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root of 15073 to the nearest integer? 25 What is the fifth root of 9046 to the nearest integer? 6 What is 506 to the power of 1/2, to the nearest integer? 22 What is 452 to the power of 1/2, to the nearest integer? 21 What is the cube root of 125085 to the nearest integer? 50 What is the cube root of 14883 to the nearest integer? 25 What is 3504 to the power of 1/3, to the nearest integer? 15 What is 40513 to the power of 1/3, to the nearest integer? 34 What is 46697 to the power of 1/2, to the nearest integer? 216 What is 48972 to the power of 1/2, to the nearest integer? 221 What is 11474 to the power of 1/2, to the nearest integer? 107 What is 14264 to the power of 1/4, to the nearest integer? 11 What is 13033 to the power of 1/10, to the nearest integer? 3 What is the square root of 8369 to the nearest integer? 91 What is 698 to the power of 1/2, to the nearest integer? 26 What is the cube root of 11372 to the nearest integer? 22 What is 1221 to the power of 1/3, to the nearest integer? 11 What is 5240 to the power of 1/2, to the nearest integer? 72 What is the cube root of 21956 to the nearest integer? 28 What is the cube root of 20036 to the nearest integer? 27 What is 3276 to the power of 1/3, to the nearest integer? 15 What is the cube root of 12535 to the nearest integer? 23 What is 2139 to the power of 1/2, to the nearest integer? 46 What is 318 to the power of 1/7, to the nearest integer? 2 What is 38 to the power of 1/9, to the nearest integer? 1 What is the third root of 13608 to the nearest integer? 24 What is 106378 to the power of 1/3, to the nearest integer? 47 What is 59316 to the power of 1/2, to the nearest integer? 244 What is the third root of 1926 to the nearest integer? 12 What is the third root of 1439 to the nearest integer? 11 What is the seventh root of 96761 to the nearest integer? 5 What is 5653 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 8746 to the nearest integer? 3 What is the cube root of 293 to the nearest integer? 7 What is the square root of 18754 to the nearest integer? 137 What is 1517 to the power of 1/3, to the nearest integer? 11 What is the square root of 12347 to the nearest integer? 111 What is 349 to the power of 1/2, to the nearest integer? 19 What is the third root of 805 to the nearest integer? 9 What is the cube root of 53388 to the nearest integer? 38 What is the ninth root of 12722 to the nearest integer? 3 What is the cube root of 149 to the nearest integer? 5 What is the square root of 10479 to the nearest integer? 102 What is 399 to the power of 1/9, to the nearest integer? 2 What is the square root of 1762 to the nearest integer? 42 What is 1392 to the power of 1/4, to the nearest integer? 6 What is 1420 to the power of 1/10, to the nearest integer? 2 What is 83666 to the power of 1/3, to the nearest integer? 44 What is the cube root of 19 to the nearest integer? 3 What is 3341 to the power of 1/3, to the nearest integer? 15 What is 1564 to the power of 1/6, to the nearest integer? 3 What is 247 to the power of 1/6, to the nearest integer? 3 What is the square root of 7680 to the nearest integer? 88 What is the cube root of 30572 to the nearest integer? 31 What is the cube root of 41031 to the nearest integer? 34 What is the seventh root of 26245 to the nearest integer? 4 What is 18059 to the power of 1/2, to the nearest integer? 134 What is 16127 to the power of 1/9, to the nearest integer? 3 What is the ninth root of 3036 to the nearest integer? 2 What is the square root of 10576 to the nearest integer? 103 What is 59502 to the power of 1/3, to the nearest integer? 39 What is 3380 to the power of 1/2, to the nearest integer? 58 What is the cube root of 1078 to the nearest integer? 10 What is the third root of 35734 to the nearest integer? 33 What is the tenth root of 15767 to the nearest integer? 3 What is the square root of 1423 to the nearest integer? 38 What is the third root of 3522 to the nearest integer? 15 What is 1669 to the power of 1/3, to the nearest integer? 12 What is 85 to the power of 1/2, to the nearest integer? 9 What is the sixth root of 7187 to the nearest integer? 4 What is 4243 to the power of 1/6, to the nearest integer? 4 What is 5797 to the power of 1/2, to the nearest integer? 76 What is the third root of 370 to the nearest integer? 7 What is the cube root of 4697 to the nearest integer? 17 What is the third root of 24953 to the nearest integer? 29 What is 16675 to the power of 1/7, to the nearest integer? 4 What is 148080 to the power of 1/4, to the nearest integer? 20 What is the third root of 14850 to the nearest integer? 25 What is 68560 to the power of 1/3, to the nearest integer? 41 What is 8859 to the power of 1/3, to the nearest integer? 21 What is 1161 to the power of 1/2, to the nearest integer? 34 What is the cube root of 1242 to the nearest integer? 11 What is 2017 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 1220 to the nearest integer? 3 What is the sixth root of 6489 to the nearest integer? 4 What is 8640 to the power of 1/5, to the nearest integer? 6 What is 7344 to the power of 1/9, to the nearest integer? 3 What is the square root of 4685 to the nearest integer? 68 What is the third root of 897 to the nearest integer? 10 What is 21529 to the power of 1/2, to the nearest integer? 147 What is the fifth root of 30984 to the nearest integer? 8 What is the square root of 874 to the nearest integer? 30 What is 9088 to the power of 1/6, to the nearest integer? 5 What is the sixth root of 3654 to the nearest integer? 4 What is 52265 to the power of 1/4, to the nearest integer? 15 What is the square root of 17895 to the nearest integer? 134 What is 110670 to the power of 1/4, to the nearest integer? 18 What is 8602 to the power of 1/2, to the nearest integer? 93 What is the cube root of 105452 to the nearest integer? 47 What is 26886 to the power of 1/3, to the nearest integer? 30 What is 2313 to the power of 1/2, to the nearest integer? 48 What is 1212 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 18895 to the nearest integer? 12 What is 34148 to the power of 1/4, to the nearest integer? 14 What is 37333 to the power of 1/3, to the nearest integer? 33 What is 613 to the power of 1/6, to the nearest integer? 3 What is 1377 to the power of 1/2, to the nearest integer? 37 What is 18144 to the power of 1/10, to the nearest integer? 3 What is 6195 to the power of 1/2, to the nearest integer? 79 What is 22082 to the power of 1/6, to the nearest integer? 5 What is the fourth root of 98981 to the nearest integer? 18 What is 433 to the power of 1/7, to the nearest integer? 2 What is 1845 to the power of 1/5, to the nearest integer? 4 What is the square root of 10184 to the nearest integer? 101 What is the seventh root of 662 to the nearest integer? 3 What is the square root of 121466 to the nearest integer? 349 What is 14228 to the power of 1/3, to the nearest integer? 24 What is the square root of 8773 to the nearest integer? 94 What is the square root of 15859 to the nearest integer? 126 What is the square root of 6714 to the nearest integer? 82 What is the square root of 27174 to the nearest integer? 165 What is 3636 to the power of 1/2, to the nearest integer? 60 What is 3264 to the power of 1/3, to the nearest integer? 15 What is 1825 to the power of 1/10, to the nearest integer? 2 What is 5238 to the power of 1/2, to the nearest integer? 72 What is 1321 to the power of 1/7, to the nearest integer? 3 What is the square root of 693 to the nearest integer? 26 What is 1463 to the power of 1/2, to the nearest integer? 38 What is the third root of 351 to the nearest integer? 7 What is 12933 to the power of 1/5, to the nearest integer? 7 What is the third root of 11361 to the nearest integer? 22 What is the fifth root of 847 to the nearest integer? 4 What is the cube root of 170 to the nearest integer? 6 What is 541 to the power of 1/2, to the nearest integer? 23 What is the sixth root of 1419 to the nearest integer? 3 What is the cube root of 4079 to the nearest integer? 16 What is the square root of 17914 to the nearest integer? 134 What is 2206 to the power of 1/9,
{ "pile_set_name": "DM Mathematics" }
*w**2 Expand (2*z**2 + 3*z**2 - 4*z**2)*(-9*z**2 - 37*z + 37*z)*(36 - 36 + 23*z). -207*z**5 Expand (403*i - 6 - 6*i**2 - 403*i)*(-1 - i + 1) + 19*i**3 - 5 + 5 + (3 - 3 + 2*i**2)*(3*i - 3*i + i). 27*i**3 + 6*i Expand 120 - 120 - 21*f**3 + (-2*f**2 - 3*f**2 + 3*f**2)*(91*f - 117 + 117) + f**3 + 3*f**3 - 3*f**3. -202*f**3 Expand (1208*m + 1805 - 1805)*(10*m - 6*m + m). 6040*m**2 Expand 2 - 2 + 3*b + (34*b + 59*b - 40*b)*(4 - 4 - 1). -50*b Expand (-70*z**2 - 174*z**2 - 155*z**2)*(-5*z + 3*z + z) + (2*z + 0*z + 0*z)*(4*z**2 - 6*z**2 - z**2). 393*z**3 Expand (-u + 3*u + 2*u + (-3 + 3 + 2*u)*(1 + 3 + 0))*(-3*u**3 + u**3 + 0*u**3) + 1294*u**4 + 1271*u - 1271*u. 1270*u**4 Expand ((0 + 1 - 4)*(51*z - 43 + 43) - z + 3*z + z)*(-2*z**4 + 6*z**4 - 3*z**4). -150*z**5 Expand -47*k**4 + 9*k**5 + 47*k**4 + 19*k**5 + 24*k**5 + 29*k**5 + (3*k - 2*k + 0*k)*(-k**4 + 3*k**4 - k**4). 82*k**5 Expand (-o - 2*o + 6*o)*(0*o**3 + 7*o**3 - 3*o**3) + 180*o**4 - 19*o**4 + 15*o**4. 188*o**4 Expand -14*a**4 - 5*a**5 + 14*a**4 - 4*a**5 + 3*a**3 - 3*a**3 + (a**3 + 0*a**3 + 0*a**3)*(-2 + a**2 + 2) + 2*a**5 - 16*a**5 - 19*a**5. -41*a**5 Expand w - w - 3*w + (10*w - w - w)*(2 - 1 - 3)*(1 + 23 + 32). -899*w Expand (1 + 1 + 6)*(-2*y - 4*y + 3*y)*(35*y**2 - 937*y + 937*y + (y**2 - y**2 - 2*y**2)*(3 - 3 + 2)). -744*y**3 Expand (0*k**2 + 4*k**2 - 2*k**2)*(k - 34 + 27 + 16 - 14*k**3) + (-2*k**3 + 3*k**3 - 2*k**3)*(3*k**2 - 2*k**2 - 3*k**2) + 0*k + 2*k**5 + 0*k. -24*k**5 + 2*k**3 + 18*k**2 Expand (-2*f + 3*f + f)*(-f**2 - 2*f**2 + f**2) + 951*f**3 - 1382*f**3 - 6829*f**3. -7264*f**3 Expand 0*b**5 - 2*b**5 - b**5 - 128*b**3 + 397*b**5 + 128*b**3 + (4*b - b - 5*b)*(3 - 3 + 8*b**4). 378*b**5 Expand (5*n - 3*n - 5*n)*(242*n**2 + 2 + 236*n**2 - 3*n - 458*n**2). -60*n**3 + 9*n**2 - 6*n Expand ((-6*l + 4*l**2 + 6*l)*(-1 + 2 + 1) + (-l + 0*l + 0*l)*(4*l - l - 4*l))*(-2*l**3 + 303 + l**3 - 353). -9*l**5 - 450*l**2 Expand (-3*r + 10*r + 2*r)*(7017 - 120*r**2 - 7017). -1080*r**3 Expand -526*a**3 + 253*a**3 + 247*a**3 + 7*a**2 + 2*a**3 + 4*a**3 - 4*a**3 + (-2*a**2 + 0*a**2 + 0*a**2)*(0 + 0 - a) + 3*a**3 - 3*a**3 - a**3. -23*a**3 + 7*a**2 Expand (1 + 0 + 0)*(-367*p**3 + 1092*p**3 - 95*p**3) - 3 + 3 + 4*p**3. 634*p**3 Expand (0*p - 2*p + 4*p)*((0*p + 0*p - 2*p)*(3 - 4 + 9) - 6*p + p + 62*p). 82*p**2 Expand -6595 + 6595 + 19*v + (3 - 4 + 0)*(-v + v + v) + v - 4*v - 4*v. 11*v Expand (-m**2 + m**2 - m**2)*(61*m**2 - 61*m**2 + 20*m**3) - 176*m**3 + 6*m**5 + 176*m**3 + m. -14*m**5 + m Expand (-1 + 1 - 1)*(23*o + 4*o + 36*o)*(0 + 2*o + 0)*(-3*o**2 + 4 - 4). 378*o**4 Expand -2*d**4 + 149*d**3 - 1 - 149*d**3 - 2*d**2 + (6*d**3 - 4*d**3 - 4*d**3)*(26*d + 5323 - 5323). -54*d**4 - 2*d**2 - 1 Expand -3*m**5 + 5*m**5 - m**5 + (31 - 51 - 87)*(4*m**5 - 13*m**5 - 7*m**5). 1713*m**5 Expand (-3*f - 45 - 6*f + 46)*(-4*f - 7*f + 8*f)*(-2*f + 2*f + 2*f). 54*f**3 - 6*f**2 Expand (4*i + 2*i - 5*i)*(-i**2 - 4*i**2 + i**2) + 224 - 224 - 323*i**3 + 2*i**3 - i**2 + i**2. -325*i**3 Expand (363 - 203*k - 363)*(3 + 9*k - 22*k + 15*k). -406*k**2 - 609*k Expand (-1 - 2 + 4)*(2*h + 0 - 4 + 2)*(30207 - 60117 + 26314). -7192*h + 7192 Expand b**2 - 3*b**2 + 3*b**2 + (-28*b + 5 - 8 + 4)*(-15*b - 682 + 682). 421*b**2 - 15*b Expand (-l - l - l)*(2*l - 139 + 128 + 118). -6*l**2 - 321*l Expand (-3*i + 6*i - 2*i + (1 - 3 + 4)*(3*i - 3*i - 2*i))*(6 - 81 - 96)*(-5*i - i + 5*i) + (3*i - 2*i + i)*(i + 0 + 0). -511*i**2 Expand (-1438*c + 46*c**2 + 1438*c)*(-2350 + 2350 + 20*c**2). 920*c**4 Expand -x**3 + x**5 + x**3 + (-16 + 16 - 7*x)*(-7 - 5*x**4 + 7) - 77*x**4 - 13*x**5 + 77*x**4. 23*x**5 Expand (50 - 25 + 40)*(7*m + 0*m - 3*m) + 3*m - 4*m - m + (4 + 2 + 1)*(2*m + 0*m - 3*m). 251*m Expand (2*q**2 - 3*q**2 + 69073*q**3 - 68635*q**3 + 2 - q)*(-q + 3*q - q). 438*q**4 - q**3 - q**2 + 2*q Expand 443*s**2 + 2*s**3 + 1199*s**2 + 765*s**2 + (2*s**2 + 0*s**2 - s**2)*(2*s - s + s). 4*s**3 + 2407*s**2 Expand (p**2 + 0*p**2 - 3*p**2)*(2 - p - 2)*(-753 + 201 + 315). -474*p**3 Expand 114 - 2*s**2 + 20 + 36 + s + (-2*s**2 + 2*s**2 + 2*s**2)*(1 - 12 - 9). -42*s**2 + s + 170 Expand -23 + 23 - 9*j**3 + (1 + j**2 - 1)*(-1 + 1 + j) + 575*j**3 - 1037*j**3 + 3428*j**3. 2958*j**3 Expand -2*p + p + 3*p + (p - p - p)*(-15 - 5 + 6) + 0*p - p + 5*p. 20*p Expand (-6 + 3 + 4)*(-124*z**2 + 124*z**2 + 339*z**3 + (z + z - 4*z)*(-z**2 + 4 - 4)). 341*z**3 Expand (s - 2*s + 0*s + (-42 + 42 + 9*s)*(-1 - 2 + 2))*(-18 + s + 41 + 7). -10*s**2 - 300*s Expand -76*f + 21*f - f**3 - 12273*f**2 + 12273*f**2 - f**3 + 2*f**3 - 2*f**3 + (-1 + 5 - 2)*(3*f + f**3 - 3*f) + 0*f**3 + 4*f**3 - 2*f**3. 2*f**3 - 55*f Expand -55 - 3*s**4 + 55 + (-234*s + 129*s + 128*s)*(2*s**3 + 1 + 1 + s**3). 66*s**4 + 46*s Expand (3*l + 2 + 4*l - 6*l)*(1382*l - 278 - 2766*l + 1381*l). -3*l**2 - 284*l - 556 Expand (q - 41*q + 4*q)*(2 + 0 + 8)*(0 + 0 - 13*q + 27*q). -5040*q**2 Expand (223 - 77 + 6)*(8*f**5 + 24*f**5 + 6*f**5). 5776*f**5 Expand -59 - 79 + 138 - 1345*b**2 + (b - b + b)*(2*b + 0*b + 0*b) + b**2 + 3*b**2 - 2*b**2 + 3*b**2 - 2*b**2 + b**2. -1339*b**2 Expand (4 - 4 - 16)*(f + 0*f - 2*f - 3*f - 3*f + 7*f - f + 0 + 0 + (8 - 8 + 2*f)*(0 + 3 - 1)). -48*f Expand 370*i + 390*i - 735*i - i**3 - i**3 + 4*i - 4*i + (2*i - 3*i + 3*i)*(2*i**2 + 0*i**2 - 4*i**2) - 3*i**3 - i**3 + 5*i**3. -5*i**3 + 25*i Expand (6*s**2 + 7*s - 7*s)*(-s**2 - 2*s + 2*s) + (-21*s**3 + 7*s**3 + 9*s**3)*(-5*s + 4*s - s). 4*s**4 Expand (1 - 6 + 3)*(-13*o + 16 + 20 - 38). 26*o + 4 Expand (-1 + 736*t - 395*t + 2415*t)*(-1 + t + 1). 2756*t**2 - t Expand (5*l - 4*l + 0*l)*(-32484*l + 124277 - 124277). -32484*l**2 Expand (11202 - 25*x - 11202)*(x + x - x) + 6 - x**2 - 6. -26*x**2 Expand -14983*v**3 + 14983*v**3 - 1634*v**4 - 2*v**4 - v**4 + 2*v**4 + (2*v - 5 + 5)*(-2*v**3 - 3*v**2 + 3*v**2). -1639*v**4 Expand (7 - 2 - 3)*(9*q - 5 - 1 + 5) + (5 + 32 - 10)*(1 + 3*q - 1). 99*q - 2 Expand m**3 - 1 + 2 + 0*m**3 - 2*m**3 + 5*m - 5*m + (3*m - 3*m + 2*m)*(5*m**2 + 57*m**2 + 32*m**2). 187*m**3 + 1 Expand (-9 - 11 + 25)*((-l - l + 3*l)*(2877*l + 34*l**2 - 2877*l) + 0*l**3 - l**3 + 3*l**3) - 6 - l**3 + 6. 179*l**3 Expand (2*w**2 - 5*w**2 + 2*w**2)*(9 + 0 + 0)*(-8*w + 11*w - 84*w). 729*w**3 Expand (-4 - 7 + 0)*(-3*z - 3*z - z)*((4 - 2 + 0)*(2 - 2 + 2*z) - 28*z + 48*z + 6*z)*(0 - 2*z + 0). -4620*z**3 Expand (-c + 5*c - 3*c)*(-1 - 4 + 6) + 1 + 9443*c + 1 - 7550*c. 1894*c + 2 Expand (7*q**2 + 6*q**3 - 7*q**2)*(-1 - 3 + 2) + 5*q**3 - q**3 - q**3 + (q + 2*q**2 - q)*(-2*q + 5*q - 2*q) - q + q**3 + q + 11*q**3 - 10*q + 10*q. 5*q**3 Expand (-18 - 16 - 2*h + 10)*(144 + 340 - 63). -842*h - 10104 Expand (34 - 34 + 4*g)*(-33*g + 199*g + 87*g) + (-g + 2*g + g)*(-5 + 2*g + 5). 1016*g**2 Expand (4 - 2*p - 4)*(0*p - p - p) + (-1 + 2 - 2)*(-2*p**2 - 3*p**2 + 3*p**2) + 961*p**2 + 1979*p**2 + 1140*p**2. 4086*p**2 Expand (1347 - 2681 - 685 - 5732 - 4263)*(7*w - 3*w - 2*w). -24028*w Expand (-2*g + 3*g + 0*g)*(-g**2 + 2*g - 2*g) - 11*g**3 + 2*g**3 + g**3 + (3*g**2 - 93 + 93)*(-3*g - g + 6*g) + (7*g + 7*g - 26*g)*(-g**2 + 1 - 1). 9*g**3 Expand (-4 + 3 + 3 + 3 + 2 - 3 + (2 + 0 - 1)*(-1 - 3 + 2) + 3 + 1 - 2 + 7 - 2 + 8)*((1 + 1 - 1)*(2 - 2 + 2*m) + 2 - 2 + m). 51*m Expand (0*p**3 - 2*p**3 + 4*p**3)*(3*p**2 - 2*p**2 + 0 + 1)*(-2386 + 1063 - 1576). -5798*p**5 - 5798*p**3 Expand -2 + 2 - 3*v + (-3*v + v + v)*(-4953 + 1480 + 734). 2736*v Expand (-6 + 4 + 4)*(-3*d**4 - d**4 + 0*d**4) - 667*d**4 - 659*d**4 - 17*d + 12*d. -1334*d**4 - 5*d Expand -1240*y**4 + 1519 - 1519 + (2*y**4 + y**4 + 0*y**4)*(5 - 5 - 2). -1246*y**4 Expand -16*h + 67 - 25 + 35 + (h + 3 - 3)*(4 - 1 - 2). -15*h + 77 Expand (40*g + 34 - 34)*(-3*g**2 - 2*g**2 + 3*g**2)*(5*g**2 - 2*g**2 + 2*g**2) + 401*g**3 + 2*g - 6*g**5 - 401*g**3. -406*g**5 + 2*g Expand (-4 + 0 + 3 + (-1 + 3 - 4)*(1 - 1 - 2))*(3*h - 3*h - 18*h**3)*(-4 + 0 + 0)*(3 + 5 - 24)*(0 - 7 + 3). 13824*h**3 Expand (1 + 368*r**2 + 2 - 397*r**2 + r)*(24*r**3 - 2*r**3 + 8*r**3). -870*r**5 + 30*r**4 + 90*r**3 Expand ((3 - 4 - 2)*(-2*i + 2*i - i) - 1790*i + 1359*i - 1670*i)*(2*i**4 + 0*i**4 + 0*i**4). -4196*i**5 Expand (4 - 4 - 1)*(-31*v - 30*v - 11*v) + v + 5 - 5 + v - 2*v + 2*v + (2 - 5 + 2)*(-v - 5*v + 4*v). 76*v Expand (-2*j**2 - j**2 + 6*j**2)*(1 + j - 1) + 63864*j**3 + 2 - 17 - 63863*j**3. 4*j**3 - 15 Expand (10*h**3 - 10*h**3 - 4*h**3)*((5*h + 3*h - 6*h)*(6*h
{ "pile_set_name": "DM Mathematics" }
484 What is 5.85869 litres in millilitres? 5858.69 Convert 500.535ug to grams. 0.000500535 How many micrograms are there in 7/8 of a milligram? 875 Convert 99.6147 millilitres to litres. 0.0996147 How many nanoseconds are there in 53.83149ms? 53831490 What is seventy-three quarters of a millimeter in micrometers? 18250 Convert 57.596724 milliseconds to hours. 0.00001599909 Convert 49155913.8 milliseconds to weeks. 0.0812763125 How many months are there in 7/6 of a millennium? 14000 How many grams are there in 3/32 of a tonne? 93750 What is fifty-seven halves of a tonne in kilograms? 28500 What is twenty-seven fifths of a millennium in decades? 540 What is seventy-one quarters of a decade in months? 2130 What is 4/3 of a minute in milliseconds? 80000 What is 42/5 of a millennium in centuries? 84 How many litres are there in 933.0921ml? 0.9330921 How many grams are there in twenty-one halves of a kilogram? 10500 What is twenty-seven fifths of a minute in seconds? 324 What is 11.014929ns in hours? 0.0000000000030597025 Convert 5613.551mm to kilometers. 0.005613551 What is 6944135.4 milliseconds in days? 0.0803719375 Convert 266.599782ms to days. 0.000003085645625 Convert 69.85601 years to millennia. 0.06985601 How many seconds are there in 7167.101 weeks? 4334662684.8 How many hours are there in 1/6 of a day? 4 What is 0.1394818 centuries in millennia? 0.01394818 What is 3/8 of a litre in millilitres? 375 How many grams are there in 4.935554ug? 0.000004935554 What is 870220.7 litres in millilitres? 870220700 How many months are there in twenty-one eighths of a millennium? 31500 Convert 10461.41 years to months. 125536.92 How many milligrams are there in 854285.1 grams? 854285100 What is 74/5 of a century in decades? 148 Convert 5.919866 decades to millennia. 0.05919866 Convert 14.34322ml to litres. 0.01434322 What is 0.11502 months in years? 0.009585 What is 88.99194kg in milligrams? 88991940 How many nanoseconds are there in 710890.2us? 710890200 How many minutes are there in 29/2 of a hour? 870 Convert 818904.8 decades to millennia. 8189.048 Convert 8555.966um to kilometers. 0.000008555966 What is three tenths of a day in seconds? 25920 Convert 206.792 millilitres to litres. 0.206792 What is eleven halves of a micrometer in nanometers? 5500 What is twenty-six fifths of a litre in millilitres? 5200 What is 799643.2um in centimeters? 79.96432 What is 4.339065 decades in millennia? 0.04339065 Convert 609.965 decades to centuries. 60.9965 What is 63.05521kg in milligrams? 63055210 How many grams are there in 183.979 kilograms? 183979 What is 8569.455ns in microseconds? 8.569455 What is 3/32 of a tonne in grams? 93750 How many millennia are there in 23.38074 months? 0.001948395 How many microseconds are there in 49/5 of a millisecond? 9800 How many seconds are there in 588.5014 days? 50846520.96 Convert 16.16594 weeks to milliseconds. 9777160512 How many years are there in 3/5 of a century? 60 Convert 51012.9 weeks to hours. 8570167.2 What is one fifth of a meter in millimeters? 200 How many nanoseconds are there in 53.04413 hours? 190958868000000 How many nanoseconds are there in 7554.699 hours? 27196916400000000 What is 61.60731nm in micrometers? 0.06160731 How many minutes are there in three fifths of a day? 864 What is 13/5 of a kilometer in meters? 2600 What is 6390.536 nanograms in tonnes? 0.000000000006390536 What is 6328.018 centuries in months? 7593621.6 How many nanometers are there in twenty-seven quarters of a micrometer? 6750 What is 1/20 of a kilometer in centimeters? 5000 How many decades are there in 30120.93 centuries? 301209.3 How many microseconds are there in nine tenths of a millisecond? 900 What is 14790068.1ns in days? 0.00000017118134375 What is seven quarters of a millennium in years? 1750 Convert 51686.35 grams to milligrams. 51686350 How many months are there in 11/2 of a century? 6600 What is 40.63422ns in milliseconds? 0.00004063422 What is 11/2 of a micrometer in nanometers? 5500 Convert 78.17732 milligrams to micrograms. 78177.32 What is 11042.12ug in grams? 0.01104212 What is 3/50 of a kilogram in grams? 60 Convert 48375.23t to nanograms. 48375230000000000000 How many grams are there in 7/4 of a kilogram? 1750 Convert 339830.5ml to litres. 339.8305 What is 5457.469 litres in millilitres? 5457469 How many centimeters are there in six fifths of a meter? 120 How many microseconds are there in eleven halves of a millisecond? 5500 Convert 7.103953 nanometers to centimeters. 0.0000007103953 What is 26/5 of a millennium in months? 62400 What is three fifths of a millennium in years? 600 What is 100.84098 months in centuries? 0.08403415 Convert 96741.14l to millilitres. 96741140 What is 2.9121072 milliseconds in minutes? 0.00004853512 How many micrometers are there in twenty-one quarters of a millimeter? 5250 What is 0.6997625um in meters? 0.0000006997625 Convert 802.5976 hours to microseconds. 2889351360000 How many decades are there in 22017.14 millennia? 2201714 What is 13933.587 months in millennia? 1.16113225 How many micrograms are there in 469.6862 nanograms? 0.4696862 What is 15868607.4 milliseconds in days? 0.1836644375 How many centimeters are there in 53/5 of a meter? 1060 What is 1/10 of a milligram in micrograms? 100 How many millilitres are there in one quarter of a litre? 250 Convert 8.807231 years to months. 105.686772 How many months are there in 48/5 of a century? 11520 What is 29/5 of a kilometer in meters? 5800 What is 939.4335km in centimeters? 93943350 How many micrograms are there in 7/8 of a milligram? 875 How many millimeters are there in 7.333321 centimeters? 73.33321 How many centuries are there in 287.2 decades? 28.72 How many millilitres are there in 7/2 of a litre? 3500 What is 1818.69ml in litres? 1.81869 How many kilometers are there in 47749.62mm? 0.04774962 What is 3/5 of a litre in millilitres? 600 How many decades are there in 1.318917 years? 0.1318917 How many meters are there in 4394.653km? 4394653 Convert 358039.3 millennia to months. 4296471600 How many seconds are there in 728082.8 minutes? 43684968 What is one fifth of a minute in seconds? 12 What is fourty-six fifths of a centimeter in millimeters? 92 How many milligrams are there in 5488.358 grams? 5488358 What is 0.8513044 years in months? 10.2156528 How many micrometers are there in 3/40 of a millimeter? 75 What is thirty-two fifths of a meter in centimeters? 640 How many decades are there in 3/5 of a century? 6 How many months are there in 4.401321 millennia? 52815.852 How many months are there in 21/5 of a century? 5040 What is 11/8 of a kilometer in meters? 1375 What is 810103.7 nanometers in millimeters? 0.8101037 How many milliseconds are there in 29.60306 microseconds? 0.02960306 How many millilitres are there in 1/4 of a litre? 250 How many months are there in 681.5749 centuries? 817889.88 How many millilitres are there in 4254.033 litres? 4254033 How many hours are there in 31/2 of a day? 372 Convert 24.26849ml to litres. 0.02426849 How many nanoseconds are there in 6633.9 seconds? 6633900000000 Convert 8764.012ml to litres. 8.764012 Convert 919.339 nanometers to centimeters. 0.0000919339 What is 0.7436984g in tonnes? 0.0000007436984 What is 18/5 of a litre in millilitres? 3600 How many days are there in 1086587.73ms? 0.012576246875 What is 2.294001 centuries in months? 2752.8012 What is 1/10 of a litre in millilitres? 100 What is fifteen quarters of a micrometer in nanometers? 3750 How many nanometers are there in 94.84255um? 94842.55 What is 212678.4mm in nanometers? 212678400000 How many nanograms are there in 7/8 of a microgram? 875 Convert 550.663l to millilitres. 550663 How many micrometers are there in 84.24211m? 84242110 What is 567224.3 decades in millennia? 5672.243 How many micrometers are there in seven quarters of a millimeter? 1750 How many millimeters are there in 0.0684412um? 0.0000684412 How many nanograms are there in 74/5 of a microgram? 14800 What is 31/2 of a microsecond in nanoseconds? 15500 How many microseconds are there in one twentieth of a millisecond? 50 What is 4466.0619 nanoseconds in days? 0.00000000005169053125 What is three tenths of a kilogram in grams? 300 What is 5/4 of a century in
{ "pile_set_name": "DM Mathematics" }
5641645? 3, 5, 1709443 List the prime factors of 282193012. 2, 67, 89, 11831 List the prime factors of 21988992. 2, 3, 173, 331 What are the prime factors of 2268873368? 2, 107, 109, 24317 What are the prime factors of 69324529? 29, 283, 8447 What are the prime factors of 5084006513? 5084006513 List the prime factors of 25373899. 23, 1103213 List the prime factors of 1441154611. 13, 110858047 List the prime factors of 372208345. 5, 37, 439, 4583 What are the prime factors of 441991794? 2, 3, 19, 204059 What are the prime factors of 680033708? 2, 41, 4146547 List the prime factors of 581783476. 2, 283, 513943 List the prime factors of 10054477. 19, 529183 What are the prime factors of 1730207990? 2, 5, 7, 24717257 List the prime factors of 146235194. 2, 7, 10445371 List the prime factors of 417736143. 3, 11, 23, 61153 What are the prime factors of 142285116? 2, 3, 11857093 What are the prime factors of 2281794557? 7, 23, 3079, 4603 List the prime factors of 59173096. 2, 521, 14197 What are the prime factors of 97985754? 2, 3, 79, 103, 223 List the prime factors of 50617965. 3, 5, 83, 109, 373 What are the prime factors of 208570089? 3, 7, 13, 113, 6761 List the prime factors of 574381948. 2, 7, 20513641 List the prime factors of 4270900396. 2, 7, 8539, 17863 List the prime factors of 3237466863. 3, 1079155621 List the prime factors of 32502015. 3, 5, 7, 13, 7937 List the prime factors of 451270559. 17, 41, 409, 1583 List the prime factors of 209228395. 5, 353, 118543 What are the prime factors of 9706179? 3, 7, 462199 What are the prime factors of 61158996? 2, 3, 17, 33311 What are the prime factors of 23613221? 17, 29, 211, 227 List the prime factors of 107345162. 2, 109, 492409 List the prime factors of 67665673. 67665673 List the prime factors of 86942454. 2, 3, 17, 599, 1423 List the prime factors of 295242675. 3, 5, 7, 13, 181, 239 What are the prime factors of 57249827? 57249827 What are the prime factors of 813680? 2, 5, 7, 1453 List the prime factors of 1054642088. 2, 1741, 75721 List the prime factors of 69637790. 2, 5, 23, 67, 4519 What are the prime factors of 1292483212? 2, 323120803 What are the prime factors of 423996332? 2, 105999083 List the prime factors of 689368652. 2, 7, 167, 21061 List the prime factors of 22116957. 3, 7372319 List the prime factors of 1593020770. 2, 5, 11, 1213, 11939 What are the prime factors of 63952366? 2, 19, 29, 131, 443 List the prime factors of 135221483. 135221483 What are the prime factors of 1341409960? 2, 5, 11, 3048659 What are the prime factors of 32523388? 2, 1307, 6221 What are the prime factors of 18397248? 2, 3, 95819 What are the prime factors of 607148076? 2, 3, 4493, 11261 List the prime factors of 188713405. 5, 37742681 List the prime factors of 336214374. 2, 3, 56035729 List the prime factors of 1147618217. 773, 1484629 List the prime factors of 1357591965. 3, 5, 1601, 56531 What are the prime factors of 72055553? 1789, 40277 List the prime factors of 76801405. 5, 41, 374641 List the prime factors of 29200013. 29, 1006897 What are the prime factors of 218696806? 2, 17, 79, 81421 List the prime factors of 267117195. 3, 5, 127, 281, 499 List the prime factors of 585200945. 5, 7, 17, 983531 List the prime factors of 21936895. 5, 4387379 List the prime factors of 212725019. 13, 16363463 List the prime factors of 549122291. 37, 47, 337, 937 What are the prime factors of 1458236973? 3, 486078991 What are the prime factors of 1489789845? 3, 5, 163, 197, 1031 List the prime factors of 1948494288. 2, 3, 13, 401, 599 What are the prime factors of 130790977? 130790977 List the prime factors of 44648681. 7, 11, 17, 23, 1483 What are the prime factors of 40838869? 23, 1217, 1459 List the prime factors of 5333830017. 3, 29, 61308391 What are the prime factors of 76700426? 2, 11, 179, 19477 What are the prime factors of 2944600385? 5, 97, 587, 10343 What are the prime factors of 1673472114? 2, 3, 92970673 What are the prime factors of 793682232? 2, 3, 7, 47, 100517 List the prime factors of 144892338. 2, 3, 107, 225689 List the prime factors of 1860779624. 2, 11, 61, 31513 List the prime factors of 355913423. 193, 1844111 List the prime factors of 52409836. 2, 13102459 List the prime factors of 5004766822. 2, 11, 7229, 31469 What are the prime factors of 15243270? 2, 3, 5, 7, 29, 2503 What are the prime factors of 2701515331? 6977, 387203 What are the prime factors of 512136778? 2, 13127, 19507 List the prime factors of 52309370. 2, 5, 5230937 List the prime factors of 12671427. 3, 37, 114157 List the prime factors of 3203533692. 2, 3, 29662349 List the prime factors of 734904275. 5, 7, 307, 13679 List the prime factors of 4339329298. 2, 1033, 2100353 What are the prime factors of 166924750? 2, 5, 667699 List the prime factors of 5985704. 2, 23, 32531 What are the prime factors of 4692813248? 2, 73325207 What are the prime factors of 212709417? 3, 70903139 What are the prime factors of 83204321? 2671, 31151 List the prime factors of 5605929591. 3, 1868643197 List the prime factors of 100483519. 4673, 21503 List the prime factors of 229741629. 3, 13, 317, 18583 What are the prime factors of 73888653? 3, 47, 149, 3517 What are the prime factors of 786819215? 5, 7, 13, 31, 613 What are the prime factors of 359135484? 2, 3, 43, 695999 List the prime factors of 35649995. 5, 193, 36943 List the prime factors of 66146739. 3, 829, 26597 What are the prime factors of 2434557605? 5, 486911521 What are the prime factors of 951020669? 6529, 145661 What are the prime factors of 41759737? 41759737 List the prime factors of 173988136. 2, 7, 1019, 3049 What are the prime factors of 214671168? 2, 3, 124231 List the prime factors of 3901276. 2, 67, 14557 List the prime factors of 2134316507. 857, 2490451 What are the prime factors of 1288174200? 2, 3, 5, 29, 101, 733 What are the prime factors of 146369979? 3, 7, 43, 71, 761 What are the prime factors of 19575963? 3, 11, 79, 2503 List the prime factors of 98187580. 2, 5, 17, 317, 911 List the prime factors of 249022512. 2, 3, 19, 3371 What are the prime factors of 198458559? 3, 13, 23, 31, 61 List the prime factors of 1155501299. 1155501299 List the prime factors of 5746425639. 3, 23, 31, 61, 44041 What are the prime factors of 1196350883? 7, 13, 1669, 7877 What are the prime factors of 169466616? 2, 3, 11, 213973 List the prime factors of 99865252. 2, 4051, 6163 List the prime factors of 840074080. 2, 5, 23, 228281 List the prime factors of 38134553. 17, 2243209 What are the prime factors of 559924191? 3, 20737933 List the prime factors of 195212670. 2, 3, 5, 137, 47497 List the prime factors of 2145751775. 5, 85830071 What are the prime factors of 6806643294? 2, 3, 11, 17, 6066527 List the prime factors of 15309564. 2, 3, 29, 37, 41 List the prime factors of 403369313. 223, 1808831 What are the prime factors of 748378326? 2, 3, 367, 339863 What are the prime factors of 235208121? 3, 2797, 28031 List the prime factors of 90702152. 2, 2083, 5443 List the prime factors of 6861411882. 2, 3, 13, 61, 160231 List the prime factors of 572657128. 2, 23, 3112267 List the prime factors of 660043244. 2, 7, 23572973 What are the prime factors of 2043858774? 2, 3, 41, 8308369 List the prime factors of 3976689270. 2, 3, 5, 47, 2820347 List the prime factors of 2770247514. 2, 3, 461707919 What are the prime factors of 2506873094? 2, 11, 31, 3675767 What are the prime factors of 104750431? 317, 491, 673 What are the prime factors of 1028479162? 2, 71, 101, 71711 List the prime factors of 38648690. 2, 5, 103, 157, 239 List the prime factors of 673784272. 2, 7, 6015931 What are the prime factors of 1130255688? 2, 3, 43, 1095209 What are the prime factors of 87434951? 5653, 15467 List the prime factors of 49010493. 3, 7, 23, 29, 3499 List the prime factors of 1404606174. 2, 3, 467, 501287 List the prime factors of 5740566988. 2, 13, 8491963 List the prime factors of 46905140. 2, 5, 2345257 What are the prime factors of 58748437? 11, 19, 181, 1553 What are the prime factors of 129223240? 2, 5, 37, 87313 What are the prime factors of 483053554? 2, 41, 53, 111149 What are the prime factors of 752932320? 2, 3, 5, 7, 331, 677 List the prime factors of 330327525. 3, 5, 11, 367, 1091 W
{ "pile_set_name": "DM Mathematics" }
106*y**3 + 19*y**2 + 2*y + 3. Let f(x) = 213*x**3 + 37*x**2 + 3*x + 5. Let g(o) = -3*f(o) + 5*v(o). Find the third derivative of g(i) wrt i. -654 Suppose -18*i = 52 - 124. Let p(s) be the third derivative of 0*s**i + 0*s**5 + 0 + 4/3*s**3 - 6*s**2 + 0*s**6 + 0*s - 1/42*s**7. Differentiate p(y) wrt y. -20*y**3 Let v(c) = -18*c**4 - 4*c**3 + 4*c - 9. Let l = 12 + -13. Let b(a) = -a**4 - a**3 + a. Let t(h) = l*v(h) + 4*b(h). Differentiate t(n) with respect to n. 56*n**3 Let f(z) = z - 5. Let j be f(5). Let y be -2 - j - (-2 - 3). Find the third derivative of 0*r**4 + y*r**4 - 6*r**2 - 5*r**4 wrt r. -48*r Let s(m) be the third derivative of m**6 - 59*m**3 - 5*m**2 - 24. Differentiate s(x) with respect to x. 360*x**2 Let z(l) be the second derivative of -2*l**7/7 - l**5/20 - l**3/3 - 15*l**2/2 - l - 78. Find the second derivative of z(s) wrt s. -240*s**3 - 6*s Let b(m) be the third derivative of m**8/28 - m**7/42 - m**5/60 + 17*m**3/6 + m**2 - 4*m. What is the third derivative of b(s) wrt s? 720*s**2 - 120*s Let o(x) = x. Let u be o(2). Let h(m) be the second derivative of 0*m**3 - 1/2*m**u - 5/12*m**4 + 0 + m. Differentiate h(w) with respect to w. -10*w Find the second derivative of 2*i**4 + 82*i**2 + 29*i + 3*i**2 - i**3 + i**3 - 3 - 46*i**2 wrt i. 24*i**2 + 78 Let f(q) be the second derivative of q**8/210 - q**5/12 + 7*q**3/2 + q. Let j(h) be the second derivative of f(h). What is the second derivative of j(c) wrt c? 96*c**2 Suppose -6*x = -x + 3*r - 39, 5*r - 21 = -x. Let j = x + -3. Find the second derivative of 59*s + 0*s**j - 4*s**3 - 60*s wrt s. -24*s Let g(w) = 26*w**2 - 17*w. Let o(d) = -53*d**2 + 35*d. Let l = 67 + -70. Let r(i) = l*o(i) - 5*g(i). Find the second derivative of r(s) wrt s. 58 What is the second derivative of 1363*u - 455*u - 493*u**5 - 57*u**5 - 120*u**5 wrt u? -13400*u**3 Let p(l) be the third derivative of 97*l**6/120 - 5*l**3/2 - 105*l**2. Differentiate p(n) wrt n. 291*n**2 Find the second derivative of 6*s**4 + 6 - 65*s - s**5 - 46*s**5 + 24*s + 28*s**5 wrt s. -380*s**3 + 72*s**2 Let r be (-2*1/(-6))/(2/42). Find the second derivative of -r*a - 3*a**2 - 11*a + 0*a**2 + 11*a**2 wrt a. 16 Let q(k) = -k + 2. Let o be q(0). What is the first derivative of 4*d**2 + 9*d**2 + o - 19 + 5*d**2 wrt d? 36*d Suppose -9*o = 4 - 31. Let u(g) be the third derivative of 0 + 0*g**4 - 4*g**2 + 1/2*g**o + 0*g - 1/12*g**5. What is the derivative of u(j) wrt j? -10*j Let l(k) = 130*k**4 + 5*k**3 + 69*k**2. Let x(z) = 129*z**4 + 4*z**3 + 70*z**2. Let i(u) = 4*l(u) - 5*x(u). Find the third derivative of i(j) wrt j. -3000*j Let y = 110 + -108. Find the second derivative of -279*v + 229*v - y*v**2 + 0*v**2 wrt v. -4 Suppose 0*y = 2*x - 3*y - 27, 5*y - 5 = -5*x. Let w(k) = k - 4. Let z be w(x). Find the third derivative of -z*f**5 + 3*f**2 - 5*f**2 + 7*f**5 - f**2 wrt f. 300*f**2 Let u(a) = 233*a**4 + 2*a**3 - 2*a**2 + 18. Let k(f) = 467*f**4 + 5*f**3 - 5*f**2 + 37. Let z(r) = -2*k(r) + 5*u(r). What is the first derivative of z(l) wrt l? 924*l**3 Let f(c) = -16*c**6 + 6*c**5 - 9*c**3 - 61*c**2 - 9. Let x(q) = 2*q**6 + q**3 - q**2 + 1. Let r(j) = -2*f(j) - 18*x(j). Find the third derivative of r(i) wrt i. -480*i**3 - 720*i**2 Let j = -2 + 6. Suppose j*y - 367 = 401. Find the third derivative of -192*o**3 - 10*o**2 + y*o**3 + 6*o**4 wrt o. 144*o Suppose 4*o - 3*u = 17, -5 + 11 = -2*u. Suppose g - 2*n - 1 = -5, -5*g + 4*n = 2. What is the second derivative of 4*c**3 + 3*c + g*c + o*c wrt c? 24*c Let u(m) be the third derivative of -2*m**7/15 + m**6/15 + 177*m**3/2 - 607*m**2. What is the derivative of u(k) wrt k? -112*k**3 + 24*k**2 Find the second derivative of -24476 - 279*s + 24476 + s**3 + 9*s**5 wrt s. 180*s**3 + 6*s Let r(q) = -243*q + 259. Let t(c) = -122*c + 131. Let s(g) = 3*r(g) - 5*t(g). Differentiate s(v) wrt v. -119 Find the second derivative of j**2 - 195*j**3 + 2*j**2 - 13*j - 3*j**2 - 199*j wrt j. -1170*j What is the third derivative of -43*w**5 + 21*w**5 - 14*w**6 + 4 + 23*w**5 - 2*w**2 wrt w? -1680*w**3 + 60*w**2 Let k(f) be the second derivative of 0 - 22*f**2 + 19/6*f**3 - 20*f. Differentiate k(m) wrt m. 19 Let k(h) = h**2 - h + 14. Let u be k(0). What is the derivative of -5 - u - 13 + 5 - 16*t**3 wrt t? -48*t**2 Let k(v) = -7*v + 44. Let f be k(6). What is the first derivative of 22 - 2*d**2 - 12*d**2 + 0*d**f - 10 wrt d? -28*d Let q = 72 + -61. Find the second derivative of -q*h**5 - 7*h**5 - 14*h**5 + 21*h wrt h. -640*h**3 Let t(s) be the second derivative of -38*s**3/3 + 121*s**2/2 - 140*s. What is the first derivative of t(b) wrt b? -76 Suppose -25 = -2*u + 7. Let j be 34/u + (-15)/120. What is the first derivative of -j*d**2 + 13 + 5*d**2 + d**2 - 2 wrt d? 8*d Let d = 10 - 5. Suppose -8*m + d*w = -3*m - 15, -4*w = 4. Find the second derivative of 3*f**2 + 0*f - 10*f - 6*f**m - 2*f wrt f. -6 Let v(d) be the first derivative of -13*d**5 + d**4/2 - 3*d**2/2 + 69. What is the second derivative of v(o) wrt o? -780*o**2 + 12*o Let a(i) be the second derivative of -i**7/21 - 27*i**5/20 + i**4/6 - 34*i**3/3 + 245*i. What is the third derivative of a(p) wrt p? -120*p**2 - 162 Let d(o) be the first derivative of 86*o**5/5 + o**4/4 - 2*o**3/3 - 50*o**2 + 301. What is the third derivative of d(g) wrt g? 2064*g + 6 Suppose 2*h - 6 = 5*h. Let q = h + 7. Find the third derivative of -2*d**2 - d**5 + d**q - 3*d**5 + d**2 wrt d. -180*d**2 Let i(h) be the second derivative of 7*h**4/12 - 7*h**3/2 + h**2/2 - 71*h. Find the second derivative of i(g) wrt g. 14 Let d(j) be the first derivative of -41*j**4/4 + j**3/3 + 3*j**2 - 53. What is the third derivative of d(i) wrt i? -246 Find the third derivative of 5 + 25*i**2 - 3 - 4 - 8*i**2 + 8*i**2 - 149*i**6 wrt i. -17880*i**3 What is the second derivative of -14*r - 31*r**4 - 9*r**4 + 9*r - 2 + 7 - 9*r**4 wrt r? -588*r**2 Let z(r) = r**2 + 5*r + 5. Let s be z(-7). Let w = s - 18. What is the first derivative of j - 8 - w + 1 wrt j? 1 Let y(u) be the third derivative of 0*u**3 + 0*u + 0*u**6 - 4*u**2 + 1/30*u**5 + 0*u**7 - 11/336*u**8 + 0 + 0*u**4. What is the third derivative of y(n) wrt n? -660*n**2 Let a(j) be the second derivative of 71*j**5/20 - j**4/12 - 7*j**3/6 + 35*j. Find the third derivative of a(u) wrt u. 426 Let z(q) be the first derivative of 0*q**2 - 20 + 23*q + 7/3*q**3. Differentiate z(o) wrt o. 14*o Let g = 38 + -19. Let m = g - 19. Find the second derivative of -6*n - 3*n**5 + m*n**5 - 4*n**5 wrt n. -140*n**3 Suppose -4*j + 59 = 35. What is the first derivative of -32*w**2 + 50*w - 94*w + 44*w + j wrt w? -64*w Let c(b) = 13*b**4 + 5 + 100*b - 2*b**2 - 98*b + 2*b**4. Let p(t) = t**4 + t**2 - t. Let i(u) = -c(u) - 2*p(u). Find the first derivative of i(x) wrt x. -68*x**3 Let t(c) = 56*c**3 + 6*c**2 - 147. Let v(q) = 167*q**3 + 20*q**2 - 441. Let f(k) = -7*t(k) + 2*v(k). Find the first derivative of f(h) wrt h. -174*h**2 - 4*h Let b(z) = z**3 + z**2 - 4. Let i be b(0). Let n be (-101)/i - (-2)/(-8). Find the second derivative of 21*g - 2*g**2 - 4*g**2 - n*g + g**2 wrt g. -10 Let q(r) be the second derivative of r**9/1080 + r**6/240 - 5*r**4/12 - 9*r. Let v(a) be the third derivative of q(a). Find the second derivative of v(i) wrt i. 168*i**2 Find the second derivative of 12*u**2 + 5*u**5 - 24*u + 5*u + 12*u**5 - 21*u**5 wrt u. -80*u**3 + 24 Suppose 4 = -6*k + 8*k. Find the second derivative of j + 0*j - 476*j**2 + 479*j**k wrt j. 6 What is the second derivative of -1 - 2*r - 54*r**5 - 2*r**2 + 4*r - 43*r**3 - 24*r + 43*r**3 wrt r? -1080*r**3 - 4 Let h(x) be the second derivative of 37*x**5/10 + 5*x**4/12 - 235*x**3/3 - 342*x. What is the second derivative of h(r) wrt r? 444*r + 10 Let t = 18 - 16. Suppose -k = t*k - 3. Differentiate -10*r**3 - 2*r**3 + k + 11*r**3 wrt r. -3*r**2 Let i(k) be the third derivative of 0*k + 0*k**5 + 20*k**2 - 1/6*k**6 - 1/12*k**4 + 0 + 0*k**3. Find the second derivative of i(l) wrt l. -120*l Find the second derivative of 0*t**2 + 0*t**2 + 85*t - 8*t**2 + 14*t wrt t. -16 Let c(b) be the third derivative of 38*b**5/15 + b**3/3 - 111*b**2. What is the first derivative of c(d) wrt d? 304*d Let j(w) be the second derivative of 0*w**6 + 0 - 1/28*w**8 + 0*w**5 + 0*w**2 + 0*w**3 + 5/3*w**4 + 0*w**7 - 3*w. What is the third derivative of j(n) wrt n? -24
{ "pile_set_name": "DM Mathematics" }
5*o - 305 + 10 with respect to o. -302 Let a(l) = 11*l**2 - 7*l**2 - 5*l**2 - 1 + 2*l. Let h(j) = -49*j**2 - 13*j - 4. Let b(o) = 4*a(o) - h(o). What is the second derivative of b(d) wrt d? 90 Let y(q) = -q**3 - 14*q**2 - 3*q - 39. Let p be y(-14). What is the derivative of -2*g + 6*g - 21 - 4*g + 8*g**p wrt g? 24*g**2 What is the first derivative of -15*u**3 + 8*u**3 + 10 - 26*u**3 - 32*u**3 + 2*u**2 wrt u? -195*u**2 + 4*u What is the derivative of 131*o**3 - 54*o**2 + 22*o**3 + 301 + 54*o**2 wrt o? 459*o**2 Let y(x) be the first derivative of 0*x**2 - 13/3*x**3 + 16/5*x**5 + 0*x**4 + 1 + 0*x. Find the third derivative of y(l) wrt l. 384*l Let o = 16 + -5. What is the derivative of -11*v - 7*v**3 - 4 + 10 + o*v wrt v? -21*v**2 Suppose 29*c - 28*c = 0. Let g = 12 - 6. Differentiate -3 + 4*l + c*l - g*l wrt l. -2 Suppose 0*n - 3 = -n. Differentiate -n + 4 - 16 + 11*l**4 wrt l. 44*l**3 Let f(m) be the third derivative of 31*m**6/120 - 109*m**5/30 - m**2 - 18*m. What is the third derivative of f(a) wrt a? 186 Let q be (2/(-5))/((-1)/15). Let z(i) = i**3 - 7*i**2 + 7*i - 3. Let w be z(q). Find the third derivative of 6*v + 6*v**2 - v**w - 2*v - 4*v wrt v. -6 What is the third derivative of 67*b**2 - 71*b**3 - 141*b**2 + 66*b**2 wrt b? -426 Let m = -36 - -39. Find the second derivative of -8*o - m*o - 6*o**3 + 0*o - 2*o**3 wrt o. -48*o Find the third derivative of 130*c**5 + 42 + 23 - 64 - 14*c**2 wrt c. 7800*c**2 Let i(k) be the third derivative of -173*k**9/504 + 7*k**5/3 - 2*k**2 + 92. Find the third derivative of i(d) wrt d. -20760*d**3 Suppose -9 = c + 2*c. Let q be 10 + (c - -3)/(-3). Find the first derivative of -w**3 + 18*w**3 - 2 - q*w**3 wrt w. 21*w**2 Let t(a) = 3*a - 7. Let u be t(3). Find the third derivative of 4 + 70*r**u - 35*r**2 - 49*r**3 - 4 wrt r. -294 Differentiate -2*n**2 - 103229 + 103877 + 36*n**4 - 11*n**4 with respect to n. 100*n**3 - 4*n Let f(d) be the first derivative of 31/4*d**4 + 0*d**2 + 27*d - 22 + 0*d**3. What is the derivative of f(s) wrt s? 93*s**2 Let c(z) be the first derivative of -89*z**6/6 - 115*z**2/2 + 20. What is the second derivative of c(q) wrt q? -1780*q**3 Let z(i) be the third derivative of 0 + 0*i - 8*i**2 - 1/6*i**3 - 3/8*i**4. Differentiate z(b) with respect to b. -9 Let o(x) be the second derivative of -47*x**6/30 - x**5/10 + x**3 - 3*x**2/2 + 46*x + 2. What is the second derivative of o(h) wrt h? -564*h**2 - 12*h Let u(f) = f**4 - f**3 + f + 1. Let n(g) = 9*g**4 - 5*g**3 + 3*g**2 - 54*g + 5. Let c(t) = -n(t) + 5*u(t). What is the second derivative of c(q) wrt q? -48*q**2 - 6 Let t(p) = -4*p**5 - 3*p**4 - 53*p**3 - 17*p**2 + 6. Let o(s) = -s**5 - s**4 + s**3 + 2. Let a(d) = -3*o(d) + t(d). What is the third derivative of a(c) wrt c? -60*c**2 - 336 Let t(j) be the second derivative of -j**5/20 + 3*j**4 - j**3/3 + 5*j**2/2 + 44*j. What is the second derivative of t(g) wrt g? -6*g + 72 Let k(o) = 2*o**4 - o**3 + o**2. Let y(m) = 128*m**5 + 2*m**4 - m**3 - 100*m**2. Let p(h) = k(h) - y(h). Find the third derivative of p(r) wrt r. -7680*r**2 Suppose -4 = t, 0 = -5*k + 4*t + t + 30. What is the second derivative of 2 + k*j + 0 + 0*j + 2 + 28*j**4 wrt j? 336*j**2 Find the third derivative of 3365*d**5 + 2*d**6 - 3221*d**5 + 94*d - 2*d**2 + 100*d wrt d. 240*d**3 + 8640*d**2 Let u(h) = 487*h**5 - h**4 - h**3 + 98. Let b(l) = l**5 + l**4 + l**3 - l + 2. Let j(s) = -b(s) - u(s). What is the second derivative of j(g) wrt g? -9760*g**3 Let y(v) be the second derivative of -v**8/28 - 97*v**5/20 - 5*v**4/12 - v**2 + 156*v. What is the third derivative of y(q) wrt q? -240*q**3 - 582 Let n(i) be the first derivative of 25*i**3/3 + i**2/2 + 245*i - 5. What is the first derivative of n(x) wrt x? 50*x + 1 Let y(f) = f**4 + 1. Let g(w) = 1105*w**4 + 626*w**2 - 9. Let p(c) = g(c) + 9*y(c). Find the third derivative of p(o) wrt o. 26736*o Suppose 7*x = 3*x + 88. Find the third derivative of 2*w**2 + x*w**6 - 5*w**2 - 28*w**6 wrt w. -720*w**3 Differentiate 5*w - 9*w**2 - w - 115 - 6*w - 6*w**2 with respect to w. -30*w - 2 Suppose -4*x + 3*x + 2 = 0. Differentiate -24 + 3*d**2 + 3*d**x + 5*d**2 with respect to d. 22*d Let h = 35 + -33. Differentiate 291*v**2 + 3 - 8 - 294*v**h - 3 wrt v. -6*v Let z(t) be the first derivative of 0*t + 0*t**4 - 12*t**2 + 7 + 0*t**3 - 14/5*t**5. Find the second derivative of z(j) wrt j. -168*j**2 What is the third derivative of -306*b**5 + 215*b**2 + 170*b**4 - 336*b**4 + 166*b**4 wrt b? -18360*b**2 What is the third derivative of -9*v + 33*v**2 - 46*v**4 + 46*v**4 + 2*v**3 + 82*v**5 + 7*v wrt v? 4920*v**2 + 12 Let a(p) = 3*p + 8. Let l be a(-2). What is the third derivative of 0*v**5 - 2*v**2 + 2*v**5 + 5*v**l wrt v? 120*v**2 Let n(o) be the second derivative of -17/20*o**5 + 0*o**3 + 9*o**2 + 0 + 0*o**4 - 13*o. Find the first derivative of n(a) wrt a. -51*a**2 Suppose -26 = -o - 3*o + 2*m, -3*o + 5*m = -9. Find the third derivative of -5*k + 24*k**2 + o*k - 16*k**3 - 3*k wrt k. -96 Let o(m) = 7*m**3 + 3 + 4*m**2 + 7*m**3 - 15*m**3 + 2*m**2. Let k be o(6). Find the second derivative of 6*s**k + s + 6*s - 3*s**3 wrt s. 18*s Find the second derivative of 265*q**4 - 4*q - 443*q**4 - 329 + 2*q wrt q. -2136*q**2 Let h be 1 - 1 - 1 - (-350)/25. Find the second derivative of -6*d - h*d**4 - 7*d + 24*d**4 - d**4 wrt d. 120*d**2 Let x(i) = -i**2. Let w(j) = -4*j**2 - 13*j - 10. Let a(r) = w(r) - 5*x(r). Let y be a(14). Differentiate -4*d**y + 5 - 2 - 1 + 1 with respect to d. -16*d**3 Find the third derivative of 7 + 90*q**3 + 254*q**3 + 249*q**2 - 5 wrt q. 2064 Let j(n) = -5*n - 49. Let w(v) = -7*v - 18. Let s(u) = 8*u + 19. Let q(y) = 6*s(y) + 7*w(y). Let d(k) = 2*j(k) - 9*q(k). What is the derivative of d(t) wrt t? -1 Find the second derivative of 317*c**2 - 48*c - 69*c - 317*c**2 - 462*c**3 + 1308*c**3 wrt c. 5076*c Let u(y) = -y**3 + 6*y**2 - 4. Let d be u(4). Find the third derivative of 10*i**5 - 28*i**3 + d*i**3 + 5*i**2 wrt i. 600*i**2 Let n(v) = 4*v + 16. Let p be n(3). What is the first derivative of 7 - 14 + p*x - 24 wrt x? 28 Let k(v) = -v. Let y(l) = -5*l - 27. Suppose -8*c + 12 = -12. Let o(z) = c*k(z) - y(z). Differentiate o(h) wrt h. 2 Let o = -120 + 124. What is the second derivative of 5*b**o - 1203 + 1203 + 2*b**4 - 33*b wrt b? 84*b**2 Let b(v) = -50*v**3 - 5*v**2 - 9*v - 26. Let z(k) = k**2 + 2*k + 2. Let h(u) = -b(u) - 5*z(u). What is the second derivative of h(i) wrt i? 300*i Let r(g) be the third derivative of g**9/504 + 25*g**8/84 + 31*g**5/15 - 83*g**2. What is the third derivative of r(h) wrt h? 120*h**3 + 6000*h**2 Differentiate -4544*d**3 - 108 + 94*d**4 + 4544*d**3 wrt d. 376*d**3 Let p(y) = -2*y**2 + 28*y + 21. Let j be p(12). What is the second derivative of 28*c - j*c - 43*c**5 + 32*c**5 wrt c? -220*c**3 Let c(x) be the first derivative of -44*x**3 - 56*x**2 - 195. What is the second derivative of c(j) wrt j? -264 Let s(a) be the third derivative of -37*a**2 + 1/12*a**6 + 0 + 0*a + 0*a**3 + 0*a**5 - a**4. What is the second derivative of s(j) wrt j? 60*j Let x = 18 + -15. What is the third derivative of -x*j**2 + 26*j**5 - 25*j**5 - j**2 wrt j? 60*j**2 Let s(b) be the second derivative of -b**6/40 + 11*b**5/40 - 11*b**4/4 - 38*b. Let p(h) be the third derivative of s(h). Differentiate p(k) with respect to k. -18 Let s(k) be the third derivative of -41*k**9/252 + 47*k**5/60 + k**4/12 - k**2 - 28*k. Find the third derivative of s(l) wrt l. -9840*l**3 Let h(o) = 308*o**5 + 10*o**4 - 9*o**2 - 152*o - 5. Let q(l) = 2*l**4 - 2*l**2 - 1. Let c(i) = h(i) - 5*q(i). Find the third derivative of c(z) wrt z. 18480*z**2 Let s(u) = 4*u**4 - 22*u**2 + 5*u - 156. Let h(z) = 4*z**4 - 22*z**2 + 4*z - 157. Let k(m) = 5*h(m) - 4*s(m). What is the derivative of k(w) wrt w? 16*w**3 - 44*w Let l(a) be the first derivative of 0*a**3 + 0*a - 16/5*a**5 + 4*a**2 + 0*a**4 - 4. Find the second derivative of l(q) wrt q. -192*q**2 Let a(p) be the first derivative of -p**4/2 + 2*p**3/3 + 87*p**2 - 59. What is the second derivative of a(u) wrt u? -12*u + 4 Let k(z) = -2*z - 4. Let h be k(-3). Find the first derivative of -36*p**h - 95*p + 35 - 90*p + 185*p wrt p. -72*p Suppose 4*u - 8 = a, -4*a - 2*u + 22 = -0*u. Let x(z) = -z**2 - 7*z + 6. Let g be x(-7). Find the first derivative of 3 + a*s*
{ "pile_set_name": "DM Mathematics" }
22, 11932, 11800, 11502? -4*s**3 + s**2 + 363*s + 10582 What is the g'th term of 39794493, 39794491, 39794489? -2*g + 39794495 What is the f'th term of -20925, -25799, -30677, -35559, -40445? -2*f**2 - 4868*f - 16055 What is the d'th term of -17818, -17851, -17884, -17917, -17950? -33*d - 17785 What is the x'th term of 3121213, 3121257, 3121301, 3121345, 3121389, 3121433? 44*x + 3121169 What is the x'th term of -1642, 27, 1710, 3413, 5142, 6903, 8702, 10545? x**3 + x**2 + 1659*x - 3303 What is the k'th term of 9823, 7937, 4793, 391? -629*k**2 + k + 10451 What is the o'th term of 331086967, 331086964, 331086961? -3*o + 331086970 What is the p'th term of 724258, 1448573, 2172942, 2897359, 3621818, 4346313? -p**3 + 33*p**2 + 724223*p + 3 What is the a'th term of 2390538, 4781082, 7171626, 9562170, 11952714? 2390544*a - 6 What is the a'th term of -7850947, -15701894, -23552835, -31403764, -39254675, -47105562, -54956419, -62807240? a**3 - 3*a**2 - 7850945*a What is the s'th term of 10631241, 21262488, 31893735, 42524982? 10631247*s - 6 What is the x'th term of 188148, 188407, 188666, 188925? 259*x + 187889 What is the k'th term of -2319, -2733, -3013, -3093, -2907, -2389? 11*k**3 + k**2 - 494*k - 1837 What is the d'th term of 129, 501, 1237, 2433, 4185? 16*d**3 + 86*d**2 + 2*d + 25 What is the n'th term of 7306268, 14612537, 21918806? 7306269*n - 1 What is the o'th term of -1672153, -1672151, -1672149, -1672147? 2*o - 1672155 What is the g'th term of -6968, -12668, -18368, -24068, -29768? -5700*g - 1268 What is the i'th term of 28417, 27976, 27535? -441*i + 28858 What is the a'th term of -21859, -51528, -81197, -110866, -140535? -29669*a + 7810 What is the c'th term of -4290, -8511, -12578, -16413, -19938, -23075, -25746? 13*c**3 - c**2 - 4309*c + 7 What is the b'th term of -6814937, -13629873, -20444809, -27259745, -34074681? -6814936*b - 1 What is the s'th term of -1745, -1552, -1231, -782, -205, 500? 64*s**2 + s - 1810 What is the f'th term of -1075895, -4303598, -9683101, -17214404, -26897507, -38732410? -1075900*f**2 - 3*f + 8 What is the u'th term of -577125909, -1154251817, -1731377725, -2308503633, -2885629541, -3462755449? -577125908*u - 1 What is the b'th term of -41713, -167151, -376313, -669199, -1045809, -1506143, -2050201? -41862*b**2 + 148*b + 1 What is the m'th term of 466, 2131, 5310, 10327, 17506, 27171, 39646, 55255? 54*m**3 + 433*m**2 - 12*m - 9 What is the n'th term of 644, 2177, 4972, 9227, 15140, 22909, 32732, 44807? 33*n**3 + 433*n**2 + 3*n + 175 What is the u'th term of 23246197, 23246196, 23246195, 23246194, 23246193? -u + 23246198 What is the y'th term of -1458, -5814, -13068, -23220, -36270, -52218? -1449*y**2 - 9*y What is the q'th term of -11856, -11468, -10822, -9918, -8756, -7336, -5658? 129*q**2 + q - 11986 What is the r'th term of 1551802, 3103627, 4655456, 6207289, 7759126, 9310967? 2*r**2 + 1551819*r - 19 What is the u'th term of 475050, 474941, 474832, 474723, 474614? -109*u + 475159 What is the n'th term of -2876, -8383, -16536, -27341, -40804? -n**3 - 1317*n**2 - 1549*n - 9 What is the n'th term of -71329, -157764, -244199, -330634? -86435*n + 15106 What is the s'th term of 2457, 3533, 6781, 13287, 24137? 181*s**3 - 191*s + 2467 What is the w'th term of 1247, 1285, 1363, 1481, 1639? 20*w**2 - 22*w + 1249 What is the v'th term of 46972, 94556, 142140, 189724, 237308, 284892? 47584*v - 612 What is the y'th term of 4650588, 4650310, 4649846, 4649196? -93*y**2 + y + 4650680 What is the q'th term of -16505, -16150, -15795, -15440? 355*q - 16860 What is the s'th term of 130947, 261903, 392859, 523815, 654771, 785727? 130956*s - 9 What is the p'th term of 719470, 1438942, 2158414? 719472*p - 2 What is the n'th term of -703, -545, -315, -19, 337, 747, 1205? -n**3 + 42*n**2 + 39*n - 783 What is the f'th term of -3318717948, -3318717949, -3318717950, -3318717951, -3318717952? -f - 3318717947 What is the n'th term of 246569, 246663, 246825, 247061, 247377? n**3 + 28*n**2 + 3*n + 246537 What is the p'th term of -60555, -121312, -182069, -242826, -303583? -60757*p + 202 What is the y'th term of 972, 2798, 4624? 1826*y - 854 What is the i'th term of -2464693, -9858770, -22182253, -39435160, -61617509, -88729318? -3*i**3 - 2464685*i**2 - i - 4 What is the a'th term of 18914639, 37829254, 56743869, 75658484, 94573099? 18914615*a + 24 What is the w'th term of -397, -5022, -13855, -26890, -44121, -65542, -91147, -120930? w**3 - 2110*w**2 + 1698*w + 14 What is the m'th term of 3760996, 7521974, 11282950, 15043924, 18804896, 22565866? -m**2 + 3760981*m + 16 What is the f'th term of -1721754, -3443510, -5165266? -1721756*f + 2 What is the l'th term of -178113664, -356227329, -534340992, -712454653? l**2 - 178113668*l + 3 What is the c'th term of 25075217, 25075223, 25075233, 25075247, 25075265, 25075287? 2*c**2 + 25075215 What is the k'th term of -406044, -1624204, -3654476, -6496860? -406056*k**2 + 8*k + 4 What is the p'th term of -4250347, -8500965, -12751581, -17002195, -21252807, -25503417, -29754025? p**2 - 4250621*p + 273 What is the c'th term of 86063, 171967, 257871, 343775, 429679, 515583? 85904*c + 159 What is the m'th term of 34297523, 34297525, 34297527? 2*m + 34297521 What is the t'th term of 1659844, 3319697, 4979550, 6639403, 8299256, 9959109? 1659853*t - 9 What is the g'th term of -2144606, -2144590, -2144570, -2144552, -2144542, -2144546? -g**3 + 8*g**2 - g - 2144612 What is the x'th term of 290185, 290220, 290243, 290248, 290229, 290180? -x**3 + 42*x + 290144 What is the i'th term of -13096, -104743, -353502, -837931, -1636588, -2828031? -13093*i**3 + 2*i**2 - 2*i - 3 What is the p'th term of 923318, 1846603, 2769888, 3693173? 923285*p + 33 What is the i'th term of 1178249366, 2356498732, 3534748098, 4712997464, 5891246830? 1178249366*i What is the c'th term of -20439, -16769, -13111, -9471, -5855, -2269, 1281, 4789? -c**3 + 3677*c - 24115 What is the f'th term of -1614911, -1614837, -1614763, -1614689, -1614615? 74*f - 1614985 What is the z'th term of 554575, 1109198, 1663821, 2218444? 554623*z - 48 What is the c'th term of -624471, -1248951, -1873435, -2497923, -3122415? -2*c**2 - 624474*c + 5 What is the l'th term of -16890464, -16890466, -16890468? -2*l - 16890462 What is the q'th term of 5410, 10097, 14784? 4687*q + 723 What is the v'th term of -122262, -489045, -1100350, -1956183, -3056550, -4401457, -5990910? -v**3 - 122255*v**2 - 11*v + 5 What is the z'th term of -103996079, -415984330, -935964749, -1663937336, -2599902091, -3743859014? -103996084*z**2 + z + 4 What is the x'th term of 37448, 74834, 112164, 149438, 186656? -28*x**2 + 37470*x + 6 What is the y'th term of 364383, 728772, 1093161, 1457550, 1821939, 2186328? 364389*y - 6 What is the r'th term of 179, 460, 831, 1292, 1843, 2484? 45*r**2 + 146*r - 12 What is the a'th term of 2416820, 2416678, 2416536, 2416394, 2416252, 2416110? -142*a + 2416962 What is the z'th term of 118, 255, 338, 337, 222, -37? -5*z**3 + 3*z**2 + 163*z - 43 What is the h'th term of 5998, 6135, 6582, 7495, 9030? 26*h**3 - h**2 - 42*h + 6015 What is the v'th term of 9302, 37696, 85176, 151736, 237370, 342072? -v**3 + 9549*v**2 - 246*v What is the x'th term of -8459, -16740, -24823, -32708? 99*x**2 - 8578*x + 20 What is the i'th term of -566, -1249, -2052, -2975? -60*i**2 - 503*i - 3 What is the m'th term of 1682556223, 1682556222, 1682556221, 1682556220? -m + 1682556224 What is the f'th term of 1914, 4491, 7746, 11673, 16266, 21519? -f**3 + 345*f**2 + 1549*f + 21 What is the v'th term of 892, 2139, 3744, 5707, 8028, 10707? 179*v**2 + 710*v + 3 What is the d'th term of -142, -526, -1398, -3010, -5614? -42*d**3 + 8*d**2 - 114*d + 6 What is the m'th term of 6640, 26399, 59284, 105295? 6563*m**2 + 70*m + 7 What is the t'th term of 266, 650, 1156, 1790, 2558, 3466? t**3 + 55*t**2 + 212*t - 2 What is the w'th term of 9570, 9384, 9198, 9012? -186*w + 9756 What is the s'th term of -342, -176, -16, 138, 286? -3*s**2 + 175*s - 514 What is the k'th term of 77212, 154412, 231612, 308812, 386012, 463212? 77200*k + 12 What is the n'th term of -17026241, -34052496, -51078755, -68105018, -85131285, -102157556, -119183831? -2*n**2 - 17026249*n + 10 What is the t'th term of -112567, -2249
{ "pile_set_name": "DM Mathematics" }
+ c**5/135 - c**4/24 - 3*c**2. Let p(s) be the second derivative of j(s). Factor p(z). -2*(z - 1)*(z + 2)**2/9 Let d(b) = -2*b**3 + b**2. Let v(w) = 2*w**3. Let z(s) = 6*d(s) + 5*v(s). Let z(g) = 0. Calculate g. 0, 3 Let v(c) be the second derivative of 1/30*c**5 - 6*c + 0 + 2/3*c**2 - 1/45*c**6 + 1/6*c**4 - 5/9*c**3. Let v(d) = 0. Calculate d. -2, 1 Suppose -3*g = 2*f + 3, -62 = -2*f + 5*g - 25. Let h be ((-15)/f)/((-5)/3). Find i, given that h + 9/4*i + 3/4*i**2 = 0. -2, -1 Let m(n) be the first derivative of 5*n**4/4 - 5*n**3 - 45*n**2/2 - 25*n + 15. Factor m(r). 5*(r - 5)*(r + 1)**2 Let u = 249331/169308 - 2/4703. Let j = u - 5/4. Find q, given that j*q**3 + 2/9*q**4 + 0 - 2/9*q - 2/9*q**2 = 0. -1, 0, 1 Let v(w) be the third derivative of w**5/270 + w**4/36 + 2*w**3/27 - 35*w**2. Factor v(h). 2*(h + 1)*(h + 2)/9 Let l = -5 - -8. Factor -11*x - 3 + 14*x - l*x**2 + 3. -3*x*(x - 1) Let k(d) be the third derivative of d**5/90 + 17*d**4/108 + 10*d**3/27 - 25*d**2. Determine u, given that k(u) = 0. -5, -2/3 Let u(a) be the first derivative of -9*a**5/35 + 3*a**4/28 + 2*a**3/7 - 52. Solve u(c) = 0. -2/3, 0, 1 Let j(k) = k**3 - 3*k**2 - 3*k. Suppose 0 = -3*y + 13 - 1. Let u be j(y). Suppose 0*r + 8/3*r**5 + 0 + 2/3*r**3 + 8/3*r**u + 0*r**2 = 0. What is r? -1/2, 0 Let s = 83/2 - 41. Find m such that 0*m + 1/2*m**2 + 0 + 0*m**3 - s*m**4 = 0. -1, 0, 1 Suppose 2*u + 10 = 4*u. Suppose -9 = -3*q, -u*g - 3*q + 0*q + 9 = 0. Factor -1/5*y**4 + 0*y**3 + 0*y**2 + g + 0*y - 1/5*y**5. -y**4*(y + 1)/5 Let l(q) be the third derivative of 3*q**5/80 + q**4/16 + 16*q**2. Factor l(c). 3*c*(3*c + 2)/4 Factor 0*l + 0*l**3 - 2/7*l**4 - 2/7 + 4/7*l**2. -2*(l - 1)**2*(l + 1)**2/7 Let i = 1/73 - -214/365. Solve -i*a**2 - 3/5*a**4 - 6/5*a**3 + 0 + 0*a = 0 for a. -1, 0 Let k(r) = r**4 - r**3 - r**2 + r + 1. Let v(u) = -4*u**3 + 4*u + 2. Let c(p) = 2*k(p) - v(p). Factor c(y). 2*y*(y - 1)*(y + 1)**2 Let c(m) = 2*m - 2. Let k be c(2). Let v be (2/k)/(1/2). Suppose 0*w - 2 + 3*w - w - 6*w - v*w**2 = 0. What is w? -1 Let l(j) be the second derivative of -j**8/4200 + j**6/900 + j**3/6 - 2*j. Let h(m) be the second derivative of l(m). Factor h(k). -2*k**2*(k - 1)*(k + 1)/5 Let o(a) be the first derivative of a**5/20 - 3*a**4/4 + 9*a**3/2 + a**2 - 4. Let p(b) be the second derivative of o(b). Determine r, given that p(r) = 0. 3 Let t(b) be the second derivative of b**7/5040 - b**6/1440 - b**4/6 - 3*b. Let l(p) be the third derivative of t(p). Factor l(j). j*(j - 1)/2 Factor -4/3*q - 2/3*q**3 - 2*q**2 + 0. -2*q*(q + 1)*(q + 2)/3 Let i(b) be the second derivative of -b**9/52920 + b**8/23520 - 5*b**4/12 - 7*b. Let f(m) be the third derivative of i(m). Solve f(x) = 0. 0, 1 Let -1 - l - 1/4*l**2 = 0. Calculate l. -2 Factor -4*f**2 + 7*f**2 + f**2 - 2*f - 2*f**3. -2*f*(f - 1)**2 Suppose 0 = -f + 4. Factor -2*w**3 + w**4 - f*w**5 - 9*w**4 + 2*w**4. -2*w**3*(w + 1)*(2*w + 1) Let c(g) be the first derivative of -g**5/60 - g**4/18 - g**3/18 - 3*g + 2. Let q(p) be the first derivative of c(p). Let q(b) = 0. Calculate b. -1, 0 Let n be 6/63*-138*3/(-6). Determine r so that 60/7*r - n*r**2 + 8/7*r**3 + 18/7 = 0. -1/4, 3 Let k(h) be the second derivative of 1/12*h**4 + 0*h**2 + 0 + 3*h + 1/90*h**6 + 1/18*h**3 + 1/20*h**5. Find n such that k(n) = 0. -1, 0 Let n be (-1)/(-4) - (-11)/4. Factor -155*l**2 + 155*l**2 - n*l**5 + 3*l**3. -3*l**3*(l - 1)*(l + 1) Let c(h) = 4*h**4 + h**3 - 5*h**2 - 5. Let b(m) = -m**3 - 3 + 6 + 0 + 4*m**2 - 3*m**4 + 1. Let o(r) = -5*b(r) - 4*c(r). Determine y so that o(y) = 0. 0, 1 Suppose -20 = -5*y + p - 2*p, -5*p = -4*y + 45. Suppose 0 = 6*n - n + y*j - 45, 5*n - 4*j = 0. Factor 2/5*o**5 + 0 - 4/5*o**3 + 0*o**2 + 0*o**n + 2/5*o. 2*o*(o - 1)**2*(o + 1)**2/5 Let x = -7 + 10. Let w = 6 - x. Determine l, given that 2 + 2*l**2 - 4*l**2 - l + 3*l - 2*l**w = 0. -1, 1 Let y be (0 - -4)/((-4)/(-6)). Suppose 2*m + 20 = y*m. Solve 7 + 31*a + 80*a**2 - 3 + 100*a**3 + 60*a**4 - a + 14*a**m = 0 for a. -1, -2/7 Let h(y) be the first derivative of y**5/210 + y**4/84 + 3*y**2/2 + 6. Let n(b) be the second derivative of h(b). Factor n(f). 2*f*(f + 1)/7 Determine v so that -4/11*v**4 + 6/11*v**2 + 6/11*v**3 + 0 - 4/11*v = 0. -1, 0, 1/2, 2 Let p(w) be the second derivative of -w**7/21 - 2*w**6/15 + w**4/3 + w**3/3 - 6*w. Find q, given that p(q) = 0. -1, 0, 1 Let r(g) be the third derivative of -g**5/15 + g**4/6 - 2*g**2. Solve r(y) = 0. 0, 1 Factor 24/11 + 2/11*d**2 - 14/11*d. 2*(d - 4)*(d - 3)/11 Factor 5*q**5 + 11*q + 4*q**2 - 10*q**4 - 11*q + 4*q**3 - 3*q**4. q**2*(q - 2)*(q - 1)*(5*q + 2) Let d(t) be the second derivative of -t**9/5040 + t**7/840 - 5*t**4/12 + t. Let r(s) be the third derivative of d(s). Suppose r(f) = 0. What is f? -1, 0, 1 Let s(f) be the second derivative of 0*f**2 + 0 - 7*f + 1/48*f**4 + 0*f**3 + 7/160*f**5. Suppose s(n) = 0. Calculate n. -2/7, 0 Factor -2/5 + 2/5*a**2 - 2/5*a**3 + 2/5*a. -2*(a - 1)**2*(a + 1)/5 Let g(n) be the first derivative of n**4/12 - n**2/2 - 2*n/3 + 8. Suppose g(x) = 0. What is x? -1, 2 Let w be (-2 + 4)*6/3. Factor 0*c**2 + 0 + 0*c**3 + 0*c - 1/3*c**w. -c**4/3 Factor -1/4*a**3 + 0*a + 0 - 1/2*a**2. -a**2*(a + 2)/4 Let r = 1/17 - -31/51. Suppose -2/3 - 1/3*q + r*q**2 + 1/3*q**3 = 0. Calculate q. -2, -1, 1 Let n(x) = 4*x**3 + 19*x**2 + 43*x + 32. Let d(r) = 2*r**3 + 9*r**2 + 21*r + 16. Let v(h) = -5*d(h) + 3*n(h). Suppose v(k) = 0. Calculate k. -2 Let x(i) = -i**2 + 3*i + 1. Let k be 6*(15/6)/5. Let h be x(k). Find u, given that -3 - u**3 + 3*u**3 + 2*u**2 + h - 2*u = 0. -1, 1 Let y be ((-14)/4)/(6/(-1428)). Let s = 7513/9 - y. Factor -308/9*i**2 + s - 40/9*i + 98*i**3. 2*(7*i - 2)**2*(9*i + 2)/9 Let c(h) be the first derivative of -486*h**3/5 - 108*h**2/5 - 8*h/5 - 27. Let c(s) = 0. Calculate s. -2/27 Let w(o) be the second derivative of -5*o**4/36 - 5*o**3/6 - 5*o**2/3 + 10*o. Let w(s) = 0. Calculate s. -2, -1 Let i = 2 + 0. Factor 2*c**3 + c**2 - c**2 - i*c**2. 2*c**2*(c - 1) Factor -2/3*o**3 - 2/3*o**2 + 0 + 4/3*o. -2*o*(o - 1)*(o + 2)/3 Let o(s) be the second derivative of -s**4/12 - s**3/6 - s**2/2 + s. Let r(x) = -2*x + 5*x + 0*x**2 + 15 - 10 + x**2. Let p(i) = -3*o(i) - r(i). Factor p(h). 2*(h - 1)*(h + 1) What is t in -1/5*t**3 - 3/5*t - 1/5 - 3/5*t**2 = 0? -1 Let d(h) = -51*h**3 - 231*h**2 - 471*h - 249. Let k(f) = -5*f**3 - 23*f**2 - 47*f - 25. Let g(r) = 2*d(r) - 21*k(r). Find p such that g(p) = 0. -3, -1 Let a(o) = -9*o**4 + 9*o**3 - 12*o**2. Let t(w) = 19*w**4 - 18*w**3 + 25*w**2. Let r(u) = -13*a(u) - 6*t(u). Find p, given that r(p) = 0. 0, 1, 2 Let s(v) be the second derivative of -1/40*v**5 - 1/6*v**3 + 1/8*v**4 + 0*v**2 + 6*v + 0. Factor s(l). -l*(l - 2)*(l - 1)/2 Let j be 1*(-12)/(-46) - 0. Let d = j + 16/115. Determine q, given that d*q**3 + 4/5*q**2 + 2/5*q + 0 = 0. -1, 0 Let c(i) be the third derivative of -i**7/420 - i**6/240 + 2*i**2. Solve c(k) = 0 for k. -1, 0 Let z(o) = 2*o. Let r be z(1). Find u such that 1/5*u**r - 1/5*u + 0 = 0. 0, 1 Let c(y) be the second derivative of 3*y + 0 + 2/9*y**3 + 1/18*y**4 + 0*y**2 - 1/30*y**5. Factor c(n). -2*n*(n - 2)*(n + 1)/3 Let d(m) = m - 8. Let y(f) = 2*f - 17. Let g(a) = 9*d(a) - 4*y(a). Let o be g(6). Factor 3*t - t**2 + o - 3*t - t**2. -2*(t - 1)*(t + 1) Let f(s) be the third derivative of s**5/300 - s**4/12 + 5*s**3/6 - 3*s**2. Let f(b) = 0. Calculate b. 5 Let t(k) be the first derivative of k**4/12 - k**3/9 + 21. Solve t(a) = 0 for a. 0, 1 What is t in 0 - 10/3*t**4 + 4/3*t - 2/3*t**2 - 16/3*t**3 = 0? -1, 0, 2/5 Let v(t) be the first derivative of -t**4 - 8*t**3/3 + 6*t**2 - 8. Find o such that v(o) = 0. -3, 0, 1 Solve -5/2*i**2 + 2*i**3 + i + 0 - 1/2*i**4 = 0 for i. 0, 1, 2 Factor -3*h**3 + 4*h**5 + 390*h - 8*h**3 + 3*h**3 - 386*h. 4*h*(h - 1)**2*(h + 1)**2 Let g(i) be the first derivative of -1/16*i**4 + 1/6*i**3 - 1/8*i**2 + 0*i - 3. What is c in g(c) = 0? 0, 1 Let j be (13 - (-21)/(-7))*(-2)/(-6). Suppose 8*s - 8/3 - j*s**2 = 0. Calculate s. 2/5, 2 Let c(s) be the first derivative of -s**4 - 8*s**3/3 - 2*s**2 + 3. Let c(v) = 0. Calculate v. -1, 0 Solve -20 - 2*c**2 + 5*c - 15 + 33 = 0 for c. 1/2, 2 Suppose -j + 2*v = -3*j + 14, 0 = v + 3. Suppose -j = -3*g - 1. Factor 0*w**3 - 3*w**3 + w - g - 4*w**2 + 5. -(w + 1)**2*(3*w - 2) Let s(w) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
sqrt(475) - sqrt(475) - sqrt(475)))))**2. 15680*sqrt(19) + 1490384 Simplify (-6*(-2*sqrt(76)*2 - ((sqrt(76) - -6*-1*sqrt(76)) + sqrt(76))))/((sqrt(28)/sqrt(7) + sqrt(4))*-2 + (sqrt(400)*-2 - sqrt(4))). 0 Simplify 5*(-4*6*(-1 + (-4 + -2 + sqrt(343))**2 + 5) + 0). -45960 + 10080*sqrt(7) Simplify 2*((-3*sqrt(891)*-1 - (sqrt(891) - sqrt(891)*-1)*-2 - (-5*(sqrt(891) + 0) + 1))*-4 + 4)**2. -13824*sqrt(11) + 4105856 Simplify 4*(2*sqrt(209)*-3*-1)/(-5*-5*sqrt(891)). 8*sqrt(19)/75 Simplify ((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2)*5 + sqrt(88)))/(sqrt(4) + 1*sqrt(20)/sqrt(5)))/(((sqrt(44) - sqrt(6336)*-3) + sqrt(44))*-4). sqrt(2)/38 Simplify 5*-5*-5*((sqrt(84)/sqrt(175) - 5*(sqrt(12) + -3)) + 3). -1200*sqrt(3) + 2250 Simplify -4 + ((sqrt(1300) - (sqrt(1300) + sqrt(1300)*5))*-1)/((sqrt(576)*-5 - sqrt(36))/sqrt(9)). -25*sqrt(13)/21 - 4 Simplify (-3*3*(sqrt(171) + -3*sqrt(171)*3 - sqrt(171)))/((sqrt(486)/(sqrt(36)/sqrt(4)))/(2*sqrt(294))). 1134*sqrt(19) Simplify (-6*(1*((0 + 1*sqrt(832) - sqrt(832)) + sqrt(832)) + ((sqrt(832) - sqrt(832)*2) + -5 - (-1*sqrt(832)*1 - sqrt(832))) + 3))**2. -2304*sqrt(13) + 119952 Simplify 4*(2 + -3 + 0 + (5 + (sqrt(468) - (sqrt(468) - (sqrt(468) + -1))) - ((-1 + sqrt(468))*-6)**2))*4. -270096 + 7008*sqrt(13) Simplify ((6*sqrt(16)/sqrt(2) - (sqrt(512) + sqrt(32))) + 1*sqrt(72)*-1)/(-3*(-6*3*sqrt(4) + -2*sqrt(484))). -7*sqrt(2)/120 Simplify ((sqrt(170)/(5*sqrt(20)/sqrt(2)) - sqrt(187)/(sqrt(11)*2)*2) + (sqrt(1377)*2*3 + (-6*(-1 + sqrt(1377)) - sqrt(1377)) + sqrt(1377))*-4)**2. 192*sqrt(17)/5 + 14672/25 Simplify ((sqrt(675) + -6*sqrt(675)*1)*2)/(-1*sqrt(324)*1 - (sqrt(324) - sqrt(324)*2 - sqrt(324))*5). -25*sqrt(3)/27 Simplify ((sqrt(720) - -4*-2*sqrt(720) - sqrt(720)) + (sqrt(720) + -2 + sqrt(720) + 2 - sqrt(720)) + 2)**2*-6 + 2. -211702 + 2016*sqrt(5) Simplify -2*(-3*(-1 + 0 + sqrt(405)))**2 + -1*((sqrt(320)*-1)**2 + -4 + 0). -7624 + 324*sqrt(5) Simplify (sqrt(1000)*-4 - (sqrt(280)/sqrt(7)*-6 - sqrt(40)))/((5*sqrt(24))/sqrt(3) + (sqrt(8) - 3*(sqrt(32) + sqrt(8))) + sqrt(8)). 13*sqrt(5)/2 Simplify ((-2 + sqrt(405) + -2 + 5*(sqrt(405) + -1))*6 + 0 + -5)**2 + 2. -38232*sqrt(5) + 528363 Simplify (-2*sqrt(280)*-1*-1)/(sqrt(30)/(-2*sqrt(3)) + sqrt(1440)*2). -8*sqrt(7)/47 Simplify 1*(sqrt(720)*2*-1 - (sqrt(720) + -3 + sqrt(720) + 0) - -5*(5 + sqrt(720) + -1))**2*-1. -1249 - 552*sqrt(5) Simplify -3*((sqrt(300) + -4 + 0 + sqrt(300) + sqrt(300) + 3)*2 + -2)**2 + 5. -32443 + 1440*sqrt(3) Simplify 1 + 5*(-2 + 5 + (2*sqrt(1300) - sqrt(1300))) + 1. 17 + 50*sqrt(13) Simplify (3 + sqrt(162) + -2 + sqrt(162) + -2 + 1 + sqrt(162) - -6*-5*(3 + sqrt(162)))**2*-3*3. -1135782 - 393660*sqrt(2) Simplify (-6*(-5 + sqrt(1008) + sqrt(1008) + -1) + 3 + 2 + -1)**2*-2. -293504 + 23040*sqrt(7) Simplify -5*((5 + sqrt(304)*3 + -4)**2 + 3*(-3 + sqrt(304)) + -5). -13615 - 180*sqrt(19) Simplify (-1*sqrt(32)*4)**2 - (sqrt(800) + 0) - ((sqrt(288) + sqrt(288)*-2 + sqrt(288))*5)/(sqrt(441)*2). -20*sqrt(2) + 512 Simplify ((-2 + (2*sqrt(108)*-5 + sqrt(108) - (2*sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108))*6) + 4 + -5)*5)**2. 35100*sqrt(3) + 4106925 Simplify 4*(-5*3*sqrt(136) + 5*sqrt(136)*1)/(-4*(sqrt(288) + -2*sqrt(288)*1 - sqrt(288) - sqrt(288) - sqrt(288))). -5*sqrt(17)/12 Simplify -4*(1 + (4*(sqrt(1300) + 0))**2 - (5*sqrt(130)/(sqrt(10) - (sqrt(10) + sqrt(90)/(sqrt(36)/sqrt(4)))))**2). -81904 Simplify 1*(((sqrt(270) - 1*sqrt(270))/sqrt(5))/sqrt(9))/(sqrt(363)*1*-5)*2. 0 Simplify 3 + (-5*(2*sqrt(637) + 0))**2 + (sqrt(1573) + 1*-2*sqrt(1573) + sqrt(1573) + sqrt(1573) - sqrt(1573)) + 4. 63707 Simplify (-5*((sqrt(80) + -1)*-1 + sqrt(80) + 1 + 2))**2 - (3*(-1*sqrt(245))**2 + (2*sqrt(20))**2 + -2). -413 Simplify (3 + (1 + (sqrt(684) + 3)*3 - ((sqrt(684) + 1 + -5 - sqrt(684)) + 2)) + 4)**2. 684*sqrt(19) + 6517 Simplify ((sqrt(3645)*-2 - sqrt(45))/(sqrt(36)/sqrt(4)*1) - ((sqrt(5) - (1*sqrt(5) - sqrt(5)))*-3 + 4 + -2*sqrt(5)))**2. 112*sqrt(5) + 996 Simplify ((1*(sqrt(704) + 0 + 0) - (-1 + (-5 + -2*sqrt(704))**2)) + 1 + -3)*6. -17052 - 912*sqrt(11) Simplify -5 + ((2 + sqrt(704) - sqrt(11)) + -5 + -3 - (4 + -1*sqrt(704) - (-5 + sqrt(704)*1 + sqrt(704))))**2. -930*sqrt(11) + 10791 Simplify 3*(1 + ((-1 + sqrt(1377) + -2*sqrt(1377))*4*3)**2 + 2). 7776*sqrt(17) + 595305 Simplify -1 + (4 + (-3*-1*sqrt(95) + (sqrt(95) - 5*-2*sqrt(95) - sqrt(95)))/(sqrt(125)*1*2))**2. 52*sqrt(19)/5 + 4711/100 Simplify (1*6*((sqrt(1008) + 0)*-4 + -2*sqrt(1008)*6 + 5) + -3 + 2)**2. -66816*sqrt(7) + 9290569 Simplify -2 + 3*(sqrt(52)/(-3*sqrt(4))*-3 + 1 + -1 + sqrt(78)/sqrt(6))*-5. -30*sqrt(13) - 2 Simplify 1*(sqrt(108) + 4*sqrt(108) + -4 + 1 - (2 + sqrt(108) + 2)*-3)**2. 864*sqrt(3) + 6993 Simplify (2*(-1 + sqrt(275) + 1 + sqrt(275))*-5 + (-4*(-2 + sqrt(275) + sqrt(275)) - (sqrt(275) - (-1 + sqrt(275)*-2))))**2. -2170*sqrt(11) + 264324 Simplify 3 + -2*((sqrt(81)*-3)/sqrt(3) - (4 + 2 + sqrt(300)))**2. -2235 - 456*sqrt(3) Simplify (-5*((-1 + sqrt(891) + -4 - -6*(sqrt(891) + 2)) + (-4 + sqrt(891) + 0 - sqrt(891)) + -4 + sqrt(891) + -2 + sqrt(891) + sqrt(891)))**2. -13500*sqrt(11) + 2227725 Simplify 2*((sqrt(980) - (-5*sqrt(980)*-5 + sqrt(980)))/((sqrt(1440) + (sqrt(1440) + sqrt(1440) + 5*sqrt(1440) + sqrt(1440) - sqrt(1440)))/sqrt(4)))**2*-3. -30625/192 Simplify (-4 + (6*3*sqrt(325) + -3 - (sqrt(325) - (4 + sqrt(325)*-1) - (3 + 2*sqrt(325)))))**2*-3. -315900 Simplify (-5*4*-4*(sqrt(931) + 1*sqrt(931))*-5*-4)**2*-2 + 0. -19066880000 Simplify 0 + ((-3*sqrt(117)*1 - 3*(sqrt(117) + (-2*sqrt(117) + sqrt(117) - sqrt(117)) - sqrt(117)))/(3*-5*(sqrt(144) + sqrt(9))))**2*5. 13/125 Simplify 5*(((2*sqrt(5040))/(sqrt(20)/sqrt(4)*-4))**2 + 0)*-2*-3. 7560 Simplify (3 + (sqrt(2299) + sqrt(2299) + sqrt(2299)*-1 + 1 - (5 + sqrt(2299) + 5))**2)*-6. -504 Simplify (2 + sqrt(1088)*-2 - (-5 + sqrt(1088)*-1)**2) + -3 + -3*((1 + sqrt(1088) + 4)**2 - (-2*sqrt(1088) + -4)**2). 48*sqrt(17) + 8651 Simplify (sqrt(88)*-2*5)/(5*sqrt(32)) + (1*(sqrt(891) + sqrt(891) + -1 - sqrt(891))**2 - (sqrt(891) - (sqrt(891)*2 + 3))) + 4. -10*sqrt(11) + 899 Simplify (-4*sqrt(3400)*3)/(-3*sqrt(20)/sqrt(10)*-5). -8*sqrt(17) Simplify -5*((-1*sqrt(72)/sqrt(3) - sqrt(24)) + sqrt(384)*-3)/(2*(sqrt(2) + (sqrt(12)*-3 - sqrt(12))/sqrt(6))*-5). 14*sqrt(3)/3 Simplify ((-2*(sqrt(171) + 0 + sqrt(171)))**2 + 1 + (1*sqrt(2736) + 4)**2*-2)*-1. 192*sqrt(19) + 2767 Simplify 5*-6*(6*((sqrt(931)*3 - sqrt(931)) + sqrt(931))*6 + -2)**2 + -4. -325775644 + 90720*sqrt(19) Simplify ((sqrt(48)*-1 + sqrt(12))/(sqrt(6) + (sqrt(6) - (sqrt(36)/(sqrt(6)*-1) - sqrt(6)))) - (0 + (sqrt(2304)*4 - sqrt(2304))/sqrt(8)))*6. -435*sqrt(2)/2 Simplify (-1 + 2*sqrt(4032)*-5 - ((3*sqrt(4032)*2 - sqrt(4032))**2 + ((sqrt(4032) + sqrt(4032) + -2)*-5)**2)) + 2. -504099 + 4560*sqrt(7) Simplify (-5*((sqrt(1700) + (sqrt(1700) - (sqrt(1700) + -1 + -4)))*2 + 0 + (sqrt(1700) - (0 + sqrt(1700))) + -5)*-4)**2. 80000*sqrt(17) + 2730000 Simplify (-4*(sqrt(33) - -4*sqrt(33)) + sqrt(33) + sqrt(297)/sqrt(9)*-1)/((-6*-2*sqrt(66) - sqrt(66))/(sqrt(294)*1)). -140*sqrt(3)/11 Simplify ((sqrt(76)/sqrt(2)*1)/(2*sqrt(72) + sqrt(2)) - 2*2*sqrt(304)*-4)**2. 13183891/169 Simplify ((sqrt(132) - (sqrt(132) - (sqrt(132) + (sqrt(132) - (sqrt(132) - 6*sqrt(132)*1)))))*-1)/((sqrt(99)/sqrt(3))/sqrt(3) + -1*sqrt(99)). 7*sqrt(3) Simplify -2 + ((sqrt(77)*2*1)/(sqrt(55)/(sqrt(5) + 2*sqrt(5))))**2 + (sqrt(49)/((sqrt(63)*-4)/sqrt(9)))**2*2. 2007/8 Simplify ((1*sqrt(162))/(4*sqrt(96)))**2 - (sqrt(1458)*1 - sqrt(1458) - sqrt(1458))/(-1*-2*sqrt(6) + sqrt(6)). 27/256 + 3*sqrt(3) Simplify ((sqrt(128) + (sqrt(128) - -5*-1*sqrt(128) - sqrt(128)))/(sqrt(64)/sqrt(4)))**2 - (sqrt(12)/(sqrt(24)*1) - (sqrt(198)*-1)/sqrt(11)). -7*sqrt(2)/2 + 128 Simplify ((((2*sqrt(21) + sqrt(21) - sqrt(21))*-6)/(sqrt(49)/(-1*sqrt(7))) + ((1 + sqrt(243))*-2 - ((4 + sqrt(243)*1 - sqrt(243)) + sqrt(243))))*-2)**2. 720*sqrt(3) + 2844 Simplify -2 + -5 + ((0 + 2*sqrt(343) + -5*sqrt(343)*1)*-2)**2 + 2 + 2. 12345 Simplify (sqrt(480)*2)/((-2*sqrt(216) - sqrt(216)) + sqrt(216)) + (sqrt(1225) + sqrt(1225)*1)/(sqrt(180)/sqrt(4) + sqrt(5)). 17*sqrt(5)/6 Simplify ((sqrt(500) - 4*(sqrt(500) + (sqrt(500)*1 - sqrt(500))))*3)/((sqrt(90)*-2 - sqrt(90))/sqrt(9) - (sqrt(10) + sqrt(90)/(sqrt(9) - sqrt(36)))). 15*sqrt(2) Simplify 2*-3*(-1 + sqrt(800) + 2 + 3 + 0 + sqr
{ "pile_set_name": "DM Mathematics" }
39 and 413? 59 Calculate the highest common factor of 4140 and 3529820. 20 What is the greatest common factor of 3890894 and 1519? 49 What is the highest common divisor of 1105 and 1597075? 5 Calculate the highest common factor of 1090089 and 71071. 1001 What is the highest common divisor of 13924 and 3770100? 236 What is the greatest common divisor of 55347 and 11381091? 2913 What is the greatest common divisor of 501 and 71581711? 167 Calculate the highest common divisor of 11438664 and 30. 6 Calculate the greatest common divisor of 9095343 and 11028. 2757 What is the greatest common factor of 280943858 and 1898? 1898 What is the greatest common divisor of 24651 and 9504? 297 Calculate the highest common divisor of 95034 and 2452686. 2022 Calculate the highest common divisor of 432660831 and 5394. 2697 Calculate the highest common divisor of 318835 and 799. 17 What is the greatest common divisor of 999909718 and 778? 778 Calculate the highest common divisor of 504940431 and 2697. 2697 Calculate the greatest common divisor of 463661 and 818144. 691 What is the greatest common divisor of 5936827 and 2? 1 Calculate the highest common factor of 9030588 and 420. 84 What is the greatest common factor of 104 and 165410600? 8 Calculate the greatest common divisor of 60826 and 70074. 34 What is the greatest common divisor of 91575 and 10215? 45 What is the highest common factor of 62422 and 1089740? 1058 What is the highest common divisor of 585 and 41904486? 117 Calculate the highest common factor of 7963340 and 15. 5 What is the greatest common divisor of 79140 and 197580? 60 Calculate the highest common divisor of 26845 and 159869645. 3835 Calculate the highest common factor of 72930 and 11381370. 4290 Calculate the greatest common factor of 5 and 29324455. 5 Calculate the highest common divisor of 6484371 and 438. 219 What is the greatest common divisor of 110670 and 41874315? 1785 What is the highest common divisor of 2415 and 4776030? 105 Calculate the greatest common factor of 1370 and 161038979. 137 What is the highest common divisor of 4216891 and 123697? 287 Calculate the greatest common divisor of 3117 and 79463759. 1039 What is the greatest common divisor of 7470 and 20838810? 2490 What is the greatest common divisor of 25 and 57750700? 25 Calculate the highest common divisor of 1335 and 487023130. 445 Calculate the highest common divisor of 1869219 and 19197. 711 What is the greatest common divisor of 62907 and 1183? 13 Calculate the greatest common divisor of 7721139 and 3999. 93 What is the greatest common factor of 9131467 and 89693? 257 What is the highest common factor of 205597 and 1127? 161 Calculate the highest common factor of 324 and 201756. 12 Calculate the greatest common factor of 548086 and 616. 154 What is the highest common factor of 63 and 11192004? 9 Calculate the greatest common factor of 84836370 and 30. 30 What is the greatest common factor of 690943 and 27324? 253 What is the highest common divisor of 15169840 and 1064? 56 Calculate the greatest common factor of 1064 and 1804292. 28 What is the greatest common divisor of 24 and 127405936? 8 What is the greatest common divisor of 140822 and 50703532? 3806 What is the highest common divisor of 75 and 2881625? 25 What is the greatest common factor of 276974 and 4089749? 1753 Calculate the highest common factor of 19190 and 5158070. 1010 Calculate the greatest common divisor of 1173 and 665367. 69 What is the greatest common divisor of 2991814 and 1015? 203 What is the greatest common factor of 316880 and 181050? 170 What is the highest common divisor of 141070 and 3770? 10 Calculate the greatest common factor of 46122 and 48402. 6 What is the greatest common divisor of 29199401 and 1221? 407 Calculate the greatest common divisor of 15995 and 63400. 5 Calculate the greatest common divisor of 8768691 and 954. 477 Calculate the greatest common factor of 5 and 18352745. 5 What is the highest common factor of 9403548 and 1428? 84 Calculate the greatest common factor of 55 and 58305830. 55 What is the greatest common divisor of 1 and 5534159? 1 Calculate the greatest common divisor of 6325 and 5629756. 253 What is the greatest common factor of 17131455 and 3498? 1749 What is the greatest common divisor of 21074 and 25? 1 Calculate the highest common divisor of 2566813930 and 190. 190 Calculate the greatest common divisor of 28221 and 1187736. 1227 Calculate the greatest common divisor of 9169716 and 582. 6 Calculate the highest common divisor of 34386 and 537438. 66 Calculate the highest common divisor of 14 and 88155466. 14 Calculate the highest common divisor of 250317 and 531513. 657 Calculate the highest common factor of 317093258 and 236. 118 Calculate the highest common divisor of 6751458 and 1378. 106 Calculate the highest common divisor of 209250 and 10702125. 3375 What is the greatest common factor of 3806260 and 100? 20 Calculate the greatest common factor of 329150 and 2175. 725 What is the greatest common factor of 240 and 773985? 15 What is the highest common divisor of 14 and 45073238? 14 What is the highest common divisor of 12 and 126456348? 12 Calculate the highest common divisor of 4316500 and 14356. 388 Calculate the highest common factor of 122962580 and 7320. 1220 What is the greatest common factor of 103105 and 155470210? 6065 What is the greatest common factor of 2485392 and 1238328? 2184 Calculate the highest common divisor of 958427 and 5752. 719 What is the highest common divisor of 138 and 120420686? 46 What is the highest common divisor of 31667008 and 117952? 6208 What is the highest common divisor of 134887928 and 1904? 952 Calculate the highest common divisor of 4368 and 914823. 273 What is the highest common divisor of 91300 and 57660100? 8300 What is the highest common divisor of 51513 and 151194? 669 Calculate the greatest common divisor of 45694562 and 2563. 233 Calculate the greatest common factor of 978661 and 506371. 173 What is the highest common divisor of 11125686 and 936? 78 Calculate the highest common factor of 22 and 189465485. 11 Calculate the highest common divisor of 892 and 18122987. 223 What is the greatest common divisor of 2 and 156723506? 2 What is the greatest common factor of 741 and 191501? 19 Calculate the greatest common factor of 3568 and 7399984. 16 Calculate the greatest common divisor of 1312 and 1280717. 41 Calculate the greatest common divisor of 241413 and 1935. 3 What is the highest common divisor of 10115 and 1820700? 10115 Calculate the highest common divisor of 2003177 and 55. 11 Calculate the greatest common divisor of 824 and 29599728. 824 What is the greatest common divisor of 1617708 and 10848? 1356 What is the highest common divisor of 546 and 15451566? 78 What is the greatest common divisor of 430 and 19689830? 10 Calculate the greatest common divisor of 117 and 84476886. 39 Calculate the highest common divisor of 48024 and 8506872. 1656 Calculate the greatest common factor of 7894876 and 748. 44 What is the greatest common factor of 16806 and 142860? 6 Calculate the greatest common divisor of 9676 and 3409492. 236 What is the highest common divisor of 116 and 70135340? 116 Calculate the greatest common factor of 1971152 and 1873432. 2792 What is the highest common factor of 34210850 and 800? 50 Calculate the greatest common factor of 10220 and 120070. 10 What is the greatest common divisor of 2392 and 21269144? 104 What is the highest common divisor of 516012 and 1988? 28 What is the highest common divisor of 1565138 and 8540? 122 What is the highest common factor of 3691991 and 2115? 47 What is the highest common divisor of 934260 and 29210? 230 Calculate the greatest common divisor of 2394540 and 8032. 1004 Calculate the greatest common factor of 53318 and 6845830. 1006 Calculate the highest common factor of 6244551 and 466335. 2169 Calculate the greatest common divisor of 73664494 and 1364. 62 What is the highest common factor of 235827571 and 651? 217 What is the highest common factor of 7144 and 12118292? 188 What is the greatest common divisor of 639 and 43523? 71 Calculate the highest common divisor of 43746 and 4899. 69 What is the greatest common factor of 31101903 and 12915? 2583 What
{ "pile_set_name": "DM Mathematics" }
tive of -166580*v**2 + 2*v - 190453? -333160 What is the third derivative of 678*b**2*n**4 + b**2 - 4*b*n**3 - 2276*b*n**2 - 3*b + 3*n**3 + 4*n wrt n? 16272*b**2*n - 24*b + 18 What is the second derivative of -2303*n**2 + 1092*n? -4606 Find the second derivative of 2*n**5 - 13*n**3 + 880*n**2 + 204054*n. 40*n**3 - 78*n + 1760 Differentiate 86107*d*i*o**2 - i*o**2 - 17777*i wrt d. 86107*i*o**2 What is the second derivative of 2*i*j**3 + i*j - 420*i - 74*j**3 - 6*j**2 + 191*j + 1 wrt j? 12*i*j - 444*j - 12 What is the second derivative of -28960*d*m**5 + 2*d*m**3 + d*m**2 - 6*d*m + d + 5358*m wrt m? -579200*d*m**3 + 12*d*m + 2*d Find the third derivative of 1256161*i**3 - 2490992*i**2. 7536966 Find the second derivative of 99*j*m**3 + 9018*j*m**2 + 120*j + 7247*m wrt m. 594*j*m + 18036*j Find the second derivative of -208*b**4 + 27*b**2 + 175386*b wrt b. -2496*b**2 + 54 Find the third derivative of 25081*h**4*i - 4*h**4 + 145195*h**2*i - 2*i wrt h. 601944*h*i - 96*h Differentiate -116*m*p**2*y + 94*m*p**2 - 3*m*p*y - 2*m*p + 31*m*y - m + 29*p**2 - p with respect to y. -116*m*p**2 - 3*m*p + 31*m Find the third derivative of 5559976*o**4 - 5166912*o**2. 133439424*o Find the second derivative of -2*j**3 + 405*j**2 + 596*j - 14 wrt j. -12*j + 810 What is the derivative of -1878826*c*v - 65*c - 9110 wrt v? -1878826*c Find the first derivative of 137065*u - 319151 wrt u. 137065 What is the first derivative of 178*w**2*x + 3*w*x + 62*w - 1674788*x wrt w? 356*w*x + 3*x + 62 What is the second derivative of 165246*p**3 - 168354*p wrt p? 991476*p Differentiate 4*h**2*m + 6*h**2 + 8*h*m**2 + h*m - 5835*h - 4*m**3 wrt m. 4*h**2 + 16*h*m + h - 12*m**2 What is the third derivative of -203291*a**3 - 379120*a**2? -1219746 What is the derivative of -6722*b**3 - b**2 + 9*b + 267853 wrt b? -20166*b**2 - 2*b + 9 Find the second derivative of -4*t**5 - 15*t**4 - 9*t**2 + 2066547*t wrt t. -80*t**3 - 180*t**2 - 18 What is the first derivative of -919124*b*d + 17020*d + 40 wrt b? -919124*d What is the third derivative of 1107*w**4 - 4*w**3 + 29735*w**2 + 2*w wrt w? 26568*w - 24 What is the second derivative of 305*f**2*v**2 - 20*f**2*v + 263*f**2 - 16*f*v**2 + f*v + v**2 + v wrt v? 610*f**2 - 32*f + 2 What is the third derivative of 10865*t**4 - 55667*t**2 wrt t? 260760*t Differentiate 9*f**3 + 5*f**2*x + f - 11402*x wrt f. 27*f**2 + 10*f*x + 1 What is the first derivative of -127*n**2*r + 54*n**2 + n - 80454*r wrt n? -254*n*r + 108*n + 1 Find the first derivative of -39415*n**4 - 116049 wrt n. -157660*n**3 What is the third derivative of -2*m**3*o**2*x**3 + 414*m**3*x**2 + 5*m*o*x**2 - 381736*o**2*x**3 + 91*o**2*x wrt x? -12*m**3*o**2 - 2290416*o**2 Find the first derivative of 174598*n - 153741. 174598 What is the derivative of 13*i**4 + 451*i - 34604? 52*i**3 + 451 Differentiate -7*v**2 - 900*v - 756022 wrt v. -14*v - 900 Find the third derivative of -1422*a*b*m**3 - 490451*a*b*m**2 - 448*b*m**3 + b*m wrt m. -8532*a*b - 2688*b What is the third derivative of 18840*c*h**2*n**3 + 3*c*h**2 - 9*c*n**2 + 2*c*n - 198*h*n wrt n? 113040*c*h**2 Find the second derivative of -3*l**4 - 108*l**3 - 6546*l**2 + 125267*l + 12 wrt l. -36*l**2 - 648*l - 13092 What is the second derivative of 25*y**3 + 812*y**2 - 82388*y? 150*y + 1624 What is the second derivative of 232*f**2*o**3 + 72*f**2 - f*o + 8046*f - 2*o**3 wrt f? 464*o**3 + 144 What is the third derivative of 586271*c**2*h**3*r**3 + 3*c**2*h*r**2 + 15*c*h**2*r + 9151*h**2*r**3 - 2*r wrt h? 3517626*c**2*r**3 Find the third derivative of f**6 - 18*f**5 + f**3 + 57*f**2 + 191*f. 120*f**3 - 1080*f**2 + 6 Find the second derivative of -2632829*n**2 + 3441343*n wrt n. -5265658 Find the first derivative of -s**2*t + 18*s**2 + 927*s*t - t - 1493900 wrt s. -2*s*t + 36*s + 927*t What is the derivative of -2850*d**2*j + 129*d**2 - 62*d - 4*j - 2 wrt j? -2850*d**2 - 4 Find the second derivative of 62*o**3*x**5 + 259*o**3*x**2 + 49*o**3*x - 23*x - 132 wrt x. 1240*o**3*x**3 + 518*o**3 Differentiate 86*f*v**3 - 80*f*v**2 - 150974*f with respect to v. 258*f*v**2 - 160*f*v Find the second derivative of -195*a*t**3 - 281*a*t**2 - 204*a*t + 4*a + 3*t**3 + 4*t + 7 wrt t. -1170*a*t - 562*a + 18*t What is the second derivative of -99294*b**2*g**3 - b**2*g**2 + 2*b**2*g + 18559*b*g - b wrt g? -595764*b**2*g - 2*b**2 What is the second derivative of 112056*v**5 - 680404*v wrt v? 2241120*v**3 What is the second derivative of -2238*c**3 + 2*c**2 + 5904*c? -13428*c + 4 What is the second derivative of -12*f**4 + 43279*f**2 + 3*f - 673033 wrt f? -144*f**2 + 86558 Find the second derivative of -234*i**2*y**3 - 17599*i**2*y - i**2 + 3651*i*y**4 + y + 2 wrt y. -1404*i**2*y + 43812*i*y**2 What is the first derivative of -42136*s + 21947? -42136 Find the first derivative of 246*h**3 - 27*h - 122103 wrt h. 738*h**2 - 27 Find the second derivative of 286938*b**2 + 36*b + 148. 573876 What is the third derivative of 24*o**5 - 89688*o**4*y**3 - 9*o**2*y**3 - 1821*o**2*y + 12*o**2 wrt o? 1440*o**2 - 2152512*o*y**3 Find the third derivative of -41*u**6 - 2487*u**5 + 19685*u**2 - 5 wrt u. -4920*u**3 - 149220*u**2 Find the third derivative of -46493*u**3*y**3 + u**3*y**2 + u**2*y**2 - 2*u*y**2 + u*y - 4*y**3 + 4904*y**2 wrt y. -278958*u**3 - 24 Find the first derivative of -15*k**3*v + 24*k**3 + 23*k**2*v + 764*k**2 - 10*k*v**2 wrt v. -15*k**3 + 23*k**2 - 20*k*v Find the first derivative of -6*b**2*j**2 - 15*b**2*j + 44*b**2 + 157*b + 8*j**3 wrt j. -12*b**2*j - 15*b**2 + 24*j**2 Find the third derivative of -17129*r**4 + 190413*r**2 wrt r. -411096*r What is the third derivative of -1911564*p**6 - 2002547*p**2 wrt p? -229387680*p**3 What is the second derivative of 3*m**5 + 47*m**3 - 26*m**2 - 1050358*m - 2 wrt m? 60*m**3 + 282*m - 52 Find the first derivative of m*s**3 + 2*m*s**2*w - 1412*m*s + 2*m*w + 13*s**3*w + 252*s**2 wrt m. s**3 + 2*s**2*w - 1412*s + 2*w Find the first derivative of -86*k*n**2*p + 11*k*n**2 - 4*k*n - k + 2*n**2*p + 116*n*p + 50 wrt p. -86*k*n**2 + 2*n**2 + 116*n Find the third derivative of -350695*b**2*m**3 + 5*b**2*m + 3*b**2 + 3*b*m**2 + m**2 + 277*m wrt m. -2104170*b**2 Find the third derivative of r**5 - 3*r**4 + 134471*r**3 - 331712*r**2 + 5 wrt r. 60*r**2 - 72*r + 806826 Find the first derivative of 1689994*g*y**3 - y**3 + 4*y**2 + 2*y - 13535 wrt g. 1689994*y**3 What is the third derivative of 6055733*j**4 + 5564223*j**2 wrt j? 145337592*j Find the third derivative of 60*g**3*m*o**2 + g**3*m - g**3*o - 196*g**3 - 38*g**2*m*o**2 - g**2*o**2 + 49*g*m*o + 5*g*o**2 - 2*m wrt g. 360*m*o**2 + 6*m - 6*o - 1176 What is the third derivative of -2*z**6 - 1425*z**5 - z**3 - 4361*z**2 wrt z? -240*z**3 - 85500*z**2 - 6 Differentiate 37945*j + 931694 with respect to j. 37945 Find the third derivative of 5264*c**3*n**5 + 7*c**3*n**4 - 3*c**3*n + 87*c**3 + c**2 + 54*c*n**2 wrt n. 315840*c**3*n**2 + 168*c**3*n Differentiate -164*d**3 + 152*d**2*y + 6*d + 774645*y wrt d. -492*d**2 + 304*d*y + 6 What is the first derivative of -2263*i**2*v + 450*i**2 - 2*i*v - 4*i - 10*v - 10 wrt v? -2263*i**2 - 2*i - 10 Find the third derivative of 1987491*u**4 - 217*u**2 - 204*u - 2 wrt u. 47699784*u Differentiate -l**4*m + 302832*l*m - 145*m - 212 with respect to l. -4*l**3*m + 302832*m Find the third derivative of -746363*g**3 - 334623*g**2 wrt g. -4478178 What is the third derivative of -24*j*m**3*u - 6*j*m**2*u + 1392*j*m*u + m**3*u - 102*m**3 wrt m? -144*j*u + 6*u - 612 What is the first derivative of -80721*u**3 - 2*u**2 + 226689 wrt u? -242163*u**2 - 4*u Find the third derivative of -201815*j**6 + 399496*j**2. -24217800*j**3 Find the second derivative of -137617*c**4*o**3 + 2*c**4 - 8*c*o**3 - c*o**2 - c - 192*o**3 + 7 wrt c. -1651404*c**2*o**3 + 24*c**2 What is the first derivative of 22*g**2 - 159*g - 108137 wrt g? 44*g - 159 Differentiate 4*x**4 + 125*x**2 - 802*x + 1270589. 16*x**3 + 250*x - 802 What is the derivative of 259693*m**3 + 267087? 779079*m**2 What is the second derivative of -73*w**5 - 8*w**4 + 4*w**2 - 334508*w? -1460*w**3 - 96*w**2 + 8 Find the third derivative of -148512*t**4 - 178564*t**2 wrt t. -3564288*t Find the second derivative of 18*b*s**2 - 4*b*s - 908*s**2 - 3589*s wrt s. 36*b - 1816 What is the third derivative of -549*g**3*h**3
{ "pile_set_name": "DM Mathematics" }
ment from {x: 4, p: 2, f: 2, z: 1, g: 1, c: 2}? 16/495 Three letters picked without replacement from jzaujjvjujjzavz. What is prob of picking 2 v and 1 u? 2/455 Three letters picked without replacement from {k: 1, y: 2, i: 3, f: 4, z: 1}. Give prob of picking 2 f and 1 i. 6/55 Two letters picked without replacement from {d: 9, z: 2}. What is prob of picking 2 d? 36/55 What is prob of picking 1 c and 1 v when two letters picked without replacement from {v: 4, h: 2, c: 4, j: 4}? 16/91 Two letters picked without replacement from {l: 3, t: 5, s: 2}. Give prob of picking 2 t. 2/9 Three letters picked without replacement from {q: 1, j: 2, z: 1, w: 1}. Give prob of picking 2 j and 1 w. 1/10 Four letters picked without replacement from {b: 4, w: 7}. Give prob of picking 4 b. 1/330 Calculate prob of picking 2 r and 1 s when three letters picked without replacement from rpsr. 1/4 What is prob of picking 1 m and 3 h when four letters picked without replacement from mhmmhmhmhmhhhhmhmhmm? 80/323 What is prob of picking 2 e when two letters picked without replacement from ejjddeedee? 2/9 Calculate prob of picking 1 o, 1 d, 1 z, and 1 m when four letters picked without replacement from zdmomozdhpmodozod. 9/119 Calculate prob of picking 2 w when two letters picked without replacement from www. 1 Two letters picked without replacement from {e: 15, p: 5}. Give prob of picking 2 e. 21/38 Four letters picked without replacement from ibbbrsssrrrsrsrrsr. Give prob of picking 3 r and 1 i. 14/765 What is prob of picking 3 c when three letters picked without replacement from {c: 5, x: 8}? 5/143 Calculate prob of picking 2 u and 1 s when three letters picked without replacement from {s: 2, u: 10}. 9/22 Calculate prob of picking 1 c and 1 t when two letters picked without replacement from btpucppupcuppuu. 2/105 What is prob of picking 4 c when four letters picked without replacement from uucccccuuccuu? 7/143 Three letters picked without replacement from {o: 3, c: 8}. What is prob of picking 1 o and 2 c? 28/55 What is prob of picking 1 n, 1 s, and 1 m when three letters picked without replacement from {n: 4, d: 2, f: 1, s: 1, m: 2}? 1/15 Calculate prob of picking 1 s and 3 j when four letters picked without replacement from {j: 7, e: 2, s: 1}. 1/6 Two letters picked without replacement from abbyuyaumymmy. What is prob of picking 1 m and 1 y? 2/13 Two letters picked without replacement from xbfxdxxfooxdofdx. What is prob of picking 2 d? 1/40 Two letters picked without replacement from hhzhhhhhhhhhhj. What is prob of picking 2 h? 66/91 Four letters picked without replacement from ahaakazrakzhazk. Give prob of picking 2 z and 2 a. 3/91 What is prob of picking 4 k when four letters picked without replacement from {k: 4}? 1 Three letters picked without replacement from xxxexttxxxe. Give prob of picking 2 x and 1 t. 14/55 What is prob of picking 4 w when four letters picked without replacement from {v: 2, w: 4}? 1/15 Four letters picked without replacement from {s: 3, n: 4, z: 4}. What is prob of picking 2 n and 2 z? 6/55 What is prob of picking 2 a when two letters picked without replacement from dmjjjdajddmpdsjad? 1/136 Calculate prob of picking 2 x when two letters picked without replacement from {x: 6}. 1 Calculate prob of picking 4 j when four letters picked without replacement from {q: 2, w: 4, x: 1, j: 6}. 3/143 Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {g: 1, r: 1, v: 5, h: 2, s: 2, j: 2}. 2/143 What is prob of picking 1 t, 1 x, and 2 b when four letters picked without replacement from uhbxdtthduhbdbbduuh? 1/323 Two letters picked without replacement from {u: 2, x: 4, w: 1}. Give prob of picking 1 u and 1 w. 2/21 Three letters picked without replacement from hhrlrhhll. What is prob of picking 1 l and 2 r? 1/28 Calculate prob of picking 3 u when three letters picked without replacement from juuujuuujuuqjjjuquu. 55/323 Calculate prob of picking 1 f and 2 k when three letters picked without replacement from kkf. 1 Two letters picked without replacement from bhbhbblhbbhhlbbphl. Give prob of picking 1 l and 1 p. 1/51 What is prob of picking 2 o and 1 n when three letters picked without replacement from oononoon? 15/28 Two letters picked without replacement from {u: 8, p: 2}. Give prob of picking 2 u. 28/45 What is prob of picking 1 m and 1 l when two letters picked without replacement from mnmlmmnmnv? 1/9 What is prob of picking 2 g and 2 j when four letters picked without replacement from {g: 2, j: 2, k: 4}? 1/70 Three letters picked without replacement from cxtccccxtxcttc. What is prob of picking 3 c? 5/52 Calculate prob of picking 1 j, 2 n, and 1 b when four letters picked without replacement from {b: 2, n: 3, j: 5}. 1/7 What is prob of picking 1 b and 1 f when two letters picked without replacement from wfllwbqbqbbq? 2/33 Three letters picked without replacement from agyazasgzyzr. Give prob of picking 1 a, 1 y, and 1 z. 9/110 Two letters picked without replacement from {o: 1, u: 1, v: 1, s: 1, h: 9, c: 2}. Give prob of picking 1 o and 1 v. 1/105 Three letters picked without replacement from {m: 6, e: 4, l: 4}. Give prob of picking 3 l. 1/91 Three letters picked without replacement from {s: 4, w: 1, t: 1, c: 4, g: 1}. Give prob of picking 1 w, 1 s, and 1 t. 4/165 Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {q: 2, v: 1, y: 1, r: 5}. 0 Two letters picked without replacement from {w: 1, f: 2, x: 2, a: 1}. What is prob of picking 1 w and 1 x? 2/15 Three letters picked without replacement from {a: 1, p: 2, o: 2, k: 6}. Give prob of picking 1 p, 1 o, and 1 a. 4/165 What is prob of picking 3 l when three letters picked without replacement from {l: 11, o: 9}? 11/76 What is prob of picking 1 z and 2 d when three letters picked without replacement from wddz? 1/4 Two letters picked without replacement from {d: 1, w: 1, r: 1, h: 1, a: 1}. Give prob of picking 1 w and 1 a. 1/10 Four letters picked without replacement from {i: 1, n: 2, y: 1, c: 3, w: 3, z: 2}. Give prob of picking 2 w, 1 n, and 1 z. 4/165 What is prob of picking 1 o and 1 r when two letters picked without replacement from {r: 3, e: 1, o: 1, t: 2, u: 3}? 1/15 Two letters picked without replacement from {q: 2, p: 2, d: 9, a: 1, m: 3}. Give prob of picking 2 m. 3/136 Three letters picked without replacement from {g: 1, r: 1, e: 1, o: 1, t: 2, a: 1}. What is prob of picking 1 e, 1 g, and 1 a? 1/35 Calculate prob of picking 1 w, 1 j, and 1 m when three letters picked without replacement from mpjpopopjojojjwo. 1/112 Two letters picked without replacement from ndsnnyqqhqy. What is prob of picking 1 y and 1 h? 2/55 Three letters picked without replacement from llllhhl. What is prob of picking 2 l and 1 h? 4/7 Two letters picked without replacement from xxxxxjxjx. What is prob of picking 1 j and 1 x? 7/18 What is prob of picking 3 b and 1 p when four letters picked without replacement from {b: 9, p: 2}? 28/55 Three letters picked without replacement from rrrrrrrrrr. Give prob of picking 3 r. 1 Three letters picked without replacement from {f: 3, l: 3}. What is prob of picking 3 f? 1/20 Three letters picked without replacement from {p: 4, z: 2, j: 3, o: 2}. Give prob of picking 1 o, 1 j, and 1 z. 4/55 Calculate prob of picking 4 p when four letters picked without replacement from pppppppppp. 1 Two letters picked without replacement from {b: 6, a: 4}. What is prob of picking 2 a? 2/15 Two letters picked without replacement from ppplplarr. Give prob of picking 2 p. 1/6 Two letters picked without replacement from {r: 1, m: 1, o: 1}. What is prob of picking 1 o and 1 r? 1/3 Two letters picked without replacement from {g: 4, y: 3, o: 3, f: 4}. What is prob of picking 2 y? 3/91 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {y: 2, l: 1, u: 1}. 1/3 Two letters picked without replacement from tppmttmjtmmjttmpj. What is prob of picking 2 t? 15/136 Two letters picked without replacement from {q: 6, t: 1, c: 4}. What is prob of picking 2 q? 3/11 What is prob of picking 2 l and 2 j when four letters picked without replacement from {j: 1, n: 1, x: 1, l: 1, f: 1, u: 2}? 0 Three letters picked without replace
{ "pile_set_name": "DM Mathematics" }
e remainder when r(-6) is divided by (-2)/4 - (-185)/10? 16 Suppose -4*j + 2*u = 2, -2*j + 3*j + 3*u = 17. Let l be 48/22 + (-10)/55. Calculate the remainder when (-2 - -1 - -1) + l is divided by j. 0 Let y = 45 + -32. Let q = -132 - -15. Calculate the remainder when q/((-9)/3) + -1 is divided by y. 12 Calculate the remainder when 2/(-6) + 228/9 is divided by 7. 4 Suppose 0 = 2*y + 3*y - 30. Suppose 3*k + 3 = y. Suppose -3 + k = -w. What is the remainder when w is divided by 1? 0 Let c(v) = -v**3 - 3 - 4*v + 2*v - 2*v. Calculate the remainder when c(-4) is divided by 20. 17 Let z be (-6)/18 - 25/(-3). Let t = 1 + z. Calculate the remainder when 15 is divided by t. 6 Suppose 197 - 6 = 5*i - 2*o, 3*o = 5*i - 189. Let h = -20 + i. What is the remainder when h is divided by 11? 8 Let h(m) = 7*m**3 + m**2 - m. Let y = 3 + 0. Calculate the remainder when h(1) is divided by y. 1 Let b(p) = -8*p - 3. Let q be b(-2). Let w = 16 + q. Let s(o) = o**2 + 7*o - 8. What is the remainder when w is divided by s(-9)? 9 Let m(n) = 7*n**2 - 2*n - 5. What is the remainder when m(-3) is divided by 22? 20 Let u(i) = -i**2 + i + 1. Let s be u(0). Let w = -4 - -3. What is the remainder when 26 is divided by 1/(w/(-10)) - s? 8 Suppose 0*h = -3*h + 36. Suppose 3*x + 4*i - 2 = 6, 4*x = -4*i + h. What is the remainder when x is divided by 3? 1 Suppose 5*p = 0, x + 0*p + p + 67 = 0. Let r = -15 - x. Suppose r = 2*g + 14. What is the remainder when 37 is divided by g? 18 Suppose -4*n - p + 11 = 0, 6 = -5*n - 2*p + 19. Calculate the remainder when n is divided by 3. 0 Let r be (-4)/18 + (-65)/(-9). Let f = -1 + r. Calculate the remainder when f is divided by 4. 2 Suppose -8*l + 3*l + 175 = 0. Calculate the remainder when 103 is divided by l. 33 Let n(c) = c. Let g be n(2). Suppose h + g*v - 38 = 0, -5*h + v + 190 = -v. Let f(i) = i + 13. What is the remainder when h is divided by f(0)? 12 Suppose -11 - 164 = -p. Calculate the remainder when p is divided by 16. 15 Suppose -2*n = -4*f + 3*n + 57, 2*n = -2*f + 6. Let a(d) = -4*d**2 + 27*d - 32. Calculate the remainder when f is divided by a(5). 2 Suppose -5*v + 76 = -4*d, 0*d + 3*d = 2*v - 29. Suppose -2*l = -l - 60. Calculate the remainder when l is divided by v. 12 Let o(y) = -y + 1. Suppose -4*d - 2*f - 16 = 0, -d - 3*d + 4*f = 28. Let k = -8 - d. Calculate the remainder when 6 is divided by o(k). 2 Let m(p) = -12*p + 15*p + 2 + 0 - 2*p**2 - p**3. Let q be m(-3). Suppose q*c - 7*c + 65 = 0. Calculate the remainder when 36 is divided by c. 10 Calculate the remainder when 1*(-3)/(6/(-20)) is divided by (-8)/20 + (-22)/(-5). 2 Let r be 9 - (0/(-3) - 0). Suppose -4*h - 1 = -r. Suppose -24 = -h*w + 8. What is the remainder when 47 is divided by w? 15 Suppose -9 + 2 = -2*q - 3*t, -t + 17 = 2*q. Let h(i) = -2*i - 2. Let l be h(-7). Suppose 0*d - l = -3*d. What is the remainder when q is divided by d? 3 Let r = 119 - 79. What is the remainder when 118 is divided by r? 38 Let z(s) = 2*s**2 + 6*s + 1. Calculate the remainder when z(3) is divided by 19. 18 Suppose 5*k - 25 = -10. Suppose d = 5 - k. What is the remainder when 7 is divided by d? 1 Let g be -17 + (2 + -2 - 3). Let a = 36 + g. What is the remainder when a*((-25)/2)/(-5) is divided by 14? 12 Let k(f) = -2*f. Let w = -6 - -8. Let m(g) = -g**3 - g**2 + 2*g + 1. Let q be m(w). What is the remainder when 27 is divided by k(q)? 13 Let b = 19 + 15. Let v be 56/12 - (-2)/6. Suppose -72 = -4*k - 0*k + 4*s, 0 = 2*k + v*s - 36. Calculate the remainder when b is divided by k. 16 Let g(r) = 2*r + 5. Let m be g(8). Suppose 0 = 5*p - m - 19. What is the remainder when 22 is divided by p? 6 Let q(o) = -7*o**3 - o**2 - o. Calculate the remainder when 50/(-3)*(-30)/25 is divided by q(-1). 6 Let k(u) = 2*u**2 + 20*u - 4. What is the remainder when k(-12) is divided by 24? 20 Let h = 11 - -4. Let z = 2 + 7. Calculate the remainder when h is divided by z. 6 Suppose 0 = -5*a + a + 156. Calculate the remainder when a is divided by 21. 18 Suppose i + 36 = 5*i. Let t(l) be the first derivative of l**4/4 - 10*l**3/3 + 9*l**2/2 + 11*l - 1. What is the remainder when 32 is divided by t(i)? 10 Suppose 11 - 2 = 3*u. Suppose u*g + y + 2*y - 30 = 0, -y = 2*g - 25. What is the remainder when 44 is divided by g? 14 Suppose 18 + 32 = 5*p. Suppose 7*f = -x + 4*f + 20, 5*x + f = 86. What is the remainder when x is divided by p? 7 Suppose -155*p + 158*p = 96. What is the remainder when p is divided by 13? 6 Let m(u) = -u**3 - 11*u**2 - 2*u + 15. Calculate the remainder when m(-11) is divided by 10. 7 Suppose -6 = -2*a - 0. Suppose -a*h + 3 = 2*s + 12, 2*s = -4*h - 10. Let u = s - -10. Calculate the remainder when u is divided by 2. 1 Suppose 6 = 3*a + 3*b, 3*a - 8 = 4*a + 3*b. What is the remainder when a is divided by 3? 1 Suppose -3*j + 2*j = -5. Suppose -4*t = -49 + j. Calculate the remainder when 31 is divided by t. 9 Suppose 0*w - 8 = -4*w. Suppose 8 = 20*d - 16*d. Suppose d*i = f, -f - 2*f - 2*i = -8. Calculate the remainder when w is divided by f. 0 Suppose -41 = -3*d - 8. Calculate the remainder when 43 is divided by d. 10 Let l = -6 - -22. Suppose 0*f + f + 4 = 0. Let u = l - f. What is the remainder when 59 is divided by u? 19 Suppose 0 = 4*b + 3*b - 140. Calculate the remainder when 79 is divided by b. 19 Suppose -5*q + 32 = -3*c, 2*q - 3*c + 0 = 11. Suppose -9*g = -q*g - 8. Calculate the remainder when 15 is divided by g. 3 Suppose -84 = h - 2*h. Let d = h - 52. Calculate the remainder when d is divided by 11. 10 Let l(t) = -t + 3. What is the remainder when l(-8) is divided by 7? 4 Let d(k) = -25*k - 1. Let s = -1 - -2. Let b be d(s). Let c = 22 - b. What is the remainder when c is divided by 17? 14 Suppose -4*o + p - 11 = -2, 0 = o - 5*p + 26. Let d be o - -83 - (-1 + 0). Suppose -d = -5*x - 13. Calculate the remainder when 41 is divided by x. 13 Let o(k) = -8*k - 4. What is the remainder when 53 is divided by o(-4)? 25 Suppose 3*v + 318 = -w + 5*w, -68 = -w - 5*v. Calculate the remainder when w is divided by 28. 22 Suppose 37 = l - 19. Calculate the remainder when l is divided by 19. 18 Suppose 0*n = 4*n - 44. What is the remainder when 43 is divided by n? 10 Let d(y) = y**3 - 7*y**2 + 6*y. Let g be d(6). Let k = 13 + g. Calculate the remainder when 38 is divided by k. 12 Let h(u) = 3*u - 7. Let w be (1/(-2))/(2/(-20)). Suppose w*x = 10 + 100. What is the remainder when x is divided by h(5)? 6 Suppose 8*r - 2*v = 5*r + 87, r - v = 29. Calculate the remainder when 75 is divided by r. 17 Let v(w) = -3*w + 4. What is the remainder when 29 is divided by v(-4)? 13 Let v(g) = -g**2 + 43. Let l(y) = -y**3 + 3*y + 4. What is the remainder when v(0) is divided by l(-3)? 21 Suppose 8*u + 100 = 18*u. Calculate the remainder when 39 is divided by u. 9 Let d be 2 + 2 + -2 + -3. Suppose 5*x + v - 9 = 2, 2*v - 1 = -3*x. Let a = d + x. What is the remainder when a is divided by 2? 0 Let c(f) = -3*f + 1. Calculate the remainder when c(-3) is divided by ((-12)/10)/(27/(-90)). 2 Suppose 2*u = 24 - 10. Let a(y) = 6*y**2 + 2*y - 2. Calculate the remainder when a(-2) is divided by u. 4 Let z = -114 - -123. What is the remainder when 11 is divided by z? 2 Suppose 2*v = u - 7 - 4, 0 = -5*u + 3*v + 83. Suppose -5*f = i + 2*i - 47, 1 = 3*f - 5*i. Calculate the remainder when u is divided by f. 5 Suppose -3*q - 7*q = -550. Calculate the remainder when q is divided by 14. 13 Suppose -5*z + 6 = -5*c + 16, 0 = z. Let x be (-17)/(-1) + (1 - c). Let p = -3 + x. Calculate the remainder when p is divided by 7. 6 Suppose 6*b + p = 4*b + 32, 17 = b + p. Suppose -5*g - 2*j = -0*g - 46, -5*g = -j - 37. What is the remainder when b is divided by g? 7 Let y(g) = 21*g**2 - g + 2. What is the remainder when 128 is divided by y(1)? 18 Suppose -3*k - 2*h + 6 = 2*h, 4*k = -5*h + 9. Suppose -k*g + 255 = -g. Calculate the remainder when g is divided by 18. 15 Let m(t) = -t**3 - 4*t**2 + 4*t. What is the remainder when 14 is divided by m(-5)? 4 Suppose -24 - 158 = -13*a. What is the remainder when 68 is divided by a? 12 Suppose 11 = -i - 5*x - 9, 12 = 3*i - 3*x. Suppose i*g + 5*g - 50 = 0. Let m = -11 + 15. Calculate the remainder when g is divided by m. 2 Let v(t) = -12*t. Let r(m) = m**3 + m**2 + 2. Let b be r(-2). Let s = 11 - -2. Cal
{ "pile_set_name": "DM Mathematics" }
= w + 8. Suppose -9540 = -36*z + 5688. Calculate the remainder when z is divided by h(17). 23 Let d = -27277 + 27999. What is the remainder when d is divided by 286? 150 Let l = -16124 - -21101. Calculate the remainder when l is divided by 13. 11 Calculate the remainder when 5233 is divided by -8 - (-41 - 5)/((-9)/(180/(-8))). 97 Let a = 61 + -6. Suppose -a - 210 = -5*z. Suppose -8 = -3*y + 2*y. Calculate the remainder when z is divided by y. 5 Let o(d) = -d**3 - 15*d**2 + d + 22. Let y = -626 - -631. What is the remainder when o(-15) is divided by y? 2 Let b(j) = 10 - 2 - 2*j**2 - 6*j + 16 + 27*j. What is the remainder when b(6) is divided by 31? 16 Let k(r) = -r. Let u be k(-1). Let j(a) be the second derivative of 23*a**3/6 - a**2 + 6*a. What is the remainder when 102 is divided by j(u)? 18 Suppose -5*l + 63 = -n, -4*l - 5*n + 2*n = -58. Let z = -133 - -134. Suppose w = 5*u - 13, 2*u - 4*w + 1 + z = 0. What is the remainder when l is divided by u? 1 Let g = 6342 - 5882. What is the remainder when g is divided by 68? 52 Suppose 22*z = -7*z. Suppose z = s + 4*u - 2*u - 75, 399 = 5*s + 4*u. What is the remainder when 829 is divided by s? 82 Let f(h) = -60*h - 55. Let k be f(3). Let n = k - -478. What is the remainder when n is divided by 82? 79 Suppose m + 5*a - 102 = 0, -3*m + 5*a + 172 = -194. Suppose -122*r + m*r = -215. What is the remainder when 253 is divided by r? 38 Suppose 13211*o + 2621 + 727 = 13238*o. What is the remainder when 543 is divided by o? 47 Suppose -224 = -4*a - 84. Let p(o) = o + 52. What is the remainder when p(0) is divided by (-4)/6*a/(-15)*9? 10 Calculate the remainder when ((-64)/80)/(32/(-32880)) is divided by 208. 198 Let q(d) = 346*d - 1302. Calculate the remainder when q(5) is divided by 110. 98 Suppose 2*m - 3*i - 82 + 14 = 0, m - 2*i = 35. Calculate the remainder when 827 is divided by m. 21 Let f be (10 - 58) + (5 - (-1 + 2)). Calculate the remainder when 1/4 - (-243)/4 is divided by 8/f + 1/((-33)/(-732)). 17 Calculate the remainder when 894 is divided by (-1*(264 + -13))/(-1). 141 Suppose -31*b - 128 = -1306. Calculate the remainder when 512 is divided by b. 18 Suppose -t - 5*g + 9 = 0, 59 = 3*t + t - 3*g. Calculate the remainder when (10*(-6)/(-16))/(1/20) is divided by t. 5 Calculate the remainder when (-24)/(-128) - 151575/(-48) is divided by 72. 62 Suppose 0 = 68*m - 142*m + 1406 + 1517 - 481. Let j = 86 - 61. What is the remainder when m is divided by j? 8 Let z be (-480)/(9 - 24) + -4 + -1. Suppose -z*q = -18*q - 198. Calculate the remainder when 370 is divided by q. 18 Suppose 2*g - 314 + 46 = 3*x, -x - 136 = -g. Calculate the remainder when g is divided by 1*(-13)/((-169)/(-26))*94/(-4). 46 Let s(k) = -k**3 + 9*k**2 - 10*k + 17. Let t = 465 - 243. What is the remainder when t is divided by s(7)? 42 Calculate the remainder when 692 is divided by 194/(-1)*303/(-606). 13 Let z(k) = -k**2 + 72*k - 19. Calculate the remainder when z(11) is divided by 16. 12 Suppose 3*g = -5*i + 14, 0 = -0*i + 5*i - 4*g + 7. Let p = 159 + i. Suppose -p*w = -159*w - 42. What is the remainder when w is divided by 9? 6 Let j(h) = 50*h**2 + 185*h - 2. Calculate the remainder when (-1)/3 + (-4144)/(-12) is divided by j(-4). 55 Let x be -9 + (-3)/12*0. Let d = x + 26. Suppose -4*m - d = -69. What is the remainder when 25 is divided by m? 12 Suppose -59*d = -68*d + 513. What is the remainder when 171 is divided by d? 0 Let v(o) = -o**3 + 7*o**2 - 7*o + 8. Let n be v(6). Suppose n*u + 3*u - 2*t - 201 = 0, u + t = 36. Calculate the remainder when u is divided by 13 + 1/((-2)/4). 6 Let o(n) = -n**3 - 13*n**2 - 2*n - 21. Let m = 1 - 14. Let c be o(m). What is the remainder when 99 is divided by -50*c/30*-3? 24 What is the remainder when 5220 is divided by (-20)/10*((2 + -17)/(-5) + -10)? 12 Suppose -5*h - 374 = 396. Let j = h + 181. What is the remainder when 96 is divided by j? 15 Let m(x) = x**2 - 18*x - 11. Let s be m(19). Suppose s*o - 55 = 41. Suppose -242 + 104 = -3*h. What is the remainder when h is divided by o? 10 Let r = 8526 + -8510. What is the remainder when (2 + 0)*(-47)/(-2) is divided by r? 15 Suppose -22*b = -21*b - 3. Suppose -3060 = -b*j - 12*j. Calculate the remainder when j is divided by 10. 4 Let d(f) = 590*f - 7655. What is the remainder when 359 is divided by d(13)? 14 Let s(o) = 8 - 11*o + 55 + 75 + 30. Calculate the remainder when 207 is divided by s(14). 11 Suppose -10 = -3*y + 35. Let h(d) = 5*d - 3. Let k be h(1). What is the remainder when y is divided by -1 + 6 + k/2? 3 Let t(f) = f + 10. Let x(b) = b**2 + 10*b - 14. Let a be x(-13). Let p be (24 - a)/(1/(-7)). What is the remainder when 49 is divided by t(p)? 15 Let x(j) = -3*j**2 + 26*j - 16. Let b be x(8). Suppose 6*l = 2*l + 4*k + 104, -4*l - 5*k + 95 = b. Calculate the remainder when 97 is divided by l. 22 Let v(g) = -64*g**2 + 14*g - 40. Let r be v(3). Let q = -506 - r. What is the remainder when q is divided by 28? 12 Suppose 18 = 5*k - 312. Suppose 0 = -b + 3*b + k. Calculate the remainder when 63 is divided by 3 + (0 + -4 - b). 31 Suppose -17770 = -24*j + 1742. What is the remainder when j is divided by 132? 21 Let x(g) = g**2 - 2*g - 7. Let f be x(-3). Suppose 5*y = f*y - 357. Calculate the remainder when y is divided by 24. 23 Let z(n) = -n**2 - 10*n + 10. Let s be z(-8). Let j = s - -26. What is the remainder when j is divided by 108/(-90) + (28 - 33) + 152/10? 7 Let p(r) = 11*r**2 - 24*r + 25. Calculate the remainder when 6761 is divided by p(2). 20 Let s(a) = a**2 - 18*a + 48. Let t be s(16). Suppose 0*o + 1504 = t*o. What is the remainder when 184 is divided by o? 90 Suppose 2*h + 8 = x + h, -3*h = -5*x + 32. Suppose -p - 32 = -x*l, 0 = 4*l - l - 4*p - 37. Let n = 50 - 19. What is the remainder when n is divided by l? 3 Suppose l - 5*u - 149 = 0, 4*l - 29*u = -33*u + 476. Calculate the remainder when l is divided by 33. 25 Let x(d) = d**2 + 44*d - 204. What is the remainder when 5482 is divided by x(6)? 10 Let c = 23516 - 23211. Calculate the remainder when 911 is divided by c. 301 Let r = 670 - 594. Let k = 30 - 22. Calculate the remainder when r is divided by k. 4 Let k(f) = 127*f - 836. What is the remainder when k(14) is divided by 43? 39 Let d(b) = 3*b**2 - 136*b + 250. What is the remainder when 497 is divided by d(44)? 53 Let f = 7 + 3. Suppose -112 = -2*t - 2*x, -5 = -4*x + 3. Suppose -2*n + 4*k + t = -0*k, -2*n = 4*k - 94. Calculate the remainder when n is divided by f. 7 Let a = -13 - -14. Suppose 0 = -3*l + 3*x, -4*l + 15*x = 18*x - 14. Suppose -z = l*u - 17 - a, 5*u = -z + 51. What is the remainder when 43 is divided by u? 10 Let g(k) = k**2 + 9*k + 10. Suppose -7*z + 9*z = -16. Let r be g(z). Suppose -41 + 131 = r*o. What is the remainder when o is divided by 8? 5 Suppose -3*u + 8 = -2*u. Let q be 12 + -6 + -9 + 4. What is the remainder when (408/48)/(q/2) is divided by u? 1 Suppose -204*a + 209*a - 320 = 0. Calculate the remainder when a is divided by (-30)/12*(-2)/((-3)/(-3)). 4 Suppose -7*w = 57 - 5825. Let p = -741 + w. What is the remainder when p is divided by 55? 28 Suppose -j + 156 = 3*k, 3*k - 139 = -5*j + 29. Calculate the remainder when 246 is divided by k. 42 Suppose 0 = 262*u - 264*u + i + 1178, 3546 = 6*u + 3*i. What is the remainder when u is divided by 16? 14 Let c = 18 - 9. Suppose 648*t = 276*t + 281*t + 1183. Calculate the remainder when t is divided by c. 4 Let m(j) be the first derivative of -65*j**2/2 + 23*j + 65. What is the remainder when m(-6) is divided by 32? 29 Let u be ((-2)/(8/4))/((-2)/8). Suppose -u*o = 123 - 35. Calculate the remainder when 0 - o - 6/2 is divided by 6. 1 Suppose 160247 = 139*v + 592*v - 340488. What is the remainder when v is divided by 636? 49 Let z = 610 + -614. Let l(y) = 3*y**2 + 7*y + 5. Calculate the remainder when 798 is divided by l(z). 23 Let u be (-1 + 30*1)/((-12)/(-1560)). Suppose -20*o = 9*o - u. What is the remainder when o is divided by 41? 7 Let v(c) = 7*c**2 - 23*c + 50. Suppose i - 771 = -2*q - 4*i, 5*q + 3*i = 1956. Calculate the remainder when q is divided by v(3). 41 Let a = 94 + -50. Let s(j) be the first derivative of -3*j**2/2 + 36*j + 77. What is the remainder when a is divided by s(7)? 14 Let y(k) be the second derivative of -15*k**3/2 - 173*k
{ "pile_set_name": "DM Mathematics" }
and -5. 23809035 What is 0.09725 times 39383? 3829.99675 Work out 119407844 * 0.5. 59703922 Multiply 45966 and -14. -643524 What is the product of -140040.07 and 0.3? -42012.021 Calculate -688*-1.814. 1248.032 -516.5*2106 -1087749 What is 1249070 times 6? 7494420 Calculate -0.29704*1101. -327.04104 Multiply -0.03593 and -8.3. 0.298219 Multiply 564 and 3.015. 1700.46 -3*38.565383 -115.696149 Calculate -27332*154. -4209128 Work out -3 * -0.16575754. 0.49727262 Product of -33482.956 and -29. 971005.724 Calculate 326.26*324. 105708.24 0.1*-3723330 -372333 0.5*2363.79243 1181.896215 Multiply -4225 and 1596. -6743100 -24 times -20642.86 495428.64 What is the product of -0.0617 and -562.7? 34.71859 Calculate 1279*-1298. -1660142 What is -166 times -0.002685? 0.44571 What is the product of -1851 and 1831? -3389181 What is -1265 times -18.714? 23673.21 1564293 times -6 -9385758 Work out -1 * 0.9015207. -0.9015207 -0.026 times -30278 787.228 Multiply -33.48233 and 7. -234.37631 Work out -220532 * -3.8. 838021.6 Calculate 51*-6179787. -315169137 598187*-2.6 -1555286.2 -3915248*-1 3915248 Multiply 381396609 and 0. 0 -20722 * 0.0712 -1475.4064 What is 0.129 times 0.129045? 0.016646805 Calculate 7648*208.97. 1598202.56 Work out 0.3 * -611.0834. -183.32502 Multiply -0.07 and 0.055031953. -0.00385223671 Calculate -7494*0.0022. -16.4868 Multiply 990 and 1.68684. 1669.9716 What is the product of -0.1 and -422.4765? 42.24765 What is -84719 times -0.98? 83024.62 2156*-359 -774004 0.747 * -2091 -1561.977 Calculate -696*-18.853. 13121.688 Multiply 6426 and -0.25. -1606.5 Multiply 477004 and 1.4. 667805.6 What is the product of 17082.91 and -0.02? -341.6582 -46598*-1.158 53960.484 Calculate 29*0.4244151. 12.3080379 Work out -3.9 * -1285.544. 5013.6216 Product of -0.0508 and 0.0902. -0.00458216 Calculate -12062*-1752. 21132624 -1525 times 3.995 -6092.375 What is the product of 1 and -1783706? -1783706 What is -0.007 times 159.0719? -1.1135033 Work out 1314 * 3639. 4781646 3556.1 times -3132 -11137705.2 Multiply 10528530 and 0.04. 421141.2 Multiply 76.456 and -0.42. -32.11152 -2169.6*-5710 12388416 8*-5910514 -47284112 Product of 14 and -897545. -12565630 What is the product of 42.339 and 16098? 681573.222 -331.221 times 10 -3312.21 17.02 * -2279.1 -38790.282 What is 0.1879 times -275.5? -51.76645 Product of -31657.6525 and 1. -31657.6525 Product of -1672.04 and -356. 595246.24 0.2 times -2107804 -421560.8 Calculate -9774776*-33. 322567608 Multiply -0.05 and -368896. 18444.8 259440.211*-0.1 -25944.0211 0.18729447 times 3.1 0.580612857 -3853745 * 123 -474010635 Multiply -2764335 and -4. 11057340 Multiply 1798 and 1797. 3231006 What is the product of 0.4323 and 8057? 3483.0411 What is 0.21473 times 38.394? 8.24434362 Multiply -125 and 9369484. -1171185500 Product of -3.6 and -112227. 404017.2 -137977 times -1.8 248358.6 Work out -5 * 124367444. -621837220 What is the product of 21222.1 and 148? 3140870.8 Product of 6.4 and 0.570827. 3.6532928 Calculate 2.1*-8154809. -17125098.9 Product of -20.8049 and -1.91. 39.737359 -0.1 times 1085041 -108504.1 -123 * 620091 -76271193 Calculate 57.32551*-0.22. -12.6116122 Product of 16639 and 11995. 199584805 Product of 565388 and 0. 0 Calculate -4*72034.348. -288137.392 2.1847 times -0.05015 -0.109562705 6.2353749 * -3 -18.7061247 Work out -3.1 * 48180698. -149360163.8 What is -78707.2 times -8? 629657.6 -18907 times 79.18 -1497056.26 What is -2062 times -1.6897? 3484.1614 What is the product of -3502 and -27242? 95401484 Work out 0.2 * -21516221. -4303244.2 What is the product of -1.657374 and -5? 8.28687 978 * -4819 -4712982 Multiply 2 and -7041753.4. -14083506.8 What is 0.00576 times 4157? 23.94432 Multiply -187850 and -139. 26111150 -11.6336*-0.9 10.47024 Multiply -292 and -8.3788. 2446.6096 Calculate -0.483471*219. -105.880149 -0.040095 * -16 0.64152 Calculate -38.7*-0.164039. 6.3483093 What is the product of 2004 and 0.0986? 197.5944 Work out -11.89 * 11540.7. -137218.923 Product of 0.54 and -93502. -50491.08 -850478 * 0 0 -0.2*41403736 -8280747.2 -3050.5*132.4 -403886.2 Product of 237.32 and 676. 160428.32 Calculate -9547*4523. -43181081 What is the product of -51 and -302.668? 15436.068 What is -3582246 times -2? 7164492 What is the product of 0.3 and -9968751? -2990625.3 -0.7 times 0.59117525 -0.413822675 What is 2.191 times 6369? 13954.479 Calculate 1*0.037358272. 0.037358272 0.962244 * 0.04 0.03848976 Product of -10274675 and -0.5. 5137337.5 193.445 * 663 128254.035 21481*401 8613881 Product of -30073 and -427. 12841171 Calculate 0.08*-9748277. -779862.16 -441569 times 435 -192082515 Work out 11147168 * -0.3. -3344150.4 Multiply -19038 and 10328. -196624464 What is 1.5 times -250996? -376494 Calculate -1232508*33. -40672764 Multiply 0.2 and -1533442. -306688.4 What is the product of -4 and -812474? 3249896 Calculate -21.599*-1422. 30713.778 Calculate -344.36*-111. 38223.96 Multiply 1.2762 and -0.4039. -0.51545718 -18 times -222.64 4007.52 What is the product of 28350796 and 0.16? 4536127.36 What is the product of 46198 and 5.09? 235147.82 0.0426*-118.903 -5.0652678 -22.92445*-0.5 11.462225 -8340395 * 0.2 -1668079 560087 times -24.4 -13666122.8 24187.9*-0.22 -5321.338 Calculate 2.882247*-0.03. -0.08646741 Multiply 1747810 and -8.8. -15380728 Product of -0.1699 and 77808. -13219.5792 -59*-0.1086119 6.4081021 Multiply -1.5 and -10867592. 16301388 113730.9*0.24 27295.416 What is the product of -42524004 and -0.03? 1275720.12 Multiply 45 and -8859073. -398658285 Work out -0.183 * 53.4917. -9.7889811 Work out -4 * -3.913024. 15.652096 Product of 0.3 and -14538918. -4361675.4 Product of 33.9 and -23052. -781462.8 Product of 768 and 5.6665. 4351.872 0.3 * -11.229026 -3.3687078 What is -9.088518 times 4? -36.354072 What is 10.2583 times -28.9? -296.46487 Work out -5 * -86382.21. 431911.05 Product of -302778 and 0.099. -29975.022 Work out 2309337 * -53. -122394861 10.1*-972765 -9824926.5 0.2 * 293599 58719.8 Multiply 6059.1 and -0.0725. -439.28475 Product of -0.5 and -129404420. 64702210 Multiply -26 and 429118. -11157068 162616 * -32 -5203712 Calculate -775.141*-77.4. 59995.9134 0.0196753 * 112 2.2036336 -0.1*-16198569 1619856.9 -119 times 389279 -46324201 81194*2.36 191617.84 -0.1 times -564616 56461.6 Calculate 0.684*-1.912. -1.307808 What is the product of 101203581 and -0.3? -30361074.3 833797068 times -5 -4168985340 Multiply 1 and -724752. -724752 Work out -0.3 * 2525644. -757693.2 What is the product of 75.61606 and 0.1? 7.561606 Work out -5 * -7081912. 35409560 151390 times 35 5298650 -588366 times 135 -79429410 Multiply 280 and 447.58. 125322.4 What is the product of -0.091 and 150475? -13693.225 16140492 times -4 -64561968 What is the product of 6311.949 and 8? 50495.592 -4 * 9484973 -37939892 0.2 * 228758.63 45751.726 -911.388 * 7 -6379.716 Work out 3436506 * 0.3. 1030951.8 Multiply 3 and -1027810. -3083430 Product of -5 and 10905616. -54528080 -13.7 * -1023373 14020210.1 0.01 * -0.530377 -0.00530377 0.14 * -0.066283 -0.00927962 Calculate 0.8*14899.13. 11919.304 -194347*-3.1 602475.7 What is -646479 times 15? -9697185 Calculate 0.0091*-13.1. -0.11921 Multiply -12569 and 13.3583. -167900.4727 Calculate 222730*62. 13809260 -1 * -10642984.6 10642984.6 Product of 5.8 and 0.052208. 0.3028064 Calculate 0.04221663*0.02. 0.0008443326 -16935999 times -0.024 406463.976 What is 727 times 339.46? 246787.42 Work out -54.1 * 18878. -1021299.8 What is 16 times -0.565805? -9.05288 What is -54446 times 302? -16442692 What is -0.08 times 1761586? -140926.88 Work out -41 * -41.47603. 1700.51723 1560 times 1141.3 1780428 -309059461 times 1 -309059461 -38*-22344546 849092748 5*10019995 50099975 What is 221496 times 0.14? 31009.44 Calculate -4*-6480386. 25921544 -3 * -24100334 72301002 -58392.7979*-5 291963.9895 What is -1324776 times 0.01? -13247.76 What is -93 times -2808273? 261169389 -24312408 * -4 97249632 Calculate -139166*396. -55109736 Multiply 15.09 and 28.85. 435.3465 Product of -436681 and 0.0027. -1179.0387 10 times 55.1582 551.582 Calculate 184677.83*0.4. 73871.132 What is the product of -361 and 0.99905? -360.65705 Calculate -5*105743.84. -528719.2 What is the product of -5441570 and -2? 10883140 Product of -1766 and -3523.
{ "pile_set_name": "DM Mathematics" }
common factor of 1000 and 974125. 125 What is the highest common divisor of 262 and 463609? 131 What is the highest common factor of 931 and 3648? 19 Calculate the highest common divisor of 6493 and 12599. 43 What is the greatest common divisor of 403 and 71396? 13 Calculate the greatest common factor of 924 and 598906. 154 What is the greatest common divisor of 36960 and 252? 84 Calculate the highest common divisor of 3648 and 576. 192 What is the greatest common divisor of 381 and 180721? 127 What is the highest common factor of 167 and 476117? 167 What is the highest common divisor of 7663 and 1185? 79 What is the greatest common divisor of 1983 and 57? 3 What is the highest common factor of 304 and 133228? 76 Calculate the greatest common divisor of 3679 and 63109. 283 What is the greatest common factor of 140 and 62328? 28 Calculate the highest common divisor of 3405 and 191361. 681 Calculate the highest common factor of 649292 and 196. 28 Calculate the greatest common divisor of 9912 and 14514. 354 Calculate the highest common divisor of 36 and 3863124. 36 Calculate the greatest common factor of 56 and 13006. 14 What is the greatest common factor of 441 and 4949? 49 Calculate the greatest common factor of 6204 and 36. 12 Calculate the highest common factor of 11 and 1578137. 11 What is the greatest common factor of 12 and 79964? 4 What is the highest common factor of 2950395 and 210? 105 Calculate the highest common factor of 80868 and 690. 138 Calculate the highest common factor of 170613 and 1424. 89 Calculate the greatest common divisor of 254399 and 134. 67 Calculate the highest common divisor of 580 and 2476. 4 What is the highest common divisor of 26896 and 5986? 82 What is the highest common divisor of 19520 and 400? 80 What is the highest common divisor of 6 and 878? 2 What is the highest common divisor of 819 and 123084? 117 What is the greatest common divisor of 46 and 200? 2 Calculate the highest common factor of 331854 and 19. 19 Calculate the greatest common factor of 4878 and 576. 18 What is the greatest common divisor of 18 and 274950? 18 What is the highest common factor of 1000 and 325? 25 Calculate the greatest common divisor of 7456778 and 2023. 2023 Calculate the highest common factor of 228 and 330396. 12 What is the highest common factor of 38 and 10241? 19 Calculate the greatest common divisor of 567 and 32193. 63 Calculate the highest common divisor of 8757 and 8064. 63 What is the highest common divisor of 312708 and 396? 132 Calculate the greatest common factor of 96 and 8224032. 96 What is the greatest common factor of 37044 and 468? 36 What is the highest common factor of 37 and 151663? 37 What is the highest common divisor of 9545 and 253? 23 What is the highest common divisor of 217 and 5611? 31 What is the greatest common factor of 376 and 101708? 188 What is the greatest common factor of 4541877 and 549? 549 What is the greatest common divisor of 10981 and 6116? 139 What is the highest common factor of 11 and 243001? 11 Calculate the greatest common divisor of 30176 and 473632. 1312 What is the highest common factor of 34488 and 28? 4 What is the highest common factor of 1069415 and 380? 95 Calculate the highest common factor of 145539 and 2472. 309 What is the greatest common divisor of 488226 and 36? 6 What is the highest common divisor of 6392 and 5032? 136 Calculate the greatest common divisor of 168259 and 6149. 559 What is the highest common factor of 3393 and 1305? 261 Calculate the highest common divisor of 1839642 and 70. 14 What is the greatest common divisor of 304 and 207841? 19 Calculate the highest common divisor of 75339 and 1089. 99 What is the greatest common divisor of 25381 and 17? 17 What is the highest common factor of 5257 and 119? 7 Calculate the highest common factor of 26635 and 70. 35 Calculate the greatest common factor of 84951 and 18. 9 Calculate the greatest common divisor of 9 and 6613821. 9 What is the highest common divisor of 1333 and 300049? 31 Calculate the greatest common factor of 50 and 595925. 25 What is the greatest common divisor of 495 and 13140? 45 Calculate the highest common divisor of 389396 and 112. 28 What is the highest common divisor of 52 and 970866? 26 Calculate the highest common factor of 155 and 21970. 5 Calculate the greatest common divisor of 108 and 63153. 27 Calculate the greatest common divisor of 8528 and 4592. 656 Calculate the greatest common divisor of 2750 and 4450. 50 What is the highest common factor of 286665 and 3915? 435 What is the highest common factor of 819 and 257803? 91 Calculate the highest common factor of 3114 and 4896. 18 What is the highest common divisor of 36608 and 1364? 44 What is the greatest common factor of 2004387 and 231? 231 What is the greatest common factor of 142 and 264049? 71 What is the greatest common divisor of 43054 and 190? 38 Calculate the greatest common factor of 14145 and 180. 15 What is the highest common factor of 7 and 6813? 1 What is the greatest common divisor of 99900 and 118881? 999 What is the greatest common divisor of 126 and 11443698? 126 Calculate the greatest common divisor of 11975 and 170524. 479 What is the highest common factor of 497816 and 1144? 88 What is the greatest common factor of 6252 and 924? 12 Calculate the greatest common factor of 8586 and 3726. 162 Calculate the greatest common divisor of 5790 and 690. 30 What is the greatest common factor of 3056 and 2992? 16 Calculate the highest common factor of 11230 and 214493. 1123 What is the greatest common factor of 840 and 176920? 40 Calculate the greatest common divisor of 5 and 129715. 5 What is the greatest common divisor of 4600446 and 246? 246 Calculate the highest common factor of 11504 and 20. 4 What is the highest common divisor of 11 and 2552891? 11 Calculate the greatest common factor of 104 and 328648. 8 What is the highest common factor of 2538 and 26085? 141 Calculate the highest common factor of 32996 and 6205. 73 Calculate the greatest common divisor of 24 and 349161. 3 Calculate the greatest common divisor of 2016 and 9282. 42 What is the highest common divisor of 434409 and 267? 267 What is the highest common factor of 51 and 3391959? 51 What is the greatest common divisor of 7029 and 12771? 99 Calculate the highest common factor of 4202 and 1012. 22 Calculate the highest common divisor of 25512 and 744. 24 What is the greatest common divisor of 29048 and 16? 8 What is the greatest common factor of 760 and 40888? 152 Calculate the highest common divisor of 11445 and 10. 5 What is the highest common factor of 36 and 207840? 12 What is the highest common factor of 546 and 65002? 14 Calculate the greatest common factor of 69207 and 663. 51 What is the greatest common divisor of 315117 and 198? 99 Calculate the greatest common divisor of 290 and 5410. 10 Calculate the greatest common factor of 89576 and 2. 2 What is the highest common factor of 253904 and 112? 112 What is the greatest common factor of 1200 and 22632? 24 Calculate the greatest common divisor of 6897 and 570. 57 Calculate the highest common factor of 157517 and 67. 67 What is the greatest common divisor of 1173 and 897? 69 What is the greatest common divisor of 26466 and 3597? 33 What is the highest common factor of 1312 and 276750? 82 Calculate the highest common divisor of 34067 and 1628. 11 What is the greatest common divisor of 1210 and 33110? 110 Calculate the highest common factor of 215240 and 40. 40 What is the greatest common factor of 62825 and 350? 175 Calculate the highest common divisor of 23026 and 116. 58 Calculate the highest common divisor of 1640 and 394584. 328 Calculate the greatest common divisor of 460 and 2270100. 460 Calculate the greatest common factor of 15636 and 336. 12 Calculate the highest common factor of 438 and 1896686. 146 What is the greatest common factor of 1463 and 476091? 77 What is the highest common divisor of 452 and 331316? 452 Calculate the highest common factor of 806 and 687921. 403 Calculate the highest common factor of 2968 and 61432. 56 What is the greatest common factor of 66 and 1127709? 33 What is the greatest common factor of 60 and 674988? 12 What is the highest common factor of 5 and 35? 5 C
{ "pile_set_name": "DM Mathematics" }
pose 3 = 4*k - h - 4, -4*k + 13 = 5*h. Let s be (3/4)/(k - 5). Which is bigger: 0 or s? 0 Suppose -i - 2*j - j + 17 = 0, 0 = 2*i - j + 1. Let b be -1 + (i/(-1))/(-2). Let w = -346/5 - -69. Do w and b have the same value? False Suppose 4*x - 2 = -2*a - 6, 5*x - 3*a + 27 = 0. Let o be (-6)/(1 + 1) + x. Let p = 7 + o. Do p and 2 have different values? True Suppose -34*l + 40*l - 6 = 0. Is l greater than or equal to 1? True Let f be (4 + -6)/(1/(-2)). Let r be 5*56/(-68) + f. Which is greater: -1 or r? r Suppose -5*s + 8 = -s. Let g be (s/(0 + 12))/3. Are g and 0 nonequal? True Let t be (-31 + 23)/(2/(2/(-3))). Let j be (-3)/((-27)/(-2))*-15. Let n = j - t. Is n smaller than 0.4? False Suppose -5*d + 4*d - 2 = 0. Let p be -2 + 0 + 398/(-80). Let i = p + 43/8. Are d and i equal? False Let j be 150/280 + 1/(-4). Suppose -6 = -4*m - 3*c - 3, 0 = -3*m + c - 1. Is m >= j? False Let s(u) = -u - 3. Let n be s(-6). Suppose 4*o = -4*g - 8, 2*g = g + 5*o + 16. Suppose 2*i + g = n*i. Is -2/7 greater than or equal to i? False Let u(s) = -2*s - 12. Let w be u(-8). Suppose -a - 5*j = w*a - 25, -24 = -4*a - 5*j. Suppose 2 = -4*h - 2*i, -3*i - 2*i - 17 = 4*h. Which is bigger: a or h? h Let j = -62/23 + 1210/483. Let p be (13/12)/((-35)/10). Let x = j + p. Is x < 0? True Let w = 0.055 - 0.055. Which is greater: 21 or w? 21 Let i be 1*(2/6 - 1). Suppose 3*d = 2*d + 24. Let r be d/(-27) + 4/18. Is r greater than i? False Let r = -11.9 + 12. Which is greater: -0.1 or r? r Suppose g + 5 = q, 7*g = -5*q + 2*g - 5. Suppose 0 = 5*b + 5*j + 10, b = 5*b - q*j + 2. Let l be (-65)/45 - (-1 - 0). Is b < l? True Let q = 2490/11 - 226. Which is greater: 1 or q? 1 Let s(l) = l**3 + 4*l**2 + 2*l - 1. Let r be s(-2). Let c = r - 6. Let j be (2 - 2)/(c - -2). Is j smaller than -1? False Let q = -0.124 + 0.074. Let t = 5 + -4.9. Is t >= q? True Let t(o) = -2*o - 27. Let b be t(-13). Is 3/11 smaller than b? False Let p = 202 - 1408/7. Are 5/6 and p unequal? True Let z be ((-133)/6)/(-7) + -3. Let a = -1/3 - z. Let m = 0.1 - 1.1. Is m smaller than a? True Let y = 9.2 + -3.2. Which is smaller: 0.1 or y? 0.1 Let g = 53 + -54. Let r = -13748/9 - -1526. Which is smaller: r or g? r Let h = -8.9 - -10. Let r = 1 - h. Is r at least as big as 1? False Let s = -63 - 257. Let p be (-4)/(-22) - s/55. Let i be 4/12 + 4/p. Are i and 1/6 non-equal? True Let p = 213/248 - 601/217. Let q = p - -13/8. Is q != -0.2? True Let r be 0 - (1 - 2/1). Suppose 0 = 2*o - 5*t + 2, 0 = 3*o + 8*t - 3*t - 22. Let n be (-48)/26 + -2 + o. Is n >= r? False Let s(n) = -n**3 - 4*n**2 - 4*n - 1. Let y be s(-3). Suppose -v + 2*v - y = 0. Suppose 5 = -5*p + b - v*b, -20 = -p + 4*b. Which is greater: p or -1? p Let m = -51 + 44. Let v(x) be the second derivative of -x**4/12 - 4*x**3/3 - 3*x**2 - 2*x. Let j be v(m). Is 0 at least as big as j? False Let y(d) = d**2 + 4*d - 4. Let v(z) be the third derivative of -z**5/60 + z**4/24 + z**3/6 + 3*z**2. Let m be v(3). Let c be y(m). Is -2 at least c? False Let h be ((-18)/2)/((-1)/1). Suppose -3*o + 12 + h = 0. Let p = -43/6 + o. Which is smaller: p or 0? p Let k(d) = -d**3 - d**2 - 11. Let n be k(0). Which is bigger: n or -10? -10 Suppose 3*y = 2*y + 4*y. Which is smaller: -3/11 or y? -3/11 Let v = 0.3 - 1.3. Is 2 <= v? False Suppose 0 = -2*j - 9 - 33. Let f(s) = s + 1. Let t be f(6). Let h be t/j - 2/3. Which is smaller: 0 or h? h Suppose -t = -5*f - 10 - 6, -4*t = 4*f - 112. Suppose 6*c = -2*d + c + 23, -d = -5*c + t. Are -1/7 and d nonequal? True Let k = -4 - -9. Let n = 1 - k. Let m(i) = -2*i + 7. Let v be m(5). Which is smaller: v or n? n Let r be 2/(-10)*-2 + 0. Let g = 0 + 1. Let d = -3 + g. Is r at most as big as d? False Let d(o) = -o**3 - o**2 - o. Let g(x) = 5*x**3 + 4*x**2 + 3*x + 1. Let c(t) = -4*d(t) - g(t). Let q be c(1). Suppose -20*a = -25*a. Which is bigger: q or a? a Let j = 17 - 12. Let b = 9 - j. Let f = b - 5. Which is smaller: 0 or f? f Let i be -10 + 7 + (-9 - -1)/(-2). Is -1/12 greater than i? False Suppose -2*n - 1 = -11. Let a = 11 - n. Let j be 2/((-3)/(9/a)). Is j at most -1? True Let u(p) = p + 2. Let l be u(-3). Let r be 0 - (-3)/((-1)/l). Is 0 > r? False Let t = -877.82 + 887. Let g = -0.18 + t. Is 1/3 > g? False Let c = -38 + 20. Is -20 != c? True Suppose -5 = -5*p + 15. Which is greater: p or 5/2? p Let j be 3/(-2)*(-4 - (-14)/3). Which is smaller: j or 4? j Let x be 8/12 - (-4)/(-6). Which is smaller: x or 1/4? x Let y be 707/742*2/32. Let z = y - 3/106. Which is bigger: z or 1? 1 Let l(u) be the first derivative of -u**3/3 + 3*u**2/2 - u + 1. Let j be l(3). Is j >= -2? True Let d = 17 + -17. Are -3 and d non-equal? True Let x be (24/(-40))/((-2)/10). Suppose -1 = n - x. Is n less than or equal to 2/3? False Let k be (33/55)/(1/5). Let h be (2/k)/(-1*7). Are h and 0 unequal? True Let q = 0.048 - 1.048. Is -23 != q? True Let x be 6 - 6 - (-5 + -1). Suppose -o - 1 = -x. Suppose -6 = -d - o. Do d and -1 have the same value? False Let s be (-4)/(-2 - -6) + (-1 - -3). Is s equal to 6/5? False Suppose 6*p = 3*p - 3. Let o be (5/(-56) + 2/(-7))*4. Is o at most as big as p? True Let y be (-10)/(-1 + (-4)/(-2)). Let g = y - -61/6. Let t be -4 - (-1 + -2)/(-4 - -5). Which is greater: g or t? g Let o be ((-2)/(-10))/((-3)/6). Let k be (1 + 2)*8/6. Suppose -3*c - n = 3*n - 5, 4*n + k = 0. Is c bigger than o? True Let y = -5.4 + 6.4. Let m = -1.96 + -0.04. Let a = 1 + m. Is a at least y? False Let x be -4 + 0 - 0/(-2 - -7). Is x bigger than -9/2? True Let b be (9/(-6) - 0)*-2. Suppose -15 = -n + 5*n + b*s, 20 = -4*s. Let c be -3 - 1/(2 + -1). Is n bigger than c? True Let v be (0 + 1)/(1/3). Let p = 124 + -122. Is p < v? True Let s be (-3 - -2)/(3/39). Let z(b) = b**2 + 14*b + 10. Let h be z(s). Which is greater: -5 or h? h Let g be (0 - 531)*(0 + 3). Let l be (-2)/(-4) - g/(-12). Let q = l + 133. Which is smaller: 1 or q? q Let o = -17 + 16. Is 1/15 less than o? False Suppose 4*z + 5*u + 29 = 0, 2*u + 2*u + 15 = 5*z. Let x be 0*z/6*2. Let r be x + (-1 - 3/(-15)). Are -1 and r nonequal? True Suppose 3*z - 32 = -11. Which is bigger: 5 or z? z Suppose -12 = 5*v - 7. Which is smaller: v or -18? -18 Let j(s) = 2*s + 23. Let p be j(-12). Let k be (-2)/4*(-12)/(-9). Which is smaller: k or p? p Let z = -0.03 + 2.43. Let k = 0.4 - z. Is 2 not equal to k? True Let r = -0.17 - -0.17. Let x = 185613/20 - 9285. Let u = x + 23/5. Is u >= r? True Suppose 0 = 5*b - 5*z + 15, -15 = -9*z + 4*z. Let y be 1/(-2)*(-51)/39. Let w = 2/13 - y. Which is greater: b or w? b Let p = -4 + 7. Suppose -4*w = -3*t - 6*w - 5, 5*t = p*w - 2. Let n be 0/(2 + 0 + t). Which is bigger: n or 1? 1 Let g(t) = -t**2 - 4*t - 1. Suppose -5*o - 2*a = -0*o - 6, 0 = -5*o + 2*a + 14. Let c be (o + 0)/(2/(-3)). Let d be g(c). Is 1 at least d? False Suppose 3*j + 3*s = 2*j - 22, 0 = 2*j - 3*s + 8. Let i be (18/(-30))/((-4)/j). Which is greater: -2 or i? i Let t be ((-2)/(-22))/((-2)/8). Which is bigger: -1 or t? t Let h = 1.6 - 2. Let g = h + 0.5. Is -3 > g? False Let h(t) = t**2 + 32*t - 37. Let g be h(-33). Let q be 2 + -1 + 2 + -7. Is g not equal to q? False Let b = 11/138 + 2/23. Let p = -8 - -3.8. Let v = 4 + p. Is b >= v? True Suppose -4*w = -3*w. Let j be 9/(-12) + (-22)/(-40). Which is smaller: j or w? j Let v = 69.9 + -67. Let o = -3 + v. Which is smaller: -2 or o? -2 Let z be (1 - 1) + -1 + 8. Let u be z/2 + (-3)/(-6). Let n(b) = -b + 2. Let v be n(u). Is -2 at least as big as v? True Suppose 5*q = -6 - 9. Let s = q + 1. Do 0 and s have the same value? False Let x be 9/15 - 2/(-5). Let i be 1/(2/(-1 - -5)). Suppose 3*g + 5 = v, -i*g = 4*v - 4 - 16. Which is bigger: x or g? x Suppose -82 = -7*u - 12. Which is bigger: u or 11? 11 Let u be (-1)/1 + (-18)/24. Is u bigger than -1? False Let w be (-9)/28 - (-24)/32. Do 0 and w have the same value? False Let c = 5.3 - 4.37. Let u = c + 0.07. Which is greater: u or -1? u Let t = -4 - -7. Suppose 2*p + 22 = 2*r - 2*p, -t*r + 23 = -p. Let q = -5 + r. Is q greater than or equal to 1? True Let d = -56 + 55. Do d and -1/17 have different values? True Suppose 0 = 3*l - 21 - 12. Which is greater: 10 or l? l Let i = 7 - 3. Let k be i/14 - 173/(-7). Let t = k - 176/7. Is t smaller than 0? True Let u = -3/43 - 123/86. Which is smaller: u or -3? -3 Let h = -402
{ "pile_set_name": "DM Mathematics" }
uch that -2*p**4/11 + 4*p**3/11 + 2*p**2/11 - 4*p/11 = 0. -1, 0, 1, 2 Factor -64*a**5/7 + 544*a**4/7 - 1476*a**3/7 + 1296*a**2/7. -4*a**2*(a - 4)*(4*a - 9)**2/7 Find r such that -5*r**2/2 - 430*r - 855/2 = 0. -171, -1 Let 2*l**5/5 + 4*l**4/5 - 18*l**3/5 - 4*l**2/5 + 16*l/5 = 0. Calculate l. -4, -1, 0, 1, 2 Suppose -72*a**2/5 + 69*a/5 - 3 = 0. Calculate a. 1/3, 5/8 Factor o**3/4 + 147*o**2/4 + 1332*o - 1369. (o - 1)*(o + 74)**2/4 Factor 3*l**2 + 582*l + 3384. 3*(l + 6)*(l + 188) Factor -21*n**3 + 187*n**2 - 488*n + 304. -(n - 4)**2*(21*n - 19) Factor 2*p**3 + 152*p**2 + 3400*p + 18496. 2*(p + 8)*(p + 34)**2 Suppose -3*z**4/7 - 33*z**3 - 1305*z**2/7 - 1917*z/7 = 0. Calculate z. -71, -3, 0 Factor -k**2 - 7*k + 44. -(k - 4)*(k + 11) Find a, given that -4*a**3 - 36*a**2 - 32*a = 0. -8, -1, 0 Factor -3*r**4 - 73*r**3 - 88*r**2 + 92*r. -r*(r + 2)*(r + 23)*(3*r - 2) Solve 7*a**4/2 + 6*a**3 - 25*a**2/2 + 3*a = 0. -3, 0, 2/7, 1 Find g such that 2*g**4/13 - 10*g**3/13 + 14*g**2/13 - 6*g/13 = 0. 0, 1, 3 Find m, given that 3*m**2 + 1815*m - 1818 = 0. -606, 1 Factor 4*k**5 + 224*k**4 + 2904*k**3 - 6496*k**2 + 3364*k. 4*k*(k - 1)**2*(k + 29)**2 Find v, given that 28*v**2/5 + 5256*v/5 - 1504/5 = 0. -188, 2/7 Determine a, given that 2*a**2/15 + 64*a/15 + 512/15 = 0. -16 What is j in j**5/3 - 2*j**4/3 - 25*j**3/3 + 2*j**2/3 + 8*j = 0? -4, -1, 0, 1, 6 Factor -9*f**2/2 + 4173*f/2 + 696. -3*(f - 464)*(3*f + 1)/2 Solve -2*c**2 + 6*c + 36 = 0. -3, 6 Factor -n**2 + 202*n - 10201. -(n - 101)**2 Factor 2*y**2/11 - 266*y/11 + 24. 2*(y - 132)*(y - 1)/11 Factor 5*t**5 - 5*t**4 - 10*t**3 + 10*t**2 + 5*t - 5. 5*(t - 1)**3*(t + 1)**2 Factor -2*w**4/7 + 1286*w**3/7 - 29440*w**2 - 29624*w. -2*w*(w - 322)**2*(w + 1)/7 Find f, given that 14*f**5 - 710*f**4 + 3058*f**3 - 874*f**2 - 6312*f - 1656 = 0. -1, -2/7, 3, 46 Find v, given that -v**2/3 - 41*v + 250/3 = 0. -125, 2 Factor f**2/9 - 62*f/9 - 128/9. (f - 64)*(f + 2)/9 Solve -a**3 - 29*a**2 + 94*a - 64 = 0 for a. -32, 1, 2 Solve -3*y**5/7 + 48*y**4/7 - 156*y**3/7 + 144*y**2/7 = 0. 0, 2, 12 Factor 2*i**4 + 14*i**3 + 36*i**2 + 40*i + 16. 2*(i + 1)*(i + 2)**3 Factor o**2 - 17*o + 16. (o - 16)*(o - 1) What is o in o**5/2 + 4*o**4 + 3*o**3/2 - 16*o**2 - 14*o = 0? -7, -2, -1, 0, 2 Factor -n**2/4 - 49*n/4 - 279/2. -(n + 18)*(n + 31)/4 Factor -7*i**4/2 + 29*i**3/2 - 25*i**2/2 + 3*i/2. -i*(i - 3)*(i - 1)*(7*i - 1)/2 Factor -2*z**2/7 - 21212*z/7 - 56243618/7. -2*(z + 5303)**2/7 Find y, given that -5*y**4 + 2430*y**3 - 7260*y**2 + 7250*y - 2415 = 0. 1, 483 What is t in -t**5/11 + 76*t**4/11 - 141*t**3/11 - 526*t**2/11 + 580*t/11 + 888/11 = 0? -2, -1, 2, 3, 74 Factor 2*l**3/11 - 8*l**2/11 - 14*l/11 + 20/11. 2*(l - 5)*(l - 1)*(l + 2)/11 Suppose p**2 + 17*p + 30 = 0. What is p? -15, -2 Factor y**4/4 - 94*y**3 + 9204*y**2 - 69184*y + 135424. (y - 184)**2*(y - 4)**2/4 Determine h, given that 3*h**2 - 30996*h + 80062668 = 0. 5166 Factor 2*x**4 + 10*x**3 + 6*x**2 - 10*x - 8. 2*(x - 1)*(x + 1)**2*(x + 4) Factor -2*q**3/11 - 34*q**2/11 - 128*q/11 - 96/11. -2*(q + 1)*(q + 4)*(q + 12)/11 Factor -189*y**4 - 384*y**3 - 201*y**2 - 6*y. -3*y*(y + 1)**2*(63*y + 2) Factor -4*w**3 + 96*w**2 - 180*w + 88. -4*(w - 22)*(w - 1)**2 Factor -5*h**4 + 1515*h**3 - 2995*h**2 - 4515*h. -5*h*(h - 301)*(h - 3)*(h + 1) Let -2*l**5/3 + 86*l**4/3 + 278*l**3/3 - 86*l**2/3 - 92*l = 0. What is l? -3, -1, 0, 1, 46 Factor -3*i**3 + 36*i**2 - 87*i + 54. -3*(i - 9)*(i - 2)*(i - 1) Find o, given that o**5 + o**4 - 13*o**3 - o**2 + 12*o = 0. -4, -1, 0, 1, 3 Factor -c**3 - 12*c**2 + 76*c + 192. -(c - 6)*(c + 2)*(c + 16) Suppose 2*d**4/3 - 14*d**3/9 - 2*d**2 + 14*d/9 + 4/3 = 0. Calculate d. -1, -2/3, 1, 3 Factor g**2 + 7294*g + 13300609. (g + 3647)**2 What is w in -16*w**4/13 - 198*w**3/13 - 648*w**2/13 - 216*w/13 = 0? -6, -3/8, 0 What is l in -3*l**3 - 612*l**2 - 31212*l = 0? -102, 0 Factor 6*y**3/5 - 33*y**2/5 - 21*y/5 + 18/5. 3*(y - 6)*(y + 1)*(2*y - 1)/5 Let -3*h**3/7 - 9*h**2/7 - 6*h/7 = 0. What is h? -2, -1, 0 What is o in 2*o**3 - 382*o**2 + 18048*o + 18432 = 0? -1, 96 Factor 3*k**3/4 + 159*k**2/4 + 153*k/2. 3*k*(k + 2)*(k + 51)/4 Solve -2*w**2/7 + 6*w = 0 for w. 0, 21 Factor d**2 - 59*d + 490. (d - 49)*(d - 10) Suppose 2*b**4/13 - 4*b**3/13 - 48*b**2/13 = 0. What is b? -4, 0, 6 Factor -4*k**2 + 96*k - 176. -4*(k - 22)*(k - 2) Solve -3*h**5 + 1767*h**4 + 7098*h**3 + 10662*h**2 + 7113*h + 1779 = 0. -1, 593 Factor -2*b**2 + 22*b - 48. -2*(b - 8)*(b - 3) Solve 2*f**4/3 - 20*f**3/3 + 64*f**2/3 - 64*f/3 = 0 for f. 0, 2, 4 Factor 2*w**2 - 312*w + 12168. 2*(w - 78)**2 Find l, given that -l**5/6 - l**4 - 11*l**3/6 - l**2 = 0. -3, -2, -1, 0 Factor 2*o**2 + 32*o - 322. 2*(o - 7)*(o + 23) Factor 4*t**4 + 120*t**3 + 1008*t**2 + 1568*t. 4*t*(t + 2)*(t + 14)**2 What is y in 5*y**2 + 9870*y + 9865 = 0? -1973, -1 Determine q, given that q**2/2 + 85*q + 169/2 = 0. -169, -1 Find j such that -j**2/6 - 545*j/3 + 1091/6 = 0. -1091, 1 Solve -3*c**5 - 513*c**4 - 29241*c**3 - 555579*c**2 = 0 for c. -57, 0 Solve -2*d**5/3 - 2*d**4/3 + 59*d**3/6 + 7*d**2/3 - 145*d/6 - 50/3 = 0 for d. -4, -1, 5/2 Let 3*d**4/2 - 9*d**2 + 12*d - 9/2 = 0. What is d? -3, 1 Factor -r**2/3 + 25*r/3. -r*(r - 25)/3 Factor -2*m**3/7 + 10*m**2 - 646*m/7 + 578/7. -2*(m - 17)**2*(m - 1)/7 Factor 4*m**3 + 16*m**2 + 12*m. 4*m*(m + 1)*(m + 3) Factor n**2 + 33*n - 378. (n - 9)*(n + 42) Suppose c**5/3 - 49*c**4/3 + 623*c**3/3 - 527*c**2/3 - 208*c + 192 = 0. Calculate c. -1, 1, 24 What is o in -4*o**3 - 20*o**2 - 12*o + 36 = 0? -3, 1 Factor -2*p**5/9 + 82*p**4/9 - 880*p**3/9 + 800*p**2/9. -2*p**2*(p - 20)**2*(p - 1)/9 Let g**5/2 + 39*g**4 + 833*g**3 + 2772*g**2 + 925*g/2 - 4107 = 0. Calculate g. -37, -3, -2, 1 Find l such that 2*l**5 + 56*l**4 + 356*l**3 + 720*l**2 - 54*l - 1080 = 0. -20, -3, 1 Factor -5*q**2 - 185*q + 390. -5*(q - 2)*(q + 39) Let 22*a**5/5 - 404*a**4 + 8392*a**3 + 40400*a**2 + 47616*a + 36864/5 = 0. Calculate a. -2, -2/11, 48 Factor 2*j**4/7 + 4*j**3/7 - 40*j**2/7 + 48*j/7. 2*j*(j - 2)**2*(j + 6)/7 Determine l, given that -3*l**4 + 32*l**3 + 13*l**2 - 22*l = 0. -1, 0, 2/3, 11 Let 5*s**2/3 - 665*s/3 - 2740/3 = 0. What is s? -4, 137 Solve 15*o**4 + 141*o**3 - 261*o**2 + 39*o + 66 = 0. -11, -2/5, 1 Find d such that d**2/2 + 77*d/2 - 205 = 0. -82, 5 Factor 5*b**2/3 + 440*b/3 + 9680/3. 5*(b + 44)**2/3 Solve -2*y**2/9 + 2732*y/3 + 8198/9 = 0 for y. -1, 4099 What is z in 3*z**4 - 30*z**3 - 336*z**2 + 768*z = 0? -8, 0, 2, 16 Solve -f**4/6 + 31*f**3/2 - 221*f**2/3 + 28*f + 352/3 = 0 for f. -1, 2, 4, 88 Determine g so that 5*g**2 - 1380*g + 4095 = 0. 3, 273 Factor 5*b**2 + 780*b + 30420. 5*(b + 78)**2 Determine j, given that -j**3 - 10*j**2 - 17*j - 8 = 0. -8, -1 Factor 4*j**3/3 - 16*j**2/3 - 4*j/3 + 16/3. 4*(j - 4)*(j - 1)*(j + 1)/3 Factor f**4 + 35*f**3 - 433*f**2 + 757*f - 360. (f - 8)*(f - 1)**2*(f + 45) Factor j**2/4 + 33*j/4 + 63. (j + 12)*(j + 21)/4 Factor -5*b**3 - 770*b**2 - 1525*b - 760. -5*(b + 1)**2*(b + 152) Factor -2*j**5/17 + 8*j**4/17 - 12*j**3/17 + 8*j**2/17 - 2*j/17. -2*j*(j - 1)**4/17 Solve 12*v**5 + 45*v**4 - 36*v**3 - 111*v**2 + 90*v = 0. -15/4, -2, 0, 1 Find i such that -2*i**2/13 + 220*i/13 = 0. 0, 110 Suppose l**2/4 + 7*l/2 - 15/4 = 0. What is l? -15, 1 Solve 4*k**2 - 1168*k + 7980 = 0 for k. 7, 285 Suppose -j**3/4 - 78*j**2 - 621*j/4 - 155/2 = 0. What is j? -310, -1 Factor 3*m**4/8 + 3*m**3/2 + 15*m**2/8 + 3*m/4. 3*m*(m + 1)**2*(m + 2)/8 Let -256*d**3 + 7232*d**2 - 1796*d + 112 = 0. What is d? 1/8, 28 Factor 2*r**2/7 - 3446*r/7 - 3448/7. 2*(r - 1724)*(r + 1)/7 Determine i, given that 4*i**3/5 - 16*i/5 = 0. -2, 0, 2 Suppose -4*j**3 + 728*j**2 - 2148*j = 0. What is j? 0, 3, 179 Determine g, given that -5*g**4 - 70*g**3 - 165*g**2 + 560*g - 320 = 0. -8, 1 Find i such that -2*i**5 - 214*i**4 - 212*i**3 = 0. -106, -1, 0 Let 5*i**4 + 105*i**3 + 355*i**2 + 255*i = 0. Calculate i. -17, -3, -1, 0 Solve f**4 + 16*f**3/3 - 76*f**2 + 48*f = 0. -12, 0, 2/3, 6 Factor 9*l**3 - 60*l**2 - 108*l + 96. 3*(l - 8)*(l + 2)*(3*l - 2) Factor -9*r**5 + 7*r**4 + 2*r**3. -r**3*(r - 1)*(9*r + 2) Factor -5*r**2 + 160*r + 525. -5*(r - 35)*(r + 3) Factor 3*m**2 + 33*m. 3*m*(m + 11) Determine h, given that -h**4/4 - 9*h**3/4 + 3*h**2/4 + 29*h/4 + 9/2 = 0. -9, -1, 2 Factor -2*r**2/3 - 38*r/3 - 32. -2*(r + 3)*(r + 16)/3 Factor -v**2
{ "pile_set_name": "DM Mathematics" }
0*z + 0*z + 2*z. Let t(x) = x. Let j be t(5). Calculate n(j). -5 Let n(z) = -z + 1. Let i(r) = -r**3 + 2*r**2 + 3*r - 2. Let d be i(2). Suppose -h - 3*h - d = 0. What is n(h)? 2 Let w(n) = -3*n - 1. Let j(d) = -3*d - 1. Let x(c) = 3*j(c) - 2*w(c). Let b = 466 - 463. Determine x(b). -10 Let u(l) = 6*l**2 - l. Let c be u(1). Let g(f) be the first derivative of f**3/3 - 5*f**2/2 + 2*f - 34. Determine g(c). 2 Let q(k) = 2*k - 4. Let x = -5 + -1. Let y be ((-5)/10)/(1/x). What is q(y)? 2 Let y(k) be the first derivative of k**4/4 - 2*k**3/3 - k**2 + k + 5. Give y(2). -3 Let g(m) = m + 5. Let p = 6 + -13. Let n be g(p). Let x(f) = f**3 + 2*f**2 + 3*f + 3. Determine x(n). -3 Let f(s) = -s**3 + 1. Let o(c) = -7*c**3 - 5*c**2 - 1. Let j(z) = -6*f(z) + o(z). Calculate j(-5). -7 Let f be (-21)/(-2) + (-1)/2. Suppose 5*i = -f - 10. Let w(s) = -5*s**2 + 2*s**3 - 3*s**3 - 3*s**3 - 4 - 7*s + 3*s**3. Determine w(i). 8 Let q(o) = o + 4. Let p = 4 + -2. Suppose p*w = -3*v - 8, 3*w + 20 = -2*w. What is q(v)? 4 Let i(c) = 4*c + 2. Let b = -10 - -6. What is i(b)? -14 Let u(a) = -a**3 + a**2 - a. Let c be 7/(-4) - (-1)/(-4). Give u(c). 14 Let z(p) = -p**3 - 4*p**2 + 5*p + 5. Let u be 33/(-7) + 18/(-63). Determine z(u). 5 Let x(v) = -4*v**3 - v**2 - 2*v - 1. Let s = 26 + -13. Let n be (-15)/s + 2/13. Give x(n). 4 Suppose -2*k + 16 = 5*d, -6*k + 23 = 4*d - k. Suppose -2*j - m + 11 = 2*j, 4*j = 2*m + 2. Let s(h) = -2*h + 3*h**j + 3 - 10 + 5. What is s(d)? 6 Suppose -3*c + 4 = 22. Let u(f) be the third derivative of f**5/60 + f**4/6 - f**3 - 3*f**2. Calculate u(c). 6 Let w(s) be the first derivative of 9*s**2/2 - 14. Give w(-1). -9 Let s(q) = -q**3 + 3*q**2 + 3*q - 2. Let m = -3 + 3. Suppose -f + 4 + 8 = m. Let t be (0 - (-2)/6)*f. Determine s(t). -6 Let h(r) = -9*r**2 - 5 - 2 + 7*r + 2*r**2. Let f(t) = 20*t**2 - 20*t + 21. Let l(m) = -6*f(m) - 17*h(m). Suppose -20 = 5*g, 7*o - 2*g - 8 = 2*o. Determine l(o). -7 Let c(r) = -r - 1. Let t(s) = 2*s**2 + 4*s. Let d be t(-3). Let w be 1/((-3)/(d/2)). Give c(w). 0 Let v(p) = 0*p + 11 + p**2 + 10 - 15 - 4*p. Let n be 4/1 - (1 + -1). Determine v(n). 6 Let b(i) = i**3 + 18*i**2 - 13*i**2 - 2*i**3 + 8*i - 7. Let m(q) = -6*q - 6. Let d be m(-4). Suppose -3*p + 0 + d = 0. Calculate b(p). 5 Let g be (-70)/(-14)*(-6)/(-5). Let x(n) = -n**2 + 7*n + 1. What is x(g)? 7 Let m(y) = -y - 2. Let z be m(-7). Suppose -2 = z*j + u, u = -5*j + 3*u + 4. Suppose -4*o + 0*o + 16 = j. Let l(n) = -n + 7. What is l(o)? 3 Let w(q) = q**2 + 6*q + 7. Let u(j) be the first derivative of -j**4/4 - j**3 + j**2 - 3. Let c be u(-3). Determine w(c). 7 Suppose 0*m = -5*m + 20. Let g(n) = n**3 - 4*n**2 + 2*n - 3. Calculate g(m). 5 Let c(b) = 3*b**2 + 6*b - 4. Let z(u) = u**2 - u - 1. Let p(s) = -7*s**2 - 3*s + 7. Let v(g) = -p(g) - 3*z(g). Let r(d) = -5*c(d) + 4*v(d). Give r(4). -4 Suppose -16 = -b + 6*b - 2*s, -2*s = -4*b - 12. Let n be 2/7 + 24/14. Let q(u) = 3 - 4 + n*u - u. Determine q(b). -5 Let i(k) be the third derivative of -k**7/840 + k**6/72 - k**5/60 - 5*k**4/24 - k**3/3 + 3*k**2. Let d(p) be the first derivative of i(p). Give d(4). 3 Suppose -4 = -2*f + 2*y, 6 = -3*f + 7*f - 3*y. Let q(z) = 5*z + 5*z**2 + f*z**2 - 5*z**2 - z**2. What is q(4)? 4 Let u be (-1)/28 + 14/49. Let r(v) be the first derivative of -v + u*v**4 - 5/3*v**3 + 1/2*v**2 + 1. What is r(5)? 4 Let p = 9 - 3. Let c(f) = 5*f**3 + 8 - 2*f**3 - 4*f**3 - 7*f + 7*f**2. Give c(p). 2 Let d(i) = i - 2. Let a be (21 + 4)/(4 - 3). Suppose 3*c - 8*c = -a. Determine d(c). 3 Let c(f) = f**2 + 5*f + 6. Suppose h + 8 = o, 3*o - 30 = 3*h - 2*o. Calculate c(h). 6 Let o(w) = 4*w - 6. Let y(a) = -4*a + 7. Let v(p) = -5*o(p) - 4*y(p). Determine v(2). -6 Let x = 6 - 5. Let d = 0 - -2. Let t(h) = -h**2 + 1 + h + 2*h**2 - d. Calculate t(x). 1 Suppose -v = 2*v - 6. Let s(w) = -8*w**2 - 5. Let h(z) be the first derivative of 3*z**3 + 6*z + 1. Let o(n) = -6*h(n) - 7*s(n). Give o(v). 7 Let y = -3 - -8. Let l(j) = -6*j + y + 0 - 3 + 5*j. Let t be (1 - 2)/((-1)/(-4)). Calculate l(t). 6 Suppose -2*b - 3*b + 20 = 0. Let u(c) = 7 - 3 - 5*c + b*c. Calculate u(-3). 7 Let j(r) = 2*r + 1. Let k(h) = -h**2 + 6*h - 3. Let p be -1 + 0 - 10/(-2). Suppose -2 = m + 4*c + 4, 0 = -p*c - 12. Let x be k(m). Calculate j(x). -5 Suppose 0 = -0*c + 4*c + 12, -2*c = -s + 7. Let y(m) = 10*m**2 - 4. Let n(f) = -10*f**2 + 3. Let q(a) = -3*n(a) - 2*y(a). What is q(s)? 9 Let a(q) = q**3 + 3*q**2 - 4*q. Suppose 4*z - 3*z + 4 = 0. Let t be a(z). Let c(p) be the first derivative of p**2/2 - 1. What is c(t)? 0 Let b(j) = j**2 - 4*j + 5. Let f(o) = -o**3 - 8*o**2 - 8*o + 9. Let m be f(-7). Suppose 3*u = -u + m. Calculate b(u). 5 Let t(n) be the first derivative of -n**4/4 + n**3/3 + 3*n**2/2 + 2*n - 22. Calculate t(3). -7 Suppose -3*c + 26 = 5*f, -c + 2*f - 14 = -2*f. Let w(v) = -6*v. Give w(c). -12 Let z be ((-6)/(-4) - 2)*-6. Let v(r) = -4 + r**2 - r - 2*r - z*r. What is v(6)? -4 Let z(s) be the third derivative of s**6/120 + s**4/24 + 2*s**3 - 3*s**2. Give z(0). 12 Let q(y) = y**3 + 2*y**2 + 3*y. Let w(r) = -r. Let o be w(2). Calculate q(o). -6 Let w be (-3)/(-1)*4/3. Let m(r) = -1 - w - 2*r**2 + 2 - 4*r - r. What is m(-4)? -15 Let b(z) = 3*z**2 + z. Let y(x) = -x**2 - x + 1. Let t(v) = -3*v**2 - 2*v. Let d(a) = -t(a) + y(a). Let w(m) = -3*b(m) + 4*d(m). Give w(3). -2 Let n(c) be the third derivative of c**6/60 + c**5/30 + c**4/8 - c**2. Suppose 34*j + 45 = -23. What is n(j)? -14 Let c(v) = -2*v**2 + 2*v - 1. Suppose -8 = -2*a - x, 0 = -a - 4*x + 19 - 1. Let k be c(a). Let w(z) = 2*z + 4. Determine w(k). -6 Let h be ((-4)/(-6))/(6/45). Let m be h/(-3) - (-2)/(-6). Let f(w) = 2*w**2 + 4*w + 2. Give f(m). 2 Let w(n) = -3*n**2 + 3*n + 14*n**2 - 12*n**2 + 0 - 4. Calculate w(5). -14 Let y = 0 - 0. Let r(x) = y*x - 3*x + 0 + 0. Calculate r(-2). 6 Let u(r) = r**3 - r**2 - 3*r + 1. Let a be 1 - 1*((-8)/4)/2. What is u(a)? -1 Let g(x) = 7*x**2 - 4*x - 2*x**2 + 5*x. What is g(-1)? 4 Let w(x) = -x**2 - x. Let l(v) be the second derivative of -v**5/20 + v**4/2 + 2*v**3/3 + 3*v**2/2 + 3*v. Let z(p) = -l(p) - 6*w(p). Give z(2). 9 Let a(v) = v + 6. Let x be 2/4*-6*(-4)/(-3). Determine a(x). 2 Let t be (1 - -2) + 4 + -7. Let h(w) = w - 1. Let k(s) = 4*s. Let b(j) = -3*h(j) + k(j). Determine b(t). 3 Suppose -5*u = 5*a - 2*u + 55, -4*a = 3*u + 47. Let m(j) = j**3 + 9*j**2 + 5*j + 4. Determine m(a). 28 Suppose k - 2*q - 2 - 9 = 0, -k = -5*q - 26. Let z be (2 + -2)*1/k. Let f(x) = -x**3 - x**2 - x - 7. What is f(z)? -7 Let a(h) be the first derivative of -5*h + 4 + 3/2*h**2. Give a(5). 10 Let i(r) = -r**2 - 3*r + 6. Let x = 6 + -11. Determine i(x). -4 Let t(g) = -g**3 + 4*g**2 + g - 3. Suppose -5*h + 3*h = -5*q - 23, -5*h - 3*q = -11. Give t(h). 1 Let n(p) = -10*p + 9. Let w(a) = 3*a - 3. Let m(i) = 2*n(i) + 7*w(i). Let z(f) = -f**3 - f**2 - 3*f - 5. Let k be z(-2). Give m(k). 2 Let j(i) = -2 + 3 - i**3 + 2*i - 4. Give j(2). -7 Let u(v) = -v**3 + v**2 + 4*v - 1. Suppose -15 = w + 5*l, w - 2*w + 3*l + 25 = 0. Let n be (-2)/(w/(-6) + 1). What is u(n)? -7 Suppose 3*m - 4*s = 19, -5*m + 43 = -4*s + 3*s. Let w(p) = p**3 - 10*p**2 + 11*p - 9. Determine w(m). 9 Let f(v) = 3*v + 23. Let p(k) = k + 8. Let n(g) = -6*f(g) + 17*p(g). Give n(-5). 3 Suppose 2 = 5*d + 12. Let i = d + 5. Let f(k) = 4*k**2 + 8*k**2 + 12*k**2 + 5*k - 25*k**2. What is f(i)? 6 Suppose 5*k - 4 = 6. Let u(q) = -4*q**2 + 9*q**k - 3 + 2. What is u(1)? 4 Let d(h) = h**3 + 4*h**2 - 4. Let n be d(-3). Let w(u) be the third derivative of 0 - 2*u**2 - 1/20*u**n - 1/6*u**3 - 1/12*u**4 + 0*u. What is w(-1)? -2 Let n(x) = 4 + 9*x - 3*x**2 - 4*x + 3*x**2 + x**2. Suppose 2*s = -2*s + 40. Let l be 6/15 + (-54)/s. What is n(l)? 4 Suppose 0 = 4*p + 4. Let t(s) be the third derivative of -s**5/12 + s**4/12 + s**3/6 - 9*s**2. Give t(p). -6 Let s(n) = 129*n + 22 - 263*n + 133*n - 4. What is s(0)? 18 Let f(l) = -l**2 - 2*l + 5. Suppose 4*q - d = 1 + 2, -2*q = 2*d + 6. Let z(y) = -y + 0 + 1 - 3 - 2. Let v be z(q). Calculate f(v). -3 Let o be (-3)/1 - (-13 - -3). Let x(z) = -5*z + o*z - z + 7. Calculate x(6). 13 Let y(g) = -6*g + 42. Let d be y(8). Let w(c) = -c + 8. Determine w(d). 14 Suppose 0 = -3*b - 3*a - 9, -3*b + 0 = -3*a + 3. Let n be b + (2/1)/(-2). Let d(u) = -3*u - 2. Let s(m) = -3*m - 1. Let z(i) = 3*d
{ "pile_set_name": "DM Mathematics" }
-v**2 - 5*v + 3. Let p be g(r). Calculate the highest common divisor of p and 77. 7 Let a(k) be the second derivative of -k**5/20 - 3*k**4 + 11*k**3 - 26*k**2 - 4*k + 7. Let v be a(-38). Calculate the highest common divisor of 41 and v. 41 Suppose -403 = -68*s + 81*s. Let v be (-620)/s*(-4)/((-32)/6). Calculate the highest common factor of 12 and v. 3 Suppose 5*p - 11*p = -5164 - 19736. What is the greatest common divisor of p and 25? 25 Let l(u) = 13*u + 152. Let m be l(-5). Let j = -52 + 81. Calculate the highest common factor of m and j. 29 Let v be (420/6)/10 - 19/(95/(-40)). Suppose -2*h + h + 147 = 0. Suppose -78 = -5*u + h. Calculate the greatest common divisor of v and u. 15 Let l = -41 - -44. Let z be (-6 - 595/7)/(l/(-3)). Calculate the highest common factor of 104 and z. 13 Let i be (-5 + 1 - -4)/(-1). Suppose -4*x - 2*j = -620, i = 13*x - 16*x - 3*j + 462. Let p be (5/(-3))/((-4)/x). What is the highest common factor of p and 52? 13 Let w be (3/6)/(4/(-8)) + 60. Let l = w - 45. What is the greatest common divisor of l and 126? 14 Let l(s) = 2*s**2 + 5*s + 12. Let m be l(-3). Let f = 151 - m. What is the greatest common factor of f and 24? 8 Suppose 36*x - 39732 = -6*x. Calculate the highest common divisor of x and 430. 86 Suppose -3*v = b - 5 - 7, 2*v - 12 = -b. Suppose -2*w + b - 8 = 0. Suppose w*u + a = 9, 6 = 3*a - 5*a. What is the highest common divisor of 6 and u? 6 Let v(g) = -g**3 + 22*g**2 + 44*g - 450. Let d be v(23). Suppose 5*t - 823 = z, z + 35 + 128 = t. What is the greatest common factor of d and t? 33 Let z = 3 - 2. Let g(m) = 4*m**2 + 182*m + 315. Let v be g(-44). Calculate the highest common divisor of v and z. 1 Let g(p) = 16*p + 67. Let a be g(-3). Let l = 273 + -140. What is the greatest common divisor of a and l? 19 Suppose 55*i - 51*i = 192. Calculate the highest common factor of 1464 and i. 24 Let f(y) = -82*y - 632. Let i be f(-13). Calculate the highest common divisor of i and 350. 14 Let q be 95*(-2)/4*-2. Suppose 17*l - 15*l - 5*r = 122, 0 = 4*l + 5*r - 304. Let t = q - l. Calculate the highest common divisor of t and 36. 12 Suppose -30*v - 1628 = -34*v. What is the highest common factor of 74 and v? 37 Suppose -2*f = -8 + 2. Let t(s) = 50*s - s**2 - 1 - 47*s + s**3 + s**2. Let q be t(f). What is the highest common factor of 14 and q? 7 Let c = 5733 + -3940. Calculate the highest common factor of c and 33. 11 Suppose c - 3 = 3*i - 0*c, 2*i + 12 = 4*c. Let y be -5 + 8 - (-32 + i). Let s = -148 + 183. Calculate the greatest common factor of s and y. 35 Let t be (-10)/((12/(-9))/2). Let w = -7647 - -7752. Calculate the highest common divisor of w and t. 15 Suppose 5*p = -4*x + 8*p, 0 = 3*x - p - 5. Calculate the greatest common factor of x and 1660. 1 Let a = -38 - -59. Suppose 41 = a*v - 20*v. Suppose -5*b = -5*o + o - v, 0 = -4*o + 4. What is the highest common divisor of 9 and b? 9 Let f(u) = 3*u**2 + 89*u + 314. Let b be f(-34). What is the greatest common factor of b and 360? 36 Let b(l) = 54*l + 709. Let n be b(-10). Calculate the highest common divisor of n and 4225. 169 Let m be (13/13)/(-1 + (-12)/(-9)). Let j be m*7 + (10 - 10)/8. Calculate the highest common factor of 147 and j. 21 Suppose x - 2*i - 3974 = 0, -x - 5*i - 1522 + 5433 = 0. Calculate the greatest common divisor of 184 and x. 92 Let p(b) = b**2 + 6*b + 3. Let s be p(-9). Suppose 78 = 2*o - 4*x, -3*x + 20 = o - 9. What is the highest common divisor of o and s? 5 Suppose -l = -5*b - 5613, 5586 = -113*l + 114*l + 4*b. Calculate the highest common divisor of l and 18. 18 Let g(o) = -o**3 - 9*o**2 + 21*o + 1. Let n be g(-11). Suppose n = -8*c + 10*c. What is the greatest common divisor of 2 and c? 2 Let v be (-3)/((-3)/119) + 1. Suppose 4*c = -9*c - 2912. Let k = -194 - c. What is the highest common factor of v and k? 30 Let t be ((-1)/2)/((-20)/2960). Let m = 78 - t. Suppose u - 4*a - a = 57, u - m*a = 52. Calculate the greatest common factor of 8 and u. 8 Suppose -2*x = -2*o + 138, 0 = -4*o + 5*x - 0*x + 281. Let y = -478122 - -479146. What is the greatest common factor of y and o? 64 Suppose -2*s + 4*m = -80, 16*m = -2*s + 21*m + 83. What is the greatest common divisor of 4063 and s? 17 Let m = 2264 + -1304. Suppose 84*t - 2*a + 102 = 85*t, 3*t = -3*a + 333. What is the greatest common divisor of m and t? 120 Let l = 16610 + -16482. What is the highest common divisor of 320 and l? 64 Suppose 2*i + 2*p - 36 = 0, -106 = 38*i - 43*i + 3*p. What is the greatest common divisor of 1450 and i? 10 Let o be (-12)/27 - (-143)/99. Let u be o/(-4) - (-2 - 1/4). Calculate the greatest common factor of 7 and u. 1 Let m(w) = w**3 - 4*w**2 - 9*w + 66. Let k be m(5). What is the greatest common factor of k and 1150? 46 Let z = 42340 + -42337. Calculate the highest common divisor of z and 8367. 3 Suppose -4*w + 8 = 5*l + 6, -3*l = -2*w + 12. Suppose -w*n + 29 - 11 = 0. Suppose -11*z + n*z = -100. What is the greatest common factor of z and 10? 10 Let y = -30 + 30. Suppose 0 = -4*k - 5*j + 42, 3*j + 6 = -y*j. Let x = 556 - 465. Calculate the highest common divisor of x and k. 13 Let i = 14 + -8. Let j be (-168)/(-140) - (-2 - 16/20). What is the greatest common factor of j and i? 2 Suppose 0 = -2*i - 2*u + 6, -11 = i - 3*u - 2. Suppose i = -2*c - 43 + 55. Suppose 70 = -j + c*j. Calculate the highest common divisor of j and 21. 7 Suppose 46*q - 53*q = 0. Suppose -m + q = -20. Calculate the highest common divisor of 70 and m. 10 Let c = 121 - 125. Let j be c - (-2 + 1 + (-14 - 1)). What is the greatest common divisor of j and 21? 3 Suppose 0 = 11*r - 13*r + x + 3, -2*r = -3*x + 7. Suppose 2*p + r*o - 727 = -143, 4*o = -16. What is the highest common factor of 500 and p? 100 Let r be -41 - (1 + -13)/4. Let m = 40 + r. Suppose 26 = 4*q - m*q. What is the highest common factor of 13 and q? 13 Suppose 4*l - 199 = 206 - 109. Calculate the highest common factor of l and 5143. 37 Let q(b) = -30*b + 360. Let n(v) = -10*v + 121. Let x(t) = 8*n(t) - 3*q(t). Let l be x(36). What is the greatest common factor of l and 186? 62 Let h be ((-792)/3*-2)/(1 - 0). What is the highest common factor of 56 and h? 8 Let u(w) = 95*w**2 + 39*w - 392. Let c be u(7). What is the greatest common factor of c and 112? 56 Let k(l) = 18*l + 750. Let f be k(-41). What is the greatest common factor of f and 12? 12 Let o be (4/((-12)/(-15)))/((-3)/(-12)). Suppose -3*l = -2*l - o. Suppose l = 2*x - 108. What is the greatest common factor of x and 32? 32 Let w(v) = v**3 + 68*v**2 - 7*v - 434. Let d be w(-68). What is the greatest common factor of 10500 and d? 42 Let q(a) = a**3 + 2*a**2 - 24*a - 23. Let b be q(-7). Let w(t) = 134*t + 2. Let h be w(-1). Let i = b - h. Calculate the highest common divisor of 112 and i. 16 Suppose 819 = -2*a + 909. Calculate the greatest common factor of 486 and a. 9 Let t(k) = -k**3 + 2*k**2 + 19*k - 100. Let c be t(4). Let q be (12/9)/(1/(-33)). Let p = q - c. What is the highest common factor of 8 and p? 4 Let v = 56262 + -56260. Let o be 4/(-10) + 246/15. What is the greatest common factor of v and o? 2 Let k = 13161 - 12639. Calculate the greatest common factor of 324 and k. 18 Let w = -279 - -381. Let u be (39/(-2))/((-9)/w). Calculate the highest common factor of 13 and u. 13 Let h(g) = -348*g - 318. Let s be h(-4). Calculate the greatest common factor of s and 24. 6 Let h = -2434 - -2452. Calculate the greatest common divisor of h and 48798. 18 Let k be 2 - (-21)/(-12) - -1222*9/72. Let y be ((-18)/4)/(3/(-6)). What is the greatest common divisor of y and k? 9 Let s(t) = t**2 + 10*t - 44. Let v be s(-24). Suppose -7*r + 9*r - 2*b = 116, 4*b + v = 5*r. What is the highest common factor of 15 and r? 15 Let k(c) = c**2 - 4*c + 5. Let t be k(3). Let u be t - (5/(-10))/((-4)/(-2296)). Calculate the highest common factor of 17 and u. 17 Suppose -16*d + 4356 = -1020. Suppose 1050*h = 1057*h - d. Calculate the greatest common divisor of 16 and h. 16 Let a(t) = t. Let v be a(0). Suppose 4*p + p - 210 = v. Let g = -22 + 43. Calculate the highest common divisor of g and p. 21 Suppose 12*j - 241 = 899. Calculate the highest common divisor of j and 57. 19 Let c = 1032 + -1030. Suppose 0 = 3*o - 4*o + 1. Let m be -1 + o/1 - -14. What is the highest common factor of
{ "pile_set_name": "DM Mathematics" }
6 - 57. Let n = k + 77. What is the remainder when 41 is divided by n? 9 Suppose -2*r = -r - 3. Suppose -r*j - 2*w = 3*w - 45, j - 2*w - 15 = 0. What is the remainder when 57 is divided by j? 12 Suppose -u = 5*u + 18. Calculate the remainder when 44 is divided by (177/12 - (-2)/8) + u. 8 Let h(u) = 8*u + 494. Calculate the remainder when 431 is divided by h(-55). 53 Suppose -7*y + 13 + 57 = 0. Suppose -o = -4*s + 3 + y, o + 4 = s. Let f = -2 - -10. Calculate the remainder when f is divided by s. 2 Suppose 0*z - 4 = z. Let n = -932 - -941. What is the remainder when (0 + 6)*(-22)/z is divided by n? 6 Let d = 85 - 76. What is the remainder when 18 is divided by d? 0 Calculate the remainder when 360 is divided by 53 + -4 + 33/11. 48 Let l = -13 - -14. Let v be 17/4*(l + 3). Suppose -v*w + 14*w = -54. Calculate the remainder when 70 is divided by w. 16 Let r = 93 + -87. Calculate the remainder when 41 is divided by r. 5 Let g(x) = x**2 - 2*x + 1. Let z be g(-4). Suppose 4*s - 5*q - 373 - 36 = 0, -z = 5*q. What is the remainder when s is divided by 25? 21 Suppose -2953 = -7*p + 1058. What is the remainder when p is divided by 25? 23 Suppose 24064 = 12*o + 52*o. Calculate the remainder when o is divided by 64. 56 Suppose y = -2*y + 30. Let z be 0 - 1*(-6 + 3). Suppose 4*j - 201 = -5*n, -z*j - 4*n + 2*n + 149 = 0. Calculate the remainder when j is divided by y. 9 Let n = 363 + -348. What is the remainder when 19 is divided by n? 4 Let x(f) = f**3 - 7*f**2 - 5*f - 13. Let i be -3 - -2 - 9*-1. What is the remainder when 54 is divided by x(i)? 10 Suppose -a = 2*a - 87. Let j = -18 + a. What is the remainder when 1*3/((-6)/(-38)) is divided by j? 8 Let x be ((-32)/1)/(-2) - -1. Calculate the remainder when 1 - -31 - (x + -14) is divided by 17. 12 Suppose -6*g + p - 109 = -g, -5*p + 20 = 0. Let h = 26 + g. What is the remainder when 9 is divided by h? 4 Let b = -270 + 295. What is the remainder when b is divided by 7? 4 Let y = 285 + -259. Calculate the remainder when 59 is divided by y. 7 Let w(i) = -i**2 + 10*i + 2. What is the remainder when 14 is divided by w(10)? 0 Let b be (-47)/1 + (1 - 3). Suppose 0 = -196*a - 23*a + 27*a + 3264. What is the remainder when (0 + 1)*(-1 - b) is divided by a? 14 Suppose 4*s = -4*v + 2544, -636 = -4*v + 3*v + s. Calculate the remainder when v is divided by 58. 56 Let s = 194 - 126. Suppose 7 = -d + 2, 4*i - 2*d - 38 = 0. Suppose i*k - s = 16. What is the remainder when 34 is divided by k? 10 Let p be 1*18 - (-6 - -10). What is the remainder when 73 is divided by 544/p - 5/(4 + -39)? 34 Let m(l) = -l + 22. Let b be (-32 - -2)*(-4)/8. What is the remainder when 20 is divided by m(b)? 6 Let b = -6 - -9. Suppose -3*p + 145 = -5*q, 0 = -6*p + b*p + 4*q + 149. Let x = -35 + p. Calculate the remainder when 76 is divided by x. 16 Let v = -578 - -611. What is the remainder when 524 is divided by v? 29 Suppose -14*j + 3066 = 770. What is the remainder when j is divided by 39? 8 Let f(d) = 2*d + 1. Calculate the remainder when (-4)/5 + (-2262)/(-290) is divided by f(2). 2 Calculate the remainder when 680/6*(-14 - 430/(-20)) is divided by 283. 1 Let v = -513 - -593. What is the remainder when v is divided by 17? 12 Let z(q) = -q**2 - 18*q - 41. What is the remainder when 48 is divided by z(-11)? 12 Let l(d) = 1. Let f(x) = 4*x - 8. Let z(a) = -f(a) - 8*l(a). Let o be z(-4). Calculate the remainder when 1 + (-2)/(-2) + o is divided by 7. 4 Let w be 2*((-3)/(-2))/(-1). Let j(l) = -13*l**2 - 11*l - 3. Let b(f) = 4*f**2. Let n(i) = 3*b(i) + j(i). Calculate the remainder when 39 is divided by n(w). 18 Suppose 13 = 3*z - 2. Let o = 54 - 60. Let d(a) = 3*a + 35. What is the remainder when d(o) is divided by z? 2 Let v(u) = 4*u**2 - 6*u + 10. Let d be v(9). Let i = d + -173. Calculate the remainder when i is divided by 18. 17 Suppose 2*m - 4 = -g, 0 = m - 6*m + 2*g - 8. Suppose m*c - 62 = -2*c. Suppose -c + 95 = u. What is the remainder when u is divided by 33? 31 Let c(z) = -z**2 + 10*z. Let y = 0 + 11. Let x = y - 2. Calculate the remainder when c(x) is divided by 6. 3 Let f(x) = -2*x + 40. Let r = 3 - -10. What is the remainder when 69 is divided by f(r)? 13 Let l = -608 - -633. Calculate the remainder when l is divided by -22*(0 - 1/2). 3 Let g(o) = 2*o**2 - 22*o - 4. Let d be g(13). Let u = -13 + d. Calculate the remainder when 103 is divided by u. 33 Let b = -28 - -38. Suppose -13*x + b*x + 33 = 0. What is the remainder when x is divided by 7? 4 Suppose 2*w - 4*c = -3*c + 105, 4*w + 2*c - 190 = 0. Let t = w + -43. What is the remainder when 15 is divided by t? 1 Let q(d) = -2*d. Let p(a) = 3*a - 1. Let v(t) = -2*p(t) - 2*q(t). Let b be v(-2). Let c = 6 + b. What is the remainder when 59 is divided by c? 11 Suppose -2*w - 137 + 339 = 0. Suppose 8*j = 35 + w. What is the remainder when 37 is divided by j? 3 Let b = 328 - 320. Suppose 0 = x - 3*i - i - 21, -3*i = 12. Calculate the remainder when b is divided by x. 3 Suppose -9 = -w + 13. Suppose m = -2*m - 12. Calculate the remainder when w is divided by ((-10)/2 - m) + 9. 6 Let w(p) = -3*p - 7. Let r be w(-3). Suppose -80 + 0 = -r*d. Suppose 0 = -2*t + 3*f + 23, d = 4*t - 5*f - 7. What is the remainder when t is divided by 4? 1 Let v = -23 + 26. Suppose -5*z - 73 = -4*a, v = z - 0. What is the remainder when a is divided by 4? 2 Suppose -v + o + 22 = 0, -3*v + 4*o + 13 = -2*v. Let w(f) = f**3 + f**2 - 3*f + 5. Calculate the remainder when w(4) is divided by v. 23 Let a = 1271 + -840. What is the remainder when a is divided by 36? 35 Suppose 5*d - i - 90 = 4*d, 0 = -d - 5*i + 60. What is the remainder when d is divided by 15? 10 Suppose 0 = -17*o + 113 + 363. Calculate the remainder when o is divided by 18. 10 Let b = 8 + 15. Suppose -3*f - 84 + 354 = 0. Suppose f = 5*x - 3*x. What is the remainder when x is divided by b? 22 Suppose 0 = -4*g + 9*g - 1035. Let s(l) = -l - 7. Let v be s(-7). Suppose 4*x - g - 85 = v. Calculate the remainder when x is divided by 19. 16 Suppose 0 = -4*k + 3*u + 43, -5*k + 39 = 4*u - 7. Suppose k = b + b. Calculate the remainder when 65/9 - (-16)/(-72) is divided by b. 2 Let h(j) = j**3 - 9*j**2 + 10. Suppose 5*v = 3*q - 20, v + v + 8 = 4*q. Suppose -9*n + 4*n + 185 = q. What is the remainder when n is divided by h(9)? 7 Let m(d) = -49*d - 5. Let j be m(1). Let o = 85 + j. What is the remainder when o is divided by 17? 14 Let b(j) = j + 11. Let l be b(8). Suppose -2*z + 13 = -o, 3*z + 2*z = o + 31. Suppose -l = -k + z. What is the remainder when 98 is divided by k? 23 Let p(s) = -s**3 - 6*s**2 + s + 3. Let c(o) be the third derivative of 7*o**4/24 + o**3/3 - o**2. Calculate the remainder when p(-7) is divided by c(3). 22 Let m = 32 - 4. Let v = -20 + m. What is the remainder when 14 is divided by v? 6 Let z = 1062 - 799. Calculate the remainder when z is divided by 69. 56 Suppose 4*t = 3*t + 48. Let r be (-77)/(-14)*(0 + 2). Let g = 28 - r. Calculate the remainder when t is divided by g. 14 Suppose -2*g = 2*m - 12, 0*m = -2*m. Suppose -65 = -g*y + 121. What is the remainder when y is divided by 19? 12 Let y(p) = 140*p - 6. Let n be y(2). Let v = n + -160. What is the remainder when v is divided by 29? 27 What is the remainder when (-10 + 5)*(-10 - 10) is divided by 23? 8 Suppose n = 2*h - h + 24, 2*n + 5*h = 34. Suppose 5*m + 5 = 5*j, -4*j + 1 = -5*m + 4*m. Calculate the remainder when (n/(-4))/(m/6) is divided by 12. 9 Let u be (-11 - -103)/(1/1). Suppose 2*v = u + 154. Calculate the remainder when v is divided by 42. 39 Suppose 5*g = -b - 45 + 1054, -2*g + 399 = 5*b. What is the remainder when g is divided by 5? 2 Suppose -94*o + 98*o - 124 = 0. Calculate the remainder when 155 is divided by o. 0 Suppose h = -5*b + 13, 2*h - 4*b - 4 = -2*h. Suppose -5*g - 2*w = -5*w - 27, -h*w = 2*g - 15. What is the remainder when 519/15 + g/15 is divided by 12? 11 Let n(a) = 7*a**2 + 57*a - 10. What is the remainder when n(-9) is divided by 0 + 1 - 2 - -10? 8 Let z be 2/(-5) - 18/5. Let f = 1 - z. Suppose 18 = t + 2*x, t - 81 = -t + f*x. Calculate the remainder when t is divided by 10. 8 Let h = 40 + -37. Let o be 8 - 6 - (1 - h). Suppose 113 - 1 = o*r. Calculate the remainder when r is divided by 8. 4 Let a = 347 + -151. Suppose -5*f + a + 44 = 0. Let w = f - 34.
{ "pile_set_name": "DM Mathematics" }
3. Let d be h(0). Suppose 0 = -5*n - 5*i + 1715, d*n + i + 4*i = 1031. Suppose -6*u + n = -4*u. What are the prime factors of u? 3, 19 Let m(u) be the first derivative of -11*u**2/2 - 18*u - 316. Suppose y + 7 = -0*y. What are the prime factors of m(y)? 59 Let y = -27 - -39. Suppose s + 2*n + y = 5*s, -4*s + n = -12. Suppose -4*g + 222 = -s*k, -2*g = 2*g + 3*k - 234. What are the prime factors of g? 3, 19 Let g(i) be the second derivative of -i**4/12 - i**3/6 + 42*i**2 + 7*i. Let d be (-4 - 1) + 3 + 2. What are the prime factors of g(d)? 2, 3, 7 Let d(q) = 9*q**2 - 247*q - 802. List the prime factors of d(93). 2, 7, 1931 Let x = -18058 - -36673. What are the prime factors of x? 3, 5, 17, 73 Suppose -2*c + 4554 = 3*k - 6113, -2*c = -5*k - 10627. What are the prime factors of c? 2, 2663 Let h be (31809/(-92))/((-11)/8 - -1). Suppose h = 4*q - q + g, 3 = 3*g. Suppose -3*z = 2*m - 287, -252 = -4*m - 3*z + q. What are the prime factors of m? 2, 17 Let f(g) = 64*g**3 - 2*g**2 + g - 1. Let t(n) = -2*n**2 + 40*n + 16. Let p be t(20). Suppose -4*o - p = 0, -w - 3*o - 8 = 3*w. List the prime factors of f(w). 2, 31 Let d(o) = 10*o**2 - 162*o - 4172. List the prime factors of d(-42). 2, 7, 181 Let h(f) = 53*f**2 + 7*f + 652. List the prime factors of h(-22). 2, 5, 523 Let m be 80/36 - ((-40)/(-18) - 2). What are the prime factors of 563/2 + m/4? 2, 3, 47 List the prime factors of -4*18/((-1152)/63664). 23, 173 Suppose -4*z + 132 = 144. What are the prime factors of ((-4)/z)/(3*(-9)/(-8505))? 2, 3, 5, 7 Suppose -6*s = -5*s - 135. Let u be 12/(-3) + s/(-9). Let l = 133 + u. List the prime factors of l. 2, 3, 19 Let d = -9017 - -40856. What are the prime factors of d? 3, 10613 Let d(v) = 3*v - 12. Let q be d(5). Suppose b = 4*p + q*b - 164, 5*p - 211 = -b. Suppose -6*w + 125 = -p. List the prime factors of w. 2, 7 Let j(u) = 16*u - 7. Let v be j(-5). Let m = v + 240. What are the prime factors of m? 3, 17 Suppose -a = 726*l - 731*l - 47408, 5*a - 237256 = -2*l. List the prime factors of a. 2, 3, 659 Let l(s) = 6*s + 15. Let p be l(7). Let k = -2 + p. List the prime factors of k. 5, 11 Let t(u) = 693*u**2 + 185*u - 7. What are the prime factors of t(2)? 3, 5, 11, 19 Let p = 1248 + -775. Let r be ((-9 - -6) + 3)/(-3). Suppose r = 5*l + 73 - p. What are the prime factors of l? 2, 5 Let v be ((-120)/132)/(2/(-11)). What are the prime factors of 3/v*14480/24? 2, 181 Suppose 4*u + 29*u = 57*u - 474408. List the prime factors of u. 3, 11, 599 Let s = 285 + -678. Let g = s + 414. What are the prime factors of g? 3, 7 Let c be -12*((-1)/(-1))/2. Let z(d) be the second derivative of -25*d**3/3 - 39*d**2/2 - 122*d. List the prime factors of z(c). 3, 29 What are the prime factors of ((-758)/(-4))/((-25)/(-650))? 13, 379 Let l = 30061 - 12173. List the prime factors of l. 2, 13, 43 Suppose 3*y = 9*y - 24. Suppose 3*i + 3*m - 4*m = -36, y*m - 24 = 2*i. Let w(s) = s**2 + 13*s + 17. What are the prime factors of w(i)? 5 Suppose -10*g + 8*g + 10 = -4*b, 3*b - 25 = -5*g. What are the prime factors of (b - (-13996)/12) + 9/(-27)? 2, 11, 53 Suppose -6*x - 10 = -x. Let m be (5 + -47)*13/x. Let b = -177 + m. List the prime factors of b. 2, 3 Let t be 0*((-140)/(-84) - (-2)/(-3)). Suppose -27*r + 38*r - 2563 = t. List the prime factors of r. 233 Let g(v) = -v**3 + 28*v**2 + 68*v - 36. Let h be g(31). Let b = h + 1424. List the prime factors of b. 613 Suppose 1087151 = 29*q - 415252. What are the prime factors of q? 3, 7, 2467 Let x(r) = 23 + 22 + 17*r**2 + 3*r**3 + 31*r - 55*r**2 - 6*r**3 + r**3. What are the prime factors of x(-20)? 3, 5 Suppose 23300*m - 200193 = 23279*m. List the prime factors of m. 9533 List the prime factors of 14/(-14)*-1744*(0 + 1). 2, 109 Let y = 923 - -181. Let f = -196 + y. List the prime factors of f. 2, 227 List the prime factors of (-184)/322 - 52231/(-7). 3, 829 Let x(a) = -a**3 + 7*a**2 + 16*a + 20. Let y be x(9). Suppose 2*i = -y, -5*p = -p - 2*i - 3522. What are the prime factors of p? 2, 5, 11 Suppose -637692 = -45*y + 121*y - 2829988. List the prime factors of y. 2, 14423 Let w = -21 - -25. Let z(p) = p**2 + 13*p - 10. Let n be z(-15). List the prime factors of ((-2)/(-5))/((n/825)/w). 2, 3, 11 What are the prime factors of 86/4*(578 - 124)? 43, 227 Suppose -96*o + 1847870 = -1733426 - 1590416. List the prime factors of o. 2, 7, 13, 37 Let i(l) be the second derivative of -7*l**3/2 - 25*l**2/2 - 33*l. List the prime factors of i(-9). 2, 41 Let m(d) = d**3 - 6*d**2 + 16*d + 2. Let a be m(7). Suppose 0 = -4*l + 17 + a. Suppose s - l = 4*k, 3*k - 2*k - 25 = -s. List the prime factors of s. 29 Let a(b) = -b**3 + 83*b**2 - 78*b + 540. List the prime factors of a(66). 2, 3, 643 Let s(l) = l - 1. Let h(u) = -u + 1. Let n(b) = -6*h(b) - 5*s(b). Let i be n(-3). List the prime factors of (-1881)/(-44) - 1/i. 43 Let c(n) = 50*n - 51. Let h be c(14). Let k = 1043 - h. Suppose -4 = -z, 5*y - 2*z - k = -62. What are the prime factors of y? 2, 17 Suppose 4*h = 3*j + 69885, -3*j + 0*j = 5*h - 87390. List the prime factors of h. 3, 5, 233 Suppose -7*s - 2880 = -11161. List the prime factors of s. 7, 13 Let c = 59 - 45. Suppose 113 = c*l - 419. Let r = l + 149. List the prime factors of r. 11, 17 Suppose 0 = 133*o - 128*o - 98920. Let r be (o/4)/(-2) + -2. List the prime factors of r/(-35) + 9/7 + -1. 71 Suppose 69*r = 67*r - 242. Let a = 45 - r. Suppose -2*y + a = -212. What are the prime factors of y? 3, 7 Suppose -1552 = -5*n + 10*x - 12*x, -2*x = 3*n - 932. Let a = n - 64. What are the prime factors of a? 2, 3, 41 Let o be 6/16*-6*148/(-37). Let l(f) = 46*f + 28. What are the prime factors of l(o)? 2, 13, 17 Suppose 45 = 5*q - 5*p, -5*q + p + 11 = -22. Let i(c) = c**3 - 2*c**2. Let u be i(q). Suppose 0 = -5*o + o + u. List the prime factors of o. 2, 3 Let n = 58119 - 28076. What are the prime factors of n? 13, 2311 Suppose 3*u + 19 = 2*h - 0*h, 5*u + 3*h = 0. Let z be -1*(-2 - (1 + u)). Suppose z = -3*g - 11*g + 1526. What are the prime factors of g? 109 Let w(t) = 121*t + 374. List the prime factors of w(34). 2, 3, 11, 17 List the prime factors of 201 + 13118 - 9*1. 2, 5, 11 Let l be (-3)/(-9) - 308/(-21). List the prime factors of ((-982)/3)/((-5)/l). 2, 491 Let f be (-1)/((-4)/48*3). Suppose b + 2 = 0, b + 2 = -2*z + f. Suppose 5*p = -4*x + 293, z*p - 116 = -3*x + x. List the prime factors of p. 61 Suppose 3*v - 4 = -3*n - 28, -2*n = -5*v - 40. Let m be (-383)/(-2) - 6/(-12). What are the prime factors of (6/(-4))/(v/m)? 2, 3 List the prime factors of (-121424 - -26)*(4/(-3) - -1) + -1. 5, 8093 Suppose -10*q + 1801 = 561. Suppose q*i = 118*i + 3762. List the prime factors of i. 3, 11, 19 Suppose 0 = -4*p + 3*k - 3525 + 54289, 0 = -4*p + 4*k + 50756. What are the prime factors of p? 12697 Let i = 359 - -1678. List the prime factors of i. 3, 7, 97 Let d(t) = t + 4. Let a be d(6). Let y be 8/a + -1*30/(-25). Suppose -y*w = l - 369, w + 3*l = -l + 202. List the prime factors of w. 2, 7, 13 Suppose -19*j = -2*j + 3162. Let n = -31 - j. What are the prime factors of n? 5, 31 Let y = -13456 + 19268. List the prime factors of y. 2, 1453 Let c(o) = 2*o - 69 + 76*o - 64 - 53. List the prime factors of c(13). 2, 3, 23 Suppose n + 0*n = -h - 34, -5*n - 2*h = 167. Let q(m) = 9*m**2 - 11*m. Let j be q(4). Let r = j + n. List the prime factors of r. 67 Let m = -103 - -103. Suppose 7*f - 3*f - 5*w - 1555 = m, 3*f = -w + 1190. List the prime factors of f. 5, 79 Let q = -33 + 38. Let k(p) = -q - 14 + 6*p - 2. What are the prime factors of k(15)? 3, 23 Let w be 1*-5*10/(-25). Suppose -w*f = -3*c + 9, 2*c - 3 = 2*f + 3. Suppose -3*y - 500 = -5*u - 8*y, -2*y = f. List the prime factors of u. 2, 5 Let m(s) = 82*s**2 + 16*s + 51. Let n be m(-5). Suppose 15*a - 1549 - n = 0. What are the prime factors of a? 2, 7, 17 Let m(k) = -k**2 + 19*k - 58. Let u be m(15). Suppose -785 - 7 = -2*r - 4*l, -4*r + 1602 = u*l. What are the prime factors of r? 2, 3, 67 Suppose 20*q - 19 = 1. Let a(x) be the first derivative of 87*x**4/4 + x + 3. What are the prime factors of a(q)? 2, 11 Suppose 5*f + 1 = 4*q - 0, -2*q = -4*f - 2. Let a(g) = -81*g**3 - g**2 - 4*g - 3. List the prime factors of a(q). 3 Suppose 2*v = 4*w + 7*v - 124, -3*w + v + 112 = 0. Suppose 25*b - w*b = -3487. List the prim
{ "pile_set_name": "DM Mathematics" }
late the least common multiple of x and 2. 14 Let r = -12 + 22. Let i(z) = 2*z - 11. Calculate the least common multiple of 5 and i(r). 45 What is the common denominator of 703/126 - 30/135 and 67/20? 140 Let x = -6 + 3. Let i(w) = w**3 + 5*w**2 + 3*w - 3. Suppose 7*r - 2*r - 20 = p, 4 = r - 5*p. What is the smallest common multiple of r and i(x)? 12 Let y = 39 - 23. Let f(x) = x**2 + 11*x - 4. Let p be f(-7). Let c = -12 - p. What is the least common multiple of c and y? 80 Let o be 3/(9/21 - 0). Suppose -o = -t + 9. What is the least common multiple of t and 10? 80 Let t = -7202/95 - 300/19. Let h = -3056/35 - t. Calculate the common denominator of h and 38/9. 63 Let a(z) = -12*z - 2. Calculate the lowest common multiple of a(-1) and 8. 40 Let v be 2/(-3) + 448/42. What is the common denominator of (3/(-6))/((-4)/v) and 99/20? 20 Let n(v) = -3*v - 3. Let j be n(-2). Suppose 3*t - o + 78 = 3*o, j*o = -9. Find the common denominator of t and 9. 1 Let u(r) = -r - 3. Let y be u(-6). Let a = y + 19. Let j(q) = -2*q + 6. Calculate the smallest common multiple of j(-6) and a. 198 Let m be (-1202937339228)/(-5296)*(-4)/(-6). Let p = -151427196 + m. Let w = 2/331 - p. Calculate the common denominator of w and -25/22. 22 Suppose 3*x - 6 = -4*m + 30, 2*m - 14 = -x. Calculate the smallest common multiple of 8 and x. 8 Let f = -42089/4812 + -4/1203. What is the common denominator of f and ((-77)/6)/((-10)/6)? 20 Suppose 2*v + 36 = 5*v. Let d = v + 9. Let x = d + -15. Calculate the smallest common multiple of x and 8. 24 Find the common denominator of -83/6 and ((-13)/(-8))/(783/(-36) + 6). 126 Let m = 163/18 - -10/9. Find the common denominator of 43/6 and m. 6 Let n(b) = -b**3 - 2*b**2 - 3*b - 3. Let q be n(-2). Let x(w) = -9*w**2 - w + 10*w**2 - 2 - 2. What is the lowest common multiple of x(q) and 10? 10 Let a = -1 - 3. Let x(z) = -z**3 - 5*z**2 - 3*z + 2. Let c be x(a). Calculate the least common multiple of (-8)/c*2/4 and 10. 10 Suppose 2*o = 2 + 2. Calculate the lowest common multiple of 22 and o. 22 Let o = 8 + 0. What is the least common multiple of 3 and o? 24 What is the common denominator of 50/39 and ((-38)/(-16))/(24/(-32))? 78 Let a = 851133 - 11816261/14. Let y = -7120 + a. Find the common denominator of y and 47/22. 154 Suppose 0 = 5*v + 28 - 3. Let i = 3 + v. Calculate the lowest common multiple of 10 and 2 - (i - -2)/3. 10 Let t = -5/15028 - -421469/2058836. Let y = -4527/1370 + t. Calculate the common denominator of 15/2 and y. 10 Let i be 15150/(-64)*(-48)/44. Let k = -2886/11 + i. Calculate the common denominator of k and -26/9. 72 Suppose 3*b - 49587 = 3*y, 109786 = -4*y + 2*b + 43670. Let h = 27008 + y. Let j = -230619/22 + h. What is the common denominator of j and -137/6? 66 Let z be -3 + (2492/508 - 2). Let x = -13469/1270 + z. What is the common denominator of -89/8 and x? 40 Suppose 0 - 15 = -5*f. Suppose -4*g = -d - f, 3*g - 5*d + 19 = -0*d. Let j(o) = 2*o - 2. What is the smallest common multiple of j(3) and g? 4 Let t(d) = 58*d**2 - d + 1. Let c be t(1). Let i = -579 - c. Let h = -7019/11 - i. Find the common denominator of -67/9 and h. 99 Let f = 468121093/278796 - -52/23233. Let n = -1680 + f. Find the common denominator of n and -29/22. 132 Suppose v - 5*k = -3*v + 57, 0 = 5*v + k - 35. Let g = v + 3. Calculate the least common multiple of g and 7. 77 Let m = -1988/1629 + -1/543. Find the common denominator of 33/35 and m. 315 Suppose 8 = 2*x - 56. What is the smallest common multiple of x and 22? 352 Suppose -x - 4*x + 30 = 0. What is the least common multiple of x and 9? 18 Find the common denominator of (12 - 10)/((-4)/(-39)) and -11/7. 14 Let i be 64/(-24)*3/(-2). Suppose y - z = 3*y - 15, -2*y = -i*z - 20. What is the smallest common multiple of y and 10? 40 Let y be (0 - -2)/(4/8). Calculate the smallest common multiple of 20 and (-28)/21*(-66)/y. 220 Let l(h) = -h**3 + 5*h**2 + 6*h. Let p be l(6). Let a = p + 2. Suppose 5*g + a*y = -y + 53, -2 = -2*y. Calculate the smallest common multiple of 2 and g. 10 Let g = 3 + 3. Let y(s) = 10*s**2 + s. Calculate the smallest common multiple of y(1) and g. 66 Let g(h) = -2*h + 2. Let y(v) = -2*v. Let u be y(1). Let x be g(u). What is the common denominator of 170/(-32)*x/5 and 63/10? 40 Let q be (-1*1)/((-2)/22). Let m = 23 - q. What is the common denominator of -7/18 and 324/28*(-2)/m? 126 Suppose 2*j = 3*j. Suppose j = 4*t - 6*t + 44. Calculate the smallest common multiple of 18 and t. 198 Suppose 0 = -4*o - 4*r + 20, -4*r + 11 = -3*o + 4*o. Let a(z) = 2*z**2 + 1 - 4*z + 0 - o*z**2. What is the lowest common multiple of 16 and a(-3)? 16 Let w = -25257/886 - -3/443. Let q = 6247/1661 + -60/151. Calculate the common denominator of q and w. 22 Let t = 17 + -28. Suppose c = 5*f + 24, -3*f + 16 = -c + 36. Find the common denominator of 4/(-2) - (-25)/t and c. 11 Calculate the common denominator of 159/4*((-12)/4)/(-9) and 89/2. 4 Let c(y) = y - 9. Let i be c(13). Suppose -i*n = -5 - 27. Calculate the smallest common multiple of 12 and n. 24 Let z = -13 + 13. Suppose z = -x + 5*x - 88. What is the lowest common multiple of x and 10? 110 Suppose -t = 2 + 1. What is the lowest common multiple of (2/(-3))/((-3)/45) and 1*(2 + 3) + t? 10 Suppose 4*s - 3*s - 6 = 0. What is the lowest common multiple of s and 34? 102 Find the common denominator of (-110)/18 + 12/4 + -4 and -45/8. 72 Suppose -3*c + 7*t - 2*t + 7620 = 0, -4*c - 3*t + 10189 = 0. Let r be (-3154)/(188/(-58) + 2). Let o = c - r. Find the common denominator of 47/20 and o. 180 Let w = -7200/7 + 143573/140. Find the common denominator of w and 97/8. 40 Let c(u) = 2*u**2 + 2*u - 3. Let o = -2 + 3. Calculate the lowest common multiple of o and c(-3). 9 Let u = -2/1211169 + -1069462019/125961576. Let p = u + 81/26. What is the common denominator of (-568)/(-12) - (-1)/6 and p? 8 Let h(z) = 3*z. Let u be h(1). Suppose 2*i - u*i + 33 = 0. What is the common denominator of 121/6 and 4/6 - 130/i? 66 Let w(q) = -q**3 - 7*q**2 + 5*q - 15. What is the smallest common multiple of 30 and w(-8)? 90 Let c = 5 - 6. Calculate the lowest common multiple of (c - 1) + 18 + -6 and 4. 20 Let u = 141 + -1271/9. What is the common denominator of u and 43/12? 36 Let u = 7/9 + -199/36. Let i = 107059/1586 - 2/793. Let y = -62 + i. What is the common denominator of y and u? 4 Calculate the least common multiple of (2/(-5))/((-1)/10) and (42/(-147))/(1/(-7)). 4 Calculate the common denominator of ((-4)/(-102))/(40/1185) and 3/16. 272 Suppose -3*w = -3*t - w + 95, 0 = 4*w - 8. What is the lowest common multiple of t and 33? 33 Let j(d) = -d**2 - 2*d + 11 - 12 - 3*d - 5*d. Let r = 16 + -8. What is the smallest common multiple of j(-7) and r? 40 Let u(v) = -v - 3. Let n be u(-6). Let l = 900 + -1877/2. Calculate the common denominator of n/22*(-136)/(-6) and l. 22 Let l be ((-36)/16 + 2)*2345. Let b = -4601/8 - l. Calculate the common denominator of b and 28/11. 88 Let b = -7160/981 + -28/109. What is the common denominator of -82/33 and b? 99 Let o(s) = s**2 + 11*s + 10. Let q be o(-10). Suppose -2*k + 2*w + 14 = q, -2*k - w + 3 = 2*k. What is the lowest common multiple of k and 4? 4 Let b = 93 + -68. What is the smallest common multiple of 5 and b? 25 Let k = 8/1379 + -92489/16548. Calculate the common denominator of -107/18 and k. 36 Let w(o) = -3*o**2 - o. Let f be w(1). Find the common denominator of ((-116)/(-50))/((-88)/(-55)) and f/(-10) - (-177)/(-80). 80 Let k be (-56 - 12)*(-14 + 1). Let y = 9712/11 - k. Find the common denominator of 9 and y. 11 Let j = 8 - 4. Suppose j*l = 72 + 8. What is the smallest common multiple of 22 and l? 220 Let r(o) = o**3 + 8*o**2 + 7*o - 2. Let y be r(-7). Let s be 220/(-8)*y/(-2). Let v = -183/10 - s. Calculate the common denominator of 131/6 and v. 30 Let y be (11/4 - 2)*-4. Let w = 0 + y. Calculate the common denominator of 85/16 and w/(((-60)/(-17))/(-3)). 80 Suppose -4*z + 5*a + 47 = 0, z - 5*z + a = -35. What is the lowest common multiple of 9 and z? 72 Let q = -8 - -13. Let k(d) = -d**3 + 5*d**2 + 7. Calculate the lowest common multiple of q and k(5). 35 Let j = 2/799 - -37525/11186. Calculate the common denominator of 3/5 and j. 70 Let r = 337/5 - 1473/20. Let l = 749/116 + -6/29. Calculate the commo
{ "pile_set_name": "DM Mathematics" }
13? False Let n(j) = -10*j + 21. Let d(b) = b**2 + 9*b - 19. Let h(f) = 2*d(f) + 3*n(f). Let k be 40/(-6) - (-1)/(-3). Is 9 a factor of h(k)? True Is (-8)/360*-5 - 55438/(-18) a multiple of 7? True Let s(w) = 3*w - 32. Let i(r) = 7*r - 63. Let p(g) = 2*i(g) - 5*s(g). Suppose -2*c - 3*c - 10 = 2*h, 5*h = 2*c + 4. Is p(h) a multiple of 6? False Let s = 118 - 116. Suppose f - 6 = -0*f + j, -f = -s*j - 3. Let g(u) = u**2 - 3*u - 2. Is 4 a factor of g(f)? True Suppose 6*t = -57 - 417. Let u = t - -83. Does 6 divide (-261)/(-15)*((-1 - -2) + u)? False Let j(m) = -1011*m - 1019. Is 8 a factor of j(-9)? True Let b(o) = 5787*o - 1224. Does 15 divide b(4)? False Does 98 divide (-3)/36*-18*(-4214)/(-3)? False Suppose -4*z - 3*f = -4*f + 51, -z - f - 9 = 0. Let j = -40 - z. Does 6 divide (j/35)/((-2)/60)? True Let w(m) = m**2 + 10*m - 4. Let q be w(-12). Let z be q/5 + (-3)/(-1). Suppose z*i = 5*i + 288. Is i a multiple of 16? True Let j(f) = -f**3 - 3*f**2 + 41*f + 120. Does 18 divide j(-19)? False Let x be ((-1821)/12 - 5) + (-3)/(-4). Is 13/(x/18) + (-126)/(-4) a multiple of 6? True Suppose -2*w - 17*t + 1780 = -21*t, 4*w + 3*t = 3505. Does 22 divide w? True Let p = -7808 - -5164. Is 18 a factor of p*((-32)/4)/32? False Let p = -27611 + 27896. Does 5 divide p? True Let d(u) = -4*u - 31. Let m be d(-7). Let q(g) = -5*g**3 - 2*g**2 - 2*g + 7. Is q(m) a multiple of 6? False Let c = -423 + 895. Suppose 7*u - c = 788. Is 15 a factor of u? True Let m(u) = -52*u**3 + 7*u + 7. Let z(s) = 35*s**3 - 5*s - 5. Let n(x) = -5*m(x) - 7*z(x). Let r be n(-1). Let t = 40 - r. Does 16 divide t? False Let x = -17994 + 20033. Does 11 divide x? False Let f(l) be the second derivative of l**4/3 + 5*l**3/6 + 9*l**2/2 + 11*l. Suppose 5*c + 26 = -4. Does 16 divide f(c)? False Suppose 49 = 4*i + 249. Let d = -47 - i. Does 27 divide (-2 + d)/(6/786) + 0? False Let b = 3513 - -7447. Is b a multiple of 8? True Let i = 39 + -38. Suppose -i = -p - m - 2*m, 0 = 5*m - 20. Let f(g) = -g + 17. Does 10 divide f(p)? False Let b = 83 + 55. Suppose 10 = 5*c, -338 - b = f - 2*c. Is 7 a factor of f/(-40) + 1/15*3? False Let q(p) be the second derivative of -3*p + 1/20*p**5 - 4 + 5/6*p**4 - 7/6*p**3 + p**2. Is q(-10) a multiple of 13? False Let y(g) = -2*g**3 + 10*g**2 - 27*g - 22. Let m(j) = -j**3 + 12*j**2 - 26*j - 23. Let c(r) = 3*m(r) - 2*y(r). Is c(-15) a multiple of 13? False Suppose n = 5*n - 8. Suppose 6*l - n*g = l + 5, 4*g = -3*l + 29. Does 14 divide (-1)/(l + (-242)/80)? False Suppose -636 = 2*r - 888. Suppose 441*y - 440*y - r = 0. Does 6 divide y? True Let l(t) = 252*t - 659. Does 57 divide l(22)? False Let x be ((-4)/(-5))/(5/25). Suppose 2*t = x*t - 4. Suppose t*s = 8, -2*y - 2*s = -4*y + 88. Is y a multiple of 16? True Let u(s) = -41*s + 1116. Let y be u(25). Let i = 169 + -117. Let p = y - i. Is p a multiple of 5? False Suppose -246*z + 249*z + 3*m = 11796, z = 5*m + 3938. Does 9 divide z? True Suppose 12*v = 17*v - 20. Suppose -3 = j - 3*n, 0 = v*j + 2*n - n - 14. Suppose j*s - 5*t + 2 = 0, -5*s + 43 = 3*t + 1. Is s a multiple of 5? False Suppose m - i - 9085 = 0, -13*m + 8*m - 4*i = -45452. Is m a multiple of 64? True Let t be (-1)/3 + 26/6. Suppose -t*y = 3*v - 601, 288 = -y + 3*y + 4*v. Is 22 a factor of y? True Suppose 0 = -5*l + 3*a + 6387, 729*l + 1293 = 730*l + 2*a. Is 47 a factor of l? False Suppose 2*f + 3 = 1. Let n(z) be the third derivative of -7*z**6/60 + z**4/12 + z**3/6 + z**2 + 5. Is n(f) a multiple of 13? True Suppose m - 31*m = -9*m - 186585. Is m a multiple of 3? False Let c(v) = 102*v**2 - 35*v - 370. Is c(-10) a multiple of 146? False Suppose 0 = -6*d - 425 - 43. Is (-2554)/(-10) + d/195 a multiple of 9? False Is 35 a factor of 15 - (-9 + (-2241 - -18))? False Let z(g) be the third derivative of g**5/60 - g**4/8 + 4*g**3/3 + g**2 + 12*g. Does 36 divide z(-13)? True Suppose -3*p - 41 + 23 = 0, -3*n + 51372 = -4*p. Does 44 divide n? True Suppose -26*i + 111580 = 3*a - 30*i, -3*i + 15 = 0. Does 31 divide a? True Suppose 0 = 18*k - 15*k. Suppose 14*m - 12*m - 260 = k. Is 12 a factor of -2 - m/4*4/(-5)? True Suppose -93*k + 2*s - 28338 = -95*k, 6 = -s. Is k a multiple of 25? True Let t(n) = -n**2 - 4*n - 3. Let m(p) = -2*p - 23. Let c be m(-10). Let b be t(c). Let w(a) = -a**2 + 36. Is w(b) a multiple of 8? False Let l = -965 - -7880. Does 79 divide l? False Does 6 divide -2 - (67350/(-25) + 16/(-2))? True Suppose -11 = -4*c - r, 4*c - 2*r = 2*c - 2. Suppose -5*o - c*y + 2336 = 0, -3*o + 1414 = -6*y + y. Is o a multiple of 10? False Suppose -4*u = 3*x + 2446, x = 4*u + 737 + 1717. Let f = -385 - u. Does 16 divide f/(-95)*80/(-3)? True Let g be 1/(1/(6 + -4)) - -4. Let h be 7/(84/32)*g. Suppose 72 = -13*m + h*m. Is m a multiple of 4? True Let i(x) = -396*x - 3582. Is i(-19) a multiple of 162? False Let p be ((-20)/80)/((-2)/8). Let n be (0 - (-4 - 9/(-3))) + p. Is 4 a factor of (0 + -4 + 102/n)/1? False Let d be ((-165)/20 - 2 - 2)*-4. Suppose -m = -a - d, m - 2*m = -4*a - 61. Is 15 a factor of m? True Suppose -4*p - 7 + 3 = 0, -5*p = 2*u - 2827. Let b = 4975 - 2827. Suppose -b = -11*d + u. Is 42 a factor of d? False Suppose -7*p + 42 = -p. Let f(z) = 65*z - 5. Does 15 divide f(p)? True Does 6 divide ((-75)/(-45))/((-3535)/(-3528) - 1)? True Let h = -9305 + 14242. Does 15 divide h? False Suppose -178*c + 167748 + 2870253 = -109*c. Is c a multiple of 10? False Suppose -4*v = -5*v + 3*v. Suppose -k - 3*j + 1409 = -6*j, -2*k + 3*j + 2809 = v. Is k a multiple of 28? True Let u be 81/4*1*(-8 + 4). Let o be (u/(-15))/((-27)/15 - -2). Suppose a - 4*n = -n + o, 0 = 5*n. Does 5 divide a? False Suppose -2*j + m = 2*m - 1509, 5*m - 15 = 0. Suppose -1855 = -5*p + 3*s, -2*p - 2*s - 27 = -j. Does 46 divide p? True Suppose -4 = -x - q, -5*x + 0 - 4 = -q. Let o be (x + 1/(-1))/(2/12). Let u(y) = -10*y - 12. Does 8 divide u(o)? True Let t = 559 + -519. Suppose t*u = 25*u + 2460. Is 3 a factor of u? False Suppose -4*k = -7*k + 27. Suppose 6*z + 9 = k*z. Suppose z*f - 27 = 12*s - 13*s, -5*s = -f - 119. Is 8 a factor of s? True Suppose 0 = 4*k - 5*p - 16, 2*k + 0*k - 2*p - 10 = 0. Suppose 12 = 11*c - k*c. Suppose 35 = c*s - s. Is 2 a factor of s? False Let u = -9 + 18. Let c(v) = 2*v**2 - 38*v - 9. Let n(o) = -6*o**2 + 116*o + 26. Let b(g) = -16*c(g) - 5*n(g). Is 13 a factor of b(u)? True Let v(r) = -8*r**3 + 42*r**2 + 22*r + 361. Is 113 a factor of v(-12)? False Suppose -8*n - 18 = -90. Suppose n*t - 432 = t. Is t a multiple of 6? True Let r = -96 - -101. Suppose 0 = 5*w, w = -r*h + 418 - 58. Does 18 divide h? True Let v = 14237 - -7915. Does 71 divide v? True Does 20 divide -14133*2/(-18) + 6/9? False Let z(q) = -8*q**2 + 5*q + 6. Let p be z(-7). Let f = -8 + p. Let d = -295 - f. Does 24 divide d? False Suppose -14*c + 53 = -17. Suppose 0 = 4*h - c*t - 834, -2*h + 7*t = 6*t - 420. Does 26 divide h? False Let n be (1735/(-3))/(4/(-12)). Suppose 7*d = n + 1387. Is 43 a factor of d? False Let y(d) = 143*d**2 + 48*d - 119. Is y(8) a multiple of 7? False Let r be ((-2)/3)/(2/6). Let l = -3313 - -3295. Is 21 a factor of 6/r - -6 - l? True Let l(w) = 3*w**2 + 3*w + 18. Let m be l(0). Is 21 a factor of 203491/531 - 4/m? False Suppose 0 = 10*c - 5*c. Suppose -d + 11 = -c*h - 2*h, 2*d - 5*h - 20 = 0. Suppose -d*v = -2410 + 805. Is 41 a factor of v? False Let v be (-2993)/(-949) + (-2)/13. Suppose 0 = -4*d + 3*j + 20 + 3200, v*j - 4052 = -5*d. Does 8 divide d? True Let i(w) = 36*w**2 - 679*w + 13. Does 15 divide i(32)? False Let a(h) = -1696*h + 2169. Is 11 a factor of a(-12)? False Suppose 10*g = 12*g. Suppose -414 = -n + 7*f - 10*f, g = 2*n + 4*f - 820. Is n a multiple of 6? True Let p be (-36)/(-180) - 21/5. Does 6 divide (116/(-16) + -1)*p? False Suppose 32*g - 14387 = 38253. Does 9 divide g? False Does 26 divide (-7)/((-14)/5868) - 9/(-3)? False Suppose -3*z = -2*j + 9, 2*j - 2*z - 3 = -z. Suppose j = -o - 7*o + 2864. Let f = o + -232. Is 21 a factor of f? True Let z(a) = a**3 + 4*a + 11. Let g(s) = s**3 + s**2 + 5*s + 10. Let v(c) = 5*g(c) - 6*z(c). Let n be v(4). Is 2 a factor of -1 - n/((-16)/92)? True Let y(f) = -2*f**3 + 21*f + 709. Is y(0) a multiple of 51? False Suppose 0 = 2164*w - 2161*w - 3900. Is 10 a factor of w? True Suppose -41 = -3*m + 10. Suppose -h = 3*k - 776, 1
{ "pile_set_name": "DM Mathematics" }
? 159220 What is the next term in 1527149, 1527146, 1527143, 1527140, 1527137? 1527134 What is the next term in -12476, -50069, -112724, -200441, -313220, -451061, -613964? -801929 What is next in -749, -3168, -7407, -13634, -22017? -32724 What is next in 63226, 126431, 189566, 252595, 315482, 378191, 440686, 502931? 564890 What is the next term in 17034, 33979, 50956, 67977, 85054, 102199, 119424? 136741 What is next in -7306, -28540, -63922, -113452? -177130 What comes next: -273, -1167, -2627, -4653, -7245, -10403? -14127 What is the next term in -2109, -6346, -13385, -23208, -35797, -51134? -69201 What is the next term in 24162983, 48325966, 72488949? 96651932 What is the next term in 47557094, 47557087, 47557078, 47557067, 47557054, 47557039, 47557022? 47557003 What is next in 9655, 11542, 13419, 15280, 17119, 18930, 20707? 22444 What is next in 303674279, 607348561, 911022843, 1214697125? 1518371407 What comes next: -999176, -1998373, -2997618, -3996935, -4996348, -5995881? -6995558 What is next in -185, -3578, -12755, -30608, -60029, -103910, -165143, -246620? -351233 What comes next: 6660, 26517, 59612, 105945, 165516, 238325? 324372 What is the next term in 16143001, 32285993, 48428985, 64571977? 80714969 What is the next term in 5400, 22189, 50170, 89343? 139708 What comes next: -207, -348, -363, -192, 225? 948 What is the next term in -1151, -5517, -12801, -23003, -36123? -52161 What is the next term in 3379345, 6758689, 10138033, 13517377? 16896721 What is the next term in 7179747, 7179750, 7179763, 7179792, 7179843, 7179922, 7180035, 7180188? 7180387 What comes next: -775309, -775162, -775015, -774868? -774721 What is next in -11964441, -11964459, -11964487, -11964525, -11964573, -11964631, -11964699? -11964777 What is the next term in -289974, -579985, -869996, -1160007, -1450018? -1740029 What is next in -2589, -9726, -20593, -34350, -50157? -67174 What is next in -1902731, -1902499, -1902267, -1902035, -1901803? -1901571 What is the next term in 3953, 7859, 11761, 15659, 19553? 23443 What is next in -627, -5574, -19005, -45162, -88287, -152622, -242409? -361890 What comes next: -2325, -2304, -2273, -2226, -2157, -2060? -1929 What is the next term in -91657, -91641, -91625, -91609, -91593? -91577 What comes next: -19307, -20136, -20965, -21794, -22623, -23452? -24281 What comes next: 106, 18, -172, -464, -858? -1354 What is next in -586, -324, 420, 1898, 4362, 8064, 13256, 20190? 29118 What is the next term in -6718, -6718, -6718, -6724, -6742? -6778 What is next in 101985, 203978, 305955, 407910, 509837? 611730 What comes next: -88003, -703454, -2373899, -5626834, -10989755, -18990158, -30155539? -45013394 What comes next: -10196, -29007, -60360, -104255, -160692, -229671, -311192? -405255 What is the next term in -16148, -64723, -145682, -259025, -404752, -582863? -793358 What is next in -1564, -2538, -4140, -6370, -9228? -12714 What is next in 28, -453, -970, -1529, -2136, -2797, -3518, -4305? -5164 What comes next: 15410, 15539, 15740, 16001, 16310? 16655 What is the next term in 98686, 389412, 873956, 1552318, 2424498, 3490496, 4750312? 6203946 What is the next term in -41591, -166465, -374637, -666113, -1040899, -1499001, -2040425? -2665177 What comes next: 61247, 60734, 60221, 59708, 59195, 58682? 58169 What comes next: 2362, 11898, 28608, 52498, 83574, 121842, 167308? 219978 What is next in 19158745, 19158728, 19158701, 19158664, 19158617? 19158560 What comes next: -4945, -6056, -7167, -8278, -9389? -10500 What comes next: 18111, 36214, 54283, 72324, 90343, 108346, 126339, 144328? 162319 What is the next term in 1969569, 1969545, 1969521, 1969497, 1969473? 1969449 What comes next: -4579, -12716, -26271, -45238, -69611? -99384 What is next in 1263855, 2527711, 3791567, 5055423, 6319279, 7583135? 8846991 What is next in -20757, -20876, -21093, -21456, -22013? -22812 What is next in 52326, 101826, 151340, 200874, 250434, 300026? 349656 What comes next: 2390548, 4781131, 7171714? 9562297 What comes next: 27562695, 27562679, 27562663? 27562647 What is next in 1032689, 4130819, 9294363, 16523315, 25817669? 37177419 What comes next: 3638957, 3638961, 3638969, 3638981, 3638997? 3639017 What is the next term in -1168876, -2337753, -3506626, -4675495, -5844360? -7013221 What comes next: -1980, -4260, -6502, -8706, -10872, -13000, -15090? -17142 What comes next: -177, -603, -1151, -1689, -2085, -2207? -1923 What comes next: -376244, -752487, -1128730, -1504973, -1881216, -2257459? -2633702 What is next in -274032, -273898, -273764? -273630 What is the next term in -536723, -1073451, -1610183, -2146919, -2683659? -3220403 What is next in -2071, -4214, -6421, -8698, -11051? -13486 What comes next: 3961, 8109, 12447, 16975? 21693 What is the next term in -1327911, -2655824, -3983737? -5311650 What comes next: 10, 27, 704, 2371, 5358, 9995, 16612? 25539 What comes next: 140593, 562413, 1265445, 2249689, 3515145? 5061813 What is next in -19074, -39141, -59208, -79275? -99342 What is the next term in -69, -119, -373, -975, -2069, -3799, -6309? -9743 What comes next: 7123, 7179, 7221, 7243, 7239? 7203 What is the next term in 430112, 860225, 1290338, 1720451, 2150564? 2580677 What is the next term in -10319, -22027, -33735, -45443? -57151 What is next in -41321, -84645, -127967, -171287, -214605? -257921 What is next in -8329, -14081, -17247, -17827, -15821? -11229 What comes next: -38217, -38446, -38831, -39372? -40069 What is the next term in 2089, 3362, 4629, 5890, 7145, 8394? 9637 What is next in -101245, -405242, -911923, -1621288, -2533337, -3648070? -4965487 What comes next: 302073, 302021, 301927, 301785, 301589? 301333 What is the next term in 4463, 8865, 13235, 17561, 21831? 26033 What is next in -566, -1524, -2882, -4640, -6798, -9356, -12314? -15672 What is the next term in 1137918, 1137947, 1138024, 1138173, 1138418, 1138783, 1139292? 1139969 What comes next: 39752045, 39752044, 39752043, 39752042? 39752041 What is the next term in 65155, 65433, 65711, 65989? 66267 What comes next: -286, -1164, -2044, -2932, -3834? -4756 What is the next term in -1580610, -3161218, -4741826, -6322434, -7903042? -9483650 What comes next: 175407, 350808, 526209, 701610? 877011 What is next in -12914, -12832, -12716, -12566, -12382, -12164? -11912 What comes next: 38204, 76396, 114578, 152750, 190912, 229064? 267206 What is next in -422, -18, 384, 784, 1182? 1578 What is the next term in 11684, 11578, 11430, 11240? 11008 What is next in 14702, -6023, -26744, -47461, -68174, -88883, -109588? -130289 What is the next term in -283, -449, -741, -1159? -1703 What is next in -411, -3868, -13105, -30954, -60247, -103816, -164493, -245110? -348499 What comes next: -149068123, -149068125, -149068127, -149068129, -149068131? -149068133 What is the next term in -1191508, -4766046, -10723610, -19064200, -29787816, -42894458, -58384126? -76256820 What is next in 6999012, 13998022, 20997032, 27996042, 34995052, 41994062? 48993072 What is the next term in 8398895, 16797799, 25196687, 33595553, 41994391, 50393195, 58791959, 67190677? 75589343 What comes next: 5253, 5585, 5939, 6327, 6761? 7253 What is the next term in 569, 109, -1195, -3781, -8087, -14551, -23611, -35705? -51271 What is next in -1733, -6135, -13229, -23015, -35493, -50663, -68525? -89079 What comes next: 11077, 24687, 38297, 51907, 65517? 79127 What comes next: -2059, -9158, -21331, -38572, -60875? -88234 What is the next term in -123229, -123699, -124229, -124849, -125589? -126479 What is next in -2572, -10180, -22632, -39742, -61324, -87192, -117160, -151042? -188652 What comes next: 25033, 25057, 25097, 25153? 25225 What is the next term in -2210, -9010, -20346, -36218, -56626? -81570 What is the next term in -7011018, -7010967, -7010912, -7010853, -7010790, -7010723, -7010652? -7010577 What is next in 12335, 25266, 38189, 51104, 64011? 76910 What is the next term in -524247, -524253, -524259? -524265 What is next in 107857, 215785, 323713, 431641? 539569 What is next in 12055, 24053, 36071, 48109? 60167 What is the next term in 7867813, 7867819, 7867825, 7867831? 7867837 What is next in 306657, 613354, 920047, 1226736? 1533421 What is the next term in -3140, -3059, -2956, -2831, -2684?
{ "pile_set_name": "DM Mathematics" }
. -100 Round 0.05881 to 2 decimal places. 0.06 What is -5.164 rounded to zero decimal places? -5 What is 204000 rounded to the nearest 100000? 200000 What is -0.000007761 rounded to seven decimal places? -0.0000078 Round -0.000043165 to 6 dps. -0.000043 What is 50603 rounded to the nearest 10000? 50000 Round -458640000 to the nearest 1000000. -459000000 What is -221.26 rounded to the nearest 10? -220 Round 920040 to the nearest ten thousand. 920000 Round -0.0103 to 3 decimal places. -0.01 What is 214000 rounded to the nearest ten thousand? 210000 Round -2897 to the nearest one hundred. -2900 What is -0.000545 rounded to 5 dps? -0.00055 What is -0.00022005 rounded to six decimal places? -0.00022 What is 823000 rounded to the nearest ten thousand? 820000 Round 43.69 to 0 dps. 44 Round 4813000 to the nearest one million. 5000000 What is 11.04 rounded to 0 decimal places? 11 Round -20.7101 to 1 decimal place. -20.7 Round 18.272 to 1 dp. 18.3 What is 15312 rounded to the nearest one hundred? 15300 What is 341.297 rounded to the nearest integer? 341 What is 0.02338 rounded to three dps? 0.023 Round -1372000 to the nearest one million. -1000000 Round 17400 to the nearest 10000. 20000 What is -1399000 rounded to the nearest 100000? -1400000 Round 2910000 to the nearest one hundred thousand. 2900000 Round 0.00898 to 3 dps. 0.009 Round -0.004455 to three dps. -0.004 Round 1.0958 to 2 decimal places. 1.1 Round 13460 to the nearest one hundred. 13500 What is 0.7379 rounded to one dp? 0.7 Round 20050000 to the nearest 1000000. 20000000 Round 13.493 to 1 decimal place. 13.5 What is -4901900 rounded to the nearest one million? -5000000 What is 0.0010892 rounded to four decimal places? 0.0011 What is 72620 rounded to the nearest 10000? 70000 What is 0.00015665 rounded to 6 dps? 0.000157 Round 0.555 to one decimal place. 0.6 What is -144 rounded to the nearest ten? -140 Round -20800 to the nearest one thousand. -21000 Round 0.0022459 to three decimal places. 0.002 What is -0.000051154 rounded to 6 decimal places? -0.000051 What is 0.0000316 rounded to 5 dps? 0.00003 What is 0.00012351 rounded to four decimal places? 0.0001 What is -17660200 rounded to the nearest one hundred thousand? -17700000 Round 1.452 to two dps. 1.45 Round 0.00000317 to seven decimal places. 0.0000032 What is 0.00061 rounded to 4 decimal places? 0.0006 What is -0.00003219 rounded to five decimal places? -0.00003 What is -0.10839 rounded to 2 dps? -0.11 Round -0.000001606 to 6 decimal places. -0.000002 What is -2980.59 rounded to the nearest one hundred? -3000 Round 0.000003274 to 6 dps. 0.000003 What is -25100 rounded to the nearest 10000? -30000 What is 400.056 rounded to the nearest 10? 400 Round -0.01344 to 3 dps. -0.013 What is 0.018334 rounded to three decimal places? 0.018 Round 2093000 to the nearest 100000. 2100000 Round 0.14746 to three decimal places. 0.147 Round 0.00000222 to seven dps. 0.0000022 What is -3819400 rounded to the nearest 100000? -3800000 What is 34668000 rounded to the nearest 1000000? 35000000 What is -0.000001012 rounded to 6 dps? -0.000001 Round -549.9 to the nearest 10. -550 Round -0.00000025994 to seven decimal places. -0.0000003 Round 4442440 to the nearest ten thousand. 4440000 What is 2660400 rounded to the nearest one million? 3000000 Round -573200 to the nearest ten thousand. -570000 What is -0.0061406 rounded to 3 dps? -0.006 Round 0.000014 to 5 decimal places. 0.00001 What is 0.0000003175 rounded to seven dps? 0.0000003 What is -0.41733 rounded to 1 dp? -0.4 What is -8100000 rounded to the nearest 100000? -8100000 Round -1922000 to the nearest one hundred thousand. -1900000 Round -16.823 to the nearest ten. -20 What is 0.0000484 rounded to five decimal places? 0.00005 What is 371000 rounded to the nearest 10000? 370000 Round 0.000013507 to seven decimal places. 0.0000135 What is -0.000005718 rounded to 7 decimal places? -0.0000057 What is 4165800 rounded to the nearest 1000000? 4000000 Round -352.1 to the nearest 10. -350 Round -379910 to the nearest 10000. -380000 What is 6.6738 rounded to 2 decimal places? 6.67 What is -28600 rounded to the nearest 100000? 0 What is 51.704 rounded to 0 decimal places? 52 What is -5.7 rounded to the nearest ten? -10 Round -5.57 to 1 decimal place. -5.6 What is 0.21842 rounded to 2 decimal places? 0.22 What is 17401.2 rounded to the nearest one hundred? 17400 Round 6790000 to the nearest 100000. 6800000 Round -4.7522 to zero decimal places. -5 Round -422000 to the nearest one hundred thousand. -400000 Round -0.001376 to 4 dps. -0.0014 Round 0.000124704 to 6 decimal places. 0.000125 What is 6840 rounded to the nearest one thousand? 7000 Round -132880000 to the nearest one million. -133000000 What is 0.00001077 rounded to six decimal places? 0.000011 What is 113 rounded to the nearest 1000? 0 Round -0.00000427 to 6 dps. -0.000004 What is -0.09013 rounded to 3 dps? -0.09 Round -0.00001294 to 6 dps. -0.000013 What is 22260000 rounded to the nearest 100000? 22300000 What is -1366300 rounded to the nearest one hundred thousand? -1400000 Round -105.4 to the nearest 10. -110 Round 0.000201 to five dps. 0.0002 Round 0.035309 to three dps. 0.035 Round -0.0643 to three decimal places. -0.064 Round -0.0000012264 to seven dps. -0.0000012 What is -2.517 rounded to the nearest integer? -3 Round -0.00010451 to six dps. -0.000105 Round 0.095643 to two dps. 0.1 Round -533.51 to the nearest one hundred. -500 Round 0.03693 to three dps. 0.037 What is -0.0015414 rounded to four dps? -0.0015 What is -843.39 rounded to the nearest one hundred? -800 What is -0.853 rounded to the nearest integer? -1 Round -118660 to the nearest ten thousand. -120000 What is 15.818 rounded to 0 dps? 16 Round 0.006216 to three decimal places. 0.006 What is 0.0019551 rounded to 4 decimal places? 0.002 Round -0.55099 to one dp. -0.6 Round -2163000 to the nearest 100000. -2200000 Round 68663 to the nearest one hundred. 68700 Round -2235700 to the nearest 10000. -2240000 What is -4129.3 rounded to the nearest 10? -4130 What is 46954 rounded to the nearest ten thousand? 50000 What is 0.2651 rounded to 3 decimal places? 0.265 Round -16574.5 to the nearest 100. -16600 What is 17548 rounded to the nearest ten thousand? 20000 What is -45813 rounded to the nearest ten thousand? -50000 What is 0.000028246 rounded to 5 dps? 0.00003 Round 0.006406 to 4 dps. 0.0064 What is 0.0011895 rounded to four dps? 0.0012 Round -0.00004198 to six dps. -0.000042 Round -0.00000945 to 7 decimal places. -0.0000095 What is -190860 rounded to the nearest ten thousand? -190000 What is -2355000 rounded to the nearest 100000? -2400000 Round 0.00060087 to six decimal places. 0.000601 What is -1811 rounded to the nearest 100? -1800 What is 19492000 rounded to the nearest one hundred thousand? 19500000 What is 123600 rounded to the nearest ten thousand? 120000 What is 0.063083 rounded to 2 decimal places? 0.06 What is 556500 rounded to the nearest ten thousand? 560000 What is -20825 rounded to the nearest one thousand? -21000 What is -33536 rounded to the nearest one hundred? -33500 Round -2874 to the nearest 10. -2870 What is -0.00007438 rounded to 6 decimal places? -0.000074 Round -0.0013538 to five dps. -0.00135 What is 0.0006641 rounded to four decimal places? 0.0007 What is 0.00000093 rounded to six decimal places? 0.000001 Round 353800 to the nearest 10000. 350000 What is -0.059219 rounded to two dps? -0.06 Round 23.98 to the nearest ten. 20 What is -7126.6 rounded to the nearest 100? -7100 What is -0.37521 rounded to three dps? -0.375 What is 179780 rounded to the nearest 10000? 180000 Round -0.000038437 to 6 dps. -0.000038 Round 0.01193 to 4 decimal places. 0.0119 Round 9151800 to the nearest one hundred thousand. 9200000 What is -117313 rounded to the nearest one thousand? -117000 Round -2307000 to the nearest 100000. -2300000 Round -22150 to the nearest 1000. -22000 What is -2.078 rounded to one dp? -2.1 What is -14.55 rounded to the nearest integer? -15 Round 0.00015313 to 6 decimal places. 0.000153 Round -312950 to the nearest one hundred thousand. -300000 Round -271000 to the nearest 100000. -300000 What is -437.4 rounded to the nearest 100? -400 Round 0.58594 to 3 decimal places
{ "pile_set_name": "DM Mathematics" }
= -0.16723 + 2.16723. What is the third smallest value in w, -1/21, 27, 6/5? w Let o be 2/12*20*93/(-62). Let g be 4/(-6)*(-18)/(-8). Let l = -0.5 + 0.3. What is the biggest value in 0, g, o, l? 0 Suppose -4*i = 3*t - 2*i + 114, 3*i = 3*t + 99. Which is the biggest value? (a) t (b) 1/2 (c) 3 (d) -2/9 c Let s be (-10)/15*1*-3. Let w = 602 - 616. Let m(b) = b**2 + 15*b + 14. Let p be m(w). What is the fourth smallest value in -5, p, s, -1/3? s Suppose 0 = 4*b - 5*i + 21, -3*i = -2*b + 4*b + 27. Let l = -22 + 88. Let g be (b/(-4))/(l/88). What is the biggest value in 0, g, 4/5, 5? 5 Let n = 7.4 - 9.4. Let m = 0.081 - 0.301. Let t = m + -0.58. Which is the second smallest value? (a) 1 (b) n (c) t (d) 4 c Let t = -1.5158 + 1.4038. What is the fourth biggest value in t, 7/3, -1, 2, -2/19? t Let h be ((-5)/2)/(-8 + (-153)/(-18)). Let i be 1/h + (-422)/(-10). Let r be (-9)/i*(-16)/(-24). Which is the biggest value? (a) 3 (b) r (c) -0.3 a Let l = 0.1 - -0.4. Let v(i) = -i**2 - 12*i + 15. Let n be v(-15). Let o be 4/(-5) + (-44)/n. Which is the biggest value? (a) 1 (b) l (c) -0.4 (d) o a Let b = 166.6 + -185. Let g = 22.4 + b. What is the second smallest value in -0.1, -13, g, 1? -0.1 Suppose 0 = 4*g - 4*x - 12, 30 = 2*g - 4*x + 26. Which is the second biggest value? (a) -2/5 (b) -0.3 (c) g (d) -8 (e) -3 b Let w = 0.06901 - -2.93099. Let t = -9 + 8.7. Let v = t - 0. Which is the smallest value? (a) -31 (b) w (c) v a Let d = 189 + -189.406. Let i = -0.094 + d. Let w = 13.4 + -9.4. What is the third biggest value in w, 0.4, -3, i? i Let l = -112.62 - -111. Let z = l - 2.38. Let m = 1 - -0.8. What is the smallest value in z, 0.1, m? z Let o = -0.00716 + 5.00716. Which is the third biggest value? (a) o (b) -1/19 (c) -5 c Let x be 8/(-16) + 22/4. Let z be (-3)/(-5) - x/(-25). Let v be (5/(-3) - -1)/(20/(-90)). Which is the third biggest value? (a) z (b) -4 (c) v b Let m = 18 + -14. Suppose -12 = -4*p, -18 = 355*l - 359*l - 2*p. Which is the third smallest value? (a) m (b) -0.2 (c) l (d) 2/11 c Let z(j) = 70*j - 38. Let v be z(-4). Let l be (1*1/15)/((-53)/v). What is the third smallest value in l, -3, -0.35, 0? 0 Let o = 2 + 10. Let w = 12 - o. Suppose w*r + 4 = -4*r. What is the second biggest value in 0.01, r, 1/2, 0.2? 0.2 Let x = -7853 - -157061/20. Which is the second smallest value? (a) -0.1 (b) 1 (c) x c Let v = 2.6272 - -0.3728. Which is the second smallest value? (a) v (b) -0.1 (c) -9 (d) -24 c Let l be 3 + -4 - 2 - 0. Let r = -89 - -66. Let y = -21 - r. Which is the second biggest value? (a) l (b) 3 (c) 5 (d) y b Let n = -24753 - -24755. Which is the third smallest value? (a) -3 (b) 394 (c) -1 (d) n d Let i = -36937 - -37049. Which is the third biggest value? (a) 0.2 (b) 2/5 (c) i (d) 5 (e) -0.07 b Let u = 26217/5 - 5244. Which is the fourth smallest value? (a) -17 (b) 0 (c) u (d) -5 b Suppose -5*v + 5*q = -30, 3*v - 2*q + 6 = -5*q. Let n be v - (-22)/(-12) - 57/18. Which is the second biggest value? (a) n (b) 1 (c) -4 (d) 0.8 d Let f be 234/2223 - (2 + 106/(-76)). Let s = -117 - -117.3. What is the third smallest value in s, 2, -0.4, f? s Let r be (-1)/2*3/(-6). Let z = 1859 - 2653. Let s = -794 - z. What is the biggest value in r, 3, s? 3 Let r = -0.7527 - -0.5027. Which is the fourth biggest value? (a) 3 (b) -5 (c) -0.08 (d) r b Let c = 190 + -130. Let i = -59.7 + c. What is the second biggest value in -0.5, i, -1/13? -1/13 Let c = -27151 + 27151.1. What is the third smallest value in 0.12, c, 2/13? 2/13 Let s = -8760/56771 + 2/4367. What is the fifth biggest value in s, -1, -0.3, -4.6, -3? -4.6 Let g = 35 + -40. Let d = 4.2289 + -0.2289. What is the second smallest value in -2, g, 0.4, d? -2 Let s be (-3)/(-2)*-3*(-1)/(-6). Which is the fifth biggest value? (a) -19 (b) s (c) -0.1 (d) -4 (e) 0.1 a Let a(p) = p**2 - 44*p + 421. Let b be a(14). What is the biggest value in b, 2/3, 7? 7 Let d be 6*495/5940*((-2)/6 + -1). Let u = 20 - 19. What is the second biggest value in d, 0.9, u? 0.9 Let y = 73488/5 + -14698. What is the second smallest value in -2, -0.5, -0.038, y? -0.5 Let x(m) = -m**2 + 38*m - 72. Let l be x(2). Let i = 188 - 186. Which is the biggest value? (a) 5/3 (b) l (c) -2/51 (d) i d Let h = 125 + -126. Let n = 47 - 47.74. Let i = n + 0.82. Which is the fourth smallest value? (a) -0.5 (b) h (c) i (d) 1/4 d Let g = -6260/2223 + -40/117. Let n be (-2)/(-2) - (-385)/152. Let w = n + g. What is the smallest value in 4, 0.4, w? w Let x be 6/(-75)*195/52. What is the second smallest value in -0.4, x, 4, 2/35, 0.5? x Let v = -15.13 + 15.33. Which is the third smallest value? (a) -0.4 (b) -30 (c) v c Let l = -13811 - -13811. Which is the fourth smallest value? (a) l (b) -2/19 (c) -0.3 (d) -12 (e) 0.4 a Let l = -0.08397 + 3.08397. Which is the third biggest value? (a) -1/8 (b) 101/5 (c) l a Let s = 3347 + -3343. Let g = 2 + -2. Which is the second biggest value? (a) -3/4 (b) -1 (c) g (d) s c Let p = 1786 + -1613.8. Let n = -172 + p. Let k = -8 + 4. Which is the smallest value? (a) k (b) n (c) -1 a Let y(s) = 3*s**2 + s. Let l be y(-2). Let a be 4/l - (316/(-5))/2. Suppose -4*b - 16 = -a. What is the third smallest value in -14, b, 3/7? b Let u = 3 + 10. Let q(n) = n - 5. Let m be q(7). Let g(k) = 2*k**2 - 4. Let t be g(m). Which is the second biggest value? (a) t (b) u (c) -2/17 a Suppose 0*k - 5*k = 0. Let p be 8/(-24) - k/(-2). Let d = -3.98 - 0.02. Which is the third biggest value? (a) p (b) 1/5 (c) d c Let a = 6392 - 6394. Let d = -22 - -26. What is the third smallest value in -1.9, a, 0, d? 0 Let g = 19 + -18.9724. Let u = g - -0.0724. Which is the third smallest value? (a) 0 (b) u (c) -2/11 b Let a(z) = -9*z + 23. Let l be a(5). Let x be 33/l + (-97)/10. Let y = -11 - x. What is the third biggest value in -4, -3/5, -2/7, y? -3/5 Let u = 0.48 + -0.321. Let q = u - -3.841. What is the third biggest value in 0.1, q, 0.4, 0.2? 0.2 Let m = 88.81 - 92.81. Which is the second smallest value? (a) m (b) -36 (c) -2/7 (d) 3 (e) -0.4 a Let m = -1050 + 1049.8. Let b = -3 + 3.03. Let u = 7.97 + b. What is the biggest value in u, 1, m? u Let n = 0.4917 - 5.4917. Which is the second smallest value? (a) -103 (b) n (c) -4 b Let p = 147 - 77. Suppose 2*j + 0*u + 45 = -u, -3*j - p = 4*u. Let l be (33/j)/((-3)/14). Which is the biggest value? (a) l (b) 3 (c) -2/7 a Suppose o = -9 + 15. Let z be (-12 - -4)*3/o. Let y = -37 + 32. Which is the second biggest value? (a) -5/6 (b) 2/11 (c) z (d) y a Let k = -4.1 - 0.9. Let x = 83.243 - 82.243. What is the second biggest value in k, 2, x, 5/6? x Let o(a) = -10*a**2 + 74*a + 86. Let d(l) = -l**2 + 1. Let j(b) = 12*d(b) - o(b). Let w be j(-36). What is the second biggest value in -5/3, w, 2, 0.4? 0.4 Let k = 980.3 - 979.9. Which is the third biggest value? (a) 4 (b) k (c) -0.4 (d) -2/3 c Let v = -3036 - -3032. Which is the second biggest value? (a) -1/4 (b) 0.39 (c) -1/33 (d) v c Let g be 25/8*1/2*8 + 7. What is the fourth smallest value in g, -1/2, 1, 6, 0.5? 6 Suppose -t + 3*s = 10 + 1, 3*t = -4*s + 6. Let z = -22713 + 22661. Which is the third biggest value? (a) 3 (b) t (c) z c Let y = -2636 + 2636.3. Let q = 3.1 + -0.1. Let w = q - -1. What is the second smallest value in y, -1/2, 0.5, w? y Suppose 0 = -n - 5 + 1. Let j(w) = -w**3 - 2*w**2 + 5. Let x be j(-2). Let d be 2/n + x/70. What is the third smallest value in 2, d, 1, -4/7? 1 Let l = 192.239 - 0.239. Let j = 221 - l. What is the third biggest value in -3, j, -1/3? -3 Let s = 447.1 - 447.185. Which is the biggest value? (a) -11 (b) -1/2 (c) s c Let h = -8756/11349 - -2/873. What is the third biggest value in 2/11, 0.01, h, -1? h Let c = -288 - -286. Let h = 8 - 3. What is the fourth smallest value in c, h, 0, -3? h Let v = 2 + -1.4. Let g(p) = -p**3 + 9*p**2 - 4*p + 1. Let n be g(7). Suppose 75 - n = k. Which is the third smallest value? (a) -4/3 (b) k (c) -2 (d) v d Let u = 5.04 - 5. Let b = -3.16308 - -0.16308. What is the third smallest value in b, 1/8, u, 0.5? 1/8 Let n = 1007 - 1109. What is the fifth smallest value in -2, n, -2/11, 5/2, 4? 4 Let f = 2 - -1. Let n = -1425 - -892. Let g = n - -538. Which is the s
{ "pile_set_name": "DM Mathematics" }
11*s. Let a(j) = -29*j. Determine a(l(k)). 29*k**2 Let z(g) = 4*g**2. Let q be (-2)/(-1)*(-2)/(-2). Let n(r) = 7 - 2 - 3*r**q - 5. What is n(z(s))? -48*s**4 Let o(k) be the second derivative of k**3/3 + 6*k. Let s(m) = 3*m**2 + m - 1. Let z(w) = w**2 + w - 1. Let i(n) = s(n) - z(n). Calculate i(o(h)). 8*h**2 Let k(u) = 317*u**2. Let z(p) = 42*p. Calculate k(z(d)). 559188*d**2 Let w(m) = -5*m. Let l(j) = -180*j. Give w(l(r)). 900*r Let i(q) = -5*q**2 - 6. Let u(z) = 6*z**2 + 7. Let m(x) = 7*i(x) + 6*u(x). Let t(c) = -3*c**2. Determine t(m(h)). -3*h**4 Suppose -2*x + 2*p - 9 = -3*x, -4*x - 5*p + 27 = 0. Let m(y) be the second derivative of 0 + 2*y + 0*y**2 - 1/3*y**x. Let o(k) = -4*k**2. Determine o(m(j)). -16*j**2 Let m(f) = -f. Let t(c) = -6*c. Let d(n) = -11*m(n) + 2*t(n). Let l(h) = -h**2. Let j(z) = -3*z**2. Let q(g) = -4*j(g) + 10*l(g). Give q(d(w)). 2*w**2 Let o(f) = 14*f**2. Let n(d) = -5*d**2. Let r(y) = -8*n(y) - 3*o(y). Let x(a) = 13*a. What is r(x(w))? -338*w**2 Let h(a) = -a. Let v(x) be the second derivative of 8/3*x**3 + 0*x**2 + 3*x + 0. Calculate v(h(u)). -16*u Let l(o) = 2*o - 1. Let f(j) = 12*j**2. Determine f(l(k)). 48*k**2 - 48*k + 12 Let n(i) = i**2. Let v(c) = 33*c**2. Calculate n(v(m)). 1089*m**4 Suppose 0 = -0*m - 2*m + 12. Suppose -4*f - 4*r + 8 = -5*r, 6 = 3*f + r. Let w(i) = -f*i**2 + m*i - 6*i. Let b(p) = -2*p**2. Determine b(w(s)). -8*s**4 Let n(z) = -262*z**2 + 2. Let t(l) = 15*l**2. Give n(t(f)). -58950*f**4 + 2 Let r = 0 - -4. Let k(h) = -r*h + 3*h + 2*h - 2*h. Let c(b) = -5*b. Determine c(k(g)). 5*g Let t(w) = w + 3. Let q(h) = 4*h + 11. Let i(r) = 6*q(r) - 22*t(r). Let f(p) = 8*p + 11*p - 9*p. Calculate i(f(g)). 20*g Let s(b) = b. Let g(l) be the third derivative of l**6/360 - l**3/3 + 3*l**2. Let k(d) be the first derivative of g(d). Determine s(k(o)). o**2 Let x(v) be the first derivative of -19*v**3/3 - 42. Let m(k) = -2*k**2. Calculate x(m(l)). -76*l**4 Let m(z) = -17*z. Let x(d) = 77*d - 2. Give x(m(v)). -1309*v - 2 Let k(m) = m + 9. Let a be k(-7). Let c(d) = -2*d - 5*d**2 + a*d. Let q(r) = 2*r. What is c(q(n))? -20*n**2 Let p(m) = -2*m**2. Let l(s) = -113*s. Let y(a) = 75*a. Let z(i) = -5*l(i) - 7*y(i). Determine p(z(k)). -3200*k**2 Let r(n) = n. Let y(x) be the second derivative of 19*x**3/6 - 2*x. Determine r(y(j)). 19*j Let i(n) be the second derivative of 3*n - 1/6*n**3 + 0 + 0*n**2. Let v(j) = 3*j**2. Determine v(i(r)). 3*r**2 Let t(f) = -2*f + 20. Let o(y) = -6*y. Calculate t(o(g)). 12*g + 20 Let x(d) = -7*d. Let h(k) be the first derivative of -10*k**3/3 + 41. Determine h(x(w)). -490*w**2 Let b(o) = -3*o**2 - 35*o. Let g(s) = 2*s. Calculate b(g(z)). -12*z**2 - 70*z Let g(u) = u**3 - 10*u**2 + 1. Let p be g(10). Let z(d) = 2 - 1 - d - p. Let m(i) be the third derivative of i**5/15 - i**2. What is z(m(q))? -4*q**2 Let c(n) = n. Let q(z) = -86*z**2. Determine q(c(l)). -86*l**2 Suppose -3*j + j = 4*n - 14, 5*j = 3*n + 9. Let c(r) = -3 - r**n + 3. Let i(m) be the second derivative of -2*m**3/3 - 11*m. What is c(i(v))? -16*v**2 Let k(j) = -2*j + 2. Let q(x) = 4*x - 5. Let a(d) = 5*k(d) + 2*q(d). Let n(r) be the second derivative of -11*r**4/12 + 8*r - 5. Determine n(a(p)). -44*p**2 Let t(b) = 140*b. Let r(k) = -k. Determine r(t(z)). -140*z Let g be (-2)/(6/(-9))*-1. Let u be 4 - g/((-3)/1). Let m(n) = -u*n + 3*n + 4*n - 5*n. Let o(y) = 6*y**2. Determine m(o(w)). -6*w**2 Let l(i) = 2*i**2. Let o(d) = -10*d + 6*d - 1 + 9*d + 19*d. Give o(l(k)). 48*k**2 - 1 Let k(z) = 2*z. Let l(p) = 34*p**2 - p - 2*p + 13*p**2 - 30*p**2. Give l(k(q)). 68*q**2 - 6*q Let o(n) be the first derivative of -11*n**2/2 + 10. Let y(s) = s. Determine y(o(t)). -11*t Let t(k) = 25*k. Let w(q) = -41*q. Determine w(t(v)). -1025*v Let b(s) = 4 - 4 + 0 + s. Let x(f) be the second derivative of -5*f**3/6 - 7*f. Give b(x(i)). -5*i Let q(s) = s**2. Let b(j) = -7522*j + 1. Determine q(b(w)). 56580484*w**2 - 15044*w + 1 Let n(c) be the first derivative of -11*c**2 + 71. Let b(w) = -4*w. Determine b(n(d)). 88*d Let v(u) be the first derivative of -5*u**3/3 - 6. Let r(p) = -p**2. Calculate v(r(a)). -5*a**4 Let o(f) = f**2 - 18*f. Let t(a) = 4*a. What is t(o(s))? 4*s**2 - 72*s Let g(v) = 16*v**2. Let a(b) = 6*b**2 + 9*b. Calculate a(g(n)). 1536*n**4 + 144*n**2 Let h(b) be the first derivative of b**2 - 72. Let n(m) = 4*m. What is h(n(d))? 8*d Let f(d) = -4*d**2. Let h(u) = -9*u - 8. Calculate f(h(r)). -324*r**2 - 576*r - 256 Let p(r) = -17*r - 3. Let x(j) = 765*j + 136. Let h(y) = 136*p(y) + 3*x(y). Let o(i) = i**2. Determine h(o(c)). -17*c**2 Let a(m) = m - 198. Let l(t) = -6*t. Give l(a(n)). -6*n + 1188 Let u(v) = 7*v. Let j(r) = 4*r - 3. Let o be j(2). Let i(z) = -8*z. Let g(a) = o*u(a) + 4*i(a). Let x(n) = -2 + n + 0*n + 2. Calculate g(x(p)). 3*p Let b(u) = -1164*u. Let x(h) = 14*h. Determine x(b(c)). -16296*c Let c(r) = -19*r**2. Let l(i) = 27*i**2. Determine c(l(g)). -13851*g**4 Let x(r) = 121 - 241 + 120 - 2*r**2. Suppose -8*a + 5 = -3*a, -9 = 5*u + a. Let j(s) = -3*s. Let y(q) = -q**2 - 2*q. Let p(n) = u*j(n) + 3*y(n). Give p(x(k)). -12*k**4 Let t(l) = 33*l**2 + 1. Let c(g) = -33*g. Calculate t(c(s)). 35937*s**2 + 1 Let n(m) be the second derivative of -m**4/12 + 11*m. Let s(t) = -5*t**2. Give n(s(c)). -25*c**4 Let k(p) = p**2. Let x(j) = 8*j**2. Let r(s) = -k(s) - x(s). Let m(d) = 2*d. Give m(r(y)). -18*y**2 Let o(q) be the first derivative of q**2/2 + 23. Let j(x) = -3*x**2 + 5. Calculate o(j(z)). -3*z**2 + 5 Let y(r) = -6*r**2. Let g(w) = -25*w - 2. Calculate y(g(i)). -3750*i**2 - 600*i - 24 Let n(z) = 2*z**2. Let m(q) = -11*q**2 + 9*q**2 - 27*q**2. Give n(m(s)). 1682*s**4 Let r(z) = -5*z**2. Let q(d) = 3*d. Determine r(q(b)). -45*b**2 Suppose 4*w - 18 = w. Let z(q) = -4*q - 6 + w. Let l(x) = 5*x - 4*x - 3*x + 4*x. Calculate z(l(h)). -8*h Let v(a) = -28*a. Let b(z) = -5*z. What is v(b(f))? 140*f Let n = -5 + 5. Let k(g) = 0*g - g**2 + 4*g**2 + n*g. Let q(w) = w**2. What is k(q(x))? 3*x**4 Let u(w) = -w + 12. Let d(f) = f - 10. Let m(k) = -6*d(k) - 5*u(k). Let r(a) = -8*a. Calculate m(r(g)). 8*g Suppose 3*q - 3*s - 9 = 0, 0 = 2*s - 6 + 14. Let i = -1 - q. Let f(z) = -z - z + i*z. Let m(h) = -2*h. Calculate f(m(r)). 4*r Let f(o) = -3*o**2. Let z(t) = 58*t**2. Calculate z(f(d)). 522*d**4 Let w(p) be the first derivative of -4*p**3/3 - 1. Let q(j) be the second derivative of -j**4/12 - j. Calculate q(w(d)). -16*d**4 Let j(l) = 7*l**2. Let t(v) = -2*v + 43. Calculate t(j(a)). -14*a**2 + 43 Let a(r) = -r + 3. Let l(w) = -2*w. Determine l(a(c)). 2*c - 6 Let v(h) = 2*h**2. Let z(u) be the second derivative of 2*u**3 + u. Let c(j) = -2*j. Let b = 24 - 13. Let t(m) = b*c(m) + 2*z(m). What is v(t(y))? 8*y**2 Let f(t) = -t. Let c(s) = 3047*s. Calculate c(f(z)). -3047*z Let s(o) = 5*o**2 + 6*o - 6. Let c(r) = -10*r**2 - 13*r + 13. Let f be 12*(-1 - 6/(-4)). Let m(w) = f*c(w) + 13*s(w). Let v(d) = d**2. What is v(m(q))? 25*q**4 Let i(b) = 2*b + b + 0*b - 2*b. Let m(a) = -15 - 4 + 2 - 8*a. Let s(q) = q + 2. Let t(v) = -6*m(v) - 51*s(v). What is t(i(f))? -3*f Let i(o) = -12*o**2. Let b(q) = -7*q - 6. Let j(h) = -20*h - 17. Let s(n) = 17*b(n) - 6*j(n). What is s(i(u))? -12*u**2 Let d(k) = -5*k + 3. Let w(j) = 2*j + 3. Let b(m) = -m - 2. Let p(a) = 5*b(a) + 3*w(a). Let o(f) = d(f) + 3*p(f). Let z(i) = -i**2. Give o(z(y)). 2*y**2 Let j(f) = -f. Let b(z) = -5343*z**2. Determine b(j(x)). -5343*x**2 Let i(w) be the third derivative of w**6/360 - w**4/8 + 3*w**2. Let c(q) be the second derivative of i(q). Let v(r) = -5*r**2. Calculate c(v(b)). -10*b**2 Let t(u) = -u. Let h(z) be the first derivative of -z**4/24 + z**2 + 3. Let q(m) be the second derivative of h(m). What is t(q(g))? g Let w(x) = -1. Let a(z) = -z - 4. Let k(h) = a(h) - 4*w(h). Let s(q) = -4*q. Determine k(s(i)). 4*i Let x(z) = -198 + 198 - 4*z**2 + 5*z**2. Let n(w) = 63*w. Calculate n(x(c)). 63*c**2 Let y = -13 - -18. Let q(o) = 2*o + o - y*o. Let g(v) be the third derivative of v**5/15 + 2*v**2. Determine q(g(d)). -8*d**2 Let g(i) be the third derivative of -i**6/720 - i**4/24 - i**2. Let f(z) be the second derivative of g(z). Let m(j) = 4*j**2. Determine m(f(d)). 4*d**2 Let l(o) be the second derivative of o**3/3 + 3*o**2/2 - 4*o. Let y(s) = s + 1. Let z(p) = l(p) - 3*y(p). Let h(b)
{ "pile_set_name": "DM Mathematics" }
e prob of sequence go. 1/14 Calculate prob of sequence dff when three letters picked without replacement from dddfddddddff. 9/220 Calculate prob of sequence rvrr when four letters picked without replacement from {r: 4, v: 10}. 10/1001 What is prob of sequence nz when two letters picked without replacement from nnznnnnzzz? 4/15 Calculate prob of sequence rjq when three letters picked without replacement from {r: 3, q: 1, f: 4, j: 11}. 11/1938 Two letters picked without replacement from fxefefxfxf. Give prob of sequence fx. 1/6 Two letters picked without replacement from jjjjjjjmjmjjj. What is prob of sequence jm? 11/78 What is prob of sequence gw when two letters picked without replacement from nugugwg? 1/14 Four letters picked without replacement from {t: 4, z: 8, i: 5}. Give prob of sequence izit. 4/357 What is prob of sequence lw when two letters picked without replacement from ujwjlw? 1/15 Four letters picked without replacement from mfgemeeggeef. Give prob of sequence ggmf. 1/495 What is prob of sequence icc when three letters picked without replacement from iiciiciciiiciccicli? 77/969 Three letters picked without replacement from {f: 1, k: 4, y: 5, q: 5, z: 1}. Give prob of sequence qyf. 5/672 What is prob of sequence ffaa when four letters picked without replacement from {a: 2, f: 3}? 1/10 Two letters picked without replacement from hehatxaxehaahaeha. What is prob of sequence ee? 3/136 What is prob of sequence ap when two letters picked without replacement from {o: 1, z: 1, p: 5, n: 2, a: 6}? 1/7 Three letters picked without replacement from {h: 1, j: 1, y: 1, x: 1, e: 1}. What is prob of sequence jxy? 1/60 Two letters picked without replacement from {j: 1, f: 1, r: 13, x: 2}. What is prob of sequence fx? 1/136 Two letters picked without replacement from wbwmb. Give prob of sequence wb. 1/5 What is prob of sequence dcc when three letters picked without replacement from ccmmcmdcccccmc? 3/91 Calculate prob of sequence affb when four letters picked without replacement from {b: 6, f: 3, a: 8}. 3/595 What is prob of sequence wtoz when four letters picked without replacement from {d: 2, w: 4, h: 2, t: 8, z: 2, o: 1}? 2/2907 Three letters picked without replacement from {n: 1, z: 1, s: 1, h: 3, q: 1}. Give prob of sequence qsh. 1/70 What is prob of sequence udu when three letters picked without replacement from {k: 2, u: 10, d: 3}? 9/91 What is prob of sequence eeee when four letters picked without replacement from eeeeeeeee? 1 Four letters picked without replacement from oxctaccatttq. What is prob of sequence cqct? 1/495 Four letters picked without replacement from {r: 4, p: 4, m: 3, q: 2, n: 1}. Give prob of sequence nqqm. 1/4004 Three letters picked without replacement from {m: 9}. Give prob of sequence mmm. 1 Calculate prob of sequence dea when three letters picked without replacement from {e: 5, n: 2, a: 1, s: 10, d: 2}. 1/684 Two letters picked without replacement from xzczldcrcdcdzxd. What is prob of sequence cz? 2/35 Calculate prob of sequence mi when two letters picked without replacement from mciiiiiqmmcfci. 9/91 Four letters picked without replacement from usuffhhushjq. What is prob of sequence hqfj? 1/1980 Three letters picked without replacement from cmmcccccckkc. What is prob of sequence ckm? 4/165 Three letters picked without replacement from {x: 1, w: 1, t: 1}. Give prob of sequence xtw. 1/6 Two letters picked without replacement from {o: 6, j: 4, z: 3, i: 1}. Give prob of sequence zi. 3/182 Three letters picked without replacement from swksssswsssswwwsw. Give prob of sequence sws. 9/68 Four letters picked without replacement from xxmmxxmmxm. Give prob of sequence xmmx. 5/63 Two letters picked without replacement from {s: 2, a: 1, g: 3, v: 4, w: 2}. What is prob of sequence sa? 1/66 Calculate prob of sequence eeff when four letters picked without replacement from befeefbfenebeffe. 1/52 Two letters picked without replacement from {g: 8, w: 5}. What is prob of sequence gg? 14/39 Two letters picked without replacement from {p: 8, d: 7, r: 2, y: 1}. What is prob of sequence dy? 7/306 Four letters picked without replacement from kefekfeffze. Give prob of sequence efzf. 1/165 Calculate prob of sequence uun when three letters picked without replacement from {n: 14, u: 5}. 140/2907 Four letters picked without replacement from sywsk. Give prob of sequence kssw. 1/60 Two letters picked without replacement from {y: 5, n: 4, g: 1, c: 1}. What is prob of sequence gc? 1/110 Three letters picked without replacement from {a: 5, t: 4, l: 5}. What is prob of sequence alt? 25/546 What is prob of sequence zv when two letters picked without replacement from {f: 7, v: 2, z: 1}? 1/45 Calculate prob of sequence rmna when four letters picked without replacement from {n: 3, m: 2, a: 1, r: 3, c: 1}. 1/280 Four letters picked without replacement from jfyffcfffjfffc. Give prob of sequence cjfj. 3/2002 Four letters picked without replacement from xsxxxxxscx. What is prob of sequence xsxs? 1/60 Two letters picked without replacement from crcvccccnccgcvrrc. What is prob of sequence nr? 3/272 Two letters picked without replacement from gvffvfgggf. Give prob of sequence vv. 1/45 Two letters picked without replacement from mmttmtt. What is prob of sequence tm? 2/7 Two letters picked without replacement from {p: 5, c: 3, y: 1}. Give prob of sequence cp. 5/24 What is prob of sequence vf when two letters picked without replacement from zfffvzzzyffxzz? 5/182 Three letters picked without replacement from plpcfiilccitlf. Give prob of sequence ppt. 1/1092 Three letters picked without replacement from {g: 1, j: 3, l: 7, o: 3}. Give prob of sequence joj. 3/364 What is prob of sequence ddww when four letters picked without replacement from wwddwwfwfdfwffd? 1/91 What is prob of sequence zzzz when four letters picked without replacement from zzzzzzzzz? 1 What is prob of sequence ppnn when four letters picked without replacement from oneernggeppn? 1/990 Calculate prob of sequence nnm when three letters picked without replacement from {o: 2, n: 2, v: 8, m: 1}. 1/858 Four letters picked without replacement from fyffffysfffyffff. What is prob of sequence fysy? 3/1820 What is prob of sequence yc when two letters picked without replacement from {c: 2, q: 5, x: 1, y: 5, m: 3, l: 4}? 1/38 Calculate prob of sequence jqmg when four letters picked without replacement from {m: 1, t: 2, s: 2, g: 1, j: 1, q: 1}. 1/1680 Calculate prob of sequence oto when three letters picked without replacement from {o: 4, t: 16}. 8/285 What is prob of sequence yr when two letters picked without replacement from gmrly? 1/20 Four letters picked without replacement from {t: 2, q: 3, w: 9, u: 5}. What is prob of sequence uwwu? 5/323 What is prob of sequence fvv when three letters picked without replacement from fffhvfhlhvvflvvhfhf? 70/2907 What is prob of sequence bj when two letters picked without replacement from jbjb? 1/3 Calculate prob of sequence rsns when four letters picked without replacement from srsn. 1/12 Three letters picked without replacement from {g: 1, c: 4, e: 2, k: 2, q: 1}. What is prob of sequence ckq? 1/90 Two letters picked without replacement from {q: 3, e: 1, g: 2, b: 3, l: 1, p: 1}. Give prob of sequence gg. 1/55 What is prob of sequence kuk when three letters picked without replacement from uuukukukuukk? 7/66 What is prob of sequence mrrl when four letters picked without replacement from {m: 5, l: 2, r: 8}? 2/117 Calculate prob of sequence pd when two letters picked without replacement from {d: 7, p: 3}. 7/30 Calculate prob of sequence looo when four letters picked without replacement from loddookdrood. 1/198 What is prob of sequence ogo when three letters picked without replacement from gooooooooooooooooogo? 17/190 What is prob of sequence bbb when three letters picked without replacement from {b: 17, p: 3}? 34/57 Calculate prob of sequence tvv when three letters picked without replacement from {m: 1, t: 10, v: 8}. 280/2907 Three letters picked without replacement from {n: 1, o: 1, q: 2, i: 1, s: 2, m: 2}. Give prob of sequence qio. 1/252 What is prob of sequence yae when three letters picked without replacement from {e: 8, y: 6, a: 3}? 3/85 Four letters picked without replace
{ "pile_set_name": "DM Mathematics" }
prime factors of 10068. 2, 3, 839 What are the prime factors of 34449? 3, 11483 List the prime factors of 5073. 3, 19, 89 What are the prime factors of 1425? 3, 5, 19 List the prime factors of 32090. 2, 5, 3209 What are the prime factors of 3436? 2, 859 List the prime factors of 4940. 2, 5, 13, 19 List the prime factors of 3256. 2, 11, 37 What are the prime factors of 6350? 2, 5, 127 What are the prime factors of 41860? 2, 5, 7, 13, 23 What are the prime factors of 3246? 2, 3, 541 What are the prime factors of 9691? 11, 881 List the prime factors of 7083. 3, 787 What are the prime factors of 103088? 2, 17, 379 What are the prime factors of 531? 3, 59 List the prime factors of 814. 2, 11, 37 List the prime factors of 727. 727 What are the prime factors of 38473? 79, 487 List the prime factors of 308. 2, 7, 11 What are the prime factors of 546? 2, 3, 7, 13 List the prime factors of 27287. 13, 2099 List the prime factors of 281. 281 What are the prime factors of 8934? 2, 3, 1489 What are the prime factors of 57352? 2, 67, 107 What are the prime factors of 3413? 3413 What are the prime factors of 182697? 3, 60899 What are the prime factors of 2710? 2, 5, 271 List the prime factors of 3114. 2, 3, 173 What are the prime factors of 1386? 2, 3, 7, 11 What are the prime factors of 3287? 19, 173 List the prime factors of 8599. 8599 What are the prime factors of 1613? 1613 What are the prime factors of 32724? 2, 3, 101 List the prime factors of 3488. 2, 109 What are the prime factors of 1173? 3, 17, 23 What are the prime factors of 5294? 2, 2647 List the prime factors of 1329. 3, 443 What are the prime factors of 2936? 2, 367 What are the prime factors of 5717? 5717 List the prime factors of 101. 101 List the prime factors of 5456. 2, 11, 31 List the prime factors of 2164. 2, 541 What are the prime factors of 9404? 2, 2351 List the prime factors of 4146. 2, 3, 691 What are the prime factors of 158299? 311, 509 List the prime factors of 85. 5, 17 What are the prime factors of 3411? 3, 379 List the prime factors of 264. 2, 3, 11 List the prime factors of 24979. 24979 List the prime factors of 2553. 3, 23, 37 List the prime factors of 84117. 3, 11, 2549 List the prime factors of 989. 23, 43 What are the prime factors of 4467? 3, 1489 What are the prime factors of 56863? 101, 563 What are the prime factors of 38682? 2, 3, 7, 307 What are the prime factors of 139857? 3, 46619 What are the prime factors of 870? 2, 3, 5, 29 List the prime factors of 692. 2, 173 What are the prime factors of 5233? 5233 List the prime factors of 34653. 3, 11551 List the prime factors of 5496. 2, 3, 229 List the prime factors of 148151. 148151 List the prime factors of 3354. 2, 3, 13, 43 List the prime factors of 15226. 2, 23, 331 List the prime factors of 5166. 2, 3, 7, 41 List the prime factors of 978. 2, 3, 163 List the prime factors of 7543. 19, 397 List the prime factors of 616. 2, 7, 11 List the prime factors of 356. 2, 89 What are the prime factors of 104573? 7, 14939 What are the prime factors of 32168? 2, 4021 What are the prime factors of 2897? 2897 What are the prime factors of 449? 449 What are the prime factors of 1840? 2, 5, 23 What are the prime factors of 34478? 2, 17239 List the prime factors of 948. 2, 3, 79 What are the prime factors of 4744? 2, 593 List the prime factors of 18360. 2, 3, 5, 17 List the prime factors of 2288. 2, 11, 13 List the prime factors of 3234. 2, 3, 7, 11 List the prime factors of 7670. 2, 5, 13, 59 List the prime factors of 117380. 2, 5, 5869 List the prime factors of 4585. 5, 7, 131 What are the prime factors of 1528? 2, 191 What are the prime factors of 5921? 31, 191 List the prime factors of 423. 3, 47 List the prime factors of 10284. 2, 3, 857 List the prime factors of 15525. 3, 5, 23 What are the prime factors of 8113? 7, 19, 61 What are the prime factors of 969? 3, 17, 19 What are the prime factors of 501? 3, 167 List the prime factors of 736. 2, 23 List the prime factors of 2106. 2, 3, 13 What are the prime factors of 945? 3, 5, 7 List the prime factors of 161. 7, 23 What are the prime factors of 44157? 3, 41, 359 List the prime factors of 91165. 5, 18233 List the prime factors of 5666. 2, 2833 What are the prime factors of 129168? 2, 3, 13, 23 List the prime factors of 24. 2, 3 List the prime factors of 1843. 19, 97 What are the prime factors of 111149? 111149 List the prime factors of 96. 2, 3 List the prime factors of 164. 2, 41 List the prime factors of 13324. 2, 3331 List the prime factors of 24444. 2, 3, 7, 97 List the prime factors of 76494. 2, 3, 11, 19, 61 What are the prime factors of 3427? 23, 149 What are the prime factors of 97610? 2, 5, 43, 227 List the prime factors of 1164. 2, 3, 97 List the prime factors of 378. 2, 3, 7 List the prime factors of 11233. 47, 239 List the prime factors of 1085. 5, 7, 31 List the prime factors of 473. 11, 43 What are the prime factors of 1007? 19, 53 List the prime factors of 1807. 13, 139 What are the prime factors of 79064? 2, 9883 What are the prime factors of 648? 2, 3 List the prime factors of 76313. 17, 67 List the prime factors of 2342. 2, 1171 List the prime factors of 157716. 2, 3, 13, 337 What are the prime factors of 2283? 3, 761 What are the prime factors of 71463? 3, 7, 41, 83 What are the prime factors of 4436? 2, 1109 List the prime factors of 22662. 2, 3, 1259 What are the prime factors of 5247? 3, 11, 53 What are the prime factors of 859? 859 List the prime factors of 419. 419 What are the prime factors of 21418? 2, 10709 What are the prime factors of 1387? 19, 73 What are the prime factors of 174260? 2, 5, 8713 What are the prime factors of 5097? 3, 1699 List the prime factors of 5092. 2, 19, 67 What are the prime factors of 21731? 31, 701 List the prime factors of 44324. 2, 7, 1583 List the prime factors of 14885. 5, 13, 229 What are the prime factors of 6927? 3, 2309 What are the prime factors of 57020? 2, 5, 2851 List the prime factors of 7508. 2, 1877 List the prime factors of 59777. 23, 113 What are the prime factors of 11810? 2, 5, 1181 What are the prime factors of 3180? 2, 3, 5, 53 What are the prime factors of 6545? 5, 7, 11, 17 List the prime factors of 111893. 111893 List the prime factors of 1214. 2, 607 What are the prime factors of 91379? 23, 29, 137 What are the prime factors of 229? 229 List the prime factors of 1121. 19, 59 List the prime factors of 26578. 2, 97, 137 What are the prime factors of 9859? 9859 What are the prime factors of 9515? 5, 11, 173 What are the prime factors of 3065? 5, 613 List the prime factors of 226. 2, 113 What are the prime factors of 73217? 211, 347 What are the prime factors of 3274? 2, 1637 List the prime factors of 17969. 7, 17, 151 What are the prime factors of 4210? 2, 5, 421 List the prime factors of 9980. 2, 5, 499 What are the prime factors of 1022? 2, 7, 73 List the prime factors of 39148. 2, 9787 List the prime factors of 39. 3, 13 List the prime factors of 17893. 29, 617 What are the prime factors of 15340? 2, 5, 13, 59 What are the prime factors of 13699? 7, 19, 103 What are the prime factors of 2004? 2, 3, 167 List the prime factors of 44080. 2, 5, 19, 29 What are the prime factors of 46429? 29, 1601 List the prime factors of 5709. 3, 11, 173 List the prime factors of 139670. 2, 5, 13967 List the prime factors of 26065. 5, 13, 401 What are the prime factors of 52725? 3, 5, 19, 37 List the prime factors of 14934. 2, 3, 19, 131 What are the prime factors of 78156? 2, 3, 13, 167 List the prime factors of 1809. 3, 67 What are the prime factors of 25014? 2, 3, 11, 379 List the prime factors of 2180. 2, 5, 109 What are the prime factors of 1092? 2, 3, 7, 13 What are the prime factors of 642? 2, 3, 107 List the prime factors of 10107. 3, 1123 List the prime factors of 37568. 2, 587 List the prime factors of 15809. 15809 What are the prime factors of 7143? 3, 2381 What are the prime factors of 36472? 2, 47, 97 What are the prime factors of 391? 17, 23 List the prime factors of 88192. 2, 13, 53 What are the prime factors of 2387? 7, 11, 31 What are the prime factors of 1948? 2, 487 List the prime factors of 43944. 2, 3, 1831 List the prime factors of 12696. 2, 3, 23 List the prime factors of 65548. 2, 7, 2341 What
{ "pile_set_name": "DM Mathematics" }
e prime factors of v(-4)? 3, 17 Let p = -2 - -7. List the prime factors of 2/p - 43/(-5). 3 Let i = 8 - 11. Let s = 24 + i. List the prime factors of s. 3, 7 Let o(s) be the third derivative of -7*s**4/24 - s**3 - 8*s**2. List the prime factors of o(-5). 29 Let r(z) = -44*z**2 - 1. Let x be r(-1). Let b = -24 - x. Suppose -2*c - 5 = 2*h - b, 2*h - 2*c = 0. What are the prime factors of h? 2 Let n(j) = -j**3 + 6*j**2 + 8*j - 9. Let a be n(7). Let x(m) = -m**3 + 2*m + 3. List the prime factors of x(a). 7 Let p(g) = -g**2 + 3*g + 2. Let m be p(2). Suppose s + 6 = m*s. List the prime factors of s. 2 Let y(f) = -f**3 - 5*f**2 + 3*f - 5. Let j(u) = u - 6. Let q be j(0). What are the prime factors of y(q)? 13 Suppose 0 = -4*l - j - 29, -l + 37 = -3*l - 5*j. Let x(h) = -h**2 - 6*h + 5. Let s be x(l). Suppose -12 = p - s*p. List the prime factors of p. 3 Let q(y) be the second derivative of y**3/6 + 19*y**2/2 - 7*y. List the prime factors of q(-9). 2, 5 Suppose -18*m + 654 = -15*m. What are the prime factors of m? 2, 109 Let f = 88 + -80. List the prime factors of f. 2 Let z be ((-1)/(-2))/((-2)/(-4)). Let a be -2*z/(2 - 0). What are the prime factors of ((-6)/a)/(6/4)? 2 Let n(j) = -3*j**2 - 5*j - 8. Let l(s) = -s**2 - s - 1. Let r(o) = 4*l(o) - n(o). Let z be r(-3). Let t = 15 + z. List the prime factors of t. 7 Let w be -15 - -12 - (-19 + 0). Let b = 18 - w. What are the prime factors of b? 2 Let o(h) = h**3 - h**2 - h**2 - 4 + 2*h**2 + 3*h - 8*h**2. List the prime factors of o(8). 2, 5 Suppose 0 = -2*n - 0*n + 236. Suppose p + 44 = 2*f + 5*p, -4*f + n = -2*p. List the prime factors of f. 2, 7 What are the prime factors of (381/2)/(24/48)? 3, 127 Let z(j) = -2 - 2*j + 0 - 14*j. List the prime factors of z(-3). 2, 23 Suppose 6*f - 2*f = 4. Suppose 0 = -2*x - b + 20, -f = -x + 4*b - 0. List the prime factors of x. 3 Let d(y) = y**2 + 12*y + 14. List the prime factors of d(-14). 2, 3, 7 Let v = -72 + 206. What are the prime factors of v? 2, 67 Suppose -4*t = -32 + 4. Suppose 4*s - 2*s - 4*k + 8 = 0, -s + 3*k - t = 0. Suppose 4*b - 28 = 2*x, b = s*x - 1 + 8. List the prime factors of b. 7 Suppose -u - 31 = -2*u. List the prime factors of u. 31 What are the prime factors of (32/(-12))/4*(2 - 35)? 2, 11 Suppose -8 = -3*o + o. What are the prime factors of 34/o*(1 - -1)? 17 Suppose g - 6*g = -25. Let p be 291/15 - 2/g. Let k = -9 + p. List the prime factors of k. 2, 5 Let w be 6/8*-1*-8. Suppose -4*r = -r - w. Suppose -6*c + r*c + 28 = 0. What are the prime factors of c? 7 Let n = 13 + -4. List the prime factors of n. 3 Let k be (-4)/10 + (-69)/15. Let q = 19 + k. What are the prime factors of q? 2, 7 Let r(i) = 37*i**2 - i - 2. What are the prime factors of r(-1)? 2, 3 Suppose -f - 38 - 39 = -2*t, -t + 40 = -f. List the prime factors of t. 37 Let f(y) = -4*y**2 - 2*y - 1. Let z be f(-1). List the prime factors of (-51)/(-2) - z/2. 3 Suppose -4*j + 7*j - 5*w = 105, -34 = -j + 2*w. List the prime factors of j. 2, 5 Suppose -2*m - 4 = -324. What are the prime factors of (m/(-15))/((-2)/3)? 2 Let a = 7 - 2. Suppose 5*c - 15 = -a*q, -2*q + 9 = -3*c - 2. Let o = q - -7. What are the prime factors of o? 11 Let a(j) = -j + 7. Let s be a(4). Let u(n) = -n**2 + 8*n - 4. List the prime factors of u(s). 11 Let x = 0 - -1. Suppose -19 - x = 5*o. List the prime factors of (30/(-4))/(2/o). 3, 5 Let l(m) = m - 1. List the prime factors of l(6). 5 Suppose -31 = -4*o + 5*m, -4*o + 13 = -2*m + 3*m. Suppose -z - 30 = -o*z. Suppose u = -u + z. List the prime factors of u. 5 Suppose 5*z = -16 + 1. Let a(m) = 2*m**2 - 4*m + 2. List the prime factors of a(z). 2 Let t(z) = -2*z**3 + 1. Let d be t(-1). Suppose -d*j = -2 - 7. What are the prime factors of j? 3 Let r be (-4)/((-2)/(-2))*-1. Let c be 14*(r - 1 - 2). Suppose -4*y + c = -18. What are the prime factors of y? 2 Let g(v) be the second derivative of -v + 4/3*v**3 + 1/2*v**2 + 0 - 1/12*v**4. List the prime factors of g(7). 2 Suppose -5*w - 111 = 3*i - 757, -516 = -4*w - 2*i. List the prime factors of w. 2 Let w(m) = m**2 - 4*m + 12. What are the prime factors of w(0)? 2, 3 Suppose -3*t - m = 10 - 3, -3*t = -m + 17. Let f = -1 - t. Suppose -j - j + 21 = -3*o, -36 = -f*j + 3*o. List the prime factors of j. 3, 5 Let n(g) = -g**3 + 14*g**2 + 2*g - 23. Let x be n(14). Let r be -2*1*11/(-2). Let a = r - x. What are the prime factors of a? 2, 3 Let o = 12 + -17. Let n = o - -7. Let k(y) = y**3 - 3*y**2 + 4*y - 2. What are the prime factors of k(n)? 2 Let s = -23 + 38. Suppose 2*c + s = 3*h, 5*h + 4*c = -0*h + 25. List the prime factors of h. 5 Suppose -3*m = w + 23, w + 0*w + 5 = 0. List the prime factors of 13 - 3 - (m + 3). 13 Let s(b) be the third derivative of -b**4/24 + b**3 + 2*b**2. Let w be s(5). Suppose -2*l = w - 5. What are the prime factors of l? 2 Let v(t) = t**2 + 9*t + 12. Let j be v(-8). Suppose 0 = -5*m + 1 + j. Suppose -f - 8 = -2*p, -3*f + m + 11 = 0. List the prime factors of p. 2, 3 Suppose -s - 4*k = 3, -2*s - 2*s = k - 63. List the prime factors of -50*(s/(-5) + 3). 2, 5 Let o = 25 - 17. Let t be (-66)/o*(-8)/2. Suppose 4*q = -h + t, -1 = -q + h + 6. What are the prime factors of q? 2 Suppose -2 = -3*w + 31. Suppose -w = -3*i + 43. What are the prime factors of i? 2, 3 Let k be 43/3 - 2/(-3). Suppose k = 6*n - 5*n. List the prime factors of n. 3, 5 Let f(s) = 10*s**3 - s. Let w = 4 - 3. Suppose o + w = 2. List the prime factors of f(o). 3 Suppose 0*k - 32 = -4*k. Let n = k - 5. List the prime factors of (-50)/(-4) + n/2. 2, 7 Let m(u) = 5*u - 3. Let c be m(5). Suppose z - 4*g - 22 = 0, 40 + c = 4*z - 3*g. What are the prime factors of z? 2, 7 Let p(s) = s**2 - 5*s + 5. Let h be p(4). Let d(r) be the third derivative of 5*r**4/12 - r**3/6 - 3*r**2. What are the prime factors of d(h)? 3 What are the prime factors of 7/(14/(-6)) - -108? 3, 5, 7 Let w(h) = 23*h**2 + 2*h - 1. Let o(s) = -s**2 + 4*s + 13. Let v be o(6). List the prime factors of w(v). 2, 3 Let w(f) = -5*f**3 + 3*f**3 + 7*f - 4 + 3*f**3 - 2*f + 7*f**2. List the prime factors of w(-6). 2 Let u(y) = y + 7. What are the prime factors of u(7)? 2, 7 Let m(d) = -d + 14. Let s be m(8). Let i be (-4 - -1)*(-10)/s. Suppose 6 = -i*q + 6*q. What are the prime factors of q? 2, 3 Suppose 0 = h + 1 - 0. Let m be h*(0 - 1)/(-1). List the prime factors of 3 + m + (-10)/(-2). 7 Let s(o) = -29*o. Let g be s(-3). Suppose -239 = -4*y - 4*j - g, -4*j - 172 = -5*y. What are the prime factors of y? 2, 3 Let n(s) = 3*s + 4. Suppose 0 = 3*d - 0*d - 15. What are the prime factors of n(d)? 19 Suppose 2*z - 5*z = 9. Suppose -8*m + t = -4*m + 27, -3*m = -4*t + 30. Let r = z - m. List the prime factors of r. 3 Suppose -24*n - 13 = -25*n. What are the prime factors of n? 13 Let n = -115 + 275. What are the prime factors of n? 2, 5 Suppose -i - 4 = h + 9, 0 = 4*i - 5*h + 43. Let z = i + 22. What are the prime factors of z? 2, 5 Let y(o) = o**2 + 8*o - 7. What are the prime factors of y(-10)? 13 Let n(a) be the third derivative of -a**6/120 + a**5/12 - a**4/6 + a**3/3 - a**2. Suppose -1 = -5*x + 4, -2*x - 1 = -t. What are the prime factors of n(t)? 2 Suppose -80 - 151 = -21*m. What are the prime factors of m? 11 Suppose 2*s + 4*j = -6, -2*j = 2*s - j. Suppose -4*p = 4, a + p - 3 - s = 0. Suppose 3*v - 13 = 2*y, -a*v + 3*y + 9 = 6*y. List the prime factors of v. 3 Suppose -4*h - 70 = -2*b, 5*h - 5*b = -127 + 27. Let x = 20 + -10. What are the prime factors of x/(-3)*18/h? 2 Let r(x) be the third derivative of x**6/180 - 3*x**5/40 - x**4/12 + 3*x**2. Let s(i) be the second derivative of r(i). List the prime factors of s(6). 3, 5 Let a(k) be the first derivative of -k**3/3 + 3*k**2/2 + 4*k - 2. Let g be a(3). Suppose g*u - 12 = -0*u. What are the prime factors of u? 3 Let f be -4 + 3 + -2 + 3. What are the prime factors of (-2 - f) + (5 - -2)? 5 Suppose 2*l + 8 = -0*l, -111 = -u - 5*l. What are the prime factors of u? 131 Suppose -8*p = -4*p - 72. What are the prime factors of p? 2, 3 Suppose -f - 2*f - 47 = 5*t, -4*t + 4*f = 12. Let x(l) = l + 4. Let w be x(t). List the prime factors of 2/(-2)*(w - 2). 5 Let b be (-1)/5 - (-29)/(-5). Let n be (-9)/3*20/b. List the prime factors of (-5)/(n/(-16)) + 0. 2 Let y(h) = -h**3 - 10*h**2 - 2*h - 7. Let k be y(-9). Let n = 98 + k. Suppos
{ "pile_set_name": "DM Mathematics" }
*2 - 171*n + 191. Calculate the remainder when a(-35) is divided by 21. 9 Suppose -836 - 177 = -157*q + 243. Let n(p) = -2*p**3 - 3*p**2 + 1. What is the remainder when q is divided by n(-2)? 3 Let t(p) = -2*p**3 + 41*p**2 + 19*p + 77. What is the remainder when ((-12)/(-10))/(2/580) is divided by t(21)? 33 Suppose -549 = -8*g + 187. Let r = g + -73. What is the remainder when 33 is divided by r? 14 Let a(k) = k - 27*k + 2 + 5*k + k - 15*k - 2*k**2. What is the remainder when 86 is divided by a(-17)? 10 Let l = -22195 - -22916. What is the remainder when l is divided by 9? 1 Let b(l) = 203*l**3 + 8*l - 7. What is the remainder when b(1) is divided by 70? 64 Let d = -43 + -85. Let z = d - -171. What is the remainder when z is divided by 23? 20 Let f = 299 + -329. What is the remainder when -3*(-185)/f*-6 + 0 is divided by 14? 13 Suppose j + 47 = 148. Let r(l) = -5*l + 24. Let b be r(6). Let o(h) = h**2 - h - 8. What is the remainder when j is divided by o(b)? 33 Let y(g) = g**2 - 5*g + 7. Let i be y(-6). Let f = 62 - i. Let z = f + 54. Calculate the remainder when z is divided by 9. 7 Let g(a) = -10*a + 62. Let d be g(6). Suppose -4*p + d*o = p - 176, 3*o - 78 = -2*p. What is the remainder when 71 is divided by p? 35 Let t(h) = -h**3 - 3*h**2 + 25*h - 11. Let z be 2*((-468)/(-8))/(-13). What is the remainder when t(z) is divided by 36? 34 Let m(q) = 41*q**2 - 2*q + 1. Let z(c) = -c**3 + c**2 - c + 1. Let i be z(0). Let k = 328 + -314. Calculate the remainder when m(i) is divided by k. 12 Suppose -6 = k - 2*u, -3*k = -0*k - 2*u + 30. Let b = k + 14. Calculate the remainder when (5 + 0)*(-4 + 7) is divided by b. 1 Suppose 3*a = 4*b + 1326, -4*a + 1269 = 2*b - 455. Calculate the remainder when a is divided by 215. 4 Let o = -20268 - -28260. Calculate the remainder when o is divided by 39. 36 Suppose 623 = 6*u - 1498 + 285. Calculate the remainder when u is divided by 74. 10 Let j(x) = 980*x - 91. Calculate the remainder when j(5) is divided by 74. 73 Let f(r) = -r**3 - 2*r**2 + 5*r + 6. Let u = -248 - -385. Suppose u*g = 136*g + 51. What is the remainder when g is divided by f(-4)? 15 Suppose 43 = 2*k - 15. Suppose -2*a - 4*q + 40 = 0, -94 + k = -5*a - 3*q. Suppose a*z - 110 = 20. What is the remainder when 22 is divided by z? 9 Let p(o) = -o**2 + 30*o - 140. Let t be p(6). Suppose 4*a + t*d - 46 = 2*a, -2*a = -d - 21. What is the remainder when 142 is divided by a? 12 Suppose -5*b - 4*g + 5264 + 18982 = 0, 5*b + 3*g = 24247. Calculate the remainder when b is divided by 99. 98 Suppose 2*t - 5*t + 53 = p, -p - 83 = -5*t. Suppose -385*h - 428*h = -977*h + 19352. Calculate the remainder when h is divided by t. 16 What is the remainder when (-7711)/(-6) - (-20)/24 - (2 - -1) is divided by 58? 7 Suppose 0 = 3*j - 4*w - 207, -4*j + 60*w = 59*w - 250. What is the remainder when 1086 is divided by j? 49 Let v be -6*(-9 - -10)*109/(-1). Suppose -3*x + 0*x = -228. Calculate the remainder when x is divided by (-3)/(-15) + v/30. 10 Suppose 2*d - 2*m + 5 = 3*d, -4*m = 8. Let k(b) = 8*b - 3. Let n be (7/2)/(2/4). Calculate the remainder when k(n) is divided by d. 8 Suppose -381*s = -3667 - 4715. Let v = 2 - 2. Suppose 2*f - 16 = -2*i - v*i, -2*i + f + 7 = 0. What is the remainder when s is divided by i? 2 Let d be 4/(-22) - 9/((-495)/890). Suppose d*r = 10*r + 204. Let u(l) = 2*l**2 - 4*l + 2. What is the remainder when r is divided by u(4)? 16 Let n = 4396 - 4369. What is the remainder when 288 is divided by n? 18 Let j = 2609 - 1429. Calculate the remainder when j is divided by 74. 70 Let j(x) = -x**3 - 23*x**2 - 89*x - 3157. What is the remainder when j(-26) is divided by 17? 12 Suppose 271 - 277 = f, -4*q = -3*f - 1690. Calculate the remainder when 1687 is divided by q. 15 Let q = -102 + 25. Suppose -2*j + 12 = 2*n + 2, 20 = 4*j - 2*n. What is the remainder when ((-7)/(q/22))/((-2)/(-17)) is divided by j? 2 Let u = -678 - -672. Let x(d) = -24*d - 75. What is the remainder when 410 is divided by x(u)? 65 Let v be 29/8 + (-3)/(-8). Suppose -u = -4*l - 65, v*u - 70 = 5*l + 135. What is the remainder when u is divided by 44? 1 Let m = 29388 + -29319. Calculate the remainder when 11313 is divided by m. 66 Suppose -48 = 44*x - 48*x. What is the remainder when 4064 is divided by x? 8 Calculate the remainder when 863 is divided by -4 + 85 + 0/64. 53 Suppose 0*p = -5*p + 395. Let g(q) = -q**2 - 103*q + 1042. What is the remainder when p is divided by g(-112)? 11 Let h(w) = w**3 + 7*w**2 - 15*w - 59. Suppose t = -3*t - 4*g - 44, -3*g - 19 = t. Calculate the remainder when 82 is divided by h(t). 36 Let w = 2982 + -2647. What is the remainder when w is divided by 49? 41 Let u = -3970 + 4330. Calculate the remainder when u is divided by 74. 64 Let y = 118 - 78. Suppose 131 = 9*i - y. What is the remainder when 56 is divided by i? 18 Let j = -196 + 190. What is the remainder when 158/j*(-7 + -11 + 15) is divided by 40/4*1/1? 9 Let n(u) = -u**3 + u**2 + 17. Suppose 0 = -3*m + 2*c + 178, -8*m - 3*c = -4*m - 260. Calculate the remainder when m is divided by n(0). 11 Calculate the remainder when 190 is divided by 33/(-3) + (114 - 25). 34 Let g = -1542 - -1552. What is the remainder when 1507 is divided by g? 7 Suppose 107*c = 109*c - 86. Let f = 130 - c. Suppose 225 = p + 4*p. What is the remainder when f is divided by p? 42 Suppose m = 3*s + 53 - 100, 3*m = -3*s + 51. Let o(x) = 4*x**2 + x - 3. Calculate the remainder when o(-5) is divided by s. 12 Suppose 175*w - 166*w - 36 = 0. Let q(f) be the first derivative of 2*f**3 + f**2 - 5*f + 16. Calculate the remainder when q(-3) is divided by w. 3 Suppose -2 + 0 = y + 2*r, 2*y = 4*r - 12. Let q(f) = -f**3 - 2*f**2 - 9*f - 1. Calculate the remainder when q(y) is divided by 10. 7 Let u = -72 - -45. Let t = 28 + u. Let n(a) = 57*a**3 - a**2 + 4*a - 2. What is the remainder when n(t) is divided by 15? 13 Let t(x) be the second derivative of -11*x**3/6 - 9*x**2/2 + 56*x. Let y(n) = 3*n + 2. Let v be y(-2). Calculate the remainder when t(v) is divided by 20. 15 Let d be 38/9 + (-6)/27. Let s(a) = -7*a - 2. Let h(r) = -r + 1. Let t(w) = 4*h(w) - s(w). What is the remainder when 89 is divided by t(d)? 17 Let c = -362 - -369. Suppose 6*r = c*r - 124. What is the remainder when r is divided by 18? 16 Let a(k) = 2*k. Let s be a(2). Suppose 6*m - s*m = 4. Suppose -2*g + 29 = d, -m*g - g - 3*d + 36 = 0. Calculate the remainder when g is divided by 6. 5 What is the remainder when 1609 - 326 - ((-4)/(-2) + -3) is divided by 39? 36 Let s(b) = b**3 + 9*b**2 + 15*b + 10. Let h be s(-7). Suppose h*w - 61 - 131 = 0. What is the remainder when 317 is divided by w? 61 Suppose 5*f = -5*a + 1335, 0 = -4*f - 4*a + 7*a + 1047. What is the remainder when 30 is divided by (f/21)/2*(-91)/(-26)? 8 Let n(h) = h**3 - 6*h + 4. Let k be n(-3). Calculate the remainder when (-1 - 1 - 23)/(-1) is divided by 0 - (-14 - (k + 0)). 7 Let q(k) = -54*k**3 + 2*k**2 - 232*k - 233. Let n = -14 - -29. Calculate the remainder when q(-1) is divided by n. 10 Suppose -f + 8 = f. Let c = 410 + -412. Let t = c - -8. What is the remainder when t is divided by f? 2 Let b be ((-5)/(-30)*6)/((-1)/3). Calculate the remainder when (-2678)/(-39) + b/(-9) is divided by 14. 13 Let h(y) = -y**3 - 4*y**2 - 8*y - 7. Calculate the remainder when ((-4080)/(-27))/(44/66) + (-15)/9 is divided by h(-5). 51 What is the remainder when (-128)/(-1088) - (-3226)/34 is divided by 11? 7 Let b(m) = -3*m + 209. What is the remainder when b(-8) is divided by 26? 25 Let u = 5 + 1. Let i be (-2)/(-4*4/360). Suppose -b + u*b - i = 0. Calculate the remainder when 35 is divided by b. 8 Let g be (-1 - 3/15)/((-12)/90). Suppose 4*x + 63 = 3*p, -107 = -5*p + 3*x + g. Calculate the remainder when 96 is divided by p. 21 Let x(h) be the first derivative of h**4/2 - 2*h**3 - h**2 - 8*h - 128. What is the remainder when x(6) is divided by 8? 4 Suppose 54*v - 75*v + 546 = 0. Suppose 2*y - v = -j + 3*y, -3*j + y = -88. Calculate the remainder when 107 is divided by j. 14 Let m = -661 + 677. Suppose 2*q + 2 = m. Suppose 244 = 3*a + a. Calculate the remainder when a is divided by q. 5 Let j(c) = -4*c + 132. Let a be j(33). Suppose 46*p - 48*p + 42 = a. Calculate the remainder when 59 is divided by p. 17 Suppose 5*m -
{ "pile_set_name": "DM Mathematics" }
9? -209969*o - 34 What is the r'th term of 4575, 4604, 4681, 4830, 5075? 4*r**3 + r + 4570 What is the g'th term of 192478, 192476, 192476, 192478? g**2 - 5*g + 192482 What is the l'th term of 4280, 4291, 4302, 4313? 11*l + 4269 What is the x'th term of 4465, 8883, 13315, 17767, 22245, 26755? x**3 + x**2 + 4408*x + 55 What is the l'th term of -103072, -103075, -103084, -103105, -103144, -103207, -103300? -l**3 + 3*l**2 - 5*l - 103069 What is the t'th term of 206, 307, 400, 485, 562, 631? -4*t**2 + 113*t + 97 What is the d'th term of -5040867, -5040870, -5040875, -5040882, -5040891, -5040902, -5040915? -d**2 - 5040866 What is the c'th term of -10246, -10245, -10244, -10243, -10242? c - 10247 What is the z'th term of -1926, -6085, -13016, -22719, -35194? -1386*z**2 - z - 539 What is the b'th term of 124999, 124994, 124989, 124984, 124979, 124974? -5*b + 125004 What is the j'th term of 14057, 14065, 14075, 14087, 14101? j**2 + 5*j + 14051 What is the y'th term of -648775, -1297552, -1946329, -2595106, -3243883, -3892660? -648777*y + 2 What is the j'th term of -4762875, -4762880, -4762887, -4762896, -4762907, -4762920? -j**2 - 2*j - 4762872 What is the g'th term of 370, 981, 1830, 2911, 4218, 5745, 7486, 9435? -g**3 + 125*g**2 + 243*g + 3 What is the g'th term of 52647, 210575, 473789, 842289? 52643*g**2 - g + 5 What is the b'th term of -159, -200, -273, -378, -515, -684, -885? -16*b**2 + 7*b - 150 What is the c'th term of -58925, -117846, -176767, -235688? -58921*c - 4 What is the z'th term of 4885, 9738, 14591? 4853*z + 32 What is the h'th term of 240, 540, 1040, 1740, 2640, 3740? 100*h**2 + 140 What is the p'th term of -2066, -8292, -18678, -33224, -51930, -74796, -101822? -2080*p**2 + 14*p What is the g'th term of 2801, 2724, 2635, 2528, 2397, 2236, 2039? -g**3 - 70*g + 2872 What is the b'th term of -2023, -4033, -6043, -8053, -10063, -12073? -2010*b - 13 What is the u'th term of -941, -951, -971, -1001, -1041, -1091, -1151? -5*u**2 + 5*u - 941 What is the v'th term of -22754, -45570, -68386? -22816*v + 62 What is the y'th term of -268, -983, -2152, -3775, -5852? -227*y**2 - 34*y - 7 What is the l'th term of 143532, 287069, 430606? 143537*l - 5 What is the g'th term of 1659, 6635, 14941, 26595, 41615, 60019, 81825? 3*g**3 + 1647*g**2 + 14*g - 5 What is the g'th term of -552, -652, -816, -1044? -32*g**2 - 4*g - 516 What is the c'th term of -203, -585, -1143, -1877? -88*c**2 - 118*c + 3 What is the s'th term of 30, -22, -98, -198, -322? -12*s**2 - 16*s + 58 What is the t'th term of -5725, -11458, -17195, -22936, -28681? -2*t**2 - 5727*t + 4 What is the r'th term of 637991, 637989, 637985, 637979, 637971? -r**2 + r + 637991 What is the h'th term of 41090, 82173, 123256, 164339, 205422? 41083*h + 7 What is the y'th term of -19556, -39096, -58626, -78140, -97632? y**3 - y**2 - 19544*y - 12 What is the b'th term of 884, 935, 1020, 1139? 17*b**2 + 867 What is the h'th term of 540, 1379, 2220, 3063, 3908, 4755? h**2 + 836*h - 297 What is the u'th term of -12197, -12196, -12195, -12194, -12193? u - 12198 What is the o'th term of -9854, -9850, -9844, -9836, -9826, -9814? o**2 + o - 9856 What is the g'th term of -366, -1459, -3194, -5499, -8302, -11531, -15114, -18979? 12*g**3 - 393*g**2 + 2*g + 13 What is the j'th term of -499, -511, -529, -553, -583, -619, -661? -3*j**2 - 3*j - 493 What is the s'th term of -3734455, -3734454, -3734453, -3734452? s - 3734456 What is the w'th term of -1280, -2105, -2930? -825*w - 455 What is the q'th term of 7, -163, -445, -839, -1345, -1963? -56*q**2 - 2*q + 65 What is the n'th term of -6464, -6656, -6976, -7424, -8000? -64*n**2 - 6400 What is the p'th term of 1747, 7016, 15807, 28126, 43979, 63372, 86311, 112802? p**3 + 1755*p**2 - 3*p - 6 What is the o'th term of -174, -400, -722, -1182, -1822, -2684, -3810, -5242? -7*o**3 - 6*o**2 - 159*o - 2 What is the w'th term of 55, 191, 551, 1243, 2375, 4055, 6391? 18*w**3 + 4*w**2 - 2*w + 35 What is the c'th term of 383, 556, 843, 1244, 1759, 2388, 3131? 57*c**2 + 2*c + 324 What is the z'th term of 1624, 6419, 14414, 25609, 40004, 57599? 1600*z**2 - 5*z + 29 What is the n'th term of -77396, -77403, -77410, -77417, -77424? -7*n - 77389 What is the r'th term of 618, 1251, 1884, 2517, 3150? 633*r - 15 What is the f'th term of 143, 123, 103? -20*f + 163 What is the u'th term of -10475, -20947, -31421, -41897, -52375? -u**2 - 10469*u - 5 What is the i'th term of -768, -778, -790, -804, -820, -838? -i**2 - 7*i - 760 What is the i'th term of 1646, 1639, 1630, 1619, 1606, 1591, 1574? -i**2 - 4*i + 1651 What is the g'th term of 535493, 535495, 535497? 2*g + 535491 What is the n'th term of -3794, -3877, -4118, -4595, -5386, -6569, -8222? -13*n**3 - n**2 + 11*n - 3791 What is the p'th term of 30, 144, 274, 426, 606? p**3 + 2*p**2 + 101*p - 74 What is the z'th term of 1800, 1737, 1670, 1599, 1524? -2*z**2 - 57*z + 1859 What is the c'th term of -137, -296, -451, -602, -749, -892? 2*c**2 - 165*c + 26 What is the p'th term of -334, -287, -172, 41, 382, 881, 1568? 5*p**3 + 4*p**2 - 343 What is the z'th term of -150, -426, -882, -1512, -2310, -3270, -4386, -5652? z**3 - 96*z**2 + 5*z - 60 What is the o'th term of -7511, -7826, -8141, -8456? -315*o - 7196 What is the t'th term of -5532584, -5532585, -5532586, -5532587, -5532588? -t - 5532583 What is the h'th term of -771, -613, -177, 675, 2081, 4179? 23*h**3 + h**2 - 6*h - 789 What is the w'th term of -262, -520, -750, -952, -1126, -1272? 14*w**2 - 300*w + 24 What is the f'th term of 4429, 4423, 4417, 4411? -6*f + 4435 What is the h'th term of 242, 452, 654, 848, 1034? -4*h**2 + 222*h + 24 What is the v'th term of 328416, 656837, 985272, 1313727, 1642208, 1970721, 2299272? v**3 + v**2 + 328411*v + 3 What is the m'th term of 54574, 109148, 163722? 54574*m What is the g'th term of 54, 60, 4, -132, -366, -716? -3*g**3 - 13*g**2 + 66*g + 4 What is the g'th term of -14, -73, -204, -443, -826, -1389, -2168, -3199? -6*g**3 - 17*g + 9 What is the g'th term of 90, 437, 1016, 1827, 2870, 4145? 116*g**2 - g - 25 What is the x'th term of -465994, -465992, -465990, -465988, -465986? 2*x - 465996 What is the p'th term of -7068, -14150, -21234, -28320, -35408, -42498? -p**2 - 7079*p + 12 What is the d'th term of 5154, 5143, 5132, 5121, 5110? -11*d + 5165 What is the o'th term of -4231, -8462, -12697, -16936, -21179? -2*o**2 - 4225*o - 4 What is the a'th term of -3530, -3504, -3490, -3494, -3522, -3580, -3674? -a**3 + 33*a - 3562 What is the k'th term of -937, -936, -935, -934? k - 938 What is the c'th term of 44082, 88148, 132192, 176208, 220190, 264132? -c**3 - 5*c**2 + 44088*c What is the r'th term of 47171, 47178, 47197, 47234, 47295, 47386? r**3 + 47170 What is the v'th term of 35816, 35823, 35830, 35837? 7*v + 35809 What is the u'th term of 530, 1036, 1542, 2048, 2554? 506*u + 24 What is the d'th term of -3487, -3471, -3445, -3409, -3363? 5*d**2 + d - 3493 What is the i'th term of -26691, -26688, -26683, -26676, -26667, -26656? i**2 - 26692 What is the p'th term of -10278, -10323, -10364, -10401, -10434, -10463? 2*p**2 - 51*p - 10229 What is the s'th term of -516193, -1032385, -1548577, -2064769, -2580961? -516192*s - 1 What is the o'th term of -9520, -19034, -28546, -38056, -47564, -57070, -66574? o**2 - 9517*o - 4 What is the a'th term of -6409, -25657, -57737, -102649, -160393, -230969, -314377? -6416*a**2 + 7 What is the p'th term of 431, 372, 279, 158, 15? p**3 - 23*p**2 + 3*p + 450 What is the v'th term of -31369, -62744, -94085, -125374, -156593, -187724, -218749? 3*v**3 - v**2 - 31393*v + 22 What is the z'th term of -74969, -74965, -74959, -74951, -74941? z**2 + z - 74971 What is the o'th term of 32452, 32453, 32454, 32455, 32456, 32457? o + 32451 What is the z'th term of 127276, 254549, 381822, 509095? 127273*z + 3 What is the s'th term of -1062, -2118, -3170, -4218, -5262? 2*s**2 - 1062*s - 2 What is the g'th term of 1119, 1608, 2097, 2586, 3075, 3564? 489*g + 630 What is the x'th term of -55223, -55225, -55227? -2*x - 55221 What is the z'th term of -646, -653, -660? -7*z - 639 What is the h'th term of 208, -94, -394, -692, -988, -1282, -1574? h**2 - 305*h + 512 What is the p'th term of -892, -1592, -2292? -700*p - 192 What is the h'th ter
{ "pile_set_name": "DM Mathematics" }
respect to r. 1 Let m(y) = 53*y**3 + 45*y**2 - 7*y. Let q(g) = -27*g**3 - 23*g**2 + 4*g. Let n(j) = 4*m(j) + 7*q(j). What is the third derivative of n(d) wrt d? 138 Let a(y) be the second derivative of 7*y + 0*y**2 - 11/20*y**5 + 0*y**4 - 1/3*y**3 + 0. What is the second derivative of a(g) wrt g? -66*g Let z(b) = 2*b**3 + b**2 + b + 1. Let h be z(-1). Let j be (5 - -1) + -1 + h. Find the second derivative of 0*u**j + 5*u**4 - 3*u**4 - 2*u wrt u. 24*u**2 Let x(j) = j**3 + 4*j**2 + 2. Let m be x(-4). Differentiate c**2 + 0*c**2 + 1 + 5*c**m with respect to c. 12*c Find the first derivative of -116 + 202 - 20*r**4 - 104 wrt r. -80*r**3 Let o be 0*-2*(-3)/12. Suppose -m + 2 = -h, o*m = 2*h - m. What is the second derivative of -y**2 + y - 2*y**2 + 4*y**h wrt y? 2 Let j(l) = -33*l**4 + 14. Let o(g) = -98*g**4 + 41. Let u(r) = -11*j(r) + 4*o(r). What is the derivative of u(y) wrt y? -116*y**3 Find the third derivative of -102*w**4 + 102*w**4 + 6*w**5 + 2*w**2 wrt w. 360*w**2 Let w(g) be the second derivative of 0 + 0*g**5 - 1/10*g**6 + 2*g - 1/2*g**2 + 0*g**3 + 0*g**4. Differentiate w(q) wrt q. -12*q**3 Let h(a) be the second derivative of 1/3*a**3 - 4*a + 0*a**2 + 0*a**4 + 0 + 3/20*a**5. What is the second derivative of h(r) wrt r? 18*r Let w(n) be the second derivative of 7*n**6/30 + 23*n**2/2 - 31*n. What is the derivative of w(b) wrt b? 28*b**3 Let g(v) = -v**2 - v + 2. Let r be g(0). Find the third derivative of 3*i**5 - 8*i**5 + 5*i**2 - 3*i**5 + 0*i**r wrt i. -480*i**2 Let k = -14 - -8. Let r be 13/3 - (-2)/k. What is the second derivative of -6*t + t**r + t + 4*t wrt t? 12*t**2 Let d(v) = -35*v**2 - 3*v - 25. Let q(t) = 34*t**2 + 2*t + 25. Let w(j) = -2*d(j) - 3*q(j). What is the first derivative of w(b) wrt b? -64*b Let g(s) = -s**4 + 2*s**3 - 4*s**2 + 2*s. Let w(o) = -o**4 + 3*o**3 - 4*o**2 + 3*o. Let f(a) = 3*g(a) - 2*w(a). Find the third derivative of f(n) wrt n. -24*n Let p = 1 + 3. Suppose 3*b - 2*x = -6*x + p, -5*x - 2 = 2*b. Find the second derivative of b*t**2 + t**2 - 2*t - 2*t**2 wrt t. 6 Let u(h) be the first derivative of 4*h**3/3 - 3*h**2/2 + 3*h - 3. Let s(a) be the first derivative of u(a). Differentiate s(t) wrt t. 8 Let q(b) = -13*b**4 - 8*b**3 - 8*b**2 + 54*b. Let y(w) = 9*w**4 + 5*w**3 + 5*w**2 - 36*w. Let d(r) = -5*q(r) - 8*y(r). Find the second derivative of d(i) wrt i. -84*i**2 Let l = -8 - -5. Let i = l - -5. Find the third derivative of i*v**2 + 11 - v**3 - 11 wrt v. -6 Let q(v) be the third derivative of 3*v**8/112 - v**4/2 + 11*v**2. Find the second derivative of q(a) wrt a. 180*a**3 Let j(i) = 238*i - 56. Let g(d) = 59*d - 14. Let z(n) = 21*g(n) - 5*j(n). Differentiate z(b) wrt b. 49 Let o(r) be the third derivative of r**9/756 + r**6/180 + 2*r**3/3 + 3*r**2. Let s(t) be the first derivative of o(t). Find the third derivative of s(a) wrt a. 240*a**2 Let z(r) be the first derivative of 3*r**8/560 - r**6/40 - r**3/3 - 6. Let j(l) be the third derivative of z(l). What is the third derivative of j(w) wrt w? 216*w Let x(u) be the first derivative of 2*u**5/5 - 3*u**2 - 6. What is the second derivative of x(h) wrt h? 24*h**2 Let z(l) be the first derivative of -l**6/6 - 2*l**3/3 + 1. What is the third derivative of z(d) wrt d? -60*d**2 Let i = -4 - -4. Suppose -a - 4*f = 6, -3*a + 14 = -i*f - 4*f. What is the first derivative of 0*h + 3*h + 0*h - a*h - 1 wrt h? 1 Let y(q) be the second derivative of -q**4/2 + 11*q**3/6 + 10*q. Find the second derivative of y(k) wrt k. -12 Let o(k) be the second derivative of -3*k**8/56 + 13*k**4/12 + 12*k. Find the third derivative of o(h) wrt h. -360*h**3 What is the third derivative of -9*s + 9*s + 0*s - 9*s**2 + 10*s**6 wrt s? 1200*s**3 Find the second derivative of -3*y**4 + 7*y**4 + 5*y + y**4 + 5*y wrt y. 60*y**2 Let d(u) be the first derivative of u**4/12 - 3*u**2/2 - u - 1. Let p(s) be the first derivative of d(s). Find the first derivative of p(l) wrt l. 2*l Let a(n) be the second derivative of 0 + 0*n**2 + 1/2*n**3 - 1/12*n**4 + n. Find the second derivative of a(w) wrt w. -2 Find the first derivative of 43*y + 15 - 17 + 0*y wrt y. 43 Let o(m) = -5*m**3 + 5*m**2 - 10*m - 6. Let b(l) = 5*l**3 - 4*l**2 + 11*l + 5. Let t(r) = 6*b(r) + 5*o(r). What is the third derivative of t(q) wrt q? 30 Let o(j) = -26*j**2 - 26*j - 3. Let u(h) = -26*h**2 - 27*h - 2. Let q(x) = 2*o(x) - 3*u(x). What is the second derivative of q(l) wrt l? 52 Let o(n) be the first derivative of 3*n**4 + 7*n**2 - 1. Find the second derivative of o(a) wrt a. 72*a Let c(k) be the first derivative of -6*k**6 + 19*k**3/3 - 13. Find the third derivative of c(o) wrt o. -2160*o**2 Suppose 5*r - 2*m - 2 = 0, -2*r + 2*m = m. Find the second derivative of r - 3*y - 3*y**2 - 5 + 3 wrt y. -6 Let d(k) be the second derivative of k**8/56 - 2*k**6/15 + 7*k**4/3 - 2*k + 15. Find the third derivative of d(c) wrt c. 120*c**3 - 96*c Let o(v) = -2 - v**2 + 5 - 2 + v**3 - 2*v**3. Let l(i) = i**3 - 2*i**2 + 2*i + 2. Let z(k) = -l(k) + 2*o(k). Find the second derivative of z(b) wrt b. -18*b Let x(o) = -o**2 - 8*o + 2. Let c(a) = -4*a**2 - 25*a + 7. Let d(k) = -2*c(k) + 7*x(k). What is the second derivative of d(h) wrt h? 2 Find the third derivative of -55*g**2 + 68*g**2 + 29*g**2 - 5*g**3 wrt g. -30 Let n be (-3)/((-2)/(12/1)). Let u be n/(-12) + 3/2. Differentiate 2 + 1 + u*z + z**3 + 0*z with respect to z. 3*z**2 Let u be (-132)/(-77) + (-4)/(-14). Find the second derivative of 5*x - 6*x**u + 0*x**2 + x**2 wrt x. -10 Suppose -4*j = 3*l + 8, -4 = -5*l - j + 11. Find the second derivative of -l*z + 0*z + 2*z + 5*z**4 wrt z. 60*z**2 Differentiate f**3 - 8 + 0 + 2 - 4 wrt f. 3*f**2 Let z(l) be the first derivative of 0*l**5 - 1/2*l**6 + 0*l + 3/2*l**2 + 0*l**4 + 0*l**3 + 1. What is the second derivative of z(a) wrt a? -60*a**3 Let o be (19 - 5)/(4/(-2)). Let u = o - -9. Find the first derivative of -2*z + 2*z - u*z - 2 wrt z. -2 Suppose 8 = -7*o + 9*o. What is the third derivative of 1 - 1 - 14*k**4 + 7*k**2 + 7*k**o wrt k? -168*k Find the second derivative of -30 - 2*w - 36 + 73 + 14*w**2 + 2*w**5 wrt w. 40*w**3 + 28 Find the second derivative of o**4 + 5*o**2 - 7*o - 5*o**2 - 7*o**4 wrt o. -72*o**2 Let c(d) = -3*d - 6. Let g be c(-4). Differentiate -g - 4*s**3 + 105*s - 105*s wrt s. -12*s**2 What is the derivative of 16*u**4 - 709 + 663 + 15*u**4 wrt u? 124*u**3 Let l(g) = -g**2 + g - 1. Let b(s) = 10*s**2 - 7*s + 3. Let y(n) = 2*b(n) + 14*l(n). Differentiate y(t) wrt t. 12*t Let l(j) = 7*j + 1. Let x = 3 + -2. Let f(i) = 3*i + x + i + 0*i. Let r(s) = 5*f(s) - 3*l(s). Find the first derivative of r(m) wrt m. -1 Let b(u) = u**3 + u**2 + u - 1. Let x(s) = 10*s**3 - 6*s**2 - 6*s + 7. Let y(r) = 6*b(r) + x(r). Find the first derivative of y(d) wrt d. 48*d**2 Let s(g) = 8*g**4 - 3*g**3 - 3*g**2 - 3*g + 3. Let d(o) = -7*o**4 + 2*o**3 + 2*o**2 + 2*o - 3. Let u(i) = -3*d(i) - 2*s(i). Differentiate u(k) wrt k. 20*k**3 Let w = -1 + 4. Find the second derivative of -3*k - 3*k + 4*k**w + 6*k - k wrt k. 24*k Let b be -1*(-3)/(-1) + 11. Find the third derivative of 3*j**2 + b - 8 + 3*j**5 + 6*j**2 wrt j. 180*j**2 Let t = 4 + -1. What is the second derivative of 3*z**2 - 3*z**2 + 4*z**t + 3*z wrt z? 24*z Let w(d) be the first derivative of 6/5*d**5 - 3 + 0*d**2 + 0*d**4 + 0*d + d**3. What is the third derivative of w(t) wrt t? 144*t Let m(x) = -x**2 + 1. Let p(i) = -18*i**2 - 18*i - 4. Let s(z) = -4*m(z) - p(z). Find the second derivative of s(g) wrt g. 44 Let z(t) be the third derivative of 2*t**2 + 5/6*t**3 - 1/105*t**7 + 0*t**6 + 0*t + 0*t**5 + 0 + 0*t**4. What is the derivative of z(a) wrt a? -8*a**3 What is the third derivative of 77*t**2 - 49*t**6 - t - 99*t**2 + 3*t wrt t? -5880*t**3 What is the derivative of 8*c**4 + 31*c**4 - 6 + 30 wrt c? 156*c**3 Differentiate -5*i + 2*i + 3 - 2 - 2*i with respect to i. -5 Let n(d) be the third derivative of -d**6/8 + d**5/10 + 22*d**2. Find the third derivative of n(u) wrt u. -90 Let p(q) be the first derivative of 7/2*q**2 + 0*q + 0*q**3 + 0*q**4 + 6/5*q**5 - 6. What is the second derivative of p(c) wrt c? 72*c**2 Let m(a) = -a**5 + a**4 - a**2 - 1. Let h(r) = -39*r**5 - 9*r**4 + 9*r**2 - 33*r + 9. Let j(u) = -h(u) - 9*m(u). Find the second derivative of j(n) wrt n. 960*n**3 Let r(f) = -f**3 - f**2
{ "pile_set_name": "DM Mathematics" }
rivative of 44*g - 1521*g**3 + 42*g**z + 1521*g**3 wrt g? 504*g**2 Let q(s) be the second derivative of -1955*s**7/21 - 1729*s**4/12 + 4665*s. Find the third derivative of q(y) wrt y. -234600*y**2 Let q(n) be the first derivative of 605*n**6/6 + 2*n**3/3 - 17*n**2/2 - 41*n + 8891. Find the third derivative of q(x) wrt x. 36300*x**2 Let d(l) = -6741*l**3 + 3*l**2 - 462*l + 3083. Let v(r) = 6740*r**3 - 4*r**2 + 616*r - 3083. Let g(i) = 4*d(i) + 3*v(i). Differentiate g(z) wrt z. -20232*z**2 Let n(g) = -15*g - 124. Let l be n(-15). What is the derivative of 101*y + 50*y**2 + 62*y**2 - 154 - l*y wrt y? 224*y Suppose -4 + 10 = 2*g. Differentiate -45*w**3 - 22 + 89 + 7*w**g wrt w. -114*w**2 Let s(n) be the first derivative of 0*n**3 + 7/4*n**4 + 6/5*n**5 + 25 + 0*n + 15/2*n**2. Find the second derivative of s(q) wrt q. 72*q**2 + 42*q Let w(s) = -22*s**4 + 13*s**3 + 2621*s**2 + 10*s - 4. Let u(j) = -3*j**3 + 5*j**2 - 2*j + 1. Let l(i) = 4*u(i) + w(i). Find the third derivative of l(p) wrt p. -528*p + 6 Suppose -5*s + 77 = x, 4*x + 75 = -2*s + 419. Differentiate -x + 22*k - 10*k - 5*k - 150*k**4 - 7*k with respect to k. -600*k**3 Suppose -3*s = -4*r + 37, -r - 2*s - 1 + 2 = 0. Find the third derivative of -141*o**4 + 0*o - 6*o - 2*o + 20*o**4 + o**2 - r*o**2 wrt o. -2904*o Suppose -4*f + 224 = -2*r - 2444, r = 5*f - 3332. Differentiate -666*q**2 + f*q**2 - 2*q**4 + 88*q - 60 wrt q. -8*q**3 + 88 Let f(h) = 4*h**3 + 7*h**2 - 10*h. Let a be f(3). What is the second derivative of 138*p - 54*p**2 - 272*p - 5 - 12*p**2 + a*p wrt p? -132 Let v(i) be the first derivative of i**5 + 339*i**4/4 - 2851*i + 3069. Differentiate v(r) with respect to r. 20*r**3 + 1017*r**2 Let b(u) be the second derivative of 323*u**6/3 + 6715*u**2/2 - 4709*u. What is the derivative of b(m) wrt m? 12920*m**3 Let t(d) be the third derivative of d**6/120 - d**5/12 - 5*d**4/24 - 11*d**2. Let v be t(6). Find the second derivative of 53*m**2 + 3*m - 44*m**2 + v*m wrt m. 18 Find the first derivative of -706*t + 7*t**4 - 9*t**4 + 1508 + 129*t - 300*t - 64*t wrt t. -8*t**3 - 941 What is the third derivative of 981*a**5 - 20*a + 8*a + 18*a**2 + 12*a + 32*a**2 wrt a? 58860*a**2 Suppose i - 6*i = 4*m - 15, -m - 10 = 4*i. Suppose o = 3*u, 5*u - 593 = -3*o - 565. What is the third derivative of 5*v**u - 2*v**4 + v**4 - m*v**4 wrt v? -264*v Let f(y) = 2*y + 6. Let v be f(-2). Differentiate -10 - 1 - 43 - v*j - 10 wrt j. -2 Let c be -3 - ((-2)/(4/6) - 4). Suppose -4*u - 3*a = c, -5*u + 22 = -4*a + a. Find the second derivative of 0*l**5 - 8*l - u*l**5 + 394*l**4 - 394*l**4 wrt l. -40*l**3 Suppose -3*n = -5*d - 138, -4*d + 6 = -2*n + 98. Find the third derivative of -9*s**3 + 17*s**2 - n*s**2 - 2*s - 138*s**3 - 5*s**3 - 22*s**2 wrt s. -912 Let g(q) be the first derivative of -56*q - 54*q + 12*q - 47 - 29 + 106*q**2. Differentiate g(h) with respect to h. 212 Suppose -165 = 5*i - v, -2*i + 0*v - 66 = -2*v. Let z be (11/i)/(1/(-9)*1). Differentiate -13*q**3 + 21 - 45 + 2*q**z wrt q. -33*q**2 Suppose -8*k - 86 + 110 = 0. Find the third derivative of -2*h + 45*h**2 + 18*h**3 + 2*h - 9*h**k wrt h. 54 Let s(q) = -15*q**3 - 5*q**2 - 5*q - 212. Let x(o) = 47*o**3 + 15*o**2 + 16*o + 636. Let n(b) = -19*s(b) - 6*x(b). Find the second derivative of n(w) wrt w. 18*w + 10 Let o be 2/(-4)*(1 - 19). What is the first derivative of -8 + 13 - 2 + o*m - 21 wrt m? 9 Let p(x) = -9*x**4 + x**2 + 2. Let c(u) = -56*u**4 + 22*u**3 + 3*u**2 + 20*u + 54. Let l(g) = c(g) - 5*p(g). What is the third derivative of l(a) wrt a? -264*a + 132 Let y(v) = -74 - 4*v + 0*v**2 - 82 + 5*v**2 + 159. Let o be y(1). Differentiate 15 - o + 20*t**3 - t**3 - t**3 wrt t. 54*t**2 Let q be ((-17)/4)/((-1)/(-4)). Let o(s) = s**3 + 18*s**2 + 14*s - 25. Let y be o(q). What is the third derivative of -37*u**2 + y*u**4 + 278 - 278 wrt u? 624*u Suppose 4*y - 1198 = -4*h + 1430, -3*h - 5*y + 1975 = 0. Differentiate -75 + s - h*s**3 + 18*s**4 + 655*s**3 wrt s. 72*s**3 + 1 Let a(m) = 3*m**2 - 3*m - 1. Let t(u) = -49*u**2 + 4*u - 8583. Let g(w) = 6*a(w) + t(w). Differentiate g(s) with respect to s. -62*s - 14 Let y(h) be the third derivative of -1229*h**4/6 + 2908*h**3/3 - 2*h**2 + 25*h - 5. What is the first derivative of y(m) wrt m? -4916 Let f(d) be the third derivative of -d**6/20 - d**5/60 + 109*d**4/2 - d**3/6 + d**2 - 960. What is the second derivative of f(b) wrt b? -36*b - 2 Let j(d) = -30588*d + 22117. Let i(r) = -7647*r + 5527. Let g(m) = 15*i(m) - 4*j(m). Differentiate g(k) wrt k. 7647 What is the third derivative of 2 - 753*x**4 + 1689*x**4 + 4*x**5 - x**2 - 756*x**4 wrt x? 240*x**2 + 4320*x Let l be 1/(-10) + 721/10. Find the second derivative of 170*o - 95*o - l*o**2 - 125*o wrt o. -144 Differentiate 78*q - 837*q + 183*q + 4383 with respect to q. -576 Suppose 20*q - 1299 = -399. What is the derivative of -50*v**4 - q*v - 45*v - 58 + 90*v wrt v? -200*v**3 Find the third derivative of -49303*h**4 - 2*h**3 + 42111*h**4 - 2*h**3 - 1992*h**2 + 2*h**3 wrt h. -172608*h - 12 What is the third derivative of 2*r**4 - 97*r**2 + 10*r**3 + 632*r**3 + 999*r**2 + 5*r**3 wrt r? 48*r + 3882 What is the third derivative of -549*m**2 + 2492*m**3 + 9 + 269*m**2 + 309*m**2 + 979*m**3 wrt m? 20826 Let w(g) = -2*g**5 + g**3 - 2*g + 1. Let u(n) = -727*n**5 + 2*n**3 - 338*n**2 - 4*n + 2. Let y(p) = -u(p) + 2*w(p). Find the third derivative of y(z) wrt z. 43380*z**2 Suppose -3*q = 5*m - 239, -6*q = -5*q - m - 77. Differentiate -q + 4*d**4 + 274 + d**4 + 13*d**2 with respect to d. 20*d**3 + 26*d Let t(q) = -2*q**4 - 2*q**3 + 44*q**2 + 12*q + 198. Let w(z) = -z**3 + 5*z**2 - z - 2. Let s(b) = -t(b) - 6*w(b). What is the second derivative of s(i) wrt i? 24*i**2 + 48*i - 148 Let m(b) = -b**3 + 7*b**2 + 35*b - 7. Let n be m(-4). Find the second derivative of -46*f**2 + 62*f**2 + 24*f + n*f**2 wrt f. 90 Suppose 28*j - 350525 - 948339 = 0. What is the third derivative of -363*q**4 + 46729*q**2 - j*q**2 + 40*q**4 wrt q? -7752*q What is the third derivative of -9*y**5 + 608*y**4 + 1134*y**4 + 25*y**5 - 14*y**5 - 294*y**2 + 93*y**2 wrt y? 120*y**2 + 41808*y Let a(m) = 8024*m**3 - 9*m**2 + 202*m + 7. Let q(t) = 2675*t**3 - 3*t**2 + 67*t + 2. Let v(o) = -2*a(o) + 7*q(o). Find the third derivative of v(w) wrt w. 16062 Let k(w) be the first derivative of -283*w**6/6 + w**4/4 - 4*w**3/3 - 2*w**2 - 96*w - 4988. What is the third derivative of k(n) wrt n? -16980*n**2 + 6 Let d be 2*(-4 + 639/2). Suppose 13*g = 799 + d. What is the derivative of 225*y + 12 - 96*y - g*y wrt y? 19 Let y(x) = -4*x - 35. Let b be y(-10). Let o(a) be the second derivative of 15*a + 0*a**4 + 12*a**2 + 0 + 0*a**3 + 4/5*a**b. Differentiate o(u) wrt u. 48*u**2 Suppose 8 = 3*f - 1. Let l(p) = -p**3 + 5*p**2 - 2*p - 1. Let q be l(f). What is the third derivative of o**2 - q*o**4 + 18*o**4 + 2*o**2 wrt o? 168*o Let s(f) be the first derivative of 822*f**5/5 + 1067*f**2 + 564. Find the second derivative of s(y) wrt y. 9864*y**2 Let y be (-2)/(-26) + 153/39. Find the third derivative of -76*v - 2*v**y + 27*v + 8 + 0*v**2 - 2*v**3 - 8 + 3*v**2 wrt v. -48*v - 12 Let b(n) be the third derivative of 3*n**6/10 - 2*n**4/3 + 143*n**3/6 + 2232*n**2. What is the derivative of b(l) wrt l? 108*l**2 - 16 Find the second derivative of 1178*g**3 + 1258*g**3 + 578*g**2 - 2438*g**3 + 5680*g wrt g. -12*g + 1156 Let a(i) be the third derivative of i**7/105 - 1703*i**6/120 - i**4/12 - 729*i**3 + 80*i**2 - 3*i - 4. Differentiate a(u) with respect to u. 8*u**3 - 5109*u**2 - 2 Find the third derivative of 746*a**2 - 34*a**4 - 68*a**2 + 223*a**2 + a**2 + 429*a**2 - 27*a**3 wrt a. -816*a - 162 Suppose 8 = 4*f + 4*l, 2*f + 4*l = 1 - 3. Let g be (-15)/9 - 272/(-48). What is the first derivative of f*y**4 - 17 + 11*y**g - 25*y**4 wrt y? -36*y**3 Let h(s) = 12844*s**3 - 144*s + 17. Let r(t) = -3211*t**3 + 36*t - 4. Let b(g) = -4*h(g) - 15*r(g). What is the second derivative of b(z) wrt z? -19266*z Let a(b) be the second derivative of -b**8/28 - 404*b**6/5 + 7*b**4/12 - 9*b**3 + 4*b - 193. What is the third derivative of a(i) wrt i? -240*i**3 - 58176*i Let q = 24 + -22. Differentiate 33 - 74*i**2 + 11*i**q - 9*i**2 with respect to i. -144*i Let u(p) = 5138*p**5 + 8*p**3 + 10*p + 10. Let k(s) = -s**5 + s**3 + s. Let l(n) = 8*k(n) - u(n). Wha
{ "pile_set_name": "DM Mathematics" }
16236*n + 94. 27577724 What is the second derivative of 32*p**4 - 28545*p**3 + 15304689*p? 384*p**2 - 171270*p What is the first derivative of -103760504*v - 17423133 wrt v? -103760504 What is the second derivative of -29*g**2*h**3 + 322818*g**2*h**2 - 2585*g**2*h - 36*g*h - 5 wrt h? -174*g**2*h + 645636*g**2 What is the first derivative of 6772*z**3 - 69*z**2 - z - 15098680 wrt z? 20316*z**2 - 138*z - 1 Differentiate -5311111*f - 61127026 wrt f. -5311111 Differentiate 658772*c**3 + c**2 + 2*c - 1299085. 1976316*c**2 + 2*c + 2 Find the third derivative of 9520*f*q**5 + 5146*f*q**3 - 2*f*q + 314*f - 281348*q**2 wrt q. 571200*f*q**2 + 30876*f What is the first derivative of -41837*g**3 + 158*g**2 + 3*g - 47206155? -125511*g**2 + 316*g + 3 Differentiate 81*a**3*z**2 - 57*a**3*z + 6*a**3 - 20*a**2*z - 5*a**2 + 15*a - 105 wrt z. 162*a**3*z - 57*a**3 - 20*a**2 Find the third derivative of -1480007*t**2*y**3 + 3*t**2*y**2 - 432*t*y**3 - 57*t*y**2 + 574*y**2 + 20*y + 2 wrt y. -8880042*t**2 - 2592*t What is the second derivative of 41959659*z**5 - 602726082*z + 1 wrt z? 839193180*z**3 What is the second derivative of 27446193*y**2 + 36946396*y wrt y? 54892386 Differentiate 76*h**2 - 275957*h - 185402360 wrt h. 152*h - 275957 What is the first derivative of 617*u**4 + 3*u**3 - 102*u**2 - 3*u - 4474485? 2468*u**3 + 9*u**2 - 204*u - 3 Differentiate -104642*a*g**2 - 12*a*g*k - 556*g**2*k + 649*g*k + 3*g - 2*k wrt a. -104642*g**2 - 12*g*k Differentiate -25*g**4 - 492*g**3 + 20*g**2 - 5452700 with respect to g. -100*g**3 - 1476*g**2 + 40*g Find the second derivative of -2621450*n**3 - 2*n**2 + 2306*n - 288 wrt n. -15728700*n - 4 What is the second derivative of 269411*f**5 - 3*f**2 - 2498334*f - 1? 5388220*f**3 - 6 What is the third derivative of 21392009*i**3 + 31741001*i**2? 128352054 What is the third derivative of 984847827*d**3*x + 27*d**2*x - 32*d**2 + 2*d*x - d - x + 122 wrt d? 5909086962*x Find the first derivative of -5*p**3 + 17120137*p**2 + 305075741. -15*p**2 + 34240274*p What is the third derivative of 294509*b**4 + 7*b**3 - 5842836*b**2? 7068216*b + 42 Find the first derivative of -95551765*z - 193461798. -95551765 Differentiate -5*b*u**2 - 28*b*u - 86214860*b - 772*u**3 + 2*u wrt u. -10*b*u - 28*b - 2316*u**2 + 2 What is the third derivative of -55569648*s**3 + 13757093*s**2? -333417888 What is the derivative of -29521*a*q - 3075*a + 79*q - 275 wrt q? -29521*a + 79 Find the third derivative of -2200772*y**3 - 8550801*y**2 wrt y. -13204632 Find the third derivative of -143003250*p**5 - p**2 + 157863540 wrt p. -8580195000*p**2 What is the derivative of 3*f*z**3 + 1633013*f*z**2 - 850*f - 129 wrt z? 9*f*z**2 + 3266026*f*z Find the third derivative of 9040996*g**3 - 3929073*g**2 - 1. 54245976 Find the second derivative of 161792489*s**2*t**2 - 158*s**2*t - s**2 + 6674*s*t wrt t. 323584978*s**2 Find the third derivative of 468612238*o*r**3 - 2*o*r**2 + 2*o*r + 46*o - 11*r**2 - 3144*r wrt r. 2811673428*o What is the third derivative of 11898314*b**2*r*v**4 - 55*b**2*r*v**2 - 5*b**2*r + b**2*v - 10*b*r*v + 4*b*r - 2*v**5 - 1 wrt v? 285559536*b**2*r*v - 120*v**2 What is the second derivative of -33*b*r**4 + 11*b*r**3 + 10288*b*r - 2*b - 7*r**4 - 78*r wrt r? -396*b*r**2 + 66*b*r - 84*r**2 What is the second derivative of -13*r**4 + 3885094*r**2 - 4446*r + 17772? -156*r**2 + 7770188 Find the second derivative of 33*y**3 - 5445882*y**2 + 539953282*y wrt y. 198*y - 10891764 Find the third derivative of 42422938*a**5 + 6*a**2 + 73794*a + 1. 2545376280*a**2 Differentiate -336*b*c*n**2 - 53*b*c + 11410*b*n**2 - 54515 wrt n. -672*b*c*n + 22820*b*n What is the first derivative of 11*p**4 + p**3 + 4949*p**2 - 2*p + 14333864? 44*p**3 + 3*p**2 + 9898*p - 2 Differentiate 8*a**4 - 7712616*a + 65455546. 32*a**3 - 7712616 What is the second derivative of 36*s**5 - 313488*s**3 + 10997465*s? 720*s**3 - 1880928*s Find the third derivative of -83788242*v**5 - 428*v**2 - v - 71279. -5027294520*v**2 What is the third derivative of 3*f*o**4 - 8333*f*o**3 + 16*f*o**2 + 54*o**4 - 2*o**3 + 129135*o**2 - o wrt o? 72*f*o - 49998*f + 1296*o - 12 Find the third derivative of 10266817*u**3*y**2 + 4*u**2*y**2 - u**2*y - u*y**2 + 330*u + 3*y wrt u. 61600902*y**2 Find the second derivative of 37015*h**5*s + 434*h**4*s - 325*h*s - 254154*h wrt h. 740300*h**3*s + 5208*h**2*s Find the first derivative of -108142535*n*v**2 + n*v + 40679*n + 757 wrt v. -216285070*n*v + n Find the third derivative of 8*k**3*m*z - 15746*k**3*m - 16*k**3 - 10*k**2*m*z + 4*k**2*z + 311*k*m - 12*k - 5*m*z wrt k. 48*m*z - 94476*m - 96 Find the second derivative of -8*a**5 - 612355*a**3 - 203800530*a wrt a. -160*a**3 - 3674130*a Find the second derivative of -117*c**3*i**4 + 78659049*c**3*i - 79578*i**4 wrt i. -1404*c**3*i**2 - 954936*i**2 What is the third derivative of 1357677076*n**4 - 3*n**2 + 3*n - 2709500? 32584249824*n Differentiate -296749*o**2 - 63*o - 176299592 wrt o. -593498*o - 63 Find the third derivative of 3*b**2*l**3 + b**2*l**2 - 862*b*l**3 + 2980*b + 19366*l**3 + 675*l**2 wrt l. 18*b**2 - 5172*b + 116196 Differentiate 767104139*y**3 + 913103701 with respect to y. 2301312417*y**2 Differentiate 1775*c**2*i - 14742797*c**2 + 1318*c*i**3 wrt i. 1775*c**2 + 3954*c*i**2 Find the third derivative of -99*b**5*y - 39888*b**5 - 2*b**2*y - 1416555*b - 4*y wrt b. -5940*b**2*y - 2393280*b**2 Find the second derivative of 6950085*v**4 + 49*v**3 - 3562890*v + 6. 83401020*v**2 + 294*v What is the third derivative of 46674192*y**5 - 1080*y**2 + 10453*y wrt y? 2800451520*y**2 What is the derivative of -14320875*a**3 + 3151971? -42962625*a**2 Find the third derivative of -10982079*z**3 - 183812524*z**2. -65892474 Find the third derivative of 95127*j**5*y**3 - 1492*j**3*y**3 + 2*j**2 + 2804373*j*y**3 wrt j. 5707620*j**2*y**3 - 8952*y**3 Find the second derivative of 3528532*d**5 + d**4 - 28685793*d wrt d. 70570640*d**3 + 12*d**2 What is the second derivative of -20590181*n*w**2 + n*w + 240094*n - 2*w - 3 wrt w? -41180362*n What is the second derivative of -19*d**3*n**2 - 78025*d**3*n + 3*d**2*n - 80438434*d*n**2 - n wrt d? -114*d*n**2 - 468150*d*n + 6*n What is the second derivative of -3336748*k**3 - 3*k**2 - 1764523*k wrt k? -20020488*k - 6 Find the second derivative of -2*n*s**2*v - 7*n*s**2 - 2*n*s - 455*n*v + 4627*s**2*v - 7*s**2 + s*v wrt s. -4*n*v - 14*n + 9254*v - 14 What is the derivative of -48563361*u**2 - 129992549 wrt u? -97126722*u What is the second derivative of 4417*a**2*k*u - 50*a**2*u**2 - 4*a**2*u - a**2 + 170*a*k*u**2 - 53*a*k - a*u**2 - 2*a + k - 1 wrt a? 8834*k*u - 100*u**2 - 8*u - 2 What is the third derivative of 4*n**3*p*x - 381*n**3*x - 701*n**3 - 1231*n**2*p*x + 18*n*p*x + 2*p*x - 20*p wrt n? 24*p*x - 2286*x - 4206 Find the third derivative of -8097301*k**3 + 466502*k**2 - k. -48583806 Find the second derivative of -80142*z**4 + z**3 + 409*z**2 - 6*z - 8155710. -961704*z**2 + 6*z + 818 What is the second derivative of 1372370382*b**2 - 181967178*b wrt b? 2744740764 What is the third derivative of 710828278*b**3*f**3 + 13*b**3*f + 183*b**2*f - 7*b*f**2 + 4*b - 8*f**2 wrt f? 4264969668*b**3 Differentiate 2*b*s**3 + 6*b*s**2 - b*s + 1201*b*x - 132*s**3*x - 38*s + 2476 with respect to x. 1201*b - 132*s**3 What is the first derivative of -21482*i*t + 1381*i + 136610213*t wrt i? -21482*t + 1381 What is the first derivative of 4457972*l**2 + 1449387? 8915944*l Differentiate 92049156*h**3*p + p + 7314894 with respect to h. 276147468*h**2*p What is the third derivative of 323*i**6 + 10*i**5 - 63*i**4 + 1423838*i**2? 38760*i**3 + 600*i**2 - 1512*i Find the second derivative of -46*a**3 + 315603*a**2 - 160877218*a. -276*a + 631206 Find the second derivative of 3469196*f**5*h**2 - f*h**2 + 4*f*h + 5*h**2 + 6302*h wrt f. 69383920*f**3*h**2 What is the derivative of 113293*p**2 - 34*p + 622699154? 226586*p - 34 Find the third derivative of 620456807*h**6 + 480*h**2 + 4*h - 30513. 74454816840*h**3 Find the second derivative of -i**5 + 184*i**3 - 4210*i**2 + 3169*i + 84. -20*i**3 + 1104*i - 8420 What is the first derivative of 151044000*f**2 - 108423690? 302088000*f What is the third derivative of -2*w**6 - 74053922*w**5 - 2654*w**2 + 20*w - 45? -240*w**3 - 4443235320*w**2 What is the third deriva
{ "pile_set_name": "DM Mathematics" }
130, -5*x + 2*z + 390 = 0. Round x to the nearest ten. 80 Let n = 1.5 + 28.5. Let t = n + -31.3. Let b = 2.4 + t. Round b to the nearest integer. 1 Let l be (265/4)/(1/(-4)). Let m = l - -1255. What is m rounded to the nearest one hundred? 1000 Let h = 26.037 + -0.037. Let y = h - 33.8. What is y rounded to the nearest integer? -8 Let u = 61 - 211. Let s = 241 + u. Let q = 91.063 - s. What is q rounded to two dps? 0.06 Suppose 5*j + 1 - 6 = 3*k, 5*j = -k + 25. Suppose 23391 = -4*m + 132591. Suppose m = -k*y + 2*y. What is y rounded to the nearest 1000? -9000 Suppose 4*o + 0 - 12 = 0. Suppose -o*x = 2*x. Suppose 0 = 2*y + 4*f + 2012, -3*y = -x*y - 4*f + 2988. What is y rounded to the nearest one thousand? -1000 Let s = 173.8 - -29.2. Let u = 202.999903 - s. What is u rounded to five decimal places? -0.0001 Let o = -39 + 174. Let a = -134.99893 + o. What is a rounded to 4 dps? 0.0011 Let r = -1765 - -1775.572. Let t = -0.028 - r. What is t rounded to 0 dps? -11 Let o = 806.00000834 - 806. Round o to 6 dps. 0.000008 Suppose 0*j - 4*g + 460 = 3*j, 0 = -4*j + 4*g + 660. Round j to the nearest one hundred. 200 Let f be (-16)/(-24) + (-55)/(-3). Let p = -10 + f. Let n be 4/(-18) - (-115202)/p. What is n rounded to the nearest one thousand? 13000 Let r = -1.671 + -12.819. Let c = r + 0.29. Round c to the nearest integer. -14 Suppose -x + 4*s + 1 = 2*x, 0 = -x + s + 1. Let l = x + 2. Suppose 0 = -3*k - 9, -4*d + l*k - 4985 = 0. Round d to the nearest one hundred. -1300 Suppose -12 = 2*g - 0*g. Let v(m) = -9 + 6*m - 64*m**2 - 7*m**2 + 1. Let o be v(g). Round o to the nearest one thousand. -3000 Let p = -16745834340868392 + 16745834494373818.20000022. Let q = p + -153505428. Let a = q + 1.8. What is a rounded to seven decimal places? 0.0000002 Let l(w) = -w**3 + 10*w**2. Let g be l(10). Let n be (-4)/((-8)/650) + g. Suppose -t + 45 = -n. What is t rounded to the nearest one hundred? 400 Let w(j) = -109998*j + 20 - 9 - 17. Let x be w(3). What is x rounded to the nearest one hundred thousand? -300000 Suppose -o = -1132 - 836. Suppose -c - 1832 = o. Round c to the nearest one thousand. -4000 Let t(n) = n + 1. Let m be t(-6). Let o(w) be the first derivative of w**4/4 + 7*w**3/3 + 3*w**2/2 - 5*w - 2. Let i be o(m). Round i to the nearest 100. 0 Let u(l) = -75511*l**3 - l**2 + 4*l - 3. Let y be u(-5). Let r = -17638827 + y. What is r rounded to the nearest 1000000? -8000000 Let r(z) = -11*z + 8. Let u be r(-6). Let t = u - 109. Round t to the nearest 10. -40 Let l be 5 - (1 + (-1 - -2)). Suppose 4*f - 312 = z - 0*z, -f + l*z + 67 = 0. Let w be f*1 + -1 + 0. Round w to the nearest ten. 80 Suppose g = -5*k - 0*g + 311, -43 = -k - 5*g. Round k to the nearest 10. 60 Let w(h) = -1005*h**3 - 7*h**2 - 14*h + 1. Let b be w(-7). Suppose -b = -5*s + 130529. What is s rounded to the nearest 10000? 100000 Let m = 9574 + -9566.0016. Let v = 8 - m. Round v to four dps. 0.0016 Let a = 1.137 + -0.339. Let l = a + 0.092. What is l rounded to one decimal place? 0.9 Let b = -235.127 + 111391.127. Let p = 111156.160018 - b. Let u = -0.16 + p. What is u rounded to 5 decimal places? 0.00002 Let u = 23 + -5. Let b = u - 13. Suppose -c = -3*x - b*c - 12012, 4*x + 16006 = -2*c. Round x to the nearest one thousand. -4000 Let g = 4344741.8593 - 569.8593. Let b = g + -4344176.3000038. Let o = b + 4.3. What is o rounded to 6 dps? -0.000004 Let j = -454209.579962 + 454210. Let f = 0.42 - j. What is f rounded to five decimal places? -0.00004 Let b = -6 + 102. What is b rounded to the nearest ten? 100 Suppose 5*n = 4*d + 3*n - 16, 3*d - 5*n - 26 = 0. Let f be -1*(1 - d/(-2)). Let z be f/5 + 1161/15. Round z to the nearest 10. 80 Let n = -0.2 + 0.2. Let w = -3.92 - -4. Let o = n + w. What is o rounded to 2 decimal places? 0.08 Let w = 182.2 + -153. What is w rounded to the nearest 10? 30 Suppose -2*c - q + 43 = -4*c, q + 77 = -4*c. Let w be (-2)/(-10) - (-386000004)/c. What is w rounded to the nearest one million? -19000000 Let q(n) = 9*n - 3. Let o be q(2). Let r be (61199940/(-18))/(2/(-6)). Let j be r/o + 2/3. Round j to the nearest one hundred thousand. 700000 Let v = -154.247 + 154. What is v rounded to 2 dps? -0.25 Let s = 14.512 - 0.012. Let c = 14.4999862 - s. Round c to six dps. -0.000014 Suppose 3*u - 19199994 = u. Suppose 4*d - u = -q, -8*d + 5*d + 7199994 = 2*q. Round d to the nearest 1000000. 2000000 Let w = -0.709 + -0.181. What is w rounded to 1 decimal place? -0.9 Let l be 3033/(-18) + (-2)/4. Round l to the nearest 10. -170 Let h = 0.0067 + -0.0067614. What is h rounded to 5 dps? -0.00006 Let n = 30 - 30.004. Round n to 2 decimal places. 0 Let a = -0.161 + 0.1610081. What is a rounded to 6 decimal places? 0.000008 Suppose -2*n - s = -109077 - 25980, -4*s = -n + 67542. Let q = 42582 + n. Let w = q - 710112. Round w to the nearest 1000000. -1000000 Let k be 819952/(8 - 4) + -4. Suppose 4*u = -5*x - k, 0*u = -u + 4. Round x to the nearest 10000. -40000 Let o be (3 - -1)*(-1)/(-2). Let k be (-9)/2*o/(-3). Suppose 5*z = b - 6985, k*b - 5*z + 9208 = 30193. Round b to the nearest 1000. 7000 Let n = 0.1579879 + -0.158. What is n rounded to 6 decimal places? -0.000012 Let l be 2919999/(-4) - (-7)/(-28). Round l to the nearest 1000000. -1000000 Let n = 23.8 + -24.81. Round n to 1 decimal place. -1 Let z = 2.9 - 1.6. Let h = z - 3.9. What is h rounded to the nearest integer? -3 Suppose 4*j + 3593233 = -3*p + 55468833, 2*p + 64844477 = 5*j. Let x = 32168897 - j. What is x rounded to the nearest 1000000? 19000000 Let v = -5754 - -13874. Round v to the nearest 1000. 8000 Let r = 75.72 - 77. Round r to 1 dp. -1.3 Let i = 0.63 - 23.43. Let x = i + -92.2. Let k = -115.069 - x. Round k to 2 decimal places. -0.07 Let t = -1.6092 + 1.64. Let j = 0.535 + -0.5. Let x = j - t. Round x to 3 dps. 0.004 Suppose 57 = 3*j - 60. Round j to the nearest 10. 40 Let p = -0.32 - 0.12. Round p to one dp. -0.4 Let z be 1 - 1/1 - 2. Let b = 182 + z. Let l be b/6*(-62)/(-6). Round l to the nearest one hundred. 300 Suppose 5*a = -4*b + 849992, 2*a + 2*b - b = 339998. What is a rounded to the nearest one hundred thousand? 200000 Let u = -18.2295 - -20.4294928. Let y = -2.2 + u. Round y to 6 dps. -0.000007 Let u = -4143954 - -7343954. What is u rounded to the nearest one hundred thousand? 3200000 Let i = -0.6 - -6.6. Let b = i + -4. Let a = b + -2.000005. Round a to 6 dps. -0.000005 Suppose -1413558 = -3*q - 85077. Suppose 0 = -4*s + s + q. Suppose -3*j + s = 27609. What is j rounded to the nearest one hundred thousand? 0 Let k(d) = -2*d - 9. Let h be k(-6). Suppose h*j - 2*j = -460. Round j to the nearest 100. -500 Let j(g) = -g**2 - 11*g - 2. Let d be j(-11). Let k be 3/d + 382799967/(-22). Round k to the nearest one million. -17000000 Let b = 178724.98562 - 178723. Let k = b - -0.01358. Let y = -2 + k. What is y rounded to three decimal places? -0.001 Let z = -49.13 - -1.13. Let x = -58.5 - z. Let b = -0.1 - x. What is b rounded to 0 decimal places? 10 Let q(d) = 934*d**2 + d - 3. Let p be q(-3). Round p to the nearest one thousand. 8000 Let b = 68804 + -68753.687. Let c = 49.61281 - b. Let s = c - -0.7. What is s rounded to four decimal places? -0.0002 Let w = 0.132 + -0.1. Let t = w + 1.388. Round t to 1 dp. 1.4 Let w be (1719036/15)/(3/30). Suppose -216024 = -3*r - w. Round r to the nearest 100000. -300000 Let v = -2.4 - -0.6. Let q = v + 1.755. What is q rounded to 2 dps? -0.05 Let u be 1/(-2)*460/5. What is u rounded to the nearest ten? -50 Let t = -125.8 + 107.29. Round t to the nearest integer. -19 Let x = -10 + 10.00005. What is x rounded to 4 decimal places? 0.0001 Let g = 0.2 + -0.2. Let q = 0.2 - g. Let z = 0.184 - q. What is z rounded to 2 dps? -0.02 Let i = 2.29896 + -2.3. Round i to 4 dps. -0.001 Let j = -29 - -31.16. Let h = j + -2.5. Round h to one decimal place. -0.3 Let p = -2 + 0.8. What is p rounded to zero decimal places? -1 Let i = 75.949 - 0.249. Let n = i - 79. Let m = -1.5 - n. What is m rounded to the nearest integer? 2 Let w = -5115.56 + 5053.55845. Let l = w - -62. Round l to 4 decimal places. -0.0016 Let f = -1.43999804 + 1.44. Round f to 6 decimal places. 0.000002 Let g = 19.497 + -19.6. Let i = 2258851.8969909 - 2258852. Let r = i - g. What is r rounded to 6 dps? -0.000009 Let
{ "pile_set_name": "DM Mathematics" }
ng 3 q when three letters picked without replacement from pqqqpqqqppqp. 7/44 Two letters picked without replacement from {p: 3, s: 4, b: 5}. What is prob of picking 2 b? 5/33 What is prob of picking 1 j and 3 e when four letters picked without replacement from {q: 1, x: 1, e: 5, v: 6, j: 1}? 10/1001 Two letters picked without replacement from oofffffo. What is prob of picking 1 f and 1 o? 15/28 Four letters picked without replacement from ssdsssss. Give prob of picking 4 s. 1/2 Calculate prob of picking 2 y when two letters picked without replacement from {w: 4, y: 2, k: 4, t: 1}. 1/55 Two letters picked without replacement from {g: 7, w: 3}. What is prob of picking 2 g? 7/15 Four letters picked without replacement from tsqfafusqaqtsqsuqtt. What is prob of picking 1 q, 1 t, 1 f, and 1 a? 20/969 Three letters picked without replacement from exbcbdz. What is prob of picking 1 x, 1 c, and 1 d? 1/35 Calculate prob of picking 1 v and 1 y when two letters picked without replacement from vkyvgkvvgkygyggdvvdg. 9/95 Two letters picked without replacement from {x: 3, m: 1, g: 1}. Give prob of picking 1 x and 1 m. 3/10 Two letters picked without replacement from {c: 2, l: 3}. Give prob of picking 1 l and 1 c. 3/5 Three letters picked without replacement from vuvkuuytuumyuvuu. What is prob of picking 2 y and 1 m? 1/560 Three letters picked without replacement from mmmgmmmg. Give prob of picking 2 m and 1 g. 15/28 Two letters picked without replacement from {s: 1, r: 1, t: 6, h: 5, n: 1}. Give prob of picking 2 h. 10/91 Two letters picked without replacement from ayflyfayfnyy. What is prob of picking 1 f and 1 y? 5/22 Calculate prob of picking 2 t and 2 i when four letters picked without replacement from {n: 2, t: 4, f: 2, i: 3, w: 4, v: 3}. 1/170 Three letters picked without replacement from geegigeieegwee. Give prob of picking 1 e, 1 i, and 1 g. 2/13 Three letters picked without replacement from {d: 2, g: 2}. What is prob of picking 1 g and 2 d? 1/2 What is prob of picking 2 e when two letters picked without replacement from eke? 1/3 Four letters picked without replacement from dyydkk. What is prob of picking 2 d and 2 y? 1/15 Calculate prob of picking 2 r, 1 c, and 1 m when four letters picked without replacement from ccrrmccmccccccm. 2/91 What is prob of picking 1 c and 2 z when three letters picked without replacement from {q: 1, z: 2, j: 1, x: 1, w: 2, c: 1}? 1/56 Two letters picked without replacement from {g: 8, f: 6, v: 2, m: 3}. Give prob of picking 1 f and 1 m. 2/19 Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {b: 15, c: 3}. 105/272 Three letters picked without replacement from rarrarrr. Give prob of picking 1 a and 2 r. 15/28 What is prob of picking 3 r when three letters picked without replacement from prprr? 1/10 Calculate prob of picking 2 r when two letters picked without replacement from {v: 4, s: 7, r: 3}. 3/91 Two letters picked without replacement from pppppppppppjppppppp. Give prob of picking 1 j and 1 p. 2/19 Two letters picked without replacement from {g: 1, v: 6, p: 7}. Give prob of picking 1 g and 1 p. 1/13 What is prob of picking 2 a and 2 y when four letters picked without replacement from {r: 2, y: 2, m: 2, a: 5, i: 2}? 2/143 Three letters picked without replacement from kemaammmm. Give prob of picking 1 m and 2 a. 5/84 What is prob of picking 1 h, 2 k, and 1 c when four letters picked without replacement from khhhchkck? 4/21 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from ppvvf. 1/5 Three letters picked without replacement from {y: 11, p: 3}. What is prob of picking 1 y and 2 p? 33/364 Two letters picked without replacement from {m: 1, b: 14}. What is prob of picking 2 b? 13/15 Two letters picked without replacement from ixxj. What is prob of picking 1 x and 1 i? 1/3 What is prob of picking 1 e and 3 l when four letters picked without replacement from {l: 6, e: 6}? 8/33 Calculate prob of picking 1 r, 1 s, and 1 v when three letters picked without replacement from {r: 3, v: 3, s: 5}. 3/11 What is prob of picking 1 t and 3 l when four letters picked without replacement from {d: 1, t: 6, l: 3, y: 3}? 6/715 Two letters picked without replacement from {i: 1, w: 3, x: 6, c: 1, t: 6}. What is prob of picking 1 i and 1 w? 3/136 What is prob of picking 2 n and 1 v when three letters picked without replacement from nnrrnnwv? 3/28 What is prob of picking 2 f, 1 b, and 1 m when four letters picked without replacement from {x: 1, d: 1, f: 2, b: 1, u: 2, m: 1}? 1/70 Two letters picked without replacement from woozlwool. What is prob of picking 1 o and 1 z? 1/9 Two letters picked without replacement from {q: 8, y: 3}. What is prob of picking 2 y? 3/55 Calculate prob of picking 2 i when two letters picked without replacement from nopobbioibopoo. 1/91 What is prob of picking 1 t and 1 h when two letters picked without replacement from {h: 1, z: 1, u: 2, t: 6, o: 2, n: 6}? 2/51 What is prob of picking 1 p, 1 c, 1 j, and 1 q when four letters picked without replacement from {p: 2, w: 1, q: 1, c: 4, j: 1}? 4/63 Three letters picked without replacement from {r: 1, t: 1, e: 5, p: 2, f: 3}. What is prob of picking 1 p, 1 e, and 1 f? 3/22 What is prob of picking 1 p and 1 y when two letters picked without replacement from {z: 2, k: 1, y: 2, m: 2, p: 1}? 1/14 What is prob of picking 1 w and 3 u when four letters picked without replacement from {u: 11, w: 1}? 1/3 Two letters picked without replacement from pwpraoro. What is prob of picking 1 w and 1 o? 1/14 What is prob of picking 2 q when two letters picked without replacement from {n: 7, q: 5}? 5/33 What is prob of picking 1 d and 1 f when two letters picked without replacement from {d: 11, g: 3, f: 1}? 11/105 What is prob of picking 1 m and 1 i when two letters picked without replacement from oojmmixxixaioimii? 9/68 What is prob of picking 2 x when two letters picked without replacement from {q: 8, b: 3, x: 2, e: 5, j: 1}? 1/171 What is prob of picking 2 d and 1 i when three letters picked without replacement from niniididdiddnssis? 3/34 What is prob of picking 3 c when three letters picked without replacement from {e: 5, y: 1, c: 3}? 1/84 Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {d: 1, a: 7, t: 4, k: 2}. 4/1001 Three letters picked without replacement from {m: 1, w: 1, u: 2, x: 2, p: 2}. What is prob of picking 1 u, 1 p, and 1 w? 1/14 Four letters picked without replacement from {j: 4, n: 4, p: 3, l: 1, b: 6, t: 1}. What is prob of picking 1 p, 2 n, and 1 t? 3/646 Four letters picked without replacement from qmeqqffqqmfmfmmfmqq. Give prob of picking 3 m and 1 q. 35/969 Four letters picked without replacement from {o: 1, n: 1, l: 2, p: 1, w: 1, b: 1}. Give prob of picking 1 p, 1 w, 1 b, and 1 n. 1/35 Three letters picked without replacement from {q: 3}. What is prob of picking 3 q? 1 Three letters picked without replacement from jiyjehj. What is prob of picking 1 j, 1 i, and 1 y? 3/35 Two letters picked without replacement from eesxg. Give prob of picking 1 g and 1 x. 1/10 Two letters picked without replacement from {f: 1, c: 4, i: 6, n: 1, d: 6}. What is prob of picking 2 d? 5/51 Two letters picked without replacement from rcorcckccccocc. Give prob of picking 1 r and 1 k. 2/91 Three letters picked without replacement from vvvnvvvvvvvvvvnvvvvv. What is prob of picking 3 v? 68/95 Three letters picked without replacement from {h: 1, z: 1, w: 2, j: 2}. Give prob of picking 1 w, 1 h, and 1 j. 1/5 Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {i: 4, t: 1, o: 5, w: 1, l: 1, q: 5}. 5/136 Three letters picked without replacement from {o: 1, p: 1, a: 1, s: 1, e: 1}. Give prob of picking 1 p, 1 e, and 1 s. 1/10 Calculate prob of picking 1 t and 3 i when four letters picked without replacement from {t: 5, i: 3, q: 4, j: 1}. 1/143 Two letters picked without replacement from bbbpppxxyx. Give prob of picking 1 y and 1 x. 1/15 What is prob of picking 1 w and 1 x when two letters picked without replacement from {w: 1, v: 1, m: 1, x: 2, z: 2, h: 1}? 1/14 What is prob of picking 3 j and 1 o when four letters picked without replacement from jjjjj
{ "pile_set_name": "DM Mathematics" }
-8e? -213 In base 3, what is -120102 - 1022? -121201 In base 11, what is 13605 - -2? 13607 In base 8, what is 6 + 6315524? 6315532 In base 13, what is -5 - 297824? -297829 In base 5, what is 4301 + -133? 4113 In base 13, what is -24729 - -4? -24725 In base 8, what is -1 - -63435? 63434 In base 16, what is 0 - -7901a? 7901a In base 9, what is 4240 + 116? 4356 In base 10, what is -8 - 7405? -7413 In base 10, what is 388 - 857? -469 In base 6, what is 131442 + -1? 131441 In base 15, what is 3c49b + 4? 3c4a0 In base 6, what is -3 + -40050323? -40050330 In base 13, what is -28519 - -1a? -284cc In base 13, what is 0 - -2950a? 2950a In base 6, what is -21411 + 4? -21403 In base 4, what is -10 + 21211? 21201 In base 11, what is 0 + 1264? 1264 In base 4, what is -1 + 100313011? 100313010 In base 4, what is -33 - -2011310? 2011211 In base 14, what is -3 - -4cd3? 4cd0 In base 16, what is 1 - -29e6? 29e7 In base 11, what is 7 - -2168? 2174 In base 5, what is -43001 + -1232? -44233 In base 7, what is -2 + -212641? -212643 In base 16, what is -9df - -9? -9d6 In base 2, what is -10100001111 - 10001000010? -100101010001 In base 14, what is 1 + -121906? -121905 In base 15, what is 10 + 31c4? 31d4 In base 3, what is 10020202 - 11? 10020121 In base 2, what is -11101 + 10011000010010010? 10011000001110101 In base 11, what is 11048 - 4? 11044 In base 10, what is -3 + -30863? -30866 In base 6, what is 3 - -5523550? 5523553 In base 11, what is 5 - -52201? 52206 In base 11, what is -2 + -2a689? -2a690 In base 9, what is 3 - 1133887? -1133884 In base 11, what is 2158 - -11? 2169 In base 13, what is 16453 - -1? 16454 In base 15, what is -40e20e + 0? -40e20e In base 3, what is -222101 + 101110112? 100111011 In base 16, what is 3 - -6b94? 6b97 In base 14, what is -5da - 5a? -656 In base 6, what is 13 + 14050302? 14050315 In base 4, what is -1323103 - -3203? -1313300 In base 9, what is -475 + 41? -434 In base 7, what is -2016 + 11103? 6054 In base 13, what is -b + -2bb? -2c9 In base 2, what is 11 - -1001101000101110? 1001101000110001 In base 13, what is -9 - 3534? -3540 In base 2, what is 1100101101 - -1100110100? 11001100001 In base 6, what is -4453052 + 0? -4453052 In base 5, what is -424204030 - -3? -424204022 In base 14, what is -2629b1 + 3? -2629ac In base 4, what is 30 + -33030220? -33030130 In base 13, what is -c9b5 - 6? -c9bb In base 8, what is 770634 - -1? 770635 In base 5, what is 100 + -131242? -131142 In base 15, what is 81cc9 - 9? 81cc0 In base 16, what is 3d271 - 1? 3d270 In base 5, what is 430 + 2103? 3033 In base 3, what is 212 - 120201? -112212 In base 13, what is -5 - -18c66? 18c61 In base 10, what is 1 + 9517? 9518 In base 5, what is 1003 - 1034? -31 In base 7, what is 6334 + -10? 6324 In base 15, what is -359cc - 6? -359d3 In base 4, what is 3003 + -111302? -102233 In base 4, what is 2010221333 + 10? 2010222003 In base 8, what is -6 - 11427? -11435 In base 14, what is -9b183 - -4? -9b17d In base 4, what is -3 - 213003113? -213003122 In base 5, what is 301 + -3043? -2242 In base 6, what is 1 + -3011043? -3011042 In base 5, what is 2220 + 324443? 332213 In base 2, what is -11 + -10010011011101010? -10010011011101101 In base 16, what is 4 + -468f? -468b In base 13, what is 74c2 - 5? 74ba In base 11, what is -39 + -1723? -1761 In base 6, what is 4300 + 305? 5005 In base 7, what is -535616 + 6? -535610 In base 14, what is 253 - -1c85? 20d8 In base 16, what is -62 - -309? 2a7 In base 14, what is -79d0 + -53? -7a43 In base 5, what is -4301331 + 10? -4301321 In base 7, what is 320325 + -15? 320310 In base 8, what is -527 + -3? -532 In base 15, what is -24025 + -d? -24033 In base 5, what is 31100042 - -23? 31100120 In base 7, what is -2 + 66502? 66500 In base 12, what is -2a6 - 1112? -13b8 In base 16, what is -2974 - -6c? -2908 In base 4, what is -312321 + 1? -312320 In base 13, what is 1731a + -21? 172c9 In base 7, what is 12255 + -15? 12240 In base 7, what is -2604 - 4121? -10025 In base 5, what is -4 + 20244? 20240 In base 15, what is d0d + -69? c94 In base 13, what is -7 - -1397a? 13973 In base 16, what is 564 + 26? 58a In base 15, what is -18350 - 3? -18353 In base 15, what is -5 - 1875? -187a In base 15, what is 11ce + -77b? 953 In base 9, what is -11 - 5421? -5432 In base 8, what is -126 + -1620? -1746 In base 5, what is 11313 - 401? 10412 In base 5, what is 3 + -232442? -232434 In base 2, what is -100 - 1010000100001? -1010000100101 In base 2, what is 10 - -11101001010? 11101001100 In base 2, what is -10101100011111101 + -10? -10101100011111111 In base 3, what is 112 - 12220022121? -12220022002 In base 5, what is 312310 - 2? 312303 In base 3, what is 110011 + 2111? 112122 In base 9, what is 125267 + 3? 125271 In base 9, what is -5 + 722057? 722052 In base 16, what is -6f908 - -2? -6f906 In base 5, what is -114221 - -1244? -112422 In base 4, what is 3223 - -2302131? 2312020 In base 4, what is -13 - 1031203? -1031222 In base 2, what is -111010 - -1001111011? 1001000001 In base 15, what is 374ac5 + 1? 374ac6 In base 12, what is a + -76b3? -76a5 In base 15, what is 228 - 2d? 1ea In base 7, what is -45 - 32105? -32153 In base 5, what is 100004 + -1? 100003 In base 4, what is -2131331011 - -10? -2131331001 In base 3, what is -1210 - -2010012? 2001102 In base 5, what is 443 - -2303? 3301 In base 13, what is 73672 - -1? 73673 In base 7, what is 503464 - -10? 503504 In base 2, what is 100 - -11001101? 11010001 In base 9, what is 8 - 2226? -2217 In base 3, what is 1220111202 + 12? 1220111221 In base 8, what is 50 - -6624? 6674 In base 14, what is -1 + -652a? -652b In base 15, what is 0 - 1696cc? -1696cc In base 14, what is 1 + 1d4c? 1d4d In base 7, what is -15014 + -3? -15020 In base 5, what is -1 + 112301? 112300 In base 5, what is -132403 - 1023? -133431 In base 12, what is 17b + 27? 1a6 In base 2, what is 0 - -1111100110100? 1111100110100 In base 8, what is 5 - 436037? -436032 In base 11, what is 6465 + 3? 6468 In base 8, what is -3 - -2570512? 2570507 In base 5, what is -3243 + 2320? -423 In base 15, what is 4 + -b8b81? -b8b7c In base 13, what is 703 + 28? 72b In base 4, what is -2010100122 - 2? -2010100130 In base 11, what is 3336 - -2? 3338 In base 15, what is 4882 - -a? 488c In base 15, what is -4 - -18159? 18155 In base 7, what is -52313 - -212? -52101 In base 5, what is -4 - -24303? 24244 In base 9, what is 28 + 343? 372 In base 4, what is -101320012 - 3? -101320021 In base 4, what is -32 + -2323131? -2323223 In base 16, what is -5 + 7e56a? 7e565 In base 4, what is 1201012 + 3233? 1210311 In base 4, what is 2 + 1213131012? 1213131020 In base 4, what is -22 - -1000110101? 1000110013 In base 9, what is -118 + 1483? 1364 In base 13, what is -37 + -4ac8? -4b32 In base 2, what is -10101 + -1100? -100001 In base 6, what is -13 - 20205? -20222 In base 8, what is 2253 + -127? 2124 In base 7, what is 1216263 - -5? 1216301 In base 11, what is 41786 - -3? 41789 In base 8, what is 25335 + -20? 25315 In base 10, what is 34 - 22520? -22486 In base 8, what is 7576 + -6? 7570 In base 14, what is -322 + 2b? -2d5 In base 12, what is 21b26 + 3? 21b29 In base 2, what is 1 - 1001111110000000? -1001111101111111 In base 4, what is -100200 + 232? -33302 In base 3, what is 221020 - -21202021? 22200111 In base 13, what is -39 + 84? 48 In base 4, what is 131 + 1200201? 1200332 In base 9, what is -2383 - 2? -2385 In base 9, what is 4705 - 7? 4687 In base 14, what is 80506 - -2? 80508 In base 16, what is 20bf + 4? 20c3 In base 12, what is -68b3 - 50? -6943 In base 4, what is -32 + -12203? -12301 In base 8, what is 7320064 - -2? 7320066 In base 10, what is -48 - 1357? -1405 In base 12, what is 5 - -5102? 5107 In base 4, what is 3000102 - 12? 3000030 In base 2, what is -100000000011110 - -10? -100000000011100 In base 8, what is -10116 + 10? -10106 In base 2, what is -100110 - 101100010011? -101100111001 In base 11, what is 2 - 3668? -3666 In base 6, what is 3510431 - -4? 3510435 In base 11, what is -65 + -138? -1a2 In base 7, what is -5 + -3031621? -3031626 In base 4, what is -1011232 - -10? -1011222 In base 10, what is 131 + 4838? 4969 In base 2, what is 100011 - 10010010000? -10001101101 In base 6, what is -5 + -511154? -511203 In base 2, what is 0 - 110010101101100101? -110010
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in 802*p - 1611*p + 125*p**3 - 124*p**3 + 809*p. p**3 Collect the terms in -22*l + 53*l + 47*l. 78*l Collect the terms in -11 + 0*x + x + 2. x - 9 Collect the terms in 2*w**3 + w**3 - w**3 - 31*w**2. 2*w**3 - 31*w**2 Collect the terms in 6*o + 1 + 8*o - 5*o - 3. 9*o - 2 Collect the terms in -6*a + 0*a + 97*a**2 + 6*a. 97*a**2 Collect the terms in -2*j**3 + 16*j**3 - 31*j**3. -17*j**3 Collect the terms in 63*h**3 + 62*h**3 - 191*h**3 + 68*h**3. 2*h**3 Collect the terms in n - 5*n + 5*n. n Collect the terms in 8 + 2 - 7 - 5*v**2 - 3. -5*v**2 Collect the terms in -73*y**3 - 3*y + 3*y + 68*y**3. -5*y**3 Collect the terms in 50*l - 133*l - 192*l. -275*l Collect the terms in 8 - 4 - 4*y**2 - 4. -4*y**2 Collect the terms in 37*a**2 - 2 - 2*a + 2. 37*a**2 - 2*a Collect the terms in -37018 + 37018 - w. -w Collect the terms in -2059*f + 2059*f + 13*f**2. 13*f**2 Collect the terms in -6 + k**2 + 0*k**2 + 6. k**2 Collect the terms in 3 - 1 - 60*j**3 - 2. -60*j**3 Collect the terms in 13*s + 13*s - 19*s. 7*s Collect the terms in -112*g**2 - 6*g**3 + 112*g**2. -6*g**3 Collect the terms in 145*r**2 + 239*r**2 + 288*r**2. 672*r**2 Collect the terms in 13*a**3 - 632*a**2 + 632*a**2. 13*a**3 Collect the terms in -161*s + 0 - 159*s + 0 + 312*s. -8*s Collect the terms in -2220*n - 2220*n + 4436*n. -4*n Collect the terms in 3*d**3 + 8*d**3 - 4*d**3 + 5*d**3. 12*d**3 Collect the terms in 12*y**2 + 0*y**2 + 2*y**2. 14*y**2 Collect the terms in -2*n + 3210 - 3210. -2*n Collect the terms in 3*z**2 - 58 - 93 + 151. 3*z**2 Collect the terms in -319 - 6*x + 634 - 315. -6*x Collect the terms in 2*d**2 + d**2 + 2*d**2. 5*d**2 Collect the terms in -4*j**3 - 28*j**3 - 1 + 1. -32*j**3 Collect the terms in 77*h**2 + 10 - 22 + 12. 77*h**2 Collect the terms in 17*n**3 + 7*n**2 + 0*n**2 + 9*n**3. 26*n**3 + 7*n**2 Collect the terms in 0*f**2 + 0*f**2 - 2*f**3 - 23*f**3. -25*f**3 Collect the terms in -27*a**2 + 8*a**2 + 5*a**2 + 2*a**2 + 13*a**2. a**2 Collect the terms in 5*i**2 + 0*i**3 + 11*i**2 - 2*i**2 - 6*i**3. -6*i**3 + 14*i**2 Collect the terms in -4*a - 7*a**2 - 25*a + 29*a. -7*a**2 Collect the terms in 1 - 6 + 2*g - 4*g - 5*g. -7*g - 5 Collect the terms in 4*p - p - 6*p. -3*p Collect the terms in 103*i**2 - 16*i**2 - 50*i**2. 37*i**2 Collect the terms in 0*u**2 + 2*u**2 - u**2 - 2*u**2. -u**2 Collect the terms in 6*p**3 + 5*p**3 - p**3 + 17*p**3. 27*p**3 Collect the terms in -377*o**3 + 1148*o**3 - 381*o**3 - 385*o**3. 5*o**3 Collect the terms in 65*v**3 + 131*v**3 - 262*v**3 + 67*v**3. v**3 Collect the terms in -335*l**3 + 12*l - 5*l + 333*l**3. -2*l**3 + 7*l Collect the terms in 2*o**3 - o**3 - 24*o**2 - 3*o**3. -2*o**3 - 24*o**2 Collect the terms in -2*v**3 + 9*v**2 + 21*v**2 - v**3. -3*v**3 + 30*v**2 Collect the terms in 6*m - m + 4*m. 9*m Collect the terms in -2*s**2 - 4*s**2 + s**2 + 5*s**2 + 2*s**2. 2*s**2 Collect the terms in -21*b**3 + 37*b**3 + 32*b**3. 48*b**3 Collect the terms in 13336*i - 26669*i + i**2 - 2*i**2 + 13333*i. -i**2 Collect the terms in -6*m**2 + 6*m + 15*m**2 - m. 9*m**2 + 5*m Collect the terms in -11*a + 1777 - 1777. -11*a Collect the terms in -83*f**2 + 3*f**2 - 29*f**2. -109*f**2 Collect the terms in -22 - 17*v + 22 + 19*v. 2*v Collect the terms in -11*g**2 - 4*g - g + 5*g. -11*g**2 Collect the terms in -2662*y - y**2 + 2662*y. -y**2 Collect the terms in 56*c - 25*c + 59*c**3 - 31*c + 2*c**2. 59*c**3 + 2*c**2 Collect the terms in 9503 - s**2 - 9503. -s**2 Collect the terms in -1 + 4*m + 0 + 0*m - 3*m. m - 1 Collect the terms in 2*g**2 + 3 - 20*g + 0 - 3. 2*g**2 - 20*g Collect the terms in -228*u**2 + 120*u**2 + 115*u**2. 7*u**2 Collect the terms in -29*f**3 - 22*f**3 + 12*f**3 - 20*f**3. -59*f**3 Collect the terms in -117*i**2 + 302*i**2 - 190*i**2. -5*i**2 Collect the terms in -2*r**2 + 7280 - 7280. -2*r**2 Collect the terms in -15*a - 50*a**3 - 44*a**3 + 15*a. -94*a**3 Collect the terms in 35*w - 121*w + 45*w + 44*w. 3*w Collect the terms in -273*q**2 + 51*q**2 - 61*q**2. -283*q**2 Collect the terms in -558294*p + p**3 + 558294*p. p**3 Collect the terms in -16*b**2 + 19*b**3 + 16*b**2 + 14*b**3. 33*b**3 Collect the terms in -7*w**3 - 5*w + 4*w + w. -7*w**3 Collect the terms in t + 2 - 2 - 2 + t. 2*t - 2 Collect the terms in -42*u**2 + 20*u**2 + 23*u**2. u**2 Collect the terms in -3 - 1 + 30*j**2 + 4. 30*j**2 Collect the terms in 92 - 56 - 8*r - 36. -8*r Collect the terms in 8*c**3 + 2 + 2 - 4. 8*c**3 Collect the terms in 7*m - 7*m + 141*m**2. 141*m**2 Collect the terms in 6 + 731*r - 11 - 729*r + 5. 2*r Collect the terms in 19 - 20 - 3*r**2 - 10*r**2. -13*r**2 - 1 Collect the terms in -6*i - 9*i - 14*i + 27*i. -2*i Collect the terms in 11 + 0*s - 2 - 6 + 18*s. 18*s + 3 Collect the terms in 2818 - 21*o**2 - 2818. -21*o**2 Collect the terms in -58*f + 35*f + 45*f. 22*f Collect the terms in -4*r**2 - 826*r + 826*r + 0*r**2. -4*r**2 Collect the terms in 9*y**2 + 15*y**2 - 21*y**2. 3*y**2 Collect the terms in -13*j - 7*j - 8*j + 29*j - 3*j. -2*j Collect the terms in 2378*g**3 - 790*g**3 - 793*g**3 - 792*g**3. 3*g**3 Collect the terms in 5 + 2094*j**2 - 5 + 394*j**2. 2488*j**2 Collect the terms in 17 - 65 + 28 + 20 - f. -f Collect the terms in 55*u**2 - 22*u**2 - 13*u**2 - 21*u**2. -u**2 Collect the terms in -1166*r + 1166*r + 2*r**2 + 0 + 0. 2*r**2 Collect the terms in 3*u - u - 5*u. -3*u Collect the terms in -2*b**3 + 0*b**3 - 50*b**2 - 2*b**3 + 52*b**2. -4*b**3 + 2*b**2 Collect the terms in -382 + 190 + 192 - 16*s**3. -16*s**3 Collect the terms in -1 - 7*b**2 + 1 + 4*b**2 + b**2. -2*b**2 Collect the terms in -12*x**2 + 8*x**2 - 7*x**2. -11*x**2 Collect the terms in 12*t + 8*t - 12*t. 8*t Collect the terms in -2*x**2 + 0*x**2 - 3*x**2. -5*x**2 Collect the terms in 17*m**3 + 0*m**3 + 4*m**2 - 5*m**3. 12*m**3 + 4*m**2 Collect the terms in 108 - 74 - 4*s**2 - 34. -4*s**2 Collect the terms in -15*c + 46*c - c - 12*c. 18*c Collect the terms in 0*n**3 + 16*n**3 - n**3. 15*n**3 Collect the terms in -2*r**2 - 2*r + 4*r**2 + 2*r. 2*r**2 Collect the terms in -w + 29*w**3 - 3 + w. 29*w**3 - 3 Collect the terms in -q**2 - 11*q**3 - q**2 + 2*q**3. -9*q**3 - 2*q**2 Collect the terms in -39*a + 39*a - 3*a**3. -3*a**3 Collect the terms in -5*m + 4*m - 23*m + 2. -24*m + 2 Collect the terms in 1078*h**2 - 55 + 55 - 1068*h**2. 10*h**2 Collect the terms in 7 - 2*l**3 - 5 - 2. -2*l**3 Collect the terms in -299*r - 305*r + 600*r. -4*r Collect the terms in 346*r**2 + 81*r - 81*r. 346*r**2 Collect the terms in 20 - 2*f**2 + 20 + 16 - 56. -2*f**2 Collect the terms in 4*n**3 + 5*n**3 - 12*n**3. -3*n**3 Collect the terms in 11*g**2 + 6*g + 9*g - 2*g**2 + 0*g. 9*g**2 + 15*g Collect the terms in 3*i**3 - i**3 + i**3 + 5*i**3. 8*i**3 Collect the terms in 5766 - 2880 + 9*s**3 + 2*s**3 - 2886. 11*s**3 Collect the terms in 27*w**3 - 21*w**3 - 2*w**3 - 2*w**3. 2*w**3 Collect the terms in -235*k**2 + 235*k**2 + 42*k**3. 42*k**3 Collect the terms in -140*h - 78*h + 216*h. -2*h Collect the terms in -10*n**3 + 0*n**3 - 31*n**3 - 5*n**3. -46*n**3 Collect the terms in -11*p**2 - 5*p**2 + p**2. -15*p**2 Collect the terms in 325*d**2 + 313*d**2 - 639*d**2. -d**2 Collect the terms in 52545*j + 23*j**2 - 52545*j. 23*j**2 Collect the terms in 2*n**3 - n**3 + n**3. 2*n**3 Collect the terms in 6*u**3 - 8*u**3 - 11*u**3. -13*u**3 Collect the terms in 894*k**3 + 870*k**3 - 1759*k**3. 5*k**3 Collect the terms in -4 + 76*i - 80*i + 4. -4*i Collect the terms in -8*h**2 + h**2 + 12 - 9*h**2 + 13*h**2. -3*h**2 + 12 Collect the terms in -19*h**2 - 14*h**2 + 28*h**2. -5*h**2 Collect the terms in 17*h + 4*h - 8*h. 13*h Collect the terms in -1057*m + 8*m**3 - 1057*m + 2114*m. 8*m**3 Collect the terms in -3*z**2 + 14*z - 35*z + 21*z. -3*z**2 Collect the terms in -14 - 30*r**3 + 14. -30*r**3 Collect the terms in 39 - 39 + 2*c**2. 2*c**2 Collect the terms in 10*n**2 + 10*n**2 + n**2. 21*n**2 Collect the terms in 0*g + 0*g + g - 10*g. -9*g Collect the terms in -3*d**2 + 5*d**2 - 3*d**2 + 0*d**2 - 5*d**2. -6*d**2 Collect the terms in 248*h - 145*h - 123*h. -20*h Collect the terms in -802 + 802 + 5*i. 5*i Collect the terms in 6*b + 3*b + 5*b + 28 - 4*b. 10*b + 28 Collect the terms in 50996 - 50996 + u**2. u**2 Collect the terms in -385 + 777 - 392 - 8*o. -8*o Collect the terms in 12
{ "pile_set_name": "DM Mathematics" }
3 (c) -2/5 c Which is the nearest to 1/15? (a) 0.2 (b) -1/3 (c) 4 (d) -5 a What is the nearest to 3 in -2/11, -2/7, 4? 4 What is the closest to -5 in 2, -5/4, -1, 21? -5/4 What is the nearest to -0.1 in 0.03, 3, -0.1, 2/7? -0.1 What is the nearest to 20 in 0, 4, 1, -0.2? 4 What is the closest to -1 in 4.05, -1/3, -5? -1/3 Which is the nearest to -1? (a) 3 (b) 2/11 (c) -3/16 (d) 0.3 c Which is the closest to 1? (a) -1.2 (b) 27 (c) -3 a What is the nearest to -1/2 in 0.2, -4, 9/4, -1/6? -1/6 Which is the nearest to 0? (a) 1 (b) 1/6 (c) -0.02 c What is the closest to 2/7 in -5, -225, 0.1, -4? 0.1 What is the nearest to 0 in 0.1, -0.4, -0.25, -2? 0.1 What is the nearest to -1 in 4, -2/83, 8? -2/83 Which is the closest to 1? (a) 1/57 (b) 0.1 (c) -2 (d) -5 b Which is the nearest to 0.2? (a) -5/2 (b) -3/4 (c) -1/4 (d) 0.1 d What is the nearest to -0.1 in 0.5, 8, -3? 0.5 What is the nearest to 2/25 in -9, 1, -1/6, 1/6? 1/6 What is the nearest to 2/5 in 2, 1/2, 2/3, -8? 1/2 Which is the closest to 2? (a) -1 (b) -3 (c) 0.05 c What is the closest to -3/7 in 5, 1/5, -6, -1? -1 Which is the nearest to 4/9? (a) 2/11 (b) -4 (c) 0.4 (d) -4/5 c Which is the closest to -1? (a) -1 (b) 0.66 (c) -0.5 (d) 3 a Which is the closest to 1? (a) 0.3 (b) -1/3 (c) 2 a Which is the nearest to 3? (a) -1/4 (b) -45 (c) 0 (d) -0.2 c What is the nearest to -0.5 in -0.1, -8, -6, 0? -0.1 Which is the nearest to 0.1? (a) -0.4 (b) 2/3 (c) -98 (d) 2 a Which is the closest to -1? (a) -0.3 (b) -2/3 (c) 6 b What is the nearest to -2 in -33, 2, 4? 2 What is the nearest to 2 in -3/8, -0.07, -5? -0.07 What is the nearest to -2/33 in -0.5, -2, -0.2, 0.3? -0.2 What is the closest to 1/4 in 66, 0, -18? 0 What is the closest to 0 in 0, -248, 2/3, 0.1? 0 Which is the closest to 3? (a) 3/4 (b) 2 (c) 5 b Which is the nearest to -1.2? (a) -0.3 (b) -0.07 (c) 3 a Which is the closest to -2/3? (a) 1/106 (b) 3/8 (c) 0 (d) 0.4 c Which is the nearest to 8? (a) 11 (b) 1/2 (c) 0 a Which is the nearest to -2? (a) 7/15 (b) 4 (c) 0 (d) -0.3 d Which is the closest to -2? (a) -6/17 (b) 0.4 (c) -0.2 a What is the closest to -14 in 2/9, -5, 2? -5 What is the nearest to 3 in 1, -6, 0.2, 0? 1 What is the closest to 0 in -3, -0.4, 0.2? 0.2 Which is the closest to -2/7? (a) 5 (b) -4 (c) -5 (d) 0.1 d What is the nearest to 1/4 in 0, -13, -555? 0 Which is the nearest to 0.1? (a) -1 (b) 1 (c) -0.0438 c What is the nearest to 0.1 in 0.3, 201, -0.4, -4? 0.3 What is the nearest to -1 in -5, -1, 3/4, -4? -1 What is the closest to 8 in 0, 5, 0.2, 1/10? 5 Which is the nearest to -1/8? (a) 16 (b) -0.1 (c) 2/3 b Which is the nearest to 0? (a) -5 (b) 750 (c) -2 c Which is the nearest to 0.19? (a) 2/3 (b) 0 (c) -2/5 (d) 0.1 d Which is the closest to -3/7? (a) 1.5 (b) -32 (c) 0.2 c What is the nearest to 0 in 1, -0.541, 0.3? 0.3 Which is the nearest to 1? (a) 0.09 (b) -0.2 (c) -0.3 a Which is the nearest to -1? (a) 0.5 (b) 3 (c) -4/7 c What is the closest to 52 in 1/3, -4, 2/7? 1/3 What is the nearest to 0.1 in 0.3, -1.8, 5/2? 0.3 Which is the nearest to -1/4? (a) 1/10 (b) -1 (c) 0.4 a Which is the closest to 1? (a) -146 (b) -4 (c) 0.01 (d) -2 c What is the nearest to 0.1 in 7, 11/3, 5? 11/3 What is the nearest to 1/6 in 5, 9/5, -0.5, 0.2? 0.2 Which is the closest to -2/9? (a) -7/8 (b) -49 (c) 0.4 c Which is the closest to -0.2? (a) 2/13 (b) -0.5 (c) -3 b Which is the closest to -19? (a) 0 (b) -1/4 (c) -10 (d) 0.4 c Which is the nearest to -2? (a) -0.4 (b) -2 (c) 2/3 (d) 43 b What is the nearest to 6 in 0.1, -0.08, -1/4, 0? 0.1 Which is the nearest to -12? (a) 8 (b) 2/11 (c) -0.1 c What is the closest to -1 in 7, 1/4, 85? 1/4 Which is the nearest to -4/3? (a) -1/9 (b) -4 (c) 0 (d) 2/3 a What is the nearest to -5/3 in 2/11, -30, 3? 2/11 Which is the nearest to 0? (a) 4 (b) 0.26 (c) -0.8 b Which is the closest to 1? (a) -2/9 (b) 4 (c) 0.4 (d) 3/13 c Which is the closest to -4? (a) -3/2 (b) -3/5 (c) -4/31 (d) -3/8 a Which is the nearest to -0.1? (a) 5/2 (b) 0.1 (c) -0.6 b What is the closest to -1 in 13, -28, 5? 5 Which is the nearest to -1? (a) 5 (b) -30 (c) 0.3 (d) -0.5 d Which is the closest to -2/3? (a) -2/9 (b) 25 (c) -1 c Which is the nearest to 2? (a) 3/7 (b) 3.23 (c) -5/3 b What is the nearest to -2/7 in 0, -2/5, 5? -2/5 Which is the closest to -1? (a) 0 (b) -5 (c) 0.4 a What is the nearest to 12 in -0.3, -2, -44, -0.4? -0.3 Which is the closest to -189? (a) 0.4 (b) -2 (c) -1/5 b Which is the nearest to -0.3? (a) 0.5 (b) 2/9 (c) -7 b Which is the closest to -104? (a) 0 (b) 2/7 (c) 1 a What is the closest to 3 in 133, -2/11, 4? 4 Which is the closest to 2? (a) -5 (b) -1/3 (c) 25 (d) 5 b What is the nearest to 0.3 in 61, -1, -5? -1 What is the closest to -0.05 in 3, -26, -4? 3 Which is the closest to 1? (a) 3 (b) 15 (c) -3 a What is the nearest to -2 in -5, 1.5, 4/7? 4/7 Which is the closest to -1/9? (a) 1 (b) 9/7 (c) 2/31 c What is the closest to -3.31 in -3/7, 0.4, -7/2? -7/2 Which is the closest to 1? (a) -766 (b) 4 (c) -2/9 c Which is the nearest to 75? (a) 3 (b) 2 (c) -0.1 (d) -2 a Which is the nearest to 6? (a) -4 (b) -0.8 (c) -2/17 c Which is the closest to 1/3? (a) 121 (b) -0.2 (c) 4 (d) -1 b Which is the nearest to 0.1? (a) 106 (b) 1 (c) 15 b What is the nearest to -2/7 in 7, -2/5, 9, 3/4? -2/5 What is the closest to 0.1 in 0.4, 49, 1? 0.4 What is the closest to -4/3 in -6/11, 0.4, 3, -0.3? -6/11 Which is the closest to 0? (a) 1/10 (b) 0.028 (c) 1/11 b Which is the nearest to -4? (a) 3 (b) -1/2 (c) -1 (d) 4 c What is the nearest to -1.1 in -2/53, 3/8, 3/5? -2/53 Which is the closest to 0.5? (a) 2 (b) -2/5 (c) 1/5 (d) 8 c What is the nearest to -0.01 in 2, 1/8, 2/21? 2/21 Which is the nearest to -4? (a) -0.06 (b) 5 (c) 0.05 a What is the nearest to 0 in -5, 0, -3/532? 0 Which is the nearest to -0.4? (a) 5 (b) -1 (c) 2 (d) 22 b What is the closest to -2/7 in -1/4, 0.2, 510? -1/4 What is the closest to 16 in -0.3, 2, 4/13? 2 Which is the nearest to 1? (a) 5 (b) -103 (c) -2/3 c Which is the nearest to 0.14? (a) -2/7 (b) 1 (c) -16 a What is the closest to -13 in 5, -4/7, -2, 10? -2 Which is the nearest to -1/4? (a) -5 (b) -2/7 (c) -3 b What is the closest to -2/7 in -2/13, -0.2, -1241? -0.2 Which is the closest to -2/39? (a) 0.4 (b) -1 (c) -3 (d) -2/29 d Which is the closest to 9? (a) 2/15 (b) 2 (c) -2 (d) -2/7 b Which is the nearest to -0.1? (a) 2/7 (b) -2/9 (c) 1 (d) 0.0278 b What is the nearest to -2 in -0.4, -0.3, -0.2, 1.08? -0.4 Which is the nearest to -0.1? (a) -98 (b) -1/2 (c) 0.5 (d) 4 b What is the closest to -1 in 0.3, 2/13, -2/35, 2? -2/35 What is the closest to -0.16 in -2/3, -5, -6, -0.4? -0.4 What is the nearest to 33 in 3/4, 1/8, 2/9? 3/4 Which is the closest to -0.1? (a) -0.15 (b) -1 (c) 1/8 a What is the closest to 7.1 in -3, -2/15, -2? -2/15 What is the nearest to -3.12 in -0.1, -5, 3, -1/2? -5 Which is the nearest to 0.4? (a) -2/3 (b) 5 (c) -0.05 (d) -5 c Which is the nearest to 1? (a) -114 (b) 29 (c) 3/7 c What is the closest to -1 in -3/4, 1/3, -0.2, 7? -3/4 Which is the nearest to 0? (a) -9 (b) 2/3 (c) -1/3 c Which is the closest to 2/3? (a) 2/13 (b) 69 (c) 1 c What is the nearest to 0.04 in -2/13, -3/4, -2, -1? -2/13 Which is the closest to 0? (a) -2 (b) 3/5 (c) 4 (d) 48 b Which is the nearest to 3? (a) -4 (b) -26 (c) 0.1 c What is the nearest to 6 in 19, -0.5, 0, -1? 0 What is the closest to -1 in -1/2, 5, 1/77, -2? -1/2 Which is the nearest to -0.1? (a) 0.3 (b) -2 (c) -1/231 c What is the nearest to -9 in -0.1, -1, 2/3? -1 Which is the nearest to 0? (a) 0.22 (b) -2/7 (c) 2 (d) 4 a Which is the closest to 0.1714? (a) 0.1 (b) -2 (c) 2/25 a What is the nearest to -8 in -4/9, -0.3, -0.4, -1/4? -4/9 What is the closest to 2/3 in -3/7, -1/9, 5? -1/9 What is the nearest to 20 in 0.5, 4, -2/19, -3? 4 Which is the closest to -4/11? (a) 341/5 (b) 1 (c) -5 b Which is the nearest to 36? (a) -0.5 (b) -0.2 (c) 0.1 c What is the closest to -3/4 in -5/2, 1/4, 191? 1/4 Which is the closest to -2/5? (a) -2/1895 (b) 2/5 (c) 2 a Which is the neare
{ "pile_set_name": "DM Mathematics" }
for c. 2 Suppose 2*a + 484 = 304. Let c be 32/15 + 12/a. Solve 0 = -0*d - c*d + 2 for d. 1 Let h = 34607 - 34607. Let c = 18 + -12. Solve -c*x + 10 + 2 = h for x. 2 Let a(j) = 5*j + 5*j**2 - 3 + 3*j - 6*j**2 - 8. Let p be a(5). Suppose -2*t = -5*r + r + p, -5*r = 4*t - 18. Solve -5*q = -3 - r for q. 1 Let a(u) = u**3 - 27*u**2 + 12*u - 214. Let t be a(27). Solve -108*p - 6 = -t*p for p. 3 Suppose -3*l - 506*p + 505*p + 87 = 0, -2*l + 4*p + 72 = 0. Solve 0 = -l*w + 52 + 98 for w. 5 Let f be 3 - (4 + 0 + -5). Suppose 2*m + 6 = 0, 18*i - 20*i + 12 = -f*m. Solve -3*b = 3 - i for b. -1 Suppose 11*q + 15*q - 348 - 822 = 0. Solve 160 = -13*f + q*f for f. 5 Let w(u) = -u**2 - 4*u - 3. Let n be w(-3). Suppose n = -4*x - 5*h + 96, 3*x + 6*h = h + 67. Let j = x - 27. Solve z - j = -0 for z. 2 Let t be (-1 + -3 + 3)*-5. Let w = -56 - -63. Solve -t*k - w - 8 = 0 for k. -3 Suppose -13*v + 9*v - 1156 = -3*x, 4*x - 1490 = -2*v. Solve 340 = 18*d + x for d. -2 Suppose -43*h - 16 = -51*h. Suppose -h*l = -9*l + 14. Solve k = -0 + l for k. 2 Let w = -27733 + 27736. Let h = -35 - -55. Solve w*t + h = 23 for t. 1 Let z = -2675 + 2675. Solve -17*i + 3 + 14 = z for i. 1 Suppose 3*a + 8 = m, 3*a - m + 13 = -5*m. Let o(v) = -37*v - 66. Let y be o(a). Solve y = 3*q + 30 for q. 5 Let s(l) = -2*l**2 - 21*l - 9. Let r be s(-11). Let q(a) = a**2 + 18*a - 22. Let h be q(r). Let w = h - 16. Solve 0 = -w*c - 2*c + 8 for c. 2 Let r = 83 - -244. Suppose -4*l = -427 + r. Solve -28 + l = -o for o. 3 Let d be 4/(((-85)/35)/(-17)). Solve 41*y + d = 13*y for y. -1 Let h(p) = -p**3 - p**2 + 6*p - 27. Let b be h(-6). Solve 55*d - b = 68*d for d. -9 Let l = 2017 + -1806. Solve 205*o + 30 = l*o for o. 5 Suppose -342*d + 621*d = 303*d. Solve d = -19*b - b + 100 for b. 5 Suppose 25*q - 216 = -33*q + 16. Solve -38 = q*t - 30 for t. -2 Let f(g) = -2*g**3 - 114*g**2 - 13*g - 607. Let u be f(-57). Solve 80*q - 106 - u = 0 for q. 3 Let f(h) = -563*h - 3920. Let l be f(-7). Solve 16*n - l = 19*n for n. -7 Suppose -70*n + 68*n - 12 = 0. Let v be 184/69 - n/(-9). Solve 0*c + v = -2*c for c. -1 Let v = 86 + 21. Let b = -99 + v. Solve 4*i = -0*i - b for i. -2 Suppose -324*a + 70*a = -2540. Solve -a*g - 397 = -427 for g. 3 Let t(y) = y**3 + 4*y**2 - 15*y - 35. Let a be t(-2). Suppose 4*k + 44 = 4*c, 4*c - a*k - 47 + 4 = 0. Solve 7*f = c*f - 9 for f. 3 Suppose -39*k + 44*k - 3080 = -51*k. Solve 36 = -13*j - k for j. -7 Let r(s) = -3*s - 25. Let c be r(-11). Suppose 27 = k - 3*l, -l - 32 - 33 = -5*k. Let i = c + k. Solve 4*h + h = -i for h. -4 Suppose -2*z + 8 = 2*v, 4 = z - 0*v - v. Suppose 6*q - z*q - 5*q = 0. Solve -3*m + 0*m - 12 = q for m. -4 Let t be -1*0/((-4)/(-2)). Suppose 59 = o - 2289*z + 2285*z, 4*o + z - 15 = 0. Solve t*s - 21 = -o*s for s. 3 Let t(n) = 13*n**3 - 4*n**2 - 16*n + 17. Let o be t(1). Solve 0 = o*s - 22*s - 48 for s. -4 Suppose -66 = -4*d - 2*r, -4*r + 52 = 3*d - 5. Solve 3*w = -12*w - d for w. -1 Let k be (-5 - (3 - 4))*195/(-60). Solve -57 = 22*q - k for q. -2 Let n be -2*(0 - (2 - 0)). Let q(b) = -574*b - 6311. Let c be q(-11). Solve c*j - n*j + 3 = 0 for j. 3 Let t = 11057 + -11048. Solve 13 = -t*x - 23 for x. -4 Suppose -5*c + 3*p = -9*c + 535, -c = -p - 118. Solve 0 = 133*r - c*r - 6 for r. 1 Suppose 67*k - 1273 = -201. Solve 0 = 30*l - k - 14 for l. 1 Let u = 126 - -178. Suppose 9*f + 10*f = u. Solve 20*c - 12*c + f = 0 for c. -2 Let n(f) = 495*f - 1448. Let y be n(3). Solve -40*u = -y*u for u. 0 Suppose 16 = 3*b - 0*b - 2*q, 2*b + q = 6. Suppose 0 = 52*i - 28*i + 144. Let m be i/(-5)*375/75. Solve -2*z - b = m for z. -5 Let b(a) = -4*a**3 - 6*a**3 + 0*a**3 + 2*a**3 - 5*a**2. Let d be b(-1). Solve -d*z - z = 4 for z. -1 Suppose -2*k + 0*g + 20 = 4*g, 3*g - 8 = 2*k. Let z(r) = -4*r**2 - 2*r + 1. Let l be z(k). Let p = 39 + l. Solve -6*q = -q - p for q. 4 Suppose 3*o + 3*l - 33 = l, o - 4*l = 25. Solve -o*r + 16 - 3 = 0 for r. 1 Suppose j = -3*b, 30*b + 4*j = 27*b. Solve b = 9*l + l - 20 for l. 2 Let z be 3/33 - 39400/220. Let b = -170 - z. Solve -b*o + 3*o = 30 for o. -5 Let t be 4*(1/3 + (-10 - (-1250)/120)). Let b(o) = o**3 - 3*o**2 - 2*o - 2. Let d be b(4). Let m be d/15 - (-16)/10. Solve -11 + t = -m*p for p. 4 Suppose 6*w - 8*w + 28 = 0. Suppose 0 = 3*y, -w - 4 = -3*p + 3*y. Suppose -9*a + 30 = p*a. Solve -7*k = -a*k - 25 for k. 5 Suppose 3*n + 69 - 15 = 0. Let t = n + 20. Let p be 3*2*1/t. Solve 3 = -p*b - 3 for b. -2 Suppose 12*q - 54 = 14*q. Let p = q + 29. Let x(o) = -o**2 + 6*o - 8. Let n be x(p). Solve 3 = z - n*z for z. 3 Let u = -346 + 349. Suppose u*d + 8 = 4*p, -4*d = -2*d - p + 2. Solve 0 = -w - d*w for w. 0 Let y(a) = 2*a**2 + 766*a + 1531. Let v be y(-2). Solve 0 = -7*t + 28 - v for t. 3 Suppose 4*w + 6 - 19 = -i, 0 = -4*w + 4. Suppose -v = -4*v + i. Suppose 0 = -5*p - 2*m + 93, 2*p - 72 = -2*p - m. Solve -v = 5*r + p for r. -4 Suppose 4*j + 70 = 2*w + w, 0 = -3*j + 6. Let m(y) = 2*y**2 - 52*y + 3. Let b be m(w). Let p be 3*(-3)/b + 5. Solve p = h - 0 for h. 2 Let j = -9894 + 9897. Solve j*o = -14*o - 17 for o. -1 Let d(p) be the third derivative of p**5/60 - 13*p**4/24 + 9*p**3/2 + 20*p**2. Let h be d(2). Solve -2*w - h = 3*w for w. -1 Suppose -7*h + 30 = -6*h. Suppose -20 = -2*z + 2*q, -3*z + 5 = -4*q - h. Solve i - z = -9 for i. -4 Let k = -4358 + 4373. Solve o + k = 4*o for o. 5 Let i be ((-88)/48 - -2)/(1/30). Suppose h - 3*u + u = 11, 5*h - 35 = 5*u. Let d be (-10)/25 + 92/5. Solve d = -i*f + h for f. -3 Let f(x) = -3*x**2 - 46*x + 27. Let c be f(-16). Let w be (-2*2)/((-3)/(-2 - c)). Solve 15*l = 11*l + w for l. 1 Let q(s) = 4 - 2 + s + 6. Let c = 26 - 32. Let g be q(c). Solve -g = n - 2*n for n. 2 Suppose 0 = -5*u - 48 + 58. Suppose 3*f = x + 3, 5*x = 10*x + u*f - 36. Solve x*t - 4 = 2*t for t. 1 Let t be 2 - 21/9 - (-43)/3. Let v = 24 + t. Let g = v - 32. Solve 3*o - o = -g for o. -3 Let x be ((-4)/10)/((-2)/10). Let b(c) be the second derivative of c**4/6 - 2*c**3/3 + 2*c**2 + 1489*c. Let u be b(x). Solve 2 = u*k - 3*k for k. 2 Let u be (2/(-5))/(1/(2 + -7)). Suppose p - 2*f = 19 - 5, 2 = -u*p - 2*f. Solve -3*d - p*d = -21 for d. 3 Suppose 37*b - 34*b - 78 = -4*p, 3*p - 73 = 5*b. Solve 0 = p*s + 25*s - 184 for s. 4 Let u(o) = -o**2 - 3*o - 24. Let z be u(11). Let r = -178 - z. Solve 3*p - 6*p - 9 = r for p. -3 Let j = -1493 + 1500. Solve j*c - 3 = 11 for c. 2 Let j be ((-110)/10 - -4) + (-2 - -59). Solve -46*d + j*d = -12 for d. -3 Let z(h) = -12*h + 87. Let b be z(5). Let j(u) = -9*u + 246. Let x be j(b). Solve x*g + 4 = g for g. -2 Let s be -9*(-2 - (-20)/12). Let k be ((-5)/(-15)*-3)/1. Let a be k/(-3)*(-1 - -7). Solve -a = -t + s for t. 5 Let s = 2023 + -2002. Suppose 2*w = 8, 0 = -3*b - 4*w + 28 - 3. Solve -s*a + 18*a - b = 0 for a. -1 Let d = -2439 + 2399. Suppose 5*w - 30 = 4*l + 215, 4*w - 20 = 0. Let p = d - l. Solve -2*k - p = k for k. -5 Let n(f) be the first derivative of f**3/3 + 3*f**2/2 - 4*f - 3. Let b be n(-4). Suppose 0 = 9*g - 15*g + 24. Solve u + b = g for u. 4 Let c(r) = -50*r - 244. Let f be c(-5). Suppose 4*s = 2*p + 160, -2*s + 2*p = -f*s + 160. Solve 16*i - 8*i = s for i. 5 Suppose -3*b = -3*n - 294, 404 = 4*b - 111*n + 113*n. Solve 27*v - b = 2*v for v. 4 Let v(r) = -3*r**2 + 96*r - 336. Let n be v(28). Solve n = -27*x + 19 + 170 for x. 7 Suppose 11*y - 69 = 39*y - 2757. Solve 33*x - 9*x = y for x. 4 Suppose -a = -42*g + 45*g - 11, 0 = -3*a + 2*g. Let y be (0 - a)*1 - (-100 + 89). Solve y = -2*c - c for c. -3 Let u = -3 + -163. Let d = u - -174. Solve 3*f - d - 4 = 0 for f. 4 Let r(x) = x**2 - 9*x - 4. Let g(v) = v + 1. Let n(q) = -5*g(q) - r(q). Let k be n(1). Suppose k*c = -c + 4*c. Solve 4*s = -c*s for s. 0 Let f(z) = z**3 - 45*z**2 - 93*z + 54. Let s be f(47). Solve -6 + s = 19*p for p. 5 Let g(t) = t**2 - 15*t - 86. Let j be g(-6). Let x be j*(-6)/(-36) + (-4)/6. Solve -x*s - 11 = 7 for s. -3 Let b be ((-125)/(-4 - 1))/((-23)/(-184)). Solve -b = 10*u - 35*u for u. 8 Let u = 2204 + -2192. Suppose 110 = 4*x + r - 139, 3*x = -2*r + 188. Solve -58*j - u = -x*j for j. 3 Let d(g) = -g - 39. Let z be d(0). Let i = 40 + z. Let y be (-2 + 0)/(1 - (i - -1)). Solve -2*x - y = -6 for x. 2 Suppose 3*c = 5*h, 6*c + h = 5*c. Solve -6*w + 73 - 43 = c for w. 5 Let n = 129 + -125. Suppose 0 = n*y - 7*y + 9. Solve 2*v - 15 = -y
{ "pile_set_name": "DM Mathematics" }
prime? False Let k = -115 - -118. Is (38787/(-42))/(k/(-6)) composite? False Let n = 34640 - 15795. Is n prime? False Suppose 0*l - 1640 = -c - l, -l = -3. Is c prime? True Suppose -2*a - 11*t + 13*t = -600438, 9*a - 2701995 = -3*t. Is a a composite number? False Let y = 23058 + -10015. Is y a prime number? True Suppose 42*f - 34*f - 2481352 = 0. Is f prime? True Let b = 424734 - 290317. Is b composite? False Suppose -85 - 62 = -21*n. Is (n + (-8 - -7754))/1 a prime number? True Let g(s) = 4*s - 19*s**2 - 8*s + s + 6 - 61*s**2. Let w be g(-4). Let d = -561 - w. Is d a prime number? True Suppose -2*h - 6377 = -3*n, 0 = 5*n - 5*h - 2173 - 8452. Let o = 5593 - n. Is o a prime number? False Let q(i) = 49*i + 4. Let s be q(-5). Let b = 2602 + -1434. Let n = b - s. Is n a prime number? True Suppose l + c - 395339 + 92859 = 0, 4*l - c - 1209935 = 0. Is l a composite number? False Let p = -19128 + 48961. Is p a composite number? False Suppose 0 = 5*s + 4*g - 21, -3 + 4 = -g. Suppose -5*u = q - 853, -4*q + s*u = 2*u - 3458. Is q composite? False Suppose 29 + 5 = x. Suppose -3*t + 375 = -8*t. Let z = x - t. Is z a prime number? True Let h = 18 + -20. Suppose -11387 = 2*o + 10003. Is o/(-10) - (1 + h/4) composite? False Let c = 89 - 73. Suppose 9*x - c - 2 = 0. Is (-19746)/(-18)*(-1 + x) a composite number? False Is 33/33 + 5/(10/26708) prime? False Suppose -3*w = 12, -m + 2*w = -0*m + 2686. Let l = 2155 - m. Is l composite? True Let r = -44646 + 73643. Is r a composite number? True Let b(w) = 16 - 16 - 3*w + 7 + 71. Let s be b(28). Is 1 - ((-829)/6 - 1/s) a composite number? False Suppose 5*w - 7 = o, 0 = -10*o + 15*o - 15. Suppose 0 = 3*q - 2*i + 7*i - 32403, 4*i - 21602 = -w*q. Is q a prime number? False Suppose 0 = 5*d - 2*o - 272411, 2*d = 5*d - 4*o - 163455. Suppose -2*x + 4*l + 27258 = 0, 0 = -3*x - x + l + d. Is x prime? True Suppose 34*j = 32*j + 4. Suppose 0 = -g - x, 0 = 2*g - 3*x - 13 - j. Suppose -4*y + 223 = -g*y. Is y composite? False Suppose 1169*n - 1888504 = 1161*n. Is n composite? False Let p(c) = -776*c**3 - 6*c**2 + 1. Let j be p(-2). Let u = j - 2344. Is u prime? False Let k(m) = 31060*m**2 - m - 26. Is k(3) a composite number? False Suppose -10*b = 5*q - 6*b - 27, 2*q = -3*b + 15. Suppose q*y = -5*y + 87784. Is y prime? True Let g(k) = k**3 - 6*k**2 - 4. Let q be g(6). Is -3 + (-9480)/(-9) + q/3 a prime number? True Let i = 449515 + -316598. Is i composite? True Let z be 4896/(-66) + -1*(-4)/22. Let n = 74 + z. Suppose n = 7*o - 11*o + 3688. Is o composite? True Let z = -1685805 - -2432366. Is z composite? False Suppose 52137890 = 216*x - 17019046. Is x a composite number? True Let a be (-7)/28 + (66/8 - 3). Suppose -a*v + d = -60910, 29*v - 3*d = 27*v + 24377. Is v prime? False Is ((-1)/(9/(-753)))/((-50)/(-1650)) prime? False Let g = -11470 - -21189. Is g a composite number? False Let q(n) = n**3 - 20*n**2 + 17*n + 42. Let t be q(19). Suppose 4*m - 7359 = 5*k, -2*m + 711 + 2967 = -t*k. Is m prime? False Suppose 0 = 5*d - 3*n - 712714, -2*n + 91482 + 478676 = 4*d. Suppose -32*r + d = -25*r. Is r prime? False Suppose 1466 + 1575 = n. Let o = n - 462. Is o a composite number? False Is (-83855568)/(-912) - (-4)/38 composite? True Let j be (-2)/4*(3 - 3). Let t be j/(3/(-3)) - -2. Suppose -t*i + 133 = 2*s - 83, -5*i = -s - 558. Is i a composite number? True Let p(u) = u**2 - 8*u - 17. Suppose 0*c = -4*c + 40. Let w be p(c). Is 3/(-15) + (w - 1524/(-20)) composite? False Let g(w) = -8*w**3 - 139*w**2 - 80*w - 23. Is g(-38) prime? False Let u(v) = v**3 - 11*v**2 + 6*v - 19. Suppose -4*s - q + 68 + 1 = 0, 65 = 4*s - 3*q. Suppose -3*h + 22 = -s. Is u(h) a prime number? True Let u(i) = -2*i**3 - 64*i**2 + 177*i + 310. Is u(-51) composite? False Is (22 - (-23 - -43))*(-478694)/(-4) prime? True Suppose 19 = -b - 5*t, -2*b + t = -0*t - 6. Suppose -3*m - 2*j + 10 = 0, 0 = -4*m + 5*m - j. Is 111*m/3*b a composite number? True Suppose -2*t - 3 = -4*q + 3*t, -4*t + 8 = 2*q. Suppose -495 = 5*l - 3*w - 29094, -q*l = 2*w - 11446. Is l a prime number? False Let h be 323/76 + -3*(-2)/8. Suppose -h*p + 10*p - 5 = 0. Is 1/(1*p/409) a composite number? False Let o = -1493 + 10324. Let a = o - 3084. Is a a composite number? True Let h be 6*-6*(-2)/9. Let i(k) = 5*k**3 + 486*k**2 - 488*k + 1. Let w be i(1). Is ((-94)/w*1)/(h/(-272)) a composite number? True Suppose -4*a + 6*y - 20983 = 5*y, 0 = -5*a + 5*y - 26225. Let u = a + 17149. Is u composite? False Suppose 12 = -2*h + 5*v + 10, -38 = -2*h - 5*v. Is 65818/(-8)*h/(81/(-36)) composite? False Suppose 0 = 5*s - 4*z + 8*z - 5595439, 6*s - 6714542 = -z. Is s composite? False Is (4005452/(-176) - -23)/((-1)/4*1) a prime number? False Suppose -2*g - 253866 - 554652 = -6*i, -134753 = -i + g. Is i a prime number? True Suppose -4*s + 5*v = -7195, 5*s + 3*v + 1353 - 10356 = 0. Let w = s - 649. Is w composite? False Suppose 3*l = 9, -4*g + 1734*l - 1733*l = -127825. Is g composite? False Let j be ((-39)/(-36) + (-14)/168)*7. Suppose -5*i + i + 112 = 0. Suppose -j - i = -g. Is g a prime number? False Let i(b) = -3871*b**3 - 8*b**2 - 25*b - 47. Is i(-4) prime? False Let q = -3252 - -1204. Let r = 4021 + q. Is r composite? False Suppose 3*k + 7*q = 4*q - 483, -4*q = k + 152. Let o be 183*49/84*4. Let b = k + o. Is b composite? False Let m(h) = h**2 - 55*h - 364. Let v be m(61). Let n(i) = 369*i**2 - 2*i + 5. Let p be n(4). Let k = p + v. Is k prime? True Suppose 2*r + 4*a - 162 = 0, 217 - 34 = 2*r - 3*a. Let v = r - -744. Is v a composite number? True Let a be ((-9702)/(-55))/9 - 2/(-5). Suppose a*m - 5569 = 214491. Is m a composite number? False Is (-2 - -30)*((-12499891)/76)/(-53) a composite number? True Let k(d) = d**2 - 25. Let n be k(21). Is (-2 - -3)*(-1 + n*22) prime? True Let p(n) = n**3 + n**2 - 6*n + 8. Let g be p(3). Let t(w) = w + 3*w**3 + 4*w + 0*w**3 - 1 - 4*w**3 + g*w**2. Is t(21) a prime number? True Let t = -43505 - -142264. Is t a prime number? False Let r(p) = -p**3 - 14*p**2 - 13*p + 3. Let m be r(-13). Let y(i) = 2*i**2 + 198*i**3 - 193*i**3 + i + m - 9. Is y(5) composite? True Suppose c - 19 = -3*o, 2*o - 3*o - 5*c + 25 = 0. Let f = -26 + o. Let n = f + 54. Is n composite? True Let b(m) = -7*m**3 - 104*m**2 - 32*m - 68. Is b(-21) composite? True Let t(l) = -l**3 - 3*l**2 + 13*l + 28. Let z be t(-2). Is (-3239)/z - (510/(-20))/17 a composite number? False Suppose 143 = 8*r + 3*r. Suppose 47930 + 21035 = r*w. Is w a prime number? False Let a(p) = 49*p**2 + 3*p - 41. Let y be a(10). Suppose -4*u - u + y = 2*s, u + 9745 = 4*s. Is s composite? False Suppose 2*g - 5 = 15. Suppose -8*s + 1894 = -g*s. Let d = -208 - s. Is d prime? True Let d = -322 - -469. Is (d/28)/((-6)/(-7768)) prime? False Let a = 0 - -2. Let f be (-13)/(-6) - a - (-12094)/12. Let t = f + -187. Is t a composite number? False Suppose -4*z + i + 6 = 0, 0 = 2*z + 3*z + 4*i + 3. Is z/9 - (-2932)/18 prime? True Suppose 0 = 28*u - 32*u + 4896. Let q be (u/30)/(3/30). Suppose -4*w = -644 - q. Is w a prime number? True Let u(q) = -2*q**2 + 22*q - 7. Let v be u(10). Let r = -20 + v. Is ((-1)/(3/1))/(r/13083) a composite number? True Suppose 0 = 216*g - 22*g + 999 - 223. Let t(u) = 4 + 9 - 35*u + 4. Is t(g) prime? True Let o(k) = -69*k + 13. Let q(b) = 137*b - 26. Let m(p) = -11*o(p) - 6*q(p). Let x be m(6). Let t = x - -622. Is t composite? False Let n be (-9 + 7)*(-2 + 1). Suppose 2 = -p + d, 5*p - 3 = n*d - 4. Is (1/p)/((-19)/(-12293)) prime? True Is ((-22584354)/819)/((-8)/84) composite? False Suppose 5*t = -2*b + 28024 + 20320, 3*t + 48360 = 2*b. Is b a composite number? True Suppose -121*t + 119*t + 303082 = 0. Is t prime? False Let k = 264 - 260. Suppose 3*a = 8*v - 3*v - 7414, 2*v - k*a = 2974. Is v composite? False Suppose 0 = -3*g - 5*g + 360. Let z = -41 + g. Let y(f) = f**3 + f**2 - 7*f - 3. Is y(z) prime? False Suppose -h = -l - 10, -3*l - h = -3*h + 29. Let g(a) = 19 + 10*a**2 - 34 + a**3 + 30 + 10*a. Is g(l) prime? False Suppose -283*v + 290*v = 285103. Suppose -5*k - 17*f + 19*f + v = 0, -4*k = f - 32591. Is k prime? True Let o(a) = -199*a - 21. Suppose 6*j = 5*j - 9. Let c be ((-81)/6)/j*64/(-6). Is o(c) a prime number? True Suppose 11*t = -59191 + 21780. Let z = 2988 - t. Is z composite? False Let i = 160604 + 11499.
{ "pile_set_name": "DM Mathematics" }
ters. 5248247000 How many months are there in sixty-seven thirds of a year? 268 How many years are there in 47/4 of a century? 1175 What is three fifths of a micrometer in nanometers? 600 Convert 2291.918 micrograms to nanograms. 2291918 What is three fifths of a litre in millilitres? 600 How many grams are there in 0.6571119 micrograms? 0.0000006571119 What is 670622.1 litres in millilitres? 670622100 How many months are there in 23/3 of a decade? 920 What is 63.00287 tonnes in micrograms? 63002870000000 What is twenty-seven fifths of a kilogram in grams? 5400 What is 3/40 of a litre in millilitres? 75 How many centuries are there in three fifths of a millennium? 6 What is 6.40274 micrograms in grams? 0.00000640274 How many micrograms are there in five eighths of a milligram? 625 What is 7/2 of a meter in centimeters? 350 What is 11/10 of a kilometer in meters? 1100 How many years are there in 96644.46 centuries? 9664446 How many millennia are there in 7.607926 decades? 0.07607926 How many months are there in 1/5 of a millennium? 2400 What is 0.1489431nm in meters? 0.0000000001489431 Convert 58.55072l to millilitres. 58550.72 How many hours are there in five quarters of a day? 30 What is 2/9 of a day in seconds? 19200 Convert 8924.543 centuries to millennia. 892.4543 Convert 951.6833l to millilitres. 951683.3 How many milliseconds are there in 3/8 of a minute? 22500 How many millilitres are there in six fifths of a litre? 1200 How many decades are there in 681410.6 years? 68141.06 How many nanoseconds are there in 1/5 of a microsecond? 200 What is 866.4674 centuries in months? 1039760.88 How many years are there in 4372.505 centuries? 437250.5 What is 1708.37ug in grams? 0.00170837 Convert 5.82561 minutes to hours. 0.0970935 What is 10.84944cm in kilometers? 0.0001084944 What is 64000200.6ms in weeks? 0.1058204375 Convert 9483.271 milligrams to kilograms. 0.009483271 What is 1325.867 decades in years? 13258.67 How many months are there in 88.52659 millennia? 1062319.08 What is 1373200.2 months in centuries? 1144.3335 How many nanoseconds are there in one twentieth of a microsecond? 50 What is 13/5 of a litre in millilitres? 2600 What is 5.195836 milligrams in grams? 0.005195836 How many milligrams are there in 18/5 of a gram? 3600 What is 20.30323 days in minutes? 29236.6512 What is thirteen fifths of a millennium in decades? 260 What is 12.95402 decades in months? 1554.4824 What is 7560.9 months in decades? 63.0075 What is five quarters of a gram in milligrams? 1250 What is 13/4 of a week in hours? 546 What is 1/5 of a milligram in micrograms? 200 What is 32.82527 grams in milligrams? 32825.27 Convert 1.53901 decades to millennia. 0.0153901 How many kilograms are there in 5941.409ug? 0.000005941409 How many months are there in 31/2 of a century? 18600 How many months are there in three fifths of a millennium? 7200 How many milligrams are there in 3/32 of a kilogram? 93750 Convert 15064.82 days to nanoseconds. 1301600448000000000 Convert 60324.36 centuries to decades. 603243.6 Convert 79.71147ng to tonnes. 0.00000000000007971147 How many microseconds are there in 1636.338 days? 141379603200000 Convert 1031.722l to millilitres. 1031722 How many kilograms are there in 27/4 of a tonne? 6750 What is one fifth of a litre in millilitres? 200 Convert 7.121392 micrograms to tonnes. 0.000000000007121392 What is 21/5 of a meter in centimeters? 420 What is fifteen quarters of a century in years? 375 How many litres are there in 96850.56 millilitres? 96.85056 What is 18/5 of a kilogram in grams? 3600 Convert 168.1016 millennia to years. 168101.6 Convert 8.7742881 milliseconds to hours. 0.00000243730225 Convert 489.4926 decades to millennia. 4.894926 Convert 2955.803mg to tonnes. 0.000002955803 What is ten thirds of a hour in minutes? 200 How many decades are there in 75277.77 centuries? 752777.7 How many litres are there in 0.6989163ml? 0.0006989163 Convert 587954.9nm to kilometers. 0.0000005879549 What is 6.381062 hours in seconds? 22971.8232 What is 4189.249 micrograms in tonnes? 0.000000004189249 What is one fifteenth of a century in months? 80 How many months are there in 0.1968133 centuries? 236.17596 What is 5/4 of a kilogram in grams? 1250 How many years are there in 13/4 of a millennium? 3250 Convert 73791.49 millilitres to litres. 73.79149 What is 34/5 of a litre in millilitres? 6800 What is 29/2 of a millimeter in micrometers? 14500 How many millilitres are there in sixty-four fifths of a litre? 12800 How many seconds are there in 11/10 of a hour? 3960 Convert 0.2765005 weeks to microseconds. 167227502400 How many minutes are there in one fifth of a day? 288 How many litres are there in 12104.37ml? 12.10437 What is eleven quarters of a micrometer in nanometers? 2750 How many millilitres are there in seven quarters of a litre? 1750 How many micrometers are there in six fifths of a centimeter? 12000 Convert 5.012693 centuries to months. 6015.2316 How many milliseconds are there in eleven tenths of a minute? 66000 Convert 21843.549 milliseconds to hours. 0.0060676525 How many millimeters are there in 683.0042 micrometers? 0.6830042 What is six fifths of a century in years? 120 How many litres are there in 3.869998ml? 0.003869998 How many nanograms are there in 61/2 of a microgram? 30500 How many months are there in 3/40 of a century? 90 How many grams are there in 1/5 of a kilogram? 200 What is 8217.03um in centimeters? 0.821703 How many millilitres are there in 0.8072229l? 807.2229 What is 0.1586629 millilitres in litres? 0.0001586629 How many months are there in 7/4 of a century? 2100 How many centimeters are there in 41/2 of a meter? 2050 What is three fifths of a day in minutes? 864 How many micrometers are there in 15/4 of a millimeter? 3750 What is 0.1605897kg in milligrams? 160589.7 How many centimeters are there in one quarter of a kilometer? 25000 Convert 15998.66478 nanoseconds to weeks. 0.00000000002645281875 How many micrograms are there in 6157.8 kilograms? 6157800000000 What is 5/4 of a century in years? 125 What is 0.53013cm in kilometers? 0.0000053013 What is 27/2 of a decade in years? 135 How many months are there in 2.835401 years? 34.024812 What is 7/6 of a millennium in months? 14000 What is 1/6 of a minute in seconds? 10 What is 8.644292 centuries in months? 10373.1504 How many litres are there in 74.31058 millilitres? 0.07431058 How many milligrams are there in 0.3875816 kilograms? 387581.6 What is 71059.44 millennia in centuries? 710594.4 What is sixteen ninths of a hour in seconds? 6400 Convert 52840.35um to millimeters. 52.84035 What is 611.0297 centimeters in micrometers? 6110297 What is one tenth of a century in months? 120 How many micrometers are there in 54/5 of a millimeter? 10800 How many seconds are there in 4/15 of a hour? 960 What is 104.8052628 seconds in weeks? 0.000173289125 How many millilitres are there in 27/4 of a litre? 6750 What is 45.66118 tonnes in kilograms? 45661.18 What is seventy-three fifths of a milligram in micrograms? 14600 How many centuries are there in 1451.1108 months? 1.209259 How many months are there in five eighths of a decade? 75 Convert 66.2323 millennia to years. 66232.3 How many micrograms are there in one twentieth of a gram? 50000 Convert 5.3084934 hours to weeks. 0.031598175 What is 45.96659kg in milligrams? 45966590 How many years are there in 75/2 of a decade? 375 What is 856570.6 weeks in seconds? 518053898880 How many months are there in one fifteenth of a millennium? 800 Convert 6209.215 seconds to milliseconds. 6209215 What is fifty-nine fifths of a century in years? 1180 What is one fifth of a tonne in kilograms? 200 What is 1/24 of a day in hours? 1 What is 1911.042 nanograms in micrograms? 1.911042 How many centimeters are there in 42/5 of a meter? 840 Convert 0.27997kg to nanograms. 279970000000 What is nineteen quarters of a litre in millilitres? 4750 What is 0.1218442kg in micrograms? 121844200 How many tonnes are there in 47140.64 nanograms? 0.00000000004714064 Convert 7490.852km to millimeters. 7490852000 Convert 687.7339 nanoseconds to milliseconds. 0.0006877339 What is 2541.131 millimeters in nanometers? 2541131000 Convert 397333.7 decades to months. 47680044
{ "pile_set_name": "DM Mathematics" }
uare root of 10206275 to the nearest integer? 3195 What is 654962434 to the power of 1/3, to the nearest integer? 868 What is the square root of 918522190 to the nearest integer? 30307 What is 561644293 to the power of 1/2, to the nearest integer? 23699 What is the fourth root of 3299287630 to the nearest integer? 240 What is the seventh root of 167864028 to the nearest integer? 15 What is the ninth root of 6872224746 to the nearest integer? 12 What is the cube root of 33723851 to the nearest integer? 323 What is 164096433 to the power of 1/2, to the nearest integer? 12810 What is the square root of 551193744 to the nearest integer? 23478 What is 11065321 to the power of 1/7, to the nearest integer? 10 What is the cube root of 327962847 to the nearest integer? 690 What is 134507967 to the power of 1/9, to the nearest integer? 8 What is the seventh root of 2487681552 to the nearest integer? 22 What is the third root of 65672326 to the nearest integer? 403 What is the fourth root of 1804349480 to the nearest integer? 206 What is the cube root of 33796205 to the nearest integer? 323 What is 1453665785 to the power of 1/3, to the nearest integer? 1133 What is the ninth root of 43266741 to the nearest integer? 7 What is 85246317 to the power of 1/4, to the nearest integer? 96 What is the fourth root of 1085040364 to the nearest integer? 181 What is the fourth root of 5457933097 to the nearest integer? 272 What is the third root of 1082463256 to the nearest integer? 1027 What is the tenth root of 364678894 to the nearest integer? 7 What is the cube root of 143491752 to the nearest integer? 524 What is the square root of 98069121 to the nearest integer? 9903 What is 1870103355 to the power of 1/9, to the nearest integer? 11 What is 100328558 to the power of 1/2, to the nearest integer? 10016 What is the tenth root of 1162885331 to the nearest integer? 8 What is the square root of 1812713257 to the nearest integer? 42576 What is the eighth root of 815302724 to the nearest integer? 13 What is 1463621921 to the power of 1/5, to the nearest integer? 68 What is the third root of 1238637255 to the nearest integer? 1074 What is the sixth root of 206314521 to the nearest integer? 24 What is 300867578 to the power of 1/2, to the nearest integer? 17346 What is 1347924887 to the power of 1/2, to the nearest integer? 36714 What is the square root of 53823644 to the nearest integer? 7336 What is 73644102 to the power of 1/5, to the nearest integer? 37 What is the fifth root of 130543364 to the nearest integer? 42 What is 37583681 to the power of 1/4, to the nearest integer? 78 What is 253156160 to the power of 1/2, to the nearest integer? 15911 What is the square root of 209132078 to the nearest integer? 14461 What is the square root of 23868008 to the nearest integer? 4885 What is the sixth root of 84866449 to the nearest integer? 21 What is 44543573 to the power of 1/2, to the nearest integer? 6674 What is 201210401 to the power of 1/2, to the nearest integer? 14185 What is 4296188000 to the power of 1/5, to the nearest integer? 84 What is 3725441330 to the power of 1/2, to the nearest integer? 61036 What is 2042507095 to the power of 1/5, to the nearest integer? 73 What is the cube root of 36957849 to the nearest integer? 333 What is the third root of 100592193 to the nearest integer? 465 What is 108602452 to the power of 1/2, to the nearest integer? 10421 What is the cube root of 662262141 to the nearest integer? 872 What is the square root of 1135595117 to the nearest integer? 33699 What is the ninth root of 71825355 to the nearest integer? 7 What is the third root of 1934986069 to the nearest integer? 1246 What is the cube root of 23174141 to the nearest integer? 285 What is 1091584 to the power of 1/5, to the nearest integer? 16 What is the tenth root of 2326998771 to the nearest integer? 9 What is the tenth root of 19233250 to the nearest integer? 5 What is the square root of 139389097 to the nearest integer? 11806 What is 4361117834 to the power of 1/6, to the nearest integer? 40 What is the sixth root of 20870954 to the nearest integer? 17 What is 393339817 to the power of 1/3, to the nearest integer? 733 What is 62401970 to the power of 1/3, to the nearest integer? 397 What is 121050151 to the power of 1/2, to the nearest integer? 11002 What is 304989241 to the power of 1/10, to the nearest integer? 7 What is the ninth root of 37444423 to the nearest integer? 7 What is 2529404609 to the power of 1/8, to the nearest integer? 15 What is 849915617 to the power of 1/9, to the nearest integer? 10 What is the cube root of 16146424 to the nearest integer? 253 What is 305030957 to the power of 1/10, to the nearest integer? 7 What is 12721264 to the power of 1/3, to the nearest integer? 233 What is 120506218 to the power of 1/2, to the nearest integer? 10978 What is 2035074527 to the power of 1/3, to the nearest integer? 1267 What is 79652119 to the power of 1/2, to the nearest integer? 8925 What is the tenth root of 20503491 to the nearest integer? 5 What is 11519803 to the power of 1/2, to the nearest integer? 3394 What is 6306140283 to the power of 1/2, to the nearest integer? 79411 What is 24343905 to the power of 1/7, to the nearest integer? 11 What is the third root of 113472089 to the nearest integer? 484 What is the square root of 98498308 to the nearest integer? 9925 What is the tenth root of 267429211 to the nearest integer? 7 What is the square root of 550664859 to the nearest integer? 23466 What is the fifth root of 1126983804 to the nearest integer? 65 What is the cube root of 4363629004 to the nearest integer? 1634 What is 463049267 to the power of 1/2, to the nearest integer? 21519 What is the third root of 294548965 to the nearest integer? 665 What is the square root of 150328901 to the nearest integer? 12261 What is 2665447357 to the power of 1/2, to the nearest integer? 51628 What is the cube root of 2012266922 to the nearest integer? 1262 What is the square root of 2429096483 to the nearest integer? 49286 What is 165465433 to the power of 1/2, to the nearest integer? 12863 What is 56221482 to the power of 1/2, to the nearest integer? 7498 What is the sixth root of 19713264 to the nearest integer? 16 What is the seventh root of 2462707401 to the nearest integer? 22 What is 1969367273 to the power of 1/10, to the nearest integer? 9 What is the cube root of 230345467 to the nearest integer? 613 What is the cube root of 49097759 to the nearest integer? 366 What is 3408575 to the power of 1/5, to the nearest integer? 20 What is the square root of 594033370 to the nearest integer? 24373 What is the square root of 9330687 to the nearest integer? 3055 What is the fourth root of 279673348 to the nearest integer? 129 What is the square root of 530365960 to the nearest integer? 23030 What is the ninth root of 25951081 to the nearest integer? 7 What is the square root of 772610299 to the nearest integer? 27796 What is the sixth root of 4010335756 to the nearest integer? 40 What is 5717028746 to the power of 1/2, to the nearest integer? 75611 What is 1266012473 to the power of 1/4, to the nearest integer? 189 What is the third root of 72919804 to the nearest integer? 418 What is the cube root of 1489662366 to the nearest integer? 1142 What is 4603085040 to the power of 1/2, to the nearest integer? 67846 What is 106167145 to the power of 1/4, to the nearest integer? 102 What is the third root of 298730568 to the nearest integer? 668 What is 2212581881 to the power of 1/8, to the nearest integer? 15 What is 572236126 to the power of 1/2, to the nearest integer? 23921 What is the third root of 513116555 to the nearest integer? 801 What is the sixth root of 570474962 to the nearest integer? 29 What is 131194534 to the power of 1/2, to the nearest integer? 11454 What is 95452593 to the power of 1/2, to the nearest integer? 9770 What is the third root of 4751527448 to the nearest integer? 1681 What is the eighth root of 67468836 to the nearest integer? 10 What is the square root of 2395816155 to the nearest integer? 48947 What is 180371331 to the power of 1/3, to the nearest integer? 565 What is the square root of 607473580 to the nearest integer? 24647 Wh
{ "pile_set_name": "DM Mathematics" }
k = -872.9 - -873. Put 4, 67, k, -0.1 in descending order. 67, 4, k, -0.1 Let w(m) = -m**3 + 19*m**2 - 16*m - 47. Let p be w(18). Sort -4, p, 1 in decreasing order. 1, -4, p Suppose 0 = 4*w - 2*p - 8, -w + 4*p = w + 8. Suppose -5*m - 7 = -s - 2, -5*m - 15 = s. Sort m, -4, w. -4, m, w Let p = 109 + -214. Let j = 104.8 + p. Sort j, 0, 2 in ascending order. j, 0, 2 Let k(l) = -l**2 + 3*l - 5. Let y be k(2). Suppose 0 = 4*b - 3*u + 15, 3*b - 4*u + 20 = b. Sort b, y, 7 in descending order. 7, b, y Suppose -w + 29 = 3*f, -3 = -w + 2. Let m = f - 10. Put 0, m, 14 in descending order. 14, 0, m Let z be 207*(-5)/((-30)/(-4)). Let q = -692/5 - z. Put 0, 5/4, q in descending order. 5/4, 0, q Let k = 0.04 + -58.04. Let x = k - -58. Put -1, x, -3, -1/2 in ascending order. -3, -1, -1/2, x Let n be (1775/385)/5 - 2/7. Let y = -3/22 + n. Sort 0.2, -3/2, y, -1/2 in decreasing order. y, 0.2, -1/2, -3/2 Let m = -9 + 13. Let f be (12/(-18))/(m/(-18)). Sort f, -3, -4 in descending order. f, -3, -4 Let s = -0.91 - -5.91. Sort 20, s, -0.5, -1 in descending order. 20, s, -0.5, -1 Let i = -18 - -14. Suppose 2*k - 4*k - 6 = 0. Sort k, 0, 2, i in ascending order. i, k, 0, 2 Let g be 3/(-9) + -1 + (-2150)/129. Sort -10, 0, g. g, -10, 0 Let x be -4*(0 - 2)/(-4). Suppose u = -2, n + 6*u - 4*u + 2 = 0. Sort 4, n, x in descending order. 4, n, x Suppose 469*c + 45 = 478*c. Let x = -6 + 4. Sort 0, x, c. x, 0, c Let v be (-11)/30 + 1/2. Let l = -54879/26 - -2109. Let o = l - -3/13. Put v, o, 0.3 in descending order. 0.3, v, o Let o(a) = -4 + 0*a + 7*a + 15*a**2 + 2 - 17*a**2. Let j be o(2). Suppose 10 = -5*q - 5*b, 0*q + 2*b - 11 = q. Sort q, j, 6 in ascending order. q, j, 6 Let l = 23 + -22. Let c be (1/l)/1 - 7. Let f = -4 + 0. Put f, 5, c in descending order. 5, f, c Let c = -0.005 - 10.795. Let r = c - -0.8. Let d = r - -12. Put -2/7, d, 3/2 in descending order. d, 3/2, -2/7 Let b(g) = g**2 + g - 28. Let y be b(-6). Let j = -4 + 2. Sort -29, j, y in ascending order. -29, j, y Let u = -4.1 + 3.91. Let p = u - -4.19. Let w = 0.3 - 0.4. Sort -2/5, p, w. -2/5, w, p Let l = -236 - -234.97. Let s = l - -0.93. Sort -11, s, -3, 1/6 in increasing order. -11, -3, s, 1/6 Let f be 3*2/4*(-12)/(-63). Sort 0.5, f, -3 in ascending order. -3, f, 0.5 Suppose z + 3 = 4*p + 12, 0 = -5*p - 5*z + 20. Sort p, -3, 0. -3, p, 0 Let s(t) = 2*t**2 + 11*t + 14. Let o be s(-5). Suppose -5*u = -o*u + 4. Sort 29, u, -3 in descending order. 29, u, -3 Suppose 3*h + 2*b = -41, -5*b - 5 = 2*h + 4. Let j be 1/(-5)*2/(864/(-105)). Let t = -1/16 - j. Sort t, h, 5. h, t, 5 Let w(i) = i**2 + 3*i - 3. Let t be w(-4). Let s(d) = d - 5. Suppose a = 4*x - 13 + 5, -2*a - 2*x = -4. Let f be s(a). Put -4, t, f in increasing order. f, -4, t Suppose 13*w + 970 = -499. Sort w, 0, -2, -1. w, -2, -1, 0 Suppose -s = -r - 1, s - 6*s = 5*r - 45. Let z(c) be the second derivative of -c**5/20 - c**4/3 - 6*c. Let v be z(-4). Sort r, v, -1 in descending order. r, v, -1 Suppose 11*i - 76 = 15*i. Let t = 24 + i. Sort t, -3, 0 in ascending order. -3, 0, t Let y = -75.6 - -1.6. Let p = 74.3 + y. Sort 2, -0.4, -4, p in descending order. 2, p, -0.4, -4 Suppose -10 - 2 = 12*y. Put 0, y, -4 in descending order. 0, y, -4 Let u = -41 + 37. Let f = 0.04 + 4.96. Let i = f - 5.3. Put u, i, -0.6 in descending order. i, -0.6, u Let j be (16/12)/1*3. Suppose 3*f - 4*i + i = 27, -f = -j*i - 21. Sort -10, f, 0. -10, 0, f Suppose 0 = -3*v - 7 - 5. Let s be 18/v + 1/(-2). Let g(o) = -o - 5. Let w be g(-6). Sort s, 0, w in decreasing order. w, 0, s Let c(m) = 8*m + 332. Let v be c(-41). Put 15, v, -3, 2 in descending order. 15, v, 2, -3 Suppose 47 = 9*t - 16. Suppose 0 = 4*a - 8*a + 3*a. Sort t, 4, a in ascending order. a, 4, t Let l = 24.308 + -0.108. Let n = -25 + l. Let v be 10/(-12) + -1 + 2. Put v, 1/3, n in increasing order. n, v, 1/3 Suppose -124*b - 133 - 115 = 0. Let n(c) = c**2 + 7*c - 8. Let d be n(-8). Sort 6, b, d, 4 in descending order. 6, 4, d, b Let d = -1388/7 + 198. Let o = -390 - -307.5. Let s = o - -83. Put 15, s, d in decreasing order. 15, s, d Let k = 241 + -241. Put 8, k, -0.2 in descending order. 8, k, -0.2 Let f = 2175.8 - 2176. Sort 1/2, f, 23, -2/11. f, -2/11, 1/2, 23 Let h = 21 - 28. Let q be 4/(-8)*(1 - -5). Sort 4, q, h, 2. h, q, 2, 4 Let v(p) = -p**3 - 2*p**2 - 5*p - 17. Let h be v(-3). Suppose -3*q + 0 = -6. Suppose -2 = -q*y + 4. Sort 1, h, y in descending order. h, y, 1 Let b = 29 + -17. Let w(x) = x - 15. Let k be w(b). Suppose -5*v + 4 = -3*v. Put v, 5, k in decreasing order. 5, v, k Suppose -5*c + 0 = 5*w - 90, 3*c - w - 38 = 0. Let q be c/10 + (-222)/30 + 7. Sort q, 2, 4, -5. -5, q, 2, 4 Let i = 0.77 - -0.03. Let p = 0.5 - i. Let s = -1.054 - -0.054. Put -4, p, s in decreasing order. p, s, -4 Suppose -h - 32 = -28. Put 2, 50, h, 4 in ascending order. h, 2, 4, 50 Let o = 53 + -51. Let u be -4 - (1 - 3) - o. Sort 4, u, 0, 3 in ascending order. u, 0, 3, 4 Let v = -10/51 - -332/1173. Sort v, 5, 14, -1/2 in descending order. 14, 5, v, -1/2 Suppose 3*z - 80 = -5*z. Let n be (2/24)/(z/(-45)). Put -1, 2/15, n in ascending order. -1, n, 2/15 Suppose -2*l + 2*y = -5*l - 16, -5*l - y - 29 = 0. Let b(t) = -3*t**3 + 46*t**2 - 18*t + 42. Let p be b(15). Sort l, -1, p, -4. l, -4, p, -1 Let l = 1725/2 - 862. Suppose 0*r - 12 = -4*g + 3*r, -2*r + 15 = 5*g. Put -1/4, l, g, -0.1 in decreasing order. g, l, -0.1, -1/4 Let u be (-16 - -14) + 1*20. Suppose -m - 8 = t, 2*m - 5*t - u = 5*m. Put 0.3, m, -0.5 in decreasing order. 0.3, -0.5, m Let c = 183.9 + -184. Sort 2/3, -6/7, c in descending order. 2/3, c, -6/7 Let a be -2 + (-4)/4 + 27. Let g = a + -12. Let x be 8/g + (-1)/(-3). Sort x, 5, 3 in decreasing order. 5, 3, x Let v be (6/(-36))/(4 + (-138)/36). Put v, -3, 2, 5 in ascending order. -3, v, 2, 5 Let n = -6 + 2. Let u = -1112 + 1110. Put u, -6, n in decreasing order. u, n, -6 Let l be 5 - 5/(10/4). Let v = -3 - -65. Let k = v + -60. Put k, l, -5 in descending order. l, k, -5 Let c = 1275 - 1299. Sort c, -5/4, -1/2. c, -5/4, -1/2 Suppose 5*t - t - 5 = -5*c, -t - 2*c = -5. Put -4, t, -2, -40 in descending order. -2, -4, t, -40 Let h(u) = u**3 + 6*u**2 - 3*u - 9. Let o be h(-6). Suppose -o = 5*l - 19. Sort -2, l, 25, -3 in decreasing order. 25, l, -2, -3 Let x = 1.85 - 21.05. Let y = -20 - x. Let h = y + 2.8. Sort h, -0.1, -3 in decreasing order. h, -0.1, -3 Suppose -29*s = -22 + 51. Sort 5, s, -5 in descending order. 5, s, -5 Let t = 6.11 - 2.11. Sort 39, 2, -2, t in decreasing order. 39, t, 2, -2 Suppose -6 + 63 = -3*c + 4*u, 5*c + 95 = -u. Suppose -5*i + 25 = -60. Let a = c + i. Sort a, -2/7, 2 in decreasing order. 2, -2/7, a Let a be ((-47)/(-2))/(2 + (-170)/92). Let d = -155 + a. Put d, -0.1, 2, 4 in descending order. 4, 2, -0.1, d Let x(h) = 0*h + 4 - h + 5. Let m be x(6). Let q = 3897 - 3897. Put -2/5, q, m in increasing order. -2/5, q, m Let i(f) = 3*f**2 + 1. Let r be i(-1). Let h = -2 + r. Suppose -l + 5*k + 28 = 0, -5*k + 30 = 3*l + 46. Put 1, l, h in decreasing order. l, h, 1 Let t = -0.1501 - -4.1501. Put -1/16, -5, 0.5, t in decreasing order. t, 0.5, -1/16, -5 Let z = 16 - 32. Sort z, 5, 3, -2 in decreasing order. 5, 3, -2, z Let g = 6 + -7. Suppose 0 = 26*u - 0 - 26. Sort u, 0, 7, g in decreasing order. 7, u, 0, g Let k = -129 + 121. Sort k, -3, 0 in ascending order. k, -3, 0 Let k = 126.6 - 127. Suppose q - 2 - 3 = 0. Let s be 4*(-2)/8*-3. Put k, s, q in decreasing order. q, s, k Let u = 0.4461 + 0.0539. Put -126/11, 1, 0.1, u in descending order. 1, u, 0.1, -126/11 Let f = -0.05 + 0.15. Let s = 34 + -18.5. Let h = s + -16. Sort h, 2/21, f in ascending order. h, 2/21, f Let y = 61 - 115. Let r = y + 50. Sort -1, r, 14/9 in increasing order. r, -1, 14/9 Let m be 2/(-1 - -9)*12. Let l be m*3/(-18)*0. Sort 3, -5, l in decreasing order. 3, l, -5 Let t = 583 + -587. Let u(p) = p**2 + 17*p + 21. Let v be u(-16). Sort v, 1, t in decreasing order. v, 1, t Let i = 0.25 - -0.1. Let v = -3.15 - i. Let m = 3.7 + v. Put m, -5, -4 in descending order. m, -4, -5 Let b = -6 - -13. Let q = -638 - -638. Sort -2, b, q in decreasing order. b, q, -2 Let j(c) = c**2 - 16*c + 10. Suppose 2*q + 3*q - 75 = 0. Let p be j(q). Let z = -1 + 5. Put z, -2, p in descending order. z, -2, p Let b = -2 - -2.3. Let h = 1.3 - 6.3. Let j = -735 + 74
{ "pile_set_name": "DM Mathematics" }
2 and give o. 2 Express 6*m**4 - 2135*m**3 + 8*m - 8*m + 51 + 2135*m**3 - m**2 in the form o*m**4 + h*m**3 + j*m**2 + u*m + c and give o. 6 Rearrange -2206872 + 7084*g + 2206872 + (0 + 3 + 0)*(1 - 1 + 2*g) to the form n*g + q and give n. 7090 Express (-1656*b - 722*b + 145*b - 1434*b)*(2*b - 3*b + 3*b)*(-6 + 16 - 4)*(2 + 0 - 4) as f + h*b**2 + u*b and give h. 88008 Express (5*k + 4*k - 2*k)*(25*k**2 - 38*k + 38*k) - 4*k**3 + 5*k**3 + 3*k**3 as g*k + j*k**2 + l*k**3 + i and give l. 179 Express 4345*t + 7*t**4 - 8689*t + 4346*t - t**3 in the form z + j*t**3 + y*t**4 + m*t**2 + v*t and give y. 7 Express 5*i - 4*i + 2*i + (5 + 3*i - 5)*(-4 - 1 + 3) - 235*i + 2116*i + 2253*i - 732*i + 1099*i as u + z*i and give z. 4498 Express 9772*w**2 + 101*w + 2 - 9771*w**2 - 2 in the form v + h*w**2 + i*w and give i. 101 Rearrange ((2*k - 2*k + k)*(0 - 1 + 2) - 213880 + 1400*k + 213880 + (2*k - 4*k + k)*(0 + 1 + 0))*(-3*k - 3*k + 4*k) to c + t*k + h*k**2 and give h. -2800 Express 3517848*m**2 - m - 211 + m - 3517835*m**2 as i + n*m + z*m**2 and give i. -211 Rearrange 1928*f + 7 + 1914*f - 3845*f to the form b + o*f and give b. 7 Express 96*m - 63*m + 18*m - m + m + 3*m + (-m - 2*m + 5*m)*(-5 + 2 + 1) + 36*m + 88*m - 43*m in the form b*m + y and give b. 131 Rearrange (0*z + 0*z + z + (-2 + 0 + 1)*(-z + 3 - 3))*(2533 - 1388 + 1173 + 6147 + 1924) to the form s*z + k and give s. 20778 Rearrange (-57*o + 354801 - 354801)*((-2 + 5 - 5)*(9 + 2 - 2) + 0 - 2 + 1) to the form q*o + k and give k. 0 Rearrange 386*y - 192*y - 193*y - 348*y**2 + (-2*y + 2 - 2)*(3*y - y - y) to the form z + p*y**2 + i*y and give i. 1 Rearrange (-3*v + 0*v + 5*v)*(-1 + 2 - 3) + 6*v - 2*v - 3*v + 0 + v + 0 + 5*v + 2*v - 5*v + (-168*v + 448 - 448)*(3 - 5 + 0) to the form i*v + c and give i. 336 Rearrange -847*h**2 + 2534*h**2 - 842*h**2 + h - 8 - 2*h + 78*h**3 - 844*h**2 to the form k*h**3 + c*h**2 + u + q*h and give c. 1 Express (3*l**3 - 3*l**3 - l**3)*(24*l + 5*l + 35*l) + 18*l**4 - 49*l**4 - 12*l**4 in the form r*l + s + y*l**4 + h*l**2 + k*l**3 and give s. 0 Express -174009*h + 174009*h - 9143*h**2 in the form m + f*h + j*h**2 and give j. -9143 Rearrange -1574*u + 784*u + 806*u + 2*u**3 - 2*u**2 - 22 to w*u**2 + v + a*u + k*u**3 and give k. 2 Rearrange 20840*j + 10742*j - 5437*j to the form t + w*j and give w. 26145 Rearrange -5*a - 10*a**4 + 7*a**3 + 7*a**4 + 5*a**4 + a**4 + 7*a to x*a**4 + i*a + s*a**3 + r + h*a**2 and give s. 7 Express -2920*a**2 + 2936*a**2 + 3*a + 2*a + (3*a + 0*a - a)*(-107 + 107 + 16*a) as g*a + t + h*a**2 and give t. 0 Express (4 + 0 - 2 + (2 - 4 - 5)*(5 - 5 - 2) + 1 + 4 - 4 + 1 + 0 + 1)*(-3 + 3 - u)*(5 - 3 - 1) + u - 4*u - u as r*u + t and give r. -23 Rearrange 0*m**3 + 2*m**3 - 6*m**3 + (0 - 3*m + 0)*(m**2 - 4*m**2 + m**2) - 119*m**3 - 117*m**3 + 239*m**3 - 5*m + m**2 to u*m**3 + c*m + b + x*m**2 and give c. -5 Express -402*n + 1214*n - 413*n - 399*n + 23942*n**2 as w*n**2 + o + a*n and give a. 0 Express 1496 + 1158*g**2 - 1496 - 2*g + (-3*g + g + g)*(5*g - 4*g - 2*g) - g**2 - 4*g**2 + g**2 as u*g + f*g**2 + m and give f. 1155 Rearrange (-1680*r + 441*r - 175*r)*(2*r + 8 - 3*r - 7 + 2*r - 4*r + 0*r + (0 + 3 - 1)*(0*r + r + r)) to m + j*r + z*r**2 and give z. -1414 Rearrange -65*j**3 + j**2 + 2*j**2 + 3*j**4 + 11 - j**4 + j + 64*j**3 to the form w*j**3 + k*j**4 + y*j + n + d*j**2 and give w. -1 Rearrange -161 + 78 + 83 - 2983*s**2 to g*s**2 + a + k*s and give g. -2983 Rearrange -50*r - 64*r + 16748*r**2 - 51*r + 165*r to the form k + l*r**2 + u*r and give l. 16748 Express -3579*c - 3 - 1260*c + 1 + 151*c as y + o*c and give o. -4688 Rearrange -1327*z**2 + 2 - 40*z**4 + 3*z**3 - 4*z**4 - 1330*z**2 - 1 + 2656*z**2 to b*z**2 + y*z**4 + o + q*z + h*z**3 and give b. -1 Express (3 - 2 - 3)*(3*n - 4*n - n) + 0 + 0 - n - 4 + n + 4 + 2*n + 0*n - n + 29*n - 19*n - 7*n + 449 in the form m + g*n and give g. 8 Express 199 + 1399*y - 614 + 309*y + 205 + 206 in the form b + l*y and give b. -4 Rearrange 2 + 274949*v**2 - 4*v**3 - 2*v**4 + 3*v**3 - 274956*v**2 to the form i*v**3 + d*v + q + p*v**4 + f*v**2 and give q. 2 Rearrange (-2962 + 2962 + 2313*s)*(0 + 1 - 5) to the form p*s + l and give p. -9252 Express -108*j**2 + 19*j**2 - 237*j**2 - j**2 + 5*j - 5*j + (-1 + 1 - 2*j)*(-3*j + j + j) - 10*j**2 - 18*j**2 + 25*j**2 in the form a*j**2 + x + q*j and give a. -328 Express -26*j**2 + 6 + 1 - 25*j**2 - 2*j + 63*j**2 - 3 in the form t*j + y*j**2 + i and give i. 4 Rearrange (0 - 1 - 3)*(145 - 145 + 14*n) - 5*n - 6603 + 6603 to j + k*n and give k. -61 Rearrange -4*h + 3 + 5*h - 2 - 2666*h**2 - 2 + 2399*h**2 to x*h + l*h**2 + w and give x. 1 Rearrange -538*s + 284*s + 2 + 9*s**2 - 34*s**4 - 11*s**2 + 266*s to a*s + w*s**4 + j + x*s**2 + g*s**3 and give a. 12 Rearrange -13*g - g - 649 + 2*g + 3*g + 4*g to the form h + f*g and give h. -649 Rearrange (-5*p + 3*p + p)*(-2*p + p - 2*p) + 52 - 2*p**2 - 52 + (-3*p**2 - p**2 + 2*p**2)*(-3 + 1 - 2) to t*p**2 + n + a*p and give t. 9 Rearrange 119*p**2 - 41*p**2 + 126*p**2 + 81 - 20*p**3 - 80 to q*p**2 + i*p**3 + z*p + w and give w. 1 Rearrange 792*u + 1885*u + 2150*u - 904*u - 579*u to the form g + s*u and give s. 3344 Rearrange (-2*k + 3*k + k)*(-2*k - 3*k + 2*k) + 23*k**2 + 113 - 113 + (1 + 2 - 5)*(3 - 3 - 2*k)*(-2*k + 0 + 0) to t + i*k + c*k**2 and give c. 9 Rearrange (-1512*k + 2937*k - 1722*k - 1248*k)*(11*k + 5*k - 6*k) to the form b*k**2 + v*k + c and give b. -15450 Rearrange 46 - 648*r + 664*r + 2*r**2 - 47 to f + h*r + i*r**2 and give f. -1 Rearrange -2*c**2 + 1468*c + 28398 - 28398 to the form j*c + s + k*c**2 and give j. 1468 Express 613*k**2 + 244*k**2 - 5756*k**2 in the form z*k**2 + a + q*k and give z. -4899 Express -17776*b + 10617*b - 5726*b - 12094*b in the form h*b + c and give h. -24979 Express -466*n**2 + 104*n**2 - 2125*n + 2124*n as h*n**2 + z + i*n and give z. 0 Express 2278*j**2 + 415*j - 1138*j**2 - 1142*j**2 in the form q + g*j + u*j**2 and give u. -2 Rearrange -33*s**2 - 22*s - 40*s + 13*s**2 + 3 + 61*s to x*s**2 + i*s + t and give i. -1 Rearrange 7*x - 56*x - 3*x - 109*x to the form n + j*x and give j. -161 Express 55*u**3 - u + u**2 - 4*u**2 + 9*u**3 + 3 + 4*u**2 as a*u**2 + v + i*u + b*u**3 and give a. 1 Express (k**2 - 3*k**2 - 2*k**2)*(2515 - 4905 + 2459) in the form a*k + q*k**2 + o and give q. -276 Express -5*w**3 + 45*w - 2 - 2*w**2 - 78*w + 0 in the form y*w + c*w**2 + k*w**3 + o and give c. -2 Express 108*l**3 - l**3 - 3 - 2*l - 65*l**3 - l**2 - 56*l**3 in the form f + g*l + w*l**2 + d*l**3 and give d. -14 Rearrange 3627*f + 2719*f - 1148*f to j*f + d and give j. 5198 Rearrange (2 - 8 - 24)*(8 - 7*h**3 + 1849*h**2 + 1847*h**2 - 3699*h**2 + h) to w*h**2 + d + q*h + s*h**3 and give d. -240 Express -1569*y + 1913*y + 6 + 1 + 2703*y - 8 as o*y + t and give o. 3047 Rearrange -46 + 1434*u + 22*u**3 - 1434*u - 34 to the form w*u + n*u**3 + t*u**2 + p and give p. -80 Express -5*t**4 - 6*t**2 + 0*t**2 - t + 6*t**4 - 12*t**2 + t**3 + 25*t**2 - 3 in the form z*t**4 + g*t**2 + u + j*t**3 + y*t and give z. 1 Rearrange u + u**2 - u + (-u + u + 2*u**2)*(139 - 198 + 100 + (-2 + 3 + 0)*(6 - 5 + 1)) + 39*u**2 - 97*u**2 - 121*u**2 to the form l*u + i + b*u**2 and give b. -92 Express 0*g - g - 2*g + (-3 - 1 - 1)*((-304 + 26*g + 304)*(0 + 5 - 2) + g + 6*g - g) in the form s*g + m and give s. -423 Express 112 - 33 + 402 - 20 + 4*s as n + x*s and give n. 461 Express -5*c**3 - 2*c**4 + 3150209*c**2 - 3150209*c**2 + 69*c + 1 as y + u*c**2 + k*c + p*c**4 + r*c**3 and give k. 69 Rearrange -4 - 5*r**3 - 548546*r + 274276*r - 113*r**4 + 274270*r to the form v*r**3 + b + n*r + t*r**2 + q*r**4 and give q. -113 Rearrange (-u + u + u**2)*(7 - 16 + 26 - 17 - 66935*u) to c*u + h + n*u**2 + t*u**3 and give t. -66935 Express -k**2 - 21*k**3 - 1376 + 16*k**3 - 3*k + 1369 in the form z*k**3 + a*k**2 + p + t*k and give t. -3 Express 3 - 2*b**4 - 4227*b**3 - b + 12736*b**3 - 4232*b**3 - 4240*b**3 in the form c*b**4 + z + v*b + g*b**2 + w*b**3 and give w. 37 Rearrange (-369 - 126 + 28)*((-3*u + 2*u - u)*(1 - 2*u + 3*u - 3*u) + 5*u - 5*u - u**2) to i*u**2 + a*u + w and give i. -1401 Express -1139 + f**2 + 1140 - 2*f**2 - 42*f**4 as j + c*f**3 + x*f**2 + i*f**4 + k*f and give x. -1 Express -13*p - 15*p**4 - 3 - 22*p**4 - 60*p**4 - 23*p + 38*p as l*
{ "pile_set_name": "DM Mathematics" }
d) 0.4 (e) 16 (f) 5 a Which is the nearest to 2/5? (a) 2/33 (b) -16 (c) -314228 a What is the nearest to -8 in 15, -1/16, 4, 2, 17/43? -1/16 Which is the nearest to 0? (a) -2 (b) -1 (c) -8734 (d) 2/9 (e) -23 d Which is the closest to 10? (a) -4 (b) -2/3 (c) 0.4 (d) -756 c What is the closest to -1 in 2/13, 4, -1271, 137, 6, 5? 2/13 Which is the nearest to 0.1? (a) -2748 (b) 63 (c) 4/3 (d) 2 (e) 2/7 e What is the nearest to 3531 in 76, 2, 4, -3, 1/9, -4? 76 What is the nearest to 687 in -3/2, -161, -1/18? -1/18 Which is the closest to 0.1? (a) -93 (b) 0 (c) -1021 (d) 4 (e) 3/4 b What is the nearest to -0.029 in 0.16, -0.04256, -0.6? -0.04256 Which is the closest to 1? (a) 0.05 (b) 0.4901 (c) -31 (d) -0.2 (e) -2/17 b What is the nearest to 1 in 1/18, 0.4, 0.47665, 1? 1 What is the closest to 0 in 0, 0.02, -9, -3.14? 0 What is the closest to -1/2 in -2, 2/3, -448788? 2/3 What is the nearest to 2 in 23, -2, -7/326? -7/326 What is the nearest to 0.55 in -3/5, 5, 2/11, -5, 32/3? 2/11 Which is the closest to 3/4? (a) 7 (b) -0.07 (c) -1/3 (d) 0.021 (e) 5 d What is the closest to -8.91 in 0.02, 0.039, -0.5? -0.5 What is the nearest to -2/27 in -5/302, -3, 1, -4/9, -5/3? -5/302 Which is the closest to 1.3? (a) 5 (b) 2/37 (c) 25 b What is the closest to -4/7 in -1, -13/5, 0.3, 4, 2/167, 0.2? -1 Which is the nearest to -3128/5? (a) 5 (b) 2/457 (c) -2/3 c What is the closest to -0.2 in -4, -3, -12.6, -3/8, -9, 4? -3/8 Which is the closest to -7/3? (a) 2 (b) 0.43 (c) 3 (d) 0.122 (e) -3 e What is the nearest to 2996 in -803, -0.2, -2? -0.2 What is the closest to -2300 in 2, -3/4, -1.4, 0.05, 2/7? -1.4 What is the nearest to 0.1 in 2, 70, 0.41, 0.12? 0.12 What is the nearest to -2 in -178, 2, -3, -3/1144? -3 Which is the nearest to -20659? (a) 1 (b) -3 (c) -7 c Which is the nearest to -1? (a) 96 (b) -1 (c) -0.2 (d) 2 (e) -27/5 (f) -2 b What is the nearest to 72 in -3, 0.5, -0.262? 0.5 Which is the nearest to 0? (a) -0.7 (b) -45272 (c) -8 (d) 0.2 d What is the nearest to 1 in -3901489, 0.2, 4? 0.2 What is the closest to 17108 in 12/11, -2, -1, -1.5? 12/11 Which is the nearest to -0.1? (a) -28.329 (b) 4 (c) -4 c What is the nearest to -1 in -11, -0.3, -3/4, -7, -3/7? -3/4 Which is the closest to -1/2? (a) -4 (b) -2/3 (c) -77 (d) -21 (e) -559 b What is the closest to -4 in 3/11, -2/11507, -7, 4, 0? -7 What is the nearest to 2 in -7/27, -48, -5, 5, -12? -7/27 Which is the nearest to 2/3? (a) -5 (b) 29 (c) -0.1 (d) -3/29 (e) -0.222 (f) 2 c What is the nearest to -20182 in 5/6, 2, 3, -4, 2.58? -4 What is the nearest to 1 in -5, -464, 1, 149, 2? 1 What is the nearest to 0 in 2, -62/6911, 16? -62/6911 What is the closest to -3006/41 in 5, 0.5, -41, -2? -41 What is the closest to 5/72 in 0.097, -2, -11/7? 0.097 Which is the nearest to -2/43? (a) 0.07 (b) 4 (c) 6729/5 a Which is the closest to 2? (a) -1/3 (b) 7.3 (c) -0.1 (d) 41457 c What is the closest to -1217 in -826, -2/5, 2, -3? -826 Which is the closest to -1? (a) 96 (b) 2.05 (c) -38 (d) 2 d Which is the closest to -2? (a) -4.4 (b) -1/1143 (c) -4/7 (d) 3/4 (e) 0.1 c Which is the nearest to -19? (a) 6912/229 (b) -1/9 (c) 0.2 b What is the nearest to -1/3 in 2/9, 2, 2/15, 0.2, -3.5055? 2/15 What is the nearest to 2/225 in -0.075, 2/5, 3/7? -0.075 Which is the closest to 0.2? (a) -1265 (b) -2/19 (c) -3/7 (d) -0.3 b What is the nearest to 2/5 in -2/703, 1/7, -2, 5/2, -1/563? 1/7 Which is the nearest to -2.2364? (a) 0.2382 (b) 4/9 (c) -1/5 (d) -4/5 d What is the nearest to 20/7 in -15570, -0.7, -4, -0.3? -0.3 What is the nearest to 0.2 in 1/9, -1, 4, 4282, -40/31? 1/9 What is the closest to -9/14 in 0, -0.06, 0.14, 17, -4? -0.06 What is the closest to -0.588 in 0.23, 3, 1, -0.067? -0.067 What is the closest to -2 in 0.04, 4, -109/346? -109/346 What is the nearest to 0 in -2, -20173477, -4? -2 What is the nearest to 0 in -55, -5/2, -1170, -1/4, 1.8? -1/4 Which is the nearest to 1? (a) -1/4 (b) -338 (c) 20.93 (d) -1 (e) 3/4 e Which is the nearest to -1623? (a) 0.2 (b) 0.4 (c) 1/2 (d) 2/7 a What is the nearest to -25178076 in 3/2, -0.3, -5? -5 Which is the closest to 0.07? (a) -0.5 (b) 2171 (c) -0.01 (d) 1/4 c Which is the closest to 3? (a) -2 (b) -3/5 (c) 4 (d) -1616 c Which is the nearest to 0? (a) 50 (b) 99 (c) 12 (d) 0.6 d Which is the closest to 1/4? (a) -287.74 (b) -19/4 (c) 1/2 (d) -3 (e) 0.2 e What is the nearest to 5 in 1, 1895, 0.1, 2/19, 4? 4 Which is the closest to 1/2? (a) -17/4 (b) 64/37 (c) 3/7 (d) 284 c Which is the nearest to 3? (a) -2/13 (b) 4/5 (c) -0.44 (d) -0.3 (e) -0.0042 b Which is the closest to 1/2122? (a) -2/3 (b) 8 (c) -4 (d) 0.018 d What is the closest to -1 in 2/51, 8, -126, 0.118? 2/51 What is the closest to 1 in -1/12, -0.02, -2/7, 4/3, -2/4495? 4/3 Which is the closest to -1/2? (a) 0.4 (b) -54 (c) -1/2060 (d) -0.1 d Which is the nearest to 2/69? (a) -0.01 (b) 1 (c) 6 (d) -0.6 (e) -0.14 a Which is the closest to 62? (a) -3 (b) -831 (c) 3 c What is the nearest to 63 in 3, 4/5, -4/3, -2/9? 3 Which is the nearest to 2? (a) 1 (b) -944 (c) 36 (d) -2/9 (e) -4/15 (f) -2 a Which is the closest to 1/4? (a) -3 (b) -0.3 (c) -115 (d) -6/11 (e) 30 b What is the nearest to -5.3 in 0.108, 0.3, -0.4? -0.4 What is the nearest to 13/1056 in 2/7, 0, -2.6, -0.2, 0.7? 0 Which is the closest to 1? (a) -362 (b) 0.4 (c) 3/1049 (d) 0 b Which is the closest to -0.27349442? (a) 1 (b) 3 (c) -3 a What is the nearest to -84 in 0.2, 0.082, 1/11, 3, 7/10? 0.082 Which is the nearest to 1193? (a) -3/8 (b) 11128 (c) -2/5 a What is the closest to 8 in -6573, -19, 1? 1 Which is the nearest to 4/11249? (a) 8 (b) 0 (c) -2 b Which is the closest to -1/2? (a) 1/5 (b) 3 (c) 2 (d) 957802 (e) 1/2 a What is the closest to 12 in -9915/1157, 1, -0.2? 1 What is the closest to 69 in -2, 2/3, 317.2? 2/3 What is the closest to 26.73 in 0, 0.2, 4/27, 7/3? 7/3 Which is the nearest to 1? (a) -5 (b) -0.07 (c) -7 (d) 0 (e) 61 d Which is the closest to -2? (a) 70 (b) 3/4 (c) -753 b Which is the nearest to -0.13? (a) -5 (b) 2 (c) 1 (d) -60 (e) 12 c Which is the nearest to 3? (a) 0.112 (b) 2.84 (c) -2 (d) -7 (e) 5 b Which is the nearest to -4.2? (a) 9 (b) 2/3 (c) -116/11 b Which is the closest to 1/285? (a) 616 (b) 0.3 (c) -1/3 (d) 7 b Which is the closest to -0.2? (a) -1/101 (b) 8247 (c) -4 a What is the nearest to -2.2 in 4, -271, -23/2, -0.04? -0.04 What is the closest to 4/13 in 13, 1.39, 0.1, -1/147, 0? 0.1 Which is the closest to 41671? (a) -0.2 (b) 14 (c) -1/6 b Which is the nearest to 1/4? (a) 52 (b) 5 (c) 0.4 (d) -1/7 (e) 1/602 c Which is the closest to 0? (a) 4 (b) 0.4 (c) -59379 b What is the nearest to -2/5 in -2, -8, 3/4, -2/411, 3? -2/411 What is the closest to -69.5 in 0, -8/25, 0.2, -2, 3? -2 What is the closest to -1499 in 0.03, 28, 3, 2? 0.03 What is the closest to 267 in -0.4, 2.34, 0.4, -9? 2.34 Which is the closest to 10/109? (a) 1/7 (b) 750 (c) 6/19 a What is the closest to 6922 in -9, 1/5, 3? 3 Which is the nearest to 138? (a) -0.1 (b) 12 (c) -98 (d) -0.4 b Which is the closest to -29569? (a) -2 (b) -2/9 (c) -50 c What is the nearest to 2/19 in -0.8, -0.3, 0.0095, -2/7, 4? 0.0095 Which is the closest to -0.1? (a) 9/4 (b) -1/7 (c) -2 (d) -2/11 (e) -2/93 b Which is the closest to -3/2? (a) -24 (b) 0.3 (c) -1809 b Which is the nearest to 0.2? (a) -0.691 (b) 1 (c) -2 (d) -6/4655 d Which is the closest to 3/2? (a) 2/9 (b) -2/27 (c) -79559/9 a What is the nearest to -650 in -31, 1/24, 3, -0.17? -31 What is the closest to 1.2 in 4/6231, 1, 376? 1 Which is the nearest to 0.05? (a) 540 (b) -0.1 (c) -0.19 (d) 0.03 d Which is the nearest to -16/9? (a) -4 (b) -0.2 (c) -5/6 (d) 0.4 (e) 5 c Which is the nearest to -8.4? (a) -1/12 (b) 4/5 (c) 0.1 (d) 0.02 (e) 0.3 (f) -0.1 f What is the nearest to 257 in 0.3, -10, -2, 329, 4? 329 What is the nearest to -0.05 in -1, -78/7, -0.1, 1/54, -0.11? -0.1 What is the closest to 12.68 in -72, -76, 0.3, -2/9? 0.3 Which is the closest to 0.048014? (a) 3/7 (b) 13 (c) -0.2 (d) 0.3 c Which is the nearest to 0.1? (a) -13/9 (b) -982 (c) -2/509
{ "pile_set_name": "DM Mathematics" }
What is 166a1aa (base 11) in base 8? 12651340 Convert -104024031 (base 5) to base 7. -3603133 Convert 411320231 (base 5) to base 8. 6267575 -397cc (base 13) to base 11 -73278 Convert a7a1a4 (base 11) to base 15. 24187c 124230410 (base 5) to base 15 c2eda Convert 10101110020 (base 3) to base 9. 111406 Convert -389cb (base 15) to base 4. -230031203 -1035543551 (base 6) to base 16 -aad53b What is -17b70 (base 15) in base 7? -436665 What is 1637550 (base 8) in base 4? 1303331220 Convert c2a63 (base 15) to base 5. 124212333 What is 175032 (base 10) in base 4? 222232320 Convert 1a2a98 (base 13) to base 8. 2417110 What is -44524051 (base 6) in base 7? -14315113 Convert -2466358 (base 10) to base 2. -1001011010001000110110 Convert 101112010021 (base 3) to base 11. 131685 What is -1573662 (base 8) in base 6? -13442002 Convert -765812 (base 12) to base 13. -508bb3 What is -10364363 (base 7) in base 14? -19246a Convert 126835 (base 11) to base 16. 30a9d Convert -789235 (base 13) to base 4. -22313033032 51a646 (base 12) to base 10 1283094 Convert 510423 (base 6) to base 11. 28339 What is 370334 (base 13) in base 16? 140e34 -815662 (base 10) to base 11 -507901 Convert -ee4a3 (base 15) to base 10. -757053 Convert -cad4e (base 16) to base 14. -178aaa 131441344 (base 5) to base 7 5401045 Convert 3b0d92 (base 15) to base 2. 1010110100111000101110 -100111010101010010101 (base 2) to base 5 -312220403 -250903b (base 12) to base 3 -111121102001202 What is 10101010010111100 (base 2) in base 15? 1aca3 What is 47434 (base 12) in base 9? 155184 -2320663 (base 8) to base 15 -c7064 What is -15cd234 (base 14) in base 12? -37092ba Convert -10000010100111011 (base 2) to base 16. -1053b What is -10920 (base 14) in base 8? -116420 Convert -43635777 (base 8) to base 3. -122122220112221 Convert 310335233 (base 6) to base 3. 101001122221110 What is -134131130 (base 5) in base 6? -22502441 Convert -78b8a (base 15) to base 12. -166264 Convert 9bc50d (base 16) to base 10. 10208525 Convert -1123033030 (base 5) to base 2. -1001101110010110010100 -247a37 (base 11) to base 8 -1374101 3303122300 (base 5) to base 16 6c1349 Convert 3bd66 (base 14) to base 9. 245102 -13451140 (base 7) to base 6 -42531251 276c74 (base 15) to base 6 104350344 1001110101100010011 (base 2) to base 7 2511501 c041cc (base 15) to base 10 9126417 What is -432440401 (base 5) in base 3? -10110122102122 What is -83b949 (base 12) in base 3? -10220022221010 -383347 (base 12) to base 13 -261b38 Convert -aba05 (base 13) to base 9. -524230 What is 3011203133 (base 4) in base 14? 170c6b 4443001 (base 11) to base 14 106c034 110100100111001010 (base 2) to base 12 a4862 Convert -536983 (base 11) to base 5. -204431334 Convert -b7c3 (base 15) to base 9. -58303 Convert 8b8bc (base 13) to base 6. 5240402 What is 100211451 (base 7) in base 13? 128179b What is 111112 (base 8) in base 4? 21021022 3999b2 (base 14) to base 15 2935dc What is -202020112222221 (base 3) in base 8? -51023333 -5456114 (base 7) to base 10 -669596 -16a18 (base 14) to base 6 -1115130 Convert -55302016 (base 8) to base 3. -211101101000000 12ba2 (base 12) to base 6 315522 Convert -1223352 (base 7) to base 8. -463136 10010010100010111000 (base 2) to base 15 bccb8 Convert 1c1ab6 (base 13) to base 10. 718061 What is 68a8b (base 13) in base 5? 22100442 Convert -3445210 (base 6) to base 10. -177414 304011312 (base 5) to base 16 12d907 -5516b (base 12) to base 11 -77616 -300022133 (base 4) to base 8 -601237 9bff5 (base 16) to base 7 5300605 17dc81 (base 14) to base 7 10116121 354023033 (base 6) to base 2 11001010010010000111101 Convert -1110000100101001 (base 2) to base 11. -3a341 33bb8a (base 12) to base 4 3022133122 Convert -1775929 (base 12) to base 4. -102220013301 440606 (base 8) to base 7 1154016 What is 12221021102002 (base 3) in base 12? 1081762 Convert -3124413 (base 6) to base 12. -73709 What is 13418998 (base 10) in base 2? 110011001100000111110110 Convert -1b7b49 (base 13) to base 6. -23021311 What is 101e390 (base 16) in base 7? 263441035 Convert 18aa1 (base 13) to base 3. 2102210020 Convert 1740491 (base 11) to base 5. 1224124231 Convert -16165651 (base 7) to base 9. -2841547 Convert 332e3 (base 16) to base 3. 101122120021 8a1a7e (base 16) to base 15 bdba85 What is -11001202000 (base 3) in base 16? -13881 3055411 (base 7) to base 12 158387 -23223323 (base 4) to base 16 -bafb What is 25452432 (base 9) in base 16? bea483 Convert -2844ac (base 13) to base 9. -1754214 -32001232220 (base 4) to base 11 -2091725 -12515355 (base 8) to base 14 -5297ad 32348b (base 13) to base 6 41131251 18d60 (base 16) to base 15 2021d What is 441502 (base 7) in base 5? 4434142 Convert -78a85 (base 13) to base 7. -1602236 Convert 30203121022 (base 4) to base 15. 45004d Convert 287231 (base 12) to base 16. a5085 751141 (base 8) to base 12 100b41 Convert 3b0665 (base 15) to base 4. 22310133131 3471611 (base 8) to base 13 272105 Convert 40052 (base 11) to base 16. e4fd What is -210303433 (base 5) in base 8? -3241573 -211215 (base 7) to base 13 -137a3 Convert 12131011132 (base 4) to base 5. 413120443 What is af980 (base 16) in base 2? 10101111100110000000 Convert 10120210111 (base 3) to base 7. 412504 -3670 (base 8) to base 12 -1188 300000211 (base 4) to base 15 3d3ea What is 1451a1 (base 13) in base 14? cd0b4 What is -1000110001010101011000 (base 2) in base 13? -6266b5 Convert 340200211 (base 5) to base 12. 5ba7b5 Convert 1000011110111001000100 (base 2) to base 11. 1289761 What is 110833 (base 12) in base 13? 96318 What is -1110430 (base 5) in base 13? -8b43 Convert 25656407 (base 8) to base 9. 11685747 Convert -648bfb (base 16) to base 11. -37a0816 Convert -11142203 (base 6) to base 9. -567423 What is 43c9aa (base 13) in base 6? 54134120 4421221 (base 5) to base 13 28a39 Convert 531c2 (base 14) to base 15. 3e6d8 -5121022 (base 7) to base 5 -124011323 Convert -103000202033 (base 4) to base 15. -686652 What is b12c6 (base 14) in base 8? 1477636 -4361222 (base 7) to base 8 -2026510 -1063605 (base 7) to base 9 -222863 What is 13135500 (base 8) in base 10? 2931520 -1b948b8 (base 12) to base 4 -112210310030 b63ca5 (base 13) to base 7 51150326 Convert -145196 (base 13) to base 4. -1321102232 -133030212 (base 4) to base 9 -214250 Convert -29ad2 (base 15) to base 6. -2512412 -331033330 (base 4) to base 6 -5213244 What is 849d8 (base 15) in base 14? ad480 779093 (base 11) to base 13 346389 26a713a (base 11) to base 7 54440341 Convert 215512 (base 7) to base 10. 37984 What is 1001110100111100000 (base 2) in base 10? 322016 -1403258 (base 9) to base 2 -10111011111111110111 What is 1011241331 (base 5) in base 8? 7657241 What is 10134404242 (base 5) in base 16? 9fb395 Convert -45326550 (base 7) to base 14. -747bd0 What is -20451332 (base 6) in base 16? -91f28 What is 100021200020122 (base 3) in base 2? 10010110100100110100011 What is -7c02 (base 14) in base 8? -52072 Convert 2881733 (base 9) to base 16. 183f60 Convert 59622 (base 14) to base 15. 448c2 Convert -1239a3 (base 11) to base 12. -951a0 4966b (base 12) to base 2 11000010001110011 Convert -1110322 (base 4) to base 9. -7407 Convert -4055484 (base 9) to base 4. -20033332312 -1120020210 (base 4) to base 16 -58224 -6732b (base 12) to base 3 -20221220022 What is 177a1b (base 13) in base 12? 244561 Convert -c15a3 (base 13) to base 5. -42032112 What is -110310311 (base 4) in base 2? -10100110100110101 1ad600 (base 14) to base 4 3222011300 Convert -25135133 (base 6) to base 10. -805953 -29677 (base 11) to base 5 -2321241 -a8215 (base 13) to base 6 -10301142 Convert -110d (base 15) to base 2. -111000011101 -10860c (base 16) to base 12 -442810 Convert -a1a4 (base 13) to base 5. -1203043 Convert -101353400 (base 6) to base 11. -a9aa67 -7da1d6 (base 16) to base 3 -120111022010212 632979 (base 10) to base 9 1164250 What is 447b4 (base 12) in base 3? 11121211101 12140430442 (base 5) to base 15 13e384c Convert 100000101111011100 (base 2) to base 7. 1065662 Convert 2031011030 (base 4) to base 12. 23a4b8 Convert -731893 (base 10) to base 14. -150a21 Convert 134514352 (base 6) to base 15. 393ed8 What is 1f694 (base 16) in base 14? 34c60 -22774 (base 12) to base 16 -b3c8 What is -142343440 (base 5) in base 10? -746745 What is 4035510 (base 6) in base
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 181 What is the third root of 3198 to the nearest integer? 15 What is 5273 to the power of 1/2, to the nearest integer? 73 What is 2090 to the power of 1/2, to the nearest integer? 46 What is 120122 to the power of 1/2, to the nearest integer? 347 What is 11285 to the power of 1/5, to the nearest integer? 6 What is the square root of 2140 to the nearest integer? 46 What is 6669 to the power of 1/3, to the nearest integer? 19 What is 1098 to the power of 1/4, to the nearest integer? 6 What is the cube root of 20937 to the nearest integer? 28 What is 15540 to the power of 1/5, to the nearest integer? 7 What is the square root of 205 to the nearest integer? 14 What is the cube root of 39505 to the nearest integer? 34 What is the third root of 288 to the nearest integer? 7 What is the eighth root of 37546 to the nearest integer? 4 What is the third root of 1278 to the nearest integer? 11 What is 18913 to the power of 1/4, to the nearest integer? 12 What is 521 to the power of 1/2, to the nearest integer? 23 What is the square root of 109 to the nearest integer? 10 What is the sixth root of 26919 to the nearest integer? 5 What is 776 to the power of 1/8, to the nearest integer? 2 What is 6032 to the power of 1/2, to the nearest integer? 78 What is 25682 to the power of 1/2, to the nearest integer? 160 What is 34262 to the power of 1/3, to the nearest integer? 32 What is the square root of 2717 to the nearest integer? 52 What is 3391 to the power of 1/8, to the nearest integer? 3 What is 2317 to the power of 1/9, to the nearest integer? 2 What is 49929 to the power of 1/4, to the nearest integer? 15 What is 6699 to the power of 1/4, to the nearest integer? 9 What is 846 to the power of 1/2, to the nearest integer? 29 What is the tenth root of 637 to the nearest integer? 2 What is 28572 to the power of 1/4, to the nearest integer? 13 What is 23127 to the power of 1/5, to the nearest integer? 7 What is the cube root of 2343 to the nearest integer? 13 What is the cube root of 2613 to the nearest integer? 14 What is 40748 to the power of 1/8, to the nearest integer? 4 What is 13968 to the power of 1/6, to the nearest integer? 5 What is 3607 to the power of 1/3, to the nearest integer? 15 What is the cube root of 16508 to the nearest integer? 25 What is 195 to the power of 1/7, to the nearest integer? 2 What is 2242 to the power of 1/2, to the nearest integer? 47 What is 1170 to the power of 1/9, to the nearest integer? 2 What is 10234 to the power of 1/3, to the nearest integer? 22 What is the fifth root of 26656 to the nearest integer? 8 What is the third root of 2062 to the nearest integer? 13 What is 23068 to the power of 1/2, to the nearest integer? 152 What is 13569 to the power of 1/2, to the nearest integer? 116 What is the cube root of 7930 to the nearest integer? 20 What is 272 to the power of 1/2, to the nearest integer? 16 What is 17042 to the power of 1/8, to the nearest integer? 3 What is the cube root of 23097 to the nearest integer? 28 What is the tenth root of 19350 to the nearest integer? 3 What is the third root of 2784 to the nearest integer? 14 What is the eighth root of 1050 to the nearest integer? 2 What is 177 to the power of 1/2, to the nearest integer? 13 What is 168767 to the power of 1/2, to the nearest integer? 411 What is the fifth root of 39131 to the nearest integer? 8 What is 25429 to the power of 1/3, to the nearest integer? 29 What is the third root of 305 to the nearest integer? 7 What is 3469 to the power of 1/3, to the nearest integer? 15 What is the square root of 1272 to the nearest integer? 36 What is the eighth root of 3843 to the nearest integer? 3 What is 1144 to the power of 1/3, to the nearest integer? 10 What is 111871 to the power of 1/5, to the nearest integer? 10 What is 4333 to the power of 1/4, to the nearest integer? 8 What is the square root of 128 to the nearest integer? 11 What is 1045 to the power of 1/8, to the nearest integer? 2 What is 1371 to the power of 1/2, to the nearest integer? 37 What is the fifth root of 4397 to the nearest integer? 5 What is the ninth root of 3852 to the nearest integer? 3 What is 33799 to the power of 1/2, to the nearest integer? 184 What is 1439 to the power of 1/3, to the nearest integer? 11 What is the third root of 481 to the nearest integer? 8 What is 7926 to the power of 1/6, to the nearest integer? 4 What is 46029 to the power of 1/2, to the nearest integer? 215 What is the cube root of 41078 to the nearest integer? 35 What is the cube root of 47485 to the nearest integer? 36 What is 5672 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 14732 to the nearest integer? 3 What is the sixth root of 7169 to the nearest integer? 4 What is 1739 to the power of 1/9, to the nearest integer? 2 What is 3265 to the power of 1/2, to the nearest integer? 57 What is 6405 to the power of 1/3, to the nearest integer? 19 What is 964 to the power of 1/3, to the nearest integer? 10 What is 4169 to the power of 1/3, to the nearest integer? 16 What is the cube root of 4560 to the nearest integer? 17 What is 1526 to the power of 1/3, to the nearest integer? 12 What is 80880 to the power of 1/2, to the nearest integer? 284 What is the cube root of 2118 to the nearest integer? 13 What is 551 to the power of 1/2, to the nearest integer? 23 What is 38069 to the power of 1/3, to the nearest integer? 34 What is 14619 to the power of 1/9, to the nearest integer? 3 What is 499 to the power of 1/2, to the nearest integer? 22 What is the third root of 3103 to the nearest integer? 15 What is the third root of 132460 to the nearest integer? 51 What is the sixth root of 56833 to the nearest integer? 6 What is 1879 to the power of 1/9, to the nearest integer? 2 What is the cube root of 3833 to the nearest integer? 16 What is 8650 to the power of 1/2, to the nearest integer? 93 What is the cube root of 37760 to the nearest integer? 34 What is the third root of 4505 to the nearest integer? 17 What is the cube root of 16093 to the nearest integer? 25 What is the cube root of 7127 to the nearest integer? 19 What is 6113 to the power of 1/2, to the nearest integer? 78 What is 20629 to the power of 1/7, to the nearest integer? 4 What is the square root of 5894 to the nearest integer? 77 What is 17070 to the power of 1/9, to the nearest integer? 3 What is 9498 to the power of 1/4, to the nearest integer? 10 What is 123026 to the power of 1/5, to the nearest integer? 10 What is 180 to the power of 1/6, to the nearest integer? 2 What is 8375 to the power of 1/2, to the nearest integer? 92 What is the seventh root of 151947 to the nearest integer? 5 What is the fifth root of 60067 to the nearest integer? 9 What is the square root of 3411 to the nearest integer? 58 What is the tenth root of 2177 to the nearest integer? 2 What is 12879 to the power of 1/2, to the nearest integer? 113 What is 2242 to the power of 1/5, to the nearest integer? 5 What is 99824 to the power of 1/2, to the nearest integer? 316 What is the cube root of 14198 to the nearest integer? 24 What is the eighth root of 7589 to the nearest integer? 3 What is 90923 to the power of 1/3, to the nearest integer? 45 What is the seventh root of 24988 to the nearest integer? 4 What is 130095 to the power of 1/10, to the nearest integer? 3 What is the third root of 355 to the nearest integer? 7 What is 2769 to the power of 1/2, to the nearest integer? 53 What is the seventh root of 38632 to the nearest integer? 5 What is the tenth root of 21066 to the nearest integer? 3 What is the fourth root of 6306 to the nearest integer? 9 What is 29354 to the power of 1/2, to the nearest integer? 171 What is the third root of 17821 to the nearest integer? 26 What is the square root of 4729 to the nearest integer? 69 What is 863 to the power of 1/3, to the nearest integer? 10 What is 28690 to the power of 1/3, to the nearest integer? 31 What is the seventh root of 140602 to the nearest integer? 5 What is the third root of 3475 to the nearest integer? 15 What is the square root of 89998 to the nearest integer? 300 What is 15360 to the power of 1/3, to the nearest integer? 25 What is 2319 to the power of 1/9, to the
{ "pile_set_name": "DM Mathematics" }
/9, 0.3 Sort -2, 3, -102. -102, -2, 3 Put -5, -4, -38 in descending order. -4, -5, -38 Sort -0.3, 2/107, -4/7 in ascending order. -4/7, -0.3, 2/107 Put -1, -2, -6, 1, -4 in decreasing order. 1, -1, -2, -4, -6 Sort -3, 5, -41, -5 in decreasing order. 5, -3, -5, -41 Sort 4, -4, 200. -4, 4, 200 Sort -0.2, 239, 2 in descending order. 239, 2, -0.2 Put -4, 22, -76 in descending order. 22, -4, -76 Sort 47, -1/2, 3 in ascending order. -1/2, 3, 47 Put 8, 216, -1, 1 in ascending order. -1, 1, 8, 216 Sort 24, -2, -4 in ascending order. -4, -2, 24 Put 191, 0.1, 0 in decreasing order. 191, 0.1, 0 Sort -4, 3, 5, -3 in descending order. 5, 3, -3, -4 Sort -0.08, 0, 16. -0.08, 0, 16 Put -4, -415, 4 in descending order. 4, -4, -415 Sort 5, 31/6, 1/2, 0 in ascending order. 0, 1/2, 5, 31/6 Put 0, -0.2, -2, 0.4, -0.05 in decreasing order. 0.4, 0, -0.05, -0.2, -2 Put -4/5, -2/7, 6, -0.2 in descending order. 6, -0.2, -2/7, -4/5 Sort -5, 170, 2, -2/17. -5, -2/17, 2, 170 Sort 14/11, 1, 0.4, -0.2 in decreasing order. 14/11, 1, 0.4, -0.2 Sort 9, 4, 6, 5, 0 in decreasing order. 9, 6, 5, 4, 0 Put -0.6, -2, 0.2 in increasing order. -2, -0.6, 0.2 Sort -0.3, 0.2, -32 in ascending order. -32, -0.3, 0.2 Sort -5, -2/13, -29, -4. -29, -5, -4, -2/13 Sort 5, 1.2, -60 in increasing order. -60, 1.2, 5 Sort 1, 4, 3, -20 in decreasing order. 4, 3, 1, -20 Put -0.5, -2/7, -0.2, -96 in descending order. -0.2, -2/7, -0.5, -96 Sort -13, -394, 0 in increasing order. -394, -13, 0 Sort -6, 0, -22, -27 in increasing order. -27, -22, -6, 0 Put -19, -4, -3, 4 in descending order. 4, -3, -4, -19 Sort -0.39, -3/5, 0, -0.06 in increasing order. -3/5, -0.39, -0.06, 0 Put -3/163, -2, -0.4, -4 in descending order. -3/163, -0.4, -2, -4 Put -1, -87, -2/11, 3/2 in increasing order. -87, -1, -2/11, 3/2 Sort 2, 1, -4, -1 in descending order. 2, 1, -1, -4 Put 0.01, 0.4, -0.4, -0.1, -44 in descending order. 0.4, 0.01, -0.1, -0.4, -44 Put 4, 5, 12, -32 in descending order. 12, 5, 4, -32 Put 3/4, -0.1, 4/9, -5, -25 in decreasing order. 3/4, 4/9, -0.1, -5, -25 Put 4, 2/21, 0.1, 5 in decreasing order. 5, 4, 0.1, 2/21 Put 1, -12, -14, 4, -1 in increasing order. -14, -12, -1, 1, 4 Put -1/2, -53, 7/3, 2, 0 in ascending order. -53, -1/2, 0, 2, 7/3 Put 1/3, 4/557, -10 in descending order. 1/3, 4/557, -10 Put 0.06, 3/7, -29, 0, 2/5 in decreasing order. 3/7, 2/5, 0.06, 0, -29 Sort 0.2, -1/9, 1, -0.1, -4.17. -4.17, -1/9, -0.1, 0.2, 1 Sort 0, 141, -5, 2 in ascending order. -5, 0, 2, 141 Put -9, -3, -2, -4 in ascending order. -9, -4, -3, -2 Sort 0.087, -4, -3 in ascending order. -4, -3, 0.087 Sort 85, -4, 0, 5. -4, 0, 5, 85 Put 25, -7, 0, 2 in ascending order. -7, 0, 2, 25 Sort -0.4, -0.8, -1, 2/9. -1, -0.8, -0.4, 2/9 Sort -1, -2, 34, 1 in ascending order. -2, -1, 1, 34 Put 81, 3, -12, 1 in descending order. 81, 3, 1, -12 Sort 5, -3, 6 in increasing order. -3, 5, 6 Put -0.4, 3, -0.1, -1/8 in ascending order. -0.4, -1/8, -0.1, 3 Sort 3, -4, 1, 56, 5. -4, 1, 3, 5, 56 Put -1, 3, 49 in descending order. 49, 3, -1 Put 5, -15, -24 in descending order. 5, -15, -24 Put -1, 0, 6, 2, 8 in ascending order. -1, 0, 2, 6, 8 Put 72, -1/3, 5, 4, -5 in descending order. 72, 5, 4, -1/3, -5 Sort -24, 5, -1, 0 in increasing order. -24, -1, 0, 5 Sort -2, -6, -14 in ascending order. -14, -6, -2 Put 1, -7, 25, -5, 5 in descending order. 25, 5, 1, -5, -7 Sort -5, -3/7, 25, 3/2. -5, -3/7, 3/2, 25 Put -1023, 4, -1/2, -2/3 in ascending order. -1023, -2/3, -1/2, 4 Put -115, -5, 5 in descending order. 5, -5, -115 Put 1, -0.4, -5, 0.077, -0.1 in decreasing order. 1, 0.077, -0.1, -0.4, -5 Sort 2, 1, -2, 25, -9 in increasing order. -9, -2, 1, 2, 25 Put -4, -49, 0.4, 4 in descending order. 4, 0.4, -4, -49 Put -2/9, -9, 1/4, 3/4 in decreasing order. 3/4, 1/4, -2/9, -9 Sort 0.03, -1, -45, -0.4. -45, -1, -0.4, 0.03 Put 2/11, -0.3, 13, -1 in decreasing order. 13, 2/11, -0.3, -1 Sort 1/3, 4, 4/227. 4/227, 1/3, 4 Put -2/3, 10, -2 in descending order. 10, -2/3, -2 Put 11, 0.4, 0, 0.02 in increasing order. 0, 0.02, 0.4, 11 Put 1, -2, -3, 5 in decreasing order. 5, 1, -2, -3 Sort -2, 3, 53. -2, 3, 53 Sort 30, 4, -4 in descending order. 30, 4, -4 Put 1/3, 23, -1 in decreasing order. 23, 1/3, -1 Put -6, -3, 3, -1, -61 in decreasing order. 3, -1, -3, -6, -61 Put -11, 120, 0 in descending order. 120, 0, -11 Sort -4, -6, 1. -6, -4, 1 Sort -5/6, -4, -1, 5 in increasing order. -4, -1, -5/6, 5 Sort -3, 3, 6, 4, 2 in decreasing order. 6, 4, 3, 2, -3 Sort 0, 5, 306 in decreasing order. 306, 5, 0 Put 5, -64, 1 in descending order. 5, 1, -64 Put -2/9, -17, -4, 22 in descending order. 22, -2/9, -4, -17 Put -2, -39, -0.09 in ascending order. -39, -2, -0.09 Put -5, -1, 4, 21, 5 in descending order. 21, 5, 4, -1, -5 Sort 4, 0, -7, 2 in increasing order. -7, 0, 2, 4 Sort -2, -1, 0 in descending order. 0, -1, -2 Sort 18, 4, 5, 6 in decreasing order. 18, 6, 5, 4 Sort 2/7, 4, 19, 5. 2/7, 4, 5, 19 Sort -3/5, 0.4, -57, 8, 3 in increasing order. -57, -3/5, 0.4, 3, 8 Sort 12, 3, -5, 4 in decreasing order. 12, 4, 3, -5 Put 0.02, 0.5, 2/7, 3, 1 in descending order. 3, 1, 0.5, 2/7, 0.02 Put -2/3, 0.3, 55, -1/9, 2/7 in decreasing order. 55, 0.3, 2/7, -1/9, -2/3 Sort -4, -0.053, 0.4 in descending order. 0.4, -0.053, -4 Sort -9, 1/2, 1, 2 in descending order. 2, 1, 1/2, -9 Sort 0.2, 2, -3, -96 in increasing order. -96, -3, 0.2, 2 Sort 464, -4, -6 in descending order. 464, -4, -6 Sort 0, -55, -1/5 in ascending order. -55, -1/5, 0 Put -5, 7, 3, -4 in descending order. 7, 3, -4, -5 Sort 3, -23, -326. -326, -23, 3 Sort -3, 0, -8, -26, 3/4 in increasing order. -26, -8, -3, 0, 3/4 Put 3, -4, 366, 1 in increasing order. -4, 1, 3, 366 Put 0, -5, 1, -0.4 in ascending order. -5, -0.4, 0, 1 Put -1/9, 2/17, -0.5, -0.4, 0.09 in descending order. 2/17, 0.09, -1/9, -0.4, -0.5 Put -8.9, -2/17, -2/15, 0.5 in increasing order. -8.9, -2/15, -2/17, 0.5 Put 125, -1, -5, 12 in ascending order. -5, -1, 12, 125 Sort 4, 3, -453 in ascending order. -453, 3, 4 Sort 0.1, -3/8, -0.2, 3 in increasing order. -3/8, -0.2, 0.1, 3 Sort 136, -5, 0 in ascending order. -5, 0, 136 Put -1, -2, 51 in descending order. 51, -1, -2 Put 4, 3, -226 in descending order. 4, 3, -226 Sort -4, 0.4, 0, 0.6, 2 in ascending order. -4, 0, 0.4, 0.6, 2 Put 1, -0.4, 8, -1, 3 in ascending order. -1, -0.4, 1, 3, 8 Put 1/5, -4, -3/28 in descending order. 1/5, -3/28, -4 Sort -246, -4, 8 in increasing order. -246, -4, 8 Sort -9, 0, -3 in descending order. 0, -3, -9 Put -8, 3/17, -1/6, 0.4, -5 in decreasing order. 0.4, 3/17, -1/6, -5, -8 Sort -0.4, -0.05, -5, -0.04 in decreasing order. -0.04, -0.05, -0.4, -5 Sort 3.3, -1, 0.32. -1, 0.32, 3.3 Put -3, 5, -5, 0, 4 in decreasing order. 5, 4, 0, -3, -5 Sort 3, 12/11, 0.3, 2 in increasing order. 0.3, 12/11, 2, 3 Put -1, 1.39, 3, 2, 11 in decreasing order. 11, 3, 2, 1.39, -1 Sort -2, 4, -36/53 in ascending order. -2, -36/53, 4 Sort 0.4, 7, -2/13, 0.5 in ascending order. -2/13, 0.4, 0.5, 7 Sort 5, 1, -2, 32 in ascending order. -2, 1, 5, 32 Put 2/9, 1/4, -3, -3.81 in descending order. 1/4, 2/9, -3, -3.81 Sort 0, 1, 2, 37. 0, 1, 2, 37 Sort -2, 42, -5 in increasing order. -5, -2, 42 Sort 0.2, 3/4, -4, 0, -28 in descending order. 3/4, 0.2, 0, -4, -28 Sort 5, 11, 18, 0. 0, 5, 11, 18 Put 68, 2, -1, -13 in decreasing order. 68, 2, -1, -13 Sort 3, -25, 4, -4. -25, -4, 3, 4 Sort 30, -9, -1. -9, -1, 30 Put 3/8, 0, -66 in descending order. 3/8, 0, -66 Sort -7/18, -4, 0.1, -1/3 in ascending order. -4, -7/18, -1/3, 0.1 Sort -3, -1/3, 23.5 in descending order. 23.5, -1/3, -3 Put 1, 10, -5, -3, -2 in decreasing order. 10, 1, -2, -3, -5 Sort 2, -1, 20. -1, 2, 20 Put -1/4, -4, 1/17 in decreasing order. 1/17, -1/4, -4 Sort -2, 11/2, -1, 11 in decreasing order. 11, 11/2, -1, -2 Put 3, -3, 5, -1, -1/8 in descending order. 5, 3, -1/8, -1, -3 Put -50, 0, 2, 4 in descending order. 4, 2, 0, -50 Put -2, 377, 4 in decreasing order. 377, 4, -2 Put -9, 3, -107 in descending order. 3, -9, -107 Sort 2, -0.5, -0.2, 2/3, -0.59. -0.59, -0.5, -0.2, 2/3, 2 Sort 0.5, 4/7, -0.1, 4, -0.6 in descending order. 4, 4/7, 0.5, -0.1, -0.6 Put -6, 42, 3 in increasing order. -6, 3, 42 Put 0.3, -3, 0.4, 2/37, 1/4 in ascending order. -3, 2/37, 1/4, 0.3, 0.4 Sort 5, -4, -0.4, 12/7 in increasing order. -4, -0.4, 12/7, 5 Sort 0.1, -65.1, 1/8 in increasing orde
{ "pile_set_name": "DM Mathematics" }
48 to the nearest integer? 94 What is the third root of 9347765 to the nearest integer? 211 What is 764556 to the power of 1/9, to the nearest integer? 5 What is the eighth root of 2027770 to the nearest integer? 6 What is 415449 to the power of 1/8, to the nearest integer? 5 What is the square root of 2115781 to the nearest integer? 1455 What is 26414231 to the power of 1/7, to the nearest integer? 11 What is the square root of 146711 to the nearest integer? 383 What is the tenth root of 13944617 to the nearest integer? 5 What is 771002 to the power of 1/4, to the nearest integer? 30 What is the square root of 238936 to the nearest integer? 489 What is 3538150 to the power of 1/9, to the nearest integer? 5 What is 6361136 to the power of 1/3, to the nearest integer? 185 What is the square root of 1587206 to the nearest integer? 1260 What is the third root of 553409 to the nearest integer? 82 What is 241253 to the power of 1/9, to the nearest integer? 4 What is 3316141 to the power of 1/7, to the nearest integer? 9 What is the sixth root of 8179974 to the nearest integer? 14 What is 30314385 to the power of 1/4, to the nearest integer? 74 What is the third root of 112514 to the nearest integer? 48 What is the sixth root of 1882672 to the nearest integer? 11 What is 66820 to the power of 1/10, to the nearest integer? 3 What is 279353 to the power of 1/4, to the nearest integer? 23 What is the third root of 2469541 to the nearest integer? 135 What is 469193 to the power of 1/2, to the nearest integer? 685 What is the third root of 14224711 to the nearest integer? 242 What is the ninth root of 639586 to the nearest integer? 4 What is 7362179 to the power of 1/3, to the nearest integer? 195 What is the cube root of 6673695 to the nearest integer? 188 What is the cube root of 1044848 to the nearest integer? 101 What is 82312 to the power of 1/7, to the nearest integer? 5 What is 12635 to the power of 1/7, to the nearest integer? 4 What is the square root of 33158932 to the nearest integer? 5758 What is the eighth root of 1264397 to the nearest integer? 6 What is the third root of 2726651 to the nearest integer? 140 What is 1329842 to the power of 1/9, to the nearest integer? 5 What is 4236975 to the power of 1/8, to the nearest integer? 7 What is 5369204 to the power of 1/3, to the nearest integer? 175 What is 78998 to the power of 1/3, to the nearest integer? 43 What is 1581332 to the power of 1/3, to the nearest integer? 117 What is the fourth root of 246710 to the nearest integer? 22 What is the square root of 709297 to the nearest integer? 842 What is 643470 to the power of 1/9, to the nearest integer? 4 What is 2596951 to the power of 1/8, to the nearest integer? 6 What is the fifth root of 97335 to the nearest integer? 10 What is the third root of 52612 to the nearest integer? 37 What is the square root of 424079 to the nearest integer? 651 What is the third root of 1857104 to the nearest integer? 123 What is the cube root of 2305287 to the nearest integer? 132 What is the tenth root of 1951352 to the nearest integer? 4 What is 221253 to the power of 1/6, to the nearest integer? 8 What is 2532857 to the power of 1/3, to the nearest integer? 136 What is the cube root of 928422 to the nearest integer? 98 What is the sixth root of 278349 to the nearest integer? 8 What is the cube root of 477592 to the nearest integer? 78 What is 705398 to the power of 1/5, to the nearest integer? 15 What is the third root of 3401934 to the nearest integer? 150 What is 512254 to the power of 1/2, to the nearest integer? 716 What is 197497 to the power of 1/2, to the nearest integer? 444 What is the square root of 3322808 to the nearest integer? 1823 What is the square root of 15666 to the nearest integer? 125 What is the cube root of 1677404 to the nearest integer? 119 What is 9895925 to the power of 1/2, to the nearest integer? 3146 What is the square root of 101523 to the nearest integer? 319 What is 5672545 to the power of 1/2, to the nearest integer? 2382 What is the cube root of 226397 to the nearest integer? 61 What is the third root of 45188 to the nearest integer? 36 What is 107608 to the power of 1/2, to the nearest integer? 328 What is the third root of 1155840 to the nearest integer? 105 What is the square root of 144460 to the nearest integer? 380 What is 7061165 to the power of 1/2, to the nearest integer? 2657 What is 16140784 to the power of 1/5, to the nearest integer? 28 What is 4950721 to the power of 1/5, to the nearest integer? 22 What is 4766015 to the power of 1/3, to the nearest integer? 168 What is 13492265 to the power of 1/2, to the nearest integer? 3673 What is 6811 to the power of 1/5, to the nearest integer? 6 What is 593217 to the power of 1/4, to the nearest integer? 28 What is the ninth root of 2585065 to the nearest integer? 5 What is the ninth root of 222075 to the nearest integer? 4 What is the cube root of 3513888 to the nearest integer? 152 What is 172856 to the power of 1/5, to the nearest integer? 11 What is 2466758 to the power of 1/2, to the nearest integer? 1571 What is 209111 to the power of 1/2, to the nearest integer? 457 What is the square root of 2645758 to the nearest integer? 1627 What is the third root of 9498442 to the nearest integer? 212 What is the fourth root of 1135874 to the nearest integer? 33 What is 250881 to the power of 1/2, to the nearest integer? 501 What is 10561184 to the power of 1/3, to the nearest integer? 219 What is 153294 to the power of 1/2, to the nearest integer? 392 What is 235447 to the power of 1/2, to the nearest integer? 485 What is 156456 to the power of 1/8, to the nearest integer? 4 What is the third root of 13221120 to the nearest integer? 236 What is 574522 to the power of 1/2, to the nearest integer? 758 What is 124966 to the power of 1/2, to the nearest integer? 354 What is 628512 to the power of 1/4, to the nearest integer? 28 What is 7703199 to the power of 1/2, to the nearest integer? 2775 What is the sixth root of 6633009 to the nearest integer? 14 What is 6054120 to the power of 1/5, to the nearest integer? 23 What is the third root of 164496 to the nearest integer? 55 What is the seventh root of 456815 to the nearest integer? 6 What is 525503 to the power of 1/10, to the nearest integer? 4 What is 284548 to the power of 1/2, to the nearest integer? 533 What is the cube root of 270714 to the nearest integer? 65 What is the third root of 6282010 to the nearest integer? 185 What is the third root of 361572 to the nearest integer? 71 What is the square root of 2409457 to the nearest integer? 1552 What is 203717 to the power of 1/7, to the nearest integer? 6 What is the third root of 3561088 to the nearest integer? 153 What is the square root of 474055 to the nearest integer? 689 What is the ninth root of 3492594 to the nearest integer? 5 What is the square root of 3145425 to the nearest integer? 1774 What is 2066693 to the power of 1/3, to the nearest integer? 127 What is the third root of 297777 to the nearest integer? 67 What is the square root of 2511101 to the nearest integer? 1585 What is the tenth root of 3312384 to the nearest integer? 4 What is the fifth root of 207675 to the nearest integer? 12 What is the square root of 104588 to the nearest integer? 323 What is 5238139 to the power of 1/7, to the nearest integer? 9 What is 5372903 to the power of 1/3, to the nearest integer? 175 What is the tenth root of 3343571 to the nearest integer? 4 What is 101573 to the power of 1/2, to the nearest integer? 319 What is the square root of 14181343 to the nearest integer? 3766 What is 184256 to the power of 1/4, to the nearest integer? 21 What is 747357 to the power of 1/10, to the nearest integer? 4 What is the cube root of 139565 to the nearest integer? 52 What is 1680815 to the power of 1/2, to the nearest integer? 1296 What is the third root of 402182 to the nearest integer? 74 What is 205793 to the power of 1/5, to the nearest integer? 12 What is the cube root of 571946 to the nearest integer? 83 What is 98701 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 333626 to the nearest integer? 6 What is the cube root of 472350 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
f y and m? 4 Let h be 1 + 35 + (-1)/(-1). Let b be (-2 - -76)*66/132. What is the greatest common factor of h and b? 37 Let z = -43 + 41. Let b be (4*(-21)/(-24))/(z/(-32)). Calculate the greatest common divisor of 8 and b. 8 Suppose -u + 10 = 2*w, -1 + 7 = 2*w - u. Suppose -4*j + 2*j = w*d - 264, 0 = -5*j + d + 682. Calculate the highest common factor of j and 8. 8 Suppose -3*s + 1200 = 4*u, -5*u = -5*s - 2000 + 535. Let g be (-7)/(35/(-135))*(1 - 0). What is the highest common divisor of g and u? 27 Let i(j) be the second derivative of -j**5/20 + j**4/6 + 4*j**3/3 - 3*j**2/2 + 10*j. Let s be i(3). Calculate the highest common divisor of 18 and s. 6 Suppose 3*c = 3*n - 6*n + 72, -3*c = 4*n - 72. Calculate the highest common divisor of 60 and c. 12 Let g(m) = m**3 + 11*m**2 + 9*m - 9. Let n be g(-11). Let i be n/(-8) - (-12)/8. Let k = 3 - -12. Calculate the highest common factor of k and i. 15 Let i be (2440/(-200))/((-1)/5). Calculate the highest common factor of i and 244. 61 Let o = 656 - 425. Calculate the greatest common factor of o and 33. 33 Let r(k) = 7*k**3 + 3*k**2 - 2*k + 2. Let t be r(2). What is the highest common factor of 286 and t? 22 Let w be 1/(1 + (-14)/21) + 37. Calculate the greatest common factor of 88 and w. 8 Suppose -2*b = -5*b - v + 148, -104 = -2*b - 2*v. What is the highest common factor of b and 84? 12 Suppose 0 = -k + 3*k + 18. Let r be ((-16)/(-12))/(6/k). Let z be (-45)/r*120/25. Calculate the greatest common factor of 27 and z. 27 Suppose -3564 - 461 = -35*q. What is the greatest common factor of 5 and q? 5 Suppose 5*w - 565 = -210. Suppose 72*p - 28 = w*p. Calculate the greatest common factor of 4 and p. 4 Let c be (4/8*10)/((-1)/(-4)). Let d(b) = -b**2 - 14*b - 5. Let o be d(-13). What is the highest common factor of c and o? 4 Let w(p) = -p**2 - 5*p + 5. Let m be w(-4). Suppose 0*d + 4*d + 72 = 0. Let b be (-7)/(-2) - (-9)/d. Calculate the greatest common divisor of b and m. 3 Let d be ((-3)/4)/(3/(-12)). Suppose 3*s - 75 = 5*x + 118, 367 = 5*s + d*x. Suppose 4*m - s = 169. Calculate the greatest common divisor of m and 24. 12 Let b = 51 + -25. Let f = b - 14. Calculate the highest common divisor of f and 18. 6 Let t = 1732 - 1316. Calculate the greatest common factor of 156 and t. 52 Suppose -9*w + 132 = -6*w. Calculate the highest common factor of 33 and w. 11 Suppose 7*x = 43 + 48. Calculate the greatest common divisor of 390 and x. 13 Suppose -4*b - 2*n = -70, 2*b - 3*n = 6*b - 69. Let p = -1521 + 1575. Calculate the greatest common factor of p and b. 18 Suppose -47*j = -28*j - 646. Calculate the highest common factor of j and 612. 34 Suppose x + 0*j + 3*j = 42, -5*x + 5*j = -150. Calculate the highest common divisor of 22 and x. 11 Let q(l) = -2*l - 118. Let w be q(0). Let m = -169 - w. Let d = -3 - m. What is the greatest common divisor of d and 6? 6 Suppose 5*n + 994 = 144. Let q be 1*2*(n/4)/(-5). Calculate the greatest common factor of q and 17. 17 Let x(p) = 105*p**2 + 1. Let m be x(1). Suppose m = 2*l - 286. Suppose 1 = -2*y - 9, 4*y = -4*b + l. Calculate the highest common factor of 36 and b. 18 Suppose 235 = -4*p - o, -4*o + 320 = 4*p - 9*p. Let a = p + 64. Calculate the greatest common factor of 10 and a. 2 Suppose -p - 3*s - 190 = -757, 0 = -p - 2*s + 562. Calculate the greatest common factor of p and 46. 46 Let v be (9/(45/10))/(2/253). Calculate the highest common divisor of v and 22. 11 Suppose 73*v - 54987 + 7829 = 0. What is the highest common divisor of v and 34? 34 Let n(p) = 689*p + 0 - 679*p - p**2 + 2. Let f be n(7). What is the greatest common factor of 207 and f? 23 Let a be (-7)/((-14)/20)*1. Let g(j) = -j**2 + 12*j - 15. Let x be g(a). Calculate the greatest common divisor of 5 and x. 5 Suppose -317 - 271 = -14*s. What is the greatest common factor of 28 and s? 14 Let x(m) = -m**3 + 10*m**2 - 15*m + 4. Let b be x(8). Let j be (-42)/(-9) + 4/b. Calculate the greatest common divisor of j and 45. 5 Suppose -71 = -3*u + p, u - 4*u = 5*p - 59. Let g = 27 - u. Suppose -9*x + g*x + 300 = 0. What is the greatest common factor of 20 and x? 20 Let m(y) = -64*y - 105. Let g be m(-6). Calculate the greatest common divisor of 31 and g. 31 Suppose r + 2*x - 126 = 0, -3*r = -2*x - 2*x - 398. Let w be (-15)/25 + (-789)/(-15). Calculate the highest common factor of w and r. 26 Let h(d) = 2 - 4 - 4 - 28*d + 2*d. Let z be h(-4). Calculate the highest common factor of z and 14. 14 Suppose -3*m + 62 = -3*a - 55, -5*m = 3*a - 211. What is the greatest common divisor of 41 and m? 41 Suppose -j - 51 = -2*a, -18*a = -22*a + 3*j + 105. Calculate the highest common factor of 84 and a. 12 Let h = -5 + 177. Suppose 2*l = 184 + h. Suppose l = 5*r + u, 0*r + 3*u = -4*r + 149. Calculate the greatest common factor of r and 14. 7 Let f be (-115)/(-9) - 6/(-27). Let n = -43 - -31. Let b = n + 25. What is the highest common divisor of b and f? 13 Suppose -36*v = -444 - 24. What is the highest common divisor of 2340 and v? 13 Suppose 3*i - 78 = -30. Let u = i - 9. Suppose -2*o + 8 = -d, o + 4*d + u = 29. Calculate the highest common factor of 48 and o. 6 Let s be 3421/55 + (-2)/10. Suppose -2 = -z - 4, -3*g - 3*z = -273. Calculate the greatest common divisor of s and g. 31 Let b be 29 - (0 - -2 - 1). Let m = -282 - -286. What is the highest common factor of b and m? 4 Suppose -5*x + 12 = 5*a - 13, -5*x = -2*a - 25. Suppose 0 = -2*u + 2*j + 28, 2*u - x*u - 3*j = -24. What is the highest common divisor of u and 99? 11 Let n = 16 - 7. Suppose -6*m = -11*m + 10. Let w be m/3 + 14/6. Calculate the highest common divisor of w and n. 3 Suppose 0 = -15*h + 6*h + 3915. Calculate the highest common factor of 30 and h. 15 Suppose a = 4*f - 283, -4*a - 268 = -2*f - 2*f. Let x be (-6)/33 - f/(-33). Let y be (0 - x) + 128/1. Calculate the greatest common factor of 18 and y. 18 Let m = 32 + -28. Let j be 3 - (m + 2*-33). Calculate the greatest common divisor of 26 and j. 13 Let j = 245 + -222. Calculate the greatest common divisor of j and 23. 23 Let y(k) = -59*k - 448. Let j be y(-8). Let p = 27 - 15. Calculate the highest common divisor of p and j. 12 Let t = -195 - -221. What is the greatest common divisor of t and 169? 13 Let d(g) = 18*g - 322. Let p be d(49). Calculate the highest common divisor of p and 100. 20 Let n be 2 - ((-2)/(-8) + (-6)/(-8)). Let z(g) = 12*g - 2. Let i be z(n). Calculate the highest common divisor of i and 2. 2 Suppose 32 - 11 = 5*z - 4*f, 0 = -z + 4*f + 1. Suppose 3*a + z*x = 76, -a + 4*a + x = 68. What is the highest common factor of a and 11? 11 Suppose -2*o + 328 = 4*w, -5*o - 35*w = -32*w - 785. What is the highest common factor of o and 66? 22 Let m be 20/50 - 4556/(-10). Suppose 4*o = -5*q + 723, -4*o - o - m = -3*q. Calculate the greatest common divisor of q and 21. 21 Let q(n) = 5*n**2 - 2*n + 1. Let r be q(1). Let a(z) = 4*z - 6. Let s be a(5). Let t = s + -8. Calculate the greatest common factor of t and r. 2 Let l be (-2)/5 - 192/(-80). Suppose l*s = -3*u + 4, 13 - 4 = 5*u + s. Let x be 1 + -1 - (-5 + -1). What is the greatest common factor of u and x? 2 Let q(p) = p**3 + p**2 - 3*p + 1. Let h be q(2). Suppose 4*g + r = -18, -2*g - r + 12 = -4*g. Let w = h + g. What is the greatest common divisor of 8 and w? 2 Let t = -3 - -6. Let b be (-18)/(-99) + (-62)/(-22). Suppose 75 = 2*f + b*f. What is the highest common factor of t and f? 3 Let c(n) = -n**2 - 76*n - 345. Let p be c(-70). What is the greatest common factor of 25 and p? 25 Suppose 0 = 15*b + 6*b - 42. Suppose z + 2*z = 4*p, 2*p - b = z. Suppose -r = -6*r + 20. What is the highest common divisor of z and r? 4 Let q(j) be the first derivative of 2*j**3/3 - 2*j + 2. Let n be q(-4). Let b be 21/(-14) - 30/(-4). What is the highest common factor of b and n? 6 Let a(t) = -40*t - 440. Let n be a(-13). Calculate the greatest common divisor of 208 and n. 16 Suppose 0*i + 3*i - 150 = 0. Let w(v) = -17*v**2 - 154*v + 1. Let o be w(-9). What is the greatest common factor of o and i? 10 Let i be (0 - 0) + -1 - -7. Suppose -58*m + 54*m = -12. Suppose -9*h + m = -78. Calculate the highest common divisor of i and h. 3 Suppose 5*m = -0 + 55. Let f(j) = j**2 + 4*j - 10. Let c be (-4)/(-8) - (-51)/(-6). Let w be f(c). What is the highest common f
{ "pile_set_name": "DM Mathematics" }
832*g - 10816 = 0. What is g? -26, -1, 2 Factor -3*r**5 + 3*r**4 + 24*r**3 - 36*r**2. -3*r**2*(r - 2)**2*(r + 3) Factor 5*j**2 + 820*j + 33620. 5*(j + 82)**2 Factor -i**2 + 264*i - 17424. -(i - 132)**2 Solve -5*d**4/3 - 5275*d**3/3 - 462880*d**2 + 464640*d = 0. -528, 0, 1 Suppose 5*p**5 + 45*p**4 - 125*p**3 - 125*p**2 + 420*p - 220 = 0. What is p? -11, -2, 1, 2 What is i in -11*i**5/5 - 9*i**4/5 + 24*i**3/5 - 4*i**2/5 = 0? -2, 0, 2/11, 1 Suppose -4*q**4/9 - 1408*q**3/9 - 2280*q**2 - 101600*q/9 - 168500/9 = 0. What is q? -337, -5 Solve 2*x**4/7 + 6*x**3 + 288*x**2/7 + 104*x + 480/7 = 0 for x. -10, -6, -4, -1 Factor 3*k**4/4 + 63*k**3/4 - 3*k**2/4 - 63*k/4. 3*k*(k - 1)*(k + 1)*(k + 21)/4 Factor 4*a**3/7 + 220*a**2/7 - 964*a/7 - 1180/7. 4*(a - 5)*(a + 1)*(a + 59)/7 Suppose 2*y**3/5 - 38*y**2/5 - 28*y + 176/5 = 0. What is y? -4, 1, 22 Let -8*j**5 + 68*j**4 - 188*j**3 + 176*j**2 + 16*j - 64 = 0. Calculate j. -1/2, 1, 2, 4 Factor 2*t**5/5 - 42*t**4/5 + 30*t**3 + 722*t**2/5 + 816*t/5 + 288/5. 2*(t - 12)**2*(t + 1)**3/5 Factor 16*v**2/3 - v/3 - 5. (v - 1)*(16*v + 15)/3 Factor -3*z**3/5 + 24*z**2/5 - 51*z/5 + 6. -3*(z - 5)*(z - 2)*(z - 1)/5 Factor 2*q**3/3 - 98*q**2/3 + 188*q/3. 2*q*(q - 47)*(q - 2)/3 Find l, given that -3*l**3 + 252*l**2 + 261*l - 510 = 0. -2, 1, 85 What is i in 5*i**3/4 - 5*i**2/2 - 475*i/4 - 375 = 0? -5, 12 Let -p**3/5 + 153*p**2/5 - 152*p/5 = 0. Calculate p. 0, 1, 152 Solve k**3/7 + 677*k**2/7 - 194*k = 0 for k. -679, 0, 2 Solve 2*n**3 - 808*n**2 + 81608*n = 0. 0, 202 Find s such that -3*s**3/4 + 156*s**2 + 1893*s/4 + 633/2 = 0. -2, -1, 211 Solve -v**5/2 + 7*v**4/2 + 28*v**3 - 106*v**2 - 608*v - 640 = 0. -5, -2, 8 Find y, given that -y**5/2 + 91*y**4/2 + 141*y**3 + 2*y**2 - 188*y = 0. -2, 0, 1, 94 Factor 3*w**4 - 6*w**3 - 15*w**2 + 18*w. 3*w*(w - 3)*(w - 1)*(w + 2) Solve -2*g**4/9 - 38*g**3/9 + 40*g**2/9 = 0. -20, 0, 1 Factor 3*y**2/2 + 65*y/6 + 50/3. (y + 5)*(9*y + 20)/6 Solve w**2/5 - 12*w/5 + 11/5 = 0 for w. 1, 11 Suppose -288*r**4 + 816*r**3 - 434*r**2 - 90*r - 4 = 0. What is r? -1/12, 1, 2 Solve -14*g**2/9 + 6952*g/9 - 3968/9 = 0. 4/7, 496 Find h such that 2*h**4 - 22*h**3 = 0. 0, 11 Find u such that 2*u**4/3 - 10*u**2/3 + 8/3 = 0. -2, -1, 1, 2 Find k such that -k**4 - 234*k**3 - 13921*k**2 - 27144*k - 13456 = 0. -116, -1 Factor -5*i**3/3 - 670*i**2 + 5*i/3 + 670. -5*(i - 1)*(i + 1)*(i + 402)/3 Factor 4*t**3 - 2872*t**2 + 2868*t. 4*t*(t - 717)*(t - 1) Factor 2*u**4 + 20*u**3 - 46*u**2 + 24*u. 2*u*(u - 1)**2*(u + 12) Factor -2*p**5 - 2*p**4 + 12*p**3. -2*p**3*(p - 2)*(p + 3) Let -5*h**4 + 5*h**3 + 120*h**2 + 180*h = 0. Calculate h. -3, -2, 0, 6 Factor -2*w**3/3 - 4*w**2/3. -2*w**2*(w + 2)/3 Find n such that -3*n**4 - 21*n**3 + 51*n**2 - 27*n = 0. -9, 0, 1 Solve -4*l**2/7 + 1060*l/7 = 0. 0, 265 Solve -y**5/3 - y**4 - y**3/3 + y**2 + 2*y/3 = 0 for y. -2, -1, 0, 1 Suppose p**4/6 + 20*p**3 + 1859*p**2/3 + 1180*p + 3481/6 = 0. What is p? -59, -1 Solve k**5 - 19*k**3 + 2*k**2 + 48*k - 32 = 0 for k. -4, -2, 1, 4 Determine v so that -3*v**5/2 + 72*v**4 - 846*v**3 - 888*v**2 + 11520*v - 13824 = 0. -4, 2, 24 Factor p**2 - 30*p - 31. (p - 31)*(p + 1) Factor -z**5/3 - 2*z**4 - 8*z**3/3. -z**3*(z + 2)*(z + 4)/3 Determine z so that 4*z**3 - 232*z**2 - 236*z = 0. -1, 0, 59 Factor 329*x**2 - 1317*x + 4. (x - 4)*(329*x - 1) What is n in -4*n**4 + 3008*n**3 - 562488*n**2 - 1134016*n - 568516 = 0? -1, 377 What is d in -2*d**3/5 + 42*d**2/5 - 78*d/5 + 38/5 = 0? 1, 19 Factor -y**2/6 + 2731*y/3 - 7458361/6. -(y - 2731)**2/6 Find u such that -u**5 - 2*u**4 + 18*u**3 + 8*u**2 - 41*u - 30 = 0. -5, -1, 2, 3 Factor 4*c**5 + 52*c**4 + 168*c**3 + 232*c**2 + 148*c + 36. 4*(c + 1)**4*(c + 9) Suppose o**5 + 5*o**4/2 + 3*o**3/2 - o**2/2 - o/2 = 0. Calculate o. -1, 0, 1/2 Factor -2*d**4/17 - 6*d**3/17 + 8*d**2/17. -2*d**2*(d - 1)*(d + 4)/17 Factor -2*w**2 + 50*w + 108. -2*(w - 27)*(w + 2) Solve 2*f**5 - 14*f**4 - 24*f**3 + 56*f**2 + 64*f = 0 for f. -2, -1, 0, 2, 8 Let i**5 - 19*i**4/2 - 76*i**3 - 191*i**2/2 - 30*i = 0. What is i? -4, -1, -1/2, 0, 15 Suppose -2*l**2/13 - 1166*l/13 = 0. What is l? -583, 0 What is v in 20*v**3 + 2548*v**2 + 1016*v = 0? -127, -2/5, 0 Factor 2*j**2/5 + 212*j + 28090. 2*(j + 265)**2/5 Factor -2*z**3 + 166*z**2 - 460*z - 1600. -2*(z - 80)*(z - 5)*(z + 2) What is b in -b**3 + 43*b**2 - 82*b = 0? 0, 2, 41 Factor 70*y**3 + 295*y**2 + 340*y + 60. 5*(y + 2)**2*(14*y + 3) Find v, given that 3*v**3/7 - 66*v**2/7 + 123*v/7 - 60/7 = 0. 1, 20 Factor 7*i**2/4 + 25*i - 57. (i - 2)*(7*i + 114)/4 Let -3*v**2 - 3168*v + 3171 = 0. What is v? -1057, 1 Determine t, given that -21*t**3 + 2484*t**2 - 3165*t + 702 = 0. 2/7, 1, 117 Factor z**2/5 + 268*z/5 - 269/5. (z - 1)*(z + 269)/5 Factor -3*v**3 - 75*v**2 + 78*v. -3*v*(v - 1)*(v + 26) Factor 2*t**5/7 + 8*t**4/7 - 64*t**3/7 + 32*t**2/7 + 32*t - 256/7. 2*(t - 2)**3*(t + 2)*(t + 8)/7 Solve -4*s**2 - 192*s = 0 for s. -48, 0 Let -2*s**5 + 26*s**4 - 116*s**3 + 176*s**2 + 64*s - 256 = 0. What is s? -1, 2, 4 Factor 2*b**3/3 - 10*b**2/3 - 16*b/3 + 32. 2*(b - 4)**2*(b + 3)/3 Factor 2*m**2/5 + 234*m/5. 2*m*(m + 117)/5 Factor -2*l**2/9 + 20*l/3 - 58/9. -2*(l - 29)*(l - 1)/9 Suppose 3*q**4 = 0. What is q? 0 Find j, given that -20*j**5 + 92*j**4 + 40*j**3 = 0. -2/5, 0, 5 Suppose -g**2/4 - 30*g + 625/4 = 0. What is g? -125, 5 Find f such that f**5 - 13*f**4 + 58*f**3 - 108*f**2 + 72*f = 0. 0, 2, 3, 6 Suppose v**2/2 + 6*v + 11/2 = 0. Calculate v. -11, -1 Suppose q**2/3 + 70*q/3 + 1225/3 = 0. Calculate q. -35 Suppose 6*s**5/11 + 140*s**4/11 - 96*s**3/11 = 0. Calculate s. -24, 0, 2/3 Solve s**4/3 + 5*s**3/3 - 22*s**2/3 - 116*s/3 - 40 = 0 for s. -6, -2, 5 Determine i, given that 5*i**3 - 100*i**2 - 1040*i - 2240 = 0. -4, 28 Determine i so that -i**2 - 46*i = 0. -46, 0 Let 4*t**2 + 284*t + 280 = 0. What is t? -70, -1 Factor q**4/10 - 2*q**3/5 - 9*q**2/10 + 18*q/5. q*(q - 4)*(q - 3)*(q + 3)/10 Factor -30*u**4 - 95*u**3 - 105*u**2 - 45*u - 5. -5*(u + 1)**3*(6*u + 1) Solve 2*k**5 - 76*k**4 + 72*k**3 + 76*k**2 - 74*k = 0 for k. -1, 0, 1, 37 Factor 4*v**5 - 33*v**4 - 28*v**3 + 9*v**2. v**2*(v - 9)*(v + 1)*(4*v - 1) Find o, given that -2*o**2/15 - 136*o/15 - 2312/15 = 0. -34 Find h such that -10*h**5 + 155*h**4 + 95*h**3 - 235*h**2 - 85*h + 80 = 0. -1, 1/2, 1, 16 Suppose -b**3 + 56*b**2 - 449*b - 506 = 0. Calculate b. -1, 11, 46 Determine z, given that z**3/5 + 4*z**2/5 - 28*z/5 + 32/5 = 0. -8, 2 What is v in -v**2 + 13*v + 14 = 0? -1, 14 Let 20*r**5 + 245*r**4 + 480*r**3 + 305*r**2 + 50*r = 0. Calculate r. -10, -1, -1/4, 0 Solve 15*j**5 - 5094*j**4 + 441480*j**3 - 1516032*j**2 - 677376*j = 0. -2/5, 0, 4, 168 Factor 3*g**4 + 48*g**3. 3*g**3*(g + 16) Factor b**4/2 - 59*b**3/4 + 137*b**2/4 - 27*b/2. b*(b - 27)*(b - 2)*(2*b - 1)/4 Solve -2*r**2/21 + 4*r/21 + 10/7 = 0. -3, 5 Determine x, given that 6*x**5 - 21*x**4 + 15*x**3 + 15*x**2 - 21*x + 6 = 0. -1, 1/2, 1, 2 What is o in -4*o**3 - 32*o**2 + 212*o + 240 = 0? -12, -1, 5 Let v**3/10 + 4*v**2 + 307*v/10 - 174/5 = 0. What is v? -29, -12, 1 Let -20*o**4 - 5*o**3 + 20*o**2 + 5*o = 0. What is o? -1, -1/4, 0, 1 Factor 3*z**3/4 + 3*z**2/2 - 765*z/4. 3*z*(z - 15)*(z + 17)/4 Suppose g**3/7 - 17*g**2/7 - 38*g/7 = 0. What is g? -2, 0, 19 Determine c, given that 2*c**5/3 - 88*c**4/3 + 350*c**3 - 588*c**2 = 0. 0, 2, 21 Solve 44*z**5 + 124*z**4 + 108*z**3 + 20*z**2 - 8*z = 0. -1, 0, 2/11 Factor -3*p**2 - 33*p + 180. -3*(p - 4)*(p + 15) Factor -h**4/2 - 29*h**3/2 - 153*h**2 - 702*h - 1188. -(h + 6)**3*(h + 11)/2 Find h such that 3*h**3/2 - 15*h**2/2 - 36*h = 0. -3, 0, 8 Solve -4*p**5 - 448*p**4 + 924*p**3 + 1368*p**2 = 0 for p. -114, -1, 0, 3 Factor -44*d**2 - 272*d - 48. -4*(d + 6)*(11*d + 2) Factor -y**3/5 - y**2/5 + 8*y/5 + 12/5. -(y - 3)*(y + 2)**2/5 Determine j so that 8*j**5/15 - 14*j**4/3 + 158*j**3/15 + 44*j**2/15 - 256*j/15 - 64/15 = 0. -1, -1/4, 2, 4 Solve -h**5/4 + 5*h**4 - 35*h**3/4 - 5*h**2 + 9*h = 0 for h. -1, 0, 1, 2, 18 Factor 2*h**3/7 - 16*h**2/7 + 10*h/7 + 100/7. 2*(h - 5)**2*(h + 2)/7 Suppose -u**5 + 7*u**4 + 14*u**3 - 44*u**2 - 40*u + 64 = 0. What is u? -2, 1, 2, 8 Suppose -t**4/4 - 29*t**3/2 - 14*t**2 + 29*t/2 + 57/4 = 0. What is t? -57, -1, 1 Factor -5*z**5 - 355*z**4 - 9575*z**3 - 122445*z**2 - 748440*z - 1764180. -5*(z + 9)**3*(z + 22)**2 Let -5*m**4 - 140*m**3 - 14
{ "pile_set_name": "DM Mathematics" }
-36, 0.4, -3, a? 0.4 Suppose -8 = -3*l + 4*h, -3*l = -3*h + h - 4. Which is the second smallest value? (a) -2 (b) 6 (c) l c Let k(q) = 60*q + 302. Let f be k(-5). What is the second smallest value in 5/3, 32, f? f Suppose s - 2 = -7. Let d = -18 - -14. Let x be (d/63)/(18/(-21)). Which is the smallest value? (a) x (b) s (c) 3 b Let p = 0.13 + -0.53. Which is the second smallest value? (a) 50 (b) p (c) 1/12 c Let a = 0.36 - 5.36. Let k be -1 - ((-2)/7 - 1). What is the second biggest value in a, 5, -1/5, k? k Suppose -o = -2 + 3. Let q = -388 + 14344/37. Let f = q - 137/148. Which is the third biggest value? (a) o (b) f (c) 3 b Let q = -935 + 934.9. Which is the fourth smallest value? (a) 1 (b) q (c) -2 (d) -2.4 a Let x = 5 - 7.7. Let s = x + -1.3. Which is the second smallest value? (a) 0 (b) -3/4 (c) s b Let o = -2/45 + 104/315. What is the second smallest value in o, 1/3, -1? o Let u = 56.85 + -2.35. Let h = -55 + u. What is the fourth smallest value in -5, 3, h, 0.5? 3 Let z = -0.094 - 0.106. Suppose -d + 2*d = -8. Let l = -18 - -93/5. Which is the third biggest value? (a) l (b) z (c) d c Suppose 7*x - 65*x = 0. Suppose 0*t + 3*t = -18. Let m be t/(-14) - 0/(-1). What is the third smallest value in x, m, 5? 5 Let c be (-22)/44 - 1/(-10). What is the biggest value in -5, c, -4, 2? 2 Let o = 1963/3 + -653. Which is the second biggest value? (a) o (b) -2/13 (c) 3 (d) 0 a Let q be 5/((-25)/(-40)*2). Suppose 4*l - 27 = 17. Which is the biggest value? (a) q (b) l (c) -5 b Let d = 797/1270 - 7/254. Suppose -5*f - 13 = -f + x, -f + 5*x + 23 = 0. What is the second smallest value in f, 1/2, d? 1/2 Let v be 830/1000 - (-5 + (-127)/(-25)). Let n = -5 - -7. What is the third biggest value in v, -3, n? -3 Let t = -0.033 - -0.013. Let x = t + -1.98. What is the smallest value in x, -0.2, 0.3, -3? -3 Let x be (-9)/66*(-24)/(-18)*1. Let r(y) = -y**3 - 8*y**2 + y + 9. Let p be r(-8). Which is the smallest value? (a) 3 (b) x (c) p b Let o = -125 - -125.08. What is the third smallest value in 0.06, -4, o? o Let u = -20.4 + 24.4. What is the fourth smallest value in -4, -0.3, u, -1/3? u Let t = 7.1 + -7. Let g = 5.25 + -4.85. Which is the fourth smallest value? (a) g (b) -4 (c) -1 (d) t a Let a be 52/(-28) + 3 + 4/(-28). What is the smallest value in -1/5, 0.16, 0, a? -1/5 Let z = 211 - 211.04. Which is the third smallest value? (a) -3/5 (b) z (c) -6 b Let p = -0.038 - -12.038. Let v = -19.86 - -20. Let y = v + -0.14. Which is the second biggest value? (a) p (b) y (c) -2/9 b Let j = 0.2 + -0.1. Suppose -7*d = -4*d - 12. Suppose -5 = -3*h + d*l, 0 = 5*h + 2*l + 2*l + 45. What is the third biggest value in h, j, 1/3? h Let r be 5/(-20) + 3/8*6. Which is the third biggest value? (a) -0.5 (b) 1/4 (c) r a Let y = 4.7 - 28.7. Let b = -8.2 - -31.2. Let n = b + y. What is the third biggest value in -0.1, n, -5? -5 Suppose 2*z - f - 21 = 0, 61 + 6 = 4*z + 3*f. What is the biggest value in 2/13, 0.12, z? z Let w be (-9)/(-2)*6/1. Let s be (-9)/15*(-30)/w. Let x = 5 - 2. Which is the second biggest value? (a) -5/3 (b) x (c) s c Let a = 0.69 + -0.19. Let s = 3.2 - 3. What is the biggest value in -3, -2/3, s, a? a Let i = -15 + 15. Let b = 49.2 - 48.2. What is the third smallest value in b, i, 0.09? b Let j be (-20)/(-8) - 2/1. Let o = -209.92 - -210. What is the third biggest value in j, o, -0.2? -0.2 Let l = -22 - -26. Let p = -2.2 - -0.2. Let m = p + 1.7. What is the biggest value in m, 5, l? 5 Suppose -6*g + 14 - 2 = 0. Let r = 9 - 11. Let k = -6 + 5.6. Which is the third biggest value? (a) k (b) g (c) r c Let a = 11.81 - -0.19. Let d = a + -9. What is the third smallest value in 0.3, d, -4? d Let m = -333 - -576. Let p = 3161/13 - m. Let q be ((-29)/(-87))/(0 + 6/4). Which is the second biggest value? (a) -1 (b) p (c) q b Let h = 135 + -539/4. Let j = -1 + 0. Let w = 7 - 6.7. Which is the second biggest value? (a) w (b) h (c) j b Let z = -2.9 - -2.85. Let b = -4.95 + z. What is the biggest value in b, 0.1, 3? 3 Let l = 1062 + -1062. What is the biggest value in 0.3, -2/11, -2, l? 0.3 Let j be 252/(-210)*(-1)/3. Let d = 11 - 10.9. Which is the second biggest value? (a) d (b) 1 (c) j c Let f = 91.1 + -96. Let p = 7 + -7.9. Let h = f - p. What is the third biggest value in h, 0.5, -2? h Let t be 3/33 - (-9)/(2 + 7). Let v be 56/240 + 1/(-3). What is the second smallest value in v, 0, t? 0 Let w be (-9)/(9/2) + -3 + 2. Let j be (-168)/(-81)*3/2. Let s = -158/45 + j. Which is the second biggest value? (a) s (b) -1 (c) w b Let q = 431 - 365. What is the second biggest value in q, 4/3, -2? 4/3 Let k = 137 - 77. Let g be (8/(-36))/(6/(-1602)). Let r = k - g. Which is the third biggest value? (a) r (b) -1/6 (c) -4 c Let w = -0.17 - 0.03. Suppose 2*i + 5*z = i + 2, 0 = 4*z. Which is the smallest value? (a) i (b) -4/9 (c) w b Let m = -4 + 12. Let t = -4 + 0. Which is the second biggest value? (a) m (b) -2 (c) t b Let p = 0.0213 + 2.9787. Which is the biggest value? (a) -2/7 (b) 1/2 (c) 4 (d) p c Let i be 0 - (2/(-3))/(-2). Let j(b) = -b**2 - 19*b + 40. Let m = 96 + -117. Let t be j(m). What is the second smallest value in -0.3, t, i? i Suppose 0 = -2*x + 2 + 4. Let q = -21.8 + 21.74. What is the second biggest value in 4, q, x, -0.5? x Let s = -84 + 82. What is the third smallest value in 3, -2/37, 0.3, s? 0.3 Let p = 1.1 + -1. Let t be (-11)/8 + (-6)/(-12). Let r = t + 3/4. Which is the smallest value? (a) r (b) 0.4 (c) p a Let u = -178.5 + 178. What is the third smallest value in 8/23, u, -1? 8/23 Let n = 61 + -232. Let r = n + 166. Let w = 1/5 + 1/5. Which is the smallest value? (a) -1/6 (b) w (c) r c Let p(v) = -v - 24. Let n be p(-24). Suppose -2*a - a = n, 2*m - 4*a + 8 = 0. Let h = -10 - -5. What is the second biggest value in -1/3, m, h? m Let j = 282 - 277. Which is the smallest value? (a) -27 (b) -4/3 (c) j a Suppose 0 = -5*y - k + 20, k - 6*k = 3*y - 34. Suppose 5*h = 4*l - 0*l + 19, y*h + 2*l - 7 = 0. What is the smallest value in -5, h, -0.3? -5 Suppose -2*c - 7 + 3 = 0. Suppose -3*k + 23 = 5*i, -2*i + 7 = -k - 0*i. Suppose k = s - 4. What is the third smallest value in c, s, -3/5? s Let h = 209.5 - 210. What is the smallest value in 4, h, 3? h Let x = -30/1331 + -6595/2662. Let v be 2/4 - 14/(-4). Let a(t) = t**2 - 4*t - 3. Let g be a(v). What is the smallest value in g, -4, x? -4 Let i = 0.2 + 0.3. Let p = 0.006 + 0.094. Which is the second smallest value? (a) i (b) 1/4 (c) p b Let r = -614711/66 - -9313. Let w = r - -7/11. Which is the smallest value? (a) -5 (b) 0.2 (c) w (d) -2/3 a Suppose -5 = -0*y + y. What is the second smallest value in 3, 0.4, y, -3/4? -3/4 Suppose 0 = l, 9 = -3*i - 0*i - 2*l. Let z(d) = -d**3 - 6*d**2 - 5*d. Let h be z(-5). Let u = 2 + h. Which is the third biggest value? (a) i (b) u (c) -4/7 a Let q = 133.8 + -139. Let s = 5.2 + q. Which is the biggest value? (a) s (b) -8 (c) 1/4 c Let d = -66 - -71.2. Let h = d - 3.2. Let x be (2/(-4))/((-1)/6). What is the second biggest value in h, x, 0? h Let j be -3*(-25)/(-35)*(-6)/30. What is the second smallest value in -0.17, j, -1? -0.17 Let u = 2.84 + -3. Let o = -72 - -69.16. Let f = o + u. What is the second biggest value in f, 0, 0.1? 0 Suppose h + 9 = 2. Let v be (0 + 0)*h/14. Let x be (8 - 1) + -2 - v. What is the second smallest value in 2/5, -0.4, x? 2/5 Let i = 1.28 - 1.48. What is the smallest value in -4, i, 3? -4 Let b be 50*(-1)/(-8)*-6. Let m = -531/14 - b. Let r be (-2 - -4)*2/(-4). What is the second biggest value in m, -3, r? r Let j = 25 - 38. Let r = j + 13. What is the third biggest value in -5, r, 9? -5 Let z be 5/(-3) - 1/3. Let f be 5 + 370/(-70) - (-5)/(-7). Which is the fourth biggest value? (a) -6 (b) f (c) z (d) -3 a Let l be 2323/8 - (-1)/(-1). Let v = -230 - 59. Let m = l + v. What is the third biggest value in 1, m, -2? -2 Let v = -312 + 310.47. Let k = -1.46 - v. What is the third biggest value in 7, k, -0.1? -0.1 Suppose 8 = 4*q - 0. Let r = 8 + -17. Let o = r - -13. Which is the smallest value? (a) o (b) q (c) 0.2 c Let j = -1 - 4. Let k = -2 + 7. Let a = k + -4.8. What is the smallest value in 1/4, a, j? j Let l = 714 + -13568/19. What is the second bigg
{ "pile_set_name": "DM Mathematics" }
ulate the least common multiple of 40245 and 2784954. 13924770 What is the common denominator of 43/102403 and 83/21210? 310281090 Find the common denominator of -41/4519824 and -139/1168920. 67797360 Calculate the smallest common multiple of 6 and 3045598. 9136794 What is the lowest common multiple of 19831 and 9439556? 9439556 What is the lowest common multiple of 368319 and 17837163? 124860141 Find the common denominator of 31/162631788 and -17/150678. 487895364 Calculate the common denominator of 83/2516 and -111/258808. 9575896 What is the smallest common multiple of 59541597 and 2? 119083194 Find the common denominator of 37/70 and 9/134753780. 134753780 What is the smallest common multiple of 196372 and 5859919? 257836436 Calculate the common denominator of 91/816 and 31/643416. 1286832 What is the lowest common multiple of 40198 and 9696? 1929504 Calculate the common denominator of 107/235793382 and 7/2103420. 2357933820 Calculate the least common multiple of 81382 and 616178. 4313246 Calculate the smallest common multiple of 19747 and 187033. 75374299 Calculate the least common multiple of 35196 and 476. 598332 What is the smallest common multiple of 1895430 and 51? 32222310 Calculate the common denominator of -39/11 and -83/4287626. 47163886 Calculate the common denominator of 43/46 and 95/2760372. 63488556 Calculate the common denominator of 9/2046700 and 107/122802. 6140100 What is the common denominator of -8/160825 and 11/9916010? 347060350 Find the common denominator of 101/60 and 67/331800. 331800 What is the least common multiple of 31319104 and 832? 407148352 What is the smallest common multiple of 468 and 68124056? 613116504 Calculate the lowest common multiple of 3520 and 25821312. 129106560 Calculate the lowest common multiple of 8584864 and 7310. 42924320 Calculate the lowest common multiple of 37060 and 7405460. 125892820 What is the common denominator of -55/7202526 and 32/18006315? 36012630 Calculate the least common multiple of 132 and 759000. 759000 Find the common denominator of 23/23986800 and -151/288. 47973600 What is the lowest common multiple of 506856 and 2352? 1013712 Calculate the smallest common multiple of 90321 and 40756. 160048812 Calculate the common denominator of -103/79730 and -5/207298. 1036490 What is the smallest common multiple of 4263124 and 8? 8526248 What is the common denominator of 43/108347416 and 23/24? 325042248 What is the common denominator of -18/173107 and 91/10? 1731070 Calculate the lowest common multiple of 1030832 and 257708. 1030832 Calculate the least common multiple of 36 and 1419568. 12776112 What is the smallest common multiple of 4 and 108474321? 433897284 What is the least common multiple of 1126320 and 38304? 47305440 Calculate the common denominator of 25/37874536 and 87/1352662. 37874536 Find the common denominator of -61/572160 and -61/19668. 6293760 Calculate the lowest common multiple of 1550 and 8293740. 41468700 What is the common denominator of 101/693000 and 25/5148? 9009000 Calculate the least common multiple of 85255 and 26180. 26258540 What is the lowest common multiple of 15 and 4837146? 24185730 Find the common denominator of -73/18370 and 53/1080. 1983960 Calculate the least common multiple of 510873 and 49720. 20434920 Calculate the lowest common multiple of 36 and 45089751. 541077012 Find the common denominator of -7/72165 and -86/5355. 1515465 What is the common denominator of -91/7730 and -43/28035937? 280359370 What is the least common multiple of 552 and 193683? 1549464 What is the common denominator of -173/14616 and 191/15834? 190008 What is the least common multiple of 53482 and 8470? 1871870 What is the least common multiple of 211455732 and 61644? 2326013052 What is the smallest common multiple of 3740 and 1957040? 21527440 Find the common denominator of 13/3668 and 39/45304. 5934824 What is the common denominator of 68/18561105 and -57/28? 519710940 What is the common denominator of -109/108 and 101/22000788? 22000788 Find the common denominator of 7/540 and -32/144260865. 577043460 Calculate the common denominator of -37/3265034 and -42/8162585. 16325170 What is the lowest common multiple of 15109576 and 81213971? 649711768 Find the common denominator of -81/138408560 and -43/510. 415225680 What is the common denominator of 71/48753452 and -81/571888? 195013808 What is the lowest common multiple of 126730 and 1875604? 9378020 What is the least common multiple of 2007 and 27370351? 246333159 What is the lowest common multiple of 7307430 and 7020? 131533740 What is the common denominator of 11/138892029 and 91/186? 8611305798 Calculate the least common multiple of 222 and 32520. 1203240 What is the lowest common multiple of 5402628 and 308? 5402628 Calculate the smallest common multiple of 16282398 and 599720. 325647960 Find the common denominator of 61/7151360 and -19/260480. 78664960 Calculate the common denominator of 80/429 and -11/497682. 71168526 What is the common denominator of 13/40 and 123/7359340? 14718680 Calculate the least common multiple of 1146801 and 5734005. 5734005 What is the common denominator of -83/81876704 and -125/81876704? 81876704 Find the common denominator of 83/624366 and -17/429. 89284338 Calculate the least common multiple of 1140731 and 247985. 5703655 Find the common denominator of 63/50 and 131/1149270. 5746350 What is the lowest common multiple of 191576 and 417984? 4597824 Calculate the lowest common multiple of 410718 and 1095248. 3285744 Find the common denominator of -69/4760 and -139/37670640. 37670640 Find the common denominator of 83/1926 and -139/308850. 99140850 What is the smallest common multiple of 3403260 and 110? 37435860 Calculate the common denominator of -55/805562 and -73/56601330. 1075425270 Find the common denominator of 8/123 and -48/7397425. 22192275 What is the lowest common multiple of 1142867 and 2413906? 258287942 Calculate the least common multiple of 28061290 and 1130. 28061290 Calculate the common denominator of 41/42935613 and 67/584158. 85871226 Find the common denominator of 103/31195368 and 83/64188. 31195368 What is the least common multiple of 148816 and 1795093? 28721488 Calculate the lowest common multiple of 3960 and 467643. 56117160 Calculate the lowest common multiple of 20088 and 4599656. 372572136 What is the common denominator of -23/939168 and 53/47219280? 849947040 What is the smallest common multiple of 5385339 and 81? 16156017 Calculate the lowest common multiple of 991780 and 10016978. 100169780 What is the common denominator of -131/318600 and 37/200? 318600 What is the lowest common multiple of 30107928 and 37634910? 150539640 Calculate the smallest common multiple of 32715500 and 53232. 392586000 What is the common denominator of 41/395 and 29/1288648? 6443240 What is the smallest common multiple of 6098352 and 58638? 6098352 What is the lowest common multiple of 8070 and 3600? 968400 What is the common denominator of -81/21800 and 89/61040? 305200 What is the common denominator of 25/77 and -31/302423? 2116961 Calculate the common denominator of 79/68972 and 18/16949869. 67799476 What is the smallest common multiple of 995814 and 39? 12945582 Find the common denominator of 37/43584640 and -19/4358464. 43584640 What is the smallest common multiple of 20024195 and 174988? 881064580 Find the common denominator of 67/539190 and -125/107838. 539190 What is the lowest common multiple of 18 and 120646836? 120646836 Calculate the least common multiple of 952476 and 1094460. 176208060 Calculate the lowest common multiple of 5437494 and 18. 5437494 What is the least common multiple of 1439892 and 12? 1439892 Calculate the common denominator of 101/150 and -137/54924. 1373100 Calculate the lowest common multiple of 4080 and 3854240. 11562720 Calculate the common denominator of 149/12 and -41/27692854. 166157124 Calculate the common denominator of 43/88988060 and 73/71020. 88988060 Calculate the common denominator of -25/51850344 and -59/112. 103700688 Calculate the lowest common multiple of 882 and 59975706. 179927118 What is the lowest common multiple of 3219312 and 96? 6438624 Calculate the smallest common multiple of 1376 and 419680. 419680 Calculate the least com
{ "pile_set_name": "DM Mathematics" }
1 in ascending order. -1, 0, 2, 4, 20, 23 Put 0, -2, -12, 38, 3, -5 in decreasing order. 38, 3, 0, -2, -5, -12 Sort 0.0765, -2/13, -1/3, 18 in ascending order. -1/3, -2/13, 0.0765, 18 Sort -0.03289, 0.4, 4, -0.3, -2/9. -0.3, -2/9, -0.03289, 0.4, 4 Sort 25518, 10, 2, -5 in decreasing order. 25518, 10, 2, -5 Sort -3, -39, -5, -1, 92 in descending order. 92, -1, -3, -5, -39 Sort -2, -4, 2, -13, 7 in ascending order. -13, -4, -2, 2, 7 Sort -2, -6, 4, -196, -5. -196, -6, -5, -2, 4 Sort -438, 5/6, 3, 1, 8/7. -438, 5/6, 1, 8/7, 3 Put 1, -3, -7, -1, -369 in increasing order. -369, -7, -3, -1, 1 Sort -3, 1, -2, 3, 0, -2631 in decreasing order. 3, 1, 0, -2, -3, -2631 Sort 1/5, -1/8, -0.1, 1, -38/229 in ascending order. -38/229, -1/8, -0.1, 1/5, 1 Put -22, 0.0465, 1/4, -0.01 in decreasing order. 1/4, 0.0465, -0.01, -22 Put -1/3707, -3/2, 0.1 in increasing order. -3/2, -1/3707, 0.1 Put -3, -5, -16, 2162 in ascending order. -16, -5, -3, 2162 Put -2554, 17, 5 in increasing order. -2554, 5, 17 Put 161, -29, 0, -3, 2 in increasing order. -29, -3, 0, 2, 161 Put 1, -3, -2, 2, 9, 14 in increasing order. -3, -2, 1, 2, 9, 14 Sort 3, 0, 1, 0.1, -67/5 in increasing order. -67/5, 0, 0.1, 1, 3 Sort 6, 3, 5, -202, -110, -3 in descending order. 6, 5, 3, -3, -110, -202 Put -3, -1/2, 616, 15 in ascending order. -3, -1/2, 15, 616 Sort -32, 3, 209, -5, 0, 2 in ascending order. -32, -5, 0, 2, 3, 209 Sort -0.5, -1.1, -440, -2.2, 3/5 in increasing order. -440, -2.2, -1.1, -0.5, 3/5 Sort 3/4, 4, -0.5, 0.1423, 3, -3/2. -3/2, -0.5, 0.1423, 3/4, 3, 4 Sort 3, -3, 4938, 2/5 in ascending order. -3, 2/5, 3, 4938 Put 4, -1, 0, -20, 3 in descending order. 4, 3, 0, -1, -20 Sort 3, 447, 142, -1, -3 in decreasing order. 447, 142, 3, -1, -3 Put -23, -2, 1972, 1 in descending order. 1972, 1, -2, -23 Sort -0.5, 3, -4, -7, 0.2 in ascending order. -7, -4, -0.5, 0.2, 3 Put -2/3, 0.4, -5, -0.1611 in decreasing order. 0.4, -0.1611, -2/3, -5 Put 10, 4, -5, 1 in increasing order. -5, 1, 4, 10 Put -2761, 2, 1/8, 0.1 in ascending order. -2761, 0.1, 1/8, 2 Sort -2/7, 0.2, -66, -0.29. -66, -0.29, -2/7, 0.2 Put -3, -1, -4, -15392 in increasing order. -15392, -4, -3, -1 Put 103, -19, 7, -1, 3, 2 in descending order. 103, 7, 3, 2, -1, -19 Put 4, 21, -170, -5, 0, 2 in descending order. 21, 4, 2, 0, -5, -170 Put 0.6, -14/11, -4, 17 in decreasing order. 17, 0.6, -14/11, -4 Put 15, -2/87, -1, 3, -0.5 in decreasing order. 15, 3, -2/87, -0.5, -1 Put -28, 5, 216, -3, -200 in decreasing order. 216, 5, -3, -28, -200 Put -7, -16/5, -14 in ascending order. -14, -7, -16/5 Put -2, 77, 54 in increasing order. -2, 54, 77 Put -4, 1/2, 0.3, 0.2, -3/34, 209 in descending order. 209, 1/2, 0.3, 0.2, -3/34, -4 Sort -2892, -5, -1, 5, 0 in descending order. 5, 0, -1, -5, -2892 Sort -1759, -11, 3 in decreasing order. 3, -11, -1759 Sort -0.2, 8/41, -5, -2/7 in decreasing order. 8/41, -0.2, -2/7, -5 Sort -2, 5, 330, 2, -168 in descending order. 330, 5, 2, -2, -168 Put 351, -1, 5, -2 in decreasing order. 351, 5, -1, -2 Sort 825, 128, -2, 6 in descending order. 825, 128, 6, -2 Put 52, -802, -3, -1 in ascending order. -802, -3, -1, 52 Put -6, -2, 2, 4, 3, -5 in decreasing order. 4, 3, 2, -2, -5, -6 Sort -11, -2, -4, 7, -3. -11, -4, -3, -2, 7 Sort 18, 23, 14. 14, 18, 23 Sort 166, -8, -14, 1/4 in ascending order. -14, -8, 1/4, 166 Put 3, 807, -2, 4 in descending order. 807, 4, 3, -2 Put -19.338, 1/8, -0.4 in ascending order. -19.338, -0.4, 1/8 Sort 219, 1655, 1 in ascending order. 1, 219, 1655 Put 21, -289, -2, 1, -4 in descending order. 21, 1, -2, -4, -289 Sort -2, 5, 941, -3, -1, 2 in decreasing order. 941, 5, 2, -1, -2, -3 Put 0, 87, -1, -215 in descending order. 87, 0, -1, -215 Sort -3, 1, -9, 26, -199. -199, -9, -3, 1, 26 Sort 146, -2, -5, 4, 30 in decreasing order. 146, 30, 4, -2, -5 Sort -27, 22, -4, -216 in descending order. 22, -4, -27, -216 Put 1/5, -16, 1/3, -6.9, 4 in ascending order. -16, -6.9, 1/5, 1/3, 4 Sort -1/4, -1.5, -4911, 1 in increasing order. -4911, -1.5, -1/4, 1 Sort 5/6, -0.4, -15, -0.3, -1, 0.1 in decreasing order. 5/6, 0.1, -0.3, -0.4, -1, -15 Sort 10, 3, 2, -4, -1. -4, -1, 2, 3, 10 Sort 1, 56, 5, -5, -2, 2 in increasing order. -5, -2, 1, 2, 5, 56 Sort 14787, -4, -3/5, 0, 1/3 in increasing order. -4, -3/5, 0, 1/3, 14787 Sort -3, -4, 2, -17/4, 4. -17/4, -4, -3, 2, 4 Sort 3/2, -0.2, -357, -3, 6 in decreasing order. 6, 3/2, -0.2, -3, -357 Put 0.05, -0.4, 3, -0.1, 18, 5 in increasing order. -0.4, -0.1, 0.05, 3, 5, 18 Sort 73, 0, 32, 1, -58, 2 in descending order. 73, 32, 2, 1, 0, -58 Put -4, 0, -38 in descending order. 0, -4, -38 Put 0.1, -10, 0.21, -4, -3, 4 in ascending order. -10, -4, -3, 0.1, 0.21, 4 Sort 1, -2, -27, -56 in descending order. 1, -2, -27, -56 Sort 1, 28937, -1, 4 in ascending order. -1, 1, 4, 28937 Sort 10, 21, 4, -3, 5 in increasing order. -3, 4, 5, 10, 21 Sort 19, -96, -4, 11, 0. -96, -4, 0, 11, 19 Sort -11, -13, 3 in descending order. 3, -11, -13 Put -3, -196, -320 in decreasing order. -3, -196, -320 Sort -1/39, -15, -2, -1/4, 8 in descending order. 8, -1/39, -1/4, -2, -15 Sort 159.236, -0.02, 0 in descending order. 159.236, 0, -0.02 Sort 0, -1, 5, 1, 77, -49 in descending order. 77, 5, 1, 0, -1, -49 Put -5, 0, -29, 11, -12, 3 in descending order. 11, 3, 0, -5, -12, -29 Put -1, -2/9, -1/3, 0.2, -1/4, -84 in increasing order. -84, -1, -1/3, -1/4, -2/9, 0.2 Sort 26, 3, -6382, 0.1 in descending order. 26, 3, 0.1, -6382 Sort 7, -3.3, 5.3 in increasing order. -3.3, 5.3, 7 Sort 2/7, 22.8, 0.4, -1/8 in ascending order. -1/8, 2/7, 0.4, 22.8 Sort 21, 2, 3, 375 in decreasing order. 375, 21, 3, 2 Put -474, 4, -5, 2, 1 in increasing order. -474, -5, 1, 2, 4 Put -1, -46, 200, 30 in descending order. 200, 30, -1, -46 Sort -2/17, 342, -0.51, 3, 1. -0.51, -2/17, 1, 3, 342 Put 0, 180, -0.6, -4/7, 2, 1/3 in ascending order. -0.6, -4/7, 0, 1/3, 2, 180 Sort -0.5, 0.4, -37/27, -6, 5 in decreasing order. 5, 0.4, -0.5, -37/27, -6 Put -67, 1100, -1 in increasing order. -67, -1, 1100 Put -241, -3, 2, -0.1, 0.4, 0.2 in ascending order. -241, -3, -0.1, 0.2, 0.4, 2 Put -4, 53, 4, 6/5, -1/7 in decreasing order. 53, 4, 6/5, -1/7, -4 Sort 4, 38825, -10 in descending order. 38825, 4, -10 Sort 1/13, -0.1, -308, -1/6 in decreasing order. 1/13, -0.1, -1/6, -308 Sort -24/119, -16, 3 in decreasing order. 3, -24/119, -16 Put -0.4, -4, 2/13, 47/4, 0.4 in descending order. 47/4, 0.4, 2/13, -0.4, -4 Sort 121, -3/2, -148, 3 in descending order. 121, 3, -3/2, -148 Sort -1, 0.5, -1/4, 259 in ascending order. -1, -1/4, 0.5, 259 Sort 68, 1/6, -0.1, 0.3, -11, 2/9. -11, -0.1, 1/6, 2/9, 0.3, 68 Sort 4, -4, -19, -1. -19, -4, -1, 4 Sort 2/5, 3.91, -29 in descending order. 3.91, 2/5, -29 Sort -6, -2, 11, -1, -139, -4 in descending order. 11, -1, -2, -4, -6, -139 Sort 5, -5, 1121, -10, -2 in descending order. 1121, 5, -2, -5, -10 Sort 0, -672, 27, -1, 3, -3 in descending order. 27, 3, 0, -1, -3, -672 Sort 15109, 1, 1/5 in increasing order. 1/5, 1, 15109 Put 4, 3, -3, -2/11, -0.6, 207/2 in decreasing order. 207/2, 4, 3, -2/11, -0.6, -3 Sort 356, 0.4, 3/8, 2/7 in descending order. 356, 0.4, 3/8, 2/7 Sort 3, -2.99581, -1/6, -0.2 in ascending order. -2.99581, -0.2, -1/6, 3 Sort 2, -43, 4, -6/101, 1. -43, -6/101, 1, 2, 4 Sort 1883, -49, 1. -49, 1, 1883 Sort -4, 38, 5, -66, 2, -5. -66, -5, -4, 2, 5, 38 Put -2, 2834.3, -0.1 in descending order. 2834.3, -0.1, -2 Put 4, 3, 1, 6374, -1 in ascending order. -1, 1, 3, 4, 6374 Put -2/621, 0.4, 1/3, 2/9, 3, -3 in decreasing order. 3, 0.4, 1/3, 2/9, -2/621, -3 Put 0, 3, -21278 in ascending order. -21278, 0, 3 Sort 1/7, -0.5, -124, 0.07 in increasing order. -124, -0.5, 0.07, 1/7 Sort -8979, 4, 2, 3, -2. -8979, -2, 2, 3, 4 Sort 1315, -3/25, 23/5. -3/25, 23/5, 1315 Sort -0.4, -1/7, 24/107, -3/4 in decreasing order. 24/107, -1/7, -0.4, -3/4 Sort 2/5, -1/5, 3, 2/17, 720, -2 in ascending order. -2, -1/5, 2/17, 2/5, 3, 720 Sort 1, 4, -156, 0.8 in ascending order. -156, 0.8, 1, 4 Sort -14, -2, -2/1179, 31 in increasing order. -14, -2, -2/1179, 31 Sort -3, -2, 14, 7, 72. -3, -2, 7, 14, 72 Sort -10, -12027, 1 in decreasing order. 1, -10, -12027 Sort 3/380, 9, 1 in descending order. 9, 1, 3/380 Sort 10, -23, -31, -1, 1 in increasing order. -31, -23, -1, 1, 10 Sort -267, -3, -5, 282 in ascending order. -267, -5, -3,
{ "pile_set_name": "DM Mathematics" }
- (-1624)/20) + 4. 5, 17 Let j(w) = -3*w + 28. What are the prime factors of j(-9)? 5, 11 Suppose c = 3*c + 4. Let o be (-11)/(-2) + c/4. What are the prime factors of o/10 + (-19)/(-2)? 2, 5 Let n be (21/(-14))/(1/6). Let d be ((-15)/2)/(1/(-2)). Let s = n + d. What are the prime factors of s? 2, 3 Suppose 0*r = -r + 4, -3*f + 3*r = -405. Let m = -264 + f. List the prime factors of 2/(-6) - m/15. 2 Let v(p) = 2*p. Suppose -a + 4*a - 9 = 0. Let i be v(a). Suppose i + 6 = 2*h. List the prime factors of h. 2, 3 Suppose -3*j + 5*x - 14 = 0, 3*j - 5*x = -x - 10. Suppose j*g - w = -2*g + 77, 3*g = 4*w + 48. Suppose 4*k - g = -k. What are the prime factors of k? 2 Let y(k) = k**2 - 6*k + 1. What are the prime factors of y(9)? 2, 7 Let s(w) = -w**2 + 3*w + 5. Let q(f) = 4*f**2 - 9*f - 15. Let t(m) = 2*q(m) + 7*s(m). What are the prime factors of t(-4)? 3 Let j(v) be the second derivative of -7/12*v**4 + 0 + 5/2*v**2 - 1/20*v**5 - 7/6*v**3 + 2*v. What are the prime factors of j(-6)? 11 Let k be -2 - (0 + -18)/3. Suppose 26 = -5*g + 5*z + 71, k*g = 3*z + 33. List the prime factors of g. 2, 3 Suppose -2*v - 2*u = -5*u - 46, -8 = -4*u. Suppose -4*s - 2 = -v. What are the prime factors of s? 2, 3 Let l be 9 - 5/(15/6). Suppose 3*m - k = m + 9, -3*k = -2*m + 7. Suppose -x + 3*t = -l - 9, -2*x + 31 = -m*t. List the prime factors of x. 13 Suppose -729 - 1203 = -7*x. List the prime factors of x. 2, 3, 23 Suppose k = 4*l - 3*k - 104, l + 3*k - 6 = 0. Let z = 1 + l. What are the prime factors of z? 2, 11 Let k = 152 + -89. What are the prime factors of k? 3, 7 Suppose 8*h - 3*h = -4*l + 408, 162 = 2*h + l. List the prime factors of h. 2, 5 Let i(o) = o**2 - 8*o + 7. Suppose 2*w - 28 = -2*w. Let g be i(w). Suppose 3*p + g - 12 = 0. What are the prime factors of p? 2 Let r(o) = o**3 - 6*o**2 - 4*o + 5. Let j be r(7). Let m = -2 + j. List the prime factors of m. 2, 3 Let t(h) = 2*h**2 + 4*h - 3. Let l be t(2). Suppose -5*z = 3 - l. Suppose 5*x = 5*v + 50, 3*x + 0*x = -z*v + 25. What are the prime factors of x? 3 Let n = 6 + -3. Let s = 1 + n. List the prime factors of s. 2 Let o = 7 - 4. Suppose -o*j = -j + 2. What are the prime factors of 4 + 10 + j*1? 13 Let j(l) be the third derivative of -l**6/40 - l**5/60 - l**4/12 - l**3/6 - l**2. Let k = -1 - 0. List the prime factors of j(k). 3 Let z(k) = k**2 - 6*k - 3. Let l be z(6). What are the prime factors of (-1 + (-6)/l)*2? 2 Suppose 4*j + 3 - 19 = 0. List the prime factors of ((-2)/j)/(6/(-672)). 2, 7 Let u(x) = -3 + 0*x - x**2 - 3*x - x. Let j be u(-3). List the prime factors of 0 + j + 2 + 2. 2 Let v(n) = n**2 + 6*n + 3. Let r be v(-6). List the prime factors of (r + (-84)/8)*-4. 2, 3, 5 Suppose -175 = -5*p - 25. Let j = p - 14. List the prime factors of j. 2 Let s(j) be the second derivative of -5*j**3/6 - 2*j**2 + 4*j. What are the prime factors of s(-5)? 3, 7 Suppose -2*f + 5*f = -6. Let w be 1 + (-1 - f) + -2. Suppose 0*p + 1 = p - 4*a, -3*p + 4*a + 27 = w. List the prime factors of p. 13 Suppose -3*o - 4*m + 42 = -5*o, -3*o = 2*m + 95. Let n = o - -41. What are the prime factors of n? 2, 3 Suppose 105 = 2*g - 169. List the prime factors of g. 137 Let k = 33 - -15. List the prime factors of k. 2, 3 Suppose -3*t - 582 = -3*i, -t - 607 = -3*i - 29. List the prime factors of i. 2, 3 Let o = -9 + 35. List the prime factors of o. 2, 13 List the prime factors of (-91)/(-1) + -4 + 4. 7, 13 Let l = 21 + -45. Let c be (-6)/21 + l/14. List the prime factors of (0 + 16)*(-1)/c. 2 Let q(j) = 3*j + 5. Let i be q(-4). Let d(s) = 9*s. Let k(t) = 14*t. Let f(w) = i*d(w) + 5*k(w). List the prime factors of f(1). 7 Let r(f) = f**2 - 6*f + 5. Let x be (16/12)/((-2)/(-3)). Suppose -y + 4 = -x. What are the prime factors of r(y)? 5 Let s = -11 + 21. List the prime factors of s. 2, 5 Let q(j) = -j**3 + 4*j**2 - 2*j - 1. Let n = 3 - 0. Suppose 0 = -t + o + 1, n*t - 1 - 4 = o. What are the prime factors of q(t)? 3 What are the prime factors of (85/(-20) - 2)*-4? 5 Let b be 2 - (3 + -3 - -2). Suppose b = -2*z - 4 + 36. List the prime factors of z. 2 List the prime factors of (9/6)/((-1)/(-18)). 3 Suppose z - 2*z - 23 = -5*d, 3*d = -5*z + 25. Let u = 8 - d. Suppose -u*t + 34 = -2. What are the prime factors of t? 2, 3 Suppose 5*l + 14 = -16. What are the prime factors of 2*((-105)/l + -2)? 31 Let y = -6 + 9. Suppose 0*t = i + t - 6, y*i = 2*t + 3. What are the prime factors of i? 3 Suppose s + 0*s + 19 = 0. Let d = s - -31. What are the prime factors of d? 2, 3 What are the prime factors of 33/(-2)*(-3 - -1)? 3, 11 Suppose -2*o = -o - 276. What are the prime factors of (-6)/15 + o/15? 2, 3 Let d(u) = -u**3 + 10*u**2 + 2*u - 8. List the prime factors of d(9). 7, 13 Let a(c) = c - 7. Let b be a(4). Let f(g) = -4*g**3 - 2 - g**3 - 2*g**2 + 4*g**3. List the prime factors of f(b). 7 Suppose -6*n + 2100 = 6*n. What are the prime factors of n? 5, 7 Suppose -134 = -5*s + 211. List the prime factors of s. 3, 23 Let x be -2 - (-12)/4 - -2. Suppose 0 = x*a - a - 34. List the prime factors of a. 17 Let q(x) = -x**3 - 6*x**2 - 2*x + 5. Let c be q(-5). What are the prime factors of 12/30 + (-206)/c? 3, 7 Let t(d) = d**2 - 5*d - 4. Let a be t(6). Suppose -x + 5 + a = 0. What are the prime factors of x? 7 Let y(q) = -8*q + 4. Let o be y(-4). Suppose -j = j + o. List the prime factors of 1/(-4) + j/(-8). 2 Suppose -4*n = 12 + 8, -5*n = 4*y - 3. Let v = 0 + 3. Suppose 5*r - v = y. List the prime factors of r. 2 Let v be 0 - 1 - 0/3. Let k = 1 - v. Suppose k*l - 10 = -2*b, 3*b + 32 = 4*l + b. List the prime factors of l. 7 Suppose d + 2 - 7 = 0. Let j(h) = 2*h**2 - 8*h + 5. What are the prime factors of j(d)? 3, 5 Let v(s) = s**2 + 20. What are the prime factors of v(8)? 2, 3, 7 Let g(y) = -y**3 + 7*y**2 + 3*y - 7. Let p be g(7). Let n = p + -3. List the prime factors of n. 11 Let b be 1/(3*1/18). Suppose -k = -b*k + 10. List the prime factors of k. 2 Let k = 12 + 0. What are the prime factors of k? 2, 3 Let t(n) = 15*n - 27. Let b(f) = 2*f - 4. Let x(c) = -27*b(c) + 4*t(c). Let w be 2/(-5) - 35/(-25). What are the prime factors of x(w)? 2, 3 Suppose w + 5 = -23. Let a = w + 64. List the prime factors of a. 2, 3 Let j(k) = 2*k**3 - k**2 - 5*k + 2. Let r be j(3). Suppose 63 = 2*u + 31. Let x = r - u. List the prime factors of x. 2 List the prime factors of (-7)/(-2) + 5/(-10). 3 Let w be (35/3)/(1/(-3)). Let b = w - -55. List the prime factors of b. 2, 5 Let i = -7 - -48. List the prime factors of i. 41 Suppose 0*p - p - 4 = 0, -d + 12 = -2*p. Suppose d*i - 7*i + 84 = 0. What are the prime factors of i? 2, 7 Suppose 2*f - 10 = 0, -8*f = -3*y - 13*f + 1237. What are the prime factors of y? 2, 101 Let v be (1 - -6) + (2 - 3). Suppose -v*u - 12 = -2*u. Let a = 4 - u. What are the prime factors of a? 7 Suppose 5*i - 15 = 35. Suppose 4*s - 2*r = i, -3*s - 2*s + 10 = -5*r. List the prime factors of ((-12)/(-15))/(s/15). 2 Suppose -4*u - 3*y + 107 = -262, 2*u = -y + 183. What are the prime factors of u? 2, 3, 5 Let p(u) be the second derivative of u**3/6 + u**2 - u. Let s be p(-3). List the prime factors of 11 - (s - 1 - -2). 11 Suppose -240 + 4 = -2*m + 3*f, m + 4*f - 96 = 0. List the prime factors of m. 2, 7 Suppose 3*c = 3*g + 126, 5*c + 6*g - 226 = 3*g. List the prime factors of (1/2)/(2/c). 11 List the prime factors of -4 - (-4)/(12/555). 181 Let y(i) = i**3 + 12*i**2 + 8*i - 7. Let x be y(-11). Let l = x - 17. What are the prime factors of l? 3 Suppose 9*n = 8*n + 84. List the prime factors of n. 2, 3, 7 Let p(t) be the second derivative of -11*t**5/10 - t**4/12 + t**2/2 - t. Let z be p(-1). Suppose -2*c = -10, 2*c + z = h + 6*c. What are the prime factors of h? 2 Let x(o) be the first derivative of -3*o**2/2 - 6*o - 3. Let q be x(-5). Let v = -2 + q. What are the prime factors of v? 7 Let j(z) = z + 8. Let w be j(-6). Let l = -2 + w. Suppose -u = -l*u + 3*a - 23, -3*u = -5*a - 13. What are the prime factors of u? 11 Let b be ((-6)/(-8))/((-5)/100). Let y = -4 - b. What are the prime factors of y? 11 Let h = -8 + 12. Suppose 3*q - t - 17 = 0, h*t - 12 = -q - 2. What are the prime factors of q? 2, 3 Suppose -17 = -2*s + 15. What are the prime factors of s? 2 Suppose -z + 3 = 4*i, 2*z = -z - 2*i - 21. Let b(k) = k**3 + 9*k**2 + 4. Let n be b(z). Supp
{ "pile_set_name": "DM Mathematics" }
ct the terms in -183*d**3 + 88*d**3 + 92*d**3 + d**2 - 18724. -3*d**3 + d**2 - 18724 Collect the terms in 3617*k**3 + 5 - 3431*k**3 - 19. 186*k**3 - 14 Collect the terms in -395*i + 253*i - 2270*i - 530*i. -2942*i Collect the terms in 174 - 843 + 161 + 174 + 172 + 2*t + 161. 2*t - 1 Collect the terms in 61 - 150*a**3 + 676*a**3 - 63 + 75*a**2. 526*a**3 + 75*a**2 - 2 Collect the terms in 2*o**2 + 233816*o - 3*o**2 - 233816*o + 3 - 3. -o**2 Collect the terms in 5*q**2 - 52520*q + 8*q**2 + 52520*q. 13*q**2 Collect the terms in 123 + 126 - 362 + 43*b + 113. 43*b Collect the terms in 15*d - 14*d + 10*d**3 - 124*d**3 + 284*d**3 + 232*d**3. 402*d**3 + d Collect the terms in 38854*j**2 + 38857*j**2 - 116563*j**2 + 38856*j**2. 4*j**2 Collect the terms in -1310 + 3928 - 1316 - 1302 - 445*m**2. -445*m**2 Collect the terms in -3898*h - 3 + 3 - 6917*h - 3854*h. -14669*h Collect the terms in 6058574 + 31*m**2 - 6058574 + 11*m**3 - 31*m**2. 11*m**3 Collect the terms in 2311 - 839 - 772 + 5*k - 4*k - 766. k - 66 Collect the terms in -w - 14627*w**2 - 14625*w**2 - 1224*w**3 + 29252*w**2. -1224*w**3 - w Collect the terms in -7141285*c**2 + 3570662*c**2 + 2*c**3 + 3570623*c**2. 2*c**3 Collect the terms in 3997*x - 1334*x - 1118*x**2 - 1333*x + 1113*x**2 - 1330*x. -5*x**2 Collect the terms in -2062*q**2 + q**3 - 2037*q**2 + 3982*q**2. q**3 - 117*q**2 Collect the terms in -5117*q + 2006*q - 5317*q. -8428*q Collect the terms in 748*w**3 - 276*w**3 + 713*w**3. 1185*w**3 Collect the terms in 12316*k**3 + k - k + 3*k**2 - 7653*k**3 + 7. 4663*k**3 + 3*k**2 + 7 Collect the terms in 268 - 171 + 192 - 11*s + 159. -11*s + 448 Collect the terms in -8*y**3 + 540915983*y - 540915983*y. -8*y**3 Collect the terms in -197 + 77 + 67 - 3*q**2 + 6 + 77. -3*q**2 + 30 Collect the terms in 0*h**2 - 9752*h**3 - 7*h**2 - 37939*h**3. -47691*h**3 - 7*h**2 Collect the terms in 54*v - 26*v + 2399*v**2 + v**2 - 28*v. 2400*v**2 Collect the terms in 22*i - 15300635*i**2 - 15300642*i**2 - 22*i + 30601278*i**2. i**2 Collect the terms in 281*z**3 - 216*z**3 + 13*z - 40*z**3 - 22*z**3 - 13*z. 3*z**3 Collect the terms in -8*s - 23 - 9*s - s - 14*s + 55*s - 24*s. -s - 23 Collect the terms in -8137368 - 3720*k + 8137368. -3720*k Collect the terms in 13912*x**2 - 5712*x**2 + 19126*x**2. 27326*x**2 Collect the terms in -978*k**2 + 826*k**2 + 541*k**2. 389*k**2 Collect the terms in h**3 - 30*h**2 - 20776974*h + 30*h**2 + 20776985*h. h**3 + 11*h Collect the terms in -2*a - 4745106853 + 4745106853. -2*a Collect the terms in -z**2 + 0*z**2 + 54*z**3 + 23*z**3 - 2*z**2 + 79*z**3 + 38*z**3. 194*z**3 - 3*z**2 Collect the terms in 465*l**3 - 2646*l**3 - 2149*l**3. -4330*l**3 Collect the terms in 1489415603 - 54*o - 1489415603. -54*o Collect the terms in 51*u - 67*u + 19*u - 119. 3*u - 119 Collect the terms in -13 + 0 - 500904527*i + 500904396*i. -131*i - 13 Collect the terms in -196*w - 148*w - 156*w + 686*w - 187*w. -w Collect the terms in 46*q**2 - 96*q**2 - 4476*q - 2307*q + 48*q**2. -2*q**2 - 6783*q Collect the terms in n**3 - 3440*n - 3*n**3 + 6880*n - 3440*n + 241*n**2. -2*n**3 + 241*n**2 Collect the terms in 15*b - 20636 - 25*b + 6*b. -4*b - 20636 Collect the terms in -125*z**2 + 100*z + 126*z**2 + 49*z + 2*z + 17*z. z**2 + 168*z Collect the terms in f**3 - 34*f**2 - 21*f**3 + 34*f**2 - 23*f**3 - 11*f. -43*f**3 - 11*f Collect the terms in -45*u**3 + 10604*u**2 + 10597*u**2 - 31822*u**2 + 10621*u**2. -45*u**3 Collect the terms in -12 - 2 + 23 + 171853*h - 9. 171853*h Collect the terms in 246*p + 205*p + 50*p + 53*p - 96*p - 2*p**2. -2*p**2 + 458*p Collect the terms in 5 - 1773507*p - 5. -1773507*p Collect the terms in 25*b**3 - 133*b**3 + 62*b**3 + 41*b**3. -5*b**3 Collect the terms in 271*h - 69 - 12*h - 75*h - 185*h. -h - 69 Collect the terms in -71696*s - 29814*s - 217130*s + 13499*s. -305141*s Collect the terms in 71319*c**2 + 3*c + 5*c - 71335*c**2. -16*c**2 + 8*c Collect the terms in 32682812*b**2 - 65365343*b**2 + 32682511*b**2. -20*b**2 Collect the terms in 18391266 - 14*b**2 - 8*b**2 + 4*b**2 - 18391266. -18*b**2 Collect the terms in 885*t**2 + 1 + 0 - 6*t + 6*t + 868*t**2 - 1757*t**2. -4*t**2 + 1 Collect the terms in -4 + 93*y - 77*y - 29*y - 99*y. -112*y - 4 Collect the terms in 77*u**3 - 142*u**3 + 13*u - 27*u**3 - 9*u - 4*u. -92*u**3 Collect the terms in -702*k - 341 - 7*k**2 - 680 + 704*k. -7*k**2 + 2*k - 1021 Collect the terms in 67 - 31 - 36 - 956553*w. -956553*w Collect the terms in -673*t**2 - 557*t**2 + 1654*t**2 - 827*t**2. -403*t**2 Collect the terms in -13*s**2 - 2*s**3 + 60*s**2 - 151*s**2 + 108*s**2 + 3*s**3 + 79*s**2. s**3 + 83*s**2 Collect the terms in 370 + 340 + 357 - 1663 + 336 + v + 361. v + 101 Collect the terms in -28746*w + 534 + 280 - 814. -28746*w Collect the terms in 17 + 33*m**3 - 21*m**3 - 25 + 8 + 16 - 14*m**3. -2*m**3 + 16 Collect the terms in 13338650*r**3 - 26676994*r**3 + 2*r**2 + 13338623*r**3. 279*r**3 + 2*r**2 Collect the terms in 254*u - 27566 - 517*u + 252*u + 27567. -11*u + 1 Collect the terms in 5417*g**2 - 16590*g**2 + 5462*g**2 + 5563*g**2. -148*g**2 Collect the terms in -54508*v**3 - 197304775 + 197304775. -54508*v**3 Collect the terms in -14315*g**3 + 195473*g**3 + 253695*g**3. 434853*g**3 Collect the terms in -64375045 + 4*u + 13*u + 32187519 + 32187526. 17*u Collect the terms in -5462576099 + k + 2731288053 + 2731288046. k Collect the terms in 11532*d + 2760686*d**2 - 11532*d. 2760686*d**2 Collect the terms in -614*y - 678*y - 574*y + 1573*y. -293*y Collect the terms in -1 - 1 + 28*u**2 + 6*u**2 - u**3 + 62879*u + 30*u**2. -u**3 + 64*u**2 + 62879*u - 2 Collect the terms in -j - 2*j**2 + 33981 - 16790 + j + 59258. -2*j**2 + 76449 Collect the terms in -3 + 3 - 4 - 7*z**2 + 3 - 3244*z**3 + 3248*z**3. 4*z**3 - 7*z**2 - 1 Collect the terms in -1 + 59118*r**2 + 3 + 29031*r**2 + 5. 88149*r**2 + 7 Collect the terms in -g + g + 248306 + 132*g**2. 132*g**2 + 248306 Collect the terms in 140 + 23 - 2381*n**3 + 15814*n**3. 13433*n**3 + 163 Collect the terms in 1438 + 1435 - 14*a**2 - 4363 + 1490. -14*a**2 Collect the terms in 1296*o**3 - 3959*o**3 + 1347*o**3 + 1292*o**3. -24*o**3 Collect the terms in 245328377739*p**2 + 6 + p**3 - 245328377739*p**2 - 6. p**3 Collect the terms in 42*j**2 + 46*j**2 + 94*j**2 + 33*j**2 - 156*j**2 + 42*j**2. 101*j**2 Collect the terms in -16*x**2 - 131 + 119 + 12 - 23*x**2. -39*x**2 Collect the terms in -23989 - 24729 - 5*u + 73451 - 24733. -5*u Collect the terms in -1021*w**3 + 3876*w**3 - 1024*w**3 - 807*w**3 - 4536 + 4536 - 1022*w**3. 2*w**3 Collect the terms in -t**2 - 10238*t - 4*t**2 + t**2 + 3. -4*t**2 - 10238*t + 3 Collect the terms in 14337 - 24*a + 2635 + 86*a. 62*a + 16972 Collect the terms in 156*b + 151*b + 158*b - 925*b + 172*b + 160*b + 126*b. -2*b Collect the terms in 121 + 221 + 226 - 524*y**2 + 220 - 787. -524*y**2 + 1 Collect the terms in 11*a**3 + 290*a**2 + 4*a + 0 - 98*a**3 + 0. -87*a**3 + 290*a**2 + 4*a Collect the terms in 20 + 38737*g - 446859*g - 20. -408122*g Collect the terms in -469*s + 927*s - 801 - 783 + 1584 + 1116*s. 1574*s Collect the terms in 60*x + 10 + 10 + 30*x + 6 + 6 - 30. 90*x + 2 Collect the terms in -202*n**2 - 99*n**2 - 29*n**2. -330*n**2 Collect the terms in 5798117*q**2 + 5807669*q**2 - 11*q**3 - 11605786*q**2. -11*q**3 Collect the terms in 2296*j**2 + 2282*j**2 + 2289*j**2 - 9148*j**2 + 2296*j**2. 15*j**2 Collect the terms in -2778 - 3044 - 2*b + 5827. -2*b + 5 Collect the terms in 211 + 952510*n - 211. 952510*n Collect the terms in -135*i**2 + 23*i**2 + 139*i**3 + 23*i**2 + 12*i**2 + 77*i**2. 139*i**3 Collect the terms in 0 - 2799641*t + 8 - 8. -2799641*t Collect the terms in -227*s**2 + 2 - 16468*s + 6 - 16460*s - 245*s**2 + 32926*s. -472*s**2 - 2*s + 8 Collect the terms in 1300*q**2 - 3812*q**2 + 58*q**3 - 6*q**3 + 1279*q**2 + 1233*q**2. 52*q**3 Collect the terms in -3*x**3 + 88*x - 22*x - 50*x - 16*x + x**3. -2*x**3 Collect the terms in 34 - 39*f**2 + 91 + 38*f**2. -f**2 + 125 Collect the terms in 9 + 18 - 45259*z**2 - 7. -45259*z**2 + 20 Collect the terms in 363 + 339 - 3*x**3 + 361 - 1391 + 367. -3*x**3 + 39 Collect the terms in 7*r**3 + 37*r**3 + 52*r**2 + 39*r**3. 83*r**3 + 52*r**2 Collect the terms in 114*y + 171 - 99 - 72 - 14*y**2. -14*y**2 + 114*y Collect the terms in
{ "pile_set_name": "DM Mathematics" }
4 = -65*j, -3*o = 3*j - 3 for o. 2 Solve 0 = -5*n + 5*m, 28*m = -4*n + 25*m + 35 for n. 5 Solve -3*k + 2*r + 1 = 0, -k - 31 + 26 = -2*r for k. 3 Solve -p + 2*y + 17 - 10 = 0, -y + 19 = 4*p for p. 5 Solve 1 = -z + j, 22*z - 19*z + j = -11 for z. -3 Solve -2*i + j = -3*i + 4, 4 = i - 3*j for i. 4 Solve -5*m - 2 - 6 = 4*w, m - 4 = 2*w for m. 0 Solve g - 3*g + 6 = j, 4*g = -4*j + 8 for j. -2 Solve 7*a + 2*c = 2*a - 18, 0 = -2*c + 2 for a. -4 Solve 0 = -u + 2*q, -4*u + 7 - 31 = 4*q for u. -4 Solve -6*m + 4*m - 5*n - 5 = 0, -5*m + 2*n = -2 for m. 0 Solve 10 = 4*r + 4*b + 30, 0 = -2*r - 3*b - 14 for r. -1 Solve -10*w = -7*w + 5*y - 13, 5*y - 5 = -5*w for w. -4 Solve u + 36 = -4*l + 13, -l - u = 2 for l. -7 Solve -x - 3*f = 5, 5*f + 11 + 2 = 3*x for x. 1 Solve 8 = -k - k, 5*f - 21 = -k for f. 5 Solve 4*k + 7*w - 8*w = -4, -3*w = k - 12 for k. 0 Solve -a + 7 = -4*u, -2*a + 7*a + 40 = -5*u for a. -5 Solve -2*r + 3*n = 17, 1 = 4*r + 5*n + 2 for r. -4 Solve 2*l + 4 = -4*t, -8*l = -12*l for t. -1 Solve 4*s = -5*d + 8, -3*d + 11*s - 15*s = 0 for d. 4 Solve -2*k = -5*k - 3*z + 3, 5*z = 5 for k. 0 Solve 2*j + 2 = -2*k, -2*k + 6 = 5*j + 20 for k. 3 Solve -5*y = 10, q + 2*q + 24 = -6*y for q. -4 Solve 2*f + 6 = -4*w, -5*f - 4*w + w = 1 for f. 1 Solve -5*b + 4*h - 32 = 0, -b - 4*h - 8 = 4*b for b. -4 Solve -40 = 3*h + 3*c - 49, -h - 4*c + 24 = 0 for h. -4 Solve -2*g = h + g - 3, -3*g = 2*h for h. -3 Solve 9*z = 11*z + 3*r - 12, 3*z - 3*r + 12 = 0 for z. 0 Solve 5*n + 22 = -4*f, 4*n - 1 = -0*n + 3*f for n. -2 Solve -18*n - 2*o - 20 = -14*n, n - o + 5 = 0 for n. -5 Solve 12 = 5*r - 4*x, 4*r - 7 = 3*x + 3 for r. 4 Solve -3*o + 2*k + 10 = 0, 6*o - 4*o + 4*k + 4 = 0 for o. 2 Solve -s - 3*k = -10 + 26, -5*s - 8 = -3*k for s. -4 Solve -2*i + 4*u - 2 = 0, 0 = -2*i - 4*u + 8 - 26 for i. -5 Solve -r + l - 9 = -6, 5*l - 7 = r for r. -2 Solve 0 = 3*k + h - 9, 7*k = 11*k - 5*h - 12 for k. 3 Solve 9*x - 6*x - f + 17 = 0, 2*f - 10 = 0 for x. -4 Solve 11 = -4*w + u, 3*w - 2*u - 1 = -8 for w. -3 Solve 6*c - 2*c - 17 = -3*s, -4 = 2*s - 5*c for s. 3 Solve 0 = -2*f + 6, -5*d + 2*f + 0 = 1 for d. 1 Solve -5*p + g = -7*p + 5, -5*p + 3*g = -40 for p. 5 Solve 3*t = 12, -n - 2*t - 8 = -5*t for n. 4 Solve 0*b + 4*b = 4*p - 20, -2*b - 4 = 0 for p. 3 Solve -2*m + 8 = 4*h - 0*h, -h + 4*m + 11 = 0 for h. 3 Solve 3*m - 13 = -p, -16*m + 19*m - 2*p - 1 = 0 for m. 3 Solve 2*o - 6*o + 12 = 2*t, -4*o = t - 12 for t. 0 Solve 3*j - 9 = u - 4, 0 = 3*u + 5*j + 15 for u. -5 Solve 3*o + 1 = 10, -3*f + 5*o = 0 for f. 5 Solve 4*d + 4*w - 24 = 0, -44 = -4*w - 36 for d. 4 Solve 3*f + 28 = 58*r - 54*r, -5*f = 5*r for r. 4 Solve 0 = 4*k + 3*r - 4, 0*k - 5*k - 5*r = -10 for k. -2 Solve n = -m - m + 7, 3*n + 3*m = 12 for n. 1 Solve -2*r - 2*f - 2*f = -2, r = 5*f + 15 for r. 5 Solve -b - 2*m + 2 = -0*m, 4*m - 14 = 3*b for b. -2 Solve o - 3*h = -2 + 6, -3*o - 4*h - 1 = 0 for o. 1 Solve 5*i - 76*y + 75*y = 29, -3*i + 5*y = -35 for i. 5 Solve -2*c + 5*v = -16, -3*c = -5*v - 12 - 2 for c. -2 Solve -o + 2*o - 5*g = 2, -2*g = 0 for o. 2 Solve 0 = g - 4, -q + 20 = g + 11 for q. 5 Solve -2*d = 2*y - 4, -4*d - 12 = -2*y + 10 for y. 5 Solve h - 5*v = 22, v = h - 2*v - 14 for h. 2 Solve 2*m = -3*l + 1, 2*l - 5*m - 2 = 5*l for l. 1 Solve -4*u - 4*i - 11 = -u, 5*u + 2*i + 9 = 0 for u. -1 Solve -10*t + 3 = -11*t, -3*t - 10 = -x for x. 1 Solve -1 - 14 = x - 3*b, 3*x + 3*b - 15 = 0 for x. 0 Solve -f - 11 = -4*n, 257 = 4*n + 4*f + 221 for n. 4 Solve -3*i + 4 = 2*n + 3, 3*i = n - 5 for i. -1 Solve -4*f + 2*h = -18, -9 + 7 = -2*h for f. 5 Solve -4*y - 24 = -2*d, -4*d - 3*y - 7 = -0 for d. 2 Solve 3*f = 4*i - 7*i - 12, -5*f + 4 = -i for f. 0 Solve -25 + 20 = -d, -40 = 5*v - 3*d for v. -5 Solve 6*k + y - 4 = 5*k, -k + 8 = 3*y for k. 2 Solve -3*b + 3*d + 9 = 0, -2*b + 3*d = -0*b - 10 for b. -1 Solve -14 = 5*a - 3*i + 8, 3*a - 3*i = -12 for a. -5 Solve -g + 33 = 5*v + 7, 3*g + 3*v - 18 = 0 for g. 1 Solve 0 = 5*d - 5*f - 5, 0 = 6*f - 4*f - 2 for d. 2 Solve -2*o - 6 = 0, -7*g + 6 = -4*g - o for g. 1 Solve 7 = -9*w + 8*w - 3*l, 0 = -2*l - 8 for w. 5 Solve -4*q + 3*a - 16 = 7*a, 3*q = 3*a for q. -2 Solve x - 3*m + 7 = 0, 3*m - 4 + 1 = -3*x for x. -1 Solve -y + 5 = -3*h, 2*y + 3*h = -6 + 7 for y. 2 Solve -3*z = -2*v - 14, 15*v + 21 = 10*v + 4*z for v. -1 Solve 4*h = 3*j - 21, -9 = h - 0*j - 2*j for h. -3 Solve 3*l - 3 = q, 282*l = 3*q + 281*l - 7 for q. 3 Solve -4*r = -2*q - 6, -4*q = 3*r + 2*r - 27 for q. 3 Solve 0 = 3*n - 4*j - 15, -4*n = -4*j + 1 - 21 for n. 5 Solve 0*j + j + 4 = -y, -y + 5*j - 10 = 0 for y. -5 Solve -3*m = -46*x + 51*x + 22, 4*m + 16 = -4*x for x. -5 Solve 0 = 2*w + 5*r - 15, -w + r - 3 = -0*w for w. 0 Solve 3*m + 11 = -2*f, 4*f - 4 + 1 = -m for f. 2 Solve 2 = -4*r + a, 1 = r - 3*a - 4 for r. -1 Solve 5*i + 2*t = -7, -98*i + 2*t = -100*i + 2 for i. -3 Solve 31*i - 27*i + 5*c = 2, -3*i + 17 = -4*c for i. 3 Solve 3*x + 5*h + 6 = 0, -23*x + 24*x + 2*h = -2 for x. -2 Solve 0 = -g - 4*i - 21, 11*g = 14*g - 4*i - 17 for g. -1 Solve 0 = 5*t + 4*a, 15 = -2*a - a for t. 4 Solve 5*z = 3*f - 5, 3*z + 5*f + 23 = -14 for z. -4 Solve -42*p + 39*p - 5 = -4*k, 4*p + 4*k = 12 for p. 1 Solve -2*g = -n - 7*g + 5, 0 = -2*g for n. 5 Solve 3*q = -4*h - 14, -4*q - 13 - 4 = 5*h for h. -5 Solve -5*z - 6*x = -5*x - 10, -4*x - 29 = -3*z for z. 3 Solve -5*s = -l - l, -5*s = -4*l + 10 for s. 2 Solve -3*q = 5*z + 15, -q - 4*z - 5 = -9*z for q. -5 Solve -128*i + 124*i - 5*v = -7, 0 = -5*i + 3*v - 19 for i. -2 Solve 3*u - 1 = 2*i, i - 4*u + 5 = -3 for i. 4 Solve 5*p = 2*f + 28 - 10, 0 = -3*p - 3*f - 6 for p. 2 Solve 9*t - 12*t - 3*x + 9 = 0, 5*x - 17 = -3*t for t. -1 Solve -19 = -4*d + 3*q, d + 4*q = 7*q + 7 for d. 4 Solve -6 = 2*k - 2*b, -5*k - 2*b = b + 7 for k. -2 Solve -4*j + 14 = -2*c, 5*j - 3*j - 8 = 0 for c. 1 Solve 2*m + 20 = -5*s, -3*s = 2*s - 3*m - 5 for s. -2 Solve -2 + 8 = -4*x - b, x - 2*b + 6 = 0 for x. -2 Solve -20*f + 17*f = 0, 3*n + 2*f = -6 for n. -2 Solve 0 = 4*z + 2*d + 10, 5*d = -2*z - 0*d - 25 for z. 0 Solve 4*n + 2*x - 10 = 0, 3*n + 6*x = 5*x + 6 for n. 1 Solve 3*l - 5 = 3*a - 2*l, 2*a - 2*l + 2 = 0 for a. 0 Solve 0 = -5*c - 3*a - 8, 16*a - 2 = 5*c + 13*a for c. -1 Solve -2*k - 3*k + 9 = -6*i, 3*k - 11 = -2*i for i. 1 Solve 3*u = -2*k - 6, -5 = -3*k - 5*u - 14 for k. -3 Solve -3 = -g - 8, 5*g = -b - 30 for b. -5 Solve c - 1 = -4*l - 0, 10 = 4*l - 2*c for l. 1 Solve 2*t = 4*r + 6, 0 = -t - 7*r + 12*r + 3 for t. 3 Solve -3*s + 3*p = 0, 0 = -48*s + 45*s - 4*p + 21 for s. 3 Solve -8*b + 15 = -5*n - 3*b, -3*b + 14 = 2*n for n. 1 Solve 3*w - 29*h = -30*h + 1, -15 = -w - 4*h for w. -1 Solve 7*j + p = -31, 0*j + 2*p + 7 = -3*j for j. -5 Solve -10 - 23 = -5*m - 2*p, -41 = -5*m - 4*p for m. 5 Solve a = 3*i + 10, -i - 7*a + 3*a - 25 = 0 for i. -5 Solve -3*b + 5*t + 27 = 0, -b + 4*t + t = -29 for b. -1 Solve -2*o = -4*q - 7 - 9, 4*q + 3*o = -16 for q. -4 Solve -4*p + 4 = q, 54*p - q - 5 = 49*p for p. 1 Solve 4*c = 3*k - 29, -4*c + 5*k - 6*k - 17 = 0 for c. -5 Solve -5*d + 4*t - 8 = 0, 5*d + 4*t = 9 - 1 for d. 0 Solve -6 = -5*i + 2*d, i - 29*d - 14 = -35*d for i. 2 Solve -2*h + w + 10 - 1 = 0, 15 = 5*h + 5*w for h. 4 Solve -x - 3*p - 8 = 0, 2*x + p + 5 - 9 = 0 for x. 4 Solve -15 = -5*w - 4*d, 11*w = 7*w + d - 9 for w. -1 Solve 4*j = -p + 4*p - 11, j = 4*p + 7 for j. -5 Solve -5*y - 30 = -6*c + 7*c, -20 = -c + 5*y for c. -5 Solve -21*j = 2*a - 22*j - 11, -5*j = 5*a + 10 for a. 3 Solve 3*l - w + 10 = 0, 5*w = -0*l + 5*l for l. -5 Solve -5*m = -2*h - 15, -m - 33 = 5*h - 9 for h. -5 Solve -176*r + 2*u - 6 = -172*r, -2*u = -10 for r. 1 Solve -5*i = -169*a + 172*a - 7, 5*i - 12 = 2*a for i. 2 Solve n + 3*o - 3 = o, 4*o - 16 = 0 for n. -5 Solve 0 = -7*y + 3*y + 20, -c = 5*y - 29 for c. 4 Solve -2*y + 22 - 10 = 5*k, -4*k + 13 = 5*y for y. 1 Solve -3*a - 12 = 9*m - 6*m, -5*a + 5*m + 10 = 0 for a. -1 Solve 4*d = -t - 12, 3*d + 2*t - 2 + 6 = 0 for d. -4 Solve -2*c + 6 = k, -5*c + 4*k = -0*c - 2 for c. 2 Solve 5*o = -0*o - 2*n + 17, -16 = -4*o - 4*n for o. 3 Solve -3*s + 5 + 1 = -2*r, 19 = 4*s + r for s. 4 Solve -4*b + 2*t + 24 = 0, 7*b = 5*b + 5*t + 28 for b. 4 Solve 2*k = 2*s - 5*s + 2, 0 = -3*k + s + 3 for k. 1 Solve 4*s = -4*i + 36, -5*s - 5*i + 21 = -6*i for s. 5 Solve 2*m - o + 7 = 0, -2 + 10 = -2*m + 2*o for m. -3 Solve 0 = 4*y - 5*m + 12,
{ "pile_set_name": "DM Mathematics" }
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914649 What is the next term in -6029018, -6029012, -6029006, -6029000? -6028994 What comes next: -47258192, -94516378, -141774564, -189032750, -236290936, -283549122? -330807308 What is next in -15620958, -15620935, -15620912, -15620889, -15620866, -15620843? -15620820 What is next in 17135, 17566, 18329, 19460, 20995, 22970? 25421 What is next in -76, -400, -824, -1192, -1348, -1136, -400, 1016? 3268 What is next in -86632, -89127, -91622, -94117, -96612? -99107 What is the next term in 12015749, 24031498, 36047247? 48062996 What is next in -3241, -5066, -5477, -4474? -2057 What comes next: 666556, 666279, 666004, 665731, 665460, 665191, 664924? 664659 What comes next: -25522, -24892, -24268, -23650, -23038? -22432 What is next in 136, 1480, 3396, 5620, 7888, 9936? 11500 What is the next term in -34529, -34496, -34443, -34370
{ "pile_set_name": "DM Mathematics" }
5*r, -3*d - 5 = r - 17 for d. 4 Let a(q) = 2*q**3 + 12*q**2 + 8*q - 3. Let m be a(-5). Suppose -g - m = 3*l, 2*g - l + 4*l = -2. Solve g*h = 3*s + 23, -h + 3*h = 8 for s. -1 Let f = -357 - -357. Suppose -19*w - 35 + 92 = f. Solve -4*l + w*j = l + 18, 3*l = -j - 8 for l. -3 Let r(b) = 2*b**3 + 42*b**2 + 2 - 9*b**3 + 9*b**3. Let c be r(-21). Solve 12 = c*x + 4*q - 2*q, 5*q - 12 = 4*x for x. 2 Suppose 4*x - 2*x - 8 = 4*d, 3*d = 0. Let q(n) = n**2 + 8*n - 45. Let o be q(5). Solve -4*c = -a + o, x*a = c + c + 24 for a. 4 Let v = 1048 + -1044. Let u be 10 + 5 + (-6 - 1). Let o be (2 - 3)/((-1)/17). Solve -v*x + 4*k = -u, -2*k + o = -4*x - 3*k for x. -3 Suppose 36*j - 30*j + 42 = 0. Let c = j - 122. Let r be ((-4)/3*-4)/((-43)/c). Solve 2*d = 2*z - 5*z + r, 0 = 4*d + z - 22 for d. 5 Let h = 1229 - 1225. Solve h*b - g - 20 + 21 = 0, -3*g = 9 for b. -1 Suppose -131*w - 248*w + 8500 = -254*w. Solve 4*n - w*c + 66*c = -4, -5*n + 5*c = -5 for n. -3 Let n(b) be the first derivative of -59*b**2/2 + 240*b + 81. Let u be n(4). Solve -3*y = f - u, -4*y = -3*y - 3 for f. -5 Suppose -2*j = -36 - 18. Let y be (1/(-3))/(3/j). Let w(q) = -q**3 - 4*q**2 - 5*q - 4. Let s be w(y). Solve s*m + 16 = 5*k - 0*k, -2*k + 3*m = -13 for k. 2 Let w(s) = -11*s + 7. Let x(c) = 7*c - 57. Let m be x(9). Let g be w(m). Let k = g - -70. Solve -4*v - 3*i - 7 = -2*v, 3*v + k = -5*i for v. -2 Suppose -48 = 150*g - 156*g. Let r be (-6)/g*160/(-60). Let s = 0 + 0. Solve s = -2*i + 5*f - r, -f - 3*f = 3*i + 3 for i. -1 Let c = 15631 - 15627. Solve -c*r = 3*h - 2*r - 9, 0 = 5*h + 2*r - 15 for h. 3 Let o = 21719 + -21710. Solve 0 = -5*m - 20, -o*k + 11*k = 5*m + 14 for k. -3 Let m = -98429 + 98429. Let c(n) = -5*n - 1. Let k be c(-2). Suppose k = -0*i + 3*i. Solve m = y - 5*l - 25, -i*y + 6*l - l + 25 = 0 for y. 0 Let q = -11 - -17. Suppose 0 = y + 5*j + 51, y + 173 = -2*y - 5*j. Let x = y - -65. Solve -q = 3*r + r + 3*m, x = 2*m for r. -3 Let s(b) = 19*b + 102. Let w be s(-8). Let m be (11/(-55))/(2/w). Solve 6*i - i + 2 = 4*o, 16 = -m*o - 3*i for o. -2 Suppose 5*l = 5*a - 3*a + 10, 5*a = l - 2. Solve -l*p - 18 = p - 3*m, -p = 2*m - 3 for p. -3 Let r be -5*(63/15 + -5). Suppose 0 = -r*v + 2*i + 8, -8*i + 6 = 3*v - 6*i. Solve 0*y + 5*y + 3*k = 40, 10 = v*k for y. 5 Suppose -3*h + 1 = 5*o - 5, 0 = -4*o + 3*h + 21. Suppose -2*d + 2*m = -10, o*d - 14 = 13*m - 11*m. Solve 0 = 2*z - 4*t - 16 + d, -t = -4*z - 11 for z. -4 Suppose -407*d + 544 = -78*d - 114. Solve 37 = -3*a + 3*y + d*y, -5*y + 29 = -a for a. -4 Suppose 143*r = -262*r + 1302 - 87. Suppose 0 = 3*z - 2*b - 5, 5*z - 3*b - 3 - 7 = 0. Solve r*i - n - 4*n = 29, 5 = -z*i - 5*n for i. 3 Let t be (9 - 2)*(-3)/(-147)*35. Solve a - 3*a - 33 = -t*u, a + 2*u - 6 = 0 for a. -4 Suppose 33 = -4*a + 58 + 31. Solve -5*q = 3*u + a - 0, 0 = -2*q - 5*u - 17 for q. -1 Suppose 0 = o - 3*o + 10. Suppose -o*b + 286 = 11. Let f = b - 55. Solve -4*j + 0*j - 5*s + 5 = f, 3 = -3*j + 3*s for j. 0 Let n = -19651 - -19659. Suppose 5*y - 42 = 183. Solve -3*q = -n*q + 20, -y = -5*x - 5*q for x. 5 Suppose c - 130 = -3*p, 0 = 4*p + 2*c + 83 - 259. Suppose 5*o - 389 = -159. Let h = o - p. Solve 4*u = -3*n - 29, -h*u = -9*u + 3*n - 16 for u. -5 Suppose -6*k + 37 - 13 + 6 = 0. Solve -k*n + 9 = 3*b, -3*n + 6 - 1 = 2*b for n. 3 Let a(s) = -5*s**2 + 401*s - 68. Let z be a(80). Solve -4*o = -4*b - z, 5 = -b - b + o for b. -2 Let j be 3/(-24) - (-32)/((-256)/(-25)). Solve -j*b = z + 6, -13 + 19 = -5*z - 3*b for z. 0 Let o be 12/(-40)*-2 - (-12)/5. Let x = 13 + o. Suppose -d = g, -5*d + 3*g = -0*d - x. Solve 0 = 3*b - h + 13, -16 = -2*h - d*h for b. -3 Let b(t) = -3*t**2 - 11*t - 252. Let m(j) = j**2 + 6*j + 127. Let i(h) = 2*b(h) + 5*m(h). Let o be i(16). Solve 0 = -x + 4*k - 5, 0*x - 4*k + 1 = o*x for x. -1 Suppose c + 32 = 4*k, 3*k + 20 = 7*k - 4*c. Suppose 5*o - 55 = -5*l, -2*l = 13*o - 12*o - k. Solve 0 = 2*b - z + o, -3*b - 3*z - 2*z + 13 = 0 for b. -4 Suppose 0 = d - 5 - 36. Let j = 46 - d. Suppose 0 = -5*x + l + 13, 0 = -3*x - 4*l - j - 1. Solve 2*t + 5*a = 13, t + x*t = -4*a + 9 for t. -1 Suppose -18*h + 20*h + 3*k - 11 = 0, -3*h - 2*k + 19 = 0. Solve 5*c + 17 = -h*p + 6*p, 0 = 3*c + 4*p + 17 for c. -3 Suppose 0 = -3*i - 3*g - 861, -15*i - g = -17*i - 583. Let a = i + 292. Solve -2*q + 2*l + a = -q, 5*l = 5 for q. 4 Let m = 83 + -68. Let b(a) = 5*a**2 + 141*a - 141. Let f be b(1). Solve -w - x = 2*w - m, x + 25 = f*w for w. 5 Let a(v) = -43*v - 38. Let m = 671 - 672. Let j be a(m). Solve j*r = -t + 1, 0*r - 5*r + t = 1 for r. 0 Let n = -59 + 54. Let l be 5/4*(115/(-5) + n). Let t = -5 - l. Solve -5*j + 5*h = -0*j + 15, -5*h - t = 4*j for j. -5 Let l = -522 - -532. Let f be l*-5*(-24)/400. Solve 0*u - 17 = -f*c - u, 5*c + u = 25 for c. 4 Let p(m) = 2*m**2 + 15*m + 9. Let y = -44 - -37. Let q be p(y). Let t be (-4)/20*q*-10. Solve t*s + c - 12 = -0*s, s - 4*c = -14 for s. 2 Suppose 253*o - 255*o - x + 16 = 0, o = -5*x + 8. Solve -d = -3*d + 4*w - o, 4*d + 5*w = 36 for d. 4 Let a be (2*(-5)/10 - 0)*2. Let l be -5 - a*(-5)/(-2). Solve 1 = -k + n, l = 5*k + 2*n - 0*n + 12 for k. -2 Let u = -158 + 282. Let h be (-1 + -121)/(1 - 0). Let q = h + u. Solve 5*k - 3*k = -q*f, 5*k = 25 for f. -5 Let n(z) = -z**3 + 13*z**2 - 35*z - 7. Let w be n(9). Suppose 0 = -w*d - a + 14, 11 = 4*d - 4*a + 7. Solve 4*v = -4*c - 24, 2*c = d*v - 3 + 12 for c. -3 Let c(d) = -2*d - 56. Let a be c(-32). Suppose 3*z - 3*h = 9, z = 5*h + 11 - a. Solve 3*w + 3*k = 6, w = -0*w - z*k + 2 for w. 2 Suppose 3*z = 7 - 4. Let p be (-2)/(11*1/9 - z). Let w be (p/(-15))/(4/(-10))*-4. Solve -2*c = -4*h + w, 3*c - 1 = h - 0*c for h. 2 Let c = -2323 + 2328. Solve -2*w - 12 = -3*z, 2*z - c = -2*w - 7 for z. 2 Let j = 1 - -19. Suppose -j*k = -23*k + 30. Solve 2*p - 2*u = -0*p - 6, 4*p - 2*u = -k for p. -2 Let l(y) = -y**3 - 6*y**2 + 17*y + 80. Let o be l(-7). Solve -x = -2*b - o, -5*b + 236 = -x + 258 for b. -4 Let t = -26 + 31. Suppose 11 - 2 = 2*n - o, -t*o - 21 = -4*n. Suppose -3*l - 4 = -10. Solve -2*f = -3*y - 0*f - n, 12 = -5*y + l*f for y. -4 Let q(d) = 2*d + 4. Let u be (16/(-28))/(4/14). Let g be q(u). Solve 0 = -4*k + 5*r - 2*r + 7, g = 4*r - 12 for k. 4 Let i be 2/4 - 144/(-32) - (23 - 21). Solve 3*u - 5*l + 14 = 0, 5*u + 2*l - 30 = -i*l for u. 2 Let v be -3 + -4*-6*(-7)/(-28). Solve -v - 9 = 4*w - 2*z, w - 5*z + 30 = 0 for w. 0 Suppose t = 8 + 6. Suppose -6*m = m - t. Let o(k) = 6*k - 7. Let i be o(m). Solve 3*b = 4*q - 4, 2*b - i*q + 6 = -2*b for b. -4 Suppose 42*a - 40*a - 142 = 0. Let m = 74 - a. Suppose m*p = -w - 5, -4*w - 2*p = -0*p - 10. Solve 0 = 4*b + 20, -b - 24 = g + w*b for g. 1 Suppose 90*b - 94*b = 5*z - 42, 5*z = 5*b + 15. Solve 2*k = -2*o + 5*o - 15, 4*k - b*o = -21 for k. -3 Suppose 3*f - 1 = w - 5, -2*f = -4*w + 16. Let y be 2/(-25) - (-2)/100*254. Solve -4*t + 3*p = w, 6*t - y*p = t - 10 for t. 2 Suppose 4*c - 4*l - 88 = 0, 35 = -14*c + 16*c - 5*l. Suppose 20 = 15*m - c. Solve m*i + 0*w + 4*w - 19 = 0, -21 = -i - 5*w for i. 1 Suppose 0 = -l + 11*k + 44, -3*k = -4*l - 2 + 14. Let v(p) = 2*p**3 + 5*p**2 - 4*p - 2. Let t be v(-3). Solve l = -4*m - h - 16, m + h = -0*h - t for m. -5 Let c be (10*(-3)/(-2))/3. Solve -c*z = -5*o + 7*o - 19, -z - 5*o - 10 = 0 for z. 5 Let w(k) = -k**3 + 8*k**2 - 14*k + 17. Let b be w(6). Suppose -i = -25 - b. Solve u = v - 5*v - 7, -5*v + 3*u = i for v. -3 Suppose 45*r + 27 - 379 = 278. Solve 0 = -r*l + 12*l + 3*z + 17, z = -3 for l. 4 Let n = 18 + -15. Let d(i) = 11*i**3 + 2*i**2 + i - 2. Let w be d(1). Let t be ((-5)/((-15)/w))/(1/6). Solve -5*u = -r + t, 0*r = -3*u - n*r for u. -4 Let g(d) = -d + 14. Let n = -10 + 20. Let h be g(n). Suppose -h*t - 3 = -t - 3*x, 2*x = 3*t + 2. Solve y - 3*w - 4 = -t*w, -y = 4*w + 17 for y. -5 Suppose 12*m - 11717 = -11681. Solve -2*u + 19 = m*j, 10*u = 9*u + 5*j - 10 for u. 5 Suppose 5*r = -3*y + 1, 2*r - 5*y - 26 = -7. Suppose -14*j - 1926 = -461*j - 195*j. Solve -r*q + j = -2*k - q, -k - 3*q + 2 = 0 for k. -1 Suppose -35*i + 91 + 89 = i. Solve -50*d + 47*d - 1 = 2*h, -d - i*h - 22 = 0 for d. 3 Suppose -t = -6*t + 35. Let s be -14*7/42 - (-55)/3. Suppose t*r + 2 - s = 0. Solve -4*b = 3*j, 5*j - j + r*b = 0 for j. 0 Let m(p) be the first derivative of -p**3/3 - 5*p**2/2 + 10*p - 17. Let z be m(-6). Let x be 2 - (2*-2
{ "pile_set_name": "DM Mathematics" }
556, 832, 1108, 1384, 1660? 276*t + 4 What is the x'th term of -221, -207, -177, -125, -45, 69, 223, 423? x**3 + 2*x**2 + x - 225 What is the f'th term of -21, -21, -25, -33, -45? -2*f**2 + 6*f - 25 What is the k'th term of -167, -320, -479, -644, -815, -992? -3*k**2 - 144*k - 20 What is the z'th term of -311, -310, -309, -308? z - 312 What is the b'th term of -10, -24, -48, -82? -5*b**2 + b - 6 What is the v'th term of 130, 130, 138, 160, 202, 270, 370? v**3 - 2*v**2 - v + 132 What is the f'th term of 1, 17, 29, 37? -2*f**2 + 22*f - 19 What is the p'th term of -80, -187, -364, -611, -928, -1315, -1772? -35*p**2 - 2*p - 43 What is the i'th term of -223, -868, -1931, -3406, -5287, -7568, -10243, -13306? i**3 - 215*i**2 - 7*i - 2 What is the v'th term of 119, 246, 369, 482, 579, 654, 701, 714? -v**3 + 4*v**2 + 122*v - 6 What is the v'th term of -17, -27, -23, 1, 51, 133? v**3 + v**2 - 20*v + 1 What is the s'th term of -87, -360, -817, -1458, -2283, -3292, -4485? -92*s**2 + 3*s + 2 What is the k'th term of -37128, -37128, -37120, -37098, -37056, -36988, -36888, -36750? k**3 - 2*k**2 - k - 37126 What is the r'th term of -33, -69, -107, -147? -r**2 - 33*r + 1 What is the s'th term of -17, -41, -105, -227, -425, -717, -1121, -1655? -3*s**3 - 2*s**2 + 3*s - 15 What is the d'th term of -21, -46, -71? -25*d + 4 What is the n'th term of 47, 420, 1431, 3398, 6639, 11472? 53*n**3 + n**2 - n - 6 What is the j'th term of 969, 968, 967, 966, 965, 964? -j + 970 What is the x'th term of -232, -226, -208, -172, -112, -22, 104, 272? x**3 - x - 232 What is the i'th term of 60, 122, 184, 246, 308? 62*i - 2 What is the g'th term of 101, 108, 115, 122, 129? 7*g + 94 What is the t'th term of -16, -27, -40, -55? -t**2 - 8*t - 7 What is the g'th term of 21, 114, 321, 684, 1245? 7*g**3 + 15*g**2 - g What is the u'th term of 628, 634, 652, 688, 748, 838, 964, 1132? u**3 - u + 628 What is the n'th term of -78, -43, 42, 201, 458, 837? 4*n**3 + n**2 + 4*n - 87 What is the b'th term of -19, -24, -31, -40? -b**2 - 2*b - 16 What is the z'th term of -10, -105, -358, -847, -1650, -2845, -4510, -6723? -13*z**3 - z**2 - z + 5 What is the y'th term of 29, 57, 85, 113, 141, 169? 28*y + 1 What is the w'th term of 941, 3758, 8453, 15026, 23477, 33806, 46013? 939*w**2 + 2 What is the p'th term of -277, -1081, -2415, -4273, -6649, -9537, -12931, -16825? p**3 - 271*p**2 + 2*p - 9 What is the m'th term of 3913, 7825, 11739, 15655, 19573, 23493? m**2 + 3909*m + 3 What is the o'th term of 29, 0, -79, -232, -483, -856, -1375? -4*o**3 - o**2 + 2*o + 32 What is the c'th term of 4, 24, 56, 100, 156, 224? 6*c**2 + 2*c - 4 What is the x'th term of 28, 60, 100, 148, 204, 268? 4*x**2 + 20*x + 4 What is the h'th term of -12, 2, 18, 30, 32, 18? -h**3 + 7*h**2 - 18 What is the z'th term of 97, 94, 91, 88, 85, 82? -3*z + 100 What is the l'th term of 47, 210, 487, 878? 57*l**2 - 8*l - 2 What is the l'th term of -299, -303, -307, -311, -315? -4*l - 295 What is the h'th term of -15, -34, -79, -162, -295, -490, -759, -1114? -2*h**3 - h**2 - 2*h - 10 What is the i'th term of -61, -128, -197, -268, -341, -416? -i**2 - 64*i + 4 What is the j'th term of -153, -235, -317? -82*j - 71 What is the m'th term of 264, 264, 272, 294, 336, 404? m**3 - 2*m**2 - m + 266 What is the t'th term of -18, -13, 4, 39, 98, 187, 312, 479? t**3 - 2*t - 17 What is the n'th term of 2020, 2014, 2008, 2002, 1996, 1990? -6*n + 2026 What is the h'th term of 3779, 7559, 11341, 15125? h**2 + 3777*h + 1 What is the b'th term of -77, -137, -177, -191, -173? b**3 + 4*b**2 - 79*b - 3 What is the l'th term of 2, -4, -18, -46, -94? -l**3 + 2*l**2 - 5*l + 6 What is the m'th term of 21, 19, 5, -21? -6*m**2 + 16*m + 11 What is the p'th term of -263, -275, -287? -12*p - 251 What is the f'th term of 55, 105, 155? 50*f + 5 What is the u'th term of -142, -307, -474, -643, -814, -987, -1162? -u**2 - 162*u + 21 What is the g'th term of -39, -107, -235, -435, -719? -2*g**3 - 18*g**2 - 19 What is the v'th term of -2274, -2269, -2260, -2247, -2230, -2209, -2184? 2*v**2 - v - 2275 What is the t'th term of 149, 300, 447, 590, 729? -2*t**2 + 157*t - 6 What is the z'th term of 17279, 17278, 17277, 17276? -z + 17280 What is the f'th term of -42, -51, -48, -27, 18? f**3 - 16*f - 27 What is the w'th term of -341, -673, -1005, -1337, -1669? -332*w - 9 What is the h'th term of 19, 48, 83, 124, 171, 224? 3*h**2 + 20*h - 4 What is the c'th term of 16681, 16675, 16665, 16651, 16633, 16611, 16585? -2*c**2 + 16683 What is the r'th term of 37, 59, 91, 139, 209, 307, 439, 611? r**3 - r**2 + 18*r + 19 What is the t'th term of -177, -157, -123, -75, -13, 63, 153? 7*t**2 - t - 183 What is the b'th term of 30, 33, 36, 39, 42? 3*b + 27 What is the f'th term of -15, -9, 1, 15, 33? 2*f**2 - 17 What is the c'th term of 51, 73, 107, 153, 211? 6*c**2 + 4*c + 41 What is the x'th term of 55, 55, 57, 61, 67? x**2 - 3*x + 57 What is the q'th term of -221, -876, -1967, -3494, -5457, -7856? -218*q**2 - q - 2 What is the n'th term of -76565, -76567, -76569, -76571, -76573, -76575? -2*n - 76563 What is the a'th term of 431, 420, 409, 398? -11*a + 442 What is the a'th term of -37, -37, -47, -73, -121, -197, -307? -a**3 + a**2 + 4*a - 41 What is the d'th term of -2016, -2017, -2018? -d - 2015 What is the g'th term of -843, -1678, -2513, -3348? -835*g - 8 What is the s'th term of 3, 22, 59, 114, 187, 278? 9*s**2 - 8*s + 2 What is the c'th term of -30, -53, -76, -99? -23*c - 7 What is the m'th term of 231, 459, 687, 915, 1143? 228*m + 3 What is the s'th term of 61, 54, 47, 40, 33, 26? -7*s + 68 What is the t'th term of -85, -89, -97, -109, -125? -2*t**2 + 2*t - 85 What is the w'th term of -23364, -23365, -23366, -23367? -w - 23363 What is the n'th term of 155, 303, 447, 587? -2*n**2 + 154*n + 3 What is the k'th term of -153, -154, -155, -156, -157? -k - 152 What is the j'th term of -219, -242, -275, -324, -395, -494, -627? -j**3 + j**2 - 19*j - 200 What is the a'th term of -966, -967, -968, -969? -a - 965 What is the i'th term of 33, 55, 69, 75, 73? -4*i**2 + 34*i + 3 What is the h'th term of -12830, -12829, -12828? h - 12831 What is the a'th term of -135, -273, -413, -555, -699, -845? -a**2 - 135*a + 1 What is the m'th term of 173, 165, 145, 107, 45? -m**3 - m + 175 What is the m'th term of -52, -28, -4, 20, 44? 24*m - 76 What is the a'th term of -106, -212, -318, -424, -530? -106*a What is the d'th term of 88, 180, 270, 358? -d**2 + 95*d - 6 What is the q'th term of 13, 25, 35, 43, 49, 53, 55? -q**2 + 15*q - 1 What is the l'th term of -536, -535, -534, -533, -532? l - 537 What is the j'th term of -126, -183, -226, -249, -246? j**3 + j**2 - 67*j - 61 What is the d'th term of 14, 9, 0, -13, -30? -2*d**2 + d + 15 What is the u'th term of -280, -280, -274, -256, -220? u**3 - 3*u**2 + 2*u - 280 What is the g'th term of -2975, -2970, -2953, -2918, -2859, -2770, -2645, -2478? g**3 - 2*g - 2974 What is the n'th term of -570, -1157, -1760, -2385, -3038, -3725, -4452, -5225? -n**3 - 2*n**2 - 574*n + 7 What is the i'th term of 23, 28, 35, 44? i**2 + 2*i + 20 What is the a'th term of -8, -21, -50, -101, -180, -293, -446, -645? -a**3 - 2*a**2 - 5 What is the s'th term of -284, -300, -342, -422, -552, -744, -1010? -2*s**3 - s**2 + s - 282 What is the c'th term of 31, 63, 95, 127, 159? 32*c - 1 What is the m'th term of 695, 1361, 2027? 666*m + 29 What is the k'th term of 69, 150, 231? 81*k - 12 What is the x'th term of 2, -23, -70, -139, -230, -343, -478? -11*x**2 + 8*x + 5 What is the l'th term of 25, 84, 207, 418, 741, 1200, 1819, 2622? 4*l**3 + 8*l**2 + 7*l + 6 What is the f'th term of 58, 107, 144, 163, 158, 123, 52, -61? -f**3 + 56*f + 3 What is the s'th term of 147, 274, 401? 127*s + 20 What is the y'th term of -69, -135, -191, -231, -249, -239, -195? y**3 - y**2 - 70*y + 1 What is the g'th term of -34, -40, -46, -52, -58? -6*g - 28 What is the y'th term of 86, 21, -56, -151, -270, -419? -y**3 - 58*y + 145 What is the b'th term of 96, 388, 874, 1554, 2428? 97*b**2 + b - 2 What is the w'th term of 6, 17, 26, 33, 38, 41, 42? -w**2 + 14*w - 7 What is the r'th term of -43, -76, -95, -94, -67, -8, 89, 230? r**3 + r**2 - 43*r - 2 What is the l'th term of 1, 9, 23, 43? 3*l**2 - l - 1 What is the t'th
{ "pile_set_name": "DM Mathematics" }
he value of 6*(6/(-1))/6? -6 16*11/(-220)*10/(-116) 2/29 What is (4/5)/(-203*22/(-385))? 2/29 2*((-90)/9)/110 -2/11 What is the value of ((-64)/(-8))/80*-1? -1/10 What is the value of (-8)/616*-11*-35? -5 What is the value of 3/12*16/22? 2/11 What is the value of (57/171)/(2/6)? 1 What is 18/((-10206)/45)*6/(-5)? 2/21 Calculate (20/(-40))/((-2)/(-4)). -1 Calculate (-3)/9*-1*-3*4. -4 What is (4/10*-1)/(1/(-10))? 4 What is the value of ((-14)/28*9)/((-2)/4)? 9 ((-2)/12)/((-8)/16*1) 1/3 What is the value of (-1*1)/(33/(-6))? 2/11 What is the value of 148/37*2/8? 1 Calculate (8/6)/(4/12). 4 Evaluate (-12)/12*2*-1. 2 What is (12/(-21))/((-42)/49)? 2/3 What is (-26)/13*(-3)/6? 1 Evaluate 6/(-2)*2/21. -2/7 What is (12/2)/(-24)*(-1)/1? 1/4 What is (-5)/(-10)*6/(-3)*1? -1 Evaluate 46/161*(-14*1)/2. -2 What is (-5)/(-5)*2/(-8)*-2? 1/2 (3/(-26))/(36/(-48)) 2/13 ((-7)/(-18))/((-154)/(-66)) 1/6 -5*(-2)/15*6 4 What is 1/(11/(66/6))? 1 (-6)/10*(25/35)/1 -3/7 What is (-3*(-1)/7)/(219/(-146))? -2/7 What is (3/(27/(-6)))/((-84)/(-378))? -3 Calculate (-278)/973*2/((-20)/(-14)). -2/5 ((4/2*-1)/1)/(-1) 2 What is (8/1*(-1)/(-6))/(-2)? -2/3 (((-192)/(-84))/(-8))/(5/(-7)) 2/5 Calculate (-4)/(-3)*3*(-1)/1. -4 What is 2*(-1)/3*60/120? -1/3 Calculate (23/575)/(4/(-10)). -1/10 What is (((-18)/(-15))/3)/((-2)/10)? -2 What is the value of (-55)/(-55)*3/(45/(-2))? -2/15 Calculate ((-10)/(-28))/(130/(-312)). -6/7 Calculate (1/(-2))/((-66)/396). 3 Calculate 2/2*12/24*10. 5 (1/3)/(154/(-2772)) -6 (-3)/8*(-17)/(153/(-6)) -1/4 What is the value of 5/480*6*(-4)/(-2)? 1/8 3/(-1)*(-84)/(-252) -1 Evaluate ((1395/(-54))/31)/((-3)/(-3)). -5/6 What is the value of (-5)/(-20)*-3*64/60? -4/5 What is the value of 2/2*15/6*2? 5 Calculate 6*(-10)/200*5/(-6). 1/4 (-2)/(-3)*60/8*-1 -5 Calculate ((-2)/(120/(-30)))/((-1)/4). -2 What is the value of (8/4)/(2/((-4)/18))? -2/9 3/(-6)*(-9)/(-18) -1/4 What is the value of (1/(5/(-6)))/(96/(-320))? 4 (69/230)/((-1)/(-2)) 3/5 Calculate (-72)/45*5/(-2). 4 What is (2/((-4)/(12/9)))/3? -2/9 Evaluate (-9)/((-12)/40*2*5). 3 Calculate 14/(-245)*14/(-2). 2/5 Evaluate (230/46)/((-5)/(-1)). 1 Calculate 6*3/27*18/2. 6 What is the value of (-2)/(-7)*(-4)/((-16)/4)? 2/7 (-44)/132*(-6)/(-2) -1 What is ((-1)/(-5))/(108/90)? 1/6 352/132*1*(-1)/4 -2/3 Evaluate 48/(-12)*(-1)/4*-2. -2 What is the value of -4*(5/(-25))/((-50)/(-5))? 2/25 1684/(-1263)*(-12)/(2*1) 8 What is (-3)/9*-15*-1? -5 (8/(-60))/(8/6)*2 -1/5 Evaluate (18/(-54))/((10/6)/(-1)). 1/5 What is the value of (-5*(-8)/150)/((-4)/(-10))? 2/3 What is the value of 4/6*(-147)/(-49)? 2 What is the value of (-655)/(-524)*(-12)/(-5)? 3 ((-44)/(-55))/((-104)/20) -2/13 What is 30/175*25/(-15)? -2/7 What is the value of 245/(-14)*(-15)/105? 5/2 What is the value of ((-18)/78)/(6/4)? -2/13 (((-8)/(-10))/((-7)/35))/(-2) 2 What is (3/30)/(-8*(-2)/(-16))? -1/10 What is the value of (2/(-3))/((-16)/120*-5)? -1 Evaluate (14/224)/(-3*(-1)/18). 3/8 Calculate 2/(-8)*3*(-2)/(-1). -3/2 What is ((8/(-2))/(-8))/((-2)/4)? -1 Calculate (-5)/10*(-3)/(9/(-2)). -1/3 What is the value of 14/7*2*4/(-8)? -2 What is the value of ((-14)/21)/(4*(-3)/18)? 1 What is (140/42)/(4/(-6))? -5 What is the value of ((-3)/(-24)*4/3)/(-1)? -1/6 What is (-3)/(-9)*-2*204/170? -4/5 What is the value of (-10)/(-10)*1/(-5)*2? -2/5 What is -3*((-12)/(-9))/(-2)*-1? -2 Evaluate (12/(-18))/((-10)/6). 2/5 What is the value of ((-3)/9)/(231/(-198))? 2/7 (4/(-30))/((-4)/(-18)) -3/5 What is the value of 3/(-4*(-5)/((-160)/(-12)))? 2 What is the value of ((-1)/(6/(-2)))/(2/4)? 2/3 ((-1)/3*1)/(40/(-240)) 2 (3/3)/((-5)/5*1) -1 Calculate 57/(-38)*8/(-42). 2/7 -2*((-1)/(-2)*2)/(-4) 1/2 Calculate (4/(-168))/(5/10)*-6. 2/7 What is (-1)/((-2)/(-28))*(-2)/7? 4 Evaluate (3/2)/(39/52). 2 Evaluate -4*(9/(-4))/(-9). -1 ((-115)/(-46))/(3/6) 5 What is the value of (32/(-56))/(6/(-14))? 4/3 What is ((-408)/(-68))/(3/2)? 4 (-40)/(-180)*(-2)/(-20)*5 1/9 (3/(-3))/(1/5) -5 (-6)/3*(-4)/(-20)*-1 2/5 What is 14/((60/21)/((-26)/91))? -7/5 What is the value of (-33)/(-6)*(-156)/(-143)? 6 Calculate 16/(-72)*(-6)/4. 1/3 ((-16)/(-112))/((-8)/(-14)) 1/4 ((-3)/1)/(-60)*180/24 3/8 Evaluate (((-32)/180)/4)/((-118)/531). 1/5 What is ((-8)/20)/((48/(-10))/(-6))? -1/2 Calculate 1*(-1*12)/3. -4 Evaluate -2*(-15)/(-20)*2. -3 What is ((6/(-21))/1)/((-21)/(-49))? -2/3 Evaluate 10/(-80)*-4*1. 1/2 What is (10/3)/(38/(-57))? -5 What is (-1)/(-2)*168/(-63)? -4/3 Calculate ((-12)/405*3)/(10/(-25)). 2/9 What is the value of ((-4)/(-20))/(4/(-10))? -1/2 Calculate -3*3*(-1)/45. 1/5 -2*(2/8)/((-7)/(-42)) -3 Evaluate ((-30)/(-8))/(-15)*-20. 5 Calculate (((-4)/(-2))/(-4))/(2/(-20)). 5 Evaluate (0/(-2))/((-9)/(-9)). 0 What is 27/6*4/(-126)*-3? 3/7 What is 4/16*-3*-4? 3 What is (21/56)/((1/(-8))/(-1))? 3 What is the value of 3/(-6)*1*10? -5 Evaluate (24/(-8))/((-6)/(-8)). -4 What is the value of 2/((-6)/120*-5)? 8 What is the value of -1*3/(-2)*360/(-135)? -4 Calculate (8/2)/(-2)*(-4)/(-24). -1/3 What is 4*2/16*10? 5 What is the value of 4*(-6)/24*1? -1 Calculate 5/(70/(-21))*(-6)/(-9). -1 Calculate 35*4/120*4/(-21). -2/9 Calculate ((-20)/14)/(17/119). -10 44/(-110)*2*1 -4/5 Calculate 9*4/48*(-40)/(-15). 2 Evaluate (5/(550/(-5)))/(4/(-16)). 2/11 Calculate (-2)/6*-6*2. 4 (-22)/3773*14*(-14)/4 2/7 (8/(80/5))/((-1)/(-4)) 2 What is the value of (21/154)/(-6*1/(-8))? 2/11 What is (-2)/12*9*8/(-18)? 2/3 45/(-15)*(-5)/((-15)/6) -6 What is ((-1)/(-3))/((-26)/195*10)? -1/4 Calculate (-7*(-52)/819)/((-2)/(-3)). 2/3 What is 2/(-4)*20/(-15)*6? 4 Evaluate 4/12*12/(-112)*-4. 1/7 (-2*(-5)/20)/(35/(-42)) -3/5 Evaluate (-26)/65*(-2)/6. 2/15 Calculate ((-264)/(-36))/11*6/(-14). -2/7 Evaluate (48/(-360))/((-6)/10). 2/9 Evaluate (261/116)/(9/24). 6 Calculate 1*1/5*40/(-48). -1/6 (90/(-81))/(10/15) -5/3 What is the value of (2*11/33)/((-1)/6)? -4 Evaluate (-5)/3*9/3. -5 (0/(-2))/(68/68) 0 (-1)/1*(-9)/9 1 Evaluate (2/(-12))/((-9)/72). 4/3 Calculate 248/(-186)*12/(-4). 4 What is the value of (2/60)/(5/(120/6))? 2/15 -2*-3*(-2)/(-12) 1 Evaluate (0/(3/3))/(2/1). 0 (18/12)/(28/(-8)) -3/7 What is the value of (-1)/(1/(-2))*(-65)/(-520)? 1/4 Evaluate (6*(-1)/(-8))/(11/(-132)). -9 What is the value of (-14)/30*189/(-147)? 3/5 What is the value of ((-7)/((-14)/(-9)))/(-6)? 3/4 Calculate 2/(-6)*(-48)/(-4). -4 Evaluate ((5/(-3))/5)/((-7)/(-21)). -1 What is (-1)/((-154)/55*20/32)? 4/7 What is (26/(-52))/(2*(-1)/(-1))? -1/4 (-1)/(12/(-2)*(-1)/6) -1 Evaluate (3/2)/(6/(84/7)). 3 What is the value of (-11)/((-924)/(-8))*3? -2/7 What is ((-25)/(5/1))/1? -5 What is 3*(-25)/(-30)*8/15? 4/3 (124/(-155))/(3/((-6)/(-4))) -2/5 Calculate 2/4*-2*-5. 5 What is (4/(-6))/(20/150)? -5 Calculate 4/(6*(-4)/(-90)*5). 3 Calculate (78/819)/(6/(-14)). -2/9 What is 11/(165/18)*3/27? 2/15 What is 52/(-39)*3/4? -1 (-5)/(-6)*36/(-90) -1/3 What is the value of ((15/18)/5)/(-1)? -1/6 Evaluate (((-18)/3)/108)/((-1)/(-4)). -2/9 (-4)/(-2)*(-111)/444 -1/2 What is the value of 18/(-84)*-2*(-1)/(-1)? 3/7 What is 44/187*1/2? 2/17 Evaluate (-4)/(-3)*3/2. 2 (-6*(-2)/8)/(9/(-30)) -5 What is (3*-1)/(4*(-126)/96)? 4/7 Calculate (2/(-4))/(86/344). -2 What is the value of ((-4)/(-30))/(((-297)/45)/11)? -2/9 Calculate (24/(-10))/((-288)/480). 4 Evaluate (-5*3/(-5))/(1/1). 3 What is (54/72)/(6/14)? 7/4 Calculate (-52)/(-39)*2/(1*4). 2/3 ((-1)/6*-9)/(6/(-16)) -4 What is ((-5)/30)/(3/3)? -1/6 Calculate 10/6*(-6)/2. -5 Evaluate 7/(21/(-6))*(-2)/(-4). -1 ((-1)/(-2))/(3/(-6)) -1 Evaluate 5/20*15*(-7)/(-70). 3/8 Calculate (2/2)/((-3)/(-3))*3. 3 ((-274)/1233)/(8/54) -3/2 What is the value of (-17)/(170/8)*-5? 4 (-5)/3*(-15)/(-5) -5 5*2*1*84/(-210) -4 ((-22)/55)/((-1)/5) 2 Evaluate (-45)/(-105)*(-2)/(-6). 1/7 What is ((-4)/2)/(-6)*1? 1/3 What is (162/180)/((-5)/((-25)/(-6)))? -3/4 Calculate ((-116)/(-29))/((-2)/(-2)). 4 ((-138)/(-161))/((-45)/(-21)) 2/5 What is the value of (12/42)/(24/28)*-3? -1 Evaluate ((-12)/16)/((-1)/(-4)). -3 What is (2/(-6))/(-1*5/(-15))? -1 What is the value of (-1*(-3)/(-4))/(1170/240)? -2/13 What is (6/(-9))/(((-80)/(-3))/(-5))? 1/8 (45/(-60))/((-5)/20) 3 Evaluate (-10)/15*1*13/39. -2/9 Evaluate 40/30*5/(-50). -2/15 (-8)/4*(-6)/4 3 What is ((-20)/10)/(28/4)? -2/7 Evaluate (-1)/(4/(-10)*(-2)/4). -5 Calculate 1*27/(-60)*(-320)/(-192). -3/4 What is the value of ((-6)/9)/(
{ "pile_set_name": "DM Mathematics" }
**(-2653/20) Simplify ((l**1*l*l**2)/(l**(1/2))**(30/11))/((l/l**6*l**(-2/11))/(l/l**1)**(10/13)) assuming l is positive. l**(86/11) Simplify (((m/((m*m**(-2/3))/m*m))/m*m**(-7))/((m**(-1/3)/m)/m*m**(-6/11)))/((m*m**(5/2)*m**(-5/2))/(m**(-5)*m**(-2/7)/m)) assuming m is positive. m**(-904/77) Simplify (a*a/a**6*a/(a**(3/5)*a)*(a**8)**(1/49))**26 assuming a is positive. a**(-28262/245) Simplify ((w*((w/(w*w**1*w*w))/w)/w)/(w**(-2/19)/w))**(13/7)*(w/w**(-2/15)*w*w*w)/w**(-2)*(w/(w**(-1)*w))/w*(w*w**0)/w*w assuming w is positive. w**(3506/1995) Simplify (((s*s*(s**(7/2)/s*s)/s*s)/((s*(s*s**(-2)*s)/s)/s))/(s*s*s/(s*s**(1/4))*s**(-1/12)))**(1/92) assuming s is positive. s**(29/552) Simplify ((y**(-25/2)*y**11)/(y**28/y**(-1/5)))**(-22) assuming y is positive. y**(3267/5) Simplify (i*i**(4/7)*i**(-6))/((i**(1/2)/i)/(i*i*i*i/(i**(-2/3)*i)*i*i))*((i*i**(1/7)*i)/i**(2/5))/(i**(-1))**44 assuming i is positive. i**(9971/210) Simplify x**1/((x*x/(x/x**(-3))*x*x)/x*x)*((x**(-3)/x)/x)/x**(-6)*x*x/(x**2/x)*x/(x**(-3)*x)*x**(-6)*x*x*(x**4/x)/x assuming x is positive. x**4 Simplify ((w**(-2)/(w**(1/2)*w))/(w**(-1/12)*w*(w**(-6/11)*w)/w))/((w*w*w**(2/21)*w*w**(-8)*w)/(w**(-2))**7) assuming w is positive. w**(-12905/924) Simplify ((((j/(j**14*j))/j*j**(-4/7))/((j/(j**(4/7)*j))/(j*j*j**(2/49)*j)))**(-16))**(-17) assuming j is positive. j**(-159392/49) Simplify (g**(-1)*(g**(2/7)/g)/g)/((((g*g*g**(3/4))/g)/g)/((g*g**(-3)/g)/g))*((g/(g**(-4)/g))/((g*((g**(-1/8)/g)/g*g)/g*g)/g))**(5/18) assuming g is positive. g**(-1843/336) Simplify ((((g**(-1)/g*g)**(-3))**8)**21)**(22/9) assuming g is positive. g**1232 Simplify ((n*(n/n**(1/3))/n*n)/n*n)**(-15)/(n*n**(-2)*n*n**(-7))*(((n**(-2/3)/n)/n)/n)/(n/(n**4/n))*(n*n*n**(-2/25)*n)/n**(-8) assuming n is positive. n**(-656/75) Simplify (((f*f**(-1))/f)**28/((f**(-8)/f)/f**7))/(f**(-3)*f*f*f/((f**7*f*f)/f*f)*(f**(-2))**(-13/8)) assuming f is positive. f**(-25/4) Simplify (m**(-4)/((m*m**(1/4)*m*m)/m))/((m**(-4)/m)/m*m*m**(1/6))*(m*m*m**(2/7))**(-7)/(m**0*m*m*m*m**(-1/5)*m*m*m*m) assuming m is positive. m**(-1453/60) Simplify (p/p**27*p**(-4/11))/(p/(p/(((p/p**(-40))/p)/p)))**(-5/19) assuming p is positive. p**(-3365/209) Simplify (r**(-1/9)/(r*r**(7/6)*r)*((r/(r**3*r)*r)/r)/r**(3/10))**(-1/19) assuming r is positive. r**(296/855) Simplify ((d**(-3/2)/(d*d*(d*d/d**(1/2))/d))/(d**(2/13))**22)**(-19) assuming d is positive. d**(1824/13) Simplify (t/((t**(-2/3)*t*t)/t)*t/((t**(-10)*t)/t)*t*t*t)**31/((t**(3/5)/t**(-6))/(t**(-1)/t)**(-2/85)) assuming t is positive. t**(114269/255) Simplify k/(k/k**4)*k**5*k*(k**(-1))**8*(k**(-4)/k**(2/5))**(-41) assuming k is positive. k**(912/5) Simplify (((y*y**15*y*y)/(y/(y**(4/11)/y)))/(y/y**26*y*y*(y**27/y)/y))**(-13) assuming y is positive. y**(-2054/11) Simplify ((j**(-14/5)*j)/j)/(j/(j*j/(j**(-31)*j))*j)*(j**(-2/81)/j)**48 assuming j is positive. j**(-2968/135) Simplify ((l/(l*l**7)*l*l**(1/17))/(((l*l**(8/5)*l*l)/l)/(l/(l*l**(-7/5)))))**(1/15) assuming l is positive. l**(-692/1275) Simplify ((w**1)**(5/6)*(w**(1/4))**(-31/3))/(w**(-1)*w/((w*(w/((w*w/(w/(w*w*w*w**(9/5)))*w*w*w*w*w*w*w)/w)*w)/w*w)/w)*w)**7 assuming w is positive. w**(-1547/20) Simplify ((((u**(3/2)/u)/u)/u**4)/(u**(2/9))**(-1/60))/(u**(11/4)/(u*u/u**(-1/2)))**20 assuming u is positive. u**(-1282/135) Simplify ((v*v**(-3))/(v**(-4)*v))/(v**(2/7))**(36/7)*(v**1/v**4)**14 assuming v is positive. v**(-2081/49) Simplify (u**(-19)/u)/(u*u/u**9)*(u*u*(u*u*u**(-1/11)*u*u*u*u)/u*u)**(31/3) assuming u is positive. u**(756/11) Simplify ((w**2*w)**(5/12))**(-1/75)*(w*w**(2/9)*w**5*w)**(-9) assuming w is positive. w**(-3901/60) Simplify (c**(5/3)/(c*c**4))/((((c*c/(c*c**(-7)*c))/c)/c)/c*c**5)*((c*c**(2/23)*c)/c*(c/((c*c**(-2/27))/c))/c)**(-34) assuming c is positive. c**(-32173/621) Simplify ((n/(n*(((n**(3/2)/n)/n)/n)/n))**(9/2)*(n**(7/2))**(-4/9))**8 assuming n is positive. n**(698/9) Simplify (l/((l*l**(-40)*l)/l)*l*l*l/(l/l**39*l)*l)/(l*l**(-1/2)*l**8/l) assuming l is positive. l**(147/2) Simplify ((y**(2/11)*y**26)/(y*y/(y/(y/(y**(-5/3)/y*y)*y)*y)*((y**(11/4)*y)/y)/y*y))**(-6/13) assuming y is positive. y**(-2609/286) Simplify ((g*g*g/((g*g**(-6)*g*g)/g))/(g*g**(-12)*g))**3*((g*g**4)**(-36))**(1/19) assuming g is positive. g**(789/19) Simplify ((s*s/s**(-2/7))/s)**(-4/9)/((s**(3/5)*s)/(s**0/s))*(((s*s*(s/(s/s**(-3/4)))/s)/s)/s**1)**(3/2) assuming s is positive. s**(-1623/280) Simplify ((f**(2/19)/f**(2/3))/((f/f**(3/7))/((f*f**(-8/5))/f)))**23 assuming f is positive. f**(-125396/1995) Simplify (((v/(v**(-4/9)*v))/v)**44*(v/(v*(v*v**(-5))/v*v))**(11/5))**(8/5) assuming v is positive. v**(-5632/225) Simplify (w*w**(-2/3)*w**2*w*w*w**(-3)/w*w*w/(w/(w**(-3/8)*w)))/((w/((w*(w**(4/5)*w)/w*w)/w*w*w))/w*w*w**10*w)**(-8/7) assuming w is positive. w**(9517/840) Simplify ((((d*d**(-1/14)*d)**(-19))**(3/7))**2)**(-32) assuming d is positive. d**(49248/49) Simplify ((c*c*c**(-1/27))/c)/(c**46*c)*c**(8/9)/(c/(c**(2/37)/c*c)) assuming c is positive. c**(-46048/999) Simplify ((i**(7/3))**(5/6)/(((i*i**(-27/2))/i)/(i*i**(-2/71))))**1 assuming i is positive. i**(10490/639) Simplify (o**14/o**(-3/7)*(o**6*o)**(-40))**(3/26) assuming o is positive. o**(-429/14) Simplify (((n*n**(-22))/n**(-19))/(n/(n/(n*n**2*n)))**37)**36 assuming n is positive. n**(-5400) Simplify (t*(t/t**5)/t*t/t**(1/11))**27*((t**9*t)/(t/(t/t**6*t)))/(t**(-1/6)*t*t**(-1/5)) assuming t is positive. t**(-26099/330) Simplify (((((g*g**(-5))/g)/g*g*g*g*g**(1/3)*g)**10)**49)**3 assuming g is positive. g**(-2450) Simplify ((h**4*h)/h**(14/9)*(h/h**(2/29))**(-3/2))**(2/123) assuming h is positive. h**(1069/32103) Simplify ((u*u**6/u)/u*(u/(u/(u*u**(-1/3)/u)))/u*u**(3/5)/(u*u**(-6)))/(u*u*u**(-6)*u*((u**(-1/4)/u)/u)/u*(u*u**(1/4))/u*u**(-4/3)) assuming u is positive. u**(83/5) Simplify (u**(-2/5)*u*u/(((u*u**(2/11)*u)/u)/u)*(u*u*u**(-2/5))**(-2/67))/(u**(-5)*u/((u*u/u**(-9)*u)/u)*(u**(-8)*u)/(u*u**(1/3)/u*u*u)) assuming u is positive. u**(56831/2211) Simplify ((z**(-1/6))**(-2/39)/(z*z/(z*z**(2/31)))**42)**(-8) assuming z is positive. z**(1139800/3627) Simplify (((d**(-2/3)*d**(7/3)*d)/(d**3*((d**(1/4)*d)/d)/d))**(-1/9))**(2/57) assuming d is positive. d**(-5/3078) Simplify ((r/r**0)/(r**(-5)/r))/((r/((r*r**(-6))/r))/r**(-4/5))*((r*r**(-2/3))**(-45))**(14/11) assuming r is positive. r**(-1094/55) Simplify (((m/(m**9/m))/m)**(-2/41)/(m*(m*m/(m**(8/9)*m))/m*m*m**(6/11)))**(-1/7) assuming m is positive. m**(5140/28413) Simplify (j**2)**(2/35)*j**(4/7)*j**(-5)*j*(j**(-1)*j)**(4/13)/(j**(3/8)*j/j**(-2/15)) assuming j is positive. j**(-4051/840) Simplify (((n**(-1/2))**(-2/57)*(((n/(n/(n/(n*n**(2/9)*n))))/n)/n*n)**46)**(-9/8))**(27/5) assuming n is positive. n**(471879/760) Simplify (((j/(j*j**25*j))/j**1)/((j*j/(j/j**(6/13)))/((j**(-1/24)/j*j)/j)))**28 assuming j is positive. j**(-64435/78) Simplify (((o*(o/(o*o**1)*o)/o*o)/o*o)**(-12)/(o**2*o/(o/(o**(-6)/o*o*o))))/(o**(-2)*o*o**(-1)*o*(o*(o/(o*o**1))/o)**(-34)) assuming o is positive. o**(-42) Simplify ((x**(-7)*x**(-1/5))/(x/(x/(x*(x**2*x)/x)))**17)/((x**(-7)/(x**(-3)/x))/(x*x*x/x**(-1/4)*x*x/x**(2/9)*x)) assuming x is positive. x**(-8851/180) Simplify (j*j**(2/3))/(j**(-1/6)*j)*j/j**(10/3)*j**(-18) assuming j is positive. j**(-39/2) Simplify (((u/(u*u**(-2/9))*u)/((u*(u/u**(-7))/u)/u))/((u*u*u**(-2/13))/u**1))**(1/74) assuming u is positive. u**(-775/8658) Simplify ((t**(-14)*((t*(t*t/(t*t*t/t**19)*t)/t)/t)/t)/(t/(t*t*t**18)*t)**(23/5))**35 assuming t is positive. t**3003 Simplify (f/f**(1/3)*f/(f**(-4/3)*f)*f**(-2/9)/(f/f**6))/(f/f**(1/3)*f**(-2/19)/f*((f/((f*f**2)/f))/f)/f*f**(-5/2)) assuming f is positive. f**(4349/342) Simplify (((h*h**(-1/2))/h)**50*h**(-7/5)*h**(1/3))/(((h/h**(2/3))/h)**(-40)/((h*h*h*h**0/h)/h)**(-11/6)) assuming h is positive. h**(-1637/30) Simplify ((g*g**1/g)**(-27))**(-2/175)/((g/g**(-1/2)*g)**(6/5)/(g**(1/3)/g*g*g**(3/2)/g*g)) assuming g is positive. g**(-901/1050) Simplify g**(-5)*g**(1/3)*(g/(g/g**(1/4)))**(-49)*(g**(-2))**(1/32)*(g/(g*g**(-2)))/g*g*g**(-2/21) assuming g is positive. g**(-5065/336) Simplify (g**(-6)*g*g**0*g)**(12/11)*(((g**(-1/6)*g)/g)/(g*g*g/(g/(g*g*g**2))))/(g**(2/3)*g*g**4) assuming g is positive. g**(-1069/66) Simplify (w/(w/(w*w**(13/7))))/(w*w**(6/11)/w*w)*(w/(w**(-7)/w*w*w*w))/(w*w/w**
{ "pile_set_name": "DM Mathematics" }
+ -0.7. What is the third smallest value in s, 4, 0.1? 4 Let k = 1 - -2. Let a = -184.3 + 184. What is the biggest value in k, -3, a? k Let z = 6 + -4. Let r = z - 2.4. Let f = r - 0. What is the biggest value in 2/7, 0.2, f? 2/7 Let i = 24/13 - 434/221. Let q = 0 + -0.2. What is the smallest value in -2/23, i, q? q Let w(p) = p**3 + 11*p**2 + p - 4. Let m be w(-5). Let z = -708/5 + m. Which is the smallest value? (a) -5 (b) 2/9 (c) z a Let g be 5/2*(-4)/5. Let s be (-22)/(-8) - 1/(-4). Which is the smallest value? (a) s (b) g (c) -1 b Let y(h) = -h**2 + 15*h + 13. Let d be y(16). Which is the smallest value? (a) 0.5 (b) d (c) 2 b Let m = 0.06 - -1.94. Let b be 2/(-8) - 670/8. Let t be 2 + (2 - b/(-22)). What is the second smallest value in t, m, -4/3? t Suppose 3*l - 10 = -1. Let o = 19.4 + -1.4. Let n = o - 13. Which is the smallest value? (a) l (b) -0.1 (c) n b Let v = 0.3 + -0.32. Let t = v + 5.02. Which is the biggest value? (a) 2/3 (b) -0.3 (c) t c Let u = 7 + -5. Suppose -2*g - u*g = 0. Suppose -6 = -2*w - g*w. What is the third biggest value in w, 0, -1/3? -1/3 Let s = -49 + 48.6. Which is the second smallest value? (a) s (b) 0 (c) -0.1 c Let r = 12.2 - 12. Let n be 2/10 + 78/(-15). Which is the smallest value? (a) -2/3 (b) r (c) n c Let y = -4.6 - -0.6. Suppose h + 1 = -3*o, 3*h - 10 = -4*o - 3. What is the biggest value in -1, y, h? h Let x = -4 - -3.95. Let q = x - 0.35. Let k = 2/3 - 4/3. Which is the third biggest value? (a) q (b) -1/2 (c) k c Suppose -m = -3*l + 49, 4*m = -l + 3*l - 46. Suppose -3*z + 5 = 3*n - 1, -l = -5*n. What is the third smallest value in -0.5, z, 0.1? 0.1 Suppose -30*h = -33*h + 12. What is the third biggest value in -14/9, -1/8, h? -14/9 Let s = 0.05 + 5.95. Let f = s + -11. Which is the biggest value? (a) -1 (b) f (c) 1/8 c Let b = 0.23 + 0.07. Let o be ((9/12)/1)/(-3). What is the biggest value in o, 2/9, b? b Let t = 11.4 + -4.6. Let q = 2.2 + t. Which is the smallest value? (a) 0.2 (b) 4 (c) q a Suppose -4*m - 2*s + 2 = -s, 3*s + 7 = m. Suppose -t + m = -3. Which is the second biggest value? (a) t (b) 1/3 (c) 0.3 b Let r = -12 - -20. Let z be (-3 - -1)*r/20. What is the second biggest value in -2, 3, z? z Let q = -41 - -46. Which is the smallest value? (a) q (b) -0.2 (c) -3/5 (d) -0.04 c Let j = -8.06 - -8. Let i = j + -0.94. Let o = -3.07 + 0.07. Which is the second smallest value? (a) 0 (b) o (c) i c Let k = 6 + -1. Which is the smallest value? (a) -5 (b) 0.2 (c) k a Let n = 0.9 + 0.1. Let h(p) = -p**2 - 2*p + 7. Let m be h(-3). Which is the second biggest value? (a) m (b) -2/11 (c) n c Let n = -4/59 - -87/413. Which is the second smallest value? (a) n (b) 2 (c) 0.07 a Let y be (3 + -1)/((-1)/(-144)). Let m be y/7 - (-6)/3. Let u = 43 - m. Which is the second biggest value? (a) -0.3 (b) u (c) 1 b Let h = 148 + -1334/9. Let r be (2/5)/((-1)/(-20)). Let q be (r/50)/(2/10). Which is the third biggest value? (a) -4 (b) h (c) q a Let b = 17 - 19. What is the second smallest value in -3, b, -2/5? b Suppose v - 6*v + 5 = 0. Let n = -4 - v. Which is the biggest value? (a) -3 (b) n (c) 5 c Let t = -2 + 7. Suppose -2*l = -2*d - 20, l - 2*d = -4*d - t. Suppose -1 = l*v + 4. What is the second biggest value in 0.2, v, 0? 0 Let c be (20/(-275))/(2/(-5)). Let n = 1.3 - 6.3. What is the third smallest value in c, n, -3? c Let z = 5.2 + -0.2. What is the third biggest value in 0.1, z, 0.2? 0.1 Suppose 3*r + 15 = -0*r. Let y be 140/(-264) - (-1)/4. Let x = -1/33 - y. What is the biggest value in -2/17, x, r? x Let t be (-1)/45 - 18/90. Let z = -130 + 1169/9. Which is the second smallest value? (a) z (b) 1/3 (c) t a Let m be (-8)/(-6)*22/88. What is the biggest value in m, -0.03, -2/19? m Let s = 0.27 + -0.37. Let u = 0.8 + -0.5. What is the second biggest value in s, u, -3? s Let i = -20 - -17. What is the second smallest value in -4, i, -5/4? i Suppose 0 = n - 4*s + 12, n + s + 2*s - 2 = 0. Let t be (4/70)/(n/(-40)). What is the second smallest value in 1/2, 3, t? t Let u = -16 + 17. What is the third smallest value in -3/4, u, -0.2? u Let m = 0.7 + -0.4. Let w = m + 0.2. Let u = -13.4 - -13. What is the third smallest value in w, -1/4, u? w Suppose -5*h + 9*h + 24 = 0. What is the second biggest value in -0.5, h, -0.3, -4? -0.5 Let f = -4 + -7. Let o = f - -7.5. Let n = 3 + o. Which is the second smallest value? (a) 1 (b) n (c) 2 a Suppose -30 = 5*j - 10. What is the biggest value in j, -1/3, 4, 0.4? 4 Let x be (-4)/(32/43) - -3. Let h = 117/56 + x. What is the third smallest value in -3/5, 0.1, h? 0.1 Let q be (-3)/(-6) + 10/4. Let i = 9 - 5. Let j = i + -5. Which is the second biggest value? (a) q (b) j (c) 2/9 c Let r = -4.934 + -0.066. Which is the second smallest value? (a) 8 (b) 0.2 (c) r b Let z = -8 + 4. Let t = 5 + z. What is the second biggest value in t, -5, -2? -2 Let s = 2.6 + -2.14. Let m = -0.06 + s. Let k = m - 0.6. What is the third biggest value in -1/7, 0.3, k? k Let o = -121626 + 1095797/9. Let i = -129 + o. Suppose 8*f - 12*f + 12*f = 0. What is the second smallest value in f, i, -4/7? f Suppose -4*v - 2*d + 12 = 0, -3*d + 2 = 3*v - 4. Which is the third smallest value? (a) 1 (b) -0.4 (c) v c Let l = 13 + -17. Which is the third biggest value? (a) 3 (b) -6 (c) l b Let h = 8 + -8.3. Let k = h - -0.5. Suppose 5*r - 3 - 12 = 0. What is the third smallest value in k, r, -0.1? r Let p be 3/(-6) - (-28)/88. Let x = 0.1 - -0.1. Which is the third biggest value? (a) x (b) 3 (c) p c Let v = -1 - -1.7. Let z = 0.4 - v. Which is the smallest value? (a) -1 (b) z (c) -0.4 a Let z = -21 + 21. Which is the third smallest value? (a) -1/2 (b) z (c) 0.3 c Let k = 0.35 + -0.4. Let z = k + -0.4. Let u = -0.05 - z. Which is the second biggest value? (a) u (b) -5 (c) -4 c Let v be 2/(4/4) + -2. Which is the biggest value? (a) v (b) 2/3 (c) -0.2 b Let p = -4.4 - -0.4. Let l be 6/27 - (-125)/45. Which is the biggest value? (a) p (b) l (c) 1/7 b Let m = 3 + -2. Let h be (-2)/20 - m/2. What is the third smallest value in h, -2/13, -0.5? -2/13 Let n = -8/3 + 3. Let g = 3.6 + -4. Let s = -162 + 645/4. Which is the smallest value? (a) n (b) g (c) s c Let y = 24.33 + -19.4. Let j = -0.07 - y. Let u = 5 + j. Which is the biggest value? (a) u (b) -2 (c) 5 c Let o be 1*-3*1/4. What is the smallest value in 2, -4/5, o? -4/5 Let i = 6/61 + -231/488. Let y = -12 + 14. Which is the smallest value? (a) i (b) y (c) 4/7 a Let t = 1.11 + 0.09. Let k = t + -1. Let l be (-9)/6*(-36)/81. Which is the second smallest value? (a) l (b) k (c) 1 a Let n be 1*(51/(-15) + 3). Let p = 0.8 - -0.2. Which is the biggest value? (a) 2/7 (b) n (c) p c Let d = 7 + -11. Let y = d + 4.1. What is the third biggest value in 1/4, y, 4? y Let x = 0.031 - -0.369. Which is the second biggest value? (a) x (b) -0.4 (c) -3/4 b Let h be (5605882/1860)/(-1)*37. Let s = -111515 - h. Let l = -4/93 - s. Which is the second biggest value? (a) -0.4 (b) l (c) 2 b Let y(m) = m**2 - 8*m - 12. Let u be y(9). Which is the second biggest value? (a) u (b) 3 (c) 0.3 c Let f = -23 - -22.6. What is the second smallest value in -4, -3, f? -3 Let h be 0 + 3 + (-147)/35. Which is the biggest value? (a) -1 (b) h (c) 14 c Let h = 6 + -11. Let y = 27 + -25. What is the second biggest value in y, -2/11, h? -2/11 Suppose 4*w = 3*w + 1. Let a(s) = s**3 + 6*s**2 + s + 3. Let y be a(-6). What is the smallest value in 1/3, y, w? y Suppose 0*p + 3*p = -12. Let r be (-8)/6 + p/6. Let c be 20/9 + (-4)/2. What is the third smallest value in c, r, -2/15? c Let f = 14 + -14. What is the biggest value in f, 0.2, -1/3? 0.2 Let i = 0.8 + -1.1. Let f = 0.2 + i. Suppose 9*s + 25 = 14*s. What is the second smallest value in f, 0, s? 0 Let v = -0.11 - -19.11. Let y = 16 - v. Let o = -3 + 4. What is the biggest value in y, o, 4/9? o Let w = -82 - -407/5. What is the second smallest value in w, 0.5, -0.3? -0.3 Let h = 3 - 7. Let r = 0.2 + 0.3. Which is the third smallest value? (a) r (b) h (c) 0 a Suppose 3*z + 3*b - 9 + 0 = 0, 17 = 3*z - b. What is the second smallest value in z, -0.5, -1? -0.5 Let m = 354/1963 - 4/151. Let n = -6.1 + 5.1. Which is the second smallest value? (a
{ "pile_set_name": "DM Mathematics" }
sqrt(1584) + (sqrt(1584) - -2*sqrt(1584)))**2. 2400*sqrt(11) + 158500 Simplify 3 + (sqrt(1216) - (-3*(sqrt(1216) + -2))**2) + 5*(-2 + sqrt(1216))*-5. -10927 + 96*sqrt(19) Simplify (4*(sqrt(78)/sqrt(6) + sqrt(13)) - (sqrt(13) + -1 + sqrt(13) - sqrt(13))*4) + (-3 + sqrt(117)*-1)**2 + 5. 22*sqrt(13) + 135 Simplify (-4*(-2 + 6*(0 + -3*sqrt(17))))**2*-1 + -2. -88194 - 1152*sqrt(17) Simplify 3*(3 + ((sqrt(98)*-2)**2 - sqrt(98))*3). -63*sqrt(2) + 3537 Simplify (1*(sqrt(1500) - (sqrt(1500) + sqrt(1500) + -1*sqrt(1500) + sqrt(1500))) - sqrt(1500))/(sqrt(30)/(-2*(sqrt(160) - sqrt(10)) + sqrt(10))). 100*sqrt(5) Simplify ((sqrt(36) + (sqrt(36)*1 - sqrt(36)))*-6)/((sqrt(96) - (sqrt(96) + sqrt(96)*-5))/sqrt(8)). -6*sqrt(3)/5 Simplify sqrt(5)*1*-4 + (sqrt(60)/sqrt(4))/sqrt(3) + -3. -3*sqrt(5) - 3 Simplify ((sqrt(204)/(sqrt(36)/sqrt(81)))/(sqrt(3) + sqrt(96)/sqrt(2) - -2*sqrt(432)))**2. 153/841 Simplify -1*(((sqrt(11) + -1)*-3)**2 + -1 + ((sqrt(11) + -1)*3 - ((sqrt(11)*-1)**2 + 5))). -88 + 15*sqrt(11) Simplify (4*sqrt(70)*2)/(-3*4*sqrt(10)) + -2. -2 - 2*sqrt(7)/3 Simplify (4*sqrt(95)*4)/(sqrt(5) - sqrt(125)*-1). 8*sqrt(19)/3 Simplify (sqrt(304)*2*-4)**2 - sqrt(304) - -5*(sqrt(171)*-2)**2. -4*sqrt(19) + 22876 Simplify (sqrt(32)/sqrt(2))/(sqrt(2) + sqrt(54)/sqrt(3) + sqrt(2)) + sqrt(14)/sqrt(7)*-6 + 4*(sqrt(2) + 1). -8*sqrt(2)/5 + 4 Simplify -1*(1*sqrt(57) - sqrt(57))/sqrt(3) + (-4*(sqrt(19)*1 - sqrt(19) - sqrt(19))*-3)**2. 2736 Simplify -4 + (6*(0 + sqrt(2299)))**2 + -6*((4*((-1*sqrt(2299) - sqrt(2299)) + sqrt(2299)))**2 + sqrt(2299)). -137944 - 66*sqrt(19) Simplify (-4*(sqrt(891)*1 + -2)*-6)**2 + 3. -20736*sqrt(11) + 515523 Simplify 5*3*(-1 + (sqrt(637) - (sqrt(637) - (sqrt(637) + 4*sqrt(637)))) + sqrt(325)*1)**2. -1200*sqrt(13) + 312015 Simplify (-6*(sqrt(33) - -5*sqrt(165)/sqrt(5)))/(-5*((sqrt(432)*2 + sqrt(432) - sqrt(432)) + sqrt(432) - sqrt(432))). 3*sqrt(11)/10 Simplify -4 + (sqrt(612) + 0)**2*-1 + 3. -613 Simplify (-2*(-1 + -1*sqrt(1331)*2 + 0 + sqrt(1331) + -2))**2. 264*sqrt(11) + 5360 Simplify (sqrt(1728)*2*-3)/(sqrt(12)/(sqrt(2)*1*4)). -288*sqrt(2) Simplify 1 + ((sqrt(17) - (-1 + sqrt(68) - sqrt(17)))**2 + (sqrt(102) + -1*sqrt(102))/sqrt(6) - sqrt(204)/(sqrt(1728)*-1 + sqrt(12))). sqrt(17)/11 + 2 Simplify ((3 + sqrt(405) + 3 - (-4 + (-2 + sqrt(405) - sqrt(405))))**2 + -3)*3. 648*sqrt(5) + 1638 Simplify -1*sqrt(52)/sqrt(4) + -2 + sqrt(65)/sqrt(5) + 3*sqrt(39)/(4*sqrt(3)*2). -2 + 3*sqrt(13)/8 Simplify (sqrt(38)/(sqrt(2) - sqrt(50)) + (2*sqrt(152))/sqrt(8) + 2 + (-2*sqrt(19)*-2 - sqrt(19)))**2. 19*sqrt(19) + 6923/16 Simplify sqrt(425)*4*-3 - ((sqrt(425) + 0 - sqrt(425)) + 0 + sqrt(425) + sqrt(425)). -70*sqrt(17) Simplify -2*(3 + sqrt(243)*2 + sqrt(243) + -4*sqrt(243)*-2). -198*sqrt(3) - 6 Simplify (((sqrt(616) + -2*sqrt(616))/sqrt(11) - sqrt(56))/sqrt(8) - (5 + -5*(sqrt(7) + -2))**2) + 3. -397 + 148*sqrt(7) Simplify (-1*(4 + (sqrt(144) + -1*sqrt(144))/sqrt(8) + -4))**2. 0 Simplify ((sqrt(45) + sqrt(270)/(sqrt(12)/sqrt(2)) - sqrt(45)) + -5*sqrt(180))/(sqrt(2304)*-2). 9*sqrt(5)/32 Simplify ((5*sqrt(224)/sqrt(4) - (sqrt(448) + 2*sqrt(448) + sqrt(448))/sqrt(8))/(-2*-2*sqrt(648))*4)**2. 7/81 Simplify sqrt(432) - (sqrt(432) + (sqrt(432) + (2*sqrt(432) - sqrt(432) - sqrt(432)))*-2 + sqrt(432)) - 5*-2*sqrt(432). 132*sqrt(3) Simplify 3 + ((sqrt(252) - sqrt(252)*1) + sqrt(63)/(sqrt(9)*-3) + -2)**2. 4*sqrt(7)/3 + 70/9 Simplify (-5*(sqrt(132) - -2*sqrt(132))*-1)/((3*2*sqrt(132))/sqrt(11)). 5*sqrt(11)/2 Simplify (sqrt(363) + 0)**2 + 5*(sqrt(27))**2 - (-5*sqrt(18)/sqrt(3))/sqrt(2). 5*sqrt(3) + 498 Simplify -3*((sqrt(65) - sqrt(65)*-1)/sqrt(5))**2*6 - (-2*sqrt(117)*3 + sqrt(117) - sqrt(117) - sqrt(117))/(sqrt(90)/(sqrt(10)*-2)). -936 - 14*sqrt(13) Simplify 2*(-4 + -4 + sqrt(19) - (5*sqrt(19)*-2)**2). -3816 + 2*sqrt(19) Simplify (-6*(-1 + sqrt(275) + -2 + sqrt(275))*1*5)**2*-5. -4990500 + 270000*sqrt(11) Simplify ((-3*(sqrt(88)*1 + sqrt(88))*4)/(sqrt(96)/(sqrt(768) + ((sqrt(768) - -2*sqrt(768)) + sqrt(768) + sqrt(768) + sqrt(768) - sqrt(768)))) + 5)**2. -11520*sqrt(11) + 14598169 Simplify (-2 + sqrt(343) + 4 + -5*(sqrt(343) + -3)**2)*6. -10548 + 1302*sqrt(7) Simplify ((sqrt(2448) - -3*sqrt(2448)) + -2)**2 + (sqrt(153) - ((sqrt(153) + 2 + sqrt(153))*-4 + sqrt(153))). -168*sqrt(17) + 39180 Simplify (5 + 4 + (sqrt(425) - (1*sqrt(425) + sqrt(425) + 5))*6)**2*-5. -78705 - 6300*sqrt(17) Simplify (0 + sqrt(14)/(sqrt(10)/sqrt(5)) + 2*1*sqrt(7)*4)**2*-2. -1134 Simplify 1*(2 + 1*(sqrt(98) + 0) + sqrt(98) + 0 + -2 + 3). 3 + 14*sqrt(2) Simplify ((sqrt(4) - 1*sqrt(4))*1 - (2*sqrt(24))/sqrt(6))/(1*2*sqrt(18)) + 5. -sqrt(2)/3 + 5 Simplify (sqrt(1458) + 3 + sqrt(1458) + 2 - sqrt(1458) - sqrt(1458)*2*-5)**2*-1. -176443 - 2970*sqrt(2) Simplify (3*(sqrt(117)*-2 + sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117))/(sqrt(144)*-2) + (2*sqrt(156)*2)/(4*-2*sqrt(12)). -sqrt(13)/4 Simplify -2 + -3 + sqrt(1573) + (-1 + sqrt(1573))*4 + 1. -8 + 55*sqrt(13) Simplify ((2*(sqrt(1100) + 2 + sqrt(1100)) - sqrt(1100) - sqrt(1100)) + sqrt(1100))**2 + (-6*(sqrt(11) + -1)*5)**2. -1560*sqrt(11) + 20716 Simplify (6*sqrt(20) - ((sqrt(5) - sqrt(25)/sqrt(5)) + 4))**2 - 3*(sqrt(135)*-5)/sqrt(3). -51*sqrt(5) + 736 Simplify (-1 + 2 + ((sqrt(252) + 2)*-5 - sqrt(252)))*-6. 54 + 216*sqrt(7) Simplify sqrt(204)/(sqrt(1452)*2) - (-3 + (sqrt(612)*4)**2). -9789 + sqrt(17)/22 Simplify -4*(sqrt(22)/(sqrt(22)/(sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4)) - sqrt(2)))) - (sqrt(288) + 5)). 20 + 36*sqrt(2) Simplify (5*((sqrt(475) - (sqrt(475) + -2)) + 2))**2*6. 2400 Simplify 2*3*(-3 + ((sqrt(156) - (sqrt(156) + -1*sqrt(156) + sqrt(156)))/sqrt(12)*6)**2 + -2). -30 Simplify 5 + (-4*(1*sqrt(13) - sqrt(13)) - sqrt(13))**2 + -2*sqrt(1053) + (6*sqrt(13)*1)**2. -18*sqrt(13) + 486 Simplify 1*((2 + -2*sqrt(27) + sqrt(27))*1 + 3)**2. -30*sqrt(3) + 52 Simplify ((-1*sqrt(84))/sqrt(4)*-5)/(4*-3*sqrt(363)). -5*sqrt(7)/132 Simplify 0 + -1*(-4 + sqrt(637) - sqrt(637))**2 + 1*(sqrt(637) + 5)**2. 70*sqrt(13) + 646 Simplify (-5 + sqrt(98) + (sqrt(98) - (-1 + sqrt(98) + 5)) + 3 + sqrt(98) + -1 + 1)**2. -168*sqrt(2) + 428 Simplify 2*(sqrt(117)/sqrt(3))/sqrt(3)*-1 + 2*(sqrt(52) + 3)**2 + -5. 22*sqrt(13) + 117 Simplify ((sqrt(16)/sqrt(2) - (1 + sqrt(8)/sqrt(4))) + -2 - (sqrt(8)/(sqrt(4) + sqrt(16)) - (sqrt(2) - (-1*sqrt(4))/sqrt(2))))**2. -16*sqrt(2) + 209/9 Simplify ((-2*sqrt(76) - sqrt(76))/sqrt(4)*-4)**2 - 5*(sqrt(19) + 1 + -5). -5*sqrt(19) + 2756 Simplify (1 + 5*(-4 + sqrt(180) + 2 + sqrt(180)))**2*-6. -108486 + 6480*sqrt(5) Simplify (4 + -1*sqrt(5) - sqrt(5))**2 + -1 - (sqrt(500) + -1)**2. -466 + 4*sqrt(5) Simplify (-5 + ((sqrt(605) - sqrt(605)*2)*-1 + 3*sqrt(605)*-2)*4)**2. 2200*sqrt(5) + 242025 Simplify 6*((sqrt(605) + -1 + sqrt(605))**2 + sqrt(5)) - sqrt(25)/(sqrt(30)/sqrt(6))*-3. -255*sqrt(5) + 14526 Simplify (sqrt(1152)*-3)/((sqrt(54)/sqrt(9) + sqrt(6))*-1). 12*sqrt(3) Simplify (-3*(4 + (sqrt(1584) - (sqrt(1584) + sqrt(1584)*1))))**2 - (4 + (-6*1*sqrt(1331) - sqrt(1331))). -787*sqrt(11) + 14396 Simplify (1*sqrt(2) + 1 - sqrt(2)) + (1 + sqrt(128))**2 + (sqrt(2) - ((sqrt(12)*2)/sqrt(6) - sqrt(2)) - sqrt(2))*5. 11*sqrt(2) + 130 Simplify -4 + sqrt(76)*1 + 5 - (sqrt(76) + sqrt(76)*-1 + 0)*-2. 1 + 2*sqrt(19) Simplify 2 + (-3*(sqrt(1331) + 1) + (sqrt(1331)*1 + sqrt(1331))*1)*1. -11*sqrt(11) - 1 Simplify 2 + 5*(sqrt(1573) + (-1 + sqrt(1573))**2)*-2 + -3*-2*sqrt(1573)*1. -15738 + 176*sqrt(13) Simplify ((-1 + sqrt(192) + sqrt(192))*-5 + sqrt(300) + sqrt(300) + -2 + sqrt(300) + -1)**2. -200*sqrt(3) + 7504 Simplify (-5*sqrt(30)/sqrt(3) - (sqrt(810) + (sqrt(810) - sqrt(810)*1)))/(sqrt(245)*-1*-3). -2*sqrt(2)/3 Simplify (-3*6*sqrt(637)*2*-1)**2. 825552 Simplify (sqrt(110)*-3*-5*-1)/((3*sqrt(5760) + sqrt(40))/sqrt(4)). -15*sqrt(11)/37 Simplify ((sqrt(32)/(-1*sqrt(4))*-4)/(sqrt(40)/((sqrt(70)*-2)/sqrt(7) - sqrt(10))))**2. 288 Simplify ((-5*sqrt(180)*-2 - -2*-2*sqrt(180))/(sqrt(100)/(3*(sqrt(160) - sqrt(10)))))**2. 52488 Simplify sqrt(18)/(sqrt(6)*2) + -4 + (-2*sqrt(528))/sqrt(11). -15*sqrt(3)/2 - 4 Simplify ((3*(sqrt(324) + sqrt(324)*-1))/(-3*sqrt(588) + sqrt(588)))**2. 0 Simplify (-4*sqrt(288)*-5)/(sqrt(432)/sqrt(8)). 80*sqrt(3)/3 Simplify (3*sqrt(99)*1 + 2*(0 + sqrt(275)))*-5. -95*sqrt(11) Simplify 3 + (sqrt(95)/(-1*sqrt(5)) - -1*2*sqrt(19))**2 + (
{ "pile_set_name": "DM Mathematics" }
? 17081155/2 Calculate 321636 divided by -321636. -1 What is -756 divided by 29374? -378/14687 What is -314056484 divided by 3204658? -98 What is -527266250 divided by -5? 105453250 Divide -1914420 by 12. -159535 Divide -17895 by -2176. 17895/2176 Divide -482613255 by 28389015. -17 Calculate 1234097 divided by -7. -1234097/7 Calculate 1 divided by 25821486. 1/25821486 Calculate 143066902 divided by 6503041. 22 -21210 divided by 35 -606 Calculate -110477888 divided by 4. -27619472 -104 divided by 39799 -104/39799 Calculate 869403520 divided by -1216. -714970 Divide 38522 by -346. -19261/173 Calculate 749224 divided by -774. -374612/387 Calculate -272 divided by -186554. 136/93277 What is 30712680 divided by -6? -5118780 Divide -108 by -378981. 12/42109 What is 726 divided by -147339? -242/49113 5191864 divided by 648983 8 What is -5 divided by -310065? 1/62013 What is -44 divided by 23696397? -44/23696397 What is 15971820 divided by -30? -532394 Divide -12114648 by 1638. -7396 What is 4566433 divided by 4? 4566433/4 46209814 divided by -23104907 -2 -4 divided by -1534483 4/1534483 Calculate -852251 divided by -34. 852251/34 Divide -436 by 9865. -436/9865 Divide 0 by -231724837. 0 What is 11485957 divided by -7? -1640851 Divide -7 by 21974203. -7/21974203 20999335 divided by -20999335 -1 Divide 68 by -382691. -68/382691 14930434 divided by -194 -76961 Divide 4340515 by -868103. -5 Divide 883206 by -452. -441603/226 What is -6090750 divided by -50? 121815 -176749 divided by -360 176749/360 Divide 745270 by 3. 745270/3 Divide 383 by -2812. -383/2812 258753978 divided by -14 -18482427 Calculate -661678725 divided by -5. 132335745 Calculate -2402016711 divided by -3. 800672237 What is -15712420 divided by -462130? 34 1152459 divided by -1 -1152459 What is 790808 divided by -20? -197702/5 1899457 divided by -5 -1899457/5 Divide -3 by -2853048. 1/951016 Calculate 169667910 divided by 53523. 3170 What is -1 divided by 3314954? -1/3314954 Calculate -2332264 divided by -1496. 1559 Divide -12958765 by -4187. 3095 Calculate -6486680 divided by -1621670. 4 Calculate 131135 divided by 137. 131135/137 What is 9 divided by 1005580? 9/1005580 What is 1830767 divided by -49? -1830767/49 Calculate -389641 divided by 410. -389641/410 Divide 26585 by -501. -26585/501 Calculate 515754 divided by 8. 257877/4 What is -11291 divided by 95544? -11291/95544 What is -59 divided by 860166? -59/860166 Calculate -18707 divided by -57796. 18707/57796 What is 2551634 divided by -95? -2551634/95 Calculate -1 divided by 17025143. -1/17025143 Divide -113553406 by -15517. 7318 Calculate -3182439 divided by 6. -1060813/2 Divide -1918290 by -87195. 22 Divide 9392 by -16782. -4696/8391 Divide -89489673 by 6883821. -13 1 divided by 2491379 1/2491379 Calculate 409484 divided by 267. 409484/267 70339724 divided by -1211 -58084 Calculate 59447700 divided by -14861925. -4 Divide -179 by -350635. 179/350635 What is -7312198 divided by -106? 68983 Calculate 11132580 divided by 3710860. 3 13329 divided by -65 -13329/65 Divide 3301170 by 1100390. 3 38154811 divided by -3 -38154811/3 Divide -4 by -4378621. 4/4378621 61650 divided by 104 30825/52 What is -643024 divided by -180? 160756/45 Calculate -11952 divided by -50. 5976/25 10238106 divided by 3 3412702 Calculate 120431 divided by -416. -120431/416 Divide 41095604 by 2. 20547802 Divide -43975976 by -3368. 13057 -4446 divided by 56784 -57/728 Divide 87285415 by 35. 2493869 -98 divided by -3528568 49/1764284 What is 23819 divided by 1062? 23819/1062 What is 7034940 divided by -1615? -4356 Calculate -4 divided by 50570209. -4/50570209 -1999237 divided by 40 -1999237/40 Calculate 10 divided by -2683735. -2/536747 Divide -463 by 71169. -463/71169 -4226409 divided by 31 -4226409/31 Calculate 34051104 divided by -43488. -783 Calculate 7957827 divided by -15333. -519 -9410860 divided by 170 -55358 -236188680 divided by 2236 -105630 -6087 divided by 3351 -2029/1117 Calculate -2582163 divided by 1. -2582163 Divide 14616732 by -1124364. -13 Calculate -6325644 divided by -299. 21156 Divide -2753 by 3712. -2753/3712 What is 814869 divided by 8? 814869/8 -209 divided by -61170 209/61170 Divide 5 by 2950069. 5/2950069 Calculate 7350801 divided by 4. 7350801/4 Calculate -2475 divided by 1875. -33/25 4 divided by 122246 2/61123 What is -2329357 divided by -28? 2329357/28 -266093407 divided by -4362187 61 What is 1886722 divided by -60862? -31 -1377325 divided by -925 1489 What is -255407647 divided by -2? 255407647/2 Divide 10416120 by 20. 520806 What is 597 divided by 1286822? 597/1286822 Calculate -140033 divided by -243. 140033/243 Calculate -153 divided by -7489. 153/7489 Divide -13836970 by -2. 6918485 What is -32521 divided by 34? -1913/2 What is 774750 divided by 8? 387375/4 Calculate -28391 divided by -13. 28391/13 Calculate 8235260 divided by 5. 1647052 Divide 3536 by 28091. 3536/28091 Calculate 484332282 divided by -9. -53814698 -238309932 divided by 166 -1435602 -305186454 divided by 731862 -417 -59509464 divided by -69 862456 -96386192 divided by -5704 16898 Divide -126 by 2616. -21/436 Calculate 41897608 divided by 1192. 35149 Divide -31191440 by 779786. -40 Calculate 143527459 divided by 6. 143527459/6 What is -63873030 divided by -63873030? 1 Calculate 39117897 divided by -10179. -3843 What is 62649879 divided by -3685287? -17 What is 4884953 divided by 3? 4884953/3 What is -6 divided by 4350650? -3/2175325 What is 1591 divided by -11? -1591/11 Calculate -2 divided by -37558448. 1/18779224 What is 7583779 divided by 5? 7583779/5 -2 divided by -23103408 1/11551704 Calculate 1366 divided by -23233. -1366/23233 -6838731 divided by -6 2279577/2 Divide 16409482 by 9. 16409482/9 Calculate -256429200 divided by -48. 5342275 -108410829 divided by -36136943 3 Calculate -30301536 divided by -23008. 1317 1 divided by 22145458 1/22145458 Divide -44358932 by -4. 11089733 What is 35859834 divided by 664071? 54 Calculate -20919 divided by -617. 20919/617 Divide -1 by 248686181. -1/248686181 What is 12217793 divided by 12061? 1013 Divide 5805054 by -386. -15039 4213770 divided by -127690 -33 What is -1386756 divided by -77? 198108/11 What is -4 divided by -17723557? 4/17723557 Divide 882 by -3085. -882/3085 -8560600 divided by 115 -74440 Calculate -61848594 divided by -1. 61848594 37298924 divided by 9324731 4 Divide -21685520 by -13040. 1663 Calculate 219 divided by 1811139. 73/603713 What is 1616544 divided by -24? -67356 Divide -5843213 by -5843213. 1 Divide 0 by -5566187. 0 Divide 36778250 by -3677825. -10 Calculate -48229 divided by 215. -48229/215 195558126 divided by -392687 -498 Divide -61072076 by -26. 2348926 -1141452 divided by 7046 -162 Divide 1 by -256802499. -1/256802499 What is -21036928 divided by -11? 1912448 Divide 15203 by 4924. 15203/4924 Divide -6936930 by -38115. 182 Divide -166469 by -34. 166469/34 -1934388 divided by -4 483597 -96481313 divided by -96481313 1 2 divided by 4284273 2/4284273 Calculate -11784 divided by 32047. -11784/32047 What is 17 divided by 200322? 17/200322 Calculate -7 divided by 3212192. -7/3212192 Divide -8666880 by -640. 13542 Calculate -54 divided by -1263509. 54/1263509 What is 33 divided by -3698359? -33/3698359 Calculate -60 divided by -3302832. 5/275236 -228408249 divided by 76136083 -3 Divide -92191482 by -6. 15365247 What is 25 divided by 117077? 25/117077 -11575795 divided by 11 -1052345 Calculate 42116949 divided by 3. 14038983 Calculate 1639 divided by -10605. -1639/10605 Calculate 1208728680 divided by -4. -302182170 Divide 16346121 by -12. -5448707/4 6 divided by 30013758 1/5002293 Calculate -2307132 divided by -576783. 4 What is 152932384 divided by 4779137? 32 What is -59 divided by -48911? 1/829 -10107195 divided by 1 -10107195 -4 divided by -274097215 4/274097215 What is 5555263 divided by 5? 5555263/5 -526964680 divided by 4 -131741170 Divide 2412026 by 3. 2412026/3 3676550 divided by 2 1838275 Divide 4 by -7353947. -4/7353947 Calculate 1367698680 divided by 56987445. 24 What is 4287 divided by 4287? 1 9512440 divided by -237811 -40 Calculate -711 divided by -116393. 711/116393 Calculate 60204 divided by -39. -20068/13 What is -43557030 divided by -3? 14519010 Calculate -35478375 divided b
{ "pile_set_name": "DM Mathematics" }
.08 Which is the smallest value? (a) -44017 (b) -19/5 (c) 1 a Which is the second biggest value? (a) -10 (b) 24 (c) 2/7 (d) -0.09 c Which is the fourth biggest value? (a) -3.5 (b) 0.4 (c) -15/2 (d) -3/10 c What is the third biggest value in -5/3, -2016, 4, 0? -5/3 Which is the third biggest value? (a) 3 (b) 5/4 (c) 115/7 b Which is the fourth biggest value? (a) -26/3 (b) 4 (c) 0 (d) -0.2 a Which is the third biggest value? (a) 715 (b) 0.3 (c) 2/9 (d) -5 c Which is the biggest value? (a) -20 (b) 4 (c) -0.8 (d) -11 (e) -3 b Which is the second smallest value? (a) 172 (b) -1 (c) -0.06 (d) 5 (e) 0.01 c What is the second smallest value in 0, -124, 5, -2, -19? -19 What is the second smallest value in 0.5, 43, -6/13, -3, 5, 13? -6/13 Which is the second biggest value? (a) -44 (b) 2/25 (c) 1/5 (d) -1 b Which is the fourth biggest value? (a) -895 (b) 0.3 (c) 2/9 (d) 92 a Which is the smallest value? (a) 0.11 (b) -5 (c) 0.3911 (d) -3 b What is the third biggest value in 5, 1/3630, -0.4, 2/15? 1/3630 What is the biggest value in 8, 0.075, -407, -2/5? 8 Which is the fourth smallest value? (a) 1/30 (b) 4.9 (c) 3 (d) -0.2 (e) -2/5 (f) -0.1 a What is the third biggest value in -1, -33, -74, 2/5, 0.6, 5? 2/5 What is the smallest value in -52/5, 12, 0.35? -52/5 Which is the fourth smallest value? (a) 0 (b) 25 (c) 5/4 (d) 2/3 (e) 3 (f) -0.5 c Which is the second biggest value? (a) -2/15 (b) 1199 (c) 0.5 (d) -5 (e) 4 e What is the second smallest value in -0.1, 31.8, 38.67? 31.8 What is the biggest value in 18, -1/11, 2, 525, 3, 0.2? 525 Which is the second smallest value? (a) -3 (b) -175 (c) -0.2 (d) 0.1 a Which is the second biggest value? (a) -36/85 (b) 4 (c) 35 b What is the fourth smallest value in -119093, -0.1, -2/5, 4? 4 Which is the biggest value? (a) -2 (b) -5 (c) -315 (d) 5 (e) -0.3 (f) -1/3 d What is the third biggest value in -0.5, 1.6, 0.4, 0.1, 48? 0.4 What is the biggest value in 8, 0, 25572? 25572 What is the smallest value in -5, -4, 2/9, -45/112? -5 Which is the biggest value? (a) 1.6 (b) -1/9 (c) 12 (d) 2 c What is the smallest value in 0, 5/2, -0.3, 5, 2, 447? -0.3 Which is the second biggest value? (a) -1 (b) -5 (c) 11 (d) 78 (e) -0.6 c What is the fourth smallest value in -2/81, -2/3, 21, -0.3? 21 What is the smallest value in 2/11, -0.04, 26/241? -0.04 Which is the fourth smallest value? (a) 2/7 (b) -37 (c) -3/14 (d) 1/2 (e) -6/7 a What is the second biggest value in -2, -28/9, 0.4, -5, 3? 0.4 What is the biggest value in 193/10, 5, 6? 193/10 Which is the third smallest value? (a) -736 (b) 49 (c) 5 b Which is the second biggest value? (a) -2 (b) -764 (c) -7 (d) 0.2 a What is the fifth biggest value in 1964, -1/6, -2/13, -3, 5? -3 Which is the biggest value? (a) -0.6 (b) 924 (c) -0.19 b What is the third smallest value in 5, -0.4, -1, -3/1091? -3/1091 What is the second biggest value in 5/2, 0.03, 0.101, 1/125? 0.101 Which is the fifth smallest value? (a) -1 (b) -1/8 (c) -5 (d) 24/13 (e) 1 (f) -22 e Which is the biggest value? (a) -4 (b) 3 (c) -32 (d) -64 b Which is the fourth smallest value? (a) -0.3 (b) -11 (c) 5/3 (d) -1/5 (e) 0.039 e What is the smallest value in 59, 3, -2/3, 25, 1? -2/3 Which is the smallest value? (a) -2/17 (b) -122 (c) 686 b What is the second biggest value in 0.082, 5, 1, 1/2? 1 What is the smallest value in -2.8, -9/4, -7? -7 What is the third biggest value in 6, 3/4, 3, -0.04, 4? 3 What is the fourth smallest value in -0.3, 8, -5, -1/6, -6578? -1/6 Which is the second biggest value? (a) -4/89 (b) -2/15 (c) -1 (d) 5 a Which is the biggest value? (a) 2 (b) 5/4 (c) -2 (d) -4/9 (e) 53 (f) -3/7 e What is the third biggest value in 2/31, -142, 1/3, -2? -2 What is the third smallest value in 0.01, -2, 0.2, -1/2253? 0.01 What is the second smallest value in 3/10, -4/103, -118? -4/103 Which is the fourth smallest value? (a) 6 (b) -5/71 (c) -2 (d) 2 a Which is the fourth biggest value? (a) 0.1 (b) -4 (c) 0.39 (d) 11/3 (e) 2 (f) -7 a What is the biggest value in 2.168, 2, -26? 2.168 Which is the biggest value? (a) 4 (b) -1 (c) 6410 (d) 5 c What is the third smallest value in 16.77338, 3, -0.5? 16.77338 Which is the smallest value? (a) -2 (b) -28 (c) -25 (d) 3.8 b Which is the smallest value? (a) -5 (b) 0.03 (c) 0.154 (d) 0.05 a What is the fourth biggest value in -4, -2/17, 2/13, -0.3, 12? -0.3 What is the fourth smallest value in -2, 4, -1402/7, 2? 4 Which is the second biggest value? (a) -60.3 (b) 2.1 (c) 4 b Which is the third smallest value? (a) 64/15 (b) -1 (c) 4 a What is the biggest value in -3, -254, 5, -0.3? 5 What is the biggest value in -6/7, 7/113, -1/114? 7/113 What is the second smallest value in 2/11, 4144, 3, 0, -4? 0 Which is the smallest value? (a) 0 (b) -2 (c) 7 (d) 15 (e) -8 (f) 0.2 e Which is the second biggest value? (a) 0.17 (b) -138 (c) 0.2 (d) 1/4 (e) -7/4 (f) -0.5 c Which is the smallest value? (a) 1/2 (b) 0 (c) -5 (d) -4 (e) -0.3 (f) 9/2 c What is the third smallest value in 808, -2, 0.1, -2/9, -0.04? -0.04 Which is the third smallest value? (a) -1/10 (b) 1 (c) -1/22 (d) -3.2 c What is the second biggest value in 2/21, -125/7, 3, 1/5? 1/5 What is the third biggest value in 2/31, 0, 6, -11/4, 0.5? 2/31 Which is the second smallest value? (a) -0.165 (b) 0.01 (c) -9 (d) -0.5 d Which is the third smallest value? (a) -2237 (b) -37 (c) -1 c What is the second smallest value in 220.3, -2/11, -230? -2/11 What is the fourth biggest value in 42, -4, 2/3, -0.4, -2/67? -0.4 Which is the biggest value? (a) -2/9 (b) 55373 (c) 3/2 b Which is the second biggest value? (a) -17.1 (b) 4 (c) -53 (d) -2 d Which is the smallest value? (a) -1 (b) -0.3 (c) -0.13 (d) 127 a What is the third biggest value in -17703, 0, -81? -17703 Which is the fourth smallest value? (a) -1/17 (b) -0.3 (c) 4 (d) 2 c Which is the third smallest value? (a) 1/8 (b) 80 (c) 679 c What is the smallest value in 2/65, -489, -5? -489 What is the third smallest value in -5, -3, -1.549, 1/8, -2/3? -1.549 Which is the biggest value? (a) -0.13 (b) -133 (c) -3 a Which is the fifth biggest value? (a) -0.4 (b) -3/76 (c) -17 (d) -1/5 (e) -9 (f) 3 e What is the second smallest value in 1/16989, 0.8, -2/5? 1/16989 Which is the fourth biggest value? (a) 2/17 (b) 0.3 (c) -9/8 (d) 78 (e) -1.7 c Which is the second biggest value? (a) 0.3 (b) 130 (c) -243 a Which is the fifth biggest value? (a) -4 (b) -4/3 (c) 4 (d) 0.1 (e) 0.0195 a Which is the third smallest value? (a) 35 (b) -5224 (c) 0 a Which is the smallest value? (a) 4/419 (b) -0.2 (c) 6/17 b Which is the third biggest value? (a) 31 (b) -5 (c) 27.73 b Which is the fifth biggest value? (a) -1 (b) 0.04 (c) -3 (d) 4/49 (e) 0.46 c Which is the fourth smallest value? (a) -2 (b) -42 (c) 0.2 (d) 12 d Which is the smallest value? (a) -3/343 (b) 1 (c) -2/7 (d) 0.1 (e) -0.3 e Which is the smallest value? (a) -258 (b) 0.2 (c) 1 a What is the smallest value in 2928, 4, -0.02, -1/3? -1/3 Which is the biggest value? (a) -12 (b) -0.1 (c) 169.9 (d) 10 c What is the fourth smallest value in 4, -45, -12/13, 10? 10 What is the smallest value in -2/25, -9260, -0.3? -9260 What is the fourth biggest value in 1/7, 1/3, 2/11, -1/6, -2, 1/4? 1/7 What is the biggest value in 2/3, -4, 5, -0.061, 3? 5 Which is the fourth biggest value? (a) -3 (b) -0.057 (c) -19.9 (d) -1/4 c What is the third biggest value in 5, -8/37, -6/23? -6/23 Which is the third smallest value? (a) -4 (b) 661 (c) -102 (d) 2/7 d What is the smallest value in -4, -1/4, -1, -388? -388 What is the third smallest value in 0.4, -2, 0.091157? 0.4 What is the biggest value in 0.5, -3/4, -469, 3, -4/3? 3 What is the biggest value in 23, 0.07, -1.45? 23 What is the third biggest value in 348, -2/13, 0.09, -0.05? -0.05 What is the second smallest value in 4.6, -0.4, -5/2, -25/8? -5/2 Which is the third biggest value? (a) -4 (b) -99 (c) -143/5 b What is the second smallest value in -0.1, -4, 8, -3003? -4 Which is the third smallest value? (a) -2/13 (b) 8 (c) 237 c What is the biggest value in 0.03, 8, -0.2,
{ "pile_set_name": "DM Mathematics" }
-0.4, -1.23, 4, -54, 0.3? 0.3 What is the nearest to 1 in -1/483, -5, 3, 0, 1? 1 Which is the closest to 443? (a) -1/4 (b) -4 (c) 1/7 (d) -0.3 c Which is the nearest to 2/7? (a) 3 (b) -19 (c) 5 (d) 1/12 (e) 1/4 e What is the closest to -1 in 4, 1/3, 94.1, -1? -1 Which is the nearest to 2? (a) -0.07 (b) -0.059 (c) 0.5 (d) -1/4 (e) 5 c What is the nearest to 0.1 in 1/4, -3, -0.09, 211, -35? 1/4 What is the closest to 1 in -5/3, -0.096, 104, 5? -0.096 What is the closest to -2/7 in 5, 3/4, -2, 0.7, 4448? 0.7 Which is the nearest to -0.1? (a) 17 (b) -1/8 (c) -4 b Which is the closest to 0? (a) -17 (b) 97 (c) -26 (d) 0 d Which is the closest to 1/2? (a) -1/4 (b) 1/5 (c) -13704 (d) -5 b Which is the nearest to -147? (a) 0.1 (b) 2/3 (c) -2 (d) 4 c What is the nearest to 0 in 0.7748, 0, 1, -31? 0 What is the closest to 1.9 in -0.2, -3516, 1/3? 1/3 What is the nearest to 0 in 1/6, -2/17, 5, -183/17? -2/17 What is the closest to 0.1 in -18, -11, -0.02, -1, 1.7? -0.02 Which is the nearest to 0.1? (a) 2/77 (b) 21 (c) 410 (d) 0.5 (e) -5 a Which is the nearest to 0? (a) 2/11 (b) 1 (c) 4 (d) -0.1 (e) 284 d What is the nearest to 2605 in -1/3, 2/11, -4, -0.3? 2/11 What is the nearest to 0.2 in -2/13, 1/12, -0.107, 0? 1/12 What is the nearest to -1.03 in 1/6, 513, -3/5? -3/5 Which is the nearest to -2/5? (a) -4/15 (b) 1 (c) 4 (d) -28.4 a Which is the nearest to 8/3? (a) 0 (b) 4/3 (c) -3 (d) -0.13 (e) -2 b Which is the nearest to -3? (a) -1/3 (b) 0.5 (c) -27/10 (d) -0.3 (e) 15 c Which is the nearest to 2? (a) -7/10 (b) 0.28 (c) -5 b What is the closest to 0.03 in 4, -2, -5, -6/19, -1? -6/19 What is the nearest to -0.5 in -0.4, 6.8, 0.2, 0.3, 3/5? -0.4 What is the closest to 6 in -3, -2/3, -28, 5, -3/8? 5 What is the nearest to -1/2 in -33/8, -1/9, -3, 5/3? -1/9 Which is the nearest to 0.08? (a) -2/3 (b) 0.01 (c) 2/459 (d) -2 b What is the closest to 18/5 in -2/21, 5, -0.1, -0.3, -2/41? 5 Which is the closest to 2? (a) -1/3 (b) -3/7 (c) 21/5 (d) 222 (e) 0.5 e What is the closest to 1/3 in 0, -5, -2/5, -0.01, -2/17? 0 Which is the nearest to 1/3? (a) -1/6 (b) 97 (c) -25.54 a Which is the nearest to -7/6? (a) 2 (b) -3/7 (c) -31/42 (d) -0.1 c What is the nearest to -123 in 5, -25, -3? -25 What is the nearest to 1 in -0.284, 66, -5? -0.284 What is the nearest to -11 in 1/9, -1/3, -15/26, 3/4, 1? -15/26 Which is the closest to 2/9? (a) -3/4 (b) -1/3 (c) 0 (d) 16 c What is the closest to -1330 in -3, 1, 3? -3 Which is the nearest to 0.1? (a) 1.2 (b) 0.15 (c) 16 b Which is the nearest to -2? (a) -0.2 (b) -16 (c) 0.2 (d) -23 (e) 9/8 a Which is the closest to -1? (a) -4 (b) 1954 (c) -3/7 c Which is the closest to 1? (a) -12.33 (b) -17 (c) -0.2 (d) -2 c What is the closest to -1 in -0.1, 102/73, -0.3, -9? -0.3 What is the nearest to 1 in -9, 318, -6, 1/4, 3/4? 3/4 Which is the closest to -9/7? (a) 2 (b) -2 (c) -6/11 (d) -9 (e) -1/3 b What is the closest to 1 in 4, -1/3, 112/9, 12? -1/3 Which is the nearest to 14? (a) -3 (b) 2/11 (c) 9/2 (d) -152 (e) 0.3 c Which is the closest to 1/9? (a) 1.1 (b) 1/2 (c) -0.5 (d) 0.3 (e) -0.043 e What is the closest to 0.2 in -5, 0.097, -2.7? 0.097 What is the nearest to 0 in -3/2, 6/7, -15, 25? 6/7 Which is the nearest to 3129? (a) -2/9 (b) -10 (c) -5 (d) 0.3 d Which is the nearest to -0.3? (a) 0.1 (b) 3 (c) -0.3 (d) -1 (e) -4112/7 c Which is the closest to 0.1? (a) -0.4 (b) -6/2599 (c) 0.1 c What is the closest to -20151 in 5, 1, -0.4, 3? -0.4 Which is the nearest to 121? (a) 2/305 (b) 17 (c) -2/13 b Which is the nearest to 47? (a) 1/4 (b) 1/11 (c) 0 (d) 1 (e) 3/41 d Which is the closest to 0.7? (a) 0.4 (b) -4/5 (c) -1.3 a Which is the nearest to -1? (a) -1/8 (b) 56 (c) 16 (d) 2/3 a Which is the nearest to -1? (a) 0.3 (b) -1/4 (c) 2/57 (d) 20.8 b What is the closest to 1 in 0.09, -2/69, -3? 0.09 What is the nearest to 4/17 in 11/2, 1, 68? 1 What is the nearest to 108 in 5, -0.6, 0.1? 5 Which is the closest to 2619? (a) 1/5 (b) 0.6 (c) -5 b Which is the closest to 1? (a) 1 (b) -8/45 (c) -2/59 a Which is the closest to -0.2? (a) 0.07 (b) 0.07218 (c) -0.3 (d) 0.1 c Which is the closest to 1? (a) 1/3 (b) -5 (c) -8/11 (d) 11 (e) -0.3 a Which is the nearest to -4/7? (a) 1 (b) 0.1 (c) 6.1 b What is the closest to -7/27 in -2/5, 4, -0.5, 0.5, 12/71? -2/5 Which is the nearest to 0.9? (a) 1/3017 (b) 2/3 (c) -0.4 b Which is the closest to -3? (a) 3/5 (b) -0.5 (c) -1.7 (d) 4 (e) 0.02 c What is the closest to 10/31 in 3, -2/19, -3/4? -2/19 What is the nearest to -8 in -14, -5, 1.05? -5 What is the nearest to -85449 in 0.3, 3, -2/5? -2/5 What is the nearest to 684 in 0.32, -0.2, -1/11? 0.32 Which is the closest to 0.1? (a) -181 (b) -6 (c) -0.2 (d) 3 (e) -29 c Which is the nearest to 21/2? (a) 9 (b) 22 (c) -5 (d) -3/7 a Which is the nearest to 22? (a) -1/4 (b) -80 (c) -168 a Which is the closest to 1? (a) 2/23 (b) -9 (c) 2/3 c What is the closest to -115 in 5, -0.17, -20? -20 Which is the nearest to 0? (a) 302/3 (b) 73 (c) 2 c What is the closest to 7 in 0.7, 0, -4, 10/11? 10/11 Which is the nearest to 1/3? (a) -0.6 (b) -2.26 (c) -1/11 c What is the closest to 0.3298 in -5, 2, -23? 2 What is the closest to -0.2 in -423, -7, -1/6, -0.1? -1/6 What is the nearest to -12 in -2/53, -0.1, -5, -4, -2.2? -5 Which is the nearest to -3/7? (a) -3 (b) 68 (c) -81 (d) 3 a Which is the nearest to 59.78? (a) 4/7 (b) -3/7 (c) 2/25 a What is the nearest to -0.2 in -8, 3, 77, 0.11? 0.11 What is the closest to 0 in -0.177, 2/5, 1/6, -81, 1? 1/6 Which is the nearest to -1? (a) 2/343 (b) -4/5 (c) 14 b Which is the closest to -2205? (a) 0.4 (b) 4 (c) 1 (d) 2/7 (e) -4 e What is the closest to -3 in 2, -15873, 0.01? 0.01 Which is the closest to -265745? (a) -2 (b) -0.4 (c) -1/3 a Which is the nearest to -261? (a) -2/11 (b) 0.2 (c) -2/13 (d) -0.1 (e) 1/4 a What is the nearest to 2 in 6, -2/3, 118, 7, 0? 0 What is the nearest to 0.223 in -0.13, -503, 0.4? 0.4 Which is the closest to -0.32? (a) 4 (b) 9 (c) -0.3 (d) 3 (e) 6 c What is the closest to 0 in 2/9, 3.997, 0.02? 0.02 What is the closest to 11 in -0.72, 2/9, -2/31, -3? 2/9 Which is the nearest to 0? (a) -2/3 (b) 4 (c) 2/13 (d) -5 c What is the nearest to -2.57 in 12/11, 4, -3, 5, -4? -3 What is the nearest to -1 in -4/7, -57, -4/9, 1/16? -4/7 What is the nearest to 0 in 0.01, -2.95, -1/8, -2/3? 0.01 Which is the nearest to 1? (a) 0 (b) 5/2 (c) -0.3 (d) -163/9 (e) -7/11 a What is the closest to 0 in 44.67, -2, -5? -2 What is the nearest to -2 in 0.2, 2, -0.4, 0, -0.691? -0.691 Which is the nearest to -1? (a) 4/9 (b) 4 (c) 3/5 (d) 98 a Which is the nearest to 0.1? (a) 0.4 (b) -2/9 (c) 47521 a What is the nearest to 4/17 in 6/355, -3/7, -1/42, -1/7? 6/355 What is the closest to -1 in -4, 0.4, -3/2, 13/4? -3/2 Which is the closest to -39? (a) 0 (b) -4 (c) 1 (d) -0.4 (e) 2 b What is the closest to -46/5 in -0.1, -16.86, -0.3? -16.86 Which is the nearest to 5? (a) -0.5 (b) 3/2 (c) -4/11 (d) 2/7 (e) -0.278 b What is the closest to 0 in 131, -10, -9? -9 What is the closest to 10 in -0.129, -3.3, 0.1? 0.1 What is the nearest to 7 in 3, 17, -10, 1/4? 3 What is the closest to -8/7 in -1.194, 3/5, 2? -1.194 Which is the nearest to 0.05? (a) -0.5 (b) 100 (c) 68 a Which is the nearest to -12.071? (a) -42 (b) 4/3 (c) 1 c What is the nearest to -44 in 2.8, 1, 0.5? 0.5 Which is the nearest to 10? (a) -2/9 (b) 0.5 (c) 1/4 (d) 47 b Which is the nearest to 3? (a) 430 (b) -1.2 (c) -1/11 c What is the closest to 0.0743 in 3, 730, 0.1? 0.1 What is the closest to 0 in -6, 0.4, -24, -0.75? 0.4 Which is the closest to -0.1? (a) 0.4 (b) 585 (c) 2/13 (d) -3/7 (e) 2 c What is the closest to -12 in -68, -1/3, -4, -6? -6 Which is the nearest to 0.02? (a) 180 (b) 1/13 (c) -3 b Which is the nearest to -1? (a) 1/708 (b) 0.1 (c) -4 (d) -0.04 (e) -5 d What is the closest to -383.5 in 0.3, -2/15, 0.06? -2/15 Which is the closest to 2/169? (a) 46 (b) -3 (c) -11 b What is the closest to 0 in 2/21, 44, 3? 2/21 Which is the nearest to 0? (a) -0.2 (b) 4.9 (c) 169 a What is the nearest to 0 in
{ "pile_set_name": "DM Mathematics" }
2? 1/2 Suppose 4*r + 16 = -h, 4 = -h - 2*r + r. Let k be -3 + (-6 - h)/(-3). Let n be ((-1)/(-1))/(5/2). Which is the nearest to n? (a) 3 (b) k (c) -5 b Let h = 1/144 - 37/144. Which is the closest to 1? (a) h (b) -5 (c) 2 c Suppose -d - 3*c = 16, 5 = d - 4*c - 14. Let f = -75 + 223/3. What is the closest to d in 2/13, 0.4, f? f Let p = 10 + -8. What is the nearest to p in -2, -4, 2? 2 Let l = -32.1 - -32. Let k = 0.3 + -1.3. What is the nearest to l in k, -0.4, -0.3? -0.3 Let p(s) = -s**2 + 4*s + 4. Let o be p(5). Let j be 2/(2*(-2 + 6)). Let t = 6 + -6.4. Which is the closest to j? (a) o (b) t (c) -3 b Let c = -2.04 - -0.04. Suppose 0 = -3*u + u. Suppose -g - 2 = 2*h - u*g, 0 = 5*g. What is the closest to h in c, 0.2, -3? c Let k = -78 - -394/5. What is the closest to -1 in 2/9, k, -2/9? -2/9 Let i = 0.025 + 4.975. What is the closest to 0.1 in i, 3.9, -1/4? -1/4 Let v = 144 - 1005/7. Which is the nearest to -2/3? (a) -1/6 (b) -0.5 (c) v b Let o = -0.3 + -0.7. Let a = -1.1 - o. Let b = 16.5 - 17. What is the closest to a in -3/4, 2/7, b? 2/7 Let j = -7.08 - -0.08. Let h = -10 - j. Which is the closest to 0? (a) h (b) 2/9 (c) 5 b Let m = 22/3 + -7. Let l be 4/(-2) - 1 - -1. Which is the closest to 0? (a) m (b) 3 (c) l a Let d = 3 - 2. Let p = -2 + 6. Let a = d - p. What is the nearest to -1 in 3, a, 1/2? 1/2 Let w = -23.2 - -23. Let u = -9 - -5. Which is the closest to 0? (a) w (b) -1 (c) u a Let p = -2.05 - -1.44. Let t = -0.6 - p. Let v = -0.11 + t. What is the closest to 0.1 in 0.4, v, -5? v Let q be -5 + (-292)/(-28) + -5. What is the closest to 2/5 in 0.4, -2/13, q? 0.4 Let a be 9/(-60)*(-100)/48. Let s = -1/16 + a. What is the closest to -0.1 in s, 0, 0.2? 0 Let i = -0.05 - 0.35. Let d = -0.3 - 0.7. Let h = -0.9 - d. Which is the closest to 0.2? (a) 2/5 (b) h (c) i b Let s = -7 - -11. Let j = s + -3.9. What is the nearest to 2/3 in 1/6, 3/5, j? 3/5 Let x = 0 - 0.1. Let u(q) = q**2 + q - 4. Let h be u(0). Let i = 79/3 + -26. What is the nearest to x in h, -0.3, i? -0.3 Let u = -4.07 + 4. Let p = 5.07 + u. Which is the closest to -2? (a) p (b) 1 (c) 0 c Let g be (-12 + 9)/((-2)/2). Which is the closest to -3? (a) -3/8 (b) -5 (c) g b Let r be (-14)/(-7) - (-3)/1. Let p = r - 2. What is the nearest to -2 in 1, 5, p? 1 Let f = 7 - 8. Let x(k) = -k - 2. Let d be x(-1). Which is the closest to f? (a) -1/4 (b) d (c) 0 b Let x = 27 + -26.9. Which is the closest to 0.2? (a) x (b) -2/9 (c) 4 a Let w = -2.8 + -0.2. Let g = -3.48 + -0.52. Which is the nearest to w? (a) 2/13 (b) 1 (c) g c Suppose -4*m = 4*k - 16, -k + 5*m = -4*k + 18. Which is the closest to k? (a) -0.4 (b) 5 (c) -2 a Let k = -7.6 - -3.55. Let w = -0.05 - k. Which is the nearest to 1? (a) 1 (b) -1/4 (c) w a Let j = -1 - -1. Let d = 0.5 + j. Which is the nearest to -0.1? (a) d (b) -2/11 (c) -0.1 c Let o be 0*((-1)/1)/1. Suppose 6*a + 3*n = 7*a + 5, -6 = -4*a - n. What is the closest to a in -4, o, 0.3? 0.3 Let p = 0.37 + -0.07. Let g = -71/28 + 16/7. Which is the nearest to g? (a) p (b) -2/7 (c) 3 b Let h = -22 - -5. Let z = h + 12. Suppose v = 4*s - 3*s + 3, -9 = -3*v - 2*s. Which is the closest to 1? (a) z (b) -0.2 (c) v b Let r = 20 - 21.1. Let t = -1.03 - r. Let f = t + -0.07. Which is the nearest to -1/2? (a) -0.5 (b) 3 (c) f a Let k = -0.03 + 4.03. Let j = -3 - -2.5. Which is the closest to 0? (a) 3 (b) k (c) j c Let p = -7 + 4. Let r = -4.92 - -4.5. Let m = r - -0.22. What is the closest to 2/3 in m, p, -0.4? m Let u be -1 - (2 + (6 - -2)). Let n = u - -16. Suppose 4*o = -3*v + 7*v - 20, -2*v + n*o = -22. Which is the nearest to v? (a) -1/2 (b) 2/3 (c) -3/7 b Let h = -2/7 + 20/21. What is the closest to -1/3 in 4, h, -2? h Suppose 0 = -w - 5*f - 25, 5*f + 7 = -5*w - 18. Let y be (3 + -1)/(3/1). Suppose 3*o - 15 = -6. Which is the closest to w? (a) y (b) o (c) -3/4 a Let y = 62/15 + -24/5. Which is the nearest to y? (a) -5 (b) -4 (c) 1/7 c Let h = 1.5 - 2.2. Let x = 0.6 + h. Let q = -0.14 - 0.06. What is the closest to x in -3, q, 0.2? q Let v be -1 + 2 + (-1)/4. Let u = 65 + -68. Which is the nearest to v? (a) 5 (b) 0 (c) u b Let l = -11 + 11.4. Which is the nearest to 0.1? (a) 0.2 (b) -2/3 (c) l a Let d be (12/8 + -2)*-2. Let q = -0.07 + -0.43. Which is the closest to d? (a) -0.3 (b) 2/11 (c) q b Let o(k) = -k**3 + k. Suppose f - 4 = 5*f. Let b be o(f). Let d be (-1)/(-10) - (-1)/(-2). What is the nearest to 1 in 3, d, b? b Suppose -5*u = 4*p - 13, -u - 4 = 3*p - 0*p. Let x = -0.12 + 5.12. What is the closest to 0 in p, 0.1, x? 0.1 Let j = 0.3 + -0.5. Let w = 7.4 + -2.4. Let y = 0.1 - 0. What is the nearest to y in j, -3, w? j Let v(i) = i**2 - 11*i + 13. Let t be v(10). Suppose 0*j = t*r - 4*j + 3, -2*j - 4 = 4*r. Which is the nearest to r? (a) 0.1 (b) -3 (c) -0.2 c Let v = -60 - -63. What is the nearest to -7/3 in 4/5, -2, v? -2 Let o = 131/3 - 44. What is the closest to 0.3 in -0.2, o, 0.5? 0.5 Let v = -6 + 6.3. Let g = 161 - 163.96. Let t = -0.04 + g. What is the closest to 1 in v, -2, t? v Let u = 245 + -247. Suppose 6*i - 2*i - 4 = 0. What is the nearest to i in u, 0.3, -3? 0.3 Let f = -4 - -10. Let u = 5.6 - f. Let s = -29 - -28. What is the closest to 1 in 2, u, s? 2 Let g be ((-200)/12)/(-5)*(-3)/(-2). Which is the closest to 2/7? (a) 0.2 (b) -0.1 (c) g a Let s = 28 + -16. Let d = 15 - s. Which is the closest to 0.02? (a) 0.5 (b) -2/21 (c) d b Let q be 2/9 + 92/(-90). Let t = 0.6 - 2.6. Let j = 4.1 + -4. What is the nearest to j in t, q, 1/8? 1/8 Let q = -2 + 3/2. Let n = -0.22 + 0.11. Let m = -0.51 - n. Which is the closest to 0.1? (a) q (b) -2/13 (c) m b Let y = 2 - 1. Let r = 1.2 - y. Let l = -1.2 + r. Which is the nearest to l? (a) -0.3 (b) 5 (c) -1 c Let a = 0.04 + 0.26. Suppose -5*f + 2*r + 9 = 0, -4*f + r = 5*r + 4. What is the closest to -0.1 in -2/7, a, f? -2/7 Suppose 4*v = -8 - 4. Let y be (-48)/21*v/(-12). Let u = -0.6 + 0.7. What is the closest to 2/5 in u, 3, y? u Let a(w) = -2*w - 1. Let d be a(-1). Let b = -30.1 + 30. What is the closest to b in 0.2, d, -5? 0.2 Suppose 2*p = -3*r + 10, 3*p + 1 = -2. What is the nearest to 0 in -1/3, -0.02, r? -0.02 Let q = 5.3 - 0.3. Suppose -2*c - 3*c = 0. Suppose -4 = 4*y + 3*a, c = y - 4*y - 3*a - 3. What is the closest to y in 2, 1, q? 1 Let r = -1 - -2. Suppose 5*y - 4*p = y + 24, -5*p = 5*y. Let g = r + y. Which is the closest to 0.1? (a) -0.3 (b) g (c) 0 c Let x = -10.8 + 1.8. What is the closest to -1 in x, 4, -4? -4 Let k = -0.06 - 2.94. Let r = -1809 + 19924/11. Let s = -197/77 + r. What is the nearest to s in 0.4, -2/13, k? -2/13 Let q = 10.4 - 11. What is the closest to -1 in 1, -2/19, q? q Let i = 10 - 10. What is the nearest to i in -1, -3, 3/5? 3/5 Let j = -24813439/165 - -150384. Let d = 4/33 - j. Let i = 1 + 0. What is the closest to 0 in -3/2, d, i? d Let v be (-2)/(-3) + 2/(-3). Let r = v - -1. Let f = 0.8 + 0.2. Which is the nearest to r? (a) 0 (b) f (c) -3 b Let h = 4/69 - -110/483. Let j = -1 + 2. Let v = 5 - j. What is the closest to -0.1 in v, -2, h? h Let l be (-36)/28 - 4/(-14). Let t be 3 - ((-1929)/(-7) - -1). Let r = 274 + t. What is the closest to l in r, -4/7, 3? -4/7 Let g = 0.41 - 0.31. What is the nearest to 2/3 in g, 3, 0? g Let j = -0.003 + 0.203. Which is the closest to 1? (a) -0.1 (b) j (c) 5 b Let k = -16.2 + 16. Which is the closest to k? (a) -1/13 (b) 0 (c) 2 a Let j = 23 + -23.5. Let u = -0.9 - -1. Which is the nearest to 0? (a) j (b) 2 (c) u c Let v = -15/1397 + -42782/48895. Let n = 289/490 - -1/98. Let p = v + n. What is the closest to 1 in -0.3, p, 5? p Let k = 0.04 + 0.96. Let a = -2.9 + 3. Let j = 9.5 + -10. What is the nearest to a in j, k, 0.4? 0.4 Let d be 3/30*(-4)/(-4). What is the closest to -2/7 in 4, d, 3? d Let u = 7 + -16. Let y = u + 13. Which is the closest to 0? (a) -0.5 (b) 2/17 (c) y b Let p be (1/(-2))/(7/(-4)). Suppose 8*s - 9 = 5*s. Which is the closest to p? (a) -5/4 (b) s (c) -0.1 c Let x = -49 + 52. Which is the nearest to -3/4? (a) -4 (b) -5 (c) x a Let r(v) = v**3 - 3*v + 2. Let g be r(2). Suppose 3*t - 12 = 0, -5*y + 0*y + 31 = g*t. Let c = 3.45 + -1.45. What is the closest to 1/3 in 1, c, y? 1 Let y = 11/35 - -2/105. Let b be 4
{ "pile_set_name": "DM Mathematics" }
for r. -5 Solve 8*x = 13*x + f + 17, 4*x + 22 = 2*f for x. -4 Solve -3*n - 2*r = -5 - 0, 3 = n + 2*r for n. 1 Solve 4 = -2*o + o, 0 = -4*g + 4*o + 36 for g. 5 Solve 2*y = -4*q + 24, 3*q + 2*q + y - 24 = 0 for q. 4 Solve 5*m + 4*d = 3, -1 = 3*m - 2*d + 3*d for m. -1 Solve -3*d - 5*x + 13 = -5*d, 2*d - 3*x + 11 = 0 for d. -4 Solve 2*u - m - 2 = 0, 0 = -85*u + 81*u - 5*m + 4 for u. 1 Solve 0 = 3*h - f + 121 - 133, 2*f + 3 = -h for h. 3 Solve -d + 4 = 4*t, -39*d + 20 = -34*d + 3*t for d. 4 Solve 0 = -5*q - 3*c + 17, q - 13*c + 15 = -9*c for q. 1 Solve 10*p = 5*p - 3*g + 7, -p + 5 = -3*g for p. 2 Solve d = 5*d + 3*i + 8, -i - 6 = 2*d for d. -5 Solve 0 = -n + 2*l - 12, 3*l - 20 = -l for n. -2 Solve 4*x + 5*i = 7*x + 9, -5*x - 5*i = 15 for x. -3 Solve 71 = -4*x - p + 70, -3*x + 23 = -4*p for x. 1 Solve 4*a = -2*b + 2, -12*b + 20 = -16*b for a. 3 Solve f = 4*n + 6, n - 3 = 3*f - 5*f for f. 2 Solve m + 0*q - q - 4 = 0, -m - 8 = 2*q for m. 0 Solve 4*m + 16 = 0, 37 = -5*p - 14*m + 11*m for p. -5 Solve 0 = -5*q - 5*d + 8*d + 12, 4*q + 2*d = -8 for q. 0 Solve 0 = 2*o + 3*i - i, 0 = 3*o - 4*i - 35 for o. 5 Solve 0 = 5*r + 3*c - 12, -2*r - 5*c = -2*c - 3 for r. 3 Solve -4*k = -b - 8, -14*b + 12*b - 4 = 4*k for k. 1 Solve 3*m = -q + 9, m - 7 = -3*q + 2*m for q. 3 Solve 16*a - 11*a = j, -j - 20 = 3*j for a. -1 Solve 3*r = 10*o - 9*o + 4, 3*o - 16 = -5*r for o. 2 Solve 30*g - 27*g - 3*c = 9, -2*g = -c - 4 for g. 1 Solve 0*y + 4*y = s + 4, 3*s - 5 = -5*y for y. 1 Solve 5*s - 1 = -3*c, -3*s - 4*c + 5 = -0*s for s. -1 Solve -5*i + 5*s = 25, 9 = -3*i + s - 4*s for i. -4 Solve 4*u = -5*f + 29, 0 = -2*u + 4*f + 6 - 24 for u. 1 Solve -1 = -5*x + 2*s - 3, 4*s = x + 4 for x. 0 Solve 5*s = -4*m, 9*s - 6*s + 13 = -5*m for m. -5 Solve -29 = n - x - 32, -3*n + x + 15 = 0 for n. 6 Solve 5*y + 21 = -4*v - 20, -2*v - 28 = 4*y for y. -5 Solve -14*a = -2*s - 9*a + 8, 2*s + 3*a = 8 for s. 4 Solve -3*h - 5*i = 14, 6*h = 3*h - 4*i - 10 for h. 2 Solve 2*u - 2 = u - 2*q, -q = -1 for u. 0 Solve 10*m = -2*a - 50, -13*m - 2*a = -11*m + 18 for m. -4 Solve -22*u = 2*x - 17*u - 17, -3*u + 9 = 0 for x. 1 Solve 3*s = -3*q + 15, 5*q + 0*q - 25 = -3*s for q. 5 Solve 5*a = -3*k - 18, -5*a - 347*k + 350*k = 12 for a. -3 Solve -4*v + 20 = 5*h, h - 3*v = 159 - 155 for h. 4 Solve 3*u = 2*u - 5, -2*w = u + 5 for w. 0 Solve 0 = -0*i + 4*i - 5*p - 5, 0 = -3*p + 9 for i. 5 Solve -2*f - 14 = 5*m, -21*m + 25*m + 10 = -2*f for f. 3 Solve a = 2*w + 7, -2*w + 3 - 19 = 2*a for w. -5 Solve r + 6 = -5*b - 14, -5*b = -4*r + 45 for r. 5 Solve 2*s - 19 = -15, 4*o + s = -18 for o. -5 Solve -12 = 3*p, -7*p + 17 = -3*r - 12*p for r. 1 Solve -3*f - 9 = 3*j, 0 = 2*f - 5*j + 18 - 33 for f. 0 Solve -3*j + 6*z - 2*z - 16 = 0, z + 11 = -3*j for j. -4 Solve -4*p = 4, -4*p = -3*d - 1 - 10 for d. -5 Solve 18 = 3*x + 3*v, -3*v + 4 = -2 for x. 4 Solve 0 = o - y - y + 5, 0 = 4*o - y - 8 for o. 3 Solve -11*i + u = -13*i + 13, 3*i + 13 = 5*u for i. 4 Solve -68*o + 2*v + 8 = -63*o, 4*o - v = 4 for o. 0 Solve -z + n = z - 9, -n = -4*z + 19 for z. 5 Solve -4*k - 6 = -3*d, 8*k - 6 = -3*d + 3*k for d. 2 Solve -4*s = -0 + 4, 0 = 5*q + 3*s - 7 for q. 2 Solve 0 = -2*x - 5*v - 20, v + v = -5*x - 29 for x. -5 Solve 4*r = -2*x + 7*r - 14, -r + 4 = 0 for x. -1 Solve -110*c - 2*o = -111*c - 3, -4 = -4*o for c. -1 Solve 0 = 5*g - 4*g + 3*l - 7, 2*g + 3*l = 11 for g. 4 Solve -83*h - 5*y = -80*h + 22, -2*h = y + 3 for h. 1 Solve 0 = 3*n - r - 9, -4*n - 4 = 3*r - 16 for n. 3 Solve 0 = 2*z + 2*h + 19 - 13, 5*z + 24 = 4*h for z. -4 Solve -3*j + s - 14 - 2 = 0, -23 = 5*j + 2*s for j. -5 Solve 5*n - d + 13 = 0, 3*d = 5*n + 5*d + 4 for n. -2 Solve 58 - 57 = -4*d + y, 4*d - 2*y = -2 for d. 0 Solve 3*s + 2*o = 4, 115*s + o = 116*s - 8 for s. 4 Solve 3*o - 288*v = -285*v - 6, o = -2*v - 5 for o. -3 Solve -4*l + 90*s - 12 = 89*s, -5*l + 5*s = 0 for l. -4 Solve -5*l = -5*z - 8*l + 19, -z = 2*l - 1 for z. 5 Solve 5*x + 25 = -2*s, -19 = 5*x - 4 for s. -5 Solve -5*p + 12 = u, p - 2 - 10 = -5*u for u. 2 Solve -j - 228*c = -230*c + 9, 3*c - 9 = -3*j for j. -1 Solve -2*c = -5*c + 3*s + 3, 3*s - 5 = 5*c for c. -4 Solve -3*z + w = -1, 5 = -z + 3*w - 8 for z. 2 Solve 2*w - 2*y = -2, 26 = 2*w + 4*y + y for w. 3 Solve 2*m = 3*r - 13, -160*r + 161*r - 3*m - 16 = 0 for r. 1 Solve 5*d + 3 = 2*j - 0, -j = 5*d - 9 for j. 4 Solve -t = -3*v + 42 - 55, 0 = 4*t + 8 for v. -5 Solve 2*i = -4, -4*l + 3*i = 89 - 79 for l. -4 Solve 4*h + 5*z - 19 = 0, -5*h + 9*z - 1 = 7*z for h. 1 Solve 0 = -3*j - 2*j + q - 17, 0 = 4*j - 4*q + 20 for j. -3 Solve 4*w + 3*m = -27, -2*w - 5*m = -0*m + 31 for w. -3 Solve -5*p + m = -p + 14, -6*p + 4*m - 16 = 0 for p. -4 Solve -14*l = -3*n + 40, 7*n - 4*n - 18 = 3*l for n. 4 Solve 2 = r - 2*w, 0*w + 2*w = -2*r - 2 for r. 0 Solve 0 = -u + 2*l + 2*l + 7, 4*l + 4 = 0 for u. 3 Solve 0 = -4*c - v - 3, -v = 3*c - 6*v - 15 for c. 0 Solve -3*o - 4 = -4*x, 13*x - 10*x + 26 = -5*o for o. -4 Solve -5*o = 3*h + 25, -3*o = -4*h + 22 - 7 for o. -5 Solve 3*w - 21 = 5*j + 11, 4*j + 8 = -2*w for j. -4 Solve -5*l - 12 = -3*r - 3*l, -4*r = 2*l - 16 for r. 4 Solve 24 = -x + 5*n, -3*x = -n + 8 + 8 for x. -4 Solve -4*c - 20 = 0, 0 = 3*o + c - 1 + 3 for o. 1 Solve 3*g - 4 = -5*m + 9, 0 = -g + m - 9 for g. -4 Solve 2*v - 3*c + 9 = -5, 5*v + 4*c = 11 for v. -1 Solve 265*a = 2*b + 260*a - 7, -5*b = 3*a + 29 for b. -4 Solve -p + 12 = -4*n, 4 + 6 = 3*p + n for p. 4 Solve -322*n + 3*a - 2 = -326*n, -5*a - 10 = 0 for n. 2 Solve -3*t = q + 6, q - 3 = -4*t - 12 for t. -3 Solve 7*u - 3 + 47 = z, -3*z = 2*u + 6 for z. 2 Solve 17*n = t + 20*n - 17, -16 = -4*n for t. 5 Solve h + 413 = d + 411, 44 = 4*d + 5*h for d. 6 Solve -o = 4*o + 20, 5*m = 2*o + 18 for m. 2 Solve -5*x = -5*q + 1 - 6, 4*x - 2*q = -6 for x. -4 Solve -4*o + 3*r + 24 = -o, 5*r + 15 = 0 for o. 5 Solve 4*j - 8*s + 3*s + 13 = 0, 2*s + 2 = 4*j for j. 3 Solve 2*q + 4*g = -2*q - 28, 0 = -3*g - 6 for q. -5 Solve -3 = 2*f - 2*d - 9, 4*d = -3*f - 5 for f. 1 Solve 4*i + 16 = -2*h, 8*i + 10 = 4*h - 38 for h. 2 Solve -5*c + 5 = -y - 4*y, 4*y - 2*c = 2 for y. 2 Solve -32*j - 2*o = -29*j - 16, 0 = -j - 4*o + 22 for j. 2 Solve 5*q - 6 = -3*d, 6 = -2*q + 4*d - 2 for q. 0 Solve 4*u = 2*t - 8, 1 = -2*t - 4*u - 15 for t. -2 Solve 41 = 4*d - 5*p, 12*p - 10*p + 10 = 0 for d. 4 Solve -f + 7 = -5*a, 2*f = 5*a + 5*f - 1 for a. -1 Solve 7*h - 6*h - 32 = -5*v, 0 = 3*h + 5*v - 36 for h. 2 Solve 0 = -3*h - 2*y + 7, -991*h + 5*y - 7 = -988*h for h. 1 Solve 0 = -5*u + 4*g - 25, 5*u + 9 = 2*g - 6 for u. -1 Solve -6*h - 3*b + 12 = -3*h, -4*h + 16 = -b for h. 4 Solve f - 20 = -5*w, 12 = 5*f - 2*f + 3*w for f. 0 Solve 2*b + 7 = p, -5*b = -0*p + p + 7 for p. 3 Solve 625*q - 4*r = 620*q - 21, 5*q + 23 = 2*r for q. -5 Solve 2*d - y = 4, -3*y + 14 = 2*d + y for d. 3 Solve 0 = 3*n + 5*p + 8, 8 = -3*p - 4 for n. 4 Solve -5*v + 5 = 0, 4 = -116*n + 119*n + v for n. 1 Solve -3*h = -61*r + 59*r - 1, -5*h = -4*r + 1 for h. 3 Solve -11 = 4*d + 10*p - 7*p, 3 = -d - p for d. -2 Solve -20 = -3*f - 4*q, 3*f - 41 = 3*q - 56 for f. 0 Solve 4*h - 20 = -4*q, q = 2*h - 7*h + 13 for h. 2 Solve 3*x - 6 = 2*z, 0 = -4*z - 2*x + 8 - 4 for z. 0 Solve -27 = -5*s + 4*f + 6, -s + 9 = -2*f for s. 5 Solve -4*k = n - 9, -2*n - 6*k = -k - 12 for n. 1 Solve 9 = -4*j + 3*g, -5*j - 9 = -2*g - 4*g for j. -3 Solve w - 5*n = -27, 3*w - 2*n = -13 - 3 for w. -2 Solve r + 35 = 3*r + 5*k, -4*r = 4*k - 40 for r. 5 Solve -2*d = 5*q - 10, q - 5*q - 2*d + 6 = 0 for q. 4 Solve -4*j = -35*w + 33*w - 18, j - 1 = 4*w for j. 5 Solve 0 = i - 5*n - 26, -6*n - 23 = 2*i - n for i. 1 Solve q = 2*d - 1, -5 - 12 = 5*q + 2*d for q. -3 Solve 0 = r - 3*j - 9, r + 2*j = 3*r - 2 for r. -3 Solve 0 = 5*j - 3*f - 10, 5*f = j - 4*j + 40 for j. 5 Solve -2*t - o = -7*t - 2, 5*o = 4*t + 10 for t. 0 Solve -2*k + 10 - 30 = -3*w, 8 = 2*w for k. -4 Solve 7*o - 4*o - 2*k - 12 = 0, -4*k = -o + 4 for o. 4 Solve -4*l = 3*b - 21, 0*b - b - 6 = -3*l for b. 3 Solve l - 2 - 2 = 4*n, -4*n - 5*l + 20 = 0 for n. 0 Solve -k = s - 6*s + 15, 3*k + 4*s = 31 for k. 5 Solve -5*y = -c - 25, -2*c - 22 = -6*y + 3*y for y. 4 Solve -2*a = -7*a - d - 11, -5*a - 8 = -2*d for a. -2 Solve 0 = -h - 4*q - 23, 22*q - 21*q = -7 for h. 5 Solve -4*t + 27 = -4*x - 13, 3*x - 10 = -5*t for t. 5 Solve -3*g = -3*m - 9, g = 2*g - 3*m - 3 for g. 3 Solve -l = 4*
{ "pile_set_name": "DM Mathematics" }
ose 0 = -2*z + 2 + 2. Let t(a) = a**2 + 1. Suppose 3 = -x + 2. Let o(m) = 9 - 15 + 9. Determine x*o(u) + z*t(u). 2*u**2 - 1 Let g(v) = -7*v - 12. Let y(u) = 6*u + 11. Let i = -387 + 392. Give i*y(p) + 4*g(p). 2*p + 7 Let l(p) = -p + 24. Let n(r) = -4*r + 97. What is -18*l(u) + 4*n(u)? 2*u - 44 Let c(t) = t**2 - t + 1. Let w = 753 - 754. Let j(s) = 1. Determine w*c(l) + 5*j(l). -l**2 + l + 4 Let h(v) = v. Let d(o) = 4*o**2 - 8*o + 2. What is -d(l) - 2*h(l)? -4*l**2 + 6*l - 2 Let y(v) be the third derivative of 0*v - 1/2*v**3 - 1/60*v**5 - 1/24*v**4 + 29*v**2 + 0. Let i(s) = -3*s**2 - 5*s - 13. What is -2*i(l) + 9*y(l)? -3*l**2 + l - 1 Let r(b) = -2*b**3 - b**2 + 2*b. Let n(s) = -12*s**3 - 6*s**2 + 12*s - 16. What is n(i) - 5*r(i)? -2*i**3 - i**2 + 2*i - 16 Let s(z) = -40*z**3 + 18*z**2 + 7*z. Let w(y) = -13*y**3 + 6*y**2 + 2*y. Give 2*s(m) - 7*w(m). 11*m**3 - 6*m**2 Let v(p) be the first derivative of -5/2*p**2 + 4/3*p**3 - 32 - 4*p - p**4. Let n(d) = 4*d**3 - 3*d**2 + 4*d + 3. Calculate -4*n(t) - 3*v(t). -4*t**3 - t Suppose 0 = -2*p + 5 + 65. Let r = -17 + p. Suppose 2*l + 5*i = 4*l + 20, -4*l - r = i. Let w(v) = -v**2. Let k(a) = a**2. Give l*k(u) - 6*w(u). u**2 Let g(s) = 9*s**2 + 3. Let m(x) = 20*x + 163. Let v be m(-8). Let o(a) = 8*a**2 + 2. Calculate v*o(t) - 2*g(t). 6*t**2 Let p(y) = 6 + 0 - 5 + 15*y + 0 - 9. Let q(g) = -5*g + 3. Give -3*p(c) - 8*q(c). -5*c Let i(a) = -4*a**2 + 9*a + 2. Let q(p) = 17*p**2 - 34*p - 9. Calculate -9*i(w) - 2*q(w). 2*w**2 - 13*w Let l be -6*(-4)/36*3. Let u(c) = -4*c + l*c**2 - 5*c**3 + 1 + 9*c**3 - 6*c**3 - 6*c**2. Let i(p) = 3*p**3 + 7*p**2 + 7*p - 2. What is -4*i(b) - 7*u(b)? 2*b**3 + 1 Let w(n) = 11*n**3 + 6*n**2 + 21*n - 4. Let c(v) = -31*v**3 - 17*v**2 - 64*v + 11. Calculate -4*c(m) - 11*w(m). 3*m**3 + 2*m**2 + 25*m Let p be (2 + (-1 - 0))/((-7)/(-49)). Let y(v) = -2*v**2 + v - 2. Suppose 4*f - 9 = f. Let r(k) = 4*k**2 - 3*k + 5. Calculate f*r(s) + p*y(s). -2*s**2 - 2*s + 1 Let b(i) = -82*i**3 - i**2 - 2. Let d(x) = -164*x**3 - 3*x**2 - 5. Give -5*b(g) + 2*d(g). 82*g**3 - g**2 Let v(q) = q**3 + 5*q**2 - 9*q + 6. Let n(h) = -2*h**2 + 4*h - 3. Suppose 22*k - 9 = 35. What is k*v(i) + 5*n(i)? 2*i**3 + 2*i - 3 Let f(z) = -3*z**2 - z - 6. Let g(b) = 1. Give -f(h) + g(h). 3*h**2 + h + 7 Let t(c) = 2*c**3 + 4*c**2 - 4*c - 19. Let p be -1*(1 + 1*(-8)/4). Let s(b) = -b**3 - b**2 + b + 1. Determine p*t(g) + 4*s(g). -2*g**3 - 15 Let v(h) = 88*h**2 - 2*h - 14. Let c(w) = -29*w**2 + w + 5. What is 11*c(y) + 4*v(y)? 33*y**2 + 3*y - 1 Let j(i) = -7*i**3 - 2*i**2 + 8*i + 4. Let t(w) = 29*w**3 + 9*w**2 - 34*w - 18. What is -18*j(x) - 4*t(x)? 10*x**3 - 8*x Let m(b) be the first derivative of -7*b**2/2 + 5*b - 1. Let c(s) = -8*s + 6. Suppose -3*k = -2 + 38. Let o = k + 18. What is o*m(w) - 5*c(w)? -2*w Let p(y) = -2*y**3 + 2*y**2 + 3*y - 10. Let f(k) = -5*k**3 + 6*k**2 + 10*k - 34. Determine 2*f(w) - 7*p(w). 4*w**3 - 2*w**2 - w + 2 Suppose 4*x + 5*y - 64 = 0, 8*x - 59 = 3*x - y. Let d(t) = -8*t**2 - 2. Let o(u) = -3*u**2 + 18*u + 58 - 28 - 31 - 18*u. Determine x*o(l) - 4*d(l). -l**2 - 3 Let d(m) = -77*m - 35. Let a(n) = -4*n - 2. Give 56*a(o) - 3*d(o). 7*o - 7 Let l = 6 + -9. Let g(r) = 14*r - 2*r**3 - 11*r - 4*r**2 - 25 + 24. Let h(u) = -u**3 - u**2 + u. Give l*h(q) + g(q). q**3 - q**2 - 1 Let m(o) = -1. Let f(p) = 4 - 2*p + 2*p + 7*p. Give f(l) + 6*m(l). 7*l - 2 Let x(o) = -5*o**3 + 9*o**2 - 8*o + 6. Let n(g) = 14*g**3 - 26*g**2 + 23*g - 17. What is -4*n(z) - 11*x(z)? -z**3 + 5*z**2 - 4*z + 2 Let v(h) = 2*h**2 - 7*h + 18. Let k(n) = n**2 - 3*n + 10. Calculate 11*k(q) - 6*v(q). -q**2 + 9*q + 2 Let d be (-3)/(-6)*-2 + 3. Let v be (5 - d)*12/(-9). Let h(i) = -i**3 + i. Let w(g) = -3*g**3 + 2*g**2 - g**2 + 2 - 4 + 4*g + 0*g**3. Calculate v*h(z) + w(z). z**3 + z**2 - 2 Let h(i) = 25*i**2 + 22*i - 5. Let d(w) = w**2 - 4*w + 1. What is -6*d(j) - h(j)? -31*j**2 + 2*j - 1 Let j(s) = -4*s**3 - 4*s**2 + 2*s + 27. Let q(f) = -16*f**3 - 18*f**2 + 9*f + 109. What is -9*j(a) + 2*q(a)? 4*a**3 - 25 Let a(x) = -67*x + 3. Let s(t) = t - 1. Give 2*a(m) + 4*s(m). -130*m + 2 Let v be 39 - (-1 - (-3 - -2)). Let p(a) = 16*a - v*a + 4 + 21*a. Let b(o) = 3*o. Let w(c) = 10*c + 1. Let u(g) = -7*b(g) + 2*w(g). Calculate 3*p(q) - 7*u(q). q - 2 Let f(v) = -4*v**2 - 6*v + 5. Let l(n) = -5*n**2 - 5*n + 6. Let j be ((-21)/42)/(-1 - 22/(-20)). Give j*l(x) + 6*f(x). x**2 - 11*x Suppose y + 5 = -0. Suppose 4*h + 27 = 3. Let x(i) = -i**3 - 7*i**2 - 6*i + 1. Let n be x(h). Let u(g) = -1. Let r(t) = -2*t**2 - 6. What is n*r(f) + y*u(f)? -2*f**2 - 1 Let d(j) = 1 + 3*j + 5 - 7 + 5*j**2. Suppose -4*n - 11 = 9. Let u(f) = 6*f**2 + 3*f - 1. Determine n*d(h) + 4*u(h). -h**2 - 3*h + 1 Let t(h) = -h**2 + 1. Let v(l) = 185*l**2 - 13. Calculate -52*t(o) - 4*v(o). -688*o**2 Let x(q) = 2*q**2 - 17*q + 6. Let r(m) = -2*m**2 - 6*m + 32. Let g(u) = u**2 - 10. Let l(c) = 3*g(c) + r(c). Determine -11*l(v) + 4*x(v). -3*v**2 - 2*v + 2 Let z(a) = 82*a**2 - 5*a - 19. Let j(s) = -123*s**2 + 8*s + 29. Determine 5*j(l) + 8*z(l). 41*l**2 - 7 Let x(g) be the third derivative of 0*g + 0 - 8*g**2 - 1/24*g**4 - 5/6*g**3. Let c(y) = 3*y + 12. What is -5*c(o) - 12*x(o)? -3*o Let s(w) = -w**3 + w**2 + 1. Let x(t) = 176*t**3 + 8*t**2 + 8. Calculate 8*s(c) - x(c). -184*c**3 Let k(m) = 795*m + 809*m - 1617*m - 2. Let v(x) = -14*x - 2. Calculate -5*k(c) + 4*v(c). 9*c + 2 Let c(p) = 18*p. Let m(q) = 4*q + 10. Let o(g) = 5*g + 12. Let b(a) = 6*m(a) - 5*o(a). Give 15*b(d) + c(d). 3*d Let u(g) = g**2. Let f(v) = 679*v**2 + 1. Determine f(z) + 3*u(z). 682*z**2 + 1 Let r(g) = -9*g + 11. Suppose -15 + 6 = 3*z, 0 = w + z - 8. Let v(j) be the first derivative of -5*j**2/2 + 6*j + 18. What is w*v(k) - 6*r(k)? -k Let a(k) = 20769*k**3 + 621*k**2 + 621*k + 621. Let y(q) = 134*q**3 + 4*q**2 + 4*q + 4. What is 4*a(b) - 621*y(b)? -138*b**3 Let i(x) = -8*x**3 - x**2 + 8*x + 6. Let w(j) = 7*j**3 + j**2 - 7*j - 5. Let y(s) = 23 - 11*s + 14*s - 5*s. Let c be y(14). What is c*i(q) - 6*w(q)? -2*q**3 - q**2 + 2*q Let i(b) = b**3 - b**2 + 2*b - 1. Let s(g) = -3*g**3 + 4*g**2 - 23*g + 2. Give -4*i(o) - s(o). -o**3 + 15*o + 2 Let x(j) = -226*j**3 - 5*j**2 - 5*j - 10. Let b(n) = n**3 + n**2 + n + 2. Determine -5*b(s) - x(s). 221*s**3 Let m(g) = -g. Let a(k) = 6*k - 1. Let l(t) = -9*t**2 + 13*t. Let i(y) = 3*y**2 - 4*y. Let w(f) = 7*i(f) + 2*l(f). Let b be w(-1). Determine b*m(s) + a(s). s - 1 Let m(u) = 143*u**3 + 6*u**2 - 6. Let p(y) = 35894*y**3 + 1507*y**2 - 1507. Determine 1507*m(x) - 6*p(x). 137*x**3 Let k(p) = 5*p**2 - 114*p - 5. Let u(s) = -2*s**2 + 38*s + 2. Give 3*k(c) + 8*u(c). -c**2 - 38*c + 1 Let t(u) = -4*u - 765. Let o(k) = 9*k + 1526. What is -2*o(h) - 5*t(h)? 2*h + 773 Let x(c) = -5*c**2 + 11*c + 46. Let l(b) = b**2 - 2*b - 9. Suppose -21 = 21*v + 63. Calculate v*x(p) - 22*l(p). -2*p**2 + 14 Let a = 322 - 319. Let p(q) be the second derivative of 3*q**2 + 5/6*q**a + 0 + 3*q. Let b(o) = -2*o - 2. Give 11*b(c) + 4*p(c). -2*c + 2 Let r(f) = -f**3 + 2*f**2. Let u(c) = c + 8. Let b be u(-4). Let t(z) = -3*z**3 + 7*z**2. Suppose -6*k + 8*k = 5*q + 76, -2*k = -6. Determine b*t(a) + q*r(a). 2*a**3 Suppose 9*n - 17*n + 40 = 0. Let z(b) = b + 5. Let c(d) = 3. Determine n*c(s) - 3*z(s). -3*s Let w(c) = c - 1. Let r = -191 + 197. Let j(p) = -7*p**2 - 6*p + 6. Give r*w(t) + j(t). -7*t**2 Let l(g) = 4. Let t be (2/(-6))/((-2)/(-78)). Let x(y) = 11*y + 15. Let d(c) = -5*c - 7. Let h(k) = t*d(k) - 6*x(k). Determine -2*h(z) + l(z). 2*z + 2 Let z(l) = -4*l**2 + 62. Let i(o) = -7*o**2 - o + 124. Give -3*i(u) + 5*z(u). u**2 + 3*u - 62 Let k(o) = 55*o**2 + 11*o + 23. Let g(n) = 11*n**2 + 2*n + 5. Let j(z) = -11*g(z) + 2*k(z). Let w(y) = -4*y**2 - 3. Calculate 3*j(t) - 8*w(t). -t**2 - 3 Let b(a) = a**2 - 2*a + 1. Let v(l) = 2*l + 53. Give -2*b(g) - v(g). -2*g**2 + 2*g - 55 Let l(p) = -479*p. Let a(i) = -181542*i. Determine -5*a(x) + 1896*l(x). -474*x Let i be (-2)/(-10) - (-442)/(-85). Let m(a) = a**3 + 5*a + 7. Let c(s) = -2*s**3 - 14*s - 20. What is i*c(v) - 14*m(v)? -4*v**3 + 2 Let q(h) = h**3 - 9*h**2 + 3*h - 29. Let m be q(9). Let t(b) = 15*b**2 + 2*b - 2. Let o(v) = -31*v**2 - 5*v + 5. Calculate m*o(s) - 5*t(s). -13*s**2 Let n(q) = q**3 - 9*q**2 + 3*q. Let a(o) = -7*o**3 + 9*o**2 - 5*o. Let i(p) = -2*p**3 - p. Le
{ "pile_set_name": "DM Mathematics" }
3267*v**2 + 35944*v - 44. Give c(11). 33 Let x(w) = -w**3 - 36*w**2 + 1734*w + 61561. Calculate x(-34). 293 Let g(u) = u**2 - 77038*u + 539200. Determine g(7). -17 Let p(g) = 204*g + 12970. Determine p(-49). 2974 Let n(w) = -9*w**2 - 384*w + 22796. What is n(-76)? -4 Let p(q) = 1552*q + 51139. Give p(-33). -77 Let s(b) = -7914*b + 142403. What is s(18)? -49 Let j(b) = -883*b**2 - 118315*b + 915. Calculate j(-134). -23 Let t(d) = -d**3 + 104*d**2 - 861*d - 1241. Give t(94). 6185 Let b(r) = 7*r**2 - 1889*r + 16437. Calculate b(9). 3 Let n(r) = -r**3 + 7*r**2 + 706*r + 5829. What is n(-14)? 61 Let q(m) = -21*m**2 - 317*m - 292. Determine q(-6). 854 Let d(y) = -y**2 - 8*y + 23632. What is d(150)? -68 Let b(o) = 84*o**2 - 2722*o - 4. Give b(33). 1646 Let q(z) = 2*z**3 - 310*z**2 + 324*z - 2521. Determine q(154). -57 Let w(b) = 7*b**3 - 4746*b**2 + 42150*b - 2004. What is w(669)? 3 Let o(w) = 3*w**2 - 215*w + 2580. Determine o(15). 30 Let p(w) = 3*w**3 - 5*w**2 - 23*w - 148. What is p(-4)? -328 Let u(y) = y**2 + 1074*y - 616025. Determine u(414). 7 Let m(k) = 55*k**2 - 2894*k - 1051. Calculate m(53). 62 Let f(t) = 2*t**2 + 116*t - 39746. What is f(-175)? 1204 Let v(c) = 4515*c + 686325. Calculate v(-152). 45 Let l(r) = -32*r**2 - 2297*r - 14477. What is l(-7)? 34 Let d(j) = -25*j**2 + 23573*j - 393525. Determine d(17). -9 Let p(t) = 1060*t - 16083. Calculate p(15). -183 Let v(z) = z**2 + 685*z + 117083. Give v(-358). 17 Let a(n) = -n**3 - 103*n**2 - 2145*n + 15. What is a(-29)? -14 Let t(b) = -47*b**2 + 2399*b - 120. What is t(51)? -18 Let b(v) = -351995*v + 24991649. Give b(71). 4 Let h(o) = -o**2 - 12940*o - 77659. Give h(-6). -55 Let w(z) = 1403*z - 44986. Determine w(32). -90 Let w(l) = -685*l + 16434. Calculate w(26). -1376 Let c(p) = 28*p**3 - 3*p**2 + 8*p + 19. What is c(-2)? -233 Let k(c) = c**3 - 32*c**2 + 4776*c + 14645. Give k(-3). 2 Let h(l) = -l**3 + 243*l**2 - 2098*l - 2283. Determine h(234). -411 Let x(w) = -5*w**2 + 459*w - 2898. Determine x(85). -8 Let p(v) = v**2 + 17021*v + 119092. What is p(-7)? -6 Let u(f) = -3523067*f + 21138422. Calculate u(6). 20 Let s(m) = -18851*m + 169967. Determine s(9). 308 Let y(c) = 3*c**3 - 638*c**2 + 6072*c + 85. Determine y(10). 5 Let y(k) = 664*k**2 + 5969*k + 10. Give y(-9). 73 Let q(y) = 47185*y + 70494399. Determine q(-1494). 9 Let v(a) = -20*a**3 + 1419*a**2 + 476*a - 28750. What is v(71)? 5 Let v(h) = 208*h - 41550. What is v(194)? -1198 Let j(n) = 947974*n + 2843941. Give j(-3). 19 Let s(y) = 1128947*y - 6773695. What is s(6)? -13 Let w(k) = -449*k**2 - 5*k - 2. Determine w(1). -456 Let c(m) = 4439*m - 46849. What is c(11)? 1980 Let k(v) = -5*v**3 + 241*v**2 + 345*v - 7308. What is k(49)? -7 Let a(c) = 7765*c + 326129. Calculate a(-42). -1 Let r(l) = -2*l**3 - 75*l**2 - 96*l - 290. Give r(-36). -722 Let y(f) = f**3 + 115*f**2 - 341*f - 39228. Determine y(-115). -13 Let v(h) = -1975*h + 48772. What is v(25)? -603 Let h(x) = 17*x**2 - 159*x - 37. Give h(0). -37 Let f(w) = -2016221*w - 32259535. Give f(-16). 1 Let j(p) = 2*p**3 + 192*p**2 + 190*p + 46. What is j(-95)? 46 Let z(s) = -3*s**2 + 49*s - 264. Determine z(11). -88 Let g(m) = 3136*m - 28183. Give g(9). 41 Let l(h) = -33*h + 2950. Calculate l(83). 211 Let z(p) = -1085*p + 522971. Determine z(482). 1 Let x(u) = -1973*u - 187288. Determine x(-95). 147 Let n(d) = 59*d**2 + 2424*d + 14466. Calculate n(-6). 2046 Let c(r) = -2*r**2 + 18530*r - 976468. What is c(53)? 4 Let i(o) = -85255*o + 1023080. What is i(12)? 20 Let w(c) = 9*c**3 - 692*c**2 - 87*c + 751. Determine w(77). -19 Let y(d) = -d**3 - 74*d**2 + 95*d + 1485. Calculate y(-75). -15 Let h(n) = -223*n - 5454. Give h(-29). 1013 Let a(j) = j**3 + 49*j**2 - 86*j + 631. Calculate a(-51). -185 Let h(u) = -u**2 + 40*u + 7472. Determine h(125). -3153 Let u(n) = 3332*n - 13212. Calculate u(4). 116 Let t(l) = -107*l**2 - 813*l + 152. Give t(-8). -192 Let r(q) = q**2 + 215*q + 10593. Determine r(-77). -33 Let b(n) = -62274*n - 124544. Give b(-2). 4 Let x(y) = y**3 + 711*y**2 + 529*y - 4786. What is x(-3)? -1 Let w(x) = -1677*x - 1175578. Calculate w(-701). -1 Let c(p) = p**3 - 24*p**2 - 489*p + 288. Calculate c(37). -8 Let l(v) = v**3 + 740*v**2 - 36183*v + 1211. Give l(46). -31 Let b(c) = 49*c**2 - 356*c + 821. Determine b(5). 266 Let y(i) = -14*i**2 - 93*i - 33. Determine y(-7). -68 Let r(g) = 2*g**2 + 235204*g + 1411152. What is r(-6)? 0 Let m(c) = 191278*c + 573837. What is m(-3)? 3 Let b(y) = -89*y**3 + 404*y**2 + 52*y - 198. Give b(4). 778 Let a(s) = -54*s - 3913. What is a(-30)? -2293 Let z(d) = -d**3 + 5*d**2 + 19*d - 42. Calculate z(12). -822 Let a(x) = -459*x**2 + 199661*x + 1735. Calculate a(435). -5 Let u(c) = c**3 + 40*c**2 - 909*c + 2926. Give u(4). -6 Let a(j) = 2*j**2 + 260*j + 1168. Determine a(-5). -82 Let n(p) = 2296*p - 84337. Give n(37). 615 Let z(t) = 5*t**3 - 25*t**2 - 83*t + 23. Determine z(-5). -812 Let a(z) = -21*z**2 - 983*z + 197. Determine a(-47). 9 Let s(y) = -47*y**2 - 372*y - 164. Give s(-9). -623 Let n(f) = 23297*f - 1770554. What is n(76)? 18 Let a(q) = -4396*q**2 + 17585*q + 32. What is a(4)? 36 Let m(p) = -32*p**2 + 270*p + 1090. Determine m(-4). -502 Let a(f) = -f**3 - 122*f**2 - 6292*f + 27168. Calculate a(4). -16 Let o(f) = -921*f + 3128. Give o(3). 365 Let k(w) = 2*w**3 - 35*w**2 + 46*w + 130. Calculate k(15). -305 Let l(a) = -3*a**3 + 216*a**2 + 249*a - 2089. Give l(73). 101 Let r(h) = -3*h**2 + 7228*h + 123739. What is r(-17)? -4 Let s(u) = u**3 + 4649*u**2 - 13956*u + 15. Determine s(3). 15 Let m(l) = -l**2 + 786*l - 30551. What is m(41)? -6 Let b(r) = 2*r**3 + 124*r**2 + 635*r + 29987. Determine b(-61). -1306 Let q(u) = 10847*u**2 - 86775*u - 13. Determine q(8). -5 Let n(d) = -44*d - 1850. Calculate n(-38). -178 Let d(y) = y**3 + 85*y**2 + 207*y - 3941. What is d(-82)? -743 Let x(s) = 309*s - 56057. Calculate x(188). 2035 Let i(k) = -250*k + 378. Calculate i(2). -122 Let x(s) = 517*s + 52014. What is x(-101)? -203 Let z(l) = -1021*l - 2284. Determine z(-2). -242 Let a(y) = 4*y**2 - 8018*y + 47971. Determine a(6). 7 Let c(x) = -250*x**3 + 2502*x**2 - 78*x + 558. What is c(10)? -22 Let x(c) = 66*c**2 - 87*c + 22. What is x(1)? 1 Let i(y) = -26055*y - 390951. Give i(-15). -126 Let p(w) = 1634*w + 7508. Give p(-2). 4240 Let g(o) = -3024*o**2 + 707618*o - 458. Calculate g(234). 10 Let z(t) = 6*t**3 + 525*t**2 + 7959*t + 183. Give z(-68). -21 Let t(i) = i**2 + 288*i + 43. Calculate t(0). 43 Let r(y) = -y**3 - 66*y**2 - 100*y - 6768. Calculate r(-66). -168 Let s(q) = 3284*q + 15872. Calculate s(-5). -548 Let n(k) = k**3 + 37*k**2 + 292*k - 286. Give n(-26). -442 Let y(a) = a**3 - 16*a**2 + 16*a + 445. Calculate y(9). 22 Let g(x) = -x**3 - 17*x**2 + 27703*x + 360807. Give g(-13). -8 Let r(q) = -176265*q - 1762606. Calculate r(-10). 44 Let c(u) = u**2 - 66*u - 248. Calculate c(-4). 32 Let i(b) = 7*b**3 - 70*b**2 + 303*b - 3033. What is i(10)? -3 Let s(l) = 3174*l - 31666. Determine s(10). 74 Let s(g) = 625*g - 30033. What is s(48)? -33 Let n(u) = -u**2 - 1024*u - 42195. Calculate n(-43). -12 Let m(q) = 91*q**2 - 3391*q + 19790. Determine m(30). -40 Let b(g) = g**2 - 1776*g + 12474. Give b(7). 91 Let m(x) = 3109*x - 46778. Give m(15). -143 Let r(b) = b**2 - 236*b - 35187. What is r(343)? 1514 Let u(j) = 439*j - 13220. Give u(30). -50 Let h(z) = 146*z - 525. Determine h(3). -87 Let y(l) = -2*l**2 + 1323*l + 38596. Calculate y(-28). -16 Let r(p) = -23221*p + 1021764. What is r(44)? 40 Let x(a) = -21*a**2 + 3584*a + 1107. Calculate x(171). -90 Let v(w) = 4605*w**2 - 18440*w + 54. What is v(4)? -26 Let v(w) = -6504*w + 6672. Determine v(1). 168 Let v(o) = -1392*o + 206177. Give v(148). 161 Let t(u) = 34*u**2 + 318*u + 343. Calculate t(-8). -25 Let m(i) = 7*i**3 - 5*i**2 + 6*i + 51. What is m(-6)? -1677 Let h(t) = t**3 + 52*t**2 + 73*t + 1858. Calculate h(-51). 736 Let l(y) = -4296*y - 68710. Give l(-16). 26 Let v(x) = 14815*x + 340744. What is v(-23)? -1 Let w(o) = -4*o**2 + 742*o - 14879. Determine w(23). 71 Let p(d) = 559*d - 24668. Give p(44). -72 Let q(h) = 12252*h - 1984834. Calculate q(162). -10 Let k(m) = m**2 + 194*m + 9110. What is k(-114)? -10 Let y(w) = 29*w**2 - 223*w - 1285. Give y(12). 215 Let c(n) = 393*n**2 + 1981*n + 74. Give c(-5). -6 Let f(s)
{ "pile_set_name": "DM Mathematics" }
- 3*l**2 - 6*l + 1. Suppose u = -0*u + 6. Let j(f) = f**4 - f - 1. Let r(t) = u*j(t) - x(t). Factor r(o). o**2*(o - 1)*(o + 1) Let f(w) be the second derivative of w**9/336 - w**8/112 + w**7/140 + w**3/2 + 2*w. Let d(v) be the second derivative of f(v). What is o in d(o) = 0? 0, 2/3, 1 Let i(j) be the second derivative of -j**9/7560 + j**8/3360 + j**7/1260 - j**6/360 - j**4/12 + j. Let y(r) be the third derivative of i(r). Factor y(c). -2*c*(c - 1)**2*(c + 1) Let y(j) be the second derivative of j**6/10 - 3*j**5/20 - 3*j**4/4 + j**3/2 + 3*j**2 - 3*j. Factor y(c). 3*(c - 2)*(c - 1)*(c + 1)**2 Suppose j - 2*a = 12, -3*a + 2*a = -3*j + 11. Let q(d) be the second derivative of 0 - 1/18*d**4 + 2/9*d**3 - 1/3*d**j + 3*d. Let q(g) = 0. Calculate g. 1 Let s(k) be the first derivative of 2 + 0*k**3 - 1/2*k**2 + 1/12*k**4 + 2/3*k. Factor s(y). (y - 1)**2*(y + 2)/3 Let r be -1*(-4 - (1 + -2)). Let f(y) = -2*y - 5*y - 2*y - 8 + 2 + 3*y**3. Let j(a) = -3*a**3 + 9*a + 6. Let q(h) = r*j(h) + 4*f(h). Factor q(i). 3*(i - 2)*(i + 1)**2 Let i(a) = a**3 + 9*a**2 - 12*a - 4. Let k be i(-10). Let -8*f + k*f**2 + 5*f**4 - 2*f**4 - 10*f**3 - 3*f**4 + 2*f**4 = 0. Calculate f. 0, 1, 2 Let 14*y**3 + 3*y**3 + 14*y**3 + 56*y - 44*y**2 - 21*y**3 - 16 = 0. Calculate y. 2/5, 2 Let s be 42/30 + 2/(-5). Suppose -5 = -3*x + s. Find u such that -u + 2 - 2 + u**x = 0. 0, 1 Let y be ((-155)/62)/((-5)/1). Determine a so that 1/2*a + 0 + y*a**2 = 0. -1, 0 Let m = -379/4 + 96. Let 2*s - 7/4*s**3 + 1/4*s**2 - m*s**4 + 1 - 1/4*s**5 = 0. What is s? -2, -1, 1 Suppose -7*h**3 + 1/4*h + 0 - 3/4*h**2 = 0. What is h? -1/4, 0, 1/7 Let t = 16 + -12. Let d(a) = -6*a**3 - 4*a**2 + 4. Let l(j) = -11*j**3 - 8*j**2 + 7. Let i(v) = t*l(v) - 7*d(v). Suppose i(w) = 0. Calculate w. -2, 0 Let n be ((-2)/10)/((-9)/24). Let u = 31/30 - n. Factor u*s - 1/4*s**2 + 0. -s*(s - 2)/4 Let n(w) be the second derivative of 5*w**4/12 + 5*w**3/3 - 15*w**2/2 - 51*w. Solve n(z) = 0 for z. -3, 1 Let i(m) = -m**4 + m**3 + m + 1. Let k(d) = 3*d**4 - 3*d**2 + 2*d + 2. Let s(u) = -10*i(u) + 5*k(u). Solve s(h) = 0 for h. -3/5, 0, 1 Let v(x) be the third derivative of -x**7/1050 + x**5/300 - 3*x**2. Factor v(n). -n**2*(n - 1)*(n + 1)/5 Suppose -5*u - 1 + 16 = 0. Let s(l) be the second derivative of 0 - 1/30*l**6 - 3*l - 1/20*l**5 + 0*l**4 + 0*l**2 + 0*l**u. Find q, given that s(q) = 0. -1, 0 Suppose 3*a = -a + 16. Suppose 0*r + a*r - 2*j + 2 = 0, 0 = 5*r - 5*j + 5. Factor 0 + r*y**2 - 1/2*y**3 + 0*y - 1/2*y**4. -y**3*(y + 1)/2 Solve -2*p**3 + 4/5*p**4 - 2/5 + 6/5*p**2 + 2/5*p = 0. -1/2, 1 Let 0 + 16/3*w - 2/3*w**5 + 12*w**2 + 0*w**4 + 22/3*w**3 = 0. Calculate w. -2, -1, 0, 4 Determine x so that 4/7*x**2 + 0 + 8/7*x - 60/7*x**3 - 4*x**5 + 76/7*x**4 = 0. -2/7, 0, 1 Let v(p) = p**2 - 4*p - 7. Let c be v(6). Solve 1/2*m**c - 3/2*m**3 + 0 + 0*m**4 + 0*m - m**2 = 0. -1, 0, 2 Suppose 4*o - 4 = 12. Let a(f) be the second derivative of -o*f - 3*f**3 + 0 - 2/3*f**4 - 2*f**2. Factor a(h). -2*(h + 2)*(4*h + 1) Let p(v) be the third derivative of -v**8/2184 + 2*v**7/1365 - v**6/780 - 7*v**2. Determine t so that p(t) = 0. 0, 1 Factor 2/3*p**3 + 4/3 + 2/3*p**4 - 2/3*p - 2*p**2. 2*(p - 1)**2*(p + 1)*(p + 2)/3 Let c(o) be the first derivative of 2/5*o - o**2 + 1/2*o**4 - 2/15*o**3 + 3. Factor c(b). 2*(b - 1)*(b + 1)*(5*b - 1)/5 Let n(c) = c + 1. Let w(m) = 5*m**2 + 5*m + 12. Let f(g) = 6*n(g) - w(g). Let b(y) = -11*y**2 + 2*y - 13. Let z(i) = 6*b(i) - 13*f(i). Factor z(d). -d*(d + 1) Let y(h) = h**2 - 5*h + 6. Let z be y(3). Let s(a) be the second derivative of 1/6*a**4 + 0*a**3 + z + 0*a**2 + a. Let s(v) = 0. What is v? 0 Let u be (-96)/(-168) - (-24)/(-91). Solve u*p**3 + 0 + 0*p + 2/13*p**4 + 2/13*p**2 = 0 for p. -1, 0 Let q = -169 - -679/4. Let a(g) = 2*g - 7. Let t be a(5). What is l in -q*l - 3/4*l**t - 3/2*l**2 + 0 = 0? -1, 0 Let f(t) be the third derivative of 11*t**6/180 - 3*t**5/20 - t**4/6 + t**3/3 + 4*t**2. Let r(c) be the first derivative of f(c). Factor r(b). 2*(b - 1)*(11*b + 2) Factor -2/3 + 4/3*v**2 + 0*v - 2/3*v**4 + 0*v**3. -2*(v - 1)**2*(v + 1)**2/3 Let j(z) = -z**3 - 3*z**2 - 3*z - 7. Let d(p) be the second derivative of p**5/20 + p**4/12 - p**3/6 + p**2/2 - 4*p. Let v(y) = 3*d(y) + j(y). Factor v(r). 2*(r - 2)*(r + 1)**2 Factor 15 - 37*o**2 + 32*o**2 + 13*o - 3*o. -5*(o - 3)*(o + 1) Let v(a) = 3*a**2 - 6*a + 6. Let t(l) = 1. Let j(q) = 6*t(q) - v(q). Factor j(i). -3*i*(i - 2) Suppose -5*y + 0 = -30. Suppose 7 = 5*u - i - y, -2*u - 5 = 3*i. Factor 0 + 1/3*c**4 + 4/3*c**u + 0*c - 4/3*c**3. c**2*(c - 2)**2/3 Let l = 12 - 7. Suppose d - l = -0*d. Factor -g**2 + 2*g**3 - 3*g + 4*g + d*g + 7*g**2 + 2. 2*(g + 1)**3 Let z(n) = 5*n**3 - 10*n**2 - 8*n + 13. Let l(s) = s - 1. Let t(r) = 3*l(r) + z(r). Factor t(d). 5*(d - 2)*(d - 1)*(d + 1) Let a(h) be the second derivative of h**7/280 - h**5/40 + 2*h**3/3 - h. Let i(c) be the second derivative of a(c). Suppose i(u) = 0. What is u? -1, 0, 1 Suppose c = 4*f + 11, -3*f = -6*c + 4*c + 12. Let d(j) = 3*j**2 + 5*j - 2. Let r(y) = 2*y**2 + 4*y - 1. Let a(x) = c*d(x) - 4*r(x). Factor a(n). (n - 2)*(n + 1) Let i(s) = -s**3 - 16*s**2 - 17*s - 30. Let j be i(-15). Solve -3/5*k**3 + 0*k + 3/5*k**2 + j = 0 for k. 0, 1 Let r be (3 - (-185)/(-60))*16/(-6). Find p such that 2/3*p**2 + 2/3*p**3 + 0 + r*p + 2/9*p**4 = 0. -1, 0 Factor 0 + 4*s**2 + 4*s**3 - 2*s**4 - 2 - 2*s + 2*s**5 - 4*s**5. -2*(s - 1)**2*(s + 1)**3 Let h(l) be the second derivative of l**7/42 + 2*l**6/15 + 3*l**5/10 + l**4/3 + l**3/6 - 42*l. Suppose h(d) = 0. What is d? -1, 0 Let w(d) be the first derivative of -4*d**3/3 + 8*d**2 - 16*d + 2. Factor w(b). -4*(b - 2)**2 Let r = -10 - -12. Factor -3*o**r - 18 - 9 - 18*o + 0*o**2. -3*(o + 3)**2 Let t(y) be the first derivative of 2/9*y**3 + 2/9*y + 5 + 1/18*y**4 + 1/3*y**2. Suppose t(l) = 0. Calculate l. -1 Suppose 5*t - 39 = 6. Suppose -1 = u - j, u + 0*u = -j + t. Find k such that -2*k**u + 5*k**2 - 8*k + 0 - 2 - 4*k**2 - 8*k**3 - 13*k**2 = 0. -1 Let y(b) be the first derivative of 2*b**5/45 - b**4/6 + 4*b**3/27 - 1. Let y(j) = 0. What is j? 0, 1, 2 Let g be 10*6/(-72) - (-8)/6. Let g*d + 0 + 8*d**3 + 4*d**2 = 0. Calculate d. -1/4, 0 Let x(n) = n + 1. Let p be 2/4*(17 - 5). Let a(c) = c**2 + 3*c + 2. Let m(h) = p*x(h) - 3*a(h). Solve m(l) = 0. -1, 0 Let 0*l + 0*l**2 + 0*l**3 + 1/3*l**4 + 0 - 1/3*l**5 = 0. Calculate l. 0, 1 Let m(v) be the third derivative of 0*v**3 - 1/70*v**6 + 0 + 0*v - 1/42*v**4 - 8*v**2 - 2/735*v**7 - 1/35*v**5. Factor m(f). -4*f*(f + 1)**3/7 Let f(x) = -2*x**2 - 2*x - 2. Let z(u) = -6*u**2 - 4 - u - 3 - 4*u. Let j(p) = p + 2. Let w be j(-4). Let o(s) = w*z(s) + 7*f(s). Factor o(g). -2*g*(g + 2) Let g(w) = -w**3 + 5*w**2 + 26*w - 16. Let l be g(8). Factor 4/13*f - 2/13*f**2 + l. -2*f*(f - 2)/13 Let 7/6*b - 1/3 - 1/6*b**5 - 4/3*b**2 + 1/3*b**4 + 1/3*b**3 = 0. What is b? -2, 1 Let c(l) be the first derivative of 1/7*l**2 + 3/7*l**4 - 8/35*l**5 - 8/21*l**3 + 3 + 1/21*l**6 + 0*l. Factor c(t). 2*t*(t - 1)**4/7 Suppose 0*n = -2*n + 6. Let u(a) be the second derivative of -a + 0 - 3/4*a**n - 1/2*a**2 - 1/6*a**4. Factor u(g). -(g + 2)*(4*g + 1)/2 Suppose 0 = 25*o - 23*o - 8. Factor 1/6*t**o + 0 - 1/6*t**2 + 1/3*t - 1/3*t**3. t*(t - 2)*(t - 1)*(t + 1)/6 Factor 28/17*i - 2/17*i**2 - 98/17. -2*(i - 7)**2/17 Let b(s) be the first derivative of 0*s**2 - 4 - 4/5*s**5 + 1/3*s**3 - 1/8*s**4 - 5/12*s**6 + 0*s. Factor b(j). -j**2*(j + 1)**2*(5*j - 2)/2 Let h = -246/35 - -52/7. Let d = -1902/5 + 382. Factor h*o - d*o**2 + 0. -2*o*(4*o - 1)/5 Let z = 72323/21 - 3443. Let a(u) be the first derivative of 2/7*u**5 + z*u**3 + 2/7*u - 5/7*u**4 - 5/7*u**2 + 2 - 1/21*u**6. Factor a(w). -2*(w - 1)**5/7 Let y(i) be the second derivative of 1/150*i**5 + 0 - 1/60*i**4 + 0*i**3 + 2*i + i**2. Let s(w) be the first derivative of y(w). Find r, given that s(r) = 0. 0, 1 Let s(b) be the first derivative of b**3/9 - 2*b**2/3 + b - 2. Factor s(v). (v - 3)*(v - 1)/3 Let f be (-2*(-62)/(-40))/(-2). Let c(t) be the first derivative of 1/4*t**2 + 2 + 0*t + f*t**5 - 1/12*t**3 - 7/12*t**6 - 9/8*t**4. Suppose c(r) = 0. What is r? -2/7, 0, 1/2, 1 Let n(g) be the second derivative of g**7/3 - g**6/5 - 12*g**5/35 - 2*g**4/21 + 5*g. Suppose n(q) = 0. What is q? -2/7, 0, 1 Factor 0*p + 0*p**2 + 0*p**4 + 2/3*
{ "pile_set_name": "DM Mathematics" }
4 years to millennia. 53.2044 What is 1/10 of a millennium in centuries? 1 Convert 581484.1 centimeters to micrometers. 5814841000 How many milliseconds are there in one twentieth of a second? 50 How many millilitres are there in 6.663813 litres? 6663.813 Convert 831815.7 millilitres to litres. 831.8157 How many millimeters are there in 27/4 of a meter? 6750 Convert 359045.5 centuries to years. 35904550 What is 3/10 of a day in minutes? 432 How many millilitres are there in 579.0271 litres? 579027.1 How many millimeters are there in 2075.93km? 2075930000 How many milliseconds are there in thirty-seven halves of a second? 18500 What is 1/6 of a day in minutes? 240 How many micrometers are there in 299216.9mm? 299216900 How many meters are there in 5.836693nm? 0.000000005836693 What is 101968864.2us in weeks? 0.0001685993125 Convert 31170.46um to nanometers. 31170460 How many nanograms are there in fourty-two fifths of a microgram? 8400 How many nanograms are there in thirteen eighths of a microgram? 1625 How many millilitres are there in fifty-one fifths of a litre? 10200 How many milligrams are there in fourty-nine quarters of a gram? 12250 What is thirteen quarters of a year in months? 39 Convert 16.441665 months to millennia. 0.00137013875 How many hours are there in fourty-one halves of a week? 3444 Convert 9.890066 nanometers to kilometers. 0.000000000009890066 What is 868784.6ml in litres? 868.7846 What is 0.637014 millilitres in litres? 0.000637014 Convert 277.3162nm to meters. 0.0000002773162 Convert 70.32564l to millilitres. 70325.64 What is eleven eighths of a centimeter in micrometers? 13750 What is 7.905614 litres in millilitres? 7905.614 How many years are there in 1150.322 centuries? 115032.2 How many millilitres are there in 3/10 of a litre? 300 Convert 8276.231 millennia to years. 8276231 What is 7.74675 litres in millilitres? 7746.75 How many weeks are there in 12342.94173us? 0.000000020408303125 How many nanograms are there in fifty-three quarters of a microgram? 13250 What is 578976.3 centuries in years? 57897630 What is 5/4 of a millimeter in micrometers? 1250 How many tonnes are there in 0.9846069kg? 0.0009846069 What is 599.7281l in millilitres? 599728.1 What is 7/2 of a litre in millilitres? 3500 How many grams are there in 0.8045766 nanograms? 0.0000000008045766 What is twenty-one quarters of a litre in millilitres? 5250 Convert 3.542489 decades to months. 425.09868 How many micrograms are there in nine tenths of a milligram? 900 How many milligrams are there in 3/40 of a gram? 75 What is 0.7823275 nanometers in millimeters? 0.0000007823275 What is 8/21 of a week in minutes? 3840 How many months are there in 45/4 of a year? 135 How many micrometers are there in 7/8 of a millimeter? 875 How many nanograms are there in fourty-two fifths of a microgram? 8400 Convert 192091.2 months to millennia. 16.0076 What is 0.6344028 months in millennia? 0.0000528669 How many tonnes are there in 2904.254g? 0.002904254 What is one tenth of a hour in seconds? 360 What is 44/5 of a century in months? 10560 What is 969.2839l in millilitres? 969283.9 How many days are there in 76341.861 minutes? 53.01518125 What is 0.6480403ml in litres? 0.0006480403 What is 23802.957 minutes in days? 16.52983125 What is 924772.6l in millilitres? 924772600 What is 825.1mg in nanograms? 825100000 Convert 140.8748 decades to months. 16904.976 What is 3/40 of a decade in months? 9 How many minutes are there in 17/6 of a day? 4080 What is fifteen quarters of a century in months? 4500 What is 73/5 of a century in months? 17520 What is 801.034 years in decades? 80.1034 How many minutes are there in fifty-one quarters of a day? 18360 How many hours are there in thirteen quarters of a week? 546 What is 7560.9 millilitres in litres? 7.5609 What is 27/4 of a week in hours? 1134 How many micrograms are there in twenty-seven quarters of a milligram? 6750 What is 1/5 of a microsecond in nanoseconds? 200 How many grams are there in 991.4565ug? 0.0009914565 How many seconds are there in twenty-two ninths of a hour? 8800 How many millilitres are there in 15/4 of a litre? 3750 What is nine tenths of a millennium in years? 900 How many months are there in twenty-one eighths of a decade? 315 How many kilometers are there in 8.196995 micrometers? 0.000000008196995 How many minutes are there in 11/4 of a day? 3960 Convert 46.85733mg to grams. 0.04685733 What is 82.71744l in millilitres? 82717.44 How many centimeters are there in one quarter of a kilometer? 25000 What is 71.3021 days in nanoseconds? 6160501440000000 How many millilitres are there in 11/8 of a litre? 1375 Convert 0.7928513km to meters. 792.8513 Convert 95108.62ml to litres. 95.10862 How many millimeters are there in 0.2776414nm? 0.0000002776414 Convert 70.97047 millilitres to litres. 0.07097047 Convert 47129.6133 minutes to weeks. 4.675556875 What is thirty-four fifths of a kilometer in meters? 6800 How many micrograms are there in six fifths of a milligram? 1200 Convert 4516.842 millennia to decades. 451684.2 How many months are there in thirteen fifths of a decade? 312 What is 1/4 of a millennium in months? 3000 What is 97.30559 millilitres in litres? 0.09730559 How many millilitres are there in one tenth of a litre? 100 Convert 3940.423 millennia to decades. 394042.3 What is 6/25 of a milligram in micrograms? 240 Convert 9.920271 millilitres to litres. 0.009920271 How many decades are there in 2640.388 millennia? 264038.8 How many minutes are there in 1/28 of a week? 360 Convert 1.8282819 months to centuries. 0.00152356825 Convert 11634.2um to nanometers. 11634200 How many seconds are there in 0.8583977 hours? 3090.23172 How many decades are there in 8114.873 years? 811.4873 How many months are there in thirteen quarters of a year? 39 What is 25/2 of a litre in millilitres? 12500 Convert 0.8673496 days to milliseconds. 74939005.44 How many seconds are there in 88871.4 microseconds? 0.0888714 Convert 8.563226 kilograms to grams. 8563.226 What is 113455.296s in days? 1.31314 What is 21/2 of a gram in milligrams? 10500 What is nineteen quarters of a litre in millilitres? 4750 What is 88.45761 millilitres in litres? 0.08845761 What is 3/5 of a micrometer in nanometers? 600 What is 3/40 of a week in seconds? 45360 What is 3/10 of a hour in minutes? 18 What is 327963.7 days in nanoseconds? 28336063680000000000 How many seconds are there in 476.55 weeks? 288217440 How many months are there in 3/5 of a millennium? 7200 What is six fifths of a second in milliseconds? 1200 What is one quarter of a litre in millilitres? 250 How many millilitres are there in 5/8 of a litre? 625 What is twenty-one quarters of a second in milliseconds? 5250 How many seconds are there in 14/9 of a hour? 5600 Convert 64.74599 millennia to years. 64745.99 What is 1/9 of a day in seconds? 9600 How many milliseconds are there in 9.345853 microseconds? 0.009345853 How many seconds are there in one quarter of a day? 21600 How many seconds are there in 7252.121us? 0.007252121 What is 726.9452t in grams? 726945200 Convert 566329.2ml to litres. 566.3292 How many kilograms are there in 6/5 of a tonne? 1200 How many micrometers are there in one fifth of a millimeter? 200 How many months are there in seven quarters of a year? 21 Convert 2232.55 weeks to seconds. 1350246240 What is 11/2 of a litre in millilitres? 5500 What is 1449.51 millennia in centuries? 14495.1 Convert 756221.4m to nanometers. 756221400000000 What is 7/4 of a year in months? 21 What is 29/5 of a centimeter in millimeters? 58 How many nanometers are there in 0.7450548 micrometers? 745.0548 What is 6/25 of a litre in millilitres? 240 What is 861.5269 millilitres in litres? 0.8615269 What is seven halves of a decade in years? 35 What is seven halves of a micrometer in nanometers? 3500 What is twenty-five quarters of a litre in millilitres? 6250 Convert 580122.9 years to months. 6961474.8 What is 0.6178933 millimeters in kilometers? 0.0000006178933 What is three tenths of a micrometer in nanometers? 300 What is 12/25 of a milligram in micrograms? 480 How many tonnes are there in 86878.84 nanograms? 0.00000000008687884 What is 81/2 of a day in minutes? 58320 What is 12/25 of a kilogra
{ "pile_set_name": "DM Mathematics" }
6. 648*sqrt(5) Simplify -4*(6*sqrt(175) - (2*(sqrt(343) - sqrt(7)))**2). -120*sqrt(7) + 4032 Simplify (-5 + (0 + (sqrt(17) + -1 - sqrt(17)) - sqrt(17)))*3*-3. 9*sqrt(17) + 54 Simplify -3 + sqrt(117) + -1 + sqrt(117) + 0 + sqrt(117) + (2 + sqrt(117)*-1)**2. -3*sqrt(13) + 117 Simplify ((sqrt(204) - (sqrt(204) + (1*sqrt(204)*2 - sqrt(204)))) + (sqrt(204) - sqrt(204)*-1)*-4)/(1*sqrt(768)*-3). 3*sqrt(17)/8 Simplify -4*(-3 + sqrt(1331)) + 1 + 1. -44*sqrt(11) + 14 Simplify -1 + (sqrt(66)*2*6 - (sqrt(66) + -1*sqrt(66))*5)/((sqrt(96)/(sqrt(16)/sqrt(4)))/sqrt(4)). -1 + 12*sqrt(11) Simplify (sqrt(110) + 1*sqrt(110)*-4)/sqrt(10) + sqrt(121)/(sqrt(11)*-2)*4. -5*sqrt(11) Simplify (-5*(sqrt(252)*1*6 + 1*sqrt(252)*-5) + -4)**2 + 2. 240*sqrt(7) + 6318 Simplify 2 + 6*(-1*sqrt(1539) + -3 - (-2 + sqrt(1539))*6)**2. -6804*sqrt(19) + 452954 Simplify (5 + (-2 + sqrt(2299))**2)*4 + ((1*sqrt(190) - sqrt(190))*4)/(-5*2*sqrt(10)). -176*sqrt(19) + 9232 Simplify -1 + sqrt(38)/sqrt(2) + sqrt(19) + 5 + sqrt(19) + -1 - sqrt(475)*2*3. -27*sqrt(19) + 3 Simplify (-5 + (2 + sqrt(704) + -4)**2)*-5. -3515 + 160*sqrt(11) Simplify (5*(2 + sqrt(170)/(sqrt(1000)*3 + sqrt(10))))**2. 100*sqrt(17)/31 + 96525/961 Simplify 0 + (-2*(2*sqrt(192) - sqrt(192)) + sqrt(192))**2 + 3 + (sqrt(48) + 3)**2. 24*sqrt(3) + 252 Simplify (sqrt(220)/(sqrt(11) - sqrt(396)*6))/(sqrt(10) - (sqrt(640) - sqrt(640)*2) - sqrt(90)/(sqrt(27)/sqrt(3))). -sqrt(2)/280 Simplify ((sqrt(1573) + -1)**2 - (sqrt(13) + 6*(sqrt(13) + 0))) + 3*sqrt(1053)*-4. -137*sqrt(13) + 1574 Simplify (sqrt(102) + 6*(sqrt(102) + 1*sqrt(102)))/sqrt(6) + (-5 + -6*sqrt(17)*1)**2. 73*sqrt(17) + 637 Simplify -1*(sqrt(392)*-1 + 2 + (5*sqrt(8))**2). -202 + 14*sqrt(2) Simplify -5 + (-6*(1 + sqrt(19)) - -4*sqrt(19)*-1) + -3. -10*sqrt(19) - 14 Simplify ((((2*sqrt(833) - sqrt(833)) + sqrt(833) - sqrt(833)) + -1 + -1 + sqrt(833)*-1)**2 + 4)*-2. -16 Simplify (1*sqrt(1210)*-3)/(1*sqrt(24)/(sqrt(72)/sqrt(6))). -33*sqrt(5) Simplify 5 + 3 + (-2*sqrt(100))/sqrt(2). -10*sqrt(2) + 8 Simplify (2*sqrt(108))**2 + -1 + 0 + 5. 436 Simplify ((sqrt(98) + (sqrt(98) + sqrt(98)*2)*-6)/sqrt(2))/(-5*(sqrt(14) + sqrt(224) - sqrt(14))/sqrt(2)). 17*sqrt(7)/20 Simplify ((6*sqrt(280)*2 - sqrt(280))/sqrt(5))/(6*(sqrt(8) - (sqrt(968) + -1*sqrt(968) + sqrt(968) - sqrt(968)))) + 0. 11*sqrt(7)/6 Simplify 1 + ((sqrt(343) - (sqrt(343)*1 + sqrt(343))**2)*-4 - (2 + sqrt(343)*-3)**2). 56*sqrt(7) + 2398 Simplify (sqrt(315)/(1*sqrt(9)) + sqrt(35) - sqrt(35))/(sqrt(80)*-2). -sqrt(7)/8 Simplify (sqrt(99) - (-4 + sqrt(99))**2) + 3 + (sqrt(99) + (sqrt(99) + -2)*-4)**2 + 4. -117*sqrt(11) + 847 Simplify ((sqrt(76)/sqrt(4)*-3 - sqrt(76)/sqrt(4)*4) + sqrt(209)/sqrt(176)*-4*6)**2. 3211 Simplify (2*(sqrt(56)/(sqrt(32)/sqrt(4)) + sqrt(7)) + (sqrt(7) + 0 + -5 - sqrt(7)) + -4)**2. -72*sqrt(7) + 193 Simplify (6*((sqrt(18)/(sqrt(45)/sqrt(5)) - sqrt(2)) + 2*sqrt(4)/sqrt(2)))**2. 288 Simplify -6*(2 + ((-1 + sqrt(242))*1 - (sqrt(242) + sqrt(242)*-1 + 1)))**2. -1452 Simplify (1*sqrt(648)*-2)/(1*sqrt(486)*-2 - sqrt(486)). 4*sqrt(3)/9 Simplify (sqrt(7) + -1 + sqrt(700) + -1 - (1 + (sqrt(63) - sqrt(126)/sqrt(2))/sqrt(9))) + 5. 2 + 11*sqrt(7) Simplify (-2 + 2*(0 + sqrt(242)*-1 + 0 + 0))**2. 88*sqrt(2) + 972 Simplify (3*(5*(sqrt(28)*2 - sqrt(28)) - sqrt(28)))/(-1*sqrt(4)*1*-2). 6*sqrt(7) Simplify (sqrt(54)*6 + -2*(sqrt(6) + sqrt(24)/sqrt(4)))/(sqrt(27)/(sqrt(81)*3)). 126*sqrt(2) Simplify (-3 + (-1*sqrt(1425))/sqrt(3))*-1. 3 + 5*sqrt(19) Simplify -2 + 1*sqrt(448) + (sqrt(448)*3)**2 + 0 + sqrt(448) + 2. 16*sqrt(7) + 4032 Simplify 4*(-1 + (sqrt(288) + sqrt(288) + 2 + sqrt(288))**2 + sqrt(288) + -2). 624*sqrt(2) + 10372 Simplify 4*((sqrt(198)/(sqrt(22)/sqrt(2)))**2 + 3). 84 Simplify ((6*(4*sqrt(133) - sqrt(133)))/(sqrt(77)/(sqrt(11)*-2 - sqrt(11))))**2. 55404 Simplify ((sqrt(99) - sqrt(99)*2)*1*4)/(1*sqrt(900)*-3). 2*sqrt(11)/15 Simplify 6*((sqrt(132)/(sqrt(12) - (sqrt(144) + (sqrt(144)*-2 - sqrt(144)))/sqrt(12)))**2 - (sqrt(99)*1 + 5)). -18*sqrt(11) - 68/3 Simplify -3*3*((sqrt(637) - (sqrt(637)*3 + 1))**2 - (sqrt(637) - -3*(-2*sqrt(637) - sqrt(637)))**2). -252*sqrt(13) + 343971 Simplify (sqrt(136)/((sqrt(4) - sqrt(64))*3 - sqrt(4)))/((-4*sqrt(110)/sqrt(5))/sqrt(11)). sqrt(17)/40 Simplify 3*(sqrt(1008) - ((0 + sqrt(1008) + 0)**2 - sqrt(1008)))*-1*-1 + 3. -3021 + 72*sqrt(7) Simplify (-5*2*sqrt(288) - ((sqrt(288) - (sqrt(288) - (-4 + sqrt(288)))) + 1))**2. -792*sqrt(2) + 34857 Simplify ((-1 + sqrt(128) - sqrt(128)) + 1 - (sqrt(128) - 4*sqrt(128)*1) - (-2 + 2*sqrt(128) + sqrt(128) - (4 + (sqrt(128) - sqrt(128)*-1))))**2. 192*sqrt(2) + 548 Simplify -3 + ((sqrt(833) + (sqrt(833) - sqrt(833)*1))*2 + -1)**2. -28*sqrt(17) + 3330 Simplify ((sqrt(1053) + 2 + sqrt(1053))*4 + (sqrt(1872) + 0 - (sqrt(78)/sqrt(6) + -3)))**2. 1826*sqrt(13) + 89678 Simplify (5*(-1 + sqrt(468) + sqrt(468))*-5 + 2)*1. -300*sqrt(13) + 27 Simplify 5*(2 + ((sqrt(4212) + 1 + sqrt(4212))**2 + sqrt(52))*5). 1850*sqrt(13) + 421235 Simplify -4*(0 + sqrt(175)*1 - sqrt(49)/((sqrt(70)*-2 + sqrt(70))/sqrt(10))). -24*sqrt(7) Simplify (1*sqrt(35)/sqrt(63) + -1)**2 - (-2 + (sqrt(55)/(-1*sqrt(1331)))**2). -2*sqrt(5)/3 + 3827/1089 Simplify -3 + (sqrt(304) + -6*sqrt(304)*2 - (sqrt(304) - (sqrt(304) - (2*sqrt(304) + -2))**2)) + -3. -64*sqrt(19) + 302 Simplify (4 + ((sqrt(76)/(sqrt(4) - (sqrt(4) + -4*sqrt(4)) - sqrt(4) - sqrt(4)))**2 - (sqrt(684) + -1)))*-5. -195/4 + 30*sqrt(19) Simplify ((sqrt(1100) + -3)**2 + 0 + sqrt(1100) + (sqrt(22) - 2*sqrt(198))/sqrt(2))*-5. -5545 + 275*sqrt(11) Simplify (sqrt(1088) - ((1*sqrt(1088) - sqrt(1088))**2 + 3) - ((sqrt(204)*1 + sqrt(204))*4)/sqrt(12))*3. -9 Simplify -1*(((sqrt(208) - sqrt(208)*-1) + 4)**2 - (-2 + sqrt(1300))). -850 - 54*sqrt(13) Simplify (sqrt(245) + sqrt(245)*2 + -2*sqrt(20) + -5*sqrt(80)*3)**2. 9245 Simplify -3 + -2 + 1*sqrt(7) - ((sqrt(224)*4)/sqrt(8))/sqrt(4). -3*sqrt(7) - 5 Simplify (sqrt(84)/(4*sqrt(36)/sqrt(3)) + (1*sqrt(49))/sqrt(7) + -4)*-3. -15*sqrt(7)/4 + 12 Simplify ((-2*(sqrt(180)*1 - sqrt(180) - sqrt(180)))/(sqrt(44)/(sqrt(44)/sqrt(4))))**2. 180 Simplify (-1 + 4*(-1 + sqrt(1053))*-3 + -2)**2. -1944*sqrt(13) + 151713 Simplify ((2*sqrt(364)*1)/sqrt(7) + -3 + 1)**2. -16*sqrt(13) + 212 Simplify (sqrt(99) - (sqrt(99) + -1)) + -1*sqrt(11)*2 + (6*(sqrt(396) - sqrt(11)) - ((sqrt(275) - sqrt(275)*-2) + sqrt(11))). 1 + 12*sqrt(11) Simplify (sqrt(400) - sqrt(400)*1*3)/((sqrt(80) - -5*(sqrt(80) - sqrt(80)*-1))/sqrt(10)). -10*sqrt(2)/11 Simplify (-4*(-6*(3 + -2*sqrt(448)) + -5))**2. -70656*sqrt(7) + 1040656 Simplify (4*(sqrt(28) - (-2*sqrt(112))/sqrt(4))/(sqrt(4) - 1*sqrt(100)))**2. 63 Simplify 1*sqrt(192)*-1 + -6*sqrt(27) + sqrt(33)/sqrt(275). -129*sqrt(3)/5 Simplify (-5*(2*sqrt(112) - sqrt(112)) + sqrt(112) + sqrt(112))**2 + sqrt(112) + -2*sqrt(700) + ((sqrt(7)*-2)**2 + sqrt(7))*1. -15*sqrt(7) + 1036 Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) + (sqrt(152) - (sqrt(152) - (sqrt(152) + 3*2*sqrt(152)))) + sqrt(152))))/((sqrt(32) - sqrt(32)*3) + sqrt(32)). -9*sqrt(19)/2 Simplify -3 + 1*(0 + sqrt(48) + -6*sqrt(48)*2 + sqrt(48) + (sqrt(48) - (0 + sqrt(2352) + sqrt(2352) + sqrt(48))))**2. 27645 Simplify (5*(-5*(sqrt(1008) - (sqrt(1008) + 0)) + sqrt(1008)))**2*2*4 + -3. 201597 Simplify 2*(sqrt(48) + 2) - ((sqrt(135)*2)/sqrt(5) + sqrt(27))/sqrt(9). 4 + 5*sqrt(3) Simplify sqrt(40)/(sqrt(40)/sqrt(20)) - (sqrt(2500)*-2 + sqrt(25))/sqrt(5). 21*sqrt(5) Simplify -2 + (sqrt(171) - (1 + sqrt(171) + -3 + sqrt(171))) + ((0 + sqrt(171) + 2)**2 - sqrt(171)). 6*sqrt(19) + 175 Simplify ((sqrt(1900) - sqrt(1900)*-2)*-1)**2 + 5 + sqrt(1900)*5. 50*sqrt(19) + 17105 Simplify (-4 + -1 + sqrt(2299) + 3 + (sqrt(2299) - (sqrt(2299) + 1 + 2))*-3)**2 + 2. 154*sqrt(19) + 2350 Simplify (6*-3*(sqrt(1900) + sqrt(1900)*2))**2*-4. -22161600 Simplify (sqrt(153)/sqrt(3)*-5)/(-4*2*sqrt(3)) + (((0 + sqrt(2057))*6)**2 - sqrt(2057))*-3. -222156 + 269*sqrt(17)/8 Simplify (-3*(sqrt(360) - (sqrt(360)*1 + sqrt(360))))/(-2*(-4*sqrt(15)/sqrt(3) - sqrt(5))). 9*sqrt(2)/5 Simplify (-6*sqrt(1053)*2 - (sqrt(1053)*-2*2 + sqrt(1053)))**2 + 2. 85295 Simplify ((sqrt(65) - (sqrt(65) - sqrt(65)*-3))*5 + sqrt(65) + sqrt(65))/(sqrt(10)/(sqrt(8)/sqrt(4))). -13*sqrt(13) Simplify 0 + (0 + sqrt(1053) + 4 + sqrt(1053))**2 + 0 + (sqrt(1053)*1)**2 + 2. 144*sqrt(13) + 5283 Simplif
{ "pile_set_name": "DM Mathematics" }
(l) = 4*l - 1. Determine x*p(q) + 6*m(q). -2*q - 1 Let q be 11 + -9 - (-6)/(-2). Let n(t) = 3*t + 18. Let y(z) = -1. Let u be ((-3)/(-2))/((-11)/132). What is q*n(k) + u*y(k)? -3*k Let q(x) = -x + 1. Let h(b) = b - 3. Determine 3*h(w) + 7*q(w). -4*w - 2 Let o(d) be the third derivative of d**4/24 + 2*d**2. Let q(z) = 3*z + 2. Calculate -4*o(v) + q(v). -v + 2 Suppose 2*b = -1 + 11. Let u(z) = -b*z + 2*z**2 + 3 + 5*z. Let x(h) = -3*h**2 - 5. Give -5*u(i) - 3*x(i). -i**2 Let k(a) = a**3 - a**2 + 1. Let t(b) = 24*b**3 - 2*b**2 + 2. Give -2*k(g) + t(g). 22*g**3 Let p(q) = -2*q - 1. Let d(a) = 7*a + 3. Give 3*d(k) + 8*p(k). 5*k + 1 Suppose 0 = -5*j + 3 - 33. Let f(z) = -z + 4. Let i(x) = x**3 + 6*x**2 + 5*x + 4. Let t be i(-5). Let k(u) = -2 - t + 5 + 2. What is j*k(q) + f(q)? -q - 2 Let s = 16 - 10. Let v(g) = -3 + s - g**2 - 2. Let x(b) = 12*b**2 + b - 12. Let i(c) = -c**2 - 6*c - 6. Let a be i(-8). What is a*v(w) - 2*x(w)? -2*w**2 - 2*w + 2 Let z(m) = -m. Let q(h) = -10*h - 58. What is q(u) - 12*z(u)? 2*u - 58 Let b(t) = t**2 - t. Let y(n) = -5*n**2 + 32*n + 2*n**3 - 1 + n**3 - 29*n. Calculate -3*b(k) - y(k). -3*k**3 + 2*k**2 + 1 Let p(d) = 5*d**2 - d + 2. Let r(m) be the third derivative of 3*m**2 + 0 - 3/20*m**5 + 0*m - 2/3*m**3 + 1/12*m**4. What is 11*p(z) + 6*r(z)? z**2 + z - 2 Let s(o) = -2*o**2 - 2*o + 5. Let d(l) be the second derivative of -l**4/4 - l**3/3 + 3*l**2 - 2*l. Give -4*d(k) + 5*s(k). 2*k**2 - 2*k + 1 Let x(v) = -5*v**2 + 10*v**3 + 2*v - v**3 + 5 - 2*v**3. Let r(k) = -3*k**3 + 2*k**2 - k - 2. Calculate -5*r(g) - 2*x(g). g**3 + g Let x(o) = -o**2 - 1. Let g(m) be the first derivative of m**3 - m**2/2 + m + 10. Give -g(w) - 2*x(w). -w**2 + w + 1 Let y(z) = 279*z**2 - 81*z - 81. Let s(u) = 7*u**2 - 2*u - 2. Calculate -81*s(n) + 2*y(n). -9*n**2 Let h(o) = -o. Suppose 5*v = 3*x + 18, -2*x + v + 7 = 4*v. Let w(l) = -l**3 + 4*l - 2. What is x*w(y) - 4*h(y)? y**3 + 2 Let g(x) = -3*x + 2. Let b(r) = 12*r - 9. Give 2*b(p) + 9*g(p). -3*p Let u(x) = 3*x + 4. Let y(a) = -4*a - 3. Calculate -2*u(g) - 3*y(g). 6*g + 1 Let k(s) = -5*s**2 - 3*s - 3. Let i(m) = -11*m**2 - 7*m - 7. Calculate -2*i(w) + 5*k(w). -3*w**2 - w - 1 Let s(y) = 3*y**2 - 4*y - 2. Suppose 10 = -2*w - 0. Let b(f) = -f**2 - 4*f + 6. Let u be b(w). Let p(x) = -x**2 + x. Let l = 18 + -14. What is l*p(z) + u*s(z)? -z**2 - 2 Let u(b) = -b - 1. Let r(v) = -2*v + 5. Let x(o) be the third derivative of o**4/24 - o**3/2 - 3*o**2. Let y(k) = 4*r(k) + 7*x(k). What is 6*u(d) - 4*y(d)? -2*d - 2 Let q(m) = -m - 5. Let g(v) = 5*v + 25. What is -2*g(r) - 11*q(r)? r + 5 Let i be 16/(20/5 + -3). Let j(l) = 7*l + 5. Let p(v) = 20*v + 17. Let o(q) = -q - 1. Let d(z) = -18*o(z) - 2*p(z). Determine i*j(r) + 5*d(r). 2*r Let g(y) = -7*y**3 - 6*y + 6. Let j(m) = 20*m**3 + 17*m - 17. Let r(i) = i**2 - 17*i + 19. Let l be r(16). Suppose -21 = -3*d - l. Calculate d*j(s) + 17*g(s). s**3 Let i(d) = -2*d**2 + 7*d + 2. Let c(q) = 2*q**2 - 6*q - 3. Give 5*c(a) + 4*i(a). 2*a**2 - 2*a - 7 Let c(u) = -3*u + 15*u**2 + 6*u + 8*u. Let a(p) be the second derivative of 0*p**2 + 0 + 7/12*p**4 - 3*p + 5/6*p**3. Give 13*a(t) - 6*c(t). t**2 - t Let l(q) = -5*q - 79. Let r(b) = 4*b + 78. What is -5*l(n) - 6*r(n)? n - 73 Let f(x) = -3*x**2 + 1. Let j(u) = 14*u**2 - 5. What is -11*f(v) - 2*j(v)? 5*v**2 - 1 Let v(b) = 3*b**2 + 8*b + 7. Let w(z) = -2*z**2 - 4*z - 4. Give 3*v(k) + 5*w(k). -k**2 + 4*k + 1 Let v(d) = 78*d. Let j(s) = 3275*s. Calculate 3*j(q) - 125*v(q). 75*q Let d(x) = -4*x**3 - 6*x**2 + 6*x. Let a(p) = -p**3 - p**2 + p. What is -24*a(u) + 4*d(u)? 8*u**3 Let f(k) = -k + 1. Let r(s) = 22*s**2 - 3*s + 3. Determine 3*f(p) - r(p). -22*p**2 Let r(d) = 5*d + 1. Let t(q) = 14*q + 3. What is -17*r(o) + 6*t(o)? -o + 1 Let v(l) = 7*l**2 - 5*l. Let y(k) = -7*k**2 + 5*k. Let r(a) = 3*v(a) + 4*y(a). Let x(d) = 8*d**2 - 6*d. Determine -5*r(f) - 4*x(f). 3*f**2 - f Suppose 4 = 5*n - 21. Let k(t) = -t + 5. Let d(w) = -w + 9. Give n*k(j) - 3*d(j). -2*j - 2 Let z = -3 + 4. Let x(g) be the third derivative of -g**6/120 + g**5/15 - g**4/6 - g**3/3 - 4*g**2 - 22*g. Let b(q) = -q**2 + q + 1. Give z*x(l) + 4*b(l). -l**3 + 2 Let d(r) = -3*r**2 + 2*r + 2. Let q(u) = 6 + 14*u - 8*u**2 - 13*u + 5*u. Determine -11*d(o) + 4*q(o). o**2 + 2*o + 2 Let x(l) = 2 - 4 + 3. Let v(u) = 2*u - 4. Let i = -6 + 8. Suppose 3*y + i*w + 3 = 17, 3*y - 11 = w. Determine y*x(k) + v(k). 2*k Let f(j) = -67*j**2 - 5*j + 4. Let a(s) = -134*s**2 - 11*s + 9. Give 4*a(x) - 9*f(x). 67*x**2 + x Let c(q) = 2*q**2 - 3*q. Let n = -10 + -16. Let u(t) = 9*t**2 - 13*t. Calculate n*c(x) + 6*u(x). 2*x**2 Let t(i) be the third derivative of -i**5/60 + i**4/8 - 7*i**2. Let x(f) = -f**2 + 4*f. What is 6*t(p) - 4*x(p)? -2*p**2 + 2*p Let m = 14 - 7. Let f(g) = 3*g. Let k(w) = 15*w - 6*w - 7*w. Give m*k(y) - 5*f(y). -y Let p(w) = w**2 - 7*w - 5. Let a(z) = -2*z**2 + 15*z + 11. Let u(o) = 6*a(o) + 13*p(o). Let m(s) = s**3 - s**2 - 10 - 4 + s + 12. Determine -m(b) - u(b). -b**3 + 1 Let o(x) = x. Let k(a) = -a. What is -k(r) - 6*o(r)? -5*r Let a(w) = -170 + 170 - w. Let i(q) = -5*q. Calculate -3*a(v) + i(v). -2*v Let x(r) = -r. Let m(w) = 2*w**3 - 2*w**2 - 6*w. Calculate -m(g) + 8*x(g). -2*g**3 + 2*g**2 - 2*g Let j(h) = -4*h + 4. Let p(d) = -d + 1. Determine j(c) - 6*p(c). 2*c - 2 Let g(s) be the first derivative of 3*s**2/2 + 3*s - 2. Let f(d) = -13*d - 13. Give 4*f(k) + 18*g(k). 2*k + 2 Let x(v) be the first derivative of -v**2 + 9*v + 3. Suppose 0 = -4*t + 4*c - 4, -5*c - 34 = 4*t + 6. Let n(u) = -u + 4. Calculate t*n(p) + 2*x(p). p - 2 Let f(n) = n - 1. Let i(x) = -4*x + 1. What is -5*f(p) - i(p)? -p + 4 Let o be 3/2*4/6. Let i(p) = -p**3 - 2*p**2 - 1. Let u(y) be the second derivative of 0*y**3 - 1/2*y**2 + 0*y**4 - 1/20*y**5 + 0 + 2*y. What is o*u(h) + i(h)? -2*h**3 - 2*h**2 - 2 Let a(l) = 3*l**3 + 11*l**2 + 1. Let s(m) = 4*m**3 + 12*m**2 + 1. What is 6*a(o) - 5*s(o)? -2*o**3 + 6*o**2 + 1 Let g(w) = -4*w**3 + w**2 - 2. Let v(s) = 5*s**3 - s**2 - s + 3. Let h = 8 - 5. Suppose -a + h*a = 10. Let k = 8 - a. What is k*g(o) + 2*v(o)? -2*o**3 + o**2 - 2*o Let z(d) = -26*d**2 + 17*d - 17. Let r be (17/4)/(8/(-32)). Let n(b) = 9*b**2 - 6*b + 6. Determine r*n(i) - 6*z(i). 3*i**2 Let j(n) = -4*n**3 - 2*n**2 + n - 1. Let w(f) = -20*f**3 - 9*f**2 + 5*f - 5. What is -11*j(o) + 2*w(o)? 4*o**3 + 4*o**2 - o + 1 Let h = -7 + 9. Let v(g) = -10*g**h + 2*g**2 - g**2 - 5. Let o(c) = 3 - c + c + 5*c**2. Determine -5*o(q) - 3*v(q). 2*q**2 Let b(s) = -9*s**2 - 13*s + 2. Let h(g) = -4*g**2 - 6*g + 1. Give 6*b(a) - 13*h(a). -2*a**2 - 1 Let g(m) = 3*m - 3. Let n be 2/8 - 13/4. Let o(i) = i**2 - 2*i + 2. Let c be (6/18)/((-3)/18). Give c*g(a) + n*o(a). -3*a**2 Let p(n) = 8*n**3 + 6*n - 5. Let s(i) = -i**3 - i + 1. What is -p(o) - 4*s(o)? -4*o**3 - 2*o + 1 Let p(r) = 15*r**3 - 11*r**2 + 6*r + 11. Let i(h) = 5*h**3 - 4*h**2 + 2*h + 4. Calculate 11*i(z) - 4*p(z). -5*z**3 - 2*z Let b(h) = -10 - 7 + 27 - 11. Let t(z) = 3*z - 12. What is 12*b(l) - t(l)? -3*l Let l(n) = -2*n**3 + 10*n**2. Suppose 3*y - 7 = -37. Let q(c) be the third derivative of c**5/60 - 3*c**2. What is y*q(k) + l(k)? -2*k**3 Let v(m) = -m**2 + 8*m - 1. Let n(b) = -b**2 + 8*b - 1. Determine -2*n(i) + 3*v(i). -i**2 + 8*i - 1 Let r(i) = -i**3 - i**2 + i + 1. Let k(x) = 4*x**3 + 5*x**2 - 5*x - 31. What is k(v) + 5*r(v)? -v**3 - 26 Let i(w) = 4*w**2 + 4*w - 1. Let s(u) = 23*u**2 + 23*u - 5. Give 34*i(f) - 6*s(f). -2*f**2 - 2*f - 4 Let z(v) = -6*v + 1. Let n(f) = f - 1. Determine 3*n(w) + z(w). -3*w - 2 Let v(k) = -5*k - 3*k + 5 + 3. Let y(a) = -5*a + 5. Let q(l) = l - 1. Let p(w) = -22*q(w) - 4*y(w). Determine 9*p(u) - 2*v(u). -2*u + 2 Let g = -82 - -88. Let f(x) = 8*x**2 - x - 5. Let m(h) = -17*h**2 + 2*h + 11. Determine g*m(u) + 13*f(u). 2*u**2 - u + 1 Let n(b) = -b**2 - b. Let y(j) be the second derivative of -5*j**4/12 - 2*j**3/3 - j**2 - j. Suppose 5 = 5*t, -4*t = 2*o + 9 - 11. Determine o*y(u) + 4*n(u). u**2 + 2 Let k(a) = a**2 + 2*a + 3. Let x be -2 - 3/(-2 - 1). Suppose -2*c - 6 = -5*c. Let l(j) = 1 + c - j**2 - 4. What is x*k(b) - 2*l(b)? b**2 - 2*b - 1 Let h(p) be the third derivative of -p**5/20 + p**4/12 - 7*p**3/3 + 25*p**2. Let w(i) = 2*i - i - 2*i + 2*i**2 + 9. Give -5*h(k) - 8*w(k). -k**2 - 2*k - 2 Let z(o) = -2*o - 3. Let k(a)
{ "pile_set_name": "DM Mathematics" }
eplacement from {c: 6, w: 2, k: 4, z: 3}. Give prob of picking 3 c and 1 z. 4/91 Calculate prob of picking 3 t when three letters picked without replacement from tdidttitdt. 1/12 Two letters picked without replacement from hmfmo. What is prob of picking 1 h and 1 m? 1/5 What is prob of picking 1 s and 1 r when two letters picked without replacement from {h: 4, s: 1, x: 3, r: 5}? 5/78 What is prob of picking 2 z when two letters picked without replacement from {b: 2, z: 6}? 15/28 What is prob of picking 1 m and 1 a when two letters picked without replacement from jmummmamlmmmmjumamm? 8/57 Two letters picked without replacement from ssqssqqsqqqq. Give prob of picking 1 s and 1 q. 35/66 Four letters picked without replacement from {s: 1, o: 5, q: 3}. Give prob of picking 1 q and 3 o. 5/21 Four letters picked without replacement from {e: 5, z: 4, q: 1}. What is prob of picking 2 e and 2 z? 2/7 Three letters picked without replacement from uzuuuzuzuuuuzuuuuuzu. Give prob of picking 1 z and 2 u. 35/76 Four letters picked without replacement from jjjjbjjjjjb. Give prob of picking 4 j. 21/55 Four letters picked without replacement from vvmmjmjjjjvmjjvmjjpj. Give prob of picking 3 j and 1 v. 32/323 Three letters picked without replacement from {b: 2, u: 9}. What is prob of picking 1 u and 2 b? 3/55 Two letters picked without replacement from xyvus. What is prob of picking 1 s and 1 v? 1/10 Two letters picked without replacement from jja. Give prob of picking 2 j. 1/3 What is prob of picking 2 d and 2 j when four letters picked without replacement from {j: 5, d: 14}? 455/1938 Calculate prob of picking 2 o, 1 j, and 1 n when four letters picked without replacement from {j: 1, n: 2, o: 3, v: 1}. 6/35 Two letters picked without replacement from {c: 2, v: 6, g: 4}. Give prob of picking 2 c. 1/66 Three letters picked without replacement from {l: 4, z: 16}. What is prob of picking 3 l? 1/285 Calculate prob of picking 2 k when two letters picked without replacement from kwwkuyqwwquqweq. 1/105 Four letters picked without replacement from {y: 2, x: 11}. What is prob of picking 1 y and 3 x? 6/13 Three letters picked without replacement from miigigimigmggqigi. What is prob of picking 1 q and 2 i? 21/680 Calculate prob of picking 1 c, 1 k, and 2 h when four letters picked without replacement from yhccfcyccfchckkhkfk. 7/323 Calculate prob of picking 1 m, 2 g, and 1 f when four letters picked without replacement from ggfggmzjg. 5/63 What is prob of picking 1 k, 1 h, and 2 n when four letters picked without replacement from {q: 2, h: 1, k: 4, f: 1, n: 3}? 2/55 Two letters picked without replacement from {s: 1, y: 6, r: 10}. Give prob of picking 2 y. 15/136 Two letters picked without replacement from ssnic. Give prob of picking 1 n and 1 i. 1/10 Two letters picked without replacement from qccqqqqqq. What is prob of picking 2 q? 7/12 Calculate prob of picking 4 a when four letters picked without replacement from oxapppxaaxppxpoaopi. 1/3876 Two letters picked without replacement from zvz. Give prob of picking 2 z. 1/3 Three letters picked without replacement from wwwweeweweew. Give prob of picking 2 e and 1 w. 7/22 What is prob of picking 3 q when three letters picked without replacement from qqqqqqiqqqiqq? 15/26 Four letters picked without replacement from zzzs. What is prob of picking 2 s and 2 z? 0 Two letters picked without replacement from ommoomoomm. Give prob of picking 2 m. 2/9 Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {v: 3, p: 3, i: 2}. 9/56 Calculate prob of picking 1 f, 1 l, 1 y, and 1 n when four letters picked without replacement from {f: 1, y: 1, r: 1, n: 1, l: 3}. 3/35 Two letters picked without replacement from zppizznxzznxinzxrx. Give prob of picking 1 r and 1 i. 2/153 Calculate prob of picking 1 d, 2 y, and 1 m when four letters picked without replacement from ddayaddmmdyy. 2/33 What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 3, i: 7}? 7/15 Three letters picked without replacement from yooyyoooyoooooyooo. What is prob of picking 2 y and 1 o? 65/408 Calculate prob of picking 1 q, 1 v, and 2 s when four letters picked without replacement from {b: 1, v: 2, q: 3, s: 4, o: 1}. 6/55 Three letters picked without replacement from {i: 2, h: 1, v: 1, p: 4, n: 3, a: 1}. What is prob of picking 1 h, 1 a, and 1 n? 3/220 Three letters picked without replacement from yyyyyllylyy. Give prob of picking 2 l and 1 y. 8/55 Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {g: 16, l: 4}. 8/95 Three letters picked without replacement from qrqcrrrqqrcrcrqcrqqq. Give prob of picking 1 q and 2 c. 4/95 What is prob of picking 2 u and 1 l when three letters picked without replacement from {l: 5, u: 7}? 21/44 Four letters picked without replacement from xxvvcxxxxxxxcxx. What is prob of picking 3 x and 1 v? 22/91 Two letters picked without replacement from {e: 6, v: 6}. Give prob of picking 1 e and 1 v. 6/11 Four letters picked without replacement from ddrnnrddd. What is prob of picking 2 d and 2 n? 5/63 What is prob of picking 1 w and 2 z when three letters picked without replacement from gygzwizhy? 1/84 What is prob of picking 3 c when three letters picked without replacement from {z: 1, c: 2}? 0 Two letters picked without replacement from jrjj. What is prob of picking 1 r and 1 j? 1/2 Three letters picked without replacement from umuxmxxm. Give prob of picking 1 u and 2 m. 3/28 Calculate prob of picking 1 v and 3 j when four letters picked without replacement from ejjqevvevqvjvvvejj. 7/306 Two letters picked without replacement from kvxgkgvkkxgkggvgg. What is prob of picking 1 g and 1 x? 7/68 Four letters picked without replacement from {j: 4, r: 6}. What is prob of picking 3 j and 1 r? 4/35 Two letters picked without replacement from eeief. What is prob of picking 1 f and 1 i? 1/10 Two letters picked without replacement from {d: 5, j: 5}. What is prob of picking 2 j? 2/9 Four letters picked without replacement from nnrdcnr. What is prob of picking 1 n, 1 r, 1 d, and 1 c? 6/35 Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {l: 2, q: 1, o: 3, c: 4, n: 1}. 4/55 Three letters picked without replacement from sssssss. What is prob of picking 3 s? 1 Three letters picked without replacement from qlqlllwlqllllwqwlplq. Give prob of picking 1 l and 2 q. 11/114 Two letters picked without replacement from {l: 1, r: 1, n: 2, i: 1, f: 2, s: 1}. What is prob of picking 1 l and 1 i? 1/28 Three letters picked without replacement from heababhoakha. Give prob of picking 1 e and 2 a. 3/110 What is prob of picking 1 f, 2 b, and 1 u when four letters picked without replacement from {j: 1, s: 3, a: 1, b: 6, u: 3, f: 4}? 1/17 What is prob of picking 1 p and 2 u when three letters picked without replacement from ppuppoouuopuupoupu? 49/272 What is prob of picking 1 m and 2 p when three letters picked without replacement from mmpmppppmrmmmmmmm? 11/68 Two letters picked without replacement from {k: 1, p: 4, t: 2, l: 2, r: 10}. What is prob of picking 1 l and 1 r? 20/171 Four letters picked without replacement from {v: 10, g: 4}. What is prob of picking 1 g and 3 v? 480/1001 Four letters picked without replacement from ttzztztztztwkzkzkz. Give prob of picking 4 z. 7/306 Two letters picked without replacement from dddodddxddxdoood. Give prob of picking 1 d and 1 x. 1/6 Three letters picked without replacement from {v: 1, m: 1, e: 1, u: 6, i: 3}. Give prob of picking 2 i and 1 m. 3/220 Two letters picked without replacement from {p: 1, n: 7, s: 1}. Give prob of picking 2 p. 0 Three letters picked without replacement from ncrrmec. What is prob of picking 1 e and 2 c? 1/35 Calculate prob of picking 1 y, 1 r, 1 m, and 1 v when four letters picked without replacement from {y: 1, v: 3, m: 3, p: 1, r: 3, j: 2}. 27/715 What is prob of picking 1 o and 1 x when two letters picked without replacement from mmmxmxsmmsmmmo? 2/91 Three letters picked without replacement from {b: 3, v: 5}. Give prob of picking 3 b. 1/56 Two letters picked without replacement from xteem. Give prob of picking 1 m and 1 x. 1/10 Three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
h - 4*h + 2*h))*(-13 + 5 + 21)*(3*h - 4*h + 0*h). 13*h**2 Expand (-r + 1 - 1)*(0*r**4 + 3*r**4 - r**4) + (0*r - 2*r**3 + 0*r)*(-3*r**2 + 0*r**2 + 5*r**2) - 12*r**5 + 334*r**3 - 334*r**3. -18*r**5 Expand 4 - 4 + 2*a + (-3*a + 2*a - a)*(2 + 4 - 4) + a + 1 - 1 + (4*a - a - a)*(-2 + 3 + 2) - 18*a + 2*a + a. -10*a Expand ((-2*v + 3*v - 2*v)*(1 - 1 - 1) + 16 + v - 16)*(2*v - 4*v + v). -2*v**2 Expand (5*m**3 + 11*m**2 - 11*m**2 - 2*m)*(-m**2 + 2 - 2). -5*m**5 + 2*m**3 Expand (-3 + 0 + 4)*(4*r**4 - 4*r**4 - 4*r**5) - 2*r**5 + 2*r**5 + r**5 + 3*r**2 + 2*r**5 - 3*r**2. -r**5 Expand (0 + 14 + 7)*(2*s**2 - 3*s**2 - 3*s**3 + 2*s**2). -63*s**3 + 21*s**2 Expand (-2*u - 2 + 2)*(4*u - 1 + 1) - 6*u**2 + 2 - 2. -14*u**2 Expand (-d + 4*d - 5 - 2*d + (d - 2*d + 0*d)*(3 + 0 - 5) - 4*d + 0*d + 3*d + 2*d - 1 + 1 + 4*d - 4*d - 2*d)*(2 + 3 - 3). 4*d - 10 Expand (-7*n**2 - 12 - 6*n**2 + 12*n**2)*(-3*n + 4*n + n) - n**3 + 0*n**3 + 2*n**3. -n**3 - 24*n Expand (3*q - 2*q + q)*(3 - 3 - 2*q)*(-1 + 1 + 2). -8*q**2 Expand (4*d - 7*d - d)*(-5*d + 4*d - d + d - 2*d - d - 2*d + 4*d + 0*d + (-3 + 4 + 0)*(-2*d + 3*d - 3*d) - 3*d - 2*d + 4*d + 4*d + 0*d - 6*d + 7*d - 3*d + 0*d). 12*d**2 Expand (1 - 1 - 3)*(j**2 - j**2 + 2*j**2 + (3*j**2 - 2*j**2 + 0*j**2)*(-3 + 5 - 1) + 2*j**2 + j**2 - 5*j**2). -3*j**2 Expand 4*f**3 - f**3 - 2*f**3 - 42*f**2 + 42*f**2 - 10*f**3 + (4*f**2 - 2*f**2 - 3*f**2)*(2*f + 2 - 2). -11*f**3 Expand (-24 + 4*k + 24)*(3 - 2 - 3). -8*k Expand (0*a**2 + 4*a**2 - 2*a**2)*(a**3 + 0*a**3 + 0*a**3) + (-a + 0*a + 3*a)*(8 - 3*a**4 - 8). -4*a**5 Expand (-3*d**3 + 4*d**3 + 2*d**3)*(-d**2 + 3*d - 3*d) + (-d**2 - 3*d**2 + 3*d**2)*(1 - d**3 - 1). -2*d**5 Expand (-2 + 2*k + 2)*(0 - 10 - 3) + (-4 + 2 + 1)*(-k - k + 0*k). -24*k Expand (-3*q + q + 3*q - 2*q + 0*q + 4*q + (-5*q + 0*q + 4*q)*(-3 - 4 + 4))*(-1 + 2 - 2). -6*q Expand (-1 + 2*n + 1 + (-2 - 3 + 4)*(2*n - 4*n + n))*(-4 + n + 4). 3*n**2 Expand (-9 + 1 + 0)*(2*p + 3*p - p). -32*p Expand -2*t**2 + 3*t**2 - 2*t**2 - 1 + (-2*t**2 - 1 + 1)*(-7 + 0 + 0). 13*t**2 - 1 Expand (-48 - f**2 + 48)*(-4*f**3 + 4*f**3 - f**3 + (-3*f + f + 0*f)*(0*f**2 - 2*f**2 + 3*f**2)). 3*f**5 Expand (-2*n - 2*n + 2*n)*(1 + n - 1) - 2*n + 2*n + n**2 + 20 - 20 - 22*n**2. -23*n**2 Expand ((-2*l + l + 2*l)*(0 + 4 - 5) + 2*l + 2*l - 2*l - 2*l - l + 7*l + 0 + 0 + 3*l)*(l - 6*l + 2*l) + 2*l**2 + 4*l - 4*l. -22*l**2 Expand ((1 - 1 - 2*d)*(2 + 1 - 2) - 55*d - 1 + 3 + 89*d)*(-d - d + d). -32*d**2 - 2*d Expand (4*c**2 - 4*c**2 + 2*c**2)*(c - 3*c + 7*c) + c**3 - c**3 + 2*c**3. 12*c**3 Expand (v**2 - v**2 + v**2)*(-6*v**2 + 0 + 4*v + 2 + 5*v**2). -v**4 + 4*v**3 + 2*v**2 Expand (-3*u + 0 + 0)*(-1 + 1 + 3*u)*(2*u + 2 - 2). -18*u**3 Expand 10*f**2 + 18*f - 18*f + (0*f - 2*f + 4*f)*(f - f + f) + 2*f**2 + f**2 - f**2 - 4*f + 4*f + 2*f**2 - 3 + 3 - 2*f**2. 14*f**2 Expand (-5 + 5 - 3)*(3*c - 2*c**2 - 3*c) - 2*c**2 + 4*c**2 - c**2. 7*c**2 Expand (n**2 + 2 - 2)*(0*n - 3*n + 5*n) + 3*n**3 - 2 + 2. 5*n**3 Expand (0*t**3 + 3*t**3 - t**3)*(-4 - 1 + 6)*(-4*t + 5*t + 2*t). 6*t**4 Expand (d - 4*d + 5*d)*(4 + 0 - 2) + 2*d + 1 - 1 + (-2*d + 4*d - d)*(0 - 4 + 2) + 4*d - 3*d - 2*d + 0 + 0 + 2*d - 3*d + 5*d - d. 6*d Expand -5*l**2 + 2*l**2 + 2*l**2 + ((-2*l - 2 + 2)*(-2 - 4 + 4) + 3*l - 3*l + l)*(-l + 0*l + 2*l). 4*l**2 Expand (367*w + 13*w**2 - 367*w)*(0*w**3 - 2*w**3 + 4*w**3). 26*w**5 Expand (4*s - s - 2*s + (3 + 3 - 5)*(5*s - 2*s - 2*s))*(-3*s**2 - 7*s**2 + 0*s**2 + s - 2*s**2 - s + (0*s + s + s)*(0*s + s + 0*s) - 5*s**2 + 3*s**2 + s**2). -22*s**3 Expand (4 + 4 + 10)*(1 - 5 + 2)*(-4*x - 2*x + 4*x)*(4 - 4 - 4*x**3). -288*x**4 Expand (-1 - 4 + 6)*(2*f**4 - 3*f**4 + 2*f**4 + 0*f + 0*f + 2*f**4 + 0*f + 0*f + f**4 + (-1 - 1 + 3)*(f**4 + 3*f**4 - 3*f**4) + 1 - 1 + 2*f**4). 7*f**4 Expand (-z - z - z)*(8 + 0 + 0)*(-9 + 0 + 1). 192*z Expand (2*v + v - 2*v)*(-2 + 2 + v)*(0*v + 0*v + 2*v). 2*v**3 Expand (-5*n + 2*n + 2*n)*(2 - 6 + 3) - 119*n + 4382 - 4382. -118*n Expand 5*v - 3*v + 0*v + v - 3 + 3 - 4*v - v + 2*v + (v - 5*v + 2*v)*(3 - 5 + 3) + 1 + v - 1. -v Expand (-1 - 5 + 2)*(-i + 0 + 0)*(i**2 + 48*i - 48*i - 7). 4*i**3 - 28*i Expand 2*p**5 + p**2 - p**2 + 2*p**5 - 3*p**5 + 4*p**5 + (-3 - 2*p**5 + 3)*(0 + 1 + 0) - 3*p**5 + p**5 + p**5 + (0*p**3 + 2*p**4 + 0*p**3)*(-2*p + p + 3*p). 6*p**5 Expand (2 + 0 - 3)*(-8*p**3 + 5*p**3 + 16*p**3). -13*p**3 Expand (1 + 4*c - 1)*(2*c - 1 + 1). 8*c**2 Expand (l**2 + l**2 - 138 + 2*l**3 + 159)*(0*l + 5*l - 6*l). -2*l**4 - 2*l**3 - 21*l Expand (-4 + 4 + q)*(-3 + 2 + 0) + 31*q + 32*q + 0*q - 10*q. 52*q Expand (-3 - 2 + 3)*(-z**4 - 2*z**4 + 0*z**4) + (-3 + 3*z + 3)*(-8 + 6*z**3 + 8). 24*z**4 Expand (7*g - 6*g + g + g**2 - g**3)*(0*g + 3*g - 5*g). 2*g**4 - 2*g**3 - 4*g**2 Expand 0*v**2 + 3*v**2 + 2*v**4 - v**4 - 3*v**4 + 2*v - 2*v + (-2*v**2 - 2*v + 2*v)*(1 - 1 + 2*v**2). -6*v**4 + 3*v**2 Expand (-7 + 9 - 6)*(f**2 + 2*f**2 - f**2). -8*f**2 Expand -2*g**2 - 2*g**2 + 6*g**2 + (67 - 67 - 5*g**2)*(-3 + 0 - 1). 22*g**2 Expand (b**2 + 7*b**2 - 11*b**2)*(0*b**3 + 5*b**3 - 4*b**3) + (-2*b**2 + 2*b**2 - 2*b**2)*(b + b**3 - b) + 2*b**5 + b**5 - 5*b**5. -7*b**5 Expand (-50 + 3 + 25)*(-2*f**2 + 3*f**2 - 3*f**2 + (2*f + f - f + (0*f + 0*f + f)*(0 + 3 - 1))*(-1 - 2*f + 1)). 220*f**2 Expand (0*k + k - 2*k)*(-7*k - k**3 + 7*k)*(-2*k + 5*k - 12*k). -9*k**5 Expand ((3*i + 3*i - 3*i)*(5 - 3 - 6) + 2*i - 5*i + i)*(2 + 3*i - i + 0 + i + 2*i - 5*i + (-7 + 2 + 1)*(-2 + i + 2)). 56*i**2 - 28*i Expand (b**2 - 3*b**2 + 0*b**2)*((4 - 1 - 2)*(-1 + 2 - 2) + 3 - 3 + 1 + (3 - 2 - 2)*(3 + 0 - 1)). 4*b**2 Expand (2*p**3 - 4*p**3 + 4*p**3)*((-6 + 3 + 1)*(-2 + 2 - 4) + 0 + 0 + 2 + (-3 + 0 + 2)*(-1 - 2 + 5)). 16*p**3 Expand (1 - 1 - 2*d**3)*(0 + 0 + 3*d) + 2*d - 5*d**4 - 2*d + (-d**2 + 0*d**2 + 2*d**2)*(2*d**2 + 4*d**2 - 3*d**2). -8*d**4 Expand (0 + 2*b + 0)*(-3*b - 4*b + 6*b)*(6*b**3 - 2*b**3 + 0*b**3). -8*b**5 Expand 2*x**4 - x + x + 0*x + 2*x**4 + 0*x + (-80 + 7*x + 80)*(2*x**3 - 2 + 2). 18*x**4 Expand 2*i**4 - i**4 + i**4 + (-3*i - 3*i - 2*i)*(-i**3 + 5*i**3 - 2*i**3). -14*i**4 Expand (2*t + 5*t - 5*t)*(-1007*t**2 + 2*t + 1011*t**2 - t). 8*t**3 + 2*t**2 Expand -6*q**4 - 2*q**4 + 0*q**4 + (3 - 3 + q)*(-q**3 - q**3 + 0*q**3). -10*q**4 Expand (-1 - 1 + 10)*(5*d**2 - d**2 - d**2) + (1 - d**2 - 1)*(1 - 5 + 3). 25*d**2 Expand (-51 + 36 + 43)*(-2*j**3 - 2*j**2 + 2*j**2). -56*j**3 Expand (0 - 2 + 3)*(167*k - 161*k - 1 + 0). 6*k - 1 Expand 12*t**2 - 2*t + 23 - 23 + (0*t**2 + 3*t**2 - 4*t**2)*(-2 + 2 + 1). 11*t**2 - 2*t Expand (-4*j**2 + 4*j**2 - 2*j**3)*(j - j**2 - j) + 8*j**5 + 8*j**5 + j**5 - j**5 - 2*j**3 + 2*j**3 + (-2*j**2 + j**2 + 2*j**2)*(j**2 - j**3 - j**2). 17*j**5 Expand ((-2 - 3 + 1)*(-4 + 0 - 2) + 1 + 2 + 0)*(2*b - 5*b + b). -54*b Expand r - r**2 - 11 + 11 + 2*r**2 + 2*r**2 - 3*r**2 + (r - 2*r + 0*r)*(-2*r - r + 2*r). r**2 + r Expand (2*z - 5 + 5)*(2*z**4 + 0*z**4 + 0*z**4) + 42*z**5 - 14*z**5 - 3*z**5. 29*z**5 Expand (6*l**3 - 4*l**3 - 3*l**3)*(-37*l - 1 - 19*l + 24*l). 32*l**4 + l**3 Expand (-4 + 42 + 1)*(-a**2 + 0 + 0)*(0*a - a + 0*a). 39*a**3 Expand (8*t**3 - 6 + 6)*(2*t - 4*t + 0*t) + 2*t**4 - 4*t**4 + t**4. -17*t**4 Expand (-10 - 12*h**2 + 10)*(0 - 3 + 0). 36*h**2 Expand -p**2 - 2*p**2 - p**2 + (2 + 6*p - 2)*(0*p + 4*p - 2*p) + 1 - 1 + 2*p**2. 10*p**2 Expand (3*y**2 - 3*y**2 - 3*y**2)*(132 - 67 - 93). 84*y**2 Expand (0*w**2 - 4*w**2 + 11*w**2)*(5 - 1 - 3). 7*w**2 Expand (-2*a**2 + 0*a**2 + 4*a**2)*(a - a - 4*a). -8*a**3 Expand (2*v**3 - 2 + 2)*(-3*v + 2*v - v)*(0 - v + 0) + 4*v**5 - 3*v**5 + 0*v**5. 5*v**5 Expand (5*g + g + 7*g)*(-g**3 + g**3 - g**4) + (3 - 2*g - 3)*(-4*g**4 - g**4 + 3*g**4). -9*g**5 Expand (-3 - 3 - 4*k**2 + 5)*(-k + 5*k - 3*k). -4*k**3 - k Expand 2 + 2*r - 2 + 3 - 3 + 2*r + (5*r + 0*r - 3*r)*(0 + 3 - 2). 6*r Expand (3*y**2 - 3*y**2 + 5*y**2)*(-4*y**2 + 4*y**2 - y**2) + y - y + 3*y**4. -2*y**4 Expand (3*a - 2*a - 3*a - 2 + 2 + 2*a + (-2*a + 0*a + 3*a)*(0 + 2 + 0) - 5*a + 3*a + 7*a + (-3*a - a + 2*a)*(4 - 4 - 1))*(-5 + 2 + 2). -9*a Expand (-4*z**3 + 9*z**3 + 5*z**3)*(z - 3*z - 2*z**2 - 2*z**2). -40*z**5 - 20*z**4 Expand (3 + 2 - 3)*(3 - 3 + 2*t + 0*t + 3*t - t + (t + 0*t - 2*t)*(5 - 3 - 1))*(0*t - 4*t + 3*t). -6*t**2 Expand (-26*a - 40*a - 187*a)*(-2 + 2 + 2*a) + (2*a**2 - 3*a**2 + 3*a**2)*(4 + 0 - 5). -508*a**2 Expand (-2*u - 2 + 2)*(-5 + 1 - 2). 12*u Expand
{ "pile_set_name": "DM Mathematics" }
of picking 2 z and 1 u when three letters picked without replacement from eereuyzziiiuryyuz. 9/680 What is prob of picking 2 s when two letters picked without replacement from ssssssssssuss? 11/13 Two letters picked without replacement from {t: 4, p: 1, n: 1, k: 2, g: 3, y: 4}. Give prob of picking 1 p and 1 k. 2/105 Calculate prob of picking 2 i and 1 y when three letters picked without replacement from iyyii. 3/5 Three letters picked without replacement from {s: 4, z: 1, o: 1, h: 3, t: 7}. What is prob of picking 2 h and 1 z? 3/560 Four letters picked without replacement from vffeaffjfaaj. What is prob of picking 3 a and 1 f? 1/99 What is prob of picking 1 r and 1 t when two letters picked without replacement from trtrttrrtrtt? 35/66 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {j: 4, o: 1, z: 1, b: 2, s: 7}. 2/105 Four letters picked without replacement from {z: 5, e: 5}. What is prob of picking 1 e and 3 z? 5/21 Three letters picked without replacement from {v: 1, z: 2, a: 2, o: 1, y: 1, x: 2}. What is prob of picking 1 o and 2 x? 1/84 Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, y: 3, o: 3, x: 4}. 1/26 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xonnfug. 1/21 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {x: 5, r: 2, u: 4, p: 4}. 4/21 Two letters picked without replacement from gxrargugag. Give prob of picking 1 a and 1 g. 8/45 Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, s: 6}. 2/15 Two letters picked without replacement from {e: 1, m: 1, p: 1, t: 1, q: 1}. Give prob of picking 1 e and 1 m. 1/10 Four letters picked without replacement from gpnpgncgcgdnnncndge. What is prob of picking 3 c and 1 g? 5/3876 Four letters picked without replacement from {e: 1, r: 11}. Give prob of picking 1 e and 3 r. 1/3 Calculate prob of picking 4 z when four letters picked without replacement from {z: 6}. 1 What is prob of picking 1 w and 1 s when two letters picked without replacement from wsxxkii? 1/21 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 3, b: 6, l: 3, a: 6, f: 2}. 9/95 What is prob of picking 3 j and 1 z when four letters picked without replacement from zjzwjzxzzzwjjzfzj? 4/119 Four letters picked without replacement from {d: 1, s: 1, t: 6, b: 5, r: 1}. What is prob of picking 2 t, 1 b, and 1 s? 75/1001 Two letters picked without replacement from {x: 1, e: 2, t: 2, n: 3, q: 2, o: 2}. Give prob of picking 1 x and 1 q. 1/33 Two letters picked without replacement from {x: 3, e: 2}. Give prob of picking 2 x. 3/10 Four letters picked without replacement from {o: 19, k: 1}. What is prob of picking 3 o and 1 k? 1/5 Four letters picked without replacement from rddndddemzrreendd. What is prob of picking 1 r, 1 d, 1 n, and 1 z? 3/170 What is prob of picking 1 c and 1 e when two letters picked without replacement from eaeelaallcllllaaeea? 5/171 Three letters picked without replacement from {u: 4, r: 6}. Give prob of picking 2 u and 1 r. 3/10 Calculate prob of picking 3 s when three letters picked without replacement from {l: 7, s: 5, o: 8}. 1/114 What is prob of picking 3 t and 1 r when four letters picked without replacement from {r: 2, t: 5}? 4/7 Three letters picked without replacement from gnygg. What is prob of picking 3 g? 1/10 Calculate prob of picking 2 i, 1 n, and 1 v when four letters picked without replacement from {n: 8, v: 2, m: 5, l: 2, i: 3}. 16/1615 Calculate prob of picking 1 i, 1 p, and 2 l when four letters picked without replacement from lpvppiliil. 9/70 What is prob of picking 3 m when three letters picked without replacement from {m: 5}? 1 What is prob of picking 1 i and 2 j when three letters picked without replacement from kkekhjkjjki? 1/55 Three letters picked without replacement from uwuuwufufuff. Give prob of picking 1 w and 2 f. 3/55 Two letters picked without replacement from {l: 3, j: 1, o: 6, v: 1, h: 3}. What is prob of picking 1 h and 1 j? 3/91 Calculate prob of picking 2 c and 1 k when three letters picked without replacement from ckkccccc. 15/28 Three letters picked without replacement from ddxxdx. What is prob of picking 2 d and 1 x? 9/20 Two letters picked without replacement from oogfmfooonnn. Give prob of picking 1 n and 1 m. 1/22 Two letters picked without replacement from lfbf. Give prob of picking 1 f and 1 l. 1/3 Three letters picked without replacement from ooohooohoohooo. Give prob of picking 3 o. 165/364 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {o: 1, d: 1, b: 1, w: 5, v: 4}. 1/66 Three letters picked without replacement from vvpvpvullphphl. Give prob of picking 1 l and 2 v. 9/182 Two letters picked without replacement from {b: 2, g: 1, s: 3, w: 2, o: 1, y: 3}. What is prob of picking 1 g and 1 o? 1/66 What is prob of picking 1 i and 1 t when two letters picked without replacement from wpwtigtftttffpt? 2/35 Calculate prob of picking 3 j when three letters picked without replacement from jjj. 1 Two letters picked without replacement from tdydrtd. What is prob of picking 1 y and 1 d? 1/7 What is prob of picking 3 s when three letters picked without replacement from {a: 10, t: 2, m: 2, e: 3, s: 3}? 1/1140 Four letters picked without replacement from {t: 4, v: 2, c: 2, g: 4, q: 2}. Give prob of picking 1 q, 2 c, and 1 g. 8/1001 Calculate prob of picking 1 o and 3 t when four letters picked without replacement from {r: 7, t: 3, o: 4}. 4/1001 Three letters picked without replacement from {g: 2, m: 2}. Give prob of picking 1 m and 2 g. 1/2 Three letters picked without replacement from zzrrrrzr. Give prob of picking 1 r and 2 z. 15/56 Calculate prob of picking 2 m when two letters picked without replacement from mxxmmm. 2/5 What is prob of picking 3 u when three letters picked without replacement from {y: 6, p: 2, u: 3, n: 2, q: 2}? 1/455 Four letters picked without replacement from {t: 4, m: 4, j: 1, d: 1}. What is prob of picking 1 j and 3 m? 2/105 What is prob of picking 1 m and 3 p when four letters picked without replacement from mpppppppppmpmpp? 44/91 What is prob of picking 2 k when two letters picked without replacement from kvckbbha? 1/28 What is prob of picking 1 f and 1 l when two letters picked without replacement from gaflfalafgdaglaa? 3/40 Two letters picked without replacement from fwffwfafffffwaf. What is prob of picking 2 w? 1/35 Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {w: 1, p: 3}. 3/4 Two letters picked without replacement from gqwqw. What is prob of picking 2 w? 1/10 Three letters picked without replacement from wvcycv. What is prob of picking 1 v, 1 y, and 1 w? 1/10 Three letters picked without replacement from {j: 6}. What is prob of picking 3 j? 1 Four letters picked without replacement from {w: 13, z: 5}. What is prob of picking 4 w? 143/612 Two letters picked without replacement from {d: 4, f: 3, a: 1, v: 2, y: 1}. Give prob of picking 2 d. 6/55 Two letters picked without replacement from {n: 3, y: 1, l: 1, b: 2, j: 3, v: 1}. Give prob of picking 1 n and 1 l. 3/55 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from ggppttgrjgggghg. 16/105 Three letters picked without replacement from {o: 2, n: 4}. What is prob of picking 3 o? 0 Three letters picked without replacement from {l: 2, z: 3, e: 2, b: 2, d: 2, i: 1}. What is prob of picking 1 z, 1 e, and 1 i? 3/110 Two letters picked without replacement from nxyhthtx. What is prob of picking 1 y and 1 t? 1/14 What is prob of picking 2 d when two letters picked without replacement from {d: 7, z: 4}? 21/55 What is prob of picking 2 x when two letters picked without replacement from xxxxx? 1 Two letters picked without replacement from pppppppppipppppppp. Give prob of picking 2 p. 8/9 Two letters picked without replacement from {w: 1, z: 19}. What is prob of picking 1 w and 1 z? 1/10 Four letters picked without replacement from {t: 1, g: 3, y: 3, a: 3, f: 1, e: 4}. Give prob of picking 1 e and 3 g. 4/1365 Three letters picked without replacement from {g: 8, j: 3}. Give pro
{ "pile_set_name": "DM Mathematics" }
by 2358. 2318 What is the remainder when 41121422 is divided by 648? 638 Calculate the remainder when 531087 is divided by 35401. 72 What is the remainder when 19947087 is divided by 241? 240 Calculate the remainder when 5046 is divided by 358. 34 Calculate the remainder when 24921374 is divided by 196231. 37 Calculate the remainder when 7089544 is divided by 205. 29 What is the remainder when 3970687 is divided by 43? 24 What is the remainder when 4065597 is divided by 275? 272 Calculate the remainder when 830708 is divided by 983. 73 Calculate the remainder when 70585631 is divided by 7072. 7071 Calculate the remainder when 111679 is divided by 27282. 2551 What is the remainder when 1968321 is divided by 4050? 21 Calculate the remainder when 170735 is divided by 249. 170 Calculate the remainder when 20106125 is divided by 3009. 2996 Calculate the remainder when 13108227 is divided by 12. 3 What is the remainder when 5921960 is divided by 191030? 30 What is the remainder when 401674298 is divided by 32? 26 What is the remainder when 14231 is divided by 415? 121 Calculate the remainder when 4583399 is divided by 65477. 9 Calculate the remainder when 16995582 is divided by 1413. 18 Calculate the remainder when 643275 is divided by 5406. 5367 What is the remainder when 2683351 is divided by 99? 55 Calculate the remainder when 11351516 is divided by 3325. 3291 Calculate the remainder when 1233689 is divided by 1154. 63 Calculate the remainder when 534898 is divided by 1917. 55 What is the remainder when 933136 is divided by 1236? 1192 Calculate the remainder when 211527 is divided by 43. 10 What is the remainder when 391117 is divided by 20503? 1560 What is the remainder when 2430325 is divided by 3202? 7 What is the remainder when 105739 is divided by 209? 194 Calculate the remainder when 1107393 is divided by 75. 18 Calculate the remainder when 57367064 is divided by 10. 4 Calculate the remainder when 2664544 is divided by 2664373. 171 What is the remainder when 127159364 is divided by 42386449? 17 Calculate the remainder when 5154930 is divided by 1618. 1600 What is the remainder when 8360913 is divided by 2121? 2052 Calculate the remainder when 127262228 is divided by 53494. 2 Calculate the remainder when 536273 is divided by 1286. 11 Calculate the remainder when 306902 is divided by 845. 167 Calculate the remainder when 582371 is divided by 463. 380 Calculate the remainder when 35396 is divided by 8763. 344 Calculate the remainder when 34227541 is divided by 17113769. 3 Calculate the remainder when 18656102 is divided by 35. 17 Calculate the remainder when 4944034 is divided by 1236. 34 Calculate the remainder when 556185 is divided by 18411. 3855 Calculate the remainder when 35670740 is divided by 8. 4 What is the remainder when 3386737 is divided by 4176? 1 Calculate the remainder when 1339867 is divided by 533. 438 Calculate the remainder when 19818401 is divided by 3963680. 1 What is the remainder when 5443361 is divided by 777623? 0 Calculate the remainder when 68438906 is divided by 9836. 18 Calculate the remainder when 18646 is divided by 1856. 86 Calculate the remainder when 120782 is divided by 60184. 414 What is the remainder when 22007 is divided by 1002? 965 What is the remainder when 840546 is divided by 36544? 34 Calculate the remainder when 29380072 is divided by 14. 8 Calculate the remainder when 198803321 is divided by 75. 71 What is the remainder when 16657 is divided by 16504? 153 What is the remainder when 92746420 is divided by 18? 16 Calculate the remainder when 2780702 is divided by 16. 14 Calculate the remainder when 4312680 is divided by 146. 132 What is the remainder when 394608 is divided by 131451? 255 What is the remainder when 294336 is divided by 998? 924 Calculate the remainder when 3220860 is divided by 44. 16 Calculate the remainder when 1596776 is divided by 1119. 1082 What is the remainder when 99259 is divided by 5903? 4811 What is the remainder when 213335 is divided by 811? 42 Calculate the remainder when 256485 is divided by 703. 593 What is the remainder when 417349 is divided by 58? 39 What is the remainder when 3004865 is divided by 1001531? 272 Calculate the remainder when 2916227 is divided by 324025. 2 Calculate the remainder when 3968094 is divided by 793508. 554 What is the remainder when 2766472 is divided by 395205? 37 What is the remainder when 57161558 is divided by 1020742? 6 Calculate the remainder when 4312487 is divided by 341. 201 Calculate the remainder when 89868 is divided by 89865. 3 Calculate the remainder when 2469337 is divided by 2363. 2 Calculate the remainder when 413605 is divided by 7811. 7433 What is the remainder when 11083 is divided by 6481? 4602 What is the remainder when 25767 is divided by 2601? 2358 What is the remainder when 180439 is divided by 1025? 39 What is the remainder when 296016 is divided by 316? 240 What is the remainder when 76043 is divided by 517? 44 What is the remainder when 13680321 is divided by 12096? 11841 What is the remainder when 718465 is divided by 2? 1 What is the remainder when 24598917 is divided by 182? 161 Calculate the remainder when 3683 is divided by 3391. 292 Calculate the remainder when 52561 is divided by 4338. 505 What is the remainder when 11083958 is divided by 5541979? 0 What is the remainder when 2249356 is divided by 4105? 3921 What is the remainder when 2670506 is divided by 203? 41 Calculate the remainder when 738197989 is divided by 742. 739 Calculate the remainder when 2817544 is divided by 216734. 2 Calculate the remainder when 66931677 is divided by 380. 377 What is the remainder when 2743020 is divided by 6096? 5916 Calculate the remainder when 10808562 is divided by 2551. 2526 What is the remainder when 7324 is divided by 1254? 1054 What is the remainder when 2093716 is divided by 71? 68 What is the remainder when 64365 is divided by 287? 77 Calculate the remainder when 242194 is divided by 30246. 226 What is the remainder when 1956922 is divided by 652302? 16 Calculate the remainder when 23696176 is divided by 1014. 10 Calculate the remainder when 13932539 is divided by 633297. 5 What is the remainder when 11652051 is divided by 217? 19 Calculate the remainder when 467200185 is divided by 119. 116 What is the remainder when 7072393 is divided by 165? 163 Calculate the remainder when 78434 is divided by 38916. 602 What is the remainder when 617065 is divided by 107? 103 What is the remainder when 32533 is divided by 31755? 778 What is the remainder when 710877 is divided by 37? 33 Calculate the remainder when 5496271 is divided by 5496201. 70 What is the remainder when 9195982 is divided by 173? 167 Calculate the remainder when 1378828 is divided by 1378439. 389 What is the remainder when 892176 is divided by 1071? 33 Calculate the remainder when 192251 is divided by 13. 7 What is the remainder when 76896 is divided by 17660? 6256 What is the remainder when 9919266 is divided by 58007? 69 What is the remainder when 10383813 is divided by 3308? 1 What is the remainder when 75184 is divided by 5837? 5140 What is the remainder when 44967 is divided by 833? 818 What is the remainder when 2045910 is divided by 554? 542 What is the remainder when 2245740 is divided by 386? 378 Calculate the remainder when 688845 is divided by 39. 27 What is the remainder when 8985968 is divided by 78? 56 Calculate the remainder when 2118711678 is divided by 9838. 9836 What is the remainder when 287999 is divided by 95489? 1532 What is the remainder when 341079764 is divided by 7797? 7796 What is the remainder when 1912099 is divided by 36? 31 Calculate the remainder when 18003439 is divided by 693. 685 Calculate the remainder when 44120 is divided by 1215. 380 Calculate the remainder when 3303696061 is divided by 1436. 1433 Calculate the remainder when 33809 is divided by 435. 314 What is the remainder when 655939 is divided by 163762? 891 Calculate the remainder when 648378 is divided by 170. 168 Calculate the remainder when 2794090 is divided by 2294. 2292 What is the remainder when 364790 is divided by 1317? 1298 What is the remainder when 1448770 is divided by 21951? 4 What is the remainder when 147607577 is divided by 6834? 11 W
{ "pile_set_name": "DM Mathematics" }
. Let h(k) = 1. What is p*u(g) + 8*h(g)? -2*g Let y(p) = -9 - 14 + 25. Let z(f) = f + 3. Calculate -5*y(n) + 3*z(n). 3*n - 1 Let o(u) = -u + 5. Let z = 326 - 323. Let s = -1 + 3. Let a(h) = s + z - 4. What is 5*a(w) - o(w)? w Let t(a) = -a**3 + 13*a**2 + 2*a + 1. Let x(r) = 3*r**3 - 53*r**2 - 9*r - 5. What is -9*t(b) - 2*x(b)? 3*b**3 - 11*b**2 + 1 Let y(l) = -l**3 + 4*l**2 - l. Let s(x) = 3*x**3 - 13*x**2 + 4*x. Calculate -2*s(k) - 7*y(k). k**3 - 2*k**2 - k Let t(u) = -u**2 + 2. Suppose 16 = 4*d, 3*n + 18 = 2*d + d. Let y(q) = -2*q**2 + q + 3. Calculate n*y(a) + 3*t(a). a**2 - 2*a Let h(g) = -4*g**2 - 11*g + 17. Let t(m) = 3*m**2 + 9*m - 17. Give 5*h(u) + 6*t(u). -2*u**2 - u - 17 Let b(y) = y. Let u(t) be the third derivative of t**5/30 - t**4/6 + t**3/3 + 167*t**2. What is 5*b(m) + u(m)? 2*m**2 + m + 2 Let q(k) = 4*k - 9. Let v = 73 + -61. Suppose 25*m + v = 23*m. Let c(x) = -2*x + 5. Calculate m*q(y) - 11*c(y). -2*y - 1 Let m(j) = -3*j. Let p(s) be the first derivative of 12*s**2 - 5. Let t be 0 + 8 - 8/2. Calculate t*p(d) + 33*m(d). -3*d Let y(r) = -11*r - 786. Let x(f) = -19*f - 1575. Calculate -4*x(s) + 7*y(s). -s + 798 Let s(p) = 3*p**2 - 18*p. Let x(c) = 6*c + 12*c**2 - 38*c**2 + 13*c**2 + 12*c**2. What is -4*s(j) - 11*x(j)? -j**2 + 6*j Let x(w) = -6*w**3 + 3*w + 3. Let c be x(-1). Let j(a) = -41*a. Let o(r) = 14*r. What is c*j(s) + 17*o(s)? -8*s Let r(s) = 8*s**3 - 3*s**2 + 19*s + 8. Let l(u) = -17*u**3 + 7*u**2 - 41*u - 17. Calculate 6*l(d) + 13*r(d). 2*d**3 + 3*d**2 + d + 2 Let h(k) = -3*k + 3. Let w(x) = x - 1. Let l = 1 - 0. Let y = -125 + 132. Suppose -u - y - l = 0. Determine u*w(r) - 3*h(r). r - 1 Let h(j) = -3*j - 2*j**2 + 2*j - 3 - 1. Let f be (-4)/(-5)*(-135)/18. Let t(y) = -y**2 - 1. Let b = -7 - -9. What is b*h(g) + f*t(g)? 2*g**2 - 2*g - 2 Let b(a) = -a**2 + 2*a - 2. Let i = -3 + 2. Suppose 12 = -3*q, 4*w + q - 20 = 4*q. Let v(m) = -1 + 27*m + 31*m + m**2 + 23*m - 80*m. Determine i*b(u) + w*v(u). 3*u**2 Let z(y) = -4*y**2 + 6*y + 1. Let d(x) = -5*x**2 + 11*x + 1. Let m(q) = -21*q**2 + 47*q + 4. Let f(k) = -9*d(k) + 2*m(k). What is 7*f(t) + 6*z(t)? -3*t**2 + t - 1 Let y(q) = -5*q. Let g(w) = -11*w. Let b(j) = -j**3 - 24*j**2 + 22*j - 80. Let v be b(-25). Calculate v*y(d) + 2*g(d). 3*d Let m = 142 - 136. Let a(f) = -3*f**3 - 4*f**2 - 7*f - 6. Let k(x) = -6*x**3 - 9*x**2 - 15*x - 13. Give m*k(o) - 13*a(o). 3*o**3 - 2*o**2 + o Let v(w) = -w**2 + 4*w - 127. Let g(b) = b**2 - 3*b + 128. Give 5*g(t) + 4*v(t). t**2 + t + 132 Let d(f) be the first derivative of -5*f**4/4 + 10*f**3/3 - 5*f**2 + 10*f + 35. Let w(k) = -k**3 + k**2 - k + 1. Give -d(m) + 10*w(m). -5*m**3 Let g(f) = 3*f + 1. Let b(s) = -4*s - 2. Let y be 2/7 - (-264)/154. Let i be 10/y*(-4)/10. Give i*b(z) - 3*g(z). -z + 1 Suppose m - 25 = -l - 6, 2*m - 26 = 4*l. Let t(b) = 17 - m + 2*b. Let w(f) be the third derivative of f**4/6 - 32*f**2. Determine -11*t(z) + 6*w(z). 2*z Let s(g) = 2*g + 2. Let x(f) be the second derivative of f**5/120 + 7*f**3/3 - 9*f. Let q(u) be the second derivative of x(u). Determine -4*q(i) + s(i). -2*i + 2 Let r = 9 + -4. Let z be 2/(-2)*5/r. Let x(f) = f - 4. Let m(c) = -4. Let q(w) = -5. Let v(k) = -6*m(k) + 5*q(k). Give z*x(s) + v(s). -s + 3 Let n(u) = 2*u**3 + u - 1. Let a(y) be the second derivative of y**5/2 + 2*y**3/3 - 3*y**2 + 8*y - 2. What is 3*a(q) - 14*n(q)? 2*q**3 - 2*q - 4 Let x(p) = 4*p**3 + 2*p + 23. Let c(g) = g**3 + g - 1. Give 2*c(m) - x(m). -2*m**3 - 25 Let y(i) = 80*i + 18. Let f(b) = -80*b - 15. Determine 5*f(x) + 4*y(x). -80*x - 3 Let p be -6*(78/(-72) - 1/(-4)). Let y(s) = -1 + 3*s - 9*s**2 + s**2 + 3*s. Let v(n) = -7*n**2 + 5*n - 1. Give p*y(x) - 6*v(x). 2*x**2 + 1 Let z(u) = 54*u**2 - 14*u + 29. Let g(o) = 13*o**2 - 3*o + 7. Give -9*g(l) + 2*z(l). -9*l**2 - l - 5 Let o(l) be the third derivative of -l**6/120 - 7*l**4/24 + 13*l**3/6 - 136*l**2. Let w(i) = -i**3 - 5*i + 9. Give 5*o(k) - 7*w(k). 2*k**3 + 2 Let k(c) = c**2 + 5*c - 2. Let g(d) = -d**2 - 6*d + 1. What is 3*g(n) + 4*k(n)? n**2 + 2*n - 5 Let n(j) = -3 + j**3 - 3 + 4 + 2*j**2 - 2*j. Let h(d) = -3*d**3 - 7*d**2 + 7*d + 6. Suppose 22*i = 18*i + 8. Calculate i*h(b) + 7*n(b). b**3 - 2 Let p(k) = 3*k - 13. Let c(u) = -4*u + 13. Determine 2*c(o) + 3*p(o). o - 13 Suppose -1 - 9 = 5*k, -2*h + 5*k + 44 = 0. Let j(t) = 2*t**2 - 4*t. Let s(n) = -5*n**2 + 12*n. Calculate h*j(u) + 6*s(u). 4*u**2 + 4*u Let h(l) = -l. Let f be (6/(-4))/(10/20). Let j be ((f - 1) + 5)/1. Let a(b) = 6*b - 1. Determine j*a(q) + 5*h(q). q - 1 Let q be 22/(-10) + (-12)/(-60). Let f(l) = 2*l + 1. Let w = 1 + -4. Let b be ((-27)/6)/w*2. Let u(t) = 2*t + 2. Calculate b*f(v) + q*u(v). 2*v - 1 Let t(y) = 16*y**2 + 11*y + 6. Let q be -21 - (2/1 - 3). Let f = q - -18. Let x(i) = -3*i**2 - 2*i - 1. What is f*t(g) - 11*x(g)? g**2 - 1 Let w(l) = -l - 1. Suppose -9*o + 13*o = i + 16, 20 = 4*o. Let s(d) = -5*d + 1. Give i*s(x) + 4*w(x). -24*x Let t(y) = 1. Let s(p) = -13*p - 6. What is s(c) + 3*t(c)? -13*c - 3 Let i(o) = 4*o**3 - 2*o + 2. Suppose 3*c - 15 = -3*m, 5*m + 3*c - 5 = 18. Let a(b) = 5*b**3 - 3*b + 3. Determine m*a(f) - 6*i(f). -4*f**3 Let g(l) = -3*l**2 - 6. Let c(b) = 3*b**2 + 7. Let x be (-5)/2*(-3 + 3/3). Suppose -5*u - x*d = -50, d - 44 + 13 = -4*u. What is u*g(o) + 6*c(o)? -3*o**2 Let v(h) = 16*h - 13. Let a(t) = t - 2. Calculate -6*a(b) + v(b). 10*b - 1 Let k = -9182 + 9180. Let x(w) = -4*w**2 - 2*w + 2. Let p(h) = -2*h**2 - 4*h + 4. Let r(q) = -3*q**2 - 5*q + 5. Let o(c) = 4*p(c) - 3*r(c). Give k*o(j) + x(j). -6*j**2 Let r = -736 - -730. Let h(y) = -14*y - 4. Let v(a) = 7*a + 2. What is r*h(t) - 13*v(t)? -7*t - 2 Let c(o) = o + 3. Let m(a) = 2*a**2 - 4*a - 11. What is 5*c(x) + m(x)? 2*x**2 + x + 4 Let r(u) = 4*u - 1. Let d(a) = -5*a - 4 - 2 - 3 + 11. What is 2*d(i) + 3*r(i)? 2*i + 1 Let o(n) = -2*n**2. Let f(s) = -336*s**2. Give f(h) + 5*o(h). -346*h**2 Let t(l) = 2*l**3 + 7*l**2 + 4*l + 2. Let o be t(-3). Let s(k) = -k**3 - k**2 + k. Let y(b) = -5*b**3 + 2*b**2 - 2*b. Calculate o*y(p) - 2*s(p). 7*p**3 Let s(j) = 5*j**3 + 6*j + 6. Let w(g) be the first derivative of -21 - 13*g - 13/2*g**2 + 0*g**3 - 11/4*g**4. Give -13*s(n) - 6*w(n). n**3 Let k be (-44)/10 - (-6)/15. Let c(r) = -5*r + 6 - r - 7 + 3*r**2. Let q(z) be the first derivative of z**3/3 - z**2/2 + 34. Calculate k*q(n) + c(n). -n**2 - 2*n - 1 Let l(n) = 2*n**2 - 2*n + 7. Let w(z) = 5*z**2 - 6*z + 19. Give 17*l(x) - 6*w(x). 4*x**2 + 2*x + 5 Let w(u) be the second derivative of -17*u**4/12 + 3*u**2/2 + u. Let c(t) = 11*t**2 - 2. Let x be (-627)/171 + (-8)/6. Give x*w(o) - 8*c(o). -3*o**2 + 1 Suppose -2*m = -4*i - 4, 5*i = 4*m - 0 - 8. Let b(u) = -u - 3. Let o(j) = -j - 3. Determine m*o(t) - 3*b(t). t + 3 Let b(t) = t**3 - 9*t**2 - 5*t + 5. Let d(g) = 2*g**3 - 13*g**2 - 7*g + 7. Calculate -7*b(c) + 5*d(c). 3*c**3 - 2*c**2 Let a(v) = 9 + 3*v - 4*v**2 + 4*v + 0*v. Let x(l) = -2*l**2 + 3*l + 4. Let r = 4643 - 4646. What is r*a(k) + 7*x(k)? -2*k**2 + 1 Let s(y) = -5*y**2 - 10*y - 7. Let i(r) = -8*r**2 - 21*r - 13. Give -3*i(q) + 5*s(q). -q**2 + 13*q + 4 Let f(k) = k - 2. Let d be f(0). Let a(p) = p**3 - 5*p**2 + 6*p + 2. Let m(i) = 2*i**2 - 3*i - 1. Let o be 4/26 + 6432/(-1248). Give d*a(v) + o*m(v). -2*v**3 + 3*v + 1 Let p(l) = -102*l**3 + 4*l**2 + l + 3. Let w(j) = 102*j**3 - 6*j**2 - 2*j - 4. Determine -4*p(x) - 3*w(x). 102*x**3 + 2*x**2 + 2*x Let b(m) = m**2 - 4*m. Let p(v) be the second derivative of -v**3/2 - 4*v - 3. Give 3*b(l) - 4*p(l). 3*l**2 Let h(g) = 3*g**3 + 13*g**2 + 9. Let y(i) be the third derivative of -i**6/120 - i**5/10 - 2*i**3/3 - 95*i**2. Calculate -4*h(x) - 9*y(x). -3*x**3 + 2*x**2 Let h(k) = -1 + 6 - 5*k + 2*k**3 - 3*k**3. Let o(r) = 2*r - 2. Let g(p) = -p + 1 - p + 2. Let y be g(-1). Give y*o(n) + 2*h(n). -2*n**3 Let n(p) = p**3 - p - 1. Let o(w) be the first derivative of -5*w**4/2 + w**2/2 + w + 929. Determine n(u) + o(u). -9*u**3 Let r(a) = 16*a - 5. Let v(h) = 20*h - 4. What is -5*r(z) + 6*v(z)? 40*z + 1 Let o(r) = -r**2 - 2*r + 9. Let n(f) = -6*f**2 - 11*f + 43. Calculate -4*n(b) + 22*o(b). 2*b**2 + 26 Let g(j) = -j**3 - j. Let a(q) = -32*q + 4. Let y(o) = 38*o - 4. Let v(z) = 6*a(z) + 5*y(z). What is 2*g(t) - v(t)? -2*t**3 - 4 Let t(l) = -l - 1. Let v(h) = 26*h - 16. Let a(w) = -24*w + 13. Let s(y) = 6*a
{ "pile_set_name": "DM Mathematics" }
r -2*w**3 - 113544*w**2 + 151316790*w - 49837260100. -2*(w - 655)**2*(w + 58082) Let 3*x**3/5 - 3454509*x**2/5 = 0. Calculate x. 0, 1151503 Let 5*k**5 + 65*k**4 - 495*k**3 - 585*k**2 + 4050*k = 0. What is k? -18, -3, 0, 3, 5 Suppose 2*j**3/5 - 6466*j**2 + 120934336*j/5 + 79966750208/5 = 0. What is j? -571, 8368 Let -4*w**5/5 + 1472*w**4/5 - 164024*w**3/5 + 5121088*w**2/5 - 28305732*w/5 = 0. What is w? 0, 7, 39, 161 Solve 2*s**2/7 + 66380444*s/7 + 550795418204642/7 = 0 for s. -16595111 Factor -f**4 + 2697*f**3 - 32255*f**2 + 93975*f. -f*(f - 2685)*(f - 7)*(f - 5) Factor -3*l**3/2 - 3255*l**2 - 1884000*l - 328800000. -3*(l + 400)**2*(l + 1370)/2 Let 2*s**3/3 + 182*s**2 + 1360*s/3 - 23400 = 0. Calculate s. -270, -13, 10 Factor -3*g**3/4 + 948795*g**2/2 - 300097215171*g/4 + 2100308595021. -3*(g - 316251)**2*(g - 28)/4 Find o such that -2*o**4/7 + 23636*o**3/7 + 1185550*o**2/7 + 14835000*o/7 = 0. -25, 0, 11868 Factor 3*k**2 + 98088002*k + 65392000. (k + 32696000)*(3*k + 2) What is s in -5*s**3 + 184452645*s**2 - 368905275*s + 184452635 = 0? 1, 36890527 Factor 5*r**2 + 1510998750*r + 114155861125078125. 5*(r + 151099875)**2 Factor 3*n**2 - 917970*n - 75293712. 3*(n - 306072)*(n + 82) Factor 32*o**2 + 22858028*o - 14286280. 4*(o + 714314)*(8*o - 5) Determine v, given that -v**2/3 + 4467*v - 7174770 = 0. 1866, 11535 Solve 4*k**2 + 1140918104*k + 81355882502184676 = 0 for k. -142614763 Factor 5*a**4 + 700*a**3 - 4740*a**2 - 52560*a. 5*a*(a - 12)*(a + 6)*(a + 146) Find m, given that 9*m**4 + 847443*m**3 - 3954999*m**2 - 6497403*m - 1694970 = 0. -94165, -1, -1/3, 6 Determine o, given that -o**2 - 1661910*o = 0. -1661910, 0 Determine g, given that -4*g**3 - 865052*g**2 - 262698560*g - 19958066944 = 0. -215959, -152 Determine s, given that 2*s**3/13 - 10416*s**2/13 - 20840*s/13 = 0. -2, 0, 5210 Factor 5*n**4 - 22560*n**3 + 12379160*n**2 + 29482581120*n + 8539310749520. 5*(n - 2734)**2*(n + 478)**2 What is n in 3*n**5 - 46962*n**4 - 1081443*n**3 - 4236090*n**2 + 51713100*n + 329217000 = 0? -10, 7, 15677 Suppose 4*o**5 - 760836*o**4 + 48240045728*o**3 - 1019601603294624*o**2 + 3058467140976192*o - 2038913776966464 = 0. Calculate o. 1, 2, 63402 Factor c**2 + 21354*c - 25548640. (c - 1136)*(c + 22490) Solve j**5 + 140*j**4 + 5367*j**3 + 36856*j**2 + 83132*j + 51504 = 0 for j. -74, -58, -4, -3, -1 Factor -3*d**2/5 + 386043768*d/5 - 12419149234303152/5. -3*(d - 64340628)**2/5 What is v in -2*v**2/7 - 36865344*v/7 - 169881698529792/7 = 0? -9216336 Suppose 22*i**5/3 - 175322*i**4/9 - 632822*i**3/9 - 686182*i**2/9 - 260668*i/9 - 10640/3 = 0. What is i? -2, -1, -1/3, -3/11, 2660 Factor o**4 + 7953*o**3 + 474537*o**2 + 7555283*o + 13276026. (o + 2)*(o + 29)**2*(o + 7893) What is f in -2*f**5 + 19190*f**4 - 46403688*f**3 + 1778314432*f**2 + 5660057024*f + 3835319712 = 0? -2, -1, 42, 4778 Solve 2*q**2 + 39890*q + 1035788 = 0 for q. -19919, -26 Solve 3*f**5 - 4569*f**4 + 602718*f**3 - 9622146*f**2 - 23554881*f + 32578875 = 0 for f. -3, 1, 21, 125, 1379 Factor -656658*q**4 - 10827408*q**3 - 44632352*q**2. -2*q**2*(573*q + 4724)**2 Factor 117948*x**2 + 6251241*x - 159. 3*(x + 53)*(39316*x - 1) Find m such that 10*m**2 - 5117*m/3 - 12629/3 = 0. -73/30, 173 Determine n so that 4*n**4 - 6776*n**3 + 2923328*n**2 - 45473800*n + 177388092 = 0. 7, 9, 839 What is q in -2*q**2/11 - 9614938*q/11 - 259601868/11 = 0? -4807442, -27 Find p, given that -p**2/2 + 6913542*p + 13827085/2 = 0. -1, 13827085 Suppose -2*m**5 - 1242*m**4 - 4748*m**3 + 116388*m**2 + 242062*m + 122166 = 0. What is m? -617, -11, -1, 9 Solve -p**2 + 4720814*p + 61370751 = 0 for p. -13, 4720827 Solve -976*x**3 + 177628*x**2 - 4684072*x - 19200 = 0. -1/244, 32, 150 Solve 2*m**2 + 4461300*m + 8922592 = 0 for m. -2230648, -2 Factor 4*p**3 + 274248*p**2 + 28205108*p. 4*p*(p + 103)*(p + 68459) Let -4*f**5 + 120*f**4 + 2996*f**3 - 108888*f**2 + 289328*f + 6116448 = 0. What is f? -29, -6, 13, 26 Factor -5*d**4 - 33942710*d**3 - 67885400*d**2. -5*d**2*(d + 2)*(d + 6788540) Suppose 4*b**3/5 - 18399524*b**2/5 + 4231768163136*b + 148112787287808/5 = 0. Calculate b. -7, 2299944 Let f**2/11 - 67147*f/11 + 2550142/11 = 0. Calculate f. 38, 67109 Find s such that -4*s**2 + 22934704*s + 22934708 = 0. -1, 5733677 Find q, given that 30*q**4 - 10535*q**3 - 818325*q**2 + 398759880*q - 66437200 = 0. -185, 1/6, 268 Factor 4*r**2/7 + 7880*r/7 + 445788. 4*(r + 549)*(r + 1421)/7 Factor u**2 - 157054*u - 2670207. (u - 157071)*(u + 17) Let 3*c**4/2 + 1587*c**3/2 - 44697*c**2/2 - 779403*c/2 + 411255 = 0. Calculate c. -555, -13, 1, 38 Suppose 4*g**2 + 201962504*g + 201962500 = 0. Calculate g. -50490625, -1 Suppose 2*x**4/9 + 47338*x**3/9 + 115622*x**2 + 3072758*x/9 - 31970744/9 = 0. Calculate x. -23647, -13, 4 Find x such that -3*x**3/2 - 346173*x**2/2 - 9985100445*x/2 + 69912666621/2 = 0. -57699, 7 Factor -4*g**2 - 551236*g - 8267640. -4*(g + 15)*(g + 137794) Find k such that k**3 + 3216839*k**2 - 90072080*k + 630505932 = 0. -3216867, 14 Determine n, given that -2*n**5 - 578*n**4 + 8523332*n**3 + 1207689092*n**2 - 9174483825858*n + 64159287934014 = 0. -1539, 7, 1391 Determine r so that -4*r**5 - 596*r**4 - 24200*r**3 - 167200*r**2 + 192000*r = 0. -80, -60, -10, 0, 1 Factor 351*t**3 - 1043*t**2 - 30918*t - 880. (t - 11)*(t + 8)*(351*t + 10) Factor 18*o**3/5 - 5283642*o**2/5 - 3522458*o - 2935390. 2*(o - 293539)*(3*o + 5)**2/5 Find u, given that -2*u**2/3 + 559270*u + 3355628/3 = 0. -2, 838907 What is z in -3*z**5/2 + 2048223*z**4/2 - 349532832705*z**3/2 - 23425529007963*z**2/2 - 201933352164852*z - 190395355101336 = 0? -33, -1, 341404 Find y, given that -1824*y**3 - 52704*y**2 - 123210*y - 75225 = 0. -1003/38, -5/4 Find a such that 81*a**4 - 21835368*a**3 - 33966392*a**2 + 18331040*a - 2156592 = 0. -2, 2/9, 269574 Let -12*f**3/5 - 36562*f**2/5 + 245168*f = 0. What is f? -3080, 0, 199/6 Suppose 3*u**2 - 1254*u - 2424744 = 0. Calculate u. -714, 1132 Solve 3*p**2/8 - 9276051*p/4 + 28681707384867/8 = 0. 3092017 Let -2*u**4/19 + 2548*u**3/19 + 46896*u**2/19 - 496960*u/19 + 56576 = 0. What is u? -26, 4, 1292 Factor -15476954*w**2/3 - 2*w. -2*w*(7738477*w + 3)/3 Factor 2*v**2/9 - 2106364*v/9 + 468080. 2*(v - 1053180)*(v - 2)/9 Determine b, given that 2*b**2/7 - 14796*b/7 - 9186048/7 = 0. -576, 7974 Find b such that b**4 + 4293*b**3 + 123880*b**2 + 955332*b + 835744 = 0. -4264, -14, -1 Determine k so that 4*k**5 - 4416*k**4 - 183984*k**3 + 1070528*k**2 + 10813440*k - 57987072 = 0. -44, -8, 6, 1144 Suppose -n**2/5 - 54802*n/5 - 6096576 = 0. What is n? -54240, -562 Solve -2*n**4/3 - 1436*n**3/3 + 68888*n**2/3 - 1062544*n/3 + 1796928 = 0 for n. -764, 14, 18 Let -2*r**5/7 + 790*r**4/7 - 1564*r**3/7 - 3160*r**2/7 + 6288*r/7 = 0. What is r? -2, 0, 2, 393 Find q, given that q**5/2 - 10499*q**4/2 + 52419*q**3 + 272686*q**2 + 293692*q = 0. -2, 0, 14, 10489 Solve 4*u**3 + 9247716*u**2 - 55486404*u + 83229660 = 0 for u. -2311935, 3 Suppose w**3/3 - 451352*w**2/3 + 3911508*w - 7221216 = 0. What is w? 2, 24, 451326 Determine f so that -2*f**5 + 496*f**4 - 28184*f**3 + 321828*f**2 - 940518*f + 646380 = 0. 1, 3, 10, 63, 171 Suppose -z**2/3 - 5618*z/3 + 858248 = 0. What is z? -6044, 426 What is q in 4*q**2 + 7046180*q - 98647304 = 0? -1761559, 14 Factor -3*n**2 + 2533984128*n - 535089630079660032. -3*(n - 422330688)**2 Determine a, given that -a**4/10 + 1929*a**3/2 - 101052*a**2/5 = 0. 0, 21, 9624 Factor x**3/2 + 190*x**2 - 328677*x/2 + 1463292. (x - 408)*(x - 9)*(x + 797)/2 Let 2*d**4/7 + 1660*d**3/7 + 338418*d**2/7 + 671864*d/7 + 47872 = 0. What is d? -476, -352, -1 What is f in 2*f**4/3 - 272584*f**3 + 8994770*f**2 - 274744456*f/3 + 267110760 = 0? 5, 14, 408843 Find g such that -g**5/4 - 553*g**4/4 + 3911*g**3/4 - 5047*g**2/4 - 1955*g/2 + 1400 = 0. -560, -1, 1, 2, 5 Let s**5/3 + 1444*s**4 + 12959*s**3/3 - 40404*s**2 = 0. Calculate s. -4329, -7, 0, 4 Suppose 9*s**2 - 24084893*s + 5352198 = 0. What is s? 2/9, 2676099 Factor 3*v**2/5 + 996801*v/5 + 2990376/5. 3*(v + 3)*(v + 332264)/5 Factor v**2/12 + 117923247*v/2 + 41717676549069027/4. (v + 353769741)**2/12 Suppose -2*w**3/3 + 3995846*w**2/3 - 11987524*w/3 + 7991680/3 = 0. Calculate w. 1, 2, 1997920 Determine j so that -2*j**2/9 - 46832*j/3 - 6177952/9 = 0. -70204, -44 Factor 20*t**3 + 3796*t**2 - 2356024*t. 4*t*
{ "pile_set_name": "DM Mathematics" }
(y). Calculate l(n(u)). -2*u**2 Let t(a) = -7*a + 5. Let r(s) = -3*s + 2. Let i(v) = 5*r(v) - 2*t(v). Let f(w) = -14*w**2 + 29*w**2 - 5*w**2 - 11*w**2. What is i(f(x))? x**2 Let v(x) = -5*x**2 + 5*x + 5. Let t(u) = 5*u**2 - 4*u - 4. Let z(b) = 5*t(b) + 4*v(b). Let c(y) = y**2 + 2*y**2 - y**2. What is z(c(o))? 20*o**4 Let k(j) = -2*j. Let i be ((-4)/4)/(4/24). Let y(g) = -4*g**2 + 6*g + 6. Let h(n) = -12*n**2 + 17*n + 17. Let v(w) = i*h(w) + 17*y(w). Give v(k(p)). 16*p**2 Let c(j) = -2*j**2. Suppose -d = 4*l - 23, -5*d + 30 = 6*l - 3*l. Let x = -4 + 6. Let n(g) = -g**x + 3 - d + 0*g**2. What is c(n(v))? -2*v**4 Let f(n) = 2*n. Let a(q) = -22*q - 2. Determine a(f(g)). -44*g - 2 Let s(o) = -3*o**2. Let c(g) be the first derivative of -2*g**3/3 + 15. Calculate c(s(a)). -18*a**4 Let n(f) = 2*f**2. Suppose 4*s - 5*a - 197 = 0, 0*a = -3*a - 15. Let w(q) = -s + 43 - q. Give n(w(z)). 2*z**2 Let j(z) = 18 + z - 9 - 9. Let w(r) = -1 - 3*r + 1. What is j(w(g))? -3*g Let t(o) = -o**2 + 5*o + 5. Let s(x) = 4*x**2 - 16*x - 16. Let c(i) = -5*s(i) - 16*t(i). Let b(y) = -y**2. Calculate c(b(h)). -4*h**4 Let t(w) = 14*w. Let s(c) be the third derivative of -c**5/30 - 5*c**2. Calculate t(s(f)). -28*f**2 Let y(v) = -2*v + 54. Let k(x) = 198*x. Determine y(k(z)). -396*z + 54 Suppose 0 = -3*r + 6 - 0. Let o(t) = -6*t**2 + 0*t**2 + 9*t**r. Let p(f) = -f**2. What is p(o(b))? -9*b**4 Let i(x) = x. Suppose 4*p + 47 = 2*u + 3*u, 0 = u - 2*p - 13. Let j = u + -3. Let c(o) = o - j*o - o. Determine i(c(h)). -4*h Let a(z) = z**2. Let v(m) = -15*m**2 - 10. Let c(b) = -b**2 - 1. Let h(f) = -10*c(f) + v(f). Let r(y) = -9*a(y) - 2*h(y). Let i(x) = -10*x**2. What is r(i(k))? 100*k**4 Let w(p) = -2*p. Let g(u) be the second derivative of -u**4/24 - u**2 - 3*u. Let c(j) be the first derivative of g(j). Calculate w(c(i)). 2*i Let b be 0*((-7)/49)/((-2)/(-7)). Let y(p) be the first derivative of -2/3*p**3 + b*p + 0*p**2 - 3. Let q(v) = -2*v**2. Determine y(q(r)). -8*r**4 Let k(m) = -3 + m**2 + 3 + 0*m**2. Let v(c) be the third derivative of 0 + 2*c**2 + 0*c + 0*c**4 + 1/30*c**5 + 0*c**3. Determine k(v(t)). 4*t**4 Let q(p) = 8*p. Let v(r) be the third derivative of r**4/12 + 4*r**2. What is q(v(l))? 16*l Let l(v) = 3*v + 2. Let b(m) = 2*m**2. Determine l(b(p)). 6*p**2 + 2 Let g(r) be the third derivative of 0*r**3 + 0*r - 3*r**2 + 0 + 1/12*r**4. Let j(x) be the second derivative of -x**4/6 - x. Give g(j(m)). -4*m**2 Let w(x) = 8*x - 32. Let a(i) = -2. Let h(l) = -16*a(l) + w(l). Let d(o) be the third derivative of o**5/30 + o**2. What is h(d(p))? 16*p**2 Let v(w) = -11*w**2. Let q(c) = -845*c. Determine v(q(k)). -7854275*k**2 Let h(r) be the second derivative of r**3/3 + 14*r. Let b(g) = -31*g. Calculate b(h(q)). -62*q Let j(f) = f**2 - 1. Let s(m) be the first derivative of 2*m**3 - 5*m - 1. Let z(d) = 5*j(d) - s(d). Let x(k) = -3*k**2 - k**2 + k**2. What is x(z(p))? -3*p**4 Let g(j) be the third derivative of -j**4/24 - j**2. Let s(d) = -59*d + 124*d - 68*d. What is s(g(p))? 3*p Let n(u) = -14*u**2 + 9. Let s(r) = r**2 - 1. Let a(b) = 2*n(b) + 18*s(b). Let t(j) = 2*j**2. Calculate t(a(k)). 200*k**4 Let r(f) be the third derivative of -23*f**5/60 - 3*f**2. Let n(o) = 2*o. What is n(r(b))? -46*b**2 Let d(c) = c. Let o(l) be the first derivative of -3*l**2/2 + 17. What is o(d(j))? -3*j Let f(d) = -2*d**2 + 2*d**2 + 2*d**2. Suppose -4*m + 8 + 16 = 0. Let v(x) = 3*x**2 + 2*x**2 - m*x**2. What is f(v(c))? 2*c**4 Suppose -2*l - l + 6 = 0. Let p(x) = -3*x**l - 3*x**2 + 4*x**2. Let k(q) = -q. Determine k(p(f)). 2*f**2 Let z(c) = c**2. Let a(t) = 2*t + 193. Give a(z(u)). 2*u**2 + 193 Let x(r) = r**2. Let j be (3 - (-3 - -3)) + -1. Let n(b) = -2*b + 3*b + j*b - 4*b. Determine x(n(o)). o**2 Let m(k) = -36*k**2 - 2*k. Let h(y) = y**2 - 41 + 88 - 47. Determine m(h(n)). -36*n**4 - 2*n**2 Let x(l) = -27*l. Let m(w) = 201*w. What is m(x(q))? -5427*q Let a(p) = p + 0*p - p + 2*p. Let l(i) be the second derivative of i**5/30 - i**2 + i. Let f(j) be the first derivative of l(j). Determine a(f(q)). 4*q**2 Let m(i) = -21*i**2 + 14*i. Let h(d) = -4*d**2 + 3*d. Let x(b) = -14*h(b) + 3*m(b). Let u(r) = -2*r. Give x(u(t)). -28*t**2 Let o(r) = 15*r - 15*r - 2*r**2. Let h(p) = -2*p - 6. Let q(v) = 2*v + 5. Let s(w) = 5*h(w) + 6*q(w). What is o(s(z))? -8*z**2 Let z = -9 + 11. Let n(w) = z*w - 2*w + 12*w**2 + 0*w. Let k(g) = g**2. Calculate n(k(h)). 12*h**4 Let v(u) be the first derivative of 3*u + u + 2 + 2*u**2 - 4*u. Let l(j) = -j**2. Determine l(v(a)). -16*a**2 Let t(u) be the second derivative of -u**3/6 - 7*u. Let n(g) = 8*g**2. What is n(t(a))? 8*a**2 Let l(h) = 2*h. Let a(c) = -609*c**2. Determine l(a(p)). -1218*p**2 Let y(l) = 157*l. Let b(s) = -4*s. Determine y(b(c)). -628*c Let h(c) = -105*c**2. Let x(m) = 22*m**2. What is h(x(p))? -50820*p**4 Let c(b) = -3*b**2. Let a(m) = 0*m**2 - m**2 - 2*m**2 + 7*m**2. Calculate c(a(y)). -48*y**4 Let s(h) = h. Let x(t) = 3330 - 3330 - 11*t**2. Calculate s(x(v)). -11*v**2 Let n(d) be the second derivative of 0*d**2 - 5*d + 0 - 1/12*d**4 + 0*d**3. Let u(o) = o**2. Calculate u(n(l)). l**4 Let m(n) be the second derivative of -n**4/3 - 5*n. Let y(g) = 2*g. Calculate y(m(c)). -8*c**2 Let t be 52/6 - (-2)/(-3). Suppose -3*d + t*d = 15. Let f(r) = -r**2 - d*r + 3*r. Let z(u) = u. Determine f(z(y)). -y**2 Let o(u) = -u + 7*u + u + u. Let a(j) = -2*j. Calculate a(o(i)). -16*i Suppose 0 = -4*d - 8 - 16. Let n = d - -8. Let t(q) = 2*q**n - 4*q + 4*q. Let j(f) = -2*f. What is t(j(h))? 8*h**2 Let v(g) = 8*g + 7. Let p(x) = -3*x - 2. Suppose 0 = 5*s + 3*r - 38, -3*r + 0 + 17 = 2*s. Let k(o) = s*p(o) + 2*v(o). Let j(f) = 2*f. Calculate k(j(z)). -10*z Let b(h) = -8*h**2. Let c(k) = 4*k - 11. Let s be c(4). Let x(g) be the first derivative of 0*g + 1/3*g**3 + 0*g**2 - s. Determine b(x(m)). -8*m**4 Let h(v) = -14*v**2. Let d(o) be the second derivative of 0*o**3 + 0 + 2*o + 0*o**2 - 5/12*o**4. Let u(t) = 11*d(t) - 4*h(t). Let x(z) = -3*z. Give u(x(f)). 9*f**2 Let k(s) = 18*s**2. Let d(h) = -18*h. Calculate k(d(v)). 5832*v**2 Let o(p) = -3*p**2. Let a(t) be the second derivative of 11*t**4/12 - 34*t. Calculate o(a(r)). -363*r**4 Let j(h) = -h. Let s(u) = -94*u + 1. Determine j(s(v)). 94*v - 1 Let v(g) = -6*g. Let s(y) = -y. Let q(d) = -d. Let i(f) = q(f) - 4*s(f). What is v(i(l))? -18*l Let m(z) = -9*z. Let i(p) = -11*p. Give m(i(g)). 99*g Let m(x) = 17*x. Let g(f) be the third derivative of f**5/30 + 27*f**2. Calculate m(g(b)). 34*b**2 Let f(v) be the second derivative of v**3/6 - 23*v. Let r(j) = -2*j - 2*j + 2*j + 0*j. Determine r(f(z)). -2*z Let z(p) = p. Let j(r) = -858*r**2. Let a(v) = 49*v**2. Let q(d) = -88*a(d) - 5*j(d). Calculate q(z(f)). -22*f**2 Let f(z) be the first derivative of 0*z - 2/3*z**3 - 2 + 0*z**2. Let w(m) = -10*m**2 + 7. Let l(r) = 7*r**2 - 5. Let t(p) = -7*l(p) - 5*w(p). What is t(f(y))? 4*y**4 Let v be 3 + (-2 - -1)*-1. Let d(z) = -2*z + v*z + z - z. Let s(y) = 11*y. Determine d(s(h)). 22*h Let m(w) be the first derivative of 1/24*w**4 + 0*w - 1 - 3/2*w**2 + 0*w**3. Let n(c) be the second derivative of m(c). Let f(p) = 6*p. What is n(f(i))? 6*i Let h(c) = 47*c**2 + 3 - 48*c**2 - 3. Let v(y) = 0*y - 4*y**2 + y - y. Calculate v(h(g)). -4*g**4 Let a(z) = 2*z**2. Let y(s) be the first derivative of -s**2 - 2. What is y(a(g))? -4*g**2 Let n(q) = 15*q**2. Let x(h) = -7 + 0 + 7 + 2*h**2. Give n(x(k)). 60*k**4 Suppose 0 = -5*r + 4 + 1. Let u(c) be the first derivative of -r - 37*c + c**2 + 37*c. Let a(q) = -q**2. Calculate a(u(f)). -4*f**2 Suppose v = -v + 10. Let a(q) = v*q - 8*q + 5*q. Let f(z) = -5*z. Calculate f(a(g)). -10*g Let g(h) = h**2 + 54*h. Let m(c) = 4*c. Determine g(m(t)). 16*t**2 + 216*t Let d = -7 - -7. Let m(s) = -3*s + d*s + s. Let p(t) = 2*t**2. Give p(m(y)). 8*y**2 Let n(h) be the first derivative of -4*h**3/3 + 9*h - 29. Let f(o) = 2*o**2. What is f(n(b))? 32*b**4 - 144*b**2 + 162 Let h(d) = -2*d. Let q(x) be the second derivative of x**3/2 - 7*x. Give h(q(a)). -6*a Let v(c) = 4*c**2. Let d(b) = -61*b - 17. Let x(f) = 20*f + 6. Let n(m) = 6*d(m) + 17*x(m). Calculate v(n(a)). 2704*a**2 Let j(p) be the third derivative of -1/6*p**4 + 0 + 0*p + 0*p**3 + 4*p**2. Let i(o) = o**2. Determine i(j(u)). 16*u**2 Let g(a) = 1 + 6*a**2 - 5*a**2 - 1. L
{ "pile_set_name": "DM Mathematics" }
of 1582, 2787, 4010, 5251? 9*r**2 + 1178*r + 395 What is the n'th term of -23283, -46566, -69847, -93126, -116403? n**2 - 23286*n + 2 What is the p'th term of 356120, 712227, 1068334, 1424441, 1780548? 356107*p + 13 What is the q'th term of -151967, -152504, -153043, -153584, -154127, -154672? -q**2 - 534*q - 151432 What is the n'th term of 749, 1454, 2203, 3020, 3929, 4954, 6119, 7448? 4*n**3 - 2*n**2 + 683*n + 64 What is the t'th term of 5692, 12879, 20066, 27253, 34440? 7187*t - 1495 What is the c'th term of -9211196, -18422388, -27633580, -36844772? -9211192*c - 4 What is the j'th term of -4736, -9727, -14974, -20471, -26212? j**3 - 134*j**2 - 4596*j - 7 What is the r'th term of -37697, -39040, -41275, -44396, -48397, -53272, -59015, -65620? r**3 - 452*r**2 + 6*r - 37252 What is the z'th term of 7978, 7675, 7418, 7207, 7042, 6923, 6850? 23*z**2 - 372*z + 8327 What is the q'th term of -19906, -40319, -60732, -81145? -20413*q + 507 What is the s'th term of -394622, -395108, -395594? -486*s - 394136 What is the p'th term of -49338, -98846, -148356, -197874, -247406, -296958, -346536, -396146? -p**3 + 5*p**2 - 49516*p + 174 What is the w'th term of 45, -1060, -2903, -5478, -8779, -12800? w**3 - 375*w**2 + 13*w + 406 What is the y'th term of 1246, 3397, 6990, 12031, 18526, 26481? y**3 + 715*y**2 - y + 531 What is the k'th term of 27158327, 27158325, 27158323, 27158321, 27158319, 27158317? -2*k + 27158329 What is the v'th term of 693, 869, 1085, 1341, 1637, 1973, 2349? 20*v**2 + 116*v + 557 What is the p'th term of 3099231, 3099226, 3099219, 3099210, 3099199, 3099186? -p**2 - 2*p + 3099234 What is the d'th term of -2002, -8237, -18628, -33175, -51878, -74737? -2078*d**2 - d + 77 What is the w'th term of 4980, 14480, 30306, 52452, 80912, 115680, 156750? -w**3 + 3169*w**2 + 1812 What is the d'th term of -178117, -356491, -534865, -713239? -178374*d + 257 What is the o'th term of 13195, 13307, 13493, 13753? 37*o**2 + o + 13157 What is the c'th term of -71, -162, 157, 1270, 3561, 7414, 13213, 21342? 64*c**3 - 179*c**2 - 2*c + 46 What is the a'th term of 6813547, 6813558, 6813569? 11*a + 6813536 What is the p'th term of 23947, 22757, 21569, 20383, 19199, 18017? p**2 - 1193*p + 25139 What is the z'th term of -254068061, -254068059, -254068057, -254068055, -254068053? 2*z - 254068063 What is the b'th term of -7513, -7738, -7957, -8170? 3*b**2 - 234*b - 7282 What is the s'th term of -612, -610, -588, -546, -484, -402? 10*s**2 - 28*s - 594 What is the n'th term of 74535, 74982, 75731, 76782, 78135, 79790, 81747? 151*n**2 - 6*n + 74390 What is the w'th term of 11168, 10508, 9412, 7880, 5912, 3508, 668? -218*w**2 - 6*w + 11392 What is the x'th term of -2197697, -4395632, -6593567? -2197935*x + 238 What is the a'th term of 85819, 687331, 2320243, 5500255, 10743067, 18564379? 85950*a**3 - 138*a + 7 What is the p'th term of 329, 263, 113, -163, -607, -1261, -2167? -7*p**3 - 17*p + 353 What is the c'th term of 1825733, 1825726, 1825719, 1825712, 1825705? -7*c + 1825740 What is the o'th term of -943588, -943581, -943574, -943567, -943560, -943553? 7*o - 943595 What is the d'th term of 67993, 137793, 207593? 69800*d - 1807 What is the z'th term of 16133, 16193, 16251, 16307? -z**2 + 63*z + 16071 What is the u'th term of 36, -391, -1094, -2073? -138*u**2 - 13*u + 187 What is the j'th term of 581, 999, 1395, 1763, 2097, 2391, 2639? -j**3 - 5*j**2 + 440*j + 147 What is the p'th term of -13767, -13925, -14371, -15249, -16703? -24*p**3 + 10*p - 13753 What is the f'th term of -202, 352, 1140, 2168, 3442? f**3 + 111*f**2 + 214*f - 528 What is the u'th term of -1593150, -3185994, -4778840, -6371688, -7964538, -9557390, -11150244? -u**2 - 1592841*u - 308 What is the i'th term of -402845305, -402845304, -402845301, -402845296, -402845289, -402845280? i**2 - 2*i - 402845304 What is the f'th term of -11527, -21423, -31319, -41215, -51111? -9896*f - 1631 What is the t'th term of 1959, 4345, 7155, 10389? 212*t**2 + 1750*t - 3 What is the z'th term of 7733, 8133, 8799, 9731, 10929? 133*z**2 + z + 7599 What is the i'th term of 11920, 38062, 78424, 133000, 201784? -i**3 + 7116*i**2 + 4801*i + 4 What is the q'th term of -9300, -9280, -9240, -9180, -9100, -9000? 10*q**2 - 10*q - 9300 What is the u'th term of -1164044488, -1164044487, -1164044486? u - 1164044489 What is the f'th term of -79400, -158868, -238348, -317846, -397368, -476920, -556508? -f**3 - 79461*f + 62 What is the n'th term of -6536, -32340, -77416, -141764? -9636*n**2 + 3104*n - 4 What is the j'th term of 1463499, 1463421, 1463289, 1463103? -27*j**2 + 3*j + 1463523 What is the y'th term of -92644054, -370576215, -833796484, -1482304861, -2316101346? -92644054*y**2 + y - 1 What is the y'th term of -376492, -376527, -376562, -376597, -376632, -376667? -35*y - 376457 What is the f'th term of -7343, -8483, -9613, -10727, -11819, -12883, -13913, -14903? f**3 - f**2 - 1144*f - 6199 What is the b'th term of -30662828, -30662827, -30662826, -30662825, -30662824, -30662823? b - 30662829 What is the p'th term of -482, -953, -1414, -1865? 5*p**2 - 486*p - 1 What is the t'th term of 2828509, 5657010, 8485513, 11314018? t**2 + 2828498*t + 10 What is the s'th term of -57446713, -57446723, -57446737, -57446755, -57446777, -57446803, -57446833? -2*s**2 - 4*s - 57446707 What is the v'th term of 4872, 4792, 4670, 4500, 4276? -v**3 - 15*v**2 - 28*v + 4916 What is the g'th term of 524932464, 524932462, 524932460, 524932458, 524932456, 524932454? -2*g + 524932466 What is the i'th term of -7728, -8914, -10116, -11340, -12592, -13878, -15204, -16576? -i**3 - 2*i**2 - 1173*i - 6552 What is the f'th term of 10513284, 10513270, 10513256? -14*f + 10513298 What is the s'th term of -38327263, -76654544, -114981825, -153309106, -191636387, -229963668? -38327281*s + 18 What is the g'th term of 153469, 306744, 459825, 612712, 765405, 917904? -97*g**2 + 153566*g What is the a'th term of -262, -1071, -2470, -4501, -7206, -10627, -14806, -19785? -7*a**3 - 253*a**2 - a - 1 What is the s'th term of -9615786, -9615790, -9615794, -9615798, -9615802? -4*s - 9615782 What is the p'th term of -45808, -91661, -137556, -183493? -21*p**2 - 45790*p + 3 What is the c'th term of 894, 153, -564, -1251, -1902, -2511, -3072, -3579? c**3 + 6*c**2 - 766*c + 1653 What is the j'th term of 857, 1444, 2017, 2564, 3073, 3532? -2*j**3 + 5*j**2 + 586*j + 268 What is the f'th term of -11860, -48653, -110408, -197125, -308804, -445445? -12481*f**2 + 650*f - 29 What is the v'th term of 19877388, 19877390, 19877392, 19877394, 19877396, 19877398? 2*v + 19877386 What is the o'th term of 1417509, 5670022, 12757543, 22680072, 35437609, 51030154, 69457707? 1417504*o**2 + o + 4 What is the v'th term of 124425, 248822, 373219, 497616, 622013, 746410? 124397*v + 28 What is the g'th term of 103297301, 206594594, 309891877, 413189144, 516486389? -g**3 + g**2 + 103297297*g + 4 What is the b'th term of 25614, 47467, 69310, 91137, 112942, 134719? -b**3 + b**2 + 21857*b + 3757 What is the l'th term of -24241, -92011, -204961, -363091? -22590*l**2 - 1651 What is the l'th term of -4177181, -16708750, -37594703, -66835040? -4177192*l**2 + 7*l + 4 What is the v'th term of 2826495, 2826540, 2826585, 2826630, 2826675, 2826720? 45*v + 2826450 What is the f'th term of -464693, -929388, -1394097, -1858826, -2323581, -2788368? -f**3 - f**2 - 464685*f - 6 What is the a'th term of 38730077, 38730079, 38730081, 38730083? 2*a + 38730075 What is the b'th term of 31207, 31234, 31281, 31348, 31435, 31542, 31669? 10*b**2 - 3*b + 31200 What is the n'th term of 8280045, 8280008, 8279939, 8279832, 8279681, 8279480? -n**3 - 10*n**2 + 8280056 What is the c'th term of -412240, -412277, -412314? -37*c - 412203 What is the y'th term of 7567, 16152, 25733, 36310, 47883, 60452, 74017? 498*y**2 + 7091*y - 22 What is the p'th term of 28011, 32108, 38937, 48498, 60791, 75816? 1366*p**2 - p + 26646 What is the p'th term of 366601, 733215, 1099829? 366614*p - 13 What is the j'th term of 8531, 8242, 7953? -289*j + 8820 What is the n'th term of -459740, -919468, -1379196, -1838924, -2298652, -2758380? -459728*n - 12 What is the g'th term of -40589394, -81178790, -121768186, -162357582, -202946978? -40589396*g + 2 What is
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 o and 3 g when four letters picked without replacement from {o: 3, g: 5}. 3/7 Three letters picked without replacement from mkskakfkstsf. Give prob of picking 2 s and 1 a. 3/220 Three letters picked without replacement from uccmmzmmicczuccuzcz. What is prob of picking 1 c, 1 i, and 1 z? 28/969 What is prob of picking 1 x, 1 c, and 1 u when three letters picked without replacement from {c: 2, x: 1, u: 1, a: 2}? 1/10 What is prob of picking 2 p when two letters picked without replacement from {p: 3, v: 2, o: 3, y: 6, s: 1}? 1/35 Two letters picked without replacement from {i: 1, l: 7, a: 7, t: 1}. Give prob of picking 1 a and 1 t. 7/120 Two letters picked without replacement from iivccvlvpppplvpvpipl. Give prob of picking 1 v and 1 i. 3/38 What is prob of picking 1 e, 1 q, and 2 x when four letters picked without replacement from {q: 2, c: 3, e: 2, j: 1, x: 6, y: 1}? 4/91 What is prob of picking 2 a, 1 r, and 1 l when four letters picked without replacement from {a: 4, l: 2, r: 3}? 2/7 Three letters picked without replacement from {e: 4, v: 2}. Give prob of picking 2 e and 1 v. 3/5 What is prob of picking 1 a and 2 w when three letters picked without replacement from {k: 3, a: 3, h: 1, w: 8, v: 4}? 28/323 Calculate prob of picking 2 z when two letters picked without replacement from ttzzxzztat. 2/15 Three letters picked without replacement from oooeooooooooo. What is prob of picking 3 o? 10/13 Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, z: 14}. 1/204 Three letters picked without replacement from ddiddwmmmzywmdwyzdwy. What is prob of picking 1 i, 1 d, and 1 y? 3/190 Two letters picked without replacement from {q: 1, d: 9, c: 5, p: 1, k: 1, e: 1}. Give prob of picking 1 k and 1 e. 1/153 Four letters picked without replacement from aafafa. Give prob of picking 2 f and 2 a. 2/5 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 4, c: 10, o: 2}. 1/15 Calculate prob of picking 1 o and 1 f when two letters picked without replacement from lioimeommmllllf. 2/105 What is prob of picking 1 f, 1 h, and 1 a when three letters picked without replacement from {w: 3, h: 1, a: 1, f: 1, m: 1}? 1/35 Two letters picked without replacement from xxcxxxoxxxxoxxxxoc. What is prob of picking 1 o and 1 x? 13/51 Four letters picked without replacement from plyplpjap. What is prob of picking 1 l, 2 a, and 1 p? 0 Two letters picked without replacement from bbbbyqywqbqbqyybqqqb. Give prob of picking 2 y. 3/95 Three letters picked without replacement from liiiiiiliil. Give prob of picking 1 i and 2 l. 8/55 Three letters picked without replacement from kuppufpzpzzzuzppz. What is prob of picking 1 z and 2 u? 9/340 What is prob of picking 4 a when four letters picked without replacement from {n: 3, a: 12}? 33/91 What is prob of picking 2 m when two letters picked without replacement from bmmbmmb? 2/7 Calculate prob of picking 2 u when two letters picked without replacement from {a: 13, u: 1, z: 1, x: 2}. 0 What is prob of picking 2 k, 1 w, and 1 x when four letters picked without replacement from wkkwwxkkrxkwkxxxmwr? 125/1292 Calculate prob of picking 1 h, 2 v, and 1 e when four letters picked without replacement from {v: 2, a: 4, e: 2, h: 1}. 1/63 Two letters picked without replacement from {f: 3, m: 4, z: 13}. What is prob of picking 1 z and 1 f? 39/190 Three letters picked without replacement from {f: 2, r: 6, q: 10}. What is prob of picking 2 r and 1 q? 25/136 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {r: 1, a: 1, s: 1, w: 1, q: 1}. 1/10 What is prob of picking 2 k and 1 r when three letters picked without replacement from {r: 1, l: 9, k: 3, b: 6}? 1/323 What is prob of picking 1 x and 1 c when two letters picked without replacement from xxxaaxca? 1/7 Calculate prob of picking 2 i when two letters picked without replacement from {i: 10, e: 4}. 45/91 Two letters picked without replacement from niqiqn. Give prob of picking 1 i and 1 q. 4/15 What is prob of picking 2 s and 1 r when three letters picked without replacement from sprprssprrrssprrrsss? 56/285 Four letters picked without replacement from mtkhmhzyhmyhkmhymhmk. Give prob of picking 1 k and 3 y. 1/1615 Three letters picked without replacement from {y: 5, e: 1, s: 4, o: 3}. What is prob of picking 1 s, 1 o, and 1 y? 30/143 Three letters picked without replacement from ozooooloo. Give prob of picking 3 o. 5/12 Calculate prob of picking 2 d, 1 p, and 1 h when four letters picked without replacement from uidhuudpudupudiipu. 1/170 Two letters picked without replacement from {k: 2, f: 1, g: 2, t: 1, a: 1}. Give prob of picking 1 f and 1 g. 2/21 What is prob of picking 1 k and 2 f when three letters picked without replacement from fffkkfkfkf? 1/2 Calculate prob of picking 2 t and 2 r when four letters picked without replacement from rttttttr. 3/14 What is prob of picking 1 i, 1 p, and 1 j when three letters picked without replacement from jjttbbipbjg? 1/55 Two letters picked without replacement from acasadd. Give prob of picking 1 c and 1 s. 1/21 Two letters picked without replacement from rmzok. Give prob of picking 1 z and 1 r. 1/10 Calculate prob of picking 2 j and 2 l when four letters picked without replacement from {j: 6, l: 4}. 3/7 Four letters picked without replacement from pwttnwwwcctnptwpcnw. Give prob of picking 1 c, 2 w, and 1 t. 15/323 What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 3, a: 13}? 13/40 Two letters picked without replacement from whhuhja. Give prob of picking 1 a and 1 u. 1/21 Calculate prob of picking 2 v when two letters picked without replacement from vvvvsvvvsv. 28/45 Three letters picked without replacement from eyveveeveeeyvev. What is prob of picking 2 v and 1 y? 4/91 Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {h: 2, l: 10, n: 3}. 18/91 What is prob of picking 2 d and 2 c when four letters picked without replacement from {x: 1, e: 1, c: 5, d: 3}? 1/7 Calculate prob of picking 2 h when two letters picked without replacement from {z: 2, h: 18}. 153/190 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {x: 1, e: 2, d: 9, t: 4}. 3/40 Four letters picked without replacement from btvtvtvtffbvkwt. Give prob of picking 1 w, 1 t, 1 v, and 1 k. 4/273 Two letters picked without replacement from {v: 11, g: 1, j: 6}. What is prob of picking 1 v and 1 j? 22/51 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from ywaatay. 1/21 What is prob of picking 2 t and 1 e when three letters picked without replacement from {g: 3, w: 1, t: 4, r: 7, e: 1}? 3/280 Four letters picked without replacement from koeoorerroaee. What is prob of picking 2 r and 2 o? 18/715 Two letters picked without replacement from aeaaiaaaeaiaueieauui. What is prob of picking 2 e? 3/95 Two letters picked without replacement from {w: 7, z: 4, e: 5}. What is prob of picking 1 z and 1 e? 1/6 Calculate prob of picking 1 g and 2 d when three letters picked without replacement from dtgtd. 1/10 What is prob of picking 2 s and 2 i when four letters picked without replacement from {s: 2, i: 4}? 2/5 What is prob of picking 2 c when two letters picked without replacement from {d: 11, c: 5}? 1/12 Four letters picked without replacement from {n: 5, w: 1, f: 1, i: 1, l: 1}. What is prob of picking 1 l, 1 w, 1 n, and 1 f? 5/126 What is prob of picking 2 u when two letters picked without replacement from {x: 17, u: 3}? 3/190 What is prob of picking 1 n and 1 q when two letters picked without replacement from rkqkrrnrrrruqr? 2/91 Calculate prob of picking 3 w when three letters picked without replacement from mwwniwnnmnrmn. 1/286 What is prob of picking 2 r, 1 h, and 1 d when four letters picked without replacement from ddddrddrdhhdd? 18/715 Calculate prob of picking 1 o and 2 a when three letters picked without replacement from oaooaooooaaa. 7/22 Calculate prob of picking 2 o when two letters picked without replacement from {z: 5, o: 13}. 26/51 Three letters picked without replacement from pfogotooppxtgtxtopoo. Give prob of picking 1 g and 2 x. 1/570 Thr
{ "pile_set_name": "DM Mathematics" }
+ r. What is the common denominator of (-123)/54 - (8/2)/(-12) and t? 90 Calculate the common denominator of -37/201 and 585/5695 + (0 - (-2)/(-17)). 201 Let a = 731/8 - 3693/40. Let y = -1193/44 - -246/11. Find the common denominator of y and a. 20 Let n be 1/(-14) - (-1670)/(-140). Find the common denominator of (-6450)/880 - n/(-22) and 79/16. 16 Let b = 1045/94 - -18/47. Suppose -4*k + 2*m - 8 = 0, -4*k + 0*m - 14 = -5*m. What is the common denominator of (1/2)/(k/(-1)) and b? 2 Let h = 36129 + -1878811/52. Find the common denominator of h and 32 + (-1995)/(-168) - 35. 104 Let d(m) = m**2 + 5*m. Let w(g) = -g**2 - 9*g - 1. Let l(j) = -5*d(j) - 3*w(j). Let c be l(3). Calculate the smallest common multiple of 18 and (42/c)/(2/(-6)). 126 Let f(z) = -z**2 + 7*z + 22. Let q(c) = 15*c**2 + 85*c + 221. Calculate the least common multiple of f(9) and q(-3). 404 Let x(u) = -u**3 + 6*u**2 - 8*u + 10. Let q(w) = w - 5. Let o be q(7). Calculate the smallest common multiple of 52 and x(o). 260 Suppose -2*n - 604 = 176. Let z = 520 + n. Calculate the least common multiple of 143 and z. 1430 What is the common denominator of (-7 + (0 - 1064/16))/(2*-15) and -14/1875? 7500 Let v(k) = -k**2 - 22*k - 28. Let n be 1 + (-9)/12 - (-7)/4. Suppose n*l + 25 = 3*z - 10, 2*l = -z - 15. What is the least common multiple of v(l) and 4? 92 Let y = 1244 + -3900. What is the common denominator of 56/5 and 80/y*(-76)/10? 415 Let w = 2/27829 + -1920377/2448952. What is the common denominator of 47/550 and w? 2200 What is the smallest common multiple of 625 and (-14 - 274)/18 - -23? 4375 Let f = -16 + 17. Let i be (3*14 - -4)/f. Suppose -3*d = -3*x - 36, -d - 16 = 5*x - i. What is the smallest common multiple of 24 and d? 120 Find the common denominator of -19/91 and (2 - 1/(-2)*-2) + 148542/(-133380). 8190 Let v = 675043/2 + -344166. Let r = 6802 + v. Let x = 182 - r. Calculate the common denominator of x and -67/22. 22 Suppose -5*d + 58 = 2*g, 4*d = 3*g - 8*g + 60. Suppose 5*u - d*u + 5 = 0. Let t = u - -2. What is the least common multiple of t and 7? 21 Let l = 7 + 17. Let j be (-1 + 7)*(-3 - (-3)/(-9)). Let g = l + j. Calculate the lowest common multiple of 20 and g. 20 Let c = 2379 + -2361. What is the lowest common multiple of c and 202? 1818 Let g(k) = 6*k - 2. Suppose 2*y + 4*p = 6, 0 = y + p + 3*p - 3. Suppose -37*j - 132 = -650. What is the smallest common multiple of j and g(y)? 112 Let d = 64034 - 105667. Let z = d + 1248869/30. What is the common denominator of 25/66 and z? 330 Suppose v + 0*y = y - 2, 10 = -5*v - 3*y. Let k be (-40)/(-12)*(-9)/v. Calculate the common denominator of 10/8*(-291)/k and 10/11. 44 Suppose -3 = k + 1. Let c(p) = p**3 - p**2 + 55*p + 204. Calculate the smallest common multiple of (-1 + k)/(8 + -9) and c(-3). 15 Let n = -1/3060 + -2531/340. Let d = 3/26621 - -1250962/1996575. Find the common denominator of d and n. 225 What is the common denominator of 9 - (-238546)/(-13188) - -9 and -32/21? 6594 Let h = 46210961/22 + -2102021. Let y = -1524 - h. Let o = 22593 + -406529/18. What is the common denominator of y and o? 198 What is the common denominator of ((-123)/(-12) + -2)/((-13020)/(-42)) and -127/620? 1240 Let t(g) = -g**2 + 129*g - 956. Let c(k) = k**3 - 12*k**2 + 12*k - 5. What is the smallest common multiple of t(121) and c(11)? 12 Let u = 4998 - 3798. Calculate the lowest common multiple of u and 70. 8400 Let p = 22381 + -671489/30. Find the common denominator of 83/4500 and p. 4500 Let m = -588819 - -7061585/12. Let k = m - -1335/4. Find the common denominator of k and (8/28)/(-6 - -2). 42 Let x = -373701016/1011 - -369635. What is the common denominator of 1/9 and x? 3033 Suppose 0 = 46*d - 50*d + 36. Suppose 0 = -t - 5*t - 330. Let s = -25 - t. What is the least common multiple of d and s? 90 Let q = -40 + 72. Suppose -156 = -5*p + 2*y, -4*y - q - 40 = -2*p. What is the common denominator of 966/(-2340) - 2/(-5) and p? 78 Let q(w) = -106 - 6*w + w**2 - w + 100. Let f be q(-2). Suppose v + 4*z - 28 = 0, 4*z + f = -0*v + 4*v. Calculate the smallest common multiple of 7 and v. 56 Let f = -3036258943/2515 - -1207260. Find the common denominator of 83/4 and f. 10060 Find the common denominator of (-69)/(-3795)*(-1)/(752/(-2020)) and 69/8. 4136 Let z = 13937/4 - 3487. What is the common denominator of 149/1032 and z? 1032 Let z = 185 - 105. Suppose 2*c = -2*c + j + 64, 2*j + z = 5*c. What is the common denominator of -32 and (-6)/24 - 54/c? 8 Let n = -518 - -532. What is the least common multiple of n and 1342? 9394 Let a = 2 + 9. Suppose 40*d = 52*d + 60. Calculate the lowest common multiple of a and (-3)/12*(d - -5) - -7. 77 Let m = -13990 - -2895940/207. Calculate the common denominator of 10/27 and m. 621 Suppose 0 = 42*j - 2856 - 882. Find the common denominator of 8 + -11 - j/(-9) and 97/16. 144 Let l(g) = g**2 - 5*g - 17. Let x be l(7). Let d = 780 + -1477/2. Find the common denominator of 108/(-10) + (-6)/x and d. 10 Calculate the common denominator of 101/2556 and (18/(-21))/(((-114)/171)/(19/(-6))). 17892 Let t(z) = -z**3 - 13*z**2 + 18*z + 128. What is the lowest common multiple of 57 and t(-14)? 1368 Let g be (53 + -52)*1/(-123349). Let z = g + 13445107/8141034. Calculate the common denominator of z and 83/12. 132 Find the common denominator of -12/49 and (-1410)/(-504) + 4/24. 196 Let q(n) = 4*n + 7. Let l be q(-1). Calculate the common denominator of 117/112 and 1771/(-224) - (-18)/l. 224 Let j be (-4141)/180 - (-28)/(-35). Let l = j - -107/4. What is the common denominator of (-39)/(-10) + (-2 - 0) and l? 90 What is the common denominator of -11 + 16/(64768/44341) and -29/138? 1104 Let l = -67355933/1194 - -56412. Let t = -5873/597 - l. Calculate the common denominator of t and -56/11. 66 Let w = -287880007/1395 - -619097/3. What is the common denominator of w and -47/310? 2790 Let z(r) = r**3 - 4*r**2 - 21*r + 7. Let v = 50 - 52. Let i be v/5 + 148/20. What is the lowest common multiple of z(i) and 6? 42 Suppose -2*s - 140 = -7*s. Let r = -16682 + 16638. What is the common denominator of r and s? 1 Let p be 2/6 - 359922/(-288). Let q = p - 1248. What is the common denominator of -95/14 and q? 112 Let s = -1280532133/849348 + -698/23593. Let h be (0 - -1507) + 2/1. Let w = s + h. Calculate the common denominator of 107/18 and w. 36 Suppose 5*d + 186 = 2*g, 4*g - 7*g = 2*d + 63. Calculate the common denominator of -91/228 and 2 - 1 - (-402)/d. 228 Calculate the common denominator of -69/620 and (27/(-180))/((-99)/(-1606)). 1860 Calculate the common denominator of 23/546 and 1246/(-120) + (-22)/(-88) + -3 + 8. 2730 Let j be 1 + 18/(-22) + 7384/44. Suppose 45*d - 39*d = j. What is the smallest common multiple of 20 and d? 140 Suppose 8*p - 3*p = 0, 0 = 2*h + p - 210. What is the common denominator of h/280*(-47)/(-18) and 125/24? 48 Let g = -236681/20 + 11838. Calculate the common denominator of (-2)/10 + 273/40 and g. 40 Let c = 1362 - 5390. Let m = 459305/114 + c. What is the common denominator of m and (123/(-24))/((-30)/(-12))? 1140 Let w = 169 - -169. Find the common denominator of (-531)/12*8/(-264) and w/78*3/2. 44 Let a be -1 - (4 + (-49089)/9816). Let w = 119419/9816 + a. Find the common denominator of w and 762/(-270) - (-2)/(-5). 18 Let j(m) = -3*m. Let y be j(-10). Let w = 89 - 709/8. Calculate the common denominator of w and (-215)/(-4)*(-12)/y. 8 Calculate the common denominator of 1/264 and (-250)/(-960) + 6/(-8). 1056 Let a(d) = -14*d - 30. Let b(o) = -o**3 + 18*o**2 + 20*o - 25. Let z be b(19). Let r be a(z). What is the common denominator of 57/5 and 196/r + -1 - 1/2? 270 Suppose 0 = -7*h + 410 + 325. What is the common denominator of 46/35 and (-162)/(-378) - 647/h? 105 Let h be 1/(-5*(-2)/90). Calculate the common denominator of 127/140 and 2/h - 9058/(-17640). 140 Suppose p - 29 = 4*m, 2*p - 30 = -6*m + 10*m. Calculate the lowest common multiple of 18 and (2/(-1 + 3))/(m/(-28)). 36 Let j = -26737 - -26753. Let c = -4 - -48. Calculate the lowest common multiple of j and c. 176 Let w(b) = 19*b**3 + 4*b**2 + b - 1. Let g(d) = -d**3 - d**2 - d + 5. Let q(z) = g(z) - w(z). Calculate the smallest common multiple of 6 and q(-2). 150 Suppose 3*z - 1199 = 4*v, 8*v - 7*v - 1567 = -4*z. What is the low
{ "pile_set_name": "DM Mathematics" }
ater: a or v? v Suppose 35 = 4*p - 4*t - t, -12 = 4*t. Suppose -2*i + p*i - 18 = 0. Let o = -4 + i. Which is bigger: 0.2 or o? o Let g = -1.8 + 0.5. Let l = 10 + -9.7. Let d = g + l. Which is smaller: d or 0? d Suppose 0 = -3*t + 17 + 52. Are 1 and t nonequal? True Let a(d) = -d**3 - 3*d**2 + 7*d + 7. Let j be a(-5). Which is bigger: -2/7 or j? j Let f = -146477/175 - -837. Let l = -533/700 - f. Which is bigger: -0.2 or l? -0.2 Let g(u) = u**3 + 5*u**2 + u + 3. Let z be g(-5). Let t(w) = w**2 + 5*w + 2. Let o be t(-2). Let r = o - -2. Is r bigger than z? False Let u be (-19)/(-4) + 12/(-16). Suppose -k = -u*k. Is k at least as big as -1/3? True Let c = -7 - -7. Suppose c = 2*t + 2*t. Which is smaller: t or 4/9? t Suppose 9*d + 44 + 19 = 0. Which is smaller: d or -27/4? d Suppose -4*b - 32 = -0*b. Suppose 0 = -4*p + 9*p + 35. Which is bigger: b or p? p Let u = -7/9 + 5/18. Which is smaller: u or -1? -1 Let d = -10 + 10.1. Let j = 0 - -0.1. Is j < d? False Suppose -3*a + 2 = -1. Let z be a*-1 + 98/105. Which is greater: z or 0? 0 Let u = 0.66 - 0.39. Let t = u - 0.07. Is t smaller than 0.3? True Let c = 1.05 - 0.05. Let t = -0.97 + c. Let s = -2.03 + t. Is s greater than or equal to -3? True Let v(x) = x - 12. Let m be v(6). Let f be ((-4)/(16/(-6)))/m. Suppose 11*l = 6*l + 5. Is l at most f? False Let n = 134 - 133.43. Which is smaller: 1 or n? n Let t = -11 + 10.9. Which is greater: 0 or t? 0 Let i = -2 - -7. Let q be (-2)/i + (-156)/(-15). Suppose 0 = -y + 6*y - q. Which is bigger: y or 3? 3 Let w = -15 + 9. Let c = w + 5.9. Let v = 19 - 75/4. Which is bigger: c or v? v Let i(j) = j + 6. Let x be 4/(-6)*15/2. Let p be i(x). Let u = 27/2 + -13. Which is bigger: u or p? p Let w be -1 + (339/33 - 0). Let j = w + -1541/165. Which is smaller: 0 or j? j Let h(z) = -3*z + 4. Let x be h(5). Let w = 12 + x. Is 2 greater than or equal to w? True Let u = -0.2 - -0.4. Let g = -0.3 + u. Let n = g + 0. Which is smaller: 2 or n? n Suppose 3*a - 4 = 5. Let s = 128 - 80. Let j be 2/9 + s/27. Which is smaller: j or a? j Let r be (-1)/(-2)*(-84)/(-1). Let b be (-2)/3 - r/(-9). Suppose -b*k - 5*t = 1, 0 = -2*k + 3*k + 2*t + 1. Which is greater: k or -2/7? k Suppose -3*y - 26 = -4*y. Which is smaller: 27 or y? y Let q = 0.13 - 0.18. Let w = q + -0.05. Let t be (-10)/3 + 2/(-3). Is w < t? False Let u be 0/(-4) + -4 + 5. Suppose 0*t = t - u. Is 5/4 bigger than t? True Let g be (0/1)/(-2 + 4). Suppose g = 4*q - 7*q. Which is greater: q or 1? 1 Let l be (-2 + (-14)/(-4))*-2. Let o be 1*-3*(-1)/l. Is -1/11 > o? True Let p = -4 + 7. Let q be (p + -1)/(1*-2). Which is greater: 1/3 or q? 1/3 Let z = 26 + -14. Let n be z/(-30)*6/(-4). Which is smaller: n or 0? 0 Let k(v) = v**3 - 6*v**2 + 5*v. Let r be k(5). Let o = r + 5. Does o = 5? True Let r = -32965/11 - -2993. Is 1 < r? False Suppose 5*k = 5*h - 0*h, 5*k = 0. Is h equal to 45? False Let d be ((-10)/(-6))/5 - 0. Is -2/5 at least d? False Let f be (-2)/(21/(-9) + 3). Let n be 1/2 - (-2)/(-4). Which is bigger: n or f? n Let q(o) = -o**2 - 7*o - 3. Let n be q(-5). Let i = 8 - 6. Let d be 65/9 - i/9. Is d greater than or equal to n? True Let d = 1 + -4. Let v be ((-4)/6)/((-2)/d). Do -1 and v have different values? False Let a = 107/10 - 43/4. Is -1 smaller than a? True Suppose 0 = -3*n - 3 + 9. Let t = n - 3. Let o be 15/(-5) + 5*1. Which is greater: t or o? o Let q = -18 + 23. Is q greater than 3? True Let a be (-1 + -5)*(-4)/(-6). Let v be a/3 + (-3)/(-9). Let j = -1006/1245 + 2/249. Is v at least j? False Let i = 34.81 + -35. Let q = 1.81 - i. Which is smaller: -1/7 or q? -1/7 Suppose 0 = 5*s - 940 + 160. Let w be s/20 + 2/10. Is w bigger than 8? False Let b = -158 + 158. Is b <= -102? False Let d = 0.32 - 0.02. Let u = d + -0.2. Let z = u + 0. Is -1 > z? False Let w(d) = -d**2 + 14*d + 3. Let j be w(14). Suppose -j*c + 2 = 5. Which is smaller: -0.15 or c? c Let h be 4/(-6) - 50/(-3). Suppose -5*s = -1 + h. Is s bigger than -3? False Let u(a) = a**3 + 4*a**2 - 2*a - 5. Let v be u(-3). Let s be (v/45)/((-16)/(-6)). Is -1 at most as big as s? True Let x be (12/(-22))/(51/(-68)). Is x less than or equal to 0? False Suppose 11 = 5*o - c, -4*o + 0*c - c + 7 = 0. Suppose 4*m + n - 1 = m, -m - 3*n = 13. Does o = m? True Let y(g) = -2*g**2 - 4*g - 4. Suppose -11*r = -5*r + 18. Let h be y(r). Which is smaller: h or -11? -11 Let z(a) = a + 1. Let d be z(0). Let g = d - 2. Let w be (-6)/(-68)*36/(-27). Which is bigger: g or w? w Let l = -23 + 35. Let i be (-5)/(-12) - 9/l. Is i at most as big as -5? False Suppose t + 2*t = 21. Suppose -3*a = -t*a + 12. Let n = 4 - 1. Is n at least as big as a? True Suppose -n + 4279 = -5*v, -5*n + 589 = -v - 262. Let z = 4251/5 + v. Let f = z - -32/5. Which is greater: 0 or f? f Let f(y) = -y**2 + 38. Let h be f(0). Let b be 0/2 + (-4)/h. Let v(j) = j**3 - j**2 - 2*j + 1. Let a be v(2). Which is smaller: b or a? b Let g be 0/((-1 - 2) + 6). Suppose -r - 1 = -g. Is r >= -4/3? True Suppose -3*r + n + 150 = 0, 3*r + 0*n = -2*n + 150. Suppose 8*b = 3*b - r. Is -11 at most b? True Let n(v) be the third derivative of -v**3 + 0*v + 0 - v**2 - 1/24*v**4. Let a be n(-5). Is -2/13 smaller than a? False Let d(c) = -c**3 + 8*c**2 + 10*c - 9. Let k be d(9). Let x = 2 + k. Let v be (-4 - -4)*(-2)/x. Is v less than 2/9? True Let n be 2 + ((-14)/8 - 0) - 0. Which is smaller: 2/5 or n? n Let y(b) = -b. Let k(v) = 6*v - 1. Let w(o) = k(o) - 2*y(o). Let g be w(2). Is g less than or equal to 15? True Suppose -2*y - 3*y = 5. Let r be 1 - y/1 - 1. Which is smaller: r or -1/9? -1/9 Let r be 2/6 + (-1123)/(-15). Let f = 75 - r. Which is bigger: -1 or f? f Suppose 3*a + 3 + 3 = 0. Suppose -3*u = -18 + 3. Suppose -1 = -5*c + u*k + 4, c + 3 = -3*k. Which is greater: a or c? c Let d be 2/30 - 8/(-24). Is d smaller than -0.6? False Let w be (1/3)/(4/(-6)). Let p = -3 + 4. Let g = 3 + p. Which is bigger: g or w? g Let y = 3 - 13/4. Is 1.3 at most y? False Suppose 0 = 5*x - 4*c - 10, 0*x + 2*x = 5*c + 4. Let o = x - 21. Which is bigger: -20 or o? o Suppose 0*b + 4*b = 0. Let t be 4/(-8)*b/(-1). Is t <= -1? False Let f(l) = l + 16. Let o be f(-11). Suppose o*w + 2*c + 11 = 0, -c = -2*w - 6*c - 17. Which is bigger: -5 or w? w Let z = 23 - 4. Let y = 135/7 - z. Is 2/7 >= y? True Let i be 16/3 + 1/(-3). Suppose -i*u + 11 = -4. Is u smaller than 2? False Let q be -15*1/2 - 3/(-6). Which is smaller: q or -6? q Let d = 110/3 + -1433/39. Are -1 and d non-equal? True Let g = 0.19 - -4.81. Let p = g + -4.3. Is -0.2 smaller than p? True Let f(x) = 9*x**2 - 2*x + 9. Let l(u) = 5*u**2 - u + 5. Let i(r) = 4*f(r) - 7*l(r). Let s be i(1). Let c be (-1)/((-2)/(-3) - s). Is 4 != c? True Let n be 0 - -1 - 6/10. Let x = 181/2 + -911/10. Which is greater: x or n? n Let w = 6 + -2. Which is smaller: w or -0.1? -0.1 Let o(d) = -5*d + 23. Let i(g) = 4*g - 22. Let m(c) = -6*i(c) - 5*o(c). Let z be m(-15). Let r be (-2)/5*(1 - 6). Does z = r? True Let u(n) = 6*n - 12. Let v(i) = 7*i - 13. Let z(w) = -6*u(w) + 5*v(w). Let l be z(7). Which is smaller: l or -2? -2 Let t(c) = -c**3 - 22*c**2 - 40*c - 4. Let v be t(-20). Is -10 less than or equal to v? True Let p be (-2 + 3 + -1)*-1. Suppose -w - 4*c = 10, 3*w - 3*c - 2*c - 4 = p. Let v be -2 + (3/(-9) - w). Is v at most 1? True Let p = 0.8 - -0.2. Let m = 123.1 + -115. Let l = m - 8. Which is bigger: l or p? p Suppose 8 = -15*c + 14*c. Let g be ((-6)/(-9))/(c/60). Which is bigger: g or -7? g Let c(m) = 2*m - 10. Let p be c(7). Are p and 6 unequal? True Let w = 12.987 + 0.013. Which is smaller: w or 0.2? 0.2 Suppose -10 = -2*y, -4*o + 9*o - 3*y + 20 = 0. Do o and -1/18 have different values? True Let g(n) = -n**2 + 10*n - 16. Let d be g(8). Which is bigger: d or -1/2? d Let v be -1 + 1/(3/9). Suppose v*u = 5*u - 3. Which is smaller: u or 2? u Let u(s) = -s + 12. Let k be u(13). Which is smaller: -2/191 or k? k Let y be -57*((-2 - -2) + -1). Let l = y - 39. Let j be ((-12)/l)/(2/6). Is j smaller than -3? False Let a = -75 + 76. Is -6/59 smaller than a? True Let t = 48 - 48. Is t at least 6? False Let y = 21 - 37. Let c be (2 + y/6)*9. Let g be 1/c*(-2 + -2). Which is bigger: g or 1? 1 Let a be 5/44 - (19/4 - 5). Is -1 greater than a? False Let n = 68/57 - 10/19. Is -54 != n? True Let a(m) = m. Let k b
{ "pile_set_name": "DM Mathematics" }
rime factors of 1449544606. 2, 131, 5532613 List the prime factors of 659280183. 3, 19, 11566319 List the prime factors of 136041577. 7, 19, 1022869 What are the prime factors of 64476812? 2, 73, 220811 What are the prime factors of 2010466964? 2, 11, 311, 146921 List the prime factors of 393031067. 11, 13, 2748469 What are the prime factors of 87753686? 2, 43876843 List the prime factors of 985555738. 2, 492777869 What are the prime factors of 2380162205? 5, 19, 25054339 What are the prime factors of 832539382? 2, 179, 2325529 List the prime factors of 16983349. 16983349 List the prime factors of 3239716951. 3239716951 List the prime factors of 18776227. 61, 317, 971 What are the prime factors of 53265907? 23, 359, 6451 What are the prime factors of 803741243? 14737, 54539 List the prime factors of 199029200. 2, 5, 17, 29269 List the prime factors of 113399331. 3, 83, 455419 What are the prime factors of 28919763? 3, 23, 139709 List the prime factors of 726987976. 2, 11, 13, 48883 What are the prime factors of 540871828? 2, 7, 1951, 9901 List the prime factors of 18175634. 2, 29, 313373 What are the prime factors of 1836328370? 2, 5, 183632837 What are the prime factors of 74160356? 2, 53, 349813 List the prime factors of 22497914. 2, 499, 22543 List the prime factors of 17985409. 13, 1383493 List the prime factors of 6238407497. 7, 891201071 What are the prime factors of 15198511? 1051, 14461 What are the prime factors of 3884958738? 2, 3, 101, 103, 20747 What are the prime factors of 7277081484? 2, 3, 31, 2383, 8209 List the prime factors of 274967833. 7, 39281119 List the prime factors of 2225650. 2, 5, 7, 6359 What are the prime factors of 6522175069? 17, 2281, 168197 What are the prime factors of 129535431? 3, 29, 47, 79, 401 What are the prime factors of 107072416? 2, 11, 27653 List the prime factors of 31522135. 5, 6304427 What are the prime factors of 20499483? 3, 643, 10627 What are the prime factors of 32369171? 467, 69313 List the prime factors of 848591927. 19, 44662733 List the prime factors of 47727074. 2, 347, 68771 List the prime factors of 859816151. 2953, 291167 List the prime factors of 112892731. 7, 31, 47, 11069 List the prime factors of 21589671. 3, 31, 269, 863 What are the prime factors of 440216703? 3, 673, 72679 What are the prime factors of 1728840602? 2, 17, 53, 349, 2749 List the prime factors of 147859884. 2, 3, 751, 1823 List the prime factors of 254055465. 3, 5, 5645677 What are the prime factors of 109094488? 2, 677, 20143 List the prime factors of 48597993. 3, 5399777 What are the prime factors of 2552602? 2, 13, 31, 3167 List the prime factors of 2769740939. 7, 53, 67, 111427 What are the prime factors of 45228478? 2, 353, 64063 What are the prime factors of 2168895005? 5, 31, 13992871 What are the prime factors of 68457804? 2, 3, 137, 41641 List the prime factors of 53607351. 3, 7, 557, 4583 List the prime factors of 6533661. 3, 17, 128111 What are the prime factors of 271452040? 2, 5, 787, 8623 What are the prime factors of 28210120? 2, 5, 73, 9661 What are the prime factors of 28913629? 1097, 26357 List the prime factors of 563367660. 2, 3, 5, 9389461 What are the prime factors of 230731655? 5, 7, 11, 599303 What are the prime factors of 1597114935? 3, 5, 13, 257, 3541 List the prime factors of 601229359. 61, 9856219 List the prime factors of 967840108. 2, 1249, 193723 List the prime factors of 4038949648. 2, 252434353 List the prime factors of 60499560. 2, 3, 5, 11, 45833 What are the prime factors of 37408187? 37408187 List the prime factors of 281915750. 2, 5, 1127663 What are the prime factors of 254856130? 2, 5, 2281, 11173 List the prime factors of 5201327540. 2, 5, 37, 1531, 4591 What are the prime factors of 834699318? 2, 3, 139116553 What are the prime factors of 2758509326? 2, 1379254663 List the prime factors of 400593409. 223, 293, 6131 List the prime factors of 47752814. 2, 19, 79, 15907 List the prime factors of 1011729252. 2, 3, 19, 4437409 What are the prime factors of 2129080818? 2, 3, 1181, 300463 List the prime factors of 107344864. 2, 11, 23, 13259 What are the prime factors of 36125754? 2, 3, 7, 53, 16229 List the prime factors of 501060137. 3257, 153841 What are the prime factors of 275931248? 2, 31, 556313 List the prime factors of 8821892046. 2, 3, 11, 29, 59, 78121 What are the prime factors of 18363193? 43, 509, 839 List the prime factors of 88627606. 2, 44313803 List the prime factors of 2093125358. 2, 41, 2621, 9739 List the prime factors of 27132987. 3, 7, 137, 9431 What are the prime factors of 488135286? 2, 3, 27118627 List the prime factors of 1343581494. 2, 3, 223930249 List the prime factors of 19341211. 127, 152293 List the prime factors of 299543202. 2, 3, 7, 1019, 2333 List the prime factors of 37511082. 2, 3, 7, 297707 List the prime factors of 80819910. 2, 3, 5, 299333 List the prime factors of 61624868. 2, 2843, 5419 What are the prime factors of 920417900? 2, 5, 31, 296909 List the prime factors of 76594228. 2, 73, 461, 569 What are the prime factors of 3685730531? 7, 59, 8924287 What are the prime factors of 217629979? 7, 23, 1039, 1301 What are the prime factors of 1204246910? 2, 5, 239, 503869 What are the prime factors of 19789218? 2, 3, 366467 What are the prime factors of 463162158? 2, 3, 41, 47, 4451 List the prime factors of 86816476. 2, 271, 283 List the prime factors of 670033219. 670033219 What are the prime factors of 466185599? 11, 101, 419609 List the prime factors of 16870794. 2, 3, 463, 6073 What are the prime factors of 43778591? 23, 811, 2347 List the prime factors of 519829025. 5, 20793161 List the prime factors of 784265589. 3, 29, 41, 83, 883 List the prime factors of 74462261. 17, 4380133 What are the prime factors of 45645497? 1367, 33391 List the prime factors of 38590076. 2, 7, 1378217 What are the prime factors of 1670261863? 23, 211, 344171 List the prime factors of 74721998. 2, 13, 221071 List the prime factors of 28388369. 67, 423707 What are the prime factors of 919086014? 2, 7, 11, 5968091 List the prime factors of 42589308. 2, 3, 293, 12113 What are the prime factors of 1447851238? 2, 723925619 List the prime factors of 51677733. 3, 3373, 5107 List the prime factors of 58421381. 641, 91141 List the prime factors of 1276658128. 2, 97, 822589 What are the prime factors of 55810906? 2, 29, 962257 What are the prime factors of 8724625? 5, 7, 13, 59 What are the prime factors of 263187113? 7, 101, 191, 1949 List the prime factors of 16382321. 16382321 What are the prime factors of 1816298773? 31, 2591, 22613 List the prime factors of 1145524350. 2, 3, 5, 7636829 List the prime factors of 91630153. 17, 1783, 3023 What are the prime factors of 4383187? 41, 106907 List the prime factors of 248822678. 2, 13, 31, 308713 List the prime factors of 134033675. 5, 193, 27779 List the prime factors of 246625655. 5, 49325131 List the prime factors of 826354903. 11, 75123173 What are the prime factors of 41071026? 2, 3, 6845171 What are the prime factors of 117575381? 7, 11, 37, 41269 List the prime factors of 877235071. 17, 6571, 7853 What are the prime factors of 100292880? 2, 3, 5, 23, 18169 What are the prime factors of 3729431764? 2, 47, 19837403 List the prime factors of 4180390156. 2, 1045097539 What are the prime factors of 159629605? 5, 41, 778681 List the prime factors of 2294206905. 3, 5, 152947127 What are the prime factors of 78283610? 2, 5, 19, 412019 What are the prime factors of 1542197802? 2, 3, 257032967 What are the prime factors of 169657743? 3, 29, 1950089 List the prime factors of 61291673. 71, 257, 3359 What are the prime factors of 1502610784? 2, 5119, 9173 What are the prime factors of 500046485? 5, 100009297 What are the prime factors of 1129940299? 37, 1063, 28729 What are the prime factors of 125169734? 2, 71, 881477 List the prime factors of 326816097. 3, 108938699 What are the prime factors of 352964580? 2, 3, 5, 5882743 What are the prime factors of 23820545? 5, 7, 680587 What are the prime factors of 24487432? 2, 3060929 What are the prime factors of 9781167? 3, 11, 43, 61, 113 What are the prime factors of 3219306651? 3, 11, 67, 485347 What are the prime factors of 161262728? 2, 11, 19, 43, 2243 List the prime fac
{ "pile_set_name": "DM Mathematics" }
s divided by n? 2 Suppose -4*w = -9*w - 190. Let j = w - -77. What is the remainder when j is divided by 21? 18 Suppose 8*k - 4*k + 16 = 0. Suppose 5*v = -5*z + 10, z - 6*z - 32 = -v. Let h = k + v. What is the remainder when h is divided by 1? 0 Suppose -v + 1 + 5 = 3*i, -4 = -4*v - 2*i. Suppose 4*y + v*y - 8 = 0. What is the remainder when y is divided by 1? 0 Let u = -15 - -34. What is the remainder when u/((-3)/12*-2) is divided by 10? 8 Let h(d) = 3*d - 2. What is the remainder when h(2) is divided by 2? 0 Let h = -360 - -534. Let d = h + -116. Calculate the remainder when d is divided by 15. 13 Let p(a) = 2*a**2 + 4. Let y = -13 - -9. Suppose -3*z = -5*s - 82, 4*z + 6 - 97 = 3*s. Calculate the remainder when p(y) is divided by z. 17 Let g be 95/(-15)*6*-1. Let d = 3 + g. Calculate the remainder when d is divided by 22. 19 Suppose -4*a + 2*x + 30 = 0, 0 = -a + x + 1 + 7. Let b(q) = -q**3 + 6*q**2 - 6*q + 5. Let p be b(5). What is the remainder when 2*(5 + p + 1) is divided by a? 5 Let w be (6 - 10)*1/(-2). Calculate the remainder when 9 is divided by (9 + -14)*(-2)/w. 4 Suppose h = 2*h - q + 2, -5*q + 19 = -2*h. Suppose 0 = -3*n + n, -4*j + 48 = h*n. What is the remainder when 34 is divided by j? 10 Suppose 0 = 5*n - 10*n + 30. What is the remainder when ((-2)/(-3))/(n/45) is divided by 3? 2 Suppose 4*m - 2*m - 128 = 0. What is the remainder when m is divided by 33? 31 Let k = -54 - -77. Suppose -3*b + 4*v - 7 = 0, 0*v = -4*b + 4*v - 8. What is the remainder when k is divided by (1*24/(-2))/b? 11 Let u be (-4)/18 - 665/45. Let x = 25 + u. Suppose -5*i = -x*i + 25. Calculate the remainder when 14 is divided by i. 4 Let s = 90 + -39. Calculate the remainder when 251 is divided by s. 47 Suppose 50 = 5*o - 5*x - 10, x = -2. Let j = 17 - o. What is the remainder when 26 is divided by j? 5 Let j = 143 - 103. Let v = 49 + -35. Calculate the remainder when j is divided by v. 12 Let f = 34 - 18. Calculate the remainder when 46 is divided by f. 14 Suppose -4*z = 2*u - 14, -4*u + 0*u = -4*z + 32. Suppose -49 = z*b - 314. What is the remainder when b is divided by 18? 17 Let i = -4 - -7. Let n(b) = b**3 - 7*b**2 + 6*b - 5. Let z be n(4). Let k = -21 - z. Calculate the remainder when k is divided by i. 2 Suppose -280 = 2*u - 10*u. What is the remainder when u is divided by 1/(((-4)/(-2))/18)? 8 Let w be (4/(-6))/(2/3). Let b = 10 - w. Calculate the remainder when 54 is divided by b. 10 Suppose -3*b + 21 = -l, -5*b - 3*l = l - 18. Let n(r) = 0 + 0 - r**2 + 7*r + 3. Calculate the remainder when 25 is divided by n(b). 7 Suppose -h + 15 = -5. Calculate the remainder when 77 is divided by h. 17 Let v = -37 - -75. What is the remainder when v is divided by (-58)/(-3) - 2/(-3)? 18 Let b(s) = 2 - 1 + 14*s - 7*s. Suppose 3*p + 4*u - 11 = 4, 2*u = -2*p + 12. Calculate the remainder when b(2) is divided by p. 6 Suppose u - 2*u = -5. Suppose -v + 2*j = -73, 2*v = 3*v + u*j - 80. What is the remainder when v is divided by 26? 23 Let z = -4 + 17. Calculate the remainder when 35 is divided by z. 9 Let f(g) = -g**3 - 10*g**2 - 2*g - 8. Let z be f(-10). Calculate the remainder when (6/(-15))/(6/(-615)) is divided by -1 + z + (0 - 0). 8 Let b(p) = -8*p - 16. What is the remainder when 159 is divided by b(-6)? 31 Suppose 4*a = 5*a. Let d = -1 - a. Let c(s) = -11*s - 1. Calculate the remainder when 18 is divided by c(d). 8 Suppose 4*y - 61 = -13. Let q(t) = t**3 - 2*t**2 + 3*t + 4. What is the remainder when q(3) is divided by y? 10 Let f = -63 - -18. Let i = -21 - f. Calculate the remainder when i is divided by -39*((-8)/(-6))/(-4). 11 Let t(y) = y**3 + 19*y**2 + 28*y - 24. Calculate the remainder when t(-17) is divided by 10. 8 Let v(p) = p + 2. What is the remainder when v(0) is divided by 0 - (-3)/((-3)/(-2))? 0 Let l = -1 - -3. Suppose -l*h + 6 = h. Suppose h*t - 30 = -0*t. What is the remainder when 43 is divided by t? 13 Suppose -2*x - 373 = 557. What is the remainder when ((-4)/5)/(6/x) is divided by 16? 14 Let o(f) = f**2 - 10*f + 9. What is the remainder when 218 is divided by o(11)? 18 Let o(j) = -3*j**3 + 21*j**2 + 11*j - 15. What is the remainder when o(7) is divided by 18? 8 Let v(t) = -t**3 - 11*t**2 - 11*t - 4. Calculate the remainder when 10 is divided by v(-10). 4 Let u(t) = 5*t + 4. Let n be u(-8). Let d = n - -83. Calculate the remainder when d is divided by 12. 11 Let l(u) = -10*u - 2. Let v be l(-3). Suppose 3*m = 4*z - 0*m - 157, 3*m + v = z. What is the remainder when z is divided by 22? 21 Let u(b) be the second derivative of -5*b**3/2 - b**2/2 + b. Let q(t) = t - 5. Let r be q(4). What is the remainder when 41 is divided by u(r)? 13 Let j(g) = 4*g**2 - 3*g. Suppose 0 = 5*b + 20, 101 = 3*y - 3*b - 2*b. Calculate the remainder when j(4) is divided by y. 25 Suppose 66 = -0*w - 3*w. What is the remainder when (w/(-3))/(3/9) is divided by 6? 4 Let j = 88 + -48. Calculate the remainder when j is divided by 11. 7 Let j = -8 - -9. Suppose 0 = 5*a + 3*z - 4, -a - 2*z - j = 1. Suppose -h + 0*f + f = 2, f + 4 = 4*h. Calculate the remainder when h is divided by a. 0 Let i be 1*(-61)/(-3)*3. Suppose -5*a + i = -4. Calculate the remainder when 49 is divided by a. 10 Suppose -3*p + 114 = -2*p. Calculate the remainder when p is divided by 29. 27 Suppose 2*g = -5*s, 7*g - 2*g - 21 = -2*s. What is the remainder when 14 is divided by (1 + 1)*(g - 1)? 6 What is the remainder when 13 is divided by (-54)/(-13) - 8/52? 1 Suppose -2*p + 4*g + 14 = 6*g, 0 = -3*p - 2*g + 24. Let k = 6 + 0. What is the remainder when 436/16 - k/(-8) is divided by p? 8 Suppose 24 + 9 = d. Suppose -11*u + 108 = -2*u. Calculate the remainder when d is divided by u. 9 Suppose -2*p - 4*x = -x - 90, 5*x = 5*p - 250. Calculate the remainder when p is divided by 10. 8 Let i be ((-8)/(-3))/(4/6). Let f(x) = -x**3 + 5*x**2 + 1. What is the remainder when f(i) is divided by 9? 8 Let t(n) = -n**2 + 6*n + 4. Let p be t(6). Suppose 8 = 3*r - p. Suppose 6 = -g + 4*g. Calculate the remainder when r is divided by g. 0 Calculate the remainder when (245/(-10))/(2/(-4)) is divided by 17. 15 Suppose -r + 2*c + 18 = 0, 2*r - c - 6 = 42. Let n = -61 + 75. What is the remainder when r is divided by n? 12 Let i(c) = c**2 + 3*c + 3*c - 7*c + 0 - 1. Let k be (1 - 1) + (-7 - -2). What is the remainder when i(k) is divided by 10? 9 Suppose 25 = 4*r - 15. What is the remainder when (-152)/(-6)*3/2 is divided by r? 8 Let l = -21 - -147. Let q = l + -58. Suppose -p = -2*d + 34, q = 4*d - 2*p - p. Calculate the remainder when 33 is divided by d. 16 Let k be (-6)/(-4)*30/9. Suppose k*t - 31 = 39. What is the remainder when 41 is divided by t? 13 Let m(o) = o**2 - 8*o + 14. Calculate the remainder when 41 is divided by m(8). 13 Suppose -3*w + 3*l - 162 = 12, -131 = 2*w - 5*l. Let r = -28 - w. Suppose -4*k - r + 197 = 0. Calculate the remainder when k is divided by 11. 10 Suppose b + z - 23 = 0, 7*b - 4*z = 4*b + 104. What is the remainder when b is divided by 11? 6 Let i = -11 - -24. Calculate the remainder when 49 is divided by i. 10 Let z = 315 - 206. Calculate the remainder when z is divided by 22. 21 Calculate the remainder when 2 - (0 - -1) - 352/(-4) is divided by 45. 44 Suppose 66 = 8*g - 5*g. Suppose 2*i + 6 - g = 0. What is the remainder when 31 is divided by i? 7 Let g(l) = 3*l - 5. Let f be 6/(-5)*(-20)/8. Suppose 1 = -f*p + 13. What is the remainder when 12 is divided by g(p)? 5 Suppose 0*x = -3*x + 3*p, -x - p = -2. What is the remainder when 55 is divided by (3 - x)*19/2? 17 Suppose 6*w - 9 = 3*w. Let i(v) = 2*v**2 - 3*v. Let o be i(2). Suppose o*n - 18 = 2. Calculate the remainder when n is divided by w. 1 Suppose 4*o + w + 84 = 0, 3*o + 5*w + 68 = 3*w. Suppose 6*k + 88 = 8*k. Let a = k + o. Calculate the remainder when a is divided by 13. 11 Suppose 5*y = -25, -40 = -4*i - i + 4*y. Calculate the remainder when 9 is divided by i. 1 What is the remainder when (-988)/(-28) + 2 - (-6)/(-21) is divided by 9? 1 Let d = 17 - 11. Calculate the remainder when 78/2 - d/(-2) is divided by 11. 9 Let v = -8 + 19. Let q(z) = 3*z**2 + 3*z + 3. What is the remainder when q(-3) is divided by v? 10 Let d(n) = -n**3 - 7*n**2 - 8*n + 5. What is the remainder when d(-6) is divided by 6? 5 Let v = -4 - -6. Let u(l) be the s
{ "pile_set_name": "DM Mathematics" }
4 - 1. Let b(v) = -2*v**2 + 2*v**k - 2*v**2 - v**3 + 5 - 5*v. Calculate the remainder when b(5) is divided by 3. 2 Let l(y) = 2*y**2 + 2*y - 1. Let h be l(1). Suppose -h*b + 153 = 3*r, 5*b - b - 222 = 2*r. Let s = 75 - b. What is the remainder when s is divided by 11? 10 Let i(j) = -2*j + 4. Suppose 3*p = -17 - 1. What is the remainder when i(p) is divided by 9? 7 Let x(a) = a**2 + 6*a + 17. Suppose -315 = -5*y - 5*p, 0*y = y - 3*p - 71. Calculate the remainder when y is divided by x(-8). 32 Let i = 42 + -34. Calculate the remainder when 31 is divided by i. 7 Suppose 0 = -4*d + 2*a + 14 - 0, -2*a = 3*d - 14. Let o(p) be the first derivative of 2*p**2 + 3*p - 2. What is the remainder when 56 is divided by o(d)? 18 Suppose -1760 = -8*k + 4*k. Let u be (k/25)/((-2)/(-10)). Suppose -u = -4*m + 40. Calculate the remainder when m is divided by 11. 10 Suppose 2*w = -2*w + 44. Calculate the remainder when w is divided by 4. 3 Let d(n) = n**2 - 3*n - 9. Let o(r) = -r**2 + 5*r - 4. Let p be o(4). Suppose 6 = -3*q, p = -f - f + 4*q + 82. What is the remainder when f is divided by d(7)? 18 Let y = 41 - 13. What is the remainder when 137 is divided by y? 25 What is the remainder when 9/(((-8)/10)/(-4)) is divided by 24? 21 Let q be 3/((-2)/(-148)*6). Let z = q + -22. What is the remainder when z is divided by 8? 7 Suppose -4*b = -b - 12. Suppose -6*r = -b*r - 12. Suppose 3*u + 0*u = 66. Calculate the remainder when u is divided by r. 4 Let m(g) = -18*g - 61. Suppose 4*x - 144 = -5*d, -5*x + 0*d + 163 = 2*d. Calculate the remainder when x is divided by m(-4). 9 Let h(x) = 4*x. Let k be h(6). Suppose -32 = 4*p - 3*f, -2*f - 6 = -2*p - k. What is the remainder when (6/p)/(1/(-20)) is divided by 13? 11 What is the remainder when 17 is divided by ((-20)/4)/((-5)/6)? 5 Let c(x) = 27*x**2 + x + 6. Calculate the remainder when c(-2) is divided by 38. 36 Suppose t = -13 + 39. Suppose -t = -4*i + 14. Calculate the remainder when i is divided by 6. 4 Let t(h) = -4*h + 1 - h + 4*h. Suppose -5*u = -10*x + 9*x - 9, -5*x + 5*u = -35. What is the remainder when x is divided by t(-5)? 5 Let k = 3 + -4. Let g = -99 - -105. Calculate the remainder when k - -2 - 0 - -10 is divided by g. 5 Let b(j) = -j**3 + 15*j**2 + 4*j + 6. Calculate the remainder when b(15) is divided by 23. 20 Let j(q) = -q**2 + q. Let d be j(0). Suppose 2*n + d - 13 = -a, 4*a = -n + 24. Calculate the remainder when 14 is divided by n. 2 What is the remainder when (-1 - 15/(-9))*66 is divided by 3/((-26)/70 - (-40)/70)? 14 Let o = -3 - -24. Suppose -2*f + 3*n = -0*f - 42, -o = -f + 3*n. Let l(a) = 14*a**2 - 4*a - 3. What is the remainder when l(-2) is divided by f? 19 Suppose -2*s = -9 - 9. Let y be 2/6 - (-2)/(-6). Suppose y = -4*w + 3*z - 5 + 25, z = 5*w - 25. What is the remainder when s is divided by w? 4 Let n(r) = -r**3 - r**2 - 2*r + 3. Let d be (-10)/(-1) - (-5 + 6). Suppose d = x - 5. Calculate the remainder when n(-3) is divided by x. 13 Suppose 0 = 2*t + 3*t - 10. Suppose t*q + 67 = 3*q. What is the remainder when q is divided by 17? 16 Suppose -4*o = -3*x - 2*o + 11, 10 = 3*x - o. Calculate the remainder when 9 is divided by x. 0 Let l = 117 - 106. What is the remainder when 15 is divided by l? 4 Let u be 0/(-3) - (1 - -4). Let s be 2/(-5) - 172/u. Suppose -f + s = 8. Calculate the remainder when f is divided by 9. 8 Let m(v) = -7*v - 1 - 4 + 4. Calculate the remainder when 16 is divided by m(-1). 4 Let w be (-2)/(-10) + (-255)/25. Let m be -2*42/(-4) - 1. Let a = w + m. Calculate the remainder when 18 is divided by a. 8 Calculate the remainder when 46/(0 - (-2 + 1)) is divided by 12. 10 Suppose -97 - 63 = -5*q. Suppose 0 = 5*r + 1 - 11. Suppose r*z = z + 11. Calculate the remainder when q is divided by z. 10 Let v(n) = -n**2 + 6*n - 3. Let z be (-8)/((-6)/9*-3). What is the remainder when z*10/(-4)*1 is divided by v(3)? 4 Let i be (33/12)/((-2)/(-16)). Let u = 354 - i. Calculate the remainder when u/6 - 2/(-3) is divided by 19. 18 Suppose 2*q - q - 6 = 0. Let w(z) = -z**3 + 7*z**2 - 5*z + 1. What is the remainder when 20 - 3/6*2 is divided by w(q)? 5 Let l(p) = -6*p - 2. What is the remainder when l(-9) is divided by 0/2*-1 + 11? 8 Let j(d) = d**3 - 10*d**2 - 12*d + 14. Calculate the remainder when 4 is divided by j(11). 1 Let l(h) = 12*h**2 - 6*h - 9. What is the remainder when l(5) is divided by 53? 49 Suppose 4*n = -0*n - 12. Suppose 0 = -4*l + 62 + 18. Calculate the remainder when l is divided by ((-33)/15)/(n/15). 9 Let w be (-100)/6 - 7/21. Let q = w - -41. Suppose -2*m + m = -13. What is the remainder when q is divided by m? 11 Let a = -1 + 10. Suppose -3*q + 67 + 5 = 0. Calculate the remainder when q is divided by a. 6 Let j = -45 - -73. Calculate the remainder when j is divided by 10. 8 Let t = -21 - -30. What is the remainder when 26 is divided by t? 8 Let s(f) be the first derivative of f**4/4 - f**3/3 + 6*f + 2. Suppose -2*u = u. What is the remainder when 16 is divided by s(u)? 4 Let h(t) = -t**3 + 3. Let w be h(0). Suppose -1 = -m + 1, -4*p = w*m - 26. What is the remainder when 7 is divided by p? 2 Let o(u) = u**2 + 2*u - 2. Calculate the remainder when (-1 + 20)/((-2)/(-4)) is divided by o(-5). 12 Let x(d) = -15*d**3 + 0*d - 4*d - 25*d**3 + 3*d. Let w be x(1). Let o = 61 + w. What is the remainder when o is divided by 11? 9 Let x(j) = 20*j - 107. What is the remainder when x(10) is divided by 50? 43 Suppose -2*h - 7 = -u - 4*h, 0 = -4*u - h. Calculate the remainder when (-85 - u)*11/(-22) is divided by 11. 9 Let y = -38 + 55. Let l = 15 + -9. Suppose 0 = -4*c + 3*c + l. Calculate the remainder when y is divided by c. 5 Let m be 1255/2 - 3/6. Let y be 2/6 + m/9. Suppose -g = g - y. What is the remainder when g is divided by 9? 8 Let a be (6/2)/3 + 2. Suppose 0 = a*h + 32 - 128. Calculate the remainder when 93 is divided by h. 29 Calculate the remainder when 17 is divided by (-183)/(-15) + (-4)/20. 5 Let u(w) = w. Let k(q) = 7*q**2 - q + 1. Calculate the remainder when k(2) is divided by u(7). 6 Let b(d) = d**2 - d. Let a be b(-1). Suppose -v - a*v = 0. Suppose 0 = -3*o + 6 - v. What is the remainder when 5 is divided by o? 1 Let m(w) = -3*w - 3. Let p be m(-2). Suppose -15 = p*a - 4*a. What is the remainder when 42 is divided by a? 12 Suppose 0 = -5*f - 4*x + 34, 3*x = 3*f - 2*x - 50. Let k(q) = -3*q + 9. Let p be k(6). Let j = p - -13. Calculate the remainder when f is divided by j. 2 Let z(o) = -o**2 - o - 1. Let d be z(-2). What is the remainder when 2 is divided by d - 0 - 2*-2? 0 Suppose -8 = -h - 3*i + 17, -3*h = -5*i - 19. What is the remainder when 64 is divided by h? 12 Let z = -14 - -43. Calculate the remainder when z is divided by 16. 13 Suppose 2*g = 10 - 2. Let z = -11 + g. Calculate the remainder when 11 is divided by 4/((-4)/z) - 1. 5 Suppose 11 - 1 = 2*c, c - 175 = -5*q. Suppose -2*j = 4 - q. Calculate the remainder when 72 is divided by j. 12 Let k be -1 - (-1 + (1 - -12)). Let i = -9 - k. Calculate the remainder when 11 is divided by i. 3 Suppose -j - 3*y = 33, 5*j - 4*y + 105 = -7*y. Calculate the remainder when 34 is divided by j*(0 - (-1)/(-2)). 7 Suppose 0 = 2*i + r - 4*r - 41, 3*i - 2*r = 69. Calculate the remainder when 47 is divided by i. 22 Let p be 5*(8 - (-2 + 4)). Let i be 13 + -13 + 6/4*-14. Let v = i + p. Calculate the remainder when 17 is divided by v. 8 Suppose 3*c - i = 54, -c + 10 = -2*i - i. Calculate the remainder when 2/(-8) + 423/12 is divided by c. 16 Suppose -14*i + 6*i + 56 = 0. Calculate the remainder when 55 is divided by i. 6 Let g(c) = 2*c**2 - 2*c + 4. What is the remainder when g(4) is divided by 8? 4 Suppose 0 = -0*o + o - 12. Suppose -m - o = -g, -m = -2*g + 26 - 6. Let s(a) = -a**3 + 3*a + 1. Calculate the remainder when g is divided by s(-2). 2 Suppose -3*n - 3 = 3, 4*n = -3*s + 109. Let t be 2/(-2)*s*-1. Let b = t + -7. Calculate the remainder when b is divided by 17. 15 Let x(t) = -2 - 3*t + 3*t**2 - 4*t**2 - 3*t. Calculate the remainder when 10 is divided by x(-4). 4 Suppose 0 = -2*i - 2*d + 6 + 4, -i - 4*d + 14 = 0. Let l be 5/(-5)*2/i. What is the remainder when (-5 + 0)/(l/3) is divided by 4? 3 Let v(d) = -d**2 - 14*d - 11. What is the remainder when 85 is divided by v(-11)? 19 Suppose -3*y = g - 8*y - 31, 5*y = -2
{ "pile_set_name": "DM Mathematics" }
))/(h**17*h))/(h/h**(5/6)*h)**38 assuming h is positive. h**(-2476/39) Simplify ((z*z*z**11)/z**15)**(3/23) assuming z is positive. z**(-6/23) Simplify a/a**18*a**(-4/7)*(a**(-13)/a*a)**(-2/19) assuming a is positive. a**(-2155/133) Simplify t/(t*t/(t*t**(-12)*t*t))*t*t**(-2/27)*t**(-21)*t**(-2/23) assuming t is positive. t**(-18730/621) Simplify (f**(1/64)*f**34)**(-19) assuming f is positive. f**(-41363/64) Simplify (g/((g*g**(-2/3)*g)/g))**(1/11)/(g/(g**8/g))**7 assuming g is positive. g**(1388/33) Simplify (y**(2/33)*y**5)/((y*y**(2/25)*y)/(y*y*y/(y/((y*y**(-7/3)*y)/y*y*y))*y*y)) assuming y is positive. y**(2103/275) Simplify (m**(-4)*m)**(-20)*(m/m**(-21))/(m**(-7/8)/m) assuming m is positive. m**(671/8) Simplify g*g/(g*g**(-2/13)*g)*g*g**19*g**(4/9)*g/(g**(-1)*g) assuming g is positive. g**(2527/117) Simplify (k*k/(k*(k/(k*k**(-11/3))*k)/k))**(-50)*k**(9/7)/k**(-2/19) assuming k is positive. k**(53755/399) Simplify (o*o**(12/7)*o*o**(-37))**23 assuming o is positive. o**(-5359/7) Simplify ((f/f**(-2/9))/(f/(f*f/f**(-1)))*((f*f*f**4)/f)/(f*f**(4/5)))**7 assuming f is positive. f**(2023/45) Simplify (b/(b*(b*b**(-24))/b)*b*b/(b*b*b*(b/b**(-3/20))/b))/(b*b/(b*((b*b**(4/7))/b)/b)*b**18) assuming b is positive. b**(479/140) Simplify (v/v**(-8)*v**12)/(v**(-1)/v**12) assuming v is positive. v**34 Simplify ((w**2*w*w*w)**34/(w/w**0*w**(-3)))**18 assuming w is positive. w**3096 Simplify ((l/(l**23*l)*l)/(l/(l**(-6/19)/l)))**(2/9) assuming l is positive. l**(-308/57) Simplify ((p*p*p**(-2/5)*p*(p**5*p*p)/p)/(p*p*p**(1/4)*p*p)**17)**16 assuming p is positive. p**(-5092/5) Simplify (u/(u**5/u))/u**(-1/4)*u**(-13)*u/u**(1/5) assuming u is positive. u**(-299/20) Simplify (t/(t*t**(-2/3)))**(2/33)/((t/(((t**(-9/5)*t)/t*t*t)/t))/t**(1/2)) assuming t is positive. t**(-1247/990) Simplify (j**(1/27)*j**(-16)/j)/(j**(-19))**(-2/13) assuming j is positive. j**(-6980/351) Simplify ((p/p**(4/15))/(p**(-11)*p*p))/(p**(-6))**(-17) assuming p is positive. p**(-1384/15) Simplify (k*k**(-3/8)/k)/k**(-33)*k**(-3/4)*k**(-24) assuming k is positive. k**(63/8) Simplify ((y**(1/18)/(y**15*y))**(1/19))**48 assuming y is positive. y**(-2296/57) Simplify (k**3*k)/k**15*(k*k**(-8)/k)/k*k**14 assuming k is positive. k**(-6) Simplify (l/l**(-3/14)*l/(l**15*l*l))/(l**(3/8))**10 assuming l is positive. l**(-519/28) Simplify (w**(-1/15)/(w*w**(-3)))**(-21) assuming w is positive. w**(-203/5) Simplify (n*n*n**(2/3)*n**(3/10)/n)/(n**(-5)/n**(-23/3)) assuming n is positive. n**(-7/10) Simplify ((b/((b/(b**5*b))/b))/b*b)**32/(b**(-17)/((((((b/(b**5*b)*b)/b)/b*b)/b)/b)/b)) assuming b is positive. b**233 Simplify (h*h**9)/h**(-12)*h/h**(-17/5)*h/(h**(5/7)*h*h) assuming h is positive. h**(864/35) Simplify ((q*q*q*q*q/(q*q/q**(1/6)))/q**(3/5))/(q**(1/4))**(-10/3) assuming q is positive. q**(17/5) Simplify (((o**8)**(-4/21))**(3/10))**(-5/9) assuming o is positive. o**(16/63) Simplify (k/(k*k**(-3/4))*(k/(k*k**3))/k*k**(2/5)/(k**(-1)*k))**(16/7) assuming k is positive. k**(-228/35) Simplify (b*b/(b**(2/11)*b*b)*b)**(-1/16)*(b**(11/2))**(-40) assuming b is positive. b**(-38729/176) Simplify (((i*i**(12/5))/(i*i**16))**(8/13))**(-1/5) assuming i is positive. i**(544/325) Simplify ((z**(-7))**27)**(-1/5) assuming z is positive. z**(189/5) Simplify (w**45*w/w**(-26))**30 assuming w is positive. w**2160 Simplify q**17*q**(1/22)*q**(-33)*q/((q*(q*q**(2/9))/q*q)/q) assuming q is positive. q**(-3203/198) Simplify (k**(1/2)*k)**(-38)/(k**(-21)/k**(-2/23)) assuming k is positive. k**(-830/23) Simplify (q**(-11))**(-2/55)/(q**13*q*q**4) assuming q is positive. q**(-88/5) Simplify r*(r/((r**(-2/23)/r)/r))/r*r*r*r**(-6/7)*r*r**1/(r**8*r*r*r) assuming r is positive. r**(-768/161) Simplify (j/(j*j/(j/j**(6/5)*j*j))*j)**(1/24)/(j**(-11/3)*j*j*j**(-8/7)) assuming j is positive. j**(2423/840) Simplify (i**(3/17)/i)**(-30)/(i**(-5)*i/i**10*i) assuming i is positive. i**(641/17) Simplify (((x/(((((x**0*x)/x)/x)/x)/x))/x)**16/(x/x**(-1))**(1/51))**(-15) assuming x is positive. x**(-12230/17) Simplify (d/d**3)**(-5/7)*(d/(d**(-2/23)*d*d))**(-42) assuming d is positive. d**(6404/161) Simplify (p**7*p*p**(-7)*p*p**7/(p/(p/(p/(p/((p*p**(-5))/p))))))**3 assuming p is positive. p**42 Simplify ((p*p**(-2/7)*p*p*p)**(-8)/(((p/(p/(p/p**5)))/p)/p**5))**50 assuming p is positive. p**(-6900/7) Simplify ((m*m**(-3/11))/m)/(m**(15/8)/m)*(m*m*m**14*m)/m**(-21) assuming m is positive. m**(3243/88) Simplify n*n/((n*(n**(-1/5)*n)/n)/n)*n*n*n*n**(-3/17)*(n**1)**(2/3) assuming n is positive. n**(1451/255) Simplify (d**(4/3))**(-49)/(d/d**(-2/5))**27 assuming d is positive. d**(-1547/15) Simplify ((p**(-32)/p)/p)**(1/63)*p**(-3/7)/p**32 assuming p is positive. p**(-2077/63) Simplify (((x**(1/2))**10)**4)**(-3/14) assuming x is positive. x**(-30/7) Simplify (t/t**(17/5))/(t**(-5/2)*t)*t*t**(-15)*t*t**(-1/7) assuming t is positive. t**(-983/70) Simplify (q/(q**(-2)/q))/(q*q**(-6)*q)*(q**(3/7)/q)/((q*q*q/q**(-11))/q) assuming q is positive. q**(-39/7) Simplify (b*b/(b*b**(-9)))/b**8*(b/(b/(b/b**(-10))))/b**4 assuming b is positive. b**9 Simplify (g**(-1)/g)**9*g/g**(-22)*g*g*g*g**(-19/2)*g*g assuming g is positive. sqrt(g) Simplify a/(a/a**(-1/4)*a)*a*a**(3/13)*a**14/a**(2/5) assuming a is positive. a**(3531/260) Simplify (((i*(i/i**(-2/11))/i)/(i/i**(-19)*i*i))**(-16/3))**42 assuming i is positive. i**(51296/11) Simplify (f/(f**(-6)/f)*f)/f*f*(f/f**(-2/5))/f*f**7*f**(8/5) assuming f is positive. f**18 Simplify (f*f**1*f*f)**(-20)/(f/(f*f**(3/7))*f**(3/4)) assuming f is positive. f**(-2249/28) Simplify (a*a/(a**(-2)*a*a))**(-14)/(a**(-4/3)*((a**(-2/3)*a)/a)/a) assuming a is positive. a**(-25) Simplify (n/n**(1/18))/n**(1/6)*(n/(n*n**14))/(n**22/n) assuming n is positive. n**(-308/9) Simplify (l/(l*l/((l*l**5)/l)))**(-12)/(l**(-18/5)/(l**6*l)) assuming l is positive. l**(-187/5) Simplify ((o*o**(-2/5))**(32/7)*o/(o*(o*o**7)/o)*o**(-2/17))**(2/13) assuming o is positive. o**(-5206/7735) Simplify (d/((d/d**15)/d))/((d*d*d**0)/d)*d/d**14*d**(1/2) assuming d is positive. d**(5/2) Simplify ((b**9/b)/(b*b**(-17)))/((b*(b*b**(-1/12))/b*b)/(b/(b/b**2))) assuming b is positive. b**(289/12) Simplify g**39*g*g**(-10)/g*(((g/(g*((g**(-6)/g)/g)/g))/g)/g*g)**(-17) assuming g is positive. g**(-107) Simplify ((u/u**(3/8))/(u/(u**8/u)))/((u/(u*(u/(u/u**(-6)*u))/u*u))/(u/(((u**(2/3)*u*u*u)/u)/u))) assuming u is positive. u**(-25/24) Simplify (v**(-2))**(1/23)*(v/(v/(v*(v/(v/((v/v**(-5/3))/v)))/v)))/v*v**(-1/4)*v assuming v is positive. v**(367/276) Simplify m/(m**(-1/3)*m)*m**(-2/9)*m/(m**(1/6)*m*m)*m*m**(-4) assuming m is positive. m**(-73/18) Simplify n**(-20)*n**(6/17)*(n**7)**(3/4) assuming n is positive. n**(-979/68) Simplify ((z**(-8)/z)/(z**(-3)*z))/((z/((z/(z*z/z**(-1/17)))/z))/z**(3/4)) assuming z is positive. z**(-633/68) Simplify ((((f*f**(-1)*f*f)/f)/f)/f**(-4/11))/(f*f**3*f)**(-46) assuming f is positive. f**(2534/11) Simplify (t**1*t)/(t/(t**(-7)*t)*t*t)*(t**(4/7))**(1/7) assuming t is positive. t**(-339/49) Simplify (c*c*c*(c**(-1)*c)/c*c)**(-7/2)/(c*c*c/c**(-12)*c**14) assuming c is positive. c**(-79/2) Simplify ((y/y**24)/(y**(1/29)*y))**(-1/9) assuming y is positive. y**(697/261) Simplify g/(g**(1/5)*g*g)*g*g**(5/6)/g*(g**2)**(-9/8) assuming g is positive. g**(-157/60) Simplify (s**(-2/3)/s)/s**8*s**(-12)*s/(s/(s/s**(-2))) assuming s is positive. s**(-56/3) Simplify n**(-8)/(n*n**(-10/7))*(n**0)**(-16) assuming n is positive. n**(-53/7) Simplify r*r*r**(-1/4)*r*r**(1/7)*((r/(((r*(r*r**(-2/31))/r)/r)/r))/r)/(r/r**3*r) assuming r is positive. r**(4303/868) Simplify ((c**(-6)/(c*c**(-10)*c))**(21/2))**(20/9) assuming c is positive. c**(140/3) Simplify s*s**(-17)*s/s**(-8)*(s**(-2/23))**(2/59) assuming s is positive. s**(-9503/1357) Simplify c**(-7)/((c*c**7*c*c)/c)*c**14*c/(c*c*c/(c*((c**(-1/7)*c)/c)/c)*c)*c*c assuming c is positive. c**(-22/7) Simplify (m**7*(m*m**(-1/6))/m)/(m**(3/10)/(((m/(((m*m**(1/2))/m*m)/m))/m)/m*m)) assuming m is positive. m**(181/30) Simplify (h**(-2/9)/(h**3*h*h)*(h**1/h)**(11/4))**23 assuming h is positive. h**(-1081/9) Simplify (o**(5/2))**(5/9)/(o**15*o**12) assuming o is positive. o**(-461/18) Simplify ((u*u**(-5/2)/u*u*u*((u**(-7)*u)/u)/u)**(3/5))**(1/10) assuming u is positive. u**(-51/100) Simpli
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 1378809. 3, 223, 229 What are the prime factors of 1032678? 2, 3, 103, 557 List the prime factors of 12387320. 2, 5, 11, 47, 599 List the prime factors of 5742845. 5, 19, 61, 991 What are the prime factors of 650466? 2, 3, 36137 List the prime factors of 3483537. 3, 59, 19681 List the prime factors of 162106. 2, 7, 11579 What are the prime factors of 437355? 3, 5, 9719 What are the prime factors of 33438570? 2, 3, 5, 11, 107, 947 List the prime factors of 2530361. 2530361 List the prime factors of 245412. 2, 3, 17, 401 What are the prime factors of 16722196? 2, 23, 181763 List the prime factors of 9077495. 5, 7, 67, 79 List the prime factors of 156909. 3, 193, 271 List the prime factors of 4367019. 3, 1455673 List the prime factors of 2093376. 2, 3, 10903 What are the prime factors of 119270? 2, 5, 11927 What are the prime factors of 335146? 2, 7, 37, 647 List the prime factors of 5052173. 7, 721739 What are the prime factors of 5049956? 2, 1069, 1181 List the prime factors of 299791. 349, 859 What are the prime factors of 346916? 2, 86729 What are the prime factors of 1720529? 47, 36607 List the prime factors of 5308504. 2, 663563 List the prime factors of 318785. 5, 103, 619 List the prime factors of 845951. 845951 List the prime factors of 2277164. 2, 59, 9649 What are the prime factors of 751582? 2, 13, 137, 211 What are the prime factors of 6803730? 2, 3, 5, 113, 223 What are the prime factors of 730035? 3, 5, 16223 What are the prime factors of 403932? 2, 3, 41, 821 What are the prime factors of 76242? 2, 3, 97, 131 What are the prime factors of 325101? 3, 7, 113, 137 List the prime factors of 1737819. 3, 353, 547 What are the prime factors of 52153? 52153 List the prime factors of 10260728. 2, 607, 2113 List the prime factors of 82605. 3, 5, 5507 What are the prime factors of 1391235? 3, 5, 137, 677 List the prime factors of 3387821. 3387821 What are the prime factors of 8756704? 2, 11, 24877 What are the prime factors of 2635450? 2, 5, 52709 List the prime factors of 1413998. 2, 706999 List the prime factors of 19261446. 2, 3, 47, 167, 409 What are the prime factors of 2334590? 2, 5, 157, 1487 List the prime factors of 2502436. 2, 625609 What are the prime factors of 263142? 2, 3, 11, 443 What are the prime factors of 450673? 271, 1663 List the prime factors of 5558197. 97, 57301 What are the prime factors of 443392? 2, 433 List the prime factors of 967137. 3, 179, 1801 List the prime factors of 1058524. 2, 264631 List the prime factors of 16106483. 16106483 List the prime factors of 200956. 2, 7, 7177 List the prime factors of 6395791. 17, 439, 857 List the prime factors of 318655. 5, 101, 631 List the prime factors of 946737. 3, 11, 73, 131 List the prime factors of 25765188. 2, 3, 2147099 List the prime factors of 67810. 2, 5, 6781 List the prime factors of 368218. 2, 31, 5939 What are the prime factors of 2198393? 547, 4019 What are the prime factors of 155945? 5, 31189 List the prime factors of 3577080. 2, 3, 5, 13, 2293 What are the prime factors of 267870? 2, 3, 5, 8929 List the prime factors of 7517834. 2, 101, 37217 What are the prime factors of 3018116? 2, 79, 9551 List the prime factors of 994876. 2, 248719 What are the prime factors of 616142? 2, 239, 1289 What are the prime factors of 3386459? 1013, 3343 What are the prime factors of 4892? 2, 1223 What are the prime factors of 8251006? 2, 1063, 3881 What are the prime factors of 5521597? 5521597 List the prime factors of 5337719. 43, 124133 What are the prime factors of 391001? 13, 19, 1583 List the prime factors of 51074. 2, 25537 What are the prime factors of 416003? 7, 67, 887 List the prime factors of 2335932. 2, 3, 43, 503 What are the prime factors of 109161? 3, 13, 311 List the prime factors of 15368067. 3, 11, 13, 11941 What are the prime factors of 67167? 3, 17, 439 List the prime factors of 534086. 2, 7, 38149 What are the prime factors of 9949885? 5, 11, 180907 What are the prime factors of 352199? 23, 15313 List the prime factors of 2192470. 2, 5, 7, 31321 What are the prime factors of 618115? 5, 181, 683 List the prime factors of 901731. 3, 17, 17681 What are the prime factors of 4027248? 2, 3, 27967 What are the prime factors of 12568027? 109, 115303 List the prime factors of 10103860. 2, 5, 13, 38861 What are the prime factors of 43462? 2, 31, 701 List the prime factors of 3518531. 31, 113501 List the prime factors of 4574701. 31, 147571 What are the prime factors of 154605? 3, 5, 11, 937 List the prime factors of 5088333. 3, 19, 89269 What are the prime factors of 520559? 13, 23, 1741 What are the prime factors of 282856? 2, 7, 5051 What are the prime factors of 13894324? 2, 31, 89, 1259 List the prime factors of 16100306. 2, 1549, 5197 What are the prime factors of 6444220? 2, 5, 419, 769 What are the prime factors of 1165429? 43, 27103 What are the prime factors of 26721479? 26721479 List the prime factors of 789361. 17, 59, 787 What are the prime factors of 18203329? 29, 59, 10639 List the prime factors of 16888888. 2, 17, 124183 What are the prime factors of 1276291? 83, 15377 List the prime factors of 239839. 373, 643 What are the prime factors of 1473495? 3, 5, 23, 4271 What are the prime factors of 17336129? 17336129 What are the prime factors of 364471? 364471 List the prime factors of 1748124. 2, 3, 7, 991 What are the prime factors of 254715? 3, 5, 16981 What are the prime factors of 1302857? 41, 43, 739 List the prime factors of 680999. 11, 61909 List the prime factors of 17828796. 2, 3, 1485733 List the prime factors of 613557. 3, 7, 9739 What are the prime factors of 1282955? 5, 59, 4349 List the prime factors of 1155145. 5, 103, 2243 List the prime factors of 720755. 5, 7, 20593 List the prime factors of 1930619. 47, 41077 List the prime factors of 571555. 5, 114311 What are the prime factors of 1228292? 2, 13, 23, 79 What are the prime factors of 11483995? 5, 73, 431 List the prime factors of 35675. 5, 1427 What are the prime factors of 245725? 5, 9829 What are the prime factors of 2504342? 2, 103, 12157 List the prime factors of 114241. 23, 4967 List the prime factors of 372978. 2, 3, 6907 List the prime factors of 10908748. 2, 2727187 List the prime factors of 1324091. 19, 227, 307 What are the prime factors of 99311? 47, 2113 What are the prime factors of 2881560? 2, 3, 5, 11, 37, 59 What are the prime factors of 311042? 2, 155521 List the prime factors of 3130245. 3, 5, 59, 131 List the prime factors of 69185. 5, 101, 137 List the prime factors of 4478547. 3, 19, 78571 List the prime factors of 39962. 2, 13, 29, 53 What are the prime factors of 360483? 3, 107, 1123 What are the prime factors of 5135089? 1451, 3539 List the prime factors of 2480687. 11, 61, 3697 What are the prime factors of 177380? 2, 5, 7, 181 List the prime factors of 982484. 2, 245621 List the prime factors of 515953. 457, 1129 List the prime factors of 279506. 2, 139753 What are the prime factors of 610957? 610957 What are the prime factors of 3711907? 3711907 List the prime factors of 163966. 2, 11, 29, 257 List the prime factors of 222139. 17, 73, 179 List the prime factors of 2984115. 3, 5, 198941 What are the prime factors of 209813? 209813 List the prime factors of 135173. 135173 What are the prime factors of 299897? 13, 17, 23, 59 What are the prime factors of 270061? 11, 24551 What are the prime factors of 616948? 2, 89, 1733 What are the prime factors of 695569? 7, 99367 List the prime factors of 5319796. 2, 1329949 What are the prime factors of 1480165? 5, 23, 61, 211 What are the prime factors of 7024945? 5, 1404989 List the prime factors of 7213423. 7, 17, 60617 What are the prime factors of 719714? 2, 41, 67, 131 What are the prime factors of 8451627? 3, 71, 39679 What are the prime factors of 6652167? 3, 439, 5051 List the prime factors of 3097566. 2, 3, 37, 4651 List the prime factors of 5604980. 2, 5, 280249 List the prime factors of 427. 7, 61 List the prime factors of 135543. 3, 45181 List the prime factors of 1610939. 11, 146449 List the prime factors of 150141. 3, 50047 What are the prime factors of 2445395? 5, 19, 25741 List the prime factors of 570060. 2, 3, 5, 3167 What are the prime factors of 12962588? 2, 31, 104537
{ "pile_set_name": "DM Mathematics" }
ssuming k is positive. k**(-19602/1057) Simplify (p**1)**(-49)*p**(-2/5)*p**12 assuming p is positive. p**(-187/5) Simplify (l*l/(l/l**(21/5)))**(-50)/(l*l/l**(-8/11)*l*l/l**(11/8)*l) assuming l is positive. l**(-23263/88) Simplify (h/(h*h/((h*h**19)/h)*h))/(h**(-11)/h)*(h**(-14)/h)/h*h/(h/(h**26/h)) assuming h is positive. h**38 Simplify (w/w**(-1))**(-36)*w**(-1/5)/(w/w**4) assuming w is positive. w**(-346/5) Simplify (((k*k**2)/k)**(-12/7))**(2/31) assuming k is positive. k**(-48/217) Simplify (((x**1)**(-14))**(-2))**(5/7) assuming x is positive. x**20 Simplify (i**(-4/3)/(i**10*i))/((i*i**(-3))/(i*i*i/(i/(i/i**(-1/6))*i))) assuming i is positive. i**(-49/6) Simplify (g**(-3))**(-34)/(g**(-18)*g*g**(2/15)) assuming g is positive. g**(1783/15) Simplify (((n/(n*n**(-2/3)))/n*n*n/((n*n*n*n**(-4)*n)/n))/((((n/((n*n**(-3/2)*n)/n*n))/n)/n)/n**(-7)))**(-11) assuming n is positive. n**(187/6) Simplify j/((j/((j/j**(-13))/j)*j)/j)*j**(-5)*j*(j/(j/j**1))**8 assuming j is positive. j**17 Simplify ((b**(2/9))**(1/12)/((b/(b*b*b/b**(-1)))/b)**(-15))**(-41) assuming b is positive. b**(132799/54) Simplify (d**(-22)/d**21)/((d**10/d)/(d*d**28)) assuming d is positive. d**(-23) Simplify ((i/i**(1/2))**(-13/3)/(i**(2/19)/((i**5/i)/i*i)))**(2/7) assuming i is positive. i**(197/399) Simplify (d**15*(d**(-1/5)*d)/d)/(d**(1/5)*d/(d*d**(9/2))*d*d*d) assuming d is positive. d**(161/10) Simplify (((r**(-1/16)*r)**2)**(-1/10))**(-3/14) assuming r is positive. r**(9/224) Simplify (((t/t**(-6/11))/(t/t**5*t))/(t**(-1/5)/(t*(t/(t/t**(-8/5)))/t*t)))**8 assuming t is positive. t**(1824/55) Simplify w**(-5/3)/(w**7/w*w)*(w**(-2)/w)**(-38) assuming w is positive. w**(316/3) Simplify ((k**(-20/7)/k)/((k*k*k*k/(k/k**(7/5))*k)/k))/(k**(6/13))**11 assuming k is positive. k**(-6067/455) Simplify (b**(-9))**(-31)*b**(-4/5)*b*(b**(-19)*b)/b assuming b is positive. b**(1301/5) Simplify (h**(4/13)/h**(2/7))**(4/9) assuming h is positive. h**(8/819) Simplify (((z*(z/(z*(z*z*z**(-2))/z)*z)/z)**43)**(-16/7))**(-8) assuming z is positive. z**(11008/7) Simplify (i/(i*(i/((i**(2/33)*i)/i))/i))/i**(-13)*i*i**(2/15)*i*i/(i/i**(-1/15)) assuming i is positive. i**(832/55) Simplify (s/(s**(-2/23)/s)*s**12)/(s**1/s)**(-11) assuming s is positive. s**(324/23) Simplify (((t**3)**(-1/44))**12)**12 assuming t is positive. t**(-108/11) Simplify (((h/h**(-2))**(2/89))**(-2/39))**(-37) assuming h is positive. h**(148/1157) Simplify ((b**(2/37)/b)/((b/((b**(-7/8)*b)/b))/b))/(b/(b/(b/(b*b**(1/26)))))**(-43) assuming b is positive. b**(-13371/3848) Simplify (((s*s/(s*s/(s/s**0)))**(10/11))**21)**19 assuming s is positive. s**(3990/11) Simplify (r**2*(r/r**16*r)/r)/(r*r*r*r**(7/4)*r*r*r**8) assuming r is positive. r**(-111/4) Simplify (((l/l**45)/l*l)/l**4)**(-27) assuming l is positive. l**1296 Simplify (((o/o**(-1))/o*o**8)/(o**(-6)*o**(-8)))**(-45) assuming o is positive. o**(-1035) Simplify v**(-1/33)/v**(-27)*((v/((v*((v**0*v*v)/v)/v)/v))/v)**(-4) assuming v is positive. v**(890/33) Simplify (b/(b/b**9))**1/(b**7/b*b)**(-1/17) assuming b is positive. b**(160/17) Simplify ((o**(-2/5)*o**(2/15))**(-11/3))**(-16/5) assuming o is positive. o**(-704/225) Simplify (w/(w/w**(-5)))/w**(-1/4)*w**(-5/8)/(w*w*w*(w*w**(-15))/w) assuming w is positive. w**(53/8) Simplify ((u**(-8)/u**5)/((u**(-8)/u*u)/(u*u**(1/7)*u)))**(8/15) assuming u is positive. u**(-32/21) Simplify (w/(w/(w/(w*w/((w/(((w**(-13)/w)/w)/w))/w)*w))))/(w/w**(-2)*w)*(w/(w/w**(-16)))/(w*w**11) assuming w is positive. w**(-18) Simplify (r*r**(-4/3))**12/(r**(7/3)*(r*(r/r**2*r)/r)/r) assuming r is positive. r**(-16/3) Simplify ((n**1)**(-10/11)*(n**(-1/3))**(-7))**21 assuming n is positive. n**(329/11) Simplify (f**(-3/2))**41/(f**(-1/3)*f/(f**9*f)*f*f) assuming f is positive. f**(-325/6) Simplify (l**(-22)*l/(l*l*l*l/((l*l*l*l**(1/2))/l)))**(5/13) assuming l is positive. l**(-225/26) Simplify ((b**1)**12/(b/(b/(b*b**2*b))*b)**13)**(13/2) assuming b is positive. b**(-689/2) Simplify (c*c**(-7))/(c**(-5)*c*c)*(c**(-2/7))**(-2/53) assuming c is positive. c**(-1109/371) Simplify (x**(-2/9)/(x*x/x**(-9/5)))/(x**(-6))**(-47) assuming x is positive. x**(-12871/45) Simplify ((h**(-2/11)/h)/h)**2/(h**(-3))**2 assuming h is positive. h**(18/11) Simplify ((b*b**7)/b)/((b/(b*b**(8/5)))/b)*b**(-22)/(b/b**(-3)) assuming b is positive. b**(-82/5) Simplify (r**(-2))**(-27)/(r**(-1/6)/r**(-1)) assuming r is positive. r**(319/6) Simplify ((v*v**(-1/2))**(1/18)/(v**(-5/3)*v**(2/3)))**(-2/7) assuming v is positive. v**(-37/126) Simplify (i**5*i**(-5/4)*(i/(i/i**(-2)*i))**(-11/4))**49 assuming i is positive. i**588 Simplify (l**5)**(8/13)*l**(-3)*l*l*(l*l**3*l)/l assuming l is positive. l**(79/13) Simplify (w**(-1/5)/w**(-13))**(-4/13) assuming w is positive. w**(-256/65) Simplify q*q**(-11)*q/q**(-14)*q/(q*q**2)*q*q**0*q*q assuming q is positive. q**6 Simplify a/a**(-4/7)*a**(-2)*a*(a**(-1/5))**(-10/9) assuming a is positive. a**(50/63) Simplify ((m*m*m*m**23)**(-17))**39 assuming m is positive. m**(-17238) Simplify (((l**(-31)/l)/l)/l*(l**(6/13)/l*l)/l)**3 assuming l is positive. l**(-1347/13) Simplify x**(-10)/x**(-1/10)*(x/x**8)/x*x*x**(-17) assuming x is positive. x**(-339/10) Simplify (a/(a**(-24)/a)*(a*a**7/a)/a*a)/((a*a**(17/6))/(a*(a**(-4/15)/a)/a)) assuming a is positive. a**(279/10) Simplify ((x/x**0*x**(-2/19))/(x**(2/3))**(1/63))**(1/9) assuming x is positive. x**(3175/32319) Simplify ((q*q**(2/23)*q**(-3/2))**35)**(2/11) assuming q is positive. q**(-665/253) Simplify ((u**(-1/2)*u)**(-1/15)*u**(1/5)/((u/(u**(3/7)/u)*u)/u))**(-37) assuming u is positive. u**(2183/42) Simplify ((f*f/((f**(-19)/f)/f*f*f))/f**(12/7))**35 assuming f is positive. f**675 Simplify ((m/((m/(m/(m/m**18)))/m))/m)**(-2/101)/(m/m**(9/8)*m*m**10) assuming m is positive. m**(-9075/808) Simplify (u/(u**1*u*u)*u*u*u**(1/21))/(u**(-1)*u*(u*u*u**(-11/3))/u) assuming u is positive. u**(19/7) Simplify (k**2)**(-23)*k**(1/19)*k*k/(k/(k*k**(-2/19)*k))*k assuming k is positive. k**(-799/19) Simplify s**(-11)*s/(s**(2/3)*s)*s**(-2/7)/(s/(s*s/(s*s*s**(3/4)*s))) assuming s is positive. s**(-1235/84) Simplify (s**(-1/59)/s**(-3))**(-22) assuming s is positive. s**(-3872/59) Simplify ((g**35)**(-43))**5 assuming g is positive. g**(-7525) Simplify ((a/a**(-1))/((a**6*a*a*a)/a)*a/((a**(-1/2)*a*a)/a)*a*(a*a**4*a)/a)**25 assuming a is positive. a**(25/2) Simplify (m/m**(-2/5))**33*m**(-6/5)*m/(m/m**(1/6))*m assuming m is positive. m**(277/6) Simplify h**(-22)*h**(-2)*h**(20/7)*h*h*h/(h*h**(-1/48)/h) assuming h is positive. h**(-6089/336) Simplify ((n**18*n*n*n**6*n)**(-2/87))**49 assuming n is positive. n**(-882/29) Simplify ((b/b**(-11))/b**(1/5)*(b**(-1/3)/b*b*b*b)/(b*(b*b**(-3/13))/b))**(48/7) assuming b is positive. b**(39616/455) Simplify (t*(t/((t/(t/(t**(3/5)*t)))/t)*t)/t)**24*(t/(t/(t/t**(-3/5))*t))/t**(-1/13) assuming t is positive. t**(2228/65) Simplify (k**(-16)*k)/(k*(k*k/(k*k**(-23/2)))/k)*(k**(2/11)*k)/(k**(-1/14)/k) assuming k is positive. k**(-1944/77) Simplify ((v**(-18)*v)/(v/v**(-1/12)*v))/((v/v**(-19/2))/(v/(v/(v/(v**(-21)*v))))) assuming v is positive. v**(-103/12) Simplify (h**16/((h*h**(-10))/h*h))**(2/23) assuming h is positive. h**(50/23) Simplify (z**(2/11)/(z**(-4)*z*z)*z*z**(2/7)*z*(z*z*z/z**(-2/5))/z*z)**26 assuming z is positive. z**(78754/385) Simplify ((z*z**(-8))/z)**37/((z*z*z*z*z/(z**3/z))/(z**24*z)) assuming z is positive. z**(-274) Simplify ((g/g**(2/13))/g)**(16/3)*((g/(g*g*g**(-17)*g*g*g))/g*g)/(g*g**(-14/5)) assuming g is positive. g**(2726/195) Simplify (s/s**(-28))/(s*(s**23*s*s)/s)*s**(-9/5)/s*s**(-15)/s*s assuming s is positive. s**(-69/5) Simplify (z/z**(-3/4)*z*z*((z/z**(-3)*z)/z)/z)**(-32/3) assuming z is positive. z**(-72) Simplify (p/(p/((p*p*p**(-3))/p)))/(((p/(p/p**(-2/29)))/p)/p)*p*p**(-25)/p*p**(-6/17) assuming p is positive. p**(-12465/493) Simplify (((g**(2/9)/g)/g)/g*g**10)/(g**(4/9)/g**11) assuming g is positive. g**(160/9) Simplify ((y*y/(y/(y*y**(-2))))**46/(y**1/y**(4/11)))**(4/5) assuming y is positive. y**(-28/55) Simplify (k**8*k/((k/(k/(k**(2/23)*k*k)*k))/k)*k*(k**0)**(-1/7))**(-2/51) assuming k is positive. k**(-152/391) Simplify (((d*d*d*d**(-2/3)*d)/d)/d)**(4/11)/(d**3)**30 assuming d is positive. d**(-2954/33) Simplify (v/(v*v/v**1
{ "pile_set_name": "DM Mathematics" }
41044*u - 13683*u - 13684*u. -u Collect the terms in -798*h - 843*h + 1295*h. -346*h Collect the terms in -2 + 89*m - 127*m - 95*m + 2. -133*m Collect the terms in -17*k**2 - 5*k - 622 + 3*k + 622. -17*k**2 - 2*k Collect the terms in 1734*c - 1734*c + 30*c**2. 30*c**2 Collect the terms in -275 + 136 + 139 + 24*o**2. 24*o**2 Collect the terms in 2709 + 5*s**2 + 33*s**3 - 2709. 33*s**3 + 5*s**2 Collect the terms in 4*v + 50846 - 16*v - 50846. -12*v Collect the terms in 3*z - 2*z - z + 40*z**2 - 165*z**2. -125*z**2 Collect the terms in 25*n - 25*n + 9252*n**2 - 1323*n**2. 7929*n**2 Collect the terms in 357*u**2 + 380*u**2 + 396*u**2 - 1139*u**2. -6*u**2 Collect the terms in -3*f + 5*f + 7*f - 7*f + 218. 2*f + 218 Collect the terms in 42312765*v + 42312764*v - 84625532*v. -3*v Collect the terms in r - r + 6276*r**3 - 7118*r**3. -842*r**3 Collect the terms in -86*c - 125*c + 149*c. -62*c Collect the terms in -145885 + 437532 + h - 145883 - 145764. h Collect the terms in -12 - 1052*i**2 + 2124*i**2 - 1069*i**2. 3*i**2 - 12 Collect the terms in -i**2 - 58 - 4 + 62 + 3*i**2. 2*i**2 Collect the terms in f + 25 - 3*f**2 - 6*f**2 + 5*f**2. -4*f**2 + f + 25 Collect the terms in -7*u - u + u**2 + 6*u - u + 3*u. u**2 Collect the terms in 13 - 31 + 34 - 28*g**3. -28*g**3 + 16 Collect the terms in -335816*i + 167914*i + 167910*i - 5 + 3. 8*i - 2 Collect the terms in -1166*f - 12*f - 2945*f. -4123*f Collect the terms in 82*q**3 + 2*q**2 + 3 + 234*q**3 + 233*q**3 - 74*q**3. 475*q**3 + 2*q**2 + 3 Collect the terms in -2091*d**3 - 214*d**3 - 739*d**3. -3044*d**3 Collect the terms in 187*x**3 - 62*x**3 - 63*x**3 - 54*x**3. 8*x**3 Collect the terms in -25*f**3 - f + 11*f**3 + 4*f. -14*f**3 + 3*f Collect the terms in -13 - 35*x - 79*x - 1. -114*x - 14 Collect the terms in -1238 + 2*s**2 + 2434 + 5*s**3 - 2*s**2 - 1196. 5*s**3 Collect the terms in -3*q**3 + 28*q**3 - q**2 - 22*q**3 - 121*q + 36*q**3. 39*q**3 - q**2 - 121*q Collect the terms in -21*y - 71*y**3 - 69*y**3 - 62*y + 142*y**3 - 35*y. 2*y**3 - 118*y Collect the terms in -24*d - 13*d - 33*d + 64*d + 1. -6*d + 1 Collect the terms in -12*j - 8*j + 107 + 105 - 212 + j**2. j**2 - 20*j Collect the terms in -4*o - 18*o - 9*o - 4*o + 95*o - 56*o. 4*o Collect the terms in -623*a + 1186*a - 557*a + 3. 6*a + 3 Collect the terms in 63*w**3 + 3682*w - 61*w**3 - 386*w - 46*w. 2*w**3 + 3250*w Collect the terms in o**3 - 244*o + 78*o + 83*o - 47 + 83*o. o**3 - 47 Collect the terms in -440 + 8*a + 220 - 325*a + 220. -317*a Collect the terms in -55*x - 9*x + 66*x. 2*x Collect the terms in 7531*d**3 - 14872*d**3 + 7349*d**3. 8*d**3 Collect the terms in 3608*z + 3 - 3 - 258*z. 3350*z Collect the terms in -7 - 1231*q + 630*q + 602*q. q - 7 Collect the terms in -601*a**2 - 610*a**2 - 594*a**2 + 1805*a**2 - 11 - 3*a**3. -3*a**3 - 11 Collect the terms in -126*q**2 + 109*q**2 + 25*q - 25*q. -17*q**2 Collect the terms in 14*j - 14*j - 337428*j**3 + 337427*j**3. -j**3 Collect the terms in -10 + 562*i**2 - 543*i**2 + 10. 19*i**2 Collect the terms in -72*n + 129*n + 0 + 152*n + 0. 209*n Collect the terms in -4 + 14*l + 18 - 10 - 4. 14*l Collect the terms in 2*d + 47 + 0*d + 40 + 4*d**2 - 14 - 13*d**2. -9*d**2 + 2*d + 73 Collect the terms in 3*j**2 - 1281*j + 1187*j - 2*j**2. j**2 - 94*j Collect the terms in -53 + 53 - 22*w - 14*w + 33*w. -3*w Collect the terms in -3209*m**2 + 1064*m**2 + 1069*m**2 + 1064*m**2. -12*m**2 Collect the terms in -812*c**2 - 8 + 899*c**2 + 9. 87*c**2 + 1 Collect the terms in k**3 + 86 - 84 + 141 + 106. k**3 + 249 Collect the terms in -49002 + 49002 + 73*q**3. 73*q**3 Collect the terms in 49 - 3*v + 2*v + 37 - 43 - 43. -v Collect the terms in -38*r**2 + 69*r**2 - 13*r**2. 18*r**2 Collect the terms in 13 + 19*i - 18*i + 16*i - 13. 17*i Collect the terms in -74*k + 407 - 1376 + 489 + 480. -74*k Collect the terms in 27*j**3 + 6260*j**2 - 6260*j**2. 27*j**3 Collect the terms in -75 + 284*l + 75 + 858*l. 1142*l Collect the terms in 891 + 46*o - 891 - 42*o. 4*o Collect the terms in 22*m - 8967 + 8967 - 14*m. 8*m Collect the terms in 978*u - 330*u - 329*u - 333*u. -14*u Collect the terms in 5560 + 5508 - 10971 + 2*a**3. 2*a**3 + 97 Collect the terms in 112*c - 13*c - 101*c. -2*c Collect the terms in 43*m - 4043*m**2 - 89*m + 3990*m**2 + 46*m. -53*m**2 Collect the terms in 5676*a**3 + 5667*a**3 - 11334*a**3. 9*a**3 Collect the terms in -140 - 8*s**2 + 306 - 166. -8*s**2 Collect the terms in 6845*l + 1733*l + 1 - 1798*l. 6780*l + 1 Collect the terms in -69*w**3 - 1187*w**3 - 960*w**3. -2216*w**3 Collect the terms in -26963 - 9*h**3 + 54120 - 27157. -9*h**3 Collect the terms in -3 + 8*d**2 + 7 - 6. 8*d**2 - 2 Collect the terms in 13*u**2 + 4*u**2 + 1 + 30*u + 11 - 18*u**2. -u**2 + 30*u + 12 Collect the terms in 1045*x - 646*x + 3008*x + 797*x. 4204*x Collect the terms in -6*t**3 - 235*t - 163*t + 398*t. -6*t**3 Collect the terms in -844*x**2 - 571*x**2 + 381*x**2. -1034*x**2 Collect the terms in 15947587 + 3*y - 15947587. 3*y Collect the terms in -440*f**2 - 303*f**2 + 1001*f**2. 258*f**2 Collect the terms in -2*c**2 + 38237542*c - 38237542*c. -2*c**2 Collect the terms in 39*n - 429*n + 35*n. -355*n Collect the terms in 12*x**2 - 43*x**2 + 16*x**2 + 6*x**2 + 12*x**2. 3*x**2 Collect the terms in 9 - 148*j**2 - 8 + j + 4*j. -148*j**2 + 5*j + 1 Collect the terms in -5933*z - 21*z**3 - 2772*z - 78*z**3. -99*z**3 - 8705*z Collect the terms in 12933*w + 4982*w + 16962*w. 34877*w Collect the terms in -11 + 4*u + 48*u + 1 - 57*u + 1. -5*u - 9 Collect the terms in -20*g - 15*g - g + 22. -36*g + 22 Collect the terms in z**2 + 4*z**2 + 2*z**2 - 3*z**2 - 6*z**2. -2*z**2 Collect the terms in 154*r**2 + 137*r**2 - 453*r**2 + 144*r**2. -18*r**2 Collect the terms in -42 + 5274*j**3 + 42. 5274*j**3 Collect the terms in 79*m**2 - 254*m**2 + 2*m + 94*m**2 - 2*m + 97*m**2. 16*m**2 Collect the terms in 0*b - 6188*b**2 - 1 + 0*b. -6188*b**2 - 1 Collect the terms in -42*i**3 - 714*i**3 - 2430*i**3 + 5*i**2. -3186*i**3 + 5*i**2 Collect the terms in -235205*l**3 + 2*l - 2*l - 235199*l**3 + 470398*l**3. -6*l**3 Collect the terms in -90*f**3 + 6*f**3 - 86*f**2 + 84*f**2. -84*f**3 - 2*f**2 Collect the terms in -29*x**3 + 1254 - 2*x - 2508 + 1254. -29*x**3 - 2*x Collect the terms in -626*x**3 + 3296*x**3 + 1087*x**3. 3757*x**3 Collect the terms in 151*w - 3476 + 3476. 151*w Collect the terms in 17446*y**3 + 2183*y - 3177*y**3 - 2183*y. 14269*y**3 Collect the terms in 4*l + 4 + 0 - 4*l**2 - 1. -4*l**2 + 4*l + 3 Collect the terms in -l**2 - 3*l**2 + 1 + 5*l**2 + 1852*l**3 - 2*l**2. 1852*l**3 - l**2 + 1 Collect the terms in 8412*b**3 + 0*b**2 + 1838*b**3 + 0*b**2. 10250*b**3 Collect the terms in -872807 + 872807 + 5*q. 5*q Collect the terms in -26 - 7 + 60 + 28*u**3 - 26 - 1. 28*u**3 Collect the terms in 161*j + 107*j + 203*j - 182*j + 205*j. 494*j Collect the terms in -3*a - 10*a + 13*a + 1120*a**2. 1120*a**2 Collect the terms in -29 + 60429*r**2 - 60436*r**2 - 37 + 66. -7*r**2 Collect the terms in -59*h - 2 + 41*h + 243*h + 335*h. 560*h - 2 Collect the terms in -13509*g**2 - 2*g + 2*g + 0*g. -13509*g**2 Collect the terms in 624*g + 6 - 2 - 1006*g - 1891*g. -2273*g + 4 Collect the terms in 4 + 10 - 20 + 2 - 34*s + 2. -34*s - 2 Collect the terms in -19*k + 41*k - 24*k - 35*k + 21*k. -16*k Collect the terms in 37*a + 3 - 75*a - 3 + 25*a. -13*a Collect the terms in -1783*d - 3 + 3 + 902*d + 892*d. 11*d Collect the terms in 206*t**3 - 335*t**3 + 283*t**3. 154*t**3 Collect the terms in -5*v + 18981*v**3 - 4*v - 2 + 9*v - v**2. 18981*v**3 - v**2 - 2 Collect the terms in -282327972 + 282327972 + 3*k**2. 3*k**2 Collect the terms in 31790*o**3 - 7*o**2 - 31778*o**3 + 7*o**2. 12*o**3 Collect the terms in -30 - 46 + 76 + 546*u. 546*u Collect the terms in 35*h + 1 + 5 + 0 - 2. 35*h + 4 Collect the terms in -605*r**2 + 1198*r**2 - 617*r**2. -24*r**2 Collect the terms in -186 - 9*j**3 - 52 - 298. -9*j**3 - 536 Collect the terms in 16*c**2 - c**2 - 7*c**2 - 7*c**2 - 11*c**3 - 3*c**2. -11*c**3 - 2*c**2 Collect the terms in 2*n + 940 + 146 + 962 - 88. 2*n + 1960 Collect the terms in 64705*y + y**2 - y**2 - 64705*y + 73*y**3. 73*y**3 Collect the terms in -26350*q**2 - 26358*q**2 - 26348*q**2 + 79055*q**2. -q**2 Collect the terms in -156 - 149 + 8*r + 300. 8*r - 5
{ "pile_set_name": "DM Mathematics" }
110 = 5*a for a. 16 Solve m = 3*c + 12 + 2, 22*m - 14*m - 3*m - 10 = 0 for c. -4 Solve -i + 3 = -2*t, -3*i + 47*t = 44*t - 9 for i. 3 Solve 5*n + 539 = 2*m + 525, 5*n = 4*m - 18 for m. 2 Solve 2*o - 8 = 4*h, -5*h + 1987*o = 1982*o + 20 for h. 0 Solve -5*u + 7 = -3*j + 2, 0 = -3*u + 12 for j. 5 Solve q - 16 = 5*p, 36 - 37 = 2*q + p for q. 1 Solve 14*c + 3*p = 12*c - 19, 5*c + p + 28 = 0 for c. -5 Solve 17*q + 2*b = -47, b + 2*b = 2*q + 6*b for q. -3 Solve 5*c - 3*r - 1132 = -1173, 21 = 3*r for c. -4 Solve 3*u + 64*b = 60*b + 48, -3*u + b + 3 = 0 for u. 4 Solve 0 = -b, 3*h - 3 + 9 = -b for h. -2 Solve 3*r - 52*u = -59*u - 24, -4*r - 5*u = 19 for r. -1 Solve 0 = -o + 5, -5*o + 25 = -8360*k + 8358*k for k. 0 Solve 368 = 2*g + 45*v, 16 = 1892*g - 1896*g + 4*v for g. 4 Solve -j + 10 = 4*f, -2*f = 2*j + 110 - 112 for j. -2 Solve -5*r - 17 + 1 = -4*o, o + 4*r = -17 for o. -1 Solve 22 = -4*u - 23*f + 28*f, u - 7 = -5*f for u. -3 Solve 4*v - 3*d = 14, 2*v + 16 = 3*d + 26 for v. 2 Solve 2556*m + 16 = 14*s + 2557*m, -4*s - 6 = -5*m for s. 1 Solve 5*n + 1 + 9 = -4*b, 8 = -n - 2*b for n. 2 Solve 5*g = -4*c - 5, 5*c - 35 = -3767*g + 3769*g for c. 5 Solve -4*n - 279*y + 276*y = -6, -y + 7 = 3*n for n. 3 Solve -q = 2*v - 83 + 69, 4*q - 21 = -v for q. 4 Solve -45*s = -17*s - 23*s - 4*j + 125, 0 = -5*j for s. -25 Solve 10 = -4*i + 2, -5*i = -3*y - 32 for y. -14 Solve 5*t = 5*k, 8*t = 4*t - k + 15 for t. 3 Solve -264*l = -267*l - 9, 2*z - 21 = 3*l for z. 6 Solve n - 2 = 5*w + 4, -2*n - 20*w = -15*w + 18 for n. -4 Solve -1 = -94*y + 99*y + 2*f, -4*f = -3*y - 11 for y. -1 Solve -8*u - 22 = 3*q, -2*q + 98 = -u + 81 for q. 6 Solve 5*t = 25, -5*s + 40 = 82*t - 78*t for s. 4 Solve -2*d + 4*r + 2 = 0, 2*d + 7 = -5*r - 0*r for d. -1 Solve -2*t + 2*h - 1246 = -1262, -5*h = 25 for t. 3 Solve -9813*a + 39*l - 117 = -9818*a, -5*a + 2*l = 6 for a. 0 Solve 1089*n - 1088*n - 5*l = 10, -4*l - 17 = n for n. -5 Solve -4*n + 2*o - 2 = 0, -56 = 4*o - 60 for n. 0 Solve -2*a = 4*i - 1004 + 966, 5*i = -5*a + 45 for i. 10 Solve 5*b - 2*g = -9, 3*b - 8*g = 4*b - 99 for b. 3 Solve 2*q = -4*s + 3300 - 3284, 2 = -q + 3*s for q. 4 Solve -2*t = 5*a - 18, 0 = -4*a + 1722*t - 1727*t + 28 for a. 2 Solve 4*y + 2*t - 28 = 0, 3*y + 32 = -t + 51 for y. 5 Solve -y - 58 = -9*v + 42, -4*v = 5*y - 39 for y. -1 Solve -3*w + 1185*y = 1187*y + 5, 0 = 5*w - 5*y for w. -1 Solve 5 = 3*k - s, 170*k - 4*s = 169*k + 31 for k. -1 Solve 50*b - w + 14 = 51*b, -5*w + 67 = 4*b for b. 3 Solve 42*x - 39*x + 21 = q, x - 115 = -20*q for q. 6 Solve 603 = m + 4*g + 613, -3*m - 9 = 5*g for m. 2 Solve 5*k - 1481*p = -1482*p - 16, k = 2*p - 1 for k. -3 Solve 0 = 2*k - 3*d + 78, 4*k - 34*d = -32*d - 60 for k. -3 Solve -407*r + 4*l = -409*r - 10, 6*r - 55 = 5*l for r. 5 Solve -2 = 4*v + 2*s, -86*v + 90*v = 4*s + 16 for v. 1 Solve r = 4*m - 4, 337*m - 18 = 336*m - 4*r for m. 2 Solve -1724*u - 40 = -1728*u + 8*h, 0 = 4*u + h + 5 for u. 0 Solve 8*n - 9*n = -1, 4*k + 3*k + 2*n + 3 = 5*n for k. 0 Solve -2*g = 4*j - 52, 0 = -4728*j + 4730*j + 2*g - 26 for j. 13 Solve -8874*o - l + 22 = -8871*o, -5*l + 130 = 5*o for o. -2 Solve 502*y - 28 = 506*y + 3*o, 2*o = -4*y - 24 for y. -4 Solve 0 = 5*q + 2*i + 45, 0 = -63*q + 60*q + 2*i + 21 for q. -3 Solve 3494*d = 3490*d - 5*t - 45, 5*d + 4*t + 54 = 0 for d. -10 Solve 0 = -4*q - 43884*z + 43889*z - 71, 0 = -13*q + z - 2 for q. 1 Solve -4*d - 1584 = 2*k - 1718, 0 = -k + d - 29 for k. 3 Solve -5*n - 39 = 26, 0 = v - 5*n - 66 for v. 1 Solve 13 + 2 = -3*f, 5*y + 10*f = -45 for y. 1 Solve -3*k = 10*y + 18, y - 3 - 10 = -4*k for k. 4 Solve 3*r - 614 = -3*o - 611, o - 5*r = -17 for o. -2 Solve -5*h = -6*d - 62, -87*h - 5*d - 66 = -84*h for h. -2 Solve 8*y + 77*c + 141 = 72*c, 3*c = 3*y + 48 for y. -17 Solve 3*b - 2*p - 31 = 0, 364*b + 4*p = 368*b - 48 for b. 7 Solve o + 42 = w + 40, -5*w + 5 = 0 for o. -1 Solve -3*y + 7 = -4*h + 38, -2*y + 2 = 3*h for y. -5 Solve 4*q - 222 + 208 = -d, -2*q = -8 for d. -2 Solve -t + 8 = 5*x, 553*t = 557*t - 6*x - 6 for t. 3 Solve -4*d + 4*p = 12, 3*d - 24*p + 28*p - 19 = 0 for d. 1 Solve -3*c + 19 = 221*v - 223*v, 18*v + 237 = 5*c for c. -3 Solve 177*u + 5*v + 5 = 173*u, 2*u + 22 = -22*v for u. 0 Solve 4*c + 36 = -4*z, 4*c = 17979*z - 17976*z - 1 for z. -5 Solve -5*v + 3*u + 18 = 0, 7*v - 270*u + 268*u = 23 for v. 3 Solve -3*d + 3*r = 30, -4*d + 147*r - 148*r - 45 = 0 for d. -11 Solve 3*r - 3*t + 15 = 0, 3*r = t + 59 - 64 for r. 0 Solve -4*z + 48 = 0, 21*z - 569 = 2*a - 38*z + 133 for a. 3 Solve 5*c = 2*h - 29, -3*h - 3280 = -3*c - 3301 for h. 2 Solve 0 = -2*o - l + 1, -9 = -18*o + 18*o + l for o. 5 Solve 0 = -4*k - 2*h - 4 - 0, 2*k + 4*h = -26 for k. 3 Solve 0 = -i + c + 9, -101*i - 6*c - 24 = -97*i for i. 3 Solve 3*c - k - 40 + 36 = 0, 4*c = 3*k + 7 for c. 1 Solve -2563*y + 2564*y = q - 5, 0 = -2*y + 9*q - 45 for y. 0 Solve 0 = 5*q + 5, -25 = -5*z - 4*q - 36 + 17 for z. 2 Solve -3*b = -j + 37, 4*j = b - 26842 + 26847 for b. -13 Solve 98*z = 103*z + u + 21, 3*z = 4*u - 31 for z. -5 Solve 0 = 2*p - 4*w + 28, -5*p + 2157*w - 2154*w - 7 = 0 for p. 4 Solve -3*p = -2*n + 8, 16*n = -p + 21*n + 6 for p. -4 Solve -q = -2*t - 4, 0 = 7*t - 5*t - 4*q + 40 for t. 4 Solve 3 = -11*q + 14*q - 3*h, -2*q - 70 = 16*h for q. -3 Solve -3*y = -3*m + 6*m, 4*y - 4*m + 8 = 0 for y. -1 Solve 3*p + 7 - 13 = 0, -i + p = 2 for i. 0 Solve 0 = -2*u + 98*z - 93*z - 15, 3*z + 17 = -4*u for u. -5 Solve 3*f + k + 15 = 19, 4*f = -5*k + 9 for f. 1 Solve -11 = 4*u - y - 12, 12 = 4*y for u. 1 Solve 0 = -5*f + 5*y, y - 4 = 6*y - 6*y for f. 4 Solve -86*l + 83*l + 3*t + 27 = 0, l = -2*t + 9 for l. 9 Solve -118 = f - 5*r - 89, 2*f + 5*r = 17 for f. -4 Solve -2*f - 8 = 2*n, 247*n - 27 = 5*f + 245*n for f. -5 Solve f - 18 = -5*b, 0 = 17*f - 15*f - 4*b - 8 for f. 8 Solve -2*s - 26 = 1681*r - 1683*r, 0 = 4*r - s - 28 for r. 5 Solve 2*b = -61*j + 62*j - 7, -2*b - 19 = 3*j for j. -3 Solve -3*c = 2*f - 41, -2233*f + 2233*f - 3*c + 15 = 0 for f. 13 Solve 0 = -3*d + 4*l - 25, 3*d + 12*l + 29 = 17*l for d. -3 Solve 2*g - 4*p = 34, -34 = -67*g + 59*g - p for g. 5 Solve -24 = 3*p + 3*h, -47*p + 4*h + 21 = -50*p for p. -11 Solve 22*g = -i + 34 + 9, 0 = -5*g - 3*i + 7 for g. 2 Solve 4*o - 2*l + 5*l = 42, 68*l + 46 = 2*o + 72*l for o. 3 Solve 17*t = 15*t - 5*q - 9, -q = 3*t - 6 for t. 3 Solve -4 = 4*n, -5*w + 30 = 7*n - 8*n + 24 for w. 1 Solve 0 = -2*o - 5*c + 34, -112*o - 8 = -122*o + 2*c for o. 2 Solve 5*p - 5 = 0, -404*s = -407*s + 2*p - 2 for s. 0 Solve 11*v + 5*f = 10*v + 24, -4*v - 38 = -f - 50 for v. 4 Solve d = 4*i - 41, 7*i + 16 = 11*i + 4*d for i. 9 Solve -w - 4*t = -1352 + 1338, 5*w + 2*t - 34 = 0 for w. 6 Solve f + 10*c = 20, -178*f - 32 = -176*f - 4*c for f. -10 Solve 5*z - 5*b = 15804 - 15774, -b = -5*z + 14 for z. 2 Solve 5*z + 2*t + 723 - 700 = 0, z - 3*t - 9 = 0 for z. -3 Solve 4*y = 735*x - 738*x + 6, 45 = y + 8*x for y. -3 Solve -10*k + 76 = -2*d, -20*k = -9*k - 14*k - 3*d + 12 for k. 7 Solve 2*c - 12 = 2*s, -18*s - 34 = -12*s - 5*c for s. -4 Solve -3*t + 11 = n, 102*t - 5*n + 16 = 104*t for t. 3 Solve 6 = 2*g + i, 38*g + 16 = 43*g + 3*i for g. 2 Solve 0 = -5*i + 5*s - 5, 38 = -2*i + s + 40 for i. 3 Solve v + 15 = 5*o, 11*o - 3*v - 24 = 9 for o. 3 Solve w = -5*q, -4*q - 122 = 4*w - 106 for w. -5 Solve -36 = -26*d + 19*d + 4*i, 2*i = 4*d - 20 for d. 4 Solve 0 = 2*x + 5*p - 35, 4955*x - 4952*x = -3*p + 30 for x. 5 Solve 39 = -4*y + 5*a - 1, 1 = 3*y + 4*a for y. -5 Solve 3*h - 3 = -0*r - 0*r, -59 = -3*r - h - 49 for r. 3 Solve -8*s - 44 = 5*i, -4107*s - 2*i - 14 = -4105*s for s. -3 Solve 3*u - 2 = -5*o, -3*u - 1 = -11*o + 13*o for o. 1 Solve 3*b = -3*z + 6, -2*z + 489*b - 490*b + 2 = 0 for z. 0 Solve -3*o = 3*a + 6, -5*o - 104 + 76 = -a for a. 3 Solve -7*x + 5*x + 38 = 10*d, 45 = 3*d + 3*x for d. 1 Solve 8*f - 2*w = 3585 - 3591, -2*f - 5*w - 29 = 0 for f. -2 Solve -169*p + 174*p = 4*m + 7, 0 = -2*m + 4*p - 2 for m. -3 Solve -4*p = -14*c - 10, -295*c = -291*c - p + 2 for c. 1 Solve -5*h = 2*l, -97*l + 93*l = 4*h for l. 0 Solve -5*k = 24*w - 42, 2388*k = -3*w + 2391*k + 27 for w. 3 Solve 2*p = -3*s, -s - 211 = 5*p - 185 for p. -6 Solve -2*k + 28 = 550*r - 539*r, -k = 6*r - 15 for r. 2 Solve f = -3*l - 21, 2*f - 71 = l - 64 for l. -7 Solve -5*o - 14*f - 5 = -9*f, -3*f = 2*o - 2 for o. -5 Solve 0 = -4*c
{ "pile_set_name": "DM Mathematics" }
(-4)/3*(351/(-12))/13? 3 What is the value of ((-8)/(-60)*6)/((-2)/10)? -4 What is the value of -5*(-1)/((-1)/(-1))? 5 -1*3/(-30)*-2 -1/5 What is -72*2/(-160)*10/(-6)? -3/2 Calculate ((-4)/3)/(330/45). -2/11 (-13)/(182/(-20))*(-4)/(-10) 4/7 Calculate (24/10)/(((-96)/(-20))/(-12)). -6 Calculate -6*9/567*-7. 2/3 Evaluate (0/1)/(141/47). 0 Evaluate 6*(-4)/60*-5. 2 (7/14)/((-7)/8) -4/7 Evaluate (-5*6/3)/(2/1). -5 1/2*-1*(-40)/30 2/3 -4*22/(-77)*21/4 6 Calculate (-12)/((-36)/(-12))*3/4. -3 -5*(-1)/2*(-16)/(-8) 5 Calculate (-15)/(-10)*(-4)/(-9). 2/3 What is ((-6)/(30/(-25)))/1? 5 What is the value of (20/(-15))/(-4)*0? 0 What is the value of 6/(9/(-9))*2/(-4)? 3 What is 1/2*((-35)/7)/5? -1/2 What is the value of (-2)/1*(-9)/(-42)? -3/7 Calculate 3/9*27/(-6)*1. -3/2 What is the value of (((-2)/(-7))/(4/(-7)))/2? -1/4 What is ((4/(-10))/(-2))/(9/(-15))? -1/3 What is ((-4)/(-3))/((-1848)/(-198))? 1/7 What is 4*1/((-9)/(-45)*5)? 4 What is 7/294*(-120)/(-10)? 2/7 (20/45*15/100)/(-1) -1/15 Evaluate ((-6)/15)/(-1*14/(-10)). -2/7 Evaluate ((-160)/(-160))/((-29)/2). -2/29 Calculate 18/(-4)*(-19)/((-114)/(-8)). 6 Calculate 2/(-8)*4/(-6). 1/6 What is the value of 0/(-1)*17/(-17)? 0 What is (5/((-40)/(-16)))/((-3)/6)? -4 What is (3*(-2)/14)/(75/(-100))? 4/7 Evaluate ((-6)/(-28))/(2*(-6)/(-48)). 6/7 Calculate ((-28)/(-42))/((-2)/9). -3 What is the value of ((-1)/(-10))/(10/(-8))*-10? 4/5 What is the value of ((-16)/(-16))/(3/3)? 1 (2*2/(-4))/(-1)*2 2 What is the value of (2/(-2))/(-32*(-5)/120)? -3/4 (-25)/(100/24)*(-2)/(-2) -6 What is 81/144*(-6)/9*-1? 3/8 Calculate ((-4)/6)/(1/((-18)/(-4))). -3 Evaluate (-60)/180*(-9)/(-6)*2. -1 6/6*4/(-14) -2/7 What is (-20)/(-12)*54/15? 6 What is 8/(112/35)*6/3? 5 Evaluate 2/4*(-6)/63*-6. 2/7 Calculate -1*(4/(-4))/((-1)/1). -1 (-3)/(-2)*(-70)/945 -1/9 Evaluate (-92)/92*((-6)/11)/2. 3/11 What is (3/9)/(6*9/(-972))? -6 Calculate 9*(-8)/96*4. -3 What is the value of (-8)/(-2)*(-3)/42? -2/7 Calculate (-4)/(-4)*(-1)/((-2)/(-6)). -3 What is ((-14)/4)/(1/((-12)/(-6)))? -7 6*2*(-6)/(-252) 2/7 What is (1*2/(-1))/((-42)/21)? 1 Evaluate (-15)/((-20)/4)*8/12. 2 What is the value of (2/27)/(5/15*-1)? -2/9 What is the value of (-1*2)/((-8)/96*-6)? -4 What is the value of 4*3*15/36? 5 What is -2*1/(-6)*2? 2/3 Calculate ((-204)/(-85))/((-8)/((-240)/18)). 4 Calculate (4/32)/((-9)/18). -1/4 Evaluate (2/(-8))/((-60)/(-48)). -1/5 Evaluate (4/(-8))/((-3)/(-1)). -1/6 What is the value of (1*18)/(40/20)? 9 1/2*2/22*0 0 Evaluate ((-12)/168)/((-4)/(-28)*-2). 1/4 Evaluate 6*(-2)/(-4)*60/144. 5/4 What is the value of 336/(-128)*2/(-7)? 3/4 What is the value of 23/(-23)*(-5)/(-1)? -5 Evaluate 3/(-90)*-10*3*5. 5 Evaluate ((-2)/10)/(64/(-160)). 1/2 Evaluate 15/(9/(-3))*3/3. -5 What is the value of 4*18/(-336)*-2? 3/7 ((2/2)/1)/((-9)/(-36)) 4 Calculate (-15)/22*(-96)/(-120). -6/11 Evaluate -3*(65/225)/13*-3. 1/5 Calculate 6/6*-3*2. -6 1/(((-4)/8*3)/(-3)) 2 (2*(-2)/6)/((-18)/27) 1 What is the value of (-19)/38*1*1/(-2)? 1/4 What is the value of 45/(-54)*-2*(-12)/(-80)? 1/4 What is (-688)/129*6/(-8)? 4 (516/(-215))/(2/5*-1) 6 What is (4/(-3)*24/(-16))/(-1)? -2 What is the value of (18/(-84))/((-3)/(-4))? -2/7 Evaluate ((4/(-8))/(-1))/((-4)/16). -2 Calculate (-315)/(-105)*4/6*4. 8 Evaluate ((-20)/(-1))/(-4)*1. -5 Calculate 18/3*2/(-3). -4 ((-12)/51)/((-54)/459) 2 Calculate (10/(-6))/((12/(-4))/(-9)). -5 (1/(-1)*-1)/(26/(-78)) -3 Calculate (1/3)/(3/(-2)). -2/9 (85/(-170))/(1/4) -2 Evaluate 111/(-37)*4/(-66). 2/11 What is 3*2/12*-4? -2 Calculate (-12)/8*3/(-27)*2. 1/3 What is the value of (-3*8/96)/(2/8)? -1 What is ((-8)/(-2))/((4/1)/4)? 4 Evaluate 3/(-3)*10/35. -2/7 (12/27)/(13/((-78)/4)) -2/3 What is the value of 2/(-5)*20/(-4)? 2 (264/(-154))/((-7)/((-98)/(-4))) 6 Calculate ((-2)/(-10))/((-18)/15). -1/6 1*-2*16/80 -2/5 What is (-11)/((-924)/(-8))*3/1? -2/7 Evaluate (-1)/((-10)/(-6)*36/24). -2/5 Calculate ((-35)/7)/(23/46). -10 Calculate 21/(-3)*(-6)/(-30). -7/5 What is (-6)/(-4)*10/25? 3/5 Evaluate 0/(-3)*3/((-9)/(-1)). 0 What is (56/70)/(16/30)*4? 6 Calculate ((-288)/(-96))/(6/10). 5 What is ((-2)/(-4))/(1*(-6)/(-3))? 1/4 What is the value of ((-7)/(35/12))/((-75)/(-250))? -8 Evaluate ((-10)/30)/((14/(-9))/(-2)). -3/7 -3*5/(-30)*-8 -4 Calculate ((-28)/924)/(1/6). -2/11 (-2*(-3)/8)/((-14)/8) -3/7 ((-5)/((-45)/(-6)))/(-2) 1/3 What is (2/4)/((-815)/978)? -3/5 What is the value of ((1/(-2))/1)/(2/20)? -5 What is the value of (-4)/((-16)/(-6))*(-14)/(-7)? -3 Evaluate 3/12*-2*(-96)/(-12). -4 What is the value of ((-5)/3)/(60/(-24))? 2/3 Evaluate (-11)/((-330)/(-24))*(-5)/2. 2 Evaluate (-7)/7*2/10*1. -1/5 Calculate (-45)/3*(-1)/(-6)*-2. 5 What is (-2*2/14)/(10/(-70))? 2 Calculate (-182)/(-572)*4/7. 2/11 Evaluate (8/12)/(6/(-18)). -2 What is (-1*1/(-12))/(89/801)? 3/4 What is the value of ((-20)/130)/((-2)/2)? 2/13 What is (177/236)/(18/8)? 1/3 (-15)/(-24)*(-6)/90*-18 3/4 What is the value of ((-8)/(-14))/(40/(-140))? -2 Evaluate (-1*(-2)/(-6))/(39/(-702)). 6 Evaluate (-3)/(12/(-4))*0/(-3). 0 Evaluate ((-19)/57)/((-2)/(-18)). -3 Evaluate 10/8*2/5. 1/2 What is the value of 8/(-7)*14/(-4)? 4 ((-8)/4)/(5/((-10)/(-18))) -2/9 Evaluate ((-80)/70)/((-6)/(-21)). -4 (-14)/(224/20)*(-12)/10 3/2 What is the value of (((-80)/15)/8)/(2/(-3))? 1 What is (3*2/(-3))/(-11)? 2/11 Evaluate 6/(-4)*(-64)/(-432). -2/9 What is (-3)/(6/((-6)/(-1)))? -3 What is the value of ((-3)/12)/(2/(-24)*-2)? -3/2 What is the value of (29/(870/(-20)))/((-2)/(-9))? -3 (15/6)/(7/(-14)) -5 Evaluate 320/20*27/(-72). -6 What is (1/3)/(5/(-25)*1)? -5/3 (-6)/2*(-10)/(-12)*2 -5 -4*((-75)/(-20))/(-15) 1 What is the value of (-3)/27*(-465)/62? 5/6 Calculate 15*(-4)/24*-1. 5/2 What is the value of ((-336)/(-420))/(62/(-5))? -2/31 Evaluate (-7*32/336)/((-35)/3). 2/35 What is 1/2*42/(-49)? -3/7 Calculate (3/(-14))/(276/(-736)). 4/7 What is the value of (7/((-7)/(-18)))/(48/24)? 9 What is the value of ((-1)/(-7))/((-14)/28)? -2/7 (-8)/14*12/12 -4/7 Calculate (-6)/(2/(-3)*-3). -3 What is 0*20/15*(-3)/(-12)? 0 Evaluate (12/2)/((-12)/8). -4 Evaluate (2/(-22))/((-2)/(-4)). -2/11 Evaluate -2*(1/(-1))/(-2). -1 What is (-24)/(-64)*2/1? 3/4 What is -1*44/(32/(-8))? 11 Evaluate (45/315)/((-2)/8). -4/7 Calculate 36/12*(-4)/(-42). 2/7 Evaluate (640/512)/((-15)/(-8)). 2/3 (-1*8/40)/((-12)/10) 1/6 Evaluate ((-4)/(-2)*5/10)/3. 1/3 What is (8/21)/(384/448)? 4/9 What is the value of (-40)/(-12)*(-12)/8? -5 Calculate ((-1)/(-6))/((1365/60)/13). 2/21 10*(4/4)/(-2) -5 What is (-40)/140*14/(-22)? 2/11 What is the value of 1/(1/2)*(-2)/(-12)? 1/3 Evaluate 6/(-4)*7/((-126)/(-24)). -2 What is the value of -3*(-5)/(-45)*-3? 1 What is 70/(-14)*2/5? -2 Calculate (6/(-4))/(((-715)/26)/11). 3/5 What is the value of ((-4)/(-24)*2)/(2/(-36))? -6 1*-1*(-2)/3 2/3 ((-1)/4)/(-1*(-5)/(-15)) 3/4 Evaluate 10/(-4)*(-148)/1665. 2/9 (-8)/(-8)*11/((-22)/4) -2 ((-14)/14)/((-5)/(120/54)) 4/9 (3/(-2))/(1/((-12)/27)) 2/3 Calculate ((5/2)/(-1))/(19/(-38)). 5 Calculate (((-6)/(-1))/(-6))/(5*1). -1/5 (-10)/10*(-3)/12*0 0 Evaluate (2*(-21)/(-168))/((-1)/(-12)). 3 1/(1/(-9))*36/108 -3 What is the value of 90/(-20)*(-7)/(63/(-6))? -3 Evaluate (33/99)/((-3)/36). -4 (-4)/(-6)*(-48)/(-56) 4/7 Calculate 2/6*(-39)/13. -1 Evaluate (8/(-6))/(4*(-6)/36). 2 -4*4/10*35/28 -2 What is ((-4)/7)/((-13)/(91/(-14)))? -2/7 What is the value of (-2)/(-18)*-3*1? -1/3 What is ((-20)/30)/(2/(-9))? 3 Evaluate 2/(-24)*-1*2. 1/6 What is ((-5)/4)/((-30)/36)? 3/2 Calculate -6*(-12)/243*(-9)/6. -4/9 What is 42/7*-5*(-1)/6? 5 Evaluate 35/10*(-36)/(-441). 2/7 Calculate (-2)/((-10)/(180/(-63))). -4/7 Evaluate (-1*6/120)/(2/(-8)). 1/5 What is (-3)/((-24)/(-16))*2? -4 (-16)/(-2)*3/6 4 What is (1*(-4)/8)/((-6)/(-4))? -1/3 Evaluate ((-22)/(-12))/11*(-12)/6. -1/3 Calculate 4/((-8)/(-7))*(-27)/(-126). 3/4 -26*-2*9/117 4 What is ((-36)/9)/(((-24)/4)/(-6))? -4 What is 1/(-3)*(-234)/((-13)/(-1))? 6 Calculate ((-147)/490)/(24/(-10)). 1/8 What is the value of (-51)/17*(-4)/9*-3? -4 6/(-26)*10/(-10)*1 3/13 Calculate 504/2079*6/(-8). -2/11 Calculate ((-5)/5)/((-2)/12*-2). -3 What is 15/(-6)*60/(-50)? 3 11/((-55)/6)*5/(-1) 6 What is the value of (-6)/75*4/(64/(-20))? 1/10 ((-3)/6)/((-126)/28) 1/9 Evaluate (4/(-546)*7)/((-2)/(-6)). -2/13 What is the value of 12/8*(-28)/6? -7 Calculate 8/5*-3*(-5)/6. 4
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of c(v) wrt v. -660*v**3 Let h = 5 - 3. Let g be ((-3)/h)/((-6)/16). Find the second derivative of 4*a**4 - 4*a**g + a**4 - a wrt a. 12*a**2 Let c(x) be the first derivative of -3/2*x**2 - 2*x - 4. Differentiate c(j) with respect to j. -3 Let t(k) be the first derivative of k**5 + 15*k**4/4 + 73*k**3/3 + 72. What is the third derivative of t(h) wrt h? 120*h + 90 What is the second derivative of 410*a - 333*a**3 + 203*a**3 + 102*a**2 - 101*a**2 wrt a? -780*a + 2 Let t(q) be the first derivative of 5*q**4/12 - 9*q**3/2 + q**2/2 + 31. Let f(i) be the second derivative of t(i). Differentiate f(g) with respect to g. 10 Let y = -140 - -179. What is the second derivative of -31*a**3 - 2*a**5 - y*a - 215 + 215 wrt a? -40*a**3 - 186*a Let t(x) be the first derivative of x**4 - 3*x**2/2 + 98*x + 199. What is the derivative of t(s) wrt s? 12*s**2 - 3 Let v(l) = l**3 - 11*l**2 + l - 8. Let y be v(11). What is the first derivative of y + a + 0*a + 3*a wrt a? 4 Let q = 74 - -21. What is the third derivative of 36*u**4 + 43*u**4 + 20*u**2 - q*u**4 wrt u? -384*u Let a(f) be the second derivative of -14*f**5/5 + 7*f**3/2 - f**2/2 + f - 24. Find the second derivative of a(j) wrt j. -336*j Let j(z) = z**4 - z**3 - 1. Let d(b) = -46*b**4 - 6*b**3 - 66*b**2 - 6. Let u(p) = -2*d(p) + 12*j(p). What is the third derivative of u(i) wrt i? 2496*i Let j(m) = 172*m - 338. Let s(d) = -57*d + 112. Let r(o) = 2*j(o) + 7*s(o). Find the first derivative of r(u) wrt u. -55 Suppose -b = f - 5, 4*b = b - 2*f + 13. Differentiate 158*w**3 - 2 - 298*w**b - 16 + 151*w**3 with respect to w. 33*w**2 Let l(i) be the first derivative of 0*i**2 + 0*i**3 - 3/2*i**4 + 6 + 13*i. Differentiate l(x) wrt x. -18*x**2 Differentiate 20*k + 126*k - 204 - 35 + 32*k wrt k. 178 Let o be ((-8)/3)/((-34)/153). Find the first derivative of o*j**4 + 7 + 10 - 2 wrt j. 48*j**3 Let g(n) = 4*n + 18. Let t(y) = -4*y - 17. Suppose 0*l - 5*l + 25 = 0. Let i(w) = l*g(w) + 4*t(w). Find the first derivative of i(h) wrt h. 4 Let w(n) = 11*n**4 - 83*n**2 + 476*n - 5. Let k(z) = 9*z**4 - 82*z**2 + 475*z - 4. Let i(y) = -5*k(y) + 4*w(y). Find the second derivative of i(v) wrt v. -12*v**2 + 156 Let i = -134/21 + 331/42. Let y(l) be the first derivative of 4 - 3*l + i*l**2. Differentiate y(t) with respect to t. 3 Let f(q) = -149*q**2 - 27*q - 15. Let t(u) = 37*u**2 + 7*u + 4. Let p(w) = 6*f(w) + 22*t(w). What is the second derivative of p(v) wrt v? -160 Let n(y) be the second derivative of -y**6/15 - 49*y**5/20 - 31*y**4/12 - 4*y**2 + 5*y + 7. What is the third derivative of n(o) wrt o? -48*o - 294 What is the second derivative of 4*u**2 + 738 - 11*u**5 - 11*u**5 - 817 - 2*u wrt u? -440*u**3 + 8 Let v(w) be the third derivative of 0 + 0*w**5 + 12*w**2 + 0*w**6 + 0*w**3 + 0*w + 11/105*w**7 + 13/24*w**4. Find the second derivative of v(g) wrt g. 264*g**2 Let o(l) be the second derivative of 17*l**6/15 + 37*l**2/2 - 73*l. Differentiate o(m) with respect to m. 136*m**3 Let n(s) = -6*s. Let v be n(-2). Suppose -2*w - v = -5*m, -5*m = -8*m - w + 5. Find the second derivative of u + 5*u + 2*u**m + u**2 + 2*u**2 wrt u. 10 Let r(q) = 3*q - 11. Suppose 12 = -2*w + 2. Suppose -4*s - 14 = -6*s. Let c(u) = 2*u - 7. Let a(v) = s*c(v) + w*r(v). Differentiate a(x) with respect to x. -1 Let x be ((-12)/3)/(1/6). Let k be (x/(-5))/(12/40). Find the second derivative of k*y + 0*y**3 - 9*y - 4*y**3 - y**3 wrt y. -30*y What is the second derivative of 0*w**4 + 59*w + 427 + 56*w - 114*w + w**4 + 56*w**2 wrt w? 12*w**2 + 112 Let v = -11 + 14. Suppose 0 = l + 4*o + 10, v*l + l - 40 = 4*o. Find the third derivative of -3*x**l + 5*x**2 - x**6 - 2*x**2 wrt x. -480*x**3 Let m(f) be the first derivative of f**5/20 + 7*f**4/12 + 7*f - 10. Let r(v) be the first derivative of m(v). What is the third derivative of r(y) wrt y? 6 Let h be (-16)/96*(-3 + 18/8). Let m(c) be the third derivative of c**2 + 0*c + h*c**4 + 0 - c**3. What is the derivative of m(n) wrt n? 3 Differentiate -475 + 1789*x**2 + 1785*x**2 - 3853*x**2 wrt x. -558*x Let r(g) be the first derivative of -171*g**4/4 + 195*g**2/2 + 147. What is the second derivative of r(j) wrt j? -1026*j Suppose -5*g - 140 = -y, -5*y - 140 = 5*g - y. Let x be (-7)/g + 30/8. Find the first derivative of d**4 - d**x + 5*d**4 + 2*d**4 - 8 wrt d. 28*d**3 Let a be 66/(-54) + 1 - 38/(-9). Let y(b) = -b**3 - 5*b**2 - 3*b + 5. Let m be y(-4). What is the third derivative of -m - a + 5 + 5*x**5 + x**2 wrt x? 300*x**2 Find the third derivative of 42*l**6 + 52*l**6 - l**2 - 116*l**6 - 2*l**2 wrt l. -2640*l**3 Let i(q) be the third derivative of 0*q**4 - 12*q**2 + 0 - 7/60*q**5 - 1/40*q**6 + 0*q**3 + 0*q. What is the third derivative of i(p) wrt p? -18 Let g(q) = 135*q**3 - 26*q**2 + 4*q. Let j(l) = 268*l**3 - 51*l**2 + 7*l. Let t(z) = -7*g(z) + 4*j(z). Find the third derivative of t(u) wrt u. 762 What is the third derivative of -6*q**2 - 29*q**2 + 219*q**3 - 218*q**3 - 10*q**5 wrt q? -600*q**2 + 6 Let f(p) be the third derivative of p**9/126 + 17*p**7/210 + 11*p**5/30 - p**4/12 - 20*p**2 + 2*p. Find the third derivative of f(r) wrt r. 480*r**3 + 408*r Let a(q) be the first derivative of 0*q + 9 + 0*q**5 + 9/2*q**2 + 0*q**4 + 11/6*q**6 + 0*q**3. What is the second derivative of a(x) wrt x? 220*x**3 Let a(v) be the first derivative of 2*v**5/5 + 255*v**4/4 + v**2 + 52*v - 52. Find the second derivative of a(k) wrt k. 24*k**2 + 1530*k Let a(l) be the second derivative of -71*l**7/42 + 8*l**4/3 - 8*l + 3. Find the third derivative of a(k) wrt k. -4260*k**2 Let x be 5 + -8 - (-151 - -3). What is the third derivative of x*u + 5*u**5 - 73*u - 26*u**2 - 72*u wrt u? 300*u**2 Let s be ((-15)/6 + 2)*-10. Let t be (3/5)/(1/s). Find the third derivative of t*q**4 - 3*q - 2*q**2 + 3*q wrt q. 72*q Let n(w) = -w**5 - w**4 + w**2 + 1. Let p(i) = 23*i**5 - 6*i**4 + 11*i**2 + 250*i + 6. Let c(l) = 6*n(l) - p(l). What is the second derivative of c(a) wrt a? -580*a**3 - 10 Let f(x) = 2*x - 1 - x**2 - x + 0*x. Let w be -2 + -3*4/12. Let d(j) = 7*j**2 - 10*j + 3. Let t(s) = w*f(s) - d(s). What is the second derivative of t(n) wrt n? -8 Let g = 11 + -8. Let k(l) be the first derivative of 18*l**2 - 18*l**2 - g*l**3 - 7 + 5*l. Differentiate k(z) wrt z. -18*z What is the third derivative of 29*f**5 - 3*f**6 + 7*f**6 + 1 - f**6 + 4*f**3 - 4*f**3 + 68*f**2 wrt f? 360*f**3 + 1740*f**2 Suppose 5*y + 17 = 4*u, -5*u + 2*y + 34 = -0*y. Suppose 5*n - 12 = u. Find the third derivative of 5*f**6 - 4*f**2 - 6*f**6 - n*f**6 wrt f. -600*f**3 Let y(a) = 30*a**3 - 6*a**2 + 85. Let w(c) = -2*c**3 + c**2 + 1. Let t(j) = -4*w(j) - y(j). What is the derivative of t(i) wrt i? -66*i**2 + 4*i Let q be 7 - (-3)/4*-4. What is the third derivative of 42*r + 19*r**q + r**2 - 42*r wrt r? 456*r Let k(r) = 154*r**2 + 114. Let y(i) = 26*i**2 + 19. Let z(g) = -6*k(g) + 34*y(g). What is the first derivative of z(j) wrt j? -80*j Let j(s) be the second derivative of 227*s**4/4 - 102*s**3 + 2*s + 15. Find the second derivative of j(c) wrt c. 1362 Suppose 4*t = 3*l, l + 17 = 3*t + 3*l. What is the first derivative of 2 + 3*q**3 - 2*q**3 + q**t - 12 wrt q? 6*q**2 Let l(s) be the third derivative of s**9/1008 - s**6/36 - 2*s**3 - 12*s**2. Let v(w) be the first derivative of l(w). Find the third derivative of v(g) wrt g. 180*g**2 Let s(z) = -846*z**4 + 8*z**2 + 237*z + 10. Let g(j) = 844*j**4 - 6*j**2 - 238*j - 8. Let d(u) = -4*g(u) - 3*s(u). Find the second derivative of d(p) wrt p. -10056*p**2 Suppose -5*u + 15 = w, 0*u + 2*u = -4*w + 24. Let i(l) be the first derivative of 5/3*l**3 + 6 + 3*l**u + 0*l. Find the second derivative of i(a) wrt a. 10 Let f(a) be the first derivative of -39*a**4/4 + a**3/3 + 7*a**2/2 + 43. What is the third derivative of f(u) wrt u? -234 Let k(c) = -25 + 29 + 8*c + c. Let m(u) = u + 1. Let a(x) = -k(x) + m(x). Find the first derivative of a(b) wrt b. -8 What is the derivative of 59*l**3 + 12 - 6 - 49*l**3 + 4 + l**4 wrt l? 4*l**3 + 30*l**2 Let d = -3317/10 - -332. Let a(z) be the second derivative of 0*z**3 + z**2 + 0 + z - d*z**5 + 0*z**4. Differentiate a(k) wrt k. -18*k**2 Let c(p) be the second derivative of -p**7/7 - 35*p**3/6 - 39*p**2/2 + 12*p. Let k(l) be the first derivative of c(l). Differentiate k(a) wrt a. -
{ "pile_set_name": "DM Mathematics" }
w**3 - 30)*(2 + 0 - 4 + (0 + 5 - 4)*(-1 - 2 + 1) + 4 - 2 - 4 + (-3 + 1 + 10)*(-4 + 0 + 2)) to the form z*w**3 + x + k*w + u*w**2 and give z. 198 Rearrange 199*v + 41*v**2 - 1 + 37*v**2 - 110*v**2 + 35*v**2 to z + p*v**2 + m*v and give p. 3 Rearrange -378*k**2 - 359*k**2 - 13*k**3 + 727*k**2 to v*k**2 + t*k + r + y*k**3 and give y. -13 Rearrange 10 + 0*d - 5 - 2*d - 5 - 4 to w*d + y and give w. -2 Rearrange (-l + 44 - 44)*(-2*l**2 - 4*l**2 + 14*l**2) + 2*l**3 + 3*l**3 - 4*l**3 to the form u + m*l**2 + i*l**3 + g*l and give i. -7 Express (2 - 1 - 3)*(5 - 3 + 0)*(2*z + 3*z - 12*z)*(-2 - 3 + 7)*(4 - 15 + 12) in the form h*z + d and give h. 56 Express (53 + 56 - 111 - 77*y)*(5*y**3 - 22 + 3*y**2 + 22) in the form q + k*y**3 + s*y**4 + g*y + b*y**2 and give b. -6 Express 2*o - 2*o - o**3 + 81*o**4 - 16 - 78*o**4 in the form j*o**4 + l*o**2 + x + m*o**3 + y*o and give m. -1 Express 311*l**2 - 21*l**2 - 34*l**2 as z*l**2 + c*l + x and give z. 256 Express 0*u**2 - u - 4*u**2 + 7*u**2 + (15 + 1 + 2)*(20 - 20 - 5*u**2) in the form y*u**2 + o*u + l and give y. -87 Express (2 - 2 + 2*v + (3 - 3 + 3*v)*(3 + 1 - 2))*(50 + 36 + 3*v**2 + 2*v - v**2) in the form k*v**2 + p + u*v + w*v**3 and give k. 16 Express -6*c + 19*c + 8*c**2 + c**3 - 24*c**2 + 8 + 15*c**2 as k*c**2 + j*c + z*c**3 + p and give z. 1 Express (2 + 10 + 7 - 3)*(-14*q + 16*q + 11*q) in the form m + f*q and give f. 208 Express 79*v - 30 - 27 + 1469*v + 57 as w + a*v and give a. 1548 Rearrange -4*i**4 - 2 - 56*i - 60*i + 0 + 89*i + 2*i**2 to c*i**2 + n*i + a*i**4 + v*i**3 + u and give n. -27 Rearrange -43 + 40*o - 71*o + 34*o to j*o + h and give h. -43 Express -133*m + 20*m - 106*m - 76*m as t + f*m and give f. -295 Rearrange 214*z + 4 + 218*z + z**4 - 658*z + 211*z - z**3 + 0 - 5*z**2 to the form d*z**4 + f*z**2 + q*z + j + w*z**3 and give j. 4 Rearrange 3*y**3 - 4*y**3 + 66*y**4 - 16*y**4 - y**2 + 13*y**4 - 3 to the form p*y**3 + w*y**2 + v*y + f + n*y**4 and give f. -3 Express -9 + 11*m - 12 - 2*m**2 - 8 + 11 - 1 as b + t*m + c*m**2 and give b. -19 Rearrange g + 0*g + 2*g + (-3*g - g + 2*g)*(-1 - 4 + 3) - 4*g - 3*g + 2*g - 2 + 0*g - g - 2*g to n*g + a and give a. -2 Rearrange 817*r**3 - 136*r**3 + 399*r**3 + (r**3 + 3 - 3)*(-3 + 3 - 1) to the form g*r**3 + x*r + f*r**2 + i and give g. 1079 Rearrange (h**2 + 4*h**2 + 9*h**2)*(-h**2 - 31 - 14 + 25) to the form z*h + u*h**3 + n*h**2 + k*h**4 + c and give k. -14 Express 6 - 12 + 4*r**2 + 2*r**2 + 14*r**3 + 7 - 27*r**3 as s + n*r**3 + q*r**2 + c*r and give q. 6 Express 4 - 4 + 0 + 3*f**3 + 27*f in the form d*f + n + v*f**3 + k*f**2 and give d. 27 Express (3 + 0 + 0)*(-32*g - 1334 + 1334) - 3*g + g + 4*g + (g + 0 + 0)*(-3 + 1 + 3) in the form d + z*g and give z. -93 Express (25*h**2 + 10*h**2 + 10*h**2)*(-181 + 181 - 21*h**2) as s*h + w*h**3 + q*h**2 + y*h**4 + d and give y. -945 Express 3 + 0 + 829*w**2 - 3 as p*w + l + b*w**2 and give b. 829 Rearrange -833*o + 0 + 0 + 1825*o to t*o + d and give t. 992 Express 2254 - 2254 - 10*n**2 - 10*n in the form r + o*n**2 + m*n and give o. -10 Rearrange (-2 - 4 + 1)*(-124*z + 45*z + 147*z) - 2*z + 4*z + 2*z - 2*z + 4*z - z to v + w*z and give w. -335 Express (-2*v + v - v)*((-2 - 2 + 2)*(1 + v - 1) - 440*v + 2239 - 2239) as q*v + o*v**2 + w and give o. 884 Express 24*j - 90 - 14*j**4 + 87 - 2*j**2 + 5*j**2 - 26*j in the form v*j**2 + m*j + h*j**3 + o*j**4 + n and give o. -14 Rearrange 19*p**2 + 5*p**3 + 29 - 53*p**2 + 2*p**3 + 35*p**2 to f*p**3 + o*p + u*p**2 + s and give s. 29 Rearrange -3*b**2 + 5 + 4*b**2 + b**2 + 13 - 19 + 7*b**3 - 2*b**4 to n*b**2 + k*b**4 + j + v*b**3 + a*b and give k. -2 Express (53 + 23 - 28 + 72)*(-3*m**2 + 2*m**2 + 2*m**2) in the form s + x*m**2 + f*m and give x. 120 Rearrange 48*k**4 - 97*k**4 + 48*k**4 + k**2 + 4*k**3 + 3*k - 1 to the form m*k + s*k**3 + p*k**2 + b*k**4 + g and give p. 1 Rearrange 7 - 7 + 4*q**2 + q**2 - 2*q**3 - 77*q - 7*q**2 to c + a*q + y*q**3 + l*q**2 and give y. -2 Rearrange 4*v**3 - 3*v**3 + v**3 + (-71*v**2 + 26 - 26)*((0 + v + 0)*(-1 + 5 - 1) + 1 - 1 + 2*v) to the form r*v**3 + p + a*v + z*v**2 and give r. -353 Rearrange (37 - 30 - 20)*(2 + 3 - 3)*(6*r - 5*r + 11*r) to x*r + t and give x. -312 Rearrange (-1 - m + 1 + (1 - 2 + 3)*(-4*m + m + 5*m) - 2*m + 3*m + m - 2 + m + 2 - m - 2 + 2)*(-3 - 1 - 5) to the form h + j*m and give j. -45 Rearrange (-298 + 298 + 33*j)*(5 + 7 + 0) to the form d + w*j and give w. 396 Rearrange (-5*y + 0*y + y)*(44 - 16 - 109 - 115) to the form h + z*y and give z. 784 Express -7*w**3 + 2*w - 11 - 5*w**2 + 3 + 0 + 2*w**4 + 6 in the form r*w**3 + u*w**4 + q*w + x + z*w**2 and give r. -7 Rearrange 2*m - 3*m**2 - 2*m + (1 - 1 + m)*(3*m + 3*m - 1 + 0*m) + 8*m**2 + 25*m - 25*m to q*m + i*m**2 + k and give i. 11 Rearrange -6*q + 91 - 21 - 48 to the form h*q + d and give h. -6 Rearrange -35*v**2 + 2376*v - 2376*v + 5*v**3 to the form j*v**2 + q + r*v + c*v**3 and give j. -35 Rearrange -2 + 4 + 76*i**2 + 2*i + 73*i**2 + 3*i**3 - 152*i**2 - 4 to the form s*i + d*i**2 + n*i**3 + v and give d. -3 Express -73 - 147 + 39 - 87 + 41 + 5*w**2 in the form z*w + p*w**2 + b and give b. -227 Rearrange d**2 + 0*d**2 - 3*d - 94*d**4 - 3*d**3 + 97*d**4 to w*d + r + t*d**2 + h*d**4 + m*d**3 and give t. 1 Express (16*x - 9*x**2 - 16*x)*(5*x + 22 + 7*x - 11*x) in the form t*x + d*x**3 + k + g*x**2 and give d. -9 Express (y - y + 4*y**3)*((-2 + 2 + 2)*(-2 - 1 + 2) - 12 - 5 - 23 - 2 - 3 + 6 + 0 + 3 - 5) as h*y**3 + i*y + p*y**2 + j and give h. -172 Rearrange -78*q - 45*q - 237*q - 57*q to the form z*q + m and give z. -417 Rearrange m**3 + 209 + 2*m - 2*m**2 - 108 - 102 + m**4 to x*m**3 + n + r*m**4 + j*m + u*m**2 and give x. 1 Express 2*r**2 - 2*r**2 + 2*r**2 - 9*r**4 + r - 2*r**3 + 10*r**4 - 4 in the form a + v*r**4 + k*r**3 + l*r + o*r**2 and give k. -2 Rearrange 259*y**2 + 0*y - 242*y**2 - 5*y + y to the form b + v*y + q*y**2 and give q. 17 Rearrange -33*g**4 + 1 + 5 + 4*g**3 + 32*g**4 to c*g**2 + x*g**4 + a*g**3 + p + t*g and give a. 4 Express -2*h - 1 + 1 + 2*h + 5*h - 4*h + (3*h - 4*h + 0*h)*(-3 + 1 + 1) - 7*h - 12*h + 1 + 12*h as c*h + p and give c. -5 Rearrange (-27 - 6*b + 6 - 1)*(-1 + 2 - 3)*(-3*b + b**2 + 3*b) to g + k*b**3 + m*b + j*b**2 and give j. 44 Rearrange -1397*z + 87*z - 571*z to the form f + o*z and give o. -1881 Rearrange -9971 - 3*a**3 + a**3 + 4*a**3 + 9970 + 0*a**2 - 23*a**2 to the form p*a**2 + o + t*a**3 + h*a and give o. -1 Rearrange 3*u**2 - 22*u**2 + 1 - 18*u**2 - 7*u**2 + 3*u**2 to m + y*u + f*u**2 and give f. -41 Express (324 - 145 - 184 - 103)*(b + 2*b - 4*b) in the form r*b + n and give n. 0 Express (0 + 0 + 2)*(2*j + j - j) + 14*j + 35 - 21*j + 9*j in the form r + z*j and give r. 35 Express 138*r - 148*r - 58*r + 3 in the form a + k*r and give a. 3 Rearrange 2*b**2 - 205*b - 7 - 1 + 8 - 124*b to the form l + z*b**2 + x*b and give z. 2 Rearrange (-22*y**3 + 4*y**3 - 11*y**3)*(0 + 1 - 11*y + 1) to the form r*y**2 + v*y**4 + j*y + u + w*y**3 and give w. -58 Express (9 - 9 - 2*j)*(-42 - 44 + 27) + 2*j - j + j in the form c + x*j and give x. 120 Express -18*y**2 + 17*y**2 - 23*y + 2*y**4 + 45*y**3 + 25*y as o + j*y**3 + i*y**4 + a*y + x*y**2 and give i. 2 Express (370 + 1394*c + 134*c - 370)*(-1 + 1 + 3*c**3) in the form m + r*c**3 + d*c + h*c**4 + p*c**2 and give h. 4584 Rearrange ((2 - 1 - 3)*(-3 + 1 + 1) - 1 - 1 + 0 + 1 - 2 + 4)*(20*a**3 - 52*a**3 - 48*a**3) to the form t*a**2 + y*a + z*a**3 + g and give z. -240 Rearrange 136*c + 137*c + 60*c - 76*c to t*c + k and give t. 257 Rearrange 14 + i - 5*i + 8*i + 27 to j + s*i and give s. 4 Express 4*q**2 - 2*q**2 + 10*q**2 + (6*q - 5*q - 2*q)*(-2*q + 2*q - 2*q) - 1 + 1 - q**2 + q**2 - 5*q**2 + 11*q + 0*q as z*q**2 + d*q + v and give z. 9 Express -293*v + 698*v - 1 - 120*v as k + s*v and give s. 285 Express 128 - 394*u - 58 - 70 as f*u + v and give v. 0 Rearrange (-1969 + 57*r + 1969)*(2*r - r + 0*r + (-2*r + 2 - 2)*(4 - 3 + 0) - 3*r - 2*r + 4*r) to t + w*r + p*r**2 and give p. -114 Express (14 + 3 + 3)*(1 + 16*n - 1) in the form j*n + s and give j. 320 Express (-3*n + 3*n - 2*n**2)*(-5*n + 5*n + 2*n**2) - 20*n**4 - 49*n**4 - 47*n**4 in the form x + l*n**4 + m*n**3 + y*n**2 + i*n and give l. -120 Rearrange 58957 - 58957 - 338*p to the form j*p + u and give j. -338 Express (-y +
{ "pile_set_name": "DM Mathematics" }