -29914, -29950, -30010? -
{ "pile_set_name": "DM Mathematics" }
(-1 + 1 + 1). Suppose -4*i - 153 = -157. Put d, 5, i, -4 in decreasing order. 5, i, -4, d Let s be 4/(-56)*(-76)/95. Sort -4, s, 0, -0.3, -1/5 in descending order. s, 0, -1/5, -0.3, -4 Suppose 36*n = -132 + 276. Sort n, 1, -13/2, 2/3 in increasing order. -13/2, 2/3, 1, n Let n = -2992.4 + 3003. Put 4, 1/4, n, -0.3, -0.4 in decreasing order. n, 4, 1/4, -0.3, -0.4 Suppose 5*z = 5*c - 25, 6*z - 4*z + 4*c = -22. Let n be (-24)/42 - -1 - 32/z. Sort -14, 4, 2, n in descending order. n, 4, 2, -14 Suppose -111*f + 77*f = 68. Put -40, f, 5 in increasing order. -40, f, 5 Let r(k) = -2*k + 3. Let d be r(7). Let v = -15.9 + 10.9. Put v, -1, d in decreasing order. -1, v, d Let l(j) = j**3 + 3*j**2 - 2*j + 11. Let z be l(-4). Let w be (z + 25/(-5))/(-2). Let q(u) = -u**2 + 6*u - 8. Let d be q(4). Put w, 3, 6, d in decreasing order. 6, 3, w, d Suppose 344*d - 348*d - 16 = 0. Let m be (44/(-12) - -4)*0. Put d, -2, m in decreasing order. m, -2, d Let m be 44632/(-1225) - (0 - (-2)/7). Let l = m + 184/5. Let o = 0.05 + -0.35. Sort l, -0.2, -5, o. -5, o, -0.2, l Let c = -2445/4898 - 2/2449. Suppose 8*l = 3*l + 5*b + 30, 3*l - 22 = 5*b. Sort 0.25, -3/4, c, l in increasing order. -3/4, c, 0.25, l Let j be ((1 - -3)*1/5)/(189/(-135)). Let y be 1 + -3 + 500/245. Sort j, y, 2 in ascending order. j, y, 2 Suppose 2*l + 3*i - 37 = 0, 6*i - 90 = -5*l + i. Suppose 22*a = l*a. Put 4, a, -2, -3 in ascending order. -3, -2, a, 4 Let z(v) = -4*v + 11. Let r be z(6). Let d be 0 + 57/15 + (-1)/(-5). Let l = -272 - -277. Sort r, -5, d, l in ascending order. r, -5, d, l Let n = -0.001 + -0.999. Let w be 26/24 - 20/(180/21). Sort -0.5, 2, w, n. w, n, -0.5, 2 Let s be ((-85)/840)/((-1)/27). Let x = s + -23/8. Sort -0.8, -1/8, 1, x. -0.8, x, -1/8, 1 Let v = 1.43 - 35.43. Let g = v + 34.1. Sort -3/2, 2, g, -12 in decreasing order. 2, g, -3/2, -12 Let c = 7.3 + -7. Let m be ((-12)/(-72))/(5 - (7 + 49/(-28))). Let t = 0.3 - -0.2. Sort 0.2, t, c, m in descending order. t, c, 0.2, m Let h be (-1 - -1)*3/(-6) + -1. Let u be (-142)/(2/5*5*h). Let q = -69 + u. Sort q, 0, -0.4. -0.4, 0, q Let l(f) = 1401*f + 10837. Let p be l(-9). Put 2, -2, p in descending order. 2, -2, p Let p be 50/12 + (-7 - 164/(-24)). Suppose t + p*t - 40 = 0. Suppose 6*s = 14*s - t. Sort -4, -3, 5, s. -4, -3, s, 5 Let m(i) = -i**3 + 9*i**2 - 7*i - 1. Let r be m(8). Suppose -3*g - 16 = -73. Suppose 4*w - r = -g. Sort w, 4, -4, 3 in descending order. 4, 3, w, -4 Let t(v) = -2*v - 1. Let f be t(1). Let m be (1 + f)*8*1/4. Put 1, -5, 4, m in descending order. 4, 1, m, -5 Let n = -27296 - -27295. Sort 51, 25, n in ascending order. n, 25, 51 Let t = 2151 - 2156. Sort t, -2/17, -4.2 in increasing order. t, -4.2, -2/17 Let g(y) = y**3 + 16*y**2 + 15*y + 2. Let i be g(-15). Let u = 46 - 36. Suppose u*r - 6 = 13*r. Put -12, i, r in decreasing order. i, r, -12 Suppose 8*y - 6*y - 10 = 0. Suppose 0 = y*g + 3*h + h + 46, -4*g = -3*h + 12. Sort 1, g, 5. g, 1, 5 Suppose -120*f = -132*f - 2400. Let i be -2*(-4)/10*f/32. Put -1, 2, i in increasing order. i, -1, 2 Suppose 20 = 4*o + 4*p, 4*p = 2*o + 3*p + 5. Suppose 12 = 4*i - 4*s, s = 4*i - o*i. Sort -6, 3, -3, i in descending order. 3, i, -3, -6 Suppose 2068 = -17*q + 2085. Sort q, 12, 7, 2 in increasing order. q, 2, 7, 12 Let s = -4830.7 - -4830. Sort 1.5, s, 4. s, 1.5, 4 Suppose -52*i = -56*i - 52. Let x(q) = -q**2 + 22. Let j(m) = m**3 - 3*m**2 - 2*m + 3. Let z be j(2). Let s be x(z). Sort i, s, -5 in decreasing order. s, -5, i Suppose a + 18 = -r, -a - 8*r = 891 - 768. Let w = -25 - -16. Put 1, -5, w, a in ascending order. w, -5, a, 1 Let c = 367.687 + -368. Let o = -0.413 - c. Sort -0.4, -41, o in decreasing order. o, -0.4, -41 Let y = 566 - 2275/4. Let q = -4.45 + 4. Let m = -0.15 - q. Put y, -3/5, 5, m in increasing order. y, -3/5, m, 5 Let c be (-4)/6 + 20/3. Suppose 2 = -4*x + c*x. Let w be 3 + (x - 5) - 11/(-9). Sort w, -13, -2/17 in descending order. w, -2/17, -13 Let x be (132 - 130)*(-1)/4. Sort -0.3, x, 2, -0.6. -0.6, x, -0.3, 2 Let k = -20 - -23. Let v(r) = -4*r - 65. Let a be v(-12). Sort k, a, 1 in decreasing order. k, 1, a Let j = -8 + 13. Suppose -46*v + 18*v = 9655 - 9543. Put 1, -1, v, j in increasing order. v, -1, 1, j Let z = 11095.01 + -11095. Sort -0.08, 8/5, -5, z, 0.3 in increasing order. -5, -0.08, z, 0.3, 8/5 Let m be (-51)/136 + 116/(-32). Sort m, 11, -155 in increasing order. -155, m, 11 Let x = -1 - 2. Let k be ((-4)/16)/((-3)/(-4)) - 3213/(-1377). Put x, 14, k in increasing order. x, k, 14 Let o be (2 - (-38)/(-14)) + ((-264)/14 - -19). Put -2, o, -3, -14.33 in descending order. o, -2, -3, -14.33 Let j be 12/3 - (-140)/(-90). Let i = j - 581/234. Put -3, i, -0.06, -4/5 in decreasing order. i, -0.06, -4/5, -3 Suppose -6*i + a = -8*i - 6, 0 = -2*i - 2*a. Put 0, i, -7 in ascending order. -7, i, 0 Let r = 130195 - 10024594/77. Let o = r + -60/11. Put o, 3/8, 0 in decreasing order. 3/8, o, 0 Let d(f) = -f**3 + 32*f**2 - 224*f + 93. Let i be d(22). Sort i, -106, 14 in decreasing order. 14, i, -106 Suppose -10*q = -2*q - q. Let d(g) = 2*g**2 + g - 3 + 1 - 2. Let v be d(q). Sort -1, 11, v in ascending order. v, -1, 11 Let n(f) = -f**2 - 22*f - 114. Let w be n(-13). Sort 0, 1, w, 43 in decreasing order. 43, w, 1, 0 Let s = 1217.5 + -1219. Let n = -42 - -42.2. Let y = 12 - 11.6. Put n, 1, y, s in ascending order. s, n, y, 1 Let n be (-28)/15 + (-22)/165. Suppose 41*a = 11*a - 584 + 764. Sort 0, a, n, 5 in increasing order. n, 0, 5, a Let q = 2/4219 - -8420/37971. Sort 3, 51, -2, q, 2/11 in descending order. 51, 3, q, 2/11, -2 Suppose 104*l - 360*l + 3584 = 0. Sort -1, 2, 3, l, -4 in decreasing order. l, 3, 2, -1, -4 Let f = -11036 - -10881. Sort -1, f, 2 in descending order. 2, -1, f Let x = 28.3 - 28.3. Let f = 1.37 + 0.63. Put 2/7, x, 80, f in increasing order. x, 2/7, f, 80 Suppose 72*f + 5 - 137 = 12. Sort -3, -5, 8, -20, f. -20, -5, -3, f, 8 Let i = 217.8 - 217.5. Sort 302, i, -0.2 in descending order. 302, i, -0.2 Suppose 9*d + 48 = 21*d. Suppose r + r - 8 = -2*u, -d*u = -4*r. Let n be (2*2)/(-2) - -2. Sort -4, 3, u, n in decreasing order. 3, u, n, -4 Let x(p) = -p**2 - 222*p - 11835. Let l be x(-89). Let d = -0.01 + 1.21. Sort -1/4, l, d in descending order. l, d, -1/4 Suppose 458*r = 459*r + 2. Put -5, r, 0.556 in increasing order. -5, r, 0.556 Let w(q) = -9*q + 19. Let j be w(8). Let k(a) = 2*a**2 + 11*a + 29. Let m be k(-7). Let i = j + m. Sort 24, i, -2 in descending order. 24, -2, i Let h(r) be the second derivative of -1/12*r**4 + 0 - 5/3*r**3 + 9*r + 5*r**2. Let c be h(-11). Sort 1, -2, c, 0. -2, c, 0, 1 Let n(i) be the first derivative of -2*i**3/3 + 75*i**2/2 + 22*i - 176. Let l be n(38). Put -3, 4, l, -2 in decreasing order. 4, -2, -3, l Suppose -7*t - 13*t - 420 = 0. Let q be -1 + ((-15)/70 - (-6)/t). Sort 3, 1, 0, q in increasing order. q, 0, 1, 3 Suppose -5*y + 934 = c, 0*y + 736 = 4*y - 2*c. Let r be y/(-217)*7/(-3). Sort -1, 14, 1, r. -1, 1, r, 14 Let d be (-10)/35 - (-1296)/28. Suppose -2*y - 3 = -5*y. Sort d, -4, y in descending order. d, y, -4 Let x(f) = -17*f**2 - 165*f + 50. Let o be x(-10). Sort o, -2/11, 1/4, 11, -5/4 in increasing order. -5/4, -2/11, o, 1/4, 11 Suppose 8856 = -3*m + 8901. Put 0, 3, -1/4, m in decreasing order. m, 3, 0, -1/4 Suppose 6*v + 92 = 44. Let l be 6/v*(13 - 9). Put l, 4, -23 in descending order. 4, l, -23 Suppose 28*o = 442 - 470. Sort -8, -2, 1, o in descending order. 1, o, -2, -8 Suppose 58*t - 140 = 50 + 42. Put -2, t, 5, -4, -3 in decreasing order. 5, t, -2, -3, -4 Let f be (-129)/45 + 2/(-15). Put -1948, f, -2 in decreasing order. -2, f, -1948 Let k(u) = 2*u**2 - 29*u + 85. Let s be k(4). Put -3/4, s, 4, 2/7 in decreasing order. 4, s, 2/7, -3/4 Let s = 4 + 1. Suppose -4*f + 39 = -s*f. Let k = -37 - f. Sort -5, k, 1 in ascending order. -5, 1, k Let k = 1703 + -1698. Sort -121, -4, 0, k, 2 in decreasing order. k, 2, 0, -4, -121 Let d = 2249.5 + -2249. Put 2, -10, 2/7, -0.5, d in descending order. 2, d, 2/7, -0.5, -10 Let n(q) = -168*q + 1682. Let p be n(10). Sort -1, 1, -11, -3, p in increasing order. -11, -3, -1, 1, p Let i = -576.67 + 579. Let j = -2.27 + i. Sort 3, j, -0.04 in increasing order. -0.04, j, 3 Let i = 5047 + -4987. Sort 0.4, -0.3, i, -4 in ascending order. -4, -0.3, 0.4, i Let w be -1
{ "pile_set_name": "DM Mathematics" }
5, 30, 59, 92? 129 What is the next term in 8, 3, -2, -7, -12, -17? -22 What comes next: -30, -40, -48, -48, -34, 0? 60 What is next in 6, 15, 22, 27, 30, 31, 30? 27 What is the next term in -478, -472, -466, -460, -454? -448 What comes next: 42, 20, -110, -402, -910, -1688, -2790? -4270 What is next in -49, -98, -151, -208? -269 What is next in -69, -85, -111, -147, -193, -249, -315? -391 What comes next: 426, 3463, 11708, 27765, 54238, 93731, 148848? 222193 What is next in -1489, -1490, -1491? -1492 What comes next: -1, 7, 27, 65, 127, 219? 347 What is next in 13, -5, -63, -179, -371, -657, -1055? -1583 What is next in -257, -177, -43, 145, 387? 683 What is the next term in -28, -64, -124, -208, -316, -448, -604? -784 What is next in 9, -74, -167, -276, -407, -566? -759 What comes next: 433, 435, 437? 439 What is next in 132, 522, 1166, 2064? 3216 What comes next: -18, -55, -96, -141? -190 What is the next term in 177, 343, 497, 633, 745, 827, 873? 877 What is next in -293, -585, -877? -1169 What is the next term in 102, 92, 82, 72, 62? 52 What is the next term in -27, -26, -27, -30, -35, -42? -51 What comes next: 1684, 1687, 1690, 1693, 1696, 1699? 1702 What is next in -8, -22, -50, -92? -148 What is next in 43, 68, 93? 118 What is next in 76, 309, 700, 1249, 1956, 2821? 3844 What comes next: 15, 23, 29, 33, 35, 35, 33? 29 What is the next term in -231, -218, -207, -198? -191 What is the next term in -10724, -10723, -10722, -10721? -10720 What is next in -10, -25, -40, -55, -70? -85 What comes next: -487, -978, -1469, -1960? -2451 What comes next: 822, 1647, 2472, 3297, 4122, 4947? 5772 What comes next: 978, 980, 994, 1026, 1082, 1168, 1290? 1454 What comes next: 72, 88, 104, 120, 136? 152 What comes next: 64, 79, 94, 109, 124, 139? 154 What comes next: 2, 8, 32, 80, 158? 272 What is the next term in 6, 16, 24, 30, 34? 36 What is the next term in -34, -207, -486, -865, -1338, -1899, -2542, -3261? -4050 What is the next term in 582, 1164, 1746, 2328, 2910, 3492? 4074 What is the next term in -59, -62, -65, -68, -71? -74 What is next in -8, -42, -122, -266, -492? -818 What is next in 233, 242, 273, 338, 449? 618 What is next in 95, 102, 107, 104, 87, 50, -13, -108? -241 What is the next term in -39, -56, -49, -6, 85? 236 What is next in -57, -46, -27, 0, 35, 78? 129 What comes next: 36, 107, 210, 333, 464, 591? 702 What is next in 139, 140, 141, 142, 143? 144 What comes next: 316, 1284, 2890, 5128, 7992, 11476, 15574? 20280 What comes next: -4, -15, -48, -115, -228, -399? -640 What is the next term in -63, -262, -597, -1074, -1699, -2478, -3417? -4522 What comes next: 2896, 5792, 8688? 11584 What is next in 180, 765, 1740, 3105, 4860, 7005? 9540 What is next in 643, 695, 747, 799? 851 What is the next term in -107, -199, -289, -377, -463? -547 What is the next term in 38, 22, 0, -28, -62, -102, -148? -200 What is next in -75, -81, -87, -93? -99 What is the next term in 9, 22, 39, 60? 85 What comes next: 25, 91, 171, 271, 397, 555, 751, 991? 1281 What comes next: 799, 1602, 2405, 3208, 4011, 4814? 5617 What is next in -34, -154, -488, -1144, -2230? -3854 What is next in 17, 23, 19, -1, -43, -113, -217? -361 What is next in 51, 96, 151, 222, 315, 436, 591? 786 What is next in 134, 226, 318, 410, 502? 594 What is the next term in -14, -42, -86, -152, -246? -374 What comes next: 9146, 9140, 9122, 9086, 9026, 8936, 8810, 8642? 8426 What is next in -139, -149, -161, -175, -191, -209, -229? -251 What is next in 0, 6, 18, 36, 60, 90? 126 What is next in 109, 104, 97, 88? 77 What comes next: -50, -35, -30, -47, -98, -195, -350, -575? -882 What is next in 97, 95, 83, 55, 5, -73, -185? -337 What is the next term in -554, -553, -552? -551 What comes next: -452, -937, -1436, -1955, -2500, -3077, -3692, -4351? -5060 What comes next: -212, -216, -222, -230, -240, -252? -266 What is next in 9, 49, 151, 345, 661? 1129 What is the next term in 3, -17, -43, -69, -89, -97, -87? -53 What is next in -445, -886, -1339, -1810, -2305, -2830, -3391? -3994 What is the next term in -140, -35, 70, 175, 280? 385 What is the next term in -60, -85, -110, -135, -160? -185 What is the next term in 14, 36, 74, 128, 198, 284? 386 What comes next: -9, -7, -7, -9, -13? -19 What is the next term in -52, -97, -142, -187, -232? -277 What comes next: -101, -194, -277, -350, -413, -466? -509 What is next in 16430, 32862, 49294, 65726, 82158, 98590? 115022 What is the next term in 11, 100, 343, 818, 1603, 2776, 4415, 6598? 9403 What is next in -11, -19, -25, -29, -31? -31 What is the next term in 8, 1, 2, 17, 52, 113, 206, 337? 512 What is next in -323, -314, -305? -296 What is next in -9663, -19324, -28985, -38646? -48307 What is the next term in 1726, 1737, 1754, 1777, 1806, 1841? 1882 What is next in -7, 0, 9, 20, 33, 48, 65? 84 What is next in 18, 27, 36? 45 What is the next term in -10, -35, -76, -133, -206? -295 What comes next: 284, 275, 256, 221, 164, 79, -40? -199 What is the next term in 63, 252, 555, 966, 1479, 2088, 2787, 3570? 4431 What is the next term in 109, 170, 265, 388, 533? 694 What comes next: 14, 15, 16, 17, 18, 19? 20 What comes next: 3005, 3008, 3011, 3014? 3017 What comes next: 10, 8, 0, -14, -34? -60 What is the next term in 47, 43, 51, 71, 103, 147, 203? 271 What is the next term in -85, -436, -1013, -1810, -2821? -4040 What comes next: 12, 24, 40, 60, 84, 112, 144? 180 What comes next: 12, -75, -316, -789, -1572, -2743? -4380 What is next in 19, 127, 323, 613, 1003, 1499, 2107, 2833? 3683 What is the next term in 20, 39, 80, 149, 252, 395, 584, 825? 1124 What comes next: -439, -403, -345, -265, -163, -39, 107? 275 What is next in 85, 168, 261, 370, 501? 660 What is the next term in 140, 139, 136, 131? 124 What is the next term in -49, -168, -375, -682, -1101? -1644 What is the next term in -242, -224, -188, -128, -38, 88, 256? 472 What comes next: -2, 68, 276, 694, 1394, 2448, 3928, 5906? 8454 What is the next term in -956, -967, -986, -1013? -1048 What is the next term in -239, -288, -337? -386 What is next in -85, -142, -195, -244, -289, -330? -367 What is next in -56, -109, -162, -215, -268? -321 What comes next: -48913, -48914, -48915, -48916, -48917? -48918 What is next in 0, 18, 66, 150, 276, 450? 678 What is next in 887, 890, 903, 932, 983? 1062 What is next in 76440, 76431, 76408, 76365, 76296, 76195? 76056 What comes next: -5582, -5584, -5586? -5588 What comes next: 56, 195, 418, 719, 1092, 1531, 2030? 2583 What is the next term in 69, 74, 79, 84, 89? 94 What is the next term in -22, -34, -44, -52, -58, -62? -64 What is the next term in 32423, 32425, 32427, 32429, 32431? 32433 What is next in 105, 108, 113, 120, 129? 140 What comes next: -1302, -1290, -1266, -1224, -1158, -1062, -930, -756? -534 What is the next term in -135, -263, -377, -471, -539, -575? -573 What comes next: -72, -50, -14, 36, 100? 178 What is the next term in 55, 216, 483, 856, 1335, 1920? 2611 What is next in -60, -96, -194, -384, -696? -1160 What is the next term in -44, -51, -70, -107, -168, -259? -386 What is next in 131, 129, 125, 119? 111 What is next in -2586, -5173, -7760, -10347, -12934, -15521? -18108 What is next in -269, -539, -807, -1073, -1337? -1599 What is next in -143, -136, -129? -122 What comes next: -11, -8, 5, 34, 85, 164, 277? 430 What is next in -474, -1899, -4272, -7593, -11862? -17079 What is the next term in -3, -2, 1, 6? 13 What is next in 17, 28, 39? 50 What is next in 1158, 1166, 1186, 1224, 1286, 1378, 1506? 1676 What is the next term in 24, 19, 12, 3, -8, -21, -36? -53 What is next in -87, -99, -111, -123? -135 What is the next term in 5862, 5856, 5846, 5832, 5814, 5792? 5766 What comes next: 199, 395, 591, 787? 983 What comes next: -1001, -2001, -3001, -4001, -5001? -6001 What comes next: -1, 3, 5, 5? 3 What is next in -86, -137, -230, -371, -566? -821 What comes next: -23, -34, -37, -32? -19 What is the next term in -15, -28, -37, -36, -19, 20, 87, 188? 329 What comes next: 606, 618, 638, 666? 702 What is next in -104, -216, -328, -440, -552, -664? -776 What is the next term in -23, -37, -59, -89, -127, -173? -227 What is next in 1264, 1268, 1274, 1282, 1292, 1304? 1318 What is the next term in 2478, 4958, 7438, 9918? 12398 What comes next:
{ "pile_set_name": "DM Mathematics" }
fjjjff. Give prob of picking 3 j and 1 f. 10/99 Calculate prob of picking 4 o when four letters picked without replacement from {u: 5, o: 9}. 18/143 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xdxzzij. 2/21 Four letters picked without replacement from {e: 6, j: 7, t: 2}. Give prob of picking 3 j and 1 t. 2/39 Four letters picked without replacement from aazaaaaaaaza. What is prob of picking 1 z and 3 a? 16/33 Four letters picked without replacement from tkllslkllsptlllpkklu. Give prob of picking 2 s and 2 l. 12/1615 Three letters picked without replacement from muxlj. What is prob of picking 1 x, 1 m, and 1 u? 1/10 Two letters picked without replacement from {a: 10, j: 3, b: 1, m: 4}. What is prob of picking 1 j and 1 b? 1/51 Two letters picked without replacement from {n: 1, z: 1, d: 1, h: 1, i: 5}. What is prob of picking 1 d and 1 h? 1/36 Two letters picked without replacement from {j: 6, a: 4}. Give prob of picking 2 j. 1/3 What is prob of picking 1 w and 1 o when two letters picked without replacement from wrvttwvovv? 2/45 What is prob of picking 2 k and 1 r when three letters picked without replacement from {r: 2, k: 4, n: 5}? 4/55 What is prob of picking 2 k when two letters picked without replacement from oekekklk? 3/14 Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bddbbbbbbb. 1/15 What is prob of picking 1 w, 1 r, and 1 c when three letters picked without replacement from {w: 6, r: 4, c: 4, f: 4}? 2/17 Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {w: 1, x: 3, y: 1}. 3/10 Two letters picked without replacement from sccccscccsccscscccs. Give prob of picking 2 c. 26/57 What is prob of picking 2 h and 1 c when three letters picked without replacement from ccccccccccchcchcccc? 1/57 What is prob of picking 1 v, 1 i, and 1 w when three letters picked without replacement from {v: 3, y: 3, i: 2, u: 1, w: 6}? 36/455 What is prob of picking 1 i and 1 n when two letters picked without replacement from {n: 1, i: 1, p: 1}? 1/3 Calculate prob of picking 3 g and 1 j when four letters picked without replacement from {g: 8, j: 1, p: 10}. 14/969 What is prob of picking 2 e when two letters picked without replacement from {a: 3, e: 13}? 13/20 Four letters picked without replacement from emaacmfxxmmmec. What is prob of picking 1 x, 2 m, and 1 f? 20/1001 Four letters picked without replacement from {j: 1, s: 4, e: 4, h: 2}. What is prob of picking 1 e, 1 j, and 2 s? 4/55 Three letters picked without replacement from zzzbzoojooottzooo. Give prob of picking 1 o and 2 z. 2/17 Three letters picked without replacement from uauu. What is prob of picking 2 a and 1 u? 0 Four letters picked without replacement from wagrggrwgggggwwgggg. Give prob of picking 1 r, 2 w, and 1 a. 1/323 Three letters picked without replacement from {r: 2, m: 2, a: 2, y: 1, v: 1}. What is prob of picking 1 v and 2 r? 1/56 Four letters picked without replacement from qesevssevmqmevemqqve. What is prob of picking 4 v? 1/4845 Three letters picked without replacement from eeeehheeeeheeee. Give prob of picking 2 h and 1 e. 36/455 What is prob of picking 2 f when two letters picked without replacement from {f: 4, h: 1, q: 1, t: 3, x: 2}? 6/55 Four letters picked without replacement from cvzzzcvszzsszcscu. What is prob of picking 1 u, 2 c, and 1 s? 6/595 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {b: 3, j: 8, g: 6}. 3/85 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from qmqqqqmqq. 7/18 Two letters picked without replacement from {q: 3, e: 2, r: 1, v: 8, x: 5}. Give prob of picking 2 v. 28/171 Two letters picked without replacement from qmjjmjwwjjmwjj. What is prob of picking 2 w? 3/91 What is prob of picking 3 z when three letters picked without replacement from cxczcccccczcczc? 1/455 What is prob of picking 1 f and 1 d when two letters picked without replacement from fqalkkda? 1/28 What is prob of picking 3 a when three letters picked without replacement from {a: 6}? 1 Two letters picked without replacement from lljjxoljjjojolo. Give prob of picking 2 o. 2/35 Two letters picked without replacement from fvhhvvlllvvvvfivfs. Give prob of picking 1 v and 1 l. 8/51 Calculate prob of picking 1 g and 3 e when four letters picked without replacement from {g: 3, e: 17}. 8/19 Four letters picked without replacement from {h: 7}. Give prob of picking 4 h. 1 What is prob of picking 3 d when three letters picked without replacement from nnnngddggnngdndn? 1/140 Three letters picked without replacement from {p: 1, i: 2, o: 2, n: 9}. What is prob of picking 3 n? 3/13 Calculate prob of picking 2 c and 1 b when three letters picked without replacement from cjbcbln. 2/35 What is prob of picking 3 d and 1 w when four letters picked without replacement from wkkkdwdkddddkdwdkdk? 21/323 Calculate prob of picking 1 d and 2 q when three letters picked without replacement from fdqq. 1/4 Four letters picked without replacement from {u: 15, g: 4}. What is prob of picking 2 u and 2 g? 105/646 Two letters picked without replacement from ssxxssmsx. What is prob of picking 1 x and 1 s? 5/12 What is prob of picking 2 l when two letters picked without replacement from lllllalllllll? 11/13 What is prob of picking 2 l, 1 z, and 1 f when four letters picked without replacement from {g: 4, l: 3, z: 2, f: 1}? 1/35 Three letters picked without replacement from {m: 1, s: 4, w: 3, n: 1, t: 3, h: 3}. Give prob of picking 1 n, 1 m, and 1 w. 3/455 Two letters picked without replacement from {r: 4, j: 1, u: 4, b: 3, l: 1, c: 2}. What is prob of picking 2 r? 2/35 What is prob of picking 2 b and 1 r when three letters picked without replacement from jibjjbrrbbjbbtjjjjj? 10/323 Calculate prob of picking 1 g, 1 c, and 1 w when three letters picked without replacement from {o: 2, i: 1, d: 2, w: 3, g: 2, c: 4}. 6/91 Two letters picked without replacement from cwxwxwwcwxcwx. Give prob of picking 1 c and 1 w. 3/13 Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 12, y: 7}. 84/323 Four letters picked without replacement from {o: 2, h: 3}. Give prob of picking 3 o and 1 h. 0 Two letters picked without replacement from pvppptdgpppp. What is prob of picking 2 p? 14/33 Calculate prob of picking 1 s, 1 d, and 1 p when three letters picked without replacement from jzzrpsjddsdj. 3/110 Calculate prob of picking 2 m when two letters picked without replacement from mwwwwwmwmw. 1/15 Calculate prob of picking 2 u and 1 s when three letters picked without replacement from uds. 0 Calculate prob of picking 4 h when four letters picked without replacement from {v: 3, d: 8, m: 1, h: 5, x: 1, g: 2}. 1/969 Calculate prob of picking 2 a when two letters picked without replacement from ggala. 1/10 Three letters picked without replacement from {z: 3, k: 4, b: 2}. Give prob of picking 2 b and 1 k. 1/21 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from lddllldlizil. 2/11 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, d: 5, y: 4}. 1/55 What is prob of picking 3 i when three letters picked without replacement from iikiiiii? 5/8 What is prob of picking 1 x and 1 i when two letters picked without replacement from zzxhixizvaax? 1/11 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {m: 2, f: 1, o: 2, g: 1}. 1/15 What is prob of picking 4 f when four letters picked without replacement from ffff? 1 Four letters picked without replacement from leewwelelllll. What is prob of picking 1 l, 1 e, and 2 w? 28/715 Calculate prob of picking 2 g when two letters picked without replacement from {p: 2, g: 11}. 55/78 Three letters picked without replacement from ykkktmkkkyykzkyky. Give prob of picking 1 k, 1 z, and 1 t. 9/680 What is prob of picking 1 r and 1 k when two letters picked without replacement from rhkrpkrfprrrkprk? 7/30 Two letters picked without replacement from bawrgagw. What is prob of picking 1 a and 1 g? 1/7 Three letters picked without replacement from {q: 2, a: 3, i: 1, o: 1}. What is prob of picking 1 o and
{ "pile_set_name": "DM Mathematics" }
, m*c - n*h - 4 = -c for c. -1 Let t = -33 + 39. Suppose 59 - 77 = -t*y. Solve -4*r = -8, -z = r - 0*r + y for z. -5 Suppose 4*m + 4 = -3*b + 16, m = 3*b - 12. Let n be (-14 + 0/b)/1. Let c be (515/35 - -4) + (-4)/n. Solve 2*h - 20 + 1 = -5*r, -2*r + 3*h + c = 0 for r. 5 Let f = -759 + 1304. Let v = -543 + f. Solve -k + o = -2, v*k + 4 = -5*o - 6 for k. 0 Let c be 6/(-5) + 17028/(-110). Let y = -153 - c. Solve s = 5*o + 4 + 14, 0 = 4*o + 5*s - y for o. -3 Let x = 35 + -32. Suppose -x*o = -134 - 217. Suppose -o - 23 = -7*v. Solve -5*y + 25 = 4*t, -3*y - y + v = -2*t for y. 5 Let j be -633*(-3)/(-15) - (-22)/(-55). Let l = j + 128. Let v(t) = -t**3 - 11*t**2 + 11*t - 9. Let m be v(-12). Solve 5*d + 4 = -3*x, -x + l - m = d for x. -3 Let a be ((-60)/(-36))/((1/3)/(1247/29)). Solve 12 = x - 5*s, -219*s + a*s - 9 = -x for x. -3 Suppose 28 = -4*w + 6*w. Let k be (-696)/w + (-2)/7 - 2. Let j = -48 - k. Solve -4*a + 23 = f + 6, -j*f = -a - 17 for a. 3 Let w be (-4)/(-6 - 2)*(-4)/2. Let i be w/(-1)*(39 + 3)/2. Solve -2*j = 3*m - i, 6 = j - 4*m + 23 for j. 3 Let q be (-10)/75 - (-366)/45. Suppose 2*o - 4 = -5*u + u, 2*u + q = 4*o. Solve -5*v + u + 7 = 3*a, 2*v = 3*a + 7 for v. 2 Suppose -5*h - 2*y = -19, h - 3*h - 5 = 5*y. Let w = -14 - -5. Let a(l) = -l - 7. Let q be a(w). Solve -5*i + 2*p - 2 = 6, -q*i = -h*p - 1 for i. -2 Let y be (-1)/(10/2) - 87604/(-220). Let w = -395 + y. Suppose 2*z - 3 = 3*l, -4*l + l - 6 = -3*z. Solve w*r + s = -5, 5*s = z*r + s + 10 for r. -2 Let x(u) = 3*u + 248. Let a be x(-76). Solve -35*z + 4*t = -30*z - 20, 5*z - a = 5*t for z. 4 Suppose 5*t - 5*o + 10*o = 90, 4*o = -5*t + 87. Solve -3*a = 3*r - 15, 4*r - t*a = -14*a + 20 for r. 5 Let p = 715 + -713. Solve -12 = -5*n + 4*n + 2*y, p*y = 4*n - 18 for n. 2 Suppose 5*f - 43 = 27. Let y be (14/77)/((-22)/(-605)). Let i(a) = -2*a**3 + 14*a**2 + 17*a - 6. Let d be i(8). Solve y*k - 2*t = k + f, d*t - 11 = -k for k. 5 Suppose 3368*p = 3322*p + 138. Solve -3*a + 17*w - 13*w = -13, -5*a + 2*w = -p for a. -1 Suppose 2*k = -0*k - c + 33, 4*k - 4*c - 84 = 0. Let m(z) = -5*z + 94. Let o be m(k). Solve h = o*t - 21, 18 = 3*t + 2*h - 5*h for t. 5 Let b = 6954 - 6954. Solve 4 = 75*c - 76*c, 4*v + 2*c = b for v. 2 Suppose 0 = -22*x + 21*x - 2*f - 136, -4*x - 560 = 4*f. Let h = 145 + x. Solve -3*t + 0 = -2*k - h, 4*t = 4*k - 4 for k. 4 Suppose 2*g = -4*g. Suppose 14*r + 49 - 91 = g. Solve 0 = -u + r, 0*u = -4*w - 3*u + 25 for w. 4 Suppose -5*x + x - 3*u = -2, 0 = -u - 2. Suppose -4*d - x + 38 = 0. Suppose 14*b = 18*b - 64. Solve 2*q - d = y, -5*y - 2*q - b = -y for y. -5 Suppose -3*o - 10*n + 11*n + 7 = 0, 2 = 3*o + 4*n. Solve -2*j - c - 9 + 4 = 0, 5*j - o*c = -35 for j. -5 Suppose 5*o + 11*y - 10*y = 19, o = 2*y + 6. Suppose d = o*b - 13, b - 1 - 3 = 0. Solve -x = 5*c - 15, -c + 5*x = 4*x - d for c. 3 Suppose -h - 4*o + 48 = 0, 2*h - 3*o = 26 + 15. Solve 25*n - 15 = h*n, -21 = 4*p + n for p. -4 Let z be 2*-2*(-3)/6*(-65 - -67). Let x = 10 - 8. Suppose x = 3*o - 4. Solve -5*q + 9 = -z*t, t = o*q + 2*t - 1 for q. 1 Let n = 4162 + -4141. Solve -3*j - 4*t = -n, -5*t = -4 - 11 for j. 3 Suppose -6*b = 2*o - 148, -3*o = -5*o + b + 99. Solve o*j + 2*z = 49*j + 4, 2*j = -2*z for j. 2 Suppose -377*k = -336*k - 328. Solve 5*v - 7 = -17, 4*s - 2*v = -k for s. -3 Let n(q) = -2*q + 7 - 18 - q**3 - 5*q**2 + 4. Let v = 10 + -15. Let t be n(v). Solve -t*c + 1 = c + g, -4*g + 4 = 4*c for c. 0 Let s = 2586 + -2564. Suppose -r + 14 = x, 10 = -3*x + 2*r + 72. Let l = s - x. Solve -2*d - l = -c, -2*d + 5*c - 10 = 2 for d. -1 Let r be ((-3)/(-4))/(3/12). Let h(t) = 671*t - 2680. Let l be h(4). Solve b - r*z = 11 - 4, -l*b + 5*z + 21 = 0 for b. 4 Suppose 5*j - 124 = -2*i + 35, -2*i + 66 = 2*j. Suppose j = 16*m - 33. Solve 0 = -3*d - m*w + 8, -4*d = -2*w + 5 + 21 for d. -4 Suppose -1 - 2 = -59*t - 3. Solve 3*f - 2*o + 19 = 0, f + t*f + 1 = -2*o for f. -5 Let x be ((-14)/(-21))/((-4)/(-6)) + -286. Let l = -280 - x. Solve -4 = 4*r + 4*y, -l*y - 15 = r - 2 for r. 2 Let o = -285783 - -285786. Suppose -4*k = 7*w - 2*w + 7, -k + 11 = -3*w. Suppose -k*f + 10 = -0. Solve o*m - 12 = 0, -f*x - 2*m - 12 = -x for x. -5 Let q(v) = -v**2 - 1. Let k(u) = 5*u**2 + 7*u - 9. Let w(b) = -k(b) - 6*q(b). Let d be w(5). Solve -d*z = y - 17, -11 = -3*z - y - 0*y for z. 3 Suppose -8*h + 5*h = -3. Let v be (96 - (h - 4))*(-3)/(-9). Let o be -1 - 8/(-6) - v/(-9). Solve -24 = -c - 2*c + 3*z, 3*z = -4*c + o for c. 4 Suppose -5123 = -16*c - 5059. Solve -13 = c*z - f, 0*z + 11 = -3*z + 2*f for z. -3 Suppose -68*b + 924 = 64*b. Solve -33*y + 37*y = 8, 5*x + b = y for x. -1 Let f(i) = i**2 - 2*i - 5. Let a be (-1)/(8/(-26)) + 30/40. Let c be f(a). Suppose -8 = c*r - 7*r. Solve 4*t = 2*s - 14, s + r*t = -0*t + 3 for s. 5 Let m be (-50)/(-30) + 1/3. Solve 8*u - 6*u - m*k - 16 = 0, 3*k + 34 = 5*u for u. 5 Let i = -874 - -876. Solve -3*p = -4*f - 2, i*p - 4*f - 8 + 4 = 0 for p. -2 Let l be -3*(1 + (-8 - -6)). Let q(i) = -i**3 - i**2 - i - 1. Let v be q(-2). Suppose -p + v = l. Solve -p*k + 1 = 2*w + 3, -3*k - 2*w = 0 for k. 2 Suppose 79 = i + 3*i + s, 89 = 5*i - 2*s. Suppose g = 3*o - 9, 5*o + 5*g = 8*g + i. Solve -4*q - 36 = 4*b, -2*q + 12 = o*b - 6*b for q. -4 Suppose -3*i - 24 - 251 = -14*i. Solve 5*o = -y + 5, -i*o + 20*o - 20 = -4*y for y. 5 Let w = -227 + 161. Let l be (-1)/((-2)/(-10))*66/w. Solve 2*y - 2 = l*c + 4*y, 2*c = 5*y - 24 for c. -2 Suppose 38*u - 8 - 131 - 13 = 0. Solve -23 = 3*n - u*i, 3*i = -n - 2*i + 24 for n. -1 Let s(g) = -g**2 + 102*g - 554. Let c be s(6). Solve -20*v + 21*v = -2*o + 7, 4*v + 5*o - c = 0 for v. 3 Let r(a) = a**2 - 5*a - 10. Let p be r(-2). Suppose p*h - 100 = -h. Let b be h/10 + 2/2 + 1. Solve 2*y - 12 = b*t, y - 2*y + 10 = -3*t for y. -2 Let w = 205 - 208. Let j be 5 - -3 - 8 - w. Suppose -8 = -4*z + 3*n + 1, n - 1 = 0. Solve 3*o = 4*k - z, 4*o = -j*k + 7*o for k. 3 Suppose -117*y - 40 = -443 - 65. Solve -2*l - y*q - 12 = -2*q, -2*l - 5*q - 21 = 0 for l. -3 Suppose -4*z + 5*h - 28 = 0, 3*z - 13 = 4*z - 2*h. Solve 10 = -z*u - 2*u - 2*v, 5*u = 5*v - 10 for u. -2 Suppose -26*m = -31*m + 55. Suppose 0 = -k + z + 15, -4*k + 44 + 7 = -z. Let l be 3*(0 - (-20)/k). Solve l*h = -2*i + 25, -3*i + 9 = 4*h - m for i. 0 Let w be (1 + 2/4)/((-18)/(-48)). Suppose 8*m + w*m = 48. Solve -4*a + a - 19 = -2*q, -q + 22 = -m*a for a. -5 Suppose -132 = 4*k - 4*o, k + 15*o = 12*o - 21. Let m be k/(-40) - (-13)/4. Solve -3*y = -g - 11, -4*y - m*g = -14 - 6 for y. 4 Suppose -33 + 1 = 16*c. Let m be (-462)/(-54) + c + 110/45. Solve -q + 0*u - 3 = -2*u, 0 = -3*q - 4*u - m for q. -3 Let d(w) = -88*w**3 + 49*w**2 + 70 + 174*w**3 - 87*w**3 + 32*w - 16*w**2. Let r be d(34). Solve 2*m - 8 = -r*l - 0*l, -11 = -5*l + 4*m for l. 3 Suppose 4*h - 29 = -3*p - 3, 2*p - 24 = -4*h. Let t be (h - 3) + (-13 - -15). Solve -2*r = 5*u + 23, 2*u = -r - 5 - t for r. 1 Let m(f) = -f**3 + 36*f**2 + 34*f + 111. Let p be m(37). Suppose p = 12*o + 110 - 110. Solve o = x - 2*u, 5*x + 5*u + 8 = -7 for x. -2 Suppose 30*x - 799 + 169 = 0. Solve -4*h = 3*i, 0 = 3*i + 8*h - 11*h - x for i. 4 Let b(d) = 24*d - 63. Let z be b(7). Let l = z + -100. Solve -3*m = v + 8, 3*m - l*m - 2*v = 4 for m. -3 Let i be 18/60 + (-259)/(-70). Solve 0 = h + 3, i*v - 5 = 5*h - 2 for v. -3 Let t = 1444 - 1441. Solve 3*q - 2*a = q, 2*q + t*a = 5 for q. 1 Let y be (-14)/(-77)*-33*2/(-3). Solve 31 - 15 = -y*r - 3*i, -5*r = 5*i + 20 for r. -4 Suppose 6 = 2*r - 14. Let c(n) = -5*n - 7. Suppose -9*l + 1 = 19. Let s be c(l). Solve 5*g = k + 3*k - r, -1 = -s*g + k for g. 2 Let y(f) = f**3 + 22*f**2 + 22*f + 40. Let o(j) = 2*j**3 - 67*j**2 - 35*j + 13. Let v be o(34). Let s be y(v). Solve 5*w + 7 = 3*w + r, 2*w + 3*r = -s for w. -5 Let d = -4995 + 4996. Solve 3*j - 3*a - 8 = d, -j = 5*a - 3 for j. 3 Suppose 23 + 65 = 9*o - 11. Solve 2*n - 4*q = -3*n - 13, -5*n + 3*q = o for n. -1 Let k = 530 + -776. Let p = k - -250. Suppose 0 = w + w. Solve -b + 3*s - 19 = w, b - p*b - 3*s = -3 for b. -4 Let p(h) = -4*h**3 - h**2 + 2. Let l be -3 - (120/(-45) - (-2)/3). Let k be p(l). Solve 3*i + 12 = 3*w, -20 = -k*w - 0*i + 4*i for w. 4 Suppose 4*c + 0*t + 2*t = 14, -4*c + 5 = -t. Suppose 0 = -c*z - a + 69, a + 116 = 4*z - z. Let k = 41 - z. Solve -4*i - 3 = -k*o + 17, -2 = -4*o - 2*i for o. 2 Suppose 5*
{ "pile_set_name": "DM Mathematics" }
-0.5 (b) n (c) h a Suppose -2*m + 0*m = 10. Let n = 0.67 + -0.97. Which is the biggest value? (a) m (b) 0.04 (c) n b Let m be 4/6 - (-4)/12. Which is the biggest value? (a) m (b) -3 (c) -3/5 a Let i = 126 + -126.01. Which is the fourth smallest value? (a) 0.1 (b) -3 (c) i (d) -4 a Let p = 5.3 + -5. Let x = 0.9 - p. Let z = x + -1. What is the second smallest value in 2/3, z, 2? 2/3 Let k = -4.95 - -5. Let m = 7.4 + -7. Which is the third smallest value? (a) k (b) -1/3 (c) m c Suppose -5*q + 18 = -2. Let r(a) be the first derivative of -a**4/4 + 4*a**3/3 + a**2/2 - 3*a - 2. Let w be r(q). What is the biggest value in w, 4, -3/7? 4 Let w = 4.958 - -0.042. Which is the fourth biggest value? (a) w (b) -2 (c) -0.4 (d) 1/3 b Let m = -325 - -320. Let y be 8/(-45) + 6/(-27). Suppose 0 = -4*s + 9 + 7. What is the third smallest value in s, m, y? s Let y = 2 + -0.5. Let i = y - 1. Which is the smallest value? (a) i (b) 4 (c) -0.2 c Let k = 5 - 8. Let s = k - 0. Suppose -3 = -3*n + l + 1, -4*n = -4*l. What is the third biggest value in n, -5, s? -5 Let h(i) = -i**3 - 4*i**2 - 2*i - 2. Let k be h(-3). Which is the smallest value? (a) -20 (b) k (c) -0.3 a Let s be 3/1*(-8)/(-6). Let u = -2.26 + -0.34. Let q = u - 0.4. Which is the second biggest value? (a) s (b) 0.3 (c) q b Let s = -2.2 - -2.5. Which is the second smallest value? (a) 3 (b) s (c) -2/9 b Let i = 7 - 8. Which is the third smallest value? (a) i (b) 0.3 (c) 1.2 c Let p(h) = h**2 - 21*h + 66. Let u be p(17). Which is the biggest value? (a) u (b) -1/3 (c) -0.2 (d) -10 c Suppose -2*v = -3*h - 0 - 2, 0 = -5*v - 2*h + 5. Suppose 4*q - 2 - 2 = 0, -k + 2*q = 9. Which is the biggest value? (a) k (b) v (c) 0.2 b Let g = -143 - -52. Let q = g - -367/4. Let r(t) = t**3 - 7*t**2 - t + 7. Let d be r(7). Which is the biggest value? (a) q (b) 0.3 (c) d a Let r = 8 + -6. Let i be ((-4)/(-20))/(8/(-10)). Which is the second smallest value? (a) i (b) r (c) -4 a Let y = 25 + -80/3. What is the second biggest value in 3, y, 1/4? 1/4 Let w = -14 - -13. Which is the third smallest value? (a) -3 (b) 4 (c) w b Let o = 2.2 + -2.1. What is the smallest value in 2/11, -5, o, 12? -5 Let r = -0.08 + 0.02. Let i = -3.06 - r. Let f = 0.2 - -0.1. What is the second smallest value in i, 5, f? f Let q = 0.11 + -0.19. Let f = 0.28 + q. What is the second smallest value in f, 4/3, -0.3? f Let c = 0.129 - 0.229. What is the third biggest value in -2/7, 5, -4, c? -2/7 Let u = -4.6 + 7.7. Let x = 3 - u. Which is the third smallest value? (a) 2 (b) 4/7 (c) x a Suppose -4*h = -11 - 13. Let c = h - 8. What is the biggest value in c, -3/2, 3? 3 Let u = -6 - -11. Let d(x) = x**3 - 4*x**2 - 4*x - 2. Let b(a) = a**2 - 3*a + 1. Let g be b(4). Let k be d(g). What is the second biggest value in u, -0.3, k? k Let v = 10 + -9.76. Let m = -0.06 - v. Let k = m + 0.3. Which is the third smallest value? (a) -4 (b) k (c) 0.5 c Let o = 0.4 + -0.3. Let g = 1.1 - o. Let u be 4/18 + (-830)/(-315) + -3. Which is the third biggest value? (a) g (b) u (c) -1 c Let r = -1/60 - -4/15. Let v = -0.9 + 0.8. What is the smallest value in -2, v, r? -2 Let r = -37 - -32. Let l = -0.3 - 0. Which is the third biggest value? (a) l (b) 1/8 (c) r c Let u = -12 - -10.9. Which is the smallest value? (a) 5 (b) -2/5 (c) u c Suppose 4 + 2 = 3*u. Let w = -1/56 + 115/168. What is the smallest value in w, -0.5, u? -0.5 Let a = 2 + 3. Let g be 2 - (56/9 - 4). What is the second biggest value in 3, a, g? 3 Let s = -27 - -28. Let t be ((-4)/(-10))/((-2)/10). What is the third biggest value in 5, t, s? t Let j = -0.3 + -0.2. Suppose 209 = n - 4*f, f + 20 - 402 = -2*n. Let r = n - 1354/7. Which is the biggest value? (a) r (b) 0.3 (c) j b Let q = -4/5 - -17/15. Let o = 32 - 27. Suppose 0 = 2*j - o*j. What is the smallest value in q, j, -1/5? -1/5 Let r = -13 + 18. Suppose r = 4*n - 7. Suppose n*f - 2 = -5. Which is the third biggest value? (a) 5 (b) -2/3 (c) f c Let s = -2.4 + -6.6. Let f = -13 - s. Which is the second smallest value? (a) -1 (b) f (c) 0 a Let r = 2 + 2. Let y = 0.63 + -3.63. Which is the second biggest value? (a) 1/9 (b) y (c) r a Suppose -2*x = -3*n + 35, 4*x + 3*n = -n - 40. Let j be 1 - (-2)/(22/x). Let a = 48 + -45. What is the smallest value in j, a, 1/2? j Let y be 6/(-12) - (-3)/(-2). Let h be y*(-3)/(-33)*1. Let i = 4.05 + -0.05. What is the second smallest value in i, -0.2, h? h Let q = 3.58 - -0.32. Let j = -4 + q. Let d = j - -0.2. Which is the biggest value? (a) d (b) 3 (c) 1 b Let x = 8.5 - -0.5. Let o = 9.1 - x. Which is the biggest value? (a) 3/4 (b) -1 (c) o a Let p = 4.7 + -0.7. Which is the second biggest value? (a) -0.5 (b) 0.1 (c) p b Let v be (6/(-4))/(3/(-4)). Let i = 55 - 50. What is the smallest value in v, -0.5, i? -0.5 Let q = -1 + -1. What is the second smallest value in -1, 3, q? -1 Suppose 13 = -10*j + 3. Which is the fourth smallest value? (a) -6 (b) 0.5 (c) j (d) -1/3 b Let j = -0.1 + 0.2. Let i = 1.5 + -1.9. Which is the biggest value? (a) j (b) i (c) 2 c Let f = 13 + -17. What is the third smallest value in -0.3, f, -1/3? -0.3 Let j = -8 + 17. Let r = -9.1 + j. Let y be ((-2)/8)/((-6)/(-8)). Which is the second biggest value? (a) y (b) r (c) 1/3 b Let f = -9 + 8.5. Which is the second smallest value? (a) -2/7 (b) f (c) 2/5 a Let j = -46 - 14. Let l = j + 239/4. Let s = 10 - 6. What is the smallest value in l, -0.4, s? -0.4 Let r = -4.5 - -4. Which is the second smallest value? (a) -3 (b) r (c) 0.08 b Suppose -b = 2*b + 12. Let u be (-2)/4 - 6/b. Let h be 4/(-6)*u*-6. What is the second biggest value in h, -0.4, 2/3? 2/3 Let r = -25.7 - -42. Let t = -16 + r. Let s = -5/4 - -47/44. Which is the second smallest value? (a) s (b) 4 (c) t c Suppose 1 = -k + 2*k. What is the third smallest value in k, 3, -0.4? 3 Let h = -104 + 99. Which is the smallest value? (a) 1/6 (b) 0.06 (c) h (d) -3 c Let f = -22 + 14. Let v = -5 - f. Let d = -131/136 + 10/17. Which is the second biggest value? (a) d (b) -0.4 (c) v a Let h = -0.3 + 0.4. Let w be (-4 - (-1 - -3))*-1. Suppose -s - 5*c = -30, -1 + w = 2*s - c. What is the second smallest value in h, -3/2, s? h Let z = 79 + -81. What is the second biggest value in 1, -3, z, 0.2? 0.2 Let p be 1 + (-14)/24*(-16)/(-12). What is the fourth smallest value in 0, -1, -4, p? p Let q be 6*((-4)/7)/((-18)/42). Suppose -5*k - 20 = -k. What is the biggest value in q, -0.3, k? q Let w = 27/4 - 193/28. Let j be -1 - (0 + -1 - 1). Suppose 2 = -2*x - 0*x. Which is the biggest value? (a) j (b) x (c) w a Let p = 4.09 + -0.09. Suppose g + 75 = 6*g. Let r = 33/2 - g. Which is the second biggest value? (a) 3 (b) p (c) r a Let h = 8.9 - 12. Let o = -0.9 + h. Let y be 1 + (-1)/(1/(-3)). Which is the smallest value? (a) o (b) -2/7 (c) y a Let r = 43319/78 + -8106/13. Let l = r - -68. Which is the biggest value? (a) 0 (b) l (c) -2/3 a Let l = -8.2 - -3.2. Let s = -3 + 2.9. What is the third biggest value in s, 0.4, l? l Let a = -24 + 34. Let h be (8/a)/(1/(-5)). What is the smallest value in h, 2, 0.5? h Let j = -0.35 + -0.05. Let z = -14543 + 218044/15. Let l = -19/3 - z. Which is the third smallest value? (a) 5 (b) j (c) l a Let o = -0.05 - 0.35. What is the third biggest value in 2/13, o, 0? o Let f = -118 - -113. Which is the smallest value? (a) 0.09 (b) f (c) 1 b Let r = 19 - 94/5. What is the third biggest value in 3, 4, r? r Suppose -4*l - 103 = -107. Which is the fourth smallest value? (a) 0.4 (b) l (c) -5 (d) 2/3 b Let f = 59 - 60. What is the second biggest value in -2, f, -1/2? f Let k(v) = -v**2 + 2. Let h be k(-2). Which is the smallest value? (a) -1/7 (b) 6 (c) h c Let l = -14 - -12. What is the third biggest value in l, -16, 3? -16 Let o = 507.03 - 510. Let r = o + -0.03. What is the smallest value in 2/9, r, -0.3? r Let m = 826 + -52039/63. Let w = 68/315 + m. Let d = -1/12 + -1/6. Which is the biggest value? (a) w (b) d (c) -3 a Suppose -10 = -5*w, 3*w = -4*r + 3*r + 1. Which is the third smallest value? (a) -0.2 (b) r (c) -2/5 (d) -2 c Let q = -18.9 - -18. Let j = -1 - q. Which is the second smallest value? (a) -4 (b) j (c) -1 c Let v = -0.76 - -0.06. Let p = -0.
{ "pile_set_name": "DM Mathematics" }
585. -3*(s - 9)*(s - 5)*(s + 71) Factor 2*a**5/9 + 4732*a**4/9 + 2794240*a**3/9 - 5607424*a**2/9. 2*a**2*(a - 2)*(a + 1184)**2/9 Suppose -2*p**2 + 101520*p - 1288288800 = 0. Calculate p. 25380 Suppose 675*i**5 - 630*i**4 - 1380*i**3 - 200*i**2 + 160*i = 0. What is i? -2/3, 0, 4/15, 2 Factor 3*f**2 + 29304*f + 175716. 3*(f + 6)*(f + 9762) Let a**2/2 + 42*a - 470 = 0. What is a? -94, 10 Determine p so that 35*p**3 - 1348280*p**2 + 385220*p = 0. 0, 2/7, 38522 Suppose 7*o**2 - 3247*o/2 - 116 = 0. Calculate o. -1/14, 232 Solve -3*i**5 + 191*i**4 - 3489*i**3 + 15661*i**2 - 23796*i + 9900 = 0. 2/3, 2, 3, 25, 33 Solve 10*a**3 + 455*a**2 - 5140*a + 4675 = 0 for a. -55, 1, 17/2 Find x, given that -5577*x**5 + 19812*x**4/5 + 58776*x**3/5 + 24384*x**2/5 + 3696*x/5 + 192/5 = 0. -4/5, -2/11, -2/13, 2 Suppose -5*o**3 + 440*o**2 - 9895*o + 9460 = 0. Calculate o. 1, 43, 44 Determine z, given that 2*z**3/9 - 680*z**2/9 - 94976*z/9 - 2834944/9 = 0. -56, 452 Solve -3*l**2 + 609*l + 3120 = 0. -5, 208 Solve 15*w**4 + 73510*w**3 - 834835*w**2 + 1006910*w - 245600 = 0. -4912, 1/3, 1, 10 Let 3*m**2 - 2910*m - 2913 = 0. What is m? -1, 971 Factor n**3/7 - 1790*n**2/7 - 8969*n/7 - 10770/7. (n - 1795)*(n + 2)*(n + 3)/7 Factor d**4/8 - 91*d**3/8 - 327*d**2 - 2070*d. d*(d - 115)*(d + 12)**2/8 Let 20*d**4 - 962*d**3 + 8002*d**2 + 7796*d + 1776 = 0. What is d? -1/2, -2/5, 12, 37 Factor -5*h**5 - 2730*h**4 - 8145*h**3. -5*h**3*(h + 3)*(h + 543) Suppose -51*a**5 + 1896*a**4 + 7716*a**3 + 11262*a**2 + 7215*a + 1722 = 0. What is a? -1, -14/17, 41 Let -1521*h**5 - 73164*h**4 - 781681*h**3 + 769122*h**2 + 85012*h + 2232 = 0. What is h? -31, -18, -2/39, 1 Let -i**5/3 - 97*i**4/3 - 436*i**3/3 + 2204*i**2/3 - 400*i/3 - 2944/3 = 0. Calculate i. -92, -8, -1, 2 Factor 24*h**2 + 5612*h + 252580. 4*(h + 173)*(6*h + 365) Factor 10059*b**2 - 80469*b/2 - 6. 3*(b - 4)*(6706*b + 1)/2 Solve -5*m**3 + 900*m**2 - 6835*m - 7740 = 0 for m. -1, 9, 172 Suppose -u**4/11 - 7800*u**3/11 - 23394*u**2/11 - 23392*u/11 - 7797/11 = 0. What is u? -7797, -1 Factor s**2 - 3765*s - 41536. (s - 3776)*(s + 11) Factor 2*i**2/9 - 1402*i/9 + 9716/9. 2*(i - 694)*(i - 7)/9 Let -625*j**5 - 286375*j**4 + 229950*j**3 + 206010*j**2 - 247725*j + 61965 = 0. Calculate j. -459, -1, 3/5 What is k in -775*k**5 - 3310*k**4 - 3325*k**3 + 2150*k**2 + 4100*k + 1160 = 0? -2, -58/31, -1, -2/5, 1 Solve -110*w**5/9 - 1424*w**4/9 - 2284*w**3/3 - 1608*w**2 - 1230*w + 72 = 0. -4, -3, 3/55 Find s, given that s**4/6 - 7*s**3/3 + 8*s**2 - 3*s - 27/2 = 0. -1, 3, 9 Find b, given that -124*b**2 + 643676*b + 41528 = 0. -2/31, 5191 Suppose -35*i**3 + 87485*i**2 + 37520*i - 50000 = 0. Calculate i. -1, 4/7, 2500 Factor 2*y**2/5 + 246644*y/5 - 246646/5. 2*(y - 1)*(y + 123323)/5 Factor 4*x**4 - 10116*x**3 + 190760*x**2. 4*x**2*(x - 2510)*(x - 19) Factor 3*g**2 + 4068*g. 3*g*(g + 1356) Factor 5*d**2 - 640435*d - 1280890. 5*(d - 128089)*(d + 2) Suppose 5*k**5 + 15870*k**4 - 143120*k**3 + 365970*k**2 - 238725*k = 0. What is k? -3183, 0, 1, 3, 5 Determine j so that j**3 + 2151*j**2 + 100944*j = 0. -2103, -48, 0 Solve q**2/5 + 5462*q/5 - 5463/5 = 0. -5463, 1 Suppose h**5/9 - 1036*h**4/9 - 10424*h**3/9 - 37600*h**2/9 - 58544*h/9 - 33472/9 = 0. Calculate h. -4, -2, 1046 Let 4*y**2/5 + 12*y/5 = 0. Calculate y. -3, 0 Solve -75*d**5 + 3585*d**4 - 6132*d**3 - 3696*d**2 + 4992*d - 1104 = 0. -1, 2/5, 2, 46 Find u such that -u**2/5 + 118*u/5 + 6923/5 = 0. -43, 161 Factor z**2 + 24221*z + 24220. (z + 1)*(z + 24220) Suppose 344*w**3/5 + 6188*w**2/5 - 72*w/5 = 0. What is w? -18, 0, 1/86 Determine x, given that 14*x**3 + 42332*x**2 + 30226*x - 12092 = 0. -3023, -1, 2/7 Let 2*s**3/7 + 142*s**2/7 - 19468*s/7 + 38352/7 = 0. What is s? -141, 2, 68 Factor -5*z**2 + 3523880*z - 620886512720. -5*(z - 352388)**2 Factor 3*f**3/4 + 6336*f**2 + 53501175*f/4 - 53551875/2. 3*(f - 2)*(f + 4225)**2/4 Let 2*d**5/5 + 2*d**4 - 134*d**3/5 + 374*d**2/5 - 396*d/5 + 144/5 = 0. What is d? -12, 1, 2, 3 Factor -2*v**2 + 60272*v. -2*v*(v - 30136) Suppose -w**4 - 864*w**3 + 11391*w**2 - 8794*w - 21048 = 0. Calculate w. -877, -1, 2, 12 Determine g, given that -g**2/3 + 4357*g/3 + 122780/3 = 0. -28, 4385 Solve 2148*m**4 - 23632*m**3 - 2104*m**2 + 23632*m - 44 = 0. -1, 1/537, 1, 11 Solve -y**4/2 - 1193*y**3/2 - 4759*y**2/2 - 3567*y/2 = 0 for y. -1189, -3, -1, 0 Find f such that -4*f**4 - 47512*f**3 - 141086884*f**2 = 0. -5939, 0 Factor -3*c**4 + 351*c**3 - 8808*c**2 + 16236*c. -3*c*(c - 82)*(c - 33)*(c - 2) Suppose s**5/2 + 3873*s**4/2 - 46803*s**3 - 152023*s**2 - 311787*s/2 - 105219/2 = 0. Calculate s. -3897, -1, 27 What is a in -58*a**4/11 + 472*a**3/11 - 1224*a**2/11 + 1088*a/11 - 128/11 = 0? 4/29, 2, 4 Determine t so that -2*t**5/7 - 28*t**4 - 760*t**3/7 - 752*t**2/7 = 0. -94, -2, 0 Factor -2*x**3/5 + 4432*x**2/5 - 2455328*x/5. -2*x*(x - 1108)**2/5 Suppose 7*q**3/4 + 605*q**2/2 - 3679*q/4 + 1231/2 = 0. What is q? -1231/7, 1, 2 Factor -i**3/3 - 5171*i**2/3 - 2227408*i + 2229132. -(i - 1)*(i + 2586)**2/3 Suppose 3*k**5/2 - 69*k**4 + 198*k**3 + 27588*k**2 - 319440*k = 0. What is k? -20, 0, 22 Factor g**4/2 - 36*g**3 + 389*g**2/2 + 231*g. g*(g - 66)*(g - 7)*(g + 1)/2 Find a, given that -12*a**4 + 53140*a**3 - 58626232*a**2 - 452347792*a - 275493344 = 0. -7, -2/3, 2218 Suppose -b**4/2 + 15898*b**3 - 252778197*b**2/2 + 252714609*b = 0. Calculate b. 0, 2, 15897 Find s, given that -3*s**2/5 - 2556*s - 12777/5 = 0. -4259, -1 Factor 83205*w**5 + 111585*w**4 + 30800*w**3 + 2420*w**2. 5*w**2*(w + 1)*(129*w + 22)**2 Factor -2*j**4 + 250*j**3 + 514*j**2 - 762*j. -2*j*(j - 127)*(j - 1)*(j + 3) Let -a**4/3 - 181*a**3/3 - 1858*a**2 - 20156*a/3 - 19448/3 = 0. Calculate a. -143, -34, -2 Factor -2*l**2/15 + 556*l/15 + 6386/5. -2*(l - 309)*(l + 31)/15 Let -3*y**4 - 5862*y**3 - 92721*y**2 + 586962*y - 488376 = 0. What is y? -1938, -21, 1, 4 What is j in 2*j**4 - 1782*j**3 + 19440*j**2 - 70496*j + 84480 = 0? 3, 4, 880 Find b, given that b**2/5 - 12002*b + 120016/5 = 0. 2, 60008 Factor 40*m**3 + 12878*m**2 - 39644*m + 1950. 2*(m - 3)*(m + 325)*(20*m - 1) What is x in -9*x**5 - 264*x**4 - 2013*x**3 - 4746*x**2 - 1368*x = 0? -19, -6, -4, -1/3, 0 Suppose -u**2 + 516*u - 2048 = 0. Calculate u. 4, 512 Determine p, given that -7*p**3/4 + 6059*p**2 - 1731*p = 0. 0, 2/7, 3462 Factor -z**4/2 - 8361*z**3/2 - 11655231*z**2 - 10847109910*z - 32436545484. -(z + 3)*(z + 2786)**3/2 Let -2*d**5/21 + 142*d**4/21 - 466*d**3/3 + 23042*d**2/21 + 8816*d/7 = 0. Calculate d. -1, 0, 19, 24, 29 Determine p, given that -6*p**4/7 - 2088*p**3/7 - 154872*p**2/7 + 4660416*p/7 - 29890944/7 = 0. -186, 12 Let -2*o**4/15 - 46*o**3/15 + 446*o**2/5 - 5834*o/15 - 7216/15 = 0. Calculate o. -41, -1, 8, 11 Factor -3*s**2 - 45*s + 105300. -3*(s - 180)*(s + 195) What is m in -m**3 - 4313*m**2/3 - 49910*m/3 = 0? -1426, -35/3, 0 Suppose 4*o**2 + 332688*o + 6917581584 = 0. What is o? -41586 Factor -3*g**2 + 16014*g - 32016. -3*(g - 5336)*(g - 2) Factor 2*b**3 + 3932*b**2 + 11782*b + 7852. 2*(b + 1)*(b + 2)*(b + 1963) What is i in -i**3/9 - 10*i**2/3 + 187*i/9 + 1612/3 = 0? -31, -12, 13 Factor 2*d**2 - 122640*d + 245272. 2*(d - 61318)*(d - 2) Solve y**2/3 - 386*y/3 - 5600/3 = 0. -14, 400 Suppose 3*t**4 + 8586*t**3 - 603045*t**2 + 10759164*t - 10164708 = 0. Calculate t. -2931, 1, 34 Suppose -4*f**2/17 + 590*f/17 + 2114/17 = 0. Calculate f. -7/2, 151 Find j such that 6*j**5/5 - 84*j**4/5 + 174*j**3/5 + 264*j**2/5 = 0. -1, 0, 4, 11 Let 4*v**2/3 - 668432*v/3 - 1336880/3 = 0. Calculate v. -2, 167110 Factor 4*y**3 - 1496*y**2 + 29732*y - 28240. 4*(y - 353)*(y - 20)*(y - 1) Determine p, given that 4*p**3 + 200692*p**2 = 0. -50173, 0 Factor s**2/3 - 863*s/3 + 3404. (s - 851)*(s - 12)/3 Let k**4/4 - 5*k**3/2 - 1093*k**2/4 + 551*k/2 = 0. Calculate k. -29, 0, 1, 38 Factor 2*b**3/3 + 88*b**2/3 - 128*b/3 - 5632/3. 2*(b - 8)*(b + 8)*(b + 44)/3 Determine k, given that 2*k**4/3 + 39208*k**3/9 - 13076*k**2/9 - 39208*k/9 + 13070/9 = 0. -6535, -1, 1/3, 1 Factor 2*r**2/3 + 3776*r + 213066. 2*(r + 57)*(r + 5607)/3 Let 2*f**3/7 + 376*f**2/7 + 22650*f/7 + 427500/7 = 0. Calculate f. -75, -38 Factor -5*s**3 - 16135*s**2 + 64600*s - 64620. -5*(s - 2)**2*(s + 3231) Factor 4*s**5 - 1472*s**4 + 181524*s**3 - 7616216*s**2 + 13990960*s + 21790176. 4*(s - 122)**3*(s - 3)*(s + 1) Let 2*t**5/
{ "pile_set_name": "DM Mathematics" }
vided by q? 45 Let q(k) = 2*k + 6. Let a be q(-8). What is the remainder when 53 is divided by (-40)/16*56/a? 11 Let l = 3 + 5. Let t = 12 - l. Suppose 0*x = -t*x + 68. What is the remainder when x is divided by 6? 5 Let c(h) = 7 - 11 + 0 - 12 + 6*h. What is the remainder when c(7) is divided by 7? 5 Let t = 15 + 4. Suppose -t = -5*x + 6. Suppose 2*w + 57 = x*w. What is the remainder when 55 is divided by w? 17 Suppose 4 = 2*s + 5*w - 43, -4*w + 4 = 0. Suppose -4*k + 3*k = -s. Calculate the remainder when 61 is divided by k. 19 Let c = 38 - 23. Suppose 0 = 4*k + 5*a - 13, a = -2*a + c. What is the remainder when (-2)/(-3) - 10/k is divided by 2? 0 Suppose 0 = y - 4*y. Suppose y = -v + 2 - 0. Suppose -3*g + 16 = -v. What is the remainder when 9 is divided by g? 3 Let u(h) = h**3 - 2*h + 11. What is the remainder when 32 is divided by u(0)? 10 Let p = 5 - 3. Suppose 4 = p*r - 0. Let q(s) = -5*s - 6. What is the remainder when q(-2) is divided by r? 0 Suppose 0 = -4*x + k + 4*k + 29, k + 1 = 0. Let o = 87 - 66. Calculate the remainder when o is divided by x. 3 Let g = -17 + 28. Let l = 4 + g. What is the remainder when l is divided by 4? 3 Suppose -16 = f - 5*f. Let s = f - -4. Calculate the remainder when 30 is divided by s. 6 Suppose 2*k = k - 46. Let u = -16 + 40. What is the remainder when (-6 - -3)/(3/k) is divided by u? 22 Suppose -174 - 558 = -12*v. What is the remainder when v is divided by 7? 5 Let p = 7 + -5. Let d = 5 - 3. What is the remainder when d is divided by p? 0 Suppose -4*g = -7*g + 240. What is the remainder when g is divided by 27? 26 Let q(a) = -a**2 - 13*a - 13. What is the remainder when 66 is divided by q(-10)? 15 Suppose -2*f = -f - 12. Suppose -5*y + 18 = -f. Calculate the remainder when 2/(4/y) + -1 is divided by 2. 0 Let m(x) = x + 2. Let p be m(-2). Suppose p + 3 = -f. What is the remainder when 57*f/9*-2 is divided by 13? 12 Suppose -2*k = d - 29, k - 4*d = -3*k + 64. Calculate the remainder when 29 is divided by k. 14 Let r = 56 + -27. Calculate the remainder when r is divided by 10. 9 Let v(p) = -8*p**3 + 11*p**2 - 6*p - 23. Let d(b) = 3*b**3 - 4*b**2 + 2*b + 8. Let x(f) = -17*d(f) - 6*v(f). What is the remainder when x(-2) is divided by 16? 14 Suppose -2*u + 3*y - 81 = -5*u, 0 = -5*u + 2*y + 128. Calculate the remainder when 75 is divided by u. 23 Let o(k) = -k**2 + 18*k - 19. Let g(h) = h**2 - h - 5. Calculate the remainder when g(-6) is divided by o(16). 11 Suppose -3*d = -4*y - 26, 0 = 3*d + 4*y + 23 - 9. Suppose 88 = -d*k + 6*k. Suppose 3*i - k = 8. What is the remainder when 19 is divided by i? 9 Let z = 51 - 33. Calculate the remainder when 20 is divided by z. 2 Let z(y) = 2*y + 1. Let n be z(-1). Let b(x) = 43*x**3 + x. Let m be b(n). Let a = 18 - m. Calculate the remainder when a is divided by 21. 20 Let g(i) = -i**2 - 6*i + 8. Let v be g(-7). Calculate the remainder when -111*(v - (-8)/(-6)) is divided by 13. 11 Let h(z) = -z**3 + 0*z**3 + 6*z**2 - 2 + 0 - 2*z + 2*z**3. What is the remainder when 28 is divided by h(-6)? 8 Suppose -n + 0*x = -4*x, 0 = 5*n - x - 19. Suppose -n*g + 5 = g. Let u = g + 4. What is the remainder when u is divided by 2? 1 Let n be (28/4)/((-1)/(-6)). Suppose 2*j + j - n = 0. Suppose r - 82 = -r. Calculate the remainder when r is divided by j. 13 Let s(f) = f. Let g be s(5). Suppose 3*d = g*r + 32, -3*r = -2*d - d + 36. Calculate the remainder when 40 is divided by d. 12 Let y = 27 + -5. Let j be 4/6 + (-424)/(-12). What is the remainder when y is divided by (2/(-3))/((-3)/j)? 6 Let m(j) = -12*j**2 - j + 3. Let n(b) = 48*b**2 + 4*b - 13. Let w(s) = -9*m(s) - 2*n(s). What is the remainder when w(1) is divided by 4? 0 What is the remainder when (312/18)/((-4)/(-6)) is divided by 16? 10 Let v = -14 + 34. Calculate the remainder when 37 is divided by v. 17 Suppose -5*r + 4*d + 44 = 0, -2*d - 29 = -4*r - 5*d. What is the remainder when 38 is divided by r? 6 Suppose 129 - 45 = 7*t. What is the remainder when 83 is divided by t? 11 Suppose 34 = 2*a - 0*a. Let f(b) = -b. What is the remainder when a is divided by f(-5)? 2 Let z(f) = -4*f + 1. What is the remainder when z(-2) is divided by 5? 4 Let z = -94 + 158. Let s(v) = -v**2 - 5*v + 6. Let b be s(-6). Suppose 3*t + 3*q - q - 74 = b, 4*t = q + 84. Calculate the remainder when z is divided by t. 20 Suppose 4*f = -0*f. Suppose 5*o + p - 58 = f, -4*o - p + 50 = -2*p. Calculate the remainder when 46 is divided by o. 10 Let r be -1*0/(3/(-3)). Let g be ((-2)/6 + r)*-3. Suppose -5*i = -4*i - 4*t + g, -4*i + 48 = -3*t. Calculate the remainder when 43 is divided by i. 13 Let h(j) = j**2 + 3*j + 9. Let n(a) = a**3 - 6*a**2 + 5*a - 13. Calculate the remainder when h(-8) is divided by n(6). 15 Let a(k) = k. Let n(d) = -5. Let s(o) = -2*a(o) + n(o). Let q be s(-5). Suppose -q*v + 155 = -0*v. Calculate the remainder when v is divided by 11. 9 Suppose y + 2 = 17. Suppose -3*h + y = -0*h. Suppose 3*n = 5*g + 4*n - 65, 0 = n - h. Calculate the remainder when 22 is divided by g. 10 Suppose 3*i - 3*f + 25 = -2*f, -4*f = -4*i - 44. Suppose 4*p = 5*n - 106, -2*p + 85 = 4*n - 5*p. Let x = i + n. Calculate the remainder when x is divided by 9. 6 Let y(w) = -6*w + 2. Let f be y(4). Calculate the remainder when (3 - 2)/((-2)/f) is divided by 6. 5 Suppose -j = -0*j - 3. Suppose -j*b - 2*b + h + 6 = 0, -3*b - 2*h = -14. Suppose -b*k - 2*k = -168. What is the remainder when k is divided by 11? 9 Suppose -g + v + 2*v = -86, -5*v + 327 = 4*g. Calculate the remainder when g is divided by 17. 15 Suppose 3*a - 42 = -0*a. Calculate the remainder when 27 is divided by a. 13 Suppose 2*g - 466 = -3*q, g + 4*q - 5*q - 233 = 0. What is the remainder when g is divided by 13? 12 Let g(z) = -z**3 + 4*z**2 - z + 2. Let o be g(4). Let b be (-2 - -4 - 1)*-8. Calculate the remainder when 20 is divided by 29/4 - o/b. 6 Suppose 0 = 4*h + h - 15. Suppose h*k + 2 - 11 = 0. Calculate the remainder when 11 is divided by k. 2 What is the remainder when (-311)/(-5) + (-9)/45 is divided by 22? 18 Suppose -3*n + 32 = 5*m, -20 = -m - 6*n + 2*n. Suppose -m*q = -f + 7, f + q = -2*q + 21. Calculate the remainder when f is divided by 6. 3 Suppose -c + 84 = c. Let g = -71 + c. Calculate the remainder when g/(-2)*(-8 - -10) is divided by 10. 9 Calculate the remainder when 1023/22 - 2/(-4) is divided by 12. 11 Suppose -5*y = -4*y - 28. Suppose 0 = -3*l + 37 - 7. What is the remainder when y is divided by l? 8 Let g(z) = -z + 35. Calculate the remainder when g(0) is divided by 19. 16 Let k(y) = 2*y + 2 - 2 + 3*y - 1. Let c be k(-2). What is the remainder when 65 is divided by (-240)/c - (-4)/22? 21 What is the remainder when 23 is divided by -2*(-51)/(-6)*-1? 6 What is the remainder when 22/4*(-7)/(21/(-18)) is divided by 11? 0 Suppose 3*i - 6 = i. Suppose 0 = -l + i*f + 34, -3*f = -7*l + 3*l + 145. What is the remainder when l is divided by 13? 11 Let k(y) = -7*y. What is the remainder when 25 is divided by k(-1)? 4 Let a = 304 - 141. What is the remainder when a is divided by 33? 31 Let v(o) = o**2 + 4*o + 6. Calculate the remainder when 35 is divided by v(-4). 5 Let q(m) = 6*m - 1. Let p be q(5). Let r = 6 + p. Suppose 0 = 4*z + z + 25, -34 = -2*i + 2*z. What is the remainder when r is divided by i? 11 Let n(v) = 6*v - 49. What is the remainder when n(11) is divided by 6? 5 Let t = 23 - 8. Calculate the remainder when 44 is divided by t. 14 What is the remainder when 18 is divided by 1/5 + (-24)/(-5)? 3 Let u be (4/(-5))/(1/10). Let d be 12/u*(3 + -1). Let k = 7 + d. What is the remainder when k is divided by 3? 1 Let l(q) = 3*q - 7. Calculate the remainder when l(8) is divided by 7. 3 Let c(v) = 33*v**3 + v**2 + v. Let b be c(-1). Let g = 59 + b. Calculate the remainder when g is divided by 8 + (1/(-1) - -2). 8 Suppose -2*t = -7*t + 10, 5*t = 2*i - 30. Suppose 4*h - 18 = 2. Suppose -d - 223 = -5*d + 3*n, 5*d - 305 = -h*n. Calculate the remainder when d is divided by i. 18 Let f be 18/15*(-30)/(-9). Suppose 0 = 3*c - f*w - 185, 3*c + w = -0*w + 160. Suppose k = -4*k + c. Calculate the remainder when 41 is divided by k. 8 Calculate the remainder when (-250)/(-4) + (1 - -1)/(-4) is divided by 16. 14 Suppose -4*k + 20 + 4 = 0. Let d = -2 - -13. What is the remainder when d is divided by k? 5
{ "pile_set_name": "DM Mathematics" }
0*x**2 + 1/16*x**4 + 13*x - 9/160*x**5 + 1/80*x**6 + 0*x**3 + 0. Factor r(z). 3*z**2*(z - 2)*(z - 1)/8 Let y(p) = -p**5 + p**4 - 2*p**2 - 1. Let w(x) = x**5 - 9*x**4 + 2*x**3 + 20*x**2 - 5. Let l(q) = -2*w(q) - 6*y(q). Find z such that l(z) = 0. -2, -1, 1 Let p = 608/13 + -2962/65. Factor 1/5*d**5 + 4/5*d**2 + 4/5*d**4 + p*d**3 + 1/5*d + 0. d*(d + 1)**4/5 Let a(q) be the first derivative of 4*q**5/5 - q**4 - 12*q**3 + 18*q**2 - 350. Determine s, given that a(s) = 0. -3, 0, 1, 3 Let m(q) be the first derivative of q**8/3360 - q**7/560 + q**6/240 - q**5/240 - 25*q**3/3 + 11. Let n(f) be the third derivative of m(f). Solve n(z) = 0 for z. 0, 1 Let g be ((-2)/8)/(3/(-372)). Suppose -14*q + g = 3. Determine m, given that 27/4 + 3/4*m**q - 9/2*m = 0. 3 Let n be 0 - 3*((-16)/12)/2. What is w in n*w**2 + 0*w**3 - 15*w**2 + 4*w**2 + 3*w**3 = 0? 0, 3 Factor 0 + 2/5*o**2 + 284/5*o. 2*o*(o + 142)/5 Let q = 2316/11 - 9099/44. Suppose 0 = -g + 2*d - 7, 4*d - 7 = 5*g - 2. Solve -3/4*j**5 - 3/4*j**4 + g + q*j**3 - 6*j + 3/4*j**2 = 0. -2, 1 Let i(c) be the first derivative of 5*c**9/2016 - 3*c**8/1120 - c**7/280 - 20*c**3/3 + 10. Let l(q) be the third derivative of i(q). Factor l(a). 3*a**3*(a - 1)*(5*a + 2)/2 Let w be 10/3 - (6/9)/2. Factor 0 - 7/4*q**2 - 1/2*q - 3/4*q**w. -q*(q + 2)*(3*q + 1)/4 Let d(c) = -c**4 + 2*c**2 + 1. Let k(z) = 60*z**3 - 10*z**2 - 53*z**4 + 15*z**5 + 58 - 4*z**2 + 5*z - 55 - 10*z**2. Let a(t) = 3*d(t) - k(t). Factor a(i). -5*i*(i - 1)**3*(3*i - 1) Let m(q) be the third derivative of 0*q**3 + 1/40*q**6 - 13*q**2 + 0*q**4 + 0*q + 1/112*q**8 + 0*q**5 - 1/35*q**7 + 0. Find r such that m(r) = 0. 0, 1 Let p(w) be the first derivative of -w**6/10 - 9*w**5/25 + 9*w**4/20 + 11*w**3/5 + 9*w**2/5 + 405. Let p(i) = 0. What is i? -3, -1, 0, 2 Let j(b) = 0 + b**2 + 1 + 3*b**2 + 0. Let l be j(1). Let 2*n**3 + 2*n + 0*n**3 + 10*n**4 - 3*n**l - 8*n**3 - n**5 - 2*n**2 = 0. Calculate n. -1/2, 0, 1 What is c in -2*c**2 - 2*c**2 + 2*c**2 - 50 + 45*c - 12 + 19*c = 0? 1, 31 Let q(c) = 582*c**3 + 41462*c**2 - 84680*c + 42634. Let p(s) = -s**4 + 583*s**3 + 41460*s**2 - 84680*s + 42635. Let j(r) = -4*p(r) + 6*q(r). Solve j(l) = 0. -146, 1 Let d(i) = -38*i**2 + 151*i + 6. Let k be d(4). Factor 0*s**k + 0*s**4 + 0*s - 1/4*s**3 + 0 + 1/4*s**5. s**3*(s - 1)*(s + 1)/4 Let t(v) = -10*v**2 + v + 31. Let h(n) be the first derivative of 5*n**3/3 - n**2/2 - 16*n - 5. Let g(y) = 11*h(y) + 6*t(y). Suppose g(a) = 0. Calculate a. -2, 1 Let z(u) be the second derivative of u**5/80 + 3*u**4/8 + 9*u**3/2 + 23*u**2/2 - 23*u. Let k(r) be the first derivative of z(r). Suppose k(p) = 0. Calculate p. -6 Suppose -129 = -4*o + j, -126 + 6 = -4*o + 4*j. Let i = -29 + o. Determine n so that -8*n + 19*n - 3*n - 4*n**2 - i = 0. 1 Let b(q) be the first derivative of 2*q**5/55 - 2*q**4/11 + 2*q**3/33 + 6*q**2/11 - 106. Solve b(m) = 0 for m. -1, 0, 2, 3 Let c(p) be the second derivative of -p**4/18 + 500*p**3/9 - 62500*p**2/3 + 437*p. Factor c(j). -2*(j - 250)**2/3 Let b(a) be the second derivative of -a**6/660 + a**5/110 - a**4/66 + 5*a**2/2 - 9*a. Let q(i) be the first derivative of b(i). Factor q(o). -2*o*(o - 2)*(o - 1)/11 Let k = 103/220 - 12/55. Factor 1/4 - k*t**2 + 0*t. -(t - 1)*(t + 1)/4 Let h(n) = 2 - 4*n - 5*n + 4*n + n**2 + 4*n**3 - 3*n**3. Let q be h(2). Suppose 217*a**3 - 25*a**3 + 64 + 36*a**q + 352*a**2 + 314*a - 58*a = 0. What is a? -2, -2/3 Let h(l) = -2*l**2 + 35*l - 144. Let d be h(7). Let u(k) be the first derivative of 0*k + 0*k**4 - 1/6*k**6 + 1 + 0*k**d + 0*k**2 + 1/5*k**5. Factor u(c). -c**4*(c - 1) Let i(d) be the first derivative of d**3/21 + 9*d**2/7 + 72*d/7 + 807. Factor i(g). (g + 6)*(g + 12)/7 What is x in 4/5*x**3 - 9/5*x**2 + x + 0 = 0? 0, 1, 5/4 Determine h, given that -21*h**3 + 9*h - 3*h**3 + 30 + 0*h**3 + 32*h**3 - 18*h**2 - 5*h**3 = 0. -1, 2, 5 Suppose -71 - 224 = -59*g. Determine o so that 1/4*o + 0 + 1/2*o**4 + 0*o**3 - 1/4*o**g - 1/2*o**2 = 0. -1, 0, 1 Let d(c) be the second derivative of -3*c**5/80 - 3*c**4/8 + 25*c**3/8 - 27*c**2/4 - 336*c. Solve d(g) = 0 for g. -9, 1, 2 Let b(z) = z**3 + 27*z**2 - 27*z + 30. Let i be b(-28). Let -14*d**i - 6 + 25*d - 28*d**2 + 51*d**2 = 0. Calculate d. -3, 2/9 Let g(d) be the third derivative of -d**7/945 - d**6/135 - 2*d**5/135 - 14*d**2. What is z in g(z) = 0? -2, 0 Let -1/6*j**2 - 2/3*j - 2/3 = 0. Calculate j. -2 Solve -40/3*y**3 + 16/3*y - 16/3 + 28/3*y**2 + 4*y**4 = 0. -2/3, 1, 2 Let k(d) be the third derivative of 3/40*d**6 + d**3 - 3/8*d**4 + 0 - 29*d**2 + 0*d - 1/10*d**5. Find b, given that k(b) = 0. -1, 2/3, 1 Suppose 4*r + 8*p - 9*p + 20 = 0, 5*p - 12 = -2*r. Let l(v) = -v - 3. Let b be l(r). Find n, given that 1/2*n**2 + 1/2*n**4 + 3/2*n - b - 3/2*n**3 = 0. -1, 1, 2 Let z(c) be the third derivative of c**7/210 - c**6/45 - c**5/30 + c**4/3 - 5*c**3/6 - 2*c**2. Let k(b) be the first derivative of z(b). Factor k(n). 4*(n - 2)*(n - 1)*(n + 1) Let w = -10 + 11. Suppose 8 = o - 5*j - w, j + 9 = o. Factor o - l**3 - 9 - l**2 + 2*l. -l*(l - 1)*(l + 2) Let f(g) be the third derivative of g**5/15 - 5*g**4/2 - 152*g**3/3 + 637*g**2. Factor f(a). 4*(a - 19)*(a + 4) Let y(p) be the first derivative of 0*p - 4/9*p**3 + 4/45*p**5 + 0*p**4 - 40 - 4/9*p**2. Let y(r) = 0. What is r? -1, 0, 2 Let g be (2/7)/((-1)/(-14)). Suppose 7 - 23 = -g*d. Suppose 3*a**2 + 0*a**5 - 6*a**2 + 2*a**d + a - a**5 + a**2 = 0. What is a? -1, 0, 1 Let r(s) = -s**5 - s**4 - 1. Let u(m) = 901*m**5 + 3361*m**4 + 2656*m**3 - 896*m**2 + 64*m + 1. Let l(x) = -r(x) - u(x). Find p such that l(p) = 0. -2, 0, 2/15 Let y(l) be the first derivative of -l**5/80 + l**4/16 - l**3/12 - 8*l - 10. Let x(v) be the first derivative of y(v). Suppose x(h) = 0. What is h? 0, 1, 2 Let v be (-14)/(924/55)*9*4/(-6). Factor 0*r**2 + 4*r**4 + 12/5*r**3 + 0 + 0*r - 8/5*r**v. -4*r**3*(r - 3)*(2*r + 1)/5 Let g(h) be the first derivative of -35 + 2/19*h + 2/19*h**2 + 2/57*h**3. Find y, given that g(y) = 0. -1 Let r be 154/10 + (-2)/5. Suppose -5*o - r = -60. Let 10 + 11 + 3*c**2 - o - 12*c = 0. What is c? 2 Let s = -352 - -357. Let o(w) be the first derivative of -15/4*w**4 - 5 + 0*w - 9/5*w**s - 1/2*w**2 - 7/3*w**3. Find i such that o(i) = 0. -1, -1/3, 0 Let p(v) be the first derivative of 2*v**4 - 2/5*v**5 - 10/3*v**3 + 2*v**2 + 0*v + 21. Factor p(f). -2*f*(f - 2)*(f - 1)**2 Solve 56/5*r**2 - 8/5*r + 0 - 56/5*r**4 + 98/5*r**5 - 18*r**3 = 0 for r. -1, 0, 2/7, 1 Suppose m - 131*d - 5 = -127*d, 0 = -2*m + d + 17. Factor 12 - m*p + 3/2*p**2. 3*(p - 4)*(p - 2)/2 Factor 201/5*l**2 - 3468/5 - 3/5*l**3 - 3264/5*l. -3*(l - 34)**2*(l + 1)/5 Let j = -510 - -25501/50. Let w(b) be the third derivative of 1/300*b**6 - j*b**5 - 4*b**2 + 0*b**4 + 0 + 0*b + 0*b**3. Factor w(i). 2*i**2*(i - 3)/5 Let q = 574 + -571. Find w such that -q - 33/2*w**3 - 45/2*w - 36*w**2 = 0. -1, -2/11 Let p(b) be the third derivative of -b**6/270 + 26*b**5/135 - 101*b**4/216 + 25*b**3/54 - 77*b**2. Factor p(v). -(v - 25)*(2*v - 1)**2/9 Let h(c) be the first derivative of 3*c**5/5 - 3*c**4 - 2*c**3 + 18*c**2 + 27*c - 15. What is y in h(y) = 0? -1, 3 Let x be 134 - (2/11 + (-3)/(-44)). Let y = x - 133. Factor y*u - 3/4*u**3 - 3/4 + 3/4*u**2. -3*(u - 1)**2*(u + 1)/4 Let u(o) be the third derivative of 1/90*o**5 + 0*o + o**2 - 4 - 14/9*o**3 - 13/36*o**4. Factor u(b). 2*(b - 14)*(b + 1)/3 Factor 5 + 2 - 14*k**2 - 2*k + 2*k**3 + 6 + 7 - 6. 2*(k - 7)*(k - 1)*(k + 1) Let z(g) = g**2 - 13*g + 24. Let m be z(11). Let l(y) be the first derivative of 0*y - 3 + y**3 - 3/5*y**5 + 3/2*y**m - 3/4*y**4. Solve l(a) = 0 for a. -1, 0, 1 Suppose z + 2*x = 5*z - 8, 0 = -x. Let k be ((-1)/6)/((-3)/(-1755)*-13) + -7. Factor k - 1/2*o**z + 0*o. -(o - 1)*(o + 1)/2 Let o(j) be the second derivative of 4*j**6/15 + j**5/2 - j**3 - 3*j**2 + 11*j. Let y(m) = m**4 + m**3 - m - 1. Let s(l) = -o(l) + 6*y(l). Factor s(x). -2*x**3*(x + 2) Let c(v) be the second derivative of -v**7/14 - 43*v**6/30 - 67*v**5/15 - 49*v**4/9 - 8*v**3/3 - 2*v - 55. Determine q so that c(q) = 0. -12, -1, -2/3, 0 Let u = 2523 + -2519. Suppose 0 - 16/3*s - 14/3*s**u - 40/3*s**2 - 2/3*s**5 - 12*s**3 = 0. Calculate s. -2, -1, 0 Let h(a) = -15*a**4 - 25*a**3 - 75*a**2 - 16*a. Let u(i) = 7*i**4 + 13*i**3 + 35*i**2 + 8*i. Let k(x) = 3*h(x) + 7*u(x). Factor k(p). 4*p*(p
{ "pile_set_name": "DM Mathematics" }
= 20.5 + c. Let f = -2 + 0.8. What is the closest to f in -5, h, -1/10? h Let n = 120 - 120.2. Let t = 198 + -202. Which is the nearest to -1? (a) -3 (b) n (c) t b Let q = -4748 - -4736. Let a = -0.018 - 0.082. What is the nearest to q in -0.2, 1, a, 8/7? -0.2 Let k = 765.23 + -765.2. Which is the closest to -1/7? (a) -0.1 (b) -1/31 (c) k a Let u = -36936 + 36937.1. Let w = -133/9 + 15. What is the nearest to u in w, 0.2, 1? 1 Let w = 4/51 + -7/17. Let y = -414 - -416. Which is the closest to w? (a) y (b) -1/5 (c) 5 b Let z = -4.6 - -9.5. Let f = -4.81 + z. Which is the closest to 0.1? (a) 0.2 (b) 1 (c) f c Let o be (-840)/200 - (1 + -4). Which is the nearest to 3? (a) -0.8 (b) -4 (c) o a Let t = 3 - -8. Let b = -15 + t. Let z = 28 + -30. What is the nearest to 1 in z, -0.4, b? -0.4 Let k = -27 - -134/5. Let i = -29.644 - -24.644. What is the closest to -2 in i, k, -1? -1 Let g = -1254 - -871. Let h = g - -383.5. Which is the closest to -0.1? (a) h (b) -5 (c) 1 (d) -0.3 d Let w be ((-13)/312)/((-2)/(-18)). Let v = -2.44 - -2.36. What is the nearest to -0.3 in v, w, 0.4? w Let v be 1/(1/2) - (-171768)/(-357). Let s = 479 + v. Which is the nearest to -1? (a) -0.4 (b) 1/3 (c) s (d) -1 d Let s = -3.5243 - -0.0543. Let k = -3.47 - s. Which is the closest to 84? (a) -4 (b) k (c) 4 c Let h = -25.617 + -1.383. Which is the closest to h? (a) -5 (b) 0.03 (c) 0.06 a Let b = -0.10124 - 1330.59876. Let h = 1331 + b. Let x = -12 - -7. What is the closest to 1 in x, h, -1/5? h Let q = -2836 - -2832. Which is the closest to 1/21? (a) q (b) -2.2 (c) 0.3 c Let x = 382 - 384.34. Let u = x - -2.84. Which is the closest to -1/5? (a) -4/3 (b) u (c) 0.8 b Suppose -1767 = 102*p - 9*p. What is the nearest to -4 in 1/5, 5, p? 1/5 Let h = -665.8 + 36.8. Let w = 629.1 + h. Let u = -0.02 - 0.28. Which is the closest to 0.1? (a) w (b) u (c) 5 a Let w = 0.01 - -261.99. Let n = w - 261. What is the nearest to 0.1 in n, -0.24, -1/3? -0.24 Let d = 1080 + -1081. What is the closest to d in 0, 1/2, 19? 0 Let h be 36/(-104) + 14/(-91). Which is the closest to h? (a) -1/26 (b) -4 (c) 152 a Let c = -18.891 - -19.091. What is the closest to 1/22 in -1/4, 2/5, 0.12, c? 0.12 Let y = -0.77 - 3.93. Let m = y - -4.8. Let d = -9 - -14. What is the nearest to m in d, -3, -0.3? -0.3 Let u = -96 + 94.72. Let f = u + -79.82. Let v = 81 + f. Which is the closest to 2/9? (a) -2/19 (b) -5 (c) v c Suppose -n = -3*i - 66, 278 = 4*n + i - 6*i. Let b be (5/(-6))/((-240)/n). What is the nearest to b in -0.15, 3/2, 0.4? 0.4 Let l = -1467 + 1401. What is the closest to l in -3/2, -2/5, 1, -1? -3/2 Let p = -1445.6 - -1662. Let r = 217 - p. Let q = -13 + 8. Which is the closest to 0.1? (a) r (b) -0.2 (c) q b Let w = -4419/5860 + 6/1465. What is the closest to w in 2, -2, -0.03? -0.03 Suppose -6*j + 7 + 23 = 0. Suppose j*v - 31 = -2*o, o = v - 3*o + 7. Let r = -124.8 - -125.7. Which is the nearest to v? (a) -3/5 (b) r (c) -0.4 b Let n = 0.8 + 0. Let u = -4865.22 - -4865.42. Which is the nearest to n? (a) u (b) 5 (c) -0.3 (d) -5 a Let d = -0.593 + -145.907. Let v = d + 147. Which is the closest to -2? (a) -1/3 (b) v (c) -5 a Let n be 8 + ((-128)/8 - -4). Let j be n/(-80) + 36/(-45). Which is the closest to -1? (a) 4/5 (b) j (c) -2 (d) 0.2 b Let g = -0.653 - -477.653. Let n = 480 - g. Which is the nearest to -6/11? (a) 1/4 (b) 0.1 (c) n (d) -3 b Suppose -227 = -246*h - 137 + 156. Which is the nearest to 0.1? (a) 2/13 (b) h (c) 2/735 a Let y = 233487 - 1634408/7. Let n = 2 - 2. Which is the closest to n? (a) y (b) 0 (c) 0.1 (d) -5 b Let v = -1271 + 6327/5. Let u = -31/5 - v. What is the closest to -1 in u, -1/5, -5? u Let v be (-6)/10 - ((-16)/20)/(-2). Let f be v/(-4)*2 - 135/198. Let i = 5.6 - 6. What is the nearest to -2 in i, f, -2? -2 Let r = 19477 - 136337/7. Which is the nearest to r? (a) -92 (b) 1/4 (c) -5 b Suppose 0 = -8*l + 14*l - 12. Suppose 4*g = l*g. What is the nearest to 3 in g, -5, 1? 1 Let v = 19957 - 59866/3. Which is the closest to 122? (a) -0.5 (b) 1 (c) v (d) -1/6 c Let g = -0.13 - 0.17. Let j = -63 + 95. Let u = j - 37. What is the nearest to -2/5 in u, 0, g? g Let p = -169.4 + 169. Let n = -12.8 + 1.8. What is the closest to 3 in p, n, -1? p Suppose 16*p + 271 = 111. Let j be (-9 - p) + (-2)/(78/45). Let o = 25 + -74/3. What is the closest to -1/2 in j, 2, o? j Let r = 64 - 223. Let s = r - -160. What is the nearest to 0.2 in s, 5, 3/7? 3/7 Let p = 13448 - 13445. Which is the closest to 5? (a) 0.4 (b) -238 (c) p c Suppose 4*t = 7*t - 4*y + 32, y - 13 = 2*t. Let u be -5 - 21/t - 0. Which is the nearest to -47? (a) -0.3 (b) u (c) 1 a Let w = -5458 - -5455. What is the closest to -0.1 in -2/3, 586, w? -2/3 Let i = 676 - 677.196. Let r = -1.15 - i. What is the closest to -1 in 5, -0.4, -3, r? -0.4 Suppose -12 = 32*w + 20. Which is the closest to w? (a) 1/9 (b) -0.3 (c) -3/5 (d) -1 d Let f be (-16)/(-32)*(-1 + 25). Let j = f - 17. Let g = -700 + 699.9. What is the closest to 1 in -2, j, g? g Let a = -19711 - -19708. Let q = 148/3 + -749/15. What is the closest to 0.2 in a, 2/7, q? 2/7 Let u = 1.4 - -0.6. Let j(h) = h**3 - 34*h**2 - h + 29. Let f be j(34). Which is the closest to -0.3? (a) 1/2 (b) u (c) f a Let t = -12641 + 12642. Which is the nearest to 0.2? (a) -5 (b) -14.9 (c) t (d) 0.3 d Let l = 0.083 + 0.117. Let t = 232 - 1618/7. What is the closest to t in -3, 15, l? l Let i be 8/(-56)*-1 - 30/112. Let h = 1385 - 1384.9. Which is the closest to -3/38? (a) -0.5 (b) h (c) i c Let p be 1886/4182 - 2/17. Let x = 0.3 - 0.3. Which is the nearest to p? (a) 1 (b) x (c) -4 b Let b = 10203 + -10203.2. What is the nearest to -0.28 in 0.4, -5, b, -2? b Let p = -7610 - -7627. Which is the nearest to 1? (a) -1/2 (b) p (c) -0.2 (d) 2 d Let q = 26.172 + -0.172. Let i = q - 27. What is the nearest to 4 in 3/8, -0.11, i? 3/8 Let v = 5.7 - 5.8. Let y = 0.105 + -0.505. Suppose 0 = r - 3 - 2. What is the closest to v in y, r, 0.4? y Let t = -61.1 + 61. Suppose -6*p - 25 = -9*p + 5*i, 2*i + 10 = 4*p. What is the nearest to p in -0.3, t, 0.2, -4? t Let d be 8/(-2) - (1 - 1). Let j(h) = 1962*h + 13736. Let k be j(-7). Let t = -7 + 10. What is the nearest to 1 in k, d, t? k Let n = 0.18 - -6.82. Let w be ((-44)/30)/(7 - 319/55). Let i = -53/36 - w. Which is the nearest to 1/2? (a) -2 (b) n (c) i c Let t = -3 + 1. Let k = -82 + 412/5. Let q = 1.076 - 3.076. Which is the closest to t? (a) q (b) -1/3 (c) k a Let x = -104/435 - 14/87. Suppose 10*k = 5*k - 15. Let u be 0 - k - 9/4. What is the closest to u in -2/7, x, 0.5? 0.5 Let w = -3.8 + 0.8. Let q = w - -3.1. Let g be -3*9/(-4)*(-280)/(-210). Which is the closest to 0.1? (a) g (b) q (c) 5 b Let n = 410 - 843. Let x = n + 432.609. Let v = x - 0.009. Which is the nearest to 0.2? (a) v (b) -1/3 (c) -4 b Let t = -0.3258 + 0.0258. Let f = 2.68 + -0.08. Let j = 0.6 - f. What is the closest to -1/19 in 4, t, j? t Let w = 45/2 + -65/3. Let s = -10 - -10. Let f be s/(-5) + 0/(-4). Which is the nearest to f? (a) -11 (b) w (c) 2 b Let l = -0.07 - 0.23. Let c(p) = -4*p**2 + 49*p + 347. Let u be c(-5). What is the closest to 3 in l, -0.28, u? u Let x = -9177 + 9177. What is the closest to 0.2 in 0.1, 1, 53/3, x? 0.1 Let y = 12.14 + -11.94. Which is the nearest to 0.1? (a) -5/3 (b) -1 (c) 2/19 (d) y c Let o = -2401.3 + 2400.3. What is the closest to o in -2/359, 1/5, 0.1, 2/7? -2/359 Let s = -24541 - -24539. What is the nearest to -1 in 14, 2, s, 3? s Suppose 0 = -0*t - 5*t + g + 87, -2*t + 39 = g. Let m be ((-3)/t)/(2/3). Let i = 11 + -8. Which is the nearest to 1? (a) i (b) m (c) -2/7 b Let k = -7.73 + 33.678. Let d = k + -26. Let u = 0.048 - d. What is the closest to -3 in u, -2, 0.5? -2 Let c be -3 - 2*42/(-18). Let m = 233 + -234. Let l = 4 + -7. What is the nearest to m in c, -3/4, l? -3/4 Let n = 14 - 21. Let z be (4/(-28))/((-6)/n). Suppose 3041*i - 3055*i = -70. Which is the closest to -1/3? (a) 2/9 (b) z (c) i b Let d = -0.319 + 0.181. Let x = 0.238 + d. What is the closest to 1 in -8, 4, x? x Let j = -129.7 - 23.3. Let u = 153.3 + j. Which is the nearest to u? (a) -4 (b) -5 (c) -2/7 c Let j = 2/95 + 936/665. Which is the ne
{ "pile_set_name": "DM Mathematics" }
10*y + 452. Let d be o(-32). Which is the second smallest value? (a) 0 (b) 0.2 (c) d b Let h = -207/122 - -12/61. Let y = -20.16 + 17.2. Let r = y - 0.04. What is the smallest value in r, 2, h? r Let p = -131 - -1705/13. Let d be (-2 - (-3 + 4))*(-3)/15. What is the second biggest value in 4, p, d, -5/7? d Let q = -16 + 15. Let m = -212 - -211.7. What is the second smallest value in 6, q, m? m Let t = -391/896 - -1/128. Let n be ((-183)/(-45) + -4)*-6. Which is the third smallest value? (a) -0.3 (b) t (c) n (d) -1/6 a Let v = 1213 - 15781/13. Which is the smallest value? (a) v (b) 5 (c) 6 (d) 1/2 a Let c = -0.55 - 0.05. Let o = c + 0.3. Let s = -19 - -19. What is the third biggest value in s, o, 3? o Let i = 915 + -914.6. Which is the biggest value? (a) 22 (b) 1/4 (c) i a Let r be (-3)/4 + (-3)/6. Let l = 66.43 - 66. Let d = l + -0.53. What is the second biggest value in 1/4, r, d? d Let t be (282/1504)/((-3)/(-4)). What is the second biggest value in t, 0.2, 47, 0.4? 0.4 Suppose 79 = 4*p + 83. What is the third biggest value in p, 0.1, -1/6? p Let h = -645.92 - -646. What is the second smallest value in 0.5, h, 21? 0.5 Let p = -83 + 83.2. Which is the biggest value? (a) p (b) 5 (c) -1.2 b Let j = 0.053 + -1.963. Let y = j + -0.09. Let z = y + -3. Which is the smallest value? (a) 2/3 (b) z (c) -0.2 b Let k = 0.0267 + -0.2267. Which is the second biggest value? (a) k (b) -4/49 (c) 0 (d) -1 b Let d = -262 - -1831/7. What is the smallest value in d, 1, 9? d Let j = 0.17 + 1.09. Let s = -1.94 - j. What is the second biggest value in -2, s, 4/3? -2 Let z = 5.87 - 5.85. Let n = 0.28 - 0.68. Which is the third biggest value? (a) -2 (b) n (c) -4 (d) z a Let h = -0.9 + 0.94. Let d = h + -0.07. Let l be ((-2)/6)/((-1)/(-9)). What is the smallest value in l, d, -0.4? l Let q = 129 + -151. Which is the fourth biggest value? (a) -0.4 (b) -1/4 (c) q (d) -1/5 c Let w = -71/15 + 46/15. Which is the third smallest value? (a) -1/5 (b) w (c) 2/7 (d) 0 d Let m = -34 - -38. Suppose -m*l - 39 - 9 = 0. Let o be ((-3)/l)/(-3 - -2). Which is the second biggest value? (a) o (b) -8 (c) 0.4 a Suppose -4*m - k = 17, 4*k = -m + k + 4. What is the fourth biggest value in -0.1, m, -6, -1? -6 Let t = 35/16 - 493/240. Which is the biggest value? (a) t (b) 0.02 (c) 0.3 c Let q = 0.01 + 0.04. Let j = -2.95 - q. Let c be (-1*(-3 - 1))/(-2). What is the biggest value in c, -4, j? c Let n = 38.064 - 38. Let v = n + -3.064. What is the third smallest value in -0.3, v, 3/2? 3/2 Let f = -12256/15 - -3702/5. Let t = f - -77. Let y = 1 - 1. What is the third biggest value in t, y, -0.1? -0.1 Let h = -9 + 3. Let i = h - -1. Suppose 0 = -p - 2*p. Which is the third smallest value? (a) 2/13 (b) i (c) p a Let a = -47 + 43. Let m be 18/a*(-38)/57. What is the smallest value in 0.5, -2/3, -0.09, m? -2/3 Let u = 0.09 + -0.01. Let n = -3.1 + 3.68. Let z = u - n. Which is the third smallest value? (a) -0.4 (b) 5 (c) z b Suppose 17*j = 16*j - s - 97, j - 5*s = -67. What is the biggest value in -4, j, 1? 1 Let m be -1 + -2*1 + 0. Let h = 9 + -9. Let i be (-78)/65*(-20)/(-42). What is the second biggest value in i, h, m? i Let d = 88/7 + -90/7. Let y = 16.8 - 33.8. Let u = 17.7 + y. What is the second biggest value in -0.3, d, u? d Suppose -47 = 2*l - 2*r - 15, 5*l - r = -76. Suppose 0 = -3*i - 3*m - 30, -3*i - 20 = -4*i + 5*m. What is the biggest value in l, -0.4, i? -0.4 Let l = 0.02 + 28.98. Let t = l + -28.5. What is the third smallest value in 1/4, t, -5? t Let y = -2.17 + 98.17. Let f = y - 92. What is the fourth biggest value in -2/3, -6, f, -1/2? -6 Let m be ((24/36)/(6/4))/1. Which is the second biggest value? (a) -1/8 (b) m (c) 0.4 (d) -0.3 c Let r(g) = -g**3 - g**2 - g - 2. Let x = -14 - -14. Let h be r(x). Let n = -6/155 + 16/93. What is the third smallest value in h, n, -1/2? n Let d = 199 - 204. Let w = 0 - 0.1. Let a = 2/81 - -25/81. What is the biggest value in w, a, d? a Suppose -4*q = 3*j, -10*j + 3*q = -6*j + 25. Which is the biggest value? (a) j (b) -1/53 (c) 0.3 c Let p = -4.0141 + 0.0041. Let q = -4 - p. Let x = -3/88 + -249/440. Which is the second smallest value? (a) q (b) x (c) 2 a Let b = 0.0289 - 0.0789. What is the fourth biggest value in b, -0.3, -2, 2/15? -2 Let o = -45.065 + 0.065. Let h = o + 33. Which is the second smallest value? (a) 2/9 (b) 2/15 (c) h b Let t = -101.1 + 105.1. Which is the third smallest value? (a) -0.03 (b) t (c) 3/5 b Let b = 0.1559 - 0.0559. What is the third biggest value in 7, 5, b? b Let k = -20 + -17. Let o = -32 - k. Which is the biggest value? (a) o (b) 0.1 (c) 3/8 a Suppose -l - 2*l + 3*q = -3, 0 = 3*l - q + 7. Let d be 55/l + 15/(-60). What is the second biggest value in -0.3, d, 3? -0.3 Let z = 3 + 9. Suppose z = -3*l - 0. Let y be l/(-2) - 0/(-1). What is the third biggest value in 4, y, -1? -1 Suppose -4*n = u - 3*u - 24, -32 = 5*u - 3*n. Let l be 2 + (-10)/6 - 4/3. Let j be -3*4/3*-1. Which is the third biggest value? (a) l (b) u (c) j b Let w = -640 - -637.01. Let g = 0.01 - w. Let v = 1 + -4. Which is the third smallest value? (a) -2 (b) g (c) v b Let z = -0.1267 - -50.8267. Let q = z + -51. Let n = -1.91 - 0.09. What is the third biggest value in -1/4, q, n? n Let i = -160.5 - -161. Which is the second smallest value? (a) i (b) -0.1 (c) 0.02 (d) 3 c Let i be 17/(-68)*(-56)/(-63). Which is the third smallest value? (a) i (b) -1 (c) 13 c Let l be (-2 - -3)/((-3)/6). Let i = 355 + -361. What is the third smallest value in l, i, -0.4? -0.4 Suppose n + 1 = -2*f, 4*n - 28 - 4 = 4*f. Suppose 0 = -3*w + 7*w. Let s be (0 + 1)/(n + w). Which is the third smallest value? (a) s (b) -0.1 (c) -2/11 a Let w = 20 - 17. Let l(x) = -x**3 + 19*x**2 - 19*x + 13. Let r be l(18). Which is the smallest value? (a) r (b) -10 (c) w b Let w = -292 + 288.3. Which is the third biggest value? (a) 4 (b) w (c) 2 b Suppose 619 = 14*w + 647. Let j = 2.5 - 1. Let s = j - 1. What is the second biggest value in s, -1, w? -1 Let s = 196.2 + -196. What is the second biggest value in -4, -1, s, 0.02? 0.02 Let m = -4 - -7. Let t = -30.58 + 27.58. Which is the third biggest value? (a) t (b) 5 (c) 1 (d) m c Let z = -19 + 21. Let x be (-4)/((-32)/(-14)) + (-3)/12. Which is the second smallest value? (a) 4 (b) -1/8 (c) x (d) z b Let r = 21 - 19. Which is the third biggest value? (a) -1/3 (b) 5/4 (c) r a Suppose 4 = -h, 21*r + 22 = 22*r - 5*h. Which is the third smallest value? (a) -2 (b) r (c) -26 (d) -0.08 d Let b = -58 + 56. Let i(l) = -3*l - 1. Let s be i(-1). Suppose 0 = -s*o + 3*o - 4. What is the second smallest value in o, b, -2/7? -2/7 Let d = -23 - -19. Let q = 38.83 - 39. Let m = -0.27 - q. Which is the second smallest value? (a) d (b) m (c) -0.02 b Let l = -31 - -121. Let q = -90.5 + l. Which is the third biggest value? (a) 0.2 (b) -1 (c) q (d) -2/3 d Let z = -0.28 + 5.28. Let d = -4 + z. Let i = -1.4 + d. Which is the third smallest value? (a) i (b) 1 (c) 9 c Let y = 32 + -18. Let w = y - 2. Let o = 10 - w. Which is the second smallest value? (a) o (b) 2/5 (c) -2/9 c Let o be 3 + (-3)/(3 + 0). Let m = -2 - o. Let h = m + 6. Which is the smallest value? (a) 1/5 (b) 3 (c) h a Let u = 107 + -112. Suppose 4*k = 4*v - 4, -4*v + 3*k - 7 = -6*v. What is the third biggest value in 1/2, v, u? u Let g = 1299/7 + -185. Let h = 113.4 + -117.4. Suppose 3*o - p + 2*p = -4, -2*o - 8 = -2*p. What is the third biggest value in g, h, o? h Let u = 4.29 + -0.29. Which is the third smallest value? (a) 3/4 (b) 0.48 (c) u (d) 0.5 a Let s = 7343/95 + 479/38. Let t = s - 90. Which is the third smallest value? (a) t (b) -1/11 (c) 2/19 (d) -5 b Let z = -0.07 + -3.93. Let w = -40 - -40.49. Let b = 0.09 - w. What is the third smallest value in z, b, -0.5? b Let m be 10/13*126/(-14). What is the biggest value in -1/6, 1/3, -0.1, m? 1/3 Let y = -0.213 + -2.787. Let j = 2 + -2.1. Let a = -104/3 - -35. What is the second biggest value in j, a, y? j Let z = 40 - 22. Let w = -17 + z. Which is the third biggest value? (a) w (b) 0.3 (c) 0.4 b Suppose 2*d = t - 0 - 5, -t = 2*d - 1. Let f be 5 - 8 - (t + 0). Let i be ((-3)/f)/(30/36). Which is the smallest value? (a
{ "pile_set_name": "DM Mathematics" }
t f be (-272)/(-9) - 6/27. Calculate the greatest common factor of l and f. 6 Suppose -623 = -6*t + 1351. Calculate the greatest common divisor of 517 and t. 47 Let h(c) = 13*c + 3. Let n be h(9). Calculate the greatest common factor of n and 300. 60 Let z(d) = 13*d - 32. Let i be z(4). What is the highest common divisor of 5 and i? 5 Let k be (1 - 6)/(-5) - -7. Let y = -38 - -78. Calculate the greatest common divisor of k and y. 8 Suppose 0 = 2*a + 4*s - 3*s - 5, 1 = a + s. Let m be -3 - (8/a - 61). What is the highest common factor of 8 and m? 8 Let g(l) = -9*l - 78. Let j be g(-17). Suppose q + 5 = 30. What is the highest common factor of q and j? 25 Suppose 2*y - 87 = -3. Let l be (-2 - -3)/(-6*1/(-168)). What is the greatest common factor of y and l? 14 Let h(a) = -a**2 + 4 - 8 - 2 - 8 + 10*a. Let t be h(8). Calculate the greatest common divisor of t and 1. 1 Let c(j) = -j**2 + 12. Let y be c(0). Suppose 0 = -342*k + 350*k - 192. Calculate the highest common divisor of k and y. 12 Suppose 116 = 3*l + w, -l + 4*l = w + 124. Let u = 253 + -158. Let n = u - 79. Calculate the highest common divisor of n and l. 8 Suppose -4*d + 7*d - 54 = 0. Let z be (-3 + 1)*(-225)/d. What is the greatest common divisor of z and 10? 5 Let z(m) = -4*m - 35. Let s be z(-8). Let a be 4 + 19 + s + 3. Calculate the greatest common factor of 23 and a. 23 Let u be 1*12/(-10)*-15. Let z = 2165 + -2003. Calculate the greatest common factor of u and z. 18 Suppose -32*s + 3*s + 435 = 0. Calculate the greatest common divisor of 255 and s. 15 Let v be (112/24)/7*15. Suppose -b = -0 - 10. Calculate the greatest common divisor of v and b. 10 Let j be (-6)/10 + 5376/60. Let l = -376 - j. Let w be l/(-7) - (-6)/(-14). What is the highest common factor of 44 and w? 22 Let v be ((-609070)/(-42))/55 + (-1)/(-3). Suppose 2*z = -z + 99. Calculate the highest common divisor of z and v. 33 Suppose -6*q + q - 180 = 0. Let n = q + 54. Let w be (-6)/n + (-98)/(-6). What is the greatest common divisor of w and 32? 16 Let a = 25 - 11. Let j(h) = 2*h**2 - 3*h. Let i be j(5). Calculate the greatest common divisor of a and i. 7 Let x be (-1)/(-3) + (-22)/(-6). Let w = -1601 + 1611. Calculate the greatest common factor of w and x. 2 Let u(g) = -g**2 - 15*g + 10. Let a be u(-16). Let b(l) = -4*l - 18. Let z be b(a). What is the greatest common factor of z and 21? 3 Let v be 69 + 5 + 10/(-1) - 4. Calculate the highest common divisor of v and 195. 15 Let m = 6 + -11. Let t be m + 2 - (-1 + 2). Let q be 10 + 4/8*t. Calculate the greatest common divisor of q and 24. 8 Let c be 22*2*126/72. What is the greatest common factor of 7 and c? 7 Let c(b) = b**3 - 7*b**2 - 13*b - 34. Let h be c(9). Calculate the highest common factor of 22 and h. 11 Suppose -26*r + 28*r = 170. Calculate the greatest common divisor of 25 and r. 5 Let t(d) be the second derivative of d**5/20 - 7*d**4/4 + 11*d**3/3 + d**2 - 7*d. Let p be t(20). What is the highest common divisor of 126 and p? 42 Let l be ((-12)/(-10))/(3/15). Let k(b) = b. Let h be k(l). Suppose s - 72 = -2*s. What is the greatest common divisor of h and s? 6 Let m be (5/(-2))/((-1)/2). Suppose -570 = -10*z + m*z. Suppose 2*n - z = -n. What is the highest common divisor of 57 and n? 19 Let h(f) = -5*f - 4. Let z be h(-1). Suppose 0 = -3*l - 3*d + 20 + 1, -d + z = -l. What is the highest common factor of 18 and l? 3 Let h(x) = -x**3 + 16*x**2 + 17*x + 18. Suppose 5*q + 2*i - 81 = 0, q + 7*i - 11*i - 25 = 0. Let a be h(q). What is the greatest common divisor of 72 and a? 18 Let r be (3/(-3))/(14/(-12) + 1). Suppose -2*s = w - 9, 4*s - r*s = 0. Calculate the highest common divisor of w and 54. 9 Suppose 3*g + 2*c - 45 = -c, -5*g = 3*c - 69. Let o(x) = 30*x**2 + x + 1. Let f be o(-1). Calculate the greatest common divisor of g and f. 6 Let o(u) = -387*u + 2*u**3 - 3*u**3 + 9 + 6*u**2 + 390*u. Let y be o(6). Calculate the highest common divisor of y and 108. 27 Let u be (-4 - (-405)/10) + (-9)/6. Let z(h) = -35*h**3 - h**2 - h. Let p be z(-1). Calculate the greatest common factor of u and p. 35 Let f be -12*2/(-12) - -13. Calculate the greatest common factor of 120 and f. 15 Suppose 5 = -5*c + 20, 4*g - c = 13. What is the highest common factor of g and 2? 2 Let m = -116 - -116. Suppose -i + 3 = 2*g, -5*i + 7 = 2*g - m. What is the highest common divisor of i and 3? 1 Let f = 11 + 16. Let y be 1/((-3)/(-18)) - -3. What is the greatest common divisor of y and f? 9 Let s(y) = y**3 - 4*y**2 - 21*y - 4. Let z be s(8). What is the greatest common factor of 231 and z? 21 Let u(f) = f**2 + 2*f - 1. Let m be u(-4). Let n = -96 - -159. Calculate the highest common divisor of n and m. 7 Suppose -7*b - 152 = -502. What is the greatest common divisor of b and 1150? 50 Let w be (2/(-1))/((-4)/(-50)). Let y = -40 - -89. Let r = y + w. Calculate the highest common factor of r and 120. 24 Let t = -24 - -42. Suppose 0 = -3*u + 4*v + 10, 4*u = 3*v - 2*v + 9. Calculate the highest common divisor of u and t. 2 Suppose 168*m - 1392 = -6*m. Let t be (2 - (1 + 1)) + 2. What is the highest common factor of t and m? 2 Let j(l) = -23*l**3 - l**2 - l - 1. Let m be j(-1). Let x be (-54)/(-297) + 1976/m. What is the highest common factor of 18 and x? 18 Let r be (-2)/(-5) + (-69)/(-15). Suppose -40 = -4*p - n - 3*n, 0 = 5*n. Let g be (-50)/(-6)*12/p. Calculate the highest common factor of r and g. 5 Suppose 7*y = 5*y - 4*m + 76, 3*y - 2*m - 154 = 0. What is the greatest common divisor of y and 3? 3 Let k = -7 - -6. Let z(x) = -143*x. Let j be z(k). What is the highest common factor of 13 and j? 13 Let s = -43 - -99. What is the greatest common factor of s and 140? 28 Let u(g) = -g**2 + 31*g - 15. Let b be u(28). Calculate the greatest common factor of 3 and b. 3 Let o = 35 - 34. Let u be (-9)/(-2) + 2/4. Suppose -45 + 0 = -u*p. What is the highest common factor of p and o? 1 Let t(p) = -p**3 + 6*p**2 - 4*p + 27. Let r be t(6). Calculate the highest common factor of r and 291. 3 Let k(s) be the second derivative of -s**3/2 + 31*s**2/2 - 10*s. Let g be k(8). Calculate the highest common factor of g and 70. 7 Let d be 68 - 7 - ((-2)/(-2) - -3). Calculate the highest common factor of d and 114. 57 Let d = -9 + 22. Suppose -4*y - 512 = -5*x - 2*y, -120 = -x - 4*y. Suppose x = 14*i - 12*i. What is the highest common factor of d and i? 13 Let q be 6 + 6/(-3) + -23. Let y = 15 + q. Let p be (-144)/y + (-8)/2. What is the highest common divisor of 4 and p? 4 Let l = 1726 + -1718. What is the greatest common factor of 62 and l? 2 Let z(d) = -d**3 - 7*d**2 - d - 2. Let b be z(-6). Let y = 33 + b. Suppose h - 35 = -5*f, h + y = -4. Calculate the highest common divisor of 4 and f. 4 Let q(y) = y**2 + 13*y - 12. Let v be q(-14). Suppose -3*b + 2*b = -3, 5*o = v*b + 269. What is the greatest common factor of 22 and o? 11 Let f = -12 + -76. Let n = f - -154. What is the greatest common divisor of n and 99? 33 Let c(a) = 3*a + 40. Let x be c(-5). Calculate the highest common divisor of 1775 and x. 25 Let s be 8/(-6)*8925/(-70). Calculate the highest common factor of s and 102. 34 Let d(n) = -7*n + 232. Let b be d(29). What is the highest common divisor of b and 464? 29 Suppose -21*r + 15561 = 18*r. What is the highest common divisor of 21 and r? 21 Suppose g - 6 + 9 = 0. Let i be 26/(-1)*(35/(-10) - g). What is the greatest common factor of 65 and i? 13 Let n = -210 + 218. What is the greatest common divisor of 20 and n? 4 Let n be 1224/255*20/6. Suppose -6*k + 2*l = -3*k - 48, -2*k + 32 = -4*l. Calculate the highest common divisor of n and k. 16 Suppose -o + 3*b = -32, o = -2*o + 5*b + 80. Let q be 1098/o + (-9)/(-90). Calculate the greatest common factor of q and 11. 11 Let t(a) = -a - 1. Let s be t(-3). Let g = 4 - s. Suppose f + 10 = 24. What is the greatest common factor of g and f? 2 Let q be 30/8*12/9. Suppose -12 = q*z - 72. Let b = 291 + -183. Calculate the greatest common divisor of z and b. 12 Let s = -17 + 49. Let a be 1 + (-5 - 1) - 32/(-8). Let c be a/(3/(-3))*(6 + -2). What is the greatest common divisor of s and c? 4 Suppose 7*l = 3*l - 8. Let x be 1*(-2)/(l/25). Calculate the greatest common factor of 10 and x. 5 Let l be (12/5)/(-4) - (-1016)/10. Suppose -4*f + 91 + l = 0. Calculate th
{ "pile_set_name": "DM Mathematics" }
base 8? -1111 -454 (base 12) to base 14 -33a What is 28c (base 14) in base 12? 370 320 (base 15) to base 5 10310 What is -505342 (base 6) in base 16? -9c9e Convert -14677 (base 8) to base 16. -19bf Convert 4da (base 16) to base 7. 3423 104 (base 10) to base 5 404 What is 1230333 (base 4) in base 13? 3237 Convert -33644 (base 7) to base 10. -8558 -602 (base 11) to base 5 -10403 2c14 (base 13) to base 7 24526 What is -763 (base 11) in base 5? -12131 What is 9482 (base 11) in base 16? 3109 What is -1145 (base 8) in base 7? -1534 -3a5 (base 11) to base 3 -122201 Convert -10008 (base 9) to base 15. -1e2e -1214 (base 8) to base 5 -10102 What is -3850 (base 11) in base 2? -1001110011000 -40313 (base 5) to base 13 -1239 Convert 1405 (base 6) to base 8. 555 b20 (base 13) to base 10 1885 -1121331 (base 5) to base 6 -233332 What is 22043 (base 5) in base 6? 11015 What is 1431 (base 13) in base 12? 1829 184a (base 13) to base 2 111000011011 Convert 27623 (base 10) to base 12. 13b9b Convert 41032 (base 5) to base 4. 221102 Convert 243324 (base 5) to base 14. 3502 Convert -6b4c (base 14) to base 13. -8677 Convert -111220 (base 9) to base 8. -201727 What is 794 (base 14) in base 9? 2048 What is 7683 (base 9) in base 2? 1011000100000 What is 110220212 (base 3) in base 2? 10010011001011 What is 1201022 (base 4) in base 7? 24062 What is c416 (base 13) in base 16? 69b3 What is -308 (base 9) in base 12? -18b Convert 105310 (base 6) to base 7. 35103 -189d6 (base 14) to base 4 -33031300 What is -45053 (base 7) in base 15? -3572 -2d0 (base 14) to base 10 -574 -340 (base 13) to base 3 -202201 755 (base 14) to base 7 4135 What is -431455 (base 6) in base 2? -1000101000111011 Convert -130022 (base 6) to base 3. -121000112 162055 (base 7) to base 12 16597 222020022 (base 3) to base 16 4ab4 What is -21213222 (base 4) in base 7? -222606 368 (base 9) to base 11 258 What is -34d8 (base 14) in base 9? -13558 What is -24512 (base 11) in base 3? -1210022121 What is 381b6 (base 12) in base 11? 52377 Convert -110000001110010 (base 2) to base 8. -60162 Convert -579 (base 12) to base 8. -1455 Convert -1212 (base 4) to base 14. -74 What is 82a1 (base 14) in base 4? 11133111 What is -30332 (base 4) in base 7? -2264 What is 27633 (base 8) in base 2? 10111110011011 What is 110100101011101 (base 2) in base 12? 13739 Convert -13512 (base 7) to base 11. -284a What is -201001 (base 3) in base 12? -36a Convert 4318 (base 10) to base 7. 15406 Convert 1420a (base 11) to base 8. 47371 2365 (base 12) to base 3 12102212 -1300404 (base 5) to base 16 -6210 -123661 (base 8) to base 5 -2333204 Convert 1010110001110010 (base 2) to base 11. 30193 What is 13330 (base 4) in base 13? 301 What is -13132 (base 4) in base 16? -1de 1f93 (base 16) to base 10 8083 Convert -5019 (base 10) to base 2. -1001110011011 Convert 2600 (base 9) to base 11. 1508 What is -2118 (base 15) in base 12? -4072 Convert -221134 (base 5) to base 2. -1110111110101 -2640 (base 11) to base 5 -102212 11441 (base 5) to base 6 4011 455 (base 9) to base 4 11312 34543 (base 8) to base 13 68c1 -42485 (base 10) to base 12 -20705 What is 113034 (base 5) in base 16? 1030 3c0 (base 14) to base 9 1030 115 (base 8) to base 11 70 What is -441 (base 10) in base 14? -237 51212 (base 7) to base 14 4779 186 (base 13) to base 5 2104 -101122 (base 5) to base 16 -cd7 What is -1047 (base 8) in base 12? -39b 353 (base 10) to base 3 111002 What is -137c (base 13) in base 6? -20555 -1622 (base 7) to base 11 -544 Convert -132434 (base 5) to base 16. -14f9 Convert 100012 (base 3) to base 4. 3320 -2434 (base 5) to base 16 -171 What is -133223 (base 5) in base 14? -1da6 -213120 (base 4) to base 15 -b30 Convert -16268 (base 9) to base 12. -655b What is 20228 (base 11) in base 8? 71562 1133112 (base 4) to base 5 143402 What is 2370 (base 13) in base 3? 20211220 What is -100 (base 16) in base 8? -400 319 (base 10) to base 6 1251 b11 (base 12) to base 2 11000111101 Convert -71426 (base 8) to base 9. -44365 Convert -68b6 (base 12) to base 8. -26612 50 (base 11) to base 2 110111 What is 6a8 (base 11) in base 5? 11334 What is 32302 (base 5) in base 13? 1005 What is 3311322 (base 4) in base 12? 9136 Convert 5614 (base 8) to base 4. 232030 What is 27557 (base 8) in base 2? 10111101101111 Convert -1015 (base 6) to base 14. -123 What is -34 (base 15) in base 10? -49 What is -13120 (base 8) in base 9? -7746 7047 (base 8) to base 15 1118 Convert 1963 (base 15) to base 7. 22005 -142044 (base 7) to base 15 -8089 What is 167b5 (base 13) in base 8? 124102 What is 44681 (base 10) in base 6? 542505 Convert 3443 (base 5) to base 3. 200110 823 (base 9) to base 11 559 What is -5106 (base 12) in base 8? -21126 What is 100100011101011 (base 2) in base 4? 10203223 -25d (base 16) to base 13 -377 101 (base 2) to base 6 5 41 (base 9) to base 7 52 What is 719 (base 10) in base 7? 2045 Convert -1120022112 (base 3) to base 5. -1441343 81 (base 12) to base 14 6d Convert 18227 (base 10) to base 7. 104066 Convert 72 (base 16) to base 7. 222 -122 (base 10) to base 11 -101 Convert 20110 (base 4) to base 5. 4112 Convert 20465 (base 7) to base 14. 1ba5 Convert 12110100 (base 3) to base 9. 5410 -10000111000000 (base 2) to base 14 -3212 79a2 (base 12) to base 9 20475 Convert 70 (base 12) to base 4. 1110 -21043 (base 5) to base 15 -633 -70 (base 13) to base 5 -331 -20120222 (base 3) to base 13 -2258 Convert -155 (base 9) to base 7. -245 Convert -11023103 (base 4) to base 16. -52d3 Convert -304341 (base 6) to base 7. -130630 What is 3401 (base 5) in base 13? 2a8 -2184 (base 11) to base 6 -21151 -201200 (base 5) to base 6 -45425 Convert 1033 (base 6) to base 12. 179 Convert 389 (base 12) to base 13. 324 What is -200000222 (base 3) in base 16? -335c What is 1222011 (base 3) in base 14? 747 What is 1067 (base 10) in base 15? 4b2 -110001001011 (base 2) to base 3 -11022120 Convert -102413 (base 5) to base 14. -13ab Convert 181d8 (base 15) to base 10. 78053 Convert -8b1 (base 14) to base 4. -122323 What is 761 (base 11) in base 9? 1225 Convert -7948 (base 13) to base 8. -41100 Convert -2022010 (base 3) to base 13. -9c0 What is -312603 (base 7) in base 13? -1b64b What is 472 (base 11) in base 2? 1000110011 -6718 (base 13) to base 9 -21654 -1487 (base 10) to base 6 -10515 What is 7fc2 (base 16) in base 15? 9a56 What is -2100002 (base 3) in base 9? -2302 -644 (base 13) to base 11 -893 Convert -7f7 (base 16) to base 4. -133313 What is -2300101 (base 4) in base 15? -3521 Convert -1649 (base 10) to base 14. -85b Convert aaab (base 16) to base 5. 2344231 What is 308 (base 11) in base 3? 111202 11011100010 (base 2) to base 11 1362 -16610 (base 9) to base 11 -8651 What is 2d6 (base 16) in base 7? 2055 Convert 4996 (base 12) to base 3. 102102020 What is -1011000011101 (base 2) in base 9? -7680 What is 7ea1 (base 15) in base 5? 1330201 Convert 1001110011010 (base 2) to base 11. 3852 Convert 11231 (base 4) to base 14. 1c1 -100000111011 (base 2) to base 3 -2220001 11111000100 (base 2) to base 16 7c4 -213 (base 11) to base 14 -144 Convert 1244 (base 7) to base 16. 1d9 Convert -12322 (base 4) to base 5. -3232 What is 22012 (base 3) in base 4? 3131 What is 33430 (base 5) in base 10? 2365 Convert 68300 (base 9) to base 7. 246324 What is -321341 (base 7) in base 13? -1c4ab 1484 (base 14) to base 15 112e What is -12223012 (base 4) in base 3? -1101111101 What is 225430 (base 6) in base 16? 4bba What is -174 (base 16) in base 7? -1041 What is 2046 (base 12) in base 11? 2701 What is -68510 (base 10) in base 12? -33792 What is 14370 (base 8) in base 6? 45332 1517 (base 13) to base 8 5766 555b (base 14) to base 3 202021110 Convert -73040 (base 8) to base 7. -154110 1a2 (base 11) to base 4 3221 -96b1 (base 16) to base 6 -454333 Convert -717 (base 10) to base 7. -2043 Convert 11121202 (base 3) to base 11. 2592 -339 (base 11) to base 13 -252 Convert 3a7 (base 14) to base 3. 1000020 What is -72371 (base 9) in base 5? -3011232 42432 (base 5) to base 4 230303 -1541 (base 9) to base 12 -817 -5485 (base 11) to base 2 -1110001000000 What is 1010000011 (base 2) in base 3? 212211 213040 (base 5) to base 10 7270 -230532 (base 6) to base 15 -5c45 Convert -90a7 (base 12) to base 3. -210111201 Convert -1001000110010 (base 2) to base 4. -10
{ "pile_set_name": "DM Mathematics" }
ue in -4/51, 0, a? a Let t = -21.8 - 0.2. Let d = t - -22.6. Which is the third smallest value? (a) -5 (b) -12/7 (c) d c Suppose -4*o - 3*o = 0. Suppose 2*c + 2 + 4 = o. Suppose 24 = -4*h - 5*s, 9*h + 19 = 6*h - 4*s. What is the third biggest value in c, 3, h? c Let r = -14603 + 14599. Let j = -1437/4 + 357. What is the second biggest value in r, -0.3, j? j Let n = -20784 + 20781. Which is the smallest value? (a) 1/5 (b) n (c) 0.072 (d) -3/7 (e) 5 b Let x be (9/(-54))/(15/18). Which is the third smallest value? (a) -2/5 (b) -0.07 (c) x (d) 0.1 b Let x be 3/(-11) + 85*5/550. Let t be -2 - (1 + (-7)/3). Which is the smallest value? (a) -3 (b) t (c) 4 (d) x a Let a = 13320/717199 - -4/3533. Let g = 178/203 - a. What is the third smallest value in -16, -2, g? g Let n be ((-77)/(-231))/(1/(-3)). What is the smallest value in 7, n, -2/39? n Suppose -33 = -5*g - 6*g. Suppose g*v + 15 = 264. Let c = -80 + v. What is the third smallest value in c, -0.06, -4/3? c Let c = -71002/8077 + 360/41. Let d be (397/(-591))/((-4)/8). Let r = c + d. What is the third biggest value in 24, -2, r? -2 Let g = 4.5 + -4. Let r = -3253 + 3260. Which is the smallest value? (a) r (b) g (c) 0.3 (d) 6 c Suppose -82*a = -56 + 138. What is the fifth biggest value in a, -0.01, -2, 11, 0? -2 Let g = 5514 + -5512.81. Which is the fourth smallest value? (a) g (b) 0.1 (c) -2 (d) 2 d Let o = 0.103 - 0.483. Let d(h) = -2*h**3 - h**2 - 1. Let p be d(1). What is the third smallest value in o, -5, p? o Suppose 5*w = -15, 69*a - 15 = 72*a + w. What is the third biggest value in 5, -2, a, 0.1? -2 Let v be 22/(-2) + (-3619)/(-44) + (-1)/4. Which is the third biggest value? (a) -0.15 (b) 1/3 (c) v a Let q = -40 + 161/4. Let u = -391 - -212. Let y = u - -178.7. What is the second smallest value in q, y, -1/3? y Let r = -53 + 60. Suppose 17 + r = 6*m. Suppose -3*j = 3*g + 9, j - m = 4*g + 3. Which is the smallest value? (a) 3 (b) 0.3 (c) j c Suppose -1109 = 3*n - 1118. Let v = -0.96 + -0.04. What is the smallest value in -15, n, v? -15 Let r = 1411 + -1410.972. Let w = 13 - 93/7. Which is the biggest value? (a) 0 (b) w (c) r (d) -3 c Let u = -15045 - -15254. Which is the fourth biggest value? (a) 1/7 (b) 0.2 (c) u (d) -5 d Let z = 10 + -21. Let m = -7107 + 7107. Which is the third smallest value? (a) 5/2 (b) z (c) -1 (d) m d Let x = -19684 - -19684. What is the second smallest value in x, -17, -1? -1 Let h = -8945/8 + 1122. Let o = 448.2 + -448. Which is the second smallest value? (a) o (b) 1/2 (c) h b Let o = -0.068 - 4.632. Let n = o + 5. Which is the second smallest value? (a) n (b) -3 (c) 4/11 a Suppose -5*i - 29 = 3*w, w + w - 6 = 3*i. Let a be 4 - 7 - 33/(-12). What is the second smallest value in a, -2/5, 0.02, w? -2/5 Let f(g) = -1461*g - 4384. Let i be f(-3). What is the second smallest value in 0.1, 6, 5, 3/34, i? 3/34 Let d = -1/8 + 3/8. Let g = 20558 + -20557. What is the biggest value in d, -1/3, 1/28, g? g Suppose 71*t - 1392 = 65*t. Suppose 240*k - t*k - 104 = 0. What is the third biggest value in k, 1.1, -2/25? -2/25 Let i = 176 - 153.4. Let r = i + 72.8. Let b = -95 + r. What is the second biggest value in 4, 3/2, b? 3/2 Suppose -5*i = -3*f - 17 - 7, 5*i + 4*f - 3 = 0. Let u be 2/3*36/8*i. Which is the smallest value? (a) u (b) -1/6 (c) 0.2 b Let n = -0.5324 + 1.5324. What is the third smallest value in n, 9, 3, -4, -0.1? n Let w = -15453.2 - -15453. Let j = 1208/99 - 144/11. Let g = j - -23/36. What is the biggest value in -12, g, -4, w? w Let h = -9251 + 37003/4. Which is the smallest value? (a) -0.3 (b) -392/15 (c) h b Let i = -1.45 - -0.45. Let m = -4.166 - 0.834. Which is the smallest value? (a) i (b) m (c) -2/13 (d) -0.4 b Suppose -v + 4 + 0 = -p, 2*p + 3*v = -3. Let r = 0.05704 + 0.00296. What is the third smallest value in p, -4, r? r Suppose -y - 24 + 93 = 0. Suppose -3*x = -6*x - y. Let t = -285.1 + 285. What is the biggest value in x, -5, t? t Suppose -4*z - 3*k + 8 = -0*z, -3*k - 37 = -5*z. Let q = -0.035 + 10.035. What is the second biggest value in q, -1, z? z Let t be (89/7)/(24/157). Let j = t + 9/56. Let u = j + -84. Which is the third biggest value? (a) u (b) 3 (c) 4/3 a Let d = 5.5533 + -0.5533. Which is the smallest value? (a) -175 (b) d (c) -2/11 a Let k = 3 - 2.9. Let y = -7.6815 + -6.3185. What is the third smallest value in -1, -1/4, y, k? -1/4 Let y = -56.04932 - -0.04932. Let g = 14 - 69. Let x = y - g. Which is the smallest value? (a) x (b) 2/7 (c) 0 a Let h = -0.29 - 10.71. Let r = -3/64 + 149/448. Let k = 5453 - 5456. What is the second smallest value in 2, r, k, h? k Let t = 579/4 - 145. Let v = -48.7 - -42.7. Let w be (-1)/(-4) + (-4)/(-16). Which is the biggest value? (a) v (b) t (c) w (d) 2/11 c Let h = 21/289 + -331/578. Let o be (-50)/15*(-6)/(-5). What is the biggest value in h, o, 4, -11? 4 Let f = -6835.03 - -6835. Let r(o) = o**3 - 9*o**2 + 7*o + 10. Let p be r(8). Which is the third biggest value? (a) f (b) p (c) 0.6 a Let v = -1 + 4. Let t = -0.035 - -0.735. Let m = t + 0.3. Which is the fourth biggest value? (a) v (b) m (c) 1/6 (d) -5.4 d Suppose -5 = -3*t - 3*n + 1, t - 3*n = -2. Which is the second smallest value? (a) -10/7 (b) -1/7 (c) t (d) -2/17 (e) -5 a Let g = -7301 - -7296. Which is the fourth smallest value? (a) 0.5 (b) 0 (c) g (d) -2/3 (e) 3/4 a Let w = -8083 + 8082.6. What is the third smallest value in -1/3, -323, -2/9, w, -3? w Let u = 272.7 + -272.9. What is the fourth smallest value in u, -2/7, -4/3, -9, -0.1? u Suppose 34*p - 35*p = 2*h - 5, 0 = -2*h + 3*p - 7. Which is the fourth smallest value? (a) -2 (b) 1/2 (c) -2/5 (d) 16 (e) h e Let j = 4.1876 + -0.1876. Which is the second smallest value? (a) j (b) -0.5 (c) 231 (d) 0.5 d Let s be 10/(-12)*(-36)/60. Let w = -1.129 + 0.129. Which is the fourth biggest value? (a) w (b) -5 (c) s (d) 0 b Let f be (-6)/(-14)*(-1295)/370. Which is the fourth smallest value? (a) f (b) 3 (c) -326 (d) 1 b Let q = 3.943 + -2.943. Let z be -8 + 6 + (2 - 0). Which is the smallest value? (a) -0.5 (b) z (c) -1 (d) q c Let i = -8391.2 + 8391. Which is the biggest value? (a) 0.6 (b) -2 (c) i (d) -0.08 a Let v = 475/17 + -865/34. Let w = 1/22 - -9/44. What is the biggest value in -4, v, w? v Let b = -216987559/78 + 2781819. Let r = 218/3 + b. Let j = 1/26 - r. What is the fourth biggest value in 2, 3, -0.3, j? -0.3 Let x = 4898 + -4897. What is the third biggest value in x, -0.5, 1.37? -0.5 Let p = 12 + -12. Let x = 941 + -948. What is the second smallest value in p, x, 4? p Let t be -22 + 23 + (-10)/(-8). What is the third smallest value in -1, t, -2, 4? t Let x = 0.31 + 0.66. Let w = -0.03 - x. Let k = 1 - -3. Which is the third smallest value? (a) w (b) 0.2 (c) k c Let f(g) = -g**3 - 105*g**2 + 17*g + 1285. Let l be f(-105). Which is the third biggest value? (a) l (b) 0.3 (c) -6 a Let p = 70 + -349/5. Let m = 2/159 + 145/1113. Suppose 272 = -77*g + 41. Which is the second biggest value? (a) 3/5 (b) g (c) m (d) p d Let b = -330181 - -330177. Let r be 10/2*(-2)/4. Suppose -13 = 5*u - i, -3*i + 15 = -6*u + 3*u. What is the fourth smallest value in r, -1/4, b, u? -1/4 Let p = 459.645 - 458. Let a = p - -0.355. What is the biggest value in a, 25, 1/5? 25 Suppose r + 2*h - 47 = -37, -2*r + 2*h - 22 = 0. Which is the smallest value? (a) r (b) 0.2 (c) -1.341 a Let u = -9.537 - -7.537. Let i = -0.8 + 1. Let t be -2*1 - (-2)/4. Which is the second smallest value? (a) i (b) u (c) t c Let t = 654.91 - -11.09. Let n = 665.6 - t. Which is the smallest value? (a) 3 (b) n (c) 4/23 b Let r = -1539931/8 + 191391. Let s = -1103 - r. Let y = -0.06 - -5.06. What is the biggest value in -5, s, y? y Let x = 1.447 - 1.947. Which is the fifth biggest value? (a) 1/7 (b) -5/4 (c) x (d) -0.2 (e) -0.01 b Let b = 14367 + -14370. What is the fourth biggest value in 4, b, -0.5, -774? -774 Let a be (2057/110 + -19)/((-12)/10). Let t = -5.9 - -2.2. What is the third biggest value in 5, t, a, -1/4? -1/4 Let k = 65837/21 - 3135. Which is the third smallest value? (a) -19 (b) k (c) -5 b Let l = -13449 - -13478. Which is the second smallest value? (a) 0 (b) 0.51 (c) l b Let f = -734/90
{ "pile_set_name": "DM Mathematics" }
n 480 is divided by 79? 6 Calculate the remainder when 1979 is divided by 31. 26 What is the remainder when 40 is divided by 25? 15 Calculate the remainder when 669 is divided by 21. 18 What is the remainder when 478 is divided by 44? 38 Calculate the remainder when 196 is divided by 40. 36 Calculate the remainder when 491 is divided by 229. 33 Calculate the remainder when 2421 is divided by 14. 13 Calculate the remainder when 206 is divided by 52. 50 What is the remainder when 28 is divided by 23? 5 Calculate the remainder when 909 is divided by 217. 41 Calculate the remainder when 3548 is divided by 222. 218 Calculate the remainder when 146 is divided by 3. 2 What is the remainder when 73233 is divided by 359? 356 What is the remainder when 163 is divided by 30? 13 Calculate the remainder when 426 is divided by 31. 23 What is the remainder when 4894 is divided by 29? 22 What is the remainder when 509 is divided by 7? 5 What is the remainder when 678 is divided by 124? 58 What is the remainder when 99 is divided by 10? 9 What is the remainder when 14079 is divided by 176? 175 Calculate the remainder when 447 is divided by 10. 7 What is the remainder when 917 is divided by 20? 17 What is the remainder when 281 is divided by 111? 59 What is the remainder when 101 is divided by 36? 29 What is the remainder when 43 is divided by 8? 3 What is the remainder when 340 is divided by 247? 93 What is the remainder when 1376 is divided by 92? 88 Calculate the remainder when 751 is divided by 48. 31 Calculate the remainder when 4385 is divided by 486. 11 Calculate the remainder when 169 is divided by 49. 22 What is the remainder when 3247 is divided by 16? 15 What is the remainder when 39 is divided by 14? 11 Calculate the remainder when 631 is divided by 10. 1 What is the remainder when 549 is divided by 69? 66 Calculate the remainder when 41 is divided by 15. 11 Calculate the remainder when 2914 is divided by 36. 34 What is the remainder when 27528 is divided by 57? 54 What is the remainder when 765 is divided by 64? 61 What is the remainder when 309 is divided by 63? 57 What is the remainder when 876 is divided by 40? 36 What is the remainder when 497 is divided by 63? 56 What is the remainder when 26 is divided by 7? 5 Calculate the remainder when 2267 is divided by 126. 125 What is the remainder when 4626 is divided by 27? 9 Calculate the remainder when 8447 is divided by 10. 7 What is the remainder when 23 is divided by 9? 5 Calculate the remainder when 135 is divided by 118. 17 What is the remainder when 134 is divided by 23? 19 Calculate the remainder when 74 is divided by 48. 26 What is the remainder when 1456 is divided by 178? 32 Calculate the remainder when 1033 is divided by 115. 113 What is the remainder when 1095 is divided by 262? 47 Calculate the remainder when 251 is divided by 13. 4 What is the remainder when 203 is divided by 34? 33 What is the remainder when 387 is divided by 56? 51 What is the remainder when 116 is divided by 39? 38 What is the remainder when 899 is divided by 17? 15 What is the remainder when 7347 is divided by 15? 12 What is the remainder when 47397 is divided by 20? 17 Calculate the remainder when 126 is divided by 34. 24 What is the remainder when 78 is divided by 35? 8 What is the remainder when 3198 is divided by 1589? 20 What is the remainder when 308 is divided by 24? 20 What is the remainder when 2493 is divided by 24? 21 What is the remainder when 190 is divided by 68? 54 What is the remainder when 218 is divided by 68? 14 Calculate the remainder when 309 is divided by 8. 5 What is the remainder when 87 is divided by 15? 12 What is the remainder when 377 is divided by 7? 6 Calculate the remainder when 42 is divided by 3. 0 What is the remainder when 6107 is divided by 149? 147 Calculate the remainder when 1590 is divided by 13. 4 What is the remainder when 13 is divided by 2? 1 What is the remainder when 694 is divided by 41? 38 Calculate the remainder when 196 is divided by 63. 7 Calculate the remainder when 474 is divided by 28. 26 Calculate the remainder when 83 is divided by 10. 3 What is the remainder when 619 is divided by 44? 3 What is the remainder when 53 is divided by 45? 8 Calculate the remainder when 85 is divided by 16. 5 What is the remainder when 16 is divided by 13? 3 What is the remainder when 635 is divided by 11? 8 What is the remainder when 1378 is divided by 1337? 41 What is the remainder when 622 is divided by 24? 22 Calculate the remainder when 5500 is divided by 67. 6 What is the remainder when 101 is divided by 26? 23 Calculate the remainder when 649 is divided by 50. 49 Calculate the remainder when 95 is divided by 8. 7 Calculate the remainder when 263 is divided by 38. 35 What is the remainder when 798 is divided by 50? 48 What is the remainder when 70 is divided by 68? 2 What is the remainder when 15 is divided by 4? 3 What is the remainder when 7716 is divided by 406? 2 What is the remainder when 106 is divided by 9? 7 What is the remainder when 358 is divided by 37? 25 What is the remainder when 584 is divided by 273? 38 Calculate the remainder when 109 is divided by 11. 10 Calculate the remainder when 92 is divided by 66. 26 Calculate the remainder when 416 is divided by 81. 11 What is the remainder when 2347 is divided by 780? 7 Calculate the remainder when 129 is divided by 12. 9 Calculate the remainder when 3125 is divided by 46. 43 Calculate the remainder when 60 is divided by 15. 0 Calculate the remainder when 65 is divided by 49. 16 What is the remainder when 144 is divided by 109? 35 Calculate the remainder when 207 is divided by 29. 4 What is the remainder when 896 is divided by 253? 137 Calculate the remainder when 27298 is divided by 17. 13 Calculate the remainder when 471 is divided by 43. 41 Calculate the remainder when 80 is divided by 43. 37 What is the remainder when 11885 is divided by 82? 77 Calculate the remainder when 95 is divided by 24. 23 Calculate the remainder when 196 is divided by 22. 20 What is the remainder when 163 is divided by 41? 40 What is the remainder when 734 is divided by 23? 21 What is the remainder when 156 is divided by 18? 12 What is the remainder when 20262 is divided by 298? 296 What is the remainder when 311 is divided by 213? 98 Calculate the remainder when 257 is divided by 157. 100 What is the remainder when 1329 is divided by 525? 279 What is the remainder when 4900 is divided by 29? 28 Calculate the remainder when 223 is divided by 45. 43 Calculate the remainder when 543 is divided by 25. 18 Calculate the remainder when 632 is divided by 48. 8 Calculate the remainder when 141 is divided by 79. 62 Calculate the remainder when 140 is divided by 5. 0 What is the remainder when 101 is divided by 43? 15 Calculate the remainder when 1291 is divided by 640. 11 What is the remainder when 486 is divided by 125? 111 What is the remainder when 284 is divided by 125? 34 Calculate the remainder when 75 is divided by 13. 10 What is the remainder when 230 is divided by 24? 14 What is the remainder when 1399 is divided by 27? 22 Calculate the remainder when 2790 is divided by 554. 20 Calculate the remainder when 898 is divided by 30. 28 What is the remainder when 22 is divided by 19? 3 Calculate the remainder when 8062 is divided by 144. 142 What is the remainder when 1438 is divided by 1373? 65 Calculate the remainder when 458 is divided by 34. 16 What is the remainder when 4473 is divided by 235? 8 Calculate the remainder when 60 is divided by 33. 27 What is the remainder when 1108 is divided by 15? 13 Calculate the remainder when 74 is divided by 33. 8 Calculate the remainder when 101 is divided by 6. 5 What is the remainder when 249 is divided by 14? 11 Calculate the remainder when 81 is divided by 21. 18 Calculate the remainder when 704 is divided by 69. 14 What is the remainder when 149 is divided by 14? 9 What is the remainder when 389 is divided by 26? 25 Calculate the remainder when 1488 is divided by 249. 243 What is the remainder when 250 is divided by 6? 4 Calculate the remainder when 412 is divided by 92. 44 Calculate the remainder when 131 is divided by 26. 1 Calculate the remainder when 143 is divided by 6. 5 Calculate the r
{ "pile_set_name": "DM Mathematics" }
Put 3, -4, 123 in ascending order. -4, 3, 123 Sort -12, 29, 2 in decreasing order. 29, 2, -12 Put 5, -0.2, -0.753 in descending order. 5, -0.2, -0.753 Put 4, 41, 3 in decreasing order. 41, 4, 3 Put 2, 3, -31, 8 in decreasing order. 8, 3, 2, -31 Sort 1, 0.1, 730, 3, -0.1 in increasing order. -0.1, 0.1, 1, 3, 730 Sort -20, 2, -5, -4 in ascending order. -20, -5, -4, 2 Put 9, 3, 13 in decreasing order. 13, 9, 3 Sort -0.118, 0, -3 in descending order. 0, -0.118, -3 Put 1/8, -8, 2/823 in descending order. 1/8, 2/823, -8 Sort 7, -2, -1, -5, 204 in decreasing order. 204, 7, -1, -2, -5 Put 4, -3, 0.5, -2/7, 2 in increasing order. -3, -2/7, 0.5, 2, 4 Sort 2, -6, 4/9, 52. -6, 4/9, 2, 52 Sort 4820, -5, 4. -5, 4, 4820 Sort 26, 5, -4, -35, 3 in ascending order. -35, -4, 3, 5, 26 Sort -3, -137, -9, -0.1 in descending order. -0.1, -3, -9, -137 Sort 3, 9, 5, 0.2, -5 in increasing order. -5, 0.2, 3, 5, 9 Put -1, -6, -4, -66 in descending order. -1, -4, -6, -66 Sort 0, -2, 0.02, -2/13. -2, -2/13, 0, 0.02 Put -6, 1/7, 1/8, -3, -1/2 in descending order. 1/7, 1/8, -1/2, -3, -6 Put -2/13, -0.16, 2 in descending order. 2, -2/13, -0.16 Put -1, 16, -3 in ascending order. -3, -1, 16 Sort -0.4, -0.08, 3.16 in ascending order. -0.4, -0.08, 3.16 Put 27/10, -3, -0.5, -5 in increasing order. -5, -3, -0.5, 27/10 Put -0.5, 0.5, 1.4, 4, -5/2 in descending order. 4, 1.4, 0.5, -0.5, -5/2 Put 6/11, 2/7, 23, 5 in increasing order. 2/7, 6/11, 5, 23 Sort -3, -4, 7, 5. -4, -3, 5, 7 Sort -36, -4, -1. -36, -4, -1 Put 1130, -2, 5, 3 in decreasing order. 1130, 5, 3, -2 Sort -8/3, 7, 2, 0, -1/7 in decreasing order. 7, 2, 0, -1/7, -8/3 Sort 4, -1, 25, -2 in descending order. 25, 4, -1, -2 Sort 5, -8, -5. -8, -5, 5 Sort -3, -1, 2, 6 in increasing order. -3, -1, 2, 6 Sort -12, 3, -1, 22 in descending order. 22, 3, -1, -12 Put -5, -1/27, 1/7, 5 in descending order. 5, 1/7, -1/27, -5 Sort -11, -5, 15, -1, -3 in descending order. 15, -1, -3, -5, -11 Put -1/76, 4, 2 in descending order. 4, 2, -1/76 Sort -4, 4, -3005 in ascending order. -3005, -4, 4 Put 20, -5, 2, -2 in increasing order. -5, -2, 2, 20 Sort -4, 9, 38, -1 in decreasing order. 38, 9, -1, -4 Put -1, -9, 2 in increasing order. -9, -1, 2 Put -0.2, 12.72, 4 in decreasing order. 12.72, 4, -0.2 Sort -8, -4, 1/6, -7 in decreasing order. 1/6, -4, -7, -8 Sort -1/23, 3, 1/4. -1/23, 1/4, 3 Put -277, -1, 15, 5 in descending order. 15, 5, -1, -277 Put -11, -3, 2 in decreasing order. 2, -3, -11 Sort 25/8, 1, -5, 0.5 in descending order. 25/8, 1, 0.5, -5 Put -121, -1, -14, -5, -2 in descending order. -1, -2, -5, -14, -121 Sort -0.2, -0.3, -37, 4 in descending order. 4, -0.2, -0.3, -37 Sort -3, 23, -30 in increasing order. -30, -3, 23 Put 3/5, 4/7, 2/73 in decreasing order. 3/5, 4/7, 2/73 Put 1/4, 4/5, -0.4, -0.1, -0.15 in descending order. 4/5, 1/4, -0.1, -0.15, -0.4 Put 2, -1.5, -0.1 in ascending order. -1.5, -0.1, 2 Put 93, -3, -5 in ascending order. -5, -3, 93 Sort 0.4, -25/8, -2 in decreasing order. 0.4, -2, -25/8 Sort 0, -10, -8. -10, -8, 0 Sort 6, 1/3, -0.09, 5 in descending order. 6, 5, 1/3, -0.09 Put -3/4, 0.5, 0.3 in descending order. 0.5, 0.3, -3/4 Sort -2, 10, 430, 0 in decreasing order. 430, 10, 0, -2 Put 0.5, 15, -0.09 in descending order. 15, 0.5, -0.09 Sort 3, 4, 165. 3, 4, 165 Put 1, 22, 0, -2 in ascending order. -2, 0, 1, 22 Sort 4/19, -0.2, -3, 0.3, 2. -3, -0.2, 4/19, 0.3, 2 Put 0.2, -4/3, 18, 0.1 in decreasing order. 18, 0.2, 0.1, -4/3 Sort 1, -28, 4, -3, -5 in decreasing order. 4, 1, -3, -5, -28 Put 1, 3, -5, 3/5, -2/5 in ascending order. -5, -2/5, 3/5, 1, 3 Sort 1/15, -1/2, 1/3, -1/3 in descending order. 1/3, 1/15, -1/3, -1/2 Sort 4, 7, -12, -18 in decreasing order. 7, 4, -12, -18 Sort -4, 376, -2 in ascending order. -4, -2, 376 Sort -4, 2/23, -8 in decreasing order. 2/23, -4, -8 Put -0.3, 12.8, 2, 2/17, -1 in descending order. 12.8, 2, 2/17, -0.3, -1 Put -0.8, 0.06, -5 in decreasing order. 0.06, -0.8, -5 Put -1.1, 4, 2/9, 2 in increasing order. -1.1, 2/9, 2, 4 Put -0.5, 812, 2 in decreasing order. 812, 2, -0.5 Sort 1, 24, -4 in decreasing order. 24, 1, -4 Sort 635, -4, -5, 2, 0.5 in decreasing order. 635, 2, 0.5, -4, -5 Sort 4, 0, -11, -1 in increasing order. -11, -1, 0, 4 Put -5, 2/7, -178, -2/9, 11 in descending order. 11, 2/7, -2/9, -5, -178 Put 3, 9, 2, -6 in descending order. 9, 3, 2, -6 Sort -5, 2, 3, -15 in ascending order. -15, -5, 2, 3 Put 0, 1, -70 in descending order. 1, 0, -70 Sort 1364, 5, -1. -1, 5, 1364 Sort 3, 1, -3015 in ascending order. -3015, 1, 3 Sort -2, -3, 11 in increasing order. -3, -2, 11 Put -3, 64, 1/3, -3/7, -5/4 in descending order. 64, 1/3, -3/7, -5/4, -3 Sort -1.54, 4, 5/2 in decreasing order. 4, 5/2, -1.54 Put -2, -1071, -5 in ascending order. -1071, -5, -2 Put 0.5, -0.01, 0.6, 0.4 in decreasing order. 0.6, 0.5, 0.4, -0.01 Sort -4, 421, -1, -2 in decreasing order. 421, -1, -2, -4 Put 48, 3, -10, 1 in ascending order. -10, 1, 3, 48 Sort 0.036, 2, -2/13, 0 in descending order. 2, 0.036, 0, -2/13 Sort 7, -2, -3, 0, 4 in descending order. 7, 4, 0, -2, -3 Sort 5, 6, -190, 3, -3. -190, -3, 3, 5, 6 Sort -7, 0, -1, -3 in increasing order. -7, -3, -1, 0 Sort 4, 5, 7. 4, 5, 7 Put 0.03, 0.6, -4, 0.2 in descending order. 0.6, 0.2, 0.03, -4 Put 3, -0.3, -2/7, -14 in descending order. 3, -2/7, -0.3, -14 Sort -1/2, 3/37, -2, 0.3 in descending order. 0.3, 3/37, -1/2, -2 Sort 3, -2, 18, 6, -1. -2, -1, 3, 6, 18 Put -5/4, -0.8, -12 in descending order. -0.8, -5/4, -12 Sort 1, 3, 4, -12 in decreasing order. 4, 3, 1, -12 Sort 2, -90, 36, 5. -90, 2, 5, 36 Sort 0, 5, -0.02, 1/3 in descending order. 5, 1/3, 0, -0.02 Sort 0.4, 4, 14.6 in ascending order. 0.4, 4, 14.6 Sort -16, 2, 5, -2, 41 in descending order. 41, 5, 2, -2, -16 Put 0, -12, -3 in increasing order. -12, -3, 0 Put -1, 407, 2 in increasing order. -1, 2, 407 Sort 4, 32, -2, -3 in descending order. 32, 4, -2, -3 Sort 5, 1, -12 in descending order. 5, 1, -12 Sort -52, 0.1, -3. -52, -3, 0.1 Put -4, -2, 1/5, 41/4 in descending order. 41/4, 1/5, -2, -4 Put -0.4, 1/4, 429 in descending order. 429, 1/4, -0.4 Sort -2, -5, -1, -20 in descending order. -1, -2, -5, -20 Put -43, -5, 0, 1 in descending order. 1, 0, -5, -43 Sort -63, 2, -4, -1 in descending order. 2, -1, -4, -63 Put 23, -7, -4, 5, 4 in increasing order. -7, -4, 4, 5, 23 Sort -4, 4, 0, 12, 5 in ascending order. -4, 0, 4, 5, 12 Put 5, 10, -3, 4 in ascending order. -3, 4, 5, 10 Put -3, -1, -8, 2/9 in ascending order. -8, -3, -1, 2/9 Sort -7, 6, -1, 1 in decreasing order. 6, 1, -1, -7 Sort -6, -4, 2 in descending order. 2, -4, -6 Put -23, 1, -4, 2 in increasing order. -23, -4, 1, 2 Sort -3/7, -16, -10.1 in increasing order. -16, -10.1, -3/7 Sort -2, 2/3, 0, -1 in descending order. 2/3, 0, -1, -2 Sort -2, -219, -1/4, 0.3. -219, -2, -1/4, 0.3 Put -1/6, -5, 1, -0.2, 148/3 in descending order. 148/3, 1, -1/6, -0.2, -5 Put -5, -7, 9, -4 in decreasing order. 9, -4, -5, -7 Put 18, -1, -11 in decreasing order. 18, -1, -11 Put 1, 92, -8 in descending order. 92, 1, -8 Put -0.2, -1/4, -42 in descending order. -0.2, -1/4, -42 Sort -1/13, -0.5, 153. -0.5, -1/13, 153 Put 6, -3, -92 in decreasing order. 6, -3, -92 Sort -9, 2, 6, 5. -9, 2, 5, 6 Sort 497, 0, 1, 4 in ascending order. 0, 1, 4, 497 Sort 6, 0.3, 1/6, -3/16. -3/16, 1/6, 0.3, 6 Sort 5, 1, -21, -3, 0 in descending order. 5, 1, 0, -3, -21 Sort 0.1, 0.04, 32, -3/5. -3/5, 0.04, 0.1, 32 Sort -14, 2, 15, -4. -14, -4, 2, 15 Put 2/11, -0.04, 4, -3, 1 in decreasing order. 4, 1, 2/11, -0.04, -3 Sort 5, 2, 26. 2, 5, 26 Sort -7, -5, -3, -50. -50, -7, -5, -3 Sort 1, -3/28, 0.5 in descending order. 1, 0.5, -3/28 Sort 3, -4, 5/46, -3, 5 in increasing order. -4, -3, 5/46, 3, 5 Sort 0, 3, -9, 11, -2. -9, -2, 0, 3, 11 Sort 19, -1/6, 39 in increasing order. -1/6, 19, 39 Sort 6, -2.5, -4, 5, -1/3 in ascending order. -4, -2.5, -1/3, 5, 6 Put -0.05, -110, 4/3 in ascending order. -110, -0.05, 4/3 Put 4, 0.2, -0.1, 2/27 in decreasing order. 4, 0.2, 2/27, -0.1 Sort 2/9, 0, 3, 2/25 in increasing order. 0, 2/25, 2/9, 3 Sort 30, -4, -3 in descending order. 30, -3, -4 Put 1, 1/5, -0.6, 1/4 in decreasing order. 1, 1/4, 1/5, -0.6 Sort -0.4, 0, 3, -46. -46, -0.4, 0, 3 Put -0.1, -2/19, 5, -26 in ascending order. -26, -2/19, -0.1, 5 Sort 0, 1, -94, -4 in decreasing order. 1, 0, -4, -94 Sort -
{ "pile_set_name": "DM Mathematics" }
, 4, 1 in increasing order. -246, -9, -2, 1, 3, 4 Sort 4/9, 58/7, 1/8, 1 in descending order. 58/7, 1, 4/9, 1/8 Put -1, -5, -2, -7, 40, 305 in descending order. 305, 40, -1, -2, -5, -7 Put 0.4, -0.1, -6/13, -1/9, -821 in descending order. 0.4, -0.1, -1/9, -6/13, -821 Sort 2/7, -2/113, 2, -3, 0.59 in decreasing order. 2, 0.59, 2/7, -2/113, -3 Put 5, 322, 2, -2 in ascending order. -2, 2, 5, 322 Sort 10, -10/13, 16, -1/4 in decreasing order. 16, 10, -1/4, -10/13 Put -7, 2644, 2 in increasing order. -7, 2, 2644 Sort 5, 11, -3/4, 2/23 in descending order. 11, 5, 2/23, -3/4 Sort 0, 18, -2453, 4 in descending order. 18, 4, 0, -2453 Sort -1, -4, -3/7, -2.3, -3/5, -2/7 in descending order. -2/7, -3/7, -3/5, -1, -2.3, -4 Sort -3, 1, 0.1, -2.0491, 2/7 in increasing order. -3, -2.0491, 0.1, 2/7, 1 Put 0, -1/7, 3, 0.1, 573 in descending order. 573, 3, 0.1, 0, -1/7 Put 1.1, 0.5, 17, 19, 4, -3/5 in decreasing order. 19, 17, 4, 1.1, 0.5, -3/5 Put -955, 2, -1, 7 in increasing order. -955, -1, 2, 7 Sort 1.373, -4, -3/2 in increasing order. -4, -3/2, 1.373 Put -1/4, -1, 3/4, 14/71, 2/17 in decreasing order. 3/4, 14/71, 2/17, -1/4, -1 Put -191, 0, -3/7, 181/4 in descending order. 181/4, 0, -3/7, -191 Put 2/3, -166, -0.7 in descending order. 2/3, -0.7, -166 Sort -41, -4, -5, -7, -29, 2. -41, -29, -7, -5, -4, 2 Sort -1, 3, -0.4, -2/11, 0.11. -1, -0.4, -2/11, 0.11, 3 Put -4/7, -0.08, -1866 in ascending order. -1866, -4/7, -0.08 Sort 9, -8, -14, 1, 8 in increasing order. -14, -8, 1, 8, 9 Sort -5, 2, -2, -19, -8, 34. -19, -8, -5, -2, 2, 34 Put -9, 1, 6, 48, 0 in decreasing order. 48, 6, 1, 0, -9 Sort 10, -4, 1, -17, 302, 4. -17, -4, 1, 4, 10, 302 Sort 1, 35, 59 in descending order. 59, 35, 1 Put 1, -33, 712, 2, -4, 6 in increasing order. -33, -4, 1, 2, 6, 712 Sort 1, -46486, 5, 2. -46486, 1, 2, 5 Sort -7, 0, -110, -52, -5. -110, -52, -7, -5, 0 Put 0, -243, -515, -1 in ascending order. -515, -243, -1, 0 Put -55, 1/2, 0.3, 1.05 in increasing order. -55, 0.3, 1/2, 1.05 Put -1873/4, -0.4, -2, -4 in increasing order. -1873/4, -4, -2, -0.4 Sort 4, -20, -4, 1, 3, 696 in increasing order. -20, -4, 1, 3, 4, 696 Sort 2, -219, 1, -2 in increasing order. -219, -2, 1, 2 Put 122, -260, -1, 3, -4 in ascending order. -260, -4, -1, 3, 122 Sort -2/13, -2/11, -2, 0, -7, 0.13 in ascending order. -7, -2, -2/11, -2/13, 0, 0.13 Sort -2, -4, 0, 3, 2, 10302 in decreasing order. 10302, 3, 2, 0, -2, -4 Sort 0.2, -4, -3/5, -3417 in increasing order. -3417, -4, -3/5, 0.2 Sort 2, 342, 63 in descending order. 342, 63, 2 Sort 27269, 4, 5, -1 in decreasing order. 27269, 5, 4, -1 Sort 22237, -2, 4, 1 in ascending order. -2, 1, 4, 22237 Sort -0.017, 1/8, -2, 0.1, 1.5 in ascending order. -2, -0.017, 0.1, 1/8, 1.5 Sort -225, -9, 4, 0 in decreasing order. 4, 0, -9, -225 Sort -231, -3, 5, -1, 0, -4 in ascending order. -231, -4, -3, -1, 0, 5 Put -3, 2903, 4 in decreasing order. 2903, 4, -3 Sort 3, 15, 4, -32, 0, -35 in descending order. 15, 4, 3, 0, -32, -35 Put -2/19, 1/264, 745 in decreasing order. 745, 1/264, -2/19 Put 1, 337, -1, -2, 7 in decreasing order. 337, 7, 1, -1, -2 Sort 2, 5, -264, -3, -5 in ascending order. -264, -5, -3, 2, 5 Put 2814, -5, -1, 2, 6 in descending order. 2814, 6, 2, -1, -5 Sort -1/4, -26, 2, 2/647, 3 in decreasing order. 3, 2, 2/647, -1/4, -26 Put -9, 5, 2873, 10 in descending order. 2873, 10, 5, -9 Sort 100, -0.4, 3. -0.4, 3, 100 Put 6, -66, -1, -3, 46 in descending order. 46, 6, -1, -3, -66 Put 1/6, -355, -17/6 in descending order. 1/6, -17/6, -355 Put -8, -75, 38, 4 in increasing order. -75, -8, 4, 38 Sort -195, -0.5, 2, 0.168, 7 in descending order. 7, 2, 0.168, -0.5, -195 Sort 34488, 6, 1. 1, 6, 34488 Put -5, -926, 1293 in decreasing order. 1293, -5, -926 Put 2, -230, 3, 4, -5 in descending order. 4, 3, 2, -5, -230 Sort 5, 3, -6, -78/227, 3/10 in ascending order. -6, -78/227, 3/10, 3, 5 Sort 7, 12, 3, -11, 0, -4 in descending order. 12, 7, 3, 0, -4, -11 Sort 362, -56, 4 in decreasing order. 362, 4, -56 Sort 112, 21, -12 in ascending order. -12, 21, 112 Sort 1/6, -5, 11/2, -127, -8, 0.4 in descending order. 11/2, 0.4, 1/6, -5, -8, -127 Put -4, 14/19, 1/5, -6 in increasing order. -6, -4, 1/5, 14/19 Sort 1/10, -1/4, 181.4, -2/9 in increasing order. -1/4, -2/9, 1/10, 181.4 Put 0.2, -2/3, -5, 436.9 in decreasing order. 436.9, 0.2, -2/3, -5 Sort 3/5, -0.1, 20, 1 in decreasing order. 20, 1, 3/5, -0.1 Put 0.3, 0.2, 38/9, 1.7 in ascending order. 0.2, 0.3, 1.7, 38/9 Put 589, -14, -11 in increasing order. -14, -11, 589 Sort -5, 2, 5, -28, -2, -6 in increasing order. -28, -6, -5, -2, 2, 5 Put 7, -5, -1, -420, -6 in ascending order. -420, -6, -5, -1, 7 Sort -2, -49, 49, 1, 5, -4 in decreasing order. 49, 5, 1, -2, -4, -49 Put -3, 23/3, 11, 2, -9, -7 in decreasing order. 11, 23/3, 2, -3, -7, -9 Put 25/2, 11/5, 0.02, -4, 5 in ascending order. -4, 0.02, 11/5, 5, 25/2 Put 1410, 2, -3, -146 in ascending order. -146, -3, 2, 1410 Sort 1/3, -0.0915, -4, 16/9 in ascending order. -4, -0.0915, 1/3, 16/9 Sort 3, -14, 3637 in descending order. 3637, 3, -14 Sort -3, -1, 2, -5, -9, 10 in increasing order. -9, -5, -3, -1, 2, 10 Put -4/5, 4.039, 5, -6 in decreasing order. 5, 4.039, -4/5, -6 Put -5/4, 2/5, -2, -0.0519 in decreasing order. 2/5, -0.0519, -5/4, -2 Put 3/32, 1267, 1 in ascending order. 3/32, 1, 1267 Put -26, -280, 1 in descending order. 1, -26, -280 Put 55, 2/19, 7, 1/5, -0.03, 4/3 in ascending order. -0.03, 2/19, 1/5, 4/3, 7, 55 Put 5, 50.2, 4/7, -2 in ascending order. -2, 4/7, 5, 50.2 Sort 1576, -2, 1, 0. -2, 0, 1, 1576 Put -24682, -3, 0 in descending order. 0, -3, -24682 Sort -0.4, -2597, 0, 0.07, -3/4 in ascending order. -2597, -3/4, -0.4, 0, 0.07 Put -14, -8, 825, -4, -3 in decreasing order. 825, -3, -4, -8, -14 Put 0.08, -9/137, -0.09 in increasing order. -0.09, -9/137, 0.08 Sort 2.27, -3, -5, 1, 2/43, 3/2 in ascending order. -5, -3, 2/43, 1, 3/2, 2.27 Sort -5, 139, -4, 2/15, -1 in decreasing order. 139, 2/15, -1, -4, -5 Sort 3, 6, -0.3, -2/5, -94 in increasing order. -94, -2/5, -0.3, 3, 6 Sort -43, 2, -4, -29, -18 in increasing order. -43, -29, -18, -4, 2 Sort 5/1188, -136, -2, 2. -136, -2, 5/1188, 2 Sort -3/2, 1206, 0.05, 4 in increasing order. -3/2, 0.05, 4, 1206 Sort 2/3, -0.3, -0.67, 2/35, 5 in ascending order. -0.67, -0.3, 2/35, 2/3, 5 Put 1892, 0, 3, 4 in descending order. 1892, 4, 3, 0 Sort 2608, 4, -5 in descending order. 2608, 4, -5 Sort 58, -4, -16, -1, -54 in ascending order. -54, -16, -4, -1, 58 Put -4, -6, 5, -654 in ascending order. -654, -6, -4, 5 Put -1, 1, 1152 in increasing order. -1, 1, 1152 Put -1, 123360, 1, -3, 4 in ascending order. -3, -1, 1, 4, 123360 Put 3, -1, 151, 7, -4 in descending order. 151, 7, 3, -1, -4 Sort -3, 8, 1, 430, -2, 5 in descending order. 430, 8, 5, 1, -2, -3 Put 133, -3/2, -4/111, 3/5, 1/9 in descending order. 133, 3/5, 1/9, -4/111, -3/2 Sort -3, 3/131, -1.4, 1, 2/3. -3, -1.4, 3/131, 2/3, 1 Sort -50, -1/6, 0.7, -5, -4, 9/2. -50, -5, -4, -1/6, 0.7, 9/2 Put 5/2, 0.4, 253, -3 in increasing order. -3, 0.4, 5/2, 253 Put -5, 0, -0.21, -2/3, -0.01 in decreasing order. 0, -0.01, -0.21, -2/3, -5 Sort -129, -0.21, -4, 2/5, 2/13 in descending order. 2/5, 2/13, -0.21, -4, -129 Sort 14, -4, -61, 3, 5, 0 in descending order. 14, 5, 3, 0, -4, -61 Sort -3, 1, -176, 0. -176, -3, 0, 1 Sort -1, -6, 3446. -6, -1, 3446 Put 7, -2/7, 31, -70, 0.03 in descending order. 31, 7, 0.03, -2/7, -70 Put 6, -4, 79, -24 in decreasing order. 79, 6, -4, -24 Put 1.57, 5, 2/5, 1, 2/3 in decreasing order. 5, 1.57, 1, 2/3, 2/5 Sort -118, 783, -1 in descending order. 783, -1, -118 Sort 4, -2, 1252, 3. -2, 3, 4, 1252 Sort 1/3, -8.8, -0.07, -10/7 in descending order. 1/3, -0.07, -10/7, -8.8 Put -860, 0, -4, 2, -6 in increasing order. -860, -6, -4, 0, 2 Put 1, 8, 538, 10 in decreasing order. 538, 10, 8, 1 Sort 6, -6, -1, 2, -3, -68. -68, -6, -3, -1, 2, 6 Sort 3148, -2, 4, 2, -5, -4. -5, -4, -2, 2, 4, 3148 Put 2/5, -3, -0.13, -7, -0.08 in descending order. 2/5, -0.08, -0.13, -3, -7 Sort 0, 1, -82, 2, 3, -3. -82, -3, 0, 1, 2, 3 Put 16/9, -2, 58, 2/7, -1 in descending order. 58, 16/9, 2/7, -1, -2 Put 12, -0.4, -5, -0.44, 2 in decreasing order. 12, 2, -0.4, -0.44, -5 Sort -2, -33408, 3 in decreasing order. 3, -2, -33408 Put -11, -19, 4, 1/8, 0, -130 in increasing order. -130, -19, -11
{ "pile_set_name": "DM Mathematics" }
*y = 6*y + 384. Let f(b) = -11*b + 229. Let u be f(5). Let g = u + y. Does 26 divide g? True Let x = -4 - -4. Let s be (-2 - x) + 24/3. Let y = s + 2. Does 4 divide y? True Let r(y) = y**2 - 4*y - 54. Let c be r(10). Suppose -533 = -c*m + 13. Is m a multiple of 47? False Suppose 0*k - 230 = 5*k. Let r = -15 - k. Is 22 a factor of r? False Let b(y) = -y + 13. Let w be b(11). Suppose w*v = 5*u + 123 - 33, -15 = u - v. Is (16/u)/((-1)/35) a multiple of 10? False Suppose -41*u + 45*u - q - 2637 = 0, 2*u - q - 1317 = 0. Does 22 divide u? True Suppose 0 = 3*u + 3*u - 906. Suppose 0 = -5*q - 4*y + 336, -u = -2*q + y - 14. Let z = q - -51. Is 17 a factor of z? True Let v(x) = x**2 - 6*x - 7. Let l(y) = 7*y + 32*y**3 - 2 + 3*y**2 - 31*y**3 + 4*y**2 + 3. Let m be l(-6). Does 11 divide v(m)? False Suppose -3*d - 3*q = -2553, -4*d + 5*d + 4*q = 851. Is d a multiple of 23? True Let u(w) = -w + 53. Let c be u(20). Suppose -5*p + 3*h = -540, p - h - c = 77. Is 21 a factor of p? True Let i = -339 - -738. Is i a multiple of 19? True Let s(k) = -k**2 - 2*k + 2. Let d be s(-4). Let b = d - -1. Is 10 a factor of 1*(1 - 7)*b? True Let z be ((-4)/(-5))/(-4*3/60). Does 5 divide ((-32)/2 - -4)/(6/z)? False Is 7 a factor of 131 + (65/10 - 6)*-10? True Let h(v) = v**2 - 4*v + 5. Let d be h(4). Suppose 494 = -3*l - 5*y, -d*l - 640 = -l + 2*y. Let t = 248 + l. Does 15 divide t? True Suppose -3*v + v = 5*o + 9, -9 = -3*v - 3*o. Is 42 a factor of (-2)/v - (-1983)/12? False Let m be (0 + 4/6)*9. Suppose 22*s - 78 = -4*s. Let z = m + s. Does 9 divide z? True Suppose 34*k - 18864 = -6182. Is k a multiple of 41? False Suppose -8 = -8*u + 6*u. Suppose 4*c + 3*h - 25 = 221, -2*c - u*h + 128 = 0. Is 30 a factor of c? True Let l = 827 + -113. Is l a multiple of 34? True Let c(a) = 1896*a + 80. Is c(1) a multiple of 6? False Let q be (-185)/10*(-6 - -4). Suppose k - q = -0*k. Is 11 a factor of k? False Let g = -39 - -37. Let c(n) = -n**3 - n**2 - n + 1. Let w(t) = 2*t**3 - 4*t**2 - 8*t + 4. Let i(y) = 5*c(y) - w(y). Is i(g) a multiple of 12? False Let n be 2 + (4 - (6 - 2)). Suppose -66 - 74 = -5*f - 3*u, -n*f - 5*u + 37 = 0. Is 18 a factor of f? False Let l(h) = 3 - 18*h + 2*h**2 - 8*h + 1 + 24*h. Is l(5) a multiple of 14? False Let c = 15 + 3. Suppose -c = -s - 12. Does 4 divide s? False Suppose 2*r = -q + 38, -q - r + 33 = -0*q. Suppose 0 = -q*x + 24*x + 60. Is 13 a factor of x? False Let w be (2*6 - (-6)/6)*1. Suppose 0 = 7*a - w - 99. Is 3 a factor of a? False Suppose -24 = -0*c - 3*c. Let y = 10 - c. Suppose y*i - 76 = -2*i. Does 6 divide i? False Let i be 11/(-55) - (-21)/5 - -2. Suppose -10*y + 388 = -i*y. Is y a multiple of 13? False Suppose -7*t + 1334 = 16*t. Is t a multiple of 17? False Let j(y) = -5*y**3 - 3*y**2 + 0*y**3 + 7*y**3 - 1 + 2*y. Does 2 divide j(2)? False Let o be (6/(-4))/((-5)/((-13720)/(-6))). Suppose 237 = 5*m - 3*s - o, -550 = -3*m - 2*s. Is 18 a factor of m? False Let c be (1*(-4 - -1))/(0 + -1). Is 2/6 + (-140)/(-36)*c a multiple of 5? False Suppose 9 = 2*z - 9. Let c(r) = -r**3 + 8*r**2 + 12*r + 13. Let o be c(z). Let y = o + -21. Is 6 a factor of y? False Let w(a) = -11*a + 1 + 3 + 1 + 12*a**2 + a**3. Let d be w(-13). Let i = d + 33. Is 4 a factor of i? True Let q be 2/3 - (-7)/3. Let h(m) be the first derivative of m**4/2 - 5*m**3/3 + 2*m**2 - m - 96. Is 10 a factor of h(q)? True Let g(z) = 3*z - 1. Let w be g(3). Suppose 3*b + 5*v = v + w, -v = -b - 2. Suppose -d + 2*d - 16 = b. Is d a multiple of 12? False Suppose 5*d = 10, -d + 17 = -3*q - 3*d. Let w(p) = -p**3 - 8*p**2 - 6*p + 8. Let c be w(q). Is -34*(7/(-2) + c) a multiple of 24? False Let a(c) = -c**3 + 9*c**2 + c + 5. Let i be a(9). Suppose 27 = d - i. Suppose -v + d = z, -97 = -2*v - 5*z - 0*z. Is 12 a factor of v? True Let l be 5*(1 + 3) + -1. Let q = 21 - l. Suppose 2*f + 18 + 68 = q*b, 3*b - 115 = -4*f. Is 14 a factor of b? False Let r(l) = 104*l**2 - 7*l. Is 17 a factor of r(-2)? False Suppose 11 = -5*t + 51. Suppose -4*q + 4 = -t. Suppose z + q*z - 44 = 0. Is 5 a factor of z? False Suppose -19*v + 11*v + 1472 = 0. Does 16 divide v? False Let b(w) = 2 + 14*w**2 + 4*w - 5*w**2 - 10 + 0. Does 24 divide b(-4)? True Let b = -38 + 29. Does 11 divide (b/6)/((-15)/110)? True Suppose -32*k + 36120 = -8*k. Does 49 divide k? False Suppose 9*n - 75 = 6*n. Let y = n - -71. Does 12 divide y? True Let l be 2 + 125 - (-11)/11. Does 36 divide ((-80)/(-32))/(2/l)? False Suppose -5*c = 3*s - 1359, -632 = -2*c + s - 84. Is c a multiple of 7? True Suppose 0 = 3*q + 62 + 130. Let o be (-4)/12 + q/(-12). Does 6 divide 4 + o/(5/16)? False Suppose -2*l + 5 = o, 2*o = 2*l - l + 5. Does 13 divide ((-79)/(-2))/(o/12)? False Suppose 0*b = 4*b - 4. Let x be (204/(-16))/b*-24. Suppose 0 = -6*w - 54 + x. Is w a multiple of 21? True Let f(m) = -9*m**3 + m**2 - m - 4. Let c be f(-2). Suppose 0 = -2*r + 3*t + 70, 10*r - 12*r + c = -5*t. Is r a multiple of 5? False Is 13 a factor of 642/((-4)/((-32)/12))? False Let i(v) = 3*v**2 - 15*v + 16. Does 96 divide i(26)? False Let q = 1065 + 895. Is q a multiple of 20? True Let w(t) = t**2 + 16. Let r be w(0). Suppose 3*u + u + r = 0. Is 14 a factor of (138/9)/(u/(-6))? False Let k(w) = -w**2 + 18*w - 12. Let p be k(17). Let c be ((-8)/p)/((-20)/500). Let y = 72 - c. Is y a multiple of 16? True Suppose -5*l = -4 - 6. Suppose l*o = 5*c + 18, 4 = 4*o - 2*c - 0*c. Is (75/12 + o)*4 a multiple of 14? False Is 13 a factor of (-12)/(-4) - (1 + -801)/2? True Let n = 10 - 10. Let f = -2 + n. Let x = 20 - f. Is x a multiple of 22? True Let h = -26 + 29. Suppose h*k + 5*b - 653 + 175 = 0, k - 2*b - 152 = 0. Is 28 a factor of k? False Is 615/20 - 11/(-44) a multiple of 30? False Let u(n) = 50*n + 251. Does 55 divide u(13)? False Let m(b) = -3*b**2 + 32*b + 19. Let w(y) = -7*y**2 + 65*y + 39. Let j(q) = -9*m(q) + 4*w(q). Does 4 divide j(-27)? True Does 32 divide -2*(-17385)/70 + (-4)/(-14)? False Let x(i) = -14*i + 5. Let a = 3 + -4. Is 5 a factor of x(a)? False Let f be (-13)/2 - (-3)/6. Let h(a) = a**3 + 11*a**2 - 2*a - 10. Let v(y) = -y**3 - 12*y**2 + 2*y + 11. Let d(m) = 6*h(m) + 5*v(m). Is 4 a factor of d(f)? False Is 31 a factor of ((-27576)/12 - -11)/(-1)? False Suppose -12*k = -15*k + 321. Is k a multiple of 13? False Suppose -2170 = 9*h - 802. Let v = -74 - h. Is 18 a factor of v? False Suppose 4*k + 2 = 58. Suppose -12*g - 194 = -k*g. Is g a multiple of 13? False Let v be 2*-3*10/(-12). Suppose -t - u + 7 = t, 13 = v*t + u. Is (-88)/10*(t - 7) a multiple of 17? False Suppose -6*j = -2*j + 4. Let r = 4 + j. Suppose -4*o - 12 = g - 3, -g - 2*o = r. Is g a multiple of 3? True Let h(t) = t**2 + 16*t + 25. Let k be h(-14). Is 6 a factor of 12/(-8)*16/k? False Is 16 a factor of -1*(-6)/(-8)*(-2 + -62)? True Let c be (-12)/15*(-60)/(-2). Let f = c - -103. Is 18 a factor of f? False Suppose 5 = -5*b, -4*b + 21 = -3*u + 7. Does 10 divide (-2 - 12/(-8))*u - -67? True Let w(s) = -4*s**3 + 31*s**2 - 16*s - 7. Let n be w(7). Suppose -5*x - 36 = -3*x - 2*u, -3*x - 56 = -2*u. Let q = n - x. Is 10 a factor of q? False Let b = -60 + 63. Suppose j - 4 = -3*j - 4*x, j - 16 = 4*x. Suppose 92 = 2*z - j*o, 0*o - b*o - 179 = -4*z. Does 11 divide z? True Suppose -75*x - 1080 = -87*x. Is 6 a factor of x? True Let x(n) = -n**3 - n**2 + n + 2. Let i be x(-2). Suppose i*j + 25 = 5. Let q = j + 19. Is q a multiple of 14? True Suppose 5*s - 704 - 141 = 0. Suppose 168 = 4*f + 4*p, 4*f - 3*p + 1 - s = 0. Is f a multiple of 7? True Let w be ((-3)/(-2) - 2)*-482. Let g = w - 166. Is g a multiple of 13? False Let a = -229 - -237. Is 8 a factor of a? True Let t(q) = 4*q + 10. Let f be t(-9). Let h be (-4 - -69)*f/(-10). Let u = -91 + h. Is u a multiple of 13? True Let x = -2 + 45. Let w = x + -23. Is w a multiple of 4? True Let x = 87 + -93. Is 20 a factor of (-957)/x + 0 + (-2)/4? False Let x(l) = 9*l**3 - 9*l**2 + l + 14. Let m(j) = -5*j**2 + 2 + j**3 + 5 + 4*j**3. Let v(s) = -11*m(s) + 6*x(s). Is 12 a factor of v(-3)? False Let o(y) = -y**2 - y + 1. Let b be o(0). Suppose 2*d - c - 145 = 0, 4*c + b + 3 = 0. Is d a multiple of 10? False Let c(g) be the second derivative of -g**3 - 6*g**2 - g. Let w be c(-9). Let n = 2 + w. Is 22 a factor of n? True Let o = 72 + 65. Suppose -x - o = -4*g, -4*x = 4*g + 84 - 21
{ "pile_set_name": "DM Mathematics" }
ore 7:37 PM? 2:14 PM How many minutes are there between 10:54 AM and 12:51 PM? 117 How many minutes are there between 8:08 PM and 6:51 AM? 643 What is 524 minutes before 10:41 AM? 1:57 AM What is 429 minutes after 9:15 AM? 4:24 PM What is 620 minutes after 11:01 AM? 9:21 PM What is 195 minutes after 4:26 PM? 7:41 PM How many minutes are there between 12:51 AM and 11:58 AM? 667 What is 195 minutes after 2:04 AM? 5:19 AM How many minutes are there between 7:31 AM and 3:47 PM? 496 How many minutes are there between 2:29 AM and 5:24 AM? 175 How many minutes are there between 7:29 PM and 8:13 PM? 44 How many minutes are there between 6:17 PM and 8:01 PM? 104 How many minutes are there between 4:14 AM and 2:31 PM? 617 How many minutes are there between 7:52 AM and 5:40 PM? 588 How many minutes are there between 4:20 AM and 11:48 AM? 448 How many minutes are there between 4:41 AM and 11:44 AM? 423 What is 20 minutes before 6:19 PM? 5:59 PM What is 88 minutes before 2:43 PM? 1:15 PM What is 710 minutes after 11:49 PM? 11:39 AM How many minutes are there between 7:10 PM and 9:34 PM? 144 What is 153 minutes before 7:20 AM? 4:47 AM How many minutes are there between 10:09 PM and 8:19 AM? 610 What is 310 minutes after 2:19 PM? 7:29 PM How many minutes are there between 2:01 PM and 11:50 PM? 589 How many minutes are there between 9:32 AM and 10:07 AM? 35 What is 570 minutes before 3:26 PM? 5:56 AM What is 462 minutes before 10:39 AM? 2:57 AM How many minutes are there between 1:58 PM and 7:19 PM? 321 How many minutes are there between 9:41 AM and 2:33 PM? 292 What is 586 minutes after 7:23 PM? 5:09 AM What is 453 minutes after 10:02 AM? 5:35 PM What is 401 minutes after 9:39 PM? 4:20 AM How many minutes are there between 5:20 PM and 7:07 PM? 107 How many minutes are there between 4:32 AM and 1:18 PM? 526 How many minutes are there between 2:27 PM and 9:23 PM? 416 What is 547 minutes after 10:25 PM? 7:32 AM What is 624 minutes before 10:43 AM? 12:19 AM How many minutes are there between 9:12 AM and 4:10 PM? 418 How many minutes are there between 12:28 AM and 8:14 AM? 466 What is 414 minutes after 4:36 AM? 11:30 AM What is 687 minutes before 4:12 AM? 4:45 PM What is 332 minutes before 9:41 AM? 4:09 AM How many minutes are there between 5:11 PM and 7:08 PM? 117 How many minutes are there between 6:25 AM and 2:37 PM? 492 How many minutes are there between 12:15 AM and 1:07 AM? 52 What is 599 minutes after 10:11 PM? 8:10 AM What is 181 minutes before 8:16 PM? 5:15 PM What is 410 minutes after 5:42 PM? 12:32 AM How many minutes are there between 4:37 PM and 4:24 AM? 707 What is 331 minutes after 7:31 PM? 1:02 AM How many minutes are there between 6:25 PM and 7:01 PM? 36 How many minutes are there between 10:55 PM and 10:35 AM? 700 What is 115 minutes before 4:01 AM? 2:06 AM How many minutes are there between 3:49 AM and 9:26 AM? 337 How many minutes are there between 9:19 AM and 3:00 PM? 341 How many minutes are there between 12:35 AM and 2:06 AM? 91 How many minutes are there between 10:00 AM and 2:26 PM? 266 How many minutes are there between 12:15 PM and 7:09 PM? 414 How many minutes are there between 11:46 PM and 8:44 AM? 538 How many minutes are there between 8:37 PM and 7:07 AM? 630 How many minutes are there between 7:57 PM and 9:38 PM? 101 How many minutes are there between 10:45 PM and 4:57 AM? 372 How many minutes are there between 10:14 AM and 9:23 PM? 669 How many minutes are there between 1:15 AM and 3:37 AM? 142 What is 265 minutes after 9:49 PM? 2:14 AM How many minutes are there between 3:27 PM and 10:27 PM? 420 What is 155 minutes after 3:19 AM? 5:54 AM How many minutes are there between 1:10 AM and 10:13 AM? 543 How many minutes are there between 2:06 AM and 7:29 AM? 323 How many minutes are there between 8:58 AM and 8:10 PM? 672 What is 115 minutes before 2:59 AM? 1:04 AM What is 101 minutes before 2:15 PM? 12:34 PM What is 663 minutes after 5:08 PM? 4:11 AM What is 386 minutes after 9:09 PM? 3:35 AM What is 359 minutes before 3:27 AM? 9:28 PM What is 421 minutes before 10:24 PM? 3:23 PM How many minutes are there between 11:59 AM and 3:21 PM? 202 What is 589 minutes before 12:22 AM? 2:33 PM How many minutes are there between 11:49 PM and 8:41 AM? 532 How many minutes are there between 5:43 AM and 7:12 AM? 89 How many minutes are there between 7:09 AM and 10:40 AM? 211 What is 419 minutes after 8:37 PM? 3:36 AM What is 408 minutes before 9:47 PM? 2:59 PM What is 573 minutes before 8:07 AM? 10:34 PM What is 332 minutes after 9:39 AM? 3:11 PM What is 710 minutes after 10:44 PM? 10:34 AM How many minutes are there between 8:32 AM and 11:36 AM? 184 How many minutes are there between 8:01 AM and 12:12 PM? 251 What is 252 minutes after 2:20 AM? 6:32 AM What is 675 minutes before 6:14 AM? 6:59 PM What is 492 minutes after 11:57 AM? 8:09 PM How many minutes are there between 1:11 PM and 7:17 PM? 366 How many minutes are there between 3:31 PM and 12:50 AM? 559 What is 14 minutes after 4:43 PM? 4:57 PM What is 624 minutes after 12:58 PM? 11:22 PM What is 102 minutes after 6:39 AM? 8:21 AM How many minutes are there between 10:24 PM and 2:49 AM? 265 How many minutes are there between 6:50 PM and 2:24 AM? 454 What is 96 minutes before 11:01 PM? 9:25 PM What is 641 minutes before 3:09 PM? 4:28 AM What is 279 minutes before 3:55 PM? 11:16 AM How many minutes are there between 4:15 PM and 3:02 AM? 647 How many minutes are there between 11:46 PM and 9:05 AM? 559 How many minutes are there between 10:49 AM and 11:00 AM? 11 What is 589 minutes after 12:45 PM? 10:34 PM How many minutes are there between 2:21 AM and 10:03 AM? 462 How many minutes are there between 11:54 AM and 3:25 PM? 211 How many minutes are there between 1:33 PM and 10:23 PM? 530 What is 628 minutes before 9:45 PM? 11:17 AM What is 292 minutes before 10:42 PM? 5:50 PM What is 647 minutes after 9:33 AM? 8:20 PM How many minutes are there between 7:56 AM and 7:58 AM? 2 How many minutes are there between 7:53 PM and 1:14 AM? 321 What is 286 minutes before 1:48 AM? 9:02 PM What is 128 minutes before 1:39 PM? 11:31 AM What is 155 minutes before 9:21 AM? 6:46 AM What is 172 minutes after 6:13 PM? 9:05 PM What is 286 minutes before 8:20 AM? 3:34 AM What is 627 minutes before 12:56 PM? 2:29 AM How many minutes are there between 4:51 AM and 11:37 AM? 406 How many minutes are there between 9:10 PM and 6:09 AM? 539 How many minutes are there between 1:37 AM and 1:31 PM? 714 How many minutes are there between 6:12 PM and 5:30 AM? 678 How many minutes are there between 11:32 PM and 9:37 AM? 605 How many minutes are there between 12:31 AM and 11:23 AM? 652 How many minutes are there between 5:06 PM and 3:45 AM? 639 What is 207 minutes after 5:46 AM? 9:13 AM How many minutes are there between 3:40 AM and 10:14 AM? 394 How many minutes are there between 4:28 AM and 4:05 PM? 697 What is 111 minutes before 8:01 AM? 6:10 AM What is 535 minutes after 11:35 AM? 8:30 PM How many minutes are there between 1:23 AM and 7:49 AM? 386 What is 662 minutes after 11:59 PM? 11:01 AM What is 470 minutes after 11:11 AM? 7:01 PM What is 618 minutes after 8:54 PM? 7:12 AM How many minutes are there between 12:22 AM and 1:31 AM? 69 How many minutes are there between 7:50 AM and 9:53 AM? 123 What is 628 minutes before 9:52 AM? 11:24 PM What is 662 minutes after 12:13 AM? 11:15 AM What is 12 minutes before 11:46 PM? 11:34 PM How many minutes are there between 11:28 PM and 5:56 AM? 388 How many minutes are there between 3:42 PM and 5:52 PM? 130 How many minutes are there between 8:17 AM and 2:17 PM? 360 What is 589 minutes before 2:22 PM? 4:33 AM What is 630 minutes before 10:42 PM? 12:12 PM What is 44 minutes before 12:28 PM? 11:44 AM How many minutes are there between 12:45 AM and 4:14 AM? 209 What is 296 minutes after 8:15 PM? 1:11 AM What is 102 minutes before 6:43 AM? 5:01 AM What is 528 minutes after 1:25 PM? 10:13 PM What is 453 minutes after 4:50 AM? 12:23 PM What is 699 minutes after 2:48 AM? 2:27 PM What is 292 minutes before 9:27 PM? 4:35 PM How many minutes are there between 12:37 AM and 7:36 AM? 419 What is 605 minutes after 1:02 AM? 11:07 AM What is 175 minutes after 2:41 AM? 5:36 AM How many minutes are there bet
{ "pile_set_name": "DM Mathematics" }
o(p(v)). 14*v Let y(z) be the second derivative of -3*z**5/20 - z**2/2 + 2*z. Let q(v) be the first derivative of y(v). Let n(p) = 2*p**2. Calculate n(q(f)). 162*f**4 Let a(i) = -5*i. Suppose 2 = 3*n - z - z, 5*n = -4*z + 18. Let k(s) = 5*s - 7*s + n*s**2 + 2*s. Determine k(a(d)). 50*d**2 Let v(i) = 14*i**2. Let d(g) be the first derivative of -g**2 - 25. Determine d(v(h)). -28*h**2 Let n(b) = 2*b**2. Suppose 0 = -5*i + t + 25, -i + 4 = 2*t - 1. Let p be i/(1 - 0) - 3. Let o(m) = 2 - p - m. Determine o(n(s)). -2*s**2 Let q(h) = -5*h**2. Let i(w) = 2*w**2. Let n(m) = -2*m**2. Let d(r) = 2*i(r) + 3*n(r). Give q(d(a)). -20*a**4 Let a(y) be the second derivative of y**3/3 - 4*y. Let w(k) be the first derivative of k + k**2 - k - 1. Calculate w(a(x)). 4*x Let y(g) = -2*g**2. Let a(d) = -61*d + 25. Determine y(a(z)). -7442*z**2 + 6100*z - 1250 Let w(d) = 3*d - 98. Let x(u) = 10*u**2. What is x(w(n))? 90*n**2 - 5880*n + 96040 Let d(p) = -p**2. Let j = -13 + 15. Let y(i) = 11*i**2 - 8*i**2 - 9*i**j. Give y(d(q)). -6*q**4 Let h(k) = 7*k. Let s(q) = -14*q**2. Calculate h(s(p)). -98*p**2 Let c(z) = -5*z. Let n(l) = 849*l**2. Give c(n(p)). -4245*p**2 Let j(y) be the third derivative of -5*y**4/24 - 12*y**2. Let l(n) = n - 2. Let h(b) = 9*b - 21. Let w(d) = 2*h(d) - 21*l(d). Give j(w(g)). 15*g Let w(t) = -3*t - 6. Let m(d) = -8*d - 17. Let a(q) = 6*m(q) - 17*w(q). Let x(r) = 10*r**2. Determine x(a(o)). 90*o**2 Let t(j) = -1744*j. Let n(r) = -6*r. What is n(t(p))? 10464*p Let m(z) = 5*z + 2. Let k(b) = -9*b + 16*b + 11*b + 3*b + 9. Let s(l) = -2*k(l) + 9*m(l). Let f(v) = -v**2. Calculate s(f(x)). -3*x**2 Let i(d) = -2*d + 7*d + d. Let u(k) be the first derivative of -k**3/3 - 1. Determine u(i(p)). -36*p**2 Let o(t) = -t - 1. Let r be o(-1). Let y(l) = r*l - l + 4*l - 6*l. Let w(c) = -7*c**2. What is y(w(s))? 21*s**2 Let y(a) = 5*a. Let d(q) be the second derivative of -1/3*q**3 + q + 0 + 0*q**2. Determine d(y(m)). -10*m Let k(u) = -1. Let a(s) = s - 1. Let h(o) = -a(o) + k(o). Let w(n) = 24 - 51 + 2*n + 27. Give w(h(p)). -2*p Let y = 17 - 11. Let o(d) = d - 1. Let x(a) = 2*a - 5. Let p(g) = -g + 2. Let q(r) = 8*p(r) + 3*x(r). Let u(b) = y*o(b) + 6*q(b). Let t(f) = -2*f. Give u(t(c)). 12*c Let c(h) = 4*h**2 + 4*h**2 + 5*h**2 - 2*h**2. Let x(k) = k**2. What is x(c(j))? 121*j**4 Suppose 3*w + 2*p - 3 - 1 = 0, 4 = -4*p. Let x(z) = -z + z - z**w + 0*z**2. Let n(v) = -3*v**2. Determine x(n(h)). -9*h**4 Let m = 5 - 4. Let b(a) = m + a - 1 - 3*a. Let w(v) be the first derivative of v**2 - 1. Determine w(b(t)). -4*t Let w(l) = -l. Let a = -5 - 2. Let s = -4 - a. Let z(t) = 0*t + s*t - t. Calculate z(w(u)). -2*u Suppose 0 = 4*f - 10 + 2. Let a(l) = 3*l**f - 8 + 8. Let z(o) = -2*o**2. Give z(a(p)). -18*p**4 Let f(b) = -42*b + 81*b - 40*b. Let d(i) be the second derivative of i**4/4 - i**2/2 - i. Let g(h) be the first derivative of d(h). What is f(g(v))? -6*v Let y(i) = -i + 7*i**2 + i. Let v(z) be the first derivative of z**2 - 192. Determine y(v(c)). 28*c**2 Let d(a) = -a - 4. Let m be d(-10). Suppose -3*t - 5*v = 4, 2*t - m*t + 6 = v. Let g(j) = t*j - 6*j + 3*j. Let o(x) = 2*x**2. Give g(o(c)). -2*c**2 Let o(y) = -4*y**2 + 4*y**2 - 6*y**2 - y**2. Let b(f) = 8*f**2. Determine o(b(k)). -448*k**4 Let n(p) = 6*p. Let d(o) = -10*o**2. What is n(d(z))? -60*z**2 Let t(b) = b**2. Let g(f) = 1. Let s(u) = 1 - 2 + u - 1. Suppose -4*a - 3*v + 6 = -15, 2*v - 12 = -2*a. Let n(k) = a*s(k) + 6*g(k). Give n(t(o)). 3*o**2 Let t(j) = -2*j**2. Let r(x) = 2*x + 16 - 16. What is t(r(y))? -8*y**2 Let x(m) = -4*m - 2*m - 9*m. Let j(i) be the third derivative of i**5/30 + 2*i**2. Give j(x(v)). 450*v**2 Suppose -4*z + 10 = -14. Let m(y) = -z*y**2 + 0*y**2 + y**2. Let c(b) = -b. Calculate c(m(f)). 5*f**2 Let m(w) = -7*w. Let t(a) = a. Let n(o) = -m(o) - 6*t(o). Let y(k) = 6*k**2. Give y(n(g)). 6*g**2 Let a(f) = f**2. Let l(b) = -117 + 253 + b - 117. Give a(l(i)). i**2 + 38*i + 361 Let q(u) = -2*u. Let h be (1 - 1)/((-2)/(-1)). Suppose -3*v = -2*t - 10, 3*t + 2 = 3*v - 13. Let a(o) = -o**2 + v*o + h*o. What is q(a(g))? 2*g**2 Suppose -11*q + 8*q + 6 = 0. Let f(n) = 4*n + 2*n - 2*n - q*n. Let v(x) be the third derivative of -x**4/4 - x**2. What is v(f(j))? -12*j Let y(i) = i**2. Let b(g) = 37*g - 2. Give y(b(p)). 1369*p**2 - 148*p + 4 Let j(o) = -6*o**2 - o**2 + 3*o**2. Let g(v) = v**2. Determine j(g(f)). -4*f**4 Suppose 0 = -4*k + 3*k + 5. Let z(b) = b + 3 + 3*b - k*b - 2. Let g(m) = -6*m + 5. Let t(p) = -g(p) + 5*z(p). Let l(c) = 2*c. Give t(l(v)). 2*v Let i(u) = 4*u**2. Let q(n) = -4*n**2 + 3*n - 3. Let s(g) = 5*g**2 - 4*g + 4. Let o(r) = 4*q(r) + 3*s(r). Calculate o(i(c)). -16*c**4 Let h(j) = 6*j + 8. Let l(z) = -4*z - 5. Let x(i) = 5*h(i) + 8*l(i). Let r(c) = 3*c - 2*c + 0*c. Calculate x(r(k)). -2*k Let a(d) be the second derivative of -5*d**4/12 + 3*d. Let m(g) = g**2. Give a(m(s)). -5*s**4 Let o(n) = 3*n**2. Let k(v) be the third derivative of -v**4/12 - 4*v**2. Give o(k(d)). 12*d**2 Let f(p) be the second derivative of p**3/3 + 2*p. Let v(y) = 11*y. Calculate v(f(s)). 22*s Let l(d) = -d**2. Suppose -4 + 0 = -3*r + 5*u, -10 = r + 4*u. Let k(v) = 3*v + 5. Let h(g) = -g - 2. Let t(s) = r*k(s) - 5*h(s). Determine l(t(z)). -z**2 Let z(o) = -3*o. Let a be -6*(147/18)/(-7). Let m(d) = -3*d - d + a*d. Calculate m(z(v)). -9*v Let w be 1 - ((-3)/1 - -1). Let x(s) = 2*s - 1. Let g be x(w). Let h(r) = -g*r + 4*r + 0*r. Let u(m) = -m. Calculate h(u(y)). y Let m(f) = -4*f**2. Let r be 2/6*(-1 + 7). Suppose 0 = r*c - 0 - 2. Let h(g) = -g**2 + c - 1. Determine m(h(n)). -4*n**4 Let j(t) = -36*t**2 - t. Let q(u) = 7*u**2. Calculate q(j(p)). 9072*p**4 + 504*p**3 + 7*p**2 Let v(f) = 4*f. Let x(t) = -36*t - 15. Let a(h) = -5*h - 2. Let r(m) = 15*a(m) - 2*x(m). Give r(v(w)). -12*w Let v be 1*(-3 + 3 - -5). Let n(u) = 2*u**2 - v*u**2 + 2*u**2. Let r(j) = j**2. Calculate n(r(t)). -t**4 Let u(j) = -2*j. Let s(f) = -3*f - 4. Let t be s(4). Let y = -10 - t. Let h(z) = 0*z**2 + y*z**2 + 0*z**2. Determine u(h(n)). -12*n**2 Let n(x) = -2*x. Let c(l) = 34419*l**2. Give c(n(s)). 137676*s**2 Let w(m) = 4*m. Let a(p) = -3*p**2 - 6 + 3 + 3. What is a(w(l))? -48*l**2 Let s(c) = -c. Let h(d) = 120*d. Calculate h(s(y)). -120*y Let r(o) = 1. Let z(x) = -24*x - 108. Let s(f) = 216*r(f) + 2*z(f). Let i(k) = 2*k**2. What is i(s(t))? 4608*t**2 Let z(u) = -5*u. Let t(c) = 9*c**2 + 9*c**2 - 15*c**2. What is t(z(o))? 75*o**2 Let c(k) = k**2 + 3*k + 3. Let v(i) = 2*i**2 + 5*i + 5. Let t be (-3)/((-6)/4) - -4. Let u(r) = t*v(r) - 10*c(r). Let w(y) = -y**2. What is u(w(s))? 2*s**4 Let s(z) = 2*z**2 + 2*z - 2. Let y be s(-2). Let n(t) = -y*t - t + 3*t - t. Let b(a) = -2*a**2. Calculate b(n(j)). -2*j**2 Let y(u) be the second derivative of -u - 1/2*u**3 + 0*u**2 + 0. Let v(h) = -h**2. Calculate v(y(t)). -9*t**2 Let f(x) = -x. Let k(s) = 133*s - 4. Let l(q) = 48678*q - 1463. Let a(o) = 1463*k(o) - 4*l(o). Give a(f(g)). 133*g Let n(s) be the second derivative of -s**4/4 - 5*s. Suppose 0 = -q + 3*q - 4. Let b(h) = -2*h**2 + 3*h**2 + 0*h**q. Calculate b(n(m)). 9*m**4 Let w(y) = 25*y. Let q(z) = -5*z**2 + 2*z**2 + z**2 + 4*z**2. Give w(q(j)). 50*j**2 Let o(a) = 2*a. Let z(h) = -h**2 + 3*h**2 - 37 + 45*h - 45*h. Determine z(o(v)). 8*v**2 - 37 Let l(x) = 2*x. Let b(v) = 128*v - 3. Give b(l(c)). 256*c - 3 Let t(a) = -a - 20. Let r(j) = j. Calculate r(t(p)). -p - 20 Let d(z) = 2*z**2. Let q(n) be the first derivative of 4*n**3/3 - 4. Calculate q(d(r)). 16*r**4 Let f(t) = -t. Let r = -3 - -2. Let k = r + 4. Let u(y) = y. Let n(j) = k*u(j) + 4*f(j). Let d(g) = g**2. Give n(d(p)). -p**2 Let z(b) be the third derivative of b**4/24 + b**2. Let y(u) = -u + 2 - 2. Give z(y(n)). -n Let y(i) = -2*i. Let h(x) = 2 - 2 + 15*x**2 - x**2. Give h(y(a)). 56*a**2 Let w(o) be the first derivative of 0*o**2 + 3 + 0*o - 1/3*o**3. Let k(j) be the first derivative of j**2 - 1. Determine k(w(p)). -2*p**2 Let n(d) = -d + 3*d + 0*d. Let f(j) = -2*j. Determine n(f(u)). -4*u Let x(n) = -n**2. Let z(k) = -994*k**2. Give z(x(b)). -994*b**4 Let f(n) = 2*n. Let w(i) = 9*i - 6. Let r(m) = -50*m + 35. Let a(b) = 7*b - 5. Let u(x) = 20*a(x) + 3*r(x). Let t(y) = -6*u(y) - 5*w(y). Give t(f(d)). 30*d Let v(b) be the second derivative of -b**4/2 + 2*b. Let c(q) = -2*q**2 + 2*q
{ "pile_set_name": "DM Mathematics" }
Solve 4*j**3/5 + 2556*j**2/5 - 24088*j/5 - 98496 = 0 for j. -648, -10, 19 What is o in -2*o**3/13 + 12*o**2/13 + 512*o/13 - 3072/13 = 0? -16, 6, 16 Factor 5*n**3 + 750*n**2 - 22580*n - 295800. 5*(n - 34)*(n + 10)*(n + 174) Find m such that m**3/11 - 249*m**2/11 + 2415*m/11 - 5975/11 = 0. 5, 239 Determine b so that -2*b**5 - 32*b**4/7 + 6446*b**3/7 + 8312*b**2/7 + 264*b = 0. -22, -1, -2/7, 0, 21 Suppose 2*j**3/7 + 198*j**2/7 + 3040*j/7 = 0. What is j? -80, -19, 0 Find r such that r**2 - 11461*r + 45828 = 0. 4, 11457 Factor -2*u**4/7 + 511422*u**3/7 - 32693802048*u**2/7 - 32694313472*u/7. -2*u*(u - 127856)**2*(u + 1)/7 What is s in -12*s**3 + 290546*s**2 - 1758711256*s + 293110472 = 0? 1/6, 12106 Suppose -2*f**3 + 790*f**2 + 34882*f - 35670 = 0. Calculate f. -41, 1, 435 Let -a**3 + 3781*a**2 + 11350*a + 7568 = 0. What is a? -2, -1, 3784 Factor -m**2 - 49354*m - 608954329. -(m + 24677)**2 Let 6*m**3/11 - 6*m**2 - 1926*m/11 + 6210/11 = 0. What is m? -15, 3, 23 Factor -5*y**2 - 459410*y - 10552877405. -5*(y + 45941)**2 Factor -w**3/8 - 33*w**2/2 + 12091*w/8 + 6111/4. -(w - 63)*(w + 1)*(w + 194)/8 Factor -b**5 - 85*b**4 - 79*b**3 + 417*b**2 - 252*b. -b*(b - 1)**2*(b + 3)*(b + 84) Suppose 4*f**2 + 181204*f - 181208 = 0. Calculate f. -45302, 1 Determine y so that -3*y**5/2 - 3447*y**4 + 110811*y**3/2 - 301707*y**2 + 624618*y - 374868 = 0. -2314, 1, 3, 6 Solve -5*u**2 - 40820*u - 285495 = 0 for u. -8157, -7 Factor -214*c**2 + 77253*c + 361. -(c - 361)*(214*c + 1) Factor 4*i**2 - 372*i + 2088. 4*(i - 87)*(i - 6) Suppose -k**3/4 + 83*k**2 + 1024*k + 2752 = 0. Calculate k. -8, -4, 344 What is r in 2*r**3/5 + 124*r**2 + 39746*r/5 - 1338672/5 = 0? -167, 24 Factor 2*f**3 + 128*f**2 + 970*f - 1100. 2*(f - 1)*(f + 10)*(f + 55) Suppose v**3/7 + 333*v**2/7 - v/7 - 333/7 = 0. Calculate v. -333, -1, 1 Suppose -i**2 + 366*i + 17587 = 0. Calculate i. -43, 409 Find k such that -52*k**3/7 + 1772*k**2/7 - 9964*k/7 + 108 = 0. 1/13, 7, 27 Factor 4*c**3 + 13536*c**2 + 11478480*c + 45697600. 4*(c + 4)*(c + 1690)**2 Factor -284*v**4 + 25288*v**3 - 1068*v**2. -4*v**2*(v - 89)*(71*v - 3) Let -21*o**4 + 614025*o**3 - 175434*o**2 = 0. What is o? 0, 2/7, 29239 Solve 2*h**5/15 + 1742*h**4/5 - 5246*h**3/15 - 47074*h**2/15 - 19172*h/5 - 20912/15 = 0. -2614, -1, 4 Find a such that -2*a**4/7 - 20*a**3/7 + 40*a**2/7 + 180*a/7 - 198/7 = 0. -11, -3, 1, 3 Let 3*t**5 + 51*t**4 + 270*t**3 + 324*t**2 - 648*t = 0. What is t? -6, 0, 1 Factor 35*d**2 + 39400*d - 11260. 5*(d + 1126)*(7*d - 2) Suppose g**4/8 - 497*g**3/8 + 44425*g**2/8 - 1041975*g/8 - 1769625/4 = 0. What is g? -3, 55, 390 Factor 31752*t**2 - 21000*t + 31250/9. 2*(378*t - 125)**2/9 Suppose -3*v**2/5 + 135273*v/5 + 405846/5 = 0. What is v? -3, 45094 Find o, given that 3*o**3/7 + 276*o**2 + 15285*o/7 + 1908 = 0. -636, -7, -1 Find c such that c**4/6 - 135*c**3/2 + 20293*c**2/2 - 4032847*c/6 + 16578562 = 0. 91, 132 Suppose -3*s**5/7 - 240*s**4 + 25800*s**3/7 - 43170*s**2/7 - 25797*s/7 + 44850/7 = 0. Calculate s. -575, -1, 1, 2, 13 What is c in -3*c**3 - 216*c**2 + 279*c + 4380 = 0? -73, -4, 5 Determine u, given that -289*u**3/9 - 1717*u**2/3 - 3192*u - 5292 = 0. -126/17, -3 Factor 2*w**4/3 + 124948*w**3/3 + 249890*w**2/3 + 41648*w. 2*w*(w + 1)**2*(w + 62472)/3 Solve 5*x**5 - 490*x**4 - 4120*x**3 - 12560*x**2 - 16880*x - 8480 = 0. -2, 106 Find j such that -2*j**3/9 + 14072*j**2/9 - 24766714*j/9 + 49477156/9 = 0. 2, 3517 Factor a**3/3 - 1517*a**2/3 - 3038*a/3. a*(a - 1519)*(a + 2)/3 Factor b**3/4 - 8*b**2 - 80*b. b*(b - 40)*(b + 8)/4 What is v in -3*v**5 + 27*v**4 + 54*v**3 - 582*v**2 - 819*v + 1323 = 0? -3, 1, 7 Factor 4*k**3/3 + 452*k**2/3 - 620*k + 468. 4*(k - 3)*(k - 1)*(k + 117)/3 Factor -3*h**2 + 267669*h. -3*h*(h - 89223) Find q, given that 2*q**4/11 - 100*q**3/11 - 1374*q**2/11 + 1312*q/11 + 39040/11 = 0. -8, 5, 61 Find l such that -3*l**2/2 - 23124*l - 89119896 = 0. -7708 Factor 5*d**3/2 + 1985*d**2 - 36245*d/2 - 44165. 5*(d - 11)*(d + 2)*(d + 803)/2 Factor u**5/6 - u**4/6 - 24*u**3 + 404*u**2/3 - 776*u/3 + 168. (u - 9)*(u - 2)**3*(u + 14)/6 Determine r so that r**2/10 - 8129*r/10 = 0. 0, 8129 Factor 2*f**3 + 8716*f**2. 2*f**2*(f + 4358) Determine p so that p**5/2 - 5*p**4 + 15*p**3/2 + 5*p**2 - 8*p = 0. -1, 0, 1, 2, 8 Let 12*n**5 - 1433*n**4 + 43776*n**3 - 58934*n**2 - 7788*n + 24367 = 0. What is n? -7/12, 1, 59 Determine f so that -f**5 + 50*f**4 - 271*f**3 + 302*f**2 + 272*f - 352 = 0. -1, 1, 2, 4, 44 Factor -2*g**4 + 1772*g**3 - 193106*g**2 - 88330656*g - 4969646208. -2*(g - 536)**2*(g + 93)**2 Suppose 125*f**4 + 25950*f**3 + 88605*f**2 - 130601160*f + 3166134480 = 0. What is f? -699/5, 36 Solve -5*p**5 - 2590*p**4 - 132205*p**3 - 378560*p**2 - 248940*p = 0. -461, -54, -2, -1, 0 Determine j so that 3*j**4 - 2634*j**3 - 18600*j**2 + 13050*j + 199125 = 0. -5, 3, 885 Factor -2*m**3 + 1486*m**2 - 16140*m + 26352. -2*(m - 732)*(m - 9)*(m - 2) Determine z so that 5*z**5/2 - 95*z**4/2 + 165*z**3 - 235*z**2 + 305*z/2 - 75/2 = 0. 1, 15 Factor 4*u**2/7 - 1080*u - 300924/7. 4*(u - 1929)*(u + 39)/7 Factor -4*i**3 - 9636*i**2 + 4*i + 9636. -4*(i - 1)*(i + 1)*(i + 2409) Find q such that q**4/6 - 233*q**3/3 + 8566*q**2 + 340097*q/3 + 628331/6 = 0. -11, -1, 239 Solve -n**5/5 - 51*n**4 - 9768*n**3/5 - 102124*n**2/5 = 0. -211, -22, 0 Factor -z**2 - 559*z - 18340. -(z + 35)*(z + 524) Let -2*p**2/17 + 7170*p/17 - 28648/17 = 0. Calculate p. 4, 3581 Solve -74729639370375*h**4 - 15352776450*h**3 - 1051380*h**2 - 24*h = 0 for h. -2/29205, 0 Determine y, given that -3*y**2 - 13032*y + 156816 = 0. -4356, 12 Solve -15*l**4/2 - 339*l**3/4 + 1197*l**2/4 - 1257*l/4 + 429/4 = 0. -143/10, 1 Suppose -v**3 - 11593*v**2 + 197354*v - 185760 = 0. Calculate v. -11610, 1, 16 Factor -6*d**3 - 3088*d**2 + 1030*d. -2*d*(d + 515)*(3*d - 1) Solve -2*s**2/3 - 172624*s/3 - 3724880672/3 = 0. -43156 Factor -2*y**2/5 - 402*y/5 + 2160. -2*(y - 24)*(y + 225)/5 Factor -2*p**3 + 852*p**2 - 115218*p + 4788640. -2*(p - 173)**2*(p - 80) Factor -15*i**2 + 4586*i - 3355. -(i - 305)*(15*i - 11) Factor u**4/4 - 4*u**3 + 93*u**2/4 - 117*u/2 + 54. (u - 6)*(u - 4)*(u - 3)**2/4 Suppose 3*c**4 + 24*c**3 - 2487*c**2 + 11784*c - 13860 = 0. Calculate c. -35, 2, 3, 22 Factor -4*b**2 - 1841816*b - 212017886116. -4*(b + 230227)**2 Solve 4*j**4 + 1172*j**3 - 92572*j**2 + 181612*j - 90216 = 0 for j. -358, 1, 63 Find f such that 2*f**4/5 - 1068*f**3/5 + 141488*f**2/5 + 295872*f/5 - 1149184/5 = 0. -4, 2, 268 Find m such that -m**4 - 1431*m**3 + 4299*m**2 - 4301*m + 1434 = 0. -1434, 1 Determine o, given that 28*o**4 - 2808*o**3 - 5828*o**2 + 4528800*o + 3236800 = 0. -35, -5/7, 68 Determine n so that 3*n**2 - 350172*n + 10218369132 = 0. 58362 Let 375*k**5 + 126006*k**4 - 506484*k**3 + 501864*k**2 + 8160*k = 0. What is k? -340, -2/125, 0, 2 Factor -k**2/7 + 279*k/7 + 16830/7. -(k - 330)*(k + 51)/7 Factor 4*z**2 - 18960*z - 209044. 4*(z - 4751)*(z + 11) Solve v**2/2 + 19692*v - 118161/2 = 0. -39387, 3 Factor -2*y**4 + 10006*y**3 - 20004*y**2. -2*y**2*(y - 5001)*(y - 2) Factor -2*q**3/5 - 152946*q**2/5 - 584796678*q + 2924136338/5. -2*(q - 1)*(q + 38237)**2/5 Factor -2*o**2/11 + 160*o/11 - 3150/11. -2*(o - 45)*(o - 35)/11 What is f in -f**3/7 - 3049*f**2/7 + 12224*f/7 + 36636/7 = 0? -3053, -2, 6 Factor -3*d**4/4 - 518307*d**3/4 - 5596776168*d**2 - 5596646592*d. -3*d*(d + 1)*(d + 86384)**2/4 Solve -2*a**3 - 21240*a**2 - 56370954*a + 112826884 = 0 for a. -5311, 2 Solve 2*l**4/19 + 1346*l**3/19 - 1350*l**2/19 - 1346*l/19 + 1348/19 = 0 for l. -674, -1, 1 Find g such that -4*g**4 - 4432*g**3 - 30852*g**2 - 26424*g = 0. -1101, -6, -1, 0 Determine a so that -2*a**3/5 - 2216*a**2/5 + 47462*a/5 + 49676/5 = 0. -1129, -1, 22 Let s**4 - 618*s**3 - 10715*s**2 - 50736*s - 40640 = 0. What is s? -8, -1, 635 Factor 12*k**2/7 - 88005*k/7 + 65997/7. 3*(k - 7333)*(4*k - 3)/7 Find x, given that 2*x**4/21 - 4742*x**3/21 - 19032*x**2/7 - 228640*x/21 - 305024/21 = 0. -4, 2383 Factor -2*f**2/17 - 546*f/17 - 10120/17. -2*(f + 20)*(f + 253)/17 Factor w**5/5 + 111*w**4/5. w**4*(w + 111)/5 Factor d**3/12 + 621*d**2 + 2483*d + 7448/3. (d + 2)**2*(d + 7448)/12 Factor -u**3 + 270*u**2 + u - 270. -(u - 270)*(u - 1)*(u + 1) Factor -3*x**3 - 3273*x**2 + 32955*x - 82575. -3*(x - 5)**2*(x + 1101) Factor 2*a**3/5 - 472*a**2/5 + 938*
{ "pile_set_name": "DM Mathematics" }
- 81 = -5*m. What are the prime factors of m? 13 Let l = 2 + 4. Let y(u) = -u + 8. Let n be y(l). Suppose -3*f + 9 = -n*f. List the prime factors of f. 3 Suppose -h = -2*j + 4, 5*j - 5*h - 20 = j. Suppose -42 = -j*b + 2*b. Let g = b - -31. List the prime factors of g. 2, 5 Let m = 32 + -15. List the prime factors of m. 17 Let x(p) = 2*p**2 + 2*p + 9. List the prime factors of x(9). 3, 7 Let b(n) = 130*n - 4. What are the prime factors of b(1)? 2, 3, 7 Let b(z) be the second derivative of -z**5/20 - z**4/4 - z**3/3 + z**2 + z. What are the prime factors of b(-2)? 2 Let a(j) = j**3 - j**2 - 8*j + 4. What are the prime factors of a(5)? 2 Let b(z) = -2*z - 6. Let v be b(-5). Suppose -2*p + 28 = 4*y, 2*p + p = v*y + 32. What are the prime factors of p? 2, 3 Suppose 0*f + f - 4*h = -8, h = -2*f - 34. Let g = -7 + 1. List the prime factors of g/4*f/3. 2 Suppose 3*s = 5*w + 206, -s - 5*w = -5 - 77. List the prime factors of s. 2, 3 Let f = 36 - 16. What are the prime factors of (0 - (-1 - 0)) + f? 3, 7 Let r(j) = 11*j**3 - 1. Suppose 2*n = 3*k - 13, 4*n = 5*k - 3*k - 22. Let h be r(k). Suppose w = 2*w - h. List the prime factors of w. 2, 5 Let c be (5/3)/((-3)/(-9)). Suppose c*s + 5 - 20 = 0. What are the prime factors of s? 3 Let m(f) = f + 1. Let d(i) be the third derivative of 3*i**4/8 + 4*i**3/3 + i**2. Let w(u) = -5*d(u) + 40*m(u). List the prime factors of w(-1). 5 Let i(q) = 5*q - 9. Let m be i(7). Suppose -60 = 4*y - 9*y. Let j = m - y. What are the prime factors of j? 2, 7 Let k(m) = m + 11. Let v be k(-6). Suppose y - v = 9. Suppose -5*b - y + 39 = 0. What are the prime factors of b? 5 What are the prime factors of ((-698)/(-10) - -1) + 8/40? 71 Let w be -1 + 1 + 7 + -2. Let r = w + 1. List the prime factors of r. 2, 3 Let h(d) be the third derivative of d**6/120 - d**3/3 - d**2. Let b be h(2). Suppose -p - 2*i = -b - 5, -2*p - i = -13. List the prime factors of p. 5 Let t(q) = -q**3 + 5*q**2 + 3*q + 3. Let y be t(5). List the prime factors of (-33)/2*(-12)/y. 11 Let x = 25 - 2. Let z = x + -2. What are the prime factors of (-122)/(-14) - (-6)/z? 3 Suppose -2 + 6 = o, -5*o + 17 = -h. Suppose h*b = b + 38. What are the prime factors of b? 19 Suppose -1 = -5*h + 14. List the prime factors of h/1 + 13/1. 2 Suppose -5*n = -2 - 18. Suppose 8 = 5*m - n*t - 20, m + 2*t = 0. Suppose -o - 39 = -m*o. List the prime factors of o. 13 Let y(h) = -h**3 + 4*h**2 - 4*h + 2. Let d be y(2). Suppose 0*k = -d*k + 8. What are the prime factors of k? 2 Let i(q) = q**3 + 7*q**2 + 3*q - 5. Let r be i(-6). Suppose 0 = k - 2*a - 8, 3*a = 4*k - r + 1. List the prime factors of (-4 + -2)*(k - 2). 2, 3 Let a(u) = -u - 1. Let b be a(-4). Suppose 3*w + 0*o - o = b, -5*w - 3*o + 19 = 0. List the prime factors of w. 2 Let l(w) = 2*w. Suppose f - 18 = 3*f. Let p(i) = -i**3 - 10*i**2 - 9*i + 5. Let k be p(f). What are the prime factors of l(k)? 2, 5 Suppose 3*y = 3*l + 51, 59 = -y + 3*y + 3*l. List the prime factors of y. 2, 11 Let a(b) = 15 + 2*b - 6*b - 16. What are the prime factors of a(-2)? 7 Suppose -o + 30 = -29. What are the prime factors of o? 59 Let s = -4 + 13. What are the prime factors of s? 3 Suppose -2*j - 2 = -10. Let n(p) = p**2 + 3*p - 4. Let h be n(-5). List the prime factors of 30/9*h/j. 5 Let g = -7 + 13. Let a be g*2*(-3)/12. Let f = a + 21. List the prime factors of f. 2, 3 Let m = 29 - 26. What are the prime factors of m? 3 Let q(b) = b + 5. What are the prime factors of q(9)? 2, 7 Suppose -4*g - 3 = 5. Let b be g - 0 - -5*1. Suppose 5*a + 4*h - 35 = 0, -6*h + b*h - 15 = 0. List the prime factors of a. 11 Let w(r) = 9*r**2 - 16*r - 9. What are the prime factors of w(7)? 2, 5 Suppose -4*r + 79 = -77. Let x be (-111)/(-39) - (-6)/r. Suppose -c - 2*z + 17 = 0, 2*c + 2*c - x*z - 35 = 0. List the prime factors of c. 11 Let z(n) = -11*n**2 - 2*n + 1. Let i be z(1). Let a(y) = -y**2 + 4*y - 4. Let l be a(3). Let r = l - i. What are the prime factors of r? 11 Let c(t) = t + 1. Let u = 2 - 2. Suppose -x + 2*y = -4, -4*y = 2*x - u*y. What are the prime factors of c(x)? 3 Suppose -23 + 183 = 5*v. List the prime factors of v. 2 Suppose 3 + 5 = 4*g. Suppose -3*w + 3 = 2*p, 2*w = -g*p + 4*p - 18. List the prime factors of 1/(-2)*p - -14. 11 Let q = -159 - -424. List the prime factors of q. 5, 53 Let z = 37 - -1. What are the prime factors of z? 2, 19 Let w = 4 - 8. Let o(i) = -i**2 - 5*i + 3. List the prime factors of o(w). 7 Let r = -60 - -168. List the prime factors of r. 2, 3 Let x be 15/(-1 + 4) - 0. Suppose x*o - 5 - 5 = 0. Suppose 2*j - 3*n = -2*n + 7, o*n = -2*j + 10. List the prime factors of j. 2 Let n(b) = 21*b + 4. List the prime factors of n(3). 67 Suppose 5*d - 645 = 6*b - 8*b, -1010 = -3*b + d. What are the prime factors of b? 5, 67 Suppose 5*o = 2*o + 99. What are the prime factors of o? 3, 11 Let u = 21 + -13. Suppose u + 2 = f. Suppose -3*b - f = -4*b - 4*s, -2*b = 2*s - 8. What are the prime factors of b? 2 Suppose 6*b = 15*b - 927. What are the prime factors of b? 103 Suppose -4*g + 4*f - 22 = -5*g, 4*g - 3*f = -7. Let h = 20 + g. List the prime factors of h. 2, 11 Let n be (-1)/(-1) - (-4 - -2). Suppose 6 - 18 = -n*z. What are the prime factors of z? 2 Suppose 3*w - 4*k + 5*k + 5 = 0, 3*k + 8 = -2*w. What are the prime factors of (0 - (-14 - w)) + 0? 13 Let s(j) = -j**3 + 6*j**2 + 4*j - 6. Let m be s(6). What are the prime factors of (m/(-4))/((-6)/32)? 2, 3 Let i(t) = t - 5. Let y be i(5). Let g be -2 + y - (-1 + 8). Let x = 17 + g. List the prime factors of x. 2 Suppose -2*t + 32 + 8 = 0. Suppose -t = -u - 0*u. What are the prime factors of u? 2, 5 Suppose k = 4*k - 30. What are the prime factors of k? 2, 5 Let p(r) = -2*r. Let w be p(5). Let k = w + 20. List the prime factors of k. 2, 5 Suppose -12*z + 292 = -8*z. Suppose -3*r + z = -47. What are the prime factors of r? 2, 5 Let a(s) = -s**3 - 2*s**2 + 8*s + 4. Let o be a(-5). Let n = 63 - o. What are the prime factors of n? 2, 3 Suppose -4*k = 2 - 14. List the prime factors of (k/2)/((-15)/(-20)). 2 What are the prime factors of -5 - (-2 + 3 - 46)? 2, 5 Suppose -l + 28 = -3. List the prime factors of l. 31 Suppose -3*z + 57 + 12 = 0. Let t = -4 + 13. Let j = z - t. What are the prime factors of j? 2, 7 Let y(v) = v - 4. Let x be y(6). Suppose 4*h = x*h + 4. What are the prime factors of h/12 + 23/6? 2 Suppose 11 = 3*z - 1. Suppose -z*b + 159 = -41. What are the prime factors of b? 2, 5 What are the prime factors of 79/(3*(-3)/(-18))? 2, 79 Suppose -37 + 149 = 7*k. What are the prime factors of k? 2 Let x(k) = 5*k + 1. Let z be x(-7). Let h = z + 15. Let g = -9 - h. List the prime factors of g. 2, 5 List the prime factors of 6123/(-26)*(-2)/3. 157 Suppose -9 + 3 = 2*u. What are the prime factors of (-2)/((-6)/57) + u? 2 Let h be 10*((-26)/(-4) - 3). Suppose 3*a = 5*d - 152, -3*d + 2*d - 4*a = -h. What are the prime factors of d? 31 Suppose -2 + 3 = r. Let y be ((-18)/(-3))/(r/(-2)). List the prime factors of y/9*(-4 - -1). 2 Suppose -q = 0, -5*r = 2*q - 158 - 52. Suppose -2 = -4*m + r. List the prime factors of m. 11 Suppose 23 = x - 62. List the prime factors of x. 5, 17 Suppose 3*v + 2*v - 10 = 0. Let r be 0/(-4*(-2)/4). Suppose r = v*i + 2*i - 32. List the prime factors of i. 2 Let z(w) = -w**2 + 7*w + 1. Let c be (5 + 0 + 0)/1. Let y(a) = -a**2 + 7*a - 4. Let v be y(c). List the prime factors of z(v). 7 Let f = -4 + 9. Let k(c) = c + 4. Let j be k(-6). Let i = f + j. What are the prime factors of i? 3 Suppose -5*u + f = 2*f + 5, -5*u = -3*f + 25. Let n = 3 - u. Let q = -1 + n. List the prime factors of q. 2 Suppose u + 39 = f, -4*f + 2*u + 3*u + 151 = 0. List the prime factors of f. 2, 11 Let v be (-2 + -1)*(-2)/(-3). What are the prime factors of 13/(-2)*v*1? 13 Suppose 3*u - 168 = 219. What are the prime factors of u? 3, 43 Suppose -7*i + 12*i = 340. List the prime factors of i. 2, 17 Suppose 0 = z - 2*z - o + 46, -2*z = o - 95. What are the prime factors of z? 7 Suppose -5*k = -2*k - 2*d - 27, 45 = 5*k + 3*d. List the prime factors of k. 3 Suppose -10*b + 6*b - 16 = 0. List the prime factors of ((-1)/3)/(b/156). 13 Let a(r) = 6*r**2 + 5*r - 3. What are the prime factors of a(2)? 31 Suppose 3*w - 2*h = -4, -3*h = -4*w - 1 - 6. Suppose 3*q + 2*n = 1, -2*n - w = 5*q + 3. List the prim
{ "pile_set_name": "DM Mathematics" }
2 = 4*p - 13. Let x = 3 - 1. Calculate the greatest common divisor of x and p. 1 Suppose 4*y - 3*y + 1 = 2*k, y - 1 = k. Let x = 11 - k. Let p(b) = -2*b - 2. Let d be p(-10). What is the greatest common divisor of x and d? 9 Suppose -3*v = -v - 352. Let g = v + -104. What is the greatest common divisor of 18 and g? 18 Suppose 2*r = -2*s + 56, -55 = -5*r + 5*s + 55. What is the greatest common divisor of r and 200? 25 Suppose 0 = -0*m + 4*m - 16. Let t be 2*2/m + 8. What is the highest common divisor of t and 36? 9 Suppose 0 = l + 1. Let c = l - -6. Let t(o) = 45*o**2 - o - 1. Let g be t(-1). Calculate the greatest common divisor of c and g. 5 Let b(d) = d**3 - 20*d**2 - 43*d - 13. Let a be b(22). Calculate the greatest common factor of a and 144. 9 Let n = 25 - -7. Let y = -225 + 326. Suppose -21 + y = f. What is the highest common factor of f and n? 16 Suppose -4*r + 2*r = k - 111, 5*r = 4*k + 284. Suppose 20 = 5*b - 20. Calculate the highest common divisor of b and r. 8 Let m = 207 - 107. Calculate the highest common divisor of m and 40. 20 Suppose 6*l - 20 = 5*l. Calculate the highest common divisor of 220 and l. 20 Let n = -20 - -9. Let l(p) be the first derivative of -p**4/4 - 4*p**3 - 6*p**2 - 4*p - 1. Let f be l(n). Calculate the highest common factor of f and 7. 7 Suppose 145 = 2*w - 35. What is the greatest common divisor of w and 20? 10 Suppose 5*d = 11 + 9. Suppose 6*a - 4*a - 56 = 0. Calculate the highest common factor of d and a. 4 Let b = -83 + 95. What is the greatest common factor of 48 and b? 12 Let i be (-107)/(-5) - 28/70. Calculate the highest common divisor of i and 14. 7 Suppose -11 - 12 = -h. Calculate the highest common factor of h and 115. 23 Let r be (60/9)/5 - (-626)/3. Suppose 204 = -4*d + 4*m - 44, -4*d = -5*m + 246. Let t be 1/(-3) + d/(-3). What is the highest common divisor of r and t? 21 Let p(y) = -y + 1. Let j be p(-4). Suppose 53 = 2*o - j*w, -3*o - w + 62 = -5*w. Let z be -2*1/(-2) - -125. Calculate the highest common divisor of z and o. 14 Suppose -6*m = -3*m + 3. Let s(f) = -16*f**3 - f**2 - 2*f - 1. Let o be s(m). What is the highest common factor of o and 144? 16 Let d(g) = -g**3 + g**2 - g + 17. Let f be d(0). What is the highest common factor of f and 51? 17 Let o be (12/(-9))/(10/(-405)). Calculate the greatest common divisor of o and 18. 18 Suppose 0 = 2*h - 8*h + 72. Calculate the greatest common factor of h and 84. 12 Suppose -z - 8 = -2*z. Let c be -1 + z + 0/1. Suppose -2*h - 6 = 5*g, 2*h - 3*g + c*g = -2. What is the greatest common divisor of h and 28? 7 Let k = 18 - 25. Let n = k + 12. Let v(u) = -7*u + 3. Let x be v(-6). Calculate the highest common factor of x and n. 5 Suppose 0 = 257*u - 259*u + 14. Calculate the highest common divisor of 1 and u. 1 Let c be (-6)/8 - 387/(-36). Calculate the highest common divisor of c and 5. 5 Suppose 1 = 2*h - 29. Let v be -2 + ((-487)/(-4) - 1/(-4)). What is the greatest common factor of v and h? 15 Let s be (-84)/(-10) + 8/(-100)*5. What is the greatest common factor of s and 20? 4 Suppose 328 = 3*w - 4*h, -4*w - 4*h + 172 = -228. Let y(r) = -r**3 + 3*r**2 + 3*r + 4. Let x be y(3). Calculate the greatest common divisor of w and x. 13 Suppose 36 = 3*c + 3*g, -c - g = 3*c - 63. What is the highest common divisor of c and 51? 17 Suppose 0 = 16*x - 324 - 76. Calculate the highest common factor of 125 and x. 25 Let p(w) = 12*w**2 - 7*w - 2. Let x be p(-2). Calculate the highest common divisor of x and 90. 30 Suppose 2*a + s - 7 = 0, -a + 4*s = 2 - 10. What is the greatest common divisor of a and 12? 4 Let s(m) = m**3 + 15*m**2 + 14*m + 12. Let k be s(-14). Calculate the highest common factor of k and 18. 6 Let q = 69 + -47. Calculate the greatest common factor of 66 and q. 22 Let v = 17 - 12. Let t(y) = 4*y - 18. Let x be t(7). Suppose v*j + 0*j = x. Calculate the greatest common factor of 2 and j. 2 Let q be (2 + 2 - 1)*-1. Let d be 6/1*q/(-9). What is the greatest common divisor of 6 and d? 2 Let t(v) be the first derivative of -v**2 + v + 2. Let d be t(4). Let y = d + 23. Calculate the highest common divisor of y and 96. 16 Let v = 35 + -24. What is the highest common divisor of v and 121? 11 Suppose 4*c - 196 + 38 = -2*u, 336 = 4*u - 2*c. Suppose -5*y - 5 + 20 = 0. Suppose -u - 79 = -y*n. What is the highest common factor of n and 6? 6 Let l = 66 + -52. Calculate the greatest common divisor of 7 and l. 7 Suppose 8*o - 9*o = -105. What is the greatest common divisor of 42 and o? 21 Suppose -125 - 56 = -5*c - 2*p, 3*c - 4*p = 93. Suppose -z + 0*z + 7 = 0. What is the highest common divisor of c and z? 7 Let c = -16 + 58. What is the highest common factor of c and 28? 14 Suppose 4*k + 4 = 28. Let a = 84 + k. Calculate the highest common factor of a and 18. 18 Suppose -h + 5*i = -14, -2*h + 2*i = h - 55. Calculate the highest common factor of h and 171. 19 Let y(p) = p**2 + 2*p + 1. Let h be y(-3). Suppose 27 = h*w - 1. What is the highest common factor of w and 7? 7 Let u(z) = -z**3 + 5*z**2 + 7*z - 6. Let x be u(6). Let s be 0/3 + x - -3. Let m be s*(0 + 4 + 2). Calculate the greatest common factor of 6 and m. 6 Let h(a) = 2*a + 4. Let l be h(7). Calculate the greatest common factor of l and 18. 18 Let g = 187 - 112. Calculate the highest common divisor of g and 25. 25 Let p be 2 - (-43*1 + 1). Suppose 3*y - 2*o - 29 = -2*y, -5*y + 15 = 5*o. Suppose 0 = -2*q + 3 + y. Calculate the highest common divisor of q and p. 4 Suppose -2*g + 4*v - 2*v + 78 = 0, g + 5*v - 69 = 0. What is the highest common factor of g and 22? 22 Suppose 0 = -0*l - 3*l + 4*k + 533, -3*l - k + 508 = 0. What is the highest common factor of l and 19? 19 Let o = -40 - -84. Let s = o - 31. Calculate the highest common factor of 39 and s. 13 Let b be ((-24)/10)/((-3)/50). What is the highest common divisor of 16 and b? 8 Let q be -11*(-3 + 6 - 7). What is the greatest common divisor of q and 11? 11 Let p = -17 - -27. Suppose -354 = -5*s - 54. What is the greatest common factor of p and s? 10 Let q be (-2)/(-3) + 80/6. Let g be ((-13)/(-4))/(1/116). Let s = g - 265. What is the highest common factor of q and s? 14 Suppose -21 + 1 = -4*p, 4*r + p = 93. Let u(c) = c**3 - 3*c**2 - 7*c + 7. Let o be u(5). What is the greatest common factor of o and r? 22 Let z(o) = 79*o**2 + 3*o - 2. Let n be z(2). Suppose 3*a + a = n. What is the highest common factor of 10 and a? 10 Let s be (-1046)/(-14) - 16/(-56) - -2. What is the greatest common factor of s and 11? 11 Let r(n) = -4*n + 5. Let v be r(-7). Let u = 56 + -79. Let t = -12 - u. What is the greatest common factor of v and t? 11 Let j(p) = -2*p. Let r be (27/3)/(2 + -1). Let n(h) = h**2 - 10*h + 4. Let u be n(r). Let o be j(u). Calculate the highest common divisor of o and 70. 10 Let z(l) = -4*l**3 - 3*l**2 + 1. Let s be z(-2). What is the greatest common factor of 3 and s? 3 Let m = -106 + 154. What is the greatest common factor of m and 72? 24 Let o be (2*(-9)/4 - -3)*-10. Suppose 604 = 5*g + 2*r, -211 = -4*g + 4*r + 261. What is the greatest common divisor of o and g? 15 Let k = -535 - -271. Let n = -184 - k. Calculate the highest common factor of 20 and n. 20 Let f = -3 + 8. Suppose 2*o + 70 = 4*r, -5*r + f*o = 1 - 76. Let x(c) = c + 10. Let q be x(-6). What is the highest common divisor of q and r? 4 Let r(f) = 73*f**2 - f. Let y be r(1). Suppose -51 = p - 5*p - 3*x, -11 = p - 4*x. What is the greatest common divisor of y and p? 9 Suppose -9 - 6 = -5*t. Suppose -5*m + 202 = i + 20, t*m - 110 = -i. Suppose -40 = -2*o + 8. Calculate the highest common factor of o and m. 12 Suppose -582 = -5*k + 2*w + 398, -4*k = -4*w - 772. Let d be k/24*8*1. What is the greatest common factor of d and 6? 6 Let a be 3*6*2/3. Suppose 2*x - a = -2*x. Suppose -56 = x*j - 350. Calculate the greatest common divisor of j and 14. 14 Suppose -5*k + 3*r + 79 = 0, 2*k + 4*r + r = 13. What is the highest common factor of 140 and k? 14 Let d = -8 + 12. Suppose 0 = -2*w - 3*w + d*n + 393, -4*w = n - 306. Suppose -2*h + 22 = -0. What is the highest common divisor of w and h? 11 Let f(d) = 4*d**2 + 2*d. Let y be f(2). Let l = y + -46. Let m = l + 42. Calculate the greatest common divisor of m and 8. 8 Suppose -13*n - j - 7 = -14*n, 2*n - 12 = 4*j. Suppose 3*g = -2*w +
{ "pile_set_name": "DM Mathematics" }
(33 - -3). -37 What is the value of -23 - ((-5 - (3 + (0 - 3))) + -1)? -17 What is -10 + -1 + (39 - (35 + 1 - 14))? 6 What is 2 - -2 - ((-50 - -33) + (0 - -5))? 16 13 - 8 - (1 - -5) - (-1 - 5) 5 What is 15 + -2 - (3 - -9)? 1 Evaluate (8 + (-24 - 6) - -9) + 11. -2 What is the value of -24 + (43 - (-33 - -45))? 7 What is the value of -35 - ((-28 - 2) + -40)? 35 -31 + 1 - (28 - 0 - 37) -21 What is the value of 12 - (3 - ((10 - -3) + (-7 - 1)))? 14 Evaluate 177 + -187 - (1 - 2 - -9). -18 Evaluate 55 + -41 + -1 + -4. 9 (-8 + 3 - 4) + (1 - 1) + 14 5 Evaluate (22 - 23) + -3 + -1. -5 Calculate (5 - 8) + 0 - (-7 + (-11 - 0)). 15 Calculate -27 + -9 + (24 - (-1 + 2)) + -5. -18 What is the value of -11 + 1 + 236 + -226? 0 Calculate -209 + 224 - (5 + -6 + 31). -15 Calculate -14 + (-16 - (-13 + -2)) + 10. -5 Calculate (20 - 29) + -9 - -9. -9 Evaluate (4 - (3 - (-1 + -5))) + 11 + -13. -7 Evaluate (-5 - -2) + (5 - (-12 + 31)). -17 What is the value of (2 - 6 - (29 + -14 - 21)) + -1? 1 What is (-10 - 2 - (14 + -45)) + (2 - 0)? 21 What is 1 - 1 - (-60 + 64)? -4 What is 6 - (-4 - 1) - (-47 + 82)? -24 What is (-4 - 10) + 9 - -8? 3 What is (0 - 9) + (-3 - (-14 - -9))? -7 8 + (-4 - (6 - 3)) - (6 + -3) -2 Evaluate (6 - 5 - 10) + 13. 4 Calculate (-8 + 4 - -12) + -18. -10 0 - -30 - (-452 + 488) -6 Calculate (-28 - -11) + -9 + 12 - 11. -25 What is the value of -19 - (-1 + 0) - -3 - (241 - 237)? -19 Calculate 10 - (11 + 3 - (5 + -12)). -11 Evaluate (0 - ((6 - 12 - -6) + 3)) + -9. -12 Calculate 7 - (0 - -30) - (-1 + 3 - 7). -18 2 + -11 + -24 + (0 - -6) -27 Evaluate -9 + (14 - (-22 + 12) - -7). 22 Calculate 1836 - 1833 - ((0 - 1) + -6). 10 Calculate -7 + 7 + 9 - ((7 - 10) + 11). 1 Calculate -2 + 0 + -6 - (-10 + 7 - -15). -20 Evaluate (-6 - -5 - 0 - (-13 - -10)) + -24. -22 What is the value of (-12 - (-10 - -12)) + (-5 - 0) + 2? -17 Evaluate 21 + -6 - 73 - -27. -31 Evaluate -19 - (-11 + (2 - -4 - 2)). -12 -21 + 44 + 14 + -36 1 What is the value of -8 + ((2 - 1) + -5 - -16)? 4 Calculate -9 - (0 + (-18 - -14)) - (-8 + -1). 4 (-7 + -57 - -27) + 13 -24 What is the value of 1 + -16 + 9 - 1 - -8? 1 What is the value of -6 + (3 - (5 - 11)) + -10? -7 Calculate 7 - 4 - 7 - (18 + -7 + -30). 15 Evaluate (-2 - -2 - 6) + (20 - 11 - 10). -7 What is the value of -26 + 12 + 5 - 3? -12 What is -1 + -20 + -7 + (-19 - -9)? -38 What is the value of -1 - -5 - (6 - (-9 - (-2 + -26)))? 17 Calculate 0 + -1 + (-14 - -1) + (1964 - 1966). -16 Calculate 28 - 10 - (6 + (-2 - (9 + -7))). 16 What is the value of (-8 + -6 - (-3 - -7)) + 2? -16 What is (2 - (-2 + 2)) + -10 + -778 + 773? -13 What is the value of -28 - (-24 + 17 + (-12 - -6))? -15 Evaluate -33 + 40 + -15 + -3 + (-1 - 1). -13 27 + -4 + (6 - 7) 22 Calculate 36 + -35 - (-13 - -4) - -11. 21 -11 - (-2 - (-2 + 9)) -2 Evaluate -10 - (1 - -13 - 29). 5 What is 20 - ((2 - 14) + 23)? 9 Calculate 6 + -7 + (3 + (-19 - -8) - -1). -8 1 + 0 + (-108 - -113) 6 What is 1 - (10 - (26 - -12 - 15))? 14 What is -18 + (-3 + -17 - -39)? 1 2 - (2 - (2 + 6)) - (-3 - -10) 1 What is (-1 - -2) + -1 + -3 + (-29 - -31)? -1 Evaluate -13 - (-19 - -14) - (-5 - 8). 5 Calculate -1020 + 1010 + (2 - -16). 8 What is (-9 - -16) + (7 + -4 - (13 - 2))? -1 What is the value of -10 + -7 - (-18 - (-24 - -13))? -10 What is the value of (-18 - (1 + -3 + -8 - -4)) + -1? -13 What is the value of 0 + (0 - 0) - -8 - (3891 + -3895)? 12 What is -30 + (18 - (20 - 10))? -22 Calculate 10 - (33 - (11 + (-1 - 9))). -22 What is the value of (-129 - -100 - (-3 + 1)) + -2 + -1? -30 (13 - (-9 - -11)) + 3 14 (-47 - -48) + 8 + -9 + 2 2 Evaluate (-2 - 9) + (-29 - -27) + 36. 23 What is the value of -53 + 68 + (1 - 23)? -7 Calculate (-2 + 2 - -3) + -2 - (7 + -18). 12 Evaluate (6 - (3 + -15)) + (12 - 7). 23 7 - (89 - 103 - ((1 - 0) + -3)) 19 What is the value of (5 - 10 - -3 - -6) + -3? 1 What is 10 + (24 - 55) + -3? -24 (-71 - -12) + 37 - -6 -16 Evaluate 1 - 21 - (-13 + (-9 - -3) + 21). -22 Evaluate 4 + -1 - 0 - (-19 - -31). -9 Evaluate (-4 + (-4 - 1) - 0) + 4 - -3. -2 What is (13 - 3 - 15) + 19? 14 What is 728 + -740 + (1 - 2) + 17? 4 Evaluate 2 - 35 - -15 - 14. -32 Calculate (1 + -9 - -5) + 9 + -1 + 4. 9 What is the value of -17 - (-12 - 11) - 26? -20 Evaluate -8 + -22 - -34 - (-1 - (1 - -4)). 10 What is 8 - (-5 + (1 - -4) + -5)? 13 4 - (-7 + 1 + (5 - 6)) 11 What is the value of 21 - (-4 + (35 - 9))? -1 Evaluate 20 - 34 - (-16 - -2) - (-20 - 0). 20 What is 76 + -62 - (-4 + (40 - -9))? -31 What is 1 + -12 + -6 - 20? -37 Calculate 27 + (-34 - (22 + -22)). -7 What is the value of -33 - (14 + (-3 - 28))? -16 -7 + -5 + 1 + (15 - 6) + -6 -8 6 + 3 + -1 + 4 + (-7 - 1) 4 Calculate 3 + 7 - (5 + 14). -9 Evaluate -2 + (3 - (15 - 2)). -12 What is (-14 - 4) + (1 + 7 - -2)? -8 What is (-2 + -6 - -2) + (17 - (-7 + 19))? -1 What is -17 + (-10 - (-11 + 2 + 0))? -18 Evaluate (2 - 11) + 8 - -9. 8 5 + 5 + -2 + (4 - 7) 5 Evaluate -1 + 5 + -2 - (4 - 2) - -32. 32 What is -4 + (8 - (-5 - (-6 - 4)) - -8)? 7 9 - -27 - ((4 - 0) + 4) 28 Evaluate 0 + 2 + 14 + -15. 1 Calculate -17 + 53 + -3 + -21. 12 Evaluate 1 + -6 - -9 - (-4 + 3). 5 -31 + (-1 - -1) - (-2067 - -2065) -29 Evaluate 81 + -132 + 72 + (1 - (-1 + -6)). 29 Evaluate -137 + 128 + (0 - -6) + 14 - 8. 3 Calculate -7 - (-23 - (-14 - 1)) - -13. 14 -2 - 6 - (-7 + 10 + -8) -3 What is -2 + 1 + 0 + 10 + (7 - 16)? 0 What is the value of 2 - 8 - (55 - 64)? 3 What is (10 + -32 - -22) + 3 + 1? 4 Evaluate 19 - (142 - 130 - (2 - -19)). 28 What is the value of -5 + 7 - (4 - ((-4 - -2) + 0))? -4 What is 8 - ((-22 - -19) + 7)? 4 What is -23 - (13 + -8) - -10? -18 What is 4 + -20 - -28 - 15? -3 (4 - -2) + (2 - 0) - (254 + -244) -2 Calculate 0 + (11 - -2) + 3 + -55 + 61. 22 What is -61 - (-61 + 25) - -13? -12 Evaluate -12 - (-8 + (17 - (5 + 2))). -14 Calculate -1 + 1 - (54 + -68). 14 Calculate 1 + 5 - (16 - 18 - -14). -6 (51 - (-30 - -79)) + (-1 - 1) 0 What is the value of -16 - (-17 - (-39 - -23))? -15 Evaluate -2 + -1 - 0 - (-16 + 7). 6 Calculate -37 + 42 - (7 + 1). -3 What is the value of 1 + -1 - (-26 + 31) - (-1 + -2)? -2 What is the value of 41 + 33 + -3 + -105? -34 What is (9 - -1) + ((4 - 15) + 23 - 14)? 8 Calculate -15 - (-10 + 11 + -51) - (9 - -1). 25 Calculate (15 - -5 - 14) + (-1 - 8). -3 -46 + 43 - (31 - 4) -30 Evaluate (3 - 12) + 7 - 5 - 7. -14 What is (-2 - (-3 + 8 + -6 - -3)) + 6? 2 What is the value of -35 - -55 - 16 - 12? -8 What is the value of (-13 - 0) + (52 - (16 - -13))? 10 Calculate -303 + 299 + 15 + 2 + 0. 13 Evaluate (9 + -3 + -17 - (0 + 1)) + -1. -13 Evaluate -29 + ((18 - 11) + 8 - 10). -24 -3 + 0 - (45 - 39) - 13 -22 Evaluate 9 + -16 + (5 + -2 - (2 - -1)). -7 What is the value of -2 - (-12 - (3 - 0)) - (-928 + 927)? 14 4 - (-22 + 11 + 3 - -25) -13 What is -2 + 6 + -3 + 3 + (-22 - -8)? -10 What is the value of -3 + 16 - (46 - 24)? -9 -7 + -20 + 43 - -4 20 -2 + ((6 - 32) + 0 - -11) -17 Evaluate -3 + 2 - (7 + 7 - (-3 - -8)). -10 -43 - 24 - -57 - (-31 + 1) 20 Calculate -11 - (-27 + 12) - 6. -2 Evaluate (-8 - (-5 + 1 + -22)) + -10. 8 What is -3 - -39 - (189 - 180)? 27 Evaluate -5 - (2 - (-11 - -27)). 9 Evaluate 18 + -1 - (54 - 42). 5 Calculate -15 - (-17 - (-6 + 0) - -3). -7 Calculate 20 + -14 + -9 + 0. -3 Evaluate 240 - 235 - (-1 + 0 + -1 + -7). 14 What is the value of (-17 - -17 - 23) + 12? -11 -21 - -6 - (-3 - 18) 6 Evaluate (12 - (13 - (6 + 2))) + 19 + -10. 16 Evaluate 1 + -3 + 18 + -18 + 11. 9 -16 - (-26 + (57 - 30)) -17 Evaluate 1 + -17 - (4 + (-21 + 10 - -5)). -14 What is the value of (-72 - -97) + (-41 - -2)? -14 Calculate -170 - -133 - (-1 - 7). -29 Evaluate (19 - (48 + -20)) + 13. 4 Evaluate -7 + (-1 - (2 - -8 - 16)). -2 Calculate -27 + (-3 - (-11 + -6)). -13 4 + (6 - -3) + (-68 - -25) -30 Evaluate (3 + -2 - -8) + (16 - 13) + -7. 5 What is the value of 15 + (11 + -19 - 12)? -5 20 + -27 + (8 - 5) -4 What is -3 - (21 + (-34 - 6))? 16 What is 10 + (-3 - 44) + 5 + (-3 - -4)? -31 Calculate -19 - (-11 - (-27 + 32)). -3 What is the value of 11 - (22 - (0 - -21)) - -2? 12 What is the value of -4 + 2 - (-48 + 33)? 13 Evaluate -6 + (-6 + -3 + 12 - 2). -5 Evaluate -114 + 117 + (-1 - 5) + (-1 - 10). -14 -10 - (25 + -18 + 0 + -6) -11 -14 - 13 - -18 - 4 -13 What is the value of -9 + -3 + (-46 - -54)? -4 Calculate -86 + 78 + (-5 - 2 - -1). -14 What is the value of -5 - -1
{ "pile_set_name": "DM Mathematics" }
518 - -861145. Is l prime? True Let n(k) be the first derivative of 50*k**3/3 + k**2/2 + 16*k + 1. Let c be n(6). Suppose -4*g + 14 + 2 = 0, -2*v + c = 2*g. Is v prime? True Let x = 50 + -52. Is (x/4)/(16/32)*-3793 a prime number? True Suppose 5*w = 3*n + 633 - 211, 2*n = -4*w - 252. Is 2*n/(-8)*(-61 - -75) a composite number? True Suppose -r + 2324 + 2331 = 0. Suppose 0 = -i - r + 14848. Is i composite? False Is 14185/(-3)*-87 + (-4)/(-2) a composite number? True Let o(f) = f**2 - 7*f - 4. Let h be o(8). Suppose a + 8 = h*b, -3*b = 5*a - b - 26. Suppose -5*l + 10 = -a*n, 3*n = 4*l - 2*n - 8. Is l a composite number? False Let p be (-22 - 2)/4 + -2. Let g be p/20 - (-24)/10. Is (g/(-4))/(5/(-4710)) composite? True Let h be -375*1*(-1)/(-3)*-8. Let v = h + 901. Is v prime? True Let g = 7656105 + -4989748. Is g prime? False Suppose 2*y = 3*f - 44, -y = -4 + 2. Suppose 3*r - 7*r = -f. Suppose j + r*j - 5*c - 10890 = 0, 10920 = 5*j + 5*c. Is j a composite number? True Let d(k) = 769809*k**3 + 2*k**2 + 62*k - 64. Is d(1) a composite number? True Let m = 106 + -101. Is (-1 + 1250)/(-5 - (-1 - m)) prime? True Let n = -274 + 272. Is (47*1)/((-22)/(-3630)) + n a prime number? True Suppose -l - 10 = -0*l. Let t(a) = -3*a**3 + 10*a**2 - 26*a - 13. Is t(l) a prime number? False Suppose -59*x + 626330 = -12*x - 1854471. Is x a composite number? False Suppose -348774 - 1892446 = -20*n. Is n composite? False Let c = 805 + -1615. Suppose -9607 = 5*x - 2192. Let p = c - x. Is p a prime number? True Let l = -117951 + 238304. Is l a composite number? True Suppose -28 = 2*q - 32, 6454 = -n - 2*q. Let v = n + 11535. Is v prime? True Let h = -53216 + 95347. Is h a prime number? True Is 1317 - (-6 + 6 - 2) a prime number? True Is ((-278007)/(-9) - -3)*(152/16 - 8) prime? False Let k(q) = 123*q - 857. Let g be k(7). Let b(z) = -6*z**3 + 6*z**2 + 2*z**3 + 8*z + 1 + 3*z**3. Is b(g) a prime number? False Let o be (33 + -34 + (1 - -3))*-1. Is (-261590)/(-42) + (-8)/o + -2 prime? True Suppose -2*q - 872 = -906. Suppose -7*k = -q*k + 11190. Is k a prime number? False Suppose 3*a = -5*i - 6 + 1, -3*i = -2*a + 3. Let n(d) = 44. Let s(v) = v**2 + v - 1. Let z(g) = i*n(g) + s(g). Is z(19) a prime number? False Let u(v) be the first derivative of 253*v**2/2 - 243*v - 270. Is u(28) prime? True Is ((-5)/90*6)/(9/(-6451353)) composite? False Let z(b) = 179*b**3 - 3 - 87*b**3 - 95*b**3 - b**2. Is z(-7) a prime number? True Suppose 0 = 4*y + 2*g - 3676610, 2*g = -5*y + 5618655 - 1022894. Is y prime? False Let d be (2 + -2)/(3 - 4). Suppose d = 7*m + 71 + 48. Let s(o) = o**3 + 16*o**2 - 20*o + 4. Is s(m) composite? True Let o be (-16)/(-4) - 10831/1. Let w = -6110 - o. Is w a prime number? False Suppose 0 = -2*m - 3*i + 43, 0 = -2*m - 4*i + 48 - 0. Suppose m*b = 4242 + 1036. Is b prime? False Let s(p) = -15*p**3 - 14*p + 21. Let v be s(-11). Suppose 22*f = v + 84162. Is f a prime number? False Let o(d) = 132*d**2 + 210*d + 239. Is o(34) a composite number? True Suppose -4*z = -2847 - 1345. Let s = z + -741. Is s a composite number? False Suppose -5*j - 20 = -3*s, -2*j = 2*s - 8 - 16. Suppose -3*h - s = 2. Is (h/8 + 0)*-194 composite? False Suppose -2*h - 3*b + 6*b = -2242, -2*b = -4*h + 4492. Suppose u - 5*u = -h. Let q = 486 - u. Is q a prime number? False Suppose -23*p + 99371 = 3*c - 28*p, -5*c = -3*p - 165629. Is c composite? True Suppose 2*v = -21 - 31. Let g be (15 - 16)/(1 - (-28)/v). Suppose 14*p - 4073 = g*p. Is p prime? True Suppose -8*r = -7*r - 5. Suppose 0 = 3*y + n + 2894 - 9759, -y - r*n = -2279. Suppose -5*m = y - 6334. Is m a prime number? True Let w = -4478 - -9424. Suppose 3*b - 15245 = -w. Is b composite? False Suppose y - 3*w = 49765, -4*w = -2*y - 25642 + 125164. Is y a composite number? True Let v(x) = -x**3 + 13*x**2 + 12*x + 21. Is v(9) prime? False Let y(h) = -h**3 + 9*h**2 + 19*h + 5. Let w(f) be the third derivative of -f**5/60 - 13*f**4/24 - 16*f**3/3 + 24*f**2. Let u be w(-7). Is y(u) a prime number? False Let g(b) = 1253*b + 6. Let r(a) = -a + 14. Let v be r(9). Let q(x) = -1252*x - 7. Let h(o) = v*q(o) + 6*g(o). Is h(1) composite? False Let k(y) = -2*y**3 - 63*y**2 - 29*y + 68. Let g be k(-31). Suppose 10177 = g*i + 3199. Is i a composite number? False Is (33/(-4) + 0)*10004612/(-1077) composite? True Suppose 0 = -3*v + 4*m + 621711, 78*m - 76*m + 12 = 0. Is v a prime number? False Let s be ((-42274)/(-3))/((-6)/(-9)). Suppose -s = -9*c + 22990. Is c composite? False Is (-5)/(-7) + 34395072/336 a composite number? False Is (-1 - (-2222460)/25)*(-15)/(-9)*3 composite? False Let d = 1590443 - -655236. Is d a prime number? True Suppose -95*h + 31*h - 989771 = -6529035. Is h a prime number? False Let j = 895 - -106938. Is j composite? True Let t(a) = -2*a**2 - 29*a - 27. Let r be t(-12). Suppose 10*l - r = 7*l. Suppose -9994 = -l*y + 555. Is y prime? False Let d = -41104 + 68961. Is d a prime number? False Let s(l) be the third derivative of -l**6/20 - l**5/20 - 3*l**4/8 - l**3/6 - 17*l**2. Suppose -4*r = 3*n + 34, 1 + 3 = -r. Is s(n) a composite number? True Let a(h) = 5*h**2 - 10*h + 14. Suppose 0*t = -2*u - 4*t - 36, 5*u + 2*t = -74. Let f be -3 + 12/4 + -2 - u. Is a(f) prime? False Let z = -851430 + 1219399. Is z composite? True Let p(w) = 944*w + 5. Let f be 194/22 - (-2)/11. Is p(f) prime? True Let n(l) = 27*l + 2. Let p be n(-3). Let x = p + 81. Suppose -x*h = -2*r - 1646, 2464 = h + 2*h - 2*r. Is h a composite number? True Suppose 29731155 + 14904370 = 275*d. Is d a prime number? False Let o = 6964 - 5853. Is o a composite number? True Let g(x) = 833*x + 3089. Is g(4) prime? True Suppose -106*a = -121*a + 336390. Is a a composite number? True Let m = -14106 - -72005. Is m composite? False Let l = 7 - -1. Let m be (3 + 1)/2 - (0 - l). Suppose -11*n + 163 = -m*n. Is n a composite number? False Let j(o) = -43*o + 1937. Is j(-3) prime? False Suppose 6*d - 36627 = -6039. Is d a composite number? True Suppose -z - 5 = 0, -2*z - 284399 - 707215 = -4*d. Is d composite? False Let a(m) = -97*m + 85. Let l(i) = -93*i + 85. Let j(s) = 3*a(s) - 4*l(s). Is j(20) composite? True Let n(s) = -s**3 + 6*s**2 + s - 4. Suppose 10*u - 375 = 15*u. Let t be (3/5 - 1) + 120/u. Is n(t) composite? True Let n = -2405 + 462. Let k = n + 4434. Is k prime? False Suppose 4*a - a = 3*o - 75, -2*a - 2*o = 30. Suppose -3*g + 40 = g. Is (-4228)/a + (-4)/g prime? True Suppose -4*a = -6*a - 2642. Let n = -690 - a. Is n composite? False Let z = -18 - -20. Let j(t) = 6 + 2*t - 4*t**2 + z*t**2 - 4*t + t**2. Is j(0) composite? True Let j(d) be the first derivative of 2*d**2 + 31*d - 26. Let m be j(9). Suppose 0 = -68*i + m*i + 1841. Is i a prime number? False Is -17 + (1 - 7) + 110604 a prime number? True Let v = -303 - -303. Is v + (3341 - (-18)/3) a composite number? False Let q(s) = 4*s**2 - 2*s + 19. Let u be q(0). Let f(k) = 24*k - 18*k - 12*k - 16 - u*k. Is f(-7) prime? False Suppose 2*h + 3*h + 5*o = 40, 5*o - 25 = 0. Suppose 2*m - 3565 = -3*j, h*j - 2 = j. Is m prime? False Let m(i) be the third derivative of 29*i**5/60 - i**4 - 13*i**3/6 - 11*i**2. Is m(6) composite? False Let j = -71 + 74. Suppose -3*w = j*i + 36, -w + 8 = -0*w - 3*i. Is (590/6)/(w/(-21)) composite? True Suppose 6*d = 819042 + 161082. Suppose 155598 = 4*p + 2*h, -d - 31139 = -5*p + 2*h. Is p prime? False Let t = 147887 + -84828. Is t prime? True Let i = 263 - 273. Let c(y) = -5*y**3 - 9*y**2 + 11*y - 23. Is c(i) composite? False Let m = 18916 - -14287. Is m a prime number? True Let v be (-263614)/(-65) + 2/5. Let j = v - 2088. Let m = 2945 - j. Is m a prime number? True Let y = -28 - -28. Suppose 8*n - 2*n = y. Suppose n = -z + 555 + 844. Is z composite? False Let p(y) = -20*y - 284. Let h be p(-17). Is ((-4)/2)/8 - (-109606)/h a composite number? True Let l(d) = -1045*d - 719. Is l(-30) a composite number? False Suppose 4*m + 6 = -x, 8*x + 5*m = 3*x. Let b(u) = 1037*u**3 + u**2 + x*u - 7*u**3 + 746*u**3 - 2. Is b(1) a composite number? False Let m = 299 - -645. Suppose -4*f = -5*t + 2*t - 680, 0 = 4*t + 4*f + m. Let x = t - -347. Is x a prime number? False Suppose -5*d + 7465 = -5560. Suppose 244 + 308 = -2*w. Let z = d + w. Is z a prime number? False Let x(t) be the first derivative of t**4/4 - 10*t**3/3 +
{ "pile_set_name": "DM Mathematics" }
t is the units digit of h? 3 Suppose s + 63 - 23 = 0. What is the tens digit of 2*(-2)/(-1) - s? 4 Let c = 14 + -9. Suppose -2*l - 15 = c*a, l - 2*a = -1 + 16. Suppose -l*m + 10*m = 4*i + 70, 4*i + 52 = 4*m. What is the tens digit of m? 1 Suppose 63 = -2*s + 5*s. What is the tens digit of s/1 - 0/(-4)? 2 Let q = -7 - -55. What is the units digit of q? 8 Let y = 4 - 4. Suppose 3*b - 3*t - 9 = 0, -5*t + t = -5*b + 16. Suppose y*m = -b*m + 28. What is the units digit of m? 7 What is the tens digit of 330/11*(-16)/(-6)? 8 Suppose -o = -0*o - 48. What is the units digit of o? 8 Suppose -r = m + 1, -5*r - 5 = 3*m - 2*m. What is the units digit of r/(-4) - 1911/(-52)? 7 Let o = 24 + 90. What is the tens digit of o? 1 Suppose 2*m - 4 = 5*h, 0 = -2*m + 3*h + h + 2. Let c be (-6 + 3 - -9) + m. Suppose 2*n = c*l + 18, -5*n + 1 + 49 = -5*l. What is the tens digit of n? 1 Let n be (-5)/(-20) + (-11)/(-4). Suppose -n*r + 2 = -1. What is the units digit of r? 1 What is the tens digit of 1*(-4)/6*3*-71? 4 What is the units digit of (-2 - -2)*1 - -1? 1 Let h(v) = 7*v**2 + v - 2. Let p be h(2). Let z = p - 7. What is the units digit of z? 1 Suppose 4*c + 0*i + 2*i - 20 = 0, i = -c + 6. Suppose 0 = 3*w - 30 - 150. Suppose -c*r + w = r. What is the units digit of r? 2 What is the units digit of (36/(-15))/(-4)*5? 3 Suppose h + h = 64. Suppose -3*t - 62 = -8*t - 3*s, -2*t - 3*s = -h. What is the tens digit of t? 1 Let s = -10 + 15. Suppose -4*g + 125 = s*h, 0 = 3*h + 2*h - 5*g - 170. What is the units digit of h? 9 Let l be (-1)/(-3) + 16/(-3). Let o = 2 - l. Suppose -4*x + 5 = -o. What is the units digit of x? 3 Let s = 105 + -27. What is the units digit of s? 8 Suppose -3*o + o + 7 = 3*f, 0 = -4*f + 3*o + 32. Suppose -26 = 3*g - f*g. What is the units digit of g? 3 Let f(q) = q**3 + 3*q**2 - 4*q - 1. Let b be f(-4). Let a(d) = -2*d. What is the units digit of a(b)? 2 Let s(k) = 5*k**2 + 5*k + 2. Suppose -w - 4*u = -4*w + 11, 0 = 3*w + 4*u + 29. What is the tens digit of s(w)? 3 Suppose l - 40 = -3*l. Let r be 7 - 4 - 1 - (-1)/1. Suppose 0 = -r*d + d + l. What is the units digit of d? 5 Suppose -3*x - 2*b + 29 = 3, -3*x - 3*b + 30 = 0. Let d = x + -5. What is the units digit of d? 1 Let w(c) = 5*c. Let k be w(1). Let m be k/1*(2 + -1). Suppose v - m*v = -56. What is the tens digit of v? 1 Suppose -356 - 289 = -3*u. What is the units digit of u? 5 Let u(z) be the second derivative of -z**4/12 + z**3 + z**2/2 - z. Suppose -4*j + 1 = -15. What is the units digit of u(j)? 9 Suppose 0 = -3*r - 12, -10 - 2 = g + 4*r. Let f be (20/(-16))/((-1)/g). Suppose -f*m = 5*h - 70, 0 = 2*h + m - 28 + 5. What is the units digit of h? 9 Suppose n - 53 = -r - 5, 2*r = -8. What is the tens digit of n? 5 Suppose 2*w = -0*m - 3*m + 22, w = -4. What is the units digit of m? 0 What is the units digit of -4 + 2 - -2 - -25? 5 Suppose m + 2*m = 3. Let q be -1 - m*(2 + -3). Suppose 29 = 4*d + 3*s - 30, q = 3*d - 4*s - 38. What is the tens digit of d? 1 Let n(k) = -k**2 + k + 3. Suppose 2*w = -5*g - 17, -4 - 6 = 2*g. Let h be n(w). Let u = 21 + h. What is the units digit of u? 2 Let q = -4 + 4. Suppose q = -4*k + 1 + 3. Suppose k + 3 = x. What is the units digit of x? 4 Suppose 11 = 4*j + r, 2*r - 40 = -5*j + 6*r. What is the units digit of j? 4 Suppose -4*n + 57 = -n. Let z = 17 - 28. Let i = n + z. What is the units digit of i? 8 Suppose 4*r - 2 = 2*f, 3*f - 2 + 5 = -r. Suppose 6*o - 3*o = r. Suppose -h - 3*h + 24 = o. What is the units digit of h? 6 Suppose 2*g + 2*g - 36 = 0. Let o = 17 - g. What is the units digit of o? 8 Let f = -8 - -33. Suppose -2*t - 3*t = -f. Suppose h + h + 3 = t*p, 0 = -5*p - 3*h + 8. What is the units digit of p? 1 Let d = 7 + -12. Let j(n) = 2*n**2 + 8*n + 3. What is the tens digit of j(d)? 1 Suppose 0 = 36*r - 40*r + 600. What is the tens digit of r? 5 What is the units digit of (-12)/(-66) - 1054/(-11)? 6 Suppose -5*i = -i - 144. Suppose -u + 4 + 1 = 0. Suppose -l - i = -u*l. What is the units digit of l? 9 Let a(f) = f**3 + 14*f**2 + 23*f + 31. What is the hundreds digit of a(-9)? 2 Let z be (-354)/(-9) - 2/(-3). Let d be (-16)/z + 2/5. Suppose d = f + 1 - 5. What is the units digit of f? 4 Let x(d) = -d**3 + d**2 - d + 21. What is the units digit of x(0)? 1 Suppose 32 = f - b, -8 = -b - b. What is the units digit of f? 6 Suppose 3*d + 0*g - 28 = -g, -44 = -5*d - 3*g. Suppose d*y - 128 = 6*y. What is the units digit of y? 2 What is the tens digit of 4*(20 + -1) + 2/1? 7 Let x(k) = -k + 7. Let b be x(6). Suppose 3*s + 5*z - 4*z = 19, 5*z = s - b. Suppose 0 = -2*r + s*r - 28. What is the units digit of r? 7 Let p(q) = -7*q**3 + 7*q**2 - q - 3. Let i(g) = 11*g**3 - 10*g**2 + g + 4. Let b(z) = -5*i(z) - 8*p(z). What is the tens digit of b(6)? 2 Let p(f) = -f**3 + 17*f**2 - 16*f. Let u be p(16). Suppose -4*o - 2*b + 162 = u, 5*o + 0*b - 207 = -b. What is the units digit of o? 2 Suppose 4*f = 5*f - 2. Suppose -2*v = f*v. Suppose 5*k - 43 + 8 = v. What is the units digit of k? 7 Let p = 26 - 20. What is the units digit of p? 6 Suppose 2*m + 0*m = 30. What is the tens digit of m? 1 Let b be (-4 + -2)*(-89)/3. Let v be (-2)/10 + b/(-10). What is the units digit of (-57)/v - (-4)/(-24)? 3 Let j(x) = -x + 8. Suppose 48 + 27 = 5*o. Suppose 2*f + 6 = v, v + 0*f + o = -5*f. What is the units digit of j(v)? 8 Suppose 3*m - 5*m = -2*b - 6, -4*b - 8 = -2*m. What is the units digit of m? 2 What is the units digit of (-3)/36*-4*75? 5 What is the tens digit of (73 - 10/5) + -2? 6 Suppose 0*w = -2*w - 2. Let p be (0 + w)*(-15)/3. Suppose b = 2*r - 16, r = p*b - b + 22. What is the units digit of r? 6 Let h(t) = -5*t**2 + t - 4. Let j(b) be the first derivative of 11*b**3/3 - b**2/2 + 8*b - 2. Let q(o) = -9*h(o) - 4*j(o). What is the tens digit of q(6)? 1 Let n = -41 - -29. Let o(r) = -2*r - 14. What is the tens digit of o(n)? 1 Suppose u - 38 = -2*v - 3*u, 3*v + 5*u - 52 = 0. Let y(p) = p + 7. What is the units digit of y(v)? 6 Let m be 18 + 0 + -4 + 2. Suppose -4*x + 3*q = -m, 0 = -4*x + 4*q + 12. What is the units digit of x? 7 Let p = 3 + -1. Let j be 1/(((-1)/p)/(-1)). Suppose -z + y + 31 = 3*z, -j*y = -2*z + 20. What is the units digit of z? 7 Suppose -5*f + 4 = -4*m - f, 3*m + 4*f - 4 = 0. Suppose 2*l - 57 + 17 = m. What is the units digit of l? 0 Suppose 4 = -y - 11. Let p be 3/12 + y/(-4). Suppose 4*w - l - 29 + 2 = 0, 4*w + p*l - 12 = 0. What is the units digit of w? 6 Suppose -10 = -4*l - d, -2*l - 4*d + 1 = 3. Let g = l + -2. What is the units digit of g/4 - (-38)/8? 5 Suppose 0 = 51*n - 47*n - 60. Let i(l) = -2*l - 1. Let v be i(-3). Let a = n - v. What is the units digit of a? 0 Let q = -37 + 114. Let k = q + -38. Let y = k + -28. What is the tens digit of y? 1 Let y(u) = -u + 16. Let m be y(13). Suppose -8 = 2*v - m*v. Suppose -v = -5*i - 3. What is the units digit of i? 1 Suppose 3*i = 3*x + 26 + 7, -2*i + x = -23. Suppose -4*l = 2*b - 78, -4*l + 2*b + i = -70. What is the units digit of l? 0 Let b(h) = -h**3 - 3*h**2 - 2*h - 4. Let i be b(-3). Suppose -i*l + 17 = -j, 2*l = 3*l + j - 7. What is the units digit of l? 8 Suppose -48*r + 51*r - 63 = 0. What is the tens digit of r? 2 Let m(y) be the second derivative of -y**5/20 + y**4/3 - y**3 + 3*y**2 + 2*y. Let z be m(4). Let k = z + 26. What is the units digit of k? 8 Suppose 4*g - 135 - 225 = 0. What is the units digit of g? 0 Let g(d) = -8*d + 2. What is the units digit of g(-5)? 2 Let c(x) = 3*x. Let z be c(1). Suppose -4*p + 13 = -3*k, -p = -0*k + z*k - 7. What is the units digit of p? 4 Suppose 2*n = 3*n - 3. Let r be 0 + (6 + 0)*n. Let c = r - 2. What is the tens digit of c? 1 Suppose -2*r + 0*r = 0. Suppose 5*v = d - r*v + 15, -9 = 4*d - 3*v. Suppose d = -4*o - 4, -3*u + 3*o + 0*o = -21. What is the units digit of u? 6 Let m = 11 - 9. What is the units digit of m? 2 Let m be (16/12)/((-8)/(-12)). Let d(t) = 12*t. What is the units digit of d(m)? 4 Suppose 0 = 2*k + 5*x - 25, x = -2*k - x + 28. What is the units digit of (-18)/k*35/(-2)? 1 Suppose -3*b + 114 = -0*b. Let f(p) = 13*p - 2. Let z be f(2). Let u = b - z. What is the tens digit of u? 1 Let l(f) = -f**3 - 5*f**2 - 6*f - 1. Let p = -3 + -1. Let o be l(p). Let u = 13 - o. What is the units digit of u? 6 Let x = -16 - -37. Suppose z + 0*z - x = 0.
{ "pile_set_name": "DM Mathematics" }
hat is the units digit of m? 8 Let s = -17 + 17. Suppose s*n + n + 1 = 0. Let g = 27 + n. What is the tens digit of g? 2 Suppose -2*y + 18 = -4*b - 8, -25 = 5*b - 4*y. Let t(w) = w**3 + 8*w**2 - 9*w + 3. Let j be t(b). Suppose j*u = u + 48. What is the tens digit of u? 2 Suppose 4*b - 8 = -5*t, 10*t - 17 = 5*t - b. Suppose -2*q - q + 2*d + 796 = 0, -3*d - 1061 = -t*q. What is the units digit of q? 6 Let m = 3878 + -1701. What is the tens digit of m? 7 What is the thousands digit of 1171 - 1 - 12/36*-18? 1 Let o be 2 + -1 - 1/(-1). Suppose -40 - 10 = -5*i + t, 0 = o*i - t - 20. Suppose 12 = r - i. What is the units digit of r? 2 Let k(r) = r**3 + 5*r**2 - 4*r + 7. Let i be k(-5). Suppose 2*b + 5*v = 73, -3*v = -3*b + 3 + 96. Let h = i + b. What is the units digit of h? 1 What is the hundreds digit of (4835/10)/(4/24) - 2? 8 Suppose w - 8 = a - w, 2*a - 2*w = -6. Let s be 18/(-24) - a/8. What is the tens digit of (-3 - s/1) + 23? 2 Let n(r) = 3*r**3 - 5*r**2 - 6*r - 27. What is the units digit of n(7)? 5 Suppose -2*f + 28 = 4. What is the units digit of 5/(-10)*f/(-3)? 2 Suppose -2*k = -3*n + 108, 2*n + 0*k - 79 = -k. Suppose -927 = -n*v + 35*v. What is the tens digit of v? 0 Suppose -l - 4 = k, l - 32 = 3*k - l. Let r(h) = h**2 + 2*h - 4. What is the tens digit of r(k)? 4 Suppose -8*y = -0*y - 64. Let v = 7 - 0. Let c = y + v. What is the units digit of c? 5 Let v = 1473 + 289. What is the tens digit of v? 6 Suppose 4*l = -r + 572, 0 = 17*l - 21*l + 16. What is the units digit of r? 6 Let v(w) = -12*w**3 - 3*w**2 + 3*w - 1. What is the tens digit of v(-3)? 8 Let d be (-1)/7 - 83/7. Let o = d + 33. What is the units digit of (-374)/(-6) + o/(-63)? 2 Let w(z) = 10*z**2 - 5*z + 21. What is the hundreds digit of w(8)? 6 Let f(h) = -2*h - 11. Let g be f(-14). Let x be -1*2 + 12/2. Suppose g = 5*m - x*m. What is the tens digit of m? 1 Suppose 3*p = -5 - 1. Let c be 1 + (-4)/p + -3. Suppose -2*a + d + 57 - 2 = c, -2*d - 20 = -a. What is the units digit of a? 0 Let s(w) = -w**3 - 7*w**2 - 6*w + 2. Let k be s(-6). Let d(y) = y**3 - 5 + k + 3 + 6*y**2. What is the tens digit of d(-3)? 2 Let q(k) = 18*k**2 + 8*k - 32. What is the hundreds digit of q(-8)? 0 Let h(i) be the first derivative of 2*i - 5/2*i**2 - 3. What is the tens digit of h(-6)? 3 Let i(h) = h**3 - 2*h - 2. Let t be i(-1). What is the units digit of (4/18 - (-1064)/(-9))*t? 8 Let x = 1076 - 642. Suppose -k + 59 = c - 23, -k = -5*c + x. What is the tens digit of c? 8 Let d(r) = -19*r + 36. What is the tens digit of d(-2)? 7 Let u = -5 - -7. Let v be (-3)/(u + (-3)/3). What is the units digit of (-2)/v*(-30)/(-20)? 1 Let w be -4 + (0/3 - -4). Suppose w*p - 5*p = -40. Suppose p*a + 2 = 9*a. What is the units digit of a? 2 Let q(y) = 3*y**2 + 133*y + 8. What is the units digit of q(-50)? 8 Suppose 5*t - u - 2450 = 1752, 3*t - 4*u - 2511 = 0. What is the units digit of t? 1 Suppose -5*m = -5*n + 1245, -4*n + 7*m + 1016 = 8*m. Suppose -3*d + n = -401. What is the units digit of d? 8 Suppose -100 = -k - 2*p, -10*p = -15*p. What is the hundreds digit of k? 1 Let b(c) = 97*c - 5. What is the tens digit of b(4)? 8 Suppose -5*y = -0*y + 130. Let u be y - 1 - (-2 - -6). Let w = -12 - u. What is the tens digit of w? 1 Let n(v) be the second derivative of -v**4/12 - 3*v**3/2 - 5*v**2/2 + 8*v. Let c be n(-7). What is the tens digit of 68/6 + (-3)/c? 1 Let p(m) = 22*m**2 - 4*m + 6. Let t = 7 + -4. What is the tens digit of p(t)? 9 Suppose 0 = 5*z, -4515 = -5*f + 2*z - 3*z. What is the tens digit of f? 0 Suppose -2 = -2*u + 34. Suppose -2*w + u = -0*w. What is the units digit of 1/((-3)/w) - -37? 4 Suppose 3*b + 5*y = 10559, -4*b + 12099 + 2008 = y. What is the thousands digit of b? 3 Let l be 4 + (2 - (-192)/3). What is the tens digit of (-10)/7*l/(-2)? 5 Let w = 112 - -508. What is the hundreds digit of w? 6 Let t(j) = -j**2 - 5*j + 2. Let l be t(-5). Suppose 5*d - 393 = -l*f, -4*d + 399 = d - 4*f. What is the units digit of d? 9 Let d(g) = 3*g**2 + 3*g + 4. Let m be d(3). Let f(y) = y**2 + 3*y - 3. Let v be f(-4). What is the units digit of 368/m + v/(-5)? 9 Let d(g) = 4*g**3 - 10*g**2 + 7*g - 3. Let w be d(5). Suppose 98 + w = 4*y. What is the tens digit of y? 9 Let z be -9 + 13 + -3 + 1. Suppose 2*q + w - 6 = 7, z*w = q - 9. What is the units digit of q? 7 Let f = 12733 - 8434. What is the tens digit of f? 9 What is the tens digit of ((-6)/(-4))/(21/48342)? 5 Let t be (-2)/(-9) - (-2235)/27. Suppose -261 + t = -2*l. What is the units digit of l? 9 Let g = -234 - -144. Suppose 2*r + 534 = 4*o, -4*o = -2*o + 4*r - 252. Let p = o + g. What is the tens digit of p? 4 Suppose 55*l - 317975 = -24*l. What is the hundreds digit of l? 0 Let q(g) = 33*g**3 - 2*g - 1. Let c be q(-1). Let b = c - -34. Suppose b*i - 315 = -5*k, 0 = k + 2*i + i - 63. What is the tens digit of k? 6 Let b(c) = -c**3 + 3*c**2 - c + 2. Let m be b(2). Suppose -3*j = 14 + 1, -2*q = 5*j - 125. Suppose -m*o + q = -5. What is the tens digit of o? 2 Suppose 5166 + 2298 = 8*y. What is the hundreds digit of y? 9 Let q(x) = -46*x**3 - 3*x**2 + x - 6. Let w be q(-4). What is the units digit of 4/(-32) + w/48? 0 Let w(f) = -36*f - 18. Let j be w(-10). Suppose 2*k + j = 5*k. What is the tens digit of k? 1 Suppose 0 = -29*p + 6794 + 61269. What is the hundreds digit of p? 3 Let m = -4 - -5. Let a be m + (-312)/(-4 - 0). Suppose -u + 25 = 3*s, s - 10 = -4*u + a. What is the tens digit of u? 2 Suppose -1009 = 7*l - 5174. What is the tens digit of l? 9 Let r(q) = q**2 - 4*q + 1. Let s be r(4). Suppose -h + 2 + s = 0. Suppose -3*z + 20 = z, -h*i + 61 = -z. What is the units digit of i? 2 Let j be 0*(-4)/8 - 24. Let z = j - -42. Suppose -5*f + 65 = y, -f - 3*y + 9 = -z. What is the units digit of f? 2 Let j = 0 - -14. Let x = 15 - j. What is the units digit of x? 1 Let h(b) = -b**2 - 8*b - 1. Let p be h(-5). Let f = 19 - p. Suppose -259 = -f*w + 51. What is the tens digit of w? 6 Let m(v) be the third derivative of -v**6/120 - v**5/6 + v**4/12 - 14*v**3/3 - 32*v**2. What is the tens digit of m(-11)? 7 What is the tens digit of 4/(-8) + 5722/4? 3 Let v = 28 + -24. Suppose 655 = v*h + h. What is the tens digit of h? 3 Let c(z) be the second derivative of 5*z**4/12 - z**2/2 + 4*z. Let b be c(1). Suppose 0 = -b*g + 6*g - 2. What is the units digit of g? 1 Let x(d) be the third derivative of 43*d**4/8 - d**3 - d**2 + 5. What is the tens digit of x(2)? 5 Let p = 119 - 151. Suppose 2*q - 147 = -q. Let a = p + q. What is the units digit of a? 7 What is the units digit of (-8)/((-40)/15) + 1 + 0? 4 Let i = -124 + 133. Suppose i*c - 2*c = 1218. What is the tens digit of c? 7 Suppose -1206 = -5*j - 2*u, j + 2*u - 726 = -2*j. Suppose -2*x = -w - j, -2*x - w - w + 228 = 0. What is the hundreds digit of x? 1 Let v(f) = 112*f - 572. What is the hundreds digit of v(30)? 7 What is the units digit of 4 + 76 - (2 + (1 - 1))? 8 Let u(q) = q**2 - q - 1. Let x be u(-2). Let j be 3 - 1 - (-520)/x. Suppose j = -22*f + 24*f. What is the units digit of f? 3 Suppose 4*w = -d + 2807 + 2554, 0 = 2*w + 5*d - 2667. What is the units digit of w? 1 Let j(c) = c**2 + 5*c + 6. Let u be j(-4). Let k be 17/5 + (-6)/15. Suppose -3*s - 9 = -2*v, 4*s + u = k*v - 2*v. What is the units digit of v? 6 Let y = -39 + 131. Suppose z + 2*k + 146 = 6*z, -3*z - k = -y. What is the units digit of z? 0 Let x(h) = -h**2 + 5*h - 1. Suppose 0 = -3*y - l + 18, 3*y - 5*y - 4*l + 12 = 0. Let q be x(y). Let i(t) = -t**2 - 6*t + 8. What is the units digit of i(q)? 1 Let x(h) = h**3 - 9*h**2 - 2*h + 11. Let t be x(9). Let p(z) = -z**3 - 6*z**2 + 15. What is the tens digit of p(t)? 6 Let l(b) = 8*b - 16. Let z be l(3). Suppose -5*n - 306 = -z*n. What is the units digit of n? 2 Suppose -f = 5*z + 4*f + 30, 3*z - 3*f = 12. Let t(m) = -238*m**3. What is the tens digit of t(z)? 3 Suppose -2*v = -10 - 0. Suppose 4*p - 477 = t, -t + 600 = v*p - 3*t. What is the hundreds digit of p? 1 Suppose -3 - 3 = -2*u. Suppose -2*z + z + 52 = -2*y, u*z - 211 = -5*y. What is the tens digit of z? 6 Let d(h) be the first derivative of 5*h**3/3 + 9. Let l be d(-1). Suppose l*p - 58 = 2*i + 37, 36 = 3*p + 3*i. What is the tens digit of p? 1 Let h(o) = 5*o**2 + 1. Suppose -t + 5*t + 4 = 0. Let z be h(t). Suppose -z*m + 3*m + 96 = 0. W
{ "pile_set_name": "DM Mathematics" }
-5). 47 Suppose -2*t + 0*k = 2*k - 36, 0 = -3*t + k + 66. Suppose 15 = 4*w + 4*n - 33, 5*n - 38 = -3*w. Let a = w + 49. Calculate the remainder when a is divided by t. 18 Let h = -127 - -234. Calculate the remainder when h is divided by 31. 14 Let a(g) = -14*g - 49. Calculate the remainder when a(-19) is divided by 11. 8 Let m(h) = 16*h**2. Let p be m(1). Let l = p - 16. Suppose l = 4*a - 12, 2*u - 5*a - 5 + 16 = 0. Calculate the remainder when 6 is divided by u. 0 Let q = -108 + 112. Suppose -11*p + 4*a + 697 = -6*p, 0 = q*p + a - 566. What is the remainder when p is divided by 11? 9 Suppose t - 5*t = -168. Let h = t - 39. Calculate the remainder when 16 is divided by h. 1 Let l = 2394 - 2363. What is the remainder when 82 is divided by l? 20 Let z be -36*((-22)/(-6) - 3). Let y = -21 - z. Let l = 6 - y. Calculate the remainder when l is divided by 2. 1 Let l = 94 - 304. Let j be 80/(-6)*(-9)/(-4). What is the remainder when 29 is divided by 4/j + (-2338)/l? 7 Let c = 988 - 973. Calculate the remainder when 1243 is divided by c. 13 Suppose 6*q = 8*q - 20. What is the remainder when 269 is divided by q? 9 Suppose -10*u + 5397 + 1803 = 0. Suppose -u = -19*z + 9*z. Calculate the remainder when z is divided by 20. 12 Suppose 8*x = -129 + 145. Suppose x*z - 13 = 1. Let t = -27 - -54. What is the remainder when t is divided by z? 6 Suppose 2*b = 8*v - 4*v + 100, -5*b = v - 261. Suppose 5*y = p - b, y = 2*p - 4*y - 94. Calculate the remainder when p is divided by 11. 9 Suppose 33 + 19 = 4*m. Suppose -268 + 1370 = 29*h. Calculate the remainder when h is divided by m. 12 Let b = 158 - 99. What is the remainder when 648 is divided by b? 58 Let i(x) = 3*x**2 - x. Let a be i(1). Let m be (a - (-33)/(-2))*-2. Let b = m + -10. What is the remainder when 75 is divided by b? 18 Suppose 2*x - 144 = -x. Suppose -4*f - 4*w = -x, 3*f - 38 = 5*w - 10*w. What is the remainder when 40 is divided by f? 7 Suppose r - h = -0*r, 0 = 4*r + 5*h - 18. Suppose -2*x = -0*x - 14. Let j = r + x. Calculate the remainder when 33 is divided by j. 6 Let y = 183 - 100. Suppose 49 = 4*v - y. Calculate the remainder when v is divided by 7. 5 Let b = 222 - 188. Suppose 3 = 3*a - 33. What is the remainder when b is divided by a? 10 Suppose -p - 44 = -2*h, -3*h = -2*p - 94 + 27. Let n(k) = k**3 - 13*k - 4. What is the remainder when h is divided by n(-3)? 5 Let k(b) = 2*b**2 + 39. Calculate the remainder when 505 is divided by k(0). 37 Let w be (-3 - -2 - 7) + (1 - -2). Let x = 81 - 57. Calculate the remainder when x is divided by ((-57)/(-9) + w)*42/4. 10 Let g(t) = t**2 + 31*t + 50. What is the remainder when 21 is divided by g(-30)? 1 Suppose 70*l = 65*l + 665. What is the remainder when 1327 is divided by l? 130 Suppose c - 5*w - 17 = 17, 2*w - 34 = -c. What is the remainder when c is divided by 5? 4 Suppose 4*h - 90 = -2*c, -3*c = 4*h - 7*h + 63. Let d(r) = r**2 - r - 1. Let o = 6 - 12. What is the remainder when d(o) is divided by h? 19 Let g(v) = 23*v - 23. Let h be g(5). Let x = 104 - h. Calculate the remainder when 41 is divided by x. 5 Calculate the remainder when 616/66*(-2 - 50/(-4)) is divided by 17. 13 Suppose 5*w = p + 4, 2*w + 1 = -4*p + 7*w. Let b(n) = -n + 11. Calculate the remainder when b(6) is divided by p. 0 Let j = 5 - -6. What is the remainder when 1*(1 + 1) + (-39)/(-1) is divided by j? 8 Calculate the remainder when 233 is divided by -1 - 70/(49/(-7)). 8 Let p(l) = l + 12. Let t be p(6). Suppose -34 = -4*v + t. Calculate the remainder when 36 is divided by v. 10 Let q(b) = b - 5. Let t be q(8). Suppose -5*r = -t*r. Suppose r = -2*a - 29 + 169. Calculate the remainder when a is divided by 18. 16 Suppose -3*v + 81 = -33. Calculate the remainder when v is divided by -4 + 18*(-3 - -4). 10 Let k(u) = -u**2 + u + 3. Let p be k(3). Let i be 228/18 + (-1)/p. Suppose -3*y + 21 = 5*z, -3*y + 4 = -5*z + i. Calculate the remainder when 6 is divided by y. 0 Suppose -16 = 2*m + 4. Let s = 24 + m. What is the remainder when (-1)/(-4) + ((-4650)/(-24))/5 is divided by s? 11 Let l be 250/(-15)*(-18)/15. Suppose l*g - 45 = 15*g. Suppose 7*h - 2*h = 2*f - 95, -130 = -4*f - 2*h. What is the remainder when f is divided by g? 8 Let x = -32 - -32. Suppose 193 = 3*p - 5*l - 160, 4*p + 3*l - 490 = x. What is the remainder when p is divided by 31? 28 Suppose -3*u + b = -43, 2*u = -390*b + 388*b + 42. What is the remainder when 197 is divided by u? 5 Let f = -4 + 0. Let v = 10 + f. What is the remainder when (2/2)/(-5 + v) is divided by 1? 0 Suppose t - y = -t - 4, 0 = -5*t - 4*y - 36. Let j = 46 - t. Calculate the remainder when j is divided by 26. 24 Suppose 15*k = 13*k + 54. Let r = -50 - -55. What is the remainder when k is divided by r? 2 Suppose 2*i - 3*k - 221 = -8, 0 = i + 4*k - 134. Calculate the remainder when i is divided by 25. 14 Suppose 25 = -9*h + 142. Calculate the remainder when 22 is divided by h. 9 Suppose o + 2*k - 17 = 0, -4*k = 2*o - 6*k - 58. Let y = 10 + -14. Let p(h) = h**2 + 2*h - 1. Calculate the remainder when o is divided by p(y). 4 Suppose 0 = 3*p + p. Let y = 58 + -30. Calculate the remainder when y is divided by (1 + p)*-2 - -17. 13 Let z(r) be the third derivative of r**6/120 + r**5/20 + r**4/24 + 13*r**3/6 + 30*r**2. What is the remainder when 36 is divided by z(0)? 10 Suppose -3*p - p + 40 = 0. What is the remainder when p is divided by 2*(4 + 2/(-4))? 3 What is the remainder when 550 is divided by (17/3 + 2)*(9 + 0)? 67 Let t(p) = -p**3 - 3*p**2 - p - 5. Let n be t(-4). Let r be (-6)/n - (-394)/10. Let x = r - 28. What is the remainder when 32 is divided by x? 10 Let h be (-39)/(-2)*4/3. Let b = 118 - 136. Let c = h + b. What is the remainder when c is divided by 2? 0 Let j be (15 + -9)*2/(-4). Calculate the remainder when 2/j + (4 - (-344)/3) is divided by 31. 25 Let g(t) = -t**3 - 3*t**2 + 18*t + 13. What is the remainder when g(-6) is divided by 6? 1 Suppose -8 = 4*q - 0*q. Suppose -6 = 40*s - 43*s. Calculate the remainder when 56 - s/((-4)/q) is divided by 14. 13 Suppose 0 = y - h - 27 - 13, 3*y - 140 = -2*h. Suppose -4*p + 14 + 154 = 4*i, p = i - y. What is the remainder when i is divided by 23? 20 Suppose 0 = -m + 2 + 1. Suppose 0 = m*q - 4 - 5. Let c(o) = -o**3 + 4*o**2 - 2*o + 3. What is the remainder when c(3) is divided by q? 0 Let r = 1585 + -783. What is the remainder when r is divided by 35? 32 Let f(u) = -u - 6. Let h be f(-13). Suppose 0 = h*k - 4*k - 339. What is the remainder when k is divided by 23? 21 Let c(h) = -h**2 + 68*h - 566. Calculate the remainder when 546 is divided by c(57). 58 Let t(d) = 8*d + 71. Calculate the remainder when 112 is divided by t(-6). 20 Suppose 3*a - 8 = 2*a. Suppose m + 2 - 23 = 0. Calculate the remainder when m is divided by a. 5 Suppose -7*q = -3*q - 4. Let b be 15/(-5) + -14*q. Let g = 28 + b. Calculate the remainder when g is divided by 6. 5 Let d(k) = -k**3 - 15*k**2 - 16*k + 17. Suppose -44 = 6*i + 40. What is the remainder when d(i) is divided by 25? 20 Suppose 53 - 223 = -4*q - 5*v, 0 = 4*q - 5*v - 190. What is the remainder when 89 is divided by q? 44 Suppose 152 = -f + 3*f. Calculate the remainder when f is divided by 165/6*((-329)/(-35) - 9). 10 Let a(y) = -2 + 5*y**2 - 5*y - 2*y**2 + 0*y + 4. Let n be a(2). Suppose 101 = 5*i + n*q, 3*q = -i + 5*q + 9. Calculate the remainder when i is divided by 5. 2 Let q = 41 - 29. Let f be (3/q)/(2/40). Suppose 41 + 29 = 5*i - 2*x, f*x = -i + 14. Calculate the remainder when 39 is divided by i. 11 What is the remainder when ((-26)/(-3)*(-72)/8)/(-2) is divided by (-28)/(-6) - (-12)/(-18)? 3 Let q(j) = -15*j**2 - j + 35. Suppose 4*v - 8 + 0 = 0. Suppose -v*s = -4*s + 18. What is the remainder when q(0) is divided by s? 8 Suppose -8 - 47 = 2*v - 5*u, 0 = -4*u - 4. Let g = v + 44. Suppose -4*r + 45 = r. Calculate the remainder when g is divided by r. 5 Let m(c) be the third derivative of c**5/20 + 11*c**4/24 - 10*c**3/3 - 48*c**2. What is the remainder when m(-7) is divided by 14? 8 Suppose -i = -2*b - 46, -b = -4*i + 130 + 47. What is the remainder when 110 is divided by 2/(-8) - (-363)/i? 6 Suppose 3*d - 14 = d. Suppose 2*w - 130 = -3*w. What is the remainder when w is divided by d? 5 Let s(o) = o**2 + 7*o + 5. Suppose 0 = 6*z - 8*z - 14. What is the r
{ "pile_set_name": "DM Mathematics" }
+ 8*k**3/9 - 4*k/3 - 8. Let s(f) = 0. What is f? -1, 1 Let c = 1009/9 - 112. Let j(l) be the second derivative of 1/15*l**6 + 2/3*l**2 + l + 0 + 1/30*l**5 - c*l**3 - 5/18*l**4. Let j(p) = 0. Calculate p. -1, 2/3, 1 Let k be (-2)/(58/31) + 1. Let v = 64/87 + k. What is l in -v*l + 7/3*l**3 + 5/3*l**2 + 0 = 0? -1, 0, 2/7 Let n(c) be the second derivative of 1/18*c**4 - 1/3*c**2 + 0*c**3 - 4*c + 0. Factor n(y). 2*(y - 1)*(y + 1)/3 Factor -4/9*l**4 + 0*l + 2/3*l**3 + 0 - 2/9*l**2. -2*l**2*(l - 1)*(2*l - 1)/9 Let j(k) be the first derivative of -2*k**3/3 - 28*k**2 - 392*k - 11. Factor j(x). -2*(x + 14)**2 Let d be 159/7 - (-2)/7. Suppose -d - 19 = -5*y + c, -y - 5*c = 2. Factor u**3 - 3*u**4 + 2*u**2 - y*u**2 - 9*u**3 + 1. -(u + 1)**3*(3*u - 1) Let f be 4/(-10) + 8/20. Suppose v - 7 = -2*h, f*h - 5 = -v - h. Factor -r + v*r + r - 2*r**2 - r. -2*r*(r - 1) Let k(h) = -2*h - 7. Let s be k(-5). Find x such that -6*x**4 - 4*x**5 + s*x**3 + 0*x**5 + 6*x**2 + x**5 = 0. -2, -1, 0, 1 Let d(o) = -o - 3. Let q be d(6). Let j be 6/27 + (-2)/q. Find i such that 0 + 2/9*i**2 + j*i = 0. -2, 0 Let k(m) be the first derivative of -m**4 + 8*m**3/3 + 44. Find d such that k(d) = 0. 0, 2 Let i(r) = -r**2 + 5*r + 5. Let o be i(4). Suppose 2*t - 2*t**3 + 1 + 9*t**2 + t**4 - 2 - o*t**2 = 0. What is t? -1, 1 Let k(q) be the first derivative of -2*q**6/45 - 2*q**5/15 - q**4/6 - q**3/3 - 6. Let v(t) be the third derivative of k(t). Find i such that v(i) = 0. -1/2 Let c = 13 + -11. Factor 0*q**c + q**2 - q**2 - q**2. -q**2 Let s(z) = 4*z**2 + 6*z + 2. Let v(h) = -5*h**2 - 6*h - 3. Let g(y) = -7*s(y) - 6*v(y). Factor g(w). 2*(w - 2)*(w - 1) Let t be 4*1/2 - 1. Suppose g = 4 - t. Let -2*i**g - 5 - 2*i**5 + 5 - 4*i**4 = 0. What is i? -1, 0 Let h(n) be the first derivative of 2*n**3/9 - 5*n**2/12 + n/6 - 5. Factor h(t). (t - 1)*(4*t - 1)/6 Let d = -19317/6035 + 1/1207. Let n = d - -47/10. Find z such that 0 - n*z**3 - 1/2*z - 3/2*z**2 - 1/2*z**4 = 0. -1, 0 Let j(u) be the first derivative of u**4/4 - 4*u**3/3 - 2*u**2 - 3*u + 7. Let l be j(5). Factor 0 + 0*q - 4/9*q**l + 2/9*q**3. 2*q**2*(q - 2)/9 Let c(i) be the second derivative of i**5/20 - i**3/3 - i**2/2 - 6*i. Let x be c(2). Factor 0*u**2 - 2/3*u**5 + 4/3*u**x - 2/3*u + 0 + 0*u**4. -2*u*(u - 1)**2*(u + 1)**2/3 Suppose -5*b + 18 = q, 2*b = 3*b - 3. Factor -q*o + 5*o + 2*o**2 + 0*o. 2*o*(o + 1) Let u(q) be the first derivative of 3*q**7/35 - q**6/3 + 13*q**5/30 - q**4/6 - 3*q**2/2 + 2. Let z(k) be the second derivative of u(k). Factor z(s). 2*s*(s - 1)**2*(9*s - 2) Determine l, given that -4*l**4 - 40*l**3 + 5*l**2 + 5*l**5 + 25*l**3 + 10*l - l**4 = 0. -1, 0, 1, 2 Let f(k) be the first derivative of -2*k**3/9 + 2*k**2/3 - 2*k/3 + 1. Factor f(n). -2*(n - 1)**2/3 Let q(x) = 2*x**5 - 2*x**4 - 2*x**3 + x**2 - x. Let n(p) = -p**5 + p**4 + p**3 + p. Let a(z) = -n(z) - q(z). Factor a(b). -b**2*(b - 1)**2*(b + 1) Let z(t) be the second derivative of -1/10*t**5 + 0 - 1/45*t**6 + 1/18*t**4 + 0*t**2 + 0*t**3 + 3*t + 1/21*t**7. Let z(l) = 0. Calculate l. -1, 0, 1/3, 1 Let k(n) be the second derivative of -1/5*n**6 - 1/6*n**4 + 0*n**3 + 3/10*n**5 - 3*n + 0*n**2 + 0 + 1/21*n**7. Factor k(z). 2*z**2*(z - 1)**3 Let f(w) = w**3 - 7*w**2 - 9*w + 10. Let d be f(8). Find c, given that 2*c**2 - 5 + 5 + 4*c**d - 2*c = 0. 0, 1/3 Let q(j) = 3*j**2 + 15*j + 15. Let m(o) = o**2 + o + 1. Let a = -5 - -6. Let y(z) = a*m(z) + q(z). Factor y(f). 4*(f + 2)**2 Let g = 4/23 - -291/46. Determine m, given that 21/2*m**2 - g*m + 1 = 0. 2/7, 1/3 Let t(j) be the second derivative of j**4/48 - j**2/8 - 7*j. Suppose t(c) = 0. What is c? -1, 1 Solve -1/3*c + 0*c**2 + c**5 - 8/3*c**4 + 0 + 2*c**3 = 0 for c. -1/3, 0, 1 Let u(j) be the third derivative of -7*j**5/100 + 13*j**4/120 - j**3/15 + 3*j**2. Determine n so that u(n) = 0. 2/7, 1/3 Let i be ((-40)/(-44))/5 + (-6)/33. Factor i*f + 1/5*f**2 + 1/5*f**3 + 0. f**2*(f + 1)/5 Let w(p) be the second derivative of -4/15*p**3 + 4/5*p**2 - 1/10*p**5 - 6*p + 0 - 13/30*p**4. Factor w(i). -2*(i + 1)*(i + 2)*(5*i - 2)/5 Let l(a) be the second derivative of 4*a + 1/20*a**5 - a**2 + 0 + 1/30*a**6 - 1/4*a**4 - 5/6*a**3. Factor l(q). (q - 2)*(q + 1)**3 Let u(p) be the second derivative of -1/6*p**4 + p**2 - 1/3*p**3 - 4*p + 0 + 1/10*p**5. Factor u(q). 2*(q - 1)**2*(q + 1) Suppose 3*d**4 + 5*d**3 - 4*d**3 + 4*d**3 - 2*d**3 = 0. Calculate d. -1, 0 Let h(b) = 15*b**2 - 30*b - 18. Let f(l) = -l**2 + l - 1. Let g(t) = -6*f(t) + h(t). Let g(i) = 0. Calculate i. -2/7, 2 Suppose 15*k - 6*k = -11*k. Suppose k*x - 8/7 + 2/7*x**2 = 0. Calculate x. -2, 2 Let d(t) be the first derivative of 0*t**2 - 5 + 2/15*t**3 + 0*t. Determine s so that d(s) = 0. 0 Let y(d) be the first derivative of 7*d**6/27 + 2*d**5/9 - d**4/2 - 10*d**3/27 + 2*d**2/9 + 16. Find l, given that y(l) = 0. -1, 0, 2/7, 1 Let s(n) = n**2 - 5*n - 7. Let w be s(7). Let z be 2/(-6) + w/12. What is t in 0*t + z*t**2 - 1/4 = 0? -1, 1 Let u = 17 + -23. Let d be 3/u*(4 + -4). Factor d + 2/3*c**2 + 2/3*c. 2*c*(c + 1)/3 Let a(x) be the third derivative of -1/8*x**4 + 0*x**3 + 0*x + 0*x**5 + 1/40*x**6 + 2*x**2 + 0. Factor a(p). 3*p*(p - 1)*(p + 1) Let x(t) be the second derivative of t**8/1470 - 2*t**7/735 + t**6/252 - t**5/420 - t**3 + 3*t. Let s(b) be the second derivative of x(b). Solve s(c) = 0 for c. 0, 1/2, 1 Let m be 66/84 - ((-3)/(-2))/3. Let 0*q**2 + 2/7*q**4 + 0 + 0*q + m*q**3 = 0. Calculate q. -1, 0 Suppose d = -4*n + 24, -5*n + 30 = d + d. Factor 0*c**4 + 0*c**3 + 3*c**5 - n*c**4 + 3*c**3. 3*c**3*(c - 1)**2 Let k(l) = l - 7. Let r be k(10). What is b in -2*b**3 + b**2 - 3 + 3 - 2*b + r*b**2 = 0? 0, 1 Let z(j) be the second derivative of -j**4/16 + j**3/8 + 3*j**2/4 + 4*j. Factor z(b). -3*(b - 2)*(b + 1)/4 Factor -9*t**2 + 3/4*t**4 - 3*t**3 + 24*t + 48. 3*(t - 4)**2*(t + 2)**2/4 Suppose -6 = -3*w - 7*b + 5*b, 0 = 2*b. Suppose 1/4*r**4 - 1/2*r**w + 0*r**3 + 1/4 + 0*r = 0. Calculate r. -1, 1 Let v be 0 - 11/(385/(-10)). Factor 0*s**3 + 0 + v*s**4 - 2/7*s**2 + 0*s. 2*s**2*(s - 1)*(s + 1)/7 Let h(p) = p**3 + 2*p**2 + p + 4. Let c be h(-2). Factor 0*s + 2/9*s**c + 0 - 2/9*s**3. -2*s**2*(s - 1)/9 Let b(m) = -m**3 + 4*m**2 - 4*m + 2. Let k be b(2). Suppose l - k*l + 2 = 0. Let 2 - l*t**2 + t - t**2 + 2*t**2 = 0. Calculate t. -1, 2 Let c(o) be the third derivative of o**5/270 - 2*o**4/27 + 4*o**3/9 - 37*o**2. Solve c(m) = 0 for m. 2, 6 Find n such that -6*n**4 - 18*n**3 + 66*n**4 - 17*n**3 + 35*n - 55*n**2 - 5 = 0. -1, 1/4, 1/3, 1 Let h(z) be the first derivative of z**8/1512 + 2*z**7/945 - z**5/135 - z**4/108 - 3*z**2 - 3. Let a(p) be the second derivative of h(p). Factor a(k). 2*k*(k - 1)*(k + 1)**3/9 Let k be ((-24)/(-70))/((-39)/(-30) + -1). Let -2*z**3 - 16/7*z - 38/7*z**2 + k = 0. What is z? -2, -1, 2/7 Let v = 40 + -36. Let b(s) be the third derivative of 0*s + 1/20*s**5 + 0 + v*s**2 + 1/2*s**3 - 1/4*s**4. Let b(t) = 0. What is t? 1 Let z(h) be the second derivative of 0*h**5 + 0*h**2 - 2*h - 1/10*h**6 + 0 + 0*h**3 + 1/14*h**7 + 0*h**4. Suppose z(i) = 0. Calculate i. 0, 1 Suppose -z + 5*w = z, -z + 3*w = 0. Let 1/2*k**5 - 1/2*k**3 + 0*k**4 + 0*k + 0 + z*k**2 = 0. What is k? -1, 0, 1 Let c(o) be the second derivative of 27*o**6/2 + 99*o**5/2 + 785*o**4/12 + 110*o**3/3 + 10*o**2 - 71*o. Let c(p) = 0. What is p? -1, -2/9 Let l = 425/3 + -141. Factor 0*v + 2/3*v**3 + 2/3*v**2 + 0 - 2/3*v**5 - l*v**4. -2*v**2*(v - 1)*(v + 1)**2/3 Let f(d) = d - 5. Let b be f(7). Factor 7*c - 3 + 4*c**b - 5*c + 3 + 2*c**3. 2*c*(c + 1)**2 Suppose 4*j - 1 - 11 = 0. Let -3*z - z**2 - z + j*z**2 = 0. What is z? 0, 2 Factor 23 + 32*d - 4*d**2 - 87 + 0*d. -4*(d - 4)**2 Suppose -2*c = -o - 3*c - 2, -3*o + 14 = -c. Solve -6*k**4 + 2*k**5 - 5*k**3 - 14*k**2 + 12*k**2 + 11*k**o = 0 for k. 0, 1 Let h(r) be the second derivative of 0*r**2 - 1/18*r**4 - 1/15*r**5 - 2*r - 1/45*r**6 + 0*r**3 + 0. Solve h(j) = 0. -1, 0 Find b, given that -22*b**3 - 20*b + 40*b**2 - 16*b**3 - 4*b**5 + 20*b**4 - 2*b**3 + 4 = 0. 1 Let y(j) = j**5 - 2*j**4 + 4*j**3 + j**2 - 2*j - 5. Let t(o) = -2*o**4 + 4*o**3 + 2*o**2 - 2*o - 4. Let r(k) = -6*t(k) + 4*y(k). Find p such that r(p) = 0. -1, 1 Suppose -4*b - 2*k + 13 = 3*k, -4*b = -3*k - 5. Determine x, given that -x**3 - 1/2 + 3/2*x**b + 0*x = 0. -1/2, 1 Let p(y) be the second deriva
{ "pile_set_name": "DM Mathematics" }
Let f(g) = 4*g**2 - 1 + 7*g + 4 - j*g**2. Calculate f(-5). -7 Let u = -15 + 11. Let n(p) = 1 + 0 - 16*p + 21*p - p**3 - 3*p**2. Give n(u). -3 Let n(g) = -g**3 - 2*g**2 - 2*g + 2. Let i(f) be the first derivative of f**4/4 + f**3 + 3*f**2/2 - f + 4. Let z(y) = -3*i(y) - 4*n(y). Give z(0). -5 Let c(u) = u**3 - 3*u**2 - 4*u - 2. Suppose -4*x = -6*x + 26. Let n = x + -9. Determine c(n). -2 Let v = -6 + 9. Let w(d) = 3 + d**v + 0 + 1 - 3*d - d**2 - 7. Give w(3). 6 Let j(w) = -4*w**3 + w**2 + w + 1. Let p(o) = -o - 5. Let i be p(-8). Suppose -i*q = q + 4. What is j(q)? 5 Suppose -4*n = 12, 5*n = 2*v + 4*n + 5. Let p(t) be the second derivative of t**4/12 + 2*t**3/3 - t**2 + 3*t. Determine p(v). -2 Suppose 4*o - 5*p = -12, -3*p - 6 = 2*o - 6*p. Let k(w) = -w**2 + 4. Calculate k(o). -5 Suppose 4*g - 1 = 3*g. Suppose 5 = -w + g. Let n(v) = -2*v - 5. Determine n(w). 3 Let l(y) = -y**3 + 3*y + 3. Let v be 3/(-5 - 42/(-12)). Determine l(v). 5 Let w = -6 - -16. Let g(z) = z**3 - 9*z**2 - 11*z + 5. Let m be g(w). Let x(n) = -n - 12. What is x(m)? -7 Let u(j) = -j**3 - 2*j**2 + 2*j. Let l be 10/4*(-6)/5. What is u(l)? 3 Suppose -2*s + 4 = c, 3*c + s = -0*c + 32. Suppose j = -2*h, -j + 2*h = -4*j + c. Suppose -f = 2*f + j. Let g(t) = t**3 + t**2 + t + 1. Determine g(f). -5 Let a(r) = -r**3 + 6*r**2 + 7*r - 6. Suppose -15*n + 11*n = -28. What is a(n)? -6 Let d(w) = -w**3 - 4*w**2 - 4*w - 2. Suppose 16*c + 33 - 1 = 0. Give d(c). -2 Let g(i) = 3*i + 0 + 4 + 0*i - 4*i. Suppose w - 1 = -t, 3*w - 4*t + 12 = -6. Let a = 2 + w. Give g(a). 4 Let m(h) be the second derivative of -h**3/6 - 5*h**2/2 + 7*h. Give m(6). -11 Let d(a) be the second derivative of a**5/60 + a**4/12 + a**3/3 - a**2/2 - 2*a. Let f(u) be the first derivative of d(u). Let g = -9 + 6. Give f(g). 5 Let k(i) = 3*i**2 - 7*i - 5. Let m(q) = 7*q**2 - 14*q - 10. Let f(b) = -9*k(b) + 4*m(b). Calculate f(-7). 5 Let c(n) = -n**2 - 7*n - 6. Suppose -5*o + 1 = 21. What is c(o)? 6 Let d(s) = s + 2*s - 4*s. Let h be (3/6)/(3/24). Suppose z + 2*n = 1, 0*z + h*z - 3*n = -18. What is d(z)? 3 Let u be 1*1/(-1 + 0). Let g = u - -1. Let i(n) = -9*n + 10. Let s(w) = 5*w - 5. Let m(o) = 4*i(o) + 7*s(o). Determine m(g). 5 Let s = 23 - 11. Let u = 7 - s. Let w(c) be the third derivative of -c**6/120 - c**5/12 - c**2. What is w(u)? 0 Let r(u) = 3*u - 2. Let y be 2/(-8) - 43/4. Let a = -13 - y. Give r(a). -8 Suppose -5*f + 3*x - 1 + 9 = 0, 4 = -4*x. Let o(t) = -t**2 + f + 4 - 4*t + 1. Give o(-5). 1 Let k(n) = n**3 + 5*n**2 + 5*n + 5. Let r be k(-4). Suppose 6 = 3*l - 0*l. Let v(g) = 2*g - l*g - g**2 + 1 - g. What is v(r)? -1 Let y = -6 - -3. Let b(m) be the first derivative of 3*m**2/2 + 9*m - 1. Let r(a) = -1. Let f(j) = b(j) + 6*r(j). Give f(y). -6 Let s(m) be the first derivative of -4*m + m**3 + 1/4*m**4 + 1 + 1/2*m**2. Give s(-3). -7 Let k be ((-2)/(-2) - 4) + 1. Let j(d) = 4*d**2 - d - 2. Calculate j(k). 16 Let r(j) be the first derivative of j**2/2 - 4*j - 4. Determine r(-5). -9 Let v(m) = m. Let x = 18 - 21. Calculate v(x). -3 Suppose -x = -1, 2*x = -5*l - 0*x + 12. Let f(v) be the second derivative of -1/6*v**4 + 0*v**3 + 6*v + 0 + 1/10*v**5 - 1/2*v**2. What is f(l)? 7 Let v(n) = -n**3 + 3*n**2 - n + 4. Let g(m) = 6*m**3 - 16*m**2 + 5*m - 19. Let h(u) = -2*g(u) - 11*v(u). Determine h(0). -6 Let j(v) = -5*v**2 + 12*v - 6. Let h(z) = -2*z**2 + 9*z - 4. Let m(o) = 5*o**2 - 26*o + 11. Let s(q) = -7*h(q) - 2*m(q). Let b(p) = 3*j(p) + 4*s(p). Give b(6). -6 Let x(z) = -z - 4. Let a be 1/(-4) - (-1)/4. Let p be (-10)/(-5) + (-1 - -1). Suppose -l - 4*l = v + 23, -p*l - 3*v - 17 = a. Give x(l). 0 Let v be 1/2*(-1 + 9). Suppose -5*j + 0*j = 0. Let u(y) = -2 + j*y - 3*y - 5*y**2 + v*y**2. Determine u(-2). 0 Let o(y) = 6*y**3 - y**2 + 1. Let a be (2 + -1)/(-1)*-1. What is o(a)? 6 Let w(o) = -o**3 + o**2 - 2*o + 1. Let x be w(1). Let m = -2 + 4. Let n(g) = -g**2 + 4*g**2 + 0*g**m - 1. What is n(x)? 2 Let w(c) = -16*c + 1. Suppose 3*z = 4*a - 19, a + 0*z = 4*z + 21. Calculate w(a). -15 Let a(d) = -9*d**3 - 12*d**2 - 23*d - 8. Let z(u) = 4*u**3 + 6*u**2 + 11*u + 4. Let p(o) = -3*a(o) - 7*z(o). Give p(-5). 11 Let r(w) = -3*w**2 - w. Suppose 0 = 4*a - 3*l + 39, 5*l - 1 = 24. Let u = -10 - a. Let f = u + 3. Calculate r(f). -2 Let p(q) be the second derivative of -q**4/12 + q**3/6 - 7*q**2/2 + 30*q. What is p(0)? -7 Let n(p) = -p**3 + 4*p**2 - 3*p. Suppose 0 = 4*j - 25 + 1. Let h(d) = d**2 + d + 2. Let a be h(2). Let k = a - j. Calculate n(k). 2 Let r(c) = -c**2 - 22*c + 2. Let j be r(-22). Let w(m) = m**2 + m. Determine w(j). 6 Let z(i) = -i**3 - 2*i**2 - i - 2. Let f be z(-2). Suppose -y = -0*y - 1. Let u(w) = -y + f*w**2 + w**2 - w - 3*w**2. Determine u(-1). -2 Suppose 0*a + 6 = 2*a. Let z(t) be the first derivative of -1 - 8*t - 1/3*t**a - 1/2*t**2 + 1/4*t**4. Give z(0). -8 Let m(f) be the second derivative of f**6/240 - 7*f**5/120 + f**4/12 - f. Let y(r) be the third derivative of m(r). Give y(5). 8 Suppose 0 = 2*n + 18 + 14. Let v be (2/4)/((-2)/n). Suppose 0 = -v*b - 11 - 5. Let z(h) = -h**3 - 4*h**2 + 3*h + 5. What is z(b)? -7 Let k(y) = -y**2 - 2*y + 1. Suppose -4*x - x + l - 8 = 0, -5*x - 5*l + 10 = 0. Let n(c) = 2*c**2 + c + 1. Let i be n(x). Suppose i = -g - 0*g. What is k(g)? 1 Let q(o) = o - 2. Suppose -7*i - 190 = -12*i. Let z(r) = -r**3 - 4*r**2 + 3*r - 2. Let m be z(-5). Let y be i/(-8) + (-2)/m. Determine q(y). -7 Suppose 7*p - 16 = 33. Let b(x) be the third derivative of -x**6/120 + 2*x**5/15 - 7*x**4/24 - 5*x**3/6 + x**2. Calculate b(p). -5 Let g(a) = -a + 2. Let z(c) = -c**3 - 9*c**2 + 10*c + 3. Let x be z(-10). Suppose -x*s + 3 = -4*s. Calculate g(s). 5 Let p(a) = -9*a**3 + 4 + 9*a**3 - 2*a**2 - a - 3 - a**3. Give p(-2). 3 Let c(u) = -3*u. Let y(z) = -z. Let a be (-15)/(-21) + 4/14. Let d(p) = a*c(p) - 2*y(p). Calculate d(-3). 3 Let a(n) = -n**3 + 6*n**2 + 8*n - 10. Suppose -5*i + 53 = -27. Suppose 0 = -4*f + 3*d + i, 4*f - 4*d - 13 + 1 = 0. Calculate a(f). -3 Let s(l) = l**2 - 5*l + 7. Suppose -5*g - 16 + 1 = 0. Let a be (-7)/g - 2/(-3). Suppose -5*b = -28 + a. Give s(b). 7 Let v(a) = -a - 2. Let d(b) = -1 + b + 1 - 2. Let n be d(0). What is v(n)? 0 Let a(f) = 9*f**2 - 5. Let z(j) = 9*j**2 - 4. Let q(b) = -2*a(b) + 3*z(b). Let i(y) = -5*y**2 + 1. Let t(m) = -11*i(m) - 6*q(m). Let l = 11 - 9. Determine t(l). 5 Suppose -5*l + 10 = -3*l, -4*m + 3*l = 7. Let r(d) be the second derivative of -d + 1/2*d**m + 0 + 5/6*d**3. What is r(1)? 6 Let x(c) = c - 4 - 6 + 1. What is x(5)? -4 Let p(w) = 9*w + 11. Let v(l) = -5*l - 6. Let i(y) = 4*p(y) + 7*v(y). Give i(-5). -3 Suppose 5*m - f - 4 - 11 = 0, -3*m + 17 = f. Let x(s) = s**2 + 0*s**2 - m*s + s**3 + 3*s. Suppose -8 = 5*l + 3*l. Give x(l). 1 Let g(l) = -l**3 - 10*l**2 - 7*l + 21. Let x be g(-9). Let u = 10 - 6. Let o(z) = -2*z - 1 + x*z - u. Calculate o(5). 0 Let f = 6 - 4. Let l(u) = 0*u**2 + u**3 - u - u**f + 0 + 1. Determine l(1). 0 Let m(t) = -7*t**2 - 3*t - 5. Let v(g) = 3*g**2 + g + 2. Let r(o) = -4*m(o) - 9*v(o). Suppose 5*n + 0*l + 18 = -3*l, n + 4*l + 7 = 0. What is r(n)? 2 Let t = -62 + 55. Let y(n) = -n**3 - 6*n**2 + 6*n - 2. Determine y(t). 5 Let i = 12/13 - 23/39. Let b(o) be the second derivative of 2*o + 0 - 5/2*o**2 - i*o**3. Give b(-5). 5 Let z(y) = -4 + 8*y + y**2 + 0*y - 4*y. Calculate z(-7). 17 Let m(c) = c**3 - 7*c**2 + c. Suppose 0 = t - 4*r - 7, 28 = 4*t - r - 4*r. Calculate m(t). 7 Let k(i) = 7*i - 8*i + 5*i. Let g(b) = b - 7. Let j be g(5). Determine k(j). -8 Let r(m) = 2*m - 4. Let o be r(3). Let h(k) = 2*k**2 + k. Let c be h(-1). Let y(t) = -6*t + 2 + c - t. Give y(o). -11 Let v(f) be the first derivative of -f**2/2 - 6*f + 1. Let z(l) = -3*l**3 - l**2 + 2*l - 1. Suppose -4*i - 6 = 3*g - 1, 3*i = -6. Let q be z(g). Determine v(q). -3 Let h = -13 - -20. Suppose p + 3 = 2*p, 0 = 5*t + 5*p - 25. Let c(y) = 0*y + y + h*y**t + 1 + 3*y - 3*y. Determine c(-1). 7 Let o(y) be the first derivative of y**2/2 + 8*y + 2. Let s be 19*1/1 + -2. Let r = 12 - s. Give o(r). 3 Suppose d + 3 = -d - 5*u, -2*d + 5 = -3*u. Let m(v) = -2 - 5*v + d + 3*v. Let j be -4*(-1 - 2/(-4)). Calculate m(j). -5 Suppose -5*j + 10 = 5*i, 2*j + 3*i = -0*j + 4. Let x(q) = q - 4. Calculate x(j). -2 Let m(d) = d**2 + 8*d + 12. Let k be m(-4). Let c(h) = -h**3 - 3*h**2 + 4. What is
{ "pile_set_name": "DM Mathematics" }
o - 1). Find the third derivative of 0*n**4 - n**2 - y*n**4 + 3*n**2 wrt n. -48*n Let k(r) be the third derivative of 0*r**5 + 0*r**6 + 0*r**3 + 1/210*r**7 - 5/12*r**4 + 7*r**2 + 0 + 0*r. What is the second derivative of k(d) wrt d? 12*d**2 Let y(h) be the third derivative of h**6/24 + 7*h**3/6 + 2*h**2. Differentiate y(i) with respect to i. 15*i**2 Suppose 5*i - 5 = 35. Let b(q) = q**3 - 9*q**2 + 7*q + 8. Let a be b(i). Find the first derivative of 0*g**2 - 4*g**2 + a*g**2 + 2 + 3*g**2 wrt g. -2*g Let v(z) = z**2 - 1. Let d(m) = m + 8. Let b be d(-10). Let h(u) = 7*u**2 + 5*u - 2. Let y(q) = b*v(q) + h(q). What is the second derivative of y(j) wrt j? 10 Let n be (-1)/(-6) - (-28)/(-168). Let r(z) be the third derivative of n + 4*z**2 + 1/8*z**4 + 0*z + 2/3*z**3. What is the derivative of r(b) wrt b? 3 Let g(s) be the second derivative of s**5/20 - s**4/3 + 3*s**2/2 + s. Let m be g(4). What is the third derivative of 3 - 2*c**2 - m*c**3 - 5 + 2 wrt c? -18 Let h(j) be the second derivative of j**5/2 - 3*j**4/4 - 9*j. Find the third derivative of h(w) wrt w. 60 Let y(i) be the second derivative of -7*i**6/15 + 2*i**2 - 10*i. Find the first derivative of y(s) wrt s. -56*s**3 What is the first derivative of 89*m**2 + 31 + 125*m**2 - 186*m**2 wrt m? 56*m Let z(h) be the second derivative of h**8/1680 + h**5/120 - h**3/3 + 2*h. Let f(m) be the second derivative of z(m). Find the second derivative of f(n) wrt n. 12*n**2 Let b = -26 + 28. Find the first derivative of 10 + 0*a**2 - 4 - 6*a**b wrt a. -12*a Let o(p) be the first derivative of 5*p - 3 - 3/2*p**2. Find the first derivative of o(v) wrt v. -3 Suppose 5*a + 0*f - 19 = 3*f, 3*a - 12 = 2*f. Suppose -a + 4 = c. What is the derivative of -2*j + 0 + c + 3*j**2 + 2*j wrt j? 6*j Let x = 6 - 3. Let t = -7 + 12. Find the third derivative of d**2 + d**5 - 5*d**t + x*d**5 wrt d. -60*d**2 What is the first derivative of -4 - 42*n + 13 + 42*n + 3*n**2 wrt n? 6*n Let r(n) be the second derivative of -n**8/1680 + n**4/6 - 2*n**3/3 - 5*n. Let s(f) be the second derivative of r(f). Differentiate s(g) wrt g. -4*g**3 Suppose 3*a - 24 = a. Let f(t) = -10*t**2 + 12*t + 16. Let x(c) = -c**2 + c + 1. Let p(l) = a*x(l) - f(l). What is the first derivative of p(d) wrt d? -4*d What is the derivative of 6*l**2 - 26 - 11*l**2 - l**2 - 11*l**2 wrt l? -34*l Let u(y) = 21*y**2 + 2*y - 3. Let w(g) = g**2 + g - 1. Let o(h) = -u(h) + 4*w(h). Find the second derivative of o(l) wrt l. -34 Let m(f) be the second derivative of 0 + 2*f - 1/6*f**3 + 1/12*f**4 - f**2. Let k(r) be the first derivative of m(r). What is the derivative of k(n) wrt n? 2 Let a(k) be the second derivative of -29*k**6/30 + 9*k**3/2 - 34*k. What is the second derivative of a(d) wrt d? -348*d**2 Find the second derivative of -s**3 - 11*s - 2*s - 4*s**3 - 8*s wrt s. -30*s Let t(m) = -132*m**4 + 123*m**2 - 12*m - 12. Let w(k) = -53*k**4 + 49*k**2 - 5*k - 5. Let y(z) = -5*t(z) + 12*w(z). What is the third derivative of y(j) wrt j? 576*j Find the second derivative of 9*b**2 - 2*b**2 - 5*b**2 - 16*b wrt b. 4 Suppose 0 = 2*c - 8, -g + 4*c - 10 = -3*g. Let h = -1 - g. Find the third derivative of -2*i**6 - 4*i**h + 6*i**2 + 4*i**6 wrt i. 240*i**3 Suppose -14 = 2*t + 5*a + 1, -5*t - 5*a = 0. Let v = t - 1. What is the derivative of 0*b + v + 0*b + 4*b**4 - 3 wrt b? 16*b**3 Let z(a) be the third derivative of -11*a**7/210 + 5*a**3/6 - a**2. Differentiate z(g) wrt g. -44*g**3 Let z(l) = 2*l. Let r(g) = -g**2 + 18*g - 17. Let c(y) = r(y) - 5*z(y). What is the first derivative of c(j) wrt j? -2*j + 8 Let l(y) be the third derivative of y**4/2 - 7*y**3/6 + 4*y**2. What is the derivative of l(h) wrt h? 12 Let x(v) = -17*v**2 + 21. Let w(n) = -n**2. Let q(s) = -w(s) + x(s). What is the first derivative of q(f) wrt f? -32*f Suppose 6*k - 2*k = 0. What is the second derivative of k*u - 26*u**4 + 25*u**4 + u wrt u? -12*u**2 Suppose i + 12 = 4*i. Let a be 1/2 - 14/(-4). Find the second derivative of -4*s**2 + i*s - s**2 - 3*s + a*s**2 wrt s. -2 What is the third derivative of 10*q**4 + 0*q**4 - q**4 + 9*q**2 - q**2 wrt q? 216*q Let s(n) = -5*n**2 + n - n**2 + 2*n - 6 - n**3. Let v(d) = -d**3 + d**2 + 1. Let j(b) = -s(b) - 6*v(b). Find the second derivative of j(c) wrt c. 42*c Suppose 2*w = -3*w + 7*w. Let g(p) be the third derivative of 0*p**5 + 0*p - 1/40*p**6 - p**2 + 0*p**3 + 1/8*p**4 + w. Find the second derivative of g(d) wrt d. -18*d Let p(l) be the first derivative of 4*l**5/5 + l**3 - 5. Find the third derivative of p(a) wrt a. 96*a Suppose -2*a + 16 = 4*k, 4*k - 2*a = -7*a + 16. What is the third derivative of -4 + 7*z**5 - k*z**2 - 11*z**5 + 4 wrt z? -240*z**2 Let u be ((-4)/3)/(-2)*3. Suppose 6 = f + u. What is the third derivative of 0*z**2 + z**2 - 3*z**2 + 4*z**2 + 3*z**f wrt z? 72*z Suppose 0 = -g - q - 14, -g - 3*q - 10 = 12. Let f = 13 + g. What is the third derivative of 4*v**2 - 53*v**f + v**4 + 53*v**3 wrt v? 24*v Suppose -6*o = -2*o - 28. What is the derivative of 5 - 4*p**3 - o - 2*p**4 + 4*p**3 wrt p? -8*p**3 Let v(f) be the second derivative of 0 + 0*f**2 + 1/3*f**4 - 2/3*f**3 + 5*f. Find the second derivative of v(r) wrt r. 8 Let g(b) be the second derivative of -1/12*b**4 + 0 + 0*b**5 - 2*b + 0*b**2 + 0*b**3 - 1/30*b**6. What is the third derivative of g(o) wrt o? -24*o Let c be 0*((-20)/6 + 3). What is the third derivative of -2*w**2 - w**2 + c*w**2 + 2*w**6 + 5*w**2 wrt w? 240*w**3 Let u = 19 + -17. Let v(n) be the first derivative of n**u + 1 - 3/4*n**4 + 0*n + 0*n**3. What is the second derivative of v(p) wrt p? -18*p Let t(j) = 0 + j - 3 + 0*j. Let f be t(7). Find the third derivative of -3*z**f - 3*z**2 + 4*z**4 + z**4 wrt z. 48*z Let m = -3 - -6. Suppose -j + i = 1 - 2, -5*i = -j - m. What is the second derivative of u + 0*u - u**2 - j*u wrt u? -2 Let u be 9/2*(-8)/(-6). What is the second derivative of 4*w**2 - u*w**2 - 4*w - w**2 wrt w? -6 Suppose 0 = 4*p + 1 - 9. Let l(q) be the first derivative of -q**3 + 0 - 2 + 5 - 2*q**p. Find the second derivative of l(k) wrt k. -6 Let a(y) = y**6 - y**5 + y**2 + y - 1. Let b(w) = 30*w**6 - 25*w**5 + 30*w**2 + 25*w - 25. Let s(d) = 25*a(d) - b(d). Find the third derivative of s(c) wrt c. -600*c**3 Suppose -4*g + p = -20, 4*p + 1 = -2*g + 11. Suppose 20 = -g*f, -4 = x - 0*x + 2*f. Differentiate 3 - x*u**4 - 3 + 4 with respect to u. -16*u**3 Let w(i) be the third derivative of 0 + 0*i + i**3 + 5*i**2 + 1/3*i**4. Find the first derivative of w(z) wrt z. 8 What is the second derivative of -16*x + 14*x**5 - 3*x**5 + 30*x wrt x? 220*x**3 Let f(j) = -105*j**3 - 18*j**2 - 60*j + 18. Let q(b) = 30*b**3 + 5*b**2 + 17*b - 5. Let n(x) = 5*f(x) + 18*q(x). What is the second derivative of n(h) wrt h? 90*h Suppose -1 = -4*r + 7. Let z(u) be the first derivative of 0*u**r + 1/4*u**4 + 0*u**3 - 1 + 2*u. Differentiate z(o) wrt o. 3*o**2 Let s(u) be the first derivative of -14*u**5/5 + u**3 + 1. Find the third derivative of s(p) wrt p. -336*p Let f(l) be the first derivative of l**6/10 + l**4/6 - 3*l + 3. Let d(p) be the first derivative of f(p). What is the third derivative of d(b) wrt b? 72*b Suppose 5*i = 5*o - 20, 3*o + 2*o + 10 = -5*i. Let u be o*-1*2 + 5. What is the first derivative of -y**3 - y**3 - 5 + u wrt y? -6*y**2 Let w(v) be the third derivative of v**6/40 - v**4/24 - v**2. What is the second derivative of w(l) wrt l? 18*l Let m be 4/(6 - 2)*6. What is the third derivative of 2*s**2 - 3*s**2 - m*s**6 + 9*s**6 wrt s? 360*s**3 Let k(o) be the first derivative of 3*o**2/2 + 2*o + 8. What is the first derivative of k(n) wrt n? 3 Suppose 0 = -0*r - 2*r + 2. Suppose r = -c + 4. Differentiate 0 + 2*n**c + 2 - 1 wrt n. 6*n**2 Find the third derivative of 4*z**5 - 8*z**2 + 2*z**2 + 4*z**2 wrt z. 240*z**2 Let v(x) = -16*x**4 - 5*x**3 - 5*x - 27. Let z(d) = -81*d**4 - 24*d**3 - 24*d - 135. Let b(a) = -24*v(a) + 5*z(a). Differentiate b(h) with respect to h. -84*h**3 Find the third derivative of 5*h**2 + 2*h**3 + h**3 + 5*h**3 + 8*h**2 wrt h. 48 Let i be -2 - (-2)/4*2. Let n be -1*(-2 + 3)*i. Differentiate 5 + n - x**4 - 4 with respect to x. -4*x**3 Differentiate 2 + 13*c**4 + 2 - 12 with respect to c. 52*c**3 Let u(s) be the second derivative of 4*s**5/5 + 7*s**4/12 + 13*s. Find the third derivative of u(t) wrt t.
{ "pile_set_name": "DM Mathematics" }
Is 9 a factor of 242982? True Is 4 a factor of 108233? False Is 3000515 a multiple of 1295? True Is 115782 a multiple of 25? False Does 268 divide 1047076? True Is 2024784 a multiple of 12? True Does 74 divide 75674? False Is 3679 a multiple of 10? False Does 143 divide 11689531? False Does 379 divide 45859? True Does 70 divide 175000? True Is 34 a factor of 490178? True Is 438 a factor of 872934? True Does 202 divide 12120? True Is 59360 a multiple of 212? True Is 6968600 a multiple of 46? False Is 13 a factor of 755863? False Does 977 divide 6024395? False Is 442903 a multiple of 77? False Is 46 a factor of 7401290? False Does 72 divide 198664? False Is 15745 a multiple of 67? True Does 29 divide 7656? True Does 168 divide 1386000? True Is 294 a factor of 500? False Is 4539636 a multiple of 141? True Does 9 divide 1910425? False Is 15100485 a multiple of 2031? True Does 159 divide 14322720? True Is 36120 a multiple of 301? True Is 25 a factor of 326175? True Is 277166 a multiple of 139? True Does 72 divide 566856? True Does 5 divide 65200? True Does 45 divide 18544725? True Is 166804 a multiple of 11? True Is 11918 a multiple of 59? True Is 2085 a multiple of 72? False Does 2 divide 5695? False Is 173853 a multiple of 5? False Is 4 a factor of 1276? True Is 1922098 a multiple of 151? False Is 653 a factor of 37258765? False Is 332599 a multiple of 31? True Is 356634 a multiple of 80? False Is 230421 a multiple of 70? False Does 26 divide 1481688? True Does 2 divide 9102? True Is 3124872 a multiple of 108? True Is 5 a factor of 487117? False Is 779139 a multiple of 163? False Does 579 divide 16378564? False Is 45676 a multiple of 195? False Does 480 divide 353280? True Is 450016 a multiple of 574? True Does 26 divide 4964410? False Is 14 a factor of 7309479? False Does 341 divide 242451? True Is 2144695 a multiple of 1015? True Does 11 divide 173250? True Does 25 divide 4628716? False Is 9 a factor of 6129? True Does 37 divide 988529? True Does 50 divide 252023? False Is 1158 a factor of 4076160? True Is 489476 a multiple of 52? True Is 115714 a multiple of 94? True Does 9 divide 15334? False Does 460 divide 2300? True Is 157 a factor of 382609? True Is 72 a factor of 121536? True Does 8 divide 658040? True Is 51 a factor of 2215616? False Is 729 a factor of 9560106? True Is 869014 a multiple of 29? True Is 524361 a multiple of 631? True Is 1391112 a multiple of 2? True Is 373 a factor of 5038334? False Is 189 a factor of 5675258? False Is 41 a factor of 458298? True Is 527101 a multiple of 13? False Is 173 a factor of 562153? False Is 144714 a multiple of 271? True Is 88 a factor of 217295? False Does 175 divide 1123150? True Does 9 divide 28980? True Is 897394 a multiple of 13? False Does 163 divide 1756430? False Is 983676 a multiple of 12? True Is 1991950 a multiple of 24? False Is 363431 a multiple of 265? False Is 94 a factor of 7900230? True Does 33 divide 15048? True Is 1741 a factor of 3492446? True Does 11 divide 95623? True Does 1000 divide 3923000? True Is 220 a factor of 22792496? False Does 361 divide 153425? True Is 4921668 a multiple of 9? True Does 1850 divide 9407412? False Is 600 a factor of 1057987? False Is 2 a factor of 189096? True Does 406 divide 7158139? False Does 716 divide 184012? True Does 3 divide 63832? False Does 15 divide 5912429? False Is 3606390 a multiple of 38? True Is 173745 a multiple of 4? False Does 191 divide 95410? False Is 287 a factor of 105042? True Is 3591097 a multiple of 27? False Is 3 a factor of 158953? False Does 23 divide 14889993? True Does 20 divide 1760669? False Is 9696 a multiple of 7? False Is 34297 a multiple of 48? False Is 15123139 a multiple of 325? False Is 68 a factor of 205700? True Is 44 a factor of 339988? True Is 252552 a multiple of 261? False Is 28 a factor of 4578310? False Is 33 a factor of 919553? False Does 4 divide 263004? True Is 5644584 a multiple of 396? True Is 2238820 a multiple of 546? False Is 329440 a multiple of 530? False Is 502482 a multiple of 83? True Is 52 a factor of 1029450? False Is 39 a factor of 230724? True Is 10448617 a multiple of 18? False Is 49464 a multiple of 12? True Is 68327 a multiple of 7? True Is 528 a factor of 14605720? False Does 14 divide 2458064? True Does 222 divide 375431? False Is 110 a factor of 27740? False Is 117 a factor of 4253728? False Does 6 divide 35183? False Does 18 divide 416949? False Does 119 divide 2032758? True Does 67 divide 644473? True Does 279 divide 120668? False Is 60 a factor of 13860? True Is 159 a factor of 580668? True Does 24 divide 2333761? False Does 39 divide 705750? False Does 5 divide 63612? False Does 4 divide 281060? True Is 279 a factor of 8390968? False Is 151540 a multiple of 71? False Is 109584 a multiple of 72? True Is 9 a factor of 5944740? False Is 102 a factor of 86590? False Is 46 a factor of 263866? False Is 421058 a multiple of 11? True Is 1968042 a multiple of 297? False Is 126 a factor of 21989898? True Does 444 divide 525095? False Is 403920 a multiple of 408? True Is 38 a factor of 20596? True Is 33 a factor of 228987? True Does 44 divide 800874? False Is 821980 a multiple of 455? False Does 9 divide 30560705? False Is 7 a factor of 138538? False Is 2834968 a multiple of 31? False Is 9 a factor of 1833098? False Does 362 divide 957490? True Is 56 a factor of 7113794? False Is 17 a factor of 964678? False Is 2657495 a multiple of 26? False Does 193 divide 25283? True Is 170 a factor of 748850? True Is 2884198 a multiple of 302? False Is 13002084 a multiple of 123? True Is 663442 a multiple of 58? False Does 168 divide 5512661? False Is 19 a factor of 321632? True Does 54 divide 1107293? False Is 282 a factor of 6233610? True Does 3 divide 1134029? False Is 16 a factor of 57968? True Does 161 divide 783281? False Is 156143 a multiple of 186? False Is 2252093 a multiple of 888? False Is 322109 a multiple of 1264? False Is 711 a factor of 8007282? True Does 264 divide 1762490? False Is 1328614 a multiple of 557? False Is 8945 a multiple of 5? True Does 106 divide 106? True Is 456876 a multiple of 84? True Is 152392 a multiple of 86? True Is 46 a factor of 21311800? True Is 10 a factor of 78057? False Does 350 divide 1705975? False Is 488 a factor of 11361? False Is 2 a factor of 1521448? True Does 642 divide 47905? False Does 1527 divide 3872667? False Is 383597 a multiple of 179? True Is 2549960 a multiple of 54? False Is 1650362 a multiple of 45? False Is 32 a factor of 49523? False Does 15 divide 1028190? True Is 845894 a multiple of 23? True Is 25 a factor of 2096400? True Is 45 a factor of 32175? True Is 104580 a multiple of 140? True Does 333 divide 442890? True Does 28 divide 1234940? True Is 547016 a multiple of 993? False Is 2166270 a multiple of 30? True Is 17 a factor of 8482526? False Does 139 divide 34568614? False Is 14 a factor of 5502? True Is 4 a factor of 23680? True Is 299995 a multiple of 27? False Does 30 divide 344762? False Is 24913462 a multiple of 14? True Is 124 a factor of 3251652? True Does 234 divide 3359273? False Is 10678206 a multiple of 42? True Is 119018 a multiple of 169? False Is 13648964 a multiple of 601? False Is 36 a factor of 582732? True Is 282315 a multiple of 55? True Is 35 a factor of 8523? False Is 41 a factor of 176710? True Is 5505767 a multiple of 34? False Is 11 a factor of 5971130? True Does 3 divide 84? True Is 8 a factor of 2250064? True Is 89453 a multiple of 17? False Is 36 a factor of 2274311? False Is 55328 a multiple of 152? True Is 56256 a multiple of 293? True Is 2 a factor of 48615? False Is 211 a factor of 223172? False Does 367 divide 3902311? True Does 167 divide 21918? False Is 83 a factor of 298468? True Does 1041 divide 1590769? False Is 262 a factor of 3179232? False Is 19762 a multiple of 11? False Is 277 a factor of 435998? True Does 60 divide 14564? False Is 662 a factor of 1660958? True Is 66 a factor of 82402? False Is 10404982 a multiple of 120? False Is 42 a factor of 1142139? False Is 63852 a multiple of 51? True Does 42 divide 840? True Is 85 a factor of 14122898? False Is 5128227 a multiple of 39? True Does 18 divide 6758983? False Is 703 a factor of 1322764? False Does 5 divide 4595415? True Is 43 a fac
{ "pile_set_name": "DM Mathematics" }
6 and 119066858? 1966 What is the greatest common divisor of 142 and 60940010? 142 Calculate the highest common factor of 3088445 and 2495. 5 What is the highest common factor of 1424 and 9904? 16 Calculate the greatest common factor of 3285911 and 463. 463 Calculate the greatest common factor of 1596 and 325852128. 1596 Calculate the greatest common divisor of 2602604 and 7828. 412 Calculate the greatest common divisor of 2658909 and 4531. 197 What is the greatest common divisor of 60 and 42215232? 12 What is the highest common factor of 170286 and 26? 2 Calculate the greatest common factor of 80476 and 14706648. 1364 Calculate the highest common factor of 734580 and 460380. 60 Calculate the highest common factor of 2286504 and 441. 9 Calculate the highest common divisor of 164979 and 12327199. 797 Calculate the greatest common divisor of 4862689249 and 1067. 1067 What is the greatest common divisor of 770 and 19327550? 110 What is the greatest common factor of 109012508 and 15631? 319 What is the greatest common divisor of 2066015 and 595? 35 Calculate the highest common divisor of 370892 and 48. 4 What is the highest common divisor of 51357 and 1627977? 57 What is the highest common factor of 383950 and 112490? 70 Calculate the greatest common factor of 192896 and 124396. 548 What is the greatest common factor of 5218237 and 283? 283 What is the highest common divisor of 10383867 and 351? 117 Calculate the greatest common factor of 51830110 and 10. 10 What is the greatest common factor of 1569098151 and 747? 747 Calculate the highest common divisor of 82812824 and 4. 4 Calculate the highest common divisor of 26313697 and 148. 37 Calculate the highest common divisor of 362 and 28232923. 181 What is the greatest common factor of 602077439 and 29? 29 Calculate the greatest common divisor of 83592 and 1971808. 344 What is the greatest common factor of 3692 and 1484468? 284 What is the highest common factor of 4392448 and 20608? 2944 Calculate the greatest common divisor of 66 and 86390414. 22 Calculate the highest common divisor of 16302 and 1236672. 114 What is the highest common divisor of 1378 and 1136638? 106 Calculate the greatest common factor of 43308 and 455004. 108 What is the highest common divisor of 14623327 and 177? 59 Calculate the highest common factor of 60 and 233234535. 15 What is the greatest common factor of 46496 and 38992? 16 What is the highest common divisor of 986 and 27920736? 58 What is the greatest common factor of 903555 and 3195? 45 Calculate the highest common divisor of 1860650 and 145860. 1870 What is the greatest common factor of 204271596 and 65646? 9378 Calculate the highest common divisor of 30 and 147703656. 6 Calculate the highest common divisor of 4777918 and 272. 34 What is the highest common divisor of 8644958 and 3654? 406 Calculate the greatest common divisor of 27816 and 20296. 8 What is the highest common factor of 1778629 and 906? 151 What is the greatest common factor of 150 and 223910025? 75 Calculate the greatest common divisor of 946880 and 1360. 80 What is the highest common factor of 70928165 and 935? 935 Calculate the highest common factor of 256027472 and 13956. 4652 Calculate the highest common divisor of 7533 and 870912. 243 What is the greatest common factor of 50673210 and 1750? 70 What is the greatest common factor of 1584 and 41926176? 144 Calculate the greatest common divisor of 76 and 1170908. 4 What is the highest common factor of 1348201 and 304954? 317 Calculate the highest common divisor of 306180 and 176148. 756 Calculate the highest common factor of 77640120 and 65286. 5022 What is the highest common divisor of 4202128 and 357? 119 What is the greatest common divisor of 164 and 15111206? 82 Calculate the highest common factor of 685645 and 429703. 241 Calculate the highest common factor of 124 and 5941987. 31 Calculate the highest common factor of 40 and 51151160. 40 Calculate the highest common factor of 42 and 650679190. 14 Calculate the greatest common divisor of 13400898 and 273. 21 Calculate the highest common divisor of 140295 and 4464906. 141 What is the greatest common factor of 267 and 1543679457? 267 Calculate the highest common factor of 22940 and 15562. 62 What is the greatest common divisor of 4716 and 269994537? 1179 What is the greatest common divisor of 145411288 and 121? 11 Calculate the greatest common divisor of 154 and 88186. 14 Calculate the greatest common factor of 1469 and 1143194. 13 What is the highest common factor of 1729 and 8580039? 247 Calculate the greatest common factor of 124 and 431044. 4 What is the highest common factor of 322641219 and 1779? 1779 What is the greatest common divisor of 411482 and 4811? 283 What is the greatest common divisor of 12724364 and 2754? 34 What is the greatest common divisor of 838 and 288948266? 838 What is the highest common divisor of 554410989 and 198? 99 What is the highest common divisor of 25301344 and 8576? 2144 What is the greatest common factor of 265959 and 1280883? 3057 Calculate the greatest common divisor of 179130 and 14070. 210 Calculate the greatest common divisor of 33300 and 3850. 50 Calculate the highest common factor of 34444 and 9747494. 158 What is the greatest common factor of 23660 and 166420? 20 What is the highest common factor of 33516860 and 28730? 2210 Calculate the highest common factor of 797850 and 75. 75 Calculate the highest common factor of 211216 and 30788. 172 Calculate the greatest common factor of 819 and 203616. 63 Calculate the greatest common factor of 33854898 and 126. 42 What is the greatest common factor of 373154064 and 144? 48 Calculate the highest common divisor of 68 and 329316. 4 Calculate the highest common factor of 342450 and 16885068. 4566 What is the highest common divisor of 650656988 and 4514? 4514 What is the highest common factor of 12288 and 88896? 192 What is the greatest common divisor of 26 and 1099982? 26 What is the highest common divisor of 39303197 and 4604? 1151 What is the highest common divisor of 51175190 and 584? 146 Calculate the highest common factor of 51671 and 22168. 163 What is the highest common divisor of 6469568 and 925120? 3136 Calculate the greatest common divisor of 9093911 and 6280. 157 Calculate the highest common divisor of 8412786 and 162. 18 What is the greatest common factor of 16334851 and 4199? 247 Calculate the highest common divisor of 3097444 and 28. 28 What is the highest common factor of 118 and 23248891? 59 Calculate the greatest common factor of 103 and 89579203. 103 Calculate the highest common factor of 3432 and 44018. 26 What is the highest common divisor of 570242155 and 570? 95 What is the highest common divisor of 203 and 15322748? 7 Calculate the greatest common factor of 403 and 47879. 13 What is the highest common factor of 12446 and 81298? 14 What is the highest common divisor of 63381 and 327183? 1713 Calculate the greatest common factor of 903 and 16389149. 301 What is the greatest common factor of 1614150 and 602055? 765 What is the highest common divisor of 29888 and 18876140? 1868 Calculate the highest common divisor of 39474 and 1453572. 2322 What is the highest common factor of 229350 and 71115? 165 Calculate the greatest common divisor of 15600 and 42991. 13 Calculate the highest common divisor of 1372897 and 155. 31 Calculate the highest common factor of 47 and 306070439. 47 Calculate the highest common factor of 238492 and 14388. 436 Calculate the greatest common factor of 512616 and 231384. 744 What is the highest common divisor of 644546948 and 347? 347 Calculate the greatest common factor of 2315150 and 553199. 2437 What is the highest common factor of 4884 and 4638579? 1221 What is the highest common factor of 269645 and 2794955? 995 Calculate the highest common factor of 6109449 and 93. 93 What is the greatest common divisor of 3875 and 40625? 125 Calculate the highest common divisor of 125491408 and 280. 56 Calculate the greatest common factor of 861812 and 4508. 196 Calculate the highest common factor of 53416 and 58036. 44 What is the greatest common factor of 1154 and 86129367? 577 Calculate the greatest common factor of 528 and 4950352. 176 What is the greatest common factor of 85
{ "pile_set_name": "DM Mathematics" }
f 4.3 and -0.9? -3.87 -0.7 times 117 -81.9 What is -2 times -15.44? 30.88 Multiply -6 and -2.5. 15 Work out 61.4 * -1. -61.4 Product of 1 and 8. 8 Work out 18.8 * 6. 112.8 Multiply -3 and -0.33. 0.99 0.3 times 311 93.3 0.3 * 492 147.6 -8 times -14.9 119.2 What is the product of -0.061 and -88? 5.368 Product of -0.04138 and 0.4. -0.016552 What is the product of 37 and 0.2? 7.4 What is 5 times -0.119? -0.595 Multiply -0.2 and -290. 58 Product of 184 and -47. -8648 0.9 times -91.1 -81.99 What is the product of 137 and 0.5? 68.5 -52 times -0.5 26 What is the product of -102 and -18? 1836 0.1 times 554 55.4 Work out -4.8 * -0.5. 2.4 Calculate -4*-2509. 10036 What is the product of 5 and 591? 2955 What is -54 times -5? 270 Product of 0.07 and 9.09. 0.6363 Work out -0.2 * 4946. -989.2 0.05 * -5.5 -0.275 303 * -0.6 -181.8 -0.122*0.11 -0.01342 Multiply 0.1 and 0.17. 0.017 What is the product of 0.4 and 0.72? 0.288 What is the product of -0.013 and 7? -0.091 Multiply 288 and -5. -1440 -5.62 times 0.5 -2.81 Multiply -0.5 and 395. -197.5 What is the product of -0.018 and 12.1? -0.2178 Product of 4825 and 3. 14475 Multiply -0.1 and 0.0508. -0.00508 What is the product of 283.6 and -5? -1418 What is 0.089 times -5? -0.445 What is the product of -0.371 and -0.05? 0.01855 Multiply -0.4 and -514. 205.6 Calculate 0.2*-1.697. -0.3394 Product of -30.05 and -5. 150.25 Product of 0.1 and 6.9. 0.69 -1*-220 220 1 times 668 668 16 times 5 80 0.2 times -889 -177.8 0.8 * 0.2 0.16 -23*-14 322 Calculate -0.031*0.024. -0.000744 Multiply 70 and -15. -1050 Work out -24 * 0.2. -4.8 0.1 * 169 16.9 What is the product of 2295.6 and -0.4? -918.24 Product of 0 and 1.68. 0 What is the product of -0.01 and 0.2? -0.002 Product of -17 and 5. -85 -2 times 823 -1646 What is the product of -4 and 2402? -9608 -4 times -0.0827 0.3308 0.02 * 181 3.62 Work out 16 * -3. -48 6728 * 0.2 1345.6 What is 0.14 times -2.2? -0.308 What is -2.2 times 141? -310.2 -22.66 times -0.1 2.266 -93 * 1 -93 Calculate 0.5*-729. -364.5 -1 times 0.203 -0.203 Calculate 0.8*-0.47. -0.376 Calculate 5*-0.169. -0.845 Calculate -0.895*-1. 0.895 What is the product of -0.4 and 294.4? -117.76 0.1692*4 0.6768 -0.1*-2778 277.8 -0.118*-0.055 0.00649 Work out 0.0883 * -0.4. -0.03532 What is the product of -1599 and 0.4? -639.6 -0.2 times -1127 225.4 Work out 0.2 * 1.374. 0.2748 Calculate 0.1*-185. -18.5 What is -0.07 times -0.27? 0.0189 Multiply -10.5 and 0.1. -1.05 Work out 0.03 * -0.1723. -0.005169 Product of 0.5 and 160. 80 Multiply -25 and 0.78. -19.5 Calculate -2.3*-17. 39.1 -17 * 94 -1598 Multiply -0.4 and 5.32. -2.128 Multiply -0.3 and -352. 105.6 Work out -1.9 * -0.054. 0.1026 Work out -0.07 * -1.18. 0.0826 What is 4 times 46? 184 Multiply 152 and 0.5. 76 Product of 366 and 5. 1830 6.2*6.2 38.44 Calculate 39*-14. -546 Work out -6 * -0.075. 0.45 2*-0.7986 -1.5972 0*-7.2 0 Calculate 0.4*-70. -28 1.8 * -80 -144 0.5*18.9 9.45 1762 * 0.2 352.4 Multiply -138.1 and -2. 276.2 What is the product of -5.5 and 10.7? -58.85 -0.216*39 -8.424 What is -7.1 times -0.2? 1.42 Product of -0.3 and -347. 104.1 -91 times -0.8 72.8 What is the product of 0.03 and 146? 4.38 What is the product of -4 and -156? 624 -0.6 * -0.432 0.2592 -0.5 * 0.1733 -0.08665 What is the product of 2328 and 0.4? 931.2 -0.1 times 97 -9.7 -0.069*13 -0.897 Work out 156 * -1. -156 Multiply -115 and 0.01. -1.15 -354 times 5 -1770 -0.11 * 12 -1.32 Multiply -41.715 and 0.1. -4.1715 Product of -125 and 4. -500 0.4 * -0.3 -0.12 -0.1 * -57.6 5.76 What is 6 times 0.52? 3.12 Calculate 24*2.14. 51.36 Product of -4 and -5. 20 Calculate 127.45*0.5. 63.725 Calculate -6*0.523. -3.138 -3 * 440 -1320 What is the product of 4 and -22? -88 Work out 1 * 29.26. 29.26 Work out -5 * 26. -130 0.8 times 0.07 0.056 0.2 * 0.098 0.0196 What is 5 times 6.5? 32.5 -1 times 67 -67 0.03*0.046 0.00138 Work out 1 * -77. -77 Work out -3 * 143. -429 Work out -0.35 * -4. 1.4 Product of 2 and 2786. 5572 Work out 0.4 * 0.516. 0.2064 Multiply 4 and -3. -12 -68.7*5 -343.5 What is the product of 0.06 and -0.2? -0.012 Calculate 0.91*86. 78.26 Multiply -1.61 and 18. -28.98 Multiply -3702 and 1. -3702 Work out 0.324 * 3. 0.972 Calculate 363*4. 1452 -47*-2 94 Multiply 3 and 0.101. 0.303 What is the product of -18 and 8? -144 What is -1067 times 0.06? -64.02 Work out -3 * -0.04. 0.12 17.7*5 88.5 What is the product of 50.1 and -5? -250.5 Product of 0.4 and -0.17. -0.068 What is -1058 times 0? 0 Multiply 443 and 2.3. 1018.9 -71 times -1.5 106.5 -0.6*0.032 -0.0192 -0.4*5725 -2290 Multiply -1 and 280. -280 2*-0.175 -0.35 Product of 0.6 and 16. 9.6 Calculate -2.4*10. -24 Multiply 5.2 and 6. 31.2 What is the product of -0.27 and -57? 15.39 12190*-0.1 -1219 What is 0.3 times 10.5? 3.15 0.1 times 165 16.5 Work out -8 * -4. 32 What is the product of 15169 and 5? 75845 Product of -192 and -3. 576 What is the product of -22.84 and -0.1? 2.284 -2 * 374 -748 Work out -1 * 28. -28 Calculate -0.03*0.4. -0.012 -0.3 * 7.32 -2.196 Calculate -5*145. -725 What is 59.23 times 0.5? 29.615 Work out 1.7 * 10. 17 0.1 * -1697 -169.7 Calculate 3.88*-0.1. -0.388 Multiply -3 and 1210. -3630 Multiply -0.3 and -57. 17.1 Work out -45 * 7. -315 Product of -0.11 and 14. -1.54 Product of -1.19 and -7. 8.33 What is 26.23 times 4? 104.92 Multiply -48.1 and 0.4. -19.24 -122.2 times 5 -611 44*0.02 0.88 Product of -10 and -0.0337. 0.337 103*5 515 -2147 times 0.2 -429.4 Calculate -93.7*0.4. -37.48 Product of -3 and 0.37. -1.11 Calculate 3*-41. -123 Product of -0.09 and 18.1. -1.629 -0.5 times -20 10 Product of 799 and -0.04. -31.96 -1.3087*-0.2 0.26174 Work out 54 * 0.1. 5.4 What is 1 times 0.81? 0.81 Multiply -0.1195 and -0.3. 0.03585 Calculate 6*-0.5. -3 0.3 * -35 -10.5 Product of -1 and -96. 96 276 * -0.29 -80.04 Work out 0.1 * -141. -14.1 Calculate 5*-1.5. -7.5 Multiply -6 and 0.08. -0.48 57*0.3 17.1 Calculate 0*-0.863. 0 Work out 73018 * -0.2. -14603.6 Multiply -257 and -3. 771 What is the product of -3 and -0.53? 1.59 What is the product of -0.079 and -0.098? 0.007742 -0.3*3355 -1006.5 20.98 * 0.1 2.098 What is 24 times -0.45? -10.8 Calculate -136*0.06. -8.16 Multiply -0.1342 and -0.3. 0.04026 What is the product of 0.037 and -0.06? -0.00222 -1 * 7 -7 What is the product of -0.5 and -0.4? 0.2 -50 * -133 6650 What is 1185 times 9? 10665 Calculate -0.23*-166. 38.18 Multiply 0 and 21.2. 0 Product of 20 and 3. 60 Multiply 2.12 and -0.1. -0.212 15.69*6 94.14 What is -56 times 0.89? -49.84 -22347 times -4 89388 -6.67*0 0 Work out -3110 * 3. -9330 What is 0.9 times -0.003? -0.0027 862*-0.01 -8.62 Work out 16 * 0.037. 0.592 Multiply -2.63 and 0.1. -0.263 Product of -3 and 185. -555 What is -0.1244 times -0.2? 0.02488 Multiply 0.2 and 10.3. 2.06 Multiply -5 and 0.0457. -0.2285 Product of -71 and 4. -284 Product of -1.013 and 1. -1.013 0.048 times -0.04 -0.00192 Calculate -0.06*-0.4. 0.024 Work out -2 * -6.9. 13.8 Multiply 0.11 and -52. -5.72 Multiply 5 and 41.41. 207.05 What is the product of -0.4 and 0.003? -0.0012 Calculate 3.8*-141. -535.8 0.4 * 0.73 0.292 What is the product of -1260 and -0.5? 630 What is the product of 1.3 and -0.413? -0.5369 Multiply 3 and 5.77. 17.31 Calculate 0.08*0.35. 0.028 Multiply 4 and 729. 2916 -19 times -0.1 1.9 What is -0.4 times 5? -2 17*-19 -323 Work out -12.8 * 1.2. -15.36 -2 times -2.13 4.26 Work out 2 * -62. -124 What is -0.5 times -20? 10 Product of 68 and 12.5. 850 Multiply 0.1 and 0.26. 0.026 Calculate -24.22*0. 0 Calculate 1.71*0.01. 0.0171 Work out 16 * 1.3. 20.8 0.4 times 6 2.4 0.028 times -0.2 -0.0056 Calculate 0.5*-571. -285.5 -0.398*-0.051 0.020298 -70*0.82 -57.4 -3 times -2914 8742 Multiply 11 and 1089. 11979 Multiply 0.2 and 8. 1.6 What is the product of 4 and 1.37? 5.48 What is 0.4 times 0.18? 0.072 -29 times -6 174 What is the product of -14.7 and -0.1? 1.47 2*-29 -58 Calculate -0.04*115. -4.6 -5 * -0.217 1.085 Product of -388 and -5. 1940 Calculate 1.3384*3. 4.0152 What is the product of 635.4 and -0.1? -63.54 What is the product of -5 and -49? 245 0.0229*0.1 0.00229 Calculate 0.2*0.2. 0.04 -5*-13 65 Product of 837 and -4. -3348 Work out 21 * -0.009. -0.189 -755 * 27 -20385 What is 0.1833 times -0.2? -0.03666 What is -0.2 times 484? -96.8 What is 19 times -367? -6973 Multiply -0.36 and -0.4. 0.1
{ "pile_set_name": "DM Mathematics" }
of picking 2 t and 1 n when three letters picked without replacement from {n: 1, m: 3, q: 2, t: 1}? 0 Four letters picked without replacement from {t: 4}. Give prob of picking 4 t. 1 Four letters picked without replacement from cccnncccccnccnccnc. What is prob of picking 4 c? 143/612 What is prob of picking 4 o when four letters picked without replacement from {b: 4, w: 2, o: 2}? 0 Four letters picked without replacement from {g: 2, f: 8}. What is prob of picking 4 f? 1/3 Calculate prob of picking 2 a, 1 m, and 1 f when four letters picked without replacement from {m: 2, a: 5, i: 1, d: 1, f: 6}. 8/91 Three letters picked without replacement from rmmylyrrr. What is prob of picking 2 m and 1 r? 1/21 What is prob of picking 3 p when three letters picked without replacement from piopiiipiuiiooiioo? 1/816 Two letters picked without replacement from {m: 1, v: 3, j: 2, q: 4, l: 3, p: 6}. What is prob of picking 1 p and 1 m? 2/57 Calculate prob of picking 1 f, 1 q, and 1 n when three letters picked without replacement from nqisqfspqisq. 1/55 What is prob of picking 1 j and 1 s when two letters picked without replacement from pjsjjjns? 2/7 Three letters picked without replacement from ozrttmm. Give prob of picking 1 t, 1 o, and 1 z. 2/35 Four letters picked without replacement from dddrrrdrrrdddrrdrdr. Give prob of picking 1 d and 3 r. 90/323 Three letters picked without replacement from zkkkzkzkkz. Give prob of picking 3 k. 1/6 What is prob of picking 3 t and 1 i when four letters picked without replacement from {t: 4, i: 10}? 40/1001 Calculate prob of picking 1 s, 1 n, and 1 b when three letters picked without replacement from eesneweeeeeeesnb. 1/140 Calculate prob of picking 2 y when two letters picked without replacement from {h: 2, d: 3, y: 4, z: 1}. 2/15 What is prob of picking 4 v when four letters picked without replacement from {c: 9, v: 5}? 5/1001 Two letters picked without replacement from {g: 3, c: 4, b: 2, p: 2}. Give prob of picking 1 g and 1 b. 6/55 What is prob of picking 3 y and 1 m when four letters picked without replacement from nnnmnynnn? 0 What is prob of picking 1 x and 1 f when two letters picked without replacement from {x: 2, f: 1, v: 1, u: 7, m: 2, r: 2}? 2/105 What is prob of picking 2 f, 1 m, and 1 g when four letters picked without replacement from {f: 3, j: 4, m: 1, g: 6}? 18/1001 Four letters picked without replacement from {e: 5, b: 9}. What is prob of picking 2 e and 2 b? 360/1001 Calculate prob of picking 4 u when four letters picked without replacement from {s: 1, u: 11}. 2/3 Four letters picked without replacement from {v: 2, z: 1, d: 6, h: 3, x: 3, c: 5}. What is prob of picking 1 d, 1 h, and 2 v? 6/1615 Two letters picked without replacement from kxkklnxlkknlnnxxk. Give prob of picking 2 x. 3/68 Three letters picked without replacement from qjwvw. What is prob of picking 1 q, 1 w, and 1 v? 1/5 Calculate prob of picking 2 m when two letters picked without replacement from {p: 3, c: 1, m: 5}. 5/18 Four letters picked without replacement from xrrxxrxxxx. Give prob of picking 3 x and 1 r. 1/2 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {q: 17, v: 3}. 51/190 Three letters picked without replacement from {a: 7, d: 1}. Give prob of picking 3 a. 5/8 Two letters picked without replacement from aaa. What is prob of picking 2 a? 1 What is prob of picking 1 n, 1 i, and 2 p when four letters picked without replacement from {p: 8, n: 3, i: 2, q: 3}? 6/65 Three letters picked without replacement from ixxoxxxxw. What is prob of picking 1 i, 1 w, and 1 x? 1/14 Three letters picked without replacement from kjrjrrkk. Give prob of picking 1 r, 1 j, and 1 k. 9/28 What is prob of picking 2 m when two letters picked without replacement from jjjjjjmmjjjmmm? 10/91 Calculate prob of picking 2 b when two letters picked without replacement from oooobooooooobboooo. 1/51 What is prob of picking 2 e, 1 r, and 1 o when four letters picked without replacement from {e: 2, o: 6, r: 4}? 8/165 Two letters picked without replacement from hlhn. What is prob of picking 1 n and 1 l? 1/6 Four letters picked without replacement from tiitmdoioiiisiido. Give prob of picking 1 i, 2 o, and 1 t. 12/595 Calculate prob of picking 2 g and 1 j when three letters picked without replacement from cgygcccggoygjbcocjj. 10/323 Four letters picked without replacement from {r: 6, g: 9, i: 3, q: 1}. What is prob of picking 4 r? 5/1292 Calculate prob of picking 2 g and 2 r when four letters picked without replacement from grrrrgrggggg. 14/33 What is prob of picking 1 y and 1 z when two letters picked without replacement from {z: 18, y: 1}? 2/19 What is prob of picking 1 e and 3 k when four letters picked without replacement from {e: 7, k: 7, h: 5}? 245/3876 What is prob of picking 2 f and 1 o when three letters picked without replacement from {o: 1, f: 12}? 3/13 Two letters picked without replacement from eaeyay. What is prob of picking 1 a and 1 e? 4/15 What is prob of picking 4 i when four letters picked without replacement from iiiliiiilli? 7/33 Two letters picked without replacement from fhbbhpspbshbhe. Give prob of picking 1 f and 1 s. 2/91 Two letters picked without replacement from fpsfrfsufgrfu. Give prob of picking 1 s and 1 g. 1/39 What is prob of picking 3 u and 1 s when four letters picked without replacement from rrurrrrhrururhhrsu? 1/765 Calculate prob of picking 3 a when three letters picked without replacement from {h: 1, y: 2, s: 1, a: 1, i: 1, r: 2}. 0 Two letters picked without replacement from {j: 1, e: 3}. What is prob of picking 1 j and 1 e? 1/2 Calculate prob of picking 1 a, 1 z, and 1 q when three letters picked without replacement from {z: 2, q: 6, a: 3, d: 1}. 9/55 Three letters picked without replacement from keezzzzezees. What is prob of picking 1 z, 1 e, and 1 k? 5/44 What is prob of picking 1 g and 1 n when two letters picked without replacement from ggnnggnngn? 5/9 Two letters picked without replacement from ivgkkvgngnvngkngnn. Give prob of picking 1 v and 1 n. 2/17 What is prob of picking 1 r and 2 j when three letters picked without replacement from {r: 2, p: 6, j: 4, h: 1}? 6/143 Calculate prob of picking 2 e and 2 j when four letters picked without replacement from {d: 3, e: 2, j: 3}. 3/70 What is prob of picking 2 u when two letters picked without replacement from aauuuaauaiai? 1/11 Three letters picked without replacement from eebeeeeeeebbebbeeeb. Give prob of picking 3 b. 20/969 What is prob of picking 2 d and 1 p when three letters picked without replacement from vppppvdddpfrprk? 18/455 Four letters picked without replacement from {v: 4, x: 1, g: 3, o: 10}. What is prob of picking 1 x and 3 g? 1/3060 What is prob of picking 1 d and 2 j when three letters picked without replacement from djjdddddjjd? 14/55 What is prob of picking 1 s and 1 y when two letters picked without replacement from ymmyvkysgss? 9/55 Calculate prob of picking 3 f when three letters picked without replacement from {g: 8, f: 5}. 5/143 What is prob of picking 4 c when four letters picked without replacement from vqcqcvccvuqc? 1/99 What is prob of picking 1 u and 1 w when two letters picked without replacement from hwpuphhhup? 2/45 Four letters picked without replacement from sgxxgxsgxg. What is prob of picking 1 s, 2 x, and 1 g? 8/35 Calculate prob of picking 1 a, 2 b, and 1 c when four letters picked without replacement from ovbcvooboobabkb. 2/273 What is prob of picking 1 m, 1 q, and 1 i when three letters picked without replacement from {m: 1, q: 1, g: 5, i: 3, n: 1, t: 2}? 3/286 Four letters picked without replacement from {f: 4, i: 2, b: 3}. Give prob of picking 1 b, 1 i, and 2 f. 2/7 What is prob of picking 1 i and 1 o when two letters picked without replacement from {i: 5, o: 15}? 15/38 Calculate prob of picking 3 o when three letters picked without replacement from {k: 6, o: 6}. 1/11 Two letters picked without replacement from ushuuunvswvvssswvs. What is prob of picking 1 h and 1 n? 1/153 Calculate prob of picking 1 m and 1 r when two letters picked without replacement from kkmmmkkmrmrrk. 5/26 Four letters picked without replacement from jgcsjgggsggscgcnsj. What is prob of picking 2 c, 1 s, and 1 j? 1/85 Two let
{ "pile_set_name": "DM Mathematics" }
4*o + 2329*o - 830*o + 14040 for o. -45 Solve -214902*p = -214995*p - 837 for p. -9 Solve -330*w + 1821*w = 40*w + 76903 for w. 53 Solve -1792*k + 721*k + 873*k = 9900 for k. -50 Solve 0 = 565*n - 38980 - 2265 for n. 73 Solve 457*d + 956 = -2043*d + 26980 + 6476 for d. 13 Solve 458 = -206*l + 1650 + 5310 + 2974 for l. 46 Solve -2067 - 1787 = -56*c - 38*c - 94 for c. 40 Solve 411*h - 234*h = -2*h + 4654 for h. 26 Solve -418173 = 22*z + 3*z - 418798 for z. 25 Solve 7431 = 370*n - 35*n - 7644 for n. 45 Solve 0 = -90*g + 354*g + 10296 for g. -39 Solve -95*a + 40*a - 43*a + 136 + 1530 = 0 for a. 17 Solve 96*f + 645 = -2400 + 890 - 1685 for f. -40 Solve -77 + 2052 - 447 = 48*c - 1976 for c. 73 Solve 954*h + 20232 = -4024 + 3268 for h. -22 Solve -18820 = 554*o - 23252 for o. 8 Solve -68*a - 625 = 680 - 81 for a. -18 Solve -19*z + 10*z = -44*z + 735 for z. 21 Solve -2600*y = -1828*y + 54812 for y. -71 Solve 4500*l = 63969 + 269031 for l. 74 Solve -1873 = 21*a - 162 - 871 for a. -40 Solve -14*m + 2190 = 115*m - 2841 for m. 39 Solve -431*w + 481*w - 628 = -978 for w. -7 Solve -1252*k - 1228*k + 5028 + 19772 = 0 for k. 10 Solve -3467*p - 68339 - 77275 = 0 for p. -42 Solve -2546*y - 93690 = 6909 - 8943 for y. -36 Solve 55*k - 117 - 37 = -73 + 249 for k. 6 Solve 7337 = 485*o + 3942 for o. 7 Solve 257*k - 11372 + 17889 = -12244 for k. -73 Solve -579*l - 51885 - 1707 = 1045*l for l. -33 Solve -49*z + 75761 = 74291 for z. 30 Solve -30409*i + 30456*i + 47 = 0 for i. -1 Solve -134*h + 18228 = 17960 for h. 2 Solve -3876*h = -2552*h + 99300 for h. -75 Solve -1461*b + 15928 - 87517 = 0 for b. -49 Solve -283781429 + 283782654 = -49*p for p. -25 Solve 13*d = -24*d - 209*d + 5412 for d. 22 Solve -1405*p = -600*p - 379*p + 21300 for p. -50 Solve -16*q + 70*q = 23*q + 20*q + 913 for q. 83 Solve 3885*c - 1400 = -33431 - 57324 for c. -23 Solve -1186*k - 40788 = -259*k for k. -44 Solve 310*a - 1012 + 2302 = 53*a - a for a. -5 Solve 755*q = 223*q + 92*q - 31240 for q. -71 Solve 0*c + 1293 + 124 - 175 = -27*c for c. -46 Solve -5299751 + 5297433 = 38*m for m. -61 Solve -4180*l + 311868 = 2096*l + 67104 for l. 39 Solve -2007*q + 60334 + 315866 = -5967*q for q. -95 Solve 160*w + 122*w = 72*w - 58*w - 536 for w. -2 Solve 8625 = 395*b - 20*b for b. 23 Solve -69983 + 24641 = -14913*c + 29541 + 432159 for c. 34 Solve 6279*l + 60554 + 242998 = 2063*l for l. -72 Solve 2246*n - 8912 = 72 for n. 4 Solve 20711 - 18917 = 46*x for x. 39 Solve -155*c - 458*c + 336*c + 3025 = -7778 for c. 39 Solve -318*h - 56*h - 90*h - 288*h - 47376 = 0 for h. -63 Solve 1735*k = 6888*k - 190661 for k. 37 Solve -3212*r + 533*r - 5358 = 0 for r. -2 Solve -505*a - 542*a = 818*a + 139875 for a. -75 Solve -26*d - 63583 = 845*d for d. -73 Solve 932*s + 4195*s + 189699 = 0 for s. -37 Solve 4061*m - 492*m + 155138 + 200112 = -1506*m for m. -70 Solve 205534 = 134*w + 196422 for w. 68 Solve 3632*c - 206357 = -1167*c for c. 43 Solve -41547 = 1285*f - 32564 + 61692 for f. -55 Solve -225*p + 25970 = 256*p + 2401 for p. 49 Solve 2332*w - 252*w - 45760 = 0 for w. 22 Solve -106*k = 5002 - 2034 for k. -28 Solve 7255*n + 26962 = 5181*n for n. -13 Solve 295*c + 30182 - 1697 = 283*c - 621*c for c. -45 Solve 5*a + 41 = 10 - 59 + 10 for a. -16 Solve 5*j + 178 = -51 - 6 for j. -47 Solve -3476*y + 5089*y + 6293*y - 254608 - 377872 = 0 for y. 80 Solve 0 = -447830*d + 450065*d - 67050 for d. 30 Solve -616*b = -3465 - 18095 for b. 35 Solve -75*t - 699 - 2187 = -8*t + 7*t for t. -39 Solve 49488 = -7201*l - 742622 for l. -110 Solve -237*s = 609*s + 149*s - 18905 for s. 19 Solve 506615 = 7404*l - 130129 for l. 86 Solve 5736*a - 8047*a = 154837 for a. -67 Solve -619 - 824 - 4818 = 273*q - 801 for q. -20 Solve 2515683*v = 2515602*v + 3321 for v. 41 Solve -800*n + 60*n + 4878 - 17458 = 0 for n. -17 Solve 68528 = 161*h + 61444 for h. 44 Solve 112*u - 12582 = 109*u + 469*u for u. -27 Solve -37694 - 42665 + 348 = -1782*c + 55421 for c. 76 Solve 238*x + 188*x = -28*x - 4540 for x. -10 Solve -810*m + 19293 = 33873 for m. -18 Solve -1766*r - 38455 = 972*r + 933 + 108464 for r. -54 Solve -70*k + 139*k + 131*k - 11065 - 19535 = 0 for k. 153 Solve -138*f + 116*f = -246*f - 87*f - 36387 for f. -117 Solve 117*k = 4200 - 2562 for k. 14 Solve 0 = 76*n - 10*n + 3168 for n. -48 Solve 0 = -143*p + 7998150 - 8011020 for p. -90 Solve 1349 = -980*o + 4289 for o. 3 Solve -3209*c + 4863*c = -5782*c + 602316 for c. 81 Solve -6*s - 537 + 283 = -260 for s. 1 Solve 0 = -2809*h + 202367 + 126650 - 45308 for h. 101 Solve 0 = -13707*n + 13700*n - 84 for n. -12 Solve 127*c + 3046 - 1291 = 739 for c. -8 Solve 15106 + 6424 = -901*m - 15411 for m. -41 Solve -186*h + 132*h - 17*h - 2435 = 1754 for h. -59 Solve 178*r - 321 - 8 = 155 + 50 for r. 3 Solve -679*k + 290*k + 946*k + 1883*k - 195200 = 0 for k. 80 Solve -741*a + 78430 = 912*a - 286*a + 338*a for a. 46 Solve -4611 - 6904 - 5572 + 2737 = 205*n for n. -70 Solve 0 = -17133*p + 17186*p - 954 for p. 18 Solve 29*f + 23133 = 22669 for f. -16 Solve 660 = 4996703*s - 4996769*s for s. -10 Solve 931759 - 302507 + 437638 = 20130*d for d. 53 Solve -824*g = 405*g + 18683 + 7708 + 17853 for g. -36 Solve -20*l + 2*l - 47*l - 8000 = 15*l for l. -100 Solve 30823*q + 948 + 1196 = 30756*q for q. -32 Solve -2213*x + 34542 = 49559 + 87542 + 14730 for x. -53 Solve -1132*t - 392 + 6996 = -9244 for t. 14 Solve 371 = 41*l - 212*l - 1852 for l. -13 Solve -82*f + 936 + 847 = 879 - 572 for f. 18 Solve 88*n = -1758 + 260 + 2 for n. -17 Solve 402 + 164 = -43*q - 79 for q. -15 Solve -727*d = 742*d - 1440*d - 1537 for d. 53 Solve 3533*u - 2394*u + 5827 = -4768*u - 29615 for u. -6 Solve -129*w + 100 + 5042 + 1054 = 907 for w. 41 Solve -50*k + 184*k - 6132 = -183*k + 25*k for k. 21 Solve 100*k + 7303 + 9321 = 4624 for k. -120 Solve 33018 = 227*b + 18490 for b. 64 Solve -13451 = 650*w - 7619 - 33626 - 20306 for w. 74 Solve -104*s - 8045 = -438*s + 4313 for s. 37 Solve 14627*o - 3520 = 14407*o for o. 16 Solve 20728 - 18155 = 83*u for u. 31 Solve -706*i - 56 + 5221 = 1310 - 3205 for i. 10 Solve 19*o + 49*o - 506*o = -7884 for o. 18 Solve -42191493*k + 42191352*k = 12831 for k. -91 Solve -586*x = -11745 - 7007 for x. 32 Solve 208*s - 6407*s = 1595*s + 272790 for s. -35 Solve 3168 = 492*z - 228*z for z. 12 Solve -291*n + 75*n = -919 + 659 - 1252 for n. 7 Solve 2737*y - 25795 = 31682 for y. 21 Solve 177*p + 30*p + 9092 - 8471 = 0 for p. -3 Solve 21*b + 112*b - 4206 - 981 = 0 for b. 39 Solve 303*m = 18*m + 155*m - 6405 - 3345 for m. -75 Solve -16*t + 11088 = 22*t - 171*t - 21*t for t. -72 Solve -1549*w = 4413 + 4881 for w. -6 Solve -367*d - 261*d = -2713*d + 104250 for d. 50 Solve -627177 + 628046 = -79*z for z. -11 Solve 2095*d + 320615 = -2991*d + 81573 for d. -47 Solve -216*y + 1517 + 2587 = 0 for y. 19 Solve -230*c + 58*c - 4500 = -73*c - 49*c for c. -90 Solve 38570*l - 26316 = 37796*l for l. 34 Solve -4640*y = 6806*y for y. 0 Solve -210*z + 403*z - 6784 = -250*z - 405*z for z. 8 Solve -924*k + 681 - 1008 = -836*k + 4073 for k. -50 Solve 0 = -2814*s + 2612*s + 7878 for s. 39 Solve 7935 + 14582 = -593*v - 35004 for v. -97 Solve -413312 = -397*y - 373612 for y. 100 Solve -5753*z + 875642 = -453*z + 271442 for z. 114 Solve -1648 + 2792 = 45*h - 611 for h. 39 Solve -42147*o + 84301*o - 42248*o - 4230 = 0 for o. -45 Solve 0 = -119*s + 5770 - 5283 - 6080 for s. -47 Solve 143*c - 14861 = 18*c - 69*c + c for c. 77 Solve 1917*t + 412*t + 72700 + 44956 = -73322 for t. -82 Solve -11188*l + 3915*l + 4079*l = -3802*l - 49248 for l. -81 Solve -116*s = 1740 - 3715 - 2897 for s. 42 Solve 26*u - 61*u - 7080 = -330*u for u. 24 Solve -59*o - 1 - 3 = -61*o - 10 for o. -3 Solve -3856813*a = -3856863*a + 50 for a. 1 Solve 22146*m - 43554*m + 1382 = -22099*m for m. -2 Solve -460787 = 62*h - 461159 for h. 6 Solve 8315*n - 23831 = 7668*n + 33752 for n. 89 Solve 0 = -663*c + 6008 + 21838 for c. 42 Solve -17834*d + 357485 = -427211 for d. 44 Solve -103*c + 945*c - 110976 = -288*c + 42*c for c. 102 Solve -1555 + 433 = -755*m + 2887 + 2786 for m. 9 Solve -7*y - 220*y + 63*y - 20842 = 449*y for y. -34 Solve 781*l + 17329201 = 17337792 for l. 11 Solve 1938*u + 1887*u - 4059*u = -15912 for u. 68 Solve -536*s + 1026 + 20993 = 2635 - 24032 for s. 81 Solve 5647*m - 1426*m + 10327
{ "pile_set_name": "DM Mathematics" }
= l - -0.7. Let g be ((-4)/(11 - -1))/((-1)/(-6)). Which is bigger: y or g? y Let o be 30/21*(-4)/10. Let v = 3 - -8. Let r = -12 + v. Which is smaller: o or r? r Let a be -10*(-5 - 138/(-12) - 6). Which is bigger: -3 or a? -3 Suppose 31 = -6*d + 61. Is 1 not equal to d? True Let d = -6 + 5. Let k be -2 + (-3)/(9/(-708)). Let x be (-4)/(-6)*(-162)/k. Does x = d? False Let w be -1 + 0 - (-5 + 4). Suppose -q + 2 + 0 = w. Let j be -4*2/8*-1. Which is greater: q or j? q Let y be -2 + 8/4 + 0. Let q(a) = -a**3 + 2. Let u be q(y). Suppose -3 = u*i - 1. Is 2/5 smaller than i? False Let b be 2/(-11) + 3402/6006. Is 0 >= b? False Suppose 13*g - 12*g + 10 = 0. Let x be 2/g - 46/(-120). Let j = 1/15 + x. Which is greater: 1 or j? 1 Suppose 10 + 42 = w. Let b = 44 - w. Let t = -2.1 - -2. Which is smaller: b or t? b Suppose 5*f - 8*f - 15 = -3*b, 0 = -2*f + 3*b - 15. Suppose -4*a + 3 - 31 = f. Which is bigger: -40/7 or a? -40/7 Suppose 10 = k + 4. Which is smaller: k or 3? 3 Let k be 2*(5 + 15/2). Suppose 0 = l - k + 26. Which is bigger: l or -5/8? -5/8 Let d = -0.09 + 0.1. Let q = 221 + -221. Which is smaller: q or d? q Let s be 18/(-4)*40/(-90). Let l be (-3 - -4)/(s/8). Suppose -5 + 9 = -l*u. Is 2/13 at most u? False Let c = 448 + -476. Which is smaller: c or -22? c Let h = -362/429 + 9/11. Which is greater: -1 or h? h Suppose -4*n + 71 = 5*c - 3*n, 2*n = -8. Are c and 13 unequal? True Suppose -6 = 18*m + 12. Is m bigger than -57? True Let f = 27 + -1237/46. Is 0 greater than f? False Let u(j) = j**2 - 5*j + 5. Suppose 3*g = -4*w, -2*g + 4*g = -3*w - 1. Let o be u(g). Which is greater: -4 or o? o Let x = 62.059 + -62. Let w = x + 3.941. Let c(f) = -2*f - 9. Let j be c(-6). Which is bigger: j or w? w Let s = 60 - 59. Let a be (s + -1)/(-2) + (-98)/(-147). Suppose -3*l - 2*x - 6 = -16, -3*x = 2*l - 10. Is l bigger than a? True Let t = -71 - -72. Suppose 2*n + 5*o = 65, n = 2*o - 7*o + 40. Let q be (-5)/n*(-10)/(-8). Which is smaller: t or q? q Suppose 0 = -2*d - d + 66. Let c = 23 - d. Let v be 6*21/(-39) - -3. Which is bigger: c or v? c Let s = 12.95 + 0.45. Let w = 15 - s. Let h(l) = l**2 - 10*l + 9. Let y be h(9). Which is smaller: w or y? y Let o = 4609 - 4565.66. Let f = o - 43. Which is smaller: f or 0.1? 0.1 Suppose 3*s + 4 = 4*s. Suppose -2*r + 18 = 4*o, -7*o = 4*r - s*o - 26. Which is bigger: r or 4? r Let l = 181321/51 + -10649/3. Do 6 and l have different values? True Suppose 2*k - 11*k = 0. Let s = 0 - k. Which is greater: -1.9 or s? s Let d = 2056 - 2315.4. Which is greater: 0 or d? 0 Suppose y = 6*y - 2*z + 9, 4*y - 4*z + 12 = 0. Let u = -10 + 49/5. Which is greater: u or y? u Let q = -86 - -177. Let h = q - 999/11. Which is smaller: h or -2? -2 Suppose 0 = d - 4*y - 22, -y + 7 = d - 0*y. Suppose i - 2 = 0, 2*b - 5*i + d = b. Let o = 142 - 571/4. Is b greater than or equal to o? True Suppose 13*c - 5*c - 48 = 0. Let n be 3/(-9) - (-374)/c. Is n != 62? False Let t be ((-46)/(-8))/(9/72). Which is greater: 44 or t? t Let s = 1.5 + 7.5. Let z = s + -42. Let q = z + 32.8. Which is smaller: 0 or q? q Let m be (10/(-25))/((-92)/120). Which is bigger: m or 0? m Let i = 2086/5 + -417. Let u(h) = -h**3 - 2*h**2 - 2*h. Let o be u(-2). Let m be (-1)/(-2)*o/(-2). Is i smaller than m? False Let s be 2*-1 + -8 + 6. Let z(l) be the first derivative of -l**2/2 - 3*l + 1. Let r be z(s). Is 0.06 greater than or equal to r? False Let o = -90 - -27. Let f = o - -62.8. Is f greater than 53? False Let q = -5 + 5. Let m be 3 - (q/1)/(-1). Suppose -5*x - m*w = -3, 0*w + 1 = w. Is x at least as big as -2? True Let g be (-10 + 357/34)*-6. Suppose 25 = -5*z - 9*m + 4*m, 5*z + 1 = 3*m. Is z > g? True Let d = 59915/33 - 1815. Is d at least as big as 2? False Let u = 15 - 18. Let g = 9 + u. Let o be (-2)/4*-1*g. Is 3 at least as big as o? True Let x = 73.08 + -73. Which is smaller: 5 or x? x Suppose 0 = 9*a + a - 20. Let v be 13/(13/(-60)) - (-3 + a). Are -59 and v equal? True Let g be 0 + 5 - 6*(1 - 0). Which is bigger: g or 5/84? 5/84 Let n be (18/24)/(9/(-3456)). Is n greater than or equal to -287? False Let l(z) = -24*z**2 + 11*z - 2. Let o be l(4). Let t = o - -1379/4. Which is greater: 3 or t? 3 Let t(j) = 3*j - 152. Let o be t(51). Are o and 15/7 nonequal? True Suppose 0 = 5*y - x + 16 - 10, 3*y + 18 = -3*x. Is 63/10 at most as big as y? False Suppose 2*z + 5*o = -256, -4*o - 559 = 3*z - 189. Which is smaller: -117 or z? z Let l = 109 + -110.4. Let q = 1.444 + l. Which is bigger: 0.1 or q? 0.1 Let g(o) = -3*o + 17. Let d be g(5). Let u = -3 + 1. Let l = u - -3. Is l < d? True Let r(b) = -b**2 - 9*b - 6. Let y(g) = g**3 - 6*g**2 + 6*g - 1. Let j be y(4). Let f = j - 0. Let s be r(f). Are -8 and s non-equal? True Let x(h) = -h. Suppose -4*p = 4*j - 16, -5*j - 4*p + 4 = -15. Let u be x(j). Which is bigger: -24/7 or u? u Let v(y) = 12*y**2 + 8*y. Let p be v(-2). Suppose 4*c - 102 = 26. Are c and p nonequal? False Suppose -4*k = -5*k - 2. Let o(j) = -2*j**3 - j**2 - 3*j - 5. Let d be o(k). Which is bigger: 43/3 or d? 43/3 Let l = 4.5 + -41.5. Let f = 42.1 + l. Let k = f - 5. Which is smaller: -3 or k? -3 Suppose t - 29 = 2*g, 5*g + 15 - 5 = 0. Suppose -5*r + 3*i = i + t, 3*r = 5*i - 34. Which is greater: -14/9 or r? -14/9 Let d be (-6)/15 + 3/(-5). Let x(m) = -m**3 - 5*m**2 + 6*m - 4. Let i be x(-6). Let c be 78/(-1508)*i/3. Is c at most d? False Let h = -20 - -25. Let z(i) = 3 - 2 + 2*i - 2 + i**3 - 4*i - h*i**2. Let y be z(5). Is -11 > y? False Suppose 30*j - 19*j = 627. Let l = j - 68. Let c = -0.4 + 0.3. Which is smaller: c or l? l Suppose -2*k = 5*t + 2*k - 9, -41 = -5*t + 4*k. Suppose 0 = 4*v - 0 - 20, -t*p = -3*v + 35. Which is smaller: p or -5? -5 Let p be 20/(-5) - (1 + -4). Is p at most 0.1? True Suppose -10 + 33 = 23*m. Are m and 121 unequal? True Let v be 1/(-2) - 9/(3 + 15). Which is bigger: -2/129 or v? -2/129 Let y be ((-17)/51)/((-2)/(-1038)). Let o = 172 + y. Let a = -2/209 - 157/5434. Which is smaller: o or a? o Let r(a) = 6*a. Let o be r(-1). Let u = 2.3 + 0.9. Let k = u + -3. Is o greater than or equal to k? False Let u be -1 + 46*(-2)/(-52). Suppose 0 = -3*l + 6, m - 18*l = -20*l + 4. Which is greater: u or m? u Suppose 2*y + 2*f = 6*y + 382, 482 = -5*y - 2*f. Is y > -95? False Let c = -425 + 424.75. Which is bigger: 11 or c? 11 Let a = 8849681/50218476 - 5/652188. Let u = -3458975/357 + 9689. Let y = a - u. Is y >= -4? True Let r = -23 + 32. Suppose -2*j + 11 = -r. Let g be -2 - -3 - 14/(-2). Which is bigger: g or j? j Let f = 1 - 17. Let j = f - -17.1. Let l = j + -0.1. Which is greater: 2 or l? 2 Let p be -6 + (-6560)/(-1224) - (-10)/(-45). Is -2 smaller than p? True Let x = 1.998 - -0.102. Is x <= 1/3? False Let d be 0 + 2 - (31360/(-990))/(-16). Is d < 1? True Let p(m) = 4*m + 1. Let q be p(4). Suppose -3*s + 103 = 55. Which is smaller: q or s? s Let g be (-1)/(3 + 1)*4*-1. Does g = 8/91? False Let u = -65.31 - 2.69. Which is bigger: u or -0.1? -0.1 Suppose 121*h - 147 = 142*h. Let v(j) = -j**2 + 4*j + 3. Let b be v(6). Are h and b equal? False Suppose 27 - 3 = -3*h. Let j be (-3 + (-28)/h)*-22. Let d = -10 - j. Which is bigger: 1/2 or d? d Let p be ((-2)/16)/(98/22441671). Let n = 28625 + p. Let z = 1/112 + n. Is 1 >= z? True Let d = 11/24 + 5/24. Is -16 less than d? True Let l be -2 + (-1 - -1*5). Let u be 6/l - (2 - 1). Let d = 787/474 - -1/158. Which is smaller: u or d? d Let j = -0.01 - -0.08. Let u = -83.93 - -84. Let h = u - j. Is -1 greater than or equal to h? False Suppose 140 = 7*t + 7*t. Let d be (t/15)/((-2)/3 - -1). Is -1 != d? True Let x = -34 - -36. Suppose 7 = -x*m - 3*m - 2*f, -3*f - 4 = m. Which is bigger: 2/15 or m? 2/15 Suppose 0 = -r + 2 + 6. Let t = r - 11. Is t bigger than -4/3? False Let p be (-10815)/(-1575) + 4/30. Is 7 != p? False Let s = -106 - -105. Which is greater: -3/109 or s? -3/109 Let b be 1 + 3 - (-1010)/(-303). Are 858 and b non-equal? True Let k = 4259795565083581013/18867330414241965 - -2/5210530354665. Let f = -11516/51 + k. Let d = f + -2/213. Which is smaller: d or -1? -1 Let d = 7 - 7. Which is greater: d or 2/217? 2/217 Let y = -0.011 - 0.289. Is 20 less than or equal to y? False Let s = 1697/11 + -154. Let v = 33 + -34. Which is bigger: v or s? s Suppose 2*q = 9*q. Let c be (q/1)/((-2)/1). Let
{ "pile_set_name": "DM Mathematics" }
5. Let i(u) = -2*u - 5. What is i(c)? 3 Let v(u) = -41*u + 9. Let g(r) = -30*r + 11. Let c(a) = -3*g(a) + 2*v(a). Determine c(3). 9 Let s(x) be the first derivative of -5/2*x**2 + 1/12*x**4 - 5 + 0*x**3 - x. Let a(k) be the first derivative of s(k). Calculate a(0). -5 Let u(m) be the second derivative of -1/4*m**4 - m**3 - 9*m - 7/2*m**2 + 1/20*m**5 + 0. Suppose 3*j - 4*a = 31, 2*j + 5*a = 4*a + 6. Determine u(j). 13 Let m be ((-126)/81)/7 + 74/9. Let t(n) = n + 3. What is t(m)? 11 Let d(n) = 13*n**3 - 27*n**2 + 30*n + 16. Let q(a) = -8*a**3 + 18*a**2 - 20*a - 11. Let p(b) = -5*d(b) - 8*q(b). Determine p(-10). 8 Let u(l) = -3*l**2 + 12*l + 15. Let m(r) = 5*r**2 - 18*r - 23. Let o(c) = -5*m(c) - 8*u(c). Suppose -24*y - 2 = -25*y. Let x = -2 - y. Give o(x). 3 Let a(v) be the second derivative of v**5/20 - 11*v**4/12 - 3*v**2 + v + 11. Determine a(11). -6 Let q(h) = 7*h**2 + 17*h - 98. Let s(d) = -4*d**2 - 9*d + 50. Let b(l) = -3*q(l) - 5*s(l). Determine b(-10). 4 Let s(w) = -30 + 52 + w - 8 - 2. Give s(-12). 0 Let o(z) = -z**2 - 5*z - 2. Let c be o(-4). Let i(h) = -3*h**c + 10*h + 7*h**2 - 8*h + h**3 + 0*h**3 - 4. Calculate i(-4). -12 Let d(g) be the third derivative of g**5/60 + g**4/4 + 2*g**3 - 14*g**2. Let a be d(-4). Let i(z) = z**3 - 6*z**2 + 5*z + 2. What is i(a)? -10 Let h(l) = -5*l**3 + 9*l**2 - 5*l - 6. Let n(j) = j**3 - j**2 + 1. Let u(m) = -h(m) - 6*n(m). Give u(-4). -4 Let i(c) be the second derivative of 1/24*c**4 + 1/60*c**5 - 1/72*c**6 + 1/3*c**3 - 3*c + 0 + 0*c**2. Let v(f) be the second derivative of i(f). Give v(-1). -6 Suppose -4*p = 2*t - 110, t - 44 = 2*p + 7. Let l = t + -55. Let i(k) = -k**3 - k**2 + k + 1. Give i(l). 3 Let p(w) = -4*w**2 - 34*w - 16. Let n be p(-8). Let i(d) = -d**2 + 2*d - 8. What is i(n)? -8 Let s(l) be the third derivative of l**9/60480 - l**8/3360 + l**7/840 - l**6/144 + 7*l**5/60 - 6*l**2. Let q(u) be the third derivative of s(u). Determine q(5). 0 Let t(w) = 4*w - 47. Let c = -2274 + 2286. Give t(c). 1 Let t(m) = m**2 - 3*m. Suppose -5*l = 4*c - 5*c + 1, -35 = -3*c - l. Suppose -c*q + 16*q - 25 = 0. Determine t(q). 10 Let w(f) = -9*f**3 - 2*f**2 + 2*f - 1. Let t = 36 - 35. What is w(t)? -10 Suppose -71*l - 292 = -8. Let g(p) = -2*p - 4. Let o(n) = -5*n - 8. Let z(i) = -7*g(i) + 3*o(i). Give z(l). 8 Let w(k) = 5*k + 1. Let p(o) = 2*o. Let x(j) = 7*p(j) - 3*w(j). Let u be (2 - 0) + (6 - 5). Let f be 1/(-6)*u*0. Determine x(f). -3 Let a(r) = 11*r**2 - 2*r. Let t = 73 + -72. What is a(t)? 9 Suppose -3*l - 3*k + 16 = -17, 0 = -2*l - 4*k + 32. Let t(h) = 4*h**2 - 4*h - 5. Let p(n) = -3*n**2 + 5*n + 2. Let v(y) = 3*p(y) + 2*t(y). What is v(l)? 2 Let t(k) = k**3 - 17*k**2 - 19*k + 20. Let q be t(18). Let o(v) = -6*v - q - 2*v + 6*v + v. Give o(-4). 2 Let j(z) = 3*z + 3*z - 2 + 3. Let t(r) = 4*r + 13 - 2*r - r**2 - 2*r + 11*r. Let g be t(12). Give j(g). 7 Let h(p) be the first derivative of -p**4/4 - 4*p**3/3 + p**2/2 + 3*p + 394. What is h(-5)? 23 Let b(x) = -3*x + 2. Suppose -6*h = -3*h + 6. Let t(i) = -8*i + 6. Let j(l) = h*t(l) + 7*b(l). Let w(g) = g**3 - 5*g**2 - g + 3. Let z be w(5). What is j(z)? 12 Let a(n) = n - 6 + n**3 + 30*n**2 - 41*n**2 + 2*n + 8*n. Determine a(10). 4 Let k(v) = 2*v + 87. Let u(g) = g + 43. Let f(d) = -3*k(d) + 7*u(d). Calculate f(0). 40 Let j(g) = -g**2 - 2*g. Let h(x) = -3*x**2 - 4*x - 1. Let a(k) = h(k) - 4*j(k). Calculate a(-3). -4 Let h be (3/6)/((-1)/(-6)). Let f(t) = 2*t**2 - t + 41 - 2*t - 45. Give f(h). 5 Let m(x) = 1 - 11*x + 7 + 14 - 21. What is m(2)? -21 Let w(k) = -k**2 - 4*k + 2. Let z be (5/(-30)*-3)/(1/(-10)). What is w(z)? -3 Suppose 12 - 20 = -4*h. Let v(l) = 5*l + 3*l**2 + 5*l**h - 7*l**2 - l - 1. Calculate v(-4). -1 Let a(s) be the second derivative of s**4/12 + 7*s**2 - 65*s. Give a(0). 14 Let j(v) = -v**2 - 8*v - 5. Let x(n) = -n**3 + 10*n**2 - 10*n + 1. Suppose -3*c - 3*m + 20 + 16 = 0, -30 = -3*c - m. Let o be x(c). Determine j(o). -5 Let u(r) = 2. Let k(y) = y + 17. Let o(b) = k(b) - 4*u(b). Determine o(-9). 0 Suppose -2 = 3*d + 5*q, -5*d - 2*q + 0 = -3. Let o(l) be the first derivative of l**3 + l**2 - l + 3. Give o(d). 4 Let b be 96/(-56) - (-3 - 23/(-7)). Let i(t) = t**3 - 3*t - 3. Calculate i(b). -5 Let n(r) = -r**2 + 2*r + 16. Let j = 1446 + -1446. Determine n(j). 16 Let j(a) = 4*a**2 - 3*a**2 - 3*a - a. Suppose 0 = 4*o - 5*v + 5, -2*o = -0*o - v - 5. Let i(p) = -p**3 + 6*p**2 - 4*p - 3. Let w be i(o). What is j(w)? -4 Suppose 3*u - 22 = 4*o, -2*u - 9*o + 10*o = -8. Let m(w) be the third derivative of 0*w + 1/6*w**3 + 1/12*w**5 + 1/12*w**4 - 10*w**u + 0. Determine m(-1). 4 Let j be (2/(-10) + -1)*20. Let t = -12 - j. Suppose 2*p = -0*p + t. Let u(m) = -m**2 + 6*m - 6. What is u(p)? -6 Let p be (-3)/(-2) - 1*(-9)/6. Let k(y) = -279 + 268 - 9*y**2 + 10*y - 2*y**p + 3*y**3. Determine k(8). 5 Suppose 0 = 2*w + 7*i - 3*i - 30, -5*w = 3*i - 68. Let y(f) = f**2 + 21*f + 6 - w*f - 12*f. Give y(5). 11 Let s be (-4 - -3)*1*-57. Let u = 55 - s. Let w(a) = -16*a - 2. Calculate w(u). 30 Let t = 92 + -64. Suppose -2*c = -0*c + t. Let q be 21/c - 1/(-2). Let u(k) = 2*k**2 - 1. Calculate u(q). 1 Suppose 10*i - 417 + 107 = 0. Suppose -5*a = -i + 11. Let g(j) = j - 5. Determine g(a). -1 Suppose -15*n - n - 160 = 0. Let a be (-2)/n - 180/25. Let w(v) = -2*v - 2. Calculate w(a). 12 Let j(y) be the first derivative of 1/2*y**2 - 7*y - 1. What is j(0)? -7 Let h(m) be the first derivative of 29*m**2/2 - 2*m + 563. Calculate h(2). 56 Suppose 3*r - 2*r + 6 = 0. Let x(f) be the first derivative of 1/4*f**4 - f**2 - 8*f - 7 + 2*f**3. What is x(r)? 4 Suppose 0 = j - 5*j + 8. Let b(u) = -4 + u**3 + 0*u**2 - 5*u**2 - u + 2*u**j. Let q(w) = w**2 + 3*w + 5. Let m be q(-2). Calculate b(m). -7 Let b(z) = 5 - 9 + 21*z - 22*z. Let l be -1 + 5 + 1 + 1. Suppose l + 6 = -2*k. Calculate b(k). 2 Let f(c) be the second derivative of 0 - 9*c + 0*c**2 + 1/3*c**3. Calculate f(1). 2 Suppose 2*o = -6*x + x + 13, 0 = 4*o - 16. Let m be 3 + -7 + (-30)/(-5). Let c = m - x. Let q(i) = -4*i + 1. Give q(c). -3 Suppose -20 = -5*k + k. Let f(m) = -m**2 + 26*m - 3. Let l(t) = -t**2 + 33*t - 5. Let z(g) = -4*f(g) + 3*l(g). Give z(k). -3 Let l(f) be the second derivative of -f**5/120 + 7*f**4/24 - f**3/2 - 4*f. Let u(h) be the second derivative of l(h). Let o = -23 + 29. Give u(o). 1 Let o be 2/(-4) + (-35)/(-10). Suppose -2*n - 8 = -4*l, -4*l - o*n = -2*l + 12. Let m(z) = -4*z**2 + 1 + l*z**2 - 2*z**2 + 4*z**2 - 2*z. Calculate m(-2). -3 Let t = 17 + -13. Let u(a) = t - 1 - 14*a - 4. Give u(-1). 13 Let r(f) = f**2 - f - 9. Let i be r(4). Let d(k) = -9 + i*k + 1 - 2*k + 6. Suppose -z + 3*z = -12. Determine d(z). -8 Let q(n) = -n - 1. Let a(y) = -4*y + 52. Let g be a(13). Suppose -4*k - i - 1 + 3 = g, -2*k = -i + 2. Give q(k). -1 Let c be (-9)/1 - (-15 + 11). Let l(i) = -i**2 - 3*i - 1. What is l(c)? -11 Let a(l) = l**3 + 2*l - 1. Suppose 0 = x - i - 9, 4 = -2*i - 6. Let w(z) = -z**2 - 1. Let r(v) = x*w(v) - a(v). What is r(-3)? -6 Suppose -7*c + 16 = -5. Let i(x) = 2 - c*x + 4*x - 6*x + 4*x. Calculate i(-3). 5 Let z(a) be the second derivative of 0 + 2*a**2 - 1/6*a**3 - 4*a. What is z(5)? -1 Let s(t) = t**2 - t + 9. Let l be s(0). Let p be (3/(-4))/(l/(-36)). Let f(a) = -a**2 - 4*a + 4. Give f(p). -17 Let j(x) be the third derivative of -x**4/24 + x**3/6 + 2*x**2 + 15. Suppose k = -0*k - 4. Calculate j(k). 5 Let q(x) = x**3 + 2*x**2 - x - 4. Let t(h) = -2*h**3 - 4*h**2 + h + 7. Let a(b) = -5*q(b) - 3*t(b). Let v be a(-2). Let k(c) = -c - 7. Give k(v). -2 Let w(z) = -z**2 + 9*z + 15. Suppose -11*m = -74 - 36. Give w(m). 5 Let u(o) = o + 1. Suppose -5*c = -7*c. Suppose 0 = -x - c*x - 29. Let i = 27 + x. Calculate u(i). -1 Suppose -10*o = -13*o + 27. Let u(h) = h**3 - 8*h**2 - 11*h + 9. Give u(o). -9 Let o(p) = -p**3 + 5*p**2 + 11*p + 17. Let n be 65/9 - (-4)/(-18). Let b be o(n). Let t(l) = -2*l + 4. Determine t(b). 12 Let h(o) be the first derivative of o**6/360 + 7*o**5/120 - 7*o**4/24 - 6*o**3 + 4. Let n(i) be the third derivative of h(i). Calculate n(-7). -7 Let z(i) = 2*i**3 - 3*i**2 + i. Let g = -8 - -7. Let u = -4 - g. Let r be ((-2)/4)/(u/12). Calculate z(r). 6 Let t(l) = 5*l**3 - 12*l**2 + 2*l + 5. Let j(w) = -3*w**3 + 6*w**2 - w - 2. Let h(a) = -7*j(a) - 4*t(a). What is h(-6)? 0 Let s(y) = -y*
{ "pile_set_name": "DM Mathematics" }
*3 - 7*o**2 + 8*o - 7. Let p be k(6). Suppose 0 = -4*c + p*c. Solve -2*h - v*h = c for h. 0 Let d(j) = -12*j - 28. Let x be d(-6). Suppose -v = -12*v + x. Solve -5*r = -v - 16 for r. 4 Let v be -1 + -9 - 2*-1. Let t be (v/(-1))/(-1 + 3). Suppose -3*m + 1 = -t*m - k, 5*m - 5*k = 5. Solve m = r + r - 4 for r. 2 Suppose 43*d = 12*d. Solve 3*k - 7*k - 12 = d for k. -3 Let g(o) = -o. Suppose 2*c - 2*p - 4 = -2, -2*c - p - 1 = 0. Let d be g(c). Solve d = -4*z + 3 - 15 for z. -3 Let y = 42 - 42. Solve y = -0*u - 2*u + 2 for u. 1 Let x(h) = -2*h**3 - 2*h + 4. Let d be x(-3). Suppose -4*b + 0*b + d = 0. Let t be b*(-1 + (-6)/(-4)). Solve s - 3*s = t for s. -4 Let y = 6 - 4. Let j(v) be the first derivative of -v**2 + 18*v + 18. Let k be j(9). Solve k = -f - y*f for f. 0 Let z be (-1)/(-2)*14*1. Let a(t) = 2*t**2 + 6*t - 5. Let x be a(5). Suppose -6*b = -11*b + x. Solve -4*u = -z*u - b for u. -5 Let d be 6/10 - (-583)/(-55). Let i = d + 10. Let z = 0 + 8. Solve i + z = 4*y for y. 2 Let t be (0 - -6)*5/15. Let p(b) = b**3 + 3*b**2 - 2*b. Let n be p(-4). Let c = 8 + n. Solve -t*q + 0*q = c for q. 0 Let z(l) = -l**2 - 6*l + 27. Let y be z(-9). Solve y = 9*v + v - 50 for v. 5 Let o be ((68/68)/((-2)/4))/((-1)/8). Suppose 3*m - 5*m = 0, -2*m + 24 = 3*h. Solve -h*i = -4*i + o for i. -4 Suppose -4*b = 3 - 7. Suppose -33 = -5*s - 3*j, 5*j + b = 2*s - 6. Solve -i - s = 2*i for i. -2 Suppose -4*r - 2*q + 20 = -0*q, 21 = 3*r + 3*q. Let c = r - -2. Suppose c*d = 2*d - 5*a + 16, 5*a = 4*d + 2. Solve -d - 2 = 4*k for k. -1 Suppose -3*y = -5*w + 29, -w + 9*y - 5*y - 1 = 0. Let i = -18 - -23. Solve -2*p + w = i for p. 1 Let o be (-228)/(-285) + (-8)/10. Solve -3 = -k - o for k. 3 Let v(c) = -2*c**3 - 93*c**2 + 145*c + 103. Let p be v(-48). Solve 20*g + p = 31*g for g. 5 Let c be (-24)/10*(0 - -5). Let f be c/18 + 2/3. Let x(q) = q**3 + 3*q**2 + 3. Let o be x(-3). Solve -o*y - 5 - 7 = f for y. -4 Suppose -5*w - 5*o + 55 = 0, -4*o = w + 7 - 12. Solve -w = 2*f - 3 for f. -5 Suppose -13*t + 6*t = -63. Solve -t*f - 25 = -4*f for f. -5 Suppose 0 = 8*z - 16 + 48. Let a(o) = -2*o**3 - 8*o**2 - 3*o - 6. Let j be a(z). Suppose j*t = 9*t. Solve t = -c + 5*c for c. 0 Let w = 8 + -4. Suppose 12 = 4*k, -5 = -w*j + 6*k - k. Suppose j*s = s + 16. Solve 0*b - b = -s for b. 4 Let n(f) = f**3 - f**2 - 1. Let c be (-12)/(-5) - (-2)/(-5). Let s be n(c). Let a(u) = -3*u + 2. Let t be a(-5). Solve s*x = -t + 2 for x. -5 Suppose -14 = -5*g - 2*n, 4*n = g - 3 - 13. Suppose 3*c - 5*c = -g. Solve o - c = -3 for o. -1 Let o = 8 + -6. Suppose 5*w + 3*h = -0*w + 71, 0 = o*w - 5*h - 47. Let r = w + -13. Solve -1 - r = 4*f for f. -1 Let w be (0/(-7 - -2))/(-1 + 0). Suppose -13 = -2*m + o, 3*m + w*m + 3*o = -3. Solve m*k = 2 - 10 for k. -2 Suppose 2*z - 6 = -z. Solve -2 = -4*t + z for t. 1 Let a = -8 - -9. Let v be 3/(-9) + 128/6. Let n = v + -14. Solve -n = 2*l - a for l. -3 Let m be 3 + (-14 + 4 - 1). Let x(k) = k + 10. Let q be x(m). Suppose -q = o - 2*o. Solve o*v + v = 0 for v. 0 Let t = -73 - -89. Solve -8*m - t = -4*m for m. -4 Suppose 0 = 3*v + v + 2*i + 136, -3*i = 5*v + 170. Let q = v + 37. Solve -q = -r - 4 for r. -1 Let g be (-12)/(-30)*-1 + 4/10. Solve -h + 0 - 5 = g for h. -5 Suppose -c - 4*k = -36 + 9, -2*c + 14 = -2*k. Solve -23 = c*l - 12 for l. -1 Let g(d) = -d**2 + 8*d + 13. Let m be g(9). Suppose m*v - 28 = -4*q, 2*v = -3*q - 0*v + 19. Solve -q*k = -8 - 7 for k. 3 Let s = 64 + -61. Solve s*x = 13*x + 20 for x. -2 Let d be 10/(-2)*552/(-115). Solve 5*n = -n - d for n. -4 Let d be 16/(-6)*129/(-172). Let h = 2 - 0. Suppose h*m - 15 = -5. Solve d*v = v - m for v. -5 Suppose 95 = -23*g + 28*g. Let n be (2 - 0)*-1*-1. Let z be (-378)/(-99) - n/(-11). Solve -3*m + g = z for m. 5 Let k(c) = 5*c + 6. Let m be k(-2). Let u be (-2 - -3)*(0/(-3))/m. Solve u = 2*h + 2*h + 12 for h. -3 Suppose -9*a + 5*c = -6*a - 72, 0 = -4*a - 4*c + 64. Solve 21 = -a*w + 97 for w. 4 Suppose -g = -4*l + 23, -2*l - 431 + 429 = 4*g. Solve 0 = -l*b - b - 3*b for b. 0 Suppose -4*f - 15 = 5. Let u = 10 - f. Solve -3*v - u = 2*v for v. -3 Let p be 3 + 9*2/(-6). Solve d + 3 - 6 = p for d. 3 Suppose -3*v = -v. Let g(f) = -9*f + 74. Let b be g(8). Solve -s + 0*s + b = v for s. 2 Let i(l) = l**2 - 2*l - 20. Let y be i(7). Solve -6*r + y = 3 for r. 2 Let o(x) = 4*x**2 + 3*x. Let m be o(-2). Let d be ((-8)/m)/(1/(-10)). Suppose 3*u = -u + 16. Solve -u*c = 12 + d for c. -5 Let t(p) = 49*p + 547. Let q be t(-11). Solve -9 + 1 = -q*r for r. 1 Let a(p) = -3*p**2 + 5*p + 5. Let d be a(4). Let s = d - -26. Solve 8 + 1 = -s*i for i. -3 Suppose 2*x - 280 = 9*x. Let s = x + 40. Solve 6 = -2*k - s*k for k. -3 Let y(c) = c**3 - 4*c**2 + 3*c. Let s(r) = -r**2 - 13*r - 33. Let w be s(-9). Let v be y(w). Solve d + 4 - 6 = v for d. 2 Let z be -2 - 39/(-3) - (3 + 0). Solve 6 = -z*h + 5*h for h. -2 Suppose -5*b = 4*z - 10 - 11, 0 = 2*b - 2*z - 12. Solve 10 = -b*t + 25 for t. 3 Suppose w = 4*a - 136, -w + 12 = 2*a - 56. Solve a*i = 37*i for i. 0 Let s(g) = -244*g**2 + 2*g - 2*g + 245*g**2. Let a be s(1). Solve 14 = -5*z - a for z. -3 Let n be 5 + ((-8)/(-4) - -2). Solve n - 5 = 2*d for d. 2 Let n(v) be the first derivative of 2*v**3/3 - 7*v**2 + 14*v - 9. Let c be n(6). Suppose 4*w = o + 3 + 6, 4*w - c*o - 10 = 0. Solve -a = -w*a for a. 0 Let r(l) = -8*l + 7*l + l**2 + 5 + 0*l**2. Let u be r(0). Solve -5*n + u = -10 for n. 3 Let p(t) = 6*t**2 - 2*t - 2. Let g be p(-1). Suppose g = -6*u + 7*u + d, 0 = 4*u - 3*d - 17. Solve -5*y = -0*y - u for y. 1 Let o be 915/25 - 1*(-6)/(-10). Solve -o*z = -43*z for z. 0 Let y be (14/3)/(8/12). Suppose a = -0*a - y. Let j(r) = r**2 + 7*r. Let l be j(a). Solve 3*c + 0 + 6 = l for c. -2 Suppose -22 = 2*p + 2*p - q, 5*p - 4*q = -22. Let c be (-3 - p) + (12 - -2). Solve 0 = 4*n - 3 - c for n. 5 Let p(f) = f**3 - 6*f**2 - 16*f + 6. Let v be p(8). Solve 0 = 2*a - v*a for a. 0 Suppose -24*m + 26 = -11*m. Solve -1 = m*v + 9 for v. -5 Let d(m) = -73*m + 1. Let b be d(0). Solve -2*c - 3 + b = 0 for c. -1 Suppose -7*x - 28*x + 210 = 0. Let r(c) = -c**2 + 8*c + 2. Let n be r(8). Solve -n*j + x = j for j. 2 Let v be (-1 + (-7)/(-5))*50/5. Let r = v + 1. Solve r*b - 10 = -0*b for b. 2 Let y be 2/2*0 - -2. Suppose 0 = 2*b - 15 + 3. Let n = b + 1. Solve y*a - 15 = n*a for a. -3 Suppose -u + 32 = 7*u. Suppose -n + 20 = u*n. Solve 2*q - n*q + 8 = 0 for q. 4 Let g(i) = i**3 - i**2 - 2. Let j be g(2). Let q be (21/28 + 25/(-20))*-6. Solve -q*b - j = -b for b. -1 Suppose 0 = 5*q + 4*u + 88, 2*q - 2*u - 20 = 3*q. Let d = 27 + q. Let k = d + -9. Solve -3*o + 1 = -k for o. 1 Let g be ((-8)/(-9))/((-14)/(-63)). Solve g*a = a - 6 for a. -2 Let y = 233 - 194. Solve -32 = -7*p - y for p. -1 Suppose 3*g = p + 29, 4*g - 64 = -p - 4*p. Let h(o) = -12*o**2 + 45*o + 16. Let n be h(4). Solve -n = 5*s + g for s. -3 Suppose 66 = 7*p - 74. Solve 5 = -5*j - p for j. -5 Suppose -2*j - 32 = -5*v + 258, 0 = j. Solve -v*y + 55*y = 0 for y. 0 Suppose -5*i + 22 = 2. Let w be (315/(-10))/(-7)*i. Solve 4*l = w + 2 for l. 5 Suppose 15*x - 16*x + 3 = 0. Solve x*c - 4 = -10 for c. -2 Suppose -3*w + k + 2*k = -240, 3*w - 260 = -2*k. Let l = w - 80. Solve 2*g - l*g = 0 for g. 0 Let r(f) = f**3 + 10*f**2 - 13*f - 15. Let a be r(-11). Suppose -4*v + 9 = 4*z - a, 4*z + 5*v = 17. Solve -15 = z*l - 3 for l. -4 Let b(h) be the second derivative of -h**5/20 - h**4/3 + 11*h**3/6 - 5*h**2/2 + 5*h. Let o be b(-6). Solve -o = j - 6 for j. 5 Suppose -7*a + 239 - 225 = 0. Solve 241 = a*j + 237 for j. 2 Let a(v) = v**2 - 4*v - 1. Let m be a(5). Let l be 4 - (3 - -3) - -11. Suppose 13*w - 36 = l*w. Solve -w = m*f - 29 for f. 5 Let q = 1 + 1. Let b(m) = 2 + m - m**2 - 5 + 2*m**q + 2*m. Let c be b(4). Solve 2*x = 7*x - c for x. 5 Let s be (-9)/4 + 85/20. Solve 11*g + 20 = -s for g. -2 Let c(t) = t**3 - 24*t**2 - 35*t + 255. Let z be c(25). Let k(w) = w + 5. Let p be k(7). Solve -r = -z*r + p for r. 3 Let z = -31 - -35. Suppose k + 8 = 2*t, -2*k = -z*t + k + 18. Solve -5*h = -2*h + t for h. -1 Let o(a) = a**2 + 3*a + 2. Let r be o(0). Let q(n) = 3*n**2 + 2*n - 1. Let l be q(1). Suppose -4*k = z + 2*z, 2*z + l*k = 0. Solve r*i + 0 - 10 = z for i. 5 Let a be 24/(-6)*3/(-4). Suppose -80 = -a*r - r. Let j be r*(-1 + 3)/2. Solve -i + j = 4*i for i. 4 Let t(z) = 4*z + 2. Let
{ "pile_set_name": "DM Mathematics" }
+ 4*p - 18, t + 12 = 4*p - 3. Calculate y(t). 2 Let h(a) = 2*a**2 + 3*a - 4. Let f be h(-3). Suppose 9 + 6 = f*b. Let u(i) = -i**3 + 4*i**3 - b*i**3 + i**3 - 2*i - 5*i**2 + 7. Determine u(5). -3 Let j(d) be the third derivative of -d**6/120 + d**3/6 - 10*d**2. Suppose -3*b + 2*i - 4*i = -3, -4*i - 4 = -4*b. What is j(b)? 0 Suppose -5*q + 32 = 2. Let a(s) = -s**2 + 6*s - 4. Calculate a(q). -4 Let f(i) = -2*i + 7. Let h(o) = 1 + 3 + 0 - 5. Let j(w) = w - 6. Let v be j(5). Let k(t) = v*f(t) - 6*h(t). Give k(-1). -3 Let p(a) = 3*a - 2*a + 0*a - 2. Let m = -1 - 1. Let t be (-15)/5 + (-14)/m. What is p(t)? 2 Suppose 0 = -f + 3 - 0. Suppose 2*c - 10 = -f*c. Let u(g) be the first derivative of -g**2 - g + 97. Determine u(c). -5 Let p(n) = n + 4. Let a be p(-7). Let y(c) = -6*c. Let v(k) = 2*k. Let h(l) = 16*v(l) + 5*y(l). Give h(a). -6 Let k(r) = r**2. Let d(b) = -b**3 + 3*b - 4. Let u(z) = -d(z) + 4*k(z). Give u(-5). -6 Let o(z) = -z + 3 - 5 - 5 + 2. Calculate o(-4). -1 Suppose 5*k - 2*x = 27, 0*x = -4*k - 5*x + 15. Let o(g) = -g**2 + 7*g - 7. Give o(k). 3 Let a(i) = -i - 1. Suppose 3 = -p + 4. Let o = -1 + p. Determine a(o). -1 Let j(s) = 5*s**2 + 4*s + 3. Let b(u) = -15*u**2 - 11*u - 8. Let m(k) = -4*b(k) - 11*j(k). Let g be m(-1). Let y(v) = 2*v - 6. Give y(g). 2 Let m(q) = 10*q + 8*q - 19*q + 2 + 4. What is m(7)? -1 Let j(g) = 3*g - 2 - 2*g - 3*g. What is j(-5)? 8 Suppose 4*g = -0*g. Let o(y) be the first derivative of 3*y**2/2 + 2. Let u(b) = 4*b + 1. Let a(i) = -5*o(i) + 4*u(i). Determine a(g). 4 Let y(u) = -u**2 + 4*u + 3. Let d be ((-20)/(-6))/(6/(-9)). Let q(b) = b**2 - 4*b - 3. Let k(x) = d*q(x) - 4*y(x). Give k(4). 3 Let o(k) = 0*k - 17 - k + 13. What is o(4)? -8 Let t(l) = 5*l**2 + 2*l - 2. Let z(v) = -7*v - 47. Let x be z(-7). What is t(x)? 22 Suppose 3*v = a - 9, 1 = -3*a - 3*v - 2*v. Let t(q) = -q**3 + 4*q**2 - 3*q - 1. Determine t(a). -1 Let r(z) = -z**2 + 6*z + 4. Let u(f) = f**2 - f. Let b(n) = r(n) + 2*u(n). Give b(-3). 1 Let q(s) = 4*s**2 + s**3 - 180 + 179 - 2*s**2. Calculate q(-1). 0 Let p(a) = a**3 + 2*a**2 - 8*a + 0*a**2 + 4*a - 2. Let b be 60/14 - (-8)/(-28). Suppose 4*g = 3*h + g + 21, -h = b*g - 13. Calculate p(h). 1 Let v(p) = 9*p**3 + 3*p**2 - 2. Let h(x) = 5*x**3 + x**2 - 1. Let a(z) = 7*h(z) - 4*v(z). Give a(-5). 1 Suppose -5*x - 22 = -h - 10*x, -2*h + 5*x - 16 = 0. Let l(y) = 2*y + 3. Let z(b) = -1. Let m(a) = -l(a) - 4*z(a). What is m(h)? -3 Let i(v) = v**2 - v. Let w be i(1). Let d(j) = 2*j + 1 + w - 2. Let n = -6 + 5. Determine d(n). -3 Let y(f) be the second derivative of 2*f**4/3 + 2*f**3/3 - 3*f**2/2 - 4*f. Let w(l) = 7*l**2 + 4*l - 2. Let n(r) = 6*w(r) - 5*y(r). Determine n(-3). 9 Suppose -5*z + 17 = -q, 2*z = -3*q - 3*z + 29. Let i(c) = 26*c**3 - 25*c**3 - 3*c**2 + 2 + 2 + 2*c - c**2. Calculate i(q). 1 Let b(o) = -16*o**2 - 50*o + 21. Let m(t) = 3*t**2 + 10*t - 4. Let s(a) = -2*b(a) - 11*m(a). Calculate s(-9). 11 Let n(c) = 4519 - 4519 - c. Determine n(-3). 3 Let i(f) = -3*f**2 + 2. Suppose 3*x - 1 = -7. Calculate i(x). -10 Let g(u) = 4*u**2 + 10*u + 7. Let i(n) = 5*n**2 + 11*n + 8. Let y(w) = -6*g(w) + 5*i(w). What is y(4)? -6 Let g(w) = 3*w**2 + 2*w - 2. Let r(d) = d**2 + 1. Let b be -3*((-15)/(-9))/(-5). Let a(c) = b*g(c) - 2*r(c). Determine a(-4). 4 Let r(b) = -6*b + 14. Let m(u) = 5*u - 11. Let n(z) = -5*m(z) - 4*r(z). Suppose -2*h = -0*h + 4. Determine n(h). 1 Suppose 4*z = -4*q + 8, 3*q + 5*z = -0*q + 8. Let y = q + 4. Let h(w) = 2*w - 4. Give h(y). 6 Let w(o) = -183 + 2*o**2 - 5*o + 183. Give w(4). 12 Suppose y = b + 3, y - 19 = 5*b + 4. Suppose l + 5 = -0. Let j(x) = 7*x**2 + 16*x + 17. Let w(z) = 11*z**2 + 24*z + 26. Let i(v) = l*w(v) + 8*j(v). Give i(b). -9 Let s be 1 - (0 + -1)/1. Let q = -3 + s. Let p be (-2 - (7 + q))/(-2). Let w(a) = a**2 - 4*a - 1. Calculate w(p). -1 Let v be ((-35)/10)/7 + (-9)/2. Let c(g) = g + 7. Determine c(v). 2 Let y(l) be the third derivative of -l**8/3360 + l**7/840 + l**4/24 + 2*l**2. Let n(v) be the second derivative of y(v). Let w = 5 + -3. Give n(w). -4 Let y(x) be the second derivative of x**4/12 - x**3/6 + x**2/2 + 22*x. Calculate y(3). 7 Let z(l) = -l**2 - 3*l + 2. Let x be z(-4). Let m be 1/2 - 25/(-10). Let v(s) = 2*s - 3 + 0*s + 4 - m*s. Determine v(x). 3 Suppose -3*t + 13 = 4. Let u(q) = q**2 + 2*q + 3*q**2 - 3*q**2 - 5 + t*q. Determine u(-4). -9 Let y be (1/3)/(2/6). Let t(h) = -3*h**3 + h**2 - 2*h + 1. Calculate t(y). -3 Let y(n) = -n**3 - 3*n**2 - 2*n - 1. Let v(r) = r**2 - 5*r - 5. Let m be v(6). Let t be (-6)/3 + m + 12. Let g = 8 - t. What is y(g)? 5 Suppose 3*m + 42 = 3*x, 0*x - x - 1 = -4*m. Suppose 3*d - x + 5 = v, 0 = 3*d - 12. Let a(o) = o**3 + 2*o**2 - 2*o - 1. What is a(v)? 3 Let z(a) = a**3 + 7*a**2 - 9*a - 11. Let b = -15 + 7. Let o be z(b). Let n(d) = 10 - 3 + 0*d + d. Give n(o). 4 Let k(c) be the third derivative of c**7/840 - c**6/120 + c**5/40 - c**4/12 + c**3 + c**2. Let a(g) be the first derivative of k(g). Calculate a(3). 7 Let o be ((-8)/(-14))/(36/126). Suppose 2*r + 0*r = t - 11, 0 = -2*r + 4. Let f(y) = 0*y - 4*y - 16*y**o + t*y**2 - y. Calculate f(-4). 4 Let t(w) = w**3 + 4*w**2 + 4*w. Let d be t(-3). Let z(c) = 5*c - 22 + 18 + 2*c**2 + 8. Determine z(d). 7 Let r = -4 + -2. Let f(w) be the first derivative of -w**3/3 - 7*w**2/2 + w + 38. What is f(r)? 7 Let v(r) = r**3 + 5*r**2 - 5*r + 8. Let k be v(-6). Let c(b) = 6 + 7*b**k - 10*b**2 + b + 4*b**2. Suppose 0*l = 4*l. What is c(l)? 6 Let x(n) be the second derivative of n**4/4 - n**3/3 + n**2/2 - 3*n. Let q be -2 - 1 - -3 - -2. Give x(q). 9 Let n(m) = -m + 3. Let g be n(0). Let z(q) = 1 - 3*q**2 - 2*q - 9*q**2 + g*q**2. Suppose -3*s + 7 = 2*a - 2, a + 2 = 5*s. Give z(s). -10 Let q(v) = -5*v**2 - 2*v + 1. Let p(u) = -14*u**2 - 6*u + 4. Let y(d) = -4*p(d) + 11*q(d). Let x be (-2)/3 + 30/(-9). Let c be x*(-1)/(2/(-2)). Give y(c). 3 Let i(x) be the second derivative of 2*x - 1/6*x**3 + 0 - 2*x**2. Suppose -4*k = -15 + 3. Calculate i(k). -7 Let i be (-10)/(-6) - (-2)/6. Let n(f) = 0*f**2 + f + 0*f**i + f**2 + 4 - 2*f**2. Determine n(4). -8 Let w(l) = -l**2 + 5*l + 7. Let k(u) = u**2 - 4*u - 6. Let s(t) = -4*k(t) - 3*w(t). Suppose 0*d - 3 = -d. Let f(p) = -p + 6. Let z be f(d). Determine s(z). -3 Suppose 3 + 3 = 3*h. Suppose 4*n = -h*t + n + 1, n = -t + 1. Let x be (t/1 + -1)*6. Let u(i) = i**2 - 7*i. Determine u(x). -6 Let t = 13 + -10. Let i(s) = s**3 - 4*s**2. Let g be i(4). Let f(j) = -7 + j**t - j + g*j**3 + 3. What is f(0)? -4 Let q(k) = k**3 - 4*k**2 - 4*k - 1. Let t be -3 + (5 + 3 - 3). Suppose -3*i + 1 = -t*i - 2*b, 7 = 3*i - 4*b. What is q(i)? 4 Suppose 2 = 2*g - 2. Let m(h) = -4 + h**3 + 0 + h**2 - g*h**2. Let d(a) = -a**3 - a**2 - a - 1. Let u be d(-1). Give m(u). -4 Let m(f) = f**3 + 4*f**2 + f. Let p be ((-4 - 3) + 5)/((-2)/(-4)). Give m(p). -4 Let n = -15 + 17. Let d(j) = -6*j**2 + j. Calculate d(n). -22 Suppose 3*a + 3 + 0 = 0. Let t(f) be the first derivative of -3*f**4/2 - f**3/3 - f**2 - f - 3. Calculate t(a). 6 Let a(h) = -6*h - 7. Let r = -16 + 11. Let o(q) be the first derivative of -11*q**2/2 - 13*q - 1. Let g(l) = r*a(l) + 3*o(l). What is g(-4)? 8 Let q(t) = -3*t - 3. Suppose -3 = 5*w + 7. Let j = w + 5. Suppose -2*u - j*z - 9 = 0, 3*u = -u - z - 13. Determine q(u). 6 Let w(y) = -y**3 - 2*y**2 + 3*y + 2. Suppose 2 = 3*h - 5*h. Let u be (2 - h)/(2 - 3). Calculate w(u). 2 Let q(h) = h - 3*h + 4 + 3*h. Let d = -27 - -32. Calculate q(d). 9 Suppose 4*b = -3*b. Let i(c) = c. Calculate i(b). 0 Let i = 3 - 0. Suppose -3 - 9 = i*t. Let z(s) = 0*s - 3 + 2*s - s. Give z(t). -7 Let m(h) = -h**3 + 3*h**2 - 2. Let t(n) = n**3 + 5*n**2 - 7*n. Let z be t(-6). Suppose 6 = 4*o - z. Calculate m(o). -2 Let y(v) = 9*v + 5. Let k(p) = -19*p - 12. Let w(b) = 4*k(b) + 9*y(b). Determine w(-6). -33 Suppose 4*l + 17 = -g, 0 = -7*g + 2*g + 3*l - 16. Let c(z) be the second derivative of 0 + 5*z - 7/2*z**2 + 1/12*z**4 + 1/2*z**3. Determine c(g). 3 Let h(d) = -d**3 - 5*d**2 + 6. Let k be h(-5). Let w(n) = -n**3 + 5*n**2 + 6*n. Let y be w(k). Let t(z) = -2*z + 6 + 0 + 3*z. Give t(y). 6 Let g(x) = x**2 - 7*x + 6. Let m(c) = -c**3 - 3*c**2 - c + 4. Let q be m(-3). Calculate g(q). 6 Let o(b) = b**3 - 5*b**2 - 5*b - 15. Let v(f) = -2*f**3 + 11*f**2 + 11*f + 31. Let m(i) = 9*o(i) + 4*v(i). Suppos
{ "pile_set_name": "DM Mathematics" }
econd derivative of -233543*g**3*n**4 - 20*g**3*n - 5*g**3 + 13*g - 4*n wrt n? -2802516*g**3*n**2 What is the second derivative of -83*i*k**4 + 218*i*k**3 + 12*i*k + 126*i - 16*k**3 + 21*k - 4 wrt k? -996*i*k**2 + 1308*i*k - 96*k What is the second derivative of -445825*z**4 + 5*z - 10243? -5349900*z**2 Find the second derivative of -5062*x**4 - 2*x**3 + 126*x - 320. -60744*x**2 - 12*x What is the derivative of 5041721*a**3*w + 7*a**3 + 3*a**2 - 1252*a + 2 wrt w? 5041721*a**3 Find the third derivative of 442*b**3*l**3 - 4*b**3*l**2*p - 4*b**2*l**3 - 14*b*l - 24*b*p + 3*l**3*p + l**2*p wrt b. 2652*l**3 - 24*l**2*p Find the third derivative of 46311*n**3*u - 3727*n**2*u - 2*n**2 + 2*u wrt n. 277866*u Find the first derivative of 73504*g**3 - 2195. 220512*g**2 Find the second derivative of -705390*k**2 + 1450*k - 91. -1410780 What is the second derivative of 102*c**3*v**2 - c**3*v + 54*c**3 + 5152*c**2*v**3 - 38*c**2*v + 3*c - 2 wrt v? 204*c**3 + 30912*c**2*v What is the second derivative of -181475*d**5 + 28329*d wrt d? -3629500*d**3 What is the third derivative of h**2*s*w**3 + 88*h**2*w**2 + 11*h**2 - 3*h*s**2*w**3 - 21*s**2*w - 3520*s*w**3 wrt w? 6*h**2*s - 18*h*s**2 - 21120*s Differentiate -493*o**3 - o**2 + 5*o - 84098 wrt o. -1479*o**2 - 2*o + 5 Find the second derivative of -2*a**3*f**2*p**2 - 4*a**3*f*p - a**3 - 4760*f**2*p**2 - 5*f*p + 781*p**2 wrt f. -4*a**3*p**2 - 9520*p**2 What is the derivative of 2*a*g*j*n**2 + 12639*a*g*j - 1720*a*g*n**2 - 2*a*g - 5*a*j*n - 7*a - 2*n**2 wrt j? 2*a*g*n**2 + 12639*a*g - 5*a*n Find the first derivative of 278682*t**2 + 235677 wrt t. 557364*t Find the first derivative of 364*d**3 + 24*d**2 - 22979 wrt d. 1092*d**2 + 48*d What is the third derivative of 28*s**6*w + 13325*s**4*w + 1010*s**2*w - 8*s*w - 2*s + 3*w wrt s? 3360*s**3*w + 319800*s*w Find the first derivative of -1987922*m - 2104794 wrt m. -1987922 Find the third derivative of -107440*x**3 + 57*x**2 - 111*x. -644640 What is the third derivative of 9*d*r**4*v - 3264*d*r**2*v + 8*r**4 + 35*r**3 + 3*r**2 + 2*r*v wrt r? 216*d*r*v + 192*r + 210 Differentiate -5950*k**3 - 56*k - 971491. -17850*k**2 - 56 Find the second derivative of 1047*t**5 - 3*t**3 - 4*t**2 - 35678*t wrt t. 20940*t**3 - 18*t - 8 Find the third derivative of f**5 - 30267*f**4 + 18*f**2 - 351*f + 1 wrt f. 60*f**2 - 726408*f Find the second derivative of 9*b**4 - 1423*b**3 + b**2 + 73938*b wrt b. 108*b**2 - 8538*b + 2 What is the second derivative of -4263*g**2*o - 10*g**2 + 15*g + 14*o + 80 wrt g? -8526*o - 20 Find the third derivative of -241532*c**4 + 196269*c**2 wrt c. -5796768*c What is the second derivative of 3128*h**2*r**5 + 2*h**2*r**3 - 23*h**2*r + 81*h**2 - 10*r wrt r? 62560*h**2*r**3 + 12*h**2*r What is the second derivative of 12140*c**3*n**2 - 3*c**3 - 4462*c*n**2 - 2*c wrt c? 72840*c*n**2 - 18*c What is the third derivative of -11821*o**5 - 13*o**3 + 101*o**2 + 522*o? -709260*o**2 - 78 What is the derivative of -2*d**3*l - 3*d**2*l - 34*d*l - d*x + 36*l - 2701*x wrt d? -6*d**2*l - 6*d*l - 34*l - x Differentiate -2*x**2*z**2 + 7751*x**2*z - x*z**2 - 156*z**2 + z - 12 wrt x. -4*x*z**2 + 15502*x*z - z**2 Find the third derivative of -72*d**6 + 27*d**4 - 6124*d**2. -8640*d**3 + 648*d Find the third derivative of -u**4*z**2 - 2372594*u**3*z**2 + 6*u**2*z**2 - 8*u**2 + 9074*z**2 wrt u. -24*u*z**2 - 14235564*z**2 Find the second derivative of -52*i**2*l**3*n + 52327*i**2*l*n**2 - i*l**3*n**2 - 4*i*l**3 - 383*n wrt n. 104654*i**2*l - 2*i*l**3 Differentiate 2548063*n + 4046840 wrt n. 2548063 What is the second derivative of -18853*f**3*s**2 + 2*f**2*s**2 - 9*f*s**2 + 161*f + 8*s**2 wrt f? -113118*f*s**2 + 4*s**2 What is the second derivative of 1120*w**5 + 6*w**3 + 5*w**2 - 54996*w wrt w? 22400*w**3 + 36*w + 10 Find the third derivative of -16243*b**3 - 256*b**2 - b. -97458 Find the second derivative of -1071675*t**4 - 950*t + 19. -12860100*t**2 What is the first derivative of -663605*y**2 + 1168200 wrt y? -1327210*y Differentiate -11*a**2*n - 6368*a*k*n - 2*a*n + 3*k*n + 67098*k wrt a. -22*a*n - 6368*k*n - 2*n What is the third derivative of -72*z**5 + 22*z**3 - z**2 + 19416*z + 1? -4320*z**2 + 132 What is the third derivative of 3*r**3*v**2 + r**3*v + 896*r**3 + 2*r**2*v + 3*r*v**2 + 339*v**2 wrt r? 18*v**2 + 6*v + 5376 What is the second derivative of -3*d*g**3 - 7*d*g + d - 9*g**3 + 33*g**2 + 26 wrt g? -18*d*g - 54*g + 66 What is the second derivative of -35902*s**2*v**2*x + 1537*s*v**2 + s*v - s*x wrt s? -71804*v**2*x What is the third derivative of 104*d**2*k**5 - 1177*d**2*k**4 + 35*d**2*k**2 - 4*d**2*k - 227*d**2 - d*k**2 wrt k? 6240*d**2*k**2 - 28248*d**2*k Find the first derivative of -134*j**3*r - 4*j**2*r + 23*j*r - 2*j - 78*r - 3740 wrt j. -402*j**2*r - 8*j*r + 23*r - 2 What is the derivative of i*p*q*t - 1183*i*p*t + 40*i*q + 2*i - 3*p*q - 6*p*t + 15*q wrt t? i*p*q - 1183*i*p - 6*p Find the third derivative of 57*g**3*r**3 + g**3*r + 9*g**2*r**2 + 152*g - 119*r**4 + r**2 wrt r. 342*g**3 - 2856*r Find the third derivative of 20193*t**5 + t**2 + 65251*t wrt t. 1211580*t**2 Find the third derivative of -33*i*p**4 + 2*i*p**3 + i*p**2 - 633*i*p - 232*p**4 + 14*p**2 + 7*p - 1 wrt p. -792*i*p + 12*i - 5568*p Find the first derivative of 319*b**3*k**3 + 28313*b**3 - b**2 + 122*b*k**3 wrt k. 957*b**3*k**2 + 366*b*k**2 What is the third derivative of 2004*k*p**3*y**3 + 868*k*p**3*y - k*p**2 + 425252*k*p*y**3 - p**2*y**3 wrt p? 12024*k*y**3 + 5208*k*y Find the first derivative of -1988*v**3 - 3*v**2 - 2*v - 84664 wrt v. -5964*v**2 - 6*v - 2 Find the first derivative of -262462*h + 359344. -262462 Find the second derivative of 376215*h*v**2 - 340*h*v + 6*v**2 - 463 wrt v. 752430*h + 12 What is the first derivative of -6458*k**4 - 66425 wrt k? -25832*k**3 Find the second derivative of 16491*i**4 + i**3*w + i**2 - 4*i*w + 2230*i wrt i. 197892*i**2 + 6*i*w + 2 Find the first derivative of -9*y**3 + y**2 + 32488*y + 2973243. -27*y**2 + 2*y + 32488 What is the third derivative of 246549*c**6*y + 3*c**6 - 134*c**2*y + 2*c**2 - 309*c*y wrt c? 29585880*c**3*y + 360*c**3 What is the third derivative of -432*c*f**3 - 54*c*f**2*w**3 - 1429*f**3*w**3 - f**2 + 566*f*w**3 + 2*f*w wrt f? -2592*c - 8574*w**3 What is the third derivative of 2*c**3*d**3 - 18984*c**3 - 8*c**2*d**2 - 5*c*d**2 + 8*d**3 wrt c? 12*d**3 - 113904 What is the derivative of -1022*k**3 + 118*k**2 - 592934 wrt k? -3066*k**2 + 236*k Differentiate -56518*p**4 - 37174 wrt p. -226072*p**3 Differentiate 29*b*w*z + 62059*b*w - 449*b*z - 2*w*z with respect to z. 29*b*w - 449*b - 2*w Differentiate -399839*d**2 - 72773 with respect to d. -799678*d What is the second derivative of -2062535*q**4 - q - 689351 wrt q? -24750420*q**2 Find the second derivative of -93189*l**2 + 125829*l wrt l. -186378 Find the second derivative of 1131677*l**3 - l**2 + 440233*l wrt l. 6790062*l - 2 Find the third derivative of j*v**4 + 2*j*v**3 + 6352988*j*v**2 + 180*v**4 + 3644*v**3 wrt v. 24*j*v + 12*j + 4320*v + 21864 Differentiate -144*m**3 + 40*m**2 - 10*m - 3590590 wrt m. -432*m**2 + 80*m - 10 What is the derivative of 44395*p**3 + 341214 wrt p? 133185*p**2 Differentiate -5*i**2*s + 16*i**2 + 16303*i*s*y + 3131*i*y wrt s. -5*i**2 + 16303*i*y Differentiate 11939*k**4 + k**3 - 334707. 47756*k**3 + 3*k**2 What is the derivative of -103*b**2 + 12395*b - 4465745? -206*b + 12395 What is the second derivative of 19*d*i**5 + 2823*d*i**2 - 170*d*i - 3*d - i**3 - 146*i - 2 wrt i? 380*d*i**3 + 5646*d - 6*i What is the first derivative of 2*d**2*o - 8*d**2 - 16*d*o + 11*o + 3376 wrt d? 4*d*o - 16*d - 16*o Find the third derivative of 2*u**4*x - 60*u**4 + 1394*u**3*x + u**3 - 531*u**2 - 10*u*x - 6*x - 3 wrt u. 48*u*x - 1440*u + 8364*x + 6 Differentiate -14*d**2*h - 7*d**2 - 111*d*h + 67378*h wrt d. -28*d*h - 14*d - 111*h Find the third derivative of d**2*q**3 - 3*d**2*q**2*s - 52*d**2*q*s**2 + 4*d**2 - 17199*d*q**3*s**2 + d*s**2 - 2*q*s - 3*s**2 wrt q. 6*d**2 - 103194*d*s**2 Find the third derivative of 2*f**3*n**4 + 18275*f**3*n**2 - 7981*f*n**6 + 3*n**2 wrt n. 48*f**3*n - 957720*f*n**3 Differentiate -7*i**2*j - i**2 - 347*i*j + 55703 with respect to j. -7*i**2 - 347*i What is the second derivative of -45405*z**2 + 11*z - 1115? -90810 Find the third der
{ "pile_set_name": "DM Mathematics" }
5 - -1) 4 What is -4 - -2 - (4 - 21 - -10 - 7)? 12 Calculate 9 - 2 - 1 - (16 + 10 + -8). -12 Calculate -165 + 157 - (1 - (1 - 0)). -8 What is (0 - (19 + -8)) + 2 - 6? -15 Evaluate -3 - (11 - (3 + 9 + -3)). -5 What is the value of -10 - (0 - 4) - -20 - (1 + 3)? 10 (18 - 38) + 8 + 5 -7 Calculate (2 - 3) + -9 + (18 - 1). 7 What is -7 - (-1 + 7 - (0 + 2 - -1))? -10 Calculate 10 + -30 + 22 - -19. 21 What is the value of -2 + (2 - -14 - (-2 + 8))? 8 What is -9 + 10 + (-30 + 25 - 4)? -8 What is 5 - 2 - (-1 + 19 + (99 - 90))? -24 What is -8 - (-28 + -7 + 8 + -5)? 24 What is (-7 - -2) + -85 + 80? -10 Calculate (23 + (0 - -5) - 11) + -2 + 0. 15 What is the value of -2 + 2 + 14 + -13? 1 What is 0 + -1 + 0 - (42 + -32)? -11 (12 - 0) + 1 + (-20 - 3) -10 What is -9 + -4 + 2 + -71 + 66? -16 What is the value of -6 + (18 - 0 - (30 - 23)) + -1? 4 -2 + (8 - (0 - (-5 - (-8 - -7)))) 2 1169 - 1186 - (-3 - 1) -13 What is the value of 28 + (14 - 22) - (-2 - -7)? 15 What is the value of 2 + (-3 - 0) + 18 + (8 - 11)? 14 Evaluate (-7 + 4 - 8) + (-5 - (4 - 52)). 32 What is the value of 1 + (0 - 9 - -1 - -4)? -3 What is the value of 7 - ((34 - 8) + -6) - -6 - -3? -4 What is 2 - 8 - (7 + 3 + -28)? 12 What is (-10 - 7 - -5) + 15? 3 What is the value of (-25 - (9 - 21)) + -3? -16 (-15 - -20 - 16) + 24 13 What is (0 + -6 - -5) + -7 - -14? 6 What is the value of 24 - (-23 - (27 + -79))? -5 What is -16 + 38 - (7 + 19)? -4 -12 + (-1 - (11 + -13 + 3)) -14 What is -5 - (12 - 9) - -24 - (1 + 5)? 10 -7 - (-2 - -2) - (0 - 10) 3 2 + 33 + -6 + 17 + -19 27 What is -27 - (-26 - 29) - 53? -25 -1 + 1 - (0 + 3 - (-6 + 14)) 5 Evaluate 0 + -1 + -22 + (8 - -31). 16 What is (31 - 24) + (23 - -1) + (-2 - -2)? 31 Calculate 3 - (8 - (-6 - 1 - (-16 + 6))). -2 8 + (8 - (4 + 2)) - -9 19 What is -8 + (-8 - -31) + -11? 4 Calculate 9 - (36 + -11 - 37). 21 Calculate (-224 - -219) + (-4 - -1). -8 What is -7 - ((-1 - 20) + 10)? 4 Evaluate -12 - -16 - (-4 - -19). -11 Evaluate (9 - 24) + (0 - -13). -2 What is the value of (-2 - -11) + -5 - (0 + -1)? 5 6 - 0 - (-18 - -18) 6 Evaluate -56 - -79 - (43 - -6). -26 Calculate 18 + 0 + -7 - 12. -1 Calculate (15 + -1 - 35) + -6. -27 What is the value of (-67 - -91) + -1 + -12 + -4? 7 What is -7 + -8 + 12 + 12 + -6? 3 What is -5 - (-27 + (6 - 7) + 1 + 7)? 15 Evaluate -4 + -4 + (11 - 6) + 6 - 14. -11 0 + 2 + 0 - (-1 - -13 - 9) -1 Calculate (-1 - 35) + (51 - (33 + 15)). -33 Evaluate -6 - 7 - 3 - 1. -17 Calculate -12 + (17 - -2) + 8 + -9. 6 Evaluate -5 - (-9 + 4) - (0 + 8). -8 What is the value of 13 + 0 - (3 + -7 + 0 + -1)? 18 Evaluate (3 - 3) + 0 - (53 - 64). 11 What is the value of 12 + 24 - 12 - 2? 22 What is -23 + 20 + -7 - -7? -3 Calculate -7 + 5 + -1 + (6 + 0 - 14). -11 What is (-3 - 2) + 1 - (-2 - -3 - -4)? -9 What is 1 + 1 + -25 + -19 + 19 + 32? 9 Calculate (-3 - (9 - (4 - 7))) + 6. -9 Calculate (-12 - (18 - -5)) + 42. 7 What is -2513 + 2514 + (-27 - (1 + 2 + -2))? -27 Evaluate 11 - (8 - (-13 + 22)). 12 What is 10 + (11 - (32 - 18)) + 15? 22 Evaluate 1 + 0 - -3 - ((-26 - -59) + -39). 10 What is -85 + (89 - -20) + -6 + 0? 18 What is the value of -31 + 24 + (0 - 0) + 1 - -3? -3 What is the value of -6 + 0 + -28 - (-64 - -54)? -24 1 + 4 + (4 - 52 - -19) - 5 -29 What is (-6 + 16 - 11) + (1 - 7)? -7 Calculate -1 + -29 + (36 - 29) + 1. -22 What is (94 - 89) + -3 + 5 + 6? 13 -18 + -5 + 2 + 7 + (2 - 0) -12 15 - (-19 - -54 - -2) -22 15 - (2 - (-6 - (-2 - 9))) 18 Calculate 23 + -26 + (3 + -1 - (6 + -6)). -1 What is the value of 6 + (3 - 2 - 2) + (-8 - -3)? 0 Evaluate -5 + (-5 + 9 - 4). -5 Evaluate -17 - 2 - (-86 + 78). -11 What is the value of -1 + -1 + 7 - (1 + 4 + 8)? -8 14 + -18 + 13 - (0 + (5 - 1)) 5 What is the value of 2 + -19 + -218 + 214? -21 Evaluate -6 + 2 + -4 - -16. 8 What is the value of 34 + (-47 - -16) + 28? 31 What is the value of (2 - 1) + (-64 - -66)? 3 Evaluate (-2 + 5 + 1 + -13 - -10) + -14. -13 Evaluate -43 - (-8 - (52 + -15)). 2 Evaluate (17 - (-8 - -10)) + -6 + -1 + 11. 19 (1 - -6 - 1) + -5 + 2 3 Evaluate 8 - 1 - (5 - -6 - 3). -1 5 + (-18 - (-10 - (1 + -9))) + -3 -14 -9 - (-24 - (8 - 29)) -6 What is the value of -7 + (-6 - 1 - (-19 - 15 - -18))? 2 What is the value of -76 - -103 - (-1 + 4) - (3 - 5)? 26 What is the value of -3 + 14 + -1 - (-59 - -60)? 9 Evaluate -6 + (7 - ((-3 - -8) + -7)) + -7. -4 Calculate 7 + -8 + (-2 - -30) + -8 + -6. 13 15 + (-15 - 2) + (6 - 10 - 17) -23 What is the value of 11 - (2 - (-23 - -20))? 6 Evaluate (7 + -3 - (-25 + 31)) + (14 - 1). 11 Evaluate (-13 - (-3 - 27)) + -18. -1 Evaluate 1 + 15 + (99 - 41) + -77. -3 Calculate -8 - (4 - 5 - 7). 0 What is the value of (13 + -1 - 12) + 19? 19 What is the value of 7 - (14 + -2 + (3 - -4))? -12 What is -71 + (-19 - -63) - (-2 - 1)? -24 Calculate -19 + (-16 - -16) + 5 + (2 - 0). -12 What is 13 + (44 + -6 - 26)? 25 Evaluate (0 - (0 + -4)) + (3 - (-2 + 2)). 7 Calculate -1 - (0 + -22 + 12). 9 Evaluate (-6 - (0 - (-17 - (1 + -9)))) + 10. -5 Evaluate -16 + (-2 + (-2 - -4) - (40 - 43)). -13 Calculate 6 - -6 - 26 - (1 - 4) - 2. -13 Calculate (-2 - (1 - 8)) + -15. -10 Calculate -10 - (-2 + 7 + -20 + 5). 0 What is the value of 12 + -28 - -23 - (3 - 1)? 5 What is -7 + (17 - 5) + 60 + -41? 24 -2 + 50 + (-93 - -62) 17 Evaluate (6 - (39 + -22)) + (-10 - 1). -22 Evaluate -12 - ((0 - -12) + (11 - -5 - 27)). -13 -28 + (-1 - (0 - 6) - -7) + 2 -14 10 - (-20 + 40) - (-1 + 0) - -29 20 What is the value of 1 - (-6 - (6 + -10 - -5))? 8 (-19 - (-17 - -18)) + -1 -21 Evaluate -35 - (-34 + -15) - -17. 31 What is the value of 8 + (11 - (21 - (-8 + 10)))? 0 What is the value of (1 + 4 - (-1 - 0)) + -29 + 21? -2 -5 + -9 - -7 - (-4 - (-2 - 10)) -15 What is the value of (42 - 58) + (4 - 6) + -11? -29 Calculate (27 - 8 - 24) + -9 + 4 + -2. -12 Calculate -17 + (-17 - -7 - -22). -5 Calculate 1 - 2 - (18 + 11 + -22). -8 What is the value of 7 + (-15 - -28) - 15? 5 Evaluate -21 + 35 + 15 + -29. 0 What is the value of -31 - -34 - (4 - 4)? 3 Calculate 6 - (0 + (-2 - -2)) - -1. 7 Calculate 216 - 211 - (-1 + -1). 7 Calculate (-51 - -23) + 18 - 20. -30 Evaluate 134 + -162 + -1 + 47. 18 What is the value of (2 - (4 - 6)) + (-5 - 1) + 7? 5 Calculate -9 + 5 + 9 + -3 + 0. 2 What is 0 + -7 - (-99 - -100)? -8 What is 61 - 68 - (1 - -20)? -28 What is the value of (-31 - -47 - 28) + 0? -12 Calculate (6 - (-8 + 15) - 7) + 0. -8 Evaluate 2 + (11 + -8 + -6 - -8). 7 Evaluate 3 - -5 - ((10 - 6 - 33) + 8). 29 What is 693 + -684 + (-10 + 0 - -1)? 0 What is -15 + (13 - -5 - -14)? 17 What is the value of -6 - (5 - (9 + -4 - 10))? -16 Evaluate -6 + -1 - (19 + -11). -15 -8 - ((55 - (13 - -19)) + (0 - 1)) -30 What is (-14 - -55 - 20) + 2 + -7? 16 16 + -19 + -16 - (-1 + (2 - -5)) -25 What is -4 + (20 - (0 - -7))? 9 What is the value of 4 + 11 + -6 + 2 + -3 - -3? 11 Calculate 31 + -14 + -38 + -1 - -9. -13 -7 + (2 - (-8 + 2)) - (3 - 8) 6 Calculate -19 + -43 + 16 + 55. 9 What is the value of (22 + 3 - 13) + -2 - -14? 24 Evaluate 4 + 0 + 7 + 1 + (-2 - 12). -2 What is 0 + (0 - 3 - 3 - (15 - 35))? 14 Evaluate 14 - 19 - (3 - (-1 + 7)). -2 What is the value of (4 - -1 - (1 - 0)) + 482 + -486? 0 Calculate (55 - 56 - (-3 - 2)) + -30 - -2. -24 Evaluate (-20 - -11) + (4 - -1) + -7 + 5. -6 Evaluate 7 - (2 + -4 - (10 + -3 + 10)). 26 What is -169 + 196 - (28 - -2)? -3 What is -125 + 128 - (4 + 19)? -20 Evaluate -5 - -2 - (88 + -92) - 28. -27 What is the value of -3 + -13 + (-5 + 12 - 4)? -13 Calculate 0 + 4 + -11 - (-17 + 19). -9 -9 + 0 + 42 + -33 0 Evaluate (1 - (-17 + 44)) + (9 - -2). -15 What is the value of 9 - 15 - -5 - -13? 12 Calculate 1 + 5 + (-19 - (-67 + 34)). 20 Evaluate 3 + -9 + 4 + (-14 - -30 - 15). -1 Calculate (-1 - -3) + -7 + (1 - (-1 + 7)). -10 What is -15 + (8 - 2) - 1? -10 Evaluate -14 + (3 - (-2 - 14)) + -30. -25 Evaluate (-35 - -18) + 1 - -3. -13 Calculate 11 + -5 - (-40 - -27). 19 Calculate -17 + 1 - (-11 + (9 - 3) - 2). -9 What is the value of 11 - (21 + -14 + 6)? -2 Calculate -10 + (-32 - -25) + 10 + 0 + 33. 26 Calculate 64 + (-30 - 32) - (0 + -10 + -1). 13 7 + (7 + 2 + -7 - 2) 7 What is -3 - (-13 + -2) - (3 - -6)? 3 Evaluate -3 + (1 - (3 - 7)) + (-1 - -2). 3 Evaluate -32 + 25 + -3 - (-2 - (1 - 2)). -9 What is 1 + -49 + (1 - -2) + 12? -33 Evaluate 12 + -1 - (-43 - (-10 - 24)). 20 -7 - (3 - (7 - (-7 - -6)) - 4) 2 What is the val
{ "pile_set_name": "DM Mathematics" }
x? 16 Let b(v) = v**2 - 11*v + 14. Let l(i) = i**2 - 8*i - 10. Let y be l(10). What is the remainder when 10 is divided by b(y)? 2 What is the remainder when 49 is divided by 3/(-18) - 255/(-18)? 7 Suppose -5*l - 6 = -2*l. What is the remainder when (l + -31)*(-1)/3 is divided by 3? 2 What is the remainder when 13 is divided by (-1)/((2/(-3))/(28/6))? 6 Let y be 3 - (1 - 0/(-2)). Suppose 5*w = -y + 12. What is the remainder when 5 is divided by w? 1 Suppose 3*v + 46 = 5*v. Calculate the remainder when (-1)/((-1)/26*(-20)/(-70)) is divided by v. 22 Suppose -5*y + 241 = 4*f, 5*f = -4*y + 3*y + 65. Calculate the remainder when y is divided by 16. 13 Suppose -3*l + 2*l = -4. Calculate the remainder when 7 is divided by l. 3 Suppose -4*y = -5*g - 28, -13 + 5 = -2*y + 4*g. Suppose 0 = -4*h - 4*p + 68, -13 = -0*h - h - 2*p. Calculate the remainder when h is divided by y. 9 Let z(d) = d + 1. Let g be z(7). Let u = g + -6. What is the remainder when 6 is divided by u? 0 Suppose -2*v + g = -4*v - 42, 3*v - 2*g + 77 = 0. Let w = 32 + v. Calculate the remainder when w is divided by (-2)/(1/((-3)/2)). 0 Let j(v) = 3*v**2 + 6*v - 5. Calculate the remainder when j(4) is divided by 4/6*(-204)/(-8). 16 Suppose -2*n + 4*d = 2*n - 132, 0 = -5*n - 3*d + 173. Suppose -30 = -2*c - 3*g, 2*c - 20 = g + g. What is the remainder when n is divided by c? 10 Let l(z) = 15*z + 1. Let t(r) = 3*r**2 - 7*r + 7. Let k = 13 - 8. What is the remainder when t(k) is divided by l(1)? 15 Let t be (-3 - 2/(-4))*-2. Suppose -t*v + 367 + 38 = 0. Calculate the remainder when v is divided by 21. 18 Let i = -26 + 35. Calculate the remainder when 24 is divided by i. 6 Suppose -5*s + 120 = -s. What is the remainder when s is divided by 19? 11 Let p(d) be the third derivative of 0*d - 1/60*d**5 + 0 + 1/6*d**3 - 1/4*d**4 - 2*d**2. Calculate the remainder when p(-3) is divided by 4. 2 Let x be (-5)/20*(-16)/1. Suppose m = -3*v - 11, -v + 1 = x*m + 2*v. Calculate the remainder when 23 is divided by m. 3 Let h = -7 + 26. What is the remainder when h is divided by 7? 5 Let u(c) = 3*c**2 - c + 2. Suppose -14 = 3*j + 4*i + 11, 0 = -j - i - 7. What is the remainder when u(j) is divided by 11? 10 Let c(m) = -1. Let r(i) = 9*i - 6. Let y(l) = 4*c(l) - r(l). What is the remainder when y(-4) is divided by 13? 12 Suppose 3*m = -2*m + 95. Calculate the remainder when 55 is divided by m. 17 Suppose n = 4 - 2. Suppose n*s - 4*t + 387 = 5*s, -s + 121 = 4*t. Let k = s - 75. What is the remainder when k is divided by 15? 13 Suppose o - 2*o - 2*x = -42, -16 = 4*x. What is the remainder when o is divided by 19? 12 Let v be 7/2*(-4)/(-7). Suppose -l = -v*h - 4, -9 - 20 = -l - 3*h. Calculate the remainder when 26 is divided by l. 12 Suppose -84*t + 21 = -81*t. What is the remainder when 40 is divided by t? 5 Suppose 0 = -8*a - 0*a + 328. Calculate the remainder when 202 is divided by a. 38 Let l(r) = -2*r - 2. Let j be l(-3). Suppose j*w = y + 22, -5 - 15 = -3*w - y. Calculate the remainder when 11 is divided by w. 5 Suppose -3*n - 9 = x, 3*n + 2 = x - 13. Suppose -x*a = 2*a - 65. Let i = 703 + -696. What is the remainder when a is divided by i? 6 Let b(a) = -a**2 + 7*a - 10. Calculate the remainder when 3 is divided by b(4). 1 Suppose 0 = 5*y + 10, 2*p = 4*p - 2*y - 18. Let w = 9 - p. Suppose -w*a = 5 - 47. What is the remainder when 41 is divided by a? 20 Suppose 5*d - 6 = 4. Let i = 9 - d. What is the remainder when 2/(-5) + (-194)/(-10) is divided by i? 5 Let w(c) = c**2 + 9*c + 11. Let z be w(-9). What is the remainder when (z/(-4))/((-2)/16) is divided by 4*2/(1/1)? 6 Let x = -11 + 9. Calculate the remainder when (35/2 + x)*2 is divided by 11. 9 Let d(k) = 8*k**3 + 2*k - 1. Let l be (-6)/9*6/(-4). What is the remainder when 26 is divided by d(l)? 8 Let w(s) = -s**3 - 5*s**2 - s - 3. Let n be w(-5). Let k be (-9)/6*72/n. Calculate the remainder when 15 is divided by ((-2)/(-6))/((-2)/k). 6 Suppose -425 = -5*v + 3*p + 2*p, -5 = 5*p. What is the remainder when 2880/v - 2/7 is divided by 9? 7 Suppose 0 = 2*x - 5*x + 36. Let r = 4 + x. Let b(u) = u**2 + 4*u + 6. What is the remainder when r is divided by b(-4)? 4 Suppose 4*m = 4*n - 44 - 84, 2*n = 3*m + 65. Calculate the remainder when n is divided by 17. 14 Let m = 292 + -269. Let u be ((-7)/3 - -1)*-3. Suppose -2*j - 3 = -g + 5, 46 = u*g - j. Calculate the remainder when m is divided by g. 11 Let a = 20 + 3. What is the remainder when 91 is divided by a? 22 Let f = -4 - -2. Let m be (-7)/(-2) + f/4. Suppose 5*s - 95 = -5*v, -s = -v + m*s + 39. What is the remainder when v is divided by 12? 11 What is the remainder when 72 is divided by 4/(-2)*19/(-2)? 15 Let a = -4 + 7. Let t(c) = c**2 + 2*c. Let d be t(-4). Suppose -d = -3*m + m. What is the remainder when m is divided by a? 1 Let k be ((-1)/(-1) - 88)*-1. Suppose 5*q = 3*z - 86, z - 22 = -0*z + 5*q. Calculate the remainder when z is divided by (-4)/10 - k/(-5). 15 Suppose 9 + 13 = 2*j. What is the remainder when 43 is divided by j? 10 Let t(d) = 3*d**2 - 2*d + 7. What is the remainder when t(-6) is divided by 32? 31 Suppose -3*p + 0*p - 126 = 0. Let r(y) = -y**3 - 2*y**2 + 6*y + 3. Calculate the remainder when (-2 - 0)/(4/p) is divided by r(-4). 10 Let o(s) = s**2 + 4*s + 4. Let q = 30 + -23. What is the remainder when q is divided by o(-4)? 3 Suppose -2*q - 4*j + 3*j = -5, -2*q - 5*j = 15. Let u(v) = 2*v + 3. Let t be u(3). Let l = t + -1. What is the remainder when l is divided by q? 3 Suppose 5*l = -3*t + 67, -5*t + l = -0*l - 65. Calculate the remainder when (-522)/(-13) - 12/78 is divided by t. 12 Let n = -2 - -5. Let w(r) = -n*r**2 + 4*r**2 - 1 + r - 2*r. Calculate the remainder when w(-5) is divided by 10. 9 What is the remainder when (1 + 14/4)/((-24)/(-432)) is divided by 28? 25 Let n(u) = 0*u - 10*u + 8*u. Suppose 3*t = 7*t - 8. Calculate the remainder when t is divided by n(-1). 0 Suppose 5*a = -4*h + 37 + 5, 48 = 4*a - 4*h. Suppose -x - x = a. What is the remainder when 3/(-15) + (-11)/x is divided by 1? 0 Let b(k) = -k**2 - 16*k + 9. What is the remainder when b(-10) is divided by 14? 13 What is the remainder when 46 is divided by (2 - -1)*(-2 + (-44)/(-6))? 14 Let i(b) = 2*b**2 - 13*b + 2. Calculate the remainder when i(10) is divided by 15. 12 Suppose 3*m - 16 = m. Suppose -6*j - 74 = -m*j. Calculate the remainder when j is divided by 20. 17 Let x = -35 - -40. What is the remainder when 6 is divided by x? 1 Let b(j) = 2*j + 18. Calculate the remainder when 87 is divided by b(0). 15 Let q(b) = 5*b**3 + 2*b**2 - 1. Let i be q(-1). Suppose 0*a + a - 10 = 0. Calculate the remainder when (-10)/i*12/a is divided by 2. 1 Let b(l) = l**3 - 3*l + 3. Let w be b(2). Suppose 71 = 3*j + w*u, 6*u = 3*j + 3*u - 87. Suppose -2*c = -6*c + 56. What is the remainder when j is divided by c? 13 Calculate the remainder when 2/(-3) + (-1245)/(-45) is divided by 14. 13 Let o = 19 + -11. Calculate the remainder when 22 is divided by o. 6 Let t(b) be the first derivative of -2*b**2 - 6*b - 2. Let w be t(-4). Let s = -2 + w. Calculate the remainder when 14 is divided by s. 6 Let q = -12 + 12. Suppose -5*j + 20 + q = 0. Calculate the remainder when 9 is divided by j. 1 Let q = 130 + -56. Suppose 0 = -5*h + q + 1. Let x(v) = -10*v - 7. Calculate the remainder when x(-5) is divided by h. 13 Suppose -11 = 4*b + 41. Let d = -8 - b. Suppose -1 = 2*s - d. What is the remainder when s is divided by 1? 0 Let p(v) = -14*v**3 - 2*v**2 - 2*v - 1. Let t = -5 - -4. What is the remainder when p(t) is divided by 8? 5 Let g(z) = 21*z - 9. Let d(i) = -10*i + 4. Let u(b) = 5*d(b) + 3*g(b). Suppose -7 = -4*k + 13. Calculate the remainder when u(k) is divided by 20. 18 Suppose -13 = -4*i - 45. Let a(w) = -3*w - 4. What is the remainder when a(i) is divided by 11? 9 Let i = -61 + 87. Suppose 4*z - 4*h = 16, -z + 4*h = 2*h - 4. Suppose g = -z*b - 2, -b + 4 = -g + 22. What is the remainder when i is divided by g? 12 Let x(o) = -o**2 - 6*o + 6. Let k be x(-7). Calculate the remainder when 303/15 + k/5 is divided by 7. 6 Let u(w) = -w**3 + 4*w**2 - 4*w + 3. Let z be u(3). Suppose z*d = 2*d - 52. Suppose 2*n - 36 = -2*n. What is the remainder when d is divided by n? 8 Let y = -48 - -61. Calculate the remainder when 44 is divided by y. 5 Let
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 14 is divided by p? 4 Let z = 67 + -14. Let l(s) = s**3 - 4*s - 1. Calculate the remainder when z is divided by l(3). 11 Suppose -2 = -2*m + 2*i - 0*i, 5*i = -5*m + 5. What is the remainder when 1 is divided by m? 0 Suppose 18 = -y + 4*y. What is the remainder when y is divided by (2/(-2)*3)/((-9)/12)? 2 Let a(k) = -3*k - 4. Suppose 0 = -5*b + 50 + 70. Suppose b = -4*n + 68. Calculate the remainder when a(-8) is divided by n. 9 Let x = -14 - -22. Suppose -2*h + 40 = -x. What is the remainder when 71 is divided by h? 23 Suppose 0 = -5*n + 39 + 6. Calculate the remainder when 24 is divided by n. 6 Suppose 0 = -24*h + 1374 + 1506. What is the remainder when h is divided by 41? 38 Suppose 0*f + 2*f = 12. What is the remainder when 14 is divided by f? 2 Suppose -3*x + q = -0*q + 20, -3*x - 18 = -3*q. Calculate the remainder when 32 is divided by 11*1*(8 + x). 10 Let w = -48 - -67. Suppose y - 10 = -n - 3*y, -5*n - 5*y + 20 = 0. Suppose z + r + 11 = n*z, -3*z - 5*r + 25 = 0. What is the remainder when w is divided by z? 9 Let i(k) = -k**3 - 4*k**2 + 9*k + 7. What is the remainder when i(-6) is divided by 9? 7 Let y = 59 + -47. Calculate the remainder when 46 is divided by y. 10 Let q = 109 + -75. Suppose -3*o + q = -o. Suppose 5 = v - y - 30, 5*y = -3*v + 81. What is the remainder when v is divided by o? 15 Let h(n) = -n**2 - 17*n + 3. Calculate the remainder when 6 is divided by h(-17). 0 Let i(s) = s**3 - 9*s**2 + s - 5. Let b be i(9). Suppose -3*p = -7*p - b, 4*z - p = 289. Suppose o - z = -3*o. What is the remainder when 53 is divided by o? 17 Suppose -4*n + 23 = -5*t - 21, -4*n - 3*t + 44 = 0. Calculate the remainder when n is divided by (30/5)/3 - -2. 3 Let v = -53 - -90. Calculate the remainder when 69 is divided by v. 32 Suppose 307 = 23*h - 38. Calculate the remainder when 22 is divided by h. 7 Let g = 84 - 159. Let h = g - -125. Calculate the remainder when h is divided by 17. 16 Suppose -4*s + 4*i + 40 = 0, 4*s + 2*i = i + 45. Let o be (0/(-2))/(-1 + 3). Suppose 0 = u - o*u - 31. What is the remainder when u is divided by s? 9 Suppose -3*w + 67 = 2*w - 3*m, 0 = 4*w - 3*m - 56. What is the remainder when 17 is divided by w? 6 Calculate the remainder when (-5)/45 + (-982)/(-9) is divided by 37. 35 Let h(y) = y**3 + 6*y**2 + 6*y. Calculate the remainder when 29 is divided by h(-3). 2 Suppose 2*d + 44 = 2*i, -2*i = -4*i - 3*d + 19. What is the remainder when (-6)/(2/((-96)/9)) is divided by i? 15 Let t be 126/2 - (-6)/2. Suppose 2*j - t = j. Let z = -30 + j. What is the remainder when z is divided by 19? 17 Let z(a) = -a**2 + 6*a - 1. Calculate the remainder when 10 is divided by z(5). 2 Let b = -15 - -7. Let i(t) = -2*t - 11. Calculate the remainder when 8 is divided by i(b). 3 Let j = -3 + 6. Calculate the remainder when 18 is divided by (j - -9) + -1*2. 8 Suppose 0 = -0*v + 3*v - 9. What is the remainder when 9 is divided by v? 0 Let a be -1 + 2 + (1 - 2). Suppose -3*y + 5*x - 141 = -56, 3*x - 15 = a. Calculate the remainder when (-24)/y*5/1 is divided by 4. 2 Let b = -6 + 9. Let d = 2 + b. Calculate the remainder when 22 is divided by d. 2 Let w(f) = f**3 - 6*f**2 + 6*f - 9. Let b = 15 + -9. What is the remainder when w(b) is divided by 14? 13 Let r(i) = 10*i + 6. What is the remainder when r(2) is divided by 14? 12 Let k(y) = -4*y - 4. Calculate the remainder when k(-8) is divided by 6. 4 Let v = 12 - 9. Let u be 4/(0 - 2/(-4)). Suppose 0*y + u = y. What is the remainder when y is divided by v? 2 Let f = -16 - -21. Suppose -f*s + 104 - 9 = 0. Calculate the remainder when 55 is divided by s. 17 Suppose -5*z = -104 + 14. Let n(g) = -g**2 - 5*g - 3. Let q be n(-4). What is the remainder when z is divided by q*13 + (3 - 6)? 8 Suppose 0 = 7*k - 2*k - 145. Let d = 103 - k. Calculate the remainder when d is divided by 19. 17 Let t(h) = -h**2 + 9*h. Let y be t(9). What is the remainder when (0 + y + -9)*-2 is divided by 7? 4 Let c(s) = -s**3 + 5*s**2 + 3*s - 3. Let p = 27 + -18. What is the remainder when c(4) is divided by p? 7 Let t = 24 - 3. What is the remainder when t is divided by (-8)/6 + 392/42? 5 Let c(l) = l**2 - 12*l + 10. Let z be c(11). Let f = -1 - z. Suppose p - b - 2 - 1 = f, 3*b = -4*p + 47. What is the remainder when p is divided by 5? 3 Let k(d) = -4 - 3 + 3 - 8*d. Let a(m) = m + 2. Let j be a(-5). Calculate the remainder when k(j) is divided by 7. 6 Let w(f) = f**3 - 9*f**2 - 31*f + 34. What is the remainder when w(12) is divided by 14? 10 Let y = 9 + 1. Let t be y*10/12*3. What is the remainder when (t/20)/((-2)/(-8)) is divided by 2? 1 Suppose 9 = 4*q - 11. Let f(k) = -k**3 + 5*k**2 + 5*k - 4. Let y be f(q). Let j = y - 12. Calculate the remainder when 25 is divided by j. 7 Let z = -2 + 5. Suppose 2*o + z*o = 0. Suppose o*s = 2*s - 74. Calculate the remainder when s is divided by 13. 11 Let j = 3 - 3. Suppose -5*q - p + 5 = j, 31 = 3*q - 10*p + 5*p. Suppose 0 = -3*s + 19 + q. What is the remainder when 20 is divided by s? 6 Let p be 1*-1 - (-3 + 2). Suppose p = y + y - 18. Let g = y - 0. Calculate the remainder when 17 is divided by g. 8 Let m(g) = 3*g**2 + 3*g + 6. What is the remainder when m(4) is divided by 17? 15 Let h(d) = -10*d + 1. Let o = -10 + 9. Calculate the remainder when h(-4) is divided by o*(5 + -2 - 17). 13 Suppose 0 = -3*b + 26 + 49. Let j = 5 - -2. Calculate the remainder when b is divided by j. 4 Let a(u) = 2*u + 2. Suppose 0*s - 3*f = 2*s - 11, -5*s + 2*f = -18. Calculate the remainder when 28 is divided by a(s). 8 Suppose -20 = 5*w, -4*k - 5*w + 0*w = -188. Let y = -11 + 16. Suppose -3*f = 2*z + 17 - 62, y*z - 78 = 4*f. What is the remainder when k is divided by z? 16 Calculate the remainder when (-3 + 2)/(5/(-180)*2) is divided by 4. 2 Let k(n) = 4*n + 4. Let r be k(-4). Calculate the remainder when 9/r + (-357)/(-12) is divided by 15. 14 Suppose -11*d - 81 = -12*d. What is the remainder when d is divided by 28? 25 Let l be 3 - (-15)/(-3) - 3. Let v = 14 + l. Calculate the remainder when 15 is divided by v. 6 Suppose 3*a = i - 6, 5*a - 3*i + 4*i + 10 = 0. Let r = a + 4. Calculate the remainder when r is divided by 1. 0 Let v(h) = -2*h + 1. Let b(i) = -14*i - 8. Let j(t) = -7*t - 4. Let r(c) = 6*b(c) - 11*j(c). What is the remainder when r(-4) is divided by v(-6)? 11 What is the remainder when 2 - -3*146/3 is divided by 19? 15 Let k = -44 + -70. Let z(r) = 7*r**2 - 3*r + 1. Let u be z(5). Let t = k + u. What is the remainder when t is divided by 16? 15 Let g(t) = 3*t**2 + t - 1. Let r = 135 + -111. Calculate the remainder when r is divided by g(2). 11 Suppose 3*i - 2 = 13. Suppose 5*a - 35 = -l + 7, 3*l + i*a = 126. Calculate the remainder when l is divided by 22. 20 Let y(t) = -6*t - 3. Calculate the remainder when y(-9) is divided by 9. 6 Let n = 37 - 29. What is the remainder when 15 is divided by n? 7 Let y = -17 - -23. Calculate the remainder when 21 is divided by y. 3 Suppose -2*h + 10 = -p - 1, 5*h - 30 = 2*p. Let l = -17 + 38. Calculate the remainder when l is divided by h. 5 Suppose 0 = 2*f - 4*w - 4, 4*f = 2*w + w + 8. Suppose -f*n = 5*o - 400, 0 = 3*o - n + 4*n - 240. Calculate the remainder when o is divided by 27. 26 Let t(k) be the third derivative of k**4/6 - 5*k**3/6 + 4*k**2. Calculate the remainder when t(5) is divided by 8. 7 Suppose r - 2 = -0. Let a be (-15)/6*(-12 - r). Let p = a - 2. What is the remainder when p is divided by 17? 16 Suppose 14*q = 19*q - 110. Calculate the remainder when q is divided by 7. 1 Let y = -40 - -5. Let w = y - -58. Let g(h) = 3*h - 9. Calculate the remainder when w is divided by g(7). 11 Let l = 3 + 0. Let z = 4 + l. Let u = 10 - -2. Calculate the remainder when u is divided by z. 5 Suppose -3*r + 5*p - 13 + 36 = 0, 5*r - 90 = -2*p. Suppose 5*u = 7*l - 2*l + 65, -5*u = -2*l - 56. Calculate the remainder when r is divided by u. 6 Suppose -4*a = -3*n + 11, -n - 3 = -3*a - 0. Calculate the remainder when 15 is divided by n. 6 Suppose 4*m = 19 - 3. What is the remainder when m is divided by 3? 1 Suppose -4*m + 55 = -4*o + 11, 3*m = 4*o + 33. What is the remainder when 32 is divided by m? 10 Suppose -3*f - 177 = -6*f. Let w be f*3/3 - -1. Let u = w + -16. What is the remainder when u is divided by 15? 14 Suppose -6 = -3*k + 4
{ "pile_set_name": "DM Mathematics" }
value in -5, -13/109, 0.3, -3, 5, 3, 2? 2 What is the smallest value in 0.1099, 0.055, -47? -47 What is the fourth smallest value in 5, 0.3, -1/2, 3, 328, 13, 11? 5 What is the fourth biggest value in -2/9, 0.9, -176, -6/29, 3/8, 2, -0.4? -6/29 Which is the biggest value? (a) -1/7 (b) 0 (c) 2/9 (d) -0.74 (e) 5 e Which is the fourth biggest value? (a) -3 (b) -0.5 (c) -13 (d) -0.178 (e) 6/5 (f) -8 (g) 4 b Which is the third biggest value? (a) 0 (b) -0.4 (c) 5 (d) -0.1445 (e) 7 (f) -3 (g) 4/7 g Which is the fourth biggest value? (a) -3 (b) -4 (c) 166 (d) -3/5 (e) 1 (f) -2/11 (g) -3/649 f What is the smallest value in -2/21, 1/5, 4, -0.5, 207, -2845? -2845 What is the second biggest value in 1, 1/6, -2/5, 1/5, -30593.5? 1/5 Which is the smallest value? (a) 0 (b) 3 (c) 285283 (d) -0.5 d What is the biggest value in -0.1, 301, -9085? 301 What is the smallest value in -5, -4/7, -2, -0.3, 3, 112665? -5 What is the second biggest value in 0, -2/5, -60, 5054/9? 0 What is the third smallest value in -2/9, 0, 6/5448281? 6/5448281 Which is the second smallest value? (a) 4327 (b) -0.5 (c) -30 (d) 2/3 (e) 2/5 b What is the smallest value in 4, -2, 0, 0.4, -1, 120, -5? -5 What is the third smallest value in -1109, -0.3, -5094/107? -0.3 What is the fifth smallest value in 14776/19, 0.4, 1/3, -2/11, -1, -3/5? 0.4 What is the seventh biggest value in 4, 4599, 1/4, 3/2, -1.1, 0, -5/3? -5/3 What is the biggest value in -190, -3, 54, -0.3, -0.2, 2/25? 54 What is the second smallest value in 2/27, 76, 2/11, -1, -0.01, -2? -1 What is the smallest value in -31, -0.3, 4/15, -1/98, -1/4, 1.5? -31 What is the sixth smallest value in 3, 0.097, -2/23, 1/2, -3, -6? 3 What is the fourth smallest value in 48, 20/3, 5, -3, 9, 0.2? 20/3 Which is the sixth biggest value? (a) -5 (b) -0.4 (c) 15/4 (d) -0.2 (e) -3 (f) 1/6 (g) 66/17 e Which is the biggest value? (a) -1912006 (b) -3 (c) 0.4 c Which is the third biggest value? (a) 1.19 (b) -2/3 (c) -3 (d) -0.1 (e) 1/50 (f) 86 (g) 0.3 g Which is the fifth biggest value? (a) 0.01 (b) 1.6 (c) -7 (d) -0.5 (e) 141.5 c Which is the smallest value? (a) 6 (b) 1 (c) 4/11 (d) 143010/47 c Which is the sixth biggest value? (a) 1/3 (b) -2 (c) 4109 (d) -3 (e) -0.2 (f) -1/3 d What is the smallest value in 4, 2/9, 3, -11/3, -1126? -1126 What is the fifth biggest value in 2/15, -1/4, -0.3, -19, 11227, 1, -2/15? -1/4 What is the fifth biggest value in -2/7, 1/4, -1/6, 3, -4.1048, 12, -5? -2/7 What is the second smallest value in 1, 30/83, 0.0168? 30/83 Which is the fourth smallest value? (a) 1/2 (b) 6 (c) 1/3 (d) 429910 (e) 0.1 (f) -2/3 a What is the third biggest value in -1/71, 5, -0.32, 2? -1/71 Which is the second smallest value? (a) 2/19 (b) 2/125 (c) 3 (d) 6/5 (e) -0.2 (f) -61 (g) 10 e What is the fourth biggest value in 0.5, -3, 2/7, -105983? -105983 Which is the second smallest value? (a) -2 (b) -3/4 (c) -19 (d) 0.12 (e) -4/519 a What is the sixth biggest value in 0.28, 2, 25, -4, 2/9, -5, 2/49? -4 What is the second smallest value in -6, 493907, 4, -3? -3 Which is the sixth biggest value? (a) -0.04 (b) -0.3 (c) -0.1 (d) -18204 (e) 0 (f) 0.2 (g) -0.4 g What is the second biggest value in -64, -35/1101, 0.04? -35/1101 Which is the second smallest value? (a) -3583328 (b) -5 (c) 42 b What is the fourth smallest value in -901, 0.1, -2, -0.4, -4, -5/3, 33? -5/3 Which is the second smallest value? (a) -0.5 (b) 1 (c) 5 (d) 973 (e) 0 e What is the second biggest value in 24046.2, 0.3, 23? 23 What is the second biggest value in -14, -0.2, -3, -11226, -0.1, 3? -0.1 Which is the third biggest value? (a) -16.83 (b) -3/4 (c) -35/2 (d) 4 a What is the third smallest value in -2, -1, -7/10, 223? -7/10 Which is the third biggest value? (a) 7.28 (b) 2 (c) -1 (d) 65 b Which is the third smallest value? (a) 14/31 (b) 9 (c) -2/43 (d) -3 (e) -1 c What is the fourth biggest value in 978, 2/25, -77, -2/5? -77 What is the second biggest value in 15, 1/9, 2/13, 159/2, 81.2, -3? 159/2 What is the fifth smallest value in -51, -5, 1/7, -1, -427? 1/7 Which is the fourth biggest value? (a) 3/73 (b) -5 (c) 0 (d) 5 (e) -0.061011 e Which is the fifth smallest value? (a) -132.8 (b) 5/2 (c) 6.4 (d) -5 (e) -0.6 c Which is the sixth smallest value? (a) 2/25 (b) -52 (c) -2 (d) 25 (e) 0.2 (f) -8/7 d What is the third smallest value in -4/7, 425, 1, 1/3? 1 What is the sixth biggest value in -0.5, 3, 0, -6, -1/5, -0.03, -24? -6 What is the smallest value in 3, -404, -2/7, -72? -404 Which is the second biggest value? (a) -1587/8 (b) 16 (c) -2/23 c Which is the third biggest value? (a) -11 (b) -4 (c) 3 (d) 1/2 (e) 4 (f) 51976 c Which is the second smallest value? (a) 0.5 (b) 2/103 (c) -7 (d) 3 (e) -9.62 c What is the sixth biggest value in -5, -6, 0, -0.2, 7789, 0.1, -0.5? -5 What is the fourth biggest value in -0.3, 2/4629, 0, 1/2, -2, 2/9, 6.2? 2/4629 Which is the third smallest value? (a) 1 (b) -0.2 (c) -4497463 a What is the smallest value in 894, 0.06, 42, 0.07? 0.06 Which is the second smallest value? (a) 1 (b) -23773/4 (c) 0.019 (d) 0 (e) -3 (f) 3 e Which is the biggest value? (a) -0.0189 (b) -0.08 (c) 1/4 (d) -0.2 (e) -2 (f) -5 (g) 66/7 g What is the biggest value in -2/19, 11.34, 1563? 1563 Which is the second biggest value? (a) 1 (b) -116/3 (c) -687 b What is the fourth biggest value in -110.28, 239, 5, -4? -110.28 What is the fourth smallest value in -0.5, -1.8, 7.99, 2769, 2? 7.99 What is the smallest value in -0.16392, 50/743, 2? -0.16392 Which is the second smallest value? (a) -15/4 (b) 215/21 (c) -2/3 c Which is the third smallest value? (a) 2 (b) 2/5 (c) 146/7 (d) 1/3 (e) -5/8353 b Which is the sixth biggest value? (a) 0.04 (b) -2/5 (c) 1 (d) 2633 (e) -1 (f) 2 (g) 1/9 b Which is the biggest value? (a) 24 (b) -19/77 (c) 4 (d) 9 (e) -8 (f) -2 (g) -3/2 a Which is the third biggest value? (a) -0.14 (b) -37 (c) -0.189 (d) 2 c Which is the third smallest value? (a) 275/7 (b) 270 (c) 1 b What is the fifth biggest value in 0.4, -22, 1/2, 7, 78.5? -22 What is the seventh biggest value in 0.5, 3/123287, 4/7, 2/3, -2, 2, 0.01? -2 What is the sixth biggest value in -0.3, -526, -1, -3/5, -4, -2, -9? -9 Which is the fourth biggest value? (a) -9 (b) -0.4 (c) 0.04 (d) 0.3 (e) -23 (f) 32 (g) 3 c What is the smallest value in -412, -1/176, 0.4, -0.5, 34? -412 What is the second smallest value in 1, 7/15, -2/2637499? 7/15 Which is the biggest value? (a) 2 (b) -55 (c) -3/14 (d) 1.0503 a What is the smallest value in -1/5, 1, -45585, -0.23? -45585 What is the fourth biggest value in -3/4, 148076, -0.014, -2? -2 What is the biggest value in -12, 18/41, 45, 1/6, -1/4? 45 What is the second biggest value in 3979, 15, 0.006, -3, -0.1, 0.3? 15 Which is the smallest value? (a) 3/4 (b) -0.9 (c) 256 (d) -366 d What is the fifth biggest value in 16.31, 0.3, 7339, 5, -0.3? -0.3 What is the third smallest value in 0.1000387, 7, -36? 7 Which is the second biggest value? (a) -1 (b) -5 (c) -3/5 (d) 233423 (e) 0.5 (f) 3 (g) -2/13 f Which is the seventh biggest value? (a) -0.02 (b) -7 (c) 2/9 (d) 0.2 (e) -248 (f) -3/5 (g) -34 e Which is the fifth biggest value? (a) -1/2 (b) -2/345 (c) 7 (d) -0.8 (e) 0 (f) -2 (g) -0.1 a What is the fourth smallest value in -7/2, 4, 1, 34431.2? 34431.2 Which is the second smallest value? (a) -28/115 (b) -2/47 (c) -51 (d) 4 a What is the third biggest value in 11, 3, 5, -13222? 3 What is the fifth biggest value in -0.07, 3, -8/147, 1/2, -0.18, 0.7? -0.07 Which is the third smallest value? (a) -17/6 (b) -0.33 (c) -5 (d) 127 b What is the sixth biggest value in 0, -1/4, -6, -2, -264/5, 14.6? -264/5 What is the third smallest value in -0.06, 885/19, 4, -334? 4 What is the fifth smallest value in -1/7, 902.1, 0.2, -0.09, 2/51? 902.1 What is the second biggest value in 3, 125417, 0.1, 0.3, 3.55? 3.55 What is the second smallest value in 5, -94, -1, 2/3, 1, -0.2507? -1 Which is the seventh biggest value? (a) -3 (b) 0.4 (c) 18/7 (d) -2 (e) 0 (f) -0.4 (g) -75 g What is the fifth smallest value in 0.31, 2/3, -32.4, 0.3, -0.2? 2/3 Which is the
{ "pile_set_name": "DM Mathematics" }
be (g + 4)*(7 + -6). Sort 1, 2, y in descending order. y, 2, 1 Suppose -4*q - 11 = -6*z + 3*z, 0 = -2*q - 4*z. Suppose -3 = n - 2. Let k = n + 3. Sort 3, q, k in ascending order. q, k, 3 Let q be 6/(-4) + (-28)/(-24). Let u be ((-7)/(-3))/((-22)/(-132)). Sort 4/3, 0, u, q in decreasing order. u, 4/3, 0, q Suppose 0 = -2*g - 4*j, 4*j - 24 = 7*g - 3*g. Let i(m) = -14*m - 1. Let f be i(-1). Put f, 1, g, -3 in increasing order. g, -3, 1, f Let p be ((-36)/42)/((-4)/14). Suppose -p*s + 4*s = 0. Let z be -3 - (1 + s + -2). Put 5, 3, z in increasing order. z, 3, 5 Let l be (2/(-6))/(4/(-72)). Let d = l - 5. Put 5, -3, 0, d in ascending order. -3, 0, d, 5 Let p = 50 - 34. Let a = -3 - 2. Let y = a + p. Put y, -1/2, -5 in descending order. y, -1/2, -5 Let m = 1026 - 1025.9. Sort -266, 5, 1/4, m in descending order. 5, 1/4, m, -266 Let v(y) = -y. Let g be v(5). Let j = 118 - 125. Put j, g, -1 in increasing order. j, g, -1 Let c = 1 - 0. Let s = -43 - -51. Suppose s*x = 5*x - 12. Sort -3, c, x. x, -3, c Let r be (0 - -12)/(-6)*442/4. Let f = -2429/11 - r. Sort 1, f, 0.5, -20 in descending order. 1, 0.5, f, -20 Let z = 20 + -25. Let w be 8 + z - (3 + -5). Suppose w*p - 8 = f, -3*f = -p + 6*p - 16. Sort f, -2, 0. -2, 0, f Let d(a) = 12*a + 0 - 11 + a**2 - 8*a + 1. Let h be d(-6). Sort -3, 4, h, -4 in descending order. 4, h, -3, -4 Suppose -14 = -2*k - 3*i, 4*i - 17 - 3 = -4*k. Put -9, k, 3 in descending order. 3, k, -9 Let z = -1003 - -1015. Sort 2, z, 3, 6. 2, 3, 6, z Suppose 7*x = -51 + 79. Suppose -2*z - 4 = g - 0*g, 5*z = 5*g + 20. Sort -1, g, x, 8 in descending order. 8, x, -1, g Let z(u) = -2*u - 1. Let o be z(-1). Let r(k) = 12*k**3. Let f be r(o). Let b = -17 + f. Sort -2, 5, b in ascending order. b, -2, 5 Let n(f) = -f**3 - 14*f**2 + 10*f - 76. Let z be n(-15). Put -6, -19, z in ascending order. -19, -6, z Let j(z) = z**3 + 18*z**2 - 209*z + 7. Let o be j(8). Let p = 11 + -21. Let r be -2*(1 - p/(-4)). Sort o, r, 5 in decreasing order. 5, r, o Suppose 0 = 5*s + z - 25, 3*z - 149 = -134. Suppose 4 = 4*v + 4*o, -5*v - 8*o + 4*o = -2. Put s, v, 0, -8 in increasing order. -8, v, 0, s Let w(h) = 2*h**3 - 6*h**2 - 14*h + 22. Let d be w(4). Suppose -3*l - 3*m - 16 = -2*l, -2*l - 16 = 2*m. Put 2, l, d in decreasing order. 2, d, l Let p be (-4 - -4 - 0) + 4. Suppose -16 + 0 = p*h. Suppose -c + 3*b = -4*c, -30 = 2*c - 4*b. Sort 5, h, c in decreasing order. 5, h, c Let l(h) = h. Let q be l(1). Suppose 4*k = 14*k + 20. Sort 3, k, q in ascending order. k, q, 3 Let r(d) = -d**3 - 15*d**2 - d - 20. Let g be r(-15). Let c be (16 - 17) + g + 1. Sort 1, c, -1 in decreasing order. 1, -1, c Let h be -3 - (3 + 9/(-3)). Suppose -2*w - 4*u = -30, -5*u = -4*w + 2*w - 15. Put w, 2, h, 6 in descending order. 6, w, 2, h Suppose 0 = -3*m + 9 - 3. Let i be (-1 + 1)/(m + -3). Let l be (-10 + 572/39)*3/2. Sort i, l, -3. -3, i, l Let o = 3.9 + 1.1. Suppose 998*d - 965*d - 99 = 0. Put d, o, -2/5 in descending order. o, d, -2/5 Let s = 32 - 27. Suppose 12 = s*t - 13. Put 2, -5, t, 1 in descending order. t, 2, 1, -5 Let w = -2 + 3. Let h = 215 - 215. Put w, 2, -5, h in increasing order. -5, h, w, 2 Suppose 34*w - 7 = 39*w - f, -4*w + 3*f = 10. Put w, -6, -4 in ascending order. -6, -4, w Let i(g) = 22*g - 237. Let a be i(11). Put -1, a, -9, -4 in decreasing order. a, -1, -4, -9 Let c = -79 + -52. Let q = c - -136. Let k = 0.2 + -0.3. Sort k, q, 9 in increasing order. k, q, 9 Let t = -33 + 18. Let a = t - -18. Let l = 12 + -107/9. Put -2, a, l in descending order. a, l, -2 Let s = 4 - 3. Suppose -9*m + 48 + 42 = 0. Suppose -5*o - m = x, 2*o + 0 = -x - 1. Sort 4, s, o. o, s, 4 Let u = -3 - -4. Let n = 400/7 + -5419/56. Let m = -40 - n. Put u, m, -0.2 in ascending order. m, -0.2, u Let l = 467 + -463. Put 4.8, l, 1/4 in increasing order. 1/4, l, 4.8 Let q be 4*(-1 + (-7)/(-4)). Let f = q + -6. Let l(u) = -u**2 - u + 3. Let b be l(f). Sort 2/3, b, -2 in descending order. 2/3, -2, b Let q = 43 + -45.5. Let g = -0.5 - q. Sort 0, 3, g in increasing order. 0, g, 3 Let f = -0.0317 + 2.0317. Put -1/3, -1, f, -1/8 in ascending order. -1, -1/3, -1/8, f Let z = -40 - -36. Suppose 4*i - 15 = -3. Let x be (i - 1)*(-1)/(-2). Put z, 0, x in descending order. x, 0, z Let z be 3 - (152/22 - 5). Let c = -5 + 0. Sort c, z, 3, -3/5 in increasing order. c, -3/5, z, 3 Let n be (2/3)/(6/81). Suppose 4*c - n = 2*m - 5*m, -3*m = c. Let j be (-18)/(-3)*((-23)/6 - -4). Sort c, 4, j in descending order. 4, c, j Let i = 44 - 97. Let p = i + 109/2. Sort 1/3, 1, 2/17, p in descending order. p, 1, 1/3, 2/17 Suppose -2*o = -5*r + 19 - 2, o = -4*r - 15. Let f be 10/(-25) - o/15. Sort -2/13, 2, f, 2/23. -2/13, 2/23, f, 2 Let w = -480.5 + 480. Sort -81, -3, w. -81, -3, w Let b = -17/2 + 48/5. Let y = 13/30 - b. Sort y, -2/7, -4, 2/15. -4, y, -2/7, 2/15 Suppose -o - 35 = -4*c, 0 = -2*c + 4*o - o + 25. Suppose -c = 4*l - 0*l. Let u = -633 - -629. Put l, 3, u in ascending order. u, l, 3 Let o = -4.17 - -0.87. Let d = 2.9 + o. Sort 0.03, d, 4 in descending order. 4, 0.03, d Let f be -1*2/7 + (-74)/(-14). Put f, -2, 3/5, 14 in increasing order. -2, 3/5, f, 14 Let q = 69/112 + -9327/1232. Let z = q + 60/11. Sort 5, z, 2. z, 2, 5 Let i be -1 - -2 - (3 - (11 + -6)). Suppose 0 = -i*o - 0*o. Put o, -5, 4 in descending order. 4, o, -5 Let f = 1.7 - -0.3. Let t = 0.06 + 3.94. Let j(o) = -o**3 - 21*o**2 + 46*o + 518. Let q be j(-22). Put q, f, t in decreasing order. t, f, q Let v be (4/(-26))/(5 + 97304/(-19464)). Let i = 187 + v. Sort 3, i, -4. -4, i, 3 Suppose d - 20 = 4*s - 2*d, 0 = 3*s + 3*d + 36. Let b be -4 + (-2 - s/1). Let p = -5 - -5. Put -1, p, b in increasing order. -1, p, b Let n be (4 + -5 - -13)*6. Let i = 70 - n. Put 2/5, i, 7, 1/2 in descending order. 7, 1/2, 2/5, i Let b be ((-20)/(-6))/(3/(-9)). Let s be (6/5)/(3/b). Let l(c) = -c**3 + 12*c**2 - c + 13. Let h be l(12). Put -5, s, h in increasing order. -5, s, h Let j(k) = k**3 - 3*k**2 + k - 1. Let z be j(3). Let y be ((-2)/(-3))/(z/(-21)). Let v(n) = -2*n - 16. Let t be v(y). Sort 0.03, 1/2, t in decreasing order. 1/2, 0.03, t Let j(l) = -2*l**2 + 103*l - 151. Let s be j(50). Sort s, 4, 1, 6 in descending order. 6, 4, 1, s Let w(s) = s**3 - 13*s**2 - s + 14. Suppose 4 = -f + 17. Let u be w(f). Suppose -q = -2*q - u. Put 4, q, -2 in decreasing order. 4, q, -2 Let d(x) = 2*x**3 - 4*x**2 + 2*x + 1. Let k(q) = -2*q. Let f be k(-1). Let g be d(f). Suppose 5*i - 11*i + 6 = 0. Sort 4, i, g in decreasing order. g, 4, i Let o(l) = -21*l - 153. Let d be o(-16). Sort -0.4, d, 1 in ascending order. -0.4, 1, d Let b be (-8 - -2)*((-3)/(-2) - 3). Put b, -2, -4 in decreasing order. b, -2, -4 Let x = -0.42 + 19.42. Sort x, 5, -2/7. -2/7, 5, x Let g = 5.46 - 1.46. Let c = -41 + 79/2. Put g, -0.06, c in decreasing order. g, -0.06, c Suppose 2*q - 6 = 5*q. Let d = q - 2. Suppose -4*g + 3*m - 32 = 0, 3*g - 16 = 7*g + m. Put g, 0, d in ascending order. g, d, 0 Let u = 0.7 - 0.2. Let z be (-2)/(-25) + (-888)/(-150) + -5. Put 0.05, -3, u, z in decreasing order. z, u, 0.05, -3 Let w = -1195/7 + 171. Put 2/37, -4, w in ascending order. -4, 2/37, w Let t(b) = -b**2 - 13*b + 25. Let g be t(-15). Suppose 0 = -3*c - c + r + 11, -41 = -4*c - 5*r. Sort 7, c, g in descending order. 7, c, g Let c = -1 + 1.18. Let g = -9.18 + c. Let z = g - -25. Put z, -0.1, -0.5 in decreasing order. z, -0.1, -0.5 Let z = 1258/3 + -420. Suppose 4*w - 14 = -2. Let f be (-18)/48*(-10)/w. Put z, 0.1, f in descending order. f, 0.1, z Let y = -2 + -1. Let p = -2098 + 2053. Put -2/7, y, p in descending order. -2/7, y, p Suppose 16*f - 30*f - 14 = 0. Let n = 0 - -3. Let q = f + n. Put q, -5, 4 in decreasing order. 4, q, -5 Let n = 3336/5 - 667. Put 2/7, n, -3, 0 in increasing order. -3, 0, n, 2/7 Let f = -0.1 - -0.04. Let w = -1779 + 1778.5. Put -3, w, -1/3, f in descending order. f, -1/3, w, -3 Suppose -1 - 1 = 2*f. Let a(o) = o - 1. Let n be a(f). Let b be n/(-2)*11/(-11). Put -2, b, 1 in increasing order. -2, b, 1 Suppose 5*c = 210 - 190. Sort c, 0.5, -3/7, -22. -22, -3/7, 0.5, c Suppose o - 3*u = -1, 2*u - u = -5*o - 5. Let r = o - 0. Put 1, -3, 2, r in decreasing order. 2, 1, r, -3 Suppose 20 = -67*n + 68*n. Let t = 1 + -1. Suppose t = 2*o - 4*u + 8, u - n = -2*o - 2*o. Sort 3, o, -3/5 in decreasing order. o, 3
{ "pile_set_name": "DM Mathematics" }
3 - 19632*f**2 What is the first derivative of -829109*g**2*p*z**3 + g**2*p - 76*g**2*z**3 + 396*g**2 + 4*g + z wrt p? -829109*g**2*z**3 + g**2 Differentiate 1763*l**3 - 75735*l + 559620943 with respect to l. 5289*l**2 - 75735 What is the third derivative of -4510*z**6 - 1070*z**4 - 141*z**2 + 695*z + 62? -541200*z**3 - 25680*z What is the third derivative of -29794594*c**6 - 7*c**2 + 135263*c + 6 wrt c? -3575351280*c**3 What is the derivative of 200*r**4 - r**2 - 231278*r + 141816685? 800*r**3 - 2*r - 231278 What is the second derivative of 2350272*u**3 - u**2 + 122282465*u wrt u? 14101632*u - 2 Find the third derivative of 69*y**5 - 2*y**4 - 17374*y**3 + 73*y**2 + 2404390*y wrt y. 4140*y**2 - 48*y - 104244 Differentiate 1089*n*v*y + 947*n*v + 7*n*y - 1192*n + 1201*v*y + 2*v + 4 with respect to y. 1089*n*v + 7*n + 1201*v What is the second derivative of -10225*b**2*f**2*g + 2394*b**2*f*g - 135*b**2*f + 77*b**2*g**3 + 1425*f**2*g**3 - g**2 wrt f? -20450*b**2*g + 2850*g**3 What is the third derivative of -69147346*a**3 + 226*a**2 + a - 11517 wrt a? -414884076 What is the third derivative of 8591326*s**3 + 1505*s**2 - 82*s - 42? 51547956 Find the second derivative of 23*o**4*y - 150*o**3 - 2526*o**2*y - 211153*o*y - 56*y wrt o. 276*o**2*y - 900*o - 5052*y Find the third derivative of -122043744*h**3*w**2 + h**2*w**2 - 34*h**2 - 71*h*w**2 - 6*h*w + 5*w wrt h. -732262464*w**2 What is the third derivative of 5*x**4 - 7780924*x**3 - 39*x**2 - 5*x + 39281? 120*x - 46685544 Find the first derivative of -296959838*m**4 + 234411016 wrt m. -1187839352*m**3 Find the second derivative of -130514*w**4 + 2*w**3 - 5*w**2 - 2685337*w. -1566168*w**2 + 12*w - 10 What is the third derivative of -70570113*s**3*v**2 + 24*s**2 + 28*s*v**2 + 12*s + 235*v**2 wrt s? -423420678*v**2 What is the first derivative of -472*n**2*r*s - 12570*n**2*s + n**2 - r*s + 38712682*r wrt s? -472*n**2*r - 12570*n**2 - r Find the first derivative of -9174522*u**2 + 465244. -18349044*u Differentiate 2*n**3*q - n**3 + 6793*n**2*q - n**2 + n*q - 40259*n - 31*q + 14 wrt q. 2*n**3 + 6793*n**2 + n - 31 Find the second derivative of 2*p*q**3*s**2 + 214*p*q*s**2 - 2*p - 565*q**3*s**2 - 7166117*q**3*s wrt s. 4*p*q**3 + 428*p*q - 1130*q**3 What is the first derivative of t**2*u - 313*t**2 - 472*t + 6004913*u**2 - 1 wrt u? t**2 + 12009826*u What is the second derivative of 5*f*k**2*p**2 + 7211*f*k**2 + 2*f*k*p - 4021*f*k - 249*k**2*p**2 - k*p + 6*p**2 wrt k? 10*f*p**2 + 14422*f - 498*p**2 Differentiate -367496339*t**3 + 758485620 wrt t. -1102489017*t**2 What is the third derivative of -s**5 + 12696385*s**4 - 425543*s**2 - 18 wrt s? -60*s**2 + 304713240*s Differentiate -246490*g**4*p + 406*g**3*p*y + 444*p*y - 32*p - 595*y with respect to g. -985960*g**3*p + 1218*g**2*p*y What is the second derivative of -46999937*w**5 + 38667454*w + 2 wrt w? -939998740*w**3 What is the third derivative of 158745437*n**3 + 60*n**2 + 2*n - 229296? 952472622 Find the second derivative of 2176*a*y**3 - a*y - 2*a + 2*y**5 + 1620*y**2 + 7053511*y + 1 wrt y. 13056*a*y + 40*y**3 + 3240 What is the third derivative of 544*o**5 + 12*o**4 + 5*o**3 + 24*o**2 + 7857 wrt o? 32640*o**2 + 288*o + 30 Find the second derivative of 34*z**3 - 1124488*z**2 + 27*z + 573175. 204*z - 2248976 Find the second derivative of -51239039*n**3 + 679*n - 17564. -307434234*n Find the second derivative of -33*a*q*r**2 + 7899309*a*q*r + a*r + a + 99*q*r**2 + 1055*r**2 wrt r. -66*a*q + 198*q + 2110 Find the second derivative of 2309367*k**4 - 6394559*k wrt k. 27712404*k**2 What is the third derivative of 2541*h**4*p**2 + 5755*h**4 + 10*h**2*p - 1690*h*p**2 + 177*h wrt h? 60984*h*p**2 + 138120*h What is the first derivative of 4*k**2*u**2 - 361742*k**2*u + 6*k*u**2 - 7532*u**2 + 54 wrt k? 8*k*u**2 - 723484*k*u + 6*u**2 Find the second derivative of 183*q**5 - 95920*q**2 - 539875695*q wrt q. 3660*q**3 - 191840 What is the derivative of -2035*z**4 - 16*z**2 + 9*z + 35753965? -8140*z**3 - 32*z + 9 Find the third derivative of -27977*v**6 + 3438*v**3 - 95*v**2 - 122067*v + 4. -3357240*v**3 + 20628 What is the second derivative of -m*t*x + 2*m*t - 11*m*x**2 - 61*m*x - 546883*t*x**2 + 886*t*x + 18*t + x wrt x? -22*m - 1093766*t Find the third derivative of 43*c*d*z**3 - 2*c*d*z**2 + 2*c*d*z - 7*c*z**3 + 48*c*z - 2*d*z**3 + d*z**2 - 2*d*z + 403*z**3 + 30*z**2 wrt z. 258*c*d - 42*c - 12*d + 2418 What is the third derivative of -596*d**3*j - 598*d**3 - 2*d**2*j + 12026391*j wrt d? -3576*j - 3588 Differentiate 2*a**2*s + 18982745*a**2 + 4*a*s**3 - 111942427*s**3 with respect to a. 4*a*s + 37965490*a + 4*s**3 Find the second derivative of -h**5 - 3827416*h**4 - h**3 + 2510097*h + 19 wrt h. -20*h**3 - 45928992*h**2 - 6*h Find the first derivative of 36941505*d - 43286327 wrt d. 36941505 What is the third derivative of -13692497*y**4 + 45435*y**2 + 177 wrt y? -328619928*y Find the second derivative of 35*x**3 + 183246*x**2 - 58512882*x. 210*x + 366492 Differentiate 503541195*c*x**3 + 43*x**3 + 2*x**2 - 198*x - 8 with respect to c. 503541195*x**3 Find the third derivative of 415*h**3*o**2 + 498*h**3*o - 4*h**3 - h**2*o**2 + 22*h**2 - 61888*h*o**2 wrt h. 2490*o**2 + 2988*o - 24 Find the first derivative of 10254692*s**2 - 5329774. 20509384*s Find the second derivative of 15763298*b**2 + 3680197*b. 31526596 What is the third derivative of 26813229*o**5 + 68022*o**2 - 21*o - 60 wrt o? 1608793740*o**2 What is the first derivative of -6*l**2*o - 63956236*l**2 + l*o - l - 57*o**2 + 8479*o wrt o? -6*l**2 + l - 114*o + 8479 Find the third derivative of -598834277*c**5 - 1215151*c**2 - 8*c + 2. -35930056620*c**2 What is the third derivative of 156*r**4 - 110989*r**3 - 10*r**2 + 2*r - 52835? 3744*r - 665934 Find the second derivative of 171*q**2*s**3 + 4095*q**2*s - 58786*s**3 + 294*s wrt s. 1026*q**2*s - 352716*s Find the second derivative of 199*o**4 - 275645*o**3 + 612574*o - 66 wrt o. 2388*o**2 - 1653870*o Differentiate 125506*d**3 + d**2 - 14*d + 8989004. 376518*d**2 + 2*d - 14 Find the first derivative of -1956363*v**2 + 8*v - 9142119 wrt v. -3912726*v + 8 What is the derivative of -13277022*q**4 + 45828004 wrt q? -53108088*q**3 Find the second derivative of 282916568*u**2 - 640516758*u wrt u. 565833136 What is the derivative of 5299082*h - 2426220 wrt h? 5299082 What is the derivative of -33*i**3 + 9040*i**2 + 39*i - 108527288 wrt i? -99*i**2 + 18080*i + 39 Find the second derivative of 2448*m**4*w - 4*m**4 + 107*m**2*w - 2458614*m*w - 4*w wrt m. 29376*m**2*w - 48*m**2 + 214*w What is the third derivative of 114608649*h**6 - 19863645*h**2? 13753037880*h**3 What is the derivative of 6*d**2*r**2 + 236631*d**2*r + 31*d*r + 119806661*r**2 wrt d? 12*d*r**2 + 473262*d*r + 31*r Differentiate 186*x**3 + 2743*x**2 + 3*x - 69601715 with respect to x. 558*x**2 + 5486*x + 3 Find the second derivative of -45523240*x**2 + 53402455*x wrt x. -91046480 Find the second derivative of 124883256*v**2 + 12118*v + 1975. 249766512 What is the third derivative of -1826303*w**4*x**2 - 53*w**2*x**2 + w**2*x - 66*w*x**2 - 7*w wrt w? -43831272*w*x**2 What is the third derivative of -749*i**5 - 367*i**4 - 19*i**3 + 37371*i**2 - 273*i + 1 wrt i? -44940*i**2 - 8808*i - 114 What is the third derivative of 234*s**6 - 2*s**3*t*x - 11440*s**3*x - 14*s**2*t*x + 53*s**2*t + 88*s**2*x - 2*x wrt s? 28080*s**3 - 12*t*x - 68640*x Find the second derivative of 17096976*m**2 + 54*m + 80576. 34193952 What is the first derivative of 58949468*g**2 + 51994204? 117898936*g Find the first derivative of -5435*k**4 + 23*k**2 + 15279813. -21740*k**3 + 46*k What is the first derivative of k**4 - 1208*k**3 - 124*k**2 + k - 13185092? 4*k**3 - 3624*k**2 - 248*k + 1 What is the second derivative of -8*p**2*v**2 + 228067*p**2*v - 246054*p*v**2 + 3 wrt p? -16*v**2 + 456134*v Find the first derivative of -36*u**2 + 6055*u + 13469585 wrt u. -72*u + 6055 What is the second derivative of -3363640*a**3 - a - 94008? -20181840*a Differentiate 792*h**3*w**2 - 3*h**3 - 179*h**2*w**4 - 5*h - 265881 wrt w. 1584*h**3*w - 716*h**2*w**3 Find the third derivative of -141400907*c**3*i + 6*c**2*i + c**2 - 12*c*i + c - 3*i - 115 wrt c. -848405442*i Differentiate -8*c*y**3 + 4836187*c*y + 201211*c - 9 wrt y. -24*c*y**2 + 4836187*c What is th
{ "pile_set_name": "DM Mathematics" }
3 What is the units digit of 52? 2 What is the tens digit of 1379? 7 What is the tens digit of 41007? 0 What is the hundreds digit of 32613? 6 What is the hundreds digit of 1559? 5 What is the units digit of 18? 8 What is the units digit of 416? 6 What is the thousands digit of 5595? 5 What is the hundreds digit of 6940? 9 What is the ten thousands digit of 21227? 2 What is the tens digit of 27962? 6 What is the hundreds digit of 517? 5 What is the units digit of 5986? 6 What is the hundreds digit of 823? 8 What is the hundreds digit of 65343? 3 What is the thousands digit of 28939? 8 What is the units digit of 95434? 4 What is the thousands digit of 11709? 1 What is the thousands digit of 1248? 1 What is the units digit of 1081? 1 What is the units digit of 5756? 6 What is the units digit of 993? 3 What is the thousands digit of 33885? 3 What is the units digit of 7605? 5 What is the tens digit of 821? 2 What is the thousands digit of 1878? 1 What is the ten thousands digit of 12882? 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7 What is the hundreds
{ "pile_set_name": "DM Mathematics" }
*2*y + 16038*y**3 wrt y? -6*h**2 + 96228 What is the third derivative of -8804*g**3 - 110*g**2 - 6 wrt g? -52824 Find the second derivative of -187*k**2 - 91*k wrt k. -374 What is the third derivative of t**2*u**3 + 461*t**2*u**2 - 592*t*u**3 - 2*t*u**2 - 2*u**2 wrt u? 6*t**2 - 3552*t Differentiate -98*c*d**2 - 2*c*d - 1602*c - 2*d**2 with respect to d. -196*c*d - 2*c - 4*d What is the second derivative of -509*c**5 + 1485*c wrt c? -10180*c**3 Find the second derivative of -108*j**4 + j**3*n + 5*j*n - 7*n - 1 wrt j. -1296*j**2 + 6*j*n What is the second derivative of f**2*x**2 + 4*f**2*x - 371*f**2 + 305*f*x**2 + f*x + x**2 wrt f? 2*x**2 + 8*x - 742 Find the third derivative of 7*m*u**3 + m*u**2 + 19*u**3 + 2*u**2 + 41 wrt u. 42*m + 114 Find the first derivative of 18*h*i*q**3 + h*i - 7*h*q**3 + 4*i + 183*q**3 wrt h. 18*i*q**3 + i - 7*q**3 What is the third derivative of -139*w**6 - 5*w**2 + 2 wrt w? -16680*w**3 What is the third derivative of 2*q**3*r**4*s - q**3*r**3 + q**3*r**2*s - 173*q**3*r + 3*q**2*r**2*s - 41*r**4*s wrt r? 48*q**3*r*s - 6*q**3 - 984*r*s What is the first derivative of 148*j**2 - 5*j - 1805 wrt j? 296*j - 5 Differentiate 3*b**2*h*s - 132*b**2 - b*h**2*s - 294*h**2*s - 2*h**2 + 2*s with respect to b. 6*b*h*s - 264*b - h**2*s What is the first derivative of -3*j**2*k**2 + 3*j**2*k - 884*j**2 + 29*j*k**3 wrt k? -6*j**2*k + 3*j**2 + 87*j*k**2 Find the third derivative of -4*f**4*n - 236*f**3*n**3 - f**2 - 1595*n**3 wrt f. -96*f*n - 1416*n**3 Find the third derivative of 2*a**2*p**3*t + 2338*a**2*p*t - 2286*p**4 - 2*p**2*t wrt p. 12*a**2*t - 54864*p Find the first derivative of -3873*b**4 + 4166. -15492*b**3 What is the second derivative of 8681*w**2 - 24332*w? 17362 Find the second derivative of 132*z**2 + 255*z wrt z. 264 Differentiate -2*j**2*o**2 - 4*j*o**2 + 21*j*o + o**2 - 8 wrt j. -4*j*o**2 - 4*o**2 + 21*o What is the third derivative of 2794*a**4 + 9*a**2 + 61 wrt a? 67056*a What is the first derivative of -49*u**3 - 2*u + 431 wrt u? -147*u**2 - 2 What is the third derivative of -14381*h**5*r**3 + 114*h**2*r**2 - 11*r**3 wrt h? -862860*h**2*r**3 Find the third derivative of -181*h**2*t**3 - 2*h**2*t**2 + 20*h**2*t - h*t**3 wrt t. -1086*h**2 - 6*h What is the first derivative of 24*b*s**3*v**2 + 18*b*v**2 + 2*b*v - 65*s**2*v**2 + 15*v**2 wrt s? 72*b*s**2*v**2 - 130*s*v**2 What is the third derivative of -17*q**5 - 3*q**4*t**3 + 2*q**2*t + 129*q*t**3 wrt q? -1020*q**2 - 72*q*t**3 What is the third derivative of -51*h**2*q**3 - 163*h**2 + h*q**4 + h*q - 3*q**3 + 17*q**2 wrt q? -306*h**2 + 24*h*q - 18 Find the second derivative of -176*a**5 - 239*a wrt a. -3520*a**3 Find the second derivative of 138*j**3 - 227*j wrt j. 828*j What is the second derivative of 25587*c**4 - 2*c - 13736? 307044*c**2 Find the third derivative of -15*v**4 - 96*v**2 wrt v. -360*v Find the second derivative of 1574*k**5 - 796*k wrt k. 31480*k**3 What is the third derivative of -194*a**3*b**3*v + 13*a**3*b**2*v - 18*a*b**2 + 2*a*b*v wrt b? -1164*a**3*v Find the third derivative of 10655*j**3 + 14*j**2 + 33*j. 63930 Find the second derivative of 4907*s**2 + 6301*s - 3. 9814 Find the second derivative of 183*x**3 - 1645*x wrt x. 1098*x Find the third derivative of -2*v**5 + 24*v**3 - 15*v**2 + 4 wrt v. -120*v**2 + 144 Differentiate -724*c**3 - c**2 - c + 1162 with respect to c. -2172*c**2 - 2*c - 1 Find the second derivative of 2*s**5 + 100*s**2 - 39*s - 2. 40*s**3 + 200 What is the derivative of -14*z**3 + 135*z - 24010 wrt z? -42*z**2 + 135 What is the derivative of 15*p**3*z**2 - 116*p**3 + 26*p - 11*z**2 + 1 wrt z? 30*p**3*z - 22*z What is the third derivative of 6*c*o**3*w**3 - 12*c*w**2 - 5*o**3*w**3 - 2*o**3 + 107*o**2*w**2 + 2*o*w**3 wrt o? 36*c*w**3 - 30*w**3 - 12 Find the third derivative of 2*l**4*u + 18*l**3*u - 31*l**2*u wrt l. 48*l*u + 108*u What is the second derivative of -3441*q**3 - 4020*q wrt q? -20646*q What is the third derivative of -7*l**5 + 76*l**4 - 4817*l**2? -420*l**2 + 1824*l What is the derivative of 3050*m + 4936 wrt m? 3050 Find the second derivative of -293*b**5 - 44*b wrt b. -5860*b**3 Find the second derivative of -349*h**3*r**3 - 2*h**3 + 2*h**2*r + 3*h*r**2 + 2*h*r + 2*r**3 wrt h. -2094*h*r**3 - 12*h + 4*r Find the third derivative of 52*a**3*q**3 - 472*a**3*q**2 - 33*a**2*q**4 - 2*a**2*q**2 wrt q. 312*a**3 - 792*a**2*q What is the third derivative of -55*k**2*m**5 - 2*k**2 - k*m**5 - 29*k*m**2 + 3*k wrt m? -3300*k**2*m**2 - 60*k*m**2 Find the third derivative of -5145*w**3 + 17*w**2 + 33*w wrt w. -30870 Find the third derivative of -944*k**3*o**3 + 9*k**3*o - 8*k**2*o + 2*k**2 + 4*o**2 wrt o. -5664*k**3 What is the third derivative of -460*s**3 - 530*s**2? -2760 Find the third derivative of -7*a**6*j + 35*a**6 - a**2*j + 4*a**2 - 52*a*j wrt a. -840*a**3*j + 4200*a**3 Find the third derivative of -7*b**6*w + 19*b**3 - 31*b**2*w - 3*w wrt b. -840*b**3*w + 114 Find the third derivative of 6*n**4 + 43*n**3 + 95*n**2 + 4*n wrt n. 144*n + 258 What is the third derivative of 622*j*z**3 - 4*j*z**2 + 114*j*z - 2*z**2 wrt z? 3732*j Differentiate 61*r**3*x - r**3 + 3*r**2*x**3 - 2*r**2 wrt x. 61*r**3 + 9*r**2*x**2 What is the third derivative of -643*n*t**4 + n*t**3 - 5*n*t - 2*t**2 + 37*t wrt t? -15432*n*t + 6*n Find the third derivative of -732*p**3*s - p**2*s - 479*p**2 wrt p. -4392*s Differentiate 5*h*u**3 - 290*h*u + 2*u**3 + 171*u**2 + 5 wrt h. 5*u**3 - 290*u Find the second derivative of 2*s**5 - 2*s**4 - 113*s**3*t + s*t + 426 wrt s. 40*s**3 - 24*s**2 - 678*s*t Find the third derivative of 5293*k**3 - 7642*k**2 wrt k. 31758 What is the derivative of 151*o**4 + 90 wrt o? 604*o**3 Find the third derivative of -24*f**3*o*v + 6*f**3*v**2 + 22*f**2*o - 2*f*o*v**2 + f*o wrt f. -144*o*v + 36*v**2 What is the derivative of 2*k**4 + 54*k**3 + 3*k**2 - 19005 wrt k? 8*k**3 + 162*k**2 + 6*k What is the second derivative of 17296*j**2 - 14801*j wrt j? 34592 What is the first derivative of -15*q**2*s + 2*q**2 + 9*q - 39*s**3 + 29 wrt s? -15*q**2 - 117*s**2 Find the third derivative of f**6 + 60*f**5 + 5*f**4 + 200*f**2. 120*f**3 + 3600*f**2 + 120*f Differentiate 6*q**3 - 50*q**2 + 8*q + 4955 wrt q. 18*q**2 - 100*q + 8 What is the first derivative of -567*a*c*r + a*r**3 + 2*a*r**2 + c*r**3 + 54*r**3 + 16*r wrt a? -567*c*r + r**3 + 2*r**2 What is the second derivative of 587*l**2 + 3*l - 69? 1174 Find the third derivative of -8583*r**4 + 15835*r**2. -205992*r Find the third derivative of -16*y**6 + 9*y**4 + 187*y**2 + 5*y. -1920*y**3 + 216*y What is the third derivative of u**4 + 24*u**3 - 928*u**2? 24*u + 144 What is the second derivative of 9*a**3*p - 2*a**3 - 4*a**2*p + 9*a*p - a + 7 wrt a? 54*a*p - 12*a - 8*p What is the first derivative of 15*k**2 - 366*k + 5359? 30*k - 366 What is the third derivative of -6*y**4 - 2*y**3 + 4*y**2 - 2 wrt y? -144*y - 12 Differentiate 5*w**2*z**2 + 367*w**2 + 2*z**2 - 29*z with respect to z. 10*w**2*z + 4*z - 29 Find the second derivative of -35*h**3*k**2 - h**3*k*n - 2*h**2*k**2*n - 2*h**2*n - 93*h*k*n + k**2*n wrt k. -70*h**3 - 4*h**2*n + 2*n What is the first derivative of 2*b*t + 238*b + 3202*t**2 - 9 wrt t? 2*b + 6404*t Find the second derivative of 7*f**2*i**2*j + f**2*i*j - 2*f**2*j**3 + 3*f**2*j + 3*f*i*j + 4*i**2*j**2 + i*j**3 wrt j. -12*f**2*j + 8*i**2 + 6*i*j What is the first derivative of 80*v**4 - 5*v - 6804 wrt v? 320*v**3 - 5 Find the second derivative of -4*c**3*j**4 - 181*c**3*j**2 + 4*c**3*j - 34*c**2*j wrt j. -48*c**3*j**2 - 362*c**3 Find the third derivative of -7*h*n*s**4 - 2*h*n*s**2 + 179*h*s + n*s**3 - 2*n*s**2 + 12*s**4 wrt s. -168*h*n*s + 6*n + 288*s What is the third derivative of 1163*c**3*z**5 - 4*c**3*z**4 + 2*c**3*z + 14270*c**2*z**2 wrt z? 69780*c**3*z**2 - 96*c**3*z What is the third derivative of -238*t**3 + t**2 - 10*t wrt t? -1428 What is the third derivative of 2*n**3*s**5 - 6*n**3*s + 2*n**3 + 15*n**2*s - 341*n*s**5 + 4*n*s**2 wrt s? 120*n**3*s**2 - 20460*n*s**2 What is the first derivative of -704*z**4 - 672? -2816*z**3 Differentiate -3*g**3 + 225*g + 975. -9*g**2 + 225 Find the third derivative of 2*d**3*f*q**3 + 11*d**3*f*q - 4*d**2*f*q - 4*d**2*f - 9*d*q - f*q**3 wrt d. 12*f*q**3 + 66*f*q Find the second derivative of 8411*c*k**2 - 68*c + 14*k wrt
{ "pile_set_name": "DM Mathematics" }
many grams are there in one tenth of a kilogram? 100 Convert 81.464913 milliseconds to days. 0.0000009428809375 What is eighteen fifths of a century in years? 360 What is twenty-one quarters of a litre in millilitres? 5250 What is five quarters of a year in months? 15 How many hours are there in 77254.7 days? 1854112.8 How many millilitres are there in 1/4 of a litre? 250 What is 3/32 of a millisecond in nanoseconds? 93750 What is 47465.19 kilometers in meters? 47465190 How many millilitres are there in one quarter of a litre? 250 How many weeks are there in 562.141944 minutes? 0.05576805 How many microseconds are there in 189826.6 milliseconds? 189826600 What is eleven tenths of a litre in millilitres? 1100 What is 3/10 of a kilometer in meters? 300 What is three tenths of a tonne in kilograms? 300 Convert 108259.4 nanograms to tonnes. 0.0000000001082594 Convert 10707.93mg to micrograms. 10707930 What is 0.7541544 millennia in decades? 75.41544 What is one quarter of a decade in months? 30 What is 11.67184 weeks in nanoseconds? 7059128832000000 How many milliseconds are there in 5/4 of a second? 1250 Convert 328.3446 decades to months. 39401.352 Convert 4677.271 weeks to minutes. 47146891.68 How many seconds are there in 7/2 of a hour? 12600 What is thirty-four fifths of a milligram in micrograms? 6800 What is 74471.12mm in meters? 74.47112 What is 5803.982l in millilitres? 5803982 How many millilitres are there in 0.3724525l? 372.4525 What is five eighths of a millennium in months? 7500 What is 0.1337639 milligrams in nanograms? 133763.9 Convert 569.7516l to millilitres. 569751.6 What is 6/5 of a meter in centimeters? 120 What is 0.5348803 millilitres in litres? 0.0005348803 How many days are there in 19196.9433 seconds? 0.22218684375 What is eleven eighths of a litre in millilitres? 1375 How many nanoseconds are there in 0.3957047 hours? 1424536920000 What is 6.48806nm in centimeters? 0.000000648806 What is 987302.2 grams in kilograms? 987.3022 What is 261925.98 months in years? 21827.165 How many decades are there in seventy-seven halves of a millennium? 3850 What is 49/4 of a litre in millilitres? 12250 How many nanometers are there in 5/8 of a micrometer? 625 How many millilitres are there in 43.9297 litres? 43929.7 What is 997.9818mg in kilograms? 0.0009979818 How many millilitres are there in 5/4 of a litre? 1250 Convert 0.3173781 tonnes to kilograms. 317.3781 What is 25/4 of a kilogram in grams? 6250 What is 5/8 of a day in seconds? 54000 Convert 5949.741 grams to nanograms. 5949741000000 What is 3/32 of a millennium in months? 1125 How many millimeters are there in 17/2 of a centimeter? 85 What is 20153628.9ms in days? 0.23325959375 What is 52.59831nm in meters? 0.00000005259831 How many kilograms are there in 3/8 of a tonne? 375 How many milligrams are there in 966902.7kg? 966902700000 What is 95.01645 months in decades? 0.79180375 Convert 266.266ml to litres. 0.266266 How many litres are there in 85.11755ml? 0.08511755 How many nanograms are there in three fifths of a microgram? 600 What is 53.55363mm in micrometers? 53553.63 How many decades are there in 2.9924526 months? 0.024937105 How many litres are there in 402.8368ml? 0.4028368 Convert 849.3863 milligrams to grams. 0.8493863 How many years are there in 0.5049941 decades? 5.049941 Convert 73.9679 grams to nanograms. 73967900000 What is 726.5363kg in micrograms? 726536300000 What is twenty-one eighths of a week in minutes? 26460 How many microseconds are there in 61408.51ns? 61.40851 Convert 137.08254 months to millennia. 0.011423545 How many millilitres are there in twenty-seven quarters of a litre? 6750 Convert 1731.373ug to milligrams. 1.731373 What is one tenth of a minute in seconds? 6 What is 21/8 of a litre in millilitres? 2625 What is 809.5202 days in microseconds? 69942545280000 What is 11/8 of a millisecond in microseconds? 1375 What is 467.8305 days in microseconds? 40420555200000 What is 43/2 of a day in hours? 516 What is nineteen quarters of a litre in millilitres? 4750 How many millennia are there in 4569.68 decades? 45.6968 What is 75/8 of a meter in millimeters? 9375 Convert 4.637432s to nanoseconds. 4637432000 What is sixty-five thirds of a hour in minutes? 1300 How many centimeters are there in three tenths of a meter? 30 How many grams are there in 59.61588 milligrams? 0.05961588 What is 61/2 of a minute in seconds? 1830 What is 1/5 of a kilometer in centimeters? 20000 What is 1/10 of a millimeter in nanometers? 100000 How many grams are there in twenty-one quarters of a kilogram? 5250 What is ninety-one quarters of a litre in millilitres? 22750 How many millilitres are there in 41/2 of a litre? 20500 What is 33/5 of a century in years? 660 How many tonnes are there in 1.168251 kilograms? 0.001168251 How many litres are there in 162397.2 millilitres? 162.3972 What is 11/2 of a hour in minutes? 330 How many days are there in 37087.272 minutes? 25.75505 How many millilitres are there in fifty-three quarters of a litre? 13250 What is sixty-three eighths of a kilogram in grams? 7875 What is 2/45 of a day in seconds? 3840 What is 853720.7 millennia in years? 853720700 What is 165.6922 millilitres in litres? 0.1656922 Convert 86.9353 years to centuries. 0.869353 How many nanoseconds are there in three tenths of a microsecond? 300 How many millilitres are there in thirteen quarters of a litre? 3250 Convert 743574.4 kilograms to milligrams. 743574400000 What is 526042.6kg in grams? 526042600 How many seconds are there in 1/24 of a day? 3600 How many years are there in 9/10 of a millennium? 900 How many minutes are there in 10/3 of a week? 33600 What is nine tenths of a litre in millilitres? 900 Convert 3244.865 millilitres to litres. 3.244865 What is 517.7114 meters in kilometers? 0.5177114 What is 51/8 of a kilogram in grams? 6375 What is 3/10 of a day in seconds? 25920 What is 11/8 of a millisecond in microseconds? 1375 How many years are there in one twentieth of a millennium? 50 How many hours are there in 5269.426 weeks? 885263.568 What is 52.46961ug in tonnes? 0.00000000005246961 Convert 7.4663892s to hours. 0.002073997 What is seven eighths of a century in months? 1050 What is eleven halves of a year in months? 66 How many litres are there in 573.6123ml? 0.5736123 What is one quarter of a kilogram in grams? 250 How many millilitres are there in 43/4 of a litre? 10750 Convert 450.1756 decades to years. 4501.756 How many years are there in one fifth of a decade? 2 How many nanograms are there in 43/2 of a microgram? 21500 What is 879.3517g in nanograms? 879351700000 How many micrograms are there in 5.393519ng? 0.005393519 What is fifty-three quarters of a milligram in micrograms? 13250 How many kilometers are there in 0.2042842cm? 0.000002042842 Convert 7960.109 meters to nanometers. 7960109000000 How many hours are there in ten sevenths of a week? 240 How many grams are there in seventeen quarters of a kilogram? 4250 What is 3/50 of a litre in millilitres? 60 What is fourty-six fifths of a microgram in nanograms? 9200 How many micrograms are there in 530.438g? 530438000 How many seconds are there in 4/3 of a hour? 4800 How many grams are there in eighty-seven quarters of a kilogram? 21750 What is 13/4 of a litre in millilitres? 3250 How many nanometers are there in 3/40 of a micrometer? 75 How many nanograms are there in five quarters of a microgram? 1250 How many millimeters are there in three tenths of a meter? 300 What is 663211.3ml in litres? 663.2113 What is 3/32 of a tonne in grams? 93750 How many tonnes are there in 0.4196943ng? 0.0000000000000004196943 What is 11/4 of a litre in millilitres? 2750 What is three eighths of a hour in seconds? 1350 How many centuries are there in 7.05661 millennia? 70.5661 How many hours are there in seven eighths of a week? 147 What is 55.24628 minutes in seconds? 3314.7768 What is 33.84364 decades in centuries? 3.384364 How many kilograms are there in 46/5 of a tonne? 9200 How many millennia are there in 1298.1099 months? 0.108175825 How many micrograms are there in 3.6912 tonnes? 3691200000000 How many decades are there in 3/5 of a century? 6 How many nanometers are there in 5043.542um? 5043542 What is 82432.43 m
{ "pile_set_name": "DM Mathematics" }
1)**2/4 Factor 2/3*q**2 + 56*q + 1176. 2*(q + 42)**2/3 Let q(u) = -6*u - 7 + 31 + 8 + 0*u. Let v be q(5). Factor -2/3*n**v - 2/3 - 4/3*n. -2*(n + 1)**2/3 Let b(s) be the second derivative of s - 3/7*s**4 - 3/7*s**5 + 0*s**2 - 2/15*s**6 + 0*s**3 - 2/147*s**7 + 0. Let b(y) = 0. Calculate y. -3, -1, 0 Let j(t) be the first derivative of -t**6/3 + t**4 - t**2 + 77. Determine x so that j(x) = 0. -1, 0, 1 Let x(c) = 5*c**3 - 40*c**2 + 25*c + 95. Let v(m) = 2*m**3 - 19*m**2 + 12*m + 48. Let u(w) = -5*v(w) + 3*x(w). Factor u(y). 5*(y - 3)**2*(y + 1) Let q(t) be the second derivative of -3*t**7/91 - 8*t**6/65 + 16*t**5/65 + 41*t**4/39 + 41*t**3/39 + 6*t**2/13 + 2*t - 1. Solve q(f) = 0. -3, -1, -1/3, 2 Let y(g) be the third derivative of 75*g**8/224 - 11*g**7/21 - 53*g**6/80 + 43*g**5/60 + 5*g**4/4 + 2*g**3/3 - 112*g**2 + g. Determine q, given that y(q) = 0. -2/5, -2/9, 1 Let z(x) be the first derivative of -5/4*x + 1/12*x**3 - 1/2*x**2 - 3. Factor z(c). (c - 5)*(c + 1)/4 Let l(v) = -2*v**4 + 2*v**3. Suppose -5*q = -4*h - 7, -2*h - 3 = 3*q + 6. Let z(i) = 2*i**4 - 2*i**3. Let t(m) = h*l(m) - 2*z(m). Factor t(y). 2*y**3*(y - 1) Factor -46*p + 2*p**3 - 19*p**5 + 46*p + 17*p**5. -2*p**3*(p - 1)*(p + 1) Suppose -9/2*g**4 + 93/2*g**2 + 27/2*g**3 - 54 - 3/2*g**5 + 0*g = 0. What is g? -3, -2, 1, 3 Let p(t) be the first derivative of 4*t**5/5 + 4*t**4 + 4*t**3/3 - 12*t**2 - 5. Determine z so that p(z) = 0. -3, -2, 0, 1 Let l = 88/3 - 26. Let c(w) be the first derivative of 3 + 5/2*w**2 - l*w**3 + 5*w. Factor c(k). -5*(k - 1)*(2*k + 1) Let j be (-20)/18 + 2 - 16/72. Let p(l) be the third derivative of 0*l - 7/12*l**4 - 6*l**2 + 1/15*l**5 + 0 + 7/60*l**6 - j*l**3. Factor p(g). 2*(g - 1)*(g + 1)*(7*g + 2) Suppose -2*o + 2*v - 9 = -21, 5*v + 12 = -4*o. Factor -2/5*c**o + 2/5 + 0*c. -2*(c - 1)*(c + 1)/5 Let k be (-10266)/18 + (-24)/4. Let j = 583 + k. Factor -j*g - 50/3 - 2/3*g**2. -2*(g + 5)**2/3 Suppose 0 = -v - 0*v - 0*v. Suppose x + v = 2. Factor 0 - j + 1/3*j**x. j*(j - 3)/3 Suppose 6 = -2*i + 4*i. Let q(d) be the third derivative of -6*d**2 - 1/420*d**6 - 1/210*d**5 + 0*d**4 + 0 + 0*d**i + 0*d. Factor q(b). -2*b**2*(b + 1)/7 Factor 1/6*b**3 + 11/2*b**2 + 0 + 16/3*b. b*(b + 1)*(b + 32)/6 Let q(r) = 73*r**4 + 464*r**3 + 1239*r**2 + 1472*r + 640. Let f(b) = -18*b**4 - 116*b**3 - 310*b**2 - 368*b - 160. Let n(w) = -9*f(w) - 2*q(w). Factor n(i). 4*(i + 2)**3*(4*i + 5) Let -3*a**2 - 1 - 9 + a**3 - a + 20 - 7 = 0. What is a? -1, 1, 3 Suppose -4*k - 3*k = 0. Suppose k = -4*v - 1 + 9. Factor v*h + 9*h + 0*h + h - 4*h**2 - 8. -4*(h - 2)*(h - 1) Let w be (-36)/(-81) - (-8)/(-18). Let v(o) be the first derivative of -5 + 0*o**4 - 1/10*o**6 + 0*o + w*o**3 + 0*o**2 + 3/25*o**5. Find i such that v(i) = 0. 0, 1 Suppose 4*t + g - 4 = -0*t, -3*t = -g - 10. Let b(r) be the first derivative of -3/2*r**2 - 3/4*r**4 + t*r**3 + 0*r + 3. Suppose b(h) = 0. Calculate h. 0, 1 Let n be (844/(-633))/((-1)/4). Find w such that 8/3*w**3 - 8/3*w**4 - 4/3*w**5 - 8/3 + n*w**2 - 4/3*w = 0. -2, -1, 1 Factor 85*m**2 - 8*m**4 - 49*m**2 - 4*m**3 - 4*m**5 - 36*m**2. -4*m**3*(m + 1)**2 Let q(g) be the first derivative of -44/3*g**3 + 16 - 4*g**2 - 9*g**4 + 0*g. Factor q(j). -4*j*(j + 1)*(9*j + 2) Suppose 23*q - 21*q = a - 7, -4*a + 16 = 4*q. Suppose a*m - 5/2 - 5/2*m**2 = 0. Calculate m. 1 Let f(m) be the second derivative of m**4/20 - 37*m**3/10 - 117*m**2/5 + 305*m. Solve f(x) = 0 for x. -2, 39 Suppose -4*c + 12 = 2*n, 35*n - 30*n - 23 = -3*c. Factor n*w - 1/3*w**2 - 12. -(w - 6)**2/3 Let z(j) be the second derivative of 0 + 2/27*j**3 + 0*j**2 + 18*j - 1/18*j**4 + 1/90*j**5. Factor z(x). 2*x*(x - 2)*(x - 1)/9 Let r(p) be the third derivative of -p**7/840 - p**6/240 + p**5/16 - p**4/24 - 5*p**3/6 + 75*p**2. Determine k so that r(k) = 0. -5, -1, 2 Let f = -882/5 - -210. Factor -33*o**2 + 15*o**3 - 36/5 - f*o. 3*(o - 3)*(5*o + 2)**2/5 Suppose 4*g = 471 - 463. Let -4/5*v**g - 36/5*v**4 + 112/5*v - 24*v**3 + 48/5 = 0. What is v? -3, -2/3, 1 Let k = 39 + -36. Let l be 3/(-2)*(-8)/k. Factor -1 - l*q**4 + 1 - 12*q**3 + 77*q - 61*q. -4*q*(q - 1)*(q + 2)**2 Let w(m) be the first derivative of 6*m**4 - 162*m - 11 - 36*m**3 - 2/5*m**5 + 108*m**2. Factor w(k). -2*(k - 3)**4 Let b(z) = 16*z**3 + 51*z**2 + 35*z - 22. Let h(a) = 3*a**3 + 10*a**2 + 7*a - 4. Let y(g) = 4*b(g) - 22*h(g). Factor y(x). -2*x*(x + 1)*(x + 7) Let b(a) = 15*a + 3. Let i be b(0). Let u(g) be the first derivative of 2/11*g**2 + 1 + 2/11*g + 2/33*g**i. Factor u(z). 2*(z + 1)**2/11 Let t(a) be the second derivative of a**5/34 + 16*a**4/51 + 37*a**3/51 + 10*a**2/17 + 218*a. Factor t(d). 2*(d + 1)*(d + 5)*(5*d + 2)/17 Let a(y) be the second derivative of -y**8/2184 + y**7/1365 + y**6/780 - y**5/390 + 7*y**2/2 - 9*y. Let b(p) be the first derivative of a(p). Factor b(k). -2*k**2*(k - 1)**2*(k + 1)/13 Factor -17/5*r + 16/5 + 1/5*r**2. (r - 16)*(r - 1)/5 Let a(g) be the first derivative of -g**2 - 1/6*g**3 - 2*g + 12. Factor a(c). -(c + 2)**2/2 Let p(a) be the second derivative of 2/7*a**2 + 2/7*a**3 + 3/70*a**5 + 1/210*a**6 + 16*a + 13/84*a**4 + 0. Factor p(o). (o + 1)**2*(o + 2)**2/7 Let g(c) = -c**2 - 2*c - 1. Let n(p) be the second derivative of p**3/6 + p**2/2 + 11*p. Let d(r) = 4*g(r) + 3*n(r). Find o such that d(o) = 0. -1, -1/4 Let m(y) be the third derivative of y**9/181440 - y**8/60480 - y**7/7560 - y**5/4 + 13*y**2. Let a(v) be the third derivative of m(v). Factor a(b). b*(b - 2)*(b + 1)/3 Let h(b) be the third derivative of 10*b**7/21 - 28*b**6/3 + 188*b**5/5 + 296*b**4/3 + 256*b**3/3 - 90*b**2. Factor h(g). 4*(g - 8)*(g - 4)*(5*g + 2)**2 Let z(j) be the second derivative of j**5/15 + 214*j**4/3 + 91592*j**3/3 + 19600688*j**2/3 - 3*j + 7. Determine h so that z(h) = 0. -214 Let a(w) be the second derivative of w**4/4 - 2*w**3 - 7*w - 2. Factor a(z). 3*z*(z - 4) Determine c so that 1/5*c**2 + 8/5*c - 9/5 = 0. -9, 1 Let a(f) be the third derivative of 0*f + 0 + 25/6*f**3 + 1/60*f**5 + 5/12*f**4 + 4*f**2. Factor a(z). (z + 5)**2 Let m(n) be the second derivative of 3*n**5/160 + 75*n**4/16 + 1875*n**3/4 + 46875*n**2/2 + 13*n + 8. Factor m(w). 3*(w + 50)**3/8 Suppose 5*l - l - 8 = 0. Factor -4*y**3 + 3 - l*y - 11 + 6*y + 12*y**2 - 4*y**4. -4*(y - 1)**2*(y + 1)*(y + 2) Factor 0 + 0*z**2 + 1/2*z**3 - 1/6*z**4 - 2/3*z. -z*(z - 2)**2*(z + 1)/6 Let b(s) be the first derivative of -34*s**5/15 - 139*s**4/12 - 148*s**3/9 - 2*s**2 + 132. Find p such that b(p) = 0. -2, -3/34, 0 Let f(p) be the first derivative of -3/16*p**2 - 3/32*p**4 - 9/4*p + 1/2*p**3 + 19. Find o, given that f(o) = 0. -1, 2, 3 Suppose 4*x = 11 + 9. Let h be (x + 7)*(-6)/(-8). Factor 6 - 5*c**3 - 3*c**4 - 4*c**3 - 3*c**2 + 0*c**3 + h*c + 0*c**3. -3*(c - 1)*(c + 1)**2*(c + 2) Factor -26/3 + 11/3*u + 1/3*u**2. (u - 2)*(u + 13)/3 Let s be ((-4)/3)/((-14)/63). Let h be (-4)/s + (-121)/(-33). Factor -6*v**2 + 0*v**4 - 7*v**4 + 2*v**h - 11*v**3 + 4*v**4. -3*v**2*(v + 1)*(v + 2) Let m(h) be the third derivative of -h**7/945 - h**6/15 - 13*h**5/9 - 169*h**4/27 + 2197*h**3/9 - 161*h**2. Factor m(c). -2*(c - 3)*(c + 13)**3/9 Let f be ((-4)/7)/(45/420*-8). Factor 2/3*x**2 + 0 - f*x. 2*x*(x - 1)/3 Let u = 61 + -57. Factor -2*s**3 + 8*s**3 - u*s**3 + 2*s**4 - 4*s**2. 2*s**2*(s - 1)*(s + 2) Let l = 1450 - 1445. Let i(u) be the second derivative of 13*u + 4*u**3 + 7/4*u**4 - 3/4*u**l + 0 - 6*u**2. Factor i(a). -3*(a - 2)*(a + 1)*(5*a - 2) Let w(p) be the first derivative of 27*p**4/16 + 39*p**3/4 - 87*p**2/8 + 15*p/4 - 171. Let w(l) = 0. What is l? -5, 1/3 Suppose z = 49 - 42, -5*z = -u - 32. Determine n, given that -1125/2 - 15/2*n**2 - 225/2*n - 1/6*n**u = 0. -15 Factor 3/2*y**4 - 12 + 69/2*y + 15/2*y**3 - 63/2*y**2. 3*(y - 1)**3*(y + 8)/2 Let 3/4*y**5 - 27/4*y + 63/2*y**2 - 81/2 - 3*y**4 - 6*y**3 = 0. What is y? -3, -1, 2, 3 Suppose -s + 0 = -4. Factor 4*g**2 + s*g - 2*g**3 - 4*g + g**4 - 3*g**2. g**2*(g - 1)**2 Suppose 110 = 5*r + 3*g + g, 0 = -5*r + 3*g + 75. Suppose 0 = -5*o + 4*z + 80, -14 - r = -o + 4*z. Suppose o*i - 18 - i**2 + 3*i**2 - 4*i**2 = 0. Calculate i. 3 Factor 2/11*s**4 - 84/11*s**3 - 86/11*s**2 + 0 + 0*s. 2*s**2*(s - 43)*(s + 1)/11 Suppose 0 = -v - 4*r + 24, 0*v - 3*r + 31 = 4*v. Suppose 3*p - 8 = v. Find q such that q**4 - p*q**3 + 4*q - 2 + q**4 + 0 + 0*q**3 = 0. -1, 1
{ "pile_set_name": "DM Mathematics" }
14*z. Determine q(v). 0 Let i be 4/((2 - 1) + -3). Let b(o) = o**3 + 4*o + 2*o**2 - 1 + 0 + 4. Calculate b(i). -5 Suppose 3*h = -2*h - 4*p + 18, h - 9 = p. Let w(u) = -h*u + 3*u + 5 + 2*u. Calculate w(-5). 10 Let p(g) be the first derivative of g**3/3 + g**2/2 - 2*g - 16. Calculate p(0). -2 Let p = 148 - 146. Let h(g) = 10*g + 1. Give h(p). 21 Let d(p) be the first derivative of p**2/2 + 3*p + 24. Let k(r) = -4*r. Let o be k(1). Give d(o). -1 Let f(u) be the second derivative of u**4/12 - 4*u**3/3 + 2*u**2 - 7*u. What is f(6)? -8 Suppose 5*z - 1 = -16. Let y be (-6)/(-4) + z/(-2). Let q(n) = y - 3 - n - 3. What is q(5)? -8 Suppose -q + 6 = 2*q. Let n = q + -1. Let k(l) = -2*l + l - 4*l. Calculate k(n). -5 Let o(q) = 2*q**2 - 2*q + 1. Let k = -16 - -9. Let z(n) = -4*n - 6. Let y be z(k). Suppose y = i - 5*u, -6*u = -i - 3*u + 14. Determine o(i). 5 Let q(f) = -f**2 - 7*f + 8. Let u be q(-6). Suppose -4 - u = -3*c. Let o(v) = -v - 2*v - v**3 + 6*v**2 - c + 2. Give o(5). 6 Let t(v) = -3*v**2 + 4*v**2 - 4*v + 3 - 11. What is t(6)? 4 Let s be (4 - 4)/(-1 + 0). Suppose i - 4*i - 3 = s. Let l(j) = 5*j**2 + j. Determine l(i). 4 Let c be 1 + 1 + (-48)/16. Let r(p) = -3*p - 2*p + 1 - 5*p**2 + 7*p. What is r(c)? -6 Let a = 3 - 2. Let b(s) = s**3 + 9*s**2 - 4*s + 7. Let g(k) = k**3 + 4*k**2 - 2*k + 3. Let v(n) = -2*b(n) + 5*g(n). Give v(a). 4 Let w(i) = i**2 - 5*i. Let f be w(5). Let a(z) = -1 + 7 - 3 + z**3 + f*z + z**2 - 2*z. Determine a(2). 11 Let s(f) be the first derivative of -8 - f - 2*f**3 + 1/4*f**4 + 3*f**2. What is s(4)? -9 Let k(z) = -4*z - 3 + 4*z + z - 4. What is k(-7)? -14 Let a(v) = v**3 + 4*v**2 - 4*v + 2. Let u be a(-5). Let c be (1*(-1 - -1))/u. Let y(o) = -1 + c*o**2 + 0 + o**2 - 4*o + 2. What is y(3)? -2 Let z(x) = -2. Let q(u) = 7*u + 6. Let c(y) = 6*y + 5. Let d(j) = -6*c(j) + 5*q(j). Let w(m) = -d(m) - z(m). Calculate w(5). 7 Let v(c) be the third derivative of c**4/24 - 2*c**2. Let l = 6 - 10. Give v(l). -4 Let g(y) be the second derivative of 11*y**4/12 + y**3/3 - 3*y**2/2 - y. Let l(u) = 10*u**2 + u - 2. Let x(z) = 3*g(z) - 4*l(z). Determine x(1). -6 Let f(j) = -10*j**2 - j + 1. Let t(x) = 5*x**2 + 7*x + 1. Let i(d) = d**2 - 1. Let c(z) = 6*i(z) - t(z). Let o be c(8). What is f(o)? -10 Let h(x) = -23*x - 9. Let o(d) = 12*d + 5. Let v(f) = -3*h(f) - 5*o(f). Give v(-2). -16 Let b(g) = g**2 - 2*g + 3. Let p be 1/(-4*(-1)/20). Suppose -8 = -f - p. Calculate b(f). 6 Let v(k) = 4*k - 5*k + 1 - 5*k - 5*k. Give v(1). -10 Let p(k) = 3*k - 2. Let i(r) = r - 10. Let c be ((-6)/9)/((-2)/21). Let w be i(c). What is p(w)? -11 Let m(j) be the third derivative of -j**6/360 + j**4/24 + 5*j**2. Let d(i) be the second derivative of m(i). What is d(-2)? 4 Let w be (-2)/((-4)/(-6)*-1). Let o(j) = 4 + 14*j + 13*j - 6 - 24*j. Determine o(w). 7 Let s(l) = 3*l**2 - 7*l - 7. Let t(n) = 7*n**2 - 14*n - 15. Let g(a) = 5*s(a) - 2*t(a). Give g(8). 3 Let h(c) = 2*c**2 - c - 10. Let q(i) = i**2 - 5. Let k(y) = 2*h(y) - 5*q(y). Determine k(4). -19 Let j(m) = m**2 - 1. Let u(a) be the second derivative of a**5/20 - 3*a**4/4 + a**2/2 + 4*a. Let z(g) = -5*j(g) - u(g). Let w = 1 + 3. Determine z(w). 4 Let m(s) be the first derivative of 3*s**4/4 + 2*s**3/3 + 3*s**2 + 3*s + 3. Let h(i) = -2*i**3 - 2*i**2 - 5*i - 3. Let n(y) = -4*h(y) - 3*m(y). Determine n(3). 0 Let h(r) = 82*r - 41*r + 13 - 43*r. Determine h(11). -9 Suppose 11 = 2*p - 5*l, 6 = p - 4*l - 1. Let y(z) = -z**2 + 0*z**3 - 4*z**2 + z**p + 1. Give y(5). 1 Let g(f) = -3*f + 4*f + 6 + 3. Determine g(-4). 5 Let u be (-4)/10 - (-4)/10. Let r(v) be the third derivative of 0*v + 1/3*v**3 + u + 1/6*v**4 - v**2 + 1/60*v**5. Calculate r(-3). -1 Let o(g) = -5*g**3 + 8*g**2 + 6*g + 9. Let u(r) = 14*r**3 - 23*r**2 - 17*r - 26. Let q(f) = 11*o(f) + 4*u(f). Give q(5). 10 Let s(u) = -5*u - 3. Let p(a) = -2*a - 1. Let q(r) = 11*p(r) - 4*s(r). Calculate q(-2). 5 Let d(z) = -z**3 + 6*z**2 - 5*z - 5. Let s(k) = 7. Let c(m) = -m + 14 + 15 + 0. Let o(t) = 2*c(t) - 9*s(t). Let v be o(-5). Determine d(v). -5 Let u(o) = -o**2 - 4*o + 7. Let j be u(-6). Let v(s) = s**2 + 2*s - 2. Give v(j). 13 Let f(q) = 4*q**2 + 2*q + 4. Let p be f(-1). Let y(j) = -j**3 + 6*j**2 + j - 5. What is y(p)? 1 Let k(r) = 2*r**2 - 4*r + 1. Let z = -68 + 71. What is k(z)? 7 Let m = 2 - 0. Let v = m + 0. Let w(c) = -2*c + 9. Let b(g) = -1. Let p(q) = -18*b(q) - 2*w(q). Calculate p(v). 8 Let v(k) = k**2 - 13*k + 4. Let w be v(13). Let z(q) be the first derivative of q**2/2 - 2*q - 2. Give z(w). 2 Suppose -3 = o - 3*c - 2*c, 0 = -5*o - 3*c + 13. Let k(l) = -5*l**3 - 6*l**2 + o*l**3 + 2*l**3 - 7*l + 0*l**3. Give k(-5). 10 Suppose -5*k - 25 = -10. Let b(o) = o**2 - 1. Let q(h) = 4*h**2 + 3*h - 5. Let v(z) = -1. Let c(a) = q(a) + 2*v(a). Let p(n) = 3*b(n) - c(n). Give p(k). 4 Suppose -6*z + 0 = -18. Let l(r) = -r**3 + 3*r**2 - 4*r + 4. Give l(z). -8 Let l(j) = j**2 + 5. Let v = -2 - -7. Suppose 0 + 20 = -5*q - v*x, -4*q - x - 4 = 0. What is l(q)? 5 Let h(q) = q**2 - 2*q + 0*q**2 + 2 - 2*q**2 + 0*q**2. Determine h(-4). -6 Let k(x) = -x**3 - 5*x**2 + 5*x + 1. Let v(i) = -i + 5. Let c be v(11). Give k(c). 7 Let f be (4 + -2)/((-2)/2). Let g be (-2 + 4 + f)/2. Let v(z) = -z. What is v(g)? 0 Suppose -5*i + 23 = 3*a, -i + 6 - 1 = a. Suppose -a = v + 1. Let b(l) = -2*l**3 - l - 2. Determine b(v). 16 Let d(q) = q**2 + 2*q - 2. Let y(u) = -5*u + 32. Let w be y(6). What is d(w)? 6 Let g(a) = 3*a + 21. Let i be g(-7). Let m(b) be the second derivative of -7/2*b**2 + 2*b + i + 1/12*b**4 + 1/6*b**3. What is m(0)? -7 Let z(w) = w**2 - 4*w + 1. Let u be z(-3). Suppose -4*o = u - 2. Let x(k) be the second derivative of -k**4/12 - 5*k**3/6 + 3*k**2 - k. Give x(o). 6 Let d(u) = -u**2 - 6*u + 1. Let t(i) = 2*i + 20. Let o be t(-13). Determine d(o). 1 Let k(l) be the third derivative of 0*l + 0 - 1/24*l**4 - 2/3*l**3 - l**2. Let a = -5 - 0. Give k(a). 1 Let z(k) be the second derivative of -k**4/6 - 5*k**3/6 - 2*k**2 + k. Suppose 2*d + 36 = -2*x, x - 5*x = d + 18. Let b = -21 - d. Give z(b). -7 Let w(m) = 1 + 1886*m - 1886*m + 16*m**2. What is w(-1)? 17 Suppose 0 = -4*v + 3*w + 4, 4*v - 3 - 9 = w. Let l(b) be the third derivative of -1/60*b**5 + 5/6*b**3 + 6*b**2 + 1/24*b**4 + 0*b + 0. Calculate l(v). -7 Let a(v) = -2*v + 2. Let s be a(-2). Let t = s + -4. Let i(d) = -3*d - 5*d**t + d**2 + 5*d**2 - 2. Calculate i(3). -2 Let p(i) be the second derivative of -7*i + 2/3*i**3 - 3/2*i**2 + 0. Give p(2). 5 Let c(q) = 5*q**3 + 8*q**2 + 8*q + 4. Let j(n) = n**3 + 2*n**2 + 2*n + 1. Let h(m) = -2*c(m) + 9*j(m). Calculate h(-1). 2 Suppose -a - 2*o = 6, -4*o = 4*a - 0*a + 4. Let r(p) = p**3 - 5*p**2 + 3*p. Give r(a). -4 Let o(z) = z**3 - 4*z**2 + 5. Let j be o(4). Let p = -3 + 7. Let s(x) = -2 - 3*x**2 - x**3 + 8*x**2 + p - 4. Calculate s(j). -2 Let u be 2/6*(4 - -2). Suppose -3*k + 12 = 0, -5*z + u*k - 12 - 11 = 0. Let f = 2 - z. Let y(s) = s**2 - 5*s - 2. Calculate y(f). -2 Suppose 6*l - 19 = 5. Let a(k) = k**2 + 3. What is a(l)? 19 Let p(o) = -o**3 - 7*o**2 - 2*o - 9. Let d(v) = -3*v**2 + 7*v - 9. Let t be d(2). Give p(t). 5 Suppose -4 = -a, 0 = u + 2*a - a - 6. Suppose -4*v + 4 = -0. Let z(r) = -r - v - 1 + u*r**2 - 1 + r**3. Calculate z(-3). -9 Let m(l) = 2*l + 3. Let c(q) = 4*q + 6. Let a(w) = -4*c(w) + 9*m(w). Let v be (-1)/(1/2) + 0. Determine a(v). -1 Let r(q) be the first derivative of q**4/12 + 4*q**2 + 4. Let s(i) be the second derivative of r(i). Give s(-2). -4 Let a(h) = -h**2 - 8*h - 7. Let q be 4/10 + (-18)/45. Suppose 0 = -4*v + 13 - 1. Suppose -4*b - v*i - 39 = q, 5*b - 3*i + 4*i + 35 = 0. Determine a(b). 5 Let j be -1 - -4 - -1 - 2. Suppose -5 = 5*q + 2*l, j*q - 3 + 5 = -5*l. Let u(b) = -3*b - 1. Determine u(q). 2 Let b = -8 - -4. Let t(i) = i + 1. Let q(n) = -3*n - 8. Let h(o) = q(o) + 4*t(o). Calculate h(b). -8 Suppose 0*r = r - 4. Let f(h) = -h**2 + 4*h. What is f(r)? 0 Suppose k = -5*d + 11 + 6, -2*k + 3*d = 18. Let y(h) = -h**2 - 4. What is y(k)? -13 Let k(v) = 5*v**3 - 2*v**2 + 1. Suppose 3*r + 2*j - 29 = 0, -4*j = -5*r - 0 + 63. Suppose -19 = t + 5*g, 4*t + 5*g = -r - 5. What is k(t)? 4 Suppose -3*j + 2*k - 8 = 0, j = -0*k - 2*k + 8. Let t(y) = y + 3. Let d be t(j). Let v(o) = o - 1. Determine v(d). 2 Let g(v) be the second derivative of v**3 + 2*v - 1/12*v**4 -
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from eeddedwwwdwddwedwwld. 28/1615 Calculate prob of picking 1 p, 1 y, 1 c, and 1 h when four letters picked without replacement from {y: 2, c: 6, h: 3, p: 2}. 72/715 Two letters picked without replacement from {x: 1, g: 1, z: 1, d: 2}. What is prob of picking 1 z and 1 x? 1/10 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from uusurrusussoorbu. 1/15 Four letters picked without replacement from {q: 15, n: 3}. What is prob of picking 2 q and 2 n? 7/68 What is prob of picking 1 f and 1 r when two letters picked without replacement from fnfeeffeerreeene? 1/15 Three letters picked without replacement from {a: 2, b: 14, z: 1}. What is prob of picking 2 a and 1 z? 1/680 What is prob of picking 2 u and 1 j when three letters picked without replacement from {j: 3, x: 3, p: 7, u: 2, t: 5}? 1/380 Two letters picked without replacement from {a: 2, z: 1, y: 10, f: 1}. What is prob of picking 1 a and 1 f? 2/91 What is prob of picking 2 t when two letters picked without replacement from {g: 2, p: 1, x: 1, t: 2, s: 1}? 1/21 Four letters picked without replacement from ijijiiijmjmiimrjmjm. Give prob of picking 4 j. 5/1292 Calculate prob of picking 2 r and 2 z when four letters picked without replacement from {z: 6, b: 1, f: 2, r: 1, d: 5}. 0 What is prob of picking 1 f and 1 h when two letters picked without replacement from hffffhffhhhff? 20/39 Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {b: 1, s: 1, j: 2, k: 3}. 6/35 Three letters picked without replacement from qiiiiqiiqdiqii. What is prob of picking 1 i and 2 q? 27/182 Two letters picked without replacement from xxx. What is prob of picking 2 x? 1 What is prob of picking 1 h and 1 u when two letters picked without replacement from uhe? 1/3 Three letters picked without replacement from vadbdto. What is prob of picking 1 t and 2 d? 1/35 What is prob of picking 1 a and 1 c when two letters picked without replacement from clubbba? 1/21 Two letters picked without replacement from {p: 6, v: 3, a: 6}. What is prob of picking 2 p? 1/7 Calculate prob of picking 2 v and 2 h when four letters picked without replacement from vyzzvhhbhhvbvvzbbzb. 5/323 Calculate prob of picking 2 t when two letters picked without replacement from tflvvvyyyvvt. 1/66 Calculate prob of picking 1 u and 2 m when three letters picked without replacement from guukuukmbbubgrumkr. 1/136 Two letters picked without replacement from {q: 4, a: 3}. What is prob of picking 2 q? 2/7 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from fnnfzlfzfll. 4/55 What is prob of picking 2 e when two letters picked without replacement from {i: 11, e: 5}? 1/12 Three letters picked without replacement from {k: 1, m: 2, i: 1, b: 1, q: 2}. What is prob of picking 1 q, 1 k, and 1 m? 4/35 What is prob of picking 1 q, 2 l, and 1 p when four letters picked without replacement from bbbtttttpqlqbffltf? 1/1530 What is prob of picking 1 p and 2 j when three letters picked without replacement from {j: 3, p: 15}? 15/272 Three letters picked without replacement from {j: 3, g: 1, w: 1, m: 3, s: 3}. What is prob of picking 3 j? 1/165 Two letters picked without replacement from xnvsnqssnnnqvzs. What is prob of picking 1 v and 1 z? 2/105 Calculate prob of picking 1 b and 1 q when two letters picked without replacement from ourxqbb. 2/21 Calculate prob of picking 3 t when three letters picked without replacement from {p: 1, t: 7}. 5/8 What is prob of picking 3 e and 1 j when four letters picked without replacement from eeeeejejjejeeejeeje? 143/323 What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 1, d: 2, n: 1}? 1/6 Two letters picked without replacement from ddgdgggggggdgg. What is prob of picking 2 d? 6/91 What is prob of picking 3 j when three letters picked without replacement from wjjjwwjwww? 1/30 What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmrrmttm? 30/91 Three letters picked without replacement from ypyllyyyylnnyxxllnl. What is prob of picking 2 n and 1 y? 7/323 Three letters picked without replacement from {v: 9}. Give prob of picking 3 v. 1 Two letters picked without replacement from pdpdp. What is prob of picking 2 d? 1/10 Four letters picked without replacement from {i: 8, t: 5, g: 4}. Give prob of picking 2 g and 2 i. 6/85 What is prob of picking 1 l and 1 w when two letters picked without replacement from {m: 5, l: 3, w: 5, g: 4, p: 1}? 5/51 Calculate prob of picking 2 t and 1 l when three letters picked without replacement from {y: 4, t: 2, l: 5}. 1/33 Calculate prob of picking 1 b, 1 c, and 2 o when four letters picked without replacement from booboottccccbco. 10/91 Calculate prob of picking 3 o when three letters picked without replacement from {h: 1, k: 3, o: 4, w: 12}. 1/285 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from jibrkobi. 1/14 Calculate prob of picking 1 i and 2 p when three letters picked without replacement from iplllllpplppilppd. 21/340 Calculate prob of picking 2 w when two letters picked without replacement from wccwww. 2/5 Four letters picked without replacement from {r: 8, b: 4, e: 1}. What is prob of picking 1 r, 1 e, and 2 b? 48/715 Two letters picked without replacement from edkkkdkdded. What is prob of picking 2 e? 1/55 Calculate prob of picking 2 t when two letters picked without replacement from {j: 1, s: 10, b: 1, t: 3}. 1/35 Three letters picked without replacement from lggggccgcgggngcl. What is prob of picking 1 g and 2 c? 27/280 Two letters picked without replacement from pgpkkklkkglklglpkpp. What is prob of picking 2 g? 1/57 Two letters picked without replacement from jjdplpjvgdgg. Give prob of picking 1 v and 1 d. 1/33 Calculate prob of picking 2 j when two letters picked without replacement from mmmmjmmjmmmmm. 1/78 Three letters picked without replacement from {v: 2, g: 1, k: 1, y: 5}. Give prob of picking 1 g and 2 v. 1/84 What is prob of picking 2 s and 1 j when three letters picked without replacement from jjjjsjsssj? 3/10 What is prob of picking 2 x when two letters picked without replacement from xxcccxxcxccccxxc? 7/40 Calculate prob of picking 2 a when two letters picked without replacement from {b: 1, a: 3, j: 5, e: 2, u: 1, h: 3}. 1/35 Four letters picked without replacement from ssssss. What is prob of picking 4 s? 1 Two letters picked without replacement from {h: 1, b: 11, q: 8}. What is prob of picking 2 q? 14/95 Three letters picked without replacement from {l: 2, h: 7, c: 3}. Give prob of picking 3 h. 7/44 Three letters picked without replacement from vvnvvvnnvvn. What is prob of picking 3 n? 4/165 Calculate prob of picking 2 t and 2 s when four letters picked without replacement from tstctstsc. 1/7 What is prob of picking 1 o, 1 j, and 2 k when four letters picked without replacement from {k: 2, j: 3, y: 1, m: 2, o: 6}? 18/1001 Three letters picked without replacement from {w: 1, j: 1, f: 2, l: 1}. What is prob of picking 2 f and 1 l? 1/10 What is prob of picking 1 w, 1 b, and 2 r when four letters picked without replacement from brbrwrwirbiribb? 20/273 Two letters picked without replacement from gccsslfl. Give prob of picking 2 s. 1/28 Three letters picked without replacement from {b: 5, z: 11}. What is prob of picking 2 b and 1 z? 11/56 Four letters picked without replacement from {n: 12, t: 3}. Give prob of picking 3 n and 1 t. 44/91 Two letters picked without replacement from {c: 2, w: 3, e: 1, f: 1}. What is prob of picking 1 w and 1 f? 1/7 Three letters picked without replacement from qvvqvqv. What is prob of picking 3 v? 4/35 Two letters picked without replacement from {w: 9, i: 10}. What is prob of picking 1 w and 1 i? 10/19 What is prob of picking 2 o, 1 e, and 1 u when four letters picked without replacement from {u: 3, n: 2, o: 3, e: 5}? 9/143 Two letters picked without replacement from jdudjijdiddidiu. Give prob of picking 1 u and 1 i. 8/105 Four letters picked without replacement from qqqsqsq. Give prob of picking 4 q. 1/7 Two letters picked without replacement from emmeme. What is prob of picking 1 e and 1 m? 3/5 Two letters picked without
{ "pile_set_name": "DM Mathematics" }