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form v + q*h + d*h**2 and give q. -7728 Rearrange -432*o - 78*o**2 - 6*o**2 - 415*o + 825*o to the form a*o**2 + x*o + n and give a. -84 Express (-3*i - 2*i + 2*i)*(1 - 5 + 0)*(-420 + 110 - 532) in the form t*i + l and give t. -10104 Express -8*k**2 - 122 - 226 + 338 + 12*k in the form f + y*k + r*k**2 and give r. -8 Rearrange (11 - 21 - 26 - 1 + 0 + 2 + 0 + 2 - 1 + (3 - 3 + 1)*(4 - 1 - 2))*(15*x**2 - x**3 - 15*x**2) to the form b*x**2 + j*x**3 + m*x + i and give j. 33 Express 22938420*z - 15695*z**2 - 22938420*z + (2*z**2 + 0 + 0)*(2 - 1 + 0) in the form o*z**2 + l + k*z and give o. -15693 Express -641*x**4 + 1603*x**4 - 775*x**4 - 17*x - 2 + 4 as j + f*x**4 + t*x**2 + g*x**3 + z*x and give z. -17 Express -19613372 - 3*s + 50*s**4 + 19613372 + (2 + 0 - 3)*(0*s**4 + 4*s**4 - 5*s**4) in the form o*s + h*s**4 + n*s**3 + x + y*s**2 and give o. -3 Express -2*v**3 + 22 - 35291*v - 2*v**2 + 35291*v - 11 - 2*v**4 as n*v**2 + l*v**3 + c*v + k*v**4 + x and give l. -2 Rearrange 849*y - 134 + 855*y - 1696*y to the form i + x*y and give x. 8 Rearrange (0*b - b + 0*b + (-2 + 0 + 0)*(-5*b + b + 0*b))*(b + b - b) + (-3*b + 2*b - b)*(-552 + 552 + 134*b) to z + k*b + f*b**2 and give k. 0 Express z + z - 3*z + (862 - 1248 + 925)*(-3*z + 3 - 3) + 1 + z - 1 as u + j*z and give j. -1617 Express -6634*j**2 - 158 + 4*j**3 + 6634*j**2 + j**4 in the form u*j**2 + o*j + x*j**3 + q*j**4 + z and give o. 0 Rearrange 7*d**3 + 1497462 + 6*d**3 - 1497455 + 2*d**4 - 6*d + 0*d**4 to the form w*d**2 + a + y*d**3 + r*d**4 + f*d and give y. 13 Rearrange -267*j - 9851 - 8811*j + 9851 to the form l*j + b and give l. -9078 Rearrange 193*w + 156*w - 17547 + 17582 to n + a*w and give a. 349 Rearrange (6914 + 2756 + 3217 + 6711 - 2453 - 2254)*(-2*c**2 + 4*c**2 + 2*c**2) to the form a*c**2 + m*c + r and give a. 59564 Express -1707*x - 1221*x - 282*x + 891*x - 255 + 256 in the form c + v*x and give v. -2319 Express 3*a**4 + 5 - 528*a - 55*a**2 - 5 + 2*a**3 + 526*a as k*a**2 + s + h*a**4 + f*a + d*a**3 and give k. -55 Rearrange -3*t - 2*t**2 + 2*t - 8073 + 3882 + 3073 to c + r*t**2 + a*t and give c. -1118 Rearrange 1311*n - 695*n - 660*n + 3 - 3 + n + n + 3*n - 5*n + (n - n + n)*(-2 - 1 + 1) + 2*n - n + n + (-3 + 1 + 1)*(1 - 2*n - 1) to k + x*n and give x. -42 Rearrange 94 + 31*v - 45 - 101 - 23 to the form q + h*v and give h. 31 Express -15*i**2 - 374145 + 236*i + 374145 in the form x*i + o*i**2 + s and give x. 236 Express 6*k - 7*k**3 + 4 + 8*k**2 - k + 4*k**4 - 5 - 3*k as f*k + o + l*k**3 + m*k**4 + x*k**2 and give m. 4 Express -13084*t**2 - 1 + 2*t - 5*t**3 + 11710*t**2 - 2*t as p*t**2 + k + w*t + v*t**3 and give p. -1374 Rearrange (u**3 - u**3 + 2*u**3)*(5 + 8 - 10)*(-2264*u - 2269*u + 4540*u + 5) to the form y*u**3 + i + a*u**2 + g*u**4 + x*u and give g. 42 Express (1 + 2 - 5 + 2 + 2 - 2 + (0 + 0 - 2)*(-3 - 2 + 3))*(-323*m + 323*m - 55*m**3)*(-2 + 5*m + m - 2*m) as v*m**2 + o*m + l + a*m**3 + y*m**4 and give a. 440 Express 10 - 10 - 3*n**4 + (-n**2 - 2 + 2)*(-3*n + 3*n - 2*n**2) + (273*n**2 + 11 - 11)*(1 - 1 - 3*n**2) as r*n**2 + i*n + o*n**4 + m + s*n**3 and give o. -820 Express 296*t**3 + 13693*t**2 + 13696*t**2 + 8*t + 1 - 27389*t**2 as a*t + h*t**2 + s*t**3 + f and give s. 296 Express (7 - 7 - 8*g**2 + (-g + 3*g - 4*g)*(-58*g - 49*g - 299*g))*(1 - 1 - g**2) as l*g + o*g**4 + r*g**3 + m*g**2 + i and give r. 0 Rearrange -641*u + 1249*u + 3659*u to d + r*u and give r. 4267 Rearrange (3*k**2 + 1 - 1)*(-5586 + 2253 + 3279 + 10224 + 9325) to the form r + u*k + s*k**2 and give s. 58485 Express -246 - 2*b - 359 + 434 - 3 - 2*b + 3 + (-b + b + 2*b)*(-1 - 1 + 0) - 2*b + 3 - 3 - b - 3*b + b + 3*b - 3*b - b as h*b + p and give p. -171 Express (-775 + t + 775)*(2 + 0 - 3 + 1 + 4 - 4 - 2 - 1 + 5 + (-3 + 2 + 0)*(-4 + 1 + 1) + 7 - 3 - 3 - 19 + 59 + 32) in the form j*t + x and give j. 77 Rearrange -3005*o + 369*o + 823*o - 3286*o + 319*o to the form q*o + l and give q. -4780 Express -5*x + x**4 + 2 + 6*x - 2 - 3*x**4 - 2 + 198*x**2 in the form s*x**4 + w*x + o*x**3 + t*x**2 + c and give c. -2 Express -853*m + 24984*m - 4379*m in the form r*m + o and give r. 19752 Express 1218*u**2 - 4*u**3 + 2 - 1215*u**2 - 33*u - 2 as j*u**3 + h + s*u + x*u**2 and give x. 3 Express -a**4 - 2*a - 66862307*a**3 - 26 + 16*a**2 + 66862307*a**3 in the form w + y*a + h*a**4 + j*a**3 + b*a**2 and give w. -26 Express (55*s - 453 + 453)*(-4 + 5 - 2)*(-30 - 6 + 86)*(-3*s + 3*s + s) as n + k*s**2 + w*s and give k. -2750 Express 615*p - 395*p + 147*p + 917*p + 702*p in the form a + v*p and give v. 1986 Express -4*h - 57*h - 2*h**3 - 57*h**2 - 58*h**2 + 187*h**2 - 67*h**2 + 4 in the form j*h**3 + r + y*h**2 + g*h and give r. 4 Express (2 - 8 + 10)*(-3*k + 15*k + 19*k) + 13*k - 124 + 124 in the form q + l*k and give l. 137 Rearrange -22*d**3 - 43*d + 5 + 42*d - 2*d**4 + 2*d**2 + 4 - 11 + 3 to the form g*d + v + n*d**2 + p*d**4 + c*d**3 and give p. -2 Express 723*k - 1366*k + 124*k**2 + 631*k in the form p + u*k**2 + v*k and give v. -12 Rearrange (28 + 63 + 93)*(-32*h + 10*h + 5*h) to the form p + u*h and give u. -3128 Rearrange (-3 - 1 + 6)*(-7*j + 7*j + 3*j**2) - 325*j + 19*j**2 + 325*j + (-j - 3*j + 2*j)*(-8*j + 6*j + 8*j) to the form q + u*j**2 + l*j and give u. 13 Rearrange 64 + 36*w + 30*w + 36*w + 37*w - 127*w to the form g + d*w and give d. 12 Rearrange 2*y - 11216*y**2 + 11205*y**2 - 2*y**3 + 6*y**3 to h*y**3 + o + m*y**2 + z*y and give m. -11 Express 2308*i + 2312*i - 2*i**2 + 3946 + 3*i**2 - 4621*i - 1394 in the form x*i + t + l*i**2 and give x. -1 Express (15*m + 12*m - 9*m)*(-11 + 4 + 10)*(-4*m - 2*m + 12*m)*(-m + 1 - 1)*(0 - 2 + 4) as t*m**2 + i + u*m + z*m**3 and give z. -648 Rearrange -137 - 7*d + 256 + 6*d + d**2 - 130 to o + i*d + n*d**2 and give n. 1 Rearrange -25*f + 6*f**3 + 17*f + 6*f - 99*f**2 + 19*f**3 to i*f**2 + d*f**3 + r*f + w and give i. -99 Express 170644*r**4 - 326 + r**3 + 322 + r - 170650*r**4 as f*r**3 + v*r + m*r**2 + q*r**4 + l and give l. -4 Express (-8 - 15*j + 12*j - 11 + (4*j - 5*j + 3*j)*(1 - 3 + 4))*(-97 - 528*j**3 + 97) as g*j**3 + h*j**4 + r*j + q*j**2 + t and give h. -528 Rearrange (1 + 2*u + 0 - 3)*(-63 + 259 - 92) to h + w*u and give w. 208 Rearrange (-32*p + 104*p - 5 - 43*p)*(-74*p + 53*p - 81*p) to the form d*p + q*p**2 + i and give i. 0 Express (10 - 21 + 15)*(-173782*n**2 - 650*n**3 + 173782*n**2) as v*n**3 + r + o*n**2 + m*n and give o. 0 Express 52*c - 28*c + 17*c + (0 - 4 + 5)*(-5*c + c - 2*c)*(-6 - 21 + 8) as n + m*c and give m. 155 Express 281*i + 22182 - 44354 + 22175 in the form z*i + h and give z. 281 Rearrange -z - 1290*z**2 - 364*z**2 - 946*z**2 to the form m + i*z + b*z**2 and give i. -1 Rearrange -16 - 6*d + 16 + (-3*d - d + 3*d)*(-112 + 94 + 67) to the form q*d + v and give q. -55 Rearrange -1143*g**2 + 1240*g**2 + 0 + 0*g**3 + 5 + g**3 to the form t*g + p*g**3 + z*g**2 + w and give z. 97 Rearrange 5*v**2 + 2430*v - 2438*v + 45*v**2 + 33*v**2 + 3*v**2 to the form l*v**2 + p*v + o and give p. -8 Express -1529*h + 69*h**3 + 3050*h + 2 + 2*h**2 - 1533*h as k*h**3 + c*h + v*h**2 + r and give k. 69 Express 4 - 8 + 10*f**3 + 71*f**2 + 6 - 11*f**3 + 4*f as l*f**2 + x + c*f + i*f**3 and give i. -1 Express 49*o - 16*o - 16*o - 122*o**2 - 20*o in the form a*o**2 + d + c*o and give c. -3 Rearrange (-5318 - 6250 + 10345)*(-4 + 2 - 4)*(-2 + 2 + 2*o)*(1 - 3 + 1) to the form v*o + r and give r. 0 Express a - a + a**3 + (-20*a**3 + 6*a**3 - 4*a**3)*(-4 + 3 + 3) - 103*a**3 + 32*a**3 - 134*a**3 as c*a + j*a**2 + v*a**3 + i and give v. -240 Rearrange -16886*f**2 + 16886*f**2 + 14*f + 49*f**4 + 2 to the form w*f**4 + x + g*f**2 + n*f**3 + o*f and give x. 2 Express -10 - 734*y + 731*y - 19 + (-y - 3*y + 3*y)*(10 - 34 - 52) in the form f*y + q and give f. 73 Rearrange -607 - 1693 + 305 - 22*i**2 + 35*i**2 - 19*i**2 to v*i + s*i**2 + h and give h. -1995 Rearrange -539 - 48 - 97 + 1465*z - 1461*z to u + p*z and give p. 4 Rearrange 27*k + 12*k**3 - 1211*k**2 + 2414*k**2 - 1203*k**2 to t*k + m*k**2 + r + j*k**3 and give j. 12 Rearrange -7473 + 151*l - 10*l**2 + 186*l + 7475 - 106*l to f + q*l**2 + m*l and give m. 231 Rearrange (w**2 + 3*w**2 - 11*w**2)*(-150 + 62 + 39)*(-2*w + 7*w + 27*w) to the form i*w**3 + l + o*w + t*w**2 and give i. 10976 Express (496 + 1347 + 450)*(5*n**4 - 4
{ "pile_set_name": "DM Mathematics" }
qrt(12))/sqrt(6))**2 + (sqrt(25) + sqrt(150)/sqrt(6)*3 + sqrt(25))/(sqrt(50)/(sqrt(50)/sqrt(5) + sqrt(10))). 10*sqrt(5) + 47 Simplify ((sqrt(54)/sqrt(3))**2 + 4)*-3 + (sqrt(200) - (-2 + (sqrt(200) - (sqrt(200)*2)**2))) + (-2*sqrt(200))**2 + 3. 1539 Simplify (((3*(1 + sqrt(448)) - (1 + (sqrt(448)*-2 - sqrt(448))))*-5*3 + -3)**2 + 1)*2. 95040*sqrt(7) + 7259780 Simplify (-3*(sqrt(152) + sqrt(152) + (1*sqrt(152) - sqrt(152))))/(-2*sqrt(128) + sqrt(8)) + 2*6*sqrt(152)/(sqrt(8) + sqrt(128)). 114*sqrt(19)/35 Simplify (4 + (3*(sqrt(1539) - sqrt(1539)*-2))**2 - ((-1 + sqrt(1539))**2 + -1 + 3*(sqrt(1539) - (sqrt(1539) - (0 + sqrt(1539)))**2) + sqrt(1539)))*-3. -369372 + 54*sqrt(19) Simplify ((-3 + (sqrt(3267) - (sqrt(3267) - (sqrt(3267) - (sqrt(3267) + 1))*4) - sqrt(3267)) + -2 + sqrt(3267) + 4)*-6)**2. 900 Simplify (2 + 2*sqrt(1792) + ((sqrt(308)*-2 - sqrt(308))/sqrt(11) - sqrt(28)) + 1*(sqrt(1372) + -2) + -1)**2. -76*sqrt(7) + 10109 Simplify -4*((sqrt(308)/(sqrt(11) + (sqrt(66)/sqrt(2))/sqrt(3)))**2 + sqrt(336)/(sqrt(48)/sqrt(4))*6). -48*sqrt(7) - 28 Simplify (5*(sqrt(5500) + (sqrt(5500) - sqrt(5500)*-2*-5 - sqrt(5500)) + sqrt(5500)))/(-3*sqrt(20)/(sqrt(12)/(2*sqrt(3)) - sqrt(4))). -200*sqrt(11)/3 Simplify 1 + ((sqrt(65) - (sqrt(65) + 2*sqrt(65))*-1) + sqrt(65)*2*-2)/(sqrt(50)/(sqrt(30)/sqrt(3)) + (sqrt(15) - (sqrt(15) + -1*sqrt(15)))/sqrt(3))*1. 1 Simplify ((5 + 3*(sqrt(68) + 1 + sqrt(68)) - 5*(((sqrt(68) + 0 + sqrt(68))*2 - sqrt(68)) + sqrt(68) + sqrt(68)))**2 + 5)*6 + -4. -3648*sqrt(17) + 147698 Simplify -2 + (-2*4*(1*sqrt(220) - sqrt(220)))/(sqrt(30)/((-2*sqrt(36))/sqrt(6))). -2 Simplify ((sqrt(1980) + -2*sqrt(1980)*-2)/(-1*sqrt(704)*-2)*5)**2. 28125/64 Simplify 2 + (sqrt(448)*-1)**2 - (sqrt(448) + (sqrt(448) + 2)**2 + -5 - sqrt(448)) - (-2*-1*(-1 + 1 + sqrt(448)))**2. -1789 - 32*sqrt(7) Simplify (((2*2*sqrt(210))/((2*sqrt(7) + sqrt(7))*-1 + sqrt(7)))/((-3*sqrt(160)*2 - sqrt(160)) + (sqrt(160) + sqrt(160)*-1*4 - sqrt(160)) + sqrt(160)))**2. 3/400 Simplify -5 + 4 + (sqrt(1088)*1*2 + ((sqrt(1088) - (sqrt(1088) + -1)) + sqrt(1088))*3 + sqrt(1088) + 2 + 1 + (sqrt(1088)*-1 - sqrt(1088)))**2. 384*sqrt(17) + 17443 Simplify 0 + (4*-5*(sqrt(77) - (sqrt(77) - (sqrt(77) - (-2*sqrt(77) + sqrt(77))))))/(3*6*-1*sqrt(7)). 20*sqrt(11)/9 Simplify (((sqrt(1920)*-1*-2 + sqrt(1920))*4)/(2*(5*sqrt(486)*-2 - sqrt(486))))**2. 1280/1089 Simplify (-5 + 1*sqrt(80) + (-2*sqrt(5760))/sqrt(8) - (sqrt(500) + 0 + -5 - sqrt(60)/(sqrt(768)*-1)))**2. 290405/64 Simplify ((sqrt(68)*1*4)**2 + sqrt(68) + -5 - 2*(2 + sqrt(68))*-6)*6*-1. -6642 - 156*sqrt(17) Simplify ((2*sqrt(65)*-2 - ((sqrt(65) + (sqrt(65) - -2*sqrt(65)) + sqrt(65))*-3 - sqrt(65) - sqrt(65)))/(5*(sqrt(80) + sqrt(80)*-2)))**2*2. 2197/200 Simplify (2 + 4*(sqrt(112) + 1 + -5) + -5 + (-1*sqrt(112)*3)**2)*6*-1. -5934 - 96*sqrt(7) Simplify ((sqrt(110)/sqrt(50))/(sqrt(110)/(sqrt(10)*-2)))**2 + -2 + (sqrt(3645)*-2 + sqrt(3645))/sqrt(9). -9*sqrt(5) - 6/5 Simplify (((sqrt(456) - (-2*sqrt(456) - sqrt(456)))*4)/(-3*sqrt(1200) + sqrt(1200)))/((-2*sqrt(4)*-5)/(3*sqrt(98))). -42*sqrt(19)/25 Simplify (-5 + 1*4*-6*(sqrt(539) - (-2*sqrt(539) + sqrt(539))) + -1)*6. -2016*sqrt(11) - 36 Simplify ((1*sqrt(320)*-3 - sqrt(320))/(sqrt(1800)/sqrt(5)) + -1 + -1)**2. 32*sqrt(2)/3 + 164/9 Simplify -2 + (-3 + sqrt(272))**2 + 1 + (sqrt(153) + (sqrt(153) + -2*sqrt(153))*-2)/(sqrt(9) - sqrt(900)*-2). -167*sqrt(17)/7 + 280 Simplify 1 + (5 + -3 + ((-1 + sqrt(1539))*-2 - (0 + sqrt(1539))*1))**2. -216*sqrt(19) + 13868 Simplify (((2*(-2*sqrt(132) - sqrt(132)) + (sqrt(132) - (sqrt(132) + -1*sqrt(132)))*-3 + sqrt(132))*2)/((-1*sqrt(132)*-6 + sqrt(132))/(6*sqrt(22)/sqrt(2))))**2. 101376/49 Simplify -5*(1 + sqrt(132)/sqrt(588) + 6*(sqrt(176) - (sqrt(176) + -3))). -95 - 5*sqrt(11)/7 Simplify ((1*sqrt(153)*-3 + (-4*(1*sqrt(204) + sqrt(204)))/sqrt(12))*-6 + 1)**2. 204*sqrt(17) + 176869 Simplify (-2*((sqrt(63) - (-2*sqrt(1575) - sqrt(1575))) + sqrt(63))*-4)/(-3*sqrt(144) - -3*(sqrt(9) + sqrt(9) + sqrt(63)/sqrt(7) - sqrt(9))). -68*sqrt(7)/3 Simplify (2*(sqrt(19) + sqrt(19)*3) + (sqrt(38)/(3*sqrt(2)) - sqrt(19)) - (4*sqrt(2736) + 5 + 1 + sqrt(19)))**2. 500*sqrt(19) + 297199/9 Simplify ((6*(sqrt(30) + sqrt(120)/sqrt(4)))/(sqrt(90)/(sqrt(9)*-2)) + (-4 + 2 + sqrt(3) - sqrt(3) - (sqrt(24)/sqrt(8) + sqrt(3))*-1))**2. 88*sqrt(3) + 1456 Simplify -5*(-4 + (((sqrt(320) - (sqrt(320) + -2 + sqrt(320)))*3 + sqrt(320) + ((sqrt(320) - sqrt(320)*-2) + sqrt(320))*1)*-4 + -2)**2). -105760 - 16640*sqrt(5) Simplify ((((-2*(sqrt(1539)*-1 + sqrt(1539)) + sqrt(1539))*-2)**2 - ((sqrt(1539)*2 - sqrt(1539)) + -2 + 0)**2) + -2)*-1. -4611 - 36*sqrt(19) Simplify ((-1*sqrt(110)*1 - sqrt(110))/(sqrt(22)/sqrt(2)*4 - sqrt(11)))/(sqrt(8)/sqrt(4)*-6 - (sqrt(24)/(sqrt(48)/sqrt(4)) - sqrt(2))). sqrt(5)/9 Simplify 2*(2*-3*(sqrt(1088)*1)**2 + -5 - (5*sqrt(1088)*2*-3 + 4)**2). -1971498 + 3840*sqrt(17) Simplify (1 + sqrt(11) + 1 - 2*((sqrt(99)/sqrt(9) + sqrt(11) - sqrt(11)) + sqrt(11))) + (sqrt(33)*-1*1)/(sqrt(243)*-2 - sqrt(3)). -56*sqrt(11)/19 + 2 Simplify ((-3*(0 + sqrt(891)) + (sqrt(891) - ((sqrt(891) - (sqrt(891)*-2 + sqrt(891))*-1) + sqrt(891))))**2 + ((2*sqrt(891) - sqrt(891))*2)**2 + -3 + 3)*-5. -57915 Simplify (sqrt(1344) - -2*sqrt(1344))/(sqrt(135)/sqrt(5) - sqrt(3)) + 3*(sqrt(1008)*2*3 + 2). 6 + 228*sqrt(7) Simplify ((sqrt(13) - sqrt(130)/(-2*sqrt(10)) - (-3*sqrt(13) + 1) - (sqrt(117) - sqrt(117)*2*5)/(-5*sqrt(144) - sqrt(9))) + 3)**2. 114*sqrt(13)/7 + 43021/196 Simplify (-6*(-5*(-2 + sqrt(80)*2 + 2 + (2*sqrt(80) + -2 - 4*(sqrt(80) + -1))) + 5))**2. 900 Simplify -1 + 4*(-4*(sqrt(360) - sqrt(360)*-1)/sqrt(8) + 5) + 5. -96*sqrt(5) + 24 Simplify ((1*sqrt(2448) + 1 - (sqrt(2448) - (1*sqrt(2448)*6 - sqrt(2448)))) + -1 + sqrt(2448) + -4 + 2)**2*1. -288*sqrt(17) + 88132 Simplify -5*(sqrt(2352) + 5 + ((sqrt(48) - sqrt(192)) + -3)**2 - (sqrt(1728)*4 + (sqrt(432)*2)/sqrt(9))**2). -260*sqrt(3) + 161930 Simplify -4 + ((sqrt(11) - (sqrt(77)*-2)/sqrt(7) - sqrt(11) - -1*sqrt(99))**2 + -5 + (sqrt(44)*2)**2 + sqrt(11) + 3)*4. 4*sqrt(11) + 1792 Simplify 6*(1 + (sqrt(847)*-2*1 + sqrt(847) + sqrt(847) - (sqrt(847) + (sqrt(847) - (0 + sqrt(847)))*-6)**2) + -1 + 5). -5052 Simplify ((2*(2*2*sqrt(209) + (sqrt(209) - (sqrt(209) + -2*sqrt(209)*2))))/(sqrt(11) - sqrt(110)/sqrt(40) - (-2*sqrt(1331) - sqrt(11))))**2. 19456/2209 Simplify ((sqrt(30) - 4*sqrt(30))*-2)/(sqrt(294)*-1 - sqrt(6)) - (-5 + (sqrt(160)/(sqrt(16)/sqrt(4)))/sqrt(8)*-5). 5 + 17*sqrt(5)/4 Simplify (((1*sqrt(175) - sqrt(175)) + -2)**2 + 0 - ((sqrt(77)*1)/sqrt(11) + (sqrt(448))**2 + -1)) + 2. -441 - sqrt(7) Simplify (3*-5*(sqrt(1900) - 5*(2 + sqrt(1900))) - ((sqrt(2299) - (-1 + sqrt(2299)))*6 + sqrt(2299) - sqrt(171)/(1*sqrt(36)/sqrt(4))))**2. 169920*sqrt(19) + 6634636 Simplify (-2 + sqrt(475)*-5 + sqrt(475))*-1 + 4 + -6*(sqrt(2299) + -4 - sqrt(2299))**2. -90 + 20*sqrt(19) Simplify -4 + (-2*((0 + sqrt(175))*3 + sqrt(175) + (sqrt(175) + 0)*6)**2 + (sqrt(175)*3 + 0)**2 + (6*3*sqrt(175))**2)*2. 46546 Simplify -1 + -5 + 5 + (((sqrt(396)/sqrt(144))**2 - sqrt(44))*-5 - (-5 + (2*sqrt(2156))**2)). -34535/4 + 10*sqrt(11) Simplify -1*(-1 + -1*sqrt(468) + (sqrt(468) + 1)*-4 - -2*(0 + sqrt(468)*-4 + sqrt(468) - sqrt(468)))**2*1. -79117 - 780*sqrt(13) Simplify (-1 + ((2*sqrt(17))**2 + 3 - -6*sqrt(153)) + -3*-3*sqrt(2057)*-4)*-3. -210 + 1134*sqrt(17) Simplify (((sqrt(171) - (sqrt(171) + -2)*-2)*-4)**2 + ((6*-1*sqrt(114))/sqrt(6)*5)**2)*-5. -209900 + 5760*sqrt(19) Simplify (6*(sqrt(1539) - (-3 + -1 + sqrt(1539))))**2 - (3*sqrt(38)*1)/(sqrt(2) + sqrt(180)/sqrt(10)). -3*sqrt(19)/4 + 576 Simplify ((-1*4*(sqrt(121) - ((sqrt(121) - 2*sqrt(121)) + sqrt(121) + sqrt(121)))*4)/(-1*sqrt(275)*1*-1))**2 + -1. -1 Simplify 6*(6*((3 + sqrt(500) + sqrt(500)*-1 - sqrt(500)) + -1) + 1*(sqrt(500)*-1 + -1)*-4)**2. -3840*sqrt(5) + 13536 Simplify ((sqrt(637) + sqrt(637) + -1)*-2 + -4)**2*-3 + (sqrt(468)*-4 - sqrt(1573)*1) + 4. -30584 - 371*sqrt(13) Simplify ((3 + ((sqrt(18) - (sqrt(72) - sqrt(18)))/sqrt(2))/(sqrt(33)/(-1*sqrt(11))))**2 + -3)*5 + -2. 28 Simplify 0 + 4*(sqrt(20) + -1)**2 + 0 + ((-2*sqrt(2420))**2 - sqrt(20)) + 0 + 0. -18*sqrt(5) + 9764 Simplify -3 + (-5*sqrt(432)/sqrt(3))/(-2*(sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - 1*sqrt(72)))) + 1. -2 + sqrt(2
{ "pile_set_name": "DM Mathematics" }
c + r*w and give v. -161 Express 43*q - 113 - 32*q - 12*q in the form t + h*q and give t. -113 Rearrange ((1 - 2 - 1)*(1 - 1 + 2) + 10 - 10 - 13)*((-x - 4*x + 3*x)*(3 + 3 - 4) + x + 0*x - 2*x) to the form p*x + j and give j. 0 Rearrange -k - 3*k + 17*k + (-3 + 5 - 3)*(2*k - 5*k + 4*k) - 3*k + 3 - 3 - 3*k - 13*k - 2*k to h + q*k and give q. -9 Express 489 + 492 - 977 - 15*m as r + j*m and give r. 4 Express 2 - 22*g**3 + 2*g**3 + 3*g**2 - 4*g**2 + 2*g as s*g**3 + n*g + z*g**2 + b and give s. -20 Express -1460*f - 369*f - 425*f in the form z + q*f and give q. -2254 Rearrange 2*x**3 + 1046 + 2*x - 3*x**3 - 931 to p + r*x**3 + o*x + c*x**2 and give r. -1 Rearrange 1 + 97*p**3 - 196*p**3 + 3*p**2 + 114*p**3 to v*p**3 + s*p + o + y*p**2 and give y. 3 Express -4*j**2 + 127 - 306 + 153 - 10*j**2 in the form o*j**2 + k*j + l and give o. -14 Express 0*m**2 + m**2 + m**2 + (-3*m + 3*m + m**2)*(7 - 1 - 2) + m**2 - 4*m**2 + 0*m**2 + (-3 + 0 + 2)*(-22 + 7*m**2 + 22) as o*m**2 + f*m + k and give o. -4 Express (-23*w + 43*w - 109*w - 88*w)*(0*w + 3*w - 2*w) in the form h*w + l*w**2 + c and give l. -177 Rearrange 2*o**3 + o**2 - 2*o**2 + 27 + 4*o**2 - 20 to l*o**3 + t + n*o**2 + a*o and give n. 3 Rearrange -7*v**4 - 6*v - v**3 - 4*v**2 + 13*v**4 - 11*v**2 + 4*v to the form f*v**3 + n*v**2 + k*v + h*v**4 + p and give k. -2 Express ((-1 + 1 + t)*(0 + 2 + 0) - t + t + t + (-3 - 1 + 5)*(t - 3*t + 0*t) - 3 + 3 - 2*t)*(2082 - 4206 - t + 2073) in the form g*t + v + z*t**2 and give z. 1 Rearrange 12*g**2 - 9943*g**3 + 9940*g**3 - g + 7*g to q*g + z*g**2 + s + t*g**3 and give q. 6 Express (4*n - 4*n + 3*n**3)*(-54*n - 69*n - 39*n) in the form q*n**3 + u*n**2 + v*n + s*n**4 + y and give s. -486 Rearrange (113 + 34 - 6)*(-3 + 2*x + 3) to k*x + i and give k. 282 Express (23*j - 12*j + 10*j)*(18 + 23 - 43 + 6*j) in the form r*j**2 + z + y*j and give r. 126 Rearrange (6 - 2*q - 6)*(-36*q**3 - 23*q + 13*q + 7*q) to the form o*q + j*q**4 + x*q**3 + l*q**2 + p and give j. 72 Express -19660*c + 237*c**2 + 19660*c as l*c**2 + b*c + u and give l. 237 Rearrange (25*x - 4277 + 4277)*(-x**2 + 3*x**2 + 3*x**2) to the form p*x**2 + u*x**3 + t + j*x and give u. 125 Rearrange -c**4 - 4*c**2 + 2 + 10*c**3 - 18*c**3 - 3*c + 5*c + 2*c**3 to the form w + r*c**2 + z*c + l*c**4 + q*c**3 and give z. 2 Express 55 - 69*k**2 - 2*k**4 + 2*k + 30*k**2 + 39*k**2 as u*k**4 + q*k**2 + j + o*k**3 + r*k and give u. -2 Express 38*l**2 + 3 + l - 3 - l**3 + 5*l**2 in the form r + w*l**3 + b*l**2 + t*l and give w. -1 Rearrange -2*f + 836 - 14*f**2 - 834 + 2*f**4 + 2*f**3 - 4*f**3 to l*f**4 + a + r*f + d*f**2 + z*f**3 and give a. 2 Express 18*r**3 - 36 + 36 + 7*r**3 - 2*r**3 + 2*r**3 + (0*r - 2*r + r)*(-2*r**2 + 0*r**2 + 4*r**2) in the form g*r**3 + q + x*r**2 + j*r and give q. 0 Express -211*m - 2*m**2 + 6*m**2 + 213*m in the form g*m + y*m**2 + r and give g. 2 Rearrange -776*o**2 + 849*o**2 - 375*o**2 to the form v*o + n*o**2 + l and give n. -302 Express (2*d + d - 2*d)*(-4 + 3 - 1) + 21*d + 3*d + 6*d + (-d + d + 2*d)*(0 + 1 + 1) - 4*d - 2*d + 4*d as f + c*d and give c. 30 Express -20 - 2 - j**3 - 8*j**3 + 7*j**3 as l*j**3 + u*j + r*j**2 + v and give l. -2 Express 47*y + 17 + y**2 - 107*y + 60*y + 445 in the form d*y + w + q*y**2 and give w. 462 Express (v**2 + 3*v + 2 - 3*v)*(-5*v + v + v) + 52*v**3 + 51*v**3 - 105*v**3 + 43 in the form n + s*v + d*v**2 + b*v**3 and give n. 43 Express -2*k**3 - 4 - 28*k + 8*k**2 + 70*k - 21*k - 3 - 19*k as n + l*k + o*k**2 + f*k**3 and give o. 8 Rearrange 32 - 35 - 6*h**2 - 2*h**4 + 0*h**2 + h**3 + 6*h**2 + h to s*h**3 + t*h**4 + c*h**2 + f*h + r and give t. -2 Express 0*x**2 - x + 11*x**3 - 5*x**2 - 9159 + 9159 as l*x + i + n*x**2 + k*x**3 and give l. -1 Express -594*h + 3*h**2 + 323*h + 337*h in the form j*h + c + t*h**2 and give t. 3 Express (-64 + 291*x - 152*x - 137*x)*((0*x + x - 2*x)*(-6*x + x + 3*x) + 1 + 2*x**2 - 1) as h + m*x**2 + f*x + z*x**3 and give m. -256 Rearrange 3 + 41*z**2 + 2 - 27*z - 2 + 27*z to s*z + k + q*z**2 and give k. 3 Express (6 + 2*w - 6)*(2*w - 5*w + 2*w + (3 - 2 + 0)*(2*w + 4 - 4) + 13*w + w - w) in the form m*w**2 + p*w + n and give m. 28 Express (2 + 4 - 4)*(706 + 13086*g - 331 - 375) as b + x*g and give b. 0 Express ((11 - 8 - 4)*(1 + 3 - 1) - 4 + 3 + 5)*(-3*p**2 + 5*p**2 + 0*p**2) as k*p**2 + h*p + l and give l. 0 Rearrange 7 + 2*m**2 - 4*m + 3*m**3 - m - m**3 - 3*m + 9*m to the form p*m**3 + a*m + t*m**2 + n and give n. 7 Express (-w + 7*w**2 - 2*w + 4*w)*(-15*w**2 + 4*w**2 + 47*w**2) as d*w**4 + a*w**2 + r*w**3 + o + m*w and give a. 0 Rearrange -7 + 467*d + 2*d**4 - 2*d**2 - 484*d + 8 + d**3 + 0*d**3 to u*d**3 + j*d + g*d**4 + l + o*d**2 and give o. -2 Rearrange -558*b - 260*b - 231*b + 12*b to d + z*b and give z. -1037 Rearrange 21*u**2 + 3*u**2 - 4*u**2 - u**3 + 23*u - 18*u**2 - 4*u**2 + u**4 to the form c + w*u + y*u**4 + j*u**2 + m*u**3 and give w. 23 Rearrange (1041*i**2 - 7239 + 7239)*(4 - 1 - 1) to y*i**2 + z*i + o and give y. 2082 Express (0*b + 0*b + b)*(3*b + 0*b - 4*b) - 2 + 2 - 2*b**2 + 26*b**2 - 9*b**2 - 18*b**2 + 328 as i + t*b**2 + z*b and give i. 328 Rearrange 7 + 76*c - c**4 - 11 + 2*c**3 - 74*c + 4*c**2 to the form p*c + g*c**3 + h*c**2 + y*c**4 + r and give g. 2 Rearrange -3*o**3 + 125*o**2 - 2*o**3 + 13*o**3 - 7*o**3 to the form x + f*o**3 + j*o + y*o**2 and give y. 125 Express -8*c - 13 + 10 - 19*c - 2*c**3 + 7*c as q + x*c**3 + n*c + g*c**2 and give q. -3 Express 27*z - 176*z - 43*z in the form a + x*z and give x. -192 Express (-3 + 3 + 3*r**2)*(24*r - 12 - 162*r + 12) as l*r + h*r**2 + x + v*r**3 and give v. -414 Rearrange -23*h**4 + 2*h**3 + 13*h**4 - 6*h**2 + 17*h**2 + 2 + 7*h**4 to y*h**2 + r*h**4 + a*h**3 + v + m*h and give y. 11 Express -6502 - 1617*q - 6494 + 12996 as a + v*q and give v. -1617 Express (-3*p**2 - p**2 + 5*p**2)*(9*p**2 - 42*p**2 + 135*p**2) in the form l*p + f*p**3 + x*p**4 + z + s*p**2 and give x. 102 Express (5*o**3 - o**3 - o**3)*(-51 + 49 + 38*o + 172*o) as s*o**3 + l*o**4 + v + y*o + t*o**2 and give s. -6 Express (q + 1 - 1)*(106 - 61 - 56 + q**2) in the form p*q**2 + k*q + h*q**3 + j and give k. -11 Express (16 - 6 + 5)*(2 - 9 + 9)*(3 - 3*n - 3) as w + z*n and give w. 0 Express 4*z**2 - 128 + 9 - 125 - 5*z**2 + 574*z - 573*z as f + g*z**2 + r*z and give r. 1 Express (5 + 18 - 9)*(0*b + 2*b + b) - b - b + 3*b + (-1 - 2 + 5)*(0*b + 3*b - 4*b) as h + z*b and give z. 41 Express -h**4 - 2*h - 297*h**3 + 2*h + 149*h**3 - 3*h**2 + 147*h**3 - 14 as a*h + w*h**3 + m + x*h**2 + r*h**4 and give x. -3 Rearrange ((-1 + 9 - 5)*(-32*r - 24*r + 33*r) + 1 - r - 1)*(-2 + 0 + 1) to the form l + z*r and give z. 70 Express -y + 1 - 2419*y**2 + 3 + 2418*y**2 in the form k + u*y**2 + g*y and give k. 4 Express -2*l - l + 5*l + (2 - 2 - 1)*(-l + 0*l + 0*l) + 342*l - 216*l + 228*l in the form k*l + n and give k. 357 Rearrange 3*u - 2*u + 0*u + (u - u - 2*u)*(2 + 0 - 1) + 41*u - 123 + 123 + u + 3*u - 5*u + (u + 2*u - 5*u)*(1 + 2 - 1) to the form z + h*u and give h. 35 Rearrange -9 + 8 - 2*q**3 - 8*q**4 + 3*q - 5*q**2 + 7*q**4 - 5*q + 3 to the form j*q**3 + a*q**4 + k*q + o*q**2 + r and give r. 2 Express -g**2 - 2*g - 33*g**4 + 29333*g**3 - 29335*g**3 - 4 + 3 in the form r*g**3 + z + j*g + u*g**4 + p*g**2 and give u. -33 Express 0*g**3 + 9*g**4 + 0*g**3 + (-g**2 - 3*g**2 + 3*g**2)*(-4*g**2 + 7*g**2 - 27*g**2) in the form i*g**3 + q + j*g**2 + z*g**4 + o*g and give z. 33 Express -33*i + 401*i + 217*i - 39*i in the form d*i + r and give d. 546 Express (-1 + 0 + 0)*(7*q + 11*q + 1 - 95*q + (-5*q + 4*q + 0*q)*(1 + 3 - 2)) as n*q + w and give w. -1 Express (2*w - 4*w - w)*(-323*w - 772*w - 670*w + 403*w) in the form c + k*w**2 + q*w and give k. 4086 Rearrange (-2*n - 6*n + 0*n)*(-3*n - 3*n + 5*n)*(-9 + 2 - 3) to z*n + u + d*n**2 and give d. -80 Express -2*g**3 + 1 - g**3 + 350*g - g**2 - 2*g**3 + 2*g**2 - 334*g in the form i*g + q + v*g**3 + l*g**2 and give i. 16 Rearrange -198*v**2 + 5446*v - 5446*v - 408*v**2 to x + b*v**2 + o*v and give x. 0 Rearrange 34 + 15 + 831*z**2 - 49 to the form d + m*z**2 + c*z and give m. 831 Rearrange -b**2 - 120 - 77 - 120 - 5 to c + a*b**2 + f*b and give c. -322 Express 42*u + 92*u + 3 - 33*u + 1 as q + t*u and give t. 101 Rearrange 141*h**3 - 359*h**3 - 714*h**3 + (5*h + 0*h - 3
{ "pile_set_name": "DM Mathematics" }
5 in decreasing order. 20, 3, -2, -5, -13 Sort -6, -70, 49 in increasing order. -70, -6, 49 Sort -4, -1, -3, -156, 5, -8 in ascending order. -156, -8, -4, -3, -1, 5 Sort -51, -1, 116, -15, -2 in descending order. 116, -1, -2, -15, -51 Sort -1/6, 13.32, -17/33. -17/33, -1/6, 13.32 Sort -0.02, -0.1, 2, 4, 2/143 in decreasing order. 4, 2, 2/143, -0.02, -0.1 Sort 2, 2/25, -0.2, -415, 0.8 in descending order. 2, 0.8, 2/25, -0.2, -415 Sort 4, 401, -2, 10 in ascending order. -2, 4, 10, 401 Sort -3, -296, 1/15, 8/3, 1. -296, -3, 1/15, 1, 8/3 Put -2/5, -3/5, 1/6, -6, 2/5 in descending order. 2/5, 1/6, -2/5, -3/5, -6 Sort 55, -26, 2, -13, 4. -26, -13, 2, 4, 55 Put 5, 2, -181, 173 in ascending order. -181, 2, 5, 173 Put 0, -405, 319, -2/9 in ascending order. -405, -2/9, 0, 319 Sort 23, 0.234, 14. 0.234, 14, 23 Sort 0.3, -3, 40/69, -0.3, -2/5, 5 in descending order. 5, 40/69, 0.3, -0.3, -2/5, -3 Put -675, -4, 1, 6 in decreasing order. 6, 1, -4, -675 Put 5, 77, 4, -5, -1 in descending order. 77, 5, 4, -1, -5 Sort -2, 495, -24. -24, -2, 495 Put 1, 2, -19, 67, 45 in decreasing order. 67, 45, 2, 1, -19 Sort -4, 2, -2370, 0.4. -2370, -4, 0.4, 2 Put 0, -123932, 9 in increasing order. -123932, 0, 9 Put -3, 5, 94, -0.9, 3, 1/4 in ascending order. -3, -0.9, 1/4, 3, 5, 94 Put 46, -1, -3, -46 in decreasing order. 46, -1, -3, -46 Put -80.9, -25, 2/77 in descending order. 2/77, -25, -80.9 Sort 16054, -3, -4, 5 in decreasing order. 16054, 5, -3, -4 Sort 2/13, -25.1, -0.23 in decreasing order. 2/13, -0.23, -25.1 Put -12, -83, -380 in ascending order. -380, -83, -12 Sort 0.3, 0.1, 2/21, -1, -3, -2164 in descending order. 0.3, 0.1, 2/21, -1, -3, -2164 Put -5, -54, -1, -3, 5, 2 in ascending order. -54, -5, -3, -1, 2, 5 Sort 5, -44.16, -2. -44.16, -2, 5 Sort 12, -11, -5, 0, 42, 5 in increasing order. -11, -5, 0, 5, 12, 42 Put -18, 2, 0, 8 in descending order. 8, 2, 0, -18 Put -5, 0, -0.06, -544, -0.5, -2 in descending order. 0, -0.06, -0.5, -2, -5, -544 Sort 2, 2589, -4, 5, 146 in decreasing order. 2589, 146, 5, 2, -4 Sort 3, -3.77, -8/3, -2/19. -3.77, -8/3, -2/19, 3 Sort 3, -2, -5, 8, 40, -3 in decreasing order. 40, 8, 3, -2, -3, -5 Sort 2, -3, 195, -1, 10 in decreasing order. 195, 10, 2, -1, -3 Put -6, -4, -5, -139, -15 in increasing order. -139, -15, -6, -5, -4 Put -5, 4, -3, -107, -106 in descending order. 4, -3, -5, -106, -107 Sort -1/3, -2, 0, -75, 0.3 in ascending order. -75, -2, -1/3, 0, 0.3 Put 5, -2, 3, 1988 in decreasing order. 1988, 5, 3, -2 Sort 2, 2767, -416. -416, 2, 2767 Put 0.12, -1/82, -0.09 in ascending order. -0.09, -1/82, 0.12 Sort 525, -2, 21, -1, -4. -4, -2, -1, 21, 525 Sort -461, 1/5, -5, 29, 4, -4 in descending order. 29, 4, 1/5, -4, -5, -461 Put -9, -25, 64, 11 in decreasing order. 64, 11, -9, -25 Sort 10, 1, -3, 34, 2 in decreasing order. 34, 10, 2, 1, -3 Put -16, 1.1, -2/15, 1/35, 0.4 in ascending order. -16, -2/15, 1/35, 0.4, 1.1 Sort 2340, 1/6, -4/37, 2, -0.3. -0.3, -4/37, 1/6, 2, 2340 Put -15, -0.5, 1477.3, -1/5 in descending order. 1477.3, -1/5, -0.5, -15 Sort -21, -3, 894 in decreasing order. 894, -3, -21 Put -52, 3, -4, 9, -2 in ascending order. -52, -4, -2, 3, 9 Put -3, -215, -42 in ascending order. -215, -42, -3 Sort -28, 3, 9, -214 in decreasing order. 9, 3, -28, -214 Put 0.2, 1895/8, -12, -1 in decreasing order. 1895/8, 0.2, -1, -12 Sort -5, -2578, -6 in ascending order. -2578, -6, -5 Sort -5/6, -14.9, -0.1, -2, 0.8 in ascending order. -14.9, -2, -5/6, -0.1, 0.8 Sort -4/7, -0.2, 2, -2 in ascending order. -2, -4/7, -0.2, 2 Sort 2, -1/16, -5, -8, 4 in descending order. 4, 2, -1/16, -5, -8 Sort 6/13, -5.6, 2/11, 9 in descending order. 9, 6/13, 2/11, -5.6 Sort -2, 2/3, 4/7, -0.27, -53 in increasing order. -53, -2, -0.27, 4/7, 2/3 Sort 102, 18, -87 in descending order. 102, 18, -87 Put -7, 0, 2/1891 in increasing order. -7, 0, 2/1891 Put -2, -6, 9, 11, 0 in descending order. 11, 9, 0, -2, -6 Sort -108, 201, 5 in decreasing order. 201, 5, -108 Put 8, 55, -0.02, 3 in decreasing order. 55, 8, 3, -0.02 Sort 0, 5, -3, 1, 4, 72 in descending order. 72, 5, 4, 1, 0, -3 Sort -4, -2, -1766, -3, 0, 4 in decreasing order. 4, 0, -2, -3, -4, -1766 Sort 2, -1, -14, -69 in decreasing order. 2, -1, -14, -69 Sort 3, -0.3, -98, -5/2, -1/18, 2/3 in decreasing order. 3, 2/3, -1/18, -0.3, -5/2, -98 Sort 4, -2/7, 5, -2.3, -4/305 in decreasing order. 5, 4, -4/305, -2/7, -2.3 Put 173, -1, 106 in ascending order. -1, 106, 173 Sort -3, -246, -8, 4, 36. -246, -8, -3, 4, 36 Sort -0.5, -3, 1, -4/373, -3/88. -3, -0.5, -3/88, -4/373, 1 Put 31, 8/5, 3, -5, 0.5, -13 in increasing order. -13, -5, 0.5, 8/5, 3, 31 Sort 2, -20, 1, -137, 3 in descending order. 3, 2, 1, -20, -137 Put 0.3, 4, 3, 0.1, -2/21, -155.5 in ascending order. -155.5, -2/21, 0.1, 0.3, 3, 4 Put 10, -2, -1, -11168 in descending order. 10, -1, -2, -11168 Sort -2240, 5, -14, -1 in ascending order. -2240, -14, -1, 5 Sort -1, -2, 9, -2100, -5, 7 in decreasing order. 9, 7, -1, -2, -5, -2100 Put -0.9, -2/124461, 1 in descending order. 1, -2/124461, -0.9 Sort 0, -9, -6, -5, 50 in descending order. 50, 0, -5, -6, -9 Sort -0.2, 0.3, 5, 36 in ascending order. -0.2, 0.3, 5, 36 Sort -4, -6, -5286. -5286, -6, -4 Put 0, -4, -6, 1, 4, -5 in ascending order. -6, -5, -4, 0, 1, 4 Put 250, -5, -8, -3, -25, 0 in ascending order. -25, -8, -5, -3, 0, 250 Put 253, 16, 3 in descending order. 253, 16, 3 Sort 1, 6, -3, 0.0125, -4. -4, -3, 0.0125, 1, 6 Put 2/9, 4, -1252 in decreasing order. 4, 2/9, -1252 Sort -262, -0.1, -2/7, -4, 4 in ascending order. -262, -4, -2/7, -0.1, 4 Put -1038, 5, 1 in decreasing order. 5, 1, -1038 Sort 2, 172, 3, -4, 4 in ascending order. -4, 2, 3, 4, 172 Put 1/7, 5, -0.16, 4, -0.5, -2/357 in decreasing order. 5, 4, 1/7, -2/357, -0.16, -0.5 Sort -2, -3, 4294, 5 in decreasing order. 4294, 5, -2, -3 Sort -0.1, 2, 3.3, -1, -2/345, 0.5 in ascending order. -1, -0.1, -2/345, 0.5, 2, 3.3 Sort -5, -4, -0.61, -62, 1 in increasing order. -62, -5, -4, -0.61, 1 Sort 1/2, -1/4, 1.1, -3, -1 in descending order. 1.1, 1/2, -1/4, -1, -3 Put 5, 4, -17, 18, 6, -5 in ascending order. -17, -5, 4, 5, 6, 18 Put -0.36, -57, 2/13, -3, 17 in descending order. 17, 2/13, -0.36, -3, -57 Put -26, 1, -1, -18, -4 in ascending order. -26, -18, -4, -1, 1 Put 3, -0.3, -4, 30, -20 in decreasing order. 30, 3, -0.3, -4, -20 Put 272896, -3/5, 5 in decreasing order. 272896, 5, -3/5 Sort -5, 0.1, -33, 0.01. -33, -5, 0.01, 0.1 Put 0, -10846/3, -3 in increasing order. -10846/3, -3, 0 Put -3, 1, -21, 9, -116 in increasing order. -116, -21, -3, 1, 9 Sort -0.1, 1032, -3/4 in ascending order. -3/4, -0.1, 1032 Put 1/17, -1997, 0, 1 in ascending order. -1997, 0, 1/17, 1 Sort 4, -10, 2, 34, 9 in descending order. 34, 9, 4, 2, -10 Sort 1, -3/10, 0.988 in descending order. 1, 0.988, -3/10 Sort -40742, -4, -5 in decreasing order. -4, -5, -40742 Sort 1.7, 0.3, 0.148, -4. -4, 0.148, 0.3, 1.7 Put 24, -7647, 1 in increasing order. -7647, 1, 24 Put -1, 3, -155, 16, 7 in decreasing order. 16, 7, 3, -1, -155 Sort -3, 0, -3838, -2, -4, 1 in decreasing order. 1, 0, -2, -3, -4, -3838 Sort -0.21, 0.1, 538, -1/8, 2, 0.2 in increasing order. -0.21, -1/8, 0.1, 0.2, 2, 538 Sort 272, 5, -2/29, 2/23 in increasing order. -2/29, 2/23, 5, 272 Put 9, -2/7, -58/13 in decreasing order. 9, -2/7, -58/13 Put -4, 7, 5, -50 in decreasing order. 7, 5, -4, -50 Sort -4, -106, 5, -50 in increasing order. -106, -50, -4, 5 Put -17, 4, -5, 3/2, 0, -8/5 in descending order. 4, 3/2, 0, -8/5, -5, -17 Put -14849, -19, -2 in decreasing order. -2, -19, -14849 Sort 1, -4, -1/4, 5/2, 1.632 in decreasing order. 5/2, 1.632, 1, -1/4, -4 Put 1016, -5, -3, -7, 3, 8 in increasing order. -7, -5, -3, 3, 8, 1016 Put -3, 4, 6, 34 in increasing order. -3, 4, 6, 34 Put 1, -1, 0, 4, -526 in ascending order. -526, -1, 0, 1, 4 Put 4, -10506, -5, 5, 0, -49 in increasing order. -10506, -49, -5, 0, 4, 5 Sort 0.3, 3/4, -1/2, 50, -3 in ascending order. -3, -1/2, 0.3, 3/4, 50 Put -1, 20, -2105 in decreasing order. 20, -1, -2105 Put -5.7, 3/11, 1/5, 1/2, -2, 4 in decreasing order. 4, 1/2, 3/11, 1/5, -2, -5.7 Put 15, 3532, 0, 5, -5 in increasing order. -5, 0, 5, 15, 3532 Sort 2, 6, -141, 3, 10 in descending order. 10, 6, 3, 2, -141 Put 99, -2/3, 0, -0.7 in ascending order. -0.7, -2/3, 0, 99 Sort -1, 136, -31, 4, -5 in dec
{ "pile_set_name": "DM Mathematics" }
-3*b**3 - 2*b**3 + 0*b**3)*(2*b + 4*b - 2*b) as p*b**4 + g*b**2 + d*b + n*b**3 + j and give p. -22 Express (3 - 3 + 1)*(0*b**2 - 4*b**3 + 0*b**2) + (2*b**2 + 4*b - 4*b)*(2*b + 2*b - 3*b) - 2*b**3 + 3*b**3 - 2*b**3 as i + g*b**3 + m*b**2 + k*b and give g. -3 Express 5*s**3 + 5 - 8*s**3 - 6*s + 6*s in the form f*s**2 + m + r*s + c*s**3 and give m. 5 Express (-r + 1 - 1 + (2*r - 2*r + r)*(-1 - 4 + 3) - r - 4*r - 2*r)*(1 - 4 + 4)*(2*r**2 - 29*r + 29*r + 13) as b + m*r + y*r**3 + v*r**2 and give m. -130 Express (9*z + 2*z**2 - 9*z)*(-4 + 1 + 2 - 3 + 4 + 0 + 3 - 4 - 1 + (2 - 2 - 1)*(-2 - 3 + 4) - 4 + 7 - 4 - 8 - 1 + 1) as o*z**2 + t*z + k and give o. -20 Express -1 - s**2 + 28*s**3 - s**4 - 2*s**4 - 30*s**3 as w + b*s**2 + g*s + j*s**4 + q*s**3 and give w. -1 Rearrange -75*a - 1 - a**2 - 2*a**3 + 0*a**3 + 81*a to p*a**2 + m + i*a + x*a**3 and give p. -1 Express -6 + 12 - 7 - 23*o as n + u*o and give n. -1 Rearrange 1 - 2*v**3 + 6*v + 4*v**3 + 1 to the form i*v**3 + a + x*v + f*v**2 and give a. 2 Rearrange 23 + 2*p - 10 - 10*p**2 + 12*p**2 to w + x*p + u*p**2 and give u. 2 Express 28 - 2*x + x**3 - 25 + x - 3*x**3 - 6*x**2 as y*x + v*x**2 + l + s*x**3 and give v. -6 Express -5*l - 5*l + 0*l + 3*l as u + v*l and give v. -7 Rearrange 5491 - 5491 - 166*k - 4*k + 2*k + k + (0 + 2 + 0)*(0*k + k - 2*k) + k + 2*k - 4*k to the form h + s*k and give h. 0 Express 13*d - 148*d**2 - 3*d + 145*d**2 as t*d**2 + z*d + v and give t. -3 Express 4 + 0 - 4 - 2 + 3*b**3 - b**4 + 3*b in the form x*b**3 + j*b**4 + k*b + d + z*b**2 and give d. -2 Express (2*u - 2*u + 2*u)*(355 - 30*u - 356 + u**2 + 13*u) in the form k + x*u**2 + t*u**3 + j*u and give j. -2 Rearrange (-9 - 4*w + 0*w + 2*w)*(3 - w - 3 + (-2 + 3 - 3)*(1 - 4*w - 1) + 2*w + w + 0*w) to the form h*w + u + c*w**2 and give c. -20 Express 0*h**3 - h + 2*h**3 + 2*h + 8 - 2 as r*h + v*h**2 + f + m*h**3 and give f. 6 Express (-1 + 0 + 8)*(-5*n - 453 + 453) in the form b*n + l and give b. -35 Express (-g + 2*g**2 + g)*(-1 - 2 + 1)*(84 + 6 - 21)*(-1 + 2 + 0) in the form p*g + y + b*g**2 and give b. -276 Rearrange -5*y - 9 + 2*y**2 - 10 + 20 to the form l*y + m + k*y**2 and give k. 2 Express -4 + 4 + 2*l + (l + 2 - 2)*(0 - 3 + 4) + 0*l + 4*l - 2*l + (5 + 10 - 9)*(-2*l + 4*l + 3*l) in the form n + o*l and give o. 35 Express -9*l**3 + 14*l**2 - 1 - 16*l**2 + 11*l**3 in the form c + o*l**2 + j*l + w*l**3 and give c. -1 Express 14*p**2 + 2*p**3 + 16*p**2 - 1 + 16*p - 30*p**2 as h*p**2 + s + q*p**3 + r*p and give s. -1 Express (3 + 4*x**3 - 4*x**3 - x**3)*(-5*x - 9 + 9) as h*x**3 + p*x + v*x**4 + b*x**2 + r and give v. 5 Express (-2*f + 0*f + f)*(6 - 3 - 1) + f - 9*f - 3*f as r*f + p and give r. -13 Rearrange -2*m + 6*m + 8*m - m to z*m + y and give y. 0 Rearrange (0 + 0 + 4*g)*(3 - 1 - 3)*(0*g - 4*g - 4*g) to l + r*g + u*g**2 and give u. 32 Rearrange (5*b**2 - 6 + 6)*((0 - 1 + 2)*(3*b - 3*b + 2*b) - 2*b - b + 4*b + 2*b + 4*b - 4*b) to t + i*b**2 + u*b + n*b**3 and give n. 25 Express -15*u**2 + 5*u**2 + 8*u**2 + 4*u + 9*u in the form h + f*u + c*u**2 and give f. 13 Express -d**3 + d**3 - d**2 - 2*d**3 in the form y + w*d**3 + k*d + l*d**2 and give y. 0 Express 9*k**2 - 18*k**2 - 12*k**2 in the form p*k**2 + r + x*k and give p. -21 Rearrange -12 + 3*g**2 - g**2 + 10 + 0*g**2 + 3*g**4 - g to the form t*g**3 + v + o*g**2 + w*g + h*g**4 and give h. 3 Rearrange -4*b - 4*b + 5*b + b to the form u + x*b and give x. -2 Express (2 + 0 + 2)*(-2 - 3*o**3 + o**3 - o**3) in the form w*o + i*o**2 + x + r*o**3 and give r. -12 Rearrange -m**2 + 2*m**2 - 10*m**3 + 7*m**3 to a*m**2 + p*m + o + y*m**3 and give a. 1 Express (0*v + 0*v + v)*(-3 + 1 + 1)*(-3*v - 3*v + 5*v) as n*v**2 + w + j*v and give n. 1 Express 16 - 2*z**2 + 0*z**2 - 2*z**2 + 2*z**2 in the form b + f*z**2 + d*z and give f. -2 Rearrange -7 + 5 - 2*v**4 + v**4 - 4*v to the form b*v**3 + m*v**2 + a*v**4 + y*v + g and give a. -1 Express (-7*p**2 + 4*p**2 + p**2)*(1 + 0 + 1) - 21 - 5*p**2 + 21 in the form h*p + w*p**2 + s and give w. -9 Express (-10 + 5 + 21)*(-5*b + 2*b + 2*b) + 1 - 1 - 2*b as f*b + c and give f. -18 Rearrange (-m + 3*m - m)*(-4*m + m + 5*m) + (m - m - 4*m)*(-3*m + m + 3*m) to y + p*m**2 + l*m and give p. -2 Rearrange (119 - 18*m**2 - 119)*(3 + 2 + 0) to the form o*m**2 + t + k*m and give o. -90 Express (0*a + 2*a - 4*a)*(0 + 1 + 0)*(4 + 16*a - 4*a - 13*a) in the form g*a + x + y*a**2 and give y. 2 Rearrange -2*x + 6 - 2 - 1 to q*x + s and give q. -2 Express -14*o**2 + 238 - 238 + 3*o**3 + o as w + p*o + z*o**2 + l*o**3 and give p. 1 Express (-2*n**2 + 0*n**2 + n**2)*(15*n - n + 18*n) + 4*n**2 + n**3 - 4*n**2 in the form o + s*n + u*n**2 + w*n**3 and give w. -31 Rearrange j**2 + 2*j - 15 - 2*j to l*j**2 + k + f*j and give k. -15 Rearrange -15 + 9*u**3 + 17*u**3 - 28*u**3 to t*u**2 + v + f*u + j*u**3 and give v. -15 Rearrange -4*a + 5 - 722*a**3 + a**2 + 4*a + 727*a**3 to z + n*a**2 + k*a**3 + o*a and give o. 0 Express -b**3 + 0*b - 5*b**2 + 2*b**3 + 7*b**2 - 2*b as f + j*b + w*b**2 + d*b**3 and give w. 2 Rearrange -9 + 9*b**2 + 9 + (b - b - b)*((-2 + 2 + 1)*(b + 2*b - b) - 5 + 5 - 11*b) to w + v*b**2 + g*b and give v. 18 Express 2*r**2 + 3 + 2 - 6 + r**3 + 35*r**4 as u*r**3 + i*r**2 + x*r + h + m*r**4 and give u. 1 Express -2*j**3 + 2*j**3 - j**4 + (-j**3 - 2*j**3 + 2*j**3)*(1 + j - 1) + 2*j**4 + j**4 - 10*j**4 as y + m*j**4 + n*j**2 + h*j + o*j**3 and give m. -9 Express 105*a**2 - 50*a**2 + 1 - 57*a**2 + a in the form d + u*a + m*a**2 and give u. 1 Rearrange -10 - 3*n**3 - 2*n**2 + 11 + 6*n**3 to the form k*n**3 + l*n + c + g*n**2 and give c. 1 Express 81 - 77 - 10*x + 3*x - 2 - 2*x + 2 + (1 - 3 + 3)*(-2*x + 2*x - x) as t*x + s and give s. 4 Rearrange (3*c + 2*c - 3*c)*(-4*c - 2*c - 3*c + (4 - 4 - 1)*(-4*c + 2*c + 0*c) - 3 + c + 3)*(3 - 2 + 1) to k + y*c + z*c**2 and give z. -24 Express -9 - 12 + 4 + 26*z - 27*z in the form u + o*z and give o. -1 Express 0*h**3 + h**2 - 2*h**3 - 2*h**3 - 4 - 8*h**4 + 9*h**4 as c*h**3 + p*h**2 + f + t*h**4 + u*h and give u. 0 Express -2*j + 0*j + 0*j + (-5*j + 3*j + 4*j)*(1 - 1 - 2) - 6*j + 3*j - j - 2 - 2*j + 2 + (2*j + 0*j - j)*(1 - 4 - 1) in the form n + l*j and give l. -16 Express (-5*y - 5*y - 11*y)*(1 - 2*y**2 - 1) in the form a*y**3 + h*y**2 + x + s*y and give a. 42 Express (1 + 0 + 0)*(4*f - 69 + 96*f + 69) in the form l + d*f and give d. 100 Rearrange -16*h + 0 + 18*h - 10 to r*h + o and give r. 2 Rearrange 37*y + y**4 - 39*y - 9*y**4 + (3 - 3 + 2*y)*(y**3 - 3*y + 3*y) to x + b*y + c*y**4 + l*y**3 + s*y**2 and give b. -2 Rearrange (0*r - 2*r + 4*r)*(-r**3 - r**3 + 0*r**3) + 264*r**4 - 3 - 265*r**4 + 6 to the form d*r + j*r**2 + s*r**4 + k + z*r**3 and give k. 3 Express -x**2 - 5*x - 2*x**3 + 7*x + x in the form i*x**2 + f + h*x**3 + j*x and give j. 3 Express -3624*r**4 - 2*r**2 - r**3 - 2*r - 4*r + 3625*r**4 + 2 as g*r**2 + f + d*r + z*r**3 + a*r**4 and give z. -1 Express 6 + 8*v**4 - 6 + (3*v + 2 - 2)*(2*v**3 + 5*v**2 - 5*v**2) + (1 + 0 + 0)*(v**4 + 3 - 3) as t*v + n + z*v**2 + i*v**4 + h*v**3 and give i. 15 Rearrange -3*q**3 - 3*q**4 - q**3 - 5*q**2 - q + 4*q**3 + q**3 to y + p*q**3 + l*q + j*q**4 + t*q**2 and give y. 0 Rearrange -31*a**3 + 2*a + 21*a**3 - a to d + v*a + i*a**3 + w*a**2 and give d. 0 Rearrange 0*o**2 - 1 + 8*o + 0*o**2 - 8*o**2 + 14*o**2 to the form f*o + r*o**2 + g and give f. 8 Express 8*o**2 + 5 + 3 - 7*o**2 + o**3 - 3*o**3 as s + r*o + y*o**2 + v*o**3 and give v. -2 Express (-x - 2 + 2)*(-404*x + 399*x - 6*x**2 + 2*x**2) in the form s*x**3 + w + g*x + d*x**2 and give s. 4 Express (-3*l + 2*l + 3*l)*(-3 - l + 3)*(6*l - 3*l + 4*l) + (-l + 3*l - l)*(2*l**2 + 3*l**2 - 6*l**2) in the form v*l**3 + w*l**2 + z + d*l and give v. -15 Rearrange (z - z + 2*z**2)*(4 - 3 + 4)*(3 + 4 - 5) to i + x*z**2 + u*z and give x. 20 Rearrange -1 + 3 + q**2 - 3 + 3 to o*q + i*q**2 + t and give t. 2 Express 21 - 31*i - 21 as d + l*i and give l. -31 Rearrange 2*b**3 - 159 + 3*b**4 + 3*b - b**2 + 0*b**4 + 158 to the form h*b**3 + q + v*b**4 + m*b + y*b**2 and give y. -1 Express -2*n**3 + 9*n + 4*n**2 + 0*n**3 - n**4 - n**2 - 18*n in the form p*n**3 + f + l*n**4 + m*n + x*n**2 and give l. -1 Express -2*q**2 - 2*q**2 - 3*q**2 - 18 + 9*q**2 as a*q**2 + k*q + z and give a. 2 Rearrange 85*r - 2 - 87*r - 3*r**2 - 4*r**2 to the f
{ "pile_set_name": "DM Mathematics" }
at are the prime factors of q(-4)? 257 Let f(v) = 27*v**2 - 3*v - 2. Let g be f(2). What are the prime factors of (g/7)/((-4)/(-14))? 2, 5 Suppose 2*w + 51 = -3*x, 29 + 0 = -2*x - 3*w. Let p = x + 23. Suppose -2*k + 2*y = -2, 0 = -k - 6*y + p*y + 13. List the prime factors of k. 5 Let f be 1/(-2) - (-63)/6. What are the prime factors of (-438)/(-10) + 2/f? 2, 11 Let o(x) = 25*x - 85. What are the prime factors of o(10)? 3, 5, 11 Let z be ((-1)/1)/((-6)/(-18)). Let r be -25*(z - (1 - 0)). Suppose 5*c = 3*t - 7*t + r, 100 = 4*t - 3*c. What are the prime factors of t? 5 What are the prime factors of ((-50)/(-75))/((-2)/(-6)) - -977? 11, 89 Let w = -20 - -78. Suppose -2*n = -w - 102. What are the prime factors of n? 2, 5 Suppose 0 = -46*n + 44*n + 822. What are the prime factors of n? 3, 137 Let c be 156 + (1 - 1) + 5 + -4. Let j = c + -19. List the prime factors of j. 2, 3, 23 Suppose 5 - 2 = a. Let r(x) = -3*x - 2. Let k be r(-1). Suppose 0 = a*h - 71 - k. List the prime factors of h. 2, 3 Let s = 593 + -266. List the prime factors of s. 3, 109 Suppose 0 = l - 0*l - u, 0 = -2*u - 2. Let p be (l/(-2))/(3/54). Suppose 5*r = 5*n - 70, 0 = -3*n + 4*r - p + 54. List the prime factors of n. 11 Let k(t) = -52*t**3 + 2*t**2 + 5*t + 4. What are the prime factors of k(-2)? 2, 11, 19 Let f(c) = -c**2 - 8*c + 4. Let a be f(-13). Let t(z) = z**3 + 4*z**2 + 8*z - 5. Let p be t(-6). Let g = a - p. What are the prime factors of g? 2 Let y = 610 - 248. Let j = -222 + y. What are the prime factors of j? 2, 5, 7 Suppose -3*g - 2*g = -3*n - 8, 0 = 4*g - 4*n. Suppose -3*h - 5*a = 3, a - 9 = g*a. Suppose 2*j = -h + 68. What are the prime factors of j? 2 What are the prime factors of 234*-21*(-3)/9? 2, 3, 7, 13 Let p = -181 + 990. What are the prime factors of p? 809 Let i(t) = 3*t**2 - 4*t**2 + 2 + 11 - 5 - 21*t. What are the prime factors of i(-6)? 2, 7 Let w(r) = -89*r + 130. What are the prime factors of w(-10)? 2, 3, 5, 17 Let k(z) = -z - 6. Let i be k(-6). Suppose -2*m + i*m = -54. Suppose -2*n + m = -n. What are the prime factors of n? 3 Let g = -320 + 611. List the prime factors of g. 3, 97 Let t(u) be the second derivative of -u**5/10 - 17*u**4/6 - 2*u**3/3 - 3*u**2 + 40*u. What are the prime factors of t(-17)? 2, 31 Let b be 1*(-1156)/8*-2. Suppose g - 74 = 5*d, 2*g + d - b = -86. List the prime factors of g. 3, 11 Let s be (4/(-10))/((-2)/10). Suppose d = 1, -5*d = s*g - g - 7. Suppose g*b = -27 + 61. What are the prime factors of b? 17 Suppose h - 5*h = 0. Let t be (-6)/27 - 1180/(-45). Suppose -v = v - 3*a - t, -v + 4*a + 18 = h. What are the prime factors of v? 2, 5 Let u = 13 - 17. Suppose 8 = 2*i, -3*s + i + 8 + 18 = 0. Let o = u + s. List the prime factors of o. 2, 3 Let y = -63 + -23. Suppose 0 = 4*a - 4*u - 516, -31 + 527 = 4*a + u. Let h = y + a. What are the prime factors of h? 3, 13 Let f = 57 + -54. Let z(o) be the third derivative of o**5/60 - o**4/12 + o**3/2 + o**2. List the prime factors of z(f). 2, 3 Suppose 412 = 12*q - 368. Suppose 0*t + 20 = 5*t. What are the prime factors of ((-416)/q)/(t/(-10))? 2 Let i = -165 - -687. Suppose -2*v + i = v - 5*g, 0 = v - 3*g - 178. What are the prime factors of v? 13 Suppose 2985 = 2*m + 3*m. Suppose s = 3*l - m, 0 = 4*s - 7*s - 9. List the prime factors of l. 2, 3, 11 Let n(h) = 8*h. Let z be n(6). Suppose 2*t - z = 6*t. Let a(s) = -7*s - 13. List the prime factors of a(t). 71 Suppose -5*w - 3*y + 11514 = 0, -5*w + 17*y + 11496 = 14*y. List the prime factors of w. 3, 13, 59 Let o = -306 + 552. What are the prime factors of o? 2, 3, 41 Let u(i) = -169*i - 1. Let j(c) = -85*c. Let o(r) = -5*j(r) + 3*u(r). What are the prime factors of o(-1)? 79 Suppose -4*g - 54 = 26. Let h = g + 55. What are the prime factors of 208/14 + 5/h? 3, 5 Suppose 0 = 2*v + v - 210. Let k = 122 - v. What are the prime factors of k? 2, 13 Suppose -19*c + 4284 = 2*c. List the prime factors of c. 2, 3, 17 Let b(q) = 2*q**2 + 42*q - 7. List the prime factors of b(-48). 5, 11, 47 Let c be 9/(-11) - (-10)/(-55). Let u = c - -4. List the prime factors of 10*(u - (-11)/(-5)). 2 Let o be (-1 + 19)*(-4)/6. Let c be (o/1)/(-3) + 1. Suppose a - 139 = -4*m, c*a + 1 = -24. List the prime factors of m. 2, 3 Let i(n) = -n - 133. Let t be i(0). Let p = t - -266. List the prime factors of p. 7, 19 Suppose -22*t + 52*t - 49140 = 0. List the prime factors of t. 2, 3, 7, 13 Let r(s) = s**3 - 10*s**2 + 9*s + 1. Let o be r(9). Let b(t) = t - 23. Let l be b(26). List the prime factors of (368/24)/(o/l). 2, 23 Let v be (4 - (6 + -3))*0. Suppose v = 4*a - 5*w - 366, -5*a - 3*w + 437 = w. List the prime factors of a. 89 Suppose 20 - 8 = -3*s, -h - 15 = s. Let b be 45/(-2) + h/(-22). Let k = -6 - b. List the prime factors of k. 2 Suppose -2*p - 261 = p. Let d = -54 - p. List the prime factors of d. 3, 11 Suppose 0 = -4*d - 0*d + 128. List the prime factors of (-4)/(d/660)*2/(-3). 5, 11 What are the prime factors of (-18254)/(-10) + (-24)/(-80)*2? 2, 11, 83 Let a(j) = -j**3 + 30*j**2 + 39*j - 48. What are the prime factors of a(31)? 2, 5 Let z(k) = 92*k**2 + 103*k - 7. What are the prime factors of z(-6)? 2687 List the prime factors of (-3 - -24)/((-63)/(-9723)). 7, 463 Let g(r) = 3*r + 4. Let j(a) = 4*a + 4. Let v(b) = -3*g(b) + 2*j(b). Let o be v(0). List the prime factors of 3/(-6)*19*o. 2, 19 Suppose -5*r - f = f + 385, -r - 2*f - 77 = 0. What are the prime factors of 2*-1 + (4 - r)? 79 Let x be ((-5)/3 - (-14)/21)*8. List the prime factors of x/52 - (-966)/26. 37 Let p be (-2)/(-2) - 2/(-2). Let l = -26 - -44. Suppose -p*c - c = -l. What are the prime factors of c? 2, 3 Let c be (1 - 0)/(11/44). Let v be -4*((-13)/c + 3). Let z = 18 + v. What are the prime factors of z? 19 Let b = 1 - 2. List the prime factors of (b - -6)*(-1364)/(-55). 2, 31 Let h be (4 + -3)*(259 + -3 + 1). Let v = h + -154. What are the prime factors of v? 103 Let f(i) = -i**3 + 4*i**2 + 5. Let x be f(4). Let l(b) = -b**2 + 6*b - 3. Let w be l(x). Suppose -u + 43 - w = 0. List the prime factors of u. 41 Let m(o) = -o**2 + 12. Let d be m(-3). Suppose d*z + 7 = 1, 5*w = 5*z + 105. What are the prime factors of w? 19 Let c = 254 - -889. What are the prime factors of c? 3, 127 Let h(l) = l. Suppose 76 = 5*u - 0*a + 4*a, a - 31 = -2*u. Suppose 0 = 4*o - 0*o - u. List the prime factors of h(o). 2 Let w = 86 + -168. Let k = w + 141. What are the prime factors of k? 59 Let k(q) = 3*q + 5. Let g be k(6). Suppose -g*c - 235 = -28*c. What are the prime factors of c? 47 Let w = -39 + 40. What are the prime factors of -1 + -2 + w + 88? 2, 43 Let v = 849 + -564. List the prime factors of v. 3, 5, 19 Let u(r) = -3*r - 21. Let p be u(0). List the prime factors of (p/(-18))/((-2)/(-12)). 7 Let h = -142 + 167. Suppose 36*u = h*u + 2761. List the prime factors of u. 251 Let x = -34 - -44. Suppose 30 = x*g - 4*g. Suppose -192 = -4*p + r, p - 6*p + 225 = -g*r. What are the prime factors of p? 7 Let j(h) = 6*h**3 + 23*h**2 - 12*h + 2. List the prime factors of j(6). 2, 13, 79 Let i(p) = p**2 + 9*p - 14. Let r be i(-11). Suppose -r*f - 575 + 1503 = 0. List the prime factors of f. 2, 29 Let x be ((9 - 8)*(0 - 1))/1. List the prime factors of (1 + 12/4)/(x/(-48)). 2, 3 Let v = -146 - -87. Let g = 45 - v. What are the prime factors of g? 2, 13 Let h(b) = -b**2 + 1. Let d(y) = 7*y**2 + 5*y - 31. Let s(v) = d(v) + 6*h(v). List the prime factors of s(9). 101 Let l be (2 + 10/(-6))/((-4)/(-84)). Let x(q) be the third derivative of -q**4/24 + 17*q**3/6 - q**2. List the prime factors of x(l). 2, 5 Let m = 94 + 1332. What are the prime factors of m? 2, 23, 31 Let u be 108/(-8)*8/6. What are the prime factors of u/(-4)*-1*(-48)/6? 2, 3 Let l(h) = 250*h + 32. List the prime factors of l(3). 2, 17, 23 Let b(p) = 314*p**2 - 19*p + 3. What are the prime factors of b(2)? 3, 11, 37 What are the prime factors of (-37156)/(-42) - 5/(-15)? 3, 5, 59 List the prime factors of 4/(-36) + (-2487)/(-27). 2, 23 Let b = 18 + -18. Suppose 3*n - 2*x - 24 = 0, n + 5*x = -9 - b. What are the prime factors of n? 2, 3 Let l(r) = 141*r**2 + 3*r + 2. Let w be l(-1). List the prime factors of w/7*30/4. 2, 3, 5 Suppose -3*g - g - 821 = -3*b, 0 = -5*b + 4*g + 1363. What are the prime factors of b? 271 Let c = 139 - 138. Suppose 3*q - 4*x
{ "pile_set_name": "DM Mathematics" }
c be z(7). Solve -1 = -2*p - c for p. -5 Suppose 25*m - 15*m = -13*m. Suppose p + m*p = 3*p. Solve -15 = -p*t + 5*t for t. -3 Let f(h) = 7*h**2 + 18*h - 6. Let y = 54 + -60. Let u be f(y). Let i = 143 - u. Solve 0 = b - 0*b - i for b. 5 Let p = 2027 + -1978. Solve -43*q + p*q - 18 = 0 for q. 3 Suppose -3*i - 5 = 19. Let x = -4 - i. Suppose -x*c = 2*n - 10 - 4, 0 = c - 4*n + 1. Solve c*a + 15 = -2*a for a. -3 Let h = -58 - -54. Let v be 1 + 91/3 + h/(-6). Let c = v + -23. Solve c = 4*i - 11 for i. 5 Suppose -12*l + 6*l = 84. Let d be -2 - 7/l*10. Solve 3*h + d*h = 24 for h. 4 Let s(g) = -3*g**2 + 47*g + 74. Let p be s(17). Suppose 18 = 5*w - p*w + 5*z, -4*z = -2*w - 12. Solve 2 - 10 = w*n for n. -4 Let q(r) = 892*r + 7290. Let h be q(-8). Solve 16*u + h = 38*u for u. 7 Let d(v) = 122*v**2 - 596*v - 7. Let k be d(5). Solve k*o = 54*o - 18 for o. -2 Let j(y) = 3*y**3 - 4*y**2 - 8*y - 6. Let h(v) = -v**3 + 2*v**2 + 4*v + 3. Let c(u) = -15*h(u) - 6*j(u). Let o be c(-3). Solve -44 = -2*n - o for n. -5 Let j(d) = 4*d**2 + 2*d - 5. Let l be j(2). Suppose 5*s = -c + l, c + 21 = -0*s + 4*s. Solve 4*m + 0 + s = 0 for m. -1 Suppose -27024 = -21*u + 13344 - 2610. Solve 0 = 13*l + u - 1824 for l. 2 Let g(b) = b**2 - 7*b. Let m be g(3). Let t be (m/10)/((-39)/30 - -1). Solve -r = t*r for r. 0 Suppose 346 = 6*z - 1142. Let t = 249 - z. Solve -2*r + t = -5 for r. 3 Suppose 3*g + 3*k - 14 - 31 = 0, -2*k - 3 = -g. Let m = g + -7. Solve -4*n - 4 = m for n. -2 Let n be (-1464)/(-92) - 26/(-299). Solve -16 = 4*l + n for l. -8 Let z be 20/(6/(-21)*1). Let x = 859 - 779. Let d = x + z. Solve -d + 2 = 2*b for b. -4 Let c be 8/(-12)*(-84)/8. Suppose -6*v + 25 - c = 0. Suppose p - 17 = -2*d + 27, -4*d + 3*p + 68 = 0. Solve -v*f - d = f for f. -5 Let g(l) = l**3 + 25*l**2 - 29*l - 52. Let t be g(-26). Solve -260 = -78*r + t*r for r. 5 Let a = -2868 + 2896. Solve h - a + 23 = 0 for h. 5 Suppose 160*i = 156*i - 588. Let y = i - -157. Suppose 3*h + h - w - 9 = 0, -3*h - w + 5 = 0. Solve 0*m = -h*m + y for m. 5 Let d(k) = -k**3 + 9*k**2 - 3*k - 3. Let x be d(12). Let v = x + 494. Solve 21*r - v*r = -10 for r. 5 Let x(h) be the third derivative of h**6/120 - 11*h**5/60 - 11*h**4/24 - 5*h**3/3 + 18*h**2. Let g be x(12). Solve s = -2 - g for s. -4 Let g(j) = 2*j - 26. Let b(p) = 2*p - 25. Let m be -10*((-9)/30)/(3/6). Let q(c) = m*b(c) - 5*g(c). Let f be q(12). Solve -h = -f*h - 9 for h. -3 Let c be 0*(88/(-16) + 4 + 1). Solve c = -p - 146 + 149 for p. 3 Suppose 28 = -54*p + 55*p. Let n be (-1)/2*(-27 - -26)*p. Solve n = 7*w - 7 for w. 3 Let b be (-5)/15*(-8 + -1). Let g(i) = -352*i**3 + 2*i**2 - 6*i + 4. Let a be g(1). Let h = -352 - a. Solve h = b*x + 2*x + 20 for x. -4 Let i(l) = -l + 31. Let g be i(10). Suppose -9*s + g = 3. Suppose -18 = -3*j + 4*u - 1, -4*u - 23 = -5*j. Solve 0 = s*h + 7 - j for h. -2 Let w = 10 + -6. Suppose 3*b + 0*b - 261 = -4*n, -4*n + 249 = -b. Let v = n + -51. Solve v = -z + w*z for z. 4 Suppose -12*t - 3 = -13*t. Suppose -10 = -t*s + 5. Suppose -b + 20 = -s*g, -b - 2*g = 4*b - 19. Solve -2 = 3*o - b for o. 1 Let n(g) = -18*g**2 - 74*g - 8. Let r be n(-4). Let t = -41 - -44. Solve 0 = -t*d - r*d for d. 0 Let b = 11 + -6. Suppose 2*u + 28 = b*v, v - 3*u = 6*v - 33. Suppose -d + 1 = 3*i - v*d, 0 = i - 2*d. Solve 0 = -5*g + 3 + i for g. 1 Suppose 10*u - 334 = 13*u + 2*v, 5*u = -3*v - 558. Let r be 2*u/(-12) + 2/2. Solve -18*x + 14*x = r for x. -5 Suppose 2*u + 23 = 27*d - 32*d, 3*u = 2*d + 13. Let x(p) = -p**2 + 7*p - 4. Let h be x(5). Solve h = -k + u for k. -5 Let y = 14 - 11. Let p(b) = -b**2 + 18*b - 58. Let i be p(13). Solve i*x - y*x - 16 = 0 for x. 4 Let d = -15 - -122. Suppose 0 = -d*s + 105*s + 24. Solve s*p + 15 = 15*p for p. 5 Let g = 553 - 550. Suppose 5*b - g*s = 124, -5*b + s + 95 = -b. Solve b = -3*o + 11 for o. -4 Let s be (-404)/28 - (-15)/35. Let j be (1 - 2) + (-2)/s*7. Let d(p) = p**2 - p + 4. Let o be d(j). Solve 4*m + 8 = -o for m. -3 Suppose -2*k + 532 = 4*g, -167*g + k - 134 = -168*g. Solve 18*t - g = 84*t for t. -2 Suppose 2*n + 2*n = h - 89, -2*h = -3*n - 63. Let d = -21 - n. Suppose -20 = -d*s - 2*b, -s - 20 = -4*b - b. Solve 0 = k - s + 3 for k. 2 Let z = -469 + 476. Suppose -10*s = -17*s + z. Solve -6*p + 7*p + s = 0 for p. -1 Let o = -134515 + 134522. Suppose 0*q - q = 0. Solve c - 4 + o = q for c. -3 Suppose p + 1 - 15 = 0. Let i = 165 - 148. Suppose -4*s - i = -33. Solve -s*l - 2 = p for l. -4 Suppose 17*t = -8034 + 8187. Solve -3*w + t*w = 0 for w. 0 Suppose -r = -3*d + 1 + 4, 4*d + 2*r - 20 = 0. Suppose 5*y - c - 29 = 0, 4*c = -d*y + 5*c + 17. Solve y*g = 4*g for g. 0 Let v(o) = o**3 - 6*o**2 - 7*o + 7. Let f be v(7). Let m = f + -6. Let g = -3417 + 3420. Solve g*w + m + 5 = 0 for w. -2 Let u = 186 - 320. Let k = 136 + u. Solve -3 = k*b - 5 for b. 1 Suppose 5*n = 4*j + 294, 320*n + 4*j - 30 = 319*n. Solve 33*i - n - 12 = 0 for i. 2 Suppose -2 = -5*a + 3. Suppose 20*b = 8*b + 96. Solve -7*c + a = -b*c for c. -1 Let u(s) be the third derivative of -s**6/120 + 11*s**5/60 - s**4/24 - 7*s**3/2 - 17*s**2. Let q be u(11). Let h = q + 36. Solve -z + 5 = h*z for z. 1 Let a = 195 + -171. Let w be 2/6 + ((-968)/a)/(-11). Solve h + w = -0 for h. -4 Let k(w) = 3*w**3 - 23*w**2 - 5*w + 9. Let f be k(8). Solve 0 = f*t - 38*t for t. 0 Let w(t) = 437*t + 3507. Let c be w(-8). Suppose -4*y = -3*h + 24, 13 = h + 5*y - 8*y. Solve c = 3*p - h for p. 5 Suppose 33*a - 3*a = 0. Let s be (-48)/18*(-18)/(-8). Let u be (-2 - s)/(0 - -2). Solve 4*y - u*y = a for y. 0 Suppose 2*g + 22*v - 24 = 26*v, 4*g = v + 34. Solve -923*w - g = -931*w for w. 1 Let a = -2346 + 2368. Solve a*o - 9 = 101 for o. 5 Let w = 14590 - 14565. Solve 153 - 28 = -w*f for f. -5 Suppose -4*b + r + 30 = b, b + 5 = -2*r. Suppose 16*i = 25*i - 72. Suppose -4*z + 3*w + 10 = 2*w, -w + i = 5*z. Solve l = z*l - b for l. 5 Suppose -678*f = 3*s - 683*f - 36, 5*f = 0. Solve -25*g + s = -19*g for g. 2 Let w(v) = v**2 - 10*v - 259. Let q be w(22). Suppose -28*k + 23*k = 4*f - 21, 51 = q*f - 2*k. Solve -12 - 15 = -f*a for a. 3 Suppose -3*a + 6 = 0, -86*a - 39 = -t - 82*a. Solve t*x = 51*x - 12 for x. 3 Let v(j) be the first derivative of -3*j**2/2 - 29*j + 58. Let d be v(-11). Suppose -2*w + 10 = 4. Solve 0 = -w*s + d*s - 2 for s. 2 Suppose j + 3*j = -96. Let o(k) = -5*k - 66. Let n(b) = 4*b + 51. Let q(m) = 6*n(m) + 5*o(m). Let w be q(j). Solve w = -2*t - 0 - 6 for t. -3 Let s be (-2*(-3)/(-6))/(8/(-24)). Suppose 10 = -3*n - 145*q + 149*q, 0 = -2*n + 3*q - 8. Solve n = s*m + 14 for m. -4 Let g be (0 - 0)*1/3 + 2. Let c be (g*(14 - 5))/1. Solve -25 = 13*w - c*w for w. 5 Let q be -2 - -2 - (-127 + 89). Solve q - 45 = -m for m. 7 Let l = -791 + 462. Let p = l - -349. Solve p = r + 16 for r. 4 Let y be 324/2 - 30*24/(-120). Solve 32*o - y = 11*o for o. 8 Let t = 2057 + -2020. Solve 0 = -12*d - 1 + t for d. 3 Let g be ((9/5)/3)/(4713/2355 + -2). Solve p - g = -473 for p. -2 Let j = 1306 - 1270. Solve 62*n - j = 44*n for n. 2 Let h be ((-6)/4)/(12/(-24)). Let d(c) = c + 27. Let k be d(-8). Suppose 4*m = -k + 23. Solve h*a = 8 + m for a. 3 Suppose -2*d + 16*d - 2170 = 0. Suppose 9*k - d = -22*k. Solve 2*j = k*j + 6 for j. -2 Let r(v) = -v**3 + 13*v**2 + 17*v - 45. Let t be r(14). Let i be (t/(-4))/(45/(-30))*-8. Solve i*d - 5 = 5*d for d. -5 Let f(p) = 0*p + p**2 + 3 - 5 - p + 6. Let n be f(3). Suppose 8*q = 10*q - n. Solve -2*t = 3*t + q for t. -1 Let b(u) = -u**3 - 14*u**2 + 16*u + 35. Let l be b(-15). Suppose l*r = 22*r - 8. Suppose 0 = p - r - 6. Solve 0 = -t - t + p for t. 5 Let v = -69 + 38. Suppose 17 + 104 = 4*u + 5*n, 145 = 4*u - 3*n. Let w = v + u. Solve k - w = 4*k for k. -1 Let b be (-225)/25 - (-35 + 17). Suppose -h = 3*h. Suppose h = i - 3*i. Solve o + 2*o + b = i for o. -3 Let r = -63 - -59. Let p be 0 + ((-32)/r)/2. Let g(j) = j**3 + 6*j**2 + 4*j + 2. Let f be g(-5). Solve 0 = -p*y + f - 3 for y. 1 Let v = 6 + -1. Let p(q) = 55*q**2 + 11*q + 4. Let g be p(-4). Let m be 2/13 + g/455. Solve -m*n = -v*n for n. 0 Suppose -4*r = -26 + 6, -4*i = -4*r - 1748. Suppose -2*h - 430 + i = 0. Solve 0 = 5*y - h - 9 for y. 3 Suppose 2 - 22 = -5*s, x + s = 73. Suppose -5*t = 2*g - 259 + x, 3*g - 185 = -5*t. Solve 9*h - 5 = t for h. 5 Let y = -2918 - -2942. Solve 3*h = 11*h + y for h. -3 L
{ "pile_set_name": "DM Mathematics" }
2*u + u - 2*v. Solve t*o - 2*y - 31 = 5*o, 0 = o + 4*y + u for o. -5 Let w(u) be the second derivative of u**3/6 - 2*u**2 - 28*u. Let x be 1 + 6/2 + 2. Let y be w(x). Solve -3*g - y = -2*z - 0*g, 0 = -3*g for z. 1 Suppose 55 = 21*v + 13. Let w be 1*v/(-8)*-20. Solve 3*d + 10 = -w*k, -4*d + 0 = -5*k - 45 for k. -5 Let t(x) be the second derivative of -x**4/12 + 5*x**3/3 - 2*x**2 + 24*x. Let g be t(9). Solve -2*c + g*f + 4 = 0, -c - 3*f + 6 = 2*c for c. 2 Let b be 6*((-2)/3 - -2). Suppose 76 = -4*v - 2*l, 4*v = -0*l - 4*l - 72. Let t be (4/(-5))/(b/v). Solve k = 3*r - t, 3*k + 2 = 4*r + 1 for k. 1 Suppose -2*z - b = -2*b - 14, z = b + 9. Solve 2*k = -z*y, 8 = -y + k + 1 for y. -2 Let o be (-2)/3 + (-28)/(-6). Solve d - o = 0, 4*d + 12 = -4*a + 5*d for a. -2 Let g(h) = -h + 1. Suppose 24*c - 2 = 25*c. Let o be g(c). Solve 3*v = 3*z - 0*z - 18, -o*v = 4*z + 4 for v. -4 Let v be (2/2)/((-44)/(-220)). Solve 5*f - 7 = 2*q, -q + 23 = v*f + q for f. 3 Let x be ((-1)/(-3))/((-20)/24 - -1). Solve 0 = 3*u - 5*q - 26, -5*u + x*q = 4*q - 2 for u. 2 Let n(a) = -6*a - 7*a**2 + 18*a**2 - 2 - 12*a**2. Let f be n(-5). Solve -5*l = -f*g - 12, 4*g + l = -4*l - 16 for g. -4 Let d be 3*(-2 - 48/(-9)). Let z be (-1)/(2/(-10))*2/d. Solve o - 2*b = z, -4*b - 4 = -0*b for o. -1 Let s(b) = -b**2 - 21*b + 102. Let i be s(-25). Solve 3*h - 20 = -5*q, -2*h = 2*h - i*q + 8 for h. 0 Suppose -6*l - 36 = -2*l. Let n be -1 - (-12)/l*-3. Let a = 15 + -13. Solve 4*z - a*z + 5 = 5*g, -3*g - 18 = n*z for g. -1 Suppose 0*a + 105 = 3*b + 5*a, 0 = b - 2*a - 24. Suppose 0 = 24*j - 19*j + 5. Let c be (1/1*j)/(23/(-46)). Solve -b = 5*v - 5*h, c*v - 5*h + 18 = -h for v. -3 Suppose 0 = -4*x + 5*j + 22, 6*x - x - 3*j = 21. Solve -5*t = -2*w - 21, -6*t + x*t + w + 12 = 0 for t. 3 Let v = 38 + -1. Let g = v - -4. Suppose -u + g = 2*z, -3*z + 3*u + 34 = -23. Solve -3*d = -o - 17, -d - z = 5*o - 3*d for o. -2 Suppose y = -3*a + 7, -19*y + 23*y - 12 = -4*a. Solve -4*q + 0 = 2*h + a, -5*h - 4*q = 17 for h. -5 Let i be (-4)/1 + 3 + 4. Suppose 1 = i*d - 14. Solve -r - 5 = d*q, 2*q + 19 = -5*r - 6 for r. -5 Suppose -1 = -l + 4*j, 4*l - 6 = -3*j - 2. Suppose -l - 4 = -f. Solve -3*x - 1 = c, 5*x - 4*x = f*c + 21 for c. -4 Suppose -6*t = -19 - 5. Suppose 0*k + t = k. Solve 0 = k*u - 4*r - 28, 27 = 5*u - 4*r + r for u. 3 Let f(p) = p**3 + 6*p**2 - 6*p + 7. Let v be f(-7). Suppose 3*t - 93 = -v*t. Let x be t + (-1 + 1 - 3). Solve -q - 2*y + x = 3*y, 5*q + 4*y - 35 = 0 for q. 3 Suppose -5*x - 3 = -23. Let r(w) be the first derivative of w**3/3 - 9*w**2/2 + 22*w - 17. Let n be r(5). Solve -3*i + 20 = x*j, 14 = n*j + 3*i - 2 for j. 2 Suppose 6*h + 180 = 24*h. Let i be (7 + -5)*25/h. Solve -i*t = f - 3*f + 4, 3*t + 2*f = -12 for t. -2 Let r(h) = -h + 68. Let l be r(21). Suppose 8*a + 15 - l = 0. Solve 5*y - 1 = -a*u, u - 10 = -5*y + 6*u for y. 1 Suppose -5*n = -2*y - 3*y + 85, -3*n - 37 = -2*y. Suppose 5*l + 4 - y = 0. Solve -5*w = 20, -7*w + l*w = 5*z + 25 for z. -1 Suppose 8 = 4*y - 3*y - t, 2*y - 21 = 3*t. Solve -2*l - 5*z = 25, 4*l + 25 = y*l - 5*z for l. 0 Let x(r) = r**3 + 2*r**2 + 13. Let n be x(0). Let d = -12 + n. Solve -9 + d = -4*q + 2*f, 0 = 4*q - 4*f - 8 for q. 2 Let g(f) = -5*f. Let m be g(0). Solve 12 = q + b + b, 4*q + 5*b - 36 = m for q. 4 Suppose 5*k + 4*u = 0, 5*k = 3*u - u. Solve l + 0*c = -4*c - 3, k = -4*l - 4*c + 12 for l. 5 Let p be 140/35 + (-1 + 3)*-1. Solve p*q + 0*q + 4*f - 26 = 0, 0 = f - 4 for q. 5 Let s = 284 + -164. Suppose -2*n + s = 116. Let z be (1 - (-10 - 1)) + -1. Solve 2*a - 3*g + 11 = 3*a, -n*a + 5*g = z for a. 2 Let h = 29 - -27. Let r = h + -56. Solve 3*v - 5 = p, 5 = -r*p - p for v. 0 Let d be (-3*(3 - 2))/(-1). Suppose -2*k = -d*k + 5. Let i(v) = -v**3 + 8*v**2 - 7*v + 5. Let j be i(7). Solve -c + 3*f = 16, k*c + 6*f = j*f for c. -1 Let o = -3 - -7. Suppose 4*l = 8, 33*l + 6 = n + 35*l. Solve -4*a = -o*d + 16, -4*a - 19 = -3*d + n*d for a. -5 Let p(a) = a**2 - 8*a - 6. Let j be p(-2). Solve 2*k = q + 3*q - 2, 3*k + j = -5*q for k. -3 Suppose 3*h = -4*y + 224, -h - 2*y + 5*y = -79. Let v be ((-19)/h)/((-2)/16). Solve 2 = v*t - 0*t, -2*t = -5*z + 18 for z. 4 Let n(w) = -w**3 + 7*w**2 - 55*w + 227. Let u be n(5). Solve o = -r + u, o - 4 + 8 = r for r. 3 Let o(z) = -z**3 + 2 + 6*z**2 - 2*z**2 + 0*z**2. Let l be o(4). Suppose -l*j = u - 6, j - 4*u - 36 = -3*j. Solve 4*y = j*m + 36, -2*m = m + 4*y - 4 for m. -4 Let s = 25 - 6. Suppose 2*d - s = -5*y, 0*d = 2*d - 3*y + 5. Solve -d*h - 3*h = f - 8, 2*h = 5*f - 13 for h. 1 Let l be (-697)/(-68) + 1/(-4). Suppose 9*q - l*q = -3. Solve -5 - 6 = 2*m + q*k, 2 = 4*m - 2*k for m. -1 Suppose -5*s = -3*g + 84, -17*s + 19*s - 112 = -4*g. Solve -21*j = 4*h - 25*j - g, -5*j - 11 = h for h. 4 Let f(y) = 9*y + 5. Let i be f(-4). Let x = 33 + i. Solve -6*s + 5*g = -s + 30, x = 2*g for s. -5 Let g = -2430 - -2432. Solve -3*d - p - 6 = 0, -5 = g*d - p + 2*p for d. -1 Suppose v - a - 4 = 8, -a + 28 = 3*v. Solve -7*s + 3*s - 4 = 0, 2*s + v = 2*p for p. 4 Let h(m) = -47*m + 282. Let y be h(6). Solve -5*u - 5*j - 5 = y, -2*u - j + 1 = 3 for u. -1 Suppose 0 = -1723*p + 1718*p + 15. Solve -4*f + 17 = -k, -3*f - f + p*k = -27 for f. 3 Suppose 4*i + 38 = 2*w, -3*w - 13 = 2*i - 2*w. Let h(x) = 2*x**2 + 14*x - 14. Let k be h(i). Solve 3*q = -4*t - 19, -4*t - k*q + 3*q = 15 for t. -4 Let u = -30 + 30. Suppose u = -4*y + 2*y + 44. Solve -3*m - 5*h - y = 0, m + 9 = -4*h + 2*h for m. 1 Let r(q) = -q**2 - 4*q + 5. Let m be r(-4). Suppose -m = -4*w + 2*k + 9, 0 = -w - 3*k. Solve -9 = -4*v - w*l, -4*v + 5*l + 17 = -0*l for v. 3 Let z = 30 + -45. Let j be 28 - (-5)/(z/9). Suppose 4*l = -l + j. Solve 5*k - 19 = -4*r, 10 = -2*r - k + l*k for r. 1 Let l be 3 + 2 + 25/1. Let v be 2*2*15/l. Solve -k + v*q = -1, 21 = -5*k - 2*q + 2 for k. -3 Let m(y) = -y**3 + 6*y**2 - y + 8. Let x be (1/2)/(2/24). Let i be m(x). Let v = -1199 - -1199. Solve 0 = -q - 4*j - 4 - 7, v = -i*q + 2*j + 8 for q. 1 Let a(j) = 3*j - j - j + 10. Suppose 12*n - 9*n - 19 = 2*u, 4*n + 8 = -4*u. Let i be a(u). Solve 12 = -i*f + 3*d, 0 = 3*f - 3*d + 8 - 2 for f. -3 Suppose 5*c = -2*j - 0*j + 20, 2*c + 2*j = 8. Solve -18 = 5*k + 2*q, 0 = -2*k + 3*q + 4 + c for k. -2 Let f = -213 - -65. Let p = -132 - f. Solve -5*b + 40 = -3*o, 41 = -3*o + 2*b + p for o. -5 Let p = 5 + -5. Let d(f) = p*f + 3*f + 0 - 2. Let u be d(3). Solve 2*q - u = 5*s, 5*q + 0*s = -4*s - 32 for q. -4 Let p be ((-24)/(-16) - (-6)/(-4))/2. Solve c + w = p, -w - 20 = 3*w for c. 5 Suppose 4*a = -y - y + 70, -4*a = -2*y + 38. Let d = y - 22. Solve -2*r - 8 = -d*g, -4*r - 3*g - 16 = g for r. -4 Suppose -3*p + 0*p + 15 = 0. Let h be (-2)/(-4) + (-1)/2. Let b(m) = 2*m**2 - 34*m + 70. Let q be b(2). Solve 5*g + 3*s + h*s = -1, -p*s = q for g. 1 Let m = 31 - 38. Let b be (-13)/m - 7/(-49). Solve p + 2*p = -b*z + 19, z - 4*p = -18 for z. 2 Let y(x) = x**3 + 14*x**2 + 12*x - 11. Let a be y(-13). Suppose 14 = 3*d - a*d. Suppose 3*w - 4 = d. Solve -3*t + 15 = -2*i, 0*i + 3*i + 5*t = w for i. -3 Let s be (4*-1)/((-20)/25). Let x = -6 + 6. Suppose o + 2*v = -8, -2*o + 3*v = -x*o - 19. Solve -o*i + 2 - 9 = s*m, 0 = 3*m + 3 for i. -1 Suppose 4*r = 4*k + 24, 2*r + 4*k + k + 9 = 0. Solve -3*o - d = r + 8, -5*d - 35 = 5*o for o. -2 Let y = 107 - 90. Suppose -c + 2 = -2*i - 7, 5*c + 4*i = y. Solve -5*n = 2*j - 19, c*n - 18 = -j + 4 for j. -3 Suppose -13 = -17*m + 13*m - 5*x, 9 = 3*m + 3*x. Let p = -3 - -5. Solve -p*c = 4*k - 2, 3*k - m*k = -4*c + 18 for c. 5 Let y = 4 + 1. Let r = 741 - 736. Solve y*a = -r*o + 5, 2*a + 3*o + 5 - 6 = 0 for a. 2 Suppose -312 - 468 = -6*w. Let p be w/14 + (-38)/133. Solve -4*r - p - 2 = i, -5*i + r - 13 = 0 for i. -3 Let s = 20 - 12. Let t(f) = -7*f - 9 - f**3 + 3*f + s*f**2 - f. Let g be t(7). Solve 2 = 4*l - 3*y - 0, 3*l - g*y = 7 for l. -1 Let h be ((-483)/14)/23 - 9/(-2). Solve -10 = -w + 3*s, 2*w - s = -h*s - 12 for w. -2 Let w be (-1)/(((-8)/12)/2). Let l(b) = -w + 4 + 4*b - 3*b - 5. Let k be l(9). Solve -2*s = 2*y + 6, y + 0*y = -k*s - 11 for s. -2 Suppose 5*z - 6*z = 0, -z = -n + 2. Solve 0 = -n*t - t + 5*l - 10, 20 = -3*t - 5*l for t. -5 Let g = -77 + 51. Let q = 53 + g. Let m = 31 - q. Solve m*s + 4*r - 16 = 0, -2*s - 2*s + 3*r + 9 = 0 for s. 3 Let i be (2 - (3 + (-20)/8))*2. Suppose -6*b = -b - 3*b. Solv
{ "pile_set_name": "DM Mathematics" }
late the greatest common divisor of 110 and 130. 10 Calculate the greatest common factor of 9 and 1962. 9 What is the highest common factor of 36 and 13086? 18 Calculate the greatest common divisor of 41 and 3526. 41 Calculate the greatest common factor of 55 and 99. 11 Calculate the greatest common divisor of 9 and 2529. 9 Calculate the greatest common factor of 7 and 623. 7 What is the greatest common factor of 70 and 532? 14 Calculate the greatest common factor of 8 and 44. 4 Calculate the greatest common factor of 91 and 26. 13 What is the greatest common factor of 315 and 140? 35 What is the greatest common divisor of 6 and 54? 6 Calculate the greatest common divisor of 5260 and 20. 20 What is the highest common divisor of 29 and 203? 29 What is the highest common factor of 110 and 28930? 110 Calculate the highest common divisor of 160 and 30. 10 What is the greatest common factor of 135 and 225? 45 What is the highest common factor of 36 and 162? 18 Calculate the greatest common divisor of 184 and 220. 4 Calculate the highest common factor of 88 and 198. 22 What is the highest common factor of 88 and 2266? 22 What is the highest common factor of 5 and 185? 5 Calculate the highest common factor of 1508 and 928. 116 Calculate the greatest common divisor of 12150 and 150. 150 What is the highest common divisor of 80 and 368? 16 Calculate the highest common factor of 671 and 22. 11 Calculate the greatest common factor of 14911 and 93. 31 Calculate the highest common divisor of 256 and 66. 2 Calculate the highest common divisor of 7627 and 29. 29 What is the highest common factor of 1278 and 18? 18 Calculate the greatest common factor of 6 and 46. 2 Calculate the greatest common factor of 161 and 21. 7 What is the greatest common factor of 187 and 22? 11 What is the greatest common factor of 345 and 483? 69 What is the highest common divisor of 55110 and 334? 334 Calculate the greatest common factor of 25 and 215. 5 What is the highest common divisor of 5 and 245? 5 What is the greatest common factor of 40 and 10? 10 Calculate the greatest common divisor of 2214 and 108. 54 What is the highest common divisor of 988 and 832? 52 What is the greatest common divisor of 101 and 3? 1 Calculate the highest common divisor of 24 and 2058. 6 What is the greatest common divisor of 4 and 652? 4 Calculate the greatest common divisor of 114 and 282. 6 Calculate the highest common factor of 40 and 2380. 20 Calculate the highest common factor of 875 and 250. 125 Calculate the greatest common factor of 240 and 32. 16 Calculate the highest common factor of 1168 and 3650. 146 What is the greatest common divisor of 55 and 13211? 11 Calculate the greatest common factor of 910 and 20. 10 What is the highest common divisor of 188 and 752? 188 Calculate the greatest common divisor of 13920 and 180. 60 Calculate the highest common divisor of 594 and 5368. 22 Calculate the highest common divisor of 644 and 2668. 92 Calculate the greatest common divisor of 18 and 9. 9 What is the greatest common factor of 462 and 126? 42 Calculate the greatest common factor of 2 and 45. 1 What is the greatest common divisor of 5313 and 3003? 231 Calculate the greatest common divisor of 10209 and 1245. 249 Calculate the highest common factor of 52 and 16432. 52 Calculate the greatest common factor of 4 and 52. 4 Calculate the greatest common factor of 10519 and 157. 157 What is the greatest common factor of 17314 and 88? 22 What is the highest common divisor of 2958 and 174? 174 Calculate the greatest common divisor of 17177 and 386. 193 Calculate the greatest common divisor of 120 and 40. 40 What is the greatest common divisor of 7800 and 48? 24 Calculate the greatest common factor of 27208 and 152. 152 What is the highest common divisor of 974 and 14? 2 What is the greatest common factor of 477 and 27? 9 What is the greatest common factor of 282 and 6? 6 Calculate the highest common factor of 7139 and 121. 121 Calculate the greatest common factor of 667 and 92. 23 Calculate the highest common factor of 254 and 30607. 127 Calculate the greatest common divisor of 1 and 391. 1 Calculate the highest common divisor of 16 and 96. 16 What is the highest common divisor of 60 and 36? 12 What is the highest common factor of 16384 and 96? 32 Calculate the highest common divisor of 3304 and 28. 28 Calculate the highest common divisor of 639 and 142. 71 What is the highest common factor of 21 and 27? 3 Calculate the highest common divisor of 1829 and 341. 31 Calculate the highest common divisor of 51 and 2227. 17 What is the highest common factor of 25264 and 4? 4 What is the highest common factor of 671 and 517? 11 Calculate the greatest common divisor of 109 and 4687. 109 Calculate the highest common divisor of 80 and 5. 5 Calculate the highest common divisor of 297 and 462. 33 What is the greatest common divisor of 14768 and 832? 208 What is the highest common factor of 684 and 162? 18 What is the highest common divisor of 7392 and 42? 42 Calculate the greatest common factor of 115 and 713. 23 Calculate the greatest common factor of 1292 and 2033. 19 Calculate the greatest common divisor of 1184 and 10952. 296 Calculate the highest common divisor of 49 and 5. 1 Calculate the highest common divisor of 200 and 50. 50 What is the greatest common divisor of 1475 and 59? 59 What is the greatest common divisor of 2565 and 60? 15 What is the highest common divisor of 2653 and 119? 7 Calculate the greatest common divisor of 244 and 793. 61 Calculate the greatest common factor of 45 and 1008. 9 What is the highest common divisor of 6 and 942? 6 What is the greatest common divisor of 23 and 6509? 23 Calculate the highest common factor of 28 and 3584. 28 Calculate the greatest common factor of 9594 and 18. 18 Calculate the highest common divisor of 342 and 5548. 38 Calculate the greatest common divisor of 22 and 22. 22 Calculate the highest common divisor of 4 and 28. 4 Calculate the highest common factor of 120 and 735. 15 Calculate the greatest common divisor of 180 and 5076. 36 What is the greatest common factor of 1425 and 171? 57 What is the highest common factor of 343 and 14749? 343 What is the highest common divisor of 21 and 217? 7 What is the greatest common divisor of 65 and 40? 5 What is the greatest common divisor of 85 and 45? 5 Calculate the highest common divisor of 4536 and 168. 168 Calculate the greatest common factor of 324 and 4617. 81 What is the greatest common factor of 104 and 4472? 104 What is the highest common divisor of 2 and 3? 1 Calculate the highest common divisor of 217 and 203. 7 What is the greatest common divisor of 138 and 322? 46 Calculate the highest common divisor of 28 and 20. 4 What is the greatest common factor of 200 and 8? 8 What is the highest common factor of 1957 and 95? 19 What is the highest common divisor of 253 and 529? 23 Calculate the greatest common divisor of 273 and 63. 21 What is the highest common factor of 102 and 306? 102 What is the greatest common factor of 39267 and 18? 9 Calculate the greatest common divisor of 17 and 1. 1 What is the greatest common factor of 559 and 26? 13 Calculate the greatest common divisor of 11101 and 136. 17 Calculate the highest common divisor of 535 and 642. 107 What is the greatest common factor of 8 and 4? 4 What is the highest common divisor of 22729 and 51? 17 Calculate the highest common factor of 1385 and 5. 5 What is the highest common divisor of 104 and 2896? 8 Calculate the greatest common factor of 3029 and 13. 13 What is the greatest common factor of 203 and 14? 7 Calculate the highest common divisor of 30 and 45. 15 Calculate the highest common factor of 72 and 528. 24 What is the greatest common factor of 38 and 1767? 19 Calculate the greatest common factor of 534 and 18. 6 What is the greatest common divisor of 2007 and 27? 9 What is the highest common divisor of 91 and 247? 13 Calculate the greatest common divisor of 52882 and 193. 193 Calculate the highest common divisor of 21 and 28. 7 Calculate the greatest common factor of 180 and 1740. 60 What is the highest common factor of 8 and 8600? 8 What is the highest common divisor of 10570 and 98? 14 What is the greatest common factor of 14065 and 6
{ "pile_set_name": "DM Mathematics" }
4 at most as big as -150? True Which is greater: 37/2 or 12? 37/2 Which is greater: 601 or 600? 601 Which is bigger: 428 or 418? 428 Is 3/20 >= 8? False Is -42/397 < 0? True Which is greater: -97 or -98? -97 Is 11 smaller than 79/8? False Is 1 at least as big as 5/77? True Is 5/4 >= 29? False Which is bigger: -1/31 or -3/61? -1/31 Which is greater: -652/29 or -22? -22 Which is greater: -26 or 19? 19 Is 1685 less than 1685? False Is 178 < 178? False Is -8434 greater than or equal to -8436? True Which is greater: 3746 or 3747? 3747 Is 755 > 756? False Is -178 greater than -179? True Which is smaller: 2/5 or 5? 2/5 Is 5515 at least 5515? True Which is smaller: 0 or -9/677? -9/677 Which is smaller: -403 or -421? -421 Are 781 and 781 nonequal? False Are 435.2 and -1 equal? False Which is greater: 18 or 736/41? 18 Which is smaller: -1086 or 2/9? -1086 Which is smaller: 2/7 or 28953? 2/7 Is 55 <= 5? False Is 0 greater than or equal to 2/261? False Is -101 bigger than -197? True Does 791 = -0.9? False Which is smaller: -13094 or -13097? -13097 Which is bigger: -1 or -33/29? -1 Which is smaller: 102 or -0.004? -0.004 Does 427/117 = 4? False Which is smaller: 7 or -18? -18 Which is bigger: 2.39 or 1? 2.39 Is -16 equal to 666? False Is 618 >= 619? False Is -13/3 greater than 27? False Which is greater: -97 or -670/7? -670/7 Which is smaller: 27 or -1? -1 Is 587 > 556? True Which is smaller: -69 or 2? -69 Which is smaller: -3/7594 or 0.1? -3/7594 Are 484 and 484 equal? True Which is smaller: 19339 or 19338? 19338 Which is bigger: 2/277 or 0? 2/277 Which is smaller: 1 or -0.4? -0.4 Are 7 and -79 equal? False Is -65 >= 8? False Does 52 = -2? False Which is smaller: 0 or 269? 0 Which is smaller: 302 or 298? 298 Is 11786/11 >= 1071? True Which is bigger: -3.91 or 23? 23 Is 13 at least as big as 15? False Which is greater: -451/5 or -91? -451/5 Is 0 at least -1603? True Does 4895 = 4895? True Which is greater: -6979/5 or -1397? -6979/5 Is 0.1 at most as big as 32308? True Does -38 = -223/6? False Is -49 bigger than -200? True Is 24/7967 less than -1? False Is -9 < -2/17? True Is -2 > -30/41? False Which is smaller: -1/187 or -3/7? -3/7 Is -8 at least as big as 8/3? False Are 57 and 57 unequal? False Which is greater: -341 or -345? -341 Does 4923 = 1? False Is -4 greater than or equal to 0.0998? False Are 18 and 738/43 nonequal? True Which is greater: 8/19 or -1? 8/19 Which is smaller: -43 or -47? -47 Which is smaller: 8 or 26? 8 Which is smaller: -572/3 or -192? -192 Do 6/11 and 2/19 have the same value? False Is 201 >= 1/3? True Is -1/1367 < 0? True Is -851 bigger than -867? True Which is smaller: 4221/5 or 844? 844 Which is smaller: 8/101 or 1? 8/101 Is 142 less than 146? True Which is smaller: 56 or 10? 10 Is 132 > 914/7? True Which is smaller: -35 or -34? -35 Is -2/44969 equal to 1? False Is -59 equal to 0.31? False Which is smaller: 0.17 or 0.116? 0.116 Which is greater: -7/365 or -3? -7/365 Are 82 and 75 nonequal? True Which is greater: 90 or -11? 90 Is 1/270 greater than or equal to 0? True Is 32 less than 24? False Which is bigger: -372 or -371? -371 Is -6 at most as big as -72/11? False Is 0.2 != 1.52? True Is 4/10539 bigger than 1? False Is -1 greater than 0.075? False Are -136 and -136 equal? True Which is greater: 7 or 79? 79 Which is greater: 106 or -10? 106 Which is smaller: 0 or -1/1994? -1/1994 Is 1 >= -1/26195? True Is -2/5 smaller than -29? False Which is greater: -15 or -3/92? -3/92 Which is greater: -1 or 6/6469? 6/6469 Which is smaller: 0.01 or 11.65? 0.01 Which is smaller: 29 or 28? 28 Which is bigger: 2505/11 or 229? 229 Is -56/13 > -3? False Is 5.643 greater than -2? True Is -1015/4 bigger than -253? False Which is bigger: 2/247 or -2? 2/247 Are 25 and 10 equal? False Do -24 and 4/5 have different values? True Which is bigger: 0 or 6/1679? 6/1679 Which is bigger: 0 or -1/441? 0 Is 32 at most 28? False Are 6595 and 6597 equal? False Is 1 less than or equal to 2/1497? False Which is greater: 11689 or 11687? 11689 Do -34/9 and -3 have different values? True Is -80 < -81? False Which is smaller: 1 or 918? 1 Are -1 and 61/672 nonequal? True Which is smaller: -136 or -138? -138 Is -1 not equal to 3/128? True Is -2/17 >= -6.3? True Which is greater: 51/28 or 1? 51/28 Do -16 and -103/7 have the same value? False Do 2176 and 2175 have the same value? False Which is smaller: -12156 or -12155? -12156 Is -962 less than or equal to -962? True Which is smaller: 2 or 12? 2 Which is bigger: -910 or -911? -910 Are 795 and 794 non-equal? True Which is bigger: -4197 or -4198? -4197 Which is smaller: -27/2 or 0.9? -27/2 Is 14/2155 at least as big as 0? True Is 0.33 at most as big as 1? True Is 1408 equal to 1? False Is -0.12 at least as big as -1770? True Which is smaller: -0.992 or 0.01? -0.992 Is -2/19 at least -4/83? False Are -30.2 and 4 unequal? True Is -1 < -41? False Is 163 at most 217? True Which is smaller: -285 or -300? -300 Does 26 = 23? False Which is smaller: 133/2 or 66? 66 Which is bigger: 161 or 170? 170 Is -767 less than 0.1? True Which is greater: 2 or 14/13? 2 Are 908 and 908 nonequal? False Is 0 bigger than -1/3409? True Are -167 and 37 nonequal? True Which is bigger: -49 or 5/6? 5/6 Is -0.212 > -4? True Is 113 at most as big as 107? False Does -1/1218 = 0? False Is -191 < -202? False Is 38 greater than or equal to 38? True Which is smaller: -3 or -102/25? -102/25 Is -280 != -284? True Is 1 equal to -2584? False Is 0 less than or equal to -530? False Which is greater: -6 or -152/21? -6 Which is smaller: 549 or 0? 0 Are 29 and 30 equal? False Is 10 at least -84? True Is 21 > 28? False Which is greater: 8 or 31/4? 8 Do 2311 and 2327 have the same value? False Is -2/29 >= -100? True Is 2/351 not equal to -6/7? True Which is smaller: 157 or 2529/16? 157 Which is greater: -1378 or -1370? -1370 Which is bigger: -47 or -0.12? -0.12 Is -1 at most -2.76? False Which is greater: 10 or 0.05? 10 Are 7/10798 and 0 unequal? True Which is bigger: -1 or 2/2575? 2/2575 Which is bigger: 262 or -5? 262 Is -310 bigger than -310? False Which is bigger: 38 or 2? 38 Is -1 at most -3/9997? True Is 1.1 at least -11? True Which is greater: -2 or -67? -2 Which is smaller: -25/16 or -3? -3 Which is smaller: 23 or -48? -48 Is -181/4 smaller than -3? True Which is smaller: 4 or 38/7? 4 Is 0 less than or equal to 3/17197? True Which is greater: 1 or -6/875? 1 Is 91/24 less than 4? True Which is greater: 9781 or 9779? 9781 Which is bigger: 1.174 or -1/4? 1.174 Which is greater: -1/2 or -799/3? -1/2 Which is bigger: -357 or -3226/9? -357 Which is greater: -253/5 or -51? -253/5 Which is smaller: -277 or -4/13? -277 Is 0 less than or equal to 37/98? True Which is bigger: 3 or 5? 5 Which is greater: -16/739 or 0? 0 Which is greater: -773 or -772? -772 Does 1 = 2/33? False Which is greater: -1 or -2/6107? -2/6107 Is 0.2 at least as big as -121? True Which is bigger: 1 or 3/629? 1 Are 1298 and 1299 non-equal? True Which is smaller: 39 or 38? 38 Which is greater: -6/3505 or -1? -6/3505 Which is bigger: 1/134 or -1? 1/134 Is 1 at least as big as 5/92? True Which is greater: 394 or 401? 401 Is -0.03972 at least 2/5? False Which is greater: 3 or 134? 134 Which is smaller: -0.06 or 29.8? -0.06 Is 2288 greater than or equal to 3? True Do -746 and -746 have different values? False Which is bigger: 2293/6 or 382? 2293/6 Is -4 > 515? False Which is bigger: 5218/5 or 1045? 1045 Is -5 at least as big as -205/34? True Is 315 at least as big as 315? True Which is smaller: 5914 or 5915? 5914 Which is smaller: 13/36 or 2/7? 2/7 Which is greater: 5040 or 15124/3? 15124/3 Is -5/2807 < -1? False Is 2/1471 smaller than 1? True Is -372/5 less than -73? True Is 223/5 less than or equal to -1? False Which is bigger: 1074 or 1077? 1077 Is 87 less than or equal to 116? True Which is bigger: 126/17 or -1? 126/17 Which is bigger: 0.85 or -0.07? 0.85 Is -5 greater than or equal to -28? True Is -3 greater than -135/4? True Do 0 and -3/29471 have different values? True Which is greater: 0.1 or -318? 0.1 Which is bigger: -513 or 11? 11 Which is smaller: 0.02 or -4/19? -4/19 Is 12 > -264? True Which is smaller: -16 or -14? -16 Which is bigger: 1/386 or 0? 1/386 Which is smaller: 1/3 or -23? -23 Are
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 2 w and 1 y when three letters picked without replacement from {w: 2, s: 2, y: 1}? 1/10 Three letters picked without replacement from {y: 4, t: 2}. Give prob of picking 1 y and 2 t. 1/5 Calculate prob of picking 2 a and 2 u when four letters picked without replacement from {u: 9, a: 3}. 12/55 Four letters picked without replacement from {i: 9, y: 7, v: 2}. Give prob of picking 2 y and 2 i. 21/85 What is prob of picking 1 k and 1 h when two letters picked without replacement from hkhkhkkhkh? 5/9 Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, d: 3, o: 2, s: 6, p: 1, f: 2}. 2/35 What is prob of picking 3 g when three letters picked without replacement from ggmggggggmgg? 6/11 Two letters picked without replacement from {w: 4, q: 2, t: 8, o: 1}. Give prob of picking 1 o and 1 q. 2/105 Two letters picked without replacement from bbiisibsibbsi. What is prob of picking 2 s? 1/26 Calculate prob of picking 1 w and 2 s when three letters picked without replacement from wsuuuwuuwfwpswfusu. 5/272 Calculate prob of picking 1 o, 1 w, and 1 c when three letters picked without replacement from iocooiowiiw. 8/165 Three letters picked without replacement from {t: 2, v: 3, p: 4, o: 1}. Give prob of picking 2 p and 1 t. 1/10 Calculate prob of picking 4 n when four letters picked without replacement from {u: 3, n: 5}. 1/14 Two letters picked without replacement from {y: 3, q: 6, e: 3, w: 1}. What is prob of picking 1 e and 1 y? 3/26 Two letters picked without replacement from {i: 2, c: 5, a: 5}. Give prob of picking 2 a. 5/33 Calculate prob of picking 1 b and 2 d when three letters picked without replacement from zzzzdgzzbgzzzbzzzdz. 2/969 Calculate prob of picking 3 n and 1 b when four letters picked without replacement from bvxcnncbcnbbxbbc. 3/910 What is prob of picking 1 a and 1 q when two letters picked without replacement from axjqxxxu? 1/28 Calculate prob of picking 2 l when two letters picked without replacement from {a: 1, l: 2, d: 1}. 1/6 Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {n: 6, g: 1, k: 10, x: 2, i: 1}. 3/95 What is prob of picking 4 h when four letters picked without replacement from hdadhddpdhdhhdhhdp? 7/612 Two letters picked without replacement from lgttjfs. Give prob of picking 1 f and 1 l. 1/21 Two letters picked without replacement from {z: 2, x: 11}. What is prob of picking 2 z? 1/78 Calculate prob of picking 1 s and 3 e when four letters picked without replacement from eeeeeseeesseee. 45/91 Four letters picked without replacement from xeeevrvrxeeevvrrk. What is prob of picking 1 v, 2 e, and 1 r? 12/119 What is prob of picking 1 z and 1 s when two letters picked without replacement from {r: 5, z: 1, h: 1, t: 2, l: 1, s: 3}? 1/26 Three letters picked without replacement from {l: 3, k: 1, g: 2, e: 3, t: 1, y: 1}. Give prob of picking 2 l and 1 g. 2/55 Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, t: 3, d: 4}. 3/28 Four letters picked without replacement from {p: 2, e: 4, x: 1}. What is prob of picking 1 x, 2 p, and 1 e? 4/35 Two letters picked without replacement from {g: 1, c: 1, s: 1}. Give prob of picking 1 g and 1 c. 1/3 What is prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, f: 1, m: 1}? 1/3 Two letters picked without replacement from {f: 4, m: 1, w: 2, y: 10}. Give prob of picking 1 y and 1 f. 5/17 Four letters picked without replacement from {x: 1, e: 1, p: 5, o: 1, g: 5, z: 1}. What is prob of picking 1 g and 3 p? 50/1001 What is prob of picking 2 o and 1 w when three letters picked without replacement from wwoebwwewow? 2/55 What is prob of picking 1 v and 3 g when four letters picked without replacement from gmvggvmmvmm? 1/110 What is prob of picking 1 u and 1 b when two letters picked without replacement from bjbjjjbjjjjjjcppujj? 1/57 Calculate prob of picking 3 z when three letters picked without replacement from {z: 4, w: 10}. 1/91 What is prob of picking 2 l when two letters picked without replacement from lllll? 1 What is prob of picking 2 a when two letters picked without replacement from jhbauajbabbjqa? 6/91 Calculate prob of picking 1 k and 1 a when two letters picked without replacement from kkpawp. 2/15 What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, a: 1, v: 1, h: 2}? 1/10 Two letters picked without replacement from ryriyirri. Give prob of picking 2 r. 1/6 Calculate prob of picking 3 z when three letters picked without replacement from zzllzzzzz. 5/12 Three letters picked without replacement from {f: 4, q: 2}. What is prob of picking 1 f and 2 q? 1/5 Four letters picked without replacement from {f: 4, e: 1, m: 6}. What is prob of picking 2 f, 1 e, and 1 m? 6/55 Calculate prob of picking 2 w when two letters picked without replacement from ccwcccwccwcccc. 3/91 Three letters picked without replacement from hggttaghhohgvvt. Give prob of picking 3 t. 1/455 Three letters picked without replacement from fejee. What is prob of picking 1 j and 2 e? 3/10 Two letters picked without replacement from {j: 1, o: 1, q: 1, x: 3, e: 1}. Give prob of picking 1 x and 1 q. 1/7 Four letters picked without replacement from bbabkbbbbabbabbb. What is prob of picking 3 b and 1 k? 11/91 Two letters picked without replacement from yvvyvvvvvvvvvvqqqy. What is prob of picking 1 q and 1 v? 4/17 Four letters picked without replacement from {c: 7, j: 6}. Give prob of picking 1 j and 3 c. 42/143 Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fwfwcwccfcwwwfwwffcf. 28/95 Four letters picked without replacement from {z: 2, d: 6, o: 3, r: 1}. Give prob of picking 4 d. 1/33 What is prob of picking 2 x when two letters picked without replacement from xmx? 1/3 Three letters picked without replacement from gcyaqcjag. Give prob of picking 2 c and 1 g. 1/42 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from gtgxxgtjtjggx. 5/39 Three letters picked without replacement from {d: 1, n: 1, k: 1, l: 1, j: 2, c: 1}. What is prob of picking 1 n, 1 j, and 1 l? 2/35 Calculate prob of picking 2 w and 1 a when three letters picked without replacement from aaxrawwa. 1/14 Two letters picked without replacement from llpjjlhlhjjhljjj. What is prob of picking 2 j? 7/40 What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, q: 1, z: 2}? 1/6 Calculate prob of picking 2 y when two letters picked without replacement from bbybbbyeeeebe. 1/78 Four letters picked without replacement from {v: 4, x: 1, u: 3, d: 3, m: 1, g: 6}. Give prob of picking 3 u and 1 g. 1/510 What is prob of picking 2 u and 1 h when three letters picked without replacement from {e: 1, v: 2, s: 2, u: 6, h: 1, f: 3}? 3/91 What is prob of picking 2 e and 2 r when four letters picked without replacement from rueqryueuyezzeuuurz? 3/646 Three letters picked without replacement from {g: 5, w: 15}. Give prob of picking 1 g and 2 w. 35/76 Two letters picked without replacement from {m: 2, a: 4, i: 2, u: 2, d: 3, e: 1}. Give prob of picking 1 u and 1 i. 4/91 Two letters picked without replacement from {u: 6}. What is prob of picking 2 u? 1 Three letters picked without replacement from pguqqqbpqpurpb. What is prob of picking 1 u and 2 q? 3/91 What is prob of picking 1 z, 1 a, 1 d, and 1 r when four letters picked without replacement from {r: 1, d: 4, a: 1, z: 7, k: 3}? 1/65 What is prob of picking 3 q when three letters picked without replacement from {e: 3, q: 7}? 7/24 Two letters picked without replacement from yfdfdyddydfffy. Give prob of picking 2 y. 6/91 Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hzoozohohhh. 4/11 What is prob of picking 1 x and 1 n when two letters picked without replacement from xnxxxnxnxnxxxx? 40/91 Two letters picked without replacement from {a: 4, w: 2, h: 2, x: 2}. What is prob of picking 2 w? 1/45 Calculate prob of picking 1 c and 3 b when four letters picked without replacement from {s: 1, h: 4, c: 2, b: 3, n: 3, p: 6}. 1/1938 What is prob of picking 1 h and 3 l when four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
-7066 48416 divided by -2848 -17 What is 2653278 divided by 6? 442213 Calculate -38070 divided by 45. -846 Calculate -77749 divided by 4. -77749/4 Divide 0 by 12945. 0 What is 173646 divided by 86823? 2 Divide -2413424 by 2. -1206712 What is 4 divided by 20026? 2/10013 Divide -293675 by 58735. -5 What is -44 divided by 28787? -4/2617 -5061822 divided by -3 1687274 What is -810848 divided by -8? 101356 Divide -36868 by 2. -18434 Calculate -144768 divided by 13. -11136 -720860 divided by 1 -720860 Divide -8348 by 4174. -2 Divide -71 by 1280. -71/1280 Calculate 35 divided by 24722. 35/24722 Divide 7530 by -30. -251 Divide -5192 by -1298. 4 What is 1991082 divided by -995541? -2 59070 divided by -1790 -33 Divide -3 by 22192. -3/22192 Divide 140432 by -524. -268 Divide -593 by 524. -593/524 Divide 1774190 by 177419. 10 Divide 8678 by -23. -8678/23 Calculate -1898 divided by 1. -1898 What is 2950624 divided by 46? 64144 What is 3827 divided by -56? -3827/56 Calculate 1000432 divided by -16136. -62 Calculate 7590 divided by 67. 7590/67 265867 divided by 13993 19 Divide -6 by 256360. -3/128180 What is -49 divided by -490? 1/10 What is 60 divided by 2123? 60/2123 Calculate 14468 divided by -7234. -2 Divide 42920 by -38. -21460/19 Calculate 47952 divided by -37. -1296 2 divided by 171095 2/171095 What is 282013 divided by 6? 282013/6 What is 1586728 divided by 122056? 13 -26 divided by -637 2/49 What is 41181 divided by 1113? 37 48132 divided by -191 -252 Calculate 6635612 divided by 2. 3317806 191 divided by 3046 191/3046 Calculate -1337 divided by 103. -1337/103 What is -1473786 divided by -1997? 738 Divide -571560 by 220. -2598 Divide -53439 by -3. 17813 Divide -22557 by -219. 103 Divide 461894 by 1471. 314 Divide -155460 by -15. 10364 Calculate -3092 divided by 2. -1546 -1319002 divided by -2 659501 6845072 divided by -4 -1711268 What is -330148 divided by -14? 23582 What is -2 divided by 21624? -1/10812 -32 divided by 8982 -16/4491 Calculate 35492 divided by -19. -1868 21528 divided by 52 414 Calculate -7966 divided by 7966. -1 6 divided by 155523 2/51841 Divide 339 by -6844. -339/6844 What is 4803 divided by 2? 4803/2 Divide -79 by 342. -79/342 Calculate -9074 divided by 44. -4537/22 Calculate -1925654 divided by 2. -962827 Calculate -84036 divided by 4. -21009 Divide 248152 by 124076. 2 1229319 divided by -9243 -133 Divide -62 by 916. -31/458 Divide -8 by -1779. 8/1779 -71 divided by -672 71/672 Calculate 28314 divided by 234. 121 What is -3 divided by 68229? -1/22743 0 divided by 62412 0 -165146 divided by 5 -165146/5 Calculate -108450 divided by -3615. 30 Calculate 21433 divided by 3. 21433/3 -124803 divided by -9 13867 397320 divided by 4515 88 Calculate 9911 divided by 583. 17 116144 divided by -2 -58072 Calculate 31255 divided by 4. 31255/4 Divide -584332 by 14252. -41 Calculate -12683 divided by 6. -12683/6 46500 divided by 775 60 Calculate 73152 divided by 6096. 12 3 divided by -6973 -3/6973 Calculate 12 divided by 106418. 6/53209 Divide 5564152 by 4. 1391038 Divide 2 by 322065. 2/322065 Calculate 1531024 divided by 2. 765512 Divide 20748 by 1092. 19 Divide -5 by -5769. 5/5769 What is 29484 divided by -14742? -2 Divide -1236 by 817. -1236/817 84631 divided by 8 84631/8 Divide 88 by 44. 2 Calculate -29 divided by 22415. -29/22415 -37896 divided by -6 6316 What is -1219969 divided by 97? -12577 Calculate -18 divided by -2454. 3/409 What is -58550 divided by -2342? 25 24138 divided by -51 -8046/17 Divide -225784 by -2. 112892 Divide 18292 by 1. 18292 Divide 93800 by -23450. -4 What is -38505 divided by 7701? -5 Divide 553 by -215. -553/215 Divide 84782 by -2. -42391 Calculate -16 divided by 4474. -8/2237 Calculate 21054 divided by 2. 10527 Calculate 41860 divided by 52. 805 0 divided by 1444 0 What is -7 divided by -39118? 7/39118 What is -1 divided by 173852? -1/173852 What is 49732 divided by -2? -24866 Calculate 54058 divided by -302. -179 Calculate 313556 divided by -3. -313556/3 What is -1659 divided by -1105? 1659/1105 Calculate 5507 divided by -11. -5507/11 -57545 divided by 11509 -5 Divide 10032 by 11. 912 Calculate -93636 divided by 36. -2601 What is 102833 divided by 263? 391 What is -12651126 divided by 3? -4217042 -2475 divided by -165 15 Calculate 255145 divided by 1. 255145 Calculate -105480 divided by -1. 105480 Calculate 14 divided by -4374. -7/2187 Divide -94047 by -23. 4089 What is -4586 divided by 5? -4586/5 Divide -1206 by 226. -603/113 What is 88660 divided by 17732? 5 Divide 106212 by 501. 212 -63567 divided by 9 -7063 Calculate 167 divided by 15221. 167/15221 Divide -42016 by 202. -208 -409 divided by -1386 409/1386 What is 7 divided by 28509? 7/28509 What is -1540718 divided by 2? -770359 Divide 6344 by -3. -6344/3 128639 divided by 329 391 Calculate 99 divided by 554. 99/554 -4404 divided by -1101 4 What is -1509367 divided by 1? -1509367 0 divided by -378592 0 What is -56410 divided by -56410? 1 Divide 245964 by -206. -1194 Divide 1159180 by -579590. -2 Calculate -3 divided by -28870. 3/28870 Divide -81525 by 5. -16305 Divide 126816 by -2642. -48 3 divided by -898992 -1/299664 What is -106505 divided by -119? 895 -258 divided by -6405 86/2135 131 divided by -143 -131/143 -2102 divided by -1091 2102/1091 468510 divided by 22310 21 Divide -601 by -12. 601/12 Divide -307455 by 5. -61491 Divide -484305 by -5. 96861 2732849 divided by 390407 7 -7928 divided by 180 -1982/45 -32548 divided by 8137 -4 Calculate 27583 divided by 20. 27583/20 Divide 451124 by 3889. 116 Divide -19 by -244. 19/244 884 divided by -88 -221/22 -453 divided by -189 151/63 4 divided by -18920 -1/4730 Divide -1904 by -250. 952/125 1437152 divided by 3104 463 Divide 1748648 by -8. -218581 What is -2 divided by 556814? -1/278407 Divide 233964 by -3492. -67 What is 2299992 divided by 1? 2299992 Divide 469992 by -24. -19583 Divide 92169 by -171. -539 What is -1171926 divided by -393? 2982 Divide 0 by 98918. 0 Divide 1 by 2291. 1/2291 -1443687 divided by 5 -1443687/5 Calculate 24 divided by 5439. 8/1813 What is -942096 divided by 38? -24792 Calculate 2 divided by 176288. 1/88144 Calculate 1238545 divided by 4. 1238545/4 -490 divided by 288 -245/144 Calculate -422 divided by 64. -211/32 What is 251686 divided by 125843? 2 What is -5131282 divided by -1? 5131282 -9 divided by 40279 -9/40279 What is 149472 divided by -6228? -24 Divide 69 by 41206. 69/41206 What is -68 divided by -828? 17/207 What is 4 divided by -48214? -2/24107 -1217804 divided by 1 -1217804 Calculate 59850 divided by 315. 190 Divide -930 by 5. -186 -53890 divided by -13 53890/13 What is 380156 divided by -7? -54308 Calculate 22272 divided by -1856. -12 Divide -2814152 by -452. 6226 Divide -2708545 by -541709. 5 -15743 divided by 237 -15743/237 146 divided by 489 146/489 -814094 divided by 3 -814094/3 Divide 1 by 4733. 1/4733 -27895 divided by -5 5579 Divide -195099 by -2. 195099/2 Calculate -50331 divided by -2649. 19 -7 divided by 356123 -7/356123 2 divided by -31169 -2/31169 Divide 1 by -124110. -1/124110 What is 194416 divided by 3? 194416/3 4911 divided by -4911 -1 Divide -26950 by 10. -2695 What is -66 divided by -9? 22/3 What is 1177 divided by 135? 1177/135 What is -3 divided by 12929? -3/12929 Calculate 43632 divided by -7272. -6 Calculate 1969 divided by 60. 1969/60 45698 divided by -146 -313 -2 divided by 160354 -1/80177 What is -1158720 divided by 272? -4260 What is 225 divided by -953? -225/953 What is -3244 divided by -24? 811/6 What is -8042368 divided by 96896? -83 Divide 1 by 3484. 1/3484 What is 23 divided by 105583? 23/105583 Divide -195321 by 3. -65107 Calculate 49536 divided by -3096. -16 -1262 divided by -376 631/188 What is 17 divided by 4121? 17/4121 Calculate -11350 divided by -2. 5675 -324675 divided by -12987 25 -47 divided by 8361 -47/8361 Calculate 30712 divided by 8. 3839 Calculate 230652 divided by 6. 38442 20248 divided by -2 -10124 46 divided by -2251 -46/2251 What is 249 divided by -10867? -249/10867 What is 39 divided by -365? -39/365 Calculate -3016 divided by 43. -3016/43 Divide -1390 by -24. 695/12 Calculate 1481500 divided by -148150. -10 Calculate 801 divided by -2672. -801/2672 Divide 75858 by -25286. -3 Divide 18621 by 151. 18621/151 Divide -837
{ "pile_set_name": "DM Mathematics" }
**3 + 2931*v**2 - 2*v - 77 What is the s'th term of 774, 752, 670, 492, 182, -296, -978? -6*s**3 + 6*s**2 + 2*s + 772 What is the l'th term of -1906, -1920, -1944, -1978, -2022, -2076, -2140? -5*l**2 + l - 1902 What is the a'th term of -45395, -45414, -45443, -45482, -45531, -45590, -45659? -5*a**2 - 4*a - 45386 What is the f'th term of -872594, -872603, -872612, -872621, -872630, -872639? -9*f - 872585 What is the l'th term of 7061, 14150, 21255, 28370, 35489, 42606? -l**3 + 14*l**2 + 7054*l - 6 What is the o'th term of 502, 989, 1458, 1909? -9*o**2 + 514*o - 3 What is the k'th term of -277, -315, -373, -445, -525? k**3 - 16*k**2 + 3*k - 265 What is the l'th term of 2926, 11705, 26338, 46825? 2927*l**2 - 2*l + 1 What is the c'th term of -2403, -2433, -2505, -2637, -2847, -3153, -3573, -4125? -3*c**3 - 3*c**2 - 2397 What is the k'th term of 1141, 1124, 1107? -17*k + 1158 What is the o'th term of -12774, -25661, -38548, -51435, -64322? -12887*o + 113 What is the w'th term of 141, 670, 1543, 2754, 4297, 6166? -w**3 + 178*w**2 + 2*w - 38 What is the r'th term of -145570, -291141, -436712? -145571*r + 1 What is the f'th term of 406, 829, 1252, 1675, 2098, 2521? 423*f - 17 What is the b'th term of -2, -14, -40, -86, -158, -262, -404, -590? -b**3 - b**2 - 2*b + 2 What is the r'th term of -145, -112, -57, 20, 119, 240? 11*r**2 - 156 What is the k'th term of 767, 766, 765, 764, 763? -k + 768 What is the q'th term of 23, -8, -191, -628, -1421, -2672, -4483? -17*q**3 + 26*q**2 + 10*q + 4 What is the g'th term of 108570, 108567, 108562, 108555, 108546, 108535? -g**2 + 108571 What is the s'th term of 6842, 27372, 61582, 109466, 171018, 246232? -s**3 + 6846*s**2 - s - 2 What is the q'th term of 184, 125, 56, -17, -88, -151? q**3 - 11*q**2 - 33*q + 227 What is the h'th term of -1138, -1109, -1072, -1027, -974, -913? 4*h**2 + 17*h - 1159 What is the x'th term of -1387, -2264, -3143, -4024, -4907, -5792? -x**2 - 874*x - 512 What is the c'th term of -12698, -12691, -12684, -12677, -12670, -12663? 7*c - 12705 What is the f'th term of 178485, 178486, 178487, 178488? f + 178484 What is the p'th term of 33170, 132647, 298448, 530579, 829046? p**3 + 33156*p**2 + 2*p + 11 What is the o'th term of -210, -628, -1346, -2514, -4282? -25*o**3 - 243*o + 58 What is the k'th term of 789, 1663, 2549, 3453, 4381, 5339, 6333? k**3 + 867*k - 79 What is the p'th term of -9351, -9371, -9409, -9471, -9563? -p**3 - 3*p**2 - 4*p - 9343 What is the j'th term of 72745, 72724, 72687, 72628, 72541, 72420? -j**3 - 2*j**2 - 8*j + 72756 What is the a'th term of -14729, -29407, -44085, -58763, -73441? -14678*a - 51 What is the j'th term of 182, 480, 1030, 1958, 3390? 21*j**3 + 151*j + 10 What is the k'th term of -440214, -880426, -1320638, -1760850, -2201062? -440212*k - 2 What is the m'th term of 872, 837, 782, 707? -10*m**2 - 5*m + 887 What is the u'th term of 3402, 6777, 10152, 13527, 16902? 3375*u + 27 What is the m'th term of -298159, -298167, -298187, -298225, -298287, -298379, -298507? -m**3 - m - 298157 What is the f'th term of -162, -463, -956, -1635, -2494, -3527? f**3 - 102*f**2 - 2*f - 59 What is the c'th term of -5886, -11727, -17568? -5841*c - 45 What is the w'th term of 504, 1059, 1596, 2115, 2616, 3099? -9*w**2 + 582*w - 69 What is the j'th term of -29, -110, -263, -494, -809, -1214, -1715, -2318? -j**3 - 30*j**2 + 16*j - 14 What is the x'th term of -84931, -169861, -254793, -339727, -424663? -x**2 - 84927*x - 3 What is the l'th term of 125, 94, 59, 32, 25, 50, 119, 244? 2*l**3 - 14*l**2 - 3*l + 140 What is the j'th term of -768, -831, -936, -1083, -1272, -1503? -21*j**2 - 747 What is the p'th term of -892, -3593, -8096, -14407, -22532, -32477? -p**3 - 895*p**2 - 9*p + 13 What is the f'th term of 752, 2923, 6524, 11555? 715*f**2 + 26*f + 11 What is the s'th term of 322, 2441, 8180, 19351, 37766? 302*s**3 - 2*s**2 + 11*s + 11 What is the l'th term of 97, 113, 5, -269, -751, -1483, -2507, -3865? -7*l**3 - 20*l**2 + 125*l - 1 What is the v'th term of 38732, 77465, 116198, 154931, 193664? 38733*v - 1 What is the l'th term of -3019, -5965, -8749, -11287, -13495, -15289? 14*l**3 - 3*l**2 - 3035*l + 5 What is the a'th term of 27488, 27496, 27510, 27530, 27556, 27588? 3*a**2 - a + 27486 What is the g'th term of -441358, -882720, -1324084, -1765450, -2206818, -2648188, -3089560? -g**2 - 441359*g + 2 What is the a'th term of 41, -28, -107, -196, -295, -404, -523? -5*a**2 - 54*a + 100 What is the l'th term of 429, 341, 135, -231, -799? -7*l**3 - 17*l**2 + 12*l + 441 What is the n'th term of -49567, -99135, -148703, -198271, -247839? -49568*n + 1 What is the o'th term of 94, 173, 230, 265? -11*o**2 + 112*o - 7 What is the v'th term of -118291, -118310, -118327, -118342? v**2 - 22*v - 118270 What is the f'th term of 377, 618, 859, 1100? 241*f + 136 What is the z'th term of 4769, 9444, 14119, 18794, 23469, 28144? 4675*z + 94 What is the c'th term of -324, 168, 660, 1152? 492*c - 816 What is the p'th term of 58, -64, -354, -812, -1438? -84*p**2 + 130*p + 12 What is the u'th term of 11532, 23064, 34598, 46134? u**2 + 11529*u + 2 What is the t'th term of -25579, -102314, -230205, -409252, -639455, -920814, -1253329? -25578*t**2 - t What is the r'th term of -106, -303, -648, -1213, -2070, -3291? -12*r**3 - 2*r**2 - 107*r + 15 What is the q'th term of 568, 2243, 5048, 8995, 14096? 2*q**3 + 553*q**2 + 2*q + 11 What is the g'th term of -82, -149, -184, -169, -86, 83? 3*g**3 - 2*g**2 - 82*g - 1 What is the a'th term of 147, 614, 1861, 4278, 8255? 65*a**3 + 12*a + 70 What is the d'th term of 264, 435, 552, 591, 528, 339, 0? -4*d**3 - 3*d**2 + 208*d + 63 What is the x'th term of 17577, 17580, 17593, 17622, 17673, 17752? x**3 - x**2 - x + 17578 What is the m'th term of -497336, -497338, -497340, -497342, -497344? -2*m - 497334 What is the v'th term of -11140, -11206, -11276, -11350, -11428, -11510, -11596? -2*v**2 - 60*v - 11078 What is the i'th term of 0, -87, -282, -585, -996, -1515, -2142? -54*i**2 + 75*i - 21 What is the m'th term of 10908, 10875, 10842, 10809? -33*m + 10941 What is the y'th term of 18601, 18602, 18603, 18604, 18605? y + 18600 What is the o'th term of 234, 631, 1190, 1911, 2794? 81*o**2 + 154*o - 1 What is the i'th term of -601, -860, -1073, -1216, -1265, -1196, -985, -608? 4*i**3 - i**2 - 284*i - 320 What is the t'th term of -2218, -4454, -6692, -8932? -t**2 - 2233*t + 16 What is the m'th term of -58839, -58833, -58825, -58815, -58803, -58789, -58773? m**2 + 3*m - 58843 What is the n'th term of -1290, -5177, -11662, -20745, -32426? -1299*n**2 + 10*n - 1 What is the j'th term of -54847, -109708, -164569, -219430? -54861*j + 14 What is the z'th term of -877, -929, -997, -1087, -1205, -1357, -1549, -1787? -z**3 - 2*z**2 - 39*z - 835 What is the q'th term of 512, 1078, 1640, 2198, 2752, 3302, 3848? -2*q**2 + 572*q - 58 What is the l'th term of -1337, -1327, -1319, -1313? -l**2 + 13*l - 1349 What is the x'th term of 138357, 276715, 415073, 553431, 691789, 830147? 138358*x - 1 What is the l'th term of 41364, 82714, 124064, 165414, 206764, 248114? 41350*l + 14 What is the n'th term of 129, 272, 435, 630, 869, 1164? 2*n**3 - 2*n**2 + 135*n - 6 What is the l'th term of 1371, 1401, 1447, 1515, 1611, 1741, 1911? l**3 + 2*l**2 + 17*l + 1351 What is the h'th term of -94, -100, -76, -16, 86, 236, 440, 704? h**3 + 9*h**2 - 40*h - 64 What is the n'th term of 3193, 12800, 28815, 51238, 80069? 3204*n**2 - 5*n - 6 What is the b'th term of 106, 880, 2998, 7138, 13978, 24196, 38470, 57478? 113*b**3 - 6*b**2 + b - 2 What is the v'th term of -4391, -8756, -13101, -17426, -21731, -26016? 10*v**2 - 4395*v - 6 What is the j'th term of 131477, 262955, 394433, 525911, 657389? 131478*j - 1 What is the c'th term of -1015, -1171, -1327, -1483, -1639, -1795? -156*c - 859 What is the f'th term of 2304, 2171, 2038, 1905? -133*f + 2437 What is the u'th term of -969461, -969457, -969463, -969485, -969529? -u**3 + u**2 + 8*u - 969469 What is the g'th term of 257653, 515311, 772969, 1030627? 257658*g - 5 What is the b'th term of -8, -14, 26, 154, 412, 842, 1486? 7*b**3 - 19*b**2 + 2*b + 2 What is the r'th term of -3457, -6429, -9399, -12367? r**2 - 2975*r - 483 What is the p'th term of 103996, 103965, 103934,
{ "pile_set_name": "DM Mathematics" }
e factors of d? 2, 3 Let m be 1/(1 + (-30)/27). Let s = -7 - m. Suppose -5*o = a - 17, s*a + 3*o - 10 = o. List the prime factors of a. 2 Suppose -9*j = -937 + 397. Let r = 13 - 34. Let v = r + j. List the prime factors of v. 3, 13 Let l = 85 + -82. Suppose l*g = f + 253, -g + 4*f + 182 = g. List the prime factors of g. 83 Let r(g) = g**3 - 5*g**2 - 17*g + 10. Let w be r(10). Let f = w + -117. List the prime factors of f. 223 Let l be 18*((-20)/3)/5. Let i = -16 - l. List the prime factors of i. 2 Let j be ((-8)/4)/(2/(-4)). Suppose j*l - 2*b - 83 = 227, 2*b - 65 = -l. What are the prime factors of l? 3, 5 Let q be (-6)/108*2 - (-62)/(-9). List the prime factors of (-9)/63 + (-302)/q - -1. 2, 11 Suppose u + 6 = 4*u. Suppose u*x = 5*x - 486. What are the prime factors of x? 2, 3 Suppose 20 - 2 = -3*q. Let j(g) = -10 - 3*g - 3*g - 4 - 5. What are the prime factors of j(q)? 17 Let i = -55 + 50. List the prime factors of (i*2)/((-3)/9). 2, 3, 5 Let m(s) = 0 - 8*s + 0. Suppose 0 = 118*w - 115*w + 9. What are the prime factors of m(w)? 2, 3 Let t = -12 + 12. Suppose t*j - j + 32 = 0. Let s = j - 16. What are the prime factors of s? 2 Suppose 10594 + 99782 = 24*r. What are the prime factors of r? 3, 7, 73 Suppose m = -3*p + 4940, 3*m + 3402 - 94 = 2*p. List the prime factors of p. 2, 103 Suppose -805 = -3*u - 5*w, 3*u - 385 = 5*w + 430. What are the prime factors of u? 2, 3, 5 Let z = 177 + 1104. List the prime factors of z. 3, 7, 61 Let h(b) = 226*b - 40. What are the prime factors of h(2)? 2, 103 List the prime factors of (6 - 0)*402/9. 2, 67 Let d(i) = 9*i + 5. Let u(x) = -18*x - 10. Let z(o) = -5*d(o) - 2*u(o). Let h be z(-5). Suppose 5*s = f - 5, -s + h = 2*f - 5*s. List the prime factors of f. 2, 3, 5 Let o(m) be the third derivative of m**5/60 - 7*m**4/24 - 4*m**3/3 - 2*m**2. Let w be o(-6). Suppose -8*b + 10*b = w. List the prime factors of b. 5, 7 Let h = -1040 + 1915. List the prime factors of h. 5, 7 Suppose -7*i = -5*a - 2*i + 95, a - 35 = -3*i. Suppose 0 = -3*y + a + 16. List the prime factors of y. 13 Let a = -38 - -1. Let r = a + 42. What are the prime factors of r? 5 Let h be (-2 - -1)/(6/462). Let t be 1/6 - h/42. Suppose t*x = -x + 39. What are the prime factors of x? 13 Let a(z) = -z**3 + 9*z**2 - 11*z + 4. Let n be a(7). Suppose 4*o = 1 - n. What are the prime factors of (o/(-2))/(5/20)? 2, 3 Let q be (-4*3)/((-232)/32 - -7). Suppose 5*s - 3*d = 1213, 3*d - q = -s + 191. What are the prime factors of s? 2, 11 Suppose -12*a = -17*a + 2070. What are the prime factors of a? 2, 3, 23 Let r be 8/12 + (-69)/9. Let t be (2/4)/(r/(-490)). Suppose 3*b - 37 = t. List the prime factors of b. 2, 3 Let v be -2 - -4 - (-37 + 0). Let g(z) = v*z**2 - 5 - 45*z**2 + z**3 + 8*z - 2. What are the prime factors of g(6)? 41 Let r = 20 + -26. Let y be (-25)/r + 6/(-36). Suppose 3*c - 28 = -y. List the prime factors of c. 2 Let f(t) = -t**3 + 3*t**2 - 2*t - 3. Let k be f(3). Let r be k/(-6)*(-1 - -3). Suppose 0 = -2*n + 29 + r. What are the prime factors of n? 2 Suppose -25*t + 26*t - 4205 = -4*q, -t - 5245 = -5*q. What are the prime factors of q? 2, 3, 5, 7 What are the prime factors of (11392/48)/((4/(-3))/(-2))? 2, 89 Let z be 22/(-3)*30/(-4). Suppose 0 = c - 3*u - 40, -123 = -4*c + 3*u + z. List the prime factors of c. 2, 23 Suppose 4*a = -4*z + 2720, 0 = -a + z + 630 + 40. List the prime factors of a. 3, 5 Let g be ((-1)/5 - (-330)/25) + -2. Let o(b) = -b**2 + 11*b + 26. What are the prime factors of o(g)? 2, 13 Let c(p) = p**3 + 11*p**2 - 6*p + 8. Let o be c(-10). Suppose 0 = -3*a + o - 60. List the prime factors of 2/(-6) + 588/a. 2 Suppose 684*y - 2538 = 681*y. What are the prime factors of y? 2, 3, 47 Let w = -29 - -309. Let a = w + -188. Let l = a + -34. List the prime factors of l. 2, 29 Suppose -2*s = -3*a - 6, 0*a = 4*a + 2*s + 8. Let i be (5/a + 3)*8. What are the prime factors of 9/(-2)*-10 + i? 7 Let m = -22 - -24. Suppose 0 = -m*o + o. Suppose -2*x + 17 + 25 = o. What are the prime factors of x? 3, 7 Let n(o) = -23*o + 243. What are the prime factors of n(-21)? 2, 3, 11 Let u(j) = j**3 + 10*j**2 + 16*j - 17*j**2 + 0*j**3. What are the prime factors of u(8)? 2, 3 Suppose 4*a + 7596 = 4*h, 3*a = 7*h - 6*h - 1893. List the prime factors of h. 2, 3, 317 Let u = -10422 + 16409. List the prime factors of u. 5987 Let u(t) = -10*t + t**3 + 7*t**2 + 1 + 1 + 1 - 4. List the prime factors of u(-8). 3, 5 Let o = 39 + -37. Suppose 3*h + 120 = -4*r + 520, 0 = o*h. List the prime factors of r. 2, 5 Suppose 168 = 41*c - 38*c. List the prime factors of c. 2, 7 Suppose 0 = 3*l + 11 - 59. Suppose -r + 5*r = l. Suppose -r*n = -2*n - 48. What are the prime factors of n? 2, 3 Let w be 36/(-90) - 208/5. Let h = w + 33. List the prime factors of 2/(1 + h/12). 2 Let z = 13 - 20. Suppose -3*y + 4*g = -42, -g = -5*y - 6*g + 35. Let a = z + y. What are the prime factors of a? 3 Suppose 5*p - 1795 = -5*f + 1070, -4*f = 3*p - 1718. List the prime factors of p. 2, 7, 41 Let n(c) = -92*c - 61. What are the prime factors of n(-10)? 859 Suppose 0 = -3*k - 2*x + 6239, -k - 3*x + 1349 + 726 = 0. List the prime factors of k. 2081 Let u(o) = o**3 + 11*o**2 + 5*o - 21. Suppose -2*z - 4*b = 0, 0 = 5*z - 4*z - 4*b + 30. List the prime factors of u(z). 29 Let c = 113 + 113. What are the prime factors of c? 2, 113 Let m(n) be the first derivative of n**3/3 + 5*n**2 - 11*n - 3. Suppose 0 = -l - 3*l - 52. List the prime factors of m(l). 2, 7 Suppose -2*g - 34 = 2*z - 864, -5*z - 4*g = -2074. What are the prime factors of z? 2, 3, 23 Let u(z) = -z**2 - 10*z + 22. Let t be u(-9). Let y = -13 + t. What are the prime factors of y? 2, 3 Suppose -19*g + 62910 = 8*g. List the prime factors of g. 2, 5, 233 Let r(n) = -n + 10*n**2 + 15*n**2 + n + 1. List the prime factors of r(-3). 2, 113 Suppose 3*t - b - 31 = 0, 3*b + 9 = 2*t - 7. Suppose -9 = -5*k + t. What are the prime factors of (-392)/(-18) - k/(-18)? 2, 11 Let b(i) = i**3 - 2*i**2 - 10*i - 3. List the prime factors of b(7). 2, 43 Let f(k) = -k**3 + 5*k**2 + 10*k - 21. Let q be f(6). Suppose -q*l - 457 = -4*a, -5*a - 4*l + 563 = -47. What are the prime factors of a? 2, 59 Suppose 0 = -5*i - 0*d - 3*d + 820, 4*i - 3*d - 683 = 0. What are the prime factors of i? 167 Suppose -q + 3*k = -5, 5*k + 10 = 2*q + 3*k. Suppose -q*p + 0*o + 2*o + 25 = 0, 0 = 2*p + 4*o - 10. List the prime factors of p. 5 Let l(y) = 16*y**2 - y - 25. List the prime factors of l(-5). 2, 5, 19 Suppose 2*h + 10 = 3*k - 6, h = -5*k + 18. Let v(b) = 4 - 7*b + 2 - 3 + k*b**2 + 0*b**2. List the prime factors of v(3). 2, 3 Let b(c) = -c**2 - 2*c - 24. Let i(q) = q. Let h(o) = -b(o) - 2*i(o). Let j = -2 - -2. What are the prime factors of h(j)? 2, 3 Let j = 856 + -853. Let z(f) = 30*f**2 - 4*f + 2. Let g be z(2). Suppose -g = -j*w + 2*a, 133 + 8 = 4*w + a. What are the prime factors of w? 2, 3 Suppose -1707 = -3*z + 12975. List the prime factors of z. 2, 2447 Let t = -120 - -190. Let h = 116 - t. List the prime factors of h. 2, 23 Suppose -4*x - 159408 = -58*x. What are the prime factors of x? 2, 3, 41 Let y(k) = -k**2 + 4. Let f be y(2). Suppose 2*j = -f*j + 8. Suppose -w = -3*a + 2*a - 11, j*w + 2*a = 32. What are the prime factors of w? 3 What are the prime factors of (296/16 + -9)*22? 11, 19 Let b be (-6 + 8)/(16/(-10) - -2). Suppose 4*f = -5*i + 105, 2*f + 4 + 6 = 0. Suppose -59 = -4*w - h, -w - w + i = b*h. What are the prime factors of w? 3, 5 Suppose -4*a + 2508 = 896. Suppose -16*l = a - 3395. What are the prime factors of l? 11, 17 Let r(w) = 22*w**2 - 3*w - 1. Let u be r(-1). List the prime factors of u/36 - (968/(-6) - -1). 7, 23 Let n be 5/20 - (6710/(-8) - -3). Suppose -4*p = 3*r - 0*r - n, r - 257 = 3*p. List the prime factors of r. 2, 17 Let g = 25 - 28. Let i be -3 + 38 + (1 - g). Suppose -3*x = -i - 9. List the prime factors of x. 2 Let o(z) = z**2 + 19*z + 3. Let k be o(-10). What are the prime factors of (2 + k/6)*-4? 2, 5 Suppose 5*n - 2*q = -7*q + 9140, 3*q = 12. List the prime factors of n. 2, 3, 19 Suppose j + 3*j = -5*d + 425, -2*d + 3*j = -193. Let n = 26 + d. What are the prime factors of n? 5, 23 Suppose 3*g + 73 = 4*c, 2*g - 74 = -5*c - 0*c. Let h(u) = u**3 - 8*u**2 + 12*u + 3. Let i be h(6). Suppose c = i*j + 4. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
4*r**4 + 1363*r + 2. What is the third derivative of k(b) wrt b? 34080*b**2 Let i(c) = -351*c - 4766. Let s(k) = 703*k + 9556. Let q(l) = 7*i(l) + 4*s(l). Differentiate q(j) with respect to j. 355 Let h(r) = 23*r**4 + 15*r**3 - 14*r**2 + 5792*r + 21. Let c(i) = -i**4 + i**2 - i - 3. Let v(x) = 7*c(x) + h(x). What is the second derivative of v(o) wrt o? 192*o**2 + 90*o - 14 Let r be (-43 - -17)/((-1)/2). Find the second derivative of 9*i**3 - 33*i**3 + 175*i + 38*i**3 - 73*i + r*i**3 wrt i. 396*i Let z = -223 - -225. Differentiate 6*h**2 + 0*h**z - 36 - 5*h**2 - 22*h with respect to h. 2*h - 22 Let g(t) be the second derivative of -7*t**5/10 + 11*t**3/2 - 2699*t**2 - 19*t - 61. What is the first derivative of g(m) wrt m? -42*m**2 + 33 Suppose r = -s + 32, -2*s + 3*s = 3*r + 16. What is the second derivative of -28*f - s*f + 55*f - 20 + 45*f**2 wrt f? 90 Let r(o) = -2303*o**5 - 2132*o**2 + 7*o - 7. Let l(x) = -1154*x**5 - 1067*x**2 + 3*x - 3. Let a(y) = -7*l(y) + 3*r(y). Find the third derivative of a(q) wrt q. 70140*q**2 Let g(l) be the third derivative of -l**6/12 + 7*l**5/20 - 4855*l**3/6 - 9648*l**2. Differentiate g(n) with respect to n. -30*n**2 + 42*n Let w(u) = 5*u**2 - 6*u - 185. Let l(b) = b**2. Suppose -14 = 10*n - 4. Let i(t) = n*w(t) + 3*l(t). Find the first derivative of i(r) wrt r. -4*r + 6 Let p(b) be the second derivative of -130*b**6/3 + 103*b**2/2 - b - 479. Differentiate p(i) with respect to i. -5200*i**3 Let o(j) = -j**2 - 10*j - 7. Let d be o(-5). Suppose d = 7*z + 2*z. Differentiate -79*r**2 + 139*r**2 - 76*r**z + 14 wrt r. -32*r Let f be (-2 - 1) + (3 - -4) + -3. Find the first derivative of -f - 27*g**2 + 39*g**2 + 45*g**2 wrt g. 114*g Let h(f) = -3468*f**2 - 3395*f + 3. Let i(y) = -y**2 - 6*y + 4. Let p(m) = -2*h(m) + 2*i(m). What is the second derivative of p(u) wrt u? 13868 Let k(l) be the third derivative of -209*l**4/2 + 685*l**3 + 20*l**2 + l. What is the derivative of k(d) wrt d? -2508 Let q(x) be the third derivative of 13*x**9/24 + x**8/112 - x**5/60 - 25*x**4/24 + 29*x**3/6 + 2*x**2 + 383*x. What is the third derivative of q(w) wrt w? 32760*w**3 + 180*w**2 Suppose -t - 228 = -4*h - 5*t, 4*h + 2*t - 220 = 0. What is the second derivative of -51*w**5 - 132*w - h*w**4 + 53*w**4 - 40*w - 85*w**5 wrt w? -2720*w**3 Let h(d) = -10*d**2 - 2. Let l(i) = 19*i**2 + 278*i - 1290. Let z(c) = 2*h(c) + l(c). Differentiate z(u) with respect to u. -2*u + 278 Let z(v) be the first derivative of 3677*v**4/2 - 6074*v**3/3 + 4772. What is the third derivative of z(m) wrt m? 44124 Let l(t) = -29*t**2 + 4*t + 5. Let m(z) = -z**2. Let h be -5 - 0 - (-27)/27. Let f(b) = h*m(b) + l(b). What is the second derivative of f(q) wrt q? -50 Let l(b) = -b. Let g(p) = p**3 - 633*p**2 + 8*p - 982. Let f(o) = g(o) + 8*l(o). What is the derivative of f(n) wrt n? 3*n**2 - 1266*n Let i(s) = 5*s + 32. Let k be i(-6). What is the second derivative of -47*g**2 + 3*g**2 + 27*g + 22*g**2 - 58*g**k wrt g? -160 Let u(p) = 2542*p**2 + 837*p + 10. Let v(t) = -846*t**2 - 279*t - 3. Let d(m) = 2*u(m) + 7*v(m). What is the second derivative of d(a) wrt a? -1676 What is the derivative of 34 - 107 - 45*a**2 + 19*a**3 + 57*a**2 - 43*a**2 wrt a? 57*a**2 - 62*a Let b = -12 - -14. Find the third derivative of 2 - 3 + 7*l**3 + b*l**5 + 0*l**5 - 65*l**2 + 68*l**2 wrt l. 120*l**2 + 42 Let j(p) be the first derivative of 0*p**3 - 35 + 0*p**4 - 37*p + 0*p**2 - 54/5*p**5. Find the first derivative of j(t) wrt t. -216*t**3 Let t(s) be the first derivative of 0*s**2 - 9*s + 0*s**3 + 21 - 1/5*s**5 - 29/4*s**4. Find the first derivative of t(a) wrt a. -4*a**3 - 87*a**2 Let f be (-2*130/20)/(-5 + 3). Let u(v) be the first derivative of 15*v + 10 + f*v**2. What is the derivative of u(m) wrt m? 13 Let p(y) = -13329*y**2 - 184*y - 5389. Let o(i) = -4443*i**2 - 69*i - 1797. Let h(s) = 8*o(s) - 3*p(s). Find the first derivative of h(c) wrt c. 8886*c Find the second derivative of 659411*w - 70*w**3 - 660712*w + 1516*w**3 wrt w. 8676*w Let y(m) be the second derivative of 2033*m**3/3 + 3389*m**2/2 - 523*m + 1. Find the first derivative of y(u) wrt u. 4066 Let o(h) be the first derivative of 995*h**4 - 81*h**2 - 7*h - 2792. Find the second derivative of o(d) wrt d. 23880*d Let u(s) = 8292*s - 4381. Let p(t) = 16580*t - 8762. Let c(h) = -6*p(h) + 11*u(h). What is the first derivative of c(f) wrt f? -8268 Let j(d) be the third derivative of 0 + 0*d + 0*d**5 - 17/56*d**8 + 0*d**7 - 54*d**2 + 1/6*d**4 + 0*d**6 + 0*d**3. Find the second derivative of j(a) wrt a. -2040*a**3 Let i(y) be the second derivative of -y**6/6 + 3*y**5/20 + 758*y**2 - 1461*y. What is the derivative of i(s) wrt s? -20*s**3 + 9*s**2 Suppose 49 = 2*u - 11. Find the second derivative of 36383*k**2 - 152*k**4 - u*k - 36383*k**2 wrt k. -1824*k**2 Let o(y) = 4*y**3 - 27*y**2 - 3*y - 14. Let s = 112 + -115. Let l(a) = -a**3 + a**2 + 2. Let f(k) = s*l(k) - o(k). Find the second derivative of f(m) wrt m. -6*m + 48 Let r(m) be the third derivative of 1/30*m**6 - 1/105*m**7 + 0*m + 0*m**3 + 0 + 1/10*m**5 - 1/4*m**4 + 70*m**2. What is the third derivative of r(j) wrt j? -48*j + 24 Let i(q) be the first derivative of 835*q**6/3 - 886*q**3/3 + 1595. Find the third derivative of i(n) wrt n. 100200*n**2 Let w(m) = 1070*m + 1041. Let z(a) = -2113*a - 2081. Let i(d) = 7*w(d) + 4*z(d). What is the first derivative of i(o) wrt o? -962 Let o(n) be the third derivative of -701*n**6/120 + 1811*n**5/60 - n**3/3 - 2*n**2 + 10115. Find the third derivative of o(l) wrt l. -4206 Find the third derivative of 9038*p**2 - 224754706*p + 224754706*p + 1385*p**5 wrt p. 83100*p**2 Let f(p) be the third derivative of -29*p**7/105 + 3*p**6/20 - 73*p**5/30 + 1648*p**2. What is the third derivative of f(k) wrt k? -1392*k + 108 What is the derivative of 841 - 308 + 1207 + 6964*t**3 + 1060 wrt t? 20892*t**2 Let n(c) = -2*c + 14. Let o be n(5). Suppose -y + 4*f = -17, f = y + 4*f + o. Find the second derivative of -4*j**y + 6 - 6 - j + 22*j**5 wrt j. 360*j**3 Let r = 16 - -35. Suppose 3*j = 105 - r. What is the third derivative of -j*v**2 + 11*v**4 - 2*v**2 - 20*v**4 wrt v? -216*v What is the third derivative of 211193*j**2 - 2*j**4 - j**4 + 27*j**5 - 205754*j**2 wrt j? 1620*j**2 - 72*j Let x = 46 + -44. Suppose -5*l - 4*v = -2, 5*v + 16 = x*l + l. Find the second derivative of 40*j**2 + 17 - l*j**5 + 0*j**5 - 78*j**2 - 2*j + 36*j**2 wrt j. -40*j**3 - 4 Let d(h) be the first derivative of -10994*h**7/7 + 5897*h**3/3 - 7733. Find the third derivative of d(g) wrt g. -1319280*g**3 Let o(h) be the first derivative of 0*h + 1/5*h**5 - 59 + 0*h**2 + 1/4*h**4 - 10*h**3. Find the third derivative of o(i) wrt i. 24*i + 6 Suppose 11 = -o - o - 5*t, o + 4*t = 2. Let x = o - -23. What is the third derivative of -g**x + 19*g**2 + 25*g**5 - 10*g**2 wrt g? 1440*g**2 Suppose -2*o = -8*o - 0*o. What is the third derivative of m**6 - 24*m - 34*m**2 + o*m**6 + 24*m wrt m? 120*m**3 Suppose 32*p + 6 = 35*p - 2*i, p = -2*i + 10. Let q be (3/(-6))/(1/(-4)). Find the third derivative of 13*f**p + 6*f**q - 17*f**4 - 36*f**4 wrt f. -960*f Let x be (-158)/(-18) + (-2)/(-9). Let b(l) = -8*l - 3. Let o(c) = 8*c + 327 - 4*c - 326. Let z(n) = x*o(n) + 4*b(n). What is the derivative of z(f) wrt f? 4 Let v(s) be the second derivative of 1/2*s**2 + 0 - 11*s + 11/6*s**3. Let m(b) = -10*b - 2. Let o(z) = -5*m(z) - 6*v(z). What is the derivative of o(c) wrt c? -16 Differentiate 1102 - 893*u + 611 - 2129 wrt u. -893 Let u(n) = 26580*n + 25206. Let q(b) = 4431*b + 4202. Let f(x) = 23*q(x) - 4*u(x). Differentiate f(w) wrt w. -4407 Suppose -17*i + 45 = 3*p - 22*i, -5*p + 3*i + 91 = 0. Find the second derivative of 0*o**2 - 9*o**5 - p*o + 14*o**2 + 11*o**5 wrt o. 40*o**3 + 28 Let v(h) = -19*h + 50. Let u be v(0). Find the third derivative of 65*m**2 - 22*m**6 + u*m**6 + 3*m**6 + 13*m**6 wrt m. 5280*m**3 Suppose 72 = 4*d + 3*i, 2*d - 4*d + 36 = -4*i. Differentiate -d + p - 16 - 40 + 11 wrt p. 1 Let y be (-83)/(-2) - 4/8. What is the first derivative of 24*d**2 + 47*d + y*d - 88*d - 54 wrt d? 48*d Let o = 364 - 363. What is the second derivative of 12*k**2 - 15*k**2 + 3*k**2 + 97*k**3 - o - 61*k wrt k? 582*k Let z(r) be the third derivative of r**6/60 + 5*r**4/6 - 1247*r**3/6 + 1786*r**2. Differenti
{ "pile_set_name": "DM Mathematics" }
: 6}. 3/28 What is prob of picking 1 y and 1 h when two letters picked without replacement from {h: 9, y: 3, q: 4}? 9/40 Three letters picked without replacement from {c: 1, g: 1, t: 3}. Give prob of picking 1 t, 1 c, and 1 g. 3/10 What is prob of picking 1 k and 2 s when three letters picked without replacement from {s: 7, x: 5, k: 3, n: 1}? 9/80 Calculate prob of picking 1 z, 1 f, and 1 u when three letters picked without replacement from {m: 3, n: 5, l: 1, f: 4, u: 1, z: 1}. 4/455 What is prob of picking 2 b and 2 g when four letters picked without replacement from {g: 17, b: 2}? 2/57 Two letters picked without replacement from {h: 2, q: 1, p: 3, e: 1, j: 7}. Give prob of picking 1 q and 1 h. 2/91 What is prob of picking 2 j when two letters picked without replacement from {a: 2, j: 8}? 28/45 What is prob of picking 3 b when three letters picked without replacement from {e: 5, y: 1, t: 1, b: 5, q: 3}? 2/91 Three letters picked without replacement from npunuef. What is prob of picking 1 n, 1 f, and 1 p? 2/35 Three letters picked without replacement from dcodwdcwwcc. Give prob of picking 2 d and 1 c. 4/55 Four letters picked without replacement from {f: 3, y: 4, e: 3, o: 3, p: 4}. Give prob of picking 1 e, 1 f, 1 p, and 1 o. 27/595 Three letters picked without replacement from {a: 3, x: 4}. Give prob of picking 3 a. 1/35 Two letters picked without replacement from {o: 2, h: 4, w: 2, c: 1, z: 1}. Give prob of picking 2 h. 2/15 Two letters picked without replacement from {i: 1, u: 1, s: 1, m: 1, z: 1, t: 2}. What is prob of picking 1 m and 1 t? 2/21 Two letters picked without replacement from yjyyyjjjyuyyyyjjyy. What is prob of picking 2 y? 55/153 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from lllylflflylytly. 8/105 Four letters picked without replacement from ccccceceeccceccecec. What is prob of picking 4 e? 5/1292 Three letters picked without replacement from {x: 9}. What is prob of picking 3 x? 1 Four letters picked without replacement from cnlrnnnnnccqlljlcqj. Give prob of picking 1 l, 1 q, 1 r, and 1 n. 4/323 Calculate prob of picking 1 h, 1 s, and 1 k when three letters picked without replacement from {s: 2, h: 6, k: 4, o: 3, a: 2}. 6/85 What is prob of picking 3 t when three letters picked without replacement from {t: 6}? 1 What is prob of picking 1 x, 1 p, and 1 l when three letters picked without replacement from {p: 7, x: 4, l: 3}? 3/13 What is prob of picking 2 c, 1 h, and 1 u when four letters picked without replacement from cvlvuvdduuvdcuhcuulc? 12/1615 Two letters picked without replacement from {w: 5}. What is prob of picking 2 w? 1 Two letters picked without replacement from {w: 3, t: 1, x: 4}. Give prob of picking 2 x. 3/14 Calculate prob of picking 4 a when four letters picked without replacement from {e: 1, a: 4, v: 4, j: 7, n: 1, b: 1}. 1/3060 Four letters picked without replacement from llllllsslmm. What is prob of picking 2 m and 2 s? 1/330 Calculate prob of picking 2 l when two letters picked without replacement from {l: 4}. 1 Four letters picked without replacement from {e: 2, x: 2, m: 4, b: 3, r: 1}. What is prob of picking 2 x, 1 e, and 1 m? 8/495 Calculate prob of picking 1 z, 1 a, and 1 e when three letters picked without replacement from {z: 1, j: 1, e: 2, m: 3, q: 1, a: 4}. 2/55 Calculate prob of picking 1 v, 1 l, and 2 b when four letters picked without replacement from {v: 1, b: 2, l: 2, r: 4}. 1/63 Three letters picked without replacement from bnsddnsnmbdjsdnbb. Give prob of picking 1 j, 1 b, and 1 m. 1/170 Three letters picked without replacement from hhmmllllhlhl. What is prob of picking 1 l, 1 h, and 1 m? 12/55 Calculate prob of picking 1 a and 3 w when four letters picked without replacement from {a: 6, w: 10, v: 2}. 4/17 Four letters picked without replacement from evcvvuevuuvue. Give prob of picking 1 e, 1 v, and 2 u. 18/143 Three letters picked without replacement from ahhhhhah. What is prob of picking 3 h? 5/14 Four letters picked without replacement from xmxxxexxxxexxxxex. What is prob of picking 4 x? 143/476 Four letters picked without replacement from aaaaaaaaa. What is prob of picking 4 a? 1 Calculate prob of picking 2 r and 2 s when four letters picked without replacement from rrlosoozrzlszolo. 3/1820 Four letters picked without replacement from fossllslss. What is prob of picking 1 f, 1 l, and 2 s? 1/7 Four letters picked without replacement from ddwdwvwwwdw. Give prob of picking 4 w. 1/22 Calculate prob of picking 1 k, 1 m, and 1 d when three letters picked without replacement from {w: 2, k: 4, m: 3, d: 2}. 8/55 Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, r: 1}. 1/4 Three letters picked without replacement from {r: 2, d: 2, j: 7}. Give prob of picking 3 j. 7/33 What is prob of picking 1 s and 2 a when three letters picked without replacement from {a: 12, s: 1}? 3/13 What is prob of picking 1 w and 2 c when three letters picked without replacement from nnncnncwcnnccnccccc? 15/323 Three letters picked without replacement from {h: 1, r: 2, y: 1, l: 2}. What is prob of picking 2 r and 1 y? 1/20 What is prob of picking 3 b when three letters picked without replacement from {s: 3, b: 4}? 4/35 Four letters picked without replacement from yvjvyvjyjc. Give prob of picking 3 j and 1 y. 1/70 Calculate prob of picking 1 h and 1 z when two letters picked without replacement from qhvvzh. 2/15 Two letters picked without replacement from nwnnuununnnnnnnnn. Give prob of picking 1 w and 1 n. 13/136 Two letters picked without replacement from {c: 3, q: 1, f: 1, p: 3, n: 2, l: 5}. Give prob of picking 1 c and 1 q. 1/35 Three letters picked without replacement from pppppfpfopoffopff. Give prob of picking 2 o and 1 f. 9/340 Calculate prob of picking 1 g, 1 h, and 1 z when three letters picked without replacement from tglttthllzh. 2/165 Four letters picked without replacement from syyyysys. What is prob of picking 3 s and 1 y? 1/14 Calculate prob of picking 2 a when two letters picked without replacement from {s: 3, a: 3, d: 1, r: 1, j: 2, p: 1}. 3/55 Three letters picked without replacement from {s: 1, i: 2, q: 7, x: 2, h: 6, w: 1}. Give prob of picking 1 h and 2 q. 42/323 What is prob of picking 2 f and 1 b when three letters picked without replacement from gfgfbffgfgfghfggg? 21/680 Calculate prob of picking 1 f, 1 y, and 1 k when three letters picked without replacement from {k: 1, g: 2, f: 2, a: 1, y: 1}. 2/35 Two letters picked without replacement from kfeeftfvtevvvvvke. What is prob of picking 1 v and 1 t? 3/34 Two letters picked without replacement from jjjjjpp. Give prob of picking 2 p. 1/21 Two letters picked without replacement from vnmbvbvv. Give prob of picking 2 b. 1/28 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {f: 2, l: 9, i: 2, k: 1}. 18/91 What is prob of picking 1 x and 2 k when three letters picked without replacement from xkkkxnxxxkkxdxnn? 1/8 Two letters picked without replacement from {f: 1, u: 2, p: 2, e: 1, q: 1, v: 1}. What is prob of picking 2 u? 1/28 Four letters picked without replacement from {b: 9, y: 10}. Give prob of picking 4 b. 21/646 Three letters picked without replacement from tutsdjju. Give prob of picking 1 t, 1 u, and 1 d. 1/14 Two letters picked without replacement from {c: 1, b: 2, w: 2, s: 1}. Give prob of picking 2 b. 1/15 Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {q: 1, j: 1, u: 1, d: 2}. 0 What is prob of picking 1 i and 1 b when two letters picked without replacement from bgqxjqqgjixi? 1/33 Two letters picked without replacement from {r: 2, v: 2}. Give prob of picking 2 r. 1/6 What is prob of picking 1 s and 1 z when two letters picked without replacement from sszsttttttstssz? 4/35 Two letters picked without replacement from joozozooooojzojj. What is prob of picking 2 z? 1/40 Calculate prob of picking 2 d and 1 j when three letters picked without replacement from jdddx. 3/10 Four letters picked without replacement from qqqqhqqqqqqqqhhqqqqh. Give prob of picking 2 h and 2 q. 48/323 Calculate prob of picking 4 l when four letters picked without replacement from iiiiiilillliiiiiiiil. 1/969 What is pr
{ "pile_set_name": "DM Mathematics" }
*w. Let c be (-2 - 2/(-2))*0. Let b be s(c). Factor 1/5*a + 1/5*a**4 - 1/5*a**3 + b - 1/5*a**2. a*(a - 1)**2*(a + 1)/5 Let o(b) be the second derivative of 0*b**2 - 2/105*b**6 + 0 + 1/35*b**5 + 0*b**3 + 2/21*b**4 + 17*b. Factor o(w). -4*w**2*(w - 2)*(w + 1)/7 Let g(i) = 4*i**3 - 26*i**2 + 8*i + 23. Let a(w) = 11*w**3 - 77*w**2 + 21*w + 69. Let y(r) = 3*a(r) - 8*g(r). Factor y(z). (z - 23)*(z - 1)*(z + 1) Let h be (10/18)/((-9)/(-27)*1). Let h*r**3 - 5/6*r - 5/6*r**2 + 0 = 0. Calculate r. -1/2, 0, 1 Let t = -212 - 151. Let x = -2535/7 - t. Factor -x*v + 2/7*v**2 + 0. 2*v*(v - 3)/7 Let t(k) be the first derivative of 3/16*k**2 - 15 + 1/24*k**3 + 0*k. Suppose t(w) = 0. What is w? -3, 0 Let y(p) = -11*p + 83. Let a(f) = 2*f - 14. Let d(q) = -39*a(q) - 6*y(q). Let g be d(4). Let 2/3*w + g*w**3 + 0 - 4/3*w**4 + 4/3*w**2 - 2/3*w**5 = 0. What is w? -1, 0, 1 Let 1/2*t**4 - 30*t + 3*t**3 - 11/2*t**2 + 50 = 0. What is t? -5, 2 Let z(p) be the third derivative of p**6/300 - p**5/50 - p**4/60 + p**3/5 - 407*p**2. Factor z(q). 2*(q - 3)*(q - 1)*(q + 1)/5 Let n(k) = -5*k**4 + 36*k**2 + 8. Let a(o) = -o**3 + o**2 - 2*o - 1. Let g(j) = 40*a(j) + 5*n(j). Solve g(w) = 0 for w. -4, 0, 2/5, 2 Let b(r) be the second derivative of 3/2*r**4 + 0 + 10*r + 2/3*r**3 + 0*r**2. Suppose b(i) = 0. What is i? -2/9, 0 Let f(x) be the third derivative of -x**7/1260 + x**6/72 - x**5/10 + 7*x**4/12 + 5*x**2. Let l(s) be the second derivative of f(s). Factor l(u). -2*(u - 3)*(u - 2) Let g be -10 - (-11 - -4) - (-1 - 22). Suppose 2*n - 10 = m, n - m - 27 = -g. Suppose 8/9*f - 4/9*f**n - 4/9*f**5 + 8/9*f**2 + 2/9 - 10/9*f**4 = 0. Calculate f. -1, -1/2, 1 Let p(j) be the third derivative of j**7/70 + 3*j**6/80 - j**5/10 - 3*j**4/16 + j**3/2 - 23*j**2. Determine a so that p(a) = 0. -2, -1, 1/2, 1 Let l = 55685/3 - 18557. Factor 2/3*f**2 + 4 - l*f. 2*(f - 6)*(f - 1)/3 Let v = -777 - -779. Factor 0*r**v + 3/4*r - 1/4*r**3 + 1/2. -(r - 2)*(r + 1)**2/4 Factor -26 + 34*p - 66*p + 4*p**2 - 10. 4*(p - 9)*(p + 1) Let n be (5 + 110/(-20))/((-1)/8). Factor -64/21*h - 32/21 + 2/3*h**n - 80/21*h**3 + 48/7*h**2. 2*(h - 2)**3*(7*h + 2)/21 Let z(c) = 7*c**5 + 35*c**4 - 135*c**3 + 278*c**2 - 281*c + 105. Let f(l) = l**5 + l**4 - l**3 - l + 1. Let v(p) = 18*f(p) - 2*z(p). Solve v(a) = 0. 1, 3, 4 Let f(a) be the second derivative of a**5/50 + 2*a**4/5 - a**3 - 26*a**2/5 - a - 54. Factor f(v). 2*(v - 2)*(v + 1)*(v + 13)/5 Let k = 1/2399 - -52763/35985. Let c = k + -4/5. Factor -1/6*n**3 - c*n**2 - 1/2*n + 0. -n*(n + 1)*(n + 3)/6 Let p(m) be the first derivative of 0*m + 15/4*m**4 - 5/3*m**3 - 5/6*m**6 + m**5 + 34 - 5*m**2. Determine z so that p(z) = 0. -1, 0, 1, 2 Let f(j) be the first derivative of -4*j**3/3 - 12*j**2 - 20*j + 6. Suppose f(s) = 0. What is s? -5, -1 Factor -7/3*u**3 - 1/3*u**4 + 0 - 11/3*u**2 - 5/3*u. -u*(u + 1)**2*(u + 5)/3 Let q(f) be the first derivative of -28*f**2 - 4 - 4/3*f**3 + 16*f + 7/2*f**4. Find d such that q(d) = 0. -2, 2/7, 2 Let j(m) be the third derivative of 9/40*m**6 + 0*m**3 + 5/112*m**8 + 1/20*m**5 + 8*m**2 - 1/4*m**4 - 13/70*m**7 + 0 + 0*m. Factor j(a). 3*a*(a - 1)**3*(5*a + 2) Let m(r) be the first derivative of r**9/3024 + r**8/840 + r**7/840 - 11*r**3/3 + 11. Let k(n) be the third derivative of m(n). Factor k(j). j**3*(j + 1)**2 Let y(b) = -b - 12. Let h be y(15). Let c be h/(-60) - 1/5. Solve -3/4*p**4 - c*p**5 + 0*p - 1/4*p**2 - 3/4*p**3 + 0 = 0 for p. -1, 0 Find u, given that 7*u - 2*u + 0*u**3 - 5*u**3 - 16*u**2 + u**2 + 15 = 0. -3, -1, 1 Suppose -3*u = 3*i - 28821, -i = -u - 5008 - 4593. Factor -6036*s**3 - i*s**4 - 4 - 507*s**2 - 112*s - 669*s**2 + 548*s**3. -4*(7*s + 1)**4 Let x(z) be the first derivative of -z**3 + 15*z**2 - 48*z - 235. Determine d so that x(d) = 0. 2, 8 Let z be -9 + (-28)/(-3) - 3/9. Let h(y) be the second derivative of 0 + z*y**4 - 1/5*y**2 - y + 1/25*y**5 - 2/15*y**3 + 1/75*y**6. Let h(t) = 0. What is t? -1, 1 Let q be (-20)/(-30) + -10*(-3)/9. Suppose -p - 3*s + 13 = 0, -p + 2*p - q*s + 15 = 0. Factor -1/3*c**2 - p - 4/3*c. -(c + 1)*(c + 3)/3 Let c(p) be the third derivative of -p**6/330 - 3*p**5/110 - p**4/33 + 79*p**2. Factor c(j). -2*j*(j + 4)*(2*j + 1)/11 Suppose 1/4*u**3 - 9/4 + 5/4*u**2 + 3/4*u = 0. Calculate u. -3, 1 Determine l, given that 40*l**3 - 627*l**2 - l**4 + 6*l**4 + 587*l**2 + 720 - 480*l = 0. -6, 2 Factor -16/5*o**3 - 2/5*o**5 + 2*o**4 + 0*o + 8/5*o**2 + 0. -2*o**2*(o - 2)**2*(o - 1)/5 Let v = 32618 - 32618. Factor -4/15*c - 2/15*c**2 + 2/15*c**3 + v. 2*c*(c - 2)*(c + 1)/15 Let c(y) be the first derivative of 1/6*y**4 - 4/3*y**2 + 16 - 20/27*y**3 + 4/45*y**5 + 16/9*y. Solve c(j) = 0 for j. -2, 1/2, 2 Let o(l) = 9*l**2 + 126*l + 128. Let f(b) = 3*b**2 + 42*b + 43. Let k(p) = 11*f(p) - 4*o(p). Factor k(n). -3*(n + 1)*(n + 13) Let b(d) be the third derivative of -d**5/60 - 17*d**4/6 + 658*d**2. Factor b(m). -m*(m + 68) Factor 0 - 1/6*l**3 + 0*l + 29/6*l**2. -l**2*(l - 29)/6 Let x = -7 + 16. Suppose -q + 0*q + x = 0. Let 6*m**4 - q*m**2 + 10 - 8 + 1 + 3*m - 3*m**3 = 0. What is m? -1, -1/2, 1 Let c be (690/40 - 15) + (-98)/72. Find u, given that 8/9*u**3 - 4/9*u**5 + c*u**2 - 4/9*u - 4/9*u**4 - 4/9 = 0. -1, 1 Let x(u) = u + 14. Let d be x(-13). Suppose a + d = 4. Factor -4*s + 2*s**2 + 4*s**a - s**2 - 3*s**2 + 2. 2*(s - 1)*(s + 1)*(2*s - 1) Let d(x) be the third derivative of -3*x**5/20 - 469*x**4/8 - 78*x**3 - 3*x**2 + 167. Factor d(t). -3*(t + 156)*(3*t + 1) Let y(v) be the first derivative of -2*v**3/9 + 38*v**2/3 - 74*v/3 - 153. Factor y(l). -2*(l - 37)*(l - 1)/3 Let o(g) = 12*g**4 - 4*g**3 - 20*g**2. Let w(j) = -j**5 + 24*j**4 - 7*j**3 - 39*j**2. Let i(m) = -7*o(m) + 4*w(m). Factor i(c). -4*c**2*(c - 2)**2*(c + 1) Let k(a) = 157*a + 944. Let m be k(-6). Factor 6/5*f + 6/5*f**m + 2/5*f**3 + 2/5. 2*(f + 1)**3/5 Let x(v) be the second derivative of 3*v + 1/20*v**5 + 1/6*v**4 - 1/6*v**3 + 0 - 1/4*v**2 - 1/20*v**6. Determine p so that x(p) = 0. -1, -1/3, 1 Let y(c) be the third derivative of -c**7/8820 + c**6/630 + c**5/84 + 9*c**4/8 - 17*c**2. Let x(a) be the second derivative of y(a). Factor x(q). -2*(q - 5)*(q + 1)/7 Let f(q) = q**4. Let i(l) = 18*l**4 + 20*l**3 - 12*l**2 - 20*l - 4. Suppose -2*o = -5*z + 8, 0 = o + 2*z - 2 - 3. Let x(v) = o*i(v) - 2*f(v). Factor x(c). 4*(c - 1)*(c + 1)**2*(4*c + 1) Suppose 4*l + 11 = 19. Factor -22*m**2 + 51*m**2 + 1 - l*m - 28*m**2. (m - 1)**2 Let p(v) be the third derivative of -v**8/120960 + 7*v**5/30 + 4*v**2. Let j(x) be the third derivative of p(x). Factor j(y). -y**2/6 Let p(v) be the second derivative of 1/7*v**2 - 42*v + 1/7*v**4 + 1/105*v**6 - 2/35*v**5 - 4/21*v**3 + 0. Solve p(a) = 0 for a. 1 Let o(p) be the first derivative of 3/2*p**2 + 3/4*p**4 + 15 + 2*p**3 + 0*p. What is u in o(u) = 0? -1, 0 Let y(k) be the first derivative of -k**3/12 - 11*k**2/2 - 121*k + 55. Factor y(i). -(i + 22)**2/4 Let o(z) be the first derivative of 6/7*z**2 - 6/7*z - 2/7*z**3 - 2. Factor o(n). -6*(n - 1)**2/7 Let t = -63 - -96. Let p = t + -23. Let 8*x - 4*x**2 - p*x + 0*x**3 - 2*x**3 = 0. Calculate x. -1, 0 Let o = 159172/45 - 3537. Let u(i) be the second derivative of -5*i + 1/30*i**5 + 1/10*i**4 + 2/15*i**2 + o*i**3 + 1/225*i**6 + 0. Factor u(m). 2*(m + 1)**3*(m + 2)/15 Let x be (-104)/(-48) - (-1)/(-6). Let q be -8*1/(-6 + x). Find y, given that 2*y**q - 3*y**2 - 3 - 1 - 8*y - 2*y**2 = 0. -2, -2/3 Let u be 1/3 - 1/(-6). Let f be 66/462*(-1 - -1). Factor f - 1/2*g**2 - u*g. -g*(g + 1)/2 Factor 4055 - 36*n**4 - 36052*n**2 - 1961*n**3 - 367*n**3 - 21479 + 51216*n. -4*(n + 33)**2*(3*n - 2)**2 Let r(t) be the first derivative of 0*t - 4*t**2 - 9/5*t**5 - 15/2*t**4 - 28/3*t**3 - 32. Factor r(o). -o*(o + 2)*(3*o + 2)**2 Let g(u) = -9*u**3 - 30*u**2 + 148*u - 109. Let i(o) = 10*o**3 + 28*o**2 - 148*o + 110. Let p(x) = -6*g(x) - 5*i(x). Suppose p(a) = 0. What is a? -13, 1, 2 Suppose -8/5*l**2 - 16/5*l + 2*l**4 + 0 + 2/5*l**5 + 12/5*l**3 = 0. Calculate l. -2, 0, 1 Let a(i) be the second derivative of -i**6/75 + 3*i**5/50 + 3*i**4/5 + 4*i**3/15 - 24*i**2/5 + 85*i. Suppose a(n) = 0. Calculate n. -2, 1, 6 Suppose 8*h = 11 - 11. Let i(t) be the third derivative of 1/52*t**4 + 2/39*t**3 + 2*t**2 + 0*t + 1/390*t**5 + h. Find n, given that i(n) = 0. -2, -1 Let z(c) be the first derivative of -5*c**6
{ "pile_set_name": "DM Mathematics" }
= 296 - 290. What is the third smallest value in -0.1, b, -0.2? b Let r(y) = y**2 + 7*y + 3. Let u be r(-6). Let p be 321/(-749) - (22/84)/(-1). What is the smallest value in p, u, 0.3? u Let d = 463/4 - 116. What is the smallest value in 2, 0, d? d Let l = -196.3 - -193. Let d = 0.22 + 1.08. Let x = d + l. What is the third smallest value in x, -1, -3? -1 Let p = 0.05 + -4.05. Let u(y) = -y**3 + 20*y**2 + 2*y - 32. Let d be u(20). Which is the second smallest value? (a) 4 (b) d (c) p a Let x(n) = n + 18. Let g be x(-16). Suppose 40 = 4*p + 2*b, g*p + b + 12 = 4*p. What is the biggest value in -0.4, -0.3, p? p Let x = 594 - 599.57. Let p = 5.7 + x. What is the second smallest value in -2, -2/3, p, -4? -2 Suppose 0*m = -m + 3. Suppose 6 = -i + 2*w - 15, m*w = i + 25. Let y = -16 - i. Which is the third biggest value? (a) -1/8 (b) y (c) -0.4 b Let q = -1.28 + -1.72. Let a be 2*(-2)/(-8)*1. What is the third smallest value in -0.5, q, a? a Let f = 18292/11763 - -2/3921. What is the biggest value in 1/7, 5/6, -3/4, f? f Let f = 1.11 - 1.61. Let l be 1 - 5/(1*(1 + 0)). Which is the third biggest value? (a) -11 (b) l (c) -2/3 (d) f b Let s = -16.5 - -2.5. What is the second smallest value in s, 2, 0.3, 1? 0.3 Let q = 16 + -16.07. Let o = -35 - -40. Suppose -o*i - 2 + 17 = 0. Which is the smallest value? (a) i (b) q (c) -3 c Let j = -9/41 - -127/205. What is the biggest value in 0.2, -0.11, j? j Let i(u) = -6*u + 81. Let o be i(19). Let r be (12/(-32)*18)/(o/(-8)). What is the biggest value in 3, r, 0? 3 Suppose -3*d + 0 = -15. Let l = 267.3 - 221. Let o = 46 - l. Which is the second smallest value? (a) d (b) o (c) -1/9 c Let f be (-2)/((-56)/3404) - (0 + -3). Let x = f - 125. What is the smallest value in 0.02, x, -1/2, -2/9? -1/2 Let f = -11/690 + -95647/2070. Let k = f + 46. Let y = 14 + -25. Which is the second smallest value? (a) k (b) -2/11 (c) y a Let m = -98 + 880/9. Let w = 3117 + -3116.91. Which is the third biggest value? (a) w (b) m (c) 1 b Let i = 71 - 70.5. Let s = 0 + i. What is the biggest value in -5, 0.1, s? s Let k = -42 + -4.2. Let y = -46 - k. What is the smallest value in y, -1/6, -1/3? -1/3 Let c = -518.4 - -518. What is the third biggest value in -3/4, -4.6, c, 0.4? -3/4 Let w = 351/7 - 50. Let g = 73.1 + -76.1. Which is the smallest value? (a) w (b) -0.4 (c) g c Let j = 3 + -3.1. Let l(z) = -2*z + 6. Let m be l(4). Let a be (14/4)/(-7)*m. What is the biggest value in j, a, -2? a Let b = 3 - -1. Let s = 0.3 + -0.33. Let i = -2.03 - s. What is the third biggest value in -4, i, b? -4 Suppose -3*m - 5 + 41 = 0. Suppose f - 5*f = -m. Let l = -5263.4 - -5263.1. Which is the biggest value? (a) -5 (b) f (c) l b Let b = -1240 - -1238.1. What is the biggest value in -5, 2, b, 0? 2 Let u = -804.6 - -805. What is the fourth smallest value in u, -1, -100, -0.01? u Let t = -1 + 1. Let g = -8.5 - -2. Let i = g + 7. Which is the second biggest value? (a) t (b) 10 (c) i c Let u = 22.37 + 0.13. Let q = -25 + u. Let g = q - -2.3. Which is the third smallest value? (a) g (b) 0.1 (c) -4 b Let y = 1729 + -15563/9. Which is the third smallest value? (a) 2/3 (b) -2/55 (c) y a Let k(f) = -f**2 - 5*f + 7. Let u be k(-5). Suppose -12*j + u*j = 130. Let q = j + 22. Which is the second biggest value? (a) 2 (b) -5 (c) q c Let o = 6 - -10. Suppose -o = 2*p - 64. Suppose -k - 16 = -3*n, 0 = 5*k - 4 + p. What is the second smallest value in n, -5, 2? 2 Let o = -2882 + 2878. Let f = 0 + 0.01. Which is the fourth smallest value? (a) -2/5 (b) -4/5 (c) o (d) f d Let s = 4.69 - 4.29. Which is the third smallest value? (a) s (b) -4/9 (c) 0 (d) -2/3 c Let m = 0.35 - 0.85. What is the biggest value in m, -3/32, 2? 2 Let f = 16.2 + -15.2. Which is the third smallest value? (a) 4 (b) 0.2 (c) f (d) -5 c Let r = 49 + -49.4. Let l = 7.7 + -6. Let g = 1.3 + l. What is the third biggest value in g, 3/11, r? r Let r = 1/242 + 475/2178. What is the fourth biggest value in 3, r, -0.3, -5? -5 Let o = -469.4 + 314. Let g = o + 148.59. Let n = -7 - g. Which is the third smallest value? (a) -0.4 (b) 4 (c) n b Let n = 1109/7 - 159. Let y = 2.92 + 0.08. Which is the second biggest value? (a) y (b) -5/4 (c) n c Let f = -45.25 + 46.85. Let k be (1/4 - -1)*-4. What is the biggest value in -0.1, k, -2/13, f? f Let w = -3.0925 + -0.0175. Let u = -0.01 - w. Let h = u - 2.7. Which is the third smallest value? (a) -3 (b) h (c) 3 c Let k = 12 - 37/3. Let y = -1.1 - -4.1. Let o = y - 2. What is the second biggest value in -3, o, k? k Let t = -20.3 + 20. Let v = -4.7 + t. What is the second smallest value in 1/4, -0.1, v? -0.1 Let s = 228 - 231. What is the second smallest value in -0.1, s, -1, 27? -1 Let r = -53/52 + 10/13. Let u = 10 - 21. Let p = 11.9 + u. What is the third smallest value in -3/8, r, p? p Let w = 2.6 + -3. Let h = w + 0.8. What is the biggest value in h, 2, 4? 4 Let l = -2705 + 2704. What is the second biggest value in 2/5, 2, l, 10.9? 2 Let h = 58.9 - 79. Let p = h + 20. What is the second smallest value in -2/33, p, 0? -2/33 Let j be (-4 + 2 + 0)/(-1). Suppose j*n + 3*y = -59, 2*n + 4*y = -n - 88. Let u be (-8)/n + 48/28. What is the smallest value in 0.04, 0, u? 0 Let m = -25 - -7. Let d = 23.6 + -41.9. Let v = m - d. What is the third smallest value in 0, v, 1/5? v Let x = 402 + -1189/3. What is the fourth biggest value in -1/5, 8, x, 4? -1/5 Suppose -18*h = -4*b - 20*h - 20, 0 = -2*b + 4*h. What is the fourth smallest value in 4, -0.4, -0.03, b? 4 Let n(t) = t**3 - 11*t**2 - 12*t + 5. Suppose 0 = k - 3, 7 = 2*j + k - 20. Let x be n(j). Which is the third biggest value? (a) 0 (b) -3 (c) 2/3 (d) x a Let z be 9/7 - (-2)/(-7). Let f = 4.43 + 0.47. Let j = f - 1.9. Which is the smallest value? (a) z (b) j (c) 0.3 c Let t = -579 - -583. Which is the second biggest value? (a) 3 (b) -19 (c) t (d) 0.4 a Let w be ((16/12)/1)/10. Let z = 93 + -92. Which is the third biggest value? (a) 4 (b) 0.1 (c) z (d) w d Let h be (15 - 9 - 29/5) + 12/20. Let m be (-5)/(-5)*1/2. What is the third smallest value in m, h, -2/7? h Let i = -186 - -178. Which is the second biggest value? (a) -3 (b) i (c) 9 (d) -1/5 d Let d = -131 - -1701/13. What is the fourth biggest value in -5, 3, d, -3? -5 Let z = -0.2 + -0.8. Let r = z - -8. Let d = -79/4 - -39/2. Which is the second biggest value? (a) r (b) d (c) -2 b Let b = 1/11 + 51/44. Let g = -19/12 + b. What is the biggest value in g, -3/5, 11/5? 11/5 Let k = -4 - -1. Let a = -3.06 - k. Let o = -0.1 - -0.6. What is the third smallest value in o, a, 0? o Let q = -32 - -65/2. Let w = 8.4 - 8. Let v = -1.6 - w. What is the third smallest value in q, 4/7, v? 4/7 Let t(r) = -3*r**2 - 101*r - 58. Let u be t(-33). Let l = -2 + 1. Which is the third smallest value? (a) 1 (b) u (c) l b Let l = 0 - -0.4. Let x = 51.6 - 51.1. What is the second biggest value in -2/13, l, x, -0.3? l Let k = 8.49 + -8.41. Which is the second smallest value? (a) -8 (b) k (c) -0.1 c Let u(p) = 4*p**3 + 2*p**2 - 1. Let w be (-4)/(-10) + (-7)/5. Let s be u(w). Let n be s/(-15) - (-3)/(-90). What is the biggest value in n, -3/7, -0.5? n Let u be (-5)/((-20)/7)*(-1)/(-7). What is the fourth smallest value in 2, -1, -0.5, u? 2 Let x = 78 + -79. Which is the fourth biggest value? (a) 1 (b) 0.1 (c) x (d) -12 d Let s = -480 - -479.7. Which is the biggest value? (a) 0.0417 (b) s (c) -1 a Let d = 136.1 - 137. Let n = 17.3 - 17. Which is the third smallest value? (a) d (b) n (c) -0.2 b Suppose -5*r - 30 = -0*r. Let n = 707/964 - -4/241. What is the fourth smallest value in 0.2, r, n, -1/5? n Let s = 1509 - 1492. What is the biggest value in -0.04, 0.5, s, 0.4? s Let s = -89 + 101. Suppose -4*g = -8, 5*m + 5*g + 2 = s. What is the third biggest value in 0.5, 1/3, -5, m? m Let w be (130/(-45) - -3)/(19/(513/(-18))). Let b be (-2 - 1)*(-6)/(-27). What is the second biggest value in w, 5/2, b? w Let s = 11 - 15. Let l be (-4 - s - -1)*2. Suppose 4*p - 26 = -l*h, -3 = -3*p + 3*h + 3. Which is the second smallest value? (a) -0.14 (b) 1/3 (c) p b Let u = -886 - -886.3. Which is the second biggest value? (a) 4 (b) 5 (c) u (d) -3/7 a Let y = -3.94 + -0.06. Let k = -18061/2 + 9031. What is the b
{ "pile_set_name": "DM Mathematics" }
+ 13 - y**2 + 2*y**2 - 3. Suppose -28*b - 250 - 58 = 0. Is 13 a factor of d(b)? False Is 2 + 1 - (0 - 237) a multiple of 12? True Suppose 5*f - 3*j + 7*j = 125, -4*f - j = -89. Is f even? False Let n be (6 + -3)*4/6. Let m be n + -1 - (-208 - -1). Is m/6 - (-3)/9 a multiple of 16? False Does 53 divide 2/4 - (5944/(-16) - -1)? True Let z = 22 + 1. Let m = z - 20. Suppose 3*t = 3*f - f + 156, -m*t = -f - 153. Is t a multiple of 12? False Let d(w) be the third derivative of -w**5/60 + w**4/8 - w**3/3 + 6*w**2. Let u be d(2). Suppose -t - 3*t + 216 = 4*r, -2*t - 3*r + 105 = u. Is 16 a factor of t? False Suppose 144*a + 648 = 153*a. Is 18 a factor of a? True Let o = -2 + -12. Let p = o + 8. Let x(q) = -12*q - 6. Does 33 divide x(p)? True Suppose -p + 1285 = 4*f - 1023, 1716 = 3*f - 3*p. Is f a multiple of 35? False Suppose -30 = 7*b + 26. Is 37 a factor of (-37)/((4/b)/((-1)/(-2)))? True Let r be 46/92 + (-1 - (-669)/2). Let i = r - 201. Does 19 divide i? True Let f(j) = -8*j**2 - j - 3*j + 8*j**2 + 8*j**2 - 5*j**2. Let y(w) = w**2 - 5*w - 1. Let x be y(6). Is f(x) a multiple of 11? True Let u = 2626 - 1662. Does 15 divide u? False Let y(g) be the third derivative of -g**9/1440 + 2*g**5/15 + 8*g**2. Let i(z) be the third derivative of y(z). Does 9 divide i(-1)? False Let v = 2051 - 1419. Is v a multiple of 51? False Is ((-5)/15)/(3/(-34533)) a multiple of 22? False Suppose -110*z - 840 = -120*z. Is z a multiple of 7? True Suppose 5*i - 2*i = -4*f + 12, 0 = -5*i + 4*f + 20. Suppose -i = 2*o - 4*o. Suppose 0 = o*l - 0*l - 116. Is l a multiple of 21? False Let z(v) = -v**2 - 6*v - 17. Let x(t) = t**3 - 3*t**2 - 12*t. Let m be x(5). Let i be z(m). Let o = 92 + i. Does 19 divide o? False Suppose s - 3*s - 12 = 0. Let f = 18 + s. Does 12 divide f? True Suppose -2*j + 2396 = 3*x - 6*j, -4*j - 3980 = -5*x. Does 8 divide x? True Let i(r) = 29*r**2 + 63*r - 4. Is 21 a factor of i(5)? False Let x = -45 - -52. Suppose x*n - 261 = 649. Is n a multiple of 16? False Suppose -2*k + o = -5*k - 4, -k + o = 0. Let t(u) = -u**3 - 6*u**2 - u - 7. Let a be t(-6). Is 58 + (k - a) + 2 a multiple of 24? False Suppose 5*k = 386 + 299. Suppose k + 108 = -5*g. Is g/(4/(-4)*1) a multiple of 20? False Let u(h) = 39*h**2 + 6*h + 3. Let z be u(-3). Suppose 4*v = -3*w - w + z, 3*w = -v + 78. Does 29 divide v? True Let g = -8 - -30. Suppose 5*x + 2*r - 34 = 0, -x + 2*r = -4*x + g. Let i = 7 + x. Is 5 a factor of i? False Suppose -4*l - 697 = -z + 463, 2*z - 2*l - 2344 = 0. Is z a multiple of 56? True Suppose 2*w + 62 = -4*t, 5*w = 3*t + 64 - 24. Let n = t - -10. Does 19 divide (n - -1)*(-38)/4? True Suppose 3*m - 5*v = 97 + 573, 895 = 4*m - 5*v. Suppose -m + 87 = -6*q. Does 15 divide q? False Let r be 0/(((-6)/1)/3). Suppose 0*x = -x - 2*i + 22, -i - 24 = -2*x. Is x/(-7) - (r + -41) a multiple of 11? False Let f = 14 - 10. Suppose 12 = -0*n + f*n, -v - 3*n = -97. Is 11 a factor of v? True Suppose -5*l + 32 = -3*g + 6*g, -3*l + 2*g = -4. Does 4 divide (l/10 + 2)*5? True Does 12 divide (2/(-4))/(5/(-120))? True Let s = 560 - 436. Is 4 a factor of s? True Let c(i) = i**3 - 18*i**2 + 50*i + 23. Is c(15) a multiple of 33? False Suppose 1607 - 407 = 8*x. Is 7 a factor of x? False Suppose 1084 = -3*w + 5*k, 5*w + 3*k = k - 1817. Let i = w - -535. Is i a multiple of 28? False Let o(z) be the third derivative of z**6/120 + 5*z**5/12 - z**4/8 + 4*z**3/3 + 41*z**2. Does 12 divide o(-25)? False Suppose 0 = 4*i - 0*i + 280. Let j = i + 146. Is 28 a factor of j? False Does 4 divide 6/10 + -3 + 1461/15? False Let b(c) = 2*c**2 - c + 1. Let m be b(2). Let a = m - 15. Let i(t) = t**2 + 2*t + 1. Is i(a) a multiple of 13? False Let t be (-286)/4 + (-9)/6. Let g = 52 + t. Let m = 25 + g. Does 3 divide m? False Let d(f) = 136*f - 3. Let l(u) = u**3 + 4*u**2 - 2*u - 7. Let c be l(-4). Does 14 divide d(c)? False Let z(v) = -6*v**3 + 20*v**2 - 32*v. Let c(l) = l**3 - l + 1. Let h(q) = -5*c(q) - z(q). Is 7 a factor of h(18)? False Let m(a) = 11*a - 2. Let f = 16 - 13. Let g be m(f). Is (g*1)/(1 - 0) a multiple of 5? False Let t(j) = -j**2 - 12*j + 1. Let x be t(-11). Suppose -3*c - 2*c = -10. Let r = x - c. Is r a multiple of 10? True Does 14 divide 5/(-13 - -8) - -188? False Let x = -4 - -7. Suppose -3*w - 75 = x*f, 4*f = w - 2*w - 40. Does 18 divide -10*2/w*18? True Let d = -118 + 127. Let x(h) = -h**2 + 9*h + 19. Is x(d) a multiple of 10? False Suppose -46 = 5*h + 3*y, 18 = 4*h + 2*y + 56. Let l = 13 + h. Suppose -l = -c + 4. Is c a multiple of 3? True Let t(n) = n**2 + 15*n - 14. Is t(-33) a multiple of 58? True Let x = -388 - -256. Let a be 3*(x/(-9))/(-4). Let d = a - -55. Is d a multiple of 11? True Let q be 24332/70 + 3/(-5). Suppose 65 = 2*u - q. Does 9 divide u? False Let k = 46 - 8. Suppose -f - 4*c = 8, -f + 0*c = -2*c + k. Does 3 divide (-7)/(f/16)*1? False Let u(b) = b**3 + 22*b**2 - b - 14. Let w be u(-22). Let i(x) = x**3 - 6*x**2 - 13*x + 19. Is 43 a factor of i(w)? True Suppose -3*v + 4*p + 0 + 4 = 0, -2*p + 4 = 0. Suppose -513 = -v*m - 3*n, 2*n + n - 384 = -3*m. Is m a multiple of 27? False Is 55/(3/(-18) + 1/2) a multiple of 64? False Let l = 305 + -215. Does 4 divide l? False Suppose b - 525 = 5*o, 5*b = 4*o + 552 + 2178. Let z = b + -325. Is 25 a factor of z? True Let s(j) = j - 5. Let m be s(-6). Let v(w) = w**3 + 12*w**2 + 2*w + 2. Does 20 divide v(m)? False Let a = -348 + 501. Let k be 0 + (0 - -2) + (-355)/5. Let u = k + a. Is u a multiple of 14? True Let v = -95 - -451. Is 37 a factor of v? False Is (-48092)/(-154) - (0 - (-2)/7) a multiple of 8? True Suppose 4*v = -9 + 53. Let i = v - -6. Is 4 a factor of i? False Let f = 14 + -20. Let j be (24/10)/(f/(-45)). Is 1/3 - (-642)/j a multiple of 14? False Let f(v) = 2*v - 6. Let d be f(5). Suppose -5*u + l = 1, 2*l = -u + d*l - 2. Suppose 3*m - 174 = -4*z, -3*m + 5*m + 2*z - 116 = u. Does 25 divide m? False Let v(u) be the second derivative of -151*u**3/6 + u**2/2 - 6*u. Let o be v(-1). Is (o - (2 - 0))/2 a multiple of 15? True Let p(v) = -v - 9. Let t be p(-12). Suppose 0 = -5*h + 7 + 18, -t*f - 5*h = -25. Suppose -5*k + f*k + 100 = 0. Is k a multiple of 5? True Let i(h) = -6*h + 10 + h**2 + h - 9*h. Is i(14) a multiple of 5? True Let q(s) = 5*s + 24. Let n(z) = 2. Let g(j) = -18*n(j) + 2*q(j). Does 13 divide g(3)? False Let w be (-53)/(-2 + 3)*-4. Let c = w + -148. Suppose -2*z = -z - c. Is z a multiple of 20? False Let t be (57/(-6))/(3/(-12)). Suppose t = 2*d - 108. Suppose 75 + d = 4*n. Is 5 a factor of n? False Let o be 1 + -4 + 4 + -1. Suppose -5*h = 5*c + 65, o = 3*h - h + 5*c + 23. Does 7 divide ((-1)/(1/h))/2? True Let y = 3130 + -1957. Is 51 a factor of y? True Let a(z) = -4*z - 1. Let q(x) = -13*x - 2. Let n(w) = -11*a(w) + 4*q(w). Is n(-3) a multiple of 9? True Is 49 a factor of 36/54*15/(-2) - -533? False Let c be (-2)/((5 - 1)/(-4)). Does 16 divide 4 - (c + -2 + -44)? True Suppose 3*j = -5*j + 816. Suppose 4*b = -2*x + j, 2*b = -3*b + x + 117. Is b a multiple of 12? True Let n(y) = 2*y**2 + 35*y + 23. Let w be n(-16). Is 12 a factor of -59*1*-1 - (24 + w)? True Suppose 31 = -4*z - z - s, 0 = 4*z - s + 32. Let f(t) = 2*t + 16. Let b be f(z). Suppose -17 + 1 = -b*i. Does 3 divide i? False Let c = 627 + 50. Does 38 divide c? False Suppose -3*u - 25*u + 5376 = 0. Does 32 divide u? True Suppose -428 = -f + 61. Is 7 a factor of f? False Let n(y) = -y + 13. Let z be n(11). Suppose 0*w + z*w - 28 = 0. Is 17 a factor of 402/w - 40/(-140)? False Suppose -21*b + 11*b = -2120. Is b a multiple of 44? False Suppose 15*b - 19*b = -32. Let m be 7*1/(14/8). Suppose 60 = -m*x + b*x. Is x a multiple of 2? False Is ((-4802)/21)/(24/(-180)) a multiple of 49? True Does 12 divide 3752/20 + (-16)/10? False Suppose -d + 5 = 2. Let k = d + 108. Is k a multiple of 9? False Let w(v) be the second derivative of v**6/120 - 7*v**5/60 + v**4/3 - v**3/2 - v**2 - 6*v. Let o(q) be the first derivative of w(q). Is 9 a factor of o(6)? True Suppose -2*y = k - 739, 2*k - 157 = -y + 208. Does 32 divide y? False Suppose 13*x - 290 + 56 = 0. Does 9 divide x? True Suppose -3*i = -8*i. Is (-40 + i)/(12/(-30)) a multiple of 34? False Let a = 112 - 78. Suppose -a*z = -39*z + 300. Is z a multiple of 4? True Let a(l) = l**2 + 5*l + 2. Let p be a(-5). Suppose p
{ "pile_set_name": "DM Mathematics" }
-20 - (-3 + r))*2950. Round g to the nearest ten thousand. -60000 Let p = -41.798 + 0.198. Round p to the nearest ten. -40 Suppose -s - 5*n = 10963969, 0*n + 43855940 = -4*s - 4*n. Let d = s - -17363989. Round d to the nearest 1000000. 6000000 Let h = -101.3 - -99. Round h to zero dps. -2 Suppose 0 = -2*q + 34 - 18. Let p(g) = -27*g**2 + 16*g. Let c be p(q). Round c to the nearest one thousand. -2000 Let r = -0.248696978 + 0.2487. Round r to 7 decimal places. 0.000003 Let d = 2.71 + 265.29. Let f = 265.97176558 - -2.02798042. Let z = f - d. What is z rounded to five decimal places? -0.00025 Let p = -44 - -44.038. Let m = p + 0.035. Round m to two dps. 0.07 Suppose -2*c = -n + 4600, 0*c + 23035 = 5*n - 3*c. Round n to the nearest 100. 4600 Let l = 521598357 + -337464206. Let o = -184134156.79999899 + l. Let v = 5.8 + o. Round v to 7 decimal places. 0.000001 Let r = 3 + 2. Suppose -2*c - r*k = 149586, 6*c - c + 2*k + 373986 = 0. Let p = c - 202. What is p rounded to the nearest 10000? -80000 Let y = 1.421 - 1.36. Let l = 0.06049 - y. Round l to four dps. -0.0005 Suppose 5*o - 83890 = -0*o. Suppose l + l + 4*t - o = 0, 4*l - 2*t - 33556 = 0. Suppose -l = 5*m + 461. Round m to the nearest 100. -1800 Let p = 0.50756 + -0.585. What is p rounded to two dps? -0.08 Suppose 6*n - 9270000 = -0*n. What is n rounded to the nearest 100000? 1500000 Let v = 9.313 - 0.113. Let c = v - 9.20000061. Round c to seven decimal places. -0.0000006 Let q = 5.4821 - 0.0601. Let r = q + -4.62088. Let d = -0.8 + r. What is d rounded to 4 dps? 0.0011 Suppose 5*z - 202 = 203. Suppose z = 2*w - 113. What is w rounded to the nearest 10? 100 Suppose -2*n + f = -3*f + 552020, f = 4*n + 1104005. What is n rounded to the nearest one hundred thousand? -300000 Let i(g) = -1452*g**3 + 7*g**2 + 11*g + 4. Suppose l + 3 = 7. Suppose -u = -0 + l. Let n be i(u). What is n rounded to the nearest 10000? 90000 Let a = 214 - 123. Let d = a + -85.96. What is d rounded to the nearest integer? 5 Let c = 10.4 - 100.4. Let h = c + 58. Let s = h - -31.85. Round s to one dp. -0.2 Let g = -36 + 26. Let k be (-6)/g - (-1858967)/55. What is k rounded to the nearest 1000? 34000 Let u be (-14 - 0)/(4/202). Let b be -1 - (152 - 4) - 4. Let a = b + u. What is a rounded to the nearest 100? -900 Let w = -2818.7407 + 2819. What is w rounded to one dp? 0.3 Suppose 0 = 38*g - 19382 - 5166. What is g rounded to the nearest 10? 650 Suppose -3*p = -0*p - 12. Let k(j) = 4*j - 6*j**2 - p + 5*j**2 - 8*j**2 - 2. Let r be k(3). What is r rounded to the nearest ten? -80 Let m = 310.8 - 348. Let c = m + 37.721. What is c rounded to 2 decimal places? 0.52 Let n = -3.4 - 29.6. Let r = 33.0115 + n. What is r rounded to three decimal places? 0.012 Let q = -3747.354 + 3744. Round q to 1 decimal place. -3.4 Let z(d) = -d + 126144. Let l be z(0). Let x = l + -19928. Suppose -4*a + x = -4*y - 1776, -3*y = 3*a + 81006. Round y to the nearest ten thousand. -30000 Let a = -107792 + 39592. What is a rounded to the nearest 1000? -68000 Let p = 3005.14 - 3204. Let f = p - -199.099956. Let w = f + -0.24. Round w to five dps. -0.00004 Let x = 2704 + -2393.8. What is x rounded to the nearest 10? 310 Let b = 43249336.999346 - 43250118. Let j = b - -781. What is j rounded to 4 decimal places? -0.0007 Let a = 4 + -3.4. Let v = 1958513 - 1958512.40000012. Let t = v - a. What is t rounded to seven decimal places? -0.0000001 Let t = 0.4395169 - 66.4405769. Let c = t - -66. What is c rounded to four decimal places? -0.0011 Let k = 3153.567 + -3150. What is k rounded to the nearest integer? 4 Let h = -5970 + 6251.1. What is h rounded to the nearest 10? 280 Let v = -295.00123 + 295. Round v to three dps. -0.001 Suppose 24 = -2*g + 184. Suppose -g = -3*o - o. Let w be -1*452*o/(-4). Round w to the nearest 100. 2300 Let d(m) = -2*m**3 + 6*m**2 - m - 1. Suppose 3*b + 78 = 5*o, 2*o - 43 = b - 11. Let h be (-2)/(-3) + 60/o. Let g be d(h). Round g to the nearest 10. -40 Let x be 7/(-14) + (-15)/(-2). Suppose x*t - 4*t = -306. What is t rounded to the nearest ten? -100 Let r = -52.27 + 52. Let s = -0.581927 - -0.311933. Let k = r - s. Round k to 6 decimal places. -0.000006 Let l = -0.07705 - -10515.07705. Let z = 10514.94721 - l. Let u = -0.053 - z. What is u rounded to 4 decimal places? -0.0002 Let k be (-2 - 1) + 2 + (-12200011 - -12). Round k to the nearest one million. -12000000 Let h = 7.85 - 7.8967. Round h to 3 decimal places. -0.047 Let s = -148.70000825 - -148.7. What is s rounded to 6 decimal places? -0.000008 Suppose 10*n = -5*l + 14*n - 272154, -5 = -5*n. What is l rounded to the nearest 1000? -54000 Let d = 45571.65 + -45591.54543. Let h = -0.02343 - d. Let l = h - 20. Round l to two dps. -0.13 Let g = 0.88 + 11.32. Let f = -292.6386 + 304.85. Let d = g - f. Round d to 3 decimal places. -0.011 Suppose 2224 + 3452 = 6*t. What is t rounded to the nearest 100? 900 Suppose -2*i + 0*i + 3*y = -37623, -5*y = 4*i - 75235. Round i to the nearest one thousand. 19000 Let t = -3.729 - 0.301. Let b = -0.03 - t. Let n = -3.9952 + b. Round n to 3 decimal places. 0.005 Let t = -23952805 - -23952799.9999845. Let z = t - -5. Round z to six decimal places. -0.000016 Suppose x - 14 = -4*z - 3, -4*x - 16 = -4*z. Let n(l) = -2 - z*l + 4 + 1 + 6*l**2 + 8*l. Let c be n(-5). What is c rounded to the nearest ten? 130 Let w = 2350.131 - 1569.1622. Let t = w - -0.0312. Let d = t + -747.3. Round d to 0 decimal places. 34 Let j = -93.8 - -93.7847. Round j to 3 dps. -0.015 Suppose 0 = -u - z - 47593, -95183 = 2*u + 29*z - 28*z. Round u to the nearest 1000. -48000 Let w = 13 + -10. Suppose -p = -2*n + 1, 4*n - 5*p = w*n - 22. Let f be 31250/((-1)/(-2016)*n). What is f rounded to the nearest 1000000? 21000000 Let p = -323 + 362.1. Let x = p + -37. Let y = x - 2.0987. What is y rounded to 3 decimal places? 0.001 Let s = 50010 + -50079.031. Let o = -51 - 18. Let i = o - s. Round i to two dps. 0.03 Let j = -0.0538 - -0.05379181. Round j to six decimal places. -0.000008 Let x = -4895324363.81011 + 4895301627. Let l = -22747.81 - x. Let m = 11 + l. What is m rounded to 4 decimal places? 0.0001 Let a be (2 - 0) + (7 - 4). Suppose 0 = -8*o + a*o - 1845. Round o to the nearest one hundred. -600 Suppose 2*h + 2*x + 2 = h, -5*h = -3*x - 16. Suppose 5*q - 11819849 = -h*v + 1180153, 4*v = -q + 2600004. What is q rounded to the nearest 1000000? 3000000 Suppose 6*n = 9*n - 6. Suppose -n = 3*j + x, 2 = -j - j - x. Suppose 3*r + 231157 + 83843 = j. Round r to the nearest ten thousand. -110000 Let d = -467.808 - 1.592. What is d rounded to the nearest one hundred? -500 Let v = -542 - -542.4. What is v rounded to two dps? 0.4 Let c = -1.0012 + 86.9852. Let d = -0.016 - c. Let f = -86.245 - d. What is f rounded to two dps? -0.25 Suppose 0 = -9*v + 6*v + 18. Suppose v*z = z - 4*q + 13500020, -q = -3*z + 8099995. Round z to the nearest 1000000. 3000000 Let h = -1297.99992586 + 1298. Round h to five dps. 0.00007 Suppose 3*q = -7 - 14. Let p be -16 - (-6)/(q - -4). Let t(v) = -7*v**3 - 19*v**2 - 17*v + 26. Let x be t(p). What is x rounded to the nearest 10000? 40000 Let z(j) = 683075*j**3 - j**2 - 5*j + 2. Let t be z(-2). Let y = t + 3864592. What is y rounded to the nearest one hundred thousand? -1600000 Let u be 4/6 - 13499998/(-3). Suppose q - 4*q = u. Round q to the nearest 1000000. -2000000 Suppose 0*q = -2*m - 3*q - 100015, -2*m - 99995 = -q. Let c be (-22)/((-3 - 300002/m) + -3). What is c rounded to the nearest one hundred thousand? -600000 Let u = -0.6107 + 0.6095164. Round u to 5 decimal places. -0.00118 Let q = -0.194958 - -0.195. What is q rounded to 4 decimal places? 0 Suppose 4*z + 5*b = 3968, -2*z - 3*b + 7*b = -1958. Suppose -5*d - 282 + z = 0. Let m be 3/((-420)/d + 3). Round m to the nearest ten. 140 Let o = 0.0303 - 11.7403. Let w = o - -2.5. Let f = 1.89 - w. What is f rounded to 0 dps? 11 Let n(d) = 270*d**2 + 2*d + 2. Let v be n(-1). Let m(s) = 12*s**2 + 5*s - 3. Let a be m(3). Let h = a - v. What is h rounded to the nearest 100? -200 Suppose 52714688 = -3*v - n, 4*n = -3*v + 5*n - 52714678. Let x = v + 9971561. What is x rounded to the nearest one million? -8000000 Let m = -12378088 + -7367921. Let t = -7953991 + m. Round t to the nearest 1000000. -28000000 Let l =
{ "pile_set_name": "DM Mathematics" }
k = -5619 + 7901. What is the thousands digit of k? 2 Let q(d) = 2*d**3 + 14*d**2 + 4*d + 4. Let g = 26 + -32. What is the tens digit of q(g)? 5 Suppose 0*s + 2*s = 8. Let y(z) = 2*z**2 + 6*z - 2. What is the units digit of y(s)? 4 Let g = 898 - 440. What is the tens digit of g? 5 Let v = -4967 + 10181. What is the tens digit of v? 1 Let x(h) = h**2 + h - 6. Let z be x(2). Suppose 3*a - 965 = -4*i, -2*i + 0*i - a + 481 = z. What is the hundreds digit of i? 2 Let i(p) = -6*p - 5*p**3 - 7*p**2 + p**2 + 3 + 4*p**3. Let k be 50/15*(-3)/2. What is the units digit of i(k)? 8 Suppose -5 = -4*p + 5*p, -579 = -3*t - 3*p. Suppose -4*g = 3*i - 558, -4*i = 2*g - 942 + t. What is the units digit of i? 6 Let n = -16 + 18. Suppose -4*s = -0*s, -2*s = n*g - 104. What is the tens digit of g? 5 What is the hundreds digit of 3643 + ((-3)/4)/((-12)/48)? 6 Let t(c) = c**2 + 4*c - 1. Let q = -18 - -11. Let g be t(q). What is the tens digit of (-2 + g/12)*-117? 3 Let a(h) = h**2 - 9*h - 19. Let u be a(11). Suppose -u*q + 474 = -0*q. What is the hundreds digit of q? 1 Let h = -28 - -33. Suppose -520 + 125 = -h*l - 4*w, 5*l - w = 370. What is the tens digit of l? 7 Suppose -2*p + 4 = 0, 5*p - 12 - 2 = o. Let c(t) = t - 2*t + t + t**2 + 3. What is the units digit of c(o)? 9 Let v(p) = -p**2 - p - 7. Let u be v(0). Let m(a) = 2*a**2 - 11*a - a**3 + 2*a**2 - a**2 - 5 - 11*a**2. What is the tens digit of m(u)? 2 Let g be 6/33 - 212/(-44). Let x be 17/(-1 - (3 - g)). Let i = x + -9. What is the units digit of i? 8 Let b = -38 + 66. What is the units digit of b? 8 Let j(c) = 3*c**2 - 13*c - 8. Let m(l) = 3*l**2 + 5*l - 6. Let o be m(-3). What is the tens digit of j(o)? 2 Let j = 22 + -23. What is the units digit of j*(-16)/4 + 27? 1 Let u(f) be the third derivative of 5*f**5/4 + f**3/6 + 8*f**2. What is the units digit of u(-1)? 6 Let s(w) be the third derivative of w**6/60 - w**5/60 + w**4/24 - 2*w**2. Suppose -n - 12 = -3*g, -4*n = -3*n - 5*g + 22. What is the tens digit of s(n)? 4 Let k be (3/6)/((-1)/(-44)). Let w = 26 - k. Suppose -z = w*c - 42, 3*z + 0*z - 150 = -4*c. What is the tens digit of z? 5 Let c = -2 + 8. Suppose -x - 3*w = -42, -x + 2*w = -c - 61. What is the tens digit of x? 5 Let v be -2*1 - (-2 - 1 - -111). Let r = 223 + v. What is the units digit of r? 3 Let w(z) = -z - 5. Let u be w(-5). Suppose u = -2*r + 32. What is the units digit of (18/8)/(6/r)? 6 Let l(v) = -v**3 + 4*v**2 + v - 2. Let o(w) = -w**2 + 7*w + 4. Let u be o(7). Let z be l(u). Suppose 0 = -z*p + 7*p - 75. What is the tens digit of p? 1 Suppose -3*p - 3*k + 27 = 0, -3*p + 5*k = -2*p - 15. Suppose -8*f + 3*f + 2 = 2*d, 4*d = 2*f + 4. What is the units digit of d/2 - (-325)/p? 3 Suppose 4 + 40 = 2*b. Let o = b - 20. What is the units digit of -60*(1/o)/(-1)? 0 Suppose 0 = -5*g + 42 + 13. Suppose g = d + 9. Suppose 0 = -3*l - d*l + 50. What is the tens digit of l? 1 Suppose -37*i = -32*i - 7965. What is the units digit of i? 3 Let n = -233 + 431. Suppose -4*t + 2*x = n, 2*t + 2*t - x = -203. Let p = t - -87. What is the tens digit of p? 3 Let o(c) = -7*c**2 - 4*c - 9. Suppose 4 = -3*u + 2*u. Let h be o(u). What is the units digit of 152/7 - 30/h? 2 Let o be 9/(36/(-40))*-1. Suppose -o*i + 228 = -7*i. What is the units digit of i? 6 Let p = 583 + -783. Suppose 3*f = 5*n + 10, 4*n - 2*f + 0*f + 8 = 0. What is the units digit of n/(-13) + p/(-52)? 4 Let a(x) = 5*x**2 + 29. What is the tens digit of a(0)? 2 Suppose -3*v + 1590 = 3*r, 4*r - 21*v = -19*v + 2108. What is the units digit of r? 8 Let q(o) = -2*o**2 + 15*o - 8. Let l be q(6). Let w = 182 - l. What is the tens digit of w? 7 What is the tens digit of 0 + 6 - 4 - -89? 9 Let n(i) = 6*i - 2. Let y be n(1). What is the units digit of y*-1 + (-1080)/(-6)? 6 Let l = 20 + -18. Suppose 201 - 43 = l*y. What is the units digit of y? 9 Let a = 165 - 19. What is the tens digit of a? 4 Let q = 53 - 51. Suppose -q*o - 71 = -329. What is the tens digit of o? 2 Suppose 0 = -2*p + 4*p - 66. Suppose p = y - 14. What is the units digit of y? 7 Let o = -27 - -22. Let d(w) = -17*w + 14. What is the tens digit of d(o)? 9 Suppose 5*d - 37 = -4*a, -7*a + 42 = -2*a + 2*d. Let c(z) = -3*z**2 + 31*z + 7. What is the tens digit of c(a)? 6 What is the thousands digit of -3 + 35*5902/65? 3 Let l be -17 - 6/(-1 + -2). Let i = 20 + l. Suppose 30 = -2*c + i*c. What is the units digit of c? 0 Let w = 1684 - 11. What is the units digit of w? 3 Let w = -29 - -32. Let y = -6 + 7. Suppose -2 - y = -w*t. What is the units digit of t? 1 Suppose 2*k + 0 = 52. What is the units digit of k/(-65) + (-164)/(-10)? 6 Let j(l) be the second derivative of -22*l**3/3 + l**2 - 11*l. What is the units digit of j(-1)? 6 What is the tens digit of 254 - ((-231)/44 + 1/4)? 5 Let w(c) = -c - 4. Let t be w(-6). Let a be (2/2)/(5/25). Suppose -4*v - a*q = -2*v - 9, 4*v = -t*q + 58. What is the tens digit of v? 1 Let u be (-37)/(-3) - 1/3. Let q be ((-2)/(-3) - 0)*u. Suppose -2*c + 5*k + 47 = 0, -4*k + q + 12 = 0. What is the units digit of c? 6 Let a = 447 - 358. What is the units digit of a? 9 Suppose 0 = 2*f + g - 277 - 317, -2*g = -4*f + 1188. What is the tens digit of f? 9 Let i = 21 - -19. Let x(k) = 2*k - 6. Let u be x(5). Suppose 2*v - u*w - i = -v, w = 5. What is the tens digit of v? 2 What is the units digit of 382925/340 - (2 + (-7)/4)? 6 Suppose -2*t + 131 = -459. Suppose -5*m = -3*h + 179, -5*h + t - 3 = -2*m. Let p = h + -22. What is the units digit of p? 6 Suppose 0 = -p + 1 + 1. Let s(g) = 2*g**2 + g**p - 2 - g + 2*g**2. What is the tens digit of s(2)? 1 Let u(w) = w**2 + 5*w - 5. Suppose -5*n + g = 22 + 5, 4*n - 4*g = -12. Let j be u(n). What is the units digit of (18/27)/(j/24)? 6 Let u be ((-6)/12)/(3/(-30)). Suppose p = 5*m + u, p - 7 = 2*m - 2. Suppose m*c = 4*c - 264. What is the tens digit of c? 6 Let y(q) = 17*q + 40. What is the tens digit of y(2)? 7 Let z(u) = 481*u**2 - 24*u - 89. What is the hundreds digit of z(-3)? 3 Let h(c) = 19*c**2 - 7*c + 8. Suppose -5*u - 9 = 3*x - 0, -2*x = -4*u - 16. What is the tens digit of h(x)? 7 Suppose 3*n = 3*t - 6, -n = -3*t - 0 + 2. Suppose 0 = 5*d - 13 - 7. Suppose -d*u + t*b + 5*b = -140, u + 4*b - 35 = 0. What is the tens digit of u? 3 Let q(x) = -x**3 - 13*x**2 + 18*x - 22. What is the hundreds digit of q(-16)? 4 Let t be (-8 - -3 - 767)/(-2). Let x = t - 145. What is the hundreds digit of x? 2 Suppose c + 3*c = 120. Suppose -c = -5*s - 2*y, -17 = -3*s - 3*y + 2*y. Suppose -p - 45 = -5*p + 5*n, 0 = -5*p + s*n + 45. What is the units digit of p? 5 Suppose -i + 5*i = 28. Suppose -i*m = -2*m - 1125. What is the units digit of m? 5 Suppose 0 = 3*s + 3, 2*b - 4*s + 23 = 3. Let n = b - -6. What is the units digit of (-292)/n - 2/(-6)? 9 Let d = -1044 + 1741. What is the tens digit of d? 9 Suppose 3*s - 606 + 183 = 0. Let j = -80 + s. What is the tens digit of j? 6 Let k be 576/(-42) + 2/(-7). Let m be -658*(1 + (-10)/k). What is the units digit of 4/18 + m/(-27)? 2 Let s(o) = -o**3 + 52. Let r = -29 - -29. What is the tens digit of s(r)? 5 Let l(r) be the third derivative of 0 + 0*r + 1/60*r**5 - 1/12*r**4 - 1/3*r**3 - 2*r**2. What is the units digit of l(4)? 6 Let s(z) = -48 + 3*z + 41 + z**2 + 3*z. Let n be s(-6). What is the units digit of 113/6 + n/(-42)? 9 Suppose 2*b + 4*n - 252 = 0, -3*b - 6*n + 366 = -4*n. What is the units digit of b? 0 Let s(k) = 25*k. Let q = -18 + 8. Let t = q + 11. What is the units digit of s(t)? 5 Let h(t) = -t**3 + 2*t**2 + 3. Let q be 2 - (-3)/6*0. Let g be h(q). Suppose g*l - 75 - 16 = 2*v, -5*v - 25 = 0. What is the units digit of l? 7 Suppose 0 = 2*u - 0*f - f - 2546, -2*f = u - 1278. What is the hundreds digit of u? 2 Suppose -b - 96 = 4*v, -5*v - 120 = b - 0*b. Let y = v + 24. Suppose -5*q + 3*q + 48 = y. What is the units digit of q? 4 What is the thousands digit of 1/((3/(-3483))/(-1))? 1 Suppose 2 = x - 0. Suppose -c - 60 = -a - 4*a, -4*a + x*c + 42 = 0. Let v = 1 + a. What is the units digit of v? 4 Let c(g) = -g**2 - 48*g - 20. What is the units digit of c(-28)? 0 Let v(f) = 5*f - f + 7*f - 3 + 15 + f**2. Let a be v(-10). Suppose 3*h = -a*r + 140, -3*h = 4*r + 153 - 433. What is the units digit of r? 0 Let h = 5 + 8. Suppose -3*g + 245 + h = 0. What is the tens digit of g? 8 Suppose -6
{ "pile_set_name": "DM Mathematics" }
4). 53 Suppose 2*n = -2*b + 10, -b - n = -5*b + 10. Suppose b*q - 43 = 107. List the prime factors of q. 2, 5 Suppose 5*i + 18 = 4*s - 14, -i + 4 = 0. Let o be (s/2)/(14/28). Let w = -8 + o. List the prime factors of w. 5 Let l be 5 - (0 - (-2 + 0)). Let h be l*(-8)/(-28)*7. Suppose -h*m + 4*m + 38 = 0. What are the prime factors of m? 19 Let k be (2 - 5) + (156 - -1). Suppose 50 + k = 3*m. List the prime factors of m. 2, 17 Let w(g) = g - 3. Let o be w(6). Suppose -k + 4*x - 56 = -o*k, 0 = -4*k - 4*x + 108. What are the prime factors of k? 2, 13 Suppose 4*z - 908 = 5*v, -2*z + 709 - 241 = v. List the prime factors of z. 2, 29 Let y = -10 - -14. Suppose -8*p + 324 = y*g - 4*p, -3*p + 401 = 5*g. List the prime factors of g. 79 What are the prime factors of (-161937)/(-95) - 3/5? 2, 3, 71 Suppose -v - 4*s + 22 = 0, -3*v - 3*s + 6 = -6*s. What are the prime factors of (-3 + 15/10)/(v/(-1280))? 2, 5 Suppose -6*p + 10*p - 222 = -2*h, -3*h = 2*p - 349. What are the prime factors of h? 7, 17 Let v be 29/2 + 1/2. Suppose -3*w + 0*w = v. Let j = 5 - w. What are the prime factors of j? 2, 5 Let p = 1877 + 471. List the prime factors of p. 2, 587 Let d = -1481 - -1559. List the prime factors of d. 2, 3, 13 Let v = -28 + 54. List the prime factors of 11/(3/(v - 2)). 2, 11 Suppose 196 = 11*l - 9*l. Let x = 166 - l. List the prime factors of x. 2, 17 Let c be ((-118)/3)/((-16)/24). Suppose -7*q - 146 + 762 = 0. Let h = q - c. List the prime factors of h. 29 Let g be 1 + (8 + -2)/3. Let q(w) = w**3 - 2*w**2 - w + 6. What are the prime factors of q(g)? 2, 3 Suppose -1860 = -11*y + 4630. List the prime factors of y. 2, 5, 59 Let w(s) = s**2 + 5*s - 3. Let j be w(-6). Suppose -16 = -j*a - a. Let r = a - 2. List the prime factors of r. 2 Suppose -30*p + 14413 + 9887 = 0. List the prime factors of p. 2, 3, 5 What are the prime factors of ((-624)/(-90)*-6)/(2/(-25))? 2, 5, 13 Let f(c) = c**3 + 6*c**2 + 2*c - 11. Let d be f(-5). Suppose -x - 210 = -d*x. List the prime factors of x. 2, 5, 7 Let a(q) = 1 + 167*q**2 - 164*q**2 - q + 4*q. What are the prime factors of a(4)? 61 Let m(x) = -x**3 - 6*x**2 + 7*x - 1. Let l be m(-7). Let q(w) = -8*w - 1. Let g be q(l). Suppose g*j + 16 = 8*j. What are the prime factors of j? 2 Suppose u + 5*k = 261, 10*k = -4*u + 7*k + 1129. What are the prime factors of u? 2, 11, 13 Suppose 0 = v - 2*d - 1299 + 246, -d + 2 = 0. What are the prime factors of v? 7, 151 Suppose 2*q + 930 = 7*q. Let r = q - 132. List the prime factors of r. 2, 3 Let i(g) = 16*g**2 - 33*g + 4. List the prime factors of i(8). 2, 191 Let z be 0 + 2/(-10) - 1586/(-305). Suppose -z*c + 5 = b - 100, 5*b = -5*c + 465. List the prime factors of b. 2, 3, 5 Let x(z) = 4*z**2 - 15*z + 105. List the prime factors of x(10). 5, 71 Suppose -60*y + 10206 = -39*y. List the prime factors of y. 2, 3 Suppose -13*f = 5*f - 18720. What are the prime factors of f? 2, 5, 13 Suppose -25 = 5*b, 5*b = 4*a - 0*b - 37. Suppose -2*r = 1 + a. List the prime factors of (-1998)/(-99) + r/11. 2, 5 Suppose -3*n - 15 - 6 = -3*m, 0 = 2*m + n - 2. Suppose -3*w - 4*x + 45 = 0, -4*w + 10 = -m*w + 3*x. List the prime factors of w. 19 Let x(d) = d**2 - 6*d + 7. Let s = 3 - -2. Let m be x(s). Suppose -l - m*i + 23 + 5 = 0, i + 112 = 3*l. List the prime factors of l. 2, 3 List the prime factors of (-87)/145 - 11798/(-5). 7, 337 Let h(d) = -16 + d**3 + 4*d**2 - 16*d**2 + 3*d**3 - 5*d**3 - 11*d. Let r be h(-11). Let o = r + 31. What are the prime factors of o? 3, 5 Suppose -d + 30 = 4*d. Suppose 4*z - 5*n - 1136 = 0, 0 = -4*z - 2*n + d*n + 1132. List the prime factors of z. 3, 31 Let j(l) = -l - 24. Let p(g) = -1. Let a(m) = j(m) - 4*p(m). Let x be a(-14). Let r(y) = y**3 + 8*y**2 + 4*y - 2. What are the prime factors of r(x)? 2, 23 Let y(i) = -4*i**2 - 35*i + 1. What are the prime factors of y(-4)? 7, 11 Suppose -3*o + 129 = -3*k, 20 = -3*o - o. Let b = k + 78. Suppose w + 2*r - b = -3*w, 4*r = 4*w - 36. List the prime factors of w. 2 Suppose 4*j = 846 + 6302. List the prime factors of j. 1787 Let x(r) = -r**3 - 3*r**2 - 9*r - 7. Let b be x(-3). Suppose -t + 3*f = t - b, -f = 0. What are the prime factors of t? 2, 5 Let n(s) = -1162*s + 22. List the prime factors of n(-2). 2, 3, 17, 23 Suppose -5*w + 13 = -12. Suppose -3*i - 57 = -2*m, -i - w = -0. Let s = m - 7. What are the prime factors of s? 2, 7 Let q = 448 - 284. List the prime factors of q. 2, 41 Let u(q) = -14 + 7 - 6 - 3*q. Let l(a) = -a**3 - 5*a**2 + 9*a + 6. Let j be l(-6). List the prime factors of u(j). 23 Suppose j + 2*m = m, 4*j = -2*m. What are the prime factors of (j - -3) + 204 + -19? 2, 47 Let v(u) = -u**2 + 5. Let a be v(0). Suppose 7*i - 148 = a*i. What are the prime factors of i? 2, 37 Suppose 12*h - 7*h - 3997 = -3*y, h = -3*y + 4013. List the prime factors of y. 13, 103 Let v(w) = w**2 - 9*w + 2. Let b be v(4). Let q = -8 - b. Suppose 3*u = 50 + q. List the prime factors of u. 2, 5 Suppose 0 = -5*b - 2*g + 12975, -3*b + 18*g - 20*g + 7789 = 0. List the prime factors of b. 2593 Let j = -27 + 32. Suppose -3*q - 5*a = -4*q + 37, 0 = -3*q + j*a + 161. List the prime factors of q. 2, 31 Let x(h) = -h**3 - 5*h**2 + 4*h + 1 - 25*h + 10*h. What are the prime factors of x(-7)? 2, 11 Let i = -432 + 267. Let o = -93 - i. What are the prime factors of o? 2, 3 Suppose 216 = -l + 15. Let y = l - -313. What are the prime factors of y? 2, 7 Let r(a) = 1081*a + 26. List the prime factors of r(1). 3, 41 Let z = 5 - -2. Suppose 0*p + z = g + 2*p, 0 = -g + 3*p + 2. Suppose -32 = -4*w + k + 2*k, 5*w - 45 = g*k. List the prime factors of w. 5 Let t(n) = -n**3 + 17*n**2 + 10*n + 6. Let f be t(12). Suppose f + 124 = 10*p. What are the prime factors of p? 97 Let m(a) = a**2 + 2*a - 1. Let j be m(-3). Suppose 2*l + j*s - 2 = 0, 0*l + 3*l + 4*s = 1. Suppose 0 = -2*u - l*u + 10. List the prime factors of u. 2 Let u(p) = 5053*p**2 - 4*p - 3. List the prime factors of u(-1). 2, 7, 19 Let p(a) = 13*a**3 - 9*a**2 - 65*a + 4. Let t(x) = 3*x**3 - 2*x**2 - 16*x + 1. Let f(w) = -2*p(w) + 9*t(w). List the prime factors of f(6). 7, 19 Let v(z) = -5*z**2 + 20*z + 12. Let t(k) be the first derivative of k**3/3 + k + 3. Let d(m) = 6*t(m) + v(m). List the prime factors of d(-20). 2, 3 Let p(f) = -1 + 2*f - f + f**2 + 2. Let q be (-3 - -1) + 3 + 4. What are the prime factors of p(q)? 31 Let m = 6381 - 1833. What are the prime factors of m? 2, 3, 379 Let p be ((-2)/4)/(2/(-12)). Suppose 21 - 54 = -p*b. Let i(d) = 4*d - 14. What are the prime factors of i(b)? 2, 3, 5 Let w(g) = g**3 - 4*g**2 + 4*g - 12. Let i be w(4). Suppose 0 = -3*x + i*y + 385 - 34, 5*x - 553 = -4*y. What are the prime factors of x? 113 List the prime factors of 689 - ((-76)/(-28) + (-10)/(-35)). 2, 7 Suppose -f + 4*f - 9 = 0. Let j be 1/2*2*105. Suppose 0 = 4*z - f - j. List the prime factors of z. 3 Let i(z) = -3*z - 8. Let w be i(-4). Suppose 4*d + 28 = 5*v, -4*v + 5*v = 2*d + 8. Suppose 33 = 5*q + v*c, w*q - q = c + 13. What are the prime factors of q? 5 Suppose 3*g = -2*m + 1466, -18*m + 4*g = -16*m - 1494. What are the prime factors of m? 739 Let z(d) be the first derivative of 3*d + 8/3*d**3 + 2*d**2 - 1/4*d**4 - 7. What are the prime factors of z(8)? 5, 7 Let m be 7/49 + (-146)/(-7). Suppose 0 = 2*n - n - m. What are the prime factors of 2*(-15)/(-18)*n? 5, 7 Let u(o) = -o**3 + 25*o**2 + 8*o - 97. List the prime factors of u(25). 103 Let w be 0*3/(-3)*1 - -16. Suppose 20*t - 21*t + w = 0. List the prime factors of t. 2 Let l = 135 + -133. What are the prime factors of l? 2 Let j be -1 + 0/1 + 19. Let o = j + -15. Suppose 2*q - o*q = 2*m - 30, 3*m + 6 = 0. List the prime factors of q. 2, 17 Let k = 2 - 2. Suppose -4*y = -k*y - 220. What are the prime factors of y? 5, 11 Let n(c) = -c + 6. Suppose -2*b - 49 - 9 = 4*o, 3*b = -o - 2. What are the prime factors of n(o)? 23 Let b = -5 + 10. Let a be 1*-2 + 0 + (-1 - -6). Suppose -3*c + 2 = b*k - 0*k, 18 = 3*c - a*k. What are the prime factors of c? 2 Let p(z) = -3 + 6*z + 1 + 1. Let m be p(1). Suppose 5*f - 4*w + m = 4*f, -3*w + 2 = -f. What are the prime factors of f? 7 Let w be -3 + (-15)/(-2) + 5/10. Suppose -3*k + 267 = l, -54 = -5*k - w*l + 391. What are the prime factors of k? 89 Suppose v = -2*v + 9. Let s(m) be the third derivative of m**5/
{ "pile_set_name": "DM Mathematics" }
-j**7/210 - j**3 - 7*j**2. Differentiate p(d) wrt d. -4*d**3 Let v(i) be the first derivative of 0*i + 0*i**2 - 1/2*i**4 + 1/3*i**3 - 2. Find the third derivative of v(k) wrt k. -12 Suppose 3*s - 18 + 6 = 0. What is the second derivative of -q**4 + q - 5*q**s - 3*q wrt q? -72*q**2 Let k(h) be the first derivative of -4*h**6 + h**2/2 - 7*h - 21. What is the second derivative of k(a) wrt a? -480*a**3 Let i(y) = -3*y - 3. Let w be i(-4). What is the third derivative of w*z**2 + 11*z + 5*z**3 - 2*z**3 - 11*z wrt z? 18 Let c(j) = 27*j**4 + 13*j**3 - 13*j**2 - 13*j + 36. Let r(a) = 13*a**4 + 6*a**3 - 6*a**2 - 6*a + 18. Let i(z) = -6*c(z) + 13*r(z). Differentiate i(k) wrt k. 28*k**3 Let g(k) = 17*k - 53. Let b(f) = 8*f - 26. Let n(u) = 9*b(u) - 4*g(u). Differentiate n(v) wrt v. 4 What is the second derivative of 3*s + 27 - 64*s**2 - 17*s**3 + 33*s**2 + 29*s**2 - 11 wrt s? -102*s - 4 Let s(t) be the first derivative of 6 + 0*t - 9/2*t**2 + 0*t**3 + 0*t**4 - 1/6*t**6 + 0*t**5. Find the second derivative of s(q) wrt q. -20*q**3 Let c(d) = d + 3. Let o be c(-2). Let x(u) = u**2. Let y(z) = -13*z**2 - 2*z. Let l(t) = o*y(t) + 4*x(t). Find the second derivative of l(m) wrt m. -18 Let x(g) be the second derivative of -g**7/42 - 19*g**3/6 + 8*g. What is the second derivative of x(l) wrt l? -20*l**3 Let w = 10 + -2. Let t = -5 + w. What is the second derivative of 0*y - 2*y**t - y**3 - 3*y wrt y? -18*y Let j(q) = -q + 4. Let w be j(0). Let p = -3 - -6. Find the second derivative of w + 3*c**p + 2*c + c**3 - 4 wrt c. 24*c Let i(p) be the second derivative of p**3/6 - 5*p**2/2 + 4*p. Let u be i(7). Differentiate -2 - 1 + 1 - 3*d**2 + 4*d**u with respect to d. 2*d Let p(j) = j**2 - 4*j + 4. Let g be p(4). Let k be -1 - 0 - (4 + -5). What is the third derivative of x**3 - g*x**3 - 2*x**2 + k*x**2 + x**3 wrt x? -12 Let i(p) be the third derivative of -5*p**4/12 - p**3/2 - p**2. What is the derivative of i(r) wrt r? -10 Let y(c) = -c**4 - c**2 + 1. Let g(v) = 10*v**4 + 3*v**2 - 6. Let r(w) = g(w) + 6*y(w). What is the third derivative of r(q) wrt q? 96*q Let f be 3/2*10/15. Differentiate -f - 2 + 2 - 3*l + 5*l with respect to l. 2 Let z be (-20)/(-4) + 56/(-12). Let m(s) be the first derivative of 0*s**2 + 0*s + z*s**6 - 1 + s**3 + 0*s**5 + 0*s**4. Find the third derivative of m(d) wrt d. 120*d**2 Let j(f) be the first derivative of 7*f**3/3 + f**2 + f - 2. Let r be j(-1). Find the second derivative of m + 3*m - 2*m**2 - r*m wrt m. -4 Let d(p) = -5*p**3 + 11*p**2 + 2*p + 11. Let v(q) = -2*q**3 + 4*q**2 + q + 4. Let g(y) = -4*d(y) + 11*v(y). Find the second derivative of g(w) wrt w. -12*w Let h(o) = o**3 - 4*o**2 - 3*o - 4. Let u be h(5). Find the third derivative of 2*x**u + 1 - 8 + 3*x**2 + 7 wrt x. 240*x**3 What is the derivative of -137*b**3 + 1 + 1 + 131*b**3 wrt b? -18*b**2 Let n be 3 + -1 + 1 + 1. Find the third derivative of 0*b**n + 0*b**4 + b**4 + 2*b**2 wrt b. 24*b Let u(i) = 15*i**5 + 48*i**2 - 8*i. Let x(p) = -5*p**5 - 16*p**2 + 3*p. Let l(n) = 3*u(n) + 8*x(n). Find the third derivative of l(q) wrt q. 300*q**2 Differentiate 2*c + 8 + 5*c**3 - 2*c - 13*c**3 wrt c. -24*c**2 Let b(c) = -c. Let l be b(-4). What is the second derivative of 3*n + 2*n - 12*n - 6*n**l wrt n? -72*n**2 Suppose -2*p - 5*b = -25, 4*p - 3*b - 10 - 1 = 0. What is the third derivative of 2*h**4 - p*h**4 - 12*h**2 - h**2 + 7*h**2 wrt h? -72*h Let v(u) = -u**4 + 2*u**3 - u**3 + u + 2*u**4. Let z(b) = 3*b**3 - 3*b**2 + 3*b + b**4 + 3*b**2 + 1. Let i(h) = 3*v(h) - z(h). Differentiate i(j) wrt j. 8*j**3 What is the third derivative of -4*k**3 - 14*k**2 - 47 + 47 wrt k? -24 Suppose 2*j - 6 + 16 = 4*y, y - 5*j + 2 = 0. Let d be (y - -2)/1 + 0. Find the second derivative of 5*x**3 + x + x**5 - d*x**3 wrt x. 20*x**3 Let s(l) be the second derivative of l**7/7 - 5*l**4/6 - 10*l. What is the third derivative of s(r) wrt r? 360*r**2 Let m(y) = 5*y**4 - 2*y**3 + y - 7. Let r(h) = h**3 - 2. Let c(g) = -3*m(g) - 6*r(g). Find the first derivative of c(x) wrt x. -60*x**3 - 3 Let j(z) be the second derivative of -11*z**5/20 + 12*z**2 + 14*z. Differentiate j(i) with respect to i. -33*i**2 Let w(x) be the second derivative of 2*x**7/105 + x**3/2 - 4*x**2 - x. Let v(l) be the first derivative of w(l). Find the first derivative of v(p) wrt p. 16*p**3 Let g(h) be the second derivative of h**9/3024 - h**6/360 + h**3/3 - 2*h. Let v(l) be the second derivative of g(l). What is the third derivative of v(f) wrt f? 60*f**2 Let o(m) = -8*m**3 - m**2. Let f be 4 + 4*1/2. Let r(s) = 9*s**3 + s**2. Let v(p) = f*o(p) + 5*r(p). What is the third derivative of v(z) wrt z? -18 Let m = 1 - -2. Differentiate 1 - m*g**3 + 0*g**3 - g**3 + 0*g**3 with respect to g. -12*g**2 Find the second derivative of 31*u - 3*u**3 - 23*u - 2*u**3 wrt u. -30*u Suppose 4*x = 3*d - 8, -3*d = 4*x - 14 - 2. What is the third derivative of -8*y**2 - 4*y**4 + 4*y**2 + 0*y**d wrt y? -96*y Let a be -1 + (3 + 1)/1. Find the third derivative of 4*i**4 - 6*i**3 - a*i**2 + 4*i**3 + 2*i**3 wrt i. 96*i Let n(c) be the first derivative of 0*c**2 + 4 + 0*c**6 - 3/7*c**7 + 0*c - 2/3*c**3 + 0*c**4 + 0*c**5. What is the third derivative of n(g) wrt g? -360*g**3 Let v(k) be the second derivative of -k**6/30 - 4*k**4/3 - 14*k. What is the third derivative of v(a) wrt a? -24*a Let g(y) be the second derivative of y**7/6 - 7*y**4/4 + 8*y. Find the third derivative of g(l) wrt l. 420*l**2 What is the second derivative of 23*o**3 - 8*o - 8*o**3 + 6*o - 11*o wrt o? 90*o Let k(o) = -o - 2. Let c(z) = 1. Let i(y) = -5*c(y) - k(y). Let a be i(8). Find the second derivative of -f + a*f - 5*f + 2*f**3 wrt f. 12*f Let n(z) = 7*z**3 + 2*z**2 - 2*z - 2. Let m(h) = -6*h**3 - 3*h**2 + h + 3. Let t(r) = -2*m(r) - 3*n(r). Find the second derivative of t(x) wrt x. -54*x Let r(t) = -t**2 + 6*t + 10. Let z be r(7). What is the third derivative of 3*w**4 + 0*w**4 - 3*w**2 - 4*w**2 + z*w**2 wrt w? 72*w Suppose -c - 8 = g - 3*g, 5*g + 5*c - 5 = 0. What is the second derivative of -2*n**2 + 3*n**2 + 5*n**2 - g*n**2 - 3*n wrt n? 6 Let l(u) be the third derivative of -u**4/12 - u**3/2 + u**2. Let n be l(-3). Find the first derivative of 1 + n*w**3 + 0 - w**3 wrt w. 6*w**2 Let a = 10/7 - 23/21. Let p(x) be the first derivative of -a*x**3 - 3 + 0*x**2 + 0*x + 0*x**4 + 3/5*x**5. What is the third derivative of p(k) wrt k? 72*k Let r(b) be the first derivative of -b**6/180 - b**5/120 + b**3 + 2. Let m(q) be the third derivative of r(q). What is the second derivative of m(n) wrt n? -4 Let k be (-4 - -1)/3*0. Suppose k*g = 3*g. Differentiate 1 - a + g*a + 1 with respect to a. -1 Suppose -s - 3 = k, 3*k - 6*k = -2*s - 6. Let n be (s/(-9))/((-1)/(-3)). Find the first derivative of -n + 0*m**3 + 0*m**3 + 2*m**3 - 1 wrt m. 6*m**2 Find the third derivative of -34*g**5 - g**3 + g**3 - 7*g**2 + 33*g**5 wrt g. -60*g**2 Let z(j) be the first derivative of 12*j**5/5 + 29*j**3/3 + 22. What is the third derivative of z(q) wrt q? 288*q Let q be (2 + -9)*(-6)/7. Let w(y) = -y**2 + 7*y - 3. Let u be w(6). What is the second derivative of -u*f + 4*f - 3*f**3 + 0*f + q*f**3 wrt f? 18*f Let n(o) be the third derivative of 0*o**3 + 1/30*o**5 + 0*o + 0 + 1/12*o**4 - 4*o**2. What is the second derivative of n(a) wrt a? 4 Find the second derivative of -75*u + 0 + 4*u**4 + 91*u + 0 wrt u. 48*u**2 Let d(l) = -7*l**3 + 6*l**2 - 7. Let o(f) = -6*f**3 + 4*f**2 - 7. Let q(v) = 4*d(v) - 6*o(v). What is the first derivative of q(j) wrt j? 24*j**2 Let q(x) be the third derivative of 4*x**2 + 0*x**4 + 1/42*x**7 + 0*x**3 + 0*x + 7/60*x**5 + 0*x**6 + 0. What is the third derivative of q(f) wrt f? 120*f Let d(p) = -p**3 - 14*p**2 + p + 18. Let v be d(-14). Find the third derivative of -3*o**4 + 4*o**4 - 4*o**v - 10*o**2 + 2*o**4 wrt o. -24*o Find the first derivative of 0*n**3 + 8*n**3 - 2*n**3 - 19 wrt n. 18*n**2 Let n(f) be the first derivative of f**5/40 + f**4/12 - f**3/3 + 3. Let q(p) be the third derivative of n(p). What is the derivative of q(m) wrt m? 3 Let c = 7 + -5. Suppose -5*i = -4*a + 8, -2*i - 4 = -c*a - i. What is the derivative of -a*l**3 + 1 + 5*l - 5*l wrt l? -6*l**2 Let y(g) be the third derivative of -g**2 + 0*g**4 + 0*g**3 + 0 + 1/60*g**6 - 1/20*g**5 + 0*g. What is the third derivative of y(m) wrt m
{ "pile_set_name": "DM Mathematics" }
2 + g**3/3 - 2*g**2. Does 17 divide t(1)? False Is 5 a factor of (-32)/(-12)*9/2? False Suppose 3*p - 39 = -3*q, -2*p = 3*q + 2*p - 40. Suppose q = 4*g - g. Is g a multiple of 3? False Suppose 0 = -d + 5*k + 23, 40 + 3 = 5*d - k. Suppose -78 = -9*t + d*t. Is 26 a factor of t? True Suppose -3*g + 5*o + 2 + 23 = 0, 0 = 2*g + o - 8. Suppose g*r + 46 = -4*u + 258, 164 = 3*u + 5*r. Does 16 divide u? True Let b(n) = 2*n**3 - 16*n**2 + 11*n + 7. Is 25 a factor of b(8)? False Let x be 6/10 + 44/10. Suppose 3*d - x = 7. Is d a multiple of 4? True Suppose -a + 15 + 1 = 0. Suppose s + a - 55 = 0. Is s a multiple of 17? False Let h(l) = -l**2 - 12*l - 15. Let g be h(-11). Let a be (-38)/2 + 2/(-2). Let u = g - a. Is 10 a factor of u? False Let a(h) = h**2 - 8*h - 12. Is a(10) a multiple of 4? True Let b be -1 + 3 - (1 + -2). Let x = -3 + b. Does 5 divide (-16)/6*(-3 + x)? False Suppose 4*h - 54 - 42 = 0. Does 5 divide h? False Let g(f) = 3*f**2 + f + 1. Let l be g(-1). Suppose -l*z = 3*m + 9 - 174, 2*z + 5*m - 122 = 0. Does 13 divide z? False Suppose 0*a - 9 = -2*s + 5*a, -3*s + 5*a + 16 = 0. Suppose -s*w + 9*w = 198. Is 33 a factor of w? True Let h be (2/3)/(1/12). Suppose 2 + 6 = 2*w. Suppose 4*z - h*b - 128 = -w*b, -5*z + 3*b = -154. Is z a multiple of 11? False Suppose 0 = -s - 5*b + 6 - 2, 88 = 3*s - 4*b. Suppose 0*r + 33 = 3*t - 5*r, -3*t + 2*r = -s. Suppose -4*o = -2 - t. Is o a multiple of 2? True Let n = -2 - -4. Suppose n*y - 4 = 4*y. Let b(l) = 3*l**2 + 2*l - 1. Is b(y) a multiple of 7? True Let l be 49 + (-5)/(-1) + -3. Let n = l - 28. Does 6 divide n? False Let o(i) = -i + 4. Let p be o(7). Is 4 a factor of 3 - -1 - 1*p? False Let i(o) = 3*o**3 - o**2. Let m be i(-1). Let z(n) = -11*n + 2. Is 15 a factor of z(m)? False Let f = -122 + 72. Does 12 divide 3/2*f/(-3)? False Let o(q) = 23*q**2 - 2*q + 7. Does 44 divide o(-3)? True Is (2 - (-18)/15)*(15 - 10) a multiple of 4? True Let y be 6/(-4)*8/(-6). Let x = y + -1. Let d(r) = 13*r. Is d(x) a multiple of 13? True Suppose -166 = -3*v + 3*r - 55, 5*r - 148 = -4*v. Is 10 a factor of v? False Suppose j - 23 + 20 = 0. Does 8 divide 2/(6/15)*j? False Let m = -141 - -245. Is 22 a factor of m? False Suppose -g = -9*g + 480. Is g a multiple of 8? False Suppose p - 19 = -3. Is 3 a factor of p? False Suppose -2*i = 4*i - 756. Does 12 divide i? False Suppose 4*o + 34 = x, 2*o - 170 = -2*x - 3*x. Let q = x - 24. Is 9 a factor of q? False Let q(d) = 3*d**2 - d - 1. Suppose k + 1 = -0. Let i be q(k). Suppose c = i*h + 33, 3*h = -5*c - 2*h + 65. Is c a multiple of 8? False Suppose -2*s - 2*n - 3*n - 2 = 0, -5*n + 6 = 4*s. Suppose 0*k - s = -4*k, 3*u - 4*k + 106 = 0. Let j = 66 + u. Is j a multiple of 11? False Let t = -19 - -29. Suppose t*z - 7*z = 24. Is 8 a factor of z? True Let l be (-1)/3 + (-48)/(-9). Let h = 8 - l. Suppose 2*d = -h*d + 35. Is 6 a factor of d? False Let k be (-57)/(-21) + (-2)/(-7). Let u = 1 + k. Is 4 a factor of u? True Let u = 15 + -11. Suppose u - 1 = z. Is 3 a factor of z? True Suppose n + n = 10. Suppose n*i = h - 0*h + 12, -5*i - 5*h = 0. Suppose 3*k - i*p = 63, 4*k - 6*p = -3*p + 85. Is k a multiple of 10? False Suppose -2*g = 3*x - 0*x - 129, -3*g - 3*x + 186 = 0. Is 12 a factor of g? False Suppose -7*m + 240 = -5*m. Is 20 a factor of m? True Let n be (-4)/(-6)*-3*-1. Suppose -3*a + u - 26 = 0, 0 = a + a + n*u + 28. Let z = -5 - a. Is z even? False Let d be -18*1*18/(-3). Suppose u - 64 = -b, 2*b - 5*u + 3*u = d. Does 23 divide b? False Suppose 0 = f - 4*y - 40, 0 = -3*f + 2*y + 111 - 11. Is 16 a factor of f? True Suppose 8 = 3*k - 10. Suppose -2*c - 60 = -4*q + k*q, 3*c = 5*q + 126. Is 14 a factor of (1 - q) + 1 + -1? True Suppose r = 2 - 6. Let a(l) = -1 + 4*l**2 + 6 + 0 - 2*l**2 + 5*l. Does 6 divide a(r)? False Suppose -m + g + 1 + 4 = 0, 4*m + g = 40. Let t = 9 - m. Is (33 - t)/3 - -3 a multiple of 9? False Let p(t) = t**3 - 5*t**2 - 9*t - 8. Let u be p(7). Suppose 0 - u = -w. Is 9 a factor of w? True Suppose -v - 3*v + 268 = 0. Does 24 divide v? False Let i(u) = 5*u - 6. Suppose -3 + 4 = -3*g + 4*o, o - 4 = 0. Is 13 a factor of i(g)? False Let o = 165 - 54. Does 45 divide o? False Suppose 3*p + 15 = 0, b - 2*b - 22 = 5*p. Suppose -c + 4 = -3*c, 5*c = -b*d + 17. Suppose 0 = 4*k - 19 - d. Does 3 divide k? False Is 7 a factor of (-476)/(-30) - (-6)/45? False Let g = 31 + -19. Suppose 2*v = 2*c - 38, 5*v + g = -8. Suppose 0 = 5*x - c + 5. Is x a multiple of 2? True Let j be 5/(-30) + (-178)/12. Is ((-81)/j)/(2/10) a multiple of 27? True Suppose 2*f = f + 40. Is 5 a factor of f? True Suppose 5*x - 75 = -5*w, 3*w + 12 = 7*w. Suppose -i = i - x. Is 5 a factor of i? False Let k(s) = 2*s**2 + 2*s. Let y be k(2). Let r = y - 5. Is r a multiple of 2? False Let h(u) = 5*u**2 + 7*u + 5. Let n(x) = -2*x + 3. Let z be n(4). Let c be h(z). Suppose 5*j = 5*y + c, -j + y = 4*j - 115. Is 8 a factor of j? True Let a(t) = t**3 + 3*t**2 - 2. Let i be a(-2). Suppose -4*j + 54 = i*x, -4*j - 10 = x - 61. Is 4 a factor of j? True Suppose 2*l + 358 = 5*j, 2*l + 354 = 5*j + l. Does 14 divide j? True Let l(a) = a**3 + 9*a**2 + 8*a - 4. Let v be l(-8). Let b = v - -18. Is b a multiple of 5? False Let f = -11 + 5. Let s(k) = 6*k - 8. Let i be s(7). Let r = i - f. Does 20 divide r? True Let o(g) = 4*g**2 + 5*g + 2. Let m(a) = -8*a**2 - 9*a - 3. Let j(u) = -4*m(u) - 7*o(u). Let d be j(-2). Let c = 31 + d. Is c a multiple of 20? False Let m = 340 - 94. Let y = -138 + m. Is 36 a factor of y? True Suppose 2*z = 3*c - c + 170, c = -4*z + 335. Does 28 divide z? True Suppose -6*x = -11*x + 410. Suppose 4*l - x = -9*v + 4*v, -5*l = 2*v - 43. Is v a multiple of 14? True Suppose 4*d + 5*q = -12, -2*d = -3*q + 6 - 22. Suppose 2*f + 15 = 4*n - 17, d*n + 2*f = 16. Is 3 a factor of n? False Let a = -99 + 156. Is 15 a factor of a? False Suppose 0 = -4*l + 233 + 199. Does 29 divide l? False Let q = 327 + -131. Suppose -3*j = b - 60, -b - j = 3*b - q. Is b a multiple of 16? True Suppose -t = 7 - 2. Let h = t - -13. Is h a multiple of 5? False Let h be (-4 + -21)*-3 - -2. Suppose 5*n + 4 = 3*u + h, 16 = 4*u. Does 5 divide n? False Suppose 794 = 9*j + 11. Does 23 divide j? False Let g(q) = 2*q**3 - q + 0 + 1 + 0 - q**3 + 2*q**2. Is 3 a factor of g(-2)? True Let n(p) = -2*p + 3. Let w be n(-3). Let c = w + 18. Does 12 divide c? False Suppose l - 44 = -l. Suppose -3*i + h = 2*h + 38, 5*i + 70 = -5*h. Let a = l + i. Is 5 a factor of a? True Suppose -4*o + 42 = -2. Suppose -4*j + 21 + o = 0. Is j a multiple of 5? False Suppose -x + 47 - 20 = 0. Is x a multiple of 5? False Let x = -49 + 64. Does 4 divide x? False Let k = 3 + -1. Suppose -17 = -k*m - 3. Is 7 a factor of m? True Suppose 3*h - 180 = -2*h. Does 11 divide (12 - 15) + 1*h? True Suppose 72 = 2*o + 2*u, 2*u + 138 - 18 = 4*o. Let d = o + -18. Is d a multiple of 4? False Let s be 6*(2 - (-5)/(-3)). Let x(v) = -1 - 3*v - 6*v + s*v. Is 7 a factor of x(-2)? False Suppose 0*q - 107 = -q. Suppose q = 5*j + n, 2*j + 0*n - 44 = -n. Is j a multiple of 7? True Let a be -19 + 2 + (-2)/2. Let q be (24/10)/(8/(-40)). Let v = q - a. Is v a multiple of 6? True Suppose 2*w - 28 = 4. Does 9 divide 15/(w/12 - 1)? True Let g(l) = 67*l**3 - 2*l**2 + 4*l - 3. Does 12 divide g(1)? False Suppose -40 = -7*z + 30. Is 2 a factor of z? True Suppose -60 = 5*r - c, -11 = 3*r - 5*c + 3. Does 8 divide (-102)/r + 2/13? True Suppose 5*h - 3*a = -25 + 61, 0 = -2*h - 4*a + 30. Is 9 a factor of h? True Suppose 2*d + 3*d = 5*k + 1265, 0 = -5*d + 3*k + 1271. Is 26 a factor of d? False Let s(z) = -z**3 + 4*z**2 - 10. Is s(-3) a multiple of 11? False Does 33 divide ((-16)/(-28) + (-2278)/(-56))*8? True Let m = 4 - 4. Suppose 4*t + 0*t = m. Is (7 + -2 + t)*4 a multiple of 8? False Let w(s) = -s**2 - 4*s + 1. Let g be w(-4). Is 105/4 + g/(-4) a multiple of 13? True Let g be 19/2 + 3/(-6). Let n be (-6)/g + (-1174)/(-6). Suppose -w - 2*w - m = -101, 5*w - n = 5*m. Is 17 a factor of w? False Let t be ((-143)/(-65))/((-1)/(-5)). Let m(n) = n**2 - 9*n - 13. Is m(t) a multiple of 7? False Let k = 43 - 7. Let r = k + -24. Is r a multiple of 12? True Let d(u) be the second derivative of 0 + 2*u**2 + 1/20*u**5 - 3*u - 2/3*u**4 - u**3. Is d(9) a multiple of 16? False Suppose 2*a + 10 = 5*k, 2*a - 6*a - 2*k = -28. Sup
{ "pile_set_name": "DM Mathematics" }
9 + 29.4. Let x = 0.7 - 0.71. Let b = 0.21 + x. Put -0.3, b, p in increasing order. -0.3, b, p Let r(h) = -h**3 + h + 2. Let j be r(0). Let d = 2 + -1. Suppose 0 = -8*l - 0*l + 24. Sort l, j, d. d, j, l Let l be (-1)/(-4) + (-69426)/(-56). Let u be (-416)/l - 4/(-10). Let d = u + 56/93. Sort -4, -1, d in decreasing order. d, -1, -4 Let n = -80 - -90. Suppose 5*k + 5*d = -20, 2*d = 3*k - 3 + n. Sort -4, -7, k in decreasing order. k, -4, -7 Let d = 12 + -7. Let j = -4.8 + d. Let a = -195 + 1563/8. Put a, j, 4 in descending order. 4, a, j Let l = -0.069 - -36.069. Let m = 35 - l. Put 0, 0.2, m, -0.04 in ascending order. m, -0.04, 0, 0.2 Let u be 18 - (0 - 0)/(-1). Let h be 4/20 + u/10. Let t be 126/(-33) - h/11. Sort -5, t, -2 in decreasing order. -2, t, -5 Let n = 15 - 10. Suppose -12*v - 65 - 31 = 0. Sort 0, v, n in increasing order. v, 0, n Let g(l) = -l**3 + 3*l**2 + 5*l - 2. Let x be g(4). Suppose 2*f - 4*f + x = 0. Suppose -7 = 4*b + f. Sort b, 1, 4 in decreasing order. 4, 1, b Let s be 2/18*-47 + (-235)/(-47). Put s, -4, -0.5, 8 in decreasing order. 8, s, -0.5, -4 Let g = -310/7 - -327/7. Sort 1, 5, 4, g. 1, g, 4, 5 Let f = 62/759 + 4/759. Sort -5, -9, f in ascending order. -9, -5, f Let q = 175 - 177. Sort 6, q, 1 in decreasing order. 6, 1, q Let h be (-260)/(-45) + (-10)/(-45). Let p be -1*(h/(-10))/(81/(-30)). Sort p, -1/6, -10, -0.2 in descending order. -1/6, -0.2, p, -10 Let r be -1 + 4 + -6 + 5. Sort r, 0, 6, 3 in decreasing order. 6, 3, r, 0 Suppose k + 6 = d, 5*d + 0*k = 2*k + 21. Suppose 5*l + 0*b = -5*b, d*l - b - 16 = 0. Let p = -208 - -208.5. Sort p, 3, l in ascending order. p, 3, l Let a = -0.53 + 0.63. Put 0.2, 22, a in ascending order. a, 0.2, 22 Let x = 54.4 + -54.2. Sort 15, -2/5, -3, x in increasing order. -3, -2/5, x, 15 Let u be 2*10*(-1)/(-4). Suppose 0 = -5*b + 3*b. Suppose 8 = -2*l - b*l. Sort l, -3, u in descending order. u, -3, l Let z = 1.6 - 1.9. Let t = -0.088 - 7.912. Put 1/9, -2, t, z in ascending order. t, -2, z, 1/9 Let p = 4175/13 - 321. Let b = -1236.17 - -1229. Let h = b - -0.17. Put p, h, 1/4 in decreasing order. 1/4, p, h Let p be (-13)/(-26)*(1 - -1). Let q be (8/(-16))/(4/24). Put p, q, 3 in descending order. 3, p, q Let c = -0.317 - -0.517. Let j = -0.8 + 0.3. Sort j, c, -7, -2. -7, -2, j, c Let v be (-2)/(-9) + (-4 - (-125)/45). Let u = 74.02 + -74. Sort v, -3, u. -3, v, u Let k(u) = 4*u**3 - 16*u**2 - u. Let s be k(4). Put s, 37, 1, 4 in increasing order. s, 1, 4, 37 Let z = 23 - 24. Sort 1, z, -6 in ascending order. -6, z, 1 Suppose -144*r + 169 = -131*r. Sort -4, 0, r, 3 in increasing order. -4, 0, 3, r Suppose -2*f + 0*f - 3*k = -15, -4*k = f - 15. Put f, -35, 2 in ascending order. -35, 2, f Suppose -4*v - 17 = -5*s + 4*s, -2*s - 3*v = 10. Let f = 2 + s. Let i = 5 - f. Put -2, i, -5 in ascending order. -5, -2, i Let h be (-4)/(-16) + (-17)/4. Suppose 0 = 2*i + 8 - 6, 4*i + 6 = -r. Suppose y = -2*y - 15. Put r, h, y in increasing order. y, h, r Let t be 6/(-21) - 90/(-21). Let m be (-1 + 14/4)*(377 + -379). Sort m, 0, t. m, 0, t Suppose -40 = 3*q - 1. Let y = -3 - q. Suppose 6*a - y*a = -20. Put -5, a, 1 in increasing order. -5, 1, a Let h = -1 - 2. Let v(s) be the second derivative of s**4/12 - 10*s**3/3 - s**2/2 - 10*s. Let z be v(20). Sort h, -4, z. -4, h, z Let u = 6.1 - 6.18. Let g = u + 0.18. Let x = -3.4 + 3. Sort g, -4, x. -4, x, g Let k = -22 - -31. Let m(g) = -3*g**2 - 24*g - 17. Let v be m(-7). Suppose -v*h = 1 - k. Sort h, 6, -3 in descending order. 6, h, -3 Let q(h) = h**2 - 2*h**2 + 0*h**3 - h**3 - 2*h**2 + 3. Let n be q(-3). Suppose -y - 4*y = 0. Sort n, 7, y. y, n, 7 Let d(p) = -4*p - 11. Let a(m) = m - 9. Let f be a(5). Let n be d(f). Put 3, 2, n in ascending order. 2, 3, n Let b be (12/5)/2 + 23/(-115). Sort 2, b, 3, -4 in ascending order. -4, b, 2, 3 Let s(f) = 5*f**2 + 2*f + 3. Let i be s(-2). Suppose -4*d + i = -21. Let r be ((-4)/d)/((-4)/10). Sort 4/9, r, 3. 4/9, r, 3 Suppose -5*l + 11 - 1 = 0. Let o be 1/(l/(0 - 2)). Suppose 9*u = -17 - 19. Sort 4, o, u in decreasing order. 4, o, u Let b(m) = -15*m + 243. Let p be b(16). Put -1, 4, 2, p in ascending order. -1, 2, p, 4 Let f = 0.0257 + 0.1743. Put 6, f, 4, -2 in decreasing order. 6, 4, f, -2 Let d(c) = -2*c - 24. Let h be d(8). Let a = -36 - h. Sort a, -3, 5, -5. -5, -3, a, 5 Suppose -2*z + 22 = -4*n, -5*z = -3*n + 3 - 30. Put -46, 5, n in ascending order. -46, n, 5 Let k be (2/4 - (-11 - -12))*72. Let f = 40 + k. Put f, -5, 18 in ascending order. -5, f, 18 Let k = 1 + -3. Let r = k - -3. Suppose 3*c + i + 16 - r = 0, 0 = -5*c + 4*i - 25. Sort 3, -3, c in decreasing order. 3, -3, c Let u be 2/(((-240)/(-200))/(3/(-20))). Put u, -6, 6 in decreasing order. 6, u, -6 Let u = 5.695 - 5.7. Let v = u - 0.005. Sort v, -1, 1/8 in descending order. 1/8, v, -1 Let k = 73.1 + -73. Let j = -8818/21 + 420. Sort j, k, 1 in descending order. 1, k, j Suppose 4*l = -w + 1 + 2, 3*l + 2*w - 6 = 0. Let o = l + 1. Suppose -91 = 8*p - 115. Sort o, p, -5 in decreasing order. p, o, -5 Let n = 718 + -718. Sort -6, 23, n in descending order. 23, n, -6 Let m(h) = h**2 - 12*h + 19. Let w be m(10). Put -3, w, 17, 2 in ascending order. -3, w, 2, 17 Let s = -722.81 - -723. Sort 1, s, 0 in decreasing order. 1, s, 0 Let a = 1298 + -1289. Sort 2, 0.5, a. 0.5, 2, a Let z(k) = -k - 31. Let n be z(-28). Let h = 7 - 11. Put 5, n, h in descending order. 5, n, h Let a = -11 - -15. Suppose a*h - 8 = -0. Let c = -4 - -9. Sort h, c, 1 in descending order. c, h, 1 Let i = 0.1 - -0.9. Let l = -3.2 + 3.03. Let u be (525/(-240) + 2)/((-1)/(-4)). Put u, i, l in descending order. i, l, u Let s = -0.2 - -0.22. Let q = s - 0.16. Let m = -1.14 - q. Sort 0.4, 0.1, m. m, 0.1, 0.4 Suppose 7 + 1 = -2*v, 0 = -x - 3*v - 16. Suppose -4*b = f - 16 + 1, 0 = 4*b + 2*f - 14. Sort b, x, -1 in descending order. b, -1, x Let d = 463 + -463.4. Sort d, -6/23, -5. -5, d, -6/23 Suppose 0 = -7*m - 15 + 113. Sort -5, m, 0, 4 in ascending order. -5, 0, 4, m Let d = 4 - 1. Suppose -21 = d*l + l - 5*k, -5*l - 30 = -5*k. Put l, -1, -4 in descending order. -1, -4, l Let q be (-3 + 187/66)/(2/12). Let i(c) = -c**3 + 3*c**2 - 2*c. Let k be i(2). Put q, k, -11 in decreasing order. k, q, -11 Let y = -126 + 120. Sort y, 0.06, -1/7. y, -1/7, 0.06 Let d be 2/(-6) + (-7)/6. Suppose -2*j - j - 2*a + 30 = 0, 0 = 2*j - 4*a - 36. Let y be (-3)/(j/(-16)) + 0. Sort y, d, 0.1 in descending order. y, 0.1, d Let m = 51.6 + -55.6. Sort -0.02, 3, m in decreasing order. 3, -0.02, m Let g be (0 + 0)*(4 - 3). Suppose 2*q - 2 = 8. Suppose 0 = -3*o + v - q*v - 2, -4*v + 12 = -4*o. Sort g, -3, o in descending order. g, o, -3 Let u = -68 - -6. Let w = -62 - u. Let y be (0 + 6/(-4))/(-6). Put w, -0.4, y in decreasing order. y, w, -0.4 Let l = 0.0095 + 0.3905. Sort -3/7, l, 6 in ascending order. -3/7, l, 6 Let p be 31/(-62)*(0 - 10). Put 2, p, 19 in descending order. 19, p, 2 Let g(h) be the third derivative of h**6/120 + 11*h**5/60 - 2*h**3/3 + 13*h**2. Let l be g(-11). Put -2, l, -1 in increasing order. l, -2, -1 Suppose -3*v + 57 = -5*a, 3*a + 0 + 7 = -5*v. Sort -7, a, 3 in ascending order. a, -7, 3 Let n = -14.9442 - 0.0558. Sort -2/13, n, -0.1 in descending order. -0.1, -2/13, n Let h be ((-84)/126)/((-5)/((-30)/(-28))). Let b = 0.32 + -0.12. Sort h, 0.5, b, -1 in increasing order. -1, h, b, 0.5 Let w = -26 + 21. Let m be (-27)/(-21) + 2/(-7). Sort w, 2, m. w, m, 2 Let v = 0.9 - 3.4. Let z = v + 10.5. Sort 2/9, -2, z in ascending order. -2, 2/9, z Suppose -2*t = -0*t + h + 11, -3*h = 5*t + 28. Let q(i) = 5*i**2 + 51*i + 11. Let b be q(-10). Put t, b, 4 in ascending order. t, b, 4 Let g be 6/(9 - 27) - 6/(-45). Put 0.4, -3, g, -13/5 in decreasing order. 0.4, g, -13/5, -3 Let g = -0.051 - 10.949. Let r = 0.082 - -0.118. Put 0.1, r, 0, g in decreasing order. r, 0.1, 0, g Let m be 835/(-5) + (-3)/1. Let x be 59/m*54/63. Let z = -1/85 - x. Sort 5, -0.5, z in ascending order. -0.5, z, 5 Let k be -3*(11/(-3) + 2). Suppose 0 = -k*f + 4 + 16. Let c be (24/(-126))/(-6 + 144/21). Sort f, c, 1/8. c, 1/8, f Let u = -1/7 - 0. Let j = 235 - 235.19. Put 3/7, u, j in decreasing order. 3/7, u, j Let k = -145 - -147. Put k, 5, 17 in ascending order. k, 5, 17 Let q = 1146 - 1136. Sort q, 5, -21. -21, 5, q Suppose -7*d = -4*d + 9, -4*d -
{ "pile_set_name": "DM Mathematics" }
)/(-80) + -4 + 1/(-8). Suppose i = t - 488 + 484. What is the nearest to -4 in -0.4, 0.02, t? -0.4 Let a be (12/(-44))/((-27)/2079) - 10. What is the nearest to -0.1 in 2/19, -205, -1/5, a? -1/5 Let v be 4/8*-4 - 51/(-21). What is the nearest to 0.1 in 0.03, -0.3, v, -4/3? 0.03 Let v = 137 + -137. Suppose 5*w - 4*u - 40 = v, -31 = -4*w + 4*u + 5. Which is the nearest to -0.1? (a) w (b) -31 (c) -2/9 c Let d be (-12)/42 + 23/56. Let u = 34 - 32.8. Let i = u - 4.2. What is the nearest to 0 in -5, i, d? d Let l = -22002.3 - -22000.3. Let g = 0.06 - -0.74. What is the closest to g in l, -5, -1/2, -4? -1/2 Let y = -231.31 + 231. Let h = y + -2.69. Let f be ((-2)/(-8))/(5/12). What is the nearest to -1/7 in 3, f, h? f Let z = 4/353919 - 1061773/1415676. Let t = 2 - 2. Suppose -2*u + 0 - 2 = t. Which is the nearest to 1? (a) z (b) u (c) -1/7 c Let y = -9976 - -9976. What is the closest to y in -0.17, -1, -3? -0.17 Let q = -598 + 599. Let h = 0 + 4. Let d = 229.8 + -230. What is the nearest to q in -0.3, h, d? d Let l(j) = -j**2 + 23*j + 330. Let r be l(-10). Which is the closest to 14? (a) -3 (b) 2 (c) -0.2 (d) r b Suppose 3*j = 4*c - 7, 0 = 6*c - 4*c - 2*j - 2. Let q be (-50)/((-12)/c - -4). What is the nearest to -1 in 3/2, -3/7, q? -3/7 Let l = 986 + -983. Let n = 2.08 + -2. Let y = -0.08 + n. What is the nearest to 0 in 2, y, l? y Let j(z) = -z**3 + 9*z**2 + 73*z + 85. Let p be j(-4). Which is the nearest to -0.3? (a) 0.07 (b) p (c) 2/5 (d) -4 a Let q = 884 + -4421/5. What is the nearest to -0.2 in 3, -35, q, 0.5? q Let k = -559/213 - -62/213. What is the nearest to -0.8 in 0, k, -3/5? -3/5 Let k = 0.513 - 0.443. Let p be ((-7)/(224/24))/((-2)/8). What is the nearest to k in -2, p, 4? -2 Let q be (728/16)/(-7) + 8. Let n = 31.6 + -42. Let m = -10 - n. Which is the nearest to m? (a) q (b) -0.1 (c) 2/11 c Let h = 37.31 - 4.01. Let g = h + -33. Which is the closest to 3? (a) 0 (b) 3/5 (c) g b Let i = -0.3 + -0.7. Let k = -205357 + 821425/4. Which is the nearest to i? (a) -12 (b) k (c) -0.3 (d) -0.5 b Let n = -0.04 + -3.96. Let f = -400.24 + 398.24. Suppose -3*l - 2*p = 7, -2*p - 13 = -l - 2*l. Which is the closest to l? (a) -5 (b) f (c) n b Let k = -0.321 + 1.321. Let w be 44/(-396)*(1 + -7). Which is the nearest to -1? (a) 20/7 (b) k (c) w c Let d = -57.7 + -19.3. Let s = d - -77. Which is the nearest to s? (a) 0.4 (b) 0.3 (c) -4/5 b Suppose 21*c = -20*c + 23*c. What is the closest to c in 2.58, -1/6, -0.4? -1/6 Let i = 75 + -74.8. Let p = 0.31 - 5.31. Let b = -4 - p. What is the closest to b in 2/13, i, -0.5? i Let d = -0.6355 - -0.1355. What is the nearest to -56 in 0.4, d, 2? d Let o = -8 + 8.1. Let v = 0.07012 + -6.07012. Which is the closest to -1? (a) o (b) 1.8 (c) v a Let p = 5307/35 - 761/5. Which is the closest to p? (a) -11 (b) -2 (c) -1/10 (d) 0.2 c Let a = -3603 + 3570. Let c = 28 + -113/4. What is the closest to 0 in 0.1, c, a? 0.1 Let g(y) = -75*y - 1273. Let n be g(-17). What is the closest to 0 in 2/9, n, -4, 2/13? 2/13 Let q be (-152)/228*6/4. What is the nearest to q in 1/18, -1/11, 5? -1/11 Let h = -1.2 + 1. Suppose 0 = -d - 4*j + 22, 3*d - 2*j = -3*j + 22. Which is the closest to 0.1? (a) 1 (b) h (c) d b Suppose -7*r + 12 + 9 = 0. Suppose f = -z + 42, 4*f - 2*f + r*z = 85. Suppose 0 = -t + f - 42. What is the closest to -1 in 2/13, t, 0.2? t Let u = -28358 - -141792/5. What is the closest to -1/3 in -2, u, -13, -2/3? -2/3 Let d = 472.1 - 524. Let f = d - -51.9. What is the closest to -2/3 in 5, -0.2, f, -2/19? -0.2 Suppose 0 = 2*y - 31*y - 232. Let g(h) = 43*h + 343. Let u be g(y). Which is the nearest to 3? (a) u (b) -4 (c) 1/3 (d) -1/3 c Let u = 2.88149 + 0.11851. Let h be (0 - -1) + (-42)/28. What is the nearest to h in -44, u, -1? -1 Let u be (-7)/28 - (-446)/(-8). Let y = u + 169/3. Which is the nearest to y? (a) 5 (b) 0 (c) 3 b Let w = -2127.6 + 2128. Which is the closest to -16? (a) -1 (b) -1/5 (c) w (d) -5 d Suppose 5*t - 7*k - 499 = 0, 20*k - 17*k + 103 = t. Let f = -311 - -184. Let u = f + t. What is the closest to -2 in 0.3, -4/3, u? -4/3 Suppose 0 = 31*f - 17*f - 70. Let u be (f/10)/1*-2. What is the nearest to u in -1, 5, 19? -1 Let y = 2778 - 2777. Which is the nearest to -6? (a) 1/4 (b) 7 (c) y a Suppose -5 = 12*w + 31. Let x = -4/15 + -2/5. What is the closest to x in -4/49, w, -1? -1 Let m = 4 + -8. Let h = -382.72 + 385.72. Which is the nearest to 3/7? (a) 1 (b) m (c) h a Let g = -3 + 3.5. Let i = -43.4 - -44. Let p = i - g. Which is the closest to 3? (a) -0.2 (b) p (c) -0.4 b Let f = -38.6 + 38.7. Suppose -4*w = 2*y + 32, 8 - 23 = 3*w. Which is the nearest to y? (a) f (b) -2/9 (c) 8 b Let p = 21010589/84 - 250137. Let o = p + 76/7. What is the closest to 7 in 3, -0.4, o? 3 Let x = -0.259 - -1.259. Let y = 43 - 43.1. Which is the closest to y? (a) x (b) -1 (c) 0 c Let g = -67.5 - 89.4. Let x = -157 - g. Let c = 3.2 + -3. What is the closest to x in -0.3, c, 0.5? -0.3 Let i be (-6)/4*-7*(-24)/420. Let z = -0.09 - 0.11. What is the nearest to i in 3, z, -2/11? z Let w = -330162 + 330167. Suppose 5 + 3 = 4*q. Which is the closest to -0.05? (a) w (b) 0.4 (c) q (d) -5 b Let g be (-5)/((-70)/12) + (-2 - -1). Let k = 322.2 - 324.2. Which is the closest to 7? (a) k (b) g (c) 2/5 c Let c = 98.87 - 101.87. What is the closest to 2/7 in c, 2/35, 2? 2/35 Let i = -4 + 4.1. Let r = 0.1 + i. Let d = -109/159 + 1/53. Which is the closest to r? (a) 4 (b) 3 (c) d c Let i = -5098.1 + 5098. What is the nearest to -1 in 19, i, -26, -5? i Let t = 820 + -681. Let c = t + -143. What is the closest to -0.1 in -12, c, 2/5? 2/5 Suppose k - 11 = -4*f, f - 5*k + 20 = -2*k. What is the nearest to f in 0, 3/4, -4, 1.65? 3/4 Suppose 62*p + 138 = -110. Let t = 1 - 3. What is the closest to 0 in p, t, -10? t Let k = -0.58 + 0.98. Let i be ((-4)/(-14))/(5/5). Let q = 0.3 - -0.2. What is the nearest to i in q, 0, k? k Let j be (-2)/(-3)*(-42)/(-56). Let x = 241.3 - 241.6. Let r = -3.8 + -1.2. What is the nearest to j in x, -5/4, r? x Let n = 438 + -530. Let h = n + 90. Which is the nearest to -4? (a) h (b) 3/5 (c) 0.3 a Let v = -4.51 - -5. Let z = v - 0.39. Let x = -1349 - -1351. What is the nearest to 0 in -0.2, x, z? z Let t = -219 - -299.6. Let q = -80.3 + t. Which is the closest to q? (a) -1/7 (b) -5 (c) 0.2 c Let u = -186 + 182. Let w = 10.835 - -0.165. Which is the nearest to 2? (a) w (b) u (c) 0.3 c Let d = 10 + -15. Suppose 8*k = 3*k - 10, 0 = 2*i + 4*k - 2. Let j = 4.9 + -1.9. What is the closest to -0.2 in d, j, i? j Let v be 254/12 - 22 - 2/4. Let t(y) = -y - 3. Let k be t(-4). Which is the nearest to k? (a) 2.9 (b) 1 (c) v b Let j = 548/1869 - 2/267. Let v = -0.16721 - -0.34721. Which is the nearest to 0.1? (a) j (b) 0.1 (c) v b Let y = -416 + 86. Let u = -330 - y. Let x = -0.4 - 0. Which is the closest to u? (a) 5 (b) x (c) -3 b Let z = 16915.1 + -16915. Which is the closest to 12? (a) -10 (b) -2/15 (c) 0 (d) z d Let r = 8 + -8.6. Let s = r - 3.4. Let p = -33/80 - -259/240. Which is the nearest to s? (a) 2/11 (b) 0.5 (c) p a Let p = 9411 + -84701/9. Let d = 0.5 + 0. Let h be 5/(-2)*4/15. Which is the nearest to p? (a) h (b) d (c) -0.4 c Let i be (-4)/(-14) - (163737/10731 - 15). Let q = -23/100 - 1/50. Which is the closest to -0.2? (a) i (b) -0.2 (c) q b Let t be 2270/227 - ((-78)/(-10) - -2). Which is the nearest to 8/7? (a) -4 (b) 0.4 (c) t b Let o = -70 + 130. Let f = -61.8 + o. Let r = 1.7 + f. Which is the nearest to 2/3? (a) r (b) 1 (c) -0.3 b Let g = 46.1 + -48.29. Let r = 1.19 + g. Let h = 1 - 0. What is the closest to 2/5 in -5, r, h? h Let w = 314.41 + -309. Let t = -5.4 + w. Let r = 1623/13 + -125. Which is the closest to 0? (a) r (b) -0.5 (c) t c Let b be (264/(-30))/(-22)*(13 + -3). What is the nearest to -54 in -3, b, 51? -3 Let t = 19.9373 + -0.9373. Let a = -0.14 + -0.06. What is the closest to -1 in a, t, 3? a Let n = 0.3957 - -2.6043. Which is the closest to n? (a) -7 (b) 2 (c) -2 (d) -15 b Suppose -4*v + 10 = -5*v. Let t(h) = -h**2 - 3. Let i(l) = 1. Let r(q) = v*i(q) - 2*t(q). Let k be r(-2). What is the closest to -0.1 in k, 6, 2/9? 2/9 Let i be (315/(-162) - (-6)/4)/((-32)/(-144)). What
{ "pile_set_name": "DM Mathematics" }
f -65/604 and 107/2748072. 414958872 Calculate the lowest common multiple of 41981355 and 30875. 1049533875 Find the common denominator of 181/25704 and 179/2050608. 18455472 Calculate the least common multiple of 421281 and 40824. 30332232 Calculate the common denominator of 151/248509326 and -3/16. 1988074608 Find the common denominator of 163/54704490 and -13/98468082. 492340410 Calculate the least common multiple of 111707 and 8364. 54959844 Calculate the common denominator of 35/228653 and -49/415581. 56934597 What is the least common multiple of 224802 and 13937724? 13937724 Calculate the smallest common multiple of 120911 and 770526. 124054686 What is the common denominator of -76/9 and 7/3106078? 27954702 What is the common denominator of -41/180193632 and -17/96? 180193632 What is the common denominator of 99/516698 and -103/2992306? 272299846 What is the common denominator of -23/286 and -81/6040762? 66448382 What is the smallest common multiple of 763344 and 4155984? 37403856 What is the common denominator of -26 and -40/5795741? 5795741 What is the common denominator of 1/27 and 62/114906819? 1034161371 Calculate the least common multiple of 6056052 and 6056052. 6056052 What is the common denominator of 57/55 and 18/10229? 562595 What is the least common multiple of 57 and 15807246? 300337674 Find the common denominator of -29/21439594 and -35/198. 192956346 Calculate the least common multiple of 292050 and 954525. 337901850 Calculate the lowest common multiple of 3250248 and 3114821. 74755704 Calculate the common denominator of -101/17212292 and -49/205. 86061460 What is the least common multiple of 224048 and 10296? 26213616 What is the least common multiple of 60 and 4302090? 8604180 What is the smallest common multiple of 3172106 and 14? 3172106 What is the common denominator of -29/90 and 23/513312? 7699680 What is the least common multiple of 12020343 and 3771088? 192325488 Calculate the common denominator of 97/11924 and 20/257179. 11315876 Find the common denominator of 41/1558174 and -11/6. 4674522 What is the lowest common multiple of 1347543 and 1197816? 10780344 Calculate the common denominator of 59/37461843 and 12/4631. 412080273 What is the smallest common multiple of 1280015 and 6632805? 72960855 Calculate the common denominator of 111/57880 and 109/2110. 12212680 Calculate the common denominator of -87/32 and -21/1068719. 34199008 Calculate the common denominator of 29/11169742 and -97/6. 33509226 What is the common denominator of 41/6664 and -41/260372? 3645208 What is the smallest common multiple of 92536380 and 9648? 370145520 Calculate the smallest common multiple of 104 and 7679984. 7679984 Calculate the lowest common multiple of 4046039 and 6. 24276234 Calculate the common denominator of 113/5412 and 53/548. 741444 Calculate the common denominator of -125/645192 and 59/684. 12258648 Calculate the least common multiple of 30 and 6034775. 36208650 Calculate the common denominator of 69/40 and -5/5303704. 26518520 What is the common denominator of -95/8 and -49/24759432? 24759432 Calculate the common denominator of -83/2036472 and 67/99278010. 397112040 What is the lowest common multiple of 5462496 and 326816? 38237472 Find the common denominator of 161/19391322 and -93/578. 19391322 What is the common denominator of -13/944 and -27/1669228? 6676912 Calculate the common denominator of -133/112590 and 67/1701. 2364390 What is the lowest common multiple of 12 and 3005244? 3005244 Calculate the common denominator of 97/1216 and -57/47186624. 896545856 Calculate the common denominator of -37/472142 and 101/209631048. 209631048 Calculate the least common multiple of 170478 and 76356. 34436556 What is the smallest common multiple of 28615 and 5310? 515070 Find the common denominator of -69/1414 and 23/2546756. 1800556492 What is the common denominator of 43/302967 and 125/76734? 17572086 What is the least common multiple of 5404 and 12594? 34028988 What is the lowest common multiple of 681771132 and 45? 3408855660 Calculate the common denominator of 95/1212834 and 55/173262. 1212834 Calculate the common denominator of -45/10367 and 11/10623213. 74362491 What is the least common multiple of 44543520 and 141408? 44543520 What is the smallest common multiple of 888 and 14797484? 88784904 Find the common denominator of -2/30791 and 23/10869223. 10869223 Find the common denominator of -85/900417 and 82/357. 15307089 Calculate the common denominator of 7/202589 and 18/354229. 4221346993 Calculate the lowest common multiple of 13214832 and 14866686. 118933488 What is the lowest common multiple of 66591 and 25837308? 25837308 Calculate the least common multiple of 3245086 and 1372921. 35695946 Find the common denominator of -101/23482980 and 71/13046100. 117414900 What is the lowest common multiple of 864225 and 22920750? 527177250 What is the common denominator of -17/29867013 and 74/184527? 209069091 Calculate the least common multiple of 341448 and 1060. 90483720 What is the common denominator of -75/8 and -13/50022436? 100044872 Calculate the common denominator of 17/6552 and 163/215586. 11210472 What is the least common multiple of 2 and 52252040? 52252040 Calculate the least common multiple of 9804 and 427284. 349091028 What is the smallest common multiple of 6360 and 77142984? 385714920 What is the smallest common multiple of 7166614 and 102986? 121832438 What is the common denominator of 31/114 and -23/927858? 17629302 What is the least common multiple of 475112 and 26829? 1158798168 What is the common denominator of -57/365 and -11/303605? 22163165 Calculate the lowest common multiple of 884736 and 25920. 13271040 Calculate the common denominator of 62/33 and 40/13329387. 146623257 What is the lowest common multiple of 3891006 and 378? 11673018 Calculate the least common multiple of 2095 and 4683582. 23417910 What is the least common multiple of 5115583 and 22? 10231166 Calculate the least common multiple of 1355958 and 10082. 96273018 What is the smallest common multiple of 2205434 and 5613832? 61752152 What is the common denominator of -77/1690 and 11/6394791? 63947910 Calculate the common denominator of 9/1319080 and -23/17201880. 842892120 Calculate the common denominator of -81/6604 and 37/2765. 18260060 Find the common denominator of -71/3234044 and -73/176. 12936176 What is the common denominator of 41/529836 and -29/111? 19603932 Calculate the lowest common multiple of 6 and 21514490. 64543470 What is the common denominator of 149/356934 and -107/217968? 682457808 What is the smallest common multiple of 2398071 and 130212? 28776852 What is the least common multiple of 480301 and 12588942? 239189898 What is the lowest common multiple of 18583133 and 6333? 55749399 What is the smallest common multiple of 21899349 and 6? 43798698 Calculate the common denominator of 143/2380 and -181/8114610. 16229220 Find the common denominator of -71/448380 and -1/1400. 31386600 What is the common denominator of -47/1460 and 53/37880? 2765240 What is the common denominator of -109/1916156 and 28/1437117? 5748468 Calculate the common denominator of -63/17835830 and -69/2110. 17835830 Calculate the lowest common multiple of 99176 and 17008684. 34017368 What is the lowest common multiple of 7379 and 17783766? 2792051262 Calculate the common denominator of 137/18514590 and 91/266610096. 1333050480 Calculate the common denominator of -17/1056 and -29/26648952. 106595808 Calculate the common denominator of 115/299112 and 145/12744. 158828472 Find the common denominator of -109/4140 and 127/33314580. 33314580 Find the common denominator of -109/52040400 and 187/7653000. 260202000 Calculate the least common multiple of 41040 and 309096. 58728240 What is the lowest common multiple of 167752 and 311309? 32376136 What is the common denominator of -133/5530488 and 89/932? 5530488 Calculate the least common multiple of 7307676 and 3168640. 1169228160 What is the lowest common multiple of 282653580 and 155459469? 3109189380 Calculate the common denominator of -11/14 and 61/1124304862. 7870134034 What is the common denominator of -9/111576224 and 101/50016928? 1450490912 What is the common denominator of 46/11 and -47/18782510? 206607610
{ "pile_set_name": "DM Mathematics" }
- 268912 = 0. -1372 Factor -4*r**2 - 376*r + 1164. -4*(r - 3)*(r + 97) Factor -3*z**3 + 213*z**2. -3*z**2*(z - 71) Factor -3*z**2/2 - 3141*z - 3288627/2. -3*(z + 1047)**2/2 Factor d**4/5 - 22*d**3/5 - 47*d**2/5 - 24*d/5. d*(d - 24)*(d + 1)**2/5 Let 3*v**2/7 - 495*v/7 - 216 = 0. What is v? -3, 168 Factor -d**2 + 58*d + 59. -(d - 59)*(d + 1) Factor -2*a**2/13 + 184*a/13 - 704/13. -2*(a - 88)*(a - 4)/13 Determine u, given that -6*u**5/7 + 3*u**4/7 + 9*u**3/7 - 3*u**2/7 - 3*u/7 = 0. -1, -1/2, 0, 1 Suppose -2*u**5/7 - 20*u**4/7 - 74*u**3/7 - 120*u**2/7 - 72*u/7 = 0. What is u? -3, -2, 0 Determine z so that -2*z**2 - 72*z - 70 = 0. -35, -1 Factor 3*w**3/5 - 6*w**2 + 81*w/5 - 54/5. 3*(w - 6)*(w - 3)*(w - 1)/5 Determine s so that -s**5/3 + 113*s**4/3 - 440*s**3/3 + 436*s**2/3 = 0. 0, 2, 109 Determine n so that -n**3/2 - 4*n**2 - 6*n = 0. -6, -2, 0 Factor 2*x**4 - 4*x**3 - 2*x**2 + 4*x. 2*x*(x - 2)*(x - 1)*(x + 1) Find n, given that -n**3/3 - 187*n**2/6 - 137*n/3 + 92/3 = 0. -92, -2, 1/2 Factor 20*r**2/3 + 61*r/3 + 1. (r + 3)*(20*r + 1)/3 Factor -w**3 - 6*w**2 - 11*w - 6. -(w + 1)*(w + 2)*(w + 3) Determine a, given that 10*a**5/17 - 304*a**4/17 - 1560*a**3/17 - 1748*a**2/17 - 82*a/17 + 420/17 = 0. -3, -1, 2/5, 35 Factor 2*d**4/11 + 12*d**3/11 + 16*d**2/11. 2*d**2*(d + 2)*(d + 4)/11 Determine y so that 7*y**3/4 + 607*y**2/4 - 1361*y/2 + 182 = 0. -91, 2/7, 4 Factor -3*c**2 + 174*c. -3*c*(c - 58) Suppose -z**2 + 39*z + 40 = 0. Calculate z. -1, 40 Determine j so that -5*j**3 + 445*j**2 + 2330*j + 1880 = 0. -4, -1, 94 Factor -c**3/5 + 2*c**2 + 32*c/5 - 384/5. -(c - 8)**2*(c + 6)/5 Factor 5*l**3 + 1435*l**2 + 105080*l + 302460. 5*(l + 3)*(l + 142)**2 Factor 9*h**5 + 1842*h**4 + 126073*h**3 + 2913324*h**2 + 1900464*h + 314432. (h + 68)**3*(3*h + 1)**2 What is y in -2*y**3/7 - 7520*y**2/7 - 7061274*y/7 + 14152644/7 = 0? -1881, 2 Find h such that 4*h**2 - 2040*h = 0. 0, 510 Factor b**2 + 4994*b + 6235009. (b + 2497)**2 Factor 25*d**4 - 115*d**3 - 375*d**2 - 305*d - 70. 5*(d - 7)*(d + 1)**2*(5*d + 2) Determine x, given that -x**5/5 - 68*x**4/5 - 112*x**3 - 350*x**2 - 2319*x/5 - 1062/5 = 0. -59, -3, -2, -1 Find j, given that j**2 + 13*j - 68 = 0. -17, 4 Factor 2*f**2/15 + 880*f/3 + 484000/3. 2*(f + 1100)**2/15 Factor 2*b**5/7 - 32*b**4/7 + 12*b**3 - 80*b**2/7 + 26*b/7. 2*b*(b - 13)*(b - 1)**3/7 Suppose 7*j**4/5 + j**3 - 72*j**2/5 + 76*j/5 - 16/5 = 0. What is j? -4, 2/7, 1, 2 Factor -2*t**2/5 - 488*t - 148840. -2*(t + 610)**2/5 Determine a, given that 54*a**4 + 720*a**3 + 228*a**2 - 80*a - 26 = 0. -13, -1/3, 1/3 Let -c**2 + 49*c/3 - 16/3 = 0. Calculate c. 1/3, 16 Factor -q**3/10 - 8*q**2/5 - 77*q/10 - 49/5. -(q + 2)*(q + 7)**2/10 Let z**2 + 3*z - 28 = 0. Calculate z. -7, 4 Factor 4*r**4/3 + 4*r**3/3 - 40*r**2/3 + 32*r/3. 4*r*(r - 2)*(r - 1)*(r + 4)/3 Factor z**4/5 - 46*z**3/5 - 155*z**2 - 760*z - 1200. (z - 60)*(z + 4)*(z + 5)**2/5 Factor b**4 + 32*b**3 + 334*b**2 + 1248*b + 1521. (b + 3)**2*(b + 13)**2 Find f, given that 2*f**4/3 + 16*f**3/3 + 26*f**2/3 + 4*f = 0. -6, -1, 0 What is y in -205*y**4 + 1307*y**3 - 2305*y**2 + 681*y + 18 = 0? -1/41, 2/5, 3 Solve x**3/5 + 4*x**2/5 - 29*x/5 + 24/5 = 0 for x. -8, 1, 3 Solve -4*s**2 - 488*s - 3648 = 0. -114, -8 Solve -2*h**5 + 6*h**4 + 82*h**3 + 210*h**2 + 208*h + 72 = 0 for h. -2, -1, 9 Factor -3*v**5 + 3111*v**4. -3*v**4*(v - 1037) Factor -i**3/2 - 39*i**2/2 + 84*i + 6664. -(i - 17)*(i + 28)**2/2 Solve -5*c**4 + 15*c**3 + 75*c**2 + 85*c + 30 = 0 for c. -1, 6 Find k, given that 2*k**3 - 140*k**2 + 2584*k - 4624 = 0. 2, 34 Suppose 5*u**3 + 170*u**2 = 0. Calculate u. -34, 0 Suppose 2*m**5 + 30*m**4 + 138*m**3 + 202*m**2 - 84*m - 288 = 0. What is m? -8, -3, -2, 1 Factor -2*z**2 - 370*z + 372. -2*(z - 1)*(z + 186) Factor 2*i**2/5 - 12*i/5 + 2. 2*(i - 5)*(i - 1)/5 Let 14739*x**4 + 449973*x**3 + 235467*x**2 + 41391*x + 2430 = 0. Calculate x. -30, -3/17 Determine y, given that -2*y**4/17 + 8*y**3/17 + 20*y**2/17 - 56*y/17 + 30/17 = 0. -3, 1, 5 Factor -3*r**3 - 9*r**2. -3*r**2*(r + 3) Solve 16*j**2/5 + 34*j/5 + 18/5 = 0. -9/8, -1 Determine t so that -2*t**4 + 64*t**3 - 618*t**2 + 1196*t + 5408 = 0. -2, 8, 13 Factor 2*x**3 - 76*x**2 + 850*x - 2312. 2*(x - 17)**2*(x - 4) Suppose 3*s**2 + 552*s + 25392 = 0. Calculate s. -92 Factor 2*h**3/15 + 22*h**2/5 + 224*h/5 + 2176/15. 2*(h + 8)**2*(h + 17)/15 Determine g so that -27*g**2/7 - 69*g/7 - 30/7 = 0. -2, -5/9 Factor -g**4/7 + 30*g**3/7 - 184*g**2/7 - 768*g/7 + 2048/7. -(g - 16)**2*(g - 2)*(g + 4)/7 What is f in -f**2 - 35*f - 66 = 0? -33, -2 Solve -6*m**3/11 - 292*m**2/11 + 98*m/11 = 0. -49, 0, 1/3 Let 432*z**3 - 1224*z**2 + 1155*z - 363 = 0. What is z? 11/12, 1 Let 282*j**2 + 566*j/3 + 4/9 = 0. Calculate j. -2/3, -1/423 Solve -2*s**5/7 + 4*s**4/7 - 4*s**2/7 + 2*s/7 = 0. -1, 0, 1 Determine r, given that -25*r**4 + 715*r**3 - 411*r**2 - 251*r - 28 = 0. -1/5, 1, 28 Factor -2*b**3 + 164*b**2/7 - 456*b/7 - 144/7. -2*(b - 6)**2*(7*b + 2)/7 Let 8*x**4/9 - 14624*x**3/9 - 29270*x**2/9 - 18298*x/9 - 1220/3 = 0. What is x? -1, -1/2, 1830 Factor 4*f**2/7 + 640*f/7 + 25600/7. 4*(f + 80)**2/7 Factor 4*s**3 - 64*s**2 - 940*s - 2600. 4*(s - 26)*(s + 5)**2 Solve -358*q**2/3 - 598*q/5 - 4/15 = 0 for q. -1, -2/895 Factor q**2/2 - 27*q/2 - 14. (q - 28)*(q + 1)/2 Let -3*v**5 - 81*v**4 - 150*v**3 + 10374*v**2 + 62361*v - 72501 = 0. Calculate v. -13, 1, 11 Factor -3*n**3 + 72*n**2 + 75*n. -3*n*(n - 25)*(n + 1) Factor 3*r**4/7 + 9*r**3/7 - 27*r**2/7 - 81*r/7. 3*r*(r - 3)*(r + 3)**2/7 Determine l so that -5*l**3 + 160*l**2 - 1280*l = 0. 0, 16 Let -4*n**2 - 2240*n - 4464 = 0. What is n? -558, -2 Factor 5*l**3/4 - 1365*l**2/4 + 124215*l/4 - 3767855/4. 5*(l - 91)**3/4 Factor 5*n**3 + 180*n**2 + 805*n + 930. 5*(n + 2)*(n + 3)*(n + 31) Factor -f**3/10 - 22*f**2/5 - 42*f/5. -f*(f + 2)*(f + 42)/10 Suppose -8*l**5/3 - 6*l**4 - 2*l**3/3 + 6*l**2 + 10*l/3 = 0. Calculate l. -5/4, -1, 0, 1 Solve -a**3/5 + 67*a**2/5 + 14*a - 136/5 = 0. -2, 1, 68 Determine z so that 10*z**4 - 106*z**3 - 54*z**2 + 106*z + 44 = 0. -1, -2/5, 1, 11 Determine x, given that 3*x**5 - 18*x**4 - 81*x**3 = 0. -3, 0, 9 What is g in g**2/5 - 14*g/5 = 0? 0, 14 Let 2*z**5 + 24*z**4 + 74*z**3 + 84*z**2 + 32*z = 0. Calculate z. -8, -2, -1, 0 Factor -5*h**4 - 13610*h**3 + 54500*h**2 - 54520*h. -5*h*(h - 2)**2*(h + 2726) Factor -t**3 - 11*t**2 - 40*t - 48. -(t + 3)*(t + 4)**2 Factor 4*p**3 - 72*p**2 + 348*p - 440. 4*(p - 11)*(p - 5)*(p - 2) Solve 4*f**3/5 - 64*f**2/5 - 76*f/5 + 136/5 = 0. -2, 1, 17 Solve -3*w**2/4 - 18*w - 189/4 = 0. -21, -3 Solve -5*j**2 - 250*j = 0 for j. -50, 0 Find l such that 5*l**2/7 - 5373*l/7 - 2150/7 = 0. -2/5, 1075 Factor b**2/2 - 3*b/4 + 1/4. (b - 1)*(2*b - 1)/4 Determine i, given that 20*i**5 + 38*i**4 + 12*i**3 - 10*i**2 - 4*i = 0. -1, -2/5, 0, 1/2 Find j, given that 92*j**3 + 96*j**2 - 92*j - 96 = 0. -24/23, -1, 1 Suppose -30*l**2 + 231*l/4 + 9/2 = 0. Calculate l. -3/40, 2 Factor -74*h**2/3 + 70*h/3 + 4/3. -2*(h - 1)*(37*h + 2)/3 Solve -2*p**5/3 - 8*p**4/3 + 52*p**3/3 - 88*p**2/3 + 62*p/3 - 16/3 = 0. -8, 1 What is p in -4*p**4 + 84*p**3 + 572*p**2 - 1380*p + 728 = 0? -7, 1, 26 Solve -a**5 - a**4 + 11*a**3 + 29*a**2 + 26*a + 8 = 0. -2, -1, 4 Find v, given that v**5/3 + 61*v**4/9 - 110*v**3/3 + 164*v**2/3 - 200*v/9 = 0. -25, 0, 2/3, 2 Factor 2*b**2/11 + 16*b/11 + 14/11. 2*(b + 1)*(b + 7)/11 Factor 4*a**4/7 - 72*a**3/7 + 132*a**2/7 - 64*a/7. 4*a*(a - 16)*(a - 1)**2/7 Factor -5*b**3 + 40*b**2. -5*b**2*(b - 8) Factor -f**2/3 - 61*f + 184/3. -(f - 1)*(f + 184)/3 Suppose l**5/2 + 262*l**4 - 3*l**3/2 - 787*l**2 - 524*l = 0. Calculate l. -524, -1, 0, 2 Find d such that 2*d**3 - 114*d**2 + 1144*d = 0. 0, 13, 44 Factor -5*l**2/6 + 25*l/2 + 40/3. -5*(l - 16)*(l + 1)/6 Find q, given that -2*q**2/3 + 2200*q - 1815000 = 0. 1650 Factor -10*b**3 + 125*b**2 + 545*b + 240. -5*(b - 16)*(b + 3)*(2*b + 1) Let 4*d**3/5 + 124*d**2/5 + 336*d/5 = 0. Calculate d. -28, -3, 0 What is w in -w**4/2 - 7*w**3 - 13*w**2/2 = 0? -13, -1, 0 What is j in -21*j**4/4 + 474*j**3 + 3303*j**2/4 + 417*j/2 - 138 = 0? -1, 2/7, 92 Factor 3*j**5/4 - 63*j**4 - 255*j**3/4. 3*j**3*(j - 85)*(j + 1)/4 Factor s**4/5 - 516*s**3/5 + 67587*s**2/5 - 52736*s + 196608/5. (s - 256)**2*(s - 3)*(s - 1)/5 Suppose 5*t**3 + 95*t**2 - 110*t - 200 = 0. Calculate t. -20, -1, 2 Solve -4*z
{ "pile_set_name": "DM Mathematics" }
lculate prob of sequence zv when two letters picked without replacement from {e: 1, d: 2, z: 4, v: 1, u: 1}. 1/18 Calculate prob of sequence hh when two letters picked without replacement from {n: 5, f: 3, h: 4}. 1/11 What is prob of sequence xxzx when four letters picked without replacement from xzwwxwxwcw? 1/840 Calculate prob of sequence gfjx when four letters picked without replacement from {f: 2, q: 1, g: 4, x: 1, j: 1}. 1/378 What is prob of sequence fz when two letters picked without replacement from zoggfgogog? 1/90 Three letters picked without replacement from qqm. What is prob of sequence qqm? 1/3 Three letters picked without replacement from xxnnxnnnnxnx. What is prob of sequence xxx? 1/22 Calculate prob of sequence wt when two letters picked without replacement from wtwxwwttat. 8/45 What is prob of sequence llll when four letters picked without replacement from lluulll? 1/7 Two letters picked without replacement from mmmkmkkkkkkmkkkk. What is prob of sequence mk? 11/48 Two letters picked without replacement from mxxxxmbkkkkxbxbbbx. Give prob of sequence bk. 10/153 Calculate prob of sequence zz when two letters picked without replacement from kkkkkkkzkkkkkkkkkkkk. 0 What is prob of sequence nhn when three letters picked without replacement from {d: 1, y: 1, h: 5, n: 13}? 13/114 Calculate prob of sequence ds when two letters picked without replacement from ddds. 1/4 Four letters picked without replacement from {n: 1, t: 2, q: 4}. What is prob of sequence tnqq? 1/35 Three letters picked without replacement from zcbqcbqzbqqj. What is prob of sequence jqc? 1/165 Two letters picked without replacement from mkivvvkvkvvv. Give prob of sequence km. 1/44 Three letters picked without replacement from {d: 7, z: 1, v: 2, a: 2, b: 1, r: 4}. What is prob of sequence ada? 7/2040 Two letters picked without replacement from {h: 7, k: 12, p: 1}. Give prob of sequence hk. 21/95 Calculate prob of sequence ob when two letters picked without replacement from {o: 2, c: 2, z: 6, h: 5, b: 1}. 1/120 Calculate prob of sequence kzq when three letters picked without replacement from qczgjqgkzggggggkkg. 1/408 Calculate prob of sequence vxv when three letters picked without replacement from {x: 6, h: 1, c: 2, v: 2}. 2/165 Two letters picked without replacement from qowsw. Give prob of sequence oq. 1/20 Calculate prob of sequence alzl when four letters picked without replacement from agzzzllgzgqqggzlgq. 1/2448 Four letters picked without replacement from lkkkkhhlhhhhhhhl. Give prob of sequence lllk. 1/1820 Four letters picked without replacement from jtjjjjtwjwwwjj. What is prob of sequence jjww? 4/143 Four letters picked without replacement from whigigwiihiff. What is prob of sequence fhgg? 1/2145 Four letters picked without replacement from {q: 1, y: 1, a: 1, t: 2, b: 5}. Give prob of sequence bbtt. 1/126 Calculate prob of sequence wg when two letters picked without replacement from gwjgm. 1/10 Three letters picked without replacement from {s: 5, h: 6, m: 4}. Give prob of sequence msm. 2/91 Calculate prob of sequence ke when two letters picked without replacement from eceecellkcqqeeqqc. 3/136 Four letters picked without replacement from {e: 1, v: 3, h: 4, m: 3, i: 7}. Give prob of sequence ihmm. 7/3060 Two letters picked without replacement from ffiififififfiiififfi. Give prob of sequence fi. 5/19 What is prob of sequence ayy when three letters picked without replacement from ayaaaayyaaaa? 9/220 Two letters picked without replacement from mexxxkxnskexk. What is prob of sequence mn? 1/156 Four letters picked without replacement from {s: 3, p: 5, h: 3, t: 6}. What is prob of sequence htsp? 9/1904 Four letters picked without replacement from iuuuuiudjdiu. Give prob of sequence uuid. 1/66 Three letters picked without replacement from {p: 5, z: 6, i: 4}. What is prob of sequence zzi? 4/91 Three letters picked without replacement from {a: 2, i: 1}. What is prob of sequence aia? 1/3 Two letters picked without replacement from uhcucuhuhq. Give prob of sequence qu. 2/45 Two letters picked without replacement from {j: 10, b: 10}. What is prob of sequence jj? 9/38 Four letters picked without replacement from {v: 7, n: 7}. Give prob of sequence vvnv. 35/572 Three letters picked without replacement from {b: 2, m: 1, r: 2, u: 1, q: 1, x: 2}. Give prob of sequence rbm. 1/126 What is prob of sequence osm when three letters picked without replacement from {o: 5, u: 1, h: 5, m: 1, s: 5}? 5/816 Calculate prob of sequence tb when two letters picked without replacement from {t: 1, u: 2, b: 1, g: 4, s: 3, n: 1}. 1/132 Calculate prob of sequence he when two letters picked without replacement from {h: 3, e: 12}. 6/35 What is prob of sequence bet when three letters picked without replacement from teb? 1/6 What is prob of sequence ptrj when four letters picked without replacement from {t: 5, j: 1, z: 2, r: 5, h: 2, p: 2}? 5/5712 What is prob of sequence vtao when four letters picked without replacement from {v: 5, k: 1, a: 2, o: 5, t: 3}? 5/1456 Two letters picked without replacement from iookofokolkxi. What is prob of sequence il? 1/78 Two letters picked without replacement from eumkemkkmukume. What is prob of sequence eu? 9/182 Four letters picked without replacement from {w: 5, m: 2, h: 2, j: 4, u: 1}. Give prob of sequence jwjj. 5/1001 What is prob of sequence mudy when four letters picked without replacement from {y: 2, u: 1, p: 1, d: 1, m: 2, o: 1}? 1/420 Two letters picked without replacement from rrrrrppppprr. What is prob of sequence pp? 5/33 Two letters picked without replacement from {l: 3, i: 3, z: 3, p: 1}. Give prob of sequence pl. 1/30 What is prob of sequence rqql when four letters picked without replacement from {r: 1, q: 3, t: 2, l: 1}? 1/140 Three letters picked without replacement from tccctcttctttcc. What is prob of sequence cct? 7/52 Two letters picked without replacement from bbccpbcccbb. What is prob of sequence cp? 1/22 Calculate prob of sequence zoo when three letters picked without replacement from oozozozooz. 1/6 Calculate prob of sequence www when three letters picked without replacement from {w: 3, f: 3, i: 1}. 1/35 Four letters picked without replacement from {p: 10, s: 4}. Give prob of sequence sppp. 120/1001 Three letters picked without replacement from eeee. Give prob of sequence eee. 1 Three letters picked without replacement from bzzbzbz. What is prob of sequence zbz? 6/35 Two letters picked without replacement from pbhwt. Give prob of sequence hp. 1/20 What is prob of sequence vv when two letters picked without replacement from {x: 3, v: 5, p: 3, d: 2}? 5/39 What is prob of sequence cp when two letters picked without replacement from cccpppc? 2/7 Three letters picked without replacement from qtvvqyv. Give prob of sequence vvy. 1/35 Calculate prob of sequence ehh when three letters picked without replacement from jrhrrhre. 1/168 Three letters picked without replacement from {n: 3, s: 3, p: 10, c: 2}. Give prob of sequence scc. 1/816 Three letters picked without replacement from {d: 2, l: 2, q: 1, g: 2, w: 1}. What is prob of sequence ddq? 1/168 Calculate prob of sequence gsgg when four letters picked without replacement from {g: 12, s: 7}. 385/3876 Two letters picked without replacement from wwwwtwywwywwtttytyw. Give prob of sequence wy. 20/171 What is prob of sequence rk when two letters picked without replacement from {a: 4, v: 7, k: 2, l: 1, r: 1, t: 2}? 1/136 Calculate prob of sequence otp when three letters picked without replacement from potcpc. 1/60 Calculate prob of sequence jqjv when four letters picked without replacement from {v: 2, a: 7, j: 2, p: 5, u: 1, q: 3}. 1/9690 What is prob of sequence rvv when three letters picked without replacement from vrvr? 1/6 What is prob of sequence wb when two letters picked without replacement from {w: 1, b: 6, c: 4, p: 3}? 3/91 Calculate prob of sequence rrrm when four letters picked without replacement from {m: 9, r: 7}. 9/208 What is prob of sequence knuk when four letters picked without replacement from knkksuqkuknn? 1/99 Three letters picked without replacement from {u: 4, b: 5, d: 1, e: 2, y: 2}. Give prob of sequence yey. 1/546 Calculate prob of sequence gyk when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
t to w? (a) u (b) 0.4 (c) -3 b Let z = -33 + 31. What is the closest to 0.3 in z, -0.1, 1? -0.1 Let i = 5.4 - 5. Let x = 5 - 3. Let v = x - -1. Which is the nearest to 0.2? (a) v (b) i (c) -1/6 b Let z = -1 + 5. Let w = -497/5 - -100. Which is the closest to w? (a) 0.4 (b) z (c) 3/4 c Let k = 64.98 + -67. Let f = k - -0.02. Let d = 3.5 + -3. Which is the closest to -2/7? (a) d (b) f (c) -1 c Let x = -2.2 + 0.2. What is the closest to x in 4, -4/7, -3? -3 Let u = -0.012 - 2.988. What is the nearest to -1 in -0.4, -0.5, u? -0.5 Let v(q) = -q**3 + 2*q + 5*q**2 + 6*q - 11 + 2. Let j be v(6). Let x = 2/111 - -176/2553. Which is the closest to -2? (a) -1 (b) j (c) x a Let f = -1.64 + 0.64. Which is the closest to 3? (a) f (b) 0.2 (c) 2 c Let f be (-5)/(-3) - (-12)/36. Which is the closest to 2/5? (a) -0.2 (b) f (c) 1/3 c Let k = 71/3 - 24. Let o(a) = a + 3. Let q be o(-4). Let z be (-2)/4 - q/18. What is the nearest to k in 1/5, 1/2, z? z Let m be -4 + (-3)/3 + 4. Which is the closest to m? (a) -2/7 (b) -3 (c) -1/2 c Let i be 32/(-84) + (0 - 6/(-9)). What is the nearest to i in 0.2, 2, -0.4? 0.2 Let m = -7.5 + 7.1. Let l = 0.1 + 0.4. Which is the nearest to 0.3? (a) -0.3 (b) m (c) l c Let l be 1/(-4) - 4/16. Let u = 20/11 + -107/77. Which is the nearest to 1/2? (a) u (b) l (c) -4 a Suppose -3 = q - 7. Let f be q/(-3) - 4/6. Let p = 2.05 - 0.05. Which is the nearest to 0.1? (a) f (b) p (c) -0.4 c Let a = -0.9 - -1.6. Let o = 0.1 - 0.3. Let m = o + a. What is the nearest to 0.1 in 0.1, m, -2/5? 0.1 Let l = 3.5 - 4. Let r = 0 + l. Which is the closest to -1? (a) -2/11 (b) 1 (c) r c Let d = 0.054 + -0.254. Let y = 3 + -5. Let u = y - -1.5. What is the closest to 0.1 in u, -1/3, d? d Let i = -2 + 1.9. Which is the nearest to i? (a) -4 (b) -0.4 (c) -0.1 c Let p(h) = h - 6. Suppose -3*f - f = 0, 0 = 5*u + 3*f - 50. Let j be p(u). Which is the nearest to 1? (a) j (b) -3/2 (c) -2/5 c Let m = 21/2 - 31/3. Let a = 0.2 + -0.3. What is the closest to 0 in m, 2/5, a? a Let a = -4 + 3.6. Let v = a - -0.5. What is the closest to 2 in v, -2/5, 1/4? 1/4 Let y = -56 - -54. Which is the nearest to -16? (a) -5 (b) y (c) 1 a Let k = -23.9 + 23. Let q = k - -1. What is the nearest to -0.1 in -3, q, -5? q Let o = 60 - 59.7. Which is the closest to -8? (a) 3/5 (b) -3/2 (c) o b Suppose 4*i = 9*i + 25. Which is the nearest to -1/2? (a) -0.5 (b) 0 (c) i a Let w = 10 - 15. Let y = w - -4.5. Which is the closest to -0.2? (a) -2/17 (b) -3 (c) y a Suppose 5 = 5*y - 0*y. Let m = 5.4 - -5.8. Let f = 11 - m. Which is the nearest to y? (a) 0.5 (b) f (c) -3 a Let j be 504/104 + (-2)/39*-3. Which is the closest to j? (a) -2/15 (b) 3 (c) 4 c Suppose -2 = -3*w + 7. What is the nearest to 1/3 in -1, 1/4, w? 1/4 Let n = 25 - 25.3. Which is the nearest to n? (a) -3 (b) -0.6 (c) -2 b Let v(j) = j - 3. Let r be v(6). Let x = 0.15 - -0.15. Which is the nearest to -0.1? (a) 4 (b) x (c) r b Let d be ((-1)/(-12))/(11/44). Let s = -1 + 0.96. Let k = s - -5.04. Which is the nearest to d? (a) k (b) 0 (c) -4 b Suppose w + 25 + 27 = 0. Let x = w - -313/6. Let n = 0 - -3. Which is the nearest to 1? (a) x (b) n (c) 4 a Let q = -0.22 + 0.3. Let a = -40.22 - -40. Let r = q - a. What is the closest to 1 in r, 5, 0? r Suppose -5*t = -3*y - 26 - 3, -2*t + 2 = 2*y. Let p(m) = m**2 - 6*m - 6. Let h be p(7). Which is the nearest to h? (a) y (b) -1/6 (c) 2 c Let a = -2.1 - 0.4. Let n = a + 2. Let q = 1 - 0. What is the closest to 2/9 in 4, q, n? n Let x be (-11)/3 + 2/3. Let t = -0.05 + 1.05. Let y = 0.2 - 0.4. Which is the closest to y? (a) x (b) 2/3 (c) t b Let r be 0/(-2*(1 - 0)). Let g(v) = -v**2 + v - 4. Let m be g(r). Which is the nearest to -0.1? (a) 3 (b) m (c) -1/6 c Let t = 1.8 + -2. Let k = 0.8 - t. Let u = 6 - 4. Which is the closest to -1/3? (a) u (b) -2/7 (c) k b Let u = -83 - -82.9. Suppose -2 = 3*m - 17. Let h be 2/6 + 5/15. Which is the nearest to -1? (a) m (b) u (c) h b Let a = -10.7 + 7.7. What is the closest to -2 in -0.2, a, 0.2? a Let d = 34 - 33. Which is the nearest to d? (a) -5 (b) 1/4 (c) -3 b Let l = -11.2 - -11. Which is the closest to 3? (a) 2 (b) -1 (c) l a Let z = 0.57 + -0.17. Let f = -2 + 1. What is the closest to f in -0.4, 5, z? -0.4 Let x = 0.4 + -0.3. Let u = 24 - 21.3. Let k = u + 0.3. What is the nearest to x in k, 2/5, 2? 2/5 Suppose -5*u + 4 = -16. Let p be (-4)/((-2)/(-4)*u). What is the closest to 0 in -0.4, -1, p? -0.4 Let j be 9/(-456) + (-5)/(-40). Which is the closest to 4? (a) j (b) 3 (c) -0.1 b Let i be (84/(-1))/((-2)/2). Let n = 416/5 - i. Which is the closest to -2? (a) -3 (b) -2 (c) n b Let d = 0.1 - 0.12. Let x = -0.98 + d. What is the nearest to 0.1 in -0.2, -3, x? -0.2 Let q = 3 - 7/2. Let n = 93 - 89.3. Let d = 1.3 + n. Which is the nearest to q? (a) 1/4 (b) d (c) 1/6 c Let u be 2 - 0 - (-41 - -1). Let r be (0 + 3)*4/u. Let j = -1 + -4. What is the closest to -0.1 in r, j, -3/2? r Let d(n) = n - 9. Let y be d(10). Let g = 1.9 - 1.5. Which is the nearest to y? (a) g (b) -2 (c) 1/2 c Let a(l) = -8*l**3 - l**2. Let k be a(1). Let o be (-7 - -6)/(k + -1). What is the closest to -2 in o, -2/21, -2/7? -2/7 Let o = 3.3 - 3. Which is the closest to 2? (a) 5 (b) o (c) 4 b Let h = 18 - 17.9. What is the closest to h in -2/15, 2/3, -17? -2/15 Let v be ((-4)/(-24))/((-4)/(-8)). What is the closest to -2/3 in 0.5, -5, v? v Let f = -2 - 1. Let y be (-3)/f + (0 - 2). Let d = -1.1 - -6.1. Which is the closest to -1? (a) -0.4 (b) d (c) y c Let u = -3 + 7. Let i = 4 - u. What is the nearest to -2 in 3, 4, i? i Let i = -3 - -2.97. Let r = i + 1.03. Which is the nearest to r? (a) 3/2 (b) 1/3 (c) 4 a Let d = -0.18 + -0.12. Which is the closest to 1? (a) -2 (b) -13 (c) d c Let j = 46 - 137/3. Let w be 1/(-4) - (10 - 9). Let c = -0.1 + -0.1. What is the closest to c in 2, j, w? j Let m = -1.9 + -0.1. Suppose 3*r + 1 = -5*k, 2*k - r - 5 = -k. Let t = 433/12 + -36. Which is the nearest to k? (a) m (b) 0 (c) t c Let d = 0 + 1. Let p be 114/(-7)*252/(-20). Let q = p + -206. Which is the closest to -2? (a) q (b) d (c) 3/7 a Let p = 0.2 - 0.7. Let i = -1.8 - -2. Suppose v - 9*d = -4*d + 9, v = -d - 3. Which is the closest to i? (a) v (b) -2 (c) p c Suppose -1 = v - 2*l, -2*v + 3*l = 2*v - 11. Which is the closest to -0.2? (a) 0.4 (b) v (c) -5 a Let b = 1.11 + -1.21. What is the closest to -0.2 in 0, 3, b? b Let u = 25.6 + -26. What is the closest to 0.1 in u, 5, 0.01? 0.01 Let p = -6.3 - -1.3. Which is the nearest to -0.1? (a) 0 (b) p (c) 1/3 a Let h = 5/8 + -19/24. What is the closest to 1/4 in 0.3, 1, h? 0.3 Let f(p) = -4*p. Let t be f(-1). Let u = -10/3 - -4. What is the nearest to u in -1/5, 0.3, t? 0.3 Suppose g + 3*k = 6, -g + 3*g + 4*k - 8 = 0. Which is the closest to -2? (a) -3 (b) 1 (c) g a Let s be (-2)/1*(0 - -1). Let x be (s/(-20))/((-1)/2). Suppose 4*w + z - 12 = 0, -3*z - 4 = 2*w - 0. What is the nearest to 0 in x, -2, w? x Let v = 4.11 - 0.11. Let g = v - 0. What is the nearest to 0.1 in -2/9, g, -5? -2/9 Let z be -3*((-20)/(-6) - 2). Let m be (-2 - 16/12) + 3. Which is the nearest to m? (a) 0.5 (b) z (c) 0 c Let i = -2.2 - 0.8. Suppose -u + 3*u = 4*x - 8, 0 = 5*u - 10. Let t be x*(0 - 2/(-21)). Which is the closest to -1/2? (a) t (b) i (c) -2/11 c Let n be (-3*(-4)/(-12))/(6/10). What is the closest to -0.4 in 2, 4, n? n Suppose -f = -4 + 8. What is the closest to 0 in f, 1/2, 0.1? 0.1 Let j = -0.07 + 0.07. Let r be (2/(-12))/(-1 + 2). Let u = -1/43 + 47/172. What is the closest to j in r, u, 1/3? r Let o = -0.4 - 0. Suppose 5 = -x + 6*x. What is the nearest to x in -3, o, -0.5? o Let j(p) = p**2 - p - 1. Suppose -3*i = 3*k, 1 = 4*k + 2*i - 3. Let m be j(k). Which is the nearest to m? (a) 2/7 (b) -1/3 (c) -3 a Let w = 30 + -34. What is the closest to -1/3 in -2/7, w, -0.3? -0.3 Let y = -0.2 + 0.1. Let z = -0.8 - -0.3. Let b = 0.8 + z. What is the nearest to y in b, -0.2, -2? -0.2 Let k = -1.42 + 0.42. Suppose 0 = -t - 2 - 2. Which is the nearest to k? (a) 3 (b) -2 (c) t b Let h = 0.04 + 3.96. What is the nearest to -5/3 in h, -1/11, -2? -2 Let n = -629/19 + 33. Which is the nearest to -0.1? (a) -3/4 (b) n (c) 2/3 b Su
{ "pile_set_name": "DM Mathematics" }
w. 24*w Let a be (8/4)/(-1) + 6. Let w(c) = -6*c - 3 + 0*c - 2 - a*c. Let p(o) = o + 1. Let y(r) = -3*p(r) - w(r). What is the first derivative of y(s) wrt s? 7 Let y(k) = 188*k**5 - 6*k**4 - 843*k - 12. Let o(h) = 189*h**5 - 5*h**4 - 842*h - 10. Let c(m) = -6*o(m) + 5*y(m). What is the second derivative of c(w) wrt w? -3880*w**3 What is the second derivative of 43*f**4 - 20 + 16 - 16 - f**3 + 8*f - 54*f**4 wrt f? -132*f**2 - 6*f Let q(t) = 7*t**6 + 2*t**5 + 42*t**2 - 2*t + 1. Let b(s) = -s**2 + s. Let n(y) = -2*b(y) - q(y). Find the third derivative of n(p) wrt p. -840*p**3 - 120*p**2 Let y be (169/4 - 0)*4. Suppose -5*c = -4*r + 477, 2*r - 2*c - y = 69. Find the first derivative of 0*o - r + 120 - 13*o**3 + 0*o wrt o. -39*o**2 Let d(u) = 109*u**2 + 9*u + 28. Let z(t) = 55*t**2 + 5*t + 14. Let y(x) = -6*d(x) + 11*z(x). What is the first derivative of y(m) wrt m? -98*m + 1 Let b(o) be the second derivative of 1/5*o**5 - 1/12*o**4 + 0*o**2 + 0 - 6*o + 0*o**3. Find the third derivative of b(r) wrt r. 24 Suppose -21*j + 40 = -16*j. Find the second derivative of -6*c - j*c - 2*c**5 + 12*c wrt c. -40*c**3 Let c(i) be the first derivative of 101*i**7/7 - 73*i**3/3 + i**2 - 18. Find the third derivative of c(q) wrt q. 12120*q**3 Suppose 5*y = 3*h - 56, -3*h - 3*y = -6*y - 48. What is the second derivative of -11*a**3 - 14*a**2 + 2*a**2 + h*a**2 + 4*a wrt a? -66*a Suppose 2*d + d = -m, -4*m + 3*d + 15 = 0. What is the third derivative of 11*s**2 + 20*s**m + 12*s**3 + 0*s**3 + 0*s**3 wrt s? 192 Let f = 38 - 23. Suppose -4*n + n = -f. Find the second derivative of -7*x**n + 10*x - 5*x**5 - x**5 + 5*x**5 wrt x. -160*x**3 Suppose 5*r + 2*f = 7, -4*f - 8 - 2 = 2*r. Find the third derivative of 7*j**3 - 5*j**3 - 21*j**2 + 11*j**r + 6*j**2 wrt j. 78 Let h(m) be the second derivative of -m**7/70 - 13*m**4/24 - 3*m**3/2 - 4*m. Let g(o) be the second derivative of h(o). What is the derivative of g(a) wrt a? -36*a**2 Let d(f) = 431*f + 213. Let t(x) = -427*x - 214. Let c(u) = 5*d(u) + 4*t(u). Differentiate c(a) with respect to a. 447 Let c(f) be the second derivative of 0 - 13/20*f**5 + 0*f**4 - 9*f + 5/3*f**3 + 0*f**2. Find the second derivative of c(m) wrt m. -78*m Let x(q) = q**4 - 2*q - 5. Suppose -5*z - 20 = -0, -3*p = 2*z + 8. Let l(v) = -10*v + p*v + 9*v. Let f(j) = 2*l(j) - x(j). Differentiate f(o) with respect to o. -4*o**3 Suppose -3*k + k + 16 = 5*s, -k - 2 = 0. Differentiate -9*n**2 - s - 12 + 2*n - 5*n**2 - 35 wrt n. -28*n + 2 What is the third derivative of 9*b**5 + 6*b + 52*b**6 + 8*b**2 - 5*b**5 - 2*b**5 wrt b? 6240*b**3 + 120*b**2 Find the third derivative of -8*j**2 - 6*j - 8*j**2 + 2*j**3 + 3*j**6 + 19*j**2 + 5*j**3 wrt j. 360*j**3 + 42 Suppose -5*v - 5*o = 0, 8 = -3*v + 2*o + 28. Find the third derivative of 25*r**3 + 16*r**v - 25*r**3 + 14*r**2 + 8*r**2 wrt r. 384*r Suppose 3*w + 6 = 0, 2*x + 3*w - 6 = -x. Suppose 0 = -2*p + p + 2. Find the first derivative of 5 - 3 - x + p*k - 2 wrt k. 2 What is the third derivative of -9*t**5 + 6*t**2 + 5*t**5 + 130*t**2 + 36*t**5 wrt t? 1920*t**2 Let c be (-1)/(-4 - 22/(-6)). What is the second derivative of r - 18*r**3 + 26*r**c - 2*r wrt r? 48*r Let x(j) = -12*j**2 - 16*j - 4. Let r(z) = -2*z**2 + 1. Let l(a) = -4*r(a) - x(a). Find the second derivative of l(h) wrt h. 40 Let z be (-204)/(-54) - 6/(-27). Find the third derivative of 25*l**4 - l**4 + l**2 - z*l**2 wrt l. 576*l Suppose 10 = 2*g - 2*p, 5 + 4 = -3*p. What is the third derivative of -6*q**g + q**2 - 2*q**6 + 22*q**2 - 3*q**6 wrt q? -600*q**3 Let k(a) = -a**3 + 6*a**2 - 2*a + 9. Let g be k(6). Let j be -1*(g + -1 + 2). Find the first derivative of 2*w - 8 + 5 - 6*w - j wrt w. -4 Let u(x) be the second derivative of 0 + 1/2*x**2 + 1/6*x**3 - 1/30*x**5 - 6*x + 0*x**4. Let t(d) be the first derivative of u(d). Differentiate t(i) wrt i. -4*i Suppose -8 = 4*t, -5*r + 7 + 9 = -3*t. Let c(d) = -2*d**3 - 47*d**2 - 21*d + 56. Let y be c(-23). Differentiate g**2 - 6 - y*g**r + 2*g**2 wrt g. -14*g Let h(f) be the third derivative of 30*f**2 + 0 - 11/6*f**3 + 1/6*f**5 + 0*f + 0*f**4. What is the first derivative of h(n) wrt n? 20*n Find the third derivative of -53*g**4 - 29*g**2 - 5*g**6 + 20*g**4 - 112*g**6 + 31*g**4 - 123*g**2 wrt g. -14040*g**3 - 48*g Let k(y) = y**2 + y + 1. Let j(x) be the first derivative of 13*x**3/3 + x**2 - 9. Let p(v) = j(v) - 2*k(v). What is the first derivative of p(m) wrt m? 22*m Let u = -42 + 73. Find the first derivative of 2 - 5 + u - 57*b + 48*b wrt b. -9 Suppose 2*z + 2*q = -3*q + 31, -z + 3*q = 1. Suppose -5*v = -v - z. Find the second derivative of -a**5 + 5*a - v*a - a wrt a. -20*a**3 Let j(w) be the first derivative of -w**10/840 - w**6/60 + w**3/3 + 12. Let x(k) be the third derivative of j(k). Find the third derivative of x(l) wrt l. -720*l**3 What is the third derivative of -63*l**3 - 95*l**3 + 21 - 55*l**3 + 3*l**2 wrt l? -1278 Let b(l) be the second derivative of 0*l**2 + 0*l**5 - 47/30*l**6 + 0*l**3 - l**4 + 23*l + 0. Find the third derivative of b(z) wrt z. -1128*z Let s(f) be the first derivative of 62*f**5/5 + 63*f + 32. Differentiate s(d) wrt d. 248*d**3 What is the third derivative of 9*n**3 - 46*n**2 - 3*n**3 + 226*n**2 + 25*n**4 - 5*n**3 wrt n? 600*n + 6 What is the third derivative of -2 + 2*h**2 + 3405*h**3 + 12*h**6 - 20*h**5 - 3405*h**3 wrt h? 1440*h**3 - 1200*h**2 Let s(l) be the second derivative of -23/2*l**2 + 0 + 7/2*l**3 + 23*l. Find the first derivative of s(f) wrt f. 21 Let t = -15 + 18. Suppose l + t*l = -3*k + 57, -l + 78 = 5*k. Find the second derivative of -5*p**5 + 0*p + k*p**5 - 3*p wrt p. 200*p**3 Let s(j) be the second derivative of j**6/20 - 11*j**4/24 - 7*j**3/2 - 22*j. Let i(o) be the second derivative of s(o). Differentiate i(p) wrt p. 36*p Let o(m) = 35*m + 12 - 71*m + 11*m. Let z(w) = -49*w + 23. Let y(a) = -5*o(a) + 3*z(a). What is the derivative of y(d) wrt d? -22 Let v(p) = 3*p**2. Let k be v(1). What is the third derivative of -18*b**2 - k*b**6 + 9*b**6 + 13*b**3 - 13*b**3 wrt b? 720*b**3 Suppose 5*f = 2*z + 4, f + 0*z - 2*z = -4. Find the second derivative of -g**4 + g + 4*g**4 + 2*g - f*g wrt g. 36*g**2 Let x(q) be the second derivative of q**9/1008 - q**5/30 - 19*q**4/12 - 19*q. Let p(z) be the third derivative of x(z). Find the first derivative of p(j) wrt j. 60*j**3 Let x(q) be the first derivative of q**7/7 + 8*q**5/5 - 278*q**3/3 + 116. Find the third derivative of x(s) wrt s. 120*s**3 + 192*s Find the first derivative of -32 + 162 + 2075*b**2 - 1218*b**2 wrt b. 1714*b Let o(d) be the second derivative of d**7/21 + 47*d**6/30 + 265*d**3/2 + d - 124. What is the second derivative of o(u) wrt u? 40*u**3 + 564*u**2 Suppose 2*p - 24 = k - 2*k, 3*k + 4*p - 76 = 0. Find the first derivative of 6*d**3 - 10*d**3 + d**3 - k wrt d. -9*d**2 Let c be (5 - 1)*-1*21/(-14). Find the third derivative of 20*f**c + 8*f**2 + 3*f**4 + 8*f**2 - 3*f**4 wrt f. 2400*f**3 Let m(s) = 3*s + 4. Let f be m(0). What is the derivative of -2*w**f + 3 + 1 - 2*w**4 wrt w? -16*w**3 Suppose -d - 2*y = 3 - 5, 4*d = 2*y + 8. What is the third derivative of -44*g**3 - g + 36*g**3 + d*g**2 - 47*g**3 + 3*g wrt g? -330 Let g(y) = -y**4 - y**2 - y - 2. Let t(h) = 26*h**5 - 4*h**4 + 10*h**2 - 2*h - 2. Let f(s) = -2*g(s) + t(s). What is the third derivative of f(w) wrt w? 1560*w**2 - 48*w Let n be (-64)/(-28) + (-2)/7. Let b(h) = h + 1. Let f be b(2). Find the second derivative of m**n - 6*m + m + f - 3 wrt m. 2 Let m(z) = 509*z**2 + 12*z + 299. Let p(c) = 1017*c**2 + 22*c + 600. Let o(n) = -11*m(n) + 6*p(n). Differentiate o(b) wrt b. 1006*b Let m(v) = -6*v**4 - 408*v**2 - 165*v - 17. Let b(t) = 2*t**4 + 136*t**2 + 55*t + 6. Let a(g) = -17*b(g) - 6*m(g). Find the second derivative of a(u) wrt u. 24*u**2 + 272 Let o be (-1 + -1 - -1)*-5. Suppose 70*s - 95*s + 75 = 0. What is the second derivative of x + 3*x + 7*x**s - o*x + 2*x**3 wrt x? 54*x Find the second derivative of -143*d + 1 - 4 + 38*d**4 + 66*d + 67*d wrt d. 456*d**2 Let l(g) = -429*g**2 - 2*g + 271. Let j(t) = -1287*t**2 - 6*t + 810. Let i(u) = 3*j(u) - 8*l(u). Find the second derivative of i(s) wrt s. -858 Let a = -41 - -59. Find the first derivative of -6*i**2 - 29 + a*i**2 + 5 wrt i. 24*i Differentiate -3*y**3 - 9*y**4 + 161 + 268 - 2*y**3 + 0*y
{ "pile_set_name": "DM Mathematics" }
4*q Let b(n) = -8*n. Suppose -3*p + 6*i - 2*i = 14, -p + 27 = 5*i. Let t(u) = -u**2 + 4*u**p + 3*u**2 - 3*u**2. What is t(b(m))? 192*m**2 Let n(x) = x**2 + 7*x - 5. Let g be n(-8). Let o(c) = -559 + 559 + g*c. Let j(m) = 15*m. Determine j(o(w)). 45*w Let u(a) = -9*a**2. Let q(w) = 24191*w. Determine q(u(i)). -217719*i**2 Let j(w) = -3*w**2 + 2. Let r(a) = 2471*a**2. What is r(j(i))? 22239*i**4 - 29652*i**2 + 9884 Let p(n) = -n. Let i(q) = -2*q + 3. Let k be (8/5)/(32/(-80)). Suppose -4*o + 10 = -2. Let z(x) = -3*x + 4. Let s(t) = k*i(t) + o*z(t). Calculate s(p(g)). g Let p(q) = 22*q. Let x = 10 - 9. Suppose x = 2*d - 3. Let k(s) = -5 + 4 + 1 + d*s**2. What is p(k(g))? 44*g**2 Let b(n) = -n**2. Let a(d) be the second derivative of d**6/360 + 7*d**3/2 + 3*d. Let j(h) be the second derivative of a(h). What is j(b(q))? q**4 Let h(n) = 8*n**2. Let s(z) = 219355*z. Calculate s(h(m)). 1754840*m**2 Let m(h) be the second derivative of -h**2 - 6*h + 1/20*h**5 + 0 + 0*h**3 + 0*h**4. Let f(l) be the first derivative of m(l). Let t(r) = 2*r. Determine t(f(z)). 6*z**2 Let c(p) = -36*p**2 + 4. Let u(l) = -l**2 - 1. Let z(i) = -3. Let s(o) = 3*u(o) - z(o). Give s(c(w)). -3888*w**4 + 864*w**2 - 48 Let a(j) = 164*j**2. Let x(h) = -7*h**2 + h + 73. What is x(a(u))? -188272*u**4 + 164*u**2 + 73 Let o(l) = -7*l**2. Let i(m) be the second derivative of 23*m**4/12 + 102*m. Calculate o(i(n)). -3703*n**4 Let t(x) = 2*x**2. Let w(p) = -42426*p. What is t(w(l))? 3599930952*l**2 Let n(b) = -10*b**2 + b - 198. Let s(q) = -2*q**2. Calculate n(s(w)). -40*w**4 - 2*w**2 - 198 Let v(y) be the third derivative of y**5/20 - 2*y**2. Let n(j) = 20*j - 18. Let z(r) = r - 1. Let u(m) = 2*n(m) - 36*z(m). Give u(v(s)). 12*s**2 Let n(z) = 4*z - 4. Let j(f) = 3*f - 1. Let a(c) = -4*j(c) + n(c). Let i be (-1)/(-2) - 94/(-4). Let h(g) = -24 + i - g**2. Determine a(h(s)). 8*s**2 Let w(d) = 7*d - 18. Let t(q) = -3*q - 10. Let l(m) = m + 4. Let k(x) = -5*l(x) - 2*t(x). What is k(w(a))? 7*a - 18 Let w(m) = 2*m. Let s(n) = 6 + 3*n**2 - n**2 - 3*n**2 - 1. Let i be 190/(-38)*(2 - 0)/2. Let f(k) = -k**2 + 6. Let z(l) = i*f(l) + 6*s(l). Give w(z(j)). -2*j**2 Let j(g) = 21*g**2. Suppose q - 9 = -4*s, s + 14 = 3*q - 0. Let w(v) = 22*v**2. Let p(o) = q*w(o) - 4*j(o). Let y(u) = -u. Calculate y(p(c)). -26*c**2 Let z(q) = -393*q - 448*q - 390*q + 1. Let i(b) = 2*b**2. Give z(i(c)). -2462*c**2 + 1 Let y(t) = -76*t + 6. Let w(o) = 8*o - 1. Let v(d) = -6*w(d) - y(d). Let l(m) = 5*m. Calculate v(l(u)). 140*u Let x(d) be the first derivative of -d**2/2 + 3*d + 1. Let y(k) = 5 - 33 - 123*k + 131*k. Let m(s) = 28*x(s) + 3*y(s). Let o(i) = 2*i. What is o(m(h))? -8*h Let b(a) be the second derivative of 9*a**3/2 - 37*a. Let x(j) = -7*j**2 - 5. Let p(f) = 3*f**2 + 2. Let q(m) = 5*p(m) + 2*x(m). Give q(b(o)). 729*o**2 Let m(i) = 25*i. Let j(d) = 11*d - 12*d - 12*d. Let s(u) = -5*j(u) - 3*m(u). Let b(p) be the second derivative of p**4/6 + 2*p. Give s(b(c)). -20*c**2 Let d(a) = -4*a**2 + 267. Let k(v) = -29*v**2. Determine d(k(s)). -3364*s**4 + 267 Let r(s) = 28*s + 7421. Let m(u) = 2*u. Calculate r(m(k)). 56*k + 7421 Let v(k) = -88*k + 7. Let y(s) = -25*s + 2. Let h(r) = -2*v(r) + 7*y(r). Let j(t) = -1405*t. Give h(j(u)). -1405*u Let m(s) = -5*s**2 - 3*s. Let o(i) = -11*i**2 - 5*i. Let j(v) = -5*m(v) + 3*o(v). Let d(w) = 37*w. Give j(d(p)). -10952*p**2 Let b(k) = 2*k**2. Let x(d) be the first derivative of 2*d**3 - 8*d - 144. What is x(b(g))? 24*g**4 - 8 Let y(m) = 19*m + 3. Let i(j) = -18*j - 3. Let p(s) = -2*i(s) - 3*y(s). Let d(h) = -2*h. What is d(p(b))? 42*b + 6 Let d(s) = -19*s**2 + s. Let k(g) be the first derivative of g**3/3 + 3. Give d(k(m)). -19*m**4 + m**2 Let b(k) = k**2 - 3*k + 2. Let i(u) = -u. Give i(b(o)). -o**2 + 3*o - 2 Let m(p) = -115*p**2 + 42*p. Let g(b) = 12*b**2 + 1. Give m(g(d)). -16560*d**4 - 2256*d**2 - 73 Let b(n) = -2*n**2. Let s(q) = -46*q**2 + 7*q + 7. Suppose 0 = 3*o + o - 8. Let m(j) = 15*j**2 - 2*j - 2. Let h(p) = o*s(p) + 7*m(p). Calculate h(b(i)). 52*i**4 Let o(n) = 44*n - 52. Let f(u) = -5*u + 6. Let r(p) = 52*f(p) + 6*o(p). Let j(w) = -63*w. What is j(r(m))? -252*m Let v(x) = -2*x. Let q be -2*((-6)/18 + 6/(-9)). Let h(w) = 51*w + 6*w + q*w. Determine h(v(m)). -118*m Let t(g) = -250*g. Let b(o) be the first derivative of -o**2/2 + 215. What is t(b(a))? 250*a Let q(y) = -2*y - 4. Let d(g) = g - 2. Let i(a) = -6*d(a) + 3*q(a). Let t(n) = -2*n. Give t(i(w)). 24*w Let h(w) = -3*w**2 - 264*w. Let n(a) = 5*a. What is n(h(p))? -15*p**2 - 1320*p Let q(m) = -2*m**2 + 23*m - 20*m - 3*m. Let w(b) = -11*b - 11. Let p(t) = 6*t + 5. Let g(k) = -11*p(k) - 5*w(k). Give q(g(a)). -242*a**2 Let t(j) be the third derivative of 0*j**3 + 0 + 0*j + 0*j**4 - 1/30*j**5 - 20*j**2. Let k(f) = 54*f**2. Calculate k(t(h)). 216*h**4 Let w(d) = -d**3 + 6*d**2 - 2*d - 3. Let q = -1 - -4. Let a be w(q). Let u(k) = 18 + 8*k - a. Let b(h) = -2*h**2. Calculate u(b(z)). -16*z**2 Let m(x) = -6*x**2. Let k(z) = 22*z + 1. Let b(w) = 110*w + 6. Let l(u) = -4*b(u) + 22*k(u). Give m(l(r)). -11616*r**2 + 1056*r - 24 Let l(v) = -52*v**2 - 2*v. Let x(b) = 2*b**2 - 5. Determine l(x(n)). -208*n**4 + 1036*n**2 - 1290 Let o(n) = -118113*n. Let m(z) = -2*z. Give o(m(y)). 236226*y Let r = 7 - 5. Let d(x) = x**r - x**2 - x**2. Let n(b) = -3*b + b**2 + 3*b. Give d(n(p)). -p**4 Let f(c) = c + 281. Let p(h) be the second derivative of h**4/12 + 3*h + 62. Give f(p(q)). q**2 + 281 Let a(s) = -1515*s. Let f(d) = 6*d**2 - 6*d. What is f(a(r))? 13771350*r**2 + 9090*r Let c(q) = q. Let b(a) be the second derivative of 0*a**3 + 5/4*a**4 + 0 + 0*a**2 + 11*a. Calculate b(c(k)). 15*k**2 Let i(h) be the second derivative of h**4/12 - 2*h. Let f(n) be the third derivative of 25*n**4/24 - n**2 + 12*n. Determine f(i(j)). 25*j**2 Let s(u) = 561*u - 45. Let w(v) = -5*v. Determine s(w(f)). -2805*f - 45 Let a(o) = -10*o**2. Let i(m) = -7*m - 19. Calculate i(a(g)). 70*g**2 - 19 Let h(j) = j. Let t(s) = 3*s - 4*s + 3 + 3*s. Let k = 137 - 140. Let r(z) = -2*z - 2. Let q(n) = k*r(n) - 2*t(n). Calculate q(h(u)). 2*u Let c(p) = 2*p + 33. Let o(b) be the first derivative of b**4/6 - 5*b + 30. Let q(v) be the first derivative of o(v). Calculate c(q(d)). 4*d**2 + 33 Let c(y) = -y + 6. Let z(j) = 93*j + 21. Let q(v) = -3*c(v) + z(v). Let k(a) = -a**2. Determine k(q(l)). -9216*l**2 - 576*l - 9 Let j(d) = d - 22. Let g(b) = 1. Let m(r) = g(r) + j(r). Let c(x) = -x**2. Calculate m(c(q)). -q**2 - 21 Let k(f) = -8*f + 8*f + 5*f. Let t(n) = 7*n**2 + 6*n + 6. Let s(v) = -v - 1. Let z(g) = 6*s(g) + t(g). Calculate z(k(u)). 175*u**2 Let b(v) = -v. Let g(d) be the third derivative of 77*d**5/30 - 29*d**2 - 6. Determine b(g(x)). -154*x**2 Let q(l) = 2*l. Let r(o) = -26753*o**2. Give q(r(u)). -53506*u**2 Let v(q) = 4*q + 106. Let k(i) = 59*i. What is k(v(c))? 236*c + 6254 Let h(n) = 31*n. Let o(i) = -3*i**2 + 111*i + 2. What is h(o(a))? -93*a**2 + 3441*a + 62 Let c(q) be the first derivative of 4*q**3/3 - 1. Let s(d) be the third derivative of -d**5/30 + 2*d**2 + 168*d. Give s(c(x)). -32*x**4 Let j(s) = -47*s. Let y(o) = 26*o**2 + 4. Calculate j(y(f)). -1222*f**2 - 188 Let b(i) = -i + 1 - 1. Let a(h) be the third derivative of 7*h**5/60 - h**2 + 159*h. Calculate b(a(f)). -7*f**2 Let x be 104/24 - (-4)/6. Let y(p) = 0*p**2 - x*p**2 + 3*p**2 + p**2. Let q(o) = 55 - 27 - 28 + 12*o**2. Determine q(y(f)). 12*f**4 Let p(h) = -48*h**2 - 2*h - 98. Let i(m) = 3*m. Determine p(i(v)). -432*v**2 - 6*v - 98 Let j(w) = -2*w**2. Let i(g) = 18*g - 198. Determine j(i(l)). -648*l**2 + 14256*l - 78408 Let z(h) = 3*h**2 + 5*h - 5. Let m(d) = d**2 + 2*d - 2. Let y(n) = -10*m(n) + 4*z(n). Let v(w) be the third derivative of 8*w**5/15 - 370*w**2. Give y(v(r)). 2048*r**4 Let t(u) = 3*u. Let j(k) be the third derivative of -k**5/12 - k**4/3 + 80*k**2. Calculate t(j(y)). -15*y**2 - 24*y Let g(q) = -11*q**2. Let u(r) be the third derivative of r**8/2520 - 4*r**5/5 + r**4/12 - r**2 - 2. Let w(o) be the third derivative of u(o). Give g(w(m)). -704*m**4 Let c(w) be the second derivative of -7*w**5/40 + 17*w**3/6 + 31*w. Let a(x) be the second derivative of c(x). Let v(d) = -2*d**2. Calculate v(a(g)). -882*g**2 Let g(v) be the first derivative of -11*v**5/60 + 9*v**2/2 + 32. Let i(c) be the seco
{ "pile_set_name": "DM Mathematics" }
d What is the third biggest value in 2, -9295, 1/3, 1, 3/5? 3/5 What is the second biggest value in -3/4, -89.8, -161, 1? -3/4 What is the smallest value in 30, -4, 2149.3, -1? -4 What is the fifth smallest value in -5/4, 4, -39, -10.2, 0.1? 4 What is the second biggest value in -10/7, 4, -4, 40, 113, 4/7? 40 What is the third biggest value in 9, 0.347, 5, 0.2, 1143? 5 Which is the fourth smallest value? (a) -3 (b) -107 (c) 34 (d) -8 (e) -4 (f) -0.01 a Which is the third smallest value? (a) 0.1 (b) -2444/9 (c) -11.8 (d) -3/8 d Which is the third biggest value? (a) -2784 (b) -0.4 (c) 836 (d) 1/3 b Which is the second smallest value? (a) -2 (b) 555 (c) 0.2 (d) 0.048861 d What is the biggest value in -73, 2/3, 645, -2/19, -2? 645 Which is the biggest value? (a) -0.0876 (b) 0.08 (c) 14347 c What is the second smallest value in -2310829, 1, 0.3? 0.3 What is the third smallest value in -2, 0.05, 3/4, -6/226883? 0.05 Which is the seventh biggest value? (a) 2/5 (b) -15 (c) 2/7 (d) 6 (e) 543 (f) 0 (g) -3 b What is the fifth biggest value in -0.4, 0.1, 2/13, -58, -229, 4, -5? -5 Which is the second smallest value? (a) -1/15 (b) -1/214 (c) 1.7 (d) 345 b What is the second smallest value in -0.31, 49, -0.05, 2? -0.05 Which is the smallest value? (a) -3 (b) -0.0651 (c) 85 (d) -7 (e) -2/3 (f) -2 d Which is the smallest value? (a) 45 (b) -5 (c) 4 (d) 0.5 (e) -0.5 (f) -3891 (g) -2 f What is the fourth smallest value in -59, 332, 5/18, -0.3, -3, 0.1? 0.1 What is the second smallest value in 4, 1/6519, -591? 1/6519 What is the third smallest value in -10/3, -7, 0, 1.44, 1, -5, -6/23? -10/3 Which is the fifth biggest value? (a) 81094 (b) 0.06 (c) 2/19 (d) 0.05 (e) -0.4 e Which is the smallest value? (a) -1/4 (b) 1866643 (c) -22 c What is the fifth smallest value in 70886, 2/3, 3, 0.1, 6? 70886 Which is the fourth smallest value? (a) 5 (b) 2/9 (c) 4 (d) 20 (e) -4/1185 (f) -0.5 c What is the fourth biggest value in 1, -4429, 754, -1/4, 1.4, 5? 1 What is the fourth biggest value in 2, -2.2, -2/15, -1/2, -2, -3? -2 Which is the second smallest value? (a) 0.17 (b) 0 (c) -2/23 (d) 466/9 (e) 0.4 b What is the third biggest value in -28, -25, -20, -76, 2/9? -25 Which is the sixth smallest value? (a) -10 (b) 2.8 (c) -2 (d) -1 (e) -6 (f) -2/11 (g) -4 f What is the second biggest value in 13, -77, 91094? 13 What is the second smallest value in 0.2, -13.12, -0.5745? -0.5745 What is the third biggest value in 1828, -3/19, 25, -2/7? -3/19 Which is the smallest value? (a) -4 (b) 0.1 (c) 8.0233 a What is the second smallest value in 0.2, 187, -0.2, -1, -134/11? -1 Which is the smallest value? (a) 15 (b) 1 (c) 2/25 (d) -14 (e) 4/3 (f) 0.51 (g) 0 d What is the smallest value in -8, -219, -42.7? -219 What is the seventh smallest value in 4, 0, -3/2, 5, -2/15, 8/3, 0.24? 5 What is the third smallest value in -2/13, -27.5, 0.1, 3/7, 0.5, 36/31? 0.1 Which is the fifth biggest value? (a) -0.5 (b) 58297 (c) 3 (d) -1 (e) -4 (f) -0.05 d What is the second biggest value in 1, -43, -256/99? -256/99 Which is the smallest value? (a) 656317 (b) 6 (c) -8 (d) -3/2 c What is the second smallest value in -0.107, -1.3, 4213? -0.107 Which is the biggest value? (a) 0.11 (b) 60/67 (c) -3.4 (d) 24 (e) 2/17 d Which is the second smallest value? (a) -8 (b) 1/6 (c) 170.9 (d) 2/13 (e) 0.4 (f) 2/9 (g) 0.3 d What is the smallest value in -1/7920240, 0, -2? -2 What is the biggest value in 84.9, 1, 30, 2/5? 84.9 What is the second smallest value in 0.2, 2/9, -1, -100, -5/461? -1 What is the smallest value in 1/4, -26, -70, 3.1? -70 What is the fifth biggest value in -1, 26, 18, -0.5, 23? -1 Which is the smallest value? (a) -2.7 (b) -21/11 (c) 5 (d) 0.3 (e) 17 a What is the second biggest value in 0.3, -5, 2/3, -290, 5, -0.1, 13? 5 What is the second smallest value in -5.6809525, 3, 5? 3 What is the fourth biggest value in -0.4, 4, -37, -4, -185/4, 1/10? -4 Which is the fourth smallest value? (a) 5 (b) 54 (c) -4.932 (d) 2/5 b Which is the seventh smallest value? (a) 1 (b) 5 (c) 3 (d) -9 (e) 1/4 (f) 7 (g) -0.1422 f Which is the seventh smallest value? (a) -0.3 (b) 4 (c) -1/3 (d) -1/2 (e) -10 (f) -2 (g) 442 g What is the sixth biggest value in 6/5, -15, -4, 2, 16, 2/35? -15 Which is the biggest value? (a) -3 (b) 1 (c) -4 (d) -2/7 (e) -5055 (f) -0.039 b What is the smallest value in -0.2, -5, -2, 0.2, -1432, -47? -1432 What is the third biggest value in -2, 24/25, -0.238, 127? -0.238 What is the second biggest value in 5884885, 64, 1? 64 Which is the fifth smallest value? (a) 4/5 (b) 10 (c) -0.22 (d) 0.3 (e) 456 (f) 1/3 b What is the third biggest value in -333, 26, 0.171, 0.3, -2? 0.171 Which is the third smallest value? (a) -0.3 (b) 1 (c) 0.12 (d) -2/16685 c Which is the biggest value? (a) 22/69 (b) 14/475 (c) -2/5 a What is the smallest value in -0.1, -0.24078, -0.5, 5? -0.5 What is the sixth biggest value in -1/3, 1/2, 29, -4, 3/5, 0? -4 What is the second smallest value in 15, 0.1, 3/16, -11/59, 1/2? 0.1 Which is the biggest value? (a) -4.9 (b) -38 (c) -3 (d) -127 (e) -1.1 (f) -4 (g) -2 e What is the second smallest value in -336, 0.4, 530, -197? -197 Which is the second biggest value? (a) -0.4 (b) 1 (c) 1496.96 (d) -2/11 (e) 0.2 b Which is the fifth smallest value? (a) -2/5 (b) -4/5 (c) -2 (d) -34 (e) -7 (f) -4 (g) -44 c What is the third biggest value in -2/7, -34044, 23? -34044 What is the third biggest value in 528, 750, 1/4, 3, -0.04, -0.4? 3 What is the fifth biggest value in 0, 2/7, -5, -0.4, 4, -55969, -2/11? -0.4 Which is the fifth smallest value? (a) -431 (b) 0.03 (c) 3 (d) 3/4 (e) 0.2 (f) 1 f What is the third biggest value in -6, 0.1, -2264777? -2264777 What is the smallest value in -5, 2/2605, -1, 11.534, 1/4? -5 What is the smallest value in 5, 1/11, 3.9, 35.2? 1/11 Which is the fourth biggest value? (a) -1 (b) 23 (c) 4 (d) -2122.4 d What is the third smallest value in 2.1, 6, 19, -0.2, -7, 5, -1? -0.2 What is the third biggest value in -2/5, -200874, -50? -200874 What is the sixth smallest value in 2, 3/5, 250/37, -4/9, -5, 0.4, 15/26? 2 Which is the fifth biggest value? (a) -1 (b) 213214 (c) 0.1 (d) 0 (e) -13/4 (f) 12 a Which is the sixth smallest value? (a) 2/27 (b) -9 (c) 1 (d) -0.1 (e) 3 (f) -5 (g) -10/7 c Which is the second biggest value? (a) 4 (b) 411769 (c) -4 a Which is the fourth smallest value? (a) -2/5 (b) -33 (c) 4 (d) -5 (e) 265 c What is the fourth smallest value in -0.1, 4, -3, 5, -1/2, 2/13, -448763? -0.1 What is the fourth biggest value in 5, 1895890, -4, -0.5? -4 What is the biggest value in -218, 1/2, 148, -3/8, -6, -0.4? 148 Which is the third biggest value? (a) -292 (b) -3 (c) -4 (d) 0.14588 c What is the third smallest value in 81, -4, 0.5167? 81 What is the biggest value in -4/9, -1827, -2/19, 0.09? 0.09 Which is the third smallest value? (a) 0.05 (b) 5 (c) 2/13 (d) 2/17 (e) 4/61 (f) 4 (g) -4 e What is the third smallest value in -161, 3/8, 1, -1/6, -1, -0.3, 524? -0.3 What is the second biggest value in -5, -0.4, -7764553? -5 What is the second smallest value in -1, -60, 9, 552, 3? -1 What is the biggest value in 0.2649, -0.7, 45.2? 45.2 What is the fifth smallest value in 0, -5, 2/3, 0.23, -1, 603, 0.4? 0.4 What is the smallest value in -3, 2, 132920, 1, 0.303? -3 What is the sixth biggest value in 0.3, -6/911, -1/8, 1/36, 0.42, -0.5, -5/2? -0.5 What is the third biggest value in -74.7, 73737, -2/3? -74.7 What is the fourth smallest value in -1/228, 1, 0.03, 1.414? 1.414 What is the fourth smallest value in 4, 2, 3090.69, -0.4, -0.04? 4 What is the second biggest value in 1/2, -178077, 0.3, -15/8? 0.3 Which is the fifth smallest value? (a) 1/11 (b) 0.0588 (c) 0.5 (d) -4/3 (e) -4 (f) -0.4 a Which is the third smallest value? (a) -485605 (b) 1 (c) 0.2 b Which is the fourth smallest value? (a) -4/5 (b) -1/2134 (c) -4 (d) -3/2 (e) 1/7 (f) 8/7 b Which is the biggest value? (a) -1.35 (b) 768 (c) -3 (d) 6/7 (e) -4 b What is the third biggest value in 0, -0.1, 2/7, -1800, 3, -0.3, -2? 0 Which is the third biggest value? (a) -0.08 (b) -1/6 (c) -55
{ "pile_set_name": "DM Mathematics" }
Let q(l) = -l + 3. Let p = 33 + -25. Let i be q(p). Which is the nearest to 1? (a) 0 (b) i (c) 2/11 c Let q = -211 - -210. Suppose -3*j = 63 + 495. Let h = j - -927/5. Which is the closest to q? (a) -1/3 (b) 2 (c) h c Let q = 7 + -23. Let a = -15 - q. Let k = -3.8 + 4. What is the nearest to a in 3/5, 2, k? 3/5 Let n = 31.3 - 24.3. Which is the closest to -2/7? (a) 3 (b) n (c) 1/5 c Let g = -0.06 + -95.94. Let m = g + 96.07. What is the closest to 0 in 0.3, 2, m? m Let q(f) = f**2 - f - 5. Let p be (-46)/(-14) + (-14)/49. Let h be q(p). Let i be (-10 + h)*1/(-3). Which is the nearest to -1? (a) i (b) -3 (c) 2 b Let n be ((-10)/14 + 1)*(-3)/6. What is the nearest to -1 in 0.4, 4, n? n Let h = -0.3261 - -0.0261. Let r = -6 + 25/4. Let k = 5 + 0. Which is the closest to r? (a) -2 (b) h (c) k b Let f be (2/(-10))/((-60)/(-150)). Which is the closest to -0.4? (a) -1 (b) f (c) -2 b Let m = -588 - -586. What is the closest to -1 in 4, m, -0.2, 4/3? -0.2 Suppose -4*c = c. Let m = 20014/9 + -2224. What is the nearest to -2 in 0.2, c, m? m Suppose 0 = 3*w - 7 - 182. Let p be (1 - 0)*(w + -1). Let h = p + -184/3. Which is the closest to 1/3? (a) 4 (b) h (c) 2 b Let y = 153.1 - 153.21. Let m = -0.6 - -0.2. Which is the closest to y? (a) -0.1 (b) 2/15 (c) m a Let g = -0.28 + -4.72. Let y = 40 - 38. Which is the nearest to -2? (a) -2 (b) g (c) y a Let u = -1/3881 - -15531/27167. What is the nearest to u in 3/7, 0.4, 0, 5? 3/7 Suppose -98*m + 103*m = -j + 27, 0 = 4*j + m - 13. What is the closest to 3 in -2/43, 1/7, j, 5? j Let u = 9 + -2. Suppose -u = 2*b - 9. What is the nearest to b in -1, -24, 0? 0 Let p = -40 + 40. Suppose -4*s = -p*s + i + 11, s - 1 = -i. Which is the nearest to 0? (a) 0 (b) 3/2 (c) s a Let m(l) = l - 12. Let r be m(9). Let w = 4.6 - 0.6. Let i = 10 + -15. What is the nearest to r in 3, w, i? i Let f(l) = 2*l**2 - 62*l. Let n be f(31). Which is the closest to 0.1? (a) n (b) -3.6 (c) -0.4 (d) -2 a Let p = -1.3 + 6.3. Let u be (282/4230)/((-6)/(-40)). Which is the closest to 0? (a) p (b) u (c) 4 b Let i = 15 + -91/6. Let o be 17/36 + (-80)/360. Which is the nearest to 0? (a) -1/5 (b) i (c) o b Let l = -64/7 - -249/28. What is the nearest to -1/2 in l, -1, 7.1? l Let r = -9 + 7.8. Let p = 0.77 + 0.03. Let s = p - r. What is the nearest to 1/4 in -6/5, s, -1? -1 Suppose -4*j - 1 - 21 = -2*v, -2*j + 4 = 4*v. Which is the closest to -2? (a) -0.4 (b) v (c) -1/18 a Let z = -4.27 + 0.27. Let y = 18 - 18.04. What is the nearest to 0.1 in y, z, -0.3? y Let l = -37 - -36.89. Let r = -0.523 - 0.087. Let p = r - l. What is the closest to 2/13 in -0.1, 5, p? -0.1 Let u = -35 + 34.4. Let f = u + 0.1. What is the nearest to -0.1 in f, -5, -2? f Let v = -8.3 + -113.7. Let w = -126 - v. Let g be (-12)/(-27) - 4/6. Which is the closest to g? (a) 0.4 (b) w (c) 1/3 c Let z = -0.46 + 0.36. Let g = 74 + -70.1. Let j = g - z. Which is the closest to 0? (a) 5 (b) -2 (c) j b Let s be ((-4)/6)/(8/(-3)). Let g = 4/7 - 5/7. What is the closest to -5 in s, g, 2/11? g Let n be -1 + 0 - (-3 - 16). Suppose 2*b - 18 = 4*c, -c - 8*b + n = -4*b. Let l be 3/9*17/34. What is the closest to c in -4, l, 2/7? -4 Let g(v) = v**2 + 6*v + 1. Let q be g(-6). Let u = 0.1 + 0.4. Suppose -21 = -t - c - 25, -5*c + 5 = 0. What is the nearest to q in u, -4, t? u Suppose f + 420 = 15*f. Let i be (-14)/f + (-1 - 12/(-15)). Let s = -0.3 - -0.2. What is the nearest to 1 in s, 2/9, i? 2/9 Suppose -25 = 2*w - 5. Let q be w/(-135)*(2 + 1). Suppose 0 = -3*n - 4*n. Which is the nearest to n? (a) q (b) -1 (c) 5 a Let h = 1/3 + -8/15. Let n be (1 - 0)/(270/(-140)). Let m = n - 38/135. Which is the closest to -0.1? (a) m (b) -5 (c) h c Let d = -2.33 + 2.23. Which is the closest to d? (a) -3 (b) 3 (c) 0.02 c Let h be 15/(-40)*(-3 + 11/3). What is the nearest to 1 in h, 6, 3? h Let f = 1.1 + -0.9. Let h = -0.2 - f. Let j = h + -0.1. What is the closest to 1/4 in 1/2, 0.3, j? 0.3 Suppose -6*z + 203 - 47 = 0. What is the nearest to 1/4 in -2, -5, z? -2 Let r = -3.4 - -1.4. Let i = 7.6 + -10.6. Which is the nearest to r? (a) 1/5 (b) i (c) 4/7 b Suppose -3*y + 32 = 35. Which is the closest to 0.1? (a) 0 (b) y (c) 2 a Let f = 4 - 3.9. Let d = f + 0. Suppose -h + 4*h = 0. Which is the nearest to d? (a) h (b) 0.5 (c) -4 a Let k(f) = -2*f**3 + 21*f**2 + 14*f - 37. Let m be k(11). Which is the nearest to 2/3? (a) m (b) -3/4 (c) -5 b Let w = -89 - -87.5. Let u = w + 1.9. Which is the closest to -1? (a) -4 (b) u (c) 3 b Let h = -35289/104 - -4416/13. Let z = -0.4 + 0.3. Which is the closest to z? (a) 5 (b) -3 (c) h c Let d = 2 - 0. Let m = d - 7. Let n = 1972 - 1973. What is the closest to n in -0.4, 5, m? -0.4 Let o = 115 - 114. Which is the closest to o? (a) 6 (b) -0.2 (c) -12 (d) 0.5 d Let g = -4/41 + 102/205. Let x = 120 + -599/5. Which is the nearest to -1? (a) x (b) g (c) -4/3 c Let y = -76/21 - -422/105. Let v = -74/3 + 25. What is the closest to v in 1, -0.2, y? y Let h = 879 - 875. What is the closest to -0.2 in h, -4, 2? 2 Let r be 27 + -5 - (0 - -3). Let x = r - 4. Which is the closest to x? (a) -1 (b) -0.2 (c) -5 b Let z be 2/6 - 4/((-84)/(-91)). Let v be (-23)/6 - z/1. Which is the nearest to 1? (a) 0.4 (b) v (c) 10 a Let x = -0.1644 + 0.1744. What is the nearest to -2/7 in -3, -0.12, x? -0.12 Let q = -18.4 + -9.8. Let w = -28 - q. What is the nearest to -1 in w, 0.1, -2? -2 Let i be (4/(-5))/(2/5). What is the closest to -8 in i, 1/4, 0.3, 3/5? i Let b = 409 + -332.6. Let o = 76 - b. What is the closest to -1/4 in -4, o, 4? o Suppose 5*s + 2 = -5*x - 48, -16 = 2*x + s. Let m be (-3)/((-13)/x + 18/(-27)). Let g = 0 + 5. Which is the nearest to 1/4? (a) g (b) m (c) 0.2 c Suppose -p + 6 + 6 = 0. Let i be 16/p - 1/1. Let q = -1.713 - 0.287. Which is the nearest to i? (a) 0.3 (b) -0.4 (c) q a Let z = -25/6 - -137/30. Let m = -1387 + 1390. What is the nearest to z in 3/8, m, 3/7? 3/8 Let y be (153/81 + -2)*-3. Let p be 3/2*4/39. What is the nearest to y in 0.1, -0.5, p? p Let q = -15/2 - -7. Let y = 0.32 - 0.02. What is the nearest to 0.2 in y, q, -5? y Suppose u = -3*u. Suppose u + 4 = -2*f. Let p be 6/(-255)*(f + 7). Which is the closest to 1/3? (a) p (b) -0.2 (c) 0.4 c Let t = 242 - 242. What is the nearest to -1 in t, -1/3, 4? -1/3 Let g(w) = -w**3 - 4*w**2 - 4*w - 1. Let x = 0 + -3. Let u be g(x). Which is the closest to 1? (a) u (b) 3 (c) 1 c Let j = -0.07 + -0.03. Let o = j + -0.2. Let f = 0.2204 - 0.0204. Which is the nearest to f? (a) -1/9 (b) -2 (c) o a Let d = 0.502 - 0.002. What is the closest to -2 in d, -2, -0.1, -0.3? -2 Let q be (-10)/(-2) + -14 + 14. What is the nearest to -1 in -5, q, 1? 1 Let x = 23.6 - 5.9. Let y = x - 18. Which is the closest to 0? (a) 2 (b) y (c) -0.5 b Let b = -4 + 3. Let v = -86.2 - -86. Let q = 12.4 - 12. What is the nearest to v in 0.3, b, q? 0.3 Let z = 0.8 - 0.25. Let t = z + -0.45. Which is the nearest to t? (a) 3 (b) 0.6 (c) -1 b Let q = 0 - 0. Let m = -29 + 54.5. Let y = m - 25. Which is the nearest to q? (a) 2 (b) y (c) 5 b Suppose -3*u - 2*u + 4*j = 25, 5*u + 25 = -2*j. Let w = 447/2 - 224. Which is the nearest to -2/3? (a) -2/9 (b) u (c) w c Let b = -0.05 - -0.15. Let f = 0.102 - 0.002. What is the nearest to b in f, -3, 2? f Let h = -8 - -8.1. Let y = -8 + 6. Let d = 0.7 - 0.3. Which is the closest to y? (a) h (b) d (c) -0.4 c Let h = 2289 + -2288.8. Let v = -1.5 - -2. Which is the closest to h? (a) v (b) 7/2 (c) 4 a Let i = 22 + -65/3. Let w be ((-3)/(12/8))/10. Let d = 0.57 + -0.27. What is the nearest to d in -1/4, i, w? i Let i = 7.8 + -8. Let f = -6 - -2. Let j be 1/(-3) + f/6. Which is the nearest to -1? (a) -4/5 (b) i (c) j c Let v be 6/(-8) + (-1711)/(-260) + -7. Let o = 23/13 + v. Let n = 3 - 2. Which is the nearest to 0.1? (a) 2/3 (b) o (c) n b Suppose -v = -2*h - 3, -2*v - 3*v + 20 = -5*h. Let u be (-4)/((-64)/76) - (-3)/12. Suppose -6*j = -u + 5. What is the closest to j in -1/3, 4, v? -1/3 Let b = -289 + 140. Let k = b - -148. What is the nearest to k in -0.3, -1/2, -4? -1/2 Let p(l) = -l**3 + 10*l**2 - 7. Let x be p(10). Let w be (-4)/30*((1 - x) + -2). What is the nearest to -2 in -1/3, 1, w? w Let z = 4 +
{ "pile_set_name": "DM Mathematics" }
m**4 + m**2 - 578 - 579 + 3*m**3 + m to x*m**3 + q + n*m**4 + f*m**2 + u*m and give f. 1 Rearrange (5 - 2 - 4)*(-13733*l + 14933*l + 32147*l) to the form f*l + g and give f. -33347 Rearrange (-169*p + 578*p + 481*p + 518*p - 3)*(0 + 2 + 0)*(5*p**3 - 4*p**3 + 4*p**3) to o + r*p**3 + m*p**4 + t*p**2 + q*p and give m. 14080 Rearrange -c**2 + 0 + 0 + (-2*c + 5*c - 4*c)*(3*c + 8*c - 5*c) + c**2 + 0*c + 0*c + c - 140*c**2 - 7*c + 134*c**2 to y + h*c + t*c**2 and give h. -6 Rearrange 6*j**4 - 13*j**4 + j**2 + 2*j - 35*j**3 + 48*j**3 - 44*j**3 + 6*j**4 to the form n*j + y*j**4 + v*j**2 + q + k*j**3 and give y. -1 Express (4*g + 0*g - 2*g)*(2*g**2 - 3*g**2 + 6*g**2) - 8*g**3 + 11846*g - 11948*g + g**3 as o + s*g**2 + p*g + i*g**3 and give i. 3 Rearrange (-27 + 34 + 117 - 1 + 3 - 3 + (3 - 3 - 2)*(1 - 2 + 2) - 1 + 5 - 1 - 1 + 3 - 3)*(-2*o**3 - o**3 + 0*o**3) to v*o**2 + a*o**3 + f + j*o and give a. -369 Rearrange 4290*y + 1832*y + 3691*y + 1133*y - 947*y to the form h + j*y and give j. 9999 Express (1 - 1 + 2*y)*(-3 - 1 + 6) + (3 + 2*y - 3)*(429 + 570 + 423) as d + v*y and give v. 2848 Rearrange 84 - 77 - 1204*o + 366*o to k*o + h and give h. 7 Express -3 + 190*c**3 - 104*c**3 - 80*c**3 + 96*c**2 in the form k*c**2 + o*c**3 + p + y*c and give k. 96 Rearrange -64*c**2 - 6809*c**4 - 16*c**3 + c + 6813*c**4 + 15*c**3 to the form a*c + n*c**4 + t*c**2 + y*c**3 + v and give y. -1 Rearrange 11 - 82 - 2*g + 22*g**2 + 54 - 37*g**3 + 17 to the form d*g**2 + i*g + c + y*g**3 and give c. 0 Rearrange 0*k**2 - k**4 - 5 + 2*k**2 - 38*k**3 - 10*k**2 + 37*k**3 - 2*k to j*k**3 + u + v*k + l*k**2 + c*k**4 and give v. -2 Rearrange -20*q + 321 - 2*q**3 + 367 - 625 to o*q**3 + l*q + a*q**2 + y and give a. 0 Rearrange -123*l**3 - 9523814 + 9523728 - 2*l + 2*l to o*l**3 + n*l**2 + a*l + v and give v. -86 Express -203357*d - 203341*d + 406520*d - 40*d**3 in the form z*d**3 + f*d**2 + x + r*d and give r. -178 Rearrange (6*q**3 - 20*q**3 + 0*q**3)*(-15 - 20 + q + 45) to the form c*q**2 + g*q**4 + l*q + k*q**3 + m and give k. -140 Rearrange (0*p**2 - p**3 + 0*p**2)*(1234 + 8677 + 6743 + 17723 + 1273) to t + g*p**3 + q*p + r*p**2 and give g. -35650 Express (6 + 8 + 2)*(-630*h + 1896*h - 636*h - 3654 - 628*h) as n + o*h and give n. -58464 Express j**3 - 3*j**2 - 37*j**4 - 24 + 14305*j + j**2 - 14303*j in the form z*j**3 + v*j + b*j**2 + c*j**4 + g and give g. -24 Express (-9*n**3 - 4*n**3 + 3*n**3)*(8275*n - 79 + 24 + 27 - 2213*n + 28) in the form p*n**4 + c*n**2 + k*n + x + t*n**3 and give p. -60620 Rearrange -5 + 2*t**3 + 6 + 1573*t - 1585*t + t**2 + 8*t**4 to the form j*t**3 + a*t**2 + x*t**4 + k + d*t and give k. 1 Rearrange -4 - i**3 - 3535*i + 3*i**4 - 3564*i + 7097*i to t*i**4 + m*i + a*i**2 + x + n*i**3 and give m. -2 Express (-25*b + 123*b - 40*b + (1 + 1 + 0)*(-1 + 4*b + 1) - 2*b - 3*b + 3*b)*(b**2 + b - b) in the form u*b**3 + y + n*b + i*b**2 and give u. 64 Express 51*z**3 + 5*z**3 + 2*z**3 + (-5*z**2 + 5*z**2 - 2*z**2)*(z - 4*z + 2*z + (4*z - 5*z - z)*(4 - 1 - 1)) in the form b + c*z**3 + m*z + i*z**2 and give c. 68 Rearrange 2 + 182*n - 3 + 107*n to the form g*n + m and give g. 289 Rearrange (7*k**3 + 5*k**2 - 5*k**2)*((-5 + 3 + 0)*(k - k + 2*k) + 3 + k - 3)*(62 - 7 + 17) to the form q*k**4 + g*k**3 + t*k + z*k**2 + l and give q. -1512 Express 28 + 11697*g + 2*g**4 - 118 - 11696*g - 5*g**3 in the form q*g**3 + y*g + u + i*g**2 + j*g**4 and give j. 2 Rearrange -86138*w**2 - 12 + 86116*w**2 - 25 to the form n*w + z + g*w**2 and give g. -22 Rearrange (-302 - d + 358 + 0*d)*(2*d**2 + 2*d**2 - 13*d**2) to n*d**3 + r + j*d**2 + g*d and give j. -504 Express 442*x - 11572 + 5784 + 38*x + 5788 as i*x + r and give i. 480 Rearrange (0 + 1 + 1)*((-7 + 2 + 1)*(-5*d - 14*d + 3*d) + (1 + 2 + 0)*(-5 + 5 - 12*d)) to b*d + v and give b. 56 Express -7*q**3 + 13*q**4 - 4 - 2*q + 0*q - 22*q + 22*q - 2*q**2 in the form o*q**2 + t + l*q**3 + n*q + w*q**4 and give w. 13 Rearrange (0 - 4 + 0)*(-10 + 4 + 4)*(-12*m - 7*m + 2*m) to the form h*m + g and give g. 0 Rearrange -21*i - 8*i - 10*i**2 - i**3 - 26*i - i**3 + 2 + 53*i + 11*i**4 to the form h*i + q*i**4 + y*i**2 + n*i**3 + w and give w. 2 Express (-4 - 70 - 86)*(-u + 5*u - 2*u) - u + 3*u + 0*u + 8*u + 1 - 1 as x + v*u and give v. -310 Express 6*m**3 + 9*m**3 + 0*m + m**4 + 5*m - 14*m**3 - 3*m + 51*m**2 as c*m**2 + u*m + q + w*m**3 + a*m**4 and give u. 2 Express -13654*x + 18607*x + 1 - 1 + 22530*x in the form a + n*x and give n. 27483 Express 2*t**2 + 10562*t**3 - 20968*t**3 + 7*t + 10487*t**3 + 3 as u + p*t**3 + v*t**2 + q*t and give u. 3 Express (36*l**2 + 30*l**2 + 2*l**2)*(-63 + 63 - l) + (5*l**2 - l**2 - 3*l**2)*(-1 + 1 - l) in the form k*l**2 + y*l + b*l**3 + z and give b. -69 Express 2*l**3 - 217691*l + 2*l**4 + 218010*l + 4 - 5 as t*l**2 + j*l + n*l**4 + r + u*l**3 and give n. 2 Express -65 - 158 + 1571*t**2 - 2*t + 223 as s*t + n + b*t**2 and give b. 1571 Rearrange (-5*w + 47*w - 19*w)*(2*w**3 + 5*w**3 - 2*w**3) - 2*w - 2111*w**4 + 2114*w**4 - 8*w to the form i*w**4 + a + n*w**2 + j*w + s*w**3 and give j. -10 Rearrange 2*m + 3244*m**2 - 1737*m**2 - 1804*m**2 + 2 to i*m + s*m**2 + c and give c. 2 Rearrange (22778*a - 89739 + 89739)*(2 + 2 - 5)*(2 - 1 + 0 + (4 - 3 + 1)*(2 - 3 + 3)) to d + i*a and give i. -113890 Rearrange -62*f - 3*f**2 + 5*f**2 + 2*f**3 - 582 + 588 + 0*f**2 to the form s*f**2 + m*f + u*f**3 + l and give u. 2 Rearrange (0 + 0 - 94*w)*(-2 - 2*w + 2 + (-1 + 3 + 0)*(78 - 78 + 68*w)) to n + h*w + u*w**2 and give u. -12596 Rearrange 8516*u + 5519*u - 7425*u + 11347*u - 1 to the form v + k*u and give k. 17957 Rearrange (-65*b - 67*b + 119*b + 3)*(-260 - 121 + 56) to u*b + m and give u. 4225 Rearrange 5*y**3 - y**4 - 96*y**2 + 288*y**2 - 102*y**2 - 1 - 80*y**2 + y - 4*y**4 to the form q*y**2 + c*y + v*y**4 + a*y**3 + k and give q. 10 Rearrange (2*g - 5*g - g)*(-1053 + 942 - 906)*(1 + 0 - 2) to the form x + j*g and give x. 0 Rearrange 21*h**2 - 16 - 20*h**2 + h + 47*h**3 + h**4 - 48*h**3 to g*h + f*h**4 + b*h**3 + j + y*h**2 and give f. 1 Rearrange -4977597*x + 4977600*x + 308*x**2 - 1 - 1183*x**2 to c + h*x + j*x**2 and give h. 3 Express (6595*w + 413843 - 413843 + 6995*w + 2761*w)*(-w**2 - 2*w**2 + 2*w**2) in the form q + y*w**3 + z*w + f*w**2 and give y. -16351 Rearrange 8*q**2 - 76 - 358 + 565 + 1185 to r + c*q**2 + z*q and give r. 1316 Rearrange i - 35673 - 23*i**4 + 11893 + 11893 + 11886 + 7*i**2 to g*i**4 + b*i**3 + j*i**2 + q + c*i and give g. -23 Express -11 - 8 + 7 + f + 18 - 18*f**3 - 15 - 3*f**2 as s*f**3 + m + i*f + y*f**2 and give m. -9 Express -5*m + 131*m - 4*m + 477*m**2 - 123*m as q*m + n*m**2 + l and give n. 477 Express 438*j + 17*j**2 - 418*j - 11*j**2 + (2*j - 3*j + 2*j - 1)*(0*j - 3*j + j) as t + o*j + h*j**2 and give o. 22 Express 6 - 14 - 2 - 99*b**2 - 156*b**2 as z + t*b**2 + r*b and give t. -255 Rearrange -9639*k**2 - 3 - 13551*k**2 + 3437*k**2 + 3 to w*k**2 + b + j*k and give w. -19753 Rearrange -18498 - 5*x**2 + 18518 + x**3 + x + 7*x**2 to the form r + h*x**3 + s*x + q*x**2 and give q. 2 Rearrange t**2 + 12*t - 10*t - 4*t + 6*t**3 + (4*t + 3*t - 5*t)*(41*t**2 + 50*t**2 - 240*t**2) to w*t + k + n*t**2 + x*t**3 and give k. 0 Express 0*k**4 + 5*k - k**4 + 232675 - 6*k**4 - 232725 as z + t*k**2 + w*k**4 + o*k**3 + b*k and give o. 0 Rearrange (8642 - 4443 - 3768)*(-30 + 30 - 8*i) + i - 4*i + 2*i + 2*i - 6*i + 2*i to b + a*i and give a. -3451 Rearrange 18*f**3 + 2*f + 2*f**2 + 329646 - 19*f**3 - 329296 to d + k*f + i*f**3 + c*f**2 and give d. 350 Rearrange 22455*s + 32095*s - 69977*s to the form u + a*s and give a. -15427 Express -213*x**3 + 2*x**2 + 1 - 2 + 1021*x + 166*x**3 + 9*x**4 - 1023*x as h*x + u*x**2 + o*x**3 + j + w*x**4 and give o. -47 Rearrange -j - 36*j**2 + 31*j**2 - 6*j - 5*j + 0*j to k*j**2 + t + r*j and give r. -12 Rearrange -12*g + 23*g + 8*g + (-2*g + 2*g - 2*g)*(-7 + 14 + 13) + (-2 + 2 - g)*(-3 - 6 + 6)*(1 - 2 + 3) + g + g - 3*g to the form b*g + x and give b. -16 Rearrange -184*u + 29*u + u**2 - 2*u**2 + 20*u - 46*u to the form g + x*u**2 + r*u and give r. -181 Express -18 + 50 + 429*h**3 + 170*h**3 - 14 - 14 as o*h**3 + f*h**2 + s*h + t and give t. 4 Express -3*b**3 + 4*b**3 - 2*b**3 + (0*b - 5*b + 0*b)*(-b**2 + 4*b - 4*b) + 1 - 1 - 3*b**3 + 2 - 4*b**3 - 2 in the form z*b**3
{ "pile_set_name": "DM Mathematics" }
term of 794365862, 794365868, 794365888, 794365928, 794365994, 794366092, 794366228? x**3 + x**2 - 4*x + 794365864 What is the g'th term of 5787, 11635, 17525, 23463, 29455? g**3 + 15*g**2 + 5796*g - 25 What is the z'th term of -1152, -2267, -3392, -4527, -5672? -5*z**2 - 1100*z - 47 What is the p'th term of -157852, -157519, -157186, -156853, -156520? 333*p - 158185 What is the v'th term of 5820763, 11641529, 17462295? 5820766*v - 3 What is the w'th term of -25758, -25212, -24666? 546*w - 26304 What is the y'th term of -20635, -82484, -185527, -329758, -515171, -741760, -1009519? y**3 - 20603*y**2 - 47*y + 14 What is the o'th term of 3471901, 13887595, 31247085, 55550371? 3471898*o**2 + 3 What is the f'th term of 500, 3686, 12324, 29138, 56852? 454*f**3 + 2*f**2 + 2*f + 42 What is the d'th term of 2607, 2633, 2639, 2613, 2543? -2*d**3 + 2*d**2 + 34*d + 2573 What is the a'th term of -101979668, -203959335, -305939002, -407918669, -509898336? -101979667*a - 1 What is the j'th term of -905260, -903301, -901342, -899383? 1959*j - 907219 What is the n'th term of -23795198, -47590372, -71385546, -95180720? -23795174*n - 24 What is the d'th term of -55901, -111854, -167807, -223760, -279713? -55953*d + 52 What is the g'th term of 2587283, 10349140, 23285561, 41396540, 64682071? -g**3 + 2587288*g**2 - 4 What is the d'th term of 83176, 83465, 83756, 84049, 84344? d**2 + 286*d + 82889 What is the u'th term of -23489, -46904, -70315, -93722? 2*u**2 - 23421*u - 70 What is the x'th term of -700070, -1400284, -2100498, -2800712? -700214*x + 144 What is the y'th term of -1025644, -1025661, -1025682, -1025707, -1025736, -1025769, -1025806? -2*y**2 - 11*y - 1025631 What is the r'th term of 141868847, 283737702, 425606559, 567475418, 709344279? r**2 + 141868852*r - 6 What is the v'th term of 253765, 253745, 253725? -20*v + 253785 What is the y'th term of 225, 812, 2239, 4926, 9293? 70*y**3 + 97*y + 58 What is the g'th term of -511, -4169, -10985, -20965, -34115, -50441? -g**3 - 1573*g**2 + 1068*g - 5 What is the r'th term of 1637142, 3274342, 4911542, 6548742, 8185942, 9823142? 1637200*r - 58 What is the w'th term of 752986, 1506076, 2259264, 3012550? 49*w**2 + 752943*w - 6 What is the w'th term of -882217, -1764669, -2647121, -3529573, -4412025? -882452*w + 235 What is the k'th term of 2311, 4562, 6829, 9118, 11435, 13786, 16177, 18614? k**3 + 2*k**2 + 2238*k + 70 What is the q'th term of -483, -401, -175, 261, 973, 2027, 3489, 5425? 11*q**3 + 6*q**2 - 13*q - 487 What is the z'th term of -9456, -19030, -28602, -38172, -47740, -57306, -66870? z**2 - 9577*z + 120 What is the k'th term of 18920, 37693, 56314, 74783? -76*k**2 + 19001*k - 5 What is the n'th term of -17333, -17347, -17377, -17417, -17461, -17503, -17537? n**3 - 14*n**2 + 21*n - 17341 What is the a'th term of 155157, 309925, 464693, 619461, 774229? 154768*a + 389 What is the q'th term of 213315, 426779, 640243, 853707? 213464*q - 149 What is the x'th term of -87212, -175167, -263122, -351077, -439032? -87955*x + 743 What is the x'th term of 1273, 854, 167, -794, -2035, -3562, -5381? -x**3 - 128*x**2 - 28*x + 1430 What is the n'th term of 103659, 207302, 310929, 414540, 518135, 621714? -8*n**2 + 103667*n What is the o'th term of 158778, 158791, 158800, 158805, 158806, 158803? -2*o**2 + 19*o + 158761 What is the v'th term of -21009, -41454, -61899, -82344, -102789? -20445*v - 564 What is the b'th term of 850855, 850571, 850287, 850003? -284*b + 851139 What is the m'th term of 11263, 13518, 15773, 18028, 20283? 2255*m + 9008 What is the x'th term of -149396, -148175, -146954, -145733, -144512, -143291? 1221*x - 150617 What is the u'th term of -1790, -14747, -27692, -40619, -53522? u**3 - 12964*u + 11173 What is the s'th term of 189, -114, -809, -1896, -3375, -5246? -196*s**2 + 285*s + 100 What is the p'th term of 5295, 42268, 142549, 337776, 659587? 5273*p**3 + 16*p**2 + 14*p - 8 What is the m'th term of 1412761, 2825527, 4238293, 5651059? 1412766*m - 5 What is the a'th term of 243298, 242981, 242664, 242347? -317*a + 243615 What is the r'th term of 353, -957, -4501, -11395, -22755? -186*r**3 - r**2 - 5*r + 545 What is the r'th term of 2392, 9420, 21136, 37540, 58632? 2344*r**2 - 4*r + 52 What is the n'th term of -5330, -11955, -18580? -6625*n + 1295 What is the q'th term of -163548281, -163548273, -163548259, -163548239? 3*q**2 - q - 163548283 What is the f'th term of -188771, -755055, -1698853, -3020165, -4718991? -188757*f**2 - 13*f - 1 What is the i'th term of -1166227, -2332086, -3497945, -4663804? -1165859*i - 368 What is the u'th term of -45987, -45755, -45523, -45291, -45059? 232*u - 46219 What is the c'th term of -8805, -15159, -21519, -27885, -34257? -3*c**2 - 6345*c - 2457 What is the d'th term of 2081, 2066, 2017, 1928, 1793, 1606? -d**3 - 11*d**2 + 25*d + 2068 What is the q'th term of 1337789, 2675594, 4013397, 5351198, 6688997, 8026794? -q**2 + 1337808*q - 18 What is the w'th term of 40933, 83509, 126085, 168661? 42576*w - 1643 What is the q'th term of 3954582, 3954565, 3954548, 3954531? -17*q + 3954599 What is the n'th term of -79714, -159455, -239196, -318937? -79741*n + 27 What is the s'th term of 13162, 3601, -5960, -15521? -9561*s + 22723 What is the y'th term of 197414, 396913, 596410, 795905, 995398? -y**2 + 199502*y - 2087 What is the w'th term of -36850, -294896, -995346, -2359402, -4608266, -7963140, -12645226? -36867*w**3 + 23*w - 6 What is the i'th term of 32, -673, -2736, -6883, -13840? -121*i**3 + 47*i**2 + i + 105 What is the f'th term of 67008, 65721, 64434, 63147, 61860? -1287*f + 68295 What is the w'th term of -32155515, -32155510, -32155503, -32155494, -32155483, -32155470? w**2 + 2*w - 32155518 What is the i'th term of 1925341380, 1925341382, 1925341384, 1925341386? 2*i + 1925341378 What is the y'th term of -379769426, -379769429, -379769434, -379769441, -379769450? -y**2 - 379769425 What is the u'th term of 5269, 17251, 49755, 113041, 217369, 372999? 1710*u**3 + u**2 + 9*u + 3549 What is the r'th term of -23645029, -23645078, -23645127? -49*r - 23644980 What is the z'th term of -48636, -48662, -48698, -48744? -5*z**2 - 11*z - 48620 What is the f'th term of 8810, 17575, 26298, 34979, 43618, 52215, 60770? -21*f**2 + 8828*f + 3 What is the d'th term of -6096, -6060, -6014, -5958? 5*d**2 + 21*d - 6122 What is the t'th term of 912802, 912777, 912726, 912637, 912498, 912297? -2*t**3 - t**2 - 8*t + 912813 What is the o'th term of 9085, 12471, 21667, 39577, 69105, 113155, 174631, 256437? 484*o**3 + o**2 - 5*o + 8605 What is the l'th term of 74744, 306020, 691480, 1231124, 1924952? 77092*l**2 - 2348 What is the y'th term of -3399, -11539, -25101, -44079, -68467, -98259, -133449, -174031? y**3 - 2717*y**2 + 4*y - 687 What is the g'th term of 1515634, 1514682, 1513742, 1512820, 1511922? g**3 - 959*g + 1516592 What is the u'th term of -1003, 1269, 3539, 5807, 8073, 10337? -u**2 + 2275*u - 3277 What is the i'th term of 141800658, 141800655, 141800652, 141800649? -3*i + 141800661 What is the h'th term of 2191, 2599, 3333, 4435, 5947? 7*h**3 + 121*h**2 - 4*h + 2067 What is the q'th term of 1768851, 3537703, 5306555? 1768852*q - 1 What is the u'th term of 7211631, 14423275, 21634931, 28846599, 36058279? 6*u**2 + 7211626*u - 1 What is the s'th term of 745517, 2982082, 6709691, 11928344, 18638041, 26838782? 745522*s**2 - s - 4 What is the n'th term of 2782, 5225, 7322, 9073, 10478? -173*n**2 + 2962*n - 7 What is the c'th term of 54958, 54937, 54916, 54895? -21*c + 54979 What is the p'th term of -936512, -1872566, -2808620, -3744674, -4680728? -936054*p - 458 What is the d'th term of -316105, -2528662, -8534185, -20229160, -39510073, -68273410? -316081*d**3 + 3*d**2 + d - 28 What is the w'th term of 994, 351, -714, -2195, -4086, -6381? w**3 - 217*w**2 + w + 1209 What is the k'th term of 330733, 1322961, 2976675, 5291875, 8268561? 330743*k**2 - k - 9 What is the o'th term of 1044, 1579, 2210, 2949, 3808, 4799, 5934? 2*o**3 + 36*o**2 + 413*o + 593 What is the i'th term of 3702, 13703, 30334, 53601, 83510, 120067? i**3 + 3309*i**2 + 67*i + 325 What is the d'th term of 3190, 3225, 3298, 3421, 3606? 2*d**3 + 7*d**2 + 3181 What is the o'th term of -5573, -22387, -50411, -89645, -140089,
{ "pile_set_name": "DM Mathematics" }
r d. 1 Let m = -47 + 67. Let s(p) = 15*p**2 + 12*p - 7. Let z be s(1). Solve 4*i + r = 3*r - z, 4*i + 5*r = -m for i. -5 Let u(m) = -m**3 - 11*m**2 - 1. Let x be u(-11). Let g be 2 + x + (-12)/4. Let l be -1 + g + (6 - -2). Solve -3*r - 3*i = 2*i - l, r - 3*i + 3 = 0 for r. 0 Let t = 406 + -392. Suppose 4*c - t + 6 = 2*b, 4*b + 4 = 4*c. Solve 0 = 4*r + 3*n, 4*r + c*n = 4*n for r. 0 Suppose -1 = 7*b - 22. Let u be (-2 - 1 - (-1 + -1))*3. Let v be ((-14)/u + -3)*3. Solve 16 = 4*g, b*g = v*k + 4 + 3 for k. 1 Let d(v) = v**3 + 7*v**2 + 14*v + 48. Let x(a) = -a**3 - 8*a**2 + 23*a + 24. Let c be x(-10). Let f be d(c). Solve -g - 3*g - 1 = -5*i, f = -3*g + 3*i for g. 1 Suppose -5 + 24 = 8*t - 5. Solve 5*i = -5*n - 0*i + 20, -t*n + 5*i = 20 for n. 0 Suppose 5*j - 48 = -13. Let o be 48/(-264) - ((-38)/285 - 668/165). Solve -1 = 3*p + o*r, 5 = -j*r + 2*r for p. 1 Let r(p) = -2*p**3 - 8*p**2 + 21*p + 59. Let x be r(-5). Solve -4 = 2*t - x*f, 0*f = -5*t - 5*f + 35 for t. 4 Suppose 0 = -7*b - 12882 + 12917. Solve 3*a + 29 - 16 = 4*u, -b*u = -4*a - 16 for a. 1 Let p(f) = -46*f - 775. Let b be p(-17). Solve t = -2*w + 7, -b = -5*t + w - 16 for t. -1 Let g(j) = j**2 - 2*j + 1. Let x be (6/(-4))/(39/(-26)). Suppose 4*b - x = 3*b. Let o be g(b). Solve 5*k = -o*p + p + 18, -4*p = 2*k + 6 for k. 3 Let r = 10 + -5. Let o(p) = -p**3 - 28*p**2 - 56*p - 104. Let w be o(-26). Solve 0*y + 19 = -3*y - r*u, w = 5*y - u + 13 for y. -3 Let y(l) = -8*l - 25. Let n be y(4). Let j = 97 + n. Let z be j/14 + 2/14. Solve -2*g - 4*c + 15 = 1, -z*g - c = 4 for g. -3 Suppose 16689*v - 16696*v = -14. Solve v*z - 3*k = 135 - 114, -4*k - 11 = 3*z for z. 3 Let c be -4*(-3)/(-78) - 54/(-13). Suppose -2*u - 11 = -3*u - 2*r, -5*u = c*r - 43. Suppose 42 = u*l - 238. Solve 5*w - 2*t - 5 = -6*t, -3*t = -5*w + l for w. 5 Let f = 6517 - 6516. Solve -3*a = -2*o - f, 3 = 4*a - 9*o + 6*o for a. -3 Suppose 0*u - 2*u = -54. Suppose 0 = -4*z + 17 + u. Let m be 2/((16/1)/80). Solve -5*v - m = -3*w, z - 3 = 2*w - 2*v for w. 5 Let z = -13942 - -13944. Solve w = -2*q + 1 + 4, -z*q + 3*w - 15 = 0 for q. 0 Let y(b) = -b**2 + 14*b + 1324. Let l be y(44). Solve -1 = 4*u + o - 20, -u - l*o = 14 for u. 6 Let a be 83 - (-4 + -1 + 3). Let f be 12/2 + (a - 71). Solve -4*n - 4*b + 16 = -9*b, -5*n - 3*b = -f for n. 4 Let a be 27/(-12) + 2 + 161/4. Let m be ((-8)/(-6))/(10/15). Suppose 25 + 35 = 15*t. Solve -n + 5*n = m*o + 10, 4*o - a = -t*n for n. 5 Suppose -325*t = -328*t + 18. Let c(j) = 3*j**2 - 14*j - 19. Let r be c(t). Solve 2*z - r = k + 1, 2*k + 4 = 2*z for k. 2 Let a(j) = 639*j - 636. Let b be a(1). Solve b*v = -4*c + 9, -4*c - v + 2*v - 3 = 0 for c. 0 Let q(h) = -3*h + 0 - 3*h**3 + 1 + 4*h**3. Let b be q(2). Solve 0 = -b*v + 4*i + 15, 4*v - 2*i = v + 15 for v. 5 Suppose -5*l + 16 + 43 = -4*a, 4*a - 29 = -3*l. Let f = -3 + l. Solve 0*o = -2*o - f, 0 = 3*k - 5*o - 20 for k. 0 Let x(r) = 15*r + 38. Let d be x(-6). Let c = d + 54. Solve -5*n + 15 = 0, -c*n + 4 = -f + n for f. 5 Suppose 0 = 2*c + 3*t - t + 2, c - 2*t = 11. Let b(a) = 2*a**2 + 8*a - 9. Let m be b(4). Let q = m - 53. Solve -4*d + 40 = -5*y, -5*y - 7 - c = q*d for d. 5 Let f = -18970 - -18974. Solve 5*d + 1 = f*z, -41*d + 15 = -36*d for z. 4 Let y be 1 - (-1 + -3) - 630/315. Solve 0 = -5*r - 0*o - y*o + 15, 4*r + o - 12 = 0 for r. 3 Suppose -3*r - 4 + 11 = u, -90 = -5*u - 4*r. Solve 2*z - 6 = 5*v, -u + 7 = 4*v - 5*z for v. 0 Let o = -794 + 795. Let k be (-8)/o + 2 - (-1 - 20). Solve 2*s = -5*v - k, 6*v = -5*s + v - 30 for s. -5 Suppose -315 + 55 = -26*y. Suppose -2*m = 5*n - 10*n + y, 3*m - 3*n = 3. Solve -m*j - 20 = 5*v, 6*v - 9*v = j + 12 for j. 0 Let d(s) = 2*s**2 - 125*s + 1787. Let u be d(22). Solve 5*o - 26 + 6 = 5*l, -u*l = -4*o + 15 for l. 1 Let i = 10 + -8. Suppose -2*b - i = -20. Let w be (83 - 84)/(-2*(-1)/(-58)). Solve w = 5*v - 4*o, -v + o + b = -3*o for v. 5 Let g = 61 + -115. Let q be (9/6)/(-5 - (-1512)/304). Let y = g - q. Solve 3*p + 0*p = -y*b + 12, 14 = 2*b + 4*p for b. 1 Let r(n) = n**3 - 61*n**2 + 329*n + 59. Let s be r(55). Solve 4*h - 3 = -o, 4*o + h + 14 = -s for o. -5 Let l = -4964 + 4983. Solve -5*p + l = 2*s, 1 = -p - 7*s + 5*s for p. 5 Suppose -4*f + 2*y = -40, 1 = -0*f + f - 5*y. Suppose -f = 5*h + 14. Let u be (h - -9) + 0 + -1. Solve 0 = 2*t - 4*d + 6, -u*d - d = -t - 9 for t. 3 Suppose q - 4*y - 15 = 0, -5*q - 26*y = -22*y - 3. Solve q*s + 23 = 4*f, 2*s = -5*f + 8*f - 17 for s. -1 Let g(k) = -k - 3. Let b = 2 - -8. Let q be g(b). Let j(p) = p**2 + 11*p - 20. Let c be j(q). Solve 3*z - c*z = -t + 11, -20 = 5*t for z. -5 Suppose -73*v - 726 + 726 = 0. Solve 39*t - 5*p - 20 = 34*t, 5*t - 2*p - 5 = v for t. -1 Suppose 2*m - 3*m - 2 = 0. Let i(u) = 2*u**2 - 11*u - 26. Let z be i(m). Solve 0*n + 6 = -2*n - 3*y, 0 = -z*n - y + 8 for n. 3 Let x = -91 + 95. Suppose 0 = 3*v - 13 + x. Solve -3*k = 4*t + 11, -5*t = v*k + k + 13 for k. 3 Let r(j) = -3*j - 29 + 3*j**2 + 33 - j**2 - j**2. Let a be r(3). Suppose 0*i + 3 = i. Solve -2*p - 19 = 5*v, -i*v - 11 = -a*p + 5*p for p. -2 Suppose -88 = -55*n + 11*n. Solve 5*i - 2 - n = 3*q, 11 = -5*q + 4*i for q. -3 Let r be (-60)/(-14) - 32/112. Solve 0 = -3*d + b - 4, -d = -r*d + 3*b for d. -2 Suppose 7*q + 252 = 266. Suppose 4*j + 4*p - 24 = 0, -3*p - 16 = -q*j - 4*p. Solve -i - j*v - 5 = -6*v, i - 11 = 4*v for i. 3 Let n = 5515 - 5487. Solve -4*t = 3*v - 28, -5*t + 8*t = -4*v + n for t. 4 Let i(w) = w**2 - 3*w + 5. Let z be i(5). Let m = -3681 + 3689. Solve -2*y - 23 = 3*p - m, -5*y + 3*p = -z for y. 0 Let o(v) = -3*v**3 - 11*v**2 - 30*v - 66. Let f be o(-3). Solve -n + 5*j + 5 = 0, 3*n - f*n - 19 = 2*j for n. -5 Let f(g) = -2*g**2 + 14*g - 92. Let u be f(14). Let w be 0/(4/(-18) + 512/u). Solve -5*z + 5 = -3*l, -2*l - 2*z - 3 + 5 = w for l. 0 Let g(j) = 3*j**2 + 5*j + 4. Suppose 4*s = -5 - 3. Let z be g(s). Let n be -3 - ((-20)/z - (-8)/24). Solve -4*q - 3*k + 35 = n, 4*q = 2*q + 2*k for q. 5 Suppose 0 = 22*f - 526 - 24. Solve 17 = 2*g - 3*r, 42*r = 37*r - f for g. 1 Suppose 11*z + 60 = 7*z. Let h be (16 + z - 2/4)*0. Solve b + 3*b - 2*a + 4 = h, 0 = 3*b - a + 2 for b. 0 Let k be -7 + 7 + 2 - (-4 + 2). Solve 8*j - 4 = 6*j + 2*m, -12 = -2*j + k*m for j. -2 Let q = -95 + 96. Let w be ((-10)/(10/(-5)))/q. Suppose 9*x - w*x - c - 23 = 0, 5*c = -5*x + 35. Solve -5*a + 5 = z - 10, 2*a - x = 3*z for a. 3 Let m(g) = 66*g - 258. Let i be m(4). Solve 0 = 3*q - 4*d - 13, -2*q - 6*d + 5*d - i = 0 for q. -1 Suppose 289 = -12*q + 45*q - 272. Solve -t = 2*g - 5, -18*t + q*t - 9 = -5*g for g. 2 Let j be ((-834)/(-9))/(10 - 261/27). Solve 3*v + 291 - j = -2*n, -v - 3 = 0 for n. -2 Let x = 2 + 9. Let u(z) = -11*z + 5*z + 17 - x. Let w be u(0). Solve 5*t = -4*j + t - 24, 5*j = 3*t - w for j. -3 Let n(v) = -v**2 + 204*v - 2092. Let h be n(11). Solve -3*k + m + 7 = 0, 4*k - 6 = 34*m - h*m for k. 3 Let m be (-2)/(-6) - (-40)/15. Let d = -7615 - -7617. Suppose -5*l = -4*r + 7 - 4, 3*l - 13 = -5*r. Solve -2 = -q - d*q + i, r*i = m*q - 7 for q. -1 Let q be 0 + (-32)/(-6) - 2/6. Suppose 3*n + 4*d = 14, -2*n + n + q*d - 8 = 0. Solve -g + 5 = -6*g - 5*w, -g + n*w = -8 for g. 2 Let i = -777 - -781. Solve -5*t + 22 = 2*w, 4*w + 0 = i for t. 4 Let b be 6/((-90)/(-40)*20/90). Solve -b*q + 21 = -6*w - 9*q, -w - 6 = -q for w. -1 Suppose -9 = 5*a + 3*n - 47, 4*a - 29 = -n. Suppose 2*v - 11 = -a. Solve v*o + 4*x = 3*o + 13, -2*o + 2*x - 8 = 0 for o. -1 Let z = 2861 - 2846. Solve 5*y - 2*w + z = 0, 0 = 15*y - 18*y + 4*w + 5 for y. -5 Let b be (-5)/(-10) + ((-18)/(-36) - 4/(-2)). Solve -b*h + 25 = 4*y + 14, h - 9 = 4*y for h. 5 Suppose 0*z - 11 = -11*z. Let q be (z + -63)*3/(-6). Suppose 0 = 36*b - q*b - 45. Solve 3*w = 3*s + 1 - 10, -2*s = w + b for w. -5 Let d be 4/(-6)*30/4. Let f = d + 7. Solve -5*i + 3*r = -f*i + 9, -i - 5*r = 3 for i. -3 Suppose 602 = 354*o - 460. Solve -3 = -k, o*u - 4 = u + 2*k for u. 5 Let v(o) be the first derivative of -8*o**2 + 314*o - 253. Let c be v(19). Solve -5*t = -m + c, t + t - 5*m + 27 = 0 for t. -1 Let b = 479 + -475. Solve 2*z - 31 = -3*j + 7*z, 5*j = b*z + 30 for j. 2 Suppose 0 = 3*w - 1365 + 1359. Solve 0*n + n = 3*s - w, 2*s - n - 1 = 0 for s. 1 Suppose -38*z - 148 + 262 = 0. Solve z*a = 3*q - 7 + 4, 13 = -a + 5*q for a. 2 Let a be ((7/(-14))/(-1))/(24/3600). Solve 2*w + 6
{ "pile_set_name": "DM Mathematics" }
multiple of 10? False Is 805 a multiple of 89? False Is 71 a factor of 18460? True Does 5 divide 125? True Does 53 divide 4250? False Is 5 a factor of 2930? True Is 41 a factor of 171? False Is 2664 a multiple of 9? True Does 57 divide 1874? False Is 25740 a multiple of 66? True Is 9 a factor of 3078? True Does 15 divide 10199? False Is 8590 a multiple of 10? True Does 4 divide 7628? True Does 5 divide 3600? True Is 17 a factor of 9962? True Does 38 divide 3968? False Is 2 a factor of 123? False Is 50 a factor of 6100? True Is 63 a factor of 4178? False Does 89 divide 45659? False Is 972 a multiple of 12? True Is 10 a factor of 530? True Is 10575 a multiple of 75? True Is 3 a factor of 6336? True Is 27 a factor of 2324? False Is 6699 a multiple of 33? True Does 49 divide 235? False Does 5 divide 1640? True Does 31 divide 31? True Is 1008 a multiple of 24? True Is 32 a factor of 3776? True Is 494 a multiple of 13? True Is 84 a factor of 924? True Is 21 a factor of 378? True Is 2898 a multiple of 14? True Is 4566 a multiple of 98? False Does 8 divide 12416? True Is 4752 a multiple of 6? True Does 28 divide 9110? False Is 61151 a multiple of 16? False Does 116 divide 11253? False Is 56 a factor of 112? True Is 1477 a multiple of 20? False Is 2493 a multiple of 10? False Is 3 a factor of 1386? True Is 41 a factor of 86? False Does 10 divide 80? True Is 36 a factor of 136? False Is 532 a multiple of 14? True Is 2695 a multiple of 55? True Is 20 a factor of 1840? True Does 10 divide 2650? True Is 27 a factor of 93015? True Is 29 a factor of 22765? True Does 18 divide 774? True Is 12 a factor of 3036? True Does 48 divide 3840? True Does 8 divide 3955? False Is 97 a multiple of 3? False Does 68 divide 17068? True Is 105 a factor of 4045? False Is 1288 a multiple of 23? True Is 585 a multiple of 13? True Does 13 divide 120197? False Is 24 a factor of 3336? True Is 45440 a multiple of 142? True Is 2596 a multiple of 44? True Is 2911 a multiple of 41? True Does 11 divide 218? False Is 188 a factor of 8272? True Is 11216 a multiple of 60? False Is 13 a factor of 12194? True Is 2695 a multiple of 77? True Is 32 a factor of 14820? False Is 13963 a multiple of 39? False Is 29 a factor of 877? False Is 251 a multiple of 105? False Does 165 divide 16665? True Does 37 divide 32227? True Is 3959 a multiple of 6? False Is 9 a factor of 3024? True Is 22877 a multiple of 2? False Is 840 a multiple of 8? True Is 35536 a multiple of 164? False Is 22932 a multiple of 12? True Is 3 a factor of 877? False Does 7 divide 220? False Is 2088 a multiple of 12? True Is 19 a factor of 1603? False Is 4 a factor of 980? True Is 12606 a multiple of 33? True Is 25 a factor of 1800? True Is 62640 a multiple of 145? True Is 25 a factor of 6509? False Is 266 a multiple of 19? True Is 28 a factor of 8594? False Is 46 a factor of 369? False Is 47008 a multiple of 52? True Does 8 divide 1553? False Is 444 a multiple of 5? False Is 277 a multiple of 20? False Is 127 a factor of 4721? False Does 7 divide 266? True Is 9381 a multiple of 59? True Is 130 a factor of 9100? True Is 167 a multiple of 6? False Is 89 a factor of 44471? False Is 104 a factor of 5408? True Is 2044 a multiple of 4? True Is 684 a multiple of 57? True Is 10291 a multiple of 69? False Is 6623 a multiple of 37? True Is 2576 a multiple of 46? True Is 144 a factor of 18720? True Does 19 divide 44764? True Does 235 divide 96294? False Is 16 a factor of 288? True Does 10 divide 250? True Is 86286 a multiple of 45? False Is 28 a factor of 67? False Is 2436 a multiple of 87? True Is 15 a factor of 2805? True Is 30 a factor of 3990? True Is 4 a factor of 4804? True Is 1943 a multiple of 12? False Is 83 a factor of 1079? True Does 64 divide 14116? False Is 32 a factor of 2035? False Does 5 divide 38? False Is 826 a multiple of 14? True Does 50 divide 650? True Is 3150 a multiple of 14? True Is 1292 a multiple of 36? False Is 12 a factor of 17888? False Does 17 divide 5224? False Does 210 divide 58574? False Does 11 divide 449? False Does 10 divide 688? False Is 68 a factor of 2108? True Does 37 divide 108476? False Is 355 a multiple of 28? False Is 9 a factor of 2484? True Is 21 a factor of 462? True Is 382 a multiple of 25? False Is 4 a factor of 468? True Is 6 a factor of 3426? True Is 1677 a multiple of 73? False Is 15 a factor of 464? False Is 20992 a multiple of 32? True Is 42 a factor of 20496? True Does 11 divide 3179? True Does 7 divide 1708? True Does 103 divide 8773? False Is 261 a factor of 36443? False Is 140 a multiple of 28? True Is 1638 a multiple of 21? True Is 3870 a multiple of 18? True Is 4 a factor of 5640? True Does 3 divide 511? False Is 19 a factor of 3135? True Does 156 divide 5099? False Does 3 divide 268? False Does 46 divide 3720? False Does 68 divide 7684? True Does 53 divide 9957? False Is 61 a factor of 2806? True Is 1296 a multiple of 81? True Does 15 divide 11493? False Does 4 divide 2429? False Is 196 a multiple of 4? True Is 54579 a multiple of 11? False Is 90 a factor of 40770? True Is 3 a factor of 1096? False Is 6079 a multiple of 3? False Does 24 divide 23592? True Is 5 a factor of 22428? False Does 39 divide 3666? True Is 272 a multiple of 16? True Is 4300 a multiple of 20? True Is 78 a multiple of 13? True Is 195 a factor of 22576? False Does 6 divide 2336? False Is 72 a factor of 1646? False Is 1508 a multiple of 6? False Does 3 divide 1950? True Is 25992 a multiple of 12? True Is 7 a factor of 1399? False Is 513 a multiple of 57? True Is 403 a multiple of 31? True Is 3440 a multiple of 21? False Is 1737 a multiple of 9? True Does 16 divide 218? False Does 2 divide 2182? True Is 13 a factor of 2691? True Is 22 a factor of 31? False Does 20 divide 2060? True Is 14 a factor of 41902? True Is 4 a factor of 15976? True Is 246 a factor of 26568? True Is 21 a factor of 11386? False Is 15 a factor of 6555? True Does 45 divide 65612? False Is 1402 a multiple of 27? False Does 6 divide 34? False Does 11 divide 444? False Is 62 a factor of 41971? False Is 75 a factor of 36148? False Is 13776 a multiple of 56? True Does 15 divide 269? False Is 3078 a multiple of 54? True Is 11 a factor of 121? True Is 33 a factor of 396? True Does 36 divide 288? True Is 6 a factor of 31932? True Does 4 divide 1222? False Is 1886 a multiple of 12? False Is 22818 a multiple of 15? False Is 324 a factor of 42643? False Does 8 divide 40995? False Is 27 a factor of 621? True Is 10 a factor of 375? False Is 1656 a multiple of 72? True Does 58 divide 610? False Is 1912 even? True Is 1566 a multiple of 18? True Is 60 a multiple of 2? True Is 753 a multiple of 4? False Is 3 a factor of 11103? True Does 62 divide 15925? False Is 144 a multiple of 3? True Is 264 a multiple of 11? True Is 403 a multiple of 4? False Does 3 divide 1749? True Does 50 divide 350? True Does 12 divide 1872? True Is 6 a factor of 7314? True Is 9 a factor of 81? True Is 5 a factor of 33905? True Is 37 a factor of 923? False Is 136 a factor of 5848? True Does 17 divide 17680? True Is 102 a multiple of 3? True Is 35 a factor of 385? True Does 9 divide 4410? True Is 69 a factor of 5451? True Is 49 a factor of 292? False Is 1725 a multiple of 5? True Is 7 a factor of 33270? False Is 25 a factor of 825? True Is 21 even? False Is 2134 a multiple of 11? True Does 11 divide 19657? True Is 30 a factor of 1260? True Does 5 divide 4358? False Does 22 divide 3872? True Is 4100 a multiple of 9? False Does 59 divide 21387? False Is 96 a multiple of 12? True Is 200 a multiple of 40? True Is 31 a factor of 20807? False Does 4 divide 9669? False Is 260 a multiple of 13? True Is 112 a factor of 4928? True Is 3 a factor of 116? False Is 48316 a multiple of 188? True Is 12 a factor of 3384? True Does 11 divide 7788? True Is 217 a factor of 38063? False Is 21643 a multiple of 76? False Is 849 a multiple of 161? False Is 42 a factor of 344? False Is 56 a factor of 25278? False Is 170 a multiple of 10? True Is 42 a factor of 79129? False Is 344 a multiple of 6? False Is 9630 a multiple of 15? True Does 216 divide 3813? False Does 18 divide 558? True Is 225 a multiple of 15? True Does 235 divide 4942? False Is 21088 a multiple of 16? True Is 17025 a multiple of 57? Fal
{ "pile_set_name": "DM Mathematics" }
r. b, -1, u Let l = 0.34 + -0.3. Let z = 148.2 + -148.5. Sort z, l, 0 in increasing order. z, 0, l Let g = -2.93 - 0.07. Suppose k = -3*k + 4. Let m be (k/(-2))/((-2)/(-8)). Put g, m, 3/4 in ascending order. g, m, 3/4 Let u(g) = -12*g + 202. Let r be u(17). Put 0, r, -17, 1 in increasing order. -17, r, 0, 1 Let k = 109 - 104. Suppose -2*w = 5*u - 27, k = -6*w + w + 2*u. Put -10, 4, w in descending order. 4, w, -10 Suppose 12*k = 13*k + 40. Let n be k/(-50)*5/2. Sort -4, n, -3/8 in ascending order. -4, -3/8, n Let u = 197 + -793/4. Let x = 0.09 + -2.87. Let v = x + -0.22. Put v, -1, u in decreasing order. -1, u, v Let l be (1 + 1)/((-66)/75). Let g = -153/77 - l. Let f = -10/3 - -3. Sort f, g, 4. f, g, 4 Let o = -175 - -175. Sort 4, 5, o. o, 4, 5 Suppose -4*y + 116 = -0*y. Let p = y - 26. Sort 0, p, 4, -2. -2, 0, p, 4 Suppose 4*i = 4*p, 7*p = 3*p + 5*i. Let o(s) = 3*s**3 - s**2 + 2*s - 1. Let g be o(1). Suppose -3 = -0*q - g*q. Sort -4, p, q in ascending order. -4, p, q Let s = 35 - 30. Let i be (-6)/63*3/1. Let r = -5 - -4.6. Sort r, i, s in descending order. s, i, r Let t = 8 + -6. Let r = -5 - -1. Sort 2/3, r, t in descending order. t, 2/3, r Let x be (-14*(-6)/168)/(1/(-3)). Put x, 136, -4 in descending order. 136, x, -4 Suppose -52*b + 70 = -59*b. Put -2, -1, b in ascending order. b, -2, -1 Let j = -9 - -5. Let f = -1 - j. Let z be ((-480)/192)/((-10)/16). Put f, z, 6 in descending order. 6, z, f Suppose -3*v - 6 = -2*i, -5*v + 2*v + 5*i = -3. Let t be ((-1)/3)/((-6)/54). Suppose 0 = -5*o, 2*o = -t*w - 2 - 1. Sort v, w, -3 in decreasing order. w, -3, v Let i = 0.6 - 0.1. Let j be 12/15*(-5)/(-200). Let h = j + 191/450. Put i, -1/7, h in decreasing order. i, h, -1/7 Suppose 0*v - 3*v = 0. Let i be (-3)/(39/(-2)) - 162/39. Put v, i, 5 in increasing order. i, v, 5 Let m = -479 - -483. Sort 5, -0.03, m, -4 in increasing order. -4, -0.03, m, 5 Let p = 2/31 + -37/93. Let s = -88.49 + 89. Let y = s + -0.81. Sort p, y, 0 in ascending order. p, y, 0 Let z = 0.1 - -0.2. Let h be 1 + -3 - (-16)/10. Let o = 0.7 + 5.3. Put z, h, o in decreasing order. o, z, h Let a = 0.41 + -0.01. Let x = 8.618 + -0.018. Let d = -3.6 + x. Sort 2/3, d, a in decreasing order. d, 2/3, a Let a = 346.2 - 346. Sort 3, 10, a in ascending order. a, 3, 10 Suppose 0 = k + 2*g + 2, 0 = 5*k - g - g - 2. Suppose q + 17 = 6*f - f, 4*f - 5*q - 1 = 0. Put k, 2, f in ascending order. k, 2, f Suppose 19*a + 42 = 25*a. Suppose 3*v - 7*v - 3*i + 7 = 0, v - 7 = i. Put a, -3, v, 5 in increasing order. -3, v, 5, a Let h = 7.824 + -4.824. Let u = 0.8 + -0.3. Sort h, -3, u, -4 in ascending order. -4, -3, u, h Suppose -17*m = -19*m + 20. Let h(c) = -c**2 + 5*c + 6. Let n be h(6). Let p(a) = a**3 + a**2. Let d be p(-2). Put m, n, d in descending order. m, n, d Suppose -165 = -10*b + 21*b. Sort b, -1, 5 in increasing order. b, -1, 5 Let s = 1 + -6. Let z(d) = -d**3 - 12*d**2 + 12*d - 16. Let i be z(-13). Sort 0, i, s in decreasing order. 0, i, s Let b(h) = -h**2 + 4*h + 3. Let f be b(4). Suppose -f*m = 3 - 6. Suppose -3*i - 8 = 4*n - 0*i, i = 4*n + 24. Sort m, n, 2 in descending order. 2, m, n Let w = 6 + -13. Suppose -4*a = 0, 4*q = 9*q + a + 20. Sort -2, q, w in ascending order. w, q, -2 Let g(k) = k**2 + 24*k + 23. Let j be g(-23). Suppose -c + 27 = 6. Suppose -17 = -2*p - c. Sort p, 2, j in decreasing order. 2, j, p Let i(b) = 2*b**2 - 15*b + 10. Let u be i(7). Sort 6, 4, -3, u. -3, u, 4, 6 Suppose -12*f = -11*f - 2. Let a(z) = -z + 9. Let j be a(8). Suppose -4 = -3*k + 2*d, -d - 1 = j. Sort -2, f, k in ascending order. -2, k, f Suppose 0 = 84*d - 92*d + 16. Put d, -4, 7 in ascending order. -4, d, 7 Let i(d) = -12*d + 37. Let p be i(3). Sort -0.5, p, -1/5, 1/8. -0.5, -1/5, 1/8, p Let l be 808/(-48) - (2 - 22/12). Sort -0.5, l, 6. l, -0.5, 6 Let x be ((-2)/(-6))/((-543)/(-362)). Let v = 2 - 1. Put -16, x, v in ascending order. -16, x, v Let f be (53 + -54)/(2/10). Let n(i) = i**2 + 6*i + 8. Let q be n(-5). Sort q, f, 1. f, 1, q Let y = -5 + 4.8. Let q = -47 + 47.34. Let i = q - -0.66. Put y, i, -5 in descending order. i, y, -5 Let o(y) = 2*y**2 - 30*y - 3173. Let n be o(48). Let s = -51 + 30. Sort s, 1/3, n in decreasing order. 1/3, n, s Suppose -32 - 68 = -5*d. Suppose d = -4*w + 2*t, -2*w - 2*t = 8 + 2. Suppose -4*z + 2*n = 16, 17*n + 8 = -2*z + 14*n. Put 0, w, z in decreasing order. 0, z, w Let j(x) be the third derivative of x**4/8 - x**3/6 - x**2. Let l be (1 + -1 + -1)*-1. Let c be j(l). Sort c, -1, -3 in ascending order. -3, -1, c Let r(g) = g**2 - 2*g - 10. Let j be r(4). Sort -5, j, 308. -5, j, 308 Suppose -10 = 14*j - 16*j. Put j, 2, 31 in increasing order. 2, j, 31 Let b = -0.301 - 0.699. Sort 0.2, -9/4, b. -9/4, b, 0.2 Suppose 14 - 6 = 4*s. Suppose -5 = 4*j + j - 3*c, s*j = 4*c + 12. Suppose w - 1 = -6. Sort 4, j, w in descending order. 4, j, w Let f be ((-44)/(-42) - 1)*6. Let w = -5 - -1. Let h = -1 - -6. Sort w, f, h in decreasing order. h, f, w Suppose -21*s = -27*s - 672. Sort -4, 1, s in decreasing order. 1, -4, s Let c be -2*(-2 + (-2)/4). Let d be 9 - ((-1 - -10) + 339/(-565)). Put 4, -0.5, c, d in ascending order. -0.5, d, 4, c Let f = -66 + 71. Suppose -18 = -20*s + 26*s. Sort s, f, -4, 1 in decreasing order. f, 1, s, -4 Let n = 402 - 10048/25. Sort 2/51, 0, n, 0.4. 0, 2/51, n, 0.4 Suppose -l = 2*n + 5, -l - 5*n = -10*n - 2. Let m = 15 + -13. Suppose -m*p + 0*t = -2*t + 8, 0 = 5*p - 2*t + 5. Sort p, l, 2. l, p, 2 Let s = 86 - 32. Sort 1, s, 4/5 in ascending order. 4/5, 1, s Suppose -70 = 111*v - 97*v. Put -4, v, 35, 0 in descending order. 35, 0, -4, v Suppose -4*v = -3*v. Suppose 3*n + 4 = 7. Sort 30, n, -1, v in decreasing order. 30, n, v, -1 Suppose -2*b + 2*r + 6 = 2*b, b - 5*r = 15. Let j be (-6)/(-21)*(-7 + 0). Let m(v) = -v**3 - 3*v**2 - v. Let z be m(j). Put z, b, -3 in increasing order. -3, z, b Suppose -2*n + 0*n = 8. Suppose 5*q + 2*a = -28 + 10, -14*q - 2*a - 36 = 0. Sort 8, q, n, 4. n, q, 4, 8 Suppose -4*v + 20 = 0, 5 = h - 19*v + 21*v. Suppose 0 = 2*c - 3*c. Sort 1, h, c in ascending order. h, c, 1 Let m = -4955 + 4956.5. Let g = 0.4 - 0.2. Put -1/4, m, -0.4, g in descending order. m, g, -1/4, -0.4 Let p be (-6 - -5)*((3 - 6) + 0). Suppose d = c + 2, d + 5*c + 19 = -p. Sort -3, 0, d in decreasing order. 0, d, -3 Let y be (0 + 14/3)*(-51)/34. Put 2, y, -4, -6 in ascending order. y, -6, -4, 2 Let z = -6 - -10. Let l be (z/14)/((-1)/7). Sort 12, l, -1. l, -1, 12 Let d(x) = x**2 + 27*x + 188. Let s be d(-12). Put s, 1/2, 1/9 in increasing order. 1/9, 1/2, s Let z be 12*10/450*(-9)/6. Sort 0.4, 12, z in descending order. 12, 0.4, z Let r(d) = -d**2 + 4*d - 6. Let p be r(4). Let z(q) = 2*q + 10. Let w be z(p). Put -1, -16, w in descending order. -1, w, -16 Let o be 3 - 5 - 2/4*-7. Let t = 1998/5 + -400. Sort 0, t, 0.4, o in ascending order. t, 0, 0.4, o Let k be (4/(-6))/(2/(-6)). Suppose 38*d - 4 = 37*d, -16 = a - 5*d. Suppose a*w = -k*w. Put w, 1, 2 in ascending order. w, 1, 2 Let z = -3689/3 + 1230. Let w = 6 - 5.95. Put w, z, 3 in descending order. 3, z, w Let d(m) = m**3 - 5*m**2 - 4*m - 8. Let v be d(6). Suppose -17*n = -18*n - 4. Sort -1, n, v. n, -1, v Let o(z) = z**3 - 11*z**2 + z - 11. Let h be o(11). Let s be (h/(2 + 1))/(-2). Suppose -2*m + 1 = m + a, 15 = m + 4*a. Sort m, s, 1. m, s, 1 Suppose 39*u + 20 = 44*u. Let r be u*-1*4/(-32)*-2. Sort r, -4, 2, -3 in decreasing order. 2, r, -3, -4 Suppose 2*g + 8*g - 50 = 0. Put -3, -4, 2, g in descending order. g, 2, -3, -4 Let m(u) = -u**3 + 4*u**2 - 4*u + 3. Let s be m(2). Let i be (-12*(-16)/128)/((-3)/4). Sort i, -4, s in descending order. s, i, -4 Suppose -25 + 19 = 6*u. Let s be ((-1)/(-2)*u)/(340/(-408)). Sort 4, -1/3, 0.1, s in increasing order. -1/3, 0.1, s, 4 Let s = 8 - 0. Let i = -2 + -18. Let q be (i/15)/((-2)/3). Sort q, 3, s in descending order. s, 3, q Let w(k) = k**2 + k + 1. Let h be w(-1). Let v be (4 - h)*(-2)/(-3). Put v, 0, -6 in descending order. v, 0, -6 Let k be ((-20)/255)/((-164)/(-6)). Let a = k - 6263/3485. Sort a, 1/7, 0.3 in decreasing order. 0.3, 1/7, a Suppose -18 = -3*a - 12. Let i(v) be the first derivative of v**2/2 - 8*v - 2. Let u be i(7). Put 0, a, u in descending order. a, 0, u Suppose 4*n - 12 = -n + i, 2*n - 2 = -i. Suppose n*o + 0 + 4 = 0. Let k = 46 - 49. Sort k,
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 3, z: 5, e: 3}. 9/55 Three letters picked without replacement from tttttktkt. What is prob of picking 1 t and 2 k? 1/12 Two letters picked without replacement from gzzpaapzpzza. Give prob of picking 2 a. 1/22 Three letters picked without replacement from {j: 1, g: 1, w: 1, c: 2, q: 1, h: 1}. Give prob of picking 2 c and 1 g. 1/35 What is prob of picking 1 u and 2 w when three letters picked without replacement from {v: 3, l: 3, w: 2, e: 1, m: 4, u: 2}? 2/455 Two letters picked without replacement from {e: 5, w: 8, p: 7}. What is prob of picking 2 e? 1/19 Three letters picked without replacement from {l: 1, c: 1, d: 1, g: 1, m: 1}. What is prob of picking 1 g, 1 d, and 1 m? 1/10 What is prob of picking 1 j and 1 a when two letters picked without replacement from {j: 3, y: 4, l: 1, s: 1, a: 1, z: 5}? 1/35 What is prob of picking 1 o and 2 b when three letters picked without replacement from {m: 2, g: 4, z: 5, h: 4, b: 2, o: 2}? 2/969 What is prob of picking 3 w and 1 v when four letters picked without replacement from {w: 4, v: 14}? 14/765 Four letters picked without replacement from eomoeieeemmmeoeeeeme. Give prob of picking 2 m, 1 e, and 1 o. 22/323 Two letters picked without replacement from {p: 6, x: 2, d: 4}. Give prob of picking 1 p and 1 x. 2/11 What is prob of picking 2 r when two letters picked without replacement from {s: 1, r: 4, w: 1, c: 1, i: 1}? 3/14 Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qlqffqqqll. 1/6 Four letters picked without replacement from ccccqqqcylcccc. What is prob of picking 3 q and 1 l? 1/1001 Four letters picked without replacement from mvdvddddqqqqdd. What is prob of picking 1 m, 2 q, and 1 v? 12/1001 Two letters picked without replacement from ngcvvvvnd. Give prob of picking 1 n and 1 v. 2/9 What is prob of picking 1 s and 3 x when four letters picked without replacement from {a: 1, o: 1, j: 2, x: 4, s: 3}? 2/55 Calculate prob of picking 1 h, 1 i, and 1 p when three letters picked without replacement from hhhpiphhhhphihhhih. 9/68 What is prob of picking 1 y and 2 e when three letters picked without replacement from weeyeeweewewnewe? 9/140 Calculate prob of picking 3 h and 1 r when four letters picked without replacement from hhrhfrfhhhhhfhrhhh. 11/51 Four letters picked without replacement from kkaooooooaoo. What is prob of picking 2 a and 2 k? 1/495 What is prob of picking 2 b when two letters picked without replacement from {b: 2, l: 2, o: 1, c: 5, r: 5, a: 2}? 1/136 Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {g: 1, m: 1, u: 1, h: 1, a: 1}. 1/10 Three letters picked without replacement from bbbbqqqb. Give prob of picking 1 b and 2 q. 15/56 Three letters picked without replacement from nafnqfqnnnnf. Give prob of picking 2 n and 1 a. 3/44 Two letters picked without replacement from jpzdq. What is prob of picking 1 p and 1 j? 1/10 Four letters picked without replacement from qfcccff. Give prob of picking 2 f and 2 c. 9/35 Four letters picked without replacement from {m: 3, y: 3, n: 6, a: 6}. What is prob of picking 1 m and 3 y? 1/1020 Two letters picked without replacement from iicc. What is prob of picking 2 c? 1/6 Calculate prob of picking 3 e and 1 o when four letters picked without replacement from jejjeeojewj. 2/165 Calculate prob of picking 2 z when two letters picked without replacement from {h: 14, k: 1, z: 5}. 1/19 Four letters picked without replacement from {l: 4, o: 2}. What is prob of picking 2 o and 2 l? 2/5 Three letters picked without replacement from mbbzmhhohmzzbzzz. What is prob of picking 3 m? 1/560 What is prob of picking 1 x and 1 j when two letters picked without replacement from {u: 1, w: 3, r: 3, j: 1, x: 3}? 3/55 Calculate prob of picking 1 s, 2 r, and 1 e when four letters picked without replacement from resehrrerri. 1/11 Three letters picked without replacement from efsffseqsf. Give prob of picking 1 e and 2 f. 1/10 Two letters picked without replacement from {l: 2, q: 2, n: 4}. Give prob of picking 1 q and 1 n. 2/7 What is prob of picking 1 j and 1 p when two letters picked without replacement from jjjjjjypsxksjjjjjy? 11/153 Two letters picked without replacement from hivbbil. Give prob of picking 2 b. 1/21 Three letters picked without replacement from lmllmmm. What is prob of picking 3 l? 1/35 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, f: 1}. 1/3 Calculate prob of picking 1 t, 1 o, and 1 a when three letters picked without replacement from oaaatitaitaaaaaitata. 11/228 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {k: 1, x: 1, b: 2, s: 1, e: 1, a: 2}. 1/56 What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 5, f: 2, x: 3}? 1/3 What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 18}? 153/190 Calculate prob of picking 2 r when two letters picked without replacement from brrrrerrrrrreer. 11/21 Two letters picked without replacement from pvppvpaavpvp. What is prob of picking 2 p? 5/22 Two letters picked without replacement from dazzzzdaadqdddz. Give prob of picking 2 z. 2/21 What is prob of picking 2 i and 2 o when four letters picked without replacement from oimiiiuigugoui? 15/1001 Two letters picked without replacement from vyvvvvvvyyvvvv. Give prob of picking 2 y. 3/91 Calculate prob of picking 2 l and 2 v when four letters picked without replacement from lyvvly. 1/15 What is prob of picking 1 y and 1 o when two letters picked without replacement from yyoyoyy? 10/21 Four letters picked without replacement from {u: 4}. What is prob of picking 4 u? 1 Four letters picked without replacement from ccccccqcccccx. Give prob of picking 1 q, 1 x, and 2 c. 1/13 Calculate prob of picking 1 m and 3 i when four letters picked without replacement from {m: 9, i: 7}. 9/52 What is prob of picking 2 h when two letters picked without replacement from {z: 4, h: 7, f: 2}? 7/26 Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aammaammam. 5/12 Three letters picked without replacement from {a: 4, p: 14}. Give prob of picking 2 p and 1 a. 91/204 Two letters picked without replacement from vacvazvtazzzv. What is prob of picking 1 v and 1 a? 2/13 Two letters picked without replacement from jyayjyjzyyjaba. Give prob of picking 1 z and 1 a. 3/91 Two letters picked without replacement from {a: 1, j: 4, n: 9, p: 2}. What is prob of picking 1 p and 1 j? 1/15 Three letters picked without replacement from {h: 2, v: 3}. Give prob of picking 1 h and 2 v. 3/5 What is prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, v: 3, t: 4, j: 2, y: 2}? 1/33 Three letters picked without replacement from xnxxnznnznnjnnnnznnn. What is prob of picking 1 j and 2 x? 1/380 Three letters picked without replacement from {d: 17, e: 2}. What is prob of picking 2 d and 1 e? 16/57 Two letters picked without replacement from oywpb. What is prob of picking 1 b and 1 y? 1/10 What is prob of picking 2 t when two letters picked without replacement from otbobobbtoo? 1/55 Two letters picked without replacement from jvuuj. Give prob of picking 1 j and 1 u. 2/5 Three letters picked without replacement from xmmmmtxxmmvtx. Give prob of picking 1 t, 1 v, and 1 x. 4/143 Calculate prob of picking 3 v when three letters picked without replacement from ttttvtvtvttt. 1/220 What is prob of picking 1 s and 1 w when two letters picked without replacement from {a: 1, w: 1, s: 3, c: 2, e: 6}? 1/26 Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, e: 3}. 1/5 What is prob of picking 1 e and 2 s when three letters picked without replacement from {s: 5, e: 5, y: 3}? 25/143 Four letters picked without replacement from upoojoujuokkbookukbj. Give prob of picking 4 o. 1/323 Four letters picked without replacement from aaqkqcakqqaakkaam. What is prob of picking 1 m, 1 k, and 2 a? 3/85 Calculate prob of picking 1 z, 1 q, and 1 c when three letters picked without replacement from czzcqcz. 9/35 Calculate prob of picking 1 d and 1 t whe
{ "pile_set_name": "DM Mathematics" }
-4*w**2 + 4*w - 6. Let p(y) = y**2 + 1. Let a(d) = -l(d) - 5*p(d). What is a(-3)? 4 Let q be -9 - (7 + -5 + (-2 - -5)). Let f(k) = k**3 + 14*k**2 + k + 16. Determine f(q). 2 Let q(f) be the third derivative of -f**5/12 + f**4/24 - f**3/6 + f**2 - 103. Determine q(1). -5 Let l(x) = 3*x + 47 - x**2 + 40 - 82. Let o(d) = -d. Let z be o(-4). What is l(z)? 1 Let o(m) = -m - 7. Suppose -3*s + 1 = 19. Determine o(s). -1 Let x(r) = -3*r**3 + 7*r**2 + 7*r - 4. Let q(u) = u**3 - u**2 + 4. Let b(g) = -2*q(g) - x(g). Let s be 6 - (-2 - -1) - 1. Determine b(s). -10 Let s(p) be the first derivative of p**3/3 + 5*p**2/2 - 3*p + 438. Give s(-5). -3 Suppose 4*u - 7*u = -12. Let r(a) = -3*a + u*a - a + a + 6. Calculate r(-6). 0 Let c(l) = 3*l**3 - 5*l**3 - 2 + 0*l + l**3 - 3*l + 8*l**2. Let a(f) = -f**2 + f - 1. Let u(m) = -2*a(m) - c(m). What is u(6)? 10 Let b(y) be the third derivative of 0 + 0*y + 1/4*y**4 + 5*y**2 + 1/60*y**5 + 7/6*y**3. Suppose -6*v = 26 + 10. What is b(v)? 7 Suppose 699*s - 7 = 692*s. Let v(g) = -4*g**2 - g + 1. Determine v(s). -4 Suppose 0 = o - 5, c - 20 = -0*c - 2*o. Suppose -c = x - 3*x. Let i(a) = 79*a**2 + 78*a**2 - 156*a**2 - 3*a - 3. Give i(x). 7 Let k(q) be the first derivative of 2*q**3/3 - 3*q**2/2 + 2*q + 1. Let t = -529 + 532. What is k(t)? 11 Let r(q) = 4*q - 3. Let s be (-8)/2*32/8. Let f = 20 + s. Let z be f/(-3 + (-10)/(-2)). Give r(z). 5 Let l be 3/(-9) - 39/(-9). Suppose -f = -l, -2*f + 32 = -3*h + 2*h. Let b = -30 - h. Let z(i) = -i**2 - 6*i - 6. Calculate z(b). -6 Let q(j) = -j**3 + 9*j**2 + j - 5. Let t = -30 + 44. Suppose -25 = 5*l, 19 + t = 2*m - 3*l. What is q(m)? 4 Suppose -2*l - 4 = 4*z + 18, 5*z - l + 10 = 0. Let u be (-3)/(z/(-1))*5. Let t(a) = a - 4 + 3*a**2 + 4*a - 2*a**2. Determine t(u). -4 Let z(l) be the first derivative of -9*l**4/4 + l**3/3 + l**2/2 + l - 121. What is z(-1)? 10 Let t(d) = -10 - 3*d - 37*d - 3*d + 38*d. What is t(-2)? 0 Let h(j) = -j - 5. Suppose 0 = 2*v + 5*t + 13, v - 4*t = -32 + 6. Let g(b) = 4*b + 16. Let c(d) = v*h(d) - 4*g(d). Calculate c(5). -4 Let m(q) = -7*q**2 + 73*q + 43. Let l be m(11). Let k(z) = -7*z**2 - z - 1. Determine k(l). -7 Let j(r) be the second derivative of -2*r**3/3 + 2*r**2 - 421*r. Let t(g) = 2*g**2 - g. Let y be t(-1). Determine j(y). -8 Let n(a) = -a**3 + 4*a**2 - 2*a + 4*a**3 - 1 - 4*a**3. Suppose 89 + 4 = 3*h. Let o = 34 - h. Determine n(o). 2 Let p(m) be the second derivative of m**5/20 + m**4 - 5*m**3/2 - 19*m**2/2 - 2*m + 57. Determine p(-13). 7 Let y be 1/(12/(-88)*8/(-12)). Suppose -2*x - p = -5*x - y, 0 = -4*x - p - 24. Let t(i) = -2*i - 2. What is t(x)? 8 Suppose 3*q - n = q - 1, -3*q - 5 = 2*n. Let h(v) = -12*v**2 - v. What is h(q)? -11 Let u(i) = 5*i**3 - 13*i**2 + 9*i + 8. Let x(m) = -9*m**3 + 25*m**2 - 18*m - 15. Let k(t) = -11*u(t) - 6*x(t). Give k(-8). -6 Suppose 2*f = 4*f - 30. Let j(u) = -f*u**2 - 163*u - 5 + 162*u + 4. Determine j(-1). -15 Let d(p) = -2*p**3 + p**2 - 8*p. Let f be d(0). Let l(n) = -n**3 - n**2 - n - 1. Calculate l(f). -1 Let l be 468/(-65) + 2/(0 + 10). Let f(j) be the third derivative of -j**3 + 0*j + 0 - 1/24*j**4 + 2*j**2. Give f(l). 1 Let t(c) = 5*c + 38. Suppose 2*g + 5 - 23 = 2*w, 5*w - 4*g = -44. Let h(r) = 2*r + 13. Let k(o) = w*h(o) + 3*t(o). What is k(0)? 10 Suppose 9*l = 232 + 110. Suppose 11*i = l + 39. Let o(a) = a**2 - 7*a + 2. What is o(i)? 2 Let t(r) = -r**2 + 12*r - 9. Suppose -2*f + 25 = 5*h - 26, 23 = 3*h + 5*f. Determine t(h). 2 Let b = 172 - 170. Let l(w) = -w + 4. Give l(b). 2 Suppose -y - 3 = 0, -6*i - 3*y = -2*i + 1. Suppose i*o = -9 - 1. Let x(s) be the third derivative of s**4/24 - s**3/2 + 9*s**2. What is x(o)? -8 Suppose -6*x + x - i + 27 = 0, -3*i = -3*x + 9. Suppose 2*r - 20 = 3*y, 5*y + x*r - r = -4. Let w(s) = s**3 + 3*s**2 - 2*s + 2. Give w(y). -6 Suppose 16*g - 18 = -210. Let l(n) = -2*n - 49 + 0*n**3 + 33 + n**3 + 12*n**2. Determine l(g). 8 Let j(i) be the third derivative of -i**5/60 + i**4/12 + 2*i**3/3 - 8*i**2. Let m(a) = a + 1. Let u(d) = j(d) - 4*m(d). Give u(-3). -3 Let k(z) be the first derivative of -2*z**2 - 2*z - 25. Let m(x) = 5*x + 2. Let s(n) = -6*k(n) - 5*m(n). Calculate s(2). 0 Let v(u) = -u**3 + 8*u**2 - u + 11. Let g be v(8). Suppose 0 = -l + g. Let n be 1/2*(l - 1). Let d(b) = b**2 - 3*b + 1. Calculate d(n). -1 Let t(q) = 2*q**2 - 43*q - 11. Let x(b) = b**2 - 20*b - 5. Let k(i) = -3*t(i) + 7*x(i). Determine k(12). 10 Let m = 1691/10 + -169. Let p(u) be the third derivative of 1/6*u**3 + 0*u - 5*u**2 - 1/120*u**6 + 0 + 1/24*u**4 - m*u**5. Give p(-6). -5 Let w(q) = -q**2 + 7*q + 2. Let l(p) = -6*p + 98. Let t be l(15). Calculate w(t). -6 Let a(u) = u**3 + 3*u**2 - 6*u - 8. Suppose 3*p - 3*g + 6 = -g, -g = 2*p + 11. What is a(p)? 0 Let x(i) = -3 - 1 - 3*i - i**2 + 10 - i. Let d = 20 - 37. Let q = d - -11. Determine x(q). -6 Suppose -3*c - 38 = -4*q, 0*c + 22 = 2*q - 3*c. Suppose -q = -2*i, 5*i + 0*i - 14 = 2*t. Let o(u) = 3*u. Calculate o(t). 9 Let q(t) = 2*t**2 + 3. Let a(h) = 3*h**2 - h + 7. Let m(w) = 3*a(w) - 5*q(w). Let x be (-6)/24 + (-7)/4. Let z = -4 + x. Give m(z). -12 Let x be 3 + (7 - 2) - 15. Let l(i) = i**2 + 7*i - 6. Determine l(x). -6 Let o(r) be the second derivative of r**4/12 + 4*r**3/3 + 7*r**2/2 - 100*r - 2. What is o(-7)? 0 Let w(l) = 3*l - 3 + 184*l**2 - 2*l + l**3 - 182*l**2 + l. Give w(2). 17 Let m(g) be the second derivative of -g**5/20 - g**4/4 + g**3/6 - g**2/2 - 975*g. Let j be (-2 - -1*5)*-1. Determine m(j). -4 Let h(f) = f. Suppose 8*w = 7*w + 3. Let u be 6*((-1)/(-1) - w). Let g = -14 - u. Calculate h(g). -2 Let v(m) = -23*m - 11. Suppose 3*q - 2 + 20 = -z, 3*q - 4*z = -18. Let c(x) = 6*x + 3. Let n(f) = q*v(f) - 22*c(f). Give n(-1). -6 Let l be 34/9 - -1 - (-10)/45. Let t(a) = 5*a**3 + 5*a**2 - a - 14. Let u(g) = 2*g**3 + 3*g**2 - g - 7. Let r(p) = -3*t(p) + 7*u(p). Determine r(l). -2 Let w(u) = 2 + 1 + 4 - 6 - 2*u. Let y = -6 + 13. Give w(y). -13 Let z be (19/15 - (-278)/(-417))*1*10. Let g = 5 + -9. Let k(c) = -3*c - 8. Let f(p) = -8*p - 23. Let y(i) = g*f(i) + 11*k(i). What is y(z)? -2 Let i be 20/(-15)*(-36)/(-16). Let d(t) = t**3 - 2*t**2 - 8*t - 1. Let u(o) = 3*o**3 - 5*o**2 - 23*o - 3. Let c(n) = -11*d(n) + 4*u(n). Give c(i). 2 Suppose -8*q - 404 = -6*q. Let n = q + 196. Let l(t) = -6 - t**3 + 0*t**3 - 3*t - 6*t**2 + 2. What is l(n)? 14 Let a(i) = -8*i**3 + 7*i**2 + 6*i + 4. Let s(l) = l**3 - 2*l**2 - l - 1. Let o(h) = -a(h) - 2*s(h). What is o(-1)? -7 Let h be (2 - 0)*(-3)/1. Let i(n) = -6 - n + 2*n + 7 + 7 + 3. Calculate i(h). 5 Suppose 7*d = 5*d + 8. Suppose 5*i - b = 15, -2*i - 4*b - d = 12. Let m(w) = 3*w - 3. Give m(i). 3 Let b(h) = -h**2 - 4*h - 2. Let o(m) = -5*m**2 + 5*m + 2. Let d be o(3). Let c be (-1*d/8)/((-2)/4). Calculate b(c). -23 Let m(s) be the first derivative of -s**2/2 - 4*s + 1. Suppose 11*v + 8 = 13*v. Suppose -3*f + 5 = -t, -t + f = v*f + 5. Give m(t). 1 Let r(b) be the first derivative of b**2/2 + 5*b + 1. Suppose 52*d + 50*d = 93*d - 45. Determine r(d). 0 Let u(d) = d**3 + d**2 - 13*d - 5. Suppose -7 = -2*n + 1, -2*j = -n. Let k(a) = 3*a + 1. Let h(o) = j*u(o) + 9*k(o). What is h(-2)? -11 Let t(h) = h**3 - 6*h**2 + 2*h + 5. Let x(b) = 12*b**2 - 145*b + 18. Let m be x(12). Determine t(m). 17 Let r(g) = g**3 + g**2 - g + 1. Let s(a) = a**2 - 11*a + 11. Let z be s(10). Let j be r(z). Let b(f) = f**3 - f**2 - 2. Give b(j). 2 Let i(q) = 3*q**2 - 2*q - 1. Suppose 0 = t - 5*z + 20, t - 2*z = -10 + 5. Suppose -t*k - 1 - 9 = 0. Give i(k). 15 Suppose 0 = 4*m - 20, 0*o - 4*o = 4*m - 32. Let n(s) = s**3 - 1 - o*s**3 + 0*s**3 + 2*s**2. Suppose 16*w - 4859 = -4843. Calculate n(w). -1 Let z be (-11 - -7) + (1 - -4). Let s = z - 2. Let r(v) = -10*v. Give r(s). 10 Let r(l) be the third derivative of 1/30*l**5 + 8*l**2 + 0 - 1/24*l**4 + 0*l**3 + 13/120*l**6 + 0*l. Let d be (-1 - (2 + -5)) + -1. Determine r(d). 14 Let y(r) be the first derivative of 3/2*r**2 + 4*r + 8. Calculate y(-3). -5 Let b = 55 + -61. Let m(f) = -f**3 - 3*f**2 + 16*f - 2. Let x be m(b). Let g(q) = q**2 - 11*q + 13. Give g(x). 3 Let m(p) be the third derivative of p**4/12 - 7*p**3/6 - 20*p**2. Let w(u) = 2*u - 6. Let j(o) = 5*m(o) - 6*w(o). Determine j(-7). 15 Let u(y) = y**2 - 28*y + 27*y - 8 + 1. Let b = 8 - 3. Let g be (-2)/5 - (-2)/b. Determine u(g)
{ "pile_set_name": "DM Mathematics" }
tes are there between 9:09 AM and 5:03 PM? 474 How many minutes are there between 6:55 PM and 9:34 PM? 159 What is 609 minutes after 12:21 PM? 10:30 PM How many minutes are there between 4:19 AM and 2:55 PM? 636 How many minutes are there between 7:57 AM and 12:34 PM? 277 How many minutes are there between 11:26 AM and 10:58 PM? 692 How many minutes are there between 2:33 AM and 8:39 AM? 366 How many minutes are there between 6:09 AM and 7:40 AM? 91 What is 71 minutes before 8:48 PM? 7:37 PM How many minutes are there between 7:56 AM and 9:38 AM? 102 How many minutes are there between 6:23 PM and 9:13 PM? 170 What is 424 minutes after 7:51 PM? 2:55 AM What is 167 minutes before 3:53 AM? 1:06 AM How many minutes are there between 4:30 AM and 6:46 AM? 136 How many minutes are there between 4:04 AM and 4:03 PM? 719 How many minutes are there between 4:20 PM and 11:10 PM? 410 How many minutes are there between 3:41 PM and 7:38 PM? 237 How many minutes are there between 10:01 AM and 4:07 PM? 366 What is 298 minutes before 8:09 AM? 3:11 AM How many minutes are there between 6:40 PM and 1:50 AM? 430 How many minutes are there between 5:11 AM and 7:17 AM? 126 How many minutes are there between 8:29 AM and 1:52 PM? 323 What is 315 minutes before 7:33 AM? 2:18 AM How many minutes are there between 8:38 PM and 8:52 PM? 14 What is 496 minutes after 4:51 PM? 1:07 AM How many minutes are there between 6:38 PM and 4:43 AM? 605 How many minutes are there between 3:19 PM and 5:35 PM? 136 What is 266 minutes before 10:22 PM? 5:56 PM How many minutes are there between 12:41 PM and 9:05 PM? 504 How many minutes are there between 4:42 AM and 5:45 AM? 63 How many minutes are there between 12:05 AM and 8:29 AM? 504 How many minutes are there between 3:40 PM and 6:31 PM? 171 What is 704 minutes after 9:06 PM? 8:50 AM What is 323 minutes before 11:29 PM? 6:06 PM What is 103 minutes after 1:18 AM? 3:01 AM How many minutes are there between 3:04 PM and 5:51 PM? 167 How many minutes are there between 7:24 AM and 7:49 AM? 25 How many minutes are there between 4:52 AM and 6:21 AM? 89 How many minutes are there between 6:22 PM and 2:59 AM? 517 How many minutes are there between 1:07 AM and 9:30 AM? 503 How many minutes are there between 4:20 AM and 12:44 PM? 504 What is 625 minutes after 9:54 PM? 8:19 AM How many minutes are there between 12:21 AM and 9:59 AM? 578 What is 664 minutes before 1:23 PM? 2:19 AM How many minutes are there between 1:30 AM and 3:27 AM? 117 How many minutes are there between 10:08 AM and 1:51 PM? 223 What is 578 minutes before 6:15 PM? 8:37 AM What is 160 minutes after 2:11 PM? 4:51 PM What is 203 minutes after 12:15 AM? 3:38 AM What is 473 minutes after 7:13 PM? 3:06 AM What is 238 minutes after 10:05 PM? 2:03 AM How many minutes are there between 5:06 PM and 7:13 PM? 127 What is 503 minutes before 6:42 AM? 10:19 PM What is 661 minutes after 5:39 PM? 4:40 AM How many minutes are there between 12:38 AM and 9:47 AM? 549 How many minutes are there between 4:03 PM and 11:31 PM? 448 What is 714 minutes after 1:59 PM? 1:53 AM How many minutes are there between 4:15 AM and 4:29 AM? 14 What is 296 minutes before 10:33 AM? 5:37 AM How many minutes are there between 9:52 PM and 8:10 AM? 618 How many minutes are there between 3:20 AM and 3:22 AM? 2 How many minutes are there between 10:02 AM and 1:07 PM? 185 How many minutes are there between 8:04 PM and 12:47 AM? 283 What is 303 minutes before 5:07 PM? 12:04 PM What is 69 minutes before 11:35 PM? 10:26 PM How many minutes are there between 7:39 AM and 4:06 PM? 507 What is 2 minutes after 11:28 PM? 11:30 PM How many minutes are there between 5:29 PM and 2:49 AM? 560 How many minutes are there between 4:35 AM and 5:23 AM? 48 How many minutes are there between 2:56 PM and 3:37 PM? 41 How many minutes are there between 9:29 AM and 2:51 PM? 322 How many minutes are there between 2:04 PM and 4:12 PM? 128 What is 612 minutes before 4:29 PM? 6:17 AM How many minutes are there between 6:49 PM and 3:13 AM? 504 How many minutes are there between 2:04 AM and 4:37 AM? 153 What is 101 minutes before 8:21 AM? 6:40 AM What is 264 minutes before 3:20 AM? 10:56 PM How many minutes are there between 6:44 AM and 9:34 AM? 170 How many minutes are there between 12:11 PM and 9:35 PM? 564 What is 405 minutes after 1:05 PM? 7:50 PM How many minutes are there between 10:49 PM and 4:12 AM? 323 How many minutes are there between 5:49 PM and 5:19 AM? 690 How many minutes are there between 9:18 PM and 8:23 AM? 665 What is 155 minutes after 6:04 PM? 8:39 PM How many minutes are there between 11:40 PM and 5:33 AM? 353 How many minutes are there between 4:09 AM and 5:53 AM? 104 What is 181 minutes before 1:04 PM? 10:03 AM How many minutes are there between 2:17 AM and 7:03 AM? 286 What is 665 minutes before 11:21 AM? 12:16 AM How many minutes are there between 3:05 AM and 9:51 AM? 406 How many minutes are there between 7:17 AM and 8:39 AM? 82 What is 117 minutes after 2:12 AM? 4:09 AM What is 104 minutes before 8:04 PM? 6:20 PM What is 581 minutes after 7:05 PM? 4:46 AM How many minutes are there between 8:52 AM and 10:34 AM? 102 How many minutes are there between 1:13 PM and 7:51 PM? 398 How many minutes are there between 6:46 PM and 6:17 AM? 691 How many minutes are there between 8:21 PM and 7:07 AM? 646 How many minutes are there between 11:22 AM and 6:48 PM? 446 What is 520 minutes before 4:04 AM? 7:24 PM How many minutes are there between 4:39 PM and 12:07 AM? 448 How many minutes are there between 2:44 AM and 2:27 PM? 703 How many minutes are there between 12:29 PM and 12:08 AM? 699 How many minutes are there between 9:13 AM and 10:49 AM? 96 How many minutes are there between 2:12 PM and 2:24 PM? 12 What is 148 minutes after 7:33 PM? 10:01 PM How many minutes are there between 7:29 PM and 9:20 PM? 111 What is 525 minutes after 8:26 PM? 5:11 AM How many minutes are there between 12:52 AM and 6:52 AM? 360 How many minutes are there between 9:27 AM and 2:06 PM? 279 How many minutes are there between 3:37 PM and 3:31 AM? 714 What is 155 minutes before 7:17 PM? 4:42 PM How many minutes are there between 3:16 PM and 10:52 PM? 456 What is 50 minutes after 4:30 AM? 5:20 AM What is 599 minutes after 10:58 PM? 8:57 AM What is 14 minutes after 10:36 PM? 10:50 PM What is 289 minutes after 5:40 PM? 10:29 PM What is 676 minutes before 12:02 AM? 12:46 PM How many minutes are there between 4:52 AM and 6:33 AM? 101 What is 530 minutes before 2:29 AM? 5:39 PM How many minutes are there between 9:37 PM and 3:04 AM? 327 How many minutes are there between 9:14 PM and 10:30 PM? 76 How many minutes are there between 9:36 PM and 12:12 AM? 156 What is 160 minutes before 8:20 AM? 5:40 AM How many minutes are there between 11:32 AM and 9:28 PM? 596 What is 423 minutes after 6:07 AM? 1:10 PM How many minutes are there between 2:29 PM and 11:42 PM? 553 How many minutes are there between 8:18 PM and 4:43 AM? 505 How many minutes are there between 10:39 PM and 7:51 AM? 552 How many minutes are there between 7:51 AM and 5:46 PM? 595 What is 325 minutes before 10:48 AM? 5:23 AM How many minutes are there between 10:12 AM and 3:25 PM? 313 What is 616 minutes after 1:49 PM? 12:05 AM What is 620 minutes before 1:25 PM? 3:05 AM What is 526 minutes before 9:37 AM? 12:51 AM What is 38 minutes before 1:29 AM? 12:51 AM What is 274 minutes after 12:05 PM? 4:39 PM How many minutes are there between 12:51 AM and 10:09 AM? 558 What is 243 minutes after 9:37 PM? 1:40 AM What is 121 minutes after 3:17 AM? 5:18 AM How many minutes are there between 7:36 PM and 10:41 PM? 185 What is 700 minutes before 2:40 PM? 3:00 AM What is 54 minutes before 2:02 AM? 1:08 AM What is 689 minutes after 9:08 PM? 8:37 AM What is 355 minutes after 1:57 AM? 7:52 AM How many minutes are there between 5:48 AM and 8:34 AM? 166 What is 628 minutes before 12:59 AM? 2:31 PM What is 317 minutes before 4:00 PM? 10:43 AM How many minutes are there between 5:33 AM and 1:09 PM? 456 How many minutes are there between 8:31 PM and 12:55 AM? 264 How many minutes are there between 5:28 AM and 1:01 PM? 453 How many minutes are there between 10:52 AM and 9:31 PM? 639 What is 588 minutes before 9:59 PM? 12:11 PM How
{ "pile_set_name": "DM Mathematics" }
+ m, -4*h + v = 5*z. What is the highest common divisor of 34 and z? 17 Let m = -1601 - -2505. What is the greatest common factor of 24 and m? 8 Let t = 517 + -500. Suppose -672 = 3*c - t*c. Calculate the highest common divisor of c and 10. 2 Let z = 5 - -1. Suppose -7*r = -z*r - 517. Let s = r + -165. What is the greatest common divisor of s and 32? 32 Let d = -37 - -141. Let k be (d/(-65))/((12/10)/(-3)). Let a(f) = -2*f**2 + 8*f + 4. Let l be a(k). Calculate the greatest common divisor of 28 and l. 4 Suppose -7*f - 2446 = 221. Let r = f - -383. What is the highest common divisor of 38 and r? 2 Let l = -4438 - -20374. What is the greatest common divisor of l and 192? 192 Suppose -731951 - 281243 = -91*n. Calculate the highest common factor of n and 38. 38 Suppose -4*t + 8 = -40. Suppose -t*r + 1168 = 4*r. What is the highest common divisor of 146 and r? 73 Let a = 2650 + 2270. Calculate the greatest common factor of a and 41. 41 Suppose 3*s + s - 236 = 0. Let d(v) = 56*v - 1500. Let m be d(31). Calculate the highest common divisor of m and s. 59 Let h = 63 - 29. Suppose -42*q = -2129 - 3583. What is the greatest common divisor of h and q? 34 Suppose 2328 = -31*j + 20990. Let b = j + -592. What is the greatest common divisor of b and 80? 10 Suppose -20*l + 24*l = 16. Suppose 8*s - 3*s + 5*o = -15, l*s - 3*o = 23. Suppose s*c + 9*c = 1023. What is the highest common divisor of c and 31? 31 Let a = -23 - 2. Let h = -19 - a. Let n be (-756)/(-49) - h/14. What is the highest common divisor of 25 and n? 5 Suppose -4*t - 2*z + 402 = 0, 5*t + 28*z = 23*z + 505. What is the highest common factor of t and 5150? 50 Suppose 2329 = 66*b - 70*b - 3*o, 2*o = 5*b + 2917. Let a = b + 601. What is the greatest common factor of a and 192? 6 Let a be (-688)/1*(4 - 187/34). What is the greatest common divisor of 172 and a? 172 Let c = -39159 + 39231. Let d = -15 - -123. What is the greatest common divisor of c and d? 36 Suppose 98*j = -283*j + 29337. Let b(a) = 10*a**2 - a - 1. Let r be b(-1). Let s = -3 + r. What is the highest common factor of j and s? 7 Let c be (-7 - (-10 + 5) - -19) + 5. Calculate the greatest common factor of c and 121. 11 Suppose -447*f + 57850 = -358*f. What is the greatest common divisor of f and 52? 26 Suppose 3*p = 5*q - 246, -4*p = -p + 6. Suppose -180 = -q*i + 33*i. What is the greatest common divisor of 192 and i? 12 Suppose -2*l + 7*l + 145 = d, -4*d = 4*l - 556. Suppose 9*t = 4*t + 5*h + d, 4*t - h - 124 = 0. What is the greatest common divisor of 16 and t? 16 Let p be ((3/2)/(-1))/(45/(-30)). Suppose -w - p = 3. Let z be 102/w*(2/(-3) + -2). What is the highest common divisor of 34 and z? 34 Let b be 3/(12/(-656)*-1). Suppose 5*q - b + 34 = 0. Let j be 4908/27 - 2/(-9). What is the greatest common divisor of j and q? 26 Suppose 5 = -q, 4*q - 536 = -c + 2*q. What is the highest common divisor of c and 84? 42 Suppose -5*z + 5*o + 445 = 0, 179 = 2*z - 0*o - 3*o. Suppose -3*p = 3*j - 3, -16*p + 13*p - 29 = -j. What is the greatest common factor of j and z? 8 Let j be (4 - 1)*((-1)/3)/(26/(-1222)). Calculate the highest common factor of 3149 and j. 47 Let a = -7341 - -7907. What is the highest common divisor of a and 2? 2 Let i be 61502/92 - (28/8 + -2 + 0). What is the highest common factor of i and 29? 29 Suppose 4*g = -4, 2*g - g + 91 = 2*z. Let h = z - 35. Suppose 0*q = 4*q - 320. What is the greatest common divisor of q and h? 10 Suppose -x = -0*x + 4*b - 122, 2*x + 5*b - 238 = 0. Let o be (-10 - -11)*(1 + x). What is the greatest common factor of o and 184? 23 Let g(h) = -62*h**2 + 746*h + 3. Let r be g(12). What is the highest common divisor of r and 10800? 27 Suppose 0 = -4*m - 5*r + 1296, 5*r = r. Suppose -35*n + 233 + 245 = -362. What is the highest common factor of n and m? 12 Suppose 19 = 2*w + 1. Suppose w*m - 1352 = m. Suppose 0 = -9*h + 10*h - 13. Calculate the greatest common divisor of m and h. 13 Suppose -21*a - 307 = -2554. What is the greatest common factor of 9202 and a? 107 Suppose -5*w + 5*r + 129 = -w, 3*w = 2*r + 102. Suppose -46*o + 50*o = w. What is the highest common factor of 207 and o? 9 Let c(y) = y**2 + 14*y + 45. Let r be c(-24). What is the greatest common factor of 105 and r? 15 Suppose 0 = 5*k - 61 - 59. Suppose 2*c = -3*r + 3, -c - 2 + 14 = 5*r. What is the highest common factor of r and k? 3 Suppose -6*w = 4*w - 23250. Suppose 0 = -11*n + 6*n + w. Calculate the greatest common factor of n and 15. 15 Suppose 270*o + 945 = 255*o. Let s(l) = 13*l + 5. Let q be s(6). Let v = o + q. Calculate the highest common divisor of 30 and v. 10 Suppose 85*p = 1535 + 46915. What is the greatest common divisor of 912 and p? 114 Let n = -15446 + 15454. What is the highest common divisor of 6856 and n? 8 Let j(x) = 14*x - 62. Let s be j(4). Let v(w) = 37*w + 303. Let r be v(s). Calculate the highest common factor of r and 378. 27 Suppose -5*w - 3*d + 56 = 0, 23 + 19 = 3*w - d. Let r(i) = 7 + 14*i - i**2 + 7 - 5. Let x be r(w). What is the highest common divisor of 242 and x? 22 Suppose 0 = -2*u + 14*q - 11*q + 321, 3*u - 509 = -q. Calculate the greatest common divisor of 108 and u. 12 Let s(v) = -v**2 + 6. Let i be s(0). Suppose d + 150 = i*d. Let b = d - 23. What is the greatest common factor of b and 56? 7 Let v(h) = 19*h + 31. Let b be v(11). Suppose 2*x - b = 6*x. Let y be (-12 + 11)*1/2*x. Calculate the highest common factor of y and 10. 10 Let g = 105 - -15. Let b be (-18)/(-1 - (805/g)/(-7)). Calculate the greatest common factor of 16 and b. 16 Let u = -130 + 132. Suppose -5*w - 3*x = u, x + 6 = 2. What is the greatest common factor of w and 5? 1 Let h(d) = 172*d**2 + 8*d - 12. Let g be h(3). Suppose 0 = -v + 6*v, v = 4*f - g. Suppose 11*j = j + f. Calculate the greatest common divisor of 13 and j. 13 Let v be 0 + 21/3 + (-32)/8. Let h be ((-699)/(-9) + v)*27/6. What is the greatest common divisor of 33 and h? 33 Let n(s) = s**3 - 5*s**2 + 5*s - 3. Let f be n(5). Let v = 25 - f. Suppose -v*d - d = -104. What is the highest common factor of 130 and d? 26 Let f = 5087 + -5062. Suppose 0 = 2*w + w - 600. Calculate the greatest common divisor of w and f. 25 Let t(n) be the first derivative of 2*n**3/3 - 9*n**2/2 + 11*n + 13. Let k be t(5). What is the greatest common factor of k and 16? 16 Let f be (2665*5/((-1125)/36))/((-5)/75). What is the greatest common divisor of f and 312? 156 Suppose -4*d = 5*m - 21, -5*m = -d - 4*d - 30. Let l be (1 + 13)/(((-11)/11)/d). Calculate the greatest common factor of l and 2. 2 Let u be (141 - 9) + (-5)/(-5)*-3. Calculate the highest common factor of 645 and u. 129 Suppose -480 = 596*y - 598*y. What is the highest common factor of 560 and y? 80 Let p be 11/(-165)*-10 + 3 + (-422)/(-6). What is the highest common divisor of p and 24938? 74 Suppose -5*l - 18*w + 16*w + 214 = 0, 2*l + w = 85. Calculate the greatest common divisor of 4334 and l. 22 Suppose 0*l = 2*b + 3*l + 19, 10 = -5*b + 5*l. Let k be ((-1)/b*-8)/((-76)/570). Suppose -102 = -2*j + 18. What is the greatest common divisor of j and k? 12 Let t = -233 - -37. Let f = t + 300. Suppose -f = -5*u + u. What is the highest common factor of u and 65? 13 Let n(y) = 15*y - 1. Suppose 0*p + 9*p + 9 = 0. Let h be n(p). Let a = 27 + h. What is the highest common divisor of a and 143? 11 Let k = 261 - 227. Suppose x - 4*n - 80 = 0, x - 2*n - 36 = k. Calculate the highest common divisor of x and 80. 20 Let f = -60 + 63. Suppose 114 = 9*h - f*h. Let r be (11/44)/(1 - h/20). Calculate the greatest common divisor of 25 and r. 5 Let w = -2049 + 2826. Let d(r) = r**2 + 11*r - 21. Let q be d(-14). What is the highest common divisor of q and w? 21 Let n(t) = 3*t + 2. Let w be n(6). Suppose -44*v = -43*v - 7. Suppose -v*h + 18*h = 880. Calculate the greatest common factor of h and w. 20 Suppose 15*t + 18 + 27 = 0. Let y be (-6)/t - (2 + 3). Let b be y + (-30)/(-5) - -4. Calculate the highest common divisor of b and 28. 7 Let m(g) = -28*g + 0*g**2 - 20296 + 20386 - g**2. Let h be m(-29). What is the greatest common factor of 1037 and h? 61 Let m = -273 - -113. Let b be (m/(-48))/((-2)/(-3)). What is the greatest common divisor of b and 10? 5 Let q = 1187 - 1155. What is the greatest common factor of 2416 and q? 16 Let z(v) = 4*v**2
{ "pile_set_name": "DM Mathematics" }
0.173. Round h to 1 dp. 2.5 Let w = -31.984 - 0.016. Let k = w - -31.62. Let n = k + 0.45. What is n rounded to two dps? 0.07 Let c = 209.1 - 195. Let p = -14.10543 + c. What is p rounded to four decimal places? -0.0054 Let o = -3830 + 3470.6. Let b = o + 406. What is b rounded to 0 decimal places? 47 Let i = -33570.939884 + 33571. Round i to 3 decimal places. 0.06 Let i be -4 - (-2 + -10874988 - 4). Suppose 3*h + i = -4*h. Let u = h - -960570. What is u rounded to the nearest 100000? -600000 Let k(f) = -f**2 + 18*f - 32. Let u be k(10). Suppose -t = -3*w + 9370012, t + 51*w + 9369988 = u*w. What is t rounded to the nearest one hundred thousand? -9400000 Suppose 36 = -137*m + 146*m. Suppose 2*y - 3*h = -529 - 15, m*y + 3*h = -1124. What is y rounded to the nearest ten? -280 Let i = 3157.7 + -3143.019. What is i rounded to 0 decimal places? 15 Let s = -374.998943 - -375. What is s rounded to 4 decimal places? 0.0011 Let h(c) = -125305*c**2 - 122*c + 799. Let q be h(7). Round q to the nearest 100000. -6100000 Suppose 8995452 - 2161874 = 3*g + 4*d, -d - 2 = 0. Let h = g + 108391. Let o = h + -1316253. What is o rounded to the nearest 100000? 1100000 Let v = -96.07 - -96.0699991948. Round v to 7 decimal places. -0.0000008 Let r = -10.829507 - -10.83. What is r rounded to 5 dps? 0.00049 Let i = 26.717 - -0.383. Let n = 27.0862 - i. Round n to 3 dps. -0.014 Let u = 164 + 60. Let t = u + -210.9. Let a = t + -13.10000126. Round a to 7 dps. -0.0000013 Let r = 298663.00104 - 298642. Let s = -0.46 + 21.46. Let x = r - s. What is x rounded to four dps? 0.001 Let g be (6/(-7))/((-3)/(-21)). Let i(c) = -50 - 42 + 103 - 59 + 259992*c. Let a be i(g). Round a to the nearest 100000. -1600000 Let x = -57 + 109. Let w = x - -29. Let n = w - 114.2. What is n rounded to the nearest integer? -33 Let q = -527 + 235. Let g = 291.9999065 + q. What is g rounded to six decimal places? -0.000094 Let s = -1.15 - 235.85. Let d = 184304.12 - 184541.12131. Let x = s - d. What is x rounded to four dps? 0.0013 Let j = 1116285 + -1116284.497591. Let y = 0.502 - j. Round y to 4 decimal places. -0.0004 Let q = 12 + -9. Suppose 8*m - q - 5 = 0. Let g be (-493 + -9)/(1 + m). What is g rounded to the nearest 10? -250 Let a be (-72)/3*(-102)/24. Let f be (2108/a)/((-1)/(-102)). Round f to the nearest one hundred. 2100 Let s(v) = -199108*v + 5508. Let t be s(11). What is t rounded to the nearest ten thousand? -2180000 Let y = 0.329824 - 0.3268. Round y to four decimal places. 0.003 Let o(l) = 4*l**3 - 3*l**2 + 8*l - 21. Let h be o(2). Suppose h*y + 174780000 = -3*y. Round y to the nearest one million. -10000000 Let y = -187192015 + 187187099.97411. Let z = -4915 - y. What is z rounded to 3 decimal places? 0.026 Let k = 2371.84 + -2848.6. Let c = k + 491. Let m = c - 14.3207. Round m to 2 decimal places. -0.08 Let u = 19439383 - 12733830. Suppose -3*k - u = -2*k. Let i = -4535553 - k. Round i to the nearest 100000. 2200000 Let n = 517.4 - 515.843. What is n rounded to zero decimal places? 2 Let t = 729 - 729. Suppose 4*k - 488443 - 2271557 = t. What is k rounded to the nearest 1000000? 1000000 Let b = -0.0036101 + -164.0668899. Let x = 164 + b. Let w = 0.06 + x. What is w rounded to 3 decimal places? -0.011 Let l = -8740.99983066 - -8741. What is l rounded to 5 dps? 0.00017 Let j = -4.33 + 23.23. Let n = j - 18.8897. Round n to three decimal places. 0.01 Let q(p) = -p**3 - 8*p**2 - 4*p + 16. Let d be q(-7). Let s(m) = m**2 - 3*m - 4. Let l be s(d). Suppose l*j - 8850000 = 31*j. Round j to the nearest 100000. 1800000 Let x(n) = -4*n**2 + 14*n - 26. Let p be x(-10). Let k = p + 1600. What is k rounded to the nearest ten? 1030 Let b = -6 + 10.45. Let t = b + -0.45. Let g = -3.999785 + t. What is g rounded to 5 decimal places? 0.00022 Let u(n) = 830*n**3 - 9*n**2 - 12*n + 37. Let h be u(-7). What is h rounded to the nearest ten thousand? -290000 Let o(q) be the third derivative of 62381*q**4/24 - 19*q**3/3 + 104*q**2. Let t be o(-2). What is t rounded to the nearest 10000? -120000 Let f = -156.39994775 - -156.4. Round f to six dps. 0.000052 Let i be (-251 - -1)/(2/(-70)). Suppose -4*g = -l + 249 - 216, -l = -3*g - 28. Suppose l*n = 20*n + i. Round n to the nearest 100. -1300 Suppose 0 = -3*l - l + 80. Let d be 4/12 + l/(-6). Let c be 3 + 1200000 + 9/d. What is c rounded to the nearest 1000000? 1000000 Let x = 2114 - 4287. Let d = -2173.001031 - x. What is d rounded to 5 dps? -0.00103 Let x = -154.072 - -0.072. Let u = 224 + x. Let o = -69.99962 + u. What is o rounded to three dps? 0 Let v(p) = -627*p - 169 + 61 + 84. Let i be v(-12). Let z be (5 - -111)*7/(14/i). What is z rounded to the nearest 100000? 400000 Let i = -22263.553 + 22269. What is i rounded to one dp? 5.4 Let s = -35.2 + -315.8. Let m = s - -351.0877. Round m to three decimal places. 0.088 Let r = -395.0167 - -0.0167. Let d = r + 317.2. Let h = 77.800419 + d. What is h rounded to 4 decimal places? 0.0004 Let i = 5204 - 8585. Round i to the nearest one thousand. -3000 Let d = -12370 - -12370.05167. Let q = d - 0.00773. Let i = 0.044 - q. What is i rounded to 5 decimal places? 0.00006 Let v = -72048.9 - -67892. Round v to the nearest ten. -4160 Suppose 123*t - 250*t + 19824000 = -123*t. What is t rounded to the nearest 100000? 5000000 Let i = 206447 - 606144. Let t = i - -399697.510227. Let b = t + -0.51. Round b to four decimal places. 0.0002 Let g(n) = -191*n**3 - 142*n**2 + 16*n - 26. Let f be g(6). Round f to the nearest 100. -46300 Let u = 112 - 170. Let n = 155 + u. Let w = n - 97.000153. What is w rounded to five dps? -0.00015 Let j be (-5)/(20/1324612)*(0 - 2). Let a = 94694 + j. What is a rounded to the nearest 10000? 760000 Let b = -757.0038 - -0.0038. Let u = 756.99996844 + b. Round u to five dps. -0.00003 Let n = 7564.995786 - 7565. What is n rounded to 3 dps? -0.004 Suppose -47*u = -51*u + 16. Suppose 2*z - 567 = -u*j - 195, j = 3. Let y be (z/25)/((-10)/(-375)). What is y rounded to the nearest one hundred? 300 Let j = 969.6 + -754.36. What is j rounded to zero decimal places? 215 Let n = -415365.8004 - -814061.8541. Let s = -398520 + n. Let g = 176 - s. Round g to 3 decimal places. -0.054 Let n be -600*(-49)/((-147)/2500). What is n rounded to the nearest one hundred thousand? -500000 Let k = -68 + 27. Let c = 2180590 - 2180631.00076. Let d = k - c. What is d rounded to 4 decimal places? 0.0008 Let x = 2793365520.999471 + -2793366754. Let o = x + 1233. What is o rounded to 5 decimal places? -0.00053 Let c = -27457.1475 - -27505. Let l = -47.8 + c. Round l to 3 dps. 0.053 Let k = 1129 + 175. Let g = k - 1203.9. Round g to the nearest 10. 100 Let m = 1.05 + -1.12. Let i = 16.07 + m. Let f = 15.335 - i. Round f to 1 dp. -0.7 Let p = -33 + 80. Let c = 5130359.999987 + -5130407. Let z = p + c. What is z rounded to five decimal places? -0.00001 Let h = 33 - 40. Let m be (2/h)/(1 + 48/(-42)). Suppose -m*v = v + 3, -4*q + 4*v = 247996. What is q rounded to the nearest ten thousand? -60000 Let r = 3.346 - -21.61. Let b = r + -25. Let l = b + 0.0304. What is l rounded to three decimal places? -0.014 Let z = -0.146185 - -0.2697. What is z rounded to 2 decimal places? 0.12 Let g = -10 + 10. Let m be 54/30 + -2 - (-64)/20. Suppose 2*y + g*y + 238010 = 5*c, -c + 357002 = -m*y. What is y rounded to the nearest ten thousand? -120000 Suppose 28*l - 34*l + 30 = 0. Let w = l + 5. What is w rounded to the nearest integer? 10 Let c(l) = -1437497*l**2 + 9*l - 12. Let h be 8/10 + -1 + 729/45. Suppose -21*r + h*r = 20. Let v be c(r). Round v to the nearest 1000000. -23000000 Let a = 8251.482 - 8336.4. Let n = -0.082 + a. Let t = 84.9921 + n. What is t rounded to 3 decimal places? -0.008 Let m = -99.07 - -2.07. Let k = m + 111.7. Let g = 14.6999801 - k. Round g to six dps. -0.00002 Let t = 4614.0000006178 - 4614. What is t rounded to 7 dps? 0.0000006 Let y(f) = -36*f**3 - 30*f**2 + 30*f - 20. Let t(j) = -j**2 + j - 2. Let i(n) = -3*t(n) + y(n). Let w be i(11). What is w rounded to the nearest ten thousand? -50000 Let n = -7087.74665 + 7088. Round n to 2 dps. 0.25 Let s(y) = -18512*y + 20 + 5 + 35 + 12. Let v be s(6). What is v rounded to the nearest ten thousand? -110000 Suppose 0 = 10*x - 143785677 - 197074323. Round x to the neare
{ "pile_set_name": "DM Mathematics" }
PM and 3:15 PM? 33 How many minutes are there between 2:34 PM and 4:51 PM? 137 How many minutes are there between 9:53 PM and 9:12 AM? 679 What is 139 minutes after 2:25 AM? 4:44 AM How many minutes are there between 5:19 PM and 3:30 AM? 611 What is 165 minutes after 4:54 AM? 7:39 AM How many minutes are there between 9:10 PM and 1:16 AM? 246 What is 36 minutes before 11:48 AM? 11:12 AM What is 663 minutes before 9:15 AM? 10:12 PM How many minutes are there between 3:26 PM and 4:04 PM? 38 How many minutes are there between 3:31 AM and 11:24 AM? 473 What is 128 minutes after 4:34 AM? 6:42 AM What is 693 minutes after 3:25 AM? 2:58 PM How many minutes are there between 2:03 PM and 3:19 PM? 76 How many minutes are there between 7:40 PM and 10:27 PM? 167 How many minutes are there between 3:53 PM and 11:18 PM? 445 What is 581 minutes after 12:10 PM? 9:51 PM How many minutes are there between 11:29 PM and 10:57 AM? 688 How many minutes are there between 12:54 PM and 7:01 PM? 367 What is 410 minutes after 2:30 AM? 9:20 AM How many minutes are there between 12:06 AM and 9:04 AM? 538 How many minutes are there between 9:31 PM and 9:02 AM? 691 How many minutes are there between 7:54 PM and 9:55 PM? 121 What is 309 minutes before 6:01 AM? 12:52 AM What is 264 minutes after 7:17 AM? 11:41 AM What is 445 minutes after 6:01 AM? 1:26 PM How many minutes are there between 11:36 AM and 3:33 PM? 237 How many minutes are there between 1:23 PM and 3:18 PM? 115 What is 69 minutes before 1:02 PM? 11:53 AM What is 584 minutes before 10:04 PM? 12:20 PM How many minutes are there between 4:37 AM and 2:18 PM? 581 How many minutes are there between 6:40 PM and 8:17 PM? 97 How many minutes are there between 1:45 PM and 7:30 PM? 345 What is 103 minutes after 11:33 PM? 1:16 AM What is 165 minutes before 1:52 AM? 11:07 PM How many minutes are there between 3:35 AM and 6:41 AM? 186 How many minutes are there between 11:52 AM and 7:44 PM? 472 How many minutes are there between 11:50 AM and 6:40 PM? 410 How many minutes are there between 6:20 AM and 11:57 AM? 337 How many minutes are there between 4:48 AM and 2:53 PM? 605 How many minutes are there between 5:50 AM and 8:02 AM? 132 How many minutes are there between 7:50 PM and 12:55 AM? 305 What is 98 minutes before 1:12 PM? 11:34 AM How many minutes are there between 10:52 PM and 3:16 AM? 264 What is 454 minutes before 12:19 PM? 4:45 AM What is 667 minutes after 2:10 PM? 1:17 AM What is 570 minutes after 7:43 AM? 5:13 PM How many minutes are there between 4:22 PM and 7:27 PM? 185 How many minutes are there between 8:45 AM and 9:24 AM? 39 How many minutes are there between 12:19 AM and 6:53 AM? 394 How many minutes are there between 11:03 AM and 4:06 PM? 303 What is 41 minutes before 2:36 AM? 1:55 AM How many minutes are there between 5:18 AM and 5:06 PM? 708 What is 715 minutes before 12:48 AM? 12:53 PM How many minutes are there between 5:58 PM and 5:48 AM? 710 How many minutes are there between 9:30 PM and 11:21 PM? 111 What is 254 minutes after 12:43 PM? 4:57 PM How many minutes are there between 12:03 PM and 1:19 PM? 76 How many minutes are there between 10:57 PM and 1:16 AM? 139 How many minutes are there between 7:33 AM and 11:16 AM? 223 What is 82 minutes before 10:15 PM? 8:53 PM How many minutes are there between 1:16 AM and 2:54 AM? 98 What is 27 minutes after 6:17 PM? 6:44 PM What is 703 minutes after 7:09 PM? 6:52 AM What is 141 minutes before 10:03 AM? 7:42 AM What is 456 minutes before 4:31 AM? 8:55 PM How many minutes are there between 12:44 PM and 12:50 PM? 6 How many minutes are there between 9:59 AM and 1:50 PM? 231 How many minutes are there between 8:46 AM and 1:41 PM? 295 How many minutes are there between 7:35 AM and 5:52 PM? 617 What is 624 minutes before 8:55 PM? 10:31 AM What is 372 minutes before 10:45 PM? 4:33 PM How many minutes are there between 6:10 AM and 1:43 PM? 453 How many minutes are there between 4:25 PM and 5:15 PM? 50 What is 359 minutes after 10:37 AM? 4:36 PM How many minutes are there between 8:28 PM and 11:00 PM? 152 What is 19 minutes before 6:30 PM? 6:11 PM What is 584 minutes before 11:52 PM? 2:08 PM How many minutes are there between 5:37 AM and 3:32 PM? 595 How many minutes are there between 1:23 AM and 12:44 PM? 681 How many minutes are there between 7:01 PM and 7:07 PM? 6 How many minutes are there between 11:44 AM and 3:40 PM? 236 How many minutes are there between 5:37 AM and 5:24 PM? 707 How many minutes are there between 4:35 PM and 9:38 PM? 303 What is 639 minutes before 3:25 AM? 4:46 PM How many minutes are there between 6:52 PM and 11:45 PM? 293 What is 385 minutes before 4:54 AM? 10:29 PM How many minutes are there between 2:09 PM and 4:06 PM? 117 How many minutes are there between 1:44 AM and 8:15 AM? 391 How many minutes are there between 9:21 AM and 11:02 AM? 101 How many minutes are there between 1:41 PM and 8:31 PM? 410 How many minutes are there between 7:23 PM and 5:34 AM? 611 What is 27 minutes after 2:46 PM? 3:13 PM What is 376 minutes before 6:41 PM? 12:25 PM How many minutes are there between 8:10 AM and 8:58 AM? 48 How many minutes are there between 7:46 PM and 8:00 PM? 14 What is 700 minutes after 4:05 PM? 3:45 AM What is 553 minutes after 8:29 AM? 5:42 PM What is 327 minutes before 3:17 PM? 9:50 AM How many minutes are there between 5:58 AM and 5:27 PM? 689 What is 586 minutes before 3:26 PM? 5:40 AM What is 40 minutes after 7:05 AM? 7:45 AM How many minutes are there between 6:35 AM and 11:57 AM? 322 What is 153 minutes before 4:59 AM? 2:26 AM What is 166 minutes before 12:37 AM? 9:51 PM How many minutes are there between 9:10 PM and 11:35 PM? 145 What is 428 minutes after 8:13 AM? 3:21 PM How many minutes are there between 5:46 AM and 4:58 PM? 672 What is 439 minutes after 1:02 AM? 8:21 AM What is 406 minutes before 10:39 PM? 3:53 PM What is 568 minutes before 1:12 PM? 3:44 AM How many minutes are there between 9:51 AM and 5:34 PM? 463 What is 503 minutes after 8:03 AM? 4:26 PM How many minutes are there between 12:06 PM and 5:29 PM? 323 What is 4 minutes after 11:00 PM? 11:04 PM How many minutes are there between 7:38 AM and 3:24 PM? 466 What is 448 minutes before 8:29 PM? 1:01 PM How many minutes are there between 2:46 AM and 11:38 AM? 532 What is 155 minutes before 3:53 PM? 1:18 PM How many minutes are there between 7:25 PM and 12:46 AM? 321 What is 387 minutes after 5:36 PM? 12:03 AM What is 597 minutes after 8:35 AM? 6:32 PM How many minutes are there between 9:14 PM and 8:09 AM? 655 What is 63 minutes after 2:16 PM? 3:19 PM How many minutes are there between 2:13 PM and 8:06 PM? 353 How many minutes are there between 7:12 PM and 11:55 PM? 283 How many minutes are there between 7:07 AM and 12:05 PM? 298 What is 688 minutes before 12:22 PM? 12:54 AM How many minutes are there between 9:37 PM and 8:29 AM? 652 What is 270 minutes after 7:09 AM? 11:39 AM How many minutes are there between 12:14 AM and 4:10 AM? 236 How many minutes are there between 8:18 AM and 2:44 PM? 386 What is 42 minutes before 4:26 AM? 3:44 AM What is 298 minutes before 7:20 PM? 2:22 PM What is 254 minutes before 4:29 AM? 12:15 AM How many minutes are there between 12:49 PM and 3:10 PM? 141 How many minutes are there between 12:49 PM and 2:44 PM? 115 How many minutes are there between 7:36 PM and 5:09 AM? 573 What is 223 minutes after 5:14 PM? 8:57 PM What is 303 minutes after 7:43 PM? 12:46 AM What is 159 minutes after 3:15 PM? 5:54 PM How many minutes are there between 1:23 AM and 6:23 AM? 300 How many minutes are there between 12:07 PM and 6:18 PM? 371 How many minutes are there between 1:34 AM and 8:19 AM? 405 What is 665 minutes after 4:53 PM? 3:58 AM How many minutes are there between 11:08 PM and 7:16 AM? 488 What is 165 minutes before 7:58 PM? 5:13 PM How many minutes are there between 5:58 AM and 5:48 PM? 710 How many minutes are there between 6:58 AM and 7:39 AM? 41 What is 159 minutes after 1:15 PM? 3:54 PM How many minutes are there between 2:10 PM and 3:53 PM? 103 How many minutes are there between 4:05 AM and 1:11 PM? 546 How many minutes are there between 7:45 AM and 11:57 AM? 252 What is 445 minutes after 12:26 AM? 7:51 AM How many minutes are there between 8:
{ "pile_set_name": "DM Mathematics" }
44 - -1312. Let b = c + 0.244. Let d = -1 + 0. What is the closest to d in 0.4, b, -0.03? -0.03 Let f = 8.687 - 6.687. What is the nearest to -1 in 0.3, f, 56/5, -5? 0.3 Let c = 62 + -68. Let s be c/8*(152/24 + -7). What is the closest to 1/3 in -1, s, 3/4? s Let q be 4*(-12)/(-16)*-1. Let r(z) = -2*z - 3. Let i be r(q). Which is the nearest to 2/3? (a) i (b) -8 (c) -1 c Let x = 0.0344 - -0.9656. Which is the nearest to x? (a) 148.9 (b) -3/4 (c) -1/5 c Let q = -527 - -28988/55. Let x = -5/11 + q. Let f = -76.5 + 77. Which is the closest to x? (a) f (b) 4 (c) -3 a Let y = 2199.2 + -2199. Let u = -7 + 8. What is the closest to u in -0.2, y, 3/2? 3/2 Let b = 1349.7 + -1349.4. What is the nearest to -31 in 2/5, b, -1/2, 26? -1/2 Let k = -36 + 254/7. Let d be 348/2233 + (1 + 0)*(-6)/14. What is the closest to -1/3 in k, 2, d? d Let j = -964 - -964. Let r = -26 + 25. Which is the closest to j? (a) -0.1 (b) -2 (c) r a Let b = -14 - -9. Let u = -7.355 + 0.035. Let n = u - -3.32. What is the closest to -0.2 in b, -2/5, n? -2/5 Suppose g + 30 = -3*b + 10, 5*g = b - 52. Let f be 29*(-12)/16 - -22. What is the nearest to 1 in g, f, 3? f Suppose -3*i = -i - 10, 0 = -u - 5*i + 33. Suppose -3*v - 21 + 2 = 4*h, 0 = -v - 3*h - u. Let s be 5 + 0/v + -1. What is the nearest to 1 in s, -1/7, 5? -1/7 Let f be ((-120)/(-45))/((-40)/90). What is the closest to -25 in -0.1, 3, f? f Suppose -3*m + m + 6 = 0, -3*v - 6 = -m. Which is the nearest to 48? (a) v (b) 2 (c) 1/7 b Let s = 4.09 - -125.11. Let k = s + -129. Let x = -44/195 + 1/39. What is the nearest to -2/13 in x, 3, k? x Let w = -17.2 + 19. Let y = -2 + w. Let t be (-4)/(-12) + 2 - 3. Which is the closest to y? (a) -0.5 (b) 2 (c) t a Let k = -304.5 - 49.5. Let d = k + 351. Which is the closest to d? (a) 2 (b) -2 (c) 0 b Let y be 8/(-20) - (-3 - (-4704)/(-10)). Suppose 472*s = y*s - 2. What is the closest to -0.1 in -0.5, 0.4, s? -0.5 Let z be ((-25)/(-100))/((18/8)/3). Let h = 4.1 + -4.5. Which is the nearest to h? (a) -3 (b) 2 (c) z c Let p = -413.1 + 412.8. What is the nearest to 1 in -0.1, -124, p? -0.1 Let n = 615 - 585.3. Let m = -31 + n. Let d = m + 1.4. Which is the closest to -15? (a) -0.4 (b) d (c) -4 c Let d = 0.074 - -53.926. Let m be ((-4)/5)/(29 - 23). What is the nearest to d in -4, 0.1, m? 0.1 Suppose 0 = 5*i + 5*k + 1060, i - 5*i = 5*k + 853. Let v = i + 202. Which is the nearest to -0.1? (a) v (b) 2/11 (c) 7 b Let o = 15049 - 60197/4. Which is the closest to -0.04? (a) -17 (b) 2 (c) o (d) -4/7 c Suppose 0 = -7*c + 4*c + 3*s - 21, -2*s + 20 = -5*c. Let l be 76/(-156) + c/(-6). What is the closest to 1 in -40, -1/5, l? l Let q = 116 + -117. Let g be ((-50)/(-300))/(q/10). Let a = 1 + 1. What is the closest to 0.1 in a, g, 3? g Let v = 0.515 + -0.215. Let k = 4.895 - -0.105. Which is the nearest to 2/3? (a) k (b) v (c) 0 b Let s = 0.229 + 164.771. Let o = 165 - s. Which is the closest to 0.07? (a) o (b) 3 (c) 1 a Suppose w = 29 - 23, 3*x + 3 = 3*w. Which is the nearest to 18? (a) -5 (b) -9 (c) x c Let v be (-1)/18 - (78/36)/(-13). Let s = 5 + -5.2. What is the nearest to v in s, -3, 5/2? s Let f = 84973/4 - 21244. Suppose 7 = 4*j - 21. Which is the closest to j? (a) -0.1 (b) -0.3 (c) f a Suppose 3*w + w - 12 = 0. Let t = 349.39 - 349.4. Which is the nearest to -2? (a) 4 (b) t (c) w b Suppose 65*y + 68*y = 129*y - 12. Which is the closest to -0.03? (a) 5 (b) y (c) -0.4 (d) 3 c Let r = 217 + -265. Let u be (-84)/(-14) + r/9. Which is the closest to u? (a) 0.3 (b) -5 (c) 4 a Suppose -1117 + 80 = -61*v. What is the nearest to v in -0.4, -2, -39, 0.5? 0.5 Let v = -25.2 + 12.5. Let w = v - -13. Suppose 2*u + 4*y = 26, -u - 5*y = u - 31. Which is the nearest to -0.1? (a) -0.1 (b) u (c) w a Let w be (-430)/70 + 80/70. Which is the nearest to 38? (a) 20 (b) w (c) 5 a Let u = -3 - -2. Let i = 914 - 913.002. Let r = i - -0.002. What is the nearest to u in 0.5, r, -1? -1 Let a = 16775 - 16780. What is the closest to -1 in -2/15, a, 0, 6? -2/15 Let f = 20219 + -20219. Which is the nearest to f? (a) -3/2 (b) 11 (c) 3.9 (d) -5 a Let f = 3.8 + 0.2. Suppose 21*q - 15*q - 96 = 0. Suppose 2*z + 5*w - 2*w = -q, z = 4*w - 8. Which is the nearest to z? (a) 1 (b) -5 (c) f b Let m(d) = 7*d + 127. Let z be m(-18). Let r = -9 - -9.22. Let p = 0.12 - r. Which is the nearest to p? (a) -1 (b) z (c) 0.1 c Let o be (-3)/1 + 1 + 0. Let f = -16467.1 - -16467.2. What is the closest to 0 in -5, f, o? f Let q = -1.9 + 0.9. Let r = 6 + q. Let a be 2/(-90) + 16/72. What is the nearest to 2/7 in a, -0.3, r? a Let v = -227 + 907/4. Let h = 686 - 683. What is the closest to h in v, -0.4, 9? v Suppose -3*n = -q + 16, 0 = 7*q - 3*q - 4*n - 16. What is the closest to 3 in -3, q, -4/33, -4? -4/33 Let k = 213.7 - 214.7. Let n = 0.79 - 3.79. Let q = 2.04 + -0.04. What is the nearest to k in -2/3, n, q? -2/3 Let d = 2 + -2. Let i = -34/11 + 80/33. Let m = 3.05 - 2.75. What is the closest to d in -1/5, m, i? -1/5 Let t = 155 + -64. Let c = t - 91.22. Let f = 14.2 + -14. What is the nearest to 1 in -5, c, f? f Suppose 0 - 2 = -2027*u + 2026*u. Suppose -5*l = 4 + 1, l = r - 1. Which is the closest to r? (a) u (b) -0.5 (c) -10 b Let m = 4.5 - -0.5. Let p = -4.54 + -0.46. Let d = p + m. Which is the nearest to -0.2? (a) 0.3 (b) d (c) 2 b Let x(t) = 13 - 3*t + 12 + 2. Let h be x(8). Let m = 7 - 6.5. What is the nearest to 0.01 in 2, m, h? m Let k = 16207/28 + -4414/7. Let q = 704 - 652. Let m = q + k. Which is the closest to m? (a) 5/4 (b) -5 (c) 0.5 c Let n(w) = 2*w**2 - w - 3. Let l be n(2). Let j = -49 - -142.5. Let h = j + -93. What is the nearest to l in h, 1, 0.02? 1 Let n = -11 + 79. Let y = -1580 + 1511.9. Let p = y + n. What is the nearest to 0.16 in 0.5, p, 3? p Let h = 5 - 5.4. Let l = -950.988 - -953. Let c = l + -0.012. What is the nearest to -1 in c, h, -3? h Suppose 4*s - 181 = -5*z + 646, 0 = -s + 5*z + 238. What is the nearest to s in -0.4, 6/7, 5/2? 5/2 Let z = 216.256 - 216. Let c = z - 1.256. What is the nearest to 0 in c, 18/13, -2? c Suppose 818*q - 819*q = c - 1, 5*c - 19 = 2*q. Let z = -1.42 - 0.08. What is the nearest to q in -1/3, z, -1? z Let t = -16106 - -48320/3. Which is the nearest to -16? (a) t (b) 0 (c) 2 b Let y = 345 - 1003. Let i = -658 - y. Let j = 10.05 + -0.05. Which is the nearest to i? (a) 0.5 (b) 4 (c) j a Let f = 139 - 69. Let p be -2*3/10 - (-82)/f. Let u = -0.1 - -0.3. Which is the nearest to u? (a) 2 (b) p (c) 1/3 c Let k = 0.168 - 1.168. Let t be 0/(-1 - -2) + -1. What is the closest to k in -2/21, t, 2? t Let j = -0.1863 - 19.8217. Let d = j + 0.008. Let k = -20.2 - d. Which is the nearest to 0.02? (a) -2 (b) k (c) 3 b Let o be (-7 + (-847)/(-84))*8/30. Let y = -2/9 + o. Let c = 10 + -6. What is the nearest to 1/10 in c, y, 0.1? 0.1 Let k = 19406.7 + -19407. What is the nearest to 1 in -655, 2/11, k, 2? 2/11 Let t = -726/173 - -4183/1038. Let w = -0.1 - -0.3. What is the closest to -1/13 in -1/5, w, t? t Let p(m) = -8*m**2 - 352*m - 1. Let s be p(-44). Which is the nearest to -1/4? (a) 11 (b) 2/7 (c) s (d) 3 b Let v = -288.5 - -289. Let p = 1.2 + -1.32. Let b = p + 3.12. What is the nearest to 1 in b, v, 2? v Let v = -20163 - -20162.983. What is the nearest to 1/8 in 3/5, -0.4, v? v Let q = 0.28242 + -0.08242. Let y = 5 - 3. Let j = -0.3 - -0.3. What is the closest to j in -3, q, y? q Let x = 4234 - 4233.6. Let v = 4.1 + -4. What is the closest to v in 1/2, x, -0.5? x Let u = -2.9 - 1.1. Let f = -564442 + 3951091/7. Let x = -4 - -3. What is the closest to f in u, 2, x? x Let a = -2.63 + 0.13. Let t = 2 + a. Let x = 2.40702 - 2.00702. What is the nearest to t in -0.3, x, 5? -0.3 Let h = 1231 - 1231.1. Which is the nearest to -1/7? (a) -1 (b) 1 (c) h (d) -3 c Let q = 3.08 - 0.08. Let v(x) = x**2 - 3*x - 4. Let r be v(8). Let p be 36 - r - 1/3. Which is the closest to p? (a) 1/7 (b) q (c) -1/7 c Let z = 10776 - 10773. What is the nearest to -3/10 in z, 0.5, -2, 14? 0.5 Let u be 6 - (-140)/(-8) - (-6 - 4). What is the closest to 2/5 in u, -0.2, 17.8, 2? -0.2 Let j = -1058 - -400. Let y = j - -657. What is the closest to 2/5 in y, -8.3, -0.3? -0.3 Let j(w) = -7 + 3*w - 5 - 10 - w. Let r be j(10). Let
{ "pile_set_name": "DM Mathematics" }
True Is 345203801 composite? True Is 349359183269 a composite number? False Is 1293135479 composite? False Is 57643355053 a composite number? True Is 32972890259 a composite number? True Is 1023931999 a prime number? False Is 1058927678 a composite number? True Is 130695448145 a composite number? True Is 143004545129 composite? True Is 312450163 composite? True Is 4054491893 a composite number? True Is 1469158049 prime? True Is 4013514847 composite? False Is 6697502187 composite? True Is 200182559 prime? True Is 6770434799 composite? False Is 88063667 composite? False Is 2141523817 a composite number? True Is 2480700361 a composite number? False Is 1351100566417 prime? False Is 522315251 a composite number? True Is 8856757241 a composite number? True Is 517818269 a composite number? False Is 46487777309 prime? True Is 23515374461 prime? True Is 870216481 prime? False Is 7012266134 a prime number? False Is 47175969107 composite? True Is 167389543 prime? True Is 37167997 prime? 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True Is 4904452571 a composite number? True Is 143114735773 a composite number? True Is 701343053 composite? True Is 1368986323 prime? True Is 6362449961 prime? False Is 215798929739 a prime number? True Is 235057327 composite? True Is 16259463917 prime? True Is 2633752621 a prime number? False Is 40380564439 a composite number? True Is 189982879 a composite number? True Is 44448707 a composite number? False Is 53180735003 prime? False Is 7461274441 a prime number? True Is 2468316373 a prime number? False Is 75434320783 prime? True Is 3827799329 a composite number? False Is 128606291059 composite? True Is 474340819 prime? False Is 1915388933 a prime number? False Is 1272033773 composite? True Is 2336098049 composite? False Is 512031913 composite? True Is 582996109 composite? False Is 76713282851 composite? False Is 4485780703 a prime number? True Is 27909817271 composite? True Is 2010244394 a composite number? True Is 292634623 composite? True Is 5316405187 composite? False Is 293000573 a prime number? False Is 152728358603 composite? False Is 38687983 composite? True Is 6511738749 a prime number? False Is 58569833467 a prime number? True Is 154819867 a prime number? False Is 6168405659 prime? False Is 7410464567 prime? False Is 382901377 a prime number? True Is 34183486727 a composite number? True Is 44790367 a composite number? True Is 1645813049 a composite number? False Is 56469547739 a composite number? True Is 207298703 composite? False Is 12193452347 a composite number? True Is 1229020687 prime? False Is 65608619 a prime number? True Is 102648059 a composite number? False Is 117414989 a composite number? True Is 8186285441 composite? True Is 1010790113 prime? True Is 246848317889 prime? False Is 5941150342 a composite number? True Is 11878734607 a prime number? True Is 314109952729 composite? True Is 446963857 a prime number? True Is 1191199411 prime? False Is 2890259495 a composite number? True Is 18467122477 a composite number? True Is 9005210689 a prime number? True Is 25427317381 prime? False Is 61427407 a composite number? False Is 2302662979 a composite number? True Is 491148761 composite? False Is 31704389553 a composite number? True Is 3014274239 a prime number? False Is 15933139217 a prime number? True Is 118103230667 composite? False Is 2351605573 composite? False Is 238584191 prime? True Is 26023445983 a prime number? True Is 114173843 composite? True Is 77484038053 prime? True Is 1153313831 a prime number? False Is 3135716321 a composite number? True Is 3404115737 composite? True Is 961278371 a composite number? True Is 1259473945 prime? False Is 117965495203 prime? True Is 104404789 a prime number? True Is 1535855201 a composite number? False Is 8063933329 a prime number? True Is 3497528699 composite? True Is 731084845 prime? False Is 1578155357 a composite number? True Is 4276193503 a prime number? False Is 3705361181 prime? True Is 139656449362 prime? False Is 4157207227 composite? False Is 22686588143 a composite number? False Is 13046332279 a prime number? True Is 535258931 a composite number? False Is 29335736065 prime? False Is 3372587873 composite? True Is 9273332821 prime? True Is 2579565971 prime? False Is 35388907 prime? True Is 38863193711 composite? False Is 363840349 a prime number? True Is 1154986633 composite? True Is 2690358889 prime? True Is 39321024497 composite? True Is 19865453215 prime? False Is 10275481613 prime? True Is 311719357 composite? True Is 666641117 prime? True Is 84933739 a composite number? True Is 80348797 composite? True Is 29911039723 composite? True Is 38940834511 composite? True Is 9070243877 prime? False Is 5950106339 composite? False Is 25459197187 a prime number? True Is 35709818509 prime? False Is 14262321407 a prime number? False Is 19642835677 a prime number? True Is 61253962969 a composite number? False Is 15695477143 prime? False Is 411094721 a prime number? False Is 1334821699 composite? False Is 2108936707 composite? True Is 8024388851 a prime number? True Is 2137551101 a prime number? False Is 2057695333 a composite number? False Is 2378787655 prime? False Is 26539446697 a composite number? True Is 8426007713 a prime number? False Is 3989782319 composite? False Is 825769199 a prime number? True Is 7416690
{ "pile_set_name": "DM Mathematics" }
et k(u) = r*t(u) - 8*n(u). Is k(4) a composite number? True Suppose 3*y + 4*s = -s + 498, -492 = -3*y - 3*s. Is y prime? False Let r(o) = -4*o**2 - 3*o - 5. Let a be r(-4). Let b = -32 - a. Is b a composite number? True Let k = -447 - -772. Suppose -3*w - 2*w = -k. Is w a composite number? True Is 603/(-6)*(-2)/3 a prime number? True Let l = 8 + -3. Suppose -4*o + 124 = 4*j, 7*j - 124 = 3*j + l*o. Is j a composite number? False Let c(i) = 3*i - 6. Suppose -9 - 3 = -3*u. Let k be c(u). Suppose -k*z + 147 = -3*z. Is z a composite number? True Let w be 17/5 - 4/10. Let g = 6 - w. Let l(y) = -y**3 + 6*y**2 + y - 4. Is l(g) a composite number? True Suppose 2*s + r = 4 - 2, 4*s - 10 = -5*r. Suppose -3*w + 0*w + 12 = 0. Suppose -w*u + 189 + 271 = s. Is u composite? True Let n(q) = -q + 5. Let u = -15 + 21. Let k be n(u). Is 1 + k - (3 - 52) a prime number? False Let h be (-22)/8 - 4/16. Let x be (h/9)/(1/(-3)). Is 1 - 2 - (x - 13) a prime number? True Let b = 30 - -39. Suppose 3*c = 6*c - b. Is c composite? False Suppose -u = -34 - 44. Suppose 0 = -5*l - 4*p - u, -5*l - 3*p - 80 = 1. Is l/3*7/(-3) a composite number? True Let k = 766 + -1364. Is (-8)/(-28) + k/(-14) a prime number? True Let g be (-6 + 0)/(5/10). Is 508/(-6)*g/8 a composite number? False Let z = 16 + -1. Suppose -3*m + z = 2*c, c + 0*m - 12 = -3*m. Is c a composite number? False Suppose -550 = -h - 6*y + y, 1631 = 3*h - 4*y. Is h a composite number? True Suppose 28 = -2*m - 2. Let b = m + 38. Suppose -2*i - 148 = -4*a, -a - 2*i = i - b. Is a composite? True Suppose 2*t = c + 205, 0*c - 304 = -3*t + 5*c. Suppose 0 = 3*s - 2*s - t. Is s prime? True Let k be (-4)/16*1*-4. Let n(m) = m**2 - 2*m + 1. Let t be n(2). Is (t + k)/(4/6) composite? False Let c(f) = 3*f**2 + 6*f - 2. Is c(9) a prime number? False Let p = -2290 - -4521. Is p composite? True Is -2*59*4/(-8) prime? True Suppose -6*o + 1771 = -377. Is o a composite number? True Let b = 2173 - 1232. Is b a prime number? True Suppose b = 4*f + 4*b + 80, -5*f - 3*b - 97 = 0. Let q = f + 108. Is q a composite number? True Let t be (1/(-3))/(1/(-6)). Suppose 4 = 2*c, -t*s - 2*c = -3 - 3. Is ((-66)/(-15))/(s/5) a prime number? False Let o = 11 - 7. Let v(i) = 11 - i - 4*i + o*i. Is v(8) a composite number? False Let x = 811 - 534. Suppose 3*b = -2*s + 115, 4*b = -4*s - s + x. Is s a prime number? True Let n(d) = d**2 + 3*d + 1. Is n(8) composite? False Suppose -c + 4*h = -1, 5*c - 38 = -3*h + 82. Is c a composite number? True Is 2*-254*3/(-12) a composite number? False Suppose p = l + 6, 4*p + 4*l = p - 10. Suppose -p*k - 4*v = -0*k - 88, 87 = 2*k + 5*v. Suppose a + 57 = 5*t - 0*a, 4*t - a = k. Is t composite? False Let g = 0 + 0. Let s(p) = p**2 - p + 57. Let k be s(g). Let v = -26 + k. Is v prime? True Let x = -39 + 55. Is (95/(-20))/((-2)/x) composite? True Let h = 2 + 2. Suppose -3*i - w - 159 = -h*w, -2*w + 49 = -i. Is 1/(2 + 111/i) prime? True Suppose 0 = -6*p + 10*p - 536. Is p composite? True Let w(u) = -u**2 + 6*u + 3. Let j be w(7). Let q(s) = -145*s**3 - 2*s**2 + 2*s - 1. Let f be q(1). Is f/j + (-5)/(-10) prime? True Let v(g) = 2*g**2 - 4*g - 14. Let b(k) = -3 + 2 + k + 0. Let f(s) = -5*b(s) + v(s). Is f(-8) a prime number? True Suppose 3*f - 1487 = h, 3*f - 8*f - h + 2489 = 0. Is f a prime number? False Suppose -12 - 39 = -4*k + y, 0 = -4*y - 12. Suppose -k*z + 8*z + 188 = 0. Is z a composite number? False Let k(v) = 2 - 4*v**3 + 2*v**3 + 12*v**2 + 0*v**3 + v**3. Let l be k(12). Suppose -l*w + 21 = -w. Is w a composite number? True Let p(c) = c**2 + 4*c + 237. Let r(m) = m**2 + 3*m + 237. Let q(k) = -4*p(k) + 5*r(k). Is q(0) a composite number? True Let s(a) = -a**3 + 12*a**2 + 9*a + 3. Let t be 15/2*24/18. Is s(t) a composite number? False Suppose 2*m - 3*m + 407 = 3*b, -4*b = 0. Is m a composite number? True Suppose -4*t + 2*t + 4*f + 662 = 0, 5*f + 334 = t. Is t a composite number? True Suppose 0 = 2*h - 7 + 111. Let s = h - -75. Is s a prime number? True Let t = -238 + 468. Let b = t - -1393. Is b/33 + 4/(-22) a composite number? True Let k = 707 - -206. Is k a prime number? False Let c be (-5)/((-15)/6) + 419. Suppose -4*q = 5*m - c, 4*q - 4*m - 339 = q. Suppose -20 - q = -3*s. Is s prime? True Let r be 3/(-18)*-2*-57. Let s be r/3 - 4/6. Let h(x) = -x**3 - 5*x**2 - 8*x + 9. Is h(s) prime? True Suppose 9 + 1 = m. Let c(t) = -7 - 2 - m*t + 2. Is c(-6) a prime number? True Let z(l) = 5*l**3 - 2*l**2 + 2*l + 1. Is z(2) a composite number? False Let z(l) = -4*l - 8*l**2 - l**3 + 0*l**3 - 1 + 10*l. Let x be z(-9). Let y = x - -11. Is y a composite number? False Suppose -5*t = -2*t. Suppose 3*a + 164 - 611 = t. Is a prime? True Suppose 5*q + 266 = -179. Let c = 4 - q. Is c a composite number? True Suppose -5*a + 5707 = v, 3*a + 3*v - 467 = 2962. Is a composite? True Suppose 0*d + d + 1 = -2*s, s - 4*d + 23 = 0. Is 5 - -80 - (-5 - s) composite? True Suppose -3660 = -5*n + 385. Let f = n - 408. Is f a prime number? True Let t(u) = 2*u**2 - 9*u - 10. Suppose 7*c - 3*c = -40. Let n = 21 + c. Is t(n) a prime number? False Let r(k) = 240*k**2 + 2*k + 1. Let x be r(-1). Suppose -w - 2*w + x = 2*a, a - 100 = 5*w. Is a a prime number? False Suppose -r - 2*t = 222, -3*r - 1124 = 2*r - 4*t. Let f = 31 + -19. Is r/(-6) - (-8)/f composite? True Suppose 6 = y + l, 2*y - l - 7 + 4 = 0. Let f be (-1)/(-2)*(0 - 0). Suppose f = -g - q + 3 + 4, -y*g + 3*q - 3 = 0. Is g prime? True Let d be ((-125)/3)/((-1)/3). Let a be (-2)/3 + 532/6. Let l = d - a. Is l a composite number? False Let v = -102 - -208. Suppose -2*h + v = 5*s, 2*h = 5*h - 2*s - 121. Is h composite? False Suppose w = 2 - 4. Is -2 - (w + 3)*-369 composite? False Suppose 3*a = s + s + 4961, 0 = 5*a + 3*s - 8300. Is a composite? False Suppose 0 = -3*h + 5*r + 3132, -3*r - 1411 = -3*h + 1727. Is h a composite number? False Let g(y) = 2*y**3 + 35*y**2 - 10*y - 10. Is g(-17) prime? True Let n be -1 - ((64 - 3) + 2). Let o = 287 + n. Suppose d = 2*d - o. Is d composite? False Suppose 1793 = 4*p + 3*y, -3*y = -p - 4*p + 2221. Let m = 637 - p. Is m composite? False Is 2 + 0 + -1*85*-15 prime? True Let x be (2/(-4))/(3/(-684)). Is x + (4 - 1 - 2) prime? False Let m = 65 + -18. Is m prime? True Suppose -4 = -4*p - 4*n, 0 = -p + 3*p - 2*n - 6. Suppose 4*o - 6 + 0 = p*y, 5*y - 7 = -o. Suppose 0 = u - 3*h - 65, u - o*h - 64 = -0*h. Is u prime? False Suppose 0 = 3*t + w - 6728, -4*t + 8593 + 381 = -2*w. Is t composite? False Let i = -208 - -293. Is i a composite number? True Let q(c) = -14*c - 6. Let x be q(9). Let o = x - -259. Suppose -3*a + 16 = 1, 0 = -4*s + 5*a + o. Is s prime? False Let n(p) = 11*p - 5. Let s(v) be the first derivative of -5*v**2/2 + 2*v + 2. Let j(m) = -6*n(m) - 14*s(m). Is j(5) composite? True Is (-3 + 562/(-4))*-2 a prime number? False Suppose 3*k - 3157 = -4*k. Is k prime? False Let m be -40*(26/(-10) - -1). Suppose -3*l = -3*f + 105, -2*f + 3*l + 4 + m = 0. Is f prime? True Let q(w) = 8*w + 7. Let j(p) = -11 - 8*p - p - 4 - 7*p. Let l(b) = 2*j(b) + 5*q(b). Is l(6) composite? False Is (124/10)/(1/10) - -3 a composite number? False Let i = 724 + -167. Is i prime? True Let o(j) = -2*j + 1. Is o(-10) prime? False Let d(a) = a**3 - 8*a**2 + 6*a - 1. Let t be d(5). Let j = -32 - t. Is j composite? True Suppose 0 = -5*i - 22 - 8. Is (-130)/4*i/5 a composite number? True Suppose 3*t = 3*b + 9, 2*b + 3*t - 6 = 2*t. Let p(u) = 12*u**3 + u - 1. Let a be p(b). Suppose -3*w = -4*m - 373, -2*m = m + a. Is w a composite number? True Let j(n) = 7*n**3 - 2*n**2 - n. Let w(i) = -i. Let h(p) = p + 2. Let y(d) = h(d) + 2*w(d). Let g be y(0). Is j(g) a composite number? True Let i = 112 - 162. Let z = -13 - i. Is z composite? False Let b = 10 + -11. Let v be -1 + -1 + 4 - b. Is (127/3)/(v/9) prime? True Suppose 4*r + r + 2505 = 5*s, -986 = -2*s - 2*r. Is s a prime number? False Suppose -3*q - 92 = -j + 27, -5*j + 607 = -3*q. Let b = j - 87. Is b a prime number? False Let f be 1 + (-1 - 0) + 103. Let g = -1 + 5. Suppose -w + 35 = -r, -f = -3*w - 2*r + g*r. Is w composite? True Let j(s) = -s**3 - 11*s**2 + 17*s - 46. Is j(-21) a composite number? False Let g be ((-873)/6)/((-3)/(-6)). Let b = 424 + g. Is b composite? True Let r = 6 + -8. Let m be r/(-4) - 906/(-12). Suppose 0 = 5*f, -3*l
{ "pile_set_name": "DM Mathematics" }
form f + j*u**2 + a*u**3 + k*u and give a. -57 Express (307*o - 5 + 5)*(49*o + 0 + 0 + 1) in the form z*o + a*o**2 + u and give a. 15043 Rearrange 200 - 328 + 145*a**2 + 127 to the form c + k*a + z*a**2 and give z. 145 Express 288*p**3 - 145*p**3 - 140*p**3 - 170*p + 148*p + 6 as l + u*p**2 + r*p**3 + z*p and give z. -22 Express (2*b + 2*b**2 - 2*b)*(2 + 12*b - 2) + (11*b + 134 - 138 + 10*b)*(-4*b**2 + 5*b**2 + b**2) as w*b + k + d*b**2 + s*b**3 and give s. 66 Rearrange 28 - 161 - 3*t - t + 520 to the form p + w*t and give p. 387 Rearrange 1536*v + 203*v**3 - 1536*v + (3 - 5 + 4)*(-2*v**3 + 2*v**3 - v**3) to c*v + n + j*v**3 + x*v**2 and give j. 201 Express -3*o - 3*o**3 - 912*o**4 - 925*o**4 + 1831*o**4 - 1 as f + b*o**3 + s*o**4 + u*o**2 + z*o and give z. -3 Express (-3*h + 4*h + 2*h)*(11*h + 20 - 20)*(44 + 21 + 23) in the form l*h + v + o*h**2 and give o. 2904 Rearrange 5*u - 4*u + 1 - 1895*u**2 + 1894*u**2 + 4*u**3 + 5*u to the form z*u + v + l*u**2 + b*u**3 and give b. 4 Rearrange ((-1 - 3 + 2)*(-1 + 5 - 5) + 2 + 0 - 1)*(-41*c - 19 + 19 + (-c + c - 2*c)*(0 - 1 + 3)) to the form p*c + g and give p. -135 Rearrange -109*w**3 + 4*w - 20*w**3 - 16*w**3 - 54*w**3 + 77*w**3 - 3*w**2 to the form x*w**2 + q + t*w + r*w**3 and give r. -122 Rearrange (2 - 41*b - 7 + 6 + (0 + 0 - b)*(-5 + 3 + 0))*(-491*b - 4 + 268*b + 426*b) - 2*b**2 + 1 - 1 to the form l + m*b**2 + q*b and give q. 359 Rearrange (5 - 50 + 130)*(-2*k + 0 + 0*k + 3)*(-66 + 66 + 18*k) to the form a*k + u*k**2 + x and give u. -3060 Express -3*f**2 + 2*f**4 + 3*f**2 + (35*f - 42 - 78*f + 44*f)*(f**3 - 8 - f - 3*f + 2*f) as i*f**2 + n + l*f**4 + w*f + z*f**3 and give l. 3 Express -32*j - 51*j + 156 + 112*j - 45*j in the form i + y*j and give y. -16 Rearrange -28*p + 28571 - 9*p**2 + 11*p**2 - 28572 - 30*p to the form y*p + l*p**2 + v and give v. -1 Express (-2 + 1 + 2)*(971*d + 238974 - 238974 + (0 + 0 - 1)*(-d + 2*d - 4*d)) in the form i + r*d and give r. 974 Express 2806*h - 37*h + 1 - 1 in the form l*h + m and give l. 2769 Express (-6*r + 4*r - r)*(3*r + 0*r + 16*r)*(-16*r + 6*r + 9*r) + 5*r**3 - r**3 - r**3 as f*r + s*r**3 + y + i*r**2 and give s. 60 Rearrange -3340*n**2 + 1920*n**2 - 4506*n**2 + 200 - 22*n**2 - 199 to the form j*n**2 + s + m*n and give s. 1 Express 2*g + 2*g**2 - 2*g + (0 + 0 - 1)*(5*g**2 - 4*g**2 + g**2) + 4*g**2 + g**2 - 2*g**2 - 249 + 49*g**2 + 249 as n + p*g**2 + f*g and give p. 52 Rearrange (0*d + 0*d + 3*d)*(-747*d**3 - 3*d + 622*d**3 + 631*d**3) to the form x*d**4 + z*d + i*d**3 + l + y*d**2 and give l. 0 Rearrange (0 + 3 + 0)*(12 - 12 - 18*j) + (-5 + 5 - 2)*(-2*j + 4*j + j) + (-3 - 4 - 4)*(2*j - 2 + 2) - 4*j - 2*j + 3*j to the form l*j + h and give l. -85 Rearrange -543888 - 2*h**4 + 543888 - 2*h**2 + 173*h**3 + h to u*h**3 + r*h + w*h**4 + d*h**2 + p and give d. -2 Express 930*v**2 - 682*v**2 - 78*v + 78*v + 828*v**2 as k*v**2 + o*v + i and give k. 1076 Express -1 + x + 508626*x**4 + x**3 + 2 - 64*x**2 - 508623*x**4 as n*x**3 + w*x**2 + g + r*x**4 + m*x and give n. 1 Express (-2 + 2 - 4)*(0 + 0 + 2)*(-4 - 6 + 23)*(-8*h - 10 + 10)*(9 - 26 - 58) as a + u*h and give u. -62400 Rearrange -205*u - 6*u**2 - 4*u**3 - 255*u + 484*u to the form s + n*u**3 + b*u + i*u**2 and give n. -4 Express (-1205 - 979 - 342)*(-2 + 2 + o) + (-3 + 9 - 18)*(-3 - 2*o + 3) as y + f*o and give f. -2502 Express u + 7*u**3 + 3*u**4 + 3 + 83*u - 10 + 6 in the form x*u**3 + l*u**4 + p*u + z*u**2 + k and give x. 7 Rearrange (-2*f + f**2 + 2*f)*(39*f - 306 + 306) - 39*f**3 + 13*f**3 + 13*f**3 to the form k*f**3 + g + j*f**2 + p*f and give k. 26 Express -29*b**2 + 20*b**2 + 7*b**2 - 4*b**3 + 34*b + 7*b**4 - 8*b**4 as q*b**3 + h + a*b**4 + m*b + f*b**2 and give q. -4 Express ((-2 + 4 - 1)*(-5*n - 24 + 24)*(-12 - 38 - 14) + (3 - 3 + 2)*(n - 5*n + 2*n))*(-11 - 10*n**2 + 11) as v*n**2 + r + k*n + a*n**3 and give a. -3160 Express (1 - 1 + a**2)*(123*a + 1326*a - 344*a) - 4*a**3 + 11*a**3 + 2*a**3 as w*a**3 + x + l*a + r*a**2 and give w. 1114 Express -32*g + 519 - 484 + 51*g in the form m + r*g and give r. 19 Express 137446*m + 137614*m - 272912*m as k*m + o and give k. 2148 Rearrange -2177*t + 94 + 1123*t + 1064*t + (-2*t + 2 - 2)*(3 - 1 + 0) to q*t + v and give v. 94 Rearrange (-145*p - 143 + 69 + 76)*(-285*p + 285*p - 37*p**2) to x*p + c*p**3 + q + h*p**2 and give c. 5365 Rearrange -176 + 176 - 27*v**3 + ((-4 + 1 + 4)*(10*v**2 - 6*v + 6*v) - v + v + 3*v**2)*(-3 - 2 + 4)*(2*v + 4*v - 5*v) to q*v**3 + r*v**2 + w + t*v and give r. 0 Rearrange -3*y**4 - 140*y**2 + 14*y + 161*y**2 - 9*y + y**3 - 1 - y to x*y**2 + r*y**3 + u + d*y + g*y**4 and give r. 1 Rearrange (-97*o**2 - 99*o**2 + 192*o**2)*((o + 0*o + 0*o)*(-6 + 0 - 2) - 2*o - 2*o + o) to j*o + d*o**2 + a*o**3 + y and give a. 44 Rearrange -104212*u**2 + 207483*u**2 - 100288*u**2 to the form g + s*u + f*u**2 and give s. 0 Express -5265*l**3 + 10527*l**3 + 0 + 0 - 152*l**4 - 5252*l**3 - l**2 as t*l**2 + f*l**3 + p + w*l**4 + x*l and give w. -152 Rearrange -741*y**3 - 743*y**3 - 743*y**3 - 8*y**4 + 2961*y**3 - 739*y**3 - 20 to the form f*y**3 + r*y + p*y**2 + h + g*y**4 and give g. -8 Express 6*n**2 + 1026*n**4 + 7 - n**2 - 1019*n**4 + n - 15 - 4*n**2 in the form f*n**3 + b + u*n**2 + s*n**4 + y*n and give y. 1 Express -68*p**3 - 4 + 309*p**2 + 7 - 595*p**2 + 288*p**2 as c + n*p + l*p**2 + t*p**3 and give c. 3 Rearrange 34*o**2 - o**4 + o**2 - 6*o**3 - 47*o**2 + 11*o**3 to s*o**4 + m*o**3 + w*o + h*o**2 + l and give m. 5 Express 203 - 4*l - 132*l**2 - 420 + 218 as g*l + n*l**2 + q and give q. 1 Express -128*b + 39*b - 414*b**2 + 1374*b**2 + 40*b + 47*b in the form w*b**2 + u*b + f and give w. 960 Rearrange (10 - 7 + 9)*(0 - 2 + 3*h + 0) - 422*h + 209*h + 211*h + 78 to the form y*h + c and give y. 34 Express (-3*u**2 + 5*u**2 + 0*u**2)*(3*u**2 - 3 + 3) + 0*u**4 + 7893*u - 3*u**4 + 2*u**4 + 3665*u in the form p + k*u**3 + s*u + q*u**2 + c*u**4 and give q. 0 Express 18922*w - 4 - 9655*w + 4 - 12332*w as h*w + p and give h. -3065 Rearrange 1392*w**3 - 1437*w**3 + 889*w**3 + (1 - 3 + 1)*(-4*w**3 + 4*w**3 - w**3) + 0*w**3 + 2*w**3 + w**3 to the form x + f*w**3 + z*w**2 + q*w and give f. 848 Express 6871*c - 4454*c + 18261*c - 975*c in the form u*c + o and give o. 0 Rearrange (0*c + 0*c - 3*c)*(953 + 126 + 15 + (3 - 7 + 3)*(-3 + 1 + 3) - 45 + 21 + 26) to the form q + u*c and give u. -3285 Express 3*j**2 - 2*j**2 - 1140*j + 11*j**4 + 1125*j as x*j**3 + z*j + b*j**2 + o + v*j**4 and give z. -15 Express h - 193 - 6*h**4 - h**3 + 16*h**4 + 3*h**2 - 142 + 61 in the form g + d*h**3 + n*h**4 + q*h + a*h**2 and give n. 10 Rearrange 29*x**3 + 4*x - 4*x**4 - 5*x**4 - 2*x**2 + 5*x**4 + 0*x**2 + x to a*x + u*x**2 + s*x**3 + f*x**4 + w and give w. 0 Express 639*q**2 + 146 + 21*q - 328*q**2 - 313*q**2 + 36 as k*q**2 + j*q + z and give k. -2 Express -2*v + 33 + 11 - 33*v**2 + 6 - 2 - 3 as z + k*v + a*v**2 and give k. -2 Rearrange (-3*d - 2*d + 0*d)*(-50*d + 402*d + 40*d)*(16*d + 12*d - 6*d) to j + u*d**3 + y*d + c*d**2 and give u. -43120 Rearrange (-36 - 31 + 87)*(1 + 1 - 1)*(0 - 2*x + 2 - 2*x) + (-2*x - x + x)*(0 + 3 - 2) + 0 - 3*x + 0 to the form q + h*x and give q. 40 Express 0 - 2*u**4 + 0 + (-1771*u**3 + 80*u**4 + 1771*u**3)*(-1 + 0 - 8) - 5*u**4 + 0*u**4 + 3*u**4 as d*u**3 + m*u + p + b*u**2 + z*u**4 and give z. -724 Express -4 + 3 - 5 + 18*w**2 - 8 - 24 in the form u*w**2 + o + l*w and give o. -38 Rearrange -9*u**2 + u - 1412 - 27*u**3 + 15*u**3 + 1418 to the form v*u**3 + a*u**2 + q + c*u and give v. -12 Rearrange (-124 + 37 - 241)*(10 + 7 - 7)*(2*x + 0*x - 3*x + (-3*x + 5*x - x)*(2 - 1 + 1) + 0*x + 3*x - x) to k + l*x and give l. -9840 Express (4*w**3 - 5*w**3 - 3*w**3)*(0 + 1 - 3)*(1 - 1 - 3*w)*(-6 - 2 + 7) - 2*w**4 + 0 + 0 in the form f + r*w**3 + b*w**2 + o*w**4 + k*w and give o. 22 Express 221 - 400 - 13411*n + 179 in the form f*n + u and give f. -13411 Rearrange (-3352*q - 1 + 1 + 1977*q)*(1 - 2 - 2) to x + b*q and give b. 4125 Express -1040*o - 977*o + 611*o as n*o + f and give n. -1406 Express 72*c**4 + 63*c**4 - c + 71*c**4 + 1 - 204*c**4 + 83*c**3 + 254*c**3 + c**2 in the form x*c**3 + j*c**2 + k + g*c**4 + n*c and give g. 2 Express -4 - 188*y + 193*y + 5*y**2 + 15*y**2 + 3 + 9*y**2 in the form g + r*y**2 + z*y and give r. 29 Express 15042*t - 7521*
{ "pile_set_name": "DM Mathematics" }
2. What is r(v(t))? 403897351538*t**2 Let j(t) = -58*t**2 - 2*t - 23. Let d(n) = -2*n**2. Calculate j(d(q)). -232*q**4 + 4*q**2 - 23 Let q(h) = -110160*h**2. Let w(s) = -5*s + 2. Give w(q(x)). 550800*x**2 + 2 Let d(x) = x**2. Let q(b) = 237*b**2 + 3*b - 208. What is q(d(w))? 237*w**4 + 3*w**2 - 208 Let s(d) = -3*d**2. Let m be -1*(-50)/(0 - -2). Suppose 2*b = 3*w - w - 564, 5*b + m = 0. Let i(r) = -277*r + w*r - 9*r**2. What is s(i(z))? -243*z**4 Let m(h) = -3929*h**2. Let d(r) = 3*r**2. What is m(d(w))? -35361*w**4 Let h(o) = 6*o**2 + 2*o - 2. Let j(d) = -19*d**2 - 7*d + 7. Let m(x) = -7*h(x) - 2*j(x). Let i(n) = 0*n**2 - n**2 - n**2 - n**2. Determine i(m(u)). -48*u**4 Let y(v) be the second derivative of -v**3/3 + 44*v. Let h(g) = -16*g**2. What is h(y(t))? -64*t**2 Let d(o) = -288*o. Let j(t) = -17*t. Let u = -44 + 128. Let m(a) = u*j(a) - 5*d(a). Let s(r) = -r**2. Calculate m(s(x)). -12*x**2 Suppose 4*u = 5*n - 12, -4*n + 3*u + 9 = -6*n. Let c(m) be the third derivative of 0*m**3 - 1/24*m**4 - m**2 + n*m + 0. Let h(k) = k. Give h(c(w)). -w Let z(c) = -37*c. Let r(b) = -6*b**2 - 6*b**2 + 18*b**2 - 7*b**2. What is z(r(u))? 37*u**2 Let i(g) = -4*g + 8*g + 3*g. Let m(l) be the first derivative of -2 + 0*l + 0*l**2 + 2/3*l**3. What is m(i(a))? 98*a**2 Let u(f) = 650*f. Let g(o) = -3*o**2 + 5*o - 10. Let l(h) = 4*h**2 - 6*h + 12. Let t(z) = -6*g(z) - 5*l(z). Determine t(u(v)). -845000*v**2 Let j(t) = 78779*t**2. Let c(y) = 2*y. Give j(c(m)). 315116*m**2 Let a(s) = -6*s. Let m(r) be the first derivative of 6*r**2 - 10*r - 1. Let i(h) = 389*h + 387*h - 775*h - 1. Let t(v) = -10*i(v) + m(v). Determine t(a(b)). -12*b Let o(m) = m - 10892. Let d(a) = 3*a**2. What is d(o(k))? 3*k**2 - 65352*k + 355906992 Let l(d) = 5*d. Let f = -34 + 36. Let h(p) = -3*p**f + 48*p + 0*p**2 - 48*p. Determine h(l(z)). -75*z**2 Let j(n) = n + 3. Let v(f) = -1. Let s(i) = -j(i) - 3*v(i). Let c = 55 - 46. Let h(l) = 3*l**2 + c*l**2 + 0*l**2. What is s(h(y))? -12*y**2 Let y(d) = -293*d. Let o(g) = 2*g**2 - 27*g. Calculate y(o(q)). -586*q**2 + 7911*q Let l(f) = -6*f**2 + 17*f + 17. Let o(k) = -k**2 + 3*k + 3. Let u(m) = 6*l(m) - 34*o(m). Let s(v) = -11 - 11 - 6*v**2 - 12 + 32. Calculate u(s(c)). -72*c**4 - 48*c**2 - 8 Let j(b) = -209*b - 207*b + 423*b. Suppose 0 = -0*y + y - 3. Let t(r) = r - y*r - 3 + 3. Give j(t(m)). -14*m Let j(w) = 1818*w**2 + 16. Let d(i) = -2*i. Calculate j(d(f)). 7272*f**2 + 16 Let m(c) = -3*c - 3. Let v(z) = 6*z**2 + 2538. Determine m(v(p)). -18*p**2 - 7617 Let v(w) = w**2. Suppose 0 = -3*z + 40 + 14. Suppose 0 = -0*p + 2*p - z. Let q(a) = -a - 3*a + p*a. Give v(q(n)). 25*n**2 Let u(p) = -19176*p**2. Let g(i) = 375*i. Determine u(g(d)). -2696625000*d**2 Let b(l) = 15*l + 6. Let d(s) = 19*s. Let m(a) = 14*a. Let h(n) = -3*d(n) + 4*m(n). Calculate h(b(k)). -15*k - 6 Let y(d) be the second derivative of -d**5/20 + 7*d**3/6 + 36*d. Let a(o) be the second derivative of y(o). Let n(b) = 0*b**2 + 4*b**2 - 2*b**2. Give a(n(r)). -12*r**2 Let y(p) = -p**2. Let r(l) = -l**2 - 2. Let h(x) = -1803*x**2 - 4808. Let b(a) = h(a) - 2404*r(a). Determine y(b(m)). -361201*m**4 Let s(l) = -l**2. Let z(x) = -3304*x - 1424. What is z(s(m))? 3304*m**2 - 1424 Let j(w) = 2795*w**2 + 2*w + 1. Let t(r) = 4*r. Give t(j(k)). 11180*k**2 + 8*k + 4 Let w(o) be the first derivative of 0*o - 32 - 5/2*o**2. Let q(d) = -8*d**2. Determine q(w(z)). -200*z**2 Let t(x) = -547*x + 20. Let k(u) = -2*u. Calculate k(t(d)). 1094*d - 40 Let w(r) = 1 + 2*r - 1. Suppose -5 = -5*m + 10. Let h(o) = 11*o**2 - 3*o - 3. Let y(a) = -11*a**2 + 4*a + 4. Let q(l) = m*y(l) + 4*h(l). Give q(w(t)). 44*t**2 Let n(m) = -m**2 + 3*m + 23128. Let i(h) = -2*h. Calculate n(i(a)). -4*a**2 - 6*a + 23128 Let c(x) = -207*x + 5. Let q(n) = -104*n + 3. Let z(d) = -3*c(d) + 5*q(d). Let l(m) = -m**2. Determine z(l(h)). -101*h**2 Let r(h) = 35*h. Let z(s) = 97*s + 54. Determine r(z(y)). 3395*y + 1890 Let o(m) = m. Let b(x) = 11*x**2 + 27*x - 13. Let l(j) = 4*j**2 + 11*j - 4. Let d(t) = 4*b(t) - 13*l(t). Determine o(d(z)). -8*z**2 - 35*z Suppose -5*z = -4*k - 945, -1087 = -4*z - k - 352. Let r(f) = -11*f + 185 - z. Let j(y) = 5*y. Give j(r(i)). -55*i Let q(t) = 3*t**2 + 9. Let g = -36 - -32. Let y(m) = 3*m**2 - 4. Let k(f) = 2*f**2 - 3. Let v(c) = g*k(c) + 3*y(c). Calculate v(q(j)). 9*j**4 + 54*j**2 + 81 Let r(n) = n**2. Let x(h) be the first derivative of 23*h**6/360 + h**3 - 6. Let z(l) be the third derivative of x(l). Determine r(z(k)). 529*k**4 Let b(s) = 3*s + 5*s + s. Let n(o) be the third derivative of o**6/720 + 17*o**4/24 - 16*o**2. Let q(f) be the second derivative of n(f). Give q(b(c)). 9*c Let s(h) = h. Let y = 148 - 146. Let a(j) = j**3 - j**2 - 2. Let u be a(2). Let m(q) = -5*q**y + 11*q**2 - 5*q**u. Calculate m(s(g)). g**2 Let l(i) = 92057*i**2. Let j(t) = t**2. What is l(j(d))? 92057*d**4 Let u(n) = -1 + 1 - 3918*n + 3918*n + 17*n**2. Let q(j) = 34*j. Give u(q(k)). 19652*k**2 Let j = -17 + 30. Let u(b) = 3*b**2 + 6*b + 6. Let m(l) = 6*l**2 + 13*l + 13. Let f(y) = j*u(y) - 6*m(y). Let o(a) = 11*a. Determine o(f(d)). 33*d**2 Let z(n) = 2*n. Let r(s) be the first derivative of -s**2 + 90. Give r(z(u)). -4*u Let g(n) = -6*n**2. Let s(o) = -167*o**2 - 24*o. Give s(g(u)). -6012*u**4 + 144*u**2 Let d(h) = -133590*h. Let w(j) = -7*j**2. Calculate w(d(s)). -124924016700*s**2 Let g(z) be the third derivative of z**5/12 + 3*z**2. Suppose -b + 0 = -6. Let r(s) = -s - 2*s + b*s + 0*s. Calculate r(g(k)). 15*k**2 Let j(v) = -2*v**2. Let b(l) be the second derivative of 59*l**4/3 - 12*l. What is j(b(z))? -111392*z**4 Let p(x) = x - 11. Let y(u) = 39*u. Determine p(y(v)). 39*v - 11 Let n(m) = 3*m**2. Let z(s) be the third derivative of s**7/1260 + 7*s**5/15 + 23*s**2. Let j(q) be the third derivative of z(q). Determine j(n(y)). 12*y**2 Let r(l) = -2*l**2. Let x(h) = -585467*h**2. What is r(x(v))? -685543216178*v**4 Let r(u) = 52*u**2. Let v(m) = -125*m + m**2 + 125*m + 0*m**2. What is v(r(q))? 2704*q**4 Let b(l) = 304*l**2. Let i(v) = -1327*v + 2. Give i(b(s)). -403408*s**2 + 2 Let t(o) = o. Let a(m) = -m**2 - 33806*m. What is t(a(i))? -i**2 - 33806*i Let x(j) = -16*j**2 - 16*j. Let v(t) = -5*t**2 - 4*t**2 + 3*t**2 + 5*t**2. Give x(v(p)). -16*p**4 + 16*p**2 Let z(u) = u. Let s(l) = -l + 11. Let v be s(11). Suppose v = 2*t - 4*t + 16. Let r(g) = t*g + 3*g + 8*g. What is r(z(f))? 19*f Let t(y) = 7*y. Suppose 16*q - 22*q + 12 = 0. Let p(h) = 652 - 2*h**q - 652. Give p(t(c)). -98*c**2 Let q(j) = j. Let l(d) = 9*d**2 - 994*d + 75. Calculate q(l(c)). 9*c**2 - 994*c + 75 Suppose 0 = -q - 6 + 16. Let h = -8 + q. Let x(w) = 2*w**2 - 3*w**h - 3*w**2 + 2*w**2. Let n(l) = 2*l**2. Give n(x(r)). 8*r**4 Let n(a) = -1899*a. Let t(l) = -21*l. Determine t(n(z)). 39879*z Let h(v) = -335*v + 650*v + 327*v**2 - 315*v. Let b(q) = -2*q**2. Determine b(h(w)). -213858*w**4 Let u(k) = -10*k. Let j(t) be the first derivative of -t**6/360 + 4*t**3/3 - 1. Let l(r) be the third derivative of j(r). What is l(u(q))? -100*q**2 Let w(l) = 2*l**2. Let s(p) be the second derivative of 13*p**3/3 + 3*p**2/2 + 3*p + 10. Give s(w(t)). 52*t**2 + 3 Let r(g) = 9*g. Let b(c) = -164*c**2 + 4. Calculate r(b(u)). -1476*u**2 + 36 Let u(x) = -2*x**2 - 13. Let i(h) be the second derivative of 25*h**3/6 + 487*h. Calculate i(u(n)). -50*n**2 - 325 Let m(z) = 4*z**2. Let v = 13 - 35. Let w = -16 - v. Let i(c) = -w*c - 6 + 6 + 3*c. Calculate m(i(f)). 36*f**2 Let i(d) = 24*d**2. Let x be (-3 + -1)*45/(-9). Let f be (-70)/x*(-12)/7. Let p(l) = 5*l**2 + 3*l**2 - f*l**2. Calculate i(p(b)). 96*b**4 Let w(n) = -5*n. Let l(h) be the first derivative of -24 + 0*h - 8/3*h**3 + 0*h**2. What is w(l(u))? 40*u**2 Let v(q) = -2*q**2. Let k(a) = -a**2 - 475. Determine k(v(o)). -4*o**4 - 475 Let z(c) = -7*c. Let t(a) be the second derivative of a**3/6 + 2*a + 148. What is t(z(p))? -7*p Let y(s) be the third derivative of s**5/30 - 15*s**2. Let i(n) = 9*n**2 - 3*n. Let o(j) = -7*j**2 + 2*j. Let t(r) = 2*i(r) + 3*o(r). Calculate t(y(d)). -12*d**4 Let o(q) = 4*q**2. Let s(k) = 114*k + 3. Let r(c) = 57*c + 2. Let n(b) = 5*r(b) - 3*s(b). Determine o(n(g)). 12996*g**2 - 456*g + 4 Let w be 8/12 + (-120)/(-9). Let f(m) = -7*m - 7*m - 6*m**2 + w*m. Let n(l) = -l + 1. Let h(u) = 3*u - 4. Let p(k) = -h(k
{ "pile_set_name": "DM Mathematics" }
+ 200. Let v = 281 - k. List the prime factors of v. 101 Let x(z) = -z**2 - 11*z - 19. Suppose 3*j = 5*j + 20. Let k be x(j). Let v = k + 38. List the prime factors of v. 29 List the prime factors of (-151938)/(-69)*22/6. 2, 11, 367 Suppose 4*y - 54291 = m, 0 = -2*y - 13*m + 8*m + 27173. List the prime factors of y. 2, 11, 617 Let h be (279/(-8))/(-9) + 5/40. Suppose 45*t - 46354 = -h*t. List the prime factors of t. 2, 11, 43 Let u(b) = -56*b**3 + b. Let v be 2/5*(-5)/(-2). Let z be u(v). Let q = z + 78. List the prime factors of q. 23 Let k(x) = -929*x - 18. Let c(a) = 466*a + 9. Let g(w) = 5*c(w) + 2*k(w). List the prime factors of g(1). 13, 37 List the prime factors of -1 + (-16 - -2) - -22613. 2, 11299 List the prime factors of 5*(-5622)/(-24)*(-16 - -20). 5, 937 Suppose -9*z = -5*z - 3*m - 28165, -m = -5. List the prime factors of z. 5, 1409 Let s(b) = -b**3 - 39*b**2 - 37*b + 40. Let l be s(-38). Suppose 4*x - 1135 = 19*a - 22*a, 5*x - 1424 = -l*a. List the prime factors of x. 2, 11, 13 Suppose -227*d = -208*d - 110086. What are the prime factors of d? 2, 2897 Suppose 2*h + 25 - 23 = 0, 2*h = -5*j + 65938. What are the prime factors of j? 2, 3, 7, 157 Suppose 3*y - 2*o = 12, 0*o = y - 2*o - 8. Let v be (12/(-8) + 2)/(y/(-136)). Let p = 82 + v. List the prime factors of p. 2, 3 Suppose 5*t = 4*a + 97350, 2*t - 10*a + 15*a - 38907 = 0. What are the prime factors of t? 2, 9733 What are the prime factors of (121584/(-85) + -18)/(12/(-390))? 3, 13, 17, 71 List the prime factors of 34853/8 + 5*15/200. 4357 Let h(t) = -9*t + 36. Let s be h(4). Suppose -3*p + u = -952, -3*p = -s*p - 5*u - 956. Suppose -p - 39 = -4*g. List the prime factors of g. 89 Suppose 2*w - 3*d - 9356 = 0, 0 = -411*d + 408*d + 18. List the prime factors of w. 43, 109 Suppose 26*j + 4*j = 9600. What are the prime factors of 39/(-2 - (-5)/j*134)? 2, 13 What are the prime factors of (0 - 4647)/(-1) + (-132)/33? 4643 Let z = 15650 + -8649. List the prime factors of z. 7001 Let d = 51759 - 25586. List the prime factors of d. 7, 3739 Suppose -l - 2*t + 4 = 3*l, 2*t = -4. Suppose -59*f - 604 = -60*f + 5*z, 3101 = 5*f + l*z. List the prime factors of f. 619 Suppose 7*i + 460 = -4*z + 3*i, -4*i + 8 = 0. Let h = -118 - z. What are the prime factors of ((-3)/12)/((-1)/(-12)*h)? 3 Suppose 3*w - 18 = -3*w. Suppose -5*h = w*z - 6 - 59, 13 = h - z. What are the prime factors of 125/2 - h/26? 2, 31 Let j(g) = -g**2 - 22*g + 3. Suppose 3*s = -3*v - 66, -4*s - 34 = 3*v - 9*s. Let i be j(v). List the prime factors of (2 - 3)/((-5)/i). 3, 5 Let y be 5/(-4) - (19 + (-558)/24). Let x = 1 + 1. Suppose x*n + 5 = y*n, n = 3*w - 259. What are the prime factors of w? 2, 11 What are the prime factors of (74650/30)/(((-24)/(-32))/((-27)/(-6)))? 2, 5, 1493 Suppose -1474 = s + z - 413, 5*z = -s - 1049. Let d = s + 1560. List the prime factors of d. 2, 31 Let x(o) = -691*o**3 - o**2 + 7*o + 10. What are the prime factors of x(-1)? 3, 7, 11 Let b = -31272 + 89780. List the prime factors of b. 2, 14627 Let i be 14/4*(-27)/189*2. Let p be 212/(-7) - (-4)/14. List the prime factors of p/((-5)/(i - -6)). 2, 3, 5 Suppose 451 - 485 = -17*j. Suppose -4*m = 1 - 21. Suppose j*h + 886 = m*t - h, -5*t - 2*h + 876 = 0. What are the prime factors of t? 2, 11 Let m(p) = -8*p**3 + 11*p**2 - 38*p - 50. List the prime factors of m(-12). 2, 7907 Suppose 12 = -3*c + 4*r + 16, 3 = -3*r. What are the prime factors of -2 + c + -6 + 138? 2, 5, 13 Let o(m) = -30*m + 53 + 4 + 26*m - 36*m. List the prime factors of o(-8). 13, 29 Suppose o = -3*o. Suppose 10*q - 94 = 96. Suppose -29*z + 28*z + q = o. What are the prime factors of z? 19 Suppose 6*o - 632 = -4*b + 2*o, 312 = 2*b + o. Let z be (-4)/(-14) + (-44)/b. Suppose -4*t = -5*m - 57, -t - t + m + 27 = z. List the prime factors of t. 13 Suppose -3*q + 5*h + 35135 = 0, 0 = 2*h - 27 + 29. List the prime factors of q. 2, 5, 1171 Let c(x) = -637*x + 9044. List the prime factors of c(-57). 7, 11, 19, 31 Let d(n) = -n**2 - 12*n - 23. Let i be d(-10). Let q be (-6)/(i/18*36/(-20)). Let v = q - -82. What are the prime factors of v? 2, 31 Suppose 6*c = -12 + 162. Let i(q) = 3*q - 73. Let x be i(c). Suppose 267 = x*f + 59. What are the prime factors of f? 2, 13 Suppose 6 = -5*d - 3*n, 0 = d - 3*d - 5*n + 9. What are the prime factors of 1/((-11825)/(-5900) + 1 + d)? 2, 59 Suppose -5*s + 4*d = -127, 2*s = -0*d + 4*d + 58. Suppose 0 = 7*l + 2 - s. Suppose 23 = z - o, z + l*z - 116 = -4*o. What are the prime factors of z? 2, 13 Let g(n) = 9*n - 23. Let z be g(3). Suppose -h + 157 = z*c, 3*h + 4*c - 515 = 3*c. List the prime factors of h. 173 Suppose -24*w + 29*w = 2575. Let h = 9 - 6. Suppose -2*l - 4*g + w = l, g = -h*l + 518. What are the prime factors of l? 173 List the prime factors of (78156/65)/3*(24 - (3 + -4)). 2, 3, 5, 167 Suppose 0*f + 2*f - 5*b - 17078 = 0, -4*f = 2*b - 34228. What are the prime factors of f? 2, 7, 13, 47 What are the prime factors of 2994/(-12)*(-146 - -60)? 43, 499 Let m be -1 - (-298)/(-5)*(10 - 5). Let n = m + 456. What are the prime factors of n? 157 Let u(v) = v**2 + 22*v + 17. Suppose 0 = 4*a + 2 + 2, 39 = -2*t + 3*a. Let o be u(t). Let y(d) = 7*d**2 + 2*d + 8. What are the prime factors of y(o)? 2, 7 Suppose -15 = 4*b - b. Let z be (-432)/b + (-15)/(-25). Let q = 204 - z. What are the prime factors of q? 3, 13 Let d(g) = g**3 + 11*g**2 - 20*g - 54. Let z be d(-12). List the prime factors of (-6915)/(-18) - 7/z. 2, 3 Suppose 0 = 6*q - 7*q + 53. Suppose 0 = -48*k + q*k - 2005. List the prime factors of k. 401 Suppose -207 + 9307 = 7*l. Suppose l - 187 = 3*h. What are the prime factors of h? 7, 53 Suppose -q + 7448 = -2*z, -7*q = -10*q - z + 22351. List the prime factors of q. 2, 5, 149 Suppose 0 = 23*n + 45*n - 474572. What are the prime factors of n? 7, 997 Suppose -11 = 5*c - 46. Suppose -c*k = 501 - 1852. Let q = k + -126. List the prime factors of q. 67 Let m(b) = -b**3 + 17*b**2 + 14*b + 25. Let p be m(12). Let w = -400 + p. What are the prime factors of w? 3, 19 List the prime factors of ((-746436)/255)/(6/(-15)). 2, 3659 Let z be ((-22)/77)/((-1)/14). Let c be (-3)/(-12) - (-9)/(-4) - 6. What are the prime factors of (c/(-10))/(z/40)? 2 Let z = 48 - -15. Let v = 217 + z. What are the prime factors of v? 2, 5, 7 Let x(t) = 45*t**3 - 3*t**2 - t - 2. Let w be x(2). Suppose 354*i - w*i = 2640. List the prime factors of i. 2, 3, 11 Let x = -10331 + 43861. List the prime factors of x. 2, 5, 7, 479 Suppose 27*f - 32220 = 78264. Suppose -9*l = -3*l - f. What are the prime factors of l? 2, 11, 31 Suppose -b + 330 = -4*b. Suppose 16*o + s = 12*o - 153, -4*s = -3*o - 91. Let f = o - b. List the prime factors of f. 73 Let w(b) = -b**3 + 5*b**2 - 4*b + 4. Let g be w(2). Let q(l) = 75 + g*l - 12 - 10*l. List the prime factors of q(22). 19 Let y(m) = m - 17. Let r(a) = -a + 8. Let c(o) = 9*r(o) + 4*y(o). Let h be c(-5). Let k = h - -30. List the prime factors of k. 59 Suppose -5*y + 3*y = 408. Let a(w) = w**2 - 20*w - 456. Let h be a(-11). Let f = h - y. List the prime factors of f. 89 Let q be (-3 - ((-2)/1 - 4)) + -12. Let d(b) = 0 + 2 - 4*b**2 + 3*b**2 + 7*b + 3*b**2. What are the prime factors of d(q)? 101 Let h(t) be the first derivative of t**6/360 - t**5/120 + 41*t**4/8 + 14*t**3/3 + 11. Let g(q) be the third derivative of h(q). List the prime factors of g(0). 3, 41 List the prime factors of 4533 + 8 + -20 + 6. 3, 503 Suppose 563177 = -61*s + 3792212. What are the prime factors of s? 3, 5, 3529 Let p = 447 + -45. Let z = p + -186. Let r = z - 37. List the prime factors of r. 179 Suppose 4*t = -4*y + 169 - 65, -3*t = -5*y - 94. Suppose 0*g + 5*n - t = g, -g + 7 = 2*n. What are the prime factors of -8*3/(-72) - 221/g? 2, 37 Let j(z) = z**2 - 5*z - 19. Let g = -42 - -51. Let i be j(g). Let v = i + 21. List the prime factors of v. 2, 19 Let q(g) = 27*g**2 + 20*g - 189. List the prime factors of q(-42). 3, 7, 317 Let x = -2065 - -2995. Suppose -p = -2*v + 7, -3*v + 14 = -3*p + 2. Suppose -v*t = 3*t - x. What are the prime factors of t? 5, 31 Suppose -l - 5*m + 5041 = 0, 4*l - 3528 = m + 16573. What are the prime factors of l? 2, 7, 359 Let z(v) be the second derivative of v**5/10 - v**4/3 - v**3/6 - 3*v**2/2 - 11*v. Let t be z(3). Let o = 30 + t. List the prim
{ "pile_set_name": "DM Mathematics" }
*j + 6109 + 3422. Let f = a + -674. Is f composite? False Let c = -305386 - -521885. Is c composite? True Suppose 735*b - 356195 + 1998574 = 754*b. Is b prime? True Suppose -4 = -2*v - w, -10 = -6*w + 11*w. Suppose -7015 = -v*f + 4*c, -2*c - 8 = -0*c. Is f prime? True Let i = 35 + -35. Let h be 1 + 2 + i + 597 + -4. Is 1/(h/148 + -4) a prime number? True Let l(r) be the second derivative of -r**6/120 - r**5/12 - r**4/12 + 5*r**3/3 + 11*r**2/2 - 14*r. Let v(i) be the first derivative of l(i). Is v(-6) prime? False Let l(k) = -19*k + 39. Let f be l(-18). Suppose -2*j = -209 - f. Is j a composite number? True Suppose -11*p + 45 = -2*p. Suppose 0 = -3*q - 2*r + 25825, -q + 13116 = -p*r + 4502. Is q a prime number? True Let w(s) = 668*s - 16. Let f be w(-3). Let i = f - -1139. Let g = i - -2524. Is g prime? False Is 45/(-150) - 49719/(-30) a composite number? False Suppose 2*u - 21911 = -4*m + 161851, 4*u = -20. Is m composite? False Let b be (12668/(-8)*2)/(7/(-147)). Is ((-10)/(-2) + -2)/(9/b) prime? False Let l(k) be the first derivative of -k**4/4 + 17*k**2/2 + 19*k - 161. Is l(-10) prime? False Is 108851/(-38)*-39 + 5/(-2) a prime number? False Let s be 575*(144/15)/4. Suppose -3*x = -2*p - 5, -4*x = -5*p - 0*p - 9. Is (-30)/(-15) + p + s a prime number? True Suppose a + 2*r - 8 = 0, -a = 2*a - r + 11. Let m(k) be the third derivative of 19*k**5/60 - k**4/12 - k**3/2 - 2*k**2 - 20. Is m(a) prime? False Let g(m) = 87*m**3 + m**2 + 2*m - 7. Let l = -168 - -172. Is g(l) a prime number? False Is 3*(-11 + (-405574)/(-57)) prime? True Suppose 0 = -z + 14774 + 52017. Is z prime? True Let v(k) = 190*k**3 - 2*k**2 - k - 1. Let n be v(2). Let z = n + -296. Is 1/2*(z - -13) a prime number? True Suppose 0 = 4*v + 5*x - 18, -v = -4*v + 2*x + 2. Suppose -v*y - 3*l - 2217 = -5*y, -2*y + 1483 = 3*l. Let i = y + -91. Is i a composite number? True Let c = 97 + -44. Let n = c + -50. Suppose -3*l - 5*z + 1769 = 0, -n*z + z + 2923 = 5*l. Is l prime? False Let r = 22 - 22. Suppose 2*h = -5*i + 22, -i = 4*h - r*i - 8. Is 4*h + -1 - (-492 + 8) prime? True Let w = -134 + 74. Let q be (1/((-7)/w))/((-2)/(-14)). Suppose -642 + q = -3*p. Is p prime? False Let s = 3105 - -302. Is s composite? False Let l = -32818 - -71771. Is l a prime number? True Let s = 31136 + -22213. Is s composite? False Let b = -70725 - -206411. Is b a composite number? True Suppose 0 = -4*m + 3*h - 227 + 2, -2*m - 123 = -5*h. Let d = -65 - m. Let q(k) = -361*k + 10. Is q(d) composite? True Let f = 6536 + -4464. Let y = f - 1011. Is y a prime number? True Suppose -17*t + 5 + 539 = 0. Suppose 9*o - t*o + 114287 = 0. Is o a prime number? True Let c = -258 - -253. Is ((-2)/c)/(16/203960) prime? True Suppose -4082773 + 709812 = -107*c. Is c composite? True Let c(r) = r**3 - 5*r**2 - 2*r + 6. Let w be c(6). Suppose 5*j = 11*j - w. Suppose j*g - g - 652 = 0. Is g a prime number? True Let m = 2976 - -27135. Is m composite? True Let u(f) = -6*f - 7. Let h be u(-2). Suppose 12310 = -2*i + h*m, 6169 = -i - 5*m + 4*m. Is (-1)/(4 + i/1541) composite? True Is (-14 + 34 + -19)*1291 composite? False Suppose -3*i + 3886 = 2*z, 86*z = 91*z + 3*i - 9733. Is z a prime number? True Let d = -714 - -1202. Let l = d - -1691. Is l prime? True Suppose -82*p + 84*p - u - 23358 = 0, 2*p + 4*u = 23378. Is p composite? False Let p(t) = 18*t**2 + 9*t + 26. Let n(h) = h**2 + h + 1. Let q(w) = -5*n(w) + p(w). Let k(g) = g**2 - 34*g - 230. Let o be k(40). Is q(o) composite? False Let w(v) = -2*v**3 + 56*v**2 - 2*v + 61. Let n be w(28). Suppose 3*u = n*o + 13364, -3*u + 4*o = 2*u - 22295. Is u a prime number? True Suppose 48 - 43 = x. Suppose -3042 - 9815 = -c + n, 0 = x*n + 20. Is c a composite number? False Suppose -21*z + 4927452 - 42804 = 3*z. Is z prime? False Let w = 20092 + -11946. Is w a composite number? True Suppose 0 = 30*i - 28*i - 2, 2*i - 3332838 = 2*l. Is 46/(-437) + l/(-38) composite? False Suppose 3*y = -x + 432620, -5*y - 43*x + 39*x + 721017 = 0. Is y a prime number? False Let d be (4/(-5))/2 + 216/90. Suppose 4*m + d*v = 6834, 5*v - 5118 = -3*m + 2*v. Is m a composite number? True Let l(x) = 69*x**2 - 33*x - 67. Let o(q) = -q**2 + 23*q + 42. Let p be o(24). Is l(p) composite? True Let w(x) be the second derivative of 5*x**4/12 - x**3/6 - 15*x**2 + 27*x. Let s be w(10). Suppose -s = -b - 17. Is b composite? False Suppose -8*g + 93*q - 91*q = -2679366, 0 = q - 9. Is g composite? True Suppose 3*t + 319 = 2*o + 3*o, -2*o = -2*t - 126. Let d = o + 918. Is d a prime number? True Let b(v) = 2198*v + 457. Is b(20) prime? True Suppose -4*a + 1691 + 1957 = 0. Let u = 32 - a. Is 3 - (u - (7 - 3)) a composite number? False Let h(r) = 14*r - 31*r + 3 - 82*r. Let k be h(-6). Suppose -3*y = -0*y - s - k, 4*y = 5*s + 796. Is y a prime number? True Suppose -4*k - 20 = 6*q - q, -3*q - 12 = 5*k. Let c(l) = -1 + 263*l**2 + 16*l - 61*l**2 - 3*l - l. Is c(q) a composite number? True Let i(s) = s + 7*s**2 + 14*s**2 - s**3 + 4 + 0*s. Let h(g) = -54*g - 157. Let b be h(-3). Is i(b) a prime number? True Suppose -32*m - 5*m + 111 = 0. Suppose -10*z + c - 990 = -15*z, -m*z + 592 = c. Is z composite? False Let a(b) = 1433*b**3 - 6*b**2 + 37*b + 43. Is a(5) a prime number? True Let d(u) = -7039*u - 950. Is d(-9) a prime number? True Suppose 474*u - 28891120 = 43243622. Is u composite? False Is 153305/3 - (6 - (-224)/(-42)) prime? False Let h = -359 + 416. Suppose -h*u + 64*u = 8351. Is u prime? True Let z(n) be the first derivative of -169*n**2/2 - 2*n + 302. Let l be 2/6 - 10/3. Is z(l) composite? True Suppose 24*v = 61*v - 7521767. Is v prime? False Let v(b) = 4*b + 10. Let u be v(-2). Let s(y) = -8*y + 10. Let f be s(u). Is 2/(6/1166*f/(-9)) a prime number? False Let o be -6 - (-1 + 226*12). Let m = o - -11656. Is m a composite number? True Suppose 0 = 667*u - 660*u - 376411. Is u a composite number? False Let a(c) = 89861*c**3 - 2*c**2 - c + 3. Is a(1) composite? True Suppose -5*k = -c - 196589 + 43903, 61096 = 2*k + 5*c. Is k composite? True Let i(m) = 27*m**2 - 5*m - 9. Suppose 119 - 123 = 4*w. Let d(j) = 9*j - 2. Let u be d(w). Is i(u) composite? False Let a(b) = -5*b + 40. Suppose 0 = d + d - 14. Let s be a(d). Let z = s + 326. Is z a prime number? True Suppose 7*t = 6*t + 104. Let c(r) = -77*r - 1 - 252*r + t*r - 1. Is c(-1) composite? False Let s(d) be the third derivative of -1003*d**4/3 - 2*d**3/3 + 10*d**2. Let r be s(1). Is r/60*(-5)/1 prime? False Suppose -5066 = -2*i - 0*i - 2*g, 0 = 5*i - 2*g - 12686. Suppose 64*c + i = 72*c. Is c a prime number? True Is (39 - 180/27)/(1 + 48120/(-48123)) a prime number? False Suppose 94968 = -9*v + 4743. Let t = 14928 + v. Is t a composite number? False Is ((6 - 2349612/63)/(8/(-28)))/1 a prime number? True Let f be (75/(-10))/((-6)/9872). Is 5*(-4)/(-2)*f/40 a composite number? True Suppose 4*c - 2*s = 18, -29*c + 2*s = -24*c - 20. Suppose 4*b + c*j - 8386 = 0, j - 4*j = -5*b + 10510. Is b prime? True Let c = -73 - -76. Let f(y) = 11*y**c - 8*y**3 - 7*y**2 + 10*y - 3 - 6. Is f(4) a prime number? False Suppose -4*a + 4*h + 464591 = 5*h, 0 = -5*a + 4*h + 580723. Is a prime? False Let h = -732 - 373. Suppose 0 = 3*w - 7*w - 2268. Let b = w - h. Is b prime? False Let l = -31 + 41. Let s(r) = -42*r**3 + l*r + 1 + 41*r**3 - 3*r - 8*r**2. Is s(-9) a prime number? True Suppose -12*o + 733 = -311. Suppose 82*u + 162335 = o*u. Is u a prime number? True Let p = 49 + -46. Suppose -h + p*h = -c + 8402, 0 = -h - 5*c + 4201. Is h prime? True Let a(p) = 166*p**2 - 20*p - 188. Is a(-9) a prime number? False Let l(x) = 139*x**3 - 13*x**2 + 13*x - 115. Is l(6) composite? True Let v(p) = 287*p**2 + 2*p - 2. Let o(b) = 0*b**2 + b**3 + 5 - 2975*b + 2970*b - 3*b**2. Let z be o(4). Is v(z) composite? True Let q = 66 - 67. Let c be 3457 + q + -2 + 7. Suppose -4*y - n + 2319 = -441, 4*n = -5*y + c. Is y prime? False Suppose 0 = 6*r + 305 - 329. Suppose -r*z - 4*w = -13428, 3*z + 3873 = w + 13952. Is z a prime number? True Is ((-2188077)/(-2))/(1968/1312) a prime number? True Let g(j) = -1838*j + 479. Is g(-25) a composite number? True Let u = -122 + 120. Is -3 + (320/2 - u) a composite number? True Let z = -3232 + 38103. Is z a prime number? True Suppose -3*m - 375 = 3*g, 5*m + 37 = -4*g - 592. Is m/86 - 40538
{ "pile_set_name": "DM Mathematics" }
(a) 0.5 (b) z (c) -1 c Let o be 128/112 - 4/14. Which is the third smallest value? (a) -1/3 (b) -0.8 (c) o c Let z = -0.1 + 7.1. Let c = 1.6 - 12.6. Let n = z + c. What is the biggest value in n, 2, 1/7? 2 Let i = -1.6 + 1.7. Let p = -0.2 + i. What is the biggest value in 6, 1, p? 6 Let t be ((-21)/10 + 2)*-2. Let p be (-2)/(-5) + 2/(-30). Suppose 5*c - 21 = -g + 5*g, 0 = 3*c + 3*g + 9. What is the second biggest value in t, p, c? p Let i = 61 + -56. Which is the smallest value? (a) i (b) -1/4 (c) -1 (d) 0.4 c Suppose 5 = 4*t - 27. Let x = t - 3. What is the biggest value in x, 0.2, 0.4? x Let a be (2 - 3 - 0) + 5. Let f be ((-8)/(-6))/(a/(-6)). Let j = -1 - -1.4. What is the smallest value in -0.2, f, j? f Let q = 76 + -78. Which is the biggest value? (a) q (b) -1/3 (c) 0.2 c Let n be (-1)/((-10)/(-36)) - (-18)/(-45). Which is the second biggest value? (a) 0 (b) 1/2 (c) 8 (d) n b Let j = -20 + 16. Let o = -4 + 6. Which is the biggest value? (a) 3 (b) o (c) j a Let x = -3.1 + 5.2. Let s = 2 - x. Let o(k) = k**2 + 4*k + 3. Let m be o(-4). Which is the second smallest value? (a) m (b) s (c) -2 b Let i(q) = q**3 - 4*q**2 - 10*q - 9. Let t be i(6). Which is the second biggest value? (a) -2/7 (b) 0 (c) -5 (d) t b Let s be -1*2 + 4676/(-35). Let b = s - -136. What is the second smallest value in -4, b, 2? b Let f = 0.009 - 0.069. What is the third biggest value in -4, f, 0.2? -4 Let y = 26 - 55/2. Let l be (38/(-18) - -2)/(-1). Let v = 33 + -29. Which is the smallest value? (a) v (b) l (c) y c Let i = -56 + 36.1. Let q = i + 19. Let h = 3.1 - q. Which is the third biggest value? (a) 0 (b) 3 (c) h a Let i = -5 - 0. Let q be 1 + (8/(-1))/(-2). Let x = -7 + q. Which is the third biggest value? (a) i (b) x (c) -0.2 a Let n(h) = -61*h + 1. Let k be n(-4). Let l = k + -5143/21. Which is the second smallest value? (a) -5 (b) -3 (c) l b Let t = -19 - -17. Let i = 4 - -1. Which is the second biggest value? (a) i (b) t (c) 4 c Let n(m) = m**3 - m**2. Let r be n(1). Let o = 33 - 34. Which is the second smallest value? (a) 2 (b) o (c) r c Suppose -99*p = -97*p + 8. Let x = -34 + 237/7. Which is the second smallest value? (a) x (b) p (c) 2 a Let o = 0.591 - 0.191. What is the third biggest value in -1/8, o, 0? -1/8 Let i(f) = f + 12. Let d be i(-15). What is the second biggest value in -0.5, -0.3, d? -0.5 Let z = 12 - 8. Let g be ((-68)/(-84) + -1)/2. What is the third smallest value in z, g, -0.1? z Let s = 3 + -5. Suppose 0 = 8*y - 4*y + 96. Let k be y/110 - (-6)/15. Which is the smallest value? (a) -3 (b) k (c) s a Let h = 5 + -8. Which is the biggest value? (a) 0.2 (b) h (c) 1/19 a Let b = 0.1 - 0.2. Let o = -0.1 - b. Let w = 0.462 - 0.062. What is the third biggest value in 2, w, o? o Let q = 0.2 - -2.8. Let r = q + -14. Let j = r + 7. Which is the third smallest value? (a) j (b) 1 (c) 0 b Let k = 4.5 - 3. Let q = k + -1.8. Let r = -5.04 - -0.04. What is the second biggest value in q, -1/10, r? q Let l = -131/183 + 3/61. Let n be 5/10 - 17/42. What is the smallest value in l, n, 0.5? l Let c(z) = -z**3 + 3*z**2 + 8*z + 7. Let m be c(5). What is the third biggest value in m, 0.3, -7? -7 Let k = 13.08 - 0.08. Let r = k - 10. Let z = 2 + -4. Which is the third smallest value? (a) -0.1 (b) r (c) z b Suppose -2*b = 2*b + 5*c - 26, b = 2*c. Suppose -4*q + 2*g = -1 - 5, -4*g = q + 12. What is the smallest value in q, b, -3/2? -3/2 Let w = 7 - 7. Let t be w + (-1 - 42/(-4)). Let o = t - 243/26. What is the third biggest value in -0.5, -0.1, o? -0.5 Suppose -3*m + 2*w + 25 = 0, 0 = -4*w + 5 - 25. Which is the second biggest value? (a) 0 (b) -2/9 (c) m a Let f = -0.2 - 0. Let j = -2 + 1.5. Let t = -3 - -31/11. Which is the biggest value? (a) j (b) t (c) f b Suppose 0*g + 12 = 3*g. Suppose -3*k + g = -2*k. Let s be 26/56 - 4/(-14). What is the third biggest value in s, -1/2, k? -1/2 Let c = -0.7 - -0.5. Let x = 0.8 - c. What is the third biggest value in 0.2, x, 2/5? 0.2 Let i = -0.039 + 0.039. What is the third smallest value in -0.5, i, 3/5? 3/5 Let x = -0.51 - -0.11. Let r be 1/(-1*3*-1). Which is the biggest value? (a) r (b) x (c) 2/13 a Let r = -113 + 103. Which is the fourth smallest value? (a) -0.4 (b) -1/2 (c) r (d) 0.5 d Let s = -10 - -4. Let k be s/(-45) + (-44)/105. What is the second biggest value in -0.5, k, -2/3? -0.5 Suppose 4*s - 3 = 3*a - 9, 3*s - 1 = 5*a. What is the fourth smallest value in 5, 3/2, -1/2, s? 5 Let b = -100 + 100. What is the biggest value in 3, -8, b? 3 Let d(z) = -3*z**2 - 8 + 12 + 2*z**2 + 9*z. Let x be d(9). What is the biggest value in -1, 0.4, x? x Let l = 4.9 + 7.1. Which is the smallest value? (a) -0.1 (b) 1 (c) -0.2 (d) l c Let l = 117 - 117. Let v = 0.17 + 0.73. Let o = 0.1 + v. Which is the third biggest value? (a) o (b) l (c) -1/3 c Let p(u) = u**3 - 2*u**2 - 5*u - 8. Let w be p(4). Which is the third smallest value? (a) w (b) 0.5 (c) -2 a Let x be 4 + (-22)/4*1. Suppose -4*m + 12 = -o, 0 - 2 = 3*m + 2*o. Let c be ((-6)/(-2))/(m - 3). What is the third smallest value in c, x, 1? 1 Let k = -17/90 - -1/18. Let x = 80 + -641/8. Let f = -2 + 1.5. What is the smallest value in k, f, x? f Let n(b) = -b - 8. Let l be n(-7). What is the smallest value in -0.5, 0.4, l? l Let v = -14.06 + 14. Let r = 3 - -1. Which is the third smallest value? (a) v (b) 1/2 (c) r c Let r be (-2 + -1)/(15/20). Let q = 6 - 11. Which is the biggest value? (a) r (b) -3 (c) q b Let p = -19 - -17. Which is the biggest value? (a) p (b) 2/5 (c) -4 b Let d = -9.4 - -9.46. Which is the third smallest value? (a) d (b) 0.1 (c) 3 c Let h be (-270)/171 - (0 - 2). Let g = 73/38 - h. Which is the third biggest value? (a) -1/3 (b) g (c) 3/5 a Let a = -0.98 - -0.9. Let o = a - 0.02. What is the third biggest value in o, 1/6, -6? -6 Let w = -10.4 + 1.4. Let o = -8 - w. Which is the biggest value? (a) -0.5 (b) o (c) 5 c Suppose 4*h + 3*l - 4 = 22, 0 = 5*l - 10. Which is the biggest value? (a) h (b) -0.1 (c) 2/7 a Let j be (-94)/(-16) + (-1)/(-8). Which is the smallest value? (a) -3 (b) j (c) -4/9 a Let t = 0.068 + -1.068. Which is the biggest value? (a) 0 (b) -3 (c) t a Let n = -8.5 + 8. Let p be (-6)/5*3/(-6). What is the second smallest value in n, 2, p? p Let s = -20/19 + 137/76. Which is the biggest value? (a) s (b) 2/5 (c) 2/9 (d) 1/4 a Let d = -39 - -34. What is the biggest value in d, -3/5, -0.1, -1/2? -0.1 Let n = -16 - -15.93. Let z = -0.07 - n. Which is the second biggest value? (a) 2/5 (b) z (c) -5 b Suppose 4*b + 5*f - 3*f = -8, b + 4*f - 12 = 0. Let s(p) = -p**2 + 2. Let k be s(2). Let y = k - -1. What is the third biggest value in b, -3, y? b Let i = -1.4 + 1.3. Let p = 0.4 - i. Which is the second biggest value? (a) p (b) -1 (c) -0.5 c Let g = 2.9 + 0.1. What is the third smallest value in -4, 2/25, g? g Let u = -2 - -5. Which is the second smallest value? (a) -0.5 (b) u (c) -3 a Let g = 60 + -60.2. Which is the smallest value? (a) g (b) -1 (c) -5 (d) -3/5 c Let p(c) = c**2 - 13*c + 11. Let a be p(12). Let z be (a - 0/(-1))/9. What is the third smallest value in 2, z, -2/13? 2 Let i = -53/3 - -17. Let k = -1.87 + 6.87. Which is the smallest value? (a) i (b) k (c) 2 a Let s(g) = -2*g**2 - g. Let k be s(-5). Let d = -30 - k. Suppose 0*x = 3*x + d. What is the biggest value in 1, 0.3, x? 1 Let r = 5.06 + -0.06. Let i = 1.2 + -1. Which is the second smallest value? (a) i (b) r (c) -0.5 a Suppose 0 = 4*v - 10 + 2. Suppose v*n - 4*n = -2. Let o = -1.7 - 2.3. What is the third smallest value in n, o, 0? n Suppose 2*h = 2*y + h + 6, -3*y = 3*h - 9. Let f be (0 - y - 1) + 2. Let q be f/6*3/5. Which is the third biggest value? (a) -0.1 (b) q (c) -4 c Suppose 6 = 4*i + 58. Let z = i - -7. Let v = 17 - 12. What is the third smallest value in 2/9, v, z? v Let p = -10 - -13. Let n = 21/34 + -2/17. Which is the third smallest value? (a) n (b) -1/5 (c) p c Suppose x + 4*x - 5*q = 35, -4*x + q + 34 = 0. Let i be 1 - (-1 + 16/x). Let z = -5.3 - -0.3. Which is the biggest value? (a) i (b) -2 (c) z a Let y = 2.7 + 0.3. Let j = -0.03 + -0.97. What is the third smallest value in 2/7, y, j? y Let v = -30 - -28. What is the third smal
{ "pile_set_name": "DM Mathematics" }
**3 + 65448*m**2 + 74880*m = 0. -1, 0, 15, 26, 48 Solve -48*c**5 + 7196*c**4 - 13598*c**3 - 2682*c**2 + 2660*c + 592 = 0. -1/3, -1/4, 1/2, 2, 148 Suppose 4*i**4 - 60*i**3 - 17480*i**2 + 240*i + 69856 = 0. Calculate i. -59, -2, 2, 74 Determine v, given that -v**2 - 1133*v - 7882 = 0. -1126, -7 Find x such that -5*x**2 + 23420*x - 27424820 = 0. 2342 What is t in t**3/2 - 2029*t**2/2 + 1015895*t/2 + 13551733/2 = 0? -13, 1021 Factor -l**3 + 206*l**2 + 11000*l. -l*(l - 250)*(l + 44) Let -3*r**5 + 3363*r**4 - 960801*r**3 + 10271469*r**2 - 29663640*r + 25874100 = 0. Calculate r. 2, 7, 555 Factor -2*b**2 - 49642*b - 49640. -2*(b + 1)*(b + 24820) Factor -2*g**2/9 + 16*g/3 + 306. -2*(g - 51)*(g + 27)/9 What is l in 3*l**2 - 293790*l + 7192713675 = 0? 48965 Factor 5*r**2 - 1565*r - 17820. 5*(r - 324)*(r + 11) Factor y**4 + 42592*y**3 + 85181*y**2 + 42590*y. y*(y + 1)**2*(y + 42590) Factor -2*q**2 + 354*q + 3740. -2*(q - 187)*(q + 10) Let -4*o**3 + 53564*o**2 + 53568*o = 0. What is o? -1, 0, 13392 Suppose -2*z**4/17 - 7562*z**3/17 - 7372916*z**2/17 - 421609920*z/17 + 428990400/17 = 0. Calculate z. -1860, -62, 1 Let -2*f**4 + 108*f**3 + 1130*f**2 + 348*f - 6048 = 0. What is f? -8, -3, 2, 63 Let -4*o**5 - 23328*o**4 - 233024*o**3 - 838592*o**2 - 1304256*o - 745216 = 0. What is o? -5822, -4, -2 Factor 2*k**4 + 100*k**3 - 1528*k**2 + 6780*k - 9450. 2*(k - 5)**2*(k - 3)*(k + 63) Factor -b**2/5 + 267*b/5 - 1566/5. -(b - 261)*(b - 6)/5 Find o, given that 5*o**2 + 430195*o - 2581350 = 0. -86045, 6 What is x in -x**3/3 + 122*x**2/3 + 2381*x/3 - 834 = 0? -18, 1, 139 Suppose 2*g**3/3 - 11804*g**2/3 - 450718*g/3 - 1429560 = 0. What is g? -19, 5940 Factor 4*d**3 + 156584*d**2 + 1532252720*d - 3065131808. 4*(d - 2)*(d + 19574)**2 Factor -2*x**2/17 - 3092*x/17 - 39858/17. -2*(x + 13)*(x + 1533)/17 Find c such that -2*c**5/3 + 1320*c**4 - 129074*c**3/3 + 371356*c**2 - 746624*c/3 - 664576 = 0. -1, 2, 16, 1947 Factor -2*j**5 - 1844*j**4 - 426880*j**3 - 846400*j**2. -2*j**2*(j + 2)*(j + 460)**2 Factor -2*x**3/9 - 24166*x**2/9 - 96640*x/9 - 96632/9. -2*(x + 2)**2*(x + 12079)/9 Factor -2*u**3/7 + 7146*u**2/7 - 42822*u/7 + 64206/7. -2*(u - 3567)*(u - 3)**2/7 Factor -m**2 - 307*m - 17710. -(m + 77)*(m + 230) Factor 7062*k**3 - 28257*k**2 - 35274*k + 45. 3*(k - 5)*(k + 1)*(2354*k - 3) What is s in 2*s**5/15 - 2*s**4/5 - 4436*s**3/15 - 880*s**2 = 0? -44, -3, 0, 50 Let 4*a**4/5 - 5884*a**3/5 - 10644*a**2 - 88772*a/5 - 8288 = 0. Calculate a. -7, -1, 1480 Find d, given that -6*d**5 + 4677*d**4 + 534450*d**3 + 1829535*d**2 + 1817796*d + 518028 = 0. -98, -2, -1, -1/2, 881 Let -c**2 - 2078*c + 8328 = 0. Calculate c. -2082, 4 Factor 2*o**2/11 + 1018088*o/11 + 129562896968/11. 2*(o + 254522)**2/11 Factor -4*s**2/5 - 123004*s/5. -4*s*(s + 30751)/5 Solve -p**4/4 - 141*p**3/4 + 437*p**2/2 - 294*p = 0. -147, 0, 2, 4 Factor x**3/6 - 3751*x**2/6 - 30136*x/3. x*(x - 3767)*(x + 16)/6 Determine i so that -4*i**4 + 95*i**3 - 322*i**2 - 795*i + 1026 = 0. -9/4, 1, 6, 19 Factor -3*a**2 + 21342*a. -3*a*(a - 7114) Factor 51*l**2/2 - 156*l - 414. 3*(l + 2)*(17*l - 138)/2 Find h such that h**4/5 + 66*h**3/5 + 253*h**2/5 + 312*h/5 + 124/5 = 0. -62, -2, -1 Determine r so that 5*r**3 + 4585*r**2 + 9155*r + 4575 = 0. -915, -1 Solve 5*p**4 + 67585*p**3 + 337730*p**2 - 945840*p = 0. -13512, -7, 0, 2 Find b such that 4*b**3/7 + 16412*b**2/7 - 4*b/7 - 16412/7 = 0. -4103, -1, 1 Factor 3*a**2 - 54219*a + 162630. 3*(a - 18070)*(a - 3) Factor -4*u**3 + 2533008*u**2. -4*u**2*(u - 633252) Let -2*t**4 - 1538*t**3 - 220752*t**2 - 11659648*t - 211090432 = 0. Calculate t. -601, -56 Determine h, given that -9430587*h**2/4 - 707427*h/2 - 53067/4 = 0. -133/1773 What is k in -k**5/6 - 5*k**4/6 + 4*k**3/3 + 2*k**2 = 0? -6, -1, 0, 2 Let 2*u**4/11 - 368944*u**3/11 + 2062408140*u**2 - 464989851529056*u/11 - 465012538387542/11 = 0. What is u? -1, 61491 Let 15*n**5/8 + 1043*n**4/8 + 1553*n**3/8 - 771*n**2/8 - 196*n - 34 = 0. What is n? -68, -4/3, -1, -1/5, 1 Let -u**3 + 31*u**2 - 268*u + 420 = 0. What is u? 2, 14, 15 Determine q so that -3*q**2 - 252189*q/5 + 100878/5 = 0. -16813, 2/5 Factor -3*q**2 + 81*q - 528. -3*(q - 16)*(q - 11) Factor -3*g**3 + 2406683*g**2/2 - 120669130190*g - 40223110249/2. -(g - 200557)**2*(6*g + 1)/2 Factor 3*j**2 + 75213*j - 451386. 3*(j - 6)*(j + 25077) Determine q, given that 2*q**3 + 3372*q**2 + 53568*q + 213760 = 0. -1670, -8 Factor 4*j**2 - 312*j + 1460. 4*(j - 73)*(j - 5) Determine g, given that -5*g**4/3 + 132785*g**3/3 - 265530*g**2 + 1593100*g/3 - 1062040/3 = 0. 2, 26551 Factor -4*p**2/7 - 154064*p/7 + 308144/7. -4*(p - 2)*(p + 38518)/7 Factor 3*a**4/5 - 348*a**3 + 297648*a**2/5 - 5932608*a/5 - 1600725504/5. 3*(a - 212)**3*(a + 56)/5 Determine x, given that -31822*x**3/13 - 9260*x**2/13 - 48*x/13 = 0. -2/7, -12/2273, 0 Factor v**2 - 2104*v + 4204. (v - 2102)*(v - 2) Find q such that -3*q**3/7 + 1136598*q**2/7 - 107655721056*q/7 + 215306895744/7 = 0. 2, 189432 Solve 25*w**5 - 135*w**4 - 2800*w**3 + 13640*w**2 + 30000*w - 14000 = 0 for w. -10, -2, 2/5, 7, 10 Find v such that -2*v**3/5 + 1304*v**2/5 + 11918*v/5 - 2644 = 0. -10, 1, 661 Factor 9800*f**3/3 - 108430*f**2/3 + 95304*f + 26136. 2*(4*f + 1)*(35*f - 198)**2/3 Factor 3*g**3/8 + 81*g**2/2 + 972*g. 3*g*(g + 36)*(g + 72)/8 Factor 4*z**2 + 193028*z - 772176. 4*(z - 4)*(z + 48261) Solve -2*p**3/13 - 1064*p**2/13 - 153416*p/13 - 3096768/13 = 0 for p. -254, -24 Solve -5*m**2 + 630*m - 2440 = 0. 4, 122 Suppose 6514*l**3 - 13040*l**2 + 24*l = 0. Calculate l. 0, 6/3257, 2 Let -z**2/5 - 144*z/5 + 18841/5 = 0. Calculate z. -227, 83 Let 2*x**3/13 + 3386*x**2/13 - 201434*x/13 + 2945182/13 = 0. What is x? -1751, 29 Factor 5*u**3 + 130565*u**2 - 5*u - 130565. 5*(u - 1)*(u + 1)*(u + 26113) Find g such that -1722845*g**4 + 3199150*g**3 + 484260*g**2 + 17640*g = 0. -42/587, 0, 2 Factor p**4/4 + 19*p**3/4 + p**2/2 - 160*p - 408. (p - 6)*(p + 4)**2*(p + 17)/4 Factor -2*q**3/21 + 506*q**2/3 - 202306*q/7 + 9139110/7. -2*(q - 1585)*(q - 93)**2/21 Factor -2*w**2/21 - 12112*w - 254350/21. -2*(w + 1)*(w + 127175)/21 Solve 10*p**5 - 4592*p**4 + 888*p**3 + 13756*p**2 + 6430*p - 1836 = 0. -1, 1/5, 2, 459 What is t in 2*t**2/9 - 2480132*t/9 + 768881842178/9 = 0? 620033 Find p, given that -4*p**2 + 748*p + 190656 = 0. -144, 331 Factor -3*y**3 - 688*y**2 - 1364*y. -y*(y + 2)*(3*y + 682) Factor -q**5 - 13*q**4 + 16*q**3 + 28*q**2. -q**2*(q - 2)*(q + 1)*(q + 14) Determine s, given that 4230*s**5 + 12693*s**4 + 12699*s**3 + 4239*s**2 + 3*s = 0. -1, -1/1410, 0 Factor 2*v**3/13 + 916*v**2/13 + 76600*v/13 + 1790000/13. 2*(v + 50)**2*(v + 358)/13 Factor -2*n**4 + 131*n**3 + 1214*n**2 + 3220*n + 2664. -(n - 74)*(n + 2)**2*(2*n + 9) Determine r, given that 5*r**3 - 80845*r**2 + 323320*r - 323300 = 0. 2, 16165 Determine v, given that -15*v**2 + 25690*v - 68400 = 0. 8/3, 1710 Factor 6*v**2/5 + 314322*v/5 - 628668/5. 6*(v - 2)*(v + 52389)/5 Factor -4*k**2 - 2612*k - 5208. -4*(k + 2)*(k + 651) Determine m so that 3*m**2/8 - 33*m/4 + 315/8 = 0. 7, 15 Factor 4*d**2 + 1044*d - 21280. 4*(d - 19)*(d + 280) What is u in -u**4/5 - 1111*u**3/5 + 3348*u**2/5 + 6676*u/5 - 8912/5 = 0? -1114, -2, 1, 4 Solve j**2 + 28*j - 165 = 0. -33, 5 Let -3*y**2 + 1635*y - 61992 = 0. Calculate y. 41, 504 Find m, given that 3*m**2/5 - 6897*m/5 - 1380 = 0. -1, 2300 Find b such that 18*b**2 + 62283*b + 10380 = 0. -3460, -1/6 Let -g**4/6 - 3131*g**3/6 - 544446*g**2 - 189103896*g + 189648864 = 0. What is g? -1044, 1 Find z such that z**2 + 12261*z = 0. -12261, 0 Find k such that 3*k**2/8 + 861*k - 3450 = 0. -2300, 4 Solve 4*i**4 - 886616*i**3 + 49130495716*i**2 = 0. 0, 110827 Factor 5*h**2 - 355*h + 6150. 5*(h - 41)*(h - 30) Suppose 3*d**5 + 90*d**4 - 1164*d**3 - 25704*d**2 = 0. What is d? -34, -14, 0, 18 Factor t**4 + 158*t**3 + 7308*t**2 + 134946*t + 879795. (t + 21)**3*(t + 95) Solve -2*b**3/17 + 322*b**2/17 + 36490*b/17 + 816966/17 = 0 for b. -41, 243 Solve -2*k**2 - 74712*k - 697735368 = 0 for k. -18678 Suppose -2*v**4/5 - 356*v**3 - 3552*v**2/5 = 0. Calculate v. -888, -2, 0 Solve -54*y**3 + 11607*y**2 + 60045*y + 3300 = 0. -5, -1/18, 220 Suppose 4*n**5/7 - 116*n**4/7 + 1156*n**3/7 - 4652*n**2/7 + 7480*n/7 - 3872/7 = 0. What is n? 1, 2, 4, 11 Let -z**3/2 - 7908*z**2 - 31268232*z = 0. Calculate z. -7908, 0 F
{ "pile_set_name": "DM Mathematics" }
0 + 0*m**2 - 1/4*m**4 + 0*m**6 + 5*m + 0*m**3 + 0*m**5 + 3/14*m**7. Find the third derivative of i(h) wrt h. 540*h**2 Let o(b) = 11*b**3 - 2*b**2 - b - 34. Let p(s) = -21*s**3 + 4*s**2 + 2*s + 68. Let w(m) = 7*o(m) + 4*p(m). What is the second derivative of w(d) wrt d? -42*d + 4 Let v(r) be the first derivative of 1/2*r**2 + 0*r**4 + 3/5*r**5 + 1 + 0*r**3 + 0*r. Find the second derivative of v(k) wrt k. 36*k**2 Let l(y) = -y**6 - y**3 - y. Let z(w) = -5*w**6 - 3*w**3 - 11*w**2 - 3*w. Let p(j) = 3*l(j) - z(j). What is the third derivative of p(f) wrt f? 240*f**3 Let c = 23 - 19. What is the third derivative of -k**2 + c*k**5 - 4*k**5 + 3*k**5 - 5*k**2 wrt k? 180*k**2 What is the first derivative of 14*c - 3 + 4*c - 2*c wrt c? 16 Let d(n) be the second derivative of -3*n**5/5 - 27*n**2/2 + 15*n. Differentiate d(o) wrt o. -36*o**2 What is the first derivative of 54 + 5*j**4 + 2*j**2 + 47*j**3 - 47*j**3 wrt j? 20*j**3 + 4*j Let c = 6 + -4. Find the third derivative of -y**c - y**2 - y**3 + 5*y**2 + 0*y**3 wrt y. -6 Suppose -2*x = 1 - 5. Let u be 4 + -1 - (x - 1). Differentiate 4*q**u - 2*q**4 + 4 - 4*q**2 with respect to q. -8*q**3 Suppose -3*s + 4*h = 6, 0 = 2*s - 5*h + 3*h + 2. Find the third derivative of -v**2 - v**s + v**6 - 2*v**6 wrt v. -120*v**3 What is the first derivative of 33 - 16 - 62 - 9*h**2 wrt h? -18*h Suppose 2*b - 4 = 4. Differentiate -3*q**b - 5 + 4 + 6*q**4 wrt q. 12*q**3 Differentiate 55 + 22*b**2 - 13 - 30 wrt b. 44*b Let p(x) be the third derivative of x**9/168 + x**6/15 + x**5/20 - x**4/12 + 13*x**2. What is the third derivative of p(q) wrt q? 360*q**3 + 48 Let l(n) be the second derivative of n**4/12 + 7*n**3/6 + 4*n**2 + 2*n. Let b be l(-6). Find the first derivative of 2 + 3*q**3 - 4*q**3 - q**3 - b*q**3 wrt q. -12*q**2 Let w(c) be the first derivative of 0*c + 0*c**2 + 2 - 1/4*c**4 - 2/3*c**3. Find the third derivative of w(q) wrt q. -6 Let r be (-1 + 0 - -2) + -1. Let y(d) be the first derivative of -6*d**3 + r - 3 - d**2 + 5*d**3. What is the second derivative of y(q) wrt q? -6 Let s(c) be the first derivative of -c**6/3 - c**4/4 - 8*c**3 - 54. What is the third derivative of s(a) wrt a? -120*a**2 - 6 Let l = 5 + -3. Suppose 0 = 3*r - r. What is the third derivative of l*v**2 + 0*v**4 + 2*v**4 + r*v**4 wrt v? 48*v Let w(i) be the third derivative of i**5/30 - 47*i**3/6 + 27*i**2. Differentiate w(z) wrt z. 4*z Find the third derivative of -903*w**6 + 937*w**6 - w**4 + 13*w**2 + w**4 wrt w. 4080*w**3 Let n(k) = 3*k + 2. Let a(s) = -s - 1. Let r(j) = -17*a(j) - 6*n(j). Let g be r(3). Differentiate -2 - 5*m**g + 0 + 3*m**2 wrt m. -4*m Let t(v) = -v + 1. Let d(o) = -3*o + 3. Suppose 4*m = -2*s - 7 - 1, -3*s - 6 = 0. Let z(g) = m*d(g) + 4*t(g). Differentiate z(u) with respect to u. -1 Let g(c) be the third derivative of -19*c**7/210 + 17*c**3/6 + 6*c**2. Find the first derivative of g(a) wrt a. -76*a**3 Let h(i) be the second derivative of -i**4/4 - 7*i**3/6 + 12*i. What is the second derivative of h(j) wrt j? -6 Find the third derivative of -3 - 2*p**3 - 8*p**2 + 121*p**4 - 107*p**4 - p**3 + p**2 wrt p. 336*p - 18 Let m(s) = s**3 + 3*s + 8. Let w(b) = -2*b**3 - 4*b - 8. Let q(n) = -4*m(n) - 3*w(n). Find the first derivative of q(v) wrt v. 6*v**2 Let c(t) be the first derivative of -7*t**5/120 + 3*t**4/8 - 4*t**3/3 + 2. Let r(m) be the third derivative of c(m). What is the derivative of r(a) wrt a? -7 Let r be (-12)/42 + 30/7. Let u = 16 + -8. Find the first derivative of -2*g**r + 2 + 8*g - u*g wrt g. -8*g**3 Suppose 0 = -4*a + a + 15. Suppose 0 = 3*c + 3*o - 6, -2*c + 3 = -a*o - 1. What is the third derivative of -l**4 + 0 - c*l**2 + 0 wrt l? -24*l Let i(b) = b**3 - b**2 - 5*b + 3. Let t be i(3). Suppose -2 = -2*j + t. Find the second derivative of u + 5*u**2 - j*u**2 - 2*u**2 wrt u. -2 Let y(l) = 6*l**2. Let d(i) = -i**2 + 6*i - 6. Let k be d(5). Let r(x) = -1. Let s(t) = k*y(t) - 3*r(t). Differentiate s(h) with respect to h. -12*h Let c(r) be the second derivative of r**6/2 + 11*r**4/12 - 16*r. Find the third derivative of c(w) wrt w. 360*w Let s(q) be the second derivative of 0*q**5 + 0 + 5/42*q**7 + 1/6*q**4 + 0*q**3 + 0*q**2 - 2*q + 0*q**6. What is the third derivative of s(f) wrt f? 300*f**2 Let y(m) = 6*m**2 - 2*m + 1. Let q be y(1). Find the second derivative of -q*k**4 + 3*k - k + 9*k**4 wrt k. 48*k**2 Suppose -5*d - 5 = 3*k, -d + 12 = -2*k - 0*k. Find the second derivative of -p + 6*p - d*p**4 - 4*p wrt p. -24*p**2 What is the second derivative of q**3 + 25*q**2 + 6*q - 25*q**2 wrt q? 6*q Let m(p) = -3*p**5 - 2*p**3 - 2*p**2 - 4*p. Let n(y) = 12*y**5 + 9*y**3 + 9*y**2 + 17*y. Let w(d) = 18*m(d) + 4*n(d). Find the second derivative of w(b) wrt b. -120*b**3 Let x = 6 + -3. Suppose l + x*l - 20 = 0. What is the second derivative of q**2 - q**2 + q - q**l wrt q? -20*q**3 Let q(y) be the third derivative of -3*y**7/35 - y**6/60 + 13*y**3/2 - 31*y**2. Differentiate q(a) wrt a. -72*a**3 - 6*a**2 Suppose 2*t + 4 = 5*c, -2*c + 5*t - 7 = 2*c. What is the derivative of -3 - 1 - j**c + 2 + 4 wrt j? -2*j Let n(b) = b**2 + 3*b + 4. Let d be n(-3). What is the second derivative of 0*a**d - 4*a**4 - 4*a + 2*a wrt a? -48*a**2 Let a(i) be the third derivative of 0*i**3 + 0 - 1/120*i**6 + 0*i**5 - i**2 + 1/8*i**4 + 0*i. Find the second derivative of a(l) wrt l. -6*l Let n be 3 + (0 + 3)/3. Differentiate w**2 - 2 + 0*w**2 - 4*w**n - w**2 with respect to w. -16*w**3 Let y(a) = 18*a**2 + 4*a + 33. Let j(f) = 36*f**2 + 7*f + 65. Let w(t) = -4*j(t) + 7*y(t). What is the first derivative of w(z) wrt z? -36*z Let l(v) = -v**2 - 11*v + 5. Let w = -7 + 4. Let m(u) = u**2 + 6*u - 3. Let k(d) = w*l(d) - 5*m(d). Find the second derivative of k(o) wrt o. -4 Let g = 8 - 3. What is the second derivative of 0 + 0 + l**4 + l + g*l wrt l? 12*l**2 Let o be ((-6)/(-1))/((-3)/(-3)). Suppose -o = -0*a - 3*a. Find the second derivative of -3*j**2 - j**a - 3*j**2 - 3*j + 4*j**2 wrt j. -6 Let d = 3 - 0. What is the derivative of 0*s + 0*s + s**2 + d + 0 wrt s? 2*s Suppose 3*a + h + 13 = a, 23 = -3*a - 5*h. Let z(s) = s**2 + 4*s - 8. Let m be z(a). What is the first derivative of -2*k**4 + m*k**4 - 3*k**4 - 1 wrt k? -4*k**3 Let c(n) be the first derivative of 3/2*n**2 - 1/6*n**6 + 0*n**3 + 0*n**5 + 3 + 0*n + 0*n**4. What is the second derivative of c(b) wrt b? -20*b**3 Let h(j) be the second derivative of 5*j**5/2 - 5*j**2 + 32*j. Differentiate h(o) with respect to o. 150*o**2 Let a(m) be the second derivative of -29*m**5/20 + m**3/2 + 3*m**2/2 - 5*m + 1. What is the second derivative of a(q) wrt q? -174*q Let w(u) be the third derivative of u**7/840 + u**5/60 - 5*u**3/6 - u**2. Let t(j) be the first derivative of w(j). What is the second derivative of t(r) wrt r? 6*r Let p(y) = -8*y + 8. Let z(i) = -9*i + 8. Let t(k) = -5*p(k) + 4*z(k). What is the first derivative of t(h) wrt h? 4 Let b be 57/15 + (-1)/(-5). Differentiate 2*w**4 - 2*w**4 + 3 + 2*w**b with respect to w. 8*w**3 Let g(z) = 6*z**4 + 18*z**2 - 3*z. Let m(p) = 6*p**4 + 19*p**2 - 4*p. Let i(k) = -4*g(k) + 3*m(k). Find the third derivative of i(j) wrt j. -144*j Suppose 5*r - 2*i - 10 = 3, 4*r - 9 = 3*i. Find the third derivative of 3 + 3*x**3 + x**2 - 3*x**2 - r wrt x. 18 Let s = 7 + -2. What is the second derivative of -5*k**3 + k + s*k**3 - 4*k**4 wrt k? -48*k**2 Let p = 13 + -7. Let f be (0 - -2) + (4 - p). What is the first derivative of f*u**3 - 3 - 3*u + 3*u - u**3 wrt u? -3*u**2 Let g(f) be the first derivative of 0*f + 0*f**3 - 3 - 3/4*f**4 + 1/2*f**2. Find the second derivative of g(q) wrt q. -18*q What is the first derivative of 14*a**3 + a**3 - 3*a**3 - 18 - 4 wrt a? 36*a**2 What is the derivative of 2*u + 4*u - 9 + u wrt u? 7 Suppose 0*b = b + h - 10, 3*h - 15 = 0. Let p(d) be the second derivative of -d**2 + 0*d**3 + 0 - 1/20*d**b - d + 0*d**4. Differentiate p(q) with respect to q. -3*q**2 Differentiate 491*b - 489*b - 3*b**2 + 18 - 20*b**2 wrt b. -46*b + 2 What is the first derivative of 17 + 198*y + 174*y - 344*y wrt y? 28 Find the second derivative of 28*c**4 + 5*c**2 - 11*c - 5*c**2 - 34*c**4 wrt c. -72*c**2 Let k(i) be the third derivative of 5*i**8/28 + 2*i**5/3 + 17*i**2. Find the third derivative of k(q) wrt q. 3600*q**2 Let j(a) be the second derivative of -a**10/151
{ "pile_set_name": "DM Mathematics" }
positive. c**(-19/20) Simplify x*x**(-3)*x*x**(8/7) assuming x is positive. x**(1/7) Simplify r**0*r*r**(1/2) assuming r is positive. r**(3/2) Simplify w**(-8/11)*w**(1/32) assuming w is positive. w**(-245/352) Simplify (w/((w/w**(-1))/w*w))**(-25)*((w**1*w)/w)/(w/((w*w**2/w)/w)) assuming w is positive. w**26 Simplify (j/(j*j/j**(3/8)))**(-3/11) assuming j is positive. j**(15/88) Simplify (g**(-2/5)*g*g)**(-39)*((g/(g/((g/(g*g/(g/(g/g**(-3/10)*g))))/g)))/g)/(g/(g**(-3)/g)) assuming g is positive. g**(-717/10) Simplify (((a*a/(a**(1/4)/a))/a)/a)/(a**17/a) assuming a is positive. a**(-61/4) Simplify t**(-9)/t**(-12/11) assuming t is positive. t**(-87/11) Simplify d**(4/5)/((d*d**(1/5))/d)*((d/d**3)/d)**11 assuming d is positive. d**(-162/5) Simplify (a/((a*a*a/(((a**30/a)/a)/a))/a))**41 assuming a is positive. a**1066 Simplify ((x/(x/(x*x/(x/(x/(x*x**7))))))/(x*x**(-4)*x))/(x*x*x/(x**(-1)*x))**(-12/11) assuming x is positive. x**(-8/11) Simplify ((i/(i/(i/(i/i**(2/23)))))/i**(-2/17))**(-48) assuming i is positive. i**(-3840/391) Simplify ((b**(-6))**(-2/55))**(4/19) assuming b is positive. b**(48/1045) Simplify (m**(-3))**16 assuming m is positive. m**(-48) Simplify (f**(-1/4)/(f/(((f*f*f**(-6)*f)/f)/f)))**(-46) assuming f is positive. f**(575/2) Simplify w**(-4/5)*(w/((((w/(w*w**(-2/7)))/w)/w*w)/w))/w*(w*w/(w/(w**1*w))*w)/(w**(-2/3)/w) assuming w is positive. w**(691/105) Simplify (d**(-8)/d*d**(2/17))/(((d/(d/(d**(-2/9)/d)*d))/d*d)/((d*d**(-1/3))/d*d)) assuming d is positive. d**(-917/153) Simplify (l**(-1/13))**39 assuming l is positive. l**(-3) Simplify ((l**(-1))**(7/2))**(3/14) assuming l is positive. l**(-3/4) Simplify z**(7/6)*z/z**(-1/23) assuming z is positive. z**(305/138) Simplify (j*j**(1/4)*j)/(j*j*j**(-20)*j) assuming j is positive. j**(77/4) Simplify x**6*x/(x*x*x**1)*(x*x/(x**(-2/7)/x))**(-5/2) assuming x is positive. x**(-59/14) Simplify (o*o*(o/o**(-2))/o)**(-1/13) assuming o is positive. o**(-4/13) Simplify w**(1/4)/w**(-1/2)*w**(-1)*w**(1/9) assuming w is positive. w**(-5/36) Simplify (d*(d*d/((d*d*(d**(1/2)*d)/d*d)/d))/d*d)**(-30) assuming d is positive. d**(-15) Simplify (l/((l**(-2/5)/l)/l)*l**(-2/15))**45 assuming l is positive. l**147 Simplify (((z**10/z)/z*z)/z)/(z/((z**(2/11)*z)/z)) assuming z is positive. z**(79/11) Simplify y/y**7*y/(y/(y*y/(y*y**(14/3)))) assuming y is positive. y**(-29/3) Simplify (r*r**6*r*r**(-1/4))**(-16) assuming r is positive. r**(-124) Simplify m**(-3/16)*(m*m**36*m*m)/m assuming m is positive. m**(605/16) Simplify ((y*((y**0/y)/y*y*y)/y)/(y**1/y))/(y/y**1)**(-2/5) assuming y is positive. 1 Simplify (n**2)**(51/5)/(n*n/((n*n**(5/4))/n*n*n)*(n/(n*(n**(2/17)*n*n)/n))/n) assuming n is positive. n**(8081/340) Simplify l**2*l*(l**(4/7)*l)/l assuming l is positive. l**(25/7) Simplify x**(-3)/((x**12*x)/x) assuming x is positive. x**(-15) Simplify (f*f**(-1)*f*f)/f**(-7)*f**3*f/(f/f**(-1/2)) assuming f is positive. f**(23/2) Simplify n**(-9)*n/(n*n**(1/6)*n) assuming n is positive. n**(-61/6) Simplify (i**(-1/3))**(-34)*(i**0)**(2/3) assuming i is positive. i**(34/3) Simplify r**(-10)/(r*(r/r**(-6)*r)/r) assuming r is positive. r**(-18) Simplify (t*t/(t**8*t*t))**24 assuming t is positive. t**(-192) Simplify (s/(s*s**(-1/2)))/((s*s/(s*s**(2/17)))/s)*s**(-6)*s/s**7 assuming s is positive. s**(-387/34) Simplify (t*t**(4/7))**(-40) assuming t is positive. t**(-440/7) Simplify ((h**(-2)/h)**(3/14))**(-49) assuming h is positive. h**(63/2) Simplify m**(-1/3)/(m*m**0) assuming m is positive. m**(-4/3) Simplify (s**(4/3)/s)**(-43) assuming s is positive. s**(-43/3) Simplify (((m*(m/(m*m**(-4/7)))/m)/m)/((m/m**(3/5))/m))/(m**(-2/29)*m*m**(1/8)) assuming m is positive. m**(-7183/8120) Simplify (p/(p*p**(-2/5)))**(-2/5)*(p**0/p)/(p/(p/p**2)*p*p) assuming p is positive. p**(-129/25) Simplify (g**(-1/2))**(-3/11)/((((g*g*g**4)/g*g)/g)/((g/(g*(g**(-3)/g)/g*g))/g*g)) assuming g is positive. g**(-19/22) Simplify (p**(-2))**20*(p*p/(p/(p**7/p))*p*p)/(p**1/p) assuming p is positive. p**(-31) Simplify (g/g**(-17)*g)**2 assuming g is positive. g**38 Simplify ((v/v**2)/(v/(v*v**3)*v))/((v**(-2/21)*v)/(v/((v**(1/9)/v)/v*v))) assuming v is positive. v**(125/63) Simplify (h/h**1)**23/(h/h**(-1/2)*h*h*h**(-1)) assuming h is positive. h**(-5/2) Simplify h**6/(h*h/(h/(h**3/h)))*(h**0/h*h)/(h**(-2/15)/h) assuming h is positive. h**(62/15) Simplify (c**(3/8)*(c*c**7)/c)**(-6) assuming c is positive. c**(-177/4) Simplify a**(-24)/a*a/(a*a**(-9)) assuming a is positive. a**(-16) Simplify s*s**5*s*s*(s**7/s)/s*s*s*s/(s*s/(s**(2/11)/s))*(s*s**(-7/2)/s*s)/s*s assuming s is positive. s**(235/22) Simplify (r**7/(r*r*r**(-1/13)))**(-48) assuming r is positive. r**(-3168/13) Simplify (c**(-2)/(c/c**(-2/29)))**(4/11) assuming c is positive. c**(-356/319) Simplify (a**(-10)*(a/(a/a**(-13/3)))/a)**(-5/16) assuming a is positive. a**(115/24) Simplify b**(2/3)*b/(b*b/(b*(b*b**(-10))/b)) assuming b is positive. b**(-28/3) Simplify ((q**(2/7)/q)/q)**(-1/47)/((q**(-3)/q*q)/q**(2/13)) assuming q is positive. q**(13645/4277) Simplify (d/(d/(d/((d/(d/d**(-21)))/d)*d)))**(-38) assuming d is positive. d**(-912) Simplify w/w**(-3/34)*w*w**(-9/8) assuming w is positive. w**(131/136) Simplify (f*f**(-4))**(6/31) assuming f is positive. f**(-18/31) Simplify (((f/(f/((f*f/f**(1/10)*f)/f)*f))/f)/f**(-2/11))/(f**6/(f*f**(-3))) assuming f is positive. f**(-871/110) Simplify ((n*n**1)**(-38))**(-1/3) assuming n is positive. n**(76/3) Simplify (a**(-1/3)/a)**28/(((a**(-1/4)/a)/a*a*a*a*a)/a)**(-1/68) assuming a is positive. a**(-30455/816) Simplify i/i**(3/5)*i**(-7)*(i**(-2))**(-46) assuming i is positive. i**(427/5) Simplify z**(4/9)*z/z**(1/40) assuming z is positive. z**(511/360) Simplify (n**(1/2)/(n*n*n/n**(-2/5)))**(2/13) assuming n is positive. n**(-29/65) Simplify (l*l*(l*l/l**(15/2))/l)/(l/(l*l**(-24))) assuming l is positive. l**(-57/2) Simplify (q/q**0*(q**(-7)*q*q)/q)**18 assuming q is positive. q**(-90) Simplify ((q**(-2/13)/q)/q)**(-27) assuming q is positive. q**(756/13) Simplify d**2/(d**(-12/11)/d) assuming d is positive. d**(45/11) Simplify ((i*i**(3/5))/i**8)**(-4) assuming i is positive. i**(128/5) Simplify (v**(2/13)/v)/v*v*v/(v*v*v*v**(-12))*v assuming v is positive. v**(132/13) Simplify q**(3/2)/(q/(q**4/q))*q/q**(-6)*q**(-2/9) assuming q is positive. q**(185/18) Simplify ((f/(f*f**(1/6)*f))/(f**(-1/2)*f))/((f**1*f)/f)**(1/44) assuming f is positive. f**(-223/132) Simplify (y*y**5*y*y**(-2/5)*y)**(-15) assuming y is positive. y**(-114) Simplify ((v**(-2/5))**(-13))**(-3/10) assuming v is positive. v**(-39/25) Simplify (a**1)**(-33)*a*a*a*a/a**(-6)*a*a**(2/3) assuming a is positive. a**(-64/3) Simplify ((t*t**(2/7)/t)/t*t/(t**(3/2)/t))/(t*t**5/t*t*t**(1/3)*t) assuming t is positive. t**(-317/42) Simplify (g*g**(-4))**(1/9) assuming g is positive. g**(-1/3) Simplify (o*o*o**(-2/5)*o*o)/(o**(-1/51)/o) assuming o is positive. o**(1178/255) Simplify (q**(-5/4)*q*(q/((q**(-2)*q)/q))/q*q)**4 assuming q is positive. q**11 Simplify i**(-15)/((i/(((i*i*i/(i**(-2/15)*i)*i)/i)/i))/i*i) assuming i is positive. i**(-223/15) Simplify ((b*b/((b*(b/(b*b**3*b)*b)/b)/b))/b**(-1/6))/(b*b*b*b/(b/(b*b*b**(2/7)))*b*b*b)**(-19) assuming b is positive. b**(6871/42) Simplify y/y**1*y**(-31)*y*y assuming y is positive. y**(-29) Simplify (p**(2/5)*(p**1*p*p)/p)/(p/p**(1/4))**(8/11) assuming p is positive. p**(102/55) Simplify (c**4)**(-20) assuming c is positive. c**(-80) Simplify (a/a**(6/17)*a)/(a*a**(-7/9)/a) assuming a is positive. a**(371/153) Simplify ((y**(3/2)/y*y)/y**6)/(((y/((y*y/(y*y*y**(2/3)/y*y*y))/y))/y)/y**(-1/2)) assuming y is positive. y**(-23/3) Simplify (b*b*b*b**1*b**(9/4))**(40/7) assuming b is positive. b**(250/7) Simplify ((s*s/(s**(4/9)*s))/(s*s/(s**(-9)/s)))**(2/7) assuming s is positive. s**(-206/63) Simplify ((l*(l/((l/(l*l/(l*l**(-8)*l)*l))/l))/l)/(l*l**(-5)*l))**(1/27) assuming l is positive. l**(13/27) Simplify (y*y**(-13/2)*y)**(-44) assuming y is positive. y**198 Simplify a**0*a**(-2)*(a*a*a**(-1/4)*a)**(1/9) assuming a is positive. a**(-61/36) Simplify (y/(y*y**(-1)*y)*y)**1/(y**(-1/2)/(y*y**(-3)/y*y)) assuming y is positive. 1/sqrt(y) Simplify (w*w**(1/4)*w*(w/(((w/(w/(w*w**7)))/w)/w))/w)**(-3/7) assuming w is positive. w**
{ "pile_set_name": "DM Mathematics" }
of 41? False Is 104 a multiple of 8? True Does 3 divide 977? False Is 12 a factor of 5532? True Is 370 a multiple of 37? True Is 471 a multiple of 2? False Is 78051 a multiple of 30? False Is 34 a factor of 7446? True Is 60 a factor of 25260? True Is 7 a factor of 90344? False Does 40 divide 18488? False Is 21 a factor of 1380? False Is 5 a factor of 1082? False Does 4 divide 3038? False Does 44 divide 2376? True Is 350 a multiple of 30? False Is 17 a factor of 5389? True Is 32 a factor of 26620? False Does 29 divide 4321? True Is 825 a multiple of 5? True Is 28 a factor of 986? False Is 35 a factor of 140? True Is 299 a multiple of 18? False Does 25 divide 19766? False Is 58027 a multiple of 4? False Does 100 divide 8203? False Is 88 a multiple of 2? True Is 20336 a multiple of 8? True Is 11 a factor of 536? False Does 12 divide 330? False Is 41 a factor of 1271? True Does 102 divide 11574? False Is 603 even? False Is 1192 a multiple of 35? False Does 8 divide 22119? False Does 4 divide 40? True Is 11174 a multiple of 15? False Does 66 divide 12048? False Is 275 a factor of 3575? True Does 21 divide 1550? False Does 9 divide 2340? True Is 11 a factor of 10750? False Does 6 divide 5391? False Does 16 divide 144? True Is 14 a factor of 41356? True Is 41 a factor of 21976? True Is 6363 a multiple of 63? True Is 2109 a multiple of 111? True Is 32617 a multiple of 7? False Is 105 a multiple of 15? True Is 63 a multiple of 7? True Is 53130 a multiple of 55? True Is 83 a factor of 13280? True Is 89 a factor of 23401? False Is 21 a factor of 945? True Does 40 divide 4480? True Is 50 a factor of 7417? False Does 151 divide 1106? False Is 5 a factor of 1676? False Is 18 a factor of 163? False Does 12 divide 1637? False Is 1380 a multiple of 46? True Does 11 divide 6292? True Does 138 divide 1658? False Is 29 a factor of 1740? True Does 38 divide 1444? True Is 19 a factor of 1197? True Is 9139 a multiple of 86? False Is 20 a factor of 4500? True Does 241 divide 30125? True Does 288 divide 57600? True Does 21 divide 962? False Is 27 a factor of 71? False Is 1750 a multiple of 50? True Does 8 divide 513? False Is 8 a factor of 19096? True Is 19824 a multiple of 68? False Is 86 a factor of 4030? False Does 4 divide 2596? True Is 4815 a multiple of 9? True Is 5324 a multiple of 11? True Is 28575 a multiple of 25? True Does 55 divide 467? False Is 1225 a multiple of 5? True Is 202 a multiple of 5? False Does 7 divide 3192? True Is 11 a factor of 3400? False Is 14475 a multiple of 15? True Is 1315 a multiple of 34? False Does 50 divide 4657? False Is 34384 a multiple of 8? True Does 88 divide 29568? True Does 59 divide 4897? True Is 46 a factor of 70641? False Is 15 a factor of 108? False Is 4095 a multiple of 7? True Is 15 a factor of 963? False Is 34 a factor of 136? True Does 18 divide 1525? False Is 120 a factor of 31689? False Is 52 a factor of 642? False Is 13 a multiple of 13? True Is 315 a factor of 94195? False Does 77 divide 34419? True Is 144 a multiple of 21? False Is 18 a factor of 1077? False Is 247 a multiple of 80? False Is 9 a factor of 11990? False Does 237 divide 52614? True Is 41 a factor of 2155? False Is 11 a factor of 737? True Does 83 divide 18094? True Does 16 divide 3044? False Is 9 a factor of 4255? False Does 4 divide 8? True Is 59 a multiple of 7? False Is 9820 a multiple of 20? True Is 1703 a multiple of 15? False Is 88882 a multiple of 23? False Does 29 divide 986? True Is 17 a factor of 1538? False Is 6306 a multiple of 6? True Is 8 a factor of 28848? True Is 2331 a multiple of 37? True Is 1958 a multiple of 12? False Does 7 divide 873? False Does 34 divide 28458? True Is 10 a factor of 50917? False Is 4640 a multiple of 40? True Does 130 divide 10740? False Does 57 divide 228? True Is 9 a factor of 198? True Is 4 a factor of 2432? True Is 10 a factor of 2690? True Does 17 divide 3280? False Is 89 a factor of 4450? True Is 17 a factor of 10418? False Is 6 a factor of 1831? False Is 130 a factor of 2444? False Is 20 a factor of 1420? True Is 1379 a multiple of 8? False Is 40132 a multiple of 127? True Is 60 a factor of 1319? False Does 33 divide 3235? False Does 59 divide 247? False Does 98 divide 5782? True Does 7 divide 20712? False Is 257 a factor of 5397? True Is 63 a factor of 1635? False Is 17 a factor of 110? False Does 29 divide 843? False Is 2202 a multiple of 15? False Is 8 a factor of 168? True Does 30 divide 966? False Does 45 divide 23248? False Is 10582 a multiple of 11? True Does 21 divide 693? True Is 4 a factor of 272? True Is 10850 a multiple of 14? True Is 12 a factor of 2256? True Is 9 a factor of 2898? True Is 7889 a multiple of 98? False Does 32 divide 8288? True Does 28 divide 25581? False Is 11413 a multiple of 101? True Is 9 a factor of 1229? False Does 13 divide 14111? False Does 7 divide 1783? False Is 7 a factor of 7787? False Is 55 a factor of 15546? False Does 8 divide 2263? False Does 23 divide 1518? True Is 1353 a multiple of 33? True Is 24 a multiple of 24? True Does 15 divide 103560? True Is 393 a multiple of 44? False Is 48 a multiple of 48? True Is 3 a factor of 2086? False Does 8 divide 3219? False Does 17 divide 1870? True Is 29 a factor of 3480? True Is 3762 a multiple of 114? True Does 4 divide 2663? False Does 24 divide 1379? False Does 31 divide 5452? False Does 87 divide 28198? False Is 92 a factor of 1564? True Is 60 a factor of 11820? True Is 15785 a multiple of 35? True Is 2 a factor of 269? False Is 773 a multiple of 13? False Is 2 a factor of 1447? False Is 139 a multiple of 3? False Is 14 a factor of 2166? False Does 37 divide 4668? False Is 12 a factor of 2201? False Is 14 a factor of 552? False Does 5 divide 123? False Does 20 divide 61280? True Is 2767 a multiple of 34? False Is 444 a multiple of 12? True Is 847 a multiple of 11? True Is 1675 a multiple of 76? False Does 17 divide 7378? True Is 27 a factor of 490? False Does 5 divide 3664? False Does 43 divide 8858? True Does 259 divide 108135? False Does 6 divide 3683? False Is 27 a factor of 19479? False Does 86 divide 30625? False Does 41 divide 1722? True Is 14 a factor of 1820? True Is 29 a factor of 1623? False Is 3185 a multiple of 43? False Is 2648 a multiple of 14? False Is 121 a multiple of 11? True Is 133 a multiple of 5? False Is 135 a factor of 51840? True Is 2346 a multiple of 102? True Does 19 divide 1082? False Is 29 a factor of 13947? False Is 15 a factor of 7063? False Does 10 divide 310? True Is 10755 a multiple of 11? False Does 16 divide 4496? True Does 40 divide 625? False Is 677 a multiple of 42? False Is 16 a factor of 1552? True Is 4230 even? True Does 26 divide 962? True Does 70 divide 870? False Does 42 divide 84? True Is 393 a multiple of 18? False Is 476 a multiple of 14? True Does 6 divide 14796? True Does 17 divide 357? True Is 5280 a multiple of 8? True Is 2159 a multiple of 26? False Is 74 a factor of 1480? True Is 22 a factor of 3234? True Does 102 divide 27030? True Is 92 a factor of 3680? True Is 676 a multiple of 8? False Does 55 divide 49578? False Does 213 divide 41748? True Does 17 divide 238? True Is 15956 a multiple of 24? False Is 19 a factor of 20823? False Does 59 divide 3186? True Is 12 a factor of 9332? False Does 25 divide 1600? True Is 1554 a multiple of 26? False Does 45 divide 11655? True Is 637 a multiple of 5? False Does 5 divide 431? False Is 9 a factor of 1083? False Is 28 a factor of 565? False Does 42 divide 37511? False Does 21 divide 777? True Is 320 a multiple of 75? False Does 25 divide 200? True Is 41 a factor of 123? True Does 24 divide 24? True Does 37 divide 11174? True Is 637 a multiple of 91? True Does 29 divide 638? True Does 12 divide 490? False Does 16 divide 5792? True Is 68 a factor of 6936? True Does 144 divide 10656? True Does 67 divide 19678? False Is 25 a factor of 25? True Is 8 a factor of 360? True Does 44 divide 2737? False Does 6 divide 5426? False Does 147 divide 104517? True Is 38 a factor of 3154? True Is 5599 a multiple of 13? False Is 78 a factor of 1560? True Does 49 divide 17686? False Does 123 divide 827? False Is 136 a multiple of 34? True Does 7 divide 112? True Does 154 divide 12628? True Is 21 a factor of 939? False Is 10 a factor
{ "pile_set_name": "DM Mathematics" }
j(z). Let b(f) = -10*f**2 - 14*f - 11. Determine 6*b(w) - 17*k(w). -9*w**2 + w + 2 Let p(d) = 20*d - 5. Let k(g) be the first derivative of g**2/2 + g + 4707. Calculate -5*k(f) - p(f). -25*f Let y(t) = 3*t**2 - 3*t. Suppose 0 = 12*c - 3 - 9. Let d(n) = n**2. Let g = -1020 + 1015. What is c*y(o) + g*d(o)? -2*o**2 - 3*o Let l(m) = 35 - 11 + 6 + 2 - 12. Let u(s) = s + 1. Determine -l(w) + 3*u(w). 3*w - 17 Let j(z) = z. Let n(u) = -24 + 20 - 712*u + 688*u + 4. What is -80*j(q) - 5*n(q)? 40*q Let u(d) = 2*d**3 + 3*d**2 + 4*d - 5. Let f(c) = c**2 + c + 1. Let q = 2959 - 2956. Determine q*f(h) - u(h). -2*h**3 - h + 8 Let j(v) = -15*v + 2. Let y(b) = 61*b - 2003. What is 4*j(z) + y(z)? z - 1995 Let u(h) = -2*h + 4. Let z(v) = -v**2 - 1. Let k = 164 + -208. Let r = k + 45. Calculate r*u(y) + 2*z(y). -2*y**2 - 2*y + 2 Let n(v) be the second derivative of v**4/6 - v**2 - 3128*v. Let g(t) = 11*t**2 - t - 11. Determine -6*g(l) + 34*n(l). 2*l**2 + 6*l - 2 Let i(l) be the first derivative of l**2/2 + 4*l - 1837. Let g(w) = -2*w - 4. What is 6*g(s) + 7*i(s)? -5*s + 4 Let z = -22 + 26. Suppose 10*w - 16 = z. Let x(s) be the first derivative of -s**2 + 2*s + 1. Let f(p) = p**2 + 11*p - 11. Determine w*f(d) + 11*x(d). 2*d**2 Let l(u) = -u**3 - 11*u**2 - 6*u - 69. Let s(v) = -v**3 - 23*v**2 - 10*v - 144. Give 5*l(j) - 3*s(j). -2*j**3 + 14*j**2 + 87 Let s(z) = -3566*z + 125. Let p(a) = 7629457*a - 267450. Determine -5*p(d) - 10698*s(d). 1783*d Let x(w) = 9*w**3 + 4*w**2 + 17*w - 2. Let p(a) = -43*a**3 - 19*a**2 - 84*a + 9. What is 4*p(n) + 19*x(n)? -n**3 - 13*n - 2 Let m(b) be the first derivative of b**3/3 - 2*b**2 + 4*b - 9. Let g be m(2). Let w(n) = 1996*n + g - 5 - 1985*n. Let y(i) = -45*i + 21. Give 21*w(v) + 5*y(v). 6*v Let x(o) = -5*o**2 + 15*o - 5. Let q(b) be the second derivative of -3*b**4/4 + 31*b**3/6 - 9*b**2/2 - 275*b - 7. Give -6*q(j) + 11*x(j). -j**2 - 21*j - 1 Let f(x) = 1. Let a(c) = -c**2 - 13*c - 6. Suppose -9 = 109*d - 118*d. Calculate d*a(u) + 5*f(u). -u**2 - 13*u - 1 Let x(n) = 40910*n - 409. Let q(f) = -10227*f + 91. Calculate 18*q(k) + 4*x(k). -20446*k + 2 Let p = 3242 + -3244. Let b(d) = -d + 18. Let g(c) = -2*c + 17. Calculate p*g(r) + 3*b(r). r + 20 Let j(g) = -2*g**2 - 3*g + 3. Suppose -4*a + 2*a - 12 = 2*y, 3*a + 23 = -4*y. Let f(d) = 7 + d - 2 - 6*d - 190*d**2 + 187*d**2. Determine y*j(t) + 3*f(t). t**2 Let p(n) = 2*n**3 - 2992*n**2 - 21*n. Let y(o) = o**3 + o**2 - 7*o. What is p(a) - 3*y(a)? -a**3 - 2995*a**2 Let s(a) = -a**3 + 6*a**2 - 2*a. Let n(p) = p**3 - 7*p**2 + 2*p. Suppose -51*v = -42*v - 1890. Let m = 215 - v. Determine m*n(w) + 6*s(w). -w**3 + w**2 - 2*w Suppose -2*n + 13 = -3*v, 0*n - 5*n - 4*v - 25 = 0. Let r = 47 + n. Suppose -5*u = 14 + r. Let d(k) = 22*k + 2. Let m(z) = 9*z + 1. What is u*m(a) + 5*d(a)? 2*a - 2 Let w(f) = f**2 - f + 1. Let y be (0 + -6)*15/(-18). Suppose -3*p = 4*r - p - 6, y*r = -p. Let m(k) = 2*k**2 - 4*k + 5. Calculate r*m(t) + 3*w(t). t**2 + t - 2 Let i(v) = -2*v**3 + 4*v**2 - v - 5. Let o(l) = 5*l**3 - 145*l**2 + 2*l + 15. Calculate -2*i(h) - o(h). -h**3 + 137*h**2 - 5 Let j(f) be the second derivative of -f**4/4 + 4*f**3/3 + f**2 - 15*f - 419. Let o(v) = -13*v**2 + 33*v + 8. What is 9*j(c) - 2*o(c)? -c**2 + 6*c + 2 Let u be (1*2)/(-8*(-16)/(-256)). Let i(s) = 57*s - 33. Let o(m) = 7*m - 4. Suppose 0 = 5*r + 239 + 301. Let z = -75 - r. Determine u*i(h) + z*o(h). 3*h Let i(h) = 7*h**3 - 23*h**2 + 175*h + 10. Let n(c) = -20*c**3 + 65*c**2 - 525*c - 28. Calculate -17*i(k) - 6*n(k). k**3 + k**2 + 175*k - 2 Let m(q) = q**3 + 39*q**2 + q + 42. Let h be m(-39). Let r(w) = 58*w**2 + w - h + 2 + 1 - 59*w**2 - 1. Let y(a) = 8*a**2 - 6*a + 6. What is -6*r(s) - y(s)? -2*s**2 Let z(i) = -i**2 + i + 1. Let j(p) be the third derivative of -p**5/4 + 11*p**4/24 + 2*p**3 + p**2 - 371. Calculate -2*j(w) + 22*z(w). 8*w**2 - 2 Let u(m) = 1262*m**3 - 12*m**2 - 6*m - 2. Let d(t) = -t**3 - 2*t**2 - t. What is 6*d(v) - u(v)? -1268*v**3 + 2 Let n(u) = 968*u**2 - 2. Let l(t) = -969*t**2 - t + 3. Give -2*l(x) - 3*n(x). -966*x**2 + 2*x Let i(b) be the third derivative of b**5/30 - 5*b**4/24 - b**2. Let r(o) = -5*o**2 + 11*o. Let w = -851 - -886. Suppose -t = -28 + w. Calculate t*i(m) - 3*r(m). m**2 + 2*m Let o(h) = 16*h**3 - 3*h**2 - 7*h + 286. Let p(q) = -12*q**3 + 2*q**2 + 5*q - 279. Determine -2*o(x) - 3*p(x). 4*x**3 - x + 265 Let u(z) = -17*z - 662. Let j be u(-39). Let f(k) = 3*k**3 - k**2 - k - 1. Let m(q) = q**3 + q**2 + q + 1. Give j*m(i) + f(i). 4*i**3 Let q(p) = -119*p + 1090. Let v(j) = -53*j + 545. What is 4*q(k) - 9*v(k)? k - 545 Suppose p - 6 = -4*s, 2*p - 3 = -5*s + 3. Let d(o) be the second derivative of o**3/2 + o**2/2 + 11*o - 1. Let a(b) = 1. What is p*d(m) + 2*a(m)? -6*m Let a(g) = 124*g**2 + 10*g**2 + 4*g + 4 - 121*g**2. Let h(k) = -12*k**2 - 3*k - 3. What is -3*a(t) - 4*h(t)? 9*t**2 Let z be -6 - (6 - (10 - -5)). Let m(v) = z*v + 2150 - 2144 - 2*v. Let q(l) = -2*l - 7. Calculate -4*m(u) - 3*q(u). 2*u - 3 Let c(t) = -19*t - 2246. Let q(z) = -105*z - 11227. Determine -11*c(y) + 2*q(y). -y + 2252 Let w(u) = -416*u - 10. Let s(q) = -175*q - 5. Let i(m) = 5*s(m) - 2*w(m). Let b(j) = -44*j - 6. Give -5*b(h) + 6*i(h). -38*h Let z(f) = -10*f + 5. Suppose 178*h = 181*h - 3. Let y(s) = 5*s - s - h - 11*s + 8*s. Calculate 5*y(x) + z(x). -5*x Let t(f) = -29*f + 9. Suppose -29 + 39 = 2*r - q, r + 13 = -4*q. Let w(a) = 15*a - 4. Give r*t(z) + 7*w(z). 18*z - 1 Suppose 33*o - 38 = 14*o. Let f(y) = 93*y**2 - 47*y**2 + 3*y**3 - 2 - 45*y**2. Let m(w) = -4*w**3 - w**2 + 3. Determine o*m(z) + 3*f(z). z**3 + z**2 Let g(y) = -y**3 + 5*y**2 - 10*y. Let u(h) = 28 - 2*h - 16 - 12 + h**2. Let s(b) = b**2 + 10*b - 2. Let x be s(-9). Calculate x*u(c) + 2*g(c). -2*c**3 - c**2 + 2*c Let y(l) be the second derivative of l**3/6 - 5*l**2 + 7*l - 496. Let b(x) = x + 1. What is 2*b(h) - y(h)? h + 12 Let y(t) = -t**2 + 10*t - 2. Let z(h) be the first derivative of 2*h**3/3 - 29*h**2/2 + 5*h - 14803. What is 8*y(i) + 3*z(i)? -2*i**2 - 7*i - 1 Let c(m) = 3*m**2 - 3*m - 2. Let p(s) be the second derivative of -1/12*s**4 + 1/2*s**2 + 1/6*s**3 - 14*s - 4. Determine -3*c(n) - 8*p(n). -n**2 + n - 2 Let x(h) = -84*h**3 + 6*h**2 + 12*h + 5. Let t(o) = -5*o**3 - o**2 - 2*o. Determine 6*t(g) + x(g). -114*g**3 + 5 Let s(q) = -7*q**3 - 4*q**2 - 80*q. Let f(a) = 22*a**3 + 13*a**2 + 228*a. Calculate -6*f(w) - 17*s(w). -13*w**3 - 10*w**2 - 8*w Let j(w) = -14*w**2 + 14*w - 2. Suppose -17*g + 12*g + 3 = 3*k, -4 = -4*k - 2*g. Let m(p) = 71*p - 2 - 32*p - 9*p**2 + k - 30*p. Determine 5*j(n) - 8*m(n). 2*n**2 - 2*n - 2 Let r(w) = -9*w**3 + 5*w**2 + 10*w - 7. Let o(s) = 6*s**3 - 3*s**2 - 5*s + 4. Determine 5*o(p) + 3*r(p). 3*p**3 + 5*p - 1 Let q(c) = -19*c + 14. Let j(o) = -6*o + 5. Let s(l) = l**2 + 32*l + 255. Let b be s(-18). Calculate b*q(u) - 8*j(u). -9*u + 2 Let s be (0 + 2)*10/(-4). Let u(i) be the second derivative of 2 + 3/4*i**4 - 19*i - 5/6*i**3 + 0*i**2. Let o(r) = -8*r**2 + 4*r. Determine s*o(y) - 4*u(y). 4*y**2 Let k(p) = 3*p**2 + 3. Let q(g) = 2*g**2 + g + 2. Let w be (-1068)/(-890)*(-20)/6. What is w*k(s) + 5*q(s)? -2*s**2 + 5*s - 2 Let p(d) = -3*d. Let i be p(-1). Let u be i - (-4 - -4)*1. Let n(w) = -3 - u*w + 10*w - 8*w - 2*w. Let l(o) = 7*o + 7. Give -4*l(z) - 9*n(z). -z - 1 Let y(i) = -13*i**2 + 2*i + 9. Let j(a) = -11*a**2 + 2*a + 13. Give -6*j(h) + 7*y(h). -25*h**2 + 2*h - 15 Let k(m) = -m - 1. Let b(q) be the second derivative of -5*q**4/12 + q**3 + 3*q**2 - 2*q. Let a = -331 + 336. Suppose 7*d = -a*d + 12. What is d*b(l) + 6*k(l)? -5*l**2 Let y(x) = -7*x**2. Suppose -20*d + 4*d + 16 - 32 = 0. Let o(f) = f**2. Determine d*y(j) + 6*o(j). 13*j**2 Let z(o) = 2*o - 8 + 4 + 214*o**2 - 217*o**2 + 2. Suppose 4*d = 4*y - 12, 0 = 4*d - 2*y + 10 + 6. Let v(a) = 7*a**2 - 4*a + 5. What is d*z(r) - 2*v(r)? r**2 - 2*r Let a(n) = -11*n**2 - 5*n - 5. Suppose -3*j - 21 = d, -3*j + 6 = -d + 3. Let u be 9/99*57 - 120/660. Let o(f) = -27*f**2 - 12*f - 12. Determine d*a(i) + u*o(i). -3*i**2 Let o(r) = 2*r**3 + 3*r**2 - 3*r - 5. Let j be 732/3477*38/4. Let y(v) = -v**3 - v**2 + v - 1. Determine j*o(k) + 6*y(k). -2*k**3 - 16 Let y(v) = -51127*v - 348. Let i(g) = -1189*g - 8. What is 87*i(t) - 2*y(t)? -1189*t Let q(f) = 26*f - 3. Let j(l) be the first deri
{ "pile_set_name": "DM Mathematics" }
(10/15). Let o = -323/35 + m. Sort 4, n, o in decreasing order. 4, o, n Suppose -5*o - 5 = 10. Let y = 0.2 - -3.5. Let j = 3.6 - y. Put j, 0.3, o in descending order. 0.3, j, o Let d = -0.04 + 0.16. Let j = d + -0.21. Let x = j - -0.59. Put -3, x, -0.5 in descending order. x, -0.5, -3 Let a(l) = -l**2 - 11*l + 150. Let x be a(-19). Suppose -3*k - 49 = 2*g, 4*k - g = -30 - 28. Put x, 2, k in ascending order. k, x, 2 Let u = -0.43 - 50.57. Let x = 36 + u. Let d = x - -14.8. Sort -1, 0.3, d in descending order. 0.3, d, -1 Let b = -342 + 349. Sort -4, -2, 4, b in ascending order. -4, -2, 4, b Let i(h) = 6*h**2 - 41*h + 59. Let y be i(5). Let a(z) = z**3 + z**2 - z + 5. Let o be a(0). Sort y, 6, 1, o in decreasing order. 6, o, y, 1 Let m(j) = j**3 - 5*j**2 + 10*j - 4. Let y be m(2). Sort 0, y, 0.5, 0.63 in decreasing order. y, 0.63, 0.5, 0 Let p = -1008 + 7053/7. Sort 0.4, 57, p in descending order. 57, 0.4, p Let c = -13.6 + 14.38. Put 0.4, 0.5, c, -0.5 in increasing order. -0.5, 0.4, 0.5, c Let m be -6 + 120/21 + 38/(-14). Suppose 0 = 3*p + 2*p - 0*p. Suppose -o = 2*o - 9, 2*o - 4 = g. Put p, m, g in ascending order. m, p, g Let c(h) = h**2 + 8*h. Suppose -k + 5*k = -16. Let i be c(k). Let j = 18 + i. Put j, 5, -4 in ascending order. -4, j, 5 Let b = 66 + -65.8. Let x = -5702/19 + 300. Let m = -0.1 + 0.1. Sort b, m, x. x, m, b Let n = -17 - -14. Put 0.03, n, 3 in decreasing order. 3, 0.03, n Suppose -5*k = -4*k - 0*k - 2. Let m = -0.2 + 0.3. Sort k, -2, -0.2, m in ascending order. -2, -0.2, m, k Let w = -1.11 - -1.01. Let g = 5 + -4.7. Let r = w - g. Put 0.4, -0.5, r in descending order. 0.4, r, -0.5 Suppose 14*x - 1352 = -344. Suppose 0 = 77*l - x*l - 80. Sort -1, -4, l, 0 in descending order. l, 0, -1, -4 Let q = -2.3 + 6.3. Let s = 22 + -21. Let d = 4 + -3.6. Put d, s, q in increasing order. d, s, q Let f(a) = a**2 - 7*a + 6. Let d be f(6). Put 16, -4, d in descending order. 16, d, -4 Let u = 11.3 + -11.372. Let i = u + 0.072. Sort i, 4, 2/11, 5 in ascending order. i, 2/11, 4, 5 Suppose 12*q + 320 = 16*q. Suppose -q*k + 79*k = -1. Sort -1, k, -4 in ascending order. -4, -1, k Let c = 363 + -364.4. Put c, 4, 0 in descending order. 4, 0, c Let q = -0.32 + -0.2. Let l = q + 0.92. Let f = -0.42 - -0.02. Put l, f, 5 in ascending order. f, l, 5 Let z be (-4)/(-6)*405/18. Let n be (8/(-3))/((-10)/z). Suppose 3*m - 2*l + 1 = -8, -15 = 5*m - 2*l. Sort m, n, 2 in descending order. n, 2, m Let l be 12/21 - (-1 + (-102)/42). Suppose 4*x - 2*x = -24. Let y be ((-6)/(-4))/(9/x). Sort y, l, -1. y, -1, l Suppose 0 = d - 4*d - 15. Let v be -2 + 4 + 0 + d. Let y(m) = 3*m**2 - 46*m + 16. Let j be y(15). Sort v, 0, j in descending order. j, 0, v Suppose 2*k + 0*k = -o - 15, 36 = -2*o - k. Let s = o - -18. Suppose h + 8*h = -27. Put 4, h, s in ascending order. h, s, 4 Let c be (6/(-9))/(5/3). Let s = 0.0574 - 0.0474. Put 1, s, c in decreasing order. 1, s, c Let l be (6/1 + 0)/(-6 + 8). Sort l, -5, -2, -4 in increasing order. -5, -4, -2, l Suppose 16*i = 17*i - 3. Let m be i - 1 - (-14 - -23). Sort 4, m, 1. m, 1, 4 Suppose 25 = -5*y - 5. Let z = y - -8. Suppose 4*g - 3 = -4*r + 5, -3*g - 5*r = 0. Sort z, -7, g in decreasing order. g, z, -7 Let m(a) = -a - 7. Let t = -10 - -14. Let y(q) = -2*q - 15. Let h(r) = t*y(r) - 7*m(r). Let c be h(-11). Sort 1, c, -3 in decreasing order. 1, c, -3 Let w be (-1)/(-2) - 38/60. Let i = 28 - 28. Put -0.3, w, i in ascending order. -0.3, w, i Let t = 0.0392 - -0.9608. Sort -4/3, -1.79, t. -1.79, -4/3, t Suppose 0 = 4*j + h - 9 + 92, -4*h - 59 = 3*j. Let b be 0 + (-4)/6 - j/(-9). Let g be 1/4 - (-1)/(-4). Sort 5, g, b in descending order. 5, g, b Let g = 1.994 + -37.994. Sort g, 0.4, 0.1, 1/4 in descending order. 0.4, 1/4, 0.1, g Let x = 85 - 87.04. Let h = x + 0.04. Let t = 4.4 + -4.4. Sort 1/4, h, t. h, t, 1/4 Let u = 820 + -820.4. Sort -24, u, 1, 1/4. -24, u, 1/4, 1 Suppose 307 + 444 = -400*n - 449. Let l be (-4)/(-10) - 46/(-10). Let v be (-3)/(-6) - l/2. Put n, -4, v in decreasing order. v, n, -4 Let n be 6/9 - 176/246. Let i be (-7190)/(-3895) + 10/(-5). Let a = n - i. Put a, 1/4, 5 in increasing order. a, 1/4, 5 Let y be (-8)/(1 - 3)*1. Let m = 1 - 4. Sort m, -1, 2, y in descending order. y, 2, -1, m Let g = 124.7 + -125. Let m = 15 - 10. Suppose 4*p - m*o - 10 = -4*o, -4*o = 4*p. Put -3/5, g, p in increasing order. -3/5, g, p Let o = -2464 + 2465. Put -70, -5, o, 6 in increasing order. -70, -5, o, 6 Let p = 313 + -310. Sort 0, 335, p in decreasing order. 335, p, 0 Let a(l) be the second derivative of -l**2 - 1/6*l**3 + l + 0. Let c be a(-4). Put c, -2, -4 in ascending order. -4, -2, c Let x = 108 - 108.1. Sort 0, -1, 4, x. -1, x, 0, 4 Let w be -1*((-8)/2 - 0). Suppose -6 = j + f, 0 = 2*j - f - 9 + 18. Sort w, j, -3. j, -3, w Let c(g) = g**2 + 2*g - 7. Let k be c(-5). Let s(t) = -2*t**3 - t**2 - 2*t - 4. Let v be s(-2). Suppose -a + k = v. Sort -0.4, a, -5 in ascending order. -5, a, -0.4 Suppose -1692*d = -1693*d + 7. Put -2/9, 0.1, -1, d in decreasing order. d, 0.1, -2/9, -1 Let x = -1700 + 1696. Sort x, -1.4, -1/11 in decreasing order. -1/11, -1.4, x Let o(k) = 3*k**2 - 8*k + 34. Let w be o(-10). Sort w, -2, -1 in decreasing order. w, -1, -2 Let y = 57 - 87. Let a = y + 29.9. Put -5, 1/4, a in increasing order. -5, a, 1/4 Let d = -12.9891 - 0.0109. Sort 4, -1/3, -2, d. d, -2, -1/3, 4 Suppose -2 + 7 = o. Let w be o*-3 - 6/(-2). Let n = -11 - w. Sort -2, n, -1 in ascending order. -2, -1, n Let o = 129 + -105. Let l be o/(-60)*(-10)/(-16). Put l, -6, -4 in descending order. l, -4, -6 Suppose 30 - 26 = s. Put s, -7, 1 in increasing order. -7, 1, s Let h = -236 + 229. Sort 2/21, 1, h in descending order. 1, 2/21, h Let j = 11 - 6. Let q = 41 + -44. Let r be (1/3)/((-1)/3). Sort j, r, q in decreasing order. j, r, q Suppose -5*x - 5 = 5*w, -x = -0*w - w - 9. Suppose 0*i = i + 2. Let j = 5 + i. Sort w, j, -2 in decreasing order. j, -2, w Let y be 40/80*(1 - 5). Put 0, y, -14, 4 in descending order. 4, 0, y, -14 Let r = 584 - 582. Put 3, -1, r in ascending order. -1, r, 3 Let z be (-6)/(-3 + (-27)/(-12)). Suppose 0 = 4*d + 4*g - z, 4*g - 11 = -2*d + 3. Let q(p) = -p - 4. Let v be q(d). Sort v, 3, -2. -2, v, 3 Let j = 0.043 - 1.843. Sort -4, -1, j in increasing order. -4, j, -1 Let s = -7.3 - -7.5. Let d = 10 + -7. Sort d, 0.5, s in increasing order. s, 0.5, d Let g be ((-20)/80)/(10/4). Sort -0.4, 2, 1, g in increasing order. -0.4, g, 1, 2 Let r(h) = -8*h - 214. Let o be r(-27). Put 4, -6, -1, o in decreasing order. 4, o, -1, -6 Let s = -696 + 692. Sort s, 0.3, 35, -1. s, -1, 0.3, 35 Suppose 2 = -3*h + s - 3*s, h - 6 = -4*s. Suppose -v + 32 = 4*r + 2*v, 48 = 4*r - v. Sort r, h, 5 in increasing order. h, 5, r Let g(k) = -3*k + 8*k + 62 - 55. Let s be g(-2). Sort -12, s, 2 in descending order. 2, s, -12 Suppose -6*a + 32 = 2. Let v(g) = g**3 + 6*g**2 - 5*g + 9. Let b be v(-7). Sort 3, 4, a, b. b, 3, 4, a Let d = -7 - -2. Suppose 4*r - 31 = -7. Suppose -21*c = 9*c - 90. Sort d, r, c in descending order. r, c, d Let m be (-4 - (0 - 2)) + 4. Suppose 5*j - j = -5*h - 23, -3*h = 5*j + 19. Let v = m + h. Sort 4, -4, v. -4, v, 4 Let y = 15 - 10. Suppose -y*f + 12 = -7*f. Let q = -2 - f. Sort -0.3, q, -1/3. -1/3, -0.3, q Let y be -2 + (-6 - -10 - 2). Sort -3, y, -58 in descending order. y, -3, -58 Suppose -2 = -4*k + 30. Let z(w) = -2*w + 98. Let a be z(51). Sort a, k, 0. a, 0, k Let v = 7 + -12. Let d be (v + -1)*(-6)/(-9). Let u = -5 + 4.8. Sort d, u, 0. d, u, 0 Suppose -3*z = 4*y + 71, -2*z = z + 15. Sort -3, 0, y, 2 in increasing order. y, -3, 0, 2 Let x be (12/(-48))/(2/(-8)). Sort 71, 3, x. x, 3, 71 Suppose 68 = 3*z + z. Let i = -18 + z. Let u be i - 12/(-9)*3. Sort 2, 4, u in ascending order. 2, u, 4 Let j = -28089/8 - -3511. Let n = -3.92 + -0.08. Sort -0.02, j, n. n, j, -0.02 Let s be 1053/(-3759) - 4/(-14). Let t be 156/(-117) - (3562/(-3222) - 0). Let f = t + s. Sort 2/5, f, 6 in ascending order. f, 2/5, 6 Let f = -0.175 - -9.475. Let z = f + -6.3. Put -4, z, -5, 1 in descending order. z, 1, -4, -5 Suppose -7*t + 7 + 7 = 0. Put t, -5, 1, -1 in descending order. t, 1, -1, -5 Suppose 2*o = 4*s + 4 - 24, 25 = 5*s - 4*o. Sort -5, -4, s. -5, -4, s Suppose 4*o = -7*y - 2, -y - 8*o + 18 = -12*o. Suppose -1 - 8 = 3*u, 6 = -3*g - u. Sort
{ "pile_set_name": "DM Mathematics" }
3/64, 317, 4 in decreasing order. 317, 4, 63/64 Put 5, 252, 7038, 0 in decreasing order. 7038, 252, 5, 0 Sort -3, 0, -159, -22, -2, 28 in ascending order. -159, -22, -3, -2, 0, 28 Put 6, 428411, 0 in decreasing order. 428411, 6, 0 Sort -663, 5, -2886, 0, 3 in increasing order. -2886, -663, 0, 3, 5 Put -4558, 667, 7 in decreasing order. 667, 7, -4558 Sort -50486, 0.4, 4/29, -4. -50486, -4, 4/29, 0.4 Put 2, 1185, -3, 101 in ascending order. -3, 2, 101, 1185 Sort 5, -165, -0.23, -4, -60 in ascending order. -165, -60, -4, -0.23, 5 Put 4, -89, -24, 10, -136 in increasing order. -136, -89, -24, 4, 10 Sort -32, 5, 113/77, 3/4. -32, 3/4, 113/77, 5 Put 0, -5, 32, 4, 7, 218, 5 in decreasing order. 218, 32, 7, 5, 4, 0, -5 Put 5, 34, 4, -4, 348, -3 in ascending order. -4, -3, 4, 5, 34, 348 Sort 0.5, -6, -480596, 1/5, 5 in decreasing order. 5, 0.5, 1/5, -6, -480596 Put -5, -12.942, 0, 31 in decreasing order. 31, 0, -5, -12.942 Sort 1, -1, -5, -14, -20, 2, -1705 in descending order. 2, 1, -1, -5, -14, -20, -1705 Put -2/25, 1/8, -3/296801 in ascending order. -2/25, -3/296801, 1/8 Sort 5, 236, 4, -5, 1, 239 in descending order. 239, 236, 5, 4, 1, -5 Sort 2, -192, -6, 5, 58, 1, -1. -192, -6, -1, 1, 2, 5, 58 Sort 21, 4, -95, 24, -5, -105, 5 in increasing order. -105, -95, -5, 4, 5, 21, 24 Put 12, 42, 1, 4, -4, 1/4 in increasing order. -4, 1/4, 1, 4, 12, 42 Put 0.3, 2/15, 93, 5, -567/2 in descending order. 93, 5, 0.3, 2/15, -567/2 Sort -45, 9, -64, -3, 56, 5. -64, -45, -3, 5, 9, 56 Sort -11, 4, -67, 1, 51, 55 in descending order. 55, 51, 4, 1, -11, -67 Put -0.2, -0.3, -36, -1074/761, 1 in increasing order. -36, -1074/761, -0.3, -0.2, 1 Sort -3, -4, 30, -2, -23, 301, 1 in increasing order. -23, -4, -3, -2, 1, 30, 301 Put -4, 17, 4, -3, 941, 6, 3 in descending order. 941, 17, 6, 4, 3, -3, -4 Sort 12, 93, -208, 2, -1, -2 in descending order. 93, 12, 2, -1, -2, -208 Sort -2, -1, -17459268 in decreasing order. -1, -2, -17459268 Put 3.096, 4/9, -1/2, -5, 23, 0.5 in descending order. 23, 3.096, 0.5, 4/9, -1/2, -5 Put 0.27, 0.00101, -5, 5/4, -0.3 in decreasing order. 5/4, 0.27, 0.00101, -0.3, -5 Sort -3784, -2/16315, -1/4 in increasing order. -3784, -1/4, -2/16315 Sort 10, 8, -4/3, 160, 12, 1/4 in ascending order. -4/3, 1/4, 8, 10, 12, 160 Put -4/3, -507.53, 22, 1/41, -3 in increasing order. -507.53, -3, -4/3, 1/41, 22 Sort 641, 1389, 8 in descending order. 1389, 641, 8 Put 2, 57921, -3, 8, 0 in descending order. 57921, 8, 2, 0, -3 Put -2316/7, -16/407, -1 in ascending order. -2316/7, -1, -16/407 Put -3, -4, -1/7, -8 in descending order. -1/7, -3, -4, -8 Sort 294656, -1, 0, -2 in ascending order. -2, -1, 0, 294656 Sort -0.4, 18132839, 2, -1 in decreasing order. 18132839, 2, -0.4, -1 Sort -6, -7, -8, 0, 5, 1, -3105 in ascending order. -3105, -8, -7, -6, 0, 1, 5 Put 5, -11, -89, -114, 0, -18 in decreasing order. 5, 0, -11, -18, -89, -114 Sort -5/15732, 1/2, -2/433. -2/433, -5/15732, 1/2 Put -6, 1, -544338 in descending order. 1, -6, -544338 Sort 3926, -1, -14158 in descending order. 3926, -1, -14158 Put -1, 11, -4609, -11, -3 in increasing order. -4609, -11, -3, -1, 11 Put 27, -797, -2 in descending order. 27, -2, -797 Put 0.3, 0.1, 4, 4/7, 41, 4/23, 2 in descending order. 41, 4, 2, 4/7, 0.3, 4/23, 0.1 Sort -1, 3, 32.2, -326. -326, -1, 3, 32.2 Put 19.3, -51/2, -8, 2 in ascending order. -51/2, -8, 2, 19.3 Put -3, 3, -3858, 2, -5, -37 in decreasing order. 3, 2, -3, -5, -37, -3858 Sort -286033, -5, 4, 26 in decreasing order. 26, 4, -5, -286033 Put -61, -6634, -100 in decreasing order. -61, -100, -6634 Put -4324, 381, -3 in descending order. 381, -3, -4324 Sort -0.3, 2, -460, -14, 1, 1/82, 3 in increasing order. -460, -14, -0.3, 1/82, 1, 2, 3 Put 2, 10, -764, -6, -4, 5 in decreasing order. 10, 5, 2, -4, -6, -764 Put -5, -4, -3, 125, 2, 6, -36 in descending order. 125, 6, 2, -3, -4, -5, -36 Put 0.2, -2976, 12, 0 in ascending order. -2976, 0, 0.2, 12 Sort -5, 2457, -12, 13 in ascending order. -12, -5, 13, 2457 Sort 0.3, -10867, -0.5, 1/3, 4, 3 in decreasing order. 4, 3, 1/3, 0.3, -0.5, -10867 Sort -839, 7, 3, -30, -4, -40. -839, -40, -30, -4, 3, 7 Sort -6/725, -210/17, -3/10 in increasing order. -210/17, -3/10, -6/725 Sort -8, -5, -289, -1, 5, -7, -126 in decreasing order. 5, -1, -5, -7, -8, -126, -289 Sort 0.2, 0.05, -15.57, -44 in ascending order. -44, -15.57, 0.05, 0.2 Sort -36, 5, 1, 41, -10, -3, 8 in increasing order. -36, -10, -3, 1, 5, 8, 41 Sort -3, -5, 11956, -213, 4 in ascending order. -213, -5, -3, 4, 11956 Sort 10, 2.1, -28/1203 in decreasing order. 10, 2.1, -28/1203 Put 255, 4, 0, 23, -32, -1 in increasing order. -32, -1, 0, 4, 23, 255 Sort -4, -2, 293936, -8 in ascending order. -8, -4, -2, 293936 Put 3729, 0, -120 in ascending order. -120, 0, 3729 Sort 4090912, -4, 0.4. -4, 0.4, 4090912 Sort -2, -1496, 3, 69. -1496, -2, 3, 69 Sort 27, 35, 5, 2, 0.2, 6/13, -1/4 in increasing order. -1/4, 0.2, 6/13, 2, 5, 27, 35 Sort -36, -6640, 13. -6640, -36, 13 Put -2, 24, 9, 0, 27, -13, 5 in increasing order. -13, -2, 0, 5, 9, 24, 27 Sort -1, 207, 408226 in decreasing order. 408226, 207, -1 Put -5, 0, -4.82, -11, 4 in descending order. 4, 0, -4.82, -5, -11 Put 2, -10363, 2944 in descending order. 2944, 2, -10363 Put -893, -3, -1/9, -24, -0.08 in decreasing order. -0.08, -1/9, -3, -24, -893 Put -356, 5/14, -0.3, -3.78 in decreasing order. 5/14, -0.3, -3.78, -356 Sort 43, -38, 5/2, -673, -4/7 in increasing order. -673, -38, -4/7, 5/2, 43 Put -16/13, 0.4, 0.14, -4041 in decreasing order. 0.4, 0.14, -16/13, -4041 Sort -34948, -114, -1 in descending order. -1, -114, -34948 Sort -29, 886, 3, 1, 4/7, -3. -29, -3, 4/7, 1, 3, 886 Sort 3, -1, -3, 2, 1, 11, 5 in increasing order. -3, -1, 1, 2, 3, 5, 11 Put 0, -70, -2, -104206 in descending order. 0, -2, -70, -104206 Put 7, 2, -2, 0, -153, 5 in increasing order. -153, -2, 0, 2, 5, 7 Put -0.07, -4.5, -2/17, 1366/69 in descending order. 1366/69, -0.07, -2/17, -4.5 Sort 29845, 5, -2/21 in decreasing order. 29845, 5, -2/21 Sort 245, -13243, -3 in increasing order. -13243, -3, 245 Put -19, -18, -5862, 4, 0, 2 in descending order. 4, 2, 0, -18, -19, -5862 Sort -3, 3, 2, 16021490 in descending order. 16021490, 3, 2, -3 Sort 3, 3107/2, 220. 3, 220, 3107/2 Sort -87, 27, -774 in descending order. 27, -87, -774 Sort -34, -2, -98721. -98721, -34, -2 Sort -5, -1, 9, -9, 3, -35. -35, -9, -5, -1, 3, 9 Put -31315, -167, 3, 2 in decreasing order. 3, 2, -167, -31315 Sort -3, 10, 51, 5, -21124, 3 in decreasing order. 51, 10, 5, 3, -3, -21124 Sort -2, -429, -0.1418 in descending order. -0.1418, -2, -429 Sort -0.817, -0.62, -317. -317, -0.817, -0.62 Put -2, -865, 5, 3, 2924 in increasing order. -865, -2, 3, 5, 2924 Put 1, -2, 19884, -11, -9 in decreasing order. 19884, 1, -2, -9, -11 Put -2, 8268, 37, -3, 14 in descending order. 8268, 37, 14, -2, -3 Sort -25, -2, 3, 2908, 0, 2, -3 in increasing order. -25, -3, -2, 0, 2, 3, 2908 Put -4, -6090, 3483 in increasing order. -6090, -4, 3483 Sort -181, 30172, 5/12. -181, 5/12, 30172 Put 2865, 3, 4/3, -22, -5 in ascending order. -22, -5, 4/3, 3, 2865 Sort -62, 6/5, -117/233 in ascending order. -62, -117/233, 6/5 Sort 1, -5, 2, -15970 in descending order. 2, 1, -5, -15970 Sort 31, -2, -178886 in descending order. 31, -2, -178886 Sort 2, 1, 16, 218, -8, -4. -8, -4, 1, 2, 16, 218 Put 1, -69, -437, -3, 2, 3 in decreasing order. 3, 2, 1, -3, -69, -437 Sort 1011000, 5, 15. 5, 15, 1011000 Put 157, -58949, 0 in descending order. 157, 0, -58949 Sort -8, 2, 497000 in increasing order. -8, 2, 497000 Sort 2, -2, -4, -12714045, 5 in decreasing order. 5, 2, -2, -4, -12714045 Put 9, 17.3, -1, 0.04, 49 in increasing order. -1, 0.04, 9, 17.3, 49 Sort 70154175, 3, -3 in increasing order. -3, 3, 70154175 Sort -0.2, 11556, 2, 1/7 in descending order. 11556, 2, 1/7, -0.2 Sort 6, -45/4, -1554/5, -2, 3 in increasing order. -1554/5, -45/4, -2, 3, 6 Put -0.5, 2.77, 2/5, -0.84, 0.3, 7 in decreasing order. 7, 2.77, 2/5, 0.3, -0.5, -0.84 Sort -4, 37, -159, -6, 1, -5, 6 in ascending order. -159, -6, -5, -4, 1, 6, 37 Sort 3/8, -40, -2.5, -2847, -4. -2847, -40, -4, -2.5, 3/8 Put 1.5, 2/5, -4/87, 195 in ascending order. -4/87, 2/5, 1.5, 195 Put -355221, -16, 1, -3 in descending order. 1, -3, -16, -355221 Sort 0.895, 4, 3/8, 905/2, 32 in decreasing
{ "pile_set_name": "DM Mathematics" }
+ 10 + 0 + 16? -7 What is (3 - 7 - (17 - -2)) + 10? -13 Calculate (26 - (-3 - -4)) + 25 + -15 + -19. 16 Calculate -13 - (6 - ((5 - 12) + 5) - 6). -15 Evaluate -12 - 12 - -43 - (3 + -3 + 7). 12 What is the value of 2 + -1 + -4 + 13? 10 17 - (-2 - -32) - -27 14 What is -3 + 19 - ((-4 - 3) + (-20 - -24))? 19 Calculate 15 - (-5 + -13) - (9 - -5). 19 What is -237 + 247 + (-11 - -1)? 0 Evaluate -18 + 12 + 28 + -22. 0 -58 + (9 - -20) - -4 -25 8 + 2 + -10 - -6 6 What is -8 + -19 + 14 - -7? -6 Calculate (12 + -29 - -28) + 1 + -15. -3 Calculate -39 + 12 - -13 - -5. -9 Evaluate (-13 - 3) + -37 + 28 + (-1 - 2). -28 -11 - ((-9 - 8) + 6) 0 Evaluate (-2 - (1 + -13)) + 15 + -12. 13 Calculate 11 - (11 + -3) - (1 + -14). 16 Evaluate 2 - (-8 + (-4 - -16) + 13). -15 Evaluate 18 + (-4 + -13 - -1). 2 What is the value of (0 - -1) + (-15 - -6) + -3 + 4? -7 4 + 4 + (1 - (7 - -1)) 1 Evaluate -52 + 71 - (9 + -2). 12 Calculate 0 + -1 + -1 + -41 + -37 + 99. 19 What is the value of -7 - (1 - ((-3 + 4 - 7) + 10))? -4 What is 6 + 13 + (-14 - -6)? 11 Evaluate 10 + 1 + (-3 - (15 + -6)) + 6. 5 Evaluate (36 - 17) + 9 + -4 + (5 - 7). 22 What is (-15 - -6 - 10) + 16? -3 What is the value of -6 - (-22 - (-8 + -7))? 1 Calculate -170 + 165 + 12 + 1. 8 What is the value of (7 - (7 - (12 - 4)) - -1) + 11? 20 What is -6 + (4 - -11) + (6 - (1 - -12))? 2 What is the value of (6 - (2 + -1) - (-3 + 5)) + -12? -9 -8 + -1 + (6 - (3 + -3)) -3 What is 0 - (13 - (-4 + (5 - -4)))? -8 Calculate (41 - 45 - (2 + -7)) + -16. -15 What is (-4 - -9 - (6 + -4)) + 5 + -1? 7 Evaluate 164 - 166 - (-1 - 1). 0 Evaluate 17 - (8 + (8 - 5) + -10). 16 What is -4 - -2 - (-8 + 19)? -13 What is the value of (-2 - -8) + (-12 - (-16 + 28))? -18 11 - (-4 - (-7 + 2)) 10 -1 - 11 - (-38 + 79 - 75) 22 Evaluate -7 + 7 + (-7 + -3 - -1). -9 Calculate 31 + (24 - 74) - (1 - 17). -3 Evaluate -5 + 6 + (18 - -4) + -20. 3 What is 27 + -28 + (-11 - -23)? 11 1 + 76 + -64 + (-27 - 1) -15 Evaluate 12 + 3 + -33 + 26. 8 What is -3 + (-21 - -9) - -17? 2 What is 2 - (-7 - (17 + 10 + -23))? 13 What is 3 - (20 + -13 + -22)? 18 What is 22 + -1 - ((-12 - -19) + -4)? 18 (-36 - -4) + -174 + 172 -34 Evaluate -9 + 5 + 0 + 9. 5 What is the value of 11 - -20 - 21 - (-1 - -18)? -7 (9 - 27) + 3 - (-5 + -1) - -15 6 Evaluate (1 - -2) + (32 - (68 - 38)). 5 Evaluate -45 - (-72 + (-20 - -32)). 15 Calculate 7 + -5 + 3 + -7. -2 Calculate -3 - (-9 + 8 + 7 + -5). -4 Calculate 2 + -6 + -14 - -13. -5 What is 10 + 64 - (34 + 6)? 34 Calculate 26 + 8 + -3 + 9 + -18. 22 Calculate (23 - (43 + -27)) + -31. -24 What is -1 + (33 - 4 - 4) - 8 - 2? 14 Calculate -6 + (3 + -11 - (-18 - -12)) + 4. -4 Evaluate -9 - ((-19 - -1) + -11 + 7). 13 Evaluate 17 + -13 - 15 - -10 - -14. 13 Evaluate -6 + 26 - (-23 - -5) - 12. 26 Calculate 43 + 19 + -59 + (1 + 0 - 0). 4 What is 0 - (-5 + (-6 - 4) + 5)? 10 What is -14 - (17 + -15 + -2)? -14 Calculate 2 - -9 - (1 + 3 - (-1 + 6)). 12 What is the value of 1 + 15 + 51 + -55 + (-4 - -5)? 13 Evaluate -10 + (-115 - -103 - (-11 + 1)). -12 Evaluate 10 + (3 + -10 - (0 + -5)) + -4. 4 Calculate (4 - -5 - 2) + -5 + 2 + 11. 15 What is the value of (-21 - 3) + (30 - -10) + -45? -29 Calculate -11 + (20 - (22 - 10)). -3 What is (15 - (-1 - -6)) + (79 - 81)? 8 Evaluate 15 - ((36 - 19) + -1). -1 Calculate (-2 + 9 - (-24 + 26)) + -8 + 3. 0 Calculate 2 + -6 - (181 - 167). -18 (-36 - -51) + -22 + 17 10 Evaluate 10 - (3 - 1) - (-62 + 65). 5 What is (281 - 315) + -2 + 29? -7 Evaluate -4 + 11 + 10 + -11. 6 Calculate -17 - -4 - (1 - 14). 0 What is the value of -6 + 8 + (-2 - -18)? 18 -16 - ((18 - 4 - 26) + 22) -26 Calculate 22 - (3 + -3) - (566 + -567). 23 What is 21 + -1 - ((20 - 13) + -7) - -2? 22 Evaluate 11 - 0 - (-129 - -112) - 10. 18 What is the value of -36 - -31 - (5 + -13 + (-3 - -7))? -1 What is the value of 3 + -2 - -2 - (-15 - -8)? 10 What is (-2 + -10 + 1 - (135 - 138)) + -19? -27 What is 0 + 1 + 0 + -18 - (66 + -69)? -14 -7 + -2 + (-33 - -34) + -3 -11 Calculate 33 + -9 + (-11 - 9). 4 What is -6 + 4 + -1 + 21 + -8 + -10? 0 What is (-179 - -186) + (2 - (-9 - 1))? 19 What is (-24 - (35 - 49)) + (0 - -6)? -4 -15 + 1 + 14 + 44 + -46 -2 What is the value of -7 - (-19 + 4 + 5) - (11 + 0)? -8 Evaluate -1 + 6 + -83 + 77. -1 Evaluate -8 + -3 + 28 + -33. -16 What is the value of -4 - (1 + 18 + (-146 - -141) + -9)? -9 Evaluate 1 + 5 + (-11 - -26 - 22) + 2. 1 What is -3 + (26 - 17) + (2 - 17) - 14? -23 0 + -8 - (-14 - (1 + -5)) 2 What is the value of 7 + 26 - 42 - (-3 - (-21 - 3))? -30 Evaluate -21 - ((-21 - (-2 + -1)) + 9) - 5. -17 What is (-14 - -18) + -20 - -7? -9 322 + -334 - (0 + -10) -2 Evaluate 92 - 105 - (-2 + -1 + 3 + 2). -15 Calculate 11 + -19 - 10 - -22. 4 Calculate (-31 - (-1 + 0)) + -63 + 14 + 56. -23 What is -5 + -3 - (198 - 237)? 31 What is the value of -126 + 137 + (-4 - 20)? -13 What is 1 + 1 + 2 + (2 - (1 + 0))? 5 What is the value of 0 + 37 + (-15 - 3) + 9 + -4? 24 What is the value of 0 - (-3 - -17) - (-5 + 0)? -9 Calculate -11 + (-1 - 11) + 5 + 5. -13 What is the value of -5 - -13 - (23 + -16)? 1 What is the value of -20 + 5 + 2 - -14? 1 22 + (-10 - -6) + 3 + -11 - -13 23 What is the value of (49 - (-15 + 26)) + (5 - 5) + -4? 34 Evaluate (-3 - (-1 - -2 - 5)) + -7 + 2. -4 Calculate (11 - 2) + 6 - 16 - (0 + 5). -6 What is the value of -21 - ((-23 - -24) + -14)? -8 Evaluate -28 - (-23 + -50 + 19). 26 What is the value of -37 + 69 + -32 + -3 + 0? -3 Calculate -2 - 40 - (-75 - -55). -22 (18 - -1) + 111 + -123 7 -5 + 4 + -3 - (-152 - -141) 7 What is the value of 289 + -309 - (-3 - -4 - -16)? -37 What is the value of (-12 - -3) + (24 - 4) - 1? 10 Evaluate 0 - 14 - (-20 + 6 + 7). -7 (-6 + (-1 - -10) - -7) + 8 18 What is -15 + 64 - (19 - -8)? 22 Calculate ((-16 - -8) + 6 - -5) + 8. 11 What is the value of -15 - (-17 - (-42 - -21))? -19 Evaluate 1 - (11 + (6 - (-2 + 5 - 17))). -30 Calculate 4 + -24 + (19 - 7) + -3. -11 What is the value of -3 - (2 - 1 - (8 - 1 - 6))? -3 Evaluate 17 - 0 - ((9 - (-9 + 22)) + 9). 12 What is -362 + 379 + (-13 - 0)? 4 -1 + 3 + -6 + (-21 - -47) - 3 19 Evaluate 17 + (-31 - -5 - -15). 6 (0 - (11 - 1)) + -29 - (-7 + -2) -30 What is the value of 49 - 14 - (-18 + 22)? 31 What is 4 + (2 - -1 - 14) + -13? -20 What is the value of (-3 - -10) + 4 + -1 + (-2 - 1)? 7 Calculate -102 + 105 + -24 + -2. -23 (9 - 8) + 14 + -19 -4 What is the value of -2 - (0 + (0 - 0)) - (-627 + 612)? 13 (426 - 420) + 4 + -6 + (-2 - 2) 0 Calculate (-7 - (-51 - (-21 - -7))) + -13. 17 Evaluate (-39 - (1 + -1 - 13)) + 0. -26 Evaluate -12 + ((3 - 5) + 3 - (-23 - -18)). -6 162 - 142 - (3 - -13) 4 Calculate (2 + -15 - (8 + 19 + -31)) + -2. -11 Evaluate 18 - (-6 - (7 + -24)). 7 What is -26 + (11 - (0 + -5))? -10 Calculate -12 - (3 + -5) - (6 - (3 + 5)). -8 (-7 - 2) + 4 + (-97 - -104) + -29 -27 What is -14 + -31 - (-6 - 21)? -18 Calculate 38 - (-48 - -48 - (1 + -15)). 24 Evaluate 36 - ((-4 - (5 + 2) - -10) + -2). 39 Calculate (2 - (13 + 4)) + 70 + -31. 24 -32 - (-1 + -42 + 15 + 16) -20 (-17 - 50) + (38 - 4) -33 What is -5 + 5 + 1 + 5 + -12 + 12? 6 What is the value of 3 + 7 + -9 + 20 - (0 - 7)? 28 -56 + 19 + -3 + 18 -22 -1 - (-6 + (-9 - -19) + -5) 0 What is 0 - 7 - ((8 - -8) + -31 - -2)? 6 What is the value of ((-13 - -6) + 4 - -9) + 7? 13 What is -6 + (-8 - -17 - (-11 + -2))? 16 What is the value of 5 + (1 - ((-3 + 3 - 6) + 5))? 7 What is 26 - ((-18 - -11) + 16)? 17 (2 - (-10 + 22)) + -1 -11 Evaluate (-12 - (-2 - 0) - (28 - 35)) + 1. -2 What is -8 - (-310 + 302 + (-1 - -12 - 0))? -11 What is the value of 298 + -346 + 19 + 3? -26 Evaluate (5 - (2 - -2)) + (-16 - (-20 - -17)). -12 (0 + 1 + 1 - -2) + -3 1 -35 + -11 - (-46 + 35) -35 What is the value of (-24 - -12) + 7 + -12 + -4? -21 Calculate -25 - (-2 + -23) - ((3 - 2) + -9). 8 Evaluate (0 - 21) + 0 - -22. 1 Calculate (-2 - (-13 - -12)) + 27. 26 Evaluate 8 + (-6 - -26 - (16 - 5)). 17 What is (-2 - 30 - -48) + -2 + -45? -31 Calculate -9 + 18 - 9 - (1 + -1). 0 Evaluate 15 - (-5 + 8 + 34). -22 Evaluate -6 + (5 - (-1 + (-7 - -6))). 1 What is the value of 1 + -7 - ((-1 - 3) + 0 + 0)? -2 What is 0 - ((4 - 4) + 6 - 4 - 16)? 14 (2 - 25) + (-11 - 0) + 19 -15 What is 0 + -12 + 24 + -3 + 2 - 41? -30 -41 - 10 - (-42 + 10) -19 What is 6 - (-12 + 3 + 12 + -1 + 1)? 3 Evaluate 0 + (-21 + 21 - -23). 23 Calculate -20 + (-8 - -
{ "pile_set_name": "DM Mathematics" }
(m) - 4*i(m). 2*m**2 + m - 2 Let w(f) = f**3 + f**2 - 1. Let z(u) = -19*u**3 + 23*u**2 - 11*u - 23. Let c(s) = 20*s**3 - 21*s**2 + 10*s + 21. Let g(h) = 11*c(h) + 10*z(h). Give g(t) + w(t). 31*t**3 Let c(w) = 1081*w + 6. Let u(a) = -3238*a - 22. Determine 7*c(h) + 2*u(h). 1091*h - 2 Suppose -10*f = 223 - 73. Let x(k) = -21*k + 15. Let o(i) = i. Let y(d) = -1. Let p(b) = -3*o(b) - 2*y(b). Determine f*p(w) + 2*x(w). 3*w Let q = 7 - -1. Let s(m) = -q*m + 8*m**2 + 2 + 2 + 1 + 3*m. Let c(z) = 9*z**2 - 6*z + 6. Calculate 6*c(i) - 7*s(i). -2*i**2 - i + 1 Let t(q) = -36*q**3 - 10*q**2 - 4376*q. Let j(l) = 11*l**3 + 3*l**2 + 1458*l. Give -10*j(o) - 3*t(o). -2*o**3 - 1452*o Let r(t) = -94*t + 1797. Let h(b) = 165*b - 3592. Give 4*h(k) + 7*r(k). 2*k - 1789 Let f(n) = 2*n**3 - 16*n**2 + 9*n + 37. Let t(s) = 2*s**3 - 17*s**2 + 8*s + 28. Determine -6*f(o) + 7*t(o). 2*o**3 - 23*o**2 + 2*o - 26 Let z(s) = 263*s - 126. Let h(r) = -263*r + 158. Give 4*h(d) + 5*z(d). 263*d + 2 Let f(p) = -2*p + 5. Suppose 0 = 5*v + 3*s - 37, 3*v - 32 + 37 = 5*s. Let a(n) = -3*n + 4. What is v*f(w) - 6*a(w)? 8*w + 1 Let k(v) = -22*v + 17154. Let i(f) = 9*f - 8577. Determine -5*i(z) - 2*k(z). -z + 8577 Let y(m) = 56*m**3 + 8*m**2 - 8. Let t(f) = 19*f**3 + 3*f**2 - 3. Suppose 2*r + 3*d - 73 = -38, 5*r - d = 79. Calculate r*t(a) - 6*y(a). -32*a**3 Let z(r) = -20*r**2 - 15*r - 6. Let y(j) = j**2 + j + 1. What is -6*y(p) - z(p)? 14*p**2 + 9*p Let a(c) = -3*c**2 + 77*c + 4062. Let p(d) = -2*d**2 + 55*d + 2708. Determine 5*a(r) - 7*p(r). -r**2 + 1354 Let b(a) = -25*a**3 - 3*a. Suppose 5*d + 171 = 4*i, -i + 96*d = 97*d - 45. Let o(w) = -374*w**3 - 44*w. Determine i*b(h) - 3*o(h). 22*h**3 Let w(p) = 1. Suppose 19*t - 22*t - 3 = n, n + 4 = -4*t. Let i be (2 - (-4)/(-2))/(-1). Let y(h) = n + h + i - 3. Determine w(s) + y(s). s - 2 Let w(n) = 1. Let l(d) = 3*d + 96. Let x be l(-32). Suppose 3*c - 8 + 11 = x. Let y(a) = 2*a - 1. Calculate c*y(t) + 4*w(t). -2*t + 5 Suppose 16*w = -4153 + 4185. Let i(m) = m**3 - m - 1. Let l(r) = -8*r**3 + 7*r + 13. Determine w*l(c) + 14*i(c). -2*c**3 + 12 Let c(i) = -19*i**2 + 4*i - 4. Let f(x) = -x**3 - 24*x**2 + 25*x - 4. Let g be f(-25). Let w(a) = -18*a**2 + 3*a - 3. Calculate g*w(v) + 3*c(v). 15*v**2 Let a(o) = 369*o**2 - 2*o + 59. Let m(z) = 1106*z**2 - 6*z + 157. Determine -8*a(r) + 3*m(r). 366*r**2 - 2*r - 1 Let l(j) = -17*j**2 - 4*j. Let v(k) = 6*k**2 + k. Let o be (8/6)/((-10)/(-15)*(-2)/4). Give o*l(s) - 11*v(s). 2*s**2 + 5*s Let b(c) = 6*c**3 - 8*c**2 + 5*c + 2. Let l(w) = -3*w**3 - w**2 + w. Determine b(g) - 5*l(g). 21*g**3 - 3*g**2 + 2 Suppose 4*y = 3 - 23. Let p(d) = 3*d - 6. Let b(o) = -3*o + 5. Let s(q) = q**3 - 12*q**2 + 20*q - 6. Let l be s(10). Determine l*b(v) + y*p(v). 3*v Let w(h) = -h. Let o(t) = -t**3 + 9*t**2 - 10*t + 12. Let u be o(8). Let m(n) be the second derivative of -n**3 - 3*n**2/2 - 10*n - 229. What is u*w(l) + m(l)? -2*l - 3 Let f(q) = -95 - 7*q + 33 + q + 34 + 35. Let b(o) = 6*o + 20 - o - 23*o. What is 6*b(v) - 17*f(v)? -6*v + 1 Let b(t) = 7188*t - 271. Let y(x) = 2*x - 10. Give -2*b(z) + 54*y(z). -14268*z + 2 Let t(n) = -6*n**2 - 24*n + 5. Let y(h) = h - 1. Calculate t(a) + 2*y(a). -6*a**2 - 22*a + 3 Let c(d) = 14*d + 11. Let a(x) = -18*x - 14*x - 9*x - 5 + 1 + 36*x. Give 17*a(g) + 6*c(g). -g - 2 Let z(y) = -3*y**3 - 18*y**2 + 3*y + 18. Let n(x) = -2 + 19*x**2 + 0 - 18*x**2 + 6 - 5. What is 18*n(u) + z(u)? -3*u**3 + 3*u Let u(j) = 7*j - 5. Let x(p) = 84*p - 1 - 6 - 172*p + 6 + 89*p. Determine -u(o) + 6*x(o). -o - 1 Let j(c) be the first derivative of c**4/24 - c**3/6 - c**2 + 4. Let f(t) be the second derivative of j(t). Let p(v) = 4*v - 3. Give -6*f(d) + 2*p(d). 2*d Suppose 5*u + 13 = 13. Let k(s) = u + 2 - 14 - 5*s + 1. Let v be k(-3). Let o(h) = -2*h**2 + 6*h + 1. Let t(y) = y. Calculate v*t(r) - o(r). 2*r**2 - 2*r - 1 Let d(c) = 21*c**2 + 6*c + 2. Let l(g) = 46*g**2 + 13*g + 5. Calculate -11*d(s) + 5*l(s). -s**2 - s + 3 Let r(h) = h**2. Let g(p) = -2*p**3 - 8*p**2 - p - 2. What is g(i) - 3*r(i)? -2*i**3 - 11*i**2 - i - 2 Let w(o) = -5*o + 29. Let t be (-10)/(-55) - (-705)/55. Let u(a) = -2*a + 14. Let p(i) = t*u(i) - 6*w(i). Let d(v) = -v - 1. Give -8*d(m) - p(m). 4*m Let y(m) = 1599*m + 16. Let q(i) = 4803*i + 53. Give -3*q(o) + 10*y(o). 1581*o + 1 Let z(p) = 166*p - 1831. Let m be z(11). Let g(l) = l - 4. Let w(r) = r - 3. Determine m*w(o) + 4*g(o). -o - 1 Let k(x) = -3*x**3 - 5*x**2 + 5*x + 7. Let t(q) be the second derivative of -q**5/10 - q**4/2 + q**3 + 4*q**2 - 677*q. Calculate -6*k(h) + 5*t(h). 8*h**3 - 2 Let f(d) be the third derivative of d**5/10 - 1990*d**2. Let v(u) = 6*u**2. Give 2*f(i) - 3*v(i). -6*i**2 Let a(x) = -x**2. Let o be 16/(-1*(-2 - 0 - -1)). Suppose 0 = 4*b + 8 + o. Let u(d) = -8*d**2 - 1. Give b*a(y) + u(y). -2*y**2 - 1 Let z(y) = 72*y - 3041. Let s(i) = -93*i + 4054. Calculate -7*s(x) - 9*z(x). 3*x - 1009 Let z(c) = -61*c - 18. Let v(m) = 195*m + 56. Let w(h) = 6*v(h) + 19*z(h). Let s(p) = -33*p + 17. Give 3*s(x) + 8*w(x). -11*x + 3 Suppose 10*y = 14*y + 8. Let h(q) = 6*q**2 + 6*q + 16. Let r be (-22)/(-4) - 1/2. Let c(o) = -2 + 4 - 10 - o**2 + r - o. What is y*h(d) - 11*c(d)? -d**2 - d + 1 Let y(m) = 21*m - 3. Let x(h) = h**2 - 2. Let b(w) = 6*w**2 + 3*w - 3. Let d(j) = b(j) - 4*x(j). Let r be d(0). Let k(t) = -32*t + 5. Calculate r*k(q) + 8*y(q). 8*q + 1 Suppose -14 = 4*x + 4*w + 34, -4*w - 59 = 5*x. Let i(f) be the third derivative of -f**6/120 - f**3 + 25705*f**2. Let u(r) = -1. Calculate x*u(j) + 2*i(j). -2*j**3 - 1 Let w(d) be the second derivative of -3*d**2 + 1/6*d**4 - 1 + 0*d**3 + 11*d. Let j(s) = -1. Give 5*j(b) - w(b). -2*b**2 + 1 Let u = -58 - -10. Let r = 351059 + -351056. Let j(w) = -w**2 - 2*w**2 + 4*w**2. Let x(f) = 18*f**2. Determine r*x(b) + u*j(b). 6*b**2 Let b(a) be the second derivative of a**4/6 - a**3/6 - 2*a. Let c = 67 - 65. Let i(v) = -v**c - 10*v - 10*v + 21*v. Give -4*b(x) - 4*i(x). -4*x**2 Let l(t) = 9*t**3 + 26*t**2 - 7*t. Let s(c) = 5*c**3 + 12*c**2 - 4*c. Give 4*l(o) - 7*s(o). o**3 + 20*o**2 Let p(l) = 4*l. Suppose 0 = -4*k + 51 - 3. Suppose -k - 54 = -3*i. Let n(z) = -15 + 15 - 15*z. What is i*p(b) + 6*n(b)? -2*b Let z(f) = 3*f**2 + 3*f - 6. Suppose 5*l - 5*i - 79 + 109 = 0, -3*i = -4*l - 19. Let j(m) = m**2 + m. What is l*z(g) + 2*j(g)? -g**2 - g + 6 Let l(w) = -w - 1. Let m(g) = -5*g - 17. Let a(o) be the first derivative of o**2 + 8*o + 91. Let s(x) = 5*a(x) + 3*m(x). What is 6*l(i) - s(i)? -i + 5 Let g(a) = a. Let u(m) = -3*m + 1. Let d be (16/48)/(2/(-6))*(2 + 0). Determine d*g(n) - u(n). n - 1 Let r(d) = -12 + 29*d - 23*d**2 - 2 - 3. Let x(u) = -8*u**2 + 10*u - 6. Let l = -1494 - -1488. What is l*r(g) + 17*x(g)? 2*g**2 - 4*g Let m(h) = -36*h**2 - 21*h - 22. Let a(j) = 5*j**2 - j - 4. Determine -5*a(s) + m(s). -61*s**2 - 16*s - 2 Let x(l) be the second derivative of -l**4/12 - l**3 - 3*l**2 + 18244*l. Let j(v) = 2*v + 1 + 0 - v. Determine 5*j(u) + x(u). -u**2 - u - 1 Let y(p) = -p**2 + 2*p + 1. Let d(c) = -900*c**2 - 7*c - 4. Determine d(q) + 2*y(q). -902*q**2 - 3*q - 2 Let w(g) = 20*g**2 + 23*g + 20. Let o(b) = -b + 12. Let x be o(6). Let t(h) be the first derivative of -7*h**3/3 - 4*h**2 - 7*h - 278. What is x*w(i) + 17*t(i)? i**2 + 2*i + 1 Let z(b) = 67*b**3 + 4*b**2 + 7*b - 7. Let q(v) = 45*v**3 + 3*v**2 + 5*v - 5. Let c(j) = -8*j**2 + 285*j + 103. Let f be c(36). What is f*z(k) + 7*q(k)? -20*k**3 + k**2 Let r(x) = 56*x + 235 - 37*x - 120 - 109. Let g(l) = -18*l - 5. What is 4*g(v) + 3*r(v)? -15*v - 2 Let y = -25 + 48. Suppose 4*u - 5 - y = 0. Let p(q) = -2*q + 8. Let m(i) = -2*i + 9. Give u*p(s) - 6*m(s). -2*s + 2 Let g(d) = -282*d**3 - 4*d**2 - 4*d - 1. Let t(o) = 563*o**3 + 7*o**2 + 7*o + 2. Determine 7*g(q) + 4*t(q). 278*q**3 + 1 Let s(n) = -6*n**3 + n**2 + 4. Let g(a) = a**3 + 17*a**2 + 29*a - 14. Let m be g(-15). Let r(z) = -22 + z**3 + 20 + m. What is 3*r(w) + s(w)? -3*w**3 + w**2 + 1 Let t(f) = -f**3 + f - 1. Let j(q) = -41*q**3 - 8*q**2 + 2*q - 16. Let z(c) = j(c) - 2*t(c). Let i(m) = -26*m**3 - 5*m**2 - 9. Give -8*i(p) + 5*z(p). 13*p**3 + 2 Let o(a) = 5*a**2 - 126*a - 76. Let z(k) = 2*k**2 - 62*k - 38. Determine 3*o(b) - 7*z(b). b**2 + 56*b + 38 Let w(p) = -10*p - 8. Let x(r) = 64*r + 43. Let g(z) = -6*w(z) - x(z). Let m(q) = 4*q - 4.
{ "pile_set_name": "DM Mathematics" }
d. 120*d**3 + 288*d Let q(f) = -f**3 - f**2 - 2*f - 1. Let o(p) = -5*p**3 + 364*p**2 - 29*p. Let s(l) = o(l) - 4*q(l). What is the second derivative of s(m) wrt m? -6*m + 736 Let f = -375 - -808. What is the third derivative of -f*d**2 - 254*d**5 + 294*d**2 + 3*d**4 - 3*d**4 wrt d? -15240*d**2 Let s = -187 + 227. What is the derivative of -91 - o + 37*o + s*o + 18*o wrt o? 94 Let x(s) be the second derivative of -s**6/2 - 4*s**5 - 1301*s**4/12 - 1703*s - 2. Find the third derivative of x(o) wrt o. -360*o - 480 Let c(p) = p**2 - 2*p + 217. Let r be c(0). Differentiate -r*a**3 - 78 - 218*a**3 + 429*a**3 wrt a. -18*a**2 Let x = -85415/6 + 14242. Let c(a) be the second derivative of 0*a**4 + x*a**3 + 0*a**2 + 25*a + 19/20*a**5 + 0. Find the second derivative of c(f) wrt f. 114*f Let k(j) be the third derivative of 53/12*j**4 + 18*j**3 + 0*j + 0 + 114*j**2. What is the first derivative of k(y) wrt y? 106 Let k = 105 - 102. Differentiate 25*g**4 - 8*g**4 + 11 - k*g**4 wrt g. 56*g**3 Let r(b) be the third derivative of 2921*b**6/40 + 313*b**5/10 - 560*b**2 - b + 6. What is the third derivative of r(a) wrt a? 52578 Suppose -5 = -2*u + y, 2*u + 2*y + 4 = 6*y. Let q be (u/(-3) + 1 + -1)*-3. Differentiate 17 + 5*l**3 + l**3 - q*l**3 wrt l. 6*l**2 Let c(x) = 7*x**2 - 15*x**2 + 8*x + 9*x**2 + x**2 + 220. Let u(f) = -f**2 - 5*f - 109. Let s(i) = -2*c(i) - 5*u(i). Find the first derivative of s(z) wrt z. 2*z + 9 Let d(x) = 106*x - 222. Let q(n) = 212*n - 446. Let c(j) = -13*d(j) + 6*q(j). Let a(b) = 36*b - 70. Let l(p) = -14*a(p) - 5*c(p). Differentiate l(g) wrt g. 26 Let h = -412 + 418. Let u(p) = 21*p + 2. Let t be u(3). What is the third derivative of 40*j**h + 7*j**2 - t + 65 wrt j? 4800*j**3 Suppose 422*u = 383*u. Let m(r) be the third derivative of u*r + 0 + 7/3*r**3 - 5/12*r**4 - 6*r**2. What is the first derivative of m(x) wrt x? -10 Find the second derivative of 61*h**3 - 580*h - 119*h + 112*h wrt h. 366*h Suppose -2*u + 32 = -5*n - 32, 5*u = n + 183. Let v = u + -16. What is the second derivative of -208 + v*w + 208 + 21*w**2 wrt w? 42 Let i(h) = -h**3 - h**2. Let c(t) = -2061*t**3 + 127*t. Let u(y) = -c(y) - i(y). Find the third derivative of u(w) wrt w. 12372 Find the second derivative of 15989*y + 18785*y - 44561*y - 9365*y**4 + 16610*y wrt y. -112380*y**2 Suppose w - 5 = -2, w = 2*q - 2223. Suppose -8*a + 103 = -q. What is the second derivative of a + 2*x**5 - 152 + 13*x wrt x? 40*x**3 What is the third derivative of 22*m**2 - 312 - 134*m**2 + 311 - 72*m**2 + 656*m**3 wrt m? 3936 Let a be 114/4 - 6/(-5 - 7). Suppose x - 4*x - 25 = -5*i, 0 = -2*i + 5*x + a. Find the first derivative of 12 - 24*y**3 - 25*y**2 - 19*y**2 + 44*y**i wrt y. -72*y**2 Let v(g) be the first derivative of -g**7/7 - 20*g**5 + g**4/2 + 10*g**3/3 + 285*g - 5994. Find the third derivative of v(i) wrt i. -120*i**3 - 2400*i + 12 Find the third derivative of -245*h + 104*h - 177*h - 97*h**3 + 154*h**3 - h**5 + h**2 + 173*h**3 wrt h. -60*h**2 + 1380 Let j(z) be the first derivative of -z**6/3 - 187*z**5/5 - z**4/4 - 2048*z**2 - 2450. What is the second derivative of j(d) wrt d? -40*d**3 - 2244*d**2 - 6*d Let l(o) be the second derivative of 12*o + 0 + 7/12*o**4 + 2*o**2 + 1/3*o**3. Find the second derivative of l(y) wrt y. 14 Let c(n) be the first derivative of -113*n - 24 + 9/4*n**4 + 0*n**2 - 8/3*n**3. Differentiate c(x) with respect to x. 27*x**2 - 16*x Let d(g) = -g + 13. Let p(v) = v**3 - 4*v**2 + v + 7. Let m be p(4). Let j be d(m). Find the third derivative of -f**j - 2*f**5 + 0*f**5 + f**5 + 11*f**2 wrt f. -60*f**2 Let l = -543 + 978. Find the first derivative of -451*b - 40 - l*b + 939*b wrt b. 53 What is the second derivative of -1727*o - 1844*o - 10195*o**2 + 5038*o - 1681*o wrt o? -20390 Suppose -24 = -8*g + 104. Find the second derivative of 58*b**2 + 453 - 43*b + g*b - 453 wrt b. 116 Let d(i) be the first derivative of 97/2*i**2 - 110/3*i**3 + 0*i - 217. What is the second derivative of d(c) wrt c? -220 Let q(w) be the second derivative of -1847*w**7/42 - 223*w**3/2 + 461*w. Find the second derivative of q(n) wrt n. -36940*n**3 Let r(i) be the second derivative of 0*i**2 + 111*i + 9/2*i**4 + 0 + 0*i**3 + 1/10*i**5 - 1/6*i**6. What is the third derivative of r(n) wrt n? -120*n + 12 Let q(y) be the first derivative of -y**5/5 - 64*y**4 - y**3/3 + 101*y**2/2 + 3*y + 2770. Find the second derivative of q(k) wrt k. -12*k**2 - 1536*k - 2 Let x = -6389 - -6391. Let a(v) be the second derivative of 24*v - 8/3*v**3 + 0 + 6*v**x. What is the first derivative of a(f) wrt f? -16 Let m(c) be the second derivative of 1/10*c**5 + 55/2*c**2 + 1/3*c**3 - 3*c + 0*c**4 - 3. What is the derivative of m(p) wrt p? 6*p**2 + 2 Let d(m) = 6*m**3 + 2*m**2 - 1351*m - 678. Let f(z) = 4*z**3 + z**2 - 2*z. Let r(q) = -d(q) + 2*f(q). Find the first derivative of r(v) wrt v. 6*v**2 + 1347 Let c(r) = 10*r + 213. Let p be c(-21). Find the third derivative of 89*l**2 - 114*l**p - l**4 + 224*l**3 - 28*l**3 wrt l. -24*l + 492 Let z(q) = 1288*q + 753. Let p(b) = 1320*b + 754. Let x(t) = 4*p(t) - 3*z(t). What is the first derivative of x(v) wrt v? 1416 Let v be (-6)/39 - (2 - (-80)/(-13)). Let o = v + 4. Differentiate o - 8 + 15 - 12*p + 8 with respect to p. -12 Suppose -3*x = -7*x - 56. Let s(u) = -51*u - 47. Let g be s(x). What is the third derivative of 6*z**2 - g*z**3 - 15*z**4 + 14*z**2 + 667*z**3 wrt z? -360*z Let r(z) = -2905*z**4 - 36*z**3 - 3831*z**2 + 9*z + 9. Let k(a) = a**4 + 4*a**3 - a - 1. Let o(h) = -9*k(h) - r(h). Find the third derivative of o(s) wrt s. 69504*s Let l(h) be the first derivative of -539*h**5/5 - 5*h**4/4 + 2*h**3/3 - 14*h**2 + 125*h - 6058. What is the second derivative of l(o) wrt o? -6468*o**2 - 30*o + 4 Let z(a) be the first derivative of -11932*a**5/5 + 7075*a**2/2 + 10217. Find the second derivative of z(n) wrt n. -143184*n**2 What is the second derivative of -27*m**2 - 4*m**2 + 33*m**2 + 118*m**2 + 27 + 110*m**2 + 11*m wrt m? 460 Let k(a) be the third derivative of -a**8/336 - 83*a**6/30 + 2499*a**4/8 + 496*a**2 + a - 4. Find the second derivative of k(w) wrt w. -20*w**3 - 1992*w Let q(o) = o + 2. Let a be q(6). Find the third derivative of -6*s**2 - 384*s - 34*s**4 + a*s**4 - 2 + 384*s wrt s. -624*s Let s(v) = 5*v**3 - 3*v + 3. Let t be s(1). Suppose t*h - 2 = 18, 4*r - h = 112. What is the derivative of 7 + 7 + 10 - r*w - 7 wrt w? -29 Suppose -14*w + 191 = -187. What is the second derivative of -11*i - 9*i - w*i + 185*i**4 - 46*i wrt i? 2220*i**2 Let l be (30 - 0)*4/5. Let r = l - 7. Find the first derivative of -r*i**4 - 17 - 3*i**4 + 2*i**4 wrt i. -72*i**3 Let o(r) be the first derivative of -62 - 42/5*r**5 + 0*r**4 + 31/2*r**2 + 0*r**3 + 0*r. What is the second derivative of o(q) wrt q? -504*q**2 Let j(t) be the third derivative of 301*t**5/20 + 1271*t**4/24 + 6461*t**2. Find the second derivative of j(p) wrt p. 1806 Let o(w) be the first derivative of 497*w**4/2 + 916*w - 934. What is the derivative of o(y) wrt y? 2982*y**2 Suppose -4*r + 6*r = 162. Suppose -120*m = -137*m + 323. Find the third derivative of 7*u**4 + 106*u**2 - m*u**4 - r*u**2 wrt u. -288*u Let o(n) = -7*n - 40. Let h be o(-6). Find the third derivative of 44*u**6 - 38*u**2 + 13*u + 22*u**h + 17*u**2 - 45*u wrt u. 5280*u**3 Let l(v) be the first derivative of 365*v**3 - 2547*v**2 - 6418. Find the second derivative of l(z) wrt z. 2190 Let r(c) be the first derivative of 1612*c**3/3 - 2101*c**2 - 3987. Find the second derivative of r(f) wrt f. 3224 Let q(o) = 84*o**3 - 97*o + 3. Let p(v) be the first derivative of -v**4/4 + v**2 - v + 37. Let u(m) = 3*p(m) + q(m). Find the second derivative of u(h) wrt h. 486*h Let v be 5/(1 + (-1)/2). Let p(l) = -3*l**2 + l. Let f(u) = -20*u**2 - 101*u. Let i(t) = v*p(t) - 2*f(t). Find the second derivative of i(w) wrt w. 20 Let w be 6/10 + (-186)/(-15)*1. Let p(s) = s**2 - 12*s - 10. Let n be p(w). What is the second derivative of -12*t + 12*t**3 + n*t + 23*t wrt t? 72*t Let u(m) = 5*m**2 + 1 + 2*m**2 - 2*m - m**2. Let v be u(-2). Find the first derivative of -37 + 0 + v*i + 11 wrt i. 29 Let m(i) = 2*i**2 + 4*i - 10. Let q be (6 - (3 - 2)) + -11. Let n(w) = w**2 + w - 2. Let r(o) = q*m(o) + 30*n(o). Find the second derivative of r(g) wrt g. 36 What is the
{ "pile_set_name": "DM Mathematics" }
nd the third derivative of 2*b**2 + 2*b**m - 3*b**2 - b**2 + 5*b**2 wrt b. 12 Let c(n) be the third derivative of -n**7/35 - n**4/4 - 3*n**2. Find the second derivative of c(f) wrt f. -72*f**2 What is the first derivative of -25 - 26*u**3 + 681*u - 681*u wrt u? -78*u**2 Let p(d) = d**3. Let n = 4 - 3. Let j(o) = 2*o**3 + 1. Let w(h) = n*j(h) - 3*p(h). What is the derivative of w(y) wrt y? -3*y**2 Let r(a) = 6*a**2 + 7*a - 3. Let d(z) = 7*z**2 + 8*z - 4. Let w(o) = 3*d(o) - 4*r(o). Find the second derivative of w(i) wrt i. -6 Let r = -15 - -21. What is the second derivative of 4*k - 2*k + 5*k**5 - r*k wrt k? 100*k**3 Find the second derivative of -8*p + 38*p**5 + 0*p - 15*p**5 wrt p. 460*p**3 Let o be -5 + 1 - (9 + -15). What is the derivative of o + 7 + 4 - 3*h**3 - 14 wrt h? -9*h**2 Find the third derivative of 7*p**3 - 8*p**3 + 5*p**4 + 6*p**2 + p**3 wrt p. 120*p What is the third derivative of 4*z**2 - 1 - 4 + 5 - 2*z**5 wrt z? -120*z**2 What is the third derivative of 2*b**3 + 3*b**2 + 0*b**2 - 5*b**3 + 0*b**2 wrt b? -18 Let n = 8 + -6. What is the second derivative of -2*v**2 - 55 + 9*v**n + 55 - 6*v wrt v? 14 Let o(v) be the first derivative of -4*v**4 + 5*v**3/3 - 18. What is the third derivative of o(m) wrt m? -96 What is the third derivative of 52*z**3 + 4*z**6 - 4*z**2 - 52*z**3 wrt z? 480*z**3 Find the third derivative of -14*s**2 + 6*s**5 + 6*s**2 - s**5 wrt s. 300*s**2 Suppose 0 = t - 1 - 1. What is the third derivative of -q**2 + 2 - 2 - 7*q**t - 4*q**3 wrt q? -24 Let l be -16 + 2 - -1 - -1. Let d = l - -17. What is the derivative of -p**3 + 2 - d - p**3 wrt p? -6*p**2 Suppose -3*y + 2*h = -6*y + 19, -4*h = 5*y - 35. Find the second derivative of y*i**3 + 2*i + 7*i - 5*i wrt i. 18*i Let k(u) be the second derivative of 0*u**2 - 5/42*u**7 - 3*u + 1/3*u**3 + 0 + 0*u**6 + 0*u**5 + 0*u**4. Find the second derivative of k(n) wrt n. -100*n**3 Let t(g) be the third derivative of -g**8/84 - g**5/30 + 4*g**2. What is the third derivative of t(h) wrt h? -240*h**2 Let c(t) = -t**3 - 11*t - 6. Let h(w) = -w**3 - w - 1. Suppose 0 = 12*r - 7*r - 5. Let j(p) = r*c(p) - 6*h(p). Find the second derivative of j(q) wrt q. 30*q Differentiate 7*q**3 - 6*q**2 - 7 - 4*q**3 + 6*q**2 wrt q. 9*q**2 Let z(p) be the first derivative of -9*p**4 - 2*p**2 - p - 49. Find the second derivative of z(r) wrt r. -216*r Let v(i) be the second derivative of -17*i**5/20 - 18*i**2 - 27*i. Differentiate v(u) with respect to u. -51*u**2 Let t(g) be the second derivative of g**7/105 - g**3/6 - g**2/2 + 4*g. Let y(s) be the first derivative of t(s). What is the first derivative of y(i) wrt i? 8*i**3 Let z(x) be the third derivative of 11*x**8/336 + x**4/6 - 10*x**2. Find the second derivative of z(s) wrt s. 220*s**3 Find the third derivative of 32*z**2 - 4*z**6 + 27*z**2 + 3*z**6 - 55*z**6 wrt z. -6720*z**3 Let b be 5 + 1/(-3 - -2). Suppose 0 = -2*i + b*i - 4. Find the third derivative of p**2 - 3*p**2 + 3*p**i + p**3 wrt p. 6 Let p(g) = g**2 - 5*g + 6. Let q be p(5). Find the second derivative of -2*m**4 + 2*m**4 - m**4 + q*m + 0*m**4 wrt m. -12*m**2 Suppose 0 = 3*r + 2 - 32. Find the second derivative of -3*z - z**3 + r*z - 2*z wrt z. -6*z Suppose 0 = -3*v + 1 + 2, -x + 2*v - 1 = 0. Differentiate -4*g**4 + 2 + x - 7 wrt g. -16*g**3 Let c(p) = -4*p**3 - 5*p**2 - 3*p + 3. Let x(s) = -s**3 + s - 1. Let d(r) = c(r) + 3*x(r). What is the third derivative of d(n) wrt n? -42 Let a(f) be the third derivative of -f**6/30 - 3*f**3/2 + 14*f**2. Differentiate a(z) with respect to z. -12*z**2 Let i = -12 + 12. Find the third derivative of 2 - 7*f**2 - f**3 - 2 + i*f**3 wrt f. -6 Let d = 13 + -10. Find the first derivative of -5 + 4*k + k - d*k wrt k. 2 Let h(l) = 3*l**2 + 2. Let t = -26 + 20. Let p(v) = -4*v**2 - 1 - 1 + v**2. Let c(n) = t*p(n) - 5*h(n). What is the first derivative of c(q) wrt q? 6*q Let b be (-2)/(((-16)/36)/2). What is the third derivative of -5*y**2 - b*y**6 - 3*y**2 - y**2 wrt y? -1080*y**3 Let z = -4 + 5. Let o be z/((-21)/12 + 2). Find the third derivative of 9*u**4 + 2*u**2 - 6*u**4 - o*u**2 wrt u. 72*u Let q be (-2)/14 - 75/(-35). What is the third derivative of -5*a**2 - 4*a**3 + 5*a**3 + 4*a**q wrt a? 6 Let j be (2 - 0) + -1 + 1. Let v(o) be the first derivative of o - j + 0*o**2 - 1/3*o**3. Differentiate v(a) wrt a. -2*a Find the second derivative of 2*g + 8*g - 5*g**3 - 3*g wrt g. -30*g What is the first derivative of 38 - 7*f**3 - 31 - 9*f**3 wrt f? -48*f**2 Find the third derivative of -a**2 - 63*a**5 - 31*a**2 - 65*a**5 + 103*a**5 wrt a. -1500*a**2 Find the second derivative of y - 4*y - y - 6*y**2 + 3*y wrt y. -12 Suppose l = 3*l - 6. Suppose -l*s = -5*m - 9, -m + 3*s - 5*s + 6 = 0. Find the third derivative of -n**5 + m*n**2 + n**2 - n**5 wrt n. -120*n**2 Let w(a) be the third derivative of -a**8/84 + 17*a**5/60 + 19*a**2. Find the third derivative of w(s) wrt s. -240*s**2 Let p(o) be the second derivative of -3*o**5/20 - o**4/2 + 2*o. Find the third derivative of p(j) wrt j. -18 Let y = -1 + 12. What is the first derivative of 0 - 4 + y + 6*x**2 wrt x? 12*x Let w be 2*1 + (-12 - -10). Find the second derivative of w*n**2 + 6*n**4 + 11*n - 10*n + 0*n**2 wrt n. 72*n**2 Suppose 4 = 4*u, f + 4 = 4*f + u. What is the derivative of 1 + 0 - 2*m**4 + f - 1 wrt m? -8*m**3 Let u(b) be the third derivative of -b**7/420 + b**5/20 - 2*b**3/3 - 4*b**2. Let x(d) be the first derivative of u(d). Find the second derivative of x(y) wrt y. -12*y What is the third derivative of 20*a - 13*a**6 - 20*a + 6*a**2 + 4*a**2 wrt a? -1560*a**3 Let q be 0 + 2/(-4)*-4. What is the second derivative of -2*x**2 + 4*x - 5*x + 5*x - 2*x**q wrt x? -8 Let k = 3 + 3. Suppose -k*g + 10 = -g. Find the second derivative of -3*w**2 + g*w + 0*w + 3*w**2 - w**4 wrt w. -12*w**2 Let s(h) = -h**3 + h. Suppose -w + 4*w = 9. Let f(j) = -4*j**3 - w*j + 3*j + 2*j. Let z(i) = f(i) - 3*s(i). Find the second derivative of z(b) wrt b. -6*b Let q(f) = f**3 + f**2. Suppose -4 = i - 3. Let x(s) = -9*s**3 - 6*s**2 - 6*s. Let m(v) = i*x(v) - 6*q(v). Find the second derivative of m(d) wrt d. 18*d Let k(j) be the third derivative of -j**4/6 + j**3 - 13*j**2. Differentiate k(s) wrt s. -4 Let c(o) be the first derivative of -1/3*o**3 + 0*o**5 - 3 + 0*o**4 + 0*o**2 + 0*o + 2/3*o**6. What is the third derivative of c(v) wrt v? 240*v**2 Find the second derivative of -2*o**5 + o**5 - 4*o + 7*o - 4*o**5 wrt o. -100*o**3 What is the second derivative of -9*s - 6*s**4 + 0*s**4 - 6*s wrt s? -72*s**2 Let w be 3/6*0/(-1). Let g = w - -2. What is the third derivative of -2*f**3 - 2 + 2*f**2 + g wrt f? -12 Suppose 7 = 3*a - 5. Differentiate 7 + a - 20 + v**3 with respect to v. 3*v**2 Let q(a) be the second derivative of -5/12*a**4 + 0 - 2*a**2 - 4*a + 0*a**3. Differentiate q(c) with respect to c. -10*c Suppose x - 2*q - 1 = 0, -3*x - 6*q = -4*q + 37. Let v = x - -13. What is the second derivative of -2*z - 5*z**3 + z + v*z**3 wrt z? -6*z Let u(w) be the third derivative of -w**9/56 - w**5/12 - 9*w**2. What is the third derivative of u(d) wrt d? -1080*d**3 Find the third derivative of -6*t**6 + 9*t**6 - 7*t**6 - t**2 wrt t. -480*t**3 Let z(i) = 11*i**4 + 3*i**3 - 3*i + 2. Let v(x) = -10*x**4 - 2*x**3 + 2*x - 2. Let q(b) = -3*v(b) - 2*z(b). Differentiate q(u) wrt u. 32*u**3 Let w(m) be the third derivative of 11*m**8/168 + 7*m**5/20 - 3*m**2. What is the third derivative of w(d) wrt d? 1320*d**2 Let r(y) = -y**2. Let q(v) = 2*v**2 - 1. Let c(z) = -3*q(z) - 7*r(z). What is the first derivative of c(h) wrt h? 2*h Let c be 1/(-5) - (-4)/20. Let x(r) be the first derivative of 0*r**3 + 1/5*r**5 + c*r**2 + 0*r**4 + 3 + r. What is the derivative of x(a) wrt a? 4*a**3 Let y(h) be the second derivative of h**6/45 - h**5/40 - h**3/6 + 2*h. Let d(o) be the second derivative of y(o). What is the second derivative of d(k) wrt k? 16 Let i(v) be the first derivative of 3*v**7/7 - 5*v**3/3 + 5. Find the third derivative of i(w) wrt w. 360*w**3 Let h(d) be the first derivative of d**6/30 + d**4/6 - 4*d - 3. Let c(k) be the first derivative of h(k). Find the third derivative of c(n) wrt n. 24*n Find the second derivative of 20*l**2 - 7*l**2 + 24*l + 12*l**2 wrt l. 50 Let n be ((-8)/12)/(2/(-6)). Suppose -2*z - 5*h = -4, n*z - 4 = -5*h +
{ "pile_set_name": "DM Mathematics" }
+ 1 + 0 - 3*c + 13. -3*c + 24 Collect the terms in -3491*z + 7065*z - 3519*z. 55*z Collect the terms in 13 - 25 + 10*z + 2*z + 10 - 4*z - 12*z. -4*z - 2 Collect the terms in -168*j - 337*j + 12311 - 12313. -505*j - 2 Collect the terms in 4*k**3 - 19*k**3 + 6*k**3 + 63*k + 11*k**3 - 46*k. 2*k**3 + 17*k Collect the terms in -31*t - 9*t - 42*t + 63*t. -19*t Collect the terms in 7269995*m**2 - 77*m**3 - 7269995*m**2 + 14*m**3. -63*m**3 Collect the terms in 39*u**3 - 31*u**3 - 23*u**3. -15*u**3 Collect the terms in -1553*q + 516*q + 518*q + 522*q. 3*q Collect the terms in -1378 + 444 - 2*f**2 + 485 + 449. -2*f**2 Collect the terms in -27*g**3 + 8*g**3 + 17*g**3 - 49 + 155. -2*g**3 + 106 Collect the terms in 140*j**2 - 10*j**2 - 106*j**2 - 18*j**2. 6*j**2 Collect the terms in 127*n**2 - 3*n + 3156 + 3*n - 3156. 127*n**2 Collect the terms in 436*n**2 - 2527 + 2527. 436*n**2 Collect the terms in -4 + 23*n + 30*n + 1 + 36*n - 66*n. 23*n - 3 Collect the terms in -133*t**2 + 66*t**2 - 266*t**2. -333*t**2 Collect the terms in -146*l + 9*l + 4*l**2 + 131*l + 6*l. 4*l**2 Collect the terms in -5 + 1234*x - 17 - 13 + 46. 1234*x + 11 Collect the terms in -i**2 + 112910723*i - 112910723*i. -i**2 Collect the terms in 16615*a**2 - 10649*a**2 - 5970*a**2. -4*a**2 Collect the terms in -64888*f**3 + 21628*f**3 + 21633*f**3 + 21629*f**3. 2*f**3 Collect the terms in 455*w**3 - 164*w**3 - 294*w**3. -3*w**3 Collect the terms in -9*m**3 - 8*m**3 + 5 - 8 + 3. -17*m**3 Collect the terms in 5 + 133*n - 12*n + 54*n - 25*n. 150*n + 5 Collect the terms in -43 + 15 + 902*q**2 + 16 + 12. 902*q**2 Collect the terms in -3*f**3 - 90*f**2 - 172*f**2 + 2*f**3 - 124*f**2. -f**3 - 386*f**2 Collect the terms in -15*b**2 + 71*b**2 + 2*b**2 - 16. 58*b**2 - 16 Collect the terms in -7131*t**2 + 2388*t**2 + 2368*t**2 + 2371*t**2. -4*t**2 Collect the terms in -26*w**3 - 3559*w + 7121*w - 3562*w. -26*w**3 Collect the terms in 13878 + 8752*c**3 - 13878 - 8769*c**3. -17*c**3 Collect the terms in 22 - 5*o - 59 + 19 + 18. -5*o Collect the terms in -114345 - 16*z**3 + 114345. -16*z**3 Collect the terms in -11*g**3 + 9048*g - 9048*g + 3. -11*g**3 + 3 Collect the terms in 15*q**3 - 238*q**2 + 238*q**2. 15*q**3 Collect the terms in 2*d**2 + 55*d + 8*d - d**2. d**2 + 63*d Collect the terms in -2*f + 16*f**2 + 4*f**2 + f + 12*f**2. 32*f**2 - f Collect the terms in -6717*w + 13423*w - 6695*w. 11*w Collect the terms in -908 - f + 316 + 309 - 2*f + 283. -3*f Collect the terms in -176*a + 137*a + 41*a. 2*a Collect the terms in -3*z - 131794*z**2 + 3*z + 133213*z**2. 1419*z**2 Collect the terms in 20*b**2 - 32929 + 32929. 20*b**2 Collect the terms in 38736480*c**2 - 38736480*c**2 - 2*c**3. -2*c**3 Collect the terms in -25*z + 5*z - 11*z - 3 - 23*z + 13*z. -41*z - 3 Collect the terms in 522*m**3 + 19*m**2 + 14*m**2 - 33*m**2. 522*m**3 Collect the terms in 3*v**3 - v**3 + 7*v**3 - 2*v**3 - 3*v - 3*v**2. 7*v**3 - 3*v**2 - 3*v Collect the terms in 4*x**2 - 5*x - 3*x - 6*x - 6*x**2 + 14*x. -2*x**2 Collect the terms in 488*q + 507*q - 1518*q + 497*q. -26*q Collect the terms in -526*f**3 + 1263*f**3 - 740*f**3. -3*f**3 Collect the terms in 1415*q**3 - 4267*q**3 + 1435*q**3 + 1419*q**3. 2*q**3 Collect the terms in -2504*c + 7 + 1032*c - 7 + 5. -1472*c + 5 Collect the terms in 20725*c**3 + 1311*c**3 + 41096*c**3. 63132*c**3 Collect the terms in 41730*v - 92014*v - 54874*v. -105158*v Collect the terms in 32*o**3 + 7*o**3 + 13*o**3. 52*o**3 Collect the terms in -7*w - 4 + 47*w - 5*w + 0*w - 14*w. 21*w - 4 Collect the terms in 1 + 1463*y - 1457*y - 1 - 24*y**2. -24*y**2 + 6*y Collect the terms in -n - 154 - 15 - 42 + 4*n - n. 2*n - 211 Collect the terms in 98*v - 299*v + 101*v + 100*v + 64*v**2. 64*v**2 Collect the terms in -366*i + 1093*i - 359*i - 363*i. 5*i Collect the terms in -96*d**2 + 217*d**2 - 117*d**2. 4*d**2 Collect the terms in 3 + 22797108*v**3 - 22797103*v**3 - 3. 5*v**3 Collect the terms in 5*g**2 - 515*g + 1534*g - 1019*g. 5*g**2 Collect the terms in -14*p**2 - 9*p**2 - 13*p**2 - 15*p**2 + 55*p**2. 4*p**2 Collect the terms in -443*q**3 + 1316*q**3 - 436*q**3 - 436*q**3. q**3 Collect the terms in 2*b - 324 - 250 + 324. 2*b - 250 Collect the terms in -3 + 1 - 13*u**2 + 19*u**2 + 19*u**2 + 15*u**2. 40*u**2 - 2 Collect the terms in 62*j - 28*j + 3*j - 2. 37*j - 2 Collect the terms in 4*d**2 - 18*d + 44*d + 37*d. 4*d**2 + 63*d Collect the terms in -o - 177*o**2 + 442*o**2 + o. 265*o**2 Collect the terms in 114*g**2 - 11*g + 116*g**2 - 221*g**2. 9*g**2 - 11*g Collect the terms in -6*b**3 - 17*b**3 - 9 - 3 + 34*b**3 + 12. 11*b**3 Collect the terms in -18*z - 476*z**3 + 466*z**3 + 18*z. -10*z**3 Collect the terms in 555*k**3 - 2 - 777*k**3 + 606*k**3. 384*k**3 - 2 Collect the terms in -469998 + 8*c**3 + 469998. 8*c**3 Collect the terms in -844380*c + 844380*c + 41*c**2. 41*c**2 Collect the terms in 0 + 5*v + 85*v**3 - 312*v**3 + 1. -227*v**3 + 5*v + 1 Collect the terms in -221*u + 26*u + 181*u. -14*u Collect the terms in -107*o**2 - 127*o**2 + 41*o**2 - 11*o**2. -204*o**2 Collect the terms in -948 + 500 + 429 + 2*l. 2*l - 19 Collect the terms in -474*t**3 + 9*t**2 + 12*t**2 + 75*t**3 - 21*t**2. -399*t**3 Collect the terms in 444*o**2 - 2235*o**2 - 2654*o**2. -4445*o**2 Collect the terms in 14287 + 15*z**2 + 14283 - 28570. 15*z**2 Collect the terms in 4471*u**3 - u**2 - u**2 - 4*u - 4449*u**3 + 4*u. 22*u**3 - 2*u**2 Collect the terms in 6 + 191*n**2 + 25*n**2 - 3 - 46*n**2. 170*n**2 + 3 Collect the terms in 4*m - 5926*m**3 - 4*m + 5921*m**3. -5*m**3 Collect the terms in -12*v**2 + 5*v**2 + 7*v**2 + 33316*v**3. 33316*v**3 Collect the terms in -25427*g**3 + 50845*g**3 - 25419*g**3. -g**3 Collect the terms in -1579*t**3 + 3230*t**3 - 1656*t**3. -5*t**3 Collect the terms in -125*x + 36*x**2 - 15*x**2 - 19*x**2. 2*x**2 - 125*x Collect the terms in 676*v**2 - 333*v**2 + 548 - 334*v**2 - v. 9*v**2 - v + 548 Collect the terms in -11*w - 74 + 42 + 18. -11*w - 14 Collect the terms in -142*f**2 - 18812103*f + 18812103*f. -142*f**2 Collect the terms in -6*j - 3*j - 4*j + 10*j - 78. -3*j - 78 Collect the terms in -4 + 4 - 94*r - 256*r. -350*r Collect the terms in 125*w + 129*w + 96*w + 3*w - 350*w. 3*w Collect the terms in 1114 - 1114 - 636*j**3 - 543*j**3. -1179*j**3 Collect the terms in 6466*r - 971*r + 1099*r. 6594*r Collect the terms in -38 - 7*j - 39 - 25 + 102. -7*j Collect the terms in 0*m - 5*m - 14*m**2 - m - 2*m. -14*m**2 - 8*m Collect the terms in -36*p - 47 + 3*p - 204. -33*p - 251 Collect the terms in -270*r**3 + 138*r**3 + 152*r**3. 20*r**3 Collect the terms in 4693530*d - 4693530*d - 23*d**3. -23*d**3 Collect the terms in -92 + 52 + 38 - 64*y. -64*y - 2 Collect the terms in -5*p**3 + 121 - 249 - 18*p**3 + 127. -23*p**3 - 1 Collect the terms in -6*u**3 - 21*u**3 + 50*u**3 - 22*u**3 - 10*u**3. -9*u**3 Collect the terms in 212*p + 245*p + 216*p + 216*p - 871*p. 18*p Collect the terms in -i**3 + 0*i - i + 191*i**3 + i. 190*i**3 Collect the terms in -1561*t + 384*t + 400*t + 394*t + 383*t + t**2. t**2 Collect the terms in -3698*r**3 - 2963*r**3 + 183*r**3. -6478*r**3 Collect the terms in -195*i**3 + 167*i**3 - 4*i**2 + 4*i**2. -28*i**3 Collect the terms in -2*i**2 + 4*i - 4*i - 194 - 175 + 367. -2*i**2 - 2 Collect the terms in 813*p**3 - 413*p**3 - 437*p**3. -37*p**3 Collect the terms in -11990*w - 759*w + 1430*w. -11319*w Collect the terms in -46*c - 4 + 10 - 5 - 1. -46*c Collect the terms in -163*m - 358*m - 68*m + 23*m. -566*m Collect the terms in -113*p - 204*p + 51 - 51 - 151*p. -468*p Collect the terms in -655*z + 655*z + 153*z**3. 153*z**3 Collect the terms in -15 - 14 + 15 + 1793*p. 1793*p - 14 Collect the terms in -157*a**3 - 123*a**3 + 27*a**3 + 2*a**3. -251*a**3 Collect the terms in 5*v**3 + 171043*v**2 - 171043*v**2 + 17*v**3 - 7*v**3. 15*v**3 Collect the terms in 3253 - 236*d - 3253. -236*d Collect the terms in -38 - 6 + d**2 - 2*d**2. -d**2 - 44 Collect the terms in 140*g**3 + 134*g - 267*g + 131*g. 140*g**3 - 2*g Collect the terms in 204*r**2 - 478 + 478 - r. 204*r**2 - r Collect the terms in -198*z - 24*z + 220*z. -2*z Collect the terms in 912*q - 509*q - 476*q. -73*q Collect the terms in 3*t**2 - t**2 - 300*t + 3*t**2 - 2*t**2. 3*t**2 - 300*t Collect the terms in -135*r**2 + 401*r**2 - 138*r**2
{ "pile_set_name": "DM Mathematics" }
d? False Suppose -216 = -0*q - 4*q + 2*j, 2*j - 270 = -5*q. Let d = q + -22. Does 16 divide d? True Let l be ((-8)/(-6))/(8/(-36)). Let i(m) = m**3 + 7*m**2 - 6*m + 4. Let n be i(l). Suppose -5*h + 4*v + n = v, v = -4*h + 54. Is 13 a factor of h? False Suppose -n + 5 - 2 = 0. Suppose -4*c + 3*q = 1, -n*c + 4 - 6 = -2*q. Is (-83)/(-2) + (-2)/c a multiple of 17? False Is 11 a factor of 26 - -3*8/(-6)? True Suppose -3 = -5*a + 2*a. Let k(q) = -1 - 4 + a + 3*q. Is k(7) a multiple of 17? True Let o(b) = -b**3 - 7*b**2 + 9*b + 11. Suppose -2*f - 8 = 0, -x - 3*x + 4*f = 16. Let p be o(x). Does 3 divide 10/3 - 1/p? True Let b = 53 + 90. Is b a multiple of 8? False Suppose -5*c + 145 = 5*h, 2*h - 4*c + 2*c - 54 = 0. Let i = 40 - h. Let q = i + 5. Does 11 divide q? False Let a be 10*(2 - 0 - 0). Let c(i) = -4*i**3 + 2*i**2 + 1. Let r be c(-2). Let u = r - a. Is 8 a factor of u? False Suppose 315 = s + 5*q - 69, 3*s - 4*q - 1076 = 0. Is 13 a factor of s? True Suppose j = 2*j + 2*d - 4, 2*j + d - 2 = 0. Suppose j = -3*g - 5*p + 135, -g = -0*g + 5*p - 45. Does 27 divide g? False Suppose f + 4 = 2*f, -x + 4*f = -28. Let i = x - 24. Suppose 3*n - 5*n = -i. Is n a multiple of 7? False Let o be 1 - 0 - (-2)/(-2). Suppose -2*y + y - j + 30 = 0, o = 3*j - 9. Is y a multiple of 10? False Let y = 91 - -56. Is y a multiple of 21? True Let a(k) = -k + 4. Let n be a(6). Does 2 divide n*-2*3/3? True Suppose u - 5*g - 4 = 9, 127 = 4*u + 5*g. Let a = 46 - u. Is 9 a factor of a? True Suppose -3*h + 14 = -0*h - 2*o, 20 = 4*h - 4*o. Suppose -a = -0*a - h. Is 3 a factor of a? False Let z(i) = -5*i**3 + 6*i**2 - 3*i - 7. Let b(c) = 9*c**3 - 13*c**2 + 5*c + 13. Let m(r) = -4*b(r) - 7*z(r). Is m(10) a multiple of 7? True Let c = 10 - 3. Let o = c + 9. Is o a multiple of 8? True Suppose -2*y = -3*y + 132. Suppose s - y = -s. Does 22 divide s? True Let f(z) = 3*z**2. Let a be (-9)/(-6)*(-10)/(-5). Is f(a) a multiple of 27? True Let n = 4 + 1. Suppose -2*k = n*a - 118, 0*a - 3*k = -3*a + 75. Is 12 a factor of a? True Let a be (4/4 + -5)*-2. Is ((-124)/16)/((-2)/a) a multiple of 11? False Let m = -8 + 8. Let b(o) = o**3 - o**2 + 14. Let n be b(m). Let q = n - -22. Does 17 divide q? False Let m(i) = -2*i + 3. Let p be m(3). Let b = 0 - p. Suppose -2*z = -3*h - 34, -b*z + 18 + 30 = -3*h. Is 14 a factor of z? True Suppose 0 = 2*r - q - 160, -4*r - 5*q + 124 = -196. Does 20 divide r? True Suppose 5*v - 14 = 201. Is v a multiple of 9? False Let l = 8 + -5. Let h(k) = -2*k - 11. Let x be h(-6). Is x + 3/l*15 a multiple of 12? False Suppose -3*u = h - 49, -u + 2*h - 7*h - 7 = 0. Suppose -2*p + 6 = -6. Suppose 3*b = p*b - u. Is b a multiple of 6? True Let a = 8 - 8. Suppose s - 3*s + 48 = a. Does 9 divide s? False Let f(c) = -2*c**2 + 4*c + 2 + 4*c**2 + 6*c**2. Suppose 0 = -5*w + 2*t - 6 - 10, -3*w = 2*t. Does 13 divide f(w)? True Suppose -74 = -4*b + f, 0 = -4*b + f - 3*f + 80. Is b a multiple of 8? False Let x(j) = 2*j**2 + 8*j - 3. Let r = 76 - 111. Let v be r/6 - 8/48. Is x(v) a multiple of 8? False Let y(f) = 9*f - 3. Let z be y(2). Is 12 a factor of (z - (-1 - -1)) + -3? True Suppose -6*j = -5*j - 9. Is 2 a factor of j? False Suppose 35 = 4*r - 73. Suppose -4*g - 3*p = 0, 2*p = -5*g + 5*p - r. Does 10 divide (10/3)/(g/(-9))? True Let v(w) = -4*w**2 + w**3 - 2*w + 2*w**2 + 1 + 0*w + 0*w. Is v(4) a multiple of 12? False Suppose 0*m - 54 = -m. Suppose -5*f + 8 = -h, -2*f = -2*h - 0*f. Suppose y - m = -h*y. Is 9 a factor of y? True Suppose 4*h + k + 0*k - 135 = 0, 0 = -4*h - 4*k + 132. Is 17 a factor of h? True Let y = 9 - 5. Suppose 6*x = 4*x - 2*q - 20, y*x = 2*q - 10. Let g(k) = k**2 - 7. Does 5 divide g(x)? False Suppose -134 = 35*c - 37*c. Is 18 a factor of c? False Let c(p) = -p**3 + 8*p**2 - 5*p - 7. Let n = 3 + 4. Is c(n) a multiple of 6? False Let m = 2 + 22. Does 8 divide m? True Let m(w) = 3*w**3 - 2*w**2 + 5*w - 3. Let j be m(4). Suppose 0 = -5*i + 3*c + j, -c = 4*i - 3*i - 29. Is 13 a factor of i? False Let c = 6 - -51. Does 15 divide c? False Let z be (0 - -4) + (0 - 2). Suppose -z*d + 80 = -4*y, -2*y - 112 = -3*d + 4. Does 26 divide d? False Let m = 41 + 7. Does 8 divide m? True Let a(q) = -5*q - q + q + 0*q. Is 5 a factor of a(-1)? True Suppose -5*l + 6 = -5*d + 4*d, -3*d = -2*l - 8. Suppose 0 = 4*i - 2 - 2, -22 = -a + d*i. Does 9 divide a? False Let n(y) = -y**2 - 19*y + 48. Does 2 divide n(-20)? True Suppose 2*q + 4*p = 4*q - 160, 5*q = 4*p + 424. Is q a multiple of 11? True Suppose 0 = -k + m - 5, -2*k + 3*m = -m + 4. Let n = 37 + k. Does 13 divide n? False Suppose 4*y = 20, -4*d - 13 = -2*d - 5*y. Let m = d + 2. Does 3 divide m? False Suppose 3 = u - 3. Suppose -3 = 4*l - u*l + f, -4*l + 3*f = -5. Suppose -l*g = 2*g - 36. Is g a multiple of 4? False Let k = 12 - 12. Suppose 0 = -4*j + 4*u + 132, -185 = -5*j + u - k*u. Does 19 divide j? True Suppose 10 = 5*w - 20. Suppose w + 19 = 5*v. Suppose -2*j - v*c = -54, -c = -5*j + 60 + 21. Is j a multiple of 17? True Is (-2 + 31 + 1)*1*1 a multiple of 6? True Let q = -2 + 0. Is 3*(-6)/q - -2 a multiple of 4? False Let g(q) = q - 2. Let c be g(2). Suppose -4*h + 2*h + 46 = c. Does 10 divide h? False Suppose -3*k + 5*k - 84 = 0. Is 21 a factor of k? True Let p = 24 - 25. Let y(k) = -28*k**3 - 2*k**2 + 1. Is 9 a factor of y(p)? True Suppose -3*m = 32 + 28. Let y = -7 - m. Does 13 divide y? True Suppose 2*p + 214 = 4*p. Suppose 4*o - 4*k + 2*k - 194 = 0, 3*k = 2*o - p. Is 16 a factor of o? False Let v(r) = r**3 + 5*r**2 - r + 3. Does 5 divide v(-5)? False Let p(t) = -t + 2. Let i be p(0). Suppose 0 = -3*d - 3*w + 7*w - 2, 2*d - 22 = -i*w. Is d a multiple of 6? True Suppose -2*k = -3*k. Let n = -10 - k. Is 8 a factor of ((-4)/n)/(5/175)? False Suppose 23*f = 26*f - 99. Is f a multiple of 5? False Suppose -3*s + 192 = 2*y, -5*y - 8 = 7. Is s a multiple of 33? True Let h(l) = 2*l**2 - l - 3. Let t be h(-4). Is 4 a factor of 10/35 - t/(-7)? False Let h = -88 + 145. Is 20 a factor of h? False Suppose 4*q + 5 - 21 = 0. Suppose -5*s + 282 = -q*j + j, -3*s = -j - 166. Is 27 a factor of s? True Suppose -2*i - 1 = 5. Is 28 a factor of 75 + -1 + i/(-1)? False Suppose 0 = -5*z - 0*z + 10. Let i = -9 - -9. Suppose 5*d - 5*g = -i*d + 75, z*d - 3*g = 32. Is 13 a factor of d? True Suppose 3*h = -2*h + 80. Is h a multiple of 16? True Suppose 5*w - 250 = -3*p, 0 = -w + p + 38 + 20. Is w a multiple of 8? False Suppose -n + u - 5 = 0, 3*n + 0*n - 5 = -u. Let g = 3 + n. Suppose 0 = -0*j - g*j + 51. Is j a multiple of 12? False Let b = 40 + -29. Let q = -10 + 17. Let r = b + q. Is 8 a factor of r? False Suppose -2*q + 5 = -q - i, 3*i + 11 = 2*q. Suppose -2*d = 3*o - 2*o - 32, -4*d + q*o = -88. Is 6 a factor of d? True Let t be (-2 + 1)/2*0. Suppose q + 0*q - 10 = t. Does 4 divide q? False Let m = 103 - 62. Is m a multiple of 9? False Let k = -2 - -2. Suppose -u + 5*j = -11, -u + 2*j - 7 + 3 = k. Let a = u + 25. Is 11 a factor of a? True Let j be (1 + 2)*1 + 2. Suppose 36 = -j*m + 166. Is 18 a factor of m? False Let k(p) = -2*p**3 - 2*p**2 + p - 2. Let x be k(-2). Suppose x*y + 42 = 186. Is y a multiple of 12? True Suppose -8*w + 114 = -2*w. Is w a multiple of 9? False Let g(s) = s**2 - 6*s - 5. Let j be g(7). Let f(z) = 7 - j*z**2 + 9*z - 3*z**2 + 4*z**2. Does 6 divide f(9)? False Suppose k + 2*d + 10 = 5*k, -13 = -4*k + d. Suppose 2*v - k*w = -0*w + 24, -103 = -4*v - 3*w. Does 11 divide v? True Let w(o) = -o + 1. Let n be w(-1). Is 4 a factor of 119/4 + n/8? False Suppose -40 = -2*f - 3*f. Is f a multiple of 8? True Let m be (-6)/9*(-84)/8. Let v(f) = 10*f - 2. Is v(m) a multiple of 23? False Let s(j) = -j - 1. Let k(n) = -n**3 + 3. Let x be k(0). Let b(l) = 14*l - 8. Let y(t) = x*s(t) - b(t). Is 26 a factor of y(-4)? False Is 9 a factor of (3*328/(-12))/(-2)? False Let x be (1 + -1)/(2 - 1). Suppose -q + 2 + 4 = x. Is q a multiple of 4? False Let g = 22 - -12. Let r = 61 - g. Is r a multiple of 20? False Let v(l) = l**3 - 5*l**2 - 1. Suppose -2 = -2*u, -5*u - 2 = -k - 7. Suppose 5*o - 4*o - 6 = k. Is v(o) a multiple of 12? False Let h = 131 - 39. Let r = h - 61. Does 8 divide r? False Let p = 20 + -10. Does 2 divide p? True Let q(j) = 3*j**2 + 32*j + 7. Let y(w) = 4*w**2 + 48*w + 10. Let b(z) = 7*q(z) - 5*y(z). Let v(c) be the first derivative
{ "pile_set_name": "DM Mathematics" }
ppose -75 = -q*r - 2*v, 3*r - 3*v = -4*v + 72. Calculate the remainder when 44 is divided by r. 21 Let w be (-2)/8 + 1695/12. Suppose 4*g + 5 = w. Calculate the remainder when g is divided by 18. 16 Let y(a) = a**2 + 2. Let c be y(-2). Suppose 2*v = c*v - 56. What is the remainder when v is divided by 4? 2 Let u = -28 + 76. What is the remainder when u is divided by 10? 8 Let f(w) = -w - 2*w**2 + 3*w + 3*w + 3*w**2 + 4. Let z be f(-4). Suppose -2*m - m + 36 = z. Calculate the remainder when 22 is divided by m. 10 Calculate the remainder when 53 is divided by (0 - (-96)/5) + 5/(-25). 15 Let k(l) = -l**2 - 7*l + 5. Calculate the remainder when 8 is divided by k(-7). 3 Suppose u + 96 = 4*u. Calculate the remainder when u is divided by 11. 10 Let x = 40 + 3. Suppose -3*t + 3*w = t - 50, -5*w - 21 = -t. Calculate the remainder when x is divided by t. 10 Suppose 46 - 141 = -5*d. Calculate the remainder when 2/9 + 1328/18 is divided by d. 17 Let s(f) = 12*f**2 - f. Let w be s(1). Let o = w - 7. Calculate the remainder when ((-91)/(-26))/((-2)/(-4)) is divided by o. 3 Suppose -2*o = 4*r - 3 - 25, 3*o + 5*r = 38. Calculate the remainder when o is divided by 2. 0 Let w be 6/(-21) + 18/14. Let x(j) = 19*j**2 - 2*j + 1. What is the remainder when 53 is divided by x(w)? 17 Let d = -4 - -32. Calculate the remainder when 79 is divided by d. 23 What is the remainder when 93 is divided by (27/(-18))/((-9)/192)? 29 Suppose 3*g - 62 = -5*v, g = -2*v + 10 + 9. What is the remainder when g is divided by (-33)/(-2) + 3/(-6)? 13 Suppose 2*m - 12 = -m. Suppose -2 = 3*i + 2*r, 2 = -3*i - m*r - 2. Suppose -1 = -i*w - w. Calculate the remainder when 1 is divided by w. 0 Suppose 67*c + 385 = 74*c. What is the remainder when c is divided by 19? 17 Suppose 9*x + 29 = 101. What is the remainder when 79 is divided by x? 7 Suppose -18*u + 17*u = -15. What is the remainder when 32 is divided by u? 2 Suppose -4 = -5*m - 2*w + 12, 8 = 3*m + 2*w. Suppose -87 = -m*s + s. Suppose -4*d + 20 = -2*d. What is the remainder when s is divided by d? 9 Calculate the remainder when 64 is divided by -19*15/(-45)*(1 + 2). 7 Let j be (-1028)/(-20) + (-2)/5. Suppose -2*u - 4*s + j = s, -4*u = -5*s - 147. What is the remainder when u is divided by 27/33 - 1 - (-378)/22? 16 Suppose 3*q - 12 = -q. Suppose 0 = -3*j - 0*j - 4*l - 26, q*l - 3 = 0. Let x = -1 - j. Calculate the remainder when 16 is divided by x. 7 Let s(l) = 18*l - 20. Let n(h) = 6*h - 7. Let a(w) = -17*n(w) + 6*s(w). What is the remainder when (-32)/(-1) - 2/2 is divided by a(2)? 9 Suppose -128 = -4*b + 248. What is the remainder when b is divided by 24? 22 Let m = 21 - 6. Let b be 800/m + (-4)/(-6). Let l = -31 + b. Calculate the remainder when l is divided by 8. 7 Let q(r) = 41*r + 2. What is the remainder when q(3) is divided by 21? 20 Let d = 83 + -47. Calculate the remainder when 140 is divided by d. 32 Let u be 2/(-10)*2*-10. Suppose -19 = -5*z + 21. Let v = z - u. What is the remainder when 11 is divided by v? 3 Let r be 2/(-11) - (-600)/33. Let j be (-4)/r + 195/27. Suppose 2*u - 25 = j. What is the remainder when 61 is divided by u? 13 Suppose 0*k = -k + t + 34, 12 = -4*t. Suppose 5*p - 160 = -120. What is the remainder when k is divided by p? 7 Suppose 14 = -2*m + 22. Calculate the remainder when 7 is divided by m. 3 Let x = -4 + 6. Suppose x*t - 7*t = -50. What is the remainder when t is divided by 6? 4 Suppose 0 = -3*h + h + 2, -4*h + 184 = 5*v. Suppose -n + 4*n = v. Suppose -20 = 2*t + 2*t, 5*x + 4*t = 155. What is the remainder when x is divided by n? 11 Calculate the remainder when 79 is divided by (34/(-6))/(3/(-9)). 11 Let s = -33 - -72. Calculate the remainder when s is divided by 21. 18 Let l be (-7)/14*(-6 + 2). Suppose -6*w + 484 = -l*w. What is the remainder when w is divided by 31? 28 Let r = -2 - -4. Suppose -3*s = -r*s - 7. What is the remainder when 33 is divided by s? 5 Let g = 0 - -1. What is the remainder when (-375)/(-9) - 6/9 is divided by g*20 + -1 + 2? 20 Let n = -6 + 22. Let k = 16 - -31. What is the remainder when k is divided by n? 15 Suppose -355 + 88 = -3*h. Calculate the remainder when h is divided by 15. 14 Let x(p) = p**2 - 6*p - 13. Let r be x(9). Let l = -5 + r. What is the remainder when 25 is divided by l? 7 Let u(g) = g**3 + 4*g**2 + 4*g - 1. Let d be u(-3). Calculate the remainder when 2 is divided by 2 + d + 4/1. 0 Let f = 33 - 21. Let k be 2/7 - (-1355)/35. Suppose 55 = 2*m - 2*r - 19, -m = -2*r - k. Calculate the remainder when m is divided by f. 11 Let k = 21 - 7. Calculate the remainder when k is divided by 5. 4 Suppose -p - 6 = w - 32, 55 = 2*w + 3*p. Let q = w - 11. Calculate the remainder when 21 is divided by q. 9 Let m = 3 - 2. Calculate the remainder when (-6)/(-12) + (-3)/(-2) is divided by m. 0 Suppose -f - j = -28, -f + 2*j + 30 = 2. What is the remainder when f is divided by 15? 13 Let g(s) = -s**2. Let c be g(-3). Let t = c - -13. Calculate the remainder when 7 is divided by t. 3 Let l = 26 + 2. Let x(b) = b - 7. Let f be x(7). Suppose y + f = 10. What is the remainder when l is divided by y? 8 Suppose -5*q = 10 - 35. Suppose 0 = -y - q + 12. What is the remainder when 4/(-6) + (-82)/(-6) is divided by y? 6 Let o(g) = -6*g - 5. Calculate the remainder when 76 is divided by o(-3). 11 Suppose -2 - 1 = -t. Suppose 0 = -t*b + 4*h + 14, -6 = -3*b + h + 2. Suppose 0 = b*m - 79 + 23. Calculate the remainder when m is divided by 15. 13 Suppose 2*o + 10 = 0, 0*n + n - 23 = 3*o. What is the remainder when 30 is divided by n? 6 Let b = 3 - -4. Let p(x) = -3*x - 6. Calculate the remainder when p(-6) is divided by b. 5 Let h = 54 + -20. Suppose -4*u = 5*t - 16, 0*u - 4*t = -2*u + h. Calculate the remainder when 33 is divided by u. 6 Suppose -4*v = 0, -3*i - 2*v = -44 - 37. Calculate the remainder when i is divided by 14. 13 Suppose -13*r - 44 = -17*r. Calculate the remainder when 55 is divided by r - 9 - 13*-2. 27 Let p(x) = x**2 + x. Let w be p(3). Let b = -7 + w. Suppose 2*h = 6*h - 52. What is the remainder when h is divided by b? 3 Let u(q) = q**2 + 7*q + 3. Let w be u(6). What is the remainder when 52 is divided by (w/6)/((-9)/(-12))? 16 Let a(b) = -b + 6. Let g be a(-5). Let n = -7 + g. What is the remainder when 12/(-9)*9/(-2) is divided by n? 2 Let x(d) = -40*d**2 + d. Let h be x(6). Let z be h/15 + (-2)/5. Let a = -66 - z. What is the remainder when a is divided by 16? 14 Suppose -682 = -3*o - 8*o. What is the remainder when o is divided by 33? 29 Let b = 127 + -75. What is the remainder when b - (-4 - -2)/1 is divided by 14? 12 Suppose 2*g + 2 = -2*z, 3 = -0*g + 3*g + z. Suppose 0 = 4*w + h - 113, 3 = g*h + h. What is the remainder when w is divided by 15? 13 Suppose 4*z - 76 = -4*u, -3*z + 5*u + 0*u + 65 = 0. Calculate the remainder when 38 is divided by z. 18 Suppose -6 = d - 17. Suppose 4*a = g + 13, a = -3*g - 0*g - 13. Suppose 0 = -x - a*t + 27, 103 = -x + 6*x + 2*t. What is the remainder when x is divided by d? 8 Suppose 18 = -w + 41. Calculate the remainder when w is divided by 6. 5 Suppose -40 - 155 = -3*m. Calculate the remainder when m is divided by 17. 14 Let i = -8 - -14. Let p(n) = n**3 - 5*n**2 - 5*n + 6. What is the remainder when 23 is divided by p(i)? 11 Let x = 1 - -1. Let a(g) = -g**3 - 2*g - g**3 - x + 0*g**3 - 2*g**3. Calculate the remainder when a(-2) is divided by 9. 7 Let n be 20/(-6)*72/(-30). Suppose b + b = n. Suppose -3*u = -7*u - 4*q - 8, -b*u = 5*q + 12. Calculate the remainder when 5 is divided by u. 1 Let j(z) = z**3 - 4*z**2 - 3*z + 4. Let w be j(5). Calculate the remainder when 37 is divided by (-20)/w*7/(-1). 7 Suppose 0 = 3*z + 2*i - 7, 5*z + 4*i - 1 = 10. Suppose -2*b - z = -c, -b - b + 19 = c. Calculate the remainder when c is divided by 6. 5 Suppose m + 12 - 2 = 0. What is the remainder when 37 is divided by ((-5)/m)/(1/26)? 11 Suppose m = -m + 64. Let v = 290 + -195. What is the remainder when v is divided by m? 31 Let a(x) = 4*x - 24. Calculate the remainder when -1*118/((-2)/1) is divided by a(11). 19 Suppose -5*z + 420 = -0*z. Suppose -2*x = 0, 2*x + 36 = 3*a + 6*x. Suppose a*i - 9*i = z. Calculate the remainder when i is divided by 15. 13 Let h be 1/5 - 126/30. Let d be h - 0 - (1 + -1). Calculate the remainder when (219/(-6))
{ "pile_set_name": "DM Mathematics" }
0.7 + t. Let l = k - -2. Which is greater: 0 or l? l Suppose 2*z + 4*d = 16, 0 = 3*z - 2*d + 5*d - 15. Suppose -4*k - 10 = z. Let l = -4 - k. Are l and -2 nonequal? True Suppose 7*r + 5 = 2*r. Which is smaller: -3.5 or r? -3.5 Suppose 2*y + 6 = -2. Is -4 not equal to y? False Suppose -3*h + 60 = 3*z - 36, 0 = 3*z - 5*h - 64. Suppose 3*i + z = -i. Which is greater: i or -11/2? -11/2 Let w = 1 - 1.04. Suppose 3*a = -4*c - 39, -4*a + 2*c + 22 = 52. Let t = -8 - a. Is t at least as big as w? True Suppose 4*i - w - 3 = 12, 5*i = 2*w + 18. Suppose i = -h + 9. Is h >= 6? False Suppose 5*t = 7*t - 2. Let w = 2.1 - 3. Is t less than w? False Let n(d) = -8*d - 2. Let v be n(-2). Is 14 at least as big as v? True Let p = 2 - 0. Suppose -3 = 3*j - 5*v, 3*j + 2*v = 18 - 0. Let x be p/(-12)*(-6)/j. Which is greater: x or -1/3? x Let u = 4 + -1. Is 2 greater than or equal to u? False Let y = 14 - 13. Is 4/9 bigger than y? False Let g = 0.4 + -0.3. Suppose 0*z - 4*z = -4. Which is smaller: g or z? g Let s = -35.07 + 35. Suppose 4*p = -3*i - p + 15, 4*i - p = -3. Which is bigger: s or i? i Let v(m) = -m**3 - m**2 + 3*m + 3. Let w be v(-2). Suppose -n + 15 = 4*n. Suppose 2*a - n*c + 4 = a, -4*a = -4*c. Is a at most w? False Suppose -a = -3 + 1. Let l be -3 - -3*(3 - a). Which is smaller: -2 or l? -2 Suppose -j + 4*a = -14, -5*j - 5 = 2*a + 13. Let m be (1 - -5) + 1/(-1). Suppose 3*p = 0, m*h + 3*p = 2*p - 10. Is h at least j? True Let a = 11 + -8. Let j = 26 + -24. Suppose -2*s + j = -0. Do a and s have the same value? False Let f = 53 - 44. Is f equal to 19? False Suppose -7*r = -2*r - 35. Suppose -r*t + 8 = -3*t. Let m be t/10 - 16/30. Which is smaller: 1 or m? m Let a = -7 + 15/2. Let f be (-2)/7 + 4/14. Which is smaller: a or f? f Let r(a) = 2*a**2 + 6*a - 8. Let m be r(2). Is m >= 11? True Let s be (10/30)/((-2)/(-6)). Which is bigger: s or 10/7? 10/7 Let a = 8 - 9. Which is smaller: 3 or a? a Let v = 11.8 - 10.8. Is v less than 5? True Let q(j) = j**2 - 6*j + 2. Let z be q(7). Suppose 4*n = z + 11. Which is bigger: n or 6? 6 Let v = -1640 - -6469/4. Let a be (1 - 8/6)*69. Let b = v - a. Is b greater than or equal to 1? False Let j = -11 + 18. Let y be 1/(-70) + (-2)/j. Which is bigger: y or -2? y Let t = -69767369/26654316 + 1/436956. Let k = 3/61 - t. Are 2 and k unequal? True Let k be 2 + 0 + 2*-2. Suppose 0 = 4*h + 20, s - 13 = 4*h - h. Let l = s - k. Which is greater: -2/15 or l? l Suppose 2*s + s = 2*m + 68, s + 4*m = 32. Which is smaller: 23 or s? 23 Let k(s) = 21*s + 5 - 9*s + s**2 - 7*s. Let z be k(-3). Which is smaller: 1/8 or z? z Suppose 5*f - 4 = 1. Suppose 5*m = 6 - f. Which is smaller: -2/13 or m? -2/13 Let u be 2 + 0 + -4 + 7. Suppose -u*l - r - 6 = 0, 0 = l + 4*r - 8 - 6. Is 6 bigger than l? True Let o(g) = g**3 - 5*g**2 + 3*g + 4. Let s be o(4). Let q(l) = l - 7. Let m be q(s). Does m = 0.1? False Suppose j + 1 = -1. Which is greater: -13/5 or j? j Let d(q) = -q**2 - 7*q - 7. Let i be d(-6). Let b be i/(-8)*(-4)/(-2). Let f = 3 - 3.1. Which is smaller: f or b? f Let y = 66 - 64. Do y and 1 have the same value? False Let j(q) = q**2 - 14*q - 2. Let i be j(14). Do i and -11/4 have different values? True Let c(p) = p**3 - p**2 - 3*p + 1. Let m be c(2). Which is smaller: m or -1/14? m Let c = -14.06 - -14. Let x = 0.04 + c. Which is greater: 2 or x? 2 Let c be 2/((-8)/276*-3). Which is smaller: c or 22? 22 Let u be -3 + (0 - 4/2). Let f be (20/(-8) - -3)*u. Is -2 greater than f? True Let a(i) = -i**3 + 3*i**2 + i. Let c be a(3). Let o = -12 + 9. Let u = c + o. Is -2/7 equal to u? False Let l be -2 - (2 + (-1032)/260). Is l <= 0? True Suppose 58 = -0*u + 2*u. Is u at most 30? True Let h be 7/(-1) + 4 - -2. Is h smaller than 2/151? True Let s(z) = z - 3. Let m be s(8). Suppose 4*b + 18 = -g, m*g = -0*b + 5*b - 40. Let i = -15 - g. Which is greater: i or -4? -4 Suppose -4*s = -8, -c = -0*c - 3*s + 10. Is c at least -5? True Suppose 0 = 2*b + 3*b - 25, 4*b - 3 = -f. Suppose 3*k + 83 = -5*y - 0*k, -k - 17 = y. Is f at least y? False Let m be (1 - 12/6)*5. Is m smaller than -23/4? False Let w be 27/(-12)*(-48)/(-9). Let i be 1/6 + (-13)/w. Which is smaller: i or 1? 1 Let g(j) = -j**2 - 3*j - 7. Suppose 2*h = 3*h + 3. Let n be g(h). Is -8 bigger than n? False Suppose 0 = -5*c - c + 24. Suppose -4 = -2*b + y + 9, 13 = 5*b + c*y. Which is bigger: 3 or b? b Suppose -3*c - 4*u = -0*c - 25, 0 = 4*c + 4*u - 40. Is 14 at least c? False Suppose 4*t = -c - 65, 2*t - 14 + 132 = -2*c. Is c <= -58? False Suppose -1 - 3 = 4*l. Let k = 0 + -0.04. Let h = k - -2.04. Is h > l? True Suppose 11 = -2*d + 3*d + 4*q, -d + 3 = 2*q. Let n = d + 9. Let i be 21/(-49)*n/6. Which is greater: -0.2 or i? -0.2 Let z = -560366 + 238155672/425. Let x = z + -16/25. Does x = 1? False Let t = 7 - 10. Let l = -3 - t. Suppose i = -l*i. Which is greater: i or 4/3? 4/3 Suppose -1 = 3*c - 2*r, -5*c - 4*r = -2*c + 7. Let v be (-95)/25 + c + 4. Which is smaller: -2 or v? -2 Let h = 4 - 10. Suppose 9*v + 35 = 4*v. Is v <= h? True Suppose -3*k + 8 = k. Which is smaller: k or -1/53? -1/53 Let a = 4081/4 - 24557/20. Let t = -207 - a. Which is greater: 0 or t? t Let c be (-8)/(-4)*2/2. Let x be (-96)/(-78) - c/2. Which is smaller: 0 or x? 0 Suppose -j = 2*j - 27. Let y be j/(-2)*4/3. Let z(b) = b**3 + 5*b**2 - 7*b - 5. Let q be z(y). Which is greater: -3/8 or q? q Suppose 1 - 3 = -h. Let b be (h*-4)/((-4)/2). Suppose -5*k - 8 = -3*l, -2*l + k = l - b. Is 2 smaller than l? False Suppose 5*h - 3*j - 22 = 0, -2*h - 4*j - 6 = 3*h. Suppose -5*s + b = -0*s + 2, 3*s - h*b = -4. Let m = 22 - 87/4. Which is smaller: m or s? s Let x = 0.13 + -0.33. Let v = -0.7 + -0.1. Let b = -1 - v. Is b greater than or equal to x? True Let r = -2 + 6. Suppose -r*z + 2*z = 0. Let t be 2*(1 - 6/7). Which is greater: z or t? t Suppose q + 16 = 3*f + 3*q, 2*f + 6 = 2*q. Suppose 2*g = 0, -f*g + 52 = 5*l + 2. Is l smaller than 10? False Let n = 10 - 26. Is -15 <= n? False Let g be (12/(-21))/(4/(-14)). Suppose -g*b - 2 = 12. Let p(c) = c**3 + 6*c**2 - 6*c + 8. Let l be p(b). Is l greater than -1/5? True Suppose 3*w + 22 = 5*v, 2*v + 2*w - 3 = 9. Are 5 and v equal? True Suppose -9*u = -4*u + 20. Let i be (36/30)/((-6)/20). Is u <= i? True Suppose -8*i - 10*i = 144. Which is greater: i or -6? -6 Let b = 0.13 - 0.14. Let r = b + 0.21. Do r and -1/4 have the same value? False Let x(g) be the first derivative of -g**4 + 2*g**3/3 - g**2/2 + 1. Let f be x(1). Let a be 20/15*(18/(-12))/1. Which is smaller: a or f? f Suppose 5*v + 11 = -9. Let u(n) = n**2 + 3*n - 5. Let l be u(v). Which is smaller: l or 2? l Let t(y) = y + 4. Suppose 2*r = -5*b - 6, -2*r = -4*b + 6*b - 6. Let m be t(r). Is m <= 11? True Let b = 23/17 + -597/391. Let v = b + -34/69. Are v and -1 nonequal? True Suppose v - 2*w + 3 = 0, -2*v = -0*v + 5*w - 21. Suppose -3*m - 3*g = 3, m + 28 = v*m - 4*g. Let c = m + -2. Is c at most as big as 3/5? False Suppose -h + 0*h = -23. Let l = h + -23. Which is smaller: 4 or l? l Suppose 0 = 4*u + 3*o + 19, u + 3*u = 4*o - 12. Is u greater than or equal to -6? True Let t = -118 + 120.07. Let c = t + -0.07. Let g = c + -2. Is -4 less than or equal to g? True Let u be (6 + -5)*(0 - -3). Is u at least 3? True Let z = -0.9 - -0.9. Is -1/3 smaller than z? True Let n(x) = x + 3. Let h be (-2 + 1 + -2)*2. Let d be n(h). Let j be -3 - 1*(d - -2). Which is smaller: -1 or j? j Suppose 3*q + 2*x + 0*x = 1, -2*x = -2*q + 4. Let m be -1*q/2*10. Is -0.1 at least as big as m? True Let t(n) = n**3 - 7*n**2 + 5*n + 8. Let r be t(6). Suppose -r*j + 0 = -6. Suppose 5*w - j - 7 = 0. Which is bigger: 3/5 or w? w Suppose 3*j + 4*h - 4 = 0, h = 4 - 0. Which is smaller: j or -3? j Suppose 2*a + 3 = 3*m, -4*a + 3*a + 1 = m. Is 1 <= a? False Suppose 4 = -l + 8. Let r(n) = n**3 + 6*n**2 - n - 1. Let v be r(-6). Suppose -v = -d - l*d. Is d >= 1? True Suppose n + 11 = 3*w - 4, -5*n = 4*w + 37. Let x be 12/n*(-9)/6. Which is greater: 3/5 or x? x Suppose -3*d - 2*f + 8 = 0, -d - 4*f = d - 16. Suppose 0 = -2*n + 3*u - 4*u + 11, -n - 2*u = -13. Suppose -o - 5 = l - 0*l, -12 = n*o. Is l at least d? False Let w = -0.85 - -0.95. Let d = -36/455 - -2/91. Is w smaller than d? False Let x(u) = u**2 - 5*u - 4. Let d = -1 - -7. Let n be x(d). Let z be (6/4 - n) + 0.
{ "pile_set_name": "DM Mathematics" }
Which is bigger: 1545402 or 1545403? 1545403 Which is smaller: 201168 or 201144? 201144 Is -1517/154 greater than -11? True Which is smaller: -61 or 743? -61 Which is smaller: -0.7 or -0.65063? -0.7 Which is smaller: 766 or -42? -42 Which is smaller: 27323 or 27287? 27287 Is 758 != 57651/76? True Is 713871 < 713871? False Which is smaller: 8018 or 56116/7? 56116/7 Are -7 and -58/7 nonequal? True Which is smaller: 4 or 33.691? 4 Which is bigger: 45999 or -70? 45999 Which is bigger: -1643040 or -1643041? -1643040 Is 522 at least as big as 24588/47? False Which is bigger: -2/7 or -0.992149? -2/7 Which is bigger: 1912773 or 1912772? 1912773 Which is smaller: 0 or -63/58838? -63/58838 Which is bigger: 3991 or -0.09? 3991 Which is smaller: -15520 or -15521? -15521 Does 2879 = 585? False Is 1167146 less than 1167145? False Which is greater: -15 or 2182? 2182 Are -59028 and -59023 equal? False Is 1 smaller than 189/5804? False Is -77052/7 < -11006? True Which is greater: -1874 or -1860? -1860 Which is bigger: 50539 or 50542? 50542 Which is greater: -923 or 757? 757 Is 1 greater than or equal to 4/103845? True Is -99405 at least -99406? True Which is bigger: 71 or -1071? 71 Are -480 and 289 nonequal? True Which is bigger: 1447 or 1452? 1452 Are -836 and 658 unequal? True Is 300445/36 bigger than 8345? True Is 25533 greater than 25530? True Is -25330 less than or equal to -25329? True Is 4 >= 9721? False Is 132 less than -4/7? False Which is smaller: -9 or -7? -9 Is 28132/297 != 94? True Are -3644 and -3688 equal? False Which is smaller: 1245 or 6226/5? 1245 Is 98608 not equal to 98608? False Which is smaller: -1140 or -139? -1140 Which is greater: -7 or -14276? -7 Which is smaller: -6/5 or 4338? -6/5 Do 3637/746 and 4 have the same value? False Which is smaller: 1 or -190/2047? -190/2047 Which is greater: 1 or 2/3222369? 1 Which is bigger: -1 or -3/406478? -3/406478 Is 98/111 <= 0? False Is 1376 at most as big as 941? False Is 40 > 355? False Is 1/9474 less than 0? False Is 1/483 bigger than -27? True Which is greater: 73 or 12489/173? 73 Which is smaller: -1/32 or -8? -8 Which is greater: 0.1 or 23184? 23184 Which is smaller: 48 or 76? 48 Which is smaller: -77 or -3111/40? -3111/40 Are -21563 and -2 equal? False Is -5/55864 != -1? True Is 82241 > 82240? True Which is smaller: -43/4 or 1? -43/4 Is -32317 less than -32315? True Which is smaller: 102.47 or -12? -12 Is 53077 <= 53075? False Do -224 and -0.0321 have different values? True Which is greater: 0 or 6/280591? 6/280591 Does 213 = 2338/11? False Is 0 at least as big as -1/225340? True Is -655 bigger than -601? False Which is smaller: -1 or -34/118951? -1 Which is bigger: 0 or -85/603? 0 Which is greater: 2/12554789 or 1? 1 Is 1 less than 0.306? False Is -283537 < -283538? False Is -30/102479 at most -1? False Is -90 bigger than -129? True Which is smaller: -1 or 1/3633? -1 Which is smaller: -0.4 or -103.61? -103.61 Which is smaller: 7 or 2941/385? 7 Which is greater: 2495 or -0.068? 2495 Is 27 greater than 11127? False Is -157268 at most -157267? True Which is smaller: -20804 or -20800? -20804 Is -4123/48 less than -86? False Is -11/476738 at most as big as -1? False Which is bigger: -29347/32 or -917? -917 Is -6/17977 at most as big as 0? True Is 0 less than 366.14? True Is 316342 bigger than 316342? False Is -573365/6 smaller than -95562? False Which is smaller: -1920641/7 or -274378? -274378 Which is greater: 6659 or 6660? 6660 Which is greater: -2/819919 or 1? 1 Which is greater: -98 or -4/77? -4/77 Which is bigger: 225910 or 225907? 225910 Which is smaller: -5/389246 or 1? -5/389246 Which is smaller: -16174 or -16061? -16174 Is -422 at least as big as 70? False Which is smaller: -188962 or -188959? -188962 Which is bigger: 45485 or 45496? 45496 Is 2/9119 bigger than -3/8? True Is 6575/18 less than 366? True Is -1/4886083 < 1? True Which is smaller: -1 or -37/3238? -1 Is -1076 not equal to -1079? True Which is greater: -5368825 or -5368826? -5368825 Which is greater: -1656543/4 or -414136? -1656543/4 Which is bigger: -1 or -15/11758? -15/11758 Is -2233/59 less than or equal to -39? False Is -0.00162066 greater than -1/2? True Which is greater: 1459 or 1481? 1481 Which is smaller: 148 or 3843/26? 3843/26 Is -7 != -9.086? True Which is smaller: 67973 or 67983? 67973 Which is smaller: 7.857 or -1/2? -1/2 Is 20 >= -2175? True Is -51620 at most as big as -34? True Which is bigger: -56736/5 or -11348? -56736/5 Is 42699 smaller than 298895/7? True Is -4531 at most -4528? True Do 1117 and 1119 have the same value? False Which is bigger: 2983 or -2? 2983 Which is smaller: 40607/41 or 989? 989 Which is bigger: -0.02 or 339335? 339335 Are 14561 and 203873/14 nonequal? True Do 7151 and 7146 have the same value? False Is 87687 <= 87689? True Which is bigger: 1536 or -22? 1536 Is -1439 bigger than -1363? False Which is bigger: 1 or -2/2672123? 1 Is -1 bigger than -465/8504? False Which is greater: 0 or -0.0555444? 0 Is 626071 greater than 626071? False Is -4 at most -8619/8? False Which is smaller: 14 or 927/67? 927/67 Which is greater: -12223 or -97795/8? -12223 Is -616 greater than -10466/17? False Which is smaller: -551950 or -551951? -551951 Is 1 bigger than 29/3116? True Which is greater: -1 or -9/55259? -9/55259 Is -1.9 at most -1842? False Which is smaller: 13/511 or -1? -1 Is 2 greater than or equal to -50.0136? True Is -5996 at least as big as -5999? True Which is smaller: 1 or 0.2479? 0.2479 Is -725 at most 11.33? True Is -72698 not equal to -72698? False Which is greater: -5/22 or -3/5? -5/22 Is 2119 bigger than 2079? True Is -22733 <= -22732? True Do 15/191267 and 2/7 have the same value? False Which is smaller: 166713/4 or 41679? 166713/4 Is -81 at most -0.103? True Which is smaller: -41/1109 or -3? -3 Is -22804 greater than -159626/7? False Are -1/24798 and 16/5 unequal? True Are 610503/7 and 87215 non-equal? True Is 6/185 >= 5548? False Is -1220402 equal to -4881611/4? False Which is smaller: 11 or 54/1369? 54/1369 Is 788 <= 890? True Is 84 <= 3063? True Is 3 equal to -47621? False Which is greater: 5256 or -0.1? 5256 Which is bigger: -12243 or -7? -7 Which is smaller: 4147923 or 4147920? 4147920 Are 0 and 64/28549 nonequal? True Is -1/7757796 equal to 0? False Which is greater: 5 or 1208/215? 1208/215 Which is bigger: -1 or 5/61444? 5/61444 Is 0 at most 0.03908416? True Is 4 not equal to 127.4? True Is -274253 bigger than -274252? False Is -11051 < -11051? False Which is greater: 218927 or 0.3? 218927 Which is bigger: 32/417 or 1? 1 Is 4245 > 4230? True Are -148280 and -1/2 nonequal? True Do -13 and 12305 have different values? True Is -27 greater than or equal to 2.651? False Which is smaller: -1/679772 or 0? -1/679772 Is 133697 >= 1738076/13? False Do -0.033 and 854 have different values? True Which is bigger: -1384 or 1/69? 1/69 Is 19046 less than 19064? True Which is bigger: 1 or -17/5200? 1 Is 1/1476639 > 0? True Is -362 equal to -5079/14? False Is -30959 less than or equal to -30901? True Is -44/11923 < 0? True Is -18735 greater than -18735? False Is -68508 < -68515? False Which is greater: 0 or 98466? 98466 Is -0.13 at most as big as -24075? False Is 5619 < -5? False Does -173 = -193? False Which is smaller: 1.2 or -9/146? -9/146 Which is smaller: -7242116 or -7242114? -7242116 Which is bigger: 21320 or 34? 21320 Which is smaller: 60/103 or -122? -122 Is -481 greater than 113? False Is 2004 >= 50? True Is -1289 != -2505? True Which is smaller: 1212 or 1214? 1212 Which is smaller: -38369 or 0.2? -38369 Is 54288 greater than or equal to 54286? True Which is smaller: 12614 or 12619? 12614 Is 298372 at most as big as 298373? True Is 12/26155 not equal to -1? True Is -59052 greater than -59086? True Is -91105 >= -91111? True Is 0 bigger than 203/4131? False Are -3684889 and -3684888 equal? False Which is greater: -1842.57 or 3? 3 Is -1043574 at most -1043575? False Is -18/901357 equal to -1? False Is -1 at most 163/393? True Which is bigger: -33 or -2029/62? -2029/62 Which is smaller: 3/199784 or 1? 3/199784 Is -1 less than 71/3743? True Is -9/54802 not equal to 0? True Which is smaller: 3427509 or 3427510? 3427509 Which is smaller: 303 or 129? 129 Which is smaller: 42139/2 or 21070
{ "pile_set_name": "DM Mathematics" }
ggest value? (a) -53 (b) 0 (c) -0.1 (d) -2 (e) 0.024 a What is the smallest value in -45, 8, 142? -45 What is the third biggest value in 0, 10122, -6? -6 Which is the smallest value? (a) -13530 (b) -5 (c) -0.5 (d) -3 a What is the second biggest value in -0.04, -28, -2/7, 2/11? -0.04 Which is the smallest value? (a) -443 (b) -2/3 (c) 3 (d) 0.1 (e) 0.3 (f) 0.04 a Which is the third smallest value? (a) 2 (b) -7 (c) -3 (d) 0.5 (e) 11/3 (f) 0.3 f What is the fifth biggest value in -3/4, 116, -3, 2/17, 4? -3 What is the third biggest value in -202, -4, -2/5, -3.09? -4 What is the smallest value in 1/3, 3, 46, 5/3? 1/3 Which is the third biggest value? (a) 0.14 (b) 1/34 (c) -1/12 (d) 1/10 b What is the fifth smallest value in 3, -2, -0.1, 2/77, 2/3, -4? 2/3 Which is the third biggest value? (a) 6900 (b) 1 (c) 0 c What is the biggest value in -0.05, -0.45, 0.2, 0? 0.2 What is the third smallest value in -1/11, 112.1, -2? 112.1 What is the smallest value in 16, 0.7, 5, -13? -13 What is the second smallest value in -23, -2/9, -5, -2/7, -13? -13 Which is the third smallest value? (a) -1 (b) -7/18 (c) -0.2 (d) -349 b What is the fourth smallest value in -2/17, 1/33, -0.41, 5/3? 5/3 Which is the fourth smallest value? (a) 13 (b) -8 (c) -0.04 (d) 1/3 (e) 1/8 d What is the second biggest value in 19, 0.2, 9? 9 Which is the smallest value? (a) 31601 (b) -1/6 (c) 0.5 (d) -1/12 b Which is the second smallest value? (a) -3/2 (b) -982 (c) 48 a Which is the third smallest value? (a) 18/113 (b) 3 (c) -3/172 b Which is the third biggest value? (a) -5 (b) 3 (c) 16 (d) 7.69 b Which is the second smallest value? (a) 0.052 (b) 75 (c) 11 c What is the third smallest value in -1/4, -11, 3/5, -3, 1034.6? -1/4 Which is the smallest value? (a) 1/21358 (b) 0.1 (c) -2/3 (d) 0.3 c Which is the second biggest value? (a) 36.81 (b) 5/3 (c) -0.3 b Which is the third biggest value? (a) -1/7 (b) 0.6 (c) -1 (d) -60 (e) -5 (f) -4 c What is the second smallest value in -2, -37, -5, -4/55? -5 What is the second smallest value in -1482, -0.25, 5? -0.25 Which is the fifth smallest value? (a) 4/3 (b) -562 (c) -1/4 (d) 0.5 (e) 5 (f) -8 a What is the second biggest value in -73, -3, 5/2, 0.13, 1? 1 What is the second biggest value in 865, 1/3, 1, 2/15? 1 Which is the smallest value? (a) -2/7 (b) 0.2 (c) -8/51 (d) -0.1 (e) -4 e Which is the second biggest value? (a) -6669 (b) 1/3 (c) 0.5 b What is the second smallest value in 0.1, -0.4, -17/4, 3, 321? -0.4 What is the second biggest value in 0.3, -0.14, -1/8, 3, -3.17? 0.3 What is the fourth smallest value in 0, -8, -2, 0.0512, 1/6? 0.0512 What is the second biggest value in 22, -1/3, 1/3, -0.2, -4.9? 1/3 Which is the fourth biggest value? (a) 1 (b) 0.3 (c) 0.01 (d) 426 (e) 0.4 b Which is the smallest value? (a) -1 (b) 748 (c) 1 a What is the fifth smallest value in 0.2, 60, -1, 0, 0.1? 60 What is the smallest value in -4295/11, 0.1, -3? -4295/11 What is the fourth biggest value in -77.1, -6/13, -1, -4/7, -4? -4 What is the smallest value in 1, 0.5, -0.08, -1/6, 743/3, 5? -1/6 What is the second smallest value in 1579, 2, -1.5, -1/7? -1/7 What is the sixth smallest value in 4, 0.4, 0, -0.15, -2.19, 0.2? 4 Which is the fourth smallest value? (a) 0.1 (b) -3 (c) 127 (d) 3 (e) 1 (f) -8 e What is the fourth biggest value in 7994, -4, 0.7, 0, 0.5? 0 Which is the third smallest value? (a) 8 (b) 16 (c) -2346 b What is the fourth smallest value in -0.4, 1, -2.1, 1/316? 1 What is the second smallest value in -5, 43/3, 322? 43/3 What is the fifth biggest value in -1, 68, -1/6, -27, 5, -6? -6 Which is the third biggest value? (a) -2.7 (b) -1/4 (c) 3762 a Which is the second smallest value? (a) -5 (b) 3 (c) 3/2 (d) -61 (e) -10 e What is the second smallest value in 5/8, 1, -69, -6.3? -6.3 What is the third smallest value in 305, 12, -0.14? 305 Which is the third biggest value? (a) -4 (b) -2.8 (c) 3/133 a What is the second smallest value in 2/13, -5, -13/9, 15? -13/9 What is the second smallest value in -0.238, 3/14, 2/7? 3/14 Which is the fourth smallest value? (a) -2 (b) -29.731 (c) 0.5 (d) -2/13 c Which is the third smallest value? (a) -9 (b) -194.85 (c) -1 c Which is the third biggest value? (a) -1/6 (b) 1/11 (c) -1120.2 (d) 4 a Which is the second biggest value? (a) -39 (b) -2/13 (c) -1/3 (d) -1/9 (e) 0.5 d What is the third smallest value in 0.1, 1, -44, 2554? 1 Which is the biggest value? (a) 15 (b) 0.09 (c) 24 c What is the smallest value in -6/5, -4/3, -1/1108? -4/3 Which is the smallest value? (a) -2/791 (b) -42 (c) 2 b What is the second biggest value in -3/17, 0.16, 2, 5, -20? 2 What is the third biggest value in 4, -627, -2? -627 What is the smallest value in -1/3, -2.6, -2/3, -2/97, -3, 6.6? -3 Which is the third smallest value? (a) -0.3 (b) 0.1 (c) -2/7 (d) 32 (e) -3/2 (f) -87 a What is the second smallest value in 3/80, 0.17, -3? 3/80 Which is the second smallest value? (a) 1/5 (b) -3 (c) 20 (d) -2/11 (e) 8 (f) 6/43 d What is the third biggest value in 0.3, -2.586, 8.63? -2.586 What is the second biggest value in 16/9, -2/7, -3, -7, -7/2? -2/7 Which is the fourth biggest value? (a) 6/59 (b) 3 (c) 0 (d) -3.3 d What is the biggest value in -89, -518.7, 1/7? 1/7 What is the fourth smallest value in -1.1, 1/8, -0.1, -27, 0.08? 0.08 Which is the second smallest value? (a) 24 (b) -7 (c) 3/2 (d) -215 b Which is the second smallest value? (a) 3 (b) -1 (c) -0.4 (d) 0.02704 (e) -5 b Which is the third smallest value? (a) -2/3 (b) -2/11 (c) 2 (d) 6/11 (e) 1 (f) 1413 d What is the third smallest value in 1, -1/2, 1040, 90? 90 Which is the smallest value? (a) -0.5 (b) 6/11 (c) 2/3 (d) -3/5 (e) 0.5 d Which is the fourth biggest value? (a) 7 (b) 2/13 (c) -5 (d) -3 (e) 3 (f) -8 d Which is the third biggest value? (a) -0.2 (b) -3/17 (c) -2/3639 a What is the biggest value in -4/3, -8, -3/89, -0.1, 0.2? 0.2 What is the smallest value in -2/43, 0.2, 2, 2542, -0.2, 0.4? -0.2 Which is the fifth smallest value? (a) -0.3 (b) 45 (c) 1/8 (d) -4 (e) 10 b Which is the fifth biggest value? (a) -2/11 (b) -1/2 (c) -19 (d) -4 (e) -3/4 c What is the third smallest value in -1/81, 0.029, -0.4, -6? -1/81 What is the third biggest value in -0.45, 0.63, 5? -0.45 Which is the second biggest value? (a) 129 (b) 2 (c) -9.1 b What is the fourth biggest value in -4, 15795, 0, -0.01? -4 Which is the third smallest value? (a) 1/45 (b) 4.7 (c) 0.3 (d) -2/11 (e) 4 c What is the smallest value in 1/3, -14, -2/145, 2? -14 Which is the fourth smallest value? (a) -4 (b) -229 (c) 1 (d) 4 (e) -0.3 c Which is the second smallest value? (a) 4/9 (b) -1/4 (c) -2/11 c What is the smallest value in -0.3, 6220, -1? -1 What is the third smallest value in -1/2, -6, 5, 1352/9? 5 What is the second biggest value in 2, 3.7, 0.2, 15? 3.7 Which is the second smallest value? (a) -4 (b) 2 (c) -2/11 (d) -2/9 (e) -233 a What is the biggest value in -438844, -6, -2? -2 What is the second biggest value in 2/3, 5, 2, 0.5, 76? 5 What is the third smallest value in -0.08, -0.4, 5, 13296? 5 What is the second biggest value in -10149, 3, -1/7? -1/7 Which is the third smallest value? (a) -254 (b) -3/5 (c) 20 c What is the biggest value in -4, 1, 1/4, 0.06, 31? 31 What is the second biggest value in 0.5, -2, 0.049, -0.1, 6, -97/5? 0.5 Which is the second biggest value? (a) 0.5 (b) -0.2 (c) 4 (d) -3/337 (e) 1/7 a What is the second smallest value in -0.28, 0, -5, 0.1? -0.28 What is the second biggest value in -0.5, 0.6, 13648, 0.1? 0.6 Which is the third biggest value? (a) -3/7 (b) -7 (c) 1.5 (d) 2/5 (e) 28/11 (f) 0 d Which is the smallest value? (a) -0.2 (b) -5/8 (c) -4 (d) -1/2 (e) 4 (f) -5 f What is the fifth biggest value in -4, 1, 1/3, 2/5, 749, -0.1? -0.1 What is the third smallest value in -1, -3, -3/5, 0.089, 1? -3/5 What is the fourth biggest value in -2/13, -0.035, -18, -1? -18 What is the smallest value in 59, 4, 0.05? 0.05 What is the smallest value in -0.03371, -4/5, -5, 4? -5 Which is the fourth smallest value? (a) 2/15 (b) -27 (c) -5 (d) -0.091 a What is the smallest valu
{ "pile_set_name": "DM Mathematics" }
- 5640 = 0. -3, 1, 470 What is v in 5*v**4 - 170*v**3 + 1765*v**2 - 6880*v + 7980 = 0? 2, 6, 7, 19 Factor -3*h**2/2 + 1971*h/2 + 13065. -3*(h - 670)*(h + 13)/2 Solve -v**5/3 - 3026*v**4/3 - 57259*v**3/3 - 126402*v**2 - 324828*v - 216504 = 0 for v. -3007, -6, -1 Find j, given that -4*j**3 + 5316*j**2 + 15984*j = 0. -3, 0, 1332 Let -2*o**3/9 - 7702*o**2/9 - 76870*o/9 - 192050/9 = 0. Calculate o. -3841, -5 Determine g so that 2*g**5/3 - 2876*g**4/3 + 1199678*g**3/3 - 113924996*g**2/3 - 1199680*g/3 + 113927872/3 = 0. -1, 1, 134, 652 Let -5*u**2/3 - 14300*u/3 - 866125 = 0. What is u? -2665, -195 Factor -2*s**2/5 - 116*s - 4512/5. -2*(s + 8)*(s + 282)/5 Solve 2*u**4 - 4248*u**3 + 50730*u**2 - 88724*u + 42240 = 0. 1, 10, 2112 Factor -d**4/2 - 2*d**3 + 133*d**2 - 882*d + 3087/2. -(d - 7)**2*(d - 3)*(d + 21)/2 Factor 3*k**2 + 3330*k + 427128. 3*(k + 148)*(k + 962) Factor 2*t**3 + 9030*t**2 + 45108*t + 36080. 2*(t + 1)*(t + 4)*(t + 4510) Factor 3*l**3 + 711*l**2 + 22317*l - 73431. 3*(l - 3)*(l + 41)*(l + 199) Solve u**2/3 - 35564*u/3 + 316199524/3 = 0. 17782 Let 12*a**3 - 13833*a**2 + 10347*a + 24192 = 0. Calculate a. -1, 7/4, 1152 Factor 3*c**2 - 109941*c. 3*c*(c - 36647) Factor -2*n**2/21 + 6032*n/21 + 862/3. -2*(n - 3017)*(n + 1)/21 Let -d**2/2 - 1817*d/2 + 11895 = 0. Calculate d. -1830, 13 Factor 3*r**2 + 170853*r - 341718. 3*(r - 2)*(r + 56953) Factor -4*w**2 + 2816*w - 60016. -4*(w - 682)*(w - 22) Factor -2*g**3/11 + 906*g**2/11 - 58830*g/11 - 983150. -2*(g - 265)**2*(g + 77)/11 Suppose -5*m**2 + 243585*m - 243580 = 0. What is m? 1, 48716 Find d such that 5*d**2 - 370*d - 36400 = 0. -56, 130 Factor -2*q**2 + 99578*q + 99580. -2*(q - 49790)*(q + 1) Factor v**4/4 - 235*v**3/4 + 13449*v**2/4 + 42007*v/4 + 14161/2. (v - 119)**2*(v + 1)*(v + 2)/4 What is l in -3*l**3/2 + 1215*l**2/2 + 38475*l/2 + 293625/2 = 0? -15, 435 Factor 2*r**3 + 15484*r**2 + 29984760*r + 59907600. 2*(r + 2)*(r + 3870)**2 Determine h so that 21*h**4/4 - 2157*h**3/4 + 7257*h**2/4 + 45909*h/4 + 6237/2 = 0. -3, -2/7, 7, 99 Let 3*z**2 - 112839*z + 112836 = 0. What is z? 1, 37612 Factor -2*s**2/3 - 2350*s/3 - 132056. -2*(s + 204)*(s + 971)/3 Determine o, given that 16*o**5 + 48012*o**4 + 36227100*o**3 + 313214528*o**2 - 80568576*o = 0. -1496, -9, 0, 1/4 Solve -3*j**4 - 48*j**3 - 123*j**2 - 78*j = 0 for j. -13, -2, -1, 0 Factor 5*s**3 - 2255*s**2 - 6830*s + 9080. 5*(s - 454)*(s - 1)*(s + 4) Factor s**5 + 710*s**4 + 169096*s**3 + 13732930*s**2 + 47659175*s - 1349699000. (s - 8)*(s + 13)*(s + 235)**3 Determine z, given that z**4/4 + 13159*z**3/4 - 13161*z**2/4 - 13159*z/4 + 3290 = 0. -13160, -1, 1 Suppose 2*n**2/15 + 724*n/15 + 96 = 0. What is n? -360, -2 Factor -f**2/2 - 252288*f - 31824617472. -(f + 252288)**2/2 Factor 4*b**4/7 - 12872*b**3 + 507330564*b**2/7 + 144990208*b + 507510784/7. 4*(b - 11264)**2*(b + 1)**2/7 Factor p**2/11 - 43094*p/11. p*(p - 43094)/11 Suppose -2*o**4 - 250*o**3 - 2576*o**2 - 7800*o - 5472 = 0. Calculate o. -114, -6, -4, -1 Solve 5*r**4 + 720*r**3 + 30540*r**2 + 304640*r - 737280 = 0 for r. -64, -18, 2 Factor 2*z**3/3 + 1976*z**2/3. 2*z**2*(z + 988)/3 Find c such that 2*c**5/17 + 438*c**4/17 - 3154*c**3/17 + 2274*c**2/17 + 3152*c/17 - 2712/17 = 0. -226, -1, 1, 6 Solve -6*k**4 + 19207*k**3 + 131499*k**2 + 93038*k - 19248 = 0. -6, -1, 1/6, 3208 Find g such that -3*g**4 + 5069*g**3/3 + 281654*g**2/3 - 648596*g/3 + 130168/3 = 0. -53, 2/9, 2, 614 Solve -4*h**5/9 + 32*h**4/9 + 8*h**3/3 - 224*h**2/9 + 268*h/9 - 32/3 = 0 for h. -3, 1, 8 What is m in 3*m**2/8 - 25269*m/4 + 212840787/8 = 0? 8423 Determine c, given that -2*c**5/7 - 30*c**4/7 - 106*c**3/7 - 50*c**2/7 + 108*c/7 + 80/7 = 0. -10, -4, -1, 1 Factor -x**5/5 - 6*x**4/5 + 6*x**3/5 + 44*x**2/5 + 51*x/5 + 18/5. -(x - 3)*(x + 1)**3*(x + 6)/5 Solve -g**3 - 325*g**2 - 11154*g = 0. -286, -39, 0 Determine y, given that 2*y**4 - 6*y**3 - 104*y**2 + 168*y + 1440 = 0. -5, -4, 6 Find m, given that -m**2/2 + 4029*m/2 - 4027 = 0. 2, 4027 Suppose 11*z**2/3 + 5848*z/3 + 3884 = 0. Calculate z. -5826/11, -2 Determine s, given that -3*s**4 - 87*s**3 + 384*s**2 - 396*s = 0. -33, 0, 2 Solve -33*f**5 - 2294*f**4 - 46319*f**3 - 219414*f**2 - 103716*f - 11880 = 0 for f. -33, -30, -6, -1/3, -2/11 Let -u**5/6 + 709*u**4/6 - 20767*u**3 - 189392*u**2/3 - 126736*u/3 = 0. Calculate u. -2, -1, 0, 356 Solve -2*f**3/9 + 40*f**2/9 + 2776*f/9 - 5888/3 = 0. -32, 6, 46 Factor -i**2/8 + 1861*i/8 + 20713/4. -(i - 1883)*(i + 22)/8 Factor 2*q**2/5 - 1648*q - 8242/5. 2*(q - 4121)*(q + 1)/5 Factor -2*b**2/11 + 17246*b/11 + 259140/11. -2*(b - 8638)*(b + 15)/11 Determine a, given that -5*a**5/3 + 602*a**4/3 - 5065*a**3 - 61198*a**2/3 - 42788*a/3 + 9288 = 0. -2, 2/5, 43, 81 Suppose -4*l**2/7 + 28408*l/7 - 56704 = 0. Calculate l. 14, 7088 Suppose -4*p**3 + 98080*p**2 - 601230400*p = 0. Calculate p. 0, 12260 Solve -r**5/2 + 87*r**4/2 + 89*r**3 = 0 for r. -2, 0, 89 Find s such that -4*s**3/7 + 1214256*s**2/7 - 92151102096*s/7 = 0. 0, 151782 Solve 2*t**2/11 + 214554*t/11 - 858248/11 = 0. -107281, 4 Factor g**3 + 46*g**2 + 108*g - 2520. (g - 6)*(g + 10)*(g + 42) Determine p, given that 5*p**4/2 - 15*p**3/2 - 85*p**2 - 120*p = 0. -3, -2, 0, 8 Solve 3*w**4 + 186*w**3 - 2880*w**2 - 235008*w = 0. -48, 0, 34 Factor 3*u**2/5 + 37422*u/5 - 112293/5. 3*(u - 3)*(u + 12477)/5 Suppose -2*a**2/3 + 206*a - 27136/3 = 0. What is a? 53, 256 Suppose -2*a**3/11 + 42136*a**2/11 - 221719482*a/11 - 2221410420/11 = 0. Calculate a. -10, 10539 What is s in -4*s**2 + 172*s + 27392 = 0? -64, 107 Factor 5*y**2/2 - 210510*y + 4431446010. 5*(y - 42102)**2/2 Factor -r**3/3 - 2664*r**2 - 39935*r/3. -r*(r + 5)*(r + 7987)/3 Solve -2*l**4 + 340*l**3 - 16050*l**2 + 136000*l - 320000 = 0. 5, 80 Find k, given that -5*k**2 + 485*k - 8250 = 0. 22, 75 Find l, given that 2*l**4/25 - 74*l**3/5 - 1896*l**2/25 - 776*l/25 + 608/5 = 0. -4, -2, 1, 190 What is h in 3*h**4 - 10818*h**3 + 10803*h**2 + 43272*h - 43260 = 0? -2, 1, 2, 3605 Determine y, given that y**5 - 1627*y**4/3 - 7681*y**3/3 + 12587*y**2/3 - 1094*y = 0. -6, 0, 1/3, 1, 547 Determine j so that 4*j**5 - 112*j**4 - 152*j**3 + 1008*j**2 + 1044*j = 0. -3, -1, 0, 3, 29 Factor 4*i**2/7 + 4532*i + 63432/7. 4*(i + 2)*(i + 7929)/7 Factor 5*x**4 + 149315*x**3 + 298615*x**2 + 149305*x. 5*x*(x + 1)**2*(x + 29861) Find r such that 30*r**2/11 + 6618*r/11 - 2652/11 = 0. -221, 2/5 Determine c so that c**3/2 + 16*c**2 + 267*c/2 + 270 = 0. -20, -9, -3 Find z such that 112*z**5 + 1060*z**4 + 2656*z**3 + 580*z**2 - 968*z + 160 = 0. -5, -4, -1, 1/4, 2/7 Factor -k**2/6 - 31227*k/2 + 327908/3. -(k - 7)*(k + 93688)/6 Find c such that 5*c**3 + 70235*c**2 - 5*c - 70235 = 0. -14047, -1, 1 Suppose b**2 - 9858*b - 9859 = 0. Calculate b. -1, 9859 Find q such that -4*q**2 - 29672*q + 207900 = 0. -7425, 7 Suppose -1102736*o**5 - 50927576*o**4 - 9291420*o**3 - 566050*o**2 - 11500*o = 0. What is o? -46, -5/82, 0 Factor -27*s**2 - 75035*s - 5558. -(s + 2779)*(27*s + 2) Find w, given that w**3/5 + 32*w**2/5 + 16*w - 640 = 0. -20, 8 Factor u**3/5 + 59*u**2/5 + 599*u/5 + 329. (u + 5)*(u + 7)*(u + 47)/5 Suppose -4*x**2 - 984*x - 3872 = 0. What is x? -242, -4 Let -2*k**3/11 - 168*k**2/11 + 1470*k/11 + 17836/11 = 0. What is k? -91, -7, 14 Solve 3*j**5 - 27*j**4 - 1518*j**3 + 11088*j**2 - 12768*j - 25344 = 0 for j. -22, -1, 4, 24 Let -1275*l**3 - 1308140*l**2 + 1319685*l - 10270 = 0. Calculate l. -1027, 2/255, 1 Factor -b**2 + 31554*b - 31553. -(b - 31553)*(b - 1) Find c, given that -2*c**5/11 + 5222*c**4/11 - 309640*c**3 - 3432160*c**2/11 + 13624192*c/11 + 13645088/11 = 0. -2, -1, 2, 1306 What is v in 15*v**3 + 2590*v**2 + 19045*v + 11550 = 0? -165, -7, -2/3 Determine l so that l**4/6 + 29*l**3/3 - 392*l**2/3 - 869*l/3 - 299/2 = 0. -69, -1, 13 Let -2*a**5/9 - 128*a**4 + 386*a**3 = 0. Calculate a. -579, 0, 3 Factor -4*c**3 - 4880*c**2 - 1521972*c - 20362104. -4*(c + 14)*(c + 603)**2 Factor 2*d**5 - 178*d**4 + 1430*d**3 + 127050*d**2. 2*d**2*(d - 55)**2*(d + 21) Find z, given that -z**2 - 22942*z - 131583841 = 0. -11471 Find p such that -4*p**3 - 2704*p**2 - 132676*p - 373800 = 0. -623, -50, -3 Solve -2*p**2 + 32988*p - 136026018 = 0 for p. 8247 Let 20*m**2 + 302285*m + 75570 = 0. Calculate m. -15114, -1/4 Determine g, given that 3*g**4 + 141*g**3 - 339*g**2 - 2205*g = 0. -49, -3, 0
{ "pile_set_name": "DM Mathematics" }
ify (j*(j*j**(-7)/j)/j)**16 assuming j is positive. j**(-112) Simplify (p*((p*p*p**(3/8)*p*p)/p)/p)**(12/11) assuming p is positive. p**(81/22) Simplify (((h/(h*h**(-2))*h)/h)/h)**(-22)*(h**(-2/7))**(-6/5) assuming h is positive. h**(-758/35) Simplify (b/((b**0/b)/b))**31/(b*b/(b*b**(-1/6))*b*b/(b/b**6)) assuming b is positive. b**(509/6) Simplify ((j**(1/4))**(2/29))**(1/6) assuming j is positive. j**(1/348) Simplify (p**(-1)/p)**(-13)*p/(p/p**(1/5))*p*p**(-5) assuming p is positive. p**(111/5) Simplify h*h**17*h**(3/5) assuming h is positive. h**(93/5) Simplify (y*(y/(y/(y*(y*y**0)/y)))/y*y*((y/(y/(y/(y*y**(-2)*y*y))))/y)/y)**40 assuming y is positive. 1 Simplify l**(-22)/(l/(l/l**10)) assuming l is positive. l**(-32) Simplify (h**(-3)/h**6)/(h*h/(((h**(6/5)*h)/h)/h)*h*h*(h/(h/(h/(h/h**(-1/4)))))/h*h) assuming h is positive. h**(-251/20) Simplify r**7*r**(-4/9) assuming r is positive. r**(59/9) Simplify (((r**(1/7)*r)/r*r)/r**(-2/3))**(2/49) assuming r is positive. r**(76/1029) Simplify v**(-4/21)/((v/(v**(-4/5)/v)*v*v)/v) assuming v is positive. v**(-419/105) Simplify (g**(-2/3))**21 assuming g is positive. g**(-14) Simplify l/(l/(l/l**(-2/17)))*l**(-16)*l assuming l is positive. l**(-236/17) Simplify (w/(w**(10/3)*w))**(-50) assuming w is positive. w**(500/3) Simplify (o**9)**(2/7) assuming o is positive. o**(18/7) Simplify (t**(-4/3)*t)**16 assuming t is positive. t**(-16/3) Simplify t**(-7)/(t**3/t*t)*(t/t**(-1/3))**(-5/12) assuming t is positive. t**(-95/9) Simplify (f/(f**(-2/7)*f))**(2/81)/(f/(f*f**(1/12))*f**(5/6)/f) assuming f is positive. f**(583/2268) Simplify ((p**2)**(-8))**38 assuming p is positive. p**(-608) Simplify o/(((o*o/(o/(o*o*o**22))*o)/o)/o)*((o*o**(-16)/o)/o)/o assuming o is positive. o**(-41) Simplify ((b**(1/3)*b*b)/b**7)**(11/2) assuming b is positive. b**(-77/3) Simplify (m/(m/(m/m**(9/7))))**28 assuming m is positive. m**(-8) Simplify ((c*c**(-18))/(c/c**(-12/7)))**(-43) assuming c is positive. c**(5934/7) Simplify (s**(-7/3)/s*s*s*s**(-3/5))**50 assuming s is positive. s**(-290/3) Simplify b**(1/20)/(b/(b*((b*b**3/b*b)/b)/b*b*b))*b**(-6)/b*b/b**(-3/2)*b assuming b is positive. b**(11/20) Simplify (((t/(t/(t/t**(-1))))/t)/t*t)/t*t**(-2)*((t/t**(-10))/t)/t**(2/3) assuming t is positive. t**(22/3) Simplify q/(((q*q/(q**19/q)*q)/q)/q)*q/q**(-2/65) assuming q is positive. q**(1237/65) Simplify (w**(-3)*w**3/w)**(2/69) assuming w is positive. w**(-2/69) Simplify (h**(2/33)*h)/(h*h**(2/45)/h) assuming h is positive. h**(503/495) Simplify ((b/(b/(b/(b/(b*b**(-1))))))**(1/66))**(2/67) assuming b is positive. 1 Simplify p/p**1*p/((p*p**(-3))/p)*(((p**(-5)*p)/p)/p)/p*p/(p/(p*p/(p/p**(-1/6)))*p) assuming p is positive. p**(-19/6) Simplify ((u*u**0)**45)**(-23) assuming u is positive. u**(-1035) Simplify u**5/u**(-1/21) assuming u is positive. u**(106/21) Simplify x**20*x**(-12) assuming x is positive. x**8 Simplify ((f/(f/(f/((f/(f**(2/3)/f))/f))))**31)**(-44) assuming f is positive. f**(-2728/3) Simplify ((t**1)**(-4/11))**48 assuming t is positive. t**(-192/11) Simplify (b/(b*b**(-2/5)/b)*b)**(-19/6) assuming b is positive. b**(-38/5) Simplify (z/(z/(z/z**(-7)))*z*z**(-5))/(z**1)**34 assuming z is positive. z**(-30) Simplify ((t**(1/10)/t*t)/t*t*t)**38 assuming t is positive. t**(209/5) Simplify s**23/(s**11/s) assuming s is positive. s**13 Simplify (w*w**(-22)*w)**(-1/11) assuming w is positive. w**(20/11) Simplify h*(h/((h*h/(h*h*h**32*h))/h)*h)/h*h*h*(h/(h/(h**43*h)))/h*h assuming h is positive. h**82 Simplify (((d*d**(-2/11))/d*d)/(d/(d/d**13*d)))**(2/73) assuming d is positive. d**(-246/803) Simplify (i**0)**(-4)*(i/i**(1/2))**(-25) assuming i is positive. i**(-25/2) Simplify (o/o**(1/3)*o**(-7))/(o**(2/7)*o)**(-42) assuming o is positive. o**(143/3) Simplify (k**8)**(-16/9) assuming k is positive. k**(-128/9) Simplify ((k*k**(1/6))**39)**(-3/23) assuming k is positive. k**(-273/46) Simplify (t**(-1/5)/(t/t**(-1)))**(-32) assuming t is positive. t**(352/5) Simplify (z**(-1/5)*z)/z*z/z**6*(z*z**2)/z**2 assuming z is positive. z**(-21/5) Simplify ((u/(u*((((u*(u*u**(-16/3))/u*u*u)/u)/u)/u)/u))/u)/u**(6/7) assuming u is positive. u**(94/21) Simplify (((g*(g*g**(1/4)*g)/g)/g)**21)**(1/53) assuming g is positive. g**(105/212) Simplify ((u**9/u)**50)**(2/23) assuming u is positive. u**(800/23) Simplify u**(4/5)/(u/(u/(u**9/u))) assuming u is positive. u**(-36/5) Simplify (u/u**3)/(u*u**(2/21)*u)*(u**0)**2 assuming u is positive. u**(-86/21) Simplify ((z/(z*z/z**(-1)))/z**(-2/15))/(z**1/z)**(-34) assuming z is positive. z**(-28/15) Simplify (t/t**(-6)*(t*t/t**(1/5))/t)/(t**4/t*(t**(-3/8)/t)/t) assuming t is positive. t**(287/40) Simplify (y*y/y**4)/(y**13/y) assuming y is positive. y**(-14) Simplify (f**(-3/4)*f**3)/((f*(f/f**0)/f)/f*f)**(1/32) assuming f is positive. f**(71/32) Simplify (i*i/(i**(-10/9)/i))**16 assuming i is positive. i**(592/9) Simplify ((z**0)**19)**(-1/20) assuming z is positive. 1 Simplify (f*f**(1/2))**41/(f**(1/3))**(-36) assuming f is positive. f**(147/2) Simplify (b/(b**(-10)/b))/(b/b**(-15)) assuming b is positive. b**(-4) Simplify (d**(2/7))**(2/15)/((d*(d**(5/3)*d)/d)/(d/(d*d**(-1)))) assuming d is positive. d**(-57/35) Simplify (o*(o/((o/o**8)/o))/o*o/o**8)/(o**(-1/4))**(-6) assuming o is positive. sqrt(o) Simplify (j**7*j*j**(3/4))**(1/15) assuming j is positive. j**(7/12) Simplify k*k**(-5)*(k**(-2/3)*k)/k assuming k is positive. k**(-14/3) Simplify j**4*j/(j*j**(-14)/j*j*j) assuming j is positive. j**17 Simplify z**(-3)/((z*(z**3*z)/z)/z) assuming z is positive. z**(-6) Simplify ((o*(o/(o*o**(-7)))/o)/o**(-6))**(-2/3) assuming o is positive. o**(-26/3) Simplify s/(((((s*s/(s**(-2/15)*s)*s*s*s)/s)/s)/s)/s)*((s/(s/s**(-3/5)))/s)/s*s*s**(-1/4)*s/(s/(s*s**(-5))) assuming s is positive. s**(-299/60) Simplify j**3*(j/j**(-2/7))/j*j*j/j**(5/2)*j/(j*(j/((j**(1/5)*j)/j)*j)/j) assuming j is positive. j**(139/70) Simplify ((z*z**(-3)/z)/(z/z**(3/8)))/(z**(3/5)/z*z*z*z**(-5)*z) assuming z is positive. z**(-49/40) Simplify (h**(2/3)*h)**18*h/(h/(h**1*h))*h**(-5) assuming h is positive. h**27 Simplify (x**(2/11))**23 assuming x is positive. x**(46/11) Simplify (k*k**(3/17))/k**(-18) assuming k is positive. k**(326/17) Simplify (o**(1/12)*o**(3/5))**23 assuming o is positive. o**(943/60) Simplify ((u*u**(-2/5)*u*u)**(-2/71))**(-11) assuming u is positive. u**(286/355) Simplify (u**2*u)**22/(u*u*(u/((u/(((u*u**(1/9))/u)/u))/u))/u*u**2) assuming u is positive. u**(566/9) Simplify (d/(d/(d*d**(-6/7)/d*d)))/d*d**14 assuming d is positive. d**(92/7) Simplify (k/k**(1/6)*k)**(-3/2) assuming k is positive. k**(-11/4) Simplify y**(1/45)/(y*y**24/y) assuming y is positive. y**(-1079/45) Simplify (d**(2/13)/d*(d/d**(1/3))/d)**(6/7) assuming d is positive. d**(-92/91) Simplify ((l**(-5))**(-21))**41 assuming l is positive. l**4305 Simplify ((d**(-1))**(-49))**19 assuming d is positive. d**931 Simplify u**5/(u/u**(-20)) assuming u is positive. u**(-16) Simplify v**0*v**(6/11)*v**(2/9)*(v/(v**(3/7)*v*v))/v assuming v is positive. v**(-1151/693) Simplify (m/m**6)/(m/m**(34/3)) assuming m is positive. m**(16/3) Simplify z**(2/75)/z**(-1/29) assuming z is positive. z**(133/2175) Simplify (t**(1/8)/t*t*(((t/t**(1/2))/t)/t)/t*t)**(2/71) assuming t is positive. t**(-11/284) Simplify (o**(-5)/o)**(-1/9) assuming o is positive. o**(2/3) Simplify ((x**36*x)/x)/x**(-17/3) assuming x is positive. x**(125/3) Simplify l**25/l*l*l*l*l**(1/61) assuming l is positive. l**(1648/61) Simplify ((h/h**(-4/23))/h)/(h/h**(-35)) assuming h is positive. h**(-824/23) Simplify ((p/(p*p**3))/p*p*p**(-3/5))/(((((p*p**(-2)/p*p*p)/p)/p)/p)/p**(-1)) assuming p is positive. p**(-8/5) Simplify (p/(p/(p/p**(3/2)*p)*p)*p/(p*(p*p*p**(-1/5)*p)/p))/(p**(-2/9)*(p*(p**(-1/4)/p)/p)/p) assuming p is positive. p**(31/180) Simplify m**(-1/3)/m**9*m**(9/5)/(m*m*m**(1/11)) assuming m is positive. m**(-1588/165) Simplify (l*l**(1/2)*l)**32/(l**(-3/5)*l*l*l/l**(1/3)) assuming l is positive. l**(1169/15) Simplify (q/(q/((q**(-4/7)*q)/q)*q)*q**(-1/3)*q)**(-32) assuming q is positive. q**(608/21) Simplify (u**(-11)*u*u/((u*u/(u/(u/u**(-17))*u))/u))**(-2/49) assuming u is positive. u**(52/49) Simplify (c**6)**(-15/8) assuming c is positive. c**(-45/4) Simplify j**(
{ "pile_set_name": "DM Mathematics" }
8*w**5 + 2*w**4 wrt w. -24*k**2 - 1680*w**2 + 48*w What is the second derivative of 3*b**4*p - 6*b**4 - 2*b**3 - 12*b*p + b - 2*p wrt b? 36*b**2*p - 72*b**2 - 12*b Find the third derivative of -2*l*o**3*v**3 - 477*l*o**3 - 5*l*o*v**2 + 11*l*v**3 + o**2 wrt o. -12*l*v**3 - 2862*l Find the first derivative of 144*h**3 - h**2 + 1295. 432*h**2 - 2*h What is the second derivative of -3*f**3 - 2742*f**2 + 307*f + 50 wrt f? -18*f - 5484 Find the third derivative of -j**2*s**4 - 14*j**2 + 8*j*s**4 - 507*j*s**3 - 2*s**2 - 41 wrt s. -24*j**2*s + 192*j*s - 3042*j What is the second derivative of n**5 - 2110*n**4 - 2077*n? 20*n**3 - 25320*n**2 What is the first derivative of -n**2 - 504*n + 307? -2*n - 504 Find the second derivative of 21509*b**2 - 15267*b. 43018 Find the third derivative of 5*a**6 - 5*a**5 + 8*a**4 - 4*a**2 + 5*a + 37 wrt a. 600*a**3 - 300*a**2 + 192*a Find the second derivative of 36*k**2*o**3 + 2*k**2 - 158*k*o**3 + 2*k*o wrt k. 72*o**3 + 4 Find the first derivative of -1334*s + 2429. -1334 What is the second derivative of 422*s**3*y**2 - 219*s**3*y - s**2*x*y**2 - 2*s**2*x*y - 3*s*x wrt y? 844*s**3 - 2*s**2*x What is the first derivative of 5*s**2 + 5*s + 133 wrt s? 10*s + 5 Differentiate 165*h**2 + 88 wrt h. 330*h Find the first derivative of j**2 + 177*j + 59. 2*j + 177 Find the second derivative of 35*d**2*v**2 + 785*d**2*v - 4*d*v**2 + 2*v**2 - 3*v wrt v. 70*d**2 - 8*d + 4 Find the first derivative of -3*w**2*y + 159*w**2 - 2*w*y - 4*y**2 wrt y. -3*w**2 - 2*w - 8*y What is the second derivative of 13*s**5 + 11*s**4 - 2*s**3 - 5630*s + 3? 260*s**3 + 132*s**2 - 12*s What is the second derivative of -b**3 + 35*b**2 - 205*b? -6*b + 70 Find the third derivative of 4695*b**3 + 293*b**2 - 4. 28170 Find the third derivative of 314*f**3*l*o**3 + 2*f**3*l*o**2 + 2*f**3*o**2 - 11*f**2*l*o**2 - 2*f*l*o**3 - 3*f*l wrt o. 1884*f**3*l - 12*f*l Find the third derivative of -22*m*y**4 + 3*m*y**3 - 21*m*y**2 - 2*y**4 wrt y. -528*m*y + 18*m - 48*y Find the third derivative of 36*n**5 + 27*n**4 - 65*n**2 - 12*n wrt n. 2160*n**2 + 648*n What is the third derivative of 115*j**6 - 2*j**5 + 5*j**2 + 6*j wrt j? 13800*j**3 - 120*j**2 Find the third derivative of 309*k**3*s**4 - k**3 + k*s**4 + k*s**2 - 7*k wrt s. 7416*k**3*s + 24*k*s What is the derivative of -11776*y**2 - 1748? -23552*y Differentiate 7*f*n**2*x**3 - 27*f*n**2 - f*x + f + 13975*n**2*x**2 - n**2*x + n*x**3 with respect to f. 7*n**2*x**3 - 27*n**2 - x + 1 Differentiate -13832*c*z**2 - 8*z**2 - 25*z + 2 wrt c. -13832*z**2 What is the second derivative of 10*n**4 + n**3 - 7*n**2 - 13331*n wrt n? 120*n**2 + 6*n - 14 What is the third derivative of 200*c*j**3 + 14*c*j**2 + 9*c wrt j? 1200*c What is the first derivative of 2*g**4 + 139*g**2*z - z - 157 wrt g? 8*g**3 + 278*g*z Differentiate 540*i - 181 wrt i. 540 What is the third derivative of -202*i**4*z**2 - 6*i**3*z**2 + 546*i**2*z**2 + 2*i**2 wrt i? -4848*i*z**2 - 36*z**2 Find the third derivative of 16*i**3*n**2 - 5*i**3 - 112*i**2 - 3*i*n**2 wrt i. 96*n**2 - 30 What is the second derivative of -3*z**4 - 3*z**3 + 2*z**2 + 3350*z? -36*z**2 - 18*z + 4 What is the third derivative of 3*c*q**5 + 299*c*q**3 + 2*c*q**2 + 3*c + 14*q**2 wrt q? 180*c*q**2 + 1794*c Find the third derivative of 20*y**4*z + 4*y**4 - y**3*z + 2*y**2 + 107*y*z + 2*y wrt y. 480*y*z + 96*y - 6*z What is the second derivative of 272*m**3*o*s**2 - m**3*o*s + 6*m*o*s - 7*o*s wrt s? 544*m**3*o Find the second derivative of -j**3 + 12*j**2 - 3057*j - 1. -6*j + 24 What is the second derivative of 1569*b**2 - 131*b - 2 wrt b? 3138 What is the second derivative of -6*g**5 - 13*g**3 - g + 143 wrt g? -120*g**3 - 78*g Find the third derivative of 5*w**6 + 19*w**5 + 25*w**3 + 9596*w**2 wrt w. 600*w**3 + 1140*w**2 + 150 What is the third derivative of -11*k*x**6 - 3*k*x**4 - 123*k*x**2 wrt x? -1320*k*x**3 - 72*k*x Find the second derivative of 124*t**5 + 43*t + 1. 2480*t**3 What is the second derivative of -c*s**2*z - 2*c*s**2 + c*s*z - 5*s**2*z + 141*s*z wrt s? -2*c*z - 4*c - 10*z Find the second derivative of -125*g**2 + 136*g wrt g. -250 Find the second derivative of d**2*n - 1104*d**2*o**3 + 188*d*n*o**3 + 4*d*o wrt d. 2*n - 2208*o**3 What is the second derivative of 133*d*t**2 - 52*d*t - d + 25*t**5 + t + 2 wrt t? 266*d + 500*t**3 Differentiate -77*i**2*k*o**2*q + 2*i**2 - i*o**3 + 6*k*o**3*q - 18*o**3*q - 2*o wrt k. -77*i**2*o**2*q + 6*o**3*q Differentiate 11*m + 317 wrt m. 11 What is the second derivative of -21*f**3*x**3 + 6*f**3 - f*x**3 - 19*x**3 wrt f? -126*f*x**3 + 36*f What is the third derivative of 17*l**5 + 26*l**3 - 3008*l**2 wrt l? 1020*l**2 + 156 What is the second derivative of 5*a**3*n*u**2 + 2*a**3*n*u + 2*a**3*n - 6*a**3*u**2 - 141*a*n wrt u? 10*a**3*n - 12*a**3 What is the second derivative of -11030*o**2 - 2*o + 4572? -22060 Differentiate 485*p**2*u + p*u + 136*u + 2 with respect to p. 970*p*u + u Find the third derivative of 20681*d**3 + 2*d**2 + 8*d - 216. 124086 What is the first derivative of -46*f**3*l - 6*f**3 + 65*l - 6 wrt f? -138*f**2*l - 18*f**2 What is the first derivative of -4*g**4 + 2*g**3 + 14*g**2*i - 478*i wrt g? -16*g**3 + 6*g**2 + 28*g*i Differentiate -2*d*n*x**3 - 6*d*n*x**2 - 11*n*x + 2*x**3 + 3 with respect to d. -2*n*x**3 - 6*n*x**2 Find the first derivative of -4816*h + 1060. -4816 What is the third derivative of -p*z**3 - 2*p*z**2 + 1065*p*z - 4536*z**3 wrt z? -6*p - 27216 What is the first derivative of -5400*j**2 - 2*j - 7787 wrt j? -10800*j - 2 Differentiate -3177*a + 3972 with respect to a. -3177 What is the derivative of d**3*t**2 + 28*d**2*t**2 + 2*d**2 - 93*t**2 wrt d? 3*d**2*t**2 + 56*d*t**2 + 4*d What is the third derivative of -57*z**3 - 317*z**2 wrt z? -342 Find the third derivative of -2*l**6 + 1465*l**5 - 3*l**2 + 253*l. -240*l**3 + 87900*l**2 Find the first derivative of 5*a**2*l + 164*a**2 - 24*l + 1 wrt a. 10*a*l + 328*a What is the derivative of -95*b**2*n*w - 2*b**2*w + 2*n*w**2 + 21*w**2 wrt n? -95*b**2*w + 2*w**2 What is the first derivative of 38*u**4 + 2*u**2 - 178 wrt u? 152*u**3 + 4*u Find the second derivative of -23*a**4*f + 2*a**3*f - 3*a*f - 29*a wrt a. -276*a**2*f + 12*a*f Differentiate 3*d*g**2*r + 41*d*g*r*u**2 - 7*d*g - g**2*r*u**2 - 62*g**2 + 4*r*u**2 with respect to d. 3*g**2*r + 41*g*r*u**2 - 7*g What is the third derivative of 10*o**4*q - 34*o**3*q**3 + 3*o**2*q**2 - 130*q**3 wrt o? 240*o*q - 204*q**3 Find the third derivative of 5*k**4*l - 15*k**4 - 2*k**3*l - 7*k**2 - k*l wrt k. 120*k*l - 360*k - 12*l Differentiate 2*b**3*j + b**3 - 63*b*j**2 + 39*j**2 - 6 with respect to b. 6*b**2*j + 3*b**2 - 63*j**2 What is the third derivative of 2*b*n**4 - 5*b*n - 6*n**4 + 92*n**3 + 28*n**2 wrt n? 48*b*n - 144*n + 552 Find the second derivative of -185*i*s**2 + 4*i*s + i + 8*s**2 - 108*s wrt s. -370*i + 16 What is the third derivative of 411*a**6*l**2 - 2*a**3*l**2 - 13*a**2 + a*l**2 - 14*l**2 wrt a? 49320*a**3*l**2 - 12*l**2 What is the third derivative of -19*n**3*o**3*u + 18*n**3*o*u**2 + n**2*o**3 + 582*n**2*o*u**2 + 2*n**2*u wrt n? -114*o**3*u + 108*o*u**2 Differentiate j*k**2 + j*k + 240*j - 601*k**2 + 2 with respect to j. k**2 + k + 240 What is the derivative of -419*p**2 - p + 14285? -838*p - 1 Find the third derivative of 2*c**4*l**3 + 21*c**4*l**2 + 2*c**2*l**3 - 2*c*l**3 - 2*l**3 wrt c. 48*c*l**3 + 504*c*l**2 What is the second derivative of -3*i*s**2 - 58*i*s - 2*i - 2*s**5 - 21*s**4 - 22*s**2 - 3*s - 2 wrt s? -6*i - 40*s**3 - 252*s**2 - 44 Find the second derivative of 3*q**3 - 10*q**2 - 3*q - 8. 18*q - 20 What is the first derivative of -1411*i - 426 wrt i? -1411 Find the first derivative of -34*s**3 - 10*s**2 + 7048. -102*s**2 - 20*s Find the second derivative of -191*p*t**2 - p*t - 4*p - 4*t wrt t. -382*p Find the third derivative of 47*a**3*j**2*l + a**3*j**2 - 2*a**3*l + 4*a**2*l - 8*a**2 + a*j*l - 2*j**2*l wrt a. 282*j**2*l + 6*j**2 - 12*l Find the first derivative of 2067*j**2 + 5641 wrt j. 4134*j Find the second derivative of h**3*u**3 - 133*h**3 - 4*h*u**3 - 3*u**3 + u**2 wrt h. 6*h*u**3 - 798*h What is the first derivative of -6*m*v*w*z - 2*m*v*w + 139*m*z - 2*v*z + 2*v + 422*w*z + 2*w wrt m? -6*v*w*z - 2*v*w + 139*z Find the second derivative of -6527*p**3 - 27*p + 38. -39162*p What
{ "pile_set_name": "DM Mathematics" }
2*(sqrt(136) - sqrt(136)*1))/(sqrt(56)/(sqrt(28)/sqrt(4))))**2 - ((-1*sqrt(68)*1)/(2*sqrt(400)))**2. 6783/400 Simplify ((0 + sqrt(320) + 2)*-5 + 4 + (1 + (1*sqrt(320) - sqrt(320)) - 3*(2 + sqrt(320))))**2. 1408*sqrt(5) + 20601 Simplify ((sqrt(95) - (-3*sqrt(95) + sqrt(95)))*-3 + (sqrt(95) - sqrt(95)*2*-6 - sqrt(95)))/(-1*sqrt(180)*5 + 1*sqrt(180)*-1). -sqrt(19)/12 Simplify (4*(-1 + sqrt(1584) + sqrt(1584) + sqrt(1584) + 6*-2*sqrt(1584) + (6*2*sqrt(1584) - sqrt(1584) - sqrt(1584)) + -5 + sqrt(1584)*2 + 4 + 3))**2. 1152*sqrt(11) + 228112 Simplify (sqrt(1008)*-2 + (sqrt(9072)*-3 + sqrt(63) - sqrt(63)))/(-2*(sqrt(1089) + -1*sqrt(1089) - (sqrt(72)*-2)/sqrt(8))). 11*sqrt(7) Simplify -1 + 5*(3*(sqrt(300) + 1)*-5 + 4 + 1 + sqrt(300)*2 + -3)**2. 16900*sqrt(3) + 254344 Simplify 5 + (sqrt(68) - -5*(sqrt(68) + 4)) + sqrt(68) + (2*sqrt(1088))**2 + (5 + sqrt(170)/sqrt(10))**2. 24*sqrt(17) + 4419 Simplify ((-2*sqrt(378) - sqrt(378))/(sqrt(2) - (sqrt(2) - sqrt(10)/(sqrt(10)/sqrt(2)))))/(sqrt(243)/(sqrt(1296) - sqrt(1296)*-1)). -72*sqrt(7) Simplify (-1*(-2*(sqrt(1900)*-1*-4 + sqrt(1900))*2 + 1)*-2*1)**2. -1600*sqrt(19) + 3040004 Simplify (1 + (5*-2*sqrt(242)*-4)**2 - (-3*((-1 + sqrt(242))*-6 + -1))**2)*-3. -925704 - 17820*sqrt(2) Simplify (sqrt(7) - (sqrt(7) + sqrt(7) + 4*sqrt(7) + 3))**2 + sqrt(343)*3 + 3 + sqrt(21)/(sqrt(15)/sqrt(5)*6). 307*sqrt(7)/6 + 187 Simplify -4*(-5*(sqrt(125)*-1 - sqrt(125)) - ((0 + sqrt(125) + sqrt(125))*-4 + sqrt(125)))**2 + (sqrt(500) + 1 + sqrt(500) + -2 + -1 + -2)**2. -142484 - 160*sqrt(5) Simplify -5*(2 + 4 + (sqrt(125)*2 + sqrt(125))*-6 + ((3*(sqrt(125)*1 + sqrt(125)) - sqrt(125))**2 - sqrt(125))). -15655 + 475*sqrt(5) Simplify (-1 + (sqrt(128)*-2 - (sqrt(2) + sqrt(128) + sqrt(2))))**2 - (-1*(-1 + sqrt(98)*1 - sqrt(98)))**2. 52*sqrt(2) + 1352 Simplify (2*(-1 + (sqrt(288) - (sqrt(288) + -1))) - (-3 + 3*sqrt(288)*-5))**2 + 3. 1080*sqrt(2) + 64812 Simplify -6*(3*(sqrt(117)*1 - sqrt(117) - sqrt(117)) - (sqrt(117) - (2*sqrt(117) + sqrt(117)))*2)/((sqrt(216)/sqrt(6) - sqrt(9))*1) + -5. -6*sqrt(13) - 5 Simplify -2 + (sqrt(624)/(sqrt(132)/(sqrt(33)/sqrt(3))))/(sqrt(28)/(2*sqrt(567) + sqrt(567) - sqrt(567))). -2 + 18*sqrt(13) Simplify 0 + sqrt(33)/(sqrt(576)/sqrt(12)) - (sqrt(33)/sqrt(108) - ((sqrt(22)*4)/sqrt(2))**2). sqrt(11)/12 + 176 Simplify (2*3*sqrt(85) + (sqrt(85)*2 + sqrt(85))*-2)/((sqrt(5000)*-2)/((sqrt(20)*2)/sqrt(2))). 0 Simplify (-5*-1*(-2 + sqrt(612)) + -4*sqrt(612)*3 + 3)**2 + -3. 588*sqrt(17) + 30034 Simplify (-5*(2*sqrt(24)*4 - (sqrt(288) + sqrt(288)*-1)/sqrt(12))/(-2*-5*(sqrt(12) - sqrt(48))))**2. 32 Simplify (sqrt(500)/(sqrt(30)/sqrt(3)) + -2*sqrt(3200) - 6*(-2*sqrt(72) + 4)*-2)**2. -21024*sqrt(2) + 98226 Simplify 5*(sqrt(156)*-1*2 + sqrt(156) + sqrt(156)*-2*-5)/(sqrt(24)/(sqrt(2) + sqrt(18)*-1)). -90*sqrt(13) Simplify ((sqrt(1088) + 1 + sqrt(1088) + -5 + (sqrt(17) + (sqrt(68) + -1*sqrt(68) + sqrt(68))/sqrt(4) - (1 + sqrt(272))))*6*2)**2. -20160*sqrt(17) + 483408 Simplify 0 + -5 + 1*(1 + sqrt(13)*-4 + 2 + (0 + sqrt(325))**2). -4*sqrt(13) + 323 Simplify (2 + -4 + (sqrt(11) - (sqrt(11) + (-5 + 1*sqrt(11))**2)))*-4 - (sqrt(88)*1*-6 - sqrt(88))/(5*sqrt(72)). -593*sqrt(11)/15 + 152 Simplify (-1*-5*sqrt(104)*-2*4)/(-1*sqrt(128)*1 + -2*(sqrt(128)*2 - sqrt(128) - sqrt(128))). 10*sqrt(13) Simplify (-4*(sqrt(242) - (-3 + 1*sqrt(242) + sqrt(242))) + (sqrt(50) + 0 - (sqrt(200) + 2)))*-2*4. -312*sqrt(2) + 112 Simplify (-3*(0 + sqrt(12) + (sqrt(432)*3 - sqrt(432)) + sqrt(588) + 0)*2)**2. 172800 Simplify ((sqrt(1573) - (sqrt(1573) - -4*2*sqrt(1573))) + sqrt(1573))**2*-4 + (3*sqrt(52)*1 + sqrt(52))/(sqrt(4) + sqrt(64)*6). -308308 + 4*sqrt(13)/25 Simplify (5*((sqrt(300)/sqrt(5))/sqrt(3) + sqrt(20))*-5)/((sqrt(60)/(sqrt(3)*-1))/(sqrt(6)/sqrt(3)*2)). 100*sqrt(2) Simplify -5*(2*(-4 + sqrt(17) + -2 + -2) + sqrt(119)/sqrt(28) + sqrt(1377) + -2). -115*sqrt(17)/2 + 90 Simplify -6*(-2 + sqrt(1088)*-2 + -3 - (-3 + 0 + sqrt(1088) - (-1*sqrt(1088) - sqrt(1088))**2*6))*1. -156660 + 144*sqrt(17) Simplify (-2 + 1*((5 + -5*sqrt(153)*5)*-3 + 3))**2. -6300*sqrt(17) + 860821 Simplify (-3 + -4*(-4 + (0 + sqrt(108))*-5 + -2) + 4)**2. 6000*sqrt(3) + 43825 Simplify sqrt(6)/sqrt(162) - (4 + -3 + sqrt(3))**2 - (-2*(sqrt(243)*-1)**2 + -2). -17*sqrt(3)/9 + 484 Simplify (sqrt(833) + ((sqrt(833) + -1)*1 - sqrt(833)))**2 + (-1*(-3 + sqrt(833)))**2 - (3 + ((sqrt(833) + -1)*-6*-5)**2). -748927 + 12544*sqrt(17) Simplify -1*(sqrt(325)*4 + (sqrt(13) - (sqrt(208) + 0))) + (-4*(sqrt(65) - sqrt(65)*-4))/(1*(sqrt(5) + 3*sqrt(5))). -22*sqrt(13) Simplify ((-1*sqrt(162) + sqrt(162))*6*-1)**2*-4 - -2*(-4 + 2 + sqrt(162))**2*2. -144*sqrt(2) + 664 Simplify ((-4*-3*6*sqrt(70)/sqrt(7))/((sqrt(720) + 3*sqrt(720))*3*-5))**2. 1/50 Simplify (2*-2*(-2 + sqrt(1100) + 0 + sqrt(1100) + sqrt(1100) - (sqrt(1100) + (sqrt(1100) + (-1*sqrt(1100) - sqrt(1100)) + sqrt(1100))*-2))*-3*-6)**2. -414720*sqrt(11) + 22830336 Simplify 6*(sqrt(136)/(sqrt(4) + sqrt(196))*1)/(6*(sqrt(2) + sqrt(128))*-3)*-2. sqrt(17)/108 Simplify 4 + (3 + -2 + 3*(sqrt(468)*-1 - sqrt(468)) + -1*((sqrt(468) + 0 + sqrt(468))*2 + -3))**2. -480*sqrt(13) + 46820 Simplify ((-2*(sqrt(189) + (sqrt(189) - -2*sqrt(189)*-1) - sqrt(189))*-6)/(sqrt(560)/sqrt(5) - (sqrt(35)*2)/sqrt(5)))**2. 972 Simplify (((sqrt(147) + sqrt(147) + sqrt(147)*2)*-4)/(2*(-2*sqrt(7) - sqrt(7))))/((sqrt(252) + 2*sqrt(252) - sqrt(7) - sqrt(35)/(sqrt(15)/sqrt(3)))*4). sqrt(3)/24 Simplify (1*(sqrt(104)*-3 + sqrt(104))*4)/((2*sqrt(72))/sqrt(9)*-1)*1. 4*sqrt(13) Simplify -2 + (4 + sqrt(7) + 0 - sqrt(7))*-1 + (-5*(sqrt(112) - (-1 + sqrt(112)) - sqrt(7)))**2 + -5. -50*sqrt(7) + 189 Simplify (((sqrt(24)/sqrt(48) - sqrt(8)) + sqrt(8) + (sqrt(128) - (sqrt(128) + 1*sqrt(128))))*4)/((sqrt(16)*-2)/sqrt(4) - -3*sqrt(484)). -15*sqrt(2)/31 Simplify -6*4*((-4 + (sqrt(99) - 4*(4 + sqrt(99))))**2 + (3 + sqrt(99) + 4)*6). -31992 - 9072*sqrt(11) Simplify 2 + 3 + (((-2 + sqrt(275) + 1)*-6)**2 - ((sqrt(275) + 0)**2 + 0 - (sqrt(275) - (3 + sqrt(275) + -1) - sqrt(275)))) + -2. -365*sqrt(11) + 9662 Simplify ((-4 + (0 + sqrt(192))*1 + sqrt(192) - ((5 + (sqrt(192) - (1 + sqrt(192))) - sqrt(192)) + -4)) + 3 + 4)**2*-3. -5211 - 432*sqrt(3) Simplify (5*-4*(-1 + 1*(-1 + sqrt(833)) - (6*(0 + sqrt(833)) + 0)))**2*4. 224000*sqrt(17) + 33326400 Simplify -3*(sqrt(243) + (-6*sqrt(243)*-1)**2 + sqrt(243)*-4 + -1 - (0 + (sqrt(243) - (0 + sqrt(243) + sqrt(243)))**2 - ((-2*sqrt(243) - sqrt(243))**2 + -1))). -32070 + 81*sqrt(3) Simplify -3 + (sqrt(19) - (sqrt(19) + sqrt(2299) + 1))**2 + (sqrt(19) + (sqrt(152)*-1)/sqrt(8))**2 + 3*sqrt(57)/sqrt(3) - ((-2 + sqrt(1539)*1)*-2 + 2)**2. -3895 + 241*sqrt(19) Simplify (1*(0 + sqrt(3))*4 - (1 + sqrt(300) + (sqrt(3) - (sqrt(3) - -1*sqrt(3)*4)))**2) + ((3*sqrt(36)/sqrt(3))**2 + sqrt(12) - -1*sqrt(243)/sqrt(9)). -3*sqrt(3) - 1 Simplify ((1*(sqrt(72) - sqrt(72)*2))/((sqrt(144)/sqrt(3))/sqrt(8)))/((sqrt(2688)*2 + sqrt(42))/(sqrt(42)/(sqrt(24)/sqrt(4)))). -sqrt(2)/17 Simplify (sqrt(40) + (sqrt(40)*-1 - sqrt(40)) - -2*sqrt(10)*1)/(3*(sqrt(242) + 1*sqrt(242) - sqrt(242))*1). 0 Simplify ((sqrt(119) + sqrt(119) + (sqrt(119) + (-3*sqrt(119) - sqrt(119)))*-4 + sqrt(119))/(sqrt(1260)/sqrt(5)) - (((sqrt(612) + -1)*-4 + 1)*3)**2)*6. -530118 + 12975*sqrt(17) Simplify 6*(((sqrt(153) - -1*sqrt(153))*-6)**2 + 3)*1*-3 + -3. -396633 Simplify (3 + 0 + (-4 + (2*sqrt(80) - sqrt(80)) + 5)**2 + -1)*2. 16*sqrt(5) + 166 Simplify (-3 + (sqrt(3888)*-3 - (2 + sqrt(48))*2)**2*4)*-5. -807665 - 18560*sqrt(3) Simplify (-4*-1*((3*(sqrt(147)*1 - sqrt(147)) - sqrt(147)*-2*-4) + 4*3*(sqrt(147)*1 + sqrt(147))))**2. 602112 Simplify -4 + (3*((sqrt(637) + 1 - (sqrt(1573) + 2)) + 5)*-6)**2. -10368*sqrt(13) + 72572 Simplify 1 + (6*(sqrt(121) - (sqrt(121) + 2*(sqrt(121)*-2 - sqrt(121)))))/((sqrt(704)*-2 + sqrt(11))*-1). 1 + 12*sqrt(11)/5 Simplify ((sqrt(363) + (0 + sqrt(363) - sqrt(363)) + -1 - 2*(1 + sqrt(363)))*2 - ((-2 + sqrt(363) + sqrt(363))*-3 - (sqrt(363) + -2)*-4))**2. 16 Simplify (sqrt(144) + sqrt(144) + -3*-1*sqrt(144))/sqrt(3) - (-5 + sqrt(9)/sqrt(3)*5 + -4). 9 + 15*sqrt(3) Simplify -4*(-4 + sqrt(25)/(4*(sqrt(20)/sqrt(4) - sqrt(5)) - sqrt(5)) + -4*(sqrt(180) - (sqrt(180) + (sqrt(180)*1 - sqrt(180)) + -1 - sqrt(180)))). 32 + 100*sqrt(5) Simplify ((2*(1*sqrt(228)*-2 + sqrt(228) + sqrt(228)*-2*3
{ "pile_set_name": "DM Mathematics" }
27. 9 Suppose -1259 = -8*g - 859. Let j be -4 - -2 - 1*-7. Suppose j*q + 55 = 2*t, 0*q - 3*q = 2*t - 31. What is the greatest common factor of t and g? 10 Let z = -6 - -10. Let r = -7 + 11. Let k = r + -3. What is the highest common divisor of z and k? 1 Suppose 736 = v + 223. What is the highest common divisor of v and 18? 9 Let y = -194 + 195. Let u(w) = -2*w**3 - w**2 + 3*w + 2. Let x be u(-2). Let f be 4*(x + 2)*y. Calculate the greatest common divisor of f and 5. 5 Let h = -1 - -2. Let n = h - -4. Let u(p) = p**3 + 5*p**2 - 21*p - 34. Let z be u(-7). What is the highest common divisor of n and z? 5 Let p be 18/4*(-68 - -86). Calculate the highest common divisor of p and 18. 9 Suppose 0 = -x + 4*t - 26, 2*t = -1 + 11. Let l = 33 + x. Calculate the highest common factor of 216 and l. 27 Suppose -5*k - 2*c + 20 = 0, 5 = -c + 2*c. Suppose k*p - 6*p = -48. Suppose -660 = 16*h - 21*h. Calculate the greatest common divisor of h and p. 12 Let j = -1257 - -1290. What is the greatest common factor of 9 and j? 3 Let f(b) = b + 9. Let q be f(9). Suppose -5*o + 3*x = -20, 4*o + 0*o - 2*x - q = 0. Let u be (-1 + -1 - o)*-5. What is the greatest common factor of u and 18? 9 Suppose 0 = 2*a + 3*a + n - 364, -4*n + 16 = 0. Suppose 0*p - 6*p + 2*p = 0. Suppose p = 5*x - 27 - 13. What is the highest common divisor of a and x? 8 Let v be (32/(-5))/(13/65). Let h be ((v/(-5))/4)/((-5)/(-175)). Calculate the highest common divisor of 16 and h. 8 Let c = 16 + -11. Suppose 0*q - c*q + g = -331, -2*g = 5*q - 328. Suppose 3*y - q = 72. Calculate the greatest common divisor of 23 and y. 23 Let z = 13 - -2. Let m = 26 - z. Calculate the greatest common factor of 44 and m. 11 Let t(a) = -33*a - 12. Let p be t(-5). Let b = p + -99. Calculate the greatest common divisor of b and 9. 9 Suppose 0 = 2*o, 0*j = 4*j + 3*o - 24. Suppose -1 + 21 = -5*h. Let g = h - -28. What is the highest common factor of j and g? 6 Let u(i) be the second derivative of -2*i**3/3 - 9*i**2/2 + 6*i. Let g be u(-4). What is the highest common divisor of 28 and g? 7 Let q = 17 - 23. Let y = -1 - q. Calculate the highest common divisor of y and 20. 5 Suppose 2*j + 5*z + 244 = 6*j, 3*z = 0. Suppose 3*x = 2*c + j, -x + 3*x + c = 29. Calculate the highest common divisor of x and 34. 17 Let r(y) = -4*y - 4. Let h be r(-6). Let c = 16 - h. Let t be (-2524)/(-10) + c/10. What is the greatest common divisor of t and 28? 28 Let q(o) be the first derivative of -3*o**2 - 34*o - 16. Let a be q(-19). Calculate the highest common factor of 10 and a. 10 Suppose -3*t + j - 3*j + 20 = 0, 5*j = -5*t + 40. Calculate the greatest common factor of t and 16. 4 Suppose -54*q - d - 168 = -58*q, 20 = -5*d. What is the highest common divisor of 41 and q? 41 Let g be (18/(-7))/((-132)/41888). What is the greatest common factor of g and 102? 102 Let n = 151 + -129. Calculate the greatest common divisor of n and 682. 22 Let g be (-274)/(-6) - 4/6. What is the highest common factor of 180 and g? 45 Let c(x) = -x**3 - 6*x**2 - x + 4. Let m = -13 - -7. Let k be c(m). Calculate the highest common factor of k and 2. 2 Let y = -40 - -41. Let r be (-1075)/(-10) - y/(-2). Calculate the greatest common divisor of 12 and r. 12 Let p = 42 - 50. Let b be 1/(-4) - 1346/p. Calculate the highest common factor of b and 24. 24 Suppose -16*x - 11502 = -34*x. What is the highest common factor of 9 and x? 9 Suppose 4*m - 27 = 84*z - 85*z, 4*m - 72 = -4*z. Calculate the greatest common factor of z and 5385. 15 Let s(x) = x**3 - 19*x**2 - 43*x + 39. Let i be s(21). What is the greatest common divisor of 450 and i? 18 Suppose 1290 = -29*v + 16370. What is the highest common divisor of 130 and v? 130 Let p(f) = 167*f**2 + 8*f + 22. Let c be p(-2). Calculate the greatest common divisor of c and 2. 2 Suppose 2*y = -y + 33. Suppose -27*j - j = -5*j - 2783. What is the highest common factor of y and j? 11 Let n be 16/(-20) - 7/(210/(-6144)). Calculate the greatest common divisor of n and 12. 12 Suppose 74 = 2*r - 88. Suppose -r = -5*h + 29. What is the highest common divisor of h and 55? 11 Suppose -4*z - 20*x + 98 = -22*x, -2*z = -2*x - 44. What is the greatest common factor of 189 and z? 27 Let p be 1*4 + -254*(-5)/(-10). Let v = 169 + p. Calculate the highest common divisor of v and 138. 46 Let n = 13 - 7. Suppose 4*z - 6*z + n = 0. Suppose -a = z*a - 608. What is the highest common divisor of 19 and a? 19 Suppose 3*s - 10 = 2. Let g(u) = -2*u + 47. Let l be g(22). Suppose 63 = 3*q - l*h, -20 = s*h - 0*h. Calculate the greatest common divisor of 176 and q. 16 Let q(s) = 4*s + 21. Let g be q(-6). Let p be (-15)/(-120) + 335/8 + g. Calculate the greatest common factor of p and 26. 13 Suppose 3700 + 248 = 12*x. What is the greatest common divisor of x and 47? 47 Suppose -86*f + 2976 = -55*f. Calculate the greatest common factor of 48 and f. 48 Suppose -a = 5*v - 90, -3*a = a - 2*v - 360. Calculate the highest common factor of a and 252. 18 Let k be (-3 + -3)*(-3)/9. Let m(j) = 13*j**3 - 2*j. Let f be m(k). Suppose 3*s = -b + f + 48, -s + 36 = 3*b. Calculate the greatest common divisor of s and 17. 17 Let w = 101 + -46. What is the greatest common factor of 165 and w? 55 Let b(l) = l**2 + 7*l - 18. Let x be b(-9). Suppose x = 5*o - 357 - 693. What is the greatest common divisor of o and 84? 42 Suppose 94 = 4*w - 5*a, -a + 5*a = 3*w - 71. What is the greatest common factor of 28 and w? 7 Suppose 4*y + 3*b + b = 292, 4*b + 140 = 2*y. Suppose -a + y = 4*w + 11, w = -2*a + 150. Calculate the highest common factor of a and 11. 11 Suppose -2*b + 2*p + 200 = 0, -5*p + 18 = 23. Calculate the highest common factor of 72 and b. 9 Let g(v) = 6*v - 63. Let f be g(26). Calculate the highest common factor of 155 and f. 31 Let u(z) = z**3 - 3*z + 3. Let h be u(2). Suppose -b + 69 = -h*q + 9, -324 = -5*b + q. What is the highest common factor of b and 13? 13 Let z be ((-1)/(-3))/((-3)/45). Let u = z + 2. Let s be 3 - 6/(u - -1). Calculate the highest common divisor of 6 and s. 6 Let a = 44 + -12. Let b = a - -28. Calculate the greatest common divisor of b and 15. 15 Let u = 59 + -33. Suppose 5*l + 520 = 4*d, 4*l - 476 = -4*d + 44. Calculate the greatest common factor of u and d. 26 Let l(q) = q - 7. Let i(f) = 2*f - 8. Let j(o) = 5*i(o) - 6*l(o). Let t be j(4). Let b = -10 + t. Calculate the highest common factor of b and 64. 8 Let i be (1 - 4) + 33/3. Suppose -4*c - 39 = -q, 3*q - 3*c + i*c = 32. What is the greatest common factor of 133 and q? 19 Suppose 6*l + 15 = 5*l + 5*y, 4*l + 155 = y. Let x = l + 50. Calculate the highest common divisor of 4 and x. 2 Let t be -4 + (-1 + -9)/(-5) - -4. Suppose -7*w + 2*w + t*u = -58, w + 3*u + 2 = 0. Calculate the greatest common factor of w and 20. 10 Suppose 13*c = 31*c - 90. What is the greatest common factor of 5 and c? 5 Let a be 5*-21*(-2)/30. Let s = a + -7. Suppose -c + 4*r - 256 = -4*c, -c - 5*r + 100 = s. Calculate the highest common divisor of c and 40. 40 Let g = -69 - -108. Suppose 5*r + 4*h - 12 - 6 = 0, 4*r - 5*h - g = 0. What is the greatest common divisor of r and 12? 6 Suppose 9*y - 7*y = 22. Let a(f) = -7*f + 6. Suppose -3*s + 3*t - 40 = s, 0 = 5*s + 3*t + 23. Let m be a(s). What is the highest common divisor of m and y? 11 Suppose -2*f - 14 = 2*q - 18, -5*q = 2*f + 11. Calculate the highest common factor of 77 and f. 7 Let j(w) = -w**3 + 9*w**2 + 11*w - 10. Let a be j(10). Suppose r + 5*i - 35 + 10 = a, -5*i = -3*r - 5. Calculate the greatest common factor of 40 and r. 5 Let x(s) = 9 + s**3 - 13 + 6*s**2 + 3 + 5*s. Let n be x(-4). Calculate the greatest common factor of 55 and n. 11 Suppose r + 150 = 6*r. Suppose 0 = 2*n - 7*n + r. Let c(f) = f**2 - 2*f - 1. Let z be c(3). Calculate the highest common factor of n and z. 2 Suppose 49*y - 21*y = 700. Calculate the greatest common factor of y and 1025. 25 Suppose 1 = 2*j - 51. Let n be 152/j + 6/39. Let k = -40 + 58. What is the greatest common divisor of k and n? 6 Let h = -144 + 152. Calculate the highest common factor of 1232 and h. 8 Suppose -9*m - 40 = -10*m. Let y be -244*(-5)/m + (-2)/4. Suppose 0 = -4*u + o + 29, 5*u + 3*o + 6 - 21 = 0. What is the greatest common factor of y and u? 6 Let l(r) = -10*r - 12. Let f = -28 + 22. Let q be l(f). Calculate
{ "pile_set_name": "DM Mathematics" }
v**3 + x*v + z*v**2 + k and give x. 14 Express (232 + 75 - 141 + 296)*(-3*n - 2*n - 5*n) in the form l*n + h and give h. 0 Rearrange 103*p**2 - 130*p**2 + 427*p**2 + 201*p**2 to the form x + v*p + a*p**2 and give a. 601 Express 434*z**3 - 600*z**2 - 143*z**3 - 137*z**3 - 153*z**3 in the form u*z + x + s*z**3 + f*z**2 and give u. 0 Express (-1 + 4 - 2)*(51 - 18 + 25)*(0*s + 0*s - s**2) as z*s**2 + r*s + o and give z. -58 Rearrange (-2 + 2 - j**2)*(1127*j + 2290*j - 373 - 374 + 747) to y*j**3 + p*j**2 + n*j + u and give y. -3417 Express 4*y - 18*y**4 + 2 + y**3 + 2*y + 19*y**4 + 0 in the form p*y + u + t*y**2 + n*y**4 + i*y**3 and give p. 6 Rearrange -1 - 73*h + 1 + 225*h + 73*h to the form c + j*h and give j. 225 Express -16*k**4 - 10 + 3*k**3 - 5*k**3 + 12*k**4 + 5*k**3 - 1 + k**2 as l*k**4 + n*k**3 + b*k**2 + r + g*k and give b. 1 Rearrange 0*n**3 + 1111 - 1107 - 3*n - 5*n**3 to the form i*n + g + r*n**3 + s*n**2 and give i. -3 Rearrange (39 - 39 - 15*s**2)*(-2*s - 1 + 1)*(-4*s + 4*s + 12*s) to i*s**3 + p*s**2 + c*s + w*s**4 + v and give c. 0 Rearrange -31*z**3 + 2*z**4 + z**4 + z + 4921*z**2 - 4921*z**2 to the form b*z**2 + x*z**3 + l + i*z + a*z**4 and give x. -31 Rearrange (-4*v - 6 + 6)*(-184*v + 58*v - 72*v) to h*v + d + t*v**2 and give t. 792 Express 1 - 1 + 1541*i**2 - 754*i**2 in the form o*i + p*i**2 + n and give p. 787 Rearrange -26 - 23 - 28 + 78 - 11*j**2 + 41*j**2 to the form k*j**2 + t*j + h and give h. 1 Rearrange 23 - 32 + 148*t + 9 to the form f + z*t and give z. 148 Rearrange (99*v - 82*v + 78*v)*(-1 - 2*v**2 - 2*v**2 + 3*v**2 - 3*v**3) to w*v**3 + f*v**4 + z*v**2 + s*v + k and give f. -285 Rearrange -151*t**2 + 74*t**2 + 78*t**2 + 22*t**3 + 2*t + 4 - 3*t - 32*t**3 to v*t + m*t**2 + p + c*t**3 and give v. -1 Rearrange c**2 + c**2 + c**2 + (-11*c + 4*c - 4*c)*(23 - 23 + 12*c) to the form b + q*c + j*c**2 and give j. -129 Rearrange -q**2 - 3*q + q - 6*q + 7 + 19 + 0*q to the form g + c*q + o*q**2 and give g. 26 Rearrange (-y - 3 + 3)*(-2*y**2 + 0*y + 0*y) + 27*y**3 - 981 + 981 - 219*y**2 + 16*y - 2*y**3 + 219*y**2 to the form c*y**3 + q + h*y + z*y**2 and give q. 0 Express 1 + 4*a**2 - 4*a**2 + 2*a + 3*a**3 as l*a + y + s*a**3 + k*a**2 and give l. 2 Express (5 - 5 + 2*k)*(153 - 328 + 67) + (0 - 1 - 1)*(0*k + 2*k + 0*k) in the form t*k + m and give t. -220 Rearrange 8*t**2 - 6*t**2 - 8*t**3 - 52*t**3 + (-5*t**2 - t**2 + 2*t**2)*(3*t - t + 0*t) to the form m*t**2 + s*t + n + r*t**3 and give s. 0 Express -1461*b**3 + 33*b + 1 - 143*b + 32*b + 34*b + 43*b in the form g*b**3 + z*b**2 + m*b + t and give g. -1461 Rearrange (-1 + 3 - 4)*(-4*m + 0*m + 2*m)*(55*m + 87*m + 120*m) - m + 4*m - 2*m**2 - 2 - m to the form z + o*m + k*m**2 and give k. 1046 Express (0 + 5 - 3)*(b - 1 + 1) + 1 - b - 1 + 6*b + 6*b - 8*b in the form l*b + f and give l. 5 Rearrange (-4*j + 4*j - 3*j**2)*(30108 - 30108 + 2*j - 279*j**2) to the form v + p*j + t*j**4 + g*j**3 + i*j**2 and give g. -6 Rearrange 13161*u**2 - u**3 + 5 - 13159*u**2 - 1 - u to the form b*u**3 + w*u**2 + y + p*u and give b. -1 Rearrange (259*q - 259*q + 12*q**3)*(2*q + 4 - 4 + (2 - 1 + 0)*(-3 + 3 - q) - 2*q + q + 4*q + 2) to u*q**3 + s + n*q**2 + b*q + i*q**4 and give u. 24 Express 4*u**2 - 7*u**2 - 1 + 5*u + 7*u**2 - 13*u in the form z + v*u**2 + k*u and give v. 4 Express c**3 - 306*c + 308*c - 64*c**2 - 100*c**2 in the form w*c + q*c**3 + j + x*c**2 and give q. 1 Rearrange b**2 - 5*b**2 - 4*b**2 + 11*b**2 - 8*b to the form n*b + s*b**2 + y and give n. -8 Rearrange (-4 + 3 + 0)*(44*g - 2028*g**3 + 58*g + 2029*g**3)*(-3 + 2 + 2) to i*g**2 + d + w*g + x*g**3 and give x. -1 Express (-22 - 39 + 14)*(w**2 + 0 + 0 + (4 - 1 - 1)*(-w**2 + 4 - 4)) as d*w**2 + a + k*w and give d. 47 Rearrange -c**3 - c - 2*c**2 - 8 + 3*c + 2*c**3 - 2 - 5*c**4 to the form v*c**3 + q*c + s*c**4 + l*c**2 + b and give l. -2 Express -4*w**4 - 5*w**3 + 5*w**3 + (4*w**2 - 2*w**2 + 0*w**2)*(8*w**2 + 4*w**2 - 3*w**2) - w**2 + w**2 + w**4 as s*w**3 + q + g*w**2 + i*w**4 + m*w and give i. 15 Rearrange (6*w + 4 - 4)*(-16 + 16 + 9*w**2) - 3*w**3 - w**3 + 6*w**3 to l*w**2 + t + r*w + m*w**3 and give m. 56 Rearrange 33*d**4 - 35*d**4 - 8 - 7*d**2 - 1 + d**3 to the form m*d**4 + g*d + w + r*d**2 + l*d**3 and give r. -7 Express (-10*u - 44*u - 134*u)*(3 - 6 + 2)*(3 - 5 - 8) - 7*u + 2*u + 3*u + u - 3*u + u + (4 - 2 - 1)*(u - 3*u + 0*u) + 1 - u - 1 as g*u + f and give g. -1886 Rearrange -37 - t**3 + 73 + 2*t - 39 - 2*t**2 - 4*t**3 + 2*t**3 to w*t**2 + o*t + n + y*t**3 and give n. -3 Express (-4*a + 7*a + 0*a)*(-2*a**2 + 0*a**2 + a**2)*(a + 8*a - 2*a) as m*a**2 + z*a**4 + q + f*a**3 + i*a and give z. -21 Rearrange (-8*c**3 + 0*c**3 + 10*c**3)*(-2 + 3 + 11)*(-9*c - 14*c + 25*c + 1) to the form r*c + y*c**4 + v*c**2 + g + h*c**3 and give h. 24 Express (-193*z + 193*z + 249*z**2)*(2*z**2 - 5*z**2 + z**2) as a*z + d*z**2 + q*z**3 + x*z**4 + n and give x. -498 Express -724*n + 673*n + 405*n as l + i*n and give i. 354 Rearrange (-4*h - 3*h - 3*h)*(11 - 3*h - 1 + 3) to p*h**2 + r*h + i and give r. -130 Rearrange -9 - 2 - 4 - 3*y - y**3 - y**2 + 14 to d + l*y + k*y**3 + c*y**2 and give l. -3 Express 19 + x + 24 + 26 - 51 as d + b*x and give b. 1 Rearrange (n - 7*n - 2*n)*(1 - 1 + 2*n**2) + 0*n**3 + 2*n**3 - n**3 - 2*n**3 + n**3 + 5*n**3 to the form d*n + j*n**2 + w + p*n**3 and give p. -11 Express 2*g + 209315 - 209321 - 2*g**3 - g**3 - 3*g**2 + (-g - g + g)*(-g**2 + 4*g**2 - 5*g**2) in the form m*g**3 + p*g**2 + z + b*g and give p. -3 Rearrange (2 - 4 - 1)*(-2681 + 2681 - 387*j) to the form b*j + t and give b. 1161 Rearrange 2 - 863*p - 46*p - 2 to b + t*p and give t. -909 Rearrange 13*r - 13*r**3 + 16*r**3 + 247 - 242 to the form m + f*r**3 + j*r + h*r**2 and give m. 5 Express 15*h**2 - 44*h**2 - 53 + 30*h**2 + 3*h as x*h**2 + z + d*h and give d. 3 Express (1 + w - 1)*((-13 - 12 + 17 + (-2 + 1 - 1)*(3 - 3 + 2))*(16 - 8 + 17)*(-3*w + 0*w + 5*w) + 4 - 2*w - 4) as q + z*w**2 + c*w and give z. -602 Express 428*u**2 - 3*u + 450*u**2 - 849*u**2 + 2 as m + f*u**2 + b*u and give f. 29 Express 2*i + 0*i**3 - 2*i**3 + 254 - 253 + 9*i**4 as r*i + t + y*i**2 + x*i**4 + l*i**3 and give t. 1 Rearrange 44*l + 51*l**2 + 48*l**2 - 44*l to o*l**2 + z*l + k and give o. 99 Rearrange -2*t - 7*t**2 - 3*t + 4*t - 5*t**2 - 16*t**2 - 8 to j + i*t + q*t**2 and give i. -1 Express -6 - 28 - 266*c**3 + 252*c**3 + 1 in the form s*c**3 + n*c + z + d*c**2 and give z. -33 Express -155*r + 253 - 253 - 159*r in the form c*r + a and give c. -314 Express (119 + 38 + 22)*(-6*o + 4*o + 3*o)*(4*o - 4*o - 2*o) in the form a*o**2 + s + n*o and give a. -358 Express -55*c - 41*c - 33 + 94*c in the form q + z*c and give q. -33 Express 39*l**3 - 2*l - 42*l**3 - 34*l**4 - 1 + 33*l**4 in the form y*l**3 + q + c*l + i*l**4 + v*l**2 and give q. -1 Express 46*d + 9*d - 29 + 19 + 21*d in the form v + c*d and give v. -10 Rearrange -100 + 92 + 3*r + r to v*r + x and give x. -8 Express 52*r**3 + 2 - 3*r**2 - 29*r**3 - 17*r**3 in the form f + z*r**3 + l*r**2 + v*r and give z. 6 Express 8*v + 19*v + 14 - 26*v as y*v + t and give t. 14 Express 4*z + 3*z - 3*z + (-2*z + 0*z + 0*z)*(1 + 1 - 4) - 2 + z + 2 + 0 + 0 - z + 837 + 49*z - 837 as c*z + t and give c. 57 Rearrange (-4*g + 3*g + 5*g)*(4*g**2 + 0*g**2 - 5*g**2) + (6*g**2 - 4*g**2 - g**2)*(-64776 + 64776 + 174*g) to the form j*g**3 + h*g + k + x*g**2 and give j. 170 Rearrange -56*g + 106*g + 31 - 48*g to r*g + q and give q. 31 Express (3 - 5 + 1)*(r - 6*r + 3*r) + 1 - 1 + 2*r - 21*r - 16*r - 4*r - 3*r in the form l*r + w and give l. -40 Rearrange 6*w - 5*w - 2 + 0*w + 4*w + 0*w - 2*w - 2*w + 4*w + 2*w + (-4*w + w + w)*(-1 + 1 - 2) - 2*w + 2*w + 2*w to the form l + s*w and give l. -2 Express -10*l - 30913 + l**2 + 30913 in the form t*l + v + k*l**2 and give k. 1 Rearrange -2*t + t + 0*t - 3*t - t + 3*t + (-2 - 4 + 1)*(3*t - 5*t + 0*t) + t + 0*t + t + 1 to the form x + h*t and give x. 1 Express 0 + 2 - 4 + 17*i**2 - 6*i**2 + 3*i as m + y*i**2 + t*i and give m. -2 Express -m + 3*m**2 + 188 - 188 - m**2 - 17*m as s*m + f*m**2 + q and give f. 2 Rearrange (1058 - 1058 - 26*l**2 + l)*(l**2 + 2*l**2 + l**2) to the form m*l + c*l**3 + q + t*l**4 + k*l**2 and give c. 4 Express -359 - 18 - 77 + 2*n + 27 - 3*n in the form l*n + j and give j. -427 Expres
{ "pile_set_name": "DM Mathematics" }
**3 - 2*z**4 + (8*z**2 - 5*z**2 - 10*z**2)*(14*z + 3 - 2*z**2 - 13*z + 4*z**2). -16*z**4 - 7*z**3 - 21*z**2 Expand (6 - 3 - 1)*(2*p**2 - 2*p**2 + 2*p**3) + 10*p - 10*p - 19*p**3. -15*p**3 Expand ((-1 + 4 - 5)*(4 - 1 - 4) + 2 - 2 - 2 + 2 - 5 + 1)*(-22474 - 89*n + 22474). 178*n Expand -3*j + 2*j**4 + 3*j + (j**2 - 4*j**2 + 2*j**2)*(3*j**2 - j**2 - 3*j**2) + j**4 + 2*j**4 - 5*j**4 + (j + 2*j - j)*(-2*j**3 + 0*j**3 + 0*j**3). -3*j**4 Expand ((1 - 6 + 1)*(2*l - 2 + 2) - 15*l + 8*l - 12*l)*(0*l - l + 3*l). -54*l**2 Expand (-5*z**2 + 6*z**2 - 15*z**2)*(-43*z + 43*z - 4*z**2 + 1 + (2 - 2 - 2*z)*(-3*z + 4*z + z)). 112*z**4 - 14*z**2 Expand -18*y**4 - 33*y**3 + 33*y**3 + (-6*y + 6*y - y**3)*(y + 4*y - y). -22*y**4 Expand (645*z - 91*z**3 - 645*z)*(-z + z - z**2). 91*z**5 Expand (0 - 1 + 0)*((0*a - 2*a - a)*(7 + 10 - 3) + 0 + 2*a + 0). 40*a Expand 31*s - 6*s**2 + 4*s**2 - 6*s + (s - s + s)*(s + 5*s - 4*s) + 1 - s**2 - 1. -s**2 + 25*s Expand (19994 - 269*t - 19994)*(4 - 2 - 1). -269*t Expand (3 - 3 + 2)*(4 + 0 - 2)*(-9*f + 7*f - 5*f)*(5*f - 4*f - 4*f). 84*f**2 Expand -1 + 1 - u**2 + (2*u - u - 2*u)*(u + 0*u - 3*u) - u**2 - 2*u**2 + 2*u**2 + 339*u**2 - 418*u**2 + 313*u**2. 234*u**2 Expand -r**2 + 2*r**2 - 7*r**2 + (0 - 3*r**2 + 0)*(0 + 0 - 3 + (-1 + 3 + 0)*(5 + 0 - 3) + 5 - 3 - 3 - 1 + 0 + 2 + 2 + 4 - 5). -12*r**2 Expand ((0 - 1 - 2)*(-131 - 42*o + 131) + (4*o - 2*o - o)*(2 - 2 - 2))*(3*o + 0*o - 5*o). -248*o**2 Expand (4 - 1 - 1 + (-3 - 2 + 6)*(4 - 5 + 2))*(6*g**3 + 7*g**3 + 2 + 26*g**3) + (4*g**2 + 2*g**2 - 3*g**2)*(-3*g + 6*g - 2*g). 120*g**3 + 6 Expand (n - 3*n + 6*n)*(-11*n + 3*n + 4*n) - 2*n**2 + 2*n**2 + 3*n**2. -13*n**2 Expand (-195 - 172*y + 195)*(5*y**3 - y**3 - 2*y**3). -344*y**4 Expand 5*o + o - 4*o + (2 - 1 - 4)*(3*o + 3*o - 4*o) + 6*o - o - 4*o + 5*o - 3*o - 3*o - 2 - 3 + 5*o + 6. o + 1 Expand (4*i - 6*i + 4*i)*(2 - 26 - 7)*(6 - 4 - 3)*(-2*i + 4 - 4)*((-2 + 3 + 1)*(0 - 2 + 1) + 0 - 5 + 3 + 2 + 1 - 1 + 3 - 1 - 4 + 4 - 6 + 0). 744*i**2 Expand (0*k - 2*k**2 + 0*k)*(-3 - k**2 + 3) + (-125 - 69*k**2 + 59 - k + 67)*(-7*k**2 + 3*k**2 + 3*k**2). 71*k**4 + k**3 - k**2 Expand (5 + 1 + 0)*(-2*o**3 + 2*o**3 + 28*o**4 + 6*o**4). 204*o**4 Expand (-39 - 30 - 8)*(-u + 0*u + 0*u)*(-3 + 2 - 1) + 3*u - 3*u + u. -153*u Expand (-w - w + w)*(3 - 2 - 2 + (-4 - 2 + 4)*(1 - 1 + 2) + 0 + 1 - 3 + 0 + 5 - 2)*(3 - 3 + 3*w**2). 12*w**3 Expand (2 + 0 + 2*c - 1)*(-1166*c + 38*c**2 + 1166*c). 76*c**3 + 38*c**2 Expand (156 - 409 + 175)*(4*x - 41 + 41). -312*x Expand (-2*j**2 + 982*j**3 - 952*j**3 + j**2)*(-3*j + j + 5*j) - 3*j**4 - 4*j**4 + 5*j**4. 88*j**4 - 3*j**3 Expand (41*n**2 + 2 + 129*n**2 + 45*n**2)*(n**2 - 3*n**2 + 3*n**2 + (0*n**2 - 2*n**2 + n**2)*(4 - 2 + 0)). -215*n**4 - 2*n**2 Expand (-2*g - g + 4*g)*((-3*g**2 + 9*g**2 + 3*g**2)*(-3 + 0 + 2) + g**2 - 3*g**2 + g**2 + (0*g - 4*g + 3*g)*(0*g + 0*g - g) + 5*g - 3*g**2 - 5*g). -12*g**3 Expand (4 + 2 - 4)*(32 + 11*o - 32)*(2*o + 0*o - o). 22*o**2 Expand -2*x**5 + 0*x**5 + 8*x**5 + (2*x**3 + 2*x**3 - x**3)*(x**2 - x**2 + x**2). 9*x**5 Expand (c - c**3 - c)*(3*c - 5*c - c)*(-2 + 3 - 2 + 3 - 1 + 0 + (4 - 1 - 2)*(4 - 2 - 1) + 3 + 0 + 0). 15*c**4 Expand (7*y**3 + 10*y**4 - 7*y**3 + 1)*(8*y - 49*y - 14*y). -550*y**5 - 55*y Expand (0*b - 4*b + 5*b)*(4*b**2 + 4*b**2 - 4 - 5*b**2)*(5*b**2 - 10*b + 10*b) - 3 + 3 + 2*b**5. 17*b**5 - 20*b**3 Expand (-6*b - 6*b + 3*b)*(-1 + 1 - 2*b**2)*(0 + 3 + 4)*(-5 + 5 - 2*b). -252*b**4 Expand (5*o - 4*o + 0*o)*(-38 + 38 - 66*o) + 15*o**2 - 9*o**2 - 4*o + 2*o. -60*o**2 - 2*o Expand (-3*p**4 - 3*p + 3*p)*(1 - 2 + 0 + (6 - 4 + 5)*(0 + 1 + 0)). -18*p**4 Expand -2 - j**4 + 2 + (4 - 3 + 0)*(-5*j**2 + 2*j**4 + 5*j**2) + (-8*j**2 + 0*j**2 + 3*j**2)*(-2*j**2 + 0*j + 0*j). 11*j**4 Expand ((f**2 - 4*f + 4*f)*(4*f**3 - 2*f**3 + 0*f**3) - f**5 + 13*f**5 - 8*f**5 - 2*f)*(10 + 15 - 7). 108*f**5 - 36*f Expand (18*w - 25*w - 37*w)*(2 - 1 + 2). -132*w Expand 12 + 47*w - 25 + 10 + 2*w - w - 2*w + (-3*w + 3*w - w)*(0 + 0 + 2). 44*w - 3 Expand (-2 + 5 - 4)*(0*j - j - 5*j) + (0 - 6 + 5)*(-3 + 3 - 3*j). 9*j Expand (-3*z - z - 3*z)*(-2 + 1 - 2)*(z + 0 + 0). 21*z**2 Expand (22*n - 13 + 13 + (1 - 4 + 1)*(-3*n + n + n) - n - 1 + 1)*(-3*n**2 + 3*n**2 - 4*n**4). -92*n**5 Expand (3*u - u + 0*u)*(-6 - 1 - 2)*(0*u + 0*u + u)*((1 - 3*u - 1)*(-6 + 7 + 1) - 3*u - 2*u + 3*u). 144*u**3 Expand 99*k**2 - 4593*k + 4593*k + (2*k - 2 + 2)*(2*k + k - 4*k). 97*k**2 Expand 3*j**2 - 4*j**2 - j**2 + (2 - 2 + 2*j)*(-2*j + j - j) - j**2 + 3*j**2 - 3*j**2 + 0*j**2 + 0*j**2 + 2*j**2. -5*j**2 Expand (-3*f + 3*f - f**3)*(1 - 2*f - 1) + 4*f**4 - 4*f**4 + 2*f**4 + (f**3 + 2*f**3 - f**3)*(-5 + 2*f + 5) + (3*f**4 - 6*f**4 + 0*f**4)*(-6 + 3 + 2). 11*f**4 Expand 4*z**3 - 3*z**3 - 2*z**3 + (0*z**2 + z**2 + 0*z**2)*(2*z - 2 + 2) + 321*z - 342*z + 8*z**3 - 18*z**2 + 16*z**2. 9*z**3 - 2*z**2 - 21*z Expand (5*p + 0*p + 4*p)*(0 + 8 + 0)*(-3 + 5 - 3). -72*p Expand 4*y**3 - 4*y**3 - y**4 + (280 - 280 + 32*y**2)*(y**2 - y**2 - 2*y**2) + 5*y**4 - 4*y**4 + 3*y**4. -61*y**4 Expand 3*r**2 - 3*r**2 + 9*r**4 + (-2*r - r + 0*r)*(4*r**3 - 5*r**3 + 3*r**3) + 8*r**4 + 0*r**4 + r**4. 12*r**4 Expand (0 - 3 + 2)*(271*m - 28 + 15 + 5 + 10). -271*m - 2 Expand (-5*m**2 - m**3 + 5*m**2)*(-4*m - m + 3*m) - 11925 + 11925 - 3*m**4 + 6*m. -m**4 + 6*m Expand 2*h**5 - h**5 - 3*h**5 + (5*h**2 - 4*h**2 + h**2)*((25 - 27*h**3 - 25)*(0 - 2 + 3) - 4*h**3 + h**3 + 0*h**3 + 0*h**3 + 4*h**3 - 3*h**3). -60*h**5 Expand (0 - 3*y**2 + 5*y**2 + 1)*(32*y - 78*y - 33*y). -158*y**3 - 79*y Expand (53*c + 53*c + 28 - 104*c)*(-3 + 5 - 3). -2*c - 28 Expand (5 - m - 5)*(-4 + 2 + 4) + (-1 + 1 - 1 + (4 - 2 + 0)*(2 + 1 - 1) + 2 - 2 + 1 + 25 - 17 - 21)*(0 + 0 + 2*m). -20*m Expand (-u - 2 + 2)*(0 + 2 + 1) + (1 + 1 + 0)*(6*u - 10 + 10) - 3*u + 2*u - 3*u. 5*u Expand (-9*r**2 + 15 - 15)*((-6*r - r + 6*r)*(1 - 4 + 1) + 7*r - 4*r - r). -36*r**3 Expand (-1 + 2*l**3 + 1)*(2*l**2 + l**2 - 2*l**2) + 1016*l**5 + 1087*l**5 - 2060*l**5. 45*l**5 Expand (-s + 2*s + 0*s)*((3 - 3*s - 3)*(2 - 4 + 5)*(-2 - s + 2) + (-2 + 1 + 0)*(5*s**2 - 5*s**2 - s**2)). 10*s**3 Expand -4*i**5 - i**5 + 3*i**5 + (-3*i**3 - 4*i**3 - 2*i**3)*(-3*i**2 + 2*i**2 + 3*i**2) + i**5 - 2*i**2 + 2*i**2. -19*i**5 Expand (-6*n + 16*n**2 - 1 + 4*n + 0*n)*(-2*n + 15*n - 29*n). -256*n**3 + 32*n**2 + 16*n Expand -g**2 + 6*g**2 - 3*g**2 + (g + 0*g + 2*g)*(-1 + 2*g + 1) + (-1 - 1 - 1)*(g - g - g**2) + 4*g**2 - 8*g + 8*g. 15*g**2 Expand 14*x**2 + 36*x**2 + 85*x**2 + (-1 + 3 - 1)*(-1 + 1 + x**2) + 1 - 1 - 2*x**2. 134*x**2 Expand (-29*f + f**2 + 29*f)*(0 + 0 + 3)*(15*f**2 + 637 - 637). 45*f**4 Expand (-17 + 48 - 23)*(2*u + 0*u - 4*u). -16*u Expand (-p + 4 - 4)*(2 - 6 + 3) - 496*p + 376255 - 376255. -495*p Expand (0 + 0 - 2*n)*(-250*n + 60813 - 60813). 500*n**2 Expand (4*n**2 + 6*n**2 + 2*n**2)*(-3*n + 3*n + n)*(-22*n + 12*n + 5*n). -60*n**4 Expand (a - 2*a + 3*a)*(-1 - a**2 + 1) - 6*a**3 + 2*a**3 + 9*a**3 + (-a**3 + 2*a**3 + a**3)*(1 - 1 + 1) - 11*a**3 - 3*a**3 + 3*a**3. -6*a**3 Expand 4*d - d - 5*d + (4 + 3 - 6)*(4 - 4 - 3*d) - 24*d + 34*d + 18*d. 23*d Expand m**3 - 5*m**3 + 0*m**3 + (3*m**3 - m**3 + 162 - 163)*(6 - 3 + 1). 4*m**3 - 4 Expand (2*r**4 + 2*r**4 - 5*r**4)*(-2 + 2 - 2*r) + 3*r**5 - 2*r**5 - 11*r**2 - 2*r**5 + (0*r**5 - 2*r**5 + 3*r**5)*(-5 + 5 - 2). -r**5 - 11*r**2 Expand (6*w - 3*w**2 - 6*w)*(-5*w**2 + 0*w**2 - w**2) + 16 - 2*w**3 - 16 + 3*w**4. 21*w**4 - 2*w**3 Expand (-p**2 + 0*p + 0*p)*(p - p + 2*p) - 38*p**3 - 31*p + 31*p + (-3*p - 2*p + 4*p)*(-p**2 + 1 - 1) - 3*p**3 + p**3 + 0*p**3 + 2*p**3 - 3 + 3. -39*p**3 Expand (3*c + 2*c + 2*c)*(-557*c + 10*c**4 + 557*c + 2*c**2 + 2*c**4 - 2*c**2 + (-2*c**3 + 0*c**3 + c**3)*(-2*c + 2*c - c)). 91*c**5 Expand (20 + 23 + 8 - 2 + 2 + 1 + 2 - 3 + 2 + (3 + 3 - 5)*(4 - 2 - 4) - 4 - 1 + 3 + 5 + 2 - 3)*(y - y + y)*(-2*y + 5 - 5). -106*y**2 Expand (f**3 - 3*f**3 + f**3)*(2*f**2 + 2*f**2 - 3*f**2) + 4 - 32*f**2 - 2*f**5 + 32*f**2. -3*f**5 + 4 Expand (-x - 3*x + 2*x)*(-33*x + 232 - 232 + (0 + 0 + x)*(-1 + 3 - 4) - 3 + 3 - 2*x). 74*x**2 Expand (-c + 0*c - c)*(0 + 0 - 3*c**3)*(10*c - c + 4*c) + 2*c**5 + 88 - 88 - 2*c. 80*c**5 - 2*c Expand (-34 - 12 + 7)*(8*z**4 - 3*z**4 + 0*z**4). -195*z**4 Expand (0*t + 2*t - t)*((0 - 3 + 1)*(18*t + 119*t - 59*t) + 0*t - t + 0*t + (4 + 1 - 3)*(-t + 0 + 0) + 0*t + 0*t + 2*t). -157*t**2
{ "pile_set_name": "DM Mathematics" }
- 32 - w - 18 + 0 + 57*w**2. 51*w**2 - w - 50 Collect the terms in 17554 + 17803 - 35357 + 3*x**3. 3*x**3 Collect the terms in -1 - 25757*d + 5 - 5 + 25749*d. -8*d - 1 Collect the terms in 5 - 25813760*q**2 - 5. -25813760*q**2 Collect the terms in -596*w**3 - 241*w**3 - 1700*w**3 - 3508*w**3. -6045*w**3 Collect the terms in 84478*p**3 + 84471*p**3 - 3 + 84474*p**3 + 3 - 337899*p**3 + 84479*p**3. 3*p**3 Collect the terms in 168*c + 3*c - 182*c + 2688*c + 1038*c + 2597*c. 6312*c Collect the terms in -27*m + 3889*m**2 - 3227*m**2 + 27*m. 662*m**2 Collect the terms in -17388*b**3 + 8831*b**3 + 1 + 9262*b**3. 705*b**3 + 1 Collect the terms in 13*x**3 + 3956049*x**2 + 3955863*x**2 - 7911912*x**2. 13*x**3 Collect the terms in 27595*h**2 + 18828*h**2 - 33122*h**2. 13301*h**2 Collect the terms in 2*c + 11320*c**2 - 2*c**3 + 19071 - 19071. -2*c**3 + 11320*c**2 + 2*c Collect the terms in 5921800 - 2*q + q + 5921738 - 11843538. -q Collect the terms in -3*w**3 - 22527970*w**2 + 22527970*w**2 + 1270 - 124*w**3 - 40*w**3 - 1270. -167*w**3 Collect the terms in 9616*n**3 + 9741*n**3 - 37532*n**3 + 9291*n**3 + 9538*n**3. 654*n**3 Collect the terms in 21024124 - 21024124 + 32853*q. 32853*q Collect the terms in 99*y - 24 - 3636*y**2 - 61*y**3 - 99*y + 3636*y**2. -61*y**3 - 24 Collect the terms in -10*a + 20789336 - 20789336. -10*a Collect the terms in 39960*p**2 + 18*p**3 - 79893*p**2 + 39933*p**2. 18*p**3 Collect the terms in 263113 - 263113 - 592*w. -592*w Collect the terms in 197 - 597 - 132*a**2 + 199 - 1357*a**2 + 201. -1489*a**2 Collect the terms in -4499 - 4499 + 8998 - 17011*n**2. -17011*n**2 Collect the terms in 493617*n**3 + 495378*n**3 - 991863*n**3. -2868*n**3 Collect the terms in -1824 - 32048 - 2*t - 3271. -2*t - 37143 Collect the terms in -101*x - 182*x - 94*x - 95*x + 568*x - 103*x. -7*x Collect the terms in 16762046664 - 16762046664 - 45*v**2. -45*v**2 Collect the terms in -192*c**3 - 54*c + 95*c**3 + 2*c**2 + 95*c**3 - 137*c - 93*c. -2*c**3 + 2*c**2 - 284*c Collect the terms in 1 - 17*a + 1157*a**2 + 10 - 7*a - 251*a**2. 906*a**2 - 24*a + 11 Collect the terms in 734*t**3 - 658*t**3 - 408*t**3. -332*t**3 Collect the terms in 162 - 246 - 152*l**3 + 173*l**3 - 574. 21*l**3 - 658 Collect the terms in 1654*g**2 - 33 + 96 - 3303*g**2 + 1650*g**2 + 90 + 59. g**2 + 212 Collect the terms in 260*x**2 - 11 + x + 151*x**2 - 1853*x**2 + x + 2. -1442*x**2 + 2*x - 9 Collect the terms in -41*l**3 + 4*l + 0*l**3 - 5*l + 33*l**3. -8*l**3 - l Collect the terms in -32 + 32 + 15232860305*c**2 - 15232860318*c**2. -13*c**2 Collect the terms in 5846*i - 29 - 19 - 14 - 25 - 2. 5846*i - 89 Collect the terms in 2963262914 - 2963262914 + 5*b**2. 5*b**2 Collect the terms in 64355*u**2 + 64375*u**2 - 128649*u**2. 81*u**2 Collect the terms in -63*r**2 - 60*r**2 - 121*r**2 + 436*r**2 - 66*r**2 - 68*r**2 - 60*r**2. -2*r**2 Collect the terms in -25*j + 219 - 179 - 12*j - 41. -37*j - 1 Collect the terms in 105*g**2 + 293*g**2 - 62*g**2 - 91*g**2 - 98*g**2 - 100*g**2. 47*g**2 Collect the terms in -1836*r - 27 + 12 - 229*r + 15. -2065*r Collect the terms in -1327 + 324 + 11*f + 321 + 361 + 321. 11*f Collect the terms in -60*j + 15*j + 21*j - 3*j + 23*j - 835. -4*j - 835 Collect the terms in 14*y**2 - 321098*y - 321015*y + 642113*y. 14*y**2 Collect the terms in 215722*r**3 + 1 + 2 - 431466*r**3 - 3 + 215730*r**3. -14*r**3 Collect the terms in -673499944 + 673499939 - 25*h - 7*h. -32*h - 5 Collect the terms in 97*d**2 - 190*d**2 - 46252 + 100*d**2. 7*d**2 - 46252 Collect the terms in 48372065*m - 48372065*m + 3518*m**2. 3518*m**2 Collect the terms in -1 + 4139*p**2 + 1 + 12540*p**2. 16679*p**2 Collect the terms in 21186*o**2 - 6127*o**2 + 12143*o**2. 27202*o**2 Collect the terms in -9612*x**3 - 8595*x**3 + 3023*x**3. -15184*x**3 Collect the terms in n**2 + n**2 - 2775195*n**3 - 2*n**2 + 2775133*n**3. -62*n**3 Collect the terms in 3322*a - 1108*a - 1112*a - 2 + 2 - 1112*a. -10*a Collect the terms in 508145*n - 359359*n - 8366939*n - 811011*n. -9029164*n Collect the terms in 629*m - 1555*m - 2 - 49*m**3 + 62*m**3. 13*m**3 - 926*m - 2 Collect the terms in -2335*o**2 + 878*o**2 + 581*o**2 - 7*o**3 + 876*o**2 - 7*o**3. -14*o**3 Collect the terms in -18*y + 606 - 1343 + 753. -18*y + 16 Collect the terms in -65*o**2 + 6390 + 4*o - 3202 - 3188. -65*o**2 + 4*o Collect the terms in -6 + 3 + 490*r - 1102*r - 4824*r - 3*r**3. -3*r**3 - 5436*r - 3 Collect the terms in 1891522006*m - 1891521997*m - 5*m**3 + 42*m**3. 37*m**3 + 9*m Collect the terms in 0*x**3 + 96 + 4*x**2 + 15536836*x - 15536836*x + 4*x**3. 4*x**3 + 4*x**2 + 96 Collect the terms in 5*n - 5*n - n + 2*n - 2761689. n - 2761689 Collect the terms in 1657*n - 565*n + 19*n**3 - 534*n - 558*n. 19*n**3 Collect the terms in -59 - 2880*h - 2462*h - 2457*h + 7796*h. -3*h - 59 Collect the terms in -4 - 2753*q**2 - 2741*q**2 - 2716*q**2 + 5 + 7863*q**2. -347*q**2 + 1 Collect the terms in 3406*t + 3403*t + 3379*t - 10197*t - 1. -9*t - 1 Collect the terms in 473183*l**3 - 6*l + 2*l - 473185*l**3 - 7*l + 2*l. -2*l**3 - 9*l Collect the terms in 1672 - 11916 + 4*h**2 + 11*h**2 + 8574 + 2*h**2 + 1670. 17*h**2 Collect the terms in 42585*r + 7768 - 15552 + 7784. 42585*r Collect the terms in 3 - 3 - 883841*i**2 + 884113*i**2. 272*i**2 Collect the terms in -63 + 4*d + 27 + 29 + 22 + 31 - 50. 4*d - 4 Collect the terms in 82*x - 51*x - 174 + 7. 31*x - 167 Collect the terms in 88059*d - 140 - 727511*d + 140. -639452*d Collect the terms in -13*v**2 + 581823136167*v - 581823136167*v. -13*v**2 Collect the terms in -19 + 17966*k - 5926*k - 5929*k - 6112*k. -k - 19 Collect the terms in -3*s**3 - 65*s - 61*s + 214*s + 0*s**3 - 88*s - s**3. -4*s**3 Collect the terms in 6*b + 37629 + 5*b - 37628. 11*b + 1 Collect the terms in -6*b**2 - 3838*b**3 + 3606 - 3606. -3838*b**3 - 6*b**2 Collect the terms in -248 + 248 + 5*c - 8872*c**2 - 2*c. -8872*c**2 + 3*c Collect the terms in -309 + 11*z**3 + 2*z**3 - 11*z**3 + 306. 2*z**3 - 3 Collect the terms in 3 - 3 - 196*m**2 + 97*m**2 + 148*m**2 - m. 49*m**2 - m Collect the terms in -12 - 690*m**3 - m**2 - m + 7 - 88. -690*m**3 - m**2 - m - 93 Collect the terms in -4*r**2 - 29 - 89677515*r + 44838756*r + 44838759*r. -4*r**2 - 29 Collect the terms in 95*l - 2264860*l**3 - 104*l + 2264881*l**3. 21*l**3 - 9*l Collect the terms in -63997 + 21408 + 21371 + 21218 + 6*g. 6*g Collect the terms in 3640*a - 5761*a + 2817*a. 696*a Collect the terms in -368965464*t + 737930946*t - 368965468*t. 14*t Collect the terms in 8*a**3 - 10309*a**2 + 20691*a**2 - 7*a**3 - 10382*a**2. a**3 Collect the terms in 874 + 1159 - 2005 - 17*n. -17*n + 28 Collect the terms in -3564*s**3 - 350695439*s + 350695439*s. -3564*s**3 Collect the terms in 897*t - 22405 + 22406 - 819*t. 78*t + 1 Collect the terms in 1014625*q - 2029205*q + 1014583*q. 3*q Collect the terms in -2702151*h + 2702151*h + 26*h**3 - 74*h**3. -48*h**3 Collect the terms in -3*r**3 - 207*r + 0*r**2 - 1 + r**2 + 7*r**3 + r**3. 5*r**3 + r**2 - 207*r - 1 Collect the terms in -41744*m**3 - 7 + 41588*m**3 + 7. -156*m**3 Collect the terms in 317 - 218*k - 840 + 523. -218*k Collect the terms in -719*z**2 + 2908*z**2 - 725*z**2 - 735*z**2 - 726*z**2. 3*z**2 Collect the terms in -35888*w + 35313*w - 37570*w - 65916*w + 1300*w. -102761*w Collect the terms in 412*d + 145*d + 213 + 235*d - 163*d + 573*d. 1202*d + 213 Collect the terms in 15 + 2501*j - 15 + 34051*j. 36552*j Collect the terms in 167 - 2*c + 169 - 819 + 167 + 171 + 164. -2*c + 19 Collect the terms in -15024*o**3 - 15031*o**3 + 45041*o**3 - 15019*o**3. -33*o**3 Collect the terms in 1989381870*f + 2*f**2 - 12*f**2 - 1989381870*f. -10*f**2 Collect the terms in -364*y - 7483 + 367*y + 2299. 3*y - 5184 Collect the terms in 835*i + 784*i + 242*i**2 - 1619*i + 6. 242*i**2 + 6 Collect the terms in -13179*g + 6991*g + 6202*g + 3. 14*g + 3 Collect the terms in 728*w - 143*w**3 + 443*w**3 - 723*w. 300*w**3 + 5*w Collect the terms in 2*b**2 - 70262 - 19*b + 19*b + 179645. 2*b**2 + 109383 Collect the terms in 86606*b**3 - 25801*b**3 - 2 + 2. 60805*b**3 Collect the terms in -23714901 + 23714901 - 3*b**2 + 2014*b - 2014*b. -3*b**2 Collect the terms in -26700*g**2 + 53251*g**2 - 25926*g**2. 625*g**2 Collect the terms in -19355*r + 3*r**2 + 81 + 19355*r. 3
{ "pile_set_name": "DM Mathematics" }
-4*y*(y - 1)*(y + 1)**2/3 Suppose -20*q = -22*q - 112. Let y be (-6)/(-10) + (q/105)/(-8). Determine n, given that n**2 - 1/3*n**3 + 0 - y*n = 0. 0, 1, 2 Let j(x) be the second derivative of x**7/840 + x**6/360 - x**5/120 - x**4/24 + 5*x**3/2 + 4*x. Let v(m) be the second derivative of j(m). Factor v(k). (k - 1)*(k + 1)**2 Let i(h) be the third derivative of h**7/70 + 7*h**6/40 - 17*h**5/20 + 9*h**4/8 - 425*h**2. Factor i(s). 3*s*(s - 1)**2*(s + 9) Let r(x) be the third derivative of -x**7/14 + 27*x**6/40 - 3*x**5/2 + x**4 + 93*x**2. Factor r(g). -3*g*(g - 4)*(g - 1)*(5*g - 2) Let u(y) be the third derivative of -2*y**6/3 + 2*y**5/15 - y**4/120 - y**2 - 90*y. Solve u(h) = 0. 0, 1/20 Let o(r) be the first derivative of -r**6 - 52*r**5/15 - 5*r**4/2 + 4*r**3/9 + 950. Let o(p) = 0. What is p? -2, -1, 0, 1/9 Let x = -9338/5 - -1870. Factor -4/5*d + 4/5*d**4 + 0 - x*d**3 + 12/5*d**2. 4*d*(d - 1)**3/5 Let f(b) be the second derivative of -b**5/90 + 25*b**4/18 - 625*b**3/9 + 15625*b**2/9 + 6*b + 10. Solve f(m) = 0. 25 Let m = 54 + -56. Let k(p) = -p**4 - 5*p**3 + 2*p - 2. Let i(l) = -l**4 - 5*l**3 + 3*l - 3. Let r(b) = m*i(b) + 3*k(b). Factor r(v). -v**3*(v + 5) Solve -23*q**2 - 10*q**3 - 10*q - 5*q + 51 + 3*q**2 - 55 + q**5 = 0 for q. -1, 4 Let d(w) be the third derivative of -2/25*w**5 - 32*w**2 - 8/15*w**3 + w + 0 + 4/15*w**4 - 1/1050*w**7 + 1/75*w**6. Factor d(j). -(j - 2)**4/5 Factor -1/4*p**4 - 16*p**2 + 0*p - 4*p**3 + 0. -p**2*(p + 8)**2/4 Solve 8*o - 7766*o**4 - 4*o - 4*o**3 + 7830*o**4 - 64*o**2 = 0. -1, 0, 1/16, 1 Let q be 1/((-21)/(-70)) + 16/(-12). Factor -3/5 + 6/5*c**3 + 0*c**q + 3/5*c**4 - 6/5*c. 3*(c - 1)*(c + 1)**3/5 Let n(a) be the first derivative of 2*a**3/27 + 7*a**2/9 + 20*a/9 - 45. Factor n(s). 2*(s + 2)*(s + 5)/9 Let m be -1 - (-129)/42*2. Let l = -54/7 + 57/7. Determine f so that -24/7 - l*f**3 - m*f - 18/7*f**2 = 0. -2 Factor -24/5*p**2 + 0 + 3/5*p**3 + 21/5*p. 3*p*(p - 7)*(p - 1)/5 Let n(u) be the first derivative of u**3/9 + 13*u**2/3 + 169*u/3 + 121. Determine p, given that n(p) = 0. -13 Let u(l) be the second derivative of -l**4/36 - l**3/9 - l**2/6 - 2*l + 35. Determine k so that u(k) = 0. -1 Let k(w) = -8*w. Let q be k(-1). Let s = q - 5. Solve -8*v**4 - 2*v + 3*v**2 - 6*v**3 + s*v**2 + 10*v**4 = 0. 0, 1 Let f(q) be the second derivative of 0 - 2/51*q**3 - 1/17*q**2 - 16*q - 1/102*q**4. Solve f(y) = 0 for y. -1 Let j(r) be the second derivative of 3/5*r**5 - 2/15*r**6 + 0 + 0*r**3 + 27*r + 0*r**2 + 0*r**4. Factor j(f). -4*f**3*(f - 3) Suppose 0 = 5*f - 10 - 10. Suppose -5*r = f*i - 43, -i + 5 + 17 = -r. Factor 11*z + 70*z**3 + 0*z - 25*z**4 - 4 + i*z - 69*z**2. -(z - 1)**2*(5*z - 2)**2 Let y(w) be the second derivative of 35*w + 1/2*w**2 + 1/3*w**3 + 1/12*w**4 + 0. Let y(l) = 0. Calculate l. -1 Factor 2*t**2 - 77*t**3 + 74*t**3 + 3*t - 3*t**4 + t**2. -3*t*(t - 1)*(t + 1)**2 Let o(q) = -q**3 + 4*q**2 + 4*q + 119. Let p be o(7). Factor p - 1/2*n**3 - 1/2*n**4 + n**2 + 0*n. -n**2*(n - 1)*(n + 2)/2 Let g = 2/14379 - -100649/28758. Factor -g*t - t**2 + 1/2*t**3 - 2. (t - 4)*(t + 1)**2/2 Let t be (6 - 17) + 9 - 28/(-4). Suppose -n**4 + 0 - 1/9*n**2 + 2/3*n**3 + 4/9*n**t + 0*n = 0. Calculate n. 0, 1/4, 1 Suppose 1/3*d**4 + 0 + 8/3*d**2 + 0*d - 7/3*d**3 + 1/12*d**5 = 0. Calculate d. -8, 0, 2 Let i(a) be the third derivative of 1/30*a**5 + 0*a + 0 - 1/6*a**4 + 1/3*a**3 + 21*a**2. Factor i(d). 2*(d - 1)**2 Let o(f) be the second derivative of 1/4*f**5 + 0*f**2 - 1/3*f**6 + 0*f**4 + 0*f**3 + 5/42*f**7 + 20*f + 0. Determine r, given that o(r) = 0. 0, 1 Suppose 18 - 28 = -5*d. Factor -86*c**d + 96*c**2 - 1372*c**4 + 32*c + 1176*c**3 - 346*c**2. -4*c*(7*c - 2)**3 Suppose -2*c + 4*c = 32. Let m = -14 + c. Let -m + 2 + 8*f**3 + 6*f**4 - 18*f**4 = 0. What is f? 0, 2/3 Let t be (-3)/(-6) - (-5)/2*3. Factor -a**2 + 5*a + t*a - a. -a*(a - 12) Let w = 31 - -20. Factor 15*r**3 + 24*r**4 + 27*r + 63*r**2 + w*r**3 + 9*r**2 + 3*r**5. 3*r*(r + 1)**2*(r + 3)**2 Suppose 4*u + 8 = 4*z, 2*u - 7*z = -2*z - 10. Let t be (1 + u)/(((-132)/40)/(-3)). Factor 16/11 + 8/11*x - t*x**3 - 12/11*x**2 - 2/11*x**4. -2*(x - 1)*(x + 2)**3/11 Let s = -15/182 + 3441/2002. Find g such that -50/11*g**2 - s - 60/11*g = 0. -3/5 Let k(r) = 3*r**2. Let l(s) = -4*s**2 - s. Suppose 5*n + 23 = -2. Let p(v) = n*k(v) - 4*l(v). Factor p(d). d*(d + 4) Let d = -209207/5 + 41844. Suppose d*x**2 + 3/5*x**3 + 8/5 + 18/5*x = 0. Calculate x. -2, -4/3, -1 Let g(j) be the second derivative of -j**4/21 + 4*j**3/7 - 18*j**2/7 - 68*j. Determine v so that g(v) = 0. 3 Let w(y) = 2*y**3 + 5*y**2 - 5*y. Let g be w(-5). Let x be (g/40)/((-2)/4). Solve 9*m - x*m**2 + m**2 - 12 + 7*m = 0 for m. 1, 3 Let h(t) = 12*t**3 + 236*t**2 - 96*t - 164. Let r(a) = -12*a**3 - 236*a**2 + 98*a + 165. Let w(u) = 5*h(u) + 4*r(u). Suppose w(q) = 0. Calculate q. -20, -2/3, 1 Let y(x) be the third derivative of -x**9/45360 + x**7/7560 - 9*x**4/8 + 36*x**2. Let q(f) be the second derivative of y(f). Factor q(d). -d**2*(d - 1)*(d + 1)/3 Suppose 5*n - 5*z = -620, 0 = n + 5*z - 2*z + 108. Let f = n - -124. Factor 0*p + 0 + 2/3*p**3 + 0*p**2 + 2/3*p**f. 2*p**3*(p + 1)/3 Let t(d) = -d**3 - 2*d**2 + 8*d + 6. Let v be t(-4). Let n be (10/v)/((-6)/(-144)). Factor -43*j**2 - 3*j**5 + 3*j**3 + 2*j**4 + j**4 + n*j**2. -3*j**2*(j - 1)**2*(j + 1) Suppose 36*j - 35*j - 130 = 0. Let n = j - -50. Factor z + z + n*z**2 + 3 - 181*z**2. -(z - 3)*(z + 1) Let c(z) be the first derivative of -3*z**4/8 + 3*z**2/4 + 102. Let c(m) = 0. What is m? -1, 0, 1 Let o(f) be the first derivative of 1/2*f**3 - 9 + 6*f**2 + 24*f. Factor o(q). 3*(q + 4)**2/2 Let q(j) be the first derivative of j**4/2 - 124*j**3/3 + 961*j**2 - 587. Find p, given that q(p) = 0. 0, 31 Let a(m) be the third derivative of m**7/42 + 5*m**6/6 + 77*m**5/12 - 605*m**4/12 + 31*m**2 + 2*m. Factor a(j). 5*j*(j - 2)*(j + 11)**2 Let b(z) be the second derivative of -31/3*z**4 - 2/5*z**6 - 12*z**2 - 46/3*z**3 - 18*z + 0 - 17/5*z**5. Determine a, given that b(a) = 0. -3, -1, -2/3 Suppose 0 = 4*c + 2*w - 245 - 135, -4*w - 488 = -5*c. Solve -1 - 6 + c*p**2 + 2 - 6*p - 97*p**2 = 0. -5, -1 Let m = 26 - 36. Let a = -10 - m. Let 7*l - 16 - 18*l - 4*l**2 + a*l - 5*l = 0. What is l? -2 Let f(a) = -a + 18. Let h be f(4). Factor -10*m - 18*m - h + 57*m**2 + 112 - 55*m**2. 2*(m - 7)**2 Let q be (-2)/(-5) + (-1121)/(-885). Factor 0 + 4/3*z**2 + 2/3*z**4 - q*z**3 - 1/3*z. z*(z - 1)**2*(2*z - 1)/3 Let z = 1/2577 + 113381/18039. Let y = -368/63 + z. Factor -2/9 - 2/9*t**2 - y*t. -2*(t + 1)**2/9 Let v(u) = -3*u**3 - 22*u**2 + 17*u + 10. Let w(j) = 3*j**3 + 22*j**2 - 17*j - 11. Let n(q) = -3*v(q) - 2*w(q). Find p, given that n(p) = 0. -8, -1/3, 1 Let q(i) be the second derivative of i**5/20 + 17*i**4/60 + 7*i**3/15 + 4*i + 17. Find v, given that q(v) = 0. -2, -7/5, 0 Let a be ((-3)/4)/(1245/(-664)). Factor a*m - 2/5*m**2 + 4/5. -2*(m - 2)*(m + 1)/5 Let c(y) = 2*y**3 - 3*y**2 - y + 2. Let w(f) = 2*f - 10. Let a be w(6). Let g be c(a). Factor 54*i**2 + i**g - 12*i**3 + 55 + 26 - 15*i + 15*i - 108*i. (i - 3)**4 Find c, given that 4/3*c**3 + 128/3*c + 56/3*c**2 - 512/3 = 0. -8, 2 Let a be (-1 - (-45)/6)/((-11)/(-22)). Find t such that -2*t - 16*t**2 - 32*t**3 - 3 + 16 - a = 0. -1/4, 0 Let v(c) be the third derivative of -c**10/30240 + c**9/6048 + 7*c**5/30 - 18*c**2. Let s(a) be the third derivative of v(a). Solve s(w) = 0 for w. 0, 2 Suppose -3*p + 19 = -5*t, -2*p = p - 4*t - 17. Factor 10*c**2 + 5*c**p - 23*c + 23*c - 5*c**4. -5*c**2*(c - 2)*(c + 1) Let u = 2/1517 - 188114/4551. Let r = u - -42. Factor r*q**3 + 2/3*q**2 - 2/3*q - 2/3. 2*(q - 1)*(q + 1)**2/3 Let u be (-227)/80 - 4*9/(-12). Let z(a) be the third derivative of -11/40*a**5 + 1/8*a**4 + 0 - a**2 + 0*a**3 - u*a**6 + 0*a. Factor z(o). -3*o*(o + 1)*(13*o - 2)/2 Let d(y) be the first derivative of -3*y**4/20 - 6*y**3/5 - 27*y**2/10 - 12*y/5 + 19. Suppose d(q) = 0. Calculate q. -4, -1 Let q(m) be the second derivative of m**5/5 + 7*m**4/2 - 35*m**3/3 + 12*m**2 + 29*m. Suppose q(p) = 0. Calculate p. -12, 1/2, 1 Suppose 0 = -5*i + 9*i - 4. Suppose -4*l - i = -105. Factor 3*f**3 + 6 - 17*f**4 + f - 4*f - 15*f**2 + l*f**4. 3*(f - 1)*(f + 1)**2*(3*f - 2) Suppose 15 = 4*f - 5. Let m be f*-2*(-2)/5. Factor m*o**5 - 3*o**4 + 2*o**3 - 2*o**5 + 3*o*
{ "pile_set_name": "DM Mathematics" }
1885 * 21 39585 300741*3 902223 Work out -0.77 * 0.486. -0.37422 Multiply -0.151 and 210.25. -31.74775 Multiply 1991 and -27. -53757 Work out -3372 * 7. -23604 What is 1.9 times 6064? 11521.6 Calculate -349*5823. -2032227 207 * -0.3 -62.1 Product of 0.0704 and 46. 3.2384 0.197737*-5 -0.988685 -101*176 -17776 Multiply 0.3 and 23.7336. 7.12008 What is 22840 times 0.08? 1827.2 -0.21 times -8.02 1.6842 What is 54 times -0.0341? -1.8414 What is 40 times 6297? 251880 340.44*0.7 238.308 66235 times -0.3 -19870.5 1596 * -0.18 -287.28 Work out -23842 * 2.1. -50068.2 Multiply -33341 and -0.084. 2800.644 What is -0.5 times -25.202? 12.601 Multiply -165 and 1.97. -325.05 0.0506*-0.7 -0.03542 -4*78804 -315216 -0.349 * -354 123.546 9 times 2587 23283 What is 4.552 times 607? 2763.064 116545 times -3 -349635 Work out 0.06 * -5638.9. -338.334 Work out -238985 * 0.08. -19118.8 -5 * 7011 -35055 Product of -42148 and -0.2. 8429.6 Product of 16.207 and -25. -405.175 Work out 106844 * 0.2. 21368.8 -0.1*-13.301 1.3301 Work out 49 * 1.7196. 84.2604 Product of 18 and 139223. 2506014 Work out 208.3 * 5.8. 1208.14 What is -137 times 430? -58910 What is -0.05 times 0.007? -0.00035 What is -119.836 times 0.09? -10.78524 What is 119 times 8491? 1010429 Work out -190336 * -1. 190336 Multiply 134 and 2188. 293192 0.1001 times -101 -10.1101 What is the product of 0.06 and -99.89? -5.9934 Multiply 0.1 and -48.97. -4.897 -263.8 times 0.1 -26.38 -0.5 * 0.012197 -0.0060985 What is the product of 1030 and -1469? -1513070 0.2*14900 2980 Product of -2083.932 and 0.1. -208.3932 Multiply 1430 and 0.13. 185.9 Calculate 10.024*-1. -10.024 2093*0.5 1046.5 What is 4291 times -0.0244? -104.7004 Work out -30.981 * -0.4. 12.3924 Work out 2 * -4.73821. -9.47642 Work out 0.99 * 10940. 10830.6 What is 82 times 13.25? 1086.5 What is the product of 1.9 and 2.1559? 4.09621 0.21 * -633.93 -133.1253 Calculate -4*738651. -2954604 Work out 29 * 0.2413. 6.9977 31*28280 876680 69 times -2.72 -187.68 135*-97 -13095 What is the product of -19 and -2.8001? 53.2019 Calculate -0.2*-669047. 133809.4 Work out -24.94 * -0.8. 19.952 Work out -0.05 * -1349. 67.45 Multiply 398.83 and -22. -8774.26 What is -0.2067 times -4? 0.8268 Product of 3.051 and 0.028. 0.085428 Multiply 4 and -19975. -79900 What is the product of 2786 and 998? 2780428 Product of -1.34 and -1168.4. 1565.656 Work out 1.3311 * -1. -1.3311 What is -93.264 times -0.5? 46.632 Calculate -0.05*838.3. -41.915 Product of -3 and -136440. 409320 Work out -222 * 16.7. -3707.4 -759.26 times 0.3 -227.778 Product of -5.958 and -7. 41.706 Multiply -1.6 and -1701. 2721.6 What is the product of 5 and 516877? 2584385 Multiply 133 and 0.67. 89.11 Product of 2 and 343752. 687504 What is -166589 times -0.1? 16658.9 -94773*-9 852957 Multiply 0.0522 and 30. 1.566 What is the product of 1584880 and 0.3? 475464 What is the product of -24 and -0.1362? 3.2688 What is -157179 times -0.4? 62871.6 Product of -5.268 and -2. 10.536 Product of -60855 and 0. 0 What is -351.95 times 0? 0 Work out 170 * -546. -92820 2177.4*0.14 304.836 Calculate -1.4*-16408. 22971.2 What is 9306 times 3? 27918 -3*54.0752 -162.2256 Calculate -0.1989947*0. 0 -125019 times 0.3 -37505.7 0.02 times 0.008231 0.00016462 0.1*266234 26623.4 Multiply -553 and 141. -77973 What is 4009.4 times -2? -8018.8 -3 * -822.9 2468.7 Calculate -24.4*252.5. -6161 504 * 5.2 2620.8 -34.1 * -0.1855 6.32555 Multiply 0.02 and -72.937. -1.45874 Product of 72.19 and -1.12. -80.8528 What is the product of 220 and -320? -70400 What is the product of 10 and 244.4? 2444 978434 times -0.3 -293530.2 -2 * 27932 -55864 66.7756 * 0.1 6.67756 -2.933*-25 73.325 What is the product of -56.43 and 3.92? -221.2056 Calculate -3*73.354. -220.062 Work out -2 * -0.07121. 0.14242 Calculate 1*118.5185. 118.5185 1256*62 77872 0.049903 times -0.2 -0.0099806 Multiply -2322 and 0. 0 Product of -0.1 and 0.12689. -0.012689 What is -0.15 times 26263? -3939.45 Multiply -1051 and -0.21. 220.71 Product of 115701 and -0.1. -11570.1 Work out 9269 * 8. 74152 Calculate 0.949*0.2. 0.1898 What is -0.3 times 1.936? -0.5808 0.2422 times 6 1.4532 Work out -7948 * 200. -1589600 400.03 * 6 2400.18 -7*-0.2385 1.6695 Multiply 220 and 1.8. 396 Multiply -1141421 and 0.3. -342426.3 Multiply 0.191 and 738. 140.958 Product of -1158 and 7.2. -8337.6 Multiply -3 and -31379. 94137 Product of -0.203 and 1191. -241.773 24*5666.7 136000.8 What is the product of 0.4 and -4865? -1946 0.266 * -55 -14.63 Product of -3655 and -0.07. 255.85 Work out 0.1 * 9122. 912.2 Multiply -1300 and 5. -6500 Work out -0.216072 * 21. -4.537512 -0.018 times 1524 -27.432 What is the product of 323 and 4.2? 1356.6 Multiply -179 and -46. 8234 3 * -94602 -283806 What is the product of -14 and -0.179? 2.506 Work out 499551.1 * 0.5. 249775.55 Product of -391 and 3. -1173 Product of 5 and -382425. -1912125 Multiply 0.21 and 1.973. 0.41433 Multiply -180 and 0.06559. -11.8062 Calculate -0.08273*3.3. -0.273009 What is 1.6 times 0.331? 0.5296 Multiply -0.2 and 39013. -7802.6 -0.126*-8771 1105.146 Product of -3 and 384060. -1152180 -8319 * -5.3 44090.7 What is 17676 times -7? -123732 Work out 72124 * -0.5. -36062 -5933 times -62 367846 What is 9563 times 8? 76504 Multiply -315.66 and 52. -16414.32 What is the product of -7 and -0.96457? 6.75199 Work out -3222.02 * 0.02. -64.4404 What is the product of -0.1 and -206620? 20662 Work out 43 * -2686. -115498 Product of 23372.8 and -0.16. -3739.648 What is -0.43 times -8241? 3543.63 Multiply -1881672 and -1. 1881672 What is 2344 times 0.08? 187.52 Product of -0.003223 and -0.6. 0.0019338 What is the product of 0.04053 and 15? 0.60795 -11163*-0.69 7702.47 -1145755*0.5 -572877.5 What is -0.6184 times -2? 1.2368 Product of 1222.9 and 37.2. 45491.88 What is 0.316 times 67.5? 21.33 2 * 129.23 258.46 Product of -486096 and -0.1. 48609.6 Work out -5562.5 * 4. -22250 Calculate -0.071*304. -21.584 Multiply -8.9 and 1319. -11739.1 Multiply 48.48 and 4. 193.92 1.8363 * -0.02 -0.036726 -13*0.177 -2.301 Multiply 0.40675 and 2.8. 1.1389 -398686 * 4 -1594744 Work out 241502 * -4. -966008 -1.13809 * -4 4.55236 Calculate 6*322.856. 1937.136 What is the product of 257.43 and -4? -1029.72 Multiply -0.1 and 0.42805. -0.042805 Multiply 196.6 and -4. -786.4 What is the product of -1402918 and 1? -1402918 -1045994 times -0.5 522997 Multiply -0.1 and -120.922. 12.0922 16.3375 * 4 65.35 35055*0.16 5608.8 Work out 2105.3 * -0.247. -520.0091 -0.5 times 0.11129 -0.055645 What is -0.04123 times 1? -0.04123 Calculate 1.144*-1.1. -1.2584 0.35012 times 0.1 0.035012 1 times -189247 -189247 Work out -1166 * 3. -3498 Work out 7991 * -37. -295667 -4*-18894 75576 219 times -85 -18615 Multiply 7173 and 0.05. 358.65 What is the product of 20282.27 and -4? -81129.08 Work out -943.28 * 0.2. -188.656 What is 4 times -31405.3? -125621.2 Calculate 50*-14.1. -705 Multiply -0.05 and -23838. 1191.9 -10 * -8121 81210 -4124 times 5 -20620 What is the product of 150.8 and 18? 2714.4 0.078 times -1.287 -0.100386 What is 318 times 51? 16218 218.047 times 3 654.141 Work out -5 * 66686. -333430 0.8238 * 511 420.9618 Work out -0.34441 * 61. -21.00901 Multiply 6 and -5131.9. -30791.4 What is the product of 14339 and -0.5? -7169.5 Work out 0.03336 * -0.9. -0.030024 Multiply -15 and 951.6. -14274 -23*180.9 -4160.7 Product of 0.1539 and -2.04. -0.313956 270.07 * -0.1 -27.007 Product of -89.3 and -78. 6965.4 Calculate 3555*-0.31. -1102.05 Product of -0.1 and 36451. -3645.1 Product of 0.32 and 0.232. 0.07424 0.55661*-1 -0.55661 Work out -20.4 * 0.18. -3.672 Calculate 134.29*-9. -1208.61 Work out 0.5 * 53405. 26702.5 Product of -0.5 and 2033589. -1016794.5 Product of -7492 and -3. 22476 -0.5101*1.25 -0.637625 What is -414.3254 times -0.1? 41.43254 Multiply -1060.54 and 0.1. -106.054 Calculate -0.1*-40185. 4018.5 60987 * -0.09 -5488.83 Product of -1534 and 0.8. -1227.2 -8869*31 -274939 Product of 2351 and -0.14. -329.14 Multiply -461 and 8246. -3801406 Work out -3 * 0.9627. -2.8881 2 * -0.874357 -1.748714 Product of 1147.4 and 3. 3442.2 Multiply -17.9944 and 1. -17.9944 Work out 1.096 * -0.01. -0.01096 Multiply -10.76 and -1.1. 11.836 2689 times 51 137139 133061 * 5 665305 Product of -87 and 0.868. -75.516 Calculate -393*-0
{ "pile_set_name": "DM Mathematics" }
3193107, -3193213, -3193357? -3193545 What is next in -3057644, -3057651, -3057658? -3057665 What comes next: -40626, -85580, -130548, -175536, -220550, -265596? -310680 What is next in -25242827, -25242824, -25242821, -25242818? -25242815 What comes next: -739741, -739739, -739737, -739735? -739733 What is the next term in -3268, -6625, -9980, -13333? -16684 What is the next term in -580206124, -1160412250, -1740618376, -2320824502? -2901030628 What is the next term in 364, 3995, 14166, 34147, 67208, 116619, 185650? 277571 What comes next: 2599, 10142, 22637, 40084, 62483, 89834? 122137 What comes next: -8719734, -8719743, -8719752? -8719761 What is the next term in 7346, 11665, 15970, 20255, 24514? 28741 What is next in 499035, 499499, 500271, 501345, 502715? 504375 What comes next: 21024, 42485, 63946, 85407, 106868? 128329 What comes next: 209909, 210235, 210779, 211541? 212521 What is next in -70926441, -70926439, -70926437, -70926435, -70926433, -70926431? -70926429 What is the next term in -54619016, -54619019, -54619024, -54619031, -54619040? -54619051 What comes next: 12598, 25641, 39076, 52903, 67122? 81733 What comes next: 207, 702, 1279, 1980, 2847, 3922, 5247, 6864? 8815 What comes next: 4337293, 4337294, 4337295? 4337296 What comes next: 1585051, 3170112, 4755173, 6340234? 7925295 What comes next: 119183, 118923, 118657, 118385, 118107, 117823? 117533 What is the next term in -8608, -17532, -26456, -35380, -44304, -53228? -62152 What comes next: -47829, -47618, -47391, -47148, -46889? -46614 What comes next: 599, 1279, 1969, 2675, 3403, 4159, 4949, 5779? 6655 What comes next: 4679, 18042, 40085, 70808? 110211 What is next in 14004443, 28008887, 42013331, 56017775, 70022219? 84026663 What comes next: 57555441, 115110880, 172666319, 230221758, 287777197? 345332636 What is next in -1256, -1482, -1798, -2210, -2724, -3346, -4082, -4938? -5920 What is next in 233444, 233253, 233062? 232871 What comes next: 26304, 52260, 78216, 104172? 130128 What comes next: 41780, 41465, 41158, 40859? 40568 What is next in 71, 70, 25, -70, -221, -434, -715, -1070? -1505 What is next in -332900, -665796, -998692? -1331588 What is next in -4512775, -4512750, -4512715, -4512670, -4512615, -4512550? -4512475 What is next in 90797, 89052, 87307, 85562, 83817? 82072 What is the next term in -19950904, -39901815, -59852728, -79803643, -99754560, -119705479, -139656400? -159607323 What is the next term in -8231885, -16463765, -24695645, -32927525, -41159405? -49391285 What is next in -797843, -797658, -797473, -797288, -797103? -796918 What is the next term in 318007, 636068, 954129? 1272190 What comes next: 1837172, 3674328, 5511498, 7348682, 9185880, 11023092? 12860318 What is next in 215614580, 431229167, 646843756, 862458347? 1078072940 What comes next: 1437, 2749, 3937, 5001, 5941, 6757, 7449? 8017 What is the next term in 2419, 3040, 4121, 5662? 7663 What is the next term in -1663239, -1663238, -1663237? -1663236 What comes next: -29462, -58964, -88450, -117920? -147374 What comes next: 210002726, 210002729, 210002732, 210002735? 210002738 What comes next: -515005, -1030016, -1545013, -2059996, -2574965, -3089920, -3604861? -4119788 What is the next term in -41955, -336407, -1135605, -2691921, -5257727, -9085395? -14427297 What is next in -2417, -2669, -3053, -3635, -4481, -5657? -7229 What comes next: 26919, 26226, 25533, 24840? 24147 What is next in -1005, -4017, -9055, -16119? -25209 What is next in -685, -691, -705, -727, -757? -795 What is the next term in -6771503, -13543005, -20314507, -27086009, -33857511, -40629013? -47400515 What is next in -3139, -8433, -13729, -19027, -24327? -29629 What is the next term in -33464, -35297, -37130, -38963? -40796 What is the next term in 117, 685, 2187, 5091, 9865, 16977, 26895, 40087? 57021 What is next in 568, 1951, 4246, 7447, 11548, 16543, 22426, 29191? 36832 What is the next term in -7267, -14263, -21023, -27547, -33835, -39887, -45703? -51283 What comes next: -344249, -344023, -343797, -343571? -343345 What is next in 269, 398, 723, 1334, 2321, 3774, 5783? 8438 What is next in -2637, -2523, -2405, -2277, -2133? -1967 What comes next: 28633799, 57267596, 85901393? 114535190 What is next in 229, 541, 815, 1051, 1249, 1409? 1531 What is next in -2803, -12141, -27783, -49729? -77979 What comes next: -389, 564, 2731, 6118, 10731, 16576? 23659 What is next in -5375763, -5375780, -5375809, -5375850? -5375903 What comes next: -1793967, -1794140, -1794311, -1794480? -1794647 What is next in -7996973, -31987856, -71972655, -127951364, -199923977, -287890488, -391850891, -511805180? -647753349 What is the next term in 178, 2037, 7170, 17215, 33810, 58593? 93202 What is the next term in -7084, -56286, -189678, -449356, -877416, -1515954, -2407066? -3592848 What is the next term in -4949, -19877, -44755, -79571, -124313? -178969 What is the next term in 343, 1813, 4421, 8179, 13099? 19193 What is next in -766867, -766871, -766875, -766879, -766883, -766887? -766891 What is next in -11465, -45799, -102903, -182681, -285037, -409875, -557099, -726613? -918321 What is the next term in -1637024, -3274040, -4911056? -6548072 What comes next: 26180, 21451, 16724, 11999? 7276 What is the next term in 808132501, 808132497, 808132491, 808132483, 808132473, 808132461? 808132447 What is the next term in -1275, -2557, -3821, -5055, -6247, -7385, -8457, -9451? -10355 What is the next term in 64668, 129091, 193506, 257913, 322312, 386703? 451086 What is next in -734585, -1469196, -2203809, -2938424, -3673041, -4407660? -5142281 What comes next: 828467, 828609, 828749, 828887? 829023 What is the next term in 24305180, 24305177, 24305174, 24305171? 24305168 What is the next term in 13716, 27196, 40676, 54156, 67636? 81116 What is next in -700035, -1400058, -2100081? -2800104 What is next in 49150, 47703, 46256, 44809? 43362 What is next in 22361, 51081, 79801, 108521? 137241 What is next in -109949, -219768, -329455, -439010, -548433, -657724, -766883? -875910 What is the next term in -9629, -18867, -28105? -37343 What is the next term in -3059863, -3059862, -3059861, -3059860? -3059859 What is next in -221926, -221925, -221924, -221923? -221922 What is next in 1710713, 3421419, 5132125, 6842831, 8553537, 10264243? 11974949 What is next in 11068252, 22136506, 33204760, 44273014? 55341268 What is the next term in 28994943, 28994941, 28994939? 28994937 What comes next: 32401, 32813, 33515, 34513, 35813, 37421, 39343, 41585? 44153 What is next in -1672550, -3345091, -5017632, -6690173, -8362714? -10035255 What comes next: 20730, 20328, 19926? 19524 What is the next term in 7311, 7187, 7067, 6957, 6863, 6791? 6747 What is the next term in 154419, 308863, 463307, 617751, 772195? 926639 What is the next term in -3621, -19356, -45579, -82290? -129489 What comes next: -254298, -508589, -762880? -1017171 What comes next: 370183, 1480784, 3331783, 5923180, 9254975, 13327168? 18139759 What is next in 1236, 2481, 3734, 4983, 6216? 7421 What is next in -27114, -217629, -734766, -1741845, -3402186, -5879109? -9335934 What comes next: -56836, -57679, -59084, -61051, -63580, -66671, -70324? -74539 What is the next term in 4211, 28082, 88491, 202310, 386411, 657666, 1032947? 1529126 What is the next term in -698, -892, -1208, -1646, -2206, -2888, -3692? -4618 What is the next term in 637, 2356, 5215, 9214, 14353, 20632, 28051? 36610 What is the next term in -28441, -115771, -261329, -465121, -727153? -1047431 What comes next: 13067, 52669, 118669, 211067, 329863, 475057, 646649? 844639 What comes next: 281798, 563548, 845298, 1127048, 1408798, 1690548? 1972298 What is the next term in -7921, -15754, -23575, -31378, -39157, -46906, -54619, -62290? -69913 What is the next term in 3095738, 12382950, 27861636, 49531796, 77393430, 111446538, 151691120? 198127176 What is the next term in 9943781, 9943779, 9943777, 9943775, 9943773? 9943771 What is the next term in 1918, 2313, 3114, 4315, 5910, 7893, 10258, 12999? 16110 What is next in 7785, 9514, 11243, 12972? 14701 What is the next term in -3887721, -3887722, -3887723, -3887724, -3887725, -3887726? -3887727 What is the next term in 26126411, 26126414, 26126417, 26126420? 26126423 What is the next
{ "pile_set_name": "DM Mathematics" }
there in 453473.3 weeks? 3174313.1 How many millimeters are there in 37/5 of a meter? 7400 How many days are there in 23016112.2 microseconds? 0.0002663901875 What is 636990.5 millennia in decades? 63699050 Convert 4.130987ml to litres. 0.004130987 How many months are there in 21.15913 millennia? 253909.56 How many nanometers are there in 48427.37 millimeters? 48427370000 What is 646468.6 micrometers in meters? 0.6464686 What is 41/2 of a centimeter in millimeters? 205 What is 27/2 of a litre in millilitres? 13500 What is 2/45 of a week in minutes? 448 Convert 21342.24 months to years. 1778.52 What is 6704.809 nanometers in centimeters? 0.0006704809 What is 0.4245881cm in meters? 0.004245881 How many centuries are there in 1364.961 millennia? 13649.61 How many microseconds are there in 13/4 of a millisecond? 3250 How many hours are there in 4287.5109ms? 0.00119097525 How many millimeters are there in fifty-three fifths of a meter? 10600 How many seconds are there in 1/24 of a hour? 150 How many centuries are there in 27/5 of a millennium? 54 What is eighty-seven halves of a litre in millilitres? 43500 What is 9513.181l in millilitres? 9513181 How many months are there in 12/25 of a century? 576 What is 0.5700111 decades in millennia? 0.005700111 How many hours are there in 550.0536 weeks? 92409.0048 How many kilometers are there in 5.180674cm? 0.00005180674 What is 667238.1ug in nanograms? 667238100 How many millilitres are there in 11/2 of a litre? 5500 Convert 577973.2 nanometers to centimeters. 0.05779732 What is 3/5 of a millennium in years? 600 How many months are there in 43/3 of a year? 172 How many seconds are there in 9/10 of a minute? 54 What is seventeen tenths of a kilogram in grams? 1700 What is 25/2 of a litre in millilitres? 12500 How many millilitres are there in 7/2 of a litre? 3500 How many hours are there in ten thirds of a day? 80 What is 34192.53 grams in kilograms? 34.19253 How many litres are there in 0.4822159 millilitres? 0.0004822159 How many millilitres are there in 49.4926 litres? 49492.6 What is 680.9863 years in centuries? 6.809863 How many kilometers are there in 89.8442 micrometers? 0.0000000898442 What is twenty-three thirds of a week in minutes? 77280 What is 47.2069 nanoseconds in microseconds? 0.0472069 How many millilitres are there in one fifth of a litre? 200 How many months are there in 65.6685 years? 788.022 Convert 3.915091um to nanometers. 3915.091 How many months are there in 19/4 of a millennium? 57000 How many millilitres are there in 6/25 of a litre? 240 How many meters are there in 25632.53 centimeters? 256.3253 How many millennia are there in 93.16477 centuries? 9.316477 What is 0.3901954 nanograms in micrograms? 0.0003901954 How many kilometers are there in 458812.1 millimeters? 0.4588121 What is one tenth of a meter in centimeters? 10 What is 6.0058692 seconds in days? 0.000069512375 How many grams are there in 7.582332 milligrams? 0.007582332 What is eleven eighths of a centimeter in micrometers? 13750 Convert 665.9103 micrometers to centimeters. 0.06659103 Convert 6938.889 milligrams to grams. 6.938889 How many nanometers are there in 0.1466821 meters? 146682100 How many nanometers are there in fifty-seven halves of a micrometer? 28500 How many nanometers are there in 42/5 of a micrometer? 8400 How many grams are there in five quarters of a kilogram? 1250 What is 1/20 of a minute in milliseconds? 3000 How many micrometers are there in eleven eighths of a centimeter? 13750 How many milliseconds are there in 4.222192 weeks? 2553581721.6 Convert 14.0981ng to kilograms. 0.0000000000140981 How many micrograms are there in one quarter of a milligram? 250 What is 24825.6ug in nanograms? 24825600 Convert 77357.7 nanoseconds to days. 0.00000000089534375 What is six fifths of a litre in millilitres? 1200 Convert 5865.968ng to grams. 0.000005865968 How many nanometers are there in 7/4 of a micrometer? 1750 How many kilometers are there in 321.1071um? 0.0000003211071 How many decades are there in 92.4057 years? 9.24057 What is ten thirds of a week in hours? 560 What is three fifths of a minute in seconds? 36 How many kilograms are there in 5466.877 milligrams? 0.005466877 What is 7/8 of a gram in milligrams? 875 Convert 5.991016 nanometers to meters. 0.000000005991016 How many micrometers are there in three fifths of a millimeter? 600 Convert 17.02993mm to centimeters. 1.702993 How many millilitres are there in 0.4270062l? 427.0062 Convert 4390.556 millimeters to nanometers. 4390556000 How many milligrams are there in 1/10 of a kilogram? 100000 How many months are there in 3/5 of a decade? 72 How many milligrams are there in 13/4 of a gram? 3250 How many millilitres are there in 25/4 of a litre? 6250 How many micrograms are there in 4.046338 milligrams? 4046.338 What is 7/8 of a tonne in kilograms? 875 Convert 6.09995 meters to nanometers. 6099950000 What is 3089.062 micrometers in millimeters? 3.089062 How many tonnes are there in 7.843477 grams? 0.000007843477 What is 91/2 of a kilometer in meters? 45500 What is sixty-four thirds of a century in months? 25600 How many nanoseconds are there in 3/25 of a microsecond? 120 How many months are there in 3923.225 centuries? 4707870 How many millimeters are there in 0.456319km? 456319 Convert 25439.1984 minutes to weeks. 2.52373 Convert 55.45887 decades to years. 554.5887 How many minutes are there in 839.9113 days? 1209472.272 Convert 359.76312ns to hours. 0.0000000000999342 What is 0.7345225 centuries in months? 881.427 How many millilitres are there in fifty-one quarters of a litre? 12750 How many millilitres are there in 858.4624l? 858462.4 How many litres are there in 90761.52ml? 90.76152 How many minutes are there in five sixths of a day? 1200 How many centimeters are there in 3/32 of a kilometer? 9375 How many months are there in 3/16 of a millennium? 2250 What is 84733.64 millimeters in kilometers? 0.08473364 What is 3.806175 centuries in years? 380.6175 What is seventy-four fifths of a milligram in micrograms? 14800 Convert 16.370781 seconds to minutes. 0.27284635 Convert 6.97141 decades to centuries. 0.697141 What is 5/8 of a day in minutes? 900 What is 0.2941892 minutes in seconds? 17.651352 Convert 3.7822764 days to weeks. 0.5403252 What is 7.465583ml in litres? 0.007465583 What is 150.3097 decades in centuries? 15.03097 What is 2272.3023ns in minutes? 0.000000037871705 How many months are there in 67/5 of a century? 16080 What is 28/3 of a century in months? 11200 Convert 7.731153 years to millennia. 0.007731153 What is 0.9745559m in micrometers? 974555.9 What is 1014618.3 months in centuries? 845.51525 How many nanometers are there in one sixteenth of a millimeter? 62500 What is 21.05653l in millilitres? 21056.53 What is 1/16 of a milligram in nanograms? 62500 How many millilitres are there in 7/2 of a litre? 3500 How many months are there in 0.7519296 years? 9.0231552 How many minutes are there in fifteen quarters of a hour? 225 How many centimeters are there in 1/20 of a meter? 5 How many millilitres are there in 6/25 of a litre? 240 What is nine tenths of a kilometer in meters? 900 How many decades are there in thirty-four fifths of a millennium? 680 How many litres are there in 9.553013ml? 0.009553013 How many minutes are there in 21/5 of a week? 42336 What is 2/9 of a week in minutes? 2240 What is 303.8754nm in kilometers? 0.0000000003038754 What is 7/2 of a millimeter in micrometers? 3500 How many millilitres are there in 3/5 of a litre? 600 What is 0.479971t in milligrams? 479971000 What is 5/4 of a week in minutes? 12600 What is 484848.5 millimeters in meters? 484.8485 How many millilitres are there in 3/8 of a litre? 375 What is 37/5 of a kilogram in grams? 7400 How many millilitres are there in 97.46744l? 97467.44 What is sixty-three eighths of a millennium in months? 94500 Convert 331.569 days to milliseconds. 28647561600 What is 1/4 of a microgram in nanograms? 250 How many years are there in 4065.22 millennia? 4065220 What is 5/6 of a day in minutes? 1200 What is 42532.25cm in nanometers? 425322500000 How many decades are there in fourty-six fifths of a millennium? 920 How many months are there in twenty-nine fifths of a decade
{ "pile_set_name": "DM Mathematics" }
l(-1). Let p be 8/3 + q/(-27). Determine n, given that 5*n**4 + 4*n + 8*n**3 - p*n**4 - 5*n**4 - 10*n**2 = 0. 0, 1, 2 Let k = 584 + -587. Let t be k + (-465)/(-18)*34/255. Factor t*w**3 + 2/9*w - 5/9*w**2 - 1/9*w**4 + 0. -w*(w - 2)*(w - 1)**2/9 Let d = -69 - -109. Let k(y) = y**2 - 4*y - 13. Let r(g) = 2. Let j(u) = d*r(u) + 5*k(u). Factor j(m). 5*(m - 3)*(m - 1) Let g = 496109/9 + -55123. Factor 2/9*b**2 + 0 + 2/9*b - 2/9*b**3 - g*b**4. -2*b*(b - 1)*(b + 1)**2/9 Let a = -471747/7 + 67191. Let u = a + 202. Factor -u*f**3 + 0*f**4 + 2/7*f**5 + 2/7*f + 0*f**2 + 0. 2*f*(f - 1)**2*(f + 1)**2/7 Let k be 2/(-3*2/(-9)). Let r be 27 + -5 + 3 - (-4 - -1). Find w such that -2*w**3 + r*w**2 + 168 - 168 - 2*w**k = 0. 0, 7 Let g(m) be the second derivative of 10*m**3 + 25*m + 2 - 4*m**2 + 17/3*m**4. Find r, given that g(r) = 0. -1, 2/17 Let q be (2/22)/((-30)/(-33)). Let x(j) be the second derivative of -1/3*j**3 + 1/3*j**4 + 0*j**2 - q*j**5 + 5*j + 0. What is s in x(s) = 0? 0, 1 Suppose -7*b - 2 = -x - 6*b, -5*x + b + 2 = 0. Let h(z) be the third derivative of 1/210*z**5 + 10*z**2 + 0*z + 0*z**3 - 1/84*z**4 + x. Factor h(k). 2*k*(k - 1)/7 Let j(b) be the second derivative of -b**5/20 + 8*b**4/3 - 205*b**3/6 - 43*b**2/2 + 452*b. Let o be j(23). Factor 0 + 4/7*h**2 - 12/7*h - 4/7*h**4 + 12/7*h**o. -4*h*(h - 3)*(h - 1)*(h + 1)/7 Suppose 0*q = -4*l - q, -5*q = -3*l + 18 + 28. Suppose 16/7*n**l - 4/7*n**3 - 16/7*n + 0 = 0. What is n? 0, 2 Let g(l) = l**3 + 21*l**2 - 24*l + 16. Let v be g(-22). Determine k, given that 57 + 199 - 59*k**2 + v*k**2 - 32*k = 0. 16 Suppose 3*w + 18 = 2*d, -13*d + 4 = -9*d + 2*w. Factor -h**2 + 4*h**d - h**2 - 5*h**2 - h**3 + 13*h**2. 3*h**2*(h + 2) Let v(o) be the second derivative of o**4/3 + 80*o**3/3 + 408*o**2 + 166*o - 1. Let v(b) = 0. Calculate b. -34, -6 Let y = -187357/2 + 93679. Factor -1/4*f**3 + f**2 - 5/4*f + y. -(f - 2)*(f - 1)**2/4 Let v(p) be the third derivative of p**5/20 - 471*p**4 + 1774728*p**3 + 3349*p**2. Factor v(n). 3*(n - 1884)**2 Let y(q) be the first derivative of -q**3 - 21/2*q**2 - 31 + 0*q. Factor y(h). -3*h*(h + 7) Let g(d) be the second derivative of d**4/42 - 4*d**3/3 - 128*d**2/7 - 813*d - 2. Factor g(x). 2*(x - 32)*(x + 4)/7 Let s(y) be the first derivative of -10609*y**3/33 + 824*y**2/11 - 64*y/11 + 5780. Determine h, given that s(h) = 0. 8/103 Let j(t) be the first derivative of 1/5*t**4 + 2/5*t**3 + 0*t**2 + 0*t - 149 + 1/50*t**5. Factor j(x). x**2*(x + 2)*(x + 6)/10 Let u(m) = -24*m**2 - 1076*m + 1488. Let w(k) = 20*k**2 + 1084*k - 1488. Let f(z) = 2*u(z) + 3*w(z). Suppose f(y) = 0. What is y? -93, 4/3 Suppose 38*p + 1595 = -533. Let j be (-4)/14 + p/(-98). Solve 192/7*c**2 - 32/7*c**3 - 512/7*c + 512/7 + j*c**4 = 0 for c. 4 Suppose 0 = -4*a + 6 + 14. Find j such that -4*j**4 + 2*j**a - 12 + 4*j**5 - 40*j + 32*j**3 - 24*j**2 + 40*j**4 + 2*j**5 = 0. -3, -1, -1/2, 1 Let q(x) be the second derivative of x**4/60 - 13*x**3/30 - 7*x**2/5 - 96*x + 8. Suppose q(a) = 0. What is a? -1, 14 What is a in -73*a + 0 + 3/2*a**2 = 0? 0, 146/3 Let z(b) = -3 + 1 + 1 - b**3. Let t(n) = -12*n**3 + 15*n**2 - 7*n - 2. Suppose -6 = -11*s + 8*s, -v + 2*s = 7. Let g(f) = v*z(f) + t(f). Factor g(o). -(o - 1)*(3*o - 1)**2 Suppose -2288*b - 1055*b = -473*b + 809*b - 956540. Solve b*s**2 + 0 - 1352/5*s + 36/5*s**4 - 384/5*s**3 = 0. 0, 2, 13/3 Factor 2/17*n**2 - 3188/17*n + 3186/17. 2*(n - 1593)*(n - 1)/17 Suppose 17*n - 38 = 18*n. Let q = n + 40. Solve -49*p - 2 + 10*p + 7*p**q + 20*p + 14*p = 0. -2/7, 1 Let r(h) be the second derivative of h**7/28 - 17*h**6/10 + 189*h**5/40 + 17*h**4/4 - 16*h**3 + 2*h - 2136. Solve r(t) = 0 for t. -1, 0, 1, 2, 32 Let j(q) = -12*q**4 + 24*q**3 - 60*q**2 - 32*q + 64. Let s(i) = -i**4 - i**3. Let o(g) = j(g) - 8*s(g). Factor o(d). -4*(d - 4)**2*(d - 1)*(d + 1) Suppose -14660*r + 14705*r - 44 = 46. Suppose -50/9 + 20/9*n - 2/9*n**r = 0. What is n? 5 Factor 4107 + 3/4*h**3 - 441/4*h**2 + 3996*h. 3*(h - 74)**2*(h + 1)/4 Let x = -3715117/2 - -1857559. Determine m so that -x*m + 2/3 - 13/6*m**2 + 1/6*m**3 + 3/2*m**4 + 1/3*m**5 = 0. -4, -1, 1/2, 1 Let w = -688 + 552. Let o = w - -138. Factor -5/4*y**3 - 3/4*y**4 + 3/4*y**o + 1/4*y**5 + 0 + y. y*(y - 4)*(y - 1)*(y + 1)**2/4 Let t be 147/(-343) - 190/(-84). Determine x, given that t*x**3 + 0 + 2*x**2 + 2/3*x + 1/2*x**4 = 0. -2, -1, -2/3, 0 Suppose 16*y = 26*y + 3*y. Let u(v) be the third derivative of -14*v**2 + y*v + 1/12*v**3 + 1/40*v**5 + 0 - 1/16*v**4 - 1/240*v**6. Factor u(p). -(p - 1)**3/2 Let y(d) = 25*d**3 + 12*d**2 - 102*d - 40. Let b(c) = 25*c**3 + 13*c**2 - 77 - 39*c + 37 - 96*c + 32*c. Let g(l) = 2*b(l) - 3*y(l). Factor g(q). -5*(q - 2)*(q + 2)*(5*q + 2) Let a(u) be the first derivative of 54*u + 1/12*u**4 + 20/9*u**3 + 39/2*u**2 + 231. What is w in a(w) = 0? -9, -2 Let t(a) be the second derivative of -a**4/18 - 13*a**3/3 - 380*a**2/3 + 7*a - 42. Factor t(p). -2*(p + 19)*(p + 20)/3 Suppose -1454/15*f - 2/15*f**4 - 224/5 - 38/5*f**3 - 298/5*f**2 = 0. What is f? -48, -7, -1 Find x such that 16*x**3 - 1312*x**2 + 8*x + 654*x**2 - 4*x**4 + 638*x**2 = 0. 0, 1, 2 Let s(k) be the first derivative of k**3/6 + 49*k**2/2 - 1443*k/2 + 7845. Factor s(a). (a - 13)*(a + 111)/2 Let i be (-948)/(-632)*(-2)/(-15) - (-19)/5. Factor 3*k**3 + 0 + 0*k - 18/7*k**2 - 3/7*k**i. -3*k**2*(k - 6)*(k - 1)/7 Factor 55*o**3 - 3 - 72*o**5 - 35*o**3 + 15*o**4 + 3*o**2 + 67*o**5 - 83*o**2 + 83. -5*(o - 2)**3*(o + 1)*(o + 2) Let s be (-13)/(-3) - (3 + 24/(-9)). Suppose 16 = 5*l - s. Find n, given that -l - 6 + 40*n**2 - 25*n**5 + 0*n + 0 - 110*n**3 + 15*n + 90*n**4 = 0. -2/5, 1 Let c(f) be the third derivative of 0*f + 0*f**4 + 0*f**3 + 0*f**5 + 210 - 1/160*f**6 + 1/280*f**7 - f**2. Factor c(q). 3*q**3*(q - 1)/4 Let t be 35/(-14)*2 + (-946)/(-135) + -2. Let w(h) be the second derivative of -11*h - 1/27*h**3 + 0 - t*h**6 + 1/90*h**5 + 1/54*h**4 + 0*h**2. Factor w(x). -2*x*(x - 1)**2*(x + 1)/9 Let n = 5728/71 + -14273/213. Find v such that 1/3*v**2 + n*v + 40/3 = 0. -40, -1 Solve 750 - 1405*b**2 + 3670*b**2 + 3740*b - 1485*b + 5*b**4 + 765*b**3 = 0. -150, -1 Let n(r) be the second derivative of -r**4/4 + 35*r**3/2 - 10*r + 81. Factor n(q). -3*q*(q - 35) Let s(r) = -7*r**4 - 73*r**3 - 197*r**2 - 191*r - 64. Let y(l) = 48*l**4 + 510*l**3 + 1377*l**2 + 1335*l + 447. Let z(b) = -27*s(b) - 4*y(b). Factor z(n). -3*(n + 1)**3*(n + 20) Let w(d) be the first derivative of -d**4/12 + 44*d**3/3 - 377*d**2/6 - 430*d + 5954. Factor w(p). -(p - 129)*(p - 5)*(p + 2)/3 Suppose -27313 = 53*z - 27419. Determine b, given that -20/9*b**z - 20/9*b**3 - 2/9*b**5 - 10/9*b - 2/9 - 10/9*b**4 = 0. -1 Suppose 0 = 83*c - 85*c + 8. Suppose -3*o - 10 = -5*m, -c*o - 4*m + 10 = m. Factor 0 - 8/3*u**3 + 0*u**2 + 4/3*u**5 - 4/3*u**4 + o*u. 4*u**3*(u - 2)*(u + 1)/3 Let n(x) be the third derivative of x**7/945 - 7*x**6/540 + 17*x**5/270 - 17*x**4/108 + 2*x**3/9 + 571*x**2. Factor n(m). 2*(m - 3)*(m - 2)*(m - 1)**2/9 Suppose 5*c + 12*o - 7*o + 15 = 0, -3*c + o + 11 = 0. Factor -c*k**2 + 60*k**3 + 7 - 7 - 8*k - 59*k**3. k*(k - 4)*(k + 2) Suppose -7*d - t = -4*d - 27, -2*d - 2*t = -18. Let v be 172/(-36) + d - 4. Let v*p**2 - 4/9*p - 2/3 = 0. What is p? -1, 3 Let m = 19368 - 96806/5. Factor 289/5 + m*l + 1/5*l**2. (l + 17)**2/5 Let n(v) be the second derivative of v**8/36960 - v**7/6930 + v**6/3960 - 15*v**4/2 - 68*v + 2. Let r(m) be the third derivative of n(m). Factor r(b). 2*b*(b - 1)**2/11 Let b(h) be the second derivative of h + 0*h**5 + 0*h**3 - 12 + 1/4*h**4 + 0*h**2 - 1/10*h**6. Find k such that b(k) = 0. -1, 0, 1 Let k(p) = 5*p - 262. Let t(i) = -4*i + 261. Let m(v) = -7*k(v) - 6*t(v). Let s be m(24). Factor 2/5*b**3 - 2/5*b + b**2 + 0 - b**s. -b*(b - 1)*(b + 1)*(5*b - 2)/5 Let i = -47 - -174. Suppose 128*f - i*f + 1 = -3*y, -5*y = 5*f + 5. Determine k so that y + k**3 + 1/2*k**4 - k - 1/2*k**2 = 0. -2, -1, 0, 1 Let o = -349685 - -349685. Let 5/2*w**2 + 1/4*w**5 + o + 3/2*w**4 + 3*w**3 + 3/4*w = 0. Calculate w. -3, -1, 0 Let c(a) be the first derivative of 3*a**4/8 - 25*a**3 + 561*a**2 - 4356*a - 1252. Factor c(f). 3*(f - 22)**2*(f - 6)/2 Let t = 237 - 363. Let h be ((-21)/t)/((-5)/(-60)). Suppose -1/2 + i - 1/2*i**h = 0. What is i? 1 Determine t so that 1/2*t**4 + 5/2*t**3 - 1/2*t**5 - 2 - 1/2*t*
{ "pile_set_name": "DM Mathematics" }
the nearest to 0 in 75, 0.1, -5? 0.1 What is the nearest to 0.1 in -0.1, -4, 17, -0.3? -0.1 What is the closest to 112 in -3/7, -0.1, -2/13? -0.1 What is the closest to -8/3 in 4, -1, 0, -5? -1 Which is the nearest to -1? (a) -0.5 (b) 3 (c) 1.4 (d) 0.1 a What is the nearest to 0 in 2/9, -34, 4, -8? 2/9 What is the closest to -3 in 1, 0.5, -16/9, 8? -16/9 Which is the nearest to 1/2? (a) -2/3 (b) 2 (c) -2/13 (d) -4 c Which is the closest to 0.041? (a) -0.4 (b) -5 (c) 1.2 (d) 3 a Which is the closest to -53? (a) 4 (b) 2/9 (c) -4 (d) 5 c What is the closest to 1/3 in -2, 10, 21? -2 Which is the nearest to -2? (a) 0.31 (b) 2 (c) 0 c Which is the nearest to 1/4? (a) 16 (b) 6 (c) 0.1 c What is the closest to 0.3 in 5, 0, -2, 23? 0 Which is the nearest to -3? (a) -6 (b) 5 (c) 13/4 a What is the nearest to 3/4 in 5, 0.2, 0.088, 2/5? 2/5 Which is the closest to 19/21? (a) -2 (b) -0.5 (c) -0.4 (d) -1/3 d Which is the nearest to 0.1? (a) -3 (b) -5 (c) 105 (d) 2 d Which is the closest to -4? (a) 3/5 (b) 3 (c) -3 (d) 5 c Which is the closest to 0? (a) -4 (b) -1 (c) -1429 b What is the nearest to -3/2 in 1, 0.4, -2/9, -2/15? -2/9 Which is the closest to -1? (a) 2 (b) 42 (c) -5/2 (d) 4 c Which is the nearest to 4? (a) 0.03 (b) 0.2 (c) -2/9 (d) 1/7 b What is the nearest to 2 in -12, -0.21, -0.4, -1/3? -0.21 What is the nearest to 1 in -10, -1/4, -5? -1/4 Which is the closest to 0? (a) 0.4 (b) 171 (c) 3/5 (d) 2/9 d What is the nearest to -2/15 in 50, -0.4, -2/3, 0.2? -0.4 What is the nearest to -0.2 in -0.119, -2/19, -1/2, -0.1? -0.119 What is the closest to 0.7 in 1/10, -2, 0.01? 1/10 Which is the closest to 2? (a) 4 (b) -5 (c) 8/11 (d) 0.4 c What is the nearest to -1/2 in 0.5, 0, -16? 0 What is the nearest to -2/7 in 0.2, 5, 1, 0.09? 0.09 What is the closest to 0.1 in 17.7, -2/7, -1/2, 1/4? 1/4 What is the nearest to 2/3 in 1, -25, 0.09, 3? 1 What is the closest to 2 in 1, -15, -18, 2? 2 What is the nearest to 1 in -1/6, 0.08, 0.4, 2? 0.4 What is the closest to -111 in 1, 0.1, -1, 0.5? -1 What is the closest to 1 in -0.5, 1, -52, -0.3? 1 What is the nearest to 3 in -2, 2/11, -5? 2/11 Which is the nearest to -0.05? (a) -0.1 (b) -7 (c) 4/7 a Which is the closest to 1? (a) 2 (b) -1 (c) 4/5 (d) 0.5 c Which is the nearest to -0.3? (a) 4 (b) -3 (c) -0.5 (d) 43 c Which is the closest to -1/202? (a) -3/7 (b) -1/4 (c) 3 (d) 10 b Which is the nearest to 59.8? (a) 0.3 (b) 0.1 (c) 5/2 c What is the closest to -4/3 in 0.2, -1/13, -3/5? -3/5 Which is the closest to 0? (a) -4 (b) -404 (c) -5 (d) -0.5 d What is the closest to -1 in -17, -5, -0.2? -0.2 What is the closest to -2/3 in 0, -6, -7/6, 0.5? -7/6 Which is the closest to 1? (a) 12/11 (b) -0.3 (c) -4/3 a Which is the nearest to 1/4? (a) 3 (b) -0.5 (c) 0.02 (d) 0 c What is the closest to 1/11 in -5, -2, 0? 0 Which is the closest to -1/3? (a) -2 (b) 0.4 (c) -1/6 (d) -2/27 c What is the nearest to -1 in 4, 3, -1? -1 What is the nearest to -0.1 in -0.119, 1, 2, -2/3? -0.119 Which is the closest to -1? (a) 0.5 (b) 3 (c) -1/3 (d) 0 c Which is the nearest to 72? (a) 0.4 (b) 0.2 (c) -5 a What is the closest to 0 in -0.12, -2, -5? -0.12 Which is the closest to -9/20? (a) 0.2 (b) -5 (c) -1 c What is the closest to 1 in 640, 1, -1? 1 Which is the nearest to 0.02? (a) 0.5 (b) 1/4 (c) -5 (d) 0.2 d What is the nearest to 44 in -5, 0.3, -4? 0.3 What is the nearest to 0.1 in -8, -5, 3, 11? 3 What is the closest to 2 in 1/3, -43, -0.05, -5? 1/3 Which is the closest to 3/2? (a) 0.2 (b) -0.01 (c) 0.3 c What is the closest to -2/7 in -0.1, -38, -4, 3/7? -0.1 Which is the closest to 0.1? (a) -5 (b) 3/14 (c) -62 b Which is the nearest to 2/3? (a) 1/4 (b) -3 (c) 0.2 a Which is the nearest to 0? (a) -2/9 (b) -6/11 (c) 2 (d) -1/5 d Which is the nearest to 0.7? (a) 4 (b) -4 (c) -0.2 c What is the nearest to 1/3 in 0.2, -6, 3, -0.4? 0.2 What is the closest to 0.1 in -1/4, 1/6, -102, -1? 1/6 Which is the closest to 7? (a) 1 (b) -0.2 (c) -2/3 a Which is the nearest to 0.2? (a) -0.1 (b) -0.4 (c) 114 a What is the nearest to -0.2 in -50, 0.3, 4, -1/4? -1/4 Which is the nearest to -1? (a) 2 (b) 4 (c) -3 (d) -5/3 d What is the closest to 1/3 in 5, -10/13, -0.4? -0.4 What is the closest to -2 in -0.1, 8, -1/13, -0.4? -0.4 What is the closest to -1 in -4/7, 1, 0, 4? -4/7 Which is the closest to -6/19? (a) 30.2 (b) 2/13 (c) 2 b Which is the closest to -1? (a) -3/4 (b) 0.1 (c) -1/2 (d) 0.3 a Which is the closest to -1? (a) 0 (b) -0.581 (c) -5 (d) -4 b What is the nearest to -1/4 in 2, 0.2, -4/3? 0.2 What is the closest to -0.3 in 1, 4, -3? 1 What is the nearest to -2/3 in -2/13, -1.04, -2/3? -2/3 What is the closest to 0.1 in 1/2, -0.2, -5, 3? -0.2 Which is the nearest to -24? (a) 0.3 (b) -0.2 (c) 0.7 b Which is the closest to 0.3? (a) -3/10 (b) -0.4 (c) -0.1 c Which is the nearest to 0? (a) -45 (b) -0.4 (c) -4 (d) 3/7 b What is the nearest to -2 in 4, 0.2, 0.037? 0.037 What is the nearest to 3/7 in 69, 0, 4, 2? 0 What is the nearest to -2/5 in 3.1, -58, 3? 3 What is the nearest to -0.1 in -2, 1/3, 8/7, 0.005? 0.005 Which is the closest to 2/3? (a) 3 (b) -2/45 (c) 2/3 c What is the closest to 0.2 in 0.4, 3/7, -25/13? 0.4 Which is the closest to 0.41? (a) -0.5 (b) -0.2 (c) 0.5 (d) 0 c Which is the closest to 0.1? (a) 6 (b) -0.2 (c) -8 (d) 1/3 d Which is the nearest to 0.1? (a) -5 (b) 0.2 (c) 5 (d) -6 b Which is the nearest to -0.1? (a) -2/11 (b) 1/3 (c) -8.9 (d) 0 a Which is the closest to 1/17? (a) 5/9 (b) 3 (c) -1 a What is the nearest to -2/7 in -0.3, 3/2, -10? -0.3 Which is the closest to 1/4? (a) 3 (b) -6 (c) -56/3 a What is the nearest to 9 in 1/4, -0.3, -643? 1/4 What is the nearest to -1.5 in -4, 6.8, -0.3? -0.3 What is the nearest to -2/9 in 0.4, -0.2, 0, 1/16? -0.2 What is the closest to 0.3 in -5, -19/6, 1/2? 1/2 What is the closest to 1 in 0.5, -6, 4, -5? 0.5 What is the closest to 1/2 in 0.1, 1, 2/3? 2/3 Which is the closest to 0? (a) 1/3 (b) 1 (c) 7/3 (d) -2 a What is the nearest to 1/2 in -2, 0.5, -4? 0.5 Which is the closest to 2/3? (a) 0 (b) 2/47 (c) -2/3 b Which is the nearest to 2? (a) 0.5 (b) -1 (c) 2 c What is the closest to -1 in 0.4, 2/3, -71, 0? 0 Which is the nearest to -1/3? (a) -3/4 (b) 3/14 (c) -2/23 c Which is the closest to 0.5? (a) 0.5 (b) -1 (c) -4 a What is the closest to -0.1 in -1/2, -4, -0.268? -0.268 What is the closest to -47 in 0.3, 2/7, 37? 2/7 Which is the nearest to -2? (a) -4 (b) 1/3 (c) -72/11 a What is the nearest to -2/9 in -1/9, 0.5, 36, 0? -1/9 What is the nearest to 0 in 4, -48, 5? 4 Which is the closest to 0? (a) -0.2 (b) -3/5 (c) -2 (d) -1 a What is the nearest to 2/7 in 4, -0.2, 41/6? -0.2 Which is the closest to 0.4? (a) 0.3 (b) -0.3 (c) 5 (d) 1/4 a What is the closest to 2/5 in 1/4, 4/39, 6, -2? 1/4 Which is the nearest to -0.4? (a) 0 (b) 1/4 (c) -3/7 c Which is the closest to 0? (a) -2 (b) 0 (c) -3 (d) 374 b What is the closest to 22 in -3, -4, 4? 4 Which is the nearest to 3/10? (a) -0.82 (b) -4 (c) 5 a What is the nearest to -1/2 in 2, 4, -0.4, -0.041? -0.4 What is the nearest to -0.02 in 14, -1/4, 0, -2? 0 What is the closest to 13 in 0.2, -3, 2, 0.1? 2 Which is the closest to 1/3? (a) 12 (b) -1/2 (c) -2/11 c What is the nearest to -3/5 in -1, -8/5, 2/3? -1 What is the nearest to 0.1 in 0.3, 7, 4, -1? 0.3 What is the closest to -1.6 in 0.16, 0.2, -0.2, 0.3? -0.2 What is the closest to 6 in 3, -1, -2/9, 1/4? 3 Which is the closest to 0? (a) 5 (b) 1/2 (c) 495 b Which is the closest to -3? (a) -24 (b) 0.2 (c) -2/5 (d) 5/3 c Which is the nearest to -0.1? (a) 0.4 (b) -0.3 (c) 0.2 (d) 0.63 b What is the nearest to 0 in 484, 2, 0.4, -4? 0.4 Which is the closest to 2.3? (a) 1 (b) 0 (c) -0.27 a Which is the nearest to 5/11? (a) -2/15 (b) -0.4 (c) -0.2 a Which is the closest to -0.2? (a) 0.3 (b) -0.6 (c) 0.5 b What is the closest to 4 in -4, -0.2, -0.9? -0.2 Which is the nearest to 1/2? (a) -208 (b) 4 (c) 2/11 c What is the closest to 2/7 in -3/5, -0.2, 0, 0.1? 0.1 Which is the nearest to 3? (a) 0.5 (b) 4 (c) -14 b What is the nearest to 5 in 0.4, -4/5, 12, 0.3? 0.4
{ "pile_set_name": "DM Mathematics" }
and 10:58 PM? 526 What is 235 minutes after 8:06 AM? 12:01 PM What is 52 minutes after 2:15 PM? 3:07 PM How many minutes are there between 10:13 AM and 8:47 PM? 634 How many minutes are there between 12:28 AM and 6:41 AM? 373 How many minutes are there between 3:52 PM and 7:06 PM? 194 What is 432 minutes before 3:13 AM? 8:01 PM How many minutes are there between 3:55 PM and 8:58 PM? 303 How many minutes are there between 12:34 PM and 7:08 PM? 394 How many minutes are there between 11:50 PM and 10:29 AM? 639 What is 418 minutes after 4:36 AM? 11:34 AM What is 400 minutes before 11:53 PM? 5:13 PM How many minutes are there between 9:30 PM and 4:09 AM? 399 How many minutes are there between 5:56 PM and 11:55 PM? 359 How many minutes are there between 3:41 PM and 4:33 PM? 52 What is 313 minutes before 12:12 AM? 6:59 PM How many minutes are there between 11:49 PM and 10:50 AM? 661 What is 44 minutes after 10:11 AM? 10:55 AM How many minutes are there between 11:58 PM and 11:14 AM? 676 How many minutes are there between 9:27 PM and 4:21 AM? 414 What is 636 minutes before 7:40 PM? 9:04 AM How many minutes are there between 10:42 PM and 2:40 AM? 238 How many minutes are there between 1:59 AM and 10:20 AM? 501 How many minutes are there between 9:46 AM and 10:19 AM? 33 How many minutes are there between 12:13 PM and 6:24 PM? 371 What is 231 minutes before 9:07 PM? 5:16 PM What is 244 minutes after 9:26 PM? 1:30 AM What is 123 minutes before 9:25 PM? 7:22 PM What is 132 minutes after 6:32 PM? 8:44 PM How many minutes are there between 10:39 PM and 3:42 AM? 303 How many minutes are there between 1:20 PM and 6:57 PM? 337 How many minutes are there between 10:31 PM and 8:01 AM? 570 What is 359 minutes after 1:52 AM? 7:51 AM What is 158 minutes before 8:22 PM? 5:44 PM What is 337 minutes before 9:23 PM? 3:46 PM What is 492 minutes before 4:20 PM? 8:08 AM What is 630 minutes before 9:02 AM? 10:32 PM What is 592 minutes after 10:21 AM? 8:13 PM How many minutes are there between 6:39 PM and 2:33 AM? 474 How many minutes are there between 4:44 PM and 2:40 AM? 596 What is 714 minutes before 4:05 PM? 4:11 AM What is 173 minutes after 3:15 AM? 6:08 AM What is 321 minutes after 11:23 PM? 4:44 AM How many minutes are there between 2:52 AM and 7:57 AM? 305 How many minutes are there between 6:05 PM and 1:15 AM? 430 How many minutes are there between 7:34 AM and 9:29 AM? 115 How many minutes are there between 2:30 AM and 2:12 PM? 702 How many minutes are there between 7:52 PM and 10:20 PM? 148 How many minutes are there between 10:20 AM and 8:59 PM? 639 What is 240 minutes after 2:07 AM? 6:07 AM How many minutes are there between 10:43 AM and 10:11 PM? 688 What is 707 minutes after 10:01 AM? 9:48 PM What is 160 minutes before 4:26 AM? 1:46 AM What is 596 minutes after 1:18 PM? 11:14 PM How many minutes are there between 3:00 PM and 7:11 PM? 251 How many minutes are there between 11:20 AM and 9:47 PM? 627 How many minutes are there between 6:54 AM and 3:19 PM? 505 What is 710 minutes before 8:07 AM? 8:17 PM What is 289 minutes after 9:12 AM? 2:01 PM What is 82 minutes after 8:42 AM? 10:04 AM How many minutes are there between 8:33 PM and 1:29 AM? 296 What is 102 minutes after 7:54 AM? 9:36 AM How many minutes are there between 3:42 AM and 4:53 AM? 71 What is 117 minutes after 12:15 PM? 2:12 PM How many minutes are there between 6:43 PM and 1:29 AM? 406 What is 682 minutes before 7:20 PM? 7:58 AM What is 76 minutes after 6:56 PM? 8:12 PM How many minutes are there between 7:02 PM and 9:42 PM? 160 How many minutes are there between 2:12 AM and 12:01 PM? 589 How many minutes are there between 2:16 PM and 7:26 PM? 310 How many minutes are there between 12:50 AM and 11:54 AM? 664 How many minutes are there between 7:13 AM and 2:25 PM? 432 How many minutes are there between 3:12 PM and 3:22 PM? 10 What is 564 minutes after 10:31 AM? 7:55 PM What is 414 minutes after 6:49 PM? 1:43 AM What is 709 minutes before 7:38 PM? 7:49 AM What is 481 minutes after 5:02 PM? 1:03 AM How many minutes are there between 7:18 PM and 3:28 AM? 490 What is 309 minutes before 1:18 AM? 8:09 PM What is 620 minutes before 1:52 AM? 3:32 PM How many minutes are there between 11:06 AM and 9:15 PM? 609 How many minutes are there between 9:28 PM and 10:59 PM? 91 What is 321 minutes after 8:37 AM? 1:58 PM How many minutes are there between 6:37 AM and 11:37 AM? 300 What is 243 minutes after 9:28 PM? 1:31 AM How many minutes are there between 7:58 AM and 8:04 AM? 6 How many minutes are there between 3:00 AM and 8:44 AM? 344 How many minutes are there between 4:40 AM and 6:57 AM? 137 What is 669 minutes after 4:16 AM? 3:25 PM How many minutes are there between 4:45 AM and 11:44 AM? 419 What is 546 minutes before 9:46 PM? 12:40 PM How many minutes are there between 1:57 AM and 6:11 AM? 254 What is 296 minutes after 11:29 AM? 4:25 PM What is 406 minutes before 2:14 PM? 7:28 AM How many minutes are there between 11:16 PM and 10:37 AM? 681 How many minutes are there between 10:39 PM and 12:51 AM? 132 What is 612 minutes after 11:41 PM? 9:53 AM How many minutes are there between 4:05 AM and 10:44 AM? 399 How many minutes are there between 8:48 PM and 8:35 AM? 707 What is 166 minutes after 3:05 AM? 5:51 AM How many minutes are there between 8:39 AM and 3:29 PM? 410 What is 304 minutes after 3:54 AM? 8:58 AM What is 445 minutes before 11:08 PM? 3:43 PM What is 244 minutes before 8:34 PM? 4:30 PM What is 152 minutes after 9:10 AM? 11:42 AM What is 173 minutes after 4:40 AM? 7:33 AM How many minutes are there between 5:45 PM and 10:38 PM? 293 How many minutes are there between 9:33 PM and 11:04 PM? 91 What is 687 minutes after 3:22 AM? 2:49 PM What is 678 minutes after 8:34 PM? 7:52 AM What is 410 minutes after 5:11 AM? 12:01 PM How many minutes are there between 3:57 AM and 3:51 PM? 714 What is 707 minutes before 9:04 AM? 9:17 PM What is 597 minutes after 11:22 PM? 9:19 AM How many minutes are there between 3:16 AM and 10:02 AM? 406 What is 470 minutes after 1:41 PM? 9:31 PM How many minutes are there between 12:50 AM and 11:14 AM? 624 How many minutes are there between 1:13 AM and 6:02 AM? 289 What is 92 minutes before 6:28 PM? 4:56 PM What is 456 minutes before 5:46 AM? 10:10 PM What is 102 minutes after 4:01 PM? 5:43 PM What is 11 minutes after 12:36 PM? 12:47 PM What is 48 minutes after 2:52 PM? 3:40 PM How many minutes are there between 3:14 PM and 1:55 AM? 641 What is 505 minutes before 8:21 AM? 11:56 PM How many minutes are there between 2:34 PM and 12:57 AM? 623 What is 419 minutes after 6:29 PM? 1:28 AM What is 639 minutes after 2:54 PM? 1:33 AM What is 132 minutes after 8:04 AM? 10:16 AM What is 400 minutes before 4:31 AM? 9:51 PM What is 48 minutes after 3:28 PM? 4:16 PM What is 104 minutes before 8:06 PM? 6:22 PM How many minutes are there between 5:17 PM and 2:35 AM? 558 How many minutes are there between 4:00 AM and 3:54 PM? 714 What is 496 minutes after 6:59 AM? 3:15 PM How many minutes are there between 1:46 PM and 12:06 AM? 620 How many minutes are there between 5:20 AM and 10:43 AM? 323 What is 406 minutes before 12:53 PM? 6:07 AM How many minutes are there between 12:23 PM and 12:22 AM? 719 What is 166 minutes before 1:57 AM? 11:11 PM How many minutes are there between 5:32 PM and 3:52 AM? 620 How many minutes are there between 6:29 AM and 2:02 PM? 453 How many minutes are there between 11:34 PM and 9:51 AM? 617 How many minutes are there between 2:31 AM and 12:56 PM? 625 How many minutes are there between 3:56 PM and 3:39 AM? 703 What is 564 minutes before 10:50 PM? 1:26 PM How many minutes are there between 11:05 AM and 8:18 PM? 553 How many minutes are there between 4:50 AM and 7:28 AM? 158 How many minutes are there between 12:33 AM and 6:59 AM? 386 What is 371 minutes after 2:43 PM? 8:54 PM How many minutes are there between 4:33 PM and 8:28 PM? 235 How many minutes are there between 3:08 PM and 2:36 AM? 688 How many minutes are there between 12:13 PM and 9:41 PM? 568 How many minutes are there between 10:47 PM and 4:24 AM? 337 How many minutes are there between 1:08 AM and 1:12 AM? 4 What is 373 minutes before 8:15 AM? 2:02 AM How many minutes are there between 1:32 AM and 9:57 AM? 505
{ "pile_set_name": "DM Mathematics" }
- 20. Let a be j(y). Let p = 24 + a. What is the units digit of p? 1 Let s(p) be the first derivative of -3*p**2 - p + 4. What is the units digit of s(-2)? 1 Let q(l) = -l**3 - 7*l**2 - 8*l + 4. Let b be q(-6). Let g = -11 + b. Suppose 2*p = 11 + g. What is the units digit of p? 8 Suppose -2*g + 4 + 22 = 0. Let n = g - 9. What is the units digit of n? 4 Let x(f) = 6*f**2 + f + 1. Let z be x(2). Let m = -18 + z. What is the units digit of m? 9 Let m be (-4)/6 + (-105)/(-9). What is the units digit of 4 + -6 - m*-1? 9 Let b(f) = -f**2 - 4*f. Let c be b(-4). Suppose 5*m - 5*j = 70, c*j - 54 = -5*m + j. What is the tens digit of m? 1 Suppose n - 25 - 50 = 4*w, -471 = -5*n - 4*w. What is the tens digit of n? 9 Let d be (-52)/3 - 2/3. Let n be 370/45 + 4/d. Let f(b) = 2*b - 8. What is the units digit of f(n)? 8 Let q be (-3)/(-3 + 0)*2. Let i(o) = 8*o + 1. What is the tens digit of i(q)? 1 Let u = -34 - -23. Let r = 18 + u. What is the units digit of r? 7 Suppose 0 = 2*t - 306 - 134. Let x be t/6 + 4/(-6). Suppose -3*s = -0*s - x. What is the units digit of s? 2 Suppose 2*u + 2 - 12 = 0. Let p be u*10/2*1. Suppose -6*l + p = -2*l + 5*h, -47 = -5*l - h. What is the tens digit of l? 1 Suppose -66 = 3*d + 9. Let n = -17 - d. What is the units digit of n? 8 Suppose 2*r - 12 = -4*r. Suppose -2 = -r*z + 6. What is the units digit of z? 4 Suppose 0 = -5*p - 10, -3*p + 42 = 2*u + u. Let z = 26 - u. Suppose -2*v - b + z = -23, -5*v + b + 86 = 0. What is the tens digit of v? 1 Let t(x) = 6*x**2. What is the units digit of t(-1)? 6 Suppose 2*w = -3*c - 8, -4 = -w + 3*c + 10. Suppose -w*l + 19 = -25. Let s = l + -10. What is the tens digit of s? 1 Let z = 5 + 0. Let a be z - (-2 - -1 - -1). Suppose -a*m - 13 = -4*g + 10, 2*m = -4*g + 2. What is the units digit of g? 2 Let i(d) = -2*d**2 + d + 6. Let g(r) = 3*r**2 - r - 11. Let o(f) = -3*g(f) - 5*i(f). Let a be o(2). What is the units digit of -2 - 1/(a/(-27))? 7 Let l be 1/5 + (-9)/(-5). Suppose -6 = -5*c - t + 5, 5*c - l*t = 8. Suppose 4*n - 2*n - c = 0. What is the units digit of n? 1 Let r(g) = -3*g + 3. What is the units digit of r(-4)? 5 Suppose 7*j - j = 696. What is the units digit of j? 6 Suppose 2*w + 18 = -2*c - 0*w, -4*w - 8 = -3*c. Let f be (-27)/(-6) + (-2)/c. Suppose 0*u - 3*u + 66 = f*m, 5*m - 3*u - 54 = 0. What is the tens digit of m? 1 Suppose -130 - 86 = -8*k. What is the tens digit of k? 2 Let h(n) = -n**3 + 10*n**2 - 7*n + 13. What is the units digit of h(9)? 1 Let q(h) = -h**2 + 12*h - 15. What is the units digit of q(10)? 5 Let k(t) = 4*t**2 + 6*t - 1. What is the tens digit of k(-5)? 6 Suppose -2*c = 3*c - 40. Suppose 3*s - 55 - c = 0. What is the tens digit of s? 2 Suppose -2*y + 6*y = 48. What is the tens digit of y? 1 Suppose -2*o + 4 = -0*o. Suppose o*n - 5*n + 36 = 0. What is the tens digit of n? 1 Let f(a) = 27*a**2 + 2*a + 1. Let j be f(-1). Suppose 3*u - 241 = -46. Suppose 4*z + u = 5*o, 5*z - 3*z + j = 2*o. What is the units digit of o? 3 What is the tens digit of -9*(5 + (-352)/12)? 1 Let j be (-9)/(-6)*4/3. Suppose -3*y = j*m - 39, 40 = 4*y - m - 12. What is the units digit of y? 3 Let y be 258/6 + -2*1. Let o = y + -21. What is the tens digit of o? 2 Let u = 1 - -3. Suppose -u*s + 200 = -0*s. Suppose s = 4*f + 18. What is the units digit of f? 8 Let n(t) = 2*t + 7. Suppose 0 = 3*o - 11 + 2. What is the tens digit of n(o)? 1 Let q(i) = -2*i + i + 4 - 2. Let n = -13 - -7. What is the units digit of q(n)? 8 Let m(q) = -q + 3*q + 9 - 1. What is the tens digit of m(4)? 1 Let p be (46/(-4))/((-2)/4). Suppose 5*k = 4*v - 9*v + 60, 3*k = -2*v + p. What is the tens digit of v? 1 Let g = 0 + 3. Suppose 10 = -3*u - t + g, 2*t = -2. What is the units digit of u - (1/(-1) + -3)? 2 Suppose 4*s - 6*s = 0. Let z(l) = -2*l**3 + 2*l**2 + l + 2. Let o be z(-2). Suppose 2*b + b - o = s. What is the units digit of b? 8 Suppose -b = -3*t - 200, -85 = -3*b + 4*t + 530. What is the hundreds digit of b? 2 Suppose 4*v = -v - 60. Let x = -27 - v. Let h = -11 - x. What is the units digit of h? 4 Let z(x) be the second derivative of x**4/12 - x**3 + x**2/2 - 3*x. What is the units digit of z(7)? 8 Suppose 4*f + 11 = -q, -3*f + q - 2 = 3*q. Let w = 1 + f. Let b(r) = r**3 + 4*r**2 + 4*r + 4. What is the units digit of b(w)? 1 Let u(k) = 4*k**2 + k + 1. Let o = -7 - -5. Let f be o/4 - (-4)/(-8). What is the units digit of u(f)? 4 Let h be -12*(4/(-3))/4. Suppose -10 = b - v - 4*v, -5*b - v = -54. Let d = b - h. What is the units digit of d? 6 Let f be (1 - -15)/(8 - 6). What is the tens digit of 86/6 - f/(-12)? 1 Suppose -3*b - 141 = -1254. What is the tens digit of b? 7 Suppose 13 + 2 = 5*x. Suppose 3*v = -3*q + 33, -x*q - 38 = -2*v - 6. What is the tens digit of v? 1 Let y be -65 + (-1 - 1*-3). Let o = y + 30. What is the units digit of 3/12 - o/12? 3 Suppose 0 = n + 4*b - 13, -n - 3 = 2*n - 2*b. Suppose 5*x = -3*q - 8, -q - 3 - n = 3*x. Let v = x - -3. What is the units digit of v? 2 Let b = -3 + 5. Let w(o) = 2*o**3 - 24 - o + 0*o**3 + 45 - 2*o**2 - 23. What is the units digit of w(b)? 4 Let q(i) = i**2 + i + 1. Let g be q(-1). Let r be g + -4 - 15/1. What is the units digit of (r/(-5))/((-10)/(-25))? 9 Let x = 22 - -34. What is the tens digit of x? 5 What is the tens digit of (4/(48/(-9)))/(1/(-48))? 3 What is the tens digit of ((-86)/10)/1*-5? 4 Let b(d) = -d**3 + d**2 - d + 2. Let l be b(0). Suppose 3*t - l*t = 9. What is the units digit of t? 9 Suppose -11*g + 12*g = 82. What is the units digit of g? 2 Suppose 3*h + 69 = 3*g, -38 = -2*g - h + 5*h. Suppose 4*x + g = -13. What is the units digit of ((-16)/10)/(x/25)? 4 Let o = 5 + -3. Suppose 2*r = 5*u - 51, -o*r + 26 = -u + 3*u. What is the tens digit of u? 1 Let n(c) = -c**2 + c + 1. Let a(m) = m**3 - 11*m**2 + 11*m + 12. Let z = -5 - -1. Let t(p) = z*n(p) + a(p). What is the tens digit of t(6)? 1 Let v be -1 + 1 - (-1 + 4). Let p = v - -3. Suppose p = -2*o + 6. What is the units digit of o? 3 Let s(c) = -65*c - 4. What is the units digit of s(-3)? 1 Let r(b) be the second derivative of -b**4/12 + b**3/6 + b**2 + 3*b. Let q be r(0). What is the tens digit of q - 4/(12/(-33))? 1 Let v be ((-1)/(-2))/(2/28). Let z(q) = -q**2 - q. Let r be z(-2). Let l = v + r. What is the units digit of l? 5 Suppose -4*a = -2*s - 22, -2*a = 5*s + 6 + 1. Suppose -3*d + 5 + a = 0. What is the units digit of d? 3 Let c(p) = p**2 + p. Let w(m) = -3*m**2 - 8*m + 4. Let b(d) = 4*c(d) + w(d). What is the units digit of b(6)? 6 Suppose 0*c - 4 = -2*c. Suppose -p + 10 = c*r, p + 3*r + 5 = 2*p. What is the units digit of p? 8 Let x be 1/((-10)/(-28))*10. What is the units digit of (-21)/x*(-64)/2? 4 Suppose -12 = -2*s - 4. Let l be (2 + (-2)/s)*-2. Let h(o) = o**3 + 4*o**2 - o - 1. What is the units digit of h(l)? 1 Let s(j) = 2 + 2*j - 4*j + 3*j. What is the units digit of s(7)? 9 Let g(z) = 12*z**2 - z - 1. Let p be g(2). Suppose 5*s = 4*d + p, s = 3*s + 2*d. Suppose -2*h + 32 = 4*n - h, -s*n = -h - 31. What is the units digit of n? 7 Suppose -461 = -3*d - 5*s, -s + 196 = -3*d + 633. What is the hundreds digit of d? 1 Suppose 4 - 1 = 3*g. Let q = g - -3. Suppose -q*x = -2 - 2. What is the units digit of x? 1 Let i(z) = z**2 + 9*z - 7. Let m be i(-10). What is the units digit of (1 - (5 - m))*-11? 1 Let l(v) = 1 + 8 + 2*v - 3. Let p be l(6). Suppose -2*a + p = o, -a - 3 = -3*o + 2. What is the units digit of a? 7 What is the units digit of (-3 + 0)*1 - -24? 1 Suppose 0 = 8*p - 4*p - 8. What is the units digit of (5/2)/5*p? 1 Let f be (-153)/18 - 1/2. What is the units digit of 3*-1*96/f? 2 Let l be (3*-1)/((-15)/(-170)). Let f = -24 - l. What is the tens digit of f? 1 Suppose 15 = -o - 4*o. What is the tens digit of ((-39)/(2 + o))/3? 1 Suppose z = 2 - 4. Let h = z + 0. What is the units digit of 4 - (1 + h - -2)? 3 Let i be (-6)/(-27) + 29/(-9). Suppose 3*s + 0 - 22 = -2*u, s - u = 4. Let o = i + s. What is the units digit of o? 3 What is the tens digit of -4*(3 - 87/6)? 4 Let r(z) = -z + 14. Let t(v) = -1. Let b(s) = r(s) + t(s). What is the units digit of b(7)? 6 Suppose 0 = 5*r + 15, -4*y - y - 5*r + 15 = 0. Let c = -3 - y. What is the units digit of 6*(c/(-6) + 0)? 9 Let f(b) = -2*b**3 - 39*b**2 + 4*b + 15. What is the tens digit of f(-20)? 3 Let b(d) = -d + 3. Let l(
{ "pile_set_name": "DM Mathematics" }
2*0.04 -0.000048 What is -363 times 7? -2541 4 times -17.7 -70.8 -0.6*-2 1.2 Multiply -0.6198 and 0.3. -0.18594 Multiply -0.1 and 1.1. -0.11 -18 times -0.04 0.72 -1 times 84.3 -84.3 -10 times -589 5890 Product of -8 and 152. -1216 Work out 2.8 * -54. -151.2 0.02 times -0.038 -0.00076 What is the product of -2 and -52.6? 105.2 32*44 1408 -1.9 times 55 -104.5 Multiply -0.262 and 0.07. -0.01834 What is the product of -0.03 and -131? 3.93 Product of -61 and -5.1. 311.1 Calculate -16*0. 0 0.45 times -0.1 -0.045 Work out 0 * 5. 0 Product of 142 and -0.5. -71 What is the product of 1.3 and -0.29? -0.377 -0.04*-14 0.56 9.78 * -8 -78.24 0.15 times 0.01 0.0015 Multiply 0.4 and -2. -0.8 What is the product of -7059 and -0.2? 1411.8 What is the product of 0 and 0.094? 0 0.3 * 36 10.8 Calculate 516*-0.2. -103.2 Calculate 927*-0.5. -463.5 Calculate 5*-0.014. -0.07 -0.1 * -134 13.4 Calculate -12*1.6. -19.2 Calculate -10.2*0.17. -1.734 What is -0.3 times 3512? -1053.6 0.14 * -759 -106.26 Product of -30.97 and 4. -123.88 Multiply -0.6285 and 0.4. -0.2514 Calculate -0.027*26. -0.702 Work out 0.0532 * 4. 0.2128 Calculate 0.9*-1.1. -0.99 Product of 0.04784 and -3. -0.14352 0.3*-0.3 -0.09 Product of 14532 and 0.4. 5812.8 0.3*827 248.1 What is the product of -0.36 and 0.3? -0.108 -0.5 times -36 18 What is -0.3 times -0.1? 0.03 Work out 0.2 * -21.1. -4.22 What is 0.0089 times -0.1? -0.00089 What is the product of 1 and 106? 106 -3.5 times 248 -868 10 times 376 3760 Multiply 4 and 0.1699. 0.6796 Product of 0.17 and -20. -3.4 What is -0.8 times 2.37? -1.896 -10.7 * -0.09 0.963 Work out 0.4 * 45. 18 Calculate -2*3.47. -6.94 2.1*-2 -4.2 What is the product of -0.33 and 402? -132.66 What is the product of 0.3 and -21? -6.3 3 times 70.83 212.49 Calculate 89*2.6. 231.4 Multiply -0.06 and 22. -1.32 What is the product of 22 and -0.33? -7.26 -0.7 times -0.57 0.399 What is the product of -19 and 20? -380 -1.89*16 -30.24 Multiply -56541 and 1. -56541 Calculate -1*-48. 48 1588*-0.4 -635.2 -6 * -1363 8178 What is the product of -14 and -341? 4774 -0.367 times -3 1.101 Calculate -10*0.9. -9 -1873 * 0 0 What is the product of -368 and -0.4? 147.2 Calculate -153*0.5. -76.5 What is -47 times 0.4? -18.8 What is the product of 30 and 17? 510 What is the product of 1 and -0.84? -0.84 -281.2 times -5 1406 Work out 1 * 147. 147 -0.212 times -19 4.028 0.164 * 0.5 0.082 Work out 84 * -5. -420 What is 83.5 times 0.8? 66.8 -0.1 * -0.14 0.014 2*-234 -468 Product of 46 and -2. -92 0.05 * 99 4.95 What is -4 times -69? 276 What is 0.1 times 28.29? 2.829 What is -1 times 4945? -4945 Product of -410 and -0.5. 205 Work out -0.2 * -235. 47 Product of 0.6591 and 5. 3.2955 -8 times -44 352 Work out 0.01 * 2746. 27.46 What is -5 times 109? -545 What is the product of -2445 and -0.1? 244.5 -6.4*-0.1 0.64 -0.2 times 1.8 -0.36 What is 90 times 3? 270 Multiply -41 and -0.5. 20.5 0.455*-0.2 -0.091 What is -7 times 0.6? -4.2 -543 * 0.4 -217.2 Work out 0.5 * -0.87. -0.435 Product of -10 and -21.5. 215 What is the product of -116 and 3? -348 Work out -369 * 33. -12177 Work out -265 * -4. 1060 1704 times 0.07 119.28 What is 0.02 times 0.82? 0.0164 Calculate -0.01*0.3. -0.003 Multiply -3 and 887. -2661 -31*26.3 -815.3 Multiply -40 and -0.11. 4.4 Product of -4.1 and 0.1. -0.41 -62*-1.7 105.4 Product of 0.4 and 0.022. 0.0088 0.048 * 0.1 0.0048 Work out -113 * -0.5. 56.5 Work out 0 * -212. 0 2 * 21 42 Product of -0.9 and -0.342. 0.3078 0.576*0.3 0.1728 0.126 times 179 22.554 Multiply -85 and -0.1. 8.5 -0.3*181 -54.3 What is the product of 10558 and -5? -52790 What is 0.02098 times -4? -0.08392 -0.1 * 1358 -135.8 What is the product of 13 and 355? 4615 Multiply -0.2 and 1282. -256.4 -4 times -2 8 -23*-0.3 6.9 What is the product of -767 and -0.6? 460.2 Work out 0.8 * 123. 98.4 Work out 0.73 * 2. 1.46 -752*0.4 -300.8 -0.06 * 17.55 -1.053 Work out 0.2 * -0.407. -0.0814 Calculate 78*16. 1248 -0.35 times -4 1.4 Product of 0.021 and 21. 0.441 -0.6 * 1 -0.6 What is the product of -0.5 and -8.2? 4.1 What is -3 times -0.74? 2.22 -3740*0 0 0.3 times -2660 -798 21*48 1008 What is 0.7 times -15? -10.5 What is the product of 68 and -4? -272 Multiply -51 and 424. -21624 Multiply 1 and 2. 2 Product of -0.5 and -494. 247 Multiply 110 and 0.2. 22 What is the product of 3.7 and 53? 196.1 Calculate 0.11*-0.5. -0.055 Work out -39316 * 5. -196580 Work out 0.3 * -0.005. -0.0015 -1.1*71.6 -78.76 Work out 5 * 9.1. 45.5 What is the product of -37 and 0.19? -7.03 Calculate -0.34*-6. 2.04 Work out -808.5 * -5. 4042.5 Work out -3 * -0.584. 1.752 -1.1*-6.4 7.04 -0.4 * -0.128 0.0512 0.07 * -1.74 -0.1218 What is the product of -285 and -0.4? 114 Multiply 0.0073 and 15. 0.1095 What is 14 times -0.3? -4.2 What is -0.27 times -170? 45.9 What is -0.1 times 403? -40.3 Multiply -0.5 and 12.68. -6.34 231 times -0.4 -92.4 88.95*2 177.9 Calculate 31.9*-1. -31.9 What is the product of -228 and 2? -456 Work out 0.7 * -2.66. -1.862 What is the product of -1 and 0.0759? -0.0759 Work out 0.13 * -0.47. -0.0611 Multiply -13 and -4. 52 Multiply -3.1 and -0.03. 0.093 0.1 * 6 0.6 Calculate -1*-9.3. 9.3 -0.29 * -11.6 3.364 -1204 times 2 -2408 7.9 times 0.2 1.58 1128.1 times 0.5 564.05 Work out -21 * -0.2. 4.2 What is 0.4 times 256? 102.4 What is 0.36 times 2? 0.72 What is 6632 times 2? 13264 -16*-1.95 31.2 166 * -0.3 -49.8 Work out 5 * 117. 585 Multiply -1 and -54. 54 0.09*-55 -4.95 Work out 1 * 1731. 1731 Work out -0.5 * 8. -4 -0.53 * 0.5 -0.265 -0.4 * -0.0506 0.02024 -3.61 * -0.2 0.722 -7*-0.18 1.26 Product of -0.31 and -107. 33.17 -9 times 2.1 -18.9 What is 0.69 times 0.1? 0.069 What is -21 times -2.4? 50.4 5*6.14 30.7 Product of 3 and 0.18. 0.54 Product of 2.03 and -13. -26.39 Calculate 6*-44.9. -269.4 -2133*-0.1 213.3 -16*0.039 -0.624 Product of -5 and -1.805. 9.025 0.52*-0.5 -0.26 Calculate -8.1*-0.079. 0.6399 -0.3*263 -78.9 What is -3 times -0.8235? 2.4705 Product of -854 and -0.23. 196.42 -56*-1.9 106.4 Work out -0.3 * 0.0361. -0.01083 What is the product of 7.6 and 15? 114 -5 * 289 -1445 Multiply 14 and -0.017. -0.238 Product of 150 and 2. 300 2*-0.22 -0.44 What is -0.197 times -5? 0.985 What is 0.033 times 9? 0.297 What is 0.1 times 7? 0.7 0.4 * -18.38 -7.352 What is the product of -196 and 16? -3136 Multiply -2.284 and 0.4. -0.9136 Calculate -7.1*1.84. -13.064 What is -195.1 times -0.5? 97.55 7612*1 7612 -3284*5 -16420 What is 22 times -8? -176 What is the product of -6344 and -0.2? 1268.8 4.83 * -0.5 -2.415 Multiply -4 and -1.4. 5.6 4 times -2506 -10024 Calculate 0.01*-15.41. -0.1541 35*1.7 59.5 18*289 5202 What is the product of -43 and 0.03? -1.29 -1*132 -132 2 times -0.097 -0.194 Multiply -24 and 27. -648 What is -1.2 times 3.09? -3.708 0.1 times 633 63.3 What is 2 times -116? -232 Calculate 0.04*-2. -0.08 -3 * 22 -66 2 * 0.0544 0.1088 Calculate -54*-15. 810 Multiply 0 and 0.004. 0 Work out 590 * 0.3. 177 Calculate 39*0.1. 3.9 5*0.83 4.15 Multiply -0.0098 and -0.2. 0.00196 Work out 2458 * 0.3. 737.4 Calculate 5*-0.2225. -1.1125 Product of -166 and -0.5. 83 2.2 * 445 979 Multiply -2.7 and 13. -35.1 8*-0.3584 -2.8672 Work out -9 * -25. 225 Work out 52 * 9. 468 -1691 * -0.5 845.5 Multiply 26 and -29. -754 -2.12 times 0.045 -0.0954 932 times -2 -1864 Work out 3 * -0.17. -0.51 What is the product of -0.26 and -18.9? 4.914 What is the product of 4 and -429? -1716 What is the product of 18 and -0.06? -1.08 -1 times -0.558 0.558 -184 * -0.1 18.4 Product of -3.9337 and 0. 0 Work out 27.02 * 5. 135.1 What is the product of 263 and -5? -1315 Multiply -12 and 0.3. -3.6 221*-7 -1547 Multiply 91 and -0.2. -18.2 Calculate -3*-0.19. 0.57 Multiply -17.25 and 3. -51.75 16.8 * -3 -50.4 What is -1 times 32? -32 Work out -4.7 * 0. 0 Calculate -253*0.11. -27.83 Calculate -5372*-5. 26860 What is 25 times -13? -325 Work out 0.227 * 1. 0.227 Calculate -0.055*0.5. -0.0275 1*-0.071 -0.071 0.4 times -1.86 -0.744 Calculate 4*-59.1. -236.4 0.3 * 325 97.5 Multiply 645 and -2. -1290 -0.04*-52 2.08 Work out 6 * -0.241. -1.446 What is the product of 0.2 and -0.046? -0.0092 Product of 1 and -1.8. -1.8 Work out 6.7 * -13. -87.1 Work out 21 * -44. -924 0.5 * 5.06 2.53 -3*-39 117 Work out -0.5 * -16.5. 8.25 What is 294 times -4? -1176 Product of 5 and 6561. 32805 Multiply 5 and 0.04
{ "pile_set_name": "DM Mathematics" }
- 13, 6 = 3*b for n. 0 Solve 4 = 2*n + 7*z, -n + 5*z - 204 = -206 for n. 2 Solve -4*b - 4*j = -16, 3265*b - 3261*b + 3*j = 10 for b. -2 Solve -d + 175*y - 181*y = 20, 3*d = -y + 8 for d. 4 Solve -5*l + 4*q - 15 = 0, -4*l - 16 = q + 17 for l. -7 Solve -13*v + 65 = 0, -v + 15 = 3*d - 19 - 10 for d. 13 Solve 0 = 5*u + 5*t - 25, 8*t = 2*u + 4*t + 2 for u. 3 Solve 2*q - 651 = -m - 670, -2*q - 8 = 0 for m. -11 Solve 5*u - 106*m = -101*m - 41 - 14, -12 = -3*m for u. -7 Solve -5*b + 37 = 4*x, -4341*x - 5*b = -4345*x - 13 for x. 3 Solve -3*t = -3*v - 6, -32*v = -37*v + 3*t - 6 for v. 0 Solve -13 = 2*v + l, 0 = v - 5*l - 74 + 42 for v. -3 Solve -63*j + 3 = -66*j, 3*p - 8*j = 14 for p. 2 Solve -4 = 2*h, 2*o + 58*h - 6 = 62*h for o. -1 Solve d + 3*w - 19 = 0, 2136*d - 2131*d = -2*w + 30 for d. 4 Solve -f + 390 - 369 = 3*x, -4*f = 4*x - 28 for x. 7 Solve -3*z = 2*i - 40, -5*z = 2*i - 35 - 5 for i. 20 Solve 8*j - 55 = 13*j - 70, -4*j = 2*r - 12 for r. 0 Solve -5*h + 3*d + 7 = 0, -84*h + 5*d = -80*h - 16 for h. -1 Solve -2*b - 2 = 3*p, 4*p - 3*b - 18 = -15 for p. 0 Solve -j + 3*f + 10 = 0, 1764*j - 1765*j - 3*f - 14 = 0 for j. -2 Solve 87*t = -4*u + 83*t, 0 = -u - 0*u - 2*t - 1 for u. 1 Solve -4*u = -12, -166*s + 18 = -161*s - 4*u for s. 6 Solve 0 = u + 3, 36*i + 5*u - 2465 + 2660 = 0 for i. -5 Solve -3*b = r + 2, 4*r - 403 + 411 = -3*b for b. 0 Solve -6 = 6*c, 5*v + 355*c + 24 = 351*c for v. -4 Solve -11*o - 5*g = -14, -98*o + 14 = -93*o + g for o. 4 Solve 4 = f - 6*p + p - 1, -2*p - 6*p = 0 for f. 5 Solve -b + 16 = -5*c, 93*b = -2*c + 89*b - 2 for c. -3 Solve 24 = -92*k + 88*k + 5*b, b - 7 = 3*k for k. -1 Solve -2*j + 20*m + 14*m = 33*m + 14, 3*j + 4*m + 10 = 0 for j. -6 Solve 2 = -2*s + l, 13*l = -2*s + 16*l - 2 for s. -1 Solve -2*j - 6 = 4*l, 2*j + 12 = -30*l + 24*l for l. -3 Solve -9*t = 4*y + 78, -18*y + 14*y = -4*t + 104 for t. 2 Solve -3*n + 60 = -5*m + 32, -9 = -m - 14*n for m. -5 Solve 3*z = 4*u + 10*z - 65, -z + 74 = 3*u + 38 for u. 11 Solve 4*v + 25*l = 30*l - 7, v - 5 = -l for v. 2 Solve -4*y - 64*c + 32 = -60*c, 2*y - 2*c + 20 = 0 for y. -1 Solve 57 = -i - 6*i + 4*i - 3*r, -r - 1 = 0 for i. -18 Solve 2*o = 725*x - 726*x - 1, 5*x = -5 for o. 0 Solve 0 = -137*m + 133*m + 4*h + 4, 4*m - 10 = 2*h for m. 4 Solve o = -5*j - 2, -12*j + 16*j = 8 for o. -12 Solve -54 = 3*n - 4*x - 67, -3*x = -n + 11 for n. -1 Solve 4*h - h = 2*d + 14, -21 = d - 5*h for d. -1 Solve -2 = -3*b - 2*c, -2*b - 4*c + 15 + 5 = 0 for b. -4 Solve -3*v = 656*o - 652*o - 9, 2*v = o - 5 for o. 3 Solve -42656 = -5*d + 4*w - 42635, 5*d + 3 = -2*w for d. 1 Solve -5*d + 20 = 5*b, 4*b = -2*d + 1481 - 1467 for d. 1 Solve d - 5*j - 343 + 329 = 0, j = -2*j - 12 for d. -6 Solve 5*d = 3*u - 78, 1113*u = 1116*u - 4*d - 60 for u. -4 Solve 21*s = 16*s - 8*x - 80, 5*x + 50 = 3*s for s. 0 Solve -38*n + 45 = 4*o - 153, 0 = -n + 3*o - 1 for n. 5 Solve -4*x + 509 = -5*v + 415, x = 3*v + 55 for x. 1 Solve -3*t - 16 = 5*i, -6*i - 139*t + 137*t - 16 = 0 for i. -2 Solve h = 2*d + 2, 3*d - 65 + 62 = 0 for h. 4 Solve 5*d - 2556 = 2*v - 2574, 0 = 3*d + 2*v + 14 for d. -4 Solve -3*a + 4*o + 15 = 0, 2*o = -o for a. 5 Solve -357*q - 2*n = -361*q - 18, -2*n + 8 = q for q. -2 Solve 0 = 2*o - 5*o + 2*t - 7, 2*o = 12*t + 6 for o. -3 Solve -4*f - 144*x + 141*x = -54, 4*x + 28 = 3*f for f. 12 Solve -729*s = -734*s + 5*a - 20, 3*a = -3*s - 30 for s. -7 Solve 3*o + 2*x - 13 = 0, 16993*o + 27 = 16998*o - 2*x for o. 5 Solve y = 5*w + 12, 10041*y - 10039*y - 3 = 3*w for w. -3 Solve 12 = 3*p - 84*c + 86*c, -4*p + 16 = -3*c for p. 4 Solve 0 = 28*i - 52*i - 2*m + 116, -2*i = 4*m - 2 for i. 5 Solve 4*o = -4*b, 36*o - 39*o = -4*b - 35 for b. -5 Solve 5*y + m - 10 = 0, -2*y + 145*m = 146*m - 1 for y. 3 Solve -i + 3*t - 73 = 3*i, -93 = -3*t for i. 5 Solve -88*a = 4*q - 83*a + 33, 5*q = 6*a + 19 + 1 for q. -2 Solve 666*z - 671*z = -4*f + 3, -35 = z - 18*f for z. 1 Solve 0 = -3*y - 2*x + 55, -30 = -305*y + 303*y + 2*x for y. 17 Solve 3*p + 452*l - 69 = 458*l, 0 = 3*l + 36 for p. -1 Solve -4*h - 6 = -2*v, 2*v - 13 = -65*h + 62*h for v. 5 Solve 2*f + 3*h + 48 = 0, 0 = 7*f - 9*f + 5*h - 32 for f. -21 Solve 0 = -4*l - 243*i + 245*i - 22, -5*i + 22 = l for l. -3 Solve -6*v = -2*f + 2, -184*f + 13 = -3*v - 189*f for v. -1 Solve -54*u = -41*u - 5*z + 28, -6*u = -4*z + 18 for u. -1 Solve 2*a + g + 2 = 0, -92*a + 87*a = -4*g - 21 for a. 1 Solve 12*i + 5*w + 83 - 58 = 0, -5*i - 25 = 5*w for i. 0 Solve 85 = -3*w + o + 78, 3*o = 5*w + 13 for w. -2 Solve -44 = 4*l - 3*z, -137*l = -135*l + 4*z - 66 for l. 1 Solve 3*i - 4*g - 5 = -28, 5*i + 30 = 5*g for i. -1 Solve 129*n - 133*n - 30 = 2*d, -12 = 3*n + 3 for d. -5 Solve d + 4267*f - 4262*f = 6, 4*d + 4*f + 8 = 0 for d. -4 Solve -6 = 3*f, -5*g + 4*f = g - 2*g - 24 for g. 4 Solve -2*s + 28 = -6*b, -43*s - b = -41*s for s. 2 Solve m - 4*t - 41 = 0, -4*m + 55*t + 621 = 106 for m. 5 Solve 3*u + 2*p = 2, -109*u - 3*p = -112*u + 12 for u. 2 Solve 1 = -2*p + 5*k, 9*p + k - 1 = 9*p for p. 2 Solve -2*b + 2*f - 55 + 53 = 0, b + 3*f = -9 for b. -3 Solve 34 = 11521*s - 11517*s + 2*j, 4*s = 2*j - 18 for s. 2 Solve 79*x + 0*w + 30 = 75*x - w, -5*w - 10 = 0 for x. -7 Solve 0 = -5*n - 4*b + 8, -47 = -17*n + 13*n - 9*b for n. -4 Solve -5*k + 70 = -9*h, 21*h + 25 = k + 17*h for k. 5 Solve 3*k - 7 = -4*u, 2862*u - 2861*u - 10 = 2*k for k. -3 Solve 14 = -2*s + 7*p, 91*s + 10 = 90*s + 5*p for s. 0 Solve 4 = 40307*m - 40308*m, 2*m + 17 = -3*j for j. -3 Solve -11 = -19*k + 23*t - 20*t, -8 = -2*t + 10 for k. 2 Solve -r + 5*h = 25, 2309*h = -r + 2294*h + 55 for r. -5 Solve -51*y + 47*y + 20 = -4*x, -2*y + 4*x = -10 for y. 5 Solve 26 = -2*d + 5*i, -52 = -d + 13*d - 4*i for d. -3 Solve 0 = v - 40037*z + 40030*z - 46, 2*z - 4 = -4*v for v. 4 Solve q + 15 = 2*w, -5*q + 2*q - 13 = 2*w for q. -7 Solve 17 = 1550*p - 1549*p + d, 3*d - 27 = -p for p. 12 Solve -2*u - 1 = -c, -280*u + 279*u + 7 = -2*c for u. -3 Solve -56*s + 51*s = 0, -26*m + 24*m - 4 = s for m. -2 Solve 5 = -5*w + 821*x - 818*x, -3*w - x + 11 = 0 for w. 2 Solve 43*d + 85 = 40*g + 38*d, 2*g - 4*d - 8 = 0 for g. 2 Solve -9679*x + 9674*x + 11 = s, -3*x + s + 5 = 0 for x. 2 Solve -45 = 10*p + 1186*t - 1185*t, -5*p + 3*t = 5 for p. -4 Solve -4*i - 2*x = 22, 5*x + 31 = -18*i + 14*i for i. -4 Solve 6*f + 30 = 9*f - 2*t, 5*f - 5*t = 50 for f. 10 Solve -2*y + 4*j = 8*j - 14, 12 = 2*y + 3*j for y. 3 Solve 5*q + u + 101 = 80, 16 = 4*u for q. -5 Solve -3*d = -4*k - 20, -266 = -7*k - 2*d - 330 for k. -8 Solve -c + 3 = 5*y, 6*y - 4*c + 27 = 67 for y. 2 Solve -i - 4*s + 8 = -3*i, 7*i = 3*s + 5 for i. 2 Solve 98*u = 103*u - 5*b - 40, 8*u = -5*b - 1 for u. 3 Solve 19389 = -3*m + 2*n + 19365, 4*m + 30 = 2*n for m. -6 Solve 0 = -173*z + 171*z + 14*k - 32, 0 = -z - 5*k + 20 for z. 5 Solve -m - 3*v = 8, 5*m + 18 = 29*v - 33*v for m. -2 Solve 0 = m - 3*p - 11, 3*m - 291*p + 7 = -290*p for m. -4 Solve 16*u - 52 = 4*s, -70*s + 64*s = -5*u + 2 for s. 3 Solve 127324*p - 127325*p = 4*y - 53, 29 = -5*p + y for p. -3 Solve 1265 - 1269 = 3*a - i, -2*a - 20 = -5*i for a. 0 Solve -3*h + 5630*j = 5631*j + 13, -2*h - 20 = -5*j for h. -5 Solve s + p = 2, 75*s - 70*s + p + 2 = 0 for s. -1 Solve n = 5*k - 38, 0 = -3*k + 3*n + 24 - 6 for k. 8 Solve -2*k - 10 = -4*k, 4*k = 3*u + k for u. 5 Solve 3*v - 3*z = 0, v + z - 919 = -921 for v. -1 Solve 34 = -b + 5*h + 15, 2*b - 2*h + 14 = 0 for b. -4 Solve -5*s - 35 = 4707*b - 4710*b, 2*b - 10 = 2*s for s. -10 Solve 2*g + 37 = -5*o, 2*o - 26990 = -27008 for g. 4 Solve -2*t - k = -4, t + 334 = -4*k + 322 for t. 4 Solve 69*z - 2*f = 68*z - 1, z = -4*f - 7 for z. -3 Solve -3*s - 516 + 542 = -4*d, 3*s = 3*d + 21 for d. -5 Solve 3*f + 59 = -8*s, -20*f + 19*f - 21 = 3*s for s. -4 Solve 0 = -2*t + 4*w - 14, 0 = -3122*t + 3121*t - 4*w + 11 for t. -1 Solve -4*n - 2*w = -16, -3*w = 5*n - 372 + 351 for n. 3 Solve -19*u + 2 = -18*u - 2*l, -3*u - 5*l = 5 for u. 0 Solve 5 = 4*y + 3*n, 81*n = 3*y + 85*n - 16 for y. -4 Solve 0 = 5*p - 2*h + 10, 82*p + 20 = 80*p + 4*h for p. 0 Solve -2*q = 13*x - 11*x, 0 = -5*q + 3*x + 8 for q. 1 Solve -2*v = 2*v - 8*v, 3*c - 2*v + 2*v - 15 = -v for c. 5 Solve 0 = 2*d - u - 201 + 200, 2*d + 5*u + 29 = 0 for d. -2 Solve -407*t + 4 = 2*i - 406*t, -2*t + 4 = -0 for i. 1 Solve 0 = 9*f + 9, -4*h - 14*f - 23 = -11*f for h. -5 Solve 40*q = 36*
{ "pile_set_name": "DM Mathematics" }
from {i: 2, l: 6}. What is prob of picking 2 i? 1/28 Three letters picked without replacement from zzzzzznnnzn. What is prob of picking 2 z and 1 n? 28/55 What is prob of picking 2 m and 1 j when three letters picked without replacement from {j: 2, m: 3, v: 3, b: 7, y: 4}? 2/323 What is prob of picking 2 l when two letters picked without replacement from ullulu? 1/5 Four letters picked without replacement from whbbwbbwgwbwbwgwgw. What is prob of picking 2 g and 2 w? 7/255 What is prob of picking 1 a and 1 x when two letters picked without replacement from xxaxaxxaaxaxxaaxaa? 9/17 Four letters picked without replacement from qhqqhhqqhhqhq. Give prob of picking 4 q. 7/143 Four letters picked without replacement from {f: 4, v: 3, o: 1}. What is prob of picking 1 o, 2 v, and 1 f? 6/35 Two letters picked without replacement from {c: 2, b: 4, o: 5}. What is prob of picking 1 b and 1 c? 8/55 Calculate prob of picking 3 z when three letters picked without replacement from fzazzfkfzfezz. 10/143 Calculate prob of picking 2 u when two letters picked without replacement from aauaau. 1/15 Two letters picked without replacement from jjjgjgjgjjjjjg. Give prob of picking 1 g and 1 j. 40/91 Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qyikyckfkkiikqiqqkk. 16/171 What is prob of picking 2 x when two letters picked without replacement from {x: 12, e: 6}? 22/51 Calculate prob of picking 1 v and 3 r when four letters picked without replacement from vfvvyryryfrffffff. 3/2380 Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {u: 5, f: 5}. 5/9 Four letters picked without replacement from {g: 2, w: 5}. Give prob of picking 1 g and 3 w. 4/7 What is prob of picking 2 l when two letters picked without replacement from lttttuvltvcrtltuuu? 1/51 What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 1, p: 1, t: 6, s: 4, r: 1, g: 3}? 1/30 Calculate prob of picking 2 i when two letters picked without replacement from vrreivrrierrire. 1/35 What is prob of picking 1 y, 1 v, and 2 g when four letters picked without replacement from {y: 3, v: 2, g: 12}? 99/595 Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {f: 1, w: 4, c: 1, u: 11, t: 2}. 2/171 Four letters picked without replacement from cqflffmqqffffmmlcff. What is prob of picking 1 m, 1 q, and 2 c? 3/1292 Two letters picked without replacement from {e: 5, o: 1, c: 12, z: 1}. Give prob of picking 2 c. 22/57 What is prob of picking 2 a when two letters picked without replacement from {a: 11, r: 1, f: 2}? 55/91 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from gargrrggagggrragghhh. 3/38 What is prob of picking 1 d, 2 n, and 1 h when four letters picked without replacement from {d: 2, n: 1, b: 1, h: 2, k: 2}? 0 Two letters picked without replacement from {b: 3, g: 7, l: 9}. What is prob of picking 2 g? 7/57 What is prob of picking 1 n and 2 u when three letters picked without replacement from ubjnubnuubunbdnb? 1/14 What is prob of picking 1 b, 2 n, and 1 z when four letters picked without replacement from {g: 1, t: 5, n: 2, b: 1, z: 1}? 1/210 What is prob of picking 3 k and 1 e when four letters picked without replacement from kapkkkkpkkep? 7/99 Three letters picked without replacement from {l: 10, b: 7, p: 2, h: 1}. What is prob of picking 1 h and 2 l? 3/76 Four letters picked without replacement from {h: 2, e: 2, d: 5, t: 2, l: 5, u: 2}. What is prob of picking 1 l, 2 d, and 1 h? 5/153 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {h: 4, q: 2, n: 3, v: 3, d: 6, l: 1}. 4/57 What is prob of picking 2 r and 1 m when three letters picked without replacement from rrrkmrmk? 3/14 What is prob of picking 2 z and 1 f when three letters picked without replacement from {o: 4, f: 2, z: 6, g: 1}? 15/143 Four letters picked without replacement from {t: 7, i: 7}. What is prob of picking 4 t? 5/143 Two letters picked without replacement from llttlkkllttttlltlt. What is prob of picking 2 t? 28/153 Two letters picked without replacement from {g: 3, n: 1, h: 1}. What is prob of picking 1 h and 1 n? 1/10 Four letters picked without replacement from {d: 2, q: 9}. Give prob of picking 4 d. 0 What is prob of picking 1 g, 1 t, and 1 j when three letters picked without replacement from {j: 2, f: 2, t: 1, k: 2, g: 1}? 1/28 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {h: 1, x: 1, j: 5, l: 1, s: 2, g: 3}. 1/78 Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {v: 12, i: 3}. 198/455 Three letters picked without replacement from {j: 6, m: 3, h: 4, n: 2}. What is prob of picking 1 j, 1 h, and 1 m? 72/455 Four letters picked without replacement from {d: 1, c: 7}. Give prob of picking 3 c and 1 d. 1/2 Three letters picked without replacement from mmmmmvvmvvvvmvmm. Give prob of picking 3 m. 3/20 Three letters picked without replacement from jjjjfkjhfmtkttt. What is prob of picking 1 h, 1 j, and 1 m? 1/91 What is prob of picking 1 j, 1 u, 1 c, and 1 k when four letters picked without replacement from {u: 1, j: 2, k: 4, c: 3}? 4/35 Calculate prob of picking 2 h and 1 a when three letters picked without replacement from phpahhhhhhphphhhph. 11/136 What is prob of picking 2 n when two letters picked without replacement from {z: 5, n: 7, a: 2, m: 4}? 7/51 Two letters picked without replacement from {m: 5, u: 2}. What is prob of picking 2 u? 1/21 Calculate prob of picking 1 h, 1 s, and 1 m when three letters picked without replacement from ifbmfhs. 1/35 Three letters picked without replacement from {g: 1, a: 1, l: 1, k: 1, i: 2, p: 1}. Give prob of picking 1 p, 1 k, and 1 a. 1/35 Calculate prob of picking 3 t when three letters picked without replacement from tttette. 2/7 What is prob of picking 1 m and 1 a when two letters picked without replacement from mmmmmamammmmammmmma? 20/57 What is prob of picking 1 g, 1 s, and 1 i when three letters picked without replacement from gzzzzeegsiezgz? 3/364 What is prob of picking 3 g when three letters picked without replacement from kkggrhgrgkkhkgkrkrgd? 1/57 Four letters picked without replacement from purrrpuurprpr. What is prob of picking 4 r? 3/143 What is prob of picking 1 c, 1 l, and 1 b when three letters picked without replacement from {y: 3, l: 1, c: 2, m: 3, h: 3, b: 1}? 1/143 Two letters picked without replacement from eeybereerrbebr. Give prob of picking 2 e. 15/91 Calculate prob of picking 1 e, 1 c, and 1 x when three letters picked without replacement from exizecaz. 1/28 Two letters picked without replacement from {s: 3, d: 2, w: 4, k: 3, m: 2, e: 1}. What is prob of picking 2 w? 2/35 Two letters picked without replacement from ugllupuguuu. Give prob of picking 2 g. 1/55 Four letters picked without replacement from {f: 2, y: 16}. Give prob of picking 2 f and 2 y. 2/51 Four letters picked without replacement from {q: 8, c: 6, o: 3}. Give prob of picking 1 o, 1 c, and 2 q. 18/85 Three letters picked without replacement from {q: 2, e: 4, i: 4}. What is prob of picking 3 e? 1/30 Two letters picked without replacement from vvvevvxevvvsms. Give prob of picking 2 v. 4/13 What is prob of picking 1 f and 2 n when three letters picked without replacement from nfffnff? 1/7 Calculate prob of picking 3 t when three letters picked without replacement from wptxc. 0 Two letters picked without replacement from {w: 1, e: 4, t: 5, o: 5, s: 1}. Give prob of picking 2 e. 1/20 Three letters picked without replacement from vvvtwwwvctwctvwxw. Give prob of picking 2 v and 1 t. 3/68 Two letters picked without replacement from {p: 6, i: 2}. What is prob of picking 2 p? 15/28 Calculate prob of picking 3 g when three letters picked without replacement from {g: 5}. 1 What is prob of picking 2 x when two letters picked without replacement from {s: 12, n: 2, m: 1, x: 2, w: 3}? 1/190 What is prob of picking 2 n, 1 x, and 1 k when four letters picked without replacement from {p: 1, k: 3, n: 7, x: 1, c: 4}? 9/260 Four letters picked without replacement from jeymyeemmg. What is prob of picking 1 y and 3 e? 1/105 What is prob of picking 2
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to -1 in 230, -2079, 6? 6 What is the closest to -4 in -0.3, -24/61, -6.7, -1/2, -7, -1.2? -6.7 What is the closest to 2 in 12, 3/8, 0.061, -4/9? 3/8 What is the nearest to -58 in 0, -2, 328330/9, 1? -2 Which is the nearest to 0.5? (a) 0.1 (b) 508 (c) -0.1 (d) -2 a What is the nearest to -6 in 0.2, -56.5, -74/109? -74/109 What is the nearest to -0.1 in -2/13, -382, 255/91? -2/13 What is the closest to -3/4 in 0.5, 8, -3, 55, -22/15, 1? -22/15 What is the nearest to -2673 in -1, -28, -0.5, 1/3? -28 Which is the closest to 2? (a) 0.3 (b) 2 (c) -1 (d) 5099 b What is the nearest to 37 in -0.7, 4, 0.1337? 4 Which is the nearest to 0.775? (a) -2/293 (b) -1/53 (c) 0.3 c What is the closest to 1 in 0.161, -0.2, 0.67, -5, -2, 0? 0.67 Which is the nearest to 6? (a) 8667 (b) -0.012 (c) -0.5 (d) 1/6 d What is the closest to -3006 in 2/307, -2/7, -2? -2 What is the closest to 0 in 391, -2, -1/2, 0.2492? 0.2492 What is the nearest to 1 in 0.6, -1/854, -36, -2/11, -0.1? 0.6 What is the closest to -1 in -2, 5, 0.3, -0.07, -4/31? -4/31 Which is the nearest to -1.4? (a) -74 (b) 4 (c) 0.5 c Which is the nearest to 0? (a) -1 (b) 20 (c) 5 (d) -1/10 (e) 9.1 d Which is the nearest to 1/88? (a) -8 (b) 1.8 (c) -49 b Which is the closest to -34? (a) -0.2 (b) 6837/62 (c) 0.1 (d) -4 (e) 5 d Which is the closest to -1243? (a) 5 (b) 816 (c) 0.5 c Which is the nearest to 9? (a) -1/1714 (b) -0.5 (c) -3 (d) 2 (e) -0.3 d What is the nearest to 0 in -0.03, 129, 2/3, -3, -0.05, -3/8? -0.03 What is the nearest to 0 in -2/7, -4/7, 1.227, 54, -2/9? -2/9 Which is the nearest to 0? (a) 1/3 (b) 4 (c) 133082 (d) -1/4 d What is the nearest to 1/3 in -1/3, 4/1157, 6385? 4/1157 What is the nearest to 7 in 80, 1, 2/3, -9, -16? 1 What is the closest to -80 in 0.39, -1/7, 1, 1/3, 5/2, -129? -129 Which is the nearest to 1/3? (a) 4084 (b) -6.9 (c) 0.3 c What is the nearest to 1/10 in -1/3, -60, 3, -26, -2? -1/3 What is the nearest to -1/17 in 0.4, -2, 4, -110, 0? 0 Which is the closest to -5/7? (a) -264079 (b) -4 (c) -3/2 c What is the closest to -1/10 in 4/17, 5, 0.014, -219? 0.014 Which is the nearest to 1? (a) 205 (b) 2 (c) -31/214 (d) 2/5 d Which is the closest to 5? (a) 3 (b) 0.5 (c) 9/11 (d) 5 (e) 2/7 (f) 2/235 d Which is the closest to -4? (a) -2/19 (b) -0.03 (c) -2/15 (d) -2/31 c Which is the nearest to 1? (a) -2/7 (b) -3130 (c) -6 (d) 5 (e) 3/4 e Which is the nearest to 1? (a) 3 (b) -2/5 (c) -1662 (d) 16 (e) 4 (f) 0.6 f Which is the closest to -3? (a) -1 (b) 61.5 (c) 29 (d) 511 a What is the nearest to 32.082 in -3/7, 16, -0.02, -4? 16 What is the closest to -2/581 in 133, -11, -1.4? -1.4 Which is the closest to 0? (a) -0.5 (b) -1 (c) 6 (d) 5 (e) -28/19 a What is the closest to 1068 in -128, 0.07, -0.1? 0.07 What is the closest to 1/4 in -30, 1660/13, -1/5? -1/5 Which is the closest to 2/5? (a) -2/11 (b) 0.145 (c) 41 (d) -0.1 b What is the nearest to -1/4 in -1.216, 4, -4, 0.13? 0.13 What is the closest to -5 in 13, -4646, -4, -0.1, 5? -4 Which is the nearest to 252? (a) -41 (b) 0 (c) -5 b What is the nearest to 0.1 in 247, -1.4, -106, 2? -1.4 What is the nearest to 167 in 3, -422/3, -12? 3 Which is the nearest to 0.41? (a) 0 (b) 535 (c) -582 a Which is the closest to -2/5? (a) -3 (b) -388 (c) -57/7 (d) 0 (e) 2 d What is the closest to 1 in -5, 347.5, -2/163, -0.3, 4, -12? -2/163 Which is the closest to 7.7? (a) -1 (b) 0 (c) 98.528 b Which is the nearest to 20/7? (a) 0.14 (b) -4 (c) -2949 (d) -2/5 a Which is the nearest to 3? (a) -30 (b) 16.7 (c) 0.02 (d) 1.6 (e) 1/4 (f) -0.6 d What is the nearest to 20 in 0.5, 4/5, 5/2, 4, 1702, -5? 4 What is the nearest to -0.2 in -5, 0.02, 0.848709? 0.02 Which is the closest to 0? (a) -0.27 (b) -12 (c) 192 (d) -4 a What is the closest to -26 in 2.5, 1.03, 1/6, 3, -3? -3 Which is the nearest to -157? (a) 3/2 (b) -407 (c) 2/165 c What is the nearest to -2 in 4.83, 5/3, 2, 0.2, 986/3? 0.2 What is the closest to 2/115 in 12, 6, -8, -6? 6 What is the closest to -168158 in -5, -1, 5, 3? -5 Which is the closest to 5.47? (a) 1/9 (b) -690 (c) 1/2 c What is the nearest to 352 in -123/7, 5, -0.4? 5 What is the closest to -214 in 1/286, -1, 5? -1 What is the closest to 310 in 1136, 1.7, 0.4? 1.7 What is the closest to -0.2 in -40, 5, -1, 40.17? -1 Which is the nearest to 0? (a) -9032 (b) 171 (c) -0.5 c Which is the nearest to 8? (a) -2/11 (b) 4 (c) 1/3 (d) -10 (e) -30 b What is the nearest to 10 in 92373, 0.31, -2? 0.31 Which is the closest to -832? (a) 5 (b) -4/3 (c) -19 (d) 48 c What is the closest to 1860 in 0.2, 4, -2/19, 5, 2/5? 5 Which is the closest to 0.3? (a) 736 (b) 9/2 (c) 4 (d) -0.047 d Which is the closest to 9? (a) 0.1 (b) 1958 (c) 3/8 (d) 2/21 (e) 0.18 c Which is the closest to -4559? (a) 27 (b) -0.3 (c) -3 (d) -6/5 (e) 0.01 c Which is the closest to -149? (a) -1 (b) 1/9 (c) -5/4 (d) -80/43 d What is the closest to 2/39 in 2/131, 0, 4, 0.8, -2.8? 2/131 Which is the nearest to 812.63? (a) -2/13 (b) -1 (c) -15 a What is the nearest to 49.13 in 4, 2/3, -2, -3/77, 5? 5 Which is the closest to -0.1? (a) 0.1 (b) -1366 (c) 4 (d) -0.051 (e) 7 d Which is the nearest to 174429? (a) 5 (b) -1 (c) 8 (d) -1/4 c What is the closest to 3944 in 0, 0.051, -12? 0.051 Which is the nearest to 19/15? (a) 1 (b) -3.7 (c) -2/9 (d) 2 a What is the nearest to -2/5 in -0.039, -92, -3/7, -1? -3/7 What is the nearest to 38 in 2/13, 1/4, -5/67, 4, 102? 4 What is the nearest to 14 in -270/23, 2/25, -1/3? 2/25 What is the closest to 667/93 in 10, 0.4, -4, 4, 0.2? 10 What is the nearest to -3 in -3/5, 5/229, 5, 4/5, 3? -3/5 What is the nearest to -0.1 in 19, 899/5, 0.05? 0.05 Which is the closest to 104? (a) -3/5 (b) 2 (c) 10.7 (d) 5 c Which is the closest to 1? (a) -109 (b) 598/327 (c) 0.2 c What is the closest to -236 in -63, -4, 9.7? -63 What is the closest to 1 in 8, 11, 5, -1028956? 5 What is the nearest to -2 in 5, -65, -2, 535115, 1/4, -4? -2 Which is the nearest to -1/4? (a) -5 (b) 50 (c) -0.041 (d) -0.83 c What is the nearest to -20 in -1, 0.3, -2, 17706? -2 Which is the closest to 5? (a) 1/117982 (b) -0.1 (c) 4 (d) -3/7 c Which is the closest to -1? (a) 4/5 (b) -0.1 (c) -1141.8 (d) -6 b Which is the closest to 0? (a) -7 (b) 4/9 (c) 1 (d) -111048 b Which is the nearest to -837? (a) -15/431 (b) -2/7 (c) 2/3 b What is the closest to -0.1 in 8870, -16/3, 14? -16/3 Which is the nearest to -319/6? (a) 0.05 (b) 3 (c) 1.4 (d) 0.18 (e) -2/7 e What is the nearest to 2 in 7, -1/5, -7, -1/2, -457? -1/5 What is the nearest to 38/241 in -0.5, 0.4, -3/8, 3? 0.4 What is the closest to 14 in 245, -5, -6, 0.5? 0.5 Which is the closest to -2250? (a) 2 (b) -14 (c) -117 (d) -0.5 (e) 0.02 c Which is the closest to 10608? (a) -4 (b) 0.03 (c) 2/17 c What is the nearest to -1 in -1, 0.29, 2, 1138? -1 Which is the nearest to -0.07? (a) -5 (b) -0.08 (c) -23/8 (d) 4 (e) 3/2 b What is the nearest to 15 in -1.7, 0.6, 16, -1, -5? 16 What is the nearest to 2/3 in 2/5, -3/14, -0.73, -4, 27.6? 2/5 What is the closest to 1 in 0, -83, 6/1009, -0.4, 0.1? 0.1 What is the nearest to 1/7 in 4, -0.12, 0.2, 0.12, 14.6? 0.12 What is the closest to -1 in -3/26447, 0.031, 0.11? -3/26447 Which is the closest to -0.04? (a) 6 (b) 3/7 (c) 0.4 (d) 76.44 c What is the nearest to 2/7 in -271, 0.1, -6901/36? 0.1 Which is the closest to -2/9? (a) 1 (b) -93 (c) -108 (d) -5 (e) -1 e What is the nearest to 99 in 4/7, -9, -21, -2/15? 4/7 Which is the nearest to -18? (a) -25.6 (b) -0.5 (c) -0.087 a Which is the closest to 2/5? (a) 2 (b) 95/184 (c) 2/159 b Which is the closest to 0.17? (a) 0 (b) -0.2 (c) -6 (d) -19589 a Which is the closest to 7? (a) -0.05 (b) 72 (c) -795 a Which is the nearest to 0.221? (a) -10/151 (b) -5/4 (c) -1 (d) -3/7 (e) 5 a Which is the nearest to 1/16792? (a) 34/5 (b) -4 (c) 3/7 (d) 2 (e) 5 c What is the nearest to 1 in -0.1, 2, 0.258, -169? 0.258 What is the nearest to 18 in 13947/25, 2/7, -0.4? 2/7 Which is the nearest to -2? (a) -0.1 (b) -5 (c) 7/2 (d) -34 (e) -2/383 a Which is the closest to 257? (a) 3 (b) 2/3 (c) -22/7 (d) -10
{ "pile_set_name": "DM Mathematics" }
h be (-3)/12 + 21/4. Let w = h + 6. Solve 5*p = 1 - w for p. -2 Suppose -2*y = -2*z + 3*z - 29, 0 = 2*y + 4*z - 44. Solve y = -3*f - f for f. -3 Let q(o) = o**2 + 7*o + 8. Let s be q(-6). Solve 1 = -z - s for z. -3 Let i be 0*(1 - (-6)/(-3)). Let l = 3 - 1. Solve r + r - l = i for r. 1 Let c(j) = j**3 + 6*j**2 - 8*j - 7. Suppose 0*w = w + 7. Let k be c(w). Suppose k = -i + 3 + 5. Solve 0 = i*h - 3*h - 20 for h. 4 Let u(w) = -w**3 + 7*w**2 + 8*w. Suppose 9 - 1 = q. Let g be u(q). Solve -s + g = 2 for s. -2 Suppose -8 = m + 11. Let g = -13 - m. Suppose y - 3*n = g*y - 22, -3*n + 2 = -5*y. Solve -3*i = -i - y for i. 1 Let g(p) = -p**2 + 7*p + 2. Let s(k) = k**2 - 7*k - 1. Let q(v) = 2*g(v) + 3*s(v). Let y be q(7). Let w be (-3)/(-12) + y/(-4). Solve w = 6*i - i - 5 for i. 1 Suppose 0 = 3*z - b - 4, -4*b + 9*b = 4*z + 2. Suppose -2*k - z*f - 18 = -6*f, k = -f + 6. Solve 2*h + 5 = k for h. -2 Suppose 3 = j - 0. Solve -j*g + 2 = -4*g for g. -2 Let m(i) = i + 8. Let g be m(-3). Solve 2*q - g = q for q. 5 Suppose 0 = -5*g + 7*g - 10. Solve -g*i + 12 = -13 for i. 5 Suppose c + 10 = 6*c. Let o be 6*(c + (-3)/(-6)). Suppose 7*f - 2*f = a - o, -4*a = 2*f - 16. Solve 0*m - 10 = a*m for m. -2 Let t(w) = w**2 - w - 2. Let k be t(2). Solve k = p - 4*p - 9 for p. -3 Let v be (4 - 2 - 2/(-2)) + 2. Solve 25 = -4*b + v for b. -5 Suppose 13*k + 0*k - 52 = 0. Solve 1 = -k*d - 19 for d. -5 Let u(z) = -3*z + 20. Let s be u(6). Solve 6 = -s*p - p for p. -2 Let i = 5 + -15. Let l = -10 - i. Suppose 6*h = h + 15. Solve 15 + l = h*c for c. 5 Let a(h) = 2*h**2 - h - 9. Let n be a(3). Solve -n*t = -4*t - 6 for t. 3 Let t(p) = 6*p**2 + 2*p - 5. Let d be t(2). Solve -5*x + 8 = d for x. -3 Let f(h) = 2*h + 27. Let p be f(-12). Solve 0 = -r + p - 0 for r. 3 Suppose 18 = -2*z - n, n = -3*z - 3 - 22. Let r be (-120)/(-42)*z/(-2). Solve -3*m + 2 = -r for m. 4 Let z be 2*(3 + -2)/(-1). Let g = z - 1. Let q be -3 + (-24)/g - 1. Solve 0*u - q = u for u. -4 Let x = -16 - -34. Let l = 30 - x. Suppose -3*z + l = -0*z. Solve 0*k + z*k + 4 = 0 for k. -1 Let i be ((-16)/(-6))/(20/30). Solve i*g + 4 = 8 for g. 1 Let p(s) = -8*s**2 + 3*s - 2. Let d(f) = -7*f**2 + 2*f - 1. Let n = 2 + -5. Let u(a) = n*d(a) + 2*p(a). Let q be u(1). Solve 0 = -i + q - 2 for i. 2 Suppose 5*d = 9*d - 12. Solve d*o = -2*o for o. 0 Let o(p) = -p**3 - p**2 + p. Let l be o(2). Let t = 35 + l. Solve 3*w = -2*w - t for w. -5 Let i be 7/(-42) - (-7)/6. Let q be (12/8)/(i/2). Solve q*d + 3 = -12 for d. -5 Suppose 5 = -5*r + 15. Solve r*m = -0 - 2 for m. -1 Suppose 0*y = -y - c - 1, 2*c = y - 14. Let v = 4 - y. Suppose -2*g + 5 - 1 = v. Solve g*i = 4*i + 2 for i. -1 Let i be ((-8)/(2 - -2))/(-1). Solve 2*z + 0*z - i = 0 for z. 1 Let i = 11 + -6. Suppose -17 = -i*m - 3*u, 5*m - 4*u = u + 25. Solve -m*p - 1 - 11 = 0 for p. -3 Let u be 6/(-27) - (-6)/27. Solve u = -0*z + 3*z + 9 for z. -3 Let u(o) = 2*o**3 - 4*o**2 - 5*o - 1. Let v(x) = 2*x**3 - 5*x**2 - 6*x - 1. Let g(k) = 6*u(k) - 5*v(k). Let p be g(1). Solve -i = p*i for i. 0 Suppose -3 = -2*s + 5*h - 2, 11 = 5*s - 4*h. Solve -2*j = s*j - 5 for j. 1 Let z = -10 - -2. Suppose -20 - 3 = 2*a - 3*b, 2*b = 4*a + 34. Let l be z/(-28) + (-68)/a. Solve -2*v + l = -0*v for v. 5 Suppose -3*o - 12 = 0, -k - 2*o + 0 = 5. Solve k*s + 2*s + 15 = 0 for s. -3 Suppose -51 = -5*q + 4*t, 42 = 4*q - t - t. Let k = 17 - q. Solve -2*r - 4 = -k for r. 1 Let y(g) = -g + 3. Let i = 1 + 1. Let j be y(i). Let x be 16/(-10)*(-5)/2. Solve -x = -m + j for m. 5 Let t = -137 + 137. Solve 6*w - 11*w + 10 = t for w. 2 Suppose 5*w - 170 = -55. Suppose -n - w = -2*n. Solve -8 = -3*a - n for a. -5 Let j = -35 - -83. Let g be j/2*15/20. Solve -5*v + g = -7 for v. 5 Let s = -1 - -6. Let c = -18 + 18. Solve w - s*w = c for w. 0 Suppose -4 + 17 = d - o, 5*o + 17 = d. Solve -3*a + d = 3 for a. 3 Suppose 5*x - 23 = 2*k, -4*x + 3*x + 1 = -4*k. Solve -l + 0*l = k for l. -1 Suppose -3*y = -0*y - 4*q - 18, -5*y - 2 = 4*q. Suppose -y*v + 5 = -p - 0*p, -p = 4*v - 19. Solve 3 = -p*o - 9 for o. -4 Let n(u) be the first derivative of -1 - 1/3*u**3 + 7/2*u**2 - u. Let b be n(6). Solve 22 + 3 = b*t for t. 5 Let w(r) = -r**2 + 2*r. Let f be w(2). Let j be ((-6)/2 - -4) + f. Solve 3 = -2*l + j for l. -1 Let t be (-27)/(-12) - 2/8. Suppose -n + 3*n = -t. Let o be (0/(-2))/(1 - n). Solve 5*x = -o*x - 10 for x. -2 Suppose 0 = -0*w + 2*w - 6. Suppose 5*u - 5*c + 65 = 0, 2 = -u - 2*c - 14. Let s = -6 - u. Solve -2 + s = w*n for n. 2 Suppose c = -3*s - 10, -c + 0*s + 14 = -5*s. Let j be (2 - -1)/((-1)/c). Suppose j*r - 3 = 3. Solve h = -r*h for h. 0 Suppose -2*z = -6*z + 16. Solve 4 = -z*d + 2*d for d. -2 Suppose 4*o + 0*r - 2*r = -50, -3*o - 31 = 5*r. Let t be (2 - o/(-9))*3. Solve 0 = t*v - 7*v for v. 0 Let n(h) = h - 7. Let r = -14 - -22. Let c be n(r). Suppose -s + 1 = -c. Solve -s*p = -p + 5 for p. -5 Suppose v - 13 = 3*h, -5*h - 11 + 0 = v. Suppose 0 = v*j - 3*j. Solve j = -r - 2*r - 6 for r. -2 Let p be (2 - -1)*1 - 0. Suppose -8 - 32 = -5*d. Suppose p*n - d - 4 = 0. Solve 0 = -n*c + 8 - 20 for c. -3 Let d = 5 - -1. Suppose d = 2*s + 2. Suppose s*a = -a + 18. Solve -2*k - k = a for k. -2 Let c = 43 + -40. Solve -20 = c*y - 8*y for y. 4 Let a be ((-5)/(-3))/(1/(-3)). Let h(j) = j**2 + 9*j - 8. Let v(p) = p**2 + 10*p - 9. Let t(c) = 6*h(c) - 5*v(c). Let l be t(a). Solve -x = -l - 2 for x. 4 Let y be (8/10)/(12/60). Suppose y*f - 2*f = 4. Solve 0 = -f*d - 0*d for d. 0 Let l(i) = i**2 - 8*i + 23. Let u be l(5). Solve -u*s = -4*s + 12 for s. -3 Let z be (-1 - 1)/((-2)/6). Let v(i) = i**2 + 3*i - 13. Let k be v(-6). Solve z = k*a - 19 for a. 5 Let g = 22 - 15. Let l = 11 - g. Suppose -l = -4*y + 2*y. Solve 2 = y*d - 4*d for d. -1 Suppose 0 = -4*w + 12, -4*m + 29 = -3*w + 6*w. Solve 0*g = m*g for g. 0 Let w be (2 + 15)/(2/6). Suppose 0 = -s - 2*s + w. Let h = -12 + s. Solve 3*x = h*x - 6 for x. 3 Let k = 361 + -334. Let t(a) = -a + 4. Let c be t(4). Suppose c = -2*j + 1 + 3. Solve -5*x + k = j for x. 5 Let t(s) = -s**2 + 5*s + 1. Let p be t(4). Let y = -13 + 22. Suppose -i = -a - 3, p*i - 4*a - 3 = y. Solve i = d - 2*d for d. 0 Suppose -3 = 103*f - 104*f. Solve 2*i + f - 1 = 0 for i. -1 Let k = 2 - -7. Let q be 22/(-18) + 2/k. Let u be (2/6)/(q/(-15)). Solve -u*b = -0*b + 5 for b. -1 Let t = -4 - -8. Let n(y) = -y**3 + y**2 + 3*y + 3. Let j be n(-2). Suppose -j = -t*c - 1. Solve -c - 2 = -2*f for f. 2 Suppose -2*o - 2 = 2*z, -2*z = 4*o - 6*z - 4. Solve -2*r - 2*r + 20 = o for r. 5 Let q(v) be the second derivative of -v**4/12 - v**3/6 + 2*v**2 + v. Let h be q(0). Let s(r) = r**3 - 4*r**2 + 3. Let x be s(h). Solve 0*j + x*j = -12 for j. -4 Let p be 74/6 + (-10)/30. Suppose -s = 2, 5*s = -j + 3*j - p. Solve -j = -2*t + 3*t for t. -1 Let t be 0 + 7 + 24/(-8). Suppose 2*f + n + 2*n = 13, -16 = -2*f - t*n. Solve -3*y + f - 14 = 0 for y. -4 Suppose -5*u = -8 - 7. Solve h - 10 = u*h for h. -5 Let z = 15 - 11. Suppose g + o - 9 = -o, -3*g = -5*o - 27. Suppose 2*n - g = -b, 3*n - 5*b = n - 9. Solve -5*u + z = -n*u for u. 2 Let m(r) = -r**3 + 4*r**2 + 5*r + 2. Let p be m(5). Let z be (2/2)/(1/3). Solve p = -4*v + z*v for v. -2 Let f = 25 - 23. Solve -6*n = -f*n - 12 for n. 3 Suppose k + j = 4, 2*k + 3*j - 6 = -0*k. Solve 0 = 5*i + 4 + k for i. -2 Let f = -12 - -4. Let b be (-25)/(-2) - 4/f. Let o = b + -7. Solve -n - 15 = -o*n for n. 3 Suppose -4*c - 3*s + 11 = 0, 0 + 1 = 2*c - 3*s. Solve z - 2*z = -c for z. 2 Suppose -6 = -2*w + 10. Let q = 18 - w. Solve g - q = -g for g. 5 Let x(y) be the second derivative of y**3/6 + 3*y**2/2 - 3*y. Let v be x(0). Suppose 0*l = l - 3*c - 3, v*l + 3*c = -3. Solve 2*g + 2*g - 20 = l for g. 5 Let f(k) = -2*k. Let z(u) = u - 1. Let b(q) = f(q) + 6*z(q). Let j = -3 - -7. Let t be b(j). Solve 0 = -3*w - 2*w - t for w. -2 Let j(a) = a + 11. Let m be j(-5). Solve -m*i + 2*i + 8 = 0 for i. 2 Let m = 0 + 2. Let z(l) = -l - 3 + 4*l**2 + 6*l - 3*l**m. Let h be z(-6). Solve -5 - 1 = -h*k for k. 2 Suppose -5*d - 3*w - 9 = -4*d, 0 = 2*w + 6. Solve q - 3 = -d*q for q. 3 Let q = 5 - 2. Let a be -2 + q + 1*2. Solve a*l + 11 = 2 for l. -3 Suppose 3*y = -3*p + 45, 20 = 2*y - 4*p - 10. Let j be 2*(1 + -2) - -9. Solve 4*i = j*i + y for i. -5 Let h = -4 - -7. Let g be 10*(-1)/(0 + -1). Suppose g*p = 5*p + 30. Solve 0 = s -
{ "pile_set_name": "DM Mathematics" }
33. Let r be p(14). Suppose 89 = 3*g - 4*a, -g - 4*g + 150 = -5*a. What is the highest common factor of g and r? 31 Let f(p) = p**3 + 21*p**2 - 7*p - 35. Let g be f(-21). Suppose 64 = 4*d + i, 4*i - 10 - 38 = -3*d. What is the greatest common divisor of g and d? 16 Let g = -26 - -55. Suppose 22 = 5*l + 2*x - 117, 6 = -2*x. What is the highest common divisor of g and l? 29 Let o = -419 - -453. What is the greatest common factor of o and 6? 2 Let j be ((-112)/4)/4 + 5. Let k = j + 36. What is the greatest common factor of 374 and k? 34 Let p be (-8)/(-18)*36/8. Calculate the greatest common divisor of 128 and p. 2 Let x(r) = r**3 - 15*r**2 + 13*r - 9. Let h be x(14). Let m = h + 45. Calculate the greatest common divisor of 22 and m. 22 Let b(d) = 52*d**3 + 3*d**2 - 1. Let j = -113 + 114. Let z be b(j). Calculate the greatest common factor of z and 36. 18 Suppose 3*b - 3*u = -6, -b - b = -5*u + 10. Suppose b = -4*w + 438 - 118. Suppose 0 = 5*h - 2*h - 96. Calculate the highest common factor of w and h. 16 Suppose 3*c - 17 = 31. Suppose 68 = c*h - 12*h. What is the greatest common divisor of 85 and h? 17 Let v(q) = q + 516. Let c be v(0). Let t = 319 - c. Let m = 384 + t. What is the highest common divisor of m and 17? 17 Suppose -564 = 18*n - 1950. Calculate the greatest common divisor of 21 and n. 7 Let j be (5/(-2))/((-11)/(3960/50)). What is the highest common divisor of 126 and j? 18 Let g be (-3)/3 - (-2 - 87). Let r be 4 - -1 - (1 - (-3 + 3)). Suppose 4*j = 2*a - 8 - 0, 38 = r*a + 3*j. What is the highest common divisor of a and g? 8 Suppose -4*i = i - 3*z - 344, 0 = 4*z - 8. What is the highest common divisor of i and 1890? 70 Let r(l) = l**2 - 3*l + 4. Let p be (2 - 5)/(2 - 3). Let n be r(p). Suppose 318 - 38 = n*q. Calculate the highest common factor of q and 10. 10 Let a be ((-8)/12)/((-1)/18). Suppose 5*i - 37 = -a. Suppose 2*z - 83 = -3*b + 242, 0 = i*b + 3*z - 540. Calculate the greatest common divisor of 15 and b. 15 Let z = -41 - -71. Suppose 5*b = -10, 0 = -3*i + 5*i - 4*b - 248. Suppose 4*a = 10*a - i. Calculate the greatest common divisor of a and z. 10 Let c = 8 - 7. Let h = -721 - -723. Calculate the greatest common divisor of h and c. 1 Let r = 37 - 6. Suppose -r*m + 180 = -29*m. Suppose 3*x + 2*h + 68 = 5*x, -2*h + 112 = 3*x. Calculate the greatest common factor of x and m. 18 Suppose 0 = -0*t + 2*t - 4. Suppose -t*z + 5*b = 3*z + 5, -2*z + 18 = 2*b. Suppose -24 = -z*d - 4. What is the greatest common factor of 10 and d? 5 Suppose -5*d + 1 = -2*o, -4*o - 2 = -6*o + 2*d. Let x(q) = 3*q - 2*q + 4 - 2*q - o. Let a be x(-3). What is the highest common factor of a and 5? 5 Let z(v) = 14*v**2 + 10*v + 24. Let y be z(-4). Let h = y - 87. Let s be 2/(24/11 + -2). What is the highest common divisor of s and h? 11 Let g = 1380 + -1146. What is the greatest common factor of g and 54? 18 Suppose -2*s = -f - 14, s - f + 6 = 3*s. Let x(i) = 4*i + 1. Let m be x(s). Let h be (4/6)/(6/567). What is the greatest common divisor of m and h? 21 Let r = -5 + 14. Suppose -118*m + 124*m = 216. What is the greatest common divisor of m and r? 9 Let p = -27 + 13. Let v be (p/8)/(5/(-40)). Let s = 270 + -158. Calculate the highest common divisor of s and v. 14 Let r be (1030/(-20) + -1)*18/(-5). What is the highest common divisor of 54 and r? 27 Let h = -95 - -123. What is the greatest common factor of 42 and h? 14 Suppose -5*w = -1 - 179. What is the greatest common divisor of 45 and w? 9 Let w(m) = 2*m**2 - 14*m + 20. Let a be w(8). Suppose -7*d = -10*d + a. Suppose d*y - 9*y = 96. What is the greatest common divisor of y and 160? 32 Let n be ((-6)/(-2) - 3) + 1. Suppose d - 16 = 4*t - t, 3*d - 8 = t. Suppose 0*y - y + 3*w + d = 0, -9 = -y - w. What is the highest common factor of n and y? 1 Let k = 43 + -15. Calculate the highest common divisor of k and 210. 14 Suppose -335 + 106 = -n + v, n - 5*v = 221. What is the highest common factor of 63 and n? 21 Let m = 27 + -13. Suppose -397 = -8*p - 285. Calculate the greatest common factor of p and m. 14 Suppose 12*o - 18*o + 1188 = 0. What is the greatest common factor of o and 44? 22 Let q = 278 + -235. Calculate the greatest common factor of 301 and q. 43 Let q = -67 - -74. Suppose q*v - 2 = 12. What is the highest common divisor of 11 and v? 1 Suppose j + d = -4*j - 99, -2*j = d + 39. Let u be (3/6)/((-2)/j). Suppose u*x - 62 = -4*w, 3*w = 4*w + 2. Calculate the greatest common divisor of x and 42. 14 Suppose -t = -0 - 15. Suppose -3*h = -3*f - 611 + 206, 0 = h + 5*f - 135. What is the highest common divisor of h and t? 15 Let w(m) = 11*m - 39. Let f be w(9). Let t = f + 369. What is the highest common divisor of 39 and t? 39 Suppose 16 = -4*m + 6*m. Let b = -7 + m. Let z(i) = i + 1. Let v be z(b). Calculate the greatest common divisor of 18 and v. 2 Let v(h) be the third derivative of -11*h**4/24 - 2*h**3/3 - 8*h**2. Let s be v(-4). Calculate the highest common divisor of 16 and s. 8 Suppose -3*y - 4*k = y, 4*y - 2*k + 6 = 0. Let p be y/4 + 6/(-8). Let q(w) = 11*w**2 + 2*w + 1. Let z be q(p). Calculate the greatest common divisor of 5 and z. 5 Let c = 2559 + -2487. Suppose 45 = 7*w - 2*w. What is the greatest common divisor of c and w? 9 Let v = 905 + -709. What is the highest common factor of v and 168? 28 Suppose -3*v + 3*j + 126 = 0, 2*j + 2*j - 255 = -5*v. Let c = 71 - v. Calculate the greatest common divisor of c and 24. 24 Let h be 8*(-5)/(20/(-18)). Suppose -h + 9 = -9*g. What is the greatest common divisor of 33 and g? 3 Let n(s) = -3*s + 5. Let x(t) = 2*t - 3. Let q(z) = 3*n(z) + 7*x(z). Let y be q(3). Let r be -6 + y + (0 - -13). What is the highest common factor of 2 and r? 2 Suppose 11 = -2*a - 5*q, -a = -6*q + 3*q - 11. Suppose 0*i - 52 = -a*i. Let d be (2*10/(-60))/((-1)/39). Calculate the greatest common divisor of d and i. 13 Let r(m) = -m**2 - 8*m + 9. Let d be r(-8). Let w(c) = -2*c**3 + 19*c**2 - 8*c - 6. Let t be w(d). Calculate the highest common divisor of t and 27. 3 Suppose 3*d - 356 = -3*a - 2*d, 0 = -5*a - 3*d + 572. What is the highest common divisor of a and 140? 28 Suppose 0 = -82*w + 81*w + 30. Let o be (-4)/6*3 + 2. Suppose -4*y + 28 + 32 = o. Calculate the greatest common divisor of y and w. 15 Suppose 0 = -5*i - 15 + 45. Suppose 4 = l - 2. Suppose -l*u + 11*u = 30. Calculate the greatest common factor of u and i. 6 Let u = 30 + -134. Let m = -83 - u. What is the greatest common divisor of m and 231? 21 Let g = -3 + 5. Suppose 3*b + w - 23 = 6*w, -g*b - 3*w = 10. What is the greatest common factor of 7 and b? 1 Suppose 3*a - 3*h = 102, 11*a + 5*h - 200 = 6*a. What is the greatest common factor of a and 1? 1 Suppose 3*b - 48 = -s - 2*s, -2*s - 1 = -b. Let t(c) = c**2 + 9*c + 9. Let q be t(-15). What is the highest common factor of q and b? 11 Let i be (-60)/(0 + -10) - -3. Suppose -4*k = -0*k - 360. What is the highest common factor of i and k? 9 Suppose -j + 2 = 0, 0*r + 4*r + 4*j + 140 = 0. Let w = -15 - r. Calculate the greatest common factor of 2 and w. 2 Let q be 29 + 2 - (9 + -5). Let n(z) = z + 16. Suppose -3*w = c + 2*c + 27, -2*w - 4 = -5*c. Let p be n(w). What is the highest common divisor of p and q? 9 Let c(g) = -g**2 + 17*g + 8. Let l = 5 - -12. Let j be c(l). Calculate the greatest common factor of j and 64. 8 Suppose -5*r = 0, -3*t + 2*r - 88 + 352 = 0. What is the highest common divisor of t and 66? 22 Let g = 579 + -492. Calculate the greatest common factor of g and 1073. 29 Let y(d) = -d**2 + 10*d - 5. Let l be y(5). Suppose -l = 5*r - 60. Let b be ((-10)/r)/((-1)/12). Calculate the highest common factor of b and 60. 15 Let k(j) = 2*j + 2. Let x be k(11). Suppose 0 = -2*m - 5*u - 17, 2*u = m - 2*u - x. What is the highest common divisor of 12 and m? 4 Suppose 12 = -6*t + 9*t. Let z be 1 + t + 2 - 3. Let h(i) = 4*i**2 + 4*i + 2. Let x be h(-2). Calculate the highest common factor of x and z. 2 Let y = 176 - 16. Let t be 61 + 2 + -2 + 8 + (-30)/6. Calculate the greatest common divisor of y and t. 32 Let w = 26 + -21. Suppose -307 = -w*t + 298. Let h = -69 + t. What is the highest common factor of 78 and h? 26 Let o = 0 + 2. Suppose -o*n = -8*n. Suppose 4*b - 33 - 71 = n. What is the highest common factor of 234 and b? 26 Let v(x) = x**3 + 8*x**2 - 7
{ "pile_set_name": "DM Mathematics" }
True Which is smaller: 1 or 0.23289? 0.23289 Which is smaller: -2 or -10/11? -2 Which is smaller: 10.22 or -96/17? -96/17 Which is bigger: -904530 or -904533? -904530 Which is bigger: 5 or 0.833? 5 Which is smaller: -1/10 or -0.174827? -0.174827 Is 66 at least -299? True Which is greater: 1040 or 1079? 1079 Is 1619 not equal to 1867? True Is 1455.18 at least as big as 0.4? True Is -315 not equal to -350? True Is 3103 bigger than 3102? True Is -3543 >= -3195? False Which is smaller: 7949 or 7957? 7949 Which is greater: 113 or 857? 857 Which is bigger: 482.25 or -0.84? 482.25 Is 35679 > 35678? True Does -1/59 = 14544? False Does -132 = -1713/13? False Which is greater: 4/755295 or 1? 1 Is 0 smaller than -9/2222? False Is 1/2 bigger than 2/278393? True Which is bigger: 0.020898 or -2/51? 0.020898 Which is smaller: 1375 or -172? -172 Which is greater: -0.2 or 58513? 58513 Is -1 < -7774? False Is -30281 < -30315? False Is -78 < 3620? True Is -408991/6 not equal to -68164? True Is -27 less than or equal to -14193? False Which is greater: 0.193 or 2046/7? 2046/7 Which is smaller: -42516 or -42517? -42517 Is 1964 < 1541? False Which is greater: 37672 or 37678? 37678 Which is smaller: -352986 or 1? -352986 Is 9364 > -2/7? True Which is smaller: -12/11249 or -1? -1 Which is smaller: 1 or 21/9908? 21/9908 Which is smaller: -1/124015 or -1? -1 Is -55954 > -55963? True Is -77384/7 at most -11056? False Which is smaller: -38172 or -38177? -38177 Is 9577 greater than or equal to 9603? False Are 84135 and 84134 non-equal? True Which is bigger: -69041 or 1.2? 1.2 Which is bigger: -111 or -29? -29 Which is bigger: -1/2054958 or 0? 0 Which is greater: -13047 or -13049? -13047 Is -1 >= -2397727? True Which is bigger: 86 or -2.5? 86 Which is smaller: -1 or 1/48355? -1 Is -14/7465 > 1? False Is 40499 greater than 1.4? True Which is smaller: 102719/35 or 2935? 102719/35 Which is smaller: 136609 or 0? 0 Is 1907883 < 1907883? False Which is greater: 0.1 or 90462? 90462 Is 37786/19 greater than or equal to -1? True Is 126758 < 126765? True Which is smaller: 0 or 5.832? 0 Which is smaller: 0 or 1/51224? 0 Which is smaller: -112869 or -3/2? -112869 Is 26 smaller than 1550/59? True Is 374/81 at most as big as 6? True Which is bigger: 444411 or 1777641/4? 444411 Is 1/428 bigger than 5/8? False Which is greater: -0.02276 or -17? -0.02276 Which is greater: -7369 or -7363? -7363 Is -1 at most as big as 4/2270893? True Which is greater: -352/9347 or 1? 1 Which is bigger: -7 or -11740/1387? -7 Is 5 > 2/239? True Do -2/829 and -261.9 have the same value? False Is -10/1157 < -9/7? False Is -560 > 1/2? False Which is bigger: -15/12353 or -1? -15/12353 Which is bigger: 682 or 595? 682 Is -198022 not equal to -198010? True Is -1 greater than 1/258213? False Which is smaller: 1 or -32/6001? -32/6001 Is 1810 at most as big as 1816? True Which is smaller: -1570 or -928? -1570 Is 6237 != -3/178? True Is 59/3679 >= -1? True Which is smaller: 13859 or 13852? 13852 Which is bigger: 10 or 1003/92? 1003/92 Is -1604 at least 2.8? False Which is greater: -1 or -6/25211? -6/25211 Is -30/846151 bigger than 0? False Is 1247956 at most as big as 1247955? False Is -71/935 < 0? True Is 835 greater than 841? False Are -634 and -594 unequal? True Which is bigger: 182709 or 182712? 182712 Is 758 >= 6? True Which is smaller: -2/7 or 4.014? -2/7 Is -15289 greater than or equal to -198750/13? False Do -3 and -73359 have different values? True Is 1792 > 1791? True Which is smaller: -6162 or -6165? -6165 Which is smaller: 597 or 10173/17? 597 Which is smaller: 4/7 or -1464.35? -1464.35 Is -2244 not equal to -2259? True Does 2376 = 1607? False Are -86203 and -86203 non-equal? False Which is greater: 0.2 or 0.11843? 0.2 Is -101649 greater than -101645? False Which is smaller: -3 or -1219/495? -3 Which is greater: 2702 or 2711? 2711 Is 118/9889 greater than 0? True Which is greater: 0 or 49238/13? 49238/13 Is 54 bigger than 152? False Which is greater: 21/1187 or 1? 1 Which is greater: 607 or 238? 607 Which is smaller: -13 or -0.060629? -13 Which is bigger: -5840 or -5849? -5840 Which is bigger: -12238 or -29? -29 Which is bigger: -1521/187 or -9? -1521/187 Is -61/5 at least as big as -1.4448? False Is -208/77 != -5? True Is 1.12 >= 0.5034? True Do -1128 and -1855 have the same value? False Which is smaller: -8469 or -8468? -8469 Is -14074 less than -13995? True Is 10904/133 at most as big as 81? False Is -164 less than -15/22? True Which is smaller: -1 or 664/4591? -1 Do -293 and -228 have different values? True Is 5368 at least as big as 5390? False Which is smaller: -2542 or 96? -2542 Are -24 and -169/7 unequal? True Are -672557 and -672557 unequal? False Do 357545 and 357544 have different values? True Which is smaller: -3743715 or -3743716? -3743716 Which is greater: -1 or 24/137651? 24/137651 Is 45264 < 45265? True Which is greater: 13209 or 13185? 13209 Is 0 at most as big as 106/8727? True Do 0 and -1/6438278 have different values? True Is 23/91211 greater than 0? True Is -1/3380 greater than 0.13? False Which is greater: -2/1544631 or -2/13? -2/1544631 Is 40/7 at least -326? True Is -5532000 >= 1? False Which is smaller: -85139 or -85138? -85139 Which is bigger: 0 or -3/134855? 0 Which is bigger: -34080 or -34081? -34080 Is -78269 not equal to -78272? True Is -35546 equal to -35546? True Is -0.776056 smaller than 0.2? True Is 2 < -16277? False Is 0 > -148/108773? True Is 28331 less than or equal to 2? False Is 2/5 <= 23/215? False Which is bigger: -1419376 or -0.3? -0.3 Which is greater: 0 or -487/15142? 0 Which is greater: -15265 or -14837? -14837 Which is bigger: -8299 or -8313? -8299 Are -2891 and -3051 non-equal? True Are -11227 and -11213 equal? False Is -1 < 10/829? True Which is bigger: 86949 or 86945? 86949 Is 384 at least 28497/74? False Do 1269 and 1219 have the same value? False Which is smaller: 3488 or 3524? 3488 Is 3/110212 at most as big as -1? False Which is smaller: 24070 or 24072? 24070 Which is bigger: 292 or 1014? 1014 Are -135073 and -135066 nonequal? True Which is bigger: -644510 or -644508? -644508 Which is greater: 19696 or 19702? 19702 Is 1590 equal to 24? False Is -668425 <= -668422? True Is -540 smaller than 11? True Which is smaller: 1 or -23/9234? -23/9234 Is 2.24 greater than or equal to 15/62? True Which is smaller: -10 or 0.4? -10 Which is smaller: 3464 or 3533? 3464 Is 166/13843 smaller than -1? False Does 922 = 874? False Is 584877/7 less than 83553? False Which is smaller: -1832 or -1821? -1832 Which is greater: -892104 or -892101? -892101 Which is bigger: -36 or 220? 220 Do -86914/7 and -12417 have different values? True Is 1 at least -74/213107? True Which is smaller: -759 or -136? -759 Which is smaller: -6758 or -94629/14? -94629/14 Which is greater: -15696 or -15701? -15696 Which is smaller: -5799256 or 0? -5799256 Which is smaller: 63195 or 252775/4? 252775/4 Which is smaller: -7692 or -7711? -7711 Are 20 and 1499 equal? False Which is greater: 1 or 361164/11? 361164/11 Is 17.6 greater than or equal to -3048/13? True Which is bigger: 272/7 or 1841? 1841 Which is smaller: 2834/1327 or 3? 2834/1327 Do 687 and 54.6 have the same value? False Which is bigger: 1 or -29/252965? 1 Is 2690542 <= 8071630/3? True Which is bigger: 0 or 47/947? 47/947 Is -1 <= 4/82449? True Which is smaller: 1 or 15/6556? 15/6556 Which is smaller: 175 or -2801? -2801 Which is smaller: -337503 or -337504? -337504 Which is smaller: 113066/69 or 1640? 113066/69 Which is bigger: 64313 or 64312? 64313 Which is smaller: 24 or 1514/61? 24 Which is greater: 142 or 4.219? 142 Is -1 greater than 2/348753? False Which is bigger: -328812 or -328806? -328806 Are 0.1 and -6020076 non-equal? True Which is smaller: 72/1945 or 0? 0 Which is bigger: -5467 or -81983/15? -81983/15 Are 38982 and 38981 unequal? True Which is bigger: 227638 or 227642? 227642 Which is greater: -149537 or -149538? -149537 Which is smaller: 171075 or 3? 3 Which is greater: -0.5 or 596/13? 596/13 Which is smaller: 1306 or 1310? 1306 Which is bigger: 3473/2103 or 3? 3 Which is bigger: 38 or 21167? 21167 Which is smaller: 21/31 or -0.029? -0.029 Is 77834/5 >= 15566? True Which is bigger: -2160 or -23745/11? -23745/11 Is -3765 !=
{ "pile_set_name": "DM Mathematics" }
p**2 + p - 2 Let o(y) = -2*y + 1. Let v(k) = -3*k + 1. Determine 7*o(s) - 5*v(s). s + 2 Let n(r) = -2*r**3 + 6*r**2 - 2*r. Let z(j) = -6*j - 93. Let a be z(-17). Let b(k) = 4*k**3 - 13*k**2 + 4*k. What is a*n(m) + 4*b(m)? -2*m**3 + 2*m**2 - 2*m Let w(a) = -1 - 266*a + 135*a + 135*a. Let k(n) = -5*n + 1. Determine 2*k(p) + 3*w(p). 2*p - 1 Let u(v) = -2*v**3 - 5*v**2 - 5*v - 6. Let f be -6 - (3/1)/(-3). Let s(m) = m**2 + m + 1. Determine f*s(o) - u(o). 2*o**3 + 1 Let q(u) = -3. Let v(b) = 5. Let y(f) = -8*q(f) - 5*v(f). Let l(m) be the second derivative of m**4/12 - 3*m**2/2 + 5*m. Calculate 2*l(d) - 6*y(d). 2*d**2 Let p(g) = 4*g + 9. Let i(y) = 8*y**3 - 1. Let x be i(1). Let q = -36 + 32. Let a(s) = -3 + 8 + 2*s + 0. Calculate q*p(k) + x*a(k). -2*k - 1 Let f(p) be the first derivative of 9 - 1/3*p**3 - 3*p + 0*p**2. Let r(t) = 2*t**2 + 5. Give -8*f(w) - 5*r(w). -2*w**2 - 1 Let o(p) = -9*p - 2. Let m(s) = -1 - 8*s - 3 + 1 + 1. Give 7*m(h) - 6*o(h). -2*h - 2 Let l(t) = -7*t**2 + 4*t + 7. Let d(n) = -4*n**2 + 2*n + 4. Let c = -1 + -2. What is c*l(a) + 5*d(a)? a**2 - 2*a - 1 Let t(b) = 2. Let q(g) = 4 + 3*g**2 + 2*g**2 + 7 - 4*g**2. Let x = -5 - -3. Let k(z) = 4*z**2 - 3*z + 1. Let d be k(2). What is d*t(f) + x*q(f)? -2*f**2 Let m(w) = -14*w + 3. Let f(h) = 363*h - 77. Determine -3*f(q) - 77*m(q). -11*q Let y(l) = -9*l**3 - 17*l**2 - 11*l - 13. Let d be -9*(-1 + 5/3). Let w(k) = 4*k**3 + 8*k**2 + 5*k + 6. Calculate d*y(n) - 13*w(n). 2*n**3 - 2*n**2 + n Let m(w) = 2*w - 7. Let p(b) = -3*b + 8. What is -4*m(x) - 3*p(x)? x + 4 Let l(y) be the third derivative of y**6/30 - 7*y**5/60 - y**4/6 - 5*y**3/6 - 9*y**2. Let v(i) = -5*i**3 + 8*i**2 + 5*i + 6. Calculate -6*l(b) - 5*v(b). b**3 + 2*b**2 - b Let b(g) be the second derivative of g**3/2 + g**2 + g. Suppose -2 = -2*f + 18. Suppose 2*v - f - 6 = 0. Let c(k) = 2*k + 1. Determine v*c(l) - 5*b(l). l - 2 Let n(j) = -3*j + 9. Let g(l) = -l - 1. Let b(c) = 2*g(c) + n(c). Let x(t) = 2*t - 3. Determine 6*b(o) + 14*x(o). -2*o Let f(w) = 15 - 19 - w - 7. Let p(j) = j + 6. What is 4*f(k) + 7*p(k)? 3*k - 2 Let o(c) = -2*c**3 - 2*c**2 - 3*c - 1. Let g(k) be the second derivative of -k**5/20 - k**4/12 - k**3/6 - 2*k. Determine -6*g(a) + 2*o(a). 2*a**3 + 2*a**2 - 2 Let j(g) = g**3 + 3*g**2 - 4*g - 2. Let d(q) = 2*q**3 + 7*q**2 - 9*q - 5. Suppose -7*c + 30 = -12*c + p, -5*c - 60 = 5*p. What is c*j(n) + 3*d(n)? -n**3 + n - 1 Let g(l) = l + 1. Let r(y) = 4*y. What is -3*g(m) + r(m)? m - 3 Let t be -1 - -2 - (6 + -8). Let p(q) = -3 + 0*q - 3 - 2*q + t*q. Let r(v) = v - 7. Calculate -5*p(k) + 4*r(k). -k + 2 Let m = -1 - -5. Let o(b) be the first derivative of -5*b**4/24 - b**2 - 2. Let i(l) be the second derivative of o(l). Let g(v) = 11*v. Give m*g(w) + 9*i(w). -w Suppose 0 = 2*p + 7*p + 18. Let g(a) = a - 1. Let v(u) = 3*u - 4. Calculate p*g(m) + v(m). m - 2 Let o(n) = 4*n**2 - n - 6. Let r(y) = 2*y**2 - y - 3. Calculate -6*o(l) + 13*r(l). 2*l**2 - 7*l - 3 Let t(c) = -4*c**2 - 2*c - 4. Let f(z) = -2*z**2 - z - 2. Let g(a) = -a + 1. Let b be g(-6). Let q = -16 - -13. Give b*f(o) + q*t(o). -2*o**2 - o - 2 Let t(i) = 7*i - 9. Let a(r) = 0*r - 9*r + r + 10 + 0*r. Calculate 6*a(q) + 7*t(q). q - 3 Let y(b) = 36*b**3 - 5*b**2 + 5*b - 5. Let w(x) = 18*x**3 - 2*x**2 + 2*x - 2. What is 5*w(u) - 2*y(u)? 18*u**3 Let h(a) = -8*a**2 - 16*a - 16. Let d(z) = z + 1. Determine -16*d(o) - h(o). 8*o**2 Let f(z) = z**3 + z**2 - z + 1. Let r(o) = 5*o**3 + 7*o**2 - 7*o + 7. Let u(d) = 6*f(d) - r(d). Let g(t) = 3*t**3 - 4*t**2 + 2*t. Give -g(a) + 2*u(a). -a**3 + 2*a**2 - 2 Let k(q) = 5*q**3 + 5*q**2 + 2*q. Let w(d) = -9*d**3 - 9*d**2 - 4*d. What is 11*k(s) + 6*w(s)? s**3 + s**2 - 2*s Let z(y) = -2*y**3 - y + 6*y**3 - 1 + 2*y - 3*y. Let h be z(-1). Let r(q) = -q**2 + 3*q. Let l(j) = -j. Give h*l(f) - r(f). f**2 Let o = 2 - 0. Let c(v) = 5 - 2 - 17*v**o - 14*v**3 + 20. Let x = 24 - 30. Let g(n) = 5*n**3 + 6*n**2 - 8. Determine x*c(j) - 17*g(j). -j**3 - 2 Let s(m) = m. Let v(k) = -k - 4. Let r(u) = 2*s(u) + v(u). Let j be 10/(-4)*(-3 + 1). Let z(d) = 3*d + 3*d - 5 - j*d. What is 7*r(l) - 6*z(l)? l + 2 Let s(l) = 5*l**2 + 4*l + 4. Let b(w) = -4*w**2 - 3*w - 3. What is -4*b(y) - 3*s(y)? y**2 Let i(p) = -p**2 + 4*p. Let b(w) = 2*w**2 - 7*w. Let x be ((-1)/(-3))/(2/102). Let g = -26 + x. Let y = g + 13. Give y*b(c) + 7*i(c). c**2 Let w(q) = 13*q + 48. Let r(o) = -3*o - 12. Calculate 9*r(n) + 2*w(n). -n - 12 Let x(d) = -7*d**3 - 2*d**2 + 2*d - 1. Let g(z) = -z**2 + z + 1. Determine 2*g(t) - x(t). 7*t**3 + 3 Suppose 0 = -4*i - 4 - 16. Let u(f) = 2*f**2 - 2*f. Let p(k) = -2*k**2 + k. Calculate i*p(w) - 4*u(w). 2*w**2 + 3*w Let n(f) = -440*f**2 - 121*f - 121. Let b(c) = -11*c**2 - 3*c - 3. Determine -242*b(d) + 6*n(d). 22*d**2 Let o(h) = -2*h**3 - h**2 + 1. Let a(x) be the first derivative of x**4/4 + x**3/3 - x - 2. Let r(p) = 5*p - 3. Let y be r(1). Determine y*a(s) + 2*o(s). -2*s**3 Let g(u) = u**2 - u. Let k(w) = w**3 + 2*w**2 + 5*w. Calculate 2*g(o) - k(o). -o**3 - 7*o Let w(y) = -2*y**3 - 3*y**2 - y + 3. Let o be -1 + (-4)/(-6)*6. Let l(b) = -b**3 - b**2 + 1. Calculate o*l(g) - w(g). -g**3 + g Let t(s) = 2*s**2 + 5*s + 9. Let j(f) = -f**2 - 2*f - 4. Determine 5*j(a) + 2*t(a). -a**2 - 2 Suppose 4*f + 8 = -2*n, 0 = -0*n - n. Let q(k) = -1. Let w(v) = -5*v - 10. Let j(a) = -4*q(a) + 2*w(a). Let h(m) = 2*m + 3. Calculate f*j(g) - 11*h(g). -2*g - 1 Let z(o) = o - 2. Let n(m) = 2*m - 2. Calculate -6*n(t) + 5*z(t). -7*t + 2 Let c(k) = 3*k - 4. Let b(g) = g - 2. Give 7*b(h) - 3*c(h). -2*h - 2 Let r(j) = -j**2 + j. Let i(m) = 32*m**2 - 4*m. Calculate i(f) + 4*r(f). 28*f**2 Let i(y) = 5*y**2 - 2*y - 2. Let q(w) = 2*w - 1. Let f = 9 - 5. Let m be q(f). Let n(h) = 9*h**2 - 4*h - 3. Give m*i(p) - 4*n(p). -p**2 + 2*p - 2 Let u(r) = -r**2. Let k(j) = -3*j**2 - 2*j - 3. Give k(y) - 4*u(y). y**2 - 2*y - 3 Let h(x) = -9*x**3 + 12*x + 5. Let q(u) = 5*u**3 - 6*u - 3. Give 3*h(y) + 5*q(y). -2*y**3 + 6*y Let y(i) = -7*i**2 + 4*i - 4. Let l(a) = -6*a**2 + 3*a - 3. Give 3*l(n) - 2*y(n). -4*n**2 + n - 1 Let y(f) = 279*f - 31. Let r(v) = 56*v - 6. Give 31*r(c) - 6*y(c). 62*c Let m(b) = b**3 - b**2 - 3. Let s(i) = 5*i**3 - 5*i**2 - 16. Let c be ((-20)/(-25))/((-2)/10). What is c*s(r) + 22*m(r)? 2*r**3 - 2*r**2 - 2 Let t(f) = -f**3 + f**2 - 1. Let m(w) = -4*w**3 + 3*w**2 - 3. Let x(b) = -b**2 + 8*b - 9. Let q be x(6). Give q*t(s) - m(s). s**3 Let k(i) = -2*i - 7. Let q = -11 - -7. Let j(h) = h + 4. Calculate q*k(r) - 7*j(r). r Let m(c) = c - 8. Let x(t) = 1. Determine 2*m(w) + 22*x(w). 2*w + 6 Let k(y) = -1. Let g(w) = -13*w - 4. Calculate -g(n) + 4*k(n). 13*n Let p(x) = 49*x**3 + 9*x**2 - 5*x - 5. Let y(c) = -12*c**3 - 2*c**2 + c + 1. Calculate 2*p(f) + 9*y(f). -10*f**3 - f - 1 Let v be 2/(-5) + 138/(-30). Let t(i) be the third derivative of 5/24*i**4 + 0 + 0*i - 2/3*i**3 + i**2. Let f(o) = 9*o - 7. Calculate v*t(s) + 3*f(s). 2*s - 1 Let r(g) = 20*g**3 + 32*g**2 - 17. Let v(w) = 7*w**3 + 11*w**2 - 6. What is -6*r(q) + 17*v(q)? -q**3 - 5*q**2 Let o(h) = 7*h**3 - 5*h**2 - 5*h + 7. Let f(s) = 8*s**3 + 3*s - 12*s**3 - 4 + s**2 + 2*s**2. Determine -5*f(j) - 3*o(j). -j**3 - 1 Let k(i) = -2*i**3 - 5*i. Let b(d) = d**3. Let x(g) = 4*g + 0 + 8*g**3 + 0. Let j(m) = -6*b(m) + x(m). Suppose -5*u + 0 = 25. Determine u*j(z) - 4*k(z). -2*z**3 Let w(m) = -m**3 - m. Let f(i) = 3*i**3 + 3*i + 1. Determine -f(g) - 4*w(g). g**3 + g - 1 Let v(x) = 11*x**3 + 3. Let h = 9 + -23. Let l = -10 - h. Suppose -l*b = 12, 2*d - 6*d + 3 = 3*b. Let t(j) = 4*j**3 + 1. Determine d*v(y) - 8*t(y). y**3 + 1 Suppose -q = -2*j - 5, -q - 5*j - 4 = 5. Let o(r) be the second derivative of r**3/6 - 3*r. Let v(l) = -4*l - 1. Calculate q*v(k) + 2*o(k). -2*k - 1 Let z(f) = f - 1. Let s(y) = -3*y + 3. Let x(a) = -3*s(a) - 7*z(a). Let n(j) = j - 2. What is 7*n(p) - 6*x(p)? -5*p - 2 Let u(f) be the second derivative of -f**4/12 - 5*f**3/6 + f - 1. Let y(n) = n**2 + 6*n. Give 4*u(l) + 3*y(l). -l**2 - 2*l Let d(h) = -h - 188 - h + 7*h + 181. Let y be 52/(-6) - (-2)/3. Let q = y + 11. Let n(t) = -2*t + 3. What is q*d(w) + 7*n(w)? w Let k(y) = -6*y + 2. Let j(m) = 7*m - 3. Let d(g) = -2*g + 3. Let v be d(4). What is v*j(f) - 6*k(f)? f + 3 Let l(y) = -4*y**2 + y + 9. Let p(o) = -6*o**2 + 2*o + 14. Let w be (0 - 1)*11/(-1).
{ "pile_set_name": "DM Mathematics" }
4659, 7208? -w**3 + 287*w**2 + 27*w + 23 What is the v'th term of -1401, -1316, -1231? 85*v - 1486 What is the y'th term of 35, 218, 633, 1370, 2519, 4170, 6413, 9338? 15*y**3 + 26*y**2 - 6 What is the l'th term of -219, -856, -1901, -3348, -5191, -7424, -10041, -13036? l**3 - 210*l**2 - 14*l + 4 What is the o'th term of -33, -125, -257, -423, -617, -833, -1065? o**3 - 26*o**2 - 21*o + 13 What is the j'th term of -191129, -191128, -191127? j - 191130 What is the t'th term of -7183, -14289, -21399, -28513, -35631, -42753, -49879? -2*t**2 - 7100*t - 81 What is the h'th term of -62109, -124222, -186335? -62113*h + 4 What is the j'th term of 85, 68, 47, 46, 89, 200? 4*j**3 - 26*j**2 + 33*j + 74 What is the n'th term of 121066, 242088, 363110, 484132, 605154, 726176? 121022*n + 44 What is the n'th term of -67802, -67791, -67758, -67691, -67578? 2*n**3 - n**2 - 67803 What is the v'th term of 19684, 78732, 177146, 314926, 492072, 708584? 19683*v**2 - v + 2 What is the d'th term of -412, -1917, -4426, -7939? -502*d**2 + d + 89 What is the r'th term of 62583, 62584, 62585, 62586, 62587, 62588? r + 62582 What is the u'th term of 325, 195, -21, -323? -43*u**2 - u + 369 What is the d'th term of -48, 15, 108, 219, 336? -2*d**3 + 27*d**2 - 4*d - 69 What is the r'th term of -621, -555, -495, -435, -369, -291, -195, -75? r**3 - 9*r**2 + 86*r - 699 What is the h'th term of 13311, 26623, 39935, 53247? 13312*h - 1 What is the m'th term of -739, -5913, -19955, -47299, -92379? -739*m**3 - m + 1 What is the a'th term of 101556, 203109, 304662, 406215? 101553*a + 3 What is the m'th term of -105121, -105132, -105157, -105202, -105273, -105376? -m**3 - m**2 - m - 105118 What is the w'th term of -40913, -163621, -368135, -654455, -1022581, -1472513? -40903*w**2 + w - 11 What is the u'th term of 28, -21, -108, -233? -19*u**2 + 8*u + 39 What is the o'th term of 52413, 52416, 52431, 52464, 52521, 52608, 52731, 52896? o**3 - 4*o + 52416 What is the s'th term of -1898, -1578, -1044, -296, 666, 1842, 3232? 107*s**2 - s - 2004 What is the v'th term of -22, -231, -436, -637, -834? 2*v**2 - 215*v + 191 What is the p'th term of -25287851, -25287850, -25287849, -25287848, -25287847, -25287846? p - 25287852 What is the o'th term of 134, 486, 1060, 1850, 2850? -o**3 + 117*o**2 + 8*o + 10 What is the j'th term of -32277, -32278, -32279, -32280, -32281? -j - 32276 What is the b'th term of -1399, -1357, -1299, -1231, -1159, -1089? -b**3 + 14*b**2 + 7*b - 1419 What is the z'th term of -552, -1971, -4336, -7647, -11904? -473*z**2 - 79 What is the c'th term of 924, 166, -592? -758*c + 1682 What is the r'th term of -97005, -388008, -873009, -1552008, -2425005, -3492000, -4752993? -96999*r**2 - 6*r What is the z'th term of 3722, 7450, 11178, 14906, 18634? 3728*z - 6 What is the u'th term of -259, -785, -1653, -2857, -4391? u**3 - 177*u**2 - 2*u - 81 What is the a'th term of 2413, 2393, 2373, 2353, 2333, 2313? -20*a + 2433 What is the r'th term of 3130, 6266, 9400, 12532, 15662, 18790, 21916? -r**2 + 3139*r - 8 What is the v'th term of -3909, -15672, -35275, -62718, -98001, -141124? -3920*v**2 - 3*v + 14 What is the q'th term of 689, 1398, 2011, 2480, 2757, 2794? -8*q**3 + 765*q - 68 What is the g'th term of 10762, 10750, 10736, 10720, 10702, 10682? -g**2 - 9*g + 10772 What is the c'th term of 23, 103, 289, 635, 1195, 2023, 3173, 4699? 9*c**3 - c**2 + 20*c - 5 What is the n'th term of 6, 13, 68, 195, 418, 761? 4*n**3 - 21*n + 23 What is the b'th term of -4147, -8258, -12337, -16384, -20399? 16*b**2 - 4159*b - 4 What is the m'th term of 6274, 21559, 47034, 82699, 128554? 5095*m**2 + 1179 What is the p'th term of -380, -932, -1880, -3230, -4988, -7160? -p**3 - 192*p**2 + 31*p - 218 What is the a'th term of 119618, 239228, 358836, 478442, 598046, 717648? -a**2 + 119613*a + 6 What is the k'th term of 1254, 2522, 3798, 5082, 6374, 7674? 4*k**2 + 1256*k - 6 What is the t'th term of -1384, -2077, -2762, -3433, -4084, -4709, -5302? t**3 - 2*t**2 - 694*t - 689 What is the l'th term of -193, -670, -1447, -2524, -3901? -150*l**2 - 27*l - 16 What is the y'th term of -158, -677, -1544, -2759, -4322, -6233? -174*y**2 + 3*y + 13 What is the c'th term of 3547, 4159, 5173, 6583, 8383, 10567, 13129, 16063? -c**3 + 207*c**2 - 2*c + 3343 What is the w'th term of 7178, 28742, 64680, 114992? 7187*w**2 + 3*w - 12 What is the y'th term of 15402, 30820, 46256, 61710, 77182, 92672, 108180? 9*y**2 + 15391*y + 2 What is the u'th term of 193584, 387168, 580752, 774336, 967920? 193584*u What is the n'th term of 1768, 3462, 5176, 6916, 8688, 10498, 12352? n**3 + 4*n**2 + 1675*n + 88 What is the k'th term of 26, 57, 112, 191, 294, 421, 572? 12*k**2 - 5*k + 19 What is the j'th term of 1085, 2371, 3657, 4943, 6229, 7515? 1286*j - 201 What is the m'th term of -1060, -4193, -9442, -16831, -26384, -38125, -52078, -68267? -4*m**3 - 1034*m**2 - 3*m - 19 What is the i'th term of 2308, 2361, 2414, 2467, 2520, 2573? 53*i + 2255 What is the n'th term of -1363, -5188, -11561, -20482, -31951? -1274*n**2 - 3*n - 86 What is the u'th term of 541, 262, -17, -296, -575? -279*u + 820 What is the k'th term of -1495, -2013, -2531, -3049, -3567? -518*k - 977 What is the g'th term of 359, 357, 353, 347? -g**2 + g + 359 What is the w'th term of -13781, -13773, -13759, -13739? 3*w**2 - w - 13783 What is the s'th term of -463752, -463751, -463750? s - 463753 What is the c'th term of -4579, -18320, -41223, -73288, -114515, -164904, -224455? -4581*c**2 + 2*c What is the d'th term of -6, 8, -2, -48, -142? -2*d**3 + 28*d - 32 What is the y'th term of -2, 19, 150, 469, 1054, 1983? 13*y**3 - 23*y**2 - y + 9 What is the n'th term of 592117, 592114, 592099, 592066, 592009, 591922, 591799? -n**3 + 4*n + 592114 What is the f'th term of -27396, -27387, -27374, -27357? 2*f**2 + 3*f - 27401 What is the a'th term of -527, -645, -717, -719, -627, -417, -65, 453? 4*a**3 - a**2 - 143*a - 387 What is the s'th term of -333574, -667154, -1000734? -333580*s + 6 What is the c'th term of -234467, -468928, -703389? -234461*c - 6 What is the c'th term of -110505, -110487, -110457, -110415, -110361, -110295, -110217? 6*c**2 - 110511 What is the t'th term of 4381, 4434, 4523, 4648, 4809, 5006, 5239? 18*t**2 - t + 4364 What is the b'th term of -4221, -4220, -4219, -4218, -4217? b - 4222 What is the u'th term of -27, -428, -1213, -2382? -192*u**2 + 175*u - 10 What is the w'th term of 12905, 25834, 38767, 51704, 64645, 77590? 2*w**2 + 12923*w - 20 What is the b'th term of 837, 857, 877, 897? 20*b + 817 What is the x'th term of 3201, 3410, 3759, 4248, 4877, 5646? 70*x**2 - x + 3132 What is the x'th term of -27028, -54059, -81080, -108085, -135068, -162023, -188944? x**3 - x**2 - 27035*x + 7 What is the h'th term of -267, -1137, -2591, -4629, -7251, -10457, -14247? -292*h**2 + 6*h + 19 What is the g'th term of 2129091, 2129090, 2129089, 2129088? -g + 2129092 What is the w'th term of -428221, -856444, -1284667? -428223*w + 2 What is the g'th term of 104, 930, 3138, 7406, 14412? 113*g**3 + 13*g**2 - 4*g - 18 What is the t'th term of -42070, -84145, -126220, -168295, -210370? -42075*t + 5 What is the k'th term of -1328790, -2657576, -3986360, -5315142, -6643922? k**2 - 1328789*k - 2 What is the k'th term of 92274, 184546, 276818, 369090, 461362, 553634? 92272*k + 2 What is the z'th term of -603, -4895, -16555, -39267, -76715, -132583, -210555, -314315? -614*z**3 + 6*z + 5 What is the f'th term of 178, 674, 1506, 2680, 4202, 6078? f**3 + 162*f**2 + 3*f + 12 What is the u'th term of -231818, -231822, -231826, -231830, -231834? -4*u - 231814 What is the z'th term of 4608, 5343, 6078? 735*z + 3873 What is the x'th term of 38, -59, -346, -925, -1898, -3367? -17*x**3 + 7*x**2 + x + 47 What is the p'th term of 193, 700, 1537, 2704, 4201, 6028? 165*p**2 + 12*p + 16 What is the i'th term of -92, -223, -432, -755, -1228, -1887, -2768, -3907? -6*i**3 - 3*i**2 - 80*i - 3 What is the h'th term of 46079, 184310, 414693, 737228, 1151915, 1658754, 2257745? 46076*h**2 + 3*h What is the l'th term of 8782, 35259, 79434, 141307, 220878, 318147? 8849*l**2 - 70*l + 3 What is the x'th term of 128, 180, 268, 392, 552, 748? 18*x**2 - 2*x + 112 What is the w'th term of 12090, 24281, 36472, 48663? 1219
{ "pile_set_name": "DM Mathematics" }
)? True Suppose -7*b + 14*b = 65912. Does 107 divide b? True Let g(w) = 38*w**2 - 26*w + 4. Let p be g(-8). Suppose -10*h + p + 776 = 0. Is h a multiple of 30? False Let p = 106328 - 71599. Is 94 a factor of p? False Let g = 154 - 152. Suppose -b + 1092 = g*b. Is b a multiple of 39? False Suppose 0 = 13*w - 18*w. Suppose n - 242 = -5*f - w*n, 0 = f + 5*n - 34. Is f a multiple of 7? True Let i = 227 + -233. Let y(u) = -35*u + 2. Let n(w) = -2*w. Let s(j) = -22*n(j) + 2*y(j). Is s(i) a multiple of 20? True Suppose -3*s + 2*w + 32091 - 9474 = 0, -2*s + 15062 = 4*w. Is 2 a factor of s? False Let o = 591 - -17253. Is 17 a factor of o? False Let x(h) = h**2 + 9*h - 10. Let y be x(-10). Suppose -4*l - 1581 = 3*z, -2*z = -y*l + l + 1054. Does 19 divide z/(-5) + (6/(-15))/1? False Suppose 47*t - 458886 = -88056. Is 15 a factor of t? True Let w(c) = -2*c + 1. Let u be w(-1). Suppose i = -u*n - 5 - 12, 3*i + 26 = -4*n. Let y(g) = g**2 - g - 13. Is 5 a factor of y(n)? False Let x = -3071 + 5126. Is 15 a factor of x? True Let p = 320 + -493. Let l = p + 299. Does 14 divide l? True Suppose 0 = -0*j + j + 4. Let k be (0/(-2))/2 - j. Suppose 5*n - y = 143, 122 = k*n + y + 13. Is n a multiple of 5? False Does 119 divide 47126/6 + 48/(-128) + (-6)/(-144)? True Let w(y) be the first derivative of -y**4/4 + 10*y**3/3 - 6*y**2 + y + 121. Is w(5) a multiple of 11? True Let p(j) = 6*j**2 - 5*j - 5. Let b be p(5). Suppose b = 5*g + 980. Is g/(-3) - (-3)/(-9) a multiple of 6? False Suppose -5*x - 5*g = -465 - 700, 3*x - 734 = 4*g. Let h = x + -147. Does 2 divide h? False Suppose 2*k - d - 322 = 16, -k = 2*d - 164. Is 21 a factor of k? True Suppose 3*n = d, -n = -d + 5 - 3. Let a be 6/8 - n/((-4)/137). Let u = a - -30. Is 7 a factor of u? False Suppose 4*x = 5*k + 8, -5*x = 2*k - 0*k - 10. Suppose 756 = 5*v - 4*y, x*y - 5*y - 605 = -4*v. Is 19 a factor of v? True Suppose 0 = 5*k - y - 30, -17 - 1 = -3*k + 3*y. Let h be ((-48)/18 - 2/6) + k. Suppose -m - 654 = -3*m + 4*x, 0 = h*m - 5*x - 979. Is 17 a factor of m? True Let h = -433 - -917. Suppose -14*q + 1854 = -h. Is q a multiple of 13? False Let a = -1406 - -2090. Is a a multiple of 7? False Suppose 257574 + 179486 = 20*p - 0*p. Is 15 a factor of p? False Is (212/(-265))/((-6)/2385) a multiple of 2? True Suppose -8*u + 88 = 48. Suppose 0 = u*m - w - 644, -4*w = 5*m - 8*w - 641. Does 7 divide m? False Let s be 2/9 - (-1070)/45. Suppose -164 = -5*d - s. Suppose -149 = 27*n - d*n. Is n a multiple of 34? False Let f(i) = 5*i**3 - 3*i**2 + i. Let h be f(1). Suppose -3*w = -4*j + 123 + 434, 0 = -h*j + 4*w + 416. Suppose 4 + j = 6*m. Is 24 a factor of m? True Suppose 5*p = -0*p + 25. Suppose -p*j = 2*j. Suppose j = -4*c - s + 239, -17 - 105 = -2*c + 2*s. Is 21 a factor of c? False Suppose -3*u - 35*f + 11788 = -33*f, f + 3931 = u. Is 10 a factor of u? True Let j = -585 - -665. Suppose 3*a + 5*k - 3436 = 0, -76*a - 4566 = -j*a + k. Is a a multiple of 11? False Suppose 65*m - 542071 + 119929 = 46*m. Is m a multiple of 69? True Suppose -2*o + 2*l = -19054, -28595 = -1667*o + 1664*o + 5*l. Does 82 divide o? False Suppose -3613 = 20*r - 49793. Is 233 a factor of r? False Let k = -2956 + 17958. Is 23 a factor of k? False Let f(s) = -3*s + 20. Let a be f(5). Suppose -a*b - 3*w = -0*b - 65, 39 = 3*b + 5*w. Let c(v) = 3*v + 1. Is 5 a factor of c(b)? True Let p = 13099 + -5391. Does 82 divide p? True Suppose -54*q = -41673 - 239451. Does 19 divide q? True Suppose -24*g = -11*g + 3*g. Let j(t) = t**2 - 6*t + 1440. Is j(g) a multiple of 18? True Let g = 5045 + -4605. Is g a multiple of 20? True Suppose 4*y + 0*v + v - 4 = 0, v + 8 = 2*y. Suppose 2*c = 4*w - 12, -4*c + 0 - 6 = -y*w. Suppose 36 = 3*p - 2*p - w*h, -5*h = -3*p + 92. Is 14 a factor of p? False Let s(p) = -8*p - 59. Let i be (7 - 6)/((-90)/92 + 1). Let t = 37 - i. Does 13 divide s(t)? True Suppose 5*o = -4*q + 20, 5*o - 25 = -4*q - q. Suppose 916 = 4*k - d, -q*k + 254 = -4*d - 880. Does 16 divide k? False Let h = 32 - -23. Let p = -52 + h. Is -3 + 6 - (p/(-1) - 88) a multiple of 47? True Suppose 16943 + 6974 = 24*t - 21299. Is t a multiple of 137? False Suppose 5*b + 0*b - 2*a = -6878, -3*a = b + 1362. Does 7 divide (88/(-66))/(8/b)? False Suppose -5*u - l + 35 = 0, -l - 24 = -5*u + 21. Is 484/u + (-7)/14 a multiple of 10? True Suppose 58*k = -53*k + 2858250. Is 21 a factor of k? False Let v(h) = -23*h**3 - 10*h**2 + 24*h - 68. Does 11 divide v(-8)? False Suppose q + 3*l = l + 95, -5*l + 185 = 2*q. Suppose -6*c + 327 = -q. Does 24 divide c? True Suppose 2*p = -d + 52 - 5, 185 = 4*d + 5*p. Suppose -5*s = -2*v - 122, -4*s - 5*v = -46 - d. Is 3 a factor of s? True Suppose 0 = 13*p - 10*p - 12. Suppose 2*h + 4*s = 604, 189 = -p*h + 4*s + 1385. Is 15 a factor of h? True Let g(v) = v + 148. Let n(y) = -y**3 - 4*y**2 - 7*y - 32. Let f be n(-5). Is 8 a factor of g(f)? True Let w be ((-375)/(-20) - 1/4)*-2. Let u = -39 - w. Is u/(-4) - 966/(-28) a multiple of 5? True Let s = -11707 + 20554. Does 13 divide s? False Let n(l) = 8*l**2 + 1783 + 29*l**2 + 66*l - 1807 + l**3. Is 12 a factor of n(-35)? False Suppose -3*q = l + 32, -q - 2*q = 5*l + 220. Suppose -3*y = 3*c - 264, -46*y + 449 = 5*c - 50*y. Let o = l + c. Does 7 divide o? True Let w = 60 + -36. Is w/6 + (-2355)/(-5) a multiple of 19? True Suppose 5*g - 5*u - 7700 = 0, 18*g - 16*g + 5*u = 3031. Is 21 a factor of g? True Suppose 22584 = i + 5*t, 7*i + 3*t - 78166 = 79826. Does 23 divide i? False Let u(w) = 6*w**2 + 3*w + 449. Suppose 40*g = 20*g. Does 9 divide u(g)? False Suppose 405*b + 8298 = 411*b. Is 27 a factor of b? False Suppose -y = -497 + 323. Is y/2*5/(15/9) a multiple of 60? False Let i be -24 + 2 - (4 - 2). Let p = i - -29. Let k = 116 + p. Is 17 a factor of k? False Suppose -4*m + 8 = y, -3*m - 6 = -5*y + 11. Let g be m/((-15)/328) - 2/15. Let n = 158 - g. Is 20 a factor of n? True Is 660/((6/36)/((-35)/(-4))) a multiple of 150? True Suppose 405 = 184*y - 183*y. Let c = y - 0. Does 15 divide c? True Is 3264/(-51)*1145/(-2) a multiple of 20? True Let h(m) = -4*m - 24. Let l be h(-6). Suppose 94 = t - 3*n, l*t - t + n + 92 = 0. Let p = t + -53. Is 7 a factor of p? False Let o = 29 - 27. Let x(c) = 89*c + 2. Let f be x(o). Does 10 divide (12/(-10))/((-3)/f)? False Suppose -103968 = 13*l - 85*l. Is 76 a factor of l? True Suppose -8*n + 521 = -823. Suppose 0 = -j + 5*j - n. Is 21 a factor of j? True Let q = 1239 + -482. Let n = q - 484. Is 21 a factor of n? True Let n(r) = 51 + 20 + 94 - 41 + 3*r**2 - 32*r + 9. Is 72 a factor of n(29)? True Let z = 158 + -211. Let s = z - -59. Is s a multiple of 4? False Suppose 0*r - 2*r = 10. Let d = -2788 - -2784. Is 14 a factor of ((-188)/10 - d)*r? False Let s(w) = -8*w + 5*w + 37*w**3 + 2*w + 28*w**3 + 2*w**2. Let d be s(1). Let i = -54 + d. Does 4 divide i? True Suppose 0 = -3*z + 12*z + 8*z - 200192. Does 13 divide z? False Suppose 3*a - 14 = 5*y, a - y - 1 = -3*y. Suppose -5*i + a*i = 4, -h = -i - 62. Is h a multiple of 30? True Suppose -5*x - 44940 + 8885 = -4*h, h = -3*x + 9001. Does 85 divide h? True Let x = -2560 + 7476. Suppose 13*c - 9553 = x. Suppose 0 = -20*q + 13*q + c. Is 8 a factor of q? False Let p(d) = -2*d - 1. Let s be p(-2). Suppose -2*r + 4*m + 20 = 0, 10*r = 9*r - 3*m - 10. Suppose i - 183 = -r*j - 2*i, s*i = 5*j - 510. Does 33 divide j? True Let u(o) = o**2 + 24*o + 153. Let z be u(-11). Is 22 a factor of 3978/170*z/3? False Suppose -3*z + 1216 + 2468 = 3*j, -z + 2*j + 1222 = 0. Is z a multiple of 8? False Let z be 44/10 - 336/(-560). Suppose 3*b - 6*b - 5*m = -329, 0 = -3*b + z*m + 349. Is 113 a factor of b? True Let w = -13500 + 14130. Is w a multiple of 63? True Suppose -48*c = -38*c - 740. Suppose -c*h = -69*h - 2460. Is 63 a factor of h? False Let w(v) = v**3 + 10*v**2 + 18*v + 26. Let b be w(-7). Let u = 86 + b. Is u a multiple of 8? False Suppose -3*t = -1682 + 503. Let n = 1719 - t. Suppose 0 = -9*a - 462 + n. Is 4 a factor of a? True Suppose 48 = 28*b - 20*b. Does 52 divide (-794)/(-8)*((b - 7) + 9)? False Let r = 47343 - 28875. Is 27 a factor of r? True Let v(u) = u**2 + 9*u - 17. Let i(y) = -2*y**2 - 2*y + 12. Let o be i(-4). Let a be v(o). Let q = a - -22. Is q a multiple of 14? False Suppose -5*f + 7*f = 12. Let h(r) = 10*r**2 + 228 + 247 - 529
{ "pile_set_name": "DM Mathematics" }
? False Is 13302411541 prime? False Is 247848949 prime? False Is 1712221463 prime? False Is 241475093459 composite? False Is 1011812531 a prime number? False Is 5440300105 a prime number? False Is 29551399847 prime? True Is 4532241799 prime? False Is 22360065769 a prime number? False Is 404259991 a composite number? True Is 513344437 prime? True Is 3831421417 a composite number? False Is 23765859121 a prime number? False Is 795750979 a prime number? True Is 374521 prime? False Is 1019881013 composite? True Is 48917047 composite? False Is 3463885481 prime? False Is 1964158739 composite? False Is 244810721 composite? True Is 847617457 a prime number? True Is 326978659 composite? True Is 1581852121 prime? False Is 3400923223 prime? True Is 411268177 prime? False Is 2693111149 prime? False Is 802356487 a prime number? True Is 518420957 a prime number? True Is 852594881 prime? True Is 5266830869 a composite number? False Is 133463417 prime? True Is 2767993399 a prime number? False Is 59654803231 composite? True Is 764891117 a composite number? True Is 193828445023 a prime number? False Is 676687787 a composite number? False Is 1151445041 composite? False Is 309616331 prime? True Is 14737879459 composite? False Is 9279266963 a composite number? True Is 1594893389 a prime number? False Is 645609203 a composite number? True Is 721101217 a prime number? True Is 543976037 a prime number? False Is 25462123411 a prime number? False Is 120686569 prime? True Is 4000346605 a composite number? True Is 23539918861 composite? False Is 730019431 composite? False Is 3465624927 a prime number? False Is 5422046633 a prime number? True Is 784555529 prime? True Is 8509327031 composite? False Is 4168669 a prime number? False Is 24031493357 composite? False Is 2541794237 prime? False Is 26751607 composite? False Is 1859211857 composite? True Is 2493778241 prime? True Is 9199970881 prime? False Is 15667313971 composite? True Is 46009571 composite? False Is 1896436079 composite? False Is 44978674157 composite? False Is 6390595895 a composite number? True Is 49252391 a prime number? True Is 544853999 a prime number? True Is 78262447639 a prime number? False Is 341145113 composite? False Is 4479583501 a prime number? True Is 11786439565 a composite number? True Is 529155047 prime? True Is 4094346721 composite? False Is 2326233631 a prime number? False Is 1235194099 composite? False Is 35239208843 a composite number? True Is 5094704267 prime? True Is 995147527 prime? False Is 16159905977 prime? True Is 1342078973 a prime number? True Is 609678683 prime? False Is 2504957539 composite? True Is 40729232639 a prime number? True Is 485618165 prime? False Is 5265036929 a prime number? False Is 4097365427 a prime number? False Is 78422609 a prime number? True Is 343007747 a prime number? True Is 377490907 a prime number? True Is 1649483417 a prime number? True Is 15897309293 prime? True Is 5807789473 prime? False Is 39212221 a prime number? False Is 167024759 a composite number? True Is 29280010213 composite? False Is 41549398829 prime? True Is 645548945 prime? False Is 1203820127 composite? False Is 131825963 composite? False Is 4840329019 prime? False Is 123663347 composite? False Is 7491838997 a prime number? True Is 236751763 prime? True Is 293153353 a prime number? True Is 5625617 prime? True Is 8927141831 prime? False Is 1089682931 a composite number? True Is 11428438243 a composite number? False Is 108180127 composite? True Is 1082981203 prime? True Is 596090003 a composite number? False Is 34856779 composite? True Is 73230342943 prime? True Is 708148667 a composite number? False Is 565806307 a prime number? False Is 3778738547 a prime number? True Is 312388754673 prime? False Is 101829709 composite? False Is 1323283727 a composite number? True Is 11567771977 a prime number? True Is 13111421041 composite? False Is 158466470543 composite? True Is 45622743721 composite? True Is 626978783 a composite number? True Is 49875635441 a composite number? False Is 11307578897 a composite number? False Is 17937288833 a prime number? True Is 51202473229 a composite number? False Is 55651427087 a composite number? True Is 13106583163 a composite number? True Is 297084112847 a prime number? False Is 117649113583 a prime number? True Is 63342581063 prime? True Is 126512123165 a prime number? False Is 3467880347 a composite number? True Is 9178032937 a composite number? True Is 3854689879 a composite number? False Is 2087016539 a composite number? False Is 423537529 a prime number? True Is 289573873 prime? True Is 19390277269 a prime number? False Is 1465751299 a prime number? True Is 936032887 a composite number? True Is 93451336477 a prime number? True Is 1431753551 prime? False Is 2475072713 a prime number? True Is 16579624849 prime? False Is 994772843 a prime number? True Is 5059644287 composite? True Is 4064251531 prime? True Is 12596636323 a prime number? False Is 19746802219 a prime number? False Is 72630332389 prime? True Is 263886137 a composite number? False Is 5384410751 composite? False Is 10180260073 composite? False Is 5409632803 composite? True Is 85797583505 prime? False Is 19454310649 a prime number? True Is 783069917 prime? False Is 25716272927 composite? False Is 167827913257 a composite number? True Is 911207363 composite? True Is 973177883 a prime number? False Is 33071578663 prime? True Is 9962063957 composite? False Is 929509067 composite? True Is 216116451323 a composite number? True Is 11509890229 a prime number? False Is 58395131 prime? True Is 30005333347 a composite number? True Is 14670463459 composite? True Is 9489995821 prime? False Is 52817263957 prime? True Is 8294929063 a prime number? False Is 353005031 a prime number? True Is 1677332791 a composite number? False Is 19384936699 a composite number? True Is 25454165291 a composite number? True Is 15372444847 prime? True Is 3119110481 a prime number? True Is 230661251 a prime number? True Is 2223487837 prime? True Is 14680248029 prime? True Is 26904082603 composite? False Is 50831727979 a composite number? True Is 4486944947 prime? True Is 30788244831 composite? True Is 28031477581 a prime number? True Is 1964622659 a composite number? True Is 16544054777 composite? True Is 28325089901 prime? False Is 862338667 prime? True Is 3572251913 a prime number? False Is 1947651137 prime? True Is 15243649789 prime? True Is 13279553311 a composite number? False Is 1452694097 composite? False Is 9191236231 prime? True Is 2626822499 prime? False Is 12610469969 a composite number? True Is 96474522917 prime? False Is 952399553 a composite number? True Is 9201671741 composite? False Is 6407362909 a prime number? True Is 116056459 a composite number? True Is 6961950011 prime? False Is 1423078883 a composite number? True Is 64301759009 a composite number? False Is 100740888823 a composite number? False Is 2324933279 a composite number? False Is 1135855421 a composite number? False Is 2837851523 prime? False Is 28089595577 a composite number? True Is 50005295663 composite? False Is 208960622677 composite? True Is 1937001589 a prime number? False Is 2771947 a composite number? False Is 2371081337 a composite number? False Is 621025166 a prime number? False Is 803533877 composite? False Is 1868207873 prime? False Is 6210817 a prime number? True Is 7564817 a composite number? True Is 2071925837 prime? True Is 53510959 a composite number? False Is 29113477153 a composite number? True Is 1698536347 a composite number? False Is 3657779189 a composite number? True Is 106176011 prime? True Is 3027447469 a composite number? False Is 736589023 a prime number? False Is 4014138827 a composite number? False Is 56064724591 prime? True Is 25661611357 composite? True Is 64648273441 a prime number? True Is 46940783 composite? False Is 2036605867 composite? False Is 293471798 composite? True Is 771723742 prime? False Is 56109849603 composite? True Is 5616773417 composite? False Is 164618873 prime? True Is 62525335231 prime? True Is 800959139 composite? True Is 594829743811 a composite number? True Is 2709939959 prime? False Is 2664163547 a composite number? False Is 8946890846 prime? False Is 62465410873 composite? True Is 7217467837 a prim
{ "pile_set_name": "DM Mathematics" }
20 Find the common denominator of 16/(-544)*(1 - (-188)/(-36)) and 5/6. 306 Let g be (54/7)/(50/490). Let c = -159/2 + g. Find the common denominator of c and 55/18. 90 What is the common denominator of 5/(-5) + 710/(-260) and 89/130? 130 Let g = 7106/9 + -792. Let u = -616 + 621. Calculate the common denominator of g and u. 9 What is the smallest common multiple of (-4*(-11)/(-22))/((-3)/24) and 3? 48 Let s(j) = -3*j**3 + j**2 + 2. Let o be s(-3). Suppose -4*h - 3*b = -0*b + 127, 3*h = b - o. What is the common denominator of (-2)/((-12)/3)*h and 6/7? 14 Suppose -n - 2*n = 18. Calculate the common denominator of -67/6 and (5 + 518/(-114))/(4/n). 114 Let q = 456 + -117. Calculate the common denominator of -107/6 and (q/(-60))/(2/(-4)). 30 Suppose 5*r + i - 17 = 0, 3*r - 2*i - 12 = 6. What is the lowest common multiple of r/4*(-2 - -13) and ((1 - -1) + -3)*-11? 11 Let o = -219 - -268. What is the least common multiple of o and 91? 637 Let x = 29 - 28. What is the common denominator of 534/(-648) + x/1 and 13/10? 540 Suppose -2*v + 5 = -5*j, 4*j + 3*v - 18 = 1. Suppose 3*i - p = 8*i - 51, 3*p = i - 23. What is the lowest common multiple of i and j? 11 Let o(d) be the second derivative of d**4/12 - d**3/6 + 11*d**2/2 + 3*d. Suppose l + 2*l = 0. What is the least common multiple of o(l) and 9? 99 Let c(h) = -h**3 + 8*h**2 + 3*h + 6. Suppose 0 = -b, -3*b + b = -5*z + 45. Let m be c(z). What is the common denominator of (-708)/m*(-1)/(-4) and 89/6? 48 Let l = -2/189 + -356/2079. Suppose -4*o + t - 3 = 0, 0 = o - 3*o - 3*t - 5. What is the common denominator of o - (2 - 89/(-4)) and l? 44 Let b be ((-7)/21)/(1/(-9)). Suppose 3*o - 5*o = 5*g + 17, b*o + 5*g = -23. Let t = o + 28. Calculate the lowest common multiple of 14 and t. 154 Let g = -1353679/3864 - 3/1288. Let l(s) = 178*s - 1. Let t be l(-2). Let p = g - t. Find the common denominator of 44/7 and p. 21 Suppose 459*q = 450*q + 540. What is the smallest common multiple of q and 108? 540 Let x = -104 - -107. Suppose 4*h = 4*f + 52, -h + x*f = -0*h - 15. Calculate the least common multiple of 30 and h. 60 Find the common denominator of ((1 - 3)/(-8))/((-45)/(-636)) and (1/20)/((-6)/365). 120 Calculate the common denominator of (3/(-10))/(32452/(-7885) + 4) and 39/340. 2720 Let r(x) = 19*x - 72. What is the lowest common multiple of 425 and r(4)? 1700 Let r = 46/5 - 77/10. Let j = -229771429 - -618314925925/2691. Let z = j + -5/414. Find the common denominator of r and z. 26 Let l = 14 - -11. Suppose 5*q - l = 3*g, 3*g + q = -g - 18. Let b = g - -10. What is the least common multiple of 1 and b? 5 What is the least common multiple of (15/(-10))/1*360/(-3) and 90? 180 Let a = -13 - -16. Suppose 0 = -2*x - 2*d + 64, 4*x + a*d - 152 = 7*d. Calculate the least common multiple of 14 and 10/x - (-110)/7. 112 Suppose 0 = 4*s + 14 - 58. Let v(t) = t**3 - 8*t**2 + 13*t + 7. Let l be v(5). Calculate the least common multiple of s and (l - (-10)/6)/(2/(-15)). 110 Let q = -1/46 + 571/874. Calculate the common denominator of q and 45/7. 133 Let j = 299 + -123. Calculate the lowest common multiple of 176 and j. 176 Suppose -79 = -4*l + 61. What is the common denominator of -51/4 and 666/140 + (-14)/l? 28 Let a(p) = 4*p + 14. Let t(r) = -3*r - 14. Let l(g) = -2*a(g) - 3*t(g). What is the least common multiple of l(-10) and 9? 36 Let d = -24 + 28. Suppose 4*w = -3*n + 7*n + 76, 0 = -d*n + 4. Calculate the least common multiple of w and 28. 140 Let t = 27 + -59. What is the common denominator of t and (0 + 194/(-8))/((-2)/1)? 8 Let h = -2/9259 + 916669/129626. Find the common denominator of 141/70 and h. 70 Let d(c) = -30*c**2. Let u be d(1). What is the common denominator of ((-38)/(-18))/((-6)/(-18)) and (-548)/u - (-6)/15? 3 Let p = 19 - 81. Calculate the common denominator of p*(-3 + 38/12) and -47/3. 3 Suppose 100 = 3*p - 5*d, -p - 3*d + 36 = -6*d. Find the common denominator of (-175)/21*(-4)/p and (-4)/7 + 2922/336. 72 Let u be 10*((-2)/2)/(-1). Suppose 5*x - u = 20. Suppose s + 4 = x. Calculate the smallest common multiple of s and 3. 6 Calculate the lowest common multiple of (17 - -1)/(50/175) and 24. 504 Let a = 2839/3 + -28693/30. Find the common denominator of a and -92/45. 90 Let p be (-19920)/42 - (-2)/7. Calculate the least common multiple of 10 and p/(-12) + 2/4. 40 Suppose -15*f + 2607 = 252. Let b = -127 + f. What is the smallest common multiple of 16 and b? 240 Suppose -25*b - 143 = -368. Calculate the smallest common multiple of b and 5. 45 Let x be (-2)/2*108/(-18). Suppose 2*l + 76 = x*l. Find the common denominator of l and 0. 1 What is the common denominator of 3/10 and (-10 - -8) + 4885/(-1430) + 5? 1430 Suppose 74 = -3*j - 49. Let k be (3 + 6/(-4))*-18. Let v = k - j. Calculate the least common multiple of 8 and v. 56 Let c be ((-8600)/15)/((6/(-9))/2). Let x = -20657/12 + c. Find the common denominator of -79/18 and x. 36 Let b = -185 - -89. What is the smallest common multiple of 20 and ((-1)/(-3))/((-2)/b)? 80 Let a = 11 - -5. Let o be (-144)/(-10) + 20/(-50). Suppose s - o = 6. What is the smallest common multiple of a and s? 80 Let u = -25 - -47. Let z(s) = 23*s**2 - s - 2. Let l = -47 - -46. What is the least common multiple of z(l) and u? 22 Let u = -496645/24 - -20699. Find the common denominator of 73/80 and u. 240 Let f(y) = -21*y + 330. Calculate the lowest common multiple of f(14) and 33. 396 Let s = -5767/8 + 731. Calculate the common denominator of s and 11/58. 232 Let x = -8747/6 - -1453. What is the common denominator of x and 19/14? 42 Suppose -32*v + 41*v = 108. Suppose q + 0*q = -3*o + 6, 4*o = 5*q + 8. What is the least common multiple of o and v? 12 Find the common denominator of (-3)/7 - (-3678)/2310 and 29/15. 165 Suppose t - 88 + 5 = 0. Suppose t = -10*u + 363. Calculate the lowest common multiple of u and 20. 140 Let l be 36/48*8/3. Suppose -5*q - 4*i - 3 = 1, 0 = i + 1. Let k = l + q. Calculate the least common multiple of k and 10. 10 What is the smallest common multiple of (-8)/(-16)*(65 - 1) and 2? 32 Let a be -1 + (-2 - (-4706)/20). Let f = 231 - a. Calculate the common denominator of f and (239/(-717))/((-10)/(-159)). 10 Let h(t) = -t**2 + 25*t - 88. Suppose -4*y + 95 = -i, -3*y - 5*i = y - 101. What is the least common multiple of y and h(5)? 24 Let j be (-4)/(-10) - (0 + 14/35). Suppose j = 4*i - 2*t - 72, 5*i - 30 - 60 = -5*t. Calculate the smallest common multiple of 33 and i. 198 Suppose -2*f - 16 = -2*j + 32, 2*f = -j + 9. Suppose -2*b + 49 + j = 0. Calculate the least common multiple of 4 and b. 68 Let q = 304325/66 + -9219/2. Let p = 20831/12 + -1739. Calculate the common denominator of p and q. 132 Let j = 31 + -25. Suppose 5*f + 75 = 5*l, 5*f + 13 = l - j. Let n(o) = -o**3 - 4*o**2 + 2. Calculate the least common multiple of n(-4) and l. 14 Let j = 40790 + -17483. Let m = j - 1141961/49. Let b = m + 6221/294. What is the common denominator of 79/20 and b? 60 Suppose 32 = -c + 44. Let g = 36 + -16. What is the smallest common multiple of g and c? 60 Let b = -108 - -150. What is the smallest common multiple of b and 27? 378 What is the common denominator of -8 + (-207)/264 - -8 and 19/24? 264 Let w be (2/(-8) - 9/(-12))*76. Let v = w - 27. Suppose -35 = -3*n - 4*j + 2*j, 0 = 3*n - 2*j - 19. Calculate the lowest common multiple of n and v. 99 Let q(f) = f**3 + 25*f**2 - 28*f - 55. Let c be q(-26). What is the smallest common multiple of c/9*(-1 - -4)*-10 and 46? 230 Let p = 5634 - 112637/20. Calculate the common denominator of (1/5)/((-6)/215) and p. 60 Suppose 2*f + 2*f = 16. Suppose -5*m - a + 26 = 0, 102*m + 3*a + 36 = 106*m. What is the lowest common multiple of f and m? 12 Let x(t) = 10*t + 2 + 1 - 5 - 9*t**2 - 5 - t**3. Let p be x(-10). What is the common denominator of 3/20 and 4 + p - (-182)/16? 40 Let q(s) = -3*s + 5*s - 3*s + 3*s. Let k be q(9). Find the common denominator of -89/4 and 4/k - (13 + -20). 36 Let v(p) = -p**3 - 2*p**2 + 2*p + 28. What is the least common multiple of v(-6) and 256? 1280 Suppose 4*y - 4 = 6*i - 4*i, 4*i + 3*y - 36 = 0. Let z(g) = -2*g - 3. Let b be z(-6). Let r = b - i. Calculate the least common multiple of 11 and r. 33 Let o be (58593/(-48120))/(2/(-4)). Let x = -46/401 - o. Let d = -11077/10 - -5514/5. F
{ "pile_set_name": "DM Mathematics" }
and f. 12 What is the common denominator of -91/16 and (-3 - 5) + 6 - 82/72? 144 Suppose 0 = 5*d + 3*i - 141, 3*d + 0*i - 87 = -3*i. What is the smallest common multiple of d and 48? 432 Let n be (-4 - (2 + -1))*1. What is the common denominator of (-9)/(54/(-24)) + 167/(-14) and (n/(-28))/((-1)/(-26))? 14 Let d = 6749/9 + -748. Suppose 6*z - z = -3*p + 1, 2*p + 4*z = 0. Calculate the common denominator of (-118)/20 - p - 0 and d. 90 Find the common denominator of 64/42 - (-1 + -3 + 2) and 145/18. 126 Let p = 2 + -4. Let s be (-3 + (p - -3))/(-2). Calculate the least common multiple of 11 and 1/s - (-5 - -1). 55 Find the common denominator of (-362)/156 + ((-30)/(-26) - 1) and -61/48. 48 Let g = -8 + 4. Let k be (-19)/g + 2/8. Suppose k*i - 14 = -4. Calculate the lowest common multiple of i and 6. 6 Suppose -859 + 209 = 5*r. Calculate the common denominator of r/(-25) - (1 - 0) and ((-5)/2)/(3/(-10)). 15 Suppose 2*u + 5*z = 11, 2*z + 0*z - 8 = -2*u. Suppose 2*w = -u*w - 50. Let r = 14 + w. What is the smallest common multiple of 12 and r? 12 Let m = 7233/322 + 6/161. Suppose 3*l = -0*l + 6. Find the common denominator of 2 + 14/(-44) + l and m. 22 Let a be 24/108 + 94/(-18). Let x(g) = -g. Let l = -24 + 34. What is the least common multiple of l and x(a)? 10 Let b be (2/2 - 3) + 44. Suppose -5*r = -4*m + 49, 16 = -2*m + 4*r + b. Calculate the least common multiple of m and 1. 11 Let v be (116/(-60))/(8/(-45846)). Let j = v + -11074. What is the common denominator of (2/(-16))/((-13)/(-1378)) and j? 20 Suppose 41 = 2*g + 3*v - 56, 5*g = -3*v + 247. Calculate the least common multiple of 12 and g. 300 Suppose 0 = 5*b - 13 - 17. Let q be 2*3*b/12. Suppose -a = -q*a + 20. What is the least common multiple of 7 and a? 70 Let c = -2 + -4. Calculate the common denominator of 23/11 and (213/c)/((-6)/(-4)). 33 Let j = -61349/6056 + 4/757. What is the common denominator of -37/2 and j? 8 Let o = 3657/8 + -448. Find the common denominator of 55/16 and o. 16 Let j(m) = 8*m**2 + 2*m. Let w be j(2). Calculate the common denominator of 111/14 and 3/2*(-332)/w. 42 Let d = 9 - 5. What is the least common multiple of 2 and d? 4 Let p = 50329/15672 + -2/653. Find the common denominator of p and -5/8. 24 Let r = -4 - -8. Suppose r + 0 = -4*v. What is the smallest common multiple of 2/((-9)/(-7) + v) and 2? 14 Let k = 23 + -15. Suppose -4*f = -16 + k. Let n(c) = -c**2 + 8*c - 7. What is the lowest common multiple of f and n(5)? 8 Let o(x) = x**2 + 5*x + 6. Let z be o(-4). Let p = -125067/14 + 8937. Calculate the common denominator of -1 + z - 212/(-16) and p. 28 Suppose 6 = 2*y - 2. Suppose -2*b - 4 = y. Find the common denominator of -76/9 and (-6)/b + -2 - -12. 18 Let c(g) = -g**3 + 4*g**2 + 6*g - 4. Let n = 13 + -9. Let r(w) = 4*w - 6. What is the least common multiple of r(4) and c(n)? 20 Suppose 5*t + 80 = -5*z + 2*t, z + 5*t = -16. Find the common denominator of ((-9)/(-15))/(z/(-35)) and 7/16. 16 Suppose -2*z - 4*n = 30, 40 = -2*z - 5*n + 12. Let h(j) = j**3 + 9*j**2 - 10*j + 6. Let y be h(-10). Calculate the common denominator of z and 9/(-12)*116/y. 2 Let u = -6164/5 + 2453/2. Find the common denominator of u and 51/8. 40 Let s = 7 + -6. Find the common denominator of -62/9 and ((-354)/12)/(-1 - s). 36 What is the common denominator of 22/(-42) + 6/21 and -7/36? 252 Let k = -58056 + 345889/6. Let m = k + 394. Calculate the common denominator of -44/3 and m. 6 Let j(i) = i - 3. Let t be j(5). Let p be (2 - t) + 0 + 4. Suppose 0 = -0*r + p*r - 8. Calculate the smallest common multiple of 6 and r. 6 Let o = -1 + -1. Let k be (o/(-4))/((-1)/6). What is the common denominator of -35/4 and k/(-6) - 40/(-7)? 28 Suppose -6*i = -3*i + 3. Calculate the least common multiple of ((-8)/16)/(i/44) and 20. 220 Let w be -1 + -1 - (1 - 32). Let d = -17 + w. Suppose d = 4*c - 16. Calculate the least common multiple of c and 1. 7 Let r = 24624659/8 + -3082668. Let x = r - -4579. Calculate the common denominator of 9/10 and x. 40 Let b be -2 - -1 - 3*-1. Suppose -3*j = 2*n, -2*j + b*n = 2*j. Suppose -z + 4 + 5 = j. What is the smallest common multiple of z and 4? 36 Suppose 3*n = 2*v - 41, 15 = v - 5*n - 2. What is the lowest common multiple of 16 and v? 176 What is the common denominator of 41 and (8/20)/(8/94)? 10 Let b = 40993/6 + -6810. What is the common denominator of 91/24 and b? 24 Let p(n) be the second derivative of 3*n**5/20 + n**3/6 - n**2/2 - 2*n. What is the least common multiple of p(1) and 7? 21 What is the common denominator of ((-2)/8)/((-3)/(-330)) and 4/2 + 185/(-60)? 12 Suppose z = -2*d + 105, -2*z + 6*z - 258 = -5*d. Suppose -3*n = -2*x + d, x = -0*n + n + 26. What is the lowest common multiple of 4 and x/4 - 2/2? 20 Find the common denominator of -29/22 and (-36)/(-45) - (-413)/(-10). 22 Suppose r - g = 4*r - 331, 5*r - g - 557 = 0. Suppose -r = w - 357. Find the common denominator of (10/(-90))/((-2)/w) and 16. 3 Let o(i) = -12*i + 6. What is the smallest common multiple of 4 and o(-1)? 36 Suppose 5*y + 0 = -3*u + 46, -3*y + 66 = 5*u. Calculate the least common multiple of 27 and u. 108 What is the common denominator of (-988)/221 - (0 + -4) and -19/2? 34 What is the common denominator of -67/4 and 2 + -6 - (-273)/14? 4 Let s = 724 - 10121/14. Let h = -30/523 + -37939/4184. What is the common denominator of s and h? 56 Suppose -4 = -2*a - 2*r - 0*r, 0 = -4*r - 16. Calculate the lowest common multiple of a and (-2)/(-11) + 696/44. 48 Let w be (-2826)/834 + -2 + 5. Let c = 7135/834 + w. Calculate the common denominator of c and -35/9. 18 Suppose -k - 6 = -2*k. What is the smallest common multiple of k/(-9)*3/(-2) and 3? 3 Let c = 11 + 2. Let h = 16 - 11. Let n = h + c. Calculate the least common multiple of 8 and n. 72 Let a(j) = -j + 3. Calculate the lowest common multiple of a(2) and 11. 11 Let z be (-50)/(-252)*(-8487)/639. Let b = z - -12/497. What is the common denominator of b and 2/(-1)*159/132? 198 Calculate the common denominator of -69/8 and (7/12)/(2/(-56)). 24 Let o be 2/(-8) - (-3)/(-4). Let k be (228 - (-3 - o)) + 0. Calculate the common denominator of (-6)/21 + k/(-28) and -77/16. 16 Let m = -64376/13251 - -2/1893. What is the common denominator of 9/12*(-357)/(-42) and m? 56 Find the common denominator of -7/11 and 1*-146*3/(-54). 99 Calculate the common denominator of (-1463)/(-748) - (0/(-2) + 2) and 65/18. 612 Suppose 2 = v, 2*s = -3*v + v + 62. Suppose -2*y + 7 = -s. Calculate the smallest common multiple of 12 and y. 36 Suppose -4*a = -13 - 31. What is the lowest common multiple of 4 and a? 44 Suppose -136 + 11 = -5*t. Suppose 5*s + 3*b = 2*s - 3, -b = -5*s + t. Suppose -o - 22 = -3*k, 6 + 4 = 5*o. Calculate the lowest common multiple of s and k. 8 Let r(z) = z**3 + 3*z**2 + 5*z + 6. Let f = -83/40 + -1/8. Calculate the common denominator of f and r(-3). 5 Find the common denominator of 37/16 and (47/3)/((-4 + 1)/(-9)). 16 Suppose 4*x = 2*x - 2*m + 34, 5*m = -3*x + 49. Calculate the smallest common multiple of (-6)/(-27) + (-68)/(-18) and x. 36 Suppose 0 = a - 3*j - 10, -a + j + 2 = -2*a. What is the common denominator of a - (-118)/28 - 0 and 143/6? 42 Suppose 0 = -3*t + 2*t - 2. Suppose -f - 1 + 5 = 0. Let r = t + f. Calculate the smallest common multiple of 2 and r. 2 Let p = -185/3 + 407/6. Let i = -815 + 7328/9. Find the common denominator of p and i. 18 Suppose -2*w = -3*w + 18. Suppose 8 = -8*f + 4*f. Find the common denominator of w and f + 160/18 + 1. 9 Suppose -13 = -2*y + 3*l, 7*y - 45 = 2*y - 5*l. Suppose -4*b = -18 + 46. Let w = b + y. Calculate the lowest common multiple of 7 and w. 7 Let x = 23 - 20. Suppose -5*f - x*r + 85 = 0, -4*r = -0*r + 20. What is the least common multiple of f and 18? 180 Let g = -8594/15 + 1155/2. Calculate the common denominator of g and -105/22. 330 Let x = -1 - -19. Calculate the smallest common multiple of 30 and x. 90 Let h(y) = -3*y**2 + 8*y + 6. Calculate the common denominator of (-6)/10*105/4 and h(5). 4 Let j(k) = 0*k - 5 + k + 0*k. Calculate the common denominator of j(5) and (-57)/22 + 3/6. 11 Let b(p) = 10*p**2 - 14 + 9*p**2 - p**3 + 2*p - 9*p**2. Let z = -6 + 11. Calculate the least common multiple of z and b(10). 30 Suppose 4*m + 52288 = -0*m. Let y = -130831/10 - m. Let
{ "pile_set_name": "DM Mathematics" }
se -13*s + 3 - 29 = 0. Determine u(s). 5 Suppose 42*f = 47*f + v - 70, 3*f - v - 42 = 0. Let p(u) = u**3 - 13*u**2 - 15*u + 10. Calculate p(f). -4 Let i(l) = -2*l + 1. Suppose 2*u + 2*n + 0*n = -6, -4*u + n + 8 = 0. Determine i(u). -1 Let r(k) = k**3 + 2*k**2 + k. Let j be r(-2). Let o(h) = 18*h + 3. Determine o(j). -33 Let a = 67 - 42. Suppose -a = h - 6*h. Let r(v) = 8*v**2 + 7*v**2 - 7*v - 32*v**2 + 6*v**2 + 12*v**2. Give r(h). -10 Suppose 2*q + 40 = -2. Let k = -18 - q. Suppose k*a - 6 - 3 = l, 5*a - 25 = 0. Let v(x) = x**3 - 5*x**2 - 6*x + 6. Calculate v(l). 6 Let k(z) be the third derivative of -z**5/60 + 19*z**4/24 - 10*z**3/3 - 583*z**2. Give k(16). 28 Let j(i) = -10 + 12*i - i - 8 + 12 - 9*i. Give j(5). 4 Suppose -2*o + 0*o + 8 = 0. Suppose -o*s + 4*t = -4, 7*s - 2*t - 20 = 2*s. Let f(g) = -g**2 + 5*g + 2. What is f(s)? -4 Let b(m) be the second derivative of -m**5/10 + m**4/4 + m**3/2 + 2*m**2 + 9*m + 1. Give b(3). -14 Suppose 4*m - 6*b + 11*b - 38 = 0, -5*m + 4*b = -27. Suppose -3*t + 40 = 2*t. Let a(r) = -5*r - 4 + 0*r**3 + t*r**2 - r**3 - 1. Give a(m). 9 Let q(s) = 27. Let i(z) = z - 30. Let m(n) = 3*i(n) + 4*q(n). Calculate m(-4). 6 Let x(r) = 2*r + 2. Let w be 1 - (-655)/(-5) - -4. Let t be w/26 + (-14)/91. Determine x(t). -8 Let x(o) = -2*o + 14. Suppose -c + 2*k - 7*k - 9 = 0, -5*c + 21 = 3*k. Give x(c). 2 Let w(r) = r**3 - 4*r**2 + 0*r + 5 + 4*r - 5*r. Suppose 0 = -7*t + 6*t + 4. Suppose -2*z + 4*y = -z - t, 3*y = 0. Calculate w(z). 1 Suppose -3*v = 2*o + 4, 4*o = -v - 10 - 8. Suppose -4*z + 14 = 2, -v*l = z - 5. Let h(d) be the first derivative of 8*d**2 - d + 18. What is h(l)? 15 Let f(l) = -32*l**3 + 31*l**3 + 125*l - 24 + 10*l**2 - 99*l. Determine f(12). 0 Suppose -13 = -5*l + 2. Let v(r) = 7*r - 37. Let m(i) = 11*i - 58. Let p(t) = 5*m(t) - 8*v(t). Give p(l). 3 Let p be 3*3/(-3 - -6). Suppose 4*h = -l + p, 0 = -3*h - 5*l - 15 - 4. Let u(a) = a + 7 - h*a + 0*a. What is u(5)? 2 Let s(u) be the second derivative of 1/3*u**3 + 1/4*u**4 + 1/20*u**5 + 0 + 3/2*u**2 + 7*u. Give s(-2). 3 Let n(t) = -3*t**2 - t - 1. Let d be (-12)/54 - (-292)/18. Suppose 8*w - d = -24. What is n(w)? -3 Let f(k) = k**2 - 6*k - 4. Suppose -u = 64 + 17. Let v = 88 + u. Calculate f(v). 3 Let m(x) be the first derivative of 3*x**2/2 + x - 1. Suppose -9*i + 408 = -78. Let a = i - 55. What is m(a)? -2 Let r(j) = -8*j**2 - 5*j + 2. Let v(m) = 0*m + m + 8 + m**2 - 8. Let u(a) = -r(a) - 6*v(a). Determine u(-2). 8 Let f(t) be the second derivative of -t**3/6 - 9*t**2/2 - 305*t. Give f(-9). 0 Let t(v) = -17*v + 13. Let n be t(7). Let z = -108 - n. Let l(h) = -h**3 - 2*h**2 + 2*h + 3. Calculate l(z). -1 Let q(c) = 113*c**2 + 12*c. Let v(h) = 4418*h**2 + 470*h. Let n(g) = 235*q(g) - 6*v(g). What is n(1)? 47 Let f(k) = k**3 - 22*k**2 - 2*k + 5. Let p(w) = -5*w**2 - 2*w - 1. Let g(m) = -f(m) + 6*p(m). Give g(-6). -23 Let d(o) = -o - 14. Suppose -15*p = 9*p + 168. Give d(p). -7 Let a(m) = -m**3 + 10*m**2 - 7*m - 11. Let g be a(9). Suppose 4*y + 6 = g*y. Let j(f) = -y*f - f**3 + 3 + 0*f**3 - 3*f + 3*f. Give j(2). -9 Let a(g) = 7*g - 1. Suppose 0 = -5*j - 2*z + 5, j + 0*j = -2*z - 7. Suppose 4*r + 11 = j*f, -7*r = -4*f - 3*r + 12. Give a(f). 6 Let k(o) = -28*o**2 + 10*o**2 - 3 - 3*o + 7*o**2 + 4*o**2 + 5*o**2. Determine k(-5). -38 Let u(h) be the first derivative of 19*h**3/3 + h**2 - 66. Calculate u(1). 21 Let q(b) = -b**3 - b - 5 - 3*b**2 + b + 2*b. Let g be q(-4). Let v(y) = -12*y**g + 4*y + 13*y**3 - 1 + 6*y**2 - 2*y. Give v(-6). -13 Let d(k) = 3*k + 1. Suppose 24*w - 23*w - 2 = 0. Calculate d(w). 7 Let u be (16/8)/((-4)/(-6)). Suppose 5*p - 3 = p + u*d, 0 = 5*p + 3*d + 3. Suppose p = -9*a + 8*a. Let x(r) = -r + 10. Give x(a). 10 Let d(q) = -6*q**3 - 20*q**2 - 5*q + 2. Let y(g) = -7*g**3 - 22*g**2 - 4*g + 1. Let t(m) = -6*d(m) + 5*y(m). Give t(-8). 41 Let w(o) = o**2 - 4*o + 5. Let d be (-7 - (-8 + 11)) + 12. Give w(d). 1 Let l(v) = -v**2 - 20*v - 20. Suppose 0 = -5*f + 5*o - 75, -25*f + 5*o + 39 = -26*f. Determine l(f). -1 Let v(r) = r**2 + 12*r + 14. Let b = 775 - 784. What is v(b)? -13 Suppose -5*x - 3 = 2*y, 0 = 2*y - 0*y + 8. Let m be -1*(x - 2) + 2. Suppose 1 - m = h - r, -5*h - r - 22 = 0. Let t(g) = g**2 + 3*g - 3. Give t(h). 1 Let k(t) = -3*t - 21. Suppose 101*l - 106*l - 30 = 0. Determine k(l). -3 Let l(p) = 4*p**2 + 2*p**2 - p**2 - 16*p**2 + 4 - 8*p + 12*p**2. Let y be (-3 + 0)*14/(-6). Calculate l(y). -3 Suppose -4*n + n + 3 = 0. Let v(h) = -h**2 - 2*h + 1. What is v(n)? -2 Suppose 0 = 5*a - 6*a + 1. Let x(r) = 38*r + 8. Let q(g) = 13*g + 3. Let l(j) = 11*q(j) - 4*x(j). Determine l(a). -8 Let r(t) = t**3 - 7*t**2 + 7*t - 4. Let v be r(6). Let l(s) = 4 + 1 + 1 + v*s - 4. Determine l(-3). -4 Suppose 3*q + 3*b - 42 = 0, 2 = q - 0*b - 2*b. Let r(d) = -d**3 + 9*d**2 + 12*d + 4. Determine r(q). 24 Suppose 2*c - 5*s - 22 = 0, -4*s - s = c + 19. Let a = 17 + c. Suppose 2 = -r + 2*r, v = 5*r - a. Let b(t) = -t**2 - 7*t + 1. What is b(v)? -7 Suppose 2*k - 37 + 21 = 3*u, 4*u = -3*k + 24. Let d be 4/6 - 141/9. Let l = k + d. Let b(x) = -x - 8. Determine b(l). -1 Let w(p) = 4*p + 48. Let r be w(-11). Let d(i) be the third derivative of 0*i**3 + 1/60*i**5 - 1/12*i**r - i**2 + 0*i + 0. What is d(-2)? 8 Let k(v) = v**3 + 7*v**2 - 11*v - 9. Let j be k(-8). Let i be 8 + 17 - (10 - 4). Let a = j - i. Let t(q) = q**3 + 4*q**2 - 2. What is t(a)? -2 Let k(d) = -d**2 - d - 1. Let n(z) = -7*z**2 - 27*z - 23. Let h(v) = 6*k(v) - n(v). What is h(-20)? -3 Let c(l) be the second derivative of l**3/3 - l**2/2 - 3*l. Let b be c(2). Let a(n) = 390*n - 198*n + 2*n**2 - 4 - 193*n. Calculate a(b). 11 Let z(l) be the second derivative of -l**3/6 - 5*l**2/2 - 3*l. Let x be (11 - 9) + (-4)/(-2 + 4). Determine z(x). -5 Let p = -2 - -7. Suppose -p*s + 33 = -5*m + 3, 0 = -5*s + 2*m + 18. Let j(h) = 3*h**2 - 2*h - 2. Determine j(s). 6 Let i(t) = t - 9. Suppose 5*a - 3*a = 0. Suppose a = -17*v + 19*v. What is i(v)? -9 Let r(b) = b**2 + 7*b + 6. Let l = -41 - -45. Suppose 0 = 2*q, -l*w + 2*q - 28 = 6*q. Give r(w). 6 Let f be ((-3)/5)/((-1)/5). Let x(a) = -a**2 + a + 6. Let j be x(-2). Let y(k) = 4*k + 0 + k**2 + j*k + 0*k + f. What is y(-2)? -1 Let m(f) = 5*f - 3. Let j(p) = 8*p - 7. Let o(i) = -2*j(i) + 5*m(i). Let z = 5 + -3. Determine o(z). 17 Let i = 21 + -22. Let r(z) = 3*z**3 + 2*z + 2. Let h be r(i). Let n = h + 2. Let k(w) = -7*w. What is k(n)? 7 Let k(h) = h**3 + 5*h**2 + 2*h - 6. Let r(q) = -q**2 - 2. Let a be r(1). Give k(a). 6 Let n(r) = r**2 - 3*r - 3. Let c(h) = -h**2 - 7*h - 6. Let v be -3 + 5 - 10 - -3. Let q be c(v). Calculate n(q). 1 Let n(b) be the second derivative of -b**4/12 - 2*b**3/3 + 3*b**2 + 187*b. What is n(-6)? -6 Let h = -220 - -224. Let b(u) = -u**3 + 6*u**2 - 5*u - 4. Calculate b(h). 8 Let p(z) = 2*z - 2. Let g = 11 - 20. Let j = g + 9. Suppose 5*q = 3*s - 5 + 18, j = 3*q + 4*s - 31. Give p(q). 8 Let q(l) = 7*l + 7. Let s(g) = -g. Let p(b) = -q(b) - 6*s(b). Determine p(-10). 3 Suppose 15 = 5*g - 10. Let z(t) = -4 - 122*t + g*t**2 - 2*t**2 - t**3 + 126*t. Calculate z(3). 8 Suppose -11*x = -132 + 176. Let z(t) = -t**3 - 3*t**2 + 3*t - 7. What is z(x)? -3 Let l(b) = -b**2 + 5*b - 3. Let z = 20 + -10. Suppose -28*o + 30*o = z. Determine l(o). -3 Let p(s) = 2*s**2 - 151*s - 1 - 3*s**2 + 143*s - 3. What is p(-8)? -4 Let q(g) = 7*g - 6 + 0*g - 6*g**2 - 2*g + 4*g**2. Let d = -2 + 6. Calculate q(d). -18 Let f(h) be the third derivative of 7*h**5/60 - h**3/6 + 518*h**2. Determine f(1). 6 Let j(t) = t**3 - 8*t**2 - 3. Let i(h) = 2*h - 27. Let q(u) = -8*u + 136. Let c(f) = -24*i(f) - 5*q(f). Let d be c(-5). Determine j(d). -3 Let z(x) be the first derivative of -x**4/4 - 8*x**3/3 + 5*x**2 - 14*x - 168. Give z(-10). 86 Let p(b) be the first derivative of b**3/3 + 3*b**2/2 - 5*b + 212. Give p(-5). 5 Let f(r) = r**2 + r - 1. Let w(p) = -2*p**2 - 8*p + 2. Suppose -3*l - 3*i + 3 = 0, 4*l + 5 - 17 = 4*i. Let h = -3 + l. Let u(n) = h*w(n) - 3*f(n). Give u(5). 1 Let x(o) = -9*o**2 - 3126*o**3 + 12*o + 6248*o**3 - 3121*o**3 - 10. Determine x(8). 22 Let j(v) be the first derivative of 1/4*v**4 - 2*v + 10 - 1/2*v**2 + 0*v**3. Calculate j(0). -2 Let m(y) be the first derivative of 16 + y**2 - 1/4*y**4 - y**3 + 0*y. Let q = -1 - 1. What is m(q)? -8 Suppose 0 = 5*f - 25, 0 = 2*l +
{ "pile_set_name": "DM Mathematics" }