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scaling_mia_the_pile_00_DM_Mathematics

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o the nearest 1000000? 8000000 Let i = 133.303 + -0.303. Let z = i - 130.08. Let s = 76.48 + z. What is s rounded to the nearest ten? 80 Let o = -4339 + -3527. Round o to the nearest one hundred. -7900 Let z = -91 - -55. Let h = 35.3 + z. Let p = h + 0.699999971. Round p to seven decimal places. 0 Let w = 33459.251 - 33475. Round w to 0 decimal places. -16 Let y = -2.63737 - 0.22173. Let m = 2.81 + y. What is m rounded to 3 dps? -0.049 Let a = 121 + -122.2. Let l = a - -2.97. What is l rounded to one decimal place? 1.8 Let l = 4570547716852.9999997253 + -4570547717360. Let s = l - -507. Round s to seven decimal places. -0.0000003 Let g = -92.3 + -24.7. Let b = 326.9524 + -209.9465. Let w = g + b. What is w rounded to three decimal places? 0.006 Let s = 0.0773 - 0.025. Let x = s + 0.0396. What is x rounded to 2 decimal places? 0.09 Let n = 6654.976025 - 6655. What is n rounded to 2 decimal places? -0.02 Let i(z) = z**3 + 6*z**2 - 15*z + 4. Let s be i(-8). Let k(a) = -787488*a + 48. Let w be k(s). Round w to the nearest one million. 3000000 Let y = 54 - 54.042. Let c = y - -0.0416928. Round c to 5 decimal places. -0.00031 Let p = -17460 + 17461.1305. Round p to two decimal places. 1.13 Let c = -127951 + 133703.7. What is c rounded to the nearest ten? 5750 Let w = 121 + -120.936. Let r = 10.60687 + -10.671. Let d = r + w. Round d to 4 decimal places. -0.0001 Let a = 39249 + -39249.000027228. Round a to 7 decimal places. -0.0000272 Let k = -4360 + 4432.92. Let c = 0.48 + k. Round c to the nearest integer. 73 Let d = -1 + 3. Let w(q) = -q**2 - 8*q - 7. Let v be w(-7). Suppose v = -4*r + 4*h - 133192, 68070 + 31826 = -3*r + d*h. Round r to the nearest one thousand. -33000 Let m = -23425.044683 - -23425. What is m rounded to three dps? -0.045 Let i = 99.41 - 6.41. Let r = i + -92.9997816. Round r to four decimal places. 0.0002 Let t = -4.6 - -4.7. Let y = -3.96 + -0.04. Let x = y - t. What is x rounded to the nearest integer? -4 Let i = 117.05536487 + -117.056. What is i rounded to 4 dps? -0.0006 Let w(i) be the second derivative of 102500*i**4 - i**3/3 + i**2 - 11*i. Let b = -77 + 78. Let v be w(b). What is v rounded to the nearest 100000? 1200000 Let n = -115.52521 + 115.4. Let z = n - -0.127. Round z to 3 decimal places. 0.002 Let f = 261.8038641693 - -0.1961611307. Let q = 262 - f. What is q rounded to 6 decimal places? -0.000025 Let d = -0.127 - 92.873. Let s = d - -93.037. Let c = 0.0369852 - s. Round c to 6 decimal places. -0.000015 Let s = -160 - -457. Let a = s + -297.21. Round a to two decimal places. -0.21 Let w be -1 - (-3)/((-12)/(-4)) - -2. Suppose 5*q = m + 28 + 327, -w*q - 3*m + 159 = 0. Suppose -3*u = -204 + q. What is u rounded to the nearest ten? 40 Let f = 0 - 0.68. Let s = 2.42 - f. Let x = s - 3.09997. Round x to five dps. 0.00003 Let n = 1870.5 + -1731.69. Let t = 141 - n. What is t rounded to 0 decimal places? 2 Let f = 378 + -412.5. Let a = 34.4492 + f. What is a rounded to 3 dps? -0.051 Let t(f) = 26 + 26 + 246*f**2 + 47*f - 235*f**2. Let h be t(23). What is h rounded to the nearest 1000? 7000 Let g = 6.259 + -16.7034. Round g to zero decimal places. -10 Let x = -387 + 267. Let i = -168824.2 - -168944.19732. Let h = x + i. What is h rounded to 4 dps? -0.0027 Let m = 133.138 + -133. Let h = 189.1 + -188.9707. Let i = h - m. What is i rounded to three decimal places? -0.009 Let f = -598.3 - -553. Let x = 39.994 + 0.006. Let b = x + f. What is b rounded to 0 decimal places? -5 Let z = 2200 + -1850.4. Let k = -17.6 + z. Let m = -351.3 + k. What is m rounded to the nearest ten? -20 Let i = 203 - 198. Suppose 2*f = 4*f + 4*c + 185984, 5*c - 465020 = i*f. Round f to the nearest 10000. -90000 Let f = 4 + -6. Let s = -176.9371 - -174.95. Let l = f - s. What is l rounded to 3 decimal places? -0.013 Let b = -3595.99 + 3580. Let r = -5.28 - b. What is r rounded to the nearest integer? 11 Let p = -10694.0028904 - -10694. What is p rounded to four decimal places? -0.0029 Let p = -1383 + 1382.3793. Round p to the nearest integer. -1 Let b = 189 - 115. Suppose 0 = -69*n + b*n - 3457345. Suppose 2*u = n + 2308531. Round u to the nearest 100000. 1500000 Let w = 42 + -96. Let l = -125 - w. Let k = l + 70.9999918. Round k to 6 decimal places. -0.000008 Let p = 0.212 + -1.642. Let v = 19.9830381 - 18.553039. Let a = p + v. What is a rounded to 7 decimal places? -0.0000009 Let w be ((-12)/2*-1)/(6/4). Suppose 1384 = 5*i + 3*z, -w*i + 2*z = -z - 1118. Round i to the nearest ten. 280 Let u = 178.4 + -515.4. Let r = 3221560.0309 - 3221897. Let v = r - u. What is v rounded to three dps? 0.031 Let n = -3461.253532 - -3461.88. Let m = -461.571868 + n. Let a = m - -461. Round a to two dps. 0.05 Let x = 7.371016884 - 7.371. Round x to seven dps. 0.0000169 Let w = 0.57907 + 11.26003. Let s = w - 11.9. What is s rounded to two decimal places? -0.06 Let g = 2420.6 - 2321.506. Let z = -236 + 137. Let q = g + z. What is q rounded to two decimal places? 0.09 Let z be (75677895/(-35) - 3)/((-11)/77). Round z to the nearest one million. 15000000 Let b = -1000.856 - 0.144. Let c = 1001.0000938 + b. Round c to five decimal places. 0.00009 Let w = -58.28 - 0.72. Let a = -62.493 - -0.793. Let f = a - w. Round f to the nearest integer. -3 Let n = 122811.13600018 - 122810.136. Let x = -390.3 - -391.3. Let q = n - x. Round q to 7 dps. 0.0000002 Let d(m) = -276*m - 6. Let t be d(-5). Let c = 2685 - 511. Let g = t - c. What is g rounded to the nearest 1000? -1000 Let l = -462.4 + 561. Let r = l + -2.6. Let z = r - 95.9999884. Round z to 6 dps. 0.000012 Let v = -12132.426 + 11956.425225. Let f = 176 + v. Round f to 5 dps. -0.00078 Let c(i) = i**2 + 14*i + 37. Let p be c(-11). Suppose 0 = -3*o - m + 5444 + 3980, 5*o = -p*m + 15716. What is o rounded to the nearest 1000? 3000 Let d = -126 - -129. Let u be 2028/(d - 0 - (-54)/(-20)). What is u rounded to the nearest one thousand? 7000 Let p(j) = 1151*j**2 - 11*j - 64. Let v be p(-8). Suppose b + 3*d = v, 4*b - 25*d - 294816 = -21*d. Round b to the nearest 1000. 74000 Let j(h) = -h**3 - 2*h**2. Let x be j(3). Let o be (x/10)/((-6)/4). Suppose 0 = o*k + 4*r - 2*r + 3892, 4*r = 5*k + 6516. Round k to the nearest 100. -1300 Let a = 0.0243327 - -2058.2856673. What is a rounded to the nearest 10? 2060 Let n = 0.34422 + -0.358683. What is n rounded to three dps? -0.014 Let n = 6235 - 6194.91. Let x = -40 + n. Let s = 0.051 - x. Round s to 2 dps. -0.04 Let a(f) = -179720*f**2 + 42*f - 58. Let l be a(9). Round l to the nearest 100000. -14600000 Let s = 0.226 + -3.037. Let z = 2.98 + s. Let g = -0.001 + z. What is g rounded to 2 dps? 0.17 Let c = -0.6474 - -0.647380196. What is c rounded to seven decimal places? -0.0000198 Let j(y) = -35134*y - 13. Let u be j(1). Let f(q) = 7892*q + 11. Let p be f(8). Let l = p + u. What is l rounded to the nearest 1000? 28000 Let x = 4.26 - -13.32. Let h = -47.65 + x. Let d = h - -0.27. What is d rounded to 0 dps? -30 Let o = -1536.944 - -1532. Round o to one dp. -4.9 Let p(x) be the first derivative of x**2/2 + 24*x - 21. Let q be p(-19). Suppose 2280 = 2*d - q*d. Round d to the nearest 100. -800 Let v = -63460 + 7625. What is v rounded to the nearest 1000? -56000 Suppose 3*v = -0*v + 31*v - 10794560. What is v rounded to the nearest one hundred thousand? 400000 Suppose -5*h + h - 3417012 = a, 2*a = -h - 6834003. Round a to the nearest 100000. -3400000 Let m = 0.4154 + 1.1052. What is m rounded to 1 decimal place? 1.5 Let r = 0.166845 - -293.606155. Let q = r + -294. What is q rounded to 2 decimal places? -0.23 Suppose 6 = -2*k + 2, -3*k - 6 = 4*s. Let z be 2/10*5/2*s. Let d(t) = -11*t - 290000. Let x be d(z). Round x to the nearest 100000. -300000 Let f = -27012 - -27011.30931. Let v = 112 + -112.69. Let s = v - f. Round s to 4 dps. 0.0007 Let j = 274 - 627. Let i = 351.37 + j. What is i rounded to one dp? -1.6 Let k = 10387 - 10386.99989733. What is k rounded to 5 dps? 0.0001 Let v(a) = 985*a**2 - 26*a - 152. Let z be 12/(-45)*15/10*30. Let x be v(z). What is x rounded to the nearest 10000? 140000 Let t = 195936520.1838 + -195964626. Let g = -28348.84 - t. Let w = g - -243. What is w rounded to 3 decimal places? -0.024 Suppose -68*j - 81 - 2231 = 0. Round j to the nearest ten. -30 Let j = -63
{ "pile_set_name": "DM Mathematics" }
positive. d**(-2845/252) Simplify (m*m/m**41)/(m/((m/m**(12/13))/m))*m**(-1/42)/m*m*m**(-2/9) assuming m is positive. m**(-67435/1638) Simplify ((w**(-1/9))**(-42)*w**(-18)/w**(-1/38))**(-2/23) assuming w is positive. w**(1517/1311) Simplify ((((u*u/(u**(-15/2)*u))/u*u*u/(u/((u/(u*u*u**(6/5)*u*u))/u)*u))**(-2))**(15/8))**(-22/9) assuming u is positive. u**(253/12) Simplify x**(-1/13)*x**(-17)*(x**(3/8))**(-11/3) assuming x is positive. x**(-1919/104) Simplify ((y/y**(-2/15))/(y*y*y/y**(1/5)))**41/(((y/(y*y/(y**(4/7)*y)*y))/y)/(y**(-5/2)*y)*(y/((y*y**(1/2))/y))**(-4)) assuming y is positive. y**(-2789/42) Simplify ((j**(2/7)*j/(((j*j*j*j*j/(j*j/(j*j**0)))/j)/j)*j)/(j**6*j*(j/j**1)/j))/(j**(1/5)*j**3*j**(-1/4)/(j**(-2/9)/j)) assuming j is positive. j**(-12457/1260) Simplify r**(13/5)*r*r/(r/((r/r**(-1/12))/r))*(r/r**(1/61))/r*r*r**(-1)*r assuming r is positive. r**(17081/3660) Simplify (c**(-2)/c**(-5/6)*(c*c/c**(-1/5))**(2/7))/(c**(-15)/c**2)**32 assuming c is positive. c**(114127/210) Simplify ((b**(-2/3))**(-1/15))**(-8/7)*((b*b**(-2/5)/b)/(b/((b*b**(2/5))/b*b)))/(b*(b/((b*b*b*b**5*b)/b)*b)/b*b/(b*(b**3/b)/b*b)*b) assuming b is positive. b**(2189/315) Simplify ((s*(s/s**(-25))/s*s*s*s*s**(-15))/(s*s**(-15)*s**(1/8)))**(2/25) assuming s is positive. s**(223/100) Simplify (((j*j/(j*j/(((j*(j*j**(-1/3))/j)/j)/j*j)*j)*j**3)/((j**(2/17)*j)/j*j**(-1/9)/j))**(-27))**(8/9) assuming j is positive. j**(-3256/51) Simplify t**(-2)/(t*t*t**(-2/3))*(t*t**1*t)**(-3/4)*t/t**4*t**6*(t**(-1)/t)**(-2/69) assuming t is positive. t**(-697/276) Simplify (((p*p**28*p)**(-10))**(-3/19))**(1/4) assuming p is positive. p**(225/19) Simplify (((y/(y*y*y*(y*y**(1/4))/y*y))**(10/7)/(y**(-1)/y)**(5/8))**(-8))**(-23) assuming y is positive. y**(-4370/7) Simplify (a**2/((a*a**(-4))/a*a)*(a/(a/a**(2/5)*a))**(-5/9))/((a**(-2/23)*a/a**(-2)*a)/(a**(2/3))**(-3/2)) assuming a is positive. a**(29/69) Simplify ((h/(h/h**(-6)))/(h**(-5)/h))**10/(((h**(-7)*h)/h*(h/(h/(h/(h/h**(2/17)))))/h)/(h**(-2/9))**43) assuming h is positive. h**(-256/153) Simplify (q**(-1/3))**(12/11)/(q**(-1/2)/(q*(q*q**(2/7))/q))*(q**1*q*q*(q/(q**2/q))/q)/(q**2*q**0) assuming q is positive. q**(219/154) Simplify ((t/(t/(t/(t**(-10)*t)*t)))/(t*t/t**(-1/11)))**(-5/8)/((t*t**(2/9)/t*t)/(t**1/t))**38 assuming t is positive. t**(-20597/396) Simplify (a/a**25*(a*a**(2/13)*a*a)/a*(a/((a*a**(-44)*a)/a))/a**(-1/5))**(-1/8) assuming a is positive. a**(-1453/520) Simplify (v**(-6)*v)/v**2*(v*(v*v/(v*v**(-2/7)*v)*v*v*v)/v*v)/v**(-6)*(v**2*v)**(-1/27)/((v*v/(v/v**(-7)*v))/(v*v/(v*v**(-1)/v*v))) assuming v is positive. v**(767/63) Simplify ((((o*o**(-11/5)*o)/o)/(o/o**(1/8)))/(((o**(-1/9)*o*o)/o)/o)**(-14))**(-2/35) assuming o is positive. o**(1307/6300) Simplify z**(-15)/(z*z*(z/z**(5/13)*z)/z)*(z**(17/2))**(-36) assuming z is positive. z**(-4207/13) Simplify (d*(d/(d**(1/24)*d*d))/d)**(8/5)/((d*d/(d**6/d))/d*d)**(-24) assuming d is positive. d**(-221/3) Simplify ((a**(-3/2)/(a*a**(1/8))*a**(2/9)/a**3)**(2/29))**31 assuming a is positive. a**(-12059/1044) Simplify (g**(-9)/(g/g**(-2/5))*(g**(-4/7))**18)**(-44) assuming g is positive. g**(31856/35) Simplify (b/b**(-39)*b*b**16*(b*b*b/b**(-38)*b)**9)**(2/179) assuming b is positive. b**(870/179) Simplify (r**(-1/4)/r**3)/(r*r**(-1)*r)**(2/3)*r**(-3)*r**(-5/6)*(r**1)**(-1/64) assuming r is positive. r**(-497/64) Simplify (w**(1/6)/w*w*w**(-5))**(-12)*(w**4/(((w/(((w**(-2/15)/w)/w)/w))/w)/w))/(w*(w/(w*w**(2/3))*w*w)/w)**(-10) assuming w is positive. w**(366/5) Simplify (((y/y**(-4))/y)/y**5*y**(1/8)/y**(-4))/((y**(3/2)/(y*y**(2/5)))/(y**(-3/7)/y**(1/4))) assuming y is positive. y**(657/280) Simplify (l/(l/l**(-2/5))*((l/l**(-4/3))/l)/l)**(1/9)/(l**(-1)/(l*l*l**(1/11)*l)*(l/(l/l**(1/3)))/l*l**(-7)) assuming l is positive. l**(17449/1485) Simplify ((((n/(n/(n/n**(1/44))*n)*n*n)/n**17)**(2/39))**47)**(-7/2) assuming n is positive. n**(217469/1716) Simplify ((v**(2/3))**(27/2)*(v/(v/(v**(-2/3)/v)))**(-14))**(7/5) assuming v is positive. v**(679/15) Simplify ((a/(a/a**0))**(1/4)*a**(-2/11)*a/(a*a**(4/5)))/((a**(4/3)*a**(-1/6))/(a**4/a*a**(2/3))) assuming a is positive. a**(167/110) Simplify (w**7*w**(1/6))/(w/w**1*(w**4/w)/w)*((w**(-4)*w*w)/(w**(-4)/w))/(w**(2/5))**(-1/3) assuming w is positive. w**(83/10) Simplify ((n**1)**(-1)*(n*n**8*n)/n**(-4))/(n**2/(n/(n/n**(-1/4))))**47 assuming n is positive. n**(-371/4) Simplify ((d**(-1/4))**18*(d*d**2)**(-7))**(-3/7) assuming d is positive. d**(153/14) Simplify (b**1*b**(-2/7)/b)**1/(((b**(-8)*b*b)/(b/b**(1/3)))/((b/(b*b*(b/(b*b**(1/4)))/b))/b*b*b)**47) assuming b is positive. b**(5471/84) Simplify (r**(-2/7))**37/(r**0/r*(r*r/(r*r**6)*r*r)/r)*(((r/(r*r**(-3/7)))/r)/r)/(r/(r**(-2/7)*r))*r**(-7)*r*r**(-2/9) assuming r is positive. r**(-860/63) Simplify ((((r*r**(1/4))/(r**(-1/12)/r))/((r/r**5)/r*r/(r*r**(-4/3)/r)))**23)**17 assuming r is positive. r**1955 Simplify ((o**0)**(2/5)*(o**1)**(-13))/(o**1*o*o/((o**7/o)/o)*o)**(-1) assuming o is positive. o**(-14) Simplify (p*p*p**(-3/5)*p*p*p)/(p**(-1/5)/p*p)*p**(-4)*p*p**(-1/3)*p*(p**1)**(3/5)*((((p/p**(-1))/p*p*p)/p*p)/p)**(25/2) assuming p is positive. p**(418/15) Simplify ((z/(z/(z*z**(-1/7))))/z**(-2/21)*(z**(1/6)*z*z)/(z/z**1))/(((z/(z*(z/(z/z**1))/z*z))/z)**40/(z**(-1)*(z/z**2*z)/z)) assuming z is positive. z**(3407/42) Simplify m*m*m**22*m**(-22)*m*m**1/m*m**34*m assuming m is positive. m**38 Simplify ((p**(-2/11)/p)/p*p*p**(1/4))/((p/(p*(p*p*p**(-4)*p)/p*p*p))/p**0)*((p*p/((p**2*p)/p))**44)**10 assuming p is positive. p**(-41/44) Simplify ((((b/(b*b**(-4)))/b*b**(-4)*b)**(-36))**(-38))**(2/9) assuming b is positive. 1 Simplify ((q**(2/9)*q**(3/5)/q)/(q**(-5)/(q*q*q**0*q)))/((q**0)**(14/3)/(((q**1/q)/q)/(q/(q*q*q**(-7)*q)*q))) assuming q is positive. q**(37/45) Simplify (s*s/(s*s**39))**(-1/46)*(s/(s**(-29)/s))/s**(-28) assuming s is positive. s**(1376/23) Simplify ((w*(w*w*w/w**(1/3)*w*w)/w)/w**(-1/4))**(-3/4)*(w**2*w/(w*w*w**(-2/3)))/((w**0*w)/w)**(-1/6) assuming w is positive. w**(-97/48) Simplify (x*x/(x/(((x**1*x)/x)/x)))**(-20)/(x**(1/3)/x**(2/5))*((x*x/(x*((x/(x/((x**(2/3)/x)/x))*x)/x)/x)*x)**(6/25))**(25/7) assuming x is positive. x**(-1703/105) Simplify (d**21/d**36)/((d*d/(d*d**(-1/38))*d)/d**14) assuming d is positive. d**(-115/38) Simplify ((h*h*h**23*h)/h)**20/(h**(-23)/((h*h**(5/8))/h)) assuming h is positive. h**(4189/8) Simplify ((u**(2/5)*u)**(1/3)/((u*u**3)/u**1))/(((u/u**(1/4)*u*u)/u*u*u)**(-34))**(-35) assuming u is positive. u**(-133951/30) Simplify ((o**(2/11))**2)**(-17)*((o*o/o**(-3/5))/(o/(((o/o**13)/o)/o)*o))**(-1/2) assuming o is positive. o**(57/110) Simplify ((b**(1/4)/b**(-2/11))/((b**(-6/11)/b)/b*b**(1/9)))/((b**(6/5)/b**3)/(b*b*b*b**(1/9)*b/b**(5/3))) assuming b is positive. b**(4693/660) Simplify ((q**11)**(1/4)/(q**(-15)*q*q*q**(-2/9)))**43 assuming q is positive. q**(24725/36) Simplify (d**(5/4)/d**15)**(-5)*(d/d**(-1/2))**35*(d**1)**37 assuming d is positive. d**(633/4) Simplify ((h*h**(9/4))**(-25)*h**(2/39)*h**(-3/10))**(-25) assuming h is positive. h**(317845/156) Simplify ((n**(-2/5)*n)/(n**(1/10)*n))**(8/15)*((n/n**(1/3))/n)/n*n**(2/15)*n/(n/(n/((n**(-5)*n)/n)))*n/(n**(-3/7)*n) assuming n is positive. n**(521/105) Simplify ((f*f**(-8))/(f**(4/5)/f))/((f/(f*f**(5/4)/f*f))/f*f**(-1/9))*((f/(f**(-2/7)*f*f))/(f**(-2/3)*f))**(-48/5) assuming f is positive. f**(7079/1260) Simplify (o**(3/7)/(o/(o*o**(-1/4))*o))**41*(o**0)**35*((o*o**6)/o)/(o**7*o*o) assuming o is positive. o**(-1027/28) Simplify (p**(-2/15)*p*p**(-3))**(-3/32)*(p/(p**(-3)*p))/((p/(p*p**(-5/4)*p))/p)*((p*p*p**(2/9))/p)/p**(-1) assuming p is positive. p**(1111/180) Simplify (l**42*l)/l**38*(l/l**(12/7))/l**(-29) assuming l is positive. l**(233/7) Simplify (l**(-1/2)/(l*l**(-1/13)))**(-11)*(l*l**1*l*l*l*l**1)/(l**(-1))**(-1/11) assuming l is positive. l**(6167/286) Simplify (o**7/o*o**2)**(-27)/(o**7/o**(-7))**(-12/5) assuming o is positive. o**(-912/5) Simplify ((q*q/(q/(q/q**(2/7))))/q)**(-4)/(q**(-2)/q*q*q**(-2/7))*q**4/q**6*(q*q/q**(-2/3))/(q/q**(6/7)*q) assuming q is positive. q**(-22/21) Simplify (((x/(x/x**(1/2)*x))/(x*x*x*x/((x/((x*x*x/x**(-5))/x))/x*x)))/((x/x**2)/x**(-5)))/((x**(-1/2))**(-10/13))**38 assuming x is positive. x**(-757/26) Simplify (v/v**5)/v*v*v**(10/7)*(v/v**
{ "pile_set_name": "DM Mathematics" }
32*a + 8 What is the p'th term of -376, -647, -908, -1153, -1376, -1571, -1732? p**3 - p**2 - 275*p - 101 What is the d'th term of 134, 138, 142? 4*d + 130 What is the z'th term of -16, -38, -68, -106? -4*z**2 - 10*z - 2 What is the i'th term of 43, 55, 75, 103, 139? 4*i**2 + 39 What is the z'th term of 22, 37, 40, 25, -14, -83? -z**3 + 22*z + 1 What is the q'th term of -43, -252, -831, -1966, -3843, -6648? -31*q**3 + q**2 + 5*q - 18 What is the a'th term of -37, -62, -127, -250, -449? -3*a**3 - 2*a**2 + 2*a - 34 What is the x'th term of 6, 30, 66, 114, 174, 246, 330? 6*x**2 + 6*x - 6 What is the f'th term of -250, -237, -200, -127, -6, 175? 2*f**3 - f - 251 What is the k'th term of -9475, -9476, -9477, -9478, -9479, -9480? -k - 9474 What is the q'th term of -4472, -17882, -40232, -71522, -111752, -160922? -4470*q**2 - 2 What is the r'th term of 12, 47, 132, 285, 524? 3*r**3 + 7*r**2 - 7*r + 9 What is the h'th term of 43, 100, 173, 268, 391? h**3 + 2*h**2 + 44*h - 4 What is the l'th term of 468, 472, 486, 516, 568? l**3 - l**2 + 468 What is the o'th term of 64, 82, 114, 166, 244, 354, 502? o**3 + o**2 + 8*o + 54 What is the r'th term of -370, -363, -354, -343, -330, -315, -298? r**2 + 4*r - 375 What is the r'th term of -12279, -12280, -12281, -12282? -r - 12278 What is the l'th term of -60, -91, -120, -147, -172? l**2 - 34*l - 27 What is the w'th term of -3708, -3715, -3726, -3741, -3760, -3783, -3810? -2*w**2 - w - 3705 What is the f'th term of -2762, -2770, -2784, -2804, -2830, -2862? -3*f**2 + f - 2760 What is the o'th term of -62, -251, -568, -1013, -1586, -2287? -64*o**2 + 3*o - 1 What is the r'th term of -739, -1476, -2213? -737*r - 2 What is the k'th term of 57, 24, -9? -33*k + 90 What is the g'th term of 160, 155, 146, 133, 116? -2*g**2 + g + 161 What is the d'th term of -52, -76, -100, -124, -148, -172? -24*d - 28 What is the s'th term of -13, -29, -59, -109, -185, -293? -s**3 - s**2 - 6*s - 5 What is the h'th term of 32, 29, 12, -25, -88, -183, -316? -h**3 - h**2 + 7*h + 27 What is the m'th term of -42, -179, -408, -729, -1142, -1647, -2244? -46*m**2 + m + 3 What is the o'th term of 87, 100, 131, 186, 271? o**3 + 3*o**2 - 3*o + 86 What is the u'th term of -518, -480, -428, -356, -258? u**3 + u**2 + 28*u - 548 What is the q'th term of -208, -227, -248, -271, -296, -323, -352? -q**2 - 16*q - 191 What is the h'th term of 217, 396, 575, 754? 179*h + 38 What is the x'th term of -68582, -68583, -68584? -x - 68581 What is the k'th term of -148, -151, -154? -3*k - 145 What is the t'th term of -30, -184, -340, -498, -658, -820? -t**2 - 151*t + 122 What is the y'th term of -1, 6, 17, 38, 75, 134? y**3 - 4*y**2 + 12*y - 10 What is the u'th term of 36, 19, 2, -15, -32, -49? -17*u + 53 What is the j'th term of 3336, 3321, 3292, 3243, 3168? -j**3 - j**2 - 5*j + 3343 What is the c'th term of -279, -530, -781, -1032? -251*c - 28 What is the q'th term of -354, -667, -966, -1245, -1498, -1719? q**3 + q**2 - 323*q - 33 What is the r'th term of -98, -85, -72, -59, -46? 13*r - 111 What is the n'th term of -631, -632, -633? -n - 630 What is the x'th term of 11, 48, 109, 194? 12*x**2 + x - 2 What is the x'th term of -21, -7, 11, 27, 35? -x**3 + 8*x**2 - 3*x - 25 What is the b'th term of -1397, -2795, -4193? -1398*b + 1 What is the h'th term of 28, 60, 114, 190, 288, 408? 11*h**2 - h + 18 What is the g'th term of 662, 1406, 2152, 2900, 3650? g**2 + 741*g - 80 What is the x'th term of -1106, -1121, -1160, -1235, -1358, -1541, -1796, -2135? -2*x**3 - x - 1103 What is the j'th term of -42, -90, -138, -186? -48*j + 6 What is the i'th term of 14, 29, 58, 107, 182, 289, 434? i**3 + i**2 + 5*i + 7 What is the s'th term of -4752, -4751, -4750? s - 4753 What is the y'th term of -41, 33, 247, 673, 1383? 12*y**3 - 2*y**2 - 4*y - 47 What is the d'th term of -118, -121, -124, -127, -130, -133? -3*d - 115 What is the p'th term of 3820, 7626, 11430, 15232, 19032, 22830, 26626? -p**2 + 3809*p + 12 What is the x'th term of 34, 59, 84, 109, 134, 159? 25*x + 9 What is the o'th term of -283, -566, -849, -1132, -1415? -283*o What is the h'th term of 14, -2, -22, -40, -50? h**3 - 8*h**2 + h + 20 What is the h'th term of 3, 46, 149, 342, 655? 5*h**3 + 8*h - 10 What is the s'th term of 40, 24, 6, -8, -12, 0? s**3 - 7*s**2 - 2*s + 48 What is the n'th term of -26, -27, -22, -5, 30? n**3 - 3*n**2 + n - 25 What is the o'th term of 86, 81, 74, 65, 54, 41? -o**2 - 2*o + 89 What is the x'th term of -57, -216, -481, -852, -1329, -1912? -53*x**2 - 4 What is the j'th term of 2243, 4489, 6735, 8981, 11227? 2246*j - 3 What is the j'th term of 221, 1787, 6043, 14333, 28001? 224*j**3 + j**2 - 5*j + 1 What is the w'th term of -73, -65, -43, -1, 67, 167, 305, 487? w**3 + w**2 - 2*w - 73 What is the a'th term of 53, 170, 349, 590, 893, 1258? 31*a**2 + 24*a - 2 What is the d'th term of -151, -148, -147, -148, -151, -156, -163? -d**2 + 6*d - 156 What is the q'th term of -380, -753, -1126? -373*q - 7 What is the b'th term of 652, 1302, 1952? 650*b + 2 What is the c'th term of 35, 25, 15, 5, -5, -15? -10*c + 45 What is the s'th term of -136, -138, -142, -148, -156? -s**2 + s - 136 What is the c'th term of -360, -713, -1066? -353*c - 7 What is the d'th term of -20, -15, 2, 37, 96, 185, 310? d**3 - 2*d - 19 What is the l'th term of 383, 392, 401, 410, 419, 428? 9*l + 374 What is the g'th term of -589, -1163, -1739, -2317? -g**2 - 571*g - 17 What is the o'th term of 30, 120, 270, 480, 750, 1080, 1470? 30*o**2 What is the u'th term of -23848, -23855, -23866, -23881? -2*u**2 - u - 23845 What is the q'th term of -1699, -6790, -15275, -27154? -1697*q**2 - 2 What is the d'th term of 20, 35, 40, 29, -4, -65, -160? -d**3 + d**2 + 19*d + 1 What is the b'th term of -7, -63, -203, -469, -903, -1547, -2443? -7*b**3 - 7*b + 7 What is the l'th term of 38, 41, 52, 77, 122, 193? l**3 - 2*l**2 + 2*l + 37 What is the j'th term of 54, 53, 52, 51? -j + 55 What is the g'th term of -2, 34, 122, 286, 550? 4*g**3 + 2*g**2 + 2*g - 10 What is the n'th term of -10430, -10447, -10490, -10571, -10702, -10895, -11162, -11515? -2*n**3 - n**2 - 10427 What is the u'th term of -819, -815, -799, -765, -707, -619? u**3 - 3*u - 817 What is the q'th term of -64, -249, -568, -1027, -1632, -2389, -3304, -4383? -q**3 - 61*q**2 + 5*q - 7 What is the z'th term of -16, -57, -120, -205, -312, -441, -592? -11*z**2 - 8*z + 3 What is the y'th term of 31, 130, 295, 526, 823? 33*y**2 - 2 What is the l'th term of 19, 31, 41, 49, 55, 59? -l**2 + 15*l + 5 What is the i'th term of 12, 13, 16, 21, 28, 37, 48? i**2 - 2*i + 13 What is the c'th term of 5653, 5654, 5657, 5662, 5669, 5678? c**2 - 2*c + 5654 What is the m'th term of 13, 14, 15, 16, 17, 18? m + 12 What is the s'th term of -10, -243, -630, -1171? -77*s**2 - 2*s + 69 What is the b'th term of -2, 6, 34, 94, 198, 358, 586, 894? 2*b**3 - 2*b**2 - 2 What is the r'th term of -125, -159, -193? -34*r - 91 What is the g'th term of 316, 313, 308, 301, 292? -g**2 + 317 What is the n'th term of -207, -416, -625, -834, -1043? -209*n + 2 What is the l'th term of 38, 173, 546, 1277, 2486? 20*l**3 - l**2 - 2*l + 21 What is the m'th term of -67, -203, -433, -763, -1199, -1747, -2413, -3203? -m**3 - 41*m**2 - 6*m - 19 What is the r'th term of -69, -71, -73, -75? -2*r - 67 What is the m'th term of 76, 146, 216, 286? 70*m + 6 What is the z'th term of -42, -38, -34? 4*z - 46 What is the l'th term of -38, -35, -32, -29? 3*l - 41 What is the u'th term of 413, 364, 315, 266? -49*u + 462 What is the v'th term of 9, 5, 1, -3, -7, -11? -4*v + 13 What is the g'th term of -17, -53, -105, -167, -233, -297? g**3 - 14*g**2 - g - 3 What is the n'th term of 75, 142, 199, 240, 259, 250? -n**3 + n**2 + 71*n + 4 What is the h'th term of 28620, 28619, 28618, 28617, 28616? -h + 28621 What is the b'th term of -16, -50, -90, -136, -188? -3*b**2 - 25*b + 12 What is the g'th term of -230, -204, -132, 10, 246, 600? 4*g**3 - g**2 + g - 234 What is the a'th term of 560, 2225, 4998, 8879, 13868? 554*a**2 + 3*a + 3 What is the w'th term of -45, -198, -457, -828, -1317, -1930, -2673, -3552? -w**3 - 47*w**2 - 5*w + 8 What is the n'th term of -135, -107, -75, -39, 1, 45, 93? 2*n**2 + 22*n - 159 What is the m'th term of 24, 40, 56, 72, 88? 16*
{ "pile_set_name": "DM Mathematics" }
the second smallest value in b, -2/7, i, -0.2? -2/7 Suppose 4*k + 3*v = -0*k - 24, v = -4. Let z = 0.49 + 74.51. Let j = -74.8 + z. Which is the smallest value? (a) j (b) k (c) -1 b Let j = -3576.62 - -3576.5. Which is the second smallest value? (a) 1/11 (b) 73 (c) j (d) -1/2 c Let u(d) = -d**2 + 7*d - 5. Let l be u(7). Let g = l + 4. What is the fourth smallest value in 4, -0.5, g, -0.4? 4 Suppose -4*g + 4 = 0, -7*y + 18 = -5*y + 4*g. Suppose l = -y + 3. Suppose 0 + 2 = h. What is the biggest value in -2/13, l, 2/3, h? h Let m be -65*(-14)/182 + 19/(-2). What is the fourth smallest value in 3, 0, -5/6, m, -3? 0 Let l = 25 - 24.7. Let t = -0.142 + -55.858. Let r = -53 - t. Which is the second smallest value? (a) r (b) l (c) 1 (d) 5/3 c Let g = -121 + 607/5. Let w be (-7 - (-26 - -8)) + (1 - 7). Suppose 16*r = w*r + 44. What is the second smallest value in 3/2, r, g, -1? g Let v = -27.03 - -27. Let m = 2694 + -2701. What is the smallest value in -0.3, m, v, -3? m Let n = 106.8 + -122. Let t = -18.2 - n. What is the biggest value in 1, t, -4/7? 1 Let f = -178/1047 + -57/349. Let n be (-9)/24*2/(-6). Let r = 2.8 - 24.8. What is the second biggest value in f, n, r? f Let p = -2.7339 - 1.2661. What is the fourth biggest value in p, -4/5, -5, -75? -75 Let y = -293.2 - -293.1. Let n = 5 - 16. Let q = 6 + n. Which is the fourth smallest value? (a) q (b) -0.4 (c) y (d) 0.4 d Let h = -253 + 133. Let r = -120.09 - h. Which is the biggest value? (a) -2 (b) 2/3 (c) 2 (d) r c Let f = 227/345 + -4/69. Suppose -1 = 18*s + 143. Let v be -2*(65/(-10) - s). What is the second smallest value in v, f, 0.4, -5/2? -5/2 Let f be 4/3*(-3)/(-22). Let o(m) = m**2 - 12. Let v be o(3). Let a be -1*(-6 - -2 - v). What is the biggest value in 0.3, a, f? a Let d be 10/18 - 3/9. Let k = 254.595 + -0.595. Let u = -258 + k. What is the biggest value in u, -5, d, -3? d Let j = 376/455 + 2/65. Let w = 613 + -613.007. Let a = 0.193 - w. What is the second biggest value in j, -0.2, a? a Let j be 3 - -14 - 23 - ((-3 - 1) + 0). What is the smallest value in -14, 116, 5, j? -14 Let t = -21 - -21.1. Suppose -60*m = -33*m + 135. Which is the second biggest value? (a) m (b) 10 (c) t c Let v = 1.2 + -0.2. Let m = 21468 + -21472. What is the third biggest value in -1/7, v, m? m Let u = 647 - 588. Which is the second biggest value? (a) u (b) -3 (c) -8/3 c Let b be 0/(3 + -1) + 7. Let t(x) = x**3 - 4*x**2 + 3*x + 4. Let k be t(3). Let g = -1045/36 - -117/4. What is the third smallest value in k, g, b? b Let y = 3599 - 3709. What is the third biggest value in -7, y, 0.5, -0.5? -7 Let w = 958/5 - 3837/20. Which is the second smallest value? (a) w (b) 2/9 (c) 355 b Let a = 1308.5 - 1709. Let i = -400 - a. Let s = 0.04 - 3.04. What is the biggest value in 4/3, 3, s, i? 3 Let u = 1496 + -1065. Let w = -431.5 + u. Which is the third biggest value? (a) -1 (b) w (c) -0.07 (d) 1 b Let v = -1.2 + -2.8. Let x = -731 + 736. What is the second smallest value in 26, x, -1, v? -1 Let y = 320.13 - -54.87. What is the third smallest value in -5, y, 1, -0.5, 5? 1 Let y = 668.1 - 665.1. Let q be 48/(-14) - (-14 + 11). Which is the second smallest value? (a) q (b) -3 (c) y a Suppose -4*f + 267 = -3*j - 125, 3*j + 380 = -2*f. Let b = j + 1922/15. Let q = -0.0111 - -0.5111. What is the biggest value in q, b, 0.8? 0.8 Let m = 7711 - 7710.84. Which is the third biggest value? (a) m (b) 5 (c) 7 (d) -2 a Let q = -176072/3 - -58690. Let s = 2 + -1.8. Let t be 0 + 2*(-3)/(-27). Which is the fourth smallest value? (a) s (b) -6 (c) t (d) q c Let g = -17043 - -153385/9. What is the fourth smallest value in -0.02, 3, -5, g, -4? -0.02 Suppose 4*q + 8*s - 7*s = -367, 5*s = q + 118. Which is the second biggest value? (a) 4 (b) q (c) 1 c Let s = -16.251439 - 23786.709561. Let f = -23813 - s. Let d = -0.039 - f. Which is the third smallest value? (a) 0.2 (b) d (c) -1 b Let c be (128/18)/2 - (-28)/(-7). Let f = 12.54 + -12.68. What is the second smallest value in c, f, -4? c Let p = -1282273/76 - -16872. Which is the third smallest value? (a) p (b) 1 (c) -5 (d) 4 b Let b = 54 - 66.2. Let m = b - -14. Let n = m - 2.3. What is the third smallest value in 0.2, n, -0.3, -0.05? -0.05 Let i be (1/42*6)/1*-1. Let d = -14.9 + -0.1. Let b = -20 - d. What is the biggest value in 0, b, i? 0 Let l = 0.9043 + 2.0957. Let w = -4 - 3. Which is the smallest value? (a) w (b) 1/10 (c) l (d) -0.3 a Let x(i) = 10*i + 293. Let k be x(-29). Which is the third biggest value? (a) -12 (b) -1/3 (c) 40 (d) k b Let b = 15076 + -15077. What is the fourth smallest value in 0.07, -2/9, b, -1/2? 0.07 Let s = 12 + -12.3. Let q = 7980.5 + -7980. What is the fourth biggest value in -4, 3, q, s? -4 Suppose -69*o = -13*o - 3472. Let n = o + -247/4. Let u = -84/5 - -77/5. Which is the third smallest value? (a) n (b) -0.1 (c) u a Let g = 10 - 10.026. Let h = 5.1 - 4.374. Let b = h + g. What is the third smallest value in 4, -1/5, 2, b? 2 Suppose 14 - 26 = c. Let q be 68/12 - (-60)/c. What is the smallest value in 3, q, 0.1? 0.1 Let n = 34.21 - 32.4. Let k = n + 2.19. Which is the second biggest value? (a) 0 (b) 1 (c) k b Let w = 0.23 - 3.63. Let g be 416/1140 - 30/855*-1. Which is the biggest value? (a) 3 (b) g (c) w (d) 4 d Suppose -31 = -123*x + 126*x + p, -4*p + 44 = -2*x. Which is the third smallest value? (a) -1 (b) -5 (c) x a Let y = -11.2 + 11.015. Let h = 0.685 + y. Which is the second smallest value? (a) h (b) -0.2 (c) -5/2 b Let o = -3988 - -3985. What is the third smallest value in -14, 0.04, o, 5? 0.04 Let s = -3117 - -3086. What is the smallest value in 5, 2/5, -0.5, s? s Let n be (-35)/30 - (-24)/36. Let v = -259/4 - -64. Let x = -3 - -3.2. Which is the third biggest value? (a) v (b) n (c) x a Let z = -326 + 1299/4. Let f = -0.129 - -0.039. Which is the fourth smallest value? (a) 2 (b) -0.1 (c) z (d) f a Let v = -793 - -550. Let d = v - -243.3. What is the fourth biggest value in -4, d, -5, 5? -5 Let w be (-3)/5*(-760)/152. What is the second biggest value in w, -3, -629? -3 Let t = -3558 - -3542.1. What is the smallest value in -12, 0, t? t Let i be (-1)/(-6 - (-1674)/282). Let y = 17 - i. What is the biggest value in 18, y, -4? 18 Suppose 1863*x - 3 = 1867*x + m, 2*m + 6 = -2*x. What is the fourth smallest value in -0.15, x, -8, 5? 5 Let c(b) = -b**2 + 9*b + 3. Let d be c(9). Let y be d/(222/(-4)) + 0. Let s = -100/481 - y. What is the second biggest value in s, -5, 5? s Suppose 2*g - 1595 = -1513. What is the third smallest value in -0.2, -2/11, g? g Let d = -1.284 + 1.384. Let j = 20 - 10. Let m = 7 - j. Which is the second smallest value? (a) d (b) -0.08 (c) m b Let y = 7486 - 7475. What is the second smallest value in y, -36, -0.01, -3/2? -3/2 Let q = 248.7 + -290. Let r = 41.681 - 0.681. Let j = q + r. Which is the third smallest value? (a) j (b) 4 (c) 1/3 (d) -4 c Let x = 2947 + -2972. Let t = 18655/4 - 4725. Let q = 61 + t. Which is the smallest value? (a) q (b) -3 (c) x c Let n = -17.0793 + 0.0193. Let y = -17 - n. Suppose 0 = 2*x - 3*s + 5, -3*s = 4*x - 4 + 5. Which is the third smallest value? (a) -3 (b) y (c) 0.1 (d) x b Let q = 3.6784 + -9.636. Let y = q - 0.0424. Which is the third smallest value? (a) 0.3 (b) y (c) 4 c Let f = -181/36 + 43/9. What is the third smallest value in -0.061, -2/13, f, -0.02? -0.061 Let k = -1265.5 - -1073. Let w = k + 190.9. Let z = 1 + -6. What is the smallest value in z, -0.1, w? z Let w = 25080 + -25056. What is the third smallest value in w, 1, 0.022? w Let u = -11565 - -11568. Which is the second biggest value? (a) 30.9 (b) 5 (c) u (d) 5/2 b Let k(h) = -h**3 + 24*h**2 + 22*h - 532. Let i be k(24). Which is the biggest value? (a) i (b) -2 (c) -57 (d) -2/11 d Let y = -314.5 - -311. Let k = -3.1 - y. Let q = -0.4 - 0.1. Which is the second biggest value? (a) -0.2 (b) -1/4 (c) k (d) q a Suppose g - 2*r + 118 = 0, -2*r + 254 - 24 = -2*g. Let i = -182 - g. Which is the third smallest value? (a) 0 (b) i (c) 0.5 c Let d = -1.37 - -2.07. Let y = -2.7 + d. What is the smallest value in 5, -0.1, y? y Let u = 6 + 29. Let x = -12 - u. Let s = 44 + x. Which is the second smallest value? (a) 0.3 (b)
{ "pile_set_name": "DM Mathematics" }
a. Is h not equal to 1? True Let g = -2/2259 + -94868/11295. Is g greater than or equal to -9? True Let y(o) = o + 3. Let b be y(-2). Let j be b/1 + -1 + 3. Suppose k = j*v - 11, -2*v = 2 - 10. Are k and -25 nonequal? True Suppose 2*u = 4*z - 3*u + 1, -27 = -2*z - 3*u. Let q(s) = -s**3 + 6*s**2 - s + 7. Let n be q(z). Let y = -438 + 437.9. Is n less than y? False Let w = -9 - -14. Suppose 3*o = w*o. Let h = 8/21 - -2/7. Which is greater: o or h? h Let o be (38 - -2)*6/(-12). Let x be ((-15)/50)/((-48)/o). Let j be (5/2 - 2)*2. Which is smaller: j or x? x Let j be 87/(-45) + 2 - 1443/12870. Is j at most as big as -32? False Suppose 535 = 2*u + 2*d - 7*d, 3*u = 3*d + 798. Suppose -3*n + u = 2*n. Suppose -47 - n = 5*k. Which is greater: -21 or k? k Let a(f) = -f**2 - 11*f + 1. Let d be a(-11). Let b be (-3)/(d - 28/16). Suppose l - b*l + 12 = 0. Which is bigger: l or 5? 5 Let x = 0.961 + 0.039. Is -421/4 at most as big as x? True Let k = -364 + 363.71. Which is smaller: k or 8? k Suppose -15 + 20 = f. Suppose 0*k + 265 = f*k. Is k not equal to 52? True Suppose 2*a + 48 = -4*k, 3*k - 2*a + 5*a = -36. Let c be (k/56)/((-4)/7). Let l(x) = x**3 - 2*x**2 + x - 1. Let w be l(2). Which is smaller: w or c? c Suppose 10*n - 6 = 13*n. Let g be (-1 - n)/(8/(-920)*-5). Which is smaller: g or 26? g Suppose 0 = s + 12*s + 3367. Is s greater than or equal to -259? True Suppose -8*q + 5*q = 0. Suppose 0 = -3*a + 3*l + 2*l + 110, -5*l + 65 = 2*a. Let z be (-2)/5*a/21. Which is smaller: q or z? z Let g = 27 + -18. Which is greater: -49 or g? g Let x be -5 - (0 - ((-59)/(-9) - 2)). Which is smaller: 1 or x? x Let j be (-22)/33 + 2/93*32. Is 1 > j? True Let c be (-2)/(-2) - 76/222. Let y = c + 1/111. Which is smaller: y or 1? y Let v(c) = c**2 + 16*c + 22. Let l be v(-15). Suppose -l*j = -0*j - 21. Which is greater: 10 or j? 10 Let z(s) = -s**3 + 5*s**2 - 4*s + 5. Let a be z(5). Let c be 6/a*(-6)/(-4). Suppose -13 = -26*g - 39. Which is greater: g or c? c Suppose 40 = 3*o + 10. Suppose -5*h - 5*t - o = -2*h, -3*t - 6 = -h. Are h and -1/20 non-equal? True Suppose 0 = -3*j + 2*u + 2*u - 11, 3*j - 14 = -u. Let v be (-8)/(-3)*j/36. Let y be 7 + (2/4)/((-3)/36). Which is bigger: y or v? y Let t = 0.04 + -0.14. Let j be (10 - (4 + 8))*(-10)/36. Is j less than t? False Let p = -1208 + 1209. Which is smaller: 128 or p? p Let f = 8 + -27. Suppose 568 - 208 = -20*v. Which is smaller: v or f? f Let q be -4 + -2 - (0 + 1). Let y(w) = -5*w - 7. Let m(l) = -l - 1. Let s(h) = -6*m(h) + y(h). Let t be s(q). Which is smaller: t or -7? t Let g = 1816 - 1786. Is 22 >= g? False Suppose 5*d - t - 3*t = -7, t - 1 = 2*d. Let r(f) = 3 - 3 - 1 + f. Let p be r(d). Which is smaller: -2/31 or p? -2/31 Let c be 1*147*(-2 - (-9)/3). Is c <= 443/3? True Let y be (-7)/(-34)*(-80)/(-140). Is y equal to 0? False Let w be (0/(-3))/(-2 - -1). Let u = 3779/5 + -765. Let t = u - -48/5. Is w equal to t? False Suppose 2*w + 0*w = 5*q + 85, -q = 5*w + 44. Which is bigger: -29 or q? q Let o = -1 - -16. Let t be (168/o)/(4/(-30)). Let z be ((-2)/(-4))/(6/t). Which is greater: z or -6? -6 Let s be 3130/(-410) + 1 + 6. Which is bigger: s or 0? 0 Let b be (-14)/(-2*(-1 - (-4)/8)). Is b > -20? True Let b be -2 + ((-11)/(-33) - (-368)/(-15)). Is b <= -27? False Let b be -2 + 1/(70/128). Let a = -187/70 - b. Let v(m) = 10*m**2 + 33*m + 7. Let f be v(-3). Is f <= a? False Suppose -242*n - 726 = -248*n. Is n equal to 0.1? False Let p = 15.926 + 0.074. Which is smaller: p or -1? -1 Let j be ((-2)/4)/((-4)/496). Let s = j - 63. Is s at least 0? False Let q = 2 - 0. Suppose -10 = 3*k + x, 2*k - q*x + 13 = 1. Let v = -279/2 - -135. Is k bigger than v? True Let s be 26/208 - (73/(-8))/(-1). Let w(k) = -2*k**2 - 3*k. Let c be w(-2). Let z(x) = -x**2 + 2*x - 1. Let t be z(c). Is t at least s? True Let r = 121 + -127. Suppose 3*i = -i + 20, -4*l + 3*i = 47. Are r and l equal? False Let o = 89 - 122. Which is greater: o or 0.8? 0.8 Let z(k) = k**3 - 16*k**2 - 16*k - 12. Let n be z(17). Suppose 0 = -2*q + 11*q - 63. Which is smaller: n or q? n Suppose 2*d + 18 = -5*a - 82, 0 = 5*a - 4*d + 70. Is a greater than -19? True Let d(k) = 4*k. Let a be d(-6). Suppose 0 = w + 4*j + 9, 5*j + 0*j = 4*w + 120. Which is bigger: w or a? a Suppose 4*t = 5*j + 5, 4*j - 5*j = 4*t + 1. Do -2/933 and t have the same value? False Let p(d) = -d - 10. Let w(n) = 2*n + 11. Let v(x) = 6*p(x) + 5*w(x). Let u be v(2). Suppose 5 = -u*a + 2. Which is smaller: 4/9 or a? a Let h = 7 + -7.03. Let w = 13.7 + 57.3. Let t = w + -71.3. Is h smaller than t? False Let s be (-42)/(-4)*(-336)/(-147). Is s at least as big as 49/2? False Suppose 0 = w + 4*w. Suppose w = -k - 4 - 6. Let v(y) = -y - 15. Let n be v(k). Which is greater: -7 or n? n Suppose 4*y - 26 - 30 = 2*v, -5*v + y - 158 = 0. Let g be (-28)/(-210) + v/330. Is 1 greater than g? True Let l = -73138 + 11775262/161. Let s = l + -3/23. Which is bigger: s or -1? s Let m = 109/8 - 14. Let y(s) = -s**3 + 7*s**2 - s + 8. Let k be y(7). Suppose 5*t = -3*o + 2 + k, 5*t - 4 = -4*o. Which is smaller: o or m? m Let i = -111.918 - -112. Let v = i + 0.618. Which is smaller: v or -2? -2 Let f = 727 + -421. Let a = 1544/5 - f. Let j(g) = 2*g**3 - 4*g**2 + g + 2. Let q be j(2). Does q = a? False Suppose 200 + 166 = 2*j. Is 183 equal to j? True Let o be 3 - -1 - (-7 + (-46)/(-4)). Is 80.7 > o? True Suppose 0 = 6*n - 5*n. Let l be (-14)/(-4)*2 + 1. Suppose 4*h = 8*h + l. Is h less than or equal to n? True Suppose 0*h - 12 = 3*h. Suppose 0 = -3*u - 3*z - 12, -4*z + 0*z - 4 = 2*u. Which is greater: h or u? h Let t(x) = -x**3 + 8*x**2 - x + 8. Let a(y) = y**3 - 12*y**2 - 13*y - 10. Let p be a(13). Let i be 3/(-15) - 82/p. Let z be t(i). Which is greater: z or -5/4? z Let l = -2/619 + 1248/3095. Is l > 0.2? True Suppose a - 21 = -2*l, 4*l - 15 = 3*l - 2*a. Suppose -4*h - 15 = l. Suppose -k - 6 = m, 3*k + m + 14 = -0*k. Is k greater than h? True Let b be (-303)/(-4)*(-648)/(-243). Is 201 <= b? True Let h = -12 - -8. Is h > -130? True Let g(h) = 31*h + 294. Let w be g(-8). Which is greater: w or 47? 47 Suppose -2*b - 6 = -z - 0*b, 20 = -2*z - 4*b. Let d = 243 + -210. Is z at least as big as d? False Let l = -2227 - -2230. Let z = -3 - -3.09. Is z less than l? True Suppose 4*g = -2*n + 18, -5*n + 2*g + 9 = -0*g. Let h be ((-42)/15)/(n/15). Let l be (h/21)/(4/18). Which is smaller: l or -5/2? l Suppose 7*k - 21 = 91. Which is smaller: 13 or k? 13 Suppose 56 - 209 = 3*f. Suppose -252 = 5*u - w, 5*u + 4*w + 71 = -171. Which is bigger: f or u? u Let v be (301/10)/(0 - 1). Let q = v - -1359/40. Let b = q + -17/4. Which is greater: 1 or b? 1 Suppose -a - 2*y = 4*a - 18, -14 = -4*a - 2*y. Let z be 2/4*(a - 16/4). Which is greater: -2/13 or z? z Let n(m) = -4*m + 13. Let y be n(3). Is 8/5 >= y? True Let m = -94 + 134. Suppose -3*l - m = -3*c + 2, 5*c = 3*l + 66. Do c and 13 have the same value? False Let o = -4 - -1. Suppose 6 = 3*v + c - 0, -5*v + 10 = -3*c. Suppose v*l + 3*k = 0, -4*k = 2*l - 8 + 4. Which is smaller: o or l? l Suppose 4 = 3*k + 4*n, 5*k = -n - 0*n - 16. Which is greater: k or -38/11? -38/11 Let h = -39 - -39.2. Let c = -0.05 + 4.55. Let z = -5 + c. Is h != z? True Let o = 400.1966 - 0.1966. Is 0 <= o? True Let g be 1 + 0 + (-45)/5. Let k be -3*g/12 + 7. Suppose -4*o - 2 = -b - 9, -b - k = -5*o. Which is smaller: b or 5/3? b Suppose -3*o = 46 - 166. Let t = 44 - o. Let v be (-2 + 45/12)*4. Which is bigger: v or t? v Let o(g) = -g**3 - 9*g**2 + 10*g - 4. Let v be 25*(2 - (-12)/(-5)). Let x be o(v). Let i = 67 - 72. Which is bigger: x or i? x Let o = -17 - -5. Let n = o + 24. Let j = 5 - n. Which is smaller: j or -2/5? j Let o(y) = 137*y**2 + y - 1. Let q(a) = -3*a + 8. Let p be q(3). Let v be o(p). Which is greater: v or 134? v Let n = -16 + 12. Suppose 0 = -z - 5*v + 12, -5*v = -z + 4 - 12. Let i = z + -4. Which is greater: n or i? i Let o = -0.2 + 11.2. Let q = -9.6 + o. Is 2/5 bigger than q? False Let s be (3/6)/((-22)/8). Let p = -56037/7 - -8018. Let d = 13 - p. Is s bigger than d? False Let i(l) = 2*l**3 + 57*l**2 + 72*l - 199. Let n be i(-27). Suppose -3*f = -f - 88. Is f >= n? True Suppose -5067*q - 3 = -5064*q. Which is greater: q or 57? 57 Let a = 141 - -317. Let z be a*(-5)/((-50)/(-3)). Let r = -137 -
{ "pile_set_name": "DM Mathematics" }
r m. 6 Solve -436*w + 3*l = -431*w - 15, -5*l + 3 = w for w. 3 Solve 0 = 3*s + 5*w + 37, -5*s + 101*w - 5 = 98*w for s. -4 Solve -5*s = -l + 23, 4*s - 12 = 7*s for l. 3 Solve 3*g - 4*h + 8 = 0, 3*h - 16 = -2*g + 7 for g. 4 Solve 0 = -5*t - o + 1, -13 = 1780*t - 1781*t + 3*o for t. 1 Solve -244*s - g + 17 = -234*s, s + 2*g + 3*g + 13 = 0 for s. 2 Solve -1054*x + 1056*x - 4*a = -2, 5 = x + 4*a for x. 1 Solve 4*l + 174*a = 177*a - 16, -3*l = a - 1 for l. -1 Solve -20 = 5*m, 65 = -4*o + 3*m + 93 for o. 4 Solve -3*d = 4*r - 3, -6*d - 4*r + 22 = 16 for d. 1 Solve y + 2*x = 13, 5*y = -2*x - 252 + 285 for y. 5 Solve -5*r + 3*m - 39 = 0, -3*m + 24 = -15 for r. 0 Solve 9 = 2*n + 2*p + 3, p - 35 = -37 for n. 5 Solve -2*q - 15868*v + 15865*v + 14 = 0, -10 = -2*q - 2*v for q. 1 Solve -10 = 2*o, -14 = 10*b - 7*b + o for b. -3 Solve -4*i + 4*q + 4 = 0, -62*i - 5*q - 45 = -57*i for i. -4 Solve -5*g = -5*f + 158 - 178, 5*g = -8*f - 45 for f. -5 Solve 5 = -t - 27*r + 25*r, 120 = 22*t - 4*r + 2*r for t. 5 Solve 2*t = -5*l - 873 + 871, -4*t + 14 = l for t. 4 Solve 2*k = 4*w - 28, -3*k + 31 - 52 = -3*w for k. 0 Solve -2*l = u + 463 - 482, 3*l + 5*u = 18 for l. 11 Solve s = 5*z - 611 + 596, -z - 18 = 4*s for z. 2 Solve -5*j + 3*y - 7 = 8, 2*y = 0 for j. -3 Solve 25 - 88 = -4*v + 5*t, 0 = 5*v + 6*t - 42 for v. 12 Solve 73*t - 70*t + 39 = -5*r, 5*r + 5*t = -45 for r. -6 Solve 4*h + 10*x + 38 = 0, -5*h - 2609 = -4*x - 2644 for h. 3 Solve 104297*m - 2*y = 104293*m + 16, 4*m = -4*y + 16 for m. 4 Solve -20*h + 21*h = 5*x - 27, 0 = -h - 3*x - 19 for h. -22 Solve 0 = 4*f - 2*t + 3*t + 7, 6*t + 15 = t for f. -1 Solve 501*d + 2*m = 503*d, d - 2*m + 2 = -0*d for d. 2 Solve -11 = 903*v - 904*v - 3*f, 5*v = 2*f - 30 for v. -4 Solve 0 = 5*g + 3*h + 46, 108*g - 37 = 114*g + h for g. -5 Solve 3*g + 3*x = 18, 805 - 838 = -5*g - 2*x for g. 7 Solve 50*x - 3*m + 11 = 55*x, 3*m = -4*x + 10 for x. 1 Solve 0*z = z - 4, 0 = 6*o + 4*z + 103 - 125 for o. 1 Solve -2*z + 12 = -2*b, b - 27 = -13*z - 5 for z. 2 Solve 5*n + g - 4 = 0, -3*n + 155 = 3*g + 143 for n. 0 Solve 0 = -3*d - 257*n + 262*n - 12, 5*n - 15 = 0 for d. 1 Solve -4*o + 21 = -3, 2 = 2*h + o for h. -2 Solve -4*q + 3*y + 16 = -16, -5*q + 9 = 4*y for q. 5 Solve 0 = -u - 4*c, -10*u + 0*c + 4 - 4 = -5*u + c for u. 0 Solve -2*g = 4, -150*k - 2*g - 4 = -149*k for k. 0 Solve 2*g - 3*f = 11, -3*f + 238 = 3*g + 244 for g. 1 Solve 31 = -5*w + 2*s, 0 = -4*w + 6*w - 5*s + 25 for w. -5 Solve 5*a - 32 = 4*z + 3*a + 6*a, 5*z = 3*a for z. -3 Solve 0*w + 4*w = 2*p - 2, 5*p + w = -28 for p. -5 Solve 6 = -2*y - z, -z + 20 = -2*y + 14 for y. -3 Solve -4*j + 9 = 3*o, 4*j - o = 15*o - 48 for j. 0 Solve 0 = -3*s + 4*s - 5*m - 4, 6*m - 7*m = 0 for s. 4 Solve 683*i - 682*i + 4 = 0, -2*g - 4*i - 32 = 0 for g. -8 Solve -32*t + 27*t - 5*x = -205, -4*t + 47 = x for t. 2 Solve -10*w - 2*d - 102 = 0, 34 = -22*w + 19*w - 4*d for w. -10 Solve 0 = q + 5*o - 15, 53*o = -5*q + 49*o - 9 for q. -5 Solve p - 1012 = 5*i - 1004, 0 = -p - 4*i - 10 for p. -2 Solve 3*i - 5*u - 4 = 0, -4*i + 3*u = -842 + 844 for i. -2 Solve c = 2*d + 33, -2*d + 25184*c = 25186*c + 24 for d. -15 Solve h + x + 8 = -0*h, -2 + 22 = -2*x for h. 2 Solve 32 = 5*b + j, 2959*b - 2957*b - 3*j = 23 for b. 7 Solve -3*w = 5*l - 3, -32*w + 28*w = l - 4 for l. 0 Solve 4*u + 0*u - 10 = -2, 49 = -7*g + 7*u for g. -5 Solve 8*o + 292*u + 40 = 294*u, -4*u = -3*o - 28 for o. -4 Solve 2*f - 5*w - 8 = 0, -130*f = -133*f + 5*w + 12 for f. 4 Solve -14 = 17*v + 3*l + 35 + 4, -v + 4*l - 24 = 0 for v. -4 Solve 5*z - 4*c = -24, -3*z + 13 = 2*c + 1 for z. 0 Solve 2*n + 37*x = 12*x + 173, -2*x = -14 for n. -1 Solve -4*s - 3*z = -2, s + 11 = -4*z - 8 for s. 5 Solve -283*r + 284*r - 2 = 3*w, 4*r - 8 = 3*w for r. 2 Solve 4*h = -2*u - 14, -3*h = 4*u + 101 - 88 for u. -1 Solve -19*y + t = 147, -502*t = -2*y - 504*t - 26 for y. -8 Solve 2*z - 13 = -14*s + 11*s, -4*z + 5*s + 15 = 0 for z. 5 Solve 7*t - 9*t = -s - 13, 4*s = t - 24 for t. 4 Solve 5*u + 5493*h - 5492*h - 31 = 0, -5*u + 5*h = 5 for u. 5 Solve 0 = 4*f + 2*b - 8, 4*b + 23 - 30 = -5*f for f. 3 Solve 5*j + 40 = -3*v, j - 25169 = -3*v - 25189 for j. -5 Solve -j + 101*m - 100*m = -2, m = 3*j - 6 for j. 2 Solve 52*j = 50*j - c + 12, j + 3*c = 41 for j. -1 Solve -4*o + j - 25 = 0, -5*o - 9*j - 85 = -64 for o. -6 Solve -1206*l + 1202*l - 4*h - 20 = 0, -4*l = -7*h - 13 for l. -2 Solve -19 = -3*p - g, 14*g - 12*g = 5*p - 17 for p. 5 Solve -2*d - 2 = 0, -4 + 2 = -4*l - 2*d for l. 1 Solve 4*t = 4*g + 48, -41 = -603*g + 606*g - 4*t for g. -7 Solve -3*g - 3*a + 12 = 0, 622*a + 36 = 2*g + 617*a for g. 8 Solve -5*k = -2*r + 9, k = 3*r - 8 + 1 for r. 2 Solve -15*g - 30 = 0, 39160*g = h + 39159*g + 3 for h. -5 Solve 0 = 4*b + 4, 100 = 2*w - 18*b + 80 for w. 1 Solve 14*f + 9 = -x + 9*f, -2*x + 3*f - 31 = 0 for x. -14 Solve -3*h = -u - 8*h - 10 - 13, -5*u = -2*h + 7 for u. -3 Solve -i - k + 4 = 0, 501*i - 37 = 497*i - 7*k for i. -3 Solve 34*b - 70 = 36*b - 4*w, -2*b - w = -30 for b. 5 Solve 77 = 14*k - 3*z, 12*k - 5*z = 17*k + 15 for k. 4 Solve 4*r - v = 19, -123*r + 129*r = -5*v + 9 for r. 4 Solve 3*p = -18, 2*p = -39*z + 33*z + 12 for z. 4 Solve -667*z = 2*h - 664*z + 55, -4*h + 327 = -17*z for h. 1 Solve 4 = -4*y + 733*z - 729*z, 0 = 4*y - 2*z - 2 for y. 2 Solve -b = -j - 10, 16*j - 10 = -4*b - 26*j + 36*j for b. 7 Solve 0 = -3*h + 9, -7 = 10*m - 12*m + 5*h - 20 for m. 1 Solve -103*g - 6 = -102*g + 2*z, -g - 4*z + 4 = 0 for g. -16 Solve -25 = 5*x + 10, -33 = -2*l + 5*x for l. -1 Solve 5*c + 9 = -3*z, -1776*c + 3 = -1780*c - z for c. 0 Solve 11*f + 7*r - 22 = 0, -4*f + 2251 = -r + 2243 for f. 2 Solve -3*n = -5*j + 3, -2*n + 2*j - 10 + 8 = 0 for n. -1 Solve 31 = -2*w - 5*f + 34, -5*w + 2*f = 7 for w. -1 Solve -14*k = -w - 65, -k - 4*w = -59 + 34 for k. 5 Solve 4*a = 2*y + 6, -5*y - 138*a + 21 = -139*a for y. 5 Solve 4*n - 4*b = 48, 5*n - 4*n - 2 = -4*b for n. 10 Solve 0 = -4*c - 2*p - 2, 3*c - 2*p - 9 = 0 for c. 1 Solve -5*g = 5*q - 20, 13*g + 4*q + 20 = 15*g for g. 6 Solve s + 3*j - 12 = -5, 2668*s - 4*j + 22 = 2663*s for s. -2 Solve 4*x = 10*r + 3*x + 29, -3*r - 2*x = 11 for r. -3 Solve 2*t = 4*a + 92, -10171*a = t - 10170*a + 20 for t. 2 Solve 4*z = 4*b + 40, z - 741*b - 15 = -739*b for z. 5 Solve 20 = 2*v - 4*x, -53*x = 3*v - 58*x - 25 for v. 0 Solve 10 = -2*y - 4*x, -105 - 85 + 230 = -14*y + 2*x for y. -3 Solve -3*n = 5*r, -3*n - 13*r + 27 = -17*r for n. 5 Solve f - 5*u = -u - 10, -4*f + 14*u = 40 for f. -10 Solve -4*f - 4*m - 16 = 0, 3*f - 59 = m - 75 for f. -5 Solve -h - 6873*n + 6877*n - 40 = 0, -n = -11 for h. 4 Solve 127 = 2*z - 4*l + 111, -4*z - 2*l + 12 = 0 for z. 4 Solve -9*g - 8 = -7*g - 2, 5*y - 2*g - 1 = 0 for y. -1 Solve 2*r - 19 = -m, -4*r - 3*m + 105 = 66 for r. 9 Solve 8*x + 3*t - 17 = 0, -24 = -x - x - 3*t - 31 for x. 4 Solve 3*k + 2*l = 7, 129*l = 8*k + 128*l + 13 for k. -1 Solve 8*i = 3*s - 40, 0 = -3*s + 3*i + 90 - 75 for s. 0 Solve 6 = 2*z + 4*a, 3*a = 1487*z - 1482*z - 15 for z. 3 Solve -6*b + 4*k - 24 = -82, 4*b - 40 = 3*k for b. 7 Solve 5*i = -2*s - 20, -4*s + 43 - 55 = 3*i for i. -4 Solve -t + 24 = -3*k, -3*t - 541*k + 544*k + 42 = 0 for t. 9 Solve 15*i = -45, -2*u = u - 2*i - 85 + 94 for u. -5 Solve 5*j = 2*r + 2173 - 2182, 3*r = 5*j + 11 for j. -1 Solve -d - 3*k = -5, -4*d - 8 - 20 = -4*k for d. -4 Solve -172*o + 175*o = 5*t - 17, -20 = -5*t for o. 1 Solve 0 = -2*q - 35*n + 40*n + 83, 2*q - 53 = 3*n for q. 4 Solve 6*a + 2*a = -v - 15, -6 = v - a for v. -7 Solve 2*i - y - 34 = -11, 2*y = 10 for i. 14 Solve 2*n = -4*h + 8, -7*h + n = -6*h - 5 for h. 3 Solve -5*l + 10 = -m, -204*m + 207*m + 6*l = -0*l - 9 for m. -5 Solve -1927*f = -u - 1924*f + 35, 0 = 5*u + 4*f + 34 for u. 2 Solve 0 = -3*x - 2*g + 323 - 347, 2*x + 9 = g for x. -6 Solve -364 = -4*y + 5*v - 396, 3*y - 2*v + 17 = 0 for y. -3 Solve 0 = 2*c - w + 6, 63009*w + 30 = 2*c + 63014*w for c. 0 Solve -2*k - 5*b = -27, 5*k - 164*b = -162*b - 34 for k. -4 Solve 0 = -5*b + 3*k + 286 - 295, 3*b = -5*k + 15 for b. 0 Solve -11751*k + 11755*k = -r - 25, 0 = 4*r + k + 100 for r. -25 Solve -z = 3*q - 0*q + 22, 4*q + 16 = -4*z for q. -9 Solve 3*c + o = -22, -135 = -c - 3*o - 161 for c. -5 Solve 0 = -4*l - 3*g + 22, 4*l - 33 = 6*g + 7 for l. 7 Solve 3*c - 3 = -11798*s + 11796*s, s = 0 for c. 1 Solve 0 = -45*
{ "pile_set_name": "DM Mathematics" }
18. Suppose -y + d = -o, -3*y - 1 = 3*d + 2. Which is bigger: y or -1/21? y Let k = -1098.94 - -1108. Let t = k - 0.06. Let g = 8.9 - t. Which is greater: g or -5? g Suppose 5*n + 5 = -5*s - 5, -2*n - 4*s - 8 = 0. Let h = 0 - n. Which is smaller: -1/171 or h? -1/171 Let d be ((-4)/5)/(2/(-5)). Let t(n) = -18*n + 146. Let l be t(8). Let j be (d*l)/((-6)/(-3)). Are 3 and j non-equal? True Let h(b) = b + 4. Let z be h(11). Let k be (-10 + z)*(-7)/5. Let o = 52/7 + k. Which is smaller: -1 or o? -1 Let c be (3/(-52))/(510/(-544)). Is c less than or equal to 0? False Let c be (-4)/(1 + 3) - -2 - -3. Suppose -i + 3*x - 22 = 0, 0 = c*i + 4*x + 4 + 4. Let q = 7 - 14. Is i smaller than q? False Let c = -713 - -712.6. Which is smaller: c or 0? c Suppose -76 + 92 = -4*x. Suppose 2*n + 5*g = -6, -5*n + g - 25 = 17. Is n at least x? False Let w be 0 - ((-1 - -4) + -3). Suppose u + w*u - 2 = 0. Suppose -u*o - 8 = -s - o, -12 = -3*s - o. Is s != 5? False Let y be ((-96)/(-56))/(1/14). Let h = 13 - y. Let b be (2/(-4))/(h/(-220)). Is b at least as big as -10? True Let y be 8 + (-1)/2*108. Which is smaller: -93/2 or y? -93/2 Let z = 22.37 - 20.37. Is z > -459? True Suppose -2*v - 12 = -3*p + p, 0 = 3*p + 4*v - 11. Let i = 14.8 - 13.8. Is i <= p? True Let c be 4/(-3) - 4/6. Let h = -36.6 + 36.6. Which is greater: h or c? h Let o = 108.3 - -39.7. Which is smaller: 2/5 or o? 2/5 Let l be (4 + (2 - 6))/1. Is l at most 1/83? True Let m = 84 + -84.8. Let i = -0.69 + -0.16. Let b = m - i. Which is smaller: 0.2 or b? b Let w(l) = l**2 + 9*l + 16. Let g be w(-7). Suppose -4*c - 8 = m, 5*m + 1 + 3 = -g*c. Suppose -5*b = -10, 2*s = 2*b + b - 6. Is s greater than c? True Let o(d) = d**3 - d**2 - 9*d + 5. Let h be o(3). Let g = 11 + h. Which is smaller: g or 6? 6 Let o = 37/10 + -21/5. Suppose -5*z + 7*j = 4*j - 5, 3*z - 2*j - 4 = 0. Does o = z? False Suppose 2*h + 28 = 4*v, -v - 7*h + 3*h = -16. Let q(n) = n**2 - 7*n + 6. Let r be q(v). Let s be -2 + 2 + (r - 0). Which is smaller: s or 15? s Suppose -253 + 152 = 3*q + c, 3*q + 3*c + 99 = 0. Which is greater: -167/5 or q? -167/5 Suppose 9*z - 55 = -19. Let d(t) = -t**2 + 5*t - 2. Let n be d(4). Suppose 6*i + z = -n. Which is greater: -2/53 or i? -2/53 Let w(y) = -6*y - 35. Let j(h) = 2*h + 12. Let l(n) = -7*j(n) - 2*w(n). Let p be l(-5). Is p at least -60/13? True Let u(c) = -2*c**3 - 8*c**2 - c - 5. Let i be u(-4). Let o be (-13 + 4 + 1)*(-2)/i. Are -17 and o non-equal? True Suppose -14391 = 26*n - 13*n. Let m = -18814/17 - n. Which is bigger: m or -1? m Suppose -5*b + 29 = 2*f, 0 = 3*b - 6*b - f + 18. Let c(i) = i**3 - 8*i**2 + 11*i - 12. Let y be c(b). Is 16 > y? False Let c = -16/3 - -77/15. Let d = -300 - -299. Is c greater than or equal to d? True Let g = 0.115 - 51.115. Let y = 50.75 + g. Which is bigger: y or 0.1? 0.1 Let o be (-18)/8*120/(-90). Let a be -1 - -5 - -1*(o - 6). Let v = 14/5 - 17/15. Is a at most v? True Let c = -0.1897 - 15.7503. Let s = c - -16. Let y be 2/(-6) + -1*2/12. Which is bigger: y or s? s Let h(l) = 2*l**2 + 7*l + 5. Let r be h(-4). Let g = r + -5. Let k be -2*21/30 - 6/10. Which is greater: g or k? g Suppose -3 = 4*u - 7. Let d = 78505/38 - 2066. Is u <= d? False Let d be (-1)/(-2) + 2/4. Suppose 5*x = 4*n - 4, -2*n + 2*x = n - 10. Let i be 14/(-6)*(n + (-640)/105). Does d = i? False Let r = 3 - 3. Suppose -4*f + 25 + 19 = r. Suppose -2*i - 1 = w - 17, 4*w + 16 = 0. Is i <= f? True Suppose -7*n + 6*n + 4 = 0. Let m be -58 - -3*(-9)/((-54)/n). Is -56 != m? False Let t be -3 + (-2)/(-2) + -1. Let x = 6312 - 18631/3. Let o = 100 - x. Is o smaller than t? False Let c = 7270 - 305113/42. Let l = 29/6 - c. Is l at least 0? False Let o(x) = x**2 - 2*x + 1. Let d be o(0). Suppose -2*q - k + d + 7 = 0, 0 = 2*q - k - 8. Which is bigger: q or 2/3? q Let n be -6 - (288 + -14)*(-4)/183. Which is bigger: 0 or n? 0 Suppose -2 = -8*z + 6. Suppose 2*g - 3*u + 5*u = 40, -2*u = g - 22. Suppose 2*p + 0 = -4*r + 22, -3*r = 3*p - g. Is p greater than z? False Let x = -4 - -6. Suppose x*r - 6 + 2 = 0. Suppose 5 + r = -j + 4*n, 4*j - 12 = -4*n. Is 1 less than j? False Let l be 0 + (-594)/(-14) - (68 - 73). Are 47 and l unequal? True Let n = -78 + 79. Is n equal to -0.07? False Let v be (-3)/(3/(-4))*(-260)/(-10). Let s = -104 + v. Let w be 1/(22/12 - 1). Which is greater: w or s? w Let i be (-22)/(-165) - (-149)/(-330). Is i greater than or equal to -1? True Let j = 34 - 1594. Suppose 1 = q + 3. Let i be -4 + (j/196)/q. Is 0 greater than i? True Let x(m) = -m. Let r be (-4)/2 - 3 - -3. Let y be x(r). Suppose 3*f - y = 4. Are f and 1 equal? False Suppose -2*l + 5*c = -35, 4*l - 7*l + 48 = -3*c. Suppose l = -u - 5*a, 3*u - 4*u + 4*a - 6 = 0. Is -9 at least as big as u? True Let t be (-1 + 3)/(116/(-114) - -1). Is 0.5 not equal to t? True Let t(h) = h - 7. Let f be t(6). Suppose -12*a + 18*a + 798 = 0. Let y = 663/5 + a. Are y and f equal? False Let w = 32 - 32. Let l be (-1 - w)/(4/8 - 0). Is -12/7 < l? False Suppose 5*c + 4*g - 7*g - 35 = 0, -2*g + 6 = 4*c. Suppose -5*r = -0*r + c*b - 30, 10 = 2*b. Do -4/9 and r have the same value? False Suppose -3*y - 3*u = -123, -8*y + 4*y = u - 149. Let x be 3*(-4)/y + 61/(-33). Is x greater than or equal to -3? True Suppose 14 = -10*v + 8*v. Is v > -34/5? False Suppose 0 = 4*j - 5*n - 32, -16*j + 4*n = -18*j + 16. Is -26 at most j? True Suppose 621 = -4*u + 13*u. Which is greater: 344/5 or u? u Let j = -112 + 113. Which is smaller: 2/553 or j? 2/553 Let v(d) = d**3 + 11*d**2 - d - 11. Let w be v(-11). Let n be w/(4 + (-6)/1). Suppose -f = -n*f. Which is greater: f or 16? 16 Let y be (-398373)/948 + 3/((-12)/(-1)). Let a = y + 420. Do a and 0 have the same value? False Let q = 2/110431 - -1048321427/3092068. Let f = q - 339. Suppose -4*g = -0*g. Is g at most f? True Suppose 0 = -3*i + 5 + 1. Suppose i*b = -4*z - 2*b - 28, -1 = z - b. Let p be ((z/3)/4)/1. Which is greater: p or 3/4? 3/4 Let a = -2.5 + -0.7. Let q = a + -13.8. Let s = 27 + q. Which is greater: -0.1 or s? s Let h be (-33 - 0)*3*(-1880)/585. Let s = h + -318. Let k be 1/(-1 + 2 + 0). Is s > k? False Suppose -362 = -5*d - p + 233, 2*d - 225 = -3*p. Let o be 4/(-5) + 6/d. Let y be 0/((2 + -1)/(-1)). Which is greater: o or y? y Let s = 19/14 - 11/14. Let l = s + -1/14. Is l less than or equal to -2? False Suppose 5*p + q = -10, -5*q + 10 = 4*p + p. Suppose 2*y + 5 = 3*l - 3, 0 = -5*l - 20. Let h be y/(-56) + p/12. Are 0 and h nonequal? True Let g = 2338 + -2337.8. Is -14/17 not equal to g? True Let h be 15/35*-1 + 150/546. Let r = 1 - 1.5. Is h > r? True Let l = 25 - 14. Let g = l - 10. Let u(a) = -a. Let m be u(g). Which is greater: 0 or m? 0 Let k = -157 + 158. Which is smaller: -10/61 or k? -10/61 Let h = -17/2 - -113/14. Let o be 329/564 + (-5)/4. Which is smaller: o or h? o Suppose 3*u - 1934 = 2974. Let y = 4798/3 - u. Let l = y + 38. Is 0.1 > l? False Suppose -8 = -2*s, 11*c + 0*s = 4*s + 919. Which is greater: 81 or c? c Let g be (5 - 3) + (-6316)/4540. Let z = -2/227 + g. Do 0 and z have different values? True Suppose 3*a - q - 7 + 1 = 0, 0 = -2*a - q + 4. Suppose a*o = -2 - 2. Let b be o + 5/(10/16). Is b <= 6? True Let u be (-925)/(-148) + (-6 - -1) - 1. Are 0 and u non-equal? True Let y = 2.74 + 4.48. Let a = 0.22 - y. Let p = a + 6.8. Is p bigger than 3? False Let y(q) = -3*q + 72 - 79 + 7*q + q. Let w be y(8). Which is greater: 32 or w? w Let w = -36 + 56. Let x be (-16)/w - (-22)/(-10). Is x >= -9? True Let u be 5/((-210)/158) + 3. Let b = u - -107/168. Let c = -5/24 + b. Is c equal to 1? False Let v = 451 - 457. Is 1 less than v? False Let a = -107.41 - 4.59. Is a bigger than -0.1? False Let v(f) = -f**3. Let l(h) = 3*h**3 - 6*h**2 - 2*h + 6. Let i(r) = l(r) + 2*v(r). Let n be i(6). Let o be n/(-45)*18/4. Is o at most as big as 0? False Suppose 2 = 2*y - 2. Suppose -5*w - 2*h = y*h + 74, -2*w + 2*h - 44 = 0. Let s be 7/(-9) + 4/w. Is s at most as big as -3/2? False Let s(u) = u**2 + 23. Let x be s(5). Let b = -68 - -117. Do b and x have different values? True Suppose -55 = -5*b + 30. Let g(y) = 4*y**2 + 51*y - 43. Let s(q) = q**2 + 17*q - 14. Let p(l) = -2*g(l) + 7*s(l). Let o be p(15). Which is smaller: b or o? b Let o = -16 - -14.2. Let y = o - -2. Let p = y - 0.3. Is p equal to -13/5? False
{ "pile_set_name": "DM Mathematics" }
at is i(v)? 6 Let m(b) = -b + 1. Let v be (-15)/5 + 12/(12/4). Calculate m(v). 0 Let o(n) = -16*n**2 - 45*n + 102. Let i(y) = -3*y**2 - 9*y + 20. Let s(d) = -11*i(d) + 2*o(d). Calculate s(-10). -6 Let n(j) = -6*j + 45. Let b be n(6). Let r(g) = g**3 - 10*g**2 + 9*g + 4. What is r(b)? 4 Suppose -2*l + 5 = 2*r - 1, 4*l + 6 = 2*r. Let q(u) = -r*u + u - 3 + 3*u. Let p(g) = g + 1. Let d be p(4). What is q(d)? 2 Let m = -16 + 28. Let d = -8 + m. Let t(f) = f**2 - 2. Let u(q) = -8*q**2 + 4*q + 14. Let v(s) = 7*t(s) + u(s). Give v(d). 0 Let v(p) be the third derivative of 5*p**4/8 - 526*p**2 + 1. Calculate v(2). 30 Let m(n) = 3*n - 4 + 5*n**2 + n - n**3 - n - 3*n - n. Calculate m(3). 11 Let n(u) = -6*u + 1 - 5 + 4*u. Let f(r) = 5*r + 9. Let h(m) = -6*f(m) - 13*n(m). Determine h(2). -10 Let i(b) = -5*b**3 + 2*b**2 - 3*b + 8. Let m(y) = y**3 - y**2 + y - 1. Let t(l) = -i(l) - 6*m(l). Suppose -6452 = 4*u - 6464. Determine t(u). -2 Let q(v) = -6*v - v**3 + 22*v - 5 - 14*v**2 + 22. Calculate q(-15). 2 Let k(i) = i**2 - 20*i - 20. Let p be k(21). Let c(z) = -z**3 + z - 2. Give c(p). -2 Let d(u) = 6*u**2 - 1 + u - 16*u**2 + 11*u**2 - u**3. Let b be (-3)/1*2/(-6). Determine d(b). 0 Let u(y) be the third derivative of 4*y**2 + 1/6*y**3 + 5/24*y**4 + 1/120*y**5 + 0 + 0*y. Let k(d) be the first derivative of u(d). Determine k(-6). -1 Let i(x) = -11*x**3 + 5*x**2 + 20*x - 41. Let r(y) = -5*y**3 + 3*y**2 + 10*y - 20. Let w(g) = -4*i(g) + 9*r(g). Let z be w(8). Let d(u) = -u**3 + 29. Give d(z). 29 Suppose -3 + 30 = -9*z. Let x(h) = -h**3 - 4*h**2 - 5*h - 4. Calculate x(z). 2 Let y be (-8)/12 + 1 + (-28)/12. Let m(w) = 2*w + 2. Give m(y). -2 Let p be (-72)/66 + (-252)/132. Let h(c) = 1 + 0 + c + 1. Give h(p). -1 Let b = 19 + -30. Let r be (2/(-6) - 1)*33/b. Let v(w) = -3*w + 6. Determine v(r). -6 Suppose 3*u - 2 = -y, 2*y + 10 - 4 = -u. Suppose 18 = 5*c - u*c. Let m(g) = g**3 - 7*g**2 + 9*g - 8. What is m(c)? 10 Let m(z) = 6*z**2 - 5*z - 4. Suppose 3 = 4*o - 1. Let u(i) = i + 1. Let k(c) = o*m(c) + 5*u(c). Let l be k(1). Let w(t) = t**2 - 9*t + 10. Determine w(l). -4 Let v(s) be the third derivative of -s**6/120 - s**5/15 - s**4/24 + 2*s**3/3 - 103*s**2. Determine v(-4). 8 Let c = -26 - -28. Let v(b) = -2*b + b**2 - 33*b**3 + 1 + 2*b**c + 32*b**3. Give v(3). -5 Let f(y) = -y**3 + 10*y**2 - 10*y + 1. Let j be f(9). Let b(n) = n**2 + 5*n - 5. Determine b(j). 19 Let m(h) = -128*h + 4 + 256*h - 123*h. Calculate m(-4). -16 Let k(m) = -22*m - 4. Let n(l) = 7*l - 4*l - 11*l - 1. Let c(o) = 3*k(o) - 8*n(o). Give c(-3). 2 Let w be ((-51)/(-153))/(-1 - 20/(-21)). Let t(v) = -v**3 - 7*v**2 - v - 10. Give t(w). -3 Let i(a) be the first derivative of 11*a**2/2 - a - 6. Let g be 8/4 - 3/(2/2). Give i(g). -12 Let b(h) be the second derivative of -1/20*h**5 - 5/12*h**4 + 0 + 5*h - 1/2*h**2 - 1/6*h**3. Let q be b(-5). Let u(d) = -d**2 + 4*d - 4. Calculate u(q). -4 Let b = 0 + 3. Let a(i) = -9*i**2 - 3*i + 4 - 3*i - i**b + 7. Let d be a(-8). Let h(q) = -q**2 - 2*q + 7. Calculate h(d). -8 Suppose t - 16 = -5*m, -2 = -4*t - t + m. Let b(k) = -k. Determine b(t). -1 Let u(z) be the first derivative of z**3/3 - 2*z**2 - 4*z - 173. Determine u(4). -4 Let t(k) = 4*k**3 + 2*k**2 - 10*k + 5. Let x(f) = 5*f**3 + f**2 - 11*f + 6. Let s be (-2)/((-6)/(-17)) + (-4)/(-6). Let q(u) = s*x(u) + 6*t(u). Determine q(6). 6 Suppose 18*a - 14 = 4*a. Let o(n) = 6*n**3 + n**2 - n. Give o(a). 6 Let v(n) = 2*n**2 + 4*n - 7. Let k be v(-4). Let f(m) = 0 - 6 + 0*m + m - 7. Calculate f(k). -4 Let f(i) = -i**2 + 8*i + 4. Let l = -258 + 266. What is f(l)? 4 Let v(w) be the second derivative of w**6/120 + w**4/24 - w**3/2 + w**2 - 7*w. Let j(a) be the first derivative of v(a). Determine j(0). -3 Let s(l) = l + 7. Let a(n) = -n**3 - 7*n**2 - 9*n - 10. Let f be a(-6). Let g be (-2)/f + 403/(-52). Give s(g). -1 Let t(b) be the first derivative of b**3/3 - 3*b**2 + 8*b - 79. What is t(7)? 15 Let p(t) = 38*t + 8. Let r(l) = 31*l + 7. Let j(z) = 5*p(z) - 6*r(z). Give j(2). 6 Suppose -3*p + 3*j + 6 = 0, p + 7 = 4*j + 21. Let d(c) be the second derivative of 5/6*c**3 - 1/2*c**2 - 2*c + 0. Determine d(p). -11 Let x(w) = -2*w**2 - 6*w - 5. Let l(k) = -37 - 17 - 5*k**2 - 17*k + 40. Let v(n) = 6*l(n) - 17*x(n). Determine v(1). 5 Let u = 2 + -2. Let m(i) be the first derivative of -i**2/2 + 11*i - 134. What is m(u)? 11 Let s(r) be the second derivative of -r**3/2 + 4*r**2 + 37*r. What is s(-6)? 26 Suppose -9*h = 2*h - 33. Let k(c) = -c**3 + 3*c**2 + 2*c + 1. Determine k(h). 7 Let o be 353/2 - 3/6*3. Let p(v) = -o*v**2 - 6 - 7*v + 85*v**2 + 89*v**2. Determine p(-4). 6 Let j(c) be the second derivative of 2*c**3/3 - 31*c**2/2 - 135*c - 3. Give j(9). 5 Let y(f) = 7*f**2 + f - 12. Suppose 0 = -4*l + 29 - 5. Let c(x) = 6*x**2 + 2*x - 12. Let u(k) = l*c(k) - 5*y(k). Give u(-9). 6 Let p(f) = 6*f**3 - 4*f**2 - f + 5. Let c(j) = j**3 + 1. Let d(x) = -2*x**3 + x**2 - 1. Let m(h) = c(h) + d(h). Let u(l) = 5*m(l) + p(l). Calculate u(0). 5 Suppose 179 = 20*a + 59. Let v(h) = h**2 - 7*h - 3. Let t(m) = m - 1. Let o(i) = 3*t(i) + v(i). Determine o(a). 6 Let k(c) be the first derivative of 5*c**3/3 + 18*c**2 + 8*c - 84. Determine k(-7). 1 Let t(x) = -x**3 - x**2 + 2*x - 4. Suppose 0 + 27 = 9*j. Suppose 4*v + 22 = -2*g, -j*g - 27 = -3*v + 7*v. Give t(v). 8 Let k(p) be the third derivative of p**6/120 - 13*p**5/60 - 13*p**4/24 - p**3/6 - 198*p**2. Determine k(14). 13 Let j be -10*-3*1/6. Let p(h) = -3*h**3 + 7*h**2 + 2*h - 9. Let f(y) = -2*y**3 - 4*y**2 + 3*y**2 - 2 + 3*y**3 + 3. Let r(o) = 2*f(o) + p(o). Determine r(j). 3 Suppose 24*o + 56 = 32*o. Let z(j) = j**2 - 7*j - 1. Give z(o). -1 Suppose t - 4*t = 6. Let n(m) = 1 + 0*m + 3*m - 6*m + 2*m. Give n(t). 3 Let v(g) = -g**2 + g - 1. Suppose 10*m = 56 + 64. Suppose 15*y - 9 = m*y. What is v(y)? -7 Let v(m) = -m + 3. Let u = 5 - 4. Let k(g) = -2*g - 2*g + 1 - g. Let f be k(u). What is v(f)? 7 Let y be (-4)/(-2)*-1 + 24. Let m(o) = 3*o - y + 36 - 20. Give m(5). 9 Let n(u) be the first derivative of u**4/4 - 4*u**3/3 - 3*u**2/2 + u + 71. Let s = 2 + 2. Give n(s). -11 Let j be (14*(-3)/18)/((-6)/18). Let d(o) = o - 4. Determine d(j). 3 Let d(l) be the second derivative of -l**5/20 - 7*l**4/12 + 5*l**3/3 + 10*l**2 - 625*l - 2. Give d(-8). 4 Let i(d) = 50*d + 8. Let h(p) = -39*p - 8. Let y(k) = -4*h(k) - 3*i(k). Determine y(5). 38 Let y = -46 - -76. Let m(n) = 15*n + 2. Let t be m(-2). Let j = y + t. Let b(l) = -l**3 + 3*l**2 - 3*l + 3. Determine b(j). 1 Let n(y) = 2*y**3 + 4*y**2 + y + 2. Let b(f) = f**3 + 41*f**2 - 41*f + 39. Let a be b(-42). Determine n(a). -19 Let b(w) = -w**2 - 6*w - 6. Suppose -2*q - 2 = -r, 9*r - 4*q - 34 = 12*r. What is b(r)? -6 Let n(u) be the third derivative of 23*u**4/24 + u**3/6 + 28*u**2. Determine n(-1). -22 Let m(t) be the third derivative of -t**6/120 + t**5/10 - t**3/2 + t**2. Let b(k) = -k**3 - 3*k**2 - 44. Let x be b(-5). Calculate m(x). -3 Let t be -32 - 7/((-7)/(-2)). Let n = -33 - t. Let x(q) be the second derivative of -2*q**5/5 - q**3/6 + q**2/2 + q. Calculate x(n). -8 Let c(p) = -18*p - 16*p + 38*p + 5. Give c(4). 21 Let s = -16 - -26. Let x(c) = s*c - 5*c - 6 - 2*c - 4*c. Calculate x(-5). -1 Let y(r) = -r**3 - 5*r**2 - 7*r - 2. Let m(f) = -13*f + 255. Let w be m(20). What is y(w)? 33 Let j(c) = c - 3. Let n be j(11). Let z be 185/60*-3 + 2/n. Let i(q) = -q - 9. Determine i(z). 0 Let n(y) = y - 6. Suppose 5*t + 3*c - 18 = 39, 5*c - 65 = -5*t. Let l be (6/5)/((-14)/(-35)). Suppose 33 - t = l*h. Determine n(h). 2 Let g(x) = -x**2 + 2. Let p be 2/6*(-54)/6. Let f be (4 - 1)*-3 + p. Let z be 8/(-6) - (-8)/f. Give g(z). -2 Let m(y) = 5*y + 6. Let k(x) = 3*x + 1. Let b(f) = f. Let n(q) = -2*b(q) + k(q). Let u(t) = -m(t) + 6*n(t). Determine u(-3). -3 Let l(b) = -14*b - 1. Let p(a) = 2*a**2 + 2*a - 11. Let v(y) = y - 20. Let k be v(17). Let z be p(k). What is l(z)? -15 Let p(x) = -x**2 + 9*x + 9. Let c(w) = -w - 1. Let f(h) = -6*c(h) - p(h). Suppose -111*s = -287 - 268. What is f(s)? 7 Let g(n) = -2*n - 2. Let h(k) = k**3 + 3*k**2 - 5*k + 16. Let a be h(-5). Determine g(a). 16 Let o(a) = 8*a - 40. Let d(u) = 7*u - 33. Let t(y) = -5*d(y) + 4*o(y). Give t(5). -10 Let x(t) be the second derivative of -t**5/20 - 5*t**4/12 - t**3/6 - 7*t**2/2 - 2*t - 177. Give x(-5)
{ "pile_set_name": "DM Mathematics" }
= -4*c - x + 7, 0 = 2*c - i*x - 7. Let p = 0.9 + -1.4. Put c, p, -0.1 in decreasing order. c, -0.1, p Let s = -112 + 110. Let b = -6 - s. Sort 3, b, -1. b, -1, 3 Suppose 57 = 15*j - 18. Sort -0.3, -4, 66, j. -4, -0.3, j, 66 Let g = -5.81 + 0.31. Let c = g - -29.5. Sort c, -0.3, 5. -0.3, 5, c Let g = -189 - -192. Let t = -10 - -5. Sort 5, t, g, 2 in decreasing order. 5, g, 2, t Let f be (-3)/4*(-30 + 34). Let j = f + 1. Put -1, -3, j, 4 in decreasing order. 4, -1, j, -3 Suppose -8*a = -0*a - 32. Suppose -2*m + p + a = 0, -m - 2*m - 3*p + 15 = 0. Sort 4, -1, m in decreasing order. 4, m, -1 Let c = -335 + 336. Sort c, 0.1, 3/4. 0.1, 3/4, c Let h be 0 - (-350)/(-49) - (-3 + -3). Sort h, 1/3, 0.2, -3/7. h, -3/7, 0.2, 1/3 Let i be 3/6 + (-1)/2. Let h be (-2)/(-4) + 7/(-2). Suppose -2*m = 2 + 2. Put h, i, m in increasing order. h, m, i Let d(i) = i + 2. Let m be d(-2). Let a be ((-3)/(-3) + m)/(-1). Let b = 233 + -2095/9. Sort b, a, -2/13 in ascending order. a, -2/13, b Let q be -14*(2 - ((-39)/(-6) - 2)). Let n = q - 36. Put 1, -12, -3, n in increasing order. -12, -3, n, 1 Suppose -q + 88 = -6*q - 4*i, -65 = 4*q + 5*i. Let g = q + 16. Sort g, 1, 2 in increasing order. g, 1, 2 Suppose -2*s - 14 = 4*p, -1 = 5*p + 24. Put -5, 1, s, 5 in ascending order. -5, 1, s, 5 Let c = 1 - 0. Let x = 2902 + -2906. Sort c, -1/5, 2/15, x. x, -1/5, 2/15, c Let z be (15/5)/(42/(-98)). Put -1, z, 11 in ascending order. z, -1, 11 Let u be 15/7*(-595)/(-1445). Put 0, u, 3 in increasing order. 0, u, 3 Let g(m) = -m**2 + 3*m + 4. Let c be g(-2). Sort -3, 3, 5, c in increasing order. c, -3, 3, 5 Let p = 978 + -1141. Put 4, p, 0.2, 0 in descending order. 4, 0.2, 0, p Let b = 0.49 + -0.19. Sort 0.4, b, -4 in descending order. 0.4, b, -4 Suppose 0 = -5*k - 5*i, 4*i + i + 20 = 5*k. Suppose 0 = -5*b - 25 - 30. Sort -2, b, k. b, -2, k Suppose -86*l = -80*l - 30. Sort l, 2, 3, -22 in increasing order. -22, 2, 3, l Suppose 16 = 108*o - 124*o. Put -3, -8, 0, o in decreasing order. 0, o, -3, -8 Let j = 0.001 + -0.891. Let n = -1.09 - j. Sort -1/4, -1/6, n, -3. -3, -1/4, n, -1/6 Suppose -3*d + 6 = -2*d + 3*n, -5*n = -3*d + 18. Put 9, 4, d in ascending order. 4, d, 9 Let y(c) = 4*c + 13. Let u be y(-4). Put 13, u, 4 in increasing order. u, 4, 13 Let a be ((-9)/((-486)/(-24)))/((-14)/63). Sort -2, a, -51. -51, -2, a Let g(j) = j**2 - 4. Let b be g(3). Suppose 19 = -5*z - 11. Let a be ((-1)/2)/(7/(-28)). Sort b, a, z in decreasing order. b, a, z Let f = -7 - -12. Let m = 109.825 - -0.175. Let c = m - 111. Put f, c, -4 in decreasing order. f, c, -4 Let y be 4/((-1)/3 - -1) - 3. Let h(k) = k**3 - 6*k - 4. Let v be h(y). Suppose -5*l - 6 - 4 = 0. Sort -1, l, v. l, -1, v Suppose -2*f + 5*s - 16 = 2*s, 0 = 5*f + 2*s + 2. Suppose 4*q - 5*l - 40 = 0, q + 7*l - 13 = 9*l. Sort q, 7, f in increasing order. f, q, 7 Let p = -14.9525 + -0.0475. Sort 0.2, 1, p, -3 in descending order. 1, 0.2, -3, p Let i = 5 + -9. Let u = -143.4 + 143. Sort i, u, 1/8, -0.1 in ascending order. i, u, -0.1, 1/8 Let v = 330 - 327. Put v, -3, 26/11, -3/5 in increasing order. -3, -3/5, 26/11, v Let q = -9 + 11. Let j be (-15)/(-36) - 171/228. Sort q, -0.5, -3, j. -3, -0.5, j, q Suppose 549*c = 547*c + 14. Put -7, -5, c in increasing order. -7, -5, c Let t(h) = -h**3 - 14*h**2 + 7. Let r be t(-14). Suppose 0*z - r = -7*z. Sort -8, z, 0 in descending order. z, 0, -8 Let c = -56 - -55. Sort 5, -144, c in decreasing order. 5, c, -144 Let o(n) = -n**2 - 4*n - 1. Let p be o(-2). Suppose p*g + 15 = 6*g. Suppose 2*j + 4 = -0*j. Sort g, 2, j in decreasing order. g, 2, j Let u = 736.5 + -745. Put 2/11, 5, u, -5 in ascending order. u, -5, 2/11, 5 Suppose y - 3*y = 4*w - 4, -3*y - 9 = w. Suppose 52 = 26*p - 0*p. Suppose 3*x - 8*a = -4*a + 12, 5*a = -x - 15. Put p, x, w in increasing order. x, p, w Let f be 2/8 - (-3)/((-36)/39). Sort f, 161, -2. f, -2, 161 Let g = 583.33 + -581. Let t = g - -0.27. Let m = 2.1 - t. Put -2/3, -5, m in increasing order. -5, -2/3, m Suppose 15 = -6*r + 3*r + 5*a, 0 = -5*r - 4*a - 25. Let j = 55 - 55. Let x be j + (-2)/(-2)*8/(-2). Put x, r, 4 in ascending order. r, x, 4 Let z = 398 - 396. Put 0, z, -2, 108 in increasing order. -2, 0, z, 108 Let l = -953539/60 - -15894. Let p = 14233/20 - 712. Let m = l + p. Put m, -3/8, -2 in decreasing order. m, -3/8, -2 Let f = -5 + 0. Suppose 9*v = 7*v - 4. Put 2, v, f in descending order. 2, v, f Let t(g) = -g**2 - 5*g + 8. Let f be t(-6). Let z be 0/(8*1/(-2)). Sort -5, z, f in increasing order. -5, z, f Suppose -8*l + 6*l = 0. Suppose 4*x + 0*x + 8 = a, l = x + 3. Let m be a + 3 - -3 - 6. Put -8, m, 3 in decreasing order. 3, m, -8 Let k = -111 - -110.6. Sort 10/17, k, 3 in descending order. 3, 10/17, k Let z(g) = g + 7. Let a be z(-3). Suppose 2*b - a*h - 1 = -15, -b - 4 = h. Sort 6, b, 4. b, 4, 6 Let v = -163 + 168.62. Let f = v - 0.62. Put 3, f, 1/3 in increasing order. 1/3, 3, f Let b be (-1)/(-8)*42/14. Let c be 2 + (1 - 3) - -2. Let r be c/1 + (-3)/2. Sort r, b, -3/7 in increasing order. -3/7, b, r Let c be (1 + -6)*(-18)/(-10). Let o be (-2 + c/(-6))*4. Let v(d) = -d**2 + d - 1. Let b be v(3). Put o, -4, b in decreasing order. o, -4, b Suppose 9 = -6*x + 45. Put 2, -15, x in increasing order. -15, 2, x Let z be 2/(-2)*4 + -2. Let m be ((-8)/z)/(1/(-3)). Put -2, m, -5, 2 in increasing order. -5, m, -2, 2 Let s(i) = -i**2 - 9*i + 13. Let o be s(-10). Suppose -o*y = 3 - 6. Suppose 0 = -l - 1 - y. Put 4, l, 0 in decreasing order. 4, 0, l Let s be ((-1)/(-1))/(-11 + 12). Suppose 7 = a + 4*o, -4*a = 5*o - s - 5. Let i(z) = z**3 + 3*z**2 - 5*z - 1. Let j be i(-4). Put 1, j, a in decreasing order. j, 1, a Let u = 1934 - 1939. Sort -59, -1, u in descending order. -1, u, -59 Let d = 153 + -152.7. Put 0.5, 4, d, 2 in decreasing order. 4, 2, 0.5, d Let w = 1293/7 - 185. Let u = 256 + -256. Let z be (-1)/4*(-216)/90. Sort w, u, z in descending order. z, u, w Let f(v) = v**2 - 14*v - 9. Let q be f(15). Suppose 3*t + q = 4*k + 39, k = 2*t - 12. Let l = k + 4. Put -1, 2, l in descending order. 2, -1, l Let n = 51.5 + -49.462. Let m = 0.038 - n. Sort 2/11, m, -0.2, 0.4 in decreasing order. 0.4, 2/11, -0.2, m Suppose 5*d - 10 = 0, 2*d - 14 = 4*f - d. Sort -5, 7, f in ascending order. -5, f, 7 Let x = -2223 + 2222.9. Let h = 6 + -11. Put 0.22, h, x in decreasing order. 0.22, x, h Let m = -80 - -79.05. Let z = m + 14.95. Put 1, z, 2, 1/4 in decreasing order. z, 2, 1, 1/4 Suppose -29*o + 28 = -15*o. Let s(u) = u**2 - 5*u - 3. Let y be s(6). Suppose y = -j + 2*j. Put -5, j, o in increasing order. -5, o, j Let k(d) = d**2 - 9*d + 14. Let v be k(4). Sort 7, v, 0 in decreasing order. 7, 0, v Let k = -839/87 + 270/29. Sort k, 0.3, -1.09. -1.09, k, 0.3 Let f(r) be the first derivative of -r**2 + 18*r + 8. Let l be f(5). Put -1, l, 2 in decreasing order. l, 2, -1 Let a = 22 - 21.975. Let w = a + 0.475. Sort -4, 3, 0.3, w in descending order. 3, w, 0.3, -4 Let t = 0.121 + 0.379. Let u = -63.96 - -61. Let f = -0.04 + u. Sort -1, f, t. f, -1, t Let z be (-2)/15 + (-6580)/150. Put 0.1, z, 3/7, 1 in descending order. 1, 3/7, 0.1, z Let k(o) = 2*o**2 - o - 17. Let f be k(3). Sort 1, -1, -5, f. -5, f, -1, 1 Let y = 1430 + -1433. Put -5, 17, y, -7 in descending order. 17, y, -5, -7 Suppose 5*b + 462 = 3*b. Let v = -2539/11 - b. Let s be (-9)/8*(-2)/(-3). Sort 1/4, s, v in decreasing order. 1/4, v, s Suppose -3*b + 3 = -6*b, 0 = 3*z - 4*b - 13. Let c be (-8)/(-20) + z/(-5)*-1. Put 2, c, 7 in ascending order. c, 2, 7 Let w = 125 + -123. Suppose -8*p + 4*p = -28. Let l = p + -12. Put 3, l, w in decreasing order. 3, w, l Let l(q) = -2*q**2 + 29*q + 13. Let c be l(15). Let n be 1 + (2/(-1) + c)/(-2). Put 2/5, n, -2/15, -0.1 in descending order. n, 2/5, -0.1, -2/15 Let b(x) = 4*x**2 + 1. Let v be b(-1). Let d(s) = -s**2 - s + 21. Let r be d(-5). Put r, -2, 0, v in ascending order. -2, 0, r, v Suppose 4*d - 3*p = -5, -5*d + 6*p - 3*p - 10 = 0. Let a = -7 - d. Let h be (-4)/(a + 0/(-2)). Put 4, -5, h in decreasing order. 4, h, -5 Let c = 41 - 29. Let y be 26/28 + (-6)/c. Sort 2, 9, y in ascending order. y, 2, 9 Let s = -188 + 188.2. Let t = -2 + 4. Let j be t/(2/(3 - 1)). Sort -0.4, s, j in ascending order. -0.4, s, j Let a = -7 - -14. Let s(u) = -u**3 - u**2 - 3*u - 5. Let d be s(-2). Put a, d, 2 in
{ "pile_set_name": "DM Mathematics" }
ivative of -2 + p - 4*k - k + 1 wrt k. -5 What is the second derivative of -280*u**3 - 9 + 8 + 12*u - 247*u**3 + 144*u**3 - 13 wrt u? -2298*u Let r(p) = -929*p**3 - 545*p + 10. Let d(w) = 1394*w**3 + 818*w - 16. Let z(f) = -5*d(f) - 8*r(f). Find the second derivative of z(k) wrt k. 2772*k Suppose 5*j = 4*j + 3. Let l(o) = -2 - 2*o + 2*o + o - j. Let t(c) = -5. Let i(h) = 3*l(h) - 4*t(h). What is the first derivative of i(n) wrt n? 3 Suppose -5*h = -2*j - 2*h - 8, 3*j + 4*h = 22. Find the third derivative of 3*d**2 + 5*d**3 + j*d**3 - 10*d**2 wrt d. 42 Let c(h) be the third derivative of -85*h**4/8 - 25*h**3/2 + 21*h**2 + 2. What is the derivative of c(k) wrt k? -255 Suppose -2*o - 4*i + 426 = 0, o = 3*i + 204 - 1. What is the second derivative of 0 + 199*x**3 + 0 - 14*x - o*x**3 wrt x? -60*x Let k(g) = 151*g**3 - g**2 - 642. Let n(t) = -50*t**3 + 214. Let y(a) = 3*k(a) + 8*n(a). Differentiate y(z) wrt z. 159*z**2 - 6*z Let h(b) be the second derivative of 13*b**5/4 + b**4/6 - 84*b**2 - 193*b. Find the first derivative of h(y) wrt y. 195*y**2 + 4*y Let f(s) be the third derivative of 0 + 0*s**5 - 11*s**2 - 1/10*s**6 + 0*s**4 - 19/6*s**3 + 0*s. What is the first derivative of f(o) wrt o? -36*o**2 Let s(p) be the third derivative of 107*p**7/105 - p**5/60 - 17*p**3/6 + 3*p**2 - 3. Find the third derivative of s(j) wrt j. 5136*j Let w(t) be the second derivative of -t**6/15 + 219*t**5/10 - 71*t**3/2 + t + 13. Find the second derivative of w(k) wrt k. -24*k**2 + 2628*k Let g(k) = -k**4 - k**3 + k**2. Let h(w) = 213*w**4 + 18*w**3 - 18*w**2 + 33*w. Let o(l) = 18*g(l) + h(l). What is the second derivative of o(i) wrt i? 2340*i**2 Let c(b) be the third derivative of -b**6/40 + 7*b**5/60 - 3*b**4/8 - b**3/2 + 33*b**2. What is the second derivative of c(w) wrt w? -18*w + 14 Suppose -18*m + 13*m + 60 = 0. What is the second derivative of 10*w + 0*w + m*w**2 - 5*w wrt w? 24 Find the second derivative of -8*c**3 - 17*c - 81 + 6*c**5 + 19 + 23*c**3 + 15*c wrt c. 120*c**3 + 90*c Let a(w) = -4*w**5 - 417*w**3 - 3*w**2 - 64*w - 6. Let h(x) = 2*x**5 + x**2 - x + 2. Let p(m) = -a(m) - 3*h(m). Find the second derivative of p(k) wrt k. -40*k**3 + 2502*k Let k = -225 + 676/3. Let a(l) be the second derivative of -k*l**3 + 0 - 4*l - 5/2*l**2. Differentiate a(u) wrt u. -2 What is the second derivative of 98*u**3 + 84*u + 137*u**3 + 105*u**3 + 227*u**3 + 211*u wrt u? 3402*u Let u(n) = -73*n**2 - 5*n + 85*n**2 + 2 + 50. Let b(t) = -6*t**2 + 2*t - 26. Let p(c) = 5*b(c) + 2*u(c). Differentiate p(v) with respect to v. -12*v Let o(f) = -6*f**2 + 14*f. Let s(m) = -12*m**2 + 23*m + 24*m - 18*m. Let p(j) = -7*o(j) + 3*s(j). What is the second derivative of p(k) wrt k? 12 Let w(m) be the second derivative of -m**8/840 + m**6/24 + 11*m**4/6 + 7*m. Let h(t) be the third derivative of w(t). Find the second derivative of h(g) wrt g. -48*g Let z(n) be the first derivative of 108*n**5 - 540*n - 255. What is the derivative of z(t) wrt t? 2160*t**3 Differentiate -34 + 38 - 25*k + 74*k - 123 wrt k. 49 Let j(c) = -61*c + 69. Let r(p) = -121*p + 138. Let i(h) = -11*j(h) + 6*r(h). Differentiate i(y) wrt y. -55 Let p(k) = 4*k - 3. Let a be p(2). Suppose 4*u + 20 = 5*w, -u = -0*u + a. What is the second derivative of -7*r**3 + 2*r**3 + w*r**3 - 5*r + r**3 wrt r? -24*r What is the third derivative of 18*y**2 - 3 - 13*y - 2*y**3 + 43*y**4 + 3 + 12*y wrt y? 1032*y - 12 Let d(h) = h**3 + 10*h**2 - 23*h + 15. Let a be d(-12). What is the third derivative of 16*n**3 + 22*n**4 - 36*n**a - 21*n**2 + 20*n**3 wrt n? 528*n Let o(y) be the second derivative of 13*y**6/120 + y**5/4 + 11*y**2/2 + 13*y. Let w(b) be the first derivative of o(b). Find the third derivative of w(z) wrt z. 78 Suppose 3*d + 5*o + 6 = 0, -6*o = 4*d - o + 3. Find the second derivative of -6*v - v + d*v + 5*v - 10*v**2 wrt v. -20 Let x be (-7)/(-5) + 6/10. Suppose -x*j = 5*h - 15, 0 = -j + 3*j. What is the third derivative of -9*t**2 + 6*t**2 + t**2 + 8*t**2 - t**h wrt t? -6 Find the third derivative of 3*n**6 + n**6 + 2*n**6 + 123*n**2 - 9*n**6 + 27*n**3 wrt n. -360*n**3 + 162 What is the second derivative of -37*j + 91*j - 111*j**3 + 79*j - 23*j wrt j? -666*j Let d = -11 - -17. Let o = -43 - -43. Find the third derivative of -4*x**2 + o*x**5 + 12*x**5 + d*x**2 wrt x. 720*x**2 Find the third derivative of -691*g**2 - 39*g**4 + 3*g**5 - 84*g**4 + 2*g**5 - 114*g**2 - 3*g**5 wrt g. 120*g**2 - 2952*g Let q(j) = 3*j - 3. Let b(r) = r + 1. Let o(y) = -2*b(y) + q(y). Let k be o(10). What is the first derivative of -1 - 5*d**4 - 7 - 2*d**4 + k*d**4 wrt d? -8*d**3 Suppose 3*k - 5 - 4 = 0, 2*k - 12 = 3*n. Let l be n/(-1*6/9). What is the second derivative of -24*q - l*q**2 + 30*q + 10*q**2 wrt q? 14 Let d be 4 - 6/9*3. Find the second derivative of -7*g**2 + 7*g - 15*g**2 + 32*g**2 - 13*g**d wrt g. -6 What is the second derivative of 64684*o**2 - 73*o - 64684*o**2 + 119*o**3 - 2 wrt o? 714*o Let x(y) be the second derivative of -y**8/140 - y**4/3 - 11*y**3/6 - 13*y. Let m(g) be the second derivative of x(g). Differentiate m(d) with respect to d. -48*d**3 Find the third derivative of 2*w**4 + 33*w**2 + 5*w + 13*w - 18*w - 10*w**5 wrt w. -600*w**2 + 48*w What is the second derivative of -7 + 5 + 6 - 31*k - 25*k + 28*k - 134*k**2 wrt k? -268 Let u(n) be the third derivative of -2*n**9/63 + n**6/24 - n**5/30 - 329*n**3/6 + 307*n**2. What is the third derivative of u(t) wrt t? -1920*t**3 + 30 Suppose -32 = -2*x + 18. What is the derivative of -10 - 2 - 22*j + x wrt j? -22 Let r = -199 - -203. Let j = -6 - -10. Find the first derivative of -y**3 + r + 2*y**3 + 4*y**2 - j*y**2 wrt y. 3*y**2 Let x(r) = 122*r**3 + 3*r + 133. Let g(a) = 244*a**3 + 5*a + 266. Let q(o) = 3*g(o) - 5*x(o). What is the first derivative of q(c) wrt c? 366*c**2 Let k be (1/2)/((507/130)/39). Let d(o) be the first derivative of -7 + 0*o - 5/2*o**2 + 0*o**4 + 0*o**3 + 2/5*o**k. Find the second derivative of d(u) wrt u. 24*u**2 Suppose 4*t = 6*x - 3*x - 22, -x = 3*t - 3. Find the third derivative of -5*m**x + 53*m**5 - 53*m**5 + m**2 - 7*m**6 wrt m. -1440*m**3 Let u(j) be the first derivative of -j**5 + 55*j**3/3 - 33*j**2/2 + 4*j - 403. Find the second derivative of u(w) wrt w. -60*w**2 + 110 Suppose -4*g + 3*b = -3*g - 22, -4*b = 16. Find the first derivative of -10 - 4 + g*r**2 + 4 - 8 wrt r. 20*r Let y(h) be the third derivative of 0*h**5 + 5/24*h**4 + 0*h**3 + 7/24*h**6 + 0*h - 4*h**2 + 0. Find the second derivative of y(a) wrt a. 210*a Let v(s) be the third derivative of -5*s**8/28 - s**6/60 + 109*s**4/24 - 51*s**2. Find the second derivative of v(q) wrt q. -1200*q**3 - 12*q Let t be 6*(-2)/12 + (-15)/(-9). Let v(q) be the first derivative of t*q**3 + 0*q**2 - q - 5. Differentiate v(d) wrt d. 4*d Differentiate -19*r**3 + 855*r - 12*r**3 - 854*r - 85 + 6*r**3 wrt r. -75*r**2 + 1 Let l(j) be the first derivative of 0*j**2 - 14*j - 16 + 0*j**4 + 0*j**3 - 12/5*j**5. What is the derivative of l(c) wrt c? -48*c**3 Suppose -15 = i - 5*n, -2*i + 5*n + 6 - 16 = 0. Find the third derivative of -43*g**i - 110*g**2 - 168*g**2 + 326*g**2 wrt g. -2580*g**2 Let f(y) = 132*y**3 - 3*y**2 + 6*y + 107. Let m(t) = -265*t**3 + 5*t**2 - 10*t - 214. Let a(r) = -5*f(r) - 3*m(r). What is the first derivative of a(x) wrt x? 405*x**2 What is the third derivative of -861*h**6 + 0*h**4 + 4*h + 3*h**2 - 8*h - 2*h + h**4 + 844*h**6 wrt h? -2040*h**3 + 24*h Let r = -5 - -96. Differentiate 46*y + 50 + r - 107 wrt y. 46 Let x(t) be the first derivative of 513*t**5/5 + 45*t**2/2 + 4*t + 173. Find the second derivative of x(s) wrt s. 6156*s**2 What is the second derivative of -55*p + 20*p + 22*p**5 + p**4 + 29*p - 1 - 2*p**4 + 8*p**5 wrt p? 600*p**3 - 12*p**2 Let q(f) = 3*f**2 + 6*f - 42. Let m be (-3 + 2)*3 - -9. Let i(h) = 2*h**2 + 7*h - 41. Let r(b) = m*q(b) - 5*i(b). Find the first derivative of r(p) wrt p. 16*p + 1 Suppose -1 = -3*k - 7. Let y = k + 4. Find the third derivative of -6*m**y + 0*m**2 + 2*m**2 - 8*m**6 + 0*m**2 wrt m. -960*m**3 Let o(p) = -5*p**3 - 3*p - 10. Let y(k) = -4*k**3 - 2*k - 11. Let h = 43 - 40. Let t(c) = h*y(c) - 2*o(c). What is the first derivative of t(r) wrt r? -6*r**2 Let l(f) = 5*f**4 - 8*f**3 - 864*f + 1262. Let u(a) = -7*a**4 + 11*a**3 + 1152*a - 1683. Let r(w) =
{ "pile_set_name": "DM Mathematics" }
9. Let g be n(-15). Is d equal to g? False Let j = -18 + 14.8. Let k = j + 4. Let y = -83.9 - -84. Which is greater: k or y? k Let l be ((-83)/48 - 1/(-2)) + 2. Let v = -7/16 + l. Let b be (1 - 1)/((-2)/(-1)). Is b at least v? False Let u = 5.52 + -4.52. Is u smaller than -7/2? False Let x(m) = m**2 - 15*m + 26. Let z be x(13). Let c be (-3)/(-6)*z/(-4). Is c at least -9/7? True Let j = -7.79 + 9.49. Is 5 less than j? False Let r = 45 - 72. Let s be r/36 + (-171)/(-276). Which is smaller: 0 or s? s Suppose y - 4*a = 3, -8*y - 4 = -6*y + 2*a. Which is greater: 8/35 or y? 8/35 Let i = 3 - 1. Let j = 12.958 + 0.042. Is j less than i? False Let w(u) = -2*u**2 - 28*u + 31. Let f be w(-15). Suppose -10*j - f = 9. Which is greater: 1/250 or j? 1/250 Let d(h) = 83*h - 67. Let n be d(2). Is n > 301/3? False Let m = -715 + 714. Let g = 0.03 + -0.03. Let c = 0.2 - g. Is m at least c? False Let q = -1425 + 1425.518. Which is greater: q or -3? q Let o(a) = -a**2 - 13*a + 18. Let m be o(-14). Suppose -r = -m*t + r - 6, -3*t = 5*r - 15. Let w be (-4)/(-42)*-3 - t. Is w at least as big as -0.2? False Let t = -2287 + 2286.9. Is t < -836? False Let q be -153 + -3*(-40)/(-15). Which is greater: q or -158? -158 Let y(f) = f**3 - f**2 - 84. Let b be y(0). Let h = b + 230. Let p be h/12 + (-14)/84. Which is smaller: 11 or p? 11 Let g be 4/(-40) - (-121)/10. Let k be -11 + g + 19*(-2)/8. Is -4 at most as big as k? True Suppose 0 = -u - 3 + 8. Suppose -q + s + 23 = -2*s, u*q + 3*s - 79 = 0. Let b = 17 - q. Is b <= 4/5? True Let u = 3.88 - -0.12. Let z = u + -11. Are -1 and z unequal? True Suppose m = -4*l - 21, -2*l - 2*m + 8 = 26. Let j = l + 3. Let d be j/1*0/(-4). Which is bigger: -0.12 or d? d Let o = 17621236/37739 - 6070/13. Which is bigger: o or 0? o Let j = -0.68 + 46.58. Let g = j - 48. Let c = 2 + g. Do c and 3 have different values? True Suppose 10*n - 8*n = -88. Which is greater: n or -0.2? -0.2 Suppose -5*y + 58 = -62. Suppose -2*a = -5*u + 26, 5*u = -4 + y. Let o = 7 - 11. Which is bigger: o or a? a Suppose -8*g = -7*g - 30. Let a be g/9 + 6/9. Suppose 0 = a*y - 2*y - 4. Is y not equal to 2? False Let k be (-2)/(-2*2/(-30)). Let m be (k/(-11))/(2/4). Is 3 less than or equal to m? False Let z = 43 - 43. Suppose -5*x + 4 + 31 = z. Is 9 greater than x? True Let q = -1056 + 1177. Which is smaller: -2 or q? -2 Let f be -7*10/(-105) + -2. Is 33 equal to f? False Let y = -55 - -63. Suppose -j - j + y = 0. Let o = 1.97 - -0.03. Which is smaller: j or o? o Suppose -b - 3 + 8 = 0. Let g = -0.13 + 0.33. Which is bigger: b or g? b Suppose 10*t = 5*t + 20. Let l be 50/t*(-120)/(-50). Let a be 88/l + 2/3. Which is bigger: a or 3? a Suppose -4*w + 5*v - 86 + 288 = 0, 86 = 2*w + 5*v. Let o(l) = 2*l**2 - 4*l + 1. Let z be o(6). Is w at most z? True Suppose 4*h = -4*w + 1260, -2*h = 2*w + 3*w - 636. Which is greater: h or 314? 314 Let u be ((-24)/9)/(20/(-30)). Which is smaller: u or 2? 2 Let s = 27 - 1. Suppose -s = 4*k - 18. Which is smaller: k or -8/9? k Suppose -15 = 3*r - 8*r. Let s = -36 + 37. Is s at least as big as r? False Let v = 325/54 + -5/27. Which is smaller: v or 3/5? 3/5 Let l(f) = -f**3 + 4*f**2 - 4*f + 3. Let m be l(3). Suppose -4*a + 188 = 164. Let o be a/(-63)*3/(-8). Is o bigger than m? True Let t = -2.51 - -2.4. Let z = -0.36 - t. Which is greater: z or -1? z Let g = -5 + 9. Suppose -5*z - 18 + 7 = 2*f, z - 33 = g*f. Is -8 less than f? False Let m = 1/15212 + 29391/15713996. Let r = -2172/54749 + m. Let l(s) = s - 1. Let p be l(0). Which is bigger: r or p? r Let y be -7 + 11 - (-30)/3. Is -7 smaller than y? True Let c be 18/(-15) + (-1106)/(-805). Is c greater than 0? True Let q be 21/2*(-1 + -1). Let y = q + 27. Are 4 and y nonequal? True Suppose p + 2*b + 35 = 5*b, p + 2*b = -40. Let i = p - -39. Which is smaller: 15/8 or i? i Let v be 19/(-95) + -3 + 86/5. Let u = -2 - -4. Suppose -u*o + 31 = -0*l - l, -35 = -2*o + 5*l. Which is bigger: o or v? o Let j be ((-18)/2)/(2*2/8). Let f be (22 + -1 + 1)/(j/27). Which is smaller: -34 or f? -34 Let o = 27.038 + -0.038. Let m = -26 + o. Is m < -6? False Suppose 0 = 5*t + 2*l - 889, -4*l - 291 = -5*t + 616. Which is smaller: t or 181? t Let q be 1/2 - 5348/8. Let k be q/(-816) - 2/(-4). Let o = k - -1/68. Which is greater: o or 1? o Let b = 8 - -3. Let w = -94 + 97. Suppose -w*v - b = 1. Which is bigger: -8/3 or v? -8/3 Let r(t) = t**2 + 16*t + 2. Suppose d + 16 = -0. Let p be r(d). Let f = -7 + p. Do f and -4 have the same value? False Suppose -4*p = 4*u - 76, -2*u + 98 = -2*p + 7*p. Let o = p + -21. Is o smaller than -2/25? True Let k = 45 + -44. Which is smaller: 6/35 or k? 6/35 Let i = 69 - 72.5. Let o = 1.5 + i. Which is greater: -5 or o? o Let f = -13.8 - -57.8. Is f > 0? True Suppose 0 = 4*u - 13*f + 11*f - 122, -4*u - 5*f = -101. Is u not equal to 20? True Let p be 1 - -1 - (-3)/1. Suppose -5*v + 4*j + 37 = 0, 0 + 25 = 2*v - p*j. Let r = -3 - -4. Is r greater than or equal to v? False Let t be 1372/(-40) - (-65)/(-26). Is -37 at least as big as t? False Let j be (-1)/3 + 76/12. Let n = -36.82 - 0.18. Let f = -36 - n. Which is greater: j or f? j Let n = 724 + -732. Is n bigger than -21? True Let k = 38.3 - 0.3. Let l = k - 32. Which is bigger: 0.2 or l? l Let y(t) = t**3 - t**2 - 2*t - 2. Let o be y(-2). Let n = 40 - 49. Which is greater: n or o? n Let p be -2 + (-2 + -4)*3/(-6). Let j be 5/20*p/((-2)/98). Which is smaller: j or -12? j Let v = -150.1 + -12.9. Which is smaller: 2 or v? v Let m(w) = -2*w**3 - 33*w**2 - 2*w - 12. Let o be m(-16). Is -236 equal to o? True Suppose -8*w = -2*w + 384. Is w <= -64? True Let t be -5 + 2 + 7 - (3 - 1). Suppose 0 = -t*b - 1 - 53. Is -27 <= b? True Let b = 35.8 - 36. Let y = 50/3 - 151/9. Which is bigger: b or y? y Let x = 46 + -39. Let a = 695/3 - 2699/12. Are x and a nonequal? True Let b be 2/3 + 77/(-3). Suppose -18*a - 37 - 306 - 71 = 0. Is b less than or equal to a? True Let l = -8 - -6. Let d = 4762/7 - 680. Which is smaller: d or l? l Let p = -31 - -30. Which is bigger: p or -5/33? -5/33 Let l be 2/(5046/24 - 6/(-8)). Which is greater: l or 0? l Suppose 4*t = -r - 98, -5*t = -2*r - 0*r + 116. Let j = t - -20. Let n be j - (-7)/((-196)/(-104)). Is -7 less than or equal to n? True Let i = -50 + 65. Let q be 3/(i/2)*(-5)/29. Is q at most as big as -1? False Let b = 133514/387 - 345. Is -1 at most as big as b? True Let n = -2/1943 - -73852/17487. Suppose -2 = -2*w + 4. Which is smaller: n or w? w Suppose 0 = -4*f - 20, -s - f = 4*s - 20. Suppose 0 = -2*l + 3*j + 5, l - 9 = -s*j - 0*j. Let t be (-13)/3 + -1 + l. Is t > 0.1? False Suppose 2 - 5 = -m. Suppose -2*a = 2*i - 9 - m, i = a - 2. Is 38/11 at most i? False Suppose -3*n - 586 = 5*m, -574 = 3*n + 8*m - 9*m. Does -192 = n? True Suppose 2*z + 12 = 2*k, k = -20*z + 15*z + 36. Which is bigger: 100/9 or k? 100/9 Suppose -19*n = -16*n - 24. Let c = -12 + n. Which is bigger: -7/2 or c? -7/2 Let w = -36.963 + 37. Let b = w + -0.017. Is 4 less than b? False Let m = 21 + -36. Let i be ((-6)/(-16))/(m/(-1450)). Let t = i - 36. Is t greater than or equal to -0.2? True Let v(x) = 9*x**2 - 2*x - 599. Let s be v(0). Which is smaller: -598 or s? s Let h = 11.4 - 11.326. Let i = h - 2.074. Is i >= -13? True Suppose 0 = -2*w + 6*w - 20. Suppose -w*h - a + 19 = -3*h, 14 = h - a. Which is bigger: h or 12? 12 Let i = 81 + 60. Which is smaller: 144 or i? i Let z be 44/(2 + 2340/(-294) + 6). Is z greater than 1079? False Let g be (0 + 3 + -2)*1. Let u be (4/(-8))/g*0. Suppose 12 = -u*s - 2*s. Is s at most -6? True Let a be 6*(0 + (-3)/(-9)). Suppose 0*v + 8 = 4*v + 3*z, -5*v + a*z = -10. Let w be ((-5)/v)/(25/(-5)). Is 0.5 < w? False Let y(r) = -28*r**3 - r**2 + 3*r - 2. Let b be y(1). Let w = -38 - b. Is -12 at least as big as w? False Let a(u) = -u**3 - 2*u - 1. Let x be a(-1). Let c(k) = 2*k - 11. Let i be c(8). Suppose -z = -p + i, x*p = 3*z + 8 + 5. Is 1 at most as big as z? False Let k = -2978/265 - -56/5. Suppose -182 = 7*l + 91. Let a be 16/104 + 45/l. Which is bigger: k or a? k Let s = -1.61 - -0.31. Let g = 0.39 + -1.49. Let m = g - s. Which is greater: m or 2? 2 Let w be (-10)/(-25) - 3/(-5). Suppose -10 = -3*g - 2*b - 272, 5*g = b - 415. Let a be (-8)/g*(-3)/(-6). Which is bigger: w or a? w Suppose -k + 0 - 1 =
{ "pile_set_name": "DM Mathematics" }
e gb. 1/120 Two letters picked without replacement from {h: 1, l: 16, f: 1}. What is prob of sequence hf? 1/306 Three letters picked without replacement from {j: 7}. What is prob of sequence jjj? 1 Two letters picked without replacement from {g: 3, j: 3, h: 3, q: 1}. Give prob of sequence hq. 1/30 Two letters picked without replacement from wmmw. What is prob of sequence ww? 1/6 Calculate prob of sequence zzma when four letters picked without replacement from {a: 2, z: 3, m: 2, w: 2}. 1/126 Two letters picked without replacement from njbviid. What is prob of sequence bv? 1/42 What is prob of sequence be when two letters picked without replacement from {j: 2, b: 4, r: 1, e: 1}? 1/14 Two letters picked without replacement from jllwelnbwnjl. What is prob of sequence ww? 1/66 Calculate prob of sequence qll when three letters picked without replacement from {q: 4, l: 16}. 8/57 Three letters picked without replacement from {z: 6, i: 3, k: 1, p: 3, d: 2, h: 4}. Give prob of sequence piz. 3/323 What is prob of sequence cjj when three letters picked without replacement from {j: 3, s: 1, c: 1}? 1/10 Four letters picked without replacement from {i: 5, r: 1, c: 14}. Give prob of sequence rcii. 7/2907 What is prob of sequence mgg when three letters picked without replacement from wgfswwm? 0 Two letters picked without replacement from {o: 2, u: 10, j: 6}. What is prob of sequence ju? 10/51 Calculate prob of sequence utvt when four letters picked without replacement from {v: 1, b: 1, t: 2, u: 1}. 1/60 Calculate prob of sequence wib when three letters picked without replacement from {w: 6, i: 3, h: 1, b: 8}. 1/34 Four letters picked without replacement from {b: 11, c: 3}. Give prob of sequence cbcb. 5/182 Four letters picked without replacement from xxxxxxfzfzxxxxf. What is prob of sequence fffx? 1/546 What is prob of sequence gt when two letters picked without replacement from {t: 1, e: 3, g: 5, d: 1}? 1/18 What is prob of sequence xx when two letters picked without replacement from hhhxwwhhx? 1/36 Calculate prob of sequence ddd when three letters picked without replacement from {l: 4, d: 5, f: 5}. 5/182 Calculate prob of sequence dc when two letters picked without replacement from {v: 1, c: 1, d: 2}. 1/6 Two letters picked without replacement from xmdmmxttddmmrd. Give prob of sequence dd. 6/91 Four letters picked without replacement from tgzttgjgztl. Give prob of sequence tjgt. 1/220 Four letters picked without replacement from kqmmymddmmddm. What is prob of sequence dyqk? 1/4290 Two letters picked without replacement from {r: 2, v: 5}. Give prob of sequence rv. 5/21 What is prob of sequence msms when four letters picked without replacement from murmvvsuvvusmbr? 1/2730 Four letters picked without replacement from {c: 3, k: 6, u: 4}. What is prob of sequence ucck? 6/715 Calculate prob of sequence ge when two letters picked without replacement from ygggyyylyley. 1/44 Calculate prob of sequence qcw when three letters picked without replacement from crtwqcc. 1/70 Two letters picked without replacement from pssspsapssgszagppa. Give prob of sequence ga. 1/51 Calculate prob of sequence hhyc when four letters picked without replacement from hycyhhy. 3/140 What is prob of sequence nr when two letters picked without replacement from {c: 1, b: 3, r: 1, n: 2}? 1/21 Three letters picked without replacement from jnnrsjxxsxxsjxsxs. Give prob of sequence xjr. 3/680 Calculate prob of sequence hk when two letters picked without replacement from {y: 2, k: 1, h: 4}. 2/21 Two letters picked without replacement from idfdfdfdffddfsf. Give prob of sequence si. 1/210 Three letters picked without replacement from {l: 6, s: 2, b: 3, z: 4, u: 1}. Give prob of sequence zul. 1/140 Three letters picked without replacement from {p: 15, e: 5}. Give prob of sequence eee. 1/114 Four letters picked without replacement from {e: 3, k: 1, p: 1, t: 7}. What is prob of sequence teke? 7/1980 What is prob of sequence scc when three letters picked without replacement from {c: 4, s: 2, i: 1, e: 1}? 1/14 Two letters picked without replacement from {k: 2, t: 1, d: 11, s: 1}. What is prob of sequence kt? 1/105 What is prob of sequence pe when two letters picked without replacement from {j: 2, e: 2, c: 4, g: 2, p: 4, v: 1}? 4/105 Calculate prob of sequence gr when two letters picked without replacement from {s: 4, r: 2, q: 2, k: 7, g: 5}. 1/38 Four letters picked without replacement from rrkzhrzrrrhozzzzzz. What is prob of sequence khoz? 1/4590 Two letters picked without replacement from {x: 10, j: 2, t: 2, p: 2, u: 1, g: 1}. Give prob of sequence xg. 5/153 Three letters picked without replacement from yradrqyarqaraa. Give prob of sequence qar. 5/273 Three letters picked without replacement from {h: 5, j: 3, w: 1, o: 1, s: 6, c: 3}. Give prob of sequence ojc. 1/646 Two letters picked without replacement from fov. What is prob of sequence vo? 1/6 Calculate prob of sequence gvg when three letters picked without replacement from {g: 2, v: 1, r: 7}. 1/360 Four letters picked without replacement from lblbblbllloo. Give prob of sequence lolb. 2/99 Four letters picked without replacement from urqu. Give prob of sequence rquu. 1/12 Calculate prob of sequence vrv when three letters picked without replacement from nvrvvvvnnvnnrvrv. 1/20 What is prob of sequence hcj when three letters picked without replacement from {b: 5, c: 3, j: 1, h: 2, w: 1, i: 1}? 1/286 Two letters picked without replacement from {o: 17, f: 1}. What is prob of sequence oo? 8/9 What is prob of sequence zzbz when four letters picked without replacement from {b: 3, z: 8}? 7/55 Calculate prob of sequence oo when two letters picked without replacement from vwovwlvvvvvvo. 1/78 Calculate prob of sequence as when two letters picked without replacement from {l: 2, s: 1, a: 1}. 1/12 What is prob of sequence xf when two letters picked without replacement from {f: 3, x: 5}? 15/56 Four letters picked without replacement from iuuiuuvivvvu. What is prob of sequence uiii? 1/396 Three letters picked without replacement from brrwvrbeerrrqwr. Give prob of sequence wvw. 1/1365 Calculate prob of sequence qqi when three letters picked without replacement from {q: 7, i: 4, l: 6}. 7/170 What is prob of sequence uqu when three letters picked without replacement from {u: 5, o: 8, q: 2, f: 2}? 1/102 Three letters picked without replacement from vviiv. Give prob of sequence vii. 1/10 Calculate prob of sequence rr when two letters picked without replacement from {r: 7}. 1 Two letters picked without replacement from tzh. What is prob of sequence th? 1/6 Two letters picked without replacement from bxrrrrb. What is prob of sequence rx? 2/21 Calculate prob of sequence iij when three letters picked without replacement from {i: 2, b: 2, j: 2, k: 2}. 1/84 Three letters picked without replacement from {f: 1, s: 1, u: 2}. Give prob of sequence ufu. 1/12 Three letters picked without replacement from qqqqqmqkqk. What is prob of sequence qkk? 7/360 What is prob of sequence ejee when four letters picked without replacement from {j: 11, e: 5}? 11/728 Four letters picked without replacement from {p: 10, q: 10}. What is prob of sequence qppq? 45/646 Two letters picked without replacement from azzzzzriz. Give prob of sequence ra. 1/72 Three letters picked without replacement from xoxgxoo. What is prob of sequence xxo? 3/35 Four letters picked without replacement from {s: 3, g: 2, w: 4, k: 6}. What is prob of sequence kwsg? 2/455 What is prob of sequence kee when three letters picked without replacement from {k: 1, p: 3, e: 2, j: 1}? 1/105 What is prob of sequence ccx when three letters picked without replacement from {c: 10, x: 10}? 5/38 What is prob of sequence pvp when three letters picked without replacement from {q: 2, p: 2, v: 3, k: 5}? 1/220 Calculate prob of sequence uc when two letters picked without replacement from ulc. 1/6 What is prob of sequence wkff when four letters picked without replacement from fwkckfwfkkfwk? 3/286 Two letters picked without replacement from mimioibii. Give prob of sequence mo. 1/36 Two letters picked without replacement from xyyyyvyyxxxdy. What is prob of sequence xy? 7/39 Four letters picked without replacement from {c: 4, t: 6, u: 4}. What is pro
{ "pile_set_name": "DM Mathematics" }
form o*i + x*i**3 + r*i**2 + z and give z. 79 Express 16*p + 17*p + 27 - 35*p + (0 + 1 + 2)*(-1 - 3*p + 1) in the form a + v*p and give a. 27 Express 2*d**2 - 2 - 11*d**3 + 8 + 487*d - 488*d + 0*d**2 in the form w + k*d**3 + q*d + s*d**2 and give w. 6 Express 7 - 7 + 4*u + (-1 + 3 - 1)*(0*u - u - u) + 40*u + 28*u + 13*u as q*u + d and give q. 83 Express (4*m - 4*m + m**2)*(-1 - 3 + 5)*((-3*m + 2*m + 7*m)*(-m + m - m) + m**2 - m**2 + m**2) as z + d*m**3 + u*m + l*m**2 + a*m**4 and give a. -5 Rearrange -7*c - 4825 + 2*c**2 + 3*c + 2404 + 2406 to the form q + y*c + b*c**2 and give b. 2 Rearrange (2*w - 6*w + 2*w)*(0 + 2 + 0)*(-3*w**2 - 4*w**2 + 17*w**2) to u*w**2 + q + m*w**3 + o*w and give m. -40 Express (-8 - 7 + 4 + (-3 + 5 - 1)*(-4 + 4 - 1))*(-5 + 5 + 2*m**4) - 2*m**4 - 3 + 3 in the form r*m**4 + u + f*m + p*m**3 + x*m**2 and give r. -26 Express 7*j**2 + 32294 + j - 32292 - 2*j**4 + 0*j**4 + (2*j**3 - 2*j**3 - 2*j**3)*(-2*j - j + j) as h*j + p*j**2 + n*j**4 + a + v*j**3 and give p. 7 Express -402 - 1293*h**2 + 811 - 409 in the form d*h + l*h**2 + w and give w. 0 Express (-8 - 16 - 31)*(2 - a - 2)*(-5 + 4 + 3) as r + s*a and give s. 110 Express (2*j**3 + 3*j**3 + 11*j**3)*(0 - 3 + 4)*(-1 + 1 - 2)*(1 - 3 - 6)*(4 - 4 - 1) as p*j**3 + h*j**2 + d*j + s and give p. -256 Express -1129*n**2 + 29*n**3 + 1130*n**2 - 6*n + 16*n**3 as w*n**3 + l*n + k*n**2 + d and give k. 1 Rearrange (0*r + 3*r - 3*r + 7*r**3)*(123 - 205 + 212) to i + x*r + p*r**2 + l*r**3 and give l. 910 Express 7 - 1 - 10*c - 8*c - 3*c**2 - 2 - 2 as i + m*c + j*c**2 and give j. -3 Rearrange (-3 + 3 + 5*l)*(17*l + 53*l + 38*l) to d*l**2 + i + x*l and give d. 540 Rearrange -45 + 11*w - 40 - w + 72 to the form i + k*w and give k. 10 Rearrange (-6 + 7*c**2 + 6)*(-5 + 5 - 10*c + c - 6*c + 3*c + 1 - 1 + c + (2 + 1 - 2)*(c + 0*c + 0*c) + 2*c - c + 0*c) to n*c**2 + l*c**3 + r + g*c and give l. -63 Express 18 - 58 + 40 - 589*i + 196*i in the form v + y*i and give y. -393 Express -2*q + 2*q - 3*q + (0*q - 2*q + q)*(4 - 1 - 1) + 11*q - 4*q - 30*q + (4 + 0 - 2)*(-3*q + 5*q - 3*q) in the form f*q + r and give f. -30 Rearrange 2*p + 1 + 478*p + 145*p + 81*p - 77*p to the form g + s*p and give s. 629 Rearrange -991*g - 1238*g + 1328*g to the form c*g + n and give c. -901 Express 2*q + q - 7*q + 20700*q**2 - 20717*q**2 + 2*q - 19*q**3 in the form x*q**2 + v + h*q + z*q**3 and give h. -2 Rearrange (0*p**2 - 3*p**2 - 5*p**2)*(-25 - 19 - 9) to u + m*p**2 + c*p and give m. 424 Express t + 2 + 3*t**3 - 24032*t**2 + t**4 + 24032*t**2 as k*t**3 + m*t**4 + g + p*t + r*t**2 and give p. 1 Express (0 + 1 - 3*v - 2*v + 2 - v - 2 + (-2*v + 5*v - v)*(-1 + 1 + 2))*(1 - 3 - 6) as m*v + b and give b. -8 Rearrange 20*i - 2 - 39*i - 5*i**3 + 3*i**4 + 17*i - 5*i**2 to c*i**4 + s*i**2 + z*i**3 + l*i + d and give l. -2 Rearrange (-v + 3 - 3 - v**3)*(126 - 822*v - 10*v - 126) to p + f*v**3 + t*v**4 + w*v + h*v**2 and give t. 832 Rearrange -139*z**2 + 148*z**2 - 5*z + 7*z + 6*z to the form t*z**2 + i*z + h and give i. 8 Rearrange -5 + 35 + 281*n**3 - 2*n**4 - 3*n**2 - 281*n**3 to t*n**4 + o + i*n**3 + j*n**2 + p*n and give o. 30 Express (-52*u**3 + 709*u**2 - 709*u**2)*(-5*u - 13 + 13) as b + a*u**3 + n*u**2 + z*u + c*u**4 and give c. 260 Express 0*n - 4 - n**3 + 4*n - n**3 - 11*n**2 + 6*n**2 in the form p + d*n + s*n**3 + b*n**2 and give d. 4 Rearrange -5510*a - 16*a**2 + 5506*a - 3 + 0*a**2 to the form x + q*a + s*a**2 and give q. -4 Rearrange -1 + h - 44*h**3 + h + 42*h**3 - 185*h**4 + 1 to the form b*h**4 + y*h**3 + z*h**2 + w + d*h and give b. -185 Express 98 - 114 + 2*u - 3*u**3 - u in the form z*u**3 + x + a*u + t*u**2 and give z. -3 Express -b + 4*b - 71*b**2 + 16*b**2 as x*b**2 + k + l*b and give l. 3 Express 29*v**2 - 25*v**2 - 32*v**2 + v + (v + 0*v - 2*v)*(2*v - v + v) as b + f*v + n*v**2 and give f. 1 Rearrange 17 - 18 - 8*d**3 - d + 68 + d to h*d**3 + i*d**2 + g + q*d and give g. 67 Rearrange (2 - 3 + 3)*(5*v + 0*v + 3*v) + v + 3*v - 2*v + (0 + 0 - 2)*(-2*v + 0*v + 0*v) - 15*v + 48 - 48 to the form b + r*v and give r. 7 Rearrange 2*t - 14 + 0*t - 10 - 2 to the form x + y*t and give y. 2 Rearrange -2*o**3 + 4*o - 4*o + (o - o - 3*o**2)*(-5974 + 5*o + 5920 - 6*o) to the form z + r*o**2 + w*o**3 + f*o and give w. 1 Express -g + 10*g**4 - 187*g**2 + 186*g**2 + 4 + 17*g**4 as l*g + h + i*g**2 + z*g**3 + y*g**4 and give l. -1 Rearrange -2*c**2 + 586 - 296 - 289 - 6*c to the form p*c + i + w*c**2 and give p. -6 Express -145*t - 131*t + 3 + 278*t + 22*t**3 in the form f*t + s*t**2 + r*t**3 + k and give f. 2 Express (1074 - 1074 + 80*l**2)*(-4*l + 24 + 2*l + 0*l) as d + f*l**2 + a*l + i*l**3 and give i. -160 Rearrange -4*l + 5*l**4 + 5*l**3 + 8*l - 2*l**2 - 2*l**4 - 3*l**3 to the form w + z*l + x*l**4 + a*l**3 + d*l**2 and give d. -2 Express -404*z + 220*z - 543*z - 60*z - 125*z as o*z + a and give o. -912 Rearrange (-2 - 4 + 0)*(-k + 2*k - 3*k)*(-23 + 23 + 52*k**2) to the form u + j*k**2 + n*k + a*k**3 and give a. 624 Express -2*o + 4*o - 3*o + (-1 + 0 + 4)*(1 - 3 + 3)*(-11*o + 58*o + o) in the form u + s*o and give s. 143 Express -329*v + 712*v + 6 - 361*v in the form o*v + g and give g. 6 Rearrange -462*h**3 + 1 + 4 - 899*h**2 - 3 + 899*h**2 - h to c + j*h**3 + b*h**2 + o*h and give o. -1 Express (-k - 3*k + 2*k)*(2*k - 5*k**2 - 2*k**2 + 5056 - 5059) as p*k**3 + i + t*k**2 + f*k and give t. -4 Rearrange 7 + 306*f + 415*f - 7 to a + v*f and give v. 721 Express 153 - 53*z**2 + 147 - 298 in the form r*z**2 + o + b*z and give r. -53 Rearrange (-6 - 3*b + 6)*(-8 + 2 - 3) + 3*b - 2*b - 5*b to k*b + y and give k. 23 Rearrange (4 - 2 - 1)*(2 - 381*z + 0 + 251*z) to u + b*z and give b. -130 Express (n - 75*n - 4*n)*(-3*n**3 - n**3 + n**3) - 2*n**4 - 2*n**2 - n**4 + n**2 as h*n**2 + f*n**3 + q*n + a*n**4 + b and give h. -1 Express -7*c**2 + 11*c**2 - 24 + 25 + 2*c**2 + c as q*c + w + m*c**2 and give q. 1 Express 38*g**2 + 46*g**2 - 80*g**2 - 4 in the form r*g + h*g**2 + v and give v. -4 Rearrange 3*x**2 + 2 + 4*x**3 + 57*x - 55*x + 2*x**3 - 7*x**3 + 4*x**4 to the form v*x + p*x**3 + n*x**2 + b + t*x**4 and give p. -1 Rearrange (0 - 1 - 1)*(1 - 3 + 3)*(-4*l + 4*l - 6*l)*(-1 + 3 - 3) - 22*l - 48*l + 18*l - 7*l + 2*l + 2*l to the form y + i*l and give i. -67 Express (2 + 2 + 1)*(-2 + 1 - 1 + (-3 + 4 - 3)*(0 - 1 + 0) - 46 + 88 + 37)*(-1 + 1 + 2*d**2) in the form o*d + s*d**2 + t and give s. 790 Rearrange 4 - 2 - 5*f - 28*f**3 + 15*f**4 - 7*f**4 + 6*f + f**2 - 11*f**4 to the form k*f**3 + q*f**4 + c*f + v*f**2 + b and give c. 1 Express -16 - 8 - 719*m + 35 - 11 in the form f*m + l and give f. -719 Rearrange 8*b - 19 + 19 + 2*b + 0*b + 0*b + (18*b + 92 - 92)*(-1 - 1 + 3) to the form i*b + x and give i. 28 Rearrange 3*s**4 - 3*s**4 - s**4 + (4*s + s**2 - 4*s)*(-3*s + 3*s + 3*s**2) + 4*s**2 - 4*s**2 + 2*s**4 to h + x*s**2 + l*s + k*s**3 + n*s**4 and give n. 4 Rearrange -d**3 + 155*d + 1 - 35*d + 46*d to the form o + f*d**3 + p*d + n*d**2 and give p. 166 Rearrange -7*x**3 - 51*x**2 + 51*x**2 + (-4*x + 2*x + 4*x)*(-3*x**2 - 3*x**2 + 7*x**2) to the form q + y*x**3 + o*x + r*x**2 and give y. -5 Rearrange -21*b**3 + 4*b**3 + b**3 + (-2*b**2 - 2 + 2)*(-4 + 4 - 2*b) + 3*b**2 + 2*b**3 - b**3 - 4*b**2 to u + f*b**2 + l*b**3 + s*b and give l. -11 Express 8*v - 5*v - 15*v + (-3 + 2 + 3)*(-v + 6*v - v) in the form p + y*v and give y. -4 Express -5*v**2 - v**3 + 4 - v**3 + 2 - 5 in the form o*v**2 + c*v**3 + u*v + q and give u. 0 Express 6 - 2*k + 2*k - 2*k + 7 - 10*k - 7 + (-2*k + 3*k + k)*(-1 - 2 + 2) - 2 - 2*k + 2 + (4 - 2 + 0)*(2*k - k + 0*k) as d*k + j and give d. -14 Rearrange (9*b + 0*b - b)*(-b**2 - b**2 + 3*b**2) + 64*b + 3*b**3 - b**2 - 31*b - 35*b to n*b**2 + u*b**3 + s*b + d and give n. -1 Rearrange (1 + 1 + 2)*(-3*y**2 + 5*y**2 - 3*y**2) + (-y - 3*y + 0*y)*(-8 + 8 + 9*y)*(-2 - 3 + 1) to the form m + f*y + r*y**2 and give r. 140 Express (-q**3 + 3*q**3 - 2 + q**3)*(526 - 526 + 252*q) in the form d*q**4 + t*q**3 + o + r*q**2 + j*q and give d. 756 Express 71*a**2 + 12*a**2 - 19*a + 32*a - 14*a as i + u*a**2 + j*a and give j. -1 Express (-10*f - 12*f + 6*f)*(-10 - 4 - 10) + 3*f + 3*f - 5*f + 0 + 2*f + 0 - f + 4 - 4 + 0*f + 0*f - f + (3*f - f - 3*f)*(0 - 2 + 4) as r + v*f and give v. 383 Rearrange -111*b**2 - b**3 - 1 + 54*b**2 + 54*
{ "pile_set_name": "DM Mathematics" }
. What is w rounded to the nearest one million? -11000000 Let k = 25.08 - 36.9. Let c = 9.9 - 10.92. Let q = c - k. What is q rounded to 0 dps? 11 Let f = -0.21 + 1.51. Let c = 1.300056 - f. Round c to 5 dps. 0.00006 Let i = 1721.21 - 1714. Round i to zero decimal places. 7 Let w = 615.198 - 615. What is w rounded to two decimal places? 0.2 Suppose 3*f - 155 = 5*r, 4*r = 8*f - 3*f - 254. Suppose -3*m + 157 = -2*g, -5*m + g + f = -200. Round m to the nearest ten. 50 Suppose -2*c - c = 6, 0 = 2*h - 2*c - 1850. Suppose -4*m + 8933 = 2*a + h, -2*m + 2*a + 3990 = 0. What is m rounded to the nearest 100? 2000 Let q = -178.170007339 + 178.17. Round q to 6 dps. -0.000007 Let u(p) = -567*p**2 + 2*p + 1. Let x be u(-1). Let c be (1647/15)/((-72)/(-240)). Let i = x + c. What is i rounded to the nearest 10? -200 Let a = -30 + 44. Let g = a - 4. Let h = -9.99999996 + g. What is h rounded to seven decimal places? 0 Let g = 33 + -28. Suppose 2*t - g*d + 5235 = -3*t, -9 = 3*d. What is t rounded to the nearest 100? -1100 Suppose -4*p - 3*i = -18, -7*i + 10 = 3*p - 3*i. Let b be (-240)/(-14)*651/p. Suppose -8*z = -5*z + b. Round z to the nearest one hundred. -600 Let f be (8/(-14))/((-1)/7). Suppose -5*m + 2419617 = f*n, -4*m + 1935693 = -0*n + 3*n. Let t = m - 1363921. Round t to the nearest 100000. -900000 Let n = -32.33 - -15.03. Round n to the nearest integer. -17 Let k = -1290 - -1281.63. Let y = k + -94.73. Round y to the nearest 10. -100 Let w = 65.81 + 13.29. Let m = w - 80. What is m rounded to the nearest integer? -1 Suppose -q - 737185 = 3*q + 5*r, 0 = 2*q - 4*r + 368612. Round q to the nearest 10000. -180000 Let g(m) = 2*m - 4*m**3 + 58 + 0*m + 3*m**3 + 0*m**3 - 2*m**2. Let l be g(0). What is l rounded to the nearest ten? 60 Let h(v) = 605*v + 354. Let s(u) = 121*u + 71. Let x(n) = -2*h(n) + 11*s(n). Let k be x(-23). What is k rounded to the nearest one thousand? -3000 Let y(o) be the third derivative of o**5/60 - 5*o**4/24 - 6200*o**3/3 + 32*o**2. Let n be y(0). Round n to the nearest one thousand. -12000 Let s = -0.11 + -1.49. Let b = s - -1.68. Let p = b + -0.08015. What is p rounded to four decimal places? -0.0002 Let a = -0.219 - -0.019. Let y = -0.05 + a. Round y to 1 decimal place. -0.3 Suppose 2*m + 6175 = 3*h + 2*h, -2*h - 3*m + 2489 = 0. Round h to the nearest 100. 1200 Let f(i) = 336*i - 32. Let z be f(-13). Let n = 200 - z. What is n rounded to the nearest 1000? 5000 Let o = 0.3360036 - 0.336. Round o to five decimal places. 0 Let j = -405 - -404.784. Round j to two decimal places. -0.22 Let g = -0.865 + 0.133. Let o = g + 0.72. Round o to 3 decimal places. -0.012 Let y = -0.081 - -12.381. Let h = 12.3000321 - y. What is h rounded to 6 dps? 0.000032 Suppose 0 = -4*y + 3*j - 130399985, 0 = -2*y - 2*j - 57945158 - 7254852. Round y to the nearest one million. -33000000 Let a be (1 - 6/8)*16. Suppose a*t = -1588 - 256. Let k = 299 - t. What is k rounded to the nearest one hundred? 800 Let i = -38 + 44. Let y be 40/i*(-2 + 5)*28500. Round y to the nearest one hundred thousand. 600000 Let f = -4300.3 + 4086. Let z = -37.3 - f. Let x = 169.9 - z. What is x rounded to the nearest integer? -7 Let z = -42 + -36. Let s = -30 - z. Let o = -48.132 + s. What is o rounded to 2 dps? -0.13 Let k = 4 + -1. Suppose 3*t - 4*t = k*h - 7680006, 5*t - 38400002 = -h. Round t to the nearest one million. 8000000 Let l = -235792478215 - -235792477544.999999601. Let s = -670 - l. What is s rounded to seven decimal places? 0.0000004 Let b = 222.00108 - 222. Round b to 4 decimal places. 0.0011 Let n be 3 - (-6)/(-3) - 2. Let l(i) = -i**3 + i**2 - 1. Let d be l(n). Let c(y) = -1470*y. Let x be c(d). Round x to the nearest one hundred. -1500 Let f = -97 + 96.919. Let h = f + 0.0757. What is h rounded to 4 decimal places? -0.0053 Let y = 0.5552 + -0.55522311. What is y rounded to six dps? -0.000023 Let p = 444 - 511.5. Round p to the nearest 10. -70 Let g be ((-4)/6)/(-3 - 33824/(-11274)). Let v = g + 2678. Round v to the nearest 100. -1100 Let c = 20 + -16.65. Let p = c + -1.53. What is p rounded to one decimal place? 1.8 Let g = 81712 - 81749.00048. Let k = g - -37. What is k rounded to 4 decimal places? -0.0005 Let r(s) = s**2 + s + 33550. Let p be 6/(-21) + (-2)/(-7). Let k be r(p). Suppose k = f + 333550. What is f rounded to the nearest 1000000? 0 Let h(b) = -2628*b**2 - 16*b - 16. Let j be h(-4). Round j to the nearest 10000. -40000 Let t = -247.999836 + 248. What is t rounded to 5 dps? 0.00016 Let n = -1142 + -17258. Let u be (n/3)/(1/6). What is u rounded to the nearest ten thousand? -40000 Let o = 0.028398 + -0.0284. What is o rounded to 6 decimal places? -0.000002 Let s = 5.5 - -22. Let a = s + -41. Round a to the nearest integer. -14 Let i = -0.935 + 0.9747. Round i to 2 dps. 0.04 Let b = 20 + -12. Suppose -2*y - p - 1 = -4*y, -2*y + 4*p - b = 0. Suppose -2*z + y = -m, -4*z - 5*m + 1 = 11. Round z to the nearest one hundred thousand. 0 Let a(w) = 5291*w - 9. Let j be a(-18). Let h = j + -31753. What is h rounded to the nearest 10000? -130000 Let t = -8306.455 + 8285. Let k = -0.045 + t. Let f = k - -21.5163. Round f to three dps. 0.016 Let o be (625/2)/(-2*2/(-46720)). Suppose 0 = 6*h - h + o. Round h to the nearest 100000. -700000 Let s(r) = 4397540*r**3 - r**2 + 1. Let k be s(-1). Let m = -5706946 - -11009406. Let h = k - m. What is h rounded to the nearest 1000000? -10000000 Let r(p) be the first derivative of 12*p + 133334/3*p**3 - 3*p**2 + 5. Let i be r(6). What is i rounded to the nearest 1000000? 5000000 Suppose 14*z - 865991 = -4*v + 11*z, v + 4*z = 216488. Round v to the nearest 10000. 220000 Let i(g) = 33*g**3 + 4*g**2 - 5*g + 7. Let k be i(2). What is k rounded to the nearest one hundred? 300 Let g = 56976.024279 - 56976. Let v = 0.0245 - g. What is v rounded to five dps? 0.00022 Let a = 10695166 + -18245166. Round a to the nearest one hundred thousand. -7600000 Let n be 4/10*(4 - -16). Suppose -5*a + n = m, -2*a = -4*m + 6*m. Suppose a*s + 4452 = 22452. Round s to the nearest 10000. 10000 Let t = -3997 + 8583. Let n = t - 59586. What is n rounded to the nearest ten thousand? -60000 Let b = 1915 + -1915.000000993. Round b to 7 dps. -0.000001 Let y be (176/66)/(2/9468). What is y rounded to the nearest one hundred? 12600 Let f = 0.3 - 0.8. Let r = -1.2 - f. Let c = r + -0.5. What is c rounded to the nearest integer? -1 Suppose -18*v = -2*v + 45760. Round v to the nearest 100. -2900 Let v = 7539871 + -22433120. Let h = -4717212 + -1876037. Let m = h - v. Round m to the nearest 1000000. 8000000 Let g be 40562/6 + 49/(-147). Round g to the nearest 100. 6800 Let b = -22 + 15. Let x = b - -80.5. Let j = -96 + x. Round j to the nearest integer. -23 Suppose 46704 = 6*t - 3*t. Suppose -3*p - 24125 = -4*k - 8559, 3*p = 2*k - t. Round p to the nearest one thousand. -5000 Let u = 137.9 + 46.1. Let t = u + -215.9. What is t rounded to 0 dps? -32 Let k be 80/(-42) - -1 - 344/3612. Let g(h) = 375*h + 2. Let v be g(2). Let n be v - (3 + k)/1. Round n to the nearest one hundred. 800 Let b = -0.55 + 0.8. Let n = 2.75 + 3.5. Let s = n + b. Round s to the nearest integer. 7 Suppose 101502 = 12*m + 6*m. Round m to the nearest 1000. 6000 Let o = -8 + 10. Let p = 11 + o. Let b = 13.025 - p. What is b rounded to 2 dps? 0.03 Let l(z) = -95*z**2 - 22*z - 203. Let p be l(21). What is p rounded to the nearest one thousand? -43000 Let s be -235800*5/24*8. What is s rounded to the nearest one hundred thousand? -400000 Let s be (1/(-3))/(-4 - 140/(-36)). Suppose -5*n + 4*q = 31, 3*n + q + 2*q = s. What is n rounded to the nearest integer? -3 Let f(p) = 326*p**3 - 24*p**2 + 14*p - 36. Let k be f(-21). What is k rounded to the nearest one million? -3000000 Let v = 17.249 + -17.255979. Round v to 3 decimal places. -0.007 Suppose 17*n + 213019003 = 43019003. Round n to the nearest one million. -10000000 Let m = 468.6 - 468.53057. What is m rounded to three dps? 0.069 Let t = -193 - -417. Suppose -3*q + t = q. Let h = 84 + q. Round h to the nearest ten. 140 Let q(j) = j**3 + 3*j**2 - 5*j + 3. Let o be q(-4). Suppose -4*v = -3*n + 115, 3*n - o*v + 2*v - 113 = 0. Round n to the nearest ten. 40 Let c = 378906529.759999961 - 378906530. Let r = c + 0.24. What is r rounded to 7 dps?
{ "pile_set_name": "DM Mathematics" }
is divided by t(a). 3 Suppose -3 = -3*j - 2*m + 1, 2*j - 11 = -3*m. What is the remainder when 108 is divided by -2*j/16 - (-223)/4? 52 Let a = 44 + -17. What is the remainder when -48*(0 + -2) - (-174 + 171) is divided by a? 18 Suppose -5*w = -13*w + 288. Let d = w + -22. Let s(i) = 19*i - 7. What is the remainder when s(3) is divided by d? 8 Suppose 203*o = 391*o - 220336. Calculate the remainder when o is divided by 237. 224 Let r = -120 + 122. Suppose 2*j = -r*j + 716. Calculate the remainder when j is divided by 12. 11 Suppose -3*h + 200 = 2*w, -14*h = -13*h + 3*w - 76. Calculate the remainder when 371 is divided by h. 51 Let j be (0 - -2) + 0 + 0 + -48. Calculate the remainder when 14 is divided by (-391)/j + (-1)/(-2). 5 Suppose 6325*f - 627 = 6292*f. What is the remainder when 100 is divided by f? 5 Suppose 0 = -87*k + 132*k - 110*k + 975. What is the remainder when 1848 is divided by k? 3 Suppose 0 = 33*g + 137*g - 20*g - 14550. What is the remainder when 545 is divided by g? 60 Let j be 483/(-14)*(-2 + 4). Let x be 23/j + (-2)/(-6). Suppose p - 5*i - 55 = x, -p + 3*p = -i + 55. Calculate the remainder when p is divided by 4. 2 Let s = -75 + 80. Suppose 43 = -3*l - 5*n + 213, s*n + 105 = 2*l. Let f = l - 22. Calculate the remainder when f is divided by 5. 3 Suppose 0 = 11*n - 40*n + 216 + 596. Let h = 42 + -74. Let v = h - -169. Calculate the remainder when v is divided by n. 25 Suppose -4*k + 2*k = -18. Suppose -298 = -28*p + 24*p + 3*s, 4*p = -3*s + 334. Calculate the remainder when p is divided by (k/(-6) - 0)*-6. 7 Suppose 612 = 5*n + r, -2*n - 5*r + r = -234. Let m = n - 112. What is the remainder when m is divided by 3? 2 Suppose -2*x + 2 = -0*x. Let a = -6046 + 6056. Let l = a - x. What is the remainder when 32 is divided by l? 5 Suppose 234665 = 42*x + 50*x - 261491. What is the remainder when x is divided by 62? 61 Let o = -7923 - -8304. Calculate the remainder when o is divided by 190. 1 Let m = 1080 + -843. Calculate the remainder when m is divided by 52. 29 Suppose -4*t = 5*o - 4, 7*t - 2*t - 5 = 5*o. Let n be ((-9)/21)/(1/7). Calculate the remainder when (-2)/(-1) + (1 + n - -4) is divided by t. 0 Let s(m) = -m**2 + 6*m - 53. Let x be s(24). What is the remainder when (-8)/(6 - x/(-80)) is divided by 34? 26 Suppose -u - 5*p - 491 = -3*u, 0 = 4*u - 2*p - 1006. Let g = -196 + u. Calculate the remainder when g is divided by 22. 13 Suppose 0 = 2*y - o - 6925 + 2002, -o = 5*y - 12318. Calculate the remainder when y is divided by 9. 6 Let v(l) = -l**2 - 10*l - 6. Suppose -2*n = 2*k - 184, 2*n + 88*k - 156 = 93*k. Calculate the remainder when n is divided by v(-5). 12 What is the remainder when 4 - (3 - (-7 - (-294 - 4))) is divided by 7? 5 Let a = 737 + -767. Suppose -l + 14 - 4 = 0. Calculate the remainder when 1880/48 - (-5)/a is divided by l. 9 Let a(g) = 18*g**2 - 269*g + 17. Calculate the remainder when 233 is divided by a(15). 9 Suppose s - 6 = -5*s. Suppose 0 = 4*g + 37 - 9. What is the remainder when 3 is divided by -3 - ((-18)/(-21))/(s/g)? 0 Let p = 1159 - 556. Let m = p - 423. What is the remainder when m is divided by 46? 42 Let p = -326 + 342. Suppose -4*d = -z - 5*d + 126, -4*d + p = 0. Let m = 27 - -14. Calculate the remainder when z is divided by m. 40 Suppose 4*n + 424 = d + 3*d, -2*n = d - 91. Calculate the remainder when d is divided by 9. 2 Suppose 5*o - 10*o - 5*j = -4160, 3*j = -o + 826. Suppose 0 = 5*k - 3*l - o, 2*k = l - 4*l + 355. Calculate the remainder when k is divided by 36. 26 Suppose -4159*w - 140 = -4166*w. What is the remainder when 1298 is divided by w? 18 Let c = -1739 + 3032. Suppose 0 = -g - 2*b + 54, -5*b + 66 = 2*g - 40. Calculate the remainder when g is divided by (0 + (-3)/(-2))*17240/c. 18 Let f(l) = l + 6. Let s be f(1). Suppose 4*a = -s*a. Suppose a = 20*j - 18*j - 46. Calculate the remainder when j is divided by 6. 5 Let h(j) = 53*j - 4*j - 26*j + 16. Suppose 12 = y + 1. What is the remainder when h(4) is divided by y? 9 Suppose 52 = u - r, -291*u + 293*u + r - 110 = 0. Suppose c - 17 = 3*z, 0 = -2*c - 5*z + 64 - 8. Calculate the remainder when u is divided by 4/2 + (c - -3). 26 Suppose -5*m - 7*m = -m. Calculate the remainder when 3 + m - 1/(1/(-69)) is divided by 15. 12 Let c(x) = -54*x. Let l be c(1). Let f = -57 - l. Calculate the remainder when 60 is divided by 28/(-4)*(-6 - f). 18 Let w(q) = q**2 - 18*q - 51. Calculate the remainder when 3/(-12) - (-1188)/16 is divided by w(-3). 2 Suppose -1669 + 1241 = -4*c. Calculate the remainder when 203 is divided by c. 96 Suppose 5*n = -5*z + 280, -525*n + 520*n + 40 = 0. Calculate the remainder when 940 is divided by z. 28 Calculate the remainder when 41 is divided by ((-45)/6)/(-3) - (228/(-24) + -5). 7 Suppose 56*s - 481 = 55*s + 2*o, -7*o = -4*s + 1921. What is the remainder when s is divided by 129? 88 Let p(t) = 20*t**3 - t**2. Let d be p(-2). Let u = d - -204. Let w = 35 - 21. Calculate the remainder when u is divided by w. 12 Let c(i) = i**3 - 41*i**2 - 272*i - 126. What is the remainder when 1077 is divided by c(47)? 45 Let a be (-5)/15*-2*9. Suppose -4*i - l - 632 = 0, -632 = 4*i - l + a*l. Let m = 322 + i. Calculate the remainder when m is divided by 33. 32 Let w be (-105)/15*1*-1. Suppose w + 2 = 3*q. Let u = q + 4. What is the remainder when u is divided by 6? 1 Calculate the remainder when 0 - 9 - ((-3888)/(-576))/((-6)/4496) is divided by 266. 261 Let q(j) = -85*j + 10. Let s be q(2). Let c = s - -184. What is the remainder when 46 is divided by c? 22 Calculate the remainder when -11*13/858 + 5498/12 is divided by 110. 18 Let i(l) = 142*l + 2118. What is the remainder when i(-11) is divided by 8? 4 Suppose 0 = -5*r - 91 + 106. Suppose -3*q + 2*y = 6*y - 149, 139 = r*q - y. Calculate the remainder when 140 is divided by q. 46 Let r = 25 - 17. Suppose 111*d - 1131 = 1034 - 722. Calculate the remainder when d is divided by r. 5 Let z(g) = 2*g**3 + 5*g**2 - 4*g + 1. Let x be z(-3). Suppose 93 = x*h + 25. Suppose 2*k + 3*k = 50. What is the remainder when h is divided by k? 7 Let l(o) = -13*o**2 + 2043*o + 54. What is the remainder when l(157) is divided by 28? 4 Suppose -160 = 85*c - 95*c. Calculate the remainder when 200 is divided by c. 8 Let t = -43 + 13. Let z = t - -52. Calculate the remainder when z is divided by (((-16)/12)/(-2))/(11/132) + 1. 4 Suppose 2*h - m = 162, -m - 80 = -4*h + 3*h. Let v = -69 + h. What is the remainder when 348 is divided by v? 10 Let i = 29080 + -29038. What is the remainder when 355 is divided by i? 19 Let i = 296 + 3354. Calculate the remainder when i is divided by 44. 42 Suppose 17416 + 343634 = 396*h + 19*h. What is the remainder when h is divided by 167? 35 Suppose 50 = 41*t - 196. Suppose -6*r + 5*r - 6 = -m, -4*r = m - t. Calculate the remainder when ((-2)/4)/((-2)/104) is divided by m. 2 Let k be -2 - (26/(-6) + (-4)/6). Suppose -m + 86 = 2*i + m, k*i - 121 = m. Calculate the remainder when i is divided by 5. 1 What is the remainder when (-38)/247 + ((-12080)/26)/(-4) is divided by 55? 6 Suppose 2*t - 500 - 102 = 3*r, 0 = -t - 3*r + 274. Calculate the remainder when t is divided by 13. 6 Let w = 17014 - 16499. What is the remainder when w is divided by 117? 47 Let w = 35166 - 35137. Let k(x) = -84*x**3 + 2*x**2 - 1. Calculate the remainder when k(-1) is divided by w. 27 Suppose -6*q + 2*q = 3*w - 36, 2*w + 44 = 3*q. Let p be (-3)/2*32/6. Calculate the remainder when 204/9 + p/12 is divided by q. 10 Suppose -2*d = 4*t - 12713 - 14295, d + 13492 = 2*t. What is the remainder when t is divided by 30? 29 Let g be (52/(-208))/(1/(-248)). Suppose g*p = -10*p + 1296. What is the remainder when 32 is divided by p? 14 Let r = 8 + -31. Let d(m) = -m**3 - 23*m**2 + m + 25. Let h be d(r). What is the remainder when h/((-5)/200*-5) is divided by 5? 1 Let k = 6186 - 4393. Calculate the remainder when k is divided by 31. 26 Let l = -9017 - -9045. Let p(c) = 3*c**2 - 3*c + 2. Calculate the remainder when l is divided by p(2). 4 Suppose 19*o + 6 = 22*o. Let z(r) = 2*r**3 + 4*r - 8. Suppose s - 469 = -5*h - 0*s, -3*s + 12 = 0. What is the remainder when h is divided by z(o)? 13 Let g = 1 + 10. Let p be (-11)/22*0/1. Suppose 79*d - 84*d + 15 = p. Calculate the remainder when g is divided by d. 2 Let
{ "pile_set_name": "DM Mathematics" }
+ 950/(-40)))? 6/19 What is 4*605/100 + (-3)/10*(-232)/87? 25 Evaluate (-2881)/3784 - (-312)/(-858). -9/8 Evaluate (4 - (-170)/(-40))*(-8 + -80). 22 Evaluate (-3 - 10822/(-721)) + 230 + -242. 1/103 What is (-302)/(-5436)*((-66)/(-4) + -3 + -3)? 7/12 Calculate (1/7)/((-2147)/(-30849)*-39). -1/19 What is the value of (-5211)/(-317871) - (-1833)/(-183)? -10 What is 16/14*(-16100)/(-1380)*3/5? 8 What is the value of (-540)/600 + (-1755)/1050? -18/7 660/(-22) + 23 - 725/(-100) 1/4 Evaluate 190/4 + -3 + ((-13485)/(-186))/29. 47 Evaluate (-8984)/214 - 5650/302275. -42 What is the value of 2 + (-144)/69 - (444920/(-920))/7? 69 What is (-71925)/(-339075)*(1 + -4 + (-366)/(-14))? 54/11 (-1098)/770 - 1533/(-1095) -2/77 Evaluate 37 + ((-24050)/(-111))/(-10) + -16. -2/3 Calculate 115/(-1288)*(-672)/(-28). -15/7 Calculate 3 + (3 - (-110)/(-30))*-72. 51 (-255)/(-22) + (-50 - (-4304)/88) + -14 -7/2 Evaluate ((-554)/(-12) + 3/(-18))*13195/5278. 115 ((-340)/(-2440))/((-9299)/(-2188)) 2/61 Calculate (-8)/670*5325/2130. -2/67 Evaluate 15456927/(-206363) - 6/61. -75 Calculate 29 + 1 + -22 + ((-57)/6 - (-3)/(-12)). -7/4 What is the value of (-1752)/(-5256) - 545/15? -36 Evaluate (-246)/18*((-387)/(-86) + 57/(-10)). 82/5 Evaluate 12/(-20) + 12/(-20) - (-20910)/425. 48 Calculate -63*39/117 + 2568/122. 3/61 -62 + 4851/252 + (-3 - 46/(-8)) -40 -2 + 16 - (-16720)/2783 - 20 2/253 21675/1020*(1 - 0 - (-275)/(-55)) -85 19926/(-1476)*(-8)/(-3) - 15 -51 (-42120)/20475*11/(-99)*-15 -24/7 Evaluate ((-700)/180)/(46/414). -35 Calculate (140/(-105))/(4/6)*1/2 - 7. -8 Evaluate 24/204 - -1*5588/187. 30 Calculate 89 - (-3 - 84132/(-918)). 6/17 36 + 92/483 + 500374/(-13818) -1/47 Calculate 9*2/6*(-1078)/(-294). 11 Evaluate 3020/(-68) + 9780/(-16626). -45 (4/(-7))/(211 + (-3525)/21) -2/151 Evaluate ((-12)/8)/(26/36 + -9*(-46)/(-1863)). -3 What is 31773/(-45390)*730/(-56) + (-2 + -1)*3? 1/8 Evaluate (-1)/(41*29/(-1189))*102/(-4)*2. -51 What is ((-4028)/266)/(270/(-63)) + 2/15? 11/3 Evaluate ((-1128)/624)/(97/(-2522)). 47 What is the value of 120 + -1 - 10 - (25 - 10)? 94 What is (26 - 15) + 29 - 178874/4471? -2/263 What is the value of (390/3)/(-13)*(6/(-4))/(-126 + 30)? -5/32 32 - ((-11)/(-2) - 2*(-10 - (-527)/68)) 22 Evaluate (6/10)/3*(6/51 - 546/3196). -1/94 What is -6 - (-189)/33 - (12 - (-1190)/1122)? -40/3 10494/(-954)*(-40)/264 5/3 Evaluate (8 - 576/90)/((-472)/40 - -5). -4/17 ((6/9)/((-1275)/(-7650)))/(16*-1) -1/4 What is (390/(-429))/((-87)/495 - (-244)/915)? -10 Evaluate (-1470)/(-16905)*4/(-8). -1/23 Evaluate (-220 - -24 - -188) + (27 + (2 - 2))*-1. -35 Evaluate (-2)/4*(14/(-7))/(248/16). 2/31 What is 16/(-152) + (-205155)/(-5529)? 37 What is 22*(-16)/(-44)*16/64 - (125 + 1)? -124 What is the value of (-3780)/158760 - 195/126? -11/7 876/(-340) - 57*21/(-6783) -12/5 (-14 - 0) + (41 - (-2 - 1080/40)) 56 340207/(-5488) + 47/(-5264) -62 What is 3/8 - (-2)/(-46 + 472276/10262)? 92 What is the value of 165/10*(-57)/76*8/(-3)? 33 13140/630 + -1 + 30/14 22 What is (((-6930)/(-24))/(-77))/(39/364)? -35 (-170)/12 - (-25*17/1785 - (-12)/21) -29/2 (-7966)/98 - (-6372)/(-3717) -83 What is 1290/3010 - 12765/(-105)? 122 What is 10/1350*-9 - 1114/(-120)*2? 37/2 What is the value of 5 - 154/50 - (4 + -2) - 155601/(-2825)? 55 What is the value of ((-44)/704)/(87/(-144))? 3/29 What is 74/(-15) + 27 + -22 - 14381/2190? -13/2 What is 12/(-9)*23*(-2922)/(-3896)? -23 Calculate 352/18128 + (-7300)/4635. -14/9 Calculate 38850/10360*((-24)/(-234))/(-1). -5/13 Calculate (((-299)/92)/((-8515)/524))/(0 + (-46)/10). -1/23 Calculate 28 + (32 - 36)*9 - ((-14)/4 + 1). -11/2 What is 6591 + -6521 - (-37 - 0)? 107 What is the value of -59 - 2091*77/(-1309)? 64 Calculate (-5*8/(-100))/(-42 + 13944/415). -1/21 What is the value of 8/(-320) + 23506/(-560)? -42 Calculate 13/52 + (-3451)/(-116). 30 What is ((-312)/(-168))/(2/21) + -3 + 0? 33/2 What is the value of 10 + 63 + -28 + -55? -10 Calculate (-6)/(1792/(-854) - -4 - 2). 61 Evaluate (3/55*-6)/((-6604)/(-260) - 26). 6/11 Calculate 44 + (1*9 - (-11 + 156/13)) + -1. 51 2/(-6) + 87640/291090 -1/31 Evaluate 240/(-64) - (-1 - -5*(-1685)/3500). -12/35 What is ((-22)/(-17))/(52416/663 - 79)? 22 Evaluate (-546)/18*(-41 - (-29460)/780). 98 Calculate 3*7*6/(-63) - -6. 4 Calculate (-1 + 48)*429*(-78)/(-5148)*6/39. 47 What is (5*2/(-30))/((-2808)/81 - -16)? 1/56 What is the value of 969680/(-37260) + (-4)/(-162)? -26 What is (((-6)/(-8))/((-7)/(-24)))/(1203/(-5614))? -12 What is the value of (3 + (-183)/60)*(-23028)/(-909)*-20? 76/3 Evaluate (-2430)/(-63) + (-74)/7 + (136 - 126). 38 430/(-5805) + (-79952)/1026 -78 (-2 - ((-6)/15 + 439/(-15))) + 3306/9918 28 Evaluate ((-4)/55)/((-5316)/9746). 2/15 Calculate 2*(-29)/18 - 458/(-2061). -3 What is the value of 2475/4250 + 368/3128? 7/10 What is 4270/4485 - 2808/3042? 2/69 (209/(-19) - (-3)/(12/134))/((-3)/(-6)) 45 What is 634543/(-8645) + 129/(-15)? -82 Calculate 35 + -34 + 12 + 5/((-35)/(-84)). 25 (28/(-56) - 2/4)/(130/234) -9/5 260/(-650)*15 - 184/(-30) 2/15 What is the value of (-100 - -101)*(-39 + (-18)/6)/(-2)? 21 What is 5/((5/2)/((-19)/(-57)) - (3 - -2))? 2 Calculate 1858441/12115*5/13. 59 What is the value of (-60)/((-2590 - 70)/19)? 3/7 What is the value of (-27813)/1095 + (0 - 3/15*18)? -29 -312*((-6878)/456 - -15) 26 What is (4644/(-90) - -1) + (-266)/190? -52 What is the value of 52/1014 - (60 + (-111935)/(-2379))? -107 Evaluate ((-52)/(-455))/(-2)*7 + (-1166)/110. -11 What is the value of ((-5278)/580)/((-116)/(-1160))? -91 Evaluate ((-805)/(-4508))/((70/48)/7). 6/7 What is ((-46)/(42 - -234))/((-1 + 2)*(-8)/12)? 1/4 Evaluate (29/((-26448)/480))/(-4 + (-3384)/(-855)). 25/2 Calculate (-6460)/337725 - 50/1975 - 322/180. -11/6 Calculate 1148850/138460 - 46/3956. 58/7 What is the value of ((-40183)/36530*25/22)/(2/88)? -55 Calculate (8/232 + 1730/95323)/((-5)/10). -2/19 Calculate 13110/(-7030)*222/(-18). 23 Calculate 227 + -253 - (-70)/(-5). -40 570/(-69) + ((-5)/3)/(870/(-4176)) -6/23 24 - (5 + 582/(-300)*-10) -2/5 Calculate ((-36)/(12 - -6))/(1719/216 + -8). 48 Evaluate (-2)/(((-4)/(-89))/((-200)/(-3700) + (-432)/(-222))). -89 Calculate 102/(-442)*(164/(-410))/((-3)/((-30)/(-4))). -3/13 Calculate (1645/198 - 8) + (126/(-648) - (-1)/4). 4/11 What is ((-1072)/(-41808))/((-1)/12)? -4/13 What is the value of (-2)/(-82) + 222096/1722 + -64? 65 Calculate (-8190)/(-84)*(-20)/(-150) - 2*(5 - 1). 5 What is ((1/(-5))/((-416)/2288))/(((-9)/30)/(-3))? 11 What is the value of (5 - (-2198)/154) + -19? 3/11 What is 1 - -1 - (62/434*-259 - 69)? 108 Evaluate (6/12*244/(-6))/(-264 + 7930/30). -61 Calculate ((-162)/54 - 11/33)*3*6. -60 13780/(-208) + (-11 - -78) 3/4 What is 38 + 51 - 11 - 15? 63 What is the value of (-8)/6*96/(-2176)*4/2? 2/17 Evaluate (57*55/(-3135))/(((-3)/(-5))/(2/10)). -1/3 Evaluate ((-11067)/(-186) + -58)/(-20). -3/40 Calculate (-1)/10*2 + 1638/(-3510)*(-2529)/21. 56 Calculate ((-9)/(-96))/(1576/2016 + 312/(-9828)). 1/8 What is the value of (-206)/(3030/90 + (-9)/(-27)) - -6? -1/17 ((-24)/5)/(27 + ((-52866)/220)/9) -16 Calculate (-1330)/63 + 21 + 1. 8/9 Evaluate 4/7*21/(-6)*(-11)/((-88)/(-20)). 5 (-18)/1 + ((-7128)/4752)/(6/100) -43 What is (-196)/(-245) + 96/(-70) - (-4 - (-2000)/28)? -68 What is (-76)/(34/2*4450/7565)? -38/5 (59/((-2714)/(-161)))/((-154)/(-1)) 1/44 Calculate ((-4756)/328)/(-4 + (-14)/(-4)). 29 What is the value of 1236/30 + (247/(-65))/19? 41 Evaluate ((-93)/18 - 0 - 2511/(-558))/(-6). 1/9 Evaluate (-2)/3*1626/(-2439). 4/9 What is 63 + (1 + (-1)/(-2))/(22/((-5896)/201))? 61 (-29 - -30)/(-180*2/(-16)) 2/45 What is the value of 22670/9068*36/(-5)? -18 -87*9/27*15/(-5) 87 What is -14*(0 + -3 - 0 - (-5705)/1630)? -7 What is (-10)/(-14) + ((-333)/6)/((-47502)/(-348))? 4/13 Evaluate 38 - 1113588/(-18252) - 99. 2/169 Evaluate (-18)/54*(-702)/(-6). -39 What is the value of (-12)/468*(-5 - 0)/5? 1/39 What is the value of (177 - 173)*325/52? 25 Evaluate (-3256)/(-1184) - 25/20. 3/2 What is (-1)/12 - (-82 + (-8071625)/(-98580))? 2/53 Evaluate ((432/66)/(-6))/(-3 + 20*(-78)/(-528)). 24 What is the value of -3 + (-55)/(-18) - 791493/(-369090)? 11/5 Evaluate ((-47)/(-4))/(((-27)/((-270)/20))/8). 47 What is 1860/17050*(-1100)/30? -4 (-369)/(-53) - 856/(-22684) 7 Calculate ((-90)/(-4))/(660/550)*48*6/60.
{ "pile_set_name": "DM Mathematics" }
4.7. Put b, l, -2/19 in ascending order. b, -2/19, l Suppose -2*l = -2*n + 2, -19 = 5*l - 7*l - 5*n. Suppose 0 = -l*k + 3*k - 2. Suppose 15*h + 40 = -35. Put h, k, -3 in decreasing order. k, -3, h Let g = 3 + -3.1. Let i = -228/335 + -8/67. Sort -2/11, i, g in descending order. g, -2/11, i Suppose 3*z + 10 = 5*z. Suppose -i - 4*i + z = 0. Sort i, -2, 2 in ascending order. -2, i, 2 Let t be (-1 + -2)/((-3)/2). Let h(n) = n**2 - 28*n - 284. Let a be h(-8). Suppose -t*s + 8 = -a*s. Sort -0.1, s, -0.07 in decreasing order. -0.07, -0.1, s Let w = 0.0595 - -0.0405. Put 9, w, 1 in increasing order. w, 1, 9 Suppose -c + 5*c = 12. Let u(w) = -8*w - 53. Let k be u(-6). Sort k, -2, c, -3. k, -3, -2, c Let k = -2 - -2.5. Let y be ((-1)/5)/((-24)/(-30)). Let m = 0.8 + -0.8. Put k, y, m in increasing order. y, m, k Let r(i) = -214*i - 852. Let z be r(-4). Let w = 0.7 - 1. Sort -1/7, w, z in descending order. z, -1/7, w Suppose 2*d - 4*d - 2*o = -14, -3*d + 46 = -2*o. Suppose -4*c + 4 = -d. Suppose -3*m + c = 16. Put m, -5, 10 in decreasing order. 10, m, -5 Suppose 0 = -14*z - 41 - 15. Put 25, z, -1 in decreasing order. 25, -1, z Let f = -22 + 38. Let g = -375 + 361. Let u = f + g. Sort -9, -1, u in increasing order. -9, -1, u Let z(k) = -k + 2. Let n be z(8). Let g = 4 + n. Let a(s) = 2*s**3 - 26*s**2 - 2*s + 31. Let u be a(13). Put u, 0.2, g in ascending order. g, 0.2, u Let x = -5 + 14. Let t be x/6*8/(-6). Let p = -9 + 14. Put -3, p, t in descending order. p, t, -3 Let o = 7 - 10. Let g = o + 2. Let b = -2.1 - -2.14. Sort 4, b, g in ascending order. g, b, 4 Let h = 0 + -8. Put 2, h, 12 in decreasing order. 12, 2, h Let q be 52/14 + (-332)/83. Let m(h) = h - 4. Let r be m(0). Put -6, r, q, 0.4 in descending order. 0.4, q, r, -6 Let j = 0.0355 - 5.0355. Put 1/6, j, 1, -0.6 in ascending order. j, -0.6, 1/6, 1 Let i = 75.829 + 0.171. Let y = -75.94 + i. Put 0.2, -0.2, 1/3, y in descending order. 1/3, 0.2, y, -0.2 Let y be (3 - 0)*-1*1. Suppose -5*n - 133 + 2 = -r, -5*n - 143 = 2*r. Put 1/4, y, 0.4, n in decreasing order. 0.4, 1/4, y, n Let d be (3 + -2)/(2/2). Suppose -13 = -4*z - 5*o, -77*o = -5*z - 75*o - 25. Put d, 4, z in descending order. 4, d, z Let i = 16.94 - 16.44. Sort i, -293, -0.5, -0.1. -293, -0.5, -0.1, i Let y be (-5)/(-70) + 3/(-6). Let p = -7 + 10. Let d = -3 + 7. Sort p, d, y. y, p, d Let r = 8.4 + -4.4. Let j = 1.1 + -0.1. Let a = 2 + -7. Put a, j, r in ascending order. a, j, r Let b = 4 - 4. Let h = 19.996 + 0.004. Let o = 15 - h. Put b, o, 0.1 in descending order. 0.1, b, o Let n be (305/122)/(2/(-4)). Suppose -2*z - 3 = 1. Sort n, z, 5. n, z, 5 Let m = 1734 - 1734. Sort 1, -4, -51, m in decreasing order. 1, m, -4, -51 Let t = -201 - -200.8. Let q = 0.9 + 2.1. Put -9, t, q in decreasing order. q, t, -9 Let y(q) = -q**3 - 8*q**2 + 12*q - 4. Let c be y(-9). Let z = c - -277/9. Sort -23, z, -4. -23, -4, z Let m(a) = 11*a - 6. Let z be m(-2). Let i be 12/(-21) + 124/z. Let j be ((-2)/4 + 0)*4. Put i, 3, j in decreasing order. 3, j, i Suppose -4*q - 2 = 6. Let y be 2 + (4 - 4) + 14/(-2). Suppose 8 = 3*i + 2. Put i, q, y in ascending order. y, q, i Let q = -6.02 - -6. Let g = -1.02 - q. Let p(j) = -j**2 - 7*j - 6. Let b be p(-5). Sort b, -3/11, g. g, -3/11, b Let n = -119.507 - -1.807. Let o = n + 105. Let a = o + 13. Put a, 2, -1/5 in decreasing order. 2, a, -1/5 Let k = 40 - 54.5. Let p = k + 14. Sort p, -0.2, 4/7 in decreasing order. 4/7, -0.2, p Let i(m) = 4*m**2 - 4*m - 2. Let q be i(2). Let l(t) = -t**3 + 5*t**2 + 7*t. Let y be l(q). Sort y, 0, -2. -2, 0, y Suppose 12 = 3*n + n - 3*f, f = -4. Suppose -12*l + 2*l + 150 = 0. Suppose n = -3*w - l. Sort w, -3, 1 in descending order. 1, -3, w Let g be (-5)/((30/(-45))/((-6)/(-9))). Sort 11, 3, g, -4 in decreasing order. 11, g, 3, -4 Let b be 22/10 - 20/(-25). Sort -5, 1, b, -1 in decreasing order. b, 1, -1, -5 Let c be ((-422)/1055)/((-2)/5*1). Suppose 3 = -2*j - 3. Sort c, j, 7 in descending order. 7, c, j Suppose -4*o = -7*o + 6. Suppose -2*h + 12 - o = 0. Let k(z) = z + 11. Let l be k(-11). Sort l, 3, h in decreasing order. h, 3, l Let y = -3 + 3.5. Let s = 1913 + -1913.3. Sort y, 2, s, 2/3 in ascending order. s, y, 2/3, 2 Let g = 3682 + -3692. Let k(x) = x**2 - 4*x - 4. Let o be k(5). Let i = 0 + o. Sort g, 4, i in decreasing order. 4, i, g Suppose 25*m = 11*m + 11*m. Sort m, -9, -3, 1 in descending order. 1, m, -3, -9 Let d = 224 - 223. Sort -5, d, -0.2, 3/5 in descending order. d, 3/5, -0.2, -5 Let j = 11 + -19. Let r = -13 - j. Let g = 151 - 153. Sort r, g, 0 in increasing order. r, g, 0 Let r = -11 + 16. Suppose -6*g + g = -40. Suppose -w = 3*b + 8, -b + 0*w - g = 3*w. Sort b, -1/4, r in decreasing order. r, -1/4, b Let l = -0.19 + -0.01. Let c = 6 - 3. Let f = -2.6 + c. Sort f, l, 2/3 in descending order. 2/3, f, l Let d(h) = h**3 + 5*h**2 + 5*h + 4. Let m be d(-4). Suppose 0 = 4*n - 4*f + 8, m = -n - 2*f - 0*f + 10. Sort n, -2, -1 in increasing order. -2, -1, n Let n be -1*(-21)/(-2 + -5). Let d = -69 - -346/5. Sort n, -0.1, d in decreasing order. d, -0.1, n Suppose 5*k - 5 = 2*f, 4*f - 5 = -3*k - 2*k. Sort 4, -4, 9, f in ascending order. -4, f, 4, 9 Let c = -1.97 - 0.03. Let i = 845 + -845.3. Put c, i, 1 in descending order. 1, i, c Let d be 12/(-21) - 45/7. Let m(r) be the first derivative of r**4/4 + 7*r**3/3 + r**2/2 + 6*r + 1. Let f be m(d). Sort 1/4, 1, f in increasing order. f, 1/4, 1 Let j(m) = -m + 4. Let c be j(9). Let b = -21 - -53. Suppose -33*s = -b*s + 2. Sort c, s, -3. c, -3, s Let q = -13.64 + -0.96. Let h = q + 12. Let t = h + 0.6. Sort 0, t, -1/4 in descending order. 0, -1/4, t Let c = -1407 + 1405. Sort 3, 0.2, -6.3, c in descending order. 3, 0.2, c, -6.3 Let v be (-12)/14 - (-1677)/903. Let i(d) = -2*d + 6. Let j be i(4). Sort v, -1, 3, j in descending order. 3, v, -1, j Let f(u) = -14*u + 123. Let m be f(9). Put m, 3, -7, 7 in decreasing order. 7, 3, m, -7 Suppose -b + 6 = -3*b. Let m = b - -5. Suppose -2*q - 5*o = 32 - 16, 0 = 2*q + 3*o + 12. Sort q, m, 4 in descending order. 4, m, q Let d be (3/((-18)/4))/((-20)/(-60)). Sort -1, d, 3, -3 in decreasing order. 3, -1, d, -3 Suppose -z - 4*z = -10. Sort 4, z, -6, -5. -6, -5, z, 4 Suppose -5*c = -y - 13, -c - 4*y - 6 = 4. Sort 0, c, -5, 7 in decreasing order. 7, c, 0, -5 Let t = 0.06 - 0. Let k = 9/38 + -1237/570. Let f = k - -13/5. Sort 1, t, f in decreasing order. 1, f, t Let z = -0.67 - 1.33. Sort 139, z, -5 in increasing order. -5, z, 139 Let t be 1/(3/(-9)*-1). Let d(u) = u**2 + 3*u + 5. Let x be d(-3). Suppose -4*i + x = 1. Sort i, 0, t. 0, i, t Let g = 791 + -737. Put -4, g, -2 in increasing order. -4, -2, g Let p be -84 + 82 - 2*-4. Put p, 7, 4, 1 in increasing order. 1, 4, p, 7 Let m(p) = -6*p + 210. Let y be m(35). Sort y, -3, 4, -129 in increasing order. -129, -3, y, 4 Suppose j - 4 = -6. Let l be 3 + (2 - j - 3). Sort 2, l, -3 in increasing order. -3, 2, l Suppose -43*g = -19*g - 1296. Put -3, 1, g in decreasing order. g, 1, -3 Suppose 0 = 7*d - 12 + 19. Let a be -1 - (5/((-5)/(-3)))/3. Suppose 0 = -4*q - 24 + 8. Sort q, a, d in decreasing order. d, a, q Let i be (21/(-7))/(9/6 - 3). Put i, 3, -76 in increasing order. -76, i, 3 Let m(i) = 12*i**2. Let a be m(-1). Let t(k) = k**3 - k**2 + k - 4. Let b be t(2). Let v be 8/a*(-4 - b). Sort 1/4, 2/17, v. v, 2/17, 1/4 Let i = -154 - -154. Let s(w) = w**3 + 2*w**2 - 4*w - 1. Let y be s(-3). Sort -1, y, i, -4 in ascending order. -4, -1, i, y Let q = 5 + -4.5. Let w = 0.94 + -0.58. Let v = w + 1.64. Sort q, v, 3/7. 3/7, q, v Suppose 4*p - 4 = -4*r, -7*p + 11*p - 4 = -5*r. Sort 2, -3, r, -1 in decreasing order. 2, r, -1, -3 Let w = -19 - -17. Let m = 1.25 - 1.45. Sort m, -5, 2/19, w. -5, w, m, 2/19 Let z be 2/(-7) - 69/(-21). Suppose 3*w - 9 = z. Suppose n - 2*i - 9 = 3*i, 0 = 2*n - 5*i - 8. Put w, n, -4 in increasing order. -4, n, w Suppose 0 = 5*m - 5*b, m - b + 3*b = 6. Let s(z) = z**2 + 2*z - 2. Let q be s(-2). Put q, m, -5 in descending order. m, q, -5 Suppose -5 - 4 = -3*g - a, -5*g + 15 = 5*a. Suppose -3*m - 96 = -3*p, -m - g*p = -0*p + 24. Let i be (-7)/(-35)*m/4. Sort 4, -4, i in decreasing order. 4, i, -4 Let z = -0.1674 + 0.1474. Let y = -4 - -4.08. Let f = y - 4.08. Put f, z, 3/5 in decreasing order. 3/5, z, f Suppose 4*h - 2*d + 6 = 5*h, 2*d +
{ "pile_set_name": "DM Mathematics" }
893*(0 + 7/(-2)). Let q be (-3)/4194*33782/1. Let n = q - u. Find the common denominator of 83/22 and n. 66 Let r = -1/6651 + 139697/172926. Let q be 61212/(-20) - (1 + -4). Let d = 184121/60 + q. Calculate the common denominator of r and d. 156 Let p = -31 - -32. What is the common denominator of -8/11 and 0 + (-276)/(-40) + p? 110 What is the common denominator of 109/12 and 3/(-4) + (-446)/40? 60 Suppose 100 = 4*p + 4*w, -2*p + 43 + 7 = -4*w. Let n = p - 38. Let v = -11 - n. What is the smallest common multiple of 6 and v? 6 Suppose -2*s + 81 = t, -2*t - 4*s = -2*s - 154. Let q = -71 + t. Calculate the smallest common multiple of 36 and q. 36 Suppose -4*f + 38 = q, 7*q + f = 5*q + 48. Calculate the lowest common multiple of q and 118. 1298 Let h be 7/((-7)/6)*76/8. Calculate the least common multiple of h*(-3)/9 + 2 and 24. 168 Let h(o) = -o**2 - 3*o + 8. Suppose 5 = -p + 1. Calculate the smallest common multiple of h(p) and 5. 20 Let m(h) = -4*h - 38. Let x be m(-12). Suppose 7*k - 340 = -x*k. Calculate the lowest common multiple of (-2)/(-7) - (-136)/14 and k. 20 Suppose -4*v + 1 + 15 = 2*r, 10 = 5*r. Let h(g) = -4*g**2 + 113*g + 93. What is the least common multiple of v and h(29)? 6 Let f(z) = -z**3 - 12*z**2 - 12*z + 3. Suppose -5*d = -7*d - 18. Let v = 25 + d. Calculate the lowest common multiple of f(-11) and v. 112 Let g be -3 - (-3 + -2 - -2). Let a = 945/2 + -510. Find the common denominator of a and g + (348/(-27))/(-2). 18 Let m be 1/((-4)/(-4 + -4)). Let p(v) = 5*v**3 - 4*v**2 - 4*v + 5. What is the smallest common multiple of 6 and p(m)? 42 Suppose 4*y = -2*u + 12, -5*u + 0*y + 5*y = -30. Let f = 4 - u. Find the common denominator of (120 + f)*3/(-24) and 1/6. 12 Let v = 8841/4 + -2227. Calculate the common denominator of ((-2)/32)/((70/(-21))/10) and v. 16 Let l = -162056/27 + 6003. Calculate the common denominator of -55/519 and l. 4671 Calculate the common denominator of -25/287 and 11 + 11 + 11528/(-560). 2870 Find the common denominator of 3/26 and 2/9*-2*564/(-520). 390 Let n = -32/3619 - -65431936/47047. Let h = -1388 + n. Calculate the common denominator of h and (-261)/8*(-1)/3. 104 Let k = 30/19 + -177/19. Let b = k - -4756/627. Find the common denominator of 59/12 and b. 132 Suppose p - 2137190 = -4*p. Let v be (-8)/44 - (-77760)/p. Let q = -1651449/155432 - v. What is the common denominator of -73/14 and q? 56 Let k be (-6)/(-4 + 55/15). Calculate the smallest common multiple of 13 and (-1 + -2)/(k/(-48)). 104 Let u be (-3 - 42327/60)*6. Let n = u - -4247. Calculate the common denominator of -47/4 and n. 20 Let m be 16/(-18)*-3*-3. What is the common denominator of (-112)/12*(-6)/(-5) and (0 - (-114)/m) + 2? 20 Let i be 0 + -48 + 4 + -2. Find the common denominator of ((-3)/(-6))/(9/(-213)) and i/32*-6 - -1. 24 Let b = -1922 + 19161/10. Calculate the common denominator of (570/(-80) - 3) + 0 and b. 40 What is the least common multiple of (-11)/((-24)/(-36) - 33/36) and 110? 220 Suppose -321*z + 326*z - 30 = 0. Calculate the lowest common multiple of 88 and z. 264 Let i(x) = -x - 12. Let m be i(10). Let d = -19 - m. Calculate the lowest common multiple of d and 14. 42 Suppose 5*g - w = 311, -5*w + 65 = 2*g - 81. Suppose 2*q = -2*q - 12, g = 4*y + 3*q. Suppose 0 = -4*n - 17 + 81. Calculate the least common multiple of n and y. 144 Suppose 450 = 3*p + 2*p. What is the least common multiple of 2 and p? 90 Let l = 7 + -13. Let r = 6/1669 + -71809/11683. Calculate the common denominator of 9/l*(-17)/12 and r. 56 Let u = 3/3779 + 222877/105812. What is the common denominator of u and -77/74? 1036 Let u be (1394/6)/((0 - -4)/(-12)). Let q = u + 4289/6. What is the common denominator of ((-2)/3)/(56/222) and q? 42 Let n = -81 - -83. Suppose 22 = -n*x + 3*x. What is the smallest common multiple of x and 12? 132 Suppose i + 1 = -2. Let h = i + 7. Calculate the least common multiple of 1 and h. 4 Let w = 7614 + -106541/14. What is the common denominator of w and (-2)/(-24)*(-594)/162? 252 Let q(k) be the third derivative of -k**5/60 - 2*k**4/3 - 4*k**2. Let i be q(-16). Suppose -t + 8 + 2 = i. Calculate the least common multiple of 24 and t. 120 Let y(i) = -i**3 - 13*i**2 - 21*i + 4. Let p be y(-11). Let x = -1 - p. Suppose -d = -x*d + 110. What is the smallest common multiple of 22 and d? 22 Let q = -24197/112 - 885/16. Let o = q - -265. What is the common denominator of o and 9/22? 154 Suppose -8*j + 34 = -6. Suppose 6*w - 28 = 5*w - j*m, 2*w - m = 67. Calculate the lowest common multiple of w and 6. 66 Let x(l) be the first derivative of -l**4/4 + 13*l**3/3 - 21*l**2/2 - 9*l - 29. Suppose 0 = -3*r + 44 - 14. What is the least common multiple of x(11) and r? 10 Let u = -65682/35 + 9373/5. Find the common denominator of -53/7 and u. 35 Calculate the common denominator of (-8)/10 + (-308)/70 and 26/249. 1245 Let b = 25913/7 + -3696. Let l be ((-68)/(-2) + 0)/(-2). Let i = l - -7. Calculate the common denominator of i and b. 7 Let x(f) = -f**3 - 7*f**2 - f + 5. Let l(a) = 9 - 5 + 4 + a + 2*a. Let g be l(-5). Calculate the least common multiple of x(g) and 8. 24 Let n = 24/157 + 15377/3140. Calculate the common denominator of n and (-261)/42 + 2 + -1. 140 Let u(x) = 3*x**2 - 39*x - 257. What is the lowest common multiple of u(-6) and 45? 765 Let v(n) be the first derivative of -n**3/3 + 12*n - 2. Let t = 3 - 3. What is the smallest common multiple of 2 and v(t)? 12 Suppose 240 = 11*y - 9*y. Calculate the common denominator of (y/(-16))/(12/26) and -81/2. 4 Suppose -5729 - 5955 = -4*s. Suppose -5*v = -s - 28834. Let c = -63411/10 + v. Find the common denominator of c and 21/20. 20 Suppose 20*d = 365 + 275. What is the smallest common multiple of d and 72? 288 Let g(n) = -2*n**3 - 54*n**2 + 14*n - 12. Let w(s) = -s**3 - 18*s**2 + 5*s - 4. Let q(z) = 4*g(z) - 11*w(z). What is the lowest common multiple of q(6) and 20? 20 Let q = -7157/284 - -32/71. Let o be (4/(-12))/(2/30). What is the common denominator of 12/o - (-24)/6 and q? 20 Let s(k) = -k**2 - 10*k - 8. Let j be s(-9). Let y be 2 - ((j - 2) + -19). What is the smallest common multiple of 268/y - 8/44 and 16? 48 Let y = -1 - -13. Let b(l) = -3*l**2 - 2*l - 7. Let t be b(4). Let h = 41 - t. Calculate the smallest common multiple of y and h. 312 Suppose -2*g + 14 = -4*x, -2*g = -g + 3*x - 2. Suppose g*c + 20 = 130. What is the least common multiple of 12 and c? 132 Let j(s) = -s**3 - 5*s**2 + 24*s - 1. Let t be j(-8). Find the common denominator of (-2)/4 + (-44)/5 and (-402)/(-24)*t/(-2). 40 Suppose 3*c - 29 = -r - 2*c, 14 = 2*r - c. Let u(j) = j**3 - 5*j**2 - 7*j + 13. Let a be u(r). Find the common denominator of (-18)/27 - a/24 and 99/4. 12 Suppose c = -4 + 6. Let w = 6/2017 + -224019/44374. Find the common denominator of ((-1)/c)/((-4)/(-50)) and w. 44 Suppose 0 = -4*x - 4*w + 16, -2*x + 8 + 20 = -3*w. Suppose -50*c + 55*c - 11 = -t, 4*c - 4 = 0. What is the smallest common multiple of t and x? 24 Let n be 40201/(-221529) - (-4)/22. Let z = -38371/31647 + n. Calculate the common denominator of z and -11/3. 33 Let y be (280/44 + -6)/((-2)/7). Let p = 73/55 - y. Find the common denominator of p and 51/4. 20 Find the common denominator of (((-54)/(-12))/(-3))/((-516)/38) and 95/14. 1204 Find the common denominator of 73/117 and 77/(-18) + 62/6 + -12. 234 What is the common denominator of -37/116 and 2/(-4) - 166/(-8)? 116 Let l = -8 - 4. What is the least common multiple of 10 and (-3)/6*2 - l/2? 10 Let n = -548735332877/37708 + 160074506/11. Let i = 1/3428 + n. Calculate the common denominator of i and (50/32)/(2/12). 88 Let m be 10/6 - (-9)/27. Suppose -m*w + 4 + 2 = 0. Find the common denominator of 2/w*306/(-132) and 34/11. 11 Let z = 103 + -49. What is the common denominator of (-20)/56*(-3)/((-15)/83) and 3/z*59 - -2? 126 Let s(h) = h**3 + h + 1. Let r = 12 - 10. What is the smallest common multiple of s(r) and 3/18*9*6? 99 Let k be (-36)/(-9)*(-2)/23. Let s = k - 89/207. Calculate the common denominator of s and -5/27. 27 Let h be (-273846)/(-14) - 24/(-42). Let l = h - 313075/16. Calculate the common denominator of l and -93/44. 176 Suppose -7 = -v + 28. Let g = -33 + v. What is the smallest common multiple of g and 1 + (1 + 25)/2? 14 Let o = 97 - -41. Find the
{ "pile_set_name": "DM Mathematics" }
e prime factors of 40217838? 2, 3, 29, 181, 1277 List the prime factors of 114870844. 2, 11, 2610701 List the prime factors of 112849203. 3, 37616401 List the prime factors of 1064265482. 2, 7, 59, 101, 12757 What are the prime factors of 30102195? 3, 5, 2006813 List the prime factors of 2861600479. 619, 4622941 What are the prime factors of 22089889? 89, 248201 What are the prime factors of 96002343? 3, 10666927 List the prime factors of 4522460. 2, 5, 226123 List the prime factors of 5253342671. 5253342671 What are the prime factors of 2454974756? 2, 13, 47211053 List the prime factors of 78377576. 2, 47, 149, 1399 What are the prime factors of 40374543? 3, 11, 1223471 List the prime factors of 111728166. 2, 3, 11, 409, 4139 List the prime factors of 222602370. 2, 3, 5, 7420079 List the prime factors of 46975744. 2, 183499 What are the prime factors of 7531808368? 2, 7, 71, 383, 2473 List the prime factors of 47501743. 47501743 List the prime factors of 2360184388. 2, 211, 2796427 List the prime factors of 32873488. 2, 2054593 List the prime factors of 578978840. 2, 5, 11, 1315861 List the prime factors of 68623221. 3, 22874407 List the prime factors of 87818012. 2, 499, 43997 List the prime factors of 2882751272. 2, 557, 646937 List the prime factors of 194746541. 11, 17704231 List the prime factors of 1380884360. 2, 5, 34522109 List the prime factors of 17900741. 17900741 What are the prime factors of 24420805? 5, 71, 68791 What are the prime factors of 2742088547? 11, 1979, 125963 List the prime factors of 133683358. 2, 67, 997637 List the prime factors of 137073441. 3, 1097, 41651 What are the prime factors of 2292318141? 3, 71, 739, 14563 What are the prime factors of 28094239? 67, 419317 List the prime factors of 56823503. 11, 17, 277, 1097 List the prime factors of 877302505. 5, 79, 2221019 List the prime factors of 34147995. 3, 5, 7, 325219 List the prime factors of 331179348. 2, 3, 19, 1452541 What are the prime factors of 2598972172? 2, 17, 31, 1232909 List the prime factors of 1122506110. 2, 5, 11, 83, 11177 List the prime factors of 269044733. 269044733 List the prime factors of 18689594. 2, 7, 11, 157, 773 What are the prime factors of 5942361525? 3, 5, 8681, 9127 What are the prime factors of 105768804? 2, 3, 109, 80863 What are the prime factors of 237414903? 3, 11, 37, 194443 What are the prime factors of 82267473? 3, 19, 829, 1741 What are the prime factors of 2437184951? 2437184951 What are the prime factors of 195710830? 2, 5, 7, 19, 147151 What are the prime factors of 109160847? 3, 367, 33049 List the prime factors of 73638080. 2, 5, 359, 641 List the prime factors of 77040900. 2, 3, 5, 85601 What are the prime factors of 307913347? 7, 101, 457, 953 What are the prime factors of 233820438? 2, 3, 23, 1694351 What are the prime factors of 3048840959? 37, 82401107 What are the prime factors of 2987285848? 2, 373410731 What are the prime factors of 102988248? 2, 3, 11, 390107 List the prime factors of 33451178. 2, 859, 19471 What are the prime factors of 14527877? 7, 13, 17, 9391 List the prime factors of 1610074999. 13, 9527071 What are the prime factors of 1348207135? 5, 11, 937, 26161 List the prime factors of 1598476116. 2, 3, 133206343 What are the prime factors of 298233213? 3, 99411071 What are the prime factors of 2816861474? 2, 7, 23, 8748017 What are the prime factors of 297727860? 2, 3, 5, 4962131 What are the prime factors of 29224100? 2, 5, 292241 What are the prime factors of 14207321? 653, 21757 List the prime factors of 93889054. 2, 7, 37, 181253 List the prime factors of 92656057. 13, 2141, 3329 What are the prime factors of 509775080? 2, 5, 12744377 List the prime factors of 4993025321. 4993025321 What are the prime factors of 145358486? 2, 7, 13, 61, 13093 What are the prime factors of 2156224795? 5, 431244959 List the prime factors of 64020036. 2, 3, 5335003 What are the prime factors of 309066592? 2, 9658331 List the prime factors of 2921972362. 2, 37, 53, 14057 What are the prime factors of 503139127? 1609, 312703 List the prime factors of 3336694895. 5, 667338979 What are the prime factors of 61346730? 2, 3, 5, 1427, 1433 What are the prime factors of 2101574778? 2, 3, 9293, 37691 List the prime factors of 283632805. 5, 2221, 25541 What are the prime factors of 802882831? 17107, 46933 List the prime factors of 538060710. 2, 3, 5, 11, 17, 95911 What are the prime factors of 1640649423? 3, 7, 78126163 What are the prime factors of 24890717? 2179, 11423 List the prime factors of 1057536531. 3, 117504059 What are the prime factors of 42719554? 2, 43, 317, 1567 List the prime factors of 2455546884. 2, 3, 7, 23, 37, 34351 List the prime factors of 84166650. 2, 3, 5, 53, 3529 List the prime factors of 563607269. 563607269 What are the prime factors of 147977742? 2, 3, 11, 1279, 1753 List the prime factors of 15976511. 19, 41, 20509 What are the prime factors of 706624819? 31, 22794349 What are the prime factors of 3181061300? 2, 5, 31810613 List the prime factors of 385613219. 385613219 List the prime factors of 134889252. 2, 3, 11240771 What are the prime factors of 58753084? 2, 13, 149, 7583 List the prime factors of 4661716478. 2, 503, 4633913 List the prime factors of 339022371. 3, 5167, 21871 List the prime factors of 7054746. 2, 3, 1175791 List the prime factors of 21849788. 2, 5462447 List the prime factors of 1048944836. 2, 53, 4947853 What are the prime factors of 626466444? 2, 3, 52205537 What are the prime factors of 544569016? 2, 3779, 18013 List the prime factors of 4317452248. 2, 539681531 List the prime factors of 98183379. 3, 7, 137, 34127 What are the prime factors of 4725440485? 5, 109, 8670533 What are the prime factors of 174857615? 5, 23, 1520501 What are the prime factors of 88045394? 2, 31, 887, 1601 What are the prime factors of 637238589? 3, 13, 16339451 List the prime factors of 7284581311. 7, 17, 29, 2110861 List the prime factors of 364870356. 2, 3, 191, 159193 List the prime factors of 3145000551. 3, 7, 11, 263, 51767 List the prime factors of 590467124. 2, 13, 11355137 What are the prime factors of 47352113? 4229, 11197 What are the prime factors of 5857407? 3, 401, 541 What are the prime factors of 70758740? 2, 5, 13, 31, 8779 What are the prime factors of 242181762? 2, 3, 17, 43, 55217 List the prime factors of 6700843741. 6700843741 What are the prime factors of 82113055? 5, 3187, 5153 What are the prime factors of 2934445536? 2, 3, 11, 28069 List the prime factors of 32359654. 2, 16179827 What are the prime factors of 6173636083? 131, 47126993 List the prime factors of 1239962590. 2, 5, 41, 251, 12049 List the prime factors of 89676187. 89676187 What are the prime factors of 85939060? 2, 5, 607, 7079 What are the prime factors of 154881191? 173, 617, 1451 List the prime factors of 989777769. 3, 157, 2101439 List the prime factors of 366344646. 2, 3, 29, 79, 919 List the prime factors of 557174195. 5, 23, 179, 27067 List the prime factors of 727827. 3, 37, 79, 83 List the prime factors of 4887890695. 5, 19, 29, 59, 30071 What are the prime factors of 1456883163? 3, 161875907 What are the prime factors of 204853603? 204853603 List the prime factors of 469580855. 5, 43, 337, 6481 List the prime factors of 2696028552. 2, 3, 7, 101, 52963 What are the prime factors of 362091138? 2, 3, 60348523 List the prime factors of 12042826. 2, 503, 11971 What are the prime factors of 376617874? 2, 188308937 List the prime factors of 143725248. 2, 3, 47, 5309 What are the prime factors of 55046135? 5, 19, 579433 List the prime factors of 2091220296. 2, 3, 11, 7921289 What are the prime factors of 19528855? 5, 101, 38671 List the prime factors of 37413729. 3, 59, 70459 What are the prime factors of 370370920? 2, 5, 3019, 3067 What are the prime factors of 1081499040? 2, 3, 5, 83449 List the prime factors of 244857013. 197, 1242929 What are the prime factors of 102668476? 2, 19, 887, 1523 What are the prime factors of 223659898? 2, 7, 11, 137, 10601 List the prime factors of 501382521. 3, 947, 19609 What are the prime factors of 156547422? 2, 3, 19, 397, 1153 What are the prime factors of 106416847? 37, 2876131 List the prime factors of 4057216365. 3, 5, 2803, 96497 What are the prime facto
{ "pile_set_name": "DM Mathematics" }
= 0 for f. 50 Solve -86073 = 2555*n - 96293 for n. 4 Solve -568*k + 72675 = 857*k for k. 51 Solve 0 = -333*b + 19515 - 5862 for b. 41 Solve -33*v + 331353 = 46*v + 328272 for v. 39 Solve 1034*p - 22311 = -90555 for p. -66 Solve 2635 + 2047 = -248*a - 80*a - 18278 for a. -70 Solve -237*u + 238*u - 416*u - 55143 = 142*u for u. -99 Solve 18653758*q - 18653705*q - 2120 = 0 for q. 40 Solve 250 = 51*i + 148 for i. 2 Solve 2102 + 1990 = 173*u + 3400 for u. 4 Solve 9773*b - 307405 = 70138 + 32923 for b. 42 Solve 2968989*y - 2968988*y = -55 for y. -55 Solve 1366*p = -1272*p - 2875*p + 606430 for p. 110 Solve -7263 - 4143 = -113*l - 17282 for l. -52 Solve -168*v - 690*v + 36120 = 2*v for v. 42 Solve 919 - 556 = -781*m - 10571 for m. -14 Solve 6075 = -1813*k + 11623 + 10769 for k. 9 Solve 62*k = -120*k + 6188 for k. 34 Solve 27120*s = 20586*s - 58806 for s. -9 Solve -152231 + 542682 = -11124*d - 199121 for d. -53 Solve -45*i = -133*i + 442 - 10034 for i. -109 Solve 0 = 166*m + 145101 - 150579 for m. 33 Solve 601*o = 774*o + 7093 for o. -41 Solve -777 + 7041 = -348*o for o. -18 Solve 0 = 127*x - 78*x - 510 + 3450 for x. -60 Solve -114988 = -338*d - 1353*d for d. 68 Solve -2945*m + 2314*m = 3711*m - 295256 for m. 68 Solve -51*y + 136 = 172 + 644 + 748 for y. -28 Solve 37414 = -3575*b - 162786 for b. -56 Solve -39942 - 27140 = -1027*p - 946*p for p. 34 Solve 7*a - 40*a - 3646 - 914 = 15*a for a. -95 Solve -129*y = 93*y + 470*y + 72*y + 71052 for y. -93 Solve -992 = 124*z - 4234 - 3206 for z. 52 Solve -230*y = -139*y + 297*y + 12001 + 2743 for y. -38 Solve -63325 = -695*k - 21625 for k. 60 Solve 5451 = -384*p - 7605 for p. -34 Solve 233*i = 482*i - 62*i + 6919 for i. -37 Solve 402*t - 2018 - 7879 = 286*t + 3415*t for t. -3 Solve -3742*d + 3707*d - 385 = 0 for d. -11 Solve 119*k + 392 + 885 + 43 = 79*k for k. -33 Solve -53776 = -76*w - 48760 for w. 66 Solve -284*o - 5827 = 448*o - 703 for o. -7 Solve -1430*y + 1046*y = 13056 for y. -34 Solve -960 = 69*l + 40*l - 129*l for l. 48 Solve 51 + 63 = -83*f + 31 for f. -1 Solve -116384 = 7227*b + 201604 for b. -44 Solve 554*x - 3456 = -310*x for x. 4 Solve 10119 = -93*h - 91*h + 12*h - 2609 for h. -74 Solve -13*r = 309 - 272 + 548 for r. -45 Solve -1154 = -10*x - 704 for x. 45 Solve 129*a + 2190 + 1336 - 559 = 0 for a. -23 Solve 0 = -531*g + 1096*g - 541*g + 672 for g. -28 Solve 51706 = 1668*p - 66876 + 36850 for p. 49 Solve -36125*a + 108 = -36179*a for a. -2 Solve -988*b = -123*b - 35111 - 1219 for b. 42 Solve 84*w + 112*w = 44*w - 3800 for w. -25 Solve 11812*i = 12264*i + 16272 for i. -36 Solve 53351*t - 52671*t = 81600 for t. 120 Solve -261*v = -2197 + 109 for v. 8 Solve -929 = 36*v - 2693 for v. 49 Solve 18211 - 9511 = 348*o for o. 25 Solve 603021*h = 603077*h - 3528 for h. 63 Solve 112733 = -3939*d + 4521 - 57226 for d. -42 Solve 1231*s - 436*s = -48495 for s. -61 Solve 1503*c - 9585 - 16134 = 2278*c + 26206 for c. -67 Solve -52*a - 83 = -377*a - 1424 - 284 for a. -5 Solve -2743 - 630 = 142*k + 1945 + 4480 for k. -69 Solve 19740 + 17744 = -377*m - 593 for m. -101 Solve 315*m - 200 = 1375 for m. 5 Solve 7811 = 231*i - 8695 + 5880 for i. 46 Solve -933*s - 20906 = 37873 for s. -63 Solve -163*l - 245*l = -3081 - 16911 for l. 49 Solve -254*s - 635 = 174*s - 2691 - 9072 for s. 26 Solve -331*q = 230*q - 28490 + 4367 for q. 43 Solve -175465*n = -175390*n - 7350 for n. 98 Solve 19*s + 168*s - 3822 = -107*s for s. 13 Solve -203*m - 25985 = 105*m - 7813 for m. -59 Solve -302*i + 127*i + 141*i = -1904 for i. 56 Solve -12011*p - 506495 = 154110 for p. -55 Solve -56*t = 200*t + 248*t + 34766 - 10574 for t. -48 Solve -13152 - 9774 - 12582 = 549*q - 4215 for q. -57 Solve 42704 = 6*x + 11*x + 42126 for x. 34 Solve -390*j - 8121*j - 768920 - 150268 = 0 for j. -108 Solve -148*q + 87007619 = 87021235 for q. -92 Solve 111*m - 162*m = 211*m + 364*m + 9390 for m. -15 Solve -3696*m - 250563 = -687*m - 36924 for m. -71 Solve -1285*a - 6343 - 19357 = 0 for a. -20 Solve 1207*b - 947*b - 4242 = 10318 for b. 56 Solve 5*m - 21003 = -21138 for m. -27 Solve 4888 = 17*i - 25*i + 196*i for i. 26 Solve -88*s + 33*s = -23*s + 846 - 2862 for s. 63 Solve 548*a - 1661*a = -551*a - 556*a - 342 for a. 57 Solve 47*n + 13311 = 27*n - 133*n for n. -87 Solve -2276*r - 31*r + 12864 = -44811 for r. 25 Solve -361028 = -5305*m - 37423 for m. 61 Solve -19239 - 1648 = 6406*x + 4737 for x. -4 Solve 146*r = 422*r - 134*r - 98*r - 176 for r. 4 Solve 349*p - 21963 = -58259 for p. -104 Solve -258*k + 25*k + 31*k = -2318 + 21710 for k. -96 Solve 371*m - 218*m + 526*m + 73160 = -561*m for m. -59 Solve 5455 + 838 = -702*i + 536*i - 3833 for i. -61 Solve 29776 = 313*w + 405*w + 484*w - 18304 for w. 40 Solve -25569649*l = -25569559*l + 2430 for l. -27 Solve -7*z = -145507 + 145451 for z. 8 Solve 0 = 1029*h - 349*h + 857*h + 66793 + 22353 for h. -58 Solve -4214 = 32*f - 253*f - 46*f - 1277 for f. 11 Solve -5437*b + 1254456 = 4519*b for b. 126 Solve 133*v + 2984 - 1233 + 5198 = -3159 for v. -76 Solve 786*w - 3076*w - 45800 = 0 for w. -20 Solve -13359 - 5698 = 1518*u + 9847 + 7528 for u. -24 Solve -659*g - 35018 - 8882 = 1280*g + 35599 for g. -41 Solve -2901*n + 347*n + 34675 = 20364 - 31661 for n. 18 Solve -40*m - 591 = -11*m + 14 - 25 for m. -20 Solve -100*x + 493*x + 2450*x = -150*x - 191552 for x. -64 Solve 17*m + 3107715 = 3107375 for m. -20 Solve 31788 = 798*o + 270*o + 26352 - 57576 for o. 59 Solve -509 = 397*j - 5355 - 5476 for j. 26 Solve -49389 = 1532*r - 174*r + 7647 for r. -42 Solve 380*m + 1236*m + 69488 = 0 for m. -43 Solve -7756 + 3364 = 1318*f + 6063 + 1407 for f. -9 Solve 7537*f - 185947 = 1207*f + 98903 for f. 45 Solve -3190*s + 6515 = -3470*s - 17005 for s. -84 Solve -4003167*a + 4003206*a = -1482 for a. -38 Solve 16096*k + 580 = 16038*k for k. -10 Solve 5957 = -164*k - 6865 + 4622 for k. -50 Solve -441*x + 362*x = 5207 + 1903 for x. -90 Solve 0 = 274*t + 636 + 3470 + 3840 for t. -29 Solve -72162244*i = -72162181*i + 1323 for i. -21 Solve 216*l - 53*l = -12*l + 2625 for l. 15 Solve -14*r = 21*r - 54*r + 1178 for r. 62 Solve 1490*k = 4636 + 43044 for k. 32 Solve 3881*z + 14813 = -199757 - 72624 for z. -74 Solve 0 = 13824*l - 13742*l - 2624 for l. 32 Solve -367*d - 637 + 1442 = -5434 for d. 17 Solve -7325 = 269*l - 55*l + 13005 for l. -95 Solve 147462*j = 147277*j + 17205 for j. 93 Solve 24082 - 3677 = -385*g for g. -53 Solve 115*l - 65*l = -30*l - 1124 - 2956 for l. -51 Solve 306*k = 160*k + 995*k + 63675 for k. -75 Solve 2197*n - 82045 = 37608 + 62698 for n. 83 Solve -226*b = -158*b + 540*b - 4881 - 591 for b. 9 Solve -135 + 351 = -200*n + 2616 for n. 12 Solve 2298 + 20277 = -3895*h + 4196*h for h. 75 Solve 388534 - 389854 = 24*g for g. -55 Solve -431*g + 10049 - 3734 = -6615 for g. 30 Solve -56*k + 11896 = 17*k + 4669 for k. 99 Solve 8*f + 12*f = 63*f + 70*f - 1469 for f. 13 Solve 2231*p - 16465 = -2322*p + 4738*p for p. -89 Solve 7 + 86 = 4*h + 41 for h. 13 Solve -890*z - 1566*z = -95784 for z. 39 Solve 1324*n - 1288*n + 252 = 0 for n. -7 Solve 118*y + 264092 = 258310 for y. -49 Solve 332*c + 270 = 10595 + 13579 + 1992 for c. 78 Solve 32*q = -65*q - 3983 + 4662 for q. 7 Solve 173*g = -18777 + 28811 for g. 58 Solve 687*i = 2403*i - 99528 for i. 58 Solve 5199 = 8*x + 5007 for x. 24 Solve -32844 = 721*j - 270*j + 981 for j. -75 Solve 9639*h = 411198 + 514146 for h. 96 Solve 806*m + 4340 = 20460 for m. 20 Solve 1050*t = -528*t + 29698 + 16125 - 9529 for t. 23 Solve 1374*l - 488*l - 651*l + 5640 = 0 for l. -24 Solve -2815*j + 80026 = 15946*j - 45957 - 136671 for j. 14 Solve -17*r + 21889 - 21158 = -0*r for r. 43 Solve 2594*h - 3567 - 3624 - 13085 = -2475*h for h. 4 Solve 1085*d - 1388 = -30502 - 47921 for d. -71 Solve -545*w + 5440 = -226*w - 138*w - 4334 for w. 54 Solve -1249740*h + 1249988*h = 19592 for h. 79 Solve -106*x = 112*x + 23*x - 3374 for x. 14 Solve 8981*w - 9005*w + 48 = 0 for w. 2 Solve -61*r + 429 + 1463 - 489 + 671 = 0 for r. 34 Solve 427*l - 77180 = -2407*l + 564*l for l. 34 Solve -742 - 34 + 276 = -25*s for s. 20 Solve 2*j + 358*j + 89749 - 29605 = -356*j for j. -84 Solve 0 = -109*r - 69443 + 77727 for r. 76 Solve -143*s + 131040 = 90*s + 1327*s for s. 84 Solve -1081*r + 7640 = -7494 for r. 14 Solve 1997*g + 15493 + 37098 = -115157 fo
{ "pile_set_name": "DM Mathematics" }
+ p*y**3 and give p. -6 Rearrange (-2*y + 5*y + 0*y)*(-10 + 1 + 3) + (-6*y + 4*y + 3*y)*(-2 + 0 + 0) to the form p*y + c and give p. -20 Rearrange -2 - 7*h + 7*h - 16*h**2 to the form i*h**2 + y*h + g and give i. -16 Rearrange -2*v - 5 + 3*v + 5*v to the form m*v + j and give j. -5 Express 5*r**3 + 6*r - r**3 - 2*r**3 - r**2 - 3*r**3 in the form o*r + b*r**3 + i + g*r**2 and give b. -1 Express 1 - s - 3 - 28*s**3 + 14*s**3 + 2*s**2 + 12*s**3 + 2*s**4 in the form l*s**3 + t*s + n + m*s**4 + k*s**2 and give l. -2 Rearrange (-49*x - 42*x + 41*x)*(-1 + 1 - 2*x**2)*(0*x + 3*x - x) to n*x + c + j*x**4 + q*x**3 + w*x**2 and give j. 200 Express v**4 + 3*v**4 + 3*v**4 + (v**4 + 0*v**4 + v**4)*(1 + 1 - 3) - 2*v**4 + 2*v - 2*v + 0 + 2*v**4 + 0 as p + t*v**3 + k*v + b*v**4 + s*v**2 and give b. 5 Express 0*b**2 + 3 + b**3 + 0*b**4 - b**2 + 2*b**4 - b**2 in the form a + j*b**2 + t*b + o*b**4 + w*b**3 and give j. -2 Express (-3 + 0 - 6)*(-1 + 3 + 0)*(i - 5*i + 2*i) + 0*i + 4*i - 3*i in the form t*i + s and give t. 37 Express 10*n - 10*n + 3 - 4*n + (6*n - 2*n - 2*n)*(0 - 2 + 0) as v*n + l and give l. 3 Rearrange (s + 2*s - s)*(-5 + 5 - 2*s**2)*(-5 + 4 - 2)*(0 + 0 - 1) to a*s**3 + g*s**2 + m*s + w and give a. -12 Rearrange (-p + p + p**2)*(4*p**2 + p**2 - 6*p**2)*(4 - 2 + 0) to the form u*p**4 + t + a*p**3 + x*p**2 + f*p and give x. 0 Express 136*d**2 - 136*d**2 + 0 - 4*d**3 + 6 as v + b*d**3 + w*d**2 + j*d and give v. 6 Rearrange -g**2 + 2*g + 2*g**4 - 7*g**3 - g + 13*g**3 to q*g**3 + a*g + t + d*g**2 + h*g**4 and give d. -1 Rearrange -93*p + 42 + 90*p - 11 + 9 to b + a*p and give b. 40 Express 0*s**3 + 3*s**4 - s + 0*s**3 + 14*s**4 - 2 in the form j + t*s + v*s**3 + c*s**4 + p*s**2 and give c. 17 Express 26*v - v**2 - 3*v + 32 - 32 in the form d*v**2 + t*v + h and give d. -1 Express -6 + 6 - 22*q**2 in the form n*q + a*q**2 + g and give a. -22 Express -3*n**3 + n**3 - 79*n + 93*n - 3*n**2 in the form i*n**3 + g*n + s*n**2 + b and give g. 14 Express (g + 2*g - g)*(-3 + 3 + 2*g**2) + g**3 + g**3 - 3*g**3 + 0*g**3 + 3*g**3 - g**3 + 2*g**3 - 4*g + 4*g in the form i*g**2 + f + n*g**3 + b*g and give n. 7 Rearrange 3*d + 5*d + 2*d to z + h*d and give z. 0 Express -g - 49*g**3 + 102*g**3 + 1 - 2*g**4 - 54*g**3 + 7*g in the form x + h*g**4 + w*g + p*g**3 + o*g**2 and give x. 1 Rearrange 6*c**3 + 0*c**4 - 2*c**2 - c**3 - c - 2 - 2*c**3 - 2*c**4 to y*c**3 + f*c + g*c**4 + p*c**2 + z and give y. 3 Rearrange (-5*h + 0*h + 4*h)*(-1 + 1 + 1) + 4*h - 6*h + h + 17*h - 15*h + 24*h to the form o + x*h and give x. 24 Express (-38 - 13 + 14)*(-3*w + 4*w - 3*w) + 0 + 0 - w as u*w + x and give u. 73 Express -12*t + 17*t + 2*t as q + h*t and give h. 7 Rearrange 2*t**2 + t**2 - 3*t - 7 - 2*t**2 - 6*t**2 to the form q*t**2 + y + i*t and give y. -7 Rearrange 1 - 11*c**4 + 4*c - 4*c**2 - 2*c**2 - 3*c**4 + 13*c**4 to the form o*c**2 + d*c**3 + z*c + l + y*c**4 and give l. 1 Rearrange 10*t**3 - 19*t**4 + t**2 + t + 8*t**4 + 13*t**4 to y*t**2 + g*t + v*t**4 + u + b*t**3 and give g. 1 Express -9*q + q - 3*q**2 + 6*q + q**3 as m*q**3 + c*q + n + v*q**2 and give v. -3 Express -3*w**2 + 2*w**2 + 0*w**2 + (7*w + w + 8*w)*(-3*w + 5*w + 0*w) in the form r*w**2 + j + x*w and give x. 0 Express (2*q - 2*q - 6*q)*(-2 + 0 + 1)*(2*q + q - 5*q + (1 + 4 - 3)*(2 - q - 2)) as c + k*q + z*q**2 and give z. -24 Rearrange 0 + b**4 + 2*b - 1 + 0 - 2 - b**3 to w*b**4 + s*b + y + r*b**2 + o*b**3 and give o. -1 Rearrange -k**2 + 14*k + 2*k**2 - 2*k**2 to the form r*k**2 + g + d*k and give r. -1 Rearrange -4*r**2 - 13 - 3*r**2 + 12 - 3*r**2 to g + p*r**2 + l*r and give g. -1 Express -3 - 1 - 2*q**2 - 7 in the form x*q + d + h*q**2 and give h. -2 Rearrange -5*y**2 + 8*y - 6*y**2 + 14*y**2 + 6*y to the form i + c*y**2 + u*y and give c. 3 Rearrange 6 - 3*v**2 - 2*v**2 + 2*v**3 + 4*v**2 - v**2 to x*v**3 + q*v + f + c*v**2 and give c. -2 Rearrange 2 - 4*b**2 - 2*b + b**4 - 8*b**4 - 3 + 3*b**2 to the form w + o*b**4 + u*b + s*b**3 + v*b**2 and give s. 0 Rearrange (-5 + 3 + 0*w + 2*w**2 - w)*(-7*w**2 + 3*w**2 - 10*w**2) to the form p*w**4 + y*w**2 + h*w**3 + d*w + i and give y. 28 Rearrange 13*o**2 + 4*o + 1 - 2*o**4 - 6*o**2 - 7*o**2 to q*o**2 + v*o**4 + s*o**3 + y + f*o and give v. -2 Rearrange 3*b**2 + 2*b**3 - 3*b**3 + 3*b**4 - b**2 to m*b + t*b**2 + l + f*b**3 + w*b**4 and give t. 2 Express -8*g + 8*g + 4 + 3*g**3 as x*g**2 + n*g**3 + u*g + k and give n. 3 Rearrange (-5*t + 2*t + 4*t)*(4 + 0 - 2) + 4 - 4 - t + 0 + 0 - 3*t - t + t - t to the form a + m*t and give m. -3 Rearrange 16*z - 4 + 4 - 41*z to the form a + i*z and give i. -25 Rearrange -408 + 408 + 85*v**2 to m*v + y*v**2 + u and give y. 85 Rearrange (2*g + 2*g - 2*g)*((4 + g - 4)*(0 + 2*g + 0) - 11*g**2 + 5*g + 0*g + 13*g**2) + 2*g**3 - 6*g**3 + 2*g**3 to t + i*g**2 + q*g**3 + r*g and give q. 6 Express c**3 + 1458 - 1458 - 7*c**2 + (2*c**2 - 4*c**2 + 0*c**2)*(-7*c + 2*c + 4*c) in the form p + a*c + i*c**2 + g*c**3 and give g. 3 Rearrange -2*a**2 - 6 + 20*a + 6 to p*a**2 + u + s*a and give u. 0 Express 6 + 4*b + b**2 + 13*b - 12*b in the form c*b**2 + s*b + x and give s. 5 Rearrange -t**2 - 38*t + 38*t - 28 to the form n*t + p*t**2 + v and give p. -1 Rearrange -15*o**3 - 2 - 7*o + 8*o**3 + 5*o**3 + o**2 to t*o**3 + j*o**2 + s + h*o and give s. -2 Express 3*n + 2 + 4*n - 4 + (0 + 3 - 4)*(-3*n + 0*n - 2*n) - 1 - 2*n + 1 in the form w + o*n and give o. 10 Express (4 - 4 + 2*k)*(-2 - 2 + 5) - 12*k - 9*k + 6*k in the form v + l*k and give l. -13 Rearrange -z**2 - 18*z**2 + 7 - 7 to the form n*z**2 + w*z + d and give n. -19 Rearrange 115*y**4 + 15*y**2 - 2*y**3 - 114*y**4 - y**3 + 2*y**3 to the form c*y**2 + v*y + k + z*y**3 + g*y**4 and give z. -1 Express -a**3 - 3*a**3 - 2*a**3 + 3*a**2 + 2 - 3*a**3 in the form x*a**2 + y*a**3 + s*a + h and give h. 2 Rearrange (-2*o + 0*o + 0*o)*(o + o - 4*o)*(10 - 3 - 2) to t*o + i + h*o**2 and give h. 20 Rearrange 3*j**4 - 5*j**4 - 2*j**4 + (-4*j + 31 - 31)*(2*j + 0 + 0)*(2*j + 2 - 2*j**2 - 2) to the form a*j + k*j**4 + l*j**3 + q*j**2 + z and give l. -16 Express (-21 + 4 + 36)*(r + 0*r - 3*r) as j + k*r and give k. -38 Rearrange -75 + 37 + 39 + 13*a**4 + (-4*a + 2*a + 3*a)*(0*a**2 + 0*a**2 + 2*a**3) to n + m*a + b*a**4 + q*a**3 + k*a**2 and give n. 1 Rearrange (2*x - 2 + 2)*(28 + 20 - 17) + 3*x - 2*x - 5*x to the form r + j*x and give j. 58 Express 2 + 0*v**4 + 5*v**2 + 4*v**2 - v + 2*v**4 - 10*v**2 as i + p*v**3 + s*v**2 + r*v + z*v**4 and give z. 2 Express -4*y + 2*y**4 + 20*y**3 - 18*y**3 + 4*y + 3*y**2 as u*y**4 + m + h*y**2 + c*y + t*y**3 and give h. 3 Express (18*o**2 + 23*o**2 - 11*o**2)*(-4 + 5 - 2) as s*o**2 + n + c*o and give s. -30 Rearrange (-3*b + 14*b - 3*b)*(6 - 1 - 1) to q + y*b and give y. 32 Express -n**4 - n**4 + 0*n**4 + (55 + 13*n**2 - 55)*(5*n**2 + 0*n**2 - 3*n**2) + 0*n**2 + 0*n**2 + n**4 as i*n**2 + l*n + c*n**3 + r + t*n**4 and give t. 25 Express 2*d + 5*d - 5*d in the form n + l*d and give l. 2 Rearrange 5 + 0 - 6 + 4 + 6*d to k*d + g and give k. 6 Rearrange -1 - 6*o**2 + 89*o - 89*o to the form g*o + x*o**2 + u and give x. -6 Rearrange -11 + 12*s + 6 + 6 + (-2 + 0 + 1)*(2*s - 2*s - 2*s) to the form y*s + k and give y. 14 Rearrange -o + 0*o + 0*o + 2*o to the form s + k*o and give k. 1 Express (-2*u**2 + 8*u**2 + 4*u**2)*(-6*u**2 + u**2 + 2*u**2) - 4*u**4 + 4*u**4 - u**4 in the form w*u**3 + j + z*u**2 + d*u**4 + q*u and give d. -31 Rearrange -52 + 4*o + 52 to x*o + u and give x. 4 Express 38 - 83 + 3*l**2 + l + 56 in the form u + n*l**2 + m*l and give n. 3 Express -2*c - 10*c**3 + 8*c**3 + c as u*c + a*c**2 + d + b*c**3 and give b. -2 Express -5 + 30*x - 3 + 3 + 0 in the form n*x + t and give t. -5 Express 2 - 5 - 59*n + 3 as d + p*n and give p. -59 Express ((-1 + 1 - 2*n)*(2 - 1 + 0) - n + 4*n - 4*n - 2*n - n + 5*n)*(2 - 4 + 3) as o + t*n and give t. -1 Rearrange -1 - 5*k**4 - 2*k**3 + k**2 - k**4 + 9*k**4 to g*k**3 + t*k + m*k**4 + h*k**2 + o and give h. 1 Express -12*b - 3*b**3 + 4*b**3 + b in the form s*b**3 + q + d*b**2 + c*b and give s. 1 Express 11*w**3 - 1 - w**2 + w**3 + 3*w**2 + 0 in the form d*w**2 + y + l*w + v*w**3 and give y. -1 Rearrange w**3 + 2*w**4 + 0*w**4 + w**4 - 1 to the form g*w**4 + m*w**3 + b*w**2 + o + l*w and give o. -1 Express 10*f**3 - 4*f**3 - f**3 + 0*f**2 - 6*f**
{ "pile_set_name": "DM Mathematics" }
What is 101116573.4919 less than 5.1? -101116568.3919 Put together 3 and 79333999898543. 79333999898546 Put together -27027317 and -2599233. -29626550 Calculate -23.9 - -267752840361. 267752840337.1 Calculate -1870 - -69.460525267. -1800.539474733 Add -13.866645652 and 0.4. -13.466645652 Work out -118752173.029145 + -0.4. -118752173.429145 What is -6.5091828152 + 1.2? -5.3091828152 What is -164480 + 597059? 432579 -22 - 4629349204 -4629349226 What is 3.0016 - 1426990180.4? -1426990177.3984 Put together 421475145 and 44928. 421520073 What is 13986205091 + -20? 13986205071 Work out -0.9 + -5920302336483. -5920302336483.9 Total of -8047023 and 17485239. 9438216 Work out 20 + -221939626032. -221939626012 Calculate -2908188760315 - -1.7. -2908188760313.3 What is the difference between 19.6 and 83922043101? 83922043081.4 Put together -4.64 and -325608163973. -325608163977.64 What is -0.5 take away -23252076886837? 23252076886836.5 Calculate 7 - -117865.57914. 117872.57914 Subtract 441 from -221621555. -221621996 Work out 236.53452 - 107258. -107021.46548 What is -0.2405456 less than -2036422? -2036421.7594544 Put together -740.37 and -65586200. -65586940.37 What is -10.13968 - -195.8602? 185.72052 Work out 1320.6 + 58979919. 58981239.6 What is -1279 - -22598.5753? 21319.5753 Calculate -22346.6884 - 33524. -55870.6884 Put together 13117602 and 44269. 13161871 Add together -2.63047 and -195043.733. -195046.36347 Add together 34671 and -1614125130. -1614090459 Work out -644765980 - -900094. -643865886 Add together 614182423106 and -0.08. 614182423105.92 What is -3 minus 0.002478401009? -3.002478401009 What is -0.1159 plus -493460459? -493460459.1159 What is 1.148023674 + -132376? -132374.851976326 4800 - 76118195126 -76118190326 Work out 231.54 + 411.690379. 643.230379 Calculate -1 + 31550316230. 31550316229 84.36485637 - -29.73 114.09485637 What is 0.03935 less than 62316137028? 62316137027.96065 What is the difference between -2276494862 and 0.025971? 2276494862.025971 What is -12 minus 11916201218914? -11916201218926 Work out -3 + -1.3549708713. -4.3549708713 Calculate -10.7511 - -30.00516. 19.25406 What is 264 plus 448689496? 448689760 What is -4 less than 1973148840798? 1973148840802 Calculate -0.0001 - -1990395239. 1990395238.9999 What is -5.1924159045 plus -0.04183? -5.2342459045 -67345695.809554+0.1 -67345695.709554 What is -178229269 - 0.458? -178229269.458 What is 4574424406003 plus -0.2? 4574424406002.8 278 - 1096014204 -1096013926 Sum 0.097 and 214.280464. 214.377464 What is 17744499856 minus 3? 17744499853 What is 61311 take away 105805444? -105744133 Add -98390843475 and 186. -98390843289 Put together -693519252274 and -1.01. -693519252275.01 Work out -0.4 + 9514616348. 9514616347.6 Calculate 885176 - 214384. 670792 What is the difference between 196.14 and 24276427? 24276230.86 What is the difference between -0.005 and 1183339347.57? 1183339347.575 Calculate 11372327081058 + -4. 11372327081054 Subtract -2262096 from 675997. 2938093 What is 139529 minus 400763.059? -261234.059 2153798 + -682320 1471478 Work out -2.911 + -259916365. -259916367.911 What is -1.382116973 - 10036? -10037.382116973 Calculate 178506.25 - 3166817. -2988310.75 Add -0.2 and -2.52105594473. -2.72105594473 13955103 - 94.624 13955008.376 -914124642 + 259743 -913864899 Work out -37872129193924 - -2. -37872129193922 What is 6271834.731 + 0.0923? 6271834.8233 What is 42 plus -4215383278934? -4215383278892 Sum 41 and 1527250416.011. 1527250457.011 What is 139464.5607968 plus 0.7? 139465.2607968 Work out 162192412503 + -0.4. 162192412502.6 Sum 42812670854237 and -0.2. 42812670854236.8 Work out 8939 + 9.20141. 8948.20141 Put together -2292415692903 and -2. -2292415692905 What is -620.97 minus -16495766? 16495145.03 What is 1.8067754 - 872.3? -870.4932246 What is 164511917584 less than 0.3? -164511917583.7 What is -2 minus 9287932551201? -9287932551203 -235826695 - 329145 -236155840 Work out 722254605.8 + -40. 722254565.8 -42.6760055457+0 -42.6760055457 What is -3175831.3 take away -0.97951? -3175830.32049 Total of -181123113 and 99.147. -181123013.853 Put together 0.05432 and -22227269. -22227268.94568 Put together -8063.9775 and 952020. 943956.0225 Work out 0.0566 - 5556758.58. -5556758.5234 What is 507514798.47 less than 0.01? -507514798.46 What is -40678005068839 + 14? -40678005068825 What is the distance between -0.1509 and -26603624043.7? 26603624043.5491 What is 15.61 plus 119353976? 119353991.61 Total of -24633292 and 33.26926. -24633258.73074 What is 98730375588 minus 26.48? 98730375561.52 What is the difference between -0.095 and -4705194687? 4705194686.905 What is 30728749 - 26925? 30701824 What is -7.251006157652 take away -3? -4.251006157652 Work out -754297273 + 445. -754296828 Work out 2464320700670 - 57. 2464320700613 Total of 10747.8240114 and -7. 10740.8240114 What is the difference between 3514027842 and 289? 3514027553 Calculate 2 + 28996.687826. 28998.687826 Sum -78212.8 and -184807. -263019.8 Calculate 741874 + -820698. -78824 0.0189426592 + -0.106 -0.0870573408 Add together 16534203074226 and 0.13. 16534203074226.13 What is 0.18945 minus -89909148? 89909148.18945 What is -462671550 less than -7127.5? 462664422.5 What is the difference between 7 and -170.32854113? 177.32854113 Subtract 0.05608411189 from -0.4. -0.45608411189 What is -38313199133 + 208? -38313198925 -99294+-298806816 -298906110 Calculate -0.5673 + -320.52532. -321.09262 Sum -210485820836786 and 0. -210485820836786 Subtract 3130315.5 from -3.5834. -3130319.0834 Calculate 22787957228 + -55. 22787957173 What is 766199397 - 6992.6? 766192404.4 What is the difference between 4 and 7724.41966057144? 7720.41966057144 Put together -3 and -825592653396. -825592653399 48+-479952181758 -479952181710 Total of -0.3 and 2988288.27466. 2988287.97466 What is 42 + 0.111717252598? 42.111717252598 8450461790+9 8450461799 122620+1572096026 1572218646 What is -18 minus 113638441586? -113638441604 Subtract -1.6 from -0.0827686652. 1.5172313348 Sum 263955 and -3.37137. 263951.62863 What is -1301691712 + 345303? -1301346409 Calculate 3370855 + -229524. 3141331 Calculate -7540 + 582.3457. -6957.6543 Sum -5 and -16.199303734. -21.199303734 Work out -0.105 + 1545149406. 1545149405.895 Calculate 10014.107 - 27.22. 9986.887 Sum -21.7359843 and -721680. -721701.7359843 What is the difference between -1.1454300425458 and 1.7? 2.8454300425458 Calculate 1 + 24.502438226736. 25.502438226736 Add together -47642679 and 48726029. 1083350 Subtract 16531 from 0.023253844963. -16530.976746155037 What is 0.5 - -44976766556797? 44976766556797.5 What is -90173178515.1 less than -40? 90173178475.1 Put together -558359.6 and 484751. -73608.6 What is 166288193 less than -0.03659? -166288193.03659 What is -48134312 minus 31891? -48166203 What is the distance between -2194 and -45385075564? 45385073370 2666125953+-9508 2666116445 Add 0.03 and -875531234522.22. -875531234522.19 What is -0.183611257 take away -20? 19.816388743 Subtract 16477279.7 from -59936. -16537215.7 What is the difference between -12879 and 973092? 985971 What is 2428 minus 11.60617035? 2416.39382965 Put together 49 and -827630174.06. -827630125.06 What is 0.49 less than -23.99298086? -24.48298086 What is -244139753164 plus 10? -244139753154 What is 5253 minus 5791629.795? -5786376.795 Work out -9192974.18 + 3844. -9189130.18 59343365070448+-0.4 59343365070447.6 What is -4 - -0.585109024414? -3.414890975586 Calculate -0.051446891 + -3525. -3525.051446891 Total of 451392537.2 and 0.33631. 451392537.53631 What is the distance between -347686484.8012 and -0.5? 347686484.3012 What is the distance between -8 and 72709382298? 72709382306 Add 0.3435 and -4301.94471. -4301.60121 -0.14 + -4201997892.53 -4201997892.67 What is -22.11130253 + 1036? 1013.88869747 5125 + -307.399196 4817.600804 -120293.435+-0.015 -120293.45 Calculate -2.91572745972 - 0.094. -3.00972745972 Subtract 4053820811 from 39001. -4053781810 Add together -380238326 and 40. -380238286 553368553 + 364223 553732776 What is 746745769 less than 76? -746745693 -1725.60764 - -13.233 -1712.37464 Total of -112013 and 1385844. 1273831 Calculate -27.67948 + 0.06947. -27.61001 Calculate -1595048610 + 2.04. -1595
{ "pile_set_name": "DM Mathematics" }
q + 1 + q + 0*q + q + q + 2*q - 4*q. 6*q Expand (-2 - l + 2)*(-1 - 1 - 5) + 11*l - 8*l + 11*l. 21*l Expand (5*t**3 - 1 + 1)*((3*t - 3*t + 2*t)*(-1 + 3 - 1) - 13*t + 2*t + t). -40*t**4 Expand (-125*r + 185*r - 305*r)*(-2 + 2*r**3 + 2) + (-1 + 1 + r**3)*(0 + r + 0). -489*r**4 Expand -3*t**4 - 2*t**4 + 3*t**4 + (2*t**3 - 4*t**3 + t**3)*(-399*t + 201*t + 206*t). -10*t**4 Expand (32*a + 6 + 21*a - 55*a)*(2*a + 0*a - 4*a). 4*a**2 - 12*a Expand k**4 - 2*k**3 + 8*k**2 + 44 - 46 + 3 + (-2 - 2*k + 2)*(-2*k**3 + 0 + 0). 5*k**4 - 2*k**3 + 8*k**2 + 1 Expand (183*w - 13*w**2 - 183*w)*(1 - 2 - 2). 39*w**2 Expand (2*i - 2*i + 2*i**3)*(-20*i + 20*i + 51*i)*(2*i - 10*i - 2*i). -1020*i**5 Expand -13*r + 3*r + 9*r - 2 + 2 - 2*r + (-3 + 3 - r)*(1 + 2 - 2) + (-2*r - 1 + 4*r + 0*r)*(-2 - 1 + 0). -10*r + 3 Expand (2*s - 4*s - s)*(-s + 0*s + 2*s) + (-1 - 1 + 3)*(8*s**2 + 13*s**2 - 31*s**2). -13*s**2 Expand (-28*x - 10*x - 8*x - 19*x)*(2*x**2 + 1 - 1). -130*x**3 Expand 936*t - 936*t - 6*t**4 + (-4 - t**4 + 4)*(2 - 1 + 1) + 2*t**4 - t**4 - 3*t**4. -10*t**4 Expand (-89*s - 11*s + 16*s)*(-s + s + s + s + 2*s - 2*s + (3 - 2*s - 3)*(-6 + 3 + 2)). -336*s**2 Expand -20*p + 4*p - 10*p + (-2*p - 4 + 4 - 2*p + 0 + 0 - 4*p - 2*p + 4*p + (2 - 6 + 2)*(2*p - p + p))*(2 + 2 - 3). -36*p Expand -2*f**2 + f**2 + 3 + 1 + (-f - 4*f + f)*(5 + 3*f - f - f). -5*f**2 - 20*f + 4 Expand f**3 + f**3 - f**3 + (-3*f**2 + 3 - 3)*(-15 + 15 + 6*f). -17*f**3 Expand (-30 + 30 - 10*s)*(8 + 3 + 7)*(6*s + 0*s - 4*s). -360*s**2 Expand (0*g + 4*g - 2*g)*(-g + 2*g + 0*g) + 19*g - 19*g - 3*g**2 + 0*g + 7*g**2 - g - 8*g**2. -2*g**2 - g Expand (26 + 5 + 4 + (3 - 6 + 1)*(-1 + 0 + 3))*(m - m + m**2). 31*m**2 Expand (-4 + 4 - p)*(0 - 1 + 2) + ((-1 + 3 - 3)*(-1 - 1 + 1) + 5 - 2 - 2 + 0 + 3 - 2)*(-11 + 22 - 12)*(p - p - p). 2*p Expand (-5 + 10 + 1)*(4 - 4 + 1)*(-2 + 2 - 2 + (4 - 6 + 3)*(1 + 1 - 1))*(-14 - 16*q + 14). 96*q Expand -2249*y + 4499*y - 2255*y - 130 + (2 - 3 - 1)*(2*y - 4*y + 4*y) - 2*y + 0*y + 0*y. -11*y - 130 Expand (3*x**2 - 12*x + 0*x - x**2)*(-6*x - 8*x - 3*x). -34*x**3 + 204*x**2 Expand 2*s - s**5 - 2*s + (-s + 0*s + 0*s)*(3*s**4 - 4*s**4 + 2*s**4) + 21*s**3 - 4*s**5 + 18357*s - 18357*s. -6*s**5 + 21*s**3 Expand (-5 - 32*k + 1 + 14*k + k**2)*(2*k + 0*k - 4*k). -2*k**3 + 36*k**2 + 8*k Expand -3*m + 7*m - 3*m + (1 - 2 + 0)*(45*m - 17*m - 9*m). -18*m Expand (127 + 128 - 3*f**2 - 278)*(2 - 4 + 0). 6*f**2 + 46 Expand (-2 + 2 - z)*(-23*z + 23*z - 36*z**2)*(-z**2 + 4*z**2 - 2*z**2). 36*z**5 Expand (9*k + 14*k**2 + k**3 - 9*k)*(-2*k + 9*k - 5*k + 15*k**2). 15*k**5 + 212*k**4 + 28*k**3 Expand -5 + 16*p - 17*p + 1 - 7 + 7 - 2*p + (-1 - 1 + 3)*(1 - 1 - p) - p + 2*p + p - p + 3*p + 3*p. 3*p - 4 Expand (-4*k**4 + 3*k**4 - k**4)*(31*k + 186*k + 104*k - 58*k + 138*k). -802*k**5 Expand -2*s**4 + 3*s**4 + s**4 + 4*s**2 + s**4 - 4*s**2 + (-2*s**3 + 4*s - 4*s)*(0*s - 3*s + 0*s). 9*s**4 Expand (1 + 0 - 3)*(h - 2*h - 3*h)*(-53 + 5*h + 53)*(-2*h + 1 - 1). -80*h**3 Expand (7 + 10*o - 7)*(-2*o**2 - 3*o**2 + 2*o**2)*(4 - 3 + 0)*(o + 8*o - 4*o). -150*o**4 Expand (1 + 4*q**2 - 1)*(-3*q + q + 5*q)*(0*q + 3*q - 4*q) + (q**2 - q**2 - 2*q**3)*(-2*q + q + 3*q) + 0*q**4 + q**4 + 2*q**4 - 5*q**4 + q**4 + 2*q**4. -15*q**4 Expand (57 - 53 - 67*l**2 + 62*l**2 - 34)*(1 + 0 - 3). 10*l**2 + 60 Expand (4*h**3 + 7*h**3 + 0*h**3 + 2*h)*(-2 - 3 + 4). -11*h**3 - 2*h Expand (-14*w**3 - 13*w**3 + 5*w**3)*((-2 - 1 + 1)*(-3 + 2 + 3) + 3 + 3 - 3). 22*w**3 Expand -3 + 3 + 3*o**4 - 5*o**4 + 0*o**4 + 4*o**4 + (-2*o + 2*o**4 + 2*o)*(3 - 2 - 2) + 11*o + 6*o**4 - 11*o - o**4 + 5*o**4 - o**4. 9*o**4 Expand d**3 - 1 + d**2 + 2*d + 1 - 2*d**3 + 2*d**3 - d**3 + (0*d + 3*d + 2*d)*(0*d + d**2 + 0*d) - 2*d**3 + 4*d**3 + 0*d**3. 7*d**3 + d**2 + 2*d Expand (4*z - 7*z + z)*(-2 + 17 + 131)*(z + 5 - 5) - z**2 - 5*z**2 + 5*z**2 + z**2 + 2*z - 2*z + (3*z - z - 4*z)*(5*z - z - 2*z). -296*z**2 Expand -2*m**3 + m**2 - m**2 - 4*m**3 + 0*m**3 + 5*m**3 + (2 + 2*m - 2)*(0*m**2 - m**2 - m**2) - 20*m**2 + m**3 - 3*m**2 + 1188*m - 1190*m. -4*m**3 - 23*m**2 - 2*m Expand (-23 + 28 - 38)*(3*y + 2*y - 3*y)*(4*y - 3*y + y). -132*y**2 Expand 0*r - 4*r + 3*r + (-3*r - 3*r + 4*r)*(-1 + 6 - 3) - 3*r + 3*r - 4*r + (5 - 3 + 1)*(2*r - 6*r + 0*r). -21*r Expand ((-1 - 1 + 1)*(3 + 0 - 5) + (-3 + 5 + 0)*(2 - 3 + 2))*(15*t**2 - 15*t**2 + 17*t**4). 68*t**4 Expand (0*o - 2*o + 0*o + 0*o + 0*o - o + (2 - 2 + 1)*(-1 + 1 - o) + 2 - 2 - 2*o - 2*o + 3 - 3)*(-4*o + 2*o + 4*o)*(1 + 12 + 8) + 2*o**2 - o**2 - 3*o**2. -338*o**2 Expand (3 - 4 - 4)*(15 - 15 + 19*j + (-4 + 1 + 1)*(2 + j - 2) + 0*j - 2*j + j). -80*j Expand ((0 - 2 + 3)*(c - 2*c + 2*c) - c - 4 + 4 + (-3*c + 2*c - c)*(1 + 0 + 0) + 0 + c + 0 + 0*c - 5*c + 4*c)*(10 + 3 + 12 - c). 2*c**2 - 50*c Expand 15*k - 95 - 354*k + 95 + (k + 0*k - 2*k)*(3 + 0 - 4). -338*k Expand (-101 - 162 + 123)*(-3*f - 2*f + 0*f)*(3 + 1 - 6)*(-3*f + 2*f - f). 2800*f**2 Expand (-h**2 - h**2 + h**2)*(2*h**2 + 2*h**2 - 3*h**2) - h**4 + 6*h**4 - 3*h**4 + (h**3 - 4*h**3 + 2*h**3)*(-1 + h + 1) - 5*h**4 + 16*h - 16*h. -5*h**4 Expand (-1 - 6 + 1 + (5 - 2 - 4)*(3 - 2 + 1))*(-2*k + 4*k - k). -8*k Expand (-3*c + 4*c - 2*c)*(-6*c + 3*c - 3*c)*(-6 - 1 + 2) - 3*c**2 - c**2 - c**2. -35*c**2 Expand (-o + 0*o + 1 + 5*o)*(-25*o + 25*o + 35*o**2). 140*o**3 + 35*o**2 Expand (-3*n + 7*n + 6*n)*(n**3 + 3*n**3 - 3*n**3). 10*n**4 Expand (-3*p - p + 0*p)*(0 + 2 - 3)*(-88 + 47 + 53). 48*p Expand (-3 + 11 - 9 + 26*o)*(-2*o + 7*o - 8*o)*(o + o + 0*o). -156*o**3 + 6*o**2 Expand (-173*g + 0*g**2 + 182*g - 9*g**2)*(-g + g**2 + g). -9*g**4 + 9*g**3 Expand (1 - 10*w**2 - 1)*(0 + 0 + 3*w**2) + (4 + 0 - 6)*(0*w**3 + 0*w**3 + 2*w**4). -34*w**4 Expand (-24*w**3 - 32*w**3 + 6*w**3)*(0 + 3 - 2 + (-3 + 2 - 1)*(6 - 3 - 2) + 0 - 2 + 4). -50*w**3 Expand (-17 - 22 + 9)*(0 + 2 + 0)*((0*n + 0*n + n)*(-1 - 2 + 5) - 3 + 3 + 2*n - 4*n + 2*n + n - n + 3*n - 3*n - 6*n + n + 4*n + n - 2*n + 3*n). -180*n Expand (-6 + 1 + 2)*(7 - 7 - 2*a)*(2*a**2 - 3*a**2 - 2*a**2)*(2*a**2 + 2 - 2). -36*a**5 Expand 0*i - 3 - 2*i + 0 + (-1 + 8 + 4)*(6*i - i - 2*i + (-3 + 2 - 1)*(2 - i - 2)). 53*i - 3 Expand -1578*a - 3 + 1120*a + 2 + (1 - 3 + 1)*(-a - 2*a + 2*a) - 5*a - a + 4*a - 1 - 2*a + 1 + 5*a - 4*a - 2*a + a + a - a. -461*a - 1 Expand (5 + 7 - 53)*(4*t + t - 6*t)*(4 - 4 + 2*t)*(2*t - t - 4*t). -246*t**3 Expand (8*n + 8*n - 9*n)*(14 + 5 - 3)*(-2 + 7 - 2). 336*n Expand -32*x - 21*x + 48*x + (-x + 3 - 3)*(4 - 2 - 3). -4*x Expand -4*h**4 + 0*h**4 + 6*h**4 + (151*h**2 - 38*h**2 + 60*h**2)*(-3*h**2 + 6*h**2 - h**2). 348*h**4 Expand (21*w - 731*w**2 + 741*w**2 + 12*w)*(4*w**3 - 5*w**3 + 3*w**3). 20*w**5 + 66*w**4 Expand (145*l + 127598 - 127598)*(2*l - 4*l + 4*l). 290*l**2 Expand -2 - 2*p**2 + 2 + 2*p**2 + p**2 - p**2 + (3*p - 3*p + p)*(-4 + p + 4) - 2*p**2 - 16*p**2 + 2*p**2 + 1 + 5*p**2 - p - 2*p**2 - 5*p**2. -17*p**2 - p + 1 Expand (-y**2 + 2*y**2 + 0*y**2)*(-48*y**2 + 82*y**2 + 177*y - 36*y**2). -2*y**4 + 177*y**3 Expand (1 + 2 - 1)*(-4 + 4 - 2)*(-25*q**2 - 6*q**2 - 14*q**2) + 3*q**2 - 4*q + 4*q. 183*q**2 Expand (2*k - 1 + 1)*((-3 + 3 - 1)*(2*k - 4*k + k) - 51*k - 10 + 10 + k + 2*k - k). -96*k**2 Expand k**4 - 4*k**4 + 4*k**4 + k**4 - 2*k**4 - k**4 + 0 + k**4 + 0 + (2*k**4 - 2*k**4 - 3*k**4)*(-3 + 2 - 1) + 0 + 3*k**4 + 0 - 8*k + 8*k - 2*k**4. 7*k**4 Expand x**5 + 2*x**3 - 2*x**3 + (-2 + 4 - 1)*(-3 - 2*x**5 + 3) + 142228*x**3 + 408*x**5 - 142228*x**3. 407*x**5 Expand (-3 - 4 + 1)*(2*k**3 - 4 + 4 + (k + 4*k - 3*k)*(-5*k**2 + 3*k**2 - 10*k**2)). 132*k**3 Expand (-y**3 - y**2 + y**2)*(-1 - 3*y**2 + 1) - y**5 + 5*y**5 - y**5. 6*y**5 Expand (4 - 3 - 3)*(2*m**4 + 4*m**2 - 4*m**2) + 55*m**4 + 148*m**2 - 148*m**2. 51*m**4 Expand (2 + 3 - 6)*(4*f**2 - f**2 + 0*f**2)*(-98 + 98 - 66*f**2). 198*f**4 Expand (-q - 5 + 5)*(-q + 4*q - q) + (-27*q - 7*q + 5*q)*(-3*q - 2*q + 3*q). 56*q**2 Expand 4*o**2 + 0*o**2 - o**2 + (39*o + 93 - 93)*(o + 1 - 5 + 2). 42*o**2 - 78*o Expand (-268 + 356 - 192)*(-2*g**4 - g**4 - g**4). 416*g**4 Expand (4*b - 4*b + 4*b**2)*(-3 + b + 3)*(14 - 7*b - 14). -28*b**4 Expand (8*p**2 + 15*p**2 - 3*p**2)*(-2*p + 3*p - 2*p) + 22*p**3 + 15*p - 15*p. 2*p**3 Expand (2*z - 2*z**2 + 0*z + 0*z**2)*(183*z**2 - 37*z**2 + 22*z**2). -336*z**4 + 336*z**3 Expand (0*q**3 + 0*q**3 + q**4)*(2*q - 2 + 2) + 4*q**2 - 4*q**2 + 3*q**5 + (-23*q**3 + 139
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 2022? 2, 3, 337 What are the prime factors of 1329? 3, 443 What are the prime factors of 11966? 2, 31, 193 List the prime factors of 117. 3, 13 What are the prime factors of 318? 2, 3, 53 List the prime factors of 204. 2, 3, 17 What are the prime factors of 35710? 2, 5, 3571 List the prime factors of 16135. 5, 7, 461 List the prime factors of 1304. 2, 163 List the prime factors of 1207. 17, 71 List the prime factors of 25947. 3, 31 What are the prime factors of 64309? 7, 9187 What are the prime factors of 48534? 2, 3, 8089 List the prime factors of 70503. 3, 71, 331 What are the prime factors of 3179? 11, 17 List the prime factors of 964. 2, 241 List the prime factors of 47060. 2, 5, 13, 181 List the prime factors of 76179. 3, 67, 379 What are the prime factors of 103541? 47, 2203 What are the prime factors of 4572? 2, 3, 127 What are the prime factors of 1576? 2, 197 List the prime factors of 811. 811 What are the prime factors of 770? 2, 5, 7, 11 List the prime factors of 871. 13, 67 What are the prime factors of 1114? 2, 557 What are the prime factors of 3588? 2, 3, 13, 23 List the prime factors of 22667. 19, 1193 What are the prime factors of 31675? 5, 7, 181 List the prime factors of 10895. 5, 2179 What are the prime factors of 8608? 2, 269 List the prime factors of 1111. 11, 101 List the prime factors of 2248. 2, 281 List the prime factors of 30901. 13, 2377 List the prime factors of 731. 17, 43 What are the prime factors of 4220? 2, 5, 211 What are the prime factors of 1572? 2, 3, 131 What are the prime factors of 114402? 2, 3, 23, 829 What are the prime factors of 4071? 3, 23, 59 What are the prime factors of 1319? 1319 List the prime factors of 1022. 2, 7, 73 List the prime factors of 9358. 2, 4679 What are the prime factors of 1915? 5, 383 List the prime factors of 15797. 15797 What are the prime factors of 1798? 2, 29, 31 What are the prime factors of 29700? 2, 3, 5, 11 List the prime factors of 2091. 3, 17, 41 List the prime factors of 1760. 2, 5, 11 What are the prime factors of 434? 2, 7, 31 What are the prime factors of 45764? 2, 17, 673 List the prime factors of 47504. 2, 2969 What are the prime factors of 31636? 2, 11, 719 List the prime factors of 14440. 2, 5, 19 List the prime factors of 179. 179 List the prime factors of 241. 241 What are the prime factors of 1507? 11, 137 List the prime factors of 88199. 89, 991 List the prime factors of 2936. 2, 367 List the prime factors of 11903. 11903 What are the prime factors of 7615? 5, 1523 List the prime factors of 3668. 2, 7, 131 What are the prime factors of 5438? 2, 2719 What are the prime factors of 7557? 3, 11, 229 What are the prime factors of 49390? 2, 5, 11, 449 What are the prime factors of 6739? 23, 293 List the prime factors of 1036. 2, 7, 37 What are the prime factors of 3131? 31, 101 What are the prime factors of 6212? 2, 1553 List the prime factors of 13613. 13613 List the prime factors of 14175. 3, 5, 7 List the prime factors of 735. 3, 5, 7 What are the prime factors of 11762? 2, 5881 What are the prime factors of 11033? 11, 17, 59 List the prime factors of 91976. 2, 11497 What are the prime factors of 4209? 3, 23, 61 What are the prime factors of 99990? 2, 3, 5, 11, 101 List the prime factors of 97221. 3, 23, 1409 What are the prime factors of 828? 2, 3, 23 What are the prime factors of 2078? 2, 1039 List the prime factors of 24705. 3, 5, 61 What are the prime factors of 111175? 5, 4447 List the prime factors of 94298. 2, 47149 What are the prime factors of 812? 2, 7, 29 List the prime factors of 8635. 5, 11, 157 List the prime factors of 16564. 2, 41, 101 What are the prime factors of 76709? 79, 971 List the prime factors of 45452. 2, 11, 1033 List the prime factors of 2468. 2, 617 What are the prime factors of 54540? 2, 3, 5, 101 List the prime factors of 45656. 2, 13, 439 List the prime factors of 10004. 2, 41, 61 What are the prime factors of 897? 3, 13, 23 List the prime factors of 44127. 3, 4903 List the prime factors of 6051. 3, 2017 What are the prime factors of 39220? 2, 5, 37, 53 What are the prime factors of 3024? 2, 3, 7 List the prime factors of 261. 3, 29 List the prime factors of 864. 2, 3 What are the prime factors of 11937? 3, 23, 173 What are the prime factors of 8481? 3, 11, 257 What are the prime factors of 46090? 2, 5, 11, 419 List the prime factors of 44400. 2, 3, 5, 37 What are the prime factors of 116? 2, 29 What are the prime factors of 3883? 11, 353 List the prime factors of 27260. 2, 5, 29, 47 What are the prime factors of 4527? 3, 503 List the prime factors of 5006. 2, 2503 What are the prime factors of 903? 3, 7, 43 What are the prime factors of 215? 5, 43 List the prime factors of 1751. 17, 103 What are the prime factors of 583? 11, 53 What are the prime factors of 1217? 1217 List the prime factors of 3289. 11, 13, 23 What are the prime factors of 12144? 2, 3, 11, 23 List the prime factors of 3784. 2, 11, 43 List the prime factors of 740. 2, 5, 37 List the prime factors of 45470. 2, 5, 4547 What are the prime factors of 4815? 3, 5, 107 List the prime factors of 1098. 2, 3, 61 What are the prime factors of 64960? 2, 5, 7, 29 List the prime factors of 3946. 2, 1973 List the prime factors of 2901. 3, 967 What are the prime factors of 4509? 3, 167 What are the prime factors of 3190? 2, 5, 11, 29 What are the prime factors of 17294? 2, 8647 List the prime factors of 4404. 2, 3, 367 What are the prime factors of 1489? 1489 What are the prime factors of 10222? 2, 19, 269 What are the prime factors of 4423? 4423 List the prime factors of 66168. 2, 3, 919 List the prime factors of 972. 2, 3 What are the prime factors of 18906? 2, 3, 23, 137 List the prime factors of 16336. 2, 1021 What are the prime factors of 13991? 17, 823 What are the prime factors of 294? 2, 3, 7 What are the prime factors of 1962? 2, 3, 109 List the prime factors of 37854. 2, 3, 701 List the prime factors of 3022. 2, 1511 What are the prime factors of 1228? 2, 307 List the prime factors of 960. 2, 3, 5 What are the prime factors of 3585? 3, 5, 239 What are the prime factors of 17359? 17359 What are the prime factors of 6394? 2, 23, 139 What are the prime factors of 86497? 67, 1291 List the prime factors of 1868. 2, 467 List the prime factors of 10907. 13, 839 What are the prime factors of 483? 3, 7, 23 What are the prime factors of 2963? 2963 List the prime factors of 1416. 2, 3, 59 What are the prime factors of 1672? 2, 11, 19 List the prime factors of 5447. 13, 419 List the prime factors of 3148. 2, 787 What are the prime factors of 1303? 1303 List the prime factors of 58611. 3, 7, 2791 List the prime factors of 2880. 2, 3, 5 List the prime factors of 14797. 14797 What are the prime factors of 178057? 11, 16187 What are the prime factors of 717? 3, 239 What are the prime factors of 554? 2, 277 List the prime factors of 375. 3, 5 List the prime factors of 1272. 2, 3, 53 List the prime factors of 45628. 2, 11, 17, 61 List the prime factors of 35864. 2, 4483 List the prime factors of 455. 5, 7, 13 What are the prime factors of 82891? 82891 List the prime factors of 4760. 2, 5, 7, 17 What are the prime factors of 581? 7, 83 What are the prime factors of 8114? 2, 4057 List the prime factors of 1660. 2, 5, 83 What are the prime factors of 171? 3, 19 List the prime factors of 5258. 2, 11, 239 List the prime factors of 83291. 13, 43, 149 What are the prime factors of 4150? 2, 5, 83 List the prime factors of 207. 3, 23 List the prime factors of 42457. 42457 What are the prime factors of 86506? 2, 7, 37, 167 What are the prime factors of 4498? 2, 13, 173 What are the prime factors of 15430? 2, 5, 1543 What are the prime factors of 2178? 2, 3, 11 List the prime factors of 1413. 3, 157 List the prime factors of 24023. 24023 List the prime factors of 740. 2, 5, 37 What are the prime factors of 1209? 3, 13, 31 What are the prime factors of 1655? 5, 331 List the prime factors of 1297. 1297 What are the prime factors of 64666? 2, 7, 31, 149 What are the prime factors of 116797? 116797 What are the prime factors of 43662? 2, 3, 19, 383 What are the prime factors of 109550? 2, 5, 7, 313 What are the prime factors of 111490? 2, 5, 11149 What are the prime f
{ "pile_set_name": "DM Mathematics" }
j(1). Let d = -7 + 10. Factor 2*v - v**3 + 0*v**d - v - 3*v**2 + 2*v**2 + v**s. v*(v - 1)**2*(v + 1) Let w(z) = -2*z**4 + z**3 - z**2 - 4*z + 3. Suppose -9*r + 11*r + 6 = 0. Let f(u) = -3*u**4 - u**2 - 4*u + 4. Let c(p) = r*f(p) + 4*w(p). Factor c(y). y*(y - 1)*(y + 1)*(y + 4) Let t(w) be the third derivative of -1/12*w**5 + 0*w**4 + 0*w**3 + 0 + 1/8*w**6 + 12*w**2 + 0*w. Find u such that t(u) = 0. 0, 1/3 Suppose -2*o - 2*b + 10 = 0, 4*b = -0*o - 5*o + 26. Factor 2 + 3*u - 8*u - u + 13*u**3 - 15*u**3 + o*u**2. -2*(u - 1)**3 Let a = 132 + -115. Suppose -4*y + a + 3 = 0. Find z, given that -1/4*z**y - 7/4*z**3 - 5/4*z**4 + 1 + 1/4*z**2 + 2*z = 0. -2, -1, 1 Let d(l) = -4239*l**2 + 736*l - 39. Let g(f) be the first derivative of -2119*f**3/3 + 184*f**2 - 19*f + 3. Let k(t) = 3*d(t) - 7*g(t). Factor k(c). 4*(23*c - 2)**2 Let o be (2 + 40)*4/14. Let r be 3 + -1 - (-8)/2. Determine l so that -3/2 + 6*l**5 - 3/2*l**4 - o*l**3 + 3*l**2 + r*l = 0. -1, 1/4, 1 Let s be (-102)/36 - ((-24)/4)/2. Let j(n) be the first derivative of 3 - 4*n**2 - 4/3*n**3 - s*n**4 - 16/3*n. Factor j(k). -2*(k + 2)**3/3 Let t(o) be the third derivative of 0*o**3 + 0 + 1/100*o**5 + 1/20*o**4 + 0*o - 1/350*o**7 - 27*o**2 - 1/100*o**6. Solve t(n) = 0 for n. -2, -1, 0, 1 Let p(z) be the third derivative of z**5/30 + 38*z**4/3 + 5776*z**3/3 + 565*z**2. Factor p(h). 2*(h + 76)**2 Solve 0 + 3*f**4 - 3/5*f**3 + 0*f**2 + 0*f = 0. 0, 1/5 Find x such that -6*x**3 - 28*x**2 + 40/3*x + 400/3 = 0. -10/3, 2 Factor 3*c**2 + 138/7*c + 9 - 6/7*c**3. -3*(c - 7)*(c + 3)*(2*c + 1)/7 Let k(m) be the third derivative of m**5/5 - m**4/3 - 2*m**3/3 + 63*m**2. Factor k(r). 4*(r - 1)*(3*r + 1) Let s(u) = 10*u**2 + 5*u + 5. Let g(o) = o**2 + 1. Let k(t) = -4*t + 8. Let x be k(-9). Let m(v) = x*g(v) - 4*s(v). Factor m(p). 4*(p - 3)*(p - 2) Factor 3 + 102*r - 12*r**3 - 12 - 4 - 33*r**2 - 33 - 11. -3*(r - 1)**2*(4*r + 19) Suppose 0 = 13*w + 55*w - 816. Let i(f) be the second derivative of 0*f**5 - w*f + 0*f**3 + 0*f**4 - 1/45*f**6 + 0*f**2 + 0. Let i(j) = 0. Calculate j. 0 Suppose -5*t + 5*z + 25 = 0, -162*z + 165*z + 6 = 0. Suppose 2*c - 6*c - 3 = 3*n, -5*n - 5 = 5*c. Factor -3/2*q**2 + c - t*q. -3*q*(q + 2)/2 Factor 1/5*p**2 + 1/5*p - 2/5. (p - 1)*(p + 2)/5 Let b(y) be the first derivative of y**3/12 + 25*y**2/8 - 13*y/2 - 178. Factor b(t). (t - 1)*(t + 26)/4 Let i be (-52)/4*((-2)/2 + -1). Let u be (-2 - -1)*2 - (-56)/i. Factor -u*w**2 + 0 - 2/13*w**3 + 0*w. -2*w**2*(w + 1)/13 Suppose -9*y = -4*y. Suppose -4*r = -g - 1 + 6, 0 = 4*r - 3*g + 15. Determine w so that y - 2/9*w + 4/9*w**4 + 2/9*w**5 - 4/9*w**2 + r*w**3 = 0. -1, 0, 1 Suppose -4*o - 52 = -3*q, 3*q - 5*q - o + 20 = 0. Let l be 6*3/q - (-108)/(-104). Determine r so that -l - 8/13*r - 2/13*r**2 = 0. -3, -1 Suppose 0 = 3*m + d - 1, -5*m + d - 1 = -m. Let -1/2*a**3 + 0 + 1/4*a**4 + 1/4*a**2 + m*a = 0. What is a? 0, 1 Suppose -90*r = -92*r. Let u(b) be the first derivative of 2/3*b**3 + 0*b + b**4 + 2/5*b**5 + 6 + r*b**2. Factor u(j). 2*j**2*(j + 1)**2 Suppose 1 + 1 - 26*n - 3 + 6*n**2 + 9 = 0. Calculate n. 1/3, 4 Let n(r) be the first derivative of r**6/120 + 7*r**3/3 - 1. Let s(m) be the third derivative of n(m). Factor s(p). 3*p**2 Let l(w) be the second derivative of -w**7/252 + w**5/72 - 7*w**2/2 - 13*w. Let a(n) be the first derivative of l(n). Let a(s) = 0. What is s? -1, 0, 1 Let o(g) be the third derivative of g**7/1050 - g**6/300 - 2*g**5/75 + 3*g**4/20 - 3*g**3/10 + 83*g**2 + 2. Factor o(z). (z - 3)*(z - 1)**2*(z + 3)/5 Factor -105/4 - 9*q - 3/4*q**2. -3*(q + 5)*(q + 7)/4 Let d be (2 + 84/(-70))/(2 + (-1)/1). Factor -d*h + 0 - 4/5*h**4 - 12/5*h**3 - 12/5*h**2. -4*h*(h + 1)**3/5 Let c be -1 - ((-1)/(-22))/(16/(-992)). Let j = -69/44 + c. Factor -9*f**2 - j + 3*f. -(6*f - 1)**2/4 Let t(k) = k**3. Let x(w) = 47*w**3 + 240*w**2 + 168*w + 32. Let o = -28 + 31. Let b(m) = o*t(m) + x(m). Find u such that b(u) = 0. -4, -2/5 Let c(k) be the second derivative of -k**6/50 - 3*k**5/25 - k**4/10 + 2*k**3/5 + 9*k**2/10 + 55*k - 1. Solve c(g) = 0 for g. -3, -1, 1 Let l be 4*3/126 + 696/1218. Solve 10/3*x**3 - l*x**4 - 8/3*x - 4*x**2 + 16/3 = 0. -1, 2 Let n(q) be the third derivative of 2*q**8/483 - 16*q**7/2415 + 2*q**5/345 - q**4/276 - 105*q**2. Factor n(x). 2*x*(2*x - 1)**3*(2*x + 1)/23 Let c(i) be the third derivative of -i**8/840 + 13*i**7/350 - 179*i**6/600 - 2*i**5/5 + 5*i**4/6 + i**2. Let c(m) = 0. Calculate m. -1, 0, 1/2, 10 Let o be 0/1*-1*8/(-16). Let u(p) be the third derivative of 0*p**4 + 0*p**5 - 1/112*p**8 + 3*p**2 + 0*p + 0*p**6 + o*p**3 + 0 + 1/70*p**7. Factor u(i). -3*i**4*(i - 1) Let o(j) be the second derivative of 2*j**7/21 + j**6/6 - 11*j**5/20 - 7*j**4/12 + 7*j**3/6 + j**2 - 53*j - 2. Determine a so that o(a) = 0. -2, -1, -1/4, 1 Let w(s) be the third derivative of -s**7/105 + s**6/12 + s**5/30 - 5*s**4/12 + 344*s**2 - 2*s. Factor w(m). -2*m*(m - 5)*(m - 1)*(m + 1) Let j(q) be the first derivative of 3*q**5/5 + 3*q**4 + 5*q**3 + 3*q**2 + 86. Find d such that j(d) = 0. -2, -1, 0 Let p(x) be the first derivative of 2/17*x - 2/17*x**2 - 40 + 2/51*x**3. Solve p(l) = 0 for l. 1 Let w = 5433 - 3911759/720. Let f(v) be the third derivative of -1/48*v**4 + 1/36*v**3 - w*v**6 - 4*v**2 + 0*v + 0 + 1/120*v**5. Let f(d) = 0. What is d? 1 Let x(f) be the third derivative of f**7/420 - f**6/24 - 3*f**5/10 - 19*f**4/24 - 13*f**3/12 - 92*f**2. Suppose x(u) = 0. Calculate u. -1, 13 Let b(a) be the second derivative of -a**8/10080 + a**7/3780 - a**4/3 - 2*a. Let x(h) be the third derivative of b(h). Solve x(t) = 0 for t. 0, 1 Suppose 0 = -13*b + 3*b + 60. Factor -20*t**2 + 8*t**2 + 10*t + 11*t + b. -3*(t - 2)*(4*t + 1) Factor -185*y**3 - 22*y + 2*y + 4*y**2 + 12 + 189*y**3. 4*(y - 1)**2*(y + 3) Let t(w) = 5*w**3 - 45*w**2 + 98*w - 2. Let b(k) = -20*k**3 + 180*k**2 - 391*k + 9. Let c(f) = 2*b(f) + 9*t(f). Factor c(y). 5*y*(y - 5)*(y - 4) Suppose -4*w = -6*v + 9*v, -4*w + 4*v = 0. Let z(k) be the second derivative of 1/20*k**5 - 1/4*k**4 + 1/3*k**3 - 5*k + 0*k**2 + w. Factor z(r). r*(r - 2)*(r - 1) Suppose -20*u**2 + 61/2*u**3 - 9/2*u**4 + 0 - 6*u = 0. What is u? -2/9, 0, 1, 6 Suppose 2*q + 37 - 41 = 0. Factor 4*o**4 + q + 8*o**3 - 8*o - 6 + 0*o. 4*(o - 1)*(o + 1)**3 Suppose -5*n + 17 = 3*l, -n + 5*l + 17 = 2*n. Suppose -3*y = -n*g + y, -3*y = 4*g - 21. Suppose -30 + 0*m**2 - 4*m**2 + 55*m - 8*m**2 - g*m**2 = 0. What is m? 2/3, 3 Let c(t) be the first derivative of t**7/42 - 5*t**6/24 + t**5/12 + 35*t**4/8 - 15*t**3 + 3*t**2/2 + 22. Let v(y) be the second derivative of c(y). Factor v(h). 5*(h - 3)**2*(h - 1)*(h + 2) Suppose -3*n - 18 = -3*v, 141*n = 140*n - v + 6. Let 0 + 0*i**2 + 21/5*i**4 - 3*i**5 + n*i - 6/5*i**3 = 0. Calculate i. 0, 2/5, 1 Factor 7894 - 2*a**3 - 132*a**2 - 7894. -2*a**2*(a + 66) Let a(r) = -r - 1. Let u be 1/(-2) + 10/(-20). Let z be a(u). Suppose 3*t**2 - 5*t**2 - 2*t**3 + 2 + z*t + 2*t + 0*t = 0. What is t? -1, 1 Suppose -32*r - 48 = -36*r. Suppose -12*v + 6 - 5 + 8 + 8*v**3 - 1 - r*v**2 = 0. What is v? -1, 1/2, 2 Let v(p) be the first derivative of 5*p**6/42 - p**5/5 - 13*p**4/28 + 31*p**3/21 - 10*p**2/7 + 4*p/7 + 51. Factor v(c). (c - 1)**3*(c + 2)*(5*c - 2)/7 Let 0*k + 1/3*k**3 - 1/3*k**2 + 0 = 0. What is k? 0, 1 Let l(m) be the second derivative of 0*m**3 + 0 - 1/4*m**2 + 1/24*m**4 - 12*m. Factor l(d). (d - 1)*(d + 1)/2 Let b = 1365 + -2729/2. What is s in 0*s - b*s**2 + 1/2 = 0? -1, 1 Let b = -41 - -50. Suppose 3 + b - n**2 + 10*n - 5*n**2 + 4*n**2 = 0. Calculate n. -1, 6 Factor 8483*x**2 - 295 + 216*x - 2621 - 8487*x**2. -4*(x - 27)**2 Let f = 2/1075 + 213/1075. Suppose 3*l + 2*d = -2, -4*l + 2*d - 1 = -3. Factor f*w**5 + l*w**4 + 0 - 2/5*w**3 + 0*w**2 + 1/5*w. w*(w - 1)**2*(w + 1)**2/5 Let b = 164/19 + -24581/2850. Let g(j) be the third derivative of 0 + 6*j**2 + 0*j**4 - 1/300*j**6 + 0*j**3 + 0*j - b*j**5. Factor g(y). -2*y**2*(y + 1)/5 Suppose 0 + 2/7*t**5 + 162/7*t**3 + 0*t**2 + 0*t + 36/7*t**4 = 0. Calculate t. -9, 0 Let z be ((-2)/(-30))/(4/25)*1280/48. Factor 4/9*u**3 + z*u - 40/9*u**2 + 0. 4*u*(u - 5)**2/9 Let s = -3613 + 3617. Factor 35/2*z**3 + 5/2*z**5 + 0 - 15/2*z**2 - 25/2*z**s + 0*z. 5*z**2*(z - 3)*(z - 1)**2/2 Let l(h) be the first derivative of 13 - 3*h**2 - 1/4*h**3 - 12*h. Find o, given that l(o) = 0
{ "pile_set_name": "DM Mathematics" }
-79, -2 in ascending order. -79, -6, -2 Put -4, -1/3, 4/21, -1 in decreasing order. 4/21, -1/3, -1, -4 Put 35, -3, 1, 4 in decreasing order. 35, 4, 1, -3 Sort -3/4, 109, -4 in descending order. 109, -3/4, -4 Sort -1, -7, -2 in ascending order. -7, -2, -1 Put -6/11, -435, -1/10 in ascending order. -435, -6/11, -1/10 Sort -118, -3, -3/7, -2, -4 in descending order. -3/7, -2, -3, -4, -118 Sort 4, -5, -29, 5 in descending order. 5, 4, -5, -29 Put -103, -5, -3 in increasing order. -103, -5, -3 Sort -5, 2, 3, 5 in ascending order. -5, 2, 3, 5 Sort -7, -0.3, 11 in decreasing order. 11, -0.3, -7 Sort -3, 3, 0.0293. -3, 0.0293, 3 Put -3, -4, 7, 1 in descending order. 7, 1, -3, -4 Sort -6, -3, 5, 3. -6, -3, 3, 5 Put 2, 6, -3, -4 in ascending order. -4, -3, 2, 6 Sort -2, -109, -3, 4. -109, -3, -2, 4 Put -5, -4, 23, 5 in increasing order. -5, -4, 5, 23 Sort -4, -1, -9, 0, 2 in increasing order. -9, -4, -1, 0, 2 Sort 118, -1, -3, -7 in decreasing order. 118, -1, -3, -7 Put -2/3, -7, 0.3, -0.2 in ascending order. -7, -2/3, -0.2, 0.3 Sort 0, 5, -4, 4 in descending order. 5, 4, 0, -4 Put 15, -5, 4, 0 in decreasing order. 15, 4, 0, -5 Sort 2/11, -1, -2/315, -0.5 in decreasing order. 2/11, -2/315, -0.5, -1 Put 4, -1, 6, -3 in increasing order. -3, -1, 4, 6 Sort 39, 1, -5, -2. -5, -2, 1, 39 Put 3, -4, 2, 5 in decreasing order. 5, 3, 2, -4 Sort 4, -1, 5, -15, -24 in decreasing order. 5, 4, -1, -15, -24 Sort -5/2, 0.2, 0.3, -2/505. -5/2, -2/505, 0.2, 0.3 Sort -9, 0.1, 1, -0.5 in decreasing order. 1, 0.1, -0.5, -9 Put 2/7, 0.2, 19 in ascending order. 0.2, 2/7, 19 Put 27, 4, -2 in descending order. 27, 4, -2 Put 2/11, -1/7, -3, 48 in descending order. 48, 2/11, -1/7, -3 Sort -1, 0.158, 3, 5 in decreasing order. 5, 3, 0.158, -1 Put -8, 5, 2, -0.3 in descending order. 5, 2, -0.3, -8 Sort 8, 3, -5, 0, -12 in ascending order. -12, -5, 0, 3, 8 Sort -2/5, 225, 5, 3/2 in descending order. 225, 5, 3/2, -2/5 Put -4, 20, 13, 3 in decreasing order. 20, 13, 3, -4 Sort 97, -1, 3 in ascending order. -1, 3, 97 Sort -0.3, 3, -4, 4. -4, -0.3, 3, 4 Sort -4, -8, 7 in descending order. 7, -4, -8 Put 4, -4, -0.1, -3, -2 in decreasing order. 4, -0.1, -2, -3, -4 Sort 5, -43, -1, -10, 4 in increasing order. -43, -10, -1, 4, 5 Sort -1/5, 1202, 4/3 in descending order. 1202, 4/3, -1/5 Sort -1, -2, 1 in decreasing order. 1, -1, -2 Put 35, 0, -2 in descending order. 35, 0, -2 Put -8, 2/9, 1, -4 in ascending order. -8, -4, 2/9, 1 Put 5, -30, 3/2, -2 in ascending order. -30, -2, 3/2, 5 Sort -1/2, -0.12, 10, 1/7 in descending order. 10, 1/7, -0.12, -1/2 Put 6, 2, -16, -1, -5 in ascending order. -16, -5, -1, 2, 6 Put -2/5, 1/2, 0.1, 17/2 in descending order. 17/2, 1/2, 0.1, -2/5 Sort 1, -5, -1, 110 in decreasing order. 110, 1, -1, -5 Put 2, -7, -14 in descending order. 2, -7, -14 Sort 0, 4, -1, -29, -4 in descending order. 4, 0, -1, -4, -29 Sort 4, -0.7, -1/130. -0.7, -1/130, 4 Sort -1611, -5, 4 in descending order. 4, -5, -1611 Put 4, -3, 1, 204 in ascending order. -3, 1, 4, 204 Put 1, -509, -5 in descending order. 1, -5, -509 Sort 4, 3, -14/15 in decreasing order. 4, 3, -14/15 Put -3, 2/59, -0.3, -2 in descending order. 2/59, -0.3, -2, -3 Put -0.3, -3, 447 in ascending order. -3, -0.3, 447 Sort -3/4, 4, -3, -0.15. -3, -3/4, -0.15, 4 Sort 58, 156, -5 in descending order. 156, 58, -5 Put -0.5, -0.03, -1/4, 1 in decreasing order. 1, -0.03, -1/4, -0.5 Sort 0, -1, -10, 3 in ascending order. -10, -1, 0, 3 Sort 57, 3, -5, 5 in increasing order. -5, 3, 5, 57 Put 0.07, -4, -8, -1/4 in increasing order. -8, -4, -1/4, 0.07 Sort -15, 4, 5, 1, -5 in decreasing order. 5, 4, 1, -5, -15 Sort 3, -11, -2, 5 in increasing order. -11, -2, 3, 5 Sort 2, -5, 4, 184 in decreasing order. 184, 4, 2, -5 Sort 2, -3, -17, -6. -17, -6, -3, 2 Sort 5, 6, -9, -3, 0 in decreasing order. 6, 5, 0, -3, -9 Put -53, -7, 3 in ascending order. -53, -7, 3 Sort 12, 1, 0.32, 1/7 in decreasing order. 12, 1, 0.32, 1/7 Sort -5, -383, 0 in increasing order. -383, -5, 0 Sort -12, -8, -2/3 in descending order. -2/3, -8, -12 Sort 1/4, 13, 5, 1, -8 in increasing order. -8, 1/4, 1, 5, 13 Put -4, 31, 318 in descending order. 318, 31, -4 Put -15, 6, -4 in increasing order. -15, -4, 6 Put -4, 62, 24 in decreasing order. 62, 24, -4 Sort -4/7, 24/19, 3/2, -0.5. -4/7, -0.5, 24/19, 3/2 Sort -32/3, -2, -7. -32/3, -7, -2 Sort -2/3, -2/19, 30. -2/3, -2/19, 30 Sort -3, 4, 12, -5 in ascending order. -5, -3, 4, 12 Put 1, 0.2, -0.05, -6 in decreasing order. 1, 0.2, -0.05, -6 Put -4, -3, -44, 1 in descending order. 1, -3, -4, -44 Put 488, -4, -3, -5 in decreasing order. 488, -3, -4, -5 Sort 5, 2, -15, -1 in ascending order. -15, -1, 2, 5 Put 3, -5, -2, 410, 2 in ascending order. -5, -2, 2, 3, 410 Sort -2/11, 3.18, -0.26 in decreasing order. 3.18, -2/11, -0.26 Put 17, -4, 27, 1 in decreasing order. 27, 17, 1, -4 Sort -59, 4, 3, -0.2. -59, -0.2, 3, 4 Put -3, 5, 312 in increasing order. -3, 5, 312 Sort 4, 1, -1.15, 2. -1.15, 1, 2, 4 Put 0.22, 7, 1 in ascending order. 0.22, 1, 7 Put 3, 5, -3, -4 in descending order. 5, 3, -3, -4 Sort -148, -9, 0 in increasing order. -148, -9, 0 Sort 449, 1, -4. -4, 1, 449 Put 38/43, 1/7, 0.1, -0.4 in increasing order. -0.4, 0.1, 1/7, 38/43 Sort -4, -226, 4 in decreasing order. 4, -4, -226 Sort -175, -5, -1, 5 in ascending order. -175, -5, -1, 5 Sort -44, -2/9, -5. -44, -5, -2/9 Sort -1/9, 257, 0.07. -1/9, 0.07, 257 Sort -0.1, -9/23, -0.2 in descending order. -0.1, -0.2, -9/23 Sort 224, -5, -1/4, -3 in ascending order. -5, -3, -1/4, 224 Sort -5, 4, 18, 8 in descending order. 18, 8, 4, -5 Sort 1, -1, -6, 2 in ascending order. -6, -1, 1, 2 Put 6/5, -0.3, 3/4, -0.2, 4/3 in ascending order. -0.3, -0.2, 3/4, 6/5, 4/3 Sort -0.04, -2, 0.1, -0.3, 1/4. -2, -0.3, -0.04, 0.1, 1/4 Sort 0.2, 1/8, 209, -8 in ascending order. -8, 1/8, 0.2, 209 Sort 256, 0, -13 in increasing order. -13, 0, 256 Put -1, 10, -4, 49 in ascending order. -4, -1, 10, 49 Sort -1, 0, -3, 13 in increasing order. -3, -1, 0, 13 Put -16, -5, 0 in increasing order. -16, -5, 0 Put -13, -2/21, 1 in increasing order. -13, -2/21, 1 Sort -2, -8586, 5. -8586, -2, 5 Put -4/15, -4, 1, -3 in ascending order. -4, -3, -4/15, 1 Sort 17, -3, 6/11, -0.1 in ascending order. -3, -0.1, 6/11, 17 Put -5, -2, -10 in increasing order. -10, -5, -2 Put -13, 2, -4 in increasing order. -13, -4, 2 Put 8, 4, 68 in decreasing order. 68, 8, 4 Sort 2, 3/7, -4, 3. -4, 3/7, 2, 3 Sort -4, 5, -2709. -2709, -4, 5 Put -2/5, 0, -3, 0.5 in decreasing order. 0.5, 0, -2/5, -3 Put -2, 85, -0.076 in ascending order. -2, -0.076, 85 Sort -1, -4, -0.06 in ascending order. -4, -1, -0.06 Put -1, -5, -11/4, -1/8 in descending order. -1/8, -1, -11/4, -5 Sort -1, 3, -243, 4, 0. -243, -1, 0, 3, 4 Put 36, -4/3, 0 in increasing order. -4/3, 0, 36 Put -4, -0.085, 1 in increasing order. -4, -0.085, 1 Put -4, 0.7, 1, -8, -0.3 in descending order. 1, 0.7, -0.3, -4, -8 Sort -71, -4, -40. -71, -40, -4 Put -2/13, 0.3, 2/45, 3 in decreasing order. 3, 0.3, 2/45, -2/13 Sort 28, 0, -14 in ascending order. -14, 0, 28 Sort -4, 3, 0, -10, 8 in ascending order. -10, -4, 0, 3, 8 Put -0.2, 4/1073, 3 in increasing order. -0.2, 4/1073, 3 Sort 4, 7, -12, 5 in increasing order. -12, 4, 5, 7 Put -5/4, 5, -1/3, -1/7, 0.6 in decreasing order. 5, 0.6, -1/7, -1/3, -5/4 Sort 3, -0.2, 2/5, 1/5. -0.2, 1/5, 2/5, 3 Sort -3, 3, 0, 79 in decreasing order. 79, 3, 0, -3 Sort -4, 1/2, 8, 3/4 in descending order. 8, 3/4, 1/2, -4 Put -14, 150, -3 in decreasing order. 150, -3, -14 Sort 5, 0, 0.3, 2/25 in increasing order. 0, 2/25, 0.3, 5 Sort -2/3, -1, 4, 3, 2/23. -1, -2/3, 2/23, 3, 4 Put -16, 0.6, 0.04 in ascending order. -16, 0.04, 0.6 Put -0.3, -2, -0.08, -4/5 in descending order. -0.08, -0.3, -4/5, -2 Sort 0.3, -3.14, -1, 2/5. -3.14, -1, 0.3, 2/5 Sort 15, -3, -5, 19, -2 in decreasing order. 19, 15, -2, -3, -5 Sort -1, 11, 2, -2, -11. -11, -2, -1, 2, 11 Sort 8, -89, -2, 4. -89, -2, 4, 8 Put 0.3, 0.5, -29, -4, 2/9 in descending order. 0.5, 0.3, 2/9, -4, -29 Sort 0.1, -1/5, 0.03, 56, 2 in ascending order. -1/5, 0.03, 0.1, 2, 56 Put 5, -3/7, 4/3, 23 in decreasing order. 23, 5, 4/3, -3/7 Put -4, -1.05, -0.2 in decreasing order. -0.2, -1.05, -4 Sort 0, 16, -1, -4, -2. -4, -2, -1, 0, 16 Sort 0.4, 4, 1, 8. 0.4, 1, 4, 8 Put 3/7, 2, -1, -82 in descending order. 2, 3/7, -
{ "pile_set_name": "DM Mathematics" }
er: 1126 or 1125? 1126 Is 137 at most 138? True Which is smaller: -698/3 or -234? -234 Is 10/49 at most -1? False Which is smaller: 1427 or 5705/4? 5705/4 Is 244 >= 245? False Which is smaller: -102 or -166? -166 Which is smaller: -244 or -1? -244 Is 0 >= 3/4708? False Does 2 = 80.4? False Which is greater: -14/101 or 0? 0 Is -124 bigger than -1? False Which is smaller: -82 or -0.2? -82 Is -10717 greater than or equal to -10716? False Are -2/3 and -8368 non-equal? True Which is greater: -0.0272 or -2? -0.0272 Is -11573 at most -11574? False Which is smaller: -66 or -81? -81 Which is smaller: 5 or -95? -95 Is -1099 less than -1097? True Which is greater: -465 or -2? -2 Which is bigger: 214 or 207? 214 Which is smaller: -891 or -890? -891 Is -673/15 less than or equal to -45? False Are -0.4 and 97 non-equal? True Which is greater: 516 or 514? 516 Which is bigger: -119/18 or -6? -6 Is -4456 smaller than -4458? False Which is smaller: -5135 or -5137? -5137 Which is greater: 1 or -4/195? 1 Which is smaller: 2 or 27/43? 27/43 Which is greater: -1101 or -1100? -1100 Is 4.57 at most as big as -2/3? False Which is bigger: 1387/5 or 276? 1387/5 Is 0 at least 32/121? False Is -4/1091 >= 1? False Is 0 equal to -1/2396? False Do -83 and -84 have different values? True Is -6592/7 greater than -941? False Is 312 bigger than 338? False Do 157 and -0.3 have different values? True Which is smaller: 1 or -3/253? -3/253 Which is bigger: 1 or 6258? 6258 Is 1 > -4/37? True Is 981/28 > 36? False Which is bigger: 0 or -2/30825? 0 Is -182 smaller than -180? True Which is smaller: 8 or -1.01? -1.01 Are -41/33 and -2 nonequal? True Is 1 less than -318? False Which is bigger: 1/632 or 1? 1 Which is bigger: 2 or 32/45? 2 Are 1 and 2/1965 nonequal? True Which is smaller: -320 or -323? -323 Is 52 greater than 47? True Which is smaller: 603/2 or 301? 301 Are -258 and -3 nonequal? True Is -1/4 at most as big as 912? True Is -0.148 equal to -1? False Is 4696 <= 4698? True Is 3720 > 3722? False Which is bigger: 249 or -1/4? 249 Is -812 not equal to -813? True Do 257 and 258 have the same value? False Which is smaller: -1 or 8/185? -1 Is 22186 equal to 22186? True Which is greater: 349 or 350? 350 Do -1 and -7/9368 have different values? True Which is greater: 414 or 416? 416 Which is greater: -21 or 6/5? 6/5 Is 224 >= 223? True Are -1 and 1/4264 non-equal? True Are 1 and 1/599 nonequal? True Which is bigger: -26 or -24? -24 Is 2/775 greater than or equal to -1? True Which is greater: 10/19 or 4? 4 Do -9847/3 and -3283 have the same value? False Is 7 <= -3.04? False Is 42 at most -3.5? False Which is bigger: 0 or -4.8? 0 Is -231 equal to -237? False Which is smaller: 1.9 or 0.01? 0.01 Is -23578 at least as big as -23579? True Are -277 and -275 unequal? True Is -0.19 less than -492? False Is 1 less than or equal to 1/2075? False Do -557 and -557 have the same value? True Is 1 greater than or equal to 2/1745? True Is -0.39 at most as big as 0.4? True Which is smaller: -19/108 or -1? -1 Are -0.2 and -2/5 non-equal? True Which is smaller: -1181 or -1185? -1185 Which is smaller: -184 or -183? -184 Is 287 equal to 287? True Which is smaller: -15/7 or 1/7? -15/7 Is 3/14 <= -1.4? False Which is smaller: -1/454 or 0? -1/454 Which is greater: 1 or 6/2065? 1 Is 1830/13 < 141? True Which is smaller: -709/13 or -56? -56 Is 1321 smaller than 1320? False Which is greater: 7855 or 7854? 7855 Which is greater: -0.1 or -12? -0.1 Which is smaller: 23/44 or 0? 0 Is 342 < 348? True Which is greater: 44321 or 44322? 44322 Which is smaller: 379 or 381? 379 Is -34 smaller than -22? True Is -2461 at least as big as -2465? True Do 9/1654 and 1 have different values? True Is 1596 at least as big as 0.1? True Which is greater: 0.1 or 3/8? 3/8 Is 22/45 greater than -1? True Which is bigger: 0.1 or 0.35? 0.35 Is -6/221 bigger than -1? True Is -5 <= -13? False Which is smaller: 1/7 or -6? -6 Which is smaller: -59/5 or -13? -13 Which is smaller: -7 or 17.3? -7 Which is smaller: -2/337 or -1? -1 Which is greater: -9/115 or 1? 1 Which is smaller: -89 or -87? -89 Is 0 at least as big as -2/3757? True Is -404 not equal to -404? False Which is smaller: -2/89 or 0? -2/89 Which is bigger: 58151 or -0.1? 58151 Which is bigger: -1 or -1/1640? -1/1640 Is 4/93 at least as big as 0? True Is 117 >= 120? False Are -3 and 21.1 equal? False Which is smaller: 851 or 852? 851 Do 29702 and -1 have the same value? False Are -1/2 and 0.0668 non-equal? True Which is smaller: 2/13 or 4.31? 2/13 Is -220 not equal to -16? True Is 1/30 at least as big as -1? True Which is smaller: 1/6 or 1? 1/6 Which is greater: 123 or 1596/13? 123 Is 444 equal to 25? False Which is greater: 275 or 3022/11? 275 Which is greater: -1025 or -1021? -1021 Which is smaller: -4/389 or 0? -4/389 Is 78 > 1/100? True Is 13 at least as big as 35/3? True Which is greater: -5486 or -5485? -5485 Is -227 >= -226? False Is -274 != -277? True Is 5767 at most as big as 5764? False Which is smaller: 0.1 or 661? 0.1 Which is smaller: -452 or -1/4? -452 Which is smaller: -18 or -1806/101? -18 Is -25 less than -23? True Which is smaller: -141 or -137? -141 Which is bigger: -55 or 2? 2 Which is smaller: -5 or -3? -5 Is 1 at most 1/740? False Which is smaller: -8 or -46/5? -46/5 Are -1 and 18/2983 unequal? True Are -526/5 and -105 unequal? True Is -8 > 88? False Which is greater: 0.12 or -27/4? 0.12 Which is greater: -1373/2 or -688? -1373/2 Which is smaller: -7 or -122/17? -122/17 Which is bigger: -126 or -2/3? -2/3 Is -0.05 not equal to -0.103? True Is 1147 > 1148? False Is 186 < 188? True Which is smaller: -185 or -183? -185 Which is bigger: 113 or -2? 113 Which is greater: 13891/4 or 3474? 3474 Is -1013 not equal to -1013? False Which is greater: -1 or 1/487? 1/487 Which is bigger: 1 or 3/2053? 1 Are 88/37 and 3 equal? False Which is smaller: 8 or -7? -7 Which is greater: -161 or -157? -157 Is -11 greater than or equal to -13? True Which is greater: 9545 or 9542? 9545 Which is smaller: -1 or -1/4628? -1 Is -3251 > -3253? True Which is smaller: 159 or 163? 159 Which is smaller: 1/65 or -63? -63 Which is bigger: -3/2936 or 1? 1 Which is smaller: 2654 or 0.2? 0.2 Which is bigger: 1 or -26/285? 1 Are -5.185 and -0.2 non-equal? True Which is smaller: -211 or -210? -211 Is 41 < 26? False Is -104 less than 0.5? True Is -3 at most as big as 1746? True Which is greater: 0.56 or -11/5? 0.56 Are 5/542 and 0 non-equal? True Is 2/13 bigger than -5/6? True Which is greater: 7 or 16? 16 Which is smaller: 224 or 228? 224 Do 13/3 and 0.52 have different values? True Is -4/301 < 0? True Which is smaller: -3618 or 7? -3618 Which is smaller: 0.0063 or -3? -3 Which is bigger: 6041 or 6040? 6041 Is 0 bigger than 2/4023? False Is -34 at most as big as -73? False Is -44/27 < -1? True Is 152 bigger than 154? False Which is bigger: 0 or 0.95? 0.95 Are 4944 and 4944 equal? True Are -2881 and -2881 unequal? False Is 8/601 at least 0? True Is 0 less than 5/238? True Are -7/83 and 0 equal? False Do 0 and 1/334 have different values? True Do 2 and 77/26 have the same value? False Which is greater: -711 or -712? -711 Which is smaller: 35/4 or -127? -127 Is 2/5 at most as big as 16.7? True Is -47202 != -47202? False Which is smaller: 2638 or 2637? 2637 Which is greater: 1584 or 0.2? 1584 Is 1320 bigger than 1314? True Is -1 smaller than 43? True Which is smaller: -32 or 93? -32 Is 12.5 greater than 2? True Which is smaller: -2/5 or 168? -2/5 Is -1 at least -41? True Which is smaller: -493.8 or -2/9? -493.8 Which is bigger: 1 or -9/10? 1 Is -55 less than or equal to -54? True Which is smaller: 352 or 3178/9? 352 Which is bigger: 0 or -4/805? 0 Is -1/317 at most as big as -24? False Is 20 bigger than -4? True Which is smaller: -0.2 or 16.9? -0.2 Are 669 and 668 unequal? True Which is greater: -10325/4 or -2582? -10325/4 Which is greater: -2210 or 1? 1 Is -1/256 bigger than -1? True Are -1 and -35/48 equal? False Which is bigger: -7124 or -7125? -7124 Which is greater: 1/2 or -379.7? 1/2 Is 21/17 < 2? True Is 0 smaller than -7/113? False Which is bigger: -0.1 or 0.119? 0.119 Which is greater: -12/7 or -40? -12/7 Which is greater: -4 or -501? -4 Which is smaller: 644/5 or 129? 644/5 Is 95/14 > 8? False
{ "pile_set_name": "DM Mathematics" }
.07. What is the nearest to i in 0.3, -2, j? 0.3 Let o be 2/7 - (-24)/(-35). Let g(s) = 13*s**2 + s - 2. Let n be g(-2). Let t be 3*1*4/n. Which is the closest to -2/9? (a) t (b) o (c) -4 b Let u(v) = v**3 + 4*v**2 - 3. Let f be u(-3). Suppose w - g + 3 = 0, -3*g = 2*w + g - f. What is the closest to w in 0.1, 0, 1/5? 0 Let o = 16 - 16.3. Which is the nearest to -1? (a) o (b) 3/7 (c) -4 a Let b = -0.2 + 0.3. Let u = -27 + 28. What is the nearest to b in u, -0.1, -2/5? -0.1 Let s = 0.3 - 0.5. Let v = -0.09 + 0.05. Let d = -1.04 - v. Which is the nearest to 0.1? (a) s (b) 1/7 (c) d b Let o = -71 + 74. What is the nearest to 1 in -1/11, o, 5? -1/11 Let t be 3/(3/5) + -1. Suppose -14 = 2*q - t*q. Let x(c) = -c**2 + 7*c - 1. Let u be x(q). What is the closest to u in 0.3, -5, -2/3? -2/3 Let h = 168 - 1850/11. Which is the nearest to 1? (a) 2 (b) h (c) 2/3 c Let s = -1 + 0. Let v = -22 + 23.5. Let g = -1.7 + v. Which is the nearest to s? (a) -0.5 (b) 0.5 (c) g a Suppose -3*q = -2*j - 1, -4*j + 4 - 3 = -5*q. What is the closest to 1 in q, 2/3, 4/9? 2/3 Let f = 8.6 + -9. Let j = 0 + f. What is the closest to 0.1 in 5, j, -1/3? -1/3 Let g be -2 + 1 + 0 - 2. Let y = 6.07 + -6. Let j = y + -0.17. What is the closest to j in -0.1, 5, g? -0.1 Suppose 0 = -4*l + y - 15, 0 = -3*l + 3*y + y - 21. Let a = 0.29 + -0.09. What is the nearest to -1 in l, a, 0.4? a Let s be (21/133)/((-3)/2). Which is the closest to -1? (a) -1 (b) 5 (c) s a Let s = 8 + -4. Let n = 75 + -149/2. Which is the nearest to 1? (a) -0.1 (b) s (c) n c Let r = -0.7 - -0.4. Let x = 0.5 + 0.5. Which is the nearest to x? (a) 2 (b) r (c) -0.2 a Suppose 10 = -n + 6*n. Let m = 463174/3809 - -2/19045. Let u = -122 + m. Which is the nearest to -0.2? (a) u (b) n (c) 3/4 a Suppose -3*g + 15 = 3*y, 7 - 32 = 4*y - 5*g. What is the closest to 0 in -4, -1, y? y Let x = 13 + -12.6. Let u = 0.5 - x. What is the nearest to 3 in u, 2/3, -3/2? 2/3 Suppose -12*d = -2*d. Let j = -23 - -32. Let v = 6 - j. What is the closest to d in 0, v, 2/3? 0 Let f = 0.73 - 0.43. Which is the closest to f? (a) -1/2 (b) 3/8 (c) 4 b Suppose -5 = 4*y + 4*g - 33, -y = -2*g + 8. Which is the nearest to 1? (a) -3 (b) y (c) 1 c Let z be 44*2/5 + 0. Let i = -606/35 + z. Let j(g) = -g**3 + 9*g**2 - 9*g + 3. Let s be j(8). What is the nearest to 2 in s, 4, i? i Let l = 2/123 + 232/861. Which is the closest to -4? (a) -3/5 (b) 0.2 (c) l a Let y = -0.6 + 1. Which is the nearest to 1? (a) -1 (b) -1/8 (c) y c Let s(h) = 2 + 1 - 4 - 2*h. Let x be s(-1). Let m be (0/(-1) + x)*-1. What is the nearest to m in 0.1, -0.1, -3/2? -3/2 Let f = -0.35 - -0.05. Let k = 8 + -11. What is the closest to 1/2 in k, f, -2? f Let g be (-6)/3*(-2)/(-16). Suppose 20*w - 19*w = 2. Let f = -0.1 + -2.9. What is the closest to g in 0, w, f? 0 Let g = -0.38 - 0.09. Let s = g + 0.07. Let m = -122/15 + 34/5. Which is the closest to -2? (a) 2/9 (b) m (c) s b Let l = -3.95 + -0.05. Let t = 4 + l. Which is the nearest to -1? (a) 4 (b) -3 (c) t c Let s be (-2)/(-7)*14/42. Let r = 0.3 - -0.2. What is the closest to -2/3 in s, r, -1/9? -1/9 Let r = -35 + 38. Which is the closest to 0.1? (a) -0.2 (b) r (c) -2 a Let n be -2 + 46/14 + -1. Which is the nearest to -1? (a) -2 (b) 4 (c) n a Let r = 16 + -13. Which is the nearest to 1? (a) 2/13 (b) r (c) 0.02 a Let z = -0.31 - -0.61. Which is the closest to -0.1? (a) 2/3 (b) z (c) -1 b Let p be -2 - (-1 - 898/(-9)). Let q = p - -101. Let o = 0.031 + 0.369. Which is the nearest to -3/2? (a) q (b) o (c) 3 a Let j = 67 - 64. What is the nearest to 0 in 0.4, j, 1? 0.4 Let r = 1.05 + -0.05. Which is the closest to 1? (a) 3/2 (b) -1 (c) r c Let r = 0.02 - 0.52. Let u be 2106/(-33) + 2/(-11). Let m be 4/10 - u/(-60). Which is the closest to m? (a) r (b) 1/6 (c) -5 a Let h = -0.133 + 1.133. Which is the nearest to h? (a) 1/2 (b) -10 (c) -4 a Let y be 2*-4*(-1)/2. What is the nearest to 2 in y, -1/2, 5? y Let m = 3 - 5. Let h = m - 1. Let s be (-1)/(-2)*(-8)/26. Which is the nearest to -0.2? (a) s (b) -0.1 (c) h a Let q = -65/2 - -32. Let z be (5/6)/(0 + 20/16). Which is the closest to q? (a) -2 (b) z (c) 0 c Let h be ((-21)/(-35))/(3/4). Let n = 2 - 5. Let a = 4 + n. What is the closest to a in h, -2/9, 2? h Let f = 23 + -22.82. What is the closest to f in -5, 1, -0.1? -0.1 Suppose 0 = -y - 52 - 32. Let h be (7 + -2)*508/30. Let v = y + h. Which is the closest to -1? (a) -1 (b) v (c) 5 a Let l = -8 + 8.4. What is the nearest to 1 in l, 2/23, 0.2? l Let t = -3.25 - 0.5. Let o = t + 0.65. Let x = o + 3. Which is the closest to -0.2? (a) x (b) -3 (c) 2/7 a Let n = -15.3 - -15. Which is the closest to n? (a) -0.4 (b) 5 (c) -1 a Let w = 1 - 3. Let h = -2 - w. Let g = 26 - 105/4. What is the nearest to g in -0.3, -5, h? -0.3 Let k = -0.5 + 1. Let b = 42 + -38. What is the nearest to 0 in k, b, 0.2? 0.2 Let x = 12.4 + -12. Suppose -3*p = -5*o + o + 31, o - 2*p = 14. Let c be 0/(-1) + o/6. What is the closest to c in x, -3, -1/7? x Let t = 29 + -30. Which is the nearest to 2/23? (a) -2/11 (b) 0.2 (c) t b Let w = 25 - 18. Let p = -8 + w. What is the closest to 1 in -2/11, p, -1/10? -1/10 Let n = -278/3 - -93. Which is the nearest to n? (a) 4/11 (b) -2/5 (c) 0.1 a Let i = 1094 + -5449/5. Let b = 36093/10 + -3614. Let n = i + b. What is the closest to n in -1, -2, 5? -1 Let d = -0.6 - 0.4. Let o = -12 - -61/5. What is the closest to d in o, 1, 3/4? o Let o = 66 + -196/3. Which is the closest to -2/5? (a) -3 (b) o (c) -0.4 c Let k = 7/12 + -5/6. Which is the closest to 3? (a) k (b) 3 (c) -5 b Let m = -1.9 + -3.1. What is the closest to -2/3 in 0, m, 0.5? 0 Let s = 41 + -38. Which is the nearest to 1/4? (a) -2/11 (b) s (c) 1 a Let x = -0.1 - -1.1. Let g = 6.4 - 6. Which is the closest to 0? (a) g (b) x (c) -5 a Let z(s) = -s**3 + 29*s**2 + 27*s + 75. Let o be z(30). Which is the nearest to -2/3? (a) o (b) -5 (c) -3/8 c Let z = -55 - -167/3. Let k = 0.2 - 0.3. Let s be -1*(-2)/4*4. Which is the nearest to z? (a) -2/9 (b) k (c) s b Suppose 0 = -2*m + 5*x + 18, -m + x + 2 = m. What is the nearest to -1/3 in -0.2, m, -0.05? -0.2 Let k = -0.01 + -2.99. Let c = k + 5. Let j(i) = i**2 + 3*i - 3. Let f be j(-3). What is the nearest to c in -2, 3, f? 3 Let u = 2/23 + -52/69. Let i be ((-16)/(-6))/(-4)*(-9)/4. Which is the closest to -1? (a) i (b) -3 (c) u c Let q = 0.8 + -0.5. Let w = -4554/17 + 268. Which is the nearest to -0.3? (a) w (b) 0.5 (c) q a Let y(s) = -s**3 + 5*s**2 + 5*s + 4. Let r be y(6). Let b = -13 + 19. Let h be 4/b*6/(-4). What is the nearest to 0.1 in r, h, 3? h Suppose 3*q + 3 = 4*f - 0*q, -4 = -4*f + 4*q. Suppose -5*b + f*b + 20 = 0. Let t = -3 - 2. What is the closest to 0 in 2/5, t, b? 2/5 Let w(y) = -y**3 - y**2 - 1. Let q be w(0). Let k = -1.8 - -1.8. Which is the nearest to -2/7? (a) 1 (b) q (c) k c Let w be ((-6)/4)/((-18)/(-8)). Let b = 19.7 + -25. Let x = -5 - b. What is the nearest to 0.1 in w, -0.4, x? x Let u = -4035.04 - -3911. Let v = u + 121. Let t = 0.04 + v. What is the closest to -0.1 in -5, 0.5, t? 0.5 Let x = -193/4 - -2517/52. What is the nearest to 2/3 in -1/5, x, -2? x Let d = -0.34 - 0.06. Let i = 0.01 + -0.21. What is the nearest to 1 in 1/8, d, i? 1/8 Let m = 3/26 - 8/13. Let h(g) = -g + 2. Let w be h(3). Let u = w - 0. Which is the closest to u? (a) -3 (b) 1/4 (c) m c Let r = 0.01 - -1.99. Let m = -68/5 + 14. Which is the closest to 0.2? (a) -3/8 (b) m (c) r b Let u = 3 + -4. Let b = 0.046 + -0.146. What is the nearest to u in -5, b, 1/3? b Let d = -0.2 - -0.6. Let n be 11/33 - 20/6. Let b = -2 - -1.6. What is the nearest to -4 in n, d, b? n Let g = -54.06 - -54. Which is the closest to -0.1? (a) g (b) -0.1 (c) 3 b Let l be -2 - -1 - 14/(-10). Let x(t) = t**3 + 4*t**2 + 4*t + 3. Let i be x(-2). Let u be (-27)/(-18)*2/5. Which is the nearest to i? (a) u (b) -5 (c) l a Let w be (3 - 5)*6/(-24). Which is the closest to -2/7? (a) -1 (b) 4 (c) w a Let m(v) = v**3 + 11*v**2 - 42*v + 3. Let k be m(-14). Let b = 267 + -2139/8. What is the nearest to k in b, -2/5, -1? b Let k = 4 - 9. Let d = -0.02 - 0.28. Which is the closest to 2/7? (a) k (b) d (c) 3/4 c Suppose 2*o + 4*g + g = -30, 4
{ "pile_set_name": "DM Mathematics" }
0)*-8*55/(-1232)? 2/7 What is -2*-3*(-3)/12? -3/2 (57/399)/((-1)/(4/2)) -2/7 What is ((-6)/18)/(20/24)? -2/5 What is (70/(-441))/(-5)*3/1? 2/21 What is the value of (5/(200/(-30)))/3? -1/4 Calculate ((-1)/(-6))/(-3*(-7)/(-84)). -2/3 What is 8/20*2/4? 1/5 What is the value of (3*(-2)/(-162))/(2/24)? 4/9 What is (12/(-21))/(1/(-7))? 4 Calculate (4/10)/((-14)/(-5)). 1/7 Calculate 10*(4/6)/((-4)/3). -5 Calculate -3*-6*1/81. 2/9 What is the value of ((-14)/(-7))/(4/(-6))? -3 What is ((-4)/12)/(5/(-15))? 1 Evaluate (1/2*(-4)/8)/1. -1/4 What is the value of (24/6)/((-2)/(-4))? 8 Evaluate (-2*4/6)/(10/(-15)). 2 Evaluate 4/((252/(-2))/9). -2/7 Evaluate (12/(-8)*2/(-3))/2. 1/2 Evaluate (-240)/(-150)*(-10)/(-8). 2 Calculate ((-1)/(-5))/(24/15)*6. 3/4 What is 3/1*84/(-63)? -4 What is the value of (((-18)/(-3))/30)/(12/(-30))? -1/2 Calculate (-1)/(3/(-6)*-1). -2 What is the value of (304/1596)/(2/7)? 2/3 9/(-81)*6/(-1)*2 4/3 What is the value of ((-2)/(6/1))/((-16)/(-12))? -1/4 Calculate (-170)/(-17)*((-10)/(-12))/(-5). -5/3 What is 810/180*2/15? 3/5 What is ((-12)/(-20))/((-12)/(-40))? 2 (4/28)/(2/14*-2) -1/2 Calculate 2/((-4)/(-5))*(-8)/(-20). 1 Evaluate (26/(-78))/((-4)/(-6))*0. 0 Evaluate (1*3/(-2))/(21/(-56)). 4 Evaluate 3*5*(-1)/(-15). 1 Calculate -1*(0/3)/(-6). 0 Calculate 7/((-420)/6)*-2*5. 1 What is the value of ((-1)/((15/(-18))/(-5)))/(-10)? 3/5 Calculate 0/(2*5/(-5)). 0 1/(-2)*75/50 -3/4 What is the value of (1*(-2)/6)/((-7)/3)? 1/7 What is 18/(-4)*202/303? -3 (-2)/4*230/(-23) 5 What is the value of ((-320)/(-105))/(-16)*6/(-4)? 2/7 -1*(48/18)/(-8)*3 1 What is ((-39)/156)/((-4)/(-40))? -5/2 Evaluate ((-1)/(-2))/((-35)/(-7)). 1/10 (-4)/(((-2)/7)/((-6)/42)) -2 What is the value of (-2)/35*42/(-6)? 2/5 What is the value of (-2)/(-11)*187/51? 2/3 Calculate -1*(-11)/((-715)/10). -2/13 ((-4)/6)/(6/(-45)) 5 Calculate ((-272)/(-34))/((-4)/(-2)). 4 (-3*(-8)/(-12))/1 -2 What is (-12)/(-20)*6/(-9)? -2/5 4*(-3)/18*60/(-20) 2 What is ((-1)/3)/((63/7)/108)? -4 Calculate (-8)/14*(-105)/(-30). -2 5/30*4*-6 -4 Calculate (-6)/(-9)*(117/24)/13. 1/4 Evaluate 5/10*20/5. 2 Evaluate ((-36)/108)/((-1)/(-18)). -6 Evaluate (0/4)/((-1)/((-1)/(-1))). 0 Calculate (-18)/48*4*5/(-3). 5/2 Evaluate 3/(-9)*(-2)/(-3)*9. -2 Evaluate (-1)/(2/(-10)*(-140)/(-56)). 2 Evaluate (20/(-12)*-1)/((-9)/(-27)). 5 Evaluate -1*((-56)/10)/(-7). -4/5 Evaluate ((-132)/8)/11*(-2)/(-7). -3/7 Calculate 4/(-3)*(-18)/24. 1 What is 2*(-3)/2*4/3? -4 What is the value of ((96/8)/2)/(-14)? -3/7 What is 4/18*(-150)/(-100)? 1/3 Evaluate ((-30)/45)/((-5)/3). 2/5 Calculate (-30)/(-14)*3/(-15). -3/7 Calculate (25/6)/(-5)*(-36)/40. 3/4 What is (1/(-3))/((-575)/(-1380))? -4/5 Evaluate -1*7/(21/15). -5 Evaluate (2/(80/(-8)))/((-5)/5). 1/5 What is the value of (1/26)/((-4)/16)? -2/13 Evaluate (-5)/30*(-3)/(-1)*2. -1 What is the value of (1*3/(-9))/((-14)/(-126))? -3 Calculate (3/(-15)*-5)/((-4)/8). -2 Evaluate 79/158*5/((-5)/12). -6 What is (-1*2/(-18))/((-5)/5)? -1/9 945/(-280)*(-4)/3*-2 -9 What is -3*-2*3*2/(-36)? -1 What is 32/56*126/(-12)? -6 What is 4/(-12)*-3*1*-5? -5 What is 15*(-2)/((-24)/4)? 5 Calculate 0/((-2)/(-10)*10). 0 What is the value of (-3)/3*1*(-116)/(-986)? -2/17 (12/(-8))/(1/(-2)) 3 What is (0/2)/((-680)/(-170))? 0 What is (1*0/(-4))/(1*2)? 0 Calculate 5*-12*(-10)/(-200). -3 What is ((176/(-84))/11)/(20/(-6))? 2/35 Calculate (945/(-1260))/(((-3)/4)/3). 3 What is the value of (5/(-30))/((-1)/2)*-15? -5 Evaluate ((0/5)/(-11))/1. 0 Evaluate (4/3)/((-12)/(-108)*102). 2/17 Calculate ((-12)/(-3))/((-34)/(-51)). 6 What is the value of (-780)/520*(-20)/(-6)? -5 What is ((-32)/(-64))/(2*(-2)/6)? -3/4 What is ((21/(-6))/7)/(14/252)? -9 What is ((-1)/5)/(-20*(-9)/720)? -4/5 What is 10/(-4)*(-12)/(-105)? -2/7 1/2*7/7*10 5 What is the value of (-1)/(6/20)*66/(-44)? 5 Evaluate (2/(20/(-6)))/(12/15). -3/4 What is the value of (1/1)/(8*12/192)? 2 What is (-1)/(5/(-5)*1)? 1 (148/185)/(2*6/(-20)) -4/3 Evaluate (4/98*14)/((-34)/7). -2/17 (-4)/4*-2*(-1)/(-2) 1 Calculate ((-5)/40)/((-6)/(-8)). -1/6 What is (1/(-2))/(6*10/(-360))? 3 What is (4/8)/((-3)/(-36)*-3)? -2 What is 12/(-18)*9/(1/(-1))? 6 What is the value of ((-6)/8)/((-45)/400*-5)? -4/3 What is the value of (((-20)/(-1))/2)/((-6)/3)? -5 Calculate 24/(-39)*(-3)/12. 2/13 Calculate ((-4)/6)/(200/(-180)). 3/5 Evaluate (((-24)/(-27))/(-4))/(8/(-8)). 2/9 Calculate 83/(-166)*-4*2/(-4). -1 What is the value of 10/(-5)*(44/56)/(-11)? 1/7 What is (42/(-63))/(1/15)? -10 What is the value of ((-21)/28)/(9/(-6))? 1/2 (-1)/2*(-98)/(-49) -1 ((28/15)/(-7))/(14/(-21)) 2/5 Calculate (5/(45/(-2)))/((-144)/81). 1/8 (-6)/12*15/10 -3/4 Calculate (2/(-4))/((-12)/4). 1/6 What is the value of 6*(-4)/(20*2)*1? -3/5 (-5)/(-2)*(-56)/35 -4 What is the value of 6/(-4)*120/300? -3/5 Evaluate ((-7)/((-147)/7))/((-3)/4). -4/9 Evaluate -2*(-3)/42*2/2. 1/7 ((-1)/(-6))/(36/(-81)) -3/8 What is (-2*1)/((-92)/230)? 5 Evaluate (-3)/5*-3*6/(-27). -2/5 Evaluate ((-62)/(-558))/(1/(-9)). -1 ((-1)/1)/((-6)/3*-1) -1/2 (75/(-12))/5*4/(-30) 1/6 Calculate 8/((-16)/(-2))*-8. -8 What is the value of (-25)/(-10)*6*1/(-3)? -5 What is the value of (((-3)/1)/(-12))/((-5)/(-12))? 3/5 What is the value of (-2)/66*(-24)/4? 2/11 What is ((-164)/123)/((-10)/(-3))? -2/5 (-48)/(-18)*(-36)/16 -6 What is (-3)/3*(-8)/(8/3)? 3 Evaluate 3*(-1)/(-9)*(-120)/220. -2/11 What is (-48)/(-32)*(-112)/21? -8 Calculate ((-6)/8)/(109/872). -6 What is the value of (-12)/(-7)*14/12*4? 8 Evaluate (-13)/(39/2)*(-1)/(-5). -2/15 (-30)/(-9)*12/(-10) -4 What is the value of ((-2)/(-42))/((65/30)/13)? 2/7 Calculate 10/(-4)*570/475. -3 (((-9)/60)/(-1))/((-12)/10) -1/8 Evaluate 2/(-8)*56/133. -2/19 (-30)/4*-9*(-4)/54 -5 Calculate (4/(-3))/((126/(-27))/1). 2/7 (6/18)/(128/(-24)) -1/16 What is (5/2)/((7/1)/(-14))? -5 Calculate (96/168)/(2/21). 6 (-1)/3*(-7)/14 1/6 Calculate (-2)/2*10/20. -1/2 What is (((-4)/(-12))/1)/((-4)/3)? -1/4 What is 3*2/(-6)*-1? 1 (-6*1)/(306/408) -8 Calculate 12/21*-7*(-10)/(-20). -2 Calculate ((-134)/67)/(5/((-30)/(-4))). -3 (6/34)/(2/(44/(-33))) -2/17 What is the value of ((-2)/5)/((-10)/(-300)*-2)? 6 Calculate (1/2)/((140/8)/7). 1/5 (4/(-10))/((288/(-40))/(-9)) -1/2 What is the value of ((-8)/70)/(4/10)? -2/7 -3*(-16)/(-12)*7/(-112) 1/4 Calculate 5*6/240*3*2. 3/4 (2/2*3)/(3/(-4)) -4 Calculate (3*6/(-18))/((-8)/(-1)). -1/8 What is (-5)/(-30)*15*-2? -5 (2/(-6))/((-21)/63)*-4 -4 Calculate (-72)/27*3/2*-1. 4 What is (7/(7/(-2)))/(-2)*-3? -3 What is the value of (1*6/12)/((-2)/1)? -1/4 What is ((-30)/(-5))/(6/(-4))? -4 What is the value of 3*4/(((-12)/(-4))/(-1))? -4 What is the value of 4/(-8)*-1*(-64)/56? -4/7 Evaluate ((-98)/(-7))/(10/(-5)). -7 Evaluate (((-2)/(-6))/(-1))/(3/45). -5 Evaluate (-4)/(-12)*(-6)/(-14). 1/7 What is the value of 60/36*(-2)/((-2)/3)? 5 Evaluate (15/(-45))/((-1)/(-3)). -1 Evaluate (-12)/(-630)*9*(-160)/24. -8/7 3*2/(-4)*(-136)/(-68) -3 Evaluate (8/10)/(122/305). 2 Calculate ((-4)/(-4))/((-2)/6). -3 What is the value of ((-6)/12*1)/(5/2)? -1/5 Calculate (-3)/5*((-91)/13)/(-7). -3/5 Evaluate (-1)/(-2)*5/(-55)*0. 0 Evaluate (-2*1/(2/2))/(-14). 1/7 What is the value of ((-1)/1)/(3/(-7))*3? 7 Evaluate 2/((15/10)/((-6)/8)). -1 (12/8)/(9/30) 5 ((30/4)/5)/((-56)/(-112)) 3 (-435)/(-58)*(1/(-1))/25 -3/10 What is 9/(54/(-4))*(-54)/18? 2 What is the value of 166/(-249)*(2/4)/(-1)? 1/3 2/(((-1)/(-1))/(14/7)) 4 Calculate (-18)/(-3)*((-1)/(-16))/1. 3/8 What is the value of 32/2*173/346? 8 (-14)/(-4)*6*(-14)/(-42) 7 What is the value of (12/(-80))/((-6)/30)? 3/4 ((-18)/(-132))/((-2)/(8/(-3))) 2/11 (1/(2/3))/(10/20) 3 -5*(-6)/(-15)*1/(-1) 2 Calculate (((-5)/6)/5)/(163/652). -2/3 (-14)/7*3/(12/8) -4 What is the value of 18/84*-8*3/(-18)? 2/7 Evaluate (36*9/(-36))/(6/(-4)). 6 What is (36/(-42))/((-6)/28)? 4 What is the value of (-2)/(-6)*6*4/(-80)? -1/10 What is the value of ((-5)/(-6))/(4/(-12))*-2? 5 Evaluate (9/27)/((-2)/(-2)). 1/3 Evaluate (-6)/(8/(64/12)). -4 (-4)/2*(-25)/(50/4) 4 (2/14)/(((-450)/(-105))/3) 1/10 1/(-3)*1/(-1) 1/3 (2/10)/(21/(-21)) -1/5 Evaluate (-13)/(78/72)*(-2)/44. 6/11 Evaluate (-4*(-6)/(-252))/(6/9). -1/7 Evaluate (-16)/(-2)*2/48. 1/3 Calculate (2*-1)/(1*8/6). -3/2 (((-14)/4)/1)/(68/136) -7 Calculate 1*10*(-1)/2. -5 Calculate 3*(819/(-27))/(-13). 7 What is the value of ((-10)/4*3)/(
{ "pile_set_name": "DM Mathematics" }
- 12 = 3*x. Determine x*t(o) - k(o). -2*o - 2 Suppose 3*x = 2*j - 22, -2*j - 127 = x - 125. Let o(d) = -5*d**2 + 5*d + 5. Let g(w) = -4*w**2 + 6*w + 6. Give x*o(t) + 5*g(t). 10*t**2 Let r(x) = -31331*x + 62667*x - 31332*x - 4*x**3. Suppose -3 - 2 = -5*p. Let d = -2 + p. Let v(h) = -h**3 - h**2 + h. Give d*r(i) + 2*v(i). 2*i**3 - 2*i**2 - 2*i Let x(w) = w**2. Let m = 281 - 278. Let g(b) = b**2. Determine m*g(d) - 4*x(d). -d**2 Let j = 18 - 16. Let t(m) = -5*m + 5. Let o(y) = -6*y - 1. Let b(i) = 5*i + 1. Let k(u) = 7*b(u) + 6*o(u). Give j*t(d) - 11*k(d). d - 1 Let o(h) = 696*h**2 - 11*h - 10. Let c(k) = 697*k**2 - 9*k - 8. Give -5*c(d) + 4*o(d). -701*d**2 + d Let r(o) = 436*o**3 - 64*o**2 + 32*o - 32. Let w(u) = -67*u**3 + 10*u**2 - 5*u + 5. Give 5*r(d) + 32*w(d). 36*d**3 Let t(r) = r - 14. Let o(m) = m - 16. Let f(n) = -6*o(n) + 7*t(n). Let g(s) = s**2. Determine f(v) - 3*g(v). -3*v**2 + v - 2 Let l(w) be the third derivative of w**4/3 + w**3/3 - w**2 + 8*w. Let b(h) = -17*h - 4. Calculate 6*b(o) + 13*l(o). 2*o + 2 Let r(v) = -3*v**3 + 4*v**2 - 4*v. Let i(b) = b**3 - b**2 + b. Suppose 155*l = 158*l - 36. Give l*i(x) + 3*r(x). 3*x**3 Let p = -12 - -46. Suppose -8*j + 6*j = -p. Let g(a) = -3*a - 5. Let y(t) = 9*t + 14. Determine j*g(q) + 6*y(q). 3*q - 1 Let q(i) = -10*i. Let d(x) = 39*x + 18. What is d(l) + 4*q(l)? -l + 18 Let y = -34 - -36. Suppose 0 = y*h + 2*d - 8, -h + 3*d = 2*h - 18. Let x(i) = 3*i. Let p(l) = -4*l. What is h*x(t) + 3*p(t)? 3*t Let v(l) = l**3 + 3*l**2 + 3*l. Let c(j) = -j**2 + 18*j - 6. Let p be c(15). Suppose 6 = -9*r - p. Let q(w) = w**2 + w. What is r*q(d) + v(d)? d**3 - 2*d**2 - 2*d Let i(m) = -217 - 16*m + 88 + 136. Let u(v) = 11*v - 5. Let r(p) = -p**2 + 7*p + 5. Let g be r(7). What is g*i(c) + 7*u(c)? -3*c Let u(i) = 14*i - 4. Let d(k) = 9*k - 3. Let q(s) = s**3 + 5*s**2 + 4*s + 2. Let g be q(-3). Determine g*d(m) - 5*u(m). 2*m - 4 Let x = 107 + -77. Suppose 5*g + x = -15. Let h(c) = -c**2 - 5*c + 5. Let i(p) = -p + 1. What is g*i(z) + 2*h(z)? -2*z**2 - z + 1 Let b(i) = -6*i**3 - 7*i - 5. Let o(y) = 5*y**3 + 6*y + 4. Let m(f) = 38*f + 273. Let g be m(-7). Give g*o(r) + 6*b(r). -r**3 - 2 Let b(u) = u. Let j(m) be the first derivative of m**2/2 - 134. Determine 6*b(a) - 5*j(a). a Let d(i) = -1. Let f(j) = -j - 2. Let r(k) = -k**3 - 18*k**2 - 17*k + 2. Let y be r(-17). Let w(h) = -4*h - 6. Let s(p) = y*w(p) - 10*f(p). Give 6*d(l) + s(l). 2*l + 2 Let c(r) = 131*r + 3. Let n(j) = 134*j + 2. Determine 3*c(s) - 4*n(s). -143*s + 1 Let y(v) = -33*v**3 + 8*v**2 + 8*v + 8. Suppose -l + 6 + 6 = -4*q, l = 3*q + 7. Let p(o) = -11*o**3 + 3*o**2 + 3*o + 3. Determine l*p(t) + 3*y(t). -11*t**3 Let b(c) = -27*c**2 - 623*c + 6. Let x(u) = 8*u**2 + 208*u - 2. Give 2*b(z) + 7*x(z). 2*z**2 + 210*z - 2 Let k(r) = -2*r**2 - 53*r - 2. Let n(t) = 2*t**2 + 52*t + 3. Determine 4*k(l) + 3*n(l). -2*l**2 - 56*l + 1 Let x(z) = 3*z - 1. Let c(p) = -8*p - 12. Give c(s) + 5*x(s). 7*s - 17 Let n(k) = -2*k**3 - k - 2. Let l(s) = -1 - 6*s**3 - 5 - 59470*s + 59468*s. Let f be (-13)/4 + 3/12. Calculate f*l(m) + 8*n(m). 2*m**3 - 2*m + 2 Let j(a) = -a + 3. Let b(u) = -u**2 + 5*u + 1. Let n be b(4). Let d(w) be the second derivative of w**3/2 - 5*w**2/2 - 1188*w. What is n*j(z) + 3*d(z)? 4*z Let h(b) be the third derivative of -b**4/24 + 3*b**2. Let l(w) = -4*w. Suppose 4*f = 4*d + 71 + 9, -2*f + 58 = -3*d. What is d*h(g) + 4*l(g)? 2*g Let x(r) = 9*r**2 - 194*r - 7. Let f(j) = 6*j**2 - 129*j - 5. What is -7*f(v) + 5*x(v)? 3*v**2 - 67*v Let p(c) = -3*c + 2. Let v(l) = l**2 - 2*l + 2. Suppose -41*h = -40*h - 3*g - 10, g + 2 = 0. Determine h*p(y) - 5*v(y). -5*y**2 - 2*y - 2 Let k(p) = 2*p**3 + 7*p**2 - 10*p + 6. Let u(z) = -5*z**3 - 13*z**2 + 19*z - 11. Give -11*k(y) - 6*u(y). 8*y**3 + y**2 - 4*y Let m(z) = -11*z**3 - 2*z**2 - 2*z + 4. Let p(q) = 22*q**3 + 5*q**2 + 5*q - 8. Determine -5*m(k) - 2*p(k). 11*k**3 - 4 Let n(c) = 279*c**2 + 3*c - 2. Let w(x) = -1397*x**2 - 16*x + 11. What is -11*n(l) - 2*w(l)? -275*l**2 - l Let c be 19 + -1 - 3/1. Let l = 21 - c. Let h(s) = -3*s**2. Let j(u) = -u**2. Determine l*h(d) - 15*j(d). -3*d**2 Let q(m) = -15*m**3 - 4*m**2. Let x(u) = -15*u**3 - 4*u**2. Calculate -4*q(r) + 3*x(r). 15*r**3 + 4*r**2 Let k(u) = 30*u**2 + 12*u + 19. Let w(b) = 14*b**2 + 5*b + 9. Let p(s) = 6*k(s) - 13*w(s). Let f(n) = -6*n**2 + 20*n - 8. Calculate -4*f(m) + 11*p(m). 2*m**2 - 3*m - 1 Let o(v) = -2*v + 0*v + 3 + v. Let r(d) = 7*d - 26. Let w(c) = -c**2 - 3*c + 4. Let x be w(-3). Let a be r(x). Let q(h) = -h. Give a*q(s) - o(s). -s - 3 Let s(o) = 9*o**2 + 5. Suppose -72 = 5*q - 9*q. Let x(k) = -8*k**2 - 10 - 4 - q*k**2. Determine 14*s(j) + 5*x(j). -4*j**2 Let i be (1 - 1) + -2 - -4. Suppose -5*r + 3*a = -i*a - 20, 0 = a - 5. Let t(m) = -2 + 2 + 12 - 8*m - 5*m - 9. Let l(d) = -6*d + 1. What is r*l(s) - 4*t(s)? -2*s - 3 Let h(o) = o**2 + 35*o. Let w(v) = -6*v**2 - 139*v. What is -9*h(x) - 2*w(x)? 3*x**2 - 37*x Let j(q) = 4*q + 16 + 3*q - 15 - 7 - 4*q. Let d(t) = 2*t - 5. What is -5*d(a) + 4*j(a)? 2*a + 1 Let s(n) = 5*n + 8. Suppose -33 - 9 = -7*p. Let j(r) = 4*r + 0*r + p*r - 6*r + 7. What is -6*j(f) + 5*s(f)? f - 2 Let w(t) = -t - 1. Let c(u) be the second derivative of 13*u**3 + 65*u**2/2 + 17*u + 2. Give -c(z) - 65*w(z). -13*z Let g(b) = -159*b + 12. Let a(c) = -c + 1. Give -15*a(m) + g(m). -144*m - 3 Let n(b) = -103*b**2 + 2*b + 2. Let r(u) = 618*u**2 - 13*u - 13. Determine -39*n(d) - 6*r(d). 309*d**2 Suppose -35*b + 39*b + 28 = 0. Let g(j) = j - 2. Let u(i) = 1. Determine b*u(z) - 3*g(z). -3*z - 1 Let z(v) = -v - 3. Suppose 351 + 45 = 99*t. Let h(l) = -5*l - 1. Let k(p) = -p + 1. Let o(j) = -h(j) + 3*k(j). Calculate t*z(m) + 3*o(m). 2*m Let y(w) = -w**3 + 2*w**2 + 2*w. Let v(q) = -21*q**2 - 22*q**2 - 9*q + 3*q**3 - 22*q**2 + 56*q**2. Determine -2*v(c) - 9*y(c). 3*c**3 Let n(x) = 3*x + 14. Suppose -14 = 4*r + 6. Let c be n(r). Let m(b) = -1 + b + 0*b + 2. Let o(s) = -s. Calculate c*m(y) + o(y). -2*y - 1 Let j(r) = -4*r**3 - 65*r**2 + 12. Let k(m) = -7*m**3 - 131*m**2 + 20. Calculate -5*j(h) + 3*k(h). -h**3 - 68*h**2 Let i = 12 - 8. Suppose 7*s - 3 = i*s, -s - 4 = n. Let r = 0 + n. Let q(u) = u**2 - 8*u - 8. Let g(z) = z**2 - 5*z - 5. Calculate r*q(h) + 8*g(h). 3*h**2 Let m(k) = -k**3 + k**2 - 11*k + 1. Let y(v) = -v**2 + v - 1. What is m(u) + y(u)? -u**3 - 10*u Let j(d) = 3*d**2 + 3*d**2 - 5*d + 4*d - 2*d**2 - 2*d**2 + 2*d**3. Suppose 3*p - 1 = 2. Let v(q) = q**2 - q + 1. What is p*j(i) - 2*v(i)? 2*i**3 + i - 2 Let b be (12/(-15))/((-1)/(-5)). Let v(h) = -h**2 + h - 1. Let o(p) = -4*p - 57. Let x be o(-14). Let j(z) = -z**3 + 6*z**2 - 4*z + 5. Give b*v(c) + x*j(c). c**3 - 2*c**2 - 1 Let z(s) = 2*s - 1 - 8*s - 10 + 4*s. Let u(d) = d + 5. Let q(c) = -2*c. Let j be q(2). Calculate j*z(r) - 9*u(r). -r - 1 Let m(p) = -17 - 7 - 2*p - 8 + 34 - 4. Let c(o) = o**2 - o - 1. Determine 2*c(s) - m(s). 2*s**2 Let c(l) = -7*l**3 + 5*l + 5. Let t(j) = 8*j**3 - 6*j - 6. Let p = -849 - -843. Determine p*c(w) - 5*t(w). 2*w**3 Let k(q) = q. Let v(c) = 9. Let h(s) = 25. Let t(x) = 4*h(x) - 11*v(x). What is k(m) - 2*t(m)? m - 2 Let d(q) = 13*q - 2. Let y(u) = 26*u - 3. Give 5*d(v) - 2*y(v). 13*v - 4 Let r(n) = 236*n + 12. Let c(g) = -g - 2. Give -5*c(y) - r(y). -231*y - 2 Let o(t) = 7*t - 2*t + 11*t**3 + 0*t. Let c(s) = 6*s**3 + 3*s. Let l be (-2)/((-36)/(-27))*56/12. Calculate l*c(y) + 4*o(y). 2*y**3 - y Let o(f) = 4*f**2 + 5*f - 3. Let b(z) = 3*z**2 + 4*z - 2. Calculate -6*b(y) + 5*o(y). 2*y**2 + y - 3 Let z(o) = o**2 + 11*o + 20. Let v be z(-9). Let n(d) = 1 - 2*d - 60*d**2 + 61*d**v + 4*d. Let x(l) = 7*l + 3*l - l + 5 + 4*l**2. What is 9*n(m) - 2*x(m)? m**2 - 1 Let i(x) = 133*x**2 + 6. Let k(w) = -134*w**2 - 8. What is -4*i(n) - 3*k(n)? -130*n**2 Let z(b) = 14*b - 4*b + 2 - b - 6*b**2 + 0*b. Let i(v) = -5*v**2 + 8*v + 2. Calculate -7*i(j) + 6*z(j). -j**2 - 2*j - 2 Let r(y) = -36*y**2 - 15*y + 15. Let c(n) be the third derivative of n**5/12 + n**4/12 - n**3/3 - 18*n**2. What is 30*c(b) + 4*r(b)? 6*b**2 Let m(s) = s - 1. Let f(k) be the second derivative of -8*k**3/3 + 2*k**2 - 706*k. What is -f(i) - 5*m(i)? 11*i + 1 Let a(l) = 1. Let w(r) be the third derivative of -r**4/24 + r**3 - 34*r**2. Let t = -5 - -11. Determine t*a(q) - w(q). q Let r(d) = -21*d - 30. Le
{ "pile_set_name": "DM Mathematics" }
iple of 1562 and 275? 39050 Calculate the least common multiple of 163839 and 159. 8683467 Calculate the common denominator of -34/1771 and 18/40411. 444521 What is the lowest common multiple of 28812 and 828? 1988028 What is the lowest common multiple of 7488 and 2025? 1684800 What is the common denominator of -85/72 and 25/15476? 278568 What is the smallest common multiple of 202433 and 14? 404866 Find the common denominator of 81/148 and 67/592. 592 Calculate the lowest common multiple of 406 and 51069. 714966 Calculate the smallest common multiple of 8030 and 330. 24090 Calculate the common denominator of -31/3960 and -137/660. 3960 Calculate the smallest common multiple of 46355 and 1679. 1066165 Calculate the lowest common multiple of 11640 and 16. 23280 What is the smallest common multiple of 3210 and 60? 6420 What is the least common multiple of 403824 and 9129? 6865008 Find the common denominator of -7/528 and 125/7008. 77088 What is the common denominator of 89/1824 and 75/464? 52896 Calculate the lowest common multiple of 308 and 5302. 74228 Calculate the common denominator of -69/8 and 99/73264. 73264 What is the least common multiple of 49696 and 18636? 149088 Find the common denominator of 49/189550 and -89/22300. 379100 Calculate the common denominator of 7/49036 and 13/490. 12013820 Calculate the smallest common multiple of 82194 and 285. 410970 Calculate the lowest common multiple of 6867 and 48832. 439488 What is the common denominator of 32/429 and 33/9178? 302874 Calculate the lowest common multiple of 83583 and 12048. 1337328 Calculate the lowest common multiple of 19488 and 292320. 292320 Calculate the least common multiple of 2958 and 30073. 180438 Calculate the lowest common multiple of 21660 and 3420. 64980 What is the smallest common multiple of 5420 and 8130? 16260 What is the common denominator of -73/1960 and -19/854? 119560 What is the lowest common multiple of 1220 and 10? 1220 Find the common denominator of -11/50 and -97/288160. 1440800 What is the smallest common multiple of 1936 and 11616? 11616 Find the common denominator of 77/90 and 97/8820. 8820 Calculate the common denominator of 19/2730 and 181/1260. 16380 What is the lowest common multiple of 10911 and 39? 141843 What is the smallest common multiple of 2904 and 1210? 14520 What is the lowest common multiple of 1086 and 2160? 390960 Find the common denominator of -83/3540 and -115/6726. 67260 Calculate the common denominator of 3/2900 and -49/64670. 646700 What is the common denominator of 11/223140 and -1/60? 223140 Calculate the smallest common multiple of 456 and 1596. 3192 Find the common denominator of 21 and -33/2681. 2681 Calculate the common denominator of 1/2138 and 83/16. 17104 Calculate the least common multiple of 111664 and 1994. 111664 Calculate the common denominator of 103/671076 and 67/2772. 7381836 What is the least common multiple of 42 and 68520? 479640 Calculate the common denominator of 73/9100 and 27/12740. 63700 Calculate the common denominator of -73/15087 and 157/1974. 211218 What is the smallest common multiple of 15658 and 36? 281844 What is the lowest common multiple of 175 and 9300? 65100 Calculate the common denominator of 173/720 and 57/96158. 34616880 Calculate the common denominator of -121/39510 and -127/360. 158040 Calculate the lowest common multiple of 45 and 3888. 19440 What is the lowest common multiple of 50585 and 67? 50585 Calculate the lowest common multiple of 180099 and 40022. 360198 Calculate the common denominator of -123/650 and 99/26500. 344500 Find the common denominator of 9/709450 and 50/77. 7803950 Find the common denominator of -10/321 and 93/548. 175908 Calculate the common denominator of 85/1472 and -55/116. 42688 What is the least common multiple of 1676 and 6704? 6704 Calculate the smallest common multiple of 4390 and 7902. 39510 Find the common denominator of 23/140 and -81/182. 1820 Calculate the common denominator of 83/1600 and 117/457900. 7326400 What is the least common multiple of 6 and 354462? 354462 Calculate the common denominator of -17/15707 and 24/11. 172777 What is the smallest common multiple of 21359 and 992? 683488 What is the common denominator of 48/3965 and 23/130? 7930 What is the common denominator of 27/23005 and -1/101222? 506110 Calculate the smallest common multiple of 36 and 24372. 24372 What is the least common multiple of 53207 and 68409? 478863 What is the least common multiple of 22 and 22? 22 Calculate the least common multiple of 209100 and 2925. 8154900 What is the common denominator of -52/35 and 13/2206? 77210 What is the lowest common multiple of 364686 and 51184? 2917488 Calculate the least common multiple of 369 and 6030. 247230 Calculate the smallest common multiple of 3592 and 4304. 1932496 What is the common denominator of 59/7896 and -155/817236? 1634472 What is the common denominator of -187/4982640 and -91/8? 4982640 Calculate the common denominator of 125/576 and 167/12600. 100800 Calculate the least common multiple of 1640 and 1567840. 1567840 Calculate the least common multiple of 1679525 and 13. 21833825 Calculate the lowest common multiple of 6 and 32705. 196230 What is the common denominator of 5/4 and -49/1068008? 1068008 Calculate the common denominator of -10/28449 and 77/4524. 1479348 Calculate the common denominator of 17/3822 and 37/21. 3822 What is the common denominator of -33/13 and -29/26? 26 Find the common denominator of 21/595432 and -133/1578. 1786296 Find the common denominator of -23/1008 and -47/79128. 158256 Calculate the smallest common multiple of 182185 and 4150. 1821850 What is the least common multiple of 5 and 103459? 517295 What is the smallest common multiple of 32 and 2746948? 21975584 What is the smallest common multiple of 20 and 5265? 21060 What is the common denominator of -23/6424 and 41/19272? 19272 Calculate the common denominator of -113/27470 and 37/752678. 3763390 What is the smallest common multiple of 360048 and 64? 1440192 What is the least common multiple of 735 and 180? 8820 Find the common denominator of -45/319781 and -82/261639. 2878029 Calculate the lowest common multiple of 486 and 25110. 75330 What is the least common multiple of 9673 and 2276? 38692 What is the common denominator of -16/45 and 123/707440? 6366960 What is the lowest common multiple of 95528 and 262702? 1050808 What is the least common multiple of 711 and 4266? 4266 Calculate the least common multiple of 45476 and 90952. 90952 What is the common denominator of 11/24 and 89/10648? 31944 What is the least common multiple of 235190 and 40? 940760 What is the smallest common multiple of 5964 and 1008? 71568 What is the common denominator of -1/21748 and -151/6? 65244 What is the least common multiple of 101012 and 6? 303036 Find the common denominator of -77/1098 and 1/3528. 215208 What is the common denominator of -35/130716 and 133/36? 130716 Calculate the least common multiple of 14924 and 546. 44772 What is the common denominator of -59/20 and -91/150264? 751320 Calculate the common denominator of 15/4394 and -37/23322. 303186 What is the common denominator of -80/33 and 125/3348? 36828 Calculate the smallest common multiple of 12 and 10078. 60468 Calculate the common denominator of 55/12 and -163/243210. 486420 Calculate the least common multiple of 808 and 2072. 209272 Find the common denominator of -29/8 and 37/42662. 170648 Calculate the common denominator of 13/4923 and -13/279. 152613 What is the common denominator of -33/263 and -31/35? 9205 What is the least common multiple of 8360 and 135850? 543400 Calculate the lowest common multiple of 9414 and 15690. 47070 Calculate the lowest common multiple of 87318 and 39690. 436590 Calculate the least common multiple of 753 and 12. 3012 Calculate the lowest common multiple of 592 and 877344. 877344 Calculate the smallest common multiple of 10 and 192025. 384050 Calculate the least common multiple of 34048 and 88. 374528 Find the common denominator of -125/4356 and 61/7260. 21780 Calculate the common denominator of -43/989865 and 79/395946. 1979730 What is the least common multiple of 20050 and 3800? 1523800 Calculate the common denominator of 15/22507 and 39/3550. 1125350 Find
{ "pile_set_name": "DM Mathematics" }
6 Simplify ((sqrt(110)*3*5 - sqrt(110))/((sqrt(100) - sqrt(100)*2)/sqrt(10)))**2 + (sqrt(6336) + (sqrt(6336) - 4*sqrt(6336)))/((sqrt(32)*-2)/sqrt(8)). 12*sqrt(11) + 2156 Simplify (3*(sqrt(10)/(-5*(sqrt(5) + sqrt(405))) + sqrt(162) + 3*sqrt(8)/sqrt(4)))**2. 3229209/1250 Simplify ((sqrt(180) + (sqrt(180) - 1*sqrt(180))*-5)/((sqrt(484) - -1*sqrt(484)) + sqrt(4)))/((sqrt(9) - -5*(sqrt(9) - 2*sqrt(9) - sqrt(9)))*4*2). -sqrt(5)/1656 Simplify (-5*-6*sqrt(750)*1)/(sqrt(72)/sqrt(300) + sqrt(18)/(sqrt(33)/sqrt(11) + sqrt(3))). 1500*sqrt(5)/7 Simplify (1*sqrt(5500))/((sqrt(88)*1)/sqrt(8)) - ((sqrt(80) + sqrt(80)*1 + 4 - ((sqrt(80)*1)**2*-4 - sqrt(80))) + -2). -322 - 2*sqrt(5) Simplify (-2 + (sqrt(11) - sqrt(88)/sqrt(8))*-3 + 2 + sqrt(99)/(2*sqrt(81))*-3)**2. 11/4 Simplify (-3*(sqrt(85)*-1*6 - 4*-3*sqrt(85))/((5*-1*sqrt(10))/(sqrt(162) + sqrt(2))))**2. 22032 Simplify 1*(((sqrt(2299) - (sqrt(2299) + 1 + sqrt(2299))*2) + (sqrt(2299) - 5*(sqrt(2299) + 1)))*-6 + -1 + 0)**2. 37884*sqrt(19) + 4057117 Simplify (-4*2*3*sqrt(228)*-2)/(2*(sqrt(192)*2 + sqrt(192) - sqrt(192))*1). 3*sqrt(19) Simplify (1 + sqrt(44) + -1 + 3)*4 - (-3*(-2 + sqrt(1584))**2 - sqrt(1584)*-3*-1). -100*sqrt(11) + 4776 Simplify (-5*(-1*sqrt(171) + sqrt(171)) + 3 + sqrt(171) + 0 + 5 + sqrt(171) + (sqrt(171) + sqrt(171) + 1 + sqrt(171) - sqrt(171)) + 0 + -5)**2. 96*sqrt(19) + 2752 Simplify -3 + (1 + (sqrt(44)*-1 + (sqrt(11) + -1)*-4 - (-1*sqrt(1331) + 0))*3)**2. 390*sqrt(11) + 2641 Simplify -1*(sqrt(1872)*-1 + sqrt(1872))/(sqrt(4) + sqrt(64) + -2*sqrt(64)) - -1*6*(sqrt(325) + 0 + sqrt(325))**2*-4. -31200 Simplify 1*(-3*(-1 + sqrt(700))**2 + 4 + ((sqrt(49) + sqrt(441)*3 - sqrt(49))/((sqrt(28)/sqrt(4) + sqrt(7))*-6))**2). -33521/16 + 60*sqrt(7) Simplify ((sqrt(209) - -4*sqrt(209)*4) + sqrt(209) + sqrt(209)*-2*4 + sqrt(209))/(sqrt(275)*5 + sqrt(396)*1). 11*sqrt(19)/31 Simplify 3*(-3 + -2*sqrt(847)*-6 - ((sqrt(847) - -2*(sqrt(847) + -2*sqrt(847))) + -3 + sqrt(847)*2))**2. 307461 Simplify (3*(-1*(sqrt(192) + 0 - sqrt(192)) + -2 + 2 + (-1 + sqrt(192) + -2 - sqrt(192)) + -4))**2. 441 Simplify -4 + ((2*sqrt(152) - sqrt(152))*2)/(sqrt(56)/(sqrt(14)/sqrt(2)) + sqrt(8)) - (sqrt(684) + -4 + sqrt(684)*3 - (sqrt(684) + sqrt(684)*3 + 3)). 3 + sqrt(19) Simplify -4*((sqrt(17) - ((sqrt(2448) + -2)**2 - sqrt(17))) + sqrt(425) + -1) - 2*((sqrt(17) - sqrt(425)*3)**2 - (sqrt(1700) - -3*sqrt(1700))). -140*sqrt(17) + 3148 Simplify -5*-4*-3*1*(3*(sqrt(1100) + 0) + sqrt(1100) + -4)*-3. -720 + 7200*sqrt(11) Simplify ((sqrt(60) - ((2*sqrt(720))/sqrt(12) + sqrt(60))) + sqrt(2940)*-6)/(sqrt(432) + 2*sqrt(432)*1 + -4*(sqrt(432) - 2*sqrt(432) - sqrt(432))). -2*sqrt(5)/3 Simplify (0 + (5 + sqrt(39)/sqrt(3) + (-1 + sqrt(1573))**2 - (2 + (sqrt(13) - (-2 + sqrt(13)*-1)))))*5. -115*sqrt(13) + 7875 Simplify -3 + sqrt(98) + (sqrt(98) + -2*sqrt(98) + 2 - sqrt(98))**2 + 4 + -1 + sqrt(98) + 2 + 3 + -2. -42*sqrt(2) + 399 Simplify ((2 + sqrt(1053) - sqrt(1053)) + 3 + sqrt(1053) + (sqrt(1053) - (2 + 2 + sqrt(1053) - sqrt(1053))) - (3 + (sqrt(1053) - sqrt(1053)*2)*-6)*-6)**2*-4. -6083572 - 51984*sqrt(13) Simplify (3 + 4 + ((2*-2*sqrt(125)*2)**2 - (sqrt(125) - (-2*sqrt(125)*3)**2)*5))*-1. -30507 + 25*sqrt(5) Simplify 1*((4 + (-1*(-1*sqrt(209) - sqrt(209) - sqrt(209)))/(-6*sqrt(44)))*-5 + -2) + 5. -17 + 5*sqrt(19)/4 Simplify (sqrt(132) + sqrt(132)*3*-6 - sqrt(132))/((sqrt(120)/sqrt(5))/sqrt(2)) + sqrt(11) + -4 + -1 + sqrt(11) + -1 + (sqrt(110)/(2*sqrt(2)))/sqrt(5). -31*sqrt(11)/2 - 6 Simplify (5*sqrt(272)*2)**2 - ((sqrt(153)*-1)/sqrt(9)*-6)**2 - (-5 + (3*(sqrt(119)*-1 + sqrt(119)) - sqrt(119) - sqrt(119))/(sqrt(700)*2 + sqrt(7) + sqrt(7))). sqrt(17)/11 + 26593 Simplify -3 + (-2 + -1*sqrt(7200) + (1*sqrt(450) + sqrt(50) - (-3 + sqrt(200))))*-3*-5. -750*sqrt(2) + 12 Simplify -1 + (sqrt(304) - (-4 + sqrt(304)*3))**2 - ((sqrt(684) + -4 + sqrt(684))**2 - (sqrt(171))**2*6). -495 + 32*sqrt(19) Simplify ((sqrt(17) - sqrt(816)/sqrt(3)) + 3 - ((sqrt(272) + 1)**2 + (sqrt(1700)*1)**2)) + (6*1*sqrt(153) - sqrt(153))/(sqrt(72)/sqrt(200)). -1970 + 14*sqrt(17) Simplify (sqrt(408)/(sqrt(48)/sqrt(4)))/(1*(sqrt(2)*-1 - sqrt(2)))*1 - (0 + sqrt(68) + -2 - 2*(-1*sqrt(68) - sqrt(68)))**2. -1704 + 79*sqrt(17)/2 Simplify (-1 + 5*(sqrt(1008) - -3*sqrt(1008)))**2 + 3 + -2 + -1 + sqrt(847). -469*sqrt(7) + 403201 Simplify (sqrt(192) - 2*sqrt(192)*5) + 0 + 3 - (1 + sqrt(30)/(-1*sqrt(10)) + ((-1*sqrt(15)/sqrt(5) + sqrt(3))**2 + sqrt(3) - sqrt(3))). -71*sqrt(3) + 2 Simplify (-3 + ((sqrt(637) + -1)*2*-2 + -3 + sqrt(637) + sqrt(637) + sqrt(637)*-5 + -5)*-6)**2. 12348*sqrt(13) + 1124109 Simplify ((-6*sqrt(448)*-1 + (sqrt(448) - -3*(0 + sqrt(448) - sqrt(448)) - sqrt(448)))**2 + ((-1 + sqrt(448))*5 - ((sqrt(448)*1)**2 + 4)))*5. 200*sqrt(7) + 78355 Simplify ((1*sqrt(228)*-6 + -1*sqrt(228)*6)*2)/((sqrt(3456)*-2)/(sqrt(2) - sqrt(20)/sqrt(160))). 3*sqrt(19)/4 Simplify 6*(sqrt(17) + 3)**2 + (-5 + sqrt(17)*2 - sqrt(17))**2 + ((-6*sqrt(68)/sqrt(2))/(5*sqrt(32)))**2. 26*sqrt(17) + 19953/100 Simplify ((sqrt(72) + sqrt(72)*-2)/sqrt(12) - (sqrt(6) + (sqrt(2058) - sqrt(42))/sqrt(7)))/(-4*(sqrt(288) - sqrt(288)*2)*-3). sqrt(3)/18 Simplify (((sqrt(24) - (sqrt(24) + -4*sqrt(384) + sqrt(24)) - sqrt(24)) + (sqrt(24) - -1*sqrt(1176)))/(sqrt(108) - 2*sqrt(108)*1)*1)**2. 968/9 Simplify (3*sqrt(112)*1 + -4)**2 - ((-3*sqrt(1008)*3)**2 + -1). -80623 - 96*sqrt(7) Simplify (6*(0 + -3*(sqrt(39)/(sqrt(6)/sqrt(2))*-1 - (-1 + sqrt(1300))*-4)) + 4)**2. -106704*sqrt(13) + 6412228 Simplify (3 + 1 + sqrt(208) + sqrt(208) + -5 + 5*(0 + sqrt(208)) + (sqrt(208) - (2*sqrt(208) + -1) - sqrt(208)) + 0 + -3)**2. -120*sqrt(13) + 5209 Simplify -6*(5 + 5*(-5*sqrt(1600) + sqrt(16))/(sqrt(40)/sqrt(5)*1)). -30 + 1470*sqrt(2) Simplify -3 + sqrt(72) + 3 + -3 + sqrt(16)/(sqrt(8) - 3*2*sqrt(8) - sqrt(8)) + 1. -2 + 35*sqrt(2)/6 Simplify (-3*(-1*sqrt(648) - sqrt(648))*-4)/((sqrt(63) - (sqrt(7623) - (sqrt(7623)*1 + sqrt(7623)) - sqrt(63)))/(sqrt(28)*-1)). 288*sqrt(2)/13 Simplify ((sqrt(7920)*-2)/sqrt(5) - (5 + -5*sqrt(22)/sqrt(2))) + (sqrt(110) - (sqrt(110) + sqrt(110) + -1*sqrt(110)*-3))/(1*-2*sqrt(10)). -17*sqrt(11) - 5 Simplify ((sqrt(1539) + 0 + 5 - ((0 + sqrt(1539) - sqrt(1539)) + -4)) + -5)**2 - ((-4*(sqrt(304) + -1) + sqrt(304) + 2)**2 + -2). -1215 + 216*sqrt(19) Simplify (0 + -5 + sqrt(112) + sqrt(112) + 4*sqrt(112)*-3 + sqrt(112))**2 + -3 + 3 + 2. 360*sqrt(7) + 9099 Simplify -1 + (5 + -4 + 1*(3 + (sqrt(13) + sqrt(130)/(sqrt(10) + sqrt(10) + sqrt(90)))*5))**2*2. 96*sqrt(13) + 967 Simplify (2 + sqrt(847) + sqrt(847) + 2 + 5 + -2*((sqrt(847) + 2 - sqrt(847)) + -5))*3. 45 + 66*sqrt(7) Simplify -5*5*(-3*6*2*sqrt(153))/(sqrt(27)/(5*sqrt(6)/sqrt(2))). 4500*sqrt(17) Simplify (sqrt(110) + (-2*sqrt(110) - sqrt(110))*2 - sqrt(110) - sqrt(110) - (sqrt(110) + sqrt(110)*2)*-4)/(3*(sqrt(90) - (sqrt(90)*2 + sqrt(90)))*5)*-3. sqrt(11)/6 Simplify ((6*sqrt(216) - sqrt(30)/sqrt(5)*6)/(2*-3*sqrt(2) - (sqrt(14)*1)/sqrt(7)))**2. 2700/49 Simplify (-5 + (sqrt(70) + (sqrt(70)*1 - sqrt(70))*1 + sqrt(70) + (1*sqrt(70) - sqrt(70))*1)/(sqrt(110)/((sqrt(77)*-1)/sqrt(7))))**2. 20*sqrt(7) + 53 Simplify ((sqrt(176) + 5 + sqrt(44) + 5)*-2)**2 - (-4*(sqrt(3564) + 1 + sqrt(3564) + sqrt(3564)) + 1). 1987 + 696*sqrt(11) Simplify (sqrt(891) + 0)**2 + -4 + (-1*(sqrt(891) - (3 + sqrt(891) - sqrt(891))) - sqrt(891)) + (sqrt(891) - (-3 + sqrt(891) + -3) - (4 + sqrt(891)*-2))**2. 54*sqrt(11) + 4458 Simplify (sqrt(660)/(sqrt(36)/sqrt(3)))/(sqrt(33)/(sqrt(15)/sqrt(5))) + (1*2*(0 + sqrt(125)))**2. sqrt(5) + 500 Simplify ((sqrt(175) + 0)**2*5 - (2 + sqrt(175)*2)) + (-2 + sqrt(175) + 3 + (3*sqrt(175) - sqrt(175)))**2 + -5. 20*sqrt(7) + 2444 Simplify (sqrt(1584) + sqrt(1584) + -1 + 1 - (sqrt(1584) + sqrt(1584)*1 + 0 - sqrt(1584)))**2 - (-2 + (2 + 5 + sqrt(44)*2)**2). -56*sqrt(11) + 1361 Simplify 1*((-2 + sqrt(448) + 0 - (sqrt(448) - ((-3*sqrt(448))**2 + -5))) + -4*(sqrt(448) + 1)*3)*1. -96*sqrt(7) + 4013 Simplify 3*-5*((-3*(-1 + sqrt(1584)))**2 - 2*sqrt(1584)*6 - ((-1*-1*sqrt(1584))**2 + 6*(sqrt(1584) - (sqrt(1584) + 0)))). -190215 + 5400*sqrt(11) Simplify ((-6*sqrt(156)*3 + sqrt(156) + 1*2*sqrt(156))/(1*((sqrt(768) + (2*sqrt(768) - sqrt(768)) - sqrt(768))*4 - sqrt(768))))**2. 325/64 Simplify (5*sqrt(52) + sqrt(130)/(sqrt(10)*3) + 2 + (-3*(1*sqrt(91) - sqrt(91)) - s
{ "pile_set_name": "DM Mathematics" }
+ 28*j*o + 4*j + 6*o**4 + 319*o**2 - o wrt o. 602976*j*o + 144*o What is the third derivative of 57469*j**6 + 14002*j**2 - 4? 6896280*j**3 What is the second derivative of 159*h**4 + h**3*s + h**2*s - 201*h**2 + 33003*h*s + h - s wrt h? 1908*h**2 + 6*h*s + 2*s - 402 What is the first derivative of 65*d*m**3 + 204*d*m + 13067*d - m wrt m? 195*d*m**2 + 204*d - 1 Differentiate 2*d*l**2 - 209*d*l*z - 9*d*l - 53488*d*z - 43*l*z with respect to l. 4*d*l - 209*d*z - 9*d - 43*z Find the third derivative of -c**3*y*z**3 - 4445*c**3*y*z + 3*c**3*z**3 + c*y*z**2 + 1196*y*z**3 - y wrt z. -6*c**3*y + 18*c**3 + 7176*y Differentiate 82151*q**3 - q - 77280. 246453*q**2 - 1 What is the second derivative of -8*b**5*w**3 - 656*b**2*w**3 - 26*b*w**3 + b*w - 111*w**3 wrt b? -160*b**3*w**3 - 1312*w**3 Find the second derivative of -4*a*m**4*v - 7*a*m*v + 7*a*m + 4*a*v + m**3*v + 6806*m**3 - m wrt m. -48*a*m**2*v + 6*m*v + 40836*m Find the third derivative of -2084491*g**3 - 3754304*g**2 wrt g. -12506946 What is the derivative of c**4 - 19797*c - 58422? 4*c**3 - 19797 What is the third derivative of -14883*f**4 + f**2 + 2*f - 9029? -357192*f Find the second derivative of -1089731*t**2*y**2 - 618*t*y - 13*t - 2*y**2 + y wrt t. -2179462*y**2 What is the third derivative of -419715*i**2*u**3 + 15760*i**2*u + 5*u**2 wrt u? -2518290*i**2 What is the second derivative of 583*l**3*r**3 + 2*l**3*r**2 - 4*l**3 - 18*l*r**3 + 6431*l wrt l? 3498*l*r**3 + 12*l*r**2 - 24*l What is the first derivative of 30066*t - 2454575? 30066 What is the third derivative of -195647*c**3 - 1502*c**2 - 2*c + 2? -1173882 Differentiate -41335*i**2 - 80707. -82670*i What is the third derivative of -2168*m**6 - 471*m**5 - 258*m**2 - 32*m? -260160*m**3 - 28260*m**2 Find the second derivative of -482*h**5 - 9*h**3 + 43*h**2 - 354*h - 69. -9640*h**3 - 54*h + 86 What is the second derivative of -482956*b**2*o + 76*b*o - 4*b + 52*o wrt b? -965912*o Find the first derivative of 2297693*m**2 - 1957524 wrt m. 4595386*m Find the second derivative of -x**5 - 637*x**4 - 10*x**3 - 2951*x + 10 wrt x. -20*x**3 - 7644*x**2 - 60*x What is the second derivative of -2*h**5 - 2*h**4 - 8266*h**3*s + 2*h*s + 121*h + 2*s - 148 wrt h? -40*h**3 - 24*h**2 - 49596*h*s What is the second derivative of 2*h**3*q**2 + 59*h**3*q - 122*h*q**2 - 652*h wrt h? 12*h*q**2 + 354*h*q Find the third derivative of 6*c*s**4 - 7505*c*s**3 - 2*c*s**2 - 13*c - 2*s**4 + 795*s**2 wrt s. 144*c*s - 45030*c - 48*s Find the third derivative of -2976651*v**3 - 561236*v**2. -17859906 What is the derivative of 5*f**2*u - 5*f**2*z + 76*f**2 + f*u - 815*u*z + 2*z - 5 wrt f? 10*f*u - 10*f*z + 152*f + u Find the third derivative of -7*p**5 + 2354*p**4 + 109465*p**2 wrt p. -420*p**2 + 56496*p Find the third derivative of -13063*l**2*w**3 + 6783169*l**2*w**2 + 2*l*w**3 - 27*w**3 wrt w. -78378*l**2 + 12*l - 162 Find the first derivative of 611*i*r**2 + 29*i*r + 69710*i - r**2 wrt r. 1222*i*r + 29*i - 2*r Find the second derivative of -1490*c**5 - 24*c**4 + 2947*c - 20. -29800*c**3 - 288*c**2 What is the derivative of 12*a*j**2 + 3112*a*z - 3173*j**2*z + 2*z wrt a? 12*j**2 + 3112*z Find the third derivative of -898549*m**3 - 532*m**2 - 320*m wrt m. -5391294 What is the third derivative of 26048*d**6 + 4*d**5 - 130*d**2 - 1069*d wrt d? 3125760*d**3 + 240*d**2 What is the third derivative of 9*p*q**4 + 5*p*q**3 + 52*p*q**2 - 6*p*q - p + 56*q**4 - 15*q**3 - 639 wrt q? 216*p*q + 30*p + 1344*q - 90 Find the second derivative of 250312*o**2 + 96*o + 199 wrt o. 500624 Find the first derivative of 2921*x**4 - 446*x**3 - 7419216 wrt x. 11684*x**3 - 1338*x**2 What is the third derivative of -111362*a**4 + a**2 + 3299*a + 58? -2672688*a What is the derivative of -3*s**3 + 2*s**2 - 4497*s + 155149? -9*s**2 + 4*s - 4497 What is the derivative of p*y**3 + 1223*p*y + 6*y**3 + 5*y**2 + 13 wrt p? y**3 + 1223*y What is the derivative of -226793*b**3*d + 9423*b**3 - 7 wrt d? -226793*b**3 What is the second derivative of 4*u**4*v + 659*u**3 - 5*u**2*v + u**2 + 219518*u - 2*v wrt u? 48*u**2*v + 3954*u - 10*v + 2 Find the first derivative of -62*c**2*o**2 + 100*c**2 - c*o**2 + 41775*o**2 + o + 2 wrt c. -124*c*o**2 + 200*c - o**2 What is the second derivative of 9630*y**4 - 114*y**2 + 2266587*y + 1? 115560*y**2 - 228 What is the third derivative of 997755*n**3 - 12*n**2 - 10330 wrt n? 5986530 Find the second derivative of 3*a**3*r*u - 25*a**2*r*u**2 - 198*a**2*r*u - 39*a*r*u**2 + 11*a*r*u - a*u**2 + 194*r*u - 2*r wrt a. 18*a*r*u - 50*r*u**2 - 396*r*u Differentiate 348*c*p**2 - 146*c - 437202*p**2 with respect to c. 348*p**2 - 146 What is the third derivative of -741*f**3*z**2 + 4*f**3*z + 4*f**3 - 2*f**2*z + 16*f**2 - f*z**2 - 49*f*z wrt f? -4446*z**2 + 24*z + 24 What is the derivative of -300*d**4*h - 5*d**4 + 91*d*h + 67927*h + 2 wrt d? -1200*d**3*h - 20*d**3 + 91*h Find the third derivative of 17992*c*p**3 + 2*c*p - 5*p**2 - 1452 wrt p. 107952*c Find the second derivative of -3*u**3*z**2 - u**3*z - 24024*u**3 + u**2*z - 2*u**2 + 14627*z**5 - z**3 - 3*z wrt z. -6*u**3 + 292540*z**3 - 6*z What is the first derivative of -193792*v**2 + v - 171329? -387584*v + 1 Differentiate 21786*u - 5897 with respect to u. 21786 Find the second derivative of 2*s**3*x**4 + 53398*s**3*x - 734*x**4 wrt x. 24*s**3*x**2 - 8808*x**2 Find the third derivative of c**5 - 659*c**4 + 153*c**3 - 1431402*c**2 wrt c. 60*c**2 - 15816*c + 918 Find the first derivative of f*k**2*t**2 + 128349*f*t**3 - 123*k**2*t**2 + 2*k*t**3 - 686*t**3 wrt f. k**2*t**2 + 128349*t**3 What is the second derivative of -2*x**4 + 12096*x**2 - 2088*x - 2? -24*x**2 + 24192 What is the third derivative of 35228*k**3*m**3 - 11*k**2 - k*m**2 - k*m - 4*m**3 wrt k? 211368*m**3 Find the third derivative of -777489*p**3 - 1077549*p**2. -4664934 Find the first derivative of -3926*y**2 + 3*y + 23749 wrt y. -7852*y + 3 Differentiate 43*l**2*m*p*r + 18*l**2*p + 80*l*m*p - 107*m*p*r - 4*m*p wrt r. 43*l**2*m*p - 107*m*p What is the second derivative of 2356*q**5*s + q**2*s**2 - 13*q**2*s - 75*q*s**2 + 21*s**2 wrt q? 47120*q**3*s + 2*s**2 - 26*s Find the first derivative of 6*y**3 + 4*y**2 - 6141*y + 173440. 18*y**2 + 8*y - 6141 Differentiate 130286*s**4 + 164787. 521144*s**3 Find the third derivative of 1991818*w**3 + 2313672*w**2. 11950908 What is the first derivative of 2*a**3*v**3 + 54903*a**3 - 158*v**3 + 8 wrt a? 6*a**2*v**3 + 164709*a**2 What is the third derivative of -638*k**5 - 2*k**4 - 3*k**3 + 97829*k**2 - 4? -38280*k**2 - 48*k - 18 What is the second derivative of -6906*l**5 - 17*l**4 - 7*l**2*t - 7*l*t + 98096*l wrt l? -138120*l**3 - 204*l**2 - 14*t What is the third derivative of 2*i**6 - 67*i**4 - 46*i**3 - 10518*i**2 wrt i? 240*i**3 - 1608*i - 276 What is the third derivative of 403*f**4 - 3*f**3 + 108863*f**2? 9672*f - 18 What is the first derivative of 5*o**2 - 5539*o - 22273? 10*o - 5539 What is the third derivative of 453865*q**4 - 892212*q**2? 10892760*q Differentiate -232*r**2 + 133*r + 189425. -464*r + 133 Differentiate 3*k**3*l*t - 34*k**3*t + 634*k**3 + 2*k**2 - 32042*l*t - 2*t + 4 with respect to l. 3*k**3*t - 32042*t Differentiate r**3 + 740561*r**2 + 1804846. 3*r**2 + 1481122*r Differentiate -173*k**3*v + 684385*k**3 - 29*k**2*v - 4*k*v - v with respect to v. -173*k**3 - 29*k**2 - 4*k - 1 What is the second derivative of -19823*w**4 + 6*w**3 + 4*w - 41565? -237876*w**2 + 36*w What is the second derivative of -2363713*w**2 + 3*w - 450008? -4727426 What is the second derivative of -2*o**3 - 3*o**2*u**2 + 1321*o**2 - o*u + 2*o - 3*u**2 - 167*u wrt o? -12*o - 6*u**2 + 2642 What is the first derivative of 2*d*j*q**3 - 37*d*j - 4*d*q - 2*j*q**3 + 23692*q**3 wrt d? 2*j*q**3 - 37*j - 4*q What is the derivative of -1235679*o**2 - 307624? -2471358*o Find the third derivative of -957294*g**3*i**3 - 5*g**3*i**2 - 1039*g**3 + 2*g**2*i**6 - g**2*i**2 + g*i**2 wrt i. -5743764*g**3 + 240*g**2*i**3 Differentiate -12*n**3 - 4*n**2 - 35*n + 939923 with respect to n. -36*n**2 - 8*n - 35 What is the third derivative of 770614*j**3 + 7*j**2 - 1358*j - 16? 4623684 Differentiate -2*o*r**2*u + 26684*o*u**2 + 86*r**2*u**2 - 2*r**2*u - 98*r*u**2 wrt o. -2*r**2*u + 26684*u**2 Differentiate -13*q**3*x**2 + 390*q**3*x - q**3 - q**2 + 20*q - 2*x
{ "pile_set_name": "DM Mathematics" }
/9? 0.5 Which is the closest to -0.1? (a) -1 (b) -186 (c) -16 a What is the nearest to 4 in 7, -3, 2/15, -44? 7 What is the nearest to -9 in -2, -5, -110? -5 What is the nearest to 0.2 in 1.2, 0, -2, 0.02, -6? 0.02 Which is the nearest to -2/7? (a) 263935 (b) -3 (c) 2/5 c Which is the nearest to -2? (a) -4 (b) 5 (c) 854 a What is the nearest to -0.1 in -101, 1/4, -0.3, 22, -1? -0.3 Which is the closest to -2/11? (a) 0.5 (b) 3 (c) -39.2 (d) 2 a Which is the nearest to -2778? (a) 5 (b) 3 (c) 0.13 c What is the closest to -2/7 in 1457/3, -5, -4? -4 What is the closest to 2.1 in 0.2, -0.2, 5, -0.27? 0.2 What is the closest to -2/3 in -4, 744, 1? 1 Which is the closest to -0.1? (a) -1/5 (b) -0.62 (c) -1/2 (d) -2/131 d What is the nearest to -83/7 in -0.01, 3, -0.06? -0.06 What is the nearest to -0.197 in -0.31, 0.3, 4? -0.31 Which is the nearest to -2/9? (a) 0.97 (b) -1/4 (c) 0.2 (d) 3 b What is the closest to 13 in 1/4, 0.72, -29? 0.72 Which is the nearest to 1? (a) -77 (b) 0.2 (c) 78 (d) -2 (e) 0.4 e What is the nearest to -5 in 14, 4, -1, -0.5, -1.19? -1.19 What is the closest to 693/4 in -1.1, -3/5, -2? -3/5 Which is the nearest to -10? (a) -2 (b) 0.3 (c) -2/13 (d) 2/9 (e) -0.3 a Which is the nearest to -342? (a) 0.116 (b) 0.1 (c) -1/3 c Which is the closest to -1? (a) 920 (b) -1/9 (c) -0.5 (d) 0.1 c What is the nearest to 2 in 115, -4/7, -5? -4/7 What is the closest to 31 in 37, 1/10, -3, -7/2? 37 What is the closest to 232 in -54, -0.2, 4, -4? 4 Which is the closest to -7? (a) -0.3 (b) 34 (c) 56/3 a What is the closest to 0.01 in 6004, 1/9, 0.11? 0.11 What is the closest to -1/2 in 27/5, 4, 2? 2 What is the nearest to -1 in -2796/19, -0.1, 0.3, 3? -0.1 Which is the nearest to -4309? (a) -2/13 (b) 7/6 (c) 4 a Which is the nearest to 13/5? (a) 0.4 (b) 1 (c) -0.2 (d) 0.035 (e) -0.5 b What is the nearest to 60 in -1/22, -5, -0.01? -0.01 What is the closest to 1/2 in -20, -1/6, -9, -1, 2.2? -1/6 Which is the closest to 1? (a) 1/8 (b) 96 (c) 0 (d) -0.083 a What is the nearest to 2 in 12312, -2, 0? 0 What is the nearest to 1 in 0.7, -12, -7? 0.7 What is the nearest to 3 in -0.1, -2, 1, -0.5, -56? 1 What is the nearest to 14 in 0.3, -0.1, 1/7, 0, -238? 0.3 Which is the closest to 2/9? (a) -0.5 (b) -15 (c) 716 a What is the closest to 0 in -0.2, 3338, -2/3? -0.2 What is the nearest to 0.8 in -2/909, 0.4, 2/7? 0.4 Which is the closest to 3? (a) -0.03 (b) 10/3 (c) 0.3 b What is the nearest to 2 in 6/11, 3/8, 0, -36, 1/5? 6/11 What is the nearest to 0.2 in 41, 142, 1/26? 1/26 Which is the closest to 5? (a) -4/3 (b) -0.2 (c) 66 (d) -4 b Which is the closest to 0.1? (a) -5 (b) 13 (c) -1/3 (d) 1658 (e) -1 c Which is the nearest to -1/3? (a) 2/11 (b) -9 (c) 1/6 (d) -0.1 (e) -421 d Which is the closest to 1? (a) -29/33 (b) 2/9 (c) 4/3 (d) 0.09 c Which is the nearest to 2/115? (a) 5 (b) 4 (c) 773 b What is the nearest to 0.06 in 1/2, -7, -5, -3.2? 1/2 Which is the closest to -0.06? (a) 0.2 (b) 2 (c) -3/4 (d) -0.18 (e) -1 d What is the closest to 0.1 in -2/13, -5, -0.4, 9/8, 5/2? -2/13 Which is the nearest to 0.3? (a) -78/11 (b) 0 (c) -5 b Which is the closest to 1/9? (a) -5 (b) -10 (c) 4 c What is the nearest to 1 in -8, 1/3, -1/131559, 3? 1/3 Which is the closest to -8? (a) -1/3 (b) -808 (c) -5/3 (d) -3 d Which is the nearest to -3? (a) -4.0461 (b) -4 (c) -3 c What is the closest to 1 in -5, -21.86, 14, -0.4, -2? -0.4 Which is the nearest to -0.4? (a) -37 (b) 38 (c) 2/25 c What is the closest to 1025 in -5, 6, -3? 6 What is the closest to 0.2 in 3, -235, -3, 4? 3 What is the nearest to -8593 in -9, 4, 2/3? -9 Which is the closest to -8/3? (a) -89 (b) 0.5 (c) -2/15 c Which is the nearest to 7? (a) -4 (b) 31 (c) -0.2 (d) 0.0544 d Which is the closest to -1? (a) 22002 (b) -7 (c) -1 c Which is the nearest to -0.1? (a) 1230.8 (b) 4 (c) -18/5 c What is the nearest to 4/7 in 2/7, 1/3, 4, -34, 35? 1/3 What is the nearest to -32571 in 0.3, -5, 0? -5 What is the nearest to -1/2 in -1, -109, -5/2, -3, 2/19? -1 What is the closest to 0.066 in 0.1, -3, 2/13, 1/158? 0.1 Which is the nearest to -12? (a) 0.3 (b) -4 (c) -5 (d) -2.6 c Which is the closest to 2/5? (a) 0.0084 (b) -0.9 (c) -0.1 a What is the nearest to -0.1 in -2/15, -2.875, -4? -2/15 What is the closest to -2/3 in 12/7, -2/703, 1/9? -2/703 Which is the nearest to -1/3? (a) 0.1 (b) -15065 (c) 5 a Which is the nearest to -1.7? (a) 1/2 (b) 1.34 (c) 2/3 a What is the nearest to 0.1 in -3/7, -3, 1318? -3/7 Which is the nearest to -0.2? (a) -1 (b) 5 (c) -20700 (d) 1 a Which is the nearest to -0.3? (a) 3/11 (b) -0.3 (c) 0.3 (d) -2/5 b What is the nearest to -0.6 in 0.2, -4, -0.4, -3376, -5? -0.4 What is the nearest to -91 in -3, 4, 15, 0.1, -2? -3 What is the closest to 217.9 in 0.07, -5, -9? 0.07 What is the nearest to 0.1 in 4, -5, -11.4519, 0.2, 5? 0.2 What is the nearest to -2 in -0.1, 4, -1, -1090, 0? -1 Which is the nearest to 109? (a) -13 (b) -2/3 (c) -3 b Which is the closest to -1? (a) -599/4 (b) 9 (c) -2 (d) -1/6 (e) 0.3 d Which is the nearest to 0.15? (a) -1 (b) 2/39 (c) -1/154 (d) -5 b Which is the nearest to 1? (a) -2/3 (b) -0.41 (c) 3 (d) 10 (e) 5 b Which is the closest to 1/9? (a) -3 (b) 0.4 (c) -0.4 (d) 1/6 d What is the nearest to 2 in -1.013, 0, 26? 0 Which is the closest to 0.1? (a) -7/243 (b) 0 (c) -0.31 b Which is the nearest to 1? (a) 0.4 (b) -147.54 (c) -3 a What is the nearest to -5 in 44475, 0, 1? 0 What is the nearest to 1 in 0, 34, 17, 3, -3? 0 What is the nearest to -1/7 in 0, -84/19, 0.2? 0 Which is the closest to -1? (a) -27 (b) 7 (c) -10 b Which is the nearest to 2? (a) -0.4 (b) 0.03066 (c) 3 c What is the nearest to -0.23 in -5, -1.8, 0.14, -5/4? 0.14 Which is the nearest to 0.1? (a) -3/8 (b) -103 (c) -1/2 (d) 71 (e) -0.2 e What is the closest to 2 in -9, 1, 0.4, 0.24? 1 Which is the closest to -1? (a) -625/7 (b) -5 (c) 0.2 c What is the nearest to -44 in -3/4, -115, 0.4? -3/4 What is the nearest to 2/7 in -17/4, 0.036, 0.3? 0.3 What is the nearest to 4 in -0.94, -3/5, 0.3, 3? 3 Which is the nearest to 1/2? (a) 39 (b) 1/8 (c) -0.2 (d) 2 b Which is the nearest to 1/3? (a) 3 (b) 0.1 (c) -1/4 (d) -1 (e) -0.0375 b What is the closest to -0.1 in 164, -43, 2/5? 2/5 What is the nearest to 0.2 in -2, 2/9, -14334, -0.02? 2/9 Which is the closest to -55? (a) 0 (b) 10778 (c) 1 a What is the closest to 6918 in -2/15, -2, -4/3? -2/15 Which is the closest to 46? (a) -17 (b) -2 (c) -3 b What is the nearest to -2/11 in 4, 0.71, 21/4? 0.71 What is the nearest to -1.2 in -5/3, -2/7, -56/17? -5/3 What is the nearest to 2/5 in -21/10, 5, -0.1, -0.5, -0.6? -0.1 Which is the nearest to 0.02? (a) 0.5 (b) -0.3 (c) -109 b What is the nearest to -513 in -5, -3, 1/2, 2? -5 Which is the nearest to -1/4? (a) 7/4 (b) 0.3 (c) 29 (d) 2 (e) -75 b What is the closest to 1 in -1, -8/5, 4, 720/7, -5? -1 What is the nearest to 0.3 in -38014, -3, 0.3, -4? 0.3 Which is the closest to -3.3? (a) 1.32 (b) 25 (c) 3 a Which is the nearest to 1? (a) 97 (b) 1 (c) -67 b What is the closest to 0.1 in -6, 6, 4, 99? 4 What is the nearest to -1/2 in 121642, 1/10, -1/4? -1/4 What is the closest to 3 in 3, -3, 0.042? 3 What is the nearest to -1/2 in 0.01, 3, -0.2, 31/6? -0.2 Which is the nearest to 1/4? (a) 2/3 (b) 18 (c) 0 (d) -5/214 (e) -0.4 c Which is the nearest to -1/8? (a) 366 (b) 2/15 (c) 0.3 b Which is the closest to 5? (a) 64/3 (b) 10 (c) 2 (d) -1/4 (e) 0.1 c What is the nearest to -2/37 in -0.074, 3, -0.5? -0.074 Which is the nearest to 1? (a) 12 (b) -2 (c) 2/15 (d) 0.8 (e) 18 d Which is the closest to -18? (a) 33 (b) 2/35 (c) 0.1 b Which is the closest to 0.1? (a) 0.64 (b) 140 (c) -2/5 c What is the nearest to -2 in -4, 5019, 1/4, -0.07? -0.07 What is the closest to 3 in 2/95, 0.3, -0.2, -3? 0.3 Which is the nearest to -44? (a) -0.4 (b) 4 (c) 3/7 (d) -0.3 (e) -87 e What is the nearest to -0.0511 in -4, -3, 2/9, 154, 1? 2/9 Which is the closest to 1? (a) 0.073 (b) 0.1 (c) 439 b What is the closest to 331 in -0.11, -0.2, -4.7? -0.11 Which is the closest to -0.9? (a) 356 (b) 2 (c) -0.4 (
{ "pile_set_name": "DM Mathematics" }
vided by 10. 6 Suppose k - 20 = 3*i + 2*i, -4*k + i + 23 = 0. What is the remainder when 4 + (21 - 8) + 2 is divided by k? 4 Suppose 6*d - 14 = 4. What is the remainder when 29 is divided by ((-25)/(-15))/(d/9)? 4 Let z(n) = n**3 - 8*n**2 + 4*n - 12. Let f(h) = -2*h + 16. Let m be f(4). What is the remainder when z(m) is divided by 4? 0 Let g(f) = -f**2 - 27*f - 40. Calculate the remainder when g(-9) is divided by 54. 14 Suppose 0 = -3*d + 22 + 47. Suppose -6*o = -2*o - 348. What is the remainder when o is divided by d? 18 Suppose 6*z = 10*z - 32. Let t(k) = -k**3 + 7*k**2 + 7*k - 1. Let c be t(z). Let v = c - -15. Calculate the remainder when 11 is divided by v. 5 Suppose -5*q - 539 = k - 1831, -4*q = -k - 1039. Calculate the remainder when q is divided by 66. 61 Let i(t) = -t**3 + 11*t**2 - 12*t - 31. Let z be i(7). Let k = 97 - z. What is the remainder when 158 is divided by k? 14 Suppose -6*c = -y - 4*c + 2, -4*y - 4*c + 20 = 0. Suppose -3*f = -y + 1. Let l(x) = x**3 + 7*x**2 + 5*x - 4. Calculate the remainder when l(-6) is divided by f. 0 Let o(m) = -m**2 + m - 1. Let b be o(3). What is the remainder when 2/b + (-745)/(-35) is divided by 12? 9 Suppose 3*h + h - 332 = 0. Calculate the remainder when h is divided by (-990)/(-42) - (2 - 20/14). 14 Let y be (8 + -10)/((-1)/2). Calculate the remainder when -3 - (-4)/((-12)/(-63)) is divided by ((-7)/(-1))/(y - 3). 4 Suppose -19*u = -16*u + 57. Let c = -8 - u. Suppose 4*r - 64 = -4*l, 0*r - c = -l - 2*r. What is the remainder when l is divided by 11? 10 Let p = -23 + 102. Suppose -79*f + 1937 = -1223. Calculate the remainder when p is divided by f. 39 Let r(u) = -u**2 + 9*u - 4. Let h be r(9). Let f be h/(-10) + 1304/40. What is the remainder when 38 is divided by 336/f - 6/33? 8 Let y(n) = -4*n - 24. Let g be y(-6). Suppose 5*w + 3*b - 979 = -g*w, -w = 2*b - 193. Calculate the remainder when w is divided by 40. 37 Suppose -605 = 97*k - 102*k. What is the remainder when k is divided by 61? 60 Let i(l) = -l - 38. Let h(o) = -4*o - 115. Let s(p) = -3*h(p) + 8*i(p). What is the remainder when 11 is divided by s(-8)? 2 Let z be -3 - (-3)/(6/14). Suppose -3*d = -4*m + 124, -5*m = -0*m - d - 155. What is the remainder when m is divided by (z/(-8))/((-1)/16)? 7 Let a = -18 + 39. Let s(j) = j + 14. Let c be s(-6). Suppose 2*x = 3*x - c. Calculate the remainder when a is divided by x. 5 Let n = -13 + 16. Let c be n*1/(12/64). Suppose -2*f = 2*h - c, 5*h + 2*f = 18 + 10. What is the remainder when 7 is divided by h? 3 Let i = 197 + -180. What is the remainder when 32 is divided by i? 15 Let f be -1*6/9*6 + 13. Suppose b - 5 = -4*i + f, -6 = 2*i. Calculate the remainder when 51 is divided by b. 25 Let k be 0 + -3 + -1 - 76. Let b = k - -118. Calculate the remainder when b is divided by 10. 8 Let m be -2 + -3 + 6 + 34. Suppose -b + 8*b - m = 0. Suppose 8 = -b*f + 223. What is the remainder when f is divided by 15? 13 Calculate the remainder when 1*(-3 + (-3250)/(-5)) is divided by 81. 80 Let u = 1175 + -1166. Calculate the remainder when 232 is divided by u. 7 Let g = 44 + -7. Suppose -4*w = -9 + 1, f - 105 = w. What is the remainder when f is divided by g? 33 Let n(o) be the first derivative of -5*o**2/2 - 8*o - 3. Let t = -136 + 133. Calculate the remainder when 18 is divided by n(t). 4 Suppose 0 = 2*y + 4*i - 44, 0 = -5*y - 2*i + 43 + 75. Calculate the remainder when y is divided by 19. 5 Let h(t) = -19*t + 6 - t**3 - 1 + 14*t - 14*t**2 + 4. What is the remainder when h(-14) is divided by 27? 25 Suppose -12*n - 64 = -15*n + 2*m, 0 = n + 2*m - 24. What is the remainder when 119 is divided by n? 9 Suppose -89*m = -60*m - 14645. Calculate the remainder when m is divided by 30. 25 Let q(h) = 17*h - 6. Let c(i) = -i**3 - 2*i**2 + 2. Let r be c(-2). What is the remainder when 108 is divided by q(r)? 24 Let s(f) = 3*f - 3. Let i be s(1). Suppose -y + 50 + 162 = i. Suppose -4*v = -0*v - y. Calculate the remainder when v is divided by 18. 17 Calculate the remainder when (-71 + 217)/(((-2)/3)/(-1)) is divided by 103. 13 Suppose 3*l = -2*l + 275. Calculate the remainder when l is divided by 57/4*168/126. 17 Let f be (-24)/(-21) + (-1)/7. What is the remainder when 24 - f/(-1*(-1)/(-3)) is divided by 2? 1 Let b(d) = -14*d - 194. What is the remainder when b(-47) is divided by 140? 44 Let h(z) = -z**2 - 5*z + 1. Let r be h(-4). Suppose 2*n - r*n = -30. Let t(u) = -59*u - 277. What is the remainder when t(-5) is divided by n? 8 Suppose -825 - 2631 = -12*o. Calculate the remainder when o is divided by 17. 16 Suppose -5*i - 865 = -10*i. Let o(g) = -18*g + 29. Calculate the remainder when i is divided by o(0). 28 Suppose -4*b + 28 = 3*b. Suppose 4*l + 6*a = a + 3, -4*a = b*l - 8. What is the remainder when l is divided by 5? 2 Let n(j) be the first derivative of -j**2/2 + 24*j + 11. What is the remainder when n(6) is divided by 5? 3 Let z = 13 + -4. Let d(v) = -2*v**3 - 14*v**2 - v - 10. Let b be d(-7). Calculate the remainder when 17 is divided by (-5)/(b/(z - 3)). 7 Suppose 0 = 41*u - 61*u + 320. Suppose -34 - 29 = -p. What is the remainder when p is divided by u? 15 Let o be (-9 - 3) + 3/3. Calculate the remainder when 63 is divided by o/((-3)/(-12)*-2). 19 Let d(o) = 0*o - 4*o + 21 + 3*o. Let k be d(12). Calculate the remainder when (518/(-21))/((-2)/k) is divided by 28. 27 Let v be ((-5 + 3)*-3 - 2) + -3. What is the remainder when 39 is divided by 7*(-3)/((-3 - -2)/v)? 18 Suppose 3*p + 9 = 4*p. Let s = -10 + 14. Calculate the remainder when p is divided by s. 1 Calculate the remainder when 116 is divided by 54/(-36)*(-66)/9. 6 Suppose -5*s = 54 - 104. Calculate the remainder when 85 is divided by s. 5 Suppose d + l = -d + 6, -d + 3*l = -3. What is the remainder when (-600)/(-90) + 2/(-3) is divided by d? 0 Suppose -25 = -5*x, -2*x = -2*j + 3*x + 35. Let r = j - 28. What is the remainder when 7 is divided by r? 1 Suppose -104*u + 129*u = 1950. What is the remainder when u is divided by 47? 31 Let p be (-989)/(-215) - 4/(-10). Suppose -2*k = -p*k + 63. What is the remainder when 6*7 + 2/(-2) is divided by k? 20 Let h(j) = 2*j**2 - 14*j + 20. Let q be h(9). Suppose 0 = 4*v + 2*n - q, 18 = -3*v - n + 62. Calculate the remainder when 61 is divided by v. 13 Suppose -4*h - 7*h + 44 = 0. Suppose -2*g + q = -3*g + 11, 4*g + 3*q = 41. Calculate the remainder when g is divided by h. 0 Let w(f) = f + 23. What is the remainder when 89 is divided by w(-5)? 17 Let g = 266 + -217. What is the remainder when 243 is divided by g? 47 Let a = 51 - 42. Suppose -t - 4*t = -210. What is the remainder when t is divided by a? 6 Let j be 93 - (2/(-2) - 0). Let c be (4/(-6))/(8/(-3) - -2). What is the remainder when 36 is divided by c/5 - j/(-5)? 17 Suppose 19*x = -4*x + 4577. What is the remainder when x is divided by 41? 35 Let f(b) = -9*b - 15 + 5 + 5. Calculate the remainder when f(-3) is divided by 4. 2 Suppose 0*n = -n + p - 15, -3*n - 2*p = 50. What is the remainder when 4 is divided by (-6)/9*72/n? 1 Let a = -22 + 30. Calculate the remainder when 112 is divided by 177/6 + -2*2/a. 25 Let y = 0 + 3. Suppose y*z = i - 6*i + 222, 0 = -2*z - 3*i + 149. What is the remainder when z is divided by 12? 7 Let t = 27 + -18. Calculate the remainder when (-3)/(-30)*4 - 1290/(-25) is divided by t. 7 Let c(h) = -h**2 - 7*h. Let y be c(-7). Suppose 2*m - 79 + 17 = y. Calculate the remainder when 183 is divided by m. 28 Suppose 27*a = 35*a - 136. Suppose -5*z + 330 = 5*k, -k + 57 = 4*z - 12. Calculate the remainder when k is divided by a. 14 Suppose -3*v = -2*k + 83, -2*k + 3*k = 3*v + 37. What is the remainder when k is divided by 3? 1 Let s = 181 + 188. Let w = 642 - s. Suppose -5*k = 10, -4*k = -6*x + x + w. Calculate the remainder when x is divided by 27. 26 Suppose 3*m + 5*u = -5, u = -4*m - 0*m + 16. Let c(y) = -y + 19. What is the remainder when 69 is divided by c(m)? 13 Suppose -39 = -i + 5*p, -83 = -3*i + i + 5*p. Suppose -4*y = -m - 61, y - 4*m = -10 + i. Let v = y + -12. Calculate the remainder when 3 is divided by v. 1 Suppose -30 = -3*l - r, r = -3*l - r + 30. Let z = 532 - 515. What is the remainder when z is divided by l? 7 Let c = -12 + 14. Suppose -c = 5*r - 47. Calculate the remainder when 25 is divided by r. 7 Let r = 1 - 0.
{ "pile_set_name": "DM Mathematics" }
f a litre? 250 How many milligrams are there in 3.183898 kilograms? 3183898 Convert 878041.2 meters to millimeters. 878041200 How many nanograms are there in 6/5 of a microgram? 1200 How many seconds are there in 930558.8us? 0.9305588 Convert 8.599603 years to decades. 0.8599603 How many months are there in three fifths of a century? 720 Convert 6.747152 micrograms to grams. 0.000006747152 How many seconds are there in 7/15 of a day? 40320 How many grams are there in fourty-six fifths of a kilogram? 9200 What is six fifths of a millimeter in micrometers? 1200 What is 0.6569248km in micrometers? 656924800 What is 7.958652 years in decades? 0.7958652 How many milliseconds are there in 1/24 of a minute? 2500 How many years are there in 0.8125851 months? 0.067715425 Convert 27.68219m to nanometers. 27682190000 What is twenty-nine sixths of a week in minutes? 48720 Convert 0.8095962 nanometers to micrometers. 0.0008095962 How many years are there in one quarter of a century? 25 How many nanometers are there in five quarters of a micrometer? 1250 How many millilitres are there in eighty-seven quarters of a litre? 21750 What is 0.0747143 micrometers in kilometers? 0.0000000000747143 What is twenty-seven halves of a century in years? 1350 What is seven halves of a kilogram in grams? 3500 Convert 0.232821us to minutes. 0.00000000388035 Convert 1422602.1s to hours. 395.16725 What is 29/5 of a microgram in nanograms? 5800 What is 6/5 of a millisecond in microseconds? 1200 What is 764305.4mg in kilograms? 0.7643054 What is 26844.87 litres in millilitres? 26844870 How many months are there in four fifteenths of a century? 320 How many centuries are there in 1971.2703 months? 1.64272525 What is seven quarters of a millimeter in micrometers? 1750 What is 984.5625 months in decades? 8.2046875 How many centimeters are there in 1/4 of a meter? 25 Convert 8.992562 milliseconds to seconds. 0.008992562 What is 186117.2 millennia in months? 2233406400 What is fifty-one halves of a litre in millilitres? 25500 What is 81/4 of a gram in milligrams? 20250 What is 0.7057033 days in minutes? 1016.212752 What is 4.576624 micrograms in kilograms? 0.000000004576624 Convert 0.05467 kilograms to nanograms. 54670000000 What is twenty-seven fifths of a milligram in micrograms? 5400 How many millilitres are there in twenty-one halves of a litre? 10500 How many litres are there in 105257.7ml? 105.2577 Convert 645734.1 centuries to months. 774880920 How many months are there in sixty-eight thirds of a year? 272 Convert 0.3697804mm to meters. 0.0003697804 What is 3/5 of a tonne in kilograms? 600 Convert 48.67625km to centimeters. 4867625 How many millilitres are there in three eighths of a litre? 375 How many grams are there in 2/125 of a kilogram? 16 What is 3/32 of a week in minutes? 945 How many months are there in 64616.9 years? 775402.8 What is eleven eighths of a millimeter in micrometers? 1375 How many micrometers are there in 37/2 of a millimeter? 18500 What is nine tenths of a kilogram in grams? 900 Convert 169767.9 litres to millilitres. 169767900 What is 0.438324ng in kilograms? 0.000000000000438324 Convert 2.2400142s to minutes. 0.03733357 Convert 54.27025 litres to millilitres. 54270.25 How many micrograms are there in 3/10 of a milligram? 300 Convert 0.4551461um to kilometers. 0.0000000004551461 What is 15.05217 minutes in hours? 0.2508695 Convert 805.5669ml to litres. 0.8055669 What is 483.483735 minutes in weeks? 0.04796465625 How many centuries are there in 93.09507 millennia? 930.9507 How many millilitres are there in five quarters of a litre? 1250 Convert 60.73367t to milligrams. 60733670000 How many millennia are there in 54.3813 decades? 0.543813 How many grams are there in 62.31777ug? 0.00006231777 What is three fifths of a century in years? 60 How many seconds are there in 3/128 of a day? 2025 What is 869.113 millilitres in litres? 0.869113 How many nanometers are there in twenty-five halves of a micrometer? 12500 What is 907.3285 centuries in years? 90732.85 What is 400.7346 litres in millilitres? 400734.6 What is 7.381784 kilograms in grams? 7381.784 How many months are there in 507897.3 years? 6094767.6 How many litres are there in 860028.4ml? 860.0284 Convert 95482.55 years to decades. 9548.255 Convert 0.177451 microseconds to nanoseconds. 177.451 What is 1/4 of a day in seconds? 21600 What is 0.2882437mg in nanograms? 288243.7 Convert 41.788251 seconds to hours. 0.0116078475 What is 1.551372 centuries in decades? 15.51372 Convert 1.041211 litres to millilitres. 1041.211 What is one quarter of a meter in centimeters? 25 How many millilitres are there in 1/4 of a litre? 250 Convert 826176.4mg to micrograms. 826176400 What is 3/50 of a litre in millilitres? 60 Convert 8.888824km to micrometers. 8888824000 Convert 591.371 centimeters to meters. 5.91371 How many millilitres are there in 27/5 of a litre? 5400 How many grams are there in 5/4 of a kilogram? 1250 Convert 77.489 hours to microseconds. 278960400000 How many micrometers are there in fifty-one quarters of a millimeter? 12750 What is 343.6872 nanograms in milligrams? 0.0003436872 What is 11.58849nm in meters? 0.00000001158849 How many millimeters are there in 3.602814 meters? 3602.814 How many microseconds are there in 6/5 of a millisecond? 1200 What is 184.680513 nanoseconds in days? 0.0000000000021375059375 What is 7/2 of a litre in millilitres? 3500 What is 0.1342245 centuries in years? 13.42245 How many millilitres are there in fourty-four fifths of a litre? 8800 How many grams are there in 13/5 of a kilogram? 2600 How many years are there in twenty-nine fifths of a decade? 58 Convert 0.1578567mm to micrometers. 157.8567 What is 202.2205t in grams? 202220500 What is 9889.57um in centimeters? 0.988957 What is 21/4 of a millennium in years? 5250 What is 55.6599 litres in millilitres? 55659.9 How many seconds are there in 55.13592 days? 4763743.488 How many millilitres are there in 17/10 of a litre? 1700 What is 67.9771 years in millennia? 0.0679771 Convert 0.7874086 nanograms to tonnes. 0.0000000000000007874086 What is seventeen halves of a kilogram in grams? 8500 What is 27/5 of a litre in millilitres? 5400 How many nanograms are there in 31/5 of a microgram? 6200 What is ten ninths of a day in minutes? 1600 What is 3/8 of a litre in millilitres? 375 How many kilograms are there in 1/20 of a tonne? 50 What is 686062.7 tonnes in nanograms? 686062700000000000000 Convert 72999.45 milliseconds to hours. 0.020277625 Convert 0.1405863 microseconds to minutes. 0.000000002343105 What is 10/9 of a day in minutes? 1600 What is 760636.8 days in hours? 18255283.2 How many micrometers are there in 1/20 of a centimeter? 500 How many years are there in 3/25 of a millennium? 120 What is 923174.1 grams in nanograms? 923174100000000 How many micrograms are there in 48/5 of a milligram? 9600 How many grams are there in one tenth of a tonne? 100000 What is 3/40 of a second in milliseconds? 75 What is 7/2 of a litre in millilitres? 3500 What is three sevenths of a week in days? 3 How many kilograms are there in 1.140253 grams? 0.001140253 Convert 7.37192 weeks to minutes. 74308.9536 How many millilitres are there in one quarter of a litre? 250 What is 49.093 millimeters in centimeters? 4.9093 Convert 60.32472 millennia to months. 723896.64 Convert 847611.5 kilograms to tonnes. 847.6115 Convert 9606.183 kilograms to tonnes. 9.606183 What is 3/40 of a litre in millilitres? 75 Convert 1541.406ng to milligrams. 0.001541406 What is 592520.4 weeks in minutes? 5972605632 How many years are there in fourty-eight fifths of a century? 960 How many months are there in 27/4 of a year? 81 How many millilitres are there in 80624.19l? 80624190 What is one fifth of a meter in centimeters? 20 How many grams are there in 1/20 of a tonne? 50000 What is 11/4 of a day in hours? 66 How many hours are there in 7/3 of a day? 56 What is 3/8 of a litre in millilitres? 375 What is 0.9615548 nanograms in grams? 0.0000000009615548 What is 53/4 of a litre in millilitres? 13250 How many nanoseconds are there in 43.14513 microseconds? 43145.13 How many grams are there in 97287.82 tonnes? 97287820000 How many millilitres are there in fifty-four f
{ "pile_set_name": "DM Mathematics" }
t Let z = 7 + -8.5. Let l = -0.5 - z. What is the nearest to -0.1 in l, -4, -1/3? -1/3 Let f = -526 + 528. Which is the closest to f? (a) 0.5 (b) 2/13 (c) -2 a Suppose -g = 3*g - 4. Let v be ((-490)/343)/(1/(-1 + (-20)/(-6))). Which is the nearest to g? (a) -0.5 (b) v (c) 1/4 c Suppose -2*r - 4 = -4*q, -2*r + 4 = 4*q - 5*r. Suppose 3*s - 31 = -4*y, -y + 9 = s - 0. Which is the nearest to 1? (a) q (b) s (c) 3/4 a Suppose 6*h + 14 = -4*t + 4*h, h = 2*t + 1. Let y = -6 + 3.8. Let d = y + 2. What is the nearest to -0.1 in t, 1/4, d? d Let t = -78 + 75.04. Let o = t + -0.04. Let i = -6.4 - -6.6. Which is the nearest to 0? (a) o (b) -4/3 (c) i c Let x = -2 + 0.7. Let z = x + 0.3. Let f = 0.6 + 0.4. Which is the nearest to z? (a) -2 (b) 5 (c) f a Let j = -121.7 + 124.7. Suppose -o - 9 + 0 = 3*s, 4*s - 2*o + 22 = 0. What is the closest to 2 in s, -2/11, j? j Suppose 4*c - 24 = -k, -5*c + 2*c = -k - 11. Let r be (-4)/3 + (-3 - k/(-1)). What is the nearest to 0 in -5, 3, r? r Let f = -20.998 - 0.002. Let a = 21.29 + 0.21. Let j = f + a. What is the closest to -1 in 1, j, -1? -1 Let z be (-14)/(-42) + 1/(-3). Let a = -0.15 + 0.35. What is the closest to z in 0.1, a, 0.3? 0.1 Let a be (-4)/(-18) + (-28)/(-252). Let v = -2 + 1.8. What is the nearest to a in v, -4, 15/7? v Let r be (-2499)/255 - (-2 + -8). What is the closest to -5 in r, 4, -0.5, 2? -0.5 Let v = -1.41 - -4.41. Which is the nearest to 0.2? (a) v (b) -2/5 (c) 0.2 c Let l = -0.19 + 0.29. Let p(g) = -g**3 + 3*g**2 + g - 1. Let n be p(3). Let x be 6 + 51/(-21) - 4. Which is the closest to l? (a) n (b) 1/9 (c) x b Let i = 40.8 - 35. Which is the nearest to i? (a) -4 (b) 0.2 (c) 0 b Let q = 2.33 + 20.67. Which is the closest to -0.3? (a) q (b) 0.1 (c) -0.2 c Let w = -1.87 - -1.8. Let j = 0.18 - 0.18. Let u = 32/13 - -1/26. Which is the nearest to j? (a) u (b) -2/7 (c) w c Let y = -5042/585 + 272/39. Let i = y - -16/9. Which is the nearest to 0? (a) -3 (b) 4/3 (c) i c Let v = -29.94 - 0.06. Let w = -30.4 - v. Let g = 0.2 + -0.3. Which is the nearest to -1? (a) w (b) g (c) 2 a Let k = -492/5 - -98. Which is the nearest to -1? (a) k (b) 0.4 (c) 15 (d) -0.3 a Suppose -4*q = -3*g - 3*q + 211, 2*g - 143 = 3*q. Let l = g + -70. What is the closest to l in 0.1, 3, 2? 0.1 Suppose 0 = 11*g - 38 - 6. Which is the nearest to -1? (a) g (b) -77 (c) 5 a Let p = 1 - 0. Let s = -379 + 378. Let i = 3.9 - 4. What is the closest to p in i, s, 3/7? 3/7 Let r = -4 + 3.6. Which is the closest to r? (a) 0.4 (b) 2/9 (c) -2/27 c Let y(o) = o**2 - 2*o. Let w be y(3). Suppose -4*g = h - 4, h - 6*g + w = -3*g. Let v be 14/(-21)*(1 - 2). What is the closest to -0.3 in h, v, 1? h Suppose 3*w = -2*w + 40. Suppose 0 = 3*h - 2*h - w. Let p be h/52 - 7/(-39). Which is the nearest to -0.1? (a) -4 (b) p (c) -3/5 b Let x = -156 + 109. Let r = 47.2 + x. What is the closest to -1 in r, 1, -2/7? -2/7 Let g be (17/4)/(1/4). Let d = -33/2 + g. Suppose 28 = 843*o - 836*o. Which is the nearest to -1? (a) o (b) d (c) 0.2 c Let v = 7.16 - 0.16. Let x = v - 7.5. What is the nearest to -1 in x, 7, 4? x Let y = -764.1 - -723. Let u = -41 - y. Let v = 0.14 - -3.86. What is the nearest to u in 5, v, -0.1? -0.1 Let i = 647 - 649. What is the closest to -0.072 in i, 1/5, 1/2? 1/5 Let g = 1.8 - 2.1. Let d = -65 - -107. Let j be (-24)/d - (-66)/189. What is the nearest to 0 in j, g, 2? j Let v = -1.68 - -1.58. Which is the nearest to v? (a) 2 (b) 0.4 (c) 1 (d) 1/7 d Let m be 1*0/(15 - 7). What is the closest to m in 0, -7/2, -0.4, 2/11? 0 Let l be (6 - -5) + 78/(-7). What is the closest to 0.1 in -0.04, l, -5? -0.04 Let i = 1 + -21. Let g = -18.4 - i. Let q = 0.4 + g. Which is the closest to -1/4? (a) q (b) 1/5 (c) 1 b Let a(x) = 9*x - 144. Let l be a(16). What is the nearest to 11/3 in 5, 0.4, l, 4? 4 Let v = -549 + 548.5. What is the nearest to 0.1 in 0.04, v, 3, -4? 0.04 Suppose -30 = -2*y - 2. Suppose 0 = 5*o + 6 + y. Suppose -22 = 30*c - 41*c. What is the nearest to c in o, -0.4, 3? 3 Suppose 6 = -6*h + 3*h. Suppose -3*g + 5*n + 17 = -9, 0 = -2*g + 3*n + 17. Let j = g + h. Which is the closest to 0? (a) 4 (b) -0.3 (c) j b Suppose 863 = -21*h + 968. Suppose 2*t - 10 = 7*t. Let k be t/((-1)/(-2)*5). What is the closest to -1 in h, 2, k? k Let o = 21/2 - 43/4. Let i = 191.7 + -201. Let v = i + 9.2. Which is the nearest to o? (a) v (b) -1 (c) -0.5 a Suppose 2*d = -0*d + 5*v - 336, -4*d - v = 628. Let s be (368/(-7))/((-2)/6). Let l = s + d. Which is the nearest to 0.1? (a) l (b) 4 (c) -2/9 c Let x = -58 - -82. Let p = 24.646 + -0.596. Let n = p - x. What is the closest to n in 0.1, -1, 1/3? 0.1 Let v = 0.725 - 0.825. Which is the nearest to -1/2? (a) v (b) 1 (c) -1/3 (d) 1/2 c Let s = -11 - -10.8. Let i = 104/21 + -30/7. What is the nearest to i in s, -2, 6? s Let d be (6/45)/(1/3*-1). Let i be 26/8 + (-10 - -7). What is the closest to i in 12, d, -4? d Let t = -0.3387 + 2.3387. Let j = -2.9 + 2.79. Which is the nearest to t? (a) j (b) 1 (c) 2 c Let c be (-52)/3 - (-38)/(-57). Let r = -19 - c. What is the nearest to r in -0.12, -0.1, -0.2? -0.2 Suppose t + 2*x - 8 = 14, 3*x = -3*t + 78. Let k be (-2)/4 + (-9)/t. Let m = -0.1 + -0.2. Which is the closest to 0.2? (a) m (b) 0.5 (c) k b Suppose 5*r - 6 - 9 = 0. Suppose -9 = -4*j + r. Let w be (j/4)/((-50)/40). Which is the nearest to w? (a) 3/2 (b) 2/21 (c) -5 b Let i = 7.7 - 8. Let f = 288 + -286. What is the nearest to 1 in 3, i, f? f Let k = 73 + -73.38. Let w = -6.38 - k. What is the closest to 0 in 1/5, w, -2/5? 1/5 Let y = 4/11 + 10/33. Let m = 6/59 + -148/295. What is the closest to m in -4/3, y, -2? -4/3 Let u(i) = i**3 - 5*i**2 + 3. Let f be u(5). Let o = -9 - -10.2. Let x = o + -1.1. Which is the closest to x? (a) -5 (b) 5 (c) f c Let f = -0.18 + 0.38. Let m = 0.4 + -0.29. Let s = m + 0.89. Which is the closest to f? (a) -1 (b) s (c) 5 b Let j = -6 - 24. Let u = 0.483 - 28.483. Let k = u - j. Which is the closest to -1/4? (a) k (b) -5 (c) -2 c Let p be (-120)/70*(-2)/(-8). Let y = -1/14 + p. Let o be (-2)/(-11) - (-128)/22. Which is the nearest to -0.1? (a) o (b) 1 (c) y c Let h be -9*(7/(-28) - 3/4). Suppose -6*g + h*g - 9 = 0. Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) g b Let x = -5.44 - -2.44. Let l = -3/59 + 133/295. Which is the closest to -5/4? (a) l (b) x (c) 1/6 c Let s = -0.2 - -0.3. Let h = 0.131 - 61.131. Let j = h + 59. Which is the closest to j? (a) s (b) 0 (c) 5/6 b Let n = -6 + 11. What is the closest to -2/5 in 4, n, -19? 4 Suppose -5*s + 25 = -2*o + 4, 3*o - 3*s = -9. Suppose a = -o*a + 3. Let w be 1/(-6)*2/(-3). What is the nearest to a in 2, -1, w? w Let p be 363/51 - (7 + 0). Which is the nearest to -8? (a) 5 (b) 3 (c) -5 (d) p c Let f = 4427 - 4426. Let g(p) = 4*p**3 - p**2 + 2*p - 1. Let h be g(1). What is the closest to h in -2/13, -1/4, f? f Let i = -0.7 - -3.7. Let b = -17.9 - -35.2. Let n = b + -17. What is the nearest to n in i, 2, 0.4? 0.4 Let u = -293.1 - -297.1. Suppose -r = -4*x + 17, -8 - 8 = -2*r - 2*x. Which is the closest to -8/5? (a) u (b) r (c) 1 c Let m = 135 + -131. What is the nearest to 0.2 in m, 0, -1, 1/5? 1/5 Let v = -2 - -1. Let p = 12505.5 + -12506. Which is the nearest to -1? (a) p (b) v (c) -19 b Let v = 739 + -735. Which is the nearest to 2? (a) 2 (b) v (c) 3 (d) -30 a Let r = 1.31 + -1.61. Which is the nearest to -0.1? (a) -1 (b) 3/4 (c) r c Let s = -114 + 124. Which is the closest to s? (a) -0.2 (b) 0.1 (c) 0.2 (d) -0.4 c Let h = 3.754 + 0.246. What is the nearest to -6 in h, -1, 0? -1 Let o = -73 + 7. Let r = -460/7 - o. Which is the nearest to r? (a) 5 (b) 0.3 (c) -1 b Suppose 4*k + 15 = 3*l, 5*l + 0 - 2 = -k. Let i = -1.92 - -1.8. Let h = 0.32 + i. What is the nearest to 1/3 in l, h, -3? h Let f = 112 + -112.99. Let x = f - 0.01. What is the closest to x in 3/4, -0.2, -5? -0.2 Suppose -540 = -2*a - 4*y, -3*a + a + 3*y = -505. Let f be (45/a)/((-3)/(-6)). Let b = f - 49/104. What is the nearest to 0.2 in -1, b, 0.1? 0.1 Let d be (-13)/3 + 1/3. Let i = 3181/10 + -318. What is the closest to i in d, 5, 13? d Let y = 192 + -141. Which is the closest to 0? (a) 3 (b) y (c) -0.1 c Let s = -0.2 + 0.2. Let j = 1
{ "pile_set_name": "DM Mathematics" }
60737681 a prime number? True Is 16200577 prime? True Is 69028807 prime? False Is 44790751 a composite number? True Is 22444189 prime? True Is 38736317 composite? False Is 38883989 a prime number? True Is 2414749 a composite number? False Is 9776639 composite? False Is 89253797 a composite number? True Is 153446891 prime? False Is 2735087 prime? True Is 10381303 prime? False Is 7015861 a prime number? False Is 655439 a composite number? False Is 6190831 a composite number? True Is 100352531 prime? True Is 111477329 prime? True Is 10460495 composite? True Is 13336679 a composite number? True Is 4486054 a composite number? True Is 137266631 a composite number? False Is 10026539 a composite number? False Is 40443131 prime? False Is 11491573 prime? True Is 19992367 a prime number? True Is 1119923873 composite? False Is 7543843 composite? False Is 383803 a composite number? True Is 92512571 prime? False Is 19966621 a prime number? True Is 178692181 a prime number? 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True Is 5130847 prime? True Is 140787161 a prime number? True Is 2276357 a composite number? False Is 471250961 a composite number? False Is 34712407 a prime number? True Is 12469861 composite? False Is 1549856855 prime? False Is 361232519 composite? True Is 52039983 a prime number? False Is 6714311 prime? True Is 8744794 prime? False Is 84780607 composite? False Is 80354 prime? False Is 9037159 a prime number? False Is 10123241 a prime number? True Is 209851 a prime number? True Is 201621829 a composite number? False Is 581974 a composite number? True Is 4741169 composite? False Is 26017067 composite? False Is 7110673 composite? False Is 6625622 a prime number? False Is 1449779 a composite number? False Is 564929 a prime number? False Is 392617 prime? False Is 1343299 composite? False Is 1126847 a composite number? False Is 38170733 prime? True Is 2000789 composite? True Is 3111271 a prime number? True Is 54367766 a prime number? False Is 1703381 a composite number? 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False Is 123304543 a composite number? True Is 646013 a composite number? False Is 560975413 a prime number? True Is 91756673 composite? True Is 14213113 a composite number? False Is 2435549 composite? True Is 8773199 a composite number? False Is 103111913 composite? True Is 84627517 a prime number? False Is 9980599 a composite number? False Is 42882205 a composite number? True Is 1961321 a composite number? False Is 366473 composite? True Is 54184913 prime? False Is 1179379 composite? False Is 25301 composite? False Is 7453799 a prime number? True Is 120521 a composite number? True Is 17509045 a composite number? True Is 4759093 prime? True Is 146776333 a composite number? True Is 22265953 a composite number? False Is 145964621 composite? True Is 15888533 prime? True Is 8331047 a prime number? True Is 308717177 a composite number? False Is 224431633 a prime number? True Is 5545561 a composite number? True Is 196001941 prime? False Is 87781237 prime? True Is 104025413 a composite number? True Is 903523 a composite number? True Is 151238999 composite? False Is 2466223 a composite number? False Is 2657813 composite? True Is 189758885 composite? True Is 5177869 composite? False Is 1583233 prime? True Is 269119 prime? False Is 665499923 composite? True Is 207
{ "pile_set_name": "DM Mathematics" }
= 0, 119*d - 117*d + 7 = -3*i for i. 1 Solve 2*a = -0*a + 4*k, -5*a = 5*k + 30 for a. -4 Solve 5*b = 2*o + 4, 4*b = -3*o + 7*o + 8 for b. 0 Solve -d = 5*f - 0 + 1, -5*d = 3*f + 5 for f. 0 Solve 0 = 3*h - 5*c + 2, 51*h = 55*h - c - 3 for h. 1 Solve -6*s + 3 = 2*q - 3*s, -3*s + 3 = -2*q for q. 0 Solve 2*k = -5*y - 15, 3*k = -y - y + 5 for y. -5 Solve -4*v = v + 25, 5*n - 2*v + 10 = 0 for n. -4 Solve 4*l - 2*j - 3*j = 0, 0 = l - 3*j for l. 0 Solve 5*f = 4*o - 32, -2*o + 59 = -4*f + 37 for f. -4 Solve 0 = -3*j - 9, -63*i + 4*j = -66*i - 3 for i. 3 Solve 3*w - 2*f = -4, 239*f - 4 = -3*w + 243*f for w. -4 Solve 0 = 5*b - 4*q + 32, 2*b - 3*q + 14 + 3 = 0 for b. -4 Solve 3*v = -v + 2*q + 2, 5*v - q - 1 = 0 for v. 0 Solve -4*f + 5 = a + 10, 3*a = 5*f + 2 for f. -1 Solve m + 4*t = 23, 2*t - 4 = m + m for m. 3 Solve -39 = 5*b - 6*y, b + 2*y - 20 = 5*b for b. -3 Solve -r = -4*m + 19, 0 = 5*m + 5*r - r - 8 for m. 4 Solve 3*p - 2*i - 4 = 0, p + 5*i + 13 = 3 for p. 0 Solve k = -2*z + z + 2, 0 = 5*z - 2*k - 31 for z. 5 Solve 0 = -2*d - q + 5, 15*q - 4 = 11*q for d. 2 Solve -4*s + 10 = 2*t, 4*s - 9 = 420*t - 421*t for t. 1 Solve -2*m + 4*v = -24, -28 = -2*m - 3*m + 2*v for m. 4 Solve 2*a - 2 + 3 = 3*q, -16 = -4*q - a for q. 3 Solve 5*l = -14*c + 16*c - 15, -4*l - 12 = 3*c for l. -3 Solve -12*p = -8*p - 8, k - 3*p = -11 for k. -5 Solve 0*m - 8 = -3*m + 4*h, 0 = 2*m + 2*h + 4 for m. 0 Solve -2*g + 2223 = -3*o + 2230, -2*g = -o + 9 for g. -5 Solve -1 = 2*k + 3, -2*c - 4 = -2*k for c. -4 Solve -34*p - 5*x = -32*p + 9, 4*x = -3*p - 3 for p. 3 Solve 0 = -3*f + 15, 6*h - 4*h = 5*f - 29 for h. -2 Solve -4*i = 4*d + 4, 2*d - i - 16 = -2*d for d. 3 Solve 4*m - 19 = p, -3*m + 22 = 2*p + m for p. 1 Solve -9 = 4*g - g, -g - 19 = -4*x for x. 4 Solve 5*q + 0*q = 3*r - 4, 2*q - 25 = 5*r for q. -5 Solve 23 = -5*m - 7*v + 11*v, -5*v + 10 = 0 for m. -3 Solve -5*t = 5*d - 15, 0 = -t - 5 + 3 for d. 5 Solve 5*h + f + 20 = 3*f, 5*h + 15 = f for h. -2 Solve -4*w - 24 = -4*l, -4*w - 14 = -3*l - 2*w for l. 2 Solve 3*u = -10*c + 14*c + 10, -c - 11 = -5*u for c. -1 Solve -5*f = 3*n - 29, 22*f - 4*n = 21*f - 8 for f. 4 Solve 10 = -2*n + 2*s, -n + 1 = 68*s - 66*s for n. -3 Solve -3*g - 5*t + 3*t = 17, -4*t = -3*g - 11 for g. -5 Solve -v - 5 = -m, 2*v - 2 = -m - m for m. 3 Solve -5*b = -f + 4*f - 13, 5*f = -5*b + 15 for b. 2 Solve -b - 5*k = 8 + 4, 2*b = k - 2 for b. -2 Solve 5*g + 2*p + 12 = 0, -3*g + 9*p - 4 = 7*p for g. -2 Solve 4*w + 2 = -2*q, 36*w = 33*w - 3*q - 9 for w. 2 Solve 2*n - 2 = c, 6*n - 10 = 2*n + 5*c for n. 0 Solve 12 - 5 = f - 4*h, 3*f = -3*h - 24 for f. -5 Solve -a = -4*i - 8, -4*a + 23 = -3*i + 4 for i. -1 Solve -h = -o + 4*h, 0 = -5*o - h + 26 for o. 5 Solve -4*y - 3 = -j, -10*y + 13*y - 24 = 6*j for y. -2 Solve 0 = o - 2*p - 2 - 1, -2*o = -2*p - 2 for o. -1 Solve -175*w + 177*w = -5*g - 10, -4*g - 8 = 0 for w. 0 Solve 9*d - 18 = -2*l + 5*d, -l - 15 = -4*d for l. 1 Solve -8 = 5*j + 3*y, 6*j - 2*j - 3*y = -1 for j. -1 Solve -2*s + 14 = -3*n, s + 35*n - 37*n - 9 = 0 for s. 1 Solve -3*q - u = q - 6, 0 = q + 4*u - 9 for q. 1 Solve -3*q = -2*a + 21, 5*q - 5*a + 40 = -0*q for q. -5 Solve 4*y - 5*r = -1, 3*y + 3*r = -0*r + 6 for y. 1 Solve -4*f + 0 = -5*b - 5, 0 = -4*f - 20 for b. -5 Solve 5*t - 2*i - i - 10 = 0, 4*t - 5*i = -5 for t. 5 Solve -4*p + 16 = -5*i, 0 = 18*i - 16*i + p - 4 for i. 0 Solve 0 = -3*m - 2*d - 3 + 9, -2 = -m + 4*d for m. 2 Solve -5*o + 185 = 2*x + 199, -4*x + 24 = -3*o for x. 3 Solve -36 + 18 = -4*z + 2*m, m = -z for z. 3 Solve 0 = 4*t + t - 3*x - 37, -4*x - 31 = -3*t for t. 5 Solve -2*l - 4 = 2*h, -13*l - 15 = 4*h - 16*l for h. -3 Solve -5*s = -56*y + 61*y + 20, 23 = 3*y - 4*s for y. 1 Solve 2*q + 8 = -5*w - 10, 4*q - 12 = 2*w for w. -4 Solve -2*w + 4*n = -12, -3*w + 2*n + 9 = 5*n for w. 4 Solve -5*a - 2*d + 10 = 0, -d - 7 = -3*a - 1 for a. 2 Solve 24*l + 3*o = 19*l + 5, 4*o - 30 = 5*l for l. -2 Solve -2*a + 4*m + 16 = 0, -3*m = -2*a + 4*a + 12 for a. 0 Solve -2*n - 7 - 5 = -5*h, h = 2*n + 4 for h. 2 Solve -3*i - a - 14 = -3*a, 2*i - 4*a + 12 = 0 for i. -4 Solve -3*l = -2*l + 4*b - 5, -l - 13 = -5*b for l. -3 Solve -33 = 4*s - 25, l - 9 = 3*s for l. 3 Solve -j = 5*f - 21 + 10, 4*j = -4*f + 12 for j. 1 Solve -6*r + r - 12 = -3*q, -5*q + 4*r + 7 = 0 for q. -1 Solve 100*z - 97*z - 5*l + 9 = 0, -z = -2*l + 4 for z. 2 Solve 2*s = -3*k + 19, -8*s + 5*s = 2*k - 21 for s. 5 Solve 4*l = -4*b + l + 28, 28 = 5*b + 2*l for b. 4 Solve 3*u + 3*a = -3, 3*u + a + 13 = -4*a for u. 4 Solve 2*a = 2*u - 4, 5*u - 4 = 2*a - 3*a for a. -1 Solve 36 - 24 = -4*a + 4*d, 4*d - 19 = -3*a for a. 1 Solve 5*s - 5*n + 2 = 4*s, 4*s - 15 = -3*n for s. 3 Solve 2*f + 3*m = -10, -2*f = 4*m - 8*m - 4 for f. -2 Solve -f = -g - 3*f - 14, 0 = -f - 5 for g. -4 Solve 0*q - 5*q = -15, 2*q - 12 = -2*w for w. 3 Solve -13*g + 8 = -10*g + 2*f, -2*f + 14 = 4*g for g. 6 Solve 0 = -a - 7*w + 2*w - 21, 2*a + 2*w = -10 for a. -1 Solve -5*n - 5 = 2*t, -n + 3*t = -4*n - 3 for n. -1 Solve 2*x = 5*m + 14, -2*x - 32 = 2*x + 5*m for x. -3 Solve -5*w - v = 6, -7*v + 14 = w - 3*v for w. -2 Solve -5*m + 2*h = 3*h + 1, 2*m = -3*h - 3 for m. 0 Solve 2*c = 2*g + 16, 2*g + 4 = -3*c + 13 for g. -3 Solve -4*b - 5*i = 7, -97*i = -4*b - 92*i - 17 for b. -3 Solve -4*j - 28 = -5*l, 4 = 98*j - 94*j + 3*l for j. -2 Solve -2*u + 4*u - 4 = -3*o, -3*u + 6 = 2*o for o. 0 Solve -q - 16 = -5*a, 0*a + 2*a = 8 for q. 4 Solve 0 = -5*s - 3*v + 7, 3*s - 5*v + 28 - 5 = 0 for s. -1 Solve -5*o - 2*z = 3*z, 10 = -2*z for o. 5 Solve -2*a - 18 = l - 7*a, 0 = -5*l + 4*a - 6 for l. 2 Solve 0 = 6*g - 2*g + 2*z + 2, z = 5*g - 15 for g. 2 Solve -4*k - h = 1, -2*k - 315 = 2*h - 319 for k. -1 Solve -o - 4*d - 4 = -1, o - d = -3 for o. -3 Solve -2*v = q + 5, 2 = q - 7*v + 2*v for q. -3 Solve 3*c - 3*p - 16 = 2*p, 14 = 2*c - 4*p for c. -3 Solve -n = -3*z + 3 + 8, 0 = 5*n - 5*z + 15 for n. 1 Solve 2*y + 7*q - 2*q = -25, -3*q = 9 for y. -5 Solve 1 + 1 = -p, k - 15 = 5*p for k. 5 Solve -3*q = 2*l, 2*q + 5*l = -0*l for q. 0 Solve 0 = u - 3*f - 5, -26*u + 22*u = f - 20 for u. 5 Solve -27 = -5*i + 3*o, -19 + 4 = -i + 3*o for i. 3 Solve -14 = -2*w + 4*g - g, 4*w - 20 = 4*g for w. 1 Solve 0 = -2*s - 2, -10*s + 14*s + 14 = -2*q for q. -5 Solve -j + 3*j = 2*u - 8, 0 = -j - u for j. -2 Solve 0 = 3*k - 2*l + 4 + 7, l - 8 = 4*k for k. -1 Solve 0 = 5*y + 25, -4*j - 8*y = -13*y - 25 for j. 0 Solve -4*x + 2*t = 10, -12 = -18*t + 14*t for x. -1 Solve 6*o + 15 = -3*p + 9*o, -2*p - o = -2 for p. -1 Solve -4*u + 3*l + 17 = -0*u, -2*u = l - 1 for u. 2 Solve -4*d + 14 = -6*d + 2*l, 3*l - 9 = 0 for d. -4 Solve -25 = 5*b + 5*w, 7*w = -2*b + 2*w - 19 for b. -2 Solve 3*q = -m - 1, -4*m - 1 = -3*m for q. 0 Solve -4*c - 2*x = -4, -3*c + 2*x + 6 = 3 for c. 1 Solve 4*f + w + 5 = 0, -3*w - 10 = -w for f. 0 Solve -o + 3*a - 2 = 2*a, 17 = -5*o - 2*a for o. -3 Solve 3*g - 26 = -5*q, -2*g - q + 11 - 3 = 0 for g. 2 Solve -4*b + b = -w + 11, -3*w = -3*b - 3 for b. -5 Solve 4*v + 17 = -n, -27*v + 30*v + 9 = 3*n for n. -1 Solve -4*l + 4 = 0, -5*n - 5*l + 8 = -6*n for n. -3 Solve 2 = -h - q, 0 = -5*h + 3*q - 5*q - 19 for h. -5 Solve 4*x - f - 2 = -2*f, -3*f = -x + 7 for x. 1 Solve 0 = -55*d + 51*d - 2*x - 26, 0 = 2*d + 2*x + 18 for d. -4 Solve -f + 1 + 2 = 2*h, 5*f + 3*h = 15 for f. 3 Solve -2*s = 4*v + 8 - 18, 11 = 2*v - s for v. 4 Solve -10 = 2*t + 29*u - 25*u, 4*t = -u - 20 for t. -5 Solve 0 = 3*h + 2*j - 2, 2*h + 3*j = -j - 4 for h. 2 Solve 2*t - 12 = 4*u, -9*t + 4 = -4*t + 3*u for t. 2 Solve 2*u - 14*n - 4 = -15*n, -2*u = -3*n + 12 for u. 0 Solve 10*v = -s + 5*v - 3, 3*v - 6 = 2*s for s. -3 Solve s - 4*h = 23, -3*s - 5*h - 27 = -11 for s. 3 Solve 3*z = -4*g + 5, 0 = 29*z - 33*z + 12 for g. -1 Solve 0 = 2*f - q + 7, -f + 15 = 5*q + 2 for f. -2 Solve -2*x - 1 = 3*y, 4*x = -0*y - 3*y - 11 for x. -5 Solve -4*o - x + 1 = -2*o, -4*x - 4 = 0 for o. 1 Solve o - 16 = 5*o, -5*o = 5*s + 15 for s. 1 Solve 5*k - 2*n - n = -3, 5 = 5*k - 5*n for k. -3 Solve 5*k - 13 = -r, 4*k - 3*r + 0 = 18 for k. 3 Solve y + y - 2 = -4*u, 5*y - 2*u - 29 = 0 for y. 5 Solve 0 = f + 3*s + 7, -3 = -3*f - 2*f + 4*s for f. -1 Solve -3*s = -7*s + 5*o - 8, -5 = -3*s + o for s. 3 Solve 0 = 2*m + m + 2*z - 13, 4*m - 4 = 4*z for m. 3 Solve -3 = 8*x - 3*x + 3*u, -4*u - 4 = -4*x for x. 0 Solve q + 44 = 4*s + 61, 0 = s - q + 8
{ "pile_set_name": "DM Mathematics" }
-1. Suppose x + j = 5. Solve 2*c = 2*p - 0*p + 10, 0 = -4*c + x for p. -4 Let u(l) = 9*l + 13. Let a(b) = -4*b**3 + 3*b**2 + 3*b - 3. Let g be a(1). Let y be u(g). Solve 5*x + 24 = x + y*w, -5*x = 5*w for x. -3 Let l = 269 + -267. Let o = 8 + -6. Solve -x + 4*v = -o*x - 6, l*x = -4*v - 8 for x. -2 Suppose -6*w + 7*w - 4*r = -4, 0 = -2*w - 5*r + 5. Solve -3*b - q + 11 = w, 31 = 2*b - 4*q + 5 for b. 5 Let q = -2 - 8. Let g = q + 16. Solve -5*a + a - 2*j + g = 0, -j + 1 = 0 for a. 1 Let m(n) = -7*n - 9. Let a be (-1)/2*24/(3 + 3). Let w be m(a). Solve 5*q - 3*q + 4*j = -24, 0 = w*j + 25 for q. -2 Let x(y) = -y**2 - 12*y - 15. Let l be x(-11). Let d be 130/(-15) + l/(-6). Let t = d + 13. Solve -3*g - 5 = -t*c, 4*g + 3*c - 7*c = 4 for g. 5 Let a(d) = d**3 - 13*d**2 - 15*d + 17. Let q be a(14). Suppose 0 = 5*n + 5*g - 10, 3 = -3*g - q. Solve 0 = 2*c + n, -3*i + c - 5*c + 7 = 0 for i. 5 Let a(f) = 6*f**2 - 22*f - 34. Let s be a(5). Solve -n - s = 2*m, 6 = -5*m + 3*n + 2 for m. -2 Let p = 22 - 16. Suppose 8*x - 5*x = p. Suppose 4*b + 4*d - 22 = 2*b, -d - 22 = -5*b. Solve -5*k + 3*o = 12, x*k + o - 2*o + b = 0 for k. -3 Let w be (8 + -3)*136/(-20). Let o = w + 36. Suppose -m = 4*m - g - 29, -o*m + 9 = -3*g. Solve -2*y + 0 = -r - 5, 0 = 2*r - m for y. 4 Suppose 5 = -p, -p + 54 = -5*l + 89. Solve 5*k = t + 3 - l, t + 4 = -2*k for k. -1 Suppose 15 = -18*i + 123. Solve -q - 1 = -5*a + 14, 5*q + i = 2*a for a. 3 Suppose 5 = a - n, -5*a + n = -n - 16. Let t be 2*(7/a + 4). Solve 3*r + 5*v = 18, 5*v + 2 = 2*r + t for r. 1 Let t(g) = -g**2 + 9*g - 7. Let n be t(4). Suppose q = 16 - n. Solve -y = q*o + 5, 0*o + 15 = 3*o - 3*y for o. 0 Let c be -2*-1*(-5)/(-2). Let t = 62 - 62. Suppose -c*w + 4*r = -33, 3*w + 5*r + t = 5. Solve -2*j = -2*d - 0*d - 10, 0 = 5*j + w*d + 25 for j. 0 Let a(y) = -y**3 + 5*y**2 + 3. Let f be a(3). Let k = -18 + f. Let v be ((-10)/k)/(6/(-18)). Solve 2*q + 0*u + v = -u, 0 = -u for q. -5 Suppose -y - 2*y + 5*d + 305 = 0, 4*d - 196 = -2*y. Suppose -5*k + 135 = -y. Let c = -37 + k. Solve 6*l - 19 = -a + l, 3*l = -2*a + c for a. -1 Let w be -1 - (-7)/((-35)/(-20)). Solve 4*h + w*s = 2*s, 3*s - 13 = h for h. -1 Suppose 0 = -5*u - 11 - 84. Let h = u + 21. Solve 2*y + k + 5 = 0, -k - h = y - 0 for y. -3 Let t be -6*((-16)/12)/2. Solve -7 = -4*l + 1, 33 = 5*h + t*l for h. 5 Let n be 4/(-14) + (-788)/(-14). Let k = n + -31. Suppose g + 4*g = -3*u - 19, 5*u = 3*g + k. Solve 2*m + 5*v = 4, -4*m + 6*m - 4 = u*v for m. 2 Suppose 2*a - 15 = -a. Let c(w) = -w + 12. Let m be c(9). Suppose d = a*f - 2 - 21, -13 = -f + m*d. Solve -3*z - 2*i + 3 = i, -3*i + 6 = f*z for z. 3 Suppose 0 = 2*f + 1 - 9. Let o(b) = 250*b + 3023. Let q be o(-12). Solve -d - 2*z + q = f*d, -z = -d - 1 for d. 3 Let z(r) = 36*r**2 + 5*r + 3. Let u be z(-1). Solve -g + 3 = 4*m, 5*g - 3*m + u = 3 for g. -5 Suppose -24 = -689*q + 688*q. Solve 17*b - 3*a = 14*b + 6, 3*b - q = -3*a for b. 5 Let y = 106 - 174. Let p = -66 - y. Solve -3 = -3*r + 2*w, -2*w - p*w = 3*r - 3 for r. 1 Suppose 7*a - 3*a - 2*k = 28, 14 = 2*a + 4*k. Let v(s) = s**3 + 5*s**2 + 3*s. Let c be v(-4). Solve 0 = -l - c, 5*i + 2*l - a = -0*i for i. 3 Suppose 2*s - 35 = -2*a + 3, 5*a + 25 = 0. Solve -8*h + 7*h + s = 5*v, 2*v = -2*h + 16 for v. 4 Let y = -454 + 456. Solve 0 = 2*q - y*o + 10, 26 = -5*q - 4*o + 1 for q. -5 Let y = 1056 + -1053. Solve 2*j + 20 = y*f + 2*f, 16 = -4*j - 2*f for j. -5 Let c be 16/6 + 6/(-9). Let j = 14 + -12. Suppose 2*z + 0*z = 0. Solve -6*q + o - 28 = -q, z = c*q + 4*o - j for q. -5 Let g = -51 - -112. Let t = g - 59. Solve -o = 2*i + 7, 0 = 5*o - 0*i + t*i - 5 for o. 3 Suppose 102*t = 27*t + 375. Solve -2*s = -2*v - 6, -4*v - 12 = s - t for v. -2 Let z be ((-6)/(-12))/(2/36). Suppose j + z = 29. Solve 2*i - c = 4, 0*i - j = i + 5*c for i. 0 Let s = 26 - 18. Let m be -1*s/(-2) - 1. Solve -m*r + d + 3 = 0, 7*d + 15 = 5*r + 2*d for r. 0 Suppose -2286 = 9*h - 2331. Solve 2 - 6 = -b - 3*d, 10 = b + h*d for b. -5 Let t(i) = 2*i + 12. Let f be t(-3). Let w(r) = r**2 + 4. Let h be w(0). Let s(l) = l - 2. Let v be s(5). Solve h*m - m - v*g + f = 0, 4*g + 27 = -3*m for m. -5 Suppose 15 = 3*m - 0. Suppose -1001*j + 1000*j = -2. Let k be 1 + (1 - 2) + 4. Solve -2*u = -4*o - 22, -3*u = k*o + m + j for u. 3 Suppose 7*z - 2*z = 45. Suppose 3*s - 17 = -2*c, 3*c + 7 = 3*s - s. Let k be z/3 - (c + -1). Solve -k*l - 17 = -4*j, -5*l = 5*j - 2 - 28 for j. 5 Let u be (-108)/5 + 4/(-10). Let g be (230/(-15))/((-4)/(-6)). Let f = u - g. Solve -2*h + h + 5 = 2*z, 2*z + 3*h = -f for z. 4 Suppose j + 0*j + 2*q = -28, 0 = 4*j + 3*q + 112. Let s be (j/2)/(2 + -4). Let v = 5098 + -5094. Solve -v*i - 18 = -2*o, -s = 2*i - 4*o - 1 for i. -5 Let p = -11 - -13. Suppose -3*n + j = 45, -p*n - 3*j - 75 = 3*n. Let a be (-27)/(-5) - (-6)/n. Solve b + 3 = -2*k - 0*b, 0 = 4*k + 3*b + a for k. -2 Let a(k) = k**3 - 2*k**2 - 6. Let y = 45 + -42. Let p be a(y). Let u = 46 - 21. Solve 5*c - u = -2*o, p*c - o = -5*o + 15 for c. 5 Suppose -6*d + d - 5*w + 35 = 0, 13 = d + 3*w. Solve 1 + 1 = p - l, -5*p = -2*l - d for p. 0 Suppose 0 = b - 24 - 90. Suppose -2*p + b = p. Suppose 20 = -2*i + p. Solve -u - 2*u = 4*h + 2, -h - 5*u = i for h. 1 Let m(u) = 13*u - 268. Let t be m(21). Solve -z - 17 = -t*n, -4*n + 10*z - 14*z + 28 = 0 for n. 4 Let z = -3 - -13. Let g be 30/z - (-2)/1. Solve -4*b + g*k = 21, 5*b + 5*k = -0*k - 15 for b. -4 Let l = 27 + -23. Solve 0 = 5*p + 3*f + 24, 9*f + 9 = 2*p + l*f for p. -3 Suppose -5*s + 6*s - 7 = 0. Let t(h) = -h**3 - 9*h**2 - 8*h + 5. Let n be t(-8). Solve 6 = -n*a + 2*o, s*o - 3*o + 6 = a for a. -2 Let s be 4/(-3)*(-24)/2. Suppose 65 = 13*i - 8*i. Suppose 8*h = i*h - 120. Solve -5*o = 3*g - g - h, s = 4*g + 2*o for g. 2 Suppose 0 = 13*c - 10*c + 54. Let k = 23 + c. Let h = k - 2. Solve -2*s + 2*w + 10 = -0, -3*s = h*w + 15 for s. 0 Let h(g) = 6*g**2 + 3*g + 1. Let j be (-1)/(3/1 - (8 + -6)). Let y be h(j). Solve 0 = -w - y*c + 19, -5*w - 3*c + 4 = -6 for w. -1 Let w(u) = -u**3 + 5*u**2 - 7*u + 3. Let q be w(4). Let s(y) = -3*y - 23. Let m be s(q). Solve 5*p = 4*g - 32, -m*p = -g - 0 + 19 for p. -4 Let f be ((-87)/(-29))/((-3)/(-16)). Solve 0 = 3*w - 3*b - 27, b = 2*w - f + 2 for w. 5 Suppose 0 = -40*q + 227 + 93. Solve -20 = -i - 4*u, -i + 5*u - q = 2*i for i. 4 Let w be 2 - ((-7)/6 - 3/(-18)). Solve -g - 4*g + w*r = 32, -5*g = -r + 24 for g. -4 Let u be (((-12)/(-20))/(-1))/((-6)/240). Solve 2*a = 4*z - u, 3*z - 13 = a + 3 for a. -4 Let j = -207 - -240. Solve -29 = l + 5*k, 0*l - 5*k = 2*l + j for l. -4 Let z(q) = q**2 - 10*q - 50. Let r be z(-4). Solve -f - h = -5*f + 17, 2*h + r = f for f. 4 Let f(t) = -t**3 - 31*t**2 - 31*t - 27. Suppose 60 = -2*p - 0. Let v be f(p). Let h be 1 + 3 - (2 - 1). Solve 3*i + h*m + 3 = 9, v*m = 0 for i. 2 Let o = -129 - -132. Suppose -3*y + 64 = y. Suppose r = -o*z + 2*z + y, -5*r + z + 56 = 0. Solve 5*a - v = -r, 9 = -2*a - 2*v - 3 for a. -3 Let g(q) = -q**3 - 3*q**2 + q + 6. Let v be g(0). Solve 3*i - 3*s - 12 = 0, 0 = -2*i + 4*s - 3*s + v for i. 2 Let q be (-3)/(-6)*-5*-2. Suppose -u - 4*b - 5 = -9, q*u = 4*b + 68. Let m = u + -8. Solve 2*y + 22 = -m*i, 4*y + 19 = 2*i - 5*i for i. -5 Suppose 451*n - 431*n - 60 = 0. Solve 9 = s - l - n*l, -2*s - 4*l = 18 for s. -3 Let b be ((-25)/35*-7)/1. Solve b*h - 20 = 0, 0 = -4*y - 0*y + h - 4 for y. 0 Suppose -300 + 287 = -q. Solve 2*z - 7 + 1 = -4*m, -q = -2*m + z for m. 4 Suppose 5*c = 3*l + 39, 3*c - 2*l - 12 - 12 = 0. Let a(s) = -s**3 + 5*s**2 + 6*s + 14. Let j be a(c). Solve -3*n + 4*r + 8 = -j, -n = 3*r + 10 for n. 2 Suppose 0 = 2*t + t - 27. Suppose 9 + t = 9*c. Solve -1 = -r - m, r - 6*r + c*m = -5 for r. 1 Let g = -6 - -6. Solve g = 4*o - o - 6, 0 = 3*h - 4*o + 20 for h. -4 Suppose 15*h - 45 = 10*h. Suppose 3*i + 0 = h. Solve 4*m + 0*m + 23 = i*t, -3*m - 5*t - 10 = 0 for m. -5 Let i(d) be the second derivative of -d**4/12 - d**3 - d**2/2 + 9*d. Let v be i(-5). Solve 2*o = -v*p - 12, 3*o + 16 = -4*p - 0 for p. -1 Let b = 6 - 2. Suppose 0 = j - 3, -3*j - 55 = -0*z - b*z. Suppose -3*h = -3*y - 6*h, -4*y + 3*h + 28 = 0. Solve -4*q - z = -5*i, -q - y*i + 5*i = 4 for q. -4 Let p be 46/8 + (-60)/80. Solve -n - 4 = 4*m + 5, -p*n = -2*m + 1 for n. -1 Let z be ((-18)/(-15))/((-15)/(-350)). Solve -2*j = -5*k + z, -2*j - 3*j - 20 =
{ "pile_set_name": "DM Mathematics" }
is divided by 218? 19 Let o(w) = 89*w + 3*w**3 + 8*w**2 - 95*w - 2*w**3 - 10. Suppose 0 = 3*h - 0*h + 24. What is the remainder when o(h) is divided by 8? 6 Let a = -1217 + 1243. Calculate the remainder when (7 - 4)*194/6 is divided by a. 19 Let f be 32/40*75/(-1). Let w(a) = -a**3 - 2*a**2 + 4*a + 30. Calculate the remainder when w(0) is divided by ((-6)/4)/(10/f). 3 Let p(r) = 2*r**2 - 84*r + 141. What is the remainder when p(44) is divided by 6? 5 Suppose -5*s = 3*m - 1195, 2*m - 11*s - 803 = -8*s. What is the remainder when m is divided by 51? 43 Suppose q = -1, 4*z + q = -7 + 26. Let t be 40/(-16)*(-12)/z. Suppose -2*i = -i - t. What is the remainder when 7 is divided by i? 1 Let y(k) = 10*k - 9. Suppose 2*a = 2*u - a - 291, u - 5*a = 135. Let q = u - 134. What is the remainder when y(4) is divided by q? 15 Let o(w) = w**3 + 18*w**2 + 41*w - 3. Suppose 4 = 4*v + 2*n, 4*v - 2 = 3*n + 2. Calculate the remainder when o(-15) is divided by 1*29 + 0 + v. 27 Let s(y) be the first derivative of -19*y**2/2 + 5*y + 23. Let f be s(5). Let d = -76 - f. What is the remainder when 97 is divided by d? 13 Let j(p) = p**3 - 3*p**2 + p. Let v be j(3). Suppose 17 - v = 7*m. What is the remainder when 5 is divided by m? 1 Let u(z) = z**2 - 2*z - 8. Let f be (-26)/((-5)/((-10)/(-4))). Suppose -5*h = -12 - f. Calculate the remainder when u(-3) is divided by h. 2 Let t(n) = n + 3*n - 33 + 15 + 14. Let j be t(-5). Let i = j + 52. Calculate the remainder when i is divided by 16. 12 Let z(a) = -3*a - 26. Let f(v) = -3*v**2 + 2*v. Let r be f(2). Let l be z(r). Let d(g) = -2*g**3 - g**2 - 2*g. What is the remainder when 45 is divided by d(l)? 13 Suppose 8*u - 454 = 418. Suppose -5*i + 21 = -u. Suppose -3*y = i - 68. Calculate the remainder when y is divided by 8. 6 Suppose 34*q + 69 - 1020 - 1021 = 0. What is the remainder when 138 is divided by q? 22 What is the remainder when -4 + 194 + 1 - -3 is divided by (9 + -9)*(-2)/4*-1 - -11? 7 Suppose 4*o - 1991 = -4*z - 279, 4*o + 2059 = 5*z. What is the remainder when 12566 is divided by z? 415 Suppose 313*o - 627*o + 1059 = -313*o. Calculate the remainder when o is divided by 260. 19 Suppose -24*i - 32*i = 7*i - 63378. What is the remainder when i is divided by 490? 26 Let x = -512864 + 512873. Let a(c) = -24*c. Calculate the remainder when a(-1) is divided by x. 6 Suppose 49*b = -113 + 750. Let o(i) = 5*i**2 - 26*i - 12. Calculate the remainder when o(7) is divided by b. 12 Let r(p) = p**3 + 3*p**2 - 4*p - 3. Suppose j + 12 - 136 = 0. Let q = -126 + j. Calculate the remainder when 35 is divided by r(q). 8 Let i = 8745 + -8674. What is the remainder when i is divided by 37? 34 Suppose 5*q - 4*f - 162 = 140, -3*f - 242 = -4*q. Calculate the remainder when -1 + 9177/77 - (5 + 265/(-55)) is divided by q. 56 Let y = 2701 + -2685. What is the remainder when 114 is divided by y? 2 Let j(i) = -i**3 + 5*i**2 + 3*i - 19. Let y be j(5). Let a be 0 + (4 - (1 + -3)). What is the remainder when (172/(-6))/(y/a*1) is divided by 9? 7 Let j be 8/5 + (-2)/(-5). Let x(d) = -52 + 25*d**2 - 20*d - 15*d**j - 11*d**2. What is the remainder when 66 is divided by x(-15)? 20 Let g(k) = -32. Let p(u) = -u + 1. Let m(v) = g(v) - 2*p(v). Let f be m(-10). Let n = f + 59. Calculate the remainder when 14 is divided by n. 4 Suppose -11*b + 12*b - 5*m = 714, -3*b + 2074 = 2*m. Suppose b = 4*i + 438. Calculate the remainder when 119 is divided by i. 55 Let l = 643 + -575. Let c(t) = -t**2 + 4*t + 7. Let d be c(5). Calculate the remainder when l is divided by 16 + (-1 - 3)/d. 12 Suppose 0 = -0*x - 3*x - q + 175, -2*x - 4*q + 120 = 0. Calculate the remainder when 164 is divided by x. 48 Let m(h) = -110*h - 4. What is the remainder when m(-1) is divided by 6 + (402/33 - (-4)/(-22))? 16 Let i(n) = 413*n + 847. What is the remainder when 4781 is divided by i(-2)? 14 Let t(g) = -11*g**2 - 17*g - 16. Let z be t(-1). Let i(l) = l**2 + 5*l - 34. Calculate the remainder when 28 is divided by i(z). 12 Let j(g) = -3*g**2 - 220*g - 13. What is the remainder when j(-10) is divided by 118? 117 Suppose 186*g + 199 - 2887 = -38*g. Calculate the remainder when 1594 is divided by g. 10 Let m = 75 + -12. Let p = 72 - m. Suppose 7*n - p*n = -178. Calculate the remainder when n is divided by 18. 17 Suppose 0 = 2*s, 2*u - u = s + 21. Let d be 70/u*48/20. Suppose -8*q + d = -6*q. Calculate the remainder when 9 is divided by q. 1 Suppose -5*a + 4*s + 83 = 0, -11*s + 6*s = 4*a - 91. Let j(c) = c + 2. What is the remainder when 124 is divided by j(a)? 19 Let b = -7716 - -7950. What is the remainder when 934 is divided by b? 232 Let u(o) = -4*o + 72. Let q be u(19). Calculate the remainder when 98 is divided by 25/(((-32)/q)/8). 23 Calculate the remainder when (-260)/120 + (-4)/(-6) - 168756/(-24) is divided by 293. 291 Let w = 2402 - 2135. Calculate the remainder when w is divided by 26. 7 Let o(p) = -20*p - 7. Let c be o(-2). Let j = 33 - c. Suppose j = -4*y - y + 235. What is the remainder when y is divided by 12? 11 Let m(n) = n**3 - n**2 - 5*n + 6. Let l be m(2). Suppose -7*r + 445 + 255 = l. What is the remainder when r is divided by 34? 32 What is the remainder when 3456 is divided by ((-5440)/(-140) - -4)/((-2)/(-7))? 6 Let v = 191 + -186. Suppose 0 = -v*q + 4*t + 60, -t = -q - 0*t + 13. What is the remainder when 22 is divided by q? 6 Let z = -4933 + 4952. Suppose v - 2*y = 2*y + 166, 5*y + 167 = v. Suppose f + 2*f = -3*h + 231, -4*f + v = 2*h. What is the remainder when h is divided by z? 16 Let t(v) = 12*v**2 - 40*v**2 + 15*v**2 - 24 + 14*v**2 + 4*v. Let f be t(-7). What is the remainder when 25 is divided by (-5 + 26)*(-2)/f? 11 Calculate the remainder when 344 - (-18)/(-4)*290/261 is divided by 14. 3 Suppose 156 = -735*v + 738*v - 3*w, -w - 288 = -5*v. What is the remainder when 183 is divided by v? 6 Calculate the remainder when 1735286/84 + -2 + 66/36 is divided by 71. 68 Suppose -5*q + 926 = v - 9*q, 5*q + 1837 = 2*v. Suppose -13*p + 7*p + v = 0. Calculate the remainder when p is divided by 51. 49 Let m = -135 + 138. Suppose -w - 135 = -3*n, n - m*w = -6*w + 55. Calculate the remainder when 225 is divided by n. 41 Let t(h) = 2*h**3 + 2*h**2 - h - 5. Let y be (-21)/56 + 81/24. Let m be t(y). Let z = m - 28. Calculate the remainder when z is divided by 19. 17 Calculate the remainder when 558 is divided by 440/66*((-318)/(-24) - (-1)/4). 18 Let n(k) = -172*k**2 + k. Let a be n(1). Let m be (-1 - -1 - -8)/(22/121). Let t = m - a. What is the remainder when t is divided by 36? 35 Let h be (2*2*-3)/(-2). Let u be (-15)/(-6)*(-5)/((-25)/h). Suppose 0 = u*k - k - 54. What is the remainder when 49 is divided by k? 22 Suppose -4*j + 2674 = 3*i + 1071, j + 4*i = 404. Calculate the remainder when 2011 is divided by j. 11 Suppose 41 - 29 = m. Suppose 0 = -m*p + 16*p - 88. Calculate the remainder when p is divided by 0 + 19/((-57)/(-36)). 10 Let l = -61 + 80. Suppose 0 = -3*t + 3*v + 75, -2 = -t - v + l. What is the remainder when 87 is divided by t? 18 Let w be (-10 - -54)/(-11)*(1 + -2). Suppose 4*c - w*q - 80 = 0, 28*q - 33*q + 100 = 3*c. What is the remainder when 623 is divided by c? 23 Let v = 18 - 20. Suppose 1606 = 12*z + 10*z. Calculate the remainder when z is divided by -2 + 4 - (v - 11). 13 Let v = 1249 + -1210. Calculate the remainder when v is divided by 10. 9 Suppose 2412 - 2861 = -2*w + 3*x, -5*w + 5*x = -1135. What is the remainder when 4165 is divided by w? 221 Let d be 8/40 - (-382)/(-10). Let u = 162 - d. Calculate the remainder when u is divided by 51. 47 Suppose 2*m - 4*k - 16 = 0, 4*m + 3*k = 3*m - 7. Let r = -2021 + 2024. Calculate the remainder when r is divided by m. 1 Let i be (5/1)/(13 + -14). Let g be 3*(-3 + (200/(-12))/i). Calculate the remainder when (-195)/2*((-30)/18 + g) is divided by 22. 21 Suppose -c = -s - 1860, -3*c + 9270 = -5*s - 8*c. Let g = -1326 - s. Calculate the remainder when g is divided by 19. 18 Let k(o) = 38*o**2 + 126*o + 4265. What is the remainder when k(-34) is divided by 9? 7 Suppose 2*y - 6817 = -x, y = 12*x - 14*x + 13637. Calculate the remainder when x is divided by 6. 3 Suppose 8*b + 5006 = 1814. Let v = b + 496. What is the remainder when v is divided by 26? 19 Let t(n) = n**2 + 571*n + 6998. Calculate the remaind
{ "pile_set_name": "DM Mathematics" }
the form a*l**3 + k*l**2 + s*l**4 + n*l + r and give r. -3 Rearrange -1 + 3*x**3 + 8*x**2 + 0*x**2 - 6*x**2 to the form u*x + g + z*x**3 + h*x**2 and give g. -1 Express (186 + 5*k - 186)*(3 - 3 + 1)*(-5 + 3 - 4) as m + u*k and give u. -30 Express 2*d**3 - 3*d**2 + 6*d**3 + d**2 - 5*d**3 + 4 in the form g*d**2 + w*d**3 + z + k*d and give z. 4 Express 7*g + 3*g + 16*g**3 - 8*g as t*g + p*g**2 + q + a*g**3 and give t. 2 Express (6 - 1 - 3)*(t**2 + 0*t**2 - 2*t**2) + (-t + 4*t + t)*(-3*t - 3*t + 5*t) - 3*t**2 + 0*t**2 + 2*t**2 in the form j + u*t**2 + m*t and give m. 0 Rearrange (2 + 0*n - n + 0*n)*(-3*n + 1 - 1)*(0*n**2 + 14*n**2 - 2*n**2) to the form i*n**3 + a*n**2 + d + c*n + u*n**4 and give i. -72 Express -33*g**3 - 34*g**3 - 4*g**2 - 3*g + 69*g**3 in the form j + n*g + q*g**2 + x*g**3 and give q. -4 Rearrange 7 + 5*q**2 + 8 - 12 + 2*q**3 + 0*q**3 to z*q**3 + y*q**2 + x*q + s and give y. 5 Rearrange (-5*i + 2*i + i)*(-1 + 3 - 3) to d*i + a and give d. 2 Rearrange -86*a**2 + 5 + 15 + 0*a + 85*a**2 - 2*a to the form b*a + m*a**2 + w and give m. -1 Express ((-5 + 0 + 2)*(-4 + 4 + j) + 2 + j - 2)*(-4*j + 3*j**2 + 4*j) in the form v + b*j + p*j**3 + f*j**2 and give b. 0 Rearrange -2*z**3 + 10*z**3 - 3*z**4 - 6 - 6*z**3 + z**4 to the form t + r*z**3 + p*z**4 + s*z**2 + w*z and give r. 2 Rearrange 655 - 655 - 35*g to h*g + a and give h. -35 Express -10*w + 2*w - 17*w as v + g*w and give g. -25 Rearrange f - 2 + 2 + (2 + 2 - 6)*(1 - 1 + f) + f + 2*f - 4*f + (-2 + 1 - 1)*(-4 + 4 + f) + 5*f - 7*f - 4*f to the form b + h*f and give h. -10 Rearrange 4*o**2 - 8*o + 0*o**2 - o**2 - 5*o to z + k*o**2 + l*o and give l. -13 Express 2*b - 9 - 3*b + 0 in the form l*b + t and give l. -1 Rearrange (-2*j - 46*j + j)*(-3 + j**2 + 3)*(3 - 2*j - 3) to the form x*j**4 + b*j**2 + v + y*j**3 + c*j and give x. 94 Express -226 - 66*j**4 + 226 + (-2*j**4 + 0*j**2 + 0*j**2)*(1 - 2 - 2) as d + y*j**4 + o*j**2 + g*j + m*j**3 and give y. -60 Express (0*k + 0*k + 2*k)*(22*k + 0*k**2 + 3*k**2 + 5*k**2) in the form y*k**2 + t*k + r*k**3 + i and give r. 16 Express 0*r**4 - 2*r**2 + 0*r + r - 2*r**4 - 2 + 5*r**2 as o*r**2 + a*r + x + h*r**3 + j*r**4 and give x. -2 Express 10*o**2 - o**3 + 2*o + 67 - 67 - 2*o**4 + (2*o - 3*o + 3*o)*(-3*o**3 + o**3 + 0*o**3) in the form w*o**4 + l*o + d*o**3 + u + g*o**2 and give g. 10 Express 9 + 8 - 28*w - 17 in the form m + d*w and give d. -28 Express -2*d**4 - d**2 + 3*d**2 + 2*d + 1 + 0 + 0*d**2 in the form h*d**3 + o + x*d**4 + y*d + i*d**2 and give i. 2 Express 4*j - 4*j + 2*j + (4 - 2 - 6*j + 3*j)*(0 + 3 - 7) as m + o*j and give o. 14 Express -31*a - 78*a + 38*a - 44*a in the form r + u*a and give u. -115 Express -4*p**2 + 4*p**2 - p**2 + (-4*p - 2*p + 4*p)*(3*p - 7*p + 25*p) + 0*p**2 - 6*p**2 + p**2 as f*p**2 + t*p + g and give g. 0 Express (2 - 3 - 1)*(-4 + 2*m + 5 - m)*(-284 - 67 + 71) in the form g + z*m and give g. 560 Rearrange (7*v - 12*v + v)*(0 + 0 + 2*v) + v**2 - 4*v**2 + v**2 to the form j*v**2 + p*v + g and give j. -10 Rearrange -10*k - 26*k + 13*k to f*k + x and give f. -23 Rearrange 39*d**3 + d - 77*d**3 + 41*d**3 to x*d + i + t*d**2 + z*d**3 and give z. 3 Rearrange (-4 - 1 - 2)*(2*h + 0*h - h)*(4 + 4 - 7) + 3 - 3 + 3*h to q*h + r and give q. -4 Express -5*k**3 - k**4 + 5*k**3 + (-2*k**3 + 0*k + 0*k)*(-8*k - 3*k + 3*k) in the form j*k + a + x*k**4 + m*k**3 + q*k**2 and give m. 0 Rearrange -o + 0*o**2 + 0*o - 5*o**2 - o to the form g*o + h*o**2 + r and give g. -2 Express (-4*y - 4*y + y + (2*y - 1 + 1)*(-2 + 4 + 0) - 6*y + 2*y + 2*y)*(-3*y + 0*y + y) as x*y + u*y**2 + l and give u. 10 Express -3*i**2 + 6*i - 2*i**3 + 2*i**4 - 8 + 3*i**2 + 9 in the form f*i**4 + w*i**3 + k*i + d + h*i**2 and give k. 6 Express -14*c**3 + 22*c**3 - 1 + c**4 - 2*c - 7*c**3 as r*c**3 + q*c**2 + z + g*c**4 + v*c and give v. -2 Rearrange (-41*f**3 - 6*f + f + 37*f**3)*(-5*f + 9*f + 12*f) to o*f**4 + w + n*f**2 + x*f + v*f**3 and give o. -64 Rearrange -86*z + 36*z + 17*z + (3 + 2 - 3)*(-z + 2*z - 3*z) to the form j*z + m and give j. -37 Rearrange -4*t - 6*t + 2*t - 6*t to the form g*t + w and give g. -14 Rearrange 0*a - 4*a + 2*a + 0 + a + 0 + (-a - 3*a + 6*a)*(-2 + 4 - 1) + 3*a + 3 - 3 - 9*a - a - a + 3*a - 5 + 5 to the form j + p*a and give p. -4 Express 24*p + 96*p**2 - 52*p + 28*p in the form m*p + q*p**2 + l and give q. 96 Rearrange 47*h**3 - 3 - 2*h + 4*h - h - 46*h**3 to c*h + r*h**3 + a*h**2 + b and give r. 1 Rearrange (-n - 5*n**2 + n)*(-3*n + 0*n + 0*n + (0 - 2*n + 0)*(4 + 1 - 3)) - n**3 - 5*n**3 + 5*n**3 to the form v + y*n**2 + c*n + p*n**3 and give v. 0 Rearrange o - 2*o + 3*o + o + 4*o - 3*o + (-1 + 5 + 2)*(-2*o + o + 3*o) to the form f*o + d and give f. 16 Rearrange (-2*p - 3*p + 3*p)*(-2 + 2 + 1 - p**3) + (-2*p**4 + 2*p**4 + p**4)*(0 + 3 - 2) to the form l*p**3 + s*p**4 + r + q*p + b*p**2 and give s. 3 Rearrange 16*g**2 - 31*g**2 + 17*g**2 + 3 to the form a + p*g**2 + o*g and give p. 2 Express 5*y + 11 - y**3 + 0*y - 4*y as d + t*y**3 + x*y + a*y**2 and give d. 11 Rearrange 8 + 0 - 7 + 22*p**2 - 2 to the form x + s*p**2 + w*p and give x. -1 Rearrange (2 - g - 2)*(-2 + 2 - 2) + 6 - 4 + 6*g - 5*g to the form n*g + b and give b. 2 Rearrange 2*o**2 + 3*o**2 - 7*o**2 + (0*o - o + 3*o)*(-7*o + 3*o + 2*o) to d + h*o**2 + z*o and give z. 0 Rearrange (0*w + w + 0*w - w - 2*w + 4*w + (1 + 2 - 2)*(0*w + 4*w - 3*w))*(34*w**2 + 33 - 33)*(2 + w - 2) to c*w**3 + b*w + p*w**4 + y*w**2 + a and give b. 0 Express 6 + q**3 + q + 0*q**3 + q**3 + 0 in the form y*q**3 + o + x*q**2 + z*q and give o. 6 Express d + 9*d**3 - 3*d + 3*d**2 + 2 - 5*d**3 + 0*d as v*d**3 + a + u*d + g*d**2 and give a. 2 Rearrange (2*y + 2*y - y)*(1 + 3 - 3) - y + 8 - 3 - 2 to the form i + x*y and give i. 3 Express 0*h**4 + 0*h**4 - 2*h + 2*h**4 + 13*h**3 + 3*h + 2*h**2 + 2 in the form b*h**2 + x + n*h**4 + r*h + m*h**3 and give m. 13 Express 2 + 2*b**2 + 0*b**3 + 4*b + b**3 - b**2 - 4 as u*b**3 + k + y*b + x*b**2 and give k. -2 Express (3 - 3 + r)*(-r + 0*r - r) - 4*r**2 + 3*r**2 + 2*r**2 - r**2 + 3*r**2 - 4*r**2 + (-2*r - 3 + 3)*(4 - 4 - 3*r) in the form z + u*r**2 + q*r and give u. 3 Rearrange (d - d**2 - d + (2*d**2 - 2*d**2 - 2*d**2)*(2 + 2 - 2))*(-5*d + 6*d - 5*d) to r*d + x + p*d**3 + n*d**2 and give p. 20 Rearrange (3 + 1 - 3 - 3 + 2 + 3 - 4 + 0 + 3 + (-1 - 2 + 1)*(2 + 1 - 4))*(-4*y**3 - 43*y + 43*y) to z + j*y**3 + k*y + b*y**2 and give j. -16 Express 28*y**3 + 0*y - 11*y + 9*y as l + x*y**2 + r*y + a*y**3 and give r. -2 Express 272*a - 278*a + 1 - 1 as b + z*a and give z. -6 Express (97 + 10*c - 97)*(-c - 1 + 1)*(-2 + 2*c + 2) as r + x*c**2 + v*c + a*c**3 and give a. -20 Rearrange -5*l + 3*l - l**3 - 2*l to the form s*l + r*l**2 + n*l**3 + b and give s. -4 Rearrange (-5*i + 3*i + 3*i)*((-3 + 6 - 1)*(4 - 5 + 3) - 5 + 3 + 1) + i - 1 + 1 to the form b*i + r and give b. 4 Express 3*s**2 - 42*s**2 - 15*s**2 - 4*s**2 as t*s**2 + i*s + z and give i. 0 Express -5 - 12*t**2 - 5 + 2 + 6 as g + r*t**2 + b*t and give b. 0 Rearrange -2*y**3 - 2*y**3 + 5*y**3 + ((-4*y + 0*y + 3*y)*(-y - 2*y + 0*y) + y**2 - 2 + 2)*(2*y + 4*y - 2*y) to the form f*y**2 + d*y**3 + q*y + j and give d. 17 Rearrange 2 - w**3 + 3*w + 4*w - 16*w**3 - 2*w**4 - 5*w to c*w + a*w**3 + l + z*w**2 + m*w**4 and give a. -17 Express 1242 + 7*j + 2*j**2 - j**3 - 1242 in the form a*j**3 + u + z*j + x*j**2 and give z. 7 Express 39*i + 0*i - 6*i as f + p*i and give f. 0 Express 6*n**3 - 7 - 2*n**3 - 2*n**3 + 5 - n in the form m*n**2 + y + k*n**3 + u*n and give u. -1 Rearrange -5*y**3 + 5*y**3 + y**4 + (2*y**3 + 2*y**4 - 2*y**3)*(4 + 3 - 4) + 0*y**2 + 0*y**2 - 3*y**4 - 1 to s + l*y**2 + p*y**3 + a*y**4 + i*y and give i. 0 Express (40 - 20*t - 40)*(-3*t**2 + 4*t**2 - 2*t**2) + (-5 + t**2 + 5)*(0 + 0 + 2*t) in the form x*t**2 + v*t**3 + w + z*t and give v. 22 Express (2*v**3 - 2*v**3 + v**3)*(11*v + 3*v + 9*v - 1) as a*v**3 + t + b*v + j*v**2 + n*v**4 and give j. 0 Rearrange 3*m**4 + m + 239 + 3*m - 3*m**2 - 241 - m**4 to v*m**3 + n*m**2 + j*m**4 + o*m + u and give u. -2 Express 4*h**2 + 36*h + 44*h - 114*h + 42*h in the form x*h**2 + r*h + u and give u. 0 Express -4 + 9*j - 10*j + 8 + 4 in the form i*j + c and give i. -1 Express -5*y**2 + 0 + 1 + 3*y**3 + 2*y**2 - y + 1 as f*y + v + m*y**2 + k*y**3 and give k. 3 Express -2*m
{ "pile_set_name": "DM Mathematics" }
= 24*d**2 - 20*d + 20. What is w*j(t) - 3*s(t)? -12*t**2 Let t = -27 + 33. Suppose -5*d - 14 = -4*p, p + 9 = -4*d + 2. Let o(h) = h**3 + 6*h**2 - 8*h + 5. Let x(r) = -r**2 + r - 1. What is p*o(n) + t*x(n)? n**3 - 2*n - 1 Let p = 2085 + -2092. Let d(w) be the second derivative of -5*w**4/6 + 7*w**3/6 + 2*w. Let r(v) = -9*v**2 + 6*v. Determine p*r(q) + 6*d(q). 3*q**2 Let l(f) = 8*f - 7. Let g(q) = -q**2 - 11*q - 15. Let v be g(-10). Let j(a) = -a + 1. Give v*j(k) - l(k). -3*k + 2 Let m(a) = 9*a + 3. Let b(y) = -7*y. Let s(o) = 22*o - 1. Let p(h) = -14*b(h) - 4*s(h). Let z(g) = -5*m(g) + 4*p(g). Let j(k) = 14*k - 3. Give -3*j(q) - 8*z(q). -2*q + 1 Suppose 8*p = 4 + 4. Let b(l) = -l**3 - 4*l**2 + 2*l + 5. Let r be b(-4). Let m(v) = v**3 - 1. Let z(d) = 2*d**3 + d**2 - 6. Give p*z(c) + r*m(c). -c**3 + c**2 - 3 Let d(y) = -2*y - 20 + 9*y**2 + 10 + 8. Let z(o) = 343*o**2 - 77*o - 77. What is 77*d(k) - 2*z(k)? 7*k**2 Let h(s) be the first derivative of -5*s**3/3 + 2*s + 2. Let u(a) be the second derivative of 33/2*a**2 + 0*a**3 + 2*a + 0 - 27/4*a**4. Give 33*h(y) - 2*u(y). -3*y**2 Let z(t) = 2*t**3 + 15*t**2 + 5*t + 1. Let v(g) = 2*g**3 + 17*g**2 + 7*g + 2. Give 3*v(q) - 4*z(q). -2*q**3 - 9*q**2 + q + 2 Let n(h) = 1369*h**2 + 10*h + 19. Let v(b) = 2054*b**2 + 16*b + 30. Determine -8*n(r) + 5*v(r). -682*r**2 - 2 Let x(k) = -6*k + 42*k**3 - 36*k**3 - 7*k**2 + 13*k. Let t(r) = -3*r**3 + 3*r**2 - 3*r. Suppose -2*z - 7 = -z. Calculate z*t(q) - 3*x(q). 3*q**3 Let w(t) = t - 2. Let y(g) = 20*g + 8. Determine -3*w(x) - y(x). -23*x - 2 Let x(w) be the third derivative of -w**4/6 + w**3/2 + 67*w**2. Let o(l) = -9*l + 5. Calculate 3*o(p) - 7*x(p). p - 6 Let v(t) = 3*t**2 + 5*t + 14. Let l(n) = 4*n**2 + 8*n + 16. Determine 2*l(o) - 3*v(o). -o**2 + o - 10 Let c(a) be the second derivative of -3*a**5/10 - 11*a**4/12 - a**3/2 + 5*a**2/2 - 2*a + 3. Let k(g) = -2*g**3 - 4*g**2 - g + 2. Give -4*c(m) + 11*k(m). 2*m**3 + m + 2 Let f = -15 - -21. Let h = 30 - 41. Let v(w) = -2*w + 6. Let o(d) = -4*d + 11. Give f*o(r) + h*v(r). -2*r Let f(t) = -5*t**2 + 4*t - 37. Let v(q) = -226*q + 80*q + 9 + 75*q - q**2 + 2*q**2 + 70*q. Give -2*f(a) - 9*v(a). a**2 + a - 7 Let q(w) = 3*w**3 + 3*w + 4. Let y = -9 - -18. Let l(k) be the third derivative of 7*k**6/120 + 7*k**4/24 + 3*k**3/2 + 3*k**2. Give y*q(r) - 4*l(r). -r**3 - r Let o(p) = p + 1. Let i(r) = -13*r + 4. Let w(l) = 5*l - 2. Let s(z) = i(z) + 2*w(z). Determine -o(k) - s(k). 2*k - 1 Let u(n) = -6*n + 4. Suppose 0 = -138*f + 154*f - 96. Let x(v) = v + 3. Let b be x(-6). Let z be -3 - (8 - b) - -1. Let j(r) = -3*r + 2. Give f*u(o) + z*j(o). 3*o - 2 Let n(b) = 7*b**2 + 6*b - 6. Let m(g) = 17*g**2 - 39*g**2 - 17*g + g**2 + 17. Calculate 6*m(s) + 17*n(s). -7*s**2 Let t(r) = -4*r - 3. Let p(o) = -11*o - 9. Let q(b) = 5*b + 199. Let u be q(-41). Determine u*p(x) + 17*t(x). -2*x + 3 Let z(w) = -w. Let u be z(-2). Let g(i) = -158*i + 0 + 154*i + i**3 - u. Let c(k) = -k**3 + 5*k + 3. Determine -2*c(y) - 3*g(y). -y**3 + 2*y Let b(s) = -3*s**2 - 18*s - 5. Let x(f) = -2*f**2 - 9*f - 2. Let h(p) = 2*b(p) - 5*x(p). Let m(a) = -11*a**2 - 27*a. Give -8*h(c) - 3*m(c). c**2 + 9*c Let u(d) = -d**2 + d + 1. Let h(j) = 207*j**2 - 8*j - 3 - 204*j**2 - 2 - 1. Determine h(m) + 6*u(m). -3*m**2 - 2*m Let g(c) = -8*c + 26. Let p(s) = 4*s + 24. Let j(m) = -m - 5. Let k(f) = 9*j(f) + 2*p(f). What is 6*g(i) - 52*k(i)? 4*i Let y(l) = 2. Let j(u) = -u**3 + 13*u**2 + 13*u + 2. Let k be j(14). Let h(q) = -4*q**2 - 12. Determine k*y(v) - 2*h(v). 8*v**2 Let q(k) = 9*k**3 + 12*k**2 + k + 6. Let b(o) = o**3 - 2*o**2 + o - 1. Calculate 6*b(a) + q(a). 15*a**3 + 7*a Let k(s) = s**2 + 3*s. Suppose 22*i + 31 = 119. Let f(o) = -o**2 - 4*o. What is i*k(x) + 3*f(x)? x**2 Let u(t) = -2*t + 2*t + 4 + t**3 - 3. Let x(o) = 4*o**3 + 3*o**2 - o + 5. Let p(k) = -k**3 - 20*k**2 + 45*k + 17. Let g be p(-22). What is g*u(d) + x(d)? -d**3 + 3*d**2 - d Let j = 425 + -426. Let n(u) = -u + 1. Let g(f) = -4*f + 5. What is j*g(x) + 6*n(x)? -2*x + 1 Let h be (-363)/77 + (-4)/14. Let i(m) = -3*m**3 - 5*m**2 - 2. Let r(g) = -2*g**3 - 3*g**2 - 1. Suppose 2*y = -2*u - 2, -u = 2 + 2. What is h*r(d) + y*i(d)? d**3 - 1 Let u(n) = 11*n - 104. Let q(c) = -20*c + 208. Calculate -4*q(v) - 7*u(v). 3*v - 104 Let a(b) = 2579 + b**3 - 2*b - 2579 + 2*b**2. Let f(u) = u**3 + 9*u**2 + 9*u + 11. Let x be f(-8). Let m(y) = 2*y**3 + 3*y**2 - 3*y. What is x*a(v) - 2*m(v)? -v**3 Let c(x) = -x**3 + x - 1. Let a(i) = 2*i**3 + i**2 - 2*i + 3. Calculate 2*a(r) + 5*c(r). -r**3 + 2*r**2 + r + 1 Suppose 4*x - 11 = 5. Suppose -3*p = -16 + x. Let b(i) = -i**3 + 4*i**2 - 4*i + 1. Let t(k) = k**3 - 3*k**2 + 3*k - 1. Calculate p*t(f) + 3*b(f). f**3 - 1 Let j(b) = 3*b**2 + 14*b - 155. Let z(i) = i**2 + 5*i - 52. Calculate 6*j(u) - 17*z(u). u**2 - u - 46 Let p(o) be the first derivative of o**2/2 - 19. Let h(m) = -2*m + 1 - 2*m + 3*m + 5*m. Determine -h(l) + 6*p(l). 2*l - 1 Let f(n) = -31*n**3 + 13*n**2 + 13*n. Let d(u) = u**3 + 2. Let r(j) = -18*j**3 + 6*j**2 + 6*j - 6. Let c(t) = -3*d(t) - r(t). Calculate -13*c(x) - 6*f(x). -9*x**3 Let k(o) = 70*o - 4. Let n(z) = 71*z - 3. Determine -2*k(c) + 3*n(c). 73*c - 1 Let r(u) = u - 3. Let c(n) = -n + 9. Let y(f) = -7*f + 75. Let v(t) = 18*c(t) - 2*y(t). Let p(q) = -q**2 - 4*q + 2. Let k be p(-4). What is k*v(o) + 9*r(o)? o - 3 Let s(g) = 3*g**2 - 6*g - 11. Let u(v) = -v**3 - 2*v**2 + 5*v + 10. Give 2*s(y) + 3*u(y). -3*y**3 + 3*y + 8 Let b(l) = -20*l**3 - 4*l**2 + 5*l - 6. Let n(h) = h**3 - h**2 + h - 1. Calculate -b(t) + 4*n(t). 24*t**3 - t + 2 Let g(q) = 5*q**2 - 2*q. Let d(h) be the third derivative of h**5/12 - h**4/8 - h**2 + 125. Calculate 2*d(x) - 3*g(x). -5*x**2 Let f(z) = -z**2 - 1. Let w = 189 + -187. Suppose w*p = 6*p - 8, 0 = k - 2*p + 5. Let d(x) = -4*x**2 + x - 8. Let m be 0 + 5 + (-2)/(-2). Give k*d(h) + m*f(h). -2*h**2 - h + 2 Let c(u) = 2*u**3 - u**2. Let b(t) = 25*t**3 - 6*t**2 - t. Give b(f) - 4*c(f). 17*f**3 - 2*f**2 - f Let m(t) = t**2 - t - 1. Let s(z) = 33*z**3 - 5*z**2 + 5*z + 1. Determine 5*m(i) + s(i). 33*i**3 - 4 Let a(v) = 7*v + 113. Let q(i) = 13*i + 226. Determine 11*a(h) - 6*q(h). -h - 113 Let s(x) = 4*x**2 + 2*x - 7. Let i(b) = -5*b**2 - 2*b + 9. Calculate -2*i(o) - 3*s(o). -2*o**2 - 2*o + 3 Let h(y) = -7*y + 16. Let j(u) = -15*u + 35. Calculate -7*h(z) + 3*j(z). 4*z - 7 Let f be (8/(-10))/((-14)/35). Let j(d) = 41*d - 1 - 40*d - 1. Let i(w) = 2*w - 7. Calculate f*i(b) - 7*j(b). -3*b Suppose 16 = -5*u + 46. Suppose 0 = -0*y - 4*y + 4. Let c(r) = -r**3 - 1. Let m(f) = 0*f + 5*f**3 + 2*f**2 + 2 + 0*f + 4. Give u*c(k) + y*m(k). -k**3 + 2*k**2 Let c(j) = -2*j + 2. Let q(h) = 6*h**2 - 7*h + 9. Determine -3*c(l) + q(l). 6*l**2 - l + 3 Let r(z) = 4*z**2 + 3. Let q(o) be the second derivative of -o**4/4 - 3*o**2/2 - 25*o - 5. Calculate 3*q(w) + 2*r(w). -w**2 - 3 Let s(l) = 4*l + 2. Let p(o) = -53*o - 3. Determine p(q) + 2*s(q). -45*q + 1 Let g(t) = -16*t**2 + t. Let w(y) = y**2 + 8*y + 8. Let a(r) = -3*r**2 - 18*r - 18. Let o(f) = -4*a(f) - 9*w(f). Give 2*g(j) + 11*o(j). j**2 + 2*j Let b(a) = 16*a + 20. Let y(z) = 39*z + 40. Give 5*b(g) - 2*y(g). 2*g + 20 Let y(j) = 3*j**3 + 9*j**2 - 7*j + 2. Let s(p) = -3*p**3 - 7*p**2 + 9*p - 2. Calculate 3*s(q) + 4*y(q). 3*q**3 + 15*q**2 - q + 2 Let t be (2/(-3))/((-6)/9). Let n be (0 + 0 + -3)/t. Let f(u) = 6*u**3 + 3*u**2 - 2*u - 3. Let o(c) = 11*c**3 + 5*c**2 - 3*c - 5. Calculate n*o(i) + 5*f(i). -3*i**3 - i Let m(r) = -2*r**2 - r - 1. Let b(f) = -13*f**2 - 123*f - 8. What is b(u) - 6*m(u)? -u**2 - 117*u - 2 Let w(y) = -3*y**2 + 6*y - 1. Let v(l) = -l**2 + l. Let c(z) = 23*z - 110. Let i be c(5). Calculate i*v(q) - w(q). -2*q**2 - q + 1 Let r(a) = -3*a**2 - 3*a + 4. Let s(y) = 9*y + 57. Let k be s(-6). Let o(u) = -2*u**2 - u + 2. What is k*r(q) - 5*o(q)? q**2 - 4*q + 2 Let m(r) = 10*r + 175. Let p be m(-18). Let o(l) = l**2 + 6*l. Let h(v) = v**2 + 7*v. Determine p*h(z) + 6*o(z). z**2 + z Let p(j) = 26*j - 3. Let k(f) = -9*f + 1. Let c be 28/(-14) - (0 + -5 + 1). Give c*p(s) + 7*k(s). -11*s + 1 Let g(c) = -c**3 - 5*c + 5. Let v(i) = i + 2*i - 4*i + 1. Suppose 0 = -58*n + 54*n + 2*m - 4, -4*n = -4*m - 8. What is n*g(q) + 20*v(q)? 4*q**3 Let j(v) = -35*v**2 - 6*v + 22. Let u(x) = -8*x**2 - x + 5. What is 2*j(q) - 9*
{ "pile_set_name": "DM Mathematics" }
z) = 2*z. Calculate m(y(f)). -1646*f**2 - 4 Let k(t) = -67 + t + 67. Let w(o) = 11*o + 7. Let v(z) = -4*z - 2. Let i(q) = 7*v(q) + 2*w(q). Calculate k(i(b)). -6*b Let s be 86/18 + 4/18. Let a(b) = -3*b + s*b - 7*b + 4*b. Let u(c) = -5 + 5 + 2*c. Determine a(u(h)). -2*h Let h(z) = -31*z. Let y(c) = -c - 1. Let k(i) = 2*i + 1. Let u(p) = -k(p) - y(p). Give u(h(j)). 31*j Let x(a) = 451*a**2. Let m(u) = u. What is m(x(n))? 451*n**2 Let y(g) be the second derivative of -3*g**2/2 - 4*g. Let z(d) = 2*d - 24. Let b(j) = 24*y(j) - 3*z(j). Let t(i) = -2*i**2. What is t(b(n))? -72*n**2 Let l(h) = 0*h - h + 4*h. Let w(j) be the third derivative of j**4/12 - 4*j**2. Calculate l(w(c)). 6*c Let f(y) = -2*y**2. Let h(q) = 3*q + 0*q + 2*q**3 + 5*q**2 - 4 - q**3. Let c be h(-4). Let b(z) = z + c*z + 0*z. Calculate b(f(d)). -2*d**2 Let o(p) be the third derivative of -p**5/30 + 9*p**2. Let l(f) = -27*f**2. Determine o(l(d)). -1458*d**4 Let u(a) be the first derivative of 2*a**2 - 3. Let r(i) = i**2. Determine r(u(q)). 16*q**2 Let b(x) be the second derivative of x**6/90 - x**3/2 + 2*x. Let t(d) be the second derivative of b(d). Let g(q) = 4*q**2 + 3*q**2 - 5*q**2. Give g(t(w)). 32*w**4 Let f = -9 - -14. Let c(y) = 3*y + 5. Let p(h) = -2*h - 4. Let b(l) = f*p(l) + 4*c(l). Let t(x) = -x**2 + 3*x**2 - 4*x**2. Calculate b(t(k)). -4*k**2 Let b(v) be the first derivative of 3*v**2/2 - 2. Let a = -2 + 1. Let q(y) = -2*y. Let n(i) = -i. Let u(d) = a*q(d) + 3*n(d). Give u(b(f)). -3*f Let n(r) = -49*r**2. Let b(l) = 3*l. What is b(n(d))? -147*d**2 Let c(r) = r. Let i(s) = 5*s - 14*s + 8*s. What is i(c(j))? -j Let v(u) = -32*u**2. Let w(s) = 34*s**2. Calculate v(w(c)). -36992*c**4 Let i(o) = -4*o. Let n(r) = 45*r**2 - 82*r**2 + 47*r**2. Give n(i(c)). 160*c**2 Let l(j) = 64 - 92 - j**2 + 2*j**2. Let h(y) = 2*y**2. Determine h(l(n)). 2*n**4 - 112*n**2 + 1568 Let y(t) = 25*t**2. Let s(d) = 9*d**2. Give s(y(l)). 5625*l**4 Let l(i) = 2*i + 3. Let h(c) = -2*c - 4. Let u(s) = s**3 + 7*s**2 + 5*s - 10. Let g be u(-6). Let o(a) = g*l(a) - 3*h(a). Let m(x) = -2*x. What is o(m(v))? 4*v Let j(m) be the third derivative of 2*m**4/3 + 7*m**2. Let b(l) = -3*l**2. What is b(j(g))? -768*g**2 Let b(n) = 3*n + 6 - 4 - 2. Let j(y) = 5*y**2. What is b(j(p))? 15*p**2 Let i(v) = -10*v**2 - 12*v. Let c(q) = q**2 + q. Let w(z) = 12*c(z) + i(z). Let u(x) = -4*x**2. What is u(w(d))? -16*d**4 Let z(s) = -4*s**2. Suppose -5*d + d = 3*l - 21, 3*l - d - 6 = 0. Let h(u) = -4*u + 0*u + l*u + 3*u. Give h(z(a)). -8*a**2 Let m(f) = f**2 + 3*f**2 + 0*f**2 + 4*f**2. Let i(h) be the first derivative of h**3/3 + 4. What is m(i(y))? 8*y**4 Let g = -5 + 5. Let c(m) = 5*m - 4*m + g*m. Let w(q) = -q. Calculate c(w(b)). -b Let w(l) = 8*l. Let r(g) = -6*g. What is w(r(c))? -48*c Let m(x) = 5*x + 4. Suppose 0 = -3*b + b + 8. Suppose -5*f + 12 = -f. Let u(g) = -4*g - 3. Let c(r) = b*u(r) + f*m(r). Let y(l) = 3*l**2. Determine c(y(n)). -3*n**2 Let m(u) = -3*u**2. Let o(l) = 889*l**2. Determine m(o(t)). -2370963*t**4 Let s(a) be the first derivative of -a**2/2 + 1. Let x(c) = 7*c**2 - 8*c**2 + 2*c**2. Give s(x(j)). -j**2 Let w(n) = -11*n**2. Let m(s) = -4*s. What is w(m(f))? -176*f**2 Let t(j) = 4*j. Let i(f) be the third derivative of f**5/20 + 7*f**2. Determine t(i(r)). 12*r**2 Let x(g) = g - 2. Let t be x(7). Let a be -5*(2 - 12/t). Let l(o) = -2*o + a*o - 2*o**2. Let r(n) = -2*n**2. What is l(r(w))? -8*w**4 Let z(n) be the first derivative of -3*n**2/2 + 58. Let g(o) be the first derivative of o**3/3 + 1. What is z(g(f))? -3*f**2 Let w(v) = 2*v**2 + 4*v - 4*v. Let h(j) = j**2 + 3*j + 3. Let b(n) = n + 1. Let z(i) = -3*b(i) + h(i). Give z(w(y)). 4*y**4 Let v = 10 - 4. Let d(s) = -s + v*s - 6*s. Let t(o) = -3*o. What is d(t(a))? 3*a Let b(n) = n**2. Let g(w) = w**2 - w. Let m(q) = 4*q**2 - 2*q. Let o(d) = -8*g(d) + 4*m(d). What is o(b(x))? 8*x**4 Let v(z) be the third derivative of -z**4/24 - z**2. Let f(s) = 7*s. Calculate f(v(m)). -7*m Let q(t) = 5*t**2. Let j(h) = -h**2 - 1. Let b(z) = 7*z**2. Let m(p) = -b(p) - 4*j(p). Let k(x) = -21*x**2 + 27. Let w(l) = 4*k(l) - 27*m(l). What is w(q(o))? -75*o**4 Let f(y) = 2*y**2 - 1. Let t be f(3). Let g(b) be the first derivative of -3*b + 3*b - 2 + t*b**2 - 18*b**2. Let i(s) = -s. Determine g(i(z)). 2*z Let s(j) be the first derivative of 2 - 1 + 2 - j**2. Let u(w) = -2*w**2. Give s(u(y)). 4*y**2 Let t(x) = 10*x**2. Let v(c) = 6*c. Give t(v(p)). 360*p**2 Let p(x) = 327*x. Let q(j) = j**2. What is q(p(s))? 106929*s**2 Let u(i) = -7*i. Let h(m) = 2*m + 4. Let x(y) = 2*y + 5. Let n = 15 - 10. Let v(s) = n*h(s) - 4*x(s). What is u(v(q))? -14*q Let j(z) = -z**2. Let n(p) = -79*p - 1. Determine n(j(k)). 79*k**2 - 1 Let m(u) = 3*u**2 + 5*u + 5. Let d(p) = -4*p**2 - 8*p - 8. Let q(w) = -5*d(w) - 8*m(w). Let b(l) = -18*l. Determine b(q(a)). 72*a**2 Let c(h) = 4*h**2 - 3*h + 3. Let b = -5 - -7. Suppose b + 5 = -d. Let j(i) = 8*i**2 - 7*i + 7. Let y(f) = d*c(f) + 3*j(f). Let o(x) = x. Give y(o(t)). -4*t**2 Let x(y) = 2*y**2. Let o(g) = 10530*g. Give x(o(a)). 221761800*a**2 Suppose 0 = 2*v - 3*q - 7, -4*v + 15 = q - 6. Let t(h) = -h - h + v*h. Let n(i) = -2*i. Calculate n(t(l)). -6*l Let l(h) = -5*h**2 + 8. Let z(w) = 2*w**2 - 3. Let j(v) = 3*l(v) + 8*z(v). Let n(m) = 3*m**2. Give n(j(r)). 3*r**4 Let d(n) = n. Let j = -2 + -4. Let z(i) = -2*i. Let b(s) = j*d(s) + 2*z(s). Let q(m) = -2*m**2. Calculate q(b(g)). -200*g**2 Let k(v) = 2*v + 0*v + 0*v + 0*v. Let f(n) be the third derivative of n**4/2 - n**2. Give k(f(y)). 24*y Let o(k) = -18*k**2. Let n(t) be the second derivative of t**3/3 + 22*t. What is o(n(s))? -72*s**2 Let j be -9*((-1)/(-3) - 1). Let p(i) = -4*i - j*i + 8*i. Let t(q) = 2*q. What is t(p(o))? -4*o Let g(s) = 7*s. Let y(p) be the first derivative of p**4/8 - 5*p**2 - 1. Let a(n) be the second derivative of y(n). What is g(a(u))? 21*u Let r(c) = -2*c**2. Let s(u) = 4329*u**2. Give s(r(m)). 17316*m**4 Let b(u) = -2*u. Suppose -4*g + 14 = 3*p, -p + 0*p - 22 = -4*g. Let c(l) = 4*l. Let w(j) = p*c(j) - 5*b(j). Let x(s) = -s + 3*s**2 + s. What is w(x(d))? 6*d**2 Let j(u) = u + 0*u - 2*u. Let t(v) = 8*v. Suppose -3*i = -3*z + 21, 0 = -3*i - z - 21. Let g(y) = -15*y. Let n(f) = i*t(f) - 4*g(f). Give n(j(q)). -4*q Let z(m) be the first derivative of m**6/180 + m**3/3 - 2. Let q(h) be the third derivative of z(h). Let l(s) = 0*s**2 + s**2 - 3*s**2. What is q(l(j))? 8*j**4 Let c(r) = -3*r. Let d(b) = -3*b + 92. Give c(d(s)). 9*s - 276 Let r(n) be the third derivative of -n**5/30 + 22*n**2. Let h(v) = -34*v**2. Determine h(r(c)). -136*c**4 Let h(o) = 3*o**2 + 4*o + 4. Let d(p) = 5*p**2 + 7*p + 7. Let a(v) = -4*d(v) + 7*h(v). Suppose 3*q - 9 = -3. Let f(m) = 0*m**2 + m**q + m**2. Give a(f(i)). 4*i**4 Let t(w) = 15*w. Let u(l) = -l. Let z(k) = 6*k. Let h(i) = -14*u(i) - 2*z(i). Give h(t(n)). 30*n Let m(a) = a - 48. Let k(q) = 2*q. What is k(m(y))? 2*y - 96 Let a(s) = -5177*s**2. Let g(p) = p**2. What is a(g(o))? -5177*o**4 Let k(p) = -2*p. Let f(h) = -h + 0 + 0. Determine k(f(d)). 2*d Let u(m) = -4*m**2. Let l(p) be the first derivative of p**3/3 - 2. What is u(l(q))? -4*q**4 Let y(o) = -2*o**2. Let f(x) = -21*x**2 + 4*x. Let p(n) = -189*n**2 + 35*n. Let j(d) = 35*f(d) - 4*p(d). What is y(j(u))? -882*u**4 Let o(t) = -t - 1. Let m(r) = -12*r - 11. Let i(y) = 2*m(y) - 22*o(y). Let s(a) = -1 + 1 + 23*a**2 - 25*a**2. Calculate s(i(g)). -8*g**2 Let v(a) = a + 655. Let r(m) = -m. Calculate r(v(l)). -l - 655 Let l(t) = -6*t + 5. Let q(u) = -u**2. Determine l(q(d)). 6*d**2 + 5 Let f(r) = -5*r**2 - 11*r**2 + 22*r**2 - 2*r**2. Let g(u) = -16*u**2. Calculate f(g(z)). 1024*z**4 Let o = 39 + -25. Let s = o + -10. Let m(i) = s + i - 4. Let z(f) = f. Give m(z(t)). t Let y(j) = 36*j. Let p(s) = 5*s. What is p(y(a))? 180*a Let o(w) = 6*w**2 + 2*w - w**2 - 2*w. Let i(y) = 3*y. Let q(f) = -2*f**2 + f. Let l be q(1). Let k(p) = p. Let u(t) = l*i(t) + 2*k(t). Determine o(u(s)). 5*s**2 Suppose -2*z = 2*z - 16. Let l(y) = 4*y - 3*y + z*y + 0*y. Let g(t) be the second derivative of t**3/6 + t. Calculate l(g(v)). 5*v Let x(s) be the third derivative of s**5/30 + s**2. Let a(f) be the first derivative of f**3 - 5. What is a(x(k))? 12*k**4 Let m(v) = -4 + 4 + 4*v. Let o(c) be the second derivative of 0*c**3 +
{ "pile_set_name": "DM Mathematics" }
he units digit of u(b)? 6 What is the hundreds digit of 476/(-102)*(-936)/14? 3 Let p = 3 + -1. Suppose -p*l = l - 6. Suppose 3*w - 2*b + 3 - 10 = 0, 4*w = -l*b. What is the units digit of w? 1 Suppose 189 = 2*g - 3*w, 5*g - 6*w - 477 = -3*w. What is the tens digit of g? 9 Suppose 7*a + 154 - 434 = 0. What is the units digit of a? 0 Let b(f) = f. Let g(o) = 6*o + 1. Let y(d) = -2*b(d) + g(d). Let h = 6 - 4. What is the units digit of y(h)? 9 Let y = -28 + 84. What is the units digit of y/10 + 12/30? 6 Let l = 270 + -188. What is the units digit of l? 2 Let q be (4/6)/((-3)/(-18)). Suppose -2*f + 49 = 2*x - 1, -q*f = 8. What is the tens digit of x? 2 Let l = -4 - -2. Let o = l + 4. What is the tens digit of (-135)/(-10) + o/(-4)? 1 Let u = 34 - 19. Let s be 18/u*(-20)/6. What is the units digit of 0 + 1 + s/(-4)? 2 Let b = 30 + -24. Let w = 4 + 0. Suppose b = -h + w*k, -5*h - k + 21 = -12. What is the units digit of h? 6 Suppose 0*k + k + 2 = 0. What is the units digit of 27/(-6)*(0 + k)? 9 Let i = 12 + 16. What is the units digit of i? 8 Suppose -3*q = -53 - 313. What is the tens digit of q? 2 Suppose x - 5*x = -100. Suppose -5*v = -x - 10. What is the units digit of v? 7 Let g = -163 - -332. What is the hundreds digit of g? 1 Suppose 2*p = -v - 7, -4*p - 11 - 8 = -3*v. Suppose 3*c - 20 = v. What is the units digit of c? 7 Let t(x) = 2*x**2 - 9*x + 3. Let s be t(6). Suppose -2*z + 23 + s = 0. Suppose 2*b = 4*n + z, 3*b + 4*n - 33 = -0*b. What is the units digit of b? 1 Let v(d) = 68*d - 2. What is the units digit of v(1)? 6 Suppose -z - 2*p = 20, 5*z - 6*z - 5*p - 5 = 0. Let q be (z/(-9))/((-2)/(-6)). What is the units digit of 3*q/3 - 2? 8 Let p(n) = -71*n - 7. What is the units digit of p(-2)? 5 Suppose -4*h - 2*c + 130 = 0, -1 = 3*c + 2. Suppose -4*o = -81 + h. What is the units digit of o? 2 Suppose d + 0*d = 268. What is the tens digit of 20/90 - d/(-9)? 3 Let n = 7 - 18. Let u(a) = -a**3 + 4*a**2 - 7. Let d be u(3). Let g = d - n. What is the tens digit of g? 1 What is the tens digit of 71 - (-5 - 1/(-1))? 7 Let g(a) = a + 3. Let z be g(-5). Let k(l) = -8*l - 3. Let h be k(z). Let m = h + -8. What is the units digit of m? 5 Suppose 0 = -4*y + 8, t + 2*y - 342 = -48. What is the units digit of t? 0 What is the tens digit of ((-2)/(-8) + 2367/(-12))/(-1)? 9 Suppose -3*l = -i - 71, l + 2*i = 4*i + 32. What is the units digit of l? 2 Let p(j) be the first derivative of -j**3/3 - 7*j**2/2 + 3*j - 2. Let l be p(-7). Suppose -3*n = l*x - 0 - 21, 5*n - 15 = -x. What is the units digit of n? 2 Suppose -5*n - 20 = f, 5*n - 5*f + 2*f = -40. Let u(w) = -w - 5. Let v be u(n). Suppose 0 = -2*z + 10 - v. What is the units digit of z? 5 Suppose -m + 181 + 74 = 0. What is the tens digit of m? 5 What is the units digit of (5 + 44/(-8))/((-1)/62)? 1 Let x be 16/(-40) + 557/5. Suppose 10*p - x = 7*p. What is the units digit of p? 7 Suppose -4*b = -42 + 6. Let s(l) = l**2 - 6*l + 2. Let h be s(4). Let t = h + b. What is the units digit of t? 3 What is the tens digit of (0 - -1)/1 + 29? 3 Let d = 201 - 141. What is the units digit of d? 0 Suppose 2*l = 4 + 4. Suppose 0 = -g - l + 21. Suppose g = c - 0. What is the units digit of c? 7 Let x = 8 + 15. Let y = 40 - x. What is the tens digit of y? 1 Let w(z) = -6*z + 30. What is the tens digit of w(-9)? 8 Let k be 0/(-4*(-2)/(-4)). Let m be (-1)/(-1) + k + 1. Suppose 10*f - 5*f - 10 = -3*w, -25 = -m*f + 3*w. What is the units digit of f? 5 Let y be 30/4*64/(-20). Let c be (y/(-42))/((-4)/(-14)). Let t(d) = 3*d**2 + 2. What is the units digit of t(c)? 4 Suppose 27 = j - 0*j. Let d be (-493)/9 - 6/j. Let u = -35 - d. What is the tens digit of u? 2 Suppose -9 = -0*t - t. What is the units digit of t? 9 Let p(d) = d - 5. Let n be p(5). Suppose 4*s - 7*s + 6 = n. What is the units digit of s? 2 Suppose a - 4*a + 6 = 0. Suppose 4*c = -3*u + 5*c + 81, u - a*c = 22. What is the units digit of u? 8 Let x be ((-1)/1)/(4/8). Let c be (0 + 0)/x + -3. Let z(y) = 3*y**2 + 2*y - 4. What is the tens digit of z(c)? 1 Suppose -x = 5*j + 11, -2*j + 5*x - 26 = -0*x. Let c(b) = b**3 + 5*b**2 + 2*b - 4. What is the units digit of c(j)? 8 Let d = -7 - -8. Let p be d + -1 + 60/3. Let h = -14 + p. What is the units digit of h? 6 Let q(n) = 4*n + 2. Let m be q(-3). Let y = m - -17. What is the units digit of y? 7 Suppose 0*y = -4*y + 120. What is the tens digit of y? 3 What is the tens digit of (20/(-7))/((-6)/42)? 2 Let q(n) = -3*n - 1. Let r = -14 + 9. What is the units digit of q(r)? 4 Let l = -31 - -22. Let q(y) = -y - 7. What is the units digit of q(l)? 2 Suppose 2*m = i + 6, 6*m + 6 = 4*m - 5*i. What is the tens digit of (-18)/(-1*3/m)? 1 Suppose 3*p - 4*s - 31 = 0, -5*p + 3 = -s - 26. Suppose -p*f = -3*k - 90, -f + 0*f + 18 = 4*k. What is the units digit of f? 8 Let u = -2 - -7. What is the units digit of u? 5 Suppose -4*w + 3*x = -68, 3*w + 5*x - 48 = 3. What is the tens digit of w? 1 Suppose 200 + 101 = 5*f + h, 4*f + h - 240 = 0. What is the units digit of f? 1 Let u be (-6)/(-2)*2/3. Let a = 0 + u. What is the units digit of -2 + ((-22)/(-1))/a? 9 What is the tens digit of (1/2)/(3/1356)? 2 Suppose 5*f - 6*f + 2 = 0. Suppose -16 = j - f*j. What is the units digit of j? 6 Let h(f) = f**2 + 6*f + 1. Let y be h(-7). Let d = 13 + y. What is the units digit of d? 1 Suppose -4*m + 0*m - 5*q + 77 = 0, -5*m = q - 70. What is the units digit of m? 3 Let r = -11 + 18. What is the units digit of (-11 + r)*(-15)/4? 5 Let z = -17 - -22. Suppose -z*s + 44 = 4*r, -6*r = -2*r + 16. What is the tens digit of s? 1 Suppose 6 - 2 = -2*y, 0 = -w - y - 2. Suppose -5*b + w*i + 33 = -i, -3*b + 30 = -4*i. What is the units digit of b? 6 Let f(b) = -b**3 - 10*b**2 - 7*b + 12. Let a be f(-9). Let y(w) = w**2 + 3*w - 4. Let o be y(a). Let m = o - 7. What is the units digit of m? 7 Suppose 29*q - 240 = 23*q. What is the units digit of q? 0 Let q be 1*(-9 - (3 - 0)). What is the tens digit of 9 + q + (-1 - -24)? 2 Let t(u) = -u + 12. Let z be t(11). What is the units digit of z - ((2 - 5) + -3)? 7 Let i be 8/36 - (-156)/27. Suppose i = -0*v - 2*v. What is the tens digit of 71/5 + v/15? 1 Let w(j) = -j**3 - 8*j**2 + 9*j + 6. Let r be w(-9). Let f be ((-2)/(-6))/(2/r). What is the tens digit of (-5)/(3/6 - f)? 1 Suppose 3*n + 19 = -5*w, 4*w + 16 = -n - n. Let r(m) = 5*m + 1. Let g(z) = 11*z + 3. Let f(s) = n*g(s) - 5*r(s). What is the tens digit of f(-4)? 1 Let j = 51 + -42. What is the units digit of j? 9 Let r = 1 - -1. Suppose 5*u + r*i - 62 = 0, -2*u - 2*u = 3*i - 51. What is the units digit of ((-44)/u)/(1/(-3))? 1 Let m = 10 - 9. What is the units digit of 2/(m/4*2)? 4 Let i be 2 + -2 + 5 - 2. Suppose i*p = -0*p. Suppose p = -o + 3*o - 2. What is the units digit of o? 1 Let j be (-3)/(-2) - (-49)/14. Suppose 2*a = f, j*a + 1 - 2 = 2*f. What is the units digit of a? 1 Let v(u) = 3*u - 5. Let i(y) = -y**3 - y**2 - 4. Let p be i(0). Let k = 0 - p. What is the units digit of v(k)? 7 Let d(s) = 7*s**3 - 3*s**2 - 2*s + 4. What is the units digit of d(2)? 4 Let n = -71 - -268. What is the units digit of n? 7 Let w be (-1 + 4 - 2) + 13. Let o = 22 - w. What is the units digit of o? 8 Let g(m) = -2 + 0*m**2 + 9*m**2 + 5 - m**3 - 2. Let v be g(9). Let u(n) = -n**2 + 3*n - 1. What is the units digit of u(v)? 1 What is the units digit of -2*(-31 - (-1 + -1))? 8 Let t be (-1)/((-3 - -2)/3). Suppose -5*b - 6 = 4. What is the units digit of (1 - b)/t - -4? 5 Let b(f) = 28*f**2 - f + 3. What is the units digit of b(2)? 3 Let i = -48 + 92. What is the tens digit of i? 4 Let o(k) = -4*k + 9. Let a(p) = -10*p + 22. Suppose -d - d = 10. Let z(t) = d*a(t) + 12*o(t). What is the units digit of z(4)? 6 Let s be (1 - -1)/(1 + 1). Let k = 3 + s. Suppose 3*o - k*o + 3 = 0. What is the units digit of o? 3 Let m = -65 + 111. What is the units digit of m? 6 Let r(t) = -1 - 8*t - t**3 + 8*t**3 - 6*t**3 + 9 - 8*t**2. What is the tens digit of r(9)? 1 Let o = 36 - -13. What is the tens digit of o? 4 Let q = 146 - 87. What is the units digit of q? 9 Let l = 44 + -15. What is the units digit of l? 9 Let w(d) = d**2 - 5*d + 12. Let b = -12 - -21. What is the tens digit of w(b)? 4 Suppose 6*k + p - 137 = 2*k, 4*p - 185 = -5*k. What is the units digit of k? 3 Let d = 11 + 7. What is t
{ "pile_set_name": "DM Mathematics" }
40 and 39034615? 9935 Calculate the greatest common divisor of 832 and 149695. 13 What is the greatest common factor of 22725252 and 2376? 1188 What is the highest common factor of 408895 and 515? 5 What is the greatest common divisor of 24444 and 186340? 28 What is the greatest common divisor of 2076642 and 93654? 774 Calculate the greatest common divisor of 685107 and 171. 9 Calculate the highest common divisor of 950 and 4512. 2 Calculate the greatest common factor of 984432 and 480. 48 Calculate the highest common divisor of 30831176 and 10904. 232 Calculate the greatest common factor of 9042241 and 267683. 4537 What is the greatest common factor of 74216736 and 792? 792 What is the greatest common divisor of 160 and 56166630? 10 Calculate the greatest common factor of 188157 and 9728. 19 What is the greatest common divisor of 11309 and 139793? 43 Calculate the greatest common divisor of 69322698 and 730. 146 What is the highest common factor of 115 and 90040860? 115 What is the highest common divisor of 78324 and 6016182? 642 What is the highest common factor of 1408 and 22606034? 22 What is the greatest common factor of 9580 and 156531452? 1916 What is the greatest common factor of 1071 and 233076681? 153 What is the highest common factor of 1928227 and 217? 7 What is the greatest common divisor of 104385 and 104805? 15 What is the highest common divisor of 1016228 and 37284? 956 What is the greatest common factor of 854 and 7711256? 14 What is the highest common divisor of 176 and 19029328? 16 What is the greatest common divisor of 211217812 and 4? 4 What is the greatest common divisor of 423 and 33239340? 423 What is the greatest common factor of 3885 and 12734475? 555 What is the highest common factor of 7801309 and 2497? 227 Calculate the greatest common divisor of 69 and 4066561. 23 What is the highest common divisor of 6346 and 655652? 38 What is the highest common divisor of 71331 and 46965? 93 Calculate the greatest common divisor of 30940 and 908700. 260 Calculate the greatest common factor of 21896 and 32249680. 3128 What is the greatest common factor of 371180 and 3330? 10 What is the greatest common divisor of 324600957 and 239? 239 Calculate the greatest common factor of 156 and 1694226. 6 Calculate the highest common divisor of 13035471 and 5162. 29 Calculate the greatest common divisor of 1063 and 86914069. 1063 Calculate the greatest common divisor of 367392 and 29928. 1032 Calculate the highest common divisor of 59328 and 210624. 192 Calculate the greatest common factor of 6230496 and 1248. 96 Calculate the highest common divisor of 4428 and 201900. 12 What is the highest common factor of 85408 and 442? 34 Calculate the greatest common factor of 49234 and 282498. 478 What is the greatest common factor of 1475595 and 225? 45 Calculate the highest common factor of 8105758 and 46. 2 Calculate the highest common factor of 8267 and 107863. 7 What is the highest common factor of 192396149 and 1561? 223 What is the highest common divisor of 9690 and 128280? 30 What is the highest common divisor of 480238 and 9794? 166 Calculate the highest common divisor of 56125 and 16613. 449 What is the highest common divisor of 59524 and 48998604? 2588 What is the greatest common divisor of 85158080 and 64? 64 What is the greatest common factor of 221 and 9049066? 221 Calculate the greatest common factor of 872 and 119947960. 872 What is the highest common factor of 4375156 and 468? 4 What is the greatest common divisor of 316 and 38951029? 79 What is the highest common factor of 38 and 8912558? 38 Calculate the highest common factor of 51450 and 94. 2 What is the greatest common factor of 207380825 and 489? 163 Calculate the greatest common divisor of 11599336 and 774. 86 Calculate the highest common factor of 1954638 and 1386. 126 What is the highest common divisor of 24792 and 125976? 24 Calculate the greatest common factor of 128463808 and 16566. 5522 What is the highest common divisor of 2770678 and 11462? 1042 What is the greatest common factor of 6297580 and 1000? 20 Calculate the highest common factor of 204 and 322718174. 34 Calculate the highest common divisor of 16688240 and 4044. 1348 What is the highest common factor of 414 and 3060846? 18 Calculate the highest common factor of 456 and 770042754. 114 Calculate the greatest common divisor of 204292 and 68442. 22 Calculate the highest common divisor of 12 and 9542310. 6 Calculate the greatest common factor of 28101 and 1190073. 87 What is the greatest common factor of 176379789 and 921? 921 What is the greatest common factor of 125260274 and 9424? 1178 Calculate the greatest common factor of 110134829 and 9028. 2257 Calculate the highest common divisor of 35880 and 181880. 40 Calculate the greatest common divisor of 4337283 and 2329. 137 Calculate the highest common divisor of 31161448 and 248. 248 Calculate the highest common factor of 7024224 and 1824. 1824 Calculate the highest common divisor of 51911486 and 8162. 1166 Calculate the greatest common divisor of 22113610 and 688. 86 Calculate the greatest common factor of 19731033 and 38893. 2047 What is the highest common factor of 2605375 and 197125? 2375 What is the highest common factor of 8720 and 2190464? 1744 Calculate the greatest common divisor of 112 and 22393014. 14 What is the highest common divisor of 2231560 and 2256? 376 What is the greatest common divisor of 2275799820 and 1865? 1865 What is the highest common divisor of 1025509352 and 1582? 1582 Calculate the greatest common factor of 5208 and 152153580. 372 What is the greatest common factor of 18165061 and 255? 17 Calculate the highest common factor of 166470184 and 12256. 3064 Calculate the greatest common divisor of 15 and 1992891. 3 What is the highest common divisor of 5000 and 119576? 8 What is the highest common divisor of 40288 and 9961? 1 Calculate the highest common factor of 22086 and 14583304. 818 What is the greatest common divisor of 76436572 and 22471? 977 What is the greatest common divisor of 14314 and 594452? 842 What is the highest common factor of 1024212 and 14481012? 7476 Calculate the highest common divisor of 147 and 99453. 3 What is the highest common divisor of 2662274 and 84332? 1454 Calculate the greatest common divisor of 2682 and 835902. 18 What is the greatest common divisor of 190717917 and 3991? 3991 Calculate the greatest common factor of 56 and 14026796. 28 Calculate the highest common divisor of 1184342 and 104020. 1486 Calculate the greatest common factor of 80925345 and 45. 45 What is the highest common divisor of 3080 and 4448840? 440 Calculate the highest common factor of 132858 and 47641. 671 What is the highest common factor of 580 and 1743160? 20 What is the highest common divisor of 30 and 4113405540? 30 What is the highest common factor of 416 and 9100624? 208 Calculate the greatest common factor of 210560 and 61040. 560 Calculate the greatest common factor of 66 and 1231432554. 66 What is the highest common divisor of 337916338 and 5846? 5846 Calculate the greatest common factor of 19396690 and 30. 10 Calculate the highest common factor of 2520 and 1683864. 504 What is the greatest common divisor of 159284806 and 4111? 4111 Calculate the highest common divisor of 2111835 and 2915. 55 What is the greatest common factor of 323326 and 2050? 82 What is the greatest common divisor of 9253454 and 16807? 2401 What is the highest common divisor of 3072 and 9326848? 256 Calculate the highest common divisor of 177 and 2548876287. 177 What is the highest common factor of 9184 and 1061648? 112 What is the highest common divisor of 28424 and 216828931? 3553 Calculate the greatest common divisor of 2714 and 4680706. 118 What is the highest common factor of 11844 and 1184796? 36 What is the highest common divisor of 27 and 1186695? 9 What is the highest common divisor of 59090 and 49495? 95 What is the greatest common factor of 98944 and 20772056? 6184 What is the greatest common divisor of 96080667 and 3? 3 Calculate the greatest common divisor of 1299 and 2445. 3 Calculate the highest common factor of 5819017 and 1072. 67 What is the greatest common divisor of 137262 and 138? 6 Calculate the highest common divisor of 57888 a
{ "pile_set_name": "DM Mathematics" }
-7 Let z(p) = -5*p**2 + 48*p - 5. Calculate z(10). -25 Let o(m) = m**3 - 62*m**2 - 16*m + 547. Give o(62). -445 Let m(a) = -139*a**2 - 420*a - 3. Calculate m(-3). 6 Let d(b) = 4*b**2 - 69*b + 20. Calculate d(19). 153 Let n(f) = 22*f**3 + 57*f**2 - 114*f + 2. Give n(2). 178 Let x(j) = -3*j**2 - 134*j - 820. Give x(-7). -29 Let v(h) = 56*h + 2633. Give v(-47). 1 Let g(c) = 14*c + 6. Give g(-36). -498 Let g(v) = v**3 - 17*v**2 - 3*v + 25. Determine g(18). 295 Let f(p) = 3*p**3 - 4*p**2 + 1. Determine f(-2). -39 Let z(m) = m**3 + m**2 - 38. Give z(-4). -86 Let i(m) = -m**2 - 88*m + 461. Determine i(5). -4 Let w(u) = -56*u + 327. What is w(6)? -9 Let g(d) = -480*d + 865. What is g(2)? -95 Let r(s) = 953*s + 3766. Determine r(-4). -46 Let p(l) = 426*l**2 - 2557*l + 13. Calculate p(6). 7 Let n(q) = 3*q**3 - 5*q**2 + 5*q + 13. Give n(-2). -41 Let y(s) = -339*s - 2067. Determine y(-6). -33 Let p(k) = -41*k - 376. Calculate p(-10). 34 Let i(b) = -40*b + 325. Determine i(8). 5 Let n(u) = 493*u + 28104. Calculate n(-57). 3 Let r(m) = -172*m**2 - 167*m. Determine r(-1). -5 Let x(p) = -p**3 - 19*p**2 - 36*p - 16. Determine x(-17). 18 Let o(b) = b**3 - 7*b**2 - 27*b + 119. Calculate o(8). -33 Let p(i) = -1758*i - 12310. What is p(-7)? -4 Let c(k) = -3*k + 238. Determine c(77). 7 Let g(b) = -13*b + 762. What is g(57)? 21 Let f(j) = -2*j**2 - 49*j - 104. Determine f(-22). 6 Let c(a) = -54*a - 2015. What is c(-38)? 37 Let v(q) = 7*q**3 - 10*q**2 - 25*q + 78. Give v(3). 102 Let q(u) = -10*u + 132. What is q(12)? 12 Let q(f) = f**3 - 16*f**2 + 12*f - 19. Calculate q(15). -64 Let d(h) = h**3 + 4*h**2 - 5*h + 1. What is d(5)? 201 Let d(v) = 220*v - 12327. Calculate d(56). -7 Let h(c) = -103*c - 1539. Calculate h(-15). 6 Let v(j) = 4744*j - 4732. Give v(1). 12 Let m(w) = -w**3 + 4*w**2 + 64*w - 254. What is m(5)? 41 Let m(r) = r**3 - 18*r**2 + 60*r + 72. What is m(13)? 7 Let n(j) = -j**2 + 6*j - 7. Determine n(4). 1 Let q(v) = v**2 + 187*v + 7491. Give q(-59). -61 Let n(d) = d**3 + 159*d**2 + 6237*d + 502. What is n(-70)? 12 Let q(l) = 2*l**3 + 23*l**2 + 33*l + 8. Calculate q(-10). -22 Let f(i) = -334*i - 8026. Determine f(-24). -10 Let f(t) = t**3 - 131*t**2 - 531*t - 1216. What is f(135)? -1 Let o(w) = 386*w - 42854. What is o(111)? -8 Let u(q) = -2*q**2 + q + 16. Give u(-3). -5 Let m(o) = o**2 - 197*o - 1191. Calculate m(-6). 27 Let b(g) = -3622*g + 18112. What is b(5)? 2 Let g(l) = -2*l**3 + 47*l**2 - 42*l - 508. Determine g(22). 20 Let i(j) = -j**2 + 49*j - 239. Give i(43). 19 Let p(h) = -3*h**3 + 122*h**2 + 23*h + 745. Give p(41). 7 Let m(g) = -921*g - 8. What is m(0)? -8 Let f(q) = 95*q - 2834. What is f(31)? 111 Let s(f) = f**3 - 5*f**2 + f - 15. What is s(5)? -10 Let h(v) = -111*v + 791. Give h(7). 14 Let r(v) = -v**3 - 119*v**2 + 234*v - 979. Determine r(-121). -11 Let o(z) = 233*z - 939. What is o(4)? -7 Let v(m) = -6*m**3 + m**2 - 15*m + 13. Give v(1). -7 Let f(w) = -w**3 + 7*w**2 + 20*w - 8. What is f(10)? -108 Let m(p) = -77*p - 61. What is m(-1)? 16 Let r(d) = 3*d**3 - 31*d**2 - 22*d - 8. Determine r(11). -8 Let v(n) = -3*n**3 + 71*n**2 + 26*n - 119. Give v(24). -71 Let c(t) = 67*t + 3022. What is c(-45)? 7 Let s(c) = 5*c**3 - 2*c**2 - 30*c + 41. Give s(2). 13 Let v(r) = 7*r**2 + 40*r - 10. Give v(-6). 2 Let r(h) = -2*h**3 - 31*h**2 - 70*h + 43. Calculate r(-11). -276 Let x(w) = 38*w**2 - 147*w - 10. Calculate x(4). 10 Let c(k) = -54*k**3 - 481*k**2 + 2002*k - 27. Determine c(-12). -3 Let f(s) = -13*s**2 - 29*s + 160. What is f(-9)? -632 Let l(i) = 10*i**2 + 115*i + 47. What is l(-11)? -8 Let f(u) = -u**3 - u**2 + 106*u + 159. Determine f(-10). -1 Let k(p) = 5*p**3 + 24*p**2 - 43*p - 37. What is k(-6)? 5 Let z(u) = -76*u**3 + 11*u - 12. Determine z(1). -77 Let s(b) = 6*b**3 - 4*b**2 - 10*b - 18. Calculate s(-3). -186 Let g(q) = q**2 - 1651*q + 8230. Calculate g(5). 0 Let k(s) = 475*s + 7610. Give k(-16). 10 Let z(b) = b**2 + 39*b + 64. Give z(-16). -304 Let r(j) = 2*j**2 - 92*j + 318. Determine r(43). 60 Let g(z) = 1036*z + 2092. Give g(-2). 20 Let r(c) = -4*c**2 - 150*c - 4. Determine r(0). -4 Let h(f) = f**2 + 27*f + 149. Calculate h(-28). 177 Let l(f) = 4*f**2 - 184*f - 229. Calculate l(47). -41 Let f(z) = -779*z + 21788. Give f(28). -24 Let l(f) = -2*f**2 + 37*f + 25. What is l(20)? -35 Let r(x) = -x**3 + 4*x**2 - 13*x + 5. Give r(2). -13 Let j(v) = -227*v**2 - 3*v. Determine j(-1). -224 Let f(g) = -3*g**2 + 22*g + 56. Give f(17). -437 Let t(o) = 922*o + 6339. Give t(-7). -115 Let q(i) = 757*i - 1543. Determine q(2). -29 Let j(a) = 7*a**2 + 172*a - 2053. Determine j(9). 62 Let z(k) = -k**3 - 52*k**2 - 4*k - 99. Calculate z(-52). 109 Let k(u) = 8543*u - 25620. Determine k(3). 9 Let b(x) = -27*x**2 + 112*x + 118. Determine b(-1). -21 Let x(q) = -215*q - 104. Give x(-3). 541 Let k(t) = 24*t**2 - 47*t + 48. What is k(1)? 25 Let c(m) = -3*m**2 - 89*m - 257. Determine c(-3). -17 Let n(r) = 416*r + 7487. Determine n(-18). -1 Let y(x) = -x**2 - 16*x - 33. Calculate y(-16). -33 Let k(x) = 2*x**2 + 29*x + 51. Determine k(-12). -9 Let k(r) = -r**3 + 20*r**2 + 7*r - 35. Determine k(21). -329 Let z(j) = 51*j - 152. Determine z(-10). -662 Let z(u) = -10034*u - 40133. What is z(-4)? 3 Let u(p) = -2*p**2 - 18*p + 147. Give u(6). -33 Let x(v) = -562*v - 3942. Give x(-7). -8 Let q(c) = -6*c**2 - 43*c - 125. Determine q(-3). -50 Let w(h) = -5*h**3 - 4*h**2 + 2*h - 6. Determine w(-2). 14 Let z(j) = 6*j**2 + 19*j - 156. Calculate z(6). 174 Let y(s) = s**2 + 61*s + 275. Give y(-45). -445 Let j(w) = 58*w**3 + 14*w**2 - 34*w + 5. Give j(2). 457 Let v(h) = 2*h**2 + 12*h + 20. Determine v(-2). 4 Let y(m) = -37*m - 53. Determine y(-9). 280 Let q(a) = 5*a**2 - 86*a - 562. Calculate q(22). -34 Let j(l) = l**2 - 31*l - 51. Calculate j(31). -51 Let k(w) = 134*w + 1479. Determine k(-11). 5 Let i(j) = 58*j**3 - j**2 + j - 5. Calculate i(2). 457 Let f(i) = -i**3 + 224*i**2 - 2338*i - 60. Determine f(11). -5 Let n(f) = -441*f - 2616. What is n(-6)? 30 Let k(b) = -187*b - 5328. What is k(-29)? 95 Let k(t) = t**2 - 84*t - 6521. Calculate k(133). -4 Let m(j) = -5*j**2 + 2387*j + 12065. Give m(-5). 5 Let d(c) = 4*c**3 - 25*c**2 + 45*c - 229. What is d(6)? 5 Let n(d) = -2*d**2 + 89*d + 428. Determine n(49). -13 Let x(q) = 23*q**2 - 2267*q - 3302. Give x(100). -2 Let o(g) = g**3 - 11*g**2 - 10*g + 29. What is o(12)? 53 Let v(y) = 2*y**2 + 30*y - 128. Give v(-19). 24 Let u(r) = -1289*r - 2535. Give u(-2). 43 Let o(w) = w**3 - 14*w**2 + 15*w - 8. Give o(10). -258 Let c(j) = 47*j**3 - 140*j**2 + 4*j - 7. Give c(3). 14 Let u(c) = 159*c + 7452. Determine u(-47). -21 Let n(r) = 710*r - 3557. Determine n(5). -7 Let q(z) = 997*z + 18991. Give q(-19). 48 Let m(u) = -492*u - 3937. What is m(-8)? -1 Let y(a) = -1416*a + 11329. Calculate y(8). 1 Let m(f) = -8*f**2 + 252*f - 131. Calculate m(31). -7 Let d(g) = g**3 - 100*g**2 - 205*g + 375. Give d(102). 273 Let n(u) = 6*u**2 + 204*u + 1590. Give n(-12). 6 Let b(r) = -16*r**3 + 3*r**2 - r + 33. What is b(0)? 33 Let h(v) = -359*v - 12563. What is h(-35)? 2 Let h(c) = -2*c + 39. What is h(-3)? 45 Let n(p) = 3*p**2 + 76*p + 47. Determine n(-26). 99 Let p(l) = l**3 - 9*l**2 - 20*l - 26. What is p(11)? -4 Let p(q) = 2*q**3 + 27*q**2 + 22*q + 52. Calculate p(-8). 580 Let b(m) = 305*m + 1541. Determine b(-5). 16 Let w(s) = s**3 + 3*s**2 - 2*s + 6. What is w(-4)? -2 Let c(o) = -o**3 + 66*o**2 + 281*o - 139. Calculate c(70). -69 Let f(l) = -14*l + 49. What is f(2)? 21 Let y(q) = -q**3 + 57*q**2 - 308*q + 95. Calculate y(51). -7 Let j(u) = -17*u**2 - 2*u - 2. Calculate j(-4). -266 Let m(p) = -2*p**2 - 268*p + 23269. Determine m(-194). -11 Let b(o) = -o**3 - 10*o**2 - 6*o - 190. Determine b(-11). -3 Let v(p) = p**3 - 6*p**2 - 21*p + 125. Give v(5). -5 Let b(f) = -2*f**3 - 40*f**2 + 6*f + 113. Determine b(-20). -7 Let k(y) = 3*y**3 - 97*y**2 + 206*y + 141. Calculate k(30). 21 Let l(g) = -9929*g - 9900. What is l(-1)? 29 Let m(l) = -6*l**2 - 206*l - 1564. Give m(-23). 0 Let v(h) = -19*h**3 + 10*h**2 + 14*h + 5. What is v(-1)? 20 Let w(o) = -o**3 + 2*o**2 - 49*o - 2. Determine w(0). -2 Let v(t) = 99*t + 1382. Determine v(-14). -4 Let m(g) = 115*g - 561. Determine m(5). 14 Let l(k) = -667*k - 54021. Determine l(-81). 6 Let j(n) = 16*n - 171. What is j(12)? 21 L
{ "pile_set_name": "DM Mathematics" }
8. Let p(q) = -a(q) - s(q). What is the remainder when p(-3) is divided by 12? 9 Let b(g) = -9*g + 30. Suppose 0 = 4*o + 4*l + 8, 5*o + 13 = -4*l - 0*l. Calculate the remainder when b(-7) is divided by 484/20 + 1/o. 21 Let p(z) = z**3 - 8*z**2 - 4*z - 32. Suppose 28 + 84 = 4*i. What is the remainder when i is divided by p(9)? 2 Let i = -5 - -9. Suppose 16 = -5*n + 61. Calculate the remainder when i/(-8) + (-53)/(-2) is divided by n. 8 Let l be 63*((-6)/9 - -1). Suppose -3*r = -6*r + l. What is the remainder when 24 is divided by r? 3 Let c(k) = -k**3 - 6*k**2 + 4*k + 8. Calculate the remainder when c(-9) is divided by 4. 3 Suppose 8*k - 286 = 250. What is the remainder when 1070 is divided by k? 65 Let p(q) = 3*q - 2. Calculate the remainder when p(4) is divided by 6/21 - 589/(-217). 1 Let l be -14*-4*(-1)/(-14). Let k be l + -1 + 0 + -76. Let n = k - -103. What is the remainder when 89 is divided by n? 29 Suppose 4*x - 23 = 89. Let j(w) = 3*w + 3. Let v be j(0). Suppose 6 = u - v*n, -2*u + 5*n + 4 = -11. What is the remainder when x is divided by u? 13 Suppose -8*u = -7*u - 130. What is the remainder when u is divided by 40? 10 Let a(v) = 12*v - 103. Let g(f) = f**2 - f - 1. Let r(x) = 11*x**2 - 5*x. Let u(o) = -2*g(o) + r(o). What is the remainder when u(2) is divided by a(10)? 15 Suppose 14*u = 11*u + 48. What is the remainder when -2 - u/(-3)*(-66)/(-4) is divided by 22? 20 Let w = -506 + 197. Calculate the remainder when 5 + 145/(-25) + w/(-5) is divided by 16. 13 Suppose 5*z + 2 = -3*n, 2*z + 42 = 5*n - z. Let x be (n/4)/(2/4). Suppose -2*f + 115 = x*f. What is the remainder when 44 is divided by f? 21 Suppose -5*p - 2 + 7 = h, -3*h + 5*p + 35 = 0. Suppose -77 = -2*r + o + h, r = -o + 42. What is the remainder when r is divided by 11? 10 Let m(k) be the second derivative of -k**5/20 - k**4/6 + k**3 - 3*k**2/2 - 25*k. What is the remainder when 57 is divided by m(-4)? 2 Let n = 548 - 306. Calculate the remainder when n is divided by 81. 80 Let b(w) = -w**2 + 2*w - 4. Let y be b(3). Let r(h) = -3*h - 7. What is the remainder when r(y) is divided by 6? 2 Let r(j) be the third derivative of 5*j**4/24 + j**3/6 - 140*j**2. Suppose -y - y = -10. Calculate the remainder when 75 is divided by r(y). 23 Suppose -3 = 2*c + 5, 4*v + 12 = -3*c. Calculate the remainder when 66 is divided by 3/((-9)/(-102) - v). 32 Suppose 386 = -17*k + 573. Let s(d) be the first derivative of -d**2/2 + 3*d - 1. What is the remainder when k is divided by s(0)? 2 Let l(g) be the first derivative of g**4/4 - 4*g**3/3 - 7*g**2/2 - 7*g - 20. What is the remainder when 45 is divided by l(6)? 22 Let g = 78 + -47. Let n(q) = -2*q**2 - q**2 + q**3 - 2*q**3 + 1 + 5*q**2 + 3*q. What is the remainder when g is divided by n(-2)? 9 Suppose 0 = r + k - 37, -3*k + 2*k = 5. Calculate the remainder when r is divided by ((-12)/(-84))/(5/385). 9 Let t(m) = -12*m - 35. Suppose 3*h + 3*b + 3 + 15 = 0, -b = -5*h - 36. What is the remainder when t(h) is divided by 17? 15 Let n be 3/(4 - 3) - -47. Suppose -x - 129 = -5*r - n, 0 = r + 5*x + 5. Calculate the remainder when ((-15)/9 - -2)*78 is divided by r. 11 Let b = 29 + -4. Suppose -9*q = -10*q + b. Suppose -4 = -4*f + 24. What is the remainder when q is divided by f? 4 Suppose 321 = -5*b + 451. Calculate the remainder when 179 is divided by b. 23 Suppose -3*c = 2*c - 530. Suppose 134*u - 3846 = 978. Calculate the remainder when c is divided by u. 34 Suppose -d - 5*h = -295 + 33, -2*d + 2*h + 560 = 0. What is the remainder when d is divided by 40? 37 Let n(k) = 8*k - 4. Let w be n(-3). Let f(l) = -l + 26. What is the remainder when -1*3/3*w is divided by f(11)? 13 Suppose 5*i + 4*y = 34, -3*i - 5*y + 19 + 4 = 0. Suppose 0 = -i*b + 2*b + 28. Calculate the remainder when b is divided by 5. 2 What is the remainder when 1 - 1 - 30/(-2) is divided by 0 + (-250)/(-28) - (-15)/210? 6 Suppose -3*d + t = -47, -2*t = 4*d - 41 - 25. Suppose -5*n = -a - 7, a + 0*a - 13 = -5*n. What is the remainder when 22 is divided by d/a*72/32? 10 Let n be (-2)/7 - (-531)/21. Suppose 3*b = -s + 17, 3*b = -0*b + s + n. What is the remainder when 24 is divided by b? 3 Let g = -732 - -513. Let d(c) = -14*c**3 + 3*c**2 + 2*c. What is the remainder when (-1 - (-8)/12)*g is divided by d(-1)? 13 Let t(g) = 138*g - 273. Calculate the remainder when t(4) is divided by 71. 66 Suppose 0 = 4*i + 3*q - 105, 5*i - 175 = -25*q + 30*q. Calculate the remainder when 52 is divided by i. 22 Let k = -31 - -33. Suppose 2*q - 78 = -5*o, -k*q + 5*o + 44 + 34 = 0. Calculate the remainder when q is divided by 14. 11 Suppose 0 = 4*s - 13 - 43. Suppose 63 + 175 = s*v. What is the remainder when 67 is divided by v? 16 Let u(m) = 4*m**2 + 8*m + 13. What is the remainder when 19 is divided by u(-2)? 6 Let f be (8/7 - 2)*(9 - 23). What is the remainder when ((-28)/(-20) - 1)*(f - -3) is divided by 5? 1 Let f(o) = 8*o + 875. What is the remainder when f(-71) is divided by 137? 33 Let i(l) = -l**2 + 7*l. What is the remainder when i(6) is divided by -1 + -1 - 53/((-636)/72)? 2 Suppose 19 = w - j, -5*j + 68 = 3*w - 13. Suppose -84 - w = -2*g. Let r(b) = b**3 + 5*b**2 + b + 2. Calculate the remainder when g is divided by r(-4). 11 What is the remainder when 438 is divided by (-23 - -43) + 4 + -6 + 2? 18 Let y(f) = -f - 2. Let m be y(-8). Let b be (m/2)/(3/8). What is the remainder when 21 is divided by (-15)/20 - (-102)/b? 9 Let n(v) = v**2 + 2*v + 10. Let x be (-4)/12 + (-196)/(-12) - 3. Suppose -213 + x = -8*t. What is the remainder when n(7) is divided by t? 23 Suppose -2*j - 51 = -4*j + 3*a, 4*j - a - 107 = 0. Suppose -174*r + 106 = -172*r. What is the remainder when r is divided by j? 26 Suppose -67 = -f + 3*s, -5*f + 122 = -2*s - 161. Calculate the remainder when f is divided by ((-75)/(-60))/(1/12) + -1. 13 Let p(l) = -l**3 + 13*l**2 + 15. Let k be p(13). Let z(x) = 7*x - 35. Calculate the remainder when z(k) is divided by 24. 22 Suppose 4*g + 111 = -265. Let c = g + 114. What is the remainder when 99 is divided by c? 19 Suppose 0 = -2*w - 0*w - 2*r - 8, 3*w + r = -2. Suppose -4*v = 4*t - 240, 124*v + 66 = t + 122*v. What is the remainder when t is divided by 0 + -1 + w*14? 10 Suppose l + 3*h = 6 - 1, l - 3*h + 1 = 0. Suppose 0 = 5*x - 3*u - 320, 2*u = -l*x - 57 + 201. What is the remainder when x is divided by 14? 11 Calculate the remainder when 26 is divided by -5*(8/(-8) + 0). 1 Let q = -48 - -61. Suppose -3*d - 21 = -0. Let h = -2 - d. What is the remainder when q is divided by h? 3 Suppose 0 = -3*g + 2*y + 608, 3*g - 3*y - 305 = 298. What is the remainder when g is divided by 26? 24 Let i = 262 - 222. What is the remainder when 113 is divided by i? 33 What is the remainder when 644 + (9 - 8)*-8 is divided by 49? 48 Suppose 2*p = -b + 62 + 134, -292 = -3*p - b. Calculate the remainder when p is divided by 25. 21 Suppose 32*i - 945 = 17*i. Calculate the remainder when i is divided by 13. 11 Suppose -2*j + p = 0, -2*j - 5*p = 24 - 0. What is the remainder when (j*1/(-4))/(9/342) is divided by 7? 5 Suppose 0*a = -3*s - a + 59, -15 = -3*a. Calculate the remainder when 10/(-45) + 1300/s is divided by 15. 12 Let t be 1/(-2) + 471/6. Let j = 132 - t. Calculate the remainder when j is divided by 19. 16 Let b be -3 + 105/(15/3). Let f be (-1*b)/((-3)/(-3)). Let r = f + 35. What is the remainder when 64 is divided by r? 13 Let r = 5 - -2. Let v(x) = r*x**3 + 2*x + 2*x - x**3 - 2*x - 2. What is the remainder when 9 is divided by v(1)? 3 Let r be (-4)/6 - 22/(-6). Suppose -r = -5*k + 2. Suppose 0 = -i + 33 + k. Calculate the remainder when 65 is divided by i. 31 Let k = -682 + 716. Calculate the remainder when 75 is divided by k. 7 Let n = -1534 + 1577. What is the remainder when 148 is divided by n? 19 Suppose 2*c = 3*c - 11. Suppose -11 + 6 = -3*g - k, -4*k = 3*g - c. Suppose g = 3*r - 131. Calculate the remainder when r is divided by 15. 14 Suppose -3*p = -50*n + 59*n - 159, 0 = -2*n - 5*p + 31. What is the remainder when 89*(1 - 0/2) is divided by n? 17 Let b = 8 - 5. Let i = -5 + 15. Suppose -a + 6*a = i. What is the remainder when b is divided by a? 1 Suppose 8*r + 9 = 11*r. Suppose 113 = 5*x + r*l, -4*l + 73 - 3 = 3*x. Calculate the remainder when 108 is divided by x. 20 Let m(x) = 2*x**2 - 2
{ "pile_set_name": "DM Mathematics" }
5). -12*sqrt(2)/11 Simplify (sqrt(143)*-3*5 + 5*sqrt(143)*3)/(sqrt(275) - (sqrt(275) - -5*-2*sqrt(275)) - 3*sqrt(275)*2). 0 Simplify ((sqrt(363) + 0 + sqrt(363) - (sqrt(3)*2 - sqrt(3))*2)**2 + ((sqrt(6)*-3)/sqrt(2) - sqrt(108)/sqrt(9)))*6. -30*sqrt(3) + 7200 Simplify 3 + (sqrt(2736) - sqrt(2736)*3)**2*3 - (sqrt(57) + (sqrt(3648) - sqrt(3648)*-2))/(sqrt(36)/sqrt(48)). -50*sqrt(19) + 32835 Simplify (6*(sqrt(78) + sqrt(78)*5 + sqrt(78) - sqrt(78)) - (sqrt(78) + sqrt(78)*3*4 + sqrt(78)))/((sqrt(432)/sqrt(48))/(-2*sqrt(6)*3)). -264*sqrt(13) Simplify (-1*(sqrt(1300)*-4*-6 - -4*(sqrt(1300) + -1))*-2)**2*3. -26880*sqrt(13) + 12230592 Simplify (-1 + sqrt(1100)*3)**2 + -1 + (4*sqrt(11) + -1 - (1*sqrt(88))/sqrt(8)). -57*sqrt(11) + 9899 Simplify (((2 + sqrt(931) + -4)**2 - sqrt(931)) + (sqrt(931) - (-3*sqrt(931)*2)**2) - (-1*sqrt(931)*5 - (sqrt(931) + 2)*2)**2) + 2 + 5. -78209 - 420*sqrt(19) Simplify (-5*(0 + sqrt(325)) + -4)**2 - ((sqrt(650) - (sqrt(650) - -1*sqrt(650))) + sqrt(650))/(sqrt(8)/sqrt(4)*6). 200*sqrt(13) + 8141 Simplify (-4*sqrt(75)/sqrt(5) + sqrt(540) + 1*sqrt(540) + sqrt(540))/(2*(sqrt(605) - (6*(1*sqrt(605) + sqrt(605)) - sqrt(605)))). -7*sqrt(3)/110 Simplify (6*(-4*sqrt(1900) + 4)**2*1 + 5)*5 + -1. -9600*sqrt(19) + 912504 Simplify (4*(sqrt(76) + (sqrt(76) - (sqrt(76) - -3*sqrt(76))*-6)))/(-5*sqrt(324)*-3) + -3. -3 + 104*sqrt(19)/135 Simplify (sqrt(567)/(sqrt(27)/sqrt(3)) - 2*(sqrt(7) - (sqrt(567)*2)**2)) + (sqrt(77)/(sqrt(44)/sqrt(4)) + 2 - (sqrt(175) + (sqrt(175) + 1)**2 + 2 - sqrt(175))). -8*sqrt(7) + 4360 Simplify (-2*(5 + -4 + 2 + (sqrt(343) - (-5 + -2*sqrt(343)))))**2. 1344*sqrt(7) + 12604 Simplify ((2*sqrt(144)*2)/(sqrt(36)*-2))/((sqrt(96)/sqrt(2)*-6)/(sqrt(54) - sqrt(54)*-2)). 3*sqrt(2)/2 Simplify (2*sqrt(500) + -6*(sqrt(20) + 1) + 6*(1 + (0 + sqrt(405) - sqrt(405)))*6)**2. 480*sqrt(5) + 1220 Simplify (4 + ((sqrt(108)*-1 - sqrt(108))*-5 + 6*(0 + sqrt(108)) - (2 + sqrt(108))*-1*3)**2)*-1. -39028 - 1368*sqrt(3) Simplify -2 + ((sqrt(112) - ((sqrt(112) - (4 + sqrt(112) + 1)) + sqrt(112))) + (sqrt(112) + -1)*-2)**2 + (1*(1 + 1*sqrt(112)))**2 + -2 + 3. -104*sqrt(7) + 609 Simplify -1*1*3*(sqrt(11) + (4*sqrt(11) + -3)**2 + (sqrt(11) - (1 + sqrt(704))) + -5). -537 + 90*sqrt(11) Simplify (-5*(4 + 2 + 0 + sqrt(432) + -1 + -4)*-3)**2 + 4. 5400*sqrt(3) + 97429 Simplify sqrt(343)*-6 - ((sqrt(63) + sqrt(2268))/sqrt(9) - sqrt(7)) - (sqrt(49)/(sqrt(784)/sqrt(7)) + -3). -193*sqrt(7)/4 + 3 Simplify -1 + ((2*(sqrt(342)/sqrt(2) - sqrt(19)))**2*3 - -4*((sqrt(209) + 1*sqrt(209))*-6 - sqrt(209))/sqrt(11)) + 0. -52*sqrt(19) + 911 Simplify (-6*(3*sqrt(143)*1 - (sqrt(143) - (sqrt(143) - sqrt(143)*2*-6))))/((sqrt(396) + sqrt(396) + sqrt(396)*1)*6*-5). sqrt(13)/6 Simplify ((sqrt(170)/sqrt(5)*-4 + (-3*-1*sqrt(34) + sqrt(34) + sqrt(34) - sqrt(34)))/((6*sqrt(18) + (sqrt(128) + sqrt(128)*-1 - sqrt(2)))*2))**2. 0 Simplify ((sqrt(51) - sqrt(1836)*1 - sqrt(51)) + -2*sqrt(816) + sqrt(51))/(sqrt(243) + (sqrt(243) + -3*sqrt(243))*-5 - sqrt(243)). -13*sqrt(17)/90 Simplify -1 + (((0 + sqrt(80) - sqrt(80)) + -3)*-4*-4 + (2*-3*sqrt(80) - (-2 + sqrt(80))*-4))**2. 896*sqrt(5) + 3455 Simplify ((1*sqrt(72)*-5*3)/((sqrt(18) + sqrt(126)/(sqrt(21)/sqrt(3)))/(sqrt(24)/(-2*sqrt(12)))))**2. 225/2 Simplify (4*(-1 + ((sqrt(432) + -1 - sqrt(432)) + -2 - (-2 + sqrt(432) + 5 - sqrt(432) - sqrt(432))) + -3))**2 + -4 + 3. -3840*sqrt(3) + 8511 Simplify -5 + ((sqrt(68) + 1 + sqrt(68))*4 + -1 - (sqrt(68) - (sqrt(68) + 2)*-2 - (sqrt(68) + 4*(sqrt(68)*1 - sqrt(68) - sqrt(68)) - sqrt(68))))**2. -4*sqrt(17) + 64 Simplify -1*((sqrt(18) - -4*sqrt(18)*-2) + sqrt(162)/(sqrt(9)*-2) + (1 + sqrt(4)/sqrt(2) + (sqrt(2) - -1*sqrt(2)*6))**2*4) + -1. -517 - 83*sqrt(2)/2 Simplify -5 + (-5 + sqrt(128) + -1 + sqrt(128) + sqrt(128) + 0 + 4)**2 + -5 + (sqrt(128) - ((sqrt(128)*-1)**2 + -1)) + -2. -88*sqrt(2) + 1017 Simplify -5*(sqrt(2450)*-3 + 0 + 2 + -5)**2. -110295 - 3150*sqrt(2) Simplify (-2 + (1*(3 + sqrt(363) + sqrt(363) + -1*sqrt(363)) - ((sqrt(3) - sqrt(24)/(sqrt(8)*-2)) + 1 + sqrt(27))))**2. 507/4 Simplify (-6*(-1*(sqrt(114) + 2*sqrt(114)) - (sqrt(114) + -5*-2*sqrt(114))))/(-5*4*(sqrt(216) - (sqrt(216)*2 + sqrt(216)))). 7*sqrt(19)/20 Simplify ((5 + (5*(-1*sqrt(2) + sqrt(2))*6*3 + 3)*2)*-6)**2. 4356 Simplify ((-3*(sqrt(78) + 2*sqrt(78)) - sqrt(78))/(sqrt(12)/(sqrt(4)/sqrt(2))))**2 + 4 - (5 + -4 + sqrt(832) + 1 + sqrt(832) + 5). -16*sqrt(13) + 1297 Simplify ((-3*sqrt(225)/sqrt(9) + 3*sqrt(250)/sqrt(10))/(4*(sqrt(500) - ((sqrt(500) - sqrt(500)*-1)*3 + sqrt(500) + sqrt(500)))))**2. 0 Simplify (sqrt(176) + -4 + sqrt(176) - (sqrt(11)*-5 + -4) - (-1 + sqrt(11) + sqrt(11) + 5 + 1)*-3)**2. 570*sqrt(11) + 4196 Simplify -4 + (0 + sqrt(1573))*2 + (5*(1 + sqrt(1573)))**2 + sqrt(1573) + (3 + (sqrt(1573) + -6*(sqrt(1573) - sqrt(1573)*-2))*-4)**2. 5071*sqrt(13) + 7312907 Simplify ((((0 + sqrt(7))*-2 - sqrt(7)) + sqrt(448)*-3)**2 + (sqrt(49) + -2*sqrt(4900))/sqrt(7))*3. -57*sqrt(7) + 15309 Simplify -1 + ((-3*sqrt(448) - sqrt(448)) + -4)**2*-1 + (2 + sqrt(343) + -2 + (sqrt(343) - (2*sqrt(343) - sqrt(343))))**2. -6842 - 256*sqrt(7) Simplify -2*(-6*(sqrt(64) + 2*sqrt(64) + sqrt(64)) + sqrt(64) - (sqrt(64) - (sqrt(64) - (sqrt(64)*-2*-6 + sqrt(64) - sqrt(64)))))/(-6*6*sqrt(128)). -35*sqrt(2)/36 Simplify 4 + (-1*((sqrt(42)/sqrt(2)*5)/(sqrt(18)/(-1*sqrt(6)) - sqrt(3)) - (-6*(1*sqrt(56) - sqrt(56)))/(sqrt(392)*-1)))**2. 191/4 Simplify (-3*sqrt(306)*5*2)/(-3*(sqrt(8) - (sqrt(72) + -5*sqrt(72)))). 15*sqrt(17)/13 Simplify 5*(0 + (sqrt(60)/(sqrt(132)/(sqrt(11)*-1)) - (-1 + (1*(3 + sqrt(5)))**2))). -35*sqrt(5) - 65 Simplify ((2*-1*sqrt(400))/((sqrt(10) - ((sqrt(160)*1 - sqrt(160)) + sqrt(160) + sqrt(160))) + sqrt(10)))/(sqrt(392)*-5 + sqrt(16)/sqrt(8)). -2*sqrt(5)/207 Simplify (sqrt(33) + sqrt(33) + 3*sqrt(528))/(sqrt(66)/sqrt(384)) - ((sqrt(72)/sqrt(3)*5)/sqrt(8) - sqrt(21)/((sqrt(126)/sqrt(3))/sqrt(6))). 108*sqrt(3) Simplify ((-3*sqrt(396)*-4 + sqrt(396))/sqrt(12)*-3)/((sqrt(432) - (sqrt(432) - 4*(sqrt(432) + 2*sqrt(432) - sqrt(432)))) + -6*sqrt(432)*1). -13*sqrt(11)/8 Simplify (-4 + 5*(sqrt(567) + -3))*-5 - (-2 + 1*(-3*sqrt(567) + -1))**2. -5017 - 387*sqrt(7) Simplify 0 + (sqrt(99) + sqrt(99) + -1*2*sqrt(99) - (sqrt(99)*-3 - sqrt(99))*-2)/((-1*sqrt(108)*5)/((-1*sqrt(60))/sqrt(5))). -8*sqrt(11)/5 Simplify 2*(2*(sqrt(243) + -1) + (sqrt(243) + -1 - sqrt(243)) + -1 + (sqrt(243) + 2)*-6 + -5)**2*-1. -8658 - 3024*sqrt(3) Simplify 6*(5 + 3 + sqrt(832) + -2)**2 + 1*((sqrt(832) - sqrt(832)*-4) + sqrt(832))**2*2*-4. -234408 + 576*sqrt(13) Simplify 3 + (sqrt(35)/sqrt(7) + sqrt(5))**2 - sqrt(1125)/sqrt(9) - (-3 + (((sqrt(90) + (sqrt(90) - (3*sqrt(90) - sqrt(90))))/sqrt(2))/sqrt(9))**2). -5*sqrt(5) + 26 Simplify -3 + (sqrt(378)/(sqrt(9) + sqrt(81)))/((sqrt(48)/sqrt(2))/sqrt(4)) + (sqrt(105)/sqrt(3)*-5)/(-6*sqrt(20)). -3 + 2*sqrt(7)/3 Simplify (-6*((sqrt(132) - ((3*sqrt(132)*1 - sqrt(132) - sqrt(132)) + sqrt(132)) - sqrt(132)) + sqrt(132))*1)/((sqrt(147) - sqrt(3))*4 + 3*sqrt(12)). 2*sqrt(11)/5 Simplify (6*-5*(0 + sqrt(700)) + (2*(sqrt(700)*2 + sqrt(700) + sqrt(700)))**2 + -2)*-1. -44798 + 300*sqrt(7) Simplify (1*sqrt(400) + sqrt(400))/((-1*sqrt(6))/sqrt(3)) - 2*(sqrt(98) + (-2 + sqrt(98))*4). -90*sqrt(2) + 16 Simplify -3*(-3 + 1*(sqrt(1539) + 0 + sqrt(1539) + sqrt(1539)) + sqrt(1539))**2 - ((-1*2*sqrt(1539) + sqrt(1539) - sqrt(1539))**2 + 4 + sqrt(1539) + 4). -80063 + 639*sqrt(19) Simplify 6*(sqrt(378) + -6*sqrt(378)*2)/(-4*sqrt(12)/sqrt(2) + sqrt(54)*1). 198*sqrt(7) Simplify (1*3*6*sqrt(612)*5*-1*6)**2. 178459200 Simplify (3 + (sqrt(1008)*-1 + -5 + 4 + -4*(sqrt(1008) + (sqrt(1008) - (-5 + 0 + sqrt(1008) + sqrt(1008)))))*4)**2. 7776*sqrt(7) + 22689 Simplify (5 + (5 + -6*(sqrt(1568) + 3 + sqrt(1568)) + sqrt(1568))**2 + 5)*3. 24024*sqrt(2) + 569721 Simplify 5 + -5*(4*(-3 + sqrt(432) + 2 + -4 - (sqrt(432) + 0 + sqrt(432) + 4 - sqrt(432))*1))**2. -6475 Simplify ((sqrt(112) + 1 + -4)**2 + (sqrt(112)*-1)**2 + -3 + -4 + (sqrt(112) - (-1 + sqrt(112))**2) + 3)*-2. -232 + 24*sqrt(7) Simplify (0 + 5*(sqrt(12)/(-2*sqrt(72) + sqrt(72) + sqrt(2)))/(sqrt(192)/sqrt(6)*6)*3)**2. 3/64 Simplify (-2*-2*sqrt(1152) + 2)**2 + (sqrt(18) - (sqrt(162) + -4))**2 + -3*-1*sqrt(18) + -5. 345*sqrt(2) + 18519 Simplify 2*(4*(3 + (sqrt(1872) + 0 - sqrt(1872)) + -5 + 5 + (sq
{ "pile_set_name": "DM Mathematics" }
-2*d = 2*s + 4. Let v = 3 + d. Suppose 5*m - 6 - 4 = v. Solve -5*u + 19 = 3*o - u, m*o + 5*u - 22 = 0 for o. 1 Let r be 4/22 + (-237)/33. Let u = r - -11. Solve 4*n = 4*i - 8*i - u, 5*n = -i - 1 for n. 0 Let k = 4 + 0. Let r = k - 2. Let d = -1 + 8. Solve 2*w = -d*o + 3*o + 10, r*o = -3*w + 7 for w. 1 Suppose -3 = 2*a + 27. Let w be 10*(1 + 9/a). Solve -4*r + 5*k - w*k - 1 = 0, 15 = -5*k for r. -1 Let z(s) = s**2 - s + 2. Let l be z(2). Solve 2*h - 4*h = n - l, 7 = 5*h + 4*n for h. 3 Let d = -25 + 30. Solve -2*s + d = 5*z, 35 = -4*s + 3*z + 2*z for s. -5 Suppose 0*v = -v + 14. Let o = v - 7. Suppose 2*u + 0*w + w = 5, 0 = -2*u + w + o. Solve 5*s = 5*y - 20, 1 = -u*y - 4*s - 22 for y. -1 Let f(y) = 4*y + 4. Let j be f(-2). Let d(v) = v**2 + 4*v + 3. Let a be d(j). Solve -2*h + h + 4*c + 5 = 0, h - a*c = 4 for h. 1 Let t = 2 - -1. Suppose -o - 3*f = 1 + 8, 2*f = t*o - 17. Solve 2*i + o*n + 5 = 0, -4*i - 2*n - 3 = -3*n for i. -1 Suppose 3*c - 15 = -f, 5*c + 5*f - 31 = c. Solve -k = 5*n + 2*k - 10, 4*k - 16 = -c*n for n. -1 Let g(c) = -3*c**2 + 2*c. Let i be g(2). Let k = i - -10. Suppose -6*m + k*m + 5*o - 8 = 0, 16 = 4*m + o. Solve -5*q = 4*z + 12, m*q = -3*z - 3 - 3 for z. 2 Let m be (0 + 20/16)*4. Solve -4*l + j + 9 = -2, -4*j - 11 = -m*l for l. 3 Let u(z) = 2*z**3 + 4*z**2 + 4*z + 2. Let a be u(-2). Let m = a + 11. Solve 2*i = -2*o + 18, -3*i - 8 = -m*i for o. 5 Suppose 0 = 4*j + 4 - 20. Let q = 4 - 1. Suppose k - q*g = 2*g - 4, 0 = -k - 4*g + 5. Solve -2*v - j*b = -b, -v = b + k for v. -3 Let x = -2 - -3. Solve 9*s - 21 = 4*s + 4*o, -x = 3*s + o for s. 1 Suppose 2*y = -z - 4*z + 50, 4*z - 2*y - 58 = 0. Solve -z = -4*p + 4*l, -3*l - 10 = -2*p + l for p. 1 Suppose 0 = 5*g - 3*d - 39, -5*g + 8 = -2*d - 33. Let n be (g/6 + -1)*0. Solve -5*u + 3*m + 22 = 0, -2*m = 5*u - n*m - 27 for u. 5 Let m = 12 - 12. Solve 4*a + 17 = 5*j - m*j, 5 = 2*j - a for j. 1 Let i(b) = -4*b**2 - 17*b - 3. Let h be i(-4). Solve -3*z = 4*p + h, -4*z + 5*p = -9*z for z. 1 Let l be ((-2)/(-1))/(-2)*0/1. Solve -4*v - 20 = l, -4*v - 17 = -2*j - j for j. -1 Let t = -154 + 277. Suppose -t = -4*z - 39. Suppose 5*g - 4 = 11. Solve 2*u = -g*u - l + z, 0 = u - 3*l - 1 for u. 4 Let h be ((-2)/4)/((-5)/70). Suppose h = 2*k + 1. Suppose -3 = y - c, 4*y = y - k*c + 21. Solve 4*x + 10*b - 5*b = -3, -y*x - 2 = 2*b for x. -2 Suppose 8 = 2*b + 2. Let c(m) = -m**2 - 14*m - 42. Let y be c(-7). Solve 3*j = b*v + 6, -10 = -4*j - 2*v + y*v for j. 0 Let d(z) = -z - 3. Let n be d(-6). Suppose 21 = t + 2*t. Suppose 3*i = 5 + t. Solve p = n*a, -2*p - p + i*a = 5 for p. -3 Let o be ((-3)/(-2))/(2/4). Let u be -2*((-6)/4 - -2). Let z be 10 + -7 + 1*u. Solve o*t = 4*c, 5*t - z*c - 5 = 9 for t. 4 Let z = 6 - 3. Let u = 2 + 25. Suppose 5*f - 2*n - u = 0, 4*n + 3 + 1 = 0. Solve 0 = -f*t - 3*q + 20, z*q = -t - 3*t + 19 for t. 1 Let t = -4 - -6. Let i(f) = 2*f - 2. Let r be i(t). Suppose -2*n - 10 = -r*k + n, -n - 8 = -3*k. Solve -3 = -5*q + 2, 2*z = 4*q + k for z. 3 Let m be 15/(-10)*(-16)/6. Let x(f) = -f**3 + 13*f**2 + 18. Let y be x(13). Solve 4*k = -h + 4, -m*h + 0*h = -k + y for k. 2 Let c = 106 + -102. Solve s - q = -1, c*s - q - 15 = -4 for s. 4 Let r be (1 + -1 - 0) + 27. Suppose 0*a - 5*a - y = -13, 4*a + 7 = 5*y. Solve -5*i - x - 5 + r = 0, 0 = -4*i + a*x + 12 for i. 4 Suppose 3*q - 4*c - 47 = 0, 3*c = 4*q - 2*c - 62. Solve 0 = -2*k + 3*f - 0 - q, -7 = -4*k - 5*f for k. -2 Suppose 19*a = 17*a + 6. Solve 9 = a*v + 3*p + 3, 5*p + 11 = 2*v for v. 3 Let b(m) = -m**3 - 3*m**2 - m - 1. Let p = 5 - 8. Let v be b(p). Solve -4*z + 3*q - v = 11, 13 = -2*z - 5*q for z. -4 Let j be (-3)/(-18) + 22/12. Solve -3*c + 2 = 4*y, -y - 2*c = -1 - j for y. -1 Suppose 2*f + 29 = -2*f - 5*t, f + 11 = -2*t. Let w be (5 - -1) + 1/f. Solve w*l = 20 + 5, 3*m + 2*l - 22 = 0 for m. 4 Suppose 2*d - d = 0, 4 = 4*h - 5*d. Let k be (-2)/(-4) - h/2. Solve 2*g - 4*m = -2*m, -3*m + 3 = k for g. 1 Let i be (0/(3/(-1)))/2. Suppose 5*y + i*z + z - 33 = 0, 0 = -2*y + 4*z. Let x be 1/6 + 23/y. Solve 0 = -2*m - 2*s - 2, x*s + 4 = 3*m + 28 for m. -4 Suppose -6 + 1 = -2*d + l, 0 = -d - 3*l - 1. Solve 5*y + 9 = n, -d*y - 4 = 4*n + 4 for y. -2 Let k(o) = o + 65. Let b be k(0). Suppose 0 = 4*l - 9*l + b. Solve l = 4*r - w, 3*r - 6*r + 5 = 4*w for r. 3 Suppose -t = 4*v + 21, -3*v + 22 = -4*t - 24. Let p = t - -15. Solve 3*b = -b - p*m + 26, -3*m + 11 = -b for b. 4 Let b(x) = -x + 16. Let k be b(11). Suppose -3*l + k*t - 22 = -2*l, 20 = 5*l + t. Solve -2*m = -5*d + 18, -l*d + d + 13 = 5*m for m. 1 Let v = 9 - 4. Solve 0 = -v*w - 3*a + 12, 13 = 3*w - 3*a + 1 for w. 3 Suppose -2*b - 1 - 25 = -5*t, -3*t + 12 = 0. Let m = -1 - b. Solve 7 = -3*d + m*v - 7*v, v = 2*d + 9 for d. -4 Let d(x) be the first derivative of -x**2/2 - 3*x + 3. Let w be d(-8). Solve -w*a + 6*f - 2*f + 36 = 0, a = -f for a. 4 Suppose 0 = 2*n - 4*v - 16, 0*n - 4*v = -n + 12. Solve -5*j = 4*f + 9, -4*f = -5*j - n + 3 for f. -1 Let b = 3 - 1. Let t be ((1 - b)*1)/1. Let l be 0/(t/((-3)/3)). Solve l = -5*u - 2*p - 30, u - 4 = -2*p - 18 for u. -4 Let m be (25/(-15))/(1/(-3)) - -3. Solve 0 = -5*u + 4*r - 9, 33 + m = -5*u - 4*r for u. -5 Suppose 2*x + 9 = -5*s + 3, -18 = -5*x + 4*s. Let w be (1 + x)/((-6)/(-4)). Solve w*h = -3*n - 4 - 11, 2*n + 2*h = -12 for n. -3 Let a be (-5)/10 - (-10)/(-4). Let d be 6/(a*2/(-4)). Solve 18 = -3*o + 5*n - 0*n, -4*o + 8 = d*n for o. -1 Suppose 0 = -g - g + 8. Let u be 3/6*(1 + -1). Solve u = h + 2*h - 4*i + 1, 0 = 4*h - g*i for h. 1 Let o be (-1*10)/(2 + -4). Suppose 7 - 19 = -4*w - 5*k, 6 = 2*w - o*k. Solve -c + w = -0*u + 3*u, 0 = 4*u + c - 4 for u. 1 Let g = -43 + 63. Suppose -g = -2*d - 3*d. Let l = 1 + d. Solve 5*x - 5*y = l, y + 7 = -x - 0*y for x. -3 Suppose 5*a - 11 = v + 13, 0 = 3*a - 2*v - 13. Suppose p - a = 9. Let f(c) = c + 2. Let z be f(6). Solve -2*s - 2 = z, -x = -2*s - p for x. 4 Let z = 201 + -183. Solve 0 = c - 3*w + 2, -4*c + 1 - z = -3*w for c. -5 Let l(j) = -j**3 + 5*j**2 - 4*j + 4. Let h be 2 - (2 - 2 - 2). Let z be l(h). Solve -4*g - s - 22 + 4 = 0, 4*g + 24 = -z*s for g. -4 Suppose 2*k + 4*w - 1 = 1, 5*k = 3*w + 5. Suppose -2*i = -s - k - 8, -i + 4 = 0. Let m be ((-1)/s)/1 - -9. Solve -m = -5*u, -5*p + 0*p + u = -23 for p. 5 Suppose 12*b - 22 = 10*b. Solve 5*t - b = 2*o + 2*o, t - 6 = -3*o for t. 3 Suppose -2 = 2*u + y, -2*u + 3*y = -y - 18. Let h(w) = 17*w + 1. Let t be h(u). Solve 5*s - i = -0*i + t, -2*s = 2*i for s. 3 Suppose 2*k = g + 3, 0 = 2*g + g + k - 19. Solve -2*n = -4*v, 0 = g*v + 3*n - 7*n + 6 for v. 2 Suppose -2*i + 56 = -2*b, -3*i + 134 = -2*b + 50. Solve 2*x - r - 3 = 0, i = 2*x + 5*r - r for x. 4 Let l be 0 + -1 - 10/(-2 - 0). Let z = 3 - 1. Solve -5*j = -l*o + z*o + 31, -5*o = -15 for j. -5 Let z(a) = 5*a**2 + a. Let r be z(-1). Solve h = 3*h - u + 10, 4*h + r*u = -8 for h. -4 Let q = 135 + -131. Solve 0*a = -4*a + q*z - 8, 2 = -a - 2*z for a. -2 Let y be ((-5)/15)/((-2)/12 - 0). Let x(g) = -g**2 - 5*g - 2. Let k be x(-3). Solve -3*m - 6 = 3*u, -k*u = -m + y + 1 for u. -1 Let b be (1*-1)/((-2)/10). Suppose 0 = -2*u - 0*u + 6. Suppose 5*k = -4*l + 48, -u*k + 40 = 3*l + 13. Solve k = -4*v + 2*t, -2*v - 3 = -b*t + 11 for v. -2 Suppose -14 = -4*r - 2. Solve -9 = r*x + 5*b, 0 = -b + 2 - 5 for x. 2 Let c(a) = -a**3 - 13*a**2 + 4. Let s be c(-13). Solve n + 2*n + 5 = s*o, o = -2*n + 15 for o. 5 Let r = -83 - -87. Solve 5*f = -3*m + 30, 2 = -4*m + 2*m + r*f for m. 5 Suppose -7*d + 4*d = -60. Solve -u = 2*g - 10, 4*u - 4*g = 3*u - d for u. 0 Suppose 4*m - 4 = 8. Suppose m = -2*p + 3*o, 4 = -p - o + 5*o. Let k = 10 - 6. Solve 3*u = 2*s - k, 5*s + p*s - 17 = 4*u for s. 5 Let v be ((-27)/(-6) + -5)*-6. Solve -4*j + 4*l - 16 = 0, -v*j - 5*l - 1 = 11 for j. -4 Let z(a) = a**3 + 6*a**2 - a - 4. Let b be z(-6). Solve 4*m - 18 = r, 2*m - 16 = b*r - 5*r for r. 2 Suppose -5*h = 3*i - 18, -3*h + 3*i + 8 = 2*i. Let j be h/6 + 9/2. Suppose 6 = j*a - 14. Solve a*y + 4*o - 28 = 0, 0*y - 2*y - 3*o = -16 for y. 5 Let x(p) = p**3 + 6*p**2 + 3*p - 6. Let k be x(-5). Suppose 0 = -6*w + 2*w - 4*g + 28, -w - k*g + 16 = 0. Solve 3*q + 5 = 3*z + w*q, 0 = -2*z - 5*q + 12 for z. 1 Suppose -3*w - 4 = -10. Let h = w + -1. Solve -l = f + h, -l - 10 = 6*f - 2*f for l. 2 Let r = -23 + 32. Let p(l) = l - 6. Let a be p(r). Let x(d) = 4*d + 1
{ "pile_set_name": "DM Mathematics" }
smallest common multiple of 12 and 94611604? 283834812 What is the least common multiple of 25175 and 2244950? 2260664650 What is the least common multiple of 28 and 8137484? 56962388 Find the common denominator of 49/2889184 and -65/2712. 8667552 What is the smallest common multiple of 877264 and 21? 18422544 Calculate the lowest common multiple of 20560 and 50886. 2035440 What is the least common multiple of 15592320 and 852705? 109146240 Calculate the lowest common multiple of 50726 and 8406. 213201378 Calculate the common denominator of 97/52992180 and 77/2944010. 52992180 What is the lowest common multiple of 27146704 and 9527449? 1981709392 What is the smallest common multiple of 2015605 and 1955? 2015605 What is the least common multiple of 68280 and 79563? 1810853880 Calculate the lowest common multiple of 32 and 5614548. 44916384 What is the common denominator of -73/12 and -37/6779538? 13559076 What is the least common multiple of 298928 and 1960? 10462480 What is the common denominator of 67/461100 and -13/230550? 461100 What is the least common multiple of 6 and 26337920? 79013760 What is the smallest common multiple of 2853479 and 7096? 22827832 What is the least common multiple of 6029708 and 10? 30148540 Calculate the common denominator of -97/48 and -53/7760808. 15521616 Calculate the lowest common multiple of 2882357 and 41. 118176637 Find the common denominator of 53/35 and -78/222477745. 222477745 What is the common denominator of -9/28336 and 67/569940? 25077360 What is the common denominator of 61/17685 and 95/94565232? 472826160 Calculate the smallest common multiple of 132779 and 370. 49128230 Find the common denominator of 52/63 and -121/140381500. 1263433500 What is the lowest common multiple of 8200 and 6311540? 63115400 Find the common denominator of 27/451217 and 31/769288. 46926568 Calculate the common denominator of 1/14400 and -91/25600. 230400 What is the common denominator of -7/113323542 and -127/2832? 906588336 Calculate the common denominator of 15/155329 and -27/4726. 43181462 What is the lowest common multiple of 92020 and 390? 3588780 What is the lowest common multiple of 2607004 and 10655371? 1832723812 Calculate the lowest common multiple of 2646 and 4955958. 4955958 What is the common denominator of -9/20138 and 65/1186? 11941834 Calculate the lowest common multiple of 4447484 and 527014. 182346844 What is the common denominator of -197/12090 and 23/654? 1317810 Calculate the common denominator of -17/42 and -103/64504412. 193513236 What is the least common multiple of 543930 and 3771248? 56568720 Find the common denominator of -127/36786 and 52/4138425. 8276850 Calculate the common denominator of -55/48372 and -107/14036. 5853012 What is the smallest common multiple of 12725141 and 2? 25450282 What is the common denominator of 95/261919776 and 143/30? 1309598880 Calculate the common denominator of -1/282309 and 53/64218. 43475586 Calculate the smallest common multiple of 162 and 3179898. 3179898 Calculate the least common multiple of 110 and 490083. 4900830 What is the common denominator of -139/60 and -3/10218860? 30656580 What is the common denominator of -13/17062716 and 119/220? 85313580 Calculate the smallest common multiple of 42608 and 11195252. 44781008 Find the common denominator of 71/2535 and 41/76960. 3001440 Calculate the common denominator of 18/638341 and -77/2959581. 32555391 Find the common denominator of -61/473314 and -65/1225048. 20825816 Calculate the common denominator of 37/294724 and -26/15694053. 62776212 What is the common denominator of 43/88 and 85/10173636? 20347272 Calculate the least common multiple of 187479 and 96273. 3562101 Find the common denominator of 79/54035962 and 75/2. 54035962 Calculate the lowest common multiple of 43616 and 83639132. 669113056 What is the lowest common multiple of 2514 and 2362? 2969034 What is the common denominator of -5/5016132 and 121/1216032? 40129056 Calculate the smallest common multiple of 47496 and 3960. 7836840 Calculate the least common multiple of 1376892 and 584136. 19276488 Calculate the smallest common multiple of 23028005 and 535. 23028005 What is the common denominator of 85/33768 and 127/78740544? 1653551424 Calculate the common denominator of -121/3661728 and 19/4272016. 25632096 What is the least common multiple of 1408 and 73072? 6430336 Find the common denominator of -68/2865 and -41/2859843. 14299215 Calculate the least common multiple of 63 and 7888510. 70996590 Find the common denominator of -141/12250 and 65/17038. 14908250 Calculate the least common multiple of 590040 and 648. 5310360 What is the common denominator of -119/11418 and 64/97977? 33900042 What is the lowest common multiple of 474075 and 58041? 3057309675 Calculate the least common multiple of 400032 and 644496. 11600928 Calculate the smallest common multiple of 504596 and 576. 72661824 What is the common denominator of -91/298 and 11/302136? 45018264 Calculate the smallest common multiple of 9 and 190740533. 1716664797 What is the common denominator of -47/784050 and 77/1653? 432011550 What is the least common multiple of 1363298 and 10024250? 170412250 Calculate the common denominator of -65/63543 and 37/4742. 301320906 What is the least common multiple of 16003188 and 288? 128025504 Calculate the lowest common multiple of 1080900 and 24020. 1080900 Find the common denominator of 43/859025 and 187/5850. 201011850 Calculate the common denominator of -59/26766480 and -77/10. 26766480 Calculate the lowest common multiple of 140177 and 981239. 981239 What is the common denominator of -61/222228 and -31/7162? 795798468 Find the common denominator of 67/14296906 and -23/15248. 114375248 What is the lowest common multiple of 31627277 and 41? 31627277 Calculate the lowest common multiple of 4431 and 2725. 12074475 What is the smallest common multiple of 1521 and 2107761? 1068634827 What is the lowest common multiple of 8133700 and 79840? 65069600 Calculate the least common multiple of 1016 and 9297012. 2361441048 Find the common denominator of 41/174 and 29/442632. 12836328 What is the least common multiple of 39591 and 188244? 9976932 Find the common denominator of -27/1891510 and 41/39532559. 395325590 Find the common denominator of -115/45376786 and -28/35653189. 499144646 Calculate the lowest common multiple of 91614 and 36. 549684 What is the smallest common multiple of 22 and 702134? 7723474 Calculate the common denominator of 173/14407140 and -179/28814280. 28814280 Calculate the least common multiple of 9850932 and 231539. 108360252 Calculate the common denominator of -73/604710 and 44/3729045. 22374270 Find the common denominator of 33/3945640 and -23/88. 43402040 What is the common denominator of 29/293370 and 41/909447? 9094470 What is the common denominator of 41/53970 and -121/917490? 917490 Calculate the least common multiple of 861 and 29790. 8549730 Calculate the least common multiple of 48550 and 16943950. 16943950 Calculate the common denominator of 47/128183358 and -115/18. 384550074 What is the smallest common multiple of 652714 and 20? 6527140 Calculate the common denominator of 49/36548343 and 7/46917. 36548343 Find the common denominator of -37/7 and -14/67243005. 470701035 Calculate the common denominator of -11/4130 and 71/4494266. 22471330 Calculate the least common multiple of 2269524 and 781851018. 1563702036 Calculate the common denominator of 1/5060253 and 20/2315709. 136626831 Calculate the common denominator of -13/2541744 and -79/334440. 12708720 Calculate the lowest common multiple of 1215848 and 38. 1215848 Calculate the common denominator of -5/11398176 and 46/3249. 216565344 Find the common denominator of 45/136 and -137/16968. 288456 What is the least common multiple of 39748 and 151670? 5763460 Calculate the lowest common multiple of 558936 and 36. 558936 What is the lowest common multiple of 21476 and 13104? 773136 Calculate the lowest common multiple of 8292396 and 9674462. 58046772 Calculate the lowest common multiple of 20149756 and 6. 60449268 Calculate the common denominator of -36/537053 and 15/341761. 3759371 What is the common denominator of 149/4832514 and 67/708? 570236652 What is the common denominator
{ "pile_set_name": "DM Mathematics" }
13, -5, -19 Put -463, 92, -4, 2 in descending order. 92, 2, -4, -463 Put -3, -18/23, -78/11, 1, -0.2 in decreasing order. 1, -0.2, -18/23, -3, -78/11 Sort 785, -3/5, 0, 1/4, 0.4 in increasing order. -3/5, 0, 1/4, 0.4, 785 Put 12, 1/3, -0.3, 5, -0.4 in decreasing order. 12, 5, 1/3, -0.3, -0.4 Put 4, -54, -5, -2, 110 in descending order. 110, 4, -2, -5, -54 Put -75, 3, 1, 14, -3 in decreasing order. 14, 3, 1, -3, -75 Sort 4, 23, -21, 5 in decreasing order. 23, 5, 4, -21 Sort 3, -21, 342. -21, 3, 342 Put 9, 1/26, -89, -2, -0.5 in ascending order. -89, -2, -0.5, 1/26, 9 Put 0, 1773, -0.3 in ascending order. -0.3, 0, 1773 Sort -0.5, -1/4, 1/2, -9878, -5. -9878, -5, -0.5, -1/4, 1/2 Sort -13, 8, -2099 in decreasing order. 8, -13, -2099 Sort 4, 8, 3, -7636. -7636, 3, 4, 8 Sort 0, -217, 2, 1 in increasing order. -217, 0, 1, 2 Sort -1, -3/44, 119/2 in decreasing order. 119/2, -3/44, -1 Put 4/9, 13, 0.98, 0, 1.3 in descending order. 13, 1.3, 0.98, 4/9, 0 Sort -150.6, -4, -178, -0.3 in descending order. -0.3, -4, -150.6, -178 Put -4, 8.5, -11244 in decreasing order. 8.5, -4, -11244 Put -8, -6703, -2, 3 in increasing order. -6703, -8, -2, 3 Sort -733, -4, 5 in decreasing order. 5, -4, -733 Sort 18, -3, 74, 8 in ascending order. -3, 8, 18, 74 Put 32, 2, -30 in decreasing order. 32, 2, -30 Sort -3, -1, 1045. -3, -1, 1045 Sort 4/5, -2, -1/3377, -4, 0.05 in ascending order. -4, -2, -1/3377, 0.05, 4/5 Sort 0.1, -588, -3/4, -3, 23. -588, -3, -3/4, 0.1, 23 Sort 72, -2, 14, -15 in descending order. 72, 14, -2, -15 Put -55, 19, 0.0278 in decreasing order. 19, 0.0278, -55 Sort 2, 5, -1/2, 2/3, 92, -0.024. -1/2, -0.024, 2/3, 2, 5, 92 Sort -5, 5, -4161 in increasing order. -4161, -5, 5 Sort 5, 0, 2.9, -1/8 in decreasing order. 5, 2.9, 0, -1/8 Put 2, 5, 8, -1, -6, -50 in descending order. 8, 5, 2, -1, -6, -50 Sort 3, 1, 4, -11538. -11538, 1, 3, 4 Sort 0, -5, 5, 13, -2 in ascending order. -5, -2, 0, 5, 13 Sort -2689, 1, -4. -2689, -4, 1 Put 0, 3, -5, -13, 1, -20 in descending order. 3, 1, 0, -5, -13, -20 Put -2, 7, 1/4, -75.1, 3 in decreasing order. 7, 3, 1/4, -2, -75.1 Sort 4, 3, -1, -10, 236. -10, -1, 3, 4, 236 Sort -23894, -5, 3 in increasing order. -23894, -5, 3 Sort -0.4, -21, -5/8, 0.036 in ascending order. -21, -5/8, -0.4, 0.036 Put 2, -1, -26, 4 in ascending order. -26, -1, 2, 4 Sort -3/16, 2/3, 9/8 in ascending order. -3/16, 2/3, 9/8 Sort 0.2, 138, -1.3, 1/4. -1.3, 0.2, 1/4, 138 Put -31, 10/3, -0.2, 0.3, -10 in increasing order. -31, -10, -0.2, 0.3, 10/3 Put 0, 1, -0.03, 358.9 in ascending order. -0.03, 0, 1, 358.9 Put -0.3, 5, -1, 532, -3, -3/5 in descending order. 532, 5, -0.3, -3/5, -1, -3 Put -5, 54, 1678 in ascending order. -5, 54, 1678 Put 0.3, -1/3, -3, 0, 95, 21 in ascending order. -3, -1/3, 0, 0.3, 21, 95 Put -2/259, -1, 4, 1/2, 0 in ascending order. -1, -2/259, 0, 1/2, 4 Sort -10310, 5, 4, 3, -3. -10310, -3, 3, 4, 5 Put -5, -1378, -3, 3 in increasing order. -1378, -5, -3, 3 Put 11, 0.65, -4, -161 in descending order. 11, 0.65, -4, -161 Put 3, 0, 24.1, -1, 1/21 in ascending order. -1, 0, 1/21, 3, 24.1 Sort 2849, -4, -5, 8, 5 in increasing order. -5, -4, 5, 8, 2849 Sort -302, -5, 13, -26 in ascending order. -302, -26, -5, 13 Sort 12, -5, 4, 0, 18. -5, 0, 4, 12, 18 Put 3, 5, -2, -1, 88 in descending order. 88, 5, 3, -1, -2 Put -6580, -1, -1/3 in ascending order. -6580, -1, -1/3 Put -2, -0.079, -1/3, 1/9 in increasing order. -2, -1/3, -0.079, 1/9 Sort -1442, -4, 459 in descending order. 459, -4, -1442 Put -160, 1/8, 0.1, 0, -0.4, 1/4 in decreasing order. 1/4, 1/8, 0.1, 0, -0.4, -160 Put -2.78, 0.1, 1, -0.1, 2/9, 0.2 in increasing order. -2.78, -0.1, 0.1, 0.2, 2/9, 1 Sort -0.1, 3, -2/31, 6, 10 in decreasing order. 10, 6, 3, -2/31, -0.1 Sort -8, 5, -4, -3, 2270 in decreasing order. 2270, 5, -3, -4, -8 Sort 4, -2, -1, 5, -3, 5902 in descending order. 5902, 5, 4, -1, -2, -3 Sort -1727, -1, 2, -5, 3. -1727, -5, -1, 2, 3 Sort -10, 19, -9, 1, 8 in ascending order. -10, -9, 1, 8, 19 Sort -14, 0, -5, -4, -53 in decreasing order. 0, -4, -5, -14, -53 Put 58820, -1, 2, -3 in descending order. 58820, 2, -1, -3 Put -7, -0.1319, -0.04 in decreasing order. -0.04, -0.1319, -7 Put 0, -13, 1, 4, 120, -1 in decreasing order. 120, 4, 1, 0, -1, -13 Sort -5, 0, -426, 1, 23, -2 in increasing order. -426, -5, -2, 0, 1, 23 Put 202, -257, 2/3, -2/7 in ascending order. -257, -2/7, 2/3, 202 Put 4, -50, -59 in decreasing order. 4, -50, -59 Put 5, 1236, 3, -3, -4 in increasing order. -4, -3, 3, 5, 1236 Sort -2809, -1/6, -0.3. -2809, -0.3, -1/6 Put -3, -727548, 2 in increasing order. -727548, -3, 2 Sort 1, 0.4, -0.33 in increasing order. -0.33, 0.4, 1 Sort -5, 2, -3, 436, -1, 7 in increasing order. -5, -3, -1, 2, 7, 436 Sort -0.3, 11, -33/52 in descending order. 11, -0.3, -33/52 Put -471, 28, 3, 5, 4 in ascending order. -471, 3, 4, 5, 28 Sort 4, 7, 8, -26 in decreasing order. 8, 7, 4, -26 Put -109043, 3, 1, 0.4, -1 in decreasing order. 3, 1, 0.4, -1, -109043 Put 186, 10, 0, -5, 1 in descending order. 186, 10, 1, 0, -5 Put -2, 1, -6, 3, -303 in increasing order. -303, -6, -2, 1, 3 Sort -2, -5, 28301, 4. -5, -2, 4, 28301 Sort 56, -526, 6 in decreasing order. 56, 6, -526 Sort 3573, 0, 2/3 in descending order. 3573, 2/3, 0 Put 19, 14, 453 in decreasing order. 453, 19, 14 Sort -8780, -42, -4, 3 in decreasing order. 3, -4, -42, -8780 Sort -5, 577, 5, 2 in ascending order. -5, 2, 5, 577 Sort 87, 4, 30, 0, 2 in decreasing order. 87, 30, 4, 2, 0 Put -3, 4, -2, -1202, 3 in increasing order. -1202, -3, -2, 3, 4 Sort 1, 1920, -3 in descending order. 1920, 1, -3 Sort -3, 5, -4648, 1, 4 in descending order. 5, 4, 1, -3, -4648 Put -1/41, 3, -2, 0.579 in ascending order. -2, -1/41, 0.579, 3 Sort -5, -1803, -4, -3 in increasing order. -1803, -5, -4, -3 Put 7, -3, -2, 1, -37, -0.2 in ascending order. -37, -3, -2, -0.2, 1, 7 Put -5, 18, 36, -2 in ascending order. -5, -2, 18, 36 Put 29599, -0.4, -0.1 in descending order. 29599, -0.1, -0.4 Sort 2, 1, -2, 537, -3, 26 in descending order. 537, 26, 2, 1, -2, -3 Sort 2, 4, 399/40, 5 in descending order. 399/40, 5, 4, 2 Put -2, 4, -21, 27 in descending order. 27, 4, -2, -21 Sort 3, 1, 4328, -9 in decreasing order. 4328, 3, 1, -9 Sort -34, 807, 45 in descending order. 807, 45, -34 Put 2, 0.4, 19, -556, 5 in increasing order. -556, 0.4, 2, 5, 19 Put 0.4, 0.25, -1/3, -57 in decreasing order. 0.4, 0.25, -1/3, -57 Sort -16, -4.986, -0.09 in ascending order. -16, -4.986, -0.09 Put 4, 5, -65, -145, 0 in descending order. 5, 4, 0, -65, -145 Sort 22, -15, -0.06 in descending order. 22, -0.06, -15 Put -2, -5, 0.28, 2/13 in decreasing order. 0.28, 2/13, -2, -5 Sort 6294, -3, 1, 2 in descending order. 6294, 2, 1, -3 Put 4, 277, 39, -4, 1 in decreasing order. 277, 39, 4, 1, -4 Sort -19, -33, -3, 18 in decreasing order. 18, -3, -19, -33 Put -162, 24, -3/11, -0.1 in decreasing order. 24, -0.1, -3/11, -162 Sort 0.1, 147, -4191 in increasing order. -4191, 0.1, 147 Put -4, -952, 4, 0.1 in descending order. 4, 0.1, -4, -952 Put 0.4, 2/3, -152/25 in ascending order. -152/25, 0.4, 2/3 Put -252, 5, 0.2, 81 in decreasing order. 81, 5, 0.2, -252 Sort 36, 4, 16224 in increasing order. 4, 36, 16224 Sort -30, 7, -3, 18, 1, -9. -30, -9, -3, 1, 7, 18 Put 2, 24, -3, 0.2, -2/17, 4 in decreasing order. 24, 4, 2, 0.2, -2/17, -3 Sort 101, 1, -8.9, 0.4 in decreasing order. 101, 1, 0.4, -8.9 Put 0, -3, -197, -2 in ascending order. -197, -3, -2, 0 Put 0, -51, 9, -7 in decreasing order. 9, 0, -7, -51 Sort 0.8, -1/3, -2, -5, -0.21, 1 in descending order. 1, 0.8, -0.21, -1/3, -2, -5 Sort -47, 0, -9. -47, -9, 0 Put 3, -91, -3, 1, 4 in descending order. 4, 3, 1, -3, -91 Put -0.5, 4/7, -78, 2/11, -1 in ascending order. -78, -1, -0.5, 2/11, 4/7 Sort 207, -0.4, 141 in decreasing order. 207, 141, -0.4 Sort 2, 5, -3, -5, -273, -13. -273, -13, -5, -3, 2, 5 Sort 28, -26, 1 in ascending order. -26, 1, 28 Sort 61, 5, -83, -4. -83, -4, 5, 61 Sort 3, 19, 273, 0, 2 in descending order. 273, 19, 3, 2, 0 Put 4, 1.5, -0.02, 0, -4 in decreasing order. 4, 1.5, 0, -0.02, -4 Sort -1248, -196, -1. -1248, -196, -1 Sort -2/93, 1, 0.3, 0.7, -72 in increasing order. -72, -2/93, 0.3, 0.7, 1 Sort -1.438, 35, 2. -1.438, 2, 35 Put -11, 5, -12, 222 in ascending order. -12, -11, 5, 222 Put -6, 2/13, -424, -3/4, 0 in decreasing
{ "pile_set_name": "DM Mathematics" }
*f = -2*o + 2, 6*o - 2*o + 4*f - 28 = 0 for o. 4 Solve -c + 3 = -6*j + 25, -c - c = -622*j + 617*j + 23 for c. -4 Solve -5*o + 6360 = 235*l, -5*o - 40 - 28 = -l - 56 for l. 27 Solve 0 = -3*n - 2*n + 9*l + 146, 3*n + 10*l + 16 = 17*l - 9*l for n. 4 Solve 2*u = -1146*p + 1020*p + 74, -5*p = -6*u + 222 for u. 37 Solve 8*o = 2*m + 4*o - o + 13, 0 = -58*m + 34*m - o + 27 for m. 1 Solve -6*n - 875459 + 875495 = 2*y, -y + 14 = 2*n for n. 4 Solve 0 = -5*j - 65*i + 15, -84365*j - i = -84366*j - 11 for j. -10 Solve 2*w - 89 + 48 = 5*f, -w + 18 = -5*f for w. 23 Solve 7*m + y + 13 = 8*m - m + 2*m, -3*m + 12 = 6*y for m. 6 Solve 61 = 3*y + 4*q, -3*q = -34*y - 387981 + 388914 for y. 27 Solve 2*g = 2*c - 6*c + 70, 42*g - 7 = 49*g for c. 18 Solve z + 4*z = -4*t + 48, -4086 + 4050 = -3*t + 4*z for t. 12 Solve -4*b + a - 974 = -941, 0 = -2*b - 3*a - 3*a + 120 for b. -3 Solve 13*n - 26 = 0, -7*t + 3*t - 23 + 23 = -3*n - 46 for t. 13 Solve -5*p + 20425 - 20350 = 5*u, 6*p - 2794 = -344*u for p. 7 Solve 5*z - 220 = -133*a + 121*a - 273, 4*z + 8 = -a for z. -1 Solve -a = 4*w - 162040 + 162011, 26*w + 4*a = 166 for w. 5 Solve 2*s - 6 = 4*s, 9*i + 48 = 14*i - 2*i - 4*s for i. 12 Solve 225*j - 220*j = 5*a - 80, -16*a - j = 2*j - 237 for a. 15 Solve 488*v = 77*y + 493*v + 2171, 2*y + 65 = -3*v for y. -28 Solve 3*d - 38*s + 15 = -33*s, 0 = 6*d - 3*s + 30 for d. -5 Solve 253*g - 242*g = -4*u - 68, -2*u = -3*g - 34 for g. -8 Solve -3*l - 90 = 240*z - 237*z, 10*z + 347 = 6*l - z for l. 1 Solve -4*a - 96 = -10*g + 8, -6*a - 4*g + 687 = 653 for a. -1 Solve 21*n + 30*n - 56*n + 5*k + 40 = 0, 3*n = k + 13 + 3 for n. 4 Solve -2*y = -3*s + y, 190*s - 193*s = -4*y + 3 - 6 for s. -3 Solve 98 = 2*b - 12*n, -5*b - 7*n + 20767 = 20707 for b. 19 Solve -3*p - 190 + 57 = 6*c - 2*p, 0 = -2*p + 3 - 5 for c. -22 Solve 2*t + 8*k - 5*k - 25*k + 250 = 0, -3*t - 3*k = -21 for t. -4 Solve -d + 1 = 3*t + 12, 1777*d - 1782*d - 168*t + 5 = -165*t for d. 4 Solve 2*p - 86 = -630*z + 625*z, -4*z - 3*p = -66 for z. 18 Solve 18*x - 39*x - 21*w + 275 = -22*x, -63 = -x - 5*w for x. -2 Solve -12 = o - 5*o + 4*z - 36, -4*o - 8*z + 30 + 18 = 0 for o. 0 Solve 3*p = 219*g - 507, -2*p + 61*g = 58*g + 52 for p. -23 Solve 0 = -5*k + 3*x - 80, 0 = -435*k + 440*k - 20*x - 5 for k. -19 Solve 2*g = -4*k - 2, 2*g - 59521 + 59533 = k for k. 2 Solve -5*m + 455 = 10*v, -2*m = -96*v + 101*v - 226 for m. 3 Solve -2*s + 1343 = o + 1347, 22*o = 3*s - 41 for o. -2 Solve -83*w + 86*w + 3*s = -24, -54 = 3*w - 7*s for w. -11 Solve -4*f - 90558*b + 31 = -90561*b, 0 = -8*f - 4*b - 108 for f. -5 Solve 4*b = 4*v - 54 + 98, -b = -25*v - 155 for v. -6 Solve -4*z - 59*c + 369 = 48*c, 5*z = -c + 63 for z. 12 Solve 2*p - 144 = -18*t + 3*t, 2*t + 20*p - 24*p - 32 = 0 for t. 10 Solve 3*y + 43*o = 29*o - o + 63, 25 = -5*y + o for y. -4 Solve -4*k + 5*q - 394708 + 394447 = 0, 0 = k + 3*q + 78 for k. -69 Solve 2*q = 2*o + 3*o - 10, 909*q - 4*o = 910*q + 5 for q. -5 Solve 0*k + 5*y + 5*y - 658 = 2*k, 2*k - 252 = -4*y for k. -4 Solve 0 = 14935*b - 14930*b + 20, -d - 2*b = 8 for d. 0 Solve 5*i - 126352696 = 4*k - 126352685, -2*k = -2*i + 4 for k. 1 Solve 0 = -3*s + 5*p + 94, -3609776*s + 3*p - 54 = -3609779*s for s. 23 Solve -108*n + 5*k + 175 - 8 = 19, -2*n = 3*k + 22 for n. 1 Solve 4*p - 13933*i + 13938*i + 32 = 0, 4*i + 49 = -5*p for p. -13 Solve 5*k + 3*z - 32 = -50 + 31, -k + 35*z - 33 = 0 for k. 2 Solve 4*p + 4*p = 3*p - 31*g + 289, 20 = 5*g for p. 33 Solve -5*g - 46 + 20 = -4*b, -5*b - 3*g + 14 = 0 for b. 4 Solve 3*z - 8 = -12*y + 17*y, 4*y - 7*z + 16*z - 21*z = 32 for y. -4 Solve 2586*y - 2584*y + 2*w = 122, -2*y + 5*w + 157 = 0 for y. 66 Solve -7*t = k + 1106 - 1145, -2*k - t + 2*t + 3 = 0 for k. 4 Solve -5*t = 2*b - 41, -9988218*t = -5*b - 9988216*t + 1 for b. 3 Solve -3*w - 102 + 58 = -53, -y + w - 5 = 0 for y. -2 Solve 0 = 2*c + 4*q + 66, -24*q + 19*q - 82 = 3*c - c for c. -1 Solve -15*p + 133 = -4*d - 13*p + 179, -2*p - 40 = 2*d for d. 1 Solve 585*h - 589*h + 56 = 4*w, 13*w = -3*h + 9*w + 56 for h. 0 Solve -k - 3*l = -63, 15661 - 15724 = -5*k - 3*l for k. 0 Solve 3*v - 3*t = 2*v + 7, -516*v + 3*t + 19 = -512*v for v. 4 Solve -2*c = -2*m - 54, 154 = 846*m - 850*m + 6*c for m. -4 Solve 32*k - 17*k - 11*k - 11*a - 223 = 0, -k + 19 = -a for k. -2 Solve 95*q - 91*q + 13*s - 42 = 11, 0*s = -6*s + s + 25 for q. -3 Solve 0 = 19104*z - 19109*z + 3*i + 23, -79 = 12*z + 5*i for z. -2 Solve -632428*b - 13*j - 93 = -632431*b, -b - 7 = 2*j for b. 5 Solve -v = -4*k - 34, 148*v - k - 9 = 144*v + 7 for v. 2 Solve k - 2*k = u - 5*k - 36, 5*u + 225768*k - 225807*k - 237 = 0 for u. 24 Solve -6*q = -3*g + 24, -40519*q + 40522*q = -4*g + 54 for g. 12 Solve -743*u + 16*y - 5*y = -742*u + 71, -y - 14 = 5*u - u for u. -5 Solve j - 4*u + 1734323 - 1734251 = 0, -5*j + 2*u - 288 = 0 for j. -56 Solve -3*s + 3*l = -l - 19, 23*l - 6*l + 65 = -3*s for s. 1 Solve -657*i + 4*n + 23 = -656*i, -5*i + 7*i + 14 = -4*n for i. 3 Solve -19*i + 3*i + 0*d = -2*d + 266, 2*i + 15*d + 79 = 0 for i. -17 Solve 19*h = -4*y - 552, -3*y - 2*h - 66 = 5 for y. -5 Solve 11*l = 15*l - 0*l - 2*l + 8, -4*b + 6*b + l + 30 = 0 for b. -13 Solve -4*y = -v + 123 - 14 + 27, 5*y + 27*v = -170 for y. -34 Solve 0 = 3*n - 2*l + 38, -3*n - 59 = 189985833*l - 189985838*l for n. -8 Solve -n - 13 = 2*x, 3*x - 18*n - 3 + 120 = 0 for x. -9 Solve 3*w - 5*l = -3 - 3 + 19, -10*w + 18 = -4*l for w. 1 Solve a - 2*i = 1 - 10, -20*a - i - 43 = -18*a for a. -19 Solve -280*q - 10*g - 50 = -275*q, 11*g = 2*q + 20 for q. -10 Solve -728*d + 4*z = -729*d - 28, -3*d = z + 29 for d. -8 Solve 0*t - 3*t - 537 = -3*l - 10*l, 97*t - 100*t + 135 = 3*l for l. 42 Solve -5*b - 269*k = -272*k - 47, 5*k + 45 = -34*b + 34*b for b. 4 Solve 7*y + 2*h + 257 - 20 = 0, 5*y = 2*h - 183 for y. -35 Solve -2*j + 0*y - 133 + 287 - 133 = 3*y, 0 = 8*y - 56 for j. 0 Solve -4*p + 13*f = -139, 669*f + 12 = 665*f for p. 25 Solve 3*s + 55519*u - 55518*u = 12, -43 = 2*s - 5*u for s. 1 Solve 245086 - 245016 = -10*y - 5*h, -4*y - 4*h = 40 for y. -4 Solve 4*y - 12 = 0, 83*p - 2*y + 394 + 110 = -0*y for p. -6 Solve 6*v = 30, -27 = -2*n - 21927*v + 21928*v for n. 16 Solve 5*b - 3*a = -7, 2*b = 39*a + 209*a - 846 - 144 for b. 1 Solve 5*g + 29 = 319*f - 317*f - 1, -f + 4*g = -24 for f. 0 Solve -61*t - 66*t = 60*t - 180*t - 5*y + 21, 2*y = t + 12 for t. 2 Solve 2*a + 2*i = -3*i + i - 12, -4*a + 1502*i = 1490*i - 16 for a. -2 Solve -2*n - u = 12, 6*u + 20 = 19*n - 18*n for n. -4 Solve 81 = -6*t + 2*w - 53, 21*t + 550*w + 488 = -t + 554*w for t. -22 Solve q + 52*h + 2 - 5 = -3*q + 57*h, 3*h = -3*q + 2*h + 7 for q. 2 Solve -302 - 2 = 179*w - r + 762, 271*w + 3*r = 268*w - 42 for w. -6 Solve 974459*h + 2*j + 3 = 974456*h, 60*h + 5*j = -270 for h. -5 Solve -20*m + 13 - 26 = -2*w + 11, -5*w - 40 = 0 for m. -2 Solve -4*s = -5*s + z + 1, 3*s - 8*s + 0*s + 29 = z for s. 5 Solve 5*y + 18*n = -0*y + 105, -5*y - 77*n + 5 = -79*n for y. 3 Solve 2*m - 11660 = -x - 11665, 4*x = 2*m + 20 for m. -4 Solve 15*j - 5*o = 115, -10*j + 0*j - 7*o - 7 = -1 for j. 5 Solve -309515*s = 3*a - 309512*s - 18, -2*a = -33*s - 12 for a. 6 Solve -9*f + 2606*y - 2609*y - 226 = 11*f, 4*y + 248 = 0 for f. -2 Solve -35*i + 4*y = -35*i + 12, 0 = -2*i + i - 18*y + 52 for i. -2 Solve 4*u + 1193 = 79*a, a + 27217 - 27242 = 5*u for u. -2 Solve -3*d - 9 = -y, -y - 19535 = 3*d - 19538 for y. 6 Solve -6*h + 5*d = 184, 7*h = 5*d + 8832 - 9015 for h. 1 Solve c = 19*t + 76, 321*c - 20 = 322*c + 5*t for c. 0 Solve -12*n + t + 9 = 0, 9*n - 27 = -30862070*t + 30862073*t for n. 0 Solve -48 = 11*n + 30*u + 31 + 3, 0 = -5*n + u - 8 for n. -2 Solve 4*u + 17*q = 12 + 37, -1570*q = 9*u - 1567*q + 66 for u. -9 Solve 6*x + 28 = 2*n, -5866851*n = -5866849*n - 5*x - 24 for n. 2 Solve 0 = -3*f + 4*d - 23, 2*f - 3732*d = -3737*d - 23 for f. -9 Solve 9*r = 2*k + 2*k + 112, r + 8*k + 59 = 4*r - 15*k for r. 12 Solve 787*k - 797*k - 4*p = 460, 0 = -k - 4*p - 442 for k. -2 Solve 2*g = -g + 4*t + 38, 54*g + 4*t - 32 = 50*g for g. 10 Solve -17073 = 4*b + 3*i - 17029, 0 = -b - 14*i - 117 for b. -5 Solve 0 = -s + 2*s - 4*t - 5, -7*s + 6253*t - 31 = 6258*t for s. -3 Solve 2*h = -u - 80, -3*u = 2*h - 700 + 552 + 388 for u. -80 Solve -2*o = -10*m - 320, -5*m - 101 = -2*o + 25 - 19 + 53 for o. 0 Solve 330 = -51*w - 8 + 32, 0 =
{ "pile_set_name": "DM Mathematics" }
70*g**5 + 0*g - 1/54*g**4 - 5*g**2 - 1/27*g**3 + q. Let i(u) = 0. What is u? -1 Let j(w) be the first derivative of 2/5*w**4 + 32/5*w - 2/5*w**5 - 22 + 1/15*w**6 + 32/15*w**3 - 32/5*w**2. Find s, given that j(s) = 0. -2, 1, 2 Suppose w + 2*w - 15 = 0, 5*d - 35 = w. Factor -4*c + c**4 - 7*c**3 + d - 12*c**2 - 19*c**3 + 30*c**3 + 3*c**4. 4*(c - 1)**2*(c + 1)*(c + 2) Let n(p) be the first derivative of -7*p**6/120 - p**5/20 + p**4/16 - 22*p - 45. Let m(k) be the first derivative of n(k). Factor m(h). -h**2*(h + 1)*(7*h - 3)/4 Solve -5/3*x**3 + 2/3*x - 1/3*x**2 + 0 - 2/3*x**4 = 0. -2, -1, 0, 1/2 Suppose 3*o**2 - 18*o**2 + 7*o**2 + 8*o**2 + 4*o**2 - 4*o = 0. Calculate o. 0, 1 Suppose -9*a = -295 + 241. Let s(b) be the first derivative of -1/13*b**2 - 2/39*b**3 + 0*b + a. Determine x, given that s(x) = 0. -1, 0 Let a be (0 - (-3)/1) + 1. Suppose 0 = n + a*l, 2*n + l - 21 = -0*l. Determine p so that -n*p**4 + p**3 - 5*p**3 + p**3 + p**2 + 5*p**2 + 9*p**5 = 0. -2/3, 0, 1 Solve 0*n**3 + 4/7*n**5 - 8/7*n**2 - 4/7*n + 8/7*n**4 + 0 = 0. -1, 0, 1 Let t(g) be the first derivative of -5/9*g**3 + 5/3*g**2 + 5*g - 15. Suppose t(j) = 0. What is j? -1, 3 Let q(r) = -r**3 - 13*r**2 - 12*r + 16. Let k be q(-12). Let d be 11/11 - -2*(-6)/k. Find g such that -3/4*g**4 + 0 - d*g**5 + 0*g - 3/4*g**3 - 1/4*g**2 = 0. -1, 0 Let g(h) be the first derivative of -h**7/3780 - h**6/540 + h**4/27 + h**3 - 18. Let j(y) be the third derivative of g(y). Solve j(t) = 0. -2, 1 Let t(r) = -10*r**4 - 70*r**3 - 190*r**2 - 155*r. Let h(v) = -5*v**4 - 36*v**3 - 96*v**2 - 78*v. Let n(i) = 5*h(i) - 2*t(i). Factor n(q). -5*q*(q + 2)**2*(q + 4) Suppose x + 2*r = -3, x - 11 = 4*r + r. Let f = 3 - x. Factor f*t**2 + 5*t**2 - 12*t - 3*t**2. 4*t*(t - 3) Suppose 4*z + 15 + 5 = 0, 2*z + 22 = 3*i. Factor 7*p**4 - i*p**4 - 2*p**3 + 4*p**4 + 4*p**3. p**3*(7*p + 2) Find f such that 8*f**2 + 0 + 1/3*f**4 - 3*f**3 - 20/3*f = 0. 0, 2, 5 Let -4*n**2 - n**2 + 40*n - 1913 + 1833 = 0. What is n? 4 Let v(u) = 44*u**2 - 2752*u + 155984. Let a(i) = -14*i**2 + 917*i - 51994. Let t(y) = 16*a(y) + 5*v(y). Solve t(p) = 0. 114 Let w(d) = -5*d**2 - 2*d - 137. Let u(q) = 2*q**2 + 46. Let k(r) = -11*u(r) - 4*w(r). Factor k(x). -2*(x - 7)*(x + 3) Let v(u) be the first derivative of -1/3*u**3 + 7 - 3*u - 2*u**2. Factor v(j). -(j + 1)*(j + 3) Let l be (2/7)/(10/140). Factor -5*a + 3*a + l*a + a**2 - 4*a. a*(a - 2) Suppose 0 = -3*o + 3*h + 93, -2*h - h - 12 = 0. Factor 12*k**2 + 17*k**2 + 8*k + 8 - o*k**2. 2*(k + 2)**2 Let a(s) = -s**3 - 66*s**2 + 60*s - 465. Let l be a(-67). Let u(h) be the second derivative of 27/20*h**5 - 9/2*h**l + 0 - 8*h - 2*h**3 + 12*h**2. Factor u(m). 3*(m - 2)*(3*m - 2)*(3*m + 2) Let z be 14 - ((-40)/(-14) - (-8)/56). Factor -z - 34 - 5*i**2 - 17*i - 13*i. -5*(i + 3)**2 Let y(x) be the first derivative of x**6/36 + x**5/10 - x**4/4 - 4*x**3/9 - 106. Factor y(u). u**2*(u - 2)*(u + 1)*(u + 4)/6 Let s(y) be the first derivative of y**4/8 - 3*y**2/4 - y - 45. Solve s(g) = 0 for g. -1, 2 Suppose -2*c + 55 = -3. Factor 15*d**2 + 18*d**2 + 20*d - c*d**2. 4*d*(d + 5) Suppose -5*r - 3*k + k = -38, -2*r - k = -15. Suppose -z = -3*z + r. Factor -z*n + 1 + 8 - 2*n**2 + 16*n + 5*n**2. 3*(n + 1)*(n + 3) Suppose 0 = -l - 2*k - 3*k + 245, -2*k = 5*l - 1156. Factor 108*w - 10*w**2 - 2*w**3 + 114*w - l*w. -2*w*(w + 1)*(w + 4) Suppose -5*j - 4*x - 132 = 0, -7*j + 4*x - 84 = -3*j. Let g be 6/j + (-9)/(-4). Factor -2*l**g + 12 - 10 - 6 + 6*l. -2*(l - 2)*(l - 1) Factor -1/3*q - 1/2 + 1/3*q**3 + 2/3*q**2 - 1/6*q**4. -(q - 3)*(q - 1)*(q + 1)**2/6 Let c(g) be the second derivative of -g**4/72 + g**3/18 - g**2/12 + 199*g. Factor c(z). -(z - 1)**2/6 Let s(t) = -t**2 + 4*t + 45. Let x be s(9). Let f(z) be the first derivative of z**3 + 0*z - 3/2*z**4 + 3/5*z**5 + x*z**2 - 1. Find c, given that f(c) = 0. 0, 1 Solve 3/4*i**2 + 0 - 3/4*i**4 - 9/4*i**3 + 9/4*i = 0. -3, -1, 0, 1 Suppose 5*w + 46 = 66. Let y(l) be the third derivative of 1/30*l**w + 0 - 6*l**2 - 1/300*l**5 - 1/10*l**3 + 0*l. Factor y(m). -(m - 3)*(m - 1)/5 Let n = -1197/10 - -241/2. Factor -4/5*c**5 - 8/5*c**3 + 12/5*c + 12/5*c**4 - 8/5*c**2 - n. -4*(c - 1)**4*(c + 1)/5 Let s be 2/(-14)*-16 - (-26)/(-91). Let w(k) be the first derivative of 1/3*k**3 + 0*k - 5 - 3/2*k**s. Factor w(n). n*(n - 3) Let s be (-119)/(-7) - 9 - 6. Suppose -2/11*b**3 + 2/11*b**s + 0 + 0*b = 0. What is b? 0, 1 Let v(t) be the first derivative of -t**4/4 - 43*t**3/3 + 458. Suppose v(i) = 0. What is i? -43, 0 Let g(z) = -2*z**4 - 8*z**3 + 8*z + 4. Suppose 15*h = 12*h + 6. Let w(s) = s**3 - s**2 - s. Let r(o) = h*w(o) + g(o). Solve r(v) = 0 for v. -2, -1, 1 Let h(r) = r**2 + 11*r + 12. Let c be h(-11). Suppose 26*i + 2*i - 32 - c*i**2 + 10*i**2 - 66 = 0. What is i? 7 Let n(l) be the third derivative of -13*l**2 - 1/4*l**5 + 0*l + 25/8*l**4 + 1/120*l**6 + 0 - 125/6*l**3. Find p, given that n(p) = 0. 5 Let s(c) be the first derivative of c**6/10 - 24*c**5/25 + 15*c**4/4 - 38*c**3/5 + 42*c**2/5 - 24*c/5 - 201. Factor s(m). 3*(m - 2)**3*(m - 1)**2/5 Let v(k) = -2*k**2 - 2*k + 1. Let s(m) = 9*m**5 + 15*m**4 - 48*m**3 - 34*m**2 + 2*m - 1. Let p(f) = -s(f) - v(f). Solve p(z) = 0. -3, -2/3, 0, 2 Let f = -6/37 - -92/111. Let i(h) be the second derivative of 5/36*h**4 + 4/9*h**3 + 0 + 4*h + 1/60*h**5 + f*h**2. Suppose i(q) = 0. What is q? -2, -1 Let l(v) be the second derivative of -v**4/30 + 14*v**3/15 - 13*v**2/5 + 35*v. Factor l(f). -2*(f - 13)*(f - 1)/5 Let w(q) be the second derivative of -q**10/136080 - q**9/68040 + q**8/15120 + 23*q**4/12 - 15*q. Let k(b) be the third derivative of w(b). Factor k(v). -2*v**3*(v - 1)*(v + 2)/9 Let l(z) be the third derivative of z**5/30 + z**4/12 - 2*z**3 - 14*z**2 - 8. Find t, given that l(t) = 0. -3, 2 Let l = -55 - -58. Let x be 6/(6/2) + 2. Find v such that 9*v**l + v**4 - 7*v**3 - 10*v**4 + x*v**3 - v**2 = 0. 0, 1/3 Factor -3/5*p**4 - 7/5*p - 5*p**3 + 0 - 29/5*p**2. -p*(p + 1)*(p + 7)*(3*p + 1)/5 Let b be 3 - (11 - (-3)/3). Let r = b + 11. Suppose -3*z**3 + 2*z**r - 8*z**2 + 3*z - 2*z - 4*z = 0. What is z? -1, 0 Suppose -20 = -5*v - 0. Let q(s) = s**3 - 5*s**2 + 6*s - 5. Let d be q(v). Let t - 1 - 4*t + 6*t - d*t**2 + t**3 = 0. What is t? 1 Suppose -2*k - 8 = -6*k. Suppose -2*a - 9 = -5*s, k*s - 5*a - 2 = -11. Factor -4*j + 8*j**2 + 3*j**s + j**3 + 8*j. 4*j*(j + 1)**2 Let j be 1*2*3/(-180)*-10. Suppose -1/3*i + 2/3 - j*i**2 = 0. Calculate i. -2, 1 Let b be (3/(-6)*-1)/2*4. Let k be b/(-3 + 65/10). Factor k*u - 2/7*u**5 - 4/7*u**4 + 0 + 0*u**3 + 4/7*u**2. -2*u*(u - 1)*(u + 1)**3/7 Let y = 2253 - 2253. Let w(q) be the third derivative of -1/15*q**3 + 0 + 10*q**2 + y*q + 1/300*q**5 + 1/120*q**4. Factor w(u). (u - 1)*(u + 2)/5 Let n(j) be the second derivative of j**5/80 + 23*j**4/16 + 51*j**3 + 289*j**2/2 + 332*j. Factor n(b). (b + 1)*(b + 34)**2/4 Let r(d) = -d**4 - 44*d**3 + 194*d**2 + 531*d + 285. Let v(u) = -44*u**3 + 194*u**2 + 530*u + 286. Let i(c) = -2*r(c) + 3*v(c). Factor i(n). 2*(n - 12)**2*(n + 1)**2 Let r(a) be the third derivative of -a**7/252 - a**6/72 + a**5/24 - 3*a**2 - 5. Factor r(c). -5*c**2*(c - 1)*(c + 3)/6 Let s(y) be the second derivative of 0 - 5/3*y**3 - 8*y - 9/10*y**5 - 8/3*y**4 + 2*y**2. Determine n, given that s(n) = 0. -1, 2/9 Let z(x) be the first derivative of -21*x**5/40 + 33*x**4/32 - x**3/8 - 9*x**2/16 + 102. Factor z(g). -3*g*(g - 1)**2*(7*g + 3)/8 Factor -2/11*u**3 + 86/11*u - 24/11*u**2 - 60/11. -2*(u - 2)*(u - 1)*(u + 15)/11 Suppose 6*u - 70 = 20*u. Let l(x) = -47*x**2 + 72*x - 31. Let k(z) = 31*z**2 - 48*z + 21. Let y(f) = u*l(f) - 7*k(f). Factor y(p). 2*(3*p - 2)**2 Let v(x) = -3*x**5 - 3*x**4 + 6*x**3 + 9*x**2 - 3. Let g(u) = 6*u**5 + 7*u**4 - 11*u**3 - 19*u**2 + 7. Let h(l) = -3*g(l) - 7*v(l). Suppose h(n) = 0. What is n? -1, 0, 2 Let j(f) be the second derivative of f**6/90 - f**5/60 - f**4/12 + f**3/18 + f**2/3 - 44*f + 1. Let j(t) = 0. What is t? -1, 1, 2 Let f(y) be the third derivative of -y**8/2240 - y**7/140 - y**6/20 - y**5/5 - 23*y**4/24 + 17*y**2. Let j(l) be the second derivative of f(l). Factor j(g). -3*(g + 2)**3 Let n(d) = 4*d**4 + d**3 + 3*d**2 - 3*d - 3. Let x(v) = 9*v**4 + 2*v**3 + 7*v**2 - 7*v - 7. Let c(u) = -7*n(u) + 3*x(u). Let c(r) = 0. What is r? -1, 0 Let z be ((-20)/(-105))/((-82)/(-81) -
{ "pile_set_name": "DM Mathematics" }
*w + (w - w - w)*(2*w + 0 + 0). -590*w**2 Expand (2*o + o - 9*o + 2)*(-4 + 1 + 10)*(-2*o + o - 3*o) + (-o - 3*o + 3*o)*(3*o + o + 2*o). 162*o**2 - 56*o Expand 0*c**5 - 2*c**5 + c**5 + (3*c**2 + 3*c**2 - 5*c**2)*(14 - 14 + 17*c**3) + 47*c**2 - 2*c**5 - 47*c**2 - 2*c**5 + c**5 - c**5. 12*c**5 Expand (-2*q + 0*q + q)*(-4278*q**2 - 4009*q**2 - 1926*q**2). 10213*q**3 Expand (121*w - 28*w + 18*w)*(0 + 0 - 12)*(w - 2*w + 0*w). 1332*w**2 Expand -9 - 5*m + 9 + 3*m - 5*m - 4*m + (1 - 3 + 1)*(-m + 0*m + 0*m) - 11*m + 16*m + 12*m + 0*m + 2*m - 4*m. 5*m Expand -3*v**4 + 2*v**4 + 2*v**4 + (0*v**3 + 5*v**3 - 3*v**3)*(-v + 3*v - 4*v) - 31*v**2 - 24*v**4 + 31*v**2. -27*v**4 Expand (-150 + 40 + 2)*(35 - 3*j - 13 + 2*j). 108*j - 2376 Expand (-214 - 532*y + 214)*(12*y**4 + 23*y**2 - 23*y**2). -6384*y**5 Expand ((0 - 6 + 4)*(-j - j**4 + j) - 3*j**3 + 3*j**3 + 2*j**4)*(-291 - 5 - 150 - 1 + 2 + 1 + 2 + 0 - 4 + (-1 + 4 - 2)*(-1 - 1 + 1))*(-6 + 6 + j). -1788*j**5 Expand (-9*h**3 + 6*h**4 + 9*h**3)*(38*h + 60*h - 326*h - 13*h - 398*h). -3834*h**5 Expand -2*k**5 + 6*k**5 - k**5 + (0*k**3 + 5*k**3 - 4*k**3)*(k - k + 2*k**2) + (k**3 + 9*k**3 - k**3)*(35*k**2 - 8*k**2 + 16*k**2). 392*k**5 Expand (-1 + 1 - 1)*(21712 - 21712 - 1148*b). 1148*b Expand -1 - 2*b**5 + 3*b**4 - 17 + 18 + (-23*b**5 + 149*b**5 + 37*b**5)*(-1 - 2 + 0). -491*b**5 + 3*b**4 Expand (1141*r**3 + 163*r**4 - 1141*r**3)*(32 - 33 + 27 + 127). 24939*r**4 Expand (-6*a + 18 + a - 3*a)*(9 - 8 + 23). -192*a + 432 Expand -40*u**3 + 12*u**3 + 12*u**3 + 16*u**3 - 2469*u**4 - 13517*u**4 + (-2 + 2 - u**3)*(2*u - 5*u + 4*u). -15987*u**4 Expand (-1 + 1 - 4*z)*(1761 + 871 + 191 + 32). -11420*z Expand (0*d**2 + 7*d**2 - 2*d**2)*(1 - 1 + d) - 493*d**2 - 42*d**3 + 31*d**3 + 485*d**2. -6*d**3 - 8*d**2 Expand (-12 - 10 + 6)*(1 - 3 - 1)*(2 + 0 - 3)*(-28*u - 91 + 91). 1344*u Expand (-1 - 2 + 2)*(14*l + 66*l + 11*l)*(5 - 6 + 3)*(-11 + 24 + 7). -3640*l Expand (2*d - 5*d + d)*(2*d**2 + d**3 - 2*d**2) + d**3 - d**3 - 2*d**4 + 5*d - 39*d**2 - 4 - 2*d**4 + 41*d**2 - 4*d. -6*d**4 + 2*d**2 + d - 4 Expand (-4 + 2 + 4)*(5*p**3 - 5*p**3 - 3*p**4) - 703 - 10888*p**4 - 867 + 10889*p**4 + p**4 + 2*p**4 - 4*p**4. -6*p**4 - 1570 Expand (4*b - 2*b - 4*b)*(-2*b**3 + 0*b**3 + 3*b**3) - b**4 - 3*b**3 + 3*b**3 + (-b - b + 0*b)*(-37*b**3 + 31*b**3 - 22*b**3) + 4*b**4 - 6*b**4 - 4*b**4. 47*b**4 Expand (-14*w**2 - 10*w + 10*w - 1)*(117 - 61 - 73 + 4*w). -56*w**3 + 238*w**2 - 4*w + 17 Expand (-2 + 2 - 4*p)*(1 - 5 + 2)*(-5 + 3 + 8745*p - 9978*p + (-2 - 2 + 3)*(p - 4*p + 2*p)). -9856*p**2 - 16*p Expand (-5*l**2 + 3*l**2 + 0*l**2)*(-8*l**2 - 57*l**2 + 10*l**2) - 192*l**2 + 9*l**4 + 192*l**2. 119*l**4 Expand (-87*z + 86*z - 158 - 354)*(-5 + 0 - 2). 7*z + 3584 Expand (-7*b + 55*b + 24*b)*(75*b + 61*b - 39*b). 6984*b**2 Expand -1 + 2*o + 1 + (5*o + 0*o - 4*o)*(-518 + 229 - 96) - 4 + 4*o + 4. -379*o Expand (140*t**3 + 3*t**2 + 4*t - 90*t**3 - 146*t**3)*(5*t**2 - 2*t**2 - 2*t**2). -96*t**5 + 3*t**4 + 4*t**3 Expand y**3 + y**3 + 0*y**3 + (3*y + 3*y + 3*y)*(-3*y + 2*y + 3*y)*(11*y + 6*y - 12*y). 92*y**3 Expand 17*y**2 - 40*y**2 + 76*y**2 + (4*y + 2*y - 4*y)*(-10*y - 5*y + 2*y). 27*y**2 Expand (-5 + 5 + 3*q**3)*(-73*q + 103*q - 121*q + (-5 + 3 + 3)*(-q - 3*q + 3*q)). -276*q**4 Expand (45*y**2 - 78*y**2 + 19*y**3 + 36*y**2)*(56*y**2 - 20*y - 110*y**2 + 57*y**2). 57*y**5 - 371*y**4 - 60*y**3 Expand (2 - 5 + 1)*(2 + 6 + 0)*(10*n**2 + 4 - 4) + (2*n + 2*n - 3*n)*(3*n + 4*n + n) - 4*n**2 + 4*n**2 + 3 - n**2. -153*n**2 + 3 Expand (7*l**3 + l**3 - 7*l**3)*((-3*l + l + l)*(839*l - 411*l - 415*l) - 3*l**2 + 4*l**2 + 0*l**2). -12*l**5 Expand 15419*l**2 + 17769*l**2 - 6799*l**2 + 1835*l**2 + 10548*l**2 + (-3*l + 4*l - 3*l)*(l + 2 - 2) - 4*l**2 + 0*l**2 + 2*l**2 - 2*l**2 - 3*l**2 + 3*l**2. 38766*l**2 Expand (-1 + 1 - 7)*(-3*h + 0*h - h + (0 - 1 + 0)*(-h + 0*h - 2*h) + 11*h + 0*h + 6*h). -112*h Expand (5*c**3 - 3*c**3 - 4*c**3)*(172*c + 251*c - 325*c)*(0 - 2 + 1)*(3 - 7 + 1). -588*c**4 Expand -2*n**3 + n**3 + 5*n**3 + (0*n - 4*n - 3*n)*(-3*n + 4*n**2 + 3*n) - 1 - 6 + n**3 + 8 - 3*n**3 + 2*n**3 + 2*n**3. -22*n**3 + 1 Expand (-6*a**3 + 41*a**3 + 4221 - 4178)*(2*a - 3*a + 0*a)*(3 + 4 - 6). -35*a**4 - 43*a Expand (33 + 27 - 3)*(-1444 + 1444 - 810*f - 4*f + 2*f + 3*f + 0 + 0 - 2*f + (2 + 4 - 5)*(3 - f - 3)). -46284*f Expand (73*h**3 + 16*h**3 + 8*h**3)*(2*h**2 - h**2 - 6*h**2) + 0*h**5 + 7*h**5 - 3*h**5. -481*h**5 Expand 2*z**3 + 2*z**3 - 5*z**3 + (2*z**3 + 9*z**3 - 5*z**3)*(-3 - 4 + 135). 767*z**3 Expand (6*g**2 - g**2 - 3*g**2)*(16*g**3 - 30*g**3 + 22*g**3) - 5 - g**5 + 5 + (-1 + 2 + 1)*(g**4 - g**5 - g**4) + g**5 + g**5 - 6*g**5. 9*g**5 Expand (1 - 1 + 3)*(-2*h + h - h) - 6*h + 34*h - 136*h. -114*h Expand -16*j**3 - 21*j**3 + 22*j**3 - 56*j**2 + 33*j**3 + 56*j**2 + (-3*j**2 + 0*j**2 + 2*j**2)*(j - 2*j - j). 20*j**3 Expand (7*v**2 - 2*v**2 - 6*v**2)*(-324423 - 778*v + 324423). 778*v**3 Expand (-18919 + 247*j**3 + 18919 + (6*j - 3*j - 2*j)*(2*j**2 - 2*j**2 + j**2))*(0*j - j + 2*j). 248*j**4 Expand (-1 + 1 + 1)*(-2*v + 3*v + v + (6*v + 10*v - 49*v)*(-4 - 1 + 4)). 35*v Expand (-b**3 + 2*b**3 + b**3)*(54 - 27*b - 54) + (-1 + 2 + 3)*(15*b**4 - 25*b**4 - 33*b**4). -226*b**4 Expand (-2 + 295*y - 295*y + 18*y**2)*(388*y + 215*y - 890*y). -5166*y**3 + 574*y Expand (-2 + 0 + 6 + (0 + 2 - 1)*(-3 - 1 + 3))*(6 + 10*z - 5*z + 0)*(-2*z + 4*z - 4*z). -30*z**2 - 36*z Expand (-5*a + 4*a - a)*(-34*a**2 + 3405 - 1709 - 1694). 68*a**3 - 4*a Expand (-12*u + 0*u + 3*u)*(-5 - 2 + 0 + (-1 + 1 - 1)*(1 - 4 + 4))*(-2*u + 5*u - 7*u). -288*u**2 Expand (0*f - 3*f + 4*f)*(862*f - 459*f + 66 - 461*f)*(2*f + 3 - 3). -116*f**3 + 132*f**2 Expand -2*i**2 + 4*i**2 + 0*i**2 + (2*i + 0*i + 2*i)*(-549*i - 765*i + 374*i). -3758*i**2 Expand (40*i + 66*i + 91*i)*(5 - 2*i - 5)*(-i + 4*i - i). -788*i**3 Expand (-343*m**3 + 180*m**3 + 161*m**3 + 342*m - 1)*(-5*m - m + m). 10*m**4 - 1710*m**2 + 5*m Expand (v**3 + v - v)*(11731*v**2 - 5929*v**2 - 5876*v**2 + 24*v + (2*v + 2 - 2)*(3*v + 7 - 7)*(1 - 5 + 2)). -86*v**5 + 24*v**4 Expand -d**2 + 3*d**2 - 6*d**2 - 54*d**2 + 2*d**2 - 22*d**2 + (-2*d + d - d)*(-3 + 3 - 2*d). -74*d**2 Expand -80*p**2 + 40*p**2 - 10*p**3 + 38*p**2 + (0*p + 2*p - 3*p)*(-3*p**2 + 2*p**2 + 2*p**2). -11*p**3 - 2*p**2 Expand 4*m**2 + m**5 - 4*m**2 + (0*m**4 - m**4 - 2*m**4)*(-3*m + 3*m + 2*m) + (-2*m**2 + m**2 - m**2)*(-130*m - 2 + 130*m - 34*m**2)*(m - m + 3*m). 199*m**5 + 12*m**3 Expand (0 + 0 + 1)*(-232*c**2 + 311*c**2 + 949*c**2)*(-1 + 2 + 1). 2056*c**2 Expand 12 - u**2 - 12 + 3 + 2*u**2 - 3 + (1 + 1 - 4)*(0 - 2*u**2 + 0) + 0*u + 47*u + 2544*u**2 - 47*u. 2549*u**2 Expand (-5 + 2 + 1 + (5 - 3 - 1)*(2 - 3 - 1) - 4 + 0 + 2)*(-5*c + 4*c + 3*c)*(3 + 0 + 5)*(17*c**3 - 9*c**3 - 7*c**3). -96*c**4 Expand (-4171*c + 1190*c + 2051*c)*(-1 + 1 + 2*c**3 + (c**2 - c**2 + 2*c**3)*(0 + 4 - 3) - c**3 - c**2 + c**2). -2790*c**4 Expand (-h**3 + h**3 - h**3)*(0*h + h - 2*h) - 128*h**4 + 314*h**2 - 314*h**2 + 65*h**4 - 124*h**3 + 124*h**3. -62*h**4 Expand (15 - 15 + 4*h)*(2 - 2 + h**3) - 4*h**2 - h**4 + 4*h**2 + (2 - 2 + 4*h)*(-23*h + 22*h**3 + 11*h**3 - h**2 + 22*h). 135*h**4 - 4*h**3 - 4*h**2 Expand (-4 - 9 + 0)*((0 + 0 - 2)*(-3 + 0 + 4) - 3 - 3 + 5 + 2 + 3 - 3)*(83 - d**2 - 118 + 44). -13*d**2 + 117 Expand 0*p**2 + 4*p**2 - 5*p**2 + (-3*p**2 + 0*p**2 + 2*p**2)*(152 - 9 + 248). -392*p**2 Expand (2 - 2 + 4*g + (-4 + 2 + 0)*(-g - 3*g + 3*g))*(1 + 3*g - 1 + g - 1 + 1 + (2*g + g - g)*(0 - 1 + 2) - 1287*g + 2387*g - 1250*g). -864*g**2 Expand (-2 + 2 - x + (2 - 2 - 3*x)*(-4 - 3 + 0) + 53*x - 100*x + 55*x)*(-3*x**2 + 3*x**2 - x**2). -28*x**3 Expand -2 + 2 - 2*b + (4*b - 3*b + b)*(-2 - 3 + 2) + (-15*b + 31*b - 14*b)*(-9 + 6 + 0). -14*b Expand (11968 - 11968 - 108*y + (0 + 2 + 0)*(-4*y + 4*y + y))*(5 - 4 + 2*y - 5*y). 318*y**2 - 106*y Expand (-s + 3*s - 4*s)*(-1082 - 1096 + 2*s + 2161). -4*s**2 + 34*s Expand (3161 - 1106 + 8469)*(-1 + 1 + 2*p). 21048*p Expand (b**4 - b**4 - 2*b**4)*(-5 + 1 + 2) + 49*b**4 - 668 + 668 - 2*b**2 + b**4 + 2*b**2 + (-b - 4*b + 3*b)*(0*b**3 - 2*b**3 + 4*b**3). 50*b**4 Expand (-3*k + 3*k - k**2)*(-689*k**3 - 152*k**3 + 115*k**3). 726*k**5 Expand -129*z - 78*z + 208*z + 38*z**5 + (0*z - 3*z + 5*z)*(3*z**2 - 3*z**2 - 2*z**4) + 0*z**2 + z**5 + 0*z**2. 35*z**5 + z Expand 4*c - 4*c - c + (1 + 0 + 3 - 3)*(-439*
{ "pile_set_name": "DM Mathematics" }
6 Let v(r) = -2*r**2 - 25*r - 1. Let a(t) = t - 1. Let q(m) = -6*a(m) + v(m). Suppose 244 - 75 = -13*i. What is the tens digit of q(i)? 7 Let h = -1096 - -1727. Let l = -469 + h. What is the units digit of l? 2 Let o = -273 + 274. Let k(n) = 25*n**2 - 2*n + 2. What is the tens digit of k(o)? 2 Let z be 3/1 - 0 - (-12)/(-4). Suppose z*t = -14*t + 1750. What is the units digit of t? 5 Suppose 15*i - 36640 - 2525 = 0. What is the units digit of i? 1 Suppose -15*j = 166 - 241. Suppose -2*l - 3*w + 1401 = -4*w, -j*l + 3504 = -w. What is the tens digit of l? 0 Let z(g) = 2*g**2 - 26*g + 15. Suppose -11*c - 10 = -6*c. Let m be -2*2*7/c. What is the tens digit of z(m)? 4 Let m(i) = 3*i**2 + i + 1. Let g be m(-5). Let q = 166 - 130. Suppose -q*d - g = -37*d. What is the units digit of d? 1 Let a(x) = 1201*x + 1739. What is the ten thousands digit of a(17)? 2 Let u = 50030 + -22827. What is the ten thousands digit of u? 2 Suppose 0 = -4*i - 5*c + 21297 + 22585, c - 32928 = -3*i. What is the ten thousands digit of i? 1 Suppose 0*b = -14*b + 42. Suppose -b*a = -2*x + 2444 - 6018, 1191 = a - x. What is the thousands digit of a? 1 Let d(c) = 7*c**2 + 7*c - 7. Let y(a) = a**2 + a. Suppose -20*v = -21*v - 6. Let o(u) = v*y(u) + d(u). What is the tens digit of o(-10)? 8 Suppose -678*q + 790*q - 803600 = 0. What is the units digit of q? 5 Suppose 18*y - 19*y + 5 = 0. Let x(m) = 4*m**3 - 4*m**2 - 12*m - 2. What is the units digit of x(y)? 8 Let w = -312 + 317. Suppose o - 5*i = 6*o - 1310, 5*i + w = 0. What is the tens digit of o? 6 Let x(f) = -3926*f**2 - f - 6. Let m be x(-2). What is the units digit of (-1 - 0)/(-5 + m/(-3143))? 9 Let c(h) = 4*h**2 + 2*h - 3. Let l = -13 + 16. Let i be c(l). Suppose -2*s = -255 + i. What is the units digit of s? 8 Suppose 11*t - 6*t = 75. Suppose -j - n + 288 - 21 = 0, 3*n - t = 0. Suppose -4*b + j = -2*y, b + 4*b - 2*y - 326 = 0. What is the units digit of b? 4 Let k(i) = 16*i**2 + 9*i - 8. Let x be k(1). Suppose -4*z - x*z = -462. What is the units digit of z? 2 Let q = 3376 - 1540. What is the hundreds digit of q? 8 What is the units digit of ((-1)/(-3))/(120548*(-356)/2043576 - -21)? 9 Let b(v) = -1778*v - 1966. What is the tens digit of b(-25)? 8 Let j = 130 + -123. Suppose j*k = 9*k - 1542. What is the tens digit of k? 7 Let w(i) = 5*i**2 - 8*i + 17. Let c be w(5). Let u = c - 32. What is the units digit of 710/7 - 5/(u/6)? 1 Let r(x) = -9*x - 8. Let l be r(-10). Suppose 2*q - 34 = 2*o + l, 5*q = 0. Let h = 107 + o. What is the units digit of h? 9 Let t(x) = x**3 - x**2 - x + 3. Let d be t(0). Suppose -2*u + 3*j + 2*j = -72, -d*j = 0. What is the units digit of u? 6 Let p = -58 + 30. Let z be 4/(-14) + (-1044)/p. Suppose -6*f = -z - 53. What is the units digit of f? 5 What is the hundreds digit of (-2 - 931/4)/((-16)/12032*4)? 1 Suppose 14*c + 2*c + 7 - 23 = 0. Let x = 1 + 3. What is the tens digit of 75/x*(57/9 - c)? 0 Suppose -22*g = 10*g - 27611 - 48389. What is the units digit of g? 5 Suppose 5*l + 11 = 2*t, 0 = -t + 4*l + 2 + 5. Suppose -384 - 282 = -t*s. What is the tens digit of s? 2 Let m(s) = s**3 + 106*s**2 - 42*s - 430. What is the thousands digit of m(-105)? 5 Suppose -6331 - 8249 = -5*g. Let i = -1784 + g. Suppose 16*p = i + 564. What is the units digit of p? 6 Let i = 1016 + 628. What is the hundreds digit of i? 6 Let u = 4 - 2. Let q(x) = 18*x**2 + 15*x - 5. Let k be q(2). Suppose 0 = -4*w + u*n + 126, -w = -4*w + 2*n + k. What is the units digit of w? 9 Suppose -2*l + 3*h = 2 - 10, -9 = -l - h. Suppose 9 = -l*f - 26. Let z(x) = 6*x**2 + 4*x - 4. What is the tens digit of z(f)? 2 Let t be (114/11)/2 + (-14)/77. Suppose t*u - 15 = 4*o, 11 = 3*o + 3*u + 2. Suppose o = 4*r - 9*r + 75. What is the units digit of r? 5 Let q = -2781 + 12381. What is the thousands digit of q? 9 Suppose -i = -7*i - 558. Let r = i - -92. Let z = r - -95. What is the units digit of z? 4 Let v(n) = -17 - 23 - 114*n**2 - 49*n + 70*n**2 + 74*n**2 - n**3. What is the units digit of v(27)? 4 Suppose 0 = 3*l - 0 + 6, 3*b - 5*l - 2974 = 0. Suppose -5*t + 3*w + 2418 = 0, -9*t + 7*t - 4*w = -b. What is the units digit of t? 6 Let p(m) = m**3 - m**2 - 4*m - 19. Let i be p(8). Suppose -35 = 6*q + i. Let a = 201 + q. What is the units digit of a? 9 Let j(d) = 10*d**3 - 1126*d**2 + 37*d + 114. What is the ten thousands digit of j(113)? 5 Let g = -7 + 4. Let v(w) = 10*w**2 - 15 + 19 + 9*w**2. What is the tens digit of v(g)? 7 Let b(k) = 12*k**3 + k**2 - 6*k + 14. What is the tens digit of b(2)? 0 Let d(c) = -5 + 161*c - 164*c + 408*c. What is the units digit of d(1)? 0 Suppose 6344 = 3*x + 191. What is the units digit of x? 1 Let a(h) be the third derivative of h**4/12 + 7*h**3/3 + 5*h**2. Let o be a(-7). Suppose o = 5*n - 9 - 106. What is the units digit of n? 3 Let k(f) be the first derivative of 77*f**3/3 - 11*f**2/2 + 44*f + 100. What is the hundreds digit of k(3)? 7 Let o(y) = -5*y**2 - 19*y + 43. Let a(r) = 3*r**2 + 9*r - 22. Let b(z) = 7*a(z) + 4*o(z). Let p be b(11). What is the tens digit of ((-256)/2)/(-1) + p? 2 Suppose 0 = 65*c - 70*c + 15. What is the tens digit of c + (7 - -436 - 4)? 4 Suppose -11*x + 2233 + 110 = 0. Suppose x = 53*v - 52*v. What is the tens digit of v? 1 Let x = 555 + -250. Suppose -o = 5*b - x, 5*o = 3*b + 4*o - 191. What is the units digit of b? 2 Suppose 1693 = 8*w - 13099. Suppose w*n - 1846*n = 3912. What is the hundreds digit of n? 3 Let u(m) = 4*m**2 - 8*m - 557. What is the units digit of u(-26)? 5 Suppose -d + 17 = l, -5*d + 23 + 30 = 3*l. Suppose -4*h - 108 = -l*h. What is the tens digit of 216*(-1 + h)*(-1)/(-6)? 8 Let b(s) = 8*s + 64. Let z be b(-7). Suppose 4056 = z*t + 5*t. What is the tens digit of t? 1 Suppose 29*k + 2*c = 27*k + 91388, -2*k + 91346 = -4*c. What is the units digit of k? 7 Suppose -5*w + 21 = -3*j, -4*j - 5*w + w + 4 = 0. Let c(k) = k**3 - 2*k**2 - 2*k + 4. Let d be c(j). Let t = d + 104. What is the units digit of t? 6 Suppose 4220 + 13755 = 25*r. Let w = r - 183. What is the tens digit of w? 3 Let h(c) = -c**3 - 9*c**2 - 3*c - 29. Let s be h(-9). What is the hundreds digit of -2 + 2 - ((-234 - s) + -1)? 2 Let z = 2000 - 943. Let h = z + -171. What is the hundreds digit of h? 8 Let s = -41 - -38. Let i be 1 + 0 - (122 + s). What is the units digit of i/(-3) - (-3)/(-9)? 9 Let d be ((-1)/1)/(54/270). What is the tens digit of (482/(-3))/((60/18)/d)? 4 Let c = -9970 + 36039. What is the hundreds digit of c? 0 Let b(t) = -t**3 + 5*t**2 + 3*t + 18. Let o be b(6). Suppose 3*l = -o*l + 2181. What is the tens digit of l? 2 Let x = 6264 - -2192. What is the tens digit of x? 5 Let t = -8 + 4. Let a be (-45)/60 - (-1)/t. Let n(c) = 50*c**2 - 4*c - 3. What is the units digit of n(a)? 1 Suppose 0*a + 4*a = 2*p + 12554, 3*a = 3*p + 9417. What is the thousands digit of a? 3 Let k(r) be the third derivative of r**5/60 + 5*r**4/8 + 10*r**3/3 - 21*r**2. Suppose -12 = 4*h + 44. What is the units digit of k(h)? 6 What is the ten thousands digit of (8 + (-1813260)/45)*6/(-4)? 6 Let t = 62 + -76. Let i(r) = -r - 4. Let h be i(t). Suppose h*z + 35 = 2*x + 9*z, 2*x - 33 = 3*z. What is the tens digit of x? 1 Let m(j) = -4*j + 22. Let v be m(5). Let x(p) = -v*p - 4*p + 11*p + 7*p - 22. What is the tens digit of x(15)? 5 Let s = 45 - 43. Suppose 3*z + 13 = 2*j, 3*j + s*z + 2 = j. Suppose 37 = q - 4*h + 12, j*h + 2 = 0. What is the tens digit of q? 2 Let g = 416 - 392. Let h be (17/3)/((-2)/(-6)). What is the hundreds digit of 2*1838/g + h/(-102)? 1 Suppose 14 = 4*f + j, j - 2 = -f - 0. Let d be (2/f)/((-2)/(-12)). Suppose 3*p + 2*p - 335 = -k, d*k - 325 = -5*p. What is the tens digit of p? 6 Let r(o) = -o - 2. Let j = 47 + -52. Let l be r(j). What is the units digit of (1 - 2) + 51 + l + -5? 8 Let w(j) = 63*j**2 - 55*j - 838. What is the units digit of w(-20)? 2 Let g be (36/27)/((-1)/(-117)). Let a = g - -10. What is the units digit of a? 6 Let k(s) = -11*s + 23. Suppose 8*t + 4*t + 96 = 0. Let a be 435/(-60) + (14/t - -2). What is the units digit of k(a)? 0 Suppose y = -3*g - 121 + 643, 2*y + 348 = 2*g. What is the tens digit of 5*5/(25/g)? 7 Let r(y) = 52*y**2 + 296*y + 92. What is the hundreds digit of r(-36)? 8 Suppose 5*d + v = 135572, v + 27118 = -2029*d + 2030*d. What is the thousands digit of
{ "pile_set_name": "DM Mathematics" }
423/5 + t. Which is the smallest value? (a) 1 (b) u (c) 8 b Let z be ((-1)/(-14))/(17/136 - 12/32). What is the second biggest value in -10, -20, z? -10 Suppose 292*w + 72 = 301*w. Suppose v + 0*v + 14 = t, 0 = -5*t - v + 70. Let u = t - w. What is the second biggest value in u, -3/5, -1, 3? 3 Let s = -0.02362 + 4.83262. Let f = s - -0.191. Which is the biggest value? (a) 41 (b) f (c) 1/2 a Let y = -90 - 405. Let n = y + 451.2. Let v = n - -44. What is the third biggest value in 0.4, -14, v? -14 Let j = 163.93 + 0.07. Let x = j - 160. Suppose 5*r = 3*z - 31, 0*r - 16 = 4*r + 2*z. What is the third smallest value in -2/5, x, r? x Let l = -1922 + 1949. Which is the biggest value? (a) 3/4 (b) -5/2 (c) l c Suppose -1 = -n - 0*n. Suppose 0 = -2*l - n - 3. Let i = -490.1 + 489.7. What is the second biggest value in l, -4, i? l Let z = -5021/2 - -175753/70. What is the third smallest value in 0.2, -3/2, -3/4, z? 0.2 Let l = 11/48 + -1/16. Let h = -4834 - -62840/13. Which is the third smallest value? (a) l (b) 0.02 (c) h a Let s = 519 + 568. What is the second biggest value in s, -1/7, -4? -1/7 Let u be 13/(((-8)/(-24))/(-1)). Let g = -59 - u. What is the third smallest value in -0.2, 3/7, 4, g? 3/7 Let f be 2 - (3 + (-10*42/336)/(10/12)). Let o be 2/(-7) - 10/14. Let q = 5.88 - 6. Which is the third smallest value? (a) f (b) 0.2 (c) o (d) q b Let y = 14.7 + -37.6. Let a = y + 23.9. What is the smallest value in -1/10, a, 2/9? -1/10 Let q be (-1)/7 - (4 + (-2653)/49). Let u be 20/q + (-3 - 49/(-15)). What is the second smallest value in u, -0.007, 2/7? 2/7 Let h be (-1)/5*(7 + 92/16*-1). Which is the fifth smallest value? (a) -0.1 (b) h (c) 2/9 (d) 6 (e) -1/2 d Let i = -223.4 + 223. Let d = 73.7 + -74. Which is the second smallest value? (a) 0.02 (b) d (c) i b Let o = -1302 - -1303. Which is the third smallest value? (a) 1/4 (b) 10.4 (c) -5 (d) o d Let v = -3 + 5. Let z = -37599 + 37603. Which is the third biggest value? (a) z (b) -0.5 (c) v (d) -15 b Let l = 2485 - 2512. Suppose 4*p + 8 = 2*p. Which is the third biggest value? (a) l (b) p (c) 1 (d) 0 b Let n = -7.65 - -330.65. Let u = n - 323.4. Which is the fourth smallest value? (a) -23/3 (b) -3 (c) 0.4 (d) u c Let h = -79.174 + 0.174. Let t = 78.92 + h. What is the fourth biggest value in -1/6, -4, -0.1, t? -4 Let o = -1968 - -1972. What is the smallest value in 8/51, 2/3, o? 8/51 Suppose -89*v = -90*v + 4. Which is the fourth biggest value? (a) 0.5 (b) 0.07 (c) 23 (d) v b Let t = -1.288 + -0.27. Let y = t - 0.442. What is the third biggest value in 28, 1/6, 2, y? 1/6 Let f(l) = l**3 - l**2 + 2*l + 117. Let y be f(0). Let q = 122 - y. What is the fourth biggest value in q, 0, 3, -0.1? -0.1 Let j = 90 + -85. Let o be 12/j - (-7)/14*-4. Which is the smallest value? (a) -1 (b) -5 (c) -5/6 (d) o b Let s(f) = -6*f**2 - 47*f + 58. Let w be s(-9). Which is the third biggest value? (a) -24 (b) w (c) -0.29 a Let m = -0.3964 + -0.0036. Which is the biggest value? (a) m (b) 39 (c) 4 b Let r = -0.3 + 0.2. Suppose 0 = 8*f - 229 - 699. Suppose -17*y + f = 12*y. What is the fourth smallest value in 1, r, -5, y? y Let g be 294/(-6)*(-1)/(-4). Let n = g + 543/44. Let i = 2450.8 - 2451. Which is the fourth smallest value? (a) 5 (b) 1/3 (c) i (d) n a Let a = 2611 - 2618. What is the fourth biggest value in a, 1/6, -0.1, -2/11? a Let n = -223011001/10470 - -21300. Let w = n + -2078293/20940. Let r = w - -99. Which is the third smallest value? (a) r (b) -5 (c) -10 a Let n(o) = -o**3 - 6*o**2 + 5. Let i be n(-6). Let u be (-6072)/(-64) - 1/(-8). Let z = u - 471/5. Which is the third biggest value? (a) -4 (b) z (c) i a Let i be ((-288)/84)/8 + 13/63. Which is the third biggest value? (a) 0.084 (b) 0 (c) i (d) 0.2 b Let x be 1*(-3 - -2)*-1. Suppose 3*m - 138 = 99. Let w = m + -70. Which is the third smallest value? (a) w (b) -5 (c) x (d) 0 c Let l = -3 - 12. Let w = -15.15 - l. Let k = -0.07 - w. Which is the third smallest value? (a) k (b) 0 (c) -0.4 a Let y be (-10)/78 + 156/338. What is the fourth smallest value in 5, -2, y, -15, -1? y Let k = 210 - 202. Let h be (-4)/(-18) - 34/(-9). Suppose t = h*t, 4*v - 4*t - k = 0. What is the third biggest value in v, -0.2, -6? -6 Let k = -137/573 - -265043/181068. Let i = 2/79 + k. Suppose -4 = g - 4*c + 7*c, -2*g - 5*c - 8 = 0. What is the second smallest value in i, -1, 6, g? -1 Let o = -90.35 + 89. Let z = o + 1.75. Which is the smallest value? (a) 38 (b) -1 (c) z (d) 3 b Let w = 0.16 - -1.84. Let m be 93/124*(-16)/(-28). What is the biggest value in 3, -5, m, w? 3 Let y = 26529/2 - 13263. What is the second biggest value in 3, 1, y, 72? 3 Suppose -2*k + 7 + 19 = 0. Let t = -5.7321 - -5.6021. Which is the smallest value? (a) k (b) 1 (c) t c Let g = -2774 + 3318. What is the biggest value in 0.1, 1, g? g Let n = 236 + -475/2. Which is the smallest value? (a) 4 (b) n (c) 4/5 (d) -4/17 b Let r = -2/15 - 7/60. Let w = 638.1 + -638. Let g(f) = f**3 + 4*f**2 + 2*f + 6. Let z be g(-3). Which is the smallest value? (a) z (b) r (c) w b Let v = 0.1181 - 0.1862. Let k = v + 0.0681. Let n = 8.6 + -1.6. Which is the third biggest value? (a) 4 (b) k (c) n b Suppose -9*g - 40 = j, 175*j - 178*j + 3*g = 0. What is the fifth biggest value in j, -2/27, 1, -0.4, 4? j Let u = -1240.05 - -1240. Let q = -2 + 1.7. What is the fourth biggest value in u, -2/3, 0.4, q? -2/3 Let v = -1200 + 1203. Let z = 1198/1485 - 2/297. What is the biggest value in -2, z, v? v Let g be 4/13*2/4. Let w = 0.02093 - 0.09093. What is the second smallest value in w, 4/3, g? g Let g = 13/5 + -99/40. Let l = -47 + 48. What is the second smallest value in g, -3/5, l? g Suppose -19*z = -10*z. Let n be (-112)/280 - ((-4)/10 - z). Let l = 0 - 5. Which is the fourth biggest value? (a) -0.3 (b) n (c) l (d) 5 c Let h = -4.7 - 6.6. Let q = h - -6.3. What is the fourth biggest value in 0, 0.5, -0.01, q? q Let p = 1.99 + -2. Let u be 25/(-10) + 1539/342. Which is the biggest value? (a) p (b) -5 (c) -4 (d) u d Let p be ((-1)/(-5))/(313/9390). Which is the third biggest value? (a) p (b) 269 (c) 5 c Let l = -650.6096 - -651. Let i = l - -0.0096. Which is the fourth biggest value? (a) -1/8 (b) 9 (c) i (d) 3 a Suppose 0 = -o - 3. Let y be (2374/4 + o)/((-9)/(-2)). Let w = 131 - y. Which is the fourth smallest value? (a) -0.4 (b) -3 (c) w (d) 5 d Let b(z) = 2*z - 16. Let o be b(10). Let w be 2/o*(10 + 2). Let j be (-6)/(-14)*(-4)/w. What is the third biggest value in j, -3, 1/3? -3 Let q be (-8)/(-10) - (-16 - -17). Let d = -1179.21 - -1131.2. Let u = -48 - d. What is the smallest value in q, u, 4? q Let q(r) = -181*r + 2171. Let w be q(13). Which is the third biggest value? (a) -1/4 (b) 9 (c) w c Let g = -4.2199 - 0.7801. Which is the second smallest value? (a) -372 (b) g (c) 2/13 b Let m = 25809 - 25805. What is the third smallest value in -2, 13/68, 8, m? m Let n = 0.16 + -0.17. Let t be 1/((-1)/((-2)/(-114))). Let y = t - 6/19. Which is the biggest value? (a) -3/5 (b) n (c) -0.2 (d) y b Let s = 223 + -227. Let r = -1/103 - -211/515. Which is the biggest value? (a) s (b) -5 (c) r (d) 0.5 d Let t = 1.1 + -0.1. Suppose -4*w + 7*v = -8 + 55, -13 = w - 2*v. Let c = 149 + -1049/7. What is the smallest value in c, t, 1/5, w? w Let s be 16/(-932)*28/(-42)*(-3)/4. Which is the second biggest value? (a) s (b) 2/7 (c) -10 (d) 0.2 d Suppose 4 = 3*n - x - 4, 2 = 2*n - 4*x. Let w be 898/(-3143) + 22/(-70). Which is the second smallest value? (a) 5 (b) 0.4 (c) n (d) w b Suppose 0 = 3*g - 4*w - 40, 0 = -56*g + 59*g - 3*w - 33. What is the third smallest value in 129, g, 4/3? 129 Let l = -753/2954 + -13/422. Let u = 326 - 4892/15. What is the biggest value in u, -4, 3, l? 3 Let m be 114/22 - 816/4488. Let b be (0 - 1) + 6/(-2). Let v = 1 + 1. What is the second biggest value in v, m, b? v Let t = 0.07 + -3.07. Let j = -16674.74 - -16675. Which is the fourth smallest value? (a) -2/3 (b) j (c) t (d) -1/3 b Let r(z) = 5*z + 74. Let d(g) = 25*g + 369. Let c(u) = 2*d(u) - 11*r(u). Let o be c(-16). What is the smallest value in 2/51, 2/5, 0.5, o? 2/51 Let i = -324 - -324.363. Let o = -0.037 - i. Which is the smallest
{ "pile_set_name": "DM Mathematics" }
ose -k*d = 5*i - 50, 2*i = 3*d + 4*i - 56. What is the greatest common factor of d and 15? 5 Let c(d) = -d + 50 - 54 - 7*d. Let w be c(-4). Calculate the highest common factor of 4 and w. 4 Let o = -685 + 781. What is the highest common divisor of 108 and o? 12 Let u = -606 + 1041. Calculate the greatest common factor of 87 and u. 87 Suppose -5*o - 3*h + 36 = 0, 2*h - 4 = -o + 3*h. Let j be (-8)/o*1155/(-14). What is the highest common factor of j and 10? 10 Suppose 67 + 73 = 3*o + 2*l, 2*l + 4 = 0. Calculate the greatest common factor of o and 3. 3 Let m = -1318 - -1355. What is the greatest common divisor of m and 3515? 37 Suppose -2*u = 4, 5*u = -y + 4*y - 766. Calculate the greatest common factor of 72 and y. 36 Let h be 21/((-315)/(-60))*5. Suppose t - 3 = -1. Suppose d + 17 = 2*w, t = 2*w - 5*d - 3. Calculate the greatest common divisor of h and w. 10 Let b be (-12)/15*(-15)/6. Suppose -2*s = r - 3 - 34, -b*r - 5*s + 73 = 0. Suppose -5*m + 36 = -29. What is the highest common factor of r and m? 13 Let c = 23073 + -23057. Let n(f) = -f**2 - 5*f - 4. Let b be n(-3). What is the highest common factor of c and b? 2 Suppose -28 = -4*c - 4*o, 1 = 2*c - 3*o + 2. Calculate the greatest common factor of 556 and c. 4 Let w(j) = -2*j - 8. Let n be w(-6). Suppose 0 = -3*h - n*h + 42. Calculate the highest common factor of h and 18. 6 Let o be (-704)/(-40) - 4/(-10). Let f = o + -8. What is the highest common divisor of f and 30? 10 Let g = -17 + 21. Suppose 6*d + 360 = d. Let q = 108 + d. What is the greatest common factor of q and g? 4 Suppose 4*i = 4*h - 17 - 63, -3*h + 58 = -5*i. Let t be 0/(-2*1/(-1)). Let x = h + t. Calculate the highest common factor of x and 168. 21 Let n be (1 + (-7)/3)/((-28)/2646). Calculate the highest common divisor of n and 14. 14 Let f = 653 + -636. Suppose -2*x = -7*x + 170. Calculate the greatest common factor of x and f. 17 Let o(t) = t. Let n be o(6). Let x be (-280)/30*n/(-4). Let b(a) = a + 1. Let y be b(x). Calculate the highest common factor of y and 5. 5 Suppose -3*w + 3*y + 69 = 0, 4*w - 2*y - 35 - 47 = 0. Calculate the greatest common factor of w and 6. 6 Let k(r) = r**3 - 4*r**2 + 27*r - 126. Let t be k(6). What is the greatest common divisor of 180 and t? 36 Let n = -29 - -32. Suppose -y + 77 = -n*a + 27, 3*y - 5*a - 166 = 0. Suppose y = 6*l - 118. Calculate the greatest common factor of l and 20. 10 Let q = -4 - -6. Suppose p + 4*s = q*s + 31, 2*p + s - 53 = 0. Suppose -2*m - 3*m = -375. Calculate the greatest common factor of p and m. 25 Let v(c) = -c + 18*c + 5*c - 10 - 10. Let l be v(10). Suppose f - 5*f = -100. Calculate the greatest common factor of f and l. 25 Suppose 2*x + 2*x - 17 = 3*a, -4*a - 10 = x. Calculate the greatest common factor of 2 and x. 2 Suppose 0 = -2*t + l - 4 - 68, 2*t + 3*l = -88. Let b = 67 - t. What is the highest common divisor of b and 15? 15 Let x = 49 + -14. Suppose 10*t + 3 = 7*t. Let z(v) = -14*v. Let u be z(t). Calculate the highest common divisor of u and x. 7 Let m = 18 - 16. Let n be m + -4 - (-8)/1. Suppose u = l - n, -l + 18 = -u + 3*u. Calculate the greatest common divisor of 80 and l. 10 Suppose 90 = -4*c - 5*d, -76 = c + 3*c - 2*d. Let m be ((-888)/c)/2 + 6/(-30). Calculate the greatest common factor of m and 110. 22 Suppose 3*c - 19 - 185 = 0. Suppose 0*m - 18 = 2*m. Let j = c - m. What is the greatest common divisor of 7 and j? 7 Let g be 1275/12 + -3 - 18/(-24). Suppose g = -2*h + 456. Calculate the greatest common divisor of h and 22. 22 Let m = -54 + 54. Suppose -4*d + 5*f = -m*f - 68, -f = 0. Suppose -3*a = -263 - 298. Calculate the greatest common factor of a and d. 17 Suppose -4*z = -4*n - 915 + 8399, -z - 3743 = -2*n. What is the highest common divisor of n and 117? 117 Let k(d) be the third derivative of -d**4/24 - 5*d**3/3 + 10*d**2. Let s be k(-12). What is the highest common divisor of s and 20? 2 Let s be (2*-1)/(3 - 1) - -1. Let l(k) = -k**3 + 3*k**2 + 2*k + 9. Let c be l(s). What is the highest common factor of c and 63? 9 Let s(c) = -c**2 - 16*c - 13. Let p(g) = 5*g**2 + 81*g + 64. Let h(b) = 2*p(b) + 11*s(b). Let t be h(-5). What is the greatest common factor of t and 40? 10 Let b = 475 + -457. What is the greatest common divisor of 900 and b? 18 Suppose 0 = -3*h - 3*w + 48, 2*h + 0*h = -5*w + 32. Calculate the greatest common factor of 368 and h. 16 Suppose -2*j - r - 49 = -4*j, 28 = j + 3*r. Suppose -46 + 10 = 4*u. Let t be (u - 1)/(1 - 3). Calculate the highest common divisor of j and t. 5 Suppose 3*g + 74 = 248. Calculate the highest common factor of g and 725. 29 Let z be 6*((-12)/18 + (-75)/(-18)). Calculate the highest common divisor of 14 and z. 7 Let d be ((-54)/21)/((-17)/14 + 1). Let o(n) = 9*n - 3. Let i be o(-4). Let m = 63 + i. Calculate the greatest common divisor of m and d. 12 Let p be (-22)/(-5)*(-5)/(-1). Suppose 3*c = -4*w + 226, -w = 2*c - 28 - 26. Let g = w - 47. Calculate the highest common divisor of g and p. 11 Let j(v) = -v**3 - 4*v**2 - 5*v - 6. Let o be j(-7). Let k(q) = 3*q**2 - 4*q + 1. Let d be k(3). What is the highest common divisor of d and o? 16 Suppose -3*j - 2*j + 10 = 0. Suppose f - j*f = -22. Calculate the greatest common divisor of 33 and f. 11 Let j be -3*((-222)/(-18) + -4). Let m = 280 + j. What is the highest common factor of 102 and m? 51 Let i(g) = 3*g**2 - 85*g - 45. Let q be i(29). What is the greatest common divisor of 728 and q? 13 Let u = -6 + 11. Suppose 0*q - 2*q + 13 = -u*v, 1 = -v. Suppose 4*i + 2*z - 30 = 0, 36 = 3*i + 2*i + q*z. Calculate the highest common factor of 56 and i. 8 Let x be 351/15 - 4/10. Let n be (-44)/(-110) - (-97)/(-5). Let i = x + n. Calculate the highest common factor of i and 20. 4 Suppose -3*h + h = w - 15, h = 4*w - 51. Suppose 0 = -2*n + w - 1. Let i be n/4 - (-148)/8. Calculate the greatest common divisor of i and 50. 10 Suppose -489*f = -494*f + 390. Calculate the greatest common divisor of 286 and f. 26 Suppose 0 = -5*u - 9 - 6, -4*c + 306 = 2*u. What is the highest common factor of 754 and c? 26 Let c = 26 + -30. Let w be c/(-6) - (-52)/12. What is the greatest common factor of w and 35? 5 Let q(v) = v - 126*v**2 + 18 - 10*v + 259*v**2 - 131*v**2. Let z be q(6). Calculate the greatest common divisor of 54 and z. 18 Let r(c) = c**2 + 13*c - 136. Let o be r(7). Calculate the highest common factor of 196 and o. 4 Let n be (3 + -1)/(2/8). Let o be 297/13 - 18/(-117). Suppose f - 5*f + 76 = 4*s, 5*s = -2*f + o. Calculate the highest common divisor of n and f. 8 Let s be -1*4*(-4)/(-8). Let p be (-413)/(-14) - s/4. What is the highest common factor of p and 75? 15 Suppose 266 = -2*u + 4*u. Let m = 491 - u. Let h = m - 248. Calculate the highest common divisor of 10 and h. 10 Let d(a) = -6*a - 138. Let t be d(-26). Calculate the greatest common divisor of 14 and t. 2 Let j(u) = -2*u**2 - 1037 - u**2 + 2*u - 2*u**3 + 1045. Let v be j(-4). What is the greatest common factor of v and 16? 16 Let t be (22/(-4))/(-1)*14. Let z be (2/(-5))/(1/30). Let d be 64/6 - 4/z. Calculate the highest common factor of d and t. 11 Let m(t) = 16*t**2 - 11*t + 6. Let s be m(5). What is the greatest common factor of 27 and s? 27 Let k be 32/10*((-121)/(-22) - -7). What is the greatest common factor of 70 and k? 10 Let c(j) = j**2 - 8*j - 5. Let r be c(10). Suppose r*h + 102 = 18*h. What is the greatest common divisor of h and 374? 34 Let c(p) = p**3 - 44*p**2 + 6*p + 51. Let i be c(44). Calculate the highest common factor of 90 and i. 45 Suppose 0 = -112*l - 21*l + 1862. Calculate the greatest common factor of l and 142. 2 Let x = 33 + -28. Suppose x*p + 28 = 83. Let h = 150 + -51. What is the greatest common factor of p and h? 11 Let d(f) = -f + 10. Let r be d(8). Let a = -173 - -221. Suppose a = r*c - 128. What is the greatest common divisor of c and 11? 11 Let a be (2 - (-20)/15)*(-36)/(-10). What is the highest common divisor of 96 and a? 12 Let l be 21*(2 - 1)*63. What is the highest common factor of 49 and l? 49 Suppose -8*v + 3*v + 20 = 0. Let p(w) = -w - 15. Let i be 897/(-46) - (3/2 - 2). Let r be p(i). Calculate the highest common divisor of v and r. 4 Suppose -r - r - 16 = 0. Let h be (56/16)/((-2)/r). What is the highest common divisor of h and 7? 7 Let z(c) = -3*c - 11. Le
{ "pile_set_name": "DM Mathematics" }
5 Let m = -59 + 60. Solve x = -m + 2 for x. 1 Let t = -20 - -22. Let o be 14/(-4)*(-4 - -2). Let d be ((-1 - -1) + -10)*-1. Solve -o*u + t*u = d for u. -2 Let k(t) = 7*t**3 - t**2 - 2*t + 2. Let l be k(1). Suppose 0 = -0*n - 3*n + 15. Solve l*z - z = n for z. 1 Suppose k = 5*z + 25, -2*k - 3*z - z - 6 = 0. Solve 11 = -4*s - k for s. -4 Let j = -54 - -56. Solve -j + 4 = -n for n. -2 Suppose 5*o - 6 = 2*o. Let t be (3/(-9))/(o/(-12)). Suppose -3*i = -i + 4*u - 18, i - t*u = -7. Solve -g = 5 - i for g. -4 Let y be (-14)/(-4) + 1/(-2). Let a = 8 - 4. Solve -a = h - y*h for h. 2 Suppose -3*k = -3*z - 6, z + 7 - 17 = -3*k. Solve -k = -3*a - 0 for a. 1 Let m = -10 + 15. Suppose b - j = 9, 3*b - 3 = -0*b - 3*j. Suppose -3*g - 12 = -b*f, 5 = 3*g + 2. Solve -f = m*l + 2 for l. -1 Suppose 0 = 4*x + 16, 2*f - x - 2*x = 32. Let u be (f - 11)/((-1)/2). Solve -u*h - 3*h + 20 = 0 for h. 4 Let o be (2 + (-1)/2)*4. Solve 0*w = -2*w - o for w. -3 Suppose -38 = 5*k - 2*n + 3*n, -3*k + 4*n = 32. Let t = 18 + k. Suppose -1 = 2*d - 11. Solve d = -3*c - t for c. -5 Suppose 2*c - 10 = -3*c. Solve -4 = -0*m + c*m for m. -2 Let r be 4/(-18) + 144/(-81). Let n be 4*(r - (0 - 3)). Solve -n*b + 0*b = 0 for b. 0 Suppose 0 = -6*v + 5*v + 3. Solve 2*a = -v*a for a. 0 Let j(c) = -c + 4. Let q(m) = -2*m + 4. Let t(n) = 3*j(n) - 4*q(n). Let x be t(4). Solve 5*l + 9 + x = 0 for l. -5 Suppose 3*l + 2 - 20 = -3*s, 0 = s + 3*l + 2. Let u = s + -3. Solve -16 + u = 3*k for k. -3 Let i be -18*(16/(-6) - -2). Suppose 0 = 4*b - 2*x + 6, -4*b + 6*x - 9 = 3*x. Let z = b + i. Solve 0*d = -4*d + z for d. 3 Let x be (-60)/(-27) + (-2)/9. Solve 2*i + x*i = -16 for i. -4 Suppose 0 = -5*z - 4*k + 60, -5*k + 20 = -k. Solve -z = -6*m + 2*m for m. 2 Let x = -7 - 2. Let k be -1 - (1 + x) - 3. Solve 5 = -k*w - w for w. -1 Let t be ((-10)/(-4))/((-2)/4). Let q be (-2)/t - (-13)/5. Suppose q*w = -0*w. Solve w = 4*v - 0*v for v. 0 Suppose k + 5*j = -2*k - 20, -4*k = -j - 4. Solve 4*s + k*s = 8 for s. 2 Suppose 3*d = 8*d - 20. Solve -d*c = -8*c - 12 for c. -3 Suppose -76 = -5*j - 1. Suppose -9*z = 4*z - 26. Solve z*n - j = -n for n. 5 Suppose -2*a = a - 3*r - 21, -5*a = -3*r - 33. Solve -a = 6*h - 4*h for h. -3 Let q = 2 - 0. Let f(g) = -g + 6. Let v be f(-9). Suppose q*h - v = 11. Solve -1 + h = 4*z for z. 3 Suppose 53 = -x + 4*p - 19, 3*p = 12. Let s be (-2)/7 - 16/x. Suppose -4*a + a + 9 = 0. Solve y + a - 7 = s for y. 4 Let w = 5 + -3. Solve -w*o - 6 = o for o. -2 Suppose -4*u + 7*u - 12 = -2*v, 3*v - 9 = 0. Let f be 4 - 8/(-4) - -2. Suppose -4*l + f*l - 12 = 0. Solve -1 = -u*i + l*i for i. -1 Suppose 0 = 2*d - 18 + 6. Suppose 0 = -d*c + 2*c + 4. Solve 4*k = 3*k - c for k. -1 Suppose -3*k = -5*j + 14, -6 = -k - 8*j + 7*j. Let c = -1 + 2. Let n = c - -4. Solve 3*b + k*b = n for b. 1 Let r be -2*(-2)/4 - -21. Suppose -4*i + 5*p - p = -12, 5*i = -2*p + 43. Solve 0 = -3*c + r - i for c. 5 Let o = -14 - -16. Solve 0 = o*d - 10 - 0 for d. 5 Let h(o) = o**3 - 6*o**2 + 6*o + 1. Let d be h(5). Suppose 0 = 3*n - 3*l - 15, 6 = -5*n + 3*l + 29. Let c = -2 + n. Solve 0 = -c*g - d - 0 for g. -3 Suppose -2*x = -x. Let o(b) = -12*b**3 - b - 1. Let l be o(-1). Let u = -1 - -3. Solve 6*f - u*f + l = x for f. -3 Suppose -h - 2*g + 17 = 0, -4*h - 12*g + 3 = -17*g. Let d = 1 - -2. Solve d*k + h = -5 for k. -4 Let g be (-11)/(-4) - 16/(-64). Solve 2*i + g*i = 0 for i. 0 Suppose -31*r + 20 = -26*r. Solve m = -r*m + 25 for m. 5 Let o = 18 + -18. Solve -3*x - 11 - 1 = o for x. -4 Let p(a) = a + 13. Suppose n + n + 18 = 0. Let h be p(n). Solve -r = 1 - h for r. 3 Let c(a) be the third derivative of 7/60*a**5 + 1/120*a**6 + 5/24*a**4 + 0 + 0*a - 1/3*a**3 + 2*a**2. Let p be c(-6). Solve -3*t = -p*t + 5 for t. 5 Let d(i) = -i - 4. Let z be d(-3). Let x = -11 - -17. Let j = z + x. Solve 0*o - j = -o for o. 5 Let b = 25 + -15. Let a = 1 - -4. Let t = a + -5. Solve -2*h = -t*h + b for h. -5 Let z(u) = -u**2 + 9*u - 9. Let m be z(7). Suppose -2*j = -m*k + 20, -5*k + 2*j + 16 = -2*k. Solve k*y - 8 = -2*y for y. 2 Suppose -3*i + 5*i = 4*k - 4, 3*i - 4*k + 2 = 0. Let n = -3 - i. Let g be 0/(-1) - 10/n. Solve 4*t = g*t for t. 0 Let l(s) = 2*s + 3. Let w be l(-4). Let v be w + 4 - 3/(-1). Solve -v = 2*f + 2 for f. -2 Suppose z = 6*z - 10. Solve -z*t = 2*t for t. 0 Let t = 2 - 4. Let o = t - -4. Suppose -d = 2*d. Solve d = 7*x - o*x for x. 0 Suppose 0*z + 2*z = 0. Let k(v) = v - 6. Let j be k(0). Let h be -5*1/2*j. Solve 3*a = -z + h for a. 5 Suppose t - 17 = -y, -3*t = -3*y + 21 - 0. Solve -5*f = -f - y for f. 3 Let u be (-3)/(-2)*(-20)/(-6). Solve u*i = 6*i + 5 for i. -5 Let y(o) = o**2 + 6*o - 4. Let h be y(-7). Let j be 9/(-12) + (-15)/12. Let x be 1/1*j/(-1). Solve -4 - x = h*r for r. -2 Suppose 3*y - 5 = -4*l + 5, 4*y = 4*l + 4. Suppose y*m = m. Solve -4*t + m*t - 12 = 0 for t. -3 Let n(h) = h**3 + 4*h**2 + 2*h + 3. Let u be n(-3). Suppose -2*r + u*r + x = 16, 3*x = 0. Solve -r*f + 12 = -0 for f. 3 Let w(g) = 5*g**2 - g. Let k be w(1). Suppose -32 = -k*c - 2*u, 2*u = 2*c - 2*u + 4. Solve -d = 2*d + c for d. -2 Let i(c) be the first derivative of c**6/120 - c**4/8 + c**3/2 + c**2/2 + 2. Let d(q) be the second derivative of i(q). Let o be d(2). Solve 0*v = v - o for v. 5 Suppose -q - 2*q = -3*p - 3, -5*p - q + 13 = 0. Solve -p*c - 3*c = 0 for c. 0 Let s be 1/3 + (-112)/(-42). Solve -s*r = -1 + 16 for r. -5 Let n(s) = -4*s**3 - 2*s**2 - s - 8. Let t(f) = -5*f**3 - 3*f**2 - f - 9. Let w(x) = 6*n(x) - 5*t(x). Let k be w(-3). Solve -c + k*c = 0 for c. 0 Let m be (-2)/4*(-5 - -3). Let i(j) = -3*j - 1. Let s be i(-1). Solve m = d - s for d. 3 Let l be 1 + (-2 - (-3 + 2)). Let c be 1 + 1 - (0 - l). Suppose -c*h = h - 9. Solve h*x = 3 - 0 for x. 1 Suppose 3*b - 8 = b. Suppose 0 = b*l - 3*l. Solve l = -2*v - 4 - 6 for v. -5 Let p(o) = -o**3 + 3*o**2 + 5*o + 2. Let n be p(4). Solve -u + 3 = n for u. -3 Let i(t) = -t**2 + 5*t**2 - 3*t**2 + 12*t - 4 - 9. Let d be i(-13). Solve d = -0*h - 4*h - 8 for h. -2 Suppose 6 = 2*w - 2*m, 10 + 2 = 5*w - 2*m. Solve 4*k - w + 10 = 0 for k. -2 Let c(b) = 19*b. Let n be c(1). Suppose -2*t + n = -t. Suppose -2*d = -t - 13. Solve -2*x = 2*x + d for x. -4 Let b = 0 - -3. Suppose -k + 10 = 5*n, -b - 1 = -2*n - 3*k. Solve n*v = 7*v for v. 0 Suppose -i - 5 = 0, -4*k + i + 2 + 3 = 0. Solve k*g = g for g. 0 Suppose -3 = -5*r - 13. Let o be r/(-8) - 9/36. Suppose 5*d + x - 31 = 0, 3*d + 5*x - 23 = -o*d. Solve 4*u = d + 6 for u. 3 Suppose 7*y = 11*y - 20. Solve -3 - 12 = y*j for j. -3 Suppose -2*z - 2 = 2*y, z + 3*y = 5*z - 17. Solve l + z*l = 9 for l. 3 Suppose -2*p + 1 = 3*u - 4, -3*u - 4*p = 5. Suppose 5*h = -4*s + 20, s + 3*s = 3*h + 20. Suppose 0 = -s*l + 66 - 16. Solve -u*b = l + 15 for b. -5 Let f(k) = -k + 8. Suppose 5*m - 80 = -c, -4*m = -4*c - 0*c - 64. Suppose -5*z = m - 56. Let j be f(z). Solve a + 1 = -j for a. -1 Suppose 2*x - 5 + 1 = 0. Solve x*p - 7*p = 0 for p. 0 Let g = 5 - 3. Suppose 3*r - 19 = -p, -g*p + r + 35 = 6*r. Solve -z = -3*z - p for z. -5 Let g be -4*(28/(-8))/7. Solve -g*y - 2 = -y for y. -2 Suppose 2*b - 5 = -s, 4*b - 2*s - 12 = -6*s. Let q be (-2)/3 - 8/(-3). Suppose -3*i = 3*w - 8*w + 8, -w = -q*i + 4. Solve 0*x - b*x = -i for x. 2 Let o be ((-4)/(-8))/((-2)/20). Let d = o - -3. Let m be 5/d*12/(-15). Solve 3*x - m*x = 3 for x. 3 Let u(t) = 2*t - 13. Let x be u(9). Suppose -5*q = -x - 20. Let k = 12 - 8. Solve k*g - 3 - q = 0 for g. 2 Let l = 1 + 1. Let q be ((-10)/(-15))/((-1)/3). Let v = l + q. Solve v = -h - 5 + 2 for h. -3 Let c be (-4 - -14)*(-3)/(-6). Solve 3*w - 8 = c*w for w. -4 Let b(p) be the third derivative of p**5/30 - p**4/12 + p**3/6 - 2*p**2. Let t be 2 + (2 - 1) + -1. Let d be b(t). Solve -d*k + 5 = -0*k for k. 1 Let r be 2/12 - 33/(-18). Solve 3*y = r + 4 for y. 2 Suppose -2*t + 22 = 3*p, 5*t = -0*p - p + 29. Let v be ((-2)/(-7))/(10/140). Solve 7 = -v*j - t for j. -3 Suppose 2 = -4*x + 5*x. Solve x*c - 10 = -2 for c. 4 Let k(w) = w**2 + 6*w - 3. Suppose l + 4*l = -35. Let n be k(l). Solve -i = -n*i + 15 for i. 5 Suppose -2*v + 6 = -0*v. Let d be -1*(0 + 0/2). Suppose n = t + 6 - d, 0 = 5*n + 5*t - 10. Solve 0 = -j - v*j + n for j. 1 Let u = -10 - -16. Suppose 0*z + u*z = 12. Solve -3*f = -5 + z for f. 1 Let w(t) = 2*t**2 + t. Let n be w(1). Let h be (1 + 1)*(-18)/4
{ "pile_set_name": "DM Mathematics" }
c, -1/9? -1/9 Suppose -5*r - 18 + 106 = 2*h, 0 = 5*r - 2*h - 72. Let j = -22095 + 154663/7. Which is the third biggest value? (a) -5 (b) r (c) j a Let k be -1*((-1)/5 - 56/(-80))*-1. What is the second biggest value in 1/9, k, 2, 367, -2? 2 Let q = -156160 + 2340433/15. Let f = q + 131. Let y = 22.184 - 0.184. What is the third biggest value in f, y, 1? f Let j = -3.8226 - -3.5226. Let v = -602/3 - -204. Which is the third biggest value? (a) j (b) -0.03 (c) v a Let o = -20.8 + 19. Let p = 2 + o. Let k be ((-39)/195)/((-3)/9). Which is the second biggest value? (a) k (b) p (c) -4 (d) 6 a Let d = -568/2313 - -6/257. What is the smallest value in 10, 67, d? d Let o = 46.7 + -47. Let h = 0.742 - 0.742. What is the fourth biggest value in -51, o, -0.1, h? -51 Let n = 198 + -203. Let p = 39 + -40. What is the second biggest value in n, p, -4/7, -3? p Let g(u) = -u**2 - 7*u - 5. Let b be g(-5). Suppose -b*c + 0*m + m = 38, 4*c + m = -34. Let d be 2/4*((-80)/c - 0). What is the smallest value in -2/3, d, 5/13? -2/3 Let n = 3.9217 - -0.0783. Which is the smallest value? (a) 0.2 (b) n (c) 0 (d) -19/7 d Let j = -404/1845 - 2/615. What is the fourth biggest value in 2, j, 4, -20, -2/3? -2/3 Let n = -53/210 + 3/35. Let k = -291 - -288. What is the third smallest value in 41, n, k? 41 Let z = 2/43 - -39/86. Let j = 8411 - 8413. What is the third smallest value in j, z, 4, 0? z Let r = 10453 + -10453. What is the second biggest value in 1, 23, -3, r? 1 Let m = -0.17 + -12.03. Let i = -27 - -15. Let v = m - i. What is the third biggest value in -2/3, 0.12, v? -2/3 Let s = -8.9 + 9. Let p = s - -20.9. Let r = -19 + p. Which is the third biggest value? (a) -0.6 (b) r (c) 0.5 a Let z = 4083.6 + -4083. Which is the second smallest value? (a) 0.3 (b) 1/11 (c) z (d) -0.4 b Let y = -7 - -9. Let u = 27788/17 + -1634. Let j = u - 3/34. Which is the third biggest value? (a) -0.3 (b) y (c) j a Let i = -0.546 + 3.546. Let s be 2 + -2 + -4 + 3. Which is the third smallest value? (a) 34 (b) i (c) -3 (d) s b Let t = 130.7 - 747.7. Let p = t + 617.5. What is the smallest value in -7/2, -5, p, 1/5? -5 Let l = 931 + -126. Let y = l + -804.95. What is the smallest value in -0.3, -5, y, -1? -5 Let k = 5.97 + -272.97. Let i = k - -281. Let s = 5 + -6. Which is the biggest value? (a) 3/2 (b) -5 (c) s (d) i d Let i = -463 - -240. Let u = -226 - i. Which is the second smallest value? (a) u (b) 0.2 (c) -0.5 (d) 5/3 c Let h = -1.63 + 1.6. Let i = h + 0.12. Let z = 52 + -52.4. Which is the smallest value? (a) i (b) -4/3 (c) z b Let k = -11.089 + 1.089. What is the smallest value in -1/5, 1.5, k? k Let y be 5*(-27)/45 + -1 + -1. Let t = -28/5 - -6. Which is the smallest value? (a) -1/4 (b) y (c) t b Let p = 17709 + -17695. Which is the fourth smallest value? (a) 3/5 (b) -5 (c) 4 (d) p (e) 0.21 c Let o = -1262 + 884. Let i = o + 412.4. Let v = i - 34. What is the biggest value in 1/3, v, 4? 4 Let p be (-2)/(-3) + 16/(-15). Let h = 2/5 - -2/5. What is the third smallest value in -23, p, h? h Let i = -1 + 1. Let b = -374.96 - -373.76. Let o(a) = a**2 - 2*a - 5. Let x be o(4). What is the second biggest value in x, i, b? i Let z = 501 - 604. Let l be (-314)/(-3) + -11 + 9. Let k = z + l. What is the third smallest value in k, -2, 5/4? 5/4 Let v = 111.4 - 109.4. Let p = 136.5 + -136. What is the second biggest value in p, v, 0.13? p Let d be 18/(-12)*3*(-9 + (-3681)/(-405)). What is the third biggest value in -2/3, 2245, d, 1? d Let o(c) = -c**3 + 16*c**2 + 17*c. Suppose 0 = 2*y - 118 + 84. Let f be o(y). What is the third biggest value in 0.6, -2, f? -2 Let g = -0.763 + -6.147. Let m = g - 0.09. Let z be ((-2)/126)/(5/(-30)*1). What is the second smallest value in z, -3/7, m? -3/7 Suppose 56 = 23*x + 5*x - 0. Which is the fifth biggest value? (a) 4 (b) 1/17 (c) x (d) 0 (e) -10 e Let x = 0.842 - 0.842. Which is the second smallest value? (a) x (b) -0.3 (c) 1 a Suppose -157 + 147 = -45*c - 415. What is the fourth smallest value in -0.2, c, 6, 1/2? 6 Let z = 0.1 + -0.078. Let r = 33.922 - 34. Let p = z - r. What is the fourth biggest value in 1/11, -1/4, p, 2/9? -1/4 Let s = 439.7 - -128.3. Let p = -552 + s. Which is the biggest value? (a) p (b) 0.2 (c) -4 (d) 3/5 a Let v = -5620/21 - -1871/7. Which is the smallest value? (a) -20 (b) v (c) -4/9 (d) 5/4 (e) 2/5 a Let y = -43 + -11. Let h = y - -88.7. Let u = h - 35. What is the smallest value in u, 2/9, 5/11? u Let v = -374.53 - -377.53. Which is the smallest value? (a) -0.5 (b) v (c) -26/3 (d) 7 c Let l be -1*18/14 + 1. Let y = 58 - 62.1. Let w be ((-4)/3)/((-14)/21). Which is the second biggest value? (a) y (b) w (c) l c Let x = 580.68 + -589. Let n = x + 0.32. Which is the third smallest value? (a) n (b) 0.1 (c) -3/5 b Let z = 8170 - 8169.4. Which is the second smallest value? (a) -0.4 (b) z (c) 5 b Let v(b) = 2*b**2 - 3*b - 3. Let d be v(-1). Suppose -5*o = -3*s - 7 + 1, 0 = d*o + 2*s - 12. What is the biggest value in -12, o, 4? 4 Suppose -p + 2 = g + 1, 2*p = 4*g + 8. Let q be ((-810)/(-48))/(-27) + 2/8. What is the third biggest value in p, 5, q? q Let k = -1133.6 + 1134.6. Let j = 5 + 16. What is the second biggest value in k, j, -0.5? k Let l = -38995 - -38994. Which is the second biggest value? (a) l (b) -2 (c) -226/49 b Let s = -14580 - -14579.43. What is the second biggest value in s, 0.3, -9/4? s Let q = 4 - 5. Let n = 1036 - 999. Which is the second biggest value? (a) n (b) 0 (c) q b Suppose -r + 17 = 48. Let o = -37 - r. What is the second biggest value in 4, o, 0.4? 0.4 Let v be 27 - 19 - (0 - 15/9)*-3. What is the second biggest value in 0.3, 4, 0.5, v, 46? 4 Let d = 1579 + -1579. Let z = -74.125 - -0.125. What is the third smallest value in z, d, 0.5? 0.5 Let t be (2/7)/((-12)/(-14)). Let m = 1135.8 + -1136. Let y be ((-114)/(-44))/(-3) - -1. What is the third smallest value in t, y, m? t Let o = -479.1 + 479.2. Which is the fifth biggest value? (a) -3/2 (b) 0.4 (c) -3/7 (d) 9 (e) o a Let l = -3 + 3.43. Let b = l - 0.5. Let y = b - 0.43. What is the second smallest value in y, -2, 1/2? y Let q = 722/15 + -48. Let y = 75 + 71. Let f = 143 - y. What is the second smallest value in f, 4/7, q, 1? q Let t = -0.2 - -0.1. Let j(z) = 1284*z + 2569. Let q be j(-2). Which is the fourth smallest value? (a) -8 (b) t (c) -4 (d) q d Let l = -4.76495 + -0.23505. Let t be -2 - (-1)/(1/(-7)). Which is the second smallest value? (a) 0.2 (b) t (c) 0 (d) l d Let k be ((-126)/27 - 6/9) + 5. What is the second biggest value in -4/11, 44, k? k Let q be 12/3*(-3)/(-4). Let v be (2 - (-84)/(-45))*q. Let t = -31196 - -31195. Which is the fourth smallest value? (a) 2 (b) v (c) 2.1 (d) t c Let o = 899 - 8087/9. Suppose -r + 6 = l, 4*r = l + 6 + 8. Let v = 0.5 + -0.1. Which is the second biggest value? (a) v (b) -0.3 (c) r (d) o d Let w = 24639.4 + -24645. What is the fourth smallest value in w, 0.3, 0.2, -1/3, -1/2? 0.2 Let n = -4380 + 4385. Which is the biggest value? (a) 17 (b) -4 (c) n a Let y = 4.6 + -5. Let w be (-705)/(-9) - (-10)/6. Let l be (-4)/(w/6)*(-17 - -19). Which is the second smallest value? (a) y (b) -0.7 (c) l c Suppose -5*j - 7 = -12. Let m = 17708/3 - 90703/15. Let c = m - -144. What is the third biggest value in -2/15, c, j? c Let i = -9005 + 9001. Which is the fourth smallest value? (a) -2/33 (b) i (c) -2 (d) 4 (e) -1/9 a Suppose u - p + 3*p = 398, -5*u - 4*p + 2014 = 0. Suppose 400*q - u*q = -24. Which is the smallest value? (a) -1 (b) 1/7 (c) -5 (d) q c Let m be (-4010)/(-1203) + 11/(-6). Let l = -31 - -53. Which is the third smallest value? (a) l (b) m (c) 2/15 a Let p = 265 + -257. Let y be p + 2 + (-219)/21. What is the second smallest value in -3, 4, y? y Let h = 753 - 1994. Let m = h + 1369.2. Let v = -128 + m. Which is the smallest value? (a) -0.5 (b) 2/3 (c) 0.1 (d) v a Suppose -5*x = -2*z + 25, 2*z + 2*x + 0*x = 4. Suppose -2*q + z*a = -0*a + 19, -2 = -2*q - 2*a. Let w = -4770 + 4772. What is the biggest value in q, 1, w, -1? w Let v be ((-40)/150)/((-25)/(-375)). Which is the fifth biggest value? (a) v (b) -3 (c) -0.142 (d) 0.1 (e) 1 a Let l = 69.44 - -1.56. Let i = 1.32 - 69.32. Let x =
{ "pile_set_name": "DM Mathematics" }
Which is the third biggest value? (a) 0 (b) 23 (c) -0.1 (d) -0.622 c What is the fifth smallest value in 1/5, -2, -1849, -3, -1? 1/5 What is the second biggest value in 124297, -0.3, -0.5? -0.3 What is the second smallest value in 82, 1/4, -110? 1/4 What is the fourth biggest value in 21, 2, 1, 216, 2/11? 1 What is the smallest value in 14, -0.32, 2/5, -0.16? -0.32 What is the fifth biggest value in 0.3, 2/91, -5, 0.076, 1/4? -5 Which is the third biggest value? (a) 4 (b) 0 (c) -2 (d) 1/4 (e) -1.204 b Which is the biggest value? (a) 10 (b) -4 (c) -2 (d) -1/2 (e) -56/99 a Which is the third smallest value? (a) 2 (b) -0.35 (c) -756 a What is the fourth biggest value in -782, 77, 2, -0.1, 0.1? -0.1 Which is the fourth smallest value? (a) 3 (b) 48/7 (c) 1/8 (d) -0.04 b Which is the fourth smallest value? (a) 0.5 (b) -2/5 (c) -343 (d) -10.66 a Which is the second smallest value? (a) 1/2 (b) -2189 (c) 51 a Which is the smallest value? (a) -1/2 (b) 659 (c) -5 (d) 0.29 (e) -2/5 c Which is the fifth biggest value? (a) -1/8 (b) 2 (c) -0.1 (d) -0.04 (e) -76 e What is the second smallest value in 1/5, -0.3, 3/115, 1, -2/35? -2/35 Which is the second smallest value? (a) 3 (b) 109 (c) 8295 b What is the smallest value in -4, -1/8330, -0.08? -4 What is the third biggest value in -3/4, 0.02, 3, 14? 0.02 What is the smallest value in 2/3, 2, 4.3, -0.14? -0.14 Which is the smallest value? (a) -3 (b) 0.7 (c) -98 (d) 4 (e) -1/220 c Which is the fourth biggest value? (a) 8.4 (b) 2.8 (c) 0.2 (d) -1/5 d Which is the second biggest value? (a) 34089 (b) 2 (c) 20/23 b What is the fourth biggest value in 0.6, 0, -0.093, 0.5? -0.093 What is the fourth biggest value in -1/3, -2, -1/7, 1/19769? -2 What is the fifth smallest value in 5, -0.1, 2/7, 42, 0.16? 42 Which is the fifth smallest value? (a) -4/9 (b) -3.9 (c) 0 (d) -2/47 (e) 5 e What is the biggest value in 15/52, 5.9, -0.12? 5.9 Which is the fifth biggest value? (a) -5 (b) 0.29 (c) 1 (d) -0.1 (e) -4/197 a Which is the third biggest value? (a) -2 (b) -0.2 (c) 2 (d) -2.97 (e) -2/7 e Which is the third smallest value? (a) -1/4 (b) 22/41 (c) 1 (d) -19/2 (e) 0.5 e Which is the second biggest value? (a) -171 (b) 3 (c) -0.9 c What is the biggest value in -1/3, -0.1, 5.2, 1/27? 5.2 Which is the second biggest value? (a) -6/7 (b) 7/6 (c) 5/3 (d) -2/15 (e) 4/15 b Which is the second biggest value? (a) 8.54 (b) -2/7 (c) -4 b What is the fourth biggest value in 6/7, -49, 0.0534, -1? -49 Which is the fourth biggest value? (a) 3038 (b) -5 (c) 3/5 (d) 4 b Which is the smallest value? (a) -1/83 (b) -2 (c) -5/6 (d) 2/15 b What is the third smallest value in 12, -31, -61/8? 12 Which is the third biggest value? (a) 0.8 (b) 1/32733 (c) -2 c What is the biggest value in -5, 0.2, -136/475? 0.2 What is the second biggest value in -5, -3.1, 0.04, 249.9? 0.04 Which is the biggest value? (a) 0.25 (b) -252 (c) 10/3 c What is the second smallest value in -30, 2, 55? 2 Which is the biggest value? (a) 0.5 (b) -139 (c) 2/11 (d) 2.2 d What is the second smallest value in 0, -130.9, 6? 0 What is the second smallest value in 1628, -4, -0.2, 0? -0.2 What is the second smallest value in -5, -15.92, 1? -5 Which is the fifth biggest value? (a) -5 (b) 0.5 (c) 1 (d) -0.29 (e) -31 e Which is the second smallest value? (a) 0 (b) -34.67 (c) 0.01 a Which is the second smallest value? (a) 1/4 (b) -4 (c) 40/7 (d) 7 (e) 2 a What is the smallest value in -30, 2, 0.4, -3.6? -30 Which is the fifth smallest value? (a) -3/7 (b) -8/13 (c) -0.5 (d) 5 (e) -0.1 (f) -0.7 e What is the second biggest value in 2/5, 4/5, -6, -5/6, -7, 0.5? 0.5 What is the smallest value in 0.2, 0.11, 1/4, 3, 6, -107? -107 Which is the fourth biggest value? (a) -310 (b) 23 (c) -0.02 (d) -0.5 a Which is the smallest value? (a) -13 (b) 5 (c) -1 (d) -2/9 (e) 169 a What is the fourth smallest value in 5, -6/5, 25155, 0? 25155 What is the biggest value in -0.326, 0.3, 0.2, -5, 0.7? 0.7 What is the third biggest value in 61/5, 5, 104? 5 Which is the fourth biggest value? (a) -1 (b) 2/5 (c) 32 (d) -0.1 a Which is the fifth smallest value? (a) -0.15 (b) -0.3 (c) -5 (d) 0.2 (e) 2/21 d Which is the third biggest value? (a) 33 (b) -5 (c) -1/2 (d) -2/11 (e) -4 c Which is the second smallest value? (a) 1/2 (b) 2 (c) 3 (d) 1 (e) 3916 d Which is the second smallest value? (a) 4 (b) -17 (c) -1150 b Which is the smallest value? (a) 0.4 (b) -0.3 (c) 3/647 (d) -3 d What is the sixth biggest value in -4/45, -5, -1/50, -0.2, -1/9, 1? -5 Which is the second smallest value? (a) -1/490 (b) 0.1 (c) -1226 a Which is the second biggest value? (a) -1/11 (b) 2 (c) -0.8 (d) 0.63 d What is the second smallest value in -4, 1, 0.0111, -0.4, 2, 0.4? -0.4 What is the third biggest value in -0.14, -1, -4/35, 541? -0.14 Which is the fourth smallest value? (a) 0.1 (b) -125 (c) -0.07 (d) 0.2 (e) 1/3 (f) -0.3 a What is the second biggest value in 0.5, -27/37, 14? 0.5 Which is the second biggest value? (a) -0.02 (b) 0.0835 (c) -2/3 (d) -3/4 a What is the second smallest value in -2/3, 1, -1.009, -1? -1 What is the third smallest value in -2/9, -123, 14, 4/3? 4/3 What is the third smallest value in -41, 0.33, -1/5, 16? 0.33 What is the biggest value in -2, 61, -74.821? 61 What is the fourth smallest value in 1/5, -4, 168/25, 3, -2/19? 3 What is the third biggest value in -100, -2/7, 0.1, -6? -6 What is the third smallest value in 0.5, 2/3, -1/4, 0.1, 0.061? 0.1 What is the biggest value in -1/4, 132/29, 2/3? 132/29 Which is the third smallest value? (a) 4 (b) -2/9 (c) 124 c Which is the fourth biggest value? (a) -0.3 (b) -140 (c) 100/13 (d) -7 b Which is the fourth smallest value? (a) -6 (b) -3 (c) 2/5 (d) 5 (e) -0.2 (f) 99 c What is the third smallest value in 0.093, -1.38, 0.09, -0.5? 0.09 Which is the biggest value? (a) 0.1 (b) 2813/16 (c) 1/3 b What is the third biggest value in -6/5, 32.83, -3, 4? -6/5 Which is the fourth smallest value? (a) -23 (b) -0.3 (c) -0.1 (d) -4 (e) -9 b What is the fourth biggest value in 3/2, -1, 2/899, -5, -0.1? -1 Which is the fourth biggest value? (a) -10 (b) 0 (c) -2 (d) 4 (e) 1/7 (f) 474 b Which is the smallest value? (a) -4 (b) -5 (c) -2263 (d) 1 (e) 2/3 c What is the fifth smallest value in 155, 3, -2/9, -0.4, -2/87? 155 Which is the biggest value? (a) -101 (b) -0.02 (c) -0.1 (d) -4.1 b Which is the smallest value? (a) 2/11 (b) -1 (c) -0.1 (d) -1/16 (e) 1/4 b Which is the smallest value? (a) -192 (b) 7 (c) -3 a What is the smallest value in -0.013, 0.27, -5, 2/7? -5 What is the smallest value in 0, 3, 2/3, -141, 0.048, -6/7? -141 Which is the smallest value? (a) 0 (b) 4 (c) -3 (d) 141 (e) -0.5 c What is the second biggest value in 1/11, -4, -148/29? -4 Which is the third biggest value? (a) 0.1 (b) 25 (c) -77 (d) -2 (e) 0.16 (f) 0 a Which is the fourth biggest value? (a) -6 (b) 3336 (c) -0.4 (d) 6 a Which is the third smallest value? (a) 2 (b) -1 (c) -96 (d) -3 (e) -6/5 e What is the second smallest value in -2371, 0.15, -7? -7 What is the fourth biggest value in -5, 4, -2/473, -83? -83 What is the third biggest value in 3, 2/3, 1/2, 1.6, 0.06, -0.2? 2/3 What is the third biggest value in -0.06, 1, -1/60, 0.1? -1/60 What is the third biggest value in 193, -3/5, 1/6, -1/33? -1/33 Which is the smallest value? (a) -3 (b) 0.2 (c) 5 (d) -1781 d Which is the fifth smallest value? (a) 70/3 (b) 2 (c) -5 (d) -2/17 (e) 286 e What is the sixth smallest value in -4, -1/2, -2/9, -0.15, 12, -52.6? 12 What is the second biggest value in -61, 60, 3/8, 0.5? 0.5 What is the second biggest value in 0.4, -10, -2/3, -0.183, 1/7? 1/7 Which is the sixth biggest value? (a) -3 (b) -127 (c) -1/4 (d) -23 (e) -0.07 (f) -0.05 b What is the second smallest value in -8, -1, -15, 7? -8 What is the smallest value in -5, 103, 0.5, -0.39, -3? -5 What is the biggest value in 406, 0, -0.4, 4, 41? 406 What is the fourth biggest value in -2, -0.1, -2/7, 1.2, 3/7? -2/7 Which is the third biggest value? (a) 8368 (b) -0.3 (c) 11 b What is the biggest value in -88, -5, 16, -0.1? 16
{ "pile_set_name": "DM Mathematics" }
m + 5*h, 4*m + 4*h + 17 + 15 = 0. Suppose 5*v = -22 - 48. Is m < v? False Suppose -2*v + 3*v - 3*m = 5, -4*m = -2*v + 6. Is v at least as big as -1/2? False Let u(f) = -5*f + 13. Let r be u(14). Let y = r - -57. Which is smaller: 1/98 or y? y Let v(n) = -n**3 - 5*n**2 - 2*n - 6. Let w be v(-4). Let x = -15 - w. Is -2/13 less than x? False Let f = 1.989 + 0.011. Is 4/203 less than f? True Let y = -2 + 2.2. Suppose 4*u = -2*u + 3*u. Suppose 0 = -2*z + 2*d, u = 3*z + 2*z + 4*d. Which is smaller: z or y? z Suppose 10*q - 46 = 11*q. Let f = 51 + q. Which is greater: 1 or f? f Let m(y) = -10*y**2 + 70*y + 1. Let z be m(7). Is z equal to 48/43? False Let p = -75.9595 + -0.0405. Is 2 at least p? True Suppose 5*w - w = -84. Let z be -2 - -5 - (-70)/w. Which is smaller: z or 8? z Suppose -4*w - 2*l = 22, 5*l + 1 + 4 = 0. Let a = w - -5. Suppose 3*h - 5*h + f = a, 5*f + 11 = -h. Does h = 1/8? False Let l = -188 - -157. Let t = 3.9 + 28.1. Let d = t + l. Which is greater: -15 or d? d Let f = -2646 - -18474/7. Suppose 2*k + 12 + 4 = 0. Which is bigger: f or k? f Let g(b) = -3*b**3 - 5*b**2 + 21*b - 3. Let c be g(-6). Is 338 equal to c? False Let x = 7069 - 1915697/271. Which is bigger: 0 or x? x Let w = -218661/76 - -57217/20. Let r = w - -169/10. Which is smaller: 1 or r? r Let a = -251 - -2255/9. Suppose 4*n = -3*l + 9 - 0, 0 = -4*n + 4*l - 12. Let w = n - 0. Are a and w unequal? True Let b(v) = v**3 - v**2 + v - 4. Let r be b(2). Suppose -60 = -3*m - r*m. Is m less than 12? False Let l(p) = -p**2 + 13*p - 10. Let k = -7 - 1. Let o = k - -20. Let y be l(o). Are y and 1 non-equal? True Let i(n) = 7*n**2 + 38*n + 14. Let q be i(-5). Which is smaller: -1/297 or q? q Suppose 9*j - 379 = -361. Is -73 at most j? True Let d = -51/11 + 1217/253. Is -1 less than d? True Let u(n) = -n + 14. Let p(s) = -6*s + 71. Let k(a) = -2*p(a) + 11*u(a). Let t be k(-10). Suppose -t*c + 7*c = 0. Is -4/5 greater than or equal to c? False Let p be (-7 + 5)/((-2)/(-4)). Let m(g) = -3*g**2 - 6*g - 3. Let l be m(p). Let d = -27 - l. Which is smaller: -2/57 or d? -2/57 Let t = 56 - 56.1. Let f(j) = j**2 + 2*j - 3. Let a be f(-4). Let h be (-1 - a)/(8/12). Is t at most h? False Let k be 2*2/24*4*-1. Suppose 1 - 9 = -l. Which is greater: k or l? l Let h(n) = n**3 + 3*n**2 - 7*n - 6. Let q be h(-4). Let y(z) = -z - 3. Let g be y(-6). Suppose -g*i = 11 - 29. Are i and q nonequal? False Suppose 0 = 3*v + 3*t - 12 + 3, 0 = -2*v - t + 5. Let m(n) = 12*n + 6. Let i be m(-6). Let g = i - -200/3. Are v and g nonequal? True Suppose 70 = 3*y + u, 9*y - 7*y = -2*u + 52. Do 20 and y have the same value? False Let y = 804 + -862.3. Let q = y + 61. Let u = -2.8 + q. Is u bigger than -0.7? True Let a(p) = 4*p - p - 4*p - 21. Let i be a(-15). Let o be 10/(-15)*i/(-4). Is -4/5 greater than o? True Let i(j) = -2*j - 6. Let d be i(-3). Suppose d = -8*y + 3*y + 10. Is 2/3 != y? True Let w = 1524 - 1547. Are -28 and w equal? False Let r = 15259/5 - 3035. Is r less than 17? True Suppose 5*c - 29 = -h - 3*h, -4*h - 3*c = -19. Which is smaller: -1/6 or h? -1/6 Suppose 0*m = -m + 60. Suppose 4*p + 8 = -2*h, -3*p = -5*h - 15 + m. Suppose i + i = 12. Does i = h? True Let b be (134/5)/2 - (-18)/(-45). Let v(z) = z**2 - 12*z - 21. Let s be v(b). Suppose -3*m + 28 = -7*m. Which is greater: s or m? m Let g = -125 - -132. Let w be 5/(-5)*((-50)/g - 2). Which is smaller: w or 8? 8 Let i(c) = -2*c**2 + 16*c - 2. Let m be i(8). Which is bigger: -5 or m? m Let q be 35/(-14)*84/10. Which is bigger: 2 or q? 2 Let f = 121.3 - 128.37. Let x = f + 6.8. Let r = -0.07 - x. Which is greater: r or -4? r Let k be (1 - (-84)/(-100))*-1. Let r(v) = 3*v**2 + 6*v - 1. Let i be r(0). Is k < i? False Let i(k) = k - 9. Let y(t) = 5*t**3 + t**2 + 2*t + 1. Let q be y(-1). Let r be i(q). Suppose 0 = 2*l - 4*l - 30. Is l at most r? True Suppose 1961*u = 1983*u - 154. Let a = -0.2 - -0.3. Are u and a equal? False Let s(w) = -2*w**2 + 11*w - 4. Suppose 0 = 2*j + 4*v - 26, 0*j = 3*j + 5*v - 35. Let b be s(j). Let y = -4 - -10. Are b and y equal? False Let b(n) = -16862*n**3 + n**2 + n. Let y be b(-1). Let a = y + -2360641/140. Let j = a - 1/35. Is -2 at most as big as j? True Let k = 4 + -7. Let z be 12/(-9) + (-85)/k. Let u be (z/42)/(-2 - -5). Is u at most as big as -1? False Let x = 2.9 + 12.1. Let r = x - -8. Let n = -22 + r. Is n equal to 0.04? False Let g = -4264.5 - -4239.5. Let t = -0.2 - 0.8. Is g bigger than t? False Let j = -88 - -130. Let s = -24 + j. Let i = -22 + s. Are -1 and i nonequal? True Let k(g) = -35*g**2 - 31*g - 7. Let q be k(-5). Is q at most as big as -726? True Let z be (-116)/(-366) + 0 + (-3)/9. Which is smaller: -1 or z? -1 Let n = 37 + -37. Suppose 7*x + 19 = 2*g + 2*x, -5*g - 4*x + 31 = n. Suppose 0 = 2*w - 27 + 11. Is w greater than g? True Suppose 3*z = -5*c - 7, -2*z + 9 = -4*c - 1. Suppose 5*r + 14 = -2*j - 0, 5*j = 3*r - 4. Is c greater than j? False Let y be -3 - (-4 - (-231)/233). Which is greater: y or 0? y Let p(g) = 4*g**2 + 8*g. Let d be p(4). Let z be ((-2)/(-8))/((-156)/d). Is 1 smaller than z? False Let r be 8*(-5)/(-5) + -3. Suppose -r*f - 5 = -3*g - 0*g, 3*g - 1 = f. Which is bigger: g or 6/17? 6/17 Let u be (15 + -12)/(-3 - 0). Are 11/46 and u equal? False Let c = 0.2097 - -0.3903. Is -24/13 greater than or equal to c? False Let w = -85 - -90. Let a be (-49)/(-3) + w/(-15). Is 14 greater than a? False Let h = -321 + 324. Let u be -8*(1/(-2) + 0). Suppose -b + u = h*b. Which is greater: 3/5 or b? b Let c(t) = 801*t**2 - 5*t + 5. Let a be c(4). Let x be 15830/a - -3 - 4. Let o = -1/753 + x. Which is smaller: 1 or o? o Let z = 560 + -707. Which is smaller: -149 or z? -149 Let w = 330445/6324 - 4/1581. Which is greater: w or 53? 53 Let w(i) = -i**2 - 18*i + 16. Let d be w(5). Which is bigger: d or -10? -10 Let j = -3 - -9. Let k be (-26)/104 + ((-74)/(-8))/1. Let x be (-1)/j - 3/k. Which is greater: x or -0.23? -0.23 Let j be (-2)/5 - 2134/(-4785). Which is greater: 0 or j? j Let x = 7.1 + -6.1. Let d = 8 - 5. Let q be -2 + d/(27/16). Is q smaller than x? True Let q = 1.941 - 0.811. Is 3 <= q? False Let k = 10.77 + -20.04. Let t = 66.27 + -66. Let x = k + t. Is -0.2 > x? True Suppose 4*j + 3894 = -7*j. Let v be (j/1190)/(-1) - (-36)/(-126). Is 0 <= v? True Suppose 0 = -2*u - i + 6 + 2, -u = -2*i + 6. Suppose 4*a = u*a - 20. Which is bigger: -9 or a? -9 Suppose -4*g - 2*w = 90, g - 2*w + 18 = 2*w. Let q = 45 + g. Is q <= 2/7? False Let g = -371 - -242. Which is bigger: -130 or g? g Let a = -12 + 17. Let j(p) = -12*p**2 - a*p - 5*p + 19 - p**3 - 7. Let d be j(-11). Is -1/9 equal to d? False Let t be (-6 + 0)*16/(-3). Let u = t - 31. Which is greater: -1/3 or u? u Let q(d) = -6*d + 8*d - 4*d + 42. Let c be q(21). Which is smaller: 2/77 or c? c Let k = 26 - -22. Let v = 49 - k. Which is smaller: 7 or v? v Let g = -83/308 - -3/154. Which is greater: -13 or g? g Let y be 2 + 39*(-3)/9*49. Let b = 20950/33 + y. Is -1 <= b? True Suppose 5*v - 86 = 14. Let y be (4/v)/((-2)/10). Which is smaller: 1/3 or y? y Let n(j) = -7*j + 6. Let d(g) = g - 1. Let i(m) = -6*d(m) - n(m). Let k(r) = 8. Let l(z) = -i(z) + k(z). Let a be l(8). Is a equal to -2/9? False Let i = -33.9 + 34.9. Is i less than -9/8? False Let c(b) = 0*b - 2*b + 2 + 2. Let h be c(-5). Let r = -480 + 495. Is r equal to h? False Let c = -220 + 139. Is -82 at most c? True Let s be (-101)/(-4)*-2*72/36. Is -101 less than s? False Let u = 271941/67 - 4059. Are 0 and u nonequal? True Suppose 46 - 37 = -h. Let l = -4 + 3. Which is smaller: l or h? h Let o = 186 - 184. Which is smaller: -0.006 or o? -0.006 Let z be (-157)/(-2) + (-3)/(-30)*-5. Are z and 78 nonequal? False Let a(o) = o**3 + 5*o**2 + o - 1. Let l be a(-5). Let q be 0 + 2/(l + 4). Are 3/19 and q nonequal? True Let z(p) = -2*p**3 - 17*p**2 + 25*p + 43. Let n be z(-10). Is n less than or equal to 93? True Let k(w) = 4*w**2 - 2*w + 5. Let y be k(3). Which is greater: 25 or y? y Let h = 229 - 229. Which is greater: 3/26 or h? 3/26 Let v = 4.167 + -0.067. Let r = -4 + v. Is -14 >= r? False Let h(d) = 5*d - 103. Let n be h(-11). Which is smaller: n or -159? -159 Suppose -5*q + 10 = -3*n + 5*n, -2*q + 4 = -n. Is q at most as big as 50/17? True Let a = 39 + -88. Let g be (14/a)/(0 + -1). Which is
{ "pile_set_name": "DM Mathematics" }
ecreasing order. 11, 3/47, -0.1, -2/11, -0.5 Sort -757, -2, 0, 5, -3 in decreasing order. 5, 0, -2, -3, -757 Sort 2/23, -34, 12 in descending order. 12, 2/23, -34 Sort -3, 8, -638, -2 in descending order. 8, -2, -3, -638 Put -28686, -3, -5, 2 in decreasing order. 2, -3, -5, -28686 Sort 0, -3, 1725, 11 in descending order. 1725, 11, 0, -3 Put -31, 7, -22, 4, 0 in decreasing order. 7, 4, 0, -22, -31 Put -17, -5.85, -3 in decreasing order. -3, -5.85, -17 Put -1/5, 21, 4 in ascending order. -1/5, 4, 21 Put -5, -531, 0, 1, -33 in decreasing order. 1, 0, -5, -33, -531 Put 546, -4, -2, 4, 1, 0 in increasing order. -4, -2, 0, 1, 4, 546 Sort -1, 22, -462. -462, -1, 22 Sort -6, 2/13, 0.12597, -3, -1/3 in decreasing order. 2/13, 0.12597, -1/3, -3, -6 Sort 73, -2, 8, 2, 0, -4. -4, -2, 0, 2, 8, 73 Sort 2218, 5, -3, -37 in ascending order. -37, -3, 5, 2218 Sort 71, 3, 5, -27, -4, 0 in ascending order. -27, -4, 0, 3, 5, 71 Put -10, 136, -0.17 in descending order. 136, -0.17, -10 Put -19, 0, 4, 24, -800 in decreasing order. 24, 4, 0, -19, -800 Sort -1, 38, 15, 4. -1, 4, 15, 38 Put 2/5, -3/7, -44502 in decreasing order. 2/5, -3/7, -44502 Sort -1, -3, 2, -4033. -4033, -3, -1, 2 Sort 1/162, 0.4, 1.1 in increasing order. 1/162, 0.4, 1.1 Sort -4/1213, 2/3, -3 in increasing order. -3, -4/1213, 2/3 Sort 162, 7, 1, -2/3. -2/3, 1, 7, 162 Put 93, 5, 157 in descending order. 157, 93, 5 Sort 3, 2, 8, 74, 1, -3 in descending order. 74, 8, 3, 2, 1, -3 Put 0.5, 1.5, 2, 1174 in ascending order. 0.5, 1.5, 2, 1174 Sort -12, 4, -3826. -3826, -12, 4 Put -154, 5, 12, -5, 3, 1 in decreasing order. 12, 5, 3, 1, -5, -154 Sort -4, -8, -5, -1807, 11 in decreasing order. 11, -4, -5, -8, -1807 Put -3, -0.122, 2, 17, 1/19 in descending order. 17, 2, 1/19, -0.122, -3 Sort 0.3, 0.52174, 2 in descending order. 2, 0.52174, 0.3 Put 1, -263, 4, -3, 116 in decreasing order. 116, 4, 1, -3, -263 Sort 0.6, 306, 9 in descending order. 306, 9, 0.6 Sort 1/2, 3, 4708. 1/2, 3, 4708 Put -1, -928, -2, 2 in ascending order. -928, -2, -1, 2 Sort 2, -719, 1.1, -0.5. -719, -0.5, 1.1, 2 Put 5, -14, -0.07, -0.7, -2, -3 in descending order. 5, -0.07, -0.7, -2, -3, -14 Sort 3, 1, -56, 328, -2 in decreasing order. 328, 3, 1, -2, -56 Put 0, 1024, -19 in decreasing order. 1024, 0, -19 Sort 3, -5, -68659. -68659, -5, 3 Sort 2, 5, -5, -94, 8 in decreasing order. 8, 5, 2, -5, -94 Put -6, 4, -1082 in descending order. 4, -6, -1082 Put 2360, 3, -51 in decreasing order. 2360, 3, -51 Put 5/9, -2/5, 0.1, 1/54, -1/3 in ascending order. -2/5, -1/3, 1/54, 0.1, 5/9 Put -7, 0.2, -27/37, -11 in ascending order. -11, -7, -27/37, 0.2 Sort -20, 4, -960 in descending order. 4, -20, -960 Sort 0.3, 5, 0.07, 0.15 in descending order. 5, 0.3, 0.15, 0.07 Sort 1/4, -26, 1.053, 0.4 in increasing order. -26, 1/4, 0.4, 1.053 Sort -2, 0, -22, -16, -4 in descending order. 0, -2, -4, -16, -22 Sort 179, 7, 34 in ascending order. 7, 34, 179 Put -1, 10/7, 0.4, -1/6, 4998 in ascending order. -1, -1/6, 0.4, 10/7, 4998 Sort -3/19, -34, -2, 2, 1/3. -34, -2, -3/19, 1/3, 2 Put -10, -86, 5, -5, -3, 2 in increasing order. -86, -10, -5, -3, 2, 5 Put 2, 11, -1/7, -8 in descending order. 11, 2, -1/7, -8 Sort 1, -2, 0, 4, 16, 28 in decreasing order. 28, 16, 4, 1, 0, -2 Put 4, 0.2, -440/5161 in increasing order. -440/5161, 0.2, 4 Sort 20, 3/2, 0.4, 0.3, -2/31, 14 in increasing order. -2/31, 0.3, 0.4, 3/2, 14, 20 Put -123, -4, 0, -3, 4 in ascending order. -123, -4, -3, 0, 4 Sort 4/7, -1.78, 3 in descending order. 3, 4/7, -1.78 Sort 4, 1, 26, 8 in ascending order. 1, 4, 8, 26 Put 1, -2/11, -4, -67.6, -3 in descending order. 1, -2/11, -3, -4, -67.6 Sort 3087, 15, 0.2, 3, -2. -2, 0.2, 3, 15, 3087 Put 1, -206073, -3, -4 in decreasing order. 1, -3, -4, -206073 Put 2/7, 29/16, -3, 0.16, 4 in decreasing order. 4, 29/16, 2/7, 0.16, -3 Sort 1/11, 4/3, -40.2 in descending order. 4/3, 1/11, -40.2 Sort -1/5, -2, -3/2, 13/21 in increasing order. -2, -3/2, -1/5, 13/21 Put 51, -3, -6, 0, -5 in descending order. 51, 0, -3, -5, -6 Sort -0.2, 77, 0.9 in increasing order. -0.2, 0.9, 77 Put 4, -1, 5, -137 in ascending order. -137, -1, 4, 5 Put -5, 0.329, 1/9, -3/5, 46/7 in decreasing order. 46/7, 0.329, 1/9, -3/5, -5 Put 4, 0, 1/8, 525, -0.6 in increasing order. -0.6, 0, 1/8, 4, 525 Put -937578, 0.1, 1/7 in increasing order. -937578, 0.1, 1/7 Sort -2/23, 0.1, -22, -5/3 in ascending order. -22, -5/3, -2/23, 0.1 Put 3, 4038, 9 in decreasing order. 4038, 9, 3 Sort -87, -61, -0.33 in increasing order. -87, -61, -0.33 Sort -4, 3, -10, 0.4, -3.9, 5 in ascending order. -10, -4, -3.9, 0.4, 3, 5 Sort 1, 6306, 0.4, -0.2, -6 in increasing order. -6, -0.2, 0.4, 1, 6306 Sort 49, -4/7, 0, -1/5, 0.15, 5. -4/7, -1/5, 0, 0.15, 5, 49 Put -2, 5, -4, 31, 3, 2 in descending order. 31, 5, 3, 2, -2, -4 Sort -7, 0, 563, -1 in descending order. 563, 0, -1, -7 Sort -0.01, 1/4, -0.1, 0, -1/7. -1/7, -0.1, -0.01, 0, 1/4 Sort 0.1, -93, 1/3, 0.3, 4, -0.2 in increasing order. -93, -0.2, 0.1, 0.3, 1/3, 4 Sort -3/5, -7.4, -227. -227, -7.4, -3/5 Sort -4, -2, 6376, 2. -4, -2, 2, 6376 Put -5, -6, 0.4385 in ascending order. -6, -5, 0.4385 Put -23, -3, -72, 3, -5, -4 in descending order. 3, -3, -4, -5, -23, -72 Sort -0.06, -0.02, -3/353, 1 in decreasing order. 1, -3/353, -0.02, -0.06 Sort -5, -13, -1/3, -2, 3, 0.3 in increasing order. -13, -5, -2, -1/3, 0.3, 3 Sort -3, 532, -1062 in decreasing order. 532, -3, -1062 Sort -6, -3/5, -2, -4, -0.02605 in decreasing order. -0.02605, -3/5, -2, -4, -6 Sort 2, -1, 1, -5, 1970 in descending order. 1970, 2, 1, -1, -5 Sort -1, -177, 2, -4, -6 in descending order. 2, -1, -4, -6, -177 Put -64, 3, -4, -1342 in decreasing order. 3, -4, -64, -1342 Sort 4, 1456, 7 in increasing order. 4, 7, 1456 Put 0, -6, 0.7, -3.5, -0.4, 8 in descending order. 8, 0.7, 0, -0.4, -3.5, -6 Sort 8, 481, 211. 8, 211, 481 Put -20, 22, 95, 3 in descending order. 95, 22, 3, -20 Put 4, -309, 1 in descending order. 4, 1, -309 Sort 945, -5, -10, -4, -1 in decreasing order. 945, -1, -4, -5, -10 Sort 0.03, -0.05, -96/19 in increasing order. -96/19, -0.05, 0.03 Sort 5, 17, 1189. 5, 17, 1189 Put -11, -59, 29, 2 in ascending order. -59, -11, 2, 29 Sort 3, 17, 1020 in ascending order. 3, 17, 1020 Sort -762, 2, -4, 3, 0 in descending order. 3, 2, 0, -4, -762 Sort -28061, 3, 2 in increasing order. -28061, 2, 3 Sort -0.5, 0.2, 49.4, 1, -0.03 in ascending order. -0.5, -0.03, 0.2, 1, 49.4 Put 11, -6, 1, -3 in decreasing order. 11, 1, -3, -6 Sort -1, -3, -242, 3, -52 in ascending order. -242, -52, -3, -1, 3 Put 5, 3/7, -697, 0.1, 7 in decreasing order. 7, 5, 3/7, 0.1, -697 Put 5, -1/2, -0.4, -135586 in descending order. 5, -0.4, -1/2, -135586 Sort -4/3, -120.361, -2/7 in decreasing order. -2/7, -4/3, -120.361 Put 3, -5, 36876 in increasing order. -5, 3, 36876 Sort -1/16, -4, -0.4, 0.5, -2, -5 in increasing order. -5, -4, -2, -0.4, -1/16, 0.5 Sort 450, -5, 0 in decreasing order. 450, 0, -5 Sort 13578, -4, 0, 2, 4. -4, 0, 2, 4, 13578 Sort -1, -15, 259, 2, 1 in descending order. 259, 2, 1, -1, -15 Sort -2/17, -102/19, 0, 0.7 in ascending order. -102/19, -2/17, 0, 0.7 Sort -132, -0.3, -0.6, 290 in descending order. 290, -0.3, -0.6, -132 Sort 7, 0.3, -6, 6/7, 3, 0.7 in descending order. 7, 3, 6/7, 0.7, 0.3, -6 Sort -770, -2, -65 in ascending order. -770, -65, -2 Sort -7, -5, -4, -3, 124 in ascending order. -7, -5, -4, -3, 124 Put 37, 4, 3, -3, 24 in ascending order. -3, 3, 4, 24, 37 Put -11, 83, 104 in ascending order. -11, 83, 104 Sort -945.5, -0.06, 1 in descending order. 1, -0.06, -945.5 Sort 1, 7/8, -0.3, 0.0765, 0.4 in increasing order. -0.3, 0.0765, 0.4, 7/8, 1 Put 0.1, -42, -1/11, 0.2 in descending order. 0.2, 0.1, -1/11, -42 Put -2, 14, -3, 2/17, -6/7, -4 in increasing order. -4, -3, -2, -6/7, 2/17, 14 Sort 4, -1, 5, 183, 0, 1 in decreasing order. 183, 5, 4, 1, 0, -1 Put -2, -118, 17 in increasing order. -118, -2, 17 Put -4, -1/2, -1/431, -1 in decreasing order. -1/431, -1/2, -1, -4 Put -6, -279, 3, 1 in increasing order. -279, -6, 1, 3 Put -21, -3, -1164, -25 in ascending order. -1164, -25, -21, -3 Put -2/5, 3/7, 5.8, -2/11, -23, -5 in ascending order. -23, -5, -2/5, -2/11, 3/7, 5.8 Put -4, 15, -3, 131, -11, -2 in decreasing order. 131, 15, -2, -3, -4, -11 Sort -5, -736, -1, 40 in ascending order. -736, -5, -1, 40 P
{ "pile_set_name": "DM Mathematics" }
-3*t + u*r, 0*t - 16 = -2*t + 4*r. What is the units digit of t? 6 Let z be 3*(6 - 160/12). Let k = z + 178. What is the units digit of k? 6 Suppose 0 = 6*u - 78 - 498. What is the tens digit of ((-32)/u)/(1/(-699))? 3 Let f = 669 - -100. Let p = -459 + f. What is the units digit of p? 0 Let h(x) = -17*x - 32. Let i be h(-3). Suppose -963 = -22*k + i*k. What is the units digit of k? 1 Suppose 2*x = 2*n - 88 + 6, n - 161 = 4*x. Let u = 42 + x. Suppose u*d = -y + 92, 2*d - 56 = 2*y + 36. What is the tens digit of d? 4 Let u be 37 + -28 - 7*1. Suppose -2*n + 235 = u*j - 43, -5*j + 25 = 0. What is the hundreds digit of n? 1 Let r = -42 + 43. Suppose 5*q - j - 11 = 0, r = 4*q - 5*q - 3*j. Suppose -121 = -4*l - 3*n, l + q*n = -0*n + 24. What is the units digit of l? 4 Suppose -y - 2*y + 42 = 4*m, -3*y = -5*m - 15. Suppose -4*x + 2*c = -0*x + y, -5*c + 25 = 4*x. Suppose x = 2*o + 3*o - 165. What is the tens digit of o? 3 Let s be 9 - ((-76)/57)/(2/3). Suppose s*d - 7713 - 1967 = 0. What is the hundreds digit of d? 8 Suppose 0 = -6*v + v + 3*u - 747, 4*v = 5*u - 608. Let l be 88 - ((-2)/(-17) + v/(-51)). Let w = l + 46. What is the hundreds digit of w? 1 Suppose -1 = 4*z - 17. Suppose 3*n - 2*k + 192 = z*n, -5*n + 5*k + 975 = 0. What is the tens digit of n? 9 Let q = 23678 + -8560. What is the thousands digit of q? 5 Let d be ((-62)/(-4))/((-3)/30*-5). Let p = d - 27. Suppose -p*y = 4*t - 684, 0 = -5*y + t + 4*t + 905. What is the tens digit of y? 7 Let k(m) = -46262*m**3 + 50*m + 50. What is the units digit of k(-1)? 2 Suppose 0 = -q + 110 + 132. Suppose 5*r - 630 = -5*s, -6*s = -2*r - 10*s + q. What is the units digit of r? 1 Let j = 409 + -396. Let m(d) = -26*d + 348. What is the tens digit of m(j)? 1 Let s be (1 + 4)/(15/711). Let u = s - -103. What is the hundreds digit of u? 3 Suppose -48*u = -195*u + 1401939. What is the units digit of u? 7 Let i(m) be the third derivative of -137*m**4/12 + 15*m**3/2 + 30*m**2 - 3*m. What is the thousands digit of i(-4)? 1 Suppose 0 = 3*v - i - 30, v + i + 1 = 5*i. Suppose 2*q - 9 = v. Let o = q - -10. What is the units digit of o? 0 Suppose 0 = 5*j + 8*j - 65. Suppose -3*g + j*i + 323 = 0, 4*g - 223 = 2*i + 203. Let f = 268 - g. What is the units digit of f? 2 Let n(f) = 5*f**2 - 9*f + 8. Let t be n(2). Let d be 122/5 + 12/20. Let y = d + t. What is the tens digit of y? 3 Suppose 7*a + 868519 + 437999 = 41*a. What is the thousands digit of a? 8 Let j(k) be the third derivative of 5/4*k**4 - 42*k**2 + 0*k - 7/6*k**3 + 0. What is the hundreds digit of j(9)? 2 What is the units digit of 17/(408/1116072) + 22? 5 Let v be 4 + -1 + 4/(-2). Let n(r) = r - 1. Let f(k) = 72*k**2 - 2*k + 3. Let l(i) = v*f(i) + n(i). What is the tens digit of l(1)? 7 Let n = -92 + 102. Suppose -3*b + 4 = -5*i, i - 4*b - n = 2*i. Let u = 63 + i. What is the tens digit of u? 6 Suppose 5*x + 3*u + 40 = 0, 0 = -x + 16*u - 14*u + 5. What is the units digit of 70*5*(x - -7)? 0 Let n = 11908 + 28993. What is the ten thousands digit of n? 4 Let m be (-4)/(-12) + (-29544)/(-9). Suppose 2426 = 33*y - m. What is the units digit of y? 3 Suppose 320*l - 345*l = -382825. What is the thousands digit of l? 5 Suppose -73984 = -7*r - k, -25*r = -24*r - 2*k - 10582. What is the ten thousands digit of r? 1 Let h(y) = 3*y + 21. Let g be h(-6). Suppose -2*b - 6 - 4 = 0, -g*a - b + 130 = 0. Let c = 16 + a. What is the tens digit of c? 6 Suppose -79996 = 29*z - 122*z + 239738. What is the tens digit of z? 3 Suppose 138*l - 29271 = -3*f + 133*l, -19514 = -2*f + 4*l. What is the units digit of f? 7 What is the tens digit of (-2)/(((-1)/((-1122)/(-6)))/40)? 6 Suppose 10*u - 1756 = -12246. Let g = u + 1828. What is the hundreds digit of g? 7 Let o be 5/(-4)*(62 - 78). Suppose -4778 - 9322 = -o*z. What is the hundreds digit of z? 7 Let l = -28 - -33. Suppose 37 + 30 = -v + 5*w, -5 = -l*w. Let o = v - -95. What is the units digit of o? 3 Let w(q) = 16*q + 153. What is the tens digit of w(3)? 0 Let p(c) = -c + 131. Let d(x) = -3*x**3 - 2*x + 5. Let k be d(-2). What is the units digit of p(k)? 8 Let c = -13709 - -23179. What is the hundreds digit of c? 4 Let q = 0 + 14. Suppose -9*s - 104 = -122. What is the units digit of (q/4 - s) + 616/16? 0 What is the units digit of (-50)/(-1125)*883105 - (-2)/(-18)? 9 Let u be (-19155)/(-9) - ((-100)/15 + 6). Suppose -5*b + 10*b = -3*s + u, -3*s = -5*b + 2111. What is the units digit of b? 4 What is the hundreds digit of ((-1095)/12)/(6/(-72))? 0 Let s = 32 - -2. Suppose 5*c + s = 14. Let y(z) = -z + 23. What is the tens digit of y(c)? 2 Let b be 87/15 + (-60)/75. Let j(o) = -2*o**2 + o + 25. Let k(x) = -3*x**2 + x + 24. Let a(i) = 4*j(i) - 5*k(i). What is the units digit of a(b)? 0 What is the tens digit of (2 - 5342/(-15)) + (-16)/120? 5 Let o be (4560/18)/10 + 2/3. Suppose 5*m - 3*l = 1563, m - 22*l + o*l - 308 = 0. What is the hundreds digit of m? 3 Let q be (-3 + 4)/(-1)*-4. Suppose -q*u + 5*u = 5*o + 77, 0 = -4*o + 5*u - 49. What is the hundreds digit of 970/8 + 4/o? 1 Suppose -z - 5712 = -13*z. Let a = z - 162. What is the hundreds digit of a? 3 Let k(j) = -35*j**3 - 8*j + 5. Let f be k(3). Let u = 1417 + f. What is the hundreds digit of u? 4 Let w(m) = 8*m + 45. Let b be w(-5). Suppose 4*r - b*c - 3135 = 0, 4*r + 6*c - 3111 = 3*c. What is the hundreds digit of r? 7 Suppose 5*m - 4*y = 64, -12 = -y - 13. Suppose 61 = m*j - 11. What is the tens digit of (-112)/(-24)*(141/j - -2)? 1 Let r be (3/(-6))/((-3)/(-36)). What is the units digit of -10*(-1)/(1/((-3)/r))? 5 Let a(w) = -w**3 - 8*w**2 + 8*w + 11. Let c be a(-8). Let n = -51 - c. Suppose -2*j = n*x - j - 198, -x - j = -98. What is the tens digit of x? 0 Let y = -40912 - -69215. What is the thousands digit of y? 8 Suppose -12*o + 258 = -10*o. Suppose 6*s + 2*l = 3*s + 427, s - o = -4*l. Suppose -63 = -t - 2*a, 4*t - s = a + 152. What is the units digit of t? 3 Suppose -3*o + o - 7 = -u, 0 = o + 2. Suppose 2*i = 5*b + 10 + u, -10 = -3*i - 2*b. Let n(t) = 31*t - 17. What is the tens digit of n(i)? 0 Let l = -49 + 63. Suppose l*a = 3014 + 5162. What is the hundreds digit of a? 5 Let j be (2 + 0)*((-474)/(-12) + 2). Suppose 3*v - 243 = 3*k, v - 8*k - j = -6*k. What is the units digit of v? 9 What is the hundreds digit of -7*(-2310)/(-539)*(2 - 884/5)? 2 Suppose -3*x + 57 = 5*v, 5*v + 38 = x + x. Let f = x - 15. Suppose 0 = -y - 2*k + f*k + 222, 5*y + k = 1110. What is the hundreds digit of y? 2 Suppose 3*n - 94*v = -96*v + 14731, -4*n = -17*v - 19484. What is the thousands digit of n? 4 Let w = 2782 + -1123. What is the tens digit of w? 5 Suppose -32008 - 12806 = -2*p. What is the hundreds digit of p? 4 Suppose 3*h - 392 = 7*h. Let f be (-15)/((-225)/6) + 198/30. What is the tens digit of (-28)/h + 110/f? 1 Let z(c) = -43*c - 447. Let a be z(-13). Suppose -5*y + 354 = -836. Suppose -3*d = 4*n - y, -5*d = 2*n - 0*d - a. What is the tens digit of n? 6 Suppose 79*k + 367453 - 1718408 = -62544. What is the units digit of k? 9 Let j(h) = h**3 - 7*h**2 + 3*h - 10. Let a be j(7). Suppose 220 = 22*l - a*l. What is the units digit of l? 0 Let l = -24478 - -34445. What is the tens digit of l? 6 Let f(v) = 3*v**2 - 161*v - 34. What is the hundreds digit of f(96)? 1 Let p(j) = 6*j - 74. Let r be p(13). What is the tens digit of r/(-46) - (-104702)/598? 7 What is the thousands digit of 11*-879*(5 - (-22)/(-3))? 2 What is the thousands digit of ((-799)/188)/(1/(-1384))? 5 Let j(q) = q**3 + 4*q**2 - 2*q + 19. Let p be j(-5). Suppose 3*o - 165 = p*v, -3*v = o - 5*v - 57. What is the units digit of o? 1 Suppose 15*s = 11*s + 8. Let f be -3 - (11/3 - s/3). Let r(t) = -t**3 - 4*t**2 + 3*t + 1. What is the tens digit of r(f)? 5 Suppose 166*o - 167*o - 4*m = -644, -1252 = -2*o + 4*m. What is the units digit of o? 2 What is the hundreds digit of ((-27741)/12 + -2)/(((-855)/(-240))/(-19))? 3 Let u(p) = -p**3 + 24*p**2 + 17*p + 25. Let a be u(25). What is the tens digit of a/(-50)*852/7? 2 Suppose 27 = -10*w + 27. Suppose 7*d - 5223 - 5564 = w. What is the hundreds digit of d? 5 Let c = 25428 - 17619. What is the tens digit of c? 0 What is the units digit of (-34 + -229)/(2/(-14))? 1 Let y(z) = 51*z**3 - 7*z**2 - 8*z - 1. Let h be y(-4). What is the hundreds digit of (-5)/(-3*(-5)/h)? 1 Let o
{ "pile_set_name": "DM Mathematics" }
)/(sqrt(972)*-1))**2. 784/81 Simplify (((sqrt(130)*1)/sqrt(10))**2 + (-2 + sqrt(13) + 2)**2)*1 + -1. 25 Simplify (2*sqrt(475)*1*-2*2 + 0 + -5)**2. 400*sqrt(19) + 30425 Simplify (6*(sqrt(1700) + -1) + -5)**2 - (-3 + (0 + sqrt(2448))*4)**2. -1032*sqrt(17) + 22144 Simplify (-6*sqrt(99)*-3)/(sqrt(45)/sqrt(5)*-5)*2. -36*sqrt(11)/5 Simplify sqrt(126)/sqrt(2) + 3 - (sqrt(2268)*-2)**2. -9069 + 3*sqrt(7) Simplify -3 + 4 + -3 + (sqrt(147) - sqrt(147)*3)*-4 + sqrt(147). -2 + 63*sqrt(3) Simplify ((sqrt(176) - 1*2*sqrt(176) - sqrt(176))/sqrt(11))/(-1*1*sqrt(1152)). sqrt(2)/6 Simplify ((sqrt(242) - 2*sqrt(242)) + 3 + (sqrt(242) - (sqrt(242) + 1 - sqrt(242))) + -3)**2*-1 + 0 + 0. -1 Simplify (sqrt(7) + (sqrt(7) - 2*sqrt(7)*-6)**2 + (sqrt(7) - (sqrt(7) - 1*sqrt(847)))**2 - -4*sqrt(42)/(sqrt(6) - -2*sqrt(6))) + -4. 7*sqrt(7)/3 + 2026 Simplify (-6*sqrt(1296)*2)/(sqrt(128) - (sqrt(128) + -2*(sqrt(128) - ((sqrt(128) - sqrt(128)*2) + sqrt(128) - sqrt(128))))). -27*sqrt(2)/4 Simplify (sqrt(220)/sqrt(4)*-5 - sqrt(55))/(sqrt(891)*2). -sqrt(5)/3 Simplify ((sqrt(440)/sqrt(40))/sqrt(4) + ((sqrt(66) - -4*-1*sqrt(66)) + sqrt(66))/sqrt(6))**2. 99/4 Simplify (5 + (1*sqrt(3888)*6)**2)*-2. -279946 Simplify 0 + -3*(-3 + 1*sqrt(343))**2*-3. -378*sqrt(7) + 3168 Simplify ((sqrt(1900) + -1)*-4 - (1*sqrt(1900) + -3)**2 - ((-1 + sqrt(1900) + -1)**2 + -1)) + -4. -3812 + 60*sqrt(19) Simplify -6*-2*(1 + -4*(sqrt(13)*3)**2). -5604 Simplify ((6*(sqrt(33) + sqrt(33)*-2))/(sqrt(12)/sqrt(16)))**2*-6. -9504 Simplify ((4*sqrt(315)*-1)/sqrt(9))/((sqrt(4536)*-3)/sqrt(8)). 4*sqrt(5)/27 Simplify ((sqrt(416)/sqrt(2))**2 - 6*-1*sqrt(13))*1 + 4. 6*sqrt(13) + 212 Simplify ((-1*sqrt(2) + 5 - (sqrt(2) + sqrt(8) + 5))*2 + (sqrt(128) - (4 + (sqrt(128) - (-1 + sqrt(128))))) + -1)**2. 36 Simplify 0 + ((sqrt(171) + -2*-4*sqrt(171))*-1 + -3)**2. 162*sqrt(19) + 13860 Simplify (-6*sqrt(1215))/(sqrt(180)*4 + sqrt(180)). -9*sqrt(3)/5 Simplify 5*-4*(-2*-2*sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-2 - sqrt(2448)))*-1)**2. -195840 Simplify -5 + (sqrt(2299) + sqrt(2299)*-3 + -3 + -2 + sqrt(2299)*-4)**2. 660*sqrt(19) + 82784 Simplify 0 + (2 + sqrt(1584) + -4 - sqrt(1584))**2 + 5. 9 Simplify -2 + ((sqrt(153)*-1 - sqrt(153)) + -2 + sqrt(153) + sqrt(153))**2 + -3 + sqrt(153) + (1 + sqrt(153))**2 + sqrt(153). 12*sqrt(17) + 153 Simplify ((1*(sqrt(468) - sqrt(468)*-1))**2 + -2 + 1*sqrt(468))*-3*-4. 72*sqrt(13) + 22440 Simplify -5 + -3*(-1 + (1*sqrt(300) - sqrt(300))*6). -2 Simplify 1 + (2 + 2 + sqrt(3) + 3*sqrt(27))**2 + -5 + 2. 80*sqrt(3) + 314 Simplify (-6*(-3 + (sqrt(288) + (1 + sqrt(288))*-3 - (-1 + sqrt(288) + sqrt(288))*6)))**2. 2032128 Simplify (6*(sqrt(2) + -2) + -1*sqrt(2)*2 + sqrt(4)/sqrt(2) + sqrt(2) + -1 + 6*sqrt(8))**2. -468*sqrt(2) + 817 Simplify (sqrt(75)/(sqrt(605)*1 + sqrt(605) + sqrt(605)))/(5*(sqrt(125) - (sqrt(125) - 2*sqrt(125))) - sqrt(125)). sqrt(3)/1485 Simplify sqrt(375)/sqrt(3)*-2 - (5 + sqrt(5)*2 + -5). -12*sqrt(5) Simplify -3*(1*sqrt(130))/sqrt(10) + (sqrt(637) - (sqrt(637) + 1)) + -4. -3*sqrt(13) - 5 Simplify (4*-5*-2*sqrt(121))/(sqrt(121)/(1*sqrt(11)*-6)). -240*sqrt(11) Simplify (2*5*(-1 + sqrt(12) + -6*(sqrt(12) + -3))*-2)**2. -136000*sqrt(3) + 235600 Simplify (2*(sqrt(33) - (sqrt(33) - (-4*(sqrt(528) + sqrt(33)) - sqrt(33)))))/(sqrt(121)/(sqrt(1584)*-2 + sqrt(1584))). 504*sqrt(3) Simplify ((-3 + sqrt(99)*4 + (sqrt(99) + sqrt(99)*-1 + 5 - sqrt(99)))*4*-6)**2. 20736*sqrt(11) + 515520 Simplify ((4 + -4 + sqrt(637) - sqrt(637) - (sqrt(637) + 2 + sqrt(637))*-4)*1)**2. 896*sqrt(13) + 40832 Simplify (3 + 2 + sqrt(396)*3 + (sqrt(396) - (sqrt(396) + 0 + sqrt(396) + -1)))**2. 144*sqrt(11) + 1620 Simplify sqrt(425)*-3*-2 + (sqrt(17) - ((sqrt(136)/sqrt(8) + sqrt(17))*3)**2)*2. -1224 + 32*sqrt(17) Simplify (1*sqrt(147) - sqrt(147))*-2 + (sqrt(9)/sqrt(3) + -2 - (sqrt(27)/(sqrt(9)*-1))**2). -5 + sqrt(3) Simplify (sqrt(210)/(sqrt(7) + 1*sqrt(7)) - sqrt(30))/(sqrt(36)/sqrt(54)) - (sqrt(25)/(6*sqrt(10)/sqrt(2)))**2*-5. -3*sqrt(5)/2 + 25/36 Simplify 1*(5*(0 + sqrt(72)) - (2*sqrt(72))**2*-6)*-4*6. -41472 - 720*sqrt(2) Simplify (sqrt(72)/sqrt(108) + 6*sqrt(24)/sqrt(4))/(3*-2*sqrt(6)/sqrt(2))*-2. 19*sqrt(2)/9 Simplify 0 + (sqrt(343) + 2 + -3 + -2)**2. -42*sqrt(7) + 352 Simplify -5*(sqrt(125) - sqrt(125)*-1) - ((6*(sqrt(5) - sqrt(45)))**2 + sqrt(10)/sqrt(50)). -720 - 251*sqrt(5)/5 Simplify (-4 + sqrt(128) + (sqrt(128) + -1)*-2 + -6*sqrt(128)*1 + 0 + -5)**2. 784*sqrt(2) + 6321 Simplify -2 + 4*(-5 + ((sqrt(1539) - (sqrt(1539) + 1*sqrt(1539) + -3))**2 - sqrt(1539))). -252*sqrt(19) + 6170 Simplify 1*(2 + (4 + sqrt(567) + 2)**2 + 1). 108*sqrt(7) + 606 Simplify (-1*sqrt(80)*-2)**2 + (sqrt(35)/(2*sqrt(7)) - sqrt(45)*4). -23*sqrt(5)/2 + 320 Simplify ((sqrt(208)/sqrt(4))/sqrt(4) - (sqrt(13) + (sqrt(117)/(sqrt(81) + sqrt(9)) - sqrt(13))))**2 + -3*2*sqrt(1300). -60*sqrt(13) + 117/16 Simplify -4*(3 + (2*sqrt(275) + sqrt(275))**2 + 3)*-2. 19848 Simplify (6*(3*sqrt(76)*-2*-6 + 3 + 1 + sqrt(76) + (sqrt(76) - (sqrt(76) + -1))*6))**2. 53280*sqrt(19) + 3749184 Simplify 6*((-2*sqrt(1008) + 3)**2 + ((sqrt(1344) + sqrt(1344)*-3 - sqrt(21))/sqrt(3))**2). -864*sqrt(7) + 36384 Simplify ((((1 + sqrt(7))*-1 - sqrt(7)) + (1*sqrt(77))/sqrt(11))**2 - (sqrt(84)/sqrt(48) - (sqrt(7) + -1 + 0)))*-5. -35 - 25*sqrt(7)/2 Simplify 5 + -2 + (2 + ((sqrt(19)*-2)**2 - sqrt(19)) - (sqrt(1216) + 0 - sqrt(19))) + 4. -8*sqrt(19) + 85 Simplify (1 + sqrt(45) + -4 + sqrt(1440)/sqrt(8))*-1. -9*sqrt(5) + 3 Simplify 4 + (sqrt(147)/sqrt(3))/sqrt(7) + -2*((sqrt(280)/sqrt(5) - sqrt(56))/sqrt(8))**2. sqrt(7) + 4 Simplify (2*sqrt(5)*1 - (sqrt(5) + sqrt(25)/sqrt(5)*-2 + sqrt(5)) - (-2 + sqrt(720) + -2*sqrt(605)))**2. 48*sqrt(5) + 724 Simplify 3 + sqrt(132)/(-1*sqrt(3) - sqrt(3)) + (-1 + sqrt(176))**2 + 1*sqrt(4400)*-1. -29*sqrt(11) + 180 Simplify -3 + sqrt(80) + 5 + (sqrt(60)/((-2*sqrt(96))/sqrt(8)))**2 + -3. 1/4 + 4*sqrt(5) Simplify ((sqrt(1470) + (sqrt(1470) - -4*(-2*sqrt(1470) + sqrt(1470))))/(sqrt(54)/(-1*sqrt(81) + sqrt(9))))**2 + 5. 3925 Simplify -2 + (sqrt(7) - 1*(0 + sqrt(7)) - sqrt(28)/(sqrt(4)*1))**2 - (-2 + sqrt(847) + 0)**2*2. -1697 + 88*sqrt(7) Simplify (1 + sqrt(112)*-2 + 2 + 2)**2. -80*sqrt(7) + 473 Simplify ((sqrt(152) + sqrt(152)*1)*-5 - -6*-1*sqrt(152))/(sqrt(8)*1*1 + sqrt(32)/sqrt(4)*-5). 4*sqrt(19) Simplify ((-5 + -1*sqrt(405) + sqrt(405))**2 + sqrt(405) + 0 + (sqrt(405) + (2*sqrt(405) - sqrt(405) - sqrt(405)))**2)*-1. -430 - 9*sqrt(5) Simplify 2 + ((sqrt(125) - (-4 + sqrt(125) + 0 + sqrt(125))) + sqrt(125) + sqrt(125) - (sqrt(125) + (1*sqrt(125) + sqrt(125) + 5 - sqrt(125))))**2. 10*sqrt(5) + 128 Simplify 3*(-5 + ((sqrt(256) - sqrt(16))*3)/(sqrt(128) + sqrt(128)*1)). -15 + 27*sqrt(2)/8 Simplify ((-2 + 4 + 5*(0 + sqrt(242)))*3)**2. 1980*sqrt(2) + 54486 Simplify (sqrt(110) - sqrt(110)*-1*1 - sqrt(110))/((sqrt(10) - sqrt(10)*-2)*-3) + (3 + (-2*sqrt(132))/sqrt(12))**2 + -4. -109*sqrt(11)/9 + 49 Simplify ((0 + (sqrt(3) + sqrt(3) + -1 - sqrt(3)) + -4 + sqrt(1728) + 0)*1)**2. -250*sqrt(3) + 1900 Simplify (sqrt(5) + -5*(0 + sqrt(5)))**2 + sqrt(5) - -1*sqrt(5)*-2 - ((sqrt(240)*1)/(-6*(sqrt(3) + sqrt(27)) - sqrt(3)))**2. -sqrt(5) + 9984/125 Simplify (sqrt(7) + sqrt(7) + (sqrt(175) + -2 - sqrt(7)) + sqrt(7) + sqrt(21)/sqrt(12) + ((sqrt(1008) + -1)*5 - sqrt(1008)) + 3)**2. -444*sqrt(7) + 86311/4 Simplify (-4*(sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192) + (sqrt(192)*1 + sqrt(192) - sqrt(192))))/(sqrt(72)/sqrt(2) + sqrt(4) + sqrt(100)*-2). 40*sqrt(3)/3 Simplify 1*((-2 + (sqrt(15)/sqrt(5) + sqrt(3))**2)*-4 + 1*(0 + sqrt(300) - sqrt(300) - sqrt(300))). -40 - 10*sqrt(3) Simplify (-4 + 4 + 1 + sqrt(275) + -5)*3*1. -12 + 15*sqrt(11) Simplify (3*sqrt(136)/sqrt(4) - (sqrt(102)/(sqrt(9)/sqrt(3)) + sqrt(34)))/(-3*-2*sqrt(288)). sqrt(17)/72 Simplify (sqrt(448) + 1 - sqrt(448))**2 + -5*(-1 + sqrt(7)) + (sqrt(70)*2)/sqrt(10) + 4. -3*sqrt(7) + 10 Simplify 4 + ((sqrt(44)*-3 + sqrt(11))**2 - (-1 + sqrt(396) + sqrt(396))). -12*sqrt(11) + 280 Simplify -2 + 1 + -4*(2 + sqrt(288))**2 + sqrt(288) + 0 + 2. -1167 - 180*sqrt(2) Simplify ((sqrt(121) - (sqrt(121)*1*5 + sqrt(121))) + (sqrt(121) + sqrt(121)*1)*2 + sqrt(121))/(-6*(sqrt(11) + sqrt(11) + 2*sqrt(539) + sqrt(11))). 0 Simplify (-3 + 1*(0 + (sqrt(147) + (sqrt(147) + 1)*-6)*-2))**2. 1260*sqrt(3) + 14781 Simplify (sqrt(68)/((s
{ "pile_set_name": "DM Mathematics" }
ve of z(g). Give q(j(u)). 3*u**2 Let o(w) = -w. Let t(u) be the second derivative of -u**7/504 + 2*u**4/3 - u. Let b(m) be the third derivative of t(m). Determine o(b(f)). 5*f**2 Let u(f) = 5*f. Let v be u(-6). Let a(g) = 6*g**2 + 2*g + 2. Let y(l) = 42*l**2 + 15*l + 15. Let r(p) = v*a(p) + 4*y(p). Let o(i) = 2*i**2. Determine r(o(q)). -48*q**4 Let n(p) be the second derivative of -2*p**3/3 + p. Let j(u) = 3*u**2 + 6*u**2 - 8*u**2. What is n(j(a))? -4*a**2 Let d(v) = 2*v**2. Let p = -6 + 11. Suppose -p*b + 12 = -b. Let q(a) = 4*a - 4*a + a - b*a. Determine d(q(n)). 8*n**2 Let a(c) be the second derivative of c**4/12 - c. Let u(k) = -4*k**2 + 18*k - 18*k. Determine a(u(y)). 16*y**4 Let n(t) be the first derivative of 3*t**2/2 - 18. Let y(x) = 2*x**2. Give y(n(u)). 18*u**2 Let c(u) = -5*u + 9 + 0*u - 3. Let h(i) = -14*i + 17. Let o(n) = 17*c(n) - 6*h(n). Let x(r) be the second derivative of -r**3/3 - r. Give x(o(m)). 2*m Let r(z) = -z**2 - 1. Let k(b) be the first derivative of -b + 0*b**2 - 1 - 2/3*b**3. Let q(o) = k(o) - r(o). Let m(c) = -2*c. Determine m(q(h)). 2*h**2 Let u(v) = v**2. Suppose 5*d - 8*d = 0. Let x(c) be the third derivative of -1/12*c**4 + 0 - 4*c**2 + d*c**3 + 0*c. Determine u(x(m)). 4*m**2 Let w(k) = -2*k. Let u be 1 - (2 + 1) - -4. Let j(n) = -n**2 + 3*n**2 + 0*n**u. Give w(j(o)). -4*o**2 Let s(c) = -107*c - 2. Let z(q) = 18*q**2. What is z(s(h))? 206082*h**2 + 7704*h + 72 Let p be -4*(-2 - 6/(-4)). Let b(k) = p*k**2 + k**2 + 2*k**2. Let q(c) = c**2 - 5*c - 5. Let y(l) = -2*l - 2. Let a(d) = -2*q(d) + 5*y(d). Calculate b(a(t)). 20*t**4 Let w(y) be the third derivative of y**5/20 - y**3/2 + 3*y**2. Let c(n) be the first derivative of w(n). Let x(p) = p**2. Calculate x(c(i)). 36*i**2 Let v(b) = -5*b + 25*b + 16*b - 6*b. Let w(p) = -2*p**2. Determine w(v(i)). -1800*i**2 Let n(j) = j**2. Let c(y) = 50*y**2 + 15*y - 15. Let k(o) = -7*o**2 - 2*o + 2. Let a(z) = -2*c(z) - 15*k(z). What is n(a(q))? 25*q**4 Let g(f) = 10*f**2. Let c(y) = -11*y. Determine c(g(b)). -110*b**2 Let f(g) = 8*g. Let t(b) be the second derivative of -b**4/4 - 5*b. Give t(f(x)). -192*x**2 Let a(i) = -2*i**2 - 582*i. Let r(k) = 2*k**2. Give a(r(z)). -8*z**4 - 1164*z**2 Let l(h) = -3*h + 1. Let u(d) = -d. Let p(s) = -l(s) + 4*u(s). Let n(q) = -1. Let z(r) = -n(r) + p(r). Let y(f) = 2*f. Calculate y(z(i)). -2*i Suppose 0 = -j - j + 6. Let h(i) = i + 3*i**2 + j*i - 4*i. Let z(b) = -b**2. Calculate h(z(p)). 3*p**4 Let a(s) = -s**2. Let v(p) = -4096*p. What is a(v(q))? -16777216*q**2 Let t(a) = -618*a. Let h(n) = -19*n. What is h(t(z))? 11742*z Let g(d) = -d**2. Let k(a) = a + 1. Let c be (-3)/2*2/3. Let h(n) = -3. Let j(o) = c*h(o) - 3*k(o). Calculate g(j(l)). -9*l**2 Let u(q) = 13*q**2. Let d(s) be the first derivative of -2*s**3/3 + 19. Give d(u(i)). -338*i**4 Suppose -3*t + 5 = -2*t, 3*p = t + 7. Let c(w) = 3 - 3*w + p*w - 3. Let g(k) = -k**2. Calculate c(g(b)). -b**2 Let t(p) = -135*p**2 + 55*p + 55. Let c(u) = -5*u**2 + 2*u + 2. Let l(g) = -55*c(g) + 2*t(g). Let x(j) be the second derivative of j**4/12 + j. Give l(x(n)). 5*n**4 Let f be (24/(-56))/((-1)/7). Let u(i) = i - f*i + i. Let y(c) = 6*c**2. Determine y(u(w)). 6*w**2 Let b(q) = 6*q - 2*q + 5*q. Let n(s) = -s. What is n(b(o))? -9*o Let a(h) be the second derivative of -5*h**3/6 - 8*h. Let c(y) = y**2 - 4*y - 4. Let r(o) = o**2 - 5*o - 5. Let x(m) = 5*c(m) - 4*r(m). Give a(x(s)). -5*s**2 Let x(o) = 3*o - 5*o + o. Let r(z) = -19*z. Give x(r(a)). 19*a Let p(z) = 513*z**2. Let s(i) = -13*i**2 - 4. Determine s(p(u)). -3421197*u**4 - 4 Suppose 5*b - 31 = x + 8, x = -3*b + 17. Let o(k) = 5*k**2 - 2*k**2 - b*k**2. Let m(a) = 2*a**2. Calculate o(m(z)). -16*z**4 Let a(m) = -24*m. Let z(h) = 23*h**2 - 1. Calculate a(z(s)). -552*s**2 + 24 Let b(r) = 8*r + 348 - 348. Let d(q) = q**2. Determine d(b(o)). 64*o**2 Let d = 9 + -5. Let m be 4/3*6/d. Let r(b) = -b**m + 7 - 7. Let p(g) = -2*g**2. What is r(p(i))? -4*i**4 Let c(b) be the second derivative of 2*b**3 + 3*b - 5*b - b**3. Let u(k) = k**2. What is c(u(t))? 6*t**2 Let s(v) = -2*v**2 - 9*v**2 + 10*v**2. Let c(a) be the third derivative of a**4/12 + a**2. What is s(c(i))? -4*i**2 Let s(n) = -88*n**2. Let k(f) = -f**2. Calculate k(s(x)). -7744*x**4 Let m(p) = -2 - 3*p**2 - 1 + 3. Let b(s) = s**2. Calculate m(b(c)). -3*c**4 Let g(k) = -k**2. Let j(t) = -2*t. Suppose 2 = 3*s - 7. Let u(y) be the second derivative of y**3/3 - 7*y. Let r(f) = s*j(f) + 4*u(f). What is g(r(i))? -4*i**2 Let i(f) = 4*f. Let c(h) = -3 - 4*h**2 + 6*h - 4*h + 8*h**2 + 1. Let u(k) = 5*k**2 + 3*k - 3. Let z(g) = 3*c(g) - 2*u(g). Determine i(z(y)). 8*y**2 Let y(z) = 2*z + 2. Let h(j) = -24*j - 27. Let r(k) = -2*h(k) - 27*y(k). Let l(q) = -q**2 - 4*q**2 + 3*q**2. Give r(l(i)). 12*i**2 Let o(f) = -2*f**2. Let h(n) = -6403*n**2. Calculate h(o(a)). -25612*a**4 Let o(i) be the second derivative of -i**4/4 + i. Let s(q) be the second derivative of 2*q + 0*q**2 + 0 - 1/3*q**3. Determine s(o(y)). 6*y**2 Let x(p) = 68*p. Let h(t) = -4*t**2. Calculate h(x(z)). -18496*z**2 Let y(x) = 8*x - 2*x**2 - 8*x. Let d(c) = -4*c + 108 - 108. Calculate y(d(n)). -32*n**2 Let n(z) = -19*z**2. Let s(d) = -d**2. Calculate n(s(m)). -19*m**4 Let x(g) = 16*g. Let h(c) = -39*c**2. Calculate h(x(f)). -9984*f**2 Let q(o) = 32*o. Let g(b) = 11*b. Let d(h) = 17*g(h) - 6*q(h). Let a(l) = 2*l. Determine d(a(w)). -10*w Let s(u) be the third derivative of 5*u**4/12 - 33*u**2. Let h(l) = 2*l. Determine h(s(t)). 20*t Let z(q) = 2*q. Let j(c) = -2*c - 6. Let x(n) = -1. Let o(b) = -j(b) + 2*x(b). Let r(v) = -v - 3. Let k(l) = 3*o(l) + 4*r(l). Determine k(z(d)). 4*d Let s(l) = 10726*l**2. Let t(u) = -u. Determine s(t(z)). 10726*z**2 Let r(v) = 3*v. Suppose -2*x + 6 + 0 = 0. Let h(i) = i**3 + 7*i**2 - 8*i. Let c be h(-8). Let m(n) = -x*n + c*n + 2*n. Give r(m(w)). -3*w Let n(k) = 4*k**2. Let b(l) = -3*l**2 + 2*l. Let w(c) = 39*c**2 - 27*c. Let i(z) = 54*b(z) + 4*w(z). Calculate n(i(t)). 144*t**4 Let l(k) = 588*k**2. Let j(n) = 2*n**2. Calculate j(l(u)). 691488*u**4 Let z(k) be the second derivative of 0*k**3 + 2*k + 0*k**2 + 0 + 1/6*k**4. Let j(x) be the third derivative of -x**5/20 - x**2. Calculate j(z(m)). -12*m**4 Let l(t) = 2 - 2*t - 2. Let h(k) = 3 - k - 3 + 0. What is l(h(b))? 2*b Let x(f) = 2*f. Let d(w) be the third derivative of -w**5/30 + 9*w**2. Give x(d(q)). -4*q**2 Let q(s) be the second derivative of 0*s**2 - s + 0 + 0*s**3 - 1/6*s**4. Let b(d) be the second derivative of -d**4/6 - d. Determine q(b(y)). -8*y**4 Let c(i) = -i. Let b(z) = -3*z**2 + 26. Give b(c(g)). -3*g**2 + 26 Let b be 39/9 - 4/(-6). Let u(d) = -b*d + 2*d + 5*d. Let l(h) = h + 2. Let w(o) = o + 1. Let p(m) = l(m) - 2*w(m). Calculate p(u(z)). -2*z Suppose 4*q - 32 = 4*i, -5*q + 18 = -i - 6. Let t(d) = -q*d**2 + 3*d**2 + 3*d**2. Let h(s) = -6*s. Calculate t(h(k)). 72*k**2 Let k(b) = -41*b**2. Let j(q) = q**2. What is j(k(v))? 1681*v**4 Let d(c) be the third derivative of -19*c**5/60 - c**2 + 5. Let u(j) = 3*j**2. Determine u(d(o)). 1083*o**4 Let f(l) = -l**2. Let t(h) = 28*h + 90 - 90. Give t(f(b)). -28*b**2 Let u(v) = -54*v - 56*v + 80*v. Let z(l) = l. Determine u(z(i)). -30*i Let s(u) = 2*u - 2*u + 5 + u + 2*u. Let z(y) = y + 2. Let t(n) = 6*s(n) - 15*z(n). Let q(j) = j**2. What is q(t(d))? 9*d**2 Let v(q) be the third derivative of 23*q**4/24 + 6*q**2. Let y(b) = b. Determine y(v(k)). 23*k Let l(i) = 6*i**2. Let d(v) = 272*v**2. Calculate l(d(f)). 443904*f**4 Suppose 3*n - 6 = 9. Let z(m) = -3*m**2 + n*m**2 + m**2. Let o(v) = v. Calculate z(o(p)). 3*p**2 Let i(m) = -112*m. Let p(n) = n**2. Calculate p(i(x)). 12544*x**2 Let s(f) = -7*f - 3. Let j(w) = -1. Let h(i) = 4*j(i) - s(i). Let t(g) = -g. Determine t(h(b)). -7*b + 1 Let v be (3 - 5)/((-4)/(-10)). Let c(t) = 2*t. Let a(q) = 6*q. Let n(d) = v*a(d) + 16*c(d). Let p(j) = -j - 2*j**2 - 4*j + 5*j. What is n(p(f))? -4*f**2 Let y(k) = 2*k. Let b(p) = 4*p - 5. Let q(f) = 6*f - 2. Let j(c) = -c. Let u(z) = -4*j(z) - q(z). Let l(d) = -2*b(d) - 5*u(d). Give l(y(i)). 4*i Let j(u) = u**2. Let f(b) = -2*b - 4. Let w be f(-3). Let d(k) = 0*k**w - 2*k**2 + 7*k**2. Determine j(d(c)). 25*c**4 Let t(o) = -5*o**2 + 5*o. Let w(p) = 7*p. Calculate w(t(v)). -35*v**2 + 35*v Let j(o) = -2*o. Let k(q) = -5*q**2 - 7*q**2 +
{ "pile_set_name": "DM Mathematics" }
5? -0.5 Let y = -4012.913 - -4013. What is the nearest to y in -0.1, -4, 12? -0.1 Let k be (17 + (-4800)/280)/((-6)/(-14)). Let s = -5.671 - -0.071. Let h = -6 - s. Which is the closest to -1? (a) -0.6 (b) h (c) k a Let m be (-2)/(-11)*(-198)/24. Which is the closest to 2? (a) -2/15 (b) m (c) 4 (d) 17 c Let d = 6 + -5.5. Let o = 0.1 + 0.1. Let i = 1997 + -2001. Which is the nearest to o? (a) -1/2 (b) d (c) i b Let s be (7/(140/8))/(126/(-70) + 1). What is the nearest to 0.1 in s, 0.1, -5/2, 44? 0.1 Let s = 79.08 + -65.08. Which is the closest to s? (a) -4 (b) -0.11 (c) 2/3 (d) 1/8 c Suppose -4*r + 68 = j, -3*r + 4*j = -0*j - 32. Let x be r + 4 + 1/1. Let i be ((-6)/9)/(x/(-9)*1). What is the closest to -4 in 0.1, i, 1? 0.1 Let m = -2.057 + 2.02. Let h = -2.037 - m. What is the nearest to 1/3 in h, 0.2, -4? 0.2 Let b(j) = -482*j - 2046. Let z be b(-5). What is the closest to 0 in 15, z, -1? -1 Let d = 17500 - 17500.04. What is the closest to 1 in -1.1, d, -0.4, -2? d Let c = 0.1 - 0.1. Let x = -2390.7 - -2390.7. Let y = 1.1 - 0.8. What is the closest to c in y, -3, x? x Let r = -102/13 - -766/91. Let u = -848/9 + 94. What is the closest to 3/2 in r, u, 1/6? r Let g = 7591 + -7591. What is the nearest to -0.4 in 5, g, -3, 2? g Suppose 6*m = 289 + 101. Let u = 324/5 - m. Let l be (6 - (-44)/(-8))*-1. What is the nearest to 0 in 0.3, l, u? u Let f = -64.598 - -64.098. Suppose 2*o - 14 = 6*p - 4*p, -p + 13 = 4*o. Which is the nearest to 5? (a) f (b) 0.01 (c) o c Suppose -12 + 40 = n. Let x = 24 - n. Let l be (-13)/(-52) - (-2)/x. What is the nearest to 1/2 in 2/3, 0, l? 2/3 Let t = 0.178 - 228.178. Let j = t - -203. Which is the nearest to -1? (a) -0.3 (b) j (c) -1 c Suppose -4 = 2*d - 4*m, -5*m + 2 - 3 = -2*d. Let j = -11 - d. Let z = -1346/7 - -192. What is the nearest to z in j, -3/4, -4? -3/4 Suppose 7*j + 8390718 = -7*j. Let k = j + 188790997/315. Let q = k + 2/35. Which is the nearest to 0? (a) 0.3 (b) q (c) -5 a Let j = 7.3 - -159.7. Let i = j + -166.5. Let l = 6 + -19/3. What is the nearest to l in -0.2, i, -0.5? -0.2 Let a = 613.2 + -615.2. What is the nearest to a in 0, -1, 0.065, 2? -1 Let g = 7.06 + -16.06. Which is the closest to g? (a) -1/5 (b) -6 (c) 0.2 (d) 2/11 b Suppose 34*g - 10*g = 48. Let d = 877/104 + -108/13. What is the nearest to g in -0.3, d, -1? d Suppose 10*m + 429 - 514 = -7*m. Which is the closest to 13? (a) m (b) 2 (c) -1/17 (d) -1/4 a Let u = -0.12 + 0.11. Let o = -0.1189 + 0.0189. Which is the nearest to o? (a) u (b) -4 (c) -2 a Let j = -0.4 - -0.2. Suppose 2 = -3*o + 5. Let g be 10/(70/21) - (-12 - 460/(-30)). Which is the closest to j? (a) g (b) -1 (c) o a Let y = -897.6 + 895. What is the nearest to 0 in y, -2, 5? -2 Let b = 0.41 - 0.01. Let x = 23843 - 309958/13. What is the nearest to 1 in b, 3, x? b Let y(w) = 3*w**3 + 72*w**2 - 75*w - 2. Let p be y(-25). Which is the closest to p? (a) 1/2 (b) 0.06 (c) -4 c Let m be 0 - -1 - (79 - 3). Let x = -108 - m. Let j = x - -497/15. Which is the nearest to 0.2? (a) j (b) -7 (c) -2/3 a Let z = 2 - 1. Suppose -91*n = -322*n + 693. Which is the nearest to z? (a) n (b) 2/7 (c) 0 b Let o = -0.17971 - -4.17971. What is the closest to o in -3, 0, -13, -0.3? 0 Suppose -10*z - 368 - 172 = 0. Let d = -217/4 - z. Let i = 32 + -34. What is the nearest to i in d, -4/7, 3? -4/7 Let k = -10.096 - -13.096. Suppose 5*t - 37 = -2. Suppose d = 2*d + 4*z - 14, d = 3*z - t. What is the nearest to k in 1/5, 1, d? d Let i = -806.573 - -807. Let f = i - 0.027. What is the closest to 1 in f, 1/8, -3, 0.2? f Let w = -1.22026 - -0.22026. What is the nearest to w in -6, -1/2, -58/7? -1/2 Let d = 198.7 + -198.5. Let v = 12 - 37/3. What is the nearest to d in 23, v, 3/2? v Let j(d) = 26*d**2 - 51*d - 4. Let m be j(2). Let u be ((-6)/(-5))/((-6)/(-15)). Let h = u + -1. Which is the nearest to m? (a) h (b) 3 (c) 2/3 c Let k = 0.31 - -0.09. Suppose 0 = -10*o + 3*o + 14. Suppose 58*f = 57*f - o. Which is the closest to f? (a) k (b) -2/11 (c) 0.3 b Let u = -97.21 + 92.21. Let w = -2 - -1.98. Let y = -0.08 + w. Which is the nearest to -6? (a) y (b) u (c) -1 b Let o = -11217309/35 + 320522. Let p = 137/5 - o. Let n = 0.036 + -5.036. Which is the closest to p? (a) -2/7 (b) 2 (c) n a Let w = -4970 - -4971. Which is the nearest to 1.1? (a) -3 (b) -3.9 (c) w c Let o = 56186 + -56186. Let i be (0 - -2) + (-11)/6. Which is the closest to o? (a) i (b) 3 (c) -5 a Let j be 55/495 + (-2399)/(-36). Let n = j + -66. Which is the nearest to 0? (a) n (b) 4/3 (c) -1 (d) -5 a Let p = 309.949 - -0.051. Let v = p - 311. Which is the nearest to -22? (a) -0.3 (b) -1/5 (c) v c Let o = 12675.5 + -12676. Which is the closest to 1? (a) 3/13 (b) o (c) -18 a Let b = -18737 - -18732. What is the nearest to 0.9 in -7, -1/9, b? -1/9 Let h = -1967 - -1964. Let i = 2 + 0. What is the nearest to 8 in h, i, 1/3? i Let d = -871/5013 - 27/557. Let o = 3.7 - 4. Which is the closest to d? (a) o (b) -5 (c) 0.8 a Let q be (1290/72)/(7 + 36/(-8)) - 8. What is the nearest to 1 in -5, 5, q, -2/3? -2/3 Let p = -304 - -112. Let i = 188 + p. Which is the closest to -3? (a) -0.3 (b) i (c) 5 b Let k = 468.5 - 468.13. Which is the closest to -1? (a) -1/2 (b) k (c) 1/7 a Let h = -0.29 - -0.05. Let k = -386/975 + -4/975. What is the nearest to -2 in -0.3, h, k? k Let r = 16492 - 16523.2. What is the nearest to 0 in -0.4, -0.1, r, 2/7? -0.1 Let y = 2.4 - -0.6. Let k = 0.86831 - 0.86831. What is the closest to k in 3/4, -20, y? 3/4 Let u = 48 + -24. Let y = -9909 + 69196/7. Let h = u + y. Which is the nearest to 1? (a) 4 (b) h (c) 3/2 c Let n = -20048.773 + 20049. Which is the closest to 1? (a) 3 (b) -4 (c) n c Let u = 1182.31 - 1182.2. Which is the nearest to 0? (a) -393 (b) 3 (c) u c Suppose 324 = 58*f - 106*f - 114*f. Which is the closest to 1/4? (a) f (b) 0.5 (c) -0.08 (d) -1 b Let u be (-8 - 2)*-6*22/(-385). Let j = u + 134/35. What is the nearest to -4/3 in -2, j, -3/8? -2 Let d = 0.4698 + -0.8698. Which is the closest to 10? (a) 2/13 (b) 1 (c) d b Let w = 14846 - 14846. Let y = -0.2 + 4.2. What is the closest to w in y, -2.1, 1, 0.08? 0.08 Let g = -972.1 - -949.1. What is the closest to g in -0.04, 2/11, -4, -3? -4 Let r = 5 + -7. Let w = 14665/11 + -1333. What is the closest to w in 5, 2, r? 2 Suppose -148394 + 148363 = -31*h. Let p = 25.02 + -23. Let y = 0.02 - p. Which is the closest to 0? (a) y (b) h (c) -2/5 c Let a be (5678/17)/(-2 + -13 + 0). Let o = a + 65/3. Let t = 0 - -5. What is the closest to 2 in o, -2, t? o Let q = 13.8 + -7.901. Let n = q + -0.899. Which is the closest to -1/5? (a) 4 (b) -3/7 (c) n (d) 1/4 b Let y = 1348.50387 - 0.00387. Let g = y + -1349. Let o be 4/3 - (-2)/(-6). Which is the closest to o? (a) g (b) -1.1 (c) -3 a Suppose -3*h - 10 = 2*i, 4*h = -5*i + 5*h - 8. Let s = -883.14 - -882.84. What is the nearest to 2/9 in s, i, -1, 3? s Suppose 3*g = 2*v + 5, -5*g - 12*v + 11*v = 9. Which is the closest to g? (a) 0.1 (b) 11/2 (c) 4 (d) -0.1 d Let h(r) be the first derivative of 17*r - 5*r**3 - 1/4*r**4 + 38 - 13/2*r**2. Let s be h(-14). Which is the nearest to 0.03? (a) -1/2 (b) -3 (c) s a Let k = 1 - 0.8. Let j = -5713 + 5711. Which is the closest to 0? (a) j (b) 0.5 (c) k c Let p be (-1443)/(-1554) + (-20)/14. Which is the nearest to -1/2? (a) p (b) -2 (c) -4/7 (d) -0.1 a Let y = 267 + -387.5. Let l = y - -120. Let q = 6 - 6.3. Which is the nearest to 0? (a) 3 (b) q (c) l b Let r = -537 + 542. Let g be -2 - (6/(-15))/(4/r). Which is the closest to -1/4? (a) g (b) -3 (c) -16 a Let z = -0.6 + 0.5. Let p = 17.26 + -18.4. Let x = p + -0.86. Which is the nearest to 0? (a) -3 (b) x (c) z c Let i = 1619 - 1624. Which is the nearest to 27? (a) -0.2 (b) 0 (c) i b Let d = 705.7 - 706. Which is the nearest to d? (a) 89 (b) -2/7 (c) 0.2 b Let g(c) = 119*c - 1789. Let r be g(15). What is the closest to 69 in 0, 0.02, r, 0.1? 0.1 Let q = 194077 - 194170.061. Let i = q + 93. Let c = i - 0.039. What is the closest to -3 in 0.2, -0.3, c? -0.3 Suppose -418*y - 3 = -413*y + 7. What is the closest to 0 in y, -6, -0.07, -2/7? -0.07 Let j = 1065 - 1066. Which is the closest to -0.2? (a) -18 (b) 4 (c
{ "pile_set_name": "DM Mathematics" }
mon denominator of 107/3608 and 26/1845? 162360 Calculate the common denominator of 127/4940 and -87/4864. 316160 What is the lowest common multiple of 270 and 10638? 53190 Calculate the common denominator of -19/871594 and 81/31810. 4357970 What is the common denominator of -101/119586 and 77/409110? 7773090 What is the least common multiple of 121266 and 673700? 6063300 Calculate the common denominator of -77/36 and -19/11472. 34416 What is the least common multiple of 214 and 9630? 9630 What is the lowest common multiple of 278415 and 759? 3062565 What is the lowest common multiple of 29354 and 6774? 88062 What is the common denominator of 30/113 and -27/218? 24634 Calculate the common denominator of -11/270972 and 11/15054. 270972 What is the lowest common multiple of 1095 and 4578? 1670970 Find the common denominator of 51/724 and 79/2172. 2172 What is the common denominator of 23/5100 and -181/750? 25500 What is the least common multiple of 116358 and 158670? 1745370 Calculate the lowest common multiple of 4536 and 196. 31752 What is the common denominator of -27/1756 and 109/8196? 3598044 Find the common denominator of 55/4371 and -49/282. 8742 Find the common denominator of 56/1875 and 139/324. 202500 What is the common denominator of 19/10370 and 25/489464? 2447320 Calculate the lowest common multiple of 231 and 349140. 2443980 What is the smallest common multiple of 944714 and 2? 944714 Calculate the common denominator of -91/5904 and -5/10656. 436896 Calculate the common denominator of 22/807665 and 62/484599. 2422995 What is the common denominator of -71/5115 and 97/5115? 5115 Calculate the lowest common multiple of 24000 and 720. 72000 Calculate the lowest common multiple of 6570 and 657. 6570 What is the common denominator of 91/1250622 and 17/16? 10004976 Find the common denominator of -73/12 and 139/8070. 16140 Calculate the lowest common multiple of 41 and 1152. 47232 Find the common denominator of -157/3276 and -59/252. 3276 Calculate the least common multiple of 222 and 1707. 126318 What is the smallest common multiple of 341 and 1767? 19437 What is the smallest common multiple of 25130 and 89750? 628250 What is the least common multiple of 1557118 and 8? 6228472 What is the common denominator of 29/35 and -12/217? 1085 Calculate the smallest common multiple of 2096 and 384. 50304 Calculate the lowest common multiple of 18 and 6993. 13986 Calculate the lowest common multiple of 553092 and 507001. 6084012 Calculate the common denominator of 77/21720 and -31/35295. 282360 Calculate the common denominator of -95/685377 and -62/891. 6168393 Calculate the common denominator of -74/21777 and 133/18. 130662 What is the least common multiple of 68824 and 112? 137648 Calculate the least common multiple of 5928 and 364. 41496 Calculate the least common multiple of 7590 and 9108. 45540 What is the common denominator of -107/38 and 1/499? 18962 Calculate the common denominator of 57/94348 and 9/14. 660436 What is the lowest common multiple of 308 and 7868? 86548 What is the smallest common multiple of 16450 and 546? 641550 What is the least common multiple of 3780 and 80? 15120 Find the common denominator of -37/121805 and -79/90. 2192490 Find the common denominator of 44/461 and 49/1826. 841786 What is the common denominator of -37/248292 and 87/10? 1241460 What is the common denominator of -71/115416 and -22/81? 1038744 What is the common denominator of -13/102 and 25/42024? 42024 Calculate the common denominator of 149/48 and -79/144903. 2318448 Calculate the common denominator of -47/180 and -115/4842. 48420 What is the lowest common multiple of 585 and 1651? 74295 What is the least common multiple of 629 and 58201? 989417 Calculate the common denominator of -11/36660 and 163/3510. 329940 Find the common denominator of -1/944 and -71/208. 12272 Calculate the common denominator of 27/573388 and -87/217492. 6307268 What is the least common multiple of 497 and 422024? 2954168 Calculate the lowest common multiple of 55972 and 188. 2630684 Calculate the common denominator of 113/149940 and -83/2. 149940 Calculate the common denominator of 105/10036 and 2/9. 90324 Find the common denominator of 71/88 and 167/1129128. 1129128 Calculate the common denominator of -12/245 and 11/100275. 701925 What is the common denominator of 25/2008 and -53/56? 14056 What is the lowest common multiple of 20868 and 60? 104340 Calculate the least common multiple of 251580 and 47920. 1006320 What is the common denominator of -62/4005 and 97/495? 44055 What is the common denominator of -74/9 and 20/29077? 261693 Calculate the least common multiple of 4488 and 18700. 112200 Calculate the common denominator of 63/6155 and -43/32615. 40149065 What is the smallest common multiple of 1425460 and 10? 1425460 What is the common denominator of 17/19558 and 67/17780? 195580 Find the common denominator of -139/1860 and 48/403. 24180 Calculate the smallest common multiple of 138 and 8290. 572010 Calculate the common denominator of -1/333184 and 51/6080. 1665920 What is the lowest common multiple of 66 and 83118? 914298 Find the common denominator of -117/1600 and -19/33520. 670400 Find the common denominator of -8/16133 and 37/1768. 129064 What is the smallest common multiple of 168 and 522? 14616 What is the common denominator of 83/133068 and 113/306? 6786468 Calculate the smallest common multiple of 72 and 10990. 395640 What is the lowest common multiple of 413 and 1416? 9912 Calculate the common denominator of 63/16 and 7/843464. 1686928 Calculate the least common multiple of 372 and 5146. 30876 Calculate the lowest common multiple of 43670 and 218350. 218350 Calculate the common denominator of -91/396 and 149/888. 29304 What is the smallest common multiple of 456 and 9864? 187416 Calculate the common denominator of -85/9128 and -4/1141. 9128 Find the common denominator of 33/59593 and 101/5182. 119186 Find the common denominator of 163/30 and 74/35595. 71190 Calculate the common denominator of -31/108 and 20/8613. 34452 What is the common denominator of -20/49 and 19/112? 784 What is the smallest common multiple of 1428 and 156? 18564 Find the common denominator of -37/22 and -85/5086. 55946 What is the common denominator of -65/2424 and -41/4242? 16968 Calculate the common denominator of 34/5187 and -25/27664. 82992 What is the lowest common multiple of 29488 and 232218? 1857744 What is the common denominator of -85/105448 and 71/3136? 843584 What is the smallest common multiple of 414 and 34650? 796950 What is the common denominator of -29/968944 and -61/44? 10658384 What is the lowest common multiple of 9 and 69446? 625014 Calculate the smallest common multiple of 2027 and 34459. 34459 Find the common denominator of 3/549050 and 169/329430. 1647150 Calculate the smallest common multiple of 7 and 17241. 17241 Calculate the smallest common multiple of 45 and 55050. 165150 Calculate the least common multiple of 332633 and 2009. 2328431 What is the lowest common multiple of 35280 and 784? 35280 Find the common denominator of -3/3746 and 1/17. 63682 What is the common denominator of -3/113582 and 9/40964? 2498804 What is the common denominator of -1/9900 and 4/693? 69300 What is the lowest common multiple of 99 and 19250? 173250 Calculate the least common multiple of 578 and 68. 1156 Calculate the least common multiple of 218 and 1706. 185954 What is the common denominator of -83/13968 and -29/1008? 97776 What is the lowest common multiple of 17396 and 43490? 86980 What is the least common multiple of 540 and 11610? 23220 Calculate the lowest common multiple of 19376 and 56. 19376 Find the common denominator of -13/12696 and -83/25392. 25392 Calculate the common denominator of 59/89106 and 121/72. 1069272 Calculate the common denominator of 71/579 and -23/82990. 248970 What is the common denominator of -61/39949 and 115/68484? 479388 Find the common denominator of -149/1836 and -155/8262. 16524 Calculate the least common multiple of 11 and 15813. 173943 Find the common denominator of -83/20406 and 111/266. 142842 Calculate the common denominator of 79/15150 and 16/147. 742350 What is the smallest common multiple of 53600 and 24000? 1608000 What is the lowest commo
{ "pile_set_name": "DM Mathematics" }
et u(z) = -60*z**2 - 23*z - 13. Let y(b) = 64*b**2 + 27*b + 14. Let r(a) = -9*u(a) - 8*y(a). Let p(m) = 14*m**2 - 5*m + 3. Determine 5*p(o) - 3*r(o). -14*o**2 + 2*o Let r(g) = 3*g**3 - 4*g - 3. Let p(c) be the third derivative of c**4/24 + c**3/6 - 2*c**2 + 159. Give 3*p(f) + r(f). 3*f**3 - f Let c(k) = -983*k**3 + 20*k**2 - 11*k + 6. Let v(l) = 354*l**3 - 7*l**2 + 4*l - 2. Calculate -3*c(b) - 8*v(b). 117*b**3 - 4*b**2 + b - 2 Let m(s) = -3*s - 3. Suppose 0 = 3*n + 1540 - 1546. Let p(z) = -11*z - 12. What is n*p(k) - 9*m(k)? 5*k + 3 Let t(m) be the first derivative of -3*m**3 - 3*m - 457. Let i(a) = 8*a**2 - a + 4. Give 2*i(w) + 3*t(w). -11*w**2 - 2*w - 1 Let w(x) = -34*x**3 + 20*x - 55. Let h(m) = 31*m**3 - 25*m + 56. Calculate -4*h(l) - 5*w(l). 46*l**3 + 51 Let k(a) = -7*a**3 - 41*a + 11. Let r(w) be the third derivative of -w**6/40 - 5*w**4/6 + 5*w**3/6 + 1566*w**2. What is 4*k(c) - 9*r(c)? -c**3 + 16*c - 1 Let z(n) = -234*n - 1165. Let c be z(-5). Let l(d) = 2*d**3 + 9*d**2 + 5*d - 53. Let k(g) = -g**3 - 5*g**2 - 3*g + 27. What is c*k(o) + 3*l(o)? o**3 + 2*o**2 - 24 Let p(u) = u**2 + 1. Let l(w) = 13*w**2 + 12. Let d(m) = 9*m**2 + 5*m**2 + 17 + 15*m**2 - 10*m**2. Let f(x) = 5*d(x) - 7*l(x). Give -2*f(s) + 2*p(s). -6*s**2 Let q = 35 - 50. Let r be (-160)/(-24)*(-9)/q. Let p(c) be the first derivative of -c**2 - 3*c - 1. Let l(u) = -5*u - 7. Calculate r*l(n) - 9*p(n). -2*n - 1 Let q(w) = 11*w**3 - 182*w**2 + 204*w - 102. Let i(s) = -5*s**3 + 84*s**2 - 102*s + 51. Calculate 13*i(r) + 6*q(r). r**3 - 102*r + 51 Let u(z) = 2*z**2 - 258 + 124 + 121 - 6*z. Let c(j) = -j**3 - 9*j**2 - 17*j + 8. Let w be c(-6). Let l(p) = -p**2 + 2*p + 4. What is w*u(o) + 7*l(o)? -3*o**2 + 2*o + 2 Let b(l) = -l**2 - 5*l - 5. Let q = 138 - 133. Suppose -s - 15 = -z + s, 4*s = q*z - 45. Let g(i) = -36 + 70 - i - 36 - i. What is z*g(d) - 2*b(d)? 2*d**2 Let p(u) = 2*u**3 - 2*u**2 + 3*u + 1. Let b(r) be the third derivative of r**6/120 + r**4/24 - 7*r**2 + 206*r. Determine 3*b(o) - p(o). o**3 + 2*o**2 - 1 Let q(z) = 499*z + 118. Let v(s) = -250*s - 70. Calculate -3*q(y) - 5*v(y). -247*y - 4 Let p(g) = g + 1. Let h(d) = -3*d - 6. Suppose -5*i = 9*i + 4*i + 108. Give i*p(w) - h(w). -3*w Let c(b) = 29*b**3 - 5*b**2 - 5. Let l(j) = -15*j**3 + 3*j**2 + 3. Let i = -114 + 114. Suppose -83*p + 85*p + 6 = i. Calculate p*c(t) - 5*l(t). -12*t**3 Let i = 3418 + -3416. Suppose -4*z - 2*b + 11 = -3*z, b = 2*z - 7. Let v(o) = -z + i + 4. Let k(y) = -y**3 - 2*y**2 - 2. Give -k(t) - 2*v(t). t**3 + 2*t**2 Let o(u) = 4*u**2 - u - 3. Let d(z) = -5*z**2 + 4. Let b be (-763)/(-109)*8/(-14). Give b*o(r) - 3*d(r). -r**2 + 4*r Suppose 21 + 35 = 16*i + 72. Let o(l) = 8*l + 2. Let s(a) = a + 1. Calculate i*o(m) + 3*s(m). -5*m + 1 Let h(s) = -20*s**3 - 18*s**2 + 11*s + 20. Let m(y) = 7*y**3 + 6*y**2 - 4*y - 7. Let b = 26008 + -26025. Calculate b*m(w) - 6*h(w). w**3 + 6*w**2 + 2*w - 1 Let u(c) be the first derivative of -2*c**3/3 - c**2/2 + 2*c + 1518. Let y(v) = v - 1. Let t(n) = 3*n - 2. Let f(b) = 2*t(b) - 5*y(b). What is -4*f(r) + u(r)? -2*r**2 - 5*r - 2 Let b(c) = -4*c. Let y(x) = 83*x + 6. Let u(l) = 30*l - 92*l + 1 + 31*l + 32*l. Let p(o) = -6*u(o) + y(o). Calculate -56*b(z) - 3*p(z). -7*z Let n(i) = -474*i - 6. Let h(a) = 485*a + 3. Give -5*h(g) - 4*n(g). -529*g + 9 Let g(t) = -t - 9. Let d(n) = -12*n - 80. Let l be 8/1 + -3 + 1. Let y(b) = l*d(b) - 52*g(b). Let f(w) = 8*w + 5. Determine 12*f(r) + 5*y(r). -4*r Let y = 7 - 10. Let t(q) = 4 + 101*q**3 + 1 - 7*q**2 - 45*q**3 - 54*q**3 - 7*q + 2. Let v(m) = m**3 - 3*m**2 - 3*m + 3. Calculate y*t(a) + 7*v(a). a**3 Let z(s) = 7*s**3 - 3*s**2 + s - 5. Let b(i) = -35 - i + 34 + 2 + 2*i**3 + 0 - 3*i**3. Calculate -5*b(q) - z(q). -2*q**3 + 3*q**2 + 4*q Let q(v) = -4*v**2 - 2*v - 6. Let m(h) be the second derivative of -7*h**4/12 - 2*h**3/3 - 11*h**2/2 - 993*h. Give 3*m(o) - 5*q(o). -o**2 - 2*o - 3 Let o(j) be the third derivative of j**4/24 + j**3/2 - 433*j**2. Let n(w) = 4*w + 11. Give -2*n(u) + 9*o(u). u + 5 Let k be (-17)/(-204) + 1/(-1) + 118/(-1416). Let v(b) = -4*b**3 - 6*b - 6. Let s(x) = x + 3. Let z(u) = 1. Let q(c) = -s(c) + 2*z(c). Give k*v(w) + 6*q(w). 4*w**3 Let g(o) = -5*o - 2. Let h(u) = 47318*u + 47318*u - 94631*u + 2. Calculate 5*g(a) + 4*h(a). -5*a - 2 Suppose 0 = 92*i + 1155 + 41. Let o(p) = 4*p + 6. Let f(d) = 2*d + 3. What is i*f(c) + 6*o(c)? -2*c - 3 Let g(s) = -s**2 - s - 1. Suppose -125 = -d - 15*w, -4*d = 64*w - 60*w - 108. Let y(f) = 3*f**2 + 2*f + 4. Give d*g(j) + 5*y(j). -5*j**2 - 10*j Suppose 376*w = 346*w - 360. Let s(y) = -y**2 - 6*y. Let h(p) = -p**2. Let d(m) = 14*h(m) + 2*s(m). Let b(n) = n**2 + n. Determine w*b(x) - d(x). 4*x**2 Let i(j) = 5*j**3 - j**2 - 7*j - 6. Let m = 1625 - 1631. Let d(n) = -4*n**3 + 6*n + 5. Let o be (-3)/(-6) - (-22)/(-4). Calculate m*d(v) + o*i(v). -v**3 + 5*v**2 - v Let w(g) = 2*g**2 - 2*g + 4. Let i(m) = -5*m + 3. Let f(k) = i(k) - 2*w(k). Let a(y) = -2*y**2 - 3. Determine 7*a(j) - 4*f(j). 2*j**2 + 4*j - 1 Suppose 72*b + b + 948 = -85*b. Let k(z) = 7*z - 4. Let h(r) = -7*r + 3. Determine b*k(y) - 7*h(y). 7*y + 3 Let i(n) = 4*n**2 + 30*n - 311. Let z(y) = 7*y**2 + 55*y - 623. Give -11*i(q) + 6*z(q). -2*q**2 - 317 Let x(t) = -5*t - 2. Let h be 21*14/(-147) + (-1*1 - -1). Let j(z) = -4*z - 2. Give h*j(y) + 3*x(y). -7*y - 2 Let g(m) = -11*m**3 - 6*m**2 - 6*m - 3. Let d(q) = 4*q**3 + 2*q**2 - q - 1. Give 6*d(h) + 2*g(h). 2*h**3 - 18*h - 12 Let u(m) = -5*m**2 - 2*m + 4. Let t(b) be the second derivative of b**4/2 + b**3/3 - 3*b**2/2 - 16*b - 35. Determine -5*t(p) - 4*u(p). -10*p**2 - 2*p - 1 Let r(a) = -65*a**2 + 5*a - 5. Let m(u) = -8 + 5 + 46*u - 32*u**2 + 53*u - 96*u. Determine -5*m(d) + 3*r(d). -35*d**2 Let d(h) = 321765*h - 1129. Let w(i) = -1141*i + 4. Determine 4*d(c) + 1129*w(c). -1129*c Let s be (-242)/33*(405/(-6))/5. Let a(k) = -26*k**2 + 4. Let n(o) = 649*o**2 - 99. Determine s*a(h) + 4*n(h). 22*h**2 Let c(z) = -24*z**3 + z**2 + 4*z + 4. Let r be c(-2). Let h = 194 - r. Let k(n) = 11*n**2 - 5*n + 5. Let i(s) = -5*s**2 + 2*s - 2. Give h*k(o) + 5*i(o). -3*o**2 Let h(j) = 5*j**2 - 14*j - 848. Let g(k) = 7*k**2 - 18*k - 848. Give -4*g(l) + 5*h(l). -3*l**2 + 2*l - 848 Let r(x) = -351*x**3 - 65*x. Let y(t) = 11*t**3 + 2*t. Let a = 2906 - 2971. What is a*y(n) - 2*r(n)? -13*n**3 Let m(w) = -w**2 + w - 3. Suppose 16*p - 134 + 12 = -45*p. Let r(x) = -3*x**2 + 3*x - 6. What is p*r(v) - 5*m(v)? -v**2 + v + 3 Let r(p) = 44*p**2 - 226*p. Let j(n) = -9*n**2 + 51*n. What is -14*j(s) - 3*r(s)? -6*s**2 - 36*s Let n(x) = -115. Let l(p) = 38. Let a(m) = -3*l(m) - n(m). Let h(f) = f + 9. Give 3*a(r) + h(r). r + 12 Let m(z) = -z**2 - z. Let j(x) = -6*x**2 + 21277*x + 7*x**2 + 6*x**2 + 21332*x + 1 - 42566*x. Determine -j(d) - 5*m(d). -2*d**2 - 38*d - 1 Let p(r) = r. Let w(k) = 2*k**2 - 12*k. Let f(z) = p(z) + w(z). Let u be (-143)/(-468)*12*-3. Let b(o) = -o**2 + 6*o. Give u*b(n) - 6*f(n). -n**2 Let d(p) = -91*p**3 - 17*p**2 - 17*p. Let w(h) = 15*h**3 + 3*h**2 + 3*h. Suppose -493*b - 13464 + 476 = -111*b. Determine b*w(x) - 6*d(x). 36*x**3 Let p(b) = -4528*b + 24. Let l(x) = -4529*x + 35. What is 2*l(m) - 3*p(m)? 4526*m - 2 Let z(l) = 6*l**3 - 46*l**2 - 8*l - 1. Let s(c) = 2*c**3 - 3*c**2 - 3*c. Calculate -2*s(k) + z(k). 2*k**3 - 40*k**2 - 2*k - 1 Let y(i) = -146*i**2 + 5*i - 4. Let l(m) = 290*m**2 - 10*m + 9. Calculate 6*l(f) + 13*y(f). -158*f**2 + 5*f + 2 Let c(k) = 18*k + 18. Let f(v) = -156 + 61 + 29 + 67. Give c(b) - 18*f(b). 18*b Let g(o) = -129*o - 7. Let p(h) = -123*h - 6. Determine -4*g(z) + 5*p(z). -99*z - 2 Let a(s) = -s**2 + 26*s - 140. Let i be a(18). Let r(j) = 5*j + 9. Let c(y) be the second derivative of y**3/6 + y**2/2 + 8*y - 2. Give i*c(n) - r(n). -n - 5 Let r be 25/3*((-2)/(-10) - -1). Let p(g) = 2 + 4 - r + 5. Suppose 5*s - 29 + 4 = 0. Let h(z) = z - 7. Give s*p(j) + h(j). j - 2 Let v(d) = -3*d**2 + 2*d. Let q be ((-51)/102)/(1/4). Let m(r) = -r**3 + r**2 - r + 1. What is q*m(s) - v(s)? 2*s**3 + s**2 - 2 Let o(z) = -2*z + 2. Let s = 12974 + -12970. Let t(f) be the third derivative of -f**4/8 + f**3/3 - 2*f**2. Give s*t(u) - 5*o(u). -2*u - 2 Suppose 22*q - 42 = 24. Suppose -80 = 23*t - q*t. Let m(u) = u + 2. Let b(c) = 2*c + 4. What is t*b(w) + 9*m(w)? w + 2 Let n(z) = -1266*z**2 -
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when (-7)/(-7) + 5*6 is divided by ((-44)/8)/(1/(-5 - h)). 9 Let i(w) = 7*w**2 - 18*w + 95. Let l be i(4). What is the remainder when (15 + 2)/(45/l) is divided by -1*4*19/(-4)? 13 Let f(k) = 7*k + 331. Calculate the remainder when f(12) is divided by 54. 37 Let f = 1252 - 1217. Calculate the remainder when 3882 is divided by f. 32 Let m be (-8 - 0)*3/12*-47. Suppose -37 = q - m. What is the remainder when q is divided by 16? 9 Suppose -59*s = -32*s - 594. Let u(c) = -52*c - 4. Let m be u(-5). Suppose 0 = a - 4*q - 80, 3*q - m = -3*a - q. Calculate the remainder when a is divided by s. 18 Let m(u) = -4*u + 4. Suppose -5*l - h = -2155, -2*l = -5*h - 1186 + 351. What is the remainder when l is divided by m(-11)? 46 Suppose -7*s + 2*x = -163, -74*s + 69*s + 5*x = -120. What is the remainder when 461 is divided by s? 1 Let h = 14502 + -10537. Calculate the remainder when h is divided by 31. 28 Calculate the remainder when 1027 is divided by (-42 + 25)*1 + 348. 34 Let m = 81 - 58. Let o = -4408 - -4423. What is the remainder when m is divided by o? 8 Suppose -6283 = -219*q + 3744 + 2456. Calculate the remainder when 437 is divided by q. 38 Let r(k) = k + 9. Let l be r(0). Let i be 86/(-301) + 2/7. Calculate the remainder when (-38 + l + i/1)/(-1) is divided by 16. 13 Suppose 318935 = 79*r - 352170. Calculate the remainder when r is divided by 14. 11 Let n = -8 + 13. Suppose -n*x + 363 = -4*k, -4*x + k = x - 357. What is the remainder when x is divided by 34/102 - (-56)/3? 14 Suppose -610 = -5*d - 40*j + 41*j, -221 = -2*d + 5*j. Calculate the remainder when d is divided by 90. 33 Let g(l) = 14*l + 6 - 25*l + 10*l + 11*l**2. Suppose -p + 24 = 2. What is the remainder when g(-3) is divided by p? 20 Suppose 3217 = 12*s - 1679. Calculate the remainder when s is divided by 5. 3 Suppose -i + 6*t + 916 = 4*t, 0 = -4*t - 8. Suppose i = 6*k + 10*k. Calculate the remainder when k is divided by 12. 9 Let c = -10256 + 10488. What is the remainder when c is divided by 82? 68 Let q be -7*(-4)/(-14)*(-30)/4. Suppose -18*m + 3*p + 378 = -q*m, 5*p = -4*m + 531. What is the remainder when m is divided by 15? 9 Let m(l) = -2*l**3 - 3*l**2 + 3*l + 1. Let f(h) = -h**2 - 190*h - 3488. What is the remainder when f(-168) is divided by m(-3)? 18 Let w(l) = 58 + 68 - 121 + 72*l. Let u be w(-1). Let y = u - -83. Calculate the remainder when 25 is divided by y. 9 Let b(x) = -3*x**3 - 10*x**2 - 4*x - 2. Let o be b(-4). Suppose 4*h - o = -2*a + a, 3*a - h = 73. Calculate the remainder when 102 is divided by a. 24 Let i = -602 + 633. Suppose -43*d = -i*d - 384. What is the remainder when 47 is divided by d? 15 Calculate the remainder when 718 is divided by ((-7)/3)/((-57)/342) - 4. 8 Suppose -699*q = -678*q - 1722. What is the remainder when 886 is divided by q? 66 What is the remainder when 172 is divided by (1 - -49) + (-160 - -161)? 19 Let x(p) = -p**3 + 7*p**2 + 7*p + 14. Let v be 7/((-35)/(-30)) - 0. What is the remainder when x(v) is divided by 36? 20 Let x(w) = -w**2 - 5*w. Calculate the remainder when 1 - (5 - (10 + 13)) is divided by x(-3). 1 Let o(d) = 2*d**2 - 29*d - 35. Calculate the remainder when o(18) is divided by 16. 11 Suppose 12*n = 623 + 576 - 1067. Let i(p) = -2*p + 7. Calculate the remainder when i(-3) is divided by n. 2 Let i = 1514 - 1393. Let d(t) = -t**3 + 7*t**2 + 9*t - 34. Calculate the remainder when i is divided by d(6). 9 Let k(t) = t**2 + 34*t + 588. Calculate the remainder when k(-15) is divided by 5. 3 Let r(f) = -f**2 + 206*f - 5512. Calculate the remainder when r(108) is divided by 203. 200 Let h = 219 + -223. What is the remainder when ((-9)/3)/(h/120*3) is divided by 8? 6 Let f = 11585 - 11437. Calculate the remainder when 3549 is divided by f. 145 Suppose -6*f + 76 = -8. Suppose f*b - 10*b = 0. Suppose b*t + 336 = 12*t. Calculate the remainder when 110 is divided by t. 26 Suppose -114*f = 1212 - 5745 - 2193. Calculate the remainder when f is divided by 9. 5 Let v(s) = -12*s**2 - s + 11. Let l be ((-1)/((-2)/(-2)))/(-2)*-10. Let k be v(l). What is the remainder when k*(35/20 + -2) is divided by 18? 17 Suppose 15*z - 14*z + 4*b = 64, -b + 434 = 5*z. What is the remainder when z is divided by 45? 43 Suppose 5*h - 4*s = 1261, 0 = -4*h - 3*s + 2*s + 1013. Calculate the remainder when h is divided by 111. 31 Let q(p) = -p. Let r(m) = 3*m - 2. Let n(o) = 6*q(o) + r(o). Let b(g) = 30*g - 1807. Let h be b(60). What is the remainder when n(h) is divided by 10? 9 Let r(d) = d**3 + 6*d**2 - 50*d - 48. What is the remainder when 334 is divided by r(-10)? 22 Suppose -8*n + 48960 = 2*v + v, -24 = 4*n. Calculate the remainder when v is divided by 38. 34 Let k = -259 - -260. Let u = -28 - 42. Calculate the remainder when (u/30)/(k/(-6)) is divided by 7. 0 Suppose 6*t - 820 = -3*g + 7*g, -5*g - 128 = -t. Calculate the remainder when t is divided by (-75)/(-6)*132/55. 18 Suppose 6*y + y = 3430. Let b = -466 + y. Calculate the remainder when 82 is divided by b. 10 Let j = 4294 + -4067. Calculate the remainder when j is divided by 71. 14 Suppose -4 + 0 = -2*g. What is the remainder when 0 + g + (-3 - -23) is divided by 2/36 + (-1450)/180 - -14? 4 Let k(o) = 2*o**2 + 236*o + 257. Suppose -5*v + 730 = -3*v. What is the remainder when v is divided by k(-117)? 20 What is the remainder when (16/12)/((-54)/(-2106)) is divided by 28/(-6)*(-3)/1? 10 Let p(f) be the first derivative of -f**4/4 - 3*f**3 - 17*f**2/2 - 58*f - 111. What is the remainder when p(-8) is divided by 5? 4 Let s(v) = -67*v**3 + v**2 + v. Suppose 26*k + 3 + 23 = 0. Suppose -22 = -5*c + 13. What is the remainder when s(k) is divided by c? 4 Let y = -11380 - -11857. Calculate the remainder when y is divided by 25. 2 Let i = 1166 + -1151. What is the remainder when 441 is divided by i? 6 Let y(h) = -2*h**2 + 2. Let c be y(1). Suppose 2*x + n + 41 = c, 4*n - 33 - 19 = 4*x. Let z = 22 + x. What is the remainder when z is divided by 3? 1 Suppose -20*n + 18*n + 287128 = 74*n. What is the remainder when n is divided by 31? 27 Suppose 0 = 26957*r - 26942*r - 270. Calculate the remainder when 464 is divided by r. 14 Suppose 36180 = 24*k + 30*k. What is the remainder when k is divided by 85? 75 Suppose 0 = 8*s - 12*s + f + 4093, 3*f + 15 = 0. What is the remainder when s is divided by 80? 62 Suppose -591*v = -566*v - 8950. Let p = -21 - -39. Calculate the remainder when v is divided by p. 16 Suppose -3*i = -2*b - 64, 2 = -2*b + 4. Let c(r) = 66 + 0*r**2 - r**2 + 5*r + 4*r + 35*r - 22*r. What is the remainder when c(23) is divided by i? 21 Let m be 3/9*(-36)/(-2). Suppose 5*w = -2*i + 53, 0 = 2*i + w - 43 - m. Let u(k) = 4*k + 5. What is the remainder when i is divided by u(2)? 11 Suppose 705 = 5*c - 31*a + 36*a, 0 = -a + 6. Calculate the remainder when c is divided by 40. 15 Suppose 10*n - 1 - 109 = 0. Calculate the remainder when (-9)/27 + 1826/6 is divided by n. 7 Let h(q) = 13*q**3 + 3*q**2 + 8*q. Let a be h(4). Suppose 5*z - 1516 = 3*w, 4*z = z + w + a. Calculate the remainder when z is divided by 22. 19 Let a(b) = -b**3 - 85*b**2 + 342*b - 93. Calculate the remainder when a(-89) is divided by 229. 8 Let v(j) = -3 + 2*j**2 - 6 + 1 + 3*j. Let c(s) = s**2 - 6*s - 6. Let b be c(6). Calculate the remainder when 136 is divided by v(b). 44 Suppose -16*l - 16 = -20*l. Suppose 0 = l*j + 3*f - 4, 4*f - 3 = -2*j - 1. Calculate the remainder when 32 is divided by (40/14 + -2)/(j/21). 14 Let l(v) = -v**3 - 2*v**2 + 4*v + 2. Let t = -458 - -825. Suppose 3*n + 5*x - 239 = 0, 2*x = 4*n - x - t. Calculate the remainder when n is divided by l(-4). 16 Let y(o) = -6*o - 3. Let a = 7 - 10. Suppose 0 = -0*q - 6*q + 264. Calculate the remainder when q is divided by y(a). 14 Let x = -121 + 53. Let m = -68 - x. Suppose 3*u + 2*u - 70 = m. Calculate the remainder when 53 is divided by u. 11 What is the remainder when 102 is divided by (0 - 4)*372/(-24)? 40 Let n(g) = -g**3 - 7*g**2 - 9*g - 5. Let s be n(-8). Let k = 208 - s. What is the remainder when 458 is divided by k? 73 Let r(d) = 166*d + 1337. Calculate the remainder when 58 is divided by r(-8). 4 Let n(v) = -v**2 + 17*v + 84. Let c be n(21). Suppose 5*o - 13 - 52 = c. What is the remainder when o is divided by 13? 0 Calculate the remainder when -21
{ "pile_set_name": "DM Mathematics" }
2*(q + 8)/11 Factor -l**3/3 + 581*l**2 + 1163*l + 1745/3. -(l - 1745)*(l + 1)**2/3 Determine w so that 15*w**3 + 65860*w**2 - 21965*w - 43910 = 0. -4391, -2/3, 1 Factor 121*k**3/4 - 7205*k**2/4 + 86975*k/4 + 630125/4. (k + 5)*(11*k - 355)**2/4 Solve -p**5/8 + 5431*p**4/8 - 921403*p**3 - 922082*p**2 = 0 for p. -1, 0, 2716 Determine a, given that -5*a**2/2 - 1540*a + 3085/2 = 0. -617, 1 Find r, given that -3*r**3 + 135129*r**2 - 1522531845*r + 19770083775 = 0. 13, 22515 Factor 2*y**3/3 - 396*y**2 + 17856*y - 209664. 2*(y - 546)*(y - 24)**2/3 Suppose -j**5/6 + 3*j**4 + j**3/2 - 28*j**2/3 + 6*j = 0. What is j? -2, 0, 1, 18 Solve 3*x**4 + 13128*x**3 + 14388264*x**2 + 57395616*x + 57343152 = 0. -2186, -2 Factor -3*k**3 - 20718*k**2 - 20697*k + 124290. -3*(k - 2)*(k + 3)*(k + 6905) Factor -u**3 + 4758*u**2 + 4759*u. -u*(u - 4759)*(u + 1) Solve 5*c**5 - 25*c**4 - 840*c**3 + 6460*c**2 - 5600*c = 0. -14, 0, 1, 8, 10 Factor 5*l**2 - 11355*l - 1197860. 5*(l - 2372)*(l + 101) Factor a**2 - 114236*a + 3262465924. (a - 57118)**2 Determine m so that 2*m**4/5 - 42*m**3/5 - 318*m**2/5 - 182*m/5 + 108 = 0. -5, -2, 1, 27 Factor 5*i**3 + 182350*i**2 + 1662758460*i + 3324787560. 5*(i + 2)*(i + 18234)**2 Solve -g**5 + 68*g**4 - 1012*g**3 - 4822*g**2 - 6331*g - 2590 = 0 for g. -2, -1, 35, 37 Factor 2*h**2 - 592*h + 3480. 2*(h - 290)*(h - 6) Determine b so that b**3 - 998*b**2 - 8068*b + 20120 = 0. -10, 2, 1006 Factor 98*s**4 + 63672*s**3 + 10269128*s**2 - 23722368*s + 13603328. 2*(s + 326)**2*(7*s - 8)**2 Determine k, given that k**2 + 221*k + 3280 = 0. -205, -16 Determine m, given that 2*m**3/11 - 58*m**2 + 13022*m/11 + 1242 = 0. -1, 23, 297 Factor -3*w**3/4 - 52623*w**2/4 - 230528025*w/4 + 2079016875/4. -3*(w - 9)*(w + 8775)**2/4 Factor 3*k**4/8 + 120*k**3 + 1911*k**2/8 + 477*k/4. 3*k*(k + 1)**2*(k + 318)/8 Let 2*o**2/7 - 52*o = 0. What is o? 0, 182 Solve 14*y**5/13 - 164*y**4/13 + 582*y**3/13 - 576*y**2/13 - 216*y/13 = 0 for y. -2/7, 0, 3, 6 Factor n**4 + 5816*n**3 + 8456463*n**2 - 5816*n - 8456464. (n - 1)*(n + 1)*(n + 2908)**2 Solve q**2/2 + 62962*q/3 + 41974/3 = 0 for q. -41974, -2/3 Suppose 57*d**5/2 - 963*d**4/2 + 2685*d**3 - 4842*d**2 - 540*d = 0. Calculate d. -2/19, 0, 5, 6 Solve -z**4/3 + 151*z**3/3 + 1602*z**2 = 0 for z. -27, 0, 178 Solve -2*s**3/3 + 466*s**2/3 + 156*s = 0. -1, 0, 234 Factor -2*m**3/7 + 9288*m**2/7 + 9290*m/7. -2*m*(m - 4645)*(m + 1)/7 Find s, given that -3*s**2/8 + 10779*s/8 + 8091/2 = 0. -3, 3596 Factor -v**2 - 699*v - 3470. -(v + 5)*(v + 694) Let 2*o**2 + 13028*o = 0. Calculate o. -6514, 0 Factor -3*v**3 + 1308*v**2 - 183372*v + 8354400. -3*(v - 200)*(v - 118)**2 Factor -5*h**4 + 19210*h**3 - 38405*h**2 + 19200*h. -5*h*(h - 3840)*(h - 1)**2 Factor -2*k**2/5 - 277914*k/5. -2*k*(k + 138957)/5 Solve 4*t**4 - 4180*t**3 + 1138412*t**2 - 23925020*t - 25067616 = 0 for t. -1, 24, 511 Factor -3*d**3/2 - 86115*d**2/2. -3*d**2*(d + 28705)/2 Factor -q**4/6 + 316*q**3/3 + 957*q**2 + 2880*q + 5769/2. -(q - 641)*(q + 3)**3/6 Solve -413*w**3 - 3693*w**2 + 4346*w - 240 = 0 for w. -10, 24/413, 1 Factor -2*m**2/5 + 7198*m/5 + 14404/5. -2*(m - 3601)*(m + 2)/5 Suppose 4*i**4 + 6520*i**3 + 6500*i**2 - 26080*i - 26064 = 0. Calculate i. -1629, -2, -1, 2 Determine i so that -5*i**4 + 16080*i**3 + 226345*i**2 - 791520*i + 549100 = 0. -17, 1, 2, 3230 Suppose j**2 - 218*j - 440 = 0. What is j? -2, 220 Factor -4*t**2 - 77020*t + 1233344. -4*(t - 16)*(t + 19271) Suppose -4*u**4 - 1144*u**3 - 1100*u**2 + 11368*u - 9120 = 0. What is u? -285, -4, 1, 2 Determine v, given that 2*v**5/13 + 8*v**4/13 - 106*v**3/13 - 264*v**2/13 + 792*v/13 + 1728/13 = 0. -8, -3, -2, 3, 6 Suppose -n**5/2 - 47*n**4/2 - 525*n**3/2 - 1445*n**2/2 - 47*n + 1056 = 0. What is n? -32, -11, -3, -2, 1 Solve -147*c**5/2 - 73563*c**4/2 + 206991*c**3 - 109266*c**2 + 15180*c = 0 for c. -506, 0, 2/7, 5 Factor 2*u**3/21 - 40*u**2/21 - 104*u/7. 2*u*(u - 26)*(u + 6)/21 Suppose -4*f**2/5 - 520*f - 19520 = 0. Calculate f. -610, -40 Find m, given that 5*m**4 - 890*m**3 + 1765*m**2 - 880*m = 0. 0, 1, 176 What is v in -2*v**3/3 - 278*v**2 + 2576*v/3 + 7840 = 0? -420, -4, 7 Suppose -36*t**2 - 226756*t + 50392 = 0. Calculate t. -6299, 2/9 Determine r, given that 4*r**5 - 48*r**4 + 132*r**3 + 152*r**2 - 672*r = 0. -2, 0, 3, 4, 7 Factor 4*h**3 - 279764*h**2 + 4892722508*h - 34235350492. 4*(h - 34967)**2*(h - 7) Let 3*c**2/5 + 12456*c/5 + 12929328/5 = 0. What is c? -2076 Let -g**2/4 + 11*g/2 + 135/4 = 0. Calculate g. -5, 27 Find g such that -2*g**5/7 + 2886*g**4/7 - 5764*g**3/7 = 0. 0, 2, 1441 Factor 4*l**2/9 + 180968*l/9 - 904940/9. 4*(l - 5)*(l + 45247)/9 Find a, given that -10*a**5/19 - 6254*a**4/19 + 35280*a**3/19 - 35368*a**2/19 - 20192*a/19 = 0. -631, -2/5, 0, 2, 4 Factor s**2/4 - 599*s/4. s*(s - 599)/4 Find u such that -4*u**5 - 4568*u**4 - 1750816*u**3 - 229666752*u**2 - 1694032704*u + 4320812160 = 0. -378, -10, 2 What is b in -5*b**2 + 181495*b - 181490 = 0? 1, 36298 Factor 3*y**3/2 - 23673*y**2/2 + 45359337*y/2 + 5330664333/2. 3*(y - 4001)**2*(y + 111)/2 Suppose 2*p**4/5 + 2104*p**3/5 + 32520*p**2 + 684160*p + 1241600 = 0. Calculate p. -970, -40, -2 Solve 14*j**3 + 4590*j**2 + 8472*j - 1304 = 0. -326, -2, 1/7 Factor o**3/5 - 2196*o**2/5 + 696669*o/5 + 121810586. (o - 1283)**2*(o + 370)/5 Factor 2*n**3/21 + 92*n**2/7 - 282*n/7. 2*n*(n - 3)*(n + 141)/21 Find g such that -3*g**4 - 771*g**3 + 9*g**2 + 2307*g - 1542 = 0. -257, -2, 1 Determine n, given that 644405*n**2 + 111290*n + 4805 = 0. -31/359 Solve -z**5 + 4*z**4 + 8*z**3 - 42*z**2 + 9*z + 54 = 0. -3, -1, 2, 3 Suppose -24*o**4 + 332*o**3/3 + 572*o**2/3 + 56*o = 0. What is o? -1, -7/18, 0, 6 Determine q, given that q**4/3 + 328*q**3/3 + 28405*q**2/3 + 78334*q - 471912 = 0. -159, -14, 4 Factor 2*s**2 - 2884*s - 11568. 2*(s - 1446)*(s + 4) Suppose 2*u**4 - 14*u**3 - 862*u**2 - 3186*u - 2340 = 0. What is u? -15, -3, -1, 26 Determine z so that 4*z**3 - 56228*z**2 - 56232*z = 0. -1, 0, 14058 Determine g so that -3*g**3 + 296*g**2 + 2348*g - 1696 = 0. -8, 2/3, 106 What is i in -3*i**5/4 + 2793*i**4/4 + 12657*i**3/2 + 15510*i**2 + 24*i - 22560 = 0? -4, -2, 1, 940 Factor 3*t**3 - 327*t**2 - 2055*t - 1725. 3*(t - 115)*(t + 1)*(t + 5) Factor 3*w**2 - 87*w - 1980. 3*(w - 44)*(w + 15) Find o such that 2*o**3/11 - 614*o**2/11 - 227852*o/11 + 228464/11 = 0. -218, 1, 524 Solve 4*f**3 - 428390*f**2 + 214194*f = 0. 0, 1/2, 107097 Find h, given that h**3/3 - 710*h**2/3 - 23812*h/3 + 50456/3 = 0. -34, 2, 742 Solve -3*d**3/4 - 969*d**2/2 + 3*d + 1938 = 0 for d. -646, -2, 2 Solve 5*w**4 - 1195*w**3 + 13720*w**2 - 22700*w = 0 for w. 0, 2, 10, 227 Factor i**2/7 + 265*i/7 + 7254/7. (i + 31)*(i + 234)/7 Factor 2*g**3/5 + 184*g**2/5 + 1314*g/5 - 2988. 2*(g - 6)*(g + 15)*(g + 83)/5 Let -y**3 - 1051*y**2 - 296435*y - 10456025 = 0. Calculate y. -505, -41 Factor -343*i**2/3 - 340*i/3 + 1. -(i + 1)*(343*i - 3)/3 Factor -16*i**3 - 483644*i**2 - 362724*i. -4*i*(i + 30227)*(4*i + 3) Determine t so that -2*t**4 - 95700*t**3 - 1144811250*t**2 = 0. -23925, 0 Let -i**2/6 + 27*i/2 + 4686 = 0. What is i? -132, 213 Solve -1006*f**2/13 + 5014*f/13 + 80/13 = 0 for f. -8/503, 5 Factor 1074*x**2 + 3075*x - 441. 3*(x + 3)*(358*x - 49) Factor -c**2 - 180938*c - 8184639961. -(c + 90469)**2 Suppose 4*s**3/9 - 500*s**2/9 - 24628*s/9 - 24124/9 = 0. Calculate s. -37, -1, 163 Find b, given that -b**5 + 3481*b**4 - 3044968*b**3 + 27206608*b**2 - 72384256*b + 48219136 = 0. 1, 4, 1736 Find m such that 22*m**5 - 90138*m**4 - 254168*m**3 - 131208*m**2 + 32800*m = 0. -2, -1, 0, 2/11, 4100 Let -400*y**5 - 61520*y**4 - 109284*y**3 + 23704*y**2 - 1216*y = 0. Calculate y. -152, -2, 0, 1/10 Factor 5*x**4 - 85*x**3 - 8165*x**2 - 72875*x. 5*x*(x - 53)*(x + 11)*(x + 25) Suppose -4*k**2 + 19424*k + 38864 = 0. What is k? -2, 4858 Factor -14*v**4 + 33027*v**3 - 2359*v**2. -v**2*(v - 2359)*(14*v - 1) Factor -q**3/2 - 31*q**2 - 285*q/2. -q*(q + 5)*(q + 57)/2 Solve 3*w**3 + 732*w**2 + 22287*w + 182070 = 0. -210, -17 Factor 4*w**2 - 143120*w + 1280208400. 4*(w - 17890)**2 Find i such that -19440*i**4 + 1374048*i**3 - 2269452*i**2 + 964820*i - 13800 = 0. 2/135, 5/6, 69 Determine c, given that -66*c**4 + 6862*c**3 - 178248*c**2 - 6240*c + 21632 = 0. -4/11, 1/3, 52 Factor -v**2/4 - 281*v/4 - 1355/2. -(v + 10)*(v + 271)/4 Find w,
{ "pile_set_name": "DM Mathematics" }
/9. Let x = 88 - p. What is the common denominator of 19/22 and 1702/x + 8/36? 22 Let j = 61 - -29. Suppose -10*l = -5*l - j. Calculate the least common multiple of 12 and l. 36 Suppose 4*b + u = 189, 5*b = -3*u + 220 + 11. What is the lowest common multiple of b and 40? 240 Let n be 3 + (0/4 - 2). What is the common denominator of ((-4)/(-64))/(15/1452) and (1 - n) + (-37)/(-16)? 80 Let m = 109723/20 - 5481. What is the common denominator of m and -1/80? 80 Let f be 0 - 10*400308/(-176). Let j = f - 22749. Find the common denominator of j and ((-4)/(-32))/(8/(-194)). 352 Let c(d) be the second derivative of -d**5/20 - d**4/4 - d**3/3 + 6*d**2 + 26*d. Calculate the smallest common multiple of c(0) and 9. 36 Let p be (2/6)/((-13)/39). Calculate the least common multiple of 6 and 504/(-70)*(p - (-6)/(-4)). 18 Let c = 2/20261 + 6908541/4660030. Let q = 18/23 - c. Calculate the common denominator of -121/6 and q. 30 Let o = -98/267 - -1067929/534. Let t = o - 2042. Calculate the common denominator of 71/3 and t. 6 Let b(h) be the third derivative of -1/6*h**3 + 0*h + 0 + 1/60*h**5 - 1/8*h**4 + 13*h**2. Calculate the smallest common multiple of 5 and b(4). 15 Calculate the least common multiple of 84 and (-430)/(-20) - (-3)/(-6). 84 Let p(r) = 5*r**3 - 3*r**2 + 9*r - 10. Calculate the lowest common multiple of 96 and p(2). 288 Suppose -3*n - 2*s + 79 = 0, -s = -3 + 7. Suppose 0 = 3*o + 5 - n. Calculate the least common multiple of o and 37. 296 Suppose 39*w = 38*w - 3. Find the common denominator of (195/66 + w)/(1/62) and 95/4. 44 Let i = -34 - -37. Suppose 2*s + i*u + 4 = 0, -s - 4*u - u - 9 = 0. What is the smallest common multiple of 3 and s? 3 Let j = -198190559767/744 + 266385218. Let h = 1614/31 - j. Find the common denominator of 97/16 and h. 48 Find the common denominator of -13/464 and (-19 + (-3933)/(-72))*(-1)/6. 464 Suppose -3*w = -0*w - 33. Let c(n) = -1 + 1 - n + 3 + 2*n. What is the least common multiple of c(-2) and w? 11 Let g = -4/57 - -749/114. What is the common denominator of g and 10/45 + (-6147)/(-1134)? 14 Let k be (933/7772)/((-867)/218 - -4). Let q = k + -4/5829. Find the common denominator of -34/9 and q. 90 Suppose 5*x - 33088 + 8218 = 0. Let z be (-4)/(-752)*-1*x. Let o = 2/47 - z. Find the common denominator of o and -55/7. 14 Suppose 4*q - 142 = 5*n, 3*q = 7*n - 3*n + 113. Let r = n + 42. What is the smallest common multiple of 6 and r? 48 Let r(g) = -5 - g - 6 - 16*g - g**2 - 3. Calculate the least common multiple of r(-16) and 16. 16 Let m(j) = -3*j + 33. Calculate the smallest common multiple of m(-11) and 66. 66 Suppose 0 = -n - 0*n + 45. Let i be ((-8)/12)/(6/n). Let q = i + 21. What is the smallest common multiple of q and 8? 16 Find the common denominator of (-254)/(-70)*(-170)/884 and 53/10. 910 Let i be 407 - (-2 - -2) - -1. Let v = 4089/10 - i. Find the common denominator of 42/8*930/1085 and v. 10 Let n(p) = -7*p**3 - 19*p**2 - 4*p + 4. Calculate the least common multiple of 12 and n(-3). 204 What is the common denominator of (-1 - (-114)/(-8))/((-18)/(-4)) and ((-228)/(-8))/(3/(-5))? 18 Let p = 10 - 23. Let u = p - -14. Let o = u - -1. Calculate the smallest common multiple of 8 and o. 8 Suppose -52 = -2*a + 5*u + 7, 0 = a - 5*u - 27. Let w = -52 + a. Let c = w + 36. What is the least common multiple of 20 and c? 80 Let u be (3827/(-645))/((-2)/(-933)). Suppose -8279 = 3*j - 2*g, 2*g = 5*j + 5*g + 13830. Let p = u - j. Calculate the common denominator of p and -27/10. 10 Find the common denominator of (-58)/(-1015)*(-31)/(-2) and 29/50. 350 Let y(u) = -2*u + 17. Let q be y(7). Let j = q + 19. What is the least common multiple of 18 and j? 198 Let l = 532 - 1145/2. Let g = -183288 + 2022320/11. Let k = g + -560. Calculate the common denominator of l and k. 22 Let x = -1/6023 + 319237/108414. Let u = 388275/182 - 66044/13. Let y = -2943 - u. Calculate the common denominator of y and x. 126 Suppose 0 = -4*j + 88 + 172. Suppose -475 = -5*o - j. Calculate the least common multiple of o and 16. 656 Let o = -148 - -164. What is the lowest common multiple of o and 74? 592 Let g = -413/864 - 1/288. Find the common denominator of -88/399 and g. 3591 Find the common denominator of 0*(-5)/(-50) + (-43)/(-18) and 89/372. 1116 Let z(a) = -17*a + 39. What is the lowest common multiple of z(-18) and 57? 6555 Suppose 2*p - 5*o = -3*p - 41060, -p - 2*o = 8197. Let f = p - -5773. Let v = 26812/11 + f. Find the common denominator of 43/8 and v. 88 Let s(n) = -3*n**3 - 7*n**2. Let v be 15/(-2) - (-1)/2. Let q = v - -4. What is the lowest common multiple of s(q) and 44? 396 Let o = 204 + -188. Calculate the least common multiple of o and 48. 48 Let b be (-20)/(-110) + 19648/(-11). Let o be (-4)/30 + (-321981)/(-180). Let u = o + b. What is the common denominator of 75/22 and u? 220 Suppose 0 = 2*o + o + 15, -2*x + 254 = -2*o. Find the common denominator of -87/32 and (-19)/95 - x/(-80). 160 Let w(x) = -3*x**2 - 24*x - 2. What is the common denominator of 48 and w(-7)? 1 Suppose -12*m - 108 = -15*m + 3*v, 0 = -5*m + 2*v + 192. Calculate the least common multiple of m and (44/(-5))/((-3)/15). 440 Let l(s) = s + 10. What is the smallest common multiple of ((-6)/(-2))/((-6)/(-8)) and l(6)? 16 Let o = -321/790 + 1/158. Calculate the common denominator of 7/16 and o. 80 Let v = 614 + -605. Let s = 4 - -1. Calculate the lowest common multiple of v and s. 45 Let l(k) = -k**3 - 4*k**2 + 15. Let n be l(-4). Calculate the common denominator of (-170)/(-16)*(-6)/5 and 9*n/6*-1*1. 4 Let b(r) be the first derivative of 5*r**2/2 + 46*r - 36. What is the lowest common multiple of b(-6) and 40? 80 Let p be 2/(-5) - (-40713792)/1765080. Let d = 2/4903 + p. What is the common denominator of d and 10/9? 9 Let v = -28 + 26. Let r be v*5/(-790)*10. Let h = -1403/474 + r. What is the common denominator of -49/12 and h? 12 Let q = 89729 - 9511203/106. Find the common denominator of q and 61/4. 212 Let a = -192 - -237. Calculate the smallest common multiple of a and 9. 45 Let z = -135 - -3235/24. Let g = z - 109/72. Find the common denominator of g and 22/(-24) + (-8)/(-16). 36 What is the common denominator of 149/72 and 6/56*(-901)/153? 504 Suppose -3*k = -4*g - 5*k + 68, -4*k - 85 = -5*g. Suppose o - 31 = 3*m - 6, 0 = 3*m + o + g. Let j = m + 29. What is the least common multiple of 8 and j? 88 Let o(f) = 4*f - 22. Let m be (-18)/12*40/(-6). Calculate the lowest common multiple of 14 and o(m). 126 Suppose 4*o + 226 = 2*p + 2*o, 98 = p + 2*o. What is the lowest common multiple of p and 24? 216 Let j be 5 - 2 - (3 - 3). Suppose -9 = -0*i - j*i. Calculate the lowest common multiple of 5 and (-2 + (3 - i))*-4. 40 Suppose -5*d + 4*l = -41, 0 = 3*d - 6*l + 2*l - 31. Suppose 8 = -4*s + d*s. Suppose -20*j = -9*j - 176. Calculate the least common multiple of j and s. 16 Suppose -7*y + 2*y - 5*v = 10, 4*v + 16 = 0. What is the lowest common multiple of y and 8? 8 Let o = -42221/30 + 5637/4. Find the common denominator of o and -28/65. 780 Suppose 0 = 5*q + 3*f - 285, -7*q = -6*q + 2*f - 50. What is the lowest common multiple of 24 and q? 120 Let t = 276 - 150. What is the least common multiple of 112 and t? 1008 Suppose 9 + 3 = -t. Let n be 20/6*t/(-17). Let v = n - 593/187. What is the common denominator of v and 43/6? 66 Let m = -126028 - -1010105/8. Let c = m - 5581/24. Calculate the common denominator of c and 111/14. 84 What is the common denominator of (14/4 + -4)*(-140)/18 and 113/80? 720 Let t(w) = w**2 - 21*w - 56. What is the smallest common multiple of 198 and t(-4)? 396 Calculate the common denominator of 109/12 and (-26)/(-189) - 48/(-168). 756 Let w(b) = -3*b - 19. Let v be 11/22*(31 + -1). Let m be w(v). What is the common denominator of (-186)/m*(8 - 10) and -89/14? 112 Let h be ((24 - -1) + -4)*15. Find the common denominator of 71/2 and 0 + h/(-24) + 3. 8 Let l = -3805/4 + 2828/3. Calculate the common denominator of l and -65/68. 204 Let u be (-5906)/(-918) - (-14)/7. Let r = u - 500/51. What is the common denominator of r and 50/9? 27 Let p = -3784423/154 + 24574. Calculate the common denominator of p and -83/33. 462 Calculate the least common multiple of 11 and (0 - 6)*(-16)/(-24) + 14. 110 Let b = -1340813/63 + 21282. Calculate the
{ "pile_set_name": "DM Mathematics" }
= 0. Solve 3*k = 2*n + 2*n - m, 1 = -2*k - n for k. -2 Suppose j - 6*u = -2*u - 18, 5*u - 25 = 0. Suppose m + j*a = 4, -3*m + 5*m - 3 = a. Suppose -m*p + p = -3. Solve -4*o + i = 16, 0*o - i + 13 = -p*o for o. -3 Let l(s) = -s - 14. Let d be l(-17). Suppose -5*a + 9 = -2*a. Suppose -14 = o + 3*t, a*o - 16 = d*t + 2. Solve -3*w - o + 3 = -4*m, -5*w = 3*m - 13 for m. 1 Let z be 1/(-3) - (-44)/6. Suppose 8 = 3*v - 4. Solve 2*a + 2*n = z*a - 31, v*n = -12 for a. 5 Let a be 6/(-4) - (-9)/2. Suppose -5*n = -2*z - z - 15, -a*n + 9 = -3*z. Solve -t - j - 4 = t, -5*t - 3*j - 9 = z for t. -3 Let o be 0/(-2 + 1 + 3). Let l(j) = -j**2 - j + 4. Let r be l(o). Solve -4*w + 5 = 2*s - 5, r*s - 5*w + 6 = 0 for s. 1 Suppose -4*p = -3*g + 5 + 4, -3*p - 15 = -5*g. Solve p = -i - 2*i + 5*l + 21, 0 = -4*i + l + 11 for i. 2 Let t = -5 + 24. Let n = t - 9. Solve -n = -k - 2*k - f, -5*k + 26 = -3*f for k. 4 Let d = -5 + 5. Let q(m) = -m**3 + 19*m**2 - m + 23. Let y be q(19). Solve 21 = -f + y*c, -4*f - 2*c - 10 - 2 = d for f. -5 Suppose -12*z = -11*z. Solve 4*y - 40 = 4*k, z = 2*k - 7*k - 5*y for k. -5 Let k be -2 - (9/(-1) - -4). Solve -4*i + 30 = 5*b, -k*i - 5 = -b - 18 for i. 5 Suppose f - 20 = -4*f. Solve 28 = -2*k - f*i, -i = k + 3*k + 21 for k. -4 Suppose 0*l - l = 6. Let x(o) = -o**2 - 4*o + 12. Let k be x(l). Solve -3*j = 4*h - 7 - 3, -4*h + 3*j + 22 = k for h. 4 Let d(v) = 2*v**2 + v. Let f be d(-1). Let o(l) = 5*l. Let c be o(f). Solve 5*b + 4*z = 4*b + 5, c*b + z = -13 for b. -3 Suppose -3*k = -4*m - 7 - 17, 5*k + 2*m = 40. Solve -4*x = 2*l - 24, 0*x - 2*x = -l - k for l. 2 Suppose -10*k = -9*k - 3. Let b = -3 - -4. Suppose -d - 2*d - 4 = -2*h, -6 = -4*d - 3*h. Solve -3*q + b + 11 = r, -k*r + 5*q - 20 = d for r. 0 Suppose 5*j = -5*z + 5, 8 + 2 = 4*z + 2*j. Solve 5*b = 3*c + 19, 4*c - 3*c + 18 = z*b for b. 5 Suppose 4*k + l - 3 = 0, 5*k + 0*l + l = 3. Let f be (-1)/4 - 13/(-4). Suppose -f = -k*s - s. Solve 2*g - s*g + 3*m - 6 = 0, 9 = 3*m for g. 3 Suppose 13 = -2*g + r - 10, 0 = g + 5*r - 5. Let x = g - -11. Solve -b + 5*v = -20, x = -2*b - 4*v - 1 for b. 5 Suppose 6*v - v = 3*n - 6, 2*v + n = 2. Let y be (-1)/(-1) - (v - 2). Let f = y - 2. Solve 3*o + 6 = -3*x, -4*x = o - 6 - f for o. -5 Let o = 1 - -24. Let f = 31 - o. Solve 3*g = -0*g + 2*k - f, 4*g - k = -3 for g. 0 Suppose 0 = 2*w + 5*c - 20, -3*w + 6*c - 4*c = 8. Solve w = 2*p + 4*h + 14, 1 = -4*p + h for p. -1 Let x be (-3)/3*3 + 3. Solve x = -b - 2, 2*b = 3*q + b - 2 for q. 0 Let p be 4/6 - 2/(-6). Suppose -2*r + 5 = -p. Solve r*h = 4*k - 9, -5*h + 5*k - 13 - 2 = 0 for h. -3 Let w(s) = s + 12. Let b be w(-6). Let o = 33 - 9. Let f be o/15*(-15)/(-6). Solve f*i - 15 = -3*m, -3*i + 3*m + b + 0 = 0 for i. 3 Let l = 15 - 8. Let w = -2 + 2. Suppose -18*v = -12*v - 18. Solve 2*a - t - v = w, -5*a = l*t - 2*t for a. 1 Suppose -8*i + 0*i + 16 = 0. Solve i*o + 19 = -2*c + 3, 3*o = 5*c for c. -3 Let f be 153/18 - (-2)/4. Solve -2*h - d = 1, 4*d + 1 + f = -2*h for h. 1 Let w(l) = l - 2. Let v be w(4). Let n = 5 - v. Solve -2*r - n = -3*r + 2*i, -3 = -4*r - i for r. 1 Suppose -5*d - 32 = -n, 0*d = -3*n + 2*d + 44. Let c = 22 - n. Solve 4*r + 14 = 3*f, r - f + c = 3*f for r. -2 Let n = 12 + -7. Solve -l = -3*g - 3, -n*g + 5 = -l - 4*l for l. -3 Let p be 4/10 - 40/(-25). Suppose -p*a + 0*a = n - 5, 5*a + 3*n - 15 = 0. Solve a = 3*h - 3*r + 15, -2*h - 5*r + 22 = -4*h for h. -1 Let z(o) = -o**2 + 4*o + 2. Let r be z(4). Suppose -t = -r*a + 18 - 5, a + 3*t = -4. Solve -a*q + 3*q + 8 = 2*y, 0 = 5*q + 3*y - 18 for q. 3 Let l be (-102)/(-8) - (-27)/(-36). Solve -5*t + 12 = -y, -y + 0*t + l = 3*t for y. 3 Let u(y) = y - 3. Let p be u(13). Solve -4*b + 4 = -m + 19, -m - p = b for b. -5 Let j = -70 - -154. Suppose 3*f - t = -f + j, 5*t - 130 = -5*f. Suppose -c + f = -0*c. Solve -2*l + 4*a + c = 0, 4*a + a = -l - 10 for l. 5 Let f(a) = a**3 - 9*a**2 - 3*a + 29. Let h be f(9). Solve -4 = 4*j, -j + 5 = h*r - 0 for r. 3 Suppose 4*v - 2*o - 10 = o, -2*v + 18 = 5*o. Solve 6 = 3*x, v*b - b + 4*x = 23 for b. 5 Let k = -14 + 11. Let s be (-1 - (k + 2))/1. Solve n + 2*p = 3, 4*n = p - s*p - 24 for n. -5 Let q = -23 + 34. Solve -3*d + 3*v = 18, -q = -4*d + 5*d - 2*v for d. -1 Let n = -3 - -5. Suppose n*r = r. Suppose 3*p + f - 56 = r, -p + 5*f + 4 + 4 = 0. Solve 0 = -5*m - s + p, m + m + 4*s = 0 for m. 4 Let a be (-30)/(-2)*1/3. Let g = 22 - 16. Solve -1 + 19 = -y - a*r, -g = y + r for y. -3 Let q = -12 + 22. Let l = -1 + q. Let t be (-38)/(-14) + 2/7. Solve -2*p + 5*y - 15 + 0 = 0, 5*p = t*y - l for p. 0 Let j(v) = v. Let o be j(4). Let b be ((-6)/(-4))/(2/o). Solve -2*i + 4*f = -2, -2 = -0*i - 2*i - b*f for i. 1 Let c(k) = k**3 - 6*k**2 + 6*k - 5. Let w = -5 - -10. Let h be c(w). Solve h = -2*y - 0*y + 6, -3*p - 4*y = 3 for p. -5 Suppose -5*y + 7*y + 6 = -4*w, 4*y + 20 = 0. Solve 0 = -3*q + 3*g + 2*g - w, 2*q + 5 = -g for q. -2 Let u be (-17)/(-3) + 1/3. Let m = u + 4. Suppose 0 = 5*q - 2*n + 6, -q - 12 = -2*n - 2*n. Solve -2*o + 2*g - 20 = q, 0*g + g = -3*o - m for o. -5 Let p = 18 + -13. Suppose 0 = -2*m - 12 + 24. Suppose m = p*s - 3*s. Solve 5*y - 5 = 5*v, s*v + v - 6 = -y for v. 1 Let r(h) = 4*h - 51. Let w be r(15). Solve 4*t - w = 4*z - 1, -4*z + 4 = 0 for t. 3 Let k = 164 + -162. Solve 2*m + 0*m = -5*d - 5, k*m - 4*d = -14 for m. -5 Suppose 0 = -2*x + 7 - 1. Let v be (-3)/(-6)*(1 - -1). Let l = v - -2. Solve -x*o + l*y = 0, 0*o + 3*y + 16 = -5*o for o. -2 Let h(v) = -v**3 - 10*v**2 + 12*v + 15. Let x be h(-11). Solve -12 = 4*b - c - 2, -x*b = -2*c + 8 for b. -3 Let t be 9/2 + (-3)/(-6). Let f = t - 3. Let q be (0/f)/((-1)/(-1)). Solve 8 = 7*n - 3*n, -3*g + 3*n - 9 = q for g. -1 Suppose -22 - 14 = 4*v. Suppose 11 + 49 = 4*j. Let k be (v/j)/((-1)/5). Solve a = -k*n + 3 + 15, a = -5*n + 28 for a. 3 Suppose -3*r + 0*m = -m - 1, 10 = -2*r - 2*m. Let q = 14 + -45. Let j = r - q. Solve 2*s + 2*i = 8, -s - j = 4*s - 5*i for s. -1 Let f(t) be the first derivative of t**4/4 + 8*t**3/3 + 3*t**2 + 3. Let a be f(-7). Solve 2*i - 9 = -3*l, 0*i + a = 3*i - 2*l for i. 3 Let z(g) = 0*g + 2 - g**3 + 2*g**3 + g - 3*g**2. Let o be z(3). Suppose -o*d + 0*d + 125 = 0. Solve -w = 2*y + 5, -6*y - 5*w - d = -5*y for y. 0 Let h(r) = -r**3 - 3*r**2 + 3*r + 1. Let f be h(-4). Suppose -2*o = 3*d + o + 6, d = -f*o - 18. Solve -3*w = d*a + 17, 2*a + a = -3*w - 18 for a. -1 Let b(f) = 4*f**3 - f**2. Let j be b(1). Suppose 1 = -n + j. Suppose 2*x - 2*i = n*i + 4, 4*i = 4. Solve -2*m - 8 = -x*p, 4*p = -m - p - 4 for m. -4 Suppose 3*r + 10 = 25. Solve -k + t = -3*k + 1, 2*k + r = -3*t for k. 2 Suppose 12*n + 2 = 14*n. Solve -2*l = -j - n, -4*j + 0*l + 4*l + 4 = 0 for j. 3 Let f(u) = -u - 1. Let r be f(-7). Solve -3*s = w - 0 - 2, w - 5*s = -r for w. -1 Let f be 12/8*(-20)/(-6). Solve -3*p - g + 2*g = -10, -p = -2*g - f for p. 3 Let b = 5 + -1. Let g = b - 4. Solve 0 = 4*h - 2*i + 2, g = -i + 5*i - 12 for h. 1 Suppose 5*s + 20 = 10*s. Solve 0*v - s*u + 7 = 5*v, -3*u = 2*v for v. 3 Let n(m) = m**3 + 2*m**2 - m. Let u be (-4 + 1)*3/(-9). Let b be n(u). Suppose 0 = -b*z + 5*z - 30. Solve 3*d - 2*d = -5*a - 30, 4*a - 2*d = -z for a. -5 Let q(o) = -o**3 - 5*o**2 + 3*o + 9. Let c(v) = -v - 12. Let w be c(-6). Let u be q(w). Solve -4*g = 5*n - u, -g - 9 + 0 = -4*n for n. 3 Let q = -5 - -7. Suppose 4*u = q*y - 69 + 3, u = 1. Solve 0*v - i = v - 10, -3*v + y = 4*i for v. 5 Suppose -5*k + 2 = -4*d, -16 + 3 = d + 5*k. Let y(w) = w**3 + 5*w**2 - 3. Let o be y(d). Solve r + 5*i - 5 = 5, -5*i - o = -4*r for r. 5 Suppose -8*s = -10*s + 6. Let i be -2 + (-9)/s + 13. Solve -5 = -2*f + 1, -4*f = 5*a + i for a. -4 Suppose 4*y + 2*g - 16 = 0, 0*g = 5*y - 4*g - 20. Suppose 10 = -3*b - 2*k, -y*k + 0 = -b + 20. Solve 0 = -4*v - 3*p - 2, -p - 1 - 1 = b for v. 1 Suppose -2*r - 50 = -7*r. Suppose -r = -4*b + 2*b. Solve -5*z + 8 = n + 2*n, b*n - 5*z = -40 for n. -4 Let i be 2/5 + (-2)/5. Suppose -44*a - 6 = -46*a. Solve -5*d = 4*h - 31, i*h + 3*d + 3 = a*h for h. 4 Let p = -4 - -9. Let r(c) = c. Let z be r(-1). Let y = p + z. Solve 5*n + 4*k = k + 28, 0 = -y*n + 2*k + 18 for n. 5 Suppose 0 = -z + 2*c - 11 + 3, z + 5*c = 27. Let v be (0/z)/(-1 + 2). Suppose -3*a + 9 = 0, 2*m + a - 3*a + 2 = v. Solve m*t + 0 + 4 = -5*h, 0 = 2*t - 6 for h. -2 Let z(m) = m - 1. Let r be z(5). Solve u
{ "pile_set_name": "DM Mathematics" }
hat is 15791 - -30? 157c1 In base 12, what is 9 + 1124170a? 11241717 In base 12, what is 11b + -10641b? -106300 In base 15, what is -107c + 221? -d5b In base 16, what is 5102 - -367? 5469 In base 12, what is -46553073 + -5? -46553078 In base 5, what is -333 - -14110013? 14104130 In base 11, what is -15 + a46657? a46642 In base 9, what is -1078548358 + 2? -1078548356 In base 11, what is 1834630 + 6? 1834636 In base 13, what is 13 + -b4087? -b4074 In base 13, what is 20203 - 405? 1cacb In base 11, what is 16660 - -60? 16710 In base 3, what is -10020212 + 12201212222? 12121122010 In base 8, what is -1205263 + 603? -1204460 In base 5, what is 110221020 - -100? 110221120 In base 13, what is 8 + -503344? -503339 In base 6, what is 5 - -33353151014? 33353151023 In base 10, what is -2783262 - 3? -2783265 In base 4, what is 11 + -13131133103? -13131133032 In base 4, what is -1000022 + 13201000? 12200312 In base 9, what is -311225 - -23? -311202 In base 13, what is -a2c8 + 6603? -39c5 In base 6, what is 2010 - 1230? 340 In base 12, what is -5140164 + 3? -5140161 In base 3, what is -122 - -2011010012002002? 2011010012001110 In base 11, what is a60 - -73? 1023 In base 2, what is -101001001101111101110010 + -10? -101001001101111101110100 In base 2, what is 100 - -100110010001011010110100? 100110010001011010111000 In base 15, what is 19a - 2ce560? -2ce3b5 In base 10, what is 54 + 1091481? 1091535 In base 14, what is 3 - 21430d7? -21430d4 In base 12, what is 320552b0 - -6? 320552b6 In base 9, what is -117026716 - -14? -117026702 In base 5, what is 4 + -1043414304? -1043414300 In base 13, what is 22 - -14baa6? 14bac8 In base 16, what is -1401082 + 2? -1401080 In base 10, what is -60 - -4346592? 4346532 In base 11, what is 0 - -a962a6? a962a6 In base 12, what is -a7453 + 4? -a744b In base 12, what is -163 + b5026? b4a83 In base 10, what is -5 + 12064488? 12064483 In base 5, what is -300230114 - -31? -300230033 In base 5, what is -4443404 + -1? -4443410 In base 7, what is 225626 - 23444? 202152 In base 4, what is -112 - 1033222132? -1033222310 In base 5, what is 1010222202342 - -2? 1010222202344 In base 15, what is 2 - 92428? -92426 In base 14, what is -1 - 17bd429? -17bd42a In base 3, what is -1120100 + -1002122? -2122222 In base 4, what is 2 + -32032121100122? -32032121100120 In base 14, what is 0 + 1a850cd? 1a850cd In base 10, what is -232 - -121607? 121375 In base 4, what is -211 + 1201330233? 1201330022 In base 14, what is 18007c + -261? 17dc1b In base 9, what is -376 + 5286? 4810 In base 5, what is -104203120021 + 0? -104203120021 In base 2, what is -11010010111010 + -1101011110100? -100111110101110 In base 12, what is 128329 + 75? 1283a2 In base 7, what is -53230 + -132052? -215312 In base 16, what is -d62da - 8? -d62e2 In base 2, what is -1011000 - 11000111000001011000101? -11000111000001100011101 In base 7, what is 145226 + 114? 145343 In base 11, what is -1a0 + -48350? -48540 In base 7, what is 444026 + 1414? 445443 In base 9, what is -106371754 - 7? -106371762 In base 10, what is 101635444 - 2? 101635442 In base 8, what is -5 - 2513676? -2513703 In base 14, what is -b09dd1 + -2? -b09dd3 In base 3, what is -211020 + -1001120221? -1002102011 In base 16, what is 1042 - b76? 4cc In base 6, what is -24054213 - 4? -24054221 In base 5, what is -30 - 4424441230? -4424441310 In base 4, what is 0 + -3232213330? -3232213330 In base 6, what is -54555 + 253001? 154002 In base 14, what is 1 + -3a4a6d0? -3a4a6cd In base 12, what is -928 - 2180? -2aa8 In base 14, what is -678b0d - 4? -678b13 In base 16, what is 95 - 25833? -2579e In base 6, what is -2 + 30103405350? 30103405344 In base 8, what is 244567204 - 3? 244567201 In base 14, what is -17a + -534c0? -5365a In base 6, what is 110140031 - 0? 110140031 In base 5, what is -22330 - 100041241? -100114121 In base 12, what is -52872 - 20? -52892 In base 13, what is -cb - -76380? 76282 In base 15, what is b2209 - 8e? b216a In base 14, what is 12 - -5b36d0? 5b3702 In base 6, what is 13410245 - 10? 13410235 In base 3, what is 1001020222222 - -12120? 1001021012112 In base 11, what is -14 - -32a5a53? 32a5a3a In base 15, what is -1 + -51703b? -51703c In base 16, what is 4a4e1e6 - 4? 4a4e1e2 In base 13, what is b28099a + 2? b28099c In base 13, what is 1214 - 3763? -254c In base 5, what is -1111244 - -24414? -1031330 In base 11, what is 3027551 + -4? 3027548 In base 15, what is -268cbe7 + -e? -268cc06 In base 3, what is 211022212 - 12210110? 121112102 In base 12, what is -7051 - -153? -6aba In base 5, what is -314 + 113034404? 113034040 In base 4, what is 21301321220113 - 2? 21301321220111 In base 13, what is -29573b3 + -b? -29573c1 In base 8, what is 36 - -2114240? 2114276 In base 11, what is -559a - -2488? -3112 In base 14, what is -2 + -21919ccb? -21919ccd In base 9, what is -1533887 - -8? -1533878 In base 4, what is -1333 + -122122220? -122130213 In base 8, what is 30471047 - 54? 30470773 In base 14, what is -d - -a7305? a72d6 In base 11, what is -540 - a5834? -a6274 In base 12, what is 13906 - 65? 13861 In base 5, what is -122003 - 340? -122343 In base 7, what is -33 + -40504361? -40504424 In base 5, what is -432 - 423013144? -423014131 In base 15, what is -44e - 85b5? -8a14 In base 5, what is -4312334200 + 2? -4312334143 In base 10, what is -137920 - 28? -137948 In base 7, what is 441326 + 12026? 453355 In base 8, what is 1611 + -1522? 67 In base 2, what is 1101001110010 + 111101101? 1110001011111 In base 7, what is 4140 + 24544? 32014 In base 5, what is 1 + -3130041000? -3130040444 In base 4, what is 10111033 - -132023? 10303122 In base 13, what is -1096 - -1965? 89c In base 4, what is 2101220 - -111030? 2212310 In base 10, what is -151 - 251441? -251592 In base 9, what is 4257463 - -456? 4258030 In base 14, what is -23d2870 - -1? -23d286d In base 3, what is 121102110221012120 + 1? 121102110221012121 In base 2, what is 10 - 1111010001111110110010? -1111010001111110110000 In base 9, what is 2321166 + -3? 2321163 In base 11, what is -24a52aa5 + -11? -24a53006 In base 9, what is 248035178 - -5? 248035184 In base 4, what is -31332 - 3000311? -3032303 In base 14, what is 1 - -994586? 994587 In base 16, what is 4 - -86fb4a3? 86fb4a7 In base 10, what is -19 - -635687? 635668 In base 4, what is 32 + 123013100? 123013132 In base 11, what is -3 + -5519249? -5519251 In base 12, what is -383 + -286402? -286785 In base 2, what is -1100011 - 101010100111101001? -101010101001001100 In base 5, what is -22 + 21312114014? 21312113442 In base 5, what is 110023200101 - 10? 110023200041 In base 12, what is -1 + -44238a? -44238b In base 12, what is 16 + -934b2? -93498 In base 6, what is 41024203 - -4003? 41032210 In base 16, what is -127 - -1b0ee? 1afc7 In base 2, what is 10011100 - 11001011100011111011? -11001011100001011111 In base 13, what is -10 + 8b254? 8b244 In base 2, what is -1110011111000111111 + -10011001101? -1110100001100001100 In base 15, what is -2855e + -4aa? -28a19 In base 13, what is b12001 - 1b? b11cb3 In base 2, what is 110111000100100000000 + 100010010? 110111000101000010010 In base 4, what is -230201130312311 - 1? -230201130312312 In base 4, what is 112302020 - 3222320? 103013100 In base 6, what is 153454 + -334? 153120 In base 2, what is -111110000111110010 + -10101010? -111110001010011100 In base 7, what is 136 - 4123255? -4123116 In base 6, what is -3234045 - 42112? -3320201 In base 9, what is -2023 + 25107? 23074 In base 2, what is 11000100001 + -1101111100010001? -1101100011110000 In base 7, what is -663446 - -32? -663414 In base 10, what is 33 - -1718821? 1718854 In base 13, what is 29b8 + -2095? 923 In base 13, what is 56c7 - -1a37? 7431 In base 13, what is -12c05 + c? -12bc6 In base 7, what is 1251422155 + 4? 1251422162 In base 4, what is 102002000121 + 1100? 102002001221 In base 13, what is 16 - -2b41645? 2b4165b In base 8, what is 33317 + 32217? 65536 In base 7, what is -46252 - 4035? -53320 In base 6, what is -3513403424 - 14? -3513403442 In base 2, what is -1101100010011011111 + -1100110? -1101100010101000101 In base 7, what is 1 - -35532246? 35532250 In base 8, what is 41 - -33225? 33266 In base 12, what is a52a4 + 61? a5345 In base 11, what is -4a212a993 - -2? -4a212a991 In base 2, what is 10001000100
{ "pile_set_name": "DM Mathematics" }
/((-3)/(-10)) -20 Calculate (5/75)/(814/85470). 7 What is 1/(((2/21)/((-64)/(-240)))/(198/(-693)))? -4/5 What is (-24)/20*(-27105)/5838? 39/7 Evaluate ((-4)/14*2)/((-8)/38220*-91). -30 What is ((-11)/(110/(-15)))/((40/10)/(-120))? -45 What is the value of 450/(-105)*29/((-2349)/(-756))? -40 Evaluate -1*(-17)/(-68)*(-198)/(-3)*1*2. -33 Evaluate (-2)/(98/(-4536)*18). 36/7 Calculate 76/(-18)*-3*417/(-278). -19 Evaluate (-654)/(-109)*(-51)/17. -18 What is the value of 13332/(-808)*54/33? -27 What is 426*((-2)/(-27))/((1056/(-108))/(-22))? 71 What is the value of (-126)/(-4)*1/54*2? 7/6 ((-108)/(-9))/6*1014/156 13 What is the value of ((-147)/(-686))/(10/28*912/(-380))? -1/4 1057/((-1236690)/7800)*(-9)/5*-2 -24 What is the value of (7/(-7))/((-12)/((-864)/(-2)))? 36 Evaluate (15/(-32)*(-208)/(-52)*1/40)/3. -1/64 Evaluate (-6240)/22880*(-10)/(-20). -3/22 Evaluate (-6393)/(-59668)*(-42)/(-6). 3/4 Evaluate (3154000/215800)/(5/(-13)). -38 (-252)/(29/((-1160)/(-180))) -56 What is the value of (18/264)/(1350/(-2475))? -1/8 (87360/35)/26*4*(-4)/72 -64/3 (2/(-6))/((-1735)/(-130125)) -25 What is the value of 10/((-2520)/(-54))*357/2754? 1/36 7/((-196)/20)*(-59616)/(-9315) -32/7 Calculate (16*81/(-4)*(-16)/(-24))/(574/(-287)). 108 Evaluate (90/120)/(72/(-16))*17*-4. 34/3 (6516/(-35295))/((-10)/65) 6/5 Evaluate (-8)/1*((-135)/198)/(-5)*(-180)/540. 4/11 What is the value of (((-552)/9)/(-4))/(115/(30705/178))? 23 What is 25/2*(48/140)/((-111)/185)? -50/7 Evaluate ((14/(-14))/((-11)/4))/(324/27). 1/33 What is the value of (9/15*21/(17136/(-32)))/((-1)/(-10))? -4/17 What is (205/(-5166)*-1218)/((-5)/9)? -87 Calculate ((-3)/(-1))/((9/36)/((-65)/52)). -15 ((-163125)/67500)/(1/(-24)) 58 Calculate ((-3168)/(-432))/((-6)/63). -77 (-12)/(((-194)/(-291))/((-84)/27)) 56 Evaluate (-308)/(((-199836)/(-351))/(-122)). 66 Evaluate (3/12)/(2/(-12))*2660/(-7410). 7/13 Evaluate (-291893)/5439*(2/4)/(14/(-24)). 46 What is the value of (5*(-9)/15)/(((-36)/(-9))/48)? -36 What is the value of (1575/3800*156/273)/(1/4)? 18/19 Evaluate 500/(-100)*(-1*1)/(420/21). 1/4 Calculate (25/(-9750))/(873/(-10476)). 2/65 What is (326/(-652))/(11/330)? -15 What is (5/6*17/(255/(-6)))/((-3)/(-324))? -36 ((22035/(-61698))/((-1)/(16/(-10))))/(3/357) -68 (-57)/((-304)/(-16))*(-42)/(-4)*(-2)/(-9) -7 (11/(-88))/((2599/(-92))/((-5)/5)) -1/226 Calculate (-2016)/432*9/78. -7/13 What is (-203422)/19686*(-8)/(-124)? -2/3 Calculate (3/183)/(((-1)/2)/(102/204)). -1/61 What is ((-30)/159)/(-5)*((-30)/60)/((-2)/(-4))? -2/53 What is the value of -2*4*(-3)/(-18)*(-236790)/10524? 30 Evaluate (735/(-1715))/(5/(-525)). 45 Evaluate -5*104/(56680/2071). -19 Calculate -6*(-36)/(-135)*315/(-18)*1. 28 Calculate (-150)/120*280/3675. -2/21 (174/29)/6*16 16 What is -2*2/6*(-146)/(3033296/1113)? 1/28 What is (-1)/6*(-30)/(-24)*(-992)/310? 2/3 Evaluate (-63)/54*-10*(-120)/40. -35 What is the value of ((12/(-20))/(360/50800))/((-5)/(15/2))? 127 Evaluate (37*9/(-6))/(((-27)/(-60))/(288/(-960))). 37 Calculate ((-4)/(-266))/((-25320)/(-40090)). 1/42 Calculate (34*(-417)/(-9452))/(((-5)/4)/((-5)/50)). 3/25 ((-349)/(1714986/156))/(2/27) -3/7 What is the value of ((-104)/(-1235))/((-808)/3030)? -6/19 Calculate ((-63)/14)/((-90)/12)*140/(-98). -6/7 Calculate 179/(40096/(-960))*56*(-3)/9. 80 ((-99)/102)/33*-6 3/17 What is (-171)/95*558/810*-10? 62/5 Evaluate 3/2*-65*(-372)/(-39897). -10/11 Calculate 1136/(-426)*(-6)/(-8)*54/(-28). 27/7 Calculate ((-23)/(690/(-612)))/(41/(3280/(-32))). -51 Evaluate ((-3)/9)/(116/(-8352)*(-8)/(-46)*-2). -69 Calculate (-39450)/(-19725)*(-1)/(11/(-3)). 6/11 What is (38/(-10))/((-21432)/530160)? 94 What is the value of (3100/(-11625))/(4/54*-2)? 9/5 Calculate ((745/894)/((-3)/12))/((-2)/(-3)). -5 What is 6*(-38)/(-798)*1022/(-8)*-2? 73 What is ((1/(-15)*-3)/((-48)/(-100)))/(2157/(-1438))? -5/18 Evaluate ((-6090)/(-20))/(-29)*((-2)/(-12))/(1/20). -35 (162/40)/(-3)*(-79)/(-711)*(-165)/(-44) -9/16 Evaluate ((-546)/(-98))/(1152/(-1344)). -13/2 Evaluate -23*(-26)/(-368)*-40. 65 What is the value of 10/(-24)*35*52/650? -7/6 What is ((-765)/(-50))/9*1076/(-4573)? -2/5 What is the value of (-45)/(-273)*((-170128)/(-186))/(-98)? -20/13 What is ((-12)/36)/(79/2607)? -11 Evaluate (370/(-555))/(2/(-64)). 64/3 What is -2*(36/10)/((-616)/1540)*15/72? 15/4 Evaluate (-32300)/11400*(27/6)/1. -51/4 Calculate ((-975)/(-195))/(30/(-258)). -43 Calculate 918/(-3)*(-2976)/75888. 12 What is (-2)/54*((-2142)/(-1547))/(1*3)? -2/117 Evaluate (-24)/(3822/((-2156)/(-44))). -4/13 (-18)/(-6)*(-26)/(33696/378) -7/8 Calculate (-6)/9*(1280/2560)/(((-2)/(-1))/(-318)). 53 What is (-1*(-56)/(-119))/(21/((-546)/(-52)))? -4/17 (-4730)/86*15/(-75) 11 Calculate (-1*(-3)/5)/(((-7560)/300)/(-42)). 1 Evaluate 252/21*((-5)/(-21))/((-125)/(-450))*7. 72 Calculate (-498)/(-4316)*(-2)/15. -1/65 What is the value of ((-1)/(64/(-3808)*14))/((14/16)/(-7))? -34 (21/15*(-2190)/(-21462))/((-1)/((-126)/20)) 9/10 What is the value of ((-18117)/427*(-35)/(-30))/((-1)/(-2))? -99 What is (-300)/(-18)*(-4530)/(-245375)? 4/13 What is the value of (-4)/16*(-2664)/(-1813)*14/(-6)*-63? -54 What is (142135/(-786))/155*(-3)/(-476)? -1/136 (43/(-129)*2)/58*(-6)/(-1) -2/29 Evaluate -7*(-3)/18*(1619244/(-1316))/(-261). 11/2 (5/1)/((-1138)/(-5690)) 25 What is (490/(-350))/(4*1/(-10))*-10? -35 (-3)/((-5)/20*70/(-7))*660/36 -22 (-322088)/(-7824)*(-108)/(-117) 38 ((7371/13)/(-81))/(2/(-8)) 28 What is ((-36)/(-1035))/(((-8)/6)/(-4)*(-552)/920)? -4/23 What is the value of (5676/1118)/(81/702)? 44 Evaluate (-4*(-4)/(-64)*1)/(2/2*-19). 1/76 21*(13545/2058)/(-215) -9/14 What is (13/156*3)/(10/(-2840))? -71 Calculate (417/((-133857)/428))/((-4)/(-171)). -57 Calculate (-343)/(-2646)*228/133. 2/9 Calculate 112/(-4)*((-84)/(-420))/((-7)/(-70)*-2). 28 Calculate 1/2*33*(-232)/(-638)*11/(-6). -11 Calculate (2610/(-2030))/(2*1/(-12)*3). 18/7 Evaluate (-175)/(-13440)*96*16/(-5). -4 Evaluate ((-8134)/(-2905))/((-7)/(-5)). 2 Calculate -7*(-3)/(-6)*(730/(-10731))/(15/54). 6/7 What is the value of ((-112)/532)/(202/21109)? -22 Evaluate ((-959)/(-548))/(-4*(-35)/(-600))*(-20)/6. 25 What is the value of (1071/306)/((-14)/(-72)*1)? 18 What is the value of ((8/6)/((-1246)/(-267)))/((-3)/(-6)*-1)? -4/7 Calculate ((3120/108)/(-26)*(-6)/725)/(16/40). 2/87 Calculate (27*(-190)/(-3591))/(30/(-14)). -2/3 Calculate (-2*2)/(((-96)/(-38016)*44)/((-4)/9)). 16 What is (3*((-33)/(-22))/((-45)/(-4)))/(146/52560)? 144 Evaluate (12/(-30))/(786/(-655)*(-1)/(-6)). 2 What is the value of (-206388)/7056*16/(-9)? 52 What is (-30)/((24090/(-605))/73)? 55 Evaluate (-135)/(-1638)*13*(-77)/66. -5/4 2/1*10695/62031 10/29 Calculate (2046/(-1045))/(-31)*(-25)/20. -3/38 What is the value of 16233/(-773)*(-10)/14? 15 Calculate (-13)/(-248)*(-8444)/(-27443). 1/62 What is 904/(-678)*((-48)/(-4))/(-6)*-6? -16 What is the value of (43/(-15910)*74)/((-2)/(108/(-2)))? -27/5 What is (-41060)/(-20530)*(6/11)/(-2)? -6/11 (24/4*3/(-6))/(264/(-64)) 8/11 ((-145)/(-696)*(-12)/10)/(1/(-128)) 32 (((-1350)/(-567))/(-50))/(2/(-54))*1/1 9/7 Evaluate (-16)/12*(3225/(-4300))/((-4)/90*2). -45/4 Calculate (-2)/(-1)*19/893*-2. -4/47 Evaluate (-16680)/1112*(-7)/1. 105 ((-32)/(-6))/(245136/15321) 1/3 (2/(-12)*252/(-70))/(4/(40/18)) 1/3 Calculate 60/(-2)*(-1240)/(-7440). -5 What is the value of (-4)/((-57*(-96)/1824)/((-18)/224))? 3/28 What is -91*177/3068*(-5)/((-45)/(-2))? 7/6 What is the value of 5941/1828*(-12)/26? -3/2 What is the value of ((-361)/76)/((-9)/(-72))? -38 What is the value of (-13*35/780)/(((-405)/(-36))/15)? -7/9 (-5)/(-495)*3*621/69 3/11 What is the value of (612/(-136))/3*(-100)/3? 50 What is (-6)/14*2708/8124? -1/7 Evaluate (-1)/(-3)*((-14)/(-4))/((-8624)/528). -1/14 ((-270)/19800*20)/(2/((-10)/(-3))) -5/11 ((-12375)/(-3300))/(1/(40/(-6))) -25 What is the value of (-10)/(-60)*(-600)/2800? -1/28 Calculate (-1155)/(-84)*8244/2519. 45 What is (-15)/(-1)*594/109890? 3/37 What is the value of ((-1)/(-12)*4)/(8/8)*(-74115)/(-915)? 27 -2*(9/22)/(125319/12419) -3/37 Evaluate ((4/(-125))/((-1)/(-5)))/8. -1/50 Evaluate (480/1280)/(14/(-112)). -3 What is -1*30*(-8277)/(-2759)? -90 What is the value of (27/11988*40/(-15))/(((-8)/(-12))/2)? -2/111 62/14*(-650)/260*((-42)/15)/1 31 What is the value of 12/((-3240)/50)*14592/(-760)? 32/9 Wha
{ "pile_set_name": "DM Mathematics" }
digit of 807813152? 0 What is the hundreds digit of 1596870861? 8 What is the millions digit of 179600348? 9 What is the ten thousands digit of 1825960120? 6 What is the millions digit of 3497513290? 7 What is the hundreds digit of 35583917? 9 What is the hundreds digit of 104514772? 7 What is the ten millions digit of 94104060? 9 What is the hundred millions digit of 518120031? 5 What is the ten thousands digit of 20825754? 2 What is the thousands digit of 40409402? 9 What is the hundred millions digit of 1661252608? 6 What is the thousands digit of 684189594? 9 What is the hundred thousands digit of 841511731? 5 What is the billions digit of 1040566280? 1 What is the ten millions digit of 465163091? 6 What is the tens digit of 114732214? 1 What is the ten millions digit of 155046494? 5 What is the tens digit of 5071043758? 5 What is the hundreds digit of 375251361? 3 What is the units digit of 161582039? 9 What is the tens digit of 45427298? 9 What is the thousands digit of 103486783? 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{ "pile_set_name": "DM Mathematics" }
t**4 - 19*t**3 + t**2 - 35107 wrt t. 367416*t - 114 Find the second derivative of -12098*b**2*y**3 + b*y**3 - 7*b*y + 40*y**3 wrt b. -24196*y**3 What is the third derivative of 991504*z**4 + 1124859*z**2? 23796096*z What is the third derivative of -525773*o**3 - 1885376*o**2? -3154638 What is the third derivative of -51712*u*y*z**3 - 2*u*y*z**2 - 6*u*z**3 - u + y*z**2 - 1300*y - 12*z wrt z? -310272*u*y - 36*u What is the third derivative of -127*a**4 - 5179*a**3 + 1146943*a**2 wrt a? -3048*a - 31074 What is the third derivative of -22903*y**4 + 205*y**2 - 11*y - 2? -549672*y What is the derivative of 442983*m - 118265? 442983 What is the derivative of -40*j**2*p + 7989*j**2 + 283*j*p wrt p? -40*j**2 + 283*j Differentiate -24*d*i**3 - 298*d*i**2 - 9*d*i + 840538*i**3 with respect to d. -24*i**3 - 298*i**2 - 9*i Find the third derivative of 67841*m**3 + 6*m**2 - 5810*m. 407046 Find the third derivative of 50834*u**5 - 567789*u**2. 3050040*u**2 Find the first derivative of -4*f*i**2 + 42*f*i - 470725*f - 4*i**2 + 24*i wrt i. -8*f*i + 42*f - 8*i + 24 What is the derivative of 395306*m**2 + 214665 wrt m? 790612*m Find the second derivative of 7*j**5*w**2 + 1805*j**3*w**2 - j*w**2 - 99*j + 176*w**2 wrt j. 140*j**3*w**2 + 10830*j*w**2 What is the third derivative of -137456*a**2*c**3*r - a**2*c**3 + a**2*c**2 + 34685*c**2*r wrt c? -824736*a**2*r - 6*a**2 What is the first derivative of 157475*i**4 - 67401? 629900*i**3 Find the second derivative of -396439*s*z**5 + 2*s - 44*z + 837 wrt z. -7928780*s*z**3 What is the third derivative of 34*a**3*c*h**3 - 1731*a**3*c - 11*a**2*h**3 - 2*a**2 + 9*a*h**3 + 30*c*h**3 wrt a? 204*c*h**3 - 10386*c Find the third derivative of -1252727*x**3 - 54853*x**2 wrt x. -7516362 Differentiate -12*j*p**2 - j*p - 3*j*x + 25*j - 417*p*x + 6*x + 3 wrt p. -24*j*p - j - 417*x What is the second derivative of -2*f**2*y**3 + 15*f**2*y - 12*f*y**3 + f*y + 1204*y**3 - 27*y + 14 wrt y? -12*f**2*y - 72*f*y + 7224*y Find the third derivative of -514433*a**4*f + a**4 + 25*a**2*f - 447*a*f + 9*a + 2*f wrt a. -12346392*a*f + 24*a What is the third derivative of -d**4 - 31614*d**3 - 171310*d**2 wrt d? -24*d - 189684 Find the second derivative of 4*u**3 - 22701*u**2 - 219241*u. 24*u - 45402 Find the second derivative of 491484*q**2 + 113269*q - 4 wrt q. 982968 What is the second derivative of -258*c**2*v**2 + c**2*v - 12029*c**2 - 88*c*v**2 - 2*c*v - 5*v**2 + 2*v - 3 wrt v? -516*c**2 - 176*c - 10 What is the third derivative of -20961*g**3 - 1052*g**2 + g + 7? -125766 Find the second derivative of 125721*y**3 - 58353*y. 754326*y Find the second derivative of 429*z**5 + 10*z**3 + 3*z**2 + 1539*z - 18. 8580*z**3 + 60*z + 6 What is the second derivative of -45280*r**5 + r**3 + 4*r + 1300 wrt r? -905600*r**3 + 6*r Differentiate -2*o**3*x - 1916*o**3 + 2*o**2*x + 3*o*x + 125*o + 3143*x with respect to x. -2*o**3 + 2*o**2 + 3*o + 3143 What is the second derivative of -206110*r**2 + 390999*r? -412220 Find the first derivative of -1258132*v**2 - 1135316 wrt v. -2516264*v What is the third derivative of 3431716*a**3*x - 890521*a**2*x + a**2 wrt a? 20590296*x What is the second derivative of 11*i**3*w**2 - i**3*w - 32*i**3 - 97*i*w**2 - 3*i*w - 2*w**2 - w wrt w? 22*i**3 - 194*i - 4 What is the third derivative of -38*k**3*q**3 - 3375*k**3*q + 4*k**2*q**2 - 32*k**2*q - 3*k**2 + 15*k*q**3 - 2*k wrt k? -228*q**3 - 20250*q What is the derivative of -158313*l**3 - 103333 wrt l? -474939*l**2 Differentiate 692*b*q**2*s - 8*b*q*s + 20*b*s + 9371*b - 7*q**2*s with respect to q. 1384*b*q*s - 8*b*s - 14*q*s Find the second derivative of -322*b**4*j - 2*b**4 + 2*b**2*j + 9*b*j - 5*b - 29 wrt b. -3864*b**2*j - 24*b**2 + 4*j What is the third derivative of -108944*c**3 - 6953*c**2 - 3? -653664 Find the third derivative of 53249*d**3*u - d**2*u + 106*d*u + 3*d + 2*u wrt d. 319494*u Find the third derivative of 202970*v**5 - 200765*v**2 - 1 wrt v. 12178200*v**2 Find the third derivative of 207679*p**3 - 207874*p**2. 1246074 What is the second derivative of 58*b**3*x**3 + 732*b**3*x**2 + 1257*b**3*x - b*x - 8 wrt x? 348*b**3*x + 1464*b**3 Differentiate -1253655*d*t - t - 9130 with respect to d. -1253655*t Find the second derivative of 2*g**3*r + 173*g**3 - 9*g**2*r + 11*g**2 + 710*g*r + g + 54*r + 1 wrt g. 12*g*r + 1038*g - 18*r + 22 Find the third derivative of -6197*d**5 + 293*d**4 + 108412*d**2 wrt d. -371820*d**2 + 7032*d Find the second derivative of 193368*j**2 - 110094*j wrt j. 386736 Differentiate 1704992*b**2 - 1730848. 3409984*b Find the second derivative of -2*p**2*u**2 - 3*p**2*u - 44240*p**2 + p*u + 1673*p - 2*u**2 - 33 wrt p. -4*u**2 - 6*u - 88480 What is the first derivative of -85253*y - 23561? -85253 What is the third derivative of 3120*j**2*t**3*v**3 + 518*j**2*t**3*v + 2*j**2*t - 2*j**2 + 127*j*t**3*v**3 - 2*j*t**3*v + j*t**2*v**2 - 10*j*v wrt v? 18720*j**2*t**3 + 762*j*t**3 What is the second derivative of -814220*l**3 - 337*l + 33? -4885320*l Differentiate 2*b**4 + 189012*b + 382947 wrt b. 8*b**3 + 189012 What is the third derivative of -2320*d**2*w**3 + 47*d**2*w**2 + 74*d**2*w + 29*d*w**5 - d*w wrt w? -13920*d**2 + 1740*d*w**2 What is the second derivative of -5951606*h**5 - 1123715*h + 2 wrt h? -119032120*h**3 What is the derivative of -104509*f**3 - f + 88600? -313527*f**2 - 1 What is the third derivative of 8190*i**2*l**4 + 79*i**2*l**3 + 10596*i**2 - 2*l**2 wrt l? 196560*i**2*l + 474*i**2 What is the first derivative of 114516*d*u**2*v + 2*d*u**2 - 84*d*u - 5 wrt v? 114516*d*u**2 Find the second derivative of 16*i**3*q**2 - 3*i**3*t**2 - 4*i**3*t - 45904*i*q**2*t**2 + 3135*i*q**2 wrt t. -6*i**3 - 91808*i*q**2 What is the derivative of 3549652*o*v**2 + 2*v**2 - 3*v - 148774 wrt o? 3549652*v**2 Find the second derivative of -37229*y**4 - 96298*y. -446748*y**2 What is the second derivative of 498*r**3 - 16*r**2 + 45*r + 736 wrt r? 2988*r - 32 Differentiate 2218*r**3 + 4*r**2 - 359. 6654*r**2 + 8*r Differentiate 33*a*m**2 - 1613*a*u**2 - 851*m**4 + m**2*u**2 - 32*u**2 with respect to m. 66*a*m - 3404*m**3 + 2*m*u**2 Find the third derivative of 947*d**4 - 475*d**3 + 961215*d**2 - 2*d wrt d. 22728*d - 2850 Differentiate -310993*y - 492888 wrt y. -310993 What is the third derivative of -571017*j**3 + 2*j**2 - 255736*j wrt j? -3426102 What is the derivative of 3603327*v**2 - 3135603 wrt v? 7206654*v What is the second derivative of r**5 - 1037*r**4 - 2*r**3 - 67650*r? 20*r**3 - 12444*r**2 - 12*r Differentiate -158*y**3 + 1136*y + 1521538 wrt y. -474*y**2 + 1136 What is the third derivative of 1442189*n*w**3 + 9150*n*w**2 - 12*w**2 wrt w? 8653134*n What is the third derivative of 1426*a*v**4 + 4*a*v**2 + 30626*a + 4*v**4 - 145*v**3 - 6*v wrt v? 34224*a*v + 96*v - 870 What is the third derivative of -2*q*y*z**3 - 4*q*y*z**2 + 163*q*z - 287*y*z**3 + 218*z**3 - 79*z**2 wrt z? -12*q*y - 1722*y + 1308 Differentiate 396*a**2*c - 46*a**2 + 3*a*c - 32*c - 5193 with respect to a. 792*a*c - 92*a + 3*c What is the third derivative of -2*i**6*p + 5250*i**5*p - 3*i**2*p - 1026*p wrt i? -240*i**3*p + 315000*i**2*p Differentiate -3*c**3 + 2786*c**2 - c - 198318 with respect to c. -9*c**2 + 5572*c - 1 Find the second derivative of 327214*s**5 + 228*s - 164 wrt s. 6544280*s**3 Find the third derivative of 9*b**3*g**3 - 2*b**3*g**2 - 45*b**3 - 670*b*g**3 + 3*g**3 + 5*g**2 wrt g. 54*b**3 - 4020*b + 18 Find the second derivative of 116*r**2*w**3 - 40*r**2*w**2 + 2*r**2*w - r*w - r + w**4 - 23*w wrt w. 696*r**2*w - 80*r**2 + 12*w**2 Differentiate 63502*f**3*h + 7*f**2*h**2 + 78*h**2 - 1308*h with respect to f. 190506*f**2*h + 14*f*h**2 What is the first derivative of 833183*c - 36408? 833183 Differentiate -2999*d**4*o**2 - 3*d**4 + 1288396*o**2 with respect to d. -11996*d**3*o**2 - 12*d**3 Find the second derivative of 304929*y**3 + 2*y**2 - 2*y + 120729 wrt y. 1829574*y + 4 Find the second derivative of -h**3*x - h**3 - 1303*h**2*x**3 + 3*h*x**3 - h*x**2 + 11*h*x + 11*x**3 wrt h. -6*h*x - 6*h - 2606*x**3 Differentiate -2817528*l + 2618. -2817528 Differentiate 105713*o - 131905 with respect to o. 105713 Find the third derivative of 349*d**4 - 14*d**3 + 2*d**2 - 3*d - 1844 wrt d. 8376*d - 84 Differentiate -12291*b*g*h**2 - 6*b*g*h - 3*b*g - 175*b*h**2 + 2*b*h - 25
{ "pile_set_name": "DM Mathematics" }
Let n(h) = -h**2 - 13*h + 3. Let r be n(-13). Solve 0*a - 3*w - 1 = a, -r*a = -3*w - 9 for a. 2 Suppose h = -4*j - 16, h = 4*j - 0*h + 16. Let q be (-9)/6 + (-18)/j. Solve 3*m - 3*u + 6 = -u, q*u - 10 = 5*m for m. -2 Suppose 7*o - 11*o = -12. Solve 4 = -5*p + o*m, 5*p = 2*p + 5*m + 4 for p. -2 Let g(f) = f**2 - 13*f + 18. Let v be g(12). Let o = v - 5. Let c be 4*-1*(o + -7). Solve 2*d + 21 = t + 9, 4*t - 2*d - c = 0 for t. 4 Let i(t) = 3*t - 6. Let o = 23 - 15. Let m be i(o). Suppose 0 = 5*n - 2 - m. Solve -2*s + 5*r + 11 = s, 0 = 3*s + n*r + 25 for s. -3 Let a = -142 + 146. Solve -4*s + 22 = i + 5, 0 = -a*s + 5*i - 13 for s. 3 Let a be (-95)/(-35) + 4/14. Suppose -b = 5*i + 2 - 17, 15 = a*b. Solve -v - i*l = -7, -4*v + 4*l - 2 = 18 for v. -1 Let c = 0 - 1. Let f(v) = -v**2 + 1. Let s be f(c). Solve -3*u - 8 = m, -2*u + m + 0 - 12 = s for u. -4 Suppose 30 = -b + 37. Solve -24 = 5*i + o, 5*o = -2*i + b*i for i. -4 Let b = -13 + 16. Suppose -2*l + 67 = 3*g + b*l, 0 = 5*l - 25. Solve 4*y = -x + 11, -x - g = -2*x - 5*y for x. -1 Suppose -2*y + 7*y - n - 52 = 0, -5*y - 4*n + 42 = 0. Let q = -5 + y. Solve -q*m - 6 = -7*m, 3*h + 4*m = 6 for h. -2 Let o be -1*(-7)/(-7) - 2*-1. Solve -4*l + 2*m - 1 = o, 4*l + 3*m = -17 for l. -2 Let f(v) = -2*v + 34. Let i be f(17). Solve j - m = i, -2*j - 6 = j - m for j. -3 Let w(v) = -7 + 4 - 1 + 2*v. Let u be w(3). Solve 2*a = -4*p + u, -a - 31 = -2*p + 4*a for p. 3 Let p = -2 - -12. Solve 7*x + p = 2*x, -15 = 3*g + 3*x for g. -3 Let t = -7 + 12. Suppose -7*p + 4*p + 15 = 0. Let g(k) = -k**3 - k**2 + 28. Let w be g(0). Solve -20 = -p*q + 5*d, d = t*q + 4*d - w for q. 5 Let a = 40 + -40. Solve 0 = -a*w + 5*w - 4*z + 10, -5*w + 25 = 3*z for w. 2 Suppose 2*z - k = -10 - 7, 5*z - 2*k + 40 = 0. Let i = 13 + z. Suppose -5*q + u + i = 0, -2*u + 9 = u. Solve -q*g - 3*b + 3 = -5*g, 2*b - 2 = 3*g for g. 0 Let d be (6 - 2) + 0/(-2). Let w(l) = 2*l**2 - 3*l - 2. Let y be w(-3). Suppose 3 = b - y. Solve -2*v - z = 2*z - 8, d*v - 5*z = -b for v. -2 Let v = -18 - -19. Let b = v + -1. Solve b*m + 25 = -2*m + 5*c, 0 = m + 4*c - 20 for m. 0 Suppose -5*d + 5*p + 25 = 0, -15 - 10 = -5*d - 4*p. Solve -3*t + d - 2 = 0, -5*k - 4*t = 16 for k. -4 Let t = 12 + -4. Suppose -j + 2*o + t = 0, 0 = -5*j - o + 3*o + 48. Solve 4*l - 3*x = -14 - 21, -4*l - j = 2*x for l. -5 Let j be (15/6)/((-3)/(-6)). Solve 0*l + 2*l + 6 = -4*q, -6 = -j*q + 2*l for q. 0 Suppose -w = 2*g + 4*w - 36, -2*g + 22 = -2*w. Suppose 40 = 5*z - a - 3*a, -2*z - 2*a = 2. Solve -3*t + 8 = 3*u - g, 4*u + 12 = z*t for t. 5 Suppose -2*n - 10 = -5*z, -2*z - 15 = 3*n - 5*z. Let m(a) = -2*a - 4. Let w be m(n). Suppose w = 2*d - 4. Solve -3*i - 22 = -2*t - d, -3*i + 5*t - 29 = 0 for i. -3 Let l(w) = 11*w**2 + 2*w - 3. Let k be l(2). Solve t = -3*m + 10, -t - k = 4*t - 4*m for t. -5 Let o(g) = 6 - g**2 - 4 - 4 - 5*g. Let h be o(-4). Solve 0 = 4*z - 0*z - f - 9, h*f - 18 = -4*z for z. 3 Suppose -v + 5*b - 12 = 19, -4*v - 4*b = 4. Let z = -3 - v. Solve 0 = 2*l + h - 4, z + 5 = 2*h for l. 0 Let g be -9*(-2)/3 - 3. Suppose -g + 12 = 3*t. Let r = 1 - 1. Solve y - 14 = -t*y - f, r = 5*y + f - 17 for y. 3 Suppose -c + 9*c = 16. Suppose 9 = 5*o - 1. Solve -2*b + 0 = -c*t - 2, -t = o for b. -1 Let m be 2/7 - (-76)/28. Let b = -1 + m. Suppose 0 = -6*o + 12 - 0. Solve 0 = o*w - 5*w - 3*t - 6, -5*t = -b*w + 24 for w. 2 Suppose -3*i = -o, 0*i + 2*i = 2. Let h(z) = 2*z - 4. Let y be h(o). Suppose y*s - 12 = -2*s. Solve -10 = -s*x - 2*x + 3*k, -x - 2*k = -15 for x. 5 Let r(t) = 3*t - 1. Let f be r(1). Let v(c) = -c + 4. Let u be v(4). Let p = f + u. Solve 2*y - d = 10, 0 = -4*y + p*d + d + 24 for y. 3 Suppose 0 = -4*o + 12. Solve 5*g - 2 - 3 = -o*r, 5 = -5*r - 5*g for r. -5 Let q be (-3 + (-16)/(-1))/1 + 0. Solve -v + 8 = -c, 5*v - 2 = q for c. -5 Suppose -2*g + 8 = -2. Solve -a = -2*a - g*w - 23, -w - 5 = 0 for a. 2 Suppose 0 = -4*o - 4*h - 4, 2*h = 2*o - 3*o - 5. Solve -1 = -j, -o*j = 4*u - j - 18 for u. 4 Let l(d) = -d + 15. Let k be l(10). Solve 2*y + 3*h + 10 = -0*h, 0 = 2*y - k*h - 22 for y. 1 Let s(j) = -3*j**3 - j**2 - 2*j - 2. Let f be s(-1). Suppose -f*k = k - 9. Solve 10 = -5*l + y, 5*l = k*l - y + 3 for l. -1 Let t be (-27)/(-5) - (-4)/(-10). Solve 4*z + 10 = -6*f + f, 5*f - t = -z for f. 2 Let f(y) = y**2 + 7*y + 6. Let n(g) = -5*g**2 - 34*g - 31. Let p(a) = 11*f(a) + 2*n(a). Let o be p(-9). Solve 5*w + o*i = 2, 0 = w + w - 4*i + 16 for w. -2 Suppose 2*n - 80 = -0*n. Let c = 65 - n. Let p be (-2)/5 - (-110)/c. Solve 2*f = 5*r - 15, 5*r = -p*f + r + 12 for f. 0 Suppose 2*w = -0*w + 6. Suppose w*v + 18 - 33 = 0. Let p = 12 + -7. Solve 2*u = o - v*o - 12, u = p*o + 29 for u. 4 Let m = 33 - 31. Solve 3*o + m*c - 23 = 0, -3*o + c - 4*c = -27 for o. 5 Let y(h) = h + 8. Suppose 0 = 2*o - 0 - 16. Let w = o + -14. Let m be y(w). Solve x + 16 = -c + 5*x, -6 = -4*c + m*x for c. 4 Let f = -16 + 4. Let z be (-2)/6 + (-4)/f. Solve -3*m - 3*b - 13 = -8*m, 3*b + 3 = z for m. 2 Suppose 30 = 4*t + 2*k - 0*k, 0 = 5*k + 25. Solve 0 = -3*u + 5*m + t, -2*u = 3*m + 2 + 4 for u. 0 Let z be 1*7/(-1)*1. Let c be (-63)/z + (-6)/(-2). Solve 0 = w - 4*h - c, 2*w - 3*h - 9 = -3*w for w. 0 Let m(d) = d**3 - d**2 + d + 2. Let g(y) = -y**3 - 14*y**2 - 12*y + 13. Let a be g(-13). Let j be m(a). Solve 4*b - q - 4 = q, -j = -q for b. 2 Suppose 0 = 4*x - 12, -6*m + 5*x + 10 = -m. Solve m*q + 3 = -4*k - 3, 12 = -2*q - 4*k for q. 2 Let g(a) = 13 + 3*a + 8*a**2 + 6*a - a**3 - 6. Let i be g(9). Suppose -i + 57 = 2*v. Solve -4*d - d = 5*o, o - v = 4*d for o. 5 Suppose 1 = g - 2. Let s be (-1)/g - 16/(-3). Suppose 0 = -s*w - 3*m - 2*m + 130, -4*m + 48 = 2*w. Solve 0 = j + 3*j - 4*o + w, 0 = 5*j + 4*o - 1 for j. -3 Suppose -2*x = -4*x + 10. Let f be (4 - 2)/(-4)*-6. Suppose n = 3*n. Solve n = l + 2*q + f*q - 4, 0 = -x*l + 5*q + 20 for l. 4 Suppose -6*f = -2*f - 20. Suppose -4*c = f*m - 0*m - 29, -2*m + 4*c = -6. Solve -2*w + 1 = 3*i + 6, -5*w + 50 = -m*i for w. 5 Suppose 4*g + 3*y - 2 = 0, -4*y - 12 = -4. Suppose 4*u - 8 = g*u. Solve 0*x + u*s - 6 = -2*x, x = -s for x. -3 Let s(j) = -j + 2. Let d(a) = -2*a + 1. Let i(h) = 2*d(h) - 3*s(h). Let f be i(-4). Solve 4*t + 5*y = 17, 4*y + f*y = -t + 7 for t. 3 Let z = -22 - -49. Let t = -11 - -25. Solve -4*b + 5*v + 46 = t, z = 5*b - 3*v for b. 3 Let l(d) = -4*d - 1. Let a be l(-1). Suppose -2*b + 12 = 5*q + b, 5*b = -a*q + 4. Solve -3*p = 2*m - 4*p, q*m + 4*p = 22 for m. 2 Let d(f) = f**3 + 11*f**2 + 10*f. Let m be d(-10). Solve -3*v + 8 = 4*i + v, 5*i - 5*v - 20 = m for i. 3 Let z = -10 + 15. Let g = z - 0. Suppose 0 = -2*b + 12 + 34. Solve 2*r = -g*o + b, 0*o = o + 5*r - 23 for o. 3 Let u = -2 - 0. Let i = u + 7. Suppose 5*m = 10, 0*q + 30 = 4*q + i*m. Solve -4*b + 12 = -3*b - 5*k, q*b - 5*k = 0 for b. -3 Let p be 2*(300/(-8))/(-5). Solve -16 = 3*f - 4*y - y, 3*y = p for f. 3 Let m be 1/(-3) - (-164)/6. Suppose 2*a - 23 - 3 = 4*y, 4*y = -16. Suppose -5*v - 25 = -p, -p - 5*v = 3*p. Solve 3*s - 4*d - m = p, s = -a*d - 21 for s. 4 Let h be (-3 + 1)/(2/(-4)). Solve -h*a - 5*r = 10 + 31, -a - 5*r = 29 for a. -4 Let a = 26 + 5. Suppose -b - b - 38 = 0. Let f = a + b. Solve o = -2*o - f, -2*n - 4*o = 18 for n. -1 Suppose -r + 5*b = -4*r + 25, 0 = 3*r - 3*b - 57. Solve -r = -3*s - 0*s - 3*c, -s - 3*c = -9 for s. 3 Let q(c) = -c**3 - 4*c**2 + 3*c - 4. Let f be q(-5). Suppose f = m - 2*m. Let t = 4 - m. Solve -5*z = -d - 19, -4*d = 2*z - t - 2 for d. 1 Let k(o) = -5*o**2 - 4*o - 2. Let d(s) = 25*s**2 + 21*s + 11. Let p(g) = -2*d(g) - 11*k(g). Let i be p(-2). Solve -5*u = r - i, 13 - 4 = 3*u for r. 1 Suppose 0 = 5*r - 1 + 21. Let i be (-8)/r - 5 - -6. Solve -2*w = -8, 2*d - i*w = 2*w - 12 for d. 4 Suppose g = -4, 4*g = -4*o + 50 - 2. Solve 0 = v + 3*v + 2*d - o, 4*v - 2*d - 24 = 0 for v. 5 Let h(a) = -a**3 - 7*a**2 + 9*a + 8. Let o be h(-8). Let v be (7 - 6/2) + 1. Let n = v - 0. Solve o = -x + f - 7, n*x - 2*f + 3*f + 5 = 0 for x. -2 Suppose -q + 1 = z + 2, 4*q = -16. Suppose -b = i + z*i + 6, 0 = 4*b - 5*i - 18. Solve 0 = -b*n + 5*n, -3*n = m - 2 for m. 2 Let z be -2*2/(-16) - 105/(-12). Solve -3*d - 3*j = z, -2*d = 3*d - 2*j + 22 for d. -4 Suppose -4*p = -2*d - 28, 2*p - d - 18 = d. Solve 0 = -0*o + 4*o + 5*t + 17, p*o = t + 15 for o. 2 Let d(z) = 2*z + 32. Let t be d(-15). Solve -t*r
{ "pile_set_name": "DM Mathematics" }
umber? True Is 16273 prime? True Is 10711 a composite number? False Is 2669 a prime number? False Is 8813 a composite number? True Is 1551241 a composite number? False Is 3127 a prime number? False Is 930907 prime? False Is 641 a prime number? True Is 1373 a composite number? False Is 24593 a composite number? False Is 6017 a composite number? True Is 236722 a prime number? False Is 18973 a prime number? True Is 21667 a prime number? False Is 2059 a prime number? False Is 1087 composite? False Is 206341 a composite number? False Is 11659 a prime number? False Is 4637 a composite number? False Is 11887 a composite number? False Is 338777 prime? True Is 208759 a composite number? False Is 1727 a prime number? False Is 207563 composite? False Is 500902 a prime number? False Is 307243 composite? False Is 252613 composite? True Is 4033 a composite number? True Is 124717 a composite number? False Is 4547 composite? False Is 11249 prime? False Is 55763 prime? True Is 7897 composite? 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True Is 796217 a prime number? True Is 60097 prime? False Is 17521 composite? True Is 53999 prime? False Is 26053 composite? False Is 941827 composite? True Is 11965 a composite number? True Is 103471 prime? True Is 3076295 a composite number? True Is 51109 a prime number? True Is 40571 a prime number? False Is 26761 a composite number? True Is 93281 a prime number? True Is 357301 composite? True Is 1114243 a composite number? True Is 2032949 composite? True Is 25249 a composite number? True Is 40031 composite? False Is 639382 a prime number? False Is 21961 composite? False Is 183871 prime? True Is 175843 a prime number? True Is 6799 a prime number? False Is 29119 composite? True Is 17693 prime? False Is 3303289 a prime number? False Is 37039 composite? False Is 19967 a prime number? False Is 74837 a composite number? True Is 29593 a composite number? True Is 11967 a composite number? True Is 47681 a composite number? False Is 69821 prime? True Is 3389 composite? False Is 333199 prime? False Is 77191 composite? False Is 671 prime? False Is 28591 composite? False Is 239789 composite? True Is 794191 a composite number? False Is 8741 a composite number? False Is 2153 composite? False Is 9235 composite? True Is 375743 prime? True Is 37537 a composite number? False Is 97 prime? True Is 843773 a prime number? False Is 249703 prime? True Is 3986 a prime number? False Is 135389 a composite number? False Is 75289 a composite number? False Is 6163 composite? False Is 11959 prime? True Is 6178 prime? False Is 4281 a composite number? True Is 73061 a composite number? False Is 439 a prime number? True Is 1214261 a composite number? False Is 20621 a prime number? False Is 179021 composite? False Is 13577 prime? True Is 12239 prime? True Is 30297 a prime number? False Is 13613 composite? False Is 5147 composite? False Is 120331 prime? True Is 32869 prime? True Is 99965 a prime number? False Is 9115 a composite number? True Is 9601 a composite number? False Is 74471 a composite number? False Is 8299 a prime number? False Is 415979 prime? True Is 10651 composite? False Is 87083 composite? False Is 62851 a composite number? False Is 75127 composite? True Is 27191 prime? True Is 891399 composite? True Is 503 prime? True Is 16477 composite? False Is 142271 prime? True Is 15014 a composite number? True Is 22497 a prime number? False Is 292427 prime? True Is 150637 a composite number? True Is 8609 a composite number? False Is 7723 a composite number? False Is 37831 prime? True Is 431 prime? True Is 60377 a composite number? True Is 203417 prime? True Is 400823 composite? False Is 1397 a composite number? True Is 178469 a prime number? True Is 14026 prime? False Is 320363 prime? False Is 94681 composite? True Is 110711 composite? False Is 2272895 a composite number? True Is 57899 a composite number? False Is 23939 composite? True Is 31009 a prime number? False Is 16321 a composite number? True Is 20653 composite? True Is 152509 prime? False Is 505559 a prime number? True Is 229927 prime? False Is 16901 a prime number? True Is 2333 prime? True Is 28349 composite? False Is 1476037 a prime number? False Is 190607 composite? False Is 6803 composite? False Is 38667 composite? True Is 21961 composite? False Is 46549 a prime number? True Is 18037 composite? True Is 7747 composite? True Is 1195 composite? True Is 793811 prime? False Is 21155 prime? False Is 4861 prime? True Is 36911 prime? False Is 180013 a composite number? True Is 6211 composite? False Is 92269 a prime number? True Is 742013 a composite number? True Is 58889 a composite number? False Is 10289 a composite number? False Is 13553 a composite number? False Is 80887 composite? True Is 506969 a composite number? True Is 13051391 a composite number? False Is 2787 prime? False Is 155269 a prime number? True Is 149689 a prime number? True Is 223 prime? True Is 6173 a prime number? True Is 71633 composite? False Is 2642513 a composite number? False Is 3601 a prime number? False Is 55127 a prime number? True Is 5261 prime? True Is 3407 a composite number? False Is 56449 prime? False Is 104047 composite? False Is 10057 composite? True Is 106127 composite? True Is 377033 composite? True Is 99551 prime? True Is 2038747 a prime number? True Is 10061 c
{ "pile_set_name": "DM Mathematics" }
+ d*q - 3 = 0 for q. 3 Let n(t) = -t**2 - 10*t + 1. Let o be n(-9). Let p = -6 + o. Suppose -p*z - 12 = -3*h, h - 5*z + 0*z = 4. Solve -h*a = -a - 15 for a. 5 Let j = -1 - -5. Solve 3*u + 5 = -j for u. -3 Let d = 15 - 10. Suppose -4*r - r = -95. Suppose m + 2*m = 5*k - r, -2*m + k = 1. Solve -7 = -d*t - m for t. 1 Let y(g) = -2*g - 9. Let p be y(-12). Let f = p + -7. Solve -f = s - 4 for s. -4 Suppose 2*m + 0*m - 4 = 0. Let p be 7 + (-1)/(0 + 1). Let s be (-2)/(-3)*p - 0. Solve -m*k + 0*k = s for k. -2 Suppose 9 = 3*v - 0. Let t be 12/v + -1 + 1. Solve t*y = -0*y - 12 for y. -3 Let v(f) = -f**2 + 9*f - 7. Let j(m) = m**2 + 4*m + 3. Let w be j(-5). Let a be v(w). Let o = a - 0. Solve n = o - 6 for n. -5 Suppose -3*z + l + 55 = 0, 5*l - 5 = 2*z - z. Solve 0 = -o - 3*o - z for o. -5 Let h(v) be the third derivative of -v**5/60 - 3*v**4/8 + 2*v**3 + 7*v**2. Let k be h(-10). Solve k*d + 4 = 2 for d. -1 Let z(u) = u. Let i be z(-3). Let s(l) = -l - 2. Let n be s(i). Suppose 0 = -b + 6*b + 4*h - 4, 0 = b + h - 1. Solve b = -r - 4 + n for r. -3 Suppose -4*g - 16 = 4*c, -c - 4 = 3*g + 2*g. Let x be 3/6*3*2. Suppose 0 = -6*p + x*p + 9. Solve g = r + p for r. -3 Let l = 17 + -13. Solve -3*z = 1 - l for z. 1 Let q be (-12)/8 - (-5 - (-14)/4). Solve -2*n - n + 12 = q for n. 4 Suppose 4*s - 125 = -3*h, 0 = s - 5*h - 6 - 8. Suppose 0*x - 5*x + 21 = -4*q, 5*x + 4*q = s. Solve -14 = -3*t - x for t. 3 Let r be (4/5)/((-6)/(-15)). Solve 3*m - r*m = 4 for m. 4 Let m(v) = v**3 - 5*v**2 + v - 1. Let w be 0/(-1) - (-2 + -3). Let c be m(w). Solve c = -t - t for t. -2 Let y = 28 + -20. Suppose 5*g + 2*c + c = -21, -5*c = 5*g + 25. Let b be g/3*(-3)/1. Solve -b*j - y = j for j. -2 Let n(o) = o**3 + 2*o**2 - 2*o - 2. Suppose -q + 2 - 4 = 0. Let x be n(q). Solve 7 = -t + x for t. -5 Suppose -3*t + h = -9, -h = 4*h + 15. Solve -3*m + m = t for m. -1 Let g be 5 - (6 - 0)/2. Suppose -s = -g*s. Solve -4*c = -s*c for c. 0 Let s(g) = g**2 + g + 5. Let c be s(-4). Let x = -11 + c. Solve 3*j = j + x for j. 3 Let q be 9/(-72) + (-33)/(-8). Solve q*f + 9 = f for f. -3 Let s be (36/(-30))/(4/(-10)). Suppose 16 = -4*c + 2*u - 6*u, 18 = -2*c - 4*u. Solve 2*w = -s + c for w. -1 Suppose -15 = -v - 2*v. Let s(h) = h**3 + 8*h**2 + 8*h + 3. Let j be s(-7). Let n = v + j. Solve -n = -a - 3 for a. -2 Let p(i) = i + 2. Suppose 6 = -0*b - b. Let t be p(b). Let o = -2 - t. Solve 0 = l - o + 1 for l. 1 Let f be 4 + (-2 - -2) + 1. Suppose -o - f*z = -8, z = 2*o + o - 8. Solve 0 = o*x - 2*x - 2 for x. 2 Let p(d) be the first derivative of -d**4/4 - 5*d**3/3 - 5*d**2/2 - 2*d + 3. Let g be p(-4). Solve w = -w - g for w. -1 Let d(q) = -5*q**2 + 2 - q**3 - 2*q + 0 + 3*q**2. Let m be d(-3). Suppose p - 4*x - m = 0, -3*x - 7 = 2*p + 3*p. Solve s - 5 = -p for s. 4 Let d be 7/((2 - 2) + 1). Suppose 3*n + 2 = -5*s + d*n, 3 = -3*s + 3*n. Solve 5*b - s + 22 = 0 for b. -4 Let b(h) = h + 5. Let m be b(-3). Let p = -6 + m. Let c be 6/p + (-33)/(-2). Solve -f + c = 4*f for f. 3 Let w be 2*1*(-5)/(-2). Suppose 2*b - 9 = w*r, r = 4*b + 5*r - 4. Suppose -o = b*o. Solve -3*z - z = o for z. 0 Let v be 0 - (-2 - -5) - -6. Solve 2*d - 5 + v = 0 for d. 1 Let z = -13 - -13. Suppose 0 = 2*o - 6 - 2. Suppose z = u - o*u. Solve 3*t + 8 - 2 = u for t. -2 Let f be (-3 - -3)/((-3)/3). Let u = 7 - 9. Let k be ((-15)/(-6))/(u/(-4)). Solve 5*y + f = k for y. 1 Let a(l) = -l**3 - l**2 + 10*l**2 - 2*l**2. Let h be a(7). Suppose h*f - 5*f = -50. Solve -4*i - f = -2 for i. -2 Suppose 0 = -4*c + 6 + 6. Solve -2*p - 10 = c*p for p. -2 Let c(r) = -r**2 - r - 27 - 2*r + 25 + 7*r. Let h be c(2). Solve h*q + 12 = 5*q for q. 4 Let c = 21 + 3. Solve 4*o + c - 4 = 0 for o. -5 Suppose 2*m + 0*m - 12 = 2*q, m + q + 4 = 0. Suppose -7 - m = -4*t. Solve t - 3 = -r for r. 1 Suppose -22 = -2*t + 4*t - 2*k, 3*t + 3 = -3*k. Let p = -6 - t. Solve -2*z + 7*z - 5 = p for z. 1 Let m be (-1 - 0) + (-16)/(-4). Suppose -5*p = 4*q + 1, q + 5*p + 15 + 4 = 0. Suppose 5*a + 14 = 2*r, -5*a = -4*r + q*r + 6. Solve r*s + m = 3*s for s. 3 Let j be 0 - (-3 + -2)*1. Suppose -y + 3 = j, -5*s - 5*y = 5. Suppose -2*b + 3 = -s. Solve -b - 2 = 2*h for h. -2 Suppose 0 = 15*s - 10*s - 15. Solve -2*f = -s*f - 5 for f. -5 Suppose 0 = v - 5*v + 16. Let j = -2 + v. Suppose j*u = -2*u. Solve m + m = u for m. 0 Let c = 20 + -16. Solve 0*g + c = 4*g for g. 1 Let p(f) = -f**2 - 31*f + 36. Let b be p(-32). Solve -3*k + k = b for k. -2 Suppose 3*l = 5*h + l - 10, 3*h - 6 = -3*l. Solve 0 = h*r + r + 3 for r. -1 Let t be 1/(-2)*36/(-3). Let x be (-3)/2*(-8)/t. Solve x*d = 7 + 1 for d. 4 Let t be (-4)/(-3 - 39/(-15)). Suppose -5*c + t = d - c, 10 = d + 3*c. Suppose -d = -4*z + 6. Solve q = z*q + 3 for q. -1 Suppose 5*m = -0*m + 240. Suppose -23 = -i + 5*a, 5*i + 13 = 5*a + m. Suppose 5*w - 22 = i*n, -5*w + 10 = 3*n - 18. Solve -4*c = -15 - n for c. 4 Let n be (-15)/4 - 2/8. Let q = 11 + n. Solve -3*t + q*t + 12 = 0 for t. -3 Let a(h) = -h + 12. Let n be a(8). Suppose -n*s = -9*s + 10. Suppose 22 = 2*k + y - 0*y, 3*k = -s*y + 32. Solve 0*o = 3*o - k for o. 4 Suppose 9*a - 4*a = 10. Suppose -3*z + 20 = 4*g, -12 + a = -2*g - 4*z. Solve -3*q + g = 20 for q. -5 Let o = 10 - 7. Let l be (2 + -2)*(0 + 1). Let q = o + l. Solve 9 = q*n + 3 for n. 2 Let k be 2 + 1/((-1)/(-1)). Let t be 2/4 - k/6. Solve -h = -t - 2 for h. 2 Suppose 4*z = z + 3. Let l be ((-3)/5)/z*-5. Solve l*a = -a for a. 0 Suppose -3*c = 2*l - 15 - 0, 3*c - 24 = -5*l. Let v = -19 - -34. Suppose 5*t - c*h - 32 = 0, 2*h = t - v + 3. Solve 0 = -t*d + 11 - 3 for d. 2 Let m(s) = s**2 - 11*s. Let h be m(11). Solve h = p + 1 + 1 for p. -2 Let z(q) = q**3 - 2*q**2 + q - 2. Let l be z(2). Solve l = -3*m - 2 + 8 for m. 2 Let g be (-8)/16 - 42/(-4). Suppose -9 = -4*n - 41. Let a = -3 - n. Solve -g = a*v - 0*v for v. -2 Let m(y) = y**3 - 2*y**2 + 2*y - 2. Let u be m(2). Let h be 3/(28/8 - u). Solve 7*q + 15 = h*q for q. -3 Let m be (-3 + 6)/((-3)/18). Let x = 25 + m. Solve -2 + x = f for f. 5 Let t(o) = o + 4. Let s be t(3). Solve s + 1 = 2*z for z. 4 Let s(t) = t - 2. Let a be s(3). Suppose j - 1 - a = 0. Solve j*o = -1 + 9 for o. 4 Suppose -5 = -4*w - 3*n, 0*n - 30 = -3*w + 3*n. Suppose 3*b = b, 4*i - 2*b + 16 = 0. Let o be (-51)/(-12) - i/(-16). Solve -o*f + w = 21 for f. -4 Let m be 74/26 - 10/(-65). Suppose 0 = m*a - 7*a. Solve -5*l + 4 + 6 = a for l. 2 Suppose 7 - 1 = 2*d. Let w(s) = s - 3. Let i be w(5). Suppose -2*m = -5*x + 33, x + 2*m - 7 = -2*x. Solve -x = -i*o + d for o. 4 Let p be ((-3)/2)/((-48)/320). Solve 6*a = 8*a + p for a. -5 Suppose -4*v + 0*p - 4*p = -68, -56 = -3*v - 4*p. Suppose -a = -2*j, -v = 3*j - j - 4*a. Suppose 0 = 3*i + j*i. Solve i - 8 = -4*w for w. 2 Let z = -41 - -51. Solve c + z = -4*c for c. -2 Let t(f) = -f + 11. Let i be t(8). Let v = i + -1. Suppose 0 = -3*y + 1 + v, -s - 5 = -5*y. Solve -3*d + d - 8 = s for d. -4 Let o(n) = 2*n**2 + 2*n. Let r be o(1). Solve -8 + r = 2*w for w. -2 Let m(a) = -3*a - 5. Let w be m(-3). Solve 5*b - 16 = w for b. 4 Suppose -39 = -5*u - v, 0 = u + 2*v - 6. Solve -q - u = -3*q for q. 4 Let x = 4 - 2. Suppose -2*l + t - 7 = 0, -l + 3*t - 17 = -x*t. Let r be (l/(-6))/((-1)/(-15)). Solve 9*b - 4*b = r for b. 1 Let x(n) = 4 + 6 - 3 + n. Let c be x(-3). Solve c*m - 5*m = -3 for m. 3 Suppose 0 = -2*a - a + 15. Suppose -a*i + 3*l + 2*l = -100, 2*i = -4*l + 10. Let w = 27 - i. Solve 0 = -0*o - 4*o - w for o. -3 Suppose -p - 40 = -3*p. Let t = 0 + 5. Solve -p = m - t*m for m. 5 Suppose 2*s - 48 = -5*a + 10*a, -s + 20 = -2*a. Suppose -4*c - 2*j = 28, -4*c + c - 4*j - 16 = 0. Let r = c - a. Solve r = -d - d - 4 for d. -2 Let y = 41 - 36. Solve 2*i + y = -3*i for i. -1 Let z(h) = -h**3 + 7*h**2 + 2*h - 9. Let c be z(6). Let b be 3*(-3 - -4) + -13. Let i be c/15 + 6/b. Solve 0 = -l + i for l. 2 Let c be 0 + (-2 - -2)/1. Suppose -5*f + 62 - 22 = c. Let b be (f/24)/((-2)/(-36)). Solve 0 = -r - 2*r + b for r. 2 Suppose 3*x - 39 = -3*m, -3*m + 5*x = -0*x - 31. Suppose o = -4 + m. Suppose 5*k - 4*y = 13, 5*y - o = -k + 12. Solve k*f - 15 = 5 for f. 4 Suppose 4*y = 5*g + 27 - 3, 5*y = -g + 1. Let u(c) = -c**2 + 3*c - 1. Let w be u(y). Solve 0 = 2*s + w + 3 for s. -2 Let d = 110 + -106. Let j = 24 + -11. Solve d*z = 5 - j for z. -2 Let a be ((-2)/(-4))/(2/(-32)). Let c = a - -10. Let h = 7
{ "pile_set_name": "DM Mathematics" }
(c) 1 (d) -3/8 (e) 835 a What is the fourth biggest value in 0, 5/3, -40, -0.04, -3? -3 What is the second smallest value in -13, -195, -3? -13 What is the second biggest value in -6/7, 5, -2/5, -1/5, -2, -25? -1/5 What is the fifth biggest value in 1.2, -4, -0.2, 0.82, -24? -24 What is the third smallest value in 0.2, -0.042141, -2/11? 0.2 What is the fifth smallest value in -2/25, -1, -2, 3, -0.02, 2/7? 2/7 Which is the second smallest value? (a) 23412 (b) 0.05 (c) -3 b What is the fourth smallest value in -0.4, 13.4, -3, -2/27? 13.4 Which is the biggest value? (a) 3/7 (b) -4 (c) 7 (d) 0 (e) 13 (f) 39 f Which is the second biggest value? (a) 5 (b) 2 (c) -1/696 (d) -2/47 b Which is the second smallest value? (a) 17.6 (b) -728 (c) -3 c Which is the smallest value? (a) 70 (b) 1 (c) 2 (d) -1/2 (e) 2/3 (f) 0.4 d What is the second smallest value in 52/281, -0.043, -0.1? -0.043 Which is the third smallest value? (a) 539 (b) -1.1 (c) 2/15 (d) 5 d What is the sixth smallest value in 0, 39/5, 1/2, 3, -132, 4? 39/5 What is the second smallest value in 0, -9/50, 5? 0 What is the fourth smallest value in 0.5, -0.5, -2/25, -34700, 3? 0.5 What is the fourth smallest value in -0.1, -1, -6, -0.3, -496? -0.3 Which is the second biggest value? (a) 0 (b) -1/4 (c) -0.66 (d) -0.2 (e) 0.1 a Which is the sixth biggest value? (a) -4 (b) 11.8 (c) -0.1 (d) -2.36 (e) -0.02 (f) -1/2 a What is the second smallest value in -0.5, 3, -2.079, 2/7? -0.5 What is the third biggest value in -16, 101, -4, -3/7? -4 What is the second biggest value in -4, 3, 7/36, 2/5? 2/5 Which is the third smallest value? (a) 0 (b) 1/4 (c) -303 (d) -3 a What is the biggest value in -1, -244, -80, 2/13? 2/13 What is the second biggest value in 0.365, 1, 3/7, -2? 3/7 Which is the second biggest value? (a) 0.21 (b) 376 (c) 3 (d) -5 (e) 1/31 c Which is the fifth biggest value? (a) 4 (b) 1/4 (c) 0.2 (d) 0.29 (e) 21 (f) -4 c What is the third smallest value in -48/7, 0.3, 12, -6/5, -1.6? -6/5 What is the smallest value in 3063.8, -2/3, -5, 4? -5 Which is the biggest value? (a) -1 (b) -6 (c) 116 (d) -7/22 c What is the biggest value in 0.2, 0, -106, 0.5, 67? 67 Which is the second biggest value? (a) 2 (b) 3/472 (c) -1 (d) 68 a What is the fourth biggest value in -2/13, 0.4, 158/7, -4, 1/9? -2/13 Which is the biggest value? (a) 2/23 (b) -3/4 (c) -13 (d) -2/75 (e) 5/4 e What is the second smallest value in 43, -14, -8.1, 0.5? -8.1 What is the fourth smallest value in -20, 0.1, -1.8, 5? 5 What is the biggest value in 67, 20/3, -2, -1/2, 0.2? 67 What is the fifth smallest value in 0, 3/19, -0.3, 2/11, 14? 14 What is the second biggest value in 0.5, -10, 513, 85? 85 What is the fourth smallest value in 0.3, -1/4, -5, -30522? 0.3 What is the fourth biggest value in -0.4, -2/11, -10, -2.6, -6? -6 What is the second biggest value in 1/3, -1, -19879? -1 What is the third biggest value in 6/37, -0.08, -1/4, -2? -1/4 What is the fourth biggest value in 81, 5/7, 163, -0.3? -0.3 What is the fourth biggest value in 43, 806, -3, -0.1, -19? -3 Which is the biggest value? (a) 0.5 (b) 9468 (c) 0.1 b What is the third smallest value in 9, 4, -0.2, 1, 293? 4 Which is the biggest value? (a) 6 (b) 0.2 (c) 1 (d) 15 (e) -1.1 d What is the second biggest value in -2, -1883/11, 7? -2 What is the third biggest value in -2, -6/5, -3/20, -2/7, 0.3, 1/3? -3/20 What is the biggest value in 0, 1/4, 0.1941, 0.06, -0.2? 1/4 What is the third smallest value in -20, 0.2, -3, 0.5, 2/3, 1.7? 0.2 What is the fourth biggest value in 2, -0.9, 9, -658, 1, 1/5? 1/5 What is the second biggest value in 0.3, 2/17, 1/209, -1? 2/17 What is the second smallest value in 2199, -1, 29? 29 What is the third biggest value in -0.01, -6/17, 0.7169? -6/17 Which is the fourth smallest value? (a) 1/4 (b) -2 (c) 5181 (d) -3 c What is the biggest value in 0.25, 1/5, -2/3985? 0.25 What is the third smallest value in 5.33, 0.1, 0.5, -1/2, 0, 1/5? 0.1 What is the third biggest value in 2, -2.9726, -4/7, 0.4? -4/7 What is the second smallest value in 0.01, -32.834, 1/8? 0.01 Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 16036 (d) -1/2 (e) -0.4 a Which is the smallest value? (a) -1274 (b) -1/2 (c) 23/3 a What is the second biggest value in 8, 0.2, -5/19, 14? 8 Which is the fifth smallest value? (a) -1 (b) 1/6 (c) -3 (d) 2 (e) -3/28 d What is the third biggest value in 4345/59, -2, -1? -2 What is the third smallest value in -3/2, -1, 7, 364, -0.5, -0.1? -0.5 What is the fourth biggest value in -4, -0.2, 2/3, 37184? -4 Which is the third smallest value? (a) -0.5 (b) -0.1 (c) -49.01 b What is the biggest value in 57, 4, -7780? 57 Which is the biggest value? (a) 0.2 (b) -4/3 (c) -2 (d) 5 (e) 0.28 d What is the fifth smallest value in -0.4, 1, -57, 4/5, -48? 1 What is the third smallest value in -19, 1.5552, 0? 1.5552 What is the fifth biggest value in -4, 8/11, 5, 0.079, -3/11, 4? -3/11 Which is the fifth smallest value? (a) 3/8 (b) 5 (c) -3.7 (d) 4 (e) -0.14 b Which is the biggest value? (a) -5.1 (b) -3 (c) -0.5 (d) -5/4 c Which is the second smallest value? (a) 2 (b) -1 (c) -53/10 (d) 1 b What is the third biggest value in -2, 5, 2/15, 19, 0.197? 0.197 What is the fourth smallest value in 1.9, -1, -0.4, 4, 2, -10? 1.9 What is the third smallest value in 19, 9, -2/59, -1/5, -3? -2/59 Which is the third smallest value? (a) 24 (b) 2/7 (c) 0.91 (d) 2/11 (e) 10 c What is the sixth smallest value in 1.3, 0, -18, -0.5, -0.11, 0.2? 1.3 What is the third biggest value in -1, -0.02052, 0.3, -3/5, -2/25? -2/25 What is the second biggest value in -24/29, -44, -1/7, -1/2? -1/2 What is the biggest value in 24, -8, 0.071? 24 What is the fourth biggest value in 7/4, -2/7, 3, 1, 46, -10? 1 What is the third biggest value in 33, -0.2, -5, 3, -2/7, -6? -0.2 What is the biggest value in 6/5, 2/5, -11, -6, 22? 22 What is the third smallest value in 1, -1100/49, -3/10? 1 Which is the fourth smallest value? (a) -38.9 (b) 0.1 (c) 12 (d) -10 c What is the fourth smallest value in -1923, -0.2, -106, 2/3? 2/3 Which is the fifth biggest value? (a) 4 (b) 2 (c) 0.3 (d) -1/5 (e) -25 e Which is the second smallest value? (a) 13/6 (b) -1/5 (c) 0.4 (d) -5 (e) -0.1 b Which is the smallest value? (a) -1 (b) -2 (c) -0.06 (d) -5.11 (e) -5 d What is the second smallest value in 0.06, -0.4, -5, 3/2, -1/10, 48/1337? -0.4 Which is the third biggest value? (a) 4 (b) 0.2 (c) 24 (d) -3 (e) -1 (f) 2/453 b What is the second biggest value in 0.4, 1, -418? 0.4 Which is the fourth biggest value? (a) 286 (b) -1 (c) -0.2 (d) 20 (e) 3 (f) -2/11 f What is the second smallest value in -1/4, 0, 4017/16? 0 Which is the third smallest value? (a) -1.5 (b) -5 (c) 0.4 (d) -1/4 (e) 10.27 d Which is the third smallest value? (a) -22 (b) -1/2 (c) -2.57 b Which is the third smallest value? (a) 45 (b) 147 (c) -1/4 (d) 5/4 (e) 3/7 d Which is the third biggest value? (a) -1/10 (b) -312/527 (c) -5 c What is the fifth smallest value in 2, -1/10, 7, -4, 0.18? 7 Which is the third smallest value? (a) 1/27 (b) -3/5 (c) -54 (d) 0.1 (e) 3/4 (f) -5 b Which is the second biggest value? (a) -6 (b) 3/2 (c) -0.5 (d) -0.129 d What is the third smallest value in -1/11, 0.02, 1.1, -6, -8? -1/11 Which is the third smallest value? (a) 1351 (b) 17/2 (c) 4 (d) -1 b Which is the biggest value? (a) 1/7 (b) 5/3 (c) -5 (d) -0.9 (e) 88 (f) 9 e Which is the fourth biggest value? (a) -2/7 (b) 3/2 (c) 3/8 (d) -0.21 a What is the fourth biggest value in -4/5, 0.15, -2/5, -4, -2, 2/7? -4/5 What is the third smallest value in 0.163, 7.6, 2/7? 7.6 What is the third biggest value in 1, 5, 366, -2, -0.2? 1 What is the biggest value in 0.22, -1, -0.02, 3/2, -1/171, -3? 3/2 Which is the second biggest value? (a) 53 (b) -2 (c) 710 a What is the fifth smallest value in -12, 2, -1/6, -2/7, 2718, 0? 2 Which is the second biggest value? (a) 135 (b) 6 (c) 16 (d) 2 c What is the third biggest value in -3, -5, -12, -0.4, 50? -3 Which is the biggest value? (a) 19 (b) 2 (c) -2/107 (d) 0.3 a Which is the smallest value? (a) -6 (b) -10 (c) 1 (d) 2.31 b What is the se
{ "pile_set_name": "DM Mathematics" }
p**2 - 12*p**2 - 92*p + 21*p**3 + x*p wrt p. 126 Let i(q) be the first derivative of 3*q**3 - 2*q**2 - 1338*q - 115. Differentiate i(f) wrt f. 18*f - 4 Let n(x) be the first derivative of 4*x**2 - 3 - 38*x**6 - 1 - 41*x**6 + 80*x**6. What is the second derivative of n(b) wrt b? 120*b**3 Let s(u) be the first derivative of 461*u**5/5 - 833*u**3/3 - 2175. Find the third derivative of s(o) wrt o. 11064*o Let y(h) be the first derivative of -h**4/4 - 137*h**2 - 151*h + 468. Differentiate y(w) wrt w. -3*w**2 - 274 Suppose 35*m = -11*m + 368. What is the derivative of -149 - 29*j + m*j + j - 20*j + 46 wrt j? -40 Let p(o) = o**2 - 20*o + 24. Let v be p(19). What is the second derivative of -u**v + u**4 - 7*u**5 + 53*u + 12*u**5 wrt u? 80*u**3 + 12*u**2 Suppose -3*a - 2*p + 87 + 4 = 0, 4*p + 97 = 3*a. Find the first derivative of 16 + a*n**4 + 13 + 66*n**4 + 14 wrt n. 388*n**3 Let r(w) = -19*w + 79. Let f be r(4). What is the third derivative of -4065*z**6 - 7*z**2 - 4*z**5 + 3997*z**6 + f*z**5 wrt z? -8160*z**3 - 60*z**2 Let v(c) be the third derivative of -323*c**6/120 + c**5/60 - 221*c**4/24 + c**3/3 + 4*c**2 - 59*c. What is the second derivative of v(b) wrt b? -1938*b + 2 Let h(y) be the second derivative of -52/3*y**3 + 4 - 123/20*y**5 + 0*y**4 + 0*y**2 - 12*y. What is the second derivative of h(b) wrt b? -738*b Let s(p) = 4*p**3 - p**2 + 7*p - 5. Let t be s(2). Suppose -135 = -2*g - t. What is the derivative of 3329*a - 3314*a + g - 18 wrt a? 15 Let t(i) be the third derivative of -i**6/40 + 7*i**5/60 - 3*i**4/8 - 5398*i**3/3 + 12099*i**2. Differentiate t(l) with respect to l. -9*l**2 + 14*l - 9 Let v(r) = -r**2 + 9*r + 28. Let n be v(13). Let t = 46 + n. What is the first derivative of 17 + 22 - 6 + t*g**2 + 13*g**2 wrt g? 70*g Let c(r) be the first derivative of -181*r**4 - 7*r**3/3 - 88*r**2 - 443. Find the third derivative of c(n) wrt n. -4344 Suppose 2*k = -6, -b - 3 = -4*b + 2*k. Let a be (-12)/14*b/((-9)/(-42)). Find the third derivative of -c**4 + 26*c**a - 6*c**4 - 8*c**2 wrt c. 456*c What is the derivative of 1444*q - 339*q - 1318 - 474*q - 472*q wrt q? 159 Suppose -23*x - 18 = -32*x. Let i be -6*(-3)/18*4. What is the third derivative of 38*y**2 + 0*y**4 - 3*y**4 - x*y**i - 21*y**2 wrt y? -120*y What is the second derivative of 686*i**2 - 79 - 22*i**3 + i - 1381*i**2 + 2*i**3 + 692*i**2 wrt i? -120*i - 6 Let b be (-2 - 63/(-27))*(2 + 2). Let o(z) be the first derivative of b*z**3 - 21/4*z**4 - 7 + 0*z**2 + 0*z. What is the third derivative of o(n) wrt n? -126 Let f(y) be the second derivative of -37*y**7/3 + 218*y**3 + 3*y**2/2 - 5946*y. What is the second derivative of f(t) wrt t? -10360*t**3 Let j(k) = 394 - 11*k - 820 - 14*k**2 + 400. Suppose 9*c - 7*c = -44. Let d(w) = -3*w**2 - 2*w - 5. Let f(g) = c*d(g) + 4*j(g). Differentiate f(b) wrt b. 20*b Find the second derivative of -429 - 315 + 20*q + 2555*q**2 - 340 - 321 + 1527 wrt q. 5110 Let x(h) be the third derivative of 4*h - 10/3*h**4 + 11*h**2 + 0 - 4/3*h**5 + 0*h**3. What is the second derivative of x(j) wrt j? -160 Let w(j) = 38*j**4 + 42*j. Let i(f) = 39*f**4 + 41*f. Suppose 0 = -6*c - 34 + 46. Let b(o) = c*w(o) - 3*i(o). Find the second derivative of b(l) wrt l. -492*l**2 Let z = -1688 + 1691. Let g(d) be the first derivative of 0*d**2 + 0*d**z - 11 - 7/4*d**4 - 2*d. Find the first derivative of g(q) wrt q. -21*q**2 Let d(q) = -5*q - 28. Let o be d(-10). Find the second derivative of 13*u**3 - 37*u - o*u**3 + 3*u**3 - 2*u**2 wrt u. -36*u - 4 Let z = -488 - -497. Differentiate 67*l**4 + z*l**4 - 57 + 4*l**2 + 76*l**4 - 4*l**2 with respect to l. 608*l**3 What is the second derivative of -732*s + 1885*s**2 - 201*s - 369*s + 300*s - 764*s wrt s? 3770 Let r(t) be the second derivative of 4137*t**3/2 - 6147*t**2/2 + t - 2349. Differentiate r(g) wrt g. 12411 Suppose 0 = -3*g - 9*g + 36. Suppose j + 3*d + 2 = 2*j, 3*j - g*d - 12 = 0. Find the second derivative of 13*m**j + 12*m**5 - 2*m + 13*m wrt m. 500*m**3 What is the derivative of 5*p - 5*p - 6076 - 509*p**4 + 13116*p**4 wrt p? 50428*p**3 Let k(h) be the third derivative of 1/120*h**6 - 31/60*h**5 - 5/3*h**4 + h + 0*h**3 + 0 + 16*h**2. Find the second derivative of k(b) wrt b. 6*b - 62 Let g = 159 - 104. What is the third derivative of 3*y + 4*y**5 + g*y**5 - y**2 - 16*y**5 + 0*y wrt y? 2580*y**2 Find the second derivative of -76 + 24 - 8*c**3 + 25 + c**2 - 2355*c + 26 - 5*c**4 + c**3 wrt c. -60*c**2 - 42*c + 2 Let o = 7294 + -7294. Let i(t) be the first derivative of o*t**3 + 0*t**4 + 8/3*t**6 - 18*t**2 + 0*t - 11 + 0*t**5. What is the second derivative of i(f) wrt f? 320*f**3 Let j(a) be the first derivative of -a**2 + 19 - 131/6*a**6 + 0*a**5 + 0*a**4 + 0*a**3 - 16*a. Find the second derivative of j(p) wrt p. -2620*p**3 Find the second derivative of -4401*n**5 + 3*n + 759 + 6373*n**5 - 6*n - 7738*n**5 wrt n. -115320*n**3 Let m(j) be the first derivative of 1932*j**5/5 - 2099*j - 8389. What is the derivative of m(v) wrt v? 7728*v**3 Let q(d) = d - 2. Suppose -j + 4*j = 12. Let b be q(j). Find the second derivative of -6*u**2 + 14*u**2 - 8*u**b + 3*u**4 - 5*u wrt u. 36*u**2 Differentiate 205*z**3 - 4*z + 13*z - z - 180*z**3 - 785 + 9*z with respect to z. 75*z**2 + 17 What is the derivative of 23*i**3 - 6908 - 5*i**3 + 6855 + 93*i**3 wrt i? 333*i**2 Let b(v) be the third derivative of -413*v**7/30 + 806*v**5/15 - 3210*v**2. What is the third derivative of b(k) wrt k? -69384*k Let f(a) be the first derivative of 41*a**4/12 - 17*a**3/3 + a**2/2 + a - 111. Let j(w) be the second derivative of f(w). Differentiate j(v) with respect to v. 82 Let q(i) be the second derivative of i**8/14 + 13*i**7/21 - 737*i**4/6 - 100*i + 8. Find the third derivative of q(z) wrt z. 480*z**3 + 1560*z**2 Let r(s) be the second derivative of -1924*s**5/5 - 345*s**3/2 + 8587*s. Find the second derivative of r(p) wrt p. -46176*p Let l(y) be the third derivative of -2141*y**6/120 + 401*y**5/12 + 913*y**2. What is the third derivative of l(h) wrt h? -12846 Let t = 4121 - 4118. Let c(g) be the second derivative of -3*g**2 + 0*g**t - 1/3*g**4 + 0 + 2*g. What is the derivative of c(h) wrt h? -8*h Suppose -5*p = 5*n - 13 - 72, -5*p = -3*n - 101. What is the third derivative of -55*x**2 - 67*x**6 - 7*x**2 - p*x**2 - 2*x**2 - 15*x**6 wrt x? -9840*x**3 Let j(v) be the second derivative of -87*v - 13/4*v**5 + 0*v**3 + 0*v**4 + 0 - 35*v**2. What is the first derivative of j(f) wrt f? -195*f**2 Find the third derivative of 110*o**4 - 9*o**5 + 2*o**3 + 7*o**5 - 7203*o**2 + 52*o**4 wrt o. -120*o**2 + 3888*o + 12 Let w(j) be the third derivative of 647*j**8/112 - 3*j**4/8 - 15*j**3/2 - 4*j**2 + 188*j. What is the second derivative of w(i) wrt i? 38820*i**3 Let j(u) = -u**3 + 2*u**2 + 3*u + 26. Let f be j(4). Find the second derivative of -434*g**4 + 166*g**2 + 28 + g - 2*g - f + 435*g**4 wrt g. 12*g**2 + 332 Let v(g) = 2*g**3 + 7*g**2 + 8*g + 20. Let t be v(-3). Suppose 0 = 2*x - 5 - 3. Find the first derivative of -t*o**4 - 14 - 11 - 6*o**4 - 3*o**x wrt o. -56*o**3 Let x be -3 + 16*1*1. Suppose -4*l + 2*h + 2 = 0, 3*l - 2*l - 2*h = -7. Differentiate 2*q**3 + 22*q**3 - x*q**l - 4 with respect to q. 33*q**2 Let k(d) = 1424*d**2 - 5465*d - 18. Let r(j) = 3*j - 3. Let h(l) = -k(l) + 6*r(l). Find the second derivative of h(b) wrt b. -2848 Suppose 5*i = 2*k - 78, -3*i + 138 = 4*k - 4*i. Suppose 5*u - k + 9 = 0. What is the second derivative of u + 6 + 14*w**5 - w - 11 wrt w? 280*w**3 What is the third derivative of -1080*r**5 - 3*r**6 - 1622*r**2 + 2573*r**2 + 800*r**5 wrt r? -360*r**3 - 16800*r**2 Find the third derivative of -2*q**4 - 110 - 2*q**2 + q**3 - q**3 + 7*q**4 - 6*q**3 + 2*q**3 wrt q. 120*q - 24 Find the second derivative of -205388*m - 3546*m**2 + 206194*m + 32 - 32 wrt m. -7092 Let b be (-6)/(-21) + (-103)/(-7) + 5. Suppose -b*z + 25 = -15*z. What is the second derivative of -4 + z*n**3 + 11*n**3 + 4 - 23*n wrt n? 96*n Let y(x) be the third derivative of 5*x**2 - 1/20*x**5 - 29/3*x**3 + 7/8*x**4 + 3 + 0*x. Differentiate y(f) with respect to f. -6*f + 21 Let b = -194 - -336. What is the third derivative of 5*a**2 + 8*a**5 - 275*a + 137*a + b*a wrt a? 480*a**2 Let t be (-4)/(-12)*3 + -100. Let q = 143 + t. Find the second derivative of q*p - 64*p + 18*p**5 - 6
{ "pile_set_name": "DM Mathematics" }
530 What is prob of sequence mvl when three letters picked without replacement from {m: 2, o: 1, s: 1, l: 1, d: 2, v: 1}? 1/168 Calculate prob of sequence msuu when four letters picked without replacement from {u: 2, m: 1, s: 2, w: 1}. 1/90 What is prob of sequence dddd when four letters picked without replacement from {d: 9, o: 5}? 18/143 Three letters picked without replacement from {c: 3, d: 4, n: 1, u: 1, z: 2}. Give prob of sequence nuc. 1/330 Two letters picked without replacement from {n: 1, l: 1, e: 5, i: 1, t: 3}. Give prob of sequence ie. 1/22 Four letters picked without replacement from mrumlmllmlmlmm. What is prob of sequence lmlm? 5/143 Two letters picked without replacement from {v: 3, q: 1, u: 3, e: 1, c: 6, g: 1}. What is prob of sequence cu? 3/35 Calculate prob of sequence byg when three letters picked without replacement from buusygu. 1/210 What is prob of sequence ji when two letters picked without replacement from rirgroojrrjgrzjogr? 1/102 What is prob of sequence hh when two letters picked without replacement from {v: 4, a: 1, h: 2}? 1/21 Two letters picked without replacement from vdmddmdoddddpdzomo. Give prob of sequence vp. 1/306 Three letters picked without replacement from lttllltlsllltltlltt. What is prob of sequence lls? 55/2907 Two letters picked without replacement from chdhhhhhhhcdhdcc. Give prob of sequence cc. 1/20 Two letters picked without replacement from {l: 1, a: 2}. Give prob of sequence la. 1/3 What is prob of sequence cic when three letters picked without replacement from jjjcijiciccjjjccjjc? 7/323 Four letters picked without replacement from {r: 4, y: 1, k: 3, h: 3, d: 2, n: 6}. Give prob of sequence krry. 1/2584 Two letters picked without replacement from mjubqmwq. Give prob of sequence wm. 1/28 Four letters picked without replacement from osuusuuuuosuo. What is prob of sequence sssu? 7/2860 Three letters picked without replacement from {m: 1, t: 1, n: 1, g: 2, q: 1, o: 1}. What is prob of sequence qot? 1/210 Three letters picked without replacement from {m: 1, a: 14, z: 2}. What is prob of sequence aaz? 91/1020 Three letters picked without replacement from jjjjjjjjjj. Give prob of sequence jjj. 1 Two letters picked without replacement from {s: 2, p: 5}. Give prob of sequence sp. 5/21 Calculate prob of sequence dhdf when four letters picked without replacement from qfddqqqyqoqqhq. 1/12012 What is prob of sequence vvo when three letters picked without replacement from svvoovo? 3/35 Calculate prob of sequence ss when two letters picked without replacement from {t: 4, s: 2}. 1/15 Three letters picked without replacement from ptjxtttlxpxljtjttp. What is prob of sequence lxj? 1/272 Three letters picked without replacement from yljjejyj. What is prob of sequence eyl? 1/168 Calculate prob of sequence zjjz when four letters picked without replacement from zjzjjj. 1/15 Three letters picked without replacement from xccxc. What is prob of sequence xxc? 1/10 Two letters picked without replacement from {b: 5, h: 1, i: 5, t: 5, e: 3, g: 1}. What is prob of sequence ie? 3/76 Two letters picked without replacement from jjjjjjjjjjjzjb. Give prob of sequence jb. 6/91 Three letters picked without replacement from {x: 2, l: 8, g: 2, t: 1}. What is prob of sequence xtg? 1/429 Four letters picked without replacement from jjjjjjjjjajjjajjjjj. What is prob of sequence jaja? 1/171 Four letters picked without replacement from {r: 2, p: 1, h: 4, g: 1, o: 2}. Give prob of sequence rgrh. 1/630 Two letters picked without replacement from {a: 2, t: 7}. What is prob of sequence aa? 1/36 Three letters picked without replacement from lstslltttt. What is prob of sequence ltl? 1/24 What is prob of sequence ly when two letters picked without replacement from {n: 4, y: 3, e: 1, g: 1, m: 3, l: 5}? 15/272 What is prob of sequence gg when two letters picked without replacement from iugguiiig? 1/12 Three letters picked without replacement from {p: 6, a: 1, i: 3, o: 3}. Give prob of sequence aoo. 1/286 Three letters picked without replacement from {f: 1, i: 1, z: 2, s: 1, b: 1, m: 2}. What is prob of sequence msm? 1/168 What is prob of sequence zd when two letters picked without replacement from {z: 1, d: 11, k: 3}? 11/210 Three letters picked without replacement from {e: 2, h: 3, f: 1, d: 10}. What is prob of sequence ehf? 1/560 What is prob of sequence ds when two letters picked without replacement from {s: 2, d: 2, x: 1, y: 4, r: 1}? 2/45 What is prob of sequence xj when two letters picked without replacement from {j: 3, x: 1, i: 5, p: 7}? 1/80 Four letters picked without replacement from dsmmdxmdumummsmjm. What is prob of sequence sdum? 1/595 Three letters picked without replacement from ydkdyryrykryr. What is prob of sequence rrd? 2/143 What is prob of sequence ggg when three letters picked without replacement from kkggkgkgkggggggggg? 143/408 Four letters picked without replacement from wtffw. Give prob of sequence wftw. 1/30 Three letters picked without replacement from kzafyqy. Give prob of sequence yay. 1/105 What is prob of sequence fkfl when four letters picked without replacement from {s: 2, k: 2, l: 2, f: 3, g: 6}? 1/1365 Calculate prob of sequence khki when four letters picked without replacement from {i: 3, y: 1, k: 3, h: 1, n: 2, j: 2}. 1/660 Two letters picked without replacement from {h: 1, i: 7, z: 2, y: 2}. Give prob of sequence yi. 7/66 What is prob of sequence bbbd when four letters picked without replacement from bddwwbdwwwwwwwwwbbd? 1/969 Two letters picked without replacement from {a: 8, j: 3}. What is prob of sequence jj? 3/55 What is prob of sequence rrrw when four letters picked without replacement from {w: 4, r: 14}? 91/765 Calculate prob of sequence qp when two letters picked without replacement from {q: 1, p: 6, l: 1, a: 8, t: 1}. 3/136 Calculate prob of sequence dhh when three letters picked without replacement from jwdnjuhh. 1/168 Three letters picked without replacement from vvyvyyyvyyyvoyvyvyoy. What is prob of sequence vyy? 77/684 Two letters picked without replacement from {r: 6, x: 7, i: 1}. What is prob of sequence xr? 3/13 Four letters picked without replacement from pxppzzpzzzzppz. Give prob of sequence zxzp. 3/286 Calculate prob of sequence uu when two letters picked without replacement from uuuuuuububbbuuuuuuuu. 12/19 What is prob of sequence rlwy when four letters picked without replacement from lrrrroyrwwooyly? 1/546 Two letters picked without replacement from {z: 1, j: 4, p: 6}. What is prob of sequence pz? 3/55 Calculate prob of sequence wgwk when four letters picked without replacement from wggwwwwwwwwwwwwgk. 39/4760 Two letters picked without replacement from niininniaqqqiqnaq. Give prob of sequence ia. 5/136 Two letters picked without replacement from ttyyttttt. Give prob of sequence tt. 7/12 What is prob of sequence wbr when three letters picked without replacement from {p: 1, r: 3, b: 1, w: 2, v: 5}? 1/220 Two letters picked without replacement from cccl. What is prob of sequence cc? 1/2 Three letters picked without replacement from jjhhj. What is prob of sequence hjh? 1/10 What is prob of sequence vvkk when four letters picked without replacement from vvvkvkjkkvkkavkv? 21/520 Three letters picked without replacement from {n: 1, l: 1, o: 1, s: 1, e: 1}. What is prob of sequence elo? 1/60 Calculate prob of sequence fh when two letters picked without replacement from plqhpfdfq. 1/36 What is prob of sequence ttt when three letters picked without replacement from {t: 4, j: 16}? 1/285 What is prob of sequence eet when three letters picked without replacement from {a: 2, t: 10, e: 2}? 5/546 Two letters picked without replacement from {u: 1, x: 2, m: 1, s: 1}. What is prob of sequence mu? 1/20 Four letters picked without replacement from {m: 3, y: 1, b: 1, a: 2, q: 6}. What is prob of sequence aayq? 1/1430 What is prob of sequence ct when two letters picked without replacement from {c: 6, q: 1, t: 11}? 11/51 Two letters picked without replacement from skcoj. What is prob of sequence ok? 1/20 Two letters picked without replacement from wwdbvwnwwwvv. What is prob of sequence vn? 1/44 Calculate prob of sequence neqm when four letters picked without replacement from xnqme. 1/120 Two letters picked w
{ "pile_set_name": "DM Mathematics" }
ue? (a) 2/7 (b) 5 (c) -48949 c Which is the smallest value? (a) -1 (b) -2/15 (c) -5 (d) -8.13 (e) -2.8 (f) -7 d Which is the fifth smallest value? (a) 1/5 (b) -12.6 (c) -3/2 (d) -9851 (e) 5 e Which is the second smallest value? (a) 5.8 (b) -2/13 (c) -3671/3 b Which is the third biggest value? (a) -4 (b) -155 (c) 0.4 (d) 1/7 (e) 21/4 d Which is the second biggest value? (a) 3/5 (b) -22/903 (c) -3 (d) 6 a What is the third biggest value in 1/2, 86891, 193? 1/2 What is the biggest value in -5, 24924, 5, -37? 24924 What is the fifth smallest value in -0.034, 45/2, -0.2, -3.9, 0.154? 45/2 What is the fourth biggest value in 1/8, 503, -4, -2, -13/5, -1/5, -3/10? -3/10 Which is the fourth smallest value? (a) 1 (b) -5 (c) 8.524176 (d) -1/3 c What is the biggest value in 1, -1/3, 192276, 0.309? 192276 What is the third smallest value in 127216/9, 0.4, 4? 127216/9 What is the biggest value in -0.2, -0.7, -1/3, 1042, 2/9, 0.5? 1042 Which is the second biggest value? (a) -52 (b) -73 (c) 0.4 (d) 3 (e) 4 (f) 6 e Which is the biggest value? (a) 3/475 (b) -1/3 (c) -9 (d) 0.06 (e) 3/2 e What is the smallest value in 136/7, -2.5, 13? -2.5 Which is the fourth biggest value? (a) 1/12 (b) -163 (c) -1 (d) -2/7 (e) -8.66 (f) 0.5 c Which is the second biggest value? (a) 1948 (b) -1/12 (c) -5 (d) 2/3 (e) -1.5 d What is the fourth biggest value in -1/165, -0.15, 0.18, -0.3? -0.3 What is the third biggest value in 1/26, 10, -0.3, 11, -4, -0.1? 1/26 What is the second smallest value in -14, 76726, 1/3, -1? -1 What is the fourth smallest value in -129, -0.16, 5, -52, 4? 4 Which is the third smallest value? (a) -4984 (b) 1.7 (c) 64/13 c Which is the biggest value? (a) 73.952 (b) -4 (c) 4 a Which is the third biggest value? (a) 0.3 (b) 4 (c) -12 (d) -3 (e) 5/3 (f) -2450 (g) -11 a What is the second biggest value in -15, 0.2, 10/7, -12, 1/10, -1/18? 0.2 What is the second smallest value in 0.3, 2/9, -165, 3/7, 5, 0, -6096? -165 What is the fifth smallest value in 4, 2/9, 0.3, -4/9, 2/15, 37, -262? 0.3 Which is the fourth smallest value? (a) -0.293 (b) 2 (c) -9 (d) 276 d What is the smallest value in 0.014, 3, -300.1, -251? -300.1 Which is the seventh biggest value? (a) 0 (b) 0.1 (c) -5 (d) 188 (e) 132 (f) 5/6 (g) -2/35 c What is the fourth smallest value in 7, -0.01, -3/4, -5, 1/5, 13/5, -0.1? -0.01 Which is the second biggest value? (a) 0.2 (b) -10.2 (c) -0.36424 (d) 0.4 a What is the third biggest value in 42, -0.4, -2/15, -1/3, -0.51, -2? -1/3 Which is the biggest value? (a) 1/6 (b) 2 (c) 0.2 (d) 7 (e) -24 (f) 1 (g) 7/319 d What is the fourth smallest value in 5, 2.1, 2/47, 6873, -0.3? 5 Which is the fourth biggest value? (a) 2/3 (b) -3.6 (c) 712 (d) -4 d What is the biggest value in -4/7, -2/5, 0.3, 0.04, 31, 1, -2/139? 31 What is the third biggest value in -1/5, -0.6, -75244/7, -2, 3? -0.6 Which is the third biggest value? (a) -1 (b) 15604/9 (c) -0.3 (d) 2 (e) -0.5 c Which is the second smallest value? (a) 1/4 (b) -0.06 (c) 5 (d) -5 (e) 77 (f) -2/5 (g) 0.5 f Which is the third biggest value? (a) 23 (b) 0.6 (c) -195 (d) 1/6 d Which is the fourth biggest value? (a) 13 (b) -6/647 (c) -2/11 (d) -1354 d Which is the biggest value? (a) 1 (b) -29/88 (c) 3.98 (d) -2 c What is the smallest value in -664.8, 1/2, 4? -664.8 What is the fourth smallest value in 3, -0.04, -0.4, 3.2, 1/4, 371, 0.4? 0.4 Which is the second biggest value? (a) 161 (b) 0.3 (c) -33740 (d) 2/15 b What is the smallest value in 558, -3, -5, 0.6, 2/3, -0.2? -5 Which is the fourth biggest value? (a) -2/9 (b) 3 (c) 1/9 (d) 1/688 (e) 2 (f) 4/29 (g) -5 c What is the second biggest value in 0.03, 3, -2/259, -4, 19, -2? 3 What is the biggest value in -0.09, -1/204619, 56, 0? 56 What is the sixth smallest value in 4, 1, 0.5565, -28, -4, -10, -0.1? 1 What is the third biggest value in 4, 8, -0.1, -2144, -5, -0.5? -0.1 Which is the second smallest value? (a) 28 (b) 4 (c) 49 (d) -5 (e) -0.3 (f) 2.7 e What is the second biggest value in 5, 9, -95, -1/5, -35/2, 1, -3? 5 Which is the fourth smallest value? (a) 24.6 (b) 7 (c) 4/3 (d) 0.1 (e) 6.92 b What is the third smallest value in -2/13, 0.5, -1544.1? 0.5 What is the third smallest value in -2, -7, -0.99, -471/8? -2 What is the biggest value in 1, -542/3, -2, 2/21, -43? 1 Which is the third biggest value? (a) 12 (b) 113 (c) -9/98 (d) -2 c Which is the second biggest value? (a) -10.8 (b) -5/6 (c) 2 (d) -1040 b Which is the biggest value? (a) 17 (b) -8387 (c) -0.5 (d) -19 (e) -28 a What is the fourth biggest value in 5, -5, -2/13, 1/3, 8? -2/13 What is the sixth biggest value in -63/103, 2/5, -5, 0, -2, -5/4? -5 What is the sixth biggest value in -5, 106, 1, 5, 194, -0.03? -5 Which is the fifth smallest value? (a) 2/17 (b) -1/7 (c) -2 (d) -5 (e) -68/9 (f) -0.06 (g) -0.1 g What is the sixth biggest value in -3, -3/5, 6027, 0.5, 0.1, 2/13? -3 What is the biggest value in 0.18, -0.01, 0.4, 4/39, 2, 4/11, -0.1? 2 Which is the fifth biggest value? (a) 0.4 (b) -1254 (c) 0.2 (d) 1856 (e) 5 b What is the smallest value in 0.109, 13, 14, 21/8, 0? 0 What is the fourth biggest value in 1/20, 3, -700, -1/10, -1? -1 What is the third smallest value in 0.5, -0.01, -4, -6/7, -39762? -6/7 Which is the sixth biggest value? (a) -4 (b) 15/8 (c) -0.3 (d) -9.6 (e) -2/5 (f) 11 (g) -2 a What is the third smallest value in 1.9, -3, 107, -0.4, -5, -2/3, 0? -2/3 Which is the smallest value? (a) 75 (b) 5 (c) 2/11 (d) 0.3 (e) -67 (f) -2/17 e Which is the seventh biggest value? (a) -1928/5 (b) 1/2 (c) -0.2 (d) 3 (e) -2 (f) 31 (g) -3/5 a What is the biggest value in -4, 544719, 1/3, -0.3? 544719 Which is the fourth smallest value? (a) 4 (b) 4/7 (c) 255 (d) -6 (e) 3 (f) -30/7 e What is the fifth biggest value in 16, 2, -5/18, -2/7, 1? -2/7 What is the second smallest value in 4549, 1/280, -16? 1/280 Which is the fourth smallest value? (a) -8 (b) -32 (c) -1/8 (d) 0.21 (e) -3/8 c Which is the second smallest value? (a) -25 (b) -3 (c) -39/518 b Which is the fifth biggest value? (a) -0.013 (b) 13 (c) 2/19 (d) -1/3 (e) 2 d What is the third smallest value in -14, 35/6, 17/2, -2? 35/6 What is the second biggest value in 5, 2/3, 5.14, 2/29, 3571? 5.14 Which is the fourth smallest value? (a) 0.2 (b) 4.4 (c) -0.051 (d) -195 (e) -2 a What is the fifth biggest value in -1, 0.15, -49, -2, -4, 0, -0.5? -2 Which is the sixth biggest value? (a) 36 (b) -1/12 (c) -1.3 (d) -64 (e) 2 (f) -1/10 d What is the third smallest value in 59.5, -314761, -5? 59.5 Which is the third smallest value? (a) 40 (b) -5 (c) -0.2 (d) -1.1 (e) -1/22 (f) 0.4 c Which is the third smallest value? (a) -1/16 (b) -63/197 (c) 2/3 c Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 91/177 (d) -3/67 (e) -2 c Which is the third biggest value? (a) 13 (b) 2/3 (c) -8.5 (d) -167/25 d Which is the fourth smallest value? (a) -6/11 (b) 10925 (c) -4.77 (d) 0.1 b What is the fourth biggest value in 2/239, 0.1, -25, 0.04, -3/2? -3/2 Which is the third smallest value? (a) 2270 (b) -0.08 (c) 68 (d) 1/8 (e) 2/7 e Which is the biggest value? (a) 2/7 (b) -288 (c) -1/7 (d) -0.3 (e) 0.3 (f) 1 (g) 5 g Which is the smallest value? (a) -170/27 (b) 23 (c) 2/3451 a What is the fourth biggest value in -1300, 0.2, 0.4, -30, -0.3, 213? -0.3 What is the third smallest value in -3/7, 0.1, 92, 2, -0.3? 0.1 What is the fourth smallest value in -2/7, -0.16, 4, 1, -7314? 1 Which is the fifth biggest value? (a) 6/11 (b) -1/2 (c) 34/29 (d) 0.3 (e) -5/2 (f) -4 e Which is the third biggest value? (a) 367 (b) 69 (c) 1/5 (d) -4.6 (e) -4 c What is the sixth smallest value in -1/2, -27, 4, -3/7, -0.1, -1/6, 74? 4 Which is the biggest value? (a) 2413 (b) -4 (c) -5442 (d) -2/13 a What is the second smallest value in 2/4109, 5, 2, 1/7, -3, -0.2? -0.2 What is the third biggest value in 4/81, -39, -0.3, 0.4, -0.4? -0.3 What is the fifth biggest value in -3.082, -7/13, -1, 0.3, 3? -3.082 What is the third biggest value in 0.14, -116, 356? -116 Which is the third smallest value? (a) 3 (b) 0.4 (c) -2/5 (d) 2/9 (e) 299 (f) 0
{ "pile_set_name": "DM Mathematics" }
- 3*d + v*d**4 + 3*d wrt d? 456*d Let l(r) = -1522*r**3 + 21*r**2 + 69*r - 311. Let y(o) = 2*o**2 + 7*o - 1. Let t(z) = -l(z) + 10*y(z). What is the third derivative of t(b) wrt b? 9132 Let q(g) = -6*g**2 - 5. Let a(f) = -1358*f**2 - 1704. Let i(h) = 3*a(h) + 21*q(h). What is the derivative of i(b) wrt b? -8400*b Let l(m) be the first derivative of 0*m + 225/2*m**2 - 223 + 197/3*m**3. Find the second derivative of l(d) wrt d. 394 Suppose 25 = -4*t + 145. Suppose 0 = -5*j - 5*s + t, 0*j - s = 5*j - 18. What is the first derivative of -l**j + 4 + 4 + 16*l**3 - 9*l**3 wrt l? 18*l**2 What is the third derivative of -33*x**2 - 54*x**2 - 3231*x**3 + 90*x**2 + 938*x - 291*x wrt x? -19386 Suppose 0*i = i - 39. What is the third derivative of -i*l**5 + 8*l + 3*l**2 - 3*l**3 + 73*l**5 - 33*l**5 wrt l? 60*l**2 - 18 Let j(u) be the second derivative of -1957*u**6/30 - 491*u**4/6 + 2607*u. What is the third derivative of j(p) wrt p? -46968*p Suppose -2*d = -3*u - 0*d - 129, -215 = 5*u + d. Let k = 58 + u. What is the derivative of -9 - 4*m**4 - k*m**4 + 30*m**4 wrt m? 44*m**3 Let a(y) be the first derivative of -369*y**3 + 1090*y + 1273. Differentiate a(k) wrt k. -2214*k Let c be (6/(-24)*30)/(2/(-4)). Let w = c - -2. What is the second derivative of 15*f - w*f - 8*f + 41*f**4 wrt f? 492*f**2 Let q(d) be the second derivative of -13171*d**4/12 + 5429*d**2/2 + 19*d + 139. Find the first derivative of q(i) wrt i. -26342*i Find the third derivative of 36 + 12*g + 3*g**2 - 6274*g**3 - 118 - 4*g**2 + 2*g - g**2 wrt g. -37644 Suppose 0 = -36*m + 44*m - 400. What is the third derivative of -11*n**2 + n + 81*n**5 + 100*n**2 + m*n**5 wrt n? 7860*n**2 Let q(r) = r**3 + 8*r**2 + 9*r - 3. Let c = -33 + 27. Let o be q(c). Find the second derivative of -f**3 + 9*f**3 + 21*f - o*f wrt f. 48*f Let c = 477 + -285. Find the third derivative of 9*y**2 - 70*y**3 + 12*y**2 + c*y**3 + 87*y**3 wrt y. 1254 Suppose -t = 4*k - 66, -2*t + 2*k + 21 + 111 = 0. Differentiate 11*v + t - 11*v - 2*v**4 - 133 + 63*v**2 + 91 with respect to v. -8*v**3 + 126*v Suppose -5*k + 24 = -w + 4*w, 4*w - 12 = 0. What is the third derivative of 11*j**2 + 226*j**k - 7*j**2 + 19*j**2 + 12*j**2 wrt j? 1356 Let t(v) be the first derivative of -31*v**8/28 - 113*v**4/12 + 9*v + 134. Let r(x) be the first derivative of t(x). Find the third derivative of r(p) wrt p. -7440*p**3 Let w(d) be the first derivative of 203*d**3/3 - d**2/2 + 26*d + 1865. Find the second derivative of w(q) wrt q. 406 Let t(y) be the third derivative of 727*y**4/24 + 991*y**3/3 - 44*y**2 - 2*y. Differentiate t(q) with respect to q. 727 Let j(a) be the first derivative of -2*a**2 + 0*a**5 + 0*a**3 + 14 + 0*a + 10/3*a**6 - 3/4*a**4. Find the second derivative of j(b) wrt b. 400*b**3 - 18*b Let c(i) = 8899*i**2 - 2685*i - 3. Let o(s) = 17805*s**2 - 5364*s - 5. Let m(a) = -5*c(a) + 3*o(a). What is the second derivative of m(w) wrt w? 17840 Let j be ((-8)/(-2))/((-5)/(-10)). Suppose j = 2*f + 6. What is the first derivative of 0 - 16*b**4 - f + 5 wrt b? -64*b**3 Let g(d) be the first derivative of 533*d**6/3 - 121*d**3 - 2*d - 1634. What is the third derivative of g(q) wrt q? 63960*q**2 Let t(r) = -74*r + 6. Let w be t(-1). Let z = w - 76. Find the second derivative of -3*l**4 - l**4 + 2*l**4 + 3*l**z - 30*l wrt l. 12*l**2 Suppose 0 = -5*m + 4*v + 2, -2*v - 2 = 5*m - 8*m. Differentiate 25 + 9 + 14*d + 48*d + m*d with respect to d. 64 What is the third derivative of 10*m + 1911*m**5 + 18*m + 216*m**2 + 8 + 7 - 9758*m**5 - 215*m**2 wrt m? -470820*m**2 Let c(f) = 10*f**4 - 4*f**3 - 2*f - 294. Let d(o) = -o**4 + o**3 - 1. Let m = 337 + -341. Let n(i) = m*d(i) - c(i). What is the first derivative of n(r) wrt r? -24*r**3 + 2 Let v(s) be the third derivative of 9821*s**6/120 + 2053*s**4/12 - s**2 - 1597*s + 3. Find the second derivative of v(t) wrt t. 58926*t Let s(u) = -15*u - 161. Let w be s(-11). Find the third derivative of 0*q**5 - 3*q + 45*q**2 + 22*q**5 + 14*q**2 + w*q**5 - 20*q**2 wrt q. 1560*q**2 Let c(i) = 11*i**3. Let y be c(1). Let x be (1/12 + 12/48)*51. Find the second derivative of -11 + 12*b + y*b**2 + 28 - x wrt b. 22 Let r = -70 - -112. Let c = r - 39. What is the derivative of -8 + z**3 + 18 - 2*z**c + 14 wrt z? -3*z**2 Let n(y) = 28*y**2 - 5*y + 4. Let a be n(1). Find the first derivative of 3118*g - 64 + a*g**4 - 3118*g wrt g. 108*g**3 Let s(r) be the second derivative of -16*r**5 + r**4/3 - 1991*r**2/2 + 221*r. Differentiate s(h) with respect to h. -960*h**2 + 8*h Let m = -100 + 127. Differentiate -40 - 7*g**2 - 4*g**2 - 12*g**2 + m*g**2 with respect to g. 8*g Let w(d) = -25 - 17*d**2 + 8*d**2 + 15*d**2. Let x(n) be the first derivative of n - 1. Let s(u) = w(u) - 4*x(u). Differentiate s(p) with respect to p. 12*p Let f(d) be the second derivative of 2017*d**6/5 + 9*d**4/2 + d**3/6 - d**2 - 5*d + 47. What is the third derivative of f(o) wrt o? 290448*o Let d(r) be the second derivative of -87*r**6/10 + 16*r**4 + r**3/6 - 1414*r. Find the third derivative of d(x) wrt x. -6264*x Let z(x) be the second derivative of -2555*x**4/12 - 556*x**3/3 + 6*x + 3. What is the second derivative of z(n) wrt n? -5110 Let q be ((-117)/(-2))/(-3)*644/(-138). Find the third derivative of -q*y**6 - 143 + 15*y - 7*y + 143 - 7*y**2 wrt y. -10920*y**3 Let v(k) be the first derivative of -k**7/210 + 19*k**3/6 + k**2/2 + 2*k + 13. Let q(l) be the second derivative of v(l). Differentiate q(x) with respect to x. -4*x**3 What is the second derivative of -1341959*y**5 + 2692647*y**5 + 996*y - 1345158*y**5 wrt y? 110600*y**3 Suppose -407 = -2*z - 189. Differentiate 198*p**2 - z*p**2 - 153*p**2 - 86 with respect to p. -128*p Let z(j) = 653*j - 398. Let f(r) = -3264*r + 1975. Let s(d) = -4*f(d) - 22*z(d). Differentiate s(y) with respect to y. -1310 Suppose 2*c - 6 = 2. What is the derivative of -63*z**c + 51 + 128*z**4 + 1 wrt z? 260*z**3 Let n(p) be the first derivative of 11*p**3/3 - 3*p**2 + 1090*p - 1419. What is the derivative of n(g) wrt g? 22*g - 6 Suppose -2*a = o - 0*o - 15, -2*o + 5 = -a. Find the second derivative of 4*w - 7*w**2 + 12 - 7*w + o*w - 20*w**2 wrt w. -54 What is the first derivative of 6*r**2 - 120*r**4 + 2*r + 39*r**4 + 572 - 31*r**4 wrt r? -448*r**3 + 12*r + 2 Let t(j) be the first derivative of -4*j**6/3 + 381*j**5/5 + j**2 - 68*j - 3060. Find the second derivative of t(u) wrt u. -160*u**3 + 4572*u**2 Let r(p) be the second derivative of 22*p - 1/3*p**3 + 0 + 11/12*p**4 + 25/2*p**2. Let g(k) be the first derivative of r(k). Differentiate g(f) wrt f. 22 Suppose -2*o + 250 = -4*g, 7*o = 8*o - 5*g - 131. What is the derivative of 3*s - 124 + o + 3*s - 4*s**3 wrt s? -12*s**2 + 6 What is the third derivative of 4*d**2 + 121*d**2 - 53*d**2 - 151*d**2 - 160*d**2 + 2346*d**4 wrt d? 56304*d Suppose -5*u - 20 = 0, 21*u - 24 = -4*i + 24*u. What is the third derivative of -k**4 + 6*k**i + 59*k**2 - 322*k**2 - 5*k**3 + 5*k**3 wrt k? -24*k + 36 Let u be 28/6 + 12/18*-1. Suppose 2*a + 4*f - 24 = 0, 4*f - 26 - 34 = -u*a. Find the second derivative of 13*p**2 - 43*p**2 - a*p**2 + 15*p - 8*p wrt p. -96 Let z(j) be the second derivative of 0*j**4 + 25 + 163/20*j**5 + 0*j**3 - 15/2*j**2 - j. Differentiate z(y) wrt y. 489*y**2 Suppose -2*d + 5 + 43 = 0. Let g = -486 + 490. Find the third derivative of 18*b**g + 27*b**2 - 11*b**5 + 6*b**4 - d*b**4 wrt b. -660*b**2 Let z(a) = a**3 + a**2 + 4*a - 1. Let y(o) = 6366*o**3 - 50*o**2 - 8*o + 17. Let s(h) = -y(h) - 2*z(h). Find the third derivative of s(n) wrt n. -38208 Let m(u) be the second derivative of -1 - 1/12*u**4 - 83*u + 33*u**2 - 11/6*u**3. Differentiate m(l) wrt l. -2*l - 11 Let w(s) be the first derivative of 324*s**6 - 2*s**5/5 + 2*s**3/3 + s**2/2 - 337*s + 1782. What is the third derivative of w(d) wrt d? 116640*d**2 - 48*d Let o(y) = 601*y**4 + 10*y**3 - 59*y**2 + 7895. Let d(b) = -301*b**4 - 4*b**3 + 23*b**2 - 3948. Let a(q) = 5*d(q) + 2*o(q). Differentiate a(n) wrt n. -1212*n**3 - 6*n Let l = 10697 - 10697. Let f(b) be the first derivative of 4*b - 23 + l*b**3 + 3/2*b**4 + 0*b**2. What is the derivative of f(s) wrt s? 18*s**2 Let l(j) = -j**3 - 3*j**2 + 2*j + 4. Let k be l(-4). Suppose -n - k = -5*n. Differentiate -7*a + 7*a + 9*a**n + 6 - a**3 wrt a. 24*a**2 Let x(y) = -472*y**3 + 15*y**
{ "pile_set_name": "DM Mathematics" }
+ (-2 - k) and 2. 2 Let b(y) = y**3 + 4*y**2 + y - 2. Let d be b(-4). Calculate the common denominator of 8/d*232/(-48) and 20. 9 Let w = 54017/52 + -1039. Let n = -334/65 + w. What is the common denominator of n and 51/4? 20 Suppose 4*p + 5*k - 154 = -37, 4*k = -2*p + 54. Calculate the lowest common multiple of p and 9. 99 Let p = 187617 + -39775481/212. Let f = 3/53 - p. Find the common denominator of f and 11/7. 28 Suppose 0 = 5*h - 17 - 8. Calculate the smallest common multiple of h and 10. 10 Let j = 442 + -1628. Let i = 9461/8 + j. What is the common denominator of 39/4 and i? 8 Let s be (2/(-4))/(2/(-8)). Suppose -c + 35 = 4*c. Calculate the lowest common multiple of (s + -1)*(8 + -1) and c. 7 Let a be 1/4*2 - 6/(-4). Suppose 0*p + 16 = -2*p. Find the common denominator of a/p - 135/24 and -27/22. 88 Let p = 1 + 0. What is the lowest common multiple of (-48)/(-21) - 2/7 and p? 2 Suppose 3*d - 5601 + 17142 = 0. Let s = -34570/9 - d. Find the common denominator of -59/6 and s. 18 Let b = 6 - 6. Suppose -3*t - 29 + 11 = b. Calculate the smallest common multiple of 9 and t/(-4)*(4 - -2). 9 Let o = -10 - -12. Suppose -3*y - h - 21 + 50 = 0, o = -2*h. What is the least common multiple of 4 and y? 20 Let o = -25/32 - -1499/96. Let m = -3304/3 - -9977/9. What is the common denominator of o and m? 18 Let u(z) = -z**2. Let n be u(0). Suppose 3*d + 0 - 15 = n. Suppose 2*q - 4*b = -3*q + 36, -d*b = -q + 3. Calculate the smallest common multiple of 12 and q. 24 Let x = -4/13223 - 1044481/449582. Calculate the common denominator of x and 71/6. 102 Let o = 8 + -14. Let r be 8/(-12) - 22/o. What is the common denominator of 73/2 and (-158)/(-12)*(-1)/r? 18 Suppose 80 = -2*x + 6*x. Let k(d) = -d**3 + 18*d**2 + 2*d - 14. What is the lowest common multiple of k(18) and x? 220 Suppose -m = 2, 3*a - 28 = a + 5*m. What is the smallest common multiple of 0/1 - 0 - -6 and a? 18 Let f(r) = -r**3 - 5*r**2 + 12*r - 8. Calculate the lowest common multiple of 7 and f(-7). 42 Let v(y) = y**3 - 10*y**2 - 10*y - 7. What is the smallest common multiple of 4 and v(11)? 4 Suppose -4 = 4*g, 3*z + 1 = -g + 12. What is the smallest common multiple of z and 10? 20 What is the common denominator of -97/10 and 4 - (-1)/(-22)*166? 110 Suppose -5*s = -10*s + 35. Let j(y) = y**3 + 5*y**2 + 7*y + 4. Let t be j(-4). Calculate the least common multiple of (t/10)/(4/(-10)) and s. 14 Let t(l) = l**3 + 6*l**2 + 2*l + 6. What is the common denominator of t(-5) and 2/((-116)/(-30) - 2)? 14 Let o = 6 - 4. Suppose -3*f = 4*g - 5, 3*g - o*f - 27 + 2 = 0. What is the smallest common multiple of 3 and g? 15 Let p(b) = b + 4. Let u be p(-4). Suppose u = -0*n + n - 5. Calculate the smallest common multiple of 10 and n. 10 What is the common denominator of (2/16)/((-13)/(-194)) and 6 + -12 - 2/(-40)*11? 260 What is the least common multiple of -3 + (-39)/(-12) + 78/8 and 6? 30 Let p = -5002 - -69987/14. What is the common denominator of p and (-112)/(-12) - (-1)/(4/(-3))? 84 Let q(k) = -9*k - 33. What is the lowest common multiple of q(-6) and 27? 189 Suppose -5*m + 46 = -5*h - 4*m, m = -3*h - 34. Let c = 7 + h. Find the common denominator of -19/4 and (c - (-177)/10) + -3. 20 Let g = -211323/16 - -13203. Let h = -99677/4380 - -8/1095. Calculate the common denominator of h and g. 16 Let r(x) = -3*x**2 - x - 2. Let z be r(-1). Let j = z + 16. What is the least common multiple of j and 2? 12 Let c = 11 + -8. Find the common denominator of c*(-85)/(-54) + 3 and -87/14. 126 Let f = -30299102/28245 + 41/4035. Let p = f + 1066. Calculate the common denominator of 3/(-10*(-9)/(-264)) and p. 35 Calculate the common denominator of -39/11 and ((-6)/4)/(180/(-852)). 110 Let q(w) = 10 - 3 + 5 - 9*w + w**2 - 1. What is the least common multiple of 2 and q(9)? 22 What is the lowest common multiple of 21 and (1 - -14) + (-3 - 0) + -3? 63 Let w be (-6)/(-2)*(-20)/15. Let u be 1570935/40*w/18. Let f = 8734 + u. Calculate the common denominator of -79/18 and f. 36 Suppose -15 = 2*y - 5*y. Suppose 0 = -p + s + 7, -3*p = -s - 12 - 1. Suppose -p*w - 3 + 0 = f, 2*f - 2 = -4*w. What is the smallest common multiple of f and y? 45 Suppose 0*h - 2*h - 2 = 0. Calculate the common denominator of (-14)/3*(-38)/(-24) and h*1 + (-142)/(-36). 18 Suppose -27 = -t - 9. Suppose -5*r + 211 = 61. Suppose -u - 2*u = -r. Calculate the least common multiple of t and u. 90 What is the common denominator of 239/10 - 8/20 and -55/4? 4 Let z = 22 + -12. Suppose 0 = -4*j + z - 2. Calculate the least common multiple of 2 and (4 + 20)*j/3. 16 Suppose 2 = 4*m - 3*m. Let b be ((-1)/m)/((-3)/24). What is the common denominator of ((-14)/b)/((-10)/(-16)) and 3? 5 Let s(n) = -7*n**2 + 16*n + 3. Let a(l) = 3*l**2 - 8*l - 2. Let y(h) = 9*a(h) + 4*s(h). Calculate the least common multiple of y(-7) and 1. 1 Let a = -343822505/97626 + 2/48813. Let l = -3513 - a. Let i = 481 - 1429/3. Find the common denominator of l and i. 6 Let g be (-1 - 12/(-8))*-4. What is the common denominator of 396/(-4)*(-1)/g and 79/46? 46 Let b = 6349/20 + -1297/4. Find the common denominator of 0 + 88/30 - 2/(-3) and b. 5 Let x = 1/2602 - -89765/10408. What is the common denominator of x and -47/16? 16 Let r = -15/59 - -3839/944. What is the common denominator of r and -93/16? 16 Let z = 174905/12 + -14586. What is the common denominator of z and (-6)/9 + (-241)/(-42)? 84 What is the lowest common multiple of ((-4)/(-1))/(36/27) and 10? 30 Suppose -10*i = 65 - 265. What is the least common multiple of 56 and i? 280 Let s = -207 - 357. Let f = -6195/11 - s. What is the common denominator of f and 54/7? 77 Suppose 3*x = -3*x - 300. Calculate the common denominator of x and 29/6. 6 Suppose -45 = -t - 31. What is the least common multiple of t and 24? 168 Let f be (-40)/(-3) + (-12)/(-18). Let b = f - -4. Suppose -n = -8 - 10. Calculate the lowest common multiple of n and b. 18 Suppose 3*f = 5*f - 16. What is the least common multiple of 4 + (-5)/5 + 3 and f? 24 Find the common denominator of (-9)/12 - 1432/160 and 18/5. 10 Let h be 75/2 - (-2)/1. Let o = h - 36. Calculate the common denominator of o and -47/8. 8 Let t = -1292 - -10383/8. What is the common denominator of t and (16/(-20))/((-22)/(-20))? 88 Let f(i) = -i**2 + 6*i - 4. Let x be f(5). What is the lowest common multiple of 10 and x - (3/(-1) - -2)? 10 Let v = 33 + 23. What is the least common multiple of v and 22? 616 Let l be (-4)/(-18) + 4786/90. Let a = l - 2281/40. Find the common denominator of a and -46/5. 40 Suppose -2*z + 3 = z. Suppose 4*o - 2*o + 4*s + 4 = 0, 0 = o + 5*s + 8. What is the lowest common multiple of (-1)/(z/(-3 - o)) and 9? 45 Suppose 4*z + 2*p + 18 = -3*p, -5*z = 3*p + 29. Let i = z - -11. Calculate the common denominator of -1/4 and ((-312)/63)/(i/6). 28 Suppose -5*m + 66 = -44. Calculate the smallest common multiple of m and 6. 66 Let k(x) = x**2 + 5*x + 3. Let i be k(-5). Suppose -2*s = -3*c + 126, i*c + 176 = -3*s + c. Let y = s + 497/8. What is the common denominator of -46/3 and y? 24 Suppose 21*j - 16*j = 30. Calculate the least common multiple of 12 and j. 12 Let u = 24 - 0. Suppose -5*q = -k + 6, 0*k + 4*k = -4*q - u. What is the lowest common multiple of 8 and 15 - 1/q*-2? 56 Let n(q) = -q**2 + 6*q + 6. Let o be n(10). Let f = o + 48. What is the lowest common multiple of 2 and f? 14 Let k = 80245/60732 + 2/15183. What is the common denominator of k and -127/6? 84 Let b = 65693/12 - 5478. Let j be (-169564)/14 - 4/14. Let m = -266523/22 - j. What is the common denominator of m and b? 132 Let b(d) be the first derivative of d**2 - d - 3. What is the lowest common multiple of b(5) and 3? 9 Let j = -4243 - -46726/11. What is the common denominator of j and -49/6? 66 Let i(d) = -34*d + 1. Let l be i(1). Let j = l - -19. What is the common denominator of 71/14 and (j/16)/(11/36)? 154 Let d = 29/417 + 45649/9174. What is the common denominator of d and -119/20? 220 Suppose -t + 4*t = 0. Let w = 3 + t. Calculate the smallest common multiple of (1 - (-8 - -2))/1 and w. 21 Let c be (-3)/3 - 34358/(-20). Let m = c + -1722. Calculate the common denominator of m and 97/4. 20 Let b = 3881/369 - 85/41. What is the common denominator of 1/6 + 77/66 and b? 9 Suppose 0 = -0*p - p - w + 5, 2*w
{ "pile_set_name": "DM Mathematics" }
430. Let g be j(9). Let w = -2/39 - 8/13. What is the nearest to m in g, w, 1? w Suppose -5*k + w + 2 = 0, -6 = w - 3*w. Let s = 2.17 + -7.17. Which is the closest to k? (a) s (b) -0.5 (c) -1 b Let p = -65 + 64.942. Let l = -0.042 + p. What is the nearest to 1 in 3, 1, l? 1 Let y be (-14)/49 + 3/21. Suppose -2*f + 4*l = -18, -2*f + 14 = -l + 2. Let h = 0.07 + -5.07. What is the closest to h in 2/7, f, y? y Let k = -2.5 - -1.5. Let q = -3.5 + 3.5. What is the nearest to 0 in k, q, -3? q Suppose -5*o = h + 124, -4*o - 3*h - 96 = h. Let i be (-12)/(-15) - (-10)/o. What is the closest to 0.1 in i, -0.5, -0.4? i Let a = 11 - 7. Let q be ((-17)/(-5) - 4/10) + -6. Let k = 8 - 9. What is the closest to k in a, -4, q? q Let r(g) = g**2 - 7*g - 12. Let w = 1 - -8. Let f be r(w). Suppose 4*t + 14 = t + 5*m, -f = 3*m. What is the nearest to -0.1 in -4, t, -3/5? -3/5 Let s = 136 - 1359/10. Let q = -9 + 9. What is the nearest to 1 in q, s, -0.09? s Let f be (-1 - 19/(-21))*(-15 + 18). Let g = -0.05 - 2.95. Let y = 3.1 + g. What is the nearest to y in f, 0, 2? 0 Let k = 2 - -1. Let x be ((-1)/(-8))/(459/3060). What is the nearest to 4 in k, x, -1/6? k Let h = -43 - -17. Let p = h - -26. Which is the closest to p? (a) -0.05 (b) -4 (c) -2/13 a Let c be ((-3)/129)/(36/(-72)). What is the nearest to -1 in c, -4/3, -0.2? -4/3 Let v = 0 + 1. Let m = v - 1.1. Let t = 172.2 - 176.2. What is the closest to -6 in 2, t, m? t Let q be (-2)/3 - (-4)/(-3). Let f be (6/(-4) + 3)/(18/(-216)*45). What is the closest to 2/3 in 16, q, f? f Let i(h) = h**2 - 6*h - 7. Let k be i(7). Which is the nearest to 2/5? (a) -3 (b) k (c) 21 (d) 2 b Let l(p) = 19*p**2 + 6*p + 12. Let z be l(-2). Suppose 2*s + z = 68. Let d = -0.1 - 0.3. What is the nearest to 1 in d, 4, s? d Suppose -14*p - 26 - 2 = 0. Let g be (-4)/6 + 7/6. What is the closest to -0.1 in p, -4, g? g Let n = -859 - -858. Let r = -0.3 + 0.4. Which is the closest to n? (a) 1 (b) r (c) 1/7 b Let l be (38/(-6))/(5/(-60)). Let d = l + -75. Which is the nearest to -4? (a) d (b) 0.5 (c) -2/5 c Let r = 0.025 - 1.025. Let g = 2/96999 + -1926151/1357986. Let h = g - 4/49. What is the closest to -1 in r, h, -4? r Let m(r) = r**3 + 48*r**2 - 5*r - 240. Let o be m(-48). Which is the nearest to 0.1? (a) 2/9 (b) o (c) 17 b Let f = 12 + -17. Let n = -0.672 + 5.972. Let p = n + f. Which is the nearest to 0.2? (a) p (b) 1/2 (c) -2 a Let c = 0.3 - 0.2. Let n = 0.35 - -34.65. Let h = n + -31. What is the closest to c in h, -2, -2/7? -2/7 Let u = -1/91 + 27/91. Let i = 37.15 + -9.15. Which is the nearest to u? (a) i (b) 5 (c) -1/3 c Let o = 1.8 - 2. Let b be (-123)/(-328)*(-6)/9. What is the nearest to b in o, 2, -2/15? o Let n = -2883 - -2885. Let w = -0.1 - -0.1. Which is the closest to n? (a) 1/9 (b) 3 (c) w b Let q = -3.96 - 0.04. Let i = 928 - 995.1. Let l = 67 + i. Which is the nearest to l? (a) -2/11 (b) q (c) -2 a Let r = -1805/4 + 450. Let p = -7 + 6.7. What is the closest to 2/9 in r, -5, p? p Suppose -4*d + 96 = -4*f, -2*d - 12 = 2*d. Let z = 25 + f. Let l = 1/23 + 19/92. What is the nearest to -1 in 1, l, z? z Let q be ((-5)/(-4))/((-45)/(-9)). Let r = 0.14 + 0.06. Which is the nearest to -2? (a) r (b) -5/4 (c) q b Let s = 0.41 - 0.01. Suppose 2*k = -12 + 4. Let n = -4961 + 4965. Which is the nearest to n? (a) 2/15 (b) k (c) s c Let s = 380 - 382. Which is the nearest to s? (a) 1 (b) 0.2 (c) 4 b Let v = -2 + 2. Let o = v + 0.1. Let m = -0.9 + -0.1. Which is the closest to m? (a) 1/2 (b) -2 (c) o b Let g be (-3*1/(-12))/(15/(-48)). Which is the closest to 1? (a) 9 (b) g (c) 0.5 (d) 2/17 c Let v = 2.85 + -2.65. Which is the closest to 1/4? (a) 2 (b) v (c) 7 b Let k = 174 + -111. Let y = -59 + k. Which is the nearest to -0.1? (a) 3/2 (b) y (c) -2/5 c Let k = -61 + 61. Let h be (4*(-1)/33)/((-4)/6). Let q be -2 + -1 + (1 - -1). Which is the closest to k? (a) q (b) h (c) -5 b Let s = 240.2 + -240. What is the nearest to -1/4 in 0.49, s, 0? 0 Let g(v) = -v**3 + 18*v**2 - 19*v + 30. Let w be g(17). Which is the nearest to -0.1? (a) -0.17 (b) w (c) 0 (d) 4 a Let r = -59.9 + -16.1. Let i = 76 + r. Which is the nearest to 1? (a) i (b) -5 (c) 3 a Let j = -1.8 - 7.2. Let m = 17.8 + -8.5. Let q = j + m. What is the closest to -1 in q, 0.2, 3? 0.2 Let s = -398 - -263. Let j = 135 + s. Let p = 0.2 + 0.8. Which is the nearest to j? (a) p (b) -2/11 (c) -4 b Let j = -4 + 43. Let n = j + -36. What is the closest to -1 in 0.1, 4, n? 0.1 Suppose -26 + 6 = 5*m, -g + 2*m = -78. Let f be 1/(-3 - g/(-15)). What is the nearest to f in 2/3, 0.2, -0.4? 2/3 Let p = 8 + -4. Let r = 26 - 24. Which is the closest to 2/9? (a) r (b) p (c) -0.4 c Let u = 3.96 + 0.04. What is the nearest to -1/2 in 3/8, -4, u, 0? 0 Let h = 0.37 - -0.03. Let z = -6 - -5.6. Let f = -1.4 - z. Which is the nearest to f? (a) -1/3 (b) 4/7 (c) h a Let o = -5.931 - 3.069. Let h = 2 - 4. What is the nearest to o in 0, 0.5, h? h Let v = 0.27 + -0.97. Let z = -8 + 6. Which is the closest to 2/17? (a) v (b) z (c) 1 a Let z = -280 + 280. Suppose 0 = 4*k - 3*k. Let r be 2/13 + 0 + k. Which is the closest to r? (a) z (b) 3 (c) -3 a Let y = 11 + -16. Let z be (45/27 - 2)/(8/(-6)). Let m = -8 + 12. What is the closest to z in m, y, -4? m Let z = 510.9 + -511. Let m(i) = -i**2 - 2*i + 5. Let y be m(-4). What is the closest to 0 in z, y, 1? z Let j(y) = -y**3 - 13*y**2 - y - 1. Let m be j(-13). Which is the closest to -3? (a) 4 (b) -4 (c) m b Let n = -164 - -164. Which is the nearest to -1/8? (a) n (b) 3 (c) -5 (d) -2/19 d Suppose 2*v + 14 = -4*z, -3*v + 2*z = -5 - 14. Let w = 2.41 - 0.41. What is the closest to 0.2 in 0.06, v, w? 0.06 Let f = 3.39 - -1.61. Let x = -0.12 + -0.08. What is the closest to 19 in x, 0.4, f? f Let d = 51.9 + -52.2. Which is the closest to d? (a) 5 (b) -0.3 (c) -5 b Let s(m) = m**3 - 8*m**2 + 8*m - 5. Let i be s(7). Let l be (-18)/(-5) - (i - 2). Let v = l + -7/2. Which is the closest to 2? (a) -2/9 (b) v (c) 2/7 c Suppose 0 = 2*g - g + 4. Let h = 18.2 + -18. What is the closest to h in g, 2/13, -3? 2/13 Let m = -109 + 109. Let k(z) = -z**2 + 4*z - 1. Let n be k(4). Let j be 28/(-12) - (-2 + n). What is the closest to m in -2/5, j, -0.3? -0.3 Let q(v) = v**2 + 11*v - 37. Let t be q(-14). Let h = 2 - 3. Let s = -0.07 - 1.93. Which is the closest to 0? (a) h (b) t (c) s a Let n = 1668/9295 + 2/845. Let y be 35/(-175) - -9*(-1)/(-20). Which is the nearest to y? (a) 4 (b) 8 (c) n c Let h = -804/253 + 34/11. Let s = 33.46 + -0.46. Let f = s - 29. Which is the nearest to 2? (a) f (b) h (c) -4/3 a Let o = -4.54 - -0.04. Let m = o + 5. Let l = -74 - -77. Which is the closest to -4? (a) m (b) l (c) -0.3 c Let d = -1 - -1. Let l = 4.45 - -0.55. Which is the nearest to d? (a) -7 (b) l (c) 2/7 c Suppose 0 = -5*q - 162 + 22. Let j be (-12)/(-8) + 66/q. Which is the closest to -1? (a) j (b) -4/5 (c) 3 a Let p = -5.4 - -5. Let d = -3.419 - -3.419. What is the nearest to d in -2, p, -1/2? p Let q = 0.395 - -0.205. What is the nearest to q in -4, 0.4, -2/5? 0.4 Let u = -148 - -146. Let z be 147/42 - (u + 6/4). Let x = 3 + -5. Which is the nearest to 0? (a) 0.2 (b) x (c) z a Let y be (-6)/(-304) + (-2)/(-19). Which is the closest to -0.06? (a) 2 (b) y (c) 0.05 c Let f be (-3 - -7) + (-4)/2. Suppose 2*j - 16 = -3*d - 0*d, f*d = 4*j. Suppose 2*h - 3*u = 1, 4*h = -3*u + j*u + 9. What is the nearest to 1 in h, 4, -4? h Let b(k) = -3*k**3 - k**2 + 2*k - 7. Let y be b(-3). What is the closest to 2/7 in 0.1, -3/4, y? 0.1 Suppose -51*x + 59*x = 104. Which is the closest to -1/8? (a) 5 (b) 1/2 (c) -2/15 (d) x c Let t be 2*(-5)/8*(-5)/25. Which is the closest to t? (a) -1 (b) -0.2 (c) -0.6 b Let y = 178.38 + -179.38. Let q = -2/647 + -2578/3235. What is the closest to y in -7, q, -2? q Let s = 1 + -0.9. Let g = 1.9 - 1.6. Let d = 93.02 + -93. Which is the nearest to -2/3? (a) s (b) g (c) d c Let f = 2/333 + 8/37. Let o be (3 - -1)/(0 + -1). Which is the nearest to -0.1? (a) 0.2 (b) f (c) o a Let x(f) = 8*f**3 - 4 - 9*f**3 + 13*f - f**2 + 2*f**2 + f**2. Let t be x(5). Let h be t/(-7)*(-1)/9. Which is the closest to -2? (a) -1/5 (b) -1 (c) h b Let k be 12/16 + 1/(-2). Let
{ "pile_set_name": "DM Mathematics" }
297*y**2 - 19*y**2 - 67*y**2 + 73*y**2 - 87*y**2. 509*y**2 Collect the terms in -26037*c + 52078*c + 11 - 26039*c - 3. 2*c + 8 Collect the terms in 19555*x - 203*x - 1736*x + 18074*x. 35690*x Collect the terms in 9*k - 52*k + 73*k + 2*k + 19*k. 51*k Collect the terms in 33329*p - 33356*p + 418048*p**3 - 418047*p**3. p**3 - 27*p Collect the terms in 6*m + 0*m - 86*m**3 - 3*m - 19*m**3. -105*m**3 + 3*m Collect the terms in 0 + 11 - 44 + 3 + 7 + 23 - 2*s. -2*s Collect the terms in 3896*g**2 + 3894*g**2 - 15583*g**2 + 3907*g**2 + 5*g**3 + 3886*g**2. 5*g**3 Collect the terms in -79*f + 1 - 1 + 40*f + 9 + 42*f. 3*f + 9 Collect the terms in 6972110*s - 181 + 29 + 26 + 126 - 6972114*s. -4*s Collect the terms in -37370*o - 16788*o + 54147*o. -11*o Collect the terms in 81608*d**3 + 819732*d**3 - 2026218*d**3 - 2794012*d**3. -3918890*d**3 Collect the terms in -110*z - 35*z**2 - 117*z + 226*z + 3 - 163*z**2. -198*z**2 - z + 3 Collect the terms in 641*u - 6362*u - 3905*u - 1150*u. -10776*u Collect the terms in 134346*j**2 + 134350*j**2 - 2*j - 268689*j**2 - 24 + 2*j - 25. 7*j**2 - 49 Collect the terms in -846*n + 223*n - 851*n + 2320*n - 848*n. -2*n Collect the terms in -2*s**3 - 1040626627 + 0*s**3 + 2081253249 - 1040626622. -2*s**3 Collect the terms in -1805*d**2 + 2703*d**2 - 901*d**2. -3*d**2 Collect the terms in -2 - 1344060*h**3 - 55477*h**3 + 2. -1399537*h**3 Collect the terms in 730*o**3 + 149 + 107 - 256. 730*o**3 Collect the terms in 61293076*b + 4*b**2 - 61293076*b + 436. 4*b**2 + 436 Collect the terms in 48 - 19 - 29 - 8226952*f. -8226952*f Collect the terms in 12801688*i**3 - 6400941*i**3 - 6400952*i**3. -205*i**3 Collect the terms in -202543 + 101430 - 36*v + 101113. -36*v Collect the terms in 7542*o - 34 + 2121*o + 34. 9663*o Collect the terms in 5389*m - 4492*m + 7744*m + 5210*m. 13851*m Collect the terms in 45*h - 159*h + 2767 + 33*h + 39*h + 43*h. h + 2767 Collect the terms in -871*w**3 - 887*w**3 - 20 - 49 + 1761*w**3. 3*w**3 - 69 Collect the terms in -67440*z + 120793*z + 205287*z. 258640*z Collect the terms in -2*j**3 + 6*j + 765*j**2 + 11*j - 18*j + j**2. -2*j**3 + 766*j**2 - j Collect the terms in 4*z - 23*z + 11*z + 8*z + 9976*z**3. 9976*z**3 Collect the terms in -3488994 - 3*x + 3488994. -3*x Collect the terms in -m**2 - 16609 + 31*m**3 + m - 177*m**3 + 7*m + 16609. -146*m**3 - m**2 + 8*m Collect the terms in -2 + 2 - 3600*y**3 - 3637*y**3. -7237*y**3 Collect the terms in 523336*n**3 - 261619*n**3 - 261650*n**3. 67*n**3 Collect the terms in 6*z - 12223*z**2 + 6137*z**2 + 6079*z**2. -7*z**2 + 6*z Collect the terms in -128680*r + 42811*r + 43129*r + 42736*r. -4*r Collect the terms in 1392*l**2 - 1396*l**2 + 1169*l - 2349*l + 1176*l. -4*l**2 - 4*l Collect the terms in 128774*x**2 - 128774*x**2 + 19761*x**3. 19761*x**3 Collect the terms in -1510*z - 874 + 1541*z - 866 - 876 + 2616. 31*z Collect the terms in 47*x - 11*x + 60163*x**3 - 13*x - 23*x. 60163*x**3 Collect the terms in -73*i**2 + 194*i**3 - 740 + 740 + 73*i**2. 194*i**3 Collect the terms in 232 + 3*c - 67 - 14*c**2 + 134 - 2*c. -14*c**2 + c + 299 Collect the terms in 141*h**3 - 732*h**3 + 77*h - 78*h - 406*h**3. -997*h**3 - h Collect the terms in 3027*j - 2 - 1474*j - 1480*j. 73*j - 2 Collect the terms in -w**3 + 13*w**3 + 11*w**3 - 9315*w**2 + 9315*w**2. 23*w**3 Collect the terms in -12032*y - 12031*y + 44272*y - 8152*y - 12055*y. 2*y Collect the terms in 33 - 79 + 22 - 115881*h**2 + 24. -115881*h**2 Collect the terms in -3504 + 319*k**3 - 3499 - 2*k + 7003 + 2*k. 319*k**3 Collect the terms in -2383*y - 28*y - 1027*y - 1604*y + 1582*y. -3460*y Collect the terms in -2356*j**2 + 31*j**3 + 24*j**3 + 0*j**3 - 16*j**3 + 19*j**3. 58*j**3 - 2356*j**2 Collect the terms in -8959 - 12*g**3 + 52*g + 13*g**3 + 8964 + 488*g. g**3 + 540*g + 5 Collect the terms in -4728*a - 5018*a + 9984*a. 238*a Collect the terms in -680*j**3 + 2762*j**3 - 684*j**3 + 32*j**2 - 32*j**2 - 695*j**3 - 685*j**3. 18*j**3 Collect the terms in 136 + 3178*s**2 + 135 + 1600*s**2 - 271. 4778*s**2 Collect the terms in 1123293*n + 7132811*n + 1787306*n. 10043410*n Collect the terms in 933506*u - 311168*u - 311175*u - 1 - 311162*u - 5 + 6. u Collect the terms in 219 - 129*q - 160*q + 288*q - 219. -q Collect the terms in -1231 - 2*b - 3*b + 625 - 136*b**2 + 606 + 2*b. -136*b**2 - 3*b Collect the terms in 1756*h**2 - 115284 + 115284 + 16*h**2 + 626*h**2. 2398*h**2 Collect the terms in -23*z**2 + 506*z - 44*z**2 - 249*z - 257*z + 60*z**2 - 22*z**2. -29*z**2 Collect the terms in 5415444*o + 2 - 2. 5415444*o Collect the terms in -14*m**3 + 74840275*m**2 - 74840275*m**2. -14*m**3 Collect the terms in -354*o**3 + 601602969*o - 601602969*o. -354*o**3 Collect the terms in 6*t**2 + 2305*t + 124 - 260 + 136 - 2305*t. 6*t**2 Collect the terms in -115*x - 2*x - 513*x + 361*x - 494*x - 494*x. -1257*x Collect the terms in -2*z - 7 - 45*z**3 + 68*z**3 - 3. 23*z**3 - 2*z - 10 Collect the terms in 2263727*o + 2263069*o - 4527399*o. -603*o Collect the terms in -58*x**2 + 2*x - 60*x**2 + 192*x**2 - 63*x**2. 11*x**2 + 2*x Collect the terms in 2 - 1 - 46*y - 29251*y**2 + 48*y. -29251*y**2 + 2*y + 1 Collect the terms in 84 + 91 + 87 - 262 - 160049*v. -160049*v Collect the terms in -93*g**2 - 420*g**3 - 418*g**3 + 93*g**2 + 845*g**3. 7*g**3 Collect the terms in 1257*y - 2061*y + 1008*y. 204*y Collect the terms in -192*l**3 + 233*l**3 - 9 + 70*l**3. 111*l**3 - 9 Collect the terms in -13049*c + 39*c**3 - 923 + 13049*c + 930 - 903*c**3. -864*c**3 + 7 Collect the terms in 10963*x - 5488*x + 65 - 33 - 5475*x - 17*x**3 - 33. -17*x**3 - 1 Collect the terms in -2*m + 8*m**3 + 1395 - 21*m**3 - 12*m**2 + 6*m**3 + 8*m**3. m**3 - 12*m**2 - 2*m + 1395 Collect the terms in -7571 + 148 + 424*x - 425*x. -x - 7423 Collect the terms in 2*x**2 + 68*x**2 + 28*x**2 + 33*x**2 + 24*x**2 - 103*x**2. 52*x**2 Collect the terms in -7579*a**2 - 55*a - 2*a**3 + 15122*a**2 - 7543*a**2. -2*a**3 - 55*a Collect the terms in -56*q - 15397*q**2 - 65*q + 121*q. -15397*q**2 Collect the terms in 56782*g**2 - 9*g - 18851*g**2 - 18794*g**2 + 9*g - 18890*g**2. 247*g**2 Collect the terms in 38*b - 44*b + 21*b + 10*b - 24*b. b Collect the terms in 7*u + 3*u + 17*u + 5677 - 29*u + 185. -2*u + 5862 Collect the terms in -25812333*i - 25812327*i - 25812333*i + 77436993*i + 71*i**2. 71*i**2 Collect the terms in -83421021567 + 83421021567 + 4*d. 4*d Collect the terms in -366*t + 77*t + 76*t + 72*t + 78*t + 72*t. 9*t Collect the terms in 259190*o + o**2 + 126*o**3 + 259183*o - 518379*o. 126*o**3 + o**2 - 6*o Collect the terms in -11*l**2 + 7*l**2 - 5*l**2 - 29010 + 58029 - 29019. -9*l**2 Collect the terms in -383*d**3 - 2350 + 2350. -383*d**3 Collect the terms in 67*o - 14*o**3 + 3 - 49*o**2 - 7*o**3 + 4*o**3 - 67*o - 1. -17*o**3 - 49*o**2 + 2 Collect the terms in -26*i**2 + 34*i**3 - 55*i**2 - 351*i**3 + 112*i**2 - 31*i**2. -317*i**3 Collect the terms in -45 - 26 + 215 - 47 - 36 - 44 + 5*l**2. 5*l**2 + 17 Collect the terms in -14*h**2 + 2209*h**3 - 15*h**2 + 3078*h**3 - 1342*h**3 + 27*h**2. 3945*h**3 - 2*h**2 Collect the terms in -49242 - 10*y - 49203 + 98445. -10*y Collect the terms in -2 - 722*h + 2 - 835*h + 1828*h. 271*h Collect the terms in 8488*b**3 - 2777*b**3 + 10755*b**3 - 131*b**3. 16335*b**3 Collect the terms in -32232557*m**3 - 33*m + 32232487*m**3 + 33*m. -70*m**3 Collect the terms in 30258070 - 4*x - 60515739 + 30257669. -4*x Collect the terms in -2516086315*a + 21*a**2 + 2516086315*a. 21*a**2 Collect the terms in 62147*h**2 - 124227*h**2 + 62080*h**2 + 45*h**3. 45*h**3 Collect the terms in 6382*u - 7 - 3190*u - 3194*u - 18. -2*u - 25 Collect the terms in -x**3 + 118*x - 2495*x - x**2 - 12*x**2. -x**3 - 13*x**2 - 2377*x Collect the terms in -42*q + 122*q - 8713 - 33*q + 734 - 50*q. -3*q - 7979 Collect the terms in -67*l**3 + 4358*l**3 + 6668*l**3 + 3468*l**3 + 944*l**3. 15371*l**3 Collect the terms in -167*g**2 - 22*g**3 + 8*g**2 + 146*g**2 + 13*g**2. -22*g**3 Collect the terms in -12*i**2 + 2*i**2 + 7*i**2 - 4*i**2 + 1115*i - 29*i**2. -36*i**2 + 1115*i Collect the terms in -79*l - 72 - 77*l + 194*l + 170 - 52*l - 98. -14*l Collect the terms in -2254*y**2 - 610*y + 2159*y**2 + 610*y. -95*y**2 Collect the terms in 434*x - 784*x + 433*x + 437*x - 527*x. -7*x Collect the term
{ "pile_set_name": "DM Mathematics" }
decimal places. -0.025 What is -48.71145161 rounded to three dps? -48.711 Round 0.21804575627 to four dps. 0.218 What is -859.486768 rounded to 2 decimal places? -859.49 Round -0.0938433612 to six dps. -0.093843 What is -1958.84326 rounded to one dp? -1958.8 Round -0.00007653483657 to 6 decimal places. -0.000077 What is 666.2423 rounded to the nearest 1000? 1000 Round -0.150513503 to three decimal places. -0.151 Round -0.09701703 to 3 dps. -0.097 Round -2301971000 to the nearest 1000000. -2302000000 Round -745.520641 to 1 decimal place. -745.5 What is -0.01219021942 rounded to 6 decimal places? -0.01219 Round -137893268 to the nearest 1000000. -138000000 Round -4483440769 to the nearest 100000. -4483400000 Round -63454.964 to the nearest one hundred. -63500 What is 290980.703 rounded to the nearest 100? 291000 What is 86.0822729 rounded to 1 dp? 86.1 What is 0.0003894710535 rounded to six decimal places? 0.000389 Round -8308286.503 to the nearest one hundred thousand. -8300000 What is -433.090619 rounded to the nearest ten? -430 What is 25523.6439 rounded to the nearest 1000? 26000 Round -7.7255807 to three decimal places. -7.726 Round 0.000454621532 to four decimal places. 0.0005 Round -3213.10183 to the nearest one hundred. -3200 Round -222328.306 to the nearest one hundred. -222300 Round 6.43138024 to the nearest integer. 6 What is 197670.313 rounded to the nearest ten? 197670 Round 46275241020 to the nearest 1000000. 46275000000 What is -72940.715 rounded to the nearest one hundred? -72900 Round -0.001370179798 to five decimal places. -0.00137 Round -0.000021943869 to 6 decimal places. -0.000022 Round -6.429536 to three decimal places. -6.43 What is 0.454455962 rounded to three dps? 0.454 What is -0.01120309652 rounded to 3 decimal places? -0.011 What is -1.04465354 rounded to four decimal places? -1.0447 What is 0.0001177499044 rounded to 6 decimal places? 0.000118 Round 0.0000203614738 to 5 decimal places. 0.00002 What is -4458.901358 rounded to the nearest one thousand? -4000 Round -1357.482893 to 2 dps. -1357.48 Round 2966543.01 to the nearest one million. 3000000 What is 87130.51 rounded to the nearest 100? 87100 Round 38.11987531 to 0 dps. 38 Round 0.0007783282876 to 7 decimal places. 0.0007783 What is 17.9498227 rounded to three decimal places? 17.95 Round -323776.214 to the nearest 10000. -320000 What is -20901789.6 rounded to the nearest 100000? -20900000 What is -0.1929274788 rounded to five decimal places? -0.19293 What is -0.000077060525 rounded to 6 decimal places? -0.000077 Round -0.06940557202 to five dps. -0.06941 Round -0.0010965000912 to six decimal places. -0.001097 What is 30342823.06 rounded to the nearest 10000? 30340000 Round -0.000788731749 to five decimal places. -0.00079 Round -0.43268928 to three dps. -0.433 Round 7540.2191 to the nearest 1000. 8000 Round 125445.02871 to the nearest ten. 125450 What is 0.0165056373 rounded to 5 dps? 0.01651 What is -0.000700091772 rounded to 7 dps? -0.0007001 Round -242245435 to the nearest ten thousand. -242250000 What is -19.283816 rounded to 3 decimal places? -19.284 What is 809.1514 rounded to the nearest one thousand? 1000 Round -14439203.86 to the nearest 1000000. -14000000 Round 381105.22 to the nearest 100000. 400000 Round -6286.6611 to the nearest one thousand. -6000 Round 2466619.462 to the nearest 10000. 2470000 Round 389.74238 to zero dps. 390 Round -0.618036383 to 3 decimal places. -0.618 What is 0.0964142569 rounded to two dps? 0.1 Round -56.46177515 to 1 dp. -56.5 What is -37.5699532 rounded to 2 dps? -37.57 What is 0.3115891615 rounded to three dps? 0.312 What is 215906190 rounded to the nearest 1000000? 216000000 What is -0.58848581 rounded to three dps? -0.588 What is -8453.21692 rounded to the nearest 100? -8500 What is 0.000002510219 rounded to 5 decimal places? 0 What is -75582787.2 rounded to the nearest 100000? -75600000 Round 3392392.775 to the nearest one thousand. 3392000 What is -6745.551777 rounded to the nearest 1000? -7000 What is 785868842.3 rounded to the nearest 10000? 785870000 What is -1619.26951 rounded to the nearest 10? -1620 What is -12719675.787 rounded to the nearest 1000000? -13000000 What is 2345152.53 rounded to the nearest 1000? 2345000 What is 174.168025 rounded to 1 dp? 174.2 What is -0.000027982596 rounded to five decimal places? -0.00003 Round -3551.09838 to the nearest ten. -3550 What is 0.0004370966708 rounded to 4 dps? 0.0004 Round -3225.185658 to 0 decimal places. -3225 What is 0.0503101673 rounded to two dps? 0.05 What is 5553.2629 rounded to the nearest one hundred? 5600 What is -0.035715204 rounded to two dps? -0.04 Round 2428389.13 to the nearest one hundred thousand. 2400000 Round 5.63853 to zero dps. 6 What is 0.229259088 rounded to three decimal places? 0.229 Round -77294730.2 to the nearest one hundred thousand. -77300000 What is 0.000148680022 rounded to six decimal places? 0.000149 Round 5.78823634 to 3 dps. 5.788 What is -0.00475712583 rounded to five decimal places? -0.00476 What is 3655741480 rounded to the nearest one hundred thousand? 3655700000 Round 17728115050 to the nearest one million. 17728000000 What is -1297640.49 rounded to the nearest 100? -1297600 What is 0.000160670536 rounded to seven dps? 0.0001607 What is -38192.1637 rounded to the nearest 1000? -38000 What is 0.00334382329 rounded to 6 dps? 0.003344 Round 0.1064557376 to 4 dps. 0.1065 Round -0.062523147 to 5 dps. -0.06252 Round 6276.10786 to the nearest one thousand. 6000 Round -0.000005379380308 to seven dps. -0.0000054 What is -0.00002576558478 rounded to six dps? -0.000026 Round 0.1325946299 to five decimal places. 0.13259 Round -1124723.013 to the nearest 10000. -1120000 What is 0.013803901 rounded to 3 decimal places? 0.014 Round -199.9980251 to zero decimal places. -200 Round -2557185300 to the nearest one million. -2557000000 Round -9766.345536 to the nearest one hundred. -9800 Round 0.00000136092001 to seven decimal places. 0.0000014 Round -12199.9946 to the nearest 1000. -12000 What is -0.00056110552 rounded to 4 dps? -0.0006 What is -88718756 rounded to the nearest 1000000? -89000000 What is 0.0139089953 rounded to five dps? 0.01391 What is 2751005.13 rounded to the nearest ten thousand? 2750000 Round -0.00000144132355 to seven dps. -0.0000014 Round 4.549409834 to four dps. 4.5494 What is -3.07182303 rounded to 0 decimal places? -3 Round 0.059900917 to four decimal places. 0.0599 Round -5113.165662 to 1 dp. -5113.2 What is 101.7744655 rounded to 2 decimal places? 101.77 What is 931759500 rounded to the nearest one hundred thousand? 931800000 Round -0.0709149324 to 5 dps. -0.07091 Round 0.438352777 to 3 dps. 0.438 Round 0.00000735003 to four dps. 0 What is 0.0000146225568 rounded to six dps? 0.000015 Round -13645756.85 to the nearest one million. -14000000 What is 403.182484 rounded to one dp? 403.2 Round 13.0248703 to two decimal places. 13.02 What is -8650901.5 rounded to the nearest 100000? -8700000 Round -34995.11856 to the nearest 1000. -35000 Round 0.250507022 to 5 dps. 0.25051 What is 0.04786519759 rounded to 3 decimal places? 0.048 Round -2392.756 to the nearest one thousand. -2000 What is 2.7401734 rounded to three decimal places? 2.74 What is -7.544498066 rounded to 3 dps? -7.544 What is 0.000176713804 rounded to 5 dps? 0.00018 What is 0.055281686 rounded to 4 dps? 0.0553 What is 0.0053961479 rounded to 4 dps? 0.0054 Round 2.40518877 to four decimal places. 2.4052 What is 2.8718356 rounded to zero decimal places? 3 Round -0.0000258125686 to 5 decimal places. -0.00003 Round 29.5526512 to two decimal places. 29.55 Round -0.000151052361 to five dps. -0.00015 What is -879446990 rounded to the nearest one million? -879000000 What is 0.0000625410952 rounded to 5 dps? 0.00006 What is 10.50604443 rounded to 2 decimal places? 10.51 Round -398817.34 to the nearest 100000. -400000 What is -0.00045788949 rounded to 7 dps? -0.0004579 Round -600855160 to the nearest 1000000. -601000000 Round -0.006863554 to five decimal places. -0.00686 What is 14.95999894 rounded to the nearest integer? 15 What is 292.8608591 rounded to the nearest one hundred? 300 Round -8595.737392 to the nearest ten. -8600 Round 444.01287 to the nearest integer. 444
{ "pile_set_name": "DM Mathematics" }
+ -4. Let w = -9/22 - -10/11. What is the closest to -0.1 in a, 5, w? w Let x = 67 + -69. Which is the nearest to -1/4? (a) x (b) 5 (c) 0 c Let u(x) = -x**2 - 5*x - 4. Let r be u(-4). Let i = -0.16 + 0.06. Which is the closest to 1? (a) -4 (b) r (c) i b Let x be (-74)/(-14) - 20/70. Suppose x*m - 2 = -17. Which is the closest to -3? (a) 0.1 (b) 5 (c) m c Let r = 6.03 + -0.03. Which is the nearest to -3? (a) r (b) 0.1 (c) 2/9 b Let f = 2.8 + -3. Let j = f - -0.4. Let l = -2.29 + 1.29. Which is the nearest to j? (a) l (b) 2/13 (c) 0.5 b Let k = 0.3 - 0.2. Let d = 1067 - 4293/4. Let g = d + 6. What is the closest to k in 4, 2, g? g Let o be 7/21 + (-10)/(-6). Which is the closest to o? (a) 3 (b) -5 (c) 5 a Let t be 4/(3*1/3). Suppose -m + 5*m = -t. Which is the closest to m? (a) 2/7 (b) -1/4 (c) -3 b Suppose 2*v + 4 = 4*v. Suppose -4*h - 16 = -3*k - k, -3*k + v*h + 7 = 0. Let y = 0.3 - 3.3. What is the nearest to k in 4, y, 3? y Let i = -9 + 11. Which is the nearest to 0? (a) 0.1 (b) i (c) 0.4 a Let s = -9 - -1. Let j be (s - -4)*(-1)/6. What is the nearest to j in -0.5, -2/19, -5? -2/19 Let l(q) = 4*q + 64. Let f be l(-15). What is the closest to 2 in f, -0.5, 0.4? 0.4 Let i be (-10)/(-36)*69*-2. Let q = 38 + i. Which is the nearest to q? (a) 0.4 (b) -3 (c) 4/5 a Let r = 0.1 + 2.9. Let n = 2 - r. Let d be (-6)/(-9) - 13/(-3). What is the closest to 0 in 2/5, d, n? 2/5 Let t = -2.2 + 2.5. Which is the nearest to 1? (a) -1 (b) -3 (c) t c Let g = -78.6 - -79. What is the closest to 3 in 3, 2, g? 3 Let i = -0.05 + 0.05. Let m = -0.7 + 0.2. Let s = -0.3 - -0.1. Which is the nearest to 0.1? (a) i (b) m (c) s a Let g be 34/28 + (80/(-14) - -6). Which is the nearest to -7? (a) -2/15 (b) g (c) 0.5 a Let o(r) = r**2 - 8*r + 3. Let h be o(8). Let a be (75/(-20))/(h/(-8)). Let b be -2 - (0 - a/6). What is the closest to -2/3 in -5, b, -2? b Let c = -0.1 + 0.2. Let f = -1.2 - -0.2. Suppose 7*x - 40 = -3*x. What is the closest to f in c, x, 2/13? c Let m = -0.62 + 0.32. Which is the nearest to 1/2? (a) m (b) -0.2 (c) -1/6 c Suppose -3*c + 0 = -3. Let w be (c/2)/(3 - 2). Let k = -6.4 - -6. What is the nearest to w in 0.1, 4, k? 0.1 Let g = 6 + -1. Suppose -10*s = -6*s - 4. What is the closest to s in 4, -0.1, g? -0.1 Let l = 0.655 + -0.455. Let v = 0.2 - -0.2. Which is the closest to l? (a) v (b) 3 (c) -2/7 a Let i = -5 + 10. Let k = i + -1. Which is the nearest to k? (a) 1/3 (b) -0.4 (c) 5 c Let j = 13 + -8. Let d = 1 - 1.1. Let o = -7.1 + 7. Which is the nearest to o? (a) d (b) j (c) 0.1 a Let f = 4 + -7. Let k be ((-6)/(-4))/(f/(-1)). Let d = 2.22 + -0.22. Which is the nearest to 1/3? (a) -0.1 (b) d (c) k c Let x be ((-2176)/(-2770))/(-2) + 0. Let m = x + -2/277. What is the nearest to -0.1 in m, 1/6, -3? 1/6 Let r be -5*-2*2/70. Let w = 39/2 - 20. What is the nearest to r in -0.4, w, -3? -0.4 Let n be (-1 + 0)/((6/(-2))/3). Which is the nearest to -0.1? (a) n (b) -0.25 (c) 0.4 b Let r = -17 - -17.2. What is the nearest to r in 0, 2/13, -0.01? 2/13 Let s be (2 - (-25)/(-12))*-3. Which is the closest to 0? (a) s (b) 4 (c) -5 a Let o = -168 - -160. What is the nearest to o in -3/5, 2/7, -4? -4 Let c be 799/(-5) - (0 - -2). Let x = c + 161. Let q be ((-56)/52)/7 - 16/65. What is the closest to q in x, 4, -3? x Let g = 23 + -23.1. What is the closest to -2/3 in -1, g, 1? -1 Let u = 2.993 - -0.007. Let w = 0 + 0.2. Which is the nearest to 2? (a) w (b) u (c) 0.1 b Let x = -0.11 - -0.31. Let r be -6*(-4)/18 - 1. Let o = -0.4 + 0.3. Which is the nearest to o? (a) r (b) 5 (c) x c Let z(s) = s - 5. Let o be z(5). Let i = 4077592/63 + -64728. Let j = i - -44/9. What is the closest to o in -5, 0, j? 0 Let g = 19 + -17.3. What is the closest to 0 in g, -5, 2/5? 2/5 Let h be 3*(20/3)/5. Let l be 9/(-42)*h/(-3). Which is the closest to 0? (a) 3 (b) 2 (c) l c Let w be (-2 - 0 - 0) + -37. Let o = -116/3 - w. Which is the nearest to o? (a) 3 (b) -2 (c) -0.5 c Let o be (-1)/(-5) - (322/35 + -5). Which is the closest to -1? (a) o (b) -3/2 (c) -2/9 b Let k = -66 - -65.9. Which is the closest to -1? (a) 2/5 (b) k (c) 0.2 b Suppose 66 = 9*x + 30. Let o be ((-3)/(-6))/((-2)/(-4)). What is the nearest to -1 in o, 5, x? o Let n = -2.3 - 0.7. Let m = -5 + 0. What is the closest to -1 in n, m, -0.4? -0.4 Let x = 6/19 + -17/114. Let d = -11/30 + x. Let p be 12/(-9)*(-6)/10. Which is the nearest to 2? (a) d (b) 1/5 (c) p c Let j = 4 - 3.6. Let i = j + -5.4. Which is the nearest to 1? (a) i (b) 0.2 (c) 5 b Let v = -16 + 28. Let g be 4/v*6/7. Which is the nearest to 1/3? (a) g (b) -4/5 (c) -2/15 a Let t = 0.33 - -3.67. What is the closest to -0.1 in -1/3, -2, t? -1/3 Let k = 3.4 - -0.6. Let v = -7 + k. What is the nearest to 1 in 1/2, v, -2/9? 1/2 Let n = 1.5 - 0.5. Let t = n + 2. Which is the nearest to -2? (a) t (b) 0.3 (c) -2/7 c Let x(j) be the second derivative of j**3/3 + 3*j**2 - 4*j. Let m be x(-5). Let g = 3.94 + 0.06. What is the closest to -0.1 in g, m, 2/5? 2/5 Let u be (-6)/168 - 4/(-14). What is the nearest to u in 4, -3, -4? -3 Suppose 17*k - 15*k + 24 = -4*q, 4*q + 42 = -5*k. What is the nearest to 2/7 in -2/9, k, -0.1? -0.1 Let q = -57 + 57. What is the nearest to 0 in 4/15, q, -1? q Let u be 3 - 14/4 - 35/(-10). Which is the closest to -1? (a) u (b) -0.4 (c) 2 b Let k(d) = 2*d + 1. Let j = -5 - -1. Let s be k(j). Let u = -4 - s. What is the closest to -2/3 in -3, u, 1/6? 1/6 Let s = -8 + 7.6. Suppose 0 = -a - 0*a + 10. Suppose -u + 6*u - 3*f - 40 = 0, -4*u - 2*f = -a. What is the nearest to -1 in u, 1/6, s? s Let w = -31.9 - -32. Let j = 0.25 - -0.05. Let k = -0.7 - j. Which is the nearest to w? (a) k (b) 0.3 (c) 0 c Let t be 48/(-9)*(-15)/(-10). What is the nearest to -1 in t, 2, 0.4? 0.4 Let i be ((-7)/(-7))/(1/(-2)). Let g = -0.6 - -0.5. Which is the closest to g? (a) i (b) -3 (c) 2 a Let t = -84.1 + 84. What is the closest to t in 0, 2/7, 2/13? 0 Let b = -5 - -8. Let m = b + -3.1. What is the nearest to -2/7 in -3/2, 4/3, m? m Let z be 2/(-7) + (-27)/(-21). Let d = -0.04 + 2.04. Let u = 112/11 + -593/55. What is the closest to u in z, -0.5, d? -0.5 Let q = 52.2 + -52. What is the closest to -1 in -2/5, q, -3? -2/5 Let j be -2 + (2 - -10)/2. Suppose -2*l - 6 = j*t - 5*l, -5*l + 10 = 2*t. Which is the closest to -1? (a) t (b) 1/12 (c) -4 a Let d be (-304)/(-264) - 8/6. Which is the closest to -0.1? (a) -1/7 (b) d (c) -5/4 a Let y = -2536 - -7526/3. Let u = y - -27. Let t be ((-4)/(-3))/((-3)/9). Which is the nearest to -1? (a) t (b) -5 (c) u c Let i = 0.23 + 0.07. Let j = -3749/11 - -341. What is the nearest to 1/2 in 3, j, i? i Suppose 5*v + 1 = -4*t, 2*v = -2*t - 0*v. Let i = 11.3 + -11. Which is the closest to 0.2? (a) i (b) 1/2 (c) t a Let x = 2.4 - 2. Let t = 4.9 - 4.9. What is the closest to t in -2, x, 0.5? x Let o = 5 - 7. Suppose -3*t = -4 + 13. Which is the closest to o? (a) 3/5 (b) 5 (c) t c Let g = 6 + -5.8. What is the closest to g in -3, 3, 1? 1 Let i = -260/381 + 2/127. Let m = -5/12 - i. Let j = 59/2 + -30. Which is the nearest to m? (a) 0.4 (b) j (c) 3/7 a Let d = -16/9 + 10/9. Let o = -13/36 - -1/36. Which is the nearest to 0? (a) d (b) o (c) -0.2 c Let t = 587 + -591.03. Let r = t + 0.03. Let l = -4 + 2. Which is the closest to 0.1? (a) r (b) 2/17 (c) l b Let t = 2.069 - 0.069. What is the closest to -1 in 2/5, t, -8? 2/5 Let k(o) = -o**2 - 5*o + 40. Let u be k(4). Let v be (-1 + 7/2)*-2. Which is the nearest to -3? (a) v (b) 3 (c) u a Let x = 13.2 - -3.8. Let w = x + -12. Let u = 0.5 + -0.6. What is the nearest to u in -5, w, 1/5? 1/5 Let s be (-3 - -7)/(5 + -4). Let q = 14 + -27/2. Which is the nearest to -1/4? (a) q (b) 0.4 (c) s b Let d(j) be the third derivative of j**4/24 - 2*j**3/3 + 5*j**2. Let l be d(2). Let y = 0.8 - 1. Which is the closest to y? (a) l (b) -0.5 (c) 0.4 b Let l = -0.8 - 4.2. Let t = -1 + 1. Let u be (-8)/12*(-2)/(-4). Which is the closest to 0.1? (a) t (b) l (c) u a Suppose 2*v + c = 2, -3*v - 3*c + 4*c - 2 = 0. Let a = 0.25 + -0.01. Let q = a - -0.06. What is the closest to 0.1 in 5/2, v, q? v Let x = -18 + 6. Let l be (-6)/7*x/(-18). Let i = -3 + 3.1. Which is the closest to i? (a) l (
{ "pile_set_name": "DM Mathematics" }
- 0) + 3 - 3. Suppose -5*f + 237 = 4*y, -y - 3*f + 227 = r*y. Is 13 a factor of y? False Suppose 3*i = 4*i - 5*t - 47, 2*i = -4*t + 52. Is i a multiple of 13? False Let y be (-1 - (-4 - 89))*-1. Is (-3)/6 - y/8 a multiple of 7? False Let u(d) = -8*d**3 - 2*d**2 + d. Let r be u(1). Let n = 9 + r. Is n + 1 - (-1 - 1) a multiple of 3? True Suppose 3*p + 4*i = 244, -5*p = -4*i - 51 - 345. Is 16 a factor of p? True Suppose 10*o = -2*d + 5*o - 11, -11 = -d + 3*o. Let u(s) = -s**2 - 15 - 5*s + 18 + 3*s**d. Does 6 divide u(3)? True Does 3 divide (126/(-12) - -6)*-6? True Let m(q) = -21*q**3 + 0*q + 0*q. Suppose -2*c - 5*i - 2 = 0, -c - 2*i = -3*c - 2. Does 15 divide m(c)? False Let y = 3 + -1. Suppose -y*v + 3 + 7 = 0. Suppose -v*w + 161 = j - 21, 4*w = 5*j + 134. Is 11 a factor of w? False Let l(t) = t**3 - 11*t**2 - 9*t + 6. Is l(12) a multiple of 7? True Let z = 0 + 0. Let y be (z - -1)*(8 - 14). Does 8 divide 8*3/(-9)*y? True Suppose -6*o + 4*a = -2*o - 24, 14 = o + 3*a. Suppose 0 = -2*j - o, -2*u + 30 = -5*j - 2. Does 4 divide u? False Suppose t = 3*t - 8. Suppose -160 = -4*p + t*z, -3*p + 2*z = -176 + 52. Is p a multiple of 25? False Let w(j) = j**2 - 5*j - 4. Let z be 0 - (-3 - (2 + -1)). Let k be w(z). Let l = k + 21. Does 8 divide l? False Let u = -35 + 120. Does 17 divide u? True Let j be (-1)/(-3) + (-232)/12. Let v = -4 - j. Is 11 a factor of v? False Let g(x) = -x**3 - 11*x**2 - 7*x + 3. Let t(i) = i**3 + 12*i**2 + 7*i - 2. Let n(p) = -4*g(p) - 3*t(p). Is 12 a factor of n(-6)? True Let r = -9 + 15. Suppose 2*k = r*k + 248. Let h = -44 - k. Is h a multiple of 9? True Let i = 9 + -6. Suppose i*d - 152 = -d + 3*n, -3*d + 5*n + 114 = 0. Does 22 divide d? False Suppose 0*v - v - 2 = 0. Let t be (2 + 7/v)*-24. Suppose 4*p - 3*p - t = 0. Is p a multiple of 18? True Let l = 8 - 8. Suppose -4*v + 200 = 4*t, l = -2*v - t + 4*t + 120. Does 13 divide v? False Let m(w) = w - 2. Let p be m(-7). Let v = -3 - p. Is 40/v*1*6 a multiple of 14? False Suppose 22*t - 17*t = 340. Is t a multiple of 17? True Let y be (-57)/(-11) - 4/22. Suppose -t - 16 = -y*t. Does 4 divide t? True Let o = -95 + 185. Does 30 divide o? True Suppose 3*w - 249 = -p - 2*p, -3*p = -5*w - 209. Does 13 divide p? True Suppose 0 = -4*v - v + 25. Suppose 2*l = v*p + 20, l = -2*p - 8 - 9. Is 19 a factor of (38/3)/((-4)/p)? True Let k = 86 - 69. Is 8 a factor of k? False Suppose -5*m = -25 - 20. Does 14 divide (3/m)/((-4)/(-168))? True Suppose 2*w + 4*m - 2 = 0, 8 = 4*w + 4*m - 0*m. Suppose -q + 3*q = 8, 0 = w*i - 2*q - 100. Does 9 divide i? True Let z(d) = d**2 - 2*d. Let g(t) = 2*t - 19. Let k be g(8). Is z(k) a multiple of 3? True Let g = -5 - -6. Let v be 15/((-3)/(-3)) + g. Let i = v - 9. Is 3 a factor of i? False Let g(d) = 3*d**2 + 3*d + 6. Is g(-6) a multiple of 13? False Let a(x) be the first derivative of x**3/3 - x**2 + 26*x - 1. Does 26 divide a(0)? True Let r(d) = -d**3 + 10*d**2 - d - 8. Does 16 divide r(9)? True Suppose 0 = -3*t - 9, 0*t + 4*t = g + 18. Let z = g - -56. Does 7 divide z? False Let d(f) = f**3 - 12*f**2. Let w = 41 + -29. Let g be d(w). Suppose g = -5*q + z + 12, -q - 2*z - 6 = -5*q. Does 2 divide q? False Suppose -3*a - 71 + 7 = -l, 0 = -l - 4*a + 50. Let r = l - 41. Is 17 a factor of r? True Let q be ((-27)/(-6))/(6/(-8)). Let n = q + 9. Is 2 a factor of n? False Suppose 0 = 2*f - 4*t, 0 = -4*f - 5*t + 42 - 16. Suppose -26 = -5*i + f*i. Is i a multiple of 11? False Suppose 4*m = -5*o + 97, -o + 24 + 35 = 3*m. Suppose d - m = -d. Does 6 divide d? False Let c = 131 + -44. Suppose 4*b - 21 = c. Does 19 divide b? False Let o(p) = -2*p - 4. Let j be o(-3). Suppose s = j*x + x - 23, 2*s + 11 = x. Is x a multiple of 2? False Suppose 2*y + 2*y = 8. Suppose -3*o + 5*f = -32, 3*o + y*o + f = 16. Is o a multiple of 3? False Suppose -g - 329 = -2*o, 3*o - 4*g - 494 = -3*g. Is o a multiple of 33? True Let y(g) = -g**2 + 4*g - 1. Let o be y(5). Is 10 a factor of o*15/18*-4? True Suppose -255 = -3*z + 75. Does 11 divide z? True Is 56 - ((-3)/(-1) + 0) a multiple of 20? False Suppose 0*b - 19 = 2*b + 3*u, b = -4*u - 17. Let m(t) = t**2 - 3*t - 7. Does 15 divide m(b)? False Let y = 6 + 39. Is 13 a factor of y? False Suppose -3053 = -27*o + 1672. Is 52 a factor of o? False Let h(f) be the second derivative of f**6/360 + f**5/40 + f**4/8 - f**3/6 - f. Let j(s) be the second derivative of h(s). Is j(-5) a multiple of 5? False Let d(n) = n**2 + 8*n + 1. Suppose 5*z - 2 = 3*o + 4, -8 = 2*o - 2*z. Let p be d(o). Let l(a) = -a + 8. Is l(p) a multiple of 14? True Suppose -77 = 2*o + 15. Let l = o + 109. Suppose 5*s - 127 = l. Does 14 divide s? False Let i be (-15)/18*2*6. Let l = i + 16. Suppose -9 = 3*w - l*w. Is 3 a factor of w? True Is 15 a factor of (-3 - -1) + 0 - -31? False Suppose 2*z - 4*z = -10. Suppose z*d - 41 = 34. Does 15 divide d? True Let x(w) = w**2 - w. Let r(f) = -5*f**2 + 9*f + 8. Let h be (-30)/8 - 2/8. Let s(v) = h*x(v) - r(v). Is 2 a factor of s(7)? True Suppose 0 = k - 3, 0*d - 4*k = 2*d - 132. Is d a multiple of 12? True Let c = 42 - 13. Suppose o + c = g, -5*o + 22 = 5*g - 133. Is 10 a factor of g? True Suppose -5*d = -101 + 21. Suppose 0 = 3*x + x - d. Is x a multiple of 4? True Suppose 5*j + 129 - 4 = 0. Let a = j + 58. Is 13 a factor of a? False Let m = 7 + 90. Suppose 52 = 5*h - 3*b - 51, 5*h + 3*b = m. Is 13 a factor of h? False Suppose c + 3*c = 0. Suppose c = -0*n + 3*n - 33. Let v = n - -46. Does 20 divide v? False Suppose -2*t + 26 = -22. Is 18 a factor of t? False Suppose -4*a = 15 + 45. Let s = a - -25. Suppose 0 = -0*x - 5*x - 5*d + s, 3*x + d = 6. Is x a multiple of 2? True Let r(s) = 4*s + 20. Is r(0) a multiple of 10? True Let p(c) = 7*c - 19. Let s be p(10). Suppose 2*l - s - 3 = 4*i, l = i + 32. Is 9 a factor of l? False Suppose 168 - 512 = -4*f. Is f a multiple of 18? False Let v(g) = g**3 - 7*g**2 + 5*g + 6. Let p be v(6). Suppose p*n = 4*n - 72. Is n a multiple of 9? True Let x(p) = -6*p + 3. Let w be x(-9). Suppose 4*o = -3*j + 88, -2*j - 5*o + w = -2*o. Is j a multiple of 12? True Let n be (-33)/(-5) - 6/10. Suppose -3*k + k = n. Does 21 divide 42/(-5 - k - -3)? True Let r(g) = -3 + 4 + g**2 + 3*g - g. Let u be r(-3). Suppose u*o = -o + 195. Does 14 divide o? False Suppose z = 4*z + 6. Does 9 divide (-98)/(-5) - z/5? False Let v be ((-3)/4)/((-3)/12). Let n(k) = -19*k + 2. Let w be n(-6). Suppose r = -v*r + w. Does 14 divide r? False Let i(t) = 2 + t - 6 - t**2 - 5*t. Let d be i(-4). Is 5 a factor of 20/(-16)*d*3? True Let u be (3 - (6 + 0)) + 3. Let x(s) = s**3 - s**2 - s + 16. Is x(u) a multiple of 4? True Suppose -2*t = -o - 7, -3*t - o = 5 - 3. Let y be t - 2/(-4)*-8. Does 8 divide ((-64)/12)/(1/y)? True Let x = 3 - -1. Is 5 a factor of (-384)/(-40) + x/10? True Let g be ((-2)/(-4))/((-3)/300). Let c = 73 + g. Let k = -3 + c. Is k a multiple of 12? False Let m = -20 + 12. Let k = 58 + -35. Let j = k + m. Is j a multiple of 15? True Suppose -50 = -0*b - 5*b. Suppose -2*l + 46 = -b. Is l a multiple of 14? True Let p(s) = s**2 - s - 3. Let t = 4 - 1. Let r be p(t). Suppose -3*x + 43 = 2*k + 3*k, 0 = -4*x + r*k + 9. Is 6 a factor of x? True Let i(w) = 8*w + 8 + 1 - w**2 - 2. Is i(8) a multiple of 2? False Suppose 7*a + 848 = 11*a. Does 35 divide a? False Suppose -5*l + 0*n = -3*n - 42, -5*n - 26 = -l. Let d(w) = w**2 - 5*w - 6. Let x be d(l). Suppose x = -k - 4*k + 240. Does 20 divide k? False Let l be 1*-4 + -4 + 3. Is 5 a factor of l/((-3)/((-60)/(-4)))? True Suppose 5*z - 3*z = 230. Is z a multiple of 35? False Suppose 4*g = -2*x + 68, -5*x + 110 = g - 6*g. Does 9 divide x? False Let x(g) be the second derivative of 1/6*g**3 + 4*g**2 + 0 - 3*g. Is 14 a factor of x(12)? False Let o = 12 + -8. Suppose o*w - 9 = 43. Let z = w + 3. Is 8 a factor of z? True Let x(l) be the first derivative of 5*l**3/3 - l**2/2 - 2*l - 2. Suppose -3 = 5*j + 7. Does 7 divide x(j)? False Let i(j) = -23*j - 2. Let n be i(-4). Suppose x - 4*x = -n. Is 13 a factor of x? False Suppose -t + 3*p - 1 = -0*t, -4*t + 3*p + 14 = 0. Does 2 divide t? False Suppose 4*q = -q + 5. Let f(l) = -l**3 + l**2 + l - 1. Let r be f(q). Suppose 0 = -z - 2*x - r + 7, -z + 3*x + 17 = 0. Is z a multiple of 5? False Suppose 0 = 3*h - 5*k - 84, 45 = 4*h + 5*k - 67. Is (h/(-10))/((-
{ "pile_set_name": "DM Mathematics" }
g. 4 Solve 37*b - 52 = 762 for b. 22 Solve -200*g + 10170 = 36*g + 329*g for g. 18 Solve -72 = 1161*j - 1179*j for j. 4 Solve -63*w - 35*w + 791 = -2051 for w. 29 Solve 11003*x - 11012*x = 0 for x. 0 Solve 61*a + 100*a = 3381 for a. 21 Solve -87*f + 127*f - 183 = 17 for f. 5 Solve -130*v + 7*v = 85*v + 1664 for v. -8 Solve -1 = 88*k + 615 for k. -7 Solve -116*j = 82*j + 69*j + 4272 for j. -16 Solve 20*l - 147*l - 509 - 634 = 0 for l. -9 Solve 24*v + 545 = 857 for v. 13 Solve -21*l + 2*l - 147 = 2*l for l. -7 Solve -88*t - 940 - 178 = 730 for t. -21 Solve 2146 - 984 = -83*p for p. -14 Solve -80*v - 114 = -194*v for v. 1 Solve 87*a - 423 = 1256 - 113 for a. 18 Solve -131 - 2997 + 296 = -118*t for t. 24 Solve 21*t - 74 = -13*t - 244 for t. -5 Solve 108*l = 104*l + 24 for l. 6 Solve 226*i = 234*i - 48 for i. 6 Solve 663*g + 16 = 1323*g - 662*g for g. -8 Solve -2211 - 491 = 299*o - 310 for o. -8 Solve 27*l + 19*l + 293 = -397 for l. -15 Solve 0 = 96*u + 3410 - 1874 for u. -16 Solve -42*s - 1 = 11*s - 743 for s. 14 Solve -123*v - 570 - 840 = -170*v for v. 30 Solve 0 = -109*w + 1281 + 1335 for w. 24 Solve 74*i - 478 - 750 + 118 = 0 for i. 15 Solve -229*r = -1261*r - 5160 for r. -5 Solve 302*t = -391*t + 255 - 10650 for t. -15 Solve -746*o - 18 = -748*o for o. 9 Solve 1866*h - 3582*h = -1780*h - 448 for h. -7 Solve 112 = 83*m + 859 for m. -9 Solve -12 = -4*z - z + 53 for z. 13 Solve -1673*a - 4 = -1631*a + 38 for a. -1 Solve -1 - 2 = -5*k - 68 for k. -13 Solve -197*k - 31*k = 94*k - 7084 for k. 22 Solve 12498 = -7*j + 12449 for j. -7 Solve -274*w = -1547 - 371 for w. 7 Solve 1676 = 225*h - 1851 - 1198 for h. 21 Solve -3775*c = -3789*c for c. 0 Solve 372 = 152*o - 540 for o. 6 Solve 130*c + 98*c = 4104 for c. 18 Solve 145*i + 50*i = 14*i - 3077 for i. -17 Solve 0 = 57*s + 6*s - 756 for s. 12 Solve -2030 + 2467 = -19*f for f. -23 Solve 544 = 195*m + 5084 - 55 for m. -23 Solve 0 = -285*n + 56*n + 4809 for n. 21 Solve 6*h + 6*h + 8 = 13*h for h. 8 Solve 115*p + 51*p = 232*p + 726 for p. -11 Solve -172069 + 171499 = 30*n for n. -19 Solve 283*i - 145*i = 148*i + 10 for i. -1 Solve -146*x - 573 = -337*x for x. 3 Solve 187 + 101 = -18*m - 36 for m. -18 Solve 0 = -42497*t + 42466*t - 31 for t. -1 Solve -2170 = 96*c - 251*c for c. 14 Solve -16*b + 199 + 401 = 34*b for b. 12 Solve -274*c + 520*c = 309*c + 63 for c. -1 Solve -1599*z = -1086*z + 19494 for z. -38 Solve 122*s = 99*s - 34 - 311 for s. -15 Solve 5*u = 22 + 28 + 45 for u. 19 Solve -121 - 119 = -21*j + 96 for j. 16 Solve -89*x + 49*x = 92*x + 4356 for x. -33 Solve 0*k - 28*k = 71*k - 99 for k. 1 Solve -61*b - 1130 = -174*b for b. 10 Solve 2*w + 1170 = 47*w + 72*w for w. 10 Solve -4*p = -73*p + 392 - 668 for p. -4 Solve -61*u - 2888 = -198*u - 833 for u. 15 Solve 9*r = 21*r - 11*r for r. 0 Solve -76*q + 76*q = 354*q + 11682 for q. -33 Solve -225*b = -229*b + 12 for b. 3 Solve -80*h + 293 - 113 = -60*h for h. 9 Solve 153*s + 4374 = 67*s - 76*s for s. -27 Solve -260*j + 714 + 66 = 0 for j. 3 Solve -24*k + 596 = 260 for k. 14 Solve -51*g + 46 + 442 = -22 for g. 10 Solve -13*y + 52*y + 1116 = -23*y for y. -18 Solve 0 = 8030*s - 8070*s + 280 for s. 7 Solve 1640*g - 168 = 1616*g for g. 7 Solve 0 = 16*c - 35*c + 21*c + 10 for c. -5 Solve 165 = -239*h + 39*h - 835 for h. -5 Solve -13*q - 13*q = -28*q + 8 for q. 4 Solve -114*a + 72*a = 40 + 44 for a. -2 Solve 3*p = 255*p - 28*p + 8064 for p. -36 Solve 1138*d - 7795 = 414*d + 10305 for d. 25 Solve -241 + 201 = -8*o for o. 5 Solve 17*w = -8*w + 12883 - 13333 for w. -18 Solve -81965 = -55*o - 81910 for o. 1 Solve -5953*d - 638 = -5924*d for d. -22 Solve 0 = -74*r + 41*r - 165 for r. -5 Solve 72*m = 16076 - 15428 for m. 9 Solve 281*i - 283*i - 6 + 22 = 0 for i. 8 Solve 0 = 67*f + 35*f - 816 for f. 8 Solve 648 = -272*g + 56*g for g. -3 Solve 0 = -375*l + 383*l - 40 for l. 5 Solve -15719*n + 4200 = -15619*n for n. 42 Solve -104*u - 492 + 314 = 862 for u. -10 Solve 64*t - 404 - 300 = 0 for t. 11 Solve 13*k - 13*k + 16*k + 160 = 0 for k. -10 Solve -119*f - 291*f = 325*f + 735 for f. -1 Solve -49*j = -47*j + 24 for j. -12 Solve 512*q = 287*q - 6525 for q. -29 Solve -452*s = -479*s + 137 + 349 for s. 18 Solve -2255 = 129*f - 25*f + 101*f for f. -11 Solve 1187 - 2195 = -84*o for o. 12 Solve 31*s + 1316 = 1688 for s. 12 Solve -625*y + 54945 = 1410*y for y. 27 Solve 133*b - 16762 + 14102 = 0 for b. 20 Solve 3321 = 6619*u - 6496*u for u. 27 Solve 853*u + 184*u = 0 for u. 0 Solve -8*u + 48 = 91 - 59 for u. 2 Solve 26*l + 442 = -216 + 944 for l. 11 Solve 0 = -34*o - 203 + 33 for o. -5 Solve 0*q = -15*q + 190*q - 5600 for q. 32 Solve -373*b - 1764 = 431 - 9655 for b. 20 Solve 28*l - 1642 = -1754 for l. -4 Solve -221*j = -25*j + 2548 for j. -13 Solve 26*w + 18*w - 546 = -138*w for w. 3 Solve 51*n = 80*n + 290 for n. -10 Solve -323*u - 522*u = -227*u + 8034 for u. -13 Solve 746*b + 9476 = 168*b - 3818 for b. -23 Solve -79742*h = -79707*h + 595 for h. -17 Solve -11*t = -58*t - 18*t + 780 for t. 12 Solve -38*j = 262*j - 4800 for j. 16 Solve -45*k - 516 = -3*k + k for k. -12 Solve 0 = -11*b + 4*b - 400660 + 400786 for b. 18 Solve -143*p + 154 = -388*p + 2849 for p. 11 Solve -329 = -35*p + 84 + 147 for p. 16 Solve 3266 - 2890 = -188*f for f. -2 Solve -7*t + 70 = 193 - 60 for t. -9 Solve 72 - 34 = 20*x - 42 for x. 4 Solve 686*l + 336 = 662*l for l. -14 Solve -77708 + 77638 = -14*g for g. 5 Solve 2*b + 6*b = -3*b + 77 for b. 7 Solve -71*d = 175*d + 5166 for d. -21 Solve -99 - 109 = -26*a + 26 for a. 9 Solve 0 = 891*z - 921*z + 120 for z. 4 Solve -74*d + 71*d = -18 for d. 6 Solve 32646 = -11*u + u + 32486 for u. -16 Solve 81206*h - 81178*h + 448 = 0 for h. -16 Solve -5*b - 107 + 55 = 18 for b. -14 Solve 48 = -3*f + 10*f + 202 for f. -22 Solve 1479*v - 20361 - 2486 - 3775 = 0 for v. 18 Solve 0 = 22*o - 6*o - 7*o for o. 0 Solve 0 = 2*b - 40*b - 283 + 815 for b. 14 Solve -647 - 2097 = -194*g - 222 for g. 13 Solve -113*d - 2984 = -385 for d. -23 Solve 384*v - 794*v = -394*v + 128 for v. -8 Solve -39*s - 383 = -295 + 926 for s. -26 Solve 100*g - 56*g - 56*g - 300 = 0 for g. -25 Solve 828 = 53*w - 260*w for w. -4 Solve 0 = -27*y + 28 + 66 + 41 for y. 5 Solve 41 = -86*t + 1589 for t. 18 Solve -5034930*k + 1147 = -5034967*k for k. -31 Solve 100*z - 324 = 301 - 125 for z. 5 Solve 0 = 183*d - 430 - 37 - 265 for d. 4 Solve 10*y = -17*y + 56 + 25 for y. 3 Solve -39*n + 0*n - 140 = 31*n for n. -2 Solve -1953 + 1764 = -21*p for p. 9 Solve -117*w - 122 - 1484 = 29*w for w. -11 Solve 280 = -99*f + 71*f for f. -10 Solve 2892*i + 2300 = 2984*i for i. 25 Solve 0 = 102*a - 8*a + 564 for a. -6 Solve -37*u - 25 = -40*u - 1 for u. 8 Solve 0 = 3*i + i - 32*i + 224 for i. 8 Solve 7*j + 80 = 49 - 60 for j. -13 Solve -13007*s = -12988*s for s. 0 Solve -149*b + 67*b + 2050 = 0 for b. 25 Solve 5502 = 7*u + 5425 for u. 11 Solve 7484 = -31*m + 7980 for m. 16 Solve -61*y - 7*y - 27*y - 190 = 0 for y. -2 Solve 1317*z - 126 = 1359*z for z. -3 Solve -154 = -714*s + 637*s for s. 2 Solve -32*t = -54*t - 145*t + 2505 for t. 15 Solve 0 = 108*p + 55*p - 10*p - 1836 for p. 12 Solve -60*u + 30*u - 3600 = 150*u for u. -20 Solve 22*i - 57 = 29*i + 20 for i. -11 Solve -41*i + 0*i = 109*i + 3750 for i. -25 Solve 32 - 8 = 264*j - 272*j for j. -3 Solve 44*l - 74*l = -57*l - 1080 for l. -40 Solve 9*l = 2*l + l + 12 for l. 2 Solve 1553*o = 1506*o - 180 + 791 for o. 13 Solve -29*l + 41 = 24*l - 12 for l. 1 Solve 60*w = 781 - 241 for w. 9 Solve 168*w + 104*w - 95*w - 1239 = 0 for w. 7 Solve -3523*h + 2346 = -3385*h for h. 17 Solve 0 = -38*k + 78*k - 49*k + 72 for k. 8 Solve -1519 = -270*r - 623 + 2344 for r. 12 Solve 0 = -999*z + 1009*z + 20 for z. -2 Solve -36*c - 1198 + 1162 = 0 for c. -1 Solve -33 - 29 + 62 = 36*d for d. 0 Solve 187*c = 101*c - 2512 + 362 for c. -25 Solve -589*r = -3773 - 9115 - 1248 for r. 24 Solve 0 = 18*b - 695 + 587 for b. 6 Solve 126*q = -472*q + 3588 for q. 6 Solve -59*g - 369 = 490 + 734 for g. -27 Solve 524 = -150*w + 31 + 43 for w. -3 Solve 266*o - 2418 - 3675 + 2103 = 0 for o. 15 Solve 112 + 68 = -28*g - 2*g for g. -6 Solve 0 = 217808*q - 217739*q - 552 for q. 8 Solve 0 = -81*l - 3818 + 2279 for l. -19 Solve -190*t + 5229 = 255*t - 9456 for t. 33 Solve 30*f - 13 - 61 = -7*f for f. 2 Solve -313*k - 350 = 3
{ "pile_set_name": "DM Mathematics" }
sor of 228975 and 2769. 213 Calculate the highest common divisor of 147654 and 36. 18 What is the greatest common factor of 20 and 386948? 4 What is the highest common divisor of 378 and 49626? 54 What is the highest common divisor of 10944 and 128? 64 Calculate the greatest common factor of 490 and 88760. 70 What is the highest common divisor of 3289 and 9568? 299 Calculate the greatest common factor of 105689 and 34. 17 What is the greatest common divisor of 6996 and 253? 11 What is the highest common factor of 16591 and 30358? 353 What is the highest common divisor of 960 and 90320? 80 Calculate the greatest common factor of 70 and 14266. 14 What is the greatest common factor of 501864 and 396? 132 Calculate the highest common divisor of 65056 and 76. 76 What is the highest common factor of 939 and 218474? 313 Calculate the highest common factor of 429 and 16621. 11 What is the highest common factor of 1024 and 13408? 32 Calculate the highest common divisor of 14676 and 582. 6 Calculate the highest common divisor of 1345 and 81238. 269 What is the highest common divisor of 4756 and 1276? 116 Calculate the highest common factor of 117 and 21034. 13 What is the greatest common divisor of 5891 and 4257? 43 Calculate the highest common factor of 558 and 155. 31 Calculate the greatest common divisor of 1001 and 67522. 91 What is the highest common factor of 1893688 and 670? 134 Calculate the highest common divisor of 132 and 5892. 12 What is the highest common factor of 1271 and 205? 41 Calculate the highest common divisor of 23046 and 168837. 501 Calculate the highest common factor of 154296 and 408. 24 What is the greatest common divisor of 18573 and 1963? 151 Calculate the greatest common divisor of 193805 and 934. 467 What is the greatest common factor of 5828 and 120508? 188 What is the highest common factor of 409669 and 39? 13 Calculate the greatest common divisor of 27 and 88839. 9 What is the highest common factor of 104100 and 4800? 300 Calculate the highest common divisor of 132 and 4059836. 44 Calculate the greatest common divisor of 4399 and 67728. 83 What is the greatest common divisor of 505 and 810? 5 Calculate the greatest common factor of 339399 and 129. 129 Calculate the highest common divisor of 12276 and 23364. 396 What is the highest common factor of 420813 and 441? 9 What is the greatest common factor of 99 and 1058541? 33 What is the highest common factor of 14878 and 1730? 346 Calculate the greatest common factor of 417412 and 4820. 964 Calculate the highest common factor of 21781 and 3128. 23 What is the greatest common factor of 93883 and 1115? 223 Calculate the highest common divisor of 256370 and 21390. 310 What is the highest common factor of 1584 and 576? 144 What is the greatest common factor of 41904 and 47196? 108 What is the greatest common factor of 1020585 and 30? 15 Calculate the greatest common divisor of 9826668 and 108. 36 Calculate the greatest common factor of 2494 and 3712. 58 Calculate the highest common factor of 28692 and 1764. 36 What is the greatest common divisor of 3164 and 49? 7 What is the greatest common divisor of 408 and 939? 3 What is the greatest common divisor of 225 and 46680? 15 What is the greatest common factor of 38 and 400178? 38 Calculate the highest common divisor of 2528 and 1888. 32 Calculate the highest common factor of 558 and 12116412. 558 Calculate the greatest common factor of 189641 and 142. 71 Calculate the highest common factor of 6751 and 129. 43 What is the highest common divisor of 11692 and 1850? 74 What is the highest common factor of 2765 and 632? 79 Calculate the highest common factor of 1218024 and 513. 27 What is the highest common divisor of 3650 and 2050? 50 Calculate the greatest common divisor of 236313 and 4851. 693 Calculate the highest common factor of 1637545 and 105. 35 Calculate the greatest common factor of 345619 and 31. 31 What is the highest common factor of 12 and 4201404? 12 Calculate the greatest common factor of 368161 and 69. 23 Calculate the greatest common factor of 60 and 340140. 60 What is the greatest common divisor of 16872 and 168? 24 What is the highest common factor of 264 and 248644? 44 Calculate the greatest common divisor of 621 and 2655603. 207 Calculate the greatest common divisor of 66 and 2468202. 66 Calculate the greatest common factor of 45269 and 2007. 223 Calculate the greatest common factor of 54 and 40428. 18 Calculate the greatest common factor of 1980480 and 840. 120 What is the greatest common divisor of 1257420 and 2280? 1140 Calculate the highest common factor of 11456 and 895. 179 Calculate the highest common factor of 14104 and 33128. 328 Calculate the highest common divisor of 37837 and 471. 157 Calculate the greatest common factor of 14758 and 1504. 94 What is the highest common factor of 2703102 and 306? 102 What is the highest common divisor of 4 and 78332? 4 Calculate the greatest common factor of 1656 and 6681960. 1656 What is the greatest common factor of 108 and 5964? 12 What is the highest common divisor of 11666 and 114? 38 What is the greatest common divisor of 1394 and 24786? 34 What is the greatest common divisor of 1332 and 148777? 37 What is the greatest common factor of 40 and 325880? 40 What is the greatest common divisor of 1578053 and 23? 23 Calculate the greatest common factor of 2072 and 56. 56 Calculate the highest common divisor of 11752 and 3277. 113 What is the greatest common factor of 40 and 16680? 40 What is the highest common divisor of 2770 and 134345? 1385 What is the highest common factor of 314 and 38? 2 What is the highest common divisor of 600425 and 135415? 2555 Calculate the highest common factor of 84 and 114597. 21 Calculate the highest common factor of 4053256 and 824. 824 Calculate the greatest common factor of 1785 and 79611. 357 Calculate the greatest common divisor of 314699 and 17688. 737 What is the highest common divisor of 10644 and 36? 12 Calculate the greatest common divisor of 3475 and 551830. 695 Calculate the greatest common divisor of 133824 and 3536. 272 What is the greatest common divisor of 634 and 332533? 317 What is the highest common divisor of 4146 and 2505566? 1382 What is the greatest common factor of 1147 and 9472? 37 What is the highest common factor of 10284 and 768? 12 What is the greatest common factor of 1050 and 12789? 21 Calculate the highest common factor of 174267 and 1407. 201 What is the highest common divisor of 1325180 and 6511? 383 What is the greatest common factor of 64 and 41536? 64 Calculate the greatest common factor of 31901 and 342. 19 Calculate the highest common divisor of 66 and 360129. 33 Calculate the highest common factor of 3111 and 33. 3 Calculate the greatest common factor of 236370 and 30. 30 What is the greatest common divisor of 2455 and 160? 5 What is the highest common factor of 433905 and 555? 15 Calculate the highest common factor of 576 and 2547. 9 What is the highest common factor of 7426 and 31126? 158 What is the highest common factor of 2529 and 639? 9 Calculate the highest common divisor of 326 and 1694222. 326 What is the highest common divisor of 37050 and 550? 50 What is the greatest common divisor of 50 and 251050? 50 What is the greatest common divisor of 36985 and 3983? 569 What is the highest common divisor of 11178 and 1134? 162 What is the highest common divisor of 2304549 and 117? 117 Calculate the highest common factor of 51805 and 65. 65 What is the greatest common divisor of 5176 and 2171979? 647 What is the highest common divisor of 3672 and 28696? 136 What is the highest common factor of 3396 and 12? 12 Calculate the greatest common factor of 22 and 57321. 11 Calculate the greatest common divisor of 20 and 309380. 20 What is the greatest common factor of 246780 and 5040? 180 What is the highest common factor of 6 and 245388? 6 What is the greatest common divisor of 575 and 25093? 23 What is the greatest common factor of 5255 and 594866? 1051 Calculate the highest common factor of 320 and 13360. 80 Calculate the highest common divisor of 177764 and 8. 4 What is the greatest common divisor of 19315 and 160? 5 What is the highest common divisor of 362 and 819025? 181 Calculate the highest com
{ "pile_set_name": "DM Mathematics" }
63 and x. 9 Suppose 103 + 1193 = 57*t - 3*t. What is the greatest common factor of t and 5556? 12 Let d(a) = 63*a + 603. Let u be d(-6). Calculate the greatest common factor of 99 and u. 9 Let h be ((-704)/(-2) - -2)/1. Let i be (h/(-36))/(4/(-24)). Let c = 72 - i. What is the highest common divisor of 221 and c? 13 Let w = -599 + 479. Let l be w/(156/13)*(0 - 12). Calculate the greatest common divisor of 105 and l. 15 Suppose 227 = 6*x - 5*x + 3*z, 5*z + 908 = 4*x. Suppose -270 = -3*u - 2*r, -5*r = 2*u + 47 - x. What is the greatest common divisor of u and 10? 10 Let f be 26/(572/462) - -4434. What is the greatest common divisor of f and 550? 55 Let h = 97164 + -96891. Let z(l) = -l**2 + 12*l + 7. Let v be z(7). Calculate the highest common factor of v and h. 21 Let a(t) = -t**3 - 6*t**2 + 13*t - 5. Let o be a(-8). Suppose 5*r - 16 = o. Suppose 108 = r*q - q. Calculate the highest common divisor of 1 and q. 1 Suppose 10 = -3*a + 28. Let k(c) be the second derivative of -c**4/4 - c**3/6 + 6*c**2 - 43*c. Let q be k(0). Calculate the greatest common factor of q and a. 6 Suppose -7*a - 6*a + 78 = 0. Let h be (-128)/a*(5 + -17). What is the highest common divisor of 320 and h? 64 Let v(f) = -10*f - 8. Let j(w) = -w - 1. Let g(c) = -14*j(c) + 2*v(c). Let m be g(-6). Calculate the greatest common divisor of 102 and m. 34 Suppose 38110 = 171*g + 130*g - 95*g. Calculate the highest common divisor of 629 and g. 37 Let j be -1 - (-2 - (-10 + 7)). Let n be j + 3 + -2 + 448/8. What is the highest common divisor of n and 22? 11 Suppose 4*u + p - 38 = 44, -3*u + 4*p + 52 = 0. Suppose -s + 40 = 5*y, -4*y - 275 = -2*s - 223. Calculate the highest common divisor of s and u. 10 Let x(p) = 2249*p - 13478. Let d be x(6). Let k = 25 - 13. What is the greatest common divisor of d and k? 4 Let q be ((-18)/(-56)*7)/(2/8). Let b(j) = 2*j + 1. Let o be b(7). Calculate the greatest common factor of o and q. 3 Suppose -10*w - 16*w = 3*w - 30160. Calculate the highest common factor of 70 and w. 10 Suppose -4*a + 156 = y, -108*a = -105*a - 5*y - 140. What is the highest common divisor of a and 95? 5 Suppose -95 = 3*u - 2. Let w(h) = h**3 + 33*h**2 + 62*h + 9. Let q be w(u). Calculate the highest common divisor of 39 and q. 3 Let x be -20*((-6)/(-1) - 60974/172). Calculate the greatest common factor of 170 and x. 170 Suppose 2*u = -3*i - u + 168, -3*u + 280 = 5*i. Let n = 97 + -57. Calculate the highest common factor of i and n. 8 Suppose -a + 3*r = -76, -2*a = -0*a - 2*r - 136. Suppose -8*v - a = -12*v. What is the highest common factor of 944 and v? 16 Suppose -163 = -3*w - 43. Suppose -1 = -2*s - 7. Let r be (w/4 + s)*2. What is the highest common divisor of r and 35? 7 Suppose -2*t = 4*f - 786, f + 1477 = 3*t + 298. Let z = -381 + t. What is the greatest common factor of z and 28? 4 Let w be (-7)/(-21)*18/(-8)*-24. Let m = -99 + 274. Suppose -23*g + m = -w*g. What is the greatest common factor of 5 and g? 5 Suppose -o = -0*g - 3*g - 687, 4*o = 3*g + 687. Let a = -184 - g. What is the greatest common factor of a and 5? 5 Let z be (-132)/(-18) - (-4)/6. Let t = -58 + 61. Suppose 4 = x + t*q - 21, 2*q + 10 = 0. Calculate the highest common divisor of x and z. 8 Let z be 1/1 - -1 - -16. Let u(t) = -t**3 + 10*t**2 + 14*t - 4. Let q be u(9). Let w = q + -197. Calculate the highest common factor of z and w. 6 Let b(a) be the third derivative of a**6/120 - 7*a**5/30 + a**4/2 - 21*a**3/2 + 6*a**2. Let s be b(15). What is the highest common factor of 36 and s? 18 Let q(y) = -y**2 + y - 2. Let p be q(2). Let i be (-72)/45*-11 - p/10. What is the greatest common factor of i and 243? 9 Suppose 0 = v + 1, 23*i + 4*v + 544 = 27*i. What is the greatest common factor of 1305 and i? 45 Let i = 35531 - 20351. Calculate the greatest common divisor of 99 and i. 33 Let i be (-29 + (-1116)/(-24))*3/10*92. Calculate the highest common factor of i and 42. 21 Let j(l) be the second derivative of l**4/12 + 35*l**3/6 - 60*l**2 + 247*l. Let p be j(-41). What is the highest common factor of p and 63? 63 Suppose 0 = -w - 3*w - 16, -5*w + 5704 = 9*i. Calculate the highest common divisor of 108 and i. 12 Suppose 3*v = 185 - 128. Let j be 38/(-1)*(-17)/34. What is the greatest common divisor of j and v? 19 Let z = 6004 + -5993. What is the greatest common divisor of 6688 and z? 11 Suppose 0 = -0*g - g + 17. Let s be 4460/340 - 2/g. What is the greatest common divisor of s and 52? 13 Let x be 687/(-3) - (-2 - -4). Let c = -150 - x. What is the highest common divisor of 3 and c? 3 Suppose 13*l = -9*l + 14212. Calculate the greatest common factor of 190 and l. 38 Let w(i) = 28*i - 78. Let x be w(13). Let c be 2094/48 - 6/(-16). Calculate the highest common divisor of c and x. 22 Suppose -5*l = 54 - 39. Let f be 21 - (l/1 - (0 - 6)). Calculate the greatest common divisor of 144 and f. 18 Let o(x) = x**3 - 10*x**2 + 15*x + 10. Let g be o(8). Suppose 868 = g*f - 2*r + 6*r, -4*f = -5*r - 1736. Calculate the greatest common factor of f and 14. 14 Let i be ((-2499)/98)/((-3)/32*2). Let k = -117 + i. What is the highest common divisor of k and 4? 1 Let z(h) = 90 + 14*h - h + 2*h. Let c be z(8). What is the greatest common factor of 30 and c? 30 Suppose -169 = -5*w - 6*t, -w + 35*t - 33*t = -37. Calculate the greatest common divisor of 2996 and w. 7 Let y = 172 + -174. Let r be y + 564 - 7/1. What is the greatest common factor of 15 and r? 15 Let b be 489/15 + 1197/(-1995). Let t = -4 + 20. Calculate the greatest common divisor of b and t. 16 Suppose -28*d = -6095 - 2193. Let x = 301 - d. Calculate the greatest common divisor of 135 and x. 5 Let u(l) = -l**2 - 8*l - 10. Let x be u(-6). Suppose -4*v - i = -14, -2*v + 9*i = 6*i. Calculate the greatest common factor of v and x. 1 Suppose -1649 = 6*p - 1637. Let i be 414*(5/p - 8/(-2)). What is the highest common factor of 138 and i? 69 Let m(l) = -l**2 + 7*l + 15. Let q be m(-5). Let x = q + 50. Calculate the highest common divisor of x and 15. 5 Let r(z) = -525*z**3 + 6*z**2 + 4*z - 1. Let v be r(-1). Let u = -480 + v. Calculate the greatest common divisor of u and 23. 23 Let m be 2/6*4 - (2 - (-366)/(-9)). What is the highest common factor of m and 672? 8 Let w(r) = r**3 - r**2 - 22*r + 1. Let y be w(9). What is the highest common divisor of y and 22? 11 Let i(x) = -6*x**3 - 4*x**2 - 6*x - 30. Let f be i(-2). Calculate the highest common divisor of f and 1778. 14 Let p = 334 + -346. Let n be (-168)/(4*6/p). Suppose 0*a - 508 = -4*k + a, -3*a = 4*k - 492. Calculate the greatest common divisor of k and n. 42 Let s be 1*13 + 89782/242. What is the highest common divisor of s and 12? 12 Let k(r) = -124*r + 92. Let b be k(-42). What is the highest common divisor of 140 and b? 20 Let k(d) = 35*d**3 + 8*d**2 - 18*d + 4. Suppose 0 = 105*s - 116*s + 22. Let c be k(s). What is the highest common factor of c and 42? 14 Suppose 2*l + k = 1, -4*l = -k - 5 - 0. Let j be l/(5/2950) - -3. Suppose -61 = 14*v - j. Calculate the highest common divisor of 57 and v. 19 Suppose -4*s + 261 = 2*z - 2289, 4*s = -z + 2555. Suppose 6*l + 112 = s. Calculate the highest common factor of l and 8. 8 Let u = -3229 - -3449. Calculate the highest common divisor of u and 10. 10 Let u = -1285 + 1430. Calculate the greatest common divisor of 3509 and u. 29 Let c be -62*(1/(-2) + 0). Suppose 0 = -70*n + 4855 - 515. Calculate the greatest common factor of c and n. 31 Let s(w) = -7*w**2 + 370*w + 122. Let k be s(46). What is the highest common factor of 10 and k? 10 Let a = -15807 + 16137. What is the highest common factor of a and 2130? 30 Let x be 4 + (-6 + -2)*-1. Let a be x/78 - (-362)/13. What is the greatest common divisor of a and 64? 4 Let x(a) be the second derivative of -7/2*a**2 + 1/3*a**3 + 0 + 1/4*a**4 - 10*a. Let i be x(-3). Calculate the highest common factor of i and 42. 14 Let a be (-11 + 8 - -4)*(2 + 9). Let d(f) = -f**2 + 15*f - 9. Let l be d(a). What is the highest common divisor of l and 805? 35 Suppose -r = -2*k - 4795 + 15263, -8 = r. What is the greatest common factor of k and 10? 10 Let u = -1016 + 660. Let w = -340 - u. What is the highest common divisor of w and 400? 16 Let j(w) = 162*w**3 + w**2 + w - 3. Let b be j(1). Suppose -162*l + 36 = -b*l. What is the greatest comm
{ "pile_set_name": "DM Mathematics" }
= 5*g + 55*g + 2*c + 13, -70 = 4*g - 3*c for g. -1 Solve -18*n + 2*l + 268 = 0, 20 = 4*n + 20113*l - 20153*l for n. 15 Solve 39*q + 2*s - 111 = 0, 88 + 77 - 153 = -4*s for q. 3 Solve -5*d - 29*i - 126 = 64*i - 78, 38 = 4*d - 2*i for d. 9 Solve -83*y + 92 = -78*y + 9*w, 0 = y + 2*w - 6 - 13 for y. 13 Solve -5*v = -10*b + 160, 0 = 10*v + 2*b - 6*b - 5*b + 122 for v. 4 Solve -50332 = -2*k - 5*z - 50336, -4*k = 6*z + 16 for k. -7 Solve -10*z - 4*p = 24, 43 - 22 = 5*z + 2*z - 3*p + 32 for z. -2 Solve -4*f - 3*z = -102, -4*f + 2*z - 15918 = -16030 for f. 27 Solve -9*l - 171 = 2*l - 4*p, -5 = -44*l + 41*l + 5*p - 36 for l. -17 Solve 40*v - 34*q = 45*v - 37*q - 97, 10*v - 2*q - 101 - 77 = 0 for v. 17 Solve -2*z = -5*r - 35, 5*r + 47 = 4*z + 2 for r. -5 Solve -5*z - i = 36 - 66, -100 = -5*i for z. 2 Solve 5*z = -3*b + 34388 - 17209 - 17231, 0 = b - z - 12 for b. 1 Solve -232*p - 38 = -4*h - 243*p + 19 - 16, 2*p - 12 = -3*h for h. 2 Solve 8*n = 2*o + 96, -4*n = 4*o + 215 + 4 + 53 for o. -64 Solve -4*b + 43 = -o, -16*b - 11*b + 5*o + 45 = -3*b - 210 for b. 10 Solve 7*q + 35 = -5*d - 9*d + 19*d, -5*d = -35 for q. 0 Solve 5*t - y = -35, t + t + 3*y = 6*t + 81 - 64 for t. -8 Solve -25*s + 29*s - 16 - 36 = 4*z, 4*s - 40 = 0 for z. -3 Solve -5*q - 46*c = 3*c + 9*c + 212, 2671*q = 2675*q + 4*c for q. 4 Solve 11*y + 72 = 2*k, -4*y - 1162 = -23*k - 824 for k. 14 Solve 7296 = 11*a - s + 7201, 7*a - 3*s - 155 = 0 for a. 5 Solve 55*f - 2*d = -90, 5*d + 33 = f - f - 4*f - 25 for f. -2 Solve -4*b - 54 - 72 = -p, -10*b = -5*b + 16*p + 192 for b. -32 Solve -5*f - 3*u = -45, 0 = 3*f - 4*u - 364744 + 364746 for f. 6 Solve 26 = 3*v + 5*b, -825131*v + 825127*v + 50 = -b for v. 12 Solve 32003178*j = 32003181*j - 5*r + 40, -j - 3*r = -38 for j. 5 Solve 6*g - 1230 = -54*b, -2747*g - 5*b + 123 = -2751*g for g. -2 Solve -2*j = -6*w - 3*j - 112, 30751*w + 4*j - 74 = 30756*w for w. -18 Solve -16 = -66526*o + 66530*o + 6*m, 5*m = 3*o + 3 - 16 - 13 for o. 2 Solve -4*l - 3*y = 37, -1725*l + 1720*l - 38 = y for l. -7 Solve 2*h + 2*h + 20 = 2*s + 6, 0 = s - 23*h + 187*h + 159 for s. 5 Solve 351*s - 355*s - 5*u + 17 = 0, -62*s - 139 = -3*u for s. -2 Solve 2*r - 2*g + 162694 = 162764, 0 = -2*r - 2*g - 78 for r. -2 Solve -w = -8*r + 62, -676*r = -337*r - 336*r + 4*w + 178 for r. 2 Solve -5*z + 9*z + 74 = -3*i, 0*i - 108 = 4*i - 4*z for i. -26 Solve -4*z - 74*p - 208 = 89*p + 929, 5*z + 3*p = -9 - 7 for z. 1 Solve m - 41 = 5*k, 17*m - 63860 = 4*k - 63811 for k. -8 Solve 1063*s - 532*s = -26*t + 530*s - 54, 5*t + 5*s = -145 for t. -1 Solve 4*q + 49*m = -2*q, -10*m - 5*m + 16*m = -q + 3*m for q. 0 Solve 321*h = 318*h - 15, 4*h - 50 = 5*b + 3*h for b. -11 Solve -6*g + 4*i = 76, 11*i - 32*i - 21 = g - 13*i - 7*i for g. -16 Solve 3*m = -m - 12*s + 216, -m + 6*s - s - 10*s + 92 = 0 for m. -3 Solve 0*u - 3*v + 37 = -5*u, 7*v - 259 + 138 = 3*u for u. 4 Solve 0 = -2*t + 4*h + 32, -h + 33 = t + 2*h + 37 + 20 for t. 0 Solve 2*q + 119 - 32 = -7*w, -4*q = -7*w + 3*w + 228 for q. -54 Solve -a + 1 + 2 = 0, -17*k + 2*a - 180 = 7*k + 6*a + 312 for k. -21 Solve -122*n + 24 = -3*g - 129*n, -2*n + 8*n + 20 = -2*g for g. -1 Solve -39*d = 2*w - 32, 2*w + 3*d = 52140 - 52108 for w. 16 Solve -7*s - 6 + 5 = -4*v - v + 14, s - 7 = -934*v + 937*v for v. -4 Solve -126077*b = -126071*b + 42, 5*b + 19 = 4*z for z. -4 Solve -3*y + 44 = 11*y + 10*y - 6*y - q + 3*q, -4*y + q + 17 = 0 for y. 3 Solve 36 + 40 = -19*t - a, 3*t + 5*a + 139 = -57 for t. -2 Solve -6*x + 7*x + 173 = -3*f - 13*x, 5*f - 54 = 3*x for f. 3 Solve 0 = 4*u - 20, -10*f + 5712*u = 5715*u + 455 for f. -47 Solve 0 = -4*p + 4*t + 84, 0 = -p - 5*t + 32818 - 32929 for p. -1 Solve 20*z + 9*z - 228 - 662 = 4*n, -45 = 3*n - z for n. -5 Solve -4370*l + 8712*l - 4337*l - 40 = -h - 2*h, 9*h - 2*l = 2*l + 25 for h. 5 Solve -3*i + 2*h = -7, 1331*i - 1333*i - h = -7 for i. 3 Solve 3*j - 3*z - 3 = 0, 144*z - 36 = -3*j + 67*z + 69*z for j. 4 Solve 4*k = -4*g + 64, -12491*k + g = -12493*k + 37 for k. 21 Solve -4*t + 54 = -4*j + 22, -5*j = -6*t + 2*t + 31 for j. 1 Solve 6*y = 17*v - 16, -4283 = 5*y + 4*v - 4306 for y. 3 Solve -c + 2*j = -0*j + 15, -6*c + 21*c - j = -80 for c. -5 Solve -5 = 5*n + 144*t - 149*t, 0*t - 9 = n - 2*t - t for n. 3 Solve w = -2*r + 45, -787*r - 3*w = -764*r - 526 for r. 23 Solve 1 - 3 = 4*x + 2*q, -3*q + 104 = 44*x + 107 for x. 0 Solve 8*i - 9*o + 10*o + 355 = 3*i, -53*i + 9*o = 3665 for i. -70 Solve -54 = -18*d, -12*d - 33 = 3*f - 15*d for f. -8 Solve 5*g + 5*s - 184 = 45 - 19, 187*s + 50 = -5*g + 2*g + 188*s for g. -2 Solve -4*u - 4*o = 0, -u + 640*o - 1388*o = -2241 for u. -3 Solve -3*c = 4*z - 128, -4*c + 407*z - 412*z = -169 for c. 36 Solve -2*i - 70*d = 488, 410*i + 26 = 415*i - 3*d for i. 1 Solve 20 = 4*b - 2*c, 0 = 2*c - 19798 + 19830 for b. -3 Solve -3*a + 38 = 68*i - 138*i + 66*i, -3*i + 1099 = 4*a + 1115 for i. -8 Solve 290 = -12*k + 520 - 326, 4*q + 3*k - 25 = -3*q for q. 7 Solve 9*n + 166 = d, 35*n + 62*n + 106 = 92*n + 4*d for n. -18 Solve -252 = y - 79*f, -72 = 141*y - 137*y - 4*f for y. -15 Solve 5*r - 2*p + 55 = 0, -2*r - 19*p = -7*p + 22 for r. -11 Solve 9*s - 2*a = 53, s + 2*s + 52559 = -4*a + 52600 for s. 7 Solve 4*f = 2*i + 68, -3*f = 458666*i - 458668*i - 52 for f. 16 Solve 5*w - 37 = -4*q, 5*q - 179*w = -183*w + 35 for q. 3 Solve 0*h - 4*h + z = -7, 0 = 9*z - 7*z + 14 for h. 0 Solve -y + 2917 - 2935 = -3*v, 99*y - 5*v + 322 = 0 for y. -3 Solve 5*v = h - 17, 19*v + 7848 = 4*h + 7783 for v. -3 Solve -16179*i + 16183*i = -j - 52, 2*i = -6*j - 4 for i. -14 Solve -753*n - 752*n = -1502*n + d + 22, 21 = -3*d for n. -5 Solve -374*w - 2*r + 1128 = 0, -1095*w + 1090*w + r = -12 for w. 3 Solve 6*c - 5*t = -17, -302*t - 23 = 4*c + 303*t - 606*t for c. -7 Solve -5364*z + 5346*z - 532 = 6*g - 2*g, 2*z + 50 = -5*g for g. 2 Solve 0 = -5*y + 5*l - 100, -5*y - 3*l = -10*y - 40 - 52 for y. -16 Solve 5*c - 18 = 5*z - 143, 2*z + 3295*c - 30 = 3292*c for z. 21 Solve d - 115 = 11*j, -5*d - 710 = 2*j - 715 for j. -10 Solve -6*p - 4*k = 346, 110*p + 4*k - 4*k - 5*k + 836 = 96*p for p. -59 Solve -7923*m + 3961*m = -3966*m - r - 15 + 51, 80 = 4*r for m. 4 Solve 2721 = 5*g - 11*t + 2729, 0 = 4*g + t + 26 for g. -6 Solve -8*m - 5*v - 78 = 0, -65*m - 4*v = -64*m + 84 for m. 4 Solve -2*z + 113*i + 200 + 18 + 234 = 0, 4*z - 5 = -2*i - 13 for z. 0 Solve 3*v + i + 445 - 910 = -445, -i + 24 = 4*v for v. 4 Solve 0 = 6*i - 2*a - 10, 0 = -3*i + 5*a + 1769 - 1780 for i. 3 Solve 2755 - 2693 = -2*i - 3*d, 455 = -5*i - 20*d for i. 5 Solve 70 = 5*z, -75*u + z + 5*z + 0*z + 48 + 121 = 2*z for u. 3 Solve -4*z - 63 = -p, -255*p - 252*p - 250*p + 5*z = -760*p - 66 for p. 3 Solve v + 6 + 2 = 25*p, 11*v - 6*v = 4*p - 161 for v. -33 Solve -2*y = 7*o - 40, 0*y + 89 = 14*o + 5*y - 39 + 14 for o. -4 Solve 0 = -2*z - 4*j + 2, 544*z = 540*z - 3*j - 6 for z. -3 Solve -4*i - 9 + 47 = -7*o + 2*o + 8 - 16, 0 = -14*o + 3*i - 96 for o. -6 Solve -4991*t + 4988*t = s - 52, -4*s + 47 = 3*t + 10 for t. 19 Solve 3 = 2*c + d - 25, -31*d + 349 = -5*c - 12*d - 11 for c. 4 Solve u - 2 = 3*d + 2*d - 49 + 4, -5*d + 363*u = -6559 for d. 5 Solve 3552*y - 4*c = 3483*y - 114, 8*c = 2*y - 5*c - 74 for y. -2 Solve 3*o + 39*x = -57, 4*o - 7660 + 7683 = x for o. -6 Solve h + 15 = 43*i + 32*i - 70*i - 18, 6*h - i - 5 = 0 for h. 2 Solve 1257*w + 5*p + 48 = 664*w + 596*w, -7*p = 2*w + 92 for w. -4 Solve 0 = 2*r - 7*h - 21, -4*r - h - 1642745 + 1642772 = 0 for r. 7 Solve -72542*g + 72543*g = 5*p + 105, 2*g - 42 = 2*p for p. -21 Solve -2*u - 6 = -2*u - 5*r - 1, -5*u - 74 = 2*r - 6*r for u. -14 Solve -5*k = r + 140, -9572*r + 56 = -2*k - 9576*r for k. -28 Solve 4*b = u + b + 17, 5937*u - 3*b + 37 = 5935*u for u. -20 Solve n - i = 11, 0*i - 11*i - 7 = -n - 9*i + 6 for n. 9 Solve 5*h = -3*p - 10989 + 11057, -4*h + 57 = 5*p for h. 13 Solve -16 = -2*r + 4*t, -14*t = -4523*r + 4526*r - 64 for r. 12 Solve 15 + 3 = 11*j + q, 870310*q - 30 = -j + 870311*q for j. 4 Solve -2*s + v = -27, 3757*s + 95 = 3764*s - 3*v for s. 14 Solve -643*d = -641*d - 4*x - 26, 9 = -3*x for d. 7 Solve x + 3114248 - 3114230 = -3*x + 2*o, 108 = -108*o for x. -5 Solve -4*h - 4*x = -72, -102*x + 4833 = h + 220*x for h. 3 Solve -158*b + 14*a - 565 = -161*b + 518, -393 = b - 5*a for b. -3 Solve 3*p - 67284629*g + 12 = -67284632*g, -2*p -
{ "pile_set_name": "DM Mathematics" }
integer? 37 What is 888621 to the power of 1/2, to the nearest integer? 943 What is the cube root of 291072 to the nearest integer? 66 What is the fifth root of 14103252 to the nearest integer? 27 What is 1617922 to the power of 1/6, to the nearest integer? 11 What is 1576421 to the power of 1/2, to the nearest integer? 1256 What is 561357 to the power of 1/2, to the nearest integer? 749 What is the cube root of 2097249 to the nearest integer? 128 What is the square root of 344397 to the nearest integer? 587 What is the third root of 296272 to the nearest integer? 67 What is the third root of 2109051 to the nearest integer? 128 What is the third root of 3646275 to the nearest integer? 154 What is the fourth root of 595681 to the nearest integer? 28 What is the square root of 1137297 to the nearest integer? 1066 What is the fourth root of 85888 to the nearest integer? 17 What is the square root of 36266 to the nearest integer? 190 What is 737087 to the power of 1/10, to the nearest integer? 4 What is the cube root of 15583393 to the nearest integer? 250 What is the square root of 1011693 to the nearest integer? 1006 What is the cube root of 3795540 to the nearest integer? 156 What is the square root of 867699 to the nearest integer? 932 What is the square root of 241764 to the nearest integer? 492 What is the third root of 138380 to the nearest integer? 52 What is 4390500 to the power of 1/5, to the nearest integer? 21 What is 8868897 to the power of 1/6, to the nearest integer? 14 What is 11865873 to the power of 1/7, to the nearest integer? 10 What is the third root of 9567880 to the nearest integer? 212 What is the ninth root of 265539 to the nearest integer? 4 What is 6618757 to the power of 1/2, to the nearest integer? 2573 What is the square root of 864317 to the nearest integer? 930 What is 123739 to the power of 1/10, to the nearest integer? 3 What is 431015 to the power of 1/2, to the nearest integer? 657 What is the square root of 1597758 to the nearest integer? 1264 What is 744522 to the power of 1/2, to the nearest integer? 863 What is the square root of 23853072 to the nearest integer? 4884 What is the ninth root of 34506143 to the nearest integer? 7 What is 131975 to the power of 1/2, to the nearest integer? 363 What is 5429883 to the power of 1/7, to the nearest integer? 9 What is 10289 to the power of 1/2, to the nearest integer? 101 What is the seventh root of 27170 to the nearest integer? 4 What is the fifth root of 12177664 to the nearest integer? 26 What is the ninth root of 64162 to the nearest integer? 3 What is the third root of 641968 to the nearest integer? 86 What is the square root of 1004589 to the nearest integer? 1002 What is the cube root of 938671 to the nearest integer? 98 What is the square root of 13177949 to the nearest integer? 3630 What is the third root of 1182515 to the nearest integer? 106 What is the cube root of 24864797 to the nearest integer? 292 What is 6279429 to the power of 1/10, to the nearest integer? 5 What is 524307 to the power of 1/8, to the nearest integer? 5 What is the cube root of 105026 to the nearest integer? 47 What is 3367634 to the power of 1/6, to the nearest integer? 12 What is 473110 to the power of 1/3, to the nearest integer? 78 What is 215748 to the power of 1/4, to the nearest integer? 22 What is 3782198 to the power of 1/2, to the nearest integer? 1945 What is 6318387 to the power of 1/2, to the nearest integer? 2514 What is 9633072 to the power of 1/5, to the nearest integer? 25 What is the square root of 417073 to the nearest integer? 646 What is the square root of 2933328 to the nearest integer? 1713 What is 367298 to the power of 1/2, to the nearest integer? 606 What is the cube root of 13469416 to the nearest integer? 238 What is 99224 to the power of 1/3, to the nearest integer? 46 What is 2734141 to the power of 1/2, to the nearest integer? 1654 What is the square root of 264146 to the nearest integer? 514 What is 36241662 to the power of 1/2, to the nearest integer? 6020 What is the sixth root of 464060 to the nearest integer? 9 What is 630279 to the power of 1/2, to the nearest integer? 794 What is 66471 to the power of 1/3, to the nearest integer? 41 What is 6478703 to the power of 1/2, to the nearest integer? 2545 What is 788371 to the power of 1/5, to the nearest integer? 15 What is 18894 to the power of 1/6, to the nearest integer? 5 What is the square root of 32679893 to the nearest integer? 5717 What is the third root of 343717 to the nearest integer? 70 What is the cube root of 4643347 to the nearest integer? 167 What is the square root of 68857 to the nearest integer? 262 What is the cube root of 38555042 to the nearest integer? 338 What is 3187088 to the power of 1/4, to the nearest integer? 42 What is 503712 to the power of 1/5, to the nearest integer? 14 What is the cube root of 230979 to the nearest integer? 61 What is 875636 to the power of 1/2, to the nearest integer? 936 What is the square root of 14887781 to the nearest integer? 3858 What is 1927962 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1505097 to the nearest integer? 115 What is the third root of 356495 to the nearest integer? 71 What is the cube root of 18813696 to the nearest integer? 266 What is the tenth root of 1109889 to the nearest integer? 4 What is the third root of 6059711 to the nearest integer? 182 What is the ninth root of 242104 to the nearest integer? 4 What is 140275 to the power of 1/5, to the nearest integer? 11 What is the seventh root of 418282 to the nearest integer? 6 What is the third root of 13291704 to the nearest integer? 237 What is the cube root of 3969797 to the nearest integer? 158 What is the cube root of 2956864 to the nearest integer? 144 What is 696201 to the power of 1/10, to the nearest integer? 4 What is the third root of 2480225 to the nearest integer? 135 What is the cube root of 42269 to the nearest integer? 35 What is the third root of 1588521 to the nearest integer? 117 What is the cube root of 2149783 to the nearest integer? 129 What is the tenth root of 8195029 to the nearest integer? 5 What is the fourth root of 542736 to the nearest integer? 27 What is the fifth root of 159548 to the nearest integer? 11 What is 3920666 to the power of 1/3, to the nearest integer? 158 What is the cube root of 222473 to the nearest integer? 61 What is the fifth root of 683837 to the nearest integer? 15 What is the third root of 3380407 to the nearest integer? 150 What is the tenth root of 11399922 to the nearest integer? 5 What is the cube root of 12863 to the nearest integer? 23 What is the cube root of 434531 to the nearest integer? 76 What is the square root of 4902506 to the nearest integer? 2214 What is 13545462 to the power of 1/7, to the nearest integer? 10 What is the fifth root of 787891 to the nearest integer? 15 What is the square root of 1486312 to the nearest integer? 1219 What is 5531611 to the power of 1/8, to the nearest integer? 7 What is the eighth root of 7249849 to the nearest integer? 7 What is 5858427 to the power of 1/5, to the nearest integer? 23 What is the third root of 39892283 to the nearest integer? 342 What is 762900 to the power of 1/2, to the nearest integer? 873 What is 1299334 to the power of 1/2, to the nearest integer? 1140 What is the sixth root of 1447033 to the nearest integer? 11 What is the cube root of 120508 to the nearest integer? 49 What is 4849459 to the power of 1/3, to the nearest integer? 169 What is 21641048 to the power of 1/2, to the nearest integer? 4652 What is 5206127 to the power of 1/5, to the nearest integer? 22 What is 309778 to the power of 1/9, to the nearest integer? 4 What is 18607219 to the power of 1/4, to the nearest integer? 66 What is the square root of 783100 to the nearest integer? 885 What is the square root of 288781 to the nearest integer? 537 What is the square root of 838995 to the nearest integer? 916 What is the third root of 5992049 to the nearest integer? 182 What is the fifth root of 4582645 to the nearest integer? 21 What is 11486738 to the power of 1/3, to the nearest integer? 226 What is 789860 to the power of 1/7, to the nearest integer? 7 What is 2
{ "pile_set_name": "DM Mathematics" }
= 1. Let n(v) = -v - 7. Let y(u) = f*n(u) - 6*r(u). What is y(3)? 4 Let d(o) = -3*o**3 - 4*o**2 + 35*o + 4. Let a = 17 - 13. Let u(s) = s**3 + s**2 - 12*s - 1. Let f(q) = a*d(q) + 11*u(q). Determine f(-6). -7 Let g(t) = 2*t**2 + t - 1. Suppose 3*q = 5*q - 2. Determine g(q). 2 Let h(i) = 4 + 43*i + 38*i - 82*i. Suppose -2*k - 8 = -0*k, -2*q = -5*k - 32. Determine h(q). -2 Let m(g) = g**2 - g + 1. Let n(b) = -2*b**2 + 8*b - 9. Let p(i) = -m(i) - n(i). Let c(t) = -t**3 + 6*t**2 + 7*t + 6. Let k be c(7). Determine p(k). 2 Let y be (16/10)/(12/(-30)). Let p(n) = -n - 4. Let g be p(-7). Let h(b) = -3*b**2 - 5 - g*b + 7*b - b**3 + 0*b**3. Give h(y). -5 Let i(u) = -u + 1. Let t(o) = -2*o**2 - 8*o - 7. Let c(s) = -3*i(s) - t(s). Let f(l) = -l**2 - 5*l - 2. Let k(m) = 2*c(m) + 5*f(m). Calculate k(-2). 0 Let y(n) = n**2 - 4. Suppose -5*l - 4*s = 18, 4*l = -3*s - 17 + 2. Let o = -6 - l. Calculate y(o). -4 Let l(u) = -u**2. Let x(g) = 2*g**2 + 8*g + 7. Let i be x(-5). Let b = 12 - 18. Let f(h) = -3*h**2 + h - 1. Let a(m) = b*f(m) + i*l(m). What is a(6)? 6 Let s(l) = l**2 - 10*l - 2. Suppose 5*g + 0*g = 50. Let d be s(g). Let a(o) = o**2 + 2*o + 3. Give a(d). 3 Suppose 0 = 3*l + 1 + 2. Let n(i) = -4*i + 1. Give n(l). 5 Let o(n) = -5*n + 1. Let w(x) = -x. Let l(g) = o(g) - 6*w(g). Suppose -4*k - 6*i + 13 = -3*i, 2*k - 2*i - 10 = 0. Determine l(k). 5 Let b(f) = 2*f**2 + 3*f + 6. Let s(o) = -3*o**2 - 5*o - 9. Let q(v) = 8*b(v) + 5*s(v). Determine q(0). 3 Suppose -5*i = 2*o + 10 - 30, 5*i - 4*o - 50 = 0. Let f(d) = d**2 - 9*d + 7. Calculate f(i). -11 Let v(n) be the second derivative of n**5/20 - 2*n**4/3 - n**3/6 - n**2/2 + 12*n. What is v(8)? -9 Let k(i) = -4*i**2 - 2. Let l(a) = -5*a**2 - 3. Let d(r) = -4*k(r) + 3*l(r). Determine d(-3). 8 Suppose -4*k - 18 = 3*f - 3*k, 4*f = 4*k - 24. Let z(b) = -b**2 - 6*b + 3. What is z(f)? 3 Let o(l) be the third derivative of 0*l - 1/3*l**3 - 1/30*l**5 + 1/24*l**4 + l**2 + 0. Suppose -d = -2 - 0. What is o(d)? -8 Let q(w) = 4*w. Suppose -s = 31 - 30. Determine q(s). -4 Let u(i) = -2*i**3 + i**2 + 2*i + 1. Let c be u(-1). Let q(o) = -o + 4*o - o - 2 + c*o. Give q(3). 10 Let i be (-10 + -2)/(2/(-2)). Let h be -5 + -4 + 4 + -2. Let g = h + i. Let z(q) = -q**2 + 7*q. What is z(g)? 10 Let f(i) be the first derivative of 3 + 0*i**2 - 1/24*i**5 + 0*i**4 - 1/360*i**6 + 0*i + 2/3*i**3. Let x(r) be the third derivative of f(r). What is x(-5)? 0 Let w(f) = f + 6. Let y = 21 + -19. Suppose -s = -y*s. What is w(s)? 6 Let d(m) = m**3 + 8*m**2 - 9*m + 6. Let g be d(-9). Let k(u) = u**3 - 7*u**2 + 4*u + 6. Determine k(g). -6 Let o(w) be the first derivative of -w**3/3 + 3*w**2 + 2*w - 2. Suppose -2*h + 25 = 3*h. Give o(h). 7 Let w(c) = 8*c**3 - c**2 + c. Suppose 9*v - 6 = 3. Give w(v). 8 Let m(q) be the first derivative of -q**4/12 - q**3 - 5*q**2/2 + 5*q - 1. Let o(y) be the first derivative of m(y). Determine o(-6). -5 Suppose 2*d + 10 = -0*d - i, d + 3*i = 0. Let f(m) = -6*m**3 - m**2 + 5*m + 11. Let q(s) = -s**3 + s**2 + s + 1. Let n(z) = -f(z) + 5*q(z). Give n(d). -6 Let j = 6 + -4. Let n(q) = -2*q**3 + 2*q**2 + q. Calculate n(j). -6 Let g(c) = c**3 + 4*c**2 + 3*c. Let n be g(-3). Suppose 3*x + 0 - 3 = n. Let l(b) = -2 + x + 2*b**2 + 0 - b. Determine l(-1). 2 Let d be (-4)/8 - (-6)/4. Let m(z) be the second derivative of -9*z**5/20 + z**4/6 - z**3/6 + z. Calculate m(d). -8 Suppose y + 4 = 3*x, -y + 5*y + 5*x = 18. Let c(s) = 6 - y*s + s - 4*s + 3*s. Let n(i) = i**2 - i - 1. Let a be n(3). Give c(a). -4 Let b(z) = -3*z + 27. Let i(j) = j - 9. Let d(h) = -4*b(h) - 11*i(h). Let f(n) = -n + 8. Let m(y) = 2*d(y) + 3*f(y). Give m(5). 1 Let m = -11 - -14. Let i(l) = 4*l**2 + l + l**2 + l**m - l**2 - 5. Give i(-4). -9 Let o(x) = -x - 4. Let z = 7 + -13. Let i be o(z). Let f(r) = -r**3 + 2*r + 1. Let p be f(i). Let t(k) = -k - 3. Calculate t(p). 0 Let s(j) = 3*j**2 + j - 2. Let f(t) = t**2 - 9*t - 12. Let c be f(10). Give s(c). 8 Suppose -69 = 6*h - 33. Let j(d) = d**2 + 8*d - 3. Give j(h). -15 Let q(n) be the third derivative of n**3 + 0*n + 0 + 1/3*n**4 - n**2 + 1/60*n**5. Calculate q(-6). -6 Let y(n) = 3*n**3 - n - 1. Let c be y(-1). Let d(r) = 3. Let g(q) = q + 15. Let v(m) = -5*d(m) + g(m). Determine v(c). -3 Let g(l) be the first derivative of -2*l**3/3 - l**2 - 2*l - 6. What is g(-2)? -6 Let l be (-1)/(-4) - (-4)/(-16). Suppose 7 = -v - l. Let p(k) = -k - 1. Calculate p(v). 6 Let m(x) = -x**2 - 1. Let c(i) = i - 2. Let r be c(7). Suppose r*z + 9 = 2*z. Calculate m(z). -10 Let f be (3/(-12)*0)/(-1). Suppose f*s = -3*s - 12. Let v(t) = -t**3 - 4*t**2 + t - 1. Give v(s). -5 Let b be 1 + 3 - 1 - 11. Let p be 1*b - 15/(-5). Let z(s) = -s**3 - 4*s**2 + 7*s + 1. Give z(p). -9 Let a(d) = d - 10. Let i(q) = -q**3 - 6*q**2 + 6*q + 2. Let f be i(-7). Let b be a(f). Let w(l) = l + 1. Give w(b). 0 Let f be 4/(-6)*3/1. Let w(k) = 3*k. Let b(s) = -3*s + 1. Let a(y) = -3*b(y) - 4*w(y). Give a(f). 3 Suppose h + 0*h - 16 = 0. Suppose -3*t = 5*z - 60 - h, 4*z = 3*t + 50. Suppose 3*r = z - 5, 5*s + r + 7 = 0. Let u(o) = -3*o**2 + 1. Calculate u(s). -11 Let o(q) = 2*q + 17. Let s(g) = g + 8. Let r(b) = -3*o(b) + 7*s(b). Let n = 5 + -1. What is r(n)? 9 Suppose 2*y = 4*y - 6. Let k(v) be the first derivative of -v**5/60 + v**4/8 + 2*v**3/3 + 1. Let z(b) be the third derivative of k(b). What is z(y)? -3 Suppose -2*h - 3*u + 11 + 2 = 0, -3*h = -u - 14. Let f(t) = -t**3 + 5*t**2 - 2*t - 4. Give f(h). -14 Let g(a) be the second derivative of -3*a - 1/12*a**4 - 3/2*a**2 + 0 + a**3. Let l be 38/9 - 4/18. What is g(l)? 5 Let w(l) = 4 + 6 - 16 - 4*l + 2*l. Let m = -6 - -8. Suppose h = 5*n + 18, 0*h - 4 = 2*n - m*h. Give w(n). 2 Suppose -4*j + 4*w = -20, -5*w + 15 = -3*j + 6*j. Let l(v) be the second derivative of -v**4/12 + 2*v**3/3 + 3*v**2/2 + 3*v. What is l(j)? -2 Let h(o) = -3*o + 7. Suppose -u = -5*u + 16. Suppose 0 = -4*k + 2*d + d + 29, 4*d = -u*k + 8. Determine h(k). -8 Let r(i) be the third derivative of -i**5/60 + 7*i**4/24 - 2*i**3/3 - 4*i**2. Calculate r(7). -4 Suppose -5*d + 4*m + 6 = m, 0 = -2*d - 5*m - 10. Suppose -1 = -5*t - 7*x + 3*x, 0 = 5*t + 2*x - 3. Let l = t + d. Let g(h) = 8*h - 1. Calculate g(l). 7 Let z = 2 + 1. Suppose 0 = r + 4*l + 17, 5*r = l - z*l + 5. Let j(n) be the third derivative of -n**5/60 + n**4/8 - n**3/2 - 2*n**2. Determine j(r). -3 Let l(a) = 0*a - 4 + 2*a - a. Let d = -15 - -15. Determine l(d). -4 Let f(i) = -13*i + 5. Let c(h) = h - 1. Let w(o) = -6*c(o) - f(o). Suppose -5*n - 12 = 13, n = -2*x - 1. Suppose j = 2*v - 4 + 7, -3*v - x = -4*j. What is w(j)? -6 Let n(r) = -4*r + 97. Let x be n(22). Let h(k) = -k + 2. Calculate h(x). -7 Let k(l) = l**2 + l. Let v(c) = -2*c**2 - c - 2. Suppose 0*n - 4*n = 5*w + 18, -5*w - 12 = n. Let t be 2/(4/w) - 0. Let h(y) = t*k(y) - v(y). What is h(0)? 2 Let g be (-146)/(-511) - (1 + (-12)/7). Let l(x) be the second derivative of x**4/3 + x**2/2 - 2*x. What is l(g)? 5 Let u(y) = 3 - 3*y**2 + y + 4*y**2 + 2*y. Let z be 3*1*12/(-9). What is u(z)? 7 Suppose 0 = -6*g + g + 25. Let p(r) = -g*r + 4*r - 2*r**2 + r**2. Let i(d) = d**2 - d - 1. Let k be i(0). Give p(k). 0 Let x(s) be the second derivative of -s**5/60 + s**4/24 + s**3/6 - 2*s. Let y(k) be the second derivative of x(k). Give y(-1). 3 Let z(j) = j - 69 - 57 + 120. What is z(-9)? -15 Let v = 3 + -1. Suppose -5*y - 9 = w, -y = -v*w - 0*y + 15. Let n(x) = x - 2. What is n(w)? 4 Suppose 3*s + 4*v + 3 = 0, -2*v + 6 = 4*s - 0. Suppose s = -3*x + 12. Suppose -7 = x*f - 1. Let k(h) = h + 4. Calculate k(f). 2 Let b(p) = 4*p + 43. Let z be b(-12). Let w(t) = t**2 + 2*t + 3. Give w(z). 18 Let m(w) = -2*w - 2. Suppose 4*b - 2*l - 26 = 0, -4 = 2*l - 2. Suppose 0 = -v - v + b. Give m(v). -8 Suppose -1 = d + 2. Let q = 5 + d. Let f(b) = 3*b + 4 - 7 + b + q. Determine f(3). 11 Let x = -2 - -3. Suppose -3*q + 4 = x. Let s(p) = -1 + 2 + p + q. Determine s(-2). 0 Let n(u) = -u**3 - 4*u**2 - 2*u - 1. Let k = -3 - -7. Let v(j) be the first derivative of -j**2/2 - 8. Let z be v(k). Give n(z). 7 Let d(p) be the first derivative of -p**2/2 - 6*p + 19. Give d(-6). 0 Let q(z) be the third derivative of 0*z + 4*z**2 + 1/24*z**4 + 1/10*z**5 + 1/120*z**6 + 0 + z**3. Give q(-6). 0 Let l = 1 + 4. Suppose 5 = -5*z - l*k - 5, 0 = 4*z + k + 17. Let t(r) = r**3 +
{ "pile_set_name": "DM Mathematics" }
? -448136 416230 divided by 1 416230 What is 579081 divided by -193027? -3 Calculate 109562 divided by 6. 54781/3 -86975 divided by 5 -17395 Calculate 6 divided by -5721. -2/1907 Divide -23 by -17049. 23/17049 Divide 62037 by -17. -62037/17 Calculate 120 divided by -2367. -40/789 Calculate 3002172 divided by -10646. -282 Calculate -301920 divided by -2. 150960 Calculate 1792 divided by -117. -1792/117 -25440 divided by 12720 -2 Divide -140 by 12. -35/3 Divide -6 by -3905. 6/3905 What is 524205 divided by -1765? -297 What is -450 divided by 602? -225/301 Divide 2 by 36163. 2/36163 -18757 divided by -1 18757 -6002 divided by -1041 6002/1041 Calculate -324222 divided by -108074. 3 Calculate -5719 divided by 206. -5719/206 What is -2 divided by 5132? -1/2566 Divide -82292 by -14. 5878 -846480 divided by 7054 -120 What is -159996 divided by -12? 13333 Divide 160 by -3342. -80/1671 -12080 divided by 6040 -2 Calculate 33 divided by -7945. -33/7945 -24 divided by -175268 6/43817 Divide -151167 by -2. 151167/2 What is 5256 divided by -18? -292 Divide 5 by -581554. -5/581554 11260 divided by -11260 -1 Calculate 146964 divided by 111. 1324 What is -5 divided by -961183? 5/961183 What is -39432 divided by -93? 424 Calculate 1352 divided by 623. 1352/623 What is -1460730 divided by 2001? -730 What is -5 divided by 120657? -5/120657 Divide 112540 by -10. -11254 Calculate 2896445 divided by -5. -579289 What is -209385 divided by -47? 4455 -1 divided by 12840 -1/12840 Calculate -2165176 divided by -4. 541294 248325 divided by 2 248325/2 What is -496080 divided by -2067? 240 Divide 2 by 25467. 2/25467 Calculate 2178810 divided by -1. -2178810 292218 divided by 97406 3 What is 2592 divided by -36? -72 What is 3 divided by 44231? 3/44231 What is -91140 divided by 294? -310 Calculate 0 divided by -14237. 0 -169 divided by 4749 -169/4749 Calculate -5 divided by -1002749. 5/1002749 What is 19 divided by 6602? 19/6602 What is 678 divided by 76? 339/38 What is 17800 divided by -6? -8900/3 What is 50115 divided by 3341? 15 Divide 118175 by -4075. -29 What is -438742 divided by -219371? 2 What is -7393696 divided by -1? 7393696 Calculate 176657 divided by -107. -1651 Calculate 173457 divided by 3. 57819 Calculate -1 divided by -5940. 1/5940 Calculate -3 divided by 222672. -1/74224 -19 divided by -219948 19/219948 What is -12 divided by 61543? -12/61543 33880 divided by -8 -4235 Calculate 0 divided by 345333. 0 What is 46200 divided by 165? 280 822 divided by -4566 -137/761 Divide -105146 by 4. -52573/2 Divide -5 by -7597. 5/7597 Calculate -183879 divided by -9. 20431 What is 159372 divided by 228? 699 Divide 137258 by 3. 137258/3 20530 divided by -5 -4106 49944 divided by -2 -24972 What is -10046112 divided by 4? -2511528 Calculate 84986 divided by 3. 84986/3 Calculate 21062 divided by 1. 21062 4 divided by -1293958 -2/646979 Calculate 543932 divided by -3. -543932/3 What is 2983745 divided by 5? 596749 What is -3219 divided by 84? -1073/28 -60 divided by 36323 -60/36323 Divide 0 by 234043. 0 What is -2463 divided by -4? 2463/4 What is -300156 divided by -25013? 12 Calculate -3170704 divided by -4. 792676 Divide 13494 by 1038. 13 What is 106875 divided by -5? -21375 Calculate 4 divided by 4037. 4/4037 30285 divided by -15 -2019 What is -4 divided by 1213? -4/1213 Divide 3390 by -12. -565/2 Calculate 343 divided by -144. -343/144 -1185940 divided by -602 1970 Divide 5085 by -5. -1017 Divide 175305 by 87. 2015 What is -9296 divided by 4? -2324 Calculate 24 divided by -546. -4/91 What is 345522 divided by 6? 57587 Calculate -35762 divided by 17881. -2 53 divided by 3595 53/3595 Divide -777003 by -777003. 1 Calculate -136010 divided by -14. 9715 Calculate 2 divided by 1050800. 1/525400 -859238 divided by 429619 -2 Divide -4 by 661660. -1/165415 What is -79 divided by -11604? 79/11604 -951308 divided by 412 -2309 Calculate 43040 divided by -4304. -10 -1583840 divided by -4 395960 Divide -850222 by -425111. 2 Calculate 4 divided by 24441. 4/24441 What is 1030464 divided by -12? -85872 Calculate -85 divided by -821. 85/821 -1416855 divided by -831 1705 -160076 divided by -3 160076/3 What is -365 divided by -302? 365/302 Calculate 4445 divided by 7. 635 What is 103659 divided by -14? -103659/14 Calculate 15659 divided by 7. 2237 What is 128024 divided by 32006? 4 What is 16768 divided by 8? 2096 15576 divided by 649 24 Divide 3 by 203690. 3/203690 What is 8613 divided by -13? -8613/13 -2 divided by 373773 -2/373773 What is 38844 divided by -13? -2988 Calculate -27066800 divided by -5. 5413360 5772 divided by 72 481/6 What is 627400 divided by -20? -31370 798 divided by -245 -114/35 Divide 235248 by 6. 39208 What is -266564 divided by 66641? -4 -155850 divided by 6 -25975 Divide 378290 by 15. 75658/3 -50 divided by -442 25/221 Divide 24975 by 5. 4995 Calculate -35378 divided by 133. -266 Divide -2 by 772235. -2/772235 Divide 302610 by 2882. 105 What is 41907 divided by -6? -13969/2 Calculate 1272394 divided by 41. 31034 What is -156 divided by 687? -52/229 What is -283592 divided by -70898? 4 Calculate -91720 divided by -4586. 20 30 divided by 100 3/10 Divide 661 by -114. -661/114 What is 1552 divided by 423? 1552/423 844967 divided by 3007 281 3 divided by 7140 1/2380 Divide 16657098 by 3. 5552366 Calculate 4950 divided by -30. -165 -75111 divided by -4 75111/4 What is -35 divided by -57095? 7/11419 What is -5 divided by 49460? -1/9892 What is -1 divided by 10140? -1/10140 Calculate 101850 divided by 33950. 3 Calculate 26618 divided by -2. -13309 -330 divided by 139 -330/139 Divide -129658 by -64829. 2 What is -120902 divided by 2? -60451 267901 divided by -6 -267901/6 What is -11802 divided by 6? -1967 0 divided by 132201 0 Calculate -3908 divided by -599. 3908/599 Calculate 586260 divided by 293130. 2 What is 57834 divided by 6426? 9 Calculate 2704 divided by -2. -1352 What is 3444 divided by -18? -574/3 Divide 3 by 12005. 3/12005 What is 13645 divided by 8? 13645/8 What is 104030 divided by 52015? 2 26046 divided by -8682 -3 72864 divided by -1518 -48 4 divided by -9006 -2/4503 Calculate -74619 divided by -8291. 9 What is 542 divided by -51? -542/51 Calculate 863602 divided by 1. 863602 Calculate -17587 divided by 1. -17587 What is -13066 divided by -1? 13066 Divide -483468 by 3. -161156 Calculate -4 divided by -10327. 4/10327 Calculate -17929 divided by 23. -17929/23 Divide -1 by 5720. -1/5720 5 divided by -720297 -5/720297 What is 197588 divided by -49397? -4 1618724 divided by -2 -809362 Calculate 0 divided by 447395. 0 -34001 divided by 4 -34001/4 Divide -32 by 30371. -32/30371 -61774 divided by -461 134 25857 divided by -17 -1521 Calculate -478760 divided by -20. 23938 Calculate -1358 divided by -41. 1358/41 1575938 divided by -182 -8659 Divide 35653 by 35653. 1 -116480 divided by 65 -1792 -709380 divided by 210 -3378 Calculate 2 divided by 427297. 2/427297 What is -646600 divided by 2? -323300 Calculate -194880 divided by 320. -609 What is 20376 divided by -8? -2547 What is -918884 divided by -17? 54052 -24090 divided by -15 1606 -13416 divided by -13 1032 Calculate -2 divided by 56208. -1/28104 453096 divided by -8091 -56 Calculate 991281 divided by -1. -991281 What is 48251 divided by -3? -48251/3 -29078 divided by -14539 2 Calculate 1227 divided by -1. -1227 Calculate -234123 divided by -3. 78041 What is -5 divided by 8715? -1/1743 Divide 2793 by 16. 2793/16 What is 1368318 divided by 2? 684159 What is 518268 divided by 172756? 3 Calculate 4226 divided by -56. -2113/28 Calculate 32928 divided by -2744. -12 What is 1 divided by -1489859? -1/1489859 Calculate 48314 divided by 833. 58 -24388020 divided by -5 4877604 Divide -4 by 232521. -4/232521 -282 divided by 6463 -282/6463 What is 2689032 divided by 6? 448172 What is -2464 divided by 1? -2464 515 divided by -125 -103/25 6617 divided by -1 -6617 What is 690096 divided by 6? 115016 -299166 divided by -99722 3 Calculate -35527 divided by -60. 35527/60 What is 570 divided by 377? 570/377 What is -5 divided by 410? -1/82 What is -15715 divided by 34? -15715/34 What is 5124 divided by -6? -854 Divide 5 by 5209. 5/5209 Divide -229152 by -9548. 24 What is -1202634 divided by -6? 200439 Divide -63681 by -112. 63681/11
{ "pile_set_name": "DM Mathematics" }
derivative of f(r) wrt r? -3158 Suppose 0*j = 3*j + 5*b + 13, -5*b = -5*j + 45. What is the first derivative of 6 - 40*h**3 - 9 - 89 + 12*h**j + 37*h**3 wrt h? 48*h**3 - 9*h**2 Let c(z) be the third derivative of -z**6/120 + z**5/10 - z**4/8 + z**3/3 + 12*z**2. Let s be c(5). Find the first derivative of -6*y - s*y + 6*y + 3 wrt y. -12 Let b(v) be the third derivative of -107*v**7/42 - 629*v**5/60 + 490*v**2 - 2. Find the third derivative of b(r) wrt r. -12840*r Let l(s) = -4*s - 8*s - 7*s + 17*s - 22. Let j be l(-12). Find the third derivative of -13*u**j - 22*u**4 + 6*u**4 + 13*u**4 wrt u. -72*u Suppose 2*s = 0, -s + 5*s = r - 2038. What is the second derivative of -2 + 3 - 34*h**5 + r*h - 2055*h wrt h? -680*h**3 Suppose 5*u = -5*v - 25, -3*v + 5 = 4*u + 25. Suppose 3*a - 4 - 2 = v. What is the derivative of 9*s**2 - 16 - 9*s**a + 16*s**4 + 0 wrt s? 64*s**3 Let h(l) be the first derivative of -4347*l**2 + 6815*l - 13080. What is the derivative of h(w) wrt w? -8694 Let z(v) be the third derivative of 79*v**7/42 + 77*v**4/6 - v**3/6 - 130*v**2. What is the second derivative of z(c) wrt c? 4740*c**2 What is the derivative of 1582*o**2 - 154*o**2 + 426 + 750*o**2 - 111*o**2 wrt o? 4134*o Let v(t) be the second derivative of 335*t**6/6 - 1507*t**2/2 + 3*t - 42. Differentiate v(d) with respect to d. 6700*d**3 Let w(t) be the third derivative of -1117*t**4/24 - 161*t**3/2 + 32*t**2. What is the derivative of w(o) wrt o? -1117 Let q(x) be the second derivative of 0 + 0*x**4 + 9/20*x**5 + 243*x + 0*x**2 - 63/2*x**3. What is the second derivative of q(y) wrt y? 54*y Let g(r) be the second derivative of 0*r**5 + 0*r**2 + 56*r - 47/4*r**4 + 0 - 11/6*r**6 + 0*r**3. Find the third derivative of g(p) wrt p. -1320*p Find the second derivative of -8620*h**3 + 342 + 14*h**5 + 5*h + 4317*h**3 + 4295*h**3 - 4*h**4 wrt h. 280*h**3 - 48*h**2 - 48*h Let q = -11 - -83. Find the second derivative of 13*y - 24*y + q*y**2 - 32*y wrt y. 144 Let o(i) = -1031*i**2 + 167*i + 50. Let c(b) = -b**2 - 5. Let f(n) = 10*c(n) + o(n). Find the second derivative of f(u) wrt u. -2082 Let h(u) be the first derivative of -245*u**2 + 3829*u - 1533. What is the first derivative of h(g) wrt g? -490 Let o(x) = 6*x + 5. Let d(n) = -340*n + 371. Let q(g) = d(g) + 6*o(g). What is the first derivative of q(v) wrt v? -304 Let t(v) = 0*v - 8*v + 3*v - v. Let o be t(-2). Find the third derivative of -4 - 3*r**2 - o*r**3 + 4 + 20*r**2 wrt r. -72 What is the third derivative of -15154*n + 30013*n + 165*n**3 - 15351*n - 8*n**2 wrt n? 990 Let n(a) = 269*a**3 + 3510*a**2 - 10*a + 5. Let u(o) = 269*o**3 + 3505*o**2 - 12*o + 6. Let p(r) = -6*n(r) + 5*u(r). Find the third derivative of p(q) wrt q. -1614 Let f(m) be the first derivative of -23*m**6/360 - 7*m**4/6 + 11*m**3 - 50. Let y(o) be the third derivative of f(o). What is the derivative of y(z) wrt z? -46*z Let b(v) be the first derivative of 1026*v**2 + 1018*v - 2352. What is the first derivative of b(f) wrt f? 2052 Let r(x) = -3*x**2 + 5*x**3 - 3*x**3 - 6*x**3 + 1. Let y be r(-1). What is the first derivative of q**2 - 15 + 0*q**2 + 4*q**2 + y*q**2 wrt q? 14*q Let t = 374 + -230. Suppose -5*d + 61 = -t. Find the second derivative of -9*j - 20*j**3 + 27*j**3 - d*j**3 wrt j. -204*j Let z(y) = -y**3 - 16*y**2 - 31*y - 33. Let s be z(-14). Differentiate 8*q - 80 + 9*q + s*q with respect to q. 26 Let w(y) be the first derivative of 7*y**5/10 - 14*y**2 + 66*y - 12. Let a(p) be the first derivative of w(p). Differentiate a(l) wrt l. 42*l**2 Suppose 12*n - 4*b = 14*n + 10, 4*b = -5*n + 5. Find the third derivative of -283 + 4*j**2 - 7*j**3 - n*j**2 + 8*j + 283 + 50*j**3 wrt j. 258 What is the second derivative of -4692 + 9461 - 4717 + 2*a - 1510*a**2 wrt a? -3020 Let u(y) = -51*y**3 - 2085*y**2 - 36*y - 19839. Let r(t) = 10*t**3 + 416*t**2 + 7*t + 3968. Let p(k) = 36*r(k) + 7*u(k). Differentiate p(a) with respect to a. 9*a**2 + 762*a Let o(a) = a**3 - 12*a**2 + 24*a + 31. Let g be o(9). Let k = -8 + 11. Find the third derivative of 4*l**4 + 7*l**2 + 4*l**2 + k*l**g + 4*l**4 wrt l. 264*l Suppose 3*t - 20 = 7*t. Let m = -2 - t. Find the third derivative of 0 - 1 + 1 + m*i**5 - 11*i**2 wrt i. 180*i**2 Let s be (1 - 470/14)*(42 - 49). Find the third derivative of 101*z**4 + z - z - 160*z**2 + s*z**4 wrt z. 7896*z Let l(p) = 2*p**2 + 2*p - 2. Let v be l(-2). Let q be 3 - (-1 + 4 - v). What is the third derivative of 149*o**6 - 11*o**q - o**2 - 140*o**6 wrt o? 1080*o**3 Let x(n) be the second derivative of 10 - 2*n - 56/3*n**3 - 25*n**2. Find the first derivative of x(i) wrt i. -112 Let w(v) be the third derivative of -8899*v**5/60 + 4571*v**3/6 - 6544*v**2 + 2. Differentiate w(j) wrt j. -17798*j Let u be 12/3 + (-2 - -2). Let k(c) be the second derivative of 7*c**2 - 2*c + 0*c**3 + 0*c**u + 4/5*c**5 + 0. What is the derivative of k(w) wrt w? 48*w**2 Find the first derivative of -1304*g + 2832*g + 5027*g - 1904 - 54 + 1951*g wrt g. 8506 Find the third derivative of -8*q**5 - 17*q + 16*q**4 + 7*q**5 - 12 + 7*q**6 + 21*q - 2 - 8*q + q**2 wrt q. 840*q**3 - 60*q**2 + 384*q Let j be (5 + (-25)/2 - -9)*8/3. Let d(q) be the first derivative of 0*q - 2*q**3 + 11/4*q**j + 13 + 0*q**2. Find the third derivative of d(g) wrt g. 66 Let b(z) = -1. Let c(u) = 1562*u**2 - 363. Let y(v) = 4*b(v) + c(v). Differentiate y(d) with respect to d. 3124*d Let b(y) = 8105*y**3 + 3*y**2 - 9189*y + 3. Let f(j) = 16211*j**3 + 5*j**2 - 18378*j + 5. Let c(k) = 5*b(k) - 3*f(k). Find the second derivative of c(q) wrt q. -48648*q Suppose 0 = 5*q - 2*r - 58, -19 = 5*r + 1. Find the third derivative of 7*p**3 + 5*p**3 - 19*p**2 + q*p**3 - 35*p**2 wrt p. 132 Suppose 384 = -330*b + 326*b. Let a = b - -100. Find the second derivative of 25*w**a - 840*w**3 + 840*w**3 - 32*w wrt w. 300*w**2 Suppose 0 = 3*s - 144 + 99. What is the first derivative of 8 + s - 26 + 115*w wrt w? 115 Let v(m) be the first derivative of -8*m**6 + 27 - 18*m**3 - 9*m**3 - m**2 + 13 + 10. What is the third derivative of v(w) wrt w? -2880*w**2 Let u(k) be the first derivative of 2707*k**2/2 - 5331*k + 3925. What is the first derivative of u(s) wrt s? 2707 Let j(q) = 4*q**2 + 174*q - 208. Let b(c) = -c**2 + c + 5. Let o(r) = 6*b(r) + j(r). What is the first derivative of o(f) wrt f? -4*f + 180 Let f(b) = -b**3 - b**2 + b + 3. Let a be f(-2). What is the third derivative of 52*o**2 - 10042*o - 38*o**5 - 19*o**a + 10042*o wrt o? -3420*o**2 Let u be 49/7*(-6)/14*-2. Suppose -u*s - 7*s = -65. What is the second derivative of -7*n**5 + 6*n**4 - 6*n**4 + s*n**5 - 15*n wrt n? -40*n**3 Suppose 14 = -0*h + h - 3*f, -h - f = -6. Differentiate -h*y**3 + 70*y**3 + 38*y**3 - 51 wrt y. 300*y**2 Suppose 0 = 2*u - 2, 5*m + 5*u = -22 + 142. What is the third derivative of -6*p**2 + m*p**2 - 105*p**2 + 20*p**3 wrt p? 120 Let l(c) be the second derivative of 123*c**4/4 + c**3/6 - 104*c**2 - 2*c + 573. Differentiate l(o) wrt o. 738*o + 1 Let i(x) be the first derivative of 13681*x**2/2 + 6370*x + 14351. Find the first derivative of i(g) wrt g. 13681 Let x(s) be the first derivative of 279*s**4/4 - 62*s**3/3 + 21*s - 3321. What is the third derivative of x(r) wrt r? 1674 What is the third derivative of -20288*v**3 + 723*v**4 + 6334*v**2 + 10141*v**3 - 783*v**2 + 10147*v**3 wrt v? 17352*v Let l(h) be the second derivative of -h**6/360 - 199*h**5/120 - 115*h**4/6 - 3*h - 53. Let f(c) be the third derivative of l(c). Differentiate f(x) wrt x. -2 Let z(j) be the third derivative of -67*j**6/120 + 23*j**5/20 + 2923*j**3/6 + 1801*j**2. What is the first derivative of z(s) wrt s? -201*s**2 + 138*s Suppose -8 = 2*t - 6*t. What is the third derivative of -173*z + 168*z**6 + 14*z**t + 172*z - 54*z**2 wrt z? 20160*z**3 Let k(n) be the first derivative of 0*n**2 - 57*n + 91/4*n**4 + 22 + 0*n**3. What is the first derivative of k(h) wrt h? 273*h**2 Let o be 1/3 - (-32)/(-12)*-1. Suppose o*w + 5*j = 66, 5*w - 3*w + j = 44. Find the second derivative of -7*f**4 - 24*f**4 + 15*f**4 + w*f wrt f. -192*f**2 Find the first derivative of -3*w - 12011 + 8233 - 6485 - 4837*w**3 + 3*w wrt w. -14511*w**2 What is the derivative of -224*s - 357*s - 409*s - 500 - 97 wrt s? -990 Let a(p) be the second derivative of 41*p**7/7 + p**6/10 - p**5/20 + 5*p**4/4 - 7*p**3/6 + p*
{ "pile_set_name": "DM Mathematics" }
5 Solve 5*x - 29 = -y, 9*y = 4*y - 5*x + 45 for y. 4 Solve 25*p - 21*p + 40 = 4*q, -2*p - 6 = 0 for q. 7 Solve 4*q + 3 + 5 = 0, z - 4*q - 6 = 0 for z. -2 Solve -5*z = -2*z - l - 1, -5*z - 17 = 3*l for z. -1 Solve -33 = -4*l + 5*t, 6*t = -2*l + 9*t + 19 for l. 2 Solve 0 = 5*o - 2*d + 19, 2*o + 61*d - 65*d = 2 for o. -5 Solve 3*i = 2*a - 19, 0 = -a + i + 7 for a. 2 Solve -v = -4*j + 20, -2*j + v - 6*v = -10 for j. 5 Solve t - 15 = 2*z, -2*z - 10 - 20 = -4*t for t. 5 Solve u - 3*i = -8, 2*u - 4*i + 1 = -11 for u. -2 Solve 5*f - 13*b - 11 = -16*b, -4*b = 3*f for f. 4 Solve -23 = -t - 195*j + 199*j, -15 = 3*t + 2*j for t. -1 Solve -g = -5*f + 11 - 36, 3*f = -3*g - 33 for f. -6 Solve 0 = -4*y + 2*f - 8, -5*y - 62 = 4*f - 39 for y. -3 Solve 2*m = 4*a - 12, 5*m + 5 = 4*a - 1 for m. 2 Solve -6*a - 14*y = -9*y - 20, -22 = -4*a + y for a. 5 Solve -5*m = -i - 14, -m - 5 = -8 for i. 1 Solve 11*q - 9*q = 3*c - 11, -5*q + 35 = 5*c for c. 5 Solve 4*s + 3*x = 4*x - 15, 4*s = -4*x for s. -3 Solve 4*v - 5 - 14 = -w, 11 = -3*w + 5*v for w. 3 Solve -j = c - 6, -c + 7*j = 5*j + 6 for c. 2 Solve 4*f + 49 = -4*t + 17, -3*t - 14 = f for f. -5 Solve 0 = -2*p - 12, 3*u - 284*p = -279*p + 18 for u. -4 Solve 10*k - 5*k + 2*y = -11, -4*k - 2*y = 8 for k. -3 Solve -3*g = 2*g + 3*o, 2*o - 10 = 0 for g. -3 Solve 3*s - 12 = 5*f, 4*f - s = -4*s + 12 for f. 0 Solve -8 = s + 2*n, -3*s - s = -2*n - 8 for s. 0 Solve 5*a - 16 = -2*d, -5*a + 0*d + 3*d = -26 for a. 4 Solve -2 = -c - f, 0 = 4*c + 3*f - 5 - 1 for c. 0 Solve 5*g - 10*g - 10 = 2*k, 4*k = 3*g + 6 for k. 0 Solve 0 = -3*y + 3, 0 = q + y - 0*y - 4 for q. 3 Solve -2*p - 20 = -4*b, -2*b = p - 18 + 12 for p. -2 Solve 0*u = 4*h + 2*u + 26, -u = -5*h - 50 for h. -9 Solve -3*n + y = -12, 0 = -5*n - 6*y + 9*y + 24 for n. 3 Solve -25 = -3*l - 22, -2*l = n - 5 for n. 3 Solve -5*b + 41 = 4*u, -u - 6 = -3*b + 5 for u. 4 Solve k = -5*p + 18, k = -4*p - 0*k + 14 for p. 4 Solve 2*j + 4*a + 7 = 7*j, 3*j + 5*a = -18 for j. -1 Solve y - 10 = -2*x - 3, -4*y + 3*x = 27 for y. -3 Solve 7*h = 12*h + t - 19, 2*h = -2*t + 14 for h. 3 Solve o + 14 = -16*l + 12*l, 5*o = -3*l - 2 for o. 2 Solve -2*x = 3*x + 3*p + 19, -5*p = 4*x + 10 for x. -5 Solve 4*f + 14 = -3*c, 3*f + 3*c - 3 = -12 for f. -5 Solve j + g = -4, 4*g + 14 = -3*j + 2 for j. -4 Solve -22 = -2*i + 4*f, -5*f + 6 = 3*i - 2*f for i. 5 Solve 7*b + 2 = 3*x + 8*b, -10 = 5*x + 5*b for x. 2 Solve 0 = 4*v + 2*l + 2, -177*v + 182*v = 4*l + 4 for v. 0 Solve -2*j - 2*x = -7*x - 21, x = 5*j - 18 for j. 3 Solve -5*w = -3*f - 0 - 13, 0 = w - 5*f - 7 for w. 2 Solve -3*v + 0*m - 2*m = -17, -3*m = -2*v + 7 for v. 5 Solve u = -3, -8*g - 54*u + 3 = -55*u for g. 0 Solve 4*y = -5*r + r, r = 3 for y. -3 Solve -3*n + 0*o - 2 = -2*o, -3*o = -3*n for n. -2 Solve z + 100 = 5*v + 98, 5*v - 5 = 0 for z. 3 Solve q = 3*a - 2, 2*a - 2 = 5*q + 21 for a. -1 Solve 0 = k - 3*z + 1 + 10, -5 = -5*k - 5*z for k. -2 Solve 3*v - 8 = 4*b, -2*b = -b - 2*v + 2 for b. -2 Solve 4*m + 18 = -2*j, 14*m = 12*m + j - 7 for m. -4 Solve -4 = -4*h + 4*o, 7*h - 3*h - 4 = 2*o for h. 1 Solve 0 = 3*l + 3, 2*u - 11*l + 6*l + 1 = 0 for u. -3 Solve -3*y = -5*g + 29, -36*y = -37*y - g + 1 for y. -3 Solve 2*b + 3*x = -0*b + x, 0 = x for b. 0 Solve -5*q - 35 = -5*g, -3*g + 6*q - 7 = 10*q for g. 3 Solve 4*b + 58 = -5*m + 23, b - 4*m = 7 for b. -5 Solve 2*v = -3*g - 2, 2*g = -4*v + v - 3 for v. -1 Solve 55 - 27 = -4*l - 4*z, 5*z = -2*l - 20 for l. -5 Solve -3*r + 7 = 4*m - 7, -4*r = 4*m - 16 for m. 2 Solve f - 13 = 5*j, 11*j - 13*j = 4 for f. 3 Solve 5*f + 3*k - 3 = 0, -2*f - 2*k + 2 = -f for f. 0 Solve -4*z + 8 = 0, -5*h + 26 = -4*z + 7*z for h. 4 Solve -3*d - 6 = 2*b, 3*d - 11 + 17 = 3*b for b. 0 Solve 5*g = -7*h + 4*h - 19, -h - 5*g = 23 for h. 2 Solve 4*o + t + 11 = 0, 15 = 22*o - 26*o + 3*t for o. -3 Solve -3*i + 14 = -5*i + 5*f, -4*i - 4*f = -28 for i. 3 Solve -13*o - b = -18*o + 24, 0 = -o + 4*b + 1 for o. 5 Solve 49*h = 53*h - y - 20, 2*h = 3*y + 30 for h. 3 Solve -157*o + 25 = -162*o - l, -45 = 5*o - 3*l for o. -6 Solve -40*t = n - 37*t + 2, t = -2 for n. 4 Solve 0 = 6*n - 3*n + 4*k + 1, 5*k = -3*n + 1 for n. -3 Solve 7*l = 4*l - 4*d + 19, 16 = 4*l + 3*d for l. 1 Solve 0 = -5*l - 2*w - 2, 5*l - 2*w + 33 = 15 for l. -2 Solve 0 = 5*v - 5*r - 20, -22 = -7*v + 9*r - 5*r for v. 2 Solve 3*w = 4*q - 3*q - 4, -2*w = 5*q - 20 for q. 4 Solve 6*j + 23 = 3*a + 4*j, -j = 4*a - 16 for a. 5 Solve -7*v + 5*v - 2*s - 6 = 0, 3*s = 4*v + 19 for v. -4 Solve 0 = 3*t + 4*g + 7, 3*t - 8*t - 3*g - 8 = 0 for t. -1 Solve -v - 4*z - 12 = -3*v, -30 = 5*v + 2*z for v. -4 Solve 4*q = 5*c - 16, -7*q = -2*q + 5*c + 20 for q. -4 Solve 0 = -5*i - 3*b + 1, -5*b - 78 = -4*i - 55 for i. 2 Solve -2 - 5 = -3*z - h, 2*z - 23 = 3*h for z. 4 Solve 5*x + p + 18 = 0, 4*p + 15 = -p for x. -3 Solve 5*w - 50*t = -54*t + 20, -3*t + 15 = 4*w for w. 0 Solve -13 = -4*i + 5*n, n - 31 = i - 33 for i. -3 Solve -4*u = 3*i + 25, -u + 0 = 4*i + 16 for u. -4 Solve 2*k + 2 - 26 = -4*n, 5*k + 10 = 0 for n. 7 Solve 3*c + 31 = -c - 3*o, -2*c = -4*o - 12 for c. -4 Solve -2*m - 3*g = -2*g - 10, 0 = 5*g for m. 5 Solve -3*u + 21 = m, -34*u - m = -29*u - 33 for u. 6 Solve 5*b + 3 = 3*r - 2, -4*b = -5*r - 9 for r. -5 Solve -3*h - 14 = 2*g - g, -21 = 5*h + 4*g for h. -5 Solve 21 = 117*m - 119*m + 3*k, m + 28 = 5*k for m. -3 Solve -10*f + i = -5*f + 24, 4*i = 2*f + 6 for f. -5 Solve 0 = h - 4, -3*h + 27 = -a + 4*a for a. 5 Solve 0 = 2*x - 2*x - 4*x + 3*s, 0 = 2*s for x. 0 Solve 5*a + 3*z + 9 = 0, 0 = 4*z + 53 - 41 for a. 0 Solve 9 - 2 = -3*k + 2*x, -5*x + 27 = 2*k for k. 1 Solve 0 = 4*f - 2*b + 4, 4*b - 4 = -3*f + 2*b for f. 0 Solve 1 = -d - 2*m, 3*d = 4*m + 1 + 6 for d. 1 Solve 0*a = -3*a - 2*p + 13, 0 = 3*a + p - 14 for a. 5 Solve 0 = -2*u - 4 - 6, 15 = -2*t - 3*u for t. 0 Solve -3*x + 6*h + 7 = 4*h, 0 = 2*x + 2*h + 2 for x. 1 Solve -8*j = -11*j + 4*l - 35, 0 = 5*j + l + 20 for j. -5 Solve 3*m + 2*o = 6, 4*o + 6 = m + 6*o for m. 0 Solve 5*a - 6 = l, 4*a - l - 8 + 2 = 0 for a. 0 Solve 47 - 29 = -2*s - 4*d, 4*s + d = -29 for s. -7 Solve -5*y - 1 = -4*v + 4, 4*y - 17 = -v for v. 5 Solve 2*x + 22 = x + 4*i, -x + 2*i - 12 = 0 for x. -2 Solve 3*d = u + 7, -7 = 106*d - 107*d + 5*u for d. 2 Solve 3*z = 2*i - 7, 5*i - 22*z + 21*z = -2 for i. -1 Solve 3*w = -0*w - 12, 0 = 4*r - w for r. -1 Solve -7*r + 4*r + 5*b - 31 = 0, 5*r + 5*b - 15 = 0 for r. -2 Solve -2*o = 4*x - 2 - 0, 0 = -4*o + 36 for x. -4 Solve b = -3*t + 11, -3*b + 8 - 3 = 2*t for t. 4 Solve -10*l = 4*b - 7*l + 4, l = 0 for b. -1 Solve -3*i + 4*z - 2 = 0, 19*i - 6 = 21*i - 5*z for i. 2 Solve 13 = -2*c - m, 10 = 3*c - 2*m + 19 for c. -5 Solve 0 = -5*d + 3*d, q - d = -1 for q. -1 Solve 12 = -5*o + 5*i - 18, -16 = 3*o - i for o. -5 Solve 2*s + 4*m + 6 = 0, -4*s + 2*m = 3*m + 5 for s. -1 Solve -a + 6*a + 1 = -3*b, 1 = -3*a - 2*b for a. 1 Solve -6*s + 3*s - 6 = -z, -4*z - 2*s - 4 = 0 for z. 0 Solve 2*a + 4*n + 16 = -a, -4*a = 5*n + 21 for a. -4 Solve 5*j = 3*w - 15, -4*w = -20*j + 24*j + 12 for w. 0 Solve 5*i = x + 15, 22 = 2*x - 0*x + 3*i for x. 5 Solve -3*n + 0*n + 4*m + 20 = 0, 0 = 3*m + 6 for n. 4 Solve 3*c = -r - 4, 3*c = 10*r - 14*r - 16 for c. 0 Solve -5*c = 3*b - 1 - 13, -2*b + 3*c = -3 for b. 3 Solve -2*d + 22 = 4*m, -4*d = -8*m + 4*m + 16 for m. 5 Solve z - 15 = -2*s - 10, 3*s + 5*z + 10 = 0 for s. 5 Solve -5*r - 15 = -3*s - 0*r, 0 = -5*s + 3*r + 25 for s. 5 Solve 0 = 3*p - 4*z - 32, -20*z + 25*z + 45 = 5*p for p. 4 Solve 4*u - 3 = -2*v + 3, 5*v + 2*u = -9 for v. -3 Solve -5*y - 22 = 47*g - 49*g, -y = 4*g for g. 1 Solve 4*j - 4*x = 32, -2 = -j + 3*j + 4*x for j. 5 Solve 0 = -33*o + 28*o + 3*q + 32, -5*o + 38 = 3*q for o. 7 Solve -5*k = p + 11 - 6, -5 = -2*k + p for k. 0 Solve -s - 3*v - 7 = 0, -2*s + 4*v = -3*s - 10 for s. 2 Solve 65*i = 61*i - 2*y + 18, -3*i - 3*y = -18 for i. 3 Solve -3*a - 5*g = -25, 177*g - 180*g = -a - 15 for a. 0 Solve -4 = 3*g - 2*i, -4*i + 7 + 3 = -5*g for g. 2 Solve 2*s - 10 = 2*n, 21 = 4*n + 5*s + 5 for n. -1 Solve 0 = -4*y + 5*n + 40, 3*n = -0*n - 12 for y. 5 Solve 4*i = h - 7, 3*i - 4*h + 10 = -5 for i. -1 Solve 2*v + i = -7, 2*i - 6*i = 4*v + 16 for v. -3 Solve j = -n - 7, 4*j + 5*n + 31 + 1 = 0 for j. -3 Solve 4*g = 5*t + 49, -22 = 3*t - 15*g + 20*g for t. -9 Solve 0 = 4*w + 5*b + 10, 0 = -w - 4*b - 2 - 6 for w. 0 Solv
{ "pile_set_name": "DM Mathematics" }