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0.55347296. Let m = g + -0.38. What is m rounded to seven decimal places? 0.0000003 Let k(v) be the second derivative of -12503*v**3/6 + 21*v**2 + 23*v. Let g be k(14). What is g rounded to the nearest ten thousand? -180000 Let r = -35.63257 - -36.1225779. Let d = 0.49 - r. What is d rounded to 6 dps? -0.000008 Let x = -226.8 - -208. Let v = x + -1.2. Let w = v - -19.866. What is w rounded to two dps? -0.13 Let f = -1.66 - -0.26. Let k = f + 0. Let g = -1.40119 - k. What is g rounded to 4 dps? -0.0012 Let y = 19.7 + -2.7. Let u = 0 + y. Let t = 17.00000148 - u. What is t rounded to 7 decimal places? 0.0000015 Let t = -21.3 - -1.3. Let h = t - -20.06. Let y = 0.05991 - h. Round y to four decimal places. -0.0001 Let q = 535.3 - 531.3997. Let b = 3.9 - q. Round b to three dps. 0 Let s be 1150586/(-14) + 20/(-70). Let q = -43285 - s. Round q to the nearest 1000. 39000 Let q = -56417 - -56416.099984. Let l = q + 0.9. What is l rounded to 6 decimal places? -0.000016 Let j = -59 - -67.4. What is j rounded to the nearest integer? 8 Let u(h) be the first derivative of 43*h**4/4 - 3*h**3 - 4*h + 4. Let r be u(-12). Let l be (-36)/54 - r/6. Round l to the nearest 1000. 13000 Let r = 7.3181 + 57.1116. Let q = r - 64.4. What is q rounded to 3 decimal places? 0.03 Let t = -107643 + 230865. Suppose -b = 4*b - 336110. Let f = b - t. What is f rounded to the nearest ten thousand? -60000 Let u = -0.003349 - -365826.003349. Let q = -365838.00088 + u. Let d = 12 + q. What is d rounded to 4 dps? -0.0009 Let u = 0.13 - -29.87. Let c = -29.96 + u. Round c to 1 dp. 0 Let r = -389.996 - -340. Let f = -50 - r. Round f to 2 dps. 0 Let y = 12.29 - 12. Let w = -1.41 - y. Let z = 1.825 + w. What is z rounded to 2 dps? 0.13 Let b = 17 - 14.9. Let v = b - 1.42. Let q = 17.78 - v. What is q rounded to 0 decimal places? 17 Let d = 171 - 1026. Let a = -855.00371 - d. Round a to three dps. -0.004 Let u = -224 - -224.01624. What is u rounded to three dps? 0.016 Let w(h) = -511599*h - 5. Suppose 5*s - 20 = -o + 7, 0 = -5*s + 20. Let n be w(o). Let p = n - 1318802. Round p to the nearest one million. -5000000 Let n = -307 + 306.99987. Round n to 6 decimal places. -0.00013 Let u = 502841.45004 + -502833. Let h = u + -7.650039. Let w = h + -0.8. What is w rounded to seven decimal places? 0.000001 Suppose -g = -2*h + 2, 0 = 3*g + 2*g + 5*h - 5. Suppose 12*l - 9088302 - 170911698 = g. Round l to the nearest one million. 15000000 Let o = -1.744 + 0.456. What is o rounded to two decimal places? -1.29 Let f = -213.651 - -214. What is f rounded to 2 decimal places? 0.35 Let r = 1.74134 - 517117.74134. Let b = -517110.00001 - r. Let f = b + -6. What is f rounded to six dps? -0.00001 Let b = -126.64 + 126. Let q = b + 0.640042. Round q to 5 dps. 0.00004 Let t = 111276880 - 111276768.999891. Let w = 33.3 + -144.3. Let f = t + w. Round f to five decimal places. 0.00011 Let x = 93 - 102.4. Let w = x + -2.6. Let q = -11.72 - w. Round q to 1 decimal place. 0.3 Let x be (-21799)/2 + (26/4 - 7). What is x rounded to the nearest one thousand? -11000 Let b = -9.1739 + 7.541. Let i = 1.6 + b. Round i to three dps. -0.033 Let k(j) be the third derivative of -193999*j**5/60 + j**4/8 - 5*j**3/3 + 15*j**2. Let r be k(-5). What is r rounded to the nearest 1000000? -5000000 Let n = 9996566 + -9996547.999962. Let z = -28 + 10. Let a = n + z. What is a rounded to five decimal places? 0.00004 Let y = 0.001299922 - 0.0013. Round y to 7 decimal places. -0.0000001 Let h = -633.1318 - -633. Round h to two decimal places. -0.13 Let q = -943 + 836.2. Let d = 98 + q. Round d to 0 dps. -9 Let m = 1326601 + -1327132.467. Let y = m + 531. What is y rounded to two dps? -0.47 Let n = -75.43 - -75.26988. What is n rounded to three decimal places? -0.16 Let f = 62 + -62.38. Let k = f + 0.379685. What is k rounded to five decimal places? -0.00032 Suppose 3*c - 6 = -3*c. Let b be (225/2)/c*-12000. What is b rounded to the nearest one hundred thousand? -1400000 Let n = -2.953 + 1.97. What is n rounded to one dp? -1 Let q = 204.0376 + -204. Round q to two dps. 0.04 Let x = -299.7 - -260. What is x rounded to zero dps? -40 Let o = -62.5591 - -0.2591. Round o to the nearest 10. -60 Let k = 663 + -669.58. Let g = 8.4 + k. What is g rounded to one decimal place? 1.8 Let w = -15201893403 + 15201892745.00000782. Let q = -658 - w. What is q rounded to six decimal places? -0.000008 Let h = 65.919 + -1.919. Let a = -4792037556 + 4792037620.00000094. Let n = a - h. What is n rounded to seven decimal places? 0.0000009 Suppose 4*g - 14 = 6. Let k(z) = -3418*z - 3. Let i be k(g). Let s = 31693 + i. What is s rounded to the nearest 1000? 15000 Let d = 6 + -12. Let u be (d + 3)/((-6)/8). Suppose 4*z - 3*z = -u*l + 59008, 2*z - 5*l - 117990 = 0. Round z to the nearest ten thousand. 60000 Let w = 1444.9931 + -1445. What is w rounded to three dps? -0.007 Let o(n) = 162054*n + 2. Let c be 15/(-5) + -6 + 2. Let t be o(c). Let f = t + 1984376. What is f rounded to the nearest 100000? 900000 Let w = -0.471 + -110.529. Let a = -4.73948 - 106.27072. Let y = a - w. What is y rounded to three dps? -0.01 Let l = 210 + -19. Let y = 29607 - 29418.61. Let o = l - y. What is o rounded to one decimal place? 2.6 Let a = -4821 - -4842.19. Round a to the nearest integer. 21 Let o(l) = l - 19. Let c be o(11). Let z = 1 + c. Let w(m) = 367348*m**2 + 5*m - 17. Let i be w(z). Round i to the nearest one million. 18000000 Let m(r) = -6*r - 1. Let o = -28 - -30. Suppose -3*a = -2*v - 11, -2*a = -2*v - 14 + o. Let s be m(v). Round s to the nearest 10. 40 Let l = -36 + 35.992. Let v = 0.008046 + l. Round v to five decimal places. 0.00005 Let h = 3.902 + 0.028. Round h to the nearest ten. 0 Let r = -69788.7302 + 69783. Let x = r - -5.6501925. Let q = x - -0.08. Round q to 6 dps. -0.000008 Let c = 738.7 + -834. Round c to the nearest 10. -100 Let w = 399.833 + -401.8. What is w rounded to 1 dp? -2 Let x = 245 - 44. Let r = x - 200.897. Round r to two decimal places. 0.1 Let s = 7699 - 7745.43. Let w = s - -0.43. Let m = w + 45.9999917. What is m rounded to six decimal places? -0.000008 Suppose 0*k - 160 = -5*k. Suppose -r + 6 = -2*m, 0*r = 3*r + 6. Let o be (-5250)/(m/k*-2). What is o rounded to the nearest ten thousand? -20000 Let a = -81 - -84. Let h be (-384)/2*a/(63/(-700)). What is h rounded to the nearest one hundred? 6400 Let b = 167.013 - 167. What is b rounded to two dps? 0.01 Let m = -2711 + 2890.7. Round m to the nearest 10. 180 Let o be (-4)/(-8) - 146281/(-38). What is o rounded to the nearest 1000? 4000 Let m = -25 - 5.7. Let j = 102.3 - m. Let b = j - 133.000071. Round b to five dps. -0.00007 Let i be 28/42*26130021/(-2) - -7. What is i rounded to the nearest one million? -9000000 Suppose -51927278 = 9*d + 30674722. What is d rounded to the nearest 100000? -9200000 Let l = 963 + -962.999998052. What is l rounded to 7 decimal places? 0.0000019 Let o = 13 - 41. Let s = o - -28.095. Let h = s - 0.09500204. Round h to 7 decimal places. -0.000002 Let t be 15/20 - 29/(-4). Let h be 4/t*-2*-152. Let g = h + -261. What is g rounded to the nearest 10? -110 Let p = -8.1 - -6. Let k = 46311.900144 - 46314. Let i = p - k. What is i rounded to five decimal places? -0.00014 Suppose -5*d - 381 = -x, 4*d - 1587 = -5*x + 202. Suppose -6*z - 431 - x = 0. Round z to the nearest 10. -130 Let m = -115.08 - -115. Let x = -3 + 2.9. Let d = m - x. Round d to 2 dps. 0.02 Let v = 6.3 - 6.297545. What is v rounded to three dps? 0.002 Let n = -0.2887964 - -0.289. Round n to 6 dps. 0.000204 Let h = -1115951.8933566574492 + -2.4066432425508. Let r = 1115953 + h. Let j = r - -1.3. Round j to seven decimal places. 0.0000001 Let n = 0.149 - 0.025. Let a = n + -0.12400177. What is a rounded to seven decimal places? -0.0000018 Let l = 17 + -12. Suppose 3*q = -5*f + 7 + 8, -l*f = 4*q - 20. Suppose -3*v = -q*s - 3435, -2*v + 2203 = 5*s - 112. What is v rounded to the nearest 100? 1200 Let v = 85.15 - 86. Let u = 0.8499886 + v. What is u rounded to six dps? -0.000011 Let w = 267 - 266.99999978. What is w rounded to seven decimal places? 0.0000002 Suppose 0 = 18*d - 6*d - 1176000. Round d to the nearest 10000. 100000 Let f = 2449 - 2448.98887. Round f to 3 dps. 0.011 Let n = 0.029769 - 108.0
{ "pile_set_name": "DM Mathematics" }
*(2/35)*t**(-20)/((t*(t*t**(-21)*t)/t*t*t)/t*t) assuming t is positive. t**(-1749/595) Simplify (((p**(2/11)/p)/p**7)**(-17/2))**(-33) assuming p is positive. p**(-2193) Simplify (k**(-15)/k**(1/12))/((k/k**(-19))/k**(-2/11)) assuming k is positive. k**(-4655/132) Simplify ((j*j/(j*j**(-2/23))*j*j)/j*j**(-7))/(j**(-1/4))**9 assuming j is positive. j**(-245/92) Simplify (x/(x/(x*x**(-5/6)))*x*x**(-6)*x**(-4/7)*x**(6/11))**31 assuming x is positive. x**(-69595/462) Simplify ((t/(t/(t*t/t**(-6))*t)*t/(t*t**(3/5)))/((t*t/(t*t*(t**(-2)/t)/t))/t*t**8))**20 assuming t is positive. t**(-92) Simplify ((y**(-9)/y)/y)/(y**10/y)*y/(y**(3/7)*y)*y**(8/5) assuming y is positive. y**(-659/35) Simplify (j*j*j**(-19)/j)/(j**(-1/14)*j)*(((j*j/(((j**(-1/6)*j)/j*j)/j))/j)/j)/j**(1/42) assuming j is positive. j**(-263/14) Simplify ((a*a/(a/((a/a**(2/3))/a*a))*a)**(-45)*a*a/((a**(1/8)/a)/a)*a*a*a**11)**47 assuming a is positive. a**(-33135/8) Simplify (p/p**(1/2)*p**(16/5))**(-46) assuming p is positive. p**(-851/5) Simplify ((v*v**9/v)**14)**(1/12) assuming v is positive. v**(21/2) Simplify ((r**(1/6)/r**(-1/7))**(-31))**20 assuming r is positive. r**(-4030/21) Simplify ((p**(5/6)/p*(p/p**(-5))/p)/((p**(-8)*p)/p*p**(-2/3)*p))**(9/2) assuming p is positive. p**(225/4) Simplify ((x**(-14)*x)/x*x*x)**7/(x**(1/15)/(x*x**(1/12))) assuming x is positive. x**(-4979/60) Simplify (c/(c**14*c))**(-11)/(c*c**(-16/5)*c/(c*c/(c*c**(-10/9))*c*c)) assuming c is positive. c**(7169/45) Simplify l/(l*l*l/(l*l**(-1/8)*l)*l)*l**(-2/13)*l*l*l**(2/7)*l*l*l**(-2/17) assuming l is positive. l**(35757/12376) Simplify (l**(-9)*l*l**(4/3))/(l**(-3))**50 assuming l is positive. l**(430/3) Simplify (n**(2/9)/n**5*n**9/n**(-1/2))**(38/7) assuming n is positive. n**(1615/63) Simplify (v**31*v**38)/(v/(v/v**(-7/10))*v**(2/11)) assuming v is positive. v**(7647/110) Simplify ((x**0)**(-7)*(x/x**(2/3))**(-2/7))**(-49) assuming x is positive. x**(14/3) Simplify ((((y*((y/(y/y**(-6)*y))/y)/y*y)/y)/(y/((y/(y**(-7)/y))/y*y*y)*y*y))/(y**(-3/4)/y**5))**(-25/3) assuming y is positive. y**(-475/12) Simplify b**(-10/7)/(((b/(b**(-6)*b))/b)/b)*b**(-2/39)/b*b*b*b**4 assuming b is positive. b**(-131/273) Simplify (b*b**(-1/3)*b)**(-26)/(b**(-3/2)*b*b*b/(b*(b*b**(1/11)*b)/b*b)) assuming b is positive. b**(-2755/66) Simplify (k/(k*k/(k*k*k*k*(k/(k*k/k**1))/k)*k*k))**(-21)/(k*k**13/k*k**(-1)) assuming k is positive. k**(-12) Simplify (s**7)**15/((s**(-8/5)*s)/(s*s*s**(1/3)*s)) assuming s is positive. s**(1634/15) Simplify l/(l/(l*l*l*l**(1/4)))*l**(2/51)/l*l**(11/2)/(l*l**(-1/15)*l) assuming l is positive. l**(1991/340) Simplify ((n*n/n**(-2/11))/n)**(-29)/(n**(14/5)*n**(-1)/n) assuming n is positive. n**(-1929/55) Simplify (x/(x*x**15*x))/(x*x**(-10))*(x/(x/(x/x**(4/11))))**(-4/11) assuming x is positive. x**(-875/121) Simplify (q/((q/q**(1/13))/q)*q/(q**(-14)*q*q)*q)/((q/q**(-1/4)*q)/(q/(q*q**(-2/9)))) assuming q is positive. q**(6107/468) Simplify (r**(-14)/r)/r**(8/5)*(r/(r*r**(1/3)))**45 assuming r is positive. r**(-158/5) Simplify (z/(z*z**(-14)*z*z))/(z*(z/z**(-2/45))/z)*(z/(z*z**(-4/3)*z))/(z/(z/(z*(z**0*z)/z))) assuming z is positive. z**(463/45) Simplify (y/y**(-1/15)*y*y*y**(-8))/((y**17/y)/y**(-4/5)) assuming y is positive. y**(-326/15) Simplify ((r/(r*r*r**(-1/4)))/r)/r**(4/9)*(r/(r**14*r))/(r/r**(1/19)*r) assuming r is positive. r**(-12409/684) Simplify (y/(y*(y**(-4/9)*y)/y))/y**(2/7)*(y**4)**(-4/9) assuming y is positive. y**(-34/21) Simplify v**(-1/3)*v/(v/(v/((v*v**20)/v)))*v**(2/9)/v*v/v**(-7/5) assuming v is positive. v**(-797/45) Simplify ((f/(f*(f**(1/4)/f)/f)*(((f**(2/5)/f)/f)/f)/f)**35)**(-2/95) assuming f is positive. f**(259/190) Simplify (m/(m**(-1/2)/m)*m*m*(m**(-8/9)/m)/m*m)**(4/17) assuming m is positive. m**(94/153) Simplify (((l*l*l**(-2))/l)/(l/l**(-1/4)))/(l**(3/5)*l**(-2/11)) assuming l is positive. l**(-587/220) Simplify ((u/u**6)/u*u**(1/6)*u)/(((u*u**9/u*u*u)/u)/((u*u**(1/8))/u)) assuming u is positive. u**(-353/24) Simplify (z**(2/3)*z*z**(8/5)*z*z)/((z/(z/(z/z**(-34))))/(z/((z**(-1/50)/z)/z))) assuming z is positive. z**(-4007/150) Simplify h**(-3/7)*h*h**(2/7)*h**(-5/13)/h*h/h**(-1/11) assuming h is positive. h**(564/1001) Simplify ((l**(-9)*l)**(-12))**(-18/11) assuming l is positive. l**(-1728/11) Simplify (y**2)**(-16/3)*(y*((y*y**(-20)*y)/y*y*y)/y)/(y/(y*y/(y/((y*y/(y/(y**(-9/4)/y)))/y)*y))*y) assuming y is positive. y**(-395/12) Simplify (((s*s**3/s*s)/s)**(14/11)/(s**(-7)*s**(-13)))**(-7/11) assuming s is positive. s**(-1834/121) Simplify (h/(h**6*h))/h*(h*h**(-12/7)/h)/h*h*(h*h**3)**(-29) assuming h is positive. h**(-873/7) Simplify ((h/h**1)/h)**(-9)*h/h**(-15)*h*h**(2/29) assuming h is positive. h**(756/29) Simplify ((v**(-2/19)/v)/v)/(v/v**(-2/9))*((v/(v*v**1))/v*v*v*v)**(-38) assuming v is positive. v**(-7067/171) Simplify ((q/(q*q/q**(-14)))/(q**(-6)/q))/((q/(q/q**(-17)))/q**6) assuming q is positive. q**15 Simplify (g*g/g**(-2/5))**(-23)*g/(g/(g/(g/(g*g**(7/5)))))*(g/g**(2/9))/g assuming g is positive. g**(-2386/45) Simplify (o/o**2*o**(1/5))/((o/(o/(o/(o**(-7)/o)))*o)/(o**(-1/9)*o)) assuming o is positive. o**(-446/45) Simplify (z**(1/14)*z**1*z*z)/(((z**(-3)*z*z)/z)/z)**(-19) assuming z is positive. z**(-755/14) Simplify ((o/(((o/(o*o**(2/43)/o))/o)/o))/((o/o**(-2/19))/o))/((((o*o**(3/7)*o)/o)/o*o)/o**17) assuming o is positive. o**(100155/5719) Simplify (u**(-1/6)/(u*u**(-6))*(u**(3/5)/u*u)/u**3)**(-42) assuming u is positive. u**(-511/5) Simplify ((m*m**(-4/5))/(m*(m/m**(-1/7)*m)/m)*m**(-7)*m**(-1/4))**(-27) assuming m is positive. m**(34749/140) Simplify b/b**(-2/25)*b*b*b**(3/4)*b*b**7*b*b/b**(-4) assuming b is positive. b**(1783/100) Simplify ((b/b**(2/3)*b)/b)**(-42)*((b/(b**18*b))/b)/(b/((b*((b/b**(4/7))/b)/b*b)/b)*b) assuming b is positive. b**(-249/7) Simplify (((u*u/(u*u**(1/3)*u))/(((u**6*u)/u)/u))/(u**(-1/2))**(-38))**(-3/14) assuming u is positive. u**(73/14) Simplify (r*r*r/(r**(-31)*r)*r*r/(r**(7/4)/r))/((r/(r/r**25))/r**26) assuming r is positive. r**(141/4) Simplify (x**(7/6)*x**(-3)/x)/((x/(x**(-6)/x))/x*(((x/(x*x*x**(-11)))/x)/x)/x) assuming x is positive. x**(-101/6) Simplify (c**(3/7)/c*c)/c*c*c**(-7)/c*c*((c**(4/7)*c*c)/c)**(-12) assuming c is positive. c**(-178/7) Simplify ((n**(5/8)*n)**(-25))**(-19) assuming n is positive. n**(6175/8) Simplify (l**(-1))**(-17)*l**15/l*l/l**17 assuming l is positive. l**15 Simplify (m**(1/5))**(-3/7)/(m**(-7/5)/(m*m*m**(-2/3))) assuming m is positive. m**(278/105) Simplify ((v**(-29)*v)/(v*(v/(v/v**(-9/5)))/v*v*v))/(v/(v**(-29)/v*v)*v*(v/(v/(v**(-10)/v)))/v) assuming v is positive. v**(-236/5) Simplify (a**7)**(-14)*a**(-2/11)/(a*a*a/(a/a**0)*a) assuming a is positive. a**(-1113/11) Simplify ((z**(-8)*z)/z**(10/9))/(z**4*(z**(1/9)*z)/z) assuming z is positive. z**(-110/9) Simplify ((g/g**(-16)*g)/(g/g**(-3/2)*g*g))**(-48) assuming g is positive. g**(-648) Simplify ((f/(f*f*f*f/(f/f**(-9)))*f)/(f*(f/f**12)/f*f))/(f/f**(-10)*f/((f/(f/(f/(f/(f/f**(-3/16))))))/f)) assuming f is positive. f**(99/16) Simplify (r**10*r**22*r)/(r**(4/11))**(-29) assuming r is positive. r**(479/11) Simplify (o/o**(-2/7))**(27/5)/(o/o**(2/3))**(-3/19) assuming o is positive. o**(4652/665) Simplify (r*r**(-3/2)*r/(r**(-12/11)/r))/(r*r**(-11)*r*r*r**(3/4)) assuming r is positive. r**(433/44) Simplify u**(-2)*u**(4/9)*(u**(-4/9)/u)/u**(-7) assuming u is positive. u**4 Simplify ((a*a**(-1/4)*a)**(-44)/(a**(2/9)/(a*a**(4/5))))**(-14/3) assuming a is positive. a**(47516/135) Simplify (((n*n**(-12/5)/n*n)/n*n**0)**(-2/45))**(-1/15) assuming n is positive. n**(-8/1125) Simplify (c*c**(-14))**31*((c*c/(c**(-6/7)*c))/c)**(-22) assuming c is positive. c**(-2953/7) Simplify (((n**(1/4)/n)**(-2/47))**(18/13))**(-10) assuming n is positive. n**(-270/611) Simplify t/(t**(-2/5)*t)*t*t*t**(5/6)*t*t**(-3)/(t*t**2) assuming t is positive. t**(-53/30) Simplify (p**(1/6)*p)**(-4/11)*(p/(p/p**(-2/9)))/p*p**(-2/33)/p assuming p is positive. p**(-268/99) Simplify ((y*y*y*y*y**(2/11)*y)/y**(-7/8))**(-29) assuming y is positive. y**(-15457/88) Simplify ((r*((r*r/r**3)/r)/r*r)**(-1/4)*(r/r**(1/6))/(r*r/(r**(2/27)*r)))**(-2/11) assuming r is positive. r**(-17/594) Simplify (((w**(-1))**(-3/2))**(2/11))**19 assuming w is positive. w**(57/11) Simplify (
{ "pile_set_name": "DM Mathematics" }
f*r - 9007*f + r - 1 wrt f? -60*f*r - 5778*f + 30 What is the second derivative of 24*f**2*v**2 - 67352*f**2*v - 4*f*v**2 - 275*v**2 wrt v? 48*f**2 - 8*f - 550 What is the first derivative of -15*a*g - 34699*a + 35*g wrt g? -15*a + 35 What is the first derivative of 151*j**3*y + 2793*j**3 - 4*j**2 - 49*j + 2106*y**4 wrt y? 151*j**3 + 8424*y**3 What is the third derivative of 32173*h**3 - 65568*h**2 wrt h? 193038 Differentiate -d**4*x**3 - 5038*d**4*x**2 - 2*x**3 - 112*x**2 - 117*x wrt d. -4*d**3*x**3 - 20152*d**3*x**2 What is the first derivative of 43273*d*o**2 + 21754*o**2 wrt d? 43273*o**2 Differentiate -2*b*i*y**2 + 29*b*i*y + 87326*b*y**3 + 2*b*y - 647*i*y**3 with respect to i. -2*b*y**2 + 29*b*y - 647*y**3 Find the second derivative of 233*b**2*m**3 + 3*b**2*m**2 - 63*b**2*m + b**2 + 5479*b*m**3 + 33*b wrt b. 466*m**3 + 6*m**2 - 126*m + 2 Find the third derivative of 2*c*l**4 + c*l**3*z + c*l**2*z + 124*c*l - 14*l**3*p + 24*l**3*z - 4*l**2*p - 15*l**2*z wrt l. 48*c*l + 6*c*z - 84*p + 144*z What is the second derivative of -4*f**4 + 4965*f**2 + 24*f - 619 wrt f? -48*f**2 + 9930 What is the third derivative of k**2*v**3 - 16*k**2*v**2 - 3*k**2*v - 27*k**2 + 3*k*v**2 + 61261*v**3 wrt v? 6*k**2 + 367566 Differentiate -4*d*f**2 - d*f + 15*d + 9*f**2 + 1166*f - 20780 with respect to f. -8*d*f - d + 18*f + 1166 Differentiate -94268*h**2*t**2 - 11061*h**2 - 2*h*t**3 wrt t. -188536*h**2*t - 6*h*t**2 What is the second derivative of 15*a**3*h + 323*a**2*h - 19*a*h + 5*a + 10*h - 1 wrt a? 90*a*h + 646*h What is the third derivative of 1021080*b*o**3 + 13224*b*o**2 + 138*b wrt o? 6126480*b Find the third derivative of -30675*v**6 + v**2 - 7*v + 1703 wrt v. -3681000*v**3 What is the first derivative of -31*h**2*o**2 - 855*h**2*o + 4148*o**2 - 5 wrt h? -62*h*o**2 - 1710*h*o What is the third derivative of -8045*u**4 + 16*u**3 + 11*u**2 - 65*u - 79 wrt u? -193080*u + 96 Find the third derivative of 68890*i**5 + 34*i**2 + 203*i + 1. 4133400*i**2 Differentiate -1579792*l**2 - 455205 wrt l. -3159584*l Find the second derivative of 2*a**5*c - 39607*a**4*c + 53*a*c + 2*c + 4 wrt a. 40*a**3*c - 475284*a**2*c Find the second derivative of 112036*z**2 - 160628*z. 224072 Differentiate -2236*o*x**3 + 3*o*x + 181064*o - x**4 with respect to x. -6708*o*x**2 + 3*o - 4*x**3 Find the second derivative of 178821*r*x**2 - 11*r*x + 540*r + 3*x - 5 wrt x. 357642*r What is the third derivative of -7*x**5 + 1922*x**3 + 232*x**2 + 317*x? -420*x**2 + 11532 What is the third derivative of -23809*f**3*n + 8038*f**2*n wrt f? -142854*n Find the first derivative of -f*s + 197337*f + 1148666*s - 2 wrt f. -s + 197337 Find the third derivative of -2*f**3*l**2 + 114500*f**3 + 8*f**2*l - 72*f*l**2 + 5*f - 10*l**2 wrt f. -12*l**2 + 687000 Find the second derivative of -114758*w**5 + 2*w - 18344 wrt w. -2295160*w**3 What is the third derivative of -5*j**6 + 3631*j**4 - j**3 - 3176*j**2 - 79 wrt j? -600*j**3 + 87144*j - 6 Find the second derivative of 5*i**3*x**2 - 2*i**3 - 9*i**2*x**3 + 3*i**2*x + 23*i*x**2 + i*x - 161 wrt x. 10*i**3 - 54*i**2*x + 46*i What is the second derivative of c**4 + 328*c**3 - 35*c**2 + 1646*c - 2 wrt c? 12*c**2 + 1968*c - 70 Differentiate -r**2*s**2 + 2*r**2*s - 22*r**2*y - 2188*r**2 + 3*r*s**2 - 3*r - 13063*s**2*y + 2*y wrt y. -22*r**2 - 13063*s**2 + 2 What is the second derivative of 266888*a**3*l**2 + 1443*a - 2*l**2 wrt a? 1601328*a*l**2 Find the second derivative of -1003*a*s*y**2 - a*s*y + a*y - 23926*a - 17*s*y**2 wrt y. -2006*a*s - 34*s Find the third derivative of -1070119*f**4 - 573553*f**2 wrt f. -25682856*f Find the second derivative of -785127*s**3 + 28387*s wrt s. -4710762*s Find the first derivative of 42925*a**4*f - 3*a**2*f + 75300*f wrt a. 171700*a**3*f - 6*a*f What is the first derivative of 2499067*w**3*y - 17*w**3 - 2*w**2 + 919*w + 2 wrt y? 2499067*w**3 What is the second derivative of -140429*c*t**5 + 6*c*t + 233*c - 2*t**5 + 2*t - 44 wrt t? -2808580*c*t**3 - 40*t**3 Find the third derivative of -53680*h**5 + 3*h**3 - 367504*h**2. -3220800*h**2 + 18 What is the first derivative of -51107*f**4 - 19218 wrt f? -204428*f**3 What is the derivative of 14067*k**2*t - 8*k**2 - 8733*t + 5 wrt k? 28134*k*t - 16*k Find the second derivative of -280602*m**3 + 277462*m. -1683612*m What is the second derivative of -2*l**5 + 35631*l**3 + 3*l + 796289 wrt l? -40*l**3 + 213786*l What is the second derivative of 221295*q**2 - 21*q + 3011? 442590 What is the first derivative of -2*l**3*o + 759*l**2*o - 8*l + 86029*o wrt l? -6*l**2*o + 1518*l*o - 8 Find the second derivative of -12*i*j*s**3 + 4*i*s**3 - i*s + 147*j*s**3 + 2*j*s + 2724*j wrt s. -72*i*j*s + 24*i*s + 882*j*s Find the first derivative of -70*h*j*u**2 - 83665*h*u**2 + 2*j**3 - 432*j*u**2 wrt j. -70*h*u**2 + 6*j**2 - 432*u**2 Differentiate 8343*d*m**2*r + 2*d*m**2 - 15*d*r**2 - 564*m**2*r - 352*m*r**2 wrt d. 8343*m**2*r + 2*m**2 - 15*r**2 Find the first derivative of -b*p + 204*b - 2908694*p + 153 wrt p. -b - 2908694 Find the second derivative of -58*t**2*u**2 + 886*t**2*u - 2*t**2 + 20*t*u**2 + 98*t*u - 4*t - 3*u**2 - 1 wrt t. -116*u**2 + 1772*u - 4 Find the second derivative of -724*h**4 - 29*h**2 - 77848*h wrt h. -8688*h**2 - 58 What is the second derivative of -41547*a*w**3 - a*w - 3*a + 5*w**2 - 11*w - 2 wrt w? -249282*a*w + 10 What is the derivative of -4*c**2*g*p**2 + 7930*c**2*g - 8*c**2 - 47042*c*p**2 + g - 2 wrt p? -8*c**2*g*p - 94084*c*p Find the third derivative of 64786*m**4 + 2*m**2 - 4905*m - 1. 1554864*m Find the third derivative of -6*n*r**4 - 1182*n*r**3 - n + 27*r**2 - 301 wrt r. -144*n*r - 7092*n Differentiate 2390493*h*m**2 - 2*m**2 - 1634*m - 104 wrt h. 2390493*m**2 Find the second derivative of 132062*l**2 - 56619*l. 264124 What is the second derivative of -9238*s**4 - s**2 + 38088*s + 2? -110856*s**2 - 2 What is the derivative of -30818*c**4 + 31014? -123272*c**3 Find the first derivative of 161*m**2 + 205*m - 508330. 322*m + 205 Differentiate -18273*h**2 - 60621 with respect to h. -36546*h What is the third derivative of -7*v**4 - 73718*v**3 - 2*v**2 + 40485*v wrt v? -168*v - 442308 Find the second derivative of 111301*b**2 + 34258*b wrt b. 222602 What is the third derivative of 1706*l**3*o**2*u + 13*l**3*o*u + l**2*o*u + l**2*u + 8308*l - 2*o**2 wrt l? 10236*o**2*u + 78*o*u What is the first derivative of -6688*d**3 - 14*d - 126382? -20064*d**2 - 14 Find the second derivative of 5*n**2*u**3 - 5172*n**2*u**2 + 37*n*u**3 - 467*n*u**2 wrt n. 10*u**3 - 10344*u**2 What is the second derivative of 1968*f**4 + 125*f**2 - 269479*f - 2? 23616*f**2 + 250 What is the derivative of -1196762*u**3 - 51345 wrt u? -3590286*u**2 What is the third derivative of -117211*l**3 + 28*l**2 + 3*l - 23? -703266 Find the third derivative of 1131*g**3*j**2 + 9*g**3*j*q**3 + 25*g**2*j**2*q**3 - g**2*j**2 - 8*g**2*j*q + 2*q**3 + q wrt g. 6786*j**2 + 54*j*q**3 What is the third derivative of f**3*q**2 + 300*f**3*q + 104*f**3 - 4*f**2*q + 14564*q**2 wrt f? 6*q**2 + 1800*q + 624 What is the second derivative of 135664*j*n**2*x**2 + 1315*j*n*x**2 + 2*j*x - 22*x**2 wrt n? 271328*j*x**2 Differentiate -155*p**3 + 47*p**2 - 4*p + 140361 wrt p. -465*p**2 + 94*p - 4 Differentiate 2*n**3*w**3 + 560*n**3 - 6787*n**2*w**3 + n**2 - 3 with respect to w. 6*n**3*w**2 - 20361*n**2*w**2 Find the third derivative of -14244*a*t**5 + 2*a*t**2 - 15074*t**2 wrt t. -854640*a*t**2 What is the second derivative of -214692*x**5 - 953*x + 31 wrt x? -4293840*x**3 What is the third derivative of -2558827*t**4 - 219*t**2 + 2838? -61411848*t Find the third derivative of -37*p**6 + 1765*p**5 + 847421*p**2. -4440*p**3 + 105900*p**2 What is the third derivative of -35903*p**3 + 1946*p**2 + 15*p - 2 wrt p? -215418 Differentiate 390*b**4 + 3673*b + 2924846. 1560*b**3 + 3673 Find the third derivative of -m**5 - 582113*m**4 + 3*m**3 + 2*m**2 + 785194*m. -60*m**2 - 13970712*m + 18 Differentiate -97565*g**3 + 52905 with respect to g. -292695*g**2 Differentiate -2993*d**3*x - 8*d**3 - 13*d**2*x - 974*d**2 wrt x. -2993*d**3 - 13*d**2 What is the second derivative of 13*m**4 + 115*m**3*w**2 + 711*m*w**2 + 8*m wrt m? 156*m**2 + 690*m*w**2 What is the third derivative of 3*w**6 - 23410*w**4 - 3*w**2 + 6*w - 222? 360*w**3 - 561840*w What is
{ "pile_set_name": "DM Mathematics" }
)/sqrt(2)) + 1*(1*sqrt(1700)*5 + sqrt(1700)))**2. 69632 Simplify (4 + sqrt(7))*-4 - (0 + sqrt(7) + -4)**2 - (-2 + (-1 + sqrt(7))**2*2*6). -133 + 28*sqrt(7) Simplify ((sqrt(8) + -2*(sqrt(8) + 2) - (sqrt(88) - sqrt(88)*1)/sqrt(11)) + -3 + 1*sqrt(8)*5 + sqrt(8) + 0)**2. -140*sqrt(2) + 249 Simplify 4 + (-1*sqrt(1728)*2)/((sqrt(9) - sqrt(81)*-2 - sqrt(9)) + sqrt(9) + 2*sqrt(36)/sqrt(4) + sqrt(9) + sqrt(9))*6*-1. 4 + 96*sqrt(3)/11 Simplify (1*((-4 + sqrt(1900)*-2 + 5 - (((sqrt(1900) + 0)*3 - sqrt(1900)) + sqrt(1900) + -5)) + 3)*6)**2. -32400*sqrt(19) + 1712916 Simplify ((-3*sqrt(39)*3 + sqrt(39))/(sqrt(9)/sqrt(3)*2) + (sqrt(468) - (1 + sqrt(468))*1) + -1 + 4)**2. -16*sqrt(13) + 212 Simplify (3*-4*-1*(5 + -2*sqrt(1377) + sqrt(1377) - -5*(0 + sqrt(1377)))*-6)**2. 1866240*sqrt(17) + 114343488 Simplify (-6*(1 + (-4*((sqrt(209)*-1 - sqrt(209))*-2 + sqrt(209)))/(sqrt(704)*-2 + sqrt(704) - (sqrt(11) - (sqrt(11) + sqrt(22)/sqrt(2) - sqrt(11))*5)))*2)**2. 1440*sqrt(19) + 68544 Simplify 2 + 5 + 5 + (3 + 5*(1*sqrt(567)*-5 + sqrt(567) + sqrt(567) + -2 + -2))**2. 4590*sqrt(7) + 127876 Simplify (2*-1*(sqrt(70) - (sqrt(70) + (1*sqrt(70)*-6 - sqrt(70)))))/(-4*sqrt(160)/sqrt(4)*5). 7*sqrt(7)/20 Simplify (sqrt(3872)*2*5)/((sqrt(36) + sqrt(4))*5 - sqrt(48)/sqrt(3)) + 3. 3 + 110*sqrt(2)/9 Simplify (sqrt(33)/(sqrt(3) + 2*sqrt(108)))**2*4 - (-3*((sqrt(99) - (2 + sqrt(99) - sqrt(99))) + -2))**2. -174871/169 + 216*sqrt(11) Simplify -4*(sqrt(99)/(2*sqrt(9)) - 3*(sqrt(11) + sqrt(539)) - ((2*sqrt(99))/sqrt(9) + 6*(sqrt(11) - sqrt(99))))**2. -8019 Simplify -3 + ((3*sqrt(70)*2 + sqrt(70))*1)/(sqrt(1210) + (-1*sqrt(1210) + sqrt(1210) + sqrt(1210))*-6)*-1. -3 + 7*sqrt(7)/55 Simplify (-3*sqrt(7260)*-2*5)/((sqrt(120) + sqrt(120) + (5*(sqrt(120) + sqrt(120)*1) - sqrt(120)))/(5*sqrt(40)/sqrt(4))). 150*sqrt(5) Simplify ((-3 + sqrt(2448) + 2 - -2*sqrt(2448)*-6) + (((sqrt(2448) + -2 - sqrt(2448) - sqrt(2448)) + 1)**2 - (2 + sqrt(2448))*-4))*4. -240*sqrt(17) + 9824 Simplify 1 + sqrt(35)/(2*sqrt(45) + sqrt(45) + sqrt(5)) + -3 - (4*(-1 + sqrt(343)) + -5*(sqrt(7) - (-3*-1*sqrt(7) + sqrt(7)) - sqrt(7))). -479*sqrt(7)/10 + 2 Simplify (-3 + (-3*5*(sqrt(66) - 2*sqrt(66)))/(6*1*sqrt(12)/sqrt(2)))*-1. -5*sqrt(11)/2 + 3 Simplify ((-5 + 0 + ((sqrt(180)*3 + sqrt(180))*1 - sqrt(180)) + sqrt(180) + -2 + -1)*-4)**2. -6144*sqrt(5) + 47104 Simplify -5*(5 + (sqrt(245) + -2*sqrt(245) + 3 - -6*sqrt(245)*-1) + 4 + -2*sqrt(245)*1 + (sqrt(245) - (sqrt(245) + 0 - sqrt(245)))*5)**2. -20320 + 3360*sqrt(5) Simplify ((sqrt(14) + 2*sqrt(350))/(sqrt(84)/(-3*sqrt(12))) + ((sqrt(484) - (-5*sqrt(484) - sqrt(484))) + sqrt(484) - sqrt(484))/sqrt(2)*1)**2. 3872 Simplify 6*(((-2*sqrt(99) - sqrt(99)) + -4)**2 + 1*sqrt(99)*-3 - (sqrt(99)*-1 + -1 - (2 + sqrt(99) + 5))). 414*sqrt(11) + 5490 Simplify (-4*(sqrt(304) + 1)*6*1 - (-1*(sqrt(304) + 3*sqrt(304) + 2) + -3))**2. 3040*sqrt(19) + 121961 Simplify ((4*-1*sqrt(80))/(sqrt(10) - (1*sqrt(810) + sqrt(810) + sqrt(810) + sqrt(10))))/(sqrt(4) + 6*sqrt(144) - (sqrt(4) + sqrt(160)/sqrt(10))). 2*sqrt(2)/459 Simplify -4 + (((sqrt(931) - sqrt(931)*-1*3) + sqrt(931)*1 + -1)*3 - (sqrt(931) + 5*(3 + sqrt(931)) + sqrt(931) - (2 + sqrt(931))*-4))**2. -1456*sqrt(19) + 15568 Simplify (sqrt(40) - sqrt(80)/(sqrt(6)/sqrt(3)))/((sqrt(96) - sqrt(96)*1 - sqrt(96))/sqrt(12)) - (3 + 2*sqrt(405) - -3*(sqrt(405) + -2)). -45*sqrt(5) + 3 Simplify (-3*(sqrt(55) + sqrt(110)/sqrt(2) + sqrt(55))*-6*-1)/((sqrt(400)*2)/(sqrt(1500)/sqrt(12))). -135*sqrt(11)/4 Simplify (1*3*(sqrt(1900) + 3*sqrt(1900)) + 3*(2 + sqrt(1216) + -1))**2. 864*sqrt(19) + 393993 Simplify 5*((sqrt(300) - (sqrt(300)*3 + 0) - (1*(1 + sqrt(300)) + sqrt(300) - sqrt(300))) + (sqrt(300) + sqrt(300) + -1*(sqrt(300) + -2) - 1*sqrt(300)*6))**2. -800*sqrt(3) + 96005 Simplify -2 + (3*(-5*(-2*sqrt(77) - sqrt(77))*-1)/((2*sqrt(28) - sqrt(28)) + -2*-1*sqrt(7)))**2. 22243/16 Simplify -1 + (5*(3 + sqrt(468) + sqrt(468) + 4 + 5 + sqrt(468)*-2 + sqrt(468)))**2 + -3. 3600*sqrt(13) + 15296 Simplify (6*((1*(4 + sqrt(931) + (sqrt(931) - (sqrt(931) + 2) - sqrt(931) - sqrt(931)) + 3))**2 + 3) + -4)*-3. -17250 + 1260*sqrt(19) Simplify (4 + -5 + 4*(sqrt(200) - (sqrt(200) - sqrt(200)*1)) + (-1*(sqrt(200) + (sqrt(200)*-1 - sqrt(200))) - 4*(-1*sqrt(200) + sqrt(200))) + 1)**2. 5000 Simplify (sqrt(68)*-2*4)/sqrt(4)*3 + sqrt(170)/(sqrt(10)*3) + (0 + sqrt(612))**2. -71*sqrt(17)/3 + 612 Simplify -6*((-6*((sqrt(539) - (0 + sqrt(539) + -2 + sqrt(539))) + 2))**2 + (3*(sqrt(539) + (sqrt(539) - -2*sqrt(539)))**2 - ((-1 + sqrt(539))**2 + -1))*6). -1031868 + 11592*sqrt(11) Simplify (1*-1*(3*(0 + (sqrt(243) - (sqrt(243) + 1 + sqrt(243) + sqrt(243))))*3 + -5))**2. 4536*sqrt(3) + 78928 Simplify ((6*(sqrt(165) + sqrt(165)*2 + sqrt(165)))/(sqrt(25)/(sqrt(20)/sqrt(4))))/(((sqrt(90)/sqrt(3))/sqrt(2))/(sqrt(405) - (-1*sqrt(405) + sqrt(405)))). 216*sqrt(11) Simplify ((((sqrt(76)/sqrt(2) - sqrt(38))/sqrt(2) + sqrt(19) + sqrt(19) - (sqrt(1539) + -1))*5 - -3*sqrt(228)/(1*sqrt(192))) + 4)**2. -1233*sqrt(19)/2 + 357907/16 Simplify 0 + ((sqrt(45) - sqrt(3645))/sqrt(9)*4)**2 + 3 + ((2 + sqrt(45))*-3)**2. 108*sqrt(5) + 5564 Simplify (-5*-3*sqrt(17) + sqrt(425)*-5 - (sqrt(2448) + 1 + sqrt(2448) + sqrt(2448) + -2)*5)**2*-4. -2454900 + 7600*sqrt(17) Simplify (sqrt(1125)/sqrt(3) + (sqrt(15) - sqrt(180)/(sqrt(12)*-1 + sqrt(12) - sqrt(12))))/(5*3*sqrt(605) + sqrt(605)). 7*sqrt(3)/176 Simplify -5*((1 + sqrt(252))*2 + -3 + sqrt(252)*-1)**2 - (sqrt(252) + sqrt(252) + -2 + 4 + 3*sqrt(252) + -5)**2. -7574 + 240*sqrt(7) Simplify (sqrt(704) - (sqrt(704) + -3 - sqrt(704))*4)**2*-1 + -1 + (sqrt(539) - (1*sqrt(539)*6)**2). -20253 - 185*sqrt(11) Simplify ((sqrt(252)*4 - sqrt(252))*-6 - 1*sqrt(252)*3)**2 + (5*(sqrt(252) + 1) + (sqrt(252) - (1 + 0 + sqrt(252))))**2. 240*sqrt(7) + 117448 Simplify (-4*3*sqrt(102) + 2*(sqrt(102)*4 + sqrt(102) - sqrt(102)))/(6*(((-1*sqrt(168))/sqrt(4) - sqrt(42)) + sqrt(42))/sqrt(7)). 2*sqrt(17)/3 Simplify (sqrt(1216) - (sqrt(1216)*1)**2)*1 + (6*((-1*sqrt(1216) - sqrt(1216)) + sqrt(1216)))**2 + -4*-3*(sqrt(209)/sqrt(99) + sqrt(19)). 24*sqrt(19) + 42560 Simplify 1 + sqrt(114)/sqrt(6) - sqrt(3800)/sqrt(2) - (sqrt(684) - (sqrt(684) - (-5 + (1*sqrt(684))**2)) - sqrt(684))*-6. -45*sqrt(19) + 4075 Simplify ((-2*sqrt(77)*1 - (sqrt(77) + 3*(sqrt(77)*2 - sqrt(77)) - sqrt(77)))/((sqrt(11) - -2*sqrt(1331))*-6) + -5 + 4)**2. -5*sqrt(7)/69 + 19219/19044 Simplify (((((sqrt(156) + 1*sqrt(156))*-3 - sqrt(156)) + sqrt(156))*2)/(sqrt(6)/(sqrt(2)*4*1))*2)**2. 479232 Simplify -3*(-3 + (sqrt(108) + (-4*-1*sqrt(108))**2)*-1 + (sqrt(12)/(sqrt(40)/(sqrt(10)*-1))*-2)**2). 18*sqrt(3) + 5157 Simplify ((sqrt(6050)*2 + sqrt(6050) + sqrt(6050))*-3*5)/(sqrt(40)/sqrt(64) + (sqrt(1440) - sqrt(1440)*3)). 528*sqrt(5)/19 Simplify ((-6*-2*sqrt(495) + sqrt(495) + sqrt(495))/(sqrt(99)/(-2*sqrt(11) + sqrt(11))))/(1*-4*(sqrt(720) + sqrt(720) + -3*sqrt(720))). -7*sqrt(11)/24 Simplify (3*3*sqrt(50) - sqrt(800)*3)/(-2*-2*sqrt(10)*-2*4). 3*sqrt(5)/32 Simplify ((sqrt(18) - sqrt(198)/(sqrt(891) + sqrt(11)))*3)/(-1*sqrt(18)/sqrt(2)*-6). 9*sqrt(2)/20 Simplify ((-2*sqrt(114)*-2 - (sqrt(114) + -1*sqrt(114)*5))*-3)/(-3*(sqrt(6)*-2 - sqrt(6)) - (sqrt(6) + (-1*sqrt(66))/sqrt(11))) + -2. -8*sqrt(19)/3 - 2 Simplify -2 + 5 + (-4*(sqrt(242) + -1) + sqrt(242)*-3 + 2)**2 + -3 + (sqrt(242) - (sqrt(242) - 1*(-1 + sqrt(242))**2))*-6. -792*sqrt(2) + 10436 Simplify -2*((sqrt(88) + (sqrt(88) - -2*sqrt(88))*-6)/sqrt(8) + 1 - ((sqrt(110) - ((sqrt(110)*2 + sqrt(110) - sqrt(110)) + sqrt(110)))*6)/sqrt(10)*-2)*6. -12 + 492*sqrt(11) Simplify 3*(-1 + (((sqrt(156) - 2*sqrt(156))*1 - (sqrt(156) - sqrt(156)*2)*-6)/((sqrt(84) + -1*sqrt(84))/sqrt(7) + sqrt(12) - -1*sqrt(1452)))**2). 493/48 Simplify -2 + 4*(1*sqrt(95)*4*4)/((sqrt(540) - sqrt(540)*-1)/sqrt(12) - sqrt(45)). -2 + 64*sqrt(19)/3 Simplify (5*(-2 + 0 + -2*sqrt(704) + 3 + 4 + -2))**2. -2400*sqrt(11) + 70625 Simplify 1 + ((0 + sqrt(1053))*-2 - (-2*sqrt(1053) + -2))**2 + 1*(0 + (sqrt(1053) + 3)**2). 54*sqrt(13) + 1067 Simplify 3 + (sqrt(65)*2*-4 - -5*sqrt(65)*-2)/(sqrt(80) + (1*sqrt(80)*3 - sqrt(80))). -3*sqrt(13)/2 + 3 Simplify (2*sqrt(1900) + 2 + 5*(-2 + sqrt(1900)) - (sqrt(190) + (sqrt(190) - sqrt(190)*-2*-4))/(5*sqrt(20)/sqrt(2)))**2. -5696*sqrt(19)/5 + 2409584/25 Simplify (-6*(1*sqrt(204) + sqrt(2
{ "pile_set_name": "DM Mathematics" }
er? 733 What is the square root of 6648792 to the nearest integer? 2579 What is the square root of 907068 to the nearest integer? 952 What is the cube root of 14308720 to the nearest integer? 243 What is 1531930 to the power of 1/2, to the nearest integer? 1238 What is the third root of 2984 to the nearest integer? 14 What is 65188 to the power of 1/2, to the nearest integer? 255 What is the third root of 17386608 to the nearest integer? 259 What is the square root of 275061 to the nearest integer? 524 What is 10402773 to the power of 1/2, to the nearest integer? 3225 What is 79471 to the power of 1/3, to the nearest integer? 43 What is 56868 to the power of 1/3, to the nearest integer? 38 What is 327095 to the power of 1/2, to the nearest integer? 572 What is the cube root of 1476886 to the nearest integer? 114 What is 169896 to the power of 1/9, to the nearest integer? 4 What is 8730027 to the power of 1/3, to the nearest integer? 206 What is the square root of 277151 to the nearest integer? 526 What is the square root of 697183 to the nearest integer? 835 What is 153435 to the power of 1/3, to the nearest integer? 54 What is the third root of 16452420 to the nearest integer? 254 What is 389197 to the power of 1/3, to the nearest integer? 73 What is the sixth root of 312095 to the nearest integer? 8 What is the square root of 498126 to the nearest integer? 706 What is the tenth root of 46019 to the nearest integer? 3 What is the fourth root of 228924 to the nearest integer? 22 What is 21389829 to the power of 1/3, to the nearest integer? 278 What is the cube root of 353468 to the nearest integer? 71 What is the third root of 10644814 to the nearest integer? 220 What is the square root of 27353 to the nearest integer? 165 What is 11664811 to the power of 1/2, to the nearest integer? 3415 What is the fifth root of 306130 to the nearest integer? 13 What is 3258632 to the power of 1/2, to the nearest integer? 1805 What is the fourth root of 9217988 to the nearest integer? 55 What is the third root of 10922625 to the nearest integer? 222 What is 1348220 to the power of 1/6, to the nearest integer? 11 What is 86397 to the power of 1/8, to the nearest integer? 4 What is 347314 to the power of 1/2, to the nearest integer? 589 What is the square root of 164106 to the nearest integer? 405 What is 1553551 to the power of 1/3, to the nearest integer? 116 What is the fifth root of 7545601 to the nearest integer? 24 What is the seventh root of 5884906 to the nearest integer? 9 What is the tenth root of 9522731 to the nearest integer? 5 What is 1191393 to the power of 1/8, to the nearest integer? 6 What is the cube root of 335357 to the nearest integer? 69 What is the square root of 1022085 to the nearest integer? 1011 What is the square root of 13713185 to the nearest integer? 3703 What is the square root of 322676 to the nearest integer? 568 What is 4892409 to the power of 1/8, to the nearest integer? 7 What is 2720582 to the power of 1/5, to the nearest integer? 19 What is the tenth root of 289975 to the nearest integer? 4 What is 1488925 to the power of 1/4, to the nearest integer? 35 What is the seventh root of 915596 to the nearest integer? 7 What is 218304 to the power of 1/2, to the nearest integer? 467 What is the seventh root of 19422159 to the nearest integer? 11 What is 102146 to the power of 1/7, to the nearest integer? 5 What is 2479235 to the power of 1/8, to the nearest integer? 6 What is the square root of 5377930 to the nearest integer? 2319 What is 1718200 to the power of 1/9, to the nearest integer? 5 What is the fifth root of 181456 to the nearest integer? 11 What is the cube root of 5387279 to the nearest integer? 175 What is 20827578 to the power of 1/2, to the nearest integer? 4564 What is 12847109 to the power of 1/3, to the nearest integer? 234 What is 1441902 to the power of 1/2, to the nearest integer? 1201 What is 32652402 to the power of 1/5, to the nearest integer? 32 What is the fifth root of 72553 to the nearest integer? 9 What is 59081 to the power of 1/8, to the nearest integer? 4 What is 965696 to the power of 1/10, to the nearest integer? 4 What is the square root of 4434589 to the nearest integer? 2106 What is 2812813 to the power of 1/8, to the nearest integer? 6 What is 19524 to the power of 1/5, to the nearest integer? 7 What is the fifth root of 824029 to the nearest integer? 15 What is the square root of 141608 to the nearest integer? 376 What is the cube root of 3277279 to the nearest integer? 149 What is 729469 to the power of 1/3, to the nearest integer? 90 What is 7150594 to the power of 1/2, to the nearest integer? 2674 What is 2769300 to the power of 1/6, to the nearest integer? 12 What is 2303457 to the power of 1/5, to the nearest integer? 19 What is 283051 to the power of 1/2, to the nearest integer? 532 What is 3788649 to the power of 1/3, to the nearest integer? 156 What is 218670 to the power of 1/3, to the nearest integer? 60 What is 13779325 to the power of 1/3, to the nearest integer? 240 What is 19484555 to the power of 1/4, to the nearest integer? 66 What is 194265 to the power of 1/2, to the nearest integer? 441 What is 351420 to the power of 1/10, to the nearest integer? 4 What is 107395 to the power of 1/7, to the nearest integer? 5 What is the sixth root of 95859 to the nearest integer? 7 What is 792050 to the power of 1/10, to the nearest integer? 4 What is the seventh root of 118568 to the nearest integer? 5 What is the third root of 131199 to the nearest integer? 51 What is 2166365 to the power of 1/2, to the nearest integer? 1472 What is 4400965 to the power of 1/2, to the nearest integer? 2098 What is the third root of 218994 to the nearest integer? 60 What is the cube root of 170881 to the nearest integer? 55 What is 14735783 to the power of 1/3, to the nearest integer? 245 What is the cube root of 45316 to the nearest integer? 36 What is 85499 to the power of 1/3, to the nearest integer? 44 What is the square root of 2061891 to the nearest integer? 1436 What is the fifth root of 2987146 to the nearest integer? 20 What is the third root of 9821133 to the nearest integer? 214 What is the eighth root of 8540436 to the nearest integer? 7 What is the square root of 2376342 to the nearest integer? 1542 What is 797843 to the power of 1/4, to the nearest integer? 30 What is 225901 to the power of 1/4, to the nearest integer? 22 What is 9912 to the power of 1/3, to the nearest integer? 21 What is the cube root of 434766 to the nearest integer? 76 What is 591965 to the power of 1/2, to the nearest integer? 769 What is 17322333 to the power of 1/2, to the nearest integer? 4162 What is 2764117 to the power of 1/2, to the nearest integer? 1663 What is 6580795 to the power of 1/9, to the nearest integer? 6 What is the square root of 5016520 to the nearest integer? 2240 What is the cube root of 96197 to the nearest integer? 46 What is the cube root of 548814 to the nearest integer? 82 What is the third root of 3202485 to the nearest integer? 147 What is the ninth root of 163580 to the nearest integer? 4 What is 12879452 to the power of 1/2, to the nearest integer? 3589 What is 10753782 to the power of 1/3, to the nearest integer? 221 What is 9621098 to the power of 1/2, to the nearest integer? 3102 What is 14598334 to the power of 1/3, to the nearest integer? 244 What is 1910792 to the power of 1/10, to the nearest integer? 4 What is 218705 to the power of 1/2, to the nearest integer? 468 What is 39698 to the power of 1/7, to the nearest integer? 5 What is the third root of 70911 to the nearest integer? 41 What is the tenth root of 160290 to the nearest integer? 3 What is 1190523 to the power of 1/3, to the nearest integer? 106 What is the third root of 1613979 to the nearest integer? 117 What is the third root of 1041407 to the nearest integer? 101 What is the cube root of 24340807 to the nearest integer? 290 What is the tenth root of 6156459 to the nearest integer? 5 What is the cube root of 687730 to the nearest integer? 88 What is 5384680 to the power of 1/2, to the nearest integer? 2320 What is the third root of 2559655 to the nearest integer? 137 What is the fourth root of 638201 to the nea
{ "pile_set_name": "DM Mathematics" }
(-172)/16). Let g(f) = f**2 - 9*f - 23. Let k be g(l). Let c be 1/2*6/(-8). What is the closest to k in 0.1, 3/5, c? c Let q be (-27)/(-126)*-2*4/6. Which is the closest to 0.3? (a) 0.4 (b) q (c) 2/3 a Let j be 5/(-3)*(-2)/(-5). Suppose 90*x = 126*x + 36. What is the closest to 1 in -3, j, x? j Let x = -1165/4 + 291. What is the closest to 2/7 in -13, x, -4? x Let d = 14.92 + -14.52. Let m(u) = u - 4. Let p be m(7). Which is the closest to -2? (a) -1/3 (b) p (c) d a Let o = -4.87 + -0.13. Let r = -2.048 + 1.648. What is the nearest to -2 in -0.01, r, o? r Let k = 197/803 + 2/73. What is the closest to -1 in k, -4, 0.5? k Let v = -899.78 + 899. What is the nearest to v in 5, -0.2, 0.3? -0.2 Let b = -5 + 4.8. Suppose 0 = 6*j + 4*j + 20. What is the closest to -9 in b, -2/7, j? j Let t = -416 - -416.1. Which is the nearest to t? (a) -1/2 (b) 6 (c) -3/4 a Let s = 6 + -8. Let l be 2 + s + (-8)/(-4). Suppose 3*z = 5*k + 9, 2*k + l - 14 = -4*z. What is the closest to 0 in 5, 1, z? 1 Let o be 8/60*-1 + (-37)/1110. Which is the nearest to 2? (a) -1 (b) 7 (c) o c Let o = -47.809 + 48. Let x = o - -0.009. Which is the closest to x? (a) 2/3 (b) -2/19 (c) -0.2 b Let l = 0.573 + -5.573. What is the closest to 2/9 in 1/4, l, -0.2? 1/4 Suppose 49 = -0*s + 7*s. Let o be 4 + ((-154)/6)/s. Which is the nearest to -1/5? (a) o (b) 1 (c) 0.5 a Suppose -y + 3 = -3*j, -2*j = -3*j - 1. Let q = 295 - 296. What is the closest to -0.1 in y, q, 5? y Let j = -10 + 5. Let t = 41 + -42.48. Let o = t + 0.78. Which is the nearest to 0.1? (a) o (b) 2 (c) j a Let b be ((-30)/(-510))/((-5)/10). What is the closest to -162 in 5, b, -0.1? b Suppose 2*f = 3*f - 3*k + 1, 13 = 4*f + 5*k. Let z = -3.9 + 7.9. Which is the closest to 0.06? (a) f (b) -2/19 (c) z b Let q = -25 + 24.7. What is the nearest to -1/4 in -0.5, -5, q? q Let z = -0.1635 - -0.1135. Which is the nearest to z? (a) 0 (b) -6 (c) 5 (d) 3/7 a Let z be (-2)/4 + 34/36. Let j be 6/14*(-2)/(-3). Let q = -73 - -80. Which is the nearest to j? (a) q (b) 0.3 (c) z b Let w = 35.2 + -30.2. What is the nearest to 0 in -1.5, w, -3/7? -3/7 Let q = 4579/5 - 909. What is the nearest to 1 in 1/4, 4, q? 1/4 Let n(z) = z**3 - 4*z**2 - 14*z + 56. Let u be n(4). What is the closest to -0.1 in u, -0.1, -4/3? -0.1 Let y be 0/(-2) - 4/2. Let l = -1076.04 + 1058. Let c = 18 + l. What is the closest to -1 in c, y, 0.3? c Let f = -4 - -1. Let z = -3.821 - 0.179. What is the nearest to -2 in z, -2, f? -2 Let a = 0.088 - 1.088. What is the closest to -2 in 0.1, a, 6? a Let h = 1059/2 + -531. Which is the closest to -1/4? (a) 0.1 (b) 0 (c) h b Let f = -6.497 - -6.79. Let g = f - -0.007. Which is the nearest to 0.2? (a) -2 (b) -0.4 (c) g c Let d = -5976 - -17930/3. Let s be (-4)/14 + (-16)/42. Suppose n = -4*j - 21, -3*j = 2*n - 8 + 30. What is the closest to -0.1 in n, d, s? s Let v be 9/(-15) - (-2694)/(-10). Let m be ((-20)/v)/(1/3). Let n be 70/(-21) + 2/6 - -3. What is the nearest to n in m, -0.3, 4? m Let d be ((-1)/18)/(3/12). Let z = 3.293 - -0.007. Let m = 0.3 - z. What is the nearest to -2/5 in -0.4, d, m? -0.4 Let h = -131 - -124.9. Let s = -7 - h. Let n = s - -1.2. Which is the closest to 1? (a) -2/3 (b) -6/7 (c) n c Let t(n) = -n**2 - 5*n + 131. Let h be t(-14). What is the closest to 8 in 3, h, 2? h Let k = 2401.9 + -2402. What is the closest to k in 0.3, 5, -16/13? 0.3 Let f = 17.8 + -12.1. Let m = 5.8 - f. Let v = -1.1 - -5.1. What is the closest to m in v, -5, -0.5? -0.5 Let o = -87/824 + -2/103. Which is the nearest to 0.8? (a) o (b) -3 (c) 0.5 (d) 1 d Let b = 0.5 - 0.3. Let g be (2/7)/(-1 - 96/(-42)). What is the closest to g in 0.1, b, -0.1? b Let o be ((-8)/(-30))/((-18)/(-45)). Suppose -1 + 3 = x. Suppose 0*r = -w - r - 1, -5*w - x*r + 4 = 0. Which is the nearest to w? (a) 0.3 (b) o (c) 0.5 b Let k = 287 + -287. Suppose h - 4*h - 21 = 0. Which is the nearest to h? (a) k (b) 2/3 (c) 1/5 a Let j = 298 + -210. Let r = j + -91. Which is the nearest to -0.1? (a) 0.4 (b) r (c) -1/7 c Let k = -3.4 + 3. Let z = 0.643 - 0.543. What is the nearest to k in z, 2/9, 2? z Let i be (-12)/(-10)*((-412)/(-56) + -7). What is the nearest to -2 in i, 0.03, 2/3? 0.03 Let h = 0.073 + -0.173. What is the closest to h in 1.4, 0.2, -3? 0.2 Let d = 0.017 - -0.483. Let t = 8 + -11. What is the nearest to 2/3 in d, -2, t? d Let a = -0.9 - -1.7. Let n = a - 5.8. What is the nearest to -2 in -0.4, n, 4? -0.4 Let s = 18 - 23. Let a be (-2 + (-26)/(-12))/(34/(-255)). What is the closest to 0 in a, s, -2/9? -2/9 Let c(v) = 15*v - 79. Let q be c(6). Let h = -19387/1875 + 4/625. Let u = h + q. What is the nearest to u in -0.5, -0.3, -2? -0.3 Let z = 222 - 223. What is the nearest to -13 in z, -4/5, 2/3? z Suppose 10 = -3*v + v. Let p be v/(-35) - (-20)/(-42). What is the closest to 2/3 in 2/15, p, 1/6? 1/6 Let g(r) = -1 - 1 + 3*r + 11 + 2. Let q be g(-3). Which is the closest to q? (a) 4 (b) -1/16 (c) -1/2 a Let u = 581 - 580.8. What is the closest to 3 in u, -5, 2/9? 2/9 Let f = -236 + 281. Which is the nearest to f? (a) 2/17 (b) 0.3 (c) 4/7 c Let c = -108/7 - -15. Let w = -0.979 - 0.021. Let j = 1 + -0.5. What is the closest to -2/5 in w, j, c? c Suppose 5*i + 4*y - 121 = -98, 0 = 2*i - 2*y - 2. Which is the closest to i? (a) 0.4 (b) -1 (c) -3 (d) -2/13 a Let x = -42.3 + 41.8. What is the closest to -0.4 in -2/5, x, 1/4? -2/5 Suppose 3*g + 0 + 3 = 0. Let b be -1*(-6)/(-24) + (-143)/(-604). Let j = b - -316/1057. What is the closest to j in 4, g, 1/4? 1/4 Let x = 223/1392 - -3/464. What is the nearest to -1/18 in -2/5, 5, -2, x? x Let u = -1.6 + -2.7. Let l = -0.7 + u. Let p = -1.2 + -2.8. Which is the nearest to 1/3? (a) 0.2 (b) l (c) p a Let c = -261/2 + 129. Let g = 7/5 - 16/15. What is the nearest to g in c, 2/15, 4? 2/15 Let b = -70 + 29. Let y be 6/(-1) + 10071/216. Let g = y + b. What is the closest to -1 in g, 4, 4/5? g Let i = 1.1 - 0.1. Let n be (-30)/(-36) + 2/(-6). Let g = -3.866 - 0.134. Which is the closest to n? (a) -0.3 (b) g (c) i c Let t = 151 - 1059/7. What is the closest to -2/21 in 2/3, t, 5? t Let n = -0.0072 + -1.4128. Which is the nearest to -2/15? (a) -3 (b) n (c) 0 c Let p(j) = -j**3 - j**2 + 10*j + 12. Let r be p(-3). Let h be (-17)/36 + (-2)/(-8). Which is the closest to r? (a) -4 (b) -1/6 (c) h b Let y = 0.22 - 12.22. Let c = y - -10. Let f = c - 0. What is the closest to f in -0.2, -1, -6/7? -1 Let g be 2*2*(-3)/(-28). Let m = 24 + -47/2. Let y = -80 - -84. What is the nearest to m in y, g, 3? g Let v = -12.93 - -13. Let p = -2587 + 2586. Which is the nearest to 1/3? (a) p (b) v (c) -2 b Let g = 149/1239 - -4/177. Which is the nearest to 1? (a) 9 (b) -0.4 (c) g c Let w = -5 + 2. Let i = 91 - 457/5. Let x = 229 + -227. What is the closest to x in i, 5, w? i Let o = -128.6 + 129. Which is the nearest to 1? (a) 8 (b) 0.3 (c) o c Let n = -10.84 + 8.84. Which is the closest to -2/3? (a) n (b) -4 (c) -1/6 (d) -23 c Let g be (-1)/4*20/(-15). Let p = -13.7 + 3.7. What is the closest to 1/4 in 2, p, g? g Let g = -396 + 393. Let v = 1 + -2. Let f = -78 + 467/6. Which is the nearest to 0? (a) g (b) f (c) v b Let i = -0.03 + 2.03. Let v be (-2)/(-5)*735/(-882). Which is the closest to i? (a) 2 (b) v (c) -0.1 a Let f = 9.6 - 10.6. Let h be 2*(3/(-6) + 1). Let j = 0 + h. Which is the closest to f? (a) 2 (b) -1/3 (c) j b Let m = -6 + 5.9. Let s = 0.224 - 0.724. What is the nearest to m in -3, s, 5? s Let o = -219 + 220. Which is the closest to o? (a) -5 (b) -0.1 (c) 6 b Let o = 135 - 139. Let y = -1 - -0.96. What is the closest to 0.2 in y, o, 0.3? 0.3 Suppose -2*n + 0*n + 10 = 0, -p = -n + 5. Let z be (-4 - -1) + 1 + 1. Let x = 119/3 - 40. What is the nearest to x in z, -4, p? p Let n = -0.306 - -3.306. What is the closest to 1/2 in 9, -1/4, n? -1/4 Let q = -381.622 - -382. Let p = -0.022 - q. What is the closest to 0.1 in 0.4, p, -4? 0.4 Let x(k) = k**2 + 7*k. Let o be x(-7). Let s be (-2)/(-3)*-9*3/(-6). Let d be ((-44)/10)/(-2) + -2. Which is the nearest to d? (a) s (b) -1 (c) o c Let t(z) = 7*z - 72. Let u be t(11). What is the closest to -0.2 in -4, u, 0.3, 1/2? 0.3 Let i = 125.1 + -125. What is the closest to i in -2/3, -0.5, 4/5? -0
{ "pile_set_name": "DM Mathematics" }
+ -12. What is the greatest common divisor of s and 12? 12 Suppose 0 = 9*u - 822 + 669. Calculate the highest common divisor of 1411 and u. 17 Suppose 0 = -0*h - 2*h + 34. Let t(p) = -p**2 - 14*p + 1. Let s be t(0). What is the greatest common divisor of h and s? 1 Let y(r) = 3*r**2 + 2*r - 1. Let p be y(1). Let i(g) = 0*g + 4*g + 17 - g. Let l be i(5). What is the greatest common factor of l and p? 4 Let s(m) = 41*m + 16. Let f(d) = -83*d - 32. Let u(w) = 6*f(w) + 11*s(w). Let k be u(-3). Calculate the greatest common divisor of k and 5. 5 Suppose 4*c + 190 = 3*i, -4*i - 9*c + 266 = -8*c. Calculate the greatest common factor of 1782 and i. 66 Suppose 2*s - 18*c + 17*c = 21, -3*c = -5*s + 53. What is the highest common factor of s and 76? 2 Let z(m) = m**3 + 14*m**2 - 9*m - 10. Let g be z(-14). Suppose -3*s = 4*d - g, -4*d - 201 = -5*s - 3*d. What is the greatest common divisor of s and 10? 10 Let g = 314 + -274. What is the highest common divisor of g and 8? 8 Suppose 23 - 7 = 8*g. Let h be 92/12 - g/3. Suppose -3*j - 3*p - 16 = -h*j, -2*p - 8 = 0. Calculate the highest common factor of j and 4. 1 Let t be 35/30*-14*-6. Suppose -4*r = -338 + t. Suppose -2*u + 34 = -4*a, 8*u + 2*a - 73 = 3*u. Calculate the highest common divisor of r and u. 15 Let u(q) = q**3 - 7*q**2 - 36*q + 14. Let z be u(11). What is the greatest common factor of 136 and z? 34 Let o be (-21)/(-28) - (3 - 2919/28). What is the greatest common divisor of 1258 and o? 34 Let k = 12 + -9. Calculate the greatest common divisor of k and 69. 3 Suppose -h - 37 + 154 = 0. Calculate the greatest common factor of h and 9. 9 Suppose 3*r = -4*w - 54, 2*r - 4*w - w = -13. Let v be (147/r)/((-3)/12*3). What is the greatest common divisor of 126 and v? 14 Let h(v) = v**2 + 5*v + 6. Let c be h(-4). Suppose 11*w + 15 = 37. What is the highest common factor of c and w? 2 Let t = -991 - -1019. What is the highest common factor of 868 and t? 28 Suppose 172*m - 158*m - 196 = 0. What is the highest common divisor of 224 and m? 14 Let d = -918 + 925. Let x(a) = -5*a - 3. Let h be x(-2). Calculate the highest common factor of h and d. 7 Let n = -67 + 107. Suppose 3*o - 4 = -n. Let i = 43 + o. What is the highest common divisor of i and 62? 31 Suppose 7*o = 4*t + 2*o - 163, 2*o = -2*t + 68. Suppose 2 = -7*p + t. What is the greatest common divisor of p and 40? 5 Let r be ((-99)/22)/(15/(-2250)). What is the highest common divisor of r and 50? 25 Let o(i) = i**3 - 5*i**2 - 2*i + 8. Let t be o(7). What is the highest common divisor of 138 and t? 46 Suppose 0*n + 46 = n. Let m(t) = t**2 - 7*t - 9. Let l be m(-6). What is the greatest common divisor of n and l? 23 Suppose -3*n + 16 = i, 8 + 0 = 4*i - 2*n. Suppose -i*u + 4*s = s - 108, -5*u + 134 = -4*s. What is the highest common factor of u and 300? 30 Let d(l) = l**2 - 4*l - 17. Let c be d(7). Suppose -2*u - 4*p + 272 = -160, p = -c. Suppose 5*h - 36 = 104. Calculate the greatest common divisor of h and u. 28 Let z(n) = 13*n**2 + 2*n - 32. Let v be z(-8). Calculate the greatest common divisor of v and 16. 16 Suppose 6*s = 56 - 8. Calculate the greatest common factor of 8 and s. 8 Suppose 0 = 3*h - 189 - 246. Let i be 1*(165 + -1) - 3. Suppose 5*n + 4*c - i = -0*c, c = 4. What is the highest common factor of n and h? 29 Let x(q) = -3 - 12 - 10*q**2 + q**3 + 4*q**2. Let l be x(9). Calculate the highest common factor of l and 38. 38 Suppose -2*t + 67 = 5*v, -3*t + 33 = 4*v - v. Let d(o) = -2*o + 1. Let r be d(-2). What is the highest common factor of v and r? 5 Let j be (2 - 22/(-4))/(117/780). Calculate the highest common factor of j and 80. 10 Suppose 2*g = -s + 273, -g + 3*s = 63 - 196. Calculate the highest common divisor of 32 and g. 8 Suppose 16 = -5*v + 406. Let y be (3 - 3) + -3 + v. What is the highest common divisor of y and 30? 15 Suppose 359*h + 1425 = 364*h. Calculate the highest common factor of h and 15. 15 Let w be 2*((-315)/(-10))/9. Suppose -x + w = q, -q = -4*q. What is the highest common factor of 56 and x? 7 Let q(c) = -c**2 + 70. Let m be q(6). Calculate the highest common divisor of m and 442. 34 Let w(f) = -f**2 - 13*f + 2. Let j be w(-13). Let i be ((-22)/j)/((-2)/14). Calculate the highest common divisor of 7 and i. 7 Suppose 44*u = 46*u - 544. What is the greatest common divisor of u and 16? 16 Let r(k) = k**3 - k**2 - k + 3. Let x be r(3). Let m = -12 + 20. Suppose m*y - 135 = 3*y. Calculate the highest common factor of y and x. 9 Suppose -9*j - 16464 = -37*j. What is the highest common divisor of 24 and j? 12 Suppose -4*h = -37 + 1. Calculate the highest common factor of h and 387. 9 Let y(p) = 7*p**2 - p - 4. Let m be y(4). Suppose 158 = 21*h - 115. Calculate the greatest common divisor of h and m. 13 Let i(c) = c**2 - 15*c - 12. Let v be i(16). Suppose -l = -3*o + 1 + 56, 2*l + v*o + 84 = 0. Let s = -16 - l. Calculate the greatest common factor of s and 8. 8 Suppose -x + 4 = 2, -242 = -2*g - x. Let s(b) = b**2 - 21*b + 35. Let n be s(20). Calculate the greatest common factor of g and n. 15 Suppose 4*d - 15 = 5*k - 70, -5 = -d. Let a be 8/(1 - -3) + 58. What is the highest common factor of a and k? 15 Let g be (2/(-4))/((-5)/40). Suppose g*h + 2 = 2*h. Let a be (-1 + 2)*h - -78. What is the greatest common divisor of 11 and a? 11 Suppose 3*d = -4*k + 256, 3*d + 9*k - 251 = 4*k. What is the greatest common factor of 207 and d? 23 Let u = -760 + 771. Calculate the greatest common divisor of 792 and u. 11 Suppose -5*a = -n - 16, 16 = 3*n - 5*a + 6*a. Calculate the highest common factor of n and 54. 2 Let z(w) = 14*w - 32. Let p be z(5). Suppose b - 1 = -3, -5*d + 4*b + p = 0. Calculate the highest common divisor of 18 and d. 6 Let s be (-2 - -4) + 1*3. Suppose 0 = q + 4*v - 26, 4*v = -s*q + v + 96. Let j be q/(-81) + (-1714)/(-18). What is the highest common factor of 19 and j? 19 Let w = 891 - 851. What is the highest common factor of 690 and w? 10 Let j = 24 - 22. Suppose -j*v + 34 + 26 = 0. Calculate the greatest common factor of v and 45. 15 Suppose 3*j + f = 754, 3*j + 3*f + 270 = 1020. What is the highest common divisor of 56 and j? 28 Let a(g) = -g**2 + 14*g - 29. Let w be a(11). Suppose 9*t + 75 = i + w*t, -271 = -5*i - t. Calculate the greatest common factor of i and 11. 11 Suppose r - 3*b + 11 = 3*r, 5*r + b - 21 = 0. Suppose -r*s = -61 + 17. Let d be s*-5*8/(-20). What is the highest common factor of 22 and d? 22 Let q be ((-8)/28)/(6/(-147)). What is the greatest common divisor of q and 14? 7 Suppose -175*f = -162*f - 182. Calculate the highest common factor of f and 20. 2 Suppose 456*c - 468*c + 1620 = 0. Let b = 30 + -15. What is the greatest common factor of c and b? 15 Let l(f) = -f**2 - 15*f - 4 + 14 + 15. Let t be l(-16). Calculate the greatest common factor of 72 and t. 9 Suppose -10*o + 56 = -2*o. Let j = 2 - -47. Calculate the greatest common divisor of o and j. 7 Let b(z) = -10*z**3 + 2*z**2 + 24*z + 34. Let c be b(-4). What is the highest common factor of 366 and c? 122 Suppose 5*n - 38 = 147. Let j(a) = 8*a**2 + 9*a - 7. Let f be j(-5). Calculate the greatest common divisor of n and f. 37 Suppose 0*a + a - 5*t + 18 = 0, 2*a + 3*t - 16 = 0. Suppose -n = -2*l - 2*l + 1227, -a*n = 3*l - 934. What is the highest common factor of 28 and l? 28 Let x(q) = -30*q**3 + q**2 + 2. Let a be x(-2). Let n be (-3)/5 - a/(-10). Suppose -288 = -9*v + v. What is the highest common factor of n and v? 12 Let q = -79 - -164. What is the highest common divisor of 5 and q? 5 Let i be (-1)/(3/(504/(-3))). Let o be 28 - 2 - (0/(-1) - 2). What is the greatest common divisor of i and o? 28 Let f be 55 - ((-4)/1 + 3 + -2). Calculate the highest common divisor of f and 29. 29 Let g = 13 - 23. Let q = g - -18. Suppose 5*h = 2*c + 322, 4*h + 4*c + 15 - 267 = 0. What is the greatest common divisor of q and h? 8 Let s be (-1650)/(-44)*12/9. Suppose -2*g + 65 = 3*h, 13 = -2*g + 3. Calculate the highest common divisor of s and h. 25 Suppose 0 = -29*b + 7738 + 6617. What is the highest common divisor of b and 15? 15 Let s(f) = 5*f + 18. Let x be s(-13). Let h = -20 - x. Suppose -i - 7 = -h. What is the highest common factor of 60 and i? 20 Let f be (-2)/(-1) + (-232)/(-4). Let m be f + (2 - (-1)/1). What is the greatest common divisor
{ "pile_set_name": "DM Mathematics" }
46*j**2. Let f(m) be the first derivative of w(m). Factor f(u). -(u - 14)**2/5 Let r(v) be the first derivative of -v**4/12 + 11*v**3/9 - 5*v**2/3 - 73. Determine u, given that r(u) = 0. 0, 1, 10 Let g be 540/(-300) - 9/(-5). Factor 4/7*k**4 - 16/7*k**2 + 12/7*k**3 + g*k + 0. 4*k**2*(k - 1)*(k + 4)/7 Let l(h) be the second derivative of -h**4/60 + 14*h**3/15 - 64*h - 1. Find g such that l(g) = 0. 0, 28 Let q(z) be the third derivative of -3/40*z**4 + 0 + 1/200*z**6 + z**2 + 0*z**5 + 1/5*z**3 + 0*z. Solve q(s) = 0. -2, 1 Let c(q) be the second derivative of q**6/150 + q**5/10 + 37*q**4/60 + 2*q**3 + 18*q**2/5 - 302*q. Factor c(b). (b + 2)**2*(b + 3)**2/5 Suppose -5 = -c + n, 0*n - n - 13 = -3*c. Suppose 0 = 2*w + 3*x - c, -5*w + 4 = 3*x - 6. Find s, given that -1/2*s + 5/4*s**w - s**3 + 0 + 1/4*s**4 = 0. 0, 1, 2 Let v(l) be the third derivative of 0 + 13/540*l**6 + 0*l - 1/5*l**5 + 33*l**2 + 5/9*l**4 - 8/27*l**3. What is y in v(y) = 0? 2/13, 2 Let z be 9/4*(-80)/(-30). Suppose 5*u + o = z*o, 5*u - 10 = 3*o. Factor 27*p + 8*p**3 + 2*p**3 + 6 + u*p**3 + 36*p**2. 3*(p + 1)**2*(5*p + 2) Let a(t) = -t**2 + 65*t - 64. Let g(i) = 3*i**2 - 162*i + 159. Let o(p) = -12*a(p) - 5*g(p). Find z such that o(z) = 0. 1, 9 Suppose u - 11*u = -30. Suppose u*g - m - 3 = 0, 2*m = 3*m - 3. Factor -2/11 + 2/11*w**g + 2/11*w**3 - 2/11*w. 2*(w - 1)*(w + 1)**2/11 Determine z, given that 17*z**2 - 71*z**2 - 24 + 31*z + 35*z - 6*z - 3*z**4 + 21*z**3 = 0. 1, 2 Suppose 0*f - 3/2*f**2 + 3/2*f**4 + 1/2*f**5 + 0 - 1/2*f**3 = 0. What is f? -3, -1, 0, 1 Let w(d) be the first derivative of 4*d**3/3 + 56*d**2 - 17. Solve w(z) = 0. -28, 0 Let x be (-3)/((-66)/54 + 2/9). Find u such that 12 + 22*u - 9*u + 0*u**3 + 12*u**2 + 2*u**x + 9*u = 0. -3, -2, -1 Let r(d) be the second derivative of -d**6/72 - d**5/6 - 5*d**4/8 + 5*d**3/6 - 34*d. Let p(n) be the second derivative of r(n). Suppose p(y) = 0. What is y? -3, -1 Let k = -205 + 207. Let u be (-920)/(-299) - 1/13. Factor 4/3*n**k - 2/3*n**u + 0*n + 0. -2*n**2*(n - 2)/3 Suppose -2*b = j - 0*j - 3, 4*j = -5*b + 6. Factor -15*z**3 + z - 5*z**4 - 3*z - 15*z**b - 2*z - z. -5*z*(z + 1)**3 Let j = -1/6 + 2/3. Let n be 0 - (-2 + (1 - 1)). Factor -7/4*p + j + 5/4*p**n. (p - 1)*(5*p - 2)/4 Let d be (741/52 + -12)/(2*(-5)/(-16)). Let -102/5*b - 12 - d*b**2 = 0. What is b? -5, -2/3 Let -800/7*i + 0 - 80*i**2 - 88/7*i**3 - 4/7*i**4 = 0. Calculate i. -10, -2, 0 Let o = -102 + 162. Find t such that -8*t**4 + o*t - 54*t**2 + 7*t**4 - 24 - 2*t**4 + 21*t**3 = 0. 1, 2 Let h(n) be the third derivative of -n**7/126 - 3*n**6/40 + n**5/9 + n**4/6 - 90*n**2 + 2. Factor h(a). -a*(a - 1)*(a + 6)*(5*a + 2)/3 Let g be 1*3 - 0/7. Factor 20 + 5*i**4 + 65*i**2 - 14*i**3 - 60*i - 16*i**3 + 0*i**g. 5*(i - 2)**2*(i - 1)**2 Let m be 4 - -2*(0 + -1). Determine g, given that 10*g**2 - 3 + 5*g**2 - 12*g**m = 0. -1, 1 Let i(r) be the third derivative of r**5/390 + 7*r**4/39 + 25*r**3/13 + r**2 + 162. Factor i(d). 2*(d + 3)*(d + 25)/13 Let t(r) be the second derivative of -r**7/630 - r**6/180 - r**5/180 + 5*r**2/2 + 5*r. Let y(p) be the first derivative of t(p). Find k, given that y(k) = 0. -1, 0 Let c(w) be the second derivative of 0 + 8/3*w**2 + 1/45*w**6 - 1/6*w**4 - 10/9*w**3 + 13*w + 2/15*w**5. Factor c(s). 2*(s - 1)**2*(s + 2)*(s + 4)/3 Suppose 8*c + 10 = 66. Let l(a) be the second derivative of 0*a**3 - c*a + 0*a**2 + 1/4*a**4 + 0. Factor l(q). 3*q**2 Let g = -13 - -16. Suppose -g*p + 1 = -i - 4, i - 2 = -4*p. Factor -15*o - p + o**2 + 15*o. (o - 1)*(o + 1) Let k(z) be the first derivative of 7 + 2/45*z**3 + 1/15*z**2 + 0*z. Find n such that k(n) = 0. -1, 0 Let g(c) be the second derivative of 0*c**2 - 1/60*c**3 - 6*c + 0 - 1/60*c**4 - 1/200*c**5. Factor g(u). -u*(u + 1)**2/10 Find v such that 24576/5*v - 864*v**3 + 0 + 282/5*v**4 - 6/5*v**5 + 19968/5*v**2 = 0. -1, 0, 16 Suppose 4*t + 4*t = -40. Let i be (-2)/(-3)*t/((-140)/24). Solve i - 22/7*l - 8/7*l**3 + 26/7*l**2 = 0 for l. 1/4, 1, 2 Factor -4*c**2 + 0*c**2 - 32 - 20 + 56*c. -4*(c - 13)*(c - 1) Factor 216/5 + 24/5*b + 2/15*b**2. 2*(b + 18)**2/15 Let h(c) be the first derivative of c**6/15 + 2*c**5/25 - 3*c**4/10 - 2*c**3/15 + 2*c**2/5 - 114. Suppose h(l) = 0. What is l? -2, -1, 0, 1 Let p be (2480/15190)/(12/14). Factor 0*m**2 - 2/21*m**3 - p + 2/7*m. -2*(m - 1)**2*(m + 2)/21 Let k = 689/12 + -337/6. Factor -3/4 - 1/4*r**2 + k*r - 1/4*r**3. -(r - 1)**2*(r + 3)/4 Factor -l**2 - 1/2*l**3 + 0 - 1/2*l. -l*(l + 1)**2/2 Let l(p) be the second derivative of p**4/3 + 2*p**3/3 - 84*p**2 - 429*p. Determine k, given that l(k) = 0. -7, 6 Suppose -2*j - 5 = -9. Solve 16*t**2 - 6*t**3 + 2*t**3 + 13*t**j - 31*t**2 - 2*t**4 = 0. -1, 0 Let k(g) = 7*g**3 - 5*g**2 + 5*g - 3. Let m(o) = -6*o**3 + o**2 + 1. Let s(x) = k(x) + m(x). Factor s(p). (p - 2)*(p - 1)**2 Let i(d) be the first derivative of -d**5/12 + 5*d**4/12 + 5*d**2/2 - 1. Let r(n) be the second derivative of i(n). Solve r(j) = 0 for j. 0, 2 Suppose -7*g + 4*g = 18. Let v(h) = -h**2 - 4*h + 20. Let l be v(g). Factor -2*x**2 - 3*x + l*x**2 + 0*x - 3*x - 2*x**3 + 2. -2*(x - 1)**3 Let u be 5 - ((-931)/(-21) + -1). Let w = 233/6 + u. Let 1/2 + w*t**2 + t = 0. What is t? -1 Suppose 68*y + 684 = 125*y. Factor -y*w + 3/2*w**2 + 24. 3*(w - 4)**2/2 Let u = -23 + 2. Let s = u - -40. Factor -3*m**3 - s + 19. -3*m**3 Let p = 446592677/341 - 1309658. Let m = -13/31 - p. Let -4/11 - 2*x - m*x**2 = 0. What is x? -1, -2/9 Let g(l) = -81*l**2 - l**5 + 39*l**2 + 41*l**2. Let v(m) = -5*m**5 + m**4 + m**3 - 5*m**2. Let w = 10 + -7. Let x(j) = w*v(j) - 12*g(j). Factor x(q). -3*q**2*(q - 1)**2*(q + 1) Suppose 5*i - 2 = 3*i, 5*i = 5*g - 10. Find f such that 46*f**2 - 11*f + 8*f**g - 20*f**4 + 3*f - 26*f**2 = 0. -1, 0, 2/5, 1 Let u(i) = -i + 3. Let j be u(-5). Factor 11*h - j - 31*h**2 - 2*h + 14*h**2 + 16*h**2. -(h - 8)*(h - 1) Let r be ((-264)/935)/((-6)/10). Factor -2/17*g**2 - 6/17 + r*g. -2*(g - 3)*(g - 1)/17 Let y(j) be the second derivative of -j**4/66 + 40*j**3/11 - 3600*j**2/11 - 142*j + 1. Suppose y(r) = 0. What is r? 60 Let f be (-20)/(-48)*(-16)/(-8). Let y(i) be the second derivative of -f*i**4 + 5*i + 0 + 0*i**2 + 3/10*i**5 - 2/3*i**3. Determine l, given that y(l) = 0. -1/3, 0, 2 Let x = 21 - 16. Let m = 6 + -2. Let 848*v**2 + 272*v + 125*v**x + 19 - 2 + 1160*v**3 + 19 - 4 + 650*v**m = 0. Calculate v. -2, -2/5 Let p be ((-9)/15)/(2/(-10)). Let n be (2 - 36/14) + (-117)/(-21). Factor 3*v + 3*v**3 - 12*v**4 + 14*v**p + v**3 + 3*v**n - 12*v**2. 3*v*(v - 1)**4 Let u be (-369)/180*-1 + 1*-2. Let i(m) be the first derivative of -1/4*m**2 + 0*m + u*m**5 + 0*m**4 - 1/4*m**3 + 2. Factor i(n). n*(n - 2)*(n + 1)**2/4 Let v(i) be the second derivative of i**4/54 - 314*i**3/27 + 24649*i**2/9 + 6*i + 8. Factor v(u). 2*(u - 157)**2/9 Let l(s) be the second derivative of -1/22*s**2 - 1/66*s**4 + 0 - 2/55*s**5 + 5/66*s**3 - 3*s. Suppose l(h) = 0. What is h? -1, 1/4, 1/2 Factor 12/7*l**2 + 2*l - 2/7*l**3 + 0. -2*l*(l - 7)*(l + 1)/7 Factor 3*r**5 + 139*r - 912*r**2 + 169*r + 393*r**3 + 5*r**4 + 268*r - 65*r**4. 3*r*(r - 8)**2*(r - 3)*(r - 1) Let u be 3/12 + (-69)/(-12). Suppose 63 = u*h - 3*h. Factor 17*o**2 + 0 + 1 + 8 + h*o - 5*o**2. 3*(o + 1)*(4*o + 3) Let b be ((-56)/6)/((-6)/9). Suppose -2*g - g + 21 = 5*k, g - b = -4*k. Find y such that 0*y**2 - 6*y**2 + k*y**2 + 3*y = 0. 0, 1 Let f be 1*5 - (-13)/(78/(-21)). Let d(h) be the first derivative of 3 + 4*h**3 - 36/5*h**5 + f*h**2 + 9/2*h**6 - 3/2*h**4 + 0*h. Find u such that d(u) = 0. -1/3, 0, 1 Suppose 0 = 2*s - 4 - 2, 4*s = -b + 15. Solve -150*n**2 + 78*n**2 - b*n + 75*n**2 = 0. 0, 1 Let v(k) be the second derivative of 4*k**6/15 - 26*k**5/5 + 193*k**4/6 - 52*k**3 + 36*k**2 - 3*k + 1. Factor v(u). 2*(u - 6)**2*(2*u - 1)**2 Let l(w) be the second derivative of w**7/3780 + w**6/810 - w**5/540 - w**4/54 - 11*w**3/2 - 29*w. Let y(k) be the second derivative of l(k). Factor y(c). 2*(c - 1)*(c + 1)*(c + 2)/9 Let r(h) be the third derivative of 7*h**8/3600 - h**7/75 + h**6/25 + h**5/12 + 13*h**2. Let s(z) be the third derivative of r(z). Factor s(x). 4*(7*x - 6)**2/5 Let u(c) be the second derivative of 14*c + 0*c**2 + 3/4*c**5 - 2/3*c**6 + 0 + 0*c**3 + 0*c**4. Factor u(y). -5*y**3*(4*y - 3) Find h such that 1/5*h**2 - 6/5 + 1/5*h = 0. -3, 2 Let
{ "pile_set_name": "DM Mathematics" }
cond smallest value in s, -2/35, l? -2/35 Let x be 11916/30 + 9/(-45). Let n = 401 - x. Which is the biggest value? (a) -1 (b) n (c) -4 (d) -0.06 b Let m = -4295 - -4295.18. Which is the smallest value? (a) -1/7 (b) m (c) 31 a Let n(j) = -38*j - 568. Let o be n(-15). Let u = 3/5 - 17/20. Which is the second smallest value? (a) -0.1 (b) o (c) u a Let l = -4.722 + 0.022. Let d = l + 4.3. Let o = -1218/1535 + -2/307. Which is the third biggest value? (a) 0.3 (b) o (c) d b Let c(a) = -a**2 + 35*a + 38. Let j be c(-1). What is the biggest value in j, 5, 0, -0.2, 1/28? 5 Let q = 0 + -5. Let n = 0.75 - 0.5. Let w = 0.05 + n. Which is the fourth smallest value? (a) -2/17 (b) w (c) q (d) 4 d Let v = -3348 + 3344. Let p = 3 - 0. Let k = -0.6 - 0.4. Which is the fourth biggest value? (a) k (b) p (c) v (d) -6 d Let u = 22833 - 45667/2. Which is the fourth biggest value? (a) u (b) -3 (c) 2 (d) -30 d Let c = -0.0896 - -0.0896. Let s = -0.07 + -0.23. What is the fourth biggest value in -2, s, c, 1/3? -2 Let x = 23 + -20.9. Let v = 2 - x. Let q = 2258/5089 + -11/727. Which is the third biggest value? (a) q (b) v (c) 0.5 b Let t = 2.7893 - -0.2107. Which is the second smallest value? (a) 0.1 (b) t (c) 3.9 (d) 2 (e) 1 e Let v be 175/30 + 4 + -2. Let q = v + -8. Let j = -7 - -7.3. What is the biggest value in j, q, 5? 5 Suppose 0 = 2*i + 5*n + 8, 3*n = 5*i - n - 13. Let q = 189968 - 189955. Which is the biggest value? (a) i (b) q (c) 17 c Let p = 23173 + -23225. Let u = 5 + -1. Which is the third biggest value? (a) -0.3 (b) u (c) p c Let k = -3978 - -3980. Which is the second smallest value? (a) 5 (b) 0.9 (c) k (d) 0 b Let f = -156 - 115. What is the third biggest value in 3, f, -0.5? f Let c = 368819 - 368823. Let s be 29/28 + (-4)/14. What is the third smallest value in c, 16, s? 16 Let t = 47 + -68. Let s = t + 5. Let p = -15.8 - s. Which is the second smallest value? (a) -0.4 (b) 0 (c) p b Let k = 1 + 4. Let h = -9/28474 + 2485/28474. What is the second smallest value in k, -11/4, 2, h? h Let q = -0.506 - -0.57. Let o = -5.064 + q. Let w = 61.2 - 61. Which is the smallest value? (a) 4/5 (b) w (c) o c Let s = 748 - 747.8. Which is the third smallest value? (a) -1/3 (b) -1/5 (c) 53 (d) s d Let r = 3259.2 + -3259.3. Let j = 2 - 6. Which is the biggest value? (a) 1/5 (b) j (c) 4 (d) r c Let w = 67505/6 - 11251. What is the fifth smallest value in -1/4, -17, -2/5, -4, w? w Let f be -3 - (-7 + 12) - 31/(-4). What is the second smallest value in f, -0.39, -1? -0.39 Let c be 55/132*12 + ((-270)/33 - -3). Let k = 74 + -520/7. Let x = -7 + 11. What is the biggest value in x, 5, c, k? 5 Let o = -84.49 + 84.99. Let d = 8.8 - 0.8. Let t = -8 - -3. Which is the third biggest value? (a) d (b) t (c) o b Let q = -15.526 - 0.374. Let u = q + 12.9. Which is the fourth biggest value? (a) 1/4 (b) u (c) 1/8 (d) 2/21 b Suppose -3*r + 5*k + 9 = 0, -2*k = -k. Let n be (4 + (0 - 3))/1*r. Which is the third biggest value? (a) n (b) -1.2 (c) -2 (d) -4/5 b Let w = 526.741 + -527. Let m = w - 0.241. What is the biggest value in m, 0.3, 4/3? 4/3 Let h = -10.6 + 51.6. Let k = -41 + h. Let o be ((-4)/(-70))/((-2)/(-10)). Which is the second smallest value? (a) o (b) k (c) 2/3 (d) 5/3 a Let f = -2.9 - -3. Let z = -9768 - -9768. What is the fourth smallest value in -0.2, -4, z, f? f Let p = -201 - -384. Let z = p - 178. What is the third biggest value in 4, 15, -4, z? 4 Let z = -31/108 - -7/108. What is the fourth biggest value in 8, -42, z, -3? -42 Let w = 193 + -962/5. Let s = 273.2 - 270.2. Which is the fourth biggest value? (a) 144 (b) w (c) -3 (d) s c Let p be 4/(10/65 + 14850/(-105651)). What is the fourth smallest value in p, 28, 1/2, 0? p Let y = 1.1657 + -5.1657. Which is the second smallest value? (a) y (b) -5 (c) -189 (d) -0.5 b Let v = -1.4 + 1. Let s = -376 - -380. Let d be s/(-18) - ((-1054)/198)/17. Which is the second biggest value? (a) d (b) -3/2 (c) v c Let t = 9008.036 + -9008. What is the third smallest value in 0, t, 0.1, 2/3? 0.1 Suppose 20*u - 8*u = 72. Let y be (u/(-4))/((-312)/(-26)). Which is the third biggest value? (a) -0.01 (b) y (c) 0.2 (d) 8 a Let w = -2 - -89. Let h = w + -607/7. Suppose 3*q - 840 = 4*z - 847, z - 7 = -q. What is the smallest value in q, -3, h? -3 Let k = -240 + 172.4. Let x = 73.6 + k. Which is the third biggest value? (a) 2 (b) x (c) 0.3 c Suppose 0 = -2*j - y - 6, -5*j - 63 + 70 = -3*y. Which is the third biggest value? (a) -3/10 (b) 397 (c) j c Let s be -687*(-2)/(-344) - -4. Let h = s - 131/344. What is the third biggest value in h, 4, 54? h Let b be 0/((-4)/(-2) - 1). Suppose -14 = -b*m - 7*m. Let g = -642 - -642.11. What is the third smallest value in -2, g, 3, m? m Let w(d) = -d**3 - 8*d**2 + 2*d - 1. Suppose -50*o = -41*o + 72. Let r be w(o). Which is the third smallest value? (a) 0.2 (b) r (c) 0.8 c Let s = 13.83 - 13.63. Suppose 3*q = -2*q. Which is the third biggest value? (a) s (b) q (c) 0.4 b Let m = -2.0685 + 0.0685. What is the third smallest value in -1, 10.8, -3/7, 3, m? -3/7 Let u = 2.002 + -2.102. What is the third smallest value in 13/75, u, -4? 13/75 Let x = -0.1 + 0.4. Let d = -3142 - -3141.9. Let n = 0.09 - -3.91. What is the biggest value in n, x, d? n Let h = 0.12 - -4.88. Suppose -8*u = -3*u - 20. Let r = -12.13 + 13.13. Which is the fourth biggest value? (a) -3 (b) r (c) u (d) h a Let i = 41 + -41.2. What is the third biggest value in i, -4, 2, 1, -15? i Let d = 122.3 + -177.1. Let k = 57.8 + d. Let h = -13/15 + 6/5. What is the second biggest value in h, 0.02, -4, k? h Let q be (-15)/(-2)*8/(-5). Let u be -2 + (-5)/q*3. Let j = -653.19 + 653. Which is the biggest value? (a) 1/5 (b) u (c) j a Let f = -0.3294 - -0.4294. What is the biggest value in -3, -5, 16, f? 16 Let r be (3/18)/((-2)/3). Let j = -6.5741 - 0.4259. What is the third smallest value in 1/2, r, j? 1/2 Let k = -31 + 30.9. Suppose -24*r + 18 = -6*r. Which is the fourth smallest value? (a) 0 (b) -25/3 (c) k (d) r d Let z = 68 + -64. Suppose 3*s + 809 = -91. Let k be 0 - z/10 - 220/s. Which is the second biggest value? (a) -5 (b) 2 (c) k (d) -4 c Suppose 39 = -5*f + f + c, f = -5*c - 15. What is the third biggest value in -40, 0.1, 4, f? f Let q = 3655/4 + -913. Let j = -29 + 28.6. Which is the biggest value? (a) q (b) 0.5 (c) j (d) 0.4 a Let v = 17642 - 17636. Let z = -0.07 + -0.93. Which is the biggest value? (a) -5 (b) v (c) z (d) 2 b Let l = 2958.9 - 2954.9. Which is the third smallest value? (a) -0.5 (b) l (c) -76 b Suppose -226 - 27 = -11*s. Suppose 0 = -s*a + 14*a - 27. Let g be 4 - (2/a - -4). What is the fourth smallest value in -0.5, -6, g, -3? g Let t be 1 + 44/(-140) + (-10)/25. Let w = 0.15 + -5.15. What is the biggest value in w, 3/19, t? t Let f(v) = -23*v**3 - v**2 + v + 1. Let s be f(-1). Suppose -4 = 3*u - s. Suppose -6*i - u = 18. What is the smallest value in -2/3, 0, i? i Let x(z) = 2*z**3 + 36*z**2 + 1. Let r be x(-18). Let g = -30 + 48. Let k = 16 - g. Which is the third smallest value? (a) -1/4 (b) r (c) 2 (d) k b Let j be -4 - 33/(-22) - (-5 + 1). Let y be (2 - (-180)/(-85))/1. Which is the third biggest value? (a) j (b) -0.4 (c) y (d) -1/2 b Let y be ((-52)/(-78)*27/69)/(-3). Which is the second smallest value? (a) y (b) -293 (c) -3 c Suppose 8 = 2*b + 4. Let h = 7259/464 + -247/16. What is the second smallest value in h, b, -1? h Let l = 4677 - 4674. What is the third biggest value in 0.4, -0.012, 3/5, -5, l? 0.4 Let n = -5108 - -25543/5. What is the smallest value in 2/3, 0.01, -3, n? -3 Let o be ((-120)/24)/(-1)*-1. Which is the fifth biggest value? (a) 3/4 (b) 0.021 (c) o (d) -2 (e) -11 e Suppose 4*q = -2*a - 8, q - 40*a = -35*a + 42. Let k = 1 + -0.95. Let o = k + -1.05. What is the third smallest value in 0.5, q, o, -0.4? 0.5 Let x = 25 - -5.4. Let h = x - -99.6. Let q = 123 - h. What is the smallest value in 3, q, -1/4? q Let v = 1818.5 - 1818.3. What is the second biggest value in -0.04, 1/3, 0.5, v, 3? 0.5 Let o = -7.2996 + 4.2996. Let d(n) = -2*n - 1. Let l be d(-1). Let k = 3.1 - 3. What is the third biggest value in o, -2, l, k? -2 Let x = 6.2 - 6.207. Let i = 3.507 + x. Let
{ "pile_set_name": "DM Mathematics" }
Is 127968 a multiple of 32? True Is 205776 a multiple of 48? True Does 21 divide 56385? True Is 190 a factor of 2443970? True Is 12 a factor of 267012? True Is 426 a factor of 359074? False Is 13 a factor of 1983028? False Does 223 divide 109493? True Is 4984980 a multiple of 660? True Is 177520 a multiple of 7? True Is 15 a factor of 564326? False Is 11 a factor of 628963? False Is 14 a factor of 108906? True Is 16 a factor of 25185? False Is 43 a factor of 69981? False Is 3584010 a multiple of 10? True Does 124 divide 61008? True Does 2 divide 146046? True Does 567 divide 844373? False Is 855 a factor of 7935255? True Does 46 divide 290927? False Is 21 a factor of 29083? False Is 3998904 a multiple of 56? True Is 13 a factor of 469963? True Is 21 a factor of 4042199? False Does 11 divide 10902617? True Is 38 a factor of 51946? True Does 82 divide 1423438? True Is 281 a factor of 1025650? True Is 1177381 a multiple of 89? True Is 214 a factor of 216747? 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{ "pile_set_name": "DM Mathematics" }
b + 1)*(b + 102)/4 Factor y**5 - 2*y**4 - 45*y**3 - 142*y**2 - 172*y - 72. (y - 9)*(y + 1)*(y + 2)**3 Let -3*r**5/5 + 24*r**4/5 - 57*r**3/5 + 24*r**2/5 + 12*r - 48/5 = 0. Calculate r. -1, 1, 2, 4 What is y in 2*y**4/7 + 1128*y**3/7 - 2262*y**2/7 + 1132*y/7 = 0? -566, 0, 1 Factor 5*v**2 - 405*v - 1260. 5*(v - 84)*(v + 3) Factor 2*q**4/19 - 2*q**3/19 - 90*q**2/19 + 378*q/19 - 432/19. 2*(q - 3)**3*(q + 8)/19 Find h such that -30*h**4 - 50*h**3 - 84*h**2/5 + 16*h/5 = 0. -1, -4/5, 0, 2/15 Find c such that 4*c**4 - 32*c**3 - 416*c**2 + 1920*c + 14400 = 0. -6, 10 Let 5*w**2/4 - 777*w/4 + 155/2 = 0. What is w? 2/5, 155 Factor 16*x**2 - 52*x + 12. 4*(x - 3)*(4*x - 1) Factor 4*j**3/3 - 712*j**2/3 - 2992*j - 9120. 4*(j - 190)*(j + 6)**2/3 Suppose u**4/3 - 3*u**3 + 25*u**2/3 - 9*u + 10/3 = 0. What is u? 1, 2, 5 Let 4*p**2/7 - 40*p/7 - 44/7 = 0. Calculate p. -1, 11 Factor -2*v**3/13 - 54*v**2/13 - 30*v - 26. -2*(v + 1)*(v + 13)**2/13 Solve -4*g**4 + 68*g**3 - 60*g**2 - 68*g + 64 = 0. -1, 1, 16 Let -2*y**3/13 - 6*y**2 + 344*y/13 = 0. What is y? -43, 0, 4 Solve -5*b**4/2 - 85*b**3/3 + 125*b**2/6 + 10*b = 0 for b. -12, -1/3, 0, 1 Suppose -4*d**5 - 12*d**4 + 4*d**3 + 28*d**2 - 16 = 0. Calculate d. -2, -1, 1 Suppose p**5/6 + 11*p**4 + 1151*p**3/6 + 991*p**2/3 - 192*p - 1024/3 = 0. Calculate p. -32, -2, -1, 1 Determine g so that -g**2 - 11*g - 28 = 0. -7, -4 Factor -28*d**2/5 + 32*d/5 + 48/5. -4*(d - 2)*(7*d + 6)/5 Factor 4*i**4/7 + 24*i**3/7 - 100*i**2/7 + 72*i/7. 4*i*(i - 2)*(i - 1)*(i + 9)/7 Let t**5/4 + 37*t**4/8 + 183*t**3/8 + 197*t**2/8 - 17*t/8 - 33/4 = 0. Calculate t. -11, -6, -1, 1/2 Suppose -5*g**4 - 65*g**3 + 515*g**2 + 1205*g + 630 = 0. What is g? -18, -1, 7 Factor 5*a**2 - 420*a + 8820. 5*(a - 42)**2 Suppose 4*v**3 + 72*v**2 + 324*v = 0. What is v? -9, 0 Determine d so that 324*d**2 + 5510*d + 34 = 0. -17, -1/162 Factor -u**5/3 - 29*u**4/3 + 31*u**3 - 95*u**2/3 + 32*u/3. -u*(u - 1)**3*(u + 32)/3 Let 20170*k**3/13 + 40344*k**2/13 + 20178*k/13 + 4/13 = 0. Calculate k. -1, -2/10085 Solve 2*r**2/5 - 478*r/5 - 96 = 0. -1, 240 Factor -2*h**3/5 - 36*h**2/5 - 174*h/5 - 44. -2*(h + 2)*(h + 5)*(h + 11)/5 Solve -3*u**5 + 8*u**4 + 15*u**3 - 32*u**2 - 12*u = 0. -2, -1/3, 0, 2, 3 Let -k**3/4 + 45*k**2/4 + 23*k/2 = 0. Calculate k. -1, 0, 46 What is f in 400*f**4/3 + 130*f**3 - 18*f**2 - 38*f/3 + 2 = 0? -1, -3/8, 1/5 Suppose -3*g**2 - 3*g + 270 = 0. Calculate g. -10, 9 Determine p, given that p**4/4 + 3*p**3 + 13*p**2/4 - 33*p/2 + 10 = 0. -10, -4, 1 Solve -3*x**3 + 147*x**2 + 150*x = 0 for x. -1, 0, 50 Factor -o**4 + 56*o**3 - 423*o**2. -o**2*(o - 47)*(o - 9) Determine n so that 3*n**3/2 + 102*n**2 - 207*n/2 = 0. -69, 0, 1 Factor 2*w**3/5 + 39*w**2 + 832*w/5 - 93. (w + 5)*(w + 93)*(2*w - 1)/5 Determine o so that -8*o**3/7 - 158*o**2/7 - 368*o/7 + 102/7 = 0. -17, -3, 1/4 Determine v, given that 3*v**5/2 - 183*v**4/2 + 2697*v**3/2 + 2883*v**2/2 = 0. -1, 0, 31 Factor -2*i**2 + 2500*i - 781250. -2*(i - 625)**2 Find m, given that 4*m**5 + 24*m**4 + 44*m**3 + 24*m**2 = 0. -3, -2, -1, 0 Factor i**3/7 - 87*i**2/7 + 1935*i/7 - 1849/7. (i - 43)**2*(i - 1)/7 Factor 3*t**5 + 150*t**4 + 1719*t**3 - 3900*t**2 + 2028*t. 3*t*(t - 1)**2*(t + 26)**2 Suppose -4*n**4/9 - 8*n**3/3 - 20*n**2/9 = 0. Calculate n. -5, -1, 0 Suppose -2*x**5/3 + 3*x**4 + 2*x**3 - 5*x**2/3 = 0. Calculate x. -1, 0, 1/2, 5 Find g, given that -9*g**5 - 69*g**4 + 327*g**3 - 51*g**2 - 198*g = 0. -11, -2/3, 0, 1, 3 Let 2*d**3/11 + 310*d**2/11 - 628*d/11 = 0. Calculate d. -157, 0, 2 Let -r**3/2 + 825*r**2/2 - 412*r = 0. Calculate r. 0, 1, 824 Factor 4*h**4/3 - 44*h**3/3 + 52*h**2 - 196*h/3 + 80/3. 4*(h - 5)*(h - 4)*(h - 1)**2/3 Suppose -x**3/2 + 9*x**2/2 - 12*x + 10 = 0. Calculate x. 2, 5 Factor -4*x**5 - 132*x**4 - 128*x**3. -4*x**3*(x + 1)*(x + 32) Suppose -3*z**4 + 300*z**3 - 11088*z**2 + 178752*z - 1053696 = 0. Calculate z. 16, 28 Determine n so that -2*n**5 - 6*n**4 + 8*n**3 + 32*n**2 - 32 = 0. -2, 1, 2 Let -20*i**5 - 195*i**4 + 130*i**3 + 3060*i**2 - 3710*i + 735 = 0. Calculate i. -7, 1/4, 1, 3 Find h, given that -3*h**4 - 120*h**3 - 624*h**2 + 11520*h - 27648 = 0. -24, 4 Factor 2*q**4/7 + 372*q**3/7 + 17298*q**2/7. 2*q**2*(q + 93)**2/7 Let 2*q**5/13 - 36*q**4/13 + 160*q**3/13 - 180*q**2/13 - 162*q/13 + 216/13 = 0. Calculate q. -1, 1, 3, 12 Factor 60*q**2 - 296*q/5 - 4/5. 4*(q - 1)*(75*q + 1)/5 Factor q**3/5 + 31*q**2/5 + 51*q + 45. (q + 1)*(q + 15)**2/5 Factor -r**3/4 + 7*r**2/4 + 49*r/4 - 55/4. -(r - 11)*(r - 1)*(r + 5)/4 Suppose -190*h**4 + 1829*h**3 - 4038*h**2 - 1795*h + 50 = 0. What is h? -2/5, 1/38, 5 Determine l so that 4*l**5 + 148*l**4 + 548*l**3 + 668*l**2 + 264*l = 0. -33, -2, -1, 0 Let 3*v**3 - 27*v**2 + 72*v - 48 = 0. What is v? 1, 4 Factor -2*v**3/13 + 82*v**2/13 - 360*v/13. -2*v*(v - 36)*(v - 5)/13 Find j, given that -5*j**2 - 940*j - 44180 = 0. -94 Suppose -2*h**5/11 - 8*h**4/11 - 4*h**3/11 + 8*h**2/11 + 6*h/11 = 0. Calculate h. -3, -1, 0, 1 Solve 3*t**4 - 6*t**3 - 57*t**2 - 84*t - 36 = 0 for t. -2, -1, 6 Factor -3*o**2/5 + 582*o/5 - 28227/5. -3*(o - 97)**2/5 Factor -4*t**2/5 + 8*t - 36/5. -4*(t - 9)*(t - 1)/5 Suppose 4*m**5 + 1794*m**4 + 799185*m**3/4 - 305438*m**2 - 760275*m/4 - 50625/2 = 0. Calculate m. -225, -1/4, 2 Factor 7*g**3/4 - 517*g**2/2 + 2749*g/4 + 435/2. (g - 145)*(g - 3)*(7*g + 2)/4 What is y in -y**3/6 - 107*y**2/6 + 217*y/6 - 109/6 = 0? -109, 1 Let 6*p**5/5 - 752*p**4/15 - 1136*p**3/5 - 1344*p**2/5 - 736*p/15 = 0. Calculate p. -2, -2/9, 0, 46 Factor -f**2/2 - 5*f/2 + 12. -(f - 3)*(f + 8)/2 Factor 3*y**3/2 + 621*y**2/2 - 312*y. 3*y*(y - 1)*(y + 208)/2 Factor i**2/2 - 1041*i/2 - 2615. (i - 1046)*(i + 5)/2 Determine p so that p**2/3 - 2*p/3 = 0. 0, 2 Factor -3*a**2 + 72*a + 435. -3*(a - 29)*(a + 5) Suppose 20*q**2 - 9572*q - 3832 = 0. What is q? -2/5, 479 Find p such that p**2 + 18*p + 81 = 0. -9 Factor -3*q**3/4 - 9*q**2/4 + 3. -3*(q - 1)*(q + 2)**2/4 Factor -o**3/7 - 25*o**2 - 174*o/7. -o*(o + 1)*(o + 174)/7 Find r such that 3*r**4/8 + 69*r**3/4 + 429*r**2/2 + 363*r = 0. -22, -2, 0 Factor 162*y**3/13 + 72810*y**2/13 + 32336*y/13 + 3592/13. 2*(y + 449)*(9*y + 2)**2/13 Determine j so that -3*j**3 - 147*j**2 - 465*j + 37479 = 0. -31, 13 Factor -4*f**3 + 6864*f**2 - 3926208*f + 748596992. -4*(f - 572)**3 Factor -2*l**4/7 - 29*l**3/7 - 39*l**2/7. -l**2*(l + 13)*(2*l + 3)/7 Determine a so that 12*a**4 + 64*a**3/3 - 124*a**2/3 + 8*a = 0. -3, 0, 2/9, 1 Suppose -45*j**4 - 136290*j**3 - 103239665*j**2 - 68781020*j - 11460980 = 0. Calculate j. -1514, -1/3 Suppose 4*c**2 + 68*c + 280 = 0. Calculate c. -10, -7 What is p in p**2/4 - 631*p/2 + 398161/4 = 0? 631 Let v**5/8 - v**4 + v**3/4 + 4*v**2 + 21*v/8 = 0. What is v? -1, 0, 3, 7 Factor 6*u**2 + 1407*u/2 + 351/2. 3*(u + 117)*(4*u + 1)/2 Factor 3*g**2 + 84*g + 225. 3*(g + 3)*(g + 25) Factor -4*l**3 + 28*l**2 - 44*l + 20. -4*(l - 5)*(l - 1)**2 Factor f**3/3 - 3*f**2 - 16*f + 448/3. (f - 8)**2*(f + 7)/3 Factor -4*p**2 - 266*p/3 + 176. -2*(p + 24)*(6*p - 11)/3 Factor 2*i**3/11 + 12*i**2/11 + 16*i/11. 2*i*(i + 2)*(i + 4)/11 Factor 5*i**5/3 - 5*i**4/3 - 5*i**3/3 + 5*i**2/3. 5*i**2*(i - 1)**2*(i + 1)/3 Factor -2*h**3/3 + 62*h**2/3 - 86*h/3 - 290. -2*(h - 29)*(h - 5)*(h + 3)/3 Factor 2*b**3/15 - 4*b**2/5 - 2*b/15 + 4/5. 2*(b - 6)*(b - 1)*(b + 1)/15 Factor 5*m**5 - 15*m**4 - 5*m**3 + 15*m**2. 5*m**2*(m - 3)*(m - 1)*(m + 1) Determine j, given that 5*j**2/2 + 143*j/2 + 42 = 0. -28, -3/5 Let -2*k**5 + 262*k**4 - 1524*k**3 + 3016*k**2 - 2000*k = 0. Calculate k. 0, 2, 125 Determine k so that 2*k**3/13 + 522*k**2/13 - 1058*k/13 - 1578/13 = 0. -263, -1, 3 Factor -4*n**3 + 24*n**2 + 28*n. -4*n*(n - 7)*(n + 1) Find g, given that g**2 + 343*g/4 - 43/2 = 0. -86, 1/4 Factor 2*v**2/9 + 130*v/9 + 476/3. 2*(v + 14)*(v + 51)/9 Solve -5*o**2 + 3545*o = 0. 0, 709 Factor 4*t**3 - 380*t**2 - 772*t - 388. 4*(t - 97)*(t + 1)**2 Factor 4*m**2/5 - 684*m/5 - 688/5. 4*(m - 172)*(m + 1)/5 Find a, given that -a**3/4 + a = 0. -2, 0, 2 Factor 4*v**2 - 132*v - 136. 4*(v - 34)*(v + 1) Factor -p**4/3 + 19*p**3/3 - 17*p**2/3 - 19*p/3 + 6. -(p - 18)*(p - 1)**2*(p + 1)/3 Factor -2*l**3/3 + 4*l**2 + 10*l + 16/3. -2*(l - 8)*(l + 1)**2/3 Determine t, given that 40*t**4 - 486*t**3 + 396*t**2 + 1186*t + 264 = 0. -1, -1/4, 12/5, 11 Factor -2*m**3 + 20*m**2 + 506*m + 484. -2*(m - 22)*(
{ "pile_set_name": "DM Mathematics" }
s the third derivative of k(s) wrt s? 71760*s**3 Let b(s) be the first derivative of -20 - 5*s**2 - 31/6*s**3 + 16*s. Let r(m) be the first derivative of b(m). Differentiate r(a) with respect to a. -31 Differentiate -7448*q**3 + 5927*q**3 + 4768 + 3872*q**3 with respect to q. 7053*q**2 Let m(g) = -57*g - 235. Let c(a) = 112*a + 455. Let u(z) = -3*c(z) - 5*m(z). Differentiate u(t) with respect to t. -51 Let s(h) = -34*h**3 - 22*h**2 - 153*h + 6. Let b(q) = -66*q**3 - 44*q**2 - 300*q + 13. Let p(o) = 6*b(o) - 13*s(o). Find the second derivative of p(x) wrt x. 276*x + 44 Let m(o) be the first derivative of -125*o**6/2 - 31*o**3 + 2*o + 849. What is the third derivative of m(u) wrt u? -22500*u**2 Let g = -41 - -43. Suppose 6 = w + y - 2, 0 = -5*w - g*y + 25. What is the second derivative of 5*c**3 - 16*c**w - 8*c + 23*c + 34*c**3 wrt c? 138*c What is the second derivative of 63 - 4*t - 137 + t + 5*t**3 + t**4 - 220 wrt t? 12*t**2 + 30*t Let y(c) = -25*c**4 - c**3 + c. Let z(g) = -346*g**5 - 26*g**4 - 4*g**3 - 578*g. Let j(n) = -2*y(n) + 2*z(n). What is the second derivative of j(o) wrt o? -13840*o**3 - 24*o**2 - 36*o Suppose 3*b - 5*b - 14 = 0. Let r(l) = -2*l**3 + 5*l**2 + l + 9. Let h be r(b). Find the third derivative of -21*p**2 + 901*p**4 - h*p**4 - 7*p**2 wrt p. -768*p Let d(z) be the second derivative of -4717*z**5/20 + 467*z**3/2 + 3*z**2/2 - 2732*z. What is the second derivative of d(m) wrt m? -28302*m Let q(v) be the first derivative of 63 + 0*v - v**2 + 5/3*v**3 + 3/5*v**5 + 13/2*v**4. Find the third derivative of q(u) wrt u. 72*u + 156 Suppose -68*q - 30 = -71*q. What is the first derivative of 55*s - 11*s - 68 - q*s wrt s? 34 Let n(t) be the first derivative of -606*t**2 + 4449*t + 7142. What is the derivative of n(v) wrt v? -1212 Find the third derivative of 2320*a**3 - 12216*a**2 + 2105*a**3 - 3978*a**2 + 2852*a**2 wrt a. 26550 What is the derivative of 1775 - 4*u - 422*u**4 + 364*u**4 + 4*u - 1495*u**4 wrt u? -6212*u**3 Suppose 14*y - 41*y = -8640. Find the second derivative of 140*b**4 + 3*b**2 - 3*b**2 - 10*b - y*b**4 wrt b. -2160*b**2 Suppose 4*a + 5*p - 30 = 0, -2*p - p = 5*a - 44. Suppose -a*u = -11*u + 9. What is the second derivative of u*j - j**2 + 4*j**2 - 5*j**2 wrt j? -4 Suppose 1076*p = 1087*p - 2123. What is the third derivative of -25*x + 39 - 15 - 7 + x**2 - 17 + p*x**3 wrt x? 1158 Find the third derivative of z**4 - 695*z**5 - 470*z**2 - 367*z**2 + 662*z**5 + 3*z**4 wrt z. -1980*z**2 + 96*z What is the second derivative of -3 + 11*y**3 - 55*y**3 - 24*y + 16*y**3 + 14*y**3 - 318*y**2 + 13*y**3 wrt y? -6*y - 636 Suppose 62*q + 18 = 68*q. Suppose 31 = q*y - 62. Find the first derivative of -y*z**2 - 50 + 13 + 64*z**2 wrt z. 66*z Suppose 0 = 2*x - 3*y + 9, 10*x = 9*x - 2*y + 13. What is the first derivative of -21 - x*d**2 - d**2 - 3 - 5*d**3 + 7*d**2 wrt d? -15*d**2 + 6*d Let u(y) = 8903*y - 7729. Let w(n) = -17824*n + 15456. Let h(f) = 9*u(f) + 4*w(f). What is the derivative of h(c) wrt c? 8831 What is the third derivative of -646*l**4 + 648*l**4 + 370*l**2 - 2*l - 94*l**2 + 17*l**5 wrt l? 1020*l**2 + 48*l Suppose -u = 1, 0*c = c + 3*u. What is the third derivative of 87*z**2 - 33*z**3 - 13*z**3 - 50*z**3 + 13*z**c wrt z? -498 Suppose -z = 4*z + 4*g - 3, 0 = -4*g - 12. Differentiate -190454*v**3 - 2*v**4 + 23*v - 107 + 190454*v**z wrt v. -8*v**3 + 23 Let m(o) be the first derivative of o**5/5 + 520*o**4 - 3*o**2/2 - 584*o - 8220. What is the second derivative of m(z) wrt z? 12*z**2 + 12480*z Let q = -66 + 82. What is the third derivative of 36*f**3 - 22 - q*f**2 + 22 - 30*f**2 wrt f? 216 Let x(j) be the second derivative of -881*j**4/12 + 412*j**2 + 99*j - 6. Differentiate x(p) wrt p. -1762*p Let s(r) = -15093*r**2 + 234*r - 29868. Let l(p) = 7547*p**2 - 108*p + 14933. Let o(b) = 13*l(b) + 6*s(b). Differentiate o(z) with respect to z. 15106*z Suppose -3*d - 42 = -10*d. What is the second derivative of 9*m + 0*m**3 - d*m**3 - 21*m**3 - 2*m**3 wrt m? -174*m Let w(o) = 54*o - 3. Let h be w(1). Let x = h + -48. Differentiate 51*g**3 + 48*g**3 - 34*g**4 + 8 - 99*g**x with respect to g. -136*g**3 Let z(g) be the first derivative of -1328*g**3/3 - 1430*g**2 - 3968. What is the second derivative of z(h) wrt h? -2656 Let s(y) be the first derivative of 94/3*y**3 + 0*y + 0*y**2 + 0*y**4 - 87 - 1/3*y**6 - 16/5*y**5. What is the third derivative of s(m) wrt m? -120*m**2 - 384*m Let c(l) be the second derivative of -176*l**5 + 1091*l**3/6 + 4*l + 32. What is the second derivative of c(a) wrt a? -21120*a Let s(k) = -3*k**2 - 16*k - 47. Let j be s(-9). Let h = j + 404. What is the third derivative of 39*v**6 - 460*v**2 + h*v**2 + 245*v**2 wrt v? 4680*v**3 Let q(f) = 3*f**3 + 27*f**2 - 5*f + 107. Let x(u) = -5*u**3 - 41*u**2 + 7*u - 160. Let a = 146 + -151. Let t(d) = a*x(d) - 7*q(d). Differentiate t(r) wrt r. 12*r**2 + 32*r Differentiate 6 + 235*l**2 - 9 + 67*l**2 - 2 + 198 wrt l. 604*l Let z(j) = -101*j**4 - 2*j**3 + 6*j**2 + 1677. Let o(r) = 100*r**4 + 3*r**3 - 9*r**2 - 1678. Let n(v) = -2*o(v) - 3*z(v). Differentiate n(x) wrt x. 412*x**3 Suppose 0 = -25*l - 5983 + 21558. Find the third derivative of -225*p**2 + 329*p**3 + 352*p**3 - l*p**3 wrt p. 348 Let m be (6/9)/(-4 + (-248)/(-60)). Suppose -69 = -m*s + 61. Differentiate 19 - s - 14*y**2 + 26 with respect to y. -28*y Find the third derivative of -22*n**2 + 95*n**2 + 4*n**3 - 4218 + 4216 - 93*n**4 wrt n. -2232*n + 24 Let d = 1 + -5. Let b be 1/(-3) - d/12. Find the second derivative of 15*l + b*l**3 - 8*l + l**3 wrt l. 6*l What is the second derivative of 25*f**4 - 5*f**3 + 50*f**3 + 1201*f + 13*f**4 - 43*f**4 wrt f? -60*f**2 + 270*f Let z be (21/2)/(9/12). Suppose 15*w = z*w + 26. What is the derivative of 14*l**2 - 7 - w*l**3 - 6 - 14*l**2 wrt l? -78*l**2 Let u(c) = c**3 - 8*c**2 + 16*c - 38. Let n be u(8). Differentiate 9 - 11 + n - 109*w wrt w. -109 Let q be (-16)/8 + 5 + 0. Let c(i) = -139*i**2 - 3*i + 212. Let x(j) = -417*j**2 - 8*j + 635. Let w(a) = q*x(a) - 8*c(a). What is the derivative of w(y) wrt y? -278*y Find the third derivative of 5*f**4 - 4*f**5 - 9*f**3 + 4*f**3 + 29279 + 2*f**2 - 29652 + 5*f**5 - 6*f**3 wrt f. 60*f**2 + 120*f - 66 Let r(b) be the second derivative of -1599*b**5/5 - 1271*b**4/3 - 5925*b. Find the third derivative of r(n) wrt n. -38376 Find the first derivative of 12270*d**4 + 7275*d**2 + 4052 - 24536*d**4 + 12267*d**4 wrt d. 4*d**3 + 14550*d Find the second derivative of 1138*t**2 - 332*t**2 - 2*t + 288 - 401*t**2 wrt t. 810 Suppose -30 = -4*s - 14. Let c be (-4)/26 - (s + 27185/(-13)). What is the third derivative of -25*z**2 - c - 19*z**5 + 2087 wrt z? -1140*z**2 Suppose -5*a - 3*q + 123 = 0, a + q - 49 = -a. Let x be ((-40)/a)/((-10)/36). Find the third derivative of 2*s**2 - x*s**6 + 21*s**2 + 7*s**2 wrt s. -720*s**3 Suppose -24 = -4*o, 5*m - 43*o = -30*o - 78. Let q(h) be the first derivative of 0*h**4 + 39 + 0*h**2 + 48/5*h**5 - 25*h + m*h**3. Differentiate q(b) wrt b. 192*b**3 What is the derivative of 89*a - 14*a**2 - 43*a - 26*a**2 + 4*a**2 + 404 wrt a? -72*a + 46 Let c(a) be the first derivative of 188*a**4 + 29*a - 5282. What is the derivative of c(m) wrt m? 2256*m**2 Find the second derivative of -14025*y - 29610913*y**4 + 29610913*y**4 + 2*y**2 - 11768*y**5 - 2*y**2 wrt y. -235360*y**3 Let c(m) be the second derivative of -m**6/30 + 7*m**5/24 + m**4/12 + m**3/3 - 6*m + 1. Let p(a) be the third derivative of c(a). Differentiate p(w) wrt w. -24 Let z(s) = 1401*s**3 - 12*s**2 + 2*s + 511. Let t(n) = n**3 - 4*n**2 + n - 1. Let u(q) = 3*t(q) - z(q). Differentiate u(v) with respect to v. -4194*v**2 + 1 Let v(g) = -g**2 + 23*g + 179. Let a be v(-6). What is the third derivative of 5538*h**5 - 155*h**2 - 5261*h**a + 4 - 4 wrt h? 16620*h**2 Find the second derivative of 548*j**2 + 518*j + 1733*j + 525*j wrt j. 1096 Find the second derivative of 53*k + 63*k - 62*k**3 - 53*k**5 + 58*k + 7331 - 176*k wrt k. -1060*k**3 - 372*k Differentiate -695 - 850 - 116 - 745*s - 645 - 90 with respect to s. -745 Suppose 0 = -7*p - 39 + 67. What is the second derivative of 3*t**3 + 17 + t**3 + 7*t**2 - t**3 - 6 + p*t wrt t? 18*t + 14 Let l(y) = 5*y - 59. Suppose -33*x = -55*x + 2772. Let o(b) = 154*b - 1827. Let h(f) = x*l(f) - 4*o(f). Differentiate h(w
{ "pile_set_name": "DM Mathematics" }
(11) + 391 Simplify -3 + (5 + -4*(sqrt(567) - (-5 + -2*sqrt(567))) + -4)**2. 4104*sqrt(7) + 82006 Simplify ((sqrt(57) + 1*sqrt(228) + sqrt(57))/sqrt(3))**2 - (sqrt(931)*-2 + (sqrt(931) - (sqrt(931)*-1)**2)). 7*sqrt(19) + 1235 Simplify 4*(2*sqrt(5103))/(sqrt(9) - (-1*(sqrt(27)/sqrt(3) + sqrt(9)) + sqrt(9)))*3*6. 648*sqrt(7) Simplify ((sqrt(320)*1 + -2 - (-5 + sqrt(320)*3 + sqrt(320)))*-5)**2. -3600*sqrt(5) + 72225 Simplify (sqrt(110)*2 + sqrt(110) - sqrt(110))/sqrt(10) + 4 - ((sqrt(539)*2)**2 + -1). -2151 + 2*sqrt(11) Simplify (4 + -3*(1*sqrt(175)*-1 - (sqrt(175) - 1*(sqrt(175) + 0))))**2. 120*sqrt(7) + 1591 Simplify -1*-5*-4*(1 + (sqrt(18) - (sqrt(18) + -1)) + 4)**2. -720 Simplify sqrt(133)/(sqrt(7) - (sqrt(112) - -2*sqrt(112))) + -1 + 0. -1 - sqrt(19)/11 Simplify -3*(sqrt(2112) - (sqrt(2112)*2 - sqrt(2112)))/sqrt(3) + (sqrt(33)*-2)/sqrt(3) + -1*sqrt(44). -4*sqrt(11) Simplify (sqrt(21) + ((sqrt(231) - -1*sqrt(231))/sqrt(11) - sqrt(21)) + sqrt(21) - (sqrt(525) + -2*sqrt(525) + sqrt(525)))/(4*(sqrt(12)/sqrt(4) + sqrt(3))*5). 3*sqrt(7)/40 Simplify ((sqrt(6)/(2*sqrt(3)*4) - (-4 + (sqrt(24)/sqrt(2))/sqrt(6))) + -1)**2. -21*sqrt(2)/4 + 337/32 Simplify (-1*sqrt(85)*1)/(sqrt(5) + sqrt(45)/sqrt(144)). -4*sqrt(17)/5 Simplify (3*(sqrt(84) + (sqrt(84) - (sqrt(84) + (-3*sqrt(84)*1 - sqrt(84)) + sqrt(84))) + sqrt(84)))/(sqrt(72)/(sqrt(96)*2)). 120*sqrt(7) Simplify (sqrt(91)/(sqrt(21)/sqrt(3) + sqrt(7)) + -2 + sqrt(26)/sqrt(2))**2 - (sqrt(39)/(sqrt(3) - (sqrt(12) + sqrt(12)*2))*6)**2. -6*sqrt(13) + 1453/100 Simplify ((sqrt(500)*-3 + -3 - (1 + (sqrt(500) - (sqrt(500) + 1)))) + -2)**2. 300*sqrt(5) + 4525 Simplify (5*(sqrt(156)*4*-2)/((sqrt(96)/sqrt(8) + sqrt(12))*-2))**2. 1300 Simplify (-3 + 2 + sqrt(7)*-2 + 5 + 2)*3. -6*sqrt(7) + 18 Simplify sqrt(77)/(sqrt(11) + (sqrt(11) - sqrt(44)/sqrt(4)*3))*5 + (-3 + sqrt(567)*2 + 2)**2. -41*sqrt(7) + 2269 Simplify 2*((sqrt(63) + sqrt(567)*6)**2 + sqrt(7) + (sqrt(112) - (sqrt(112)*-2 + sqrt(112))) + sqrt(14)/sqrt(2)*3). 24*sqrt(7) + 45486 Simplify (2 + (0 + 2 + sqrt(1700)*-1)**2)*-1. -1706 + 40*sqrt(17) Simplify 2*(sqrt(102) + -2*1*sqrt(102))/((sqrt(36)/sqrt(3))/sqrt(2)). -2*sqrt(17) Simplify ((sqrt(204) + -2*-2*sqrt(204) + sqrt(204) + sqrt(204))/((sqrt(144)/sqrt(4))/sqrt(3)) + -4)**2. -56*sqrt(17) + 849 Simplify (5 + 6*(-2*sqrt(448))**2 + 4)*-5. -53805 Simplify (4*(sqrt(1053) + 2)*3*3)**2. 46656*sqrt(13) + 1369872 Simplify (((sqrt(224) + (2*sqrt(224) - sqrt(224)) + sqrt(224))*-3)/sqrt(8))/(6*(sqrt(4) + (sqrt(48) + sqrt(432))/sqrt(12))). -3*sqrt(7)/10 Simplify 2*(sqrt(325) - (sqrt(325) + sqrt(325) + -1 + sqrt(325) - sqrt(325)))**2 + (-4*(sqrt(13) - sqrt(13)*2))**2 + -1. -20*sqrt(13) + 859 Simplify (3*(4 + (4 + 2*sqrt(405) - sqrt(405)))*3)**2. 11664*sqrt(5) + 37989 Simplify (5*(sqrt(108) + (sqrt(108) - -4*sqrt(108)) + sqrt(108)))/((sqrt(36)/sqrt(4) - sqrt(9))*5 + 2*sqrt(441)). 5*sqrt(3) Simplify (0 + 5 + 2*sqrt(242) + -3 + 4)**2. 264*sqrt(2) + 1004 Simplify (sqrt(500) + sqrt(500) + (sqrt(500) + (sqrt(500) - (sqrt(500) + -1)))*-5 + -1)**2 + -2. 360*sqrt(5) + 4534 Simplify (sqrt(2058)*-2)/(sqrt(96)/sqrt(4)). -7*sqrt(7) Simplify 2 + sqrt(637) + -5 - (sqrt(1872) - ((2 + sqrt(1872))**2 + sqrt(1872) + 0 + sqrt(1872) - sqrt(1872)) - sqrt(1872) - sqrt(1872)). 79*sqrt(13) + 1873 Simplify 2 + (3 + sqrt(243) + 1 - (-1*sqrt(243) - sqrt(243))*1). 6 + 27*sqrt(3) Simplify (-4 + sqrt(1008) + 5*(sqrt(1008) + -2))**2*-4 + 2. -145934 + 8064*sqrt(7) Simplify (sqrt(21) + (sqrt(21) - sqrt(1344)*1))/(-1*sqrt(3)*3) - ((2 + sqrt(63))**2 + sqrt(21)/(sqrt(3) - sqrt(108)) + sqrt(7)). -67 - 54*sqrt(7)/5 Simplify 5*(sqrt(88) + sqrt(88)*1 + sqrt(88))/sqrt(8) + (-2*sqrt(539))**2*-4. -8624 + 15*sqrt(11) Simplify 3 + ((sqrt(84) - -5*-1*sqrt(84))/((-2*sqrt(21))/sqrt(7)))**2*1. 115 Simplify ((5*sqrt(36)/sqrt(2) + 4*sqrt(288))/(-4*(sqrt(96) + (1*sqrt(96) - sqrt(96))))*-4)**2. 1323/16 Simplify (-2 + sqrt(52) + sqrt(156)/sqrt(3) + sqrt(52) + -4)**2 + -2 + ((sqrt(624) + (sqrt(624) - 2*sqrt(624)))/sqrt(12))**2. -72*sqrt(13) + 502 Simplify ((sqrt(288) + 1 + sqrt(288) + 3 - (sqrt(288) - (2*sqrt(288) + sqrt(288)))*5) + (sqrt(288) + 0 - sqrt(288))*1 + sqrt(288) + 2)**2. 1872*sqrt(2) + 48708 Simplify 6*((sqrt(132)*1)/sqrt(6))/(sqrt(99)/(sqrt(63)/sqrt(7)))*3. 18*sqrt(2) Simplify (((sqrt(5) - (sqrt(5) + 1 + sqrt(605))) + (sqrt(5) - sqrt(15)/sqrt(3)*3) + sqrt(5))**2 + -5)*-4. -2864 - 96*sqrt(5) Simplify -4 + ((sqrt(104) + sqrt(104) + 2*sqrt(104))/sqrt(4))/(sqrt(4)/(sqrt(2) + -3*sqrt(2)) + sqrt(2) - sqrt(2) - sqrt(2)). -8*sqrt(13)/3 - 4 Simplify -3*(((-2*sqrt(26))/sqrt(2) + 5)**2 - (sqrt(91)/(-1*sqrt(7)) + -2)). -237 + 57*sqrt(13) Simplify (6*(-1*sqrt(600))/(-1*sqrt(50))*-6)**2 + 3. 15555 Simplify ((2*-3*sqrt(400) - sqrt(400)) + sqrt(400))/(2*sqrt(32)/sqrt(4) - 5*sqrt(32)). 15*sqrt(2)/4 Simplify (5*4*sqrt(175) + -2)**2 + 5. -400*sqrt(7) + 70009 Simplify (-1*((sqrt(130) - (sqrt(130) + -2*sqrt(130)))*-2 - sqrt(130))/((3*sqrt(30))/sqrt(3)))**2. 325/9 Simplify ((sqrt(64)*4*-1 - sqrt(64))/(sqrt(8) - 3*sqrt(200)) + 3)**2. 30*sqrt(2)/7 + 491/49 Simplify -2 + ((sqrt(48) - (sqrt(48)*-3 + sqrt(48))) + -3 + -5 + sqrt(432))**2. -384*sqrt(3) + 1790 Simplify (-3*(sqrt(396) + 1) - (1 + sqrt(396)*1)**2 - (2 + sqrt(396) + (1 + sqrt(396))**2 + -4)) + 5. -790 - 48*sqrt(11) Simplify (4 + sqrt(6050)*-2 + 6*(sqrt(6050) + 2 + sqrt(6050)) + -2)**2. 15400*sqrt(2) + 605196 Simplify -3*((sqrt(19) - sqrt(38)/sqrt(2)) + -4)**2 - ((-1*sqrt(152))/sqrt(8) + 0). -48 + sqrt(19) Simplify ((sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(432)/sqrt(9))/sqrt(4))))/((sqrt(8)*6)/sqrt(2)))**2. 0 Simplify 3 + 1*(sqrt(175) + -1 + -2)**2*2. -60*sqrt(7) + 371 Simplify 6*((sqrt(209)/sqrt(99) - sqrt(19)) + sqrt(19)) + -6*(sqrt(304) - (sqrt(304) + sqrt(304) + -2 + sqrt(304)))**2. -7320 + 194*sqrt(19) Simplify ((-3*(sqrt(288)/(sqrt(12)*1) + sqrt(24)))/(-1*-3*sqrt(48)))**2. 2 Simplify 3 + ((-3*sqrt(200))**2 - (-2 + sqrt(2))**2*-1). -4*sqrt(2) + 1809 Simplify -5 + 2*sqrt(3) + -1 + (-2 + sqrt(300) + sqrt(3) - (sqrt(60)/sqrt(2))/sqrt(10))**2. -38*sqrt(3) + 298 Simplify -3*-2*(-3 + sqrt(72)*-2 + 1). -72*sqrt(2) - 12 Simplify ((sqrt(1089) - sqrt(1089)*4)*-3)/(-6*-4*sqrt(75)). 33*sqrt(3)/40 Simplify (-2 + 3*((sqrt(1584) + 0)**2 - sqrt(1584)))*3. -108*sqrt(11) + 14250 Simplify ((sqrt(15) - -2*sqrt(1215)) + sqrt(120)/(sqrt(8) + -2*sqrt(8)))/((sqrt(30) + sqrt(120))/sqrt(6)*5). 6*sqrt(3)/5 Simplify (sqrt(78) + sqrt(78)*-2*1)/(2*sqrt(384)) + -2. -2 - sqrt(13)/16 Simplify 5 + (sqrt(60) - 5*sqrt(240)/sqrt(4))/(sqrt(12) - (sqrt(144)/(sqrt(24)/sqrt(2)) + sqrt(12)))*3. 5 + 12*sqrt(5) Simplify (-3 + (-1 + sqrt(128) - sqrt(128)) + sqrt(128)*1*3)**2*-5. -5840 + 960*sqrt(2) Simplify (4*1*sqrt(133) - sqrt(133) - -1*sqrt(133)*2)/(4*sqrt(175)*1) + 4. sqrt(19)/4 + 4 Simplify (2*(sqrt(76)*1*3 - sqrt(76) - sqrt(76))/sqrt(4) + -5)*6. -30 + 12*sqrt(19) Simplify (4*(-1 + sqrt(2) + -3))**2 + sqrt(4)/(sqrt(6)/sqrt(3))*6. -122*sqrt(2) + 288 Simplify (5*sqrt(90))/(6*sqrt(200)). sqrt(5)/4 Simplify (sqrt(10)/((sqrt(10)/sqrt(5) + sqrt(2) + sqrt(2))*-2) + -4 + -5 + sqrt(5)*-3)**2*-4. -4721/9 - 228*sqrt(5) Simplify (-2*sqrt(475)*-4 - (2*(-3*sqrt(152) + sqrt(152)))/sqrt(8)) + 2. 2 + 44*sqrt(19) Simplify 6*((sqrt(11) - (sqrt(99) + 2 + sqrt(11))**2 - sqrt(11)) + sqrt(11)) + (sqrt(110) - (sqrt(110) + sqrt(110)*3 + sqrt(110) + sqrt(110))*1)/sqrt(10). -1080 - 95*sqrt(11) Simplify (2*sqrt(3087)*3)/(sqrt(90)/(sqrt(10) + sqrt(40)*-2))*-1. 126*sqrt(7) Simplify (sqrt(256) - (6*(sqrt(256) + (sqrt(256) - sqrt(256)*2)) + sqrt(256)))/((2*sqrt(8) + sqrt(8) + sqrt(8))*-1)*-3 + -2. -2 Simplify -1*(sqrt(7) + 0) + 1 + 3*((1*sqrt(77) - sqrt(77))/sqrt(11) - sqrt(7))**2. -sqrt(7) + 22 Simplify ((sqrt(252)/(sqrt(216)/sqrt(6)))/(sqrt(64) + (sqrt(64) + sqrt(64) + sqrt(64)*1*-5 - sqrt(64))))**2. 7/576 Simplify (3 + (((sqrt(1900)*1 - sqrt(1900)) + -5)**2 - (sqrt(1900) + -1)*-5))*-1. -50*sqrt(19) - 23 Simplify (-2 + sqrt(27)/(sqrt(9) - (sqrt(81) + sqrt(9))) - (sqrt(243) + ((sqrt(243) + 2)*-3 - sqrt(243))))**2. 640*sqrt(3)/3 + 6448/3 Simplify -5*(5 + 3 + 5 + sqrt(68)). -65 - 10*sqrt(17) Simplify 2*(6*sqrt(228)*4)/(sqrt(48)/(sqrt(16) + sqrt(4))). 144*sqrt(19) Simplify (-2*sqrt(112)*2 - (-1 + (sqrt(112) + -1 - sqrt(112))) - -1*sqrt(112)*2*-6)**2. -256*sqrt(7) + 28676 Simplify (2*sqrt(490) +
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {v: 2, a: 2, x: 5}. What is prob of picking 3 x and 1 a? 10/63 Calculate prob of picking 2 j and 2 f when four letters picked without replacement from {t: 1, j: 3, k: 2, f: 4, h: 1}. 3/55 What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuuuuuuukuuuu? 4/5 What is prob of picking 1 w, 1 i, 1 c, and 1 p when four letters picked without replacement from {p: 9, w: 5, i: 1, c: 1}? 9/364 Three letters picked without replacement from {t: 1, m: 3, e: 4, l: 2}. Give prob of picking 1 t and 2 m. 1/40 Three letters picked without replacement from rraahrhtt. Give prob of picking 1 a and 2 t. 1/42 Two letters picked without replacement from {t: 1, l: 1, b: 5, x: 2}. What is prob of picking 1 l and 1 x? 1/18 What is prob of picking 1 p and 3 o when four letters picked without replacement from {o: 4, p: 3, w: 2}? 2/21 What is prob of picking 3 w when three letters picked without replacement from {w: 9}? 1 Two letters picked without replacement from xxxxxndixxnd. Give prob of picking 2 x. 7/22 Three letters picked without replacement from kkkkk. Give prob of picking 3 k. 1 What is prob of picking 3 x and 1 j when four letters picked without replacement from ywxwjfxxjxxxw? 8/143 What is prob of picking 2 l when two letters picked without replacement from {l: 4, g: 2, e: 3}? 1/6 What is prob of picking 2 n and 1 l when three letters picked without replacement from xnlllxlnnlnx? 3/22 Calculate prob of picking 3 t when three letters picked without replacement from gtttzxxzstx. 4/165 Four letters picked without replacement from wiwiiww. Give prob of picking 2 i and 2 w. 18/35 Calculate prob of picking 3 p when three letters picked without replacement from ppppppvvppp. 28/55 Two letters picked without replacement from woywooulouylyy. Give prob of picking 1 u and 1 l. 4/91 What is prob of picking 1 z, 1 i, and 1 o when three letters picked without replacement from izsszzbzzszsobz? 1/65 Calculate prob of picking 2 l, 1 n, and 1 o when four letters picked without replacement from odnll. 1/5 Two letters picked without replacement from {d: 2, b: 2, g: 2, x: 2}. What is prob of picking 1 g and 1 d? 1/7 Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {f: 3, p: 2, k: 1, x: 5, r: 1, w: 1}. 2/143 Two letters picked without replacement from {r: 1, j: 1, f: 1}. What is prob of picking 1 f and 1 j? 1/3 Two letters picked without replacement from kkkkknknnnnn. Give prob of picking 2 n. 5/22 What is prob of picking 1 w, 1 m, and 1 p when three letters picked without replacement from {g: 1, p: 1, h: 2, w: 5, m: 1, a: 3}? 5/286 Four letters picked without replacement from {y: 1, w: 3, x: 1, f: 1, t: 1, c: 5}. What is prob of picking 1 w, 1 y, 1 t, and 1 c? 1/33 What is prob of picking 1 h and 2 o when three letters picked without replacement from {h: 2, o: 1}? 0 Four letters picked without replacement from {r: 1, t: 6, z: 1, l: 2, b: 5}. What is prob of picking 3 t and 1 z? 4/273 Three letters picked without replacement from pjpgggaagaa. Give prob of picking 1 g, 1 a, and 1 j. 16/165 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from pkkculwlluukpwu. 4/35 Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {h: 1, r: 1, f: 1, n: 2, u: 3, d: 3}. 2/55 Two letters picked without replacement from {g: 4, e: 1, s: 2, d: 3, h: 4, m: 1}. What is prob of picking 2 d? 1/35 Four letters picked without replacement from {e: 10, z: 10}. What is prob of picking 3 e and 1 z? 80/323 What is prob of picking 2 q, 1 v, and 1 j when four letters picked without replacement from vvjvzvvvzzvqvvvvvvq? 13/3876 Three letters picked without replacement from {n: 2, h: 2}. Give prob of picking 3 n. 0 Two letters picked without replacement from ujbsubbubzu. Give prob of picking 1 z and 1 j. 1/55 What is prob of picking 1 f, 1 u, and 1 r when three letters picked without replacement from {f: 2, l: 1, r: 7, c: 2, u: 3, v: 3}? 7/136 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from {n: 1, y: 4, m: 1, d: 1, r: 2}. 1/84 Two letters picked without replacement from hhyyhyhhhyyyy. What is prob of picking 2 y? 7/26 Three letters picked without replacement from bbjbbbbbj. Give prob of picking 1 j and 2 b. 1/2 Three letters picked without replacement from {y: 2, j: 1, h: 1, v: 2, q: 1, z: 1}. What is prob of picking 1 y and 2 v? 1/28 What is prob of picking 1 j and 1 a when two letters picked without replacement from {h: 3, a: 1, j: 1, t: 3, g: 2, o: 1}? 1/55 Three letters picked without replacement from sodhopllodd. What is prob of picking 2 o and 1 p? 1/55 What is prob of picking 1 t, 1 v, and 1 c when three letters picked without replacement from {c: 3, l: 1, m: 1, t: 1, v: 1}? 3/35 Four letters picked without replacement from {p: 3, i: 1, s: 8, y: 2, e: 1, t: 1}. Give prob of picking 1 s, 1 y, 1 t, and 1 p. 12/455 What is prob of picking 3 j when three letters picked without replacement from jejheejj? 1/14 Calculate prob of picking 2 w, 1 q, and 1 j when four letters picked without replacement from {q: 1, e: 5, w: 4, j: 1}. 1/55 What is prob of picking 2 j and 1 g when three letters picked without replacement from {j: 3, a: 1, c: 1, x: 3, g: 1, s: 6}? 3/455 Three letters picked without replacement from {i: 2, t: 1, f: 1, s: 5, c: 1}. Give prob of picking 1 i, 1 f, and 1 c. 1/60 Three letters picked without replacement from ozzzzzzzzzzozzoozz. What is prob of picking 3 z? 91/204 Calculate prob of picking 1 r and 2 e when three letters picked without replacement from here. 1/4 What is prob of picking 2 f when two letters picked without replacement from {d: 9, f: 9}? 4/17 Four letters picked without replacement from ixiisixiixx. What is prob of picking 1 x and 3 i? 8/33 Calculate prob of picking 2 z and 1 f when three letters picked without replacement from fzfffz. 1/5 What is prob of picking 1 z and 1 s when two letters picked without replacement from {w: 3, s: 5, z: 2}? 2/9 What is prob of picking 2 k and 1 s when three letters picked without replacement from {c: 1, v: 3, m: 1, k: 3, s: 1, w: 5}? 3/364 Two letters picked without replacement from aaaaaaagaaaaaaa. Give prob of picking 1 g and 1 a. 2/15 Four letters picked without replacement from ellllfleef. Give prob of picking 1 l and 3 e. 1/42 What is prob of picking 4 t when four letters picked without replacement from {w: 6, g: 3, t: 4}? 1/715 What is prob of picking 2 u when two letters picked without replacement from xxuuxxxxux? 1/15 What is prob of picking 3 h when three letters picked without replacement from hrhhhhhhhhrhhhhhhr? 455/816 Four letters picked without replacement from ckqohoeke. Give prob of picking 2 k, 1 h, and 1 q. 1/126 Three letters picked without replacement from {x: 12, t: 6}. What is prob of picking 3 t? 5/204 Calculate prob of picking 1 g, 1 l, and 1 z when three letters picked without replacement from {g: 1, j: 2, t: 3, z: 1, l: 5, f: 1}. 5/286 Three letters picked without replacement from {j: 13, x: 5}. Give prob of picking 3 j. 143/408 Three letters picked without replacement from jjjbbbbbbbb. Give prob of picking 3 j. 1/165 Four letters picked without replacement from {y: 2, n: 1, b: 4, m: 5, t: 2}. Give prob of picking 2 y, 1 t, and 1 n. 2/1001 Calculate prob of picking 1 p and 3 u when four letters picked without replacement from {p: 4, v: 1, u: 9}. 48/143 Four letters picked without replacement from {a: 2, z: 7}. Give prob of picking 4 z. 5/18 Four letters picked without replacement from uqqqquuqwwqqqqww. What is prob of picking 1 w, 2 u, and 1 q? 27/455 Two letters picked without replacement from rrrurcrruurrrruurru. What is prob of picking 2 u? 5/57 Calculate prob of picking 2 y and 1 a when three letters picked without replacement from hyyhbayabhhhyhhbyhy. 10/323 Two letters picked without replacement from {w: 1, b: 11}. What is prob of picking 2 b? 5/6 Four letters picked without replacement from ooovboobbobbomobdvb. What is prob of picking 2 b, 1 v, and 1 o? 28/323 Four letters picked without replacement from sndmnnmnnnkmns. Give prob of picking 2 s, 1 k, and 1 m. 3/1001 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
-14 divided by -2747 14/2747 Calculate 14511 divided by -4837. -3 Divide -64692 by -10782. 6 Divide -47955 by -69. 695 What is -53 divided by 3159? -53/3159 Calculate 96407 divided by -1. -96407 Calculate 26048 divided by 148. 176 Calculate -1631751 divided by 8283. -197 What is 262896 divided by 1? 262896 What is 223872 divided by 1696? 132 -4 divided by -23916 1/5979 44173 divided by 19 44173/19 1 divided by -12711 -1/12711 What is 146 divided by 171? 146/171 Calculate 139216 divided by -8701. -16 What is -951126 divided by 6? -158521 358873 divided by 5 358873/5 -1915940 divided by 4 -478985 -344010 divided by -2 172005 What is 74404 divided by -4? -18601 Calculate 97850 divided by -5. -19570 Divide 8789 by 3. 8789/3 What is -120515 divided by 5? -24103 -107985 divided by -5 21597 Calculate 10 divided by -203. -10/203 Calculate 396831 divided by -3. -132277 -338108 divided by -2 169054 What is -581 divided by -1282? 581/1282 Divide -5 by 98273. -5/98273 Divide -11647 by -48. 11647/48 -15 divided by -482086 15/482086 What is -9289 divided by 84? -1327/12 -51570 divided by 3 -17190 -184 divided by 2954 -92/1477 8 divided by -14708 -2/3677 Divide -103 by 257. -103/257 What is 126016 divided by -2864? -44 440 divided by -7 -440/7 Divide 1 by -12938. -1/12938 -4 divided by 1213003 -4/1213003 1063050 divided by 3 354350 2 divided by -467532 -1/233766 -4295190 divided by 6 -715865 4 divided by 42752 1/10688 What is 1544956 divided by -92? -16793 Calculate -1495 divided by 780. -23/12 252 divided by 126 2 Divide 995848 by -2. -497924 -24465 divided by 7 -3495 What is 1850856 divided by -28? -66102 What is 2100378 divided by -602? -3489 What is 398220 divided by -20? -19911 -1 divided by 7459 -1/7459 7136 divided by -892 -8 Calculate -1763 divided by -169. 1763/169 Calculate 591 divided by 42. 197/14 Calculate 28629 divided by -3181. -9 Calculate 24682 divided by -7. -3526 Divide -7520 by 8. -940 Calculate 429248 divided by 107312. 4 Calculate 804537 divided by 268179. 3 What is 4 divided by -2261? -4/2261 22 divided by 280352 11/140176 523005 divided by -4395 -119 Calculate -388781 divided by 6. -388781/6 Calculate 2850972 divided by 950324. 3 Divide -113255 by -1. 113255 Calculate 1764 divided by -64. -441/16 Divide -26151230 by -5. 5230246 -669004 divided by 6 -334502/3 Divide -20 by -60286. 10/30143 What is -56766 divided by 6? -9461 Divide 701900 by 70190. 10 Calculate 11 divided by 222724. 11/222724 Calculate 7 divided by -632536. -7/632536 1889184 divided by -22 -85872 Calculate -4 divided by 42193. -4/42193 What is 886 divided by 220? 443/110 Calculate -3424296 divided by 732. -4678 625 divided by 104 625/104 2681659 divided by -29 -92471 Calculate -5 divided by 16316. -5/16316 Calculate -720 divided by -62. 360/31 Calculate 42901 divided by 1. 42901 98 divided by -1249 -98/1249 Calculate -2705 divided by 144. -2705/144 What is 4 divided by -11738? -2/5869 92134 divided by -46067 -2 9955 divided by 6 9955/6 What is -25 divided by 40559? -25/40559 Divide 20 by -7666. -10/3833 Divide -15 by 12294. -5/4098 Divide -11429067 by 3. -3809689 Divide -5 by 1606180. -1/321236 What is -2 divided by -8229? 2/8229 What is 3 divided by -5793? -1/1931 What is -3328548 divided by 832137? -4 What is 324629 divided by 4? 324629/4 Divide -4 by -357267. 4/357267 What is 1523030 divided by -289? -5270 What is 650893 divided by -2? -650893/2 Calculate 24630 divided by -4926. -5 Divide 2 by 1719. 2/1719 Divide -264846 by -7158. 37 -97728 divided by -2036 48 What is -886 divided by 123? -886/123 Calculate 693650 divided by 50. 13873 Calculate -1194390 divided by 5770. -207 Calculate -995166 divided by -6. 165861 -1255346 divided by -627673 2 90592 divided by 45296 2 Calculate 21816 divided by -101. -216 Calculate 3199 divided by -9. -3199/9 Calculate -1 divided by -511272. 1/511272 Calculate 27484668 divided by -6. -4580778 Divide 227 by 3649. 227/3649 Divide -253792 by 1133. -224 Divide 16845 by 3. 5615 Divide 166344 by -87. -1912 795226 divided by 795226 1 Calculate 23736 divided by 12. 1978 Calculate -70470 divided by -810. 87 Calculate -72873 divided by -1. 72873 -5950 divided by 3 -5950/3 What is -66 divided by 286? -3/13 3780 divided by 945 4 What is 93 divided by -194? -93/194 Divide 2399535 by 479907. 5 What is -6 divided by 28268? -3/14134 -333687 divided by 333687 -1 45 divided by -18621 -5/2069 169 divided by 636 169/636 Divide 33 by 5617. 33/5617 Calculate -110010 divided by 3. -36670 Calculate 8826 divided by -70. -4413/35 -284052 divided by 6 -47342 Divide 87768 by -14628. -6 308870 divided by 2 154435 -1397032 divided by 2 -698516 -416 divided by -39 32/3 Divide 3189 by -107. -3189/107 What is -25089 divided by 15? -8363/5 -4900 divided by -350 14 What is 3184856 divided by 152? 20953 Divide 17135 by -3427. -5 What is -836296 divided by -209074? 4 Divide -895 by -509. 895/509 What is 2141955 divided by 142797? 15 -212 divided by -183 212/183 Divide -19872 by 24. -828 Divide -102420 by -6. 17070 Divide 2713 by 1039. 2713/1039 -77780 divided by -45 15556/9 Divide 915018 by -6. -152503 Divide -15 by -7257. 5/2419 Divide 7402 by 79. 7402/79 Divide -89106 by -6. 14851 Divide -497380 by -2. 248690 5757 divided by 101 57 What is 826942 divided by -2? -413471 Calculate 256866 divided by -3. -85622 What is -20 divided by 9569? -20/9569 Calculate 5712 divided by -74. -2856/37 2172870 divided by -21 -103470 Calculate 348850 divided by 5. 69770 Calculate -26112 divided by -256. 102 What is 1 divided by -4788? -1/4788 What is 10230 divided by -5? -2046 45878 divided by -2 -22939 What is -4 divided by 18310? -2/9155 Divide -193 by -268. 193/268 Divide -1 by -403163. 1/403163 Calculate 35292 divided by 8823. 4 Calculate 312 divided by 2877. 104/959 6000 divided by 75 80 What is -603400 divided by 5? -120680 Calculate 16577 divided by 4. 16577/4 1328254 divided by 2302 577 -2446 divided by -2446 1 Calculate 35376 divided by 88. 402 Divide 337059 by 19827. 17 What is -3110 divided by 5? -622 Divide -606631 by -179. 3389 Calculate -1055250 divided by -402. 2625 Divide -12 by -239. 12/239 -217478 divided by -108739 2 -15840 divided by 5 -3168 129270 divided by -15 -8618 What is 711382 divided by 5831? 122 Divide 15992 by 3. 15992/3 What is -111 divided by 396? -37/132 -105944 divided by -2584 41 Calculate 7589 divided by -81. -7589/81 Calculate -775516 divided by -2. 387758 What is -33909 divided by -381? 89 Calculate -469 divided by -93. 469/93 Divide -2 by 1407. -2/1407 Calculate -5 divided by -80411. 5/80411 Divide 1630524 by 188. 8673 What is 866 divided by 95? 866/95 Calculate -13 divided by 95934. -13/95934 Divide 1414682 by 6. 707341/3 Calculate 430440 divided by 40. 10761 1491 divided by 7 213 What is -4506764 divided by 4? -1126691 Divide -139 by -4835. 139/4835 Divide 665186 by -89. -7474 Calculate 27603 divided by -48. -9201/16 What is -90810 divided by 15? -6054 Divide -146 by -5439. 146/5439 Calculate -53518 divided by -26759. 2 Divide -30896 by 10. -15448/5 -53184 divided by -12 4432 124179 divided by -6 -41393/2 -444600 divided by 88920 -5 35218 divided by -5 -35218/5 Divide -341870 by -10. 34187 Divide -109737 by 801. -137 0 divided by 39689 0 Divide 314144 by 8. 39268 -191 divided by 1450 -191/1450 Divide 330645 by 35. 9447 What is -442080 divided by -90? 4912 7437 divided by -152 -7437/152 What is 27675 divided by -41? -675 37616 divided by -2 -18808 Calculate -321 divided by 431. -321/431 Calculate 94000 divided by -25. -3760 Divide -87 by -17765. 87/17765 Divide -163 by 587. -163/587 -87140 divided by 6 -43570/3 Divide 51354 by 27. 1902 What is 0 divided by -5184? 0 Calculate -19418 divided by 3. -19418/3 What is 187583 divided by -7? -187583/7 Calculate -6006 divided by 286. -21 What is -6104 divided by -254? 3052/127 Divide 291 by 51. 97/17 What is 6182 divided by -6? -3091/3 What is -9 divided by -3744? 1/416 Calculate -5 divided by 13009. -5/13009 Divide -5395 by 99. -5395/99 -13216 divided by 28 -472 Calculate -96064 divided by -3. 96064/3 Divide -1843 by -2953. 1843/2953 -23171 divided by -9 23171/9 Calculate -1654264 divided by 4. -413566 Divide 255897 by 9. 28433 -15216 divided by -3804 4 What is 3 divided by -3038? -3/3038 Calculate -1
{ "pile_set_name": "DM Mathematics" }
of -6257, -12395, -18531, -24665? z**2 - 6141*z - 117 What is the w'th term of 445570, 891138, 1336706, 1782274, 2227842, 2673410? 445568*w + 2 What is the g'th term of -20944, -20934, -20924? 10*g - 20954 What is the d'th term of -2451, -2276, -1987, -1584, -1067, -436? 57*d**2 + 4*d - 2512 What is the z'th term of -917, -865, -813, -761, -709, -657? 52*z - 969 What is the z'th term of 72, 702, 2414, 5748, 11244, 19442, 30882? 90*z**3 + z**2 - 3*z - 16 What is the l'th term of -404901, -404905, -404909, -404913, -404917, -404921? -4*l - 404897 What is the q'th term of 109928, 109947, 109970, 109997, 110028? 2*q**2 + 13*q + 109913 What is the l'th term of -641289, -641276, -641253, -641214, -641153, -641064? l**3 - l**2 + 9*l - 641298 What is the t'th term of 176, 338, 500, 662, 824? 162*t + 14 What is the h'th term of 458, 966, 1520, 2126, 2790, 3518? h**3 + 17*h**2 + 450*h - 10 What is the z'th term of 176, 346, 498, 632? -9*z**2 + 197*z - 12 What is the q'th term of -13170, -12940, -12710, -12480, -12250? 230*q - 13400 What is the p'th term of 197, 221, 255, 299, 353? 5*p**2 + 9*p + 183 What is the n'th term of 5604, 11245, 16886, 22527, 28168, 33809? 5641*n - 37 What is the a'th term of -10673, -10665, -10659, -10655, -10653, -10653, -10655? -a**2 + 11*a - 10683 What is the m'th term of 56, 112, 168, 224, 280? 56*m What is the v'th term of -857, -1703, -2551, -3401, -4253, -5107? -v**2 - 843*v - 13 What is the f'th term of 127561, 255126, 382691, 510256? 127565*f - 4 What is the c'th term of 13, 146, 509, 1216, 2381, 4118, 6541, 9764? 19*c**3 + c**2 - 3*c - 4 What is the g'th term of 332474, 332475, 332476? g + 332473 What is the t'th term of -474, -936, -1394, -1848, -2298? 2*t**2 - 468*t - 8 What is the f'th term of 276119, 276120, 276121? f + 276118 What is the b'th term of 62, 125, 206, 305, 422, 557, 710? 9*b**2 + 36*b + 17 What is the n'th term of -29835, -29833, -29831, -29829, -29827? 2*n - 29837 What is the m'th term of 2490, 2488, 2490, 2490, 2482? -m**3 + 8*m**2 - 19*m + 2502 What is the m'th term of 37, 74, 111, 148, 185? 37*m What is the w'th term of 506733, 506735, 506737? 2*w + 506731 What is the n'th term of -10563, -21117, -31671, -42225, -52779, -63333? -10554*n - 9 What is the l'th term of -1457, -1713, -1971, -2231, -2493, -2757? -l**2 - 253*l - 1203 What is the t'th term of -1410, -2299, -3174, -4029, -4858, -5655, -6414? t**3 + t**2 - 899*t - 513 What is the q'th term of -569, -1205, -1841, -2477, -3113? -636*q + 67 What is the f'th term of 160, 1075, 3564, 8413, 16408, 28335, 44980? 131*f**3 + f**2 - 5*f + 33 What is the y'th term of 36973, 36967, 36959, 36949, 36937? -y**2 - 3*y + 36977 What is the b'th term of 9965, 9986, 10021, 10070, 10133, 10210? 7*b**2 + 9958 What is the l'th term of -8226, -7943, -7648, -7335, -6998, -6631, -6228, -5783? l**3 + 276*l - 8503 What is the q'th term of 83, 205, 365, 563, 799, 1073, 1385? 19*q**2 + 65*q - 1 What is the z'th term of 1005, 3618, 7837, 13662? 803*z**2 + 204*z - 2 What is the b'th term of -1593, -1615, -1651, -1701? -7*b**2 - b - 1585 What is the v'th term of 16402, 32802, 49202, 65602, 82002? 16400*v + 2 What is the f'th term of -260, -439, -612, -779, -940, -1095? 3*f**2 - 188*f - 75 What is the t'th term of 3626727, 3626727, 3626719, 3626697, 3626655? -t**3 + 2*t**2 + t + 3626725 What is the z'th term of -1490, -1477, -1456, -1427, -1390, -1345, -1292? 4*z**2 + z - 1495 What is the v'th term of 7058, 28210, 63456, 112790, 176206, 253698? -v**3 + 7053*v**2 + 6 What is the i'th term of 19, 150, 527, 1276, 2523, 4394, 7015, 10512? 21*i**3 - 3*i**2 - 7*i + 8 What is the y'th term of -4166, -8314, -12462, -16610? -4148*y - 18 What is the i'th term of -472, -420, -338, -226? 15*i**2 + 7*i - 494 What is the o'th term of 19222, 76891, 173010, 307579, 480598, 692067, 941986? 19225*o**2 - 6*o + 3 What is the q'th term of 178873, 178869, 178865, 178861? -4*q + 178877 What is the m'th term of 3881, 3896, 3893, 3872, 3833? -9*m**2 + 42*m + 3848 What is the k'th term of -14, -18, -12, 4? 5*k**2 - 19*k What is the f'th term of -8, -65, -158, -287, -452, -653, -890? -18*f**2 - 3*f + 13 What is the u'th term of -318436, -636880, -955326, -1273774, -1592224, -1910676, -2229130? -u**2 - 318441*u + 6 What is the g'th term of -227, -846, -1855, -3254? -195*g**2 - 34*g + 2 What is the l'th term of -32, 27, 160, 397, 768, 1303, 2032, 2985? 5*l**3 + 7*l**2 + 3*l - 47 What is the i'th term of -7984, -15987, -23988, -31987, -39984, -47979, -55972? i**2 - 8006*i + 21 What is the v'th term of -40519, -40553, -40587, -40621, -40655, -40689? -34*v - 40485 What is the l'th term of 582852, 582853, 582854, 582855, 582856, 582857? l + 582851 What is the w'th term of -43223, -43229, -43231, -43223, -43199, -43153? w**3 - 4*w**2 - w - 43219 What is the q'th term of -388, -471, -562, -661? -4*q**2 - 71*q - 313 What is the q'th term of 1203, 2797, 4395, 5997, 7603? 2*q**2 + 1588*q - 387 What is the d'th term of -5518, -5500, -5470, -5428, -5374, -5308, -5230? 6*d**2 - 5524 What is the z'th term of -136, -113, -82, -37, 28, 119, 242? z**3 - 2*z**2 + 22*z - 157 What is the h'th term of 12177, 12174, 12171, 12168, 12165, 12162? -3*h + 12180 What is the r'th term of 14714, 29433, 44152, 58871, 73590? 14719*r - 5 What is the w'th term of 3, 120, 403, 930, 1779, 3028, 4755, 7038? 13*w**3 + 5*w**2 + 11*w - 26 What is the x'th term of -22528, -22533, -22542, -22555, -22572, -22593? -2*x**2 + x - 22527 What is the j'th term of -368, -668, -832, -794, -488, 152, 1192? 11*j**3 + 2*j**2 - 383*j + 2 What is the g'th term of 7665, 7679, 7707, 7755, 7829, 7935, 8079? g**3 + g**2 + 4*g + 7659 What is the d'th term of 0, 264, 674, 1206, 1836? -4*d**3 + 97*d**2 + d - 94 What is the v'th term of 1350, 2704, 4008, 5238, 6370, 7380, 8244? -4*v**3 - v**2 + 1385*v - 30 What is the g'th term of 481, 2342, 5445, 9790, 15377, 22206? 621*g**2 - 2*g - 138 What is the q'th term of -160, -8, 164, 356, 568, 800? 10*q**2 + 122*q - 292 What is the f'th term of -544, -1491, -2442, -3397? -2*f**2 - 941*f + 399 What is the t'th term of -3083, -6244, -9405? -3161*t + 78 What is the l'th term of 4756628, 4756627, 4756626, 4756625? -l + 4756629 What is the c'th term of -188, -146, -102, -56, -8, 42? c**2 + 39*c - 228 What is the u'th term of -953, -1905, -2857, -3809, -4761, -5713? -952*u - 1 What is the l'th term of -79761, -79763, -79765, -79767? -2*l - 79759 What is the f'th term of 841, 1711, 2583, 3457, 4333? f**2 + 867*f - 27 What is the t'th term of -438, -1113, -2032, -3195, -4602, -6253, -8148? -122*t**2 - 309*t - 7 What is the r'th term of -500, -675, -850? -175*r - 325 What is the i'th term of -1216, -1247, -1300, -1387, -1520, -1711? -2*i**3 + i**2 - 20*i - 1195 What is the y'th term of -4677, -9381, -14089, -18801, -23517, -28237, -32961? -2*y**2 - 4698*y + 23 What is the o'th term of -3549, -3536, -3509, -3462, -3389, -3284? o**3 + o**2 + 3*o - 3554 What is the b'th term of -122633, -122630, -122627, -122624, -122621? 3*b - 122636 What is the o'th term of 551, 559, 573, 593, 619, 651, 689? 3*o**2 - o + 549 What is the f'th term of -413, -863, -1313, -1763? -450*f + 37 What is the x'th term of 269, 580, 1099, 1826? 104*x**2 - x + 166 What is the l'th term of 556, 1101, 1642, 2179, 2712, 3241, 3766? -2*l**2 + 551*l + 7 What is the a'th term of 2011, 7696, 17159, 30394, 47395, 68156? -a**3 + 1895*a**2 + 7*a + 110 What is the j'th term of -19323, -38666, -57995, -77304, -96587, -115838, -135051, -154220? j**3 + j**2 - 19353*j + 28 What is the i'th term of 162, 170, 132, 30, -154, -438? -3*i**3 - 5*i**2 + 44*i + 126 What is the g'th term of -56, -197, -390, -629, -908, -1221, -1562, -1925? g**3 - 32*g**2 - 52*g + 27 What is the r'th term of 934, 1771, 2438, 2851, 2926, 2579? -14*r**3 - r**2 + 938*r + 11 What is the z'th term of -3996, -7057, -10120, -13185, -16252, -19321, -22392? -z**2 - 3058*z - 937 What is the u'th term of 41652, 41662, 41686, 41730, 41800, 41902? u**3 + u**2 + 41650 What is the u'th term of -49505, -99005, -148483, -197927, -247325? 2*u**3 - u**2 - 49511*u + 5 What is the x'th term of 4838, 19354, 43544, 77408, 120946? 4837*x**2 + 5*x - 4 What is the t'th term of -6579792, -6579793, -6579794? -t - 6579791 W
{ "pile_set_name": "DM Mathematics" }
j to g + y*j and give y. 96 Rearrange -1 - 6*w**2 - 3*w**2 + w**2 - 1 to the form z*w + b*w**2 + d and give d. -2 Express -42*c**2 - 51*c**2 - c**2 in the form d*c**2 + s*c + k and give d. -94 Express 59*t + t**3 - 116*t + 2*t**2 + 58*t as i*t + r*t**2 + x*t**3 + h and give x. 1 Rearrange 46*q - 73*q - 4*q to c*q + o and give c. -31 Express 6*a + 16*a - 5*a - a**2 as j*a + u + y*a**2 and give y. -1 Rearrange -d - d + 0*d - 3*d - 2*d + 3*d + (-2 + 0 + 1)*(-1 - d + 1) - 7*d + 4*d - 6*d + 4*d - 3*d + 2*d - 2 + 2 + 2*d to the form n*d + j and give n. -7 Rearrange n**2 + 4*n**4 + 1 + n**4 + 2 - 3*n**4 to the form c*n**4 + y*n + k*n**3 + b*n**2 + h and give h. 3 Rearrange (0 + g + 0)*(0 + 0 + g) - 4*g + 2*g**2 + 4*g to the form y*g + f + c*g**2 and give c. 3 Express 3*f**2 + f**2 - 2*f**2 + (-5*f + 3*f + 4*f)*(28*f + 3982 - 3982) in the form r*f**2 + j*f + c and give r. 58 Express (-25*x - 4*x - 24*x)*(x**3 + 3*x - 3*x) in the form j*x**3 + k + v*x**2 + c*x**4 + a*x and give c. -53 Rearrange 0*c**2 - c**2 - 3*c**3 - 5*c**3 - 2 to f*c + v + k*c**3 + r*c**2 and give v. -2 Rearrange 7*b**2 + 3*b**2 + 12*b**2 - 8*b**2 to a*b + q + y*b**2 and give y. 14 Express 10*t**2 + 20 - 10 - 7 in the form i*t**2 + v*t + c and give i. 10 Rearrange (4*j**2 - 4*j**2 + 4*j**2)*(-3*j**2 + j**2 + 0*j**2) - 7 + 5*j**4 + 7 to i + u*j**3 + w*j + m*j**2 + r*j**4 and give u. 0 Express 5*c + 4*c - 5*c + 8*c as o*c + h and give o. 12 Express 37 - 37 - 45*w in the form o*w + s and give o. -45 Rearrange -13*y**2 - y + y - y to the form j + d*y**2 + u*y and give d. -13 Express (12*c - c**2 + 36*c - 16*c)*(3 - 3 - c) in the form d + j*c + f*c**3 + q*c**2 and give f. 1 Express (-o - o**2 + o)*(-27*o + 27*o + 12*o**2) as m*o**2 + z + r*o + j*o**3 + k*o**4 and give k. -12 Express -3*s - 17*s + 35*s as a*s + l and give a. 15 Rearrange (-s + 2*s + 0*s)*(-1 - 2 + 0) - 3*s - s - s + (5 - 1 - 3)*(-2 + s + 2) to the form y*s + r and give y. -7 Express -3*k**3 + 5 + 7*k**4 + 5*k**3 - k - 4*k**4 - k**4 in the form v*k**3 + h*k**2 + n*k**4 + d + x*k and give n. 2 Express (43 - 19 + 12)*(0 - 5*j + 3*j - 1) as t*j + n and give n. -36 Express 43*z**2 + 39*z**2 - 89*z**2 - z**3 + (4*z**2 - 4*z**2 + 2*z**2)*(2*z + z - 2*z) in the form f*z + j + g*z**2 + w*z**3 and give g. -7 Rearrange 2*x**4 - 7 + x**4 - x**4 + x**3 + 4 to the form k + n*x**4 + v*x**3 + w*x**2 + c*x and give k. -3 Rearrange 6*x + 3*x**2 - 13*x + 7*x + 2 to m*x + p + u*x**2 and give p. 2 Rearrange -2 + 7*o**2 - 3*o**2 - 2*o**2 to the form v*o + c + m*o**2 and give m. 2 Rearrange -2*y**2 + y**4 + 0 - 4 + 3*y - 2*y**3 + 7 - 1 to r*y**2 + x*y**4 + b + f*y**3 + t*y and give x. 1 Express -20 + 20 + 28*s in the form j + l*s and give l. 28 Rearrange -6 + 7 - 19*c**2 + 6*c**2 to the form h + l*c**2 + f*c and give h. 1 Express 1 + 5*k + 4*k**2 + 2*k - 3*k in the form g + c*k**2 + r*k and give c. 4 Rearrange -19*y**2 + 17*y**2 - 14*y**2 + (-2*y**2 - 2*y**2 + 3*y**2)*(1 + 5 - 4) + 0 - y**2 + 0 + y + 2*y**2 - y to z*y + q + g*y**2 and give g. -17 Express -90*o**2 + 90*o**2 - 7*o**3 + 5 as y*o + k*o**2 + i + q*o**3 and give q. -7 Rearrange 5*w - 8 + 8 - 4*w + 6*w - 3*w + (-1 - 2*w + 1)*(5 + 0 - 4) + 0 + w + 0 + w - 3*w + 4 + w to l + v*w and give l. 4 Express (-d - 2*d + 2*d)*(3 - 3 + 2*d**2) - 4*d**3 - d**3 + 3*d**3 in the form n + h*d**2 + c*d**3 + x*d and give c. -4 Rearrange (-1 + 1 - t)*(-14 - t + 3 + 0*t) to the form c*t**2 + p*t + v and give p. 11 Express (-2 + 2*f + 2)*(103 - 194 - 63 - 132) as s + j*f and give j. -572 Express (i - 3*i + 3*i)*(-3 + 0 + 0)*(-i - 4*i + i)*(-1 + 2*i + 1) in the form s*i + f*i**2 + r + x*i**3 and give x. 24 Express -141*w**2 + 9*w - 2*w - 3*w - 2*w in the form c + g*w + m*w**2 and give m. -141 Express 4*f + 8*f + 2*f + 12*f in the form y*f + o and give y. 26 Rearrange 22 - 22 + 0*p**3 + p**3 + 5*p to m + b*p**2 + v*p + x*p**3 and give v. 5 Rearrange (-3*j + 4*j - 3*j)*(-2*j + 2 - 2)*(1 + 3 - 3)*(2*j + 0*j + 2*j) to k + s*j + b*j**3 + f*j**2 and give b. 16 Rearrange 10*k**4 - 2*k**2 + k**3 - 20*k**4 - 8 + 8*k**4 to x + z*k**3 + u*k**4 + i*k**2 + g*k and give u. -2 Rearrange o**3 + o**3 + 0*o**3 + (0 + 3 - 2)*(-1 + 1 - 3)*(4*o - 4*o - 2*o**3) to the form v + y*o + h*o**2 + i*o**3 and give i. 8 Express -16*y**4 + 6*y**4 - 2*y**3 + 7*y**2 + 2*y + 15*y**4 as t*y**4 + u*y + a*y**2 + r*y**3 + d and give u. 2 Express (4 + 4*g - 4)*(-2 + 5 - 1)*(-g - 4*g + 3*g)*(-2 - 6*g + 2 + (-1 + 4 - 1)*(0*g + 4*g - 2*g)) in the form u*g + o + a*g**3 + t*g**2 and give a. 32 Express 5 - 15 + 4*s**2 - 5*s**2 + 7*s - 6*s as m + p*s**2 + k*s and give m. -10 Rearrange -2*t - 4*t**2 + t**2 + 5*t**2 + 1 to j + v*t + p*t**2 and give p. 2 Express -16 - n**2 - n + 9 + 10 - 3*n as f + h*n**2 + y*n and give f. 3 Rearrange 99*i**3 - 3 - 3 - 97*i**3 - i**2 to k*i**2 + u*i + g*i**3 + f and give k. -1 Express 17*z - 33*z + 17*z as l*z + w and give l. 1 Rearrange -14*k**2 - 3 + 5*k**2 + 6*k**2 + (1 - 3 + 3)*(0*k**2 - 2*k**2 + 0*k**2) - 2*k**2 - 3*k + 3*k to the form x*k + o + p*k**2 and give p. -7 Express -w - 10*w + 0*w in the form m + l*w and give m. 0 Express (2*h - 6*h + 2*h)*(4 - 4 + 2)*(3 - 3 - 1)*(-3 + 2 + 0) as v*h + a and give v. -4 Express (31*a + 49 - 49)*(4 - 4 - 3*a**2) in the form t*a**3 + i*a**2 + s*a + o and give t. -93 Rearrange -16*y**2 + 47*y**2 - 19*y**2 to o*y**2 + l*y + a and give l. 0 Rearrange 3 - 17*m + 5 - 8 to the form g*m + q and give g. -17 Rearrange 2*f**2 + 46*f**3 - 51*f**3 - 4*f**2 + (f**2 - f + f)*(-3 + f + 3) to p + g*f + k*f**3 + s*f**2 and give k. -4 Rearrange (l - l - 2*l)*(2 + 0 - 1) + (-3*l + 2*l + 2*l)*(9 - 7 + 18) to the form u + y*l and give y. 18 Rearrange 3 - 20*a**3 - 285*a - 4 + 284*a to w + m*a**2 + b*a**3 + i*a and give w. -1 Express w - 5*w + 2*w + 3*w - 2*w - 3*w + (w + 4*w - 3*w + 0*w + 3*w - w + (-4 + 2 + 1)*(-2*w + 0*w + 0*w))*(-1 + 5 - 1) as t + m*w and give m. 14 Express -7*c**2 - 4*c**3 + 6*c**3 - 6*c**2 - 4*c**3 in the form j + u*c + l*c**3 + n*c**2 and give l. -2 Rearrange 49*y - 971 + 971 to u*y + o and give u. 49 Express -3*a + 5*a + 3*a + (0 + 3 - 2)*(0 - 1 + 2)*(4*a + a - 2*a) as u*a + f and give f. 0 Express 0*d - 42 + 3*d**2 - d - 4*d**2 + 0*d in the form o + n*d + i*d**2 and give i. -1 Rearrange -2*w**4 + 5*w**4 - w**4 + (-w - 2*w + w)*(0*w - 5*w**3 + 0*w) - w**4 - w**4 + 3*w**4 to a + f*w**3 + j*w**4 + y*w + n*w**2 and give j. 13 Express 2*z**3 + 3*z - 3*z + z**2 - 7*z**2 in the form c*z**2 + j*z**3 + t + h*z and give j. 2 Rearrange -9 - 50*y + 9 to k*y + i and give k. -50 Express (0 + 0 + a**2)*(a**2 + 0 - 2 + 0*a**2) as d*a + f*a**2 + c*a**4 + r + u*a**3 and give c. 1 Express -3 - 8*k**3 + 2*k + 15 - 11 - 2 in the form j + r*k**2 + b*k + n*k**3 and give n. -8 Express -11*l**3 + 19*l**2 - 2 - 19*l**2 as n + v*l + y*l**3 + h*l**2 and give n. -2 Rearrange 11 + 8 - 4*v + 6*v - 4*v to t*v + o and give o. 19 Express -3 - 15*h**2 + 2 - 12*h**2 + 4*h**2 as o*h + w + f*h**2 and give o. 0 Rearrange 32 - 32 + 25*u**2 + 11*u**2 to d*u**2 + t + y*u and give d. 36 Express (3 + 5*k**3 + 11*k**3 - 17*k**3)*(-3 + 3 - 2)*(2 - 4 + 0) in the form i*k**2 + b*k**3 + g*k + r and give r. 12 Express -19*x**3 + 2*x**2 - 24*x**3 - 52 + 54 as a*x + j*x**3 + l*x**2 + b and give b. 2 Rearrange -63 + 47*q + 63 to the form x*q + f and give x. 47 Express -2 + 1 + 2 - 5*r - 3 + 2*r**4 as j*r + w*r**2 + y + n*r**4 + q*r**3 and give y. -2 Express b + 47*b**3 - 46*b**3 + 7 + 8 - 2*b as p*b**3 + j*b**2 + l*b + o and give l. -1 Rearrange 18 - 6*l**2 + 2*l**2 + l**2 - 8 to h*l + a + k*l**2 and give a. 10 Rearrange (6*x - 3*x - 5*x)*(-322*x + 8*x**2 + 322*x) - 3*x**3 + 2*x**3 - x**3 to the form h*x**2 + p*x + n + z*x**3 and give z. -18 Rearrange -s**3 - 5*s**2 + 2*s**2 - s**3 - 3 to d*s**2 + p*s**3 + b*s + a and give d. -3 Express -8 - 4*c**2 + 9 + 0*c**2 - c**2 in the form v*c + d*c**2 + a and give d. -5 Express 4*p - p - p + (-4*p + 5*p - 2*p)*(-1 + 2 - 2) + 939 - 939 - 365*p in the form i*p + l and give i. -362 Express (-1 + 3*r**2 + 1)*(2*r + 3 - 3) + 4*r**3 - r**3 - r**3 in the form l*r**3 + h + g*r**2 + t*r and give l. 8 Express (-1 - 2*i**3 + 1)*(-3 + 2 - 1)*(4*i - 2*i + i) in the form d*i**2 + k*i**3 + b*i + x + v*i**4 and give k. 0 Rearrange (7 - 6 + 2)*(-1 - 3 + 0)*(-5*l**4 + l**4 + 3*l**4) to j*l + g*l**
{ "pile_set_name": "DM Mathematics" }
in decreasing order. d, 0.4, -5/6 Let a(b) = 2*b + 2. Let v be a(2). Let h be (v/4*-1)/(-3). Suppose w + u + 9 = 0, 2*w - 4*u - 8 = -w. Sort w, 3, h in descending order. 3, h, w Let w(k) = k + 7. Let y be w(-4). Suppose y*r - 18 = -6. Let u(q) = -q**3 + 6*q**2 + 6*q + 2. Let z be u(7). Put 2, r, z in increasing order. z, 2, r Let q = 13 + -13. Let o = -0.1 + 0.2. Let d = -1.1 + o. Put q, -0.4, d in ascending order. d, -0.4, q Let a(t) = 4 - 2*t**3 + 3*t**3 - 2 + 4 - 6*t**2 + 3*t. Let b be a(5). Put 5, -5, b in increasing order. -5, b, 5 Suppose 0 = -w - 4 + 1. Sort 0, 9, w. w, 0, 9 Let v(j) be the third derivative of -j**4/6 - j**3/6 - j**2. Let w be v(-1). Suppose 2*n = -w*n - 20. Sort 1, -3, n in decreasing order. 1, -3, n Let v = 1501/9 + -167. Let k = -0.91 + 0.11. Let s = 0.4 + k. Put 0.5, s, v in descending order. 0.5, v, s Let d(r) = r**3 + 3*r**2 - 4*r - 2. Let x(t) = -3*t**3 - 8*t**2 + 11*t + 5. Let h(f) = 11*d(f) + 4*x(f). Let y be h(0). Sort 2, 3, y in descending order. 3, 2, y Let v(k) = -2*k**2 - 43*k + 23. Let d be v(-22). Sort 19, 5, d, -4 in descending order. 19, 5, d, -4 Let k be 5/(20/(-14)) - -3. Put -10/7, k, -1/6 in decreasing order. -1/6, k, -10/7 Suppose 4*z = 3*u - 2*u - 1, 0 = 4*u + 3*z - 4. Let t = -4 - -8. Let h(c) = 2*c - 2. Let i be h(0). Sort u, i, t in decreasing order. t, u, i Let k = -300.5 - -300. Let d = -0.1 - 1.9. Put k, d, 2/3 in descending order. 2/3, k, d Let b = -6/47 + 309/1316. Let u = -23/84 + b. Sort -1, u, 0.03. -1, u, 0.03 Suppose -7*x = -2*x + 3*x. Put 4, -5, 7, x in descending order. 7, 4, x, -5 Let w be (-23)/(-18) + 4/18. Let f = -0.3 + 0.1. Sort w, f, 2. f, w, 2 Suppose 0 = 2*h + h + 15. Suppose 2*y = y - 3. Put 2/5, h, y in descending order. 2/5, y, h Let a = 14 - 13. Suppose m - a = -4. Sort -4, m, 2 in descending order. 2, m, -4 Let r = -114 - -118. Sort r, 0, -3, 5 in increasing order. -3, 0, r, 5 Let z = -6 - -3. Let o = -17 + 18. Sort z, 0, o in ascending order. z, 0, o Let s be (-4)/6 - (-5)/3. Let q be 8/(-12) + 2/3. Let o = q - s. Sort o, 4, -4 in descending order. 4, o, -4 Let p = -0.1 - -0.1. Let n = p - 0. Let h = -1.2 - -6.2. Sort h, n, 1/3 in descending order. h, 1/3, n Let d be 5 - ((-4)/1 + 7). Put -1, -2, d in decreasing order. d, -1, -2 Let n = 11 - 14. Let j = 17 + -19.9. Let q = 3 + j. Put q, n, -2 in decreasing order. q, -2, n Let h = -11 - -11.04. Let x = -0.04 + 0.4. Let w = h + x. Put w, -1, -4 in decreasing order. w, -1, -4 Let z = -5 - -5.1. Sort z, -2, -15 in decreasing order. z, -2, -15 Let b(n) = n**3 - 5*n**2 - 5*n - 7. Let k be b(6). Let y = -15 + 21. Let c = -3 + y. Sort 0, k, c in descending order. c, 0, k Let d = 25 - 11. Let f = d + -11. Put 6, f, 0 in descending order. 6, f, 0 Let l = -50 + 51. Put -1, -3, -5, l in decreasing order. l, -1, -3, -5 Suppose 5*f - 20 = -4*b - 0, 3*b - 2*f = 38. Suppose 3*a = 4*w + 13 + 1, -w - b = -4*a. Let u = -1045/36 - -117/4. Put w, u, -2/15 in descending order. u, -2/15, w Suppose 0 = -5*d + 3*v - 34, d + 0*v + 3*v = 4. Suppose 0 = -2*s - 3*s - 15. Sort -1, s, d in decreasing order. -1, s, d Let x = 0.4 + 0. Let o = -5.9 - -6. Let r = -2.5 - -3. Put x, o, r in ascending order. o, x, r Let p = 34 + -34.2. Put 0, 2/5, p, -2/7 in ascending order. -2/7, p, 0, 2/5 Let w = 8 + -4. Let j be 2*-3*(-2)/12. Let t = j + w. Put t, 1, -1 in descending order. t, 1, -1 Let u = 0.45 + 0.05. Let w = 1 - 0.5. Let o = w + -0.9. Sort o, 1, u in increasing order. o, u, 1 Let v = -3 - -6. Let r = 1.02 - 1. Let i = 1.98 + r. Sort 0.1, v, i. 0.1, i, v Let x = -7 - -7. Let o = -71 + 353/5. Sort 1, o, x. o, x, 1 Let j = -5 + 7. Let q = 6 + -5.5. Let x = q - 0.7. Sort x, 1, j in decreasing order. j, 1, x Let l be (-9)/12*4/1. Let s(w) = w**2 + 5*w + 4. Let o be s(l). Let x = -0.042 + -0.058. Sort 1, o, x in decreasing order. 1, x, o Suppose -2*c - 4 = -5*y - 4*c, 0 = y - 2*c + 4. Let b = y + 2. Sort -4, 0, b in decreasing order. b, 0, -4 Let z(p) = 6*p**2 - p. Let i be z(1). Suppose -u - 4*u = -15. Let h be (-1)/(((-4)/u)/(-4)). Sort h, -5, i. -5, h, i Let t be (-2 + 0)*(6 + 90/(-12)). Suppose 2*q + 5*d = -3*q + 85, q = 5*d - 13. Suppose 6*x + q = 3*x. Sort x, -5, t in decreasing order. t, x, -5 Let r(x) = -x**3 + 9*x**2 + 8*x + 15. Let p be r(10). Sort -3, 3, p, 0 in increasing order. p, -3, 0, 3 Let b = 2 - 0. Suppose 5*g - 9 = b*g. Suppose i = -g + 6. Put -2, 4, i in increasing order. -2, i, 4 Suppose 6*l + 0 = -18. Sort 4, l, 41. l, 4, 41 Let u be (10/(-8))/5*0. Sort u, -24, 2 in decreasing order. 2, u, -24 Let a = -83.9 + 84. Let m = 2.4 - 2. Put a, 0, m in descending order. m, a, 0 Let w = 76 + -98. Sort 2/13, 4, w in descending order. 4, 2/13, w Let z = 2 + -1. Let s = z - 0. Let l(b) = -b**3 + 2*b**2 + b + 2. Let n be l(3). Sort s, n, 0. n, 0, s Let q be 2/(-8) - ((-105)/(-12) - 4). Suppose 5*y - c = -2*c + 5, c = 5. Suppose -5*z + 5 = -2*a, -a + 3*a = 0. Sort q, y, z in ascending order. q, y, z Let m(s) = s**2 - 8*s + 11. Let d be m(4). Suppose -3*z + 1 + 5 = 0. Sort -3, d, z. d, -3, z Let s be -1*(-2)/(-3 + 1). Suppose -f + 0*f = -1. Put f, 3, s in increasing order. s, f, 3 Suppose -3 = m - 2*q, -4*m - q - 2*q + 32 = 0. Suppose 2 + 1 = -3*p. Sort p, m, 0. p, 0, m Suppose -5 = -3*m - 2*g, 5*m - 4*m + 2 = 3*g. Suppose 12*c = 8*c - 20. Sort -3, m, c in increasing order. c, -3, m Let b be (0*4/8)/1. Put -2, b, 1 in decreasing order. 1, b, -2 Suppose 41*v = 42*v + 3. Put -0.03, 0, v, 4 in decreasing order. 4, 0, -0.03, v Let m be (-4)/2 + -1 + 0. Put -9, m, 4 in decreasing order. 4, m, -9 Let w = -0.05 - 0.25. Let x = w - -0.7. Let p = -4.4 - -4. Put -1, x, p in increasing order. -1, p, x Let b = -0.1 - -0.3. Let a = -8 + 13. Let u = 0 - 0.1. Sort b, u, a in decreasing order. a, b, u Let b = -31 - -31.2. Sort 2/3, -3, b in decreasing order. 2/3, b, -3 Let j = -6 - -10. Suppose 2 = -j*k + 6. Let b be -2 - 0 - (-1)/k. Sort 5, b, -3 in descending order. 5, b, -3 Suppose h = -5 + 1. Let f(x) = 4*x**3 - 4*x + 3*x**2 + 1 - 5*x**3 + 2*x**2. Let m be f(4). Sort -5, m, h in decreasing order. m, h, -5 Suppose 4*u = i + 22, -u + 6 = -i - 7. Sort 3, 2, i in ascending order. i, 2, 3 Let p(n) = -9*n + 6. Let j(t) = 5*t - 3. Let m(h) = 11*j(h) + 6*p(h). Let d be m(-4). Sort 0, d, -4 in descending order. 0, d, -4 Suppose -2 = -2*x + 4. Sort -5, -2, -8, x. -8, -5, -2, x Let y(f) = 2*f + 14. Let r be y(-7). Sort -5, r, -9. -9, -5, r Let z = -3 - -3. Suppose 6*v - 5*p = 4*v + 16, -2*v - 3*p - 16 = 0. Let q be (1/(-2)*v)/1. Put z, -1, q in decreasing order. q, z, -1 Let b = -3 - -2. Suppose -t + 0*t = 0. Let p = 1 - t. Put b, 4, p in descending order. 4, p, b Let r(j) = -5*j**3 + j**2 - j. Let m be r(1). Sort m, -7, 5 in descending order. 5, m, -7 Let z = 92.2 + -92. Sort -0.2, 1, z in increasing order. -0.2, z, 1 Suppose 7*w - 6*w - 17 = 0. Let s(n) = n**2 - 17*n - 5. Let f be s(w). Put f, 0, 3 in decreasing order. 3, 0, f Suppose 5*a + 23 = -3*y, -3*y - 7 = 3*a - 8*y. Suppose m = -2*w - 3*m, 0 = -2*w + 5*m - 27. Let c be 15/(-6)*w/5. Put a, 4, c in increasing order. a, c, 4 Suppose 3 = -2*h + h. Put h, 4, 2 in ascending order. h, 2, 4 Let q = -9/190 + -1/19. Sort 2/13, q, -4. -4, q, 2/13 Let t be 0/2 + (-2380)/16. Suppose a = -2*a + 444. Let m = t + a. Sort -0.5, m, 3/2 in descending order. 3/2, -0.5, m Let t = 0.31 - -3.69. Put -4, t, -4/3 in increasing order. -4, -4/3, t Let k = 18 + -15. Sort 2, k, 4 in decreasing order. 4, k, 2 Suppose 7 = 3*r + 22. Put r, 1, -1 in decreasing order. 1, -1, r Let w = -67/2 + 33. Sort w, 3, 1/8 in descending order. 3, 1/8, w Let c(x) = -2*x**2 - 1. Let q be c(1). Put q, -2, -5 in descending order. -2, q, -5 Let l be (-5)/(-60)*1*-3. Sort l, 2, -1/2 in decreasing order. 2, l, -1/2 Suppose -6 = 5*r - 26. Put 5, r, -1 in decreasing order. 5, r, -1 Let n = 26.2 + -24. Let h = 2.8 + n. Suppose -2*o + 6 = o. Sort o, h, 0.1 in decreasing order. h, o, 0.1 Let l = 0.28 - 0.11. Let c = 0.17 - l. Put -1, 1/7, c in ascending order. -1, c, 1/7 Let i = -2 - 8. Sort 1, -4, i in ascending order. i, -4, 1 Suppose -84 - 60 = -4*m. Let g be 62/m - (-4)/(-18). Sort -3, -5, g in ascending order. -5, -3, g Let f = 5 + -2. Let i be f/((-3)/(-6) + -2). Let p be ((17 - -1)/(-3))/i. Put p, -5, 2 in descending order. p, 2, -5 Let d = 97 - 51. Let
{ "pile_set_name": "DM Mathematics" }
for j. -4 Solve -1473*b + 726 = -11058 for b. 8 Solve 35*k + 5026 - 5516 = 0 for k. 14 Solve 0 = -5*p + 48*p - 15*p + 196 for p. -7 Solve -13*u - 100 = -28*u + 5 for u. 7 Solve -32*n + 57*n = 52*n - 135 for n. 5 Solve -571*h - 1455 + 1491 = -2819 for h. 5 Solve 0 = 1541*o - 1545*o + 16 for o. 4 Solve -49*r = -382 - 108 for r. 10 Solve 30*i = -9791 + 9281 for i. -17 Solve -41*l + 0*l = 31*l + 360 for l. -5 Solve -106*x + 1055 = 1797 for x. -7 Solve -300 = 914*a - 864*a for a. -6 Solve -11*p - 2*p + 680 = 693 for p. -1 Solve -1560 = -168*y - 112*y + 960 for y. 9 Solve 51 = -160*p - 289 + 20 for p. -2 Solve 95 + 450 + 92 = 49*f for f. 13 Solve -14*s = 492*s - 60*s + 5798 for s. -13 Solve 107079 = -29*x + 106818 for x. -9 Solve -40*c + 11*c - 832 = 23*c for c. -16 Solve 90*i = 23*i + 1005 for i. 15 Solve -10*r + 75*r = 5 - 785 for r. -12 Solve 39*b - 95 = -306 - 179 for b. -10 Solve -3*l = -22*l + 6*l - 39 for l. -3 Solve -60*d + 63 = -81*d for d. -3 Solve -135*w - 22*w - 1256 = 0 for w. -8 Solve -21*m = -18*m + 21*m + 360 for m. -15 Solve -12*a + 7*a = -11*a + 12 for a. 2 Solve 192*m = 96*m + 2304 for m. 24 Solve -136355 = -11*n - 136212 for n. 13 Solve 35*x + 21*x + 106 + 118 = 0 for x. -4 Solve -123*o + 2047 = 241*o + 6051 for o. -11 Solve 25*s - 14*s + 10*s = -21 for s. -1 Solve -6700 = -2137*l + 1802*l for l. 20 Solve 14*m - 38 = -31*m + 7 for m. 1 Solve -31*y = -14*y + 19*y - 360 for y. 10 Solve 66*u + 9*u - 1240 = 35*u for u. 31 Solve -50*m - 80 - 111 = 359 for m. -11 Solve -1707*k + 567 = 1728*k - 3456*k for k. -27 Solve 4704*g = 2336*g + 2346*g for g. 0 Solve 141 = -43*j + 90*j for j. 3 Solve 629*f + 12302 + 1536 = 0 for f. -22 Solve 36 - 76 = -36*o - 40 for o. 0 Solve 0 = -2*j + 629 - 643 for j. -7 Solve -39*h + 31*h - 40 = 0 for h. -5 Solve 56653*u - 56670*u - 102 = 0 for u. -6 Solve 147*a - 116*a - 496 = 0 for a. 16 Solve 692*j = 667*j + 150 for j. 6 Solve -8*u - 22 = -54*u - 758 for u. -16 Solve 1784 + 1656 = 970*q - 1410 for q. 5 Solve 144*m + 469 = -1979 for m. -17 Solve 107 = 39*g + 314 + 651 for g. -22 Solve -46*u - 24079 = -23389 for u. -15 Solve -151*w + 476 = 929 for w. -3 Solve 0 = 646*p + 38 - 38 for p. 0 Solve 0 = 323*c - 384*c for c. 0 Solve -795*q = 487*q - 185*q for q. 0 Solve 2888 = -q + 110*q + 43*q for q. 19 Solve -5*b - 11 = -8 + 37 for b. -8 Solve 3761*s = 3737*s + 528 for s. 22 Solve -41*o - 21*o = 27*o - 623 for o. 7 Solve 270*j + 7 = 276*j - 5 for j. 2 Solve 312*x - 634 - 541 = 359*x for x. -25 Solve -44*f + 110*f + 32 - 230 = 0 for f. 3 Solve -7*p = -9415 + 9457 for p. -6 Solve -24*p - p - 272 = -9*p for p. -17 Solve 18*v - 25269 = -25557 for v. -16 Solve 176 = 126*x - 590 - 620 for x. 11 Solve -114*f + 4539 = 2031 for f. 22 Solve 4281 = -34*w + 4451 for w. 5 Solve 90*d - 1580 = 169*d for d. -20 Solve 0 = 1267*i - 29250 + 5177 for i. 19 Solve 0 = 2*s + 23075 - 23117 for s. 21 Solve 154*y = 167*y + 122 - 44 for y. -6 Solve -38 = 13*z + 34 + 19 for z. -7 Solve -1634 + 134 = 60*w for w. -25 Solve -441*r - 1684 = 80 for r. -4 Solve 0 = 14014*c - 14040*c - 52 for c. -2 Solve -6 - 54 = 10*y for y. -6 Solve -4*f = -7*f + 23*f - 380 for f. 19 Solve 38*d + 35 = 16*d + 343 for d. 14 Solve -149 - 387 = -67*y for y. 8 Solve 64 = 3*z + 70 for z. -2 Solve 240 = 31*x + 29*x - 0*x for x. 4 Solve 219*o + 3785 = 23*o + 1041 for o. -14 Solve 24*q - 166 = -16*q + 234 for q. 10 Solve -5*q = -3*q + 32*q - 544 for q. 16 Solve 11 + 11 = -17*q + 5 for q. -1 Solve -1423*a = -1443*a - 80 for a. -4 Solve -23*l = 12*l - 272 - 393 for l. 19 Solve 105 = 2663*o - 2648*o for o. 7 Solve 0 = 366*t + 3937 + 1187 for t. -14 Solve -1092*v = -14675 + 479 for v. 13 Solve -y + 22 - 52 = 2*y for y. -10 Solve -50*c = 259*c + 990 + 3645 for c. -15 Solve 229*i + 218*i - 12 = 450*i for i. -4 Solve -3*g - 57*g - 694 - 86 = 0 for g. -13 Solve 3*u - 143 = -265 + 140 for u. 6 Solve 8383 - 4925 = 182*q for q. 19 Solve 11018 = 38*c + 262*c - 982 for c. 40 Solve 646*s + 348*s = -40*s + 24816 for s. 24 Solve -2924*w = -2919*w + 10 for w. -2 Solve 69*x - 54*x = 39*x for x. 0 Solve -15*z + 568 = 688 for z. -8 Solve -16*m - 27*m - 147 = 68 for m. -5 Solve -39 = 29*j + 8 + 11 for j. -2 Solve 3417*b = 3393*b - 288 for b. -12 Solve 13*g + 3145 - 3301 = 0 for g. 12 Solve 400 = -158330*l + 158130*l for l. -2 Solve 60*q = -24*q - 513 - 243 for q. -9 Solve 90*c - 35 = -91 + 1496 for c. 16 Solve 272 = 6*u - 40*u for u. -8 Solve 0 = 463*d - 500*d + 555 for d. 15 Solve 2543*b = 2555*b - 432 for b. 36 Solve -183*i + 245*i - 189 = -1057 for i. -14 Solve 0 = 29*g - 18*g - 0 + 55 for g. -5 Solve -52*d = -42*d + 5*d - 120 for d. 8 Solve -293*a + 241*a + 326 = -246 for a. 11 Solve -218*o + 137 = -81 for o. 1 Solve -6660 = -306*a + 1908 for a. 28 Solve -747*y + 610*y = 1233 for y. -9 Solve -9*r - 21*r - 169 = -17*r for r. -13 Solve -53*h + 100*h - 400 = -53*h for h. 4 Solve -3*x - 75 + 24 = 0 for x. -17 Solve 44*k - 420 = 7*k + 9*k for k. 15 Solve -4068 + 1698 = 474*v for v. -5 Solve 35*b + b + 14*b + 450 = 0 for b. -9 Solve 7*z - 10*z - 18*z = -336 for z. 16 Solve 1077*b + 144 = 1089*b for b. 12 Solve 31*b = -54*b - 54*b + 1529 for b. 11 Solve 1280 = 42*h + 440 for h. 20 Solve 15*b - 360 + 420 = 0 for b. -4 Solve -8*o + 29*o + 126 = 0 for o. -6 Solve 0 = -25*c - 27*c + 697 - 177 for c. 10 Solve 2828 = -551*k - 2267 - 415 for k. -10 Solve 0 = -735*u + 701*u + 204 for u. 6 Solve 224*l + 2271 + 1029 = -1852 for l. -23 Solve -34*i + 7*i - 603 + 846 = 0 for i. 9 Solve -384 = 72*m + 408 for m. -11 Solve 10*b = 19*b + 49*b for b. 0 Solve 76*r - 136 = -25*r + 1278 for r. 14 Solve -1337*q = -1360*q - 299 for q. -13 Solve 1634 = 211*b - 265 for b. 9 Solve 2006*i - 5482 = 2542 for i. 4 Solve -20*a + 4521 - 4521 = 0 for a. 0 Solve -497 = 67*w + 254 - 81 for w. -10 Solve -6078 = -39*p - 5961 for p. 3 Solve 210*k - 48*k = -648 for k. -4 Solve 133 = -7*f - 66*f + 1082 for f. 13 Solve -102*y = 58*y + 2 - 2 for y. 0 Solve 1571*z + 943 + 77 = -551 for z. -1 Solve -354 = 2703*i - 2821*i for i. 3 Solve 29*n + 36 = -53 - 27 for n. -4 Solve -240*h + 253*h + 91 = 0 for h. -7 Solve 0 = -110*a + 335*a + 2700 for a. -12 Solve -52*h + 17058 = 16850 for h. 4 Solve 174*w - 1607 = -1781 for w. -1 Solve -517*b - 341*b = 14586 for b. -17 Solve -932*q + 748*q = -6072 for q. 33 Solve -38 = -12*b + 33 - 23 for b. 4 Solve -28*d + 338 = 279 + 339 for d. -10 Solve -15*v + 123 = 57 - 114 for v. 12 Solve -92211*x + 378 = -92232*x for x. -18 Solve 19*y + 3538 - 7190 = -3025 for y. 33 Solve -77*a - 90 = 95*a + 82 for a. -1 Solve 5191 = -225*s - 42*s + 1987 for s. -12 Solve 2675 = -136*s + 499 for s. -16 Solve -1243*c - 11 - 59 = -1257*c for c. 5 Solve -7*r - 652 = -582 for r. -10 Solve 0 = 96762*l - 96773*l + 110 for l. 10 Solve -623354*a - 969 = -623405*a for a. 19 Solve -384*l = -1258*l - 8740 for l. -10 Solve -240 = 93*h - 101*h - 52*h for h. 4 Solve 377*j + 35 = -370*j + 782*j for j. 1 Solve -203*j - 5512 = 245*j - 24*j for j. -13 Solve -240*k + 52*k + 1128 = 0 for k. 6 Solve -70217*d = -70180*d - 222 for d. 6 Solve -31 = -a - 5*a + 47 for a. 13 Solve -198*c + 671 = -39 - 676 for c. 7 Solve 1670 = 240*m + 2083 + 2707 for m. -13 Solve 10319 = 1482*d + 57743 for d. -32 Solve -246*o = -174*o - 1368 for o. 19 Solve 5364 = -128*p - 170*p for p. -18 Solve 0 = -70*o - 62*o - 132 for o. -1 Solve 35*d - 7057 + 7582 = 0 for d. -15 Solve -179*n = -189*n for n. 0 Solve -14387*f + 644 = -14364*f for f. 28 Solve -115404*j = -115403*j + 7 for j. -7 Solve -192*h = 1855*h - 47081 for h. 23 Solve -40*a + 896 = 88*a for a. 7 Solve -441 - 1302 = -1198*v + 1281*v for v. -21 Solve 6*y = -2*y + 5*y - 33 for y. -11 Solve -88*q = 1124 + 603 + 297 for q. -23 Solve 18*t - 66 = 6 for t. 4 Solve 0 = 1372*j - 1523*j + 906 for j. 6 Solve 325*s + 2747 + 2128 = 0 for s. -15 Solve -1182 - 453 = -109*h for h. 15 Solve 44*l - 1548 = -448*l - 24*l for l. 3 Solve 4*f - 5*f = 3*f - 44 for f. 11 Solve 0 = -968*r + 999*r - 310 for r. 10 Solve 525*k = -2532 + 432 for k. -4 Solve -25*g = -245 - 305 for g. 22 Solve -5*v + 22*v + 91 = 10*v for v. -13 Solve 0 = 41*l - 23*l + 162 for l. -9 Solve 0 = -82*w + 54*w + 145*w - 4212 for w. 36 Solve -7*a - 36 - 21 = -15 for a. -6 Solve 265 + 575 = 210*w for w. 4 Solve b + 44*b - 4*b + 451 = 0 for b. -11 Solve 799*r = -5
{ "pile_set_name": "DM Mathematics" }
7337314 to the power of 1/2, to the nearest integer? 2709 What is 944625 to the power of 1/9, to the nearest integer? 5 What is the cube root of 1814073 to the nearest integer? 122 What is 12699825 to the power of 1/3, to the nearest integer? 233 What is the fourth root of 1841152 to the nearest integer? 37 What is the ninth root of 4533814 to the nearest integer? 5 What is 13044437 to the power of 1/4, to the nearest integer? 60 What is the seventh root of 551342 to the nearest integer? 7 What is the third root of 19814130 to the nearest integer? 271 What is 2458011 to the power of 1/5, to the nearest integer? 19 What is 4396170 to the power of 1/5, to the nearest integer? 21 What is the tenth root of 533618 to the nearest integer? 4 What is 1319545 to the power of 1/9, to the nearest integer? 5 What is the square root of 2308332 to the nearest integer? 1519 What is the cube root of 9726290 to the nearest integer? 213 What is the tenth root of 251462 to the nearest integer? 3 What is the square root of 636052 to the nearest integer? 798 What is 121470 to the power of 1/3, to the nearest integer? 50 What is the third root of 439240 to the nearest integer? 76 What is 6339723 to the power of 1/2, to the nearest integer? 2518 What is the eighth root of 18972 to the nearest integer? 3 What is 548231 to the power of 1/3, to the nearest integer? 82 What is 1170082 to the power of 1/2, to the nearest integer? 1082 What is the square root of 2686618 to the nearest integer? 1639 What is the cube root of 2316677 to the nearest integer? 132 What is 154441 to the power of 1/2, to the nearest integer? 393 What is the third root of 1795286 to the nearest integer? 122 What is 156678 to the power of 1/2, to the nearest integer? 396 What is 75046 to the power of 1/2, to the nearest integer? 274 What is the third root of 917221 to the nearest integer? 97 What is the square root of 2478457 to the nearest integer? 1574 What is the cube root of 267711 to the nearest integer? 64 What is 26463 to the power of 1/2, to the nearest integer? 163 What is 308642 to the power of 1/2, to the nearest integer? 556 What is the square root of 247159 to the nearest integer? 497 What is 144689 to the power of 1/2, to the nearest integer? 380 What is the tenth root of 492334 to the nearest integer? 4 What is the fifth root of 513511 to the nearest integer? 14 What is the third root of 2270249 to the nearest integer? 131 What is 658988 to the power of 1/7, to the nearest integer? 7 What is 106262 to the power of 1/2, to the nearest integer? 326 What is 9563831 to the power of 1/2, to the nearest integer? 3093 What is the fifth root of 734884 to the nearest integer? 15 What is the fifth root of 1533097 to the nearest integer? 17 What is the cube root of 346432 to the nearest integer? 70 What is the sixth root of 496955 to the nearest integer? 9 What is the fourth root of 79300 to the nearest integer? 17 What is 129259 to the power of 1/2, to the nearest integer? 360 What is 27368785 to the power of 1/3, to the nearest integer? 301 What is 53607 to the power of 1/5, to the nearest integer? 9 What is 1144433 to the power of 1/3, to the nearest integer? 105 What is the square root of 236175 to the nearest integer? 486 What is 4748164 to the power of 1/3, to the nearest integer? 168 What is 1021284 to the power of 1/3, to the nearest integer? 101 What is the sixth root of 4065712 to the nearest integer? 13 What is the cube root of 228591 to the nearest integer? 61 What is 429367 to the power of 1/2, to the nearest integer? 655 What is the fifth root of 123283 to the nearest integer? 10 What is the square root of 296974 to the nearest integer? 545 What is the sixth root of 3719118 to the nearest integer? 12 What is 5547189 to the power of 1/8, to the nearest integer? 7 What is the sixth root of 34693260 to the nearest integer? 18 What is 14729908 to the power of 1/10, to the nearest integer? 5 What is the third root of 136260 to the nearest integer? 51 What is the tenth root of 1192071 to the nearest integer? 4 What is 51362 to the power of 1/3, to the nearest integer? 37 What is the third root of 3561707 to the nearest integer? 153 What is 994134 to the power of 1/9, to the nearest integer? 5 What is 3814213 to the power of 1/2, to the nearest integer? 1953 What is the third root of 822246 to the nearest integer? 94 What is the tenth root of 8096295 to the nearest integer? 5 What is 23208 to the power of 1/2, to the nearest integer? 152 What is 586741 to the power of 1/2, to the nearest integer? 766 What is the square root of 2293565 to the nearest integer? 1514 What is the cube root of 246176 to the nearest integer? 63 What is the square root of 11160380 to the nearest integer? 3341 What is 69152 to the power of 1/3, to the nearest integer? 41 What is the tenth root of 106806 to the nearest integer? 3 What is 57750 to the power of 1/2, to the nearest integer? 240 What is 512426 to the power of 1/3, to the nearest integer? 80 What is 1590250 to the power of 1/3, to the nearest integer? 117 What is the cube root of 5661490 to the nearest integer? 178 What is the third root of 3902460 to the nearest integer? 157 What is the square root of 15159070 to the nearest integer? 3893 What is 21195726 to the power of 1/7, to the nearest integer? 11 What is 2517777 to the power of 1/4, to the nearest integer? 40 What is the eighth root of 3266310 to the nearest integer? 7 What is the tenth root of 220311 to the nearest integer? 3 What is the third root of 478645 to the nearest integer? 78 What is the cube root of 147820 to the nearest integer? 53 What is 546203 to the power of 1/5, to the nearest integer? 14 What is 13080933 to the power of 1/7, to the nearest integer? 10 What is the square root of 787799 to the nearest integer? 888 What is the sixth root of 242627 to the nearest integer? 8 What is the fourth root of 137667 to the nearest integer? 19 What is the square root of 367551 to the nearest integer? 606 What is the square root of 129056 to the nearest integer? 359 What is the fourth root of 8507063 to the nearest integer? 54 What is the fourth root of 69395 to the nearest integer? 16 What is the sixth root of 443800 to the nearest integer? 9 What is the cube root of 42762 to the nearest integer? 35 What is the square root of 581112 to the nearest integer? 762 What is 85023 to the power of 1/7, to the nearest integer? 5 What is 15267329 to the power of 1/2, to the nearest integer? 3907 What is the third root of 1012893 to the nearest integer? 100 What is the sixth root of 116937 to the nearest integer? 7 What is 192629 to the power of 1/3, to the nearest integer? 58 What is the square root of 411073 to the nearest integer? 641 What is the third root of 3294021 to the nearest integer? 149 What is the fourth root of 3288700 to the nearest integer? 43 What is 19202533 to the power of 1/3, to the nearest integer? 268 What is 4129289 to the power of 1/9, to the nearest integer? 5 What is the square root of 16770093 to the nearest integer? 4095 What is the seventh root of 1218799 to the nearest integer? 7 What is 285752 to the power of 1/3, to the nearest integer? 66 What is 121976 to the power of 1/4, to the nearest integer? 19 What is the third root of 24917033 to the nearest integer? 292 What is the tenth root of 220409 to the nearest integer? 3 What is 1368907 to the power of 1/3, to the nearest integer? 111 What is the third root of 3143284 to the nearest integer? 146 What is the square root of 199636 to the nearest integer? 447 What is 19198828 to the power of 1/6, to the nearest integer? 16 What is 3866440 to the power of 1/2, to the nearest integer? 1966 What is the square root of 327737 to the nearest integer? 572 What is 3495506 to the power of 1/2, to the nearest integer? 1870 What is 1931579 to the power of 1/6, to the nearest integer? 11 What is the square root of 311304 to the nearest integer? 558 What is 23416 to the power of 1/4, to the nearest integer? 12 What is 469704 to the power of 1/5, to the nearest integer? 14 What is 20608073 to the power of 1/2, to the nearest integer? 4540 What is 280757 to the power of 1/2, to the nearest integer? 530 What is 1060043 to the power o
{ "pile_set_name": "DM Mathematics" }
re there in 13.53602 decades? 0.1353602 Convert 992469.6 months to decades. 8270.58 Convert 312.1692g to kilograms. 0.3121692 How many minutes are there in thirteen eighths of a week? 16380 What is 5/8 of a second in milliseconds? 625 What is 37/2 of a micrometer in nanometers? 18500 Convert 872.8732 decades to months. 104744.784 What is 1/4 of a milligram in micrograms? 250 How many minutes are there in 1/6 of a day? 240 How many seconds are there in 67/3 of a minute? 1340 Convert 14499.873s to hours. 4.0277425 What is 6859.798ms in nanoseconds? 6859798000 How many milligrams are there in 7533.2g? 7533200 Convert 8.319198ug to nanograms. 8319.198 What is 975.364kg in tonnes? 0.975364 What is 55/3 of a century in months? 22000 How many decades are there in 2.9572269 months? 0.0246435575 What is 3/10 of a century in decades? 3 Convert 16.98037m to millimeters. 16980.37 What is 7700.607s in minutes? 128.34345 Convert 980611.4 nanometers to micrometers. 980.6114 Convert 849358.251 nanoseconds to weeks. 0.0000000014043621875 How many kilograms are there in 2602.152 micrograms? 0.000002602152 Convert 27699.31 minutes to milliseconds. 1661958600 What is 1778966.091 nanoseconds in weeks? 0.0000000029414121875 Convert 8285.557ml to litres. 8.285557 What is 507.4191nm in centimeters? 0.00005074191 How many nanometers are there in 8729.69mm? 8729690000 How many micrograms are there in 1/10 of a milligram? 100 What is 0.8675885 hours in seconds? 3123.3186 What is 22344.17 litres in millilitres? 22344170 What is 1/5 of a microgram in nanograms? 200 What is 5/6 of a minute in seconds? 50 What is eighteen fifths of a decade in months? 432 Convert 7.47996ml to litres. 0.00747996 What is 4425.045 centuries in years? 442504.5 What is twenty-five quarters of a millimeter in micrometers? 6250 How many millimeters are there in 0.3403208m? 340.3208 What is 5/8 of a kilogram in grams? 625 How many months are there in 806.441 millennia? 9677292 What is 12/25 of a kilogram in grams? 480 What is three fifths of a centimeter in micrometers? 6000 How many hours are there in 1/28 of a week? 6 How many kilograms are there in 895.2825ug? 0.0000008952825 Convert 5273.107km to meters. 5273107 Convert 0.5105742 centuries to months. 612.68904 What is 21/5 of a litre in millilitres? 4200 How many meters are there in seventy-one quarters of a kilometer? 17750 How many kilograms are there in 3/25 of a tonne? 120 What is 0.4844526 micrometers in kilometers? 0.0000000004844526 Convert 408076.3 milligrams to nanograms. 408076300000 Convert 716.0372um to meters. 0.0007160372 What is seventy-three fifths of a millennium in centuries? 146 How many grams are there in one tenth of a tonne? 100000 Convert 13749514.8 hours to weeks. 81842.35 What is 769.6514 millennia in centuries? 7696.514 What is 69682.5 micrograms in milligrams? 69.6825 How many nanograms are there in 11/2 of a microgram? 5500 What is 25/2 of a litre in millilitres? 12500 What is five eighths of a microgram in nanograms? 625 Convert 222.08061 months to decades. 1.85067175 What is eleven eighths of a micrometer in nanometers? 1375 How many decades are there in 34/5 of a millennium? 680 How many minutes are there in twenty-one eighths of a day? 3780 What is thirty-seven halves of a litre in millilitres? 18500 How many meters are there in seven halves of a kilometer? 3500 How many millilitres are there in 1/5 of a litre? 200 What is 1/80 of a kilometer in millimeters? 12500 What is 45/4 of a milligram in micrograms? 11250 How many centuries are there in 0.0281733 years? 0.000281733 Convert 155358.3 centuries to years. 15535830 What is 91.19515ml in litres? 0.09119515 How many years are there in three fifths of a decade? 6 What is seven halves of a meter in centimeters? 350 How many centuries are there in nine tenths of a millennium? 9 How many minutes are there in three sixteenths of a day? 270 Convert 469.3294 millilitres to litres. 0.4693294 What is 54.64748 meters in micrometers? 54647480 How many micrograms are there in 11/8 of a milligram? 1375 Convert 170468.4ug to nanograms. 170468400 What is thirty-four fifths of a litre in millilitres? 6800 How many nanometers are there in 9237.472m? 9237472000000 Convert 220.5435 millilitres to litres. 0.2205435 How many months are there in 11/4 of a year? 33 Convert 9064.835 grams to tonnes. 0.009064835 What is five eighths of a day in hours? 15 What is 9281.005 millilitres in litres? 9.281005 What is 803.6978mm in nanometers? 803697800 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 18/5 of a decade in months? 432 Convert 482.599 millimeters to centimeters. 48.2599 How many millilitres are there in three fifths of a litre? 600 What is five eighths of a minute in milliseconds? 37500 How many millilitres are there in 443.2357l? 443235.7 What is 1/5 of a century in years? 20 What is 568.6051 litres in millilitres? 568605.1 What is 6/5 of a decade in months? 144 What is twenty-one fifths of a millennium in years? 4200 How many milliseconds are there in twenty-one fifths of a second? 4200 What is 4.67065 years in months? 56.0478 How many hours are there in 17/2 of a week? 1428 What is 1999.05 years in centuries? 19.9905 How many hours are there in 75/4 of a day? 450 How many minutes are there in 816.0921 seconds? 13.601535 How many nanoseconds are there in 368.64 milliseconds? 368640000 How many months are there in 975.8495 years? 11710.194 Convert 633083.5km to nanometers. 633083500000000000 How many millilitres are there in 44/5 of a litre? 8800 How many meters are there in seventeen halves of a kilometer? 8500 What is two ninths of a hour in seconds? 800 Convert 859371.9l to millilitres. 859371900 How many millilitres are there in thirteen quarters of a litre? 3250 How many nanoseconds are there in 539.6869 minutes? 32381214000000 What is seventeen halves of a litre in millilitres? 8500 How many millilitres are there in fourty-one halves of a litre? 20500 What is 1/16 of a day in seconds? 5400 How many milligrams are there in 7/2 of a gram? 3500 How many millilitres are there in one quarter of a litre? 250 What is 16.20252 minutes in microseconds? 972151200 What is 6/5 of a decade in months? 144 What is 518985.6s in milliseconds? 518985600 How many millilitres are there in 914766.9l? 914766900 What is 29.6522 decades in years? 296.522 How many millilitres are there in 17/2 of a litre? 8500 How many micrograms are there in eleven halves of a milligram? 5500 What is 70.17025 litres in millilitres? 70170.25 How many millilitres are there in 8753.749 litres? 8753749 Convert 479238.8 centuries to decades. 4792388 What is 8.086285 years in months? 97.03542 What is 11/8 of a centimeter in micrometers? 13750 What is five quarters of a milligram in micrograms? 1250 How many nanoseconds are there in 980.1691s? 980169100000 Convert 187.5 centuries to years. 18750 What is 0.2434674 milligrams in tonnes? 0.0000000002434674 How many centuries are there in 0.8135366 millennia? 8.135366 What is one tenth of a meter in millimeters? 100 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 1463.8368 nanoseconds in minutes? 0.00000002439728 Convert 54.71398ms to nanoseconds. 54713980 Convert 5.22097g to nanograms. 5220970000 How many micrometers are there in 23216.93mm? 23216930 What is 971.336 nanometers in kilometers? 0.000000000971336 What is 84565.69 hours in nanoseconds? 304436484000000000 What is fourty-six fifths of a litre in millilitres? 9200 What is 0.6138605l in millilitres? 613.8605 What is 11.38435t in kilograms? 11384.35 What is 75.49644 years in millennia? 0.07549644 What is thirty-one fifths of a second in milliseconds? 6200 How many centuries are there in fifty-nine fifths of a millennium? 118 Convert 2838.735um to kilometers. 0.000002838735 How many centimeters are there in thirteen quarters of a meter? 325 What is 189.20301 months in decades? 1.57669175 What is 0.0549141ml in litres? 0.0000549141 How many decades are there in 988171.3 centuries? 9881713 What is 5733.616l in millilitres? 5733616 Convert 0.5695824 micrograms to kilograms. 0.0000000005695824 What is 140.3859681us in weeks? 0.00000000023211965625 What is 13/5
{ "pile_set_name": "DM Mathematics" }
120*r**3 - o - 2*r**2 - 44*r**3. -2*(r - 1)**2*(r + 3) Let d be -5 - -10 - (-12)/(-2 - 4). Factor -2/3 - 1/3*f**2 - 2/3*f**d + 5/3*f. -(f - 1)*(f + 2)*(2*f - 1)/3 Let x(g) be the third derivative of -3*g**2 + 1/120*g**6 + 0 - 3/8*g**4 + 1/2*g**3 + 1/20*g**5 + 0*g. Let k(s) be the first derivative of x(s). Solve k(h) = 0. -3, 1 Let m = 206 + -191. Suppose -m*k + 11*k + 8 = 0. Find w such that 12/5*w - 3/5*w**3 + 0*w**k + 0 = 0. -2, 0, 2 Let l = 30 - 27. Let v be (-2 - -1)/(7/(-35)). Solve 2/3*t**4 + 1/3*t**2 + 1/6*t**v + 5/6*t**l + 0 + 0*t = 0 for t. -2, -1, 0 Suppose n - 40 = -4*n. Suppose 1613 + 4723 = n*m. Solve 37*v**2 - 324*v**5 - 16*v + 138*v**2 + v**2 - 628*v**3 + m*v**4 = 0 for v. 0, 2/9, 1 Suppose 3*h + 8*h + 616 = 0. Let l be (-4)/10 + h/10 + 8. Determine m so that -15/4*m**l - 9/4 - 21/4*m - 3/4*m**3 = 0. -3, -1 Suppose 10 = 2*g + 3*g. Factor -15*i**g + i**2 + 2*i**2 + 8*i**2 + 4 + 2*i - 2*i**3. -2*(i - 1)*(i + 1)*(i + 2) Let l be (2/(-4) + -3)*-2. Factor -l - 4*m**2 - 8 + 15. -4*m**2 Let n be 0/1 + 4 + 0. Let x be n/(-18) + (-3)/27*-26. Factor -2/3 - 25/6*j**2 - 1/6*j**5 - 7/6*j**4 - x*j - 19/6*j**3. -(j + 1)**3*(j + 2)**2/6 Suppose 2*u = 3*h + 57, -5*u + 39 = h - 78. Let i be -3*(u/9)/(-4). Let a**2 + a - 2 - i*a**2 + 2 = 0. What is a? 0, 1 Suppose -5*p - 38 = 97. Let n = p - -32. Factor 21*r**3 + n*r**2 - r**3 + r - r + 25*r**4 + 10*r**5. 5*r**2*(r + 1)**2*(2*r + 1) Let u(k) be the third derivative of k**5/180 - 167*k**4/36 + 27889*k**3/18 - 2*k**2 + 457*k. Find z, given that u(z) = 0. 167 Let t = 48933/34 + -2889/2. Let m = -134/51 - t. Factor -5/3*c**4 + 4/3*c**2 - m*c + 2*c**3 + 0 + 1/3*c**5. c*(c - 2)**3*(c + 1)/3 Let r(m) be the first derivative of -m**8/6720 - m**7/1120 + m**6/1440 + m**5/160 + 8*m**3/3 - 12. Let d(i) be the third derivative of r(i). Factor d(j). -j*(j - 1)*(j + 1)*(j + 3)/4 Factor -12*k - 45/4*k**2 + 0. -3*k*(15*k + 16)/4 Suppose 12*t - 6*t - 6 = 0. Let 84*v**3 + t + 8*v**5 - 58*v**4 + 5 + 12*v**4 + 4*v - 68*v**2 + 12*v**2 = 0. What is v? -1/4, 1, 3 Let r = 54817/41115 - -1/13705. Determine q, given that -r*q**4 + 0*q**2 - 4*q**3 + 0 + 16/3*q = 0. -2, 0, 1 Let s(h) be the first derivative of 11/16*h**4 + 0*h + 1/6*h**3 - 4 + 0*h**2 + 1/2*h**6 + h**5. Determine k so that s(k) = 0. -2/3, -1/2, 0 Let b be (-36)/28 + 2/7. Let w = b + 3. Find m such that 3 - 9*m - 9*m**4 + w*m**5 + m**5 + 9*m**2 + 6*m**3 - 3*m**2 = 0. -1, 1 Let b be 1*(1 - -2) + (-4 - 216). Let w = -215 - b. Factor 4/13*c**w + 10/13*c**3 + 0*c - 14/13*c**4 + 0. -2*c**2*(c - 1)*(7*c + 2)/13 Let v(g) = 3*g**2 + 39*g + 38. Let d be v(-12). Let w(l) be the first derivative of 0*l - l**3 + 0*l**d - 2 - 3/8*l**4. Factor w(p). -3*p**2*(p + 2)/2 Let d(u) be the first derivative of -35*u**4/4 - 20*u**3 - 15*u**2/2 + 10*u + 9. Let d(r) = 0. What is r? -1, 2/7 Let n(h) be the second derivative of 0*h**2 + 2/3*h**3 + 0 - 1/3*h**4 + h. Find p such that n(p) = 0. 0, 1 Let z(v) be the third derivative of 0 - 2/15*v**3 + 0*v - 1/20*v**5 - 1/1050*v**7 - 5*v**2 - 13/120*v**4 - 7/600*v**6. Find i such that z(i) = 0. -4, -1 Let w(r) be the first derivative of r**6/33 - r**4/2 - 12*r**3/11 - 8*r**2/11 - 464. Determine t so that w(t) = 0. -2, -1, 0, 4 Let d(b) be the second derivative of 0 + 0*b**2 + 2/5*b**5 + 0*b**3 - 1/3*b**4 + 19*b. What is f in d(f) = 0? 0, 1/2 Let h = -6261/4 + 1567. Let x(w) be the first derivative of 2/3*w**3 - w + 7/12*w**6 + 7/4*w**2 - h*w**4 - 1/5*w**5 - 1. What is p in x(p) = 0? -1, 2/7, 1 Determine u, given that 3/2*u**3 + 3*u**2 - 45/2*u - 54 = 0. -3, 4 Let y = -26/129 + 66/43. Factor 7*d**3 - 8*d - y - 29/3*d**2. (d - 2)*(3*d + 1)*(7*d + 2)/3 What is z in -8*z + 2/5*z**2 - 42/5 = 0? -1, 21 Let o(c) = c**4 - c - 2. Let j(r) = -6*r**4 + 205*r**3 + 425*r**2 + 216*r + 2. Let z(b) = j(b) + o(b). Find w, given that z(w) = 0. -1, 0, 43 Let j(y) be the second derivative of -y**4/3 - 4*y**3 + 32*y**2 + 29*y. Factor j(k). -4*(k - 2)*(k + 8) Let s(v) be the first derivative of 0*v**4 - 3 + 0*v**2 + 0*v**3 + 0*v - 3/10*v**5 + 1/4*v**6. Solve s(z) = 0 for z. 0, 1 Factor 2/9*z**2 - 20/9 - 2/3*z. 2*(z - 5)*(z + 2)/9 Let v(s) be the second derivative of -s**7/4200 - s**6/1800 - s**3 + 5*s. Let f(z) be the second derivative of v(z). Let f(n) = 0. What is n? -1, 0 Let m be 14/21 + (-4)/24 + 1. Determine t, given that 0 + 0*t + 6*t**2 - m*t**3 = 0. 0, 4 Let s(d) be the second derivative of -5*d**7/42 + 5*d**6/6 - 5*d**5/4 - 25*d**4/12 + 5*d**3 - 91*d. Determine f so that s(f) = 0. -1, 0, 1, 2, 3 Let q = -297 - -300. Let x(p) = -p + 3*p - p**2 + 1 - p + p**3. Let o(u) = -8*u**3 + 11*u**2 - 10*u - 7. Let v(b) = q*o(b) + 21*x(b). Factor v(y). -3*y*(y - 3)*(y - 1) Find b, given that b**2 - 2*b + 0 - 1/4*b**4 + 1/2*b**3 = 0. -2, 0, 2 Let y(p) be the first derivative of 16 + 1/66*p**6 + 1/22*p**2 + 4/33*p**3 + 0*p + 3/22*p**4 + 4/55*p**5. Factor y(o). o*(o + 1)**4/11 Suppose -3/2*g**2 + 18 - 6*g = 0. What is g? -6, 2 Let k(u) be the third derivative of -u**7/42 + u**6/3 - u**5/2 - 5*u**4/3 + 35*u**3/6 + 3*u**2 + 21. Factor k(w). -5*(w - 7)*(w - 1)**2*(w + 1) Let r = 14235 - 42205/3. What is j in 50*j**2 + 625/3 + 1/3*j**4 + r*j + 20/3*j**3 = 0? -5 Let w = -34104 - -34106. Factor -2/9*c**3 + 2/9*c + 2/9 - 2/9*c**w. -2*(c - 1)*(c + 1)**2/9 Let s(b) be the first derivative of 2/21*b**3 - 1/7*b**2 - 5 + 0*b. Suppose s(v) = 0. Calculate v. 0, 1 Suppose -2*o = 2*i + 114, -3*o - 2 = -4*o. Let w = 89 + i. Factor 1 - 20*j - 10*j**2 - 9*j**4 - 5 - w*j**3 - 27*j**2. -(j + 1)**2*(3*j + 2)**2 Factor 6/5*b**2 - 3/5*b - 3/5*b**3 + 0. -3*b*(b - 1)**2/5 Let s be ((-7)/((-252)/135))/((-10)/(-4)). Factor g + s - 1/2*g**2. -(g - 3)*(g + 1)/2 Let c(f) be the first derivative of 2*f**3/33 + 7*f**2/11 - 16*f/11 - 80. Factor c(u). 2*(u - 1)*(u + 8)/11 Factor -115*b**3 - b**2 + 231*b**3 - 2*b**4 + 0*b + 9*b**2 - 106*b**3 + 96 - 88*b. -2*(b - 4)*(b - 2)**2*(b + 3) Let v = 31355 - 31352. Let 7/5 - 22/5*g + 24/5*g**2 - 2*g**v + 1/5*g**4 = 0. Calculate g. 1, 7 Let o = 2069/590 + -2/295. Let x be 3*(2 + 8/(-6)). Factor -11/2*y**x + 0 - o*y**4 + 8*y**3 + y. -y*(y - 1)**2*(7*y - 2)/2 Suppose -b = 5*x - 7, 2*x - 10 = 2*b - 0*b. Let r(v) be the second derivative of 0*v**4 - 1/2*v**3 + v + 1/20*v**5 + 0 - v**x. Factor r(u). (u - 2)*(u + 1)**2 Let s(q) be the third derivative of -1/9*q**5 + 8/315*q**7 - 5*q**2 - 1/36*q**4 + 2/9*q**3 + 0*q + 0 - 1/45*q**6 + 5/504*q**8. Solve s(b) = 0 for b. -1, 2/5, 1 Let l(x) = -2*x - 5. Let u be l(-4). Let h = 2492/15 - 496/3. Determine t, given that 2/5 - 2/5*t**4 + 0*t**2 + 4/5*t**u - h*t = 0. -1, 1 Let w(t) be the first derivative of 2*t**3/21 - 13*t**2/7 - 4*t + 13. Solve w(k) = 0. -1, 14 Let c be (28/15 + (-30)/(-225))*3. Let q(z) be the first derivative of -c + 12*z**2 - 4/3*z**3 - 36*z. Suppose q(d) = 0. Calculate d. 3 Suppose -33 = -8*c - 3*c. Let g(x) be the second derivative of 0 + 0*x**2 + 5/54*x**4 - 2/27*x**c - 4*x. Suppose g(v) = 0. What is v? 0, 2/5 Let c(x) be the third derivative of -3/140*x**5 + 0 - 1/14*x**4 + 1/280*x**6 + 0*x**3 + 0*x + 14*x**2. Suppose c(l) = 0. What is l? -1, 0, 4 Let n = -230 - -118. Let b = 112 + n. Factor -1/3*k**5 + b + 0*k**3 + 0*k + 0*k**2 + 1/3*k**4. -k**4*(k - 1)/3 Let b = -102 + 105. Let -56*u**b + 27*u - 23*u - 12*u**5 + 44*u**4 + 24*u**2 + 2 - 6 = 0. Calculate u. -1/3, 1 Let z be -4 - 0/(-2) - -7 - -115. Let t = 120 - z. Suppose 0 - 2/3*f**2 + t*f = 0. What is f? 0, 3 Let j(r) = 13*r**4 + 11*r**3 - 2*r**2 - 5. Let g(o) = 54*o**4 + 45*o**3 - 9*o**2 - 21. Let u(q) = 5*g(q) - 21*j(q). Determine m, given that u(m) = 0. -1, 0 Factor 3*o**2 - 14*o**3 + 6*o**2 + 6*o**3 - 2*o - 3 + 4*o**2. -(o - 1)**2*(8*o + 3) Factor -90*y**4 - 3*y**2 + 5*y**3 - y**5 - 4*y - 67*y**4 + 160*y**4. -y*(y - 4)*(y - 1)*(y + 1)**2 Let q(x) be the second derivative of x**6/6 + 11*x**5/4 + 45*x**4/4 + 125*x**3/6 + 20*x**2 - 145*x. Find m such that q(m) = 0. -8, -1 Let b(u) be the second derivative of u**5/10 + u**4/2 - 4*u**2 - 86*u. Factor b(c). 2*(c - 1)*(c + 2)**2 Suppose -h = -0*c - 5*c, -c + 5*h = 0. Suppose -8140*v + 8152*v + c*v**2 - 3*v**2 + 15 = 0. What is v? -1, 5 Let r(q) be the first derivative of q**6/135 + 2*q**5/45 + q**4/9 + 4*q**3/27 + q**2/9 + 14*q - 9. Let g(t) be the first derivative of r(t). Factor g(p). 2*(p + 1)**4/9
{ "pile_set_name": "DM Mathematics" }
i**2 - i**2. -71*i**2 Expand (-314*d - 163*d**4 + 314*d)*(-6*d - 2*d - 6*d). 2282*d**5 Expand (-4*x**2 + 3*x**2 + 2*x**2)*(-1605*x + 23 + 25 + 1584*x). -21*x**3 + 48*x**2 Expand (3011397 + 1320*y - 3011397)*(y + 0 + 0). 1320*y**2 Expand (3*c - 4*c + 3*c)*(1 - c - 1) + 4*c**2 + 0*c**2 - 5*c**2 - c + c + c**2 - c**2 + 4*c**2 + 0*c**2 - 376*c**2 - 49*c + 94*c - 49*c. -375*c**2 - 4*c Expand ((-2 - 3 + 3)*(-5 + 2 + 1) - 4 - 11 + 22 - 22 + 4 + 6)*(11*n - 9*n + 11*n). -13*n Expand (0*x - 2*x + 0*x)*(9807*x**3 + 4608*x**3 + 2888*x**3 - 750*x**3). -33106*x**4 Expand (-593*x + 304*x + 306*x)*(0*x - 2*x**2 + 0*x). -34*x**3 Expand (-3*t - 2*t - 7*t)*(-2 + 1 + 2)*(113*t**3 - 62*t**3 + 96*t**3). -1764*t**4 Expand -56*y - 137*y + 202*y - 2 + 181*y**2 + (2*y + 1 - 1)*(-3*y + y + y). 179*y**2 + 9*y - 2 Expand (-2*o**4 + 0*o**3 + 0*o**3)*(-2 + o + 2 + (-1 + 1 + 2*o)*(2 - 3 + 3) - 2*o + 0*o + 4*o - 5*o + 3*o - 4*o)*((-2 + 2 + 4)*(-1 + 2 - 3) + 0 - 1 - 1). 20*o**5 Expand -10*f**5 - 27 + 27 + (-2*f**4 + 5*f - 5*f)*(2 - f - 2) + 2*f**5 - 1402*f - 3*f**2 - 8 + 1402*f. -6*f**5 - 3*f**2 - 8 Expand (-h - 3 + 3)*(0 + 0 - 3)*(142*h**4 + 129*h**4 + 36*h**4). 921*h**5 Expand (3*t - 2*t + t)*(2*t - 4*t + 3*t) + (-208 + 34*t**2 + 208)*(-2 + 2 - 4 + (-1 + 2 - 3)*(-5 + 4 + 3) - 1 - 1 + 0). -338*t**2 Expand -6*a - 36*a - 43*a + (-a + 2*a + 0*a)*(3 - 6 + 0) + (1 - 4 + 4)*(-3*a - 3*a + 2*a). -92*a Expand (-18 + 8 + 3)*(87 - 87 - 7*h - h + 0*h - h + h - 3*h + 0*h + 2*h + h - 4*h + (-3 + 3 + 1)*(4 - 4 - 2*h) + 1 + h - 1)*(-3 + 0 + 1). -182*h Expand (-4174*p - 5889*p + 15833*p)*(-p + p - p**2). -5770*p**3 Expand (-43*y**2 + 14*y - 14*y)*(-1178 + 622 + 604). -2064*y**2 Expand (-673 + 673 + 17*g)*(-8*g**4 - g**4 - 34*g**4) + (-g**5 + g**5 + g**5)*(1 - 1 + 1) - 11*g**2 - 2*g**5 + 11*g**2. -732*g**5 Expand (-3 + 0 - 2)*(-q - q + 4*q) + 0*q + 4*q - 2*q + 347 + 2*q - 695 + 298. -6*q - 50 Expand (2 + i + 100*i**2 - 208*i**2 + 107*i**2)*(0*i + i - 2*i). i**3 - i**2 - 2*i Expand (24 - 24 + 21*b + 2*b**4)*(2 + 4 - 4 + (3 + 3 - 4)*(-1 + 6 - 4) - 2 + 1 - 2) - 27*b**4 - 52*b**4 + 26*b**4. -51*b**4 + 21*b Expand r**4 - r**5 - r**4 + (9*r**2 - 9*r**2 + 4*r**3)*(r + 934*r**2 - r - 339*r**2). 2379*r**5 Expand (-1 - 3 + 5)*(-21*c - 20 + 20)*(-5*c**2 - 2*c**2 - 13*c**2). 420*c**3 Expand -389*u + 3263*u + 2445*u - 1336*u + 1196*u + 2605*u + (4 + 2 - 4)*(5*u - 5*u + u). 7786*u Expand (-1 - 1 + 10)*(7 + 1 - 2)*(-17*w + 23*w - 69*w). -3024*w Expand -13*o**2 - 12*o**2 - 192*o + 34*o + 2*o**4 + 156*o + (-5*o**2 + 2*o**2 + 2*o**2)*(4 - 4 - o**2). 3*o**4 - 25*o**2 - 2*o Expand g + 0*g + 0*g + (-g - 2*g + 2*g)*(-6 + 4 + 1) + 2*g + 1 - 1 + (-1 + 1 + 2)*(-5*g - 5 + 5) + (-2*g - g + 2*g)*(-12 - 12 + 5). 13*g Expand s - s + 3*s**4 + (-2*s**2 + 2*s**2 - 3*s**2)*(-5*s**2 + 3*s**2 + 4*s**2) + (0 - 5 + 4)*(-3*s**3 - s**4 + 3*s**3) + 5 + 8*s**4 - 5 - 3*s**4 + s**3 - s**3. 3*s**4 Expand (1 - 2 - 1)*(-992 - 200*a + 992)*(3 - 3 + 6*a). 2400*a**2 Expand (-282 - 1885 + 750)*(0 - 3 + 1)*(-g + 0*g + 3*g). 5668*g Expand (43 - 43 + 85*s**3)*(0*s - 3*s + 2*s) - 60*s**4 - 87*s**4 + 22*s**4. -210*s**4 Expand -3*p**4 - 2 + 2 + (5*p - 5*p + 8*p**2)*(p**2 + 0*p + 0*p) + (3*p - 5*p + 5*p)*(6*p**3 - 143*p**2 + 143*p**2). 23*p**4 Expand -n**4 - 4*n**2 + 4*n**2 - n**2 - n**4 + n**2 + (-2*n**3 + 35*n**3 - 6*n**3)*(-59 + 59 + 8*n). 214*n**4 Expand -23*n**2 + 123*n**2 - 59*n**2 + (3 + 2*n - 3)*(-20*n + 9*n + 3*n). 25*n**2 Expand (4 - 1 - 2)*((-2 + 0 + 0)*(-5 + 3 + 3) + 3 - 5 + 3)*(2 - 3 + 2)*(b - 2*b + 2*b)*(-37*b**2 + 5*b**2 - 21*b**2). 53*b**3 Expand (b**3 + 2*b**3 + 0*b**3)*(0*b + 0*b + 5*b) + 78 - 5*b**2 - 39 + b**4 - 2*b**3 - 42 + (-2*b + b**3 + 2*b)*(0*b + 4*b - 3*b). 17*b**4 - 2*b**3 - 5*b**2 - 3 Expand 47*z**5 + 16*z**4 - 40*z**4 - 49*z**5 + (0 + 2 - 1)*(105*z**5 + 296*z**2 - 296*z**2). 103*z**5 - 24*z**4 Expand (-6*s**2 - 3*s**2 + 4*s**2)*(-3*s - 3*s - s)*(27 - 61 + 19)*(-s**2 + 2*s**2 - 3*s**2). 1050*s**5 Expand (0*n**2 - n**2 + 3*n**2 + (4*n**2 - 4*n**2 + n**2)*(-1 + 2 - 2))*(-15869*n + 8821*n - 2161*n). -9209*n**3 Expand (-3*g**2 - 2*g**2 + 6*g**2)*(g**2 - g**2 + 2*g**2) + 2*g**4 - 4*g**4 + g**4 + (-1 + 3*g**3 + 1)*(-11 + 3*g + 11). 10*g**4 Expand (3 + 0 - 2)*(-2 + 2 + 1)*(-29*b + 47*b + 30*b)*(-2 + 3 + 0 + (0 - 3 + 5)*(-5 + 5 - 2) - 1 + 3 - 4)*(-3*b - 5*b - 2*b). 2400*b**2 Expand 0*q + 3*q - 4*q + (-3 + 7 - 3)*(-4*q + 2*q + 0*q) + (176 - 176 + 8*q)*(-4 + 1 + 5). 13*q Expand (-3*z + 2*z + 3*z - 2*z + 5*z - 2*z - 5 - z + 5 + (-2 + 4 - 3)*(-z + 0*z + 3*z) - 3*z + 3*z - 2*z - 59 + 59 + 7*z)*(z**2 + 3*z**2 - 2*z**2). 10*z**3 Expand 620*s**2 - 620*s**2 + 85*s**5 + (0*s - 4*s + 3*s)*(45*s**3 + 6*s**4 - 45*s**3) - 2*s**5 + s - s. 77*s**5 Expand (4*r - 2*r - r + r + 4*r - 4*r + (2 - 2 + r)*(-2 + 1 - 1) + 3 - 3 + 2*r - 2*r - r + 0*r)*(3 + 0 - 7)*(759 + 2*r - 759). 8*r**2 Expand ((104*i - 92*i + 242*i)*(2 - 5 + 2) - 2*i - i - i)*(-5*i + 9*i + 2*i). -1548*i**2 Expand 51 - 114 + 54 - 11*a**4 + (6*a - 4*a + 0*a)*(-4*a**3 + 3*a**3 + 2*a**3) - a**4 + 0*a**2 + 0*a**2 - 5*a**4 + 0*a**4 + 3*a**4. -12*a**4 - 9 Expand (5*w + w + 4*w + (-5 + 4 + 3)*(-2*w + w + 2*w) + 5*w - 3*w - w)*(-2 + 2 + 5 + 3 - 6 + 1 + (2 - 1 + 0)*(-3 + 0 + 1)). 13*w Expand (z**3 + z**3 + 0*z**3)*(1 + z - 1) - 58*z**4 + 49*z**4 - 3 - 3 - 3*z**2 + 3*z**2 + 3*z**4 - 7 + 7 - 5*z**4 + (-2*z + 0*z + z)*(-5*z**2 + 5*z**2 - z**3). -8*z**4 - 6 Expand (3 + 1 - 2)*(-y + 2 - 2) + (10 - 1 + 5)*(-6*y + 3*y + 9*y) + (5 - 4 - 5)*(-2*y + 3 - 3). 90*y Expand -917*d**2 - 287*d**5 + 917*d**2 + (4 - 2 + 0)*(3*d**5 + 0*d**5 + d**5). -279*d**5 Expand -15*b**2 + 51*b**5 - 141*b + 141*b - 8*b**2 + (0 - 1 + 4)*(-3*b**3 + 3*b**3 + b**5). 54*b**5 - 23*b**2 Expand -3*i**5 - 11*i**5 + 5*i - 20*i**5 - 6*i**5 + 5*i**5 + 0*i**5 + (4*i - i - 6*i)*(-1 + 6 - 3)*(5*i - 5*i - 2*i)*(7*i**3 + i**3 - 7*i**3). -23*i**5 + 5*i Expand -3*w**4 - 8*w**4 + 0*w**4 - 3*w + 3*w + 2*w**4 + (-w + 2 - 2)*(0*w**3 + w**3 + 2*w**3) - 3*w**4 - 84*w**2 + 84*w**2. -15*w**4 Expand (3*u - 5*u + 3*u)*(-2 + 2 - 2*u**4) + 235791 + 1264*u**5 - 235791. 1262*u**5 Expand 0*o**3 - 3*o**3 - 2*o**3 + (-o**2 - o**2 + o**2)*(-14*o + 0*o - 5*o). 14*o**3 Expand -3404*i**2 + 522*i**4 + 6795*i**2 + 8*i - 3392*i**2 + 2*i**3 + (1 + 2*i - 1)*(-7*i**3 + 3*i**3 + 3*i**3). 520*i**4 + 2*i**3 - i**2 + 8*i Expand (9*c - 15*c + 8*c)*(-33 + 52*c + 13*c + 33) - 2*c**2 - 4*c**2 + 4*c**2. 128*c**2 Expand (-60*i + 93 - 93)*(-1 - 2 + 1) + (2 + 0 + 0)*(0*i - 3*i + 5*i) + 61*i - 177*i - 158*i. -150*i Expand (-1 + 1 + 7)*(r - 876 + 1807 - 806). 7*r + 875 Expand (-4 - 3 + 9)*(40*y - 40*y + 19*y**2)*(0*y + 3*y - 2*y). 38*y**3 Expand (-3 + 3 + 2)*(-795 + 4*a + 530 - a). 6*a - 530 Expand (-2*s + 2*s - s)*(-721*s**2 + 1456*s**2 - 701*s**2 + 21*s**3). -21*s**4 - 34*s**3 Expand 5*k**2 - 5*k**2 - k**5 + 24 + (2*k**2 - k**5 - 2*k**2)*(-3 + 13 + 2). -13*k**5 + 24 Expand (39*h - 77*h + 14*h + (3 + 0 - 2)*(0*h - 3*h + h))*(-5 + 2 + 4)*(4 + 0 - 5). 26*h Expand ((-6 + 7 - 4)*(-4 + 2 - 2) + 24 - 46 - 1)*(8*j**4 + j**4 - 4*j**5 + 3*j**5). 11*j**5 - 99*j**4 Expand (52 + 46 + 45)*(77 - 77 - 85*m) - 2*m + 0 + 0. -12157*m Expand (2 - 2 + w**3 + 0*w**2 + 0*w**2 - 2*w**3 + (-w**2 + 3*w**2 - 4*w**2)*(-w + 3*w - 4*w))*(5*w - 4*w + 0*w + (-1 + 2 + 0)*(-350*w + 173*w - 107*w)). -849*w**4 Expand (-3*o - 3*o + 5*o)*(-2 + 6 + 0) + 0*o + 0*o + o + 364 - 123 - 3003*o - 2089*o - 117 - 124. -5095*o Expand (-3*o + 0*o + o)*(2 - 5 + 1)*(1206 - 1567 + 2252 + 849). 10960*o Expand (2 + h + 2*h - 5*h)*(10244*h + 9 - 10239*h - 128) + 19 + 14*h**2 - 19. 4*h**2 + 248*h - 238 Expand (-80 - 8 - 4)*(4*b - 5*b - b)*(-137*b**2 - 124*b**2 + 282*b**2) + (-b + b + b**2)*(0*b + 3*b - 2*b). 3865*b**3 Expand -7*s**2 + 2*s**2 + s**2 + (-12*s + 12*s + s + 160*s**2)*(0 + 1 - 3). -324*s**2 - 2*s Expand (31*d**2 - 3*d**2 - 6*d**2)*(1 + 5*d - 2 - 3). 110*d**3 - 88*d**2 Expand (-26*b + 33*b - 47*b + (-193*b + 65*b - 163*b)*(2 + 3 - 4))*(-2*b**3 + 2*b**2 - 2*b**2). 662*b**4 Expand (2*g + 0*g + 0*g)*(-12 - 16 + 27)*(-3*g - 291 + 5*g - g). -2*g**2 + 582*g Expand 8*a**2 - 3 + 0*a**2 - 5*a**2 + (6*a - 3*a - 9*a)*(2*a + a - 4*a) - 4 + 4 + 2*a**2 + 3*a + 2*a**2 - 3*a + (-22*a + 2 - 2)*(0 + 0 + a). -9*a**2 - 3 Expand 348*r**4 + 39*r**4 + 251*r**4 + (5*r**3 - r**3 - r**3)*(-r + 4 - 4). 635*r**4 Expand (5*g - 4 + 4 + (-2*g + 4*g - 3*g)
{ "pile_set_name": "DM Mathematics" }
What is -550 divided by -10? 55 What is -8 divided by -3257? 8/3257 Calculate 0 divided by 84. 0 3 divided by 369 1/123 What is 8 divided by 16? 1/2 What is -8370 divided by -279? 30 What is 8 divided by -2? -4 -2052 divided by -4 513 What is -5 divided by -250? 1/50 What is -132 divided by 5? -132/5 Divide 5 by -876. -5/876 What is -1036 divided by -74? 14 What is 1890 divided by -6? -315 -32 divided by 1 -32 Calculate 7032 divided by 6. 1172 2 divided by 36 1/18 2 divided by 888 1/444 Calculate 80 divided by 4. 20 Divide -2 by -253. 2/253 Calculate -6 divided by 6. -1 What is -28 divided by 4? -7 Divide 680 by -170. -4 What is 0 divided by -5076? 0 182 divided by 13 14 Divide 197 by 14. 197/14 What is 129606 divided by 6? 21601 What is -16 divided by 16? -1 What is 380 divided by 76? 5 Divide -1 by -91. 1/91 Calculate -5332 divided by 2666. -2 What is -3 divided by 9? -1/3 Calculate -3948 divided by 4. -987 -3 divided by -125 3/125 1488 divided by -6 -248 Calculate 16098 divided by -8049. -2 Divide 96 by -6. -16 Divide 2 by 50. 1/25 131 divided by 39 131/39 -267 divided by -2 267/2 What is -2293 divided by -3? 2293/3 Divide 12 by 63. 4/21 -3948 divided by 7 -564 Calculate -15 divided by 22. -15/22 Calculate 8 divided by -2. -4 1462 divided by -1 -1462 Divide 208 by 4. 52 What is 14 divided by -1743? -2/249 -3795 divided by -759 5 488 divided by 8 61 Divide -1 by -2443. 1/2443 What is -1 divided by -52? 1/52 Divide 57 by -22. -57/22 416 divided by -104 -4 Divide -1020 by -4. 255 Calculate 3 divided by -3. -1 Calculate -24 divided by 7. -24/7 What is -108 divided by -36? 3 Divide 158 by 15. 158/15 Calculate 45 divided by -9. -5 Calculate -42 divided by 6. -7 Divide 84 by 4. 21 What is 32126 divided by 4? 16063/2 100 divided by -4 -25 What is -11466 divided by -441? 26 Divide 58 by 2. 29 Divide -5 by 5496. -5/5496 Divide -8 by -1. 8 Calculate 1 divided by -118. -1/118 Divide -2430 by -6. 405 What is -1315 divided by -1? 1315 -2 divided by -88 1/44 What is -6 divided by 8? -3/4 Calculate 8211 divided by 6. 2737/2 -32 divided by 8 -4 Divide 1 by 293. 1/293 Divide -13 by -850. 13/850 1068 divided by -2 -534 Divide 12888 by 4. 3222 Calculate -24057 divided by 9. -2673 -728 divided by 104 -7 -4 divided by -3296 1/824 Divide -2013 by 3. -671 What is 128 divided by 16? 8 What is -1 divided by -1461? 1/1461 What is 4470 divided by -3? -1490 What is -903 divided by -6? 301/2 Divide -1515 by 15. -101 Calculate -5824 divided by 26. -224 Divide 950 by -95. -10 What is -22 divided by -4? 11/2 Divide -71 by -3. 71/3 What is 1 divided by 417? 1/417 Divide 3 by 440. 3/440 57589 divided by 6 57589/6 Calculate 5 divided by 1766. 5/1766 What is -10 divided by -11? 10/11 What is 200 divided by -4? -50 Divide 5 by 1. 5 Calculate 994 divided by -71. -14 Calculate 782 divided by 782. 1 2 divided by -132 -1/66 Divide 5 by 614. 5/614 Divide -20 by -7. 20/7 What is 810 divided by 810? 1 What is 220 divided by 5? 44 Calculate 5580 divided by -62. -90 Calculate -30 divided by -5. 6 What is 23974 divided by 1? 23974 54 divided by -9 -6 Calculate -2284 divided by 571. -4 Calculate -483 divided by -23. 21 What is 3 divided by 167? 3/167 What is 5 divided by 18? 5/18 What is -894 divided by 3? -298 Divide 0 by -3782. 0 Divide 61548 by -2. -30774 -5 divided by 2165 -1/433 Calculate 5 divided by 27. 5/27 What is -150 divided by -1? 150 Divide 5 by 2270. 1/454 What is 1674 divided by -1? -1674 3010 divided by 14 215 Divide -32 by 201. -32/201 Divide -777 by 7. -111 Divide -140 by -2. 70 Calculate 95 divided by -2. -95/2 2 divided by 29 2/29 1 divided by -369 -1/369 What is -195 divided by -3? 65 What is -102 divided by -34? 3 Divide -3615 by 4. -3615/4 Divide 110 by 5. 22 Calculate 97 divided by 97. 1 -198 divided by 11 -18 3 divided by 1097 3/1097 0 divided by -72 0 Calculate 195 divided by -39. -5 4 divided by -154 -2/77 What is 1632 divided by -17? -96 216 divided by -6 -36 Divide 19 by -19. -1 741 divided by -19 -39 84 divided by -114 -14/19 Calculate -1600 divided by -320. 5 319 divided by -3 -319/3 What is -114 divided by 57? -2 Calculate -669 divided by -223. 3 Calculate 25830 divided by 4. 12915/2 Calculate 120 divided by -39. -40/13 176 divided by -4 -44 What is 0 divided by 139? 0 Divide 6 by 6. 1 What is 3532 divided by -1? -3532 -8897 divided by 7 -1271 774 divided by 24 129/4 Calculate -68 divided by 4. -17 Divide -6402 by -11. 582 Calculate -61 divided by 61. -1 What is 210 divided by -5? -42 What is -40 divided by -10? 4 What is -300 divided by 5? -60 Divide -228 by 57. -4 Divide 1170 by -6. -195 Calculate -1177 divided by -107. 11 What is -3951 divided by 3? -1317 25 divided by 29 25/29 Divide 63 by -1. -63 -120 divided by -24 5 113 divided by -5 -113/5 -272 divided by -136 2 Divide -287 by -2. 287/2 Calculate -3 divided by 74. -3/74 Calculate 57 divided by -6. -19/2 Divide 83 by 4. 83/4 What is -300 divided by 1? -300 Calculate 1880 divided by 1880. 1 What is -34 divided by -4? 17/2 3003 divided by 273 11 160 divided by 2 80 Divide 2006 by 1. 2006 Divide 0 by 463. 0 -4116 divided by -196 21 Calculate -4 divided by 97. -4/97 Divide -1460 by -2. 730 52 divided by -1 -52 Divide 870 by 3. 290 -3 divided by -115 3/115 Calculate 227 divided by 87. 227/87 What is -48 divided by -8? 6 Divide 840 by -6. -140 Divide 4 by 190. 2/95 Divide -54 by 9. -6 Divide 2 by -772. -1/386 Calculate 30 divided by -6. -5 What is 729 divided by 3? 243 3 divided by -66 -1/22 Divide 118800 by 6. 19800 Divide -504 by 9. -56 What is -3 divided by -81? 1/27 136 divided by -6 -68/3 What is 2312 divided by -578? -4 168 divided by 21 8 What is 822 divided by -3? -274 -5 divided by 31 -5/31 Divide 4 by -290. -2/145 Divide 2346 by -391. -6 -1385 divided by -1385 1 What is 69 divided by 4? 69/4 Calculate 324 divided by 81. 4 What is -4 divided by -217? 4/217 What is 953 divided by -5? -953/5 What is -6 divided by -1? 6 What is 37 divided by -12? -37/12 What is -365 divided by -12? 365/12 Divide -1563 by -521. 3 What is -227 divided by 3? -227/3 Divide -239 by -16. 239/16 -11700 divided by -15 780 4 divided by -118 -2/59 1407 divided by -469 -3 26792 divided by 394 68 What is 646 divided by 38? 17 Divide 1 by 13. 1/13 What is -1603 divided by -7? 229 -2493 divided by -9 277 What is 4 divided by -828? -1/207 Calculate -19644 divided by -2. 9822 Calculate 4 divided by -50. -2/25 Calculate -154 divided by 7. -22 Calculate 3657 divided by -69. -53 3 divided by -23 -3/23 Calculate -1040 divided by 52. -20 Calculate 1224 divided by 3. 408 What is -2725 divided by 25? -109 3500 divided by 4 875 -376 divided by -188 2 Calculate -2 divided by 704. -1/352 What is 4230 divided by -470? -9 What is -4 divided by -2261? 4/2261 Calculate 3964 divided by -1982. -2 What is 11145 divided by 3? 3715 What is 19560 divided by -4890? -4 -224 divided by -56 4 2056 divided by -3 -2056/3 Divide 1047 by -349. -3 -28060 divided by -5 5612 What is 363 divided by 363? 1 Divide -2 by -148. 1/74 Divide 49868 by -14. -3562 What is 1872 divided by -468? -4 Calculate -270 divided by -30. 9 What is -294 divided by -7? 42 Divide -5 by -253. 5/253 Divide -702 by 3. -234 Calculate 645 divided by 3. 215 -690 divided by -3 230 Calculate 1776 divided by 12. 148 What is 1060 divided by 265? 4 Divide -3132 by 2. -1566 0 divided by 21 0 Divide 2975 by 5. 595 Calculate 40 divided by 3. 40/3 0 divided by 486 0 Calculate 2856 divided by -6. -476 What is 138 divided by 6? 23 -19 divided by -88 19/88 Divide -1542 by 2. -771 Calculate -2156 divided by 7. -308 Divide 1218 by -29. -42 Divide 294 by 1. 294 -4920 divided by 615 -8 Divide -5 by 511. -5/511 What is -5400 divided by 2? -2700 What is 0 divided by -2350? 0 Divide 144 by -4. -36 Calculate -4 divided by 2. -2 Divide -4465 by -47. 95 Divide -3 by 160. -3/160 2 divided by 4494 1/2247 Divide 934 by -467. -2 354 divided by -6 -59 Divide 300 by 5. 60 Calculate -40 divided by -4. 10 Divide -13660 by -3415. 4 -21 divided by 10 -21/10 Calculate 444 divided by 3. 148 What is -91 divided by 6? -91/6 What is -680 divided by 8? -85 Divide 24 by -52. -6/13 Divide 155 by -5. -31 Calculate -4512 divided by -5. 4512/5 -15635 divided by -6 15635/6 Divide 5 by 21. 5/21 What is -552 divided by 1? -552 Calc
{ "pile_set_name": "DM Mathematics" }
. Calculate u(29). 24 Let o(d) = d**2 - 19*d + 27. Calculate o(6). -51 Let l(k) = k**3 + 28*k**2 - 60*k - 51. Determine l(-30). -51 Let z(s) = -54*s - 530. What is z(-13)? 172 Let c(f) = f**3 - 37*f**2 - 126*f - 32. Give c(40). -272 Let f(a) = -a**3 + 52*a**2 + 919*a + 353. What is f(66)? 23 Let i(l) = -l**3 - 45*l**2 + 72*l - 609. Calculate i(-47). 425 Let h(a) = -2*a**2 + 20*a - 2. What is h(8)? 30 Let z(q) = 277*q - 6366. Calculate z(23). 5 Let c(w) = -11*w**3 - 36*w + 33. Calculate c(1). -14 Let m(b) = -2*b**2 + 466*b - 913. Give m(2). 11 Let j(s) = -332*s + 1925. Determine j(6). -67 Let c(k) = 11*k**2 + 158*k + 37. What is c(-14)? -19 Let a(h) = 14261*h. Give a(0). 0 Let u(h) = -h**3 + 14*h**2 + 12*h + 33. What is u(15)? -12 Let r(z) = -z**2 - 100*z + 2844. Calculate r(23). 15 Let d(u) = -10*u**3 + 95*u**2 + 48*u + 20. Calculate d(10). 0 Let f(p) = 8*p - 619. Determine f(-65). -1139 Let v(u) = -u**2 + 2*u + 5. Give v(6). -19 Let z(x) = 3*x**2 + 8*x + 18. Determine z(-4). 34 Let f(l) = -16141*l + 193689. Give f(12). -3 Let o(j) = 9*j**2 + 54*j + 51. Determine o(-5). 6 Let w(y) = -9*y**2 - 122*y + 625. Give w(5). -210 Let f(p) = 350*p - 677. What is f(3)? 373 Let u(r) = -26*r**3 + 112*r**2 - 34*r + 14. Determine u(4). 6 Let a(o) = o**3 + 13*o**2 - 18*o + 199. Give a(-15). 19 Let v(j) = 14*j**2 - 326*j + 1892. Determine v(11). 0 Let t(o) = 8*o**2 + 50*o + 22. Give t(-6). 10 Let h(n) = -1494*n + 5974. Calculate h(4). -2 Let a(t) = 3*t**3 + 26*t**2 + 147*t - 172. Calculate a(1). 4 Let r(y) = -4*y**3 - 15*y**2 + 12*y + 28. Calculate r(-4). -4 Let n(q) = 334*q - 13954. Give n(42). 74 Let m(l) = 15*l**2 + 395*l - 22. What is m(-27)? 248 Let z(w) = w**3 + 4*w**2 - 65*w - 1. Determine z(-5). 299 Let s(k) = 14*k**2 - 1121*k + 29. Calculate s(80). -51 Let n(g) = 15*g**3 - 108*g**2 + 20*g + 1. Calculate n(7). -6 Let o(g) = g**2 + 821*g - 12545. Give o(15). -5 Let l(x) = -129*x - 3. Calculate l(-1). 126 Let h(s) = 265*s - 1448. Determine h(5). -123 Let d(f) = -f**3 - 6*f**2 + f - 108. What is d(-8)? 12 Let h(g) = -17*g - 1884. What is h(-105)? -99 Let q(t) = -t**3 - 43*t**2 - 411*t - 62. Give q(-14). 8 Let z(j) = 5*j**3 + 37*j**2 + 64*j + 403. What is z(-7)? 53 Let x(y) = y**3 + 61*y**2 + 2*y + 102. Give x(-61). -20 Let j(m) = -4*m**2 - 353*m + 378. Determine j(-87). 813 Let v(b) = -b**3 - 2*b**2 + 39*b - 160. Give v(0). -160 Let g(i) = 5*i**2 - 22*i + 17. What is g(1)? 0 Let t(b) = -502*b - 1038. Determine t(-2). -34 Let g(r) = r**3 + 50*r**2 + 150*r + 4943. Calculate g(-49). -6 Let a(z) = 2*z + 15. Calculate a(-13). -11 Let y(q) = -q**2 - 10*q - 17. Determine y(-9). -8 Let q(i) = 41*i**2 - 62*i + 25. Determine q(1). 4 Let p(i) = 5*i**3 - 3*i**2 - 27*i - 5. What is p(-6)? -1031 Let z(o) = -o**3 - 6*o**2 + 31*o + 275. What is z(-8)? 155 Let d(a) = a**3 + 9*a**2 - 16*a - 130. Calculate d(-13). -598 Let r(b) = b**2 - 25*b + 175. Calculate r(16). 31 Let j(y) = 27*y - 507. What is j(17)? -48 Let k(j) = -5*j**3 + 7*j**2 - 81*j + 265. Calculate k(3). -50 Let w(n) = -3*n**2 + 208*n + 2284. Give w(79). -7 Let x(y) = y**3 + 19*y**2 - 36*y + 131. Determine x(-21). 5 Let k(l) = l**3 + 30*l**2 - 19*l - 565. Give k(-30). 5 Let i(x) = 5*x - 42. Calculate i(2). -32 Let k(h) = 5*h**3 + 3*h**2 - 7*h + 6. Calculate k(2). 44 Let a(v) = -125*v + 24487. Determine a(196). -13 Let g(k) = 2*k**3 + 83*k**2 - 80*k - 1602. Determine g(-42). -6 Let r(o) = 327*o - 8829. Give r(27). 0 Let z(r) = 255*r - 12491. Give z(49). 4 Let s(h) = 19*h**2 + 16*h - 34. Give s(2). 74 Let j(y) = -16*y**2 - 54*y + 207. What is j(4)? -265 Let m(o) = -20*o + 83. Give m(5). -17 Let o(p) = -2*p**2 + 202*p - 1990. Calculate o(90). -10 Let s(q) = 547*q + 29501. Give s(-54). -37 Let s(f) = -6*f**2 + 174*f - 966. Give s(22). -42 Let g(i) = -3*i**3 - 10*i**2 + 46*i + 10. Calculate g(-6). 22 Let y(n) = n**3 - 14*n**2 + 4*n + 42. Give y(13). -75 Let d(u) = 13*u**2 - 13*u - 2. Calculate d(-2). 76 Let u(l) = -23*l - 1717. What is u(-75)? 8 Let o(f) = -7*f**3 + 7. Determine o(3). -182 Let d(g) = g**2 - 17*g - 144. Calculate d(-7). 24 Let s(b) = 46*b**2 + 2346*b. What is s(-51)? 0 Let h(z) = 327*z - 2303. Give h(7). -14 Let k(a) = 2*a**2 + 3*a - 56. What is k(7)? 63 Let q(z) = 106*z - 18. What is q(1)? 88 Let t(d) = -d**3 - 19*d**2 + 44*d + 880. What is t(-19)? 44 Let i(q) = -7364*q - 301914. Calculate i(-41). 10 Let z(o) = -169*o - 15351. What is z(-91)? 28 Let f(d) = 18*d - 368. Determine f(4). -296 Let k(a) = -a**3 + 2*a**2 - 15*a + 43. Give k(4). -49 Let d(c) = 2*c**2 + 1009*c - 3033. Determine d(3). 12 Let u(h) = h**3 + 87*h**2 + 253*h + 96. Give u(-84). 12 Let t(g) = -g**2 + 15*g + 723. Determine t(-20). 23 Let u(m) = -4510*m + 36071. Calculate u(8). -9 Let w(j) = j**2 + 24*j + 54. What is w(-13)? -89 Let y(v) = -2*v**3 + 23*v**2 - 7*v - 19. What is y(10)? 211 Let q(u) = -2*u**3 + 14*u**2 + 5*u + 3. Calculate q(8). -85 Let m(s) = -s**3 - 11*s**2 + 19*s - 79. Determine m(-13). 12 Let u(r) = -93*r**3 - 9*r**2 + 17*r + 17. What is u(-1)? 84 Let h(m) = 83*m + 2450. Calculate h(-29). 43 Let h(p) = p**3 + p**2 - 206*p + 40. Give h(-15). -20 Let p(m) = -68*m - 198. Determine p(-3). 6 Let q(r) = -3*r**2 + 3*r - 63. Calculate q(-6). -189 Let w(y) = -y**2 + 28*y - 182. Determine w(10). -2 Let x(t) = -223*t - 48379. What is x(-217)? 12 Let v(d) = 2*d**3 + 15*d**2 + 6*d + 107. Give v(-8). -5 Let x(r) = -r**3 - 15*r**2 + r + 35. Determine x(-16). 275 Let s(z) = 2682*z - 2760. What is s(1)? -78 Let v(u) = -2*u**2 + 47*u - 14. Give v(11). 261 Let i(m) = -m**3 - 21*m**2 + 24*m - 85. What is i(-22)? -129 Let q(p) = -8*p**2 + 69*p + 2. Determine q(9). -25 Let m(g) = 4*g - 393. Determine m(32). -265 Let z(o) = -6*o**3 + 2*o**2 - 2*o - 11. Calculate z(0). -11 Let o(g) = 206*g + 4791. Give o(-23). 53 Let b(h) = 23*h**2 + 72*h - 143. What is b(2)? 93 Let i(d) = -92*d + 2585. Calculate i(28). 9 Let j(r) = 46*r - 3038. Determine j(66). -2 Let k(h) = -180*h + 36. Calculate k(1). -144 Let m(h) = -66*h - 673. Give m(-10). -13 Let x(p) = 5*p**3 - 136*p**2 + 25*p - 21. Determine x(27). -75 Let h(w) = -682*w - 2743. What is h(-4)? -15 Let g(y) = 4*y**2 + 192*y - 206. What is g(-49)? -10 Let j(d) = d**3 + 6*d**2 - 18*d - 69. Calculate j(-7). 8 Let f(j) = 85*j + 627. Calculate f(-8). -53 Let o(a) = 3*a**2 - 27*a + 144. Give o(10). 174 Let b(n) = 163*n - 11606. What is b(71)? -33 Let l(f) = 1235*f + 113623. Give l(-92). 3 Let m(j) = -2*j**3 - 4*j**2 + 20*j + 1. Give m(-6). 169 Let z(b) = -2*b**2 - 29*b + 337. What is z(8)? -23 Let s(k) = -13*k**2 + 1768*k - 30. Give s(136). -30 Let j(o) = o**3 - 13*o**2 - 29*o + 309. What is j(14)? 99 Let t(x) = -3*x + 117. Determine t(36). 9 Let b(h) = -22*h**3 - 50*h**2 + 151*h - 10. Determine b(-4). -6 Let t(y) = -y**3 - 25*y**2 + 26*y - 38. What is t(-26)? -38 Let w(c) = 42*c**2 + 5*c + 16. Calculate w(-2). 174 Let t(l) = 4*l - 286. Give t(53). -74 Let m(g) = g**3 + 25*g**2 - 51*g + 74. Determine m(-27). -7 Let a(u) = 70*u + 9. Calculate a(1). 79 Let x(h) = -11*h + 229. Give x(-37). 636 Let c(o) = 99*o - 1481. Give c(15). 4 Let y(x) = x**3 + 8*x**2 - 25*x - 146. What is y(-8)? 54 Let n(x) = 3*x**2 - 4*x + 20. Calculate n(1). 19 Let g(n) = n**3 - 8*n**2 - 80*n + 6. What is g(-7)? -169 Let k(i) = i**3 + 9*i**2 + 29*i + 137. Calculate k(-7). 32 Let h(j) = -2*j**3 - 22*j**2 - 55*j + 71. Give h(-5). 46 Let w(v) = -v**2 + 28*v + 97. Give w(33). -68 Let u(t) = 8*t**3 - 3*t**2 - 10. Calculate u(-3). -253 Let o(d) = -d**3 + 71*d**2 - 75*d + 337. Determine o(70). -13 Let w(t) = 6*t**2 + 25*t + 33. Calculate w(-5). 58 Let l(v) = v**3 + 7*v**2 - 100*v - 30. Calculate l(-14). -2 Let k(o) = 34*o**2 + 270*o - 6. Calculate k(-8). 10 Let t(n) = 2*n**3 + 5*n**2 + 66*n - 87. What is t(0)? -87 Let x(m) = -m**2 - 7*m - 5. Determine x(-7). -5 Let o(l) = 69*l - 4131. Determine o(60). 9 Let o(b) = -b**3 - 45*b**2 - 34*b + 404. Calculate o(-44). -36 Let p(r) = 196*r**2 - 119*r + 118. What is p(1)? 195 Let m(l) = 1715*l - 8589. Calculate m(5). -14 Let k(s) = 16*s + 1034. Determine k(-61). 58 Let i(k) = -8*k**2 + 13*k + 28. Give i(-5). -237 Let u(s) = -s**3 + 11*s**2 + 312*s + 74. Calculate u(24). 74 Let z(b) = 13*b**2 + 6*b - 9. Calculate z(2). 55 Let k(j) = -15465*j + 15474. Calculate k(1). 9 Let z(x) = 2*x**2 + 124*x + 3
{ "pile_set_name": "DM Mathematics" }
9, -2469, -3237, -4313? -154*a**2 + 2*a - 1857 What is the n'th term of 744, 637, 400, 33, -464, -1091, -1848? -65*n**2 + 88*n + 721 What is the p'th term of 1755, 2994, 4233, 5472, 6711, 7950? 1239*p + 516 What is the i'th term of 1058693, 2117264, 3175835, 4234406? 1058571*i + 122 What is the s'th term of -453192, -453209, -453226, -453243, -453260, -453277? -17*s - 453175 What is the q'th term of 3932230, 3932229, 3932228, 3932227, 3932226? -q + 3932231 What is the c'th term of -1042176, -2084355, -3126534, -4168713? -1042179*c + 3 What is the h'th term of -2632616, -5265230, -7897844, -10530458, -13163072, -15795686? -2632614*h - 2 What is the d'th term of 5191, 21404, 48637, 86890? 5510*d**2 - 317*d - 2 What is the o'th term of 1853770, 1853774, 1853770, 1853752, 1853714, 1853650, 1853554, 1853420? -o**3 + 2*o**2 + 5*o + 1853764 What is the j'th term of 19288, 18338, 17374, 16390, 15380, 14338? -j**3 - j**2 - 940*j + 20230 What is the g'th term of 864676, 1729389, 2594102, 3458815? 864713*g - 37 What is the a'th term of -15336, -16506, -17676, -18846, -20016, -21186? -1170*a - 14166 What is the p'th term of -971074, -971075, -971076, -971077, -971078, -971079? -p - 971073 What is the g'th term of -48073, -48510, -48947? -437*g - 47636 What is the n'th term of 2448393, 2448389, 2448385, 2448381? -4*n + 2448397 What is the j'th term of 40817957, 81635918, 122453879, 163271840, 204089801? 40817961*j - 4 What is the y'th term of -3527, -28334, -95699, -226904, -443231, -765962, -1216379? -3547*y**3 + 3*y**2 + 13*y + 4 What is the w'th term of -56562, -56548, -56472, -56304, -56014, -55572? 5*w**3 + w**2 - 24*w - 56544 What is the c'th term of 14549, 14683, 14817? 134*c + 14415 What is the w'th term of -3924, -2154, -384, 1386? 1770*w - 5694 What is the o'th term of -2519, -2503, -2437, -2297, -2059, -1699, -1193? 4*o**3 + o**2 - 15*o - 2509 What is the j'th term of 3449481, 3449452, 3449431, 3449424, 3449437, 3449476, 3449547? j**3 - 2*j**2 - 30*j + 3449512 What is the r'th term of -2527, -2536, -2537, -2518, -2467, -2372, -2221? 2*r**3 - 8*r**2 + r - 2522 What is the k'th term of 190271, 761092, 1712455, 3044354, 4756783, 6849736, 9323207, 12177190? -k**3 + 190277*k**2 - 3*k - 2 What is the w'th term of 243161, 486366, 729573, 972788, 1216017, 1459266, 1702541, 1945848? w**3 - 5*w**2 + 243213*w - 48 What is the f'th term of 1078, 2379, 3902, 5647, 7614, 9803, 12214? 111*f**2 + 968*f - 1 What is the n'th term of -26712, -29227, -36060, -49371, -71320, -104067, -149772, -210595? -360*n**3 + n**2 + 2*n - 26355 What is the z'th term of 6553482, 6553478, 6553474, 6553470, 6553466, 6553462? -4*z + 6553486 What is the m'th term of -6306, -25621, -57876, -103077, -161230? -m**3 - 6464*m**2 + 84*m + 75 What is the m'th term of -371, -1848, -4295, -7712, -12099? -485*m**2 - 22*m + 136 What is the b'th term of 273, 386, 593, 912, 1361, 1958, 2721, 3668? 3*b**3 + 29*b**2 + 5*b + 236 What is the i'th term of -2602479, -2602464, -2602449? 15*i - 2602494 What is the v'th term of 1530780, 3061473, 4592086, 6122619, 7653072, 9183445, 10713738? -40*v**2 + 1530813*v + 7 What is the z'th term of 7200393, 14400810, 21601225, 28801638, 36002049, 43202458? -z**2 + 7200420*z - 26 What is the r'th term of -2428, -4800, -7132, -9424, -11676, -13888? 20*r**2 - 2432*r - 16 What is the o'th term of -1290, -4990, -11154, -19782, -30874? -1232*o**2 - 4*o - 54 What is the f'th term of -11168885, -11168884, -11168883, -11168882, -11168881? f - 11168886 What is the x'th term of -102973, -103634, -104291, -104944? 2*x**2 - 667*x - 102308 What is the v'th term of -31551, -62901, -94249, -125595, -156939, -188281, -219621? v**2 - 31353*v - 199 What is the p'th term of 16171, 32110, 47963, 63730, 79411, 95006, 110515? -43*p**2 + 16068*p + 146 What is the j'th term of -73142, -146446, -219934, -293600, -367438, -441442? j**3 - 98*j**2 - 73017*j - 28 What is the n'th term of 82706, 330833, 744372, 1323323? 82706*n**2 + 9*n - 9 What is the r'th term of -25280, -102907, -232286, -413417, -646300, -930935, -1267322? -25876*r**2 + r + 595 What is the b'th term of -3547, -6901, -10267, -13651, -17059, -20497? -b**3 - 3347*b - 199 What is the o'th term of -932699, -932761, -932813, -932849, -932863, -932849? o**3 - o**2 - 66*o - 932633 What is the z'th term of 49950, 49473, 48678, 47565? -159*z**2 + 50109 What is the a'th term of 1575, -306, -5403, -15324, -31677, -56070, -90111, -135408? -268*a**3 - 5*a + 1848 What is the q'th term of 5501, 9621, 13741, 17861, 21981? 4120*q + 1381 What is the v'th term of 27668, 27767, 27866, 27965, 28064, 28163? 99*v + 27569 What is the i'th term of 26170, 52298, 78378, 104410, 130394, 156330? -24*i**2 + 26200*i - 6 What is the o'th term of -8059, -12231, -16403? -4172*o - 3887 What is the m'th term of -33714, -33396, -33078? 318*m - 34032 What is the k'th term of -2791656, -5583328, -8375000, -11166672? -2791672*k + 16 What is the t'th term of 77525055, 77525054, 77525053, 77525052, 77525051? -t + 77525056 What is the d'th term of -600, 878, 5006, 13110, 26516, 46550, 74538, 111806? 221*d**3 - d**2 - 66*d - 754 What is the j'th term of -99668, -199365, -299062? -99697*j + 29 What is the i'th term of 7337858, 7337919, 7337980, 7338041, 7338102? 61*i + 7337797 What is the j'th term of 12839, 24686, 36531, 48374, 60215? -j**2 + 11850*j + 990 What is the u'th term of 4611, 1627, -1357, -4341? -2984*u + 7595 What is the v'th term of 386686, 773384, 1160090, 1546798, 1933502, 2320196, 2706874, 3093530? -v**3 + 10*v**2 + 386675*v + 2 What is the b'th term of -413427, -826852, -1240277? -413425*b - 2 What is the o'th term of -138620523, -138620524, -138620525? -o - 138620522 What is the r'th term of -66, -1098, -3912, -9402, -18462, -31986, -50868, -76002? -149*r**3 + 3*r**2 + 2*r + 78 What is the p'th term of 28903, 91143, 194875, 340099? 20746*p**2 + 2*p + 8155 What is the i'th term of -36876, -37100, -37324, -37554, -37796, -38056, -38340, -38654? -i**3 + 6*i**2 - 235*i - 36646 What is the s'th term of 75457, 75421, 75385, 75349, 75313, 75277? -36*s + 75493 What is the s'th term of 258594, 1034368, 2327328, 4137474, 6464806, 9309324? 258593*s**2 - 5*s + 6 What is the y'th term of -10295, -10308, -10329, -10364, -10419, -10500? -y**3 + 2*y**2 - 12*y - 10284 What is the w'th term of -939097, -939104, -939111, -939118, -939125? -7*w - 939090 What is the l'th term of -89917166, -89917156, -89917138, -89917112? 4*l**2 - 2*l - 89917168 What is the w'th term of 499566, 999141, 1498716, 1998291? 499575*w - 9 What is the m'th term of 9105607, 18211227, 27316857, 36422503, 45528171, 54633867? m**3 - m**2 + 9105616*m - 9 What is the y'th term of 2556, 5148, 7686, 10170? -27*y**2 + 2673*y - 90 What is the x'th term of -88290168, -88290169, -88290170, -88290171? -x - 88290167 What is the j'th term of 6297, 7059, 9137, 13191, 19881? 110*j**3 - 2*j**2 - 2*j + 6191 What is the o'th term of 30322, 35420, 40514, 45604, 50690, 55772? -2*o**2 + 5104*o + 25220 What is the z'th term of -7631514, -7631514, -7631516, -7631520, -7631526, -7631534, -7631544? -z**2 + 3*z - 7631516 What is the r'th term of 39840, 79757, 119674, 159591? 39917*r - 77 What is the m'th term of 15102935, 15102937, 15102939? 2*m + 15102933 What is the b'th term of -562, -1385, -2778, -4741, -7274? -285*b**2 + 32*b - 309 What is the c'th term of 27867, 55159, 82451, 109743, 137035, 164327? 27292*c + 575 What is the k'th term of -1089023, -2178056, -3267085, -4356110, -5445131, -6534148? 2*k**2 - 1089039*k + 14 What is the t'th term of 5330627, 10661140, 15991655, 21322172, 26652691? t**2 + 5330510*t + 116 What is the t'th term of 14990, 15042, 15094? 52*t + 14938 What is the z'th term of -215770, -863058, -1941874, -3452224, -5394114, -7767550? -z**3 - 215758*z**2 - 7*z - 4 What is the w'th term of -4955, -9805, -14655? -4850*w - 105 What is the m'th term of -3234, -5314, -7388, -9456? 3*m**2 - 2089*m - 1148 What is the h'th term of 404127, 404368, 404609, 404850, 405091? 241*h + 403886 What is the m'th term of -11752315, -47009288, -105770903, -188037154, -293808035? m**3 - 11752327*m**2 + m + 10 What is the r'th term of -4965, -11664, -18363, -25062, -31761, -38460? -6699*r + 1734 What is the x'th t
{ "pile_set_name": "DM Mathematics" }
nominator of 37/510 and 61/42? 3570 Calculate the lowest common multiple of 1 and 43. 43 What is the least common multiple of 20 and 2884? 14420 What is the lowest common multiple of 8 and 484? 968 Calculate the common denominator of -57/8 and -73/100. 200 What is the common denominator of -43/960 and -103/720? 2880 What is the common denominator of 37/4 and 47/772? 772 What is the common denominator of 38/765 and -21/25? 3825 Find the common denominator of -93/10 and -143/120. 120 Calculate the common denominator of 49/720 and 16/501. 120240 What is the lowest common multiple of 1326 and 20? 13260 What is the common denominator of -29/8 and 63/310? 1240 Calculate the lowest common multiple of 20 and 24. 120 Calculate the common denominator of -77/18 and 7/4968. 4968 What is the lowest common multiple of 143 and 66? 858 What is the least common multiple of 210 and 960? 6720 Calculate the smallest common multiple of 112 and 84. 336 Find the common denominator of -149/150 and -31/2445. 24450 What is the lowest common multiple of 2424 and 909? 7272 Calculate the common denominator of -43/504 and -5/672. 2016 Find the common denominator of -8/7 and 32/397. 2779 What is the common denominator of 83/24 and 23/7? 168 What is the common denominator of 17/146 and -23/1387? 2774 What is the smallest common multiple of 2123 and 1737? 19107 Calculate the least common multiple of 336 and 1134. 9072 What is the least common multiple of 4798 and 4? 9596 Calculate the common denominator of -69/200 and -81/640. 3200 What is the common denominator of -9/7 and -49/438? 3066 What is the lowest common multiple of 4 and 5849? 23396 Calculate the common denominator of -103/72 and 76/9. 72 Calculate the lowest common multiple of 3264 and 512. 26112 What is the lowest common multiple of 14 and 260? 1820 Find the common denominator of 97/108 and -35/33. 1188 What is the smallest common multiple of 30 and 4548? 22740 What is the smallest common multiple of 210 and 2980? 62580 What is the common denominator of 93/22 and -107/156? 1716 What is the least common multiple of 80 and 16? 80 What is the common denominator of -85/66 and -13/495? 990 Find the common denominator of -9/871 and -41/78. 5226 Calculate the lowest common multiple of 768 and 192. 768 What is the common denominator of 37/72 and -113/1040? 9360 Calculate the common denominator of 57/10 and 23/5412. 27060 Calculate the common denominator of 111/14 and -51/37. 518 Find the common denominator of 83/147 and -13/189. 1323 Find the common denominator of 34/25 and 37/69. 1725 What is the least common multiple of 246 and 6? 246 What is the common denominator of -53/480 and -143/1020? 8160 Find the common denominator of 52/9 and -39/67. 603 Calculate the common denominator of 61/10 and -93/278. 1390 What is the least common multiple of 338 and 4732? 4732 Calculate the lowest common multiple of 55 and 70. 770 Find the common denominator of 9/2926 and -23/3192. 35112 What is the smallest common multiple of 54 and 66? 594 Calculate the least common multiple of 6 and 2. 6 What is the lowest common multiple of 10 and 158? 790 Calculate the lowest common multiple of 80 and 280. 560 Find the common denominator of 19/588 and -59/147. 588 Calculate the common denominator of 97/48 and 139/24. 48 Find the common denominator of 46/5143 and -28/9. 46287 Calculate the lowest common multiple of 480 and 24. 480 What is the common denominator of 15/3704 and -59/5? 18520 What is the common denominator of 91/80 and -31/88? 880 What is the lowest common multiple of 121 and 341? 3751 Calculate the smallest common multiple of 53 and 181. 9593 Calculate the common denominator of 151/372 and -51/28. 2604 What is the smallest common multiple of 2 and 234? 234 What is the lowest common multiple of 385 and 980? 10780 Calculate the least common multiple of 132 and 1. 132 Find the common denominator of 48/1057 and 143/84. 12684 Calculate the common denominator of 64/363 and -7/1089. 1089 What is the smallest common multiple of 48 and 72? 144 What is the common denominator of -67/680 and -69/20? 680 What is the lowest common multiple of 15268 and 20? 76340 What is the common denominator of 3/272 and -5/476? 1904 Calculate the lowest common multiple of 222 and 633. 46842 Calculate the least common multiple of 33 and 33. 33 Calculate the lowest common multiple of 21 and 9. 63 What is the smallest common multiple of 2 and 36? 36 Calculate the smallest common multiple of 28 and 8328. 58296 Calculate the common denominator of -37/484 and 15/28. 3388 Calculate the least common multiple of 345 and 3. 345 Calculate the common denominator of 18 and 49/821. 821 What is the common denominator of 67/12 and 5/76? 228 Calculate the least common multiple of 945 and 35. 945 Find the common denominator of 23/357 and -26/119. 357 What is the smallest common multiple of 54 and 9? 54 Calculate the lowest common multiple of 805 and 115. 805 Find the common denominator of 19/1256 and 49/22. 13816 Find the common denominator of -20/777 and 70/9. 2331 Find the common denominator of 121/180 and 3/80. 720 What is the common denominator of 85/88 and 83/40? 440 What is the common denominator of -47/76 and 27/133? 532 What is the common denominator of 26/189 and -68/189? 189 What is the lowest common multiple of 280 and 245? 1960 What is the common denominator of 9/16 and 43/88? 176 Calculate the smallest common multiple of 20 and 25. 100 What is the common denominator of 17/11 and 103/134? 1474 Calculate the lowest common multiple of 150 and 675. 1350 Find the common denominator of -59/18 and 1/98. 882 What is the common denominator of 85/184 and -47/230? 920 Find the common denominator of 38 and 38/1385. 1385 Find the common denominator of -2/315 and -48/49. 2205 What is the common denominator of 43/9 and 64/579? 1737 Calculate the lowest common multiple of 6 and 6. 6 Calculate the common denominator of -71/20 and -101/28. 140 What is the common denominator of -64/15 and 28/117? 585 What is the common denominator of -81/440 and 79/264? 1320 Calculate the common denominator of 91/92 and -29/36. 828 What is the smallest common multiple of 264 and 18? 792 Calculate the common denominator of -139/210 and -16/1323. 13230 What is the lowest common multiple of 1375 and 30? 8250 What is the common denominator of -39/50 and -151/36? 900 What is the smallest common multiple of 6 and 319? 1914 What is the lowest common multiple of 182 and 10? 910 What is the smallest common multiple of 10 and 10? 10 What is the least common multiple of 33 and 891? 891 Calculate the smallest common multiple of 8 and 312. 312 Find the common denominator of -17/24 and -3/140. 840 Calculate the least common multiple of 3180 and 540. 28620 Calculate the lowest common multiple of 468 and 312. 936 Calculate the least common multiple of 489 and 6. 978 Calculate the common denominator of -19/48 and 61/240. 240 What is the common denominator of 47/1500 and 67/18? 4500 What is the lowest common multiple of 1140 and 90? 3420 Calculate the smallest common multiple of 660 and 30. 660 Find the common denominator of 65/33 and -35/2. 66 What is the lowest common multiple of 12973 and 4? 51892 What is the common denominator of 13/418 and 29/22? 418 What is the common denominator of 39/11 and -39/316? 3476 Calculate the common denominator of -9/55 and -107/300. 3300 Calculate the lowest common multiple of 50 and 125. 250 Calculate the lowest common multiple of 10 and 682. 3410 Calculate the least common multiple of 36 and 16. 144 Calculate the lowest common multiple of 99 and 1089. 1089 Find the common denominator of -57/85 and -41/10. 170 What is the least common multiple of 35 and 2? 70 Calculate the common denominator of 73/57 and 10/441. 8379 Calculate the common denominator of 67/75 and 37/3175. 9525 Calculate the common denominator of 67/10 and 21/2. 10 What is the smallest common multiple of 40 and 1010? 4040 Calculate the smallest common multiple of 126 and 112. 1008 What is the smallest common multiple of 36 and 6? 36 What is the common denominator of -77/10 and -93/3070? 3070 Calculate the common denominator of -59/26 and 67/2. 26 What is the least common multiple of 5 and 3010? 3010 What is the commo
{ "pile_set_name": "DM Mathematics" }
Let f be (26/(-4) - 1)*(-56)/21. Let g = -17 + f. Find z such that 8*z**3 - z**g - 10*z**3 + 3*z**2 + 6*z = 0. -1, 0, 2 Let x(i) be the third derivative of 1/12*i**4 + 1/30*i**6 - 33*i**2 - i - 7/20*i**5 + 0 + 5/2*i**3. Factor x(j). (j - 5)*(j - 1)*(4*j + 3) What is i in 16*i**2 + 11*i**3 + 94972*i**4 - 94971*i**4 - 3*i**3 = 0? -4, 0 Suppose 5*k - 5932 - 8892 = 4*n, -3*k + n = -8893. Let j be (-1)/13 - (-1216)/k. Factor 1/3 - 4/3*y + 2*y**2 - 4/3*y**3 + j*y**4. (y - 1)**4/3 Let x(k) be the first derivative of k**6/1080 - k**5/24 + 7*k**4/36 + 13*k**3/3 - 31. Let n(s) be the third derivative of x(s). Let n(a) = 0. What is a? 1, 14 Let f(r) = -r**2 + 11*r + 81. Let z be f(15). Let i be (-5)/10*(-54)/z. Let -30/7*k**3 + i*k**4 + 37/7*k**2 + 4/7 - 20/7*k = 0. Calculate k. 2/3, 1 Let q(c) be the third derivative of c**5/40 + 171*c**4/2 + 116964*c**3 - 2090*c**2. Let q(m) = 0. What is m? -684 Suppose -480 - 30821*y**4 - 1970*y**2 - 1020*y**3 - 1615*y + 30631*y**4 - 34*y**5 + 29*y**5 = 0. What is y? -32, -3, -1 Factor 114*g**2 - 40*g**2 - 444*g + 356 + 12*g**2 + 55*g**2 - 56 + 3*g**3. 3*(g - 2)*(g - 1)*(g + 50) Let s(k) = 32*k**2 - 329*k - 11. Let j(p) = 16*p**2 - 172*p - 5. Let u(m) = 5*j(m) - 3*s(m). Let u(w) = 0. Calculate w. -1/16, 8 Let x(i) be the first derivative of i**6/1260 + i**5/140 - 50*i**3/3 + 48. Let c(f) be the third derivative of x(f). Factor c(y). 2*y*(y + 3)/7 Suppose 47*t = 4*t + 172. Suppose -112*s**4 - 111*s**t + 16*s**2 - 2*s - 11*s**3 + 5*s + s + 214*s**4 = 0. Calculate s. -2, -2/9, 0, 1 Let p(u) = -2*u - 114. Let d be p(-18). Let m be -5 + d/30*-2. Solve 3/5*v**4 - 1/5*v**3 - 3/5*v**2 + 0 + 2/5*v - m*v**5 = 0. -1, 0, 1, 2 Factor -1/5*q**2 - 329/5 + 54/5*q. -(q - 47)*(q - 7)/5 Let a(h) = -2*h**2 + 5*h - 6. Let i be a(5). Let y = 36 + i. Find w, given that 6*w**3 - 3*w**2 + 2*w**y + 7*w**2 + 0*w**4 + 6*w**4 - 2*w**2 = 0. -1, 0 Let m(i) = -6*i**2 - 60*i - 3. Let h be m(-9). Suppose h = -661*b + 678*b. Find f such that -5/6*f**2 + 1/6*f**b + 1/2*f + 3/2 = 0. -1, 3 Determine c so that -1458/17 + 180/17*c - 2/17*c**2 = 0. 9, 81 Suppose -733*b = -746*b. Suppose b = 3129*k - 3133*k. Determine w so that 2/7*w**2 + 0 + k*w - 4/7*w**3 = 0. 0, 1/2 Let -51*x + 3/2*x**2 + 420 = 0. What is x? 14, 20 Solve 0 + 0*i + 1/2*i**3 - 3/2*i**2 = 0 for i. 0, 3 Let k be 2/11 + 6909/539. Suppose -29*h = -k*h - 14*h. Factor -3/7 + h*m + 3/7*m**2. 3*(m - 1)*(m + 1)/7 Factor 2*n**2 - 546 + 245 + 421 + 64*n. 2*(n + 2)*(n + 30) Let y(s) be the second derivative of -s**6/210 - 207*s**5/140 - 205*s**4/28 - 613*s**3/42 - 102*s**2/7 - 2*s + 4. Solve y(r) = 0. -204, -1 Suppose -7*d + 14 + 0 = 0. Suppose -3*y + d*y = -3. Solve y*m - 14*m + 234 - 226 - 5*m + 6*m**2 = 0 for m. 2/3, 2 Let l(v) = v**4 + 34*v**3 + 70*v**2 + 54*v - 3. Let c(o) = o**4 + 70*o**3 + 142*o**2 + 110*o - 7. Let g(z) = 3*c(z) - 7*l(z). Suppose g(b) = 0. What is b? -3, -2, 0 Let x(t) be the third derivative of t**8/2016 - 11*t**7/420 + 26*t**6/45 - 304*t**5/45 + 128*t**4/3 - 1024*t**3/9 + t**2 - 53*t. Let x(s) = 0. Calculate s. 1, 8 Suppose 4*f - 8 = -3*t - 6, 4*t + 12 = 2*f. Suppose 24*p**2 - 44*p**2 - f*p + 15*p**2 - 5*p - 2 = 0. Calculate p. -1, -2/5 Let d = -260 - -484. Let p be (-32)/4 + d/24. Factor 0 + 2/3*a**3 - p*a**2 - 2*a. 2*a*(a - 3)*(a + 1)/3 Determine p so that 12*p**3 - 2/7*p**5 - 412/7*p**2 + 390/7 - 82/7*p + 22/7*p**4 = 0. -5, -1, 1, 3, 13 Let f = -666893/7 + 95271. Solve 0*l + f*l**4 - 20/7*l**3 + 0 - 24/7*l**2 = 0. -1, 0, 6 Let r(z) be the third derivative of z**8/1344 - z**7/105 - z**6/240 + 3*z**5/10 - 21*z**4/32 - 550*z**2. Let r(c) = 0. Calculate c. -3, 0, 1, 3, 7 Let f = -522 - 445. Let v = -965 - f. Solve -12/5*j**3 + 8/5*j**v + 0 - 2/5*j + 8/5*j**4 - 2/5*j**5 = 0. 0, 1 Factor 54/5*y - 3/5*y**2 - 231/5. -3*(y - 11)*(y - 7)/5 Let q(b) = -7*b**3 + 493*b**2 - 6*b - 6. Let n(m) = -m**3 - 27*m**2 - m - 1. Let w(u) = 6*n(u) - q(u). Factor w(f). f**2*(f - 655) Let d(v) = -2*v**2 - 16076*v - 32304890. Let f(x) = -14*x**2 - 112532*x - 226134174. Let w(c) = 20*d(c) - 3*f(c). What is t in w(t) = 0? -4019 Suppose -33*t + 977 = 878. Let m(k) be the third derivative of 5/24*k**4 + 25*k**2 + 0*k + 0*k**t + 0 - 1/15*k**5. Suppose m(j) = 0. What is j? 0, 5/4 What is s in -94*s**3 - 581071360 + 10*s**3 - 7320*s**2 - 3572160*s + 79*s**3 = 0? -488 What is n in -3/2*n**5 - 3*n**3 - 3/2 + 9/2*n - 3*n**2 + 9/2*n**4 = 0? -1, 1 Suppose 150*u - 2 = 149*u. Let g be (-1*64/(-24))/u. Factor -g*j**3 + 0 + 0*j - 8/3*j**2. -4*j**2*(j + 2)/3 Determine c, given that -1615 - 5/2*c**2 - 3235/2*c = 0. -646, -1 Let j(u) be the first derivative of 5*u**4/28 + 106*u**3/21 - 89*u**2/14 - 22*u/7 + 3000. Factor j(n). (n - 1)*(n + 22)*(5*n + 1)/7 Suppose 1707*k - 1704*k = -4*d + 38, 2*d + 8 = 3*k. Factor d*j + 0*j**2 - 5/2 - 5*j**3 + 5/2*j**4. 5*(j - 1)**3*(j + 1)/2 Let j(i) be the second derivative of -i**5/70 - 191*i**4/42 + 64*i**3/7 - 2*i - 5198. Factor j(f). -2*f*(f - 1)*(f + 192)/7 Let d(k) be the third derivative of 1/105*k**5 - 1/84*k**6 + 0*k**3 + 54*k**2 + 2 - 1/1176*k**8 + 0*k + 0*k**4 + 4/735*k**7. Solve d(j) = 0 for j. 0, 1, 2 Let a be 1*(10*(-14)/35)/(0 - 1). Let u(f) be the third derivative of 1/20*f**5 - 43*f**2 + 0*f + 0 - 1/2*f**3 - 3/40*f**6 + 3/8*f**a. Factor u(b). -3*(b - 1)*(b + 1)*(3*b - 1) Suppose 0 + 2*v - 2/9*v**2 = 0. Calculate v. 0, 9 Suppose 526*t - 156 = 500*t. Find c, given that t*c**2 + 0 - 2/3*c**5 - 10/3*c**4 + 0*c - 2*c**3 = 0. -3, 0, 1 Let o(f) = 9*f - 75. Let k be o(12). Factor 2*v**5 + k*v**2 + 59*v**3 - 10*v**3 - v**3 - v**2 + 18*v**4. 2*v**2*(v + 1)*(v + 4)**2 Let d(u) = u**3 + 14*u**2 - 99*u - 243. Let t be d(-2). Factor -3/4*v**t + 0 + 0*v**2 + 3*v. -3*v*(v - 2)*(v + 2)/4 Let a(x) = -x**3 - 16*x**2 - 20*x - 57. Let t be a(-15). Solve -110*s - 2 - 54 - 5*s**4 - 59 + 109*s**2 + 11*s**2 + 92*s**3 + t*s**3 = 0 for s. -1, 1, 23 Let o(b) be the second derivative of -11/2*b**2 - 2/3*b**4 + 0 - 8/3*b**3 - 1/15*b**5 - 4*b. Let h(g) be the first derivative of o(g). Let h(q) = 0. What is q? -2 Let j = 232194 - 232192. What is a in 2/7*a**4 - 2/7*a - 2/7*a**5 + 4/7*a**3 + 2/7 - 4/7*a**j = 0? -1, 1 Let w(f) be the second derivative of 3*f**5/20 + 18*f**4 + 70*f**3 + 1410*f + 3. Factor w(v). 3*v*(v + 2)*(v + 70) Let l(f) be the second derivative of 128/9*f**4 - 4096/45*f**5 - 32/27*f**3 + 1/18*f**2 - 45*f + 1 + 32768/135*f**6. Factor l(w). (16*w - 1)**4/9 Let q(y) = -3*y**4 - 299*y**3 - 1549*y**2 - 2181*y - 940. Let h(f) = -5*f**4 - 600*f**3 - 3099*f**2 - 4362*f - 1879. Let l(m) = -4*h(m) + 7*q(m). Factor l(r). -(r - 312)*(r + 1)**2*(r + 3) Factor 237/4*s - 5/4*s**2 + 36. -(s - 48)*(5*s + 3)/4 Let j(v) be the third derivative of 33/20*v**5 + v**3 + 9/70*v**7 - 107*v**2 - 15/8*v**4 + 0*v + 0 - 29/40*v**6. Factor j(s). 3*(s - 1)**3*(9*s - 2) Solve 0 - 72/7*r**2 - 3/7*r**3 - 132/7*r = 0 for r. -22, -2, 0 Let f(i) be the third derivative of i**5/20 - 113*i**4/8 - 6978*i**2. Suppose f(l) = 0. Calculate l. 0, 113 Let k(j) = -j**3 - 6*j**2 - 7*j - 5. Let u be k(-5). Suppose -u*w = -3*c, -w + 3*w = -2*c. Factor 0*v + w*v - 3*v**5 + 12*v**4 - v**5 - 8*v**3. -4*v**3*(v - 2)*(v - 1) Let w(t) be the first derivative of t**4/2 + 24*t**3 - 39*t**2 - 148*t - 2198. Factor w(a). 2*(a - 2)*(a + 1)*(a + 37) Let h(k) = -2*k**3 - 6*k**2 + 7*k - 1. Let z be h(-4). Find w such that -54*w**2 + 8*w + 18*w**3 + 42*w**2 + 3*w**4 - 32*w - z*w**5 = 0. -2, -1, 0, 2 Suppose -2*d + h = -149, -74 = -4*d + 3*h + 225. Suppose 62*a - 112 = d. Determine x so that 72*x + 18*x**2 + 3/2*x**a + 96 = 0. -4 Factor 67 - 393 - 485*f - 5*f**3 - 250*f**2 + 86. -5*(f + 1)**2*(f + 48) Suppose 13*p + 1809 - 949 = 925. Let y(n) = -n + 1. Let o be y(1). Factor 6/13*z**3 + 0 + 0*z - 2/13*z**p + o*z**4 + 4/13*z**2. -2*z**2*(z - 2)*(z + 1)**2/13 Let n(w) be the first derivative of -w**5/180 - 11*w**4/72 + 2*w**3/3 - w**2 - 15*w - 56. Let m(s) be the second derivative of n(s). Factor m(v). -(v - 1)*(v + 12)/3 Suppose 3*f = -2*n + 60, -10639*f = 5*n - 10635*f - 87. Factor 254/5*x**2 - 20*x - 2*x**n + 0. -2*x*(x - 25)*(5*x - 2)/5 Let w(h) be the first derivative of -h**5/5 - 343*h**4/4 + 691*h**3/3 + 343*h**2/2 - 690*h + 7587. Let w(r) = 0. What is r? -345, -1, 1, 2 Let y(l) be the first derivative of 6/7*l**4 + 3/7*l**2 - 20/21*l**3 - 8
{ "pile_set_name": "DM Mathematics" }
+ r**2 + 3*r**2). r**5 Expand -4*p**4 - p**4 + 2*p**4 + (2 - 2 + 1)*(-p**4 + 0*p**4 - p**4) - 8*p**4 - 12*p**4 - 2*p**4. -27*p**4 Expand -17*v - 10*v + 3*v + (-3 - v + 3)*(-4 + 2 + 1) + 0*v + v - 2*v + (-1 - 3 + 2)*(1 - 1 - v). -22*v Expand (-49*v**3 + 16*v**3 + 23*v**3 + (3 - 6 + 1)*(-2*v**3 + 0*v**2 + 0*v**2))*(6*v**2 - 19*v**2 + 5*v**2). 48*v**5 Expand ((1 - 1 + 2)*(1 + 1 - 3) + 18 + 13 - 8)*(3 - 2 - 2)*(-z**3 - 2*z**3 + 5*z**3)*(1 + 1 - 6). 168*z**3 Expand (1 + 0 - 4)*(0 - 9 - 11)*(-18*p + 7*p - 10*p). -1260*p Expand (d**4 - 5 + 5)*(3*d - 184 - 21*d + 16*d). -2*d**5 - 184*d**4 Expand 0*c**2 - 2*c**2 + 4*c**2 + (6*c + 0*c - c)*(-c - c + 3*c) + 0 - 3*c**2 + 0 + 2*c - 2*c - 7*c**2. -3*c**2 Expand (1 - 5 + 1)*(7 - 2 + 0)*(3*d**4 + 7*d**4 - 2*d**4). -120*d**4 Expand (-10 + 10 - 11*a)*(-a + 4*a - 17*a). 154*a**2 Expand (3*b**2 + 4*b**2 - 5*b**2 + (2*b**2 - b**2 + 0*b**2)*(-1 - 4 + 4) + 11*b**2 + 39 - 2*b - 39)*(-2*b**2 + 0*b**2 - 3*b**2). -60*b**4 + 10*b**3 Expand 5*z - 5*z + 6*z + (1 - 4 + 2)*(-z + 4*z - 4*z) + 3*z - z + 2*z. 11*z Expand (-w + 2*w - 2*w)*(3*w + w - 3*w) + (-4 - 1 + 2)*(-w**2 + 3*w**2 + 0*w**2) + 16 - 16 + w**2. -6*w**2 Expand (0 + u + 1 - 2*u)*(-69*u - 38*u + 3*u). 104*u**2 - 104*u Expand (58*y - 43*y + 159*y)*(-3*y**2 + 3*y**2 + 2*y**2)*(1 + 0 + 0). 348*y**3 Expand ((-5 + 0 + 2)*(-4 - 3*b + 4) + 0*b - 3*b + 4*b)*(-6*b**2 - 5*b**2 - b**2) + (0*b - 3*b + b)*(-3 - b**2 + 3). -118*b**3 Expand -y + 0*y + 2*y + (y + 2*y - 4*y)*(3 - 6 + 4) + 4*y - 49 + 48 + 51*y. 55*y - 1 Expand (10*v**3 - v**3 - 2*v**3)*(2*v**2 + 0*v**2 - 3*v**2 + (-4 + 2*v + 4)*(-v + 2*v - 3*v) + 10*v**2 + 6*v**2 + 7*v**2). 126*v**5 Expand (-133*o**2 + 16 + 66*o**2 + 74*o**2)*(-2*o**2 + o**2 + 2*o**2). 7*o**4 + 16*o**2 Expand (-i + 0*i + 3*i)*(0*i + i - 3*i)*(2*i - 2*i + i)*((1 - 11 + 0)*(2 + 0 + 0) + 2 - 4 - 1). 92*i**3 Expand (-2 + 25*x + 0 + 1)*(5 - 5 - 2*x**2 + (-2*x + x + 3*x)*(x - 4*x + 2*x) + 2*x**2 - 3 + 3 + 0*x**2 + 2*x**2 - 3*x**2). -75*x**3 + 3*x**2 Expand -2*l - 1 + 1 + (0 + 0 - 2)*(0*l - 2*l + 0*l) + 0*l + 3*l - 4*l + (-2 - 2 + 6)*(-5*l + l + 3*l) - 215*l + 494*l - 233*l. 45*l Expand (854 - 854 + 6*v)*(0 + 3 - 4)*(-2*v - 4*v + 5*v)*(v - 2*v + 2*v + (-v - v + 3*v)*(-2 + 1 - 1)). -6*v**3 Expand (t**2 - t**2 - 2*t**4)*((-1 + 4 - 1)*(-80 + 80 - 20*t) + 3*t - 4*t + 2*t + 5 - 5 + 2*t + (-5*t + 2*t + t)*(2 + 1 - 4) + t - 3 + 3 + 0*t + 4*t - 5*t). 70*t**5 Expand (2133*z**2 - 1060*z**2 - 922*z**2 + z)*(0*z + z + 2*z). 453*z**3 + 3*z**2 Expand (-1 + 3*i + 1)*(274*i**4 - 273*i**2 + 273*i**2). 822*i**5 Expand (o + 4*o - 3*o)*(9*o**2 + 2 - 4 - 2*o**2). 14*o**3 - 4*o Expand (-2*f - 4 + 4)*(99 + 25 + 212). -672*f Expand (12*a + 9*a**2 - 12*a)*(a + a - a + 3)*(-5*a + 6*a + a). 18*a**4 + 54*a**3 Expand -50*f + f + 4*f - 2*f + 2*f + 3*f - 3*f + 3*f - 2*f + (1 - 1 - 2)*(-4*f + 6*f - f). -46*f Expand (4 - 4 + b)*(-234 + 1925 - 996 + 1061 + 2562). 4318*b Expand (-6*j**2 + 2*j**2 + 2*j**2)*(j + 4*j - 2*j) - 183*j**3 + 138*j**3 + 80*j**3. 29*j**3 Expand (1 + 2*r**2 - 1)*(-5*r + 2*r + r) - 231*r - 4*r**3 + 231*r + 2*r**3 + 0*r**3 - 4*r**3 + (1 - 1 + r**2)*(-4*r + r + r) - 1 + 1 + r**3. -11*r**3 Expand (1420 - 3157 + 1390)*(-2*k**5 - 3*k**5 + 4*k**5). 347*k**5 Expand (-3*a**2 - a**4 + 3*a**2 + a)*(685 - 685 + 60*a). -60*a**5 + 60*a**2 Expand (4*t - 5*t + 3*t + (3*t - 2*t + 0*t)*(-2 - 3 + 1))*((2*t - 3*t + 2*t)*(-1 + 4 - 1) + 5*t + 3*t - 5*t + 2*t - t - 3*t). -6*t**2 Expand (-1 + b + 1)*(2 + b**4 - 2) + 11*b**2 - 6*b**2 - 4*b**5 - 7*b**2. -3*b**5 - 2*b**2 Expand -3*i**2 + 2*i**2 + 0*i**2 + (0 - 3 + 2)*(i - i + i**2) - 2*i**2 + 2*i**2 - 18 - i**2 - i**2 + 4*i**2 - i**2. -i**2 - 18 Expand (-2*r**2 + r**2 - r**2)*(2*r**3 + 0*r**3 + 0*r**3) + 13*r**4 - 13*r**4 + 3*r**5 + (4*r**4 + 0*r**4 - 3*r**4)*(-27*r + 58*r + 8*r). 38*r**5 Expand (2*m - 19 + 19)*(-2*m - 4*m + 5*m + (0*m - 2*m + 4*m)*(2 - 3 + 2)) - 14*m**2 + 8*m**2 + 9*m**2 + (2 + m - 2)*(-3*m + m + m). 4*m**2 Expand 760*a**3 - 3*a**2 - 764*a**3 + 2*a**2 - a**3 + 4*a**3 - a**3 - a**3 + 2*a**2 - 2*a**2 + (2*a**2 - a**2 + 0*a**2)*(a + a + 0*a). -a**3 - a**2 Expand (3 - 3*r - 3)*(0*r**2 + 3*r**2 - 7*r**2) - 2 - r**3 + 2 + (-4*r**2 + r**2 + 0*r**2)*(-r - 1 + 1). 14*r**3 Expand -2*j - 7*j**2 + 2*j + 2*j**2 - 6*j**2 + j**2 + (10*j + 9 - 9)*(2*j + 0 + 0) + (j**2 + 0*j**2 + 2*j**2)*(1 + 2 - 4) - j + j**2 + j. 8*j**2 Expand (-10 + 13 + 27 + 3 + 4 - 5 + (3 - 4 + 0)*(0 - 3 + 4))*(-2*y**4 + 0*y**4 + 0*y**4). -62*y**4 Expand (22 + 11 - 29)*(138 - 138 - 10*m). -40*m Expand (2 - 2 - y**2)*(-3*y + 2*y + 2*y) + (4 - 1 - 1)*(-y**3 - 173 - y + 176 + 17*y**3). 31*y**3 - 2*y + 6 Expand (23 + 25 - 56)*(0 + 3 - 1 + 3*f). -24*f - 16 Expand (-2*u + 0*u + u)*(-35 + 29 + 77) - 4*u + 4*u + u. -70*u Expand (26*l + 15 - 15)*(0*l + 0*l + l) + (l - 1 + 1)*(l + l - 4*l) + 0 + 0 + 6*l**2. 30*l**2 Expand -4 + 4*c**2 + 4 + (-4*c + 4*c - 3*c)*(-c + 4*c - 2*c) + 3*c + 2*c**2 - 3*c. 3*c**2 Expand (41 - 41 + 7*x)*(-2 + 5 + 2)*(-5 + 1 + 2). -70*x Expand (-3*d**2 + 4*d**2 + 3*d**2)*(153 - 13*d - 153). -52*d**3 Expand (-6 + 71 + 84)*(5 - 4 - 2)*(4*l**2 + 0*l**2 - l**2). -447*l**2 Expand (2*a - a - 2*a - 4*a + 0*a + 2*a + (-3 - 3 + 4)*(4*a - 2*a + 0*a))*(0*a**4 - 2*a**4 + 4*a**4) + 2*a**2 + 0*a**2 - 413*a**5 + 153*a**5. -274*a**5 + 2*a**2 Expand (307*h**2 - 2*h + 33*h**2 + 2*h)*(3*h**2 + h**2 - 3*h**2). 340*h**4 Expand (3*q**2 - 2*q**2 - 3*q**2)*(103*q**2 + 87*q**2 - 20*q**2). -340*q**4 Expand (-4*c**3 + 4*c**3 - 2*c**3)*(342*c**2 + 78*c**2 - 60*c**2). -720*c**5 Expand (-27 - 29 - 57)*(-b**3 - 2 + 2)*(3*b - 3*b + 2*b**2). 226*b**5 Expand (2*i**2 - 2*i**2 + 2*i**3)*(4*i - i - 2*i) + 2*i**4 + 3*i - 3*i + (-4*i**4 - 4 + 4)*(0 - 4 + 2). 12*i**4 Expand 0*i**2 + i**4 - 7*i**2 + 0*i**4 - 4*i**3 + 4*i**3 - 3*i**4 + (2 - 4 + 1)*(-2*i**4 + 0*i**4 - 2*i**4). 2*i**4 - 7*i**2 Expand (0 + 0 + 1)*(-13 - c + 0*c + 3*c). 2*c - 13 Expand (-9*c - c**3 + 9*c)*(10 + 9 - 2) + 2*c**3 - 2*c**3 + c**3. -16*c**3 Expand (92 + 36 - 26)*(-3*v**4 + 0*v**4 + 2*v**4)*(-2 + 5 - 1)*(1 - 4 + 1). 408*v**4 Expand (-q**2 - 2*q**2 + 2*q**2)*(-q**2 + 0*q**2 + 2*q**2) + (4*q**2 + 3*q**2 + 5*q**2)*(-378 + 81*q**2 + 378). 971*q**4 Expand (-5*t**3 + 9*t**4 + 5*t**3)*(9*t - t - 7*t) - 5*t**3 + 5*t**3 + 5*t**5. 14*t**5 Expand 2*z + 2*z - 3*z - 2 - 2*z + 2 + 3*z - 4*z + 2*z - 2*z - 2*z + 5*z + (-3 + 3 - z)*(-3 + 0 + 1) + 3*z + 3*z - 5*z + 4*z + 2*z - 4*z - 41*z - 17*z + 24*z. -28*z Expand (-6*z - 92 + 92)*(-4*z - 4*z + 4*z + (z + 2 - 2)*(-4 + 4 - 2) + z - 4*z + 5*z). 24*z**2 Expand ((0 + 0 - 2*i**2)*(-2*i**2 + i - i) - 3 + 3 + i**4)*(-51*i - 43*i + 79*i). -75*i**5 Expand 6*k**3 + 2*k**2 - 2*k**2 + (-3 + 3 - 1)*(23*k**3 + 23*k**3 - 14*k**3). -26*k**3 Expand (0 - 5 + 4)*(10*b**4 - 93*b**4 + 431*b**4). -348*b**4 Expand -3*k**2 - 11 + 11 + (k - k + 2*k**2)*(-1 - 1 + 0) - 4*k**2 + 3*k**2 + 2*k**2 + (-5 + k + 5)*(-2*k - k + 5*k). -4*k**2 Expand -2*o - o + o + (2 + 1 - 5)*(-2*o + 2*o - o) + 1 - 1 - o + 2*o - 8*o + 102 - 96. -7*o + 6 Expand -4*t**2 + t**2 + t**2 - 2*t**2 + 1 - 1 + (3*t + t - 2*t)*(1 - 1 - t) + (-3*t + 2*t + 2*t)*(4*t - 3 + 3) - 16 - 19*t**2 + 16. -21*t**2 Expand (-8*x + 6 - 6)*(0*x - 6*x + 4*x)*(0*x + 3*x - x). 32*x**3 Expand (-2*m + m + 3*m)*(-3 - 2 + 2)*(-132*m - 1 + 5 + 152*m). -120*m**2 - 24*m Expand 207*r**2 + 416*r**2 + 224*r**2 + (r + 0*r + r)*(-3*r + 5*r - r). 849*r**2 Expand (m**2 - 4*m + 4*m)*(-m**2 + 3*m**2 + 4*m**2)*(-13 + 4*m + 13 - 43*m). -234*m**5 Expand (2 - 2 + 1)*(0 - 2*g**2 + 0) - 1753 + 1753 + 125*g**2. 123*g**2 Expand (-x + x + 2*x**3)*(88*x - 9*x + 45*x) + (0*x**4 + 0*x**4 + x**4)*(-1 + 1 + 1) - x**4 - 2*x**4 + x**4. 247*x**4 Expand (-t**2 - 4*t**2 + 3*t**2)*(1840 + 1727 - 5307). 3480*t**2 Expand (-6*u**3 - 2*u - u**3 + 2*u**4 - 7*u**3)*(3 + 2 - 2)*(2 - 3 + 0). -6*u**4 + 42*u**3 + 6*u Expand (6*j - 2*j - 2*j)*(1 - 2 + 2) + (82 + 60 + 63)*(2*j - 3*j + 3*j). 412*j Expand ((-2 + 4 - 4)*(1 - 2 + 3) + 2 - 3 - 2)*(9*w + 10*w + 2*w). -147*w Expand -2 - d**5 + 5 - 1 + 4*d**5 - 2*d**5 - d**5 + (-2*d**2 - 2*d**3 + 2*d**2)*(2*d**2 - d**2 + 0*d**2) - 8609 + 8609 - 53*d**5. -55*d**5 + 2 Expand -5*x + 4*x - 4*x + 2 - 2 - x + (-1 + 0 - 1)*(-3*x + 2*x + 0*x) - x + x - 2*x - 5*x - x + 2 - 4. -12*x - 2 Expand (-d**3 - 5*d**2 + 5*d**2)*(3*d**2 - 4*d**2 - d**2 + (d - d + d)*(-4*d - d - 4*d)). 11*d**5 E
{ "pile_set_name": "DM Mathematics" }
ters in nanometers? 57119330000000 Convert 4.80443 micrograms to milligrams. 0.00480443 How many decades are there in 55635.7 centuries? 556357 What is one tenth of a kilometer in centimeters? 10000 How many millilitres are there in fourty-eight fifths of a litre? 9600 How many centuries are there in 15747.477 months? 13.1228975 What is 422915.1ng in milligrams? 0.4229151 How many nanograms are there in eleven quarters of a microgram? 2750 What is 758019.5 decades in centuries? 75801.95 What is 8.813234 nanograms in grams? 0.000000008813234 How many nanometers are there in 3/40 of a millimeter? 75000 What is 684112.6 nanometers in kilometers? 0.0000006841126 How many centuries are there in 32/5 of a millennium? 64 How many micrograms are there in 247.3272 grams? 247327200 What is 3/25 of a kilometer in centimeters? 12000 How many grams are there in 678.1008 nanograms? 0.0000006781008 What is 57/5 of a microgram in nanograms? 11400 What is 1.28436 years in centuries? 0.0128436 How many nanograms are there in twenty-five quarters of a microgram? 6250 What is 586.2775ug in milligrams? 0.5862775 How many tonnes are there in 0.3970052ng? 0.0000000000000003970052 What is three fifths of a century in months? 720 What is seven eighths of a decade in months? 105 What is thirty-seven fifths of a tonne in kilograms? 7400 What is 6/25 of a millennium in months? 2880 What is 0.258184 millimeters in micrometers? 258.184 How many kilograms are there in 45/2 of a tonne? 22500 What is one twentieth of a week in seconds? 30240 What is 3/40 of a kilometer in centimeters? 7500 How many months are there in 33/5 of a millennium? 79200 Convert 805.8827 nanograms to grams. 0.0000008058827 What is 4047.595mg in tonnes? 0.000004047595 How many kilometers are there in 0.0183172 nanometers? 0.0000000000000183172 What is 1/20 of a litre in millilitres? 50 Convert 23853.61 days to seconds. 2060951904 How many kilograms are there in 7534.083t? 7534083 How many milligrams are there in 3/25 of a gram? 120 What is 45/2 of a tonne in kilograms? 22500 What is three fifths of a litre in millilitres? 600 What is thirty-one fifths of a week in minutes? 62496 What is four fifteenths of a minute in seconds? 16 What is 28/3 of a week in minutes? 94080 How many millilitres are there in twenty-five halves of a litre? 12500 How many millilitres are there in one fifth of a litre? 200 How many millilitres are there in fourty-three halves of a litre? 21500 What is seventeen halves of a centimeter in millimeters? 85 What is 1/5 of a litre in millilitres? 200 What is 1/20 of a microgram in nanograms? 50 Convert 8.377882 decades to months. 1005.34584 Convert 87080.6l to millilitres. 87080600 Convert 141009.21 months to millennia. 11.7507675 What is 6/5 of a decade in years? 12 How many hours are there in 8/3 of a day? 64 What is 10026.03 hours in days? 417.75125 How many millennia are there in 183.72624 months? 0.01531052 What is 8680.596ml in litres? 8.680596 What is sixty-four fifths of a millennium in centuries? 128 What is 35.25629 centuries in millennia? 3.525629 How many micrometers are there in 32/5 of a millimeter? 6400 What is 31/2 of a day in minutes? 22320 Convert 1242.870993us to weeks. 0.0000000020550115625 Convert 89.68124 millilitres to litres. 0.08968124 How many months are there in 7847.042 millennia? 94164504 Convert 874.242 weeks to seconds. 528741561.6 How many millimeters are there in 0.3443582 meters? 344.3582 How many nanometers are there in 21/5 of a micrometer? 4200 What is eighteen fifths of a hour in minutes? 216 Convert 0.1830655l to millilitres. 183.0655 What is three tenths of a litre in millilitres? 300 What is 8/25 of a kilometer in centimeters? 32000 What is 11/10 of a hour in seconds? 3960 Convert 0.184271 milligrams to grams. 0.000184271 How many millilitres are there in 5298.24 litres? 5298240 How many grams are there in 59/5 of a kilogram? 11800 What is 877077.3 nanometers in meters? 0.0008770773 How many micrometers are there in 6.019281km? 6019281000 What is 74/5 of a centimeter in millimeters? 148 What is 289.92429 months in millennia? 0.0241603575 How many decades are there in 51/2 of a millennium? 2550 Convert 9.096791ug to grams. 0.000009096791 How many kilograms are there in 5.495119 nanograms? 0.000000000005495119 How many litres are there in 21.50095 millilitres? 0.02150095 What is 3/28 of a week in minutes? 1080 What is 37/5 of a gram in milligrams? 7400 What is 0.0965053l in millilitres? 96.5053 How many micrometers are there in 42/5 of a millimeter? 8400 What is 11/2 of a litre in millilitres? 5500 How many millilitres are there in seven halves of a litre? 3500 What is 31/2 of a millennium in years? 15500 Convert 4482.663s to nanoseconds. 4482663000000 What is 11/4 of a litre in millilitres? 2750 How many months are there in three fifths of a decade? 72 What is 1/4 of a litre in millilitres? 250 What is 13/4 of a day in hours? 78 How many seconds are there in 277.226 weeks? 167666284.8 How many kilograms are there in 122319.5ng? 0.0000001223195 What is 4.832218g in micrograms? 4832218 What is seven quarters of a millimeter in micrometers? 1750 How many millilitres are there in 0.9355781l? 935.5781 How many months are there in 1/6 of a decade? 20 What is 0.8514524 decades in centuries? 0.08514524 What is 1/4 of a milligram in micrograms? 250 How many milligrams are there in one twentieth of a kilogram? 50000 What is 0.310584nm in meters? 0.000000000310584 What is 992305.4l in millilitres? 992305400 Convert 3651.58 minutes to nanoseconds. 219094800000000 How many months are there in 7/3 of a decade? 280 Convert 11.19051 litres to millilitres. 11190.51 Convert 51616.03ml to litres. 51.61603 How many nanograms are there in 1/20 of a milligram? 50000 What is 84.57431mg in micrograms? 84574.31 How many kilograms are there in 4003.969 nanograms? 0.000000004003969 Convert 4071.162 meters to micrometers. 4071162000 How many milligrams are there in 13/4 of a gram? 3250 How many seconds are there in 4/75 of a hour? 192 How many kilometers are there in 8900.122 centimeters? 0.08900122 What is sixty-seven quarters of a tonne in kilograms? 16750 What is 27/4 of a litre in millilitres? 6750 What is 1/5 of a micrometer in nanometers? 200 How many millilitres are there in 90.30695 litres? 90306.95 What is fifty-two fifths of a tonne in kilograms? 10400 What is 18/5 of a millennium in decades? 360 What is 230.8406 minutes in microseconds? 13850436000 What is 7725.88ml in litres? 7.72588 What is 0.541714 litres in millilitres? 541.714 How many seconds are there in 3/16 of a day? 16200 What is 21975.96 litres in millilitres? 21975960 How many tonnes are there in 62188.56 grams? 0.06218856 How many microseconds are there in 19/4 of a millisecond? 4750 Convert 580.507ng to micrograms. 0.580507 How many millilitres are there in twenty-three eighths of a litre? 2875 Convert 40.32286 litres to millilitres. 40322.86 How many milligrams are there in 321.2393 tonnes? 321239300000 What is 21/2 of a litre in millilitres? 10500 How many kilometers are there in 869110.1 millimeters? 0.8691101 What is 988152.1l in millilitres? 988152100 Convert 0.6425844 millilitres to litres. 0.0006425844 How many nanometers are there in fifteen quarters of a micrometer? 3750 How many milliseconds are there in 1/4 of a minute? 15000 How many milliseconds are there in twenty-nine fifths of a second? 5800 How many hours are there in 10.838799 milliseconds? 0.0000030107775 How many nanoseconds are there in 485852.5s? 485852500000000 What is sixty-one halves of a milligram in micrograms? 30500 Convert 67647.63 litres to millilitres. 67647630 How many grams are there in 56.303 micrograms? 0.000056303 How many hours are there in 5650609.5s? 1569.61375 How many decades are there in 188553.57 months? 1571.27975 How many millilitres are there in 963953.8 litres? 963953800 What is 15/4 of a gram in milligrams? 3750 What is 28.4188 weeks in minutes? 286461.504 How many years are there in 467.7653 decades? 4677.653 What is 43/4 of a kilometer in meters? 10750 Convert 700107.5ml to litres. 700.1075 How many millilitres are there in 3/25 of a litre? 120 How many micrograms are there in 21/4 of a millig
{ "pile_set_name": "DM Mathematics" }
of w(x). Let a(p) = 3*p. Determine 6*a(m) - 4*u(m). 2*m Let m(d) be the third derivative of -d**4/12 + 5*d**3/3 + 4*d**2 + 5. Let g(u) = -u + 4. Determine 12*g(b) - 5*m(b). -2*b - 2 Suppose -23*h = -20*h + 42. Let p(d) = -3*d**2 + 2*d + 3. Let c be (-2)/9 + 68/(-18). Let l(n) = -4 - 9 + 10*n**2 - 7*n + 3. Calculate c*l(b) + h*p(b). 2*b**2 - 2 Let n(r) = -r + 3. Let j(y) be the third derivative of y**4/12 - 7*y**3/6 + 3*y**2. Calculate -6*j(i) - 14*n(i). 2*i Let n(i) = i**2 + i + 1. Let q(m) = 36*m**2 + 33*m + 33. Calculate -132*n(c) + 4*q(c). 12*c**2 Let d(x) = -x. Let n(v) = -40*v - 2. Determine 4*d(h) + n(h). -44*h - 2 Let j = 67 + -100. Let i(b) = -63*b - 33. Let r(u) = -4*u - 2. Determine j*r(c) + 2*i(c). 6*c Let r(g) be the second derivative of g**4/12 - 3*g. Let c(x) = -6*x**2 + 46 - 46 + x**3 - x. Determine -c(y) - 6*r(y). -y**3 + y Let n(d) = 5*d - 2. Let s(q) = 14*q - 6. Let w(z) = -z. Let x be w(-6). What is x*s(t) - 17*n(t)? -t - 2 Let m(q) = 2*q**3 - 4*q**2 - 5*q - 3. Let d(l) = -3*l**3 + 7*l**2 + 9*l + 5. Determine 4*d(g) + 7*m(g). 2*g**3 + g - 1 Let o(z) = 16*z + 10. Let j(c) = 5*c + 3. What is -20*j(g) + 6*o(g)? -4*g Let b(c) = -8*c**3 - 11*c**2 + 26*c + 11. Let w(j) = 3*j**3 + 4*j**2 - 9*j - 4. Determine 4*b(a) + 11*w(a). a**3 + 5*a Let x(c) = -3 + 0 - 4*c + c - 5*c. Let r(a) = 3*a + 1. Determine 11*r(i) + 4*x(i). i - 1 Let b(d) = -9*d**2 - 2*d - 4. Let j(a) = a - 22 - 5*a**2 - 2*a + 20. Calculate -3*b(x) + 5*j(x). 2*x**2 + x + 2 Let w(l) = -3*l**2 + l - 4. Suppose 0 = -4*z + 1 - 21. Let n(b) = -7*b**2 + 3*b - 9. What is z*w(x) + 2*n(x)? x**2 + x + 2 Let q(m) = 2*m**2 + 2. Let i(a) = 3*a**2 + 1. Give -3*i(g) + 2*q(g). -5*g**2 + 1 Let m be 2*5 - (-3 + 5). Let j(l) = -6*l + 9*l**2 + 2*l - 2*l**2. Let k(d) = -11*d**2 + 6*d. Let x = 10 - 5. Give m*j(v) + x*k(v). v**2 - 2*v Let w(z) = z**2 - z + 1. Let f(n) = -n**2 + 2*n + 12. Let y be f(5). Let x(r) = -r**3 - r**2 + r - 1. What is y*w(o) - 3*x(o)? 3*o**3 Let b(y) = -y**3 - 2*y**2 + 3. Let j(p) be the first derivative of 2 + 1/4*p**4 + 0*p**2 - p + 0*p**3. Calculate -b(h) - 3*j(h). -2*h**3 + 2*h**2 Let q(r) = 3 - r - 3. Suppose 2*m + 3 = 7. Let s be (2 + m)/(2/4). Let n(t) = 2*t**2 - 8*t. Calculate s*q(w) - n(w). -2*w**2 Let c(r) = r - 4. Let p(x) = -x + 4. Give -4*c(i) - 3*p(i). -i + 4 Let z(w) = 3*w**3 + 8*w**2 + 4*w - 4. Let j(v) = -v**2 - v + 1. What is 4*j(i) + z(i)? 3*i**3 + 4*i**2 Suppose -3*m + m - 10 = 0. Let b(f) = 2*f + 1. Let x(l) = -4*l - 1. Let p(t) = t - 1. Let w(q) = -p(q) - x(q). Calculate m*b(j) + 4*w(j). 2*j + 3 Let s(v) = -13*v**2 - 4. Let x(n) = -105*n**2 - 33. What is 33*s(h) - 4*x(h)? -9*h**2 Let b(m) = 6*m**3 + 2*m**2 + 6*m. Let d = 15 - 11. Let z(p) = p**3 - 2*p**2 - 2*p + 3. Let i(w) = w**2 + w - 1. Let n(s) = 3*i(s) + z(s). What is d*n(h) - b(h)? -2*h**3 + 2*h**2 - 2*h Let b(d) = 2*d + 2. Let m(l) = l**2 + 10*l - 21. Let v be m(-12). Let n(i) = i + 3. Calculate v*b(o) - 2*n(o). 4*o Suppose 3*z + 53 = 2*u, z + 3 = -u - 13. Let f(p) = 7*p**3 - 6*p**2 - 6*p + 7. Let r(q) = 20*q**3 - 17*q**2 - 17*q + 20. What is z*f(v) + 6*r(v)? v**3 + 1 Let m(v) = v**3 + 2*v + 5. Let j(p) = p + 3. What is -5*j(a) + 3*m(a)? 3*a**3 + a Suppose 0 = -4*t - 20, 34 = u + 4*t - 9*t. Let y(q) = 3*q + 4. Let l(p) be the second derivative of -7*p**3/6 - 9*p**2/2 + p. What is u*y(i) + 4*l(i)? -i Let c(j) = 5*j**2 + j. Let g(s) = -s**2 - 14*s - 15. Let d be g(-12). Let t(p) = -p**2. Determine d*t(y) + 2*c(y). y**2 + 2*y Let c(n) = -6*n. Let h(d) = -d - d + 0*d. Let a(i) = -2*i**3 + i**2 + i. Let t be a(2). Let s = -114 - -117. Determine s*c(w) + t*h(w). 2*w Let k(d) = -11*d**2 - d. Let r(w) = 11*w**2 + 2*w. Give 3*k(f) + 2*r(f). -11*f**2 + f Let y(p) = p + 1. Let x(i) = -12*i - 10. Determine 4*x(g) + 40*y(g). -8*g Let a(y) = 6*y**3 + 5*y**2 - 5*y + 2. Let o(n) = 6*n**3 + 4*n**2 - 4*n + 2. What is 4*a(j) - 5*o(j)? -6*j**3 - 2 Let n(c) = 2*c**2 - 3*c - 1. Let y(d) = 2*d**2 - 4*d - 1. Suppose -16 - 20 = 6*z. Determine z*n(t) + 5*y(t). -2*t**2 - 2*t + 1 Let l be (-18)/(-4)*(-2)/3. Let s(o) = -2*o**3 - 8*o**2 - 8. Let n(p) = -p**3 - 3*p**2 - 3. Let k = 20 + -12. Determine k*n(u) + l*s(u). -2*u**3 Let x(j) = -j**3 + 5*j + 5. Let w(o) be the second derivative of o**5/20 - o**3 - 3*o**2 - 2*o. Calculate -5*w(m) - 6*x(m). m**3 Let w(v) = -9*v - 7. Let p(n) be the second derivative of 3*n + 0 + 3*n**2 + 4/3*n**3. Determine 7*p(c) + 6*w(c). 2*c Let t(u) = -34*u**2 - 4*u. Let s(p) = -p. Determine -4*s(c) + t(c). -34*c**2 Let z(v) = v**2 - 2*v + 4. Let l(g) = 3*g**2 - 4*g + 9. Give -2*l(t) + 5*z(t). -t**2 - 2*t + 2 Let y(n) = n. Let k(s) = 2*s**3 - 5*s - 16. Calculate -k(q) - 4*y(q). -2*q**3 + q + 16 Let b(z) = 15*z + 9. Let i(v) = 2*v - 27. Let k be i(8). Let y(u) = -8*u - 5. Calculate k*y(r) - 6*b(r). -2*r + 1 Suppose -5*f + 2*f = -4*r - 22, 5*f = -4*r - 6. Let o(u) = 7 - f*u - 6 + u. Let i(n) = 1. What is i(l) - o(l)? l Let a(s) = -4*s + 3*s - 3 + 2. Let y(f) = -f**2 - 5*f - 5. Let x = 3 + -5. Let g be (12 - (-1 - -2))/1. Give g*a(l) + x*y(l). 2*l**2 - l - 1 Let r(j) = -3*j**3 + 9*j**2 + 9*j - 9. Let a(h) be the first derivative of h**4/4 - 2*h**3/3 - h**2 + 2*h - 9. Determine -9*a(s) - 2*r(s). -3*s**3 Let f(i) = i. Let r(u) be the second derivative of 2*u**3/3 - 4*u - 8. Determine 28*f(l) - 6*r(l). 4*l Suppose 3*q = 4*j - 6, 0*j + 5 = -j + 4*q. Suppose -3*n + j + 3 = 0. Let t(v) = 4*v**2 - 3*v - 4. Let c(x) = x**2 - x - 1. Determine n*t(m) - 6*c(m). 2*m**2 - 2 Let x(g) = 7*g**2 + 13*g - 2. Let n(a) = -4*a**2 - 7*a + 1. Let v = 13 - 9. Suppose -s = -v*s - 18. Give s*x(l) - 11*n(l). 2*l**2 - l + 1 Let j(h) = 2*h**2 + 9*h + 5. Let y(l) = 2*l**2 - 5*l - 3. Let o be y(4). Let w be 3*1/(o/(-6)). Let z(d) = -d**2 - 4*d - 2. Give w*j(f) - 5*z(f). f**2 + 2*f Let c(w) be the first derivative of 5*w**2 - 13*w + 4. Let v(a) = 11*a - 13. Let l(o) = 5*o - 6. Let h(x) = 5*l(x) - 2*v(x). Determine -2*c(b) + 7*h(b). b - 2 Let o(v) = 11*v**3 - 8*v**2 + 6*v + 8. Let z(x) = -4*x**3 + 3*x**2 - 2*x - 3. Determine -3*o(f) - 8*z(f). -f**3 - 2*f Let d be (-2 - (-10)/8)*-4. Let m(l) = -l**2 + 5*l. Suppose -26 = -5*a + 9. Let s(o) = 2*o**2 - 11*o. Determine a*m(p) + d*s(p). -p**2 + 2*p Let j(w) = -33*w - 4. Let a(r) = -296*r - 37. Give 4*a(f) - 37*j(f). 37*f Let i(a) = -a - 1. Let s(h) = 0 + 4*h + 1 + 2. What is -3*i(m) - s(m)? -m Suppose -8*c - 4 + 12 = 0. Let r(m) = 1. Let a(h) = h + 6. Determine c*a(k) - 3*r(k). k + 3 Let u(s) = s**2 - s + 1. Let d(i) = -2*i + 1. What is d(c) - u(c)? -c**2 - c Let o(x) = -59*x**3 - 8*x**2. Let s(k) = -39*k**3 - 5*k**2. What is 5*o(y) - 8*s(y)? 17*y**3 Let y(b) = b. Let m(s) = 11 + s**2 + 5*s**2 - 5*s + s - s**2 + s**3. Let o be m(-6). Let p(t) = 6*t + 2. Calculate o*p(w) + 4*y(w). -2*w - 2 Let i(t) = -4*t**2 - 9*t - 9. Let r = 53 - 37. Suppose -l - 5*w + 6 = -r, -2*l + 16 = 3*w. Let o(k) = -k**2 - 2*k - 2. Determine l*i(s) - 9*o(s). s**2 Let f = -136 + 133. Let c(y) = y + 1. Let z(i) be the third derivative of -i**3/6 + i**2. Calculate f*z(q) - c(q). -q + 2 Let h(j) = 7*j. Let q(d) = -d - 2. Calculate h(w) + 4*q(w). 3*w - 8 Let d(w) = -4*w**3 + 4. Let a(f) = -1. Let g be 1*(5 + -2) + -4. What is g*d(o) - 4*a(o)? 4*o**3 Let o = 8 - 12. Let x = o + 2. Let i(s) = -s**2 + s - 1. Let m(c) = -c**2 + 2*c - 2. Determine x*i(d) + m(d). d**2 Let q be (3 + 0 + 3)/(-1). Let j be (-12)/8*(-4)/q. Let t = j + 2. Let a(h) = 7*h**3 - 6*h**2 + 4*h. Let f(n) = n**3 - n**2 + n. Calculate t*a(x) - 6*f(x). x**3 - 2*x Let q(i) = -4*i. Let z(s) be the second derivative of -5*s**3/6 - s**2/2 - 2*s. Give -4*q(v) + 3*z(v). v - 3 Let s(b) = -b**2 + 8*b - 2. Let n be s(6). Let o(j) = -n + j + 12 - 3*j - j. Let f(a) = -a + 1. Determine -10*f(v) + 4*o(v). -2*v - 2 Let h(f) = f + 7. Let i(u) = 3*u + 15. Give -5*h(g) + 2*i(g). g - 5 Let g(n) = -64*n + 22. Let y(b) = 9*b - 3. Give 6*g(f) + 44*y(f). 12*f Let b(a) = 2*a**2. Let t(j) = -7*j**2 - 2*j + 2. Let c(o) = -3*b(o) - t(o). Let q(x) = 3*x**2 + 5*x - 4. What is 7*c(m) - 3*q(m)? -2*m**2 - m - 2 Let f(w) = -13*w**2 + 2*w - 5. Let a(c) = 1. What is -3*a(i) - f(i)? 13*i**2 - 2*i + 2 Let u = 1 + -5. Let n(o) = -3*o**2 - 5*o + 1. Suppose 4*l = z + 1, 5*z - 11*l - 52 = -10*l. Let b(p) = -8*p**2 - 14*p + 3. Calculate u*b(x) + z*n(x). -x**2 + x - 1 Let s(t) be the first
{ "pile_set_name": "DM Mathematics" }
+ 7870*f**2 - 5 - 39298*f**2 + 4. -31428*f**2 - 1 Collect the terms in 14*p + 20*p - 925 - 47*p + p + 13*p. p - 925 Collect the terms in -98*t + 187*t**3 - 1186*t**2 - 188*t**3 + 36*t - 1185*t**2 + 2371*t**2. -t**3 - 62*t Collect the terms in 10207*u**2 + 2 - 342*u**2 - 4 + u**3 + 2. u**3 + 9865*u**2 Collect the terms in 34*v**2 - 119*v**2 + 27 + 90*v**2. 5*v**2 + 27 Collect the terms in 420*q**2 - 140*q**2 - 193*q**2 - 64*q**2 - 49*q**2. -26*q**2 Collect the terms in 0*p**2 + 4*p**2 - 1171*p**3 + 2*p**2 + p**2 + 1173*p**3. 2*p**3 + 7*p**2 Collect the terms in -1126 - 50*d**3 + 1912 - 294*d**3. -344*d**3 + 786 Collect the terms in -2 - 357*j + 176*j**2 + 1097*j + 5 - 364*j - 373*j. 176*j**2 + 3*j + 3 Collect the terms in 643*k**2 + 1 - 2540*k**2 + 647*k**2 + 602*k**2 - 1 + 645*k**2. -3*k**2 Collect the terms in 15188*t - 309*t - 8388*t + 3 - 3. 6491*t Collect the terms in -177*i - 6845*i + 3514*i + 3511*i. 3*i Collect the terms in -15*i**2 - 23*i**2 - 28*i**2 + 77*i**2 - 15*i**2 - 51*i**2. -55*i**2 Collect the terms in -16804 + 5462*f - 16810 + 33615. 5462*f + 1 Collect the terms in 6587835*t - 1444477*t - 4 + 4. 5143358*t Collect the terms in 46*t - 42*t + 144*t**3 - 395 + 4*t**2 + 395. 144*t**3 + 4*t**2 + 4*t Collect the terms in -104416*v - 104398*v + 12*v**3 + 208814*v + 16*v**3. 28*v**3 Collect the terms in 488*g + 589*g - 1552*g + 475*g - g**2 - 4*g**2. -5*g**2 Collect the terms in -3972*w**2 + 1 - 3996*w**2 + 7923*w**2 - 1. -45*w**2 Collect the terms in 78*v**2 + 46*v**2 - 187*v**2 + 42*v**2. -21*v**2 Collect the terms in -1249781*c + 2499522*c - 1249750*c. -9*c Collect the terms in -14208*q + 3000*q + 3731*q + 3750*q + 3730*q. 3*q Collect the terms in -4*z - 6*z + 8*z + 27236*z**2 + 2*z. 27236*z**2 Collect the terms in -8*u**2 + u**2 + 20081*u - 20021*u. -7*u**2 + 60*u Collect the terms in 83*d**3 - 268*d**3 + 61*d**3 + 62*d**3 + 58*d**3. -4*d**3 Collect the terms in 42784*q - 2180*q**2 + 9 - 21391*q - 21393*q - 9. -2180*q**2 Collect the terms in 207*r**2 - 207*r**2 + 1262*r**3 + 1320*r**3 - 2575*r**3. 7*r**3 Collect the terms in -473*j - 1871*j + 1831*j + 6601*j + 5517*j. 11605*j Collect the terms in 2 - 208*r + 758*r - 2 - 275*r - 257*r. 18*r Collect the terms in 4571*q**2 + 2*q - 410*q**3 + 4570*q**2 + 4572*q**2 + 4573*q**2 - 18287*q**2. -410*q**3 - q**2 + 2*q Collect the terms in -49*h**2 - 65*h**2 - 3642*h**3 - 58*h**2 + 172*h**2. -3642*h**3 Collect the terms in 11106*h**2 - 10346*h**2 + 1397*h - 1397*h. 760*h**2 Collect the terms in 493*z - 126*z**2 + 6 - 246*z - 247*z + 35*z**2. -91*z**2 + 6 Collect the terms in 3346*t - 589*t - 2748*t. 9*t Collect the terms in 907*t**3 + 1106 + 800004*t**2 - 905*t**3 - 800004*t**2 - 1106. 2*t**3 Collect the terms in 12*k - 20*k + k + 19*k - 36*k. -24*k Collect the terms in 553*y + 559*y + 556*y - 1671*y - 3933. -3*y - 3933 Collect the terms in -123511 - 123511 + 247022 + 191*l**2. 191*l**2 Collect the terms in -1479 - 3*m**2 + 3*m**2 + 2581 - 1321 + m**2. m**2 - 219 Collect the terms in -2545406*c**2 + 2545406*c**2 + 2*c**3. 2*c**3 Collect the terms in 150*x**2 - 3486*x - 14*x**2 + 106*x**2 - 24*x**2. 218*x**2 - 3486*x Collect the terms in -4149*j - 4155*j + 85*j**2 + 9 + 12450*j - 4144*j + 2. 85*j**2 + 2*j + 11 Collect the terms in 24*r**2 - 14*r**2 + 24*r**2 + 20*r**2 + 18*r**2 - 87*r**2. -15*r**2 Collect the terms in -k**2 + 138*k - 288*k + 123*k**2. 122*k**2 - 150*k Collect the terms in 26*o**3 - 11*o - 27*o**3 - 2*o - 48*o**3 - 123*o**3. -172*o**3 - 13*o Collect the terms in 37*w**3 - 90520*w**2 + 30183*w**2 + 30177*w**2 + 46*w**3 + 30160*w**2. 83*w**3 Collect the terms in -1975177 + 6*m**2 - 1975169 + 3950346. 6*m**2 Collect the terms in -9108*u**2 + 10285*u**2 - 1179*u**2. -2*u**2 Collect the terms in -32 - 3*t**3 + 23*t**2 - 463*t + 62 - 28 + 154*t. -3*t**3 + 23*t**2 - 309*t + 2 Collect the terms in 6064*p + 7484*p + 2 - 2435*p + 917*p + 0. 12030*p + 2 Collect the terms in 44*n**2 + 3*n**3 + 566*n**2 - 3 + 306*n**2 + 3. 3*n**3 + 916*n**2 Collect the terms in -163793 + 163831 + 8*z - 6*z. 2*z + 38 Collect the terms in -15727901*u + 4 - 4. -15727901*u Collect the terms in 217781*s**2 + 219036*s**2 - 436827*s**2. -10*s**2 Collect the terms in 11 - 2 - 5 - 5 + 215926*o**3 - 215928*o**3 + 1. -2*o**3 Collect the terms in -44*r + 5 + 155*r - 5 + 3 - 28*r. 83*r + 3 Collect the terms in -155 + 130 - 184 - 342 - 123 + b. b - 674 Collect the terms in -46328 + 9256 + 9264 + 9247 - 3*i**2 + 9311 + 0*i**2 + 9250. -3*i**2 Collect the terms in -23*i - 14771*i - 20781*i - 13335*i. -48910*i Collect the terms in 3327*o + 11 - 3327*o + 5 + 25*o**2. 25*o**2 + 16 Collect the terms in 59*d + 445*d - 67*d + 277*d + 156*d + 272*d. 1142*d Collect the terms in 2272*s - 3586*s - 1 + 2526*s. 1212*s - 1 Collect the terms in -290*c**3 + 687*c**3 + 3*c**3. 400*c**3 Collect the terms in 2 - 6*x + 9 + 26 - 8 - 6. -6*x + 23 Collect the terms in 923*c - 465*c - 458*c - 2904*c**2 + 12539*c**2. 9635*c**2 Collect the terms in 386907*q**2 + 0*q + 0*q. 386907*q**2 Collect the terms in 838*p**2 + 2127*p**2 - 17370*p**2. -14405*p**2 Collect the terms in 761*a - 2661*a + 1961*a. 61*a Collect the terms in 17450*v - 35928*v + 1 + 18477*v + 1 - 2. -v Collect the terms in 1 - 428*y - 5 - 3 + 3 + 3. -428*y - 1 Collect the terms in 6509*w**2 + 13 + 2 - 6516*w**2 - 6. -7*w**2 + 9 Collect the terms in -319*f - 318*f + 639*f + 209*f**3 - 3*f**3 - 24*f**2. 206*f**3 - 24*f**2 + 2*f Collect the terms in 10*x + 124986032 - 124986032. 10*x Collect the terms in -195*q + 56551 - 28773 + 58*q + 31165. -137*q + 58943 Collect the terms in 5868 + 13*s**3 - 5868 + 345*s**3 + 24*s**2. 358*s**3 + 24*s**2 Collect the terms in 982298*k**2 - 22*k + 22*k - 982285*k**2. 13*k**2 Collect the terms in -123739 - 82*k + 81*k + 223*k**2 + 123739. 223*k**2 - k Collect the terms in -36*l**3 + 155*l**3 + 331*l**3 + 62*l**3 + 8*l**3. 520*l**3 Collect the terms in 12858776752 + 5*g**2 - 12858776752. 5*g**2 Collect the terms in 883442*d + 883352*d - 1766794*d + 2*d**2 - 6*d**2. -4*d**2 Collect the terms in -15384 + 15384 - i**2 + 6*i**3 - 155*i**3. -149*i**3 - i**2 Collect the terms in 602*q - 108*q - 107*q - 108*q - 171*q - 115*q. -7*q Collect the terms in 523*o**2 - 1152 + 3464 - 1160 - 1152 - 491*o**2. 32*o**2 Collect the terms in 1054*d - 5256*d + 1067*d + 1047*d + 1044*d + 1051*d. 7*d Collect the terms in -7*w - w**3 + 34*w + 212 - 27*w - 114 - 98. -w**3 Collect the terms in 51*f**2 + 12*f - 8 - 3*f + 20*f**2 - 15*f**2 - 8*f. 56*f**2 + f - 8 Collect the terms in -34644*j**2 - 110191*j**2 - 25392*j**2. -170227*j**2 Collect the terms in -31 + 12 + 15 + 268*w - 549*w + 265*w + 4. -16*w Collect the terms in -21160751*i**2 + 7 + 21160751*i**2 - 7 + 5*i**3. 5*i**3 Collect the terms in -1 - 140*i**2 + 56*i**2 + 18*i**2 - 121*i**2. -187*i**2 - 1 Collect the terms in -6*d**2 + 13*d**2 + 106897*d - 3 - 5*d**2. 2*d**2 + 106897*d - 3 Collect the terms in -146*y**2 + 31*y**2 + 32*y**2 + 5*y**3 - 55*y + 45*y**2 + 36*y**2. 5*y**3 - 2*y**2 - 55*y Collect the terms in 2196*k**2 + 2193*k**2 - 5*k**3 + 30*k**3 + 2199*k**2 - 6592*k**2 - 5*k**3. 20*k**3 - 4*k**2 Collect the terms in -618*j**3 + 47*j**3 + 271*j**3. -300*j**3 Collect the terms in -24846*b - b**2 + 24846*b + 5*b**2 + 10 + 8 - 4*b**2 + b**3. b**3 + 18 Collect the terms in -89 - 238*h - 6891*h**2 + 3446*h**2 + 3447*h**2 + 238*h - 51. 2*h**2 - 140 Collect the terms in 213 + 1238*p**2 - 336*p**2 - 614 + 209 + 192. 902*p**2 Collect the terms in -25*p**2 + 64 + 2143*p + 7*p**2 + 7*p**2. -11*p**2 + 2143*p + 64 Collect the terms in 68 + 65 - 148 - 8*f. -8*f - 15 Collect the terms in -12141 + 12139 + 168*x + 13*x**2 - 4*x**2. 9*x**2 + 168*x - 2 Collect the terms in 216*d**2 - 665142282*d + 665142282*d. 216*d**2 Collect the terms in 34*b**2 + 30*b**2 - 31*b**2 - 41*b**2 - 13*b**2 + 39*b**2. 18*b**2 Collect the terms in -94670*j + 189385*j - 94675*j. 40*j Collect the terms in -16 + 16 - 282246172*w**3 + 282246177*w**3. 5*w**3 Collect the terms in -2*x**3 + 79*x**2 + 111686 - 111686 - 10*x. -2*x**3 + 79*x**2 - 10*x Collect the terms in -1283*d**2 + 430*d**2 + 437*d**2 + 414*d**2. -2*d**2 Collect the terms in 95256 - j - 5*j + 0*j + 5*j. -j + 95256 Collect the terms in -32*x**2 - 182*x**2 - 6*x**2 + 131*x**2 + 3*x**2. -86*x**2
{ "pile_set_name": "DM Mathematics" }
-3*d(i) - h(i). i**2 + 2*i - 419 Let m(s) be the first derivative of 5*s**2/2 + 6*s + 1383. Let o(l) = 9*l + 13. What is 13*m(t) - 6*o(t)? 11*t Let c(t) = 7533162*t - 36855. Let n(m) = 2453*m - 12. Give 4*c(a) - 12285*n(a). -2457*a Let a(o) = -1211*o**3 - 28*o**2 - 6*o + 6. Let p(h) = 1211*h**3 + 33*h**2 + 7*h - 7. Give 7*a(s) + 6*p(s). -1211*s**3 + 2*s**2 Let t(o) = -10*o**2 - 28*o - 22. Let m be t(-1). Let y(f) = -3*f**2 + 5*f - 1. Let d(r) = -r**3 - r**2 + r. Determine m*d(a) + y(a). 4*a**3 + a**2 + a - 1 Let r(t) be the second derivative of 17 - 3/2*t**2 - 2*t + 0*t**3 + 1/4*t**5 + 1/4*t**4. Let p(f) = -4*f**3 - 2*f**2 + 2. Give 3*p(u) + 2*r(u). -2*u**3 Let h(o) = -2*o**3 + 2*o. Let u(p) = -p**3 - p**2 - 14*p - 3. Calculate 7*h(x) + u(x). -15*x**3 - x**2 - 3 Let k = 648 + -651. Let n(l) = -4*l - 3. Let y(f) = f**2 + f + 4. Let b be y(0). Let p(q) = q**3 - 3*q - 2. Give b*p(g) + k*n(g). 4*g**3 + 1 Let s(u) = -u**2 + 1. Let p(k) = -1181*k**3 - 2*k**2 + 2. Calculate p(o) - 2*s(o). -1181*o**3 Let r(m) = 2*m - 285. Let g(k) = k - 18. What is 3*g(c) - r(c)? c + 231 Suppose -170 = 6*n - 194. Suppose 5*y - 4*w = -49, n*y - w + 37 = -0*w. Let l(z) = 4*z + 15. Let d(a) = 2*a + 7. Determine y*d(v) + 4*l(v). -2*v - 3 Let p(l) = 10*l**2 + 2*l - 2. Let v(x) = -5 - 1 - 7 - 9*x**2 - 4 + 20 - x. What is 3*p(j) + 4*v(j)? -6*j**2 + 2*j + 6 Let f(x) = -1 - x**3 + x + 11*x**3 - 8*x**3 - x**3. Let g = 43 - 22. Suppose 8*j - g - 27 = 0. Let i(n) = -7*n**3 + n**2 - 6*n + 6. Calculate j*f(u) + i(u). -u**3 + u**2 Let q(m) = -m + 1. Let z(i) = 6*i + 1237. What is -5*q(g) - z(g)? -g - 1242 Let v(f) = -2*f - 4. Let t be ((-2)/6)/(5/(-45)). Suppose t*k + 4 + 17 = 0. Let p(m) = -m**2 - 7*m - 12. Determine k*v(j) + 2*p(j). -2*j**2 + 4 Let b(n) = 63*n - 1. Let c(t) = 8384*t - 20. What is 20*b(j) - c(j)? -7124*j Let w(q) = 3*q**3 + 3*q**2 + 8*q - 6. Let c(j) = j - 1. Give -6*c(h) + w(h). 3*h**3 + 3*h**2 + 2*h Let j(c) = -4*c + 72. Let g(y) = -2*y + 64. What is 3*g(f) - 2*j(f)? 2*f + 48 Let p(s) = -3*s**2 + 18*s + 429. Let w(g) = -11*g**2 + 62*g + 1287. Calculate 7*p(q) - 2*w(q). q**2 + 2*q + 429 Let i(w) = 16*w**2 + 19*w + 35. Let n(o) = -15*o**2 - 16*o - 36. What is -6*i(l) - 7*n(l)? 9*l**2 - 2*l + 42 Let i(d) = 757*d**2 - 7*d + 1. Let x(o) = 758*o**2 - 10*o + 1. Determine -3*i(y) + 2*x(y). -755*y**2 + y - 1 Let s(r) = 747915106*r**2 + 2073764*r. Let z(t) = 20197*t**2 + 56*t. What is -2*s(k) + 74063*z(k)? 20199*k**2 Let g(b) = -16*b**2. Let z(c) = -8085*c**2 - 1029*c. Let m(n) = 118*n**2 + 15*n. Let q(d) = -343*m(d) - 5*z(d). Give 8*g(l) - 3*q(l). 19*l**2 Let r(k) = -20*k**2 + k + 124. Let m(l) = 5*l**2 - 25. Determine -11*m(g) - 2*r(g). -15*g**2 - 2*g + 27 Let b(o) = -5*o**2 + 16*o - 36. Let h(l) = 3*l**2 - 15*l + 25. Calculate -2*b(x) - 3*h(x). x**2 + 13*x - 3 Let m(t) = 0 + 9794*t + 0 - 9793*t. Let u(w) = -4*w + 3. Give 5*m(n) - u(n). 9*n - 3 Let x(b) = b + 41. Let v(f) = 2*f**2 + 2*f + 389. Give v(k) - 2*x(k). 2*k**2 + 307 Suppose -6758 + 315 = -17*d. Let u = 374 - d. Let p(w) = 3*w**2 + 5*w + 3. Let i(j) = -8*j**2 - 14*j - 8. Calculate u*i(b) - 14*p(b). -2*b**2 - 2 Let r(f) = 8*f**2 - 3*f + 3. Let u = -1121157 - -1121245. Let m(y) be the second derivative of 77*y**4/4 - 44*y**3/3 + 44*y**2 - y. Give u*r(p) - 3*m(p). 11*p**2 Let s(b) be the third derivative of b**5/60 - b**4/24 - b**3/6 - 92*b**2. Let w(o) = -4*o**2 + 6*o + 6. Suppose -7 = 2*v + 5*v. Calculate v*w(z) - 6*s(z). -2*z**2 Let m(l) = 6*l**2 - 3*l + 1. Let c(a) be the second derivative of -13/12*a**4 + 7/6*a**3 - 3/2*a**2 + 7 - 4*a. What is -2*c(b) - 5*m(b)? -4*b**2 + b + 1 Let a(w) = w**2 - 3*w - 1. Let c(g) = -76*g**2 + 11*g + 5. Determine 5*a(b) + c(b). -71*b**2 - 4*b Let w(o) = -9*o + 1851. Let b(l) = 4*l - 927. Calculate -5*b(k) - 2*w(k). -2*k + 933 Let z(a) be the second derivative of -a**5/20 - a**4/12 - a**3/6 + a**2/2 + 6323*a. Let m(c) = 2*c**3 + 3*c**2 + 5*c - 3. What is -m(r) - 5*z(r)? 3*r**3 + 2*r**2 - 2 Let t(o) = 5*o + 143. Let h(n) = -4*n + 19720 + 5*n - 19684. Calculate 9*h(c) - 2*t(c). -c + 38 Let d(x) = 4*x**2 + 72*x + 9. Let b(q) = -q**2 - 2*q - 2. What is -6*b(k) - d(k)? 2*k**2 - 60*k + 3 Let z be ((-2)/(-3))/(2/21). Let h(u) = 17*u + 7. Let r(b) = -60788*b + 182392*b + 5 - 60799*b - 60794*b. Determine z*r(a) - 5*h(a). -8*a Let m(s) = 2629*s**2 - s + 16. Let z(d) = -10514*d**2 + 5*d - 72. Give -9*m(h) - 2*z(h). -2633*h**2 - h Let o(z) = 3*z**2 + 5465477*z - 5465477*z + 7*z**2 - 4. Let q(u) = u**2 + 1. What is 3*o(d) + 12*q(d)? 42*d**2 Let g(v) be the first derivative of -13*v**3/3 + v**2 + 7*v - 5575. Let u(f) = 4*f**2 - f - 2. Calculate -2*g(x) - 7*u(x). -2*x**2 + 3*x Let g(x) = 67*x**3 + 6*x**2 + 2*x - 2. Let j(k) = 69*k**3 + 9*k**2 + 2*k - 3. What is 3*g(s) - 2*j(s)? 63*s**3 + 2*s Let s(u) = -u**2. Let i(t) = -20*t**2. Let g = -44001 - -44000. What is g*i(c) + 3*s(c)? 17*c**2 Let i(b) = -6*b**3 - 3*b**2 + 7*b - 11. Let w(m) = -390*m**2 + 796*m**2 - 3*m**3 + 4*m - 408*m**2 - 6. Suppose -2*a = 1 + 7. What is a*i(n) + 7*w(n)? 3*n**3 - 2*n**2 + 2 Let h(r) = 93*r + 1224. Let j(v) = -112*v - 1227. What is -6*h(o) - 5*j(o)? 2*o - 1209 Let z = 216 + -157. Let d(s) = 0*s**2 + z*s + 5 - 25*s - s**2 - 29*s. Let j(p) = p**2 - 4*p - 4. Give 4*d(b) + 5*j(b). b**2 Suppose -3*l + 46*n = 45*n - 47, l - 5*n = 25. Let j(h) = 3*h**2 + 5*h - 5. Let u(t) = t**2 + 2*t - 2. What is l*u(d) - 6*j(d)? -3*d**2 Let u(o) = 2975*o**2 + 5100. Let q(b) = b**2 + 2. Determine -2550*q(c) + u(c). 425*c**2 Let b(f) = -2*f + 1. Let c(g) = -9*g - 394. Calculate -4*b(o) + c(o). -o - 398 Suppose 0 = 5*c - 40*c + 104 + 106. Let k(p) = 3*p**2 + 14*p + 6. Let o(f) = f + 1. What is c*o(y) - k(y)? -3*y**2 - 8*y Let a = 17 + -18. Let m(f) = 1. Let p(l) = -l - 1. Suppose 13*t - 79 + 92 = 0. Determine a*m(c) + t*p(c). c Let y(z) = -154*z**2 - 2*z + 246. Let m(p) = 155*p**2 + p - 219. What is -9*m(o) - 8*y(o)? -163*o**2 + 7*o + 3 Let f(i) = 77*i**2 + 21*i. Let y(z) = -382*z**2 - 108*z. Calculate 16*f(p) + 3*y(p). 86*p**2 + 12*p Let c(z) = -7*z**2 - 2*z - 7. Let o(n) = -7*n**2 - 2*n - 6. Let d = -40962 - -40958. Determine d*c(a) + 5*o(a). -7*a**2 - 2*a - 2 Let f(l) = 10*l**3 + 556*l**2 + 59*l. Let w(t) = 3*t**3 + 185*t**2 + 17*t. Calculate 2*f(n) - 7*w(n). -n**3 - 183*n**2 - n Let d(v) = 7603350*v - 10255. Let m(g) = 4449*g - 6. Give -6*d(n) + 10255*m(n). 4395*n Let m(r) = r**3 - r**2 + 3*r + 7. Let h(l) = l**2 + l - 2. Calculate 3*h(f) + m(f). f**3 + 2*f**2 + 6*f + 1 Let a(p) = -53*p**3 + 5. Let o(m) = m**3 + m**2 - 2*m - 1. Let q(l) = 360*l**3 - 144*l**2 + 288*l + 96. Let i(z) = 144*o(z) + q(z). What is -48*a(w) - 5*i(w)? 24*w**3 Let t(i) = 33*i**3 + 2*i**2 - 2*i + 1. Let j(m) = 5044*m**2 + 4 - 10095*m**2 + m + 5050*m**2 - 5 - 3*m**3 + 4*m**3. Give -2*j(d) - t(d). -35*d**3 + 1 Let r(t) = 908*t**3 - 2*t**2 - 4*t - 2. Let l(a) = 7267*a**3 - 16*a**2 - 34*a - 17. Give 2*l(c) - 17*r(c). -902*c**3 + 2*c**2 Let k(r) = -816*r - 128. Let a be (1/(-3))/((-13)/(-65))*3. Let c(b) = 32*b + 5. Calculate a*k(x) - 128*c(x). -16*x Let j(r) = 3*r + 27. Let c be j(-9). Let n be (c + -1 + -1)*52/8. Let d(l) = -7*l**3 + 6*l**2 + 6. Let k(f) = 14*f**3 - 13*f**2 - 13. What is n*d(w) - 6*k(w)? 7*w**3 Let x(y) = -11*y + 2. Let r(a) = 6*a - 1. Suppose 10*j = 12*j - 872. Let z = -433 + j. What is z*x(d) + 5*r(d)? -3*d + 1 Let l(d) = -d - 1. Let t(g) = g - 36. Let y(w) = 2*w - 90. Let q(m) = 5*t(m) - 2*y(m). What is 5*l(c) + 4*q(c)? -c - 5 Let d(j) = 31*j - 2. Let b(l) = 14*l. Calculate -3*b(c) - d(c). -73*c + 2 Let s(z) = 24*z**3 + 36*z**3 - 11*z - 14 - 20*z**2 - 61*z**3 + 28*z**3. Let h(o) = -9*o**3 + 7*o**2 + 4*o + 5. Give 11*h(c) + 4*s(c). 9*c**3 - 3*c**2 - 1 Let w(a) = 10*a**3 - 8*a**2 - 5*a - 6. Let k(f) = -53*f - 5 + 11*f**3 + 2094*f**2 - 2*f**3 - 2101*f**2 + 49*f. Give 5*k(m) - 4*w(m). 5*m**3 - 3*m**2 - 1 Let s(f) = -5*f**3 - 30*f**2 + 20*f - 12. Let g(w) = -w**3 + 2*w**2 + 5*w - 2. Calculate 6*g(l) - s(l). -l**3 + 42*l**2 + 10*l Let q be (20/8)/((-72)/60 - 87/(-60)). Let n(m) = -4*m - 2. Let a(z) = 9*z + 5. Give q*n(b) + 4*a(b). -4*b Let i(h) = -27*h**2 + 2. Let s(r) = -3025*r**2 + 225. Suppose -5*a = 5*x + 1125, 24*a = 4*x + 25*a + 900. Give x*i(k) + 2*s(k). 25*k**2 Let k(r) = -2*r**2 - 3*r + 2. Let a(u) = u**2 + 16*u + 6. Let x(c) = 4*c + 2. L
{ "pile_set_name": "DM Mathematics" }
*x*y + 2*c*x*y - 3*c*y - 34*o*y**2 - o*y + 6*x*y wrt y? 4*c**2*o*x + 6*c**2*x - 68*o Find the third derivative of -15984*h**6*p**2 + 52*h**2*p - 11*p**2 wrt h. -1918080*h**3*p**2 Find the first derivative of 3875*d**2 + 977. 7750*d Find the second derivative of 274*d**5 - 5*d**3 - 1381*d wrt d. 5480*d**3 - 30*d What is the second derivative of 12*b**2*p*x**3 - 38*b**2*p + 3*b*p*x**3 + b*p*x - 2*b*x**2 + 15*x wrt b? 24*p*x**3 - 76*p What is the first derivative of -158*f + 1463? -158 What is the second derivative of 76*o*t**2 - 21*o*t + t**2 wrt t? 152*o + 2 What is the third derivative of -33*d*t**5 + d*t**2 + 28*d + t**5 wrt t? -1980*d*t**2 + 60*t**2 What is the third derivative of 1280*a**4 - 748*a**2 wrt a? 30720*a What is the first derivative of -8*c*i**2 - 17*c*i + 519*c wrt i? -16*c*i - 17*c What is the second derivative of 26*v**3 + 4*v**2 + 7*v + 10 wrt v? 156*v + 8 What is the first derivative of 2*f**3*k**2 - 2*f**3*p + 339*f*k**2*p + 2*f*k**2 wrt p? -2*f**3 + 339*f*k**2 Find the third derivative of -4*f**3*x - 360*f**3 + 8511*f**2*x wrt f. -24*x - 2160 Find the second derivative of -31*f**5 - 8*f**4 + 2*f + 26. -620*f**3 - 96*f**2 Differentiate -105*z**3 - 143 with respect to z. -315*z**2 What is the third derivative of 105*g**3*j**3 - 3*g**3*j*v**3 - g**2*j*v**2 + 2*g*j**3*v - 10*g*j*v - 7*j**2*v**3 wrt g? 630*j**3 - 18*j*v**3 What is the derivative of -5*a*l + 44*a*w - 74*a - 4*l*w wrt w? 44*a - 4*l Differentiate 2*b*t**4 + 3*b*t**3 - 11*b*t + 2*b - 915 wrt t. 8*b*t**3 + 9*b*t**2 - 11*b Find the third derivative of 1098*a**3*u - 3*a**2*u - 221*u wrt a. 6588*u Find the first derivative of -a**4 - 4*a**3 + 7*a**2 + 8468. -4*a**3 - 12*a**2 + 14*a Differentiate 96*l*p**2 + l*p - 24*p**2 wrt l. 96*p**2 + p What is the third derivative of -13445*c**3*d**2 - 320*c**2*d**2 + c**2 - 2*d**2 - 2 wrt c? -80670*d**2 Find the third derivative of 5153*w**3*z**2 - w**3 - w**2*z**2 - 1322*w*z - z**2 wrt w. 30918*z**2 - 6 Find the first derivative of -11*b**2*i - 43*b*i - 2898*i wrt b. -22*b*i - 43*i What is the second derivative of 61*j*q**2 - 20*j*q + 2*j - 2*q wrt q? 122*j Find the first derivative of 9982*x - 16071 wrt x. 9982 What is the second derivative of 10859*j**3*t**2 - 13*j**3 + 70*j**2*t + 2*j**2 - t**5 - 1 wrt t? 21718*j**3 - 20*t**3 What is the second derivative of -53*f**5*q**3 + 3*f**5*q**2 - 9*f*q**3 - 2*f*q**2 - 17*q**3 wrt f? -1060*f**3*q**3 + 60*f**3*q**2 What is the second derivative of -c**3*g**4 - 503*c**3*g**2 - 1234*c**3*g wrt g? -12*c**3*g**2 - 1006*c**3 Differentiate 4*y**3 + 2*y**2 + 2*y - 734 wrt y. 12*y**2 + 4*y + 2 What is the second derivative of -4853*c**2 + 6481*c? -9706 What is the third derivative of 841*a**3 - 49*a**2 + 9*a? 5046 What is the second derivative of 971*c**3 + 716*c? 5826*c What is the second derivative of -377*d**3*o**2 - 3*d**3*o + 38*d**3 wrt o? -754*d**3 What is the third derivative of -2*a**3*h**3 + a**3*h + 36*a**2*h**3 - 28*a**2*h**2 + 16*a*h**3 + a*h - 2*h**2 wrt h? -12*a**3 + 216*a**2 + 96*a Find the third derivative of -884*k*x**3 - k*x + 1079*x**2 wrt x. -5304*k Find the second derivative of c**2*l*t + 109*c**2*l - 11*c**2*t**2 + c**2*t - 2*c*l*t**2 - 3*c*l - c*t + t**2 + 48*t wrt c. 2*l*t + 218*l - 22*t**2 + 2*t Differentiate 89*i**3 - 2*i**2 + 753 with respect to i. 267*i**2 - 4*i What is the third derivative of -h**3*l**2*z - 9*h**3*l**2 - 13*h**3*z**2 + 159*h**2*l**2*z**2 - 2*h**2*l**2*z + h*z**2 wrt h? -6*l**2*z - 54*l**2 - 78*z**2 Find the second derivative of b**2*o**2*z + b**2*z + 67*b*j*o*z - 5*b*j + 4935*j*o**2*z - j*z + o wrt o. 2*b**2*z + 9870*j*z Find the second derivative of -2*i**3*u**3 - 217*i**3*u - 7*i*u**3 - 29*u**3 wrt i. -12*i*u**3 - 1302*i*u Find the third derivative of 2*c*r*t**3 + 2*c*r*t - 5*c*t**2 - r*t**2 + 246*t**5 wrt t. 12*c*r + 14760*t**2 Find the second derivative of 105*h**2*z**3 - 2*h**2*z - 658 wrt z. 630*h**2*z What is the second derivative of -2*q**3 + q**2*w + 14*q**2 + 2*q*w - 14 wrt q? -12*q + 2*w + 28 What is the derivative of 1886*n**3 + 377? 5658*n**2 Find the third derivative of -4*m**4*n**2 + 90*m**4 + 2*m**3 - m**2*n + 7*n**2 wrt m. -96*m*n**2 + 2160*m + 12 What is the first derivative of -19*i*p + 907*i + 5*p wrt p? -19*i + 5 Differentiate 21727*y**4 + 11716. 86908*y**3 Find the third derivative of 22*n**3*p**4 - 18*n**3*p**2 + n**3 - p**6 wrt p. 528*n**3*p - 120*p**3 What is the first derivative of 3*p**3 - 8*p**2 + 2 wrt p? 9*p**2 - 16*p Find the second derivative of l*v**3 - l*v**2 + 167*l + 334*v**3 + 2*v - 3 wrt v. 6*l*v - 2*l + 2004*v Differentiate -3*p**3*z - 12*p**3 + 8*p**2 - p*z**4 - 2*z with respect to z. -3*p**3 - 4*p*z**3 - 2 Find the first derivative of 2*g**2*l - 2*g**2 - 113*g*l**3 - 286*l**3 wrt g. 4*g*l - 4*g - 113*l**3 What is the third derivative of -11*l**4*q**3 - 15*l**4*q + 5*l**2*q**3 - 89*l*q**3 wrt l? -264*l*q**3 - 360*l*q What is the second derivative of -13*h**3*y**3 - h**3*y**2 - h**3 + h**2*y - 189*h wrt y? -78*h**3*y - 2*h**3 Find the first derivative of -1594*v**3 + 3423 wrt v. -4782*v**2 Find the third derivative of i**6 - 260*i**3 + 641*i**2. 120*i**3 - 1560 What is the third derivative of -a**2*i*t**3 - 35*a**2*i*t**2 - a**2*t**2 + 191*a*t**4 - 2*i*t**2 - 3*t**3 - 2*t wrt t? -6*a**2*i + 4584*a*t - 18 What is the second derivative of -3*w**4 - 9*w**3 + 41*w**2 - 40*w + 4? -36*w**2 - 54*w + 82 Find the first derivative of -7110*v**3 + 333 wrt v. -21330*v**2 What is the second derivative of 39*q**3 - 2*q**2 - 152*q? 234*q - 4 Find the first derivative of 8122*x + 20051. 8122 Find the third derivative of 3249*d**3 - 4115*d**2. 19494 Find the second derivative of 509*q**4 + 61*q - 1. 6108*q**2 What is the first derivative of 40*v - 59 wrt v? 40 Find the first derivative of 668*p*u*v - 2*p*u + 2262 wrt v. 668*p*u Differentiate 5*j**2 + 37*j + 2715 with respect to j. 10*j + 37 Find the second derivative of -16205*m**3 - 69*m + 124 wrt m. -97230*m Differentiate -116*c**4*q**2 + 3*c**4*q - 84*q**2 + 5*q + 3 wrt c. -464*c**3*q**2 + 12*c**3*q Differentiate 10*c*j**3*o + c*j*t**3 + 11*c*o*t + 7*j**3*o*t**2 + 2*j*t**3 + 53*o*t with respect to c. 10*j**3*o + j*t**3 + 11*o*t What is the second derivative of 694*j**2 + 61*j + 1? 1388 What is the third derivative of 2*f**3*g*z**2 - 71*f**3*g - 2*f**3*z**2 - 114*f**2*z**2 - 7*f*g*z wrt f? 12*g*z**2 - 426*g - 12*z**2 What is the derivative of b*f**2*r*u + b*f*r + 2*b*u + 39*f**2*u - 4*f*r + 27*r*u + 6*u wrt f? 2*b*f*r*u + b*r + 78*f*u - 4*r Find the second derivative of d**3*y + 142*d**2*i + 20*d*i + d*y - 2*i*y - i wrt d. 6*d*y + 284*i Find the second derivative of -238*b**2 + 393*b - 1 wrt b. -476 Find the third derivative of 7*g*l*q**3 + g*q**3 - 10*g - l*q**4 + 6*l*q**2 wrt q. 42*g*l + 6*g - 24*l*q What is the third derivative of -240*u**5 + 12*u**4 + 1980*u**2 - 2*u + 1 wrt u? -14400*u**2 + 288*u What is the first derivative of -282*g - 569? -282 Find the third derivative of 2*a**3*z + 66*a**3 - a**2*z - a**2 - 10*a*z wrt a. 12*z + 396 Find the first derivative of 717*m*n**2 + 103*n**2 wrt m. 717*n**2 Find the second derivative of 148*r**2 - 478*r - 2 wrt r. 296 What is the third derivative of 1169*b**3*f**4 + 32*b**3*f - 5*f**2 wrt f? 28056*b**3*f What is the second derivative of -42*u**3 - 2*u**2 - 110*u? -252*u - 4 Find the second derivative of -14*l**5 + 405*l**2 - 290*l + 2 wrt l. -280*l**3 + 810 What is the derivative of -1031*d**3*h - 2*d**3*i*v + 21*d**3*v**2 - 10*d**2*i*v + 2*d**2*v**2 + d*h*v**2 - 2*d*i*v**2 - 2*h*i*v wrt h? -1031*d**3 + d*v**2 - 2*i*v Find the second derivative of 5169*g**3 - 39*g + 8. 31014*g What is the second derivative of 32*k*n**2*v - 6*k*n - 2*k*v + 6*k - 4*n**2*v - 2*n wrt n? 64*k*v - 8*v What is the first derivative of 519*k - 879? 519 What is the second derivative of -x**5 - 2*x**3 + 9*x**2 + 295*x? -20*x**3 - 12*x + 18 Differentiate -41*g**2*s + 4*g**2 + 2*g*s**3 - 6*s**3 - 2 wrt s. -41*g**2 + 6*g*s**2 - 18*s**2 Find the third derivative of 2782*l**3 - 1623*l**2. 16692 Find the third derivative of -11*d**6*j**2 - 2*d**4*j**2 + 60*d**2*j**2 - 2*d**2*j - 2*d*j**2 wrt d. -1320*d**3*j**2 - 48*d*j**2 Find the first derivative of -3*d**3*p**3 - 818*d**3 + 169*d**2*p**3 wrt p. -9*d**3*p**2 + 507*d**2*p**2 What is the first derivative o
{ "pile_set_name": "DM Mathematics" }
**2 + 3*s**3 - 28*s**2 - 3*s**3 as k*s**4 + q*s + o + u*s**2 + v*s**3 and give k. -2 Express -44*v - 9*v + 15*v - 92*v - 37*v in the form d + i*v and give i. -167 Rearrange (-14*s**2 + 24*s**2 - 15*s**2)*(15*s + 15*s + 26*s) to l + f*s**2 + t*s + c*s**3 and give c. -280 Rearrange -45 + 75 + x - 68 + (4 - 6 + 1)*(0 - x + 0) to v + f*x and give v. -38 Rearrange -10*d**2 - 2*d + 18*d**2 - 1 - 5*d**2 to the form f*d + v*d**2 + w and give w. -1 Express -16*u**3 + 44*u**3 + 75*u**3 + 1 + u**2 - 22*u**3 + u**2 in the form r*u**3 + z + w*u + i*u**2 and give r. 81 Rearrange (-1347*c**2 - 220436*c + 220436*c)*(3*c - 4*c + 2*c) to the form w*c + n*c**2 + z + b*c**3 and give b. -1347 Rearrange 51*n - 48*n + 188*n to the form q*n + t and give t. 0 Express (n + 2*n - n)*(0 - 4 + 3)*(-2 + 3 + 2)*(14*n**2 - 28*n**2 - 42*n**2) as p*n + h*n**2 + o*n**3 + w and give o. 336 Rearrange 0 + 53*q - 2 - 86*q to k*q + c and give k. -33 Rearrange 91 - 3*f + 91 - 178 to the form b*f + x and give x. 4 Rearrange -2*l**3 + l + 0*l - 2*l**3 + 4*l - 4*l + 5*l**3 + (3*l**2 + l**2 - 2*l**2)*(4*l - 3*l + 2*l) to j*l**2 + z*l**3 + h*l + d and give z. 7 Express (5 - 5 + v)*(-2 - 2*v + 2)*((5 + 0 - 2)*(-2 + 5 + 1) + 3 + 3 - 1) as u*v**2 + d*v + r and give d. 0 Express (-24 + 65 + 66)*(2 - 2 - i**2) in the form v*i**2 + d + k*i and give v. -107 Rearrange 59*b**2 + 29*b - 32*b - 2 + 2 to the form u*b**2 + y*b + w and give y. -3 Rearrange (r - 5*r - 2*r)*(-3*r**3 + 0*r**3 - 8*r**3) - 15*r**4 - 134 + 134 to n*r**2 + k + q*r**3 + u*r**4 + p*r and give u. 51 Express -30 - 4*n - 21 - 11 + 85 - 2*n in the form h + l*n and give h. 23 Express 4 + 7 - 11 + 7*z - 6*z**2 - 89*z in the form u + m*z**2 + k*z and give m. -6 Express -1932*i + 1024*i + 1196*i in the form j + w*i and give w. 288 Rearrange 113*g + 24*g**3 - 27*g**3 - 3 - 108*g to the form d*g**3 + s + i*g**2 + v*g and give v. 5 Express ((9*l**2 + 12*l**2 + 14*l**2)*(0 - 1 - 2) + (2 - 5 + 2)*(2 - 2 + 2*l**2))*(3*l - 4*l + 2*l) in the form j*l + n + c*l**2 + t*l**3 and give t. -107 Express 554 + d**3 - 279 + 180*d - 277 in the form y + q*d + s*d**2 + g*d**3 and give y. -2 Express 346*a + 354*a - 706*a + 3*a + 3*a - 5*a + (-4 + 2 + 4)*(0*a + a - 3*a) + 3 - a - 3 in the form k + t*a and give t. -10 Rearrange 1 + 1 + 13*v**4 - 25*v**3 + 10*v + 27*v**3 - 15*v**4 to the form s*v**4 + u + h*v**2 + f*v**3 + l*v and give f. 2 Rearrange -1 - 4 + 4 - 2*h + (14 + 1 + 8)*(-8*h - 2*h + 0*h) to i*h + r and give i. -232 Rearrange -2 - f**2 + 2 + (-f**2 + f - f)*(-2 + 5 - 2) - 202*f**2 - 75*f**2 - 11*f**2 to the form l*f + r + o*f**2 and give o. -290 Express 716 - 29*k - 1434 - k**2 + 718 as d*k + b*k**2 + w and give b. -1 Express (-66 + 66 - 15*h)*(37*h**2 + 66 - 66 + 2*h) as t*h**2 + i*h**3 + u*h + a and give i. -555 Rearrange -16655*a**2 + 0*a + 16732*a**2 - 2*a to x*a**2 + l*a + b and give x. 77 Rearrange 112*z**2 - 10 + 91*z**2 - 81*z**2 + 10 to k + p*z**2 + q*z and give p. 122 Rearrange -25*q**3 + 32 + q**2 + 28 - 59 to b*q**2 + f*q**3 + c*q + o and give f. -25 Express 304 - x**3 - 149 + 3*x**4 + x**2 - 155 - 4*x as a*x**3 + g*x**4 + n*x + m + c*x**2 and give c. 1 Express (-81418 - 160*b**3 + 81418)*(1 + 5 - 3) in the form v*b**2 + s*b**3 + k + i*b and give s. -480 Express (24*j - 166 - 52*j + 26*j)*(3*j - j + 0*j) as x + l*j**2 + p*j and give l. -4 Express (29 + 26 + g - 58)*(-12 - 8 + 33) as x*g + l and give l. -39 Express ((1 - 2 + 6)*(s**3 + 0*s**3 - 3*s**3) + 17 - 17 + 4*s**2 + 4*s**3)*(4 - 4 - 2*s) as m*s**3 + x + w*s + b*s**2 + q*s**4 and give q. 12 Rearrange -181*d**4 + 2*d**3 + d**2 + 179*d**4 + 3*d - 2 + 1 to the form h*d**4 + v*d + p + f*d**2 + j*d**3 and give v. 3 Express 35 + 50 - 76 - 2*j - 2*j**2 - 2*j**4 as y*j**2 + s*j + u*j**3 + g*j**4 + k and give g. -2 Express -506 - 511 + f**2 + 1018 in the form t*f**2 + n*f + j and give t. 1 Express -30 + 20 + 2*d**2 + 3 in the form f + j*d + u*d**2 and give f. -7 Rearrange -4*b**2 + 9*b**2 + 115*b - 91*b to the form l + n*b + p*b**2 and give p. 5 Rearrange 44*j**4 + 10*j - 28*j**2 + 2 - 43*j**4 + 27*j**2 + 2*j**3 to the form s + h*j**4 + r*j**3 + d*j**2 + a*j and give s. 2 Rearrange -428*h - 5*h**2 + 2*h**2 + h**3 + 201*h + 210*h - 3*h**4 to the form w + l*h**3 + a*h**4 + x*h + s*h**2 and give a. -3 Express -24*b**3 - 33*b**3 + 23*b - 20*b - 29*b**3 + 21*b**3 in the form y*b**3 + l*b**2 + s*b + g and give s. 3 Express -3*s**2 + s**4 + 12 - s - 4*s**3 - 3*s**4 - 3*s**2 + 8*s**2 + 6*s**3 in the form b + k*s**3 + c*s + l*s**4 + p*s**2 and give b. 12 Express (5*h + 3*h - 5*h)*(0 + 2 - 11)*(0*h**3 - 6*h**3 + 2*h**3) in the form o*h**2 + n*h**3 + q*h + c + z*h**4 and give q. 0 Express k + k**3 - k - 1 + 10*k**2 - 15 + 11 as b*k**2 + a + t*k**3 + u*k and give t. 1 Express (6*k - 4*k - k)*(-214*k + 794*k**2 - 223*k + 437*k) in the form j*k**2 + s*k + y*k**3 + r and give y. 794 Rearrange -2*u + 3*u + 0*u + 4*u + 2*u + 8*u + 5*u - 3*u - 4*u + (-u + 2*u + 0*u)*(0 - 1 + 2) - 112*u + 167*u - 88*u to m*u + h and give m. -19 Express 33*b + b**3 - 3 - 4*b**2 + 104*b + 5*b**2 - b**2 in the form v*b + r*b**3 + f*b**2 + d and give v. 137 Express 398*w + 414*w - 2 - 2*w**3 - w**2 - 761*w as y*w + u + l*w**2 + d*w**3 and give l. -1 Express -47*s**2 - 44 + 92 - 50 in the form u + z*s**2 + g*s and give z. -47 Rearrange -2*k - 129 + 152 + k to the form a*k + i and give i. 23 Express -24 - 21 - 20 + 62 + 6*r**2 in the form m + l*r + s*r**2 and give s. 6 Express -158*s**3 - 2*s**2 - 5*s**2 + 166*s**3 + s + 5*s**2 as a*s + q*s**3 + n + p*s**2 and give q. 8 Rearrange 5 + 6*w - 5 + 57*w to z*w + n and give z. 63 Rearrange -13 + 3*c - 93 - 42 - 20 to the form t + v*c and give t. -168 Rearrange -128*m + 383*m - 126*m + 516 - 126*m to i*m + l and give l. 516 Rearrange 4*c - 107*c**2 - 1 - 2*c + 0*c**4 - 98*c**2 - 2*c**4 + 270*c**2 to the form v*c + w*c**3 + j*c**4 + t + u*c**2 and give w. 0 Rearrange 641 - 641 + 254*a to j + t*a and give t. 254 Rearrange 266*d + 17 - 181*d - 89*d to the form i*d + x and give x. 17 Express (-2 + 6 - 1)*(-2*q - 6*q + 0*q)*(5*q**3 - 2*q**3 - 2*q**3)*(-2 - 2 + 2) in the form o*q**3 + g + s*q + v*q**4 + x*q**2 and give v. 48 Express 19*p**2 - 8193 + 8195 + 3*p**3 - 4*p**4 + 3*p**4 + 0*p**3 in the form m*p**3 + l*p**2 + b*p + k*p**4 + g and give l. 19 Express ((0*z + z + 0*z)*(363*z**3 + 45*z**3 - 168*z**3) + 0 - 2*z**4 + 0)*(-1 - 2 - 4) in the form g*z**2 + y*z + d + r*z**3 + s*z**4 and give s. -1666 Express (-144 + 144 - 469*l + 92*l)*(4 + 1 - 3) as n + u*l and give n. 0 Rearrange k**2 - 4*k**2 + 6*k**2 + (1 + 1 + 0)*(-3 + 3*k**2 + 3) + 0*k**2 + 0*k**2 - 2*k**2 to q + w*k**2 + l*k and give w. 7 Express -154*h**2 + 154*h**2 - 11*h**3 - 1 - 1 + 11*h as n + p*h**3 + t*h**2 + y*h and give y. 11 Rearrange 144 - 2*t - t + 2*t to r*t + m and give r. -1 Express -4 - 64*z**3 + z**2 - 12*z**2 - 2*z**2 - 5*z**2 + 66*z**3 - z**4 in the form q*z + x*z**4 + s*z**3 + d*z**2 + l and give q. 0 Rearrange (-208 + 371 - 225)*(h**2 + 0*h**2 + 2*h**2 + (4*h**2 + h**2 - 3*h**2)*(-3 + 1 + 1)) to r + k*h + s*h**2 and give s. -62 Express 31*y**3 - 4*y**2 - 4*y**2 + 0*y**3 + 12*y**2 + 12*y**3 in the form g + h*y**3 + k*y**2 + c*y and give k. 4 Express (-3 - 1 + 3)*(5*u - u - 2*u) + 22 - 3*u - 22 - 61*u - 4*u - 90*u in the form a*u + l and give a. -160 Rearrange -140*l**2 - 137*l**2 + 111*l**2 - 203*l**2 to the form w*l + g*l**2 + s and give g. -369 Rearrange -6 - w**4 + 4 - w + 9*w**3 - 8*w**3 - 16*w**3 to o*w**4 + f + u*w**2 + l*w**3 + j*w and give l. -15 Express (-29 + 403 - 73)*(-2*b + 5*b - 5*b) as t*b + q and give q. 0 Express 6 - 13*z - 60*z**2 + 3*z + 11*z - 3*z + 0*z as q + l*z + o*z**2 and give l. -2 Rearrange (1 + 4 - 4)*(4 - 3 - 3)*(-1 - 4 + 3)*(-3 + 0 + 0)*(-30*l + 18*l - 12*l) to u + j*l and give j. 288 Rearrange l - 112*l**2 - 4*l**4 - 2*l**3 - 1 - l**4 + 108*l**2 + 4*l**3 to the form x*l + b*l**4 + s + j*l**2 + u*l**3 and give x. 1 Rearrange -22*l + 147*l**3 - 155*l**3 + l**2 - 7*l**4 + 21*l - 1 to the form k + g*l**3 + i*l**2 + j*l + v*l**4 and give k. -1 Rearrange (-t + t + 2*t)*(-103*t + 14*t**2 - 11*t**2 + 30*t) to the form r*t + p + l*t**2 + s*t**3 and give r. 0 Rearrange (85 + 99 - 27)*(-2*y + 0*y + 4*y) to c + o*y and give o. 314 Express (2*w + 4*w - 2*w)*(49 + 32 - 27) as z + b*w and give b.
{ "pile_set_name": "DM Mathematics" }
*4/2 - 43*n. Find the third derivative of h(k) wrt k. 5640*k**2 Let k = 23 + -27. Let w(h) = -12*h**4 + 14*h - 7. Let l(m) = -6*m**4 + 7*m - 4. Let f(p) = k*w(p) + 7*l(p). What is the second derivative of f(z) wrt z? 72*z**2 Suppose 7*x + 12*x = 14*x. Let r(z) be the second derivative of 2*z**2 + 7/20*z**5 + 0*z**3 + 0 - 3*z + x*z**4. Differentiate r(l) with respect to l. 21*l**2 Let r(o) be the second derivative of 31*o**6/10 - 21*o**4/4 + o**3/3 - 24*o - 1. What is the third derivative of r(v) wrt v? 2232*v Let v(j) be the third derivative of j**6/120 + 2*j**4/3 - 18*j**3 + 101*j**2 + j. Differentiate v(n) wrt n. 3*n**2 + 16 Let l(x) = 2*x + 3. Let q be l(0). Differentiate -5*p**3 - 9 + p**q + 37 wrt p. -12*p**2 Let o(j) be the second derivative of 0 + 2*j - 19/30*j**6 + 0*j**4 + 0*j**3 + 0*j**5 + 19/2*j**2. Differentiate o(n) with respect to n. -76*n**3 Let g(s) = -1463*s + 1924. Let z(n) = -738*n + 961. Let d(v) = -4*g(v) + 7*z(v). Find the first derivative of d(o) wrt o. 686 Let o(j) = 4*j + 1. Let w(u) = -138*u + 45. Let f(l) = -2*o(l) - w(l). Differentiate f(s) wrt s. 130 Suppose 4*x - 4 = 48. Let p = -8 + x. What is the second derivative of -26*r - r**p + 11*r + 8*r wrt r? -20*r**3 Find the second derivative of 0 + 2 - 4*d + 3*d + 34*d**5 - 13*d wrt d. 680*d**3 Let k(o) be the first derivative of 27/2*o**2 + 11/2*o**4 + 0*o**3 + 33 + 0*o. What is the second derivative of k(j) wrt j? 132*j Suppose 2*j - 1 = 41. Suppose -7*r + 4*r = -j. Let n(u) = 2*u + 3. Let c(t) = 2*t + 3. Let b(g) = r*c(g) - 6*n(g). What is the first derivative of b(w) wrt w? 2 What is the derivative of 90 + 113 + 34*u**2 - 166 wrt u? 68*u Let r(x) = 252*x - 97. Let b(w) = -w + 2. Let o(d) = -3*b(d) + r(d). What is the derivative of o(n) wrt n? 255 Let m(v) be the second derivative of v**7/70 - 19*v**3/6 + 13*v**2/2 + 19*v. Let r(o) be the first derivative of m(o). Find the first derivative of r(w) wrt w. 12*w**3 Let m(n) be the third derivative of 43/24*n**4 + 0*n + 0*n**3 + 0 - 1/120*n**6 + 0*n**5 - 7*n**2. Find the second derivative of m(i) wrt i. -6*i Let q(k) = -k**4 + k**3 + k + 1. Let j(a) = -34*a**4 + 5*a**3 + 27*a**2 + 5*a + 5. Let x(p) = -2*j(p) + 10*q(p). What is the third derivative of x(n) wrt n? 1392*n Let q be (-231)/(-36)*3*4. What is the second derivative of -4*b**2 - q*b + 155*b - 82*b wrt b? -8 Suppose 3*x = -12, 2*s + s = -2*x + 37. Suppose -2*u + s + 3 = 0. What is the first derivative of u - 5 + 7*h**3 + 4 wrt h? 21*h**2 Let s = 289 + -289. Let p(f) be the third derivative of 0 + s*f**3 + 1/12*f**4 + 0*f + 0*f**5 + 5*f**2 + 1/60*f**6. Find the second derivative of p(c) wrt c. 12*c Let g(h) be the first derivative of -2*h**3/3 + 15*h**2 + 54. What is the second derivative of g(z) wrt z? -4 Let p(o) = 3*o**2 - 8*o - 3*o**2 + 2*o**2 + 5 - 6*o. Let d be p(7). Find the second derivative of -3 + 3 + 8*x - d*x**3 - 4*x wrt x. -30*x Let r = -22 + 22. Let q(d) be the second derivative of -5*d - 1/4*d**5 + 0*d**4 + r + 0*d**3 - d**2. What is the derivative of q(u) wrt u? -15*u**2 Let d(m) = m**3 - m**2 + m - 1. Let w(a) = -162*a**3 - 3*a**2 + 3*a + 33. Let h(x) = -3*d(x) + w(x). What is the first derivative of h(q) wrt q? -495*q**2 Let t = 39 + -35. What is the first derivative of -31*q - 13 - 11*q**t + 31*q wrt q? -44*q**3 Let l(n) be the second derivative of n**10/15120 + n**7/84 - 9*n**4/4 + 16*n. Let k(w) be the third derivative of l(w). Find the third derivative of k(a) wrt a. 120*a**2 Let v(s) = -3*s - 1. Let i(h) = -6*h**2 - 90*h + 526. Let a(g) = i(g) - 12*v(g). What is the first derivative of a(n) wrt n? -12*n - 54 Let z(i) be the third derivative of 0*i**6 + 8/3*i**3 + 0*i + 0*i**5 + 0 - 11/105*i**7 + 10*i**2 + 0*i**4. What is the derivative of z(r) wrt r? -88*r**3 Let h = 57 + -39. Suppose -h = -3*f - 0*f. Find the third derivative of 7*o**4 - f*o**2 - o**4 - 7*o**4 wrt o. -24*o Suppose j = -2*j + 6. What is the first derivative of b - 31*b**j - 5*b + 18 + 4*b wrt b? -62*b Let a(m) be the second derivative of 0 + 17*m + 1/2*m**6 + 0*m**5 + 0*m**4 + 15/2*m**2 + 0*m**3. Differentiate a(x) with respect to x. 60*x**3 Suppose 3*f = -3*t - 0*f + 9, -f + 1 = 0. What is the third derivative of 10*z**3 - 19*z**t - 2*z**3 + 3*z**3 + 3*z**2 wrt z? 66 Let f = -7 - -14. Let b(w) = 2*w - 10. Let u be b(f). What is the third derivative of -3*h**5 - u*h**2 + 3*h**5 - h**5 + h**2 wrt h? -60*h**2 Let v = 70 - 68. What is the third derivative of -v*c**2 - 3*c**2 - 2*c**2 - 6*c**3 + 15*c**3 wrt c? 54 What is the second derivative of -92*w**2 - 247*w - 400*w + 2*w**4 + 121*w - 3*w**4 wrt w? -12*w**2 - 184 Let t(b) be the first derivative of 9 + 0*b**2 + 0*b**5 - 1/3*b**6 + 0*b - 2/3*b**3 + 0*b**4. What is the third derivative of t(q) wrt q? -120*q**2 Let t(v) = -2*v - 26. Let i be t(-14). Find the second derivative of -18*f**i - 11*f + 25*f - 8*f + 0*f wrt f. -36 Find the third derivative of 265*u**3 - 139*u**2 - 116*u**2 + 1 + 277*u**2 wrt u. 1590 Let i(d) be the first derivative of d**6/90 + d**4/2 + 13*d**3/3 + 13. Let w(t) be the third derivative of i(t). Find the first derivative of w(y) wrt y. 8*y Let o = 40 - 36. Find the second derivative of 2*y + y - 354*y**o + 338*y**4 wrt y. -192*y**2 What is the derivative of 144*y + 13 - 72*y**3 + 149*y - 43 - 296*y wrt y? -216*y**2 - 3 Find the first derivative of 121*r - 259*r - 70*r**2 + 137*r - 349 wrt r. -140*r - 1 Let g(u) = -u + 7. Let l be g(5). Suppose 0 = 2*h - l*a + 2, -h - a - 3 = -4*a. What is the second derivative of 3*q - 1 + h*q - 2*q**2 + 1 wrt q? -4 Let k be -4 + (11 + -1 - 3). Suppose 13 + 5 = k*u. What is the first derivative of -u - 4 + g + 2 wrt g? 1 Find the third derivative of -2*a - 29*a**4 + 2257*a**3 + 155*a**4 + 70*a**2 + 2*a**2 - 2258*a**3 wrt a. 3024*a - 6 Differentiate -221 + 121038*r - 120910*r + 653 with respect to r. 128 Find the second derivative of -5*g + 0*g**5 - 177*g**5 - 176*g**5 - 4*g wrt g. -7060*g**3 Let l(i) be the second derivative of -57*i**5/20 - 5*i**3/6 - 515*i**2/2 + 443*i. Differentiate l(o) with respect to o. -171*o**2 - 5 What is the first derivative of 43*u + 0 + 35 - 3*u - 4 wrt u? 40 Let r be 1/((-1)/(-15)*(-24)/(-8)). What is the third derivative of 20*h**2 - 13*h**5 - 5*h**2 + 27*h**r wrt h? 840*h**2 Let m be (-1)/(-2)*(6 + -8). Let u = m - -6. What is the second derivative of u*a**5 - 248*a**3 + 248*a**3 - 4*a wrt a? 100*a**3 Let s(l) = l**3 - 5*l**2 + 6*l - 6. Let y be s(4). Let q = 158 + -150. What is the second derivative of -6*k**3 + 4*k - q*k + y*k wrt k? -36*k Let d(r) = r**3 + 10*r**2 - r - 13. Let x be d(-10). Let b be (-6 - x)/((-3)/4). What is the second derivative of c + 2*c**3 - b*c + 2*c + 4*c wrt c? 12*c Suppose -3*d + 11 = -1. Let o be (-2)/(-2) - (d - 5). Find the first derivative of -6 + 11*k - o + 2 - 5*k wrt k. 6 Let x(o) = -2*o**3 - 4*o**2 - o + 2. Let t be x(-2). Differentiate 21*b**3 - 2*b**3 - t + 12 - 2 wrt b. 57*b**2 What is the third derivative of 59*a - 71*a**4 - 53*a + 2*a**2 - 3*a**2 wrt a? -1704*a Let o(p) be the second derivative of 0 + 1/6*p**3 + 0*p**4 + 0*p**2 - 13/30*p**6 + 0*p**5 - 15*p. Find the second derivative of o(w) wrt w. -156*w**2 Let f(t) be the second derivative of 0*t**5 + 0*t**3 + 0*t**6 + 7*t + 5/56*t**8 + 0 + 0*t**2 + 0*t**7 - 17/12*t**4. What is the third derivative of f(k) wrt k? 600*k**3 Let f(q) = 185*q**4 + 12*q**2 + 911. Let x(k) = -1665*k**4 - 105*k**2 - 8200. Let t(o) = -35*f(o) - 4*x(o). Differentiate t(j) wrt j. 740*j**3 Let x(v) = -246*v**2 - 375*v. Let a(s) = 163*s**2 + 250*s. Let i(u) = 7*a(u) + 5*x(u). Find the second derivative of i(z) wrt z. -178 Let o(q) be the third derivative of -73*q**4/24 - 13*q**3 + 55*q**2. What is the derivative of o(c) wrt c? -73 Let w = -10 + 19. Suppose 0 = -14*y + w*y + 5. What is the derivative of 2*q**3 + y + 1 - 7 wrt q? 6*q**2 Let g(k) be the first derivative of 50*k**4 + k**3/3 + 38*k - 166. What is the third derivative of g(j) wrt j? 1200 Let k(v) be the second derivative of 33*v**5/20 + 29*v**2 - 173*v. What is the first derivative of k(l) wrt l? 99*l**2 Let r(n) = 6*n + 2. Suppose 0 = 10*z - 12*z + 8. Let p(q) = 6*q + 2. Let x(a) = z*r(a) - 5*p(a). Differentiate x(f) wrt f. -6 Let n(b) = -7 + 11*b + 9*b**2 - 9*b - 5*b - 11*b. Let g(z) = -4*z**2 + 7*z + 4.
{ "pile_set_name": "DM Mathematics" }
he first derivative of j(d). Solve y(f) = 0 for f. -1, -1/3, 1 Let q be (39/12)/(-13) - (-98)/8. Factor 22*d + 0*d - 30 - 3*d**2 + q*d - d. -3*(d - 10)*(d - 1) Let b(t) be the first derivative of t**9/7560 - t**7/1050 + t**5/300 + 37*t**3/3 - 98. Let u(q) be the third derivative of b(q). Factor u(a). 2*a*(a - 1)**2*(a + 1)**2/5 Let c(f) = 38*f**3 + 300*f**2 + 1256*f. Let p(z) = -33*z**3 - 301*z**2 - 1257*z. Let u(l) = -7*c(l) - 8*p(l). Determine g, given that u(g) = 0. -4, 0, 158 Factor 0*j**2 - 393*j + 0*j**2 + 4*j**2 - j**2 + 420*j. 3*j*(j + 9) Let h = 4594/6615 + -101/147. Let z(p) be the second derivative of 0 + 0*p**2 + h*p**6 + 0*p**3 - 1/45*p**5 + 37*p - 1/18*p**4. Factor z(r). 2*r**2*(r - 3)*(r + 1)/9 Let b be (-5)/(20/16) + 2/20*41. Let z(t) be the second derivative of -1/3*t**3 + 0*t**2 + 0 + 0*t**4 + b*t**5 + 18*t. Factor z(a). 2*a*(a - 1)*(a + 1) Let 74/5*j + 2/5*j**2 - 156/5 = 0. What is j? -39, 2 Let t(g) be the first derivative of 0*g + 2*g**2 - 2*g**3 - 14/5*g**5 + 50 - 6*g**4. Factor t(p). -2*p*(p + 1)**2*(7*p - 2) Let w(z) = -z**3 - 9*z**2 - z + 9. Let k(b) = -b**3 + b**2 + b - 9. Let q(s) = -2*k(s) - 2*w(s). Find d such that q(d) = 0. -4, 0 Let l = 16319 - 16314. Let a(d) be the second derivative of 0 + 7*d + 4*d**3 - 1/4*d**4 - 3/4*d**l - 6*d**2 + 1/10*d**6 + 1/14*d**7. Factor a(t). 3*(t - 1)**3*(t + 2)**2 Let t(s) = 176*s + 1410. Let l be t(-8). Let g(m) be the first derivative of -4/5*m**5 + 3 - 2*m - 6*m**3 - 7/2*m**4 - 5*m**l. Factor g(n). -2*(n + 1)**3*(2*n + 1) Factor 2162/21*x**3 + 722/21*x**4 - 4/21 + 718/7*x**2 + 710/21*x. 2*(x + 1)**3*(361*x - 2)/21 Let o(l) be the third derivative of 0*l - 1/24*l**6 - 1/3*l**5 + 5/672*l**8 + 62*l**2 + 0 - 5/6*l**3 - 35/48*l**4 + 1/42*l**7. Factor o(y). 5*(y - 2)*(y + 1)**4/2 Suppose -304 - 4*i**3 + 282*i + 2*i**3 + 5*i**3 + i**3 - 164*i**2 + 182*i = 0. What is i? 1, 2, 38 Let o(q) be the second derivative of q**4/96 + 37*q**3/8 + 12321*q**2/16 - 12978*q. Factor o(j). (j + 111)**2/8 Let n be (-43)/(-120) + 10 + -10 + 39/(-117). Let f(l) be the second derivative of -1/16*l**4 + n*l**5 + 14*l + 1/24*l**3 + 0*l**2 + 0. Solve f(k) = 0. 0, 1/2, 1 Let j(b) = -b**2 - 2. Let y(p) = 27*p**2 - 261*p + 558. Let n(s) = 24*j(s) + y(s). Factor n(i). 3*(i - 85)*(i - 2) Let p(b) = -6*b**2 - 121*b - 26. Let g be p(-20). Let f be g*(-9)/486*6. Factor -2/3*s**2 - f*s**4 + 0*s + 0 + 4/3*s**3. -2*s**2*(s - 1)**2/3 Let n(a) = -3*a - 39. Let j be n(-5). Let g be (-9)/(-1) + j/8. Find o, given that -8/3 + 28/3*o + 7*o**5 - 20/3*o**4 + g*o**2 - 59/3*o**3 = 0. -1, 2/7, 2/3, 2 Let d(p) = 16*p**3 + 296*p**2 - 616*p + 316. Let g(y) = -3*y**3 + 2*y**2 - y - 1. Let r(q) = d(q) + 4*g(q). Find m, given that r(m) = 0. -78, 1 Let b = 487/3944 - -3/1972. Let f(k) be the first derivative of 9/2*k**2 + b*k**4 - 2*k - 11/8*k**3 - 19. Solve f(q) = 0 for q. 1/4, 4 Let f(s) be the second derivative of 0*s**2 - 201*s + 3/140*s**5 + 5/28*s**4 + 0 - 3/7*s**3. Suppose f(h) = 0. Calculate h. -6, 0, 1 Let c be (1912/3 + 2)/((-13)/(-39)). Let p be -9 + c/210 + 4/(-30). Factor 4/7*g**3 - 4/7*g + p + 0*g**2. 4*g*(g - 1)*(g + 1)/7 Let r(d) be the second derivative of 6*d**2 - 1/6*d**3 + 0 + 100*d - 1/24*d**4. Factor r(n). -(n - 4)*(n + 6)/2 Let g(l) be the second derivative of -l**4/42 + 208*l**3/7 - 97344*l**2/7 + 599*l. Find d, given that g(d) = 0. 312 Let m(w) = -2*w - 7. Let l be m(-5). Let r be (-1173)/(-136)*((-96)/90)/(-4). Let -8/5*x**2 - 7/5*x**4 + r*x**l + 3/10*x**5 + 0 + 2/5*x = 0. Calculate x. 0, 2/3, 1, 2 Let i(g) be the third derivative of -19*g**2 + 29/78*g**4 + 1/390*g**5 + 0*g - 1 + 841/39*g**3. Suppose i(n) = 0. What is n? -29 Suppose -60*j - 8 = -73*j + 18. Let u(h) be the third derivative of 13 - 1/1140*h**6 + j*h**2 + 2/19*h**3 + 1/228*h**4 - 1/95*h**5 + 0*h. Solve u(v) = 0 for v. -6, -1, 1 Solve -1392/11*t**3 - 96/11*t**4 + 8820/11 - 5524/11*t**2 - 2/11*t**5 - 1806/11*t = 0 for t. -21, -5, -2, 1 Suppose -341 - 181 = -9*i. Suppose 26*a - i - 46 = 0. Factor 0*u**2 + 2/5*u**3 + 1/5*u**a - 1/5*u**5 + 0*u + 0. -u**3*(u - 2)*(u + 1)/5 Let c be (-358)/(-5) - (-9)/(-15). Let p = 76 - c. Solve 59*s**3 + 20*s**p + s**2 - 6*s**2 - 79*s**3 + 5*s**4 = 0 for s. -1, -1/4, 0, 1 Suppose 94/21*o**2 - 44/3*o + 2/21*o**3 - 400/21 = 0. What is o? -50, -1, 4 Factor 690*o - 8/3*o**2 + 518/3. -2*(o - 259)*(4*o + 1)/3 Let g = 14 - -155. Suppose 2*o = 2, 5*o + g = -0*k + 2*k. Factor 25*m**3 + 54 - 5*m**4 - 14 - 107*m + k*m - 30*m**2. -5*(m - 2)**3*(m + 1) Suppose -2240/9*l - 56/9*l**3 + 3200/9 + 184/3*l**2 + 2/9*l**4 = 0. Calculate l. 4, 10 Let b = -25582 + 131851/5. Let p = b - 788. Factor -z + p*z**3 - 2/5 - 3/5*z**2 + 1/5*z**4. (z - 2)*(z + 1)**3/5 Let m(p) = -26*p**2 + 12 - 4*p**2 + 10*p - 4 + 12. Let i(z) = -10*z**2 + 3*z + 7. Let h(l) = -6*l - 16. Let j be h(-4). Let n(k) = j*i(k) - 3*m(k). Factor n(c). 2*(c - 1)*(5*c + 2) Let o(a) be the second derivative of 41/2*a**2 + 0 - 8*a + 37/6*a**3 + 1/12*a**4. Let n(x) = 18*x + 21. Let h(l) = 5*n(l) - 3*o(l). Factor h(t). -3*(t + 1)*(t + 6) Solve 124/9*a + 14 - 2/9*a**2 = 0 for a. -1, 63 Let i(m) be the first derivative of -m**5/100 + m**4/15 - 2*m**3/15 - m**2 + 69*m + 62. Let v(y) be the second derivative of i(y). Factor v(d). -(d - 2)*(3*d - 2)/5 Suppose 4*y = 2*d, -3*y = -46*d + 48*d. Let h(l) be the second derivative of y - 8*l + 0*l**4 + 0*l**3 + 1/252*l**7 - 1/120*l**5 + 0*l**6 + 0*l**2. Factor h(q). q**3*(q - 1)*(q + 1)/6 Let j(l) = 2*l**2 + 18*l - 15. Let v = 62 + -67. Let p(q) = -6*q**2 - 54*q + 44. Let m(n) = v*p(n) - 16*j(n). Factor m(g). -2*(g - 1)*(g + 10) Let b(o) = 102*o - 205. Let z be b(7). Let u = z - 507. Factor -4/3*f + 1/3*f**u + 1. (f - 3)*(f - 1)/3 Let a(i) be the second derivative of 10*i**6/3 - 16*i**5 - 131*i**4/3 + 148*i**3 - 144*i**2 - 2*i - 104. Find v, given that a(v) = 0. -2, 3/5, 4 Let a(z) = -12*z**2 - 264*z - 3. Let u(i) = 9*i**2 + 264*i + 2. Let x(d) = -2*a(d) - 3*u(d). Factor x(k). -3*k*(k + 88) Let p(b) be the second derivative of 3*b**5/50 - 7*b**4/3 + 293*b**3/15 - 18*b**2 + 14*b. Let p(t) = 0. Calculate t. 1/3, 5, 18 Let o = -705 + 699. Let d be 2*((9 - 12) + (-2 - o)). Factor -2/11*h**d + 0*h + 0. -2*h**2/11 Let v(p) = -8*p**2 - 56*p - 48. Let i(s) = -s**2 - s - 1. Let o(f) = -12*f**2 - 36*f - 32. Let l(x) = 8*i(x) - o(x). Let m(u) = 7*l(u) + 3*v(u). Factor m(j). 4*(j + 1)*(j + 6) Let l(j) be the second derivative of -2*j**6/15 + 472*j**5/5 - 18722*j**4 + 221840*j**3/3 - 110450*j**2 + 18*j - 4. Solve l(y) = 0. 1, 235 Find r, given that -444/5 - 2/5*r**2 - 446/5*r = 0. -222, -1 Suppose -58/3 - 4*t**2 - 95/3*t = 0. Calculate t. -29/4, -2/3 Suppose -4*y = 4*k + 152, 3*y + 5*k + 54 = -60. Let c be (-8)/(-9) + y/(-171). Find b, given that 14/9*b**3 - 8/9 + 2/9*b**5 - 2/9*b**2 - 16/9*b + c*b**4 = 0. -2, -1, 1 Let q be (-5)/(-1) + (2/(-4))/((-18)/(-176)). Let b(r) be the second derivative of -1/90*r**6 + q*r**3 + 0*r**2 - 5/36*r**4 + 0 - 13*r + 1/15*r**5. Factor b(w). -w*(w - 2)*(w - 1)**2/3 Let z(y) = 3*y**4 + 16*y**3 + 32*y**2 - 31*y + 5. Let k(r) = 5*r**4 + 34*r**3 + 58*r**2 - 61*r + 9. Let t(j) = 5*k(j) - 9*z(j). Factor t(g). -2*g*(g - 13)*(g - 1)*(g + 1) Let u = 96861 + -96861. Factor 44/7*k + 2/7*k**2 + u. 2*k*(k + 22)/7 Let l(k) be the first derivative of -2*k**4 - 32*k**3 + 0*k - 27 - 1/20*k**5 + 3/2*k**2. Let t(a) be the second derivative of l(a). Factor t(m). -3*(m + 8)**2 Let z be 31716/1133847 - 2/(-13). Factor -z*k**2 + 0 + 2/11*k**4 + 0*k**3 + 0*k. 2*k**2*(k - 1)*(k + 1)/11 Let z(u) be the second derivative of -7*u**6/45 - 103*u**5/30 - 89*u**4/18 + 103*u**3/9 + 32*u**2 + 323*u + 5. Suppose z(y) = 0. What is y? -96/7, -1, 1 Let f(g) be the second derivative of g**4/16 - 69*g**3/4 - 105*g**2 + 3*g + 42. Factor f(v). 3*(v - 140)*(v + 2)/4 Suppose 4*c = 4*n - 40, 1394*n - 3*c = 1393*n + 26. Factor -8/17*v - 2/17*v**4 + 0 + 0*v**n + 6/17*v**3. -2*v*(v - 2)**2*(v + 1)/17 Let q(t) be the first derivative of t**8/1344 - t**7/60 - 11*t**2/2 - 2*t - 168. Let m(x) be the second derivative of q(x). Determine k, given that m(k) = 0. 0, 14 Let k(q) = 7*q + 33. Let x be k(-5). Let f(r) = 12*r**2 - 621*r + 8757. Let i(z) = -3*z**2 + 156*z - 2189. Let o(n) = x*f(n) - 9*i(n). Factor o(m). 3*(m - 27)**2 Let f be 104/(-26)*(2 + (-2780)/16). Let b = f -
{ "pile_set_name": "DM Mathematics" }
(2)/36 Simplify -2 + sqrt(20)/sqrt(4) + 6*sqrt(20)/sqrt(4). -2 + 7*sqrt(5) Simplify (1*sqrt(65)*1)/(1*sqrt(405) + sqrt(405) + sqrt(405) - sqrt(5)). sqrt(13)/26 Simplify -2*((sqrt(833))**2 - sqrt(17)) + 4. -1662 + 2*sqrt(17) Simplify ((0 + sqrt(432))*-1 - (2*sqrt(3) + -2)*-4)**2. 64*sqrt(3) + 112 Simplify sqrt(567) - (-1 + sqrt(567) - sqrt(567))**2 - sqrt(14)/(sqrt(2)*2). -1 + 17*sqrt(7)/2 Simplify (0 + sqrt(76)/sqrt(4))**2 + sqrt(304) + 2. 4*sqrt(19) + 21 Simplify (-1*(sqrt(91)*1 + sqrt(91)))/sqrt(7). -2*sqrt(13) Simplify (3*sqrt(51)/sqrt(3)*-6)**2. 5508 Simplify (1*sqrt(1500))/(6*sqrt(80) + sqrt(5)). 2*sqrt(3)/5 Simplify ((1*sqrt(63))/sqrt(9))**2*-4. -28 Simplify (sqrt(11) + 0)**2 + 3 + -2 + -5 + sqrt(11) + sqrt(11) + 1 + 0. 2*sqrt(11) + 8 Simplify (sqrt(99)*1)**2 + sqrt(11) + -4*sqrt(11) + -1 + sqrt(11). -2*sqrt(11) + 98 Simplify 2 + sqrt(12)/sqrt(4) + -3. -1 + sqrt(3) Simplify (sqrt(68) + 0 + 3 + sqrt(2448)*-1*-2)**2. 156*sqrt(17) + 11501 Simplify (-2 + sqrt(5)*-1 + -5)*-5. 5*sqrt(5) + 35 Simplify -3 + (-2*sqrt(80))**2 + 2 + (sqrt(80) - (1 + sqrt(80)*2))**2. 8*sqrt(5) + 400 Simplify ((-3 + sqrt(35)/(sqrt(7)*-2))*1)**2. 3*sqrt(5) + 41/4 Simplify (sqrt(52)/(sqrt(8)/(sqrt(8)/sqrt(4))))**2. 13 Simplify -4 + (sqrt(108) + 1)**2*-1. -113 - 12*sqrt(3) Simplify 0 + (sqrt(175) + 0)**2*6. 1050 Simplify (sqrt(153)*3*1)**2. 1377 Simplify sqrt(245)*1 - (1 + sqrt(125)). -1 + 2*sqrt(5) Simplify 2 + sqrt(22)/sqrt(2) + ((sqrt(88)*1)/sqrt(8))**2. sqrt(11) + 13 Simplify ((1*sqrt(85)*-2)/sqrt(5))**2. 68 Simplify (sqrt(72) + 3)*-1. -6*sqrt(2) - 3 Simplify sqrt(2057) + (1 + sqrt(2057) + -1 - sqrt(2057)) - (sqrt(187) + sqrt(187) + (sqrt(187)*2 - sqrt(187))*2)/sqrt(11). 7*sqrt(17) Simplify (sqrt(144)/((sqrt(6) - -1*sqrt(6)) + sqrt(6)))/((sqrt(96)/sqrt(2))/sqrt(4) + sqrt(12)). sqrt(2)/6 Simplify -1*(sqrt(275)*1*-5)**2. -6875 Simplify -1*((3 + sqrt(33)/sqrt(3))*-2)**2*4. -320 - 96*sqrt(11) Simplify sqrt(21)/(sqrt(28) - sqrt(7)) - (sqrt(6)*-2)/sqrt(2). 3*sqrt(3) Simplify ((sqrt(117)/(-2*sqrt(9)) + sqrt(104)/sqrt(2))*-5)**2. 2925/4 Simplify sqrt(52)/(sqrt(20)/sqrt(5)) - sqrt(13) - (sqrt(13) + (sqrt(13) - (5 + 1 + sqrt(13)) - sqrt(13))). 6 Simplify (4 + sqrt(32))*2. 8 + 8*sqrt(2) Simplify (4 + (sqrt(7) + -2 + sqrt(7))*2)**2. 112 Simplify sqrt(190)/(sqrt(1210) - (sqrt(1210) - (sqrt(1210) + 2*sqrt(1210)))) - 3*(2 + sqrt(19) + 1). -98*sqrt(19)/33 - 9 Simplify (sqrt(252) + sqrt(252) + -1 - sqrt(7)) + (1 + sqrt(847))**2. 33*sqrt(7) + 847 Simplify sqrt(76)/sqrt(4)*2 - (-3 + sqrt(19) + -1). 4 + sqrt(19) Simplify (sqrt(34) + sqrt(136)/sqrt(16))/(sqrt(2) - (sqrt(2) + 1*sqrt(2)*2 + sqrt(2))). -sqrt(17)/2 Simplify (sqrt(30)/sqrt(6)*6)**2 + -5. 175 Simplify (4*2*4*(sqrt(684) - sqrt(684)*-2))**2. 6303744 Simplify -2*-1*sqrt(72)*-6. -72*sqrt(2) Simplify sqrt(132)/(sqrt(108)*4). sqrt(11)/12 Simplify (2*sqrt(132)*1 + sqrt(132))/(5*sqrt(60)/sqrt(5)). 3*sqrt(11)/5 Simplify sqrt(85)/(-2*(sqrt(5) + sqrt(25)/sqrt(5))). -sqrt(17)/4 Simplify (sqrt(208) - (sqrt(208) - (2 + sqrt(208) + -1))**2) + 2 + sqrt(208)*-1. 1 Simplify (sqrt(48) + sqrt(48)*1 + sqrt(48))*-4*2. -96*sqrt(3) Simplify (4*(sqrt(65)/sqrt(5))**2 + (-2*sqrt(156))/sqrt(12))*5. -10*sqrt(13) + 260 Simplify (sqrt(15)/sqrt(3) + -1 + -6*(sqrt(5) - (0 + sqrt(5) + sqrt(5)) - sqrt(5)))**2. -26*sqrt(5) + 846 Simplify -1*(sqrt(44)*2)/sqrt(4)*-5. 10*sqrt(11) Simplify (sqrt(55)/(1*sqrt(5) + sqrt(5)))**2 - sqrt(88)/sqrt(200). -sqrt(11)/5 + 11/4 Simplify 1 + (sqrt(114)/sqrt(3))/sqrt(2) + (-1*sqrt(76))/sqrt(4) + 4. 5 Simplify (-5*(sqrt(684) - sqrt(19) - sqrt(19))*2)**2. 30400 Simplify 0 + (sqrt(170) + -1*sqrt(170))/sqrt(10). 0 Simplify -1*(0 + sqrt(98)) + (-4*(1 + sqrt(98) - sqrt(98)) - sqrt(98)). -14*sqrt(2) - 4 Simplify ((-2*sqrt(209) - sqrt(209))/sqrt(11) + -3*sqrt(171) + -4)**2. 96*sqrt(19) + 2752 Simplify (sqrt(5760) + 2*sqrt(5760) + sqrt(5760))/(sqrt(128)*-1). -12*sqrt(5) Simplify (-2*sqrt(304) + 4)*-2. -8 + 16*sqrt(19) Simplify ((sqrt(75) + -1 - sqrt(75)) + -5 + (sqrt(75) - ((sqrt(75) + sqrt(75)*2 - sqrt(75)) + 5)))**2. 110*sqrt(3) + 196 Simplify 2*(((sqrt(931) - (-5 + -1 + sqrt(931)))**2 - sqrt(931)) + -1). -14*sqrt(19) + 70 Simplify (sqrt(252) + sqrt(252)*1 - sqrt(252))/sqrt(9)*3. 6*sqrt(7) Simplify (-6*sqrt(1008))/((sqrt(108)*1 + sqrt(108) + sqrt(108))/sqrt(12)). -8*sqrt(7) Simplify sqrt(180)*3 - sqrt(20)/(sqrt(4)*4). 71*sqrt(5)/4 Simplify (sqrt(640)/sqrt(5) + sqrt(2) + 5)**2. 90*sqrt(2) + 187 Simplify (2 + 1 + sqrt(396) - (sqrt(396) + (sqrt(396) - (-3 + 2*sqrt(396))) + sqrt(396))) + -3. -3 Simplify -5 + (sqrt(495)*-3)/(2*sqrt(405) + sqrt(405)). -5 - sqrt(11)/3 Simplify (-4*-5*sqrt(2)*2)**2*4. 12800 Simplify (-5 + sqrt(68)/sqrt(4) + 5)**2. 17 Simplify ((sqrt(4719)*1)/sqrt(3))**2. 1573 Simplify -6*-2*(sqrt(13) + 2). 24 + 12*sqrt(13) Simplify ((sqrt(17) - (-4*sqrt(17) + -5)) + -4*sqrt(833) + sqrt(833))**2. -160*sqrt(17) + 4377 Simplify 1*(-2 + (sqrt(2)*-2)**2). 6 Simplify 2*(sqrt(13) + 2)*-6. -12*sqrt(13) - 24 Simplify 1 + sqrt(5) + 0 + 1 + sqrt(5) + -5 + -2. -5 + 2*sqrt(5) Simplify -4*(1 + (sqrt(110) - -6*sqrt(110)*-2)/sqrt(10)). -4 + 44*sqrt(11) Simplify (sqrt(1500) - (sqrt(1500) + 3*sqrt(1500)))/(1*sqrt(5)*2). -15*sqrt(3) Simplify sqrt(45)/(sqrt(144) - (sqrt(144) + sqrt(144) + (sqrt(144) - (-1*sqrt(144) - sqrt(144) - sqrt(144))))). -sqrt(5)/20 Simplify ((sqrt(2) + -1*sqrt(50))*3)**2. 288 Simplify -2*(sqrt(320) + -4)*6. -96*sqrt(5) + 48 Simplify ((sqrt(330)*2)/sqrt(11))/((sqrt(1440) + sqrt(1440) + sqrt(1440)*1 - sqrt(1440)) + sqrt(1440) + sqrt(1440) + sqrt(1440) - sqrt(10)). 2*sqrt(3)/59 Simplify (sqrt(2448) + (sqrt(2448) + (sqrt(2448)*2 - sqrt(2448)))*-3 + sqrt(2448) + sqrt(2448))**2. 22032 Simplify sqrt(10)/sqrt(2)*-1 - (3 + sqrt(80)). -5*sqrt(5) - 3 Simplify (-4 + -2*sqrt(320) + -1)**2. 160*sqrt(5) + 1305 Simplify -5*(sqrt(88)/sqrt(8)*6)**2. -1980 Simplify (-1*(sqrt(19)*-1 + -5 - sqrt(19))*2)**2. 80*sqrt(19) + 404 Simplify (sqrt(56)/sqrt(288))**2*3*-3. -7/4 Simplify -4*(-1*(sqrt(275)*2 - sqrt(275)) + 0). 20*sqrt(11) Simplify (5*3*(-1 + sqrt(1800)))**2. -13500*sqrt(2) + 405225 Simplify (sqrt(13)*-3*-2 - sqrt(13))**2 + -4*sqrt(832). -32*sqrt(13) + 325 Simplify (1*((sqrt(44) - sqrt(132)/sqrt(3)) + sqrt(44)))/(sqrt(64)*1)*-2. -sqrt(11)/2 Simplify ((sqrt(10)*1)/sqrt(2) + 5*-3*sqrt(5))*3. -42*sqrt(5) Simplify ((5 + -3*(sqrt(17) + 1))*4)**2. -192*sqrt(17) + 2512 Simplify sqrt(2057) - (0 + sqrt(2057)*-1 + sqrt(2057))**2. 11*sqrt(17) Simplify -2 + (1*sqrt(76) + 4)**2. 16*sqrt(19) + 90 Simplify -2 + (sqrt(10) - 5*1*sqrt(10))/(sqrt(4)/sqrt(2)*4 - sqrt(2)). -4*sqrt(5)/3 - 2 Simplify sqrt(2448) - (sqrt(2448) + (sqrt(2448) - 3*2*sqrt(2448))). 60*sqrt(17) Simplify (-3*sqrt(50))/sqrt(10) - 2*sqrt(30)/sqrt(6). -5*sqrt(5) Simplify (5 + 0 + sqrt(304) - sqrt(114)/(sqrt(18)/sqrt(3)*-3))**2. 130*sqrt(19)/3 + 3436/9 Simplify (5 + -2*1*sqrt(192))**2. -160*sqrt(3) + 793 Simplify (sqrt(2178) - (-2*sqrt(2178) - sqrt(2178)))/((sqrt(180)/sqrt(4))/sqrt(5)). 44*sqrt(2) Simplify 3 + sqrt(13) + sqrt(468) + sqrt(13) + (sqrt(13) + (sqrt(13) + sqrt(65)/sqrt(5) + 5 - sqrt(13)))**2. 80 + 28*sqrt(13) Simplify ((sqrt(80))**2 + -4)*-3. -228 Simplify 5 + sqrt(208) + (sqrt(208) + -1)**2 + -5 + sqrt(156)/(sqrt(24)/sqrt(2)). -3*sqrt(13) + 209 Simplify (sqrt(77)*2)/sqrt(11) + 2*sqrt(112). 10*sqrt(7) Simplify (2*sqrt(85))/sqrt(5) + 1. 1 + 2*sqrt(17) Simplify (((sqrt(114)*1 - sqrt(114)) + sqrt(114))/sqrt(2))/(sqrt(3) + sqrt(12)/(sqrt(4) - (sqrt(4) + sqrt(4)*-1))). sqrt(19)/2 Simplify -6*(sqrt(320))**2 + -5. -1925 Simplify sqrt(567) + -2 + 0. -2 + 9*sqrt(7) Simplify sqrt(76)/sqrt(4) + -2 - (sqrt(19) + (sqrt(19) + 1)*-1). -1 + sqrt(19) Simplify (sqrt(27)/(sqrt(9) - sqrt(144)) + ((2 + sqrt(3) + 1)**2 - sqrt(3)))*-3. -36 - 14*sqrt(3) Simplify -2*-2*sqrt(396) + 3. 3 + 24*sqrt(11) Simplify (3 + 1*(sqrt(175)*2)**2)*-3. -2109 Simplify (1*sqrt(704)*1)**2 + 5*sqrt(704)*-2. -80*sqrt(11) + 704 Simplify -1 + -1*sqrt(19)*-2. -1 + 2*sqrt(19) Simplify ((sqrt(136) + sqrt(136) + -6*2*sqrt(136))/(sqrt(16)/(sqrt(12)/sqrt(6))))**2. 1700 Simplify 1 + sqrt(19) + 5 - ((-1*sqrt(304))**2 + sqrt(19)). -298 Simplify sqrt(252) - (4 + (sqrt(252) + -1)**2 + sqrt(252)). -257 + 12*sqrt(7) Simplify sqrt(40)/sqrt(8)*-1 + sqrt(500)*3. 29*sqrt(5) Simplify (6*3*sqrt(30)/sqrt(10)*-6)**2. 34992 Simplify (sqrt(98) +
{ "pile_set_name": "DM Mathematics" }
*b = x + 9, 3*b = -2*x - 7 for x. 4 Let o = 4 - 2. Suppose -10*d = -8*d - 28. Solve o*s - 5*b + d = 0, 2*s + 10 = -0*b + 4*b for s. 3 Let d = -10 + 13. Solve s - 8 = -4*b - d*s, -23 = b - 4*s for b. -3 Suppose 5*r - 140 = -0*r. Let p(l) = l**3 - 4*l**2 - 10*l + 12. Let i be p(6). Solve 4*u = -0*q - 2*q - i, -5*q = 2*u + r for q. -4 Let q(j) = 12*j**2 - 2*j + 1. Let c be q(1). Let h = -11 + c. Solve -4*u - 2*s + h*s - 10 = 0, -s = u for u. -5 Let y(x) = x**3 - 10*x**2 - 10*x - 16. Let t be y(11). Let d be 2 - 0 - (4 + t). Solve d*p - 10 = -4*h, h - 3*p = -2*h - 3 for h. 1 Let n be 93/18 - (-2)/(-12). Solve n*g = 6 + 19, 0 = 4*w - 5*g + 25 for w. 0 Let j be (-1)/(-1)*6*1. Let z = -1 + j. Solve 3*w - 2*q = 0, z*q + 9 = 4*w + 2 for w. -2 Suppose -9 + 0 = -3*x. Let u = x + -10. Let h = u + 10. Solve -2*p = -6*p + 5*q + 3, 0 = 5*p - h*q + 6 for p. -3 Let v be (-5 + 20/1)*(-2)/(-2). Solve -l = 5*b + v, l - 2*b = 1 - 2 for l. -5 Suppose -3*y = -4*o + 2*y - 4, 4*y = 16. Solve -k = -z + 4 - 3, -z = -o*k - 7 for k. -2 Suppose 0 = -7*h + 4*h + 12. Let u = -1 - -6. Solve -u*j - 5 = -2*t, h*j + 1 + 3 = 4*t for t. 0 Let t(b) = 4*b - 4*b + b. Let h be t(2). Suppose 8*m + 114 = 234. Solve 4*k + m = a, -h*k - k - 12 = -a for a. 3 Let m(c) = -c**3 + 2*c**2 + 3*c + 3. Let f = 0 - -3. Let w be m(f). Let k = -25 + 32. Solve -2*z - i - k = 0, 2*z - w*i = -0 + 5 for z. -2 Suppose 4*l = n - 2*n - 1, 3*n = 5*l + 14. Suppose 2*g - g - 1 = 3*p, 0 = -2*p. Suppose -g = 2*q - 5. Solve 5*r + 2*u = 35, n*r + q*u + u - 30 = 0 for r. 5 Suppose 0 = -g - 4*g, 2*g = -u + 3. Solve 0 = -4*c - u*o, 2*c + 3 = -o + 1 for c. -3 Suppose 0 = f - 2 - 2. Suppose 0*y - 4*y = -44. Let u(i) = i**3 - 4*i**2 + 3. Let s be u(4). Solve p + y = -f*p + k, 4*p - s*k + 11 = 0 for p. -2 Let w be (3 - 1)*(-29)/(-2). Let t = w + -25. Solve -a - 2*a = -l + 3, 12 = t*l for a. 0 Let h(t) = -3*t + 3. Let i be h(-7). Suppose 4 = 2*n - i. Solve o - 4*p + 19 = -0*p, o = 3*p - n for o. 1 Let d be 117/45 - (-4)/10. Suppose -f - 2*h = 2*f + 1, 3*f - h - 14 = 0. Solve 3*w + f = 4*o, 2*o = 3*w - d - 0 for w. 3 Let w = 18 - 6. Let x be (-1)/7 + 360/70. Solve 4*z = 4*a + w, 2*z - x*a = -2*z + 10 for z. 5 Suppose n + 1 = -3*w + 14, n - 5*w = -11. Solve 4*d + 16 = n*m, 0*d + 5*m = 4*d + 18 for d. -2 Suppose -4*d + 2*a - 3 = -1, -d + 4*a = 11. Let r(z) = 5*z**2 - 2*z + 1. Let t be r(d). Let i be t/18 - (-2)/(-9). Solve x + c - 8 = -2*x, i = 5*c + 5 for x. 3 Suppose 0 = -0*f - 2*f. Let z(u) = 2*u + 4. Let l be z(f). Solve 0 = -2*t + 5*r + 7, l*t - 3*r + 2*r = -13 for t. -4 Suppose 4 - 2 = 2*s, 11 = 2*l + 5*s. Suppose -3*c + 0*z + l*z + 69 = 0, 0 = -z - 3. Solve 0 = a + 6*b - 4*b + 12, 0 = 4*a + b + c for a. -4 Suppose -2*k + 3 = -5. Suppose 0 = -0*v - k*v - 16. Let m be (7 + v)/(3 + -2). Solve -14 = -m*i + w, -4 = i + 5*w - w for i. 4 Suppose 6 - 54 = 4*m. Let i(y) = y - 17 - 2*y + 9. Let h be i(m). Solve -4*f = -h*r + 4, 3*f - f + 16 = -5*r for f. -3 Let l = -6 - -8. Let s(c) = -5*c - 5. Let n be s(-5). Suppose 3*x + 18 = -0*w + w, 2*w = l*x + n. Solve -2*d = -0*d + t - w, -5*d - 15 = -5*t for d. 1 Let v = -19 + 29. Solve 0 = 4*z - z + o - 13, 0 = -2*z + 4*o - v for z. 3 Let o be 2*(5/2 - 3). Let c be (-6)/o*(-3)/(-6). Solve -10 = -5*t, -4*j + c*t - 2*t = -18 for j. 5 Suppose 4*c - 28 = 4*s, -4*c + 2*s = -15 - 5. Solve 3*l = c*n, -3*n - 6 = -4*l - l for n. 3 Let a(u) = -2*u**3 - 5*u**2 - u + 4. Suppose 0 = -5*b - 5 - 10. Let i be a(b). Solve 19 = 5*t - d, t + d = 5*t - i for t. 3 Suppose -6*l = -2*l - 4. Solve -j - 4*q = -5*j - 4, -j + 2*q = -l for j. -3 Let g(y) = -y**3 + 2*y**2 + 9*y + 2. Let d be g(4). Let c(w) = w**2 - w - 1. Let b be c(3). Solve 2*i = b*r + 15, 2*r - d*r = -5*i - 5 for i. -5 Let m be (0/(-1 + 3) + 5)*1. Solve m*j = -5*u + 10, 5*j - 7*j + 2 = u for u. 2 Suppose -10*f + f = -18. Solve -4*l + f*m - 18 = 0, -2*m - 5 = 5*l + 13 for l. -4 Let y be -3 - 2/((-4)/10). Solve s = 5*q + y*s, -4*q + 2*s - 14 = 0 for q. -1 Let s be (-17)/(-4) - 5/20. Suppose n + n = s. Solve 0 = -5*k + n*b - 3 + 12, -10 = 5*b for k. 1 Suppose -2*h + 2 - 6 = t, -4*t + 36 = -5*h. Let v = h - -7. Solve -4 = 3*m - 4*j, 0 = 2*m - 0*j - 3*j + v for m. 0 Let f(i) = -15*i**2 + i. Let j be f(-1). Let q = -9 - j. Let g = -12 + 23. Solve 0 = -2*x + 5*b + g, x = 4*x + 2*b - q for x. 3 Let n be (-20)/(-6) + (-12)/(-18). Let v be (n - -1)*(-3)/(-3). Solve -d + 3*d + 2 = 2*t, v*d - 15 = t for t. 5 Suppose 0 = 5*l - 198 - 222. Suppose -4*j + 84 = 4*q - q, 0 = 4*j + 4*q - l. Suppose -5*z + 3*z + 8 = 0. Solve g + z*u + j = 0, -2*g + 4*g = -3*u - 22 for g. -5 Suppose -u - 2 = 2*i, 3*i + i = -4*u. Suppose d = -u*d. Solve l - 2 = 0, d*p + 4*p - 4*l + 8 = 0 for p. 0 Let p be 1 - 1 - (1 - 2). Suppose -3*o + 10*o = -7. Let z = p - o. Solve 0 = -2*y - y - 5*s + 10, y - z*s - 7 = 0 for y. 5 Let j be ((-46)/(-23))/(2/6). Solve -23 + 2 = 3*c + 4*f, -j = -c + 3*f for c. -3 Let j = -7 - -6. Let x be 7 - -1 - (2 + j). Suppose 0 = -5*f + 5*l, -5*l = 4*f + x - 52. Solve f*v - 15 = 0, 0 = -4*o - 5*v - 0*v + 27 for o. 3 Let n(j) = -j**2 - 6*j + 3. Let p be n(-6). Let s be ((-15)/(-5))/((-3)/(-35)). Solve -3*b + 2*b = i, 0 = p*b - 4*i + s for b. -5 Let i(k) = -2*k**2 + 5*k**2 - 4*k + 3*k + 2*k**2 + 7 - k**3. Let p = -4 + 9. Let u be i(p). Solve -3*m - 11 = -4*v, -8 = -4*v + 2*m + u*m for v. 5 Let r = -9 + 9. Solve 0 = 4*u + 5 - 13, -x + u + 2 = r for x. 4 Let a(p) = -p. Let d be a(-2). Suppose 4*b - d - 18 = 0. Suppose 118 = b*o + 28. Solve 0 = -c + 4*m - o, 5*c + 2*m + 22 = 5*m for c. -2 Suppose -2*z + 10 = 4. Let h be 4/(z/3) + -2. Solve -2*x = h*n, x = -2*x + 2*n - 10 for x. -2 Let k(y) = -y**2 + 11*y - 14. Suppose -g = 4*h - 14, -3*h = 6*g - 3*g - 33. Let w be k(g). Let i = -1 - w. Solve 0*p - 1 = p + c, -p - i*c - 3 = 0 for p. 0 Let v = 12 + -13. Let a = 5 + v. Solve -f - 2 = a*d, 5*f - 13 = 5*d + f for d. -1 Let o = 10 - 0. Let f be (-1)/(-3) - o/30. Solve -5*q + 4*b + 4 = f, -5*q + 3*b = -q - 4 for q. 4 Suppose 1 + 3 = h. Suppose -5*t + 400 - 37 = -u, 2*t + 2*u - 138 = 0. Suppose 2*l = -2*f + 26, -f + l + t = 3*f. Solve b = -b + 3*s + 1, s = h*b - f for b. 5 Let p(q) = -q**2 - 5*q. Let n be p(-5). Suppose 5*a = 10 + 30. Let m be (a/10)/((-2)/(-15)). Solve -2*z + x - 5 = n, m = 4*z + x + 13 for z. -2 Let w = -6 - -10. Suppose 5*g - 5 = 15. Solve w*j = -g*a, a = -0*j + j for j. 0 Let y be 12/(-9)*18/(-12). Let b be y/7 + 828/42. Solve -3 = 5*c + 2*g + 5, 3*c + 5*g + b = 0 for c. 0 Suppose 5*l - y - 21 = -4, -12 = -2*l + 3*y. Solve -5*h = -3*p - 6, l*p - p = 5*h - 4 for p. -2 Let q be 3/4 + 65/20. Suppose -3*c + 6*c - 6 = 3*r, c = 3*r - q. Solve -m - 2*z = r*m - 4, -1 = -m - 3*z for m. 1 Let h(s) = s - 3. Let w be h(3). Suppose w = 3*r - 0*i + 4*i - 13, 0 = 2*r - i - 5. Suppose -r*u = -u - 6. Solve -15 = 2*v - 5*v + u*m, -4*m = 5*v + 11 for v. 1 Let y(b) = b + 15. Let g be y(-12). Suppose 2*q = -g*q - 3*v + 13, v + 3 = 2*q. Solve -r - d = -1, q*r + 2 = 3*r + 2*d for r. 0 Let d be 0/(3/(-6)*-2). Solve d = -3*y, -2*y - 8 = -2*j - 0 for j. 4 Suppose 0 = 14*i - 207 + 53. Let x be (-136)/(-14) + (-2)/(-7). Solve v - 2*y = 4*v + i, 2*v + 2*y = -x for v. -1 Let s = -67 - -69. Solve 0 = -s*n + i - 5, -i = -5*i - 12 for n. -4 Let d(w) = -5*w**2 - w + 1. Let q be d(2). Let m = q + 23. Solve -4*z + 16 = 0, -m*y + 4*z - 21 = -7*y for y. 1 Let q(u) = u**3 + 11*u**2 - u - 8. Let g(i) = 3*i + 1. Let y be g(-4). Let o be q(y). Solve -2*w - 40 = o*w + 5*k, 7 = w - 2*k for w. -3 Let n(o) = o**3 + 3*o**2 - o - 3. Let i be n(-3). Suppose 0 = -5*v + 24 + 61. Solve -5*d + 5*j - 2*j - v = i, -2*d + j - 6 = 0 for d. -1 Let l = -21 + 8. Let v = -9 - l. Suppose 6 + 2 = v*q. Solve q = 3*c + w, 2*c + 10 = -3*w + 8*w for c. 0 Let t be (-58)/(-4) - (-6)/12. Solve 0 = 4*h - 3*b - t, 0*h = 4*h - 4*b - 16 for h. 3 Let a(c) = c**2 - 8*c - 61. Let z be a(13). Solve -4 = h, -h + 2 - z = x for x. 2 Suppose 8*a + 40 = 28*a. Solve 0 - 5 = o + a*v, -4*v = 0 for o. -5 Let v be ((-4)/12)/((-1)/9). Let l be 1/(-5*(-2)/50). Solve -3*d = 3*q, -v*q - 6 = l*d + 4 for d. -5 Suppose -3*j + 0*j = 0. Solve -3*w = -k - 14, 4*w + 5*k + 13 = -j*k for w. 3 Suppose -i = 2*t - 2, 0 = -2*i - 0*t - 3*t + 3. Suppose -4*p + i*p = -20. Suppose 0 = 3*g - p*g. Solve -2 = 2*q - 4*k, 5*q + g*k + 4*k = -19 for q. -3 Suppo
{ "pile_set_name": "DM Mathematics" }
n be 1 - (5 + -3 + o). Give a(n). 4 Let q(f) = 4*f**3 - f**2 - f + 1. Let u be q(1). Suppose -y + 2*y - v = -u, 2*y - 5*v = -12. Let h(j) = -4*j. Calculate h(y). 4 Let r(p) = -11*p**2 + 5*p + 3. Let j(k) = 11*k**2 - 4*k - 2. Suppose -2*l + 13 = 2*l - v, 0 = 5*l + 4*v - 32. Let t(h) = l*j(h) + 3*r(h). What is t(1)? 11 Let l(q) = q - 12*q**2 + q + 6*q**2 + 5 + q**3. Calculate l(4). -19 Let o(n) be the first derivative of n**6/180 + n**5/40 - n**4/12 + n**3/3 + 3. Let l(q) be the third derivative of o(q). Give l(-3). 7 Let l = 162 + -155. Let w(h) = -h - 9. Determine w(l). -16 Let a(c) = -c**3 + 7*c**2 - 5*c - 8. Let l be a(6). Suppose -3 = -n + 1. Let b(x) = -x. Let t(j) = 3*j + 1. Let r(z) = n*b(z) + t(z). Calculate r(l). 3 Let o(y) = 6*y - 8 - 3*y + y**3 + 2 - 11*y - 8*y**2. Determine o(9). 3 Let q(k) = -k**3 - 4*k**2 + 7*k + 3. Suppose 3*m - 5 = 4*m. Calculate q(m). -7 Let k(v) = v + 4. Let x(w) = w + 4. Let i(l) = -2*k(l) + 3*x(l). Give i(-5). -1 Let w(s) = 176*s - 9*s**2 - 2*s**3 + 3*s**3 + 0*s**3 + 9 - 169*s. What is w(8)? 1 Let s(z) = z**3 + z**2 + 1. Let p(d) = 0 + 9*d - 3*d - 3*d**2 + 3 + 4*d**3. Let t(o) = -p(o) + 3*s(o). Determine t(5). -5 Let o(w) be the third derivative of w**6/60 + w**5/60 + w**4/24 - w**2. Suppose 5 = 4*p - 3*m, m = 2*p + 2*p + 1. Calculate o(p). -2 Suppose 3 = q - 0*q. Let a(s) = -3*s + s**2 + 0*s - 1 + q*s - 4*s. Let i be 1 - (-2)/(1 - 0). What is a(i)? -4 Let t(p) be the third derivative of p**4/6 - p**3 + p**2 + 23. Let c = -7 - -11. What is t(c)? 10 Let c = 23 + -19. Suppose -c*v = -9*v - 30. Let s(a) = 2*a + 9. What is s(v)? -3 Let z(d) = 2*d + 2. Let j = 12 + -6. Let h = j + -2. What is z(h)? 10 Let s = -219/4 + 55. Let u(c) be the first derivative of 1 - s*c**4 + 0*c**2 - 2/3*c**3 + 0*c. Calculate u(-2). 0 Let r(s) = 5*s - 7. Let t(u) = -3*u + 4. Let q(g) = -4*r(g) - 7*t(g). Determine q(6). 6 Let f = 19 - 26. Let d(j) = -j**2 - 7*j + 3. Calculate d(f). 3 Let r(f) = -3*f - 5. Let i = -84 - -79. Calculate r(i). 10 Let n(h) = -h**3 + 2*h**2 + 6*h - 2. Suppose -4*x + 9*x + 15 = 0. Let a be -2 + (5 - 3/x). Calculate n(a). -10 Suppose -m = m - s + 3, m - 5*s + 24 = 0. Let t(x) = 4*x + 1. Determine t(m). 5 Let w(g) = -g**2 - 4*g + 8. Let n be w(-5). Let f(j) = j**2 - 2*j. Determine f(n). 3 Let y(v) = -2*v**2 + 2*v + 2. Suppose b = 5*b - 12. Let l be -1*(b + -5 - 0). Calculate y(l). -2 Let k(f) = f**3 - 7*f**2 + f - 3. Suppose -4*i = 2*l - 126, 0 = i + 3*i - l - 117. Suppose 2*a + 18 = 2*b - 2*a, i = 4*b - 2*a. Calculate k(b). 4 Let g(c) = -2*c + 4. Let a be 3/3 + 0 + 0. Let x(k) = k - 1. Let d(p) = a*g(p) + 3*x(p). Let z = 0 - -2. Give d(z). 3 Let h(d) = 2*d**3 + 2*d**2 - 3. Let n(x) = -x**3 + 1. Let w(s) = -h(s) - n(s). Let a = -5 + 3. Determine w(a). 2 Let m(o) be the third derivative of -o**5/60 + o**4/4 - o**3/6 + o**2. Let b be m(6). Let k(p) = 5*p. Determine k(b). -5 Let f = 2 + -5. Let y(j) = 5*j**2 + 2*j - 5. Let a(x) = 5*x**2 + 2*x - 4. Let c(p) = f*y(p) + 4*a(p). Calculate c(1). 6 Let s(b) = -3*b**2 - 8*b + 4. Let w = -14 + 9. Let l(r) = 3*r**2 + 7*r - 4. Let z(t) = w*l(t) - 4*s(t). Determine z(-3). -14 Suppose 0 = -2*w - 3*w + 10. Let q(g) = 5*g**2 - 4*g**w + 2 - 3*g**2. Let s be (4 + -1)/(9/(-6)). What is q(s)? -6 Let h(b) = -2*b - 2. Let j = -4 - -8. Suppose 3*m - 2*m = -j. Determine h(m). 6 Suppose -16*o = -21*o - 5. Let x(g) = -2*g**2 + 1. What is x(o)? -1 Let f(q) = q**2 - q - 1. Let l(a) = a**3 + 4*a**2 - 4*a - 15. Let j(o) = 4*f(o) - l(o). Calculate j(0). 11 Suppose -5*u - 5 = -35. Let c(r) = -2*r**2 + u*r**2 - 8*r**3 + r - 3*r**2 - 2*r**3. Give c(-1). 10 Suppose -3*p + 4 + 9 = -2*z, -5*p = 2*z - 27. Let b be 4 - z/((-3)/(-9)). Let w(y) = 3*y**2. Give w(b). 3 Let v(q) = -3*q + 1. Suppose 7*g - 2 = 9*g. Determine v(g). 4 Let t(k) = -6 + 1 + k + 3. Let o(r) = -r**3 + 6*r**2 + r - 3. Suppose v + 4*p = -v + 16, 4*p + 2 = v. Let f be o(v). What is t(f)? 1 Let d(v) be the first derivative of -v**6/60 + v**5/60 - v**4/24 + 2*v**3/3 - 1. Let t(n) be the third derivative of d(n). Calculate t(1). -5 Let z(x) = 2*x**2 - 3*x + 2. Suppose -5*t = 4*c + 3, 2 = 4*c + 2*t - 4. Calculate z(c). 11 Let p(l) = 3*l**2 + 9. Suppose -2*i - 6 = -0*i. Let f(y) = -2*y**2 + y - 8. Let g(n) = i*p(n) - 4*f(n). Determine g(-5). 0 Suppose 5*k + 4*n - 1 = 0, 2*k + 5*n - 2*n - 6 = 0. Let i = 2 - k. Let u be 1/i - 48/15. Let s(w) = w - 1. What is s(u)? -4 Let x(v) = 12*v + 3 + v**3 - 19*v + 2*v**2 - 9. Calculate x(-4). -10 Suppose 8 = 7*r - 5*r. Let k(u) = -r*u - 5 + 3*u + 3. What is k(-4)? 2 Suppose -3*f - 8 = -5*f. Let b be -3*5/((-15)/f). Let t(u) = u**3 - 4*u**2 - u - 4. Give t(b). -8 Let n be 2/4*(-3 - -11). Let r = 9 - n. Let g(u) = -u**3 + 4*u**2 + 5*u - 6. Calculate g(r). -6 Let w(v) = -6*v**2. Suppose -2*f + 3*f + 1 = 0. What is w(f)? -6 Let j(y) = -2*y - 4. Suppose -q + 4*q - 6 = 0. Suppose -5*v - 6 = 2*n, 3*n + 2*n = -q*v - 15. Suppose -3*g + r - 11 = v, -r + 2 = -0. Calculate j(g). 2 Let q(t) be the second derivative of -3*t - 1/2*t**2 + 1/12*t**4 + 0 - 7/6*t**3. What is q(6)? -7 Let y be (-8)/(-28) + (-360)/(-14). Suppose y = -5*w + 6. Let v(b) = b**2 + 5*b - 3. What is v(w)? -7 Let r(i) = i**3 + 6*i**2 + 7*i + 3. Suppose -28*k - 50 = -18*k. What is r(k)? -7 Let x(b) = -3*b**2 + 2*b + 1. Let l(m) = m**3 - 5*m**2 + m - 6. Let k be l(5). Give x(k). -4 Suppose u + 5*t = -0*u - 9, -5*u + 11 = -3*t. Let r(m) = -m**2 - m**2 + u + 3*m**2. Determine r(-3). 10 Let n(q) be the third derivative of -q**6/120 + q**5/15 - q**4/8 + 2*q**3/3 + q**2. Determine n(3). 4 Let z(w) = -4 + w - 4 + 26 - 10. Calculate z(-11). -3 Suppose 7 = 2*q + 5*b - 20, -q + 3*b - 14 = 0. Let i(y) = -3*y**3 + y**2 + y - 1. Give i(q). -2 Let f be 2/(-3)*18/(-4). Let x(v) = v**2 - 5*v + 4. What is x(f)? -2 Let g(l) = l - 8. Suppose 0 = 2*a + 3*a + 30. Calculate g(a). -14 Let h(t) = t**2 - 7*t + 1. Let r be h(7). Suppose v - 3 = -r. Let l(p) = 2*p**2 + p - 2*p + 2 - 3. Calculate l(v). 5 Let z(a) = -a + 8. Let t be z(6). Let d(r) = -2*r**3 + 2*r**2 + 2*r. Determine d(t). -4 Let k(q) = 13*q - 11 - 29*q + 14*q. Determine k(-9). 7 Let r(b) = -b**3 + 6*b**2 - 5*b. Let x = 119 - 115. Determine r(x). 12 Let c = -24 - -36. Let n be ((-9)/c)/((-1)/(-4)). Let h be (n - -1 - 0) + -2. Let a(y) = 2*y. Determine a(h). -8 Suppose -4*a - 8 = -0*a. Let k be a/(-4) + 9/6. Let h(c) = 3 - 5*c**k + c**3 + 5*c**2 - c**2. Give h(0). 3 Let u(g) = g**3 - 8*g**2 - g + 7. Let j(y) = -y**3 + y**2 - y - 1. Let r(p) = -2*j(p) - u(p). Suppose 2*n + 4 = -3*b, 3*b = 5*n + 7*b + 17. Determine r(n). 5 Let l be -2 - (2 - 0/(-3)). Let z(p) = 2*p**2 - 4*p - 2. Let r(s) = 3*s**2 - 8*s - 3. Let v(b) = -3*r(b) + 5*z(b). Give v(l). -1 Let j be 3/(6/(-4)) + 3. Let t(g) = -6*g**3 + 2*g**2 - 1. Determine t(j). -5 Suppose -5*c = 4*t - 31, -4*t + 8 = -8. Let l(z) = 3*z**3 + 2*z**3 + z + z**2 - 2*z**3 + 1 + 3*z**c. What is l(-1)? -5 Suppose 20 = -4*i + 2*s + 4, 5*i = -3*s - 31. Let n(q) = q**2 + 7*q + 7. What is n(i)? -3 Suppose 0 = 3*d - 2 - 10. Suppose x = 2*q - 10, -d*x + 3*x - q = 1. Let z(b) = -b - 6. What is z(x)? -2 Let y(g) = -g**2 + 6*g + 7. Let i be (-3 - 0) + (12 - 2). Determine y(i). 0 Let n(d) be the second derivative of 2*d**4/3 - 12*d. Let b(x) = x**2 + 6*x - 6. Let m be b(-7). Calculate n(m). 8 Let k(v) = 5*v - 4. Let a(y) = -9*y + 8. Let f(t) = 6*a(t) + 11*k(t). Let m = -25 + 38. Let z = m - 8. Give f(z). 9 Let c be ((-3)/5)/((-2)/10). Suppose -1 - c = -4*o. Let i(x) = -x**3 - x. Determine i(o). -2 Let l(b) = b**2 + 1. Let q(j) = 3*j**2 + 0*j + j + 2 + 4*j - 3*j. Let t(v) = -2*l(v) + q(v). Let n be t(-3). Let m(u) = 2*u + 1. Give m(n). 7 Let c(q) = 3*q + 1. Let d(w) = -9*w + 50. Let a be d(6). What is c(a)? -11 Let h(f) = 3*f**2 + 4*f + 1. Let w be (-16)/6 - (-1)/(-3). Give h(w). 16 Suppose j = -j - 4. Let a(t) = -6 + 1 + t + 3 + 3. What is a(j)? -1 Let k = 71 + -77. Let d(w) = -6*w**2 - 6*w + 4. Let h(p) = -p**2 + 1. Let y(r) = d(r) - 5*h(r). Determine y(k). -1 Let n be 0*((-6)/4 + 2). Suppose n = -5*d + 2*d + 21. Let v(t) = -3*t**2 + t**3 - 2 + d*t**2 + 5. Give v(-4). 3 Let k(r) = -3*r + 3*r - 6 - 3*r. Give k(-4). 6 Let v(w) = w**2 + 15*w + 19. Let y be v(-14). Let a(p) = -p**3 + 7*p**2 - 7*p + 5. Determine a(y). 20 Let c(f) = -2. Let r(p) = -p - 1. Let m(d) = c(d) - 2*r(d). Suppos
{ "pile_set_name": "DM Mathematics" }
e -7 divided by -21. 1/3 Divide 4389 by -209. -21 -5678 divided by 1 -5678 Calculate -2 divided by 312. -1/156 5100 divided by -85 -60 Divide 300 by 150. 2 Divide -294 by -8. 147/4 Calculate -369 divided by 4. -369/4 What is -22 divided by -67? 22/67 Divide 3425 by -3425. -1 What is 3543 divided by -3? -1181 -64 divided by -1 64 What is -12 divided by 1? -12 Calculate -720 divided by 120. -6 Calculate -13 divided by 241. -13/241 Divide -453 by -453. 1 Calculate -1 divided by -166. 1/166 Calculate -2180 divided by 436. -5 Divide 0 by -136. 0 -186 divided by -186 1 What is -135 divided by 27? -5 Divide 139 by 139. 1 1838 divided by -919 -2 What is -5 divided by 70? -1/14 What is 0 divided by -4776? 0 What is 25 divided by -15? -5/3 What is -3240 divided by -6? 540 What is 2112 divided by -528? -4 Calculate -493 divided by -5. 493/5 -5976 divided by -664 9 -2 divided by -571 2/571 What is 332 divided by 2? 166 Divide -2470 by -130. 19 Divide 10034 by -29. -346 Calculate -2656 divided by 4. -664 36 divided by 6 6 What is 77 divided by -77? -1 -1 divided by 35 -1/35 What is 4 divided by 8277? 4/8277 Calculate 4 divided by -7165. -4/7165 -5 divided by 14 -5/14 134676 divided by -6 -22446 Divide 460 by 6. 230/3 What is 348 divided by 4? 87 Divide -4 by 2127. -4/2127 10665 divided by 3 3555 What is 5 divided by 634? 5/634 -6 divided by 134 -3/67 Divide 2270 by -5. -454 Calculate -67 divided by 4. -67/4 245045 divided by 5 49009 Calculate 98 divided by -1. -98 Divide 66 by -84. -11/14 -3663 divided by 9 -407 -65 divided by -13 5 Calculate 0 divided by -403. 0 Calculate -2045 divided by -409. 5 Calculate 350 divided by -14. -25 Divide 0 by 503. 0 Divide 224 by 56. 4 Calculate -3220 divided by 460. -7 Calculate 9 divided by 3. 3 What is -7684 divided by 2? -3842 What is -3485 divided by -697? 5 Calculate 686 divided by -7. -98 -3 divided by -106 3/106 Divide 852 by -2. -426 What is 5 divided by 98? 5/98 592 divided by -8 -74 What is -1 divided by -39? 1/39 What is -624 divided by -78? 8 Divide -1325 by 265. -5 -15 divided by 125 -3/25 What is 16 divided by -3? -16/3 What is -1788 divided by -298? 6 Divide 0 by 15. 0 What is 623 divided by -7? -89 -57 divided by -57 1 Calculate 5 divided by 188. 5/188 Divide -6 by 91. -6/91 Calculate 6 divided by -14. -3/7 -14 divided by -2 7 2 divided by 31 2/31 Divide -544 by 8. -68 What is 17 divided by -7? -17/7 Calculate -1182 divided by 4. -591/2 Divide -8 by 34. -4/17 Calculate -364 divided by 91. -4 Calculate -8 divided by -224. 1/28 Calculate 16 divided by -43. -16/43 Divide 27880 by 5. 5576 Calculate 220 divided by 220. 1 What is -54 divided by -5? 54/5 203 divided by -4 -203/4 Divide 9 by 9. 1 Divide 702 by 234. 3 What is 2 divided by 3815? 2/3815 What is -10 divided by 108? -5/54 Divide -7128 by 1782. -4 What is 7308 divided by -6? -1218 -5 divided by -55 1/11 Calculate 8 divided by -141. -8/141 Calculate -82 divided by -7. 82/7 What is 129 divided by -43? -3 What is 225 divided by 225? 1 Divide 25 by 200. 1/8 What is 2 divided by -2254? -1/1127 -804 divided by 4 -201 Divide 11544 by -4. -2886 What is 4272 divided by -8? -534 2 divided by 42 1/21 Divide -100 by 2. -50 What is -900 divided by 180? -5 Calculate -63300 divided by -6. 10550 796 divided by -796 -1 Divide 777 by -2. -777/2 Divide 1680 by -420. -4 608 divided by -2 -304 Divide 85 by -27. -85/27 What is 4245 divided by 2? 4245/2 Calculate 60 divided by -16. -15/4 Calculate -296 divided by 74. -4 What is 3 divided by -1587? -1/529 What is 3306 divided by 1653? 2 What is 381 divided by -3? -127 Divide 0 by 6481. 0 Calculate 3 divided by 514. 3/514 Divide 541 by 9. 541/9 Calculate -7566 divided by -78. 97 3 divided by 12 1/4 What is 2325 divided by 93? 25 -735 divided by -3 245 Calculate -3474 divided by -579. 6 Calculate 19322 divided by -2. -9661 -9 divided by 38 -9/38 Divide 3 by 32. 3/32 What is -4 divided by 12? -1/3 What is -6 divided by -82? 3/41 Calculate 83 divided by 20. 83/20 What is 168 divided by 76? 42/19 2 divided by -3491 -2/3491 Calculate -358 divided by -179. 2 Divide -600 by 40. -15 7 divided by 45 7/45 Divide -2 by -14. 1/7 Calculate 407 divided by 15. 407/15 -20050 divided by 2 -10025 Divide -384 by 128. -3 What is 392 divided by 196? 2 Divide 580 by 3. 580/3 Divide 1448 by 2. 724 6 divided by -181 -6/181 What is 5 divided by 3131? 5/3131 Calculate -1 divided by 2083. -1/2083 What is -612 divided by -1? 612 What is -3916 divided by 2? -1958 1034 divided by -94 -11 1720 divided by -344 -5 852 divided by -6 -142 3 divided by 48 1/16 Divide 49788 by 6. 8298 -60 divided by -12 5 Calculate -1 divided by -33. 1/33 Calculate 9 divided by 1277. 9/1277 Divide 13680 by -45. -304 Divide 5404 by -14. -386 Calculate -2 divided by 2017. -2/2017 What is 69 divided by 4? 69/4 4 divided by -2201 -4/2201 Calculate -4824 divided by -8. 603 Calculate 5 divided by -386. -5/386 Divide -13416 by -559. 24 Divide 1 by 14. 1/14 Divide -76 by 4. -19 Divide -1 by -154. 1/154 106 divided by 6 53/3 Divide 12 by 12. 1 Divide -552 by -1. 552 53 divided by 4 53/4 Calculate 168 divided by -28. -6 What is 1 divided by -1? -1 3000 divided by 4 750 Calculate -95 divided by -3. 95/3 Divide -12027 by -2. 12027/2 What is 5 divided by -76? -5/76 What is -46 divided by 36? -23/18 What is 17 divided by -553? -17/553 What is -11 divided by -17? 11/17 Divide -224 by 56. -4 58032 divided by 6 9672 Calculate 36 divided by 3. 12 Calculate -5 divided by 10. -1/2 What is -4484 divided by 2242? -2 -104 divided by 3 -104/3 Divide 99 by 37. 99/37 -25 divided by -37 25/37 What is -459 divided by 27? -17 What is 187 divided by 4? 187/4 What is -1248 divided by -32? 39 Calculate -36 divided by -9. 4 Calculate -152 divided by 81. -152/81 Calculate -465 divided by 5. -93 34 divided by -26 -17/13 What is -121 divided by -121? 1 5 divided by -18 -5/18 Divide 23 by -4. -23/4 Divide 26 by -514. -13/257 -150 divided by -3 50 3882 divided by 1294 3 Divide 4496 by 4. 1124 Divide 193 by -40. -193/40 What is 3 divided by -313? -3/313 -255 divided by 51 -5 Divide 17460 by -2910. -6 3431 divided by -6 -3431/6 What is 11340 divided by 6? 1890 -1102 divided by -29 38 Divide 912 by 3. 304 Calculate 52 divided by 4. 13 -9 divided by 1631 -9/1631 Divide 138 by 69. 2 What is 21342 divided by 6? 3557 Divide 12762 by -4254. -3 Calculate -31 divided by 31. -1 -7014 divided by 6 -1169 -2 divided by -456 1/228 Divide 1680 by 5. 336 582 divided by -3 -194 Divide -4 by -142. 2/71 What is -4676 divided by 1? -4676 What is -992 divided by 4? -248 178 divided by 5 178/5 Divide -78456 by -6. 13076 -816 divided by -6 136 3150 divided by 3 1050 What is 3416 divided by 14? 244 What is -522 divided by 174? -3 Divide -2047 by 89. -23 Calculate -8250 divided by 150. -55 -17 divided by 146 -17/146 Calculate 2407 divided by -1. -2407 Calculate 168 divided by -56. -3 Divide -392 by -98. 4 What is -5094 divided by -6? 849 511 divided by 73 7 Divide -3134 by -1567. 2 -366 divided by 110 -183/55 What is -493 divided by -5? 493/5 What is -4782 divided by -1594? 3 What is -8 divided by 13? -8/13 What is 40836 divided by 6? 6806 Calculate 20104 divided by -5026. -4 7904 divided by -1976 -4 Calculate 39 divided by -466. -39/466 Divide 1395 by -93. -15 What is 4403 divided by 119? 37 Divide 92 by -2. -46 Calculate 8 divided by -111. -8/111 Divide -3867 by 1289. -3 Calculate -68 divided by 17. -4 -5 divided by 25 -1/5 Divide 4360 by -545. -8 What is -3 divided by -28? 3/28 What is 279 divided by -3? -93 What is 40 divided by -1? -40 What is 36636 divided by -43? -852 Divide 9868 by 2467. 4 -1234 divided by 5 -1234/5 Divide -4 by -294. 2/147 What is 0 divided by -288? 0 What is -9102 divided by 74? -123 Calculate 0 divided by 1342. 0 -693 divided by -33 21 What is -4044 divided by 6? -674 -36 divided by 3 -12 Divide -7987 by -49. 163 Divide -360 by -180. 2 7614 divided by -162 -47 Calculate 795 divided by -3. -265 Calculate 1318 divided by -1. -1318 Calculate 123 divided by -5. -123/5 Divide 69 by 69. 1 Divide 7874 by 2. 3937 Divide -3 by -884. 3/884 Calculate -19 divided by 28. -19/28 Calculate 11856 divided by 2964. 4 Calculate 0 divided by -63. 0 328 divided by -82 -4 6776 divided by -7 -968 Calculate -50 divided by -4. 25/2 Wha
{ "pile_set_name": "DM Mathematics" }
*s + 5*s - s**3)*(3 + 3*s - 2*s + 3*s) - 2*s + s**5 + 2*s. -23*s**5 - 18*s**4 Expand (-5*i + 2*i + 2*i)*(2*i**3 + 0*i**3 - 4*i**3) - 143*i**4 + 34726*i**2 - 34726*i**2 - 7*i**3. -141*i**4 - 7*i**3 Expand (4*x - 2 + 2)*(-3 + 0 + 2 + (-1 - 3 + 3)*(2 + 0 - 1))*((x**3 + 0*x**3 + 0*x**3)*(-2 + 2 - 2*x) - 5 + 5 + 7*x**4). -40*x**5 Expand 3*m**3 - 4*m**2 + 4*m**2 + (-2*m + 2*m - m)*(m + 2*m**2 - 1098 + 1106 + 0*m**2). m**3 - m**2 - 8*m Expand b**2 - 2*b**2 + 2*b**2 - 10*b**2 + 15*b**2 - 30*b**2 - b**2 - b + b + (-2 + 2 - 2*b)*(-2*b + 3*b - 2*b) - 8 + 5*b**2 + 8. -18*b**2 Expand (-2*o - o + 4*o)*(-3 + 4 + 0)*(141*o - 447*o - 124*o). -430*o**2 Expand (0 + 1 - 3)*(z + 2*z - z)*(4 - 7 + 2)*(4 - 3 + 0)*(-1244430*z**3 + 1 - 3*z + 1244653*z**3 + z). 892*z**4 - 8*z**2 + 4*z Expand (0*t - 2*t**4 + 0*t)*(4 + 2 - 4) + 38*t**4 - t**3 - 964*t**4 + 122*t**4. -808*t**4 - t**3 Expand -10*f**5 - 27*f**5 + 6*f**5 + (f**4 - 4*f**3 + 4*f**3)*(-f - f + 4*f) - 547 + 579*f**5 - 1160*f**5 - f**2 + 583*f**5. -27*f**5 - f**2 - 547 Expand (-28*h + 14*h + 22*h)*(-1 + 16 - 4)*(2 + h - 2)*(-1 - 19*h + 16*h + 9*h). 528*h**3 - 88*h**2 Expand (3*a**3 - a**3 - 3*a**3)*(-20237 + 956*a + 20237). -956*a**4 Expand (4*q - 5*q - q)*(-1 + 6 - 3) + 19*q - 7*q - 7*q + 5*q - 4*q + 5*q + (-1 + 2 + 1)*(2*q - 1 + 1) + (0 + 1 - 3)*(-2*q + 4*q - 3*q). 13*q Expand -5*v**3 + 5*v**3 + v**3 + (4*v + 2*v - 3*v)*(0*v**2 - v**2 - 2*v**2) - 36*v**3 + 69*v**3 - 34*v**3 - 22*v. -9*v**3 - 22*v Expand -5*t**5 - t**5 + 0*t**5 + (-4 - t**2 + 4)*(3*t**3 + 4*t**3 + 0*t**3) + (t**2 + 0*t**2 + t**2)*(2*t**3 + 3*t**3 - 6*t**3). -15*t**5 Expand (-66315*d**3 + 33242*d**3 + 33715*d**3)*(0*d**2 + 0*d**2 - 2*d**2). -1284*d**5 Expand (-554 + 554 + 114*l)*(-2*l + 2*l + 2*l) + 162 - 28*l**2 - 162. 200*l**2 Expand (-8*j - 4*j + 15*j + (0 + 1 + 0)*(-4*j + 2*j + j) + 2*j + 0 + 0 + 2*j - 8*j + 0*j)*(2*j + 3*j + 5*j). -20*j**2 Expand (-3*h**3 - 4849*h**2 + 4885*h**2 + 7*h**3)*(-2*h**2 - 4 + 4). -8*h**5 - 72*h**4 Expand -4*t**3 + 107*t**2 - 140*t**2 + t**4 + 3*t**3 + (t**2 + t**2 - t**2)*(-48*t**2 - 17*t**2 + 12*t**2). -52*t**4 - t**3 - 33*t**2 Expand (-7*y + 141*y + 42*y + (1 + 2 - 2)*(6*y + y - 2*y))*(-2*y**2 + 0*y**2 + y**2). -181*y**3 Expand (-8 - 3*s**4 + 8)*(23*s + 6*s + 9*s). -114*s**5 Expand -n - 2*n - 5*n + 2 + n - 2 + (-13*n + 21*n + 7*n)*(2 + 1 + 2). 68*n Expand (78 - 176 - 2)*(-3*x**2 + 5*x**3 + 3*x**2)*(-2*x + 2*x - x**2). 500*x**5 Expand (0*v - 4*v + 3*v)*(-1735*v + 793*v + 1628*v). -686*v**2 Expand (-34 - 69 + 34)*(6 + v - 2 + 4). -69*v - 552 Expand (-6 + 2 + 1)*(5 + 3 - 11)*(0*g + 3*g - g)*(1 + 4 + 0). 90*g Expand (-21*t + 81*t + 26*t)*(-10*t**3 - t**3 - 5*t**3)*(0*t + t + t). -2752*t**5 Expand r**5 + r**5 - 3*r**5 + (-17 + 47 + 79)*(6*r + 69*r + 23*r)*(-2*r**4 - r**4 + 4*r**4). 10681*r**5 Expand (15*o - 6*o - 6*o)*(2*o + 9*o + 0*o) - 663 - 89*o**2 + 663 - 3*o**2 + 5*o**2 - 4*o**2 + (-1 - 2*o + 1)*(7*o - 2*o - 3*o) - o**2 + 3*o**2 + 0*o**2. -60*o**2 Expand 8 + 26893*p - 7 - p**2 - 26894*p - 5*p**4 + (3*p - 3*p - 2*p)*(0*p**3 + p**3 + p**3). -9*p**4 - p**2 - p + 1 Expand -29 + 29 + 9*d + d - 2*d - d + (-16 - 11 + 19)*(d - 7*d + d). 47*d Expand (-2 + 0 + 0 + 0 - 1 - 1 + (4 - 1 - 5)*(-3 + 1 + 0) + 15 + 0 + 11)*(27*i - 10*i - 31*i). -364*i Expand (-39*z**3 - 163266 + 163266)*(32*z**2 + z - z - 33*z**2). 39*z**5 Expand (-14 - 25*l + 14)*(l + 0*l - 4*l)*(21*l - 31*l - 61*l). -5325*l**3 Expand (7*t + 10 - 10)*(-4*t**2 + 4*t**2 - 3*t**2) + (0*t**2 - 4*t**2 + t**2)*(160 - 37*t - 160). 90*t**3 Expand (6*f + 0*f - 4*f + (2 - 2 + 1)*(-2 + 2 + 2*f) - 14*f - 10*f + 41*f)*(-1 - 2 + 2)*(6*f - 2*f - 2*f) + f**2 - 3*f**2 - f**2. -45*f**2 Expand -8*s**2 - 2*s**2 - s**2 + (-3 + 3 + 2*s)*(4855 - 317*s - 4855). -645*s**2 Expand -6*h**2 + 1292*h - 1292*h + (-4*h - h + 4*h)*(-h - 1 + 1) - 2*h**2 + 3*h**2 - 4*h**2 + h**2 + 0*h**2 - 2*h**2 + h**2 - 2 + 2. -8*h**2 Expand (-55 - 5 + 10)*((0 + u + 0)*(-3 + 2 - 5) + 0*u + 3*u - u). 200*u Expand (-2 - 4 - 8)*(5 + 8 + 11)*(1 - 2 - 1)*(4*k - k - k). 1344*k Expand (-9 - 45*p + 24*p + 20*p)*(3 + 2 - 3)*(-22 - 27 + 56). -14*p - 126 Expand (377*r - 85*r - 69*r)*(3*r**4 - 3*r**4 + 3*r**4 + (-1 + 4 - 1)*(r**4 - r**4 - 2*r**4) - 2*r - r**4 + 2*r - 2*r**4 - 1 + 1 - 2*r**4 + 2*r - 2*r). -1338*r**5 Expand -4*o - o**3 + 0*o**3 + 3*o + (-2*o + 2 - 2)*(-3 + 3 - o**2) + 14*o**3 - 37*o**3 - 293 + 285 + 2*o**3 + o - o. -20*o**3 - o - 8 Expand 5*p**2 + 4*p**4 + 3*p**2 - 9*p**2 + (4*p - 4*p - 2*p**2)*(-128*p**2 + 73*p**2 - 308*p**2). 730*p**4 - p**2 Expand (10*y - 4*y + 12*y)*(-595 - 792 - 719 - 259 + 233). -38376*y Expand (12*g - 59*g - 23*g + 3)*(0 - 1 - 14)*(0*g**2 - 2*g**2 + g**2). -1050*g**3 + 45*g**2 Expand (-4 + 0 + 3)*(1300 + 1000 - 2002)*(6 + 2*n - 4*n + 0). 596*n - 1788 Expand (733*j**2 + 785953*j + 854*j**2 - 785953*j)*(2 - 2 - 3*j**3). -4761*j**5 Expand (4*l + 5*l - 3*l)*(-8 - 4 - 1 + (0 + 4 - 1)*(0 - 3 + 5)). -42*l Expand -128124*o + 52*o**4 + 128124*o + (-o**4 - 3*o**4 + 3*o**4)*(-2 + 1 - 1) + 2*o**4 + 2*o**4 - 5*o**4. 53*o**4 Expand (1732 - 1732 - 48*p)*(2 + 0 + 0)*(-224*p + 224*p + 10*p**2). -960*p**3 Expand (4*o**2 + 3*o**2 - 5*o**2)*(0*o + o + 0*o) + 2*o**2 - 2*o**2 - o**3 + 23*o**3 - 47*o**3 + 27*o**3 + 1555*o + 1280*o. 4*o**3 + 2835*o Expand (2*b + 0*b - 5*b)*(494*b - 494*b + 20*b**2) + 20*b - 20*b + 6*b**3. -54*b**3 Expand -301 + 10*m - 8*m - 1159 + (0 + 3 - 1)*(-5*m + 3*m + 3*m)*(-2 + 1 + 4). 8*m - 1460 Expand (6 + 6*a - 6)*(11535 - 8*a**2 - 23069 + 11531 + 43*a). -48*a**3 + 258*a**2 - 18*a Expand (32*d + 24*d - 25*d - 3 - d**2)*(d + 0*d + 7 - 8) + (-4 + 1 + 2)*(-4 + d**3 + 4) - d**3 + d**3 + 3*d**3. d**3 + 32*d**2 - 34*d + 3 Expand (-30*o**3 - 21326 - 21*o**4 + 21328 + 28*o**3)*(-2*o + o + 0*o). 21*o**5 + 2*o**4 - 2*o Expand (-4 + 2*h**3 + 4)*(3*h - 3*h - 2*h) - 125*h**4 + 62*h**4 - 81*h**4 + (0*h + 2*h + 0*h)*(0*h**3 + 4*h**3 - 2*h**3) + h**4 + 0*h + 0*h. -143*h**4 Expand (0 - 1 + 0)*(-101*w**4 - 204*w**4 - 185*w**4) + w**4 + 4*w**2 + 3*w**2 - 5*w**2. 491*w**4 + 2*w**2 Expand (-5*j**3 + 3*j**3 - j**3)*(7197*j + 2132*j + 8791*j - 2729*j). -46173*j**4 Expand (0 - c + 0)*(2 - 2 + 2*c**2) + (0*c**2 + 0*c**2 + c**2)*((7 - 1 - 4)*(-4 + 6 + 148) - 3 + 0 + 6)*(c + 3*c - 6*c). -608*c**3 Expand (13 - 9 + 8)*(-4 - 29*u + 10 - 7)*(-4*u + 0*u + 2*u). 696*u**2 + 24*u Expand (-176*b - 200*b + 1 + 343*b)*(-3 - 8 - 5). 528*b - 16 Expand -2*b**2 + 0*b**2 - 3*b + 0*b**2 + (-4*b**2 + 21*b**2 - 11*b**2)*(1 - 3 + 0) - 67*b + 32*b - 4 + 2*b**2 + 34*b. -12*b**2 - 4*b - 4 Expand 3144*c**2 - 3142*c**2 + 16*c**4 - 182*c**4 + (5*c - 5*c + c)*(4*c + 2*c**3 - 4*c) + c**3 - c**3 + 2*c**4 + 0*c**4 - 4*c**4 + 3*c**4. -163*c**4 + 2*c**2 Expand (-3 + 2 - 9)*(12 - 44 + 256)*(2*s**3 - 7*s**3 + 3*s**3). 4480*s**3 Expand (202*x - 6 - 465*x + 6)*(5*x - 5*x - 18*x**3). 4734*x**4 Expand (2*j + 3*j - 2 - 2*j)*((4 + j - 4)*(-1 + 1 + j) + (-3*j + 0*j + 4*j)*(-2*j + j - j) + (1 - 1 - 3*j)*(7*j + 10 - 10)). -66*j**3 + 44*j**2 Expand (2*z**3 + 3*z**3 - 6*z**3 + (-3*z + z + 0*z)*(4*z**2 + 2*z**2 - 4*z**2) + 2*z**3 - z**3 + 2*z**3 - 2*z**3 + 2*z**2 - 2*z**2)*(-275 + 1225 + 450). -5600*z**3 Expand ((4 - 5 + 3)*(6*c - 3*c - 4*c) - 2*c + 3 - 3 + (0 + 2*c + 0)*(-537 + 957 - 534))*(5 - 7 - 8*c - 2*c). 2320*c**2 + 464*c Expand (i**4 + 3*i**4 - 3*i**4)*(17 + 13 - 13) + i**4 - 9*i - 23*i**3 + 23*i**3. 18*i**4 - 9*i Expand (298 + 154 + 420)*(-3*f + 5*f - 3*f). -872*f Expand (2 - 5 + 1 - 5 + 3 + 1 + (0 - 2 + 4)*(-1 + 3 - 3) - 3 - 1 + 3)*((3*n + 2*n - 6*n)*(-3 - 2 - 1) - 4*n + 3*n + 0*n). -30*n Expand (-5*v**3 - 2*v**3 + 2*v**3)*(-1763*v + 831*v + 826*v). 530*v**4 Expand (-10 + 6 + 2)*(4542*p**4 - 277*p + 553*p - 276*p). -9084*p**4 Expand (150*f**4 - 302*f**4 + 153*f**4 + 6*f**3)*(0*f + 4*f - 3*f). f**5 + 6*f**4 Expand (-2*r + r + 3*r)*(-r**2 + r**2 + 2*r**4) - 42*r**5 + 83 - 83 + (-r**4 - 2 + 2)*(-13*r - 19*r + 4*r). -10*r**5 Expand (-46 - 42 + 259)*(y - 2*y + 2*y)*(-4 + 1 - 1)*(-2 - 4 + 3). 2052*y Expand (0 + 0 + k)*(1624 - 73 + 1555). 3106*k Expand (11120*m**3 - 11120*m**3 + 411*m**4)*(-3 - 4 + 0)*(-3 - 1 + 1). 8631*m**4 Expand -5*u**2 - 19*u**2 - 19*u**2 + (-2*u + 1 - 1)*(-4 + u + 4) + u**2 - 4*u + 4*u + 2*u**2 + 18*u - 18*u + 6*u**2 - 5*u**2 + 2*u**2. -39*u**2 Expand (24*z - 46*z + 41*z)*(z + 0*z - 2*z)*(-2 - 14 + 5). 209*z**2 Expand (-104 +
{ "pile_set_name": "DM Mathematics" }
be n(5). Let h = -1 + p. Let a(i) = -7*i + 4. Let j(l) = -13*l + 7. Let b(k) = 11*a(k) - 6*j(k). Give b(h). 5 Let g(d) = -4*d - 1. Suppose 128 = 5*f - 17. Let b = f + -26. Calculate g(b). -13 Let z(n) = -n**2 - 5*n + 5. Let a = 2 + 8. Suppose -2*u + a + 0 = 0. Let f(b) = 2*b**2 + 8*b - 8. Let x(o) = u*f(o) + 8*z(o). Calculate x(1). 2 Let g(s) be the second derivative of 2*s**3/3 - 3*s**2 - 19*s. Determine g(4). 10 Let r(g) be the second derivative of -g**5/20 - g**4/12 + 2*g**3/3 - 3*g**2/2 - 2*g. Suppose 20 = -2*u - 4. Let c be (-2)/8 - 27/u. Calculate r(c). -7 Suppose -10 = -5*c - 5. Let x(d) be the first derivative of -d**4/4 - d**2 + d + 71. Determine x(c). -2 Let f(c) = -3*c**3 - 5*c**2 + 8*c + 12. Let v(b) = b**3 + 2*b**2 - 3*b - 4. Let a(u) = 6*f(u) + 17*v(u). Calculate a(3). 4 Let a(j) = -j**3 - 5*j**2 - j + 1. Let r be a(-5). Let l(m) = -m**2 + 5*m - 3. What is l(r)? -9 Let x(p) = 7*p**3 + p**2 - p - 1. Let w(l) = -5*l**2 + 5 - 6*l + 2*l**2 + 2*l**2. Let d be w(-7). Let u be 0/d + 1 + -2. What is x(u)? -6 Let d(a) = -a**3 + a**2. Let u(k) = -4*k**3 + 6*k**2 - 2*k + 3. Let m(f) = 5*d(f) - u(f). Give m(-3). 9 Let w(d) = -d**2 - 4*d + 4. Let l(o) = -o**2 - 4*o + 4. Let t(p) = 5*l(p) - 6*w(p). Give t(-5). 1 Let k(z) = -z**3 + 3*z + 5 - 2*z + 2*z**2 - 7 - 3*z. What is k(2)? -6 Let z(o) = -o**2 + 9*o - 13. Let x be z(7). Let f(r) = -8*r**2 + r - 1. Calculate f(x). -8 Let k(x) = 2*x + 5. Let v = -31 - -27. What is k(v)? -3 Suppose 8*c - 10*c = 2*a, 2 = 3*a + c. Let m(k) = 12*k**2. Give m(a). 12 Let z(v) be the third derivative of -v**6/120 - v**5/60 + v**4/24 + v**3/6 + 3*v**2. Suppose 4*t + 4 = 2*j - 0*t, 4*j = -4*t - 16. Determine z(j). 3 Suppose 1 = 5*o - q, 3 - 1 = 5*o - 2*q. Let h(d) = o*d + 0*d + 3*d - 7 + 2. Calculate h(5). 10 Let r(m) = m + 8. Let t(c) = -3*c + 3. Suppose h = 3*p, -2*h - 6 = -3*h - 3*p. Let v be t(h). What is r(v)? 2 Let k(w) = 2*w**2 + 2*w + 3. Let c(b) = b**2 - 2*b + 3. Let o be c(2). Suppose -h - 3 = z, 5*h + o*z = z - 12. Give k(h). 7 Let a = 6 - 3. Let b(s) = 7*s - 2 - 4*s + 4 + 2 - 3*s**2 - s**a. Suppose 2*m + 5 = -1. Give b(m). -5 Let x = -8 - -10. Let r(k) = -4 + 12*k + 0 - 16*k + k**x. Calculate r(5). 1 Let x(o) = 2*o - 1. Let q = 2 - 0. Suppose -4 = 5*n + 1, 3*f - q = -4*n. Determine x(f). 3 Let i(c) = -2*c - 3. Let j be i(-4). Suppose j = -5*n - w - 2*w, -4*n - 31 = -3*w. Let x(b) = -b**3 - 3*b**2 + 3*b - 4. Determine x(n). 0 Suppose 14*a - 50 = 19*a - 3*t, 4*a = -3*t - 13. Let h(f) = -f**2 - 5*f + 1. Give h(a). -13 Let j(y) = y**3 - 5*y**2 + y + 2. Let l(d) = d**3 - 5*d**2 + d + 1. Let m(c) = 4*j(c) - 3*l(c). Determine m(4). -7 Let j(y) = -y**3 - 2*y**2 + 4*y + 4. Suppose 21*m = 42 - 105. Determine j(m). 1 Suppose 5*d - 7*d = -6. Suppose 0*a + d*t = a - 3, t = 2*a - 6. Let s(q) = a*q**2 - 3 - 8*q**3 - 6*q + 2 + 9*q**3. Give s(-4). 7 Suppose 4*f = -f. Suppose b = -f*b + 1. Let l(j) = 6*j**3 + j**2 - j + 1. Give l(b). 7 Let t = -2 + 4. Suppose 2*b - 1 = -m + 12, 4*m = t*b + 2. Let z(x) = 1 - 5 + 3*x + 0. What is z(m)? 5 Let o(t) = -30*t**3 + 3*t**2 - 11*t. Let s(a) = 10*a**3 - a**2 + 4*a. Let k(g) = -4*o(g) - 11*s(g). Give k(1). 9 Let g(t) = t**3 + 4*t**2 - 6*t - 5. Let b = 16 - 21. Calculate g(b). 0 Let r(d) = d - 6. Suppose 0 = -3*n - 2*k + 23, 0*k = 2*n + 4*k - 18. Let i be r(n). Let z(g) = -5*g**2 - 2*g + 1. Determine z(i). -6 Let t(n) = -4*n + n**2 - n + 5 - 3. Let b be (-3 + 2)*(0 + 0). Suppose 0 = -2*r - 4*m + 30, 4*m = 2*r - b*r + 10. Calculate t(r). 2 Suppose 0*r - 6 = -3*r. Let l(i) be the second derivative of -i**4/8 - i**3/6 - 3*i**2/2 - 5*i. Let p(t) be the first derivative of l(t). Determine p(r). -7 Let c(m) = 4*m**3 + 3*m**2 + 2*m + 4. Let u(o) = 5*o**3 + 4*o**2 + 3*o + 5. Let q(n) = -4*c(n) + 3*u(n). Give q(2). -7 Let p(i) be the first derivative of i**7/840 - i**6/90 - i**5/120 + i**4/8 + i**3/3 - 1. Let f(o) be the third derivative of p(o). Calculate f(3). -9 Suppose 0 = 3*v - r + 6*r - 41, v - 11 = -r. Let w(z) = -v*z - 9 + 4*z - 3*z + 4*z. Determine w(-7). 5 Let s = -45 + 41. Let y(f) = -7*f - 6. Give y(s). 22 Let u(d) = 3*d + 1. Let t(o) = -5*o**2 - 2*o**3 - 5*o + 2 + o**3 - 4. Let b be t(-4). Suppose -2*g - 3 = -4*m - 11, -b*g = m + 7. Determine u(g). -5 Let c(b) = -2*b - 5. Let s be ((-6)/(-12))/(1/4). Let f be 5 + -2 + 0/s. Suppose 0 = -6*p + f*p - 15. Calculate c(p). 5 Let b = 68 + -60. Let q(f) = f**3 - 8*f**2 - f + 7. Determine q(b). -1 Let r(y) = 5 + 4*y**2 + 0 - 4 - 7*y + 14*y**3. Let i(h) = 5*h**3 - 2*h + 5*h**3 + h**2 - 5*h**3. Let w(u) = 11*i(u) - 4*r(u). What is w(-6)? -4 Let u(h) = h**3 + h**2 - h + 1. Let z(l) = -10*l**3 - 3*l**2 + 4*l - 3. Let s(j) = 2*u(j) + z(j). Let n be 21/28 - (-2)/8. Calculate s(n). -8 Suppose -13*u = -17*u + 24. Let m(b) be the first derivative of 1/4*b**4 - 1 - 4/3*b**3 + b**2 - u*b. Determine m(4). 2 Let z(a) = -a - 4*a - 9 - 4*a + a - a**2. What is z(-6)? 3 Let a(c) = 2*c**2 + 3*c - 4. Let q = 16 - 19. Determine a(q). 5 Let y(l) = l + 3. Let n = -14 - -23. Suppose k + n = q, k + 3*q + 2*q = 9. Determine y(k). -3 Let l(m) be the first derivative of 3 + 0*m**2 + m - 5/3*m**3. Let g(i) = i**3 + i + 1. Let p be g(0). Give l(p). -4 Let f(o) be the second derivative of 0*o**2 - 1/12*o**4 + 1/3*o**3 + 0 - 2*o. What is f(4)? -8 Let y(i) = -5*i + 1. Suppose 4*x - 11 = -2*z + 1, -2*z = 2*x - 22. Let g = z + -18. Give y(g). 11 Let g(i) = -i - 11. Let h be g(-10). Let r be (9 - h)*(-2)/4. Let c = -3 - r. Let d(p) = p - 2. Determine d(c). 0 Let m(w) = -2*w - 2. Suppose -4 = i + 2. Determine m(i). 10 Suppose 3*b + 8 = 2*g - 24, 0 = b + 5*g - 12. Let l(x) = -4 + 5*x**2 + 7*x - 2*x**2 - 2*x**2. Let n be l(b). Let o(w) = w**3 - 4*w**2 - 4*w + 6. What is o(n)? -10 Let a(k) = -7*k + 68*k**2 + 6 - 67*k**2 + 4 - 1. Give a(7). 9 Let b be (-2)/8 - 3/4. Let s(l) = -3*l**2 - 1. Let y(c) = -4*c**2 + c - 1. Let f(d) = -3*s(d) + 2*y(d). Determine f(b). 0 Let o(a) = a - 6*a**2 + 6*a + 2*a**3 - a**3 - 7. Suppose d - 6*d = 3*c + 22, 3*d = -6. Let y = c + 9. Determine o(y). 3 Let s(p) = -6*p**3 - p**2 + 1. Let h be -6 - (-2 - 0/(-1)). Let f = h - -5. Determine s(f). -6 Let d(g) be the third derivative of g**7/5040 + g**6/144 + g**5/60 - g**2. Let p(y) be the third derivative of d(y). Determine p(-5). 0 Let x be (-2)/(-8)*(2 + 2). Suppose b + x = 7. Let r(a) = -a**2 + 5*a + 7. What is r(b)? 1 Let p(g) = 1 - 5*g**2 - 18*g - 4*g**3 + 19*g + 6*g**2. What is p(-1)? 5 Let g(d) = -d**3 - 4*d**2 - d - 2. Let b be g(-3). Let o = b + 7. Let a(c) = -c. Determine a(o). 1 Let h(i) = -i + 3. Suppose 2*w + x + 8 = 0, 3*w - 2 + 3 = 4*x. What is h(w)? 6 Let b(f) = f**3 - 4*f**2 + 3*f + 3. Let g(x) = 2*x + 39. Let u be g(-18). What is b(u)? 3 Suppose 2*y - 8 = 0, 2*c - 3*y + 0*y + 22 = 0. Let s(v) be the second derivative of v**3/6 - v**2 - 3*v. Give s(c). -7 Let c(o) be the third derivative of -o**5/30 + 6*o**2. Determine c(-1). -2 Let y(k) = k**3 - 16*k**2 + 17*k - 28. Let h be y(15). Let o(d) = 8*d - 3. Determine o(h). 13 Let l(k) = k + 5. Let j(v) = v. Let n(z) = -2*j(z) + l(z). Determine n(-4). 9 Let q(j) = -j. Let k(o) = 12*o - 3*o - 2*o**2 + 3*o**2 + 2. Let c(s) = k(s) + 2*q(s). Determine c(-5). -8 Let r(l) = -l + 18. Let w be r(16). Let v(f) = -f**3 - 1 + 5*f**2 + w*f**3 - 2*f**2 + 3*f + f. Determine v(-3). -13 Suppose 3*x - 3*u = 6, -3*u + 17 = 5. Let o(q) = q**3 - 7*q**2 + 7*q + 8. Calculate o(x). 14 Let v be (-448)/(-80) - 6/10. Let x(g) = -g**2 + 6*g - 4. Let k be x(4). Let l(c) = -c + 1. Let d(n) = 2*n - 1. Let b(u) = k*d(u) + v*l(u). Calculate b(1). 4 Let a(x) = 2*x**3 - x**2 - x - 1. Let f be -1*2*(-2)/(-4). Let w be a(f). Let b(c) = c - 4. Calculate b(w). -7 Let i(b) = -b**2 - 2. Suppose 0 = 3*m - 3*w - 12, 5*w + 1 + 11 = m. Let n be 2/3 - 13/(-3). Suppose n*x = m*q + 11, -2*x + 4*x = q + 4. What is i(q)? -6 Let x(j) = -2*j + 3. Let l(i) = 1 - 3 - i - 1 + 4*i**2 - 3*i**2. Let u be l(3). Calculate x(u). -3 Let b(f) = -4*f**2 - 10*f - 16. Let w(t) = -4*t**2 - 9*t - 15. Let g(y) = -6*b(y) + 7*w(y). Let c(x) be the first derivative of g(x). Give c(-2). 13 Let q be (-4)/1*(-75)/30. Let x(w) = 0 + q*w - w - 1. Give x(1). 8 Suppose -r = -4*r + 12. Let a(v) = 2*v + r - 2 - v. Suppose -11*h = 2*h + 52. Give a(h). -2 Let m = 6 - 4. Let f(s) = 2*s + 4 + s - m*s. Determine f(-3). 1 L
{ "pile_set_name": "DM Mathematics" }
4, -2, -35 Put 1/6, 5, -3/22, 2/3, 0.1 in descending order. 5, 2/3, 1/6, 0.1, -3/22 Put -42, 1, 2 in ascending order. -42, 1, 2 Put -880, -3, 5 in descending order. 5, -3, -880 Sort -2/33, 5/7, -2/15. -2/15, -2/33, 5/7 Put 20, 4, -8 in decreasing order. 20, 4, -8 Sort -3/5, 4, -2/191, -3, -4/7 in ascending order. -3, -3/5, -4/7, -2/191, 4 Put 2/9, -6, 14, 0.1 in increasing order. -6, 0.1, 2/9, 14 Put 38, 5, -4, 1, -1 in ascending order. -4, -1, 1, 5, 38 Sort 15, -2/7, 4, 0.7 in ascending order. -2/7, 0.7, 4, 15 Sort -1/5, -1272, -3 in ascending order. -1272, -3, -1/5 Sort -5, 30, 0, 4, 2 in decreasing order. 30, 4, 2, 0, -5 Sort 3, 141, -3, 1/4, -3/7 in descending order. 141, 3, 1/4, -3/7, -3 Put -2, 0, 195 in descending order. 195, 0, -2 Sort 2, 4, 0.4, -319 in descending order. 4, 2, 0.4, -319 Sort -6, 18, -2, -4 in decreasing order. 18, -2, -4, -6 Put -1/4, -0.5, 0.4, 1/2, 4 in decreasing order. 4, 1/2, 0.4, -1/4, -0.5 Sort 17, -4, 3, 4 in decreasing order. 17, 4, 3, -4 Put -1/8, 2, 124 in descending order. 124, 2, -1/8 Sort -2/11, -2/3, -0.5, -5, -1 in ascending order. -5, -1, -2/3, -0.5, -2/11 Sort 0, 5, 18, 0.3 in decreasing order. 18, 5, 0.3, 0 Sort 10, -3, 13 in decreasing order. 13, 10, -3 Sort -4, -3, -5 in increasing order. -5, -4, -3 Sort 2, -28/19, 3 in decreasing order. 3, 2, -28/19 Put -12, -4, -5, -1, 3 in increasing order. -12, -5, -4, -1, 3 Sort -1367, 1, -2 in ascending order. -1367, -2, 1 Sort -9, 0, 5, 6, 3. -9, 0, 3, 5, 6 Put 1, -0.1, 0.2, 5, 3 in descending order. 5, 3, 1, 0.2, -0.1 Sort -2, 56, 5, 2 in increasing order. -2, 2, 5, 56 Put -7, -1, -11, 2 in descending order. 2, -1, -7, -11 Put -2, -8, -15, 3 in descending order. 3, -2, -8, -15 Sort 0, -13, -2 in descending order. 0, -2, -13 Sort 65, 43, -1 in decreasing order. 65, 43, -1 Sort 1, 0, 5, 0.0541 in descending order. 5, 1, 0.0541, 0 Sort -10, 0.3, -0.2, 3. -10, -0.2, 0.3, 3 Sort 0, 4, -702 in decreasing order. 4, 0, -702 Put 0.3, -0.1, 27, 1/4 in descending order. 27, 0.3, 1/4, -0.1 Sort -7, -4, -115 in ascending order. -115, -7, -4 Sort 0.3, 4, -4. -4, 0.3, 4 Sort -17, -0.4, -0.1, -0.04 in decreasing order. -0.04, -0.1, -0.4, -17 Sort -1, 5, -2, -13 in descending order. 5, -1, -2, -13 Sort 158, -2, 1, 5. -2, 1, 5, 158 Sort 1/15, 0, -0.2, -4. -4, -0.2, 0, 1/15 Sort -4, -3/22, -2/15. -4, -3/22, -2/15 Sort 0, -270, -1 in ascending order. -270, -1, 0 Sort -72, 4, 2, -3, -1 in increasing order. -72, -3, -1, 2, 4 Sort 11, -1, -5, -2 in decreasing order. 11, -1, -2, -5 Sort 7, -8, -4, 0 in descending order. 7, 0, -4, -8 Sort -5, 6, -232, -3 in ascending order. -232, -5, -3, 6 Put -0.4, -0.5, 1/535 in decreasing order. 1/535, -0.4, -0.5 Put 2, 5, 0, 2/13 in decreasing order. 5, 2, 2/13, 0 Sort -4, 0, 1, -3. -4, -3, 0, 1 Sort 3, 9, -34, 1 in descending order. 9, 3, 1, -34 Put -21, -1, -4, 2 in increasing order. -21, -4, -1, 2 Put 3, -5, -25 in increasing order. -25, -5, 3 Sort 4, 3, 10, 2, 36 in decreasing order. 36, 10, 4, 3, 2 Sort -236, -3, -2, 4. -236, -3, -2, 4 Sort -36, -14, 2, -3, 4 in ascending order. -36, -14, -3, 2, 4 Put -1, -6/11, -0.1, 0.31 in decreasing order. 0.31, -0.1, -6/11, -1 Sort 15, 3, 0 in descending order. 15, 3, 0 Put 0.1, 5, -64, -2/3 in increasing order. -64, -2/3, 0.1, 5 Sort -16, -2, -5/3 in ascending order. -16, -2, -5/3 Sort 4, 0, -6, -32. -32, -6, 0, 4 Sort 3, 14, 5 in descending order. 14, 5, 3 Put 1, -5, -0.1, -2/7, -0.01 in ascending order. -5, -2/7, -0.1, -0.01, 1 Sort -44, -0.3, 0.2. -44, -0.3, 0.2 Sort 8, 0.2, 55. 0.2, 8, 55 Sort -1, 0, 10, -34, -4 in increasing order. -34, -4, -1, 0, 10 Sort 0, -5, -32, 6. -32, -5, 0, 6 Put -4, 10, 16 in descending order. 16, 10, -4 Put -25.5, -2/9, -6, -0.2 in decreasing order. -0.2, -2/9, -6, -25.5 Put -1, -2, -3, 0, -1/15 in descending order. 0, -1/15, -1, -2, -3 Sort -527/5, -2, 0.5, 5 in increasing order. -527/5, -2, 0.5, 5 Sort -2/7, 4, -5, -6 in increasing order. -6, -5, -2/7, 4 Put -2, -4, -1, 4 in decreasing order. 4, -1, -2, -4 Sort -4, -5, 0, -498, 5. -498, -5, -4, 0, 5 Sort 2, 1, -5, -9, -3 in ascending order. -9, -5, -3, 1, 2 Sort 1, 3, -5, 26 in descending order. 26, 3, 1, -5 Sort 5, -3, 100 in ascending order. -3, 5, 100 Put -17, -50, 2 in increasing order. -50, -17, 2 Sort 0, 5, -11, 53 in descending order. 53, 5, 0, -11 Put 41, 2, 6 in increasing order. 2, 6, 41 Put -2/3, 3, 4/9 in decreasing order. 3, 4/9, -2/3 Sort -3/4, 12712, -0.3, -2/5 in descending order. 12712, -0.3, -2/5, -3/4 Put 203, 21, 0 in descending order. 203, 21, 0 Put -215, 5, -4, -2 in increasing order. -215, -4, -2, 5 Put 0.1, 1.3, -3/4, -3 in increasing order. -3, -3/4, 0.1, 1.3 Put 2, -3, 88 in decreasing order. 88, 2, -3 Sort -1/11, -1/2, 3/2, 1/4, 0.07. -1/2, -1/11, 0.07, 1/4, 3/2 Sort 0.2, -602/11, 4, -2 in descending order. 4, 0.2, -2, -602/11 Sort 2, 9, -32. -32, 2, 9 Sort -3, 6, -7 in decreasing order. 6, -3, -7 Sort 0.1, -5/2, 2.3 in decreasing order. 2.3, 0.1, -5/2 Put -9, 107, -3 in descending order. 107, -3, -9 Put -2, -5, 5, 0, 75 in ascending order. -5, -2, 0, 5, 75 Sort -0.5, 2, -0.2, 3/5 in decreasing order. 2, 3/5, -0.2, -0.5 Sort 77, 1/5, 2, 0.5 in descending order. 77, 2, 0.5, 1/5 Sort -2, 0, -55. -55, -2, 0 Put 3, 305, 2, -4 in descending order. 305, 3, 2, -4 Sort -3, 15, -181 in ascending order. -181, -3, 15 Sort 0, 0.5, -5, 3/2, -3/4. -5, -3/4, 0, 0.5, 3/2 Put 3, -3, 10, -2 in increasing order. -3, -2, 3, 10 Sort 0.3, 3, 4, 2/9 in increasing order. 2/9, 0.3, 3, 4 Sort -43, -1, 4 in decreasing order. 4, -1, -43 Put -0.3, -1/3, -0.1, -0.024 in decreasing order. -0.024, -0.1, -0.3, -1/3 Put -79, -1, -2 in increasing order. -79, -2, -1 Sort -5, 50, 39 in decreasing order. 50, 39, -5 Sort 1/5, -0.5, 19/5. -0.5, 1/5, 19/5 Put 10, -4, -3, -1 in decreasing order. 10, -1, -3, -4 Put -2/19, 2/15, 2 in descending order. 2, 2/15, -2/19 Sort -1/6, -0.2, 0.1, 1.32, -2 in decreasing order. 1.32, 0.1, -1/6, -0.2, -2 Sort -5, -2/3, 1, 1/1128. -5, -2/3, 1/1128, 1 Sort -167, 23, 2, -0.2. -167, -0.2, 2, 23 Sort 307, 0.7, -4. -4, 0.7, 307 Put 3, 62, -5 in increasing order. -5, 3, 62 Sort 5, 68, 2, 1 in increasing order. 1, 2, 5, 68 Sort 1, 3, -4 in descending order. 3, 1, -4 Put -1, 3, -5, -12 in ascending order. -12, -5, -1, 3 Put -8/9, 0.1, -5/2, 6 in descending order. 6, 0.1, -8/9, -5/2 Put -4, 0, 14, 1, -33 in decreasing order. 14, 1, 0, -4, -33 Sort -0.4, 1/8, -3, 6. -3, -0.4, 1/8, 6 Put 7, 4, -3, -27, -4 in ascending order. -27, -4, -3, 4, 7 Sort 1/5, 0.06, -5, -0.5, 3 in descending order. 3, 1/5, 0.06, -0.5, -5 Put 658, 3, 0 in ascending order. 0, 3, 658 Put -3, 6, 0, -68, -2 in ascending order. -68, -3, -2, 0, 6 Sort 15, -18, 1, 4 in descending order. 15, 4, 1, -18 Put 0, -4, -6, 17 in decreasing order. 17, 0, -4, -6 Put 3, 21, 6, -5 in descending order. 21, 6, 3, -5 Sort -5, -4, 0.11 in descending order. 0.11, -4, -5 Sort 0.1, -1/553, 0.3 in descending order. 0.3, 0.1, -1/553 Put 47, -3, -2, 4, -6 in decreasing order. 47, 4, -2, -3, -6 Sort 2, 0, -1, -45, -3 in ascending order. -45, -3, -1, 0, 2 Sort 34, 1, -13, -4, 3 in descending order. 34, 3, 1, -4, -13 Sort 3, -14, 0 in descending order. 3, 0, -14 Sort 2, 20, 8. 2, 8, 20 Sort 2, -3, -2, 0, -26 in increasing order. -26, -3, -2, 0, 2 Put -17/11, -5, 4 in ascending order. -5, -17/11, 4 Sort 28, 1, 13 in decreasing order. 28, 13, 1 Sort 2, 5, -2, -726, -3 in descending order. 5, 2, -2, -3, -726 Put -3, -29, 3, 0, -5 in increasing order. -29, -5, -3, 0, 3 Sort -0.008, 3, -0.3 in ascending order. -0.3, -0.008, 3 Put 4, 1, 11, -5 in decreasing order. 11, 4, 1, -5 Sort -24, -2, 0 in ascending order. -24, -2, 0 Sort -2, 6, 1, -1. -2, -1, 1, 6 Sort -4, -1, 32, 0.01, 2 in decreasing order. 32, 2, 0.01, -1, -4 Sort -108, 4, 0, 3 in increasing order. -108, 0, 3, 4 Put 4, -9, -2, 2 in increasing order. -9, -2, 2, 4 Sort 4, -4, -5, -1. -5, -4, -1, 4 Sort 0.2, 5/9, 5, 0 in decreasing order. 5, 5/9, 0.2, 0 Sort 2, 43, 4, 1, -30. -30, 1, 2, 4, 43 Put -172, 1, -4, -3, 0 in increasing order. -172, -4, -3, 0, 1 Sort 0.1, -19, -0.104 in decreasing order. 0.1, -0.104, -19 Sort 2, 4, 0, 17, -11 in decreasing order. 17, 4, 2, 0, -11 Put 1.49, -0.2, 1/2, 2 in increasing order. -0.2, 1/2, 1.49, 2 Sort -3, 19, -5 in descending order. 19, -3, -5 Put -0.3, 0, 224 in decrea
{ "pile_set_name": "DM Mathematics" }
2) + 4 + (-276)/66. Calculate the greatest common divisor of j and 88. 22 Suppose -n + 17 = -4*l - 4, 0 = -5*n + 5. Let k be (126/l)/((-28)/70). What is the greatest common factor of k and 7? 7 Let k be ((-4)/((-4)/(-15)))/((-3)/6). What is the highest common factor of k and 705? 15 Let g(l) = l**3 + 12*l**2 - 10*l - 46. Let a be g(-12). What is the highest common divisor of a and 740? 74 Suppose 5*j = 2*j + 240. Suppose -4*b - w + 31 = 0, 2*w - 6 = -0. Let v(t) = 2*t + 6. Let c be v(b). Calculate the highest common factor of j and c. 20 Let z = 67 - 59. Suppose 11 = 11*b - 0. Calculate the greatest common factor of b and z. 1 Suppose -3*j = -4*n + 37, n = 4*j - 3 - 4. Let o = n + -18. Let m be (-75)/(-10)*(-2)/o. What is the highest common divisor of m and 9? 3 Let f be (-3 - -4)*(1 - 0). Let c(z) = -z**2 + z. Let g be c(2). Let u = g - -3. What is the greatest common divisor of f and u? 1 Let z(x) = -x**3 + 11*x**2 + 13*x - 14. Let r be z(10). Calculate the greatest common divisor of r and 27. 27 Let y be 9/(-15)*-10*1. Suppose -3*b = 2*j - 168, 3*b - 2 = -14. Suppose 7*l = 12*l - j. What is the greatest common factor of y and l? 6 Suppose -3*w = 0, -3*x - 2*x = -5*w - 15. Let r be 4 - (2 + (3 - 3)). Suppose p - 18 = -3*j, -3*j = -r*j - 3. Calculate the greatest common divisor of p and x. 3 Let x be (11/(-3) + (-4)/(-6))/(-1). Suppose -105 = -4*j - x*b, 6*b = 3*b - 3. Calculate the greatest common factor of j and 162. 27 Let n be 32/((3 + -1)/2). Let a be (-4)/6*(-12)/8. Let q be (48/(-9))/(a/(-3)). What is the highest common divisor of q and n? 16 Let r = 135 - -210. Calculate the highest common divisor of 69 and r. 69 Let a(z) = z**3 + 18*z**2 - 21*z - 6. Let c be a(-19). Suppose -12 = -0*y + y. Let r be (y/(-2))/((-6)/(-4)). Calculate the highest common divisor of r and c. 4 Let u be 2*((-125)/2)/(-5). Let i be 390/u + (-2)/(-5). Let r = 139 - 107. What is the highest common divisor of r and i? 16 Suppose 17*g = 157*g - 7000. What is the highest common divisor of g and 250? 50 Let g(i) = i**2 - 8*i + 16. Let s = -20 + 42. Let u be g(s). What is the greatest common divisor of 36 and u? 36 Let z = 25 + -15. Let d = -39 + 37. Let a(f) = 17*f**2 - f. Let m be a(d). What is the greatest common divisor of z and m? 10 Let u = -17 + 21. Let s be (-2*1)/(u/(-10)). Calculate the greatest common divisor of 45 and s. 5 Let a be 6/3 + 1 + -1. Let x be -1*(3 - 0) + (4 - -14). Let s = 7 + x. What is the highest common divisor of a and s? 2 Let d(k) = 28*k**2 + 4*k + 4. Let b be d(-5). Suppose -5*g - 2*r = -b, -g + 0*r + 4*r = -128. Calculate the greatest common divisor of g and 17. 17 Let u be (3 + (-3 - -3))*-23. Let a be (-4)/(-3) - u/9. Let p be a/((-81)/(-12))*162. What is the highest common divisor of p and 36? 36 Let p be 6/2*(-1)/3. Let l = -50 + 66. Let o = p + l. Calculate the highest common divisor of o and 165. 15 Let c be (40/6)/(1/3). Let v(u) = -u**2 - 5*u + 7. Let p be v(-6). Let i = p - -7. What is the highest common factor of c and i? 4 Let x = 143 + -144. Let c be -4*((-18)/(-27))/(x/21). Calculate the highest common divisor of c and 8. 8 Let p = -335 + 367. Calculate the highest common factor of p and 32. 32 Let o(c) = 0*c + 14 + 5*c - 4*c. Suppose -17 - 3 = -2*w - 5*n, -3*w = -3*n + 12. Let g be o(w). Calculate the greatest common divisor of 14 and g. 14 Suppose 3*g - 3*p - 83 = 25, g + 2*p = 27. Let y = 256 + -124. Calculate the greatest common factor of g and y. 33 Let s = -759 + 1265. What is the greatest common divisor of 110 and s? 22 Let f(w) = w**2 + 4. Let u be f(6). Suppose -v + 3*v - u = 0. Let x(h) = 2*h + 80. Let k be x(-15). What is the highest common divisor of k and v? 10 Let f = 75 - 21. Let z be 17/(34/(-144))*1/(-2). Calculate the highest common factor of z and f. 18 Let x(n) = -n**2 + 6*n - 18. Let a be x(12). Let o be (a/5)/(-1 + 2). Let h = 0 - o. Calculate the greatest common factor of h and 2. 2 Let f = 725 + -585. Let y = 11 + 9. What is the greatest common factor of y and f? 20 Let n = 21 + 33. Let r = n - 32. Let y = -156 - -266. What is the greatest common factor of r and y? 22 Let i(q) = -45*q**3 - 5*q + 4. Let l be i(3). Let w = -714 - l. Let n be 8/(-12) - w/(-12). Calculate the highest common divisor of 105 and n. 21 Let d = -21 + 26. Let y be (46 - (-7 + d)) + 0 + -3. Suppose z = -0*z + 5. Calculate the highest common divisor of y and z. 5 Let k(t) be the second derivative of -t**4/6 - 9*t**3/2 + 7*t**2/2 - 6*t - 4. Let b be k(-9). What is the greatest common factor of 11 and b? 11 Let q(l) = 386*l - 126. Let z be q(2). Calculate the highest common factor of 34 and z. 34 Let v = 32 - 284. Let i be (-2)/(v/(-64) + -4). Calculate the greatest common divisor of 288 and i. 32 Let g(w) = w**3 - 28*w**2 + 114*w + 28. Let b be g(23). What is the greatest common divisor of b and 205? 5 Let w be ((-38)/(-1) + 1)*1/3. Let q be 6*(-2)/4 + w. What is the highest common divisor of q and 30? 10 Suppose g + 4 = 52. Let f be (g/14)/((-6)/(-210)*5). What is the highest common factor of f and 72? 24 Suppose -351 = 16*n - 863. What is the highest common divisor of n and 1184? 32 Let g(d) = 0 + 8*d**3 + 4 - d - 2 - d**2 - 9*d**3. Let l be g(-3). What is the greatest common divisor of l and 69? 23 Let q(w) = 2*w**2 + 0*w**2 - 2 + 16*w**2. Let x be q(-2). Suppose 5*s + 13 - 153 = 0. Calculate the highest common factor of x and s. 14 Let o = 129 + -103. What is the greatest common divisor of o and 91? 13 Suppose 26*u - 28*u - 144 = 0. Let c = u - -94. What is the highest common factor of c and 220? 22 Let j be 6/10 + 864/(-40). Let x = j + 108. Suppose 108 = 4*s + 4*f, 4*s - s = -f + x. What is the greatest common divisor of s and 20? 10 Let i be 13/(78/516) - 2. Calculate the highest common factor of i and 105. 21 Suppose -8*x - 63 = -143. Let w(p) = -p**3 + 3*p**2 + 3*p + 3. Let y be w(4). Let b be 1 - (16 + -2)*y. What is the greatest common divisor of b and x? 5 Let y = 336 + -320. Calculate the highest common factor of 400 and y. 16 Suppose 5*q = 2*q. Let v be q/(6/15*5). Suppose 2*u + 5*m = m + 98, v = -3*u + 3*m + 183. What is the greatest common factor of u and 38? 19 Suppose -9 = -5*a + 81. Let b be 2*-1 - (1 + -7 - 23). What is the greatest common divisor of b and a? 9 Let f(o) = 4*o**3 - o**2 - o + 2. Let w be f(1). Suppose 5*s + 33 = 5*p - p, 5*p - 72 = -w*s. Calculate the highest common divisor of p and 6. 6 Suppose 449 = -4*t + 9*t + 4*w, -5*w = t - 73. Calculate the highest common divisor of 31 and t. 31 Let z = -1 - -37. Let m = 226 + -199. Calculate the greatest common factor of z and m. 9 Let u be (52/(-20))/(2/(-530)). What is the greatest common factor of u and 13? 13 Let k(g) = 3*g - 12. Let a be k(8). Let i = a - 17. Let z = i - -7. What is the highest common divisor of 14 and z? 2 Let t(k) = k**3 - 15*k**2 + 54*k - 40. Let a be t(12). Calculate the highest common divisor of a and 48. 16 Suppose 12 = 7*r - 2. Let d(w) = 3*w + 6. Let u be d(r). Let x(s) = 2*s - 2. Let g be x(7). Calculate the greatest common divisor of u and g. 12 Suppose m + 5*m = 138. Suppose 5*a - 12 - m = 0. Calculate the highest common factor of 49 and a. 7 Let k be 163/5 + (-78)/130. Calculate the highest common factor of k and 144. 16 Let s = -47 - -27. Let l = 33 + s. Let v = l + 11. Calculate the highest common divisor of 24 and v. 24 Let m(t) be the first derivative of -t**4/4 - 2*t**3 + 3*t**2 - 3*t + 7. Let o be m(-7). What is the greatest common divisor of o and 44? 4 Suppose 5*q + 2 - 442 = 0. Let a(m) = -2*m**2 + 2*m + 1. Let o be a(6). Let c = q + o. Calculate the highest common factor of c and 174. 29 Suppose 1750 = 5*x - 5*c, c = -5*x - 4*c + 1770. What is the greatest common divisor of 132 and x? 44 Suppose -5*d = 2*p - 65, 60 - 21 = 3*d - 5*p. What is the greatest common factor of d and 104? 13 Let u be (140/(-12))/((-1)/6). Suppose -2*w + 37 = -19. Calculate the greatest common factor of w and u. 14 Let n be ((-20)/60)/((-2)/36). Let a be (84/1)/(-4 - -11 - n). What is the highest common divisor of a and 12? 12 Let x be (-5)/(5/(-21)) + (0 - 4). Suppose -4*l + 4*a = 0, -l = -a - a + 2. Suppose -l*p - p + 561 = 0. What is the highest common divisor of p and x? 17 Let o(r) = r**2 + 27*r - 34. Let f be o(-29). Calc
{ "pile_set_name": "DM Mathematics" }
130635, 152047? 173325 What is the next term in 15152, 15233, 15398, 15689, 16148, 16817? 17738 What comes next: -463, -673, -701, -457, 149? 1207 What is the next term in 6799, 18031, 33657, 53677? 78091 What comes next: 43903767, 43903769, 43903771, 43903773, 43903775? 43903777 What is next in 145, 340, 677, 1246, 2137, 3440, 5245? 7642 What is next in -1835136, -1835016, -1834896? -1834776 What is the next term in 2876, 2021, 594, -1405, -3976, -7119, -10834? -15121 What is next in -1725, -2104, -2721, -3570, -4645, -5940, -7449, -9166? -11085 What is the next term in -7246, -56447, -190024, -450169, -879074, -1518931? -2411932 What is the next term in -4379934, -4379930, -4379936, -4379952, -4379978, -4380014? -4380060 What comes next: 6069, 11610, 17159, 22716? 28281 What is the next term in 33527, 30928, 28329, 25730? 23131 What is the next term in -8593, -9274, -9955, -10636, -11317? -11998 What comes next: -8644, -73176, -248348, -589480, -1151892, -1990904, -3161836? -4720008 What is next in -14650, -14459, -14046, -13333, -12242, -10695, -8614? -5921 What is next in -239503, -237783, -234917, -230905, -225747, -219443? -211993 What is next in 111, -101, -593, -1461, -2801? -4709 What comes next: -2522244, -5044213, -7566184, -10088157, -12610132, -15132109? -17654088 What is the next term in 379, 1622, 3749, 6760, 10655, 15434, 21097? 27644 What is the next term in 223045317, 446090634, 669135951, 892181268? 1115226585 What is next in -15717, -31027, -46349, -61683, -77029? -92387 What is the next term in -678284, -678310, -678336, -678362? -678388 What is the next term in 12242, 8869, -286, -18115, -47510, -91363, -152566, -234011? -338590 What comes next: 3085, 2758, 2293, 1684, 925, 10? -1067 What comes next: -63, -234, -289, -222, -27? 302 What comes next: 3994468, 7988930, 11983388, 15977842, 19972292, 23966738? 27961180 What comes next: 3657969, 7315940, 10973911, 14631882, 18289853, 21947824? 25605795 What is next in 2846, 11227, 25206, 44795, 70006? 100851 What is next in -35934, -143408, -322426, -572988? -895094 What is next in 18250, 36170, 54090? 72010 What comes next: 13454, 107677, 363266, 860849, 1681054? 2904509 What is the next term in -117144364, -234288726, -351433088? -468577450 What comes next: 36267, 143633, 322583, 573123, 895259, 1288997? 1754343 What is next in 223461, 223464, 223467? 223470 What comes next: -40641, -40798, -40955, -41112, -41269? -41426 What is the next term in -55600, -55563, -55448, -55213, -54816? -54215 What is next in -13151, -52422, -117871, -209498, -327303, -471286? -641447 What is next in 351, 368, 123, -378, -1129, -2124, -3357? -4822 What comes next: 4539, 4926, 5315, 5706, 6099? 6494 What is the next term in -1817, -4104, -6415, -8756, -11133, -13552, -16019, -18540? -21121 What is next in -2143285, -4286559, -6429833, -8573107, -10716381? -12859655 What comes next: -17797, -17364, -16931? -16498 What is the next term in 127609, 255310, 383099, 510976, 638941, 766994, 895135? 1023364 What is next in 11859, 23716, 35567, 47412, 59251, 71084? 82911 What comes next: 782755, 782764, 782771, 782770, 782755, 782720, 782659? 782566 What is the next term in -8936, -8532, -8128, -7724, -7320? -6916 What comes next: 2706, 6747, 12116, 18813, 26838, 36191, 46872? 58881 What comes next: -57961, -57959, -57957? -57955 What comes next: -64131321, -64131316, -64131299, -64131264, -64131205, -64131116? -64130991 What comes next: 84340, 84025, 83696, 83347, 82972, 82565, 82120? 81631 What comes next: -288, -989, -1990, -3291, -4892? -6793 What is next in 274005, 548336, 822667, 1096998, 1371329? 1645660 What comes next: 1125588, 1125899, 1126418, 1127145, 1128080, 1129223, 1130574? 1132133 What comes next: 6934, 13885, 20800, 27661, 34450, 41149? 47740 What comes next: -6725, -6122, -5519? -4916 What comes next: 1596, 3119, 4640, 6159, 7676, 9191? 10704 What comes next: -298047, -297999, -297905, -297753, -297531, -297227, -296829? -296325 What is the next term in 39801, 39190, 38579, 37968, 37357? 36746 What comes next: 72870, 291565, 656034, 1166259, 1822222? 2623905 What is the next term in -4280, -5071, -6356, -8135? -10408 What comes next: 336, 2776, 9390, 22260, 43468, 75096, 119226, 177940? 253320 What is the next term in -1061200, -2122407, -3183614, -4244821, -5306028? -6367235 What is next in 25361, 25780, 26195, 26606, 27013, 27416? 27815 What is the next term in 23937, 23866, 23795? 23724 What is next in 958461, 1917053, 2875645, 3834237, 4792829? 5751421 What is next in -218897, -218924, -218977, -219062, -219185? -219352 What is next in 103033, 103233, 103571, 104047, 104661? 105413 What is the next term in 6114, 25997, 59138, 105537? 165194 What is the next term in -37728, -302107, -1019720, -2417181, -4721104, -8158103, -12954792, -19337785? -27533696 What comes next: 388572, 777136, 1165688, 1554228? 1942756 What comes next: 530, -305, -1694, -3637, -6134, -9185, -12790? -16949 What is next in 20684, 20928, 21172, 21416, 21660, 21904? 22148 What is next in -423016, -845703, -1268390, -1691077, -2113764? -2536451 What is next in -5525, -8519, -13499, -20465, -29417, -40355, -53279? -68189 What comes next: -33661, -33837, -34129, -34537, -35061? -35701 What is next in 2559159, 5118325, 7677491? 10236657 What is the next term in 2297, 4221, 6339, 8747, 11541? 14817 What is the next term in 1652310, 1652535, 1652758, 1652979, 1653198? 1653415 What is next in -187719, -189536, -191353, -193170, -194987, -196804? -198621 What comes next: -57504, -114957, -172326, -229569, -286644, -343509, -400122? -456441 What is the next term in 359894, 359855, 359816, 359777, 359738, 359699? 359660 What comes next: -1233743, -1233740, -1233737, -1233734? -1233731 What is next in -243378, -486706, -730034, -973362, -1216690? -1460018 What comes next: 53505, 107007, 160511, 214017? 267525 What is next in -3477430, -3477429, -3477428, -3477427, -3477426? -3477425 What comes next: 5346, 3791, 1194, -2439, -7102, -12789, -19494, -27211? -35934 What comes next: -20187, -79947, -179541, -318963, -498207, -717267, -976137, -1274811? -1613283 What is next in -820989, -821003, -821019, -821037, -821057? -821079 What is the next term in 440457, 880885, 1321291, 1761663, 2201989, 2642257, 3082455, 3522571? 3962593 What comes next: 7509, 14515, 21023, 27039, 32569, 37619, 42195, 46303? 49949 What is the next term in -1350, -8336, -20958, -39216? -63110 What is next in 605, 2472, 5621, 10100, 15957, 23240? 31997 What is next in 17576, 70401, 158474, 281801, 440388, 634241, 863366? 1127769 What comes next: -20426, -20516, -20656, -20870, -21182? -21616 What comes next: 97, 254, 773, 1834, 3617, 6302, 10069, 15098? 21569 What is the next term in 421985, 843925, 1265867, 1687811, 2109757, 2531705, 2953655? 3375607 What comes next: 7160, 7284, 7654, 8402, 9660, 11560? 14234 What comes next: -3409, -4049, -5117, -6613? -8537 What is next in 279154, 278705, 278256? 277807 What is the next term in 37951, 85793, 133635, 181477? 229319 What is the next term in -26661, -53371, -80081? -106791 What is next in -1890, -29578, -104746, -251136, -492490, -852550, -1355058? -2023756 What comes next: 404875, 809754, 1214633, 1619512? 2024391 What is next in 115510, 115542, 115576, 115612, 115650, 115690, 115732? 115776 What comes next: -4352954, -17411730, -39176332, -69646760, -108823014, -156705094, -213293000? -278586732 What is next in -44670, -178356, -401056, -712770, -1113498, -1603240? -2181996 What is the next term in -92893, -185752, -278611? -371470 What is next in -154249, -170024, -185799, -201574, -217349? -233124 What comes next: -5970, -5331, -3598, -225, 5334, 13625, 25194? 40587 What comes next: -3554, -7141, -10810, -14609, -18586, -22789, -27266? -32065 What comes next: -13713, -109930, -371103, -879702, -1718197, -2969058? -4714755 What is the next term in 2759, 5413, 7947, 10367, 12679, 14889, 17003, 19027? 20967 What is next in 5112214, 5112337, 5112460, 5112583, 5112706? 5112829 What is the next term in 67822, 136008, 204194? 272380 What is the next term in 117283, 234512, 351741, 468970, 586199, 703428? 820657 What comes next: 3974842, 7949633, 11924424, 15899215, 19874006, 23848797? 27823588 What is
{ "pile_set_name": "DM Mathematics" }
arest integer? 51 What is the third root of 71264 to the nearest integer? 41 What is the square root of 2441 to the nearest integer? 49 What is 5639 to the power of 1/2, to the nearest integer? 75 What is 726 to the power of 1/8, to the nearest integer? 2 What is 1833 to the power of 1/2, to the nearest integer? 43 What is 39578 to the power of 1/4, to the nearest integer? 14 What is the cube root of 97718 to the nearest integer? 46 What is 1 to the power of 1/6, to the nearest integer? 1 What is 20194 to the power of 1/5, to the nearest integer? 7 What is the third root of 211 to the nearest integer? 6 What is 143317 to the power of 1/2, to the nearest integer? 379 What is the third root of 3573 to the nearest integer? 15 What is 11976 to the power of 1/3, to the nearest integer? 23 What is 5701 to the power of 1/2, to the nearest integer? 76 What is the fourth root of 2875 to the nearest integer? 7 What is 37073 to the power of 1/5, to the nearest integer? 8 What is the cube root of 2077 to the nearest integer? 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9 What is 68580 to the power of 1/7, to the nearest integer? 5 What is the third root of 641 to the nearest integer? 9 What is the square root of 25813 to the nearest integer? 161 What is the cube root of 39587 to the nearest integer? 34 What is 3674 to the power of 1/2, to the nearest integer? 61 What is 20 to the power of 1/10, to the nearest integer? 1 What is 56293 to the power of 1/3, to the nearest integer? 38 What is 3217 to the power of 1/2, to the nearest integer? 57 What is the third root of 25445 to the nearest integer? 29 What is the cube root of 714 to the nearest integer? 9 What is the square root of 44290 to the nearest integer? 210 What is the cube root of 8813 to the nearest integer? 21 What is the third root of 325 to the nearest integer? 7 What is 97004 to the power of 1/3, to the nearest integer? 46 What is the square root of 13 to the nearest integer? 4 What is the square root of 126038 to the nearest integer? 355 What is 944 to the power of 1/4, to the nearest integer? 6 What is 65553 to the power of 1/8, to the nearest integer? 4 What is the square root of 284 to the nearest integer? 17 What is 18872 to the power of 1/6, to the nearest integer? 5 What is 1816 to the power of 1/2, to the nearest integer? 43 What is the fifth root of 544 to the nearest integer? 4 What is 882 to the power of 1/3, to the nearest integer? 10 What is 465 to the power of 1/3, to the nearest integer? 8 What is 63338 to the power of 1/2, to the nearest integer? 252 What is 413 to the power of 1/3, to the nearest integer? 7 What is the fourth root of 1082 to the nearest integer? 6 What is 39559 to the power of 1/4, to the nearest integer? 14 What is 3772 to the power of 1/2, to the nearest integer? 61 What is 78541 to the power of 1/2, to the nearest integer? 280 What is the cube root of 29911 to the nearest integer? 31 What is the third root of 25224 to the nearest integer? 29 What is the third root of 6577 to the nearest integer? 19 What is 3181 to the power of 1/4, to the nearest integer? 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39 What is 9240 to the power of 1/3, to the nearest integer? 21 What is 4701 to the power
{ "pile_set_name": "DM Mathematics" }
*5 Expand (-159*o**2 + 108*o**3 + 85*o**2 + 95*o**2)*(o - 1 + 1). 108*o**4 + 21*o**3 Expand 77*h**5 - 14*h**2 - 72*h**4 - 179*h**4 + 250*h**4 + (4*h**3 - 3*h**3 + 0*h**3)*(1 - 1 - h**2). 76*h**5 - h**4 - 14*h**2 Expand (-4*x + 3 + 5*x + 1)*(3*x - x + 9 - 18)*(8*x - 11*x - 5*x). -16*x**3 + 8*x**2 + 288*x Expand (-1 + 0 + 5)*(168*f - 195*f + 50*f + 318*f + 114*f + 172*f). 2508*f Expand (-3*f - f + 6*f)*((-147 + 34 - 1225)*(2 - 3 + 2) + 5 - 3 - 3)*(1 + 0 - 4). 8034*f Expand (-1 + 1 - 2*u**5)*(-1 - 4 + 4) + (0*u**4 + 0*u**4 - 2*u**4)*(131*u - 86*u - 81*u) - 9*u**5 - 12*u + 6*u**5 + 5*u**5. 76*u**5 - 12*u Expand (-3*n - 11*n + 3*n)*(4 - 4 + 4)*(5 + 2 + 0). -308*n Expand (-3*h - h + 2*h)*(4*h**2 - 6*h**2 + 0*h**2) + 1 - 1 - h**3 + 269*h + 2069*h**3 - 808*h + 273*h + 266*h. 2072*h**3 Expand -962*c**3 + 512*c**3 + 586*c**3 + (-2 + 1 + 3)*(0*c**3 + 3*c**3 - 5*c**3) - 4*c**3 + c**3 + 2*c**3. 131*c**3 Expand (3485751*t + 120 + 13 - 3485766*t)*(-5 - 1 + 5). 15*t - 133 Expand -n + 0 + 0 + (-3 - 3 + 4)*(520*n + 917*n - 593*n). -1689*n Expand (189*r**2 - 422*r**2 + 213*r**2)*(-1 - 1 - 2)*(-2 + 1 - 1) - 19*r**2 + 4*r**2 - 15*r**2. -190*r**2 Expand (0 - 21 - 5)*(-6*u**2 - 1 + 1 + (0 + 0 + 2*u)*(6*u - 9 + 9)). -156*u**2 Expand (-5 + 1 + 2)*(g + 4 - 4) + (45 + 7 + 8)*(-4 + 2 - 12)*(3*g - 29 + 29). -2522*g Expand (1095*g + 650*g - 759*g)*(2 - 5 + 0). -2958*g Expand 2 - 2 + x**2 + (-181*x - 56*x - 74*x)*((-5 + 3 + 3)*(-7*x + 2*x + 4*x) + (3*x + 0*x + 0*x)*(4 + 2 - 5)). -621*x**2 Expand (-14*t - 46*t - 14*t)*(-51 - 12 - 90). 11322*t Expand -632 - 245*l**3 + 632 + (l - l - 2*l**2)*(l - 3*l + l) + 3*l**3 - 7*l**3 - 5*l**3 - 3*l**3. -255*l**3 Expand (339*p + 829*p + 144*p + 192*p - 67*p - 141*p)*(-5*p**2 + 37*p - 37*p). -6480*p**3 Expand (-239 - 2025 - 3384)*(-2*o**3 + o**3 + 0*o**3). 5648*o**3 Expand (-1 + 1 - 4*c)*(-2 + 2 - 1) + 2*c - 4*c + 5*c + (-3 + 1 + 5)*(3*c + 4*c - 5*c) + c + c + 4*c. 19*c Expand (-898 + 460 + 436 + 180*z**3)*(0*z**2 + 2*z**2 - 3*z**2). -180*z**5 + 2*z**2 Expand (-3 + 1 + 1)*((1 + 0 + 8)*(2 - 2 - 1)*(-4*z - 4*z + 23*z) + (3*z - 3*z - 2*z)*(-2 - 2 + 0)). 127*z Expand (-3*k + 0*k + 4*k)*(526*k - 1314*k - 846*k). -1634*k**2 Expand (-2*c**3 + 196*c**3 + 3*c**3 + (4*c**2 - c**2 - 4*c**2)*(c + 0*c + c) - c**3 + 0*c**3 - c**3)*(-1 - 5 - 1). -1351*c**3 Expand (-12 + 25 + 12)*(-38*v - 35*v - 33*v). -2650*v Expand (-17*d - 20 + 20)*(-14 + 14 - 11*d**3) + 2*d**4 + 2*d**4 - d**4 + (2*d - 4*d + 4*d)*(-2*d**3 + d**2 - d**2). 186*d**4 Expand (-27*g**3 + 20*g**4 + 27*g**3)*(-2*g + g - 7*g - 4*g + 0*g + 0*g - 2*g + 3 - 3 + (-3 + 2*g + 3)*(-3 + 3 - 1)). -320*g**5 Expand (6 - 51 - 33)*(4 + 2*z - 4) - 5*z - 6*z + 30*z. -137*z Expand (4*g - 7*g - 5*g - 4 + 2*g + 4 + 3 + 3*g - 3 + (-2 + 3 + 0)*(-2*g + 6*g - 2*g))*(0*g - 24*g**2 + 11*g**2 - 3*g). 13*g**3 + 3*g**2 Expand 4*a + 3*a - 4*a + (-5 + 3 + 3)*(-4*a - 4*a + 6*a) + 0 + 0 + a + 2*a - 2*a + 2*a + 5*a - 4*a + 0*a + (-3*a + 0*a + 5*a)*(-3 + 0 + 0). -a Expand (-2 - 2 - 1)*(-r + 0*r - r)*(112*r**4 + 11583*r - 11583*r) - 3*r**5 + 6*r**5 + 0*r**5. 1123*r**5 Expand (-4*p - p + p)*(p + 1536 - 30*p**3 - 1536)*(2*p + 4 - 4) - 8*p**5 - 5 + 10*p**5 + 0*p**5 - 2*p**3. 242*p**5 - 10*p**3 - 5 Expand (-61*w + 97 - 97)*(-1 + 2 - 3) + 5 - 28*w - 2 + 0. 94*w + 3 Expand -3*l - 1 + 1 + (-692 - 495 + l - 1115)*(2 - 1 - 2). -4*l + 2302 Expand (3 + c - 3)*(-12 - 9 - 5919*c - 28 + 49). -5919*c**2 Expand (-6*g + 46 + 11*g - 3*g)*(0*g + 3*g + 0*g) + 4*g**2 + 0*g**2 - 5*g**2. 5*g**2 + 138*g Expand (-7*n + 0*n - 4*n)*(-75*n + 207*n + 72*n). -2244*n**2 Expand (-i**3 - 2*i**3 + 2*i**3 + (-2*i + 3*i + 3*i)*(-541*i**2 + 157702 - 157702))*(3*i**2 - 5*i**2 + 0*i**2). 4330*i**5 Expand (-108*y**3 - 519*y**3 - 237*y**3)*(-2 - 4 + 5 + (-1 + 1 + 1)*(3 - 1 + 0)). -864*y**3 Expand (-2*h - 3*h + 6*h)*(-h + 2*h + 2*h**2 + h)*(3*h - 2*h + h - 98*h - 113*h + 65*h + (h + 0*h + h)*(3 + 0 - 1)). -280*h**4 - 280*h**3 Expand 9 - 9 - 3*r + (-r + r - r)*(4 - 2 + 0) - 1504*r - 168*r + 603*r. -1074*r Expand (14 + 1946*z**2 + 1901*z**2 - 3793*z**2)*(3 - 3 - 2*z). -108*z**3 - 28*z Expand (46*y - 46*y + 20*y**3)*(6*y - 2*y - 2*y)*(-27 - 81 + 51) - y**4 - 3*y**4 + 3*y**4. -2281*y**4 Expand (0*m - 2*m + m)*(-9*m - 18*m - 14*m)*(-m - 5*m + 3*m)*(3*m - 5 + 5) - m**4 + 3*m**4 - 3*m**4. -370*m**4 Expand 3*t**5 - t**5 - 3*t**5 + (-t**2 + 0*t**2 + 2*t**2)*(-1 + 1 - t**3) - 5*t**5 + 0*t**5 + 2*t**5 + (-t + t - 4*t)*(4*t**4 + t**4 - 2*t**4). -17*t**5 Expand (-2 + l + 2)*(2387*l + 3285*l + 3521*l + 46*l). 9239*l**2 Expand (-3 + 5 - 1)*(-3*q + 2*q + 14*q) - 3*q - 5*q + 5*q - 3*q + q + q + (-1 - 2*q + 1)*(-2 + 5 - 4). 11*q Expand (44 - 3*o + 178 - 368)*(-o + o - o**4). 3*o**5 + 146*o**4 Expand (-4 - 3 + 6)*(0 + 0 - 2*h)*(-12880 - 8830 + 3283 - 917 - 13623). -65934*h Expand 18*o**4 - 1245*o**2 + 1245*o**2 + (2*o**3 + 2 - 2)*(4*o - 4*o - o) + 332*o**2 - 332*o**2 + 34*o**4. 50*o**4 Expand (-f**2 + 676*f + 4*f**2 - 686*f)*(11 + 2 - 2). 33*f**2 - 110*f Expand (2*d**3 + 2*d**5 - 2*d**3)*(5 - 3 + 2) + 2*d**5 + d**4 - d**4 + (-d + d + 2*d**3)*(3*d**2 - 4*d**2 - d**2) - 563*d + 563*d + 35*d**5. 41*d**5 Expand (8 - 4 - 5)*(4 - 3 + 0)*(368*l**4 - l**3 + 0*l**3 - 715*l**4 - 3*l**2). 347*l**4 + l**3 + 3*l**2 Expand (-7*z**3 + 0*z**2 + 0*z**2)*(1643 + 1618 - 3223). -266*z**3 Expand (-1 - 2*s + 1)*(272 - 111 + 1632*s - 163). -3264*s**2 + 4*s Expand 1 - 1 - 2*p + (-2 + 1 + 3)*(2*p + 3*p - 3*p) + (p - 2*p - 4*p)*(2 + 1058 + 341). -7003*p Expand (-2*o - 5*o + 0*o)*(5 + 1 - 4) + 98 - 228 - 2*o - 334. -16*o - 464 Expand -170*a + a**5 + 0*a**5 + 200*a - 3*a**3 + 3*a**3 + 2*a**5 + (2*a**2 + 5*a**2 + 2*a**2)*(-3*a**3 + 3*a**3 - 2*a**3). -15*a**5 + 30*a Expand (-4*y + 4*y - 9*y)*((-1 + 1 + y)*(-1 + 2 + 1) - 2*y + 2*y - 2 + 3*y) - 8*y**2 - 24*y**2 - 44*y**2. -121*y**2 + 18*y Expand -2*y**4 + 3*y**4 - 4*y**4 + (16*y - 40*y - 31*y)*(3*y**3 + 0*y**3 - y**3 + 7*y**2). -113*y**4 - 385*y**3 Expand (-62 + 62 + 46*g)*(-4*g + 40 - 14 + 2*g). -92*g**2 + 1196*g Expand (6 + 3 - 3)*(1 - 6 + 1)*(-3*z + 0*z + 5*z) - 226*z + 12*z - 94*z + 13*z. -343*z Expand -2 - 4*z**4 + 2 + (-6*z**2 + 24*z**2 - 9*z**2)*(-5*z**2 + z - z) - 2*z**2 + 2*z**2 + 2*z**4. -47*z**4 Expand -5*i**4 + 15*i**5 - 2*i**5 + 5*i**4 + (3*i**3 + 2*i**3 - 3*i**3)*(i**2 + i**2 + 0*i**2) - 32*i**5 - 30*i**5 + 54*i**5. 9*i**5 Expand (1 - 3 + 3)*(3*c**2 - 3*c**2 + 2*c**2) + 2 + 2*c**2 - 2 - 3412 - 1714 + 32480*c**2 - 32479*c**2. 5*c**2 - 5126 Expand (-d - 3 + 3 + (2 + 4 - 4)*(4*d - 2*d + 0*d) - 3*d + 4*d + 2*d + 1 - 1 - 4*d)*(-8370*d + 8370*d + 39*d**3 - 24). 78*d**4 - 48*d Expand -5*x + 5*x + 8*x**4 + 10 - 2*x**4 - 19 + 7*x**4 + (4*x - 4*x - x)*(3*x**3 - 7*x**3 + 2*x**3). 15*x**4 - 9 Expand (3*x - 2*x + x)*(0 + 2 - 4) + 2*x + x - x + (22 - 15 + 7)*(-14 + 15*x + 14)*(-7 - 3 - 5) - 1 - x + 1. -3153*x Expand (14 - 14 + g)*(3 - 5 + 3) + 25*g - 72 + 73 - 6*g. 20*g + 1 Expand (2 + 1 - 2)*(-22*r**2 - 6 - 2749*r**4 + 21*r**2 - 1127*r**4 + r**2). -3876*r**4 - 6 Expand (-189*p + 165*p + 188*p)*(-3*p - 4*p + 5*p)*(-1 + 8 - 1)*(-3*p + 3*p - p**3). 1968*p**5 Expand (4 - 3 + 5)*(4199*a**3 - 2095*a**3 + 24*a - 2085*a**3). 114*a**3 + 144*a Expand 1901*v - 121*v + 893*v + 653*v + (-1 + v + 1)*(0 + 1 - 3) + 0*v + 3*v - 2*v. 3325*v Expand (9*s**2 + 5*s**2 - 29*s - 12*s**2)*(-29*s**2 + s**3 + 29*s**2). 2*s**5 - 29*s**4 Expand (-2 - 5 + 3)*(3*k**4 - k**4 - 3*k**4) + (3*k - 3*k + 3*k)*(-21*k**3 - 16*k**3 + 35*k**3). -2*k**4 Expand (-3*r + 3*r + 2*r)*(-188*r + 1139*r + 1361*r)*(3 - 5 + 4). 9248*r**2 Expand (-2 + 2 + 1)*(-2*r**3 + r**2 - r**2) - 11875*r**3 - r - 11872*r**3 + 123 + 23750*r**3 - 2*r**2. r**3 - 2*r**2 - r + 123 Expand (-j + 2 - 2)*(2*j - 3*j**2 - 2*j) + 26*j - 2*j**3 - 114*j - j**2 + 58*j. j**3 - j**2 - 30*j Expand -13*z**5 + z**3 - z**3 + (11 - 22 + 110)*(-3*z**5 + 0*z**5 + z**5). -211*z**5 Expand (-672*y**2 + 728*y**2 - 1 + 5)*(2 + 3*y**3 - 2). 168*y**5 + 12*y**3 Expand -15 + 48*q + 2*q**2 - 48*q - 2*q**4 + (-2*q**3 - 6 + 6)*(0 + 2*q + 0) + 50*q**4 + 5*q**4 - 20*q**4 + 4*q**4 + 2*q**4 - 5*q**4. 30*q**4 + 2*q**2 - 15 Expand (-8666 + 2*m**2 + 4432 - 1028*m + 4244)*(-5*m**2 + 6*m**2 - 3*m**2). -4*m**4 + 2056*m**3 - 20*m**2 Expand (7*c - 18*c - 23*c)*(-2*c + 4*c + 0*c) + 24*c**2 + 38*c**2 - 20*c**2. -26*c**2 Expand j + 3*j - 3*j + (1 - j - 1)*(-1 + 1 + 2) + j + 3*j
{ "pile_set_name": "DM Mathematics" }
-60*d**2 + 4*d + 184 What is the d'th term of 411, 3343, 11317, 26853, 52471, 90691, 144033, 215017? 420*d**3 + d**2 - 11*d + 1 What is the y'th term of 142, 249, 314, 337, 318? -21*y**2 + 170*y - 7 What is the t'th term of 224, 1079, 2872, 5903, 10472, 16879, 25424, 36407? 50*t**3 + 169*t**2 - 2*t + 7 What is the h'th term of 120172, 240347, 360522, 480697? 120175*h - 3 What is the k'th term of 927093, 927094, 927095, 927096? k + 927092 What is the m'th term of 22904, 22904, 22906, 22910, 22916, 22924, 22934? m**2 - 3*m + 22906 What is the l'th term of 1360, 2748, 4116, 5464, 6792, 8100? -10*l**2 + 1418*l - 48 What is the s'th term of -1083797, -2167592, -3251387, -4335182, -5418977? -1083795*s - 2 What is the o'th term of 8965, 17945, 26925, 35905, 44885, 53865? 8980*o - 15 What is the s'th term of 1080, 2168, 3266, 4380, 5516, 6680, 7878? s**3 - s**2 + 1084*s - 4 What is the z'th term of -358, -705, -1046, -1381, -1710? 3*z**2 - 356*z - 5 What is the y'th term of 28582, 57132, 85682, 114232, 142782, 171332? 28550*y + 32 What is the i'th term of -1813, -3632, -5451, -7270, -9089? -1819*i + 6 What is the g'th term of 4100, 4120, 4144, 4166, 4180, 4180? -g**3 + 8*g**2 + 3*g + 4090 What is the a'th term of 581, 1489, 2397, 3305, 4213, 5121? 908*a - 327 What is the j'th term of -25888, -103506, -232862, -413950, -646764, -931298, -1267546? j**3 - 25875*j**2 - 14 What is the u'th term of 658, 647, 628, 595, 542, 463, 352, 203? -u**3 + 2*u**2 - 10*u + 667 What is the s'th term of -4380, -4377, -4364, -4335, -4284? s**3 - s**2 - s - 4379 What is the w'th term of 511, 20, -473, -968, -1465? -w**2 - 488*w + 1000 What is the o'th term of -74997, -74999, -75001, -75003? -2*o - 74995 What is the u'th term of 3508, 7012, 10518, 14026, 17536? u**2 + 3501*u + 6 What is the n'th term of 890541, 1781083, 2671627, 3562173, 4452721? n**2 + 890539*n + 1 What is the a'th term of -22136, -44203, -66268, -88331, -110392, -132451, -154508? a**2 - 22070*a - 67 What is the m'th term of 648, 741, 834, 927? 93*m + 555 What is the b'th term of -2, 58, 158, 286, 430, 578? -2*b**3 + 32*b**2 - 22*b - 10 What is the t'th term of 2028006, 2028008, 2028010, 2028012? 2*t + 2028004 What is the g'th term of -166, -647, -1448, -2569, -4010, -5771, -7852? -160*g**2 - g - 5 What is the s'th term of 43, 67, 75, 67, 43? -8*s**2 + 48*s + 3 What is the i'th term of -189993, -189995, -189997, -189999? -2*i - 189991 What is the g'th term of 1722, 1860, 1998, 2136? 138*g + 1584 What is the b'th term of 499830, 499833, 499844, 499869, 499914, 499985, 500088? b**3 - 2*b**2 + 2*b + 499829 What is the v'th term of 203, 244, 299, 356, 403, 428, 419? -2*v**3 + 19*v**2 - 2*v + 188 What is the q'th term of -71, 46, 347, 916, 1837, 3194, 5071, 7552? 14*q**3 + 8*q**2 - 5*q - 88 What is the d'th term of 2789, 2805, 2831, 2867, 2913? 5*d**2 + d + 2783 What is the t'th term of -1882, -1908, -1956, -2032, -2142, -2292? -t**3 - 5*t**2 - 4*t - 1872 What is the y'th term of -3644, -3978, -4536, -5318, -6324? -112*y**2 + 2*y - 3534 What is the d'th term of 4011, 4004, 3997, 3990? -7*d + 4018 What is the o'th term of 34957, 34915, 34873? -42*o + 34999 What is the s'th term of 15469, 15476, 15481, 15484, 15485, 15484, 15481? -s**2 + 10*s + 15460 What is the i'th term of -3511, -6537, -9565, -12595? -i**2 - 3023*i - 487 What is the s'th term of 883, 975, 1081, 1207, 1359? s**3 + s**2 + 82*s + 799 What is the k'th term of -254306, -508612, -762920, -1017230, -1271542? -k**2 - 254303*k - 2 What is the a'th term of 35350, 35332, 35302, 35260, 35206, 35140? -6*a**2 + 35356 What is the i'th term of -8197, -16394, -24591, -32788, -40985, -49182? -8197*i What is the v'th term of -6528, -13099, -19670, -26241? -6571*v + 43 What is the b'th term of 657, 679, 699, 717, 733, 747, 759? -b**2 + 25*b + 633 What is the s'th term of -2427, -4878, -7319, -9744, -12147, -14522, -16863, -19164? s**3 - s**2 - 2455*s + 28 What is the r'th term of -1327, -1370, -1407, -1432, -1439, -1422, -1375? r**3 - 3*r**2 - 41*r - 1284 What is the q'th term of 14, 127, 230, 317, 382, 419, 422, 385? -q**3 + q**2 + 117*q - 103 What is the l'th term of -49938, -49944, -49950? -6*l - 49932 What is the q'th term of 1532, 3074, 4618, 6164, 7712? q**2 + 1539*q - 8 What is the i'th term of 5911, 5930, 5983, 6088, 6263? 3*i**3 - i**2 + i + 5908 What is the i'th term of -234503, -469005, -703507, -938009? -234502*i - 1 What is the f'th term of 25342, 25656, 26180, 26914? 105*f**2 - f + 25238 What is the i'th term of 2853, 2915, 3077, 3387, 3893, 4643, 5685? 8*i**3 + 2*i**2 + 2843 What is the a'th term of -311130, -311145, -311162, -311181, -311202? -a**2 - 12*a - 311117 What is the u'th term of -194, -825, -1876, -3347, -5238? -210*u**2 - u + 17 What is the n'th term of 9402, 9703, 9992, 10263, 10510, 10727, 10908, 11047? -n**3 + 308*n + 9095 What is the w'th term of 9837, 9799, 9723, 9603, 9433, 9207? -w**3 - 13*w**2 + 8*w + 9843 What is the t'th term of 1902, 3746, 5588, 7428, 9266, 11102? -t**2 + 1847*t + 56 What is the m'th term of -409, -344, -279? 65*m - 474 What is the r'th term of -27035, -54059, -81083? -27024*r - 11 What is the p'th term of -1241, -1727, -2213? -486*p - 755 What is the f'th term of -26, -98, -296, -686, -1334? -11*f**3 + 3*f**2 - 4*f - 14 What is the h'th term of 336, 667, 996, 1323, 1648, 1971? -h**2 + 334*h + 3 What is the v'th term of -41, -271, -695, -1313, -2125? -97*v**2 + 61*v - 5 What is the n'th term of 44341, 88684, 133027, 177370? 44343*n - 2 What is the c'th term of -1878, -8044, -18504, -33264, -52330, -75708, -103404? -c**3 - 2141*c**2 + 264*c What is the n'th term of -39553, -39672, -39791? -119*n - 39434 What is the d'th term of 1537, 3069, 4631, 6223? 15*d**2 + 1487*d + 35 What is the m'th term of -96122, -192244, -288366, -384488? -96122*m What is the n'th term of -128155, -256321, -384489, -512659, -640831? -n**2 - 128163*n + 9 What is the p'th term of 4250249, 8500496, 12750743, 17000990? 4250247*p + 2 What is the p'th term of 93914, 93868, 93836, 93824, 93838? p**3 + p**2 - 56*p + 93968 What is the w'th term of -900, -1743, -2512, -3183, -3732, -4135, -4368? 4*w**3 + 13*w**2 - 910*w - 7 What is the h'th term of -211, -836, -1881, -3346? -210*h**2 + 5*h - 6 What is the u'th term of -196620, -196623, -196628, -196635, -196644? -u**2 - 196619 What is the n'th term of 366, 1460, 3284, 5838, 9122, 13136? 365*n**2 - n + 2 What is the l'th term of -17623, -35246, -52869, -70492? -17623*l What is the t'th term of -898, -1856, -2816, -3778, -4742? -t**2 - 955*t + 58 What is the c'th term of -1044078, -2088155, -3132232, -4176309, -5220386? -1044077*c - 1 What is the m'th term of 6529, 6558, 6585, 6610, 6633, 6654? -m**2 + 32*m + 6498 What is the k'th term of 762, 1558, 2354? 796*k - 34 What is the l'th term of -13, -63, -179, -391, -729, -1223, -1903? -5*l**3 - 3*l**2 - 6*l + 1 What is the k'th term of 189980, 379966, 569952, 759938, 949924, 1139910? 189986*k - 6 What is the l'th term of 336488, 336548, 336706, 337010, 337508? 8*l**3 + l**2 + l + 336478 What is the j'th term of -915, -960, -1003, -1044, -1083, -1120, -1155? j**2 - 48*j - 868 What is the n'th term of 427, 832, 1307, 1852, 2467, 3152, 3907? 35*n**2 + 300*n + 92 What is the k'th term of 1468, 5895, 13316, 23767, 37284? 6*k**3 + 1461*k**2 + 2*k - 1 What is the d'th term of 4750, 4757, 4772, 4795? 4*d**2 - 5*d + 4751 What is the z'th term of 9839, 19680, 29521? 9841*z - 2 What is the v'th term of 503, 525, 547, 569? 22*v + 481 What is the v'th term of -5610, -11214, -16814, -22410, -28002, -33590? 2*v**2 - 5610*v - 2 What is the a'th term of 805, 1253, 1701? 448*a + 357 What is the t'th term of -275, -878, -1803, -3050, -4619? -161*t**2 - 120*t + 6 What is the d'th term of -1693059, -1693058, -1693057? d - 1693060 What is the y'th term of 2326, 2334, 2328, 2302, 2250, 2166, 2044, 1878? -y**3 - y**2 + 18*y + 2310 What is the h'th term of 40, -554, -2158, -5276, -10412, -18070? -84*h**3 - h**2 - 3*h + 128 What is the a'th term of -315, -1835, -4371, -7917, -12467? a**3 - 514*a**2 + 15*a + 183 What is the u'th term of -995, -958, -915, -860, -787? u**3 - 3*u**2 + 39*u - 1032 What is the g'th term of 16068, 32129, 48186, 64239, 80288, 96333, 112374? -
{ "pile_set_name": "DM Mathematics" }
2))/sqrt(8)) + -5 + (sqrt(208)*2*-6)**2. -4*sqrt(13) + 29947 Simplify (1*sqrt(3500) + (sqrt(5040) - 3*sqrt(5040)))/((sqrt(5500)*-3 - sqrt(5500))/sqrt(11)*6) + -1. -1 + 7*sqrt(7)/120 Simplify ((((sqrt(300)*1)/sqrt(5))/(sqrt(864)/sqrt(9)))/((-2*sqrt(55)*4)/(sqrt(11)*-2*-6)))**2. 9/32 Simplify (-4*(sqrt(78)/sqrt(6)*-2)**2 + -3 - (sqrt(13) + (-3 + sqrt(13) + sqrt(117)/sqrt(9))**2 + 5 + sqrt(13)*5))*3. -831 + 18*sqrt(13) Simplify (-6*3*sqrt(204)*3*3)/(1*(sqrt(1200) + -2*(sqrt(1200)*4 - sqrt(1200) - sqrt(1200)))). 27*sqrt(17)/5 Simplify 1 + (1*((sqrt(99) - 1*sqrt(99)) + sqrt(11)*2 + -5) - (sqrt(1584) + -2 + sqrt(44) + -2 + 5)). -12*sqrt(11) - 5 Simplify (sqrt(78)/sqrt(48))/(sqrt(2) - sqrt(2)*2*6) - ((sqrt(143) - -3*1*sqrt(143) - sqrt(143)) + sqrt(143))/(sqrt(44)*4). -23*sqrt(13)/44 Simplify 6*(sqrt(162) + -1 - (sqrt(18) + -1 + -5) - 6*(sqrt(242) + 2)*5)**2. 213840*sqrt(2) + 1277862 Simplify (((-2*(sqrt(110)*3 + sqrt(110) + sqrt(110)))/(sqrt(132)/(sqrt(72)/sqrt(6))))/(2*1*sqrt(288) + sqrt(288)*-2*-1 + sqrt(288) + sqrt(288)))**2. 125/1296 Simplify (-3*(-2 + (sqrt(605) - (sqrt(605) + -1)) + 2*(sqrt(405)*3 + sqrt(5)))*1*-6)**2. -36288*sqrt(5) + 5080644 Simplify (1*-1*-6*(sqrt(153))**2 - (5*(sqrt(17) + sqrt(153) + sqrt(17)) + (sqrt(272) + -1 + sqrt(272))**2)) + 1. -170 - 9*sqrt(17) Simplify (3*((sqrt(1872) - (4 + sqrt(1872)*2)) + sqrt(1872)) + -3*(-5 + -1*sqrt(1872)))**2*-6. -101142 - 1296*sqrt(13) Simplify (4 + ((2 + sqrt(26)/(1*sqrt(2)) + sqrt(39)/(-1*sqrt(12) + sqrt(12) + sqrt(12)) + -2)*2)**2)*-1. -121 Simplify (((sqrt(19) - -6*(-2 + sqrt(19)))**2 - 5*(sqrt(19) + 2)) + -1 + sqrt(304) + 1 + 0)*6. -1014*sqrt(19) + 6390 Simplify 2 + 5*(1 + ((2*(1 + sqrt(192))*-6)**2 - (sqrt(192) - (sqrt(192) + -2 + -1 - sqrt(192)))**2*5)). 10320*sqrt(3) + 133942 Simplify (4*-1*2*sqrt(1100)*-3)/(3*((sqrt(16)/sqrt(4) - sqrt(4))*4 - sqrt(4)) - sqrt(36)/(sqrt(9) - (1*sqrt(81) + sqrt(81)))). -300*sqrt(11)/7 Simplify ((2 + sqrt(208) + 3 + 2 - (-4 + 4*(sqrt(208) + 4))) + 5)**2. 1872 Simplify 1 + (-1 + 1*4*4*sqrt(343))**2 + 2. -224*sqrt(7) + 87812 Simplify -4*(sqrt(121)/(sqrt(11) + sqrt(11)*3) + 2 + (1 + sqrt(11))*3 + 6*sqrt(22)/sqrt(2)). -37*sqrt(11) - 20 Simplify (sqrt(105)/sqrt(3)*2 - ((sqrt(420)*-1 - sqrt(420)) + sqrt(420) - sqrt(420))/sqrt(12))/(3*sqrt(28) - sqrt(175)*-1). 4*sqrt(5)/11 Simplify ((3 + ((sqrt(882) + 1 + sqrt(882) + sqrt(882) + sqrt(18) - sqrt(18)) + 4 + 1)*4)*4)**2. 217728*sqrt(2) + 2043792 Simplify (3 + sqrt(76)*-2 + -2 - (-2 + (1*sqrt(76))**2 + 0)) + -2 + -1*(-1 + sqrt(76))*5 + -1. -71 - 14*sqrt(19) Simplify ((-1 + ((sqrt(1584) - (-5 + -1 + sqrt(1584))) + -1 - (-2 + sqrt(1584) + 0 + sqrt(1584)*-1 + 4)))*-3)**2. 36 Simplify 0 + (-1*-2*sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119)*1 - sqrt(119)))*-5)/(((2*sqrt(315))/sqrt(5))/sqrt(9)). -sqrt(17) Simplify (-2*((sqrt(704) + -1 + sqrt(704)*-1 - (sqrt(704) + (sqrt(704) - (sqrt(704) + 2 + sqrt(704)))*-2)) + 2*(5 + sqrt(704))*4)*-1)**2. 11200*sqrt(11) + 75300 Simplify -1 + -1 + sqrt(128) + sqrt(128) + ((2*sqrt(128))**2 + sqrt(128))*-6 + -2 + (sqrt(128)*-1*-6 + -2)**2. -224*sqrt(2) + 1536 Simplify 5 + -4 + (5*sqrt(3888)*2 + sqrt(3888)*-1 + sqrt(3888) + 0 + sqrt(3888) + sqrt(3888))**2 + 3. 559876 Simplify ((sqrt(171) + sqrt(171) + (sqrt(171) - 1*sqrt(171))*-1 + sqrt(171))*4*-2)/(sqrt(45)/sqrt(5)*-1 - 5*sqrt(27)/sqrt(3)). 4*sqrt(19) Simplify ((sqrt(114)/((sqrt(16) + sqrt(64)/sqrt(4))/sqrt(8))*3)/((-1*sqrt(15)*1)/(sqrt(45)*-2)))**2. 1539 Simplify ((sqrt(528) - (sqrt(528) + 5*sqrt(528)*-6))*5)/((4*(-3*sqrt(66) - sqrt(66)) + sqrt(66))/(sqrt(24)/sqrt(16))). -20*sqrt(3) Simplify (-2*-5*(1 + sqrt(704))*-5 + 5 + -4*(1 + sqrt(704)*-1))**2. 36064*sqrt(11) + 1492065 Simplify 5 + 5*(0 + sqrt(11)) + 1 + sqrt(176) - ((-1*sqrt(121) - sqrt(121))*-6)/(-2*sqrt(99)). 6 + 11*sqrt(11) Simplify (2 + (2*sqrt(153) - sqrt(153)) + sqrt(153) + 4 + -2)**2 + ((sqrt(153)*-1 - sqrt(153)) + -2 - (sqrt(153)*-1 + 2)**2) + 0. 54*sqrt(17) + 469 Simplify -6*(-5 + sqrt(192) + (sqrt(192)*-2 - sqrt(192))**2 + -3 + (sqrt(15)/(-2*sqrt(5)*5)*-2)**2). -258018/25 - 48*sqrt(3) Simplify ((sqrt(189)*-2*4)/(sqrt(7) + (-1*sqrt(7) - sqrt(7))*-3))/(-5*2*sqrt(729)*2)*-5. -2*sqrt(3)/63 Simplify ((-2 + -6*(sqrt(605) + (sqrt(605) + 2 - sqrt(605))) + 0 - (sqrt(605)*-2 + -1 + -2)*2)*-1)**2. 352*sqrt(5) + 2484 Simplify -2 + (3 + 4*1*sqrt(343) + 2 + sqrt(343) + 0 + sqrt(343) + -5 + 1*-2*sqrt(343)*4)**2. 1370 Simplify (-3*(sqrt(110)*1 + sqrt(110)) - -4*sqrt(110)*-1)/((sqrt(140)/(sqrt(70)/sqrt(10)))/sqrt(2)). -10*sqrt(11) Simplify 2 + -3*((((sqrt(128) + 0)*-5 + sqrt(128))**2 - (sqrt(128)*1*-5 + sqrt(128))**2) + (-3*(sqrt(128) + -2 + (-1*sqrt(128) - sqrt(128)) + -4))**2). -4426 - 2592*sqrt(2) Simplify (-5*(sqrt(315) - sqrt(315)*1*-4)/((4*(sqrt(5) - (sqrt(5) - sqrt(20))) - sqrt(5) - sqrt(5)) + sqrt(5)) + 5)*6. -450*sqrt(7)/7 + 30 Simplify ((-2*sqrt(108))/sqrt(6) - (sqrt(18) + 4*sqrt(72)/sqrt(4) + sqrt(18)))/(sqrt(42)/(sqrt(63)*-6)*3)*-2. -96*sqrt(3) Simplify (sqrt(1152) + sqrt(1152)*3*-6)/(sqrt(864) - (-2*-6*sqrt(864) - sqrt(864))). 17*sqrt(3)/15 Simplify (2*(sqrt(72)*-2*-3 - sqrt(72))/(sqrt(36)*3)*-1)**2*-3. -200/3 Simplify 1 + ((-5*-2*(-1*sqrt(17) + -4))**2 - ((-2*(1*sqrt(204) + sqrt(204)))/(-1*sqrt(1452)))**2). 800*sqrt(17) + 399149/121 Simplify 6*(((sqrt(75) - -5*sqrt(75)*-2) + -4)**2 + (5*-1*sqrt(75) + sqrt(75) - (-1*(1 + sqrt(75) + sqrt(75)))**2)). 1920*sqrt(3) + 34740 Simplify sqrt(51)/(-1*sqrt(3)*-1) + -1 + -4 + (sqrt(51) - sqrt(1275)*1)/(2*sqrt(27)). -5 + sqrt(17)/3 Simplify (sqrt(2299) - (-1 + sqrt(2299)*1) - (-3 + 2*sqrt(2299)) - (sqrt(2299) + (sqrt(2299) + -1)*-1 - (-4 + 2 + sqrt(2299))))**2*1. -22*sqrt(19) + 2300 Simplify 3 + ((-2*sqrt(363)*1 - sqrt(363)) + -3)**2 + 3*(-2 + (2*sqrt(15) + sqrt(15))/sqrt(5) + sqrt(3)) + 0. 210*sqrt(3) + 3273 Simplify (2 + (1*-4*(sqrt(171) + sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171)))/(-5*(sqrt(900) - -2*sqrt(900) - sqrt(900))))*5*-5. -50 - 6*sqrt(19) Simplify 3 + (-6*(-5 + (sqrt(396)*-2)/(-5*sqrt(64)))*1)**2*6. -648*sqrt(11) + 140421/25 Simplify ((sqrt(4800) + sqrt(4800)*2)*3 + -5 + 3 + -1 + sqrt(4800)*3)**2. -2880*sqrt(3) + 691209 Simplify ((2*sqrt(4356) - sqrt(4356))*6 - ((sqrt(4356) + (2*sqrt(4356) - sqrt(4356)))*1 - sqrt(4356)))/(sqrt(36)/((sqrt(6)*2)/sqrt(2))*-4). -55*sqrt(3)/2 Simplify (5*5*(2*sqrt(170) + sqrt(170) + sqrt(170) + sqrt(170))*2)/((sqrt(10) + (sqrt(80)/sqrt(2))/sqrt(4) + sqrt(10) + sqrt(1000)*2)*-5). -50*sqrt(17)/23 Simplify 5*((sqrt(30)*2)/sqrt(5) - sqrt(6) - sqrt(24)/sqrt(4)*-6)/(sqrt(24)/(sqrt(8) + 2*sqrt(8)*-2)). -105*sqrt(2) Simplify 4 + 2*(-3*sqrt(363) + -2) + -4*(2 + 1 + sqrt(363)). -110*sqrt(3) - 12 Simplify (-1*sqrt(189)/sqrt(3)*3*4)/(((2*sqrt(90))/sqrt(5))/(sqrt(8)/(sqrt(4) - sqrt(64)))). 2*sqrt(7) Simplify ((sqrt(288) + 1 + sqrt(288) + sqrt(288) + 2 - (sqrt(288) + -1*sqrt(288)*-3 + sqrt(288))) + sqrt(288) + -1 + -4 + -4)**2. 144*sqrt(2) + 324 Simplify 0 + -5*((sqrt(102)/(-1*sqrt(3)))/(sqrt(2)*-1*-6))**2*1 + -4. -229/36 Simplify (6*(1*sqrt(1539)*-5 + (-4 + sqrt(1539)*2 - sqrt(1539)) + 3 + 1 + sqrt(1539) + (sqrt(1539) - 4*(sqrt(1539) + sqrt(1539)*3))))**2. 17950896 Simplify ((-4*sqrt(220)*-1)/((sqrt(120)*1 + sqrt(120))/sqrt(12)))/(sqrt(10)/((sqrt(120)/sqrt(3))/sqrt(8))*-2). -sqrt(11) Simplify (4*((sqrt(396) + 1)*-3 + -4 + sqrt(396) + sqrt(396)*1 + sqrt(396) + 1 + -3 + 5)*5)**2. 6400 Simplify -1*(-1 + (-2 + (1*sqrt(1008) - sqrt(1008)) - sqrt(1008))**2) + 5 + -4. -1010 - 48*sqrt(7) Simplify (-5*-5*-1*sqrt(72))/((sqrt(72) - (sqrt(72) - (sqrt(72) - sqrt(72)*-2)*6))/sqrt(192)). -100*sqrt(3)/9 Simplify 3*(1*(0 + sqrt(4800) - sqrt(4800)) + sqrt(4800) + -1)**2*3. -720*sqrt(3) + 43209 Simplify 3 + 1*(-3*(sqrt(95) + (sqrt(95) - sqrt(95)*2*1)))/(sqrt(245) + -2*2*sqrt(245) + sqrt(245)) + -2. 1 Simplify (((sqrt(225) + (-1*sqrt(225) + sqrt(225) - sqrt(225)))*-3)/((2*sqrt(45))/sqrt(9) - sqrt(5)))/(-2*sqrt(144)*-1*-1). 0 Simplify 5*((-3 + 0 + (-5 + (sqrt(448) - sqrt(448)*2) + sqrt(448) - sqrt(448)) + 4)**2 + 4 + -1)*-6. -14010 - 1920*sqrt(7) Simplify (((sqrt(1800)*-2 + sqrt(250)/(sqrt(20)/sqrt(4)))*-4)/(sqrt(20)/((sqrt(60)/sqrt(6))/sqrt(5))*3) + 4)**2. 352*sqrt(5)/3 + 9824/9 Simplify (1 + -5*(-2 + 6*sqrt(22)/sqrt(2)) + (sqrt(5324) - 1*sqrt(5324))*3)**2. -660*sqrt(11) + 10021 Simplify (6*sqrt(204)/sqrt(4) + sqrt
{ "pile_set_name": "DM Mathematics" }
range p**2 - 4*p**2 + 2*p**2 + (p - 1 + 1)*(-2*p + p + 2*p) + 0 + 3*p**2 + 0 - 7*p**2 - 18*p**2 + 3*p**2 to h*p**2 + d*p + l and give h. -19 Express 22*w - 8*w - 5*w + 21*w as m + f*w and give f. 30 Express -811*i**2 + 3 + 810*i**2 - i - 10*i as p*i**2 + h + a*i and give h. 3 Rearrange -5*x**2 - 3*x**2 - 2*x**2 + (3*x + 0*x - x)*(x - 7*x + 2*x) to the form z + u*x + k*x**2 and give k. -18 Rearrange -2*i**4 + 0*i + 4*i**3 + 0*i - i to the form r*i**3 + q + f*i**4 + p*i + j*i**2 and give p. -1 Rearrange h - 2*h**3 + 13*h**2 - 3*h**2 + h**4 + 0*h**4 - 5*h**2 to the form g*h**4 + m*h + z*h**2 + a + j*h**3 and give m. 1 Rearrange m**3 - 120*m + m**2 - 3*m**3 - 4*m**2 + 116*m + m**4 to a*m**3 + b*m + k + c*m**4 + r*m**2 and give r. -3 Express (1 + 1 - 714*f + 760*f)*(3*f**3 - 4*f**3 + 2*f**3) as d*f**3 + k*f**4 + x*f + a + m*f**2 and give d. 2 Express 7*c - 15*c**2 + 2*c**3 - 7*c + c**2 as p*c + n*c**3 + f + r*c**2 and give r. -14 Rearrange (-3 + 12 + 6 + (0 + 2 - 3)*(2 - 2 - 1) - 4 - 1 + 6)*(2*d + 0 + 0) to the form q + p*d and give p. 34 Express 0 + 7*r - 3*r + 8 in the form a + c*r and give c. 4 Express -h**4 + 9*h**3 + 9*h**3 - 2*h**2 - 17*h**3 + 2 in the form o*h + p*h**2 + n*h**3 + a + z*h**4 and give o. 0 Express (3*s - 5*s + 0*s)*(3*s**2 + 0*s**2 - 2*s**2) + (-5 - 12 + 3)*(2*s**3 - 3*s**3 + 3*s**3) in the form r + h*s + y*s**3 + a*s**2 and give y. -30 Rearrange -2 - 3*z**3 + 4069*z**2 + 4*z - 4069*z**2 to u*z**2 + l*z + w + o*z**3 and give l. 4 Express (0 - 3*u + 0)*(1 + 5 - 2)*(-1 + 5 - 3) + 2*u - 2*u - 2*u in the form z + o*u and give o. -14 Rearrange (-2 - 2 + 2)*(m + 0*m + m) + (0 + 3 - 4 + (3 - 3 - 1)*(0 - 2 + 4) + 2 - 6 + 3 + 50 - 13 + 46)*(-4*m + 2*m + 3*m) to k*m + a and give k. 75 Rearrange -4*l**4 + 0*l**3 + 0*l**3 + (2*l**3 - l**3 - 3*l**3)*(-4*l + 5*l + 3*l) to j + y*l + n*l**2 + g*l**4 + f*l**3 and give j. 0 Rearrange -3*k**2 + 3 - 145*k**4 - 2*k**3 - k - 4 + 146*k**4 to r*k**4 + v + m*k**3 + y*k + g*k**2 and give m. -2 Rearrange -10*q**2 + 21*q**2 + 6 - 13*q**2 to m*q + u + c*q**2 and give u. 6 Rearrange 13 + p**4 + p**4 + 10*p**2 - 23 + p + 9 to j*p**3 + w + r*p**2 + q*p + i*p**4 and give r. 10 Rearrange (0*i + 6*i - 3*i)*(2 - 3 - 1) to the form a + m*i and give a. 0 Rearrange -7*g + 32*g + 15*g to o + a*g and give a. 40 Rearrange (-2*j**2 - 3 + 3)*(84*j**2 + 12*j**2 - 49*j**2) to the form i*j + z*j**2 + a*j**4 + c*j**3 + y and give a. -94 Rearrange 2*o**2 + 2*o - 2*o + (-3 - 1 + 7)*(-o + 4*o - 2*o)*(6 + 12 - 4)*(-o + 3*o + 0*o) to the form h + r*o + b*o**2 and give b. 86 Express 10 - 76*y - 6 - 2 in the form m + z*y and give z. -76 Rearrange 37 + 64*l + 42 - 79 to the form x + u*l and give u. 64 Rearrange -39*v**2 + 39*v**2 - v + 11*v**3 - 2*v**2 - v**3 + 2*v**2 + (0 + v + 0)*(4 - 4 + 2*v**2) to the form c*v**3 + d + m*v + w*v**2 and give c. 12 Express ((0*s + 0*s - 2*s)*(-3 + 4 - 2) - 13*s + 0*s + 2*s)*(-3*s + 4*s - 3*s) in the form x*s**2 + t*s + z and give t. 0 Rearrange 3 - 3 - 2*h + (-1 - h - 1 + 2*h)*(5 + 0 - 1) to a*h + y and give a. 2 Express (6 - 1 + 5)*(-2*y + y + 8*y)*(-2*y**2 + 2*y**2 - y**2) in the form s*y**3 + z + m*y + u*y**2 and give s. -70 Express (-2*m + m + 0*m)*(6 - 6 + 18*m**2) as t*m**2 + i*m**3 + j*m + z and give z. 0 Rearrange 4*a**3 - 1 - 2*a + 3 - 2 to k*a + t + o*a**2 + g*a**3 and give o. 0 Rearrange -m**3 - 3*m**4 - 34 + 14 + 11 to the form c + l*m**4 + h*m**2 + x*m**3 + b*m and give l. -3 Express (-144*z + 144*z + 3 + 4*z**2)*(3 + 0 - 1) in the form y*z + i + d*z**2 and give d. 8 Rearrange 54*o - 24*o - 21 - 28*o to g + v*o and give g. -21 Express -68*s**2 - 29 - 16 + 66*s**2 in the form n*s + a*s**2 + c and give a. -2 Express 6 + 2 - 8 - 2*r in the form q + g*r and give g. -2 Express 23 + 3*j - 6 - 1 - 9 in the form o*j + l and give l. 7 Express 15*g - 39*g + 15*g - 12 + 6*g in the form r*g + d and give r. -3 Rearrange -1 + 1 + p - 2*p + 3*p + 2*p + (-2 + 1 - 1)*(-2 + 3*p + 2) + 0 - 2*p + 0 + (4 + 2 - 5)*(2 + 2*p - 2) - 4 - p + 4 to the form f*p + v and give f. -3 Express -2*v**4 - v**2 + 8*v - 4*v**2 + v**2 as b*v**2 + o*v**4 + w*v**3 + j + t*v and give o. -2 Rearrange (0 - 7 - 4)*(-2 - 2*y**2 + 2) to the form j*y + r + n*y**2 and give n. 22 Express -f - 3*f**2 + 7*f**2 + 3*f**2 + (2 - 2 + 2)*(2*f**2 + 2*f**2 - 2*f**2) in the form z*f + t + k*f**2 and give k. 11 Rearrange 4*f**3 - 3*f**3 - 5*f**3 - 5*f + 0*f to the form t*f + v*f**3 + m + j*f**2 and give m. 0 Rearrange (-3*b + 4*b + b + (3*b - 30 + 30)*(0 + 2 + 0))*(b**2 + b**2 - 6*b**2) to the form i + p*b**2 + n*b + q*b**3 and give q. -32 Express 50*z**2 - 37*z**2 - 23*z**2 as d*z + h + v*z**2 and give v. -10 Rearrange (-2365 - 2367 - 60*x + 4730)*(-x**2 - 2*x**2 + 4*x**2) to the form u + p*x**3 + z*x + f*x**2 and give p. -60 Rearrange 4*c**3 - 3*c**3 + c**3 + (-c + 2*c**3 + c)*(16 - 4 - 11) to t*c**3 + g + v*c + r*c**2 and give t. 4 Express (-3 + 6 - 1)*(127*t**2 - 66*t**2 + 98*t**2) as f*t + g + y*t**2 and give f. 0 Express 20*y + 16*y - 6*y**3 - 39*y in the form n*y + p + m*y**3 + h*y**2 and give m. -6 Express (s**2 - s**2 + 2*s**2)*(2 - s - 2) + 1425 + 30*s**3 - 1425 + 3 + 9 - 3*s**3 - 13 as u*s + y*s**2 + h + b*s**3 and give b. 25 Rearrange 2*d**2 + 12*d + 1 - 7*d**4 - 3 - 12*d to b*d**2 + m*d**3 + w*d + p*d**4 + x and give x. -2 Rearrange -4*p**3 - 3*p**3 + 4*p**3 - 2*p + (2*p**3 + 2*p**3 - 6*p**3)*(-4 - 1 + 6) to the form f*p**2 + t*p + s + v*p**3 and give v. -5 Rearrange -21*z - 2 + 2 - 5 + 7 to j*z + i and give i. 2 Express 640 + 9*b - 640 in the form t + x*b and give x. 9 Express 38*x**3 - 6*x - 1 + 32*x**3 - 69*x**3 in the form w*x**2 + i*x**3 + a*x + o and give a. -6 Express (-3 + 2 - 1)*(3*i - 3*i - 4*i + 3*i + 2*i + i + 1 - 1 + i + (2*i + 0*i - i)*(-5 + 2 + 1) - 4*i - i + 3*i - 4 + 4 - 2*i) in the form f + w*i and give w. 6 Rearrange -24*i**2 - 21 - 3*i + 13*i**2 + 9*i**2 to q*i**2 + d*i + c and give q. -2 Express (0 + 0 + 5*p)*(-6 + 12 + 4) in the form y + j*p and give j. 50 Express -2*q + 0*q + 7*q + (0 + 0 - 1)*(1 - q - 1) + (5*q + 2 - 2)*(1 + 1 - 1)*(-2 + 1 + 3) in the form v + a*q and give a. 16 Express 11*w + 12*w - 23*w - 44*w**2 as y*w**2 + q + i*w and give y. -44 Express -17*j + 17*j + 20*j + 15*j in the form t*j + c and give t. 35 Express (-4*z**2 + 2*z**2 + z**2)*((-2 + 4 + 0)*(-6 + 4 + 1) + 0 + 0 - 2) in the form j*z**2 + r*z + d and give j. 4 Express -1 - 6*m + 6*m - 1 + 26*m**2 in the form r*m**2 + o*m + n and give n. -2 Rearrange 4 - 1 + 9*x - 8*x - 3*x**2 to z*x**2 + y + q*x and give y. 3 Express -2*j**2 + j**2 - 3 + 3*j**2 - 3 as h*j**2 + z*j + b and give b. -6 Express (0 + 2 + 0)*(-9*g - 12*g + 8*g)*(-3 - 3 + 0) in the form v + x*g and give v. 0 Rearrange b - 14*b**4 + 3*b**4 + 9*b**4 + 5*b**4 + 2*b**3 - 2 to the form z*b + x*b**2 + w + m*b**4 + h*b**3 and give w. -2 Express (2 + 3 - 2)*(-6*a**2 + 2*a**2 - 2*a**2) + (5*a**2 - a**2 - 3*a**2)*(-1 - 2 + 0) + 4*a**2 + a**2 - 3*a**2 as h*a**2 + d*a + p and give h. -19 Express (1 - 3 + 0)*(-2*z + 3*z + 0*z)*(2*z + 13 - 13)*(0 - 1 - 1 + 1 - 2 + 3 + (-2 + 0 + 1)*(0 + 0 + 1)) as i + c*z + y*z**2 and give y. 4 Express 0*s**2 + 6*s**2 + 10 - 10 as l*s**2 + t + q*s and give l. 6 Express -8*k + 8*k + 28*k**2 in the form l + m*k**2 + n*k and give m. 28 Rearrange -7*p - 12*p + 2*p + 33*p to c + i*p and give c. 0 Express r**2 + 1 - 1 + ((r - r - r)*(0 + 0 - 2) + 2 - 2 + 2*r)*(-2*r + 2*r + r) as g*r + j + u*r**2 and give u. 5 Express (-2 + 12 - 1)*(-a - 3 + 3)*(-3*a**2 + a + 0*a**2 + a**2) in the form d + l*a + o*a**2 + v*a**3 and give v. 18 Rearrange 2*p**3 - 8*p**2 - p + 0*p**3 + 10*p**2 - 4*p**4 to b + m*p**3 + u*p**4 + s*p**2 + c*p and give u. -4 Express (3*x - x + 0*x)*(-3 + x + 1 + 0 + (x - 4*x + x)*(4 - 2 - 4) + 5*x - 3*x + 0*x + 1 - 3*x - 1) in the form p + n*x + m*x**2 and give m. 8 Express (2*y**2 + 0 + 0)*(-12 + 15 + 94*y - 3) in the form g*y + t*y**3 + a*y**2 + m and give t. 188 Rearrange (-4 - 2*t + 4)*(-1 + 1 + 1)*(3 + 1 - 5)*(1 + 2 - 6)*(-8*t + 8*t + 2*t**2) to p*t**2 + y*t + q*t**3 + d and give q. -12 Express 2*m**4 + 11*m**4 - 3*m**4 + 6*m**4 + 3 - 3 + (0 + 2*m + 0)*(m**3 + 2*m - 2*m) in the form i*m**3 + c*m**4 + y*m**2 + o + r*m and give c. 18 Express (-4*x**3 - 5*x**3 + 4*x**3)*(-7 + 16 + 10) in the form k + n*x**2 + l*x**3 + h*x and give l. -95 Rearran
{ "pile_set_name": "DM Mathematics" }
to seven decimal places. 0.0000003 Let c = 0.083 - 0.106. What is c rounded to three dps? -0.023 Let y = 0.4 + -2.8. Let k = y + 2.606. Let r = -0.2 + k. Round r to 2 decimal places. 0.01 Let t = -1 + -2. Let s be (-18)/(-4)*(-4)/3. Let z be (174 + t)/(s/(-2000)). Round z to the nearest ten thousand. 60000 Let v = -9.214 - -9.3. Let r = -0.1 + v. Round r to two dps. -0.01 Suppose 0 = 2*w + 6, w + 165 = -2*b - b. Round b to the nearest 10. -50 Suppose -n + 4*m - 12 = n, 3*n - 2 = 2*m. Suppose 5 + 10 = -5*f, 3*x - n*f + 3299988 = 0. What is x rounded to the nearest 1000000? -1000000 Let j = -0.027953 + 190793.027953. Let k = j + -190646.919. Let m = 146 - k. Round m to 2 decimal places. -0.08 Suppose -f = 3*f + z - 2365648, 0 = -5*f + 3*z + 2957043. Suppose -5*h = f - 6641411. What is h rounded to the nearest 100000? 1200000 Let f(r) = -9402*r - 10. Let q be f(-5). What is q rounded to the nearest 10000? 50000 Let s = -73 - -70.1. Let r = 2.8977 + s. What is r rounded to 3 decimal places? -0.002 Suppose -4*z - y + 1 = 35, z + 4*y = -16. Let c be (-6)/4*(z - -2). Let b = c + -16. Round b to zero dps. -7 Let a = 0.46 + -25.46. Let r = a + 17.8. Round r to the nearest integer. -7 Let b(r) = r - 5. Let y be b(6). Suppose -x = 5 - y. Let d be -12*((-240)/(-9))/x. Round d to the nearest 10. 80 Let t = -0.495 - -0.49500263. What is t rounded to 7 dps? 0.0000026 Let a = 99 + -99.91. Round a to 1 decimal place. -0.9 Let o be (-10)/(-45) + 7996630/(-18). Let m = 974257 + o. Round m to the nearest 100000. 500000 Let r = -9.901 - -9.9. Round r to two dps. 0 Suppose -4*t - 5*v + 466784 = 0, 0 = t + v - 4*v - 116713. Suppose -3*d + 302701 = t. What is d rounded to the nearest ten thousand? 60000 Let j = 0.07 + -1.57. What is j rounded to 0 dps? -2 Let q = -2 - 1. Let s = -2.999996 - q. What is s rounded to 6 dps? 0.000004 Suppose -2*h + 9*h = -595. What is h rounded to the nearest ten? -90 Let v = 10.09 + 0.21. Let c = v + -9. Let h = c + 21.3. What is h rounded to the nearest integer? 23 Let a = 15.1572 + -0.1597. Let y = a + -15. What is y rounded to three dps? -0.003 Let r = 0.51 - -5.69. Round r to the nearest integer. 6 Let n be (-4 + (-1036)/6)*(-6)/2. What is n rounded to the nearest 100? 500 Let b(q) = -187002*q - 6. Let y be b(-3). Round y to the nearest 100000. 600000 Let w = -0.03 - 22.97. Let m = 23.000065 + w. Round m to 5 decimal places. 0.00007 Let b be 5 - (-1 + 0)*-3. Suppose -4*g = -5*j - 5, -j - g = b*g - 18. Suppose -252 + 2022 = -j*m. What is m rounded to the nearest 100? -600 Let z = 13.9 - 14. Round z to one dp. -0.1 Let c = -9588583.30000055 - -9588583. Let w = c + 0.3. Round w to seven dps. -0.0000006 Let s = -300.1 - -245. Let v = -51 - s. Round v to zero decimal places. 4 Suppose 45 = 2*r - b, -3*b + 5 - 40 = -r. Let h be r/(-6)*40*3600. What is h rounded to the nearest 100000? -500000 Let j = -12396930 - 4452610. Let z = j + 16849541.7000046. Let h = z + -1.7. What is h rounded to six decimal places? 0.000005 Let u be (-20)/((-8)/492*3). Round u to the nearest one hundred. 400 Let x = -3.117 + 2.92. Let b = x - -0.196842. Round b to five decimal places. -0.00016 Let m = -1.63843259 - 12.6615667. Let w = m - -14.3. Round w to seven decimal places. 0.0000007 Suppose 1720 = -2*r - 0. Round r to the nearest 100. -900 Suppose 2*t + 4*t + 2232 = 0. Round t to the nearest ten. -370 Let t = 0.12 + 0.68. Let z = -0.79785 + t. What is z rounded to four dps? 0.0022 Let g = -4.4 + 4.4189. Round g to three decimal places. 0.019 Suppose 4*a + 0*a + 791994 = 2*v, 198006 = -a - 2*v. Round a to the nearest 10000. -200000 Let c be -4 + 2 - 1548/(-4). Suppose 0 = -5*d + 380 + c. Round d to the nearest 10. 150 Let m = 1.337 - 1.3. Let q = -17.563 - m. Round q to the nearest integer. -18 Let r = 1.7026 + -1.7. What is r rounded to three decimal places? 0.003 Let v = 13012.42351918 - 0.07751918. Let k = -13010.3459998 + v. Let c = -2 + k. Round c to six decimal places. 0 Let x = 0.74 - 29.74. Let p = -28.9999962 - x. What is p rounded to 6 decimal places? 0.000004 Let j be ((-16)/24)/(1/3). Round j to the nearest 10. 0 Let z = -26.0000078 + 26. Round z to 6 decimal places. -0.000008 Let z(y) = -92*y. Let j be z(-7). Suppose 4*k = -n + 848, -4956 = -5*n + 4*k - j. Round n to the nearest one hundred. 900 Let v = -3607493.69 + 3590513. Let f = 16936.69132 + v. Let a = -44 - f. What is a rounded to 4 dps? -0.0013 Let b = 0.194 + 3.821. Let o = b - 4. Round o to two decimal places. 0.02 Let c be 18/(-4) - (-1)/2. Let z(p) = -493751*p**2 - 3*p + 4. Let n be z(c). What is n rounded to the nearest one million? -8000000 Let h = 25 + -35. Round h to the nearest 100. 0 Let t = -0.04 - 17.96. Let w = -17.997165 - 0.013235. Let z = t - w. What is z rounded to three dps? 0.01 Let z = 18.19 - 18. Let b = z + 14.81. Let v = b + -14.9999993. What is v rounded to 6 dps? 0.000001 Suppose 5*l + 0*d = -5*d + 64495, -5 = 5*d. Round l to the nearest one thousand. 13000 Suppose 0 = -3*u + 707 + 19. Round u to the nearest 10. 240 Let f = -6503743 - -6503742.90799926. Let l = -51 + 50.908. Let j = l - f. What is j rounded to seven decimal places? 0.0000007 Let g be 9/12 + 6729/(-12). Round g to the nearest 100. -600 Let z = -115191034.20000173 - -115191043. Let c = 8.8 - z. What is c rounded to 7 dps? 0.0000017 Let w = -164.2 + 143. Let g = 21.19999907 + w. What is g rounded to 7 decimal places? -0.0000009 Suppose v - 2*a = 2009741 + 6690253, -v = -3*a - 8699991. What is v rounded to the nearest one million? 9000000 Let h = 4.15 - -312.85. Let k = h + -314.99. Round k to one dp. 2 Let j = -138798 - -8798. What is j rounded to the nearest 10000? -130000 Let s = 0.15 + 0.05. Let n = -160.988 - -161.187974. Let l = s - n. Round l to 5 decimal places. 0.00003 Let b = -1589805.967429071067 - 0.032830928933. Let z = -1589828 - b. Let q = 22 + z. What is q rounded to 4 dps? 0.0003 Let r(m) = 10 + 10*m - 5*m - 2 + 23*m**3. Let z be r(-7). Let k be (-4)/(-22) + z/(-22). What is k rounded to the nearest one hundred? 400 Let s be (2/(-4) + 0)*-158. Suppose 0 = 5*h + 12 - 207. Let i = h - s. Round i to the nearest 10. -40 Let c(a) = 5 + 1533333*a**2 - 8 + 3 + a. Let t be c(3). What is t rounded to the nearest 1000000? 14000000 Let n = 1144 + -1143.98971. What is n rounded to 3 decimal places? 0.01 Suppose -90000 = -3*o - 3*b, -o + b = 2*o - 90000. What is o rounded to the nearest ten thousand? 30000 Let q(k) = 17*k**3 + 6*k**2 - 10*k + 7. Let h be q(6). Let c(g) = 22*g**2 + 11*g - 6. Let a be c(-11). Let z = h - a. Round z to the nearest 1000. 1000 Let i = 31046 + -18546. Round i to the nearest 1000. 13000 Let k = 0.06 + -0.028. Let b = k + -0.0258. What is b rounded to three decimal places? 0.006 Let y(c) = -c**2 - 15*c - 18. Let r be y(-14). What is r rounded to the nearest ten? 0 Let p = 34 - 22.7. Let l = -12 + p. What is l rounded to 1 decimal place? -0.7 Let v = 7 + -7. Suppose -2*p - 2*p + 12 = v. Suppose p*w = -22257 - 298743. What is w rounded to the nearest 10000? -110000 Let r(b) = 73*b**3 - 4*b**2 - 5*b. Let v be r(5). Round v to the nearest one thousand. 9000 Suppose -3*r + m - 1288 = -0*m, 2*m - 1716 = 4*r. Round r to the nearest one hundred. -400 Suppose -2*w - 9 = 1. Let f be (-2 - w)*(-89 - 1). Round f to the nearest one hundred. -300 Let n = -13 - -12.9999885. What is n rounded to six decimal places? -0.000012 Let v be 8/28 + 46/(-14). Let b(d) = 218*d - 1. Let l(f) = 219*f - 1. Let m(s) = 4*b(s) - 5*l(s). Let z be m(v). Round z to the nearest 100. 700 Suppose -m + u = -2, 4*u - 4 = -2*m - u. Suppose m*v + 3*v - 76500000 = 0. Round v to the nearest one million. 15000000 Let x = 0.05649116 + -17.05658816. Let s = x - -17. Round s to five dps. -0.0001 Let d(o) = -17*o**3 - 6*o**2 - 8*o - 4. Let l(z) = -z**2 - 4*z - 6. Let c be l(-4). Let m be d(c). Round m to the nearest one thousand. 4000 Let r = 0.3979 - 740.4979. Let p = r - -707. Let g = -29 - p. What is g rounded to the nearest integer? 4 Let m = 546.90529 + 0.06471. Let y = m - 547.54114. Let s = 0.57 + y. What is s rounded to 4 dps? -0.0011 Let a(x) = -6 + 12*x - 2*x**2 - 4*x**2 + 5*x**2. Let k be a(5). What is k rounded to the nearest ten? 30 Let w = -39.000016 + 39. What is w rounded to 5 dps? -0.00002 Let u =
{ "pile_set_name": "DM Mathematics" }
k. -2 Solve -m - 1 = -4*l, -l - 3 = 3*m - 3*l for m. -1 Solve -26 = 3*m - 7*m - 2*p, 4*p = m + 7 for m. 5 Solve l - 6*l = 5*b, -3 = 5*l + 2*b for l. -1 Solve 5*b - a = -6*a - 20, -3*b + 3*a = 0 for b. -2 Solve -2*x + 3 + 3 = 0, 3*s - 4*x = -30 for s. -6 Solve 18*z = 19*z + 4, -y + 22 = -5*z for y. 2 Solve -3*k - 86*m = -87*m + 2, 8 = 4*m for k. 0 Solve 0 = -2*h - 8*q + 11*q + 19, -4*h + 29 = -3*q for h. 5 Solve 3*s + 12 = 0, -5*s - 25 = -2*n + 1 for n. 3 Solve 4*p + 2*v + 12 = 0, 23 = -4*p + p + 2*v for p. -5 Solve -o = -3*m + 11, -m + 5 + 2 = 3*o for o. 1 Solve 3*r = 3*s, -3*s - 8 + 1 = 4*r for s. -1 Solve -6*b = 3*r - 5*b + 9, 0 = -3*r + 5*b - 27 for r. -4 Solve 6*o - b - 30 = o, b + 10 = o for o. 5 Solve -4*n + 1 = 3*p - 16, -3*n = -2*p for n. 2 Solve -3*f - 8 = 4*p, -5*p = -5*f - 11 - 14 for f. -4 Solve -3*g - 5*u = -13, -5 = 5*g - 0*u - 5*u for g. 1 Solve 5*l = 4*k + 3, -4*l + 3*l = 5*k - 18 for l. 3 Solve 27 = 3*g - 3*u, -3*u - 26 = -11 for g. 4 Solve 2 = 4*z + 18, -5 = -i + 2*z for i. -3 Solve 4*g = -3*l - 2, -l + 10 - 14 = 3*g for l. 2 Solve -369*r + 371*r + 3 = h, -2 = -h + r for h. 1 Solve -2*k = -4, 5*v + k = 9*v - 14 for v. 4 Solve -4*v - 4*o = 0, 5*v + 82*o - 84*o = -21 for v. -3 Solve -2*p + d - 6 = 4*d, -d = 2*p + 2 for p. 0 Solve -5*a = -g - 19, 0 = -2*g - 2*a - 175 + 197 for g. 6 Solve -5*u = -m - 4 - 14, -3*u = m - 6 for m. -3 Solve -3*p + 6*m = 10*m - 10, 0 = 4*p + 3*m - 18 for p. 6 Solve 4*s + 5 = 3*f, 5*f + 0 + 7 = -s for s. -2 Solve -17*x - 16 = -13*x - o, -5*x - 13 = -3*o for x. -5 Solve -y + 3*y + 11 = m, 8 = -y + 3*m for y. -5 Solve q = 4*q + 3*v + 9, 2*q + 6 = -3*v for q. -3 Solve 3*c + 11 = -4*n + 2*n, 3*n - 26 = 4*c for n. 2 Solve -5*z + 0 = 3*a - 9, -z = -a + 3 for z. 0 Solve 5*g - 4 = -2*l, 22 - 4 = -4*l + 3*g for l. -3 Solve 20 = -4*u - 4*k, 4*u - 39*k - 16 = -37*k for u. 1 Solve -v - 2*y - 25 = -7*y, y = -v - 1 for v. -5 Solve -5*c - 5*q = 15, -q = 3*c + 2 + 3 for c. -1 Solve y - 8*v = 53, -22 + 1 = 3*v for y. -3 Solve 3*h + 4*i = -13, -2*i = -4*h - h - 13 for h. -3 Solve -27*p + 29*p + 4 = 3*o, 0 = 5*p + 25 for o. -2 Solve 3*c = -5*n + 24, 36*c - 32*c - 6 = 2*n for c. 3 Solve g + 5 = -4*z + 20, -3*z = -g - 20 for g. -5 Solve -8 = -4*a + 4*n, -6*a + 5*n = -4*a - 19 for a. -3 Solve 0 = r - z + 2, -6*r = -3*r + z - 6 for r. 1 Solve o - 9 = -4*w + 3, 0 = -5*o - 4*w + 12 for o. 0 Solve -2*l = -3*l - 4*z + 3, 2*l = 2*z - 14 for l. -5 Solve -15 = -11*o + 8*o, -2*o + 8 = 2*r for r. -1 Solve 6*b - 2*v = 32, 0 = 5*b - 3*v + 16 - 48 for b. 4 Solve 0 = 3*z - v + 13, 3*z + 34 = 5*v + 29 for z. -5 Solve 2*i - 3*i + 15 = -4*y, 0 = -3*i + y + 1 for i. -1 Solve 8 = 5*f + a, -4*f + 2 = -5*a + 8*a for f. 2 Solve -f - 4*l + 24 = 0, 0*f - 4*f + 11 = -l for f. 4 Solve 3*y - 4 = 4*k, 5*y = 22*k - 23*k - 1 for y. 0 Solve 7*k + 15 = -5*v + 5*k, 2*k + 10 = 0 for v. -1 Solve 2*z - 6 = -4*o, -3*o + 2 = -7 for z. -3 Solve -2*n = -x + 15, 3*x - 32 - 8 = 5*n for x. 5 Solve -4*x - 17 = 5*h, -x - 3 = -0*x for h. -1 Solve 7*z - 4*z - 21 = 3*m, -2*m + 21 = 5*z for z. 5 Solve -z = -4*l - 7, 5*l + 4*z + 53 = 18 for l. -3 Solve 2*s - 11 = g, -6*s - 7 = -7*s + g for s. 4 Solve 2*y + 3*y = 0, -s + y = 0 for s. 0 Solve -4*w = -3*i - 0*i - 14, -w = -2*i - 1 for w. 5 Solve 3*s = 12, -12*t - s = -10*t + 4 for t. -4 Solve -3*z - 4*w - 3 = -8*z, -2*w = -3*z + 3 for z. 3 Solve -5*d = 3*w + 86 - 57, 2*w = 4*d + 10 for d. -4 Solve 6*j = 4*z + j - 4, 0 = -z + 3*j + 8 for z. -4 Solve -3*z + c = 0, -2*c - 10 = 4*z - 0*c for z. -1 Solve -4*d - 8 = 5*w - 18, -4*w + 2*d + 8 = 0 for w. 2 Solve 6*r + 2*m - 25 = r, 0 = -m for r. 5 Solve 2*k - 4*d + 7 = 9, 4*d = -12 for k. -5 Solve -q = q + o + 11, -8 = 5*q - 4*o for q. -4 Solve -5*n = 2*i - 7*i - 5, -5*n = 2*i + 16 for n. -2 Solve -2*k + 28 = 4*h, -11 = -5*k - 5*h + 34 for k. 4 Solve -3*g + 5*m - 11 = 0, -9*m + 20 = 2*g + 15 for g. -2 Solve 3*z + 0 = 6, -2*k - z = 2 for k. -2 Solve -h - u = 6, -3*h = 117*u - 121*u - 10 for h. -2 Solve -d + 5*b = -14, 2*d + 3*b = -16 + 5 for d. -1 Solve -3*a = 4*c + 7, 39*c - 36*c = 5*a + 2 for c. -1 Solve 2*y - 2 = 4*p, 0 = -4*y + 50*p - 53*p + 15 for y. 3 Solve 5*k - 2*f + 28 = 0, 17*k = 18*k + 4*f - 12 for k. -4 Solve 3*j + 6 = 2*b, 58*j + 29 = -3*b + 53*j for b. -3 Solve 4*a - 11 = -5*v, 3*a = -2*v + 1 + 9 for v. -1 Solve -l - 3*n + 12 = 0, -5*l - 5*n = -n - 5 for l. -3 Solve -y - g = 0, 6 - 8 = 2*g for y. 1 Solve 4*z + 32 = -5*s, -4*z - 1 = 4*s - 9*z for s. -4 Solve 4*j + 40 = 4*u, 6*u + 5*j = u for u. 5 Solve -2 - 2 = 4*x - 3*k, 4*x + 4 = 2*k for x. -1 Solve 3*p + 2*s - 1 = 4*p, 3*s = 5*p - 16 for p. 5 Solve 0 = -z + 4*f - 6*f + 12, -f = -5 for z. 2 Solve -2 = o + 2*r, 2*o - 8 = o + 3*r for o. 2 Solve g = 3*s - 7, 5*g + 9 = 4*s - 4 for g. -1 Solve -5*a - 31 = 4*w - 19, 0 = -5*a + 3*w - 26 for a. -4 Solve 10 = -4*u - 2*y, -u + 4*y = 2*u + 24 for u. -4 Solve 11*y - 12*y - 9 = -2*t, -23 = -5*t + 3*y for t. 4 Solve 34*v - 29*v - 5*m = 30, -4*v - 4*m = -8 for v. 4 Solve -5*o - 2*l - 33 = 0, 85*l = 2*o + 81*l - 6 for o. -5 Solve 47 = 4*r - d + 30, -2*r + 5*d = -13 for r. 4 Solve -2*q + 52 - 42 = 0, 23 = x + 5*q for x. -2 Solve -2*u = -45*f + 49*f + 8, 0 = -f + 3*u + 5 for f. -1 Solve -9 = 3*d, -2*z + 11 = -4*z - 3*d for z. -1 Solve -3*h - 15 = 3*f, 74*f - 4*h - 14 = 75*f for f. -2 Solve -7*a = 4*u - 4*a - 23, 4*u = -2*a + 18 for u. 2 Solve -m - 8 = -4*w, 3*m - w + 13 = -0*m for m. -4 Solve -4*z + 2*x - 10 = 12, 3*x = -5*z for z. -3 Solve 3*g - 5*i + 39 + 3 = 0, 2*i + 8 = -5*g for g. -4 Solve -4*w - 36 = 5*i, -10*i - 4*w - 12 = -11*i for i. -4 Solve 2*t + 15 = -5*g + 3, 3*t = 2*g + 20 for t. 4 Solve -3*i + 6*i - 4*x = -3, -3*x + 6 = -i for i. 3 Solve -d + 155 = 5*q + 181, -3*d - 3*q - 18 = 0 for d. -1 Solve 6*g - 2*g - 7 = -3*b, -5*b = -25 for g. -2 Solve 68*b - 69*b = -3*u - 6, -4*b - 2*u = 18 for b. -3 Solve -l = -2*m + 6, 19*m - 14 = 3*l + 17*m for l. -4 Solve 5*n - 4*g = 26, -35 = 5*g - 15 for n. 2 Solve 0 = -4*y + 2*d + 4, 2*d + 5 = 5*y - 0 for y. 1 Solve 4*s + 52*u - 18 = 55*u, -4*u + 7 = 5*s for s. 3 Solve 38*q - 3*p = 34*q - 22, 20 = -2*q + 3*p for q. -1 Solve 3*h - 22 = w - 44, 5*w - 2 = -3*h for h. -6 Solve 0 = 3*o + 4*y - 35, -5*o = -4*y + y - 10 for o. 5 Solve -2*i - 5*l = -i + 9, 5*i + 21 = -l for i. -4 Solve 0 = 2*w - 7*d + 10*d - 12, -5*d = 4*w - 22 for w. 3 Solve 2*m + d - 3 - 3 = 0, 2 = -4*m + 5*d for m. 2 Solve 2*p - 13 = -3*m - 16, -4*p - 15 = -3*m for p. -3 Solve -5*c - 5 - 4 = x, -5*x - 4*c - 24 = 0 for x. -4 Solve -3*m - 11*n + 19 = -6*n, -2*m = 3*n - 12 for m. 3 Solve 5*r + 20 = -4*y, 0*r = 3*r for y. -5 Solve -4*x = 3*z + 32, -248*z + 253*z = -2*x - 30 for z. -4 Solve 0 = 4*j - 11*p + 10*p + 7, 0 = -j - 3*p - 5 for j. -2 Solve -2*v + 1 = 3*t, 2*t + 7 + 7 = -5*v for v. -4 Solve 0 = -4*n - 12, -3*n - 2 = -5*m + n for m. -2 Solve 4*t + 4*n - 6*n = -8, -4*t - 4 = -3*n for t. -4 Solve g - 4 = -3*x, 10 = 3*x + 7 for g. 1 Solve f + 5 = 1, 0 = -4*k - 5*f - 32 for k. -3 Solve -3*b - 7 = 2*y - 8, 7 = 3*y - b for y. 2 Solve -4*a + 5*d = 1, 5*a = 4*a - 2*d + 3 for a. 1 Solve 16*z = 11*z - 5*n + 20, -z = 2*n - 9 for z. -1 Solve 19 - 21 = 3*p - d, -4*d + 19 = -p for p. 1 Solve -2*w - 4 = o - w, 2 = o - 2*w for o. -2 Solve 0 = 5*b + 5*u - 55, 5*b - 2*u - 76 + 56 = 0 for b. 6 Solve -2*k + 2*n = 10, 4*k - 2*n = k - 14 for k. -4 Solve -2*c - m - 13 = 0, -2*c - 5 = -4*c + 5*m for c. -5 Solve 20 = -5*r, -3*r = 2*k + 15 - 11 for k. 4 Solve -24*k - 1 = 5*p - 22*k, 0 = -2*p + 2*k - 20 for p. -3 Solve 2*t + 3*z + 4 = 11, -3*z = 5*t - 22 for t. 5 Solve 0 = -b + 2*v + 8, -35*b = -30*b + 4*v + 16 for b. 0 Solve d = 5*h + 21, 0 = 30*d - 28*d - h - 6 for d. 1 Solve -2*r + 8 = -4*v - 0*v, -4*v = r + 8 for r. 0 Solve -4*r - 16 = 0, -l = 5*r - r + 16 for l. 0 Solve 3*p + 5*b = -3 - 3, 2*p - 5*b = 21 for p. 3 Solve 2*s + 2 = 2*a + 10, -4 = -3*s - 5*a for s. 3 Solve -5*r + 3*r - c = -5, 0 = 4*c - 20 for r. 0 Solve 8 = -2*h + x, 5*h - 17*x + 18*x = -13 for h. -3 Solve -3 = -3*i, -5*i = -4*w - 9 - 8 for w. -3 Solve 5*b - 18 = 2*t, -19 = -3*b - 2*t - 5 for b. 4 Solve -28 = -4*a - 4*u, a = -0*a - 5*u + 19 for a. 4 Solve 22*q = 18*q - 3*c + 17, c = 3*q - 16 for q. 5 Solve -5*z + 1 = 2*v + 22, -4*v = -2*z - 18 for z. -5 Solve 4*a + 16 = -2*l, 15 + 3 = -4*l - a for l. -4 Solve 3*y - 26 = 4*h, 23*h
{ "pile_set_name": "DM Mathematics" }
*11 - (-48)/(-12). Suppose 5*f + 7 = -m + c, 5*f - 155 = -3*m. What is the tens digit of 3470/m + (-6)/(-10)? 7 Suppose 0 = c - 2*o - 176, 5*o - 223 - 429 = -4*c. What is the tens digit of c? 6 Suppose 5*o - 4138 = -4*c + 2*c, 2*o - 1672 = -5*c. What is the tens digit of o? 2 Let q = 1348 - 599. What is the hundreds digit of q? 7 Let z be 72/32 + (-2)/8. Suppose -z*a = 6*a - 216. What is the units digit of a? 7 Let j(i) = -i**2 - 4*i. Let y be j(-4). Suppose y = 4*k - 12, 3*k - 333 = -2*t - t. What is the hundreds digit of t? 1 Let a(l) = -130*l**3 - l**2 - l - 1. Let f be a(-1). Suppose 2*y - 4*t - 84 = 0, 2*t - f = -3*y - 3. What is the tens digit of y? 4 Let f = 9987 - 4622. What is the tens digit of f? 6 Let u = 119 - 38. Suppose -4*g = 2*r - u - 145, 0 = -4*g - 4*r + 220. What is the units digit of g? 8 Let o(a) = 6*a**2 + 2*a - 25. Let b(v) = -19*v**2 - 6*v + 76. Let y(q) = 2*b(q) + 7*o(q). What is the hundreds digit of y(6)? 1 Suppose 79 + 48 = v. Suppose j - 107 - v = 0. Suppose 3*k + 66 - j = 0. What is the units digit of k? 6 What is the tens digit of (-226*9/(-24))/(39/208)? 5 Let c = -553 - -1267. What is the units digit of c? 4 Let r(t) = t**3 - 17*t**2 - t + 25. Let b be r(17). Suppose 5*k + 267 = b*k. What is the tens digit of k? 8 Let g = 239 - -2952. What is the thousands digit of g? 3 Let k(d) = 2*d + 2. Let r be k(-7). Let y(a) = -4*a - 10. Let t(f) = -5*f - 9. Let i(l) = 5*t(l) - 6*y(l). What is the tens digit of i(r)? 2 Suppose z + 377 = 5*b, -5*b = 35*z - 32*z - 389. What is the tens digit of b? 7 Suppose -4*w - u = -2166, 4*w - 11*u - 2162 = -10*u. What is the tens digit of w? 4 Suppose 2*r - 156 = 40. Suppose -263 = -3*k - r. What is the units digit of k? 5 Let v be (6 + -4)*(-6)/(-4). Suppose -8 = v*l + l. What is the tens digit of l/(-9) - 2156/(-99)? 2 Let z = -1 + 55. Suppose 5*h - 70 = 5*w, 2*w - 57 = -3*h - 5. Let i = z - h. What is the tens digit of i? 3 Let h(s) = s**3 - 13*s**2 + 8*s - 12. Let q = 11 + 2. What is the tens digit of h(q)? 9 What is the thousands digit of -2*-1459*(-7)/(-14)? 1 Suppose 2*s + 2*d = 116, -2*s + 2*d - d = -128. Suppose 8 + 56 = 5*m - 4*u, -5*m + s = -2*u. What is the units digit of m? 2 Let k = 336 + -332. Let y be (-103)/(-2) - 1/(-2). Suppose -k*m = -8*m + y. What is the tens digit of m? 1 Let a = -1203 - -1804. What is the units digit of a? 1 Let i = 447 - 313. Let f = i - 80. What is the units digit of f? 4 Suppose 112 + 423 = 5*t. What is the hundreds digit of 0 + -1 + t + 4? 1 Let c = -21 + 23. Suppose 38 + 64 = c*s. What is the tens digit of s? 5 Suppose -5*d = -3*w + 5287, -2*d + 8760 = 7*w - 2*w. What is the units digit of w? 4 Suppose -20 = -4*v, -2*v - 295 = 2*i + 3*i. Let l = i + 140. What is the units digit of l? 9 Let q(x) be the third derivative of 0*x**4 - 1/6*x**3 + 0*x**5 - 11/60*x**6 + 0*x - 3*x**2 + 0. What is the tens digit of q(-1)? 2 Suppose u - 2 = -0*u. Suppose -u*t - 3*y = -32, 5*t - 2*y - 2*y = 126. What is the tens digit of t? 2 Let m = 965 + 521. What is the hundreds digit of m? 4 Let r(d) = -d**3 + 20*d**2 - 2*d - 44. What is the hundreds digit of r(19)? 2 What is the units digit of 13*(8 + -7)*14? 2 Suppose -54 = -0*q - 3*q. Let s be ((-6)/3)/((-1)/q). Suppose -s - 28 = -2*i. What is the units digit of i? 2 Let y = 12 - 10. Suppose 3*v - 2*w = 8, -v = -3*w - y*w + 6. What is the tens digit of v/(-5)*(-2 + -38)? 3 Let t(d) be the first derivative of -d**4/4 + 5*d**3/3 + 7*d**2/2 - 2*d - 5. Let l be t(6). Suppose -y + 3 = -2*g + l, -g + 8 = y. What is the units digit of g? 3 Let w(i) = i**2 + 4*i + 3. Let l be w(-2). What is the units digit of 32 + 14 - (l*1 - -1)? 6 Let i(m) = -31*m + 48. Let f be i(-11). What is the hundreds digit of f/3 + (-4)/6? 1 Let c be 1*3/(-6)*0. Suppose -d - 2*q + 13 = 4*d, 3*d + 2*q - 7 = c. What is the units digit of d? 3 Let f(m) = 2*m**2 + 5*m - 9. Let h be f(-5). Suppose -4*g - h = -0*g. What is the tens digit of -4 + g + 17 + 1? 1 Suppose 1 = -i + 4. Suppose -57 = -2*s + c, 2*c + i*c = -3*s + 66. What is the tens digit of s? 2 Let s(k) = 15*k**2 + 2*k + 1. Suppose v + 2 - 4 = 0. What is the units digit of s(v)? 5 Let q = 79 - 75. Suppose v = 4*y - 442 - 9, q = 4*v. What is the units digit of y? 3 Suppose 14*m - 899 = -4483. Let g = -52 - m. What is the tens digit of g? 0 Let c(n) = 8 + 2*n - 28 + n. Suppose -19*f = -15*f - 64. What is the tens digit of c(f)? 2 Let k(n) = -173*n - 41. Let c be k(-8). Suppose 2*d - y - 679 = 0, 4*d + 0*y = 5*y + c. What is the hundreds digit of d? 3 Suppose -8 = -2*c - 2*c. Suppose 412 = 2*b + i - 270, -c*b + 3*i = -674. What is the units digit of b/12 + 3/(-9)? 8 Suppose w - 5 - 1 = 0. Suppose -z - w - 1 = -o, 13 = 3*o + z. Suppose -96 = -4*v + 4*x, x = o*v + 6*x - 120. What is the tens digit of v? 2 Let a(q) = -q**2 + 13*q - 18. Let x = 18 - 10. What is the tens digit of a(x)? 2 Let v(y) = -17*y - 40. What is the tens digit of v(-5)? 4 Let f be 6 + -3 + 0/1. Suppose i - 16 = -f*i. What is the units digit of 14*-4*(-1)/i? 4 Let n = -16 - -14. What is the tens digit of (4 - (-10)/n) + 41? 4 Let t(u) = 4*u**2 + 41*u + 32. Let n(f) = -f**2 - 10*f - 8. Let a(p) = -9*n(p) - 2*t(p). Let o be a(-5). Let l = 43 + o. What is the units digit of l? 6 Suppose 4*b + 3*l - 515 = 2*b, -533 = -2*b + 3*l. What is the hundreds digit of b? 2 Let u(x) = 14*x - 6. Let d be u(5). Suppose 3*o - d = 134. What is the tens digit of o? 6 Suppose 14 = 2*k - 34. What is the hundreds digit of (1/(6/k))/(1/31)? 1 Suppose 5*u + 4*a - 8 = 10, 5*a = -5*u + 20. Suppose 2*l = 5*l + 3*w - 123, u*l = -5*w + 70. What is the units digit of l? 5 Let v(b) = b + 5. Let w be v(3). What is the tens digit of 313/w + 5/(-40)? 3 Let i = -135 - -137. Suppose -572 = -2*z + 2*u, i*z - 332 - 225 = -3*u. What is the tens digit of z? 8 Let l(f) = -f**2 + 6*f + 9. Let t be l(7). Suppose 6 = t*g, 2*i - 29 = -0*i - 5*g. Suppose 3*k = d + 115, -k - 3*d + 28 = -i. What is the tens digit of k? 3 Let p be (-6)/9 + (-52)/(-6). Let k = -5 + p. Suppose 0 = -y + k*y + m - 30, 46 = 4*y - 5*m. What is the tens digit of y? 1 What is the thousands digit of (-2*(-7029)/(-44))/((-2)/12)? 1 Let n = -14 + -33. Let w = n - -82. What is the tens digit of w? 3 Let q(l) = 37*l**2 - 15*l - 21. What is the units digit of q(-5)? 9 Let p(c) = -16*c - 2. Let d be p(-2). Let n = d + -20. What is the units digit of (36/n)/(4/50)? 5 What is the tens digit of -5*7/(-7) - -3450? 5 Let a(y) = -2*y**3 - 2*y**2 + 2*y - 7. Let l be a(-3). Suppose -7*v = 2 - l. What is the tens digit of (10 - v) + -3 + 28? 3 What is the units digit of (-1)/(((-4)/48)/((-2282)/(-8)))? 3 Suppose 8826 = 23*y - 19*y + 3*f, 3*y - 2*f - 6611 = 0. What is the units digit of y? 5 Suppose 8 = 2*g + 2. Let q be 0 - (-2 - (-9 + g)). Let o = 28 + q. What is the tens digit of o? 2 Let f(y) be the second derivative of -5*y**3/6 + 29*y**2/2 - 2*y. What is the units digit of f(-7)? 4 Suppose -2*o + o + 250 = 0. Suppose -5*c - 4*a + o = 0, 4*c - 4*a - 73 = 127. What is the tens digit of c? 5 Let a(k) be the second derivative of k**3/3 - 5*k**2 + 12*k. Let m be a(5). Suppose -4*w = 2*s - 174, w - 36 = -3*s - m*s. What is the units digit of w? 5 Suppose -11*v = -7*v - 48. Let k = v - -14. What is the tens digit of k? 2 Let m = -262 + 411. What is the hundreds digit of m + -1 + 0 + 0? 1 Let g(w) = 2*w**2 - 4*w + 3. Suppose -2 + 8 = 3*k. Let l be g(k). What is the tens digit of l*(-4 - 44/(-3))? 3 Let l(h) = 42 + 2*h + h**2 + 34 - 5*h. What is the units digit of l(0)? 6 Suppose -2*c = 3*w - w - 28, -4*c + 20 = -5*w. Let f = c - 7. Suppose 19 + 41 = f*g. What is the tens digit of g? 2 Let a(v) = -v**3 - 12*v**2 - 12*v - 9. Let p be a(-11). Let x = 39 - p. Let u = x - 21. What is the units digit of u? 6 Suppose 0 = 9*z + 1220 - 12443. What is the tens digit of z? 4 Let k = 237 - -302. What is the hundreds digit of k? 5 Let x = 27 + -19. Let a = x + -3. What is the units digit of a? 5 Let f = 4337 - 1536. What is the hundreds digit of f? 8 Suppose -8*j + 710 = 62. Suppose j = 5*z - 594. What is the tens digit of z? 3 Let t = 311 - -50. What is the units digit of t? 1 Let k(w) = 4*w + 2. Let t be k(1). Suppose -3*h = -0*h - t. Suppose -h*g - 3*m = -3*g + 22, 105 = 4*g + 5*m. What is the units digit of g? 5 Suppose -2
{ "pile_set_name": "DM Mathematics" }
-2550)/(-3570)? -5/7 (-5*12/378)/((-280)/784) 4/9 Calculate 1/(((-30)/15)/4). -2 Evaluate 218/109*(-2)/(-1). 4 What is the value of 1422/237*5/6? 5 8/820*2*15/6 2/41 What is (74/2035*-11)/((-45)/(-3))? -2/75 What is (((-2464)/(-42))/8)/((-3)/((-36)/(-8)))? -11 ((-12)/2)/((9801/(-22))/27) 4/11 What is the value of ((-1)/2)/(-1)*(-4332)/1805? -6/5 Evaluate (1/(-1))/(((-21)/63)/(2/6)). 1 Evaluate 5/(1674/(-2232)*1/(-6)). 40 Calculate 57/20*(-184)/(-69)*(-30)/12. -19 (-2)/(6*(-7)/9) 3/7 What is the value of ((-108)/81)/((-84)/18)? 2/7 What is the value of ((-4)/5)/((284/14)/((-95)/133))? 2/71 What is the value of ((-4)/10)/((-20)/25)*(-126)/27? -7/3 What is the value of ((-9)/12)/((225/60)/(-3))? 3/5 128/44*231/42 16 What is the value of (728/(-14))/26*1/((-1)/(-8))? -16 Calculate (-17)/(-1700)*25*28*-1. -7 Calculate (3/6)/((-7)/(-10))*12/(-10). -6/7 (126/(-3))/2*(-3)/(-9)*-1 7 What is the value of (30/54)/(20/48)*21/14? 2 What is the value of (((-150)/(-15))/(-2*2))/(10/(-52))? 13 Calculate ((-3)/(-9)*2)/(3/(-36)*4). -2 What is the value of (1/(7/(-2)))/(19/(-1330)*-10)? -2 Evaluate (-184)/4*(-15)/(-30)*3/3. -23 What is the value of 2/1*84/(-224)*20/(-6)? 5/2 Calculate ((-12)/110)/((-195)/(-975))*-11. 6 Calculate -7*15/(-315)*((-6)/(-14))/(-1). -1/7 What is the value of (5/2)/((-6)/(-1512)*90)? 7 What is the value of (-4)/(22/(-55)*130/2)? 2/13 What is the value of ((-14)/(-6)*(-180)/63)/((-156)/(-234))? -10 -54*(-232)/145638*(-3)/4 -2/31 What is the value of (-2)/4*46/(-115)? 1/5 What is 33/220*((-12)/(-18))/(-1)? -1/10 Calculate ((-9456)/(-1970))/((-4)/20). -24 Calculate (2/(((-15)/6)/1))/(34/340). -8 What is 7/80*290/1015? 1/40 What is the value of (5/25*22/(-11))/((-22)/(-20))? -4/11 Evaluate ((-4)/5)/((-10)/250*-5). -4 What is 16/((520/(-650))/((-4)/10))? 8 Evaluate ((3/(-4))/((-15)/5))/(154/(-154)). -1/4 What is the value of ((135/20)/(-9))/(204/(-136))? 1/2 What is the value of 7/2*(-4472)/602? -26 Calculate 920/5750*(-5)/(-6). 2/15 What is the value of 240/192*12/(-10)? -3/2 (-40)/(3600/18)*110/(-8) 11/4 Calculate 16/(-30)*(-930)/2480. 1/5 What is the value of ((-6)/4)/((-39)/(-26))? -1 What is the value of -3*((-8)/(-60))/((-30)/(-325))? -13/3 Calculate (6/(-63))/((-189)/(-2268)). -8/7 (14/(-12)*132/462)/(1/(-3)) 1 What is the value of (6/136)/((-144)/(-384))? 2/17 1/(-14)*36/(-18)*-1 -1/7 (0/(-35))/((-7)/21*1*-3) 0 Evaluate (42/12)/(20/80*(-2)/2). -14 (-30)/(-20)*(-8)/(-3) 4 Calculate ((-48)/(-1320))/(8/20). 1/11 1529/(-417)*(-54)/(-2475) -2/25 Calculate (((-4)/1)/((-180)/(-126)))/((-2)/10). 14 Evaluate (6768/11280)/((-1)/2*3). -2/5 Evaluate 1278/8449*4/((-24)/(-14)). 6/17 Calculate -26*(-205)/(-1599)*((-24)/5)/1. 16 Calculate -1*(-47)/(4606/70). 5/7 What is the value of (18/21)/(15/(-90)*36/8)? -8/7 What is 3/((-10)/210*7)? -9 Evaluate 14*(1/28)/((-136)/(-1088)). 4 Calculate 164/(-1435)*((-14)/4)/1. 2/5 Calculate (-52)/(-65)*5*(-30)/8. -15 Evaluate 5*(-6)/((-60)/26). 13 Evaluate (27/(144/(-16)))/(9/12). -4 4/328*41*(-6)/2 -3/2 What is the value of ((-5)/30)/((-132)/28*518/(-666))? -1/22 Evaluate 5*7/(-70)*(-28)/(-7). -2 ((-123)/574)/(12/(-7)*3) 1/24 What is the value of ((105/18)/7)/((-12)/(-24))? 5/3 What is (29/(-29))/(30/(-6))? 1/5 (-318)/(-3604)*-34*19/(-3) 19 Calculate (-15)/3*((-12)/20)/((-30)/(-20)). 2 What is (2/(-8))/(2/(-4))*30/(-135)? -1/9 -9*((-90)/27)/(3/((-12)/10)) -12 6*((-3)/(-5))/((130/25)/13) 9 Evaluate ((-114)/1197)/((-10)/(-15)). -1/7 What is 5*10*14/(-175)? -4 Evaluate (6/27)/(2/(-3))*(-2067)/53. 13 Evaluate ((-42)/1512)/(3/8). -2/27 Evaluate 21*(-14)/(-196)*(-5)/(-45)*-5. -5/6 What is the value of ((-42)/81)/(-7)*1/2? 1/27 What is the value of ((-28)/(-231))/4*(-48)/16? -1/11 Evaluate 8*(-245)/1680*(-2)/63*-6. -2/9 Calculate (595/420)/(6/72). 17 What is the value of ((9/(-6))/((-50)/100))/((-3)/(-26))? 26 Evaluate 3/(-10*(-16)/(-960)). -18 Evaluate (-20)/(-60)*(-8)/8. -1/3 Evaluate ((-6)/2)/((-5)/(-1)*(-37)/(-1110)). -18 What is (0/(-9))/((-15)/15)? 0 What is the value of (5/((-840)/(-9)))/(22/(-352)*8)? -3/28 What is ((-5)/(-12)*4)/((-670)/(-12462))? 31 What is the value of 1334/92*14/7? 29 Evaluate ((-10)/(-390))/(24*23/1656). 1/13 What is (5/5)/(-7)*(-35)/(-240)*4? -1/12 Calculate (-100)/(-5)*(768/(-80))/24. -8 What is (11/11)/((-3)/(-240)*4)? 20 ((-21)/28)/(-1*2*14/(-28)) -3/4 Calculate (-8)/(72/(-9))*-4*5/(-380). 1/19 What is the value of (2/6*(-6)/(-49))/(1746/(-12222))? -2/7 Calculate (63/3)/(-1)*7/(777/74). -14 Evaluate (-25)/((-1125)/20)*-72. -32 Evaluate -11*(-3)/9*(-19)/((-190)/30). 11 What is -13*4*(-1629)/724*4/(-18)? -26 (12/(-90))/((9/5)/3) -2/9 Calculate (-33)/18*-7*(-30)/(-3850). 1/10 What is (((-6)/9*3)/(-2))/(4509/(-2004))? -4/9 Evaluate ((9/2)/(1/2))/(9/(-9)). -9 What is the value of ((-11)/(77/(-48)))/(4*29/406)? 24 What is the value of (184/(-161))/((-18)/(-63))? -4 What is the value of ((-14)/140)/((-1)/3)*(-37)/(-111)? 1/10 What is the value of (12/(-10))/(188/1410*3/(-11))? 33 What is 8/12*(-1)/(104/18)*2? -3/13 (6050/(-132))/(-55)*-3 -5/2 Evaluate ((-15363)/7966)/((-2)/28). 27 Calculate (4/28)/((405/(-18))/9). -2/35 (-105)/(-112)*-4*-4 15 What is (-7)/4*81/((-12879)/212)? 7/3 Evaluate 30/100*5*(-4)/(-222)*1. 1/37 What is 2/((-31)/((-10416)/32))? 21 (65/78)/(6/(-4))*48/(-8) 10/3 Calculate (-144)/(-20)*190/114. 12 85/((-8)/(-6)*(-2235)/596) -17 Calculate 3/18*-5*42/50*-5. 7/2 ((-1496)/(-24))/17*3 11 What is ((1404/39)/(-108))/(4/6)? -1/2 Calculate (-2)/(-7)*(6/(-2))/((-12)/(-364)). -26 Calculate ((-5)/(-1))/(-25)*(-1325)/159. 5/3 19/(((-2)/(-1))/((-7)/(133/38))) -19 Calculate (14/8*186/(-2821))/((-9)/12). 2/13 What is the value of 5*1*917/5502? 5/6 ((-2)/(-5))/(92/1150) 5 3/(-2)*20/(-1920)*8 1/8 Calculate (-5616)/1872*3/(270/8). -4/15 Evaluate (-1)/((-3*(-3)/153)/((-112)/112)). 17 Calculate (11/6)/((-105)/(-630)). 11 Evaluate (((-26)/286)/((-5)/(-55)))/((-13)/(-2)). -2/13 What is (2/(-14))/(1026/266)? -1/27 What is the value of ((-203)/87)/(28/180)? -15 What is the value of -1*10*((-762)/(-1778))/(6/(-7))? 5 Calculate (-26)/(-26)*11/(5/10*-2). -11 What is -20*(-4)/(-8)*91/65? -14 Calculate ((-270)/2100)/(15/(-25)). 3/14 Calculate (0/2)/(-5*(52/(-20))/13). 0 (-306)/187*(-902)/(-123) -12 Calculate ((-3)/((-6)/(-7)))/((-41)/82). 7 Evaluate ((-22)/4)/11*2*(-5)/20. 1/4 Calculate ((-1)/((-14)/(-4)))/((-2467)/(-189959)). -22 What is 24/(-10)*(-15)/6*(-12)/(-12)? 6 What is 12/(-10)*(-27232)/(-7659)*5/24? -8/9 Calculate 4/(-7)*15/(180/(-336)). 16 What is the value of (-145)/(-29)*28/42*12/64? 5/8 Calculate ((-24)/27)/((-6)/9*25/(-50)). -8/3 5*1*5*(-29)/(16675/598) -26 Evaluate (-3)/(((-138)/(-6348))/((-2)/12)). 23 (17/(578/(-12)))/((-11)/((-22)/(-4))) 3/17 What is the value of (-2025)/270*1/((-15)/(-3))? -3/2 What is (((-1)/(-1))/1)/((-11700)/(-900))? 1/13 Calculate 235/(-470)*(-3)/(30/(-4))*8. -8/5 Calculate (-36)/10*(-350)/210. 6 Calculate -10*5*1/20*14/(-210). 1/6 What is (-16)/(-3)*1344/512? 14 What is (10/(-50))/((-13)/((-10010)/(-11)))? 14 Calculate (34/4)/(708/1416). 17 What is the value of (-4)/(20*7/560)? -16 What is the value of ((-216)/(-16))/9*4/(-3)? -2 What is (-117)/988*48/36? -3/19 What is 0/(-372)*1/(-2)? 0 Calculate ((-9)/(-3))/((102/4)/(-17)). -2 What is the value of -38*(-13)/2470*4/((-144)/(-10))? 1/18 What is 15/(-27)*18/75? -2/15 Calculate ((14/49)/(11/22))/(-2). -2/7 Calculate ((51/30)/(-17))/(13/((-975)/(-420))). -1/56 Calculate ((-52)/117)/(-6*(-6)/162*1). -2 Evaluate -7*2/8*-11*(-13)/(-143). 7/4 What is the value of 58*60/(-2320)*(64/6)/(-2)? 8 What is the value of (-62208)/432*6/(-27)? 32 Evaluate (32/(-144))/(((-2)/126)/((-18)/(-36))). 7 (6/4)/(3*3/54) 9 Calculate ((-1100)/15)/(-11)*30/(-20). -10 -1*(-3)/9*-15*8/(-200) 1/5 What is 6/(17/(2431/33))*-1? -26 Evaluate -46*6/(-6)*-6*9/108. -23 What is the value of ((-2)/(6/25))/(75/(-10))? 10/9 ((-54)/(-36)*8/(-105))/((-30)/(-35)) -2/15 What is the value of 8/5*11340/1296? 14 What is (-980)/(-147)*(-1)/((-4)/6*-1)? -10 Evaluate ((-32)/(6/(-3)))/(-25*30/1500). -32 Calculate (2/(-54))/((-83)/(-498)). -2/9 Evaluate ((-4)/(-570))/(1/(-5))*(-9)/(-3). -2/19 Evaluate (-420)/(-245)*140/780. 4/13 What is (32/(-60))/(4/(-10)*(-6)/(-6))? 4/3 Evaluate (-70)/15*153/(-102). 7 What is the value of 630/60*(-8)/6? -14 What is 5/(-30)*3*(
{ "pile_set_name": "DM Mathematics" }
posite number? True Let s(k) = 6*k**2 - 4*k + 3. Is s(2) prime? True Let i(j) = 1. Let s(l) = 12*l - 5. Let g(z) = -4*i(z) - s(z). Is g(-3) a prime number? True Let v(h) = -h**3 - 2*h**2 - 8*h - 3. Is v(-8) composite? True Let b = 107 + -157. Let j = b + 85. Let c = j - -20. Is c a prime number? False Let a = 466 - -271. Is a prime? False Let p(r) = 270*r - 46. Is p(16) prime? False Let t(y) = -8*y**2 + 2*y + 1. Let a(s) = 15*s**2 - 4*s - 2. Let p(f) = 3*a(f) + 5*t(f). Is p(-2) a composite number? False Let q(p) = p**2 - 3*p - 5. Suppose j - 7 = 4*x + 2, -4*j = -3*x - 23. Let w be q(j). Suppose -374 = -2*t - 4*s, w*s + 801 = 4*t + 53. Is t a prime number? False Let x = -28 - -45. Suppose -2*u - 7 = x. Let b(v) = v**3 + 11*v**2 - 15*v - 5. Is b(u) prime? True Let k(j) = -23*j - 2. Let v(a) = 782*a + 69. Let o(p) = -69*k(p) - 2*v(p). Is o(2) a prime number? False Is ((-16)/24)/((-2)/381) prime? True Suppose 3*q + 4 = -4*x - 4, 4*q + 3*x + 6 = 0. Let y(k) = 6*k**2 - 2*k + 1. Let g be y(1). Suppose s - 4 = q, 0*v = g*v + 5*s - 95. Is v a prime number? False Let h = -30 - -29. Let b(z) = 5 - 26*z - 2 - 4. Is b(h) a composite number? True Let o(b) = -b - 6. Let p be o(6). Is (p/(-15))/((-4)/(-170)) a composite number? True Let d = -1 - -1. Suppose 0*k + k - 2 = m, m + 4*k - 8 = d. Suppose m = -4*h - 5*c + 1028, 0 = 4*h - 5*c - 0*c - 1028. Is h composite? False Let b(s) = s**2 - 1. Let w(a) = 2*a**3 + 9*a**2 + 3*a - 5. Let z(v) = -v**3 - 8*v**2 - 2*v + 4. Let k(y) = 2*w(y) + 3*z(y). Let r be k(6). Is b(r) composite? False Let d(k) = k**2 + k + 4. Let b(r) = -3*r**2 - 4*r - 12. Let v(s) = 6*b(s) + 17*d(s). Let c be v(-5). Suppose -t + 14 = h, -3*h + 3*t = -c - 36. Is h composite? True Is 85 - -2 - (0 - 0) prime? False Suppose -15 = -5*x + 4*l - 9*l, 2*x - 2*l = 14. Suppose -5*j = -3*n + 376, -3*n - x*j + 366 = -20. Is n a prime number? True Let m(b) = b - 8. Let v be m(11). Suppose 0 = v*l - 5*l + 422. Is l composite? False Suppose -4*x + 0*x - 3*k + 29 = 0, -4*k = 3*x - 27. Suppose -3*h + 5*h - x*j + 175 = 0, 4*h - 4*j + 344 = 0. Is -2 + 1*h/(-1) composite? False Let j(o) = o**3 - 13*o**2 + 7*o - 9. Let b be j(12). Suppose -2*a + 189 = -3*f, f - 412 + 101 = -3*a. Let c = b + a. Is c a prime number? False Suppose 4*q - m = -994, 14 = -q - 2*m - 239. Let i = q + 508. Is i composite? True Is -1 - (-88 + 1) - 1 a prime number? False Is 3/(-2) + 850/4 a composite number? False Let v(d) = d**2 + 10*d + 9. Let x be v(-9). Is x + 28/2 - 3 a prime number? True Suppose 5 = 6*p - 5*p, -4*u = 5*p - 593. Is u composite? True Suppose -2*z = 5*f - 5*z - 98, -f + 5*z = -2. Suppose -3*b + f = -2. Is (-75)/(-2) - 4/b a composite number? False Let p(l) = -l**3 + 4*l**2 - 2. Let x be p(4). Let i be ((-1)/x)/(2/88). Suppose 2*a + g = 44, 0 = -a + 2*a + 5*g - i. Is a a prime number? False Let u = -4 - -8. Let l(k) = 2*k**2 + 2*k - 5. Let c be l(u). Suppose -y = -5*x + 4 - c, -3*y = 4*x - 74. Is y a prime number? False Suppose -10 + 35 = 5*o. Suppose 2*k = -22 + 160. Suppose 41 + k = o*a. Is a prime? False Let z be 10/3*(-12)/(-10). Let w = 26 - 15. Suppose j = z + w. Is j a prime number? False Let y = -109 + 183. Suppose 450 + y = 4*f. Is f prime? True Let o = 2291 - 1230. Is o a prime number? True Let s = -22 + 20. Is s + (-1492)/(-8)*6 a prime number? True Let s be 2/(-4)*(1 + -195). Suppose -t = 3*w - 174, 3*w + 0*w - 174 = t. Let h = s + w. Is h prime? False Let j(t) = -26*t + 75. Is j(-23) composite? False Suppose -2*l = -l + 5*p - 532, 2*p = -3*l + 1635. Is l prime? True Let k(l) = 94*l**2 + l. Is k(1) a composite number? True Suppose 0 - 10 = -5*v. Suppose v*k = -3*k + 655. Is k prime? True Suppose 22 = 2*w - w. Suppose -2*g - w = -4*g. Is g composite? False Let s = -14 + 40. Let r = -1 + s. Is r prime? False Let y(x) = 21*x**2 - 4*x + 12. Is y(5) prime? False Let h = 11 - 14. Is ((-4)/8)/(h/126) a composite number? True Suppose -2*y = -y - 355. Is y a prime number? False Let o be 14 - (2 + -4 + 2). Let l be 80/o - (-4)/14. Suppose -l*d + 3*d = -237. Is d a composite number? False Let r = 39 + 0. Suppose w - 128 = -4*f, 0 = f + 4*w - 2*w - r. Is f a composite number? False Let o = 9 + -9. Let j = -37 - -60. Suppose 5*y + 8 - j = o. Is y a composite number? False Let c = -132 - -12. Let y = c - -303. Is y prime? False Suppose 3*p + 18 = -3*o + 57, 23 = 2*o + p. Suppose -z + o = -1. Is z prime? True Let t = 23 - 11. Suppose i + 5*r + 13 = 0, -4*i + t + 28 = -3*r. Is i prime? True Suppose -d + 7 = -25. Suppose -3*f = -d - 46. Is f a prime number? False Let r(v) = 45*v**2 - 3*v - 11. Is r(-3) composite? True Let f(q) = -294*q**3 - 3*q**2 - 3*q - 1. Is f(-1) a prime number? True Let i be (-2 - 0) + 18 + 3. Let l = 90 + i. Is l composite? False Let h = -221 - -528. Is h prime? True Suppose -2*b = 2*x - 530, 2*x = 2*b + x - 530. Let h = -156 + b. Is h prime? True Let l = 128 - 41. Is l a prime number? False Let n(z) = 107*z - 6. Let f(d) = -54*d + 3. Let w(x) = 13*f(x) + 6*n(x). Is w(-2) a composite number? True Let j = -21 + 32. Is j a composite number? False Let g be -2*(0 - (-6)/(-3)). Suppose 570 + 362 = g*x. Is x a prime number? True Suppose 5*k = p - 2, -2*p + k + 62 = p. Is p a composite number? True Let x(c) = c**3 - c**2 + c + 2. Let i be x(0). Is (i + -1)/(2/218) prime? True Let f be (-6)/18 + (-2)/(-6). Suppose m + f*m - 55 = 0. Is m a prime number? False Let q = -38 + 93. Is q a composite number? True Let q(m) = m**3 - 4*m**2 - 11*m - 5. Is q(8) prime? True Let s(w) = 2*w**2 - 9*w + 6. Suppose 1 = 3*l + 10. Let i(x) = -x + 1. Let k(f) = l*i(f) + s(f). Is k(4) a prime number? True Suppose 2*o = 5*r - 4, -3*o + 27 + 17 = 5*r. Let t(m) = -m**2 + 10*m + 5. Is t(o) a prime number? False Let r(s) = -3 + s + 0*s + s + 5*s**2. Is r(2) a prime number? False Let b be ((-219)/6)/(2/(-4)). Suppose 0 = 2*m - b + 21. Is m prime? False Let s = 36 - 22. Is s prime? False Let u(c) = -c**2 + 91. Let a be u(0). Let o = a - 133. Let j = 133 + o. Is j a composite number? True Suppose -3*b + 2862 = y, -2*y - 2874 = -3*b + y. Is b a prime number? False Is 2 - (-2430)/6 - (-4)/(-1) a prime number? False Let f(k) = -4*k + 1 + 5*k + 8 + 0*k. Let j be f(-5). Is (92/(-6))/(j/(-42)) a prime number? False Let r be 2 - -12 - (-1 - -1). Let j(q) = -q**2 - 9*q - 13. Let a be j(-6). Let m = a + r. Is m composite? False Let p(c) = c**3 - 9*c**2 - 2*c + 3. Let i(g) = g**3 + 5*g**2 - g + 6. Let a be i(-5). Is p(a) a prime number? True Let s(n) = 0 + 2*n + 2*n**3 + n**2 - n - 9*n**2 - 5. Let r = 16 + -10. Is s(r) a prime number? False Let h(n) = -78*n**3 - n**2 - 2*n - 4. Is h(-3) a prime number? True Let t(f) = f**2 - 3*f - 6. Let l be t(5). Is l/(-6) + (-113)/(-3) prime? True Let x be 1 + -1 + (-446)/(-2). Suppose u - 236 = 3*q, -4*u - x + 614 = -5*q. Is (q/(-2))/(1/2) composite? False Let b = -6 + 6. Suppose -w - 5*c + 76 = w, -5*c - 10 = b. Is w composite? False Suppose 4*g - 351 = 237. Suppose 23 = -4*k + g. Let z = k + -17. Is z a composite number? True Suppose 0*s - 6 = -s - 3*p, 0 = -4*s + 2*p + 10. Suppose 3 = -2*d - s. Let h = 16 + d. Is h prime? True Suppose 9 = j - 3*u, 4*j + 0*u + 4*u + 12 = 0. Suppose -a + j*w = 4*w + 6, -a - 5 = 3*w. Is (10 + -8)*(-55)/a a composite number? True Let u(d) = -d + 10. Let c be u(6). Suppose c*g - 1171 + 135 = 0. Is g a composite number? True Let o(v) = 2*v + 2. Let l be o(1). Suppose -3*q = -l*t + t + 105, -113 = -3*t - q. Is t a prime number? True Let g be 3/((-3)/(-25)) + 2. Let d = -6 + g. Is d a prime number? False Let w be (-6)/(-9) - 39/(-9). Suppose -3*q + 34 = -w*o, -4*q = -q - o - 14. Is q prime? True Let y be -3*((-78)/(-9))/(-2). Let n = 2 + y. Is n a prime number? False Let c = 6 + 6. Suppose -5*d + 4*b + 323 = -2*d, 3*b - c = 0. Is d prime? True Let i(s) = 12*s**3 - 3*s**2 - 5*s + 1. Let b be (6/(-5))/(6/(-20)). Let v be i(b). Suppose 3*y - v = -146. Is y a prime number? False Let i(t) = 67*t**2 - t - 4. Let g be i(-2). Suppose 5*k = 4*k + 4*x + 143, 2*k - 4*x = g. Is k composite? True Let n(j) = j**3 - 9*j**2 + 9*j - 10. Let i be n(8). Let l(f) = -71*f - 1. Is l(i) a prime number? False Let y(c) = 1 + 26*c - c**3 - 13*c + 0*c**2 - 3*c**2. Is y(-10) a composite number? False Suppose -5*j = 4*r - 22, 5*j - 2*r = -0*j + 4. Is j a compos
{ "pile_set_name": "DM Mathematics" }
e nearest one thousand? 20586000 What is -0.0000008213048835 rounded to seven dps? -0.0000008 What is 8.76758143 rounded to 2 decimal places? 8.77 What is -0.0006416984455 rounded to 5 decimal places? -0.00064 What is 0.03208049144 rounded to six dps? 0.03208 What is -14261.373 rounded to the nearest 100000? 0 What is -0.6723617274 rounded to one dp? -0.7 What is 43394335.52 rounded to the nearest 10000? 43390000 What is 0.000018967148366 rounded to seven decimal places? 0.000019 Round 0.0016237463149 to five decimal places. 0.00162 Round 490324810 to the nearest 100000. 490300000 What is -0.00004551382 rounded to 6 decimal places? -0.000046 Round 165.0906996 to 1 dp. 165.1 Round 0.00106825083 to 5 decimal places. 0.00107 Round -11992.8163 to the nearest ten. -11990 What is -75.35387 rounded to the nearest ten? -80 What is -23129.48918 rounded to the nearest 1000? -23000 Round -0.0000066320041 to seven decimal places. -0.0000066 Round 4432.51508 to the nearest 100. 4400 What is -4692391.14 rounded to the nearest one hundred thousand? -4700000 Round 1.13236582 to three decimal places. 1.132 What is 168643.626 rounded to the nearest 10? 168640 What is -101.269283 rounded to 0 dps? -101 Round -936428.2 to the nearest ten thousand. -940000 Round -2679084450 to the nearest one million. -2679000000 What is 2006200.5 rounded to the nearest one hundred thousand? 2000000 Round -12937.1915 to the nearest ten. -12940 Round 212397789 to the nearest 10000. 212400000 What is -2627.8647 rounded to the nearest ten? -2630 What is 17900.674 rounded to the nearest one hundred? 17900 What is -2817316.367 rounded to the nearest one million? -3000000 Round -1.26617525 to 2 decimal places. -1.27 Round 0.0000226589679 to seven dps. 0.0000227 Round -341560.108 to the nearest 100. -341600 What is 2320.30638 rounded to the nearest 100? 2300 Round -26.83276036 to one decimal place. -26.8 Round -11.70855785 to three dps. -11.709 Round 90.063598 to 1 dp. 90.1 Round -158656.4177 to the nearest one thousand. -159000 Round 1876730.438 to the nearest one hundred thousand. 1900000 What is 0.008492622625 rounded to 7 decimal places? 0.0084926 What is -1156077606 rounded to the nearest 10000? -1156080000 What is -6859.41018 rounded to the nearest one hundred? -6900 Round -29.994214 to 1 decimal place. -30 What is -0.134845126 rounded to three dps? -0.135 What is 17886264.74 rounded to the nearest 10000? 17890000 What is 1.12892505 rounded to 4 dps? 1.1289 Round 5047363.86 to the nearest 1000. 5047000 What is 10676988900 rounded to the nearest one million? 10677000000 What is 2971.49867 rounded to one dp? 2971.5 Round -0.0380704128 to 3 decimal places. -0.038 What is 6045236.015 rounded to the nearest 1000000? 6000000 Round 5042453.15 to the nearest 100. 5042500 Round -0.003098835147 to 6 dps. -0.003099 What is 279841458 rounded to the nearest ten thousand? 279840000 What is 0.3400973947 rounded to 5 dps? 0.3401 Round -0.0118893676 to 6 dps. -0.011889 Round -452.93313 to the nearest 10. -450 What is 786615992 rounded to the nearest 100000? 786600000 What is 841900.37 rounded to the nearest 100? 841900 Round -1425066.4 to the nearest 1000000. -1000000 Round -0.344477926 to 2 decimal places. -0.34 Round 0.00755759696 to five decimal places. 0.00756 Round 3227.76684 to the nearest integer. 3228 What is -99492379 rounded to the nearest 1000000? -99000000 Round 6707.7267 to the nearest one thousand. 7000 Round -5.3727814 to one decimal place. -5.4 What is 0.000003841250827 rounded to seven dps? 0.0000038 What is -10447270.42 rounded to the nearest one million? -10000000 Round -0.112584898 to 3 dps. -0.113 Round 0.1656115826 to three dps. 0.166 Round -3253.07027 to one dp. -3253.1 What is -7213.546099 rounded to the nearest integer? -7214 Round 0.00105979368 to 5 decimal places. 0.00106 Round -2299.4075549 to the nearest 100. -2300 Round -0.000635842263 to 5 dps. -0.00064 Round 179028534.1 to the nearest 1000000. 179000000 Round 59887.926 to the nearest one hundred. 59900 What is -83425.397 rounded to the nearest ten? -83430 What is 0.109607187 rounded to five decimal places? 0.10961 What is -35030.83226 rounded to the nearest integer? -35031 Round -0.00819231906 to five dps. -0.00819 What is 1336541324 rounded to the nearest 100000? 1336500000 Round -176198686.6 to the nearest 100000. -176200000 Round -79.4890385 to the nearest ten. -80 Round -0.1711769175 to four dps. -0.1712 What is -0.000204882645 rounded to seven dps? -0.0002049 Round -0.0000065452907 to 6 dps. -0.000007 Round 7.571171396 to 2 dps. 7.57 Round -9637195400 to the nearest 1000000. -9637000000 Round -0.000145848773 to six dps. -0.000146 Round 894.48653 to the nearest integer. 894 Round -0.3217741798 to 3 dps. -0.322 Round -0.1525781079 to 4 decimal places. -0.1526 What is -0.01472430419 rounded to six decimal places? -0.014724 Round -0.0000342945782 to seven decimal places. -0.0000343 What is 5495.670532 rounded to the nearest integer? 5496 Round -158577507 to the nearest 1000000. -159000000 What is 246.98929 rounded to 1 decimal place? 247 Round -8.5181168 to three decimal places. -8.518 Round -0.0000001226244 to 7 dps. -0.0000001 What is -0.00064765473 rounded to 6 decimal places? -0.000648 Round -0.00002459028093 to seven decimal places. -0.0000246 Round 2842680400 to the nearest one million. 2843000000 What is 376672.181 rounded to the nearest 1000? 377000 What is -444.318228 rounded to two dps? -444.32 Round 1876795472 to the nearest 100000. 1876800000 Round 38.2975441 to three dps. 38.298 Round 0.00145692724 to five dps. 0.00146 What is 1511937.73 rounded to the nearest 100? 1511900 What is 28561.963 rounded to the nearest ten? 28560 Round 160.216781 to 1 decimal place. 160.2 Round 491.124678 to one decimal place. 491.1 What is -0.0939573877 rounded to 2 dps? -0.09 Round -0.000007545976 to 7 decimal places. -0.0000075 What is 937412660 rounded to the nearest one hundred thousand? 937400000 What is -37783.576 rounded to the nearest 10000? -40000 Round 0.0017356583 to six dps. 0.001736 Round 0.084669871 to 4 dps. 0.0847 What is 411.296713 rounded to the nearest integer? 411 What is 2741.5938 rounded to the nearest 10? 2740 Round -524.5460114 to the nearest 100. -500 What is -438.706682 rounded to 0 dps? -439 Round -0.000002533324 to seven decimal places. -0.0000025 Round 11.5863198 to zero decimal places. 12 What is 67.37594568 rounded to 3 dps? 67.376 Round -0.2022066 to three dps. -0.202 Round -0.000095690242 to 4 dps. -0.0001 What is -7045.004396 rounded to 0 dps? -7045 What is 528.6440158 rounded to 1 dp? 528.6 What is 0.53530008 rounded to four dps? 0.5353 What is 1078.5148189 rounded to the nearest 100? 1100 Round 755594.9867 to the nearest ten thousand. 760000 Round -9521301.172 to the nearest ten thousand. -9520000 What is 32464.223 rounded to the nearest 100? 32500 What is 127211.0149 rounded to the nearest 100? 127200 Round -0.0001117475653 to seven dps. -0.0001117 What is 0.0432352253 rounded to 6 dps? 0.043235 What is 0.00014221568027 rounded to seven dps? 0.0001422 Round -0.00332620714 to five decimal places. -0.00333 What is 17406986.1 rounded to the nearest one hundred thousand? 17400000 What is -0.5256316905 rounded to 5 decimal places? -0.52563 Round -2.43847077 to one dp. -2.4 Round -41149.7075 to the nearest 100. -41100 Round -1433.26295 to the nearest ten. -1430 Round -0.0268183006 to 2 decimal places. -0.03 What is -44724.2652 rounded to the nearest 10? -44720 Round 10679.603 to the nearest 100. 10700 Round -2409.0696 to the nearest ten. -2410 What is 0.0000110530228 rounded to 5 dps? 0.00001 What is 8575.189357 rounded to zero dps? 8575 Round -1.345700403 to one dp. -1.3 What is -0.01610747724 rounded to four decimal places? -0.0161 What is -9.715724528 rounded to 2 decimal places? -9.72 What is 0.060691166 rounded to 3 dps? 0.061 What is -0.0985070595 rounded to 6 decimal places? -0.098507 Round -3659.4535 to the nearest integer. -3659 What is 8.79545195 rounded to three dps? 8.795 Round -0.3395341782 to 3 decimal places. -0.34 Round 424.830206 to zero decimal places. 425 Round 131711097 to the nearest ten thousand. 131710000 What is -0.0011237603 rounded to three dps? -0.001 Round -1.09
{ "pile_set_name": "DM Mathematics" }
the closest to h in -0.1, 1/4, 1? 1 Let y = 1.857 + 0.143. Let u = 0.9 - 1.9. Which is the nearest to -1/5? (a) y (b) u (c) 3/8 c Let s be -2 - ((-50)/(-15) - 4)*120/32. Which is the closest to s? (a) -0.01 (b) -10 (c) -5/11 a Let f = -0.0213 + 223.0213. Let v = f + -225. What is the nearest to 1 in -8, -0.1, -0.3, v? -0.1 Let o = -0.77 + -0.13. Let k = -20883 - -20883.4. What is the nearest to o in k, 0, -5? 0 Suppose 48*d - 46*d + 52 = 0. Let z be (-6)/39 + ((-17)/d)/1. What is the nearest to z in 1/3, -3/5, 4? 1/3 Let n be ((-528)/(-15))/2*(-99)/18. Let y = n - -97. What is the closest to 0 in -0.3, -1/2, y, 2? y Let o be 4/6*(-6)/(-31). Let t = 19/93 + o. Let x = 12 + -37/3. What is the nearest to x in t, 1, 5? t Let n = -608.3 + 605.3. Which is the nearest to n? (a) -0.3 (b) -1/24 (c) 1/3 (d) 4 a Let n(l) = -l**2 - 4*l + 6. Let u be n(-4). Let o be ((-2)/4)/(u/24). Let j be o/(-8) + 27/(-60). Which is the nearest to -1? (a) j (b) -5/2 (c) -2/5 c Let q = 5.63 + -9.63. Let j = -50 + 51. What is the closest to j in -2/3, q, 0.01? 0.01 Let z be 32/40 - 6/10. Let p(m) = m**3 - 17*m**2 - 143*m + 116. Let v be p(23). What is the closest to 1 in v, z, -0.1, 25? v Let t = 1.5122 - 0.9122. Which is the nearest to 7? (a) t (b) -0.16 (c) 0.5 a Let y = 82146 - 82145. Let w = 217/530 - 1/106. Which is the closest to y? (a) 1/4 (b) -0.5 (c) w c Let l be -6 + 2 - ((-3933)/108 + 32). Let g = 4 - 7/2. Which is the closest to g? (a) 2/17 (b) l (c) 2 b Suppose -3*z = -w + 2, -w - 10*z + 26 = -2. Let g = -40 - -17. Let j = g + 22. Which is the closest to 1? (a) j (b) 4/5 (c) w b Let x = -3/4471 + -4339/196724. Let m = 0.4 + -0.3. What is the closest to 1 in x, -2/11, m, -1? m Let w = -0.7 + -6.3. Let m = 136 - 140. Let k = -14 - -12. What is the nearest to w in 2/17, m, k? m Let j = 0.01 - -7.99. Let h = -873/7 + 125. Let y = -159 - -162. What is the closest to -1 in h, y, j? h Let r = 2372 - 2371.5. Which is the nearest to 1? (a) 1.7 (b) -9 (c) r c Let j(m) = m**2 + 6*m + 9. Let y be j(-4). Let n be y - 8/(-3 + -1). Let o = -670 + 670. What is the closest to -16 in o, -2, n? -2 Let h = 0.7 - -1.3. Let z = 205.5 + -206. Which is the nearest to 1? (a) -2 (b) z (c) h c Let a = -75 - -76. Let n be 133/63 + 1/(-9). What is the nearest to -3 in a, n, 3? a Let j = -6041 + 6036. What is the nearest to 2/43 in 7, 4, j, -0.3? -0.3 Let x be 3/(-3 + -1 - -3). Let z = 7 + -30. Let q = 23 + z. Which is the closest to 1? (a) q (b) 0.3 (c) x b Let g be (-9)/(-5) + 924/(-660). Let w be 3/((-7)/((-21)/6)). What is the nearest to -1 in w, g, 12? g Let i(z) = -z**2 + 20*z + 25. Let f be i(21). Let j be f + (-8 - (-3)/1). Let n be 1 - 5/3 - (-6)/(-45). Which is the closest to j? (a) 2 (b) n (c) -4/3 b Let u = 15.86 - 15.96. Let p = -0.1 + 0.6. Let k = -176 + 177. Which is the nearest to u? (a) p (b) k (c) 3 a Let g = -43.9 + 45.9. What is the closest to -1/43 in -5, 4, g, -4? g Let v be 1*(-916)/112 + 8. Let o = -1/12 - v. Which is the closest to -1? (a) 4 (b) 27 (c) o c Let x = 667 - 664. What is the nearest to 2/11 in -0.2, x, 0.3? 0.3 Let b = -168.724 + 169. Let w = b + -0.076. What is the closest to w in 3/26, 5, 3? 3/26 Let g = 0.33 - -12.67. Let y = g + -13. Let l = -1.72 + 1.72. What is the closest to l in 1, y, -0.2? y Let i = -19/92 + -1/23. Let r = -1.9 - -3.6. Let s = 3.3 + r. What is the nearest to i in s, 0.1, -3? 0.1 Let c(z) = 5*z**3 + 26*z**2 + 10*z + 25. Let b be c(-5). What is the nearest to -7/33 in b, -0.1, -0.4? -0.1 Let g be ((-81)/252)/((-24)/(-28) - 0). What is the closest to -2 in g, -3, -0.4, 17? -3 Let g = -301.66 - -299. Let q = g + -1.34. Let c(y) = 2*y + 1. Let r be c(-1). What is the closest to 1 in q, r, -3? r Let d = -2/125 + -119/375. Let l be (2/18*3)/((-8)/6). Let q = 0.52 - 0.22. Which is the closest to l? (a) -2 (b) d (c) q b Let w = -0.4 - -0.2. Let i be (-1)/(-3) - (8/(-3) + 2). Let o = i + -8. Which is the closest to 1? (a) -3 (b) o (c) w c Let n = -12 + 11.6. Let k = -565/1118 + 3/559. Which is the nearest to k? (a) n (b) 3 (c) -3 a Let l = 7245 + -7252. What is the nearest to 7 in 1/2, -1.8, l? 1/2 Let j = 1562348/9 - 173594. Let w = 2 + -2.2. What is the closest to j in 2/11, w, 2? 2/11 Let l(v) = v**3 - 2*v**2 + 81*v - 353. Let t be l(4). Which is the closest to 0.4? (a) t (b) -50 (c) -0.5 c Let k be ((-7)/196*-4)/(3/3). Which is the nearest to -1/48? (a) k (b) -0.3 (c) -0.5 (d) 0 d Let h = -409.39 - 1.61. Let l = h + 411. What is the closest to -1 in 7, -1/2, 4, l? -1/2 Let s = -12956 - -12968. Which is the nearest to -1/4? (a) 1/7 (b) s (c) 1 a Let u = -249 + 217. What is the closest to 2 in -3, u, 2/17? 2/17 Let d(w) = w + 31. Let x(c) = -14*c - 497. Let l(i) = -49*d(i) - 3*x(i). Let v be l(-4). What is the closest to -1/4 in -1, v, -1/9? -1/9 Let o = 15 + -8. Let g be -1 + 2/(10/o). Let d = -1579 - -3155/2. Which is the closest to -1? (a) g (b) -3/4 (c) d b Let v = 1/60 - 13/60. Let w = 172 + -174. Let i be -12 - -5 - 153/(-21). What is the closest to i in v, w, 2? v Let k = 0.181 + 0.519. Let t = -9.5 + 9.4. What is the closest to 1 in t, k, 0.04? k Let o be 4/(-4)*6/(-14). Suppose 0*p + 3 = -p. Let t be (3/(-9)*-1)/(3/p). What is the nearest to o in -0.2, t, 0? 0 Let m = -0.1 - 0.3. Let y = -0.073642 - -3.073642. What is the closest to -54 in m, y, -1/8, -1/7? m Let l be (-3)/2*8/3. Let r be (0 - l)*6/(-2). Let o be ((-33)/110)/(r/(-10)). Which is the nearest to -5/6? (a) o (b) 0.2 (c) -0.5 c Suppose 2*t + q + 23 = 0, -16*t + 5*q - 25 = -12*t. Which is the closest to t? (a) 3/2 (b) -4 (c) 3 b Let f = -0.1 + 0. Let p = -5.724 + -0.276. Let j = -95/3 + 481/15. Which is the nearest to j? (a) -2 (b) f (c) p b Let r(y) = y**2 + 30*y + 221. Let x be r(-15). Let s = -107 + 107. Which is the closest to x? (a) -1/3 (b) s (c) -2 c Suppose 0 = -y - 0*y + 40. Let u be (-6)/y - 1/4. Let b = -2.105 + 2.605. What is the nearest to 2/7 in -0.2, u, b? b Let j = -7.506 - -10.506. What is the closest to 2.1 in -4, 2, j, 0? 2 Let t = -4 - -3. Suppose k = h + 2, -67*h + 72*h + 10*k - 50 = 0. Which is the closest to h? (a) 0 (b) t (c) 2/19 c Let j = 72 + -217/3. Let i = -8.22 + 10.22. What is the nearest to i in 0.2, j, -0.1? 0.2 Let o = 25 - 25. Let v = 2 + o. What is the closest to 0 in v, 0.07, 0? 0 Suppose -q + 7 = 4. Let p = -256 - -250. Let f = p + -9. Which is the closest to f? (a) q (b) 2 (c) 1/2 c Let o = -2/25645 + -51284/76935. What is the closest to o in 1/2, 0.2, -3/7, -0.5? -0.5 Let k = -1.285 - -1.19. Let d = 0.195 + k. Which is the nearest to d? (a) 1 (b) 5 (c) 2/3 c Let i = 91 + -31. Let q = -7 + i. Let d = -263/5 + q. Which is the closest to d? (a) -3 (b) -2/11 (c) -1/6 c Let w = -15489 + 15491. Which is the closest to w? (a) -2/3 (b) -3 (c) 0.461 (d) 0 c Let d = 4 - 4. Suppose 907 = -9*r + 4021. Let w = r - 5188/15. Which is the closest to 1? (a) w (b) d (c) -0.3 a Let n = 27928 - 27928. What is the closest to 8 in 4, n, 1/4? 4 Let o(v) = -v**3 - 15*v**2 - 2*v + 132. Let z be o(-14). Let t = z + 31. Which is the closest to -1? (a) -2/11 (b) -3/5 (c) t (d) -0.4 b Let y = -317 - -317.5. Which is the nearest to 3? (a) y (b) -2/15 (c) -2/9 (d) 3 d Let r = -132169/1950363 - 1/33057. What is the nearest to 1 in -19, 5, r? r Suppose 3*s - 1652 = -w, 3*s + 4*w - 1592 = 66. Let p = 1099/2 - s. Which is the closest to p? (a) -21 (b) 2/5 (c) -1 c Suppose -5*t = 3*q - 2*q + 45, 5*t + 85 = -3*q. Let s be (-65)/78*3/q. Which is the closest to 1? (a) s (b) -25 (c) -3/5 (d) 2/7 d Let z = -2144 - -2140. What is the closest to 0.39 in 0.3, 5, z, 3? 0.3 Let s(p) = -3*p + 4. Let n be s(3). Let g = 134234 + -939634/7. Let f be (2/52)/((-1)/4). Which is the nearest to 0? (a) f (b) n (c) g a Let w = -179.8 + 14.8. Let c = w - -165.5. Let p be (357/(-20))/17 + 1/4. What is the nearest to p in c, -3, 3? c Let n = -7703 - -7702.7. What is the closest to 0 in -1/2, 14, n? n Suppose 0 = 6*n - 111 + 9. Suppose 128*w - 122*w = 260*w + 1016. Which is the closest to 0? (a) 1 (b) w (c) 2/7 (d) n c Let b = 16.99 - 18.99. Suppose 0 = -2*t + 21 - 11. What is the closest to 1 in t, -0.049, b, 0.2? 0.2 Let g = 710 - 710. Let m = 15 - 14. Which is t
{ "pile_set_name": "DM Mathematics" }
d 327751863 non-equal? False Is 149558743 equal to -1? False Which is greater: -656093 or 45? 45 Is -0.03 equal to 217675/21? False Is -129181862 at most as big as -129181859? True Is 0.18 smaller than 540224? True Which is smaller: 43858 or 43903? 43858 Which is greater: 1 or -2/366743655? 1 Is -6392904/103 at most as big as -62068? False Is 0 at most as big as 141/28085? True Which is greater: 132/21319 or 17? 17 Which is smaller: 10086 or 11001? 10086 Which is smaller: -6/13 or -6701737? -6701737 Which is greater: 12 or -15714770? 12 Is -766 greater than 6291? False Is 95.5319 greater than or equal to 152? False Which is smaller: -22554766 or -22554767? -22554767 Is 36/118667 at least 0? True Which is smaller: -21088753 or -21088767? -21088767 Which is greater: 199786/15 or 13318? 199786/15 Is -17/9426 smaller than -9/35? False Is 530810584/5 greater than or equal to 106162117? False Are -0.04446 and -11.089 nonequal? True Do -16084 and -15857 have the same value? False Is 1690 != 162.32? True Which is greater: -7 or -2/29106593? -2/29106593 Which is smaller: -191/46 or -23103? -23103 Which is greater: 8510250 or 8510252? 8510252 Are 1 and -1/15670615 equal? False Which is greater: 128/173297 or -1? 128/173297 Which is smaller: -4591564.4 or 1? -4591564.4 Is 26875 at most as big as 27836? True Which is smaller: 11139100 or 11139214? 11139100 Which is bigger: -182042 or -179124? -179124 Which is bigger: -21/374135 or -1? -21/374135 Is -188.5 less than -60911? False Is -102905868 >= -102905866? False Is -1960701 smaller than -1960712? False Which is smaller: 4472044 or 4472030? 4472030 Is -33.761 at least as big as 3091? False Which is smaller: 836/7 or 6101/2? 836/7 Is 534834 >= 2674176/5? False Which is smaller: -371 or -678827/1829? -678827/1829 Does -142 = -35572/253? False Which is smaller: 4592831 or 4592816? 4592816 Which is smaller: -2187 or 125686? -2187 Do 28.21 and -1884 have different values? True Is -1 greater than 2/434181373? False Is 8911 less than -97? False Is -3007265 at least as big as -3007262? False Is -27620 at least as big as 315? False Which is smaller: -92033 or -1104? -92033 Is 48/1498211 at most as big as -1? False Are -2208083 and -2208081 equal? False Which is smaller: -1/310471 or -426? -426 Do -192/761177 and 0 have the same value? False Is 4630223 at most 18520895/4? True Is 33 less than 25606/789? False Is -63 >= -4617/74? False Is 152106700.8 equal to 2? False Is -2123980/557 > -3812? False Does -2606668 = 0.57? False Are -1352867 and -1353076 equal? False Which is bigger: -2/91801 or 255? 255 Is -1 less than or equal to 4/439456351? True Which is bigger: 75 or 16243/213? 16243/213 Does -3725184 = -3725181? False Is 3411142 <= -1? False Is 3333873 at least -10? True Which is bigger: -19818866 or -19818864? -19818864 Does -161689 = -161560? False Which is smaller: -54570 or -43262? -54570 Is 52423583 at most as big as 52423583? True Which is bigger: -0.020463 or 28? 28 Which is smaller: -972981 or -972978? -972981 Which is bigger: -174/193 or 9693? 9693 Which is greater: -33210529/37 or -897582? -33210529/37 Is 0.068 greater than or equal to -195825? True Is -28 at least -87519/3128? False Are -0.2 and -7862291 nonequal? True Which is bigger: 3577013 or 3577016? 3577016 Which is smaller: 0 or -1/21283454? -1/21283454 Is 5 less than 2323056? True Which is greater: -283301 or -283356? -283301 Are 24223350 and 24223346 unequal? True Is 80076717 > 80076717? False Is -460885305/8 less than -57610663? True Which is bigger: -3 or -7203/9214? -7203/9214 Is 18/492361 at least as big as 0? True Are -28521397 and -28521391 equal? False Which is bigger: 7.93 or -4.096? 7.93 Which is greater: -36656578 or -36656579? -36656578 Is 823 at most 765043/930? False Is 141.2342 at least as big as -1/10? True Which is smaller: -446671 or 478? -446671 Which is bigger: -3277021 or -3277020? -3277020 Which is greater: -2450250 or -2450244? -2450244 Which is bigger: -29669 or -26293? -26293 Which is smaller: 36/1826561 or 0? 0 Is 317096 >= 317141? False Is 43/864393 smaller than 1? True Which is greater: -67192/519 or -130? -67192/519 Which is bigger: -7041747 or -7041746? -7041746 Is 7070445 at most as big as 7070443? False Which is smaller: -1763495 or -1763501? -1763501 Which is greater: 521 or 194871/373? 194871/373 Are -13861766 and -13861766 unequal? False Is 1 not equal to 1793/5278? True Is 309219 at least as big as 309244? False Are 0.237 and -13052 nonequal? True Which is smaller: -22041/4 or -80? -22041/4 Which is bigger: -9688 or -9189? -9189 Which is smaller: 53650/263 or 205? 53650/263 Which is smaller: 1227 or -5527? -5527 Which is smaller: -292 or 15804? -292 Is 32220 > 1095457/34? True Which is greater: 2 or 1/205015914? 2 Is 1 not equal to -362/1523? True Which is greater: 602859/2309 or 261? 602859/2309 Which is greater: -325624 or -325627? -325624 Is 116782/423 less than or equal to 276? False Is 36 at most 48848/1373? False Which is bigger: -1/4061801 or -1? -1/4061801 Is 8513.7 bigger than 190.8? True Is -673136580 not equal to 0.2? True Is -11766 < -12991? False Which is smaller: -1 or 19/637994? -1 Is 20297 smaller than 33331? True Is 100630804 less than 100630799? False Which is smaller: 800079992/5 or 160015997? 160015997 Is -32809956 at most -32809953? True Is -82 at most as big as -3859678? False Do -1 and 24/1116611 have different values? True Is 1393 at most 292561/210? True Which is greater: 3/6844664 or -1? 3/6844664 Which is greater: -26850 or -1691560/63? -26850 Which is greater: -32229 or 1781? 1781 Which is smaller: -23235/44 or 0.03? -23235/44 Which is smaller: 476 or 379274/799? 379274/799 Is 10126344 greater than 10126342? True Which is greater: -3169/6 or 1.3? 1.3 Is 8/7 > -3895/674? True Is 3827744 smaller than -15.8? False Do -381 and -657537/1721 have different values? True Is 168632623 less than or equal to 168632617? False Which is smaller: -168000 or -167980? -168000 Which is smaller: 6218492 or -1/3? -1/3 Which is smaller: 25177931 or 25177930? 25177930 Is -5120833 less than or equal to -15362501/3? False Which is bigger: 6548241/86 or 76141? 6548241/86 Is -0.670133 at least as big as 10? False Which is smaller: 1330923 or 25287525/19? 25287525/19 Which is smaller: -1142220 or -1142229? -1142229 Does -1812/222241 = 0? False Which is bigger: 314480838 or 314480837? 314480838 Is 60942 at least 2408? True Which is smaller: 4.2 or 549756/25? 4.2 Which is smaller: -700013 or -699960? -700013 Which is bigger: 77786 or 2878092/37? 2878092/37 Which is bigger: 1 or -37/457857? 1 Which is greater: 318754 or 19? 318754 Is -1 at most as big as 134/1251? True Is -219045534 less than -219045534? False Are -1593026 and -1593027 unequal? True Which is smaller: -17.53633 or -8? -17.53633 Which is bigger: 1 or 142/130625? 1 Are -1 and 1186/5925 nonequal? True Are -240190807 and -1 unequal? True Is -2 at least as big as 416616/13? False Is 228361 at least 221725? True Is -923848389 less than or equal to -923848389? True Do 144 and -18312 have the same value? False Are 15088/15267 and 1 non-equal? True Is -23282/49603 >= -1? True Which is greater: 2995 or -22230? 2995 Is 0 less than -2291/108198? False Which is bigger: -10604457 or -10604455? -10604455 Which is smaller: 10179 or -66468? -66468 Is -56 at most as big as -205625/3604? False Which is greater: 206717547 or 206717545? 206717547 Which is smaller: 1 or 149/4777958? 149/4777958 Is 6522 at least as big as 163072/25? False Which is bigger: -19222892 or -19222895? -19222892 Is 46/17281727 not equal to 0? True Which is greater: -1063010 or -5315052/5? -1063010 Which is greater: -1030.066 or 0.5? 0.5 Which is smaller: -5536647 or -27683236/5? -27683236/5 Is 44677530 smaller than 44677530? False Which is bigger: -1832561 or 43? 43 Is -1 at least -20/24797? False Which is bigger: -181376 or -181422? -181376 Is -17151296/189 <= -90748? False Which is greater: 0 or -59799737? 0 Which is smaller: -2201 or -1951? -2201 Is -1 greater than -2165/195409? False Which is greater: 353835 or -31? 353835 Which is smaller: -413273 or -2/3? -413273 Are 2/67 and -335391/46 non-equal? True Do 32688337/140 and 233489 have the same value? False Is -29433151 not equal to
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 3414774. 2, 3, 11, 31, 1669 List the prime factors of 211252. 2, 52813 What are the prime factors of 677022? 2, 3, 53, 2129 List the prime factors of 8248428. 2, 3, 229123 List the prime factors of 4845022. 2, 7, 13, 3803 What are the prime factors of 4379422? 2, 71, 30841 What are the prime factors of 15356? 2, 11, 349 List the prime factors of 317140. 2, 5, 101, 157 List the prime factors of 432812. 2, 108203 What are the prime factors of 259807? 73, 3559 List the prime factors of 2300675. 5, 13, 7079 List the prime factors of 208200. 2, 3, 5, 347 List the prime factors of 808098. 2, 3, 134683 What are the prime factors of 979725? 3, 5, 13063 What are the prime factors of 254691? 3, 9433 List the prime factors of 261912. 2, 3, 7, 1559 List the prime factors of 3571940. 2, 5, 178597 List the prime factors of 199605. 3, 5, 7, 1901 What are the prime factors of 773791? 31, 109, 229 What are the prime factors of 167820? 2, 3, 5, 2797 List the prime factors of 1368574. 2, 684287 What are the prime factors of 17800488? 2, 3, 247229 List the prime factors of 404557. 404557 What are the prime factors of 2610696? 2, 3, 11, 29, 31 What are the prime factors of 65995? 5, 67, 197 What are the prime factors of 707137? 829, 853 What are the prime factors of 21927? 3, 7309 What are the prime factors of 57125? 5, 457 List the prime factors of 20720059. 17, 31, 39317 What are the prime factors of 327302? 2, 37, 4423 What are the prime factors of 2239306? 2, 1119653 What are the prime factors of 166394? 2, 271, 307 What are the prime factors of 576758? 2, 7, 13, 3169 What are the prime factors of 1913695? 5, 7, 73, 107 List the prime factors of 1045173. 3, 137, 2543 What are the prime factors of 1098886? 2, 549443 List the prime factors of 31940996. 2, 7985249 List the prime factors of 90174. 2, 3, 7, 19, 113 List the prime factors of 55465. 5, 11093 List the prime factors of 4788201. 3, 11, 373, 389 List the prime factors of 6927458. 2, 3463729 What are the prime factors of 3810441? 3, 1270147 What are the prime factors of 18536408? 2, 11, 37, 5693 List the prime factors of 762298. 2, 113, 3373 What are the prime factors of 20460476? 2, 41, 124759 List the prime factors of 6573944. 2, 13, 63211 List the prime factors of 4471142. 2, 13, 383, 449 What are the prime factors of 592951? 349, 1699 List the prime factors of 83741. 7, 1709 What are the prime factors of 330702? 2, 3, 55117 List the prime factors of 117540. 2, 3, 5, 653 List the prime factors of 217726. 2, 108863 List the prime factors of 617688. 2, 3, 23, 373 What are the prime factors of 2758189? 7, 67, 5881 List the prime factors of 7990144. 2, 62423 What are the prime factors of 388824? 2, 3, 17, 953 List the prime factors of 8633608. 2, 461, 2341 List the prime factors of 1218195. 3, 5, 11, 23, 107 What are the prime factors of 2108373? 3, 19, 47, 787 List the prime factors of 756826. 2, 7, 54059 What are the prime factors of 6079524? 2, 3, 11, 53, 79 What are the prime factors of 8466988? 2, 2116747 What are the prime factors of 25114799? 103, 109, 2237 What are the prime factors of 304064? 2, 4751 List the prime factors of 3888341. 3888341 What are the prime factors of 7174384? 2, 7, 9151 What are the prime factors of 5676448? 2, 179, 991 What are the prime factors of 1825485? 3, 5, 131, 929 List the prime factors of 142233. 3, 7, 13, 521 What are the prime factors of 3102485? 5, 719, 863 What are the prime factors of 1040613? 3, 7, 7079 List the prime factors of 990702. 2, 3, 23, 2393 List the prime factors of 1447597. 23, 62939 What are the prime factors of 309277? 309277 List the prime factors of 8096747. 37, 59, 3709 What are the prime factors of 2980877? 89, 33493 List the prime factors of 764833. 173, 4421 What are the prime factors of 1316646? 2, 3, 193, 379 List the prime factors of 2955422. 2, 1477711 What are the prime factors of 10403740? 2, 5, 643, 809 List the prime factors of 29252176. 2, 443, 4127 List the prime factors of 444254. 2, 222127 List the prime factors of 17838874. 2, 8919437 List the prime factors of 202274. 2, 19, 5323 What are the prime factors of 71474? 2, 13, 2749 List the prime factors of 29497459. 29497459 What are the prime factors of 24340358? 2, 7, 248371 List the prime factors of 98731. 98731 What are the prime factors of 518738? 2, 11, 17, 19, 73 What are the prime factors of 194270? 2, 5, 19427 List the prime factors of 492050. 2, 5, 13, 757 List the prime factors of 1846832. 2, 13, 683 List the prime factors of 3483244. 2, 870811 List the prime factors of 318901. 11, 53, 547 What are the prime factors of 265332? 2, 3, 22111 What are the prime factors of 1940507? 31, 62597 List the prime factors of 3062629. 19, 359, 449 What are the prime factors of 2264? 2, 283 What are the prime factors of 378993? 3, 19, 61, 109 List the prime factors of 611693. 611693 List the prime factors of 1428504. 2, 3, 7, 11, 773 What are the prime factors of 3455196? 2, 3, 287933 List the prime factors of 198932. 2, 41, 1213 List the prime factors of 475266. 2, 3, 11, 19, 379 What are the prime factors of 1760100? 2, 3, 5, 5867 List the prime factors of 15397. 89, 173 What are the prime factors of 250510? 2, 5, 13, 41, 47 List the prime factors of 7653157. 7653157 What are the prime factors of 747792? 2, 3, 577 What are the prime factors of 878818? 2, 439409 What are the prime factors of 7293070? 2, 5, 23, 37, 857 What are the prime factors of 737928? 2, 3, 37, 277 List the prime factors of 15002705. 5, 3000541 List the prime factors of 106350. 2, 3, 5, 709 What are the prime factors of 280794? 2, 3, 53, 883 List the prime factors of 46192. 2, 2887 What are the prime factors of 704090? 2, 5, 181, 389 List the prime factors of 4008120. 2, 3, 5, 127, 263 List the prime factors of 3364091. 41, 82051 List the prime factors of 31375. 5, 251 What are the prime factors of 13792492? 2, 7, 191, 2579 List the prime factors of 240852. 2, 3, 20071 What are the prime factors of 6026338? 2, 31, 37, 71 What are the prime factors of 184270? 2, 5, 18427 List the prime factors of 421471. 421471 What are the prime factors of 1804092? 2, 3, 149, 1009 List the prime factors of 1391182. 2, 13, 53507 List the prime factors of 2640908. 2, 660227 List the prime factors of 116540. 2, 5, 5827 List the prime factors of 1011400. 2, 5, 13, 389 List the prime factors of 85569. 3, 11, 2593 List the prime factors of 12611743. 197, 64019 List the prime factors of 9782951. 9782951 What are the prime factors of 1307910? 2, 3, 5, 43597 What are the prime factors of 10967984? 2, 37, 97, 191 List the prime factors of 580634. 2, 290317 What are the prime factors of 651153? 3, 23, 9437 List the prime factors of 40222. 2, 7, 13, 17 What are the prime factors of 393247? 393247 List the prime factors of 712360. 2, 5, 11, 1619 What are the prime factors of 11372128? 2, 355379 What are the prime factors of 156774? 2, 3, 17, 29, 53 What are the prime factors of 3339700? 2, 5, 7, 13, 367 What are the prime factors of 1380558? 2, 3, 43, 5351 What are the prime factors of 878692? 2, 23, 9551 What are the prime factors of 440758? 2, 31, 7109 List the prime factors of 202395. 3, 5, 103, 131 List the prime factors of 90410. 2, 5, 9041 List the prime factors of 7930420. 2, 5, 31, 12791 List the prime factors of 18657758. 2, 7, 67, 19891 What are the prime factors of 45167167? 45167167 What are the prime factors of 1072632? 2, 3, 11, 17, 239 What are the prime factors of 2054115? 3, 5, 7, 6521 What are the prime factors of 13387173? 3, 23, 194017 List the prime factors of 1989016. 2, 248627 What are the prime factors of 3967712? 2, 7, 17713 What are the prime factors of 768746? 2, 11, 83, 421 List the prime factors of 29729952. 2, 3, 7, 14747 What are the prime factors of 3850949? 3850949 List the prime factors of 1242896. 2, 77681 List the prime factors of 412079. 151, 2729 List the prime factors of 1097312. 2, 53, 647 List the prime factors of 20003361. 3, 7, 952541 What are the prime factors of 14430900? 2, 3, 5, 11, 4373 What are the prime factors of 4181810? 2, 5, 418181 List the prime factors of 3955228. 2, 31, 167, 191 What are the prime factors of 266879? 31, 8609 What are the prime factors of 4559
{ "pile_set_name": "DM Mathematics" }
w and 1 a? 1/3 Calculate prob of picking 1 v and 2 m when three letters picked without replacement from {g: 2, m: 11, b: 5, v: 1}. 55/969 Calculate prob of picking 2 o and 2 i when four letters picked without replacement from sowooooowoitowsoi. 9/595 Calculate prob of picking 2 t when two letters picked without replacement from {i: 4, l: 2, t: 4, v: 2, b: 6, g: 2}. 3/95 Four letters picked without replacement from frfzorzrooyoofrrrr. Give prob of picking 3 o and 1 f. 1/102 What is prob of picking 2 r when two letters picked without replacement from qqrrvv? 1/15 Calculate prob of picking 1 y and 2 t when three letters picked without replacement from yttt. 3/4 Calculate prob of picking 3 q when three letters picked without replacement from qvggvqqgqg. 1/30 Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {y: 3, p: 1, j: 1}. 3/10 Three letters picked without replacement from {t: 1, x: 1, c: 1, k: 1, f: 1}. Give prob of picking 2 t and 1 x. 0 Three letters picked without replacement from {c: 1, i: 3, y: 5, h: 1}. Give prob of picking 1 y, 1 c, and 1 i. 1/8 Four letters picked without replacement from {a: 3, w: 4, k: 1, m: 5, s: 1}. Give prob of picking 1 k, 1 w, and 2 a. 12/1001 Four letters picked without replacement from {q: 10, g: 4, m: 2}. Give prob of picking 1 m, 1 q, and 2 g. 6/91 Three letters picked without replacement from {y: 1, g: 1, w: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 y, and 1 i? 1/10 Two letters picked without replacement from lwwwzhaww. Give prob of picking 1 z and 1 a. 1/36 Four letters picked without replacement from wthxwlxa. What is prob of picking 2 w, 1 t, and 1 h? 1/70 What is prob of picking 1 y and 1 b when two letters picked without replacement from {m: 1, o: 2, y: 2, b: 1, q: 1, f: 1}? 1/14 What is prob of picking 1 g, 2 k, and 1 i when four letters picked without replacement from {i: 2, k: 2, g: 10}? 20/1001 Four letters picked without replacement from {o: 7, h: 7}. Give prob of picking 3 o and 1 h. 35/143 Two letters picked without replacement from {c: 11, z: 1, o: 2}. What is prob of picking 1 z and 1 c? 11/91 What is prob of picking 1 m and 2 s when three letters picked without replacement from {g: 4, m: 1, w: 5, s: 8}? 7/204 Four letters picked without replacement from {v: 10, x: 3, e: 2}. Give prob of picking 2 e and 2 v. 3/91 Four letters picked without replacement from {b: 1, t: 1, n: 1, c: 4, x: 5, z: 3}. What is prob of picking 1 n, 1 z, and 2 x? 2/91 What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 1, s: 1, u: 1, y: 1, l: 1}? 1/10 Three letters picked without replacement from rrrreerrerreeerreeer. Give prob of picking 2 r and 1 e. 33/76 Calculate prob of picking 2 b and 2 a when four letters picked without replacement from {b: 13, a: 6}. 195/646 Calculate prob of picking 2 k, 1 f, and 1 c when four letters picked without replacement from ckfckkcccck. 6/55 Two letters picked without replacement from {j: 4, z: 3, i: 7}. Give prob of picking 1 z and 1 i. 3/13 Two letters picked without replacement from {w: 2, i: 11, q: 1, p: 1}. What is prob of picking 1 i and 1 q? 11/105 Three letters picked without replacement from {h: 2, p: 4, v: 3}. What is prob of picking 3 v? 1/84 Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, f: 16, o: 1}. 1/1140 What is prob of picking 2 u and 1 x when three letters picked without replacement from {u: 2, x: 9, v: 1, y: 4}? 9/560 Four letters picked without replacement from {a: 6, p: 7}. What is prob of picking 4 p? 7/143 Two letters picked without replacement from {k: 8, i: 6, u: 1}. What is prob of picking 2 k? 4/15 Three letters picked without replacement from ooko. Give prob of picking 2 o and 1 k. 3/4 Calculate prob of picking 1 l, 1 d, and 1 h when three letters picked without replacement from hldqhqolsqhhsqq. 8/455 Four letters picked without replacement from nybvjnljvvbjb. What is prob of picking 1 l and 3 v? 1/715 Three letters picked without replacement from tttttttttt. Give prob of picking 3 t. 1 What is prob of picking 2 p when two letters picked without replacement from {p: 2, l: 2, i: 1, h: 1, g: 2}? 1/28 Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {e: 8, m: 2}. 1/15 Two letters picked without replacement from ubuuuubuuo. Give prob of picking 2 b. 1/45 Two letters picked without replacement from lzg. Give prob of picking 1 g and 1 l. 1/3 Three letters picked without replacement from {y: 17, s: 2}. What is prob of picking 3 s? 0 What is prob of picking 1 f, 1 z, and 1 d when three letters picked without replacement from dfzzdb? 1/5 Three letters picked without replacement from xlwlhlllwilii. What is prob of picking 1 i, 1 w, and 1 h? 3/143 Three letters picked without replacement from tmmmtttmtt. What is prob of picking 3 m? 1/30 Two letters picked without replacement from {z: 2, s: 2, x: 4, a: 2, k: 2, t: 2}. Give prob of picking 1 z and 1 k. 4/91 Four letters picked without replacement from rxxxxngunngnunrnr. What is prob of picking 1 u, 1 g, 1 r, and 1 x? 12/595 Four letters picked without replacement from llldld. Give prob of picking 3 l and 1 d. 8/15 What is prob of picking 1 o and 1 v when two letters picked without replacement from vvol? 1/3 What is prob of picking 2 e and 1 w when three letters picked without replacement from wwweeememewewemmw? 63/340 Two letters picked without replacement from {m: 7, b: 1, q: 2, k: 3, r: 4}. Give prob of picking 2 r. 3/68 Three letters picked without replacement from {p: 9, z: 2}. What is prob of picking 3 p? 28/55 Three letters picked without replacement from {y: 2, q: 2, k: 4, r: 2, p: 4, s: 1}. Give prob of picking 1 q, 1 y, and 1 s. 4/455 Four letters picked without replacement from znxvnaxanzna. What is prob of picking 1 x, 2 a, and 1 n? 8/165 Three letters picked without replacement from {t: 1, l: 2, v: 1}. What is prob of picking 1 v and 2 l? 1/4 Two letters picked without replacement from {o: 2, f: 2, c: 3, z: 3, t: 1, l: 9}. Give prob of picking 1 o and 1 z. 3/95 Two letters picked without replacement from ttuuutu. Give prob of picking 1 t and 1 u. 4/7 Three letters picked without replacement from {s: 5, a: 8, z: 1, h: 2, u: 1, m: 3}. What is prob of picking 1 u and 2 a? 7/285 Two letters picked without replacement from eebzsbp. Give prob of picking 1 p and 1 z. 1/21 Calculate prob of picking 3 q and 1 e when four letters picked without replacement from eqqeeqqeqeqq. 35/99 Calculate prob of picking 2 y and 1 l when three letters picked without replacement from lyuyudydy. 1/14 Four letters picked without replacement from kvqkkqqvvqqqqsqvqv. Give prob of picking 4 v. 1/612 Calculate prob of picking 3 f when three letters picked without replacement from {i: 2, f: 1}. 0 Calculate prob of picking 2 c when two letters picked without replacement from cpchccchcppcdddpchd. 28/171 What is prob of picking 3 v when three letters picked without replacement from ovvkvkk? 1/35 Four letters picked without replacement from kkkwkkkwwkww. Give prob of picking 2 k and 2 w. 14/33 Two letters picked without replacement from {h: 6, n: 3, w: 5, z: 1, y: 5}. What is prob of picking 2 w? 1/19 Calculate prob of picking 1 p and 3 t when four letters picked without replacement from dddtdtddtddttdddp. 1/238 What is prob of picking 1 q and 1 p when two letters picked without replacement from {j: 2, t: 1, z: 1, p: 10, v: 1, q: 5}? 5/19 Three letters picked without replacement from vvvvvvvvbvb. What is prob of picking 1 b and 2 v? 24/55 Four letters picked without replacement from ssqqqqqq. What is prob of picking 4 q? 3/14 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tihfaau. 1/21 Three letters picked without replacement from qqaqqaqaaq. What is prob of picking 3 q? 1/6 Three letters picked without replacement from {g: 5, w: 5}. Give prob of picking 1 w and 2 g. 5/12 What is prob of picking 2 h and 1 c when three letters picked without replacement from hchcchchhchcc? 105/286 What is prob of picking 1 c and 1 y when two letters picked without replacement from {y: 2, c: 1, u: 3, b: 10, q: 3}? 2/171 What is prob of picking 1 k, 1 i, 1 y,
{ "pile_set_name": "DM Mathematics" }
ose 4*z - 8 = 2*z - k, 3*z - p*k = -6. Is ((-7756)/6)/z*-3 a prime number? False Suppose -7 + 15 = 2*v. Let i be -603*(v/12 + -1). Is (10/(-4))/((-3)/i) a composite number? True Let w = 2577 + -1560. Suppose -1019*g + w*g = -7666. Is g a prime number? True Let q = -298 + 589. Let b = -1541 + q. Let n = -483 - b. Is n a prime number? False Suppose 2*m - 500811 = -3*v, -5679*v + 2*m = -5681*v + 333880. Is v composite? False Let c be (-125974)/(-16) + (-9)/24. Suppose 6*k + 2611 = c. Is k composite? False Let n(r) be the second derivative of 15/2*r**2 + 0 + 13*r - 101/3*r**3. Is n(-6) a prime number? False Suppose 3*y + 123*z = 127*z + 29197, 2*y - z - 19463 = 0. Is y prime? False Let w be (7 - 11)*(-9)/2. Let a be (-8)/48 - (-75)/w. Suppose -957 = -a*f + 1255. Is f a composite number? True Suppose -62*g + 65*g = 92790. Suppose -7*l + l = -g. Is l a prime number? False Let k(q) = 31966*q - 15279. Is k(20) a prime number? False Suppose 6*f = 49 - 19. Suppose f*d - 33 = -6*d. Suppose -3*n = d*c - 468, 0*n + n + 1 = 0. Is c prime? True Suppose -2*s = 3*t + 1113, -346 = 4*t - 5*s + 1161. Let k = t + 666. Is k a composite number? False Suppose 0 = 4*q - 3781 - 5475. Let d = q + -383. Is d composite? False Is 1914 + -12 - (-6 - (5 + -4)) a composite number? True Suppose 2*p - 584 = 3*y - 168, 0 = -4*y - 3*p - 549. Let b be y/(-30) + (-2)/(-5). Suppose -j - 1840 = -2*n, b*j = -n + 663 + 246. Is n composite? False Let p = -1442 + 448. Let f = -345 - p. Is f prime? False Let n(a) = -296109*a - 13. Let d be n(-5). Suppose 1850654 = -4*k - k + 3*s, -4*k - d = 2*s. Is k/(-168) - (-2)/(-12) a prime number? True Let i(j) = -5*j**3 + 13*j**2 + 11*j - 17. Let g be i(10). Let f = -1956 - g. Is f prime? False Suppose 18*h = 12*h. Suppose -20*f + 18*f + 4306 = h. Is f prime? True Let u(a) = -213*a + 97. Let h be 8/(300/44 + -7). Is u(h) prime? False Let z(x) = -209*x**3 - 13*x**2 - 107*x - 565. Is z(-16) a composite number? True Let l(z) = 3*z - 5. Let i be l(3). Suppose -5*k = 2*d - 29437, -3*k - i*d - 8474 = -26139. Suppose -349 - k = -4*h. Is h composite? False Let o(d) = 7468*d - 1909. Is o(39) a composite number? False Let g = 52 - -11. Let h = -56 + g. Is h/4*(23 + 29) composite? True Let p be 1 + 52*(3 - (-5)/(-2)). Suppose 23*n - p*n = 252. Is 2/(-7) - 126207/n a composite number? False Is 2 + (-20 - -13) + 527164 prime? True Let h(z) = -19*z + 106. Let u be h(6). Is -3 + 5 + (205 - u) composite? True Suppose 1856*d = 1860*d + 5428. Let v = d - -8768. Is v composite? False Suppose 93*r + 16*r = -4*r + 4033309. Is r a composite number? True Suppose -3*f + 2*v + 2 = 0, 3*v - 2 = 2*f + 5. Suppose 5*g = f*d - 3686, 286 - 1207 = -d + g. Is d composite? False Let f = 59 - 41. Let q = f + -60. Is (-4)/(-14) + (-6246)/q prime? True Let k(g) = 158*g**2 - 13*g + 187. Is k(14) a composite number? True Suppose -4*r = 2*j - 4, 0 = 4*j - 2*r + 8 + 4. Let i be j - (-2 + (-3 - -1)). Suppose -i*m + 5*b + 505 = -468, 4*b = 3*m - 1449. Is m a composite number? False Let n(f) = f**3 + 11*f**2 - 7*f - 6. Let s(z) = -z**3 + 5*z**2 - z - 8. Let g be s(4). Suppose 0 = -g*b - 9 - 11. Is n(b) a prime number? True Let m be 151959/37 + -1 + -3. Let a = m + -1852. Is a composite? False Suppose 4*d - 1580258 = -2*w, 3*d = -4*w + 1077148 + 108023. Is d composite? False Let k(h) = -127*h**3 - 4*h**2 + 7*h + 5. Let i be k(-2). Let r(m) = -5*m**2 - 8*m + 6. Let a be r(6). Let x = i + a. Is x a composite number? False Suppose -7*q - 3 = -4*q. Let t be (-2*(-1)/2)/q. Let o(s) = 8145*s**2 + 2. Is o(t) a prime number? True Let j be 45/975*13*5. Let t be (33/(-1))/((-1)/147). Suppose -t = -5*q + 4*n - 900, 0 = -j*n - 12. Is q a composite number? False Suppose -n + 4*n - 11 = 2*w, 5*n = -w + 14. Suppose -3 = 3*i + n*o, 3 = -0*o - 3*o. Suppose 43*t - 48*t + 4765 = i. Is t a prime number? True Suppose -4*w - 9 = -u, 5*w - 1 = -3*u + 4*w. Is (6/(-6) + 3594)/u a composite number? False Suppose 2*y - 4*y = -5*b - 30, -5*y + 17 = 2*b. Let i be ((-10)/b)/(2/4). Suppose 3*l - i*x - 992 = -113, 3*x - 879 = -3*l. Is l a prime number? True Let l = -33018 + 135115. Suppose -19*b = 4*b - l. Is b composite? True Let b be (28/10)/(-4 - 402/(-100)). Let o be b/15 - ((-1)/(-3) + 0). Let u(v) = 142*v + 25. Is u(o) composite? False Let r(u) be the first derivative of 10*u**3/3 + 21*u**2 + 79*u - 28. Is r(-26) a composite number? True Let r(n) = -3*n**2 + 2*n + 1. Let s be r(-1). Let b(z) = 2*z**3 + 9*z**2 + 2*z - 7. Let l be b(s). Is (-2)/4 + 1259/2*l a prime number? False Suppose -2*m - 3*z - 455 + 134 = 0, 5*z = 25. Is (-1797)/(2/(-7) - (-24)/m) a prime number? False Is -1 + -8 - ((-4)/(-14) + 47607222/(-91)) a composite number? True Suppose 757 + 323 = -15*g. Is (381*40/g)/(2/(-6)) a composite number? True Let n = -102341 - -194122. Is n a prime number? True Suppose -7*w = -93 - 82. Suppose -1065 = 30*r - w*r. Is (13/2)/(r/(-106) - 2) a prime number? False Let t(d) = 4170*d**2 - 4*d + 37. Is t(-7) a composite number? True Let z = 164 - 180. Is 8876/(-10)*40/z a composite number? True Suppose -3*u + 2*a + 4901551 = 0, u = a + 964998 + 668853. Is u prime? False Let x = -152204 + 401347. Is x a composite number? False Let v = -196 - -304. Suppose 5*h + 27350 = 3*x, -2*x = -x + 4*h - 9111. Suppose -u - v = -x. Is u a prime number? True Let x(u) = 153*u**2 - 248*u + 332. Is x(77) a prime number? True Suppose 0 = -3*f + m - 666, 244 = -f - 2*m + 29. Suppose 213 + 5377 = 13*t. Let p = t + f. Is p composite? True Is (-503046)/(-8)*168/126 - -8 a prime number? False Let o = 77 - 105. Is 126/o*(-5414)/3 composite? True Suppose -w + 0*w = -4*l + 3, 16 = -2*w - 2*l. Let f(o) be the third derivative of -83*o**4/8 - 2*o**3/3 - 2*o**2 + 11. Is f(w) composite? True Suppose 2*w = -4*w + 14760. Suppose -j = 2*z - 932, 5*z - w = j - 130. Suppose 0 = -m + 5*g + z, -5*g + 932 = 3*m - m. Is m a prime number? False Suppose 2*s - q = 458, -s - 4*s + 1127 = 2*q. Suppose -s*n + 226*n + 3079 = 0. Is n composite? False Suppose l - 2*u = -150127, 4 = 3*u - 4*u. Is l/(-13) - (-10)/65 prime? True Let s(p) = 3*p + 26. Let t be s(-7). Suppose -t*v - 52498 = -4*y, 5165 + 60468 = 5*y - v. Is y a prime number? True Suppose 4*u - 4*r = -16, 0 = -0*r + r - 4. Suppose 2*d = f + f + 6706, -2*d - 5*f + 6685 = u. Suppose 9*w + w = d. Is w composite? True Suppose -32*o - 7432 = -95400. Is o a composite number? False Let h = 65 + -60. Suppose -1 - 14 = -5*o - h*z, -5*o - z + 7 = 0. Suppose -4*d = -o - 3, 3*w + 3*d - 204 = 0. Is w composite? False Suppose 0 = -5*j - 5*g - 0*g + 1749535, -5*g - 1399592 = -4*j. Is j prime? True Is (-442097)/((3 + 11)/(-14)) prime? True Suppose -2*p - 4*h = -216 - 1888, 5*h = 3*p - 3156. Is ((-44)/8)/((-2)/p) composite? True Is 15334 + (144/(-96))/(3/(-10)) prime? False Let x be ((-6)/7)/(60/(-280)). Is -12*((-2)/8 - 3) - x a composite number? True Suppose 0 = 14*d + 14 - 14. Suppose 0 = -4*l + 4*r + 17784, 5*l + d*l = r + 22218. Is l prime? False Let b(w) be the first derivative of -w**4/4 - 5*w**3/3 + 7*w**2 + 13*w - 5. Let y be (-12)/(-48) - (-37)/(-4). Is b(y) a composite number? False Suppose 4*k = -12, -4*f = -2*f - 2*k - 1032. Let d = 70 - f. Let o = 890 - d. Is o a prime number? False Suppose 1851*t = 1813*t + 6726. Suppose 7*w - 2480 = 2*w. Let g = w - t. Is g a prime number? False Let x be ((-8)/20)/(2/(-20)). Let z be -6 + -1 - 12/x. Is -499*(7 + z + (1 - -1)) composite? False Let r(c) = -c**3 + 9*c**2 - 22*c + 8. Let a(x) = 4*x - 33. Let f be a(12). Let g be r(f). Let o = g - -3329. Is o a prime number? True Let u(h) = 294*h**2 - 7*h + 3. Let l(i) = -5*i. Let o(v) = v. Let p(y) = -l(y) - 6*o(y). Let t(b) = -3*p(b) + u(b). Is t(2) a prime number? True Let v = 92648 - -314259. Is v a prime number? True Suppose -2*y + 3*s - 10 = 0, -s - 5 = y - 6*s. Is (-5749 - (y - -12))*9/(-12) a prime number? False Suppose 5*k - 190428 = -102030 + 152077. Is k a prime number? False Suppose -14*s - 728 = -4172. Suppose -s*v + 243*v + 46203 = 0. Is v a prime number? True Let p = -408 - -793. Suppose -389*x = -p*x - 18916. Is x prime? True Suppose -13 = -5*y - 18, 2*t - 259905 = -y. Is t composite? False Suppose 0 = 261*w - 82440116 - 146577727. Is w composite? False Let w(b) = 94*b**3 + 2*b**2 - 5*b + 2. Let y(l) = l**2 + 8*l +
{ "pile_set_name": "DM Mathematics" }
. 10/91 Calculate prob of picking 1 p, 2 k, and 1 m when four letters picked without replacement from {p: 3, t: 4, m: 1, k: 3}. 3/110 Calculate prob of picking 1 r and 2 v when three letters picked without replacement from {v: 7, w: 4, r: 2}. 21/143 What is prob of picking 2 t when two letters picked without replacement from jjjttjtjjtjtjjtt? 7/40 Calculate prob of picking 1 r and 1 t when two letters picked without replacement from rtqdqddqqdddrgb. 2/105 What is prob of picking 3 k when three letters picked without replacement from ikkdimipikiik? 2/143 What is prob of picking 1 z, 1 t, and 1 y when three letters picked without replacement from uutyz? 1/10 Two letters picked without replacement from ywaywpakaya. Give prob of picking 1 w and 1 a. 8/55 What is prob of picking 2 t when two letters picked without replacement from {g: 1, t: 2, p: 1}? 1/6 Four letters picked without replacement from {d: 6, q: 13}. Give prob of picking 4 d. 5/1292 What is prob of picking 1 z and 1 y when two letters picked without replacement from {w: 1, a: 2, z: 7, y: 7}? 49/136 Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {f: 7, l: 2, s: 1}. 7/20 Two letters picked without replacement from {f: 4, k: 1, u: 1, g: 1, v: 2, o: 3}. Give prob of picking 2 f. 1/11 Three letters picked without replacement from bzzbczzzcbczyzcvzcc. Give prob of picking 1 y, 1 b, and 1 c. 6/323 Two letters picked without replacement from {c: 6}. Give prob of picking 2 c. 1 What is prob of picking 2 n, 1 d, and 1 c when four letters picked without replacement from {v: 4, t: 1, x: 1, c: 2, d: 5, n: 2}? 2/273 What is prob of picking 2 w when two letters picked without replacement from wwwccwcwwcw? 21/55 What is prob of picking 2 i and 2 o when four letters picked without replacement from iontotttntiootttto? 1/306 Four letters picked without replacement from {y: 2, o: 6}. Give prob of picking 4 o. 3/14 Four letters picked without replacement from xxxxoxxxxxooxx. What is prob of picking 2 x and 2 o? 15/91 Four letters picked without replacement from qeqttqqrrqyqery. What is prob of picking 2 r and 2 e? 1/455 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {b: 4, t: 1, m: 1, c: 2, e: 3, n: 1}. 1/22 Two letters picked without replacement from xxzzp. What is prob of picking 1 z and 1 x? 2/5 Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {m: 1, v: 2, n: 6, h: 3, i: 2}. 2/91 Four letters picked without replacement from zljjjjjjjlljjsfjzjf. Give prob of picking 1 f, 1 s, and 2 l. 1/646 Two letters picked without replacement from {m: 5, y: 4, j: 3}. Give prob of picking 2 y. 1/11 Two letters picked without replacement from {x: 1, y: 5, v: 5, c: 2, u: 3}. What is prob of picking 1 v and 1 x? 1/24 What is prob of picking 2 x and 2 f when four letters picked without replacement from {r: 4, f: 4, x: 2}? 1/35 Three letters picked without replacement from {z: 5}. Give prob of picking 3 z. 1 What is prob of picking 2 c and 1 h when three letters picked without replacement from hychkkchycyhhcc? 10/91 What is prob of picking 1 y, 1 z, and 1 r when three letters picked without replacement from zkyrryyrzyyykyykyyk? 20/323 Calculate prob of picking 2 e when two letters picked without replacement from {e: 11, g: 7, s: 2}. 11/38 Calculate prob of picking 2 u when two letters picked without replacement from padstdpppdapuuupaaa. 1/57 Calculate prob of picking 1 k, 1 w, and 1 p when three letters picked without replacement from kkkppkpwwkkk. 21/110 What is prob of picking 3 w and 1 n when four letters picked without replacement from {v: 6, o: 1, x: 2, n: 2, w: 7}? 7/306 What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 1, t: 14}? 1/5 Two letters picked without replacement from mmnx. Give prob of picking 1 m and 1 n. 1/3 Three letters picked without replacement from nuwrwueryyyuuur. Give prob of picking 2 w and 1 u. 1/91 Four letters picked without replacement from {p: 4, q: 2, d: 3}. Give prob of picking 3 d and 1 p. 2/63 Calculate prob of picking 2 f when two letters picked without replacement from ffftfftffffff. 55/78 Three letters picked without replacement from uujys. What is prob of picking 2 u and 1 y? 1/10 What is prob of picking 1 d, 1 n, and 2 r when four letters picked without replacement from mnrnnrrrqddddmnnnn? 14/255 Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {i: 2, w: 4, n: 1, s: 1}. 1/14 Calculate prob of picking 1 u and 3 k when four letters picked without replacement from {u: 1, a: 1, k: 3, x: 1, q: 1}. 1/35 Calculate prob of picking 2 g when two letters picked without replacement from {o: 1, g: 5, v: 3, f: 2, m: 1}. 5/33 Calculate prob of picking 1 t, 1 m, and 2 e when four letters picked without replacement from {m: 6, t: 2, e: 2, i: 2}. 4/165 Two letters picked without replacement from {p: 2, h: 3, i: 1, k: 3, v: 3, t: 2}. What is prob of picking 1 t and 1 h? 6/91 Three letters picked without replacement from {b: 3, w: 2, t: 1, p: 1}. What is prob of picking 1 t and 2 b? 3/35 Four letters picked without replacement from {z: 1, y: 1, h: 1, s: 1, m: 2, t: 2}. What is prob of picking 1 h, 1 z, and 2 s? 0 Calculate prob of picking 2 g and 2 t when four letters picked without replacement from {g: 5, u: 2, t: 12}. 55/323 Three letters picked without replacement from ryypryyryr. Give prob of picking 3 r. 1/30 What is prob of picking 2 z, 1 g, and 1 x when four letters picked without replacement from xczzxgzxzcx? 4/55 What is prob of picking 1 h and 1 t when two letters picked without replacement from {i: 1, t: 2, h: 1, g: 1}? 1/5 Two letters picked without replacement from lclwnllcknlch. What is prob of picking 1 c and 1 k? 1/26 Three letters picked without replacement from {o: 2, g: 3, x: 6, m: 4}. What is prob of picking 1 x and 2 g? 18/455 Three letters picked without replacement from {s: 1, z: 1, c: 1, f: 6, o: 2, w: 4}. What is prob of picking 1 w, 1 c, and 1 o? 8/455 What is prob of picking 1 n and 1 z when two letters picked without replacement from {z: 2, n: 1}? 2/3 What is prob of picking 2 z and 2 t when four letters picked without replacement from {t: 11, z: 2}? 1/13 Four letters picked without replacement from eeseeseeesseesss. Give prob of picking 3 s and 1 e. 9/52 What is prob of picking 1 a and 1 l when two letters picked without replacement from {f: 2, g: 1, l: 2, d: 2, j: 1, a: 4}? 4/33 Three letters picked without replacement from {r: 5, s: 1, o: 3, w: 7}. What is prob of picking 1 w and 2 o? 3/80 Two letters picked without replacement from whjpi. What is prob of picking 1 j and 1 p? 1/10 Four letters picked without replacement from iaussxka. What is prob of picking 1 u, 2 a, and 1 s? 1/35 Calculate prob of picking 1 g and 3 a when four letters picked without replacement from {a: 9, j: 6, g: 2}. 6/85 Three letters picked without replacement from zelhczeezzhc. Give prob of picking 1 l and 2 e. 3/220 Calculate prob of picking 1 y, 1 u, and 1 d when three letters picked without replacement from {z: 7, d: 3, n: 2, y: 1, r: 2, u: 3}. 3/272 What is prob of picking 1 f and 3 j when four letters picked without replacement from {j: 6, f: 2}? 4/7 Two letters picked without replacement from {p: 1, g: 1, a: 3, j: 1, z: 5, l: 2}. What is prob of picking 1 a and 1 p? 1/26 Calculate prob of picking 1 r and 1 g when two letters picked without replacement from grg. 2/3 What is prob of picking 2 u and 1 l when three letters picked without replacement from {v: 1, u: 2, n: 1, o: 1, l: 1, b: 1}? 1/35 What is prob of picking 1 z and 1 g when two letters picked without replacement from laglhzah? 1/28 Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjhjjhjjjjjj. 153/190 Three letters picked without replacement from mmbmbbmbhbbmmhmhbb. Give prob of picking 3 m. 35/816 Three letters picked without replacement from {c: 2, s: 4, k: 8, m: 2}. Give prob of picking 3 k. 1/10 Calculate prob of picking 1 t and 1 a when two letters picked without replacement from wjtatwtjtywgtyt. 2/35 Four letters picked without replacement from jggggjggggggjggggggg. What is prob of picking
{ "pile_set_name": "DM Mathematics" }
d What is the second smallest value in -5/2, -0.01, -62, -6? -6 Which is the smallest value? (a) -0.5 (b) 0.1 (c) -42 c What is the smallest value in 38, 0.5, -2.6? -2.6 What is the biggest value in -2/61, -22, -3? -2/61 Which is the fourth smallest value? (a) 1/5 (b) -29 (c) 2/41 (d) -5 a What is the fourth smallest value in 2, 0.3, -3/4, -2/171? 2 What is the biggest value in -102, 0.3, -1, 4? 4 What is the third biggest value in 0.1, -0.4, 354, 0? 0 Which is the third smallest value? (a) 74 (b) -0.01 (c) -5 a Which is the second smallest value? (a) -3 (b) 5 (c) 66 (d) 0.1 (e) 0.2 d What is the second smallest value in 0.051, -5, -4, 1? -4 What is the third smallest value in 1/3, 1, 174, -0.3, -0.5? 1/3 What is the smallest value in -1/5, -242/17, 0.5? -242/17 What is the second biggest value in 6, 4, 5, -15? 5 Which is the second smallest value? (a) 3 (b) -0.06 (c) -0.8 (d) 2/3 b What is the fourth smallest value in -6/11, 3/7, -3/5, 0? 3/7 Which is the fifth biggest value? (a) -1 (b) -25 (c) -0.3 (d) 0.1 (e) -5 b Which is the third smallest value? (a) 0.146 (b) -1/4 (c) 2 c What is the fifth smallest value in 1, 2, -2/9, 1/3, 0? 2 What is the fourth smallest value in -0.4, 2, 1/4, -0.2, -234? 1/4 Which is the third biggest value? (a) 0.17 (b) 2/25 (c) 60 (d) -0.3 (e) -2 b Which is the third biggest value? (a) -27 (b) -3/7 (c) 1 (d) 1/4 (e) 3 d Which is the biggest value? (a) 1 (b) 194/3 (c) 5 b Which is the second smallest value? (a) -16 (b) 3 (c) 0 (d) 4 c What is the fourth smallest value in -20, -0.5, 3/2, -4, 5? 3/2 What is the biggest value in -3, -1, 5? 5 What is the smallest value in -0.1, 0.038, -1/5? -1/5 Which is the fourth smallest value? (a) -1 (b) -0.3 (c) -0.02 (d) -5 c Which is the fourth biggest value? (a) 1 (b) 3 (c) -9 (d) -14 d What is the fourth smallest value in -3/4, 1/4, -2/7, 2/7? 2/7 What is the smallest value in 3, 1/9, -27? -27 Which is the smallest value? (a) 0.4 (b) 18 (c) 0 c What is the second biggest value in 3, -1, -0.474? -0.474 What is the third smallest value in -1, 6/7, 0.3? 6/7 What is the second smallest value in 0.5, -2, -1/8? -1/8 What is the third biggest value in -0.2, 1/6, -1, -0.09? -0.2 Which is the biggest value? (a) -6 (b) -2 (c) -0.2 (d) -30 c What is the third smallest value in -1/16, -1/4, -1, 0.4? -1/16 What is the second biggest value in -2/19, 182, 2, -3/7? 2 What is the second biggest value in 4, 3/29, 3? 3 What is the third smallest value in 2/5, -1/2, 3? 3 Which is the second smallest value? (a) -3 (b) -3/4 (c) 52 (d) 4 b Which is the biggest value? (a) -36 (b) -0.2 (c) -3 (d) -2 b What is the smallest value in -2/15, -7, 5? -7 Which is the third biggest value? (a) -129 (b) -0.1 (c) 0.1 (d) 3 b What is the third smallest value in 2/3, 2/13, -2? 2/3 Which is the smallest value? (a) -2 (b) -11 (c) -1/2 b Which is the fourth smallest value? (a) 148 (b) -2 (c) -0.1 (d) 1 a What is the third smallest value in 36, -2, -7/8? 36 What is the smallest value in -0.069, 0, -4? -4 Which is the second smallest value? (a) -2/11 (b) -0.05 (c) 0.5 (d) -1/2 a Which is the second smallest value? (a) 0.069 (b) -2 (c) 21 a What is the smallest value in -4, -12, -2/9, 1.5? -12 Which is the fourth biggest value? (a) 39 (b) 0.2 (c) 9 (d) -0.4 d What is the smallest value in -4, 589, 4, -0.2? -4 What is the third biggest value in 17, 5, 0.14? 0.14 Which is the biggest value? (a) -1/29 (b) -3 (c) 0.3 (d) -2 c Which is the second smallest value? (a) -37 (b) -5 (c) -22 c Which is the second smallest value? (a) -2 (b) -0.1 (c) -22.94 (d) 1 a Which is the biggest value? (a) -8641 (b) 0 (c) 1/6 c What is the smallest value in 4, -3, -4/37? -3 Which is the second smallest value? (a) -3/4 (b) 1 (c) -21 (d) 3 a What is the second smallest value in -1, -1/5, -0.1, -6? -1 What is the third biggest value in 0.2, 3, 2, -46/7, -1? 0.2 What is the second biggest value in -40/21, -5, 3/5? -40/21 What is the second biggest value in -1, -79, 0.9? -1 Which is the third biggest value? (a) -0.112 (b) 0 (c) 4 a Which is the biggest value? (a) -4 (b) -3/7 (c) 4 c What is the third smallest value in -27, -1, 2, 1/5? 1/5 Which is the third smallest value? (a) -70 (b) 2 (c) 0 b Which is the third biggest value? (a) -4 (b) 0.3 (c) 4 (d) 1 b Which is the smallest value? (a) -38/21 (b) -3/2 (c) -2 c Which is the fourth biggest value? (a) -0.2 (b) 0.1 (c) 4 (d) -4 d What is the fifth biggest value in 6, 2, -3, -3/388, -0.1? -3 What is the fourth biggest value in 12, -23/11, -3, -5, -1/10? -3 Which is the third biggest value? (a) -5 (b) -2/3 (c) 1/6 (d) 1/28 b Which is the second biggest value? (a) -3/5 (b) 2/3 (c) 2 b Which is the fourth biggest value? (a) 0 (b) 26 (c) -5 (d) -1 c Which is the biggest value? (a) -3 (b) 1 (c) 0.04 (d) 0 b Which is the second biggest value? (a) -5 (b) -0.5 (c) -3 (d) -2/7 b What is the fifth smallest value in 0.13, -0.1, -0.022, 3, -5? 3 What is the second biggest value in 2/9, -1/10, 38/23? 2/9 Which is the biggest value? (a) 8 (b) -5 (c) -4 (d) -0.08 a What is the smallest value in -80, -1/8, -4? -80 Which is the third biggest value? (a) 0.29 (b) 1/4 (c) -0.2 c What is the fourth biggest value in 0.3, 1/4, 1, 0.1, 7? 1/4 Which is the fifth biggest value? (a) 0.3 (b) 1 (c) 2/11 (d) -387/5 (e) 0 d What is the third smallest value in 8, -5, -47, 2? 2 Which is the fourth biggest value? (a) -4 (b) -1/4 (c) -107 (d) -0.5 c What is the biggest value in 2, 177, -3? 177 What is the second biggest value in -3, -531, 2/9, 0? 0 What is the second biggest value in 0.3, 1/2, 0.1, -0.17, -41? 0.3 Which is the third smallest value? (a) 3/13 (b) 15 (c) -0.2 (d) 1/6 a Which is the second smallest value? (a) 0.13 (b) 2/31 (c) 0 (d) -2/9 c What is the third smallest value in 5, 2/9, -3/5, 3.6? 3.6 Which is the second biggest value? (a) 3 (b) -0.2 (c) 2/5 (d) -0.0088 c Which is the smallest value? (a) 1/2 (b) 1216 (c) -3 c What is the third smallest value in 4, -5/4, 2, -4? 2 Which is the third biggest value? (a) -2 (b) -4 (c) -4/9 (d) -0.1 a Which is the second smallest value? (a) -4 (b) 1 (c) 0.009 c What is the third biggest value in 2, 4/3, 1.13, 2/7, -0.1? 1.13 What is the fourth smallest value in -5, -8/7, -3, 4? 4 What is the second biggest value in -42, -2, -6/13? -2 What is the second biggest value in 3, 1/25, 2/3? 2/3 Which is the second biggest value? (a) -2/11 (b) 0.053 (c) 4 b Which is the second biggest value? (a) 0.07 (b) 0.201 (c) -4 a Which is the biggest value? (a) 3 (b) -21 (c) 55 (d) -2/15 c What is the smallest value in -3, -150, 0? -150 Which is the smallest value? (a) -0.02 (b) -0.4 (c) 0 (d) -7 (e) 1/5 d What is the biggest value in -6/7, -0.6, -0.2, -0.08? -0.08 What is the smallest value in 5, 0.12, 1, -2? -2 What is the second biggest value in 1/2, -0.5, -122? -0.5 Which is the second smallest value? (a) 2/19 (b) -58 (c) -4 c What is the second smallest value in -1/5, -0.4, -56? -0.4 Which is the smallest value? (a) -2/629 (b) -5 (c) -2 b What is the third smallest value in 1/7, -3, -24, 2? 1/7 What is the biggest value in 5/4, 4/7, 0.074, 3? 3 What is the smallest value in -5, -1/8, -4/23? -5 Which is the biggest value? (a) 5/307 (b) -0.5 (c) 1 c Which is the fourth biggest value? (a) 2/11 (b) 7/3 (c) 0 (d) 0.2 (e) 5 a What is the third smallest value in -0.4, 0.3, 5/2, -6? 0.3 What is the second biggest value in -0.77, 0, -53, 0.5, -0.5? 0 What is the third biggest value in -5, -4, 631? -5 Which is the fourth smallest value? (a) -4 (b) 8 (c) -12 (d) -2 b Which is the third biggest value? (a) -5 (b) 4 (c) 3 (d) 6 c Which is the biggest value? (a) 6 (b) 42 (c) -0.5 b Which is the fourth biggest value? (a) -0.3 (b) 5 (c) 220 (d) -0.5 d Which is the third biggest value? (a) 3 (b) 4 (c) 668 a What is the second biggest value in -1, 3, -4/19? -4/19 What is the smallest value in 2, -13/5, 3, -2? -13/5 What is the third smallest value in 27, -3, -1/4? 27 Which is the second smallest value? (a) 100 (b) 4 (c) 0 b Which is the third smallest value? (a) 1 (b) -143 (c) 0.
{ "pile_set_name": "DM Mathematics" }
139). 776*g**3 + 1 Expand -2 + 2 - 2*k**3 - 213760*k**2 + 213760*k**2 - 496*k**3 + (5*k - 2*k - k)*(2*k**2 + k**2 - 2*k**2). -496*k**3 Expand (v**2 + 8*v**2 - 3*v**2 - v**2 + v - v + (v + v + 6*v)*(2*v - v - 2*v))*(-1 - 3 + 0) + (v + v - 5*v)*(3 - 3 - 2*v). 18*v**2 Expand (-5*k**2 - 2*k**2 + k**2)*(3*k - 4*k - 2*k**2 + 3*k**2 - 5 + (2*k + 4*k + 0*k)*(-3*k + 3*k + 2*k)). -78*k**4 + 6*k**3 + 30*k**2 Expand (-2*q - 3*q + 3*q)*(-2*q**4 - q**2 + q**2) - q**5 - 3*q**5 + 3*q**5 + (41092*q - 25*q**2 + 41099*q - 2*q**5 - 82204*q + 7*q**3)*(-1 + 0 + 2). q**5 + 7*q**3 - 25*q**2 - 13*q Expand (-1 + 3*d + 1)*(36*d**2 - 9*d**2 + d - 77 + 66). 81*d**3 + 3*d**2 - 33*d Expand (-j**2 + j**2 - 2*j**3)*(14 + 12 - 39 - 3035*j + 13). 6070*j**4 Expand (2*b**3 + 0*b**3 - 4*b**3)*(b - b + 2*b**2) + (2*b**2 - 2 + 2)*(7*b**3 - 7*b**3 + 5*b**3) + (4*b**2 + 0*b**2 - b**2)*(b**3 + 4*b**3 + 11*b**3). 54*b**5 Expand (-119 - 385*c + 119)*(-2*c + 1 - 1) + (-3*c + 6*c + 0*c)*(2*c - 3*c + 0*c). 767*c**2 Expand (40 - 13 - 19*a - 19)*(-2*a**3 - 2*a**3 + 3*a**3) + 82*a**3 + 7*a**4 - 82*a**3. 26*a**4 - 8*a**3 Expand (-p + 2*p - 2*p)*(-19*p**2 - 6*p**2 + 14*p**2) - 9*p**3 + 5*p**3 - 8*p**3. -p**3 Expand (-28*o**3 - 43 + 43)*(-1 + 1 - 2)*(5 - 3 + 2)*(11*o + 5*o - 18*o). -448*o**4 Expand -7104 + 7*r + r + 7091 + (-1 + 3 + 1)*(-2*r + 0 + 0). 2*r - 13 Expand (-80 - 6*h + 80)*(-6*h + 0*h + h)*(10*h**2 + 10*h - 10*h + (-3 + 3 + 1)*(-2*h**2 - h**2 + 5*h**2)). 360*h**4 Expand (54*d - 27*d - 31*d + (-1 + 4 - 1)*(-3 - 2*d + 3))*(-5*d - 6*d + 8*d). 24*d**2 Expand (2 + 3 - 2)*(24 - 65 + 3731*x + 2568*x + 41). 18897*x Expand (58*f - 129*f - 66*f)*(80*f + 59*f - 81*f)*(-1 + 1 - 1). 7946*f**2 Expand (0*a + a + a + (-4*a + 6*a - 3*a)*(1 + 0 + 0) - 4*a + 0*a + 2*a - 2*a + 1 - a + 6*a + (0 + 0 - 1)*(3*a - 7*a + a))*(-48*a**4 - 335*a**4 - 62*a**4). -2225*a**5 - 445*a**4 Expand (2 + 1 - 11)*(-g + 0*g - g)*(-6*g + 3*g + 4*g + (2 - 3 + 0)*(0*g - g + 0*g) + (-2 + 0 + 3)*(2*g - 2*g + g)). 48*g**2 Expand (5*j - 6*j + 5*j)*(-j - j**2 + j + 2*j**2 - 3*j**2 + 0*j**2 + (-7*j + 5*j + 6*j)*(3*j - j - 3*j)). -24*j**3 Expand (-12 + 31 + 19)*(t - t + 2*t) + (-1 + 25 - 4)*(0*t - t + 2*t). 96*t Expand (-2 - 4 + 1)*(-1604 + 16*y + 806 + 823). -80*y - 125 Expand (1 - 1 + 3)*((-5*x - 12*x + 13*x)*(-1 - 3 + 7) + 0 + 0 + 23*x). 33*x Expand (10*t - 3*t - 11 - 4*t)*(16*t - 15*t - 20*t). -57*t**2 + 209*t Expand (3*i**2 + i**2 + 0*i**2)*(179*i - 1 - 312*i - 9*i). -568*i**3 - 4*i**2 Expand (2 - 6 + 2)*(-s + s - 2*s) - 2 + 2 + s + (5 - 2 - 4)*(0*s + 0*s + 2*s) + (-3 + 5 + 4)*(-s + 0*s - 2*s). -15*s Expand (0*t + 0*t - 2*t)*((1 + 3 - 2)*(-2*t + 8*t - t) + 12*t - 14*t + 5*t + 2*t - t + 2*t). -32*t**2 Expand -2*t**5 - 3*t**5 + 6*t**5 + (-3*t**2 + 3*t**2 + t**4)*(t - 3*t + 0*t) + 2*t**2 + 3*t**5 - 2*t**2 - 2*t**3 + 3*t**3 - 60*t**5 + 68*t**5. 10*t**5 + t**3 Expand (-1 + 2 - 4 + (-4 + 6 + 0)*(1 - 4 + 6))*(-46 + 46 + 617*u). 1851*u Expand (2*p + p - 2*p)*(2 - 2 - 2*p)*(-1 + 4*p**3 - 7*p**3 + 4*p**3) - 19 - 20*p**5 + 19. -22*p**5 + 2*p**2 Expand 5*u + 7*u**5 - u**5 - 4*u**5 - 48*u**5 - 71*u**5 - 42*u**5 + (-1 - 3*u**3 + u**3 + 3)*(-2*u - u + 2*u)*(-2*u - 2*u + 5*u). -157*u**5 - 2*u**2 + 5*u Expand (3*k - 2*k - 3*k)*(4 + 0 - 3 - 3 + 4 + 2 + (1 - 3 - 2)*(6 - 3 - 1))*(12 - 21 + 7)*(0*k**3 + 7*k**3 - 3*k**3). -64*k**4 Expand (3*u - 3*u + 2*u)*(14*u**2 + 8*u**2 + 6*u**2 + (6 + 9 + 8)*(-3*u**2 + 3*u - 3*u)). -82*u**3 Expand (353375*b + 39*b**3 - 1 - 353371*b + 2)*(4*b - 3*b - 2*b). -39*b**4 - 4*b**2 - b Expand -2*u**5 - 2*u**3 + 2*u**3 + (0*u - 2*u - 17*u**2 + 4*u)*((3*u + u - 2*u)*(-4*u + 4*u + 2*u**2) - 4*u - 3*u**3 + 4*u). -19*u**5 + 2*u**4 Expand (0*l**3 - 3*l**3 + 5*l**3 + (l - l**2 - l)*(-40*l - 25*l + 99*l))*(-3 - 6 - 2)*(2*l + 0*l - l). 352*l**4 Expand (-3 - 4 - 7)*(-1 - 2 + 2 + (0 + 0 - 2)*(-3 - 1 + 3) - 1 + 1 - 1 - 6 + 4 - 24)*(-6 - 3*t**2 + 6). -1092*t**2 Expand ((-4 + 3 - 1)*(0 - 1 + 2) + 4 - 5 + 6 + 1 + 3 - 3)*(140 - 1479*i - 1350*i - 140). -11316*i Expand (187*a**2 + 162*a**2 + 27*a**2 + 101*a**2 + 64*a**2 - 84*a**2)*(45*a + 2*a + a). 21936*a**3 Expand (-q**5 + 43 + 19540*q - 19540*q)*((2 - 4 + 3)*(1 - 1 + 5) + 6 - 2 - 2). -7*q**5 + 301 Expand (0*o**2 - o**3 + 0*o**2)*(3026 - 17724 + 8712). 5986*o**3 Expand -177 + 60*r + 177 + 5*r - r - r + (-4 + 2 - 1)*(-r + 4 - 4). 66*r Expand (2 - 2*a - 2 + 4*a - 2*a - 3*a + (-3*a + a + 4*a)*(-1 + 0 + 2) - 2 + 2 - 1 - 2*a)*(7*a - 7*a + 2*a**3)*(-18*a + 20*a - 61 - 23). -12*a**5 + 500*a**4 + 168*a**3 Expand -38*n**3 + 38*n**3 - 42*n**4 + (9079 - 9079 - 122*n**3)*(-n - n + 0*n). 202*n**4 Expand (s - s + s)*((-1 - 1 + 0)*(-174 + 125 - 310) - 2 - 2 + 0). 714*s Expand (-r**3 + 2*r**2 - 2*r**2)*(1798 + 1143 - 4870). 1929*r**3 Expand (-c**2 + 4*c - 4*c)*(-1817*c**2 + 1022*c**2 - 1346*c**2 + (-2*c**2 + 0*c**2 + 0*c**2)*(1 + 0 + 0))*(2*c - 4*c + 4*c). 4286*c**5 Expand (-1 - 1 + 0)*(-9989 + 9989 - 122*s + 16 + 16*s - 16 + 2 + 2*s - 2 + (-1 + 1 - 2)*(-5*s + 2*s + 5*s)). 216*s Expand p**2 - 3*p**2 + 5*p**2 + ((-4 - 1 + 4)*(4 - 2 + 1)*(-16*p - 8*p + 2*p) - 3*p - 3*p + 4*p)*(2*p - 3*p - p). -125*p**2 Expand (-3 + 3 - 1)*((2*u + 0*u + u)*(-44 - 61 + 178) - 3 - 4*u + 3). -215*u Expand (0*n**2 - 2*n**2 + 9*n**2 - 1)*(3*n - n - 5*n + (79 + 48 - 20)*(4*n - 2*n - 3*n)). -770*n**3 + 110*n Expand (-j - 4*j + j)*(-4 + 2*j + 4) + 10413*j - 10413*j - 47*j**2 + 3. -55*j**2 + 3 Expand (-69*n + 105*n + 605*n)*(-3*n + 0*n + 2*n)*(2*n + 4 - 4)*(n + 2*n**2 - n) - 20 + 4*n**5 + 20. -2560*n**5 Expand (-5*y + 6*y + 0*y)*(y**2 - y**2 - y**3) + 2*y**4 + 24*y**2 - y - 90*y**2 + 45*y**2. y**4 - 21*y**2 - y Expand 0 - 109*v**3 - 36*v**3 + 0 - v**3 + 3*v**3 + 0*v**3 - 5*v**3 - 9*v**3 - 7*v**3 + (v - v + 2*v**2)*(-v + v + 2*v). -160*v**3 Expand p**4 - p**4 + 3*p**5 + (-2501*p - 164*p - 2743*p)*(-2 + 2 - 2*p**4) - 4*p**5 + 3*p**5 + 2*p**5. 10820*p**5 Expand (17 + 4 - 8)*(-47 + 23 - 20)*(1 - 1 - 3*u). 1716*u Expand (-l - 1 + 1)*(-6819 - 6817 - 488*l + 13634). 488*l**2 + 2*l Expand (4 - 2 - 3)*(-1 + 0 + 2)*(-1 + 2 - 2 + (-2 + 2 - 2)*(0 + 0 - 1) + 133 + 20 + 13)*(-2*o + 7*o + 0*o). -835*o Expand (-2*m**3 + 7*m**3 - 3*m**3 + (-2 + 2 - m)*(25*m**2 - 199*m**2 + 8*m**2))*(0 + 1 - 3)*(2*m + m - 2*m). -336*m**4 Expand -2*o**2 + 13427 - 13427 + 3*o + (5*o - 4*o - 3*o)*(-o + 0*o + 4*o) + 5*o**2 - 5*o**2 + o**2 + 2*o**2 - 4*o**2 - 2*o**2. -11*o**2 + 3*o Expand (-342 + 1060 - 346 - 372 + 8565*n)*(17 - 17 - 6*n). -51390*n**2 Expand (2*f + 0*f - 10*f)*(10 - 4*f - 10 + 0*f - f + 2*f + (1 - 1 + f)*(2 - 1 - 3))*(-3 + 5 - 1). 40*f**2 Expand (-62*a - 3 + 61*a + 1)*(299*a**2 - 10482*a + 10482*a). -299*a**3 - 598*a**2 Expand (2*s**4 + 2*s**4 - 5*s**4)*(-18 + 18 - 23*s) + (3*s + 3*s - 7*s)*(3 - 4 + 0)*(11 - 13 - 14)*(-4*s**4 + 4*s**4 + s**4). 7*s**5 Expand ((0 - 2 + 0)*(4 - 4 - 2*c**2) + 3*c - 3*c - c**2 + 10356 - 10356 + 18*c**2 - 4*c)*(-4*c - 8*c + 11*c)*(1 - 1 + 1). -21*c**3 + 4*c**2 Expand ((8 - 1 - 9)*(1 - 1 - 1) + 4 + 0 - 1)*(26*y + 216*y - 1 - 25*y). 1085*y - 5 Expand ((1 - 5 + 3)*(-1 + 3 + 0) - 5 + 1 + 3 + 1 - 1 - 2)*(93*c + 26*c + 58*c) + (-1 + 0 + 2)*(4*c + 0 + 0). -881*c Expand (-l + 2*l + l)*(6 - 2 - 2) + 46*l + 1022 - 618 - 496. 50*l - 92 Expand (4 - 2 + 0)*(-3*b + 3*b + 4*b) - 33 + 45 - 12 + 3109*b. 3117*b Expand -21 - 20*s + 21 + 161*s - 137 - 303*s + 143*s + 1 - 1 + 2*s + (3*s + s - 2*s)*(2 + 1 - 5). -21*s - 137 Expand (-289*k**2 + 25*k**2 - 172*k**2)*(-3 + 3 + 2*k + k - 2*k + 2*k + (-k + k + 2*k)*(4 - 1 - 1) - 4 - k + 4 + 0*k + 4*k - 6*k). -1744*k**3 Expand (466*o**2 - 167*o**2 - 232*o**2)*(6*o**3 - 346*o + 346*o) + 1 - 4*o**5 + 3*o**5 + 3*o - 2*o - o**2. 401*o**5 - o**2 + o + 1 Expand (-7 + 5*t + 7)*(-3*t + 0*t + 4*t)*(30*t + 12*t - 8*t). 170*t**3 Expand (-2*o**3 + 3*o**3 + o**3)*(10208 + 710 - 1769 + 5 + 762 + 10034). 39900*o**3 Expand (0*j + 0*j - 5*j)*(-j**2 + j**2 + j**3) - 10*j + 3*j**4 + 10*j - 9*j**3 - 2*j**4 + 9*j**3 - j**4 - 5*j + 5*j + (0*j**3 + 0*j**3 - 2*j**4)*(-2 - 1 + 2). -3*j**4 Expand -5 + 2*r + 5 + (7*r - 2*r - 4*r)*(-4 + 2 + 0) + 2*r - 3*r + 0*r - 1617*r + 3369*r - 1060*r. 691*r Expand (-4*b**2 + 2*b**2 + b**2 + (0*b - b - b)*(-b + 2*b - 3*b) + (-3*b - b + 3*b)*(-b - 4*b - 2*b))*(29 + 88 + 63). 1800*b**2 Expand (2*l - 2*l - l**2)*(-32*l - 6*l - l) + (0 + 0 + 2*l**2)*(-59 - 16*l + 59). 7*l**3 Expand (229*i + 4810*i +
{ "pile_set_name": "DM Mathematics" }
y 97? 0 What is the remainder when 71127 is divided by 342? 333 Calculate the remainder when 266741 is divided by 1375. 1366 Calculate the remainder when 2616 is divided by 313. 112 Calculate the remainder when 5120 is divided by 25. 20 What is the remainder when 2422 is divided by 56? 14 Calculate the remainder when 3111 is divided by 58. 37 What is the remainder when 384478 is divided by 3627? 16 What is the remainder when 6860 is divided by 1058? 512 What is the remainder when 930 is divided by 886? 44 Calculate the remainder when 602 is divided by 436. 166 Calculate the remainder when 2527 is divided by 88. 63 Calculate the remainder when 19995 is divided by 309. 219 What is the remainder when 14944 is divided by 94? 92 What is the remainder when 1815616 is divided by 311? 309 Calculate the remainder when 5590 is divided by 234. 208 Calculate the remainder when 4283 is divided by 597. 104 Calculate the remainder when 38277 is divided by 1234. 23 Calculate the remainder when 2596 is divided by 114. 88 Calculate the remainder when 3678 is divided by 47. 12 What is the remainder when 16522 is divided by 459? 457 What is the remainder when 12407 is divided by 230? 217 Calculate the remainder when 15898 is divided by 15884. 14 What is the remainder when 43889 is divided by 7? 6 What is the remainder when 1843 is divided by 265? 253 What is the remainder when 258960 is divided by 1251? 3 Calculate the remainder when 106623 is divided by 544. 543 Calculate the remainder when 6916 is divided by 117. 13 What is the remainder when 950 is divided by 28? 26 What is the remainder when 103034 is divided by 209? 206 What is the remainder when 23324 is divided by 377? 327 What is the remainder when 4650 is divided by 423? 420 What is the remainder when 469291 is divided by 642? 631 What is the remainder when 70055 is divided by 20? 15 Calculate the remainder when 2454 is divided by 1199. 56 What is the remainder when 87806 is divided by 190? 26 What is the remainder when 123834 is divided by 172? 166 Calculate the remainder when 241342 is divided by 30166. 14 What is the remainder when 5179 is divided by 108? 103 What is the remainder when 884723 is divided by 44? 15 Calculate the remainder when 35332 is divided by 63. 52 Calculate the remainder when 2813 is divided by 254. 19 Calculate the remainder when 1088 is divided by 772. 316 Calculate the remainder when 111578 is divided by 922. 16 What is the remainder when 56347 is divided by 18? 7 What is the remainder when 23476 is divided by 391? 16 Calculate the remainder when 71401 is divided by 2956. 457 Calculate the remainder when 6574 is divided by 20. 14 What is the remainder when 755634 is divided by 45? 39 What is the remainder when 7457 is divided by 2466? 59 Calculate the remainder when 1140739 is divided by 1914. 1909 What is the remainder when 4765 is divided by 370? 325 What is the remainder when 13304 is divided by 3317? 36 What is the remainder when 7588 is divided by 840? 28 Calculate the remainder when 601 is divided by 87. 79 What is the remainder when 98711 is divided by 25? 11 What is the remainder when 2692 is divided by 11? 8 Calculate the remainder when 18998 is divided by 2684. 210 What is the remainder when 50771 is divided by 634? 51 What is the remainder when 817 is divided by 399? 19 Calculate the remainder when 709861 is divided by 13. 9 What is the remainder when 4787 is divided by 651? 230 What is the remainder when 1062885 is divided by 25? 10 What is the remainder when 2087 is divided by 688? 23 Calculate the remainder when 136819 is divided by 609. 403 Calculate the remainder when 5692 is divided by 445. 352 Calculate the remainder when 36156 is divided by 383. 154 Calculate the remainder when 793120 is divided by 158620. 20 Calculate the remainder when 260 is divided by 126. 8 What is the remainder when 130136 is divided by 10009? 19 What is the remainder when 367494 is divided by 25? 19 Calculate the remainder when 3825 is divided by 1098. 531 What is the remainder when 2761 is divided by 605? 341 Calculate the remainder when 947 is divided by 41. 4 What is the remainder when 8226 is divided by 1369? 12 Calculate the remainder when 47369 is divided by 3947. 5 Calculate the remainder when 100369 is divided by 23. 20 Calculate the remainder when 3482692 is divided by 28. 24 What is the remainder when 28427 is divided by 12? 11 What is the remainder when 5426 is divided by 555? 431 What is the remainder when 53759 is divided by 168? 167 What is the remainder when 232712 is divided by 324? 80 What is the remainder when 431560 is divided by 148? 140 Calculate the remainder when 31232 is divided by 3123. 2 Calculate the remainder when 6129 is divided by 1968. 225 Calculate the remainder when 7136 is divided by 1752. 128 What is the remainder when 410909 is divided by 205450? 9 What is the remainder when 350 is divided by 143? 64 What is the remainder when 4703 is divided by 266? 181 What is the remainder when 1697 is divided by 331? 42 Calculate the remainder when 27161 is divided by 1595. 46 Calculate the remainder when 63302 is divided by 1919. 1894 Calculate the remainder when 50386 is divided by 43. 33 Calculate the remainder when 11682 is divided by 5841. 0 What is the remainder when 70811 is divided by 9? 8 Calculate the remainder when 4975 is divided by 90. 25 Calculate the remainder when 8606 is divided by 14. 10 Calculate the remainder when 11644 is divided by 353. 348 What is the remainder when 199494 is divided by 73? 58 Calculate the remainder when 56222 is divided by 721. 705 What is the remainder when 2084 is divided by 869? 346 Calculate the remainder when 1839 is divided by 313. 274 What is the remainder when 2285 is divided by 145? 110 What is the remainder when 4053 is divided by 5? 3 What is the remainder when 179938 is divided by 29? 22 Calculate the remainder when 4946 is divided by 2195. 556 What is the remainder when 44516 is divided by 44499? 17 What is the remainder when 40662 is divided by 428? 2 Calculate the remainder when 1080 is divided by 527. 26 Calculate the remainder when 22636 is divided by 3232. 12 Calculate the remainder when 1471 is divided by 385. 316 Calculate the remainder when 46346 is divided by 103. 99 Calculate the remainder when 11309 is divided by 2820. 29 What is the remainder when 1196 is divided by 399? 398 Calculate the remainder when 45816 is divided by 58. 54 What is the remainder when 13420 is divided by 498? 472 Calculate the remainder when 60751 is divided by 21. 19 What is the remainder when 23569 is divided by 83? 80 Calculate the remainder when 18825 is divided by 222. 177 What is the remainder when 61610 is divided by 14? 10 Calculate the remainder when 22507 is divided by 22490. 17 What is the remainder when 18507 is divided by 83? 81 Calculate the remainder when 102905 is divided by 402. 395 What is the remainder when 13818 is divided by 153? 48 What is the remainder when 4741 is divided by 4734? 7 Calculate the remainder when 15880 is divided by 2643. 22 Calculate the remainder when 5273 is divided by 647. 97 Calculate the remainder when 13618 is divided by 1322. 398 What is the remainder when 2777 is divided by 104? 73 Calculate the remainder when 22264 is divided by 3179. 11 What is the remainder when 6059 is divided by 3022? 15 Calculate the remainder when 22811 is divided by 7. 5 Calculate the remainder when 70558 is divided by 70513. 45 What is the remainder when 6619 is divided by 1057? 277 Calculate the remainder when 340 is divided by 50. 40 Calculate the remainder when 47349 is divided by 5917. 13 What is the remainder when 66752 is divided by 312? 296 Calculate the remainder when 429912 is divided by 19. 18 What is the remainder when 31408 is divided by 353? 344 What is the remainder when 2399 is divided by 275? 199 Calculate the remainder when 27339 is divided by 3876. 207 Calculate the remainder when 7960 is divided by 1286. 244 What is the remainder when 7833 is divided by 7476? 357 Calculate the remainder when 24680 is divided by 19. 18 What is the remainder when 236303 is divided by 216? 215 What is the remainder when 90771 is divided by 6982? 5 Calculate the remainder when 60539 is divided by 156
{ "pile_set_name": "DM Mathematics" }
Put -5, -1, 413, 53 in increasing order. -5, -1, 53, 413 Put 6, -91, 0.18, 0.5, -4 in ascending order. -91, -4, 0.18, 0.5, 6 Put -28, 3, -5306 in descending order. 3, -28, -5306 Sort 16, -3.4, -0.9, 5, -0.5, -3/8. -3.4, -0.9, -0.5, -3/8, 5, 16 Sort 2/15, -0.4, -131.86, -4, 5 in descending order. 5, 2/15, -0.4, -4, -131.86 Put 80, -2, 3, -1, 362 in descending order. 362, 80, 3, -1, -2 Sort -374, -0.2, -0.158, 2/9 in decreasing order. 2/9, -0.158, -0.2, -374 Put -4, 15, 3, 148, 0 in ascending order. -4, 0, 3, 15, 148 Sort 7, 229, -37, -4 in decreasing order. 229, 7, -4, -37 Put 4, 33, 38, -5 in descending order. 38, 33, 4, -5 Sort 4, -2, -15, -1, 158, -9 in ascending order. -15, -9, -2, -1, 4, 158 Put 12, -78, 14, -2 in decreasing order. 14, 12, -2, -78 Sort -0.646, -0.12, -0.3, 0, 2 in descending order. 2, 0, -0.12, -0.3, -0.646 Sort -745, 2146, -4 in decreasing order. 2146, -4, -745 Put -0.23, 0.4, -1, -3, -29, 0.2 in descending order. 0.4, 0.2, -0.23, -1, -3, -29 Put 0, 0.2, -0.035, -1/3, 18 in ascending order. -1/3, -0.035, 0, 0.2, 18 Sort -6, -1, 0, -117 in descending order. 0, -1, -6, -117 Sort 7054, 79, -3, 4. -3, 4, 79, 7054 Put 232, -2, -59 in increasing order. -59, -2, 232 Sort 2, 1, -4, 5, 3, 0 in increasing order. -4, 0, 1, 2, 3, 5 Sort 6, -11, -215 in decreasing order. 6, -11, -215 Sort -2, -4, -87, 88. -87, -4, -2, 88 Put -1/4, 81, 4, -3 in increasing order. -3, -1/4, 4, 81 Sort -3, 14, 0, 82, 5 in descending order. 82, 14, 5, 0, -3 Sort 12, -677, -6, 1, -5 in descending order. 12, 1, -5, -6, -677 Put 3/11, -1/5, 5, 1, -3, -0.6 in decreasing order. 5, 1, 3/11, -1/5, -0.6, -3 Put -1934, 0, 36, -1 in descending order. 36, 0, -1, -1934 Sort 8, -2, -1, 4, 2. -2, -1, 2, 4, 8 Sort 5, 0, -2/3, 3.64. -2/3, 0, 3.64, 5 Sort 0, -4, -1422 in ascending order. -1422, -4, 0 Sort -5, -960, 5, -1, -2 in descending order. 5, -1, -2, -5, -960 Sort 0.24, -928, 0 in ascending order. -928, 0, 0.24 Put -1, -1165, -5 in decreasing order. -1, -5, -1165 Put 1/7, -489, -22, 1 in descending order. 1, 1/7, -22, -489 Sort 3, -2, -3, -1/8, 25/2, 5 in increasing order. -3, -2, -1/8, 3, 5, 25/2 Put -4, 12, -2, -27, 0, -12 in increasing order. -27, -12, -4, -2, 0, 12 Sort -2, -5, 0.1, -0.102, 5 in descending order. 5, 0.1, -0.102, -2, -5 Sort 10, 4, -3, -18749. -18749, -3, 4, 10 Sort 172, 27/7, -5 in descending order. 172, 27/7, -5 Sort -2/11, 2/5, 2/60817, 0.3 in ascending order. -2/11, 2/60817, 0.3, 2/5 Put -6, -4, 3364 in descending order. 3364, -4, -6 Sort 7, 57, 0, 562, -5. -5, 0, 7, 57, 562 Sort -4, 0.02, -0.3, -29, -1/2, 2. -29, -4, -1/2, -0.3, 0.02, 2 Sort -1.5, -2, -0.04187, 1 in decreasing order. 1, -0.04187, -1.5, -2 Put 1/16, -2/5, -1/20, 8, -2/3 in decreasing order. 8, 1/16, -1/20, -2/5, -2/3 Sort 1, -785, -7 in decreasing order. 1, -7, -785 Sort 5, -1, -65, 184. -65, -1, 5, 184 Sort -4, 0, 25, 4993 in descending order. 4993, 25, 0, -4 Put 3, -214/19, 1/50 in ascending order. -214/19, 1/50, 3 Put 0, 922/7, -2/13 in decreasing order. 922/7, 0, -2/13 Put -0.1, -1, 3/5, 21, 0.28, 3/43 in descending order. 21, 3/5, 0.28, 3/43, -0.1, -1 Put 4, 47, -1/4, 18, -7/3 in ascending order. -7/3, -1/4, 4, 18, 47 Sort 0.5, -35, 0, -2, -1, 469/4 in decreasing order. 469/4, 0.5, 0, -1, -2, -35 Put -5, -0.37, 846 in descending order. 846, -0.37, -5 Sort -5, 24, -292 in increasing order. -292, -5, 24 Sort 267, -4, -1170 in descending order. 267, -4, -1170 Sort -1218, 96, -2. -1218, -2, 96 Put 39, 2, 5, -329, -9 in descending order. 39, 5, 2, -9, -329 Sort -383, 1.1, 17. -383, 1.1, 17 Sort 1, 5, 15397, -3 in increasing order. -3, 1, 5, 15397 Put 7, 24, 11, -18 in decreasing order. 24, 11, 7, -18 Sort 5, -14, -5, -60 in decreasing order. 5, -5, -14, -60 Sort 3, 19, 1, -3/25 in ascending order. -3/25, 1, 3, 19 Sort -927, -2.6, -65 in decreasing order. -2.6, -65, -927 Put -7, 2, -5, 60, -9 in increasing order. -9, -7, -5, 2, 60 Sort 12, 302, 5, 37 in increasing order. 5, 12, 37, 302 Sort -2/9, 1359, -0.004 in descending order. 1359, -0.004, -2/9 Sort 4, 2, 316517 in descending order. 316517, 4, 2 Sort -1, 5, -2, -744, -5, 3 in ascending order. -744, -5, -2, -1, 3, 5 Sort -22, 7, 4, 97 in decreasing order. 97, 7, 4, -22 Sort -4, -7, -1, 4, -5, -458 in descending order. 4, -1, -4, -5, -7, -458 Put 4, 13, -2/5, 31, 2 in ascending order. -2/5, 2, 4, 13, 31 Sort 0.5, -43, 5, -3, -2, 4 in descending order. 5, 4, 0.5, -2, -3, -43 Sort -2/11, -1/5, -183/622 in increasing order. -183/622, -1/5, -2/11 Put 10, -13, -0.5, 4/3 in increasing order. -13, -0.5, 4/3, 10 Sort -2, -13, 3, 28, 19, -4 in descending order. 28, 19, 3, -2, -4, -13 Sort -3, -42, -0.06, 0.3, -20, 4/5 in increasing order. -42, -20, -3, -0.06, 0.3, 4/5 Put 1, -19, -0.3, 0.641, -1/4 in decreasing order. 1, 0.641, -1/4, -0.3, -19 Put 2, -2, -306333 in decreasing order. 2, -2, -306333 Sort -17, -2469, -3 in descending order. -3, -17, -2469 Sort -114/17, -0.3, 2211 in descending order. 2211, -0.3, -114/17 Sort -2, 132, -9, -11, 3, 1 in descending order. 132, 3, 1, -2, -9, -11 Sort -9, 5/6, -4 in ascending order. -9, -4, 5/6 Sort -1, 0, -4/3, -2767. -2767, -4/3, -1, 0 Sort 1, 478, -5, -4. -5, -4, 1, 478 Put 1/5, -3, -2, 16, 4 in increasing order. -3, -2, 1/5, 4, 16 Sort -37, 1, -13, 63. -37, -13, 1, 63 Sort -2/1645, 0, 0.11, 4, 0.4 in decreasing order. 4, 0.4, 0.11, 0, -2/1645 Sort 0, -12.78, -2/9, -5/7. -12.78, -5/7, -2/9, 0 Sort -114, -74, -4, 5, 1 in decreasing order. 5, 1, -4, -74, -114 Put -1, 11, 13 in ascending order. -1, 11, 13 Put 11, 0.06, -5, 303 in decreasing order. 303, 11, 0.06, -5 Put -165, -6, -4 in decreasing order. -4, -6, -165 Sort -3/10, -4, 5/6, -5, -2/11. -5, -4, -3/10, -2/11, 5/6 Sort -2/5, -1731, 0.06, 0.5 in decreasing order. 0.5, 0.06, -2/5, -1731 Sort 14, -1, 3652 in decreasing order. 3652, 14, -1 Sort 981, -8, 5, 3 in descending order. 981, 5, 3, -8 Sort -4, 4137, 3, 5, 2 in descending order. 4137, 5, 3, 2, -4 Put 5, -1, -8, -10, 9 in decreasing order. 9, 5, -1, -8, -10 Put -7, 3, -330, 2, -1 in increasing order. -330, -7, -1, 2, 3 Put -16902, 4, -3, 3 in descending order. 4, 3, -3, -16902 Sort -5032, 3, 5 in decreasing order. 5, 3, -5032 Put -18/5, -2, -1/3, 4, 308 in descending order. 308, 4, -1/3, -2, -18/5 Sort 5, 11540, -3 in decreasing order. 11540, 5, -3 Put -3, -5, -178616 in descending order. -3, -5, -178616 Put 2/7, -5, -2/3, 0.9 in decreasing order. 0.9, 2/7, -2/3, -5 Sort 5, -10693, -4 in descending order. 5, -4, -10693 Sort -16, 5, -6, -43, -1, 3 in descending order. 5, 3, -1, -6, -16, -43 Sort -4, -8, 1417, -5 in increasing order. -8, -5, -4, 1417 Put -6, -42, 28 in descending order. 28, -6, -42 Sort -1/6, -0.3, -4353, -3/8 in descending order. -1/6, -0.3, -3/8, -4353 Put 1321, 3, 8 in ascending order. 3, 8, 1321 Sort 4, -2, 367, -11 in ascending order. -11, -2, 4, 367 Sort 0, -15, 4, -5, 120 in decreasing order. 120, 4, 0, -5, -15 Sort -21, 23, 11. -21, 11, 23 Put -14, 3/4, -0.2, 0.46 in increasing order. -14, -0.2, 0.46, 3/4 Sort 10, 2, -28, -18 in increasing order. -28, -18, 2, 10 Sort 2/9, 0.4, 5/2, -1/12, 5 in decreasing order. 5, 5/2, 0.4, 2/9, -1/12 Sort 0.04518, 13, 1/4 in increasing order. 0.04518, 1/4, 13 Put -188, -1/3, -0.4 in descending order. -1/3, -0.4, -188 Sort 0, -1, 1, 29, -30, -23. -30, -23, -1, 0, 1, 29 Put -2, 4, 5, -8454, -5 in descending order. 5, 4, -2, -5, -8454 Put -2, -1233, 22, 5 in increasing order. -1233, -2, 5, 22 Put -28, 15, 2 in descending order. 15, 2, -28 Sort -3, 3, 14, 0, 19 in descending order. 19, 14, 3, 0, -3 Sort -5/4, 2/11, -11, -0.32, 1/3 in decreasing order. 1/3, 2/11, -0.32, -5/4, -11 Put 20, 6, -3, -4, 156, -5 in descending order. 156, 20, 6, -3, -4, -5 Put -5, 300, -15, -3 in descending order. 300, -3, -5, -15 Put 3, 0.5, -0.3, 2/175797 in increasing order. -0.3, 2/175797, 0.5, 3 Sort 0.368, -87, -4, 0.01. -87, -4, 0.01, 0.368 Sort -27542, 0, -2, -1 in decreasing order. 0, -1, -2, -27542 Sort -0.3, 1/2, -5, 1.75, -2, 0 in decreasing order. 1.75, 1/2, 0, -0.3, -2, -5 Sort 1357, -3, -28 in ascending order. -28, -3, 1357 Put 4, -1, 2783 in decreasing order. 2783, 4, -1 Put 3, -193199, -4 in ascending order. -193199, -4, 3 Put 2/15, -5, -0.3, 31.1, -0.2 in decreasing order. 31.1, 2/15, -0.2, -0.3, -5 Sort -6, 5, 127, -2049 in descen
{ "pile_set_name": "DM Mathematics" }
Let h be (4 + (81/(-8) - -5))/3. Which is the closest to 0.1? (a) 1 (b) 18 (c) h c Let r = -5.1 + 5. Let k = -0.6153 + 0.2153. What is the closest to r in 3, -5/4, k? k Let p = -42 + 42. Let s = -0.04 - 0.26. Let k = 0.4 + -0.3. What is the nearest to p in 0, s, k? 0 Let n = 0.4 + -0.2. Let d = 46 + -78. Let z = d - -33. Which is the nearest to n? (a) z (b) -5 (c) 4 a Let u be (-2)/6 + (-2)/(-6). Let n = 643 + -642.9. Which is the closest to n? (a) -1/7 (b) u (c) 1 b Let j be (0 - -2 - 2) + -4. Let f = j + 0. Let t(g) = 2*g**2 + 38*g + 35. Let h be t(-18). What is the closest to h in -1/4, -1/5, f? -1/4 Let g = 65/7 - 9. Let m = 0.49 - 0.49. Which is the nearest to m? (a) g (b) -0.5 (c) 5 a Let g(u) = u**2 + 7*u + 6. Let f be g(-6). Suppose f = 2*t - 5*t - 3. Let n = 2 + -2. Which is the closest to n? (a) 0 (b) -6/11 (c) t a Let h be (-75)/90 + 2*26/48. What is the nearest to 4 in -0.5, -0.4, h? h Let i = -0.2 + -0.3. Let n = -7.6958 + -0.3042. Which is the nearest to -1? (a) i (b) n (c) -1 c Let g be -4 - 36*(413/(-196) + 2). What is the nearest to 0.4 in -2/23, 0.06, g? 0.06 Let l be -1 - (106/(-328))/(5/10). Let n = l - 6/41. What is the closest to n in -0.3, 38, -5? -0.3 Let z = 377 - 376.5. What is the nearest to 1/4 in -11, 4, z? z Let k = 9 + -14. Let n = -22.07 + 19.07. Let w = -1 - -2. What is the closest to w in 2/7, k, n? 2/7 Let w = 62253/7 + -8893. Suppose -4*v = -5*v. Which is the nearest to v? (a) w (b) 3 (c) 5 a Let f = -558 + 558. Which is the closest to f? (a) -1/5 (b) -0.189 (c) 3 b Let z = 1103.9 + -1051. Let s = z + -53. Which is the closest to 1? (a) -3 (b) 2/13 (c) s b Let v = -0.39 - 2.51. Let h = v - -3.11. Let u = 0.01 - h. Which is the closest to u? (a) -3/2 (b) -1 (c) 1/4 c Let f be ((-39)/(-15) + -3)*(-10)/(-26). Let k = -1.9 + 2. Let s = k + -1.1. What is the nearest to s in 0.2, f, 0? f Let s be 20/(-25)*(-85)/34. What is the closest to 4 in s, -0.3, -1/3, 1/2? s Let g = 121.8 - 122. Which is the nearest to -1? (a) g (b) 5 (c) 2/9 a Let j = 15 + -16. Let m = 17.72 + 0.28. Let q = -17.5 + m. What is the closest to 1 in j, 4, q? q Let i = -26 + 30. Let w be 12/i + (-26)/10. What is the closest to -5 in 4, w, 1/8? 1/8 Let h = 4028/5 - 806. Which is the nearest to 5? (a) 5 (b) h (c) 1 a Let g = -9 - -8.7. Let v = 0.9 + 19.1. Let b = v - 20. What is the closest to 1 in g, -0.4, b? b Let m be ((-1)/(-6))/(-1)*4. Let j = -7/20 + 1/10. Let f be 20/(-72) - ((-28)/(-8))/(-7). Which is the nearest to 0? (a) f (b) m (c) j a Let a = -491 + 489. What is the nearest to 1 in a, 0.06, -3, 0? 0.06 Suppose 0 = -3*o + 10*o + 21. What is the nearest to o in -5, 0.3, -0.01? -5 Let y be 2/(-3) + 14/12. Let o = 8 + -7. Let p be 1/((-20)/(-6) + -4). Which is the nearest to y? (a) 3/4 (b) o (c) p a Let l be (-4 - -3)/(2/(-10)). Let k = -3.1 - -3. Let v = 3114/7 - 6221/14. Which is the nearest to k? (a) 4 (b) l (c) v c Let j be ((-1)/(-5))/((-4)/(-5)). What is the closest to 2 in 2/3, 1/2, j? 2/3 Suppose -u = 5*g + 2*u + 77, u = 1. Let z be (g/(-192))/(2/6). Let y = -3 - -6. What is the nearest to 0.1 in z, 5, y? z Let u be ((-4)/(-6))/(-5 + 153/27). Which is the nearest to 2? (a) -0.1 (b) -4 (c) u (d) 0.5 c Suppose -5*v - 5 = -5*o, 5*v + 16 - 1 = 0. What is the nearest to -6 in o, -0.3, -1/4? o Let v = 10 + -12. Let w = -20 - -20.18. Let s = w - -4.82. Which is the closest to v? (a) s (b) -3 (c) -3/8 b Let l = 0.5 + -0.5. Let q be 36/54*1*(-1)/5. What is the nearest to 0 in -4, l, q? l Suppose -2*v + 6*v = -4*v. Which is the nearest to -3? (a) -3 (b) 2.4 (c) 1/2 (d) v a Suppose -2*f = -f - 5. Let x = 4.499 + -4.699. Let w(l) = 3*l + 1. Let m be w(-1). Which is the closest to m? (a) f (b) x (c) 3/4 b Let j = 1362 + -1362.5. What is the closest to -0.1 in j, 6, -48? j Let r = -0.8 + 1.2. Let a = r - -0.1. Let y be -3 - (-38)/14 - 0. What is the nearest to y in -2/13, a, 4? -2/13 Let o = 5/22 + 3/11. Suppose 0 = -3*s - s + 5*p + 44, s + 3*p = -6. Suppose s*t - 8*t = -4. What is the closest to o in 4, t, -2/5? -2/5 Let x = 111.47 + -111. Let q = x + -0.27. Which is the nearest to -2? (a) -0.1 (b) 4 (c) q a Let l = -73 + 90.1. Let k = -16 + l. Let y = k + -1.5. Which is the nearest to 0? (a) -0.03 (b) y (c) -0.3 a Let v = -1/118 - -475/354. Let c = -0.46 + 0.16. Let z = -0.2 - c. What is the nearest to z in v, -4, -5? v Let p = -24 - -118/5. Let i = p + 1/15. What is the closest to -0.3 in 0, i, 0.2? i Let y = 0.372 + -0.672. What is the nearest to -1/3 in y, -2, -12, -3/4? y Let r = -583 + 583.2. Which is the nearest to 0.1? (a) -2 (b) -2/3 (c) r (d) -0.1 c Let b = 0.209 + 0.791. What is the closest to b in 5, 1/16, -2/7? 1/16 Let f(n) = 0 + 0 - n - 1 - 3. Let m be f(-8). What is the closest to -1 in 1/8, m, -3? 1/8 Suppose -59*n + 188 - 11 = 0. Let q = -3 - -3.2. What is the nearest to 8 in n, 0.4, q? n Let z = -21.16 + 21. Let c = z - 14.84. Let d = c - -16. What is the nearest to d in 2/9, 0.4, -3? 0.4 Let o = 29 - 28. Let t = -113/2 - -58. Which is the nearest to 0.2? (a) -0.4 (b) t (c) o a Let v = 754 + -758. Which is the nearest to 4? (a) v (b) -1 (c) 3 c Let j = -91 + 545/6. Let q = -330 + 330.4. Let u = -13.9 + 14. Which is the closest to -1? (a) q (b) j (c) u b Let d = -7.4 + 1.4. Let x = 4 + d. Let q = -8 - x. What is the closest to q in 0.5, 2/11, -2/3? -2/3 Let g = -83.1 + 87. Let x = 0.9 - g. Let s = -9.1 + 7.1. Which is the nearest to s? (a) -2/7 (b) x (c) 1 b Let d = -236 + 237. Which is the nearest to d? (a) -4 (b) 2/27 (c) 1 c Let o = 1.8706 - -0.1294. What is the nearest to -1 in o, 4, -2? -2 Let k = 43.8 + -43.8. What is the nearest to k in 3, -1, 37? -1 Let x = 53/58 - 12/29. Which is the nearest to x? (a) 0.3 (b) 2 (c) 2/51 a Let n = -0.017 - 0.483. Let w = 1 + 0. Which is the nearest to 1? (a) w (b) -5 (c) n a Let j = -32 + 37. Suppose 0 = 5*m + j*m + 50. What is the nearest to 2 in 0, m, -0.06? 0 Suppose 44*m + 327 - 195 = 0. Which is the nearest to 0.9? (a) m (b) 8 (c) -4 a Let i be 28/147*3/(-2). Suppose 2*f = 7*f - 15. Suppose -3*v = -p + 4, v + 0*p + f*p - 2 = 0. Which is the closest to i? (a) 0.3 (b) -4/7 (c) v b Let m = 4221/2 + -2109. Which is the closest to -0.1? (a) -0.04 (b) 2 (c) m (d) -4 a Let p = -233.3 + 232.9. What is the closest to 0.2 in p, 2, 4/7? 4/7 Let l = -0.21 - 0.79. Let x = 0.04 - 0.34. Which is the closest to -1? (a) l (b) x (c) 0.3 a Let k = 257/2 + -8737/68. Let a = 37/204 - k. What is the closest to -2/7 in a, 1/7, 1? 1/7 Let k = -1/20 + -13/140. Let m = k + 23/14. Which is the closest to 2? (a) 2/15 (b) m (c) 2 c Let n = -701 - -696. What is the closest to -0.1 in n, 6, 0, 2? 0 Let q = 114 + -117. Which is the closest to q? (a) 3/2 (b) 0.4 (c) 5 (d) 1/6 d Let v = -2.98 - 0.02. Let s = 468/35 - 95/7. What is the nearest to 0.05 in -0.5, v, s? s Let g be -2*(-45)/(-10) + 6. What is the closest to 8 in -2, 2, g, 1/7? 2 Let d = 5.092 + -0.092. Let v = 3/11 + 49/22. Which is the nearest to -0.1? (a) v (b) -1 (c) d b Let g = -0.61 - -0.51. Which is the closest to g? (a) -1/7 (b) 4/3 (c) -3/4 (d) 0.1 a Let g = 0.503 + -0.603. Which is the nearest to g? (a) 0.4 (b) 2 (c) 0.1 (d) 4/3 c Let j = -820413/877276 + 398/3089. Let i = j + 4/71. Suppose 2*o - 16 = -2*l - 6, 0 = l - 5*o + 1. Which is the closest to 2? (a) 0.5 (b) l (c) i a Let h be ((-4)/2)/(2/(-4)). Let z be (6/(4 - -26))/(2/h). Which is the nearest to -1? (a) -5/4 (b) z (c) 4 a Let q = -4.953 - -0.653. Which is the closest to q? (a) 3 (b) -2/9 (c) 0.3 b Let q = 5 + -2. Let w be 18/36 - (-9)/(-10). Let m be 3*-1*2/14. Which is the closest to 0.1? (a) m (b) q (c) w c Let j = -612 - -1838/3. What is the nearest to j in -0.3, -0.46, -4? -0.3 Let j be -4 + 12 + (-6)/3. Suppose 2*n - j = -4*n. Which is the nearest to -3? (a) -0.2 (b) n (c) -2/3 c Let j = 0.8 + -1. Let i be (-1)/(-2) - 9/10. Let p = 9317/13971 - 1/4657. Which is the closest to i? (a) p (b) j (c) 0.1 b Let z be -11*((-84)/(-82) + -1). Let f = z + 1471/287. Let p = f + -47/14. What is the nearest to 2/5 in p, -2/13, 0.4? 0.4 Let i = -793/2710 + -2/271. Let l = -383 + 383.1. What is the closest to l in i, 1/8, -2/9? 1/8 Suppose -a + 6*l + 5
{ "pile_set_name": "DM Mathematics" }
he c'th term of 1518, 3044, 4582, 6138, 7718, 9328, 10974, 12662? c**3 + 1519*c - 2 What is the b'th term of 7, 32, 89, 190, 347, 572, 877? 2*b**3 + 4*b**2 - b + 2 What is the w'th term of 0, -52, -108, -168, -232, -300? -2*w**2 - 46*w + 48 What is the k'th term of 237, 233, 229, 225, 221, 217? -4*k + 241 What is the l'th term of 16, 22, 38, 70, 124, 206, 322, 478? l**3 - l**2 + 2*l + 14 What is the u'th term of 446, 448, 450, 452? 2*u + 444 What is the p'th term of -209, -419, -629? -210*p + 1 What is the q'th term of 161, 767, 1769, 3161, 4937? -q**3 + 204*q**2 + q - 43 What is the v'th term of 8, 47, 120, 227, 368? 17*v**2 - 12*v + 3 What is the a'th term of 150, 159, 172, 189, 210? 2*a**2 + 3*a + 145 What is the i'th term of 18, 35, 56, 81, 110, 143, 180? 2*i**2 + 11*i + 5 What is the b'th term of 411, 820, 1229? 409*b + 2 What is the i'th term of -1, -5, -9, -13, -17, -21? -4*i + 3 What is the n'th term of -73, -146, -221, -298, -377, -458? -n**2 - 70*n - 2 What is the f'th term of 3159, 3153, 3147, 3141, 3135, 3129? -6*f + 3165 What is the j'th term of 205, 429, 653, 877? 224*j - 19 What is the q'th term of 43, 77, 115, 157, 203, 253? 2*q**2 + 28*q + 13 What is the z'th term of 29, 120, 275, 494, 777? 32*z**2 - 5*z + 2 What is the x'th term of -384, -606, -830, -1056? -x**2 - 219*x - 164 What is the g'th term of 20, 35, 56, 83? 3*g**2 + 6*g + 11 What is the k'th term of -27, -42, -59, -78, -99, -122, -147? -k**2 - 12*k - 14 What is the c'th term of -677, -667, -657, -647? 10*c - 687 What is the h'th term of 1819, 1812, 1815, 1834, 1875, 1944, 2047? h**3 - h**2 - 11*h + 1830 What is the n'th term of -1614, -1626, -1660, -1728, -1842, -2014, -2256? -2*n**3 + n**2 - n - 1612 What is the h'th term of -17, -142, -499, -1208, -2389, -4162? -20*h**3 + 4*h**2 + 3*h - 4 What is the d'th term of 194, 384, 574, 764? 190*d + 4 What is the d'th term of -6, -43, -142, -333, -646, -1111? -5*d**3 - d**2 + d - 1 What is the k'th term of -8, -47, -104, -173, -248, -323, -392, -449? k**3 - 15*k**2 - k + 7 What is the v'th term of 26, 49, 72, 95, 118? 23*v + 3 What is the o'th term of 9, 10, 9, 6, 1, -6, -15? -o**2 + 4*o + 6 What is the b'th term of 1395, 1400, 1417, 1452, 1511, 1600, 1725, 1892? b**3 - 2*b + 1396 What is the k'th term of -23, -20, -17, -14? 3*k - 26 What is the l'th term of 2200, 2198, 2194, 2188, 2180? -l**2 + l + 2200 What is the o'th term of 69475, 69476, 69477, 69478, 69479? o + 69474 What is the l'th term of 1623, 3246, 4865, 6480, 8091? -2*l**2 + 1629*l - 4 What is the c'th term of 5, 34, 111, 260, 505, 870, 1379? 4*c**3 + c What is the o'th term of -561, -1138, -1725, -2328, -2953, -3606? -o**3 + o**2 - 573*o + 12 What is the b'th term of -19, -138, -461, -1090, -2127, -3674? -17*b**3 - 2 What is the v'th term of -27, -22, -17? 5*v - 32 What is the f'th term of -2220, -2215, -2202, -2175, -2128, -2055, -1950, -1807? f**3 - 2*f**2 + 4*f - 2223 What is the w'th term of -12, 2, 16, 30, 44? 14*w - 26 What is the t'th term of -11639, -11640, -11641? -t - 11638 What is the v'th term of 3, 9, 13, 9, -9, -47, -111? -v**3 + 5*v**2 - 2*v + 1 What is the n'th term of -323, -318, -313, -308? 5*n - 328 What is the u'th term of 1166, 4674, 10522, 18710, 29238, 42106, 57314? 1170*u**2 - 2*u - 2 What is the s'th term of 98, 203, 312, 425? 2*s**2 + 99*s - 3 What is the a'th term of 491, 995, 1501, 2009, 2519? a**2 + 501*a - 11 What is the h'th term of 1418, 2833, 4248? 1415*h + 3 What is the b'th term of 40488, 40487, 40486? -b + 40489 What is the d'th term of -653, -654, -655? -d - 652 What is the o'th term of 294, 1137, 2544, 4515, 7050, 10149? 282*o**2 - 3*o + 15 What is the w'th term of 184, 179, 166, 139, 92, 19, -86? -w**3 + 2*w**2 - 4*w + 187 What is the z'th term of -68, -59, -48, -35, -20, -3, 16? z**2 + 6*z - 75 What is the l'th term of -68, -43, 30, 175, 416, 777? 4*l**3 - 3*l - 69 What is the r'th term of -59, -116, -173? -57*r - 2 What is the l'th term of 18, 44, 80, 120, 158, 188, 204, 200? -l**3 + 11*l**2 + 8 What is the x'th term of 116, 117, 118, 119? x + 115 What is the m'th term of 13, 71, 167, 301? 19*m**2 + m - 7 What is the c'th term of -22, -23, -16, 5, 46, 113, 212, 349? c**3 - 2*c**2 - 2*c - 19 What is the c'th term of 807, 813, 819, 825, 831? 6*c + 801 What is the l'th term of -5092, -5091, -5090, -5089? l - 5093 What is the a'th term of 16, 61, 106, 151? 45*a - 29 What is the q'th term of 39, 69, 111, 171, 255, 369, 519? q**3 + 23*q + 15 What is the j'th term of 64, 280, 640, 1144? 72*j**2 - 8 What is the t'th term of 851, 1702, 2553, 3404? 851*t What is the g'th term of 36, 51, 68, 87, 108? g**2 + 12*g + 23 What is the u'th term of -18, -29, -54, -99, -170, -273? -u**3 - u**2 - u - 15 What is the w'th term of 66, 83, 124, 201, 326, 511? 2*w**3 + 3*w + 61 What is the d'th term of -42, -86, -132, -180, -230, -282, -336? -d**2 - 41*d What is the o'th term of -218, -440, -662, -884, -1106? -222*o + 4 What is the j'th term of -10605, -10606, -10607, -10608, -10609, -10610? -j - 10604 What is the w'th term of -1, 23, 93, 233, 467, 819? 4*w**3 - w**2 - w - 3 What is the c'th term of 112, 111, 110, 109, 108, 107? -c + 113 What is the y'th term of 30, 176, 414, 738, 1142, 1620, 2166, 2774? -y**3 + 52*y**2 - 3*y - 18 What is the l'th term of -28, -52, -76, -100, -124, -148? -24*l - 4 What is the h'th term of -43, -38, -31, -22, -11, 2? h**2 + 2*h - 46 What is the s'th term of -195, -390, -585, -780, -975? -195*s What is the p'th term of -575, -1145, -1715, -2285, -2855? -570*p - 5 What is the n'th term of 12, 40, 90, 168, 280, 432? n**3 + 5*n**2 + 6*n What is the f'th term of 238, 462, 686, 910? 224*f + 14 What is the j'th term of 310, 613, 916, 1219, 1522, 1825? 303*j + 7 What is the n'th term of 9, 7, -7, -33, -71? -6*n**2 + 16*n - 1 What is the f'th term of -166, -174, -182, -190, -198, -206? -8*f - 158 What is the g'th term of -124, -240, -354, -466, -576, -684, -790? g**2 - 119*g - 6 What is the a'th term of -330, -668, -1006, -1344, -1682? -338*a + 8 What is the p'th term of -1990, -1996, -2004, -2014, -2026, -2040, -2056? -p**2 - 3*p - 1986 What is the m'th term of -137, -279, -431, -599, -789? -m**3 + m**2 - 138*m + 1 What is the m'th term of 1002, 2002, 3000, 3996, 4990, 5982, 6972? -m**2 + 1003*m What is the r'th term of 228, 453, 676, 897, 1116, 1333? -r**2 + 228*r + 1 What is the k'th term of -468, -470, -472? -2*k - 466 What is the w'th term of -10, -16, -20, -22? w**2 - 9*w - 2 What is the b'th term of -43, -28, -7, 20, 53, 92, 137? 3*b**2 + 6*b - 52 What is the a'th term of -17009, -17008, -17007, -17006? a - 17010 What is the a'th term of -114, -138, -190, -282, -426? -2*a**3 - 2*a**2 - 4*a - 106 What is the r'th term of -84, -158, -232, -306, -380, -454? -74*r - 10 What is the c'th term of 267, 267, 273, 291, 327, 387, 477? c**3 - 3*c**2 + 2*c + 267 What is the c'th term of 901, 926, 967, 1024? 8*c**2 + c + 892 What is the p'th term of -445, -443, -439, -433, -425? p**2 - p - 445 What is the i'th term of -17, -18, -19, -20, -21, -22? -i - 16 What is the y'th term of -209, -839, -1889, -3359, -5249, -7559, -10289? -210*y**2 + 1 What is the l'th term of 3, 0, -7, -18, -33? -2*l**2 + 3*l + 2 What is the t'th term of -161, -175, -213, -287, -409? -2*t**3 - 159 What is the h'th term of -7821, -7822, -7823? -h - 7820 What is the o'th term of -24, -29, -40, -57, -80, -109, -144? -3*o**2 + 4*o - 25 What is the m'th term of -40, -94, -160, -244, -352, -490, -664, -880? -m**3 - 47*m + 8 What is the m'th term of 26, 133, 318, 587, 946, 1401, 1958, 2623? m**3 + 33*m**2 + m - 9 What is the i'th term of 103, 92, 69, 28, -37? -i**3 - 4*i + 108 What is the k'th term of 40, 161, 362, 643, 1004? 40*k**2 + k - 1 What is the v'th term of -186, -357, -518, -663, -786, -881, -942? v**3 - v**2 - 175*v - 11 What is the n'th term of -6, 21, 60, 117, 198? n**3 + 20*n - 27 What is the v'th term of 40, 44, 56, 82, 128? v**3 - 2*v**2 + 3*v + 38 What is the o'th term of -690, -691, -692, -693? -o - 689 What is the z'th term of 33, 125, 375, 861, 1661, 2853, 4515, 6725? 13*z**3 + z**2 - 2*z + 21 What is the t'th term of -2140, -2136, -2130, -2122, -2112, -2100? t**2 + t - 2142 What is the h'th term of -86, -181, -276, -371? -95*h + 9 What i
{ "pile_set_name": "DM Mathematics" }
2 + 34 + 5*o**2 in the form j*o + u + b*o**2 and give b. 1 Rearrange ((0 + 1 + 0)*(-1 + 5 + 1) - 5 + 0 + 4)*(-2*z**2 + 0*z**2 + z**2) to p + q*z**2 + t*z and give q. -4 Rearrange -1 + 6952*r**4 + 16*r**2 + 5*r**3 - 2*r**3 - 6949*r**4 + r to p*r**2 + m*r + n + w*r**4 + j*r**3 and give m. 1 Express -423*k**2 + 422*k**2 + 0*k - 2*k - 47*k**3 + 168*k**3 as m*k**2 + j*k**3 + u*k + c and give j. 121 Express (182 + 66 - 42)*(2 - 2 + 3*u) in the form h + y*u and give y. 618 Rearrange 60*i**2 - 43*i**2 - 45*i**2 + 8*i - 6*i - 6 to the form c*i + t + w*i**2 and give w. -28 Rearrange -b**3 - b**3 + 0*b**3 + (-14*b**2 - b**2 + 3*b**2)*(1 - 1 + 6*b) to the form w + f*b**2 + u*b**3 + v*b and give u. -74 Rearrange -2*g**4 - 67039 + 67040 + 3*g**2 + 30*g**3 - g**2 + g to q*g**2 + h*g + j + u*g**3 + m*g**4 and give j. 1 Express (-4*i + i + 2*i + (-2*i + 5*i - 5*i)*(4 + 1 - 6))*(-2 + 6 - 5)*(-742 + 739 + 7*i + 0*i) in the form m + o*i + s*i**2 and give o. 3 Rearrange 99*i**2 - 68*i**2 + 53*i**2 + i + i to the form d*i + z*i**2 + o and give z. 84 Express (-11*s + 14 - 13 - 2)*(-3 + 4*s**2 - 3*s**2 + 9*s + 2) as v + d*s + c*s**2 + z*s**3 and give c. -100 Express 130*i + 48*i + 9*i as n + k*i and give n. 0 Rearrange -75*v - 18*v - 141*v + 9*v to q + a*v and give a. -225 Rearrange 0*k**2 + 0*k**2 - 3*k**2 + (4 - 3 - 2)*(-6*k**2 + k**2 - 2*k**2) to the form r + c*k**2 + f*k and give c. 4 Express 1 - 1 + 23*n**3 + 8 - 36*n**3 + 5 in the form a*n**3 + w + d*n**2 + c*n and give a. -13 Express 92*y**2 + 14 - 13*y**4 - 6*y**4 + y**3 - 92*y**2 + 5*y**4 in the form g + x*y**3 + h*y**2 + o*y + s*y**4 and give x. 1 Express -16*b**2 + 6 - 16 + 9*b**2 + 9*b**2 as n*b + r*b**2 + c and give r. 2 Express 247*l**2 + 4960*l**3 + 197*l**2 - 444*l**2 - l + l + 2*l**3 + (-2*l**3 + 0*l + 0*l)*(-3 + 0 + 2) as r + o*l**3 + u*l + k*l**2 and give o. 4964 Rearrange -4 - 104*j + 184*j - 88*j - 2*j**2 to m*j**2 + h + w*j and give m. -2 Rearrange 288*l**2 - 385*l**2 - 579*l**2 - 436*l**2 - 38*l**2 to the form w*l + s*l**2 + t and give s. -1150 Express 241*f**2 - 158*f**2 - 729*f**2 as n*f**2 + i*f + h and give n. -646 Express -213*o - 1178 + 1178 in the form r + j*o and give j. -213 Express -15 + 1 - 5 + 8*h**2 + 9 in the form b + c*h + g*h**2 and give g. 8 Rearrange (2*j - 2*j - 2*j)*(-2 - 15 + 0) + (-2 + 2 - 2)*(3 - 3 + j) to m + s*j and give s. 32 Express -26*b + 41*b - 109*b - 122*b as u*b + p and give p. 0 Express 1 - 3 + 0 + 273*f**3 + 1 + f**2 in the form g*f**3 + o*f + p*f**2 + d and give d. -1 Express 2338*v - 966*v - 932*v as c + l*v and give l. 440 Express (-2*m**2 + 0*m**2 + 0*m**2)*(-2 + 4 + 0)*(-4 - 1 - 5) in the form v*m + p + q*m**2 and give q. 40 Express 177*d**2 - 9583 + 9583 in the form j*d + i*d**2 + c and give i. 177 Express 14*b**2 + 2*b**4 + b**3 - 23*b**2 - 2*b**2 + 2*b + 0*b**4 + 9*b**2 as n + j*b**3 + f*b + c*b**4 + x*b**2 and give j. 1 Rearrange 159*k + 1173 - 588 - 585 to h + i*k and give i. 159 Express (0 + v + 0)*(-2 + 2 + 1) - 3 + 3 - 4862*v + 8989*v - 7347*v as n + a*v and give a. -3219 Rearrange (-11*d + 27*d - 14*d - 210)*(1 - d - 1) to the form s*d + y*d**2 + j and give s. 210 Express 3*l - 6*l - l - 2*l - l + 5*l + 3 + (1 + 5 + 7)*(5*l - 3*l + 2*l) in the form b*l + v and give b. 50 Express (4*n + 0*n - 3*n)*(3*n**3 - 13*n**3 + 2*n**3) as p*n**4 + u*n + q*n**2 + v*n**3 + y and give u. 0 Express -189*i**2 - 156*i**2 + 7 - 147*i**2 + 2 + 451*i**2 in the form p*i**2 + h*i + c and give p. -41 Rearrange 13*a**2 + 2 - 85*a + 85*a to v + y*a + t*a**2 and give y. 0 Rearrange -13 + 31 - 121*v - 5 - 12 - 183*v to m*v + r and give m. -304 Rearrange (-1 + 2 + 0)*(-7 - 25 - 1)*((-4 + 2*h + 4)*(-1 - 1 + 3) + h + 1 - 1 - h + 2*h + 0*h - 4*h + 0*h + 2*h + 0 - h + 0) to the form c + z*h and give z. -33 Rearrange -4 + 704*p + 3 + 679*p - 1349*p to o + v*p and give o. -1 Express (-86*x - 65*x + 120*x)*(1 + 0 - 5) + (-2 + 4 - 4)*(-x - x - x) as z + b*x and give b. 130 Rearrange -2*l**2 - l**2 + 6*l**2 + (-20*l + 0*l - 25*l)*(-1 + 1 - 2)*(3*l + 3*l - 5*l) to the form c + f*l + p*l**2 and give p. 93 Rearrange (-1 + 1 + 2)*(13*v + 37*v**2 + 287*v + 1 - 303*v) to w*v**2 + q*v + f and give q. -6 Rearrange -172*j - 3*j**3 - 8 + 13*j**3 + 173*j - 7 to x*j + w*j**3 + c*j**2 + n and give x. 1 Rearrange (33 - 47 + 208)*(-2*l + 2*l + 4*l) to the form t + z*l and give t. 0 Rearrange (-l - 2*l + 4*l)*(-20*l**2 + 6*l - 6*l + 15*l**2) to the form s*l**2 + b + f*l**3 + v*l and give f. -5 Express -1 - n**2 + 2*n**3 + 3 + 71*n + 103*n - 13*n as w*n**3 + v*n + c + a*n**2 and give w. 2 Express -238*g - 8 + 1 + 10 - 3 in the form i*g + p and give i. -238 Rearrange 4*u + 12*u + 4*u + 559*u**3 - 19*u to y + o*u**3 + f*u**2 + j*u and give o. 559 Express 28*z**2 - z - 151*z**2 + z - 5 - 178*z**2 as m + c*z**2 + s*z and give m. -5 Rearrange (26 + 36 - 4)*(1 + 0 - 3)*(-3 + 28*m + 3) to the form b*m + r and give b. -3248 Rearrange 2*z - 2 - 49*z**3 + 18*z**3 - 31*z**3 to d*z**2 + t + w*z + s*z**3 and give d. 0 Rearrange 5350 - 2*f - 35*f**3 - 5349 + 2*f to the form y + l*f + z*f**2 + m*f**3 and give m. -35 Express -2923*g**3 + 5*g**2 - 52*g**2 + 2924*g**3 - 9*g**2 as q + a*g + t*g**2 + p*g**3 and give p. 1 Rearrange 7 + 12 + 238*t - 19 + t to the form z + b*t and give b. 239 Express -2*k**2 + k**3 - 2*k**2 + 5*k**2 - 96*k - 72*k**4 + 96*k in the form o*k**3 + c*k + w*k**4 + u*k**2 + g and give o. 1 Rearrange -8*l - 12 - 14 + 24 to v + z*l and give z. -8 Express (3*f**2 + 0*f**2 - 8*f**2)*(-229 - 35 + 45 - 33) as m*f + k*f**2 + j and give k. 1260 Express (-2*y**4 + 1 - 1)*(-15 + 0 + 0) + (4*y - y - y)*(-y**3 - y + y) - 14*y - 25*y**4 + 14*y in the form f*y**3 + t*y**4 + o*y + b*y**2 + v and give t. 3 Rearrange 0*n**2 - 28*n**2 + 13*n**2 + (23 - 23 + 0*n + 19*n)*(0*n + n + 0*n) to p*n**2 + y + d*n and give p. 4 Express (22*a - 44*a + 21*a)*(-a**2 + 2*a**2 - 2*a**2)*(1 + 6 - 14) - 5*a**3 + a**3 + a**3 in the form q*a**2 + h*a + c*a**3 + i and give c. -10 Express -f - 1332*f**3 + 8*f**2 + 667*f**3 - 6 + 667*f**3 as q*f**2 + u + n*f + k*f**3 and give q. 8 Express (-13*h**2 + 81*h**2 + 16*h**2)*(0 + 2*h**2 + 0) - 2*h**4 - h + h + 44 - 16*h**4 - 44 in the form i*h + z*h**3 + x + c*h**4 + a*h**2 and give c. 150 Rearrange 2*s - 21*s - 2 - 46*s to a + p*s and give a. -2 Express t + t**2 + t**4 - 1958*t**3 + 1958*t**3 - 7*t - 14*t in the form f + o*t + w*t**3 + c*t**4 + b*t**2 and give b. 1 Rearrange (2*m + 0 + 0)*(3*m + 384579 - 384579 + 3*m**2)*(-3 + 3 - m) to k + r*m**3 + c*m + u*m**4 + l*m**2 and give u. -6 Express (234*n - 149*n - 135*n)*(7*n + 3 - 6*n - n**2 + 3*n) as h*n + g*n**3 + r + j*n**2 and give h. -150 Express -421*s - 22*s + 15*s - 193*s + 78*s in the form x*s + u and give u. 0 Express -5*y - 54*y - 78*y + 0*y in the form j + w*y and give w. -137 Rearrange 2 - 211*u + 5*u**4 + u**3 - 3 + 218*u - u**4 to the form p*u**3 + s*u + c + v*u**2 + r*u**4 and give r. 4 Express (3*q + 0*q - 4*q)*(-q - 2*q + 4*q) + 0 + 0 + 2*q**2 - 5*q**2 + 3*q**2 - 2*q**2 - 95*q**2 + 102*q**2 - 118*q**2 as i + t*q + f*q**2 and give f. -114 Rearrange (-3*o**3 - 229*o - 7 + 229*o)*(0*o - 2*o - 2*o) to l*o**2 + s*o**3 + r*o**4 + w + u*o and give r. 12 Express 0*b**2 + 3*b**2 - b**2 + b**2 - 2*b**2 - b**2 + (-42 - 50 + 11)*(-1 - b**2 + 1) as l + m*b**2 + r*b and give m. 81 Express -5*z + 1 + 16*z - 10*z - 2*z in the form v*z + y and give y. 1 Express 10 - 9 - 3*o**2 - o - o**3 - 4*o + 1 + 0*o as w*o + z*o**3 + q*o**2 + j and give j. 2 Express -p**4 + 25*p**3 - 2 - 5*p**3 + 20*p - 3*p**2 - 50*p**3 + 27*p**3 as g + m*p**3 + z*p**4 + s*p**2 + j*p and give j. 20 Express (-2*k - k + k)*(-4*k - 29 + 29)*(32 + 9 - 13) + (3*k**2 - 4*k**2 + 2*k**2)*(-2 + 0 + 0) as a + f*k**2 + t*k and give f. 222 Rearrange (-4 - 1 + 2)*(-107 + 201 - 65*o - 88)*(-3*o**2 + 2*o**3 + 3*o**2) to g*o**2 + h + c*o**3 + r*o + f*o**4 and give r. 0 Express -v + 0*v + 9*v - 2*v + 2*v - 9*v + v + 3*v - 8*v + (0*v - v + 0*v)*(1 - 3 + 4) + 0*v - 2*v + 0*v in the form q + i*v and give q. 0 Rearrange 91*w**2 - 13 + 90*w**2 - 267*w**2 - w - 29 + 90*w**2 to k*w + p + r*w**2 and give k. -1 Express (-799 + 799 - 334*s)*(3*s**2 - s**2 + 0*s**2) + (-5*s + 5*s + 3*s**3)*(4 - 4 + 1) as j*s**3 + o + u*s**2 + k*s and give j. -665 Rearrange 20 - 54*j**2 - 16 + 3*j**4 - 9 + 35*j*
{ "pile_set_name": "DM Mathematics" }
replacement from {w: 2, z: 2, a: 1, g: 2, b: 1}. Give prob of sequence zwa. 1/84 What is prob of sequence pl when two letters picked without replacement from ldgqdqlgqdkllkpggpkq? 2/95 Three letters picked without replacement from {z: 1, r: 1, c: 2, k: 5, x: 3, b: 1}. Give prob of sequence brz. 1/1716 Four letters picked without replacement from {w: 4}. Give prob of sequence wwww. 1 Three letters picked without replacement from ahak. Give prob of sequence hak. 1/12 Calculate prob of sequence ul when two letters picked without replacement from {v: 1, j: 1, u: 2, n: 1, q: 1, l: 1}. 1/21 Three letters picked without replacement from {t: 7, o: 7}. Give prob of sequence ttt. 5/52 Two letters picked without replacement from ncc. Give prob of sequence cn. 1/3 Two letters picked without replacement from hhcchhog. What is prob of sequence ch? 1/7 Calculate prob of sequence wzl when three letters picked without replacement from {z: 3, l: 5, w: 7, f: 4}. 35/1938 Four letters picked without replacement from vektkwkzzzzvvke. What is prob of sequence zekt? 4/4095 Two letters picked without replacement from {d: 1, q: 1, l: 1, b: 2, m: 1, u: 1}. What is prob of sequence db? 1/21 What is prob of sequence nnv when three letters picked without replacement from {n: 5, v: 2}? 4/21 What is prob of sequence va when two letters picked without replacement from {x: 1, a: 4, s: 1, y: 3, m: 1, v: 2}? 2/33 Two letters picked without replacement from {j: 3, m: 11}. Give prob of sequence mm. 55/91 Two letters picked without replacement from {w: 7, b: 9}. Give prob of sequence ww. 7/40 Four letters picked without replacement from oowowowwzoo. Give prob of sequence wozw. 1/110 Three letters picked without replacement from mmekeukmdmkhmem. Give prob of sequence kmk. 6/455 Two letters picked without replacement from {b: 2, z: 16}. What is prob of sequence zb? 16/153 Four letters picked without replacement from ueuueeueeee. Give prob of sequence eeue. 7/66 What is prob of sequence lg when two letters picked without replacement from glivmvlm? 1/28 Two letters picked without replacement from khihzkoo. Give prob of sequence kk. 1/28 Three letters picked without replacement from iczczzizvvzyvzvvd. Give prob of sequence dvc. 1/408 Four letters picked without replacement from {t: 5, f: 5}. What is prob of sequence ftff? 5/84 Calculate prob of sequence whie when four letters picked without replacement from {w: 1, e: 1, i: 1, j: 1, h: 1}. 1/120 Three letters picked without replacement from {v: 9, q: 9}. What is prob of sequence vqv? 9/68 Three letters picked without replacement from lffbffullf. Give prob of sequence uuf. 0 Three letters picked without replacement from {a: 4, x: 1, j: 2, e: 1, r: 2}. What is prob of sequence aaj? 1/30 Two letters picked without replacement from iidociicdiid. Give prob of sequence od. 1/44 What is prob of sequence hlef when four letters picked without replacement from llhihliillileifll? 1/3570 Three letters picked without replacement from xzzdxxz. Give prob of sequence zzz. 1/35 Four letters picked without replacement from mmmzzz. What is prob of sequence mmmm? 0 Two letters picked without replacement from {e: 1, d: 1, g: 2, j: 1}. Give prob of sequence ej. 1/20 Three letters picked without replacement from {d: 1, s: 4, b: 8, u: 1, h: 3}. What is prob of sequence hhh? 1/680 Three letters picked without replacement from iiiixximmii. Give prob of sequence mxx. 2/495 Two letters picked without replacement from {d: 2, m: 3, x: 1, f: 1}. What is prob of sequence mx? 1/14 What is prob of sequence bw when two letters picked without replacement from {b: 6, p: 2, w: 4}? 2/11 Calculate prob of sequence ejoj when four letters picked without replacement from {o: 1, k: 2, j: 2, a: 1, e: 1}. 1/420 Calculate prob of sequence lb when two letters picked without replacement from {l: 2, k: 1, b: 1, a: 1, f: 2}. 1/21 Four letters picked without replacement from xlqlycqxqxdy. What is prob of sequence cdxl? 1/1980 Two letters picked without replacement from {c: 2, x: 3, s: 1, q: 2, y: 2, m: 2}. Give prob of sequence cx. 1/22 Two letters picked without replacement from {r: 8, t: 6, z: 2, k: 3}. What is prob of sequence zr? 8/171 Four letters picked without replacement from jzzjjz. What is prob of sequence zjzj? 1/10 What is prob of sequence rr when two letters picked without replacement from {r: 2, n: 6, d: 3, p: 8}? 1/171 Calculate prob of sequence ig when two letters picked without replacement from dwdogwiwid. 1/45 Two letters picked without replacement from {p: 1, f: 1, a: 1, d: 2, r: 4}. What is prob of sequence ar? 1/18 Calculate prob of sequence nnw when three letters picked without replacement from {q: 1, n: 2, w: 1}. 1/12 Two letters picked without replacement from {g: 1, k: 4, p: 2}. Give prob of sequence gk. 2/21 Two letters picked without replacement from jnjnjjnynnnyj. What is prob of sequence ny? 1/13 What is prob of sequence myo when three letters picked without replacement from omypyp? 1/60 Three letters picked without replacement from sllsl. Give prob of sequence sll. 1/5 Two letters picked without replacement from {q: 2, i: 2}. What is prob of sequence iq? 1/3 Two letters picked without replacement from {q: 5, y: 1, x: 5, o: 1, w: 2, d: 2}. What is prob of sequence xx? 1/12 Three letters picked without replacement from kndggkgknkkknkgne. What is prob of sequence kke? 7/680 What is prob of sequence cccc when four letters picked without replacement from {d: 6, c: 13}? 715/3876 Three letters picked without replacement from lbhhlrhebb. What is prob of sequence hhb? 1/40 What is prob of sequence ko when two letters picked without replacement from kkkop? 3/20 Four letters picked without replacement from {t: 6, l: 12}. Give prob of sequence lttt. 1/51 Two letters picked without replacement from sysvsyvsyvv. What is prob of sequence sy? 6/55 What is prob of sequence rxpu when four letters picked without replacement from mprppmmxxjxpmu? 1/2002 Calculate prob of sequence wyy when three letters picked without replacement from yywwwywymmmymwyyww. 49/816 Four letters picked without replacement from {w: 2, v: 2, j: 1, k: 4, n: 6, y: 4}. Give prob of sequence ykjk. 1/1938 Three letters picked without replacement from hhii. What is prob of sequence hii? 1/6 What is prob of sequence yp when two letters picked without replacement from {b: 3, s: 3, v: 6, r: 2, p: 1, y: 5}? 1/76 Four letters picked without replacement from {t: 1, c: 2, b: 1}. Give prob of sequence bctc. 1/12 What is prob of sequence ga when two letters picked without replacement from {p: 3, g: 3, a: 3, d: 3}? 3/44 Three letters picked without replacement from rqqruuquuruqrr. What is prob of sequence uqq? 5/182 Calculate prob of sequence pnrr when four letters picked without replacement from ggrrpgprrgrrgprn. 3/1040 What is prob of sequence lgl when three letters picked without replacement from lgllglglc? 5/42 Four letters picked without replacement from iipeehpt. Give prob of sequence itpi. 1/420 What is prob of sequence tzs when three letters picked without replacement from {z: 4, s: 3, a: 1, h: 2, t: 4}? 2/91 Three letters picked without replacement from {y: 2, f: 3, x: 1, k: 2, c: 6}. What is prob of sequence fkc? 3/182 What is prob of sequence iuij when four letters picked without replacement from oouopjpuuopiuiuiuu? 7/12240 Calculate prob of sequence ddj when three letters picked without replacement from {j: 2, d: 5, r: 1, q: 8}. 1/84 Four letters picked without replacement from llmmmllmllmllmmlmlml. Give prob of sequence mlll. 99/1292 Two letters picked without replacement from qwxwlllwww. What is prob of sequence ww? 2/9 Three letters picked without replacement from xqoqxo. Give prob of sequence xxo. 1/30 What is prob of sequence mmmm when four letters picked without replacement from mmmmm? 1 Two letters picked without replacement from {j: 1, r: 11, e: 2, s: 2}. Give prob of sequence je. 1/120 Two letters picked without replacement from jjxxfxjjjjx. Give prob of sequence fx. 2/55 What is prob of sequence pqwq when four letters picked without replacement from {f: 1, q: 2, w: 2, p: 6}? 1/330 What is prob of sequence zzx when three letters picked without replacement from xzzwzzzexzzzxzxxz? 15/136 Calcula
{ "pile_set_name": "DM Mathematics" }
-2*s, a - s + x*s = 20. Find the first derivative of -a - 12*c**2 - 12 + 2 - 2 wrt c. -24*c Let c(y) = -3*y**2 + 1793*y - 2647. Let v(f) = -4*f**2 + 1793*f - 2647. Let g(j) = -3*c(j) + 2*v(j). Differentiate g(h) wrt h. 2*h - 1793 Let v = 85 + -81. Let o be 1*(-5 + 4 + v). What is the first derivative of -16 + 32 + 5*r**3 + 12 + 5*r**o wrt r? 30*r**2 What is the third derivative of -536*w**2 + 20 - 20 - 384*w**3 + 31*w**2 - 58*w**3 wrt w? -2652 Let n(i) = i**5 + 6*i**4 - i**3 + i + 1. Let o(j) = 2*j**5 - 96*j**4 - j**3 - 592*j**2 + j + 1. Let c(a) = n(a) - o(a). Find the third derivative of c(p) wrt p. -60*p**2 + 2448*p Suppose 6*d - 12*d = -36. Let z be d/4*(-5)/(30/(-8)). Differentiate 0*b - 39 + z*b - 2*b + 5*b**3 with respect to b. 15*b**2 Let t(i) be the third derivative of 5/16*i**8 + 16 + 0*i**3 + 4*i**2 + 3/8*i**4 + 0*i**7 + 0*i**6 + 1/60*i**5 + 0*i. Find the third derivative of t(v) wrt v. 6300*v**2 Let y = -160 + 162. What is the third derivative of -3*z**3 + z**2 - 3*z**2 - 58*z + 61*z - 6*z**y wrt z? -18 Differentiate 4309 - 1247 - 88*l**2 + 2*l**3 - 1441 with respect to l. 6*l**2 - 176*l Let r be (-10)/(-6)*(-23 - (-3 + 1)). Let c = r + 37. Differentiate 32 - 124*v + 35*v**c + 124*v with respect to v. 70*v Let a be (3 + -1 - 3) + 3/(-1). Let x be ((-42)/12 - a)*(40 + -2). What is the third derivative of 33*t**2 - x*t**4 - 92 + 92 wrt t? -456*t Let j(c) be the second derivative of -18*c**8/7 + c**6/15 + 7*c**4/12 - 373*c. Find the third derivative of j(u) wrt u. -17280*u**3 + 48*u Suppose 16*w = 8 + 8. What is the second derivative of 8*n**3 - 7*n**3 - n**4 - 17*n + w + n**4 - 3*n**5 wrt n? -60*n**3 + 6*n Suppose 8*d - 13988 + 2428 = 0. What is the second derivative of c**5 - 2 + 13*c + 35*c**3 + 1445*c**2 - d*c**2 wrt c? 20*c**3 + 210*c Let v(t) = -t**3 - 4*t**2 + 5*t + 2. Let x be v(-5). Find the third derivative of 4*c**2 - 11*c**6 + 0*c**3 + 20 - 31 + 2*c**3 - x*c**2 wrt c. -1320*c**3 + 12 Let x(d) = d**2 + 10*d - 19. Let t be x(-9). Let o be 220/35 - (-8)/t. What is the third derivative of 1 - n**o + 9*n**2 - 1 - 4*n**6 wrt n? -600*n**3 Let d(s) = 6109*s + 7572. Let u(c) = -6112*c - 7570. Let w(p) = -5*d(p) - 4*u(p). What is the first derivative of w(i) wrt i? -6097 What is the derivative of -4*t**3 + 1673 + 2410 + 2*t**3 - 5652 + 1071*t**2 wrt t? -6*t**2 + 2142*t Let u = -40 - -42. Suppose 12 = -b + 3*b. Find the third derivative of 5*m**2 - 20*m**b - 16*m**u - 3*m**2 - 5*m**2 wrt m. -2400*m**3 Let n(i) = -18*i**4 - 25*i**3 + 2*i**2 - 2*i - 90. Let y(t) = 70*t**4 + 102*t**3 - 9*t**2 + 9*t + 360. Let q(o) = -9*n(o) - 2*y(o). Differentiate q(j) wrt j. 88*j**3 + 63*j**2 What is the second derivative of -8*b - 1914*b**4 + 5 - 4 + 1914*b**4 - 1030*b**5 + 3 wrt b? -20600*b**3 Suppose -5 + 5 = 11*j. Differentiate -51*p**2 - p - 103 + j*p + 23*p**2 + 29*p**2 with respect to p. 2*p - 1 Let v(s) be the first derivative of -2/3*s**3 + 0*s**5 + 0*s + 41/2*s**2 + 0*s**6 + 0*s**4 + 113/7*s**7 - 44. Find the third derivative of v(i) wrt i. 13560*i**3 Let j(h) = 96*h - 282. Let k(z) = 27*z - 146. Let f(x) = -4*x - 1. Let q(w) = -5*f(w) + k(w). Let l(r) = -6*j(r) + 11*q(r). Differentiate l(d) wrt d. -59 Let p = 4190 + -2615. Find the second derivative of p - 2*g - 95*g**5 - 1585 + 0*g**4 + 0*g**4 wrt g. -1900*g**3 Let j(w) be the second derivative of w**5/20 - w**4/12 + 3*w**2 - 12*w. Let k be j(0). Find the second derivative of d - 29*d**3 - k*d + 53*d**3 wrt d. 144*d Let s(b) = 2*b**3 - b + 2. Let i(m) = 1170*m**3 + 4*m - 707. Let t(r) = -i(r) - 4*s(r). Differentiate t(j) with respect to j. -3534*j**2 Let t be ((-56)/(-4))/((-5)/((-35)/14)). Find the second derivative of 14*n - t*n - 18 - n - 10 - 177*n**3 - 9*n wrt n. -1062*n Let d(p) be the third derivative of -11/3*p**3 + 257*p**2 + 0 - 1/8*p**4 + 0*p + 11/20*p**5. Find the second derivative of d(v) wrt v. 66 Let v(d) be the first derivative of 5347*d**4/4 - 5*d**3/3 - 225*d + 1262. Find the third derivative of v(c) wrt c. 32082 Let m(q) = -4931*q**2 - 16*q - 4826. Let u(d) = 1645*d**2 + 6*d + 1609. Let n(v) = -3*m(v) - 8*u(v). What is the derivative of n(i) wrt i? 3266*i Let b(y) be the third derivative of 501*y**5/20 + 292*y**3/3 + 4*y**2 - 9*y + 9. What is the first derivative of b(c) wrt c? 3006*c Let d(b) = -b**3 + 782*b**2 - 778*b**2 - 3*b - 8 + 6*b. Let w be d(4). Find the second derivative of -3*l**w + 2*l - 14*l - 9*l - 4*l**4 wrt l. -84*l**2 Find the third derivative of 1054*t - 3049*t**2 + 242*t**5 - 2106*t + 193*t**5 + 1052*t wrt t. 26100*t**2 Let w(m) be the second derivative of m**5/20 + 439*m**3/6 + 1864*m**2 + 67*m + 1. Differentiate w(y) wrt y. 3*y**2 + 439 Let k(f) = -f**3 - 8*f**2 - 15*f + 509. Let y(g) = -2*g**3 - 10*g**2 - 13*g + 510. Let p(t) = -5*k(t) + 4*y(t). What is the first derivative of p(r) wrt r? -9*r**2 + 23 Find the second derivative of 6162 - 45*o**2 - 139*o**4 - 6155 - 4*o**3 + 100*o + 45*o**2 wrt o. -1668*o**2 - 24*o Find the first derivative of -3499 + 108*c**3 + 2455*c**3 + 740*c**3 - 1047*c**3 wrt c. 6768*c**2 Let m be ((-295)/(-15) + 6)/(1/(-3)). Let i = m + 97. Differentiate z**4 + 1 - 42*z**4 + i + 5*z**4 wrt z. -144*z**3 Suppose d - 36 = -2*a - d, a - 26 = 3*d. Find the third derivative of 69*m**2 - 12*m**4 + a*m**4 + 5*m**4 wrt m. 312*m Find the second derivative of 877*i + 3713*i**5 + 198*i - 1 - 466*i + 590*i wrt i. 74260*i**3 Let z = 29 - 23. Suppose 4*t = -f + 10, -f = 2*t - 6*t + z. What is the second derivative of 73 + 27*i**f - 73 + 19*i wrt i? 54 Let x = 66 + -62. What is the second derivative of 16*i**3 - 4*i**2 - 9*i + 45*i + x*i**2 wrt i? 96*i Let f(j) = -1483*j**3 + 4*j**2 + 13*j - 332. Let g(p) = -494*p**3 + p**2 + 5*p - 110. Let h(b) = -3*f(b) + 8*g(b). Find the second derivative of h(c) wrt c. 2982*c - 8 What is the second derivative of -8*r**4 - 135*r**3 + 71*r**3 + 61*r**3 - 30*r**4 + 2149*r wrt r? -456*r**2 - 18*r What is the second derivative of -730*f**4 + 124*f - 527*f + 195*f - 623*f - 1522*f**4 wrt f? -27024*f**2 Let l(w) be the second derivative of 80*w + 0*w**2 + 1/6*w**4 + 71/3*w**3 + 197/20*w**5 + 0. What is the third derivative of l(k) wrt k? 1182 Suppose -32*t + 27*t = 0. Suppose -2*n = 4*c - 6, t*c = n + c - 3. What is the derivative of 109 - 11*l**n - 61 - 59 wrt l? -33*l**2 Let y(s) = -s**4 + s**3 + s. Let u(h) = -999*h**4 + 12*h**3 + 11*h + 153. Let f(m) = u(m) - 12*y(m). Find the second derivative of f(w) wrt w. -11844*w**2 Let s(q) be the first derivative of 77*q**3/3 - 19*q**2/2 + 7532*q - 774. What is the first derivative of s(d) wrt d? 154*d - 19 Let y(d) be the third derivative of 2377*d**5/30 - 1491*d**4/8 + d**2 - 523*d. What is the second derivative of y(w) wrt w? 9508 Let y(o) be the first derivative of -1073*o**4/4 - 19*o**3/3 - 34*o + 374. What is the third derivative of y(n) wrt n? -6438 Let i(z) = z**3 - 9*z**2 + z + 2. Let q = 7 + 2. Let c be i(q). What is the second derivative of 4*m**3 + 4*m + c*m**3 + 0*m**3 wrt m? 90*m Suppose 5*v - 5*w - 6 = 14, -4*w + 5 = -v. What is the second derivative of -47 + 20 - 5 + v*d**2 - d wrt d? 14 Let b = -28 - -33. Suppose -12*a + 41 = b. Find the third derivative of -7*u**2 + 0*u**2 + 9*u**a + 6*u**3 - 6*u**2 wrt u. 90 What is the second derivative of 3101099*w**2 - 16*w - 3101099*w**2 - 1409*w**4 - 41 wrt w? -16908*w**2 Suppose 10*q - 10278 = 16122. Let k be 6/(-1)*((-14)/2)/14. What is the third derivative of -2640 - 36*c**2 - k*c**4 + q wrt c? -72*c Suppose 10*j - 45 - 15 = 0. Let u = 12 - j. What is the third derivative of -10*z**2 - 4*z**2 - u*z**5 + 21*z**5 wrt z? 900*z**2 Let c(o) = -165*o - 271. Let p = 291 - 294. Let v(k) = -2*k - 1. Let l(n) = p*v(n) - c(n). Differentiate l(w) wrt w. 171 Suppose -2*d - 440 = -7*d. Let f be ((-22)/d)/(2/(-32)). Find the second derivative of f*j - 2*j**2 - 4*j**2 - j wrt j. -12 Suppose c - 48 = -7*c. What is the third derivative of 38*l**2 + 53*l**6 - 4*l**c + 13*l**2 - 7*l**6 wrt l? 5040*l**3 What is the first derivative of 79*x + 2462 + 117*x + 75*x - 354 - 227*x + 26*x**2 wrt x? 52*x + 44 Suppose 10*b - 2*s + 2 = 15*b, -s - 4 = 0. What is the derivative of 179*k**b - 1790 + 1680 + 50*k**2 wrt k? 458*k Let c = 288 + -242. Find the third derivative of j**3 - 2*j**2 - 103*j**4 + c + 101*j**4 + j**3 wrt j. -48*j + 1
{ "pile_set_name": "DM Mathematics" }
d 1 z when four letters picked without replacement from zmymmmnzyzzyyyy. 8/455 Four letters picked without replacement from {j: 4, q: 5, a: 1, h: 6}. Give prob of picking 4 h. 3/364 Two letters picked without replacement from {d: 2, f: 4, n: 1, l: 3}. Give prob of picking 1 d and 1 l. 2/15 Calculate prob of picking 2 s, 1 r, and 1 n when four letters picked without replacement from rgttnttrrngtrssjt. 2/595 Three letters picked without replacement from eeeezeeeeeeeeeeeezee. Give prob of picking 1 z and 2 e. 51/190 Calculate prob of picking 3 i when three letters picked without replacement from {y: 2, i: 3}. 1/10 Two letters picked without replacement from yxcyoebe. Give prob of picking 1 x and 1 b. 1/28 Four letters picked without replacement from {h: 10, y: 2}. What is prob of picking 2 h and 2 y? 1/11 Calculate prob of picking 1 m, 2 v, and 1 l when four letters picked without replacement from {t: 1, m: 3, v: 3, c: 5, l: 3}. 9/455 Calculate prob of picking 1 p, 1 w, 1 k, and 1 s when four letters picked without replacement from {p: 2, d: 3, z: 3, k: 1, w: 2, s: 1}. 4/495 Four letters picked without replacement from {q: 5, r: 1, b: 5, x: 5}. Give prob of picking 1 q and 3 b. 5/182 Four letters picked without replacement from {t: 9, l: 2, o: 6}. Give prob of picking 3 o and 1 l. 2/119 Calculate prob of picking 2 c and 1 y when three letters picked without replacement from hhcchyochccoc. 15/286 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from eel. 2/3 Four letters picked without replacement from {x: 2, g: 6, t: 2, y: 1, k: 3, q: 4}. Give prob of picking 1 y and 3 g. 1/153 Four letters picked without replacement from {p: 6, h: 1, t: 2, q: 2, x: 1}. What is prob of picking 2 p and 2 x? 0 Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rryr. 3/4 Two letters picked without replacement from ybqbbbqyn. What is prob of picking 1 b and 1 y? 2/9 Four letters picked without replacement from {c: 7, e: 3, o: 8}. What is prob of picking 3 c and 1 o? 14/153 Calculate prob of picking 2 i when two letters picked without replacement from iinypni. 1/7 Calculate prob of picking 2 y when two letters picked without replacement from {y: 1, k: 4, z: 1, u: 2, l: 1}. 0 Four letters picked without replacement from amapn. What is prob of picking 2 a, 1 m, and 1 n? 1/5 Two letters picked without replacement from kmimkxyni. What is prob of picking 1 n and 1 i? 1/18 Calculate prob of picking 4 e when four letters picked without replacement from ezeeezezzzeze. 7/143 Four letters picked without replacement from annnnakaaau. Give prob of picking 3 a and 1 u. 1/33 Three letters picked without replacement from qekqqeeqqkkkk. What is prob of picking 3 k? 5/143 Three letters picked without replacement from {p: 2, d: 1, u: 2}. Give prob of picking 2 u and 1 d. 1/10 Three letters picked without replacement from jzzuzmjjzmjjummuduzj. What is prob of picking 2 z and 1 m? 2/57 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdfdfdqfddffddddf. 9/68 Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, z: 2}. 2/5 Four letters picked without replacement from {e: 7, k: 2, z: 2}. What is prob of picking 2 e and 2 z? 7/110 Two letters picked without replacement from {d: 4, r: 3, t: 2}. What is prob of picking 1 t and 1 r? 1/6 Three letters picked without replacement from {p: 3, z: 4, n: 2, e: 9}. Give prob of picking 2 p and 1 e. 9/272 Two letters picked without replacement from {t: 3, k: 1, a: 1}. What is prob of picking 1 a and 1 t? 3/10 Two letters picked without replacement from wzyyzzyawyay. Give prob of picking 1 y and 1 a. 5/33 Four letters picked without replacement from {k: 5, u: 9}. What is prob of picking 1 u and 3 k? 90/1001 What is prob of picking 2 l when two letters picked without replacement from lltttllltttlltllltlt? 11/38 Two letters picked without replacement from {f: 2, g: 2, x: 1, q: 1, r: 1}. What is prob of picking 1 r and 1 g? 2/21 What is prob of picking 1 k and 2 c when three letters picked without replacement from {k: 1, g: 1, c: 4, o: 1, a: 2, z: 6}? 6/455 What is prob of picking 2 e and 1 v when three letters picked without replacement from {e: 4, v: 3, o: 1}? 9/28 Two letters picked without replacement from {z: 2, m: 3}. Give prob of picking 1 m and 1 z. 3/5 What is prob of picking 3 y when three letters picked without replacement from {y: 5}? 1 What is prob of picking 3 o and 1 z when four letters picked without replacement from {z: 2, w: 5, o: 3, c: 10}? 2/4845 Four letters picked without replacement from yyttyyytyttt. Give prob of picking 4 y. 1/33 Three letters picked without replacement from fifhihhhfhhhifiiihh. Give prob of picking 1 i and 2 h. 72/323 Four letters picked without replacement from zzuzzzzzzzzzu. Give prob of picking 4 u. 0 Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {b: 3, p: 11}. 165/364 Two letters picked without replacement from kofyokkfof. Give prob of picking 2 f. 1/15 What is prob of picking 3 w when three letters picked without replacement from wwuwwkwwwk? 7/24 Two letters picked without replacement from kkkkkk. What is prob of picking 2 k? 1 Two letters picked without replacement from {y: 3, u: 2, b: 1, i: 3, d: 2, m: 1}. What is prob of picking 2 u? 1/66 What is prob of picking 1 s and 3 w when four letters picked without replacement from {w: 4, x: 1, g: 1, s: 1, u: 2}? 2/63 What is prob of picking 2 g when two letters picked without replacement from gnxgagxgpzgngg? 3/13 Three letters picked without replacement from {n: 4, w: 15}. What is prob of picking 1 w and 2 n? 30/323 Calculate prob of picking 2 b when two letters picked without replacement from bgbgbbbbgbbb. 6/11 Calculate prob of picking 1 o, 1 b, and 1 t when three letters picked without replacement from {o: 5, t: 1, b: 7}. 35/286 Calculate prob of picking 2 u and 2 o when four letters picked without replacement from houeueoueehhuuho. 3/182 Calculate prob of picking 2 d when two letters picked without replacement from dqcqddqqdd. 2/9 What is prob of picking 2 u and 1 j when three letters picked without replacement from {j: 5, u: 3, d: 3}? 1/11 What is prob of picking 2 e and 2 t when four letters picked without replacement from gegeeeetbbtbibw? 2/273 Four letters picked without replacement from {d: 8, n: 1, x: 1, t: 3, r: 2, j: 1}. What is prob of picking 1 t, 1 x, 1 d, and 1 n? 6/455 What is prob of picking 1 h and 2 a when three letters picked without replacement from {h: 4, a: 4, c: 3, k: 6}? 3/85 Two letters picked without replacement from tylttttltclly. What is prob of picking 2 l? 1/13 Two letters picked without replacement from oppooppppppp. Give prob of picking 1 o and 1 p. 9/22 What is prob of picking 2 m and 2 p when four letters picked without replacement from {p: 5, a: 3, w: 3, m: 9}? 24/323 What is prob of picking 1 b and 1 f when two letters picked without replacement from {f: 15, b: 3}? 5/17 Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, m: 2}. 3/10 Calculate prob of picking 3 p when three letters picked without replacement from {i: 1, t: 1, z: 1, p: 5, c: 2}. 1/12 What is prob of picking 3 g when three letters picked without replacement from zggvaavvcga? 1/165 What is prob of picking 1 n and 2 t when three letters picked without replacement from {t: 6, n: 2}? 15/28 What is prob of picking 1 d and 1 v when two letters picked without replacement from {g: 1, d: 4, v: 2}? 8/21 Four letters picked without replacement from {t: 2, r: 1, a: 2, v: 1, u: 6}. Give prob of picking 1 r, 2 t, and 1 a. 2/495 Two letters picked without replacement from {k: 2, i: 1, x: 5, p: 1}. What is prob of picking 1 p and 1 i? 1/36 Two letters picked without replacement from iaapaaiappaabaaappa. What is prob of picking 1 p and 1 i? 10/171 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from ffsmssfff. 1/12 Two letters picked without replacement from {s: 1, r: 4, c: 5, o: 1, m: 1, i: 1}. Give prob of picking 1 m and 1 s. 1/78 Calculate prob of picking 2 m and 1 f when three letters picked without replacement from {y: 6,
{ "pile_set_name": "DM Mathematics" }
t is q(p(k))? -9*k Let c(k) be the third derivative of -17*k**2 + 0*k + 0 + 0*k**3 - 1/8*k**4. Let i(v) = -v**2. Calculate c(i(j)). 3*j**2 Let x(n) = -5*n**2. Let y(l) = -5326*l**2. Determine x(y(a)). -141831380*a**4 Let z(q) be the third derivative of -q**5/30 + 20*q**2. Let m(c) be the first derivative of 23*c**2/2 + 3. Determine z(m(v)). -1058*v**2 Let l(i) = 1527*i. Let j(r) = -202*r - 6. Calculate j(l(d)). -308454*d - 6 Let u(z) = 1726*z. Let r(l) = -3*l + 1. Determine r(u(m)). -5178*m + 1 Suppose 0 = -d - 2*d - 0*d. Let k(x) be the second derivative of 0*x**2 + 1/3*x**3 + d + x. Let r(b) = -4*b**2. What is k(r(o))? -8*o**2 Let q(s) be the third derivative of 17*s**4/24 - 129*s**2 - 5. Let i(g) = 0*g + 2*g - 3*g. Determine q(i(u)). -17*u Let p(r) = 2*r + r - 4*r - 4*r. Let u(v) be the first derivative of v**3/3 - 46. Give u(p(j)). 25*j**2 Let v(c) = -43*c. Let l(g) = -3805*g**2. What is l(v(h))? -7035445*h**2 Suppose -2*f + 3*n = -0*f - 420, 5*f - n - 1050 = 0. Let h(u) = 210*u - u**2 - f*u. Let s(o) = -19*o. Determine h(s(d)). -361*d**2 Let g(y) = -7*y - 5. Let i(f) = -66*f - 48. Let n(m) = 48*g(m) - 5*i(m). Let c(p) be the third derivative of p**5/20 + p**2 + 29*p. What is c(n(w))? 108*w**2 Let m(x) = -35*x**2. Let k(s) = 8*s**2 - 5*s + 10. Let w(l) = l - 2. Let z(n) = k(n) + 5*w(n). What is z(m(h))? 9800*h**4 Let r(j) = -7*j - 2. Let o(x) = -190*x - 55. Let g(u) = 4*o(u) - 110*r(u). Let f(w) be the second derivative of w**4/2 + 774*w - 2. What is f(g(a))? 600*a**2 Let y(b) = 49 - 49 + b**2. Let z(r) = 24*r - 3. What is z(y(t))? 24*t**2 - 3 Let c(a) = 8*a - 1. Let y(u) = 10*u**2 - 7*u + 9. Let d be y(3). Let z(o) = -2 + 77*o - d*o + 2. Calculate c(z(g)). -8*g - 1 Let q(w) = 7*w - 7*w**2 + 11*w**2 - 52*w**2 - 7*w. Let k(u) = -4*u. Determine q(k(y)). -768*y**2 Let d(r) be the third derivative of r**4/8 - 4*r**3/3 - 219*r**2. Let f(n) = -4*n**2. What is d(f(k))? -12*k**2 - 8 Let r(j) = -9*j. Let y(u) be the second derivative of -u**4/24 + 19*u**2/2 + 13*u. Let o(f) be the first derivative of y(f). Calculate r(o(g)). 9*g Let i(x) = -2398*x**2. Let q(w) = -w - 7. Determine q(i(t)). 2398*t**2 - 7 Let g(q) = -12*q**2. Let h(z) = 2*z - 2. Let f be h(2). Let b be -2*(f + -3)*2. Let m(w) = -w + b*w - 3*w - w. Give g(m(a)). -12*a**2 Let z(x) = 7 - 7 + 0 + 2*x**2. Let t(j) be the first derivative of -2*j**3 - 25. Calculate t(z(y)). -24*y**4 Let s(t) = 2*t**2. Let w(z) = -506683*z. Give w(s(x)). -1013366*x**2 Let s(y) = y**2. Let g(x) be the third derivative of -9*x**5 - 10*x**2. Determine s(g(i)). 291600*i**4 Let g(i) = 262*i. Let b(k) = -13688*k. Calculate g(b(a)). -3586256*a Let q(k) = -k + 6. Let d(h) = -3*h + 11. Suppose -44 = 9*l - 5*l. Let u(w) = l*q(w) + 6*d(w). Let n(i) = 2*i. Determine n(u(b)). -14*b Let v(x) = 2*x - 1. Let g(z) = -22*z + 12. Let m(l) = -g(l) - 12*v(l). Let r(t) = 151*t. Determine r(m(h)). -302*h Let s(c) = 4*c. Let w(o) = 15*o + 3. Let a(p) = -16*p - 2. Let v(d) = 3*a(d) + 2*w(d). Determine s(v(l)). -72*l Suppose -5 = 48*c - 149. Let v(q) be the second derivative of 0 + 0*q**2 - 6*q + 1/3*q**c. Let t(r) = 3*r. Calculate t(v(a)). 6*a Let i(f) = -10*f. Let d(u) be the third derivative of 7*u**4/8 - 11*u**2 + 2. Let s(x) = 3*d(x) + 7*i(x). Let m(q) = 7*q**2. What is s(m(h))? -49*h**2 Let o(r) = 6*r - 11. Let n be o(4). Let f(c) = 17*c**2 + 13 - n. Let l(a) = -a**2 - 4*a**2 + 4*a**2. Calculate f(l(k)). 17*k**4 Let n(g) = -g**2. Let f(l) = -3*l - 291. Let h(y) = 4*y + 293. Let u(p) = -5*f(p) - 4*h(p). What is u(n(a))? a**2 + 283 Let f(s) = 2*s**2. Let y(w) = 91 - 6*w**2 + 84 + 79 - 264. Determine y(f(p)). -24*p**4 - 10 Let d(c) be the second derivative of -c**3/3 + 51*c. Let k(l) = 34*l**2. Calculate d(k(z)). -68*z**2 Let a(f) = f. Let x(r) = 6776*r - 1. Calculate x(a(v)). 6776*v - 1 Let q(c) = 13*c**2 - 5*c**2 - c**2. Let i(o) = 35*o**2. Calculate q(i(a)). 8575*a**4 Suppose 3 = -8*s + 19. Let m(i) = 25*i**2 - 7*i**s + 4*i**2. Let v(w) = 3*w**2. What is m(v(r))? 198*r**4 Let q(k) be the second derivative of -k**4/6 + k. Let t(z) = -z**2 + 2. Let o(m) = -1. Let r(n) = 15*o(n) + 5*t(n). What is r(q(d))? -20*d**4 - 5 Let k(b) = -b**2. Let z(d) = -78*d + 13. Let n(u) = -31 + 8 + 5 + 39*u + 12. Let m(y) = 13*n(y) + 6*z(y). Calculate k(m(a)). -1521*a**2 Suppose m - 21 = -9. Let d be (m/21)/(8/28). Let s(t) = 2*t - d*t + 6*t**2 - 5*t**2. Let k(a) = 2*a**2. What is k(s(q))? 2*q**4 Let o(g) = 3239840*g**2. Let n(j) = -j. Give o(n(l)). 3239840*l**2 Let l(y) = 3*y - 18211. Let j(q) = 3*q**2. What is l(j(p))? 9*p**2 - 18211 Let a(n) = -n**2. Let h(x) = 6*x**2 + 41*x - 22. Let r(t) = t**2 + 8*t - 4. Let c(p) = 4*h(p) - 22*r(p). Calculate c(a(g)). 2*g**4 + 12*g**2 Let f(u) = -3*u. Let g(y) = 45*y**2 + 4*y - 4. Let z(a) = -134*a**2 - 11*a + 11. Suppose 9 = -k + 20. Let t(s) = k*g(s) + 4*z(s). Calculate f(t(h)). 123*h**2 Let c(k) = -2*k. Let o(l) = 11*l + 19594. Determine c(o(x)). -22*x - 39188 Let p(o) = -63*o**2. Let f(w) = 2*w - 6. Calculate f(p(j)). -126*j**2 - 6 Let j(y) = -8*y. Let b(q) be the first derivative of -5 - 2*q**2 + 0*q**3 + 1/24*q**4 + 0*q. Let s(o) be the second derivative of b(o). Give j(s(f)). -8*f Let x(s) = 63*s - 2. Let b(l) = 8*l**2. Determine x(b(y)). 504*y**2 - 2 Let o(u) = 30*u**2. Let b(w) = -3*w**2 - 2. Let i(z) = 17*z**2 + 10. Let j(h) = -5*b(h) - i(h). Give j(o(d)). -1800*d**4 Let p(c) be the third derivative of -c**5/120 + c**3/3 - 2*c**2. Let v(k) be the first derivative of p(k). Let s(y) = 3*y**2. What is s(v(d))? 3*d**2 Let i(f) = -17*f**2 + 17*f**2 - 3*f**2. Let s(l) = -273*l**2. Calculate i(s(d)). -223587*d**4 Let f(x) = 0*x + 6*x - 53 + 28 + 25. Let n(z) = -2*z + 4*z + z - 4*z. Determine n(f(b)). -6*b Let c(v) = -4*v**2. Let s(g) = -9*g**2 + 13*g + 57. Let q(x) = -2*x**2 + 3*x + 14. Let j(d) = -26*q(d) + 6*s(d). What is c(j(b))? -16*b**4 - 352*b**2 - 1936 Let o(x) = -30*x - 18*x - 23*x + 86*x. Let h(a) = -4*a. Give o(h(d)). -60*d Let o(s) = 4*s. Let c(g) = -36164*g**2. Determine o(c(m)). -144656*m**2 Let p(g) = 2*g**2. Let h(v) = 3*v - 20 - 14 - 39 - 6 + 14. Determine h(p(n)). 6*n**2 - 65 Let l(c) = -191*c**2 - 228. Let p(a) = -5*a. What is p(l(f))? 955*f**2 + 1140 Let i(h) be the first derivative of -1 - 5 + 2*h**2 + 4. Let t(r) = -2 - 1 - 122*r**2 + 124*r**2 + 3. Calculate i(t(o)). 8*o**2 Let v(d) = -7*d**2 - 4*d**2 + 12*d**2. Let y(z) = 3 - 3 - 4*z. Give y(v(c)). -4*c**2 Let r(c) = 40 + 11*c - 40. Suppose -4*b + 0*b + 12 = 0. Let m(z) = -4*z**2 + b*z**2 + 0*z**2. Calculate m(r(l)). -121*l**2 Let g(j) = 2*j. Let y(k) be the second derivative of -55*k**3/2 + k**2 - 58*k. Calculate g(y(u)). -330*u + 4 Let q(h) be the third derivative of h**4/24 + h**2. Let k(r) be the first derivative of 5/2*r**2 - 2 + 0*r. What is k(q(z))? 5*z Suppose -1 - 9 = 2*u. Let n(v) = -2*v**2 + 5*v. Let r(z) = 2*z**2 - 4*z. Let c(s) = u*r(s) - 4*n(s). Let o(g) = -g - 48. Give c(o(j)). -2*j**2 - 192*j - 4608 Let q(g) = 5*g**2. Let f(s) = -2*s**2 - 3*s**2 - 2*s**2 + 13*s**2. Give f(q(x)). 150*x**4 Suppose 3*i - 6*h + 4 = -h, -4*i + 5*h = 2. Let x(f) = 3*f**2 - 3*f**2 + 2*f**i. Let u(z) = -3*z. Give u(x(y)). -6*y**2 Let s(z) = -14 + 11 + 4. Let o(u) = u - 1. Let x(l) = -2*o(l) - 2*s(l). Let d(g) = 0*g - 3*g + 0*g. What is d(x(i))? 6*i Let d(j) = 80484 + 90*j - 80484. Let i(y) = 3*y. Calculate d(i(z)). 270*z Let k(j) = -j**2. Let i(r) = 235*r**2 - 2*r + 6. Let q(h) = -470*h**2 + 5*h - 15. Let d(b) = 5*i(b) + 2*q(b). Determine d(k(g)). 235*g**4 Let v = -10 + 12. Suppose u = -3*u. Let s(h) = v*h + u*h - 3*h. Let b(n) = 11*n**2. What is b(s(t))? 11*t**2 Let b(h) = 136*h**2 - 1. Let f(d) = 10*d**2 + 6. Determine b(f(k)). 13600*k**4 + 16320*k**2 + 4895 Let m(p) = 3*p**2. Let z(c) = -c**2 - 7*c - 25055. Calculate z(m(u)). -9*u**4 - 21*u**2 - 25055 Let j(a) = 19*a**2. Let p(l) be the third derivative of -7*l**4/24 + 84*l**2. What is p(j(i))? -133*i**2 Let h(z) = -z. Suppose -1 = u - 3. Let l(a) = 6*a**u + 130 - 130. What is l(h(f))? 6*f**2 Let g(i) be the second derivative of -i**6/720 - 5*i**4/12 + 8*i. Let h(d) be the third derivative of g(d). Let w(z) = -2 + 2*z + 2 + 0. What is w(h(f))? -2*f Let f(k) = 8*k**2. Let m(z) be the third derivative of -z**4/12 + 4*z**2 - 43*z. Give f(m(p)). 32*p**2 Let c(z) be the third derivative of z*
{ "pile_set_name": "DM Mathematics" }
ounded to the nearest 100000? 500000 What is 0.0000042383 rounded to seven dps? 0.0000042 Round -0.00000025583 to seven dps. -0.0000003 What is -0.0000024288 rounded to six decimal places? -0.000002 Round 0.145451 to 4 dps. 0.1455 Round 0.0007894 to 4 dps. 0.0008 Round -14.594 to the nearest integer. -15 Round -4570 to the nearest one thousand. -5000 What is -52000 rounded to the nearest one million? 0 Round -0.000027429 to 5 dps. -0.00003 What is -0.3402 rounded to three decimal places? -0.34 What is 0.0000126451 rounded to six dps? 0.000013 Round -0.000161704 to 6 dps. -0.000162 Round 80.976 to the nearest ten. 80 Round 5601.4 to the nearest 10. 5600 What is -0.40285 rounded to three dps? -0.403 Round -0.002469 to three decimal places. -0.002 What is -0.000005522 rounded to six decimal places? -0.000006 Round 0.0000013007 to 7 decimal places. 0.0000013 What is -0.00000045192 rounded to 7 dps? -0.0000005 What is 0.000036 rounded to three dps? 0 Round 0.0003024 to 5 dps. 0.0003 What is 0.000079983 rounded to five decimal places? 0.00008 What is -0.035421 rounded to three dps? -0.035 What is -124.4 rounded to the nearest ten? -120 Round 0.000548 to 3 dps. 0.001 Round 0.0000015782 to seven dps. 0.0000016 Round -997000 to the nearest 100000. -1000000 What is 234090 rounded to the nearest one hundred thousand? 200000 What is -11630 rounded to the nearest 10000? -10000 Round -46010 to the nearest one thousand. -46000 What is -70.14 rounded to zero dps? -70 What is 0.000035156 rounded to six decimal places? 0.000035 What is -0.0002916 rounded to 4 decimal places? -0.0003 Round 0.0004272 to 5 dps. 0.00043 What is 0.0761 rounded to three decimal places? 0.076 What is 0.74757 rounded to 3 dps? 0.748 What is -0.0000413 rounded to 5 decimal places? -0.00004 Round 0.0030397 to five decimal places. 0.00304 Round 3861 to the nearest 100. 3900 What is 64365000 rounded to the nearest one million? 64000000 Round 1164 to the nearest 1000. 1000 Round 636400 to the nearest 100000. 600000 Round 848.2 to the nearest 100. 800 What is -0.00207 rounded to 3 dps? -0.002 What is -0.0067676 rounded to 4 decimal places? -0.0068 Round 0.0006415 to 5 dps. 0.00064 What is -0.000522 rounded to four dps? -0.0005 What is -0.010502 rounded to three dps? -0.011 Round 0.0001665 to five decimal places. 0.00017 Round 566870000 to the nearest one million. 567000000 Round -585800 to the nearest ten thousand. -590000 Round -52050 to the nearest 10000. -50000 What is 97290000 rounded to the nearest 1000000? 97000000 Round 8890 to the nearest 1000. 9000 Round -10186000 to the nearest one hundred thousand. -10200000 What is 6.71 rounded to the nearest integer? 7 Round -295500 to the nearest 10000. -300000 What is -0.063558 rounded to two decimal places? -0.06 What is 247.5 rounded to the nearest ten? 250 Round -135700 to the nearest one thousand. -136000 What is 0.36225 rounded to three decimal places? 0.362 Round -1097700 to the nearest ten thousand. -1100000 What is 0.18943 rounded to two dps? 0.19 What is 10.4889 rounded to 2 decimal places? 10.49 Round -0.000551 to 3 decimal places. -0.001 What is 3.446 rounded to 0 decimal places? 3 Round -30189000 to the nearest 1000000. -30000000 What is -2.283 rounded to zero decimal places? -2 What is 0.000071468 rounded to five dps? 0.00007 What is 52.634 rounded to the nearest ten? 50 What is -11389.3 rounded to the nearest one thousand? -11000 Round 0.5665 to three dps. 0.567 Round -818000 to the nearest 100000. -800000 Round 1278000 to the nearest 100000. 1300000 What is -630000 rounded to the nearest 100000? -600000 Round 0.000000247 to 7 dps. 0.0000002 What is 0.0001099 rounded to 5 decimal places? 0.00011 What is -0.000001404 rounded to seven decimal places? -0.0000014 What is -0.0001121 rounded to 5 dps? -0.00011 What is -3528 rounded to the nearest 1000? -4000 Round -81.493 to the nearest integer. -81 Round -36.1 to zero decimal places. -36 What is 0.011089 rounded to three dps? 0.011 What is 6.85 rounded to one decimal place? 6.9 What is 20.87 rounded to the nearest integer? 21 Round -970390 to the nearest ten thousand. -970000 Round -206.1 to the nearest 10. -210 What is 0.0000211 rounded to five dps? 0.00002 What is 0.00106113 rounded to four dps? 0.0011 What is -2.662 rounded to 1 dp? -2.7 Round -2.78802 to two decimal places. -2.79 Round -1123 to the nearest one hundred. -1100 Round 0.003144 to 4 dps. 0.0031 What is 0.82457 rounded to two decimal places? 0.82 What is -0.0002137 rounded to 5 decimal places? -0.00021 Round -0.0002628 to five dps. -0.00026 Round 0.0000062797 to 7 decimal places. 0.0000063 Round -1884300 to the nearest 1000000. -2000000 Round -234 to the nearest one hundred. -200 Round -55.406 to the nearest 10. -60 Round 0.011081 to 4 decimal places. 0.0111 What is 3.007 rounded to one decimal place? 3 Round 0.6774 to two dps. 0.68 What is -14030400 rounded to the nearest one million? -14000000 Round -0.0007695 to 4 dps. -0.0008 What is -0.85119 rounded to 1 decimal place? -0.9 What is 0.0060509 rounded to 3 decimal places? 0.006 What is -89650000 rounded to the nearest one million? -90000000 Round 0.026934 to three dps. 0.027 Round 2335 to the nearest 100. 2300 What is 954900 rounded to the nearest 10000? 950000 Round 717900 to the nearest 10000. 720000 Round -2397000 to the nearest 100000. -2400000 Round 13.69 to 0 dps. 14 What is 29.617 rounded to 0 dps? 30 What is 832000 rounded to the nearest 1000000? 1000000 What is 242 rounded to the nearest one hundred? 200 Round 0.000053181 to six decimal places. 0.000053 What is 0.0000040712 rounded to 6 dps? 0.000004 What is 0.0002116 rounded to 4 decimal places? 0.0002 What is -10489500 rounded to the nearest one hundred thousand? -10500000 Round -0.002112 to 3 dps. -0.002 Round 50580 to the nearest one thousand. 51000 Round -879700 to the nearest one hundred thousand. -900000 What is 0.00006443 rounded to five dps? 0.00006 What is -0.001471 rounded to four decimal places? -0.0015 Round 0.00000075 to seven dps. 0.0000008 What is 0.144707 rounded to two dps? 0.14 What is -0.769 rounded to two decimal places? -0.77 Round 0.0000035875 to 6 dps. 0.000004 Round 1443.6 to the nearest ten. 1440 What is -3099300 rounded to the nearest one million? -3000000 What is 0.0004574 rounded to 4 dps? 0.0005 Round 0.0051579 to four dps. 0.0052 What is 21171000 rounded to the nearest one million? 21000000 What is 786.2 rounded to the nearest one hundred? 800 Round 0.0000059136 to 6 dps. 0.000006 What is -0.0002719 rounded to 5 decimal places? -0.00027 Round 0.001112 to four dps. 0.0011 What is 5305 rounded to the nearest 1000? 5000 What is -0.0000326 rounded to 6 dps? -0.000033 What is -17446000 rounded to the nearest 1000000? -17000000 Round 10130 to the nearest one hundred. 10100 What is 0.00007153 rounded to 5 dps? 0.00007 What is 0.09688 rounded to two decimal places? 0.1 Round -5404100 to the nearest 10000. -5400000 What is 41860 rounded to the nearest 10000? 40000 What is 58970000 rounded to the nearest one million? 59000000 What is -0.155493 rounded to two decimal places? -0.16 Round -169360 to the nearest ten thousand. -170000 Round -58.176 to 1 dp. -58.2 Round 3075600 to the nearest ten thousand. 3080000 Round 0.000014345 to seven decimal places. 0.0000143 What is -1696400 rounded to the nearest one hundred thousand? -1700000 What is 4.949 rounded to zero dps? 5 Round -0.0001918 to five dps. -0.00019 What is 2695000 rounded to the nearest one hundred thousand? 2700000 What is -0.0000382 rounded to five decimal places? -0.00004 Round -1.455 to 1 dp. -1.5 What is -300520 rounded to the nearest 10000? -300000 What is 0.00000229819 rounded to seven dps? 0.0000023 Round -11870000 to the nearest 1000000. -12000000 What is -0.037732 rounded to 2 dps? -0.04 What is -49.27 rounded to 0 decimal places? -49 What is -103100 rounded to the nearest ten thousand? -100000 Round 0.000013524 to 6 decimal places. 0.000014 Round -32.46 to 0 dps. -32 Round -209930 to the nearest one hundred thousand. -200000 Round -5.747 to 1 dp. -5.7 What is -0.0848 rounded to two decimal places? -0.08 What is -733270 rounded to the nearest one hundred thousand? -700000 Round -0.00000254 to seven decimal places. -0
{ "pile_set_name": "DM Mathematics" }
st derivative of 0*s**2 - 8/21*s**3 - 2/7*s**5 - 4/7*s**g + 0*s - 1/21*s**6 + 4. Let n(p) = 0. What is p? -2, -1, 0 Let q(y) = -y**3 + 4*y**2 + 8*y - 7. Let w be q(5). Let z = w - 8. Factor 2/5*l**4 + 4/5*l**3 + z*l**2 - 2/5 - 4/5*l. 2*(l - 1)*(l + 1)**3/5 Let j(r) be the second derivative of 5/3*r**3 + 0 - 5/2*r**2 + 5/4*r**4 + r. Let j(z) = 0. What is z? -1, 1/3 Let f(p) = p**3 - 15*p**2 - p + 25. Let h be f(15). Factor 5*k**2 - 3 + 5*k - h*k + 3. 5*k*(k - 1) Let q(f) be the second derivative of -f**4/12 + 67*f**3/6 + 69*f**2 - 204*f - 1. Let q(w) = 0. What is w? -2, 69 Let z(s) be the first derivative of s**4/3 - 20*s**3/3 + 18*s**2 - 11*s - 38. Let g(i) be the first derivative of z(i). Factor g(k). 4*(k - 9)*(k - 1) Factor -96/5*p + 3/5*p**2 + 768/5. 3*(p - 16)**2/5 Let l(x) be the second derivative of 0*x**2 + 0*x**5 + 1/147*x**7 + 2/105*x**6 - 1/21*x**3 - 26*x - 1/21*x**4 + 0. What is w in l(w) = 0? -1, 0, 1 Let i(v) = -3*v**4 - v**3 + v**2 + 11*v + 6. Let o(p) = 4*p**4 - 11*p - 6. Let w(u) = 6*i(u) + 4*o(u). Factor w(a). -2*(a - 2)*(a + 1)**2*(a + 3) Factor -28*a**2 - 2*a**3 - 3 + 4*a + 70*a**2 - a**4 - 38*a**2 - 2*a. -(a - 1)**2*(a + 1)*(a + 3) Factor -2/13*o**2 + 0*o + 32/13. -2*(o - 4)*(o + 4)/13 Let a = -7 - -2. Let f(h) = 9*h**3 - 8*h**2 + 8. Let m(t) = 15 + t**2 + 6*t**3 - 6*t**2 - 10. Let x(o) = a*f(o) + 8*m(o). Factor x(s). 3*s**3 Let t be 0/1 - 9/((-45)/10). Let i be (4 + -6 + t)*(2 + -1). Factor 3/5*l**2 - 2/5*l + i - 1/5*l**4 + 0*l**3. -l*(l - 1)**2*(l + 2)/5 Let d = -1867/15 - -249/2. Let v(t) be the second derivative of 13*t + 0*t**3 + 1/18*t**4 - d*t**5 + 0 + 0*t**2. Suppose v(y) = 0. Calculate y. 0, 1 Let m(z) be the first derivative of -z**6/1620 - z**5/135 - 2*z**3/3 - 9*z**2 + 44. Let i(v) be the third derivative of m(v). Factor i(d). -2*d*(d + 4)/9 Let o(w) be the second derivative of -w**4/4 + 4*w**3 + 6*w - 4. Find t, given that o(t) = 0. 0, 8 Let q(i) = -i**3 - 13*i**2 - 17*i + 3. Let x be q(-12). Factor -x*m**5 - 6*m**2 - 37*m**5 - 6*m**2 - 72*m**3 - 135*m**4 + 25*m**5. -3*m**2*(m + 1)*(5*m + 2)**2 Factor 1/8*s**3 + 11/8*s + 9/8*s**2 - 1/8*s**4 + 1/2. -(s - 4)*(s + 1)**3/8 Let r(k) be the second derivative of k**7/280 + k**6/120 - k**5/20 - 5*k**3/2 - 7*k. Let a(c) be the second derivative of r(c). Factor a(j). 3*j*(j - 1)*(j + 2) Suppose -2*y + 4*k = k - 5, -3*y - k = -13. Let d(i) be the second derivative of 0*i**2 + 1/8*i**y + 1/4*i**3 + 6*i + 0. Factor d(t). 3*t*(t + 1)/2 Factor -4/5*u**3 + 16*u**2 + 0 - 76/5*u. -4*u*(u - 19)*(u - 1)/5 Suppose 3*r - 2*k = 8, -4*r + 3*k + 10 = -1. Suppose r*f - o = -2*f + 17, 5 = f - o. Factor -7*w**3 + 22 - 12*w**2 - 22 + f*w. -w*(w + 2)*(7*w - 2) Let f(j) = -j**5 + 4*j**4 + 7*j**3 + 7*j**2 - j - 6. Let y(x) = -x**5 + 5*x**4 + 8*x**3 + 8*x**2 - x - 7. Let a(w) = -6*f(w) + 5*y(w). Let a(n) = 0. What is n? -1, 1 Let n(w) be the second derivative of w**7/36 + w**6/15 + w**5/40 - w**4/36 - 149*w. Factor n(l). l**2*(l + 1)**2*(7*l - 2)/6 Let k(g) = 4*g**3 + 1. Let a(q) = -41*q**3 - 2*q**2 - 11. Let s(d) = 2*a(d) + 22*k(d). Factor s(j). 2*j**2*(3*j - 2) Let f(a) be the second derivative of -2*a**6/15 + a**5/10 + a**4/6 - 512*a. Factor f(s). -2*s**2*(s - 1)*(2*s + 1) Let n(d) be the third derivative of -13*d**6/20 - 118*d**5/45 - 121*d**4/36 - 2*d**3/9 + 32*d**2. Factor n(x). -2*(x + 1)**2*(117*x + 2)/3 Let n(w) be the second derivative of w**7/2 - 26*w**6/15 + 21*w**5/10 - w**4 + w**3/6 - 20*w - 1. Determine l so that n(l) = 0. 0, 1/7, 1/3, 1 Suppose -2*i + 39 = 5*l, 0 = 2*l + 5*i - 6*i - 12. Let m be (-6)/(-42)*l/10. Factor 1/10*j**5 - 1/10*j**3 + 0 + 0*j - m*j**2 + 1/10*j**4. j**2*(j - 1)*(j + 1)**2/10 Let o(t) be the second derivative of t**5 + 29*t**4/6 + 20*t**3/3 + 4*t**2 + 84*t. Factor o(c). 2*(c + 2)*(2*c + 1)*(5*c + 2) Let g = -18 - -24. Suppose 0 = 2*p - g*p. Factor 1/2*y**4 + 0 - 1/2*y**2 - 1/2*y**3 + p*y + 1/2*y**5. y**2*(y - 1)*(y + 1)**2/2 Factor -50*o - 25*o + 10*o**2 - 87 + 14 - 20 - 87 + 5*o**3. 5*(o - 4)*(o + 3)**2 Factor -37 - 15*y - y**2 + 56 - 45. -(y + 2)*(y + 13) Let y(h) be the second derivative of -1/14*h**3 + 0 - 1/70*h**5 - 6*h - h**2 + 3/56*h**4. Let k(f) be the first derivative of y(f). Suppose k(l) = 0. What is l? 1/2, 1 Let n(p) be the third derivative of 4*p**7/105 - 7*p**6/30 + 2*p**5/5 + p**4/6 - 4*p**3/3 - 11*p**2. What is r in n(r) = 0? -1/2, 1, 2 Let u be -44*2/(-28) + (-3)/21. Factor -o**u + 4*o + 8*o**2 - 3*o**3 - 3 - 5. -4*(o - 2)*(o - 1)*(o + 1) Let m = 430/1281 + -1/427. Let s(f) be the second derivative of -7*f + 0 - m*f**3 + 0*f**2 - 1/6*f**4. Determine a, given that s(a) = 0. -1, 0 Suppose 3*g - 2*a - 13 = -a, 4*g - 8 = -a. Let v be (7 + 164/(-23))/(21/(-483)). Factor v*l**4 + 0 - l**g - 1/3*l - 5/3*l**2. l*(l - 1)*(3*l + 1)**2/3 Solve 52*u**3 + 31*u - 58*u + 32*u**2 + 4*u**4 + 27*u + 18*u**4 + 2*u**5 = 0 for u. -8, -2, -1, 0 Let s(o) be the third derivative of o**8/33600 + o**7/4200 - o**5/150 - 5*o**4/24 + 30*o**2. Let c(p) be the second derivative of s(p). Factor c(x). (x - 1)*(x + 2)**2/5 Let c = -15 + 18. Let q = 51 - 30. Factor -q*b - c*b**2 - 37*b**2 + 15 + 48*b**3 + 3. (3*b + 2)*(4*b - 3)**2 Let p(c) = 32*c**4 + 60*c**3 - 48*c**2 - 220*c - 96. Let s(y) = 13*y**4 + 24*y**3 - 19*y**2 - 88*y - 38. Let g(t) = 5*p(t) - 12*s(t). Factor g(z). 4*(z - 2)*(z + 1)**2*(z + 3) Let d(l) be the second derivative of 22/3*l**3 + 1/5*l**5 + 7/3*l**4 - 16*l + 0 + 10*l**2. Determine m, given that d(m) = 0. -5, -1 Let c be (-480)/432*(-24)/10. Determine o, given that -20*o**3 + c + 50/3*o**4 - 22/3*o**2 + 8*o = 0. -2/5, 1 Let a(n) = 4*n**4 + 4*n**3 - 2*n**2 - 4*n + 2. Let o(t) = 5*t**4 + 5*t**3 - 2*t**2 - 5*t + 3. Let y(d) = -3*a(d) + 2*o(d). Factor y(i). -2*i*(i - 1)*(i + 1)**2 Let l(x) be the first derivative of x**3/7 - 237*x**2/7 - 477*x/7 + 236. Factor l(j). 3*(j - 159)*(j + 1)/7 Let g(q) = -9*q**2 + 91*q - 521. Let z(u) = -14*u**2 + 136*u - 776. Let j(v) = 8*g(v) - 5*z(v). Factor j(l). -2*(l - 12)**2 Factor 20*d - 48/7 + 94/7*d**2 + 2*d**3. 2*(d + 3)*(d + 4)*(7*d - 2)/7 Let u(f) be the third derivative of f**9/3360 + f**8/5040 + f**5/60 + 5*f**4/24 + 4*f**2 - 5. Let p(y) be the third derivative of u(y). Factor p(o). 2*o**2*(9*o + 2) Let b(s) be the second derivative of -s**5/120 - 43*s**4/72 - 110*s**3/9 + 121*s**2/3 + 45*s. Factor b(n). -(n - 1)*(n + 22)**2/6 Let r = -3 - -7. Suppose -3*a + 5*a - r = 0. Suppose -2*w + 0*w + 0*w + 4*w - 2*w**a = 0. What is w? 0, 1 Let t(q) be the third derivative of -q**5/210 - 13*q**4/21 - 676*q**3/21 + 249*q**2. Factor t(f). -2*(f + 26)**2/7 Let c(y) = -y**4 - y**2 - y - 1. Suppose 0 = 3*i - 2*i - 1. Let r(q) = -10*q**4 + 36*q**3 - 18*q**2 + 10*q + 6. Let o(d) = i*r(d) + 6*c(d). Factor o(p). -4*p*(p - 1)**2*(4*p - 1) Suppose -10*d + 14*d = -10*d. Find k such that 3/4*k**4 + d*k**3 + 3/2*k + 0 - 9/4*k**2 = 0. -2, 0, 1 Suppose -202*w + 408 + 102 = -298. What is z in 3/2*z**3 + 0 + 0*z - 1/4*z**2 + z**5 - 9/4*z**w = 0? 0, 1/4, 1 Let 5*k**4 - 74*k - 105*k**3 - 103*k - 1000 + 590*k**2 - 123*k = 0. What is k? -1, 2, 10 Let c(y) be the third derivative of -3*y**6/220 + y**5/330 + 3*y**4/44 - y**3/33 + 2*y**2 - 60. Find s, given that c(s) = 0. -1, 1/9, 1 Let k(v) be the second derivative of v**8/20160 - v**7/3360 + v**6/2160 - 25*v**3/6 - 33*v. Let c(r) be the second derivative of k(r). Factor c(m). m**2*(m - 2)*(m - 1)/12 Let y(b) be the second derivative of 7*b**6/135 + b**5/6 + b**4/6 + b**3/27 + b - 87. Factor y(z). 2*z*(z + 1)**2*(7*z + 1)/9 Let y be (32/(-192))/(-1 - (-20)/22). Factor w + w**3 + 1/6 + y*w**2. (w + 1)*(2*w + 1)*(3*w + 1)/6 Let q(u) = -6*u**5 + 17*u**4 + 12*u**3 - 23*u. Let m = 61 - 55. Let n(x) = x**5 - 3*x**4 - 2*x**3 + 4*x. Let v(j) = m*q(j) + 34*n(j). Factor v(k). -2*k*(k - 1)**2*(k + 1)**2 Let f be 2/2 + 50/(-12). Let r = f + 7/2. Factor -2/3*z**4 + 2/3*z**2 + 0*z**3 + 0 + r*z - 1/3*z**5. -z*(z - 1)*(z + 1)**3/3 Let f = -7 - -10. Let x(s) = s**2 - 4*s - 2. Let o be x(5). Factor -f*t**4 + 2*t - 4*t - 6*t**o + 3*t**2 + 3*t**3 + 5*t. -3*t*(t - 1)*(t + 1)**2 Let c(n) be the second derivative of 24*n**5/5 - 2*n**4 + n**3/4 + 3*n - 9. Find k, given that c(k) = 0. 0, 1/8 Suppose 3*f - 2*g - 18 = 0, -f - 3*g + 7 = -4*g. Suppose 3*n - 2*h = -0*n + 16, 0 = 3*n + h - 10. Find q, given that -4*q**n
{ "pile_set_name": "DM Mathematics" }
for c. -1 Let f(m) = 30*m**3 - m. Let o be f(1). Solve 8 = 3*g + 5*h, -o = 4*g - 3*h - 1 for g. -4 Suppose -3*y + 6 = -y. Suppose -y*g - 2*g + 20 = 0. Suppose 0 = -g*c + 2*z - 2, 3*z = -4*c - 3 + 26. Solve -4*q - c*l = 8 + 2, l - 3 = 0 for q. -4 Let w(y) = -96 + 100 - 12*y + 2*y + y**2. Let i be w(10). Solve 0 = 3*r - 5*a + 5, -r + 0*r - i*a = -21 for r. 5 Let n(a) = -a**2 - 5*a + 1. Let w be n(-4). Let v(t) = -t**2 + 4*t + 7. Let l be v(w). Solve 11 = -5*h - 3*j, l*h - 3*h = -j + 7 for h. -4 Suppose 0 = -3*x, -2*g - 5*x = 3*g - 30. Suppose 9 = -3*h + g*h. Solve -h*o + 5 = 5*m, -o = -5*m + 5 - 0 for o. 0 Let a = -57 + 60. Solve -5*d = 3*l - a - 1, -3 = 3*d for l. 3 Suppose -9*k = k - 50. Solve 2*c - 4*z + 6 + 6 = 0, -k*c = -z + 3 for c. 0 Let o be (2/(-4))/(1/6). Let p be -3*1/o - -7. Suppose t = -5*j + p, -2*j = -0*t + 2*t. Solve 8 = -3*w + 4*h, 0 = -j*w - 0*w + 5*h - 10 for w. 0 Let v(a) = a + 10. Let s be v(-9). Suppose -3 = -2*d + x, -x - 2 - s = 5*d. Solve d*t - 5*t - 3*m - 7 = 0, 4*m + 11 = -5*t for t. 1 Suppose 0 = 3*r - 2*t - t + 9, 2*r + 14 = 4*t. Let y = 2 + r. Solve 2*g + y*m - 15 = 4*g, -5*g + 5 = m for g. 0 Let k be ((-2)/(-4))/((-1)/(-6)). Let i = 5 - k. Solve 1 = -3*m - o, 0 = 4*m - m + i*o - 1 for m. -1 Let q = 6 - 2. Let k(y) = -2*y + y**2 + q - 4. Let c be k(3). Solve 0 = -5*s - c*f - 30, f + 13 = -s - f for s. -3 Let k(z) = -3 + 0 + 4 + 2*z**2 - 3 + 2*z. Let p be k(-2). Solve -w = 2*c - 9, 5*c - 22 = -p*w - 2 for c. 2 Let o be 6/(-3)*(-1 - 5). Solve -5 = 5*c + 2*q + 7, 4*c + o = -q for c. -4 Let c(w) = w**2 + 4*w - 2. Let z be c(-5). Solve 0*p + p + 1 = -z*q, 0 = -q + p + 1 for q. 0 Suppose 0 = b + 1 - 6. Suppose 2 = s + 7. Let v = b + s. Solve 2*u - 4 = 3*z, v*z + 2*z = -5*u + 10 for z. 0 Let n(o) = o**3 - 7*o**2 + 7*o - 6. Let y be n(6). Suppose y = -g + 2*g - 4. Solve -5*v + 7 = g*q, 2*q + 10 = -4*v + 4*q for v. -1 Let w(r) = -r**3 - 5*r**2 + 7*r + 6. Let l be w(-6). Suppose 17 = 3*m - 1. Suppose 0*f - 3*f + m = l. Solve 4*t + 12 = -2*h, -1 = -f*h - t - 7 for h. -2 Suppose -4 - 12 = 4*i. Let j = 3 - i. Solve j*o = -5*s + 6*o - 2, 5*s = -5*o + 10 for s. -1 Suppose 4*m + 3*b + 2 = -1, 5 = -m - 5*b. Let u = 3 + m. Suppose 10 = -v + u*v. Solve -i + 3 = -3*f, -12 = v*f - i - 3*i for f. 0 Suppose 7*c = 10*c - 15. Solve -5*q + q = 4*b + 8, -5*q = -c*b for q. -1 Let m(r) = 2*r - 4. Let b be m(3). Solve 5*p + 27 = -4*z - 0*z, 0 = -b*z - 2*p - 12 for z. -3 Suppose -3*o + 3*p + 15 = -3, 0 = -3*o - 4*p - 10. Solve 5*r + 2*n = 26, -o*r - 7 + 0 = -5*n for r. 4 Suppose 0 = -k - 3*m + 13, 4*k - m - 32 = -3*m. Solve -f - 4*w = -k + 3, -3 = 5*f - 3*w for f. 0 Let w(c) = -c**2 - 9*c - 7. Let m be w(-3). Solve -m = 2*y + 3*a, 0 = 3*y + 3*a + 10 + 5 for y. -4 Let h(q) = -8*q - 20. Let r be h(-3). Solve 2*c + 0*c = 5*l + 27, -r*c = -4 for l. -5 Suppose -2 = c, 0 = 4*n - 2*n - c - 8. Suppose -n*x = -v - 9, -3 = -v - 4*x + 16. Solve 0 = -4*g - 0*k + 5*k - 4, -v*g + 4*k = 3 for g. -1 Let v be (0 + -2)/(3/(-27)). Suppose -3*n + 0*n + v = 0. Suppose 0 = 2*i - n*i. Solve i = 5*l + 2*s - 3, -3*s = -l + 2*s - 21 for l. -1 Let l be (2/6)/(2/6). Let n be l/(((-3)/(-18))/1). Let c be (-3 + 1)*n/(-4). Solve 3*d = 0, 8*m - 2*d = c*m + 25 for m. 5 Let g be 0/(2/(-2)) - -5. Let a be 20/(-2) - (1 - 4). Let c = a - -10. Solve v + 2 = 3*l, -g*v + c*l + 2 = -0*v for v. 1 Let o(l) = 4*l - 7*l + 2*l + 14 - l. Let h be o(6). Solve -h*n + 35 = 3*j + 2*j, 3*j - 3*n = 0 for j. 5 Suppose 100 = -4*c - 4*t, 5*c + 4*t - 21 = -145. Let g = -14 - c. Solve -2*a = -4*o + 14, 0 = 4*o + 5*a - g - 11 for o. 4 Let o(h) = h**2 - 6*h + 5. Let i be o(6). Let v = -1 + 3. Suppose v*g = -g + 75. Solve a = -f - a - i, -5*f + 5*a - g = 0 for f. -5 Let q(r) = r + 5. Let c be q(-3). Let x = c - 4. Let d = 4 + x. Solve 5*w - 2*i - 9 = 0, -3*w - 3*i - d = 1 for w. 1 Suppose 3*t + 5*b - 6*b = 11, -5*t + 15 = -b. Solve -3*o - t*g = -0*o - 23, -g = -4 for o. 5 Let t = -25 + 27. Let r = 13 + -7. Let y be 10/6 + 2/r. Solve 4*a - y*m = -10, a - 2*a + t*m = 10 for a. 0 Let w(t) = -t**2 - 6*t. Let l be (-3)/(-2) + 26/(-4). Let a be w(l). Solve 4 = 4*b + 3*g, a*b - g - 4 = b for b. 1 Suppose -6*b = -11*b + 15. Solve 3*d + 3 = t + 4*d, d + b = t for t. 3 Suppose 5*f = -5*l + 2*f + 21, 0 = 4*l + 2*f - 16. Solve -l*x + 14 = r, 8*r - 3*r - 4*x + 25 = 0 for r. -1 Suppose -4*d + 12 = -2*d + o, 0 = -5*d + 4*o + 4. Solve -32 = d*y + 4*q, y - 4 = 2*q + 3 for y. -3 Let o = -3 + 5. Suppose 0 = -5*x - 4*s - 4, -2*s + 0 = -o*x + 2. Let k = x + 2. Solve -1 = -4*l - 3*h - 24, -h = k*l + 11 for l. -5 Let u = -6 - -3. Let s = u + 7. Solve -2*i = -3*x - 14, s*i + 6 = -4*x - 6 for x. -4 Suppose 0 = -0*x - 5*x - 5. Let a(g) be the first derivative of -9*g**2/2 + 2. Let v be a(x). Solve 0 = 4*b - 5*r - 14 + 38, -v = b - 2*r for b. -1 Suppose -7*t + 5*t = -16. Solve 0 = -2*w + 3*w + 2*k + t, k = 2*w + 6 for w. -4 Let v = 2 + -4. Let h be 0 - (v + (-1 - 0)). Suppose -h + 1 = -s. Solve -2*p + 7 = 4*r + 3, 4*p + 3*r + s = 0 for p. -2 Suppose 2*k = 2*s - k + 3, -6 = 3*s - 5*k. Solve s*i = -5*l + l - 12, 5*l = -2*i - 8 for l. 0 Let c(v) = -2*v + 25. Let q be c(11). Solve 12 = -0*x + q*x, -5*o + 4*x = -9 for o. 5 Let g = 5 - 3. Let v be (2/g)/((-2)/(-6)). Suppose 4 - 6 = -v*d - 5*s, 15 = -3*s. Solve 2*a + 3*c = -a + d, 3*a + 7 = 5*c for a. 1 Let r be (5/(-10))/((-1)/20). Solve -r = 4*w - 2*n, 2 = -2*w - 5*n + 15 for w. -1 Suppose 0 = -4*m - 2*x + 24 + 4, 5*x = -3*m + 35. Suppose -2*q = 2*q - 40. Let r = -8 + q. Solve -5*o + 3 = r*g - 14, -2*o = -g - m for g. 1 Let w(i) = -i**2 - 9*i - 9. Let l be w(-7). Solve -l*t + 6 - 27 = 3*d, -t + 2*d + 1 = 0 for t. -3 Let c = 4 + 0. Suppose 0 = 5*b + c*f + f - 20, -2*b = 3*f - 9. Solve b*a - 6 = -2*p, -5*a + 0*a + 5*p = 15 for a. 0 Let n be (-34)/(-10) - (-10)/(-25). Suppose -3 = -n*u + 3. Solve -4*k - 15 = x, 0 = -3*k + u*k - 4*x for k. -4 Suppose x = -4*x. Suppose -3*w = -88 - 44. Suppose -w = -5*u + u. Solve q = 3*a - u, -5*a - 3*q + 5*q + 19 = x for a. 3 Let h be (5/(-5))/(1/1). Let w be (-2)/2 - 1*h. Suppose w = -2*z + 10. Solve 0 = -3*c - 2*c - z*p + 15, 3*c = 5*p - 31 for c. -2 Suppose 1 - 10 = -3*v. Let a be -2 + v*8/6. Let r = a + 1. Solve 3*w + 4*i = 7, 0*i + r*i = 3 for w. 1 Suppose 3*i = n - 28, i + 4 = -0*i - n. Let y be (8/(-12))/(i/36). Solve 5*a + 3*u - 35 = 0, 13 = y*a - a + u for a. 4 Suppose 86 = 4*c - 2*m, -c + 1 + 7 = 4*m. Suppose -2*i - 3*i + c = 0. Solve 8 = 2*a - i*a, -4*n - 3*a = 0 for n. 3 Suppose m = -1 + 2. Let z = 3 - m. Solve -c - 8 = z*v + v, -v = c for v. -4 Let y be (66/8)/(-3)*-12. Suppose -3*g - 3 = -y. Solve 10 = -n - 2*q, -2*n + q + g = -5*n for n. -2 Let y(v) = 4*v**2 + v. Let a be y(1). Let k be (3/6)/((-3)/(-24)). Let l be 30/8 + k/16. Solve -2*u = l*i - a + 3, u - 4*i = -11 for u. -3 Let m be -2 - (1 - (-1 + 4)). Solve -4*v - t - t - 20 = m, -5*v - 3*t = 26 for v. -4 Let p = 8 - 3. Let l be ((-6)/(-2) - p) + 2. Solve 3*d + 3 = 2*u + 3*u, l = 4*d - 4*u + 4 for d. -1 Let h = -128 + 129. Solve -5*t - h = d - 16, 3*d = t + 13 for t. 2 Suppose y - 3*m - 2 = 0, -4*y + 3*m + 15 = -11. Let d be y + 6/3*-1. Let t = -5 + d. Solve 4*z - 19 = -3*v, t = -3*v - 3*z + 16 for v. 1 Let y be (-42)/(-11) + 26/143. Suppose 0 = -4*m - f + 13, y = 4*m + 2*f + 2*f. Solve k + 2*k - 21 = -m*r, -k = -r for r. 3 Suppose 4*n + g + 0*g - 76 = 0, -5*n + 82 = -2*g. Let j(w) = w**3 + 8*w**2 + 13*w + 9. Let a be j(-6). Solve -p = -0*p + a*c + 14, n = 3*p - 3*c for p. 1 Let z be (-411)/(-27) - 2/9. Let d = z + -8. Suppose -5*l + 17 = -2*o, 2 - d = 5*o - 5*l. Solve 0 = t + 3, o*n = 2*t - 0*t + 18 for n. 3 Let j = -10 - -21. Solve -2*m - 3 - j = 3*f, -4*f - 15 = -m for f. -4 Let q(z) = -z - 9. Let c(m) = -2*m + 3. Let y be c(7). Let b be q(y). Let n be (-15)/3*(-2)/b. Solve -n*x + l - 6*l - 5 = 0, 25 = 3*x - 4*l for x. 3 Let z be (-8)/(-4)*5/2. Let n be (3 + -2)*-12 + -3. Let q = -11 - n. Solve 0 = -p - 3*j + 14, -q*j - j = -2*p - z for p. 5 Suppose -4*q - 23 = -o - 3, 3*o = -5*q - 8. Let m(w) = w**2 + 4. Let d be m(0). Solve -c - 4*t + 6*t + d = 0, c + 4*t = o for c. 4 Let x = -12 + 22. Suppose -2*f + 11 = 3*y - 2, 3*y + 5*f = x. Solve -4*l + p + 14 = 0, 0 = l - y*p - 1 + 7 for l. 4 Let d(g) be the third derivative of -g**4/24 - 3*g**3/2 - 2*g**2. Let z be d(-10). Let q be 1/z -
{ "pile_set_name": "DM Mathematics" }
e Let q be (-8)/10*(-5 - 0). Suppose 0 = q*f - 4, 0*a - f = -a + 25. Let x = -11 + a. Is x composite? True Suppose -4*q + 8 = -0*q. Let n be ((-3)/q)/((-6)/16). Suppose 0 = 4*t - 16, 6*u - 1281 = u - n*t. Is u composite? True Is 72/(-48) + (-20617)/(-2) composite? True Suppose -5*l - p = -8, 2 = -l + 2*p - 4*p. Suppose 2*q - q + l*o - 2555 = 0, -5*o = -q + 2562. Is q a composite number? False Let x be (-112)/6*(-225)/5. Let n = x - -283. Is n a composite number? False Suppose 2*b + 3*m - 12628 = -0*m, -m - 6309 = -b. Is b a prime number? True Is 4653 - 11/(66/(-60)) prime? True Let j(i) = i**2 + 9*i + 2. Let z be j(-9). Suppose 4*x - 4 = -2*l, z*l - 5*x = -0*l + 13. Suppose 7*h - l*h = 861. Is h a composite number? True Suppose 7 = 3*f + 4*c - 11, 3*c - 9 = 0. Suppose 0*t - t = -i - 522, -f*i + 1024 = 2*t. Is t composite? True Let s(l) = l**3 + 43*l**2 + 34*l - 41. Is s(-29) a composite number? True Is (18/(-27))/(8/(-30516)) a composite number? False Let k(l) = -l**3 - 10*l**2 + 11*l + 4. Let b(t) = -2*t**2 + 4*t + 5. Let j be b(4). Let i be k(j). Suppose 621 = 5*o - i*r, -o - r + 99 + 18 = 0. Is o prime? False Let j(b) be the second derivative of -167*b**3/6 + b**2 - b. Let s be 3*(-2 + (-10)/(-6)). Is j(s) composite? True Let c(o) = -9*o + 2. Suppose -24 = -p - 2*p. Suppose -y - p = y. Is c(y) a composite number? True Suppose 0*d + 4 = -2*d. Let a(c) = -c + 3. Let n be a(d). Suppose 0 = n*o - 0*o - 1270. Is o a composite number? True Suppose 4*t + y - 33 = -t, -y + 5 = t. Suppose 0 = -0*o - t*o + 1337. Is o prime? True Let w(z) = -z**3 + 5*z**2 - 2*z + 4. Let p be w(5). Let h(t) = 10*t**2 + 2*t - 11. Is h(p) prime? True Suppose 5*a + 7141 = 2*z - 1862, 2*a + 22497 = 5*z. Is z a prime number? False Suppose -2*r = -f + 123479, 0 = 3*f + 12*r - 9*r - 370437. Is f prime? True Let a(m) = m**3 - m**2 - m + 5. Let t be a(0). Suppose 0 = h - 4*p + 21 - 3, 5*h + t*p - 35 = 0. Suppose h*x = -x + 3801. Is x a composite number? True Let t be 1 + 2/(8/12). Let f(z) = -3 + 6 - 3*z - 5 + 1 - 18*z**3 - t*z**2. Is f(-4) prime? False Let a(h) = -h**3 + 12*h**2 + 12*h + 15. Let y be a(11). Suppose -5*g - y = -9*g. Is g prime? True Let b(r) = -r**3 - r**2 + 4*r - 1. Let o be b(-3). Suppose d - 454 = -4*s, -5*s + d = o*d - 573. Let x = s + -22. Is x a prime number? False Let y(t) = t - 3. Let p be y(8). Suppose -p*l + 4*l = -209. Is l a prime number? False Suppose -5*d - 3*w + 14650 = 0, 8*d - 5*w = 3*d + 14610. Is d prime? True Suppose -547 = -3*c + 2480. Let w = c + -564. Is w a prime number? False Let i(y) = 94*y**2 + 7*y - 39. Let o(z) = 141*z**2 + 11*z - 58. Let q(u) = -7*i(u) + 5*o(u). Is q(-6) a composite number? True Suppose -3*g = -8*g + 50. Suppose 0 = -3*m - g*l + 8*l + 8315, 5*m - 13869 = 2*l. Is m composite? True Let w(o) be the first derivative of 17*o**3/3 - o**2/2 - 7*o + 6. Is w(-3) composite? False Let q = 5768 + -1123. Is q a composite number? True Let q(n) = 66*n**2 + n. Let v(z) = -z**3 + 7*z**2 - 5*z + 7. Let o be v(7). Let c = -29 - o. Is q(c) a composite number? True Let i(b) be the first derivative of -b**4/4 - 13*b**3/3 - b**2/2 - 5*b - 6. Let t be i(-13). Is t/(-6) + 1278/27 a prime number? False Suppose -5*c + d + 10 = 0, d = -4*d. Suppose 877 - 2215 = -c*t. Is t composite? True Let q = 341 - 925. Let r = q + 229. Let c = r + 848. Is c a prime number? False Is (-7 - -15)/4*179351/2 composite? False Let p = -58 + 1171. Is p - (26/(-10) - (-12)/20) prime? False Let a = 295220 + -175861. Is a a composite number? False Suppose -n = -u, 3*n + 0*u + 6 = 5*u. Suppose 6*j - j = -4*s + 30, 14 = 4*s - n*j. Suppose -s*r = -5*l + 3135, -5*l + r + 3353 = 202. Is l a prime number? True Suppose 0 = -3*j + 7*j - 8. Suppose 2735 = j*x - 3*u, 2*x + 4092 = 5*x - u. Is x composite? True Let k(m) = 0*m - 2*m - 13 - 11*m**2 - m**3 - m**3. Is k(-12) prime? False Let s be -3*(-2 - 860/12). Let r(w) = 2*w**3 - 3*w**2 + 3*w. Let y be r(2). Let u = s - y. Is u composite? False Suppose -3*i = 2*i - 840. Let c = -32 + 21. Let t = c + i. Is t prime? True Let m be (-45)/(-15) - (5 - 0). Is m/((-4)/3378*3) composite? False Suppose 0 = -9*i + 13425 + 1488. Is i prime? True Is (3/(-9))/(11/(-3165063)) prime? True Is (-20013)/(-14)*(-2)/(-3) a prime number? True Let f = -1354 + 2739. Is f prime? False Suppose 0 = -a + 6*a + 5. Let g be 6*(4 - 3)/a. Is g/(-4)*(-176)/(-12) prime? False Let q be -4 + 10242/4 - 1/(-2). Let t = 6084 - q. Is t a composite number? False Let u(p) = 36*p**2 + 3*p + 41. Suppose -5*i - 76 + 136 = 0. Is u(i) a composite number? False Suppose -15*c + 23*c - 88 = 0. Suppose -16*y + c*y + 12135 = 0. Is y a prime number? False Suppose 2 = 2*f - n, n + 0 + 2 = 4*f. Suppose f*o - 2215 = -5*o. Is o prime? True Suppose 0 = -3*m - 4*i + 67, -1 = -2*i + i. Let g be (12/7)/(5/(-35)). Let h = m + g. Is h a prime number? False Let a(y) = -12*y + 7. Let d(x) = -1. Let p(w) = a(w) + 2*d(w). Suppose -4*i - 5*u = 9, 2*i + 11 + 4 = u. Is p(i) composite? True Suppose -3*k + 0*k = 2*s - 12869, 0 = 5*k - 5*s - 21490. Let u = -1522 + k. Is u composite? True Let a = 45927 - 18004. Is a composite? True Let w(d) = -1896*d**3 - d**2 + d + 2. Let y be w(-1). Let t = y + -1187. Is t a composite number? False Let t = -52237 + 81632. Is t prime? False Suppose 2170 + 2170 = -5*y. Let k be (y/(-8))/7*6. Suppose -k - 86 = -l. Is l a composite number? False Let i(j) = 2*j**2 - 21*j - 42. Let p(t) = 3*t**2 - 43*t - 84. Let l(x) = -5*i(x) + 3*p(x). Is l(-21) a prime number? False Suppose -a - 1058 = -l, 1074 = l + 3*a + 36. Is 10/25 + l/5 a prime number? True Let f(k) = -199*k - 1. Let j be f(-5). Suppose 0 = 2*s + 4*y - j, 395 = 4*s - 4*y - 1569. Is s a composite number? True Is (-3)/12 + (-13 - 4964750/(-56)) composite? False Suppose 14*m + 3273 = 15*m. Let l = m - 1676. Is l a prime number? True Let j(l) = 2742*l + 175. Is j(9) prime? False Let c be (2*(-5)/9)/((-1)/9). Let b(d) = -33*d + 28. Let w(u) = 8*u - 7. Let k(h) = 2*b(h) + 9*w(h). Is k(c) a prime number? True Is ((-269)/(-1))/(-9 - (-236)/26) prime? False Let v(y) = 3*y + 5. Suppose -4*x + 2*x - 6 = 0. Let a be v(x). Is (1 + -1227)*a/8 a prime number? True Let k(y) = -y**3 - 11*y**2 - 10*y + 5. Let l be k(-10). Is ((-134)/(-4) + (-20)/l)*2 a prime number? True Let h(g) = 4*g**2 + 21*g - 2. Let s be -3*4*(-4)/(64/20). Is h(s) a prime number? True Let s be ((-3)/(-12))/(1/20). Suppose -s*u + 3052 = -u. Is u prime? False Let d(s) = -3*s**3 - s**2 + 3*s + 1. Suppose 0 = 2*p - 0*p - 20. Let x = 8 - p. Is d(x) prime? False Let q(b) = -101*b + 18. Let v(t) = 50*t - 9. Let c(g) = 6*q(g) + 13*v(g). Is c(5) a prime number? True Is ((-312)/468)/((-4)/676122) prime? True Suppose -9605 = -4*w + 3*z + 18359, 2*w + z = 13972. Let p = -3167 + w. Is p a composite number? False Suppose 7*w - 716 = 6*w. Let m = 531 + w. Is m a composite number? True Let x be 1/((-2)/(495 + -1)). Let f = x - -669. Suppose c = -5*i + 2*i + f, -5*c + 2092 = -3*i. Is c prime? True Let d(l) be the first derivative of 21/4*l**4 + 1/2*l**2 - 7 - 2/3*l**3 + l. Is d(2) a composite number? False Let u(v) be the second derivative of -2*v**3 - v**2/2 + 3*v. Let a be u(-6). Suppose -4*o + 931 = a. Is o a composite number? True Let f(v) = -v**2 + 7*v - 3. Suppose -2*t - 25 = -7*t. Let p be f(t). Suppose p*y = 681 - 163. Is y a composite number? True Let n = -17 + 22. Suppose 0 = -n*p - 2*w - 1944, -3*w - 2 = -2*w. Let u = p + 549. Is u a composite number? True Let o(a) = -a**3 + 25*a**2 - 22*a - 25. Is o(22) a prime number? False Let m = 2597 - -13122. Is m composite? True Let j(s) = 0*s - s - 2*s**2 + 3*s**2 - 2*s**2. Let a be j(0). Suppose z + 2*z - 21 = a. Is z a prime number? True Let q(i) = i + 18. Let t be q(-14). Suppose -t - 4 = -2*c. Suppose -2*j + c*j - 102 = 0. Is j composite? True Let v = 1456 + -199. Is v a composite number? True Suppose 13*i - 9*i - 4*t - 13432 = 0, -16775 = -5*i + 2*t. Is i prime? False Let a be (8/(-12))/(8/(-10740)). Suppose 204 = -h + a. Is h composite? False Is 151053*-1*(9 + (-476)/51) composite? True Let v be 0*(-1 - -3)/4. Suppose x = -v + 6. Is x a prime number? False Let z(c) = 26*c**2 - 4*c + 17. Let t be z(12). Suppose 5*w + 725 = x, -3*x + t = 2*x - 3*w. Is x a composite number? True Suppose -2 = -4*x + 10. Suppose 0*c -
{ "pile_set_name": "DM Mathematics" }
at is the cube root of 52779 to the nearest integer? 38 What is the fourth root of 107249 to the nearest integer? 18 What is the square root of 377197 to the nearest integer? 614 What is the sixth root of 92986 to the nearest integer? 7 What is the sixth root of 590142 to the nearest integer? 9 What is 1356169 to the power of 1/2, to the nearest integer? 1165 What is 1431300 to the power of 1/2, to the nearest integer? 1196 What is the square root of 22986 to the nearest integer? 152 What is the square root of 3089768 to the nearest integer? 1758 What is 635060 to the power of 1/3, to the nearest integer? 86 What is the fifth root of 14730 to the nearest integer? 7 What is 2406953 to the power of 1/3, to the nearest integer? 134 What is 8158901 to the power of 1/2, to the nearest integer? 2856 What is the tenth root of 1464517 to the nearest integer? 4 What is the sixth root of 415020 to the nearest integer? 9 What is 612435 to the power of 1/3, to the nearest integer? 85 What is 1172446 to the power of 1/3, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
3779003 List the prime factors of 709773. 3, 103, 2297 List the prime factors of 520975. 5, 7, 13, 229 What are the prime factors of 915792? 2, 3, 19079 List the prime factors of 1741717. 271, 6427 What are the prime factors of 1385436? 2, 3, 13, 83, 107 What are the prime factors of 179064? 2, 3, 829 What are the prime factors of 276701? 89, 3109 What are the prime factors of 1268447? 1268447 List the prime factors of 6653446. 2, 83, 149, 269 What are the prime factors of 7898462? 2, 11, 13, 27617 List the prime factors of 44919. 3, 7, 23, 31 What are the prime factors of 1874645? 5, 374929 What are the prime factors of 2519986? 2, 7, 179999 List the prime factors of 1028946. 2, 3, 171491 List the prime factors of 688901. 73, 9437 List the prime factors of 3915524. 2, 199, 4919 List the prime factors of 1334232. 2, 3, 29, 71 What are the prime factors of 2133062? 2, 1066531 What are the prime factors of 6828884? 2, 23, 199, 373 What are the prime factors of 73176? 2, 3, 3049 What are the prime factors of 74770? 2, 5, 7477 List the prime factors of 1207022. 2, 53, 59, 193 What are the prime factors of 489524? 2, 7, 17483 What are the prime factors of 17241374? 2, 8620687 What are the prime factors of 2296931? 7, 13, 43, 587 What are the prime factors of 21529410? 2, 3, 5, 7, 157, 653 What are the prime factors of 12006502? 2, 6003251 List the prime factors of 206245. 5, 13, 19, 167 List the prime factors of 584883. 3, 13, 4999 List the prime factors of 1161573. 3, 7, 55313 What are the prime factors of 689643? 3, 19, 37, 109 List the prime factors of 177059. 59, 3001 List the prime factors of 198138. 2, 3, 33023 List the prime factors of 4570989. 3, 1523663 What are the prime factors of 1369226? 2, 359, 1907 List the prime factors of 935753. 7, 13, 113 What are the prime factors of 517175? 5, 137, 151 List the prime factors of 288769. 13, 97, 229 List the prime factors of 1364834. 2, 682417 List the prime factors of 1209566. 2, 53, 11411 What are the prime factors of 196487? 349, 563 List the prime factors of 267483. 3, 163, 547 List the prime factors of 2210398. 2, 373, 2963 List the prime factors of 945400. 2, 5, 29, 163 What are the prime factors of 232167? 3, 13, 5953 List the prime factors of 385761. 3, 149, 863 List the prime factors of 1113011. 1113011 List the prime factors of 251229. 3, 11, 23, 331 List the prime factors of 5967821. 787, 7583 List the prime factors of 3053433. 3, 19, 53569 What are the prime factors of 624221? 13, 48017 What are the prime factors of 7277943? 3, 2425981 List the prime factors of 4528336. 2, 73, 3877 List the prime factors of 688730. 2, 5, 7, 9839 List the prime factors of 59996. 2, 53, 283 List the prime factors of 394622. 2, 197311 List the prime factors of 291887. 291887 List the prime factors of 417202. 2, 19, 10979 List the prime factors of 66200. 2, 5, 331 List the prime factors of 55289. 13, 4253 List the prime factors of 8767795. 5, 1753559 What are the prime factors of 3581921? 7, 511703 What are the prime factors of 6218817? 3, 11, 31, 6079 What are the prime factors of 12805422? 2, 3, 7, 509, 599 List the prime factors of 204796. 2, 51199 List the prime factors of 243315. 3, 5, 5407 What are the prime factors of 2128270? 2, 5, 212827 List the prime factors of 4159887. 3, 101, 13729 What are the prime factors of 484109? 17, 28477 List the prime factors of 15394700. 2, 5, 153947 What are the prime factors of 13213199? 17, 777247 List the prime factors of 18249209. 11, 157, 10567 What are the prime factors of 8534951? 31, 275321 List the prime factors of 1747564. 2, 7, 13, 4801 What are the prime factors of 4007434? 2, 563, 3559 What are the prime factors of 305467? 251, 1217 What are the prime factors of 9595402? 2, 4797701 List the prime factors of 285411. 3, 7, 13591 What are the prime factors of 459562? 2, 229781 What are the prime factors of 3506729? 113, 31033 What are the prime factors of 5956399? 5956399 List the prime factors of 2474237. 19, 130223 What are the prime factors of 501387? 3, 37, 4517 What are the prime factors of 561333? 3, 187111 What are the prime factors of 76215? 3, 5, 5081 What are the prime factors of 713422? 2, 17, 20983 List the prime factors of 5698458. 2, 3, 105527 List the prime factors of 2033200. 2, 5, 13, 17, 23 What are the prime factors of 250989? 3, 83663 What are the prime factors of 1278561? 3, 67, 6361 List the prime factors of 713415. 3, 5, 199, 239 What are the prime factors of 4827149? 67, 72047 List the prime factors of 29220. 2, 3, 5, 487 List the prime factors of 33904075. 5, 19, 137, 521 What are the prime factors of 10100922? 2, 3, 13, 129499 What are the prime factors of 10007878? 2, 79, 97, 653 What are the prime factors of 315295? 5, 63059 What are the prime factors of 68940? 2, 3, 5, 383 What are the prime factors of 2711823? 3, 17, 53173 What are the prime factors of 1091317? 271, 4027 What are the prime factors of 6605633? 41, 367, 439 What are the prime factors of 310281? 3, 59, 1753 List the prime factors of 2553541. 2553541 What are the prime factors of 5410505? 5, 17, 53, 1201 List the prime factors of 1089054. 2, 3, 17, 3559 What are the prime factors of 461332? 2, 29, 41, 97 What are the prime factors of 112936? 2, 19, 743 List the prime factors of 605717. 7, 86531 What are the prime factors of 3107242? 2, 439, 3539 List the prime factors of 344821. 344821 What are the prime factors of 2372807? 2372807 List the prime factors of 4403442. 2, 3, 17, 23, 1877 What are the prime factors of 16084226? 2, 31, 59, 4397 What are the prime factors of 712480? 2, 5, 61, 73 List the prime factors of 4383691. 13, 25939 What are the prime factors of 11826437? 7, 239, 7069 List the prime factors of 38522. 2, 11, 17, 103 What are the prime factors of 512070? 2, 3, 5, 13, 101 What are the prime factors of 155481? 3, 51827 What are the prime factors of 1883237? 1883237 List the prime factors of 3159640. 2, 5, 11, 43, 167 List the prime factors of 287043. 3, 163, 587 What are the prime factors of 446005? 5, 7, 12743 What are the prime factors of 313772? 2, 47, 1669 List the prime factors of 499246. 2, 11, 2063 List the prime factors of 2413206. 2, 3, 23, 29, 67 What are the prime factors of 224069? 224069 List the prime factors of 1202290. 2, 5, 251, 479 What are the prime factors of 653829? 3, 11, 19813 List the prime factors of 278862. 2, 3, 46477 List the prime factors of 3337227. 3, 123601 List the prime factors of 91534. 2, 45767 What are the prime factors of 1740293? 1740293 List the prime factors of 1067682. 2, 3, 7, 11, 2311 List the prime factors of 15609502. 2, 17, 23, 19961 List the prime factors of 3823754. 2, 11, 173807 List the prime factors of 202857. 3, 67619 What are the prime factors of 2122593? 3, 11, 131, 491 What are the prime factors of 684751? 684751 What are the prime factors of 265286? 2, 7, 2707 What are the prime factors of 5313685? 5, 13, 81749 List the prime factors of 203412. 2, 3, 11, 23, 67 What are the prime factors of 4582723? 4582723 What are the prime factors of 351819? 3, 13, 31, 97 What are the prime factors of 488268? 2, 3, 11, 137 What are the prime factors of 20523887? 20523887 What are the prime factors of 6951211? 2383, 2917 What are the prime factors of 5499968? 2, 19, 4523 List the prime factors of 2942528. 2, 23, 1999 List the prime factors of 982125. 3, 5, 97 List the prime factors of 804469. 67, 12007 What are the prime factors of 520297? 520297 List the prime factors of 2183723. 2183723 What are the prime factors of 6678406? 2, 7, 68147 What are the prime factors of 23063613? 3, 29, 179, 1481 What are the prime factors of 14263672? 2, 1782959 What are the prime factors of 154458? 2, 3, 8581 What are the prime factors of 3093996? 2, 3, 89, 2897 List the prime factors of 398331. 3, 14753 List the prime factors of 70637. 7, 10091 What are the prime factors of 245862? 2, 3, 29, 157 What are the prime factors of 1102462? 2, 551231 What are the prime factors of 435483? 3, 127 What are the prime factors of 549588? 2, 3, 13, 271 List the prime factors of 9045532. 2, 23, 98321 What are the prime factors of 1393771? 1393771 What are the prime factors of 556987? 556987 What are the prime factors of 1916364? 2, 3
{ "pile_set_name": "DM Mathematics" }
w) be the third derivative of -w**5/60 - 3*w**4/8 - 7*w**3/6 - w**2. Let m be a(d). Sort 5, m, 4 in ascending order. m, 4, 5 Let b = -24 + 26. Let o = -6 + 8. Suppose o = k - 2*k - 4*s, -3*s = 0. Sort b, k, -2/11. k, -2/11, b Let b(y) = y**3 + 10*y**2 + 6*y - 39. Let g be b(-9). Sort g, 4, -5. g, -5, 4 Let o(f) = 2*f - 7. Let v be o(6). Suppose 2*y + y - 9 = 0. Sort -5, v, y in decreasing order. v, y, -5 Let k be (-1)/(-5) + (3/(-10))/(-1). Put -2, -1/5, k, -5 in decreasing order. k, -1/5, -2, -5 Let i = -131/3 + 121/3. Let t = 2 + i. Suppose -5*d + 4*d - 2 = 0. Sort d, 2/7, t in ascending order. d, t, 2/7 Let p be 3/4*(-3 + -1). Let f = -6 + 10. Sort p, f, 0. p, 0, f Let m(q) = q**2 - q - 6. Let f be m(0). Let r = -2 - f. Sort -4, -1, r in descending order. r, -1, -4 Let g = -85 + 88. Suppose 14 = -2*z - 2*r - 0*r, 5*z - 4*r - 10 = 0. Sort g, 1, z in descending order. g, 1, z Let k(y) = y**3 - 10*y**2 + 5*y**3 + 5*y - 5*y**3 + 3*y + 9. Let l be k(9). Put l, 3, -2 in descending order. 3, l, -2 Let n = 2093/1034 - 46/47. Let c = 4/53 - -221/583. Let m = c + n. Sort 2, 4, m in ascending order. m, 2, 4 Suppose 5*s + 15 + 5 = 0. Let y be (-74)/(-14) - 2/7. Suppose 25 = -d - y*f, d + 26 = -d - 4*f. Sort -1, d, s in decreasing order. -1, s, d Let t be (-8)/6 - (8 - 10). Put -1, 3, -1/11, t in descending order. 3, t, -1/11, -1 Let d = 17 - 69/4. Let s be (-8)/3 - 22/(-11). Put s, d, -3 in descending order. d, s, -3 Let m be 6/(-4)*(-70)/21. Sort -2, m, 1 in ascending order. -2, 1, m Let r(n) = -n**3 + 6*n**2 - 6*n + 9. Let b be r(5). Put -5, b, -3/2, 0.2 in descending order. b, 0.2, -3/2, -5 Let i = 178 - 177.19. Let f = i + -0.8. Let o = f + -0.21. Put o, 2, -5 in descending order. 2, o, -5 Let v = 23 - 19. Sort 3, -5, v in descending order. v, 3, -5 Let k(h) = h + 10. Let r be k(-7). Let q = -15 + 11. Let m = q - -6. Sort m, 0, r in increasing order. 0, m, r Suppose 8*w - 9*w + 5 = 0. Sort 3, -3, w in decreasing order. w, 3, -3 Suppose 2*z + 0*d - 4*d = 8, -3*z = -5*d - 8. Let v be 4 + -2*3/6. Let n be (-4 - -2) + v - -1. Put z, 1, n in ascending order. z, 1, n Let b = -15 + 14. Let o = -0.1 + 0.1. Let r = o + b. Put 3, r, 0.5 in decreasing order. 3, 0.5, r Let f = 0.12 + -2.12. Let n = -7 + 5. Let a = n + 1. Sort 0.4, a, f in descending order. 0.4, a, f Let c = -6.6 + 11.7. Let s = c + -2.1. Sort -0.08, s, -3 in descending order. s, -0.08, -3 Let v be (-4)/26 - (2 - 2). Let g = -0.18 + 1.58. Let m = 0.4 - g. Sort v, -0.4, m. m, -0.4, v Let x be (12/18*-75)/2. Sort 1, x, -3 in increasing order. x, -3, 1 Let p be 3/1 + (-5 - -4). Put p, 1, -8 in ascending order. -8, 1, p Let j be 9/426*1436/(-12). Let o = j + 2/71. Sort o, 0.5, -0.5 in ascending order. o, -0.5, 0.5 Let k = 4.5 - 4. Put 0.2, k, 3/8 in descending order. k, 3/8, 0.2 Let b = 1 - 0.96. Let i = b - -0.06. Put -1, -2/11, i in descending order. i, -2/11, -1 Let o = -35 - -39. Sort o, 3, -1. -1, 3, o Let a = -215 - -220. Suppose -15 = -4*f + 3*x, -f = 2*x - 7*x + 9. Suppose -3*z = -5*z - f. Put -4, z, a in ascending order. -4, z, a Let v = -15 + 10.5. Let d = v + 4. Put d, 0, -0.1 in descending order. 0, -0.1, d Let u be ((-1)/14)/((-6)/24). Let w = 0 + -1. Put 1, u, w in ascending order. w, u, 1 Suppose 5*p = -0*p. Let l = -8 + 5. Sort p, l, -5. -5, l, p Suppose 3*d - 6 = -0*d. Suppose m + 2*m = 0. Let x = -2 + m. Put 1, d, x in decreasing order. d, 1, x Let f = 2 + 0. Let r = 15 - 20. Sort r, f, -0.3 in descending order. f, -0.3, r Let z be -8*-1*(-1)/2. Let t = 4 + 1. Suppose t*k - k + 18 = -w, -w - k = 6. Sort -1, w, z in increasing order. z, w, -1 Suppose 0 = -17*q + 12*q - 15. Sort 1, q, 5 in decreasing order. 5, 1, q Let x = -19 - -17. Put -0.5, x, 0.01 in descending order. 0.01, -0.5, x Suppose l + 217 = 212. Let g(k) = k**3 - 4*k**2 + 2*k + 1. Let d be g(3). Let h be (3/(-2) + 0)*d. Sort 0, l, h in descending order. h, 0, l Let w = -140 + 141. Sort w, -21, 0, -2 in decreasing order. w, 0, -2, -21 Suppose -2*w + 18 = -4*f, 0*w - f = -2*w + 3. Suppose 0 = 5*r + 5*x - 40, 4*r - 12 = -x + 11. Suppose -2*o - 2 - 1 = -r*v, -5*v + 4 = -o. Sort w, 3, v. w, v, 3 Let m be (-2 - -1)*(6 + -1). Put m, -4, 5 in ascending order. m, -4, 5 Let r(p) = -p**2 + 3*p - 1. Let n be r(2). Put 4, n, 2, 0 in decreasing order. 4, 2, n, 0 Let f = 12 - 17. Put 4, f, 5 in increasing order. f, 4, 5 Let d = -3/7 - -1/35. Sort 0.2, d, 2/13 in descending order. 0.2, 2/13, d Suppose -4*y + 83 = 5*q, 2*q + 0*q - 57 = -3*y. Suppose -y = -3*x - 5. Suppose -3*z - 5*m = -4*m + 8, -m - 4 = 2*z. Put z, -0.4, x in increasing order. z, -0.4, x Let f = 9 - 10. Sort 3, f, -5, 2 in descending order. 3, 2, f, -5 Suppose -9 = -3*i + 6*i. Let v = 55 - 57. Put v, i, 0 in decreasing order. 0, v, i Let v = 9.96 - 10. Let o = v + 0.34. Sort o, -0.4, 2. -0.4, o, 2 Let y = 306 - 303.07. Let t = -0.07 - y. Sort -2, t, -0.5 in descending order. -0.5, -2, t Let p(a) = a**2 + 2*a + 1. Let k be p(-4). Suppose 0 = -7*w + 4*w - k. Put -7, 4, w in ascending order. -7, w, 4 Suppose -4*i - 105 = 5*h - 0*h, 4*h + 5*i + 93 = 0. Put -1, h, 0 in decreasing order. 0, -1, h Let g(m) = m**2 + 6*m - 8. Let v be g(-8). Let u be v/4 - (-6)/(-1). Sort 3, u, 0 in decreasing order. 3, 0, u Let y = -97 - -96.8. Put y, -1/13, 2/11 in increasing order. y, -1/13, 2/11 Suppose -5*h + 87 = -0*r + 4*r, -4*r + 4*h + 60 = 0. Suppose -5*s - 3 = -r. Suppose 0 = q - 3 + 1, -3*q + 8 = 2*i. Sort 0, s, i in ascending order. 0, i, s Let l = -18 - 6. Let q = -24.4 - l. Let t be 14/6 - 3/9. Sort 0.2, t, q in descending order. t, 0.2, q Let g = 22.9 - 22. Let l = g - 1. Let o = 59/126 - -2/63. Put o, l, -1 in ascending order. -1, l, o Let q = 4/5 - 1. Suppose -u + 2 + 2 = 0. Suppose 0 = -0*t + 5*t - 2*o - 31, -u*o - 2 = 2*t. Sort q, t, 3 in ascending order. q, 3, t Let x = -4 + -4. Let s = 3 + x. Sort 5, 2/9, s in descending order. 5, 2/9, s Let b(i) = -i - 10. Let k(d) = -d - 11. Let j(s) = -7*b(s) + 6*k(s). Let h be j(0). Sort -2, h, 3 in ascending order. -2, 3, h Let x = 0.03 + -0.43. Let i = 0.1 - 0.1. Put x, -3, i in ascending order. -3, x, i Suppose -4*n = j + 7, 0*j - 4*n = 5*j - 13. Sort -3, j, -10 in descending order. j, -3, -10 Suppose 3*x + 3 = 9. Put 0, x, -1 in decreasing order. x, 0, -1 Let d = 2210 + -10956/5. Let h = 648/35 - d. Put -2, h, 0.5 in ascending order. -2, h, 0.5 Let y be (-2)/9 - 4/(-18). Suppose -v + 5 = -y. Let w(n) = n**2 + 4*n - 1. Let l be w(-3). Sort l, 4, v in ascending order. l, 4, v Let m be (21/6)/(3/6). Let y = m - 8. Sort -4, y, 1. -4, y, 1 Let x = 60 - 419/7. Put -1/3, x, 5, -5 in decreasing order. 5, x, -1/3, -5 Let b(i) = i**3 + 2*i**2 - 3*i - 2. Let y be b(-3). Let n = y + -2. Put n, 2, 4 in ascending order. n, 2, 4 Let m = -1 + 3. Suppose 5*s = -83 + 68. Put s, -5, m in ascending order. -5, s, m Suppose 3*o - 9 = -0*o. Sort o, 5, -4. -4, o, 5 Let m(y) = -6*y + 36. Let s be m(6). Sort -2, -9, -3, s in increasing order. -9, -3, -2, s Let u = -4 - -24. Let t = u + -17. Sort -3, t, -0.1 in descending order. t, -0.1, -3 Let q(w) = -w**3 + 6*w**2 - 2*w + 12. Let a be q(6). Let c(p) = -p**2 - 3*p + 2. Let y be c(-4). Put a, y, -1 in decreasing order. a, -1, y Let f be ((-1)/(-2*2))/(8 - 9). Sort 8, 4/5, f in descending order. 8, 4/5, f Suppose -5 = 5*k + 5*j, 16 = k + 4*k - 2*j. Let n = -11 - -15. Let r be (-4)/14 - n/(-14). Sort r, -3, k in descending order. k, r, -3 Suppose -g = -4*n, -n - 2*n - 1 = -g. Suppose -13 + g = -3*z. Put -3, -1, z in increasing order. -3, -1, z Let h be 78/(-4) + (1 - 1). Let q = -20 - h. Let g = -993/8 + 124. Sort -3, q, g in decreasing order. g, q, -3 Let d = -1.6 + 1.4. Let c = 21 + -23. Sort c, 1/2, d. c, d, 1/2 Let g = -0.55 + 0.25. Let u = 2/35 - -29/105. Put g, u, 0 in descending order. u, 0, g Let a(n) = n**3 - 44*n**2 + 25*n - 1. Let u(x) = 9*x**2 - 5*x. Let v(w) = -2*a(w) - 11*u(w). Let m be v(-6). Put -0.5, m, 0.3 in decreasing order. m, 0.3, -0.5 Suppose 3*t = -1 - 2. Suppose 4*g + 4*u = 0, -4*g - u = -2 - 7. Put g, t, 0 in decreasing order. g, 0, t Let u = -0.63 + 0.53. Suppose 2*z + 0 = -2. Let x = -13 + 40/3. Sort z, x, u in ascending order. z, u, x Let t = -13 + 16. Put -1/4, 0, t in ascending order. -1/4, 0, t Let d(u) = -u**2 - 15*u - 9. Let b be d(-13). Let g = -17 + b. Sort g, -3, 4. -3,
{ "pile_set_name": "DM Mathematics" }
16 - -5? 1b In base 7, what is 2 - 4? -2 In base 13, what is -2 + -31? -33 In base 6, what is -1145 + -3? -1152 In base 6, what is -4 - 301? -305 In base 14, what is 4 - 10? -a In base 5, what is 1 - 34204? -34203 In base 11, what is 9 + 27? 35 In base 8, what is 5 + 5477? 5504 In base 4, what is 11 + -2221? -2210 In base 7, what is 313 + 2? 315 In base 13, what is 6 - -252? 258 In base 3, what is 210 + 10100? 11010 In base 4, what is 12011 + 2? 12013 In base 15, what is -4d + -3? -51 In base 8, what is 11774 + 2? 11776 In base 15, what is -23 - 1ad? -1d1 In base 3, what is -201 - -220? 12 In base 10, what is 5210 - -4? 5214 In base 8, what is 0 + -4? -4 In base 7, what is -161 + 540? 346 In base 15, what is -721 + 2? -71e In base 12, what is -1114 + -5? -1119 In base 13, what is -2c3 + -2? -2c5 In base 13, what is -9 + -16? -22 In base 3, what is -10022 - 10? -10102 In base 12, what is -2 + 2? 0 In base 2, what is -1110 + 100101? 10111 In base 15, what is 2 + 1b67? 1b69 In base 6, what is 255 + 4? 303 In base 16, what is -d + 11b? 10e In base 12, what is -5 - -220? 217 In base 10, what is 54 + 15? 69 In base 10, what is -1 + -28? -29 In base 4, what is -213130 - -12? -213112 In base 16, what is 0 + 13c? 13c In base 3, what is -10 + -2010? -2020 In base 6, what is 2 + -3224? -3222 In base 5, what is 1 - 1104? -1103 In base 5, what is 343200 + -4? 343141 In base 10, what is -3 - 488? -491 In base 6, what is -35 + 2234? 2155 In base 5, what is -31 + -1? -32 In base 9, what is -4 + -1448? -1453 In base 10, what is -119 + -21? -140 In base 15, what is -54 + -d? -62 In base 16, what is -20 + -366? -386 In base 8, what is -2205 - 5? -2212 In base 15, what is 5 - -76? 7b In base 9, what is 221 + -1? 220 In base 10, what is 15 + 213? 228 In base 16, what is -1 + 192? 191 In base 2, what is -101111011001 + -10? -101111011011 In base 13, what is 5 - 499? -494 In base 5, what is 3 + 30120? 30123 In base 11, what is 115 - -33? 148 In base 16, what is -3 - 17? -1a In base 6, what is 4 + 410? 414 In base 8, what is 6 - 5266? -5260 In base 16, what is -a03 - -6? -9fd In base 15, what is -1681 + -5? -1686 In base 7, what is -26436 - 4? -26443 In base 12, what is -2a - -b9? 8b In base 16, what is 5 - a4? -9f In base 5, what is 1024 + -41? 433 In base 2, what is 1100 + -110? 110 In base 11, what is 264 - 0? 264 In base 15, what is -1 - a9? -aa In base 9, what is 16 + 0? 16 In base 5, what is -1 + -10041? -10042 In base 8, what is 102 - -3? 105 In base 10, what is 3 + 180? 183 In base 7, what is 3661 + -5? 3653 In base 5, what is 1233 + -3? 1230 In base 2, what is -100110 + -1001? -101111 In base 8, what is -4457 - 3? -4462 In base 4, what is -132111 - 13? -132130 In base 11, what is -7 + -2363? -236a In base 6, what is -21415 + 1? -21414 In base 10, what is 336 + -5? 331 In base 4, what is -101 - -30? -11 In base 2, what is 100 - 11111101? -11111001 In base 15, what is 1 + 0? 1 In base 2, what is -10101101 - 10? -10101111 In base 8, what is 44 - -6? 52 In base 7, what is 5153 + 1? 5154 In base 2, what is -1011100101100 + -11? -1011100101111 In base 6, what is -25013 - -2? -25011 In base 13, what is -c - 21? -30 In base 5, what is -3 - -21422? 21414 In base 12, what is -450 + 3? -449 In base 16, what is -112 + -1? -113 In base 9, what is -315 + 0? -315 In base 8, what is 16634 + -5? 16627 In base 3, what is 11 - -220201? 220212 In base 3, what is 20 - -210222? 211012 In base 13, what is 75 + -12? 63 In base 14, what is dd - -2? 101 In base 13, what is -2 - 782? -784 In base 9, what is -632 + -5? -637 In base 7, what is 1 - 420? -416 In base 6, what is -34 - 131? -205 In base 8, what is -46 - -16? -30 In base 9, what is -737 - 0? -737 In base 2, what is 1111010100100 + 1? 1111010100101 In base 5, what is -11240 + 1? -11234 In base 11, what is 3 - 19a? -197 In base 8, what is -621 + -37? -660 In base 15, what is -9 - -ba? b1 In base 15, what is 3 + 64e? 652 In base 7, what is 5 + -6200? -6162 In base 4, what is 1120 + 321? 2101 In base 9, what is 253 - 16? 236 In base 4, what is 3231 + -113? 3112 In base 3, what is 1020 + 121? 1211 In base 16, what is -7 - -a0? 99 In base 2, what is 101110 + 1? 101111 In base 10, what is 4 + -16? -12 In base 7, what is -10 - -36? 26 In base 16, what is 4 + -23? -1f In base 16, what is 0 - -62? 62 In base 5, what is 14 - -32? 101 In base 15, what is -56 + 1a? -3b In base 4, what is -21 + 303? 222 In base 12, what is -2 - 629? -62b In base 15, what is 12 - 2? 10 In base 14, what is -33 - -1? -32 In base 14, what is -15 - -5? -10 In base 3, what is 110211 + 1122? 112110 In base 8, what is -77763 + -1? -77764 In base 3, what is 200 - -1001? 1201 In base 7, what is 13032 - -3? 13035 In base 5, what is 121 - 140? -14 In base 12, what is -5 + -b0? -b5 In base 6, what is 120 - 13? 103 In base 8, what is -514 - 3? -517 In base 16, what is -1f - 1? -20 In base 7, what is -3 - 21124? -21130 In base 6, what is -4 + 250? 242 In base 2, what is -10011 + 1110? -101 In base 11, what is 2a9 - 15? 294 In base 11, what is -13a - -1? -139 In base 6, what is 0 - -312? 312 In base 12, what is 3 + 32? 35 In base 16, what is 9 - -1dd? 1e6 In base 10, what is 521 - -2? 523 In base 2, what is 11 + 111100110000? 111100110011 In base 12, what is 91 - a5? -14 In base 9, what is -10707 + 3? -10704 In base 16, what is -11f4 - 4? -11f8 In base 13, what is -2a3 + -10? -2b3 In base 10, what is 1729 + 4? 1733 In base 9, what is 58 - -7? 66 In base 14, what is -7 - 58? -61 In base 12, what is -3 - 8? -b In base 8, what is 27654 - -3? 27657 In base 10, what is 4 - -3316? 3320 In base 6, what is 0 - 31? -31 In base 7, what is -3 - -101? 65 In base 6, what is 5333 + 1? 5334 In base 3, what is 2022 + 11? 2110 In base 11, what is -187 - -5? -182 In base 15, what is 26 - 4? 22 In base 12, what is -17ba - 0? -17ba In base 5, what is -4 + -12144? -12203 In base 4, what is -11130 - 0? -11130 In base 5, what is 1 + 23100? 23101 In base 16, what is 172 + 4? 176 In base 8, what is 20 + 21? 41 In base 13, what is 12 + -34? -22 In base 6, what is 4223 + 5? 4232 In base 9, what is 326 - -1? 327 In base 7, what is -111 - 5? -116 In base 10, what is -453 + 5? -448 In base 15, what is -4 - c5? -c9 In base 3, what is -1010 + -121? -1201 In base 11, what is -1a346 + 1? -1a345 In base 15, what is 6d - a? 63 In base 15, what is 20e + 0? 20e In base 3, what is -120 - -120? 0 In base 2, what is 100 - -1010110? 1011010 In base 6, what is -3 - -214? 211 In base 3, what is 102102 + -1001? 101101 In base 12, what is b - -3a0? 3ab In base 2, what is -1000011 + -1101? -1010000 In base 9, what is 4 + 8? 13 In base 8, what is 0 - -32? 32 In base 16, what is -9 - 5? -e In base 11, what is -12 - -340? 329 In base 9, what is -3 + 28? 25 In base 9, what is 675 - -6? 682 In base 12, what is a28 + -5? a23 In base 13, what is -2 + -2a2? -2a4 In base 2, what is 110010001 + -11? 110001110 In base 7, what is 0 + -6262? -6262 In base 7, what is -14 + 5? -6 In base 2, what is 11 + -10001011? -10001000 In base 12, what is 3 - 14? -11 In base 16, what is -1a + 1fa? 1e0 In base 10, what is 37 - -177? 214 In base 4, what is 11 - 3? 2 In base 10, what is 76 + 280? 356 In base 15, what is 4 - -55? 59 In base 5, what is -10240 - 3? -10243 In base 12, what is 14 - -2? 16 In base 6, what is -543 + 13? -530 In base 5, what is 3330 + 1? 3331 In base 8, what is 77 - 15? 62 In base 2, what is -10 + -11111111? -100000001 In base 13, what is 7 - 237? -230 In base 5, what is -1 + -10443? -10444 In base 12, what is -4 - 2390? -2394 In base 2, what is -101 - -101100111111? 101100111010 In base 10, what is 1571 + 1? 1572 In base 2, what is -11010 - -1? -11001 In base 5, what is -20 + -1020? -1040 In base 16, what is 5 - 75? -70 In base 12, what is 5a - 29? 31 In base 2, what is 1011 + -10000? -101 In base 9, what is -4 - 0? -4 In base 2, what is 100011 + 1011111? 10000010 In base 6, what is 0 + 110041? 110041 In base 5, what is -21400 + -2? -21402 In base 13, what is b9c + 4? ba3 In base 11, what is -6 + -1635? -1640 In base 15, what is 1 + -82a? -829 In base 9, what is 22 + 26? 48 In base 7, what is -4 - -10236? 10232 In base 3, what is 2 - -2000? 2002 In base 14, what is 0 - -b4d? b4d In base 4, what is -1 + -231220? -2
{ "pile_set_name": "DM Mathematics" }
ob of sequence tnnt when four letters picked without replacement from {n: 4, t: 7}. 7/110 Two letters picked without replacement from {x: 3, l: 6, y: 1, n: 3, e: 1}. Give prob of sequence ll. 15/91 Calculate prob of sequence wr when two letters picked without replacement from {r: 5, t: 8, w: 2}. 1/21 What is prob of sequence qqqn when four letters picked without replacement from {n: 1, q: 7}? 1/8 Two letters picked without replacement from {n: 1, f: 1, r: 1, w: 1, o: 1}. What is prob of sequence of? 1/20 Two letters picked without replacement from {r: 5, e: 3, w: 1, y: 7}. Give prob of sequence ey. 7/80 Four letters picked without replacement from acahcahccxhoc. What is prob of sequence ccoa? 1/286 Two letters picked without replacement from wwweetfwwuuecffwef. Give prob of sequence cw. 1/51 What is prob of sequence diei when four letters picked without replacement from eiiedieeidee? 2/165 Four letters picked without replacement from {b: 2, o: 7, n: 6}. What is prob of sequence onob? 1/65 Four letters picked without replacement from {t: 7, c: 7, d: 3, g: 2}. Give prob of sequence gdcd. 7/7752 What is prob of sequence ccc when three letters picked without replacement from cccccccccc? 1 Four letters picked without replacement from ifituftdy. What is prob of sequence fdty? 1/756 Two letters picked without replacement from uehhuddhdhhdehehhh. Give prob of sequence hu. 1/17 Two letters picked without replacement from {g: 2, u: 1, y: 2}. Give prob of sequence gu. 1/10 Two letters picked without replacement from {b: 2, c: 4, a: 1, h: 7}. Give prob of sequence hb. 1/13 Three letters picked without replacement from dddddhhdhdh. Give prob of sequence hhh. 4/165 What is prob of sequence eebg when four letters picked without replacement from ebeeeegeeeeekb? 15/2002 What is prob of sequence xoh when three letters picked without replacement from {x: 4, h: 9, o: 4}? 3/85 Two letters picked without replacement from {u: 4, j: 3, m: 3, p: 3}. What is prob of sequence jj? 1/26 Three letters picked without replacement from xqoewos. What is prob of sequence sqw? 1/210 What is prob of sequence jbg when three letters picked without replacement from {j: 1, g: 1, d: 2, k: 1, b: 1, n: 2}? 1/336 Two letters picked without replacement from wuwrpvfuf. Give prob of sequence pv. 1/72 What is prob of sequence ciic when four letters picked without replacement from {i: 5, c: 15}? 35/969 Four letters picked without replacement from {h: 3, v: 3}. Give prob of sequence vhvh. 1/10 Two letters picked without replacement from {d: 1, h: 8, g: 1, n: 2, v: 3, x: 1}. What is prob of sequence vn? 1/40 Two letters picked without replacement from {z: 2, b: 1, y: 4}. Give prob of sequence by. 2/21 Four letters picked without replacement from {k: 2, j: 5, e: 8}. What is prob of sequence jeek? 2/117 Calculate prob of sequence pqd when three letters picked without replacement from {q: 1, f: 1, p: 1, c: 1, d: 1}. 1/60 Three letters picked without replacement from loolewwolewwowo. What is prob of sequence wew? 4/273 Three letters picked without replacement from {r: 1, y: 1, b: 1, o: 1, j: 1}. Give prob of sequence rjy. 1/60 What is prob of sequence xafx when four letters picked without replacement from xaaaaxxfxaxaxfaff? 1/68 What is prob of sequence dc when two letters picked without replacement from {d: 14, x: 2, c: 1, y: 2}? 7/171 Calculate prob of sequence jhj when three letters picked without replacement from jjjbjjtjjbjbjh. 3/91 Calculate prob of sequence dtd when three letters picked without replacement from tdrd. 1/12 Two letters picked without replacement from {k: 6, f: 4, a: 3}. What is prob of sequence aa? 1/26 Three letters picked without replacement from bbfbbxcbbxxxgbbxbbbx. What is prob of sequence ggx? 0 Calculate prob of sequence kjj when three letters picked without replacement from {k: 11, j: 2}. 1/78 What is prob of sequence odo when three letters picked without replacement from oddqododq? 1/21 Three letters picked without replacement from {k: 2, t: 3, c: 4, e: 2}. Give prob of sequence ckk. 4/495 Two letters picked without replacement from {w: 1, a: 4, q: 2}. What is prob of sequence aa? 2/7 Calculate prob of sequence kgbk when four letters picked without replacement from {k: 2, y: 1, g: 1, n: 2, b: 2, t: 5}. 1/4290 Calculate prob of sequence nno when three letters picked without replacement from noon. 1/6 Three letters picked without replacement from {y: 2, l: 1}. What is prob of sequence yly? 1/3 Two letters picked without replacement from {b: 5, z: 12, l: 1, j: 1}. What is prob of sequence zj? 2/57 Calculate prob of sequence ub when two letters picked without replacement from buubb. 3/10 Calculate prob of sequence dk when two letters picked without replacement from kkkkkdkkkkkkkkkkkkkk. 1/20 Three letters picked without replacement from bqmiqvmmmbibbz. Give prob of sequence zim. 1/273 What is prob of sequence gs when two letters picked without replacement from wwsswwwswsgwwswws? 3/136 Calculate prob of sequence yl when two letters picked without replacement from {l: 1, q: 4, y: 1, i: 2, u: 1, e: 3}. 1/132 What is prob of sequence ettt when four letters picked without replacement from {c: 2, t: 10, e: 6}? 1/17 Calculate prob of sequence lm when two letters picked without replacement from mmdlwyl. 2/21 Calculate prob of sequence hwh when three letters picked without replacement from jdjhhwwhujhjwjddww. 5/408 Three letters picked without replacement from {j: 3, q: 2, u: 7}. Give prob of sequence uqu. 7/110 What is prob of sequence ex when two letters picked without replacement from {e: 8, x: 4, v: 2}? 16/91 Two letters picked without replacement from pzpp. What is prob of sequence zp? 1/4 Calculate prob of sequence vpt when three letters picked without replacement from clpptkkccppvp. 5/1716 Three letters picked without replacement from {i: 1, r: 3, w: 5, a: 6, s: 2}. Give prob of sequence wwr. 1/68 Four letters picked without replacement from {w: 1, d: 2, p: 1}. Give prob of sequence wwdd. 0 What is prob of sequence rfi when three letters picked without replacement from rrffrirrrfirif? 1/26 Two letters picked without replacement from qxxxxxxxxxxqxxxxxxqx. What is prob of sequence xx? 68/95 What is prob of sequence oooo when four letters picked without replacement from oooooo? 1 Four letters picked without replacement from {a: 2, b: 1, v: 1, w: 1, o: 2, g: 2}. Give prob of sequence wagv. 1/756 Calculate prob of sequence cp when two letters picked without replacement from {c: 3, s: 1, x: 3, p: 7}. 3/26 Two letters picked without replacement from {i: 1, u: 3, e: 1, a: 1, v: 3, c: 2}. Give prob of sequence cv. 3/55 Three letters picked without replacement from zrxuxzuurbzbuzzdubbb. What is prob of sequence ruz? 5/684 Two letters picked without replacement from veeeereevevvi. What is prob of sequence ev? 7/39 Calculate prob of sequence dd when two letters picked without replacement from {f: 4, d: 3}. 1/7 Two letters picked without replacement from {o: 9}. What is prob of sequence oo? 1 What is prob of sequence chcf when four letters picked without replacement from {b: 2, h: 1, l: 8, f: 2, c: 2, u: 4}? 1/23256 Two letters picked without replacement from iiiiipiiiib. Give prob of sequence ib. 9/110 Two letters picked without replacement from {x: 9}. What is prob of sequence xx? 1 Two letters picked without replacement from {x: 5, p: 2, g: 1, r: 2, j: 2, h: 1}. What is prob of sequence gh? 1/156 Calculate prob of sequence uu when two letters picked without replacement from wuwuwuuwwuuwuuuuuuu. 26/57 Calculate prob of sequence xllc when four letters picked without replacement from xcccrcrccllrclccxr. 1/680 Two letters picked without replacement from {j: 4, o: 7, h: 3, d: 5}. Give prob of sequence dh. 5/114 What is prob of sequence xo when two letters picked without replacement from xoex? 1/6 Calculate prob of sequence zwwz when four letters picked without replacement from {w: 3, z: 8}. 7/165 Four letters picked without replacement from {v: 3, f: 9}. What is prob of sequence fvfv? 2/55 Two letters picked without replacement from {q: 7, p: 2}. Give prob of sequence pp. 1/36 What is prob of sequence ddll when four letters picked without replacement from lllllllllllldlllllld? 1/190
{ "pile_set_name": "DM Mathematics" }
nding order. 3, u, -5 Let m be (-20)/30*(-9)/(-2). Put 3, m, 5 in descending order. 5, 3, m Let a = 4 - 3.5. Let j = -0.9 + a. Sort 0.2, 2/13, j in decreasing order. 0.2, 2/13, j Let k(z) = -z**3 - 4*z**2 - 4*z - 2. Let m be k(-3). Suppose -4*j - m = 15. Sort -3, -1, j in descending order. -1, -3, j Let c = 13 - 9. Let z = 4 - 3.8. Let k = -0.2 + z. Sort k, c, 5 in decreasing order. 5, c, k Let j = -34 - -36. Put 3, 7, j in ascending order. j, 3, 7 Suppose 8*z - 3*z = 3*v + 30, -z = 4*v - 29. Let u be 24/z + 2/(-3). Let f(c) = c**3 + 8*c**2 + 8*c + 3. Let b be f(-7). Put 5, u, b in decreasing order. 5, u, b Suppose 3*i = -2*i - 40. Let n(l) = -l - 9. Let r be n(i). Put 0, -2, r in descending order. 0, r, -2 Suppose -4*r = -5*s + 9, 0*r + 4*r - 2*s + 6 = 0. Let c = -44 + 45. Put r, c, 0 in ascending order. r, 0, c Let u be (-1)/(-3) + 60/36. Let d be u/(-4) + 14/4. Put 5, d, 1 in increasing order. 1, d, 5 Let y be (-6)/3*(-1)/6. Let j = 1.6 + 0.4. Sort j, -0.1, y in descending order. j, y, -0.1 Let x = -10 + 11. Let o(n) = -n + 11. Let y be o(7). Suppose -2*s = -6 - y. Put x, -2, s in decreasing order. s, x, -2 Let n = 2 + -2. Let g(f) = -f**3 - 2*f**2 + 2*f. Let s be g(-3). Suppose c = -4*m - 22, 0*c = s*c + 5*m + 31. Put -5, c, n in ascending order. -5, c, n Let b = 1.5 + -1.57. Let n = -0.07 - b. Suppose -4*v - 10 = -2*g, -3*g + 4*g - 3*v = 8. Sort n, -5, g in increasing order. -5, g, n Let f(v) = v**3 - 6*v**2 + 4*v + 1. Let r be f(5). Suppose 4*q + 12 = 8. Put r, 5, q in decreasing order. 5, q, r Let i = 36/7 - 40/7. Let o = 6.3 + -6.8. Let r = 5.12 + -0.12. Sort r, i, o. i, o, r Suppose 9*f = 4*f. Sort -2, f, -3/2 in ascending order. -2, -3/2, f Let h = 0.48 - -0.02. Let i = -0.03 - -2.03. Sort h, i, -0.1. -0.1, h, i Let w = -84 + 80. Sort 0, w, -2. w, -2, 0 Let m = -49/99 - -3/11. Let f(j) = -j**3 + 6*j**2 + 3*j - 8. Let i be f(6). Sort m, 2/17, i in increasing order. m, 2/17, i Let b(h) = -h**3 + 13*h**2 + h - 17. Let q be b(13). Sort -5, 5, q in descending order. 5, q, -5 Let f = 8 + -5. Let s be (1/3)/((-1)/(-9)). Let a = s + -4. Sort 0, a, f. a, 0, f Let z = 31 - 31. Put -2, 3, -0.3, z in descending order. 3, z, -0.3, -2 Let x = 27.7 + -28.2. Let m = -3.05 - -3. Sort x, m, 0.3 in decreasing order. 0.3, m, x Let p be 2/5*55/77. Let s = -0.1 + 0.3. Let c = s - 0.16. Sort p, c, -3/5 in increasing order. -3/5, c, p Let d = 15.5 + -13. Let z = d - 1.6. Let y = 5.9 - z. Sort 1, -5, y in ascending order. -5, 1, y Let r(m) = 2*m**2. Let k be r(1). Suppose -5*q - k*z = -6*z + 10, -4*q + 5*z = 17. Sort -5, q, 3 in decreasing order. 3, q, -5 Let f = 8 + -7. Sort 0, -2, f in increasing order. -2, 0, f Suppose 5*q = 47 + 33. Let w(o) = 3*o**2 + 2*o - 1. Let m be w(1). Suppose -5*n + m = -q. Sort -3, 1, n. -3, 1, n Let j = -3 - -6. Let p = -7 + j. Sort p, 1, 2/3 in increasing order. p, 2/3, 1 Suppose 9*x - 11*x = -16. Put x, 5, -5 in descending order. x, 5, -5 Let y = -1.9 - -1.5. Sort -8, y, -1/12, 0 in decreasing order. 0, -1/12, y, -8 Suppose -6*y + 0*y - 6 = 0. Let s be (-20)/(-6) + (-1)/3. Put y, -5, s in decreasing order. s, y, -5 Let y = -2 + 2. Suppose 2 - 17 = -3*n. Suppose n*z = -0*z - 5. Sort y, z, -3 in descending order. y, z, -3 Let h(r) = r**2 + 6*r - 9. Let i be h(-9). Let n = 5 - i. Let o = n - -8. Sort 2, o, -1. o, -1, 2 Suppose -2*f - 8 = 5*g + f, -1 = -4*g + 5*f. Let b be (1 - -3) + (-1 - g). Sort b, -2, 3. -2, 3, b Let x = 39.6 + -44. Let t = x + 4. Put t, 0.3, 2 in descending order. 2, 0.3, t Let h be (6/10)/((-5)/(-75)). Let p be (-2 + h/6)*-8. Suppose -p*r = r - 25. Put r, -2, -3 in ascending order. -3, -2, r Suppose -4 = 5*y - 4*v + 16, -3*v - 16 = 4*y. Let g(n) = -n - 5. Let d be g(-4). Sort 2, d, y in increasing order. y, d, 2 Suppose -c - b = 0, -4*c + 0*b - 3*b + 4 = 0. Suppose -c*t - 1 = 11. Let u(f) = 2*f - 10. Let q be u(7). Put 1, q, t in increasing order. t, 1, q Let t(k) = k**2 - 2*k - 1. Let o be t(2). Let p(m) = -m**2 - m - 1. Let x be p(o). Suppose -2*h + 0*h = 0. Put h, -4, x in decreasing order. h, x, -4 Let z be (-11 + 10)/(2/10). Suppose -5*d + 3*f + 9 = 2*f, 3*f - 3 = 0. Suppose a - 2 = d*a. Sort z, a, -1 in decreasing order. -1, a, z Let z = -4.4 + -0.6. Let r = -3.7 - 0.3. Let o be (11/2 - 1)/(-3). Sort r, z, o. z, r, o Let f(x) = -x**3 + 2. Let j be f(0). Let z(g) = g**3 - g**2 - 2*g + 3. Let v be z(j). Let u = 3 - 1. Sort u, v, 5. u, v, 5 Let w = 37 - 36. Sort w, 3, -5 in decreasing order. 3, w, -5 Suppose -6*r = 4*m - r - 15, 3*m - 15 = -5*r. Let o(h) = h**3 + 3*h**2 - 6*h - 3. Let p be o(-4). Put p, m, -5 in decreasing order. p, m, -5 Let x(b) = -b + 4. Let u be x(2). Sort 1, 27, u in increasing order. 1, u, 27 Let u = -2 - -6. Let v = 5 - u. Let s be -1*v + (-6)/(-15). Sort 1, s, -2 in increasing order. -2, s, 1 Suppose -16 = -2*q - 0*q. Suppose a + 4*j + q = -5, -3*j = 5*a - 3. Sort 4, a, -5. -5, a, 4 Suppose m + 2 = l, -5*m - 4*l + 0 = 10. Let w = 47 - 45. Sort w, 5, m in descending order. 5, w, m Let t = 2 + -1.9. Let a be (145/10)/((-3)/32). Let g = a + 156. Sort -3, t, g. -3, t, g Let d(u) = -3*u + 1. Let g(l) = 3*l - 2. Let a(h) = -3*d(h) - 2*g(h). Let v be (0 - 0) + -3 + 1. Let z be a(v). Sort z, -2, 5 in increasing order. z, -2, 5 Let x = 0.0486 + -2.9586. Let w = -0.09 + x. Sort w, 1, -5 in decreasing order. 1, w, -5 Let c = -2/91 + 459/182. Let d = -0.09 - 0.01. Sort -1, d, c in ascending order. -1, d, c Let z = 3.9 - -0.1. Let h = z - 7. Sort h, 0.4, 5 in increasing order. h, 0.4, 5 Let c = 16 + -23. Let k = -11 - c. Put k, 2, -5 in descending order. 2, k, -5 Let y be (-63)/(-35) - (3 - 1). Sort y, 1/5, 0 in ascending order. y, 0, 1/5 Let l(r) = -r**2 + 4. Let k be l(3). Put -1, -3, -4, k in increasing order. k, -4, -3, -1 Let y = -713 + 709. Let x = 15 - 4. Let r = -7 + x. Sort r, 1/5, y in ascending order. y, 1/5, r Let o(v) = 2*v**2 - 2*v - 1. Suppose -1 = -p - 2. Let m be o(p). Suppose m*b = 2 + 1. Sort b, 2, -2 in descending order. 2, b, -2 Let u = -0.004 + -0.996. Sort u, 5, 0.2 in increasing order. u, 0.2, 5 Let g = -6 - -10. Let d be (-10)/8 - g/(-4). Put 4, -3, d in descending order. 4, d, -3 Let s = 0.75 + 0.25. Put 3/5, s, 7 in ascending order. 3/5, s, 7 Suppose 0 = -0*t - 4*t - 8. Sort t, 5, 11. t, 5, 11 Suppose -2*n + 25 = 3*n. Let f = -2 - -3. Let b(c) = c**2 + 5*c + 2. Let h be b(-3). Sort f, n, h in decreasing order. n, f, h Let m = 12 - 19. Let k = -0.27 + -10.73. Let j = k - m. Sort -5, j, 1/8 in decreasing order. 1/8, j, -5 Let m be ((-10)/8)/((-1)/4). Let l = -34 + 29. Put -2, m, l in descending order. m, -2, l Let b(m) = -m**3 - 7*m**2 - 7*m - 6. Suppose 4*i + 5*q + 19 = 0, -2*i + 4*q + 4 - 20 = 0. Let a be b(i). Put -1, a, 5 in ascending order. -1, a, 5 Let z = -12.8 - -14. Let a = 1.2 - z. Sort a, 0.5, 1 in increasing order. a, 0.5, 1 Let x(p) = -p**2 - 2*p + 13. Let k be x(-5). Sort 5, k, 2 in ascending order. k, 2, 5 Suppose -4*b - 6 = -y - 2*b, 0 = -2*y - 2*b. Let s be (-1 - (-4)/y)*0. Suppose s = -0*q - q - 3. Put 1, 4, q in ascending order. q, 1, 4 Let a(q) = -5*q**2 + 1. Let c be a(-1). Suppose -160 = -5*x + x. Suppose -w = -2*h + 1, 5*w - x = -5*h - 0*h. Sort c, 2, w in descending order. w, 2, c Let k(j) = j. Let l be 20/10 + (-1 - -6). Let n = 2 - l. Let i be k(n). Sort 5, i, -2 in increasing order. i, -2, 5 Suppose -4*p = -2*p + 10. Let d be (-2 + 0)/(2/(-4)). Sort p, 5, d in descending order. 5, d, p Let i = -78/7 + 11. Sort i, -2/5, 2. -2/5, i, 2 Suppose -2*d - 5*m - 35 = 0, -d + 4*d - 2*m = -5. Suppose 4*f = -i + 8, 0*f + 4*f - 20 = -4*i. Let w be (-1*f)/(1/(-5)). Put d, w, -1 in increasing order. d, -1, w Let p(w) = -w**3 + 2*w**2. Let r be p(0). Put 5, r, 2 in increasing order. r, 2, 5 Let w = -926/69 + 40/3. Let d = -33/115 - w. Let u(l) = -l**3 - 7*l**2 - 7*l - 2. Let j be u(-6). Sort -1, d, j. -1, d, j Suppose 0 = -5*q + 4*i + 57, 0 = 2*q - 0*i - 3*i - 27. Suppose 2*z - q = -z. Put 5, -2, z in decreasing order. 5, z, -2 Let d = -7.2 - -2.2. Sort 2/15, -0.1, -1, d. d, -1, -0.1, 2/15 Let o = -5 + 6. Let d(q) = q**3 + 8*q**2 - 8*q + 13. Let a be d(-9). Let y be 3/a*(0 - -2). Sort o, y, 2. o, y, 2 Let d = 0.5 - 4.5. Put 5, d, 0.4 in decreasing order. 5, 0.4, d Let x = -2302 + 9007/4. Let l = 50 + x. Sort l, -1, -5 in decreasing order. l, -1, -5 Let
{ "pile_set_name": "DM Mathematics" }
z = -30 - -58. Suppose -13*c = 24 + z. Calculate s(c). -1 Let m(f) be the first derivative of -f**2 - 2*f + 15. Give m(-6). 10 Let j(x) = x**2 + 7*x - 12. Let m be j(-11). Suppose 3*l + 5*z = m, 0 = -0*l + l - 3*z + 8. Let p(h) = 8*h + 1 + h - l*h - 3*h. Calculate p(6). 13 Let w(i) = i**2 + 22*i + 23. Let p(t) = -2*t**2 - 46*t - 45. Let j(u) = -3*p(u) - 7*w(u). Calculate j(-14). 2 Let b(j) be the third derivative of -j**7/420 + j**4/24 - j**3/3 - 9*j**2. Let r(y) be the first derivative of b(y). Calculate r(1). -1 Suppose 0 = s + 155 - 153. Let z(j) = j**3 + 2*j + 4. Calculate z(s). -8 Let v = -5 - 1. Let y(p) = 9*p**2 + 93*p**2 - 3*p + 2 - 103*p**2. Determine y(v). -16 Let l(d) be the first derivative of -d**2 - 7*d + 2. Let j(n) = -2*n + 12. Let s be j(7). Let q be (-320)/56 - s/(-7). What is l(q)? 5 Let z(y) = 3*y**2 + y. Suppose a = 4*f + 28, a + 3*f - 60 = -f. Let v be (a/(-2))/(-6 + 4). Suppose -5*u + 26 = 4*x + 10, -x - 3*u + v = 0. Determine z(x). 2 Let q(k) = 6 - 1 - 4 + 9*k + 9 - 6*k. Give q(-5). -5 Let p(g) = g**3 - 6*g**2 + g + 4. Let l = -133 - -137. Determine p(l). -24 Let k(r) = -r**3 - 2*r**2 - 2*r + 3. Let v be k(-2). Let q(d) = -d - 5. Give q(v). -12 Let n be (0 - -1)*1*-4. Let s(c) be the first derivative of -7 - 5/2*c**2 - 1/3*c**3 - 5*c. What is s(n)? -1 Suppose -4*h + 7 = -5. Suppose 3*y + h = -3*o + 6*o, -o - 5*y = -25. Let t(b) = -3 + o*b - 2*b - 3*b + 4*b. Calculate t(2). 5 Let b(y) = -y - 1. Let r(o) = -o**3 + 13*o**2 + 30*o + 1. Let l be r(15). Determine b(l). -2 Let t(l) = l + 19. Let v(j) = 2. Let m(r) = -t(r) + 4*v(r). What is m(-6)? -5 Suppose -2*k + 22 = -10. Suppose x - 5 = n, x + 3*x + 5*n = -k. Let o(p) = -6*p**2 + 15*p + p**3 - 22*p - 2*p**3 + x. Give o(-5). 11 Let h = 11 - 2. Suppose -v = 5*j + h, v - j - 17 - 4 = 0. Let s = 14 - v. Let m(y) = 3*y - 2. Determine m(s). -8 Let t(s) = -s**3 + 8*s**2 - 5*s. Let i be (0 - -2)*((-49)/(-14) - 0). Calculate t(i). 14 Let y(w) = 2*w + 3. Let n be y(10). Let q(c) = -c**2 + n*c - 10*c + 1 - 3 - 9*c. Determine q(5). -7 Let h(f) be the first derivative of 6 + 0*f + 1/3*f**3 + f**2. Determine h(-4). 8 Let g = 9 - 2. Suppose -1 = 4*r - 5, g = 4*u - r. Let x(v) = -3*v**u - 8 - v + 8 + 4*v**2. Calculate x(-1). 2 Suppose -5*q + 5*q - q = 0. Let g(u) = -u**3 + u - 8. Calculate g(q). -8 Let z = -95 - -98. Let u(c) = 85*c**2 - 83*c**2 + 2*c + 0*c - c**3 - z. Suppose -4*h = -3*r + 22, -3*h + 2*h = 2*r. What is u(r)? 1 Let b be (-4)/26 + 56/26. Let n(p) = 56*p**3 - p**2 + 2 - 30*p**3 + 0*p**2 - 24*p**3. Determine n(b). 14 Let j(g) = -2*g**2 - g - 14. Let k(x) = -x**2 - x - 14. Let l(y) = -2*j(y) + 3*k(y). What is l(0)? -14 Let l(b) = -3*b - 7. Suppose 5*a - 10 = 9*a + 2*f, 2*f = 5*a + 26. Give l(a). 5 Suppose 2*h = 2, 2*u - h - 9 = -3*u. Let d(l) = l. Calculate d(u). 2 Let c(w) = -29*w - 2. Let k be c(-2). Let v = -56 + k. Let u(l) be the third derivative of -l**5/60 - l**4/24 + l**2. Determine u(v). 0 Let x(h) = h**3 + 14*h**2 - 15*h. Let o be -7 + 11 - 19/1. Give x(o). 0 Let t be 30/9 + (-1)/3. Let z(j) be the second derivative of j**5/60 - j**4/6 - j**3/3 - 5*j**2/2 - j. Let n(y) be the first derivative of z(y). Calculate n(t). -5 Let c(o) = -3*o - 4. Let g(q) = 4*q + 6. Let j(z) = 7*c(z) + 5*g(z). Suppose 5*f = f - 32. Let k = f + 4. Calculate j(k). 6 Let o(n) = n - 2. Suppose 0*v = 4*j + 2*v, 2*v = 4. Let d(q) = -2 - 1 + 4. Let z(g) = j*o(g) - 3*d(g). Give z(-6). 5 Let v(u) = -u**2 + 4*u. Let q be v(5). Let h(b) = 7*b + 14. Let d(n) = -11*n + 5*n - 4*n - 21. Let w(j) = -5*d(j) - 7*h(j). Calculate w(q). 2 Let x(r) = 30*r + 4 - 10*r**2 - 10 - 40*r - r**3. Determine x(-9). 3 Suppose -3*t = -2*r + 35, 3*r - 5*t - 36 - 17 = 0. Let o = 18 - r. Let s(z) be the second derivative of z**4/4 - z**3/2 + z**2/2 - z. Calculate s(o). 7 Let w(x) = -51*x - 3. Let l be w(-1). Let r = -47 + l. Let c(z) be the second derivative of -2*z**4/3 - z**3/6 + z**2/2 + 2*z. Calculate c(r). -8 Let i(f) = -2 + 3 + f + 1. Suppose 155 = -5*y + 4*r, 5*r - 80 = -0*y + 3*y. Let v = 30 + y. What is i(v)? -3 Let c(m) = -3*m**2 + 8*m + 6. Let g(a) be the second derivative of -4*a**4/3 + 41*a**3/6 + 31*a**2/2 + 2*a. Let w(k) = -11*c(k) + 2*g(k). Give w(7). 3 Let r(z) be the first derivative of -z**6/360 + z**5/10 + z**4/2 + 13*z**3/3 - 18. Let x(c) be the third derivative of r(c). Calculate x(13). -1 Let o(f) = -f**3 - 15*f**2 + 16*f + 3. Suppose -2*j - 20 = n, -3*n - 53 - 1 = 3*j. What is o(n)? 3 Suppose -5*s - u = 8 - 44, -4*s + 5*u = -23. Let v(t) = -9*t + 10. What is v(s)? -53 Let m(l) = l**2 - 9. Let o = -75 + 77. Suppose 3*j + 3 = -4*u - 0*j, -3*u + o*j = -2. Give m(u). -9 Let i be (-4 + 7 - (-5)/(-1))*-1. Let w = 20 + -10. Let u(q) = -8*q**2 - w*q + 4*q + 11*q**i - 1 + q**3 + 2*q**2. Calculate u(-6). -1 Let h(j) = j**3 + 6*j**2 - j + 1. Let z(l) = -2*l - 2. Let p be z(2). Let t(m) = 37665*m + m**2 - 37658*m + 0*m**2. Let f be t(p). Give h(f). 7 Suppose 0 = 4*k - 2*a - 26, -5*a + 5 = 3*k - 8. Let p(s) = -s**3 + 7*s**2 - 4*s - 7. Determine p(k). 5 Let c(p) = -32*p + 796. Let i be c(25). Let l(w) = -6*w + 1. Calculate l(i). 25 Let v(c) be the second derivative of c**3/3 - 3*c**2/2 + 47*c. Determine v(5). 7 Suppose 9*d = 13 + 41. Let r(l) = -4*l - 4*l + d + l. Give r(4). -22 Let i(p) = p + 16. Let h(n) = 2*n + 17. Let u(q) = 2*h(q) - 3*i(q). Calculate u(5). -9 Let r(p) be the first derivative of -5*p - 1/4*p**4 - 1/2*p**2 - 1/3*p**3 + 10. Let b be (7 - (4 + 0)) + -3. Give r(b). -5 Let k(a) be the third derivative of -a**4/12 + 7*a**3/6 + 23*a**2. Suppose -2*n - 4 = 2*y, 3 - 11 = 4*y + 3*n. Let d be -3*(44/(-12) - y). What is k(d)? -3 Let k(b) = 8*b**3 - 20*b**2 - 2*b - 1. Let y(h) = h**3 - 4*h**2. Let w(p) = -k(p) + 5*y(p). Determine w(-1). 2 Let b(v) = 2*v**3 - 5*v**2 - 36*v + 95. Let o be b(3). Let s(h) = -h**2 + 2*h**2 + 8*h - 3*h. Give s(o). -4 Let p(t) be the second derivative of -t**3/3 - 11*t**2/2 - 816*t. What is p(-8)? 5 Let y(k) = -2*k**2 + 5*k + 1. Suppose -5 = -v - 5*f + 5, 7 = 2*v - 3*f. Determine y(v). -24 Let l(p) = -p**2 - p. Let w be l(-3). Let k(i) = -i**3 - 6*i**2 + 2. Let r be k(w). Let x(v) = r + 10 - 5 + v. Calculate x(-4). 3 Let w(r) be the third derivative of -r**6/120 - 11*r**5/60 - 3*r**4/8 + 2*r**3/3 - 117*r**2. What is w(-10)? -6 Let c(f) be the first derivative of f**4/6 - f**3/2 - 13*f - 2. Let l(a) be the first derivative of c(a). Calculate l(2). 2 Let d(r) = -2*r + r + r + 3*r - 6. Calculate d(-2). -12 Let k(t) be the third derivative of -t**6/120 + t**5/15 + t**4/12 + t**3 + 249*t**2. Let b(q) = -q + 16. Let u be b(7). Let z = u - 4. What is k(z)? -9 Let m be 15/6*-4 + 3. Let k(d) = -7*d**2 + 5*d - 23. Let p(b) = 3*b**2 - 3*b + 11. Let o(y) = 4*k(y) + 9*p(y). Give o(m). 7 Let l(t) = -t**3 + 13*t**2 + 14*t + 4. Suppose -2*c - g + 17 = -6, -4*c = -3*g - 71. Calculate l(c). 4 Let b(x) = 2*x - 3. Let o = -58 - -62. Let t be -4 + o + (0 - 3). Calculate b(t). -9 Let a(j) = 3*j + 25. Suppose 0*f + 2*f - 2*g = -10, -f = 4*g + 30. What is a(f)? -5 Let z(n) be the third derivative of -n**6/360 + n**5/120 - 3*n**4/2 + 27*n**2. Let y(x) be the second derivative of z(x). Determine y(-1). 3 Let w(f) = 21 - f - 9*f + 17*f - f**3 - 5*f - 10*f**2. Give w(-10). 1 Let d(f) be the third derivative of -f**6/40 - f**5/30 + f**3/3 + 334*f**2. Calculate d(2). -30 Suppose 8*q = -17 - 39. Let t(a) be the third derivative of a**6/120 + 2*a**5/15 + 3*a**4/8 + 3*a**3/2 + 14*a**2. What is t(q)? -5 Let v(y) be the first derivative of -y**4/4 - 5*y**3/3 + 5*y**2/2 + 5*y - 1216. Let t = 7 - 12. Determine v(t). -20 Let p be -6 + (4 - 5) + 1. Let j(n) = n**2 + 0*n + 5*n + 2 - 5. Calculate j(p). 3 Let u(n) = -4*n**3 - n**2 + 3*n + 3. Let c = -31 + 24. Let w(s) = -s**3 + s + 1. Let x(l) = c*w(l) + 2*u(l). Give x(-2). 1 Let u(b) = -3*b - 19. Let z be u(-7). Suppose 8 = k + q, z*q = -5*k + 7*q. Let o(x) = 3 - 5 + k*x + 22*x**2 - 26*x**2 + x**3. Give o(2). -2 Let n(d) be the third derivative of d**7/2520 - d**6/720 - d**5/30 - d**4/12 - 7*d**2. Let l(x) be the second derivative of n(x). Calculate l(4). 8 Suppose 4*k + 3779 = -k + 3809. Let z(p) = p + 1. Let j(q) = -q**2 + 8*q - 2. Let s(d) = j(d) - z(d). Give s(k). 3 Let j(z) = -z**2 - 18*z + 318. Let a be j(-29). Let x(n) = -2*n - 3. Give x(a). -1 Let o(n) = -7
{ "pile_set_name": "DM Mathematics" }
rt(2048)*1)**2 + sqrt(2048)) + -4. -8196 - 96*sqrt(2) Simplify sqrt(156)/(sqrt(1728) + 2*sqrt(1728)) + 4*-2*sqrt(325). -1439*sqrt(13)/36 Simplify -2 + (1*sqrt(12)/sqrt(4)*6)**2. 106 Simplify 0 + (sqrt(176) + 1 - sqrt(44)). 1 + 2*sqrt(11) Simplify ((1*sqrt(192) - sqrt(192) - sqrt(192)) + -1 + (5 + sqrt(192)*-1 - sqrt(192))**2)*-4. -3168 + 672*sqrt(3) Simplify sqrt(20)/sqrt(160) + ((sqrt(10) - -1*sqrt(10))/sqrt(5))**2 + -1. sqrt(2)/4 + 7 Simplify -5*((sqrt(144)/sqrt(6))/sqrt(8) + -1). -5*sqrt(3) + 5 Simplify (-5*(sqrt(17) + 0))**2 + -1. 424 Simplify (sqrt(425) + 5 + (sqrt(425) - (sqrt(425)*5)**2) - sqrt(425)) + 0. -10620 + 5*sqrt(17) Simplify -4 + sqrt(95)/sqrt(5) + 5 + sqrt(475). 1 + 6*sqrt(19) Simplify -2*(sqrt(72) + 2*-2*sqrt(72) - ((sqrt(72) + -1 - sqrt(72)) + 0))**2. -1298 + 72*sqrt(2) Simplify 4 + 2 + (1 + sqrt(19))**2. 2*sqrt(19) + 26 Simplify 5 + (sqrt(612) + -1 - sqrt(612))**2. 6 Simplify sqrt(12)/sqrt(6) + 1 + sqrt(2) + sqrt(24)/sqrt(3). 1 + 4*sqrt(2) Simplify -4*(-3 + (sqrt(4) - sqrt(64))/sqrt(2)). 12 + 12*sqrt(2) Simplify ((-1*sqrt(114)*1 + sqrt(114) + sqrt(114))/(sqrt(72)/sqrt(3)))**2. 19/4 Simplify ((-1*(sqrt(84) - (sqrt(84)*-1 + sqrt(84))))/(sqrt(108)/(sqrt(36)/sqrt(4))))**2. 7 Simplify -1 + (sqrt(28)/sqrt(4)*2 + 1)**2*4. 16*sqrt(7) + 115 Simplify (-6*-1*sqrt(228))/sqrt(12). 6*sqrt(19) Simplify 0 + (2*sqrt(440) - sqrt(440))/sqrt(10). 2*sqrt(11) Simplify sqrt(77)/(sqrt(7) + sqrt(7)*-2) - (sqrt(99)*-1)/sqrt(9). 0 Simplify ((sqrt(114) - sqrt(114)*-2)*6)/(-2*(sqrt(24)/sqrt(4) + sqrt(6))). -9*sqrt(19)/2 Simplify 2*(sqrt(180) + sqrt(180)*2 + sqrt(180))**2*-4. -23040 Simplify (sqrt(425) + -1)*-1 - sqrt(425). -10*sqrt(17) + 1 Simplify (sqrt(171)*-2)/sqrt(9) - (sqrt(19) + 0 + -4). -3*sqrt(19) + 4 Simplify ((sqrt(420) + -1*sqrt(420))/sqrt(7))/(sqrt(300)*2). 0 Simplify sqrt(44)/(-2*sqrt(4)*1). -sqrt(11)/2 Simplify (1 + sqrt(325) + 0 + (-3 + sqrt(325))*1 + sqrt(325))**2. -60*sqrt(13) + 2929 Simplify (-5*sqrt(170)*1)/(sqrt(490) + 1*sqrt(490) + sqrt(490)). -5*sqrt(17)/21 Simplify -2*(sqrt(170) + 4*sqrt(170))/sqrt(10). -10*sqrt(17) Simplify sqrt(52)/(sqrt(28)/sqrt(7)) + (-1 + sqrt(325))**2. -9*sqrt(13) + 326 Simplify 5 + -3*3*(-3*sqrt(11))**2. -886 Simplify ((-1*sqrt(88))/sqrt(8) + sqrt(11))**2 + (sqrt(44) + -1)**2. -4*sqrt(11) + 45 Simplify ((-2*(sqrt(3) - -1*sqrt(3)))**2 - (-5 + sqrt(3) + 1)) + sqrt(144)/sqrt(3)*-2. -9*sqrt(3) + 52 Simplify ((sqrt(13) + 1 + 1)*6 + -1)**2. 132*sqrt(13) + 589 Simplify ((sqrt(108) - sqrt(12))*-3)/sqrt(4). -6*sqrt(3) Simplify (sqrt(85)/sqrt(125))**2 - (sqrt(204)*-3)/sqrt(12). 17/25 + 3*sqrt(17) Simplify -3*((sqrt(325)*-1*3)**2 - sqrt(325)). -8775 + 15*sqrt(13) Simplify -5*sqrt(13)*-2 + sqrt(1300)*-2. -10*sqrt(13) Simplify (3 + (2 + sqrt(320))*-3)**2. 144*sqrt(5) + 2889 Simplify 4 + (6*(sqrt(847) + 4) - sqrt(847)). 28 + 55*sqrt(7) Simplify -2*sqrt(448) - 1*sqrt(847). -27*sqrt(7) Simplify sqrt(405) + 3*sqrt(405) + -2. -2 + 36*sqrt(5) Simplify (-5*sqrt(99) - -1*sqrt(99)) + 2. -12*sqrt(11) + 2 Simplify sqrt(88)/(6*sqrt(72)). sqrt(11)/18 Simplify sqrt(55)/(sqrt(5) + (sqrt(25)*1)/sqrt(5) + sqrt(5)) - (-5 + sqrt(22)/sqrt(2) - (sqrt(33)/sqrt(3) + -4)**2). -26*sqrt(11)/3 + 32 Simplify (sqrt(17) + sqrt(2448)*1 - sqrt(17)) + ((sqrt(102)/(2*sqrt(6)))**2 - sqrt(17)) + sqrt(17). 17/4 + 12*sqrt(17) Simplify (((sqrt(77) - -4*(1*sqrt(77) + sqrt(77)) - sqrt(77)) + sqrt(77))/(sqrt(11) - (sqrt(539)*-2 - sqrt(539))))**2. 567/484 Simplify -1 + sqrt(7)*-1 - sqrt(7) - (-3 + sqrt(7) + 1)**2. -12 + 2*sqrt(7) Simplify 3 + ((sqrt(5) - sqrt(20))*-1 - sqrt(60)/(1*sqrt(12))). 3 Simplify 1 + (-4*(sqrt(112))**2 - sqrt(49)/(-1*sqrt(7))). -447 + sqrt(7) Simplify ((1 + sqrt(1300))*3 - (-1 + sqrt(1053) + 4))**2. 5733 Simplify (sqrt(750)*2)/((-1*sqrt(72))/sqrt(12)). -10*sqrt(5) Simplify 0 + (-2*-1*sqrt(833))**2. 3332 Simplify 0 + (2*sqrt(22))/sqrt(2). 2*sqrt(11) Simplify -4 + sqrt(3)*2 + -5. -9 + 2*sqrt(3) Simplify 1 + sqrt(243) + -1. 9*sqrt(3) Simplify (sqrt(567) + 0)*4 - ((sqrt(567)*2 - sqrt(567) - sqrt(567))**2 + 4). -4 + 36*sqrt(7) Simplify ((3 + sqrt(363)*2 + 4)*-1)**2. 308*sqrt(3) + 1501 Simplify (4 + sqrt(110)/sqrt(10) + 5 + sqrt(176))**2. 90*sqrt(11) + 356 Simplify (-4*sqrt(15)*-3)/sqrt(3). 12*sqrt(5) Simplify (1 + -1 + sqrt(19) + sqrt(114)/(sqrt(24)/sqrt(4)))**2. 76 Simplify sqrt(70)/(sqrt(250)*1)*5. sqrt(7) Simplify -1 + (-1 + (sqrt(17) - sqrt(102)/sqrt(6)))**2*-4. -5 Simplify -2*((0 + sqrt(1053))**2 - sqrt(1053)). -2106 + 18*sqrt(13) Simplify (-2 + sqrt(99) - sqrt(99))**2 + sqrt(11) + sqrt(99)/sqrt(225). 6*sqrt(11)/5 + 4 Simplify (1 + ((-1*sqrt(288))/sqrt(12))/(sqrt(96)/sqrt(32)))**2. -4*sqrt(2) + 9 Simplify -5 + (sqrt(2448) - (-3 + sqrt(2448)))**2. 4 Simplify (5*-2*sqrt(85))/(sqrt(50)/sqrt(160)). -40*sqrt(17) Simplify ((-1 + sqrt(684) + 4)*-3*3)**2. 2916*sqrt(19) + 56133 Simplify (sqrt(5) - (-1 + sqrt(5)*-1))*-6. -12*sqrt(5) - 6 Simplify (5*sqrt(28) - (sqrt(28) + sqrt(28) + 0))**2. 252 Simplify -5 + sqrt(220)/(sqrt(11) + (-2*sqrt(11) - sqrt(11))). -5 - sqrt(5) Simplify (sqrt(11) - (1*-3*sqrt(11))**2)*-2. -2*sqrt(11) + 198 Simplify ((sqrt(121) - sqrt(121)*-2)*-2)/sqrt(11) - (sqrt(11) + sqrt(88)/sqrt(72) + 0). -22*sqrt(11)/3 Simplify (-4*(-3*sqrt(187) + sqrt(187)) - sqrt(187))/(sqrt(77)/sqrt(7)*5). 7*sqrt(17)/5 Simplify sqrt(28)/(sqrt(196) + 2*sqrt(196) - sqrt(196)) + 3 + -3. sqrt(7)/14 Simplify (sqrt(1700) + sqrt(1700) + (sqrt(1700) + sqrt(1700)*-1)*1 + sqrt(1700))**2 - (sqrt(425)*-1 + 5). 5*sqrt(17) + 15295 Simplify ((2*sqrt(99))/sqrt(9) - ((sqrt(11)*-2)**2 + -5)) + -3. -42 + 2*sqrt(11) Simplify ((0 + sqrt(363) - sqrt(363))**2*1 + sqrt(363) - sqrt(363)) + (sqrt(3) - sqrt(9)/(sqrt(6)/sqrt(2)))**2*3. 0 Simplify sqrt(24)/(sqrt(1728)/sqrt(4)). sqrt(2)/6 Simplify sqrt(102)/(sqrt(24)/sqrt(4) + sqrt(6) + sqrt(6)) - 4*(sqrt(17) + 1). -11*sqrt(17)/3 - 4 Simplify (-4*sqrt(66)/sqrt(2))/(sqrt(11) - (2*sqrt(1584) - sqrt(11))). 2*sqrt(3)/11 Simplify (-5*sqrt(27) - (sqrt(3) - sqrt(525)/sqrt(7)))**2. 363 Simplify 2 + (sqrt(128)/sqrt(4) - sqrt(32)). 2 Simplify sqrt(34)/(sqrt(2) - 5*sqrt(2) - sqrt(2))*6. -6*sqrt(17)/5 Simplify (sqrt(272) + 3 + -1 + sqrt(272) - (-5 + 3 + sqrt(272)))**2. 32*sqrt(17) + 288 Simplify (sqrt(34) + (sqrt(544) + sqrt(34))*6)/sqrt(2). 31*sqrt(17) Simplify -3*(-1 + -2*sqrt(1539) + 5 + sqrt(1539))**2. -4665 + 216*sqrt(19) Simplify 1*2*sqrt(1539)*-1. -18*sqrt(19) Simplify (-5 + 2*(sqrt(2736) + 3 + (sqrt(2736) - (sqrt(2736) - ((sqrt(2736)*1 - sqrt(2736)) + sqrt(2736))))))**2. 96*sqrt(19) + 43777 Simplify 1*sqrt(9)/((sqrt(18)/(3*sqrt(6)) - sqrt(3) - sqrt(3)) + sqrt(3)). -3*sqrt(3)/2 Simplify sqrt(52)/(sqrt(196)*2). sqrt(13)/14 Simplify sqrt(19) + -5 + (sqrt(19)*-1)**2 + -5 + -5. 4 + sqrt(19) Simplify ((sqrt(9)/sqrt(3) + 0)*-3)**2. 27 Simplify sqrt(45)*2 - -2*-1*sqrt(5). 4*sqrt(5) Simplify 3*(4 + sqrt(75) + 4*(0 + sqrt(75) + sqrt(75)))**2. 1080*sqrt(3) + 18273 Simplify -1*sqrt(1900)*-4 - sqrt(1900). 30*sqrt(19) Simplify (-2 + 2*sqrt(1008) - (-4 + sqrt(1008) + 1 + sqrt(1008)))**2. 1 Simplify -1*sqrt(272) + -2 - (sqrt(272) - -3*sqrt(272)*-1)**2. -1090 - 4*sqrt(17) Simplify (sqrt(847) + (sqrt(847) - (sqrt(847)*4)**2*2))*-1. -22*sqrt(7) + 27104 Simplify 6*(4 + 6*sqrt(19)*-1)**2. -288*sqrt(19) + 4200 Simplify (sqrt(7) + (sqrt(7) + (-1*sqrt(7))**2)*-3)*2. -42 - 4*sqrt(7) Simplify 1*(sqrt(1584) + sqrt(44)) + (sqrt(264)*3)/sqrt(6). 20*sqrt(11) Simplify sqrt(36)/(-4*-1*sqrt(12)). sqrt(3)/4 Simplify (1*(sqrt(49) - (sqrt(441) + sqrt(49))))/(-2*sqrt(21)/sqrt(3)) + -5. -5 + 3*sqrt(7)/2 Simplify ((sqrt(182)*-1)/sqrt(7) + sqrt(26))/(sqrt(2) - (sqrt(288) + 2*sqrt(288) - sqrt(288) - sqrt(288))). 0 Simplify ((-3*(0 + sqrt(171)) - sqrt(171)*-2*1) + 4)**2. -24*sqrt(19) + 187 Simplify ((sqrt(500) + sqrt(500) + 1)*3 - 2*(sqrt(500) + 1 + sqrt(500)))**2. 40*sqrt(5) + 2001 Simplify (4 + -1*sqrt(468))**2 + 1 + sqrt(468) + -2. -42*sqrt(13) + 483 Simplify ((sqrt(275) + 0)*-2)**2. 1100 Simplify (sqrt(21) - sqrt(3024)*3)/(sqrt(432) + sqrt(12)). -5*sqrt(7)/2 Simplify (-3 + (sqrt(72)*-4 - sqrt(2) - sqrt(2)))**2. 156*sqrt(2) + 1361 Simplify 1 + sqrt(2448) + (-1 + sqrt(2448))**2. -12*sqrt(17) + 2450 Simplify -3*(-1*sqrt(76)/(sqrt(8)/sqrt(8)))**2. -228 Simplify ((sqrt(240)/sqrt(4))/sqrt(12) + -1)**2. -2*sqrt(5) + 6 Simplify (-4 + sqrt(175) - 2*(sqrt(175) + sqrt(7)))**2
{ "pile_set_name": "DM Mathematics" }
325) + sqrt(325) + 5)*-1)**2 + -4). -287*sqrt(13)/2 + 16831 Simplify (-4 + sqrt(1100) + 0)*-2*4 - (-3*(-6*(sqrt(1100) + -1) - sqrt(1100) - sqrt(1100) - (0 + sqrt(1100) + 1*sqrt(1100))))**2. -990292 + 10720*sqrt(11) Simplify (2 + 5 + 2 + sqrt(3))**2 + 4 + sqrt(12)/sqrt(196) + sqrt(15)/sqrt(180). 769*sqrt(3)/42 + 88 Simplify ((4 + (1 + (4*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80) + 5 + sqrt(80)*3)*5)**2 + -3)*-3. -387459 - 32640*sqrt(5) Simplify 3 + (sqrt(133)/(sqrt(21)/sqrt(3)) - ((1*sqrt(152) - sqrt(152))/sqrt(8))**2) - (((sqrt(1539) - -4*sqrt(1539)) + sqrt(19))**2 - sqrt(76)/sqrt(324)). -40201 + 10*sqrt(19)/9 Simplify (6*(sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*2 + sqrt(108))*5)/(sqrt(225)*-1 - sqrt(9)*-2*-2). -40*sqrt(3) Simplify ((sqrt(180)*-4)/sqrt(10) + sqrt(450)*-2 + sqrt(450))/((sqrt(900)*2)/(sqrt(66)/sqrt(99))). -3*sqrt(3)/10 Simplify -5 + -4 + -6*((-1 + sqrt(242))**2 - sqrt(242)) + 4 + ((1 + sqrt(242)*1)*2)**2 + 2. -489 + 286*sqrt(2) Simplify 3 + (-4 + sqrt(300) + 3*sqrt(300)*2 + -5)*-2*5. -700*sqrt(3) + 93 Simplify (5*(sqrt(147) + -2)*-2 + -6*(-1 + sqrt(192)) + 3)**2. -6844*sqrt(3) + 42613 Simplify (sqrt(432)*-1 + sqrt(27))/(sqrt(27)/sqrt(12)) + (sqrt(252)/sqrt(175))/(sqrt(300)*-4). -601*sqrt(3)/100 Simplify ((5*sqrt(133) + sqrt(133) + sqrt(133) - sqrt(133))*-3 - -2*(sqrt(133) + (sqrt(133)*3 - sqrt(133)) + sqrt(133)))/(-4*sqrt(175)*5*5). sqrt(19)/50 Simplify 1*((6*(sqrt(125) + (sqrt(125) + sqrt(125) + 2)*6) + 0)*1 + 2)*1. 74 + 390*sqrt(5) Simplify (sqrt(52)/(sqrt(4)*2) - sqrt(143)/sqrt(44)) + 2 + (3*sqrt(637) - sqrt(637)) + sqrt(325) + 2 + -2 + 0. 2 + 19*sqrt(13) Simplify ((sqrt(1960) + sqrt(1960)*1)/(sqrt(800)*1 + sqrt(800)) + 5*sqrt(180)*4 + -1)*-1. -1207*sqrt(5)/10 + 1 Simplify ((3*-5*(sqrt(104) + sqrt(104)*3)*5)/(-6*-4*(sqrt(8) - (sqrt(8) - (sqrt(80)/(sqrt(10)*-2) + sqrt(8) + sqrt(8))))))**2. 8125/9 Simplify ((-5*sqrt(2156) + sqrt(308)/sqrt(567))/(((sqrt(100) + sqrt(100) + 3*sqrt(100))*-2 - sqrt(100))*4))**2. 24649/89100 Simplify (2*-6*(sqrt(864) - (sqrt(864) - (sqrt(864) + 2*sqrt(864)) - sqrt(864))))/((sqrt(144) - sqrt(4))/sqrt(2) - (-3*sqrt(242) - sqrt(242))). -576*sqrt(3)/49 Simplify (-4*((sqrt(85) + sqrt(85) + (sqrt(85) - -1*sqrt(85)))*3)/(4*sqrt(15)/sqrt(3)) + (sqrt(1275)*2 - sqrt(51))/(sqrt(147)*1) + -3)**2. 450*sqrt(17)/7 + 96066/49 Simplify 5 + (-6*(sqrt(304)*2 + sqrt(304)) - (sqrt(304) - (0 + sqrt(304) + 1)) - (5 + sqrt(304) + (sqrt(304) + 1 + sqrt(304) - sqrt(304)) + 4))**2*-4*5. -2433615 - 28800*sqrt(19) Simplify ((1 + (sqrt(275) - (-1 + sqrt(275))*-4 - (sqrt(275) + 0)*-6) + 4)*-4)**2 + 4. 1760*sqrt(11) + 532420 Simplify ((sqrt(200) + 5*sqrt(200))**2 + 3 - ((-6*sqrt(2450))**2 + sqrt(50))*5)*5. -2168985 - 125*sqrt(2) Simplify (1*2*-1*sqrt(78)*5)/((sqrt(6) - sqrt(192)/sqrt(8)) + sqrt(96)/sqrt(4)). -10*sqrt(13) Simplify 5 + ((1*sqrt(117)*-2)/(sqrt(576) - sqrt(576)*2) - sqrt(130)/((sqrt(100) + (sqrt(100) - (-2*sqrt(100) - sqrt(100))))/sqrt(10))*2). -3*sqrt(13)/20 + 5 Simplify (-5 + ((sqrt(85) + 2*(sqrt(85) + (sqrt(85)*-2 - sqrt(85)) + sqrt(85)))*-2)/((sqrt(60)/sqrt(4)*-3)/sqrt(3)))*6. -30 - 4*sqrt(17) Simplify (sqrt(5) + 0 + 5 - (5*sqrt(20) + sqrt(5)) - -2*(sqrt(5) + -2*sqrt(5))*1) + (sqrt(1500)*-3)/(-5*sqrt(60)/sqrt(5)). -9*sqrt(5) + 5 Simplify (sqrt(33) + (sqrt(825)*1 - sqrt(33)))/(sqrt(275)*-1) + ((sqrt(3300) + -3*sqrt(3300) + sqrt(3300))/(-1*sqrt(11)*-3))**2. -sqrt(3) + 100/3 Simplify (sqrt(1960) - sqrt(40))/(sqrt(18)*1) - (-5*(sqrt(55)/sqrt(99))**2 + (sqrt(180) - 2*sqrt(180)*-3)**2). -79355/9 + 4*sqrt(5) Simplify ((4 + -3*-3*(4 + -5 + sqrt(180) + -1 + sqrt(180) + (sqrt(180) - (-1 + sqrt(180) + 5))))*-2)**2. -43200*sqrt(5) + 243280 Simplify ((-4*(sqrt(114)*-1 - sqrt(114)) - sqrt(114) - (sqrt(114) + (sqrt(114) - (sqrt(114) + 2*sqrt(114))))*5)/(-2*sqrt(2904)))**2. 171/121 Simplify (-1*sqrt(18)*1*-5*4)/((-6*sqrt(66)*1)/(sqrt(11) - -1*sqrt(1100))) + -2. -110*sqrt(3)/3 - 2 Simplify 4 + -5*(-3 + -1*((3 + sqrt(153))**2 - sqrt(153))*-4) + -1. -3222 - 300*sqrt(17) Simplify (-5 + (sqrt(704)*3 - sqrt(704)) - (5 + sqrt(704)*4) - (5 + -6*(-6*(sqrt(704) + sqrt(704)*1) - sqrt(704))))**2 + 2. 19200*sqrt(11) + 4505827 Simplify (3 + (-6*(-1*sqrt(68) + sqrt(68)))/(sqrt(100)*-2 + sqrt(100) - sqrt(4)) + 1 + 3 + sqrt(17) + -2 + -2)**2. 6*sqrt(17) + 26 Simplify ((sqrt(360)*-2*2)/(sqrt(36)/sqrt(3)*6))/(sqrt(48)/(sqrt(40)/sqrt(5)) + sqrt(6)*-2*-3). -2*sqrt(5)/21 Simplify ((-1 + sqrt(2736))*3 + -4 - (sqrt(2736) + -1 + -1 + 0))**2*6*1. -1440*sqrt(19) + 65814 Simplify (2*sqrt(114)*6 + sqrt(114))/((sqrt(36)/sqrt(2))/sqrt(3)) + (1*(1 + -2*sqrt(76)))**2. 5*sqrt(19) + 305 Simplify (sqrt(1100)*2)**2*-2 + sqrt(1100) + 2 + 3 - (-3 + ((sqrt(539) - sqrt(539)*4)**2 - sqrt(539) - sqrt(11)))*1. -13643 + 18*sqrt(11) Simplify -3*(sqrt(4752)*2)/((sqrt(12) + sqrt(3))*-3) - (5 + (sqrt(1584) + 0)*6)*6. -424*sqrt(11) - 30 Simplify (sqrt(180)*1*-2 - (sqrt(180) - (sqrt(180)*-2 + 2 + sqrt(180))))**2 - ((sqrt(3630) + 1*sqrt(3630))/(sqrt(60)/(-2*sqrt(10))))**2. -6796 - 96*sqrt(5) Simplify -1*((sqrt(275) - ((2 + sqrt(275))*-1)**2)*-3 - (sqrt(396) + 2 - ((4*sqrt(55))/sqrt(5))**2)). -1011 - 39*sqrt(11) Simplify ((sqrt(288) + 1*sqrt(288))*-3)/(sqrt(324)*-4) - (sqrt(160)/(sqrt(20)/sqrt(4)*-5) + (((sqrt(96) - sqrt(96)*-1*-2) + sqrt(96))/sqrt(3))**2). 9*sqrt(2)/5 Simplify (sqrt(392)/sqrt(128) + sqrt(490)/(-3*sqrt(10)))/(sqrt(70)/(sqrt(120)/sqrt(12)) + (sqrt(14)*-4)/sqrt(2)). sqrt(7)/36 Simplify (-2 + (0 + sqrt(1458) + 4 + 4 + 3)**2)*2. 1188*sqrt(2) + 3154 Simplify (0 + (1*sqrt(26))/sqrt(2) + (sqrt(1053) - -1*sqrt(1053)))**2 + -1*5*(sqrt(52)/(sqrt(4)*-1))**2. 4628 Simplify -1 + sqrt(1216) + 2 + -2 + (sqrt(1216)*-1 - sqrt(1216)) - -1*(1*sqrt(1900)*-5)**2. -8*sqrt(19) + 47499 Simplify ((sqrt(2299)*-2*5 + 4)*5 + (1 + sqrt(2299))*3*-2*-1)**2. -25168*sqrt(19) + 4451540 Simplify ((-2*sqrt(4608)*-4)**2 + (sqrt(4608) + 1 + sqrt(4608))*-6 - (6*(sqrt(4608) + sqrt(4608) + 2)**2 + (sqrt(4608) + -2 + sqrt(4608))**2*-5))*1. -4800*sqrt(2) + 276470 Simplify (3 + (sqrt(1900) - 4*sqrt(1900)) - (sqrt(1900) + 3 + sqrt(1900) + 4 - sqrt(1900)) - (-2*(sqrt(1900) + -3*sqrt(1900)) + -3*sqrt(1900)*-3))**2. 1360*sqrt(19) + 549116 Simplify (3*(5 + sqrt(704) + sqrt(704) + sqrt(704)*-3 + 0 + sqrt(704)) + (sqrt(704) + -1*sqrt(704) + 0 - (sqrt(704) + sqrt(704) + sqrt(704)*-2)*6) + 4)**2. 361 Simplify (2*(sqrt(108)/(sqrt(27)/sqrt(3)) + sqrt(12)) - -1*sqrt(192)*-4)/(-5*2*sqrt(100) - (sqrt(100) - 2*sqrt(100)*3)). 12*sqrt(3)/25 Simplify (sqrt(4131)*-2 + sqrt(4131))/sqrt(3) + -2 - ((-1*-2*sqrt(204) + sqrt(204))/sqrt(12))**2*-2. -9*sqrt(17) + 304 Simplify 4*((sqrt(76)*1 - sqrt(76))*-5)/sqrt(4)*2 + 5 + -3. 2 Simplify ((sqrt(70) - -5*sqrt(70)*2 - sqrt(70)) + sqrt(70)*2*3)/(5*((-3*sqrt(90) + sqrt(90) - sqrt(90)) + sqrt(90))/sqrt(9))*-6*-2. -96*sqrt(7)/5 Simplify (3*(sqrt(33) - (sqrt(198)*3)/sqrt(6) - (sqrt(33) - sqrt(1188))*3))/(-3*(sqrt(432) - sqrt(36)/sqrt(3))). -13*sqrt(11)/10 Simplify (2 + ((3 + 5 + sqrt(475)*-3)*5 + -1)*1 + 4)**2. -6750*sqrt(19) + 108900 Simplify 5 + 5*3*-5*((sqrt(1300) + 2)*1 + sqrt(1300)) + 2. -1500*sqrt(13) - 143 Simplify 0 + (3*(1 + sqrt(171)))**2 + ((sqrt(209) - (sqrt(209) + -1*sqrt(209) + sqrt(209)) - sqrt(209))*4)/(sqrt(11) - sqrt(176)*3 - sqrt(11)) + 2. 163*sqrt(19)/3 + 1550 Simplify (sqrt(420)/(2*sqrt(10) + sqrt(10) + sqrt(10)))/(4*-2*sqrt(6)) - (6*-1*sqrt(847) + -2)**2. -30496 - 8449*sqrt(7)/32 Simplify 2 + (4*-6*(2 + -5 + sqrt(117) + -2*(sqrt(117)*2 - sqrt(117))))**2. 10368*sqrt(13) + 72578 Simplify (3 + sqrt(931)*-1*-5)**2 + (sqrt(209) + 2*sqrt(209)*1 + sqrt(209))/(sqrt(1584) - sqrt(1584)*2). 629*sqrt(19)/3 + 23284 Simplify ((((sqrt(99) - (sqrt(99) + (sqrt(99) - 2*sqrt(99)) + sqrt(99) - sqrt(99)))*4 - -4*sqrt(99)*-1)*3)/(-3*sqrt(54)/sqrt(6) + sqrt(63)/sqrt(28)))**2. 0 Simplify -1*sqrt(18)/(sqrt(900) + sqrt(900)*-2) + sqrt(32)*-3 + (sqrt(8))**2 + -4. -119*sqrt(2)/10 + 4 Simplify -1*((2*sqrt(104)*-2 + sqrt(104))/sqrt(8) + -5 + 0 + sqrt(208) + sqrt(1053)*2*-6 + (2*sqrt(1300))**2*-5). 107*sqrt(13) + 26005 Simplify ((0 + -4*(-2 + -4*(-1 + 2*sqrt(17))))*3*-4 + 1)**2. -74496*sqrt(17) + 2516161 Simplify (1*(-4 + (0 + sqrt(6336) - sqrt(6336)) - sqrt(6336)) + -1*-1*(sqrt(1100) + sqrt(1100) + -2 + sqrt(1100) + sqrt(1100) + -4))**2. -320*sqrt(11) + 2916 Simplify (sqrt(7) + (sqrt(343)
{ "pile_set_name": "DM Mathematics" }
aluate 3/(-4)*4/18. -1/6 What is 6/4*-2*16/(-24)? 2 Calculate (9 + -9)*(-8)/(-56). 0 Evaluate (5 + -11 - -7) + 0. 1 Evaluate 10/(120/156) - 11. 2 What is ((-2)/4)/(10/40)? -2 What is the value of 32/(-80) - 22/(-5)? 4 2/6 + (-5)/15 - 0 0 What is the value of (-1365)/1170*1/((-7)/4)? 2/3 What is (3 - (-5)/(-3))*(-4)/(-24)? 2/9 -4*55/176 + (-6)/8 -2 What is 12/105*(5 - (-30)/(-4))? -2/7 What is (-14)/(-3) + (-80)/16? -1/3 What is (3 - 3 - -3) + -4? -1 1*((-2)/10 + 0) -1/5 -3 + 580/(-150) + 7 2/15 Calculate (-16)/8 + 76/36. 1/9 Calculate (-1)/8 + ((-1287)/(-72))/(-13). -3/2 Evaluate 2*-2*1/4. -1 What is ((-9)/(-4))/(18/(-24))? -3 What is the value of 40/25 - (-13)/(-5)? -1 What is the value of ((-21)/(-12) - 1)/((-54)/(-360))? 5 Calculate 2*3/18 + 14/(-6). -2 What is the value of 10/(-6) + (-19)/57? -2 What is the value of ((-372)/(-12586))/((-9)/(-21))? 2/29 Evaluate (-25 - (-2980)/120) + 11/(-42). -3/7 What is the value of -2 - (1144/(-232) - 4/58)? 3 Evaluate 138/17 + (-64)/544. 8 Evaluate 5/(5/1) + (-5)/1. -4 (-15)/2 - (-25)/10 -5 What is the value of -8 - ((-4 - -7) + -19 - -8)? 0 (-2)/20 + 63/30 2 What is the value of 7/(280/(-172)) - (-3)/10? -4 Evaluate 1 + 8/(-14) + (-78)/378. 2/9 Calculate ((-10)/(-125))/(1/(-20)). -8/5 Calculate (8/150)/(14/35). 2/15 Evaluate (5 - 7)/14*21/(-3). 1 -8 - 243/(-45) - (-2 - 1) 2/5 What is (-1)/12 + (-19)/76? -1/3 What is the value of 1/(14 - 850/60)? -6 What is the value of -4 + (0 - 0) - (-273)/91? -1 What is (7 - (-372)/(-48)) + 45/44? 3/11 What is the value of ((-8)/3 + 2)*54/(-12)? 3 Evaluate ((-45)/6 - -4) + 2/4. -3 Calculate 27/(-42)*91/(-39). 3/2 (12/14)/(66/7 - 8) 3/5 What is 18/(-9)*3/18*3? -1 Calculate (-3)/(-15)*22 + -5. -3/5 What is the value of 2/((-34)/(-153) + (-40)/18)? -1 Calculate 5/(-6) + (-16)/24. -3/2 Calculate (4 - (-10)/(-5))*(-3)/(-18). 1/3 What is (-3)/(-12) - 3/4? -1/2 What is the value of ((-120)/100)/((-4)/(-10))? -3 (-6)/(-24)*-5*-1*4 5 What is the value of (-36)/(-8) + (-6)/(-12)? 5 What is the value of 3 - (7 + -2)/(2 - 0)? 1/2 Evaluate (64/20 - 4)*-5. 4 (-3)/1*(-44)/66 2 Evaluate (54/(-351))/(3/(-13)). 2/3 Calculate (-152)/57 + (-10)/30. -3 What is the value of (-4)/42 - (-30)/70? 1/3 Calculate (6/27)/((-13)/(-13)). 2/9 What is the value of (-2)/16 - (-130)/400? 1/5 Evaluate ((-45)/135)/(43/(-21) - -2). 7 What is the value of 35/66 + -2*29/348? 4/11 What is (-14)/(-16)*12/84? 1/8 10/15*(-21)/(-77) 2/11 Calculate (-1)/1 + 5 - (3 - 4). 5 What is (-1)/(-22)*-4 - 2/(-11)? 0 Evaluate (-8)/36 - (-4 - 494/(-126)). -1/7 What is 2/(-18)*-2 - 66/540? 1/10 What is the value of (-1 - (-15)/10)/(1/(-6))? -3 Evaluate (4/14)/((-26)/(-637)). 7 -6*6/18 - (0 - 3) 1 (2/(-4)*1*0)/2 0 What is the value of (-12)/(-12) + (-9)/7 + 0? -2/7 What is the value of ((-8)/5)/((-26)/65)? 4 What is the value of -7 - ((-5 - -9)/(-4) + 0)? -6 Calculate (-9)/(108/(-16))*5/(-20). -1/3 ((-3)/(-8))/((9 - 15)/2) -1/8 Evaluate (-30)/40 - (-19)/20. 1/5 Evaluate (-98)/20 - ((-1207)/(-170) - 7). -5 ((-2)/10)/((-7)/14) 2/5 Evaluate (-20)/60*9*2. -6 Calculate (-225)/(-150) - 27/6. -3 Evaluate (14/63 - (-33)/(-27))/3. -1/3 What is (36/(-54))/(4/(-42))? 7 What is the value of 54/9 + -3 + -2? 1 148/(-600) - (-2)/12 -2/25 Calculate 26/(-10) - (190/(-19) - -6). 7/5 (1 + 26/(-10))*(-35)/14 4 Evaluate 0/5 + 8 - 4. 4 What is the value of 1/(-42) - (-20)/(-279 + -1)? -2/21 Calculate 4/(-45)*40/16. -2/9 Calculate 82/(-164)*(1 - 1). 0 Calculate -8 + 168/20 - (-36)/10. 4 Evaluate (-4)/6 - (-28)/6. 4 Evaluate ((-5)/(-1))/(20/(-8)). -2 What is ((-33)/264 + (-11)/40)/2? -1/5 32/(-8) + (-1 - -3 - 3) -5 What is the value of (-5)/2 + (3 - 0)? 1/2 What is the value of (-117)/(-52) + (-5)/4? 1 5/5*(3 + -4)*2 -2 What is the value of (-3)/(-2) + 33/(-18)? -1/3 What is the value of (4/10)/(4/(-6))? -3/5 (8/(-4) - (-1 - -2)) + 2 -1 What is the value of 1*96/120*(-5 + 0)? -4 What is 8/28 + (-156)/(-42)? 4 What is the value of (-2)/(((-18)/27)/((-2)/(-8)))? 3/4 Calculate (-2)/(-10)*2 + (-384)/160. -2 Evaluate (-3*(-6)/6)/((-15)/20). -4 What is (24/60)/(14/(-5))? -1/7 5/(20/(-4)) + (-1 - -3) 1 Evaluate -7 + (-62)/(-10) - (-2)/10. -3/5 (15/(-3))/(-2 - -3) -5 Calculate 1/4 + (-396)/(-144). 3 Evaluate ((-12)/(-10) + 7/(-35))*-5. -5 Calculate 22 + 2/(-8)*52. 9 (-4)/8*1/((-5)/(-2)) -1/5 What is 16/4*(3 + (-85)/28)? -1/7 What is the value of 344/(-176)*2 - -4? 1/11 What is the value of -6 + -2 + 0 + 1? -7 What is ((-58)/(-87))/(((-4)/(-3))/(-2))? -1 Evaluate -1 - 0/(4 + -17). -1 Evaluate (1/(2/10))/(-4 - -3). -5 What is (-2)/((-10)/15*3)? 1 (-4)/10 + (-119)/(-210) 1/6 Evaluate 9/2*42/(-126). -3/2 Evaluate (((-81)/(-6))/(-3))/(-3). 3/2 Calculate (6 - 154/21)*3. -4 Evaluate 384/(-54) - (-5)/45. -7 Evaluate 0/3 + (-75)/200. -3/8 Evaluate ((-280)/(-420))/(20/(-6)). -1/5 Calculate ((-28)/(-20) + -3)/(-9 - -11). -4/5 Evaluate ((-2)/4)/((6 + -1)/(-5)). 1/2 Evaluate -6 + ((-3)/(-1))/(3/3). -3 What is 98/(-1008) - 2/(-9)? 1/8 What is the value of (-8 + 4)/(2 - 4)? 2 What is 9/((-45)/2)*(-2 - 8)? 4 Calculate 16/(-63) - (7/49)/(-1). -1/9 What is (8/56)/(6/28)? 2/3 Evaluate (-680)/204*(-2 + (-6)/(-4)). 5/3 Calculate (80/24 - 3)/((-1)/3). -1 What is -8 + 1136/72 + -8? -2/9 What is the value of (-8)/(-2) - (-3)/(-1)? 1 (-24)/312*0*(-1)/(-2) 0 What is the value of ((-4)/6)/((819/(-27))/(-13))? -2/7 4/((-72)/27)*(-2)/3 1 Evaluate -2*(29/18 + 15/(-10)). -2/9 Calculate (-16)/(-18)*(-207)/46. -4 Evaluate ((-329)/(-5922))/(1 - 7/8). 4/9 What is the value of (2*(-10)/25)/(20/(-150))? 6 Calculate 0/(7 - 20) - -2. 2 Evaluate ((-63)/42)/(10/4). -3/5 Evaluate (-1628)/(-1110) + (-5)/3. -1/5 (((-32)/(-12))/4)/4 1/6 What is the value of (9 + -16 + 9)*(-10)/4? -5 ((-44)/33)/((-2)/(-6)) -4 1 + -5 + 0 + 0 -4 What is the value of ((-3)/((-18)/4))/(2/6)? 2 Evaluate (-1)/4 - (-6 + 150/24). -1/2 What is (5/(-3))/((-50)/180)? 6 Calculate 5/(-4) + -2*5/(-40). -1 Evaluate 1 + -1 + -1 + 3. 2 Evaluate 0 - 0 - ((-6)/4)/(-3). -1/2 What is 26/(-221) + 7*(-10)/(-17)? 4 Evaluate -2 + (-612)/(-189) + 6/14. 5/3 What is (-2 + -2)/(-6 - 3)? 4/9 What is (140/(-14))/(4/(-2))? 5 Evaluate (-6 - 221/(-39))*10/4. -5/6 What is 3/8*4*20/6? 5 What is the value of 2/(((-14)/35)/((-24)/(-20)))? -6 Evaluate (-480)/800*(-5)/(-2). -3/2 What is the value of (-7)/((-196)/(-8)) + 10/14? 3/7 Evaluate (-5*4/8)/3. -5/6 ((-4)/(-6))/(136/(-306)) -3/2 What is 8/20*-4*(-15)/6? 4 What is (8/(-3))/((-132)/99)? 2 What is the value of (22/28 + -1)/(43/86)? -3/7 (42/(-7))/(5/10 + 1) -4 What is 104/572 - (2 + (-164)/66)? 2/3 -12 + (-1240)/(-52) + -12 -2/13 Evaluate (-3 - -1)/(-12) - 38/(-24). 7/4 What is (-34)/153*(-27)/21? 2/7 What is -3 + 24/(-18) + 6/(-9)? -5 Evaluate 15/(-1950)*32 - 2/(-5). 2/13 Calculate -3 + 190/75 - 4/(-6). 1/5 Evaluate ((-4)/(-9))/(5 + (-96)/18). -4/3 Calculate (8/(-18))/(((-32)/(-6))/8). -2/3 Evaluate -10*(3/(-6) - -1). -5 -17 + 19 - (-16)/(-7) -2/7 ((-3)/42)/((-6)/(-48)) -4/7 What is the value of 165/252 + -1*(-14)/147? 3/4 What is the value of (-4 + (3 - -2))/1 + 5? 6 Evaluate ((-18)/((-198)/55))/(3 - 4). -5 What is (-18)/4 + -4 + 9? 1/2 Calculate 3 + (-5 - 0) + 0. -2 What is the value of (44/33)/(1*8/24)? 4 ((-9)/(-2 + 5))/(9/6) -2 What is (-333)/63 - (-4 + -1)? -2/7 Calculate 144/(-27)*12/8. -8 What is (-2)/1 - (-11)/(-22)*-16? 6 Evaluate 5/(-1) - 6*-1. 1 Evaluate (-12)/(-51)*2*(-3)/(-12). 2/17 What is the value of -1*((-40)/(-340) - 22/(-102))? -1/3 Evaluate 11 + ((-76)/7 - -1). 8/7 Evaluate 3/(-30) - (-763)/(-70) - -1. -10 Evaluate (230/(-45) - -5) + 38/18. 2 Calculate ((-134)/65 + 2)/(2/(-5)). 2/13 What is the value of (-15)/2*42/(-63)? 5 Calculate ((-6)/(-12))/((-25)/(-15) + -2). -3/2 Evaluate ((-56)/(-12))/(-2)*6/63. -2/9 Calculate 140/112 + (-5 - 1)/3. -3/4 What is ((-6)/27)/(10/15)? -1/3 (-480)/(-1890) + (-3)/27 1/7 3/45 + 1 + 70/(-105) 2/5 Evaluate ((-64)/(-48))/((1/3)/(-1)). -4 What is (-34)/10 + 6/(-10)? -4 What is the value of (-10)/14*(5 + (-92)/20)? -2/7 -5 + (3 - 5/5) -3 Evaluate (3/(-27)*0)/2. 0 Evaluate (-19 - -14)*5*(-6)/(-525). -2/7 ((-4)/132)/(3/(-117)) - 1 2/11 What is 2/((-8)/3)*(-50)/(-150)? -1/4 What is ((-3 - -2) + 4)*(-987)/423? -7 What is the value of (-24 - (-2900)/120)/(2/8)? 2/3 Evaluate ((-6)/(-13) + 0)/3. 2/13 Evaluate ((-10)/(-4))/((-10)/20). -5 Calculate 10/(-6)
{ "pile_set_name": "DM Mathematics" }
e k(-12). Let i = 8 - 4. Let d be ((-4)/r)/(i/(-78)). Is -1/2 greater than d? False Suppose o - 4*o = -938886. Let n be o/1359729 + (-18)/81. Let b = n + 2/791. Which is greater: 1/3 or b? 1/3 Let o = -73525547/45 - -1633353. Suppose -548 = 18*r - 19*r. Let k = r + o. Which is bigger: k or -1? k Let l = 0.10296 + 1.89704. Which is smaller: -0.5847 or l? -0.5847 Let y = -206 + 259.2. Let s = y + -46. Which is bigger: s or 3? s Suppose 0 = 3*g + 6. Let u be g/(-4)*(-300)/(-125). Does u = -0.08? False Let r be (-3857)/168 - (-27 + 20). Is -15 bigger than r? True Let y be 10671/(-306)*3 - (-4)/34. Let l = 108 + y. Let d(w) = w**3 - 6*w**2 + 4*w + 4. Let z be d(5). Is l at least z? True Suppose -28*y + 38*y + 1404 = 19*y. Is y > 157? False Let v = -867 + 2357. Does v = -1? False Let s = -8302640/313 - -26526. Suppose -4*o = -0*o. Is s bigger than o? False Let r = 0.216 + 2.784. Let h = 2.6 - r. Which is smaller: h or 32/3? h Let z be (-16)/(-28) + (-612)/483. Suppose 4*o = 7*p - 5*p + 4, 5*o - 4*p - 8 = 0. Which is bigger: o or z? o Suppose -18 = 4*o - 2*o + 4*y, 3*y + 17 = 2*o. Let r = 35/478 + -409/18642. Which is smaller: r or o? r Let u be (2829/184 + -15)/(30/(-48))*(-10)/(-4). Let w = -2.1 - -2. Let x = 0 - w. Which is smaller: x or u? u Let k = 482 + -485.3. Let t = 5.3 + k. Which is smaller: 6 or t? t Let n be (-4)/66 - 59192/(-924). Which is smaller: n or 46? 46 Let a = 193 - 173. Let i(f) = 5*f**2 - 99*f + 27. Let g be i(a). Is 47 at least as big as g? True Let z(r) = -28*r - 57. Suppose -5*y = -p + 5 - 35, 2*y - 35 = 5*p. Let b be z(p). Are 79 and b equal? False Let q = 481 + 452. Let d = 932.8 - q. Which is greater: -58 or d? d Let x be (5*72/(-140))/(-3 + 128/42). Which is smaller: -55 or x? -55 Let n(v) = -6*v**2 + 494*v + 478. Let k be n(92). Do -4859 and k have the same value? False Let m(o) = -o**3 - 5*o**2 - 3*o + 7. Let c be m(-3). Let k = 658 - 665. Is c at most k? False Let l be (-427 + 1/(-1))*22/(-88). Let r = -109 + l. Is r not equal to -0.26? True Suppose -392 = -5*a - p, 2*a + p = 7*a - 388. Suppose -4*m + 5*j = a, 0 = 15*j - 16*j - 2. Let b be (-1)/2*-1*-38. Is m greater than or equal to b? False Let b be (-12)/((-2)/4 - 14/28). Suppose 3*v - 21 = b. Let f = 20 + -12. Which is greater: v or f? v Suppose 2*u - 168 = -4*f + 212, 4*u = 5*f + 773. Let j be u/(-240)*(2/4 - 1). Is -207 <= j? True Let r be (-2)/(-5) - (5 - 488788/580). Let y = 838 - r. Let p = -86/203 - y. Which is bigger: 0 or p? 0 Suppose -2*u = -2*p + 6, -3 + 19 = -3*u - 4*p. Is u at most as big as -141/49? True Let d = -2.4 - -2.7859. Let b = d + -0.0859. Let f = -2.7 - -3. Is f at least b? True Let y(n) = -5*n**3 - 16*n**2 + 12*n + 7. Let i be y(-10). Suppose 8*w + 11*w - i = 0. Is w at most 174? True Let o = -23 - -482/21. Let p = -83 - -86. Let v be 6 - (5 + p - 3). Is o > v? False Let a = -29 + 29. Suppose -2*h + 5*n + 0*n + 77 = a, -4*n = -3*h + 98. Suppose j - 19 = -h. Which is smaller: j or -8? -8 Let n = 0.226 + -30.926. Let x = 69 + -100. Let v = x - n. Is 2 > v? True Let h be ((-7)/(-7))/((-296)/(-13)). Let x = -6727/8584 - h. Is x at most as big as -1? False Let r = -71 + 71. Is -3/1670 at most r? True Let r be (151/604)/((-5)/4). Which is greater: r or -4/11? r Let o be ((-50)/(-135))/(11/6351). Let d = o - 2406/11. Is d >= -4? False Suppose -7*u + 44 + 5 = 0. Suppose u*z - 40 - 51 = 0. Which is smaller: 10 or z? 10 Let v = -40 + 86. Let n = 0.93 + -48.93. Let q = n + v. Which is greater: q or -0.1? -0.1 Let j(w) = 6*w**2 + 193*w + 32. Let v be j(-32). Suppose 4*p + 133 = -4*s - 31, -4*s + 3*p - 157 = v. Which is smaller: s or -44? -44 Suppose -f + 26*f - 112 = 113. Which is smaller: f or 10? f Let h = -0.002 - -0.102. Let x = 1.86 + -1.6. Let q = x + -0.16. Is h less than q? False Suppose 6*k = 5*k + 219. Suppose 85 + k = 4*u. Are u and 74 equal? False Let t be 9/3*(-2587)/(-39). Suppose -151 = 7*b + t. Is -50 greater than or equal to b? True Let u be -19 + -1446 + -2 + 4. Which is smaller: u or 0? u Let q = -0.93 + 0.18. Let u = q - -1.1. Let a = 0.45 - u. Is -21 less than a? True Let d = 15.234 - -0.036. Let l = -1.73 - d. Is -2/3 less than or equal to l? False Let r = -2099 + 2136. Is r not equal to -17? True Let z be 7*1 - (-4)/((-400)/725). Which is smaller: z or 744? z Let a(m) = -14*m**3 + 7*m**2 + 5*m - 24. Let r(o) = 3*o**3 - 2*o**2 - o + 6. Let x(d) = 2*a(d) + 9*r(d). Let q be x(-5). Is q at most as big as 230/9? False Let v = 3/3568 + -7247/132016. Is v smaller than -8? False Let o = 3984/61 - 129555/1342. Is o at most as big as -31? True Let n be 3/(3*1/20). Suppose 10*v + 33*v + 3450 = 3751. Are n and v unequal? True Let a = -167 - -305. Let z = a - 222. Which is bigger: -83 or z? -83 Let g(y) = -y**3 + 10*y**2 + 8*y + 8. Let t be g(11). Let j = 28 + t. Let n be ((-6)/10)/(j/15). Does n = -17/8? False Let d = 11090.05 - 11090. Is -0.0489 greater than d? False Suppose -2*m + 1292 = 3*d, m + 794 + 958 = 4*d. Let p = 0 - -1. Is d <= p? False Let u be (-9)/(-54) - 17/(-6). Let t be (u/(-2))/(1290/(-635)). Let m = 1/86 + t. Is m > 0? True Let l be ((-10)/(-5))/(-2*(-2)/50). Let f = l + -26. Let x be ((-8)/f - 2)*4/(-12). Which is smaller: -3/4 or x? x Let l be (44/10)/((-9)/(-45)). Let x be (4/l)/(150/190). Let j = -1/33 + x. Which is bigger: j or 0? j Let h = 11 - 6. Suppose 5*u + h = -5*k, 0 = u - 3*u. Let a be 1680/64480 - (-2)/(-31). Which is bigger: a or k? a Suppose 5*f - 2*w + 7 = -4*w, 0 = -5*w - 5. Let l be (-1166)/582 - (0 + -2 + 0). Which is smaller: f or l? f Suppose 22650 = 1083*s - 1133*s. Which is smaller: s or -457? -457 Let t be (-3570)/(-20)*(-4)/(-3). Let f(r) = -551*r + 11808. Let q be f(21). Which is greater: t or q? t Suppose -7*s = -2*s. Suppose 12*a + 12 = 8*a, -5*v - a + 187 = s. Let p = -57 + 96. Do p and v have different values? True Let g(y) = -y**3 - 8*y**2 + 6*y - 13. Let x be g(-9). Let n be (x - 17)*((-2)/(-2))/1. Let m = 5.8 + -6. Which is bigger: n or m? m Let j = 1648/7 - 97197/413. Let p = -16103 - -16104. Are p and j equal? False Let n = -55 + 84. Suppose 3*v - 162 = 5*z, 3*v = v - 5*z + 108. Suppose 2*b + 112 = 4*y, 0 = -3*y - 4*b + v + 41. Is n less than or equal to y? True Suppose -3*i = 1 + 23. Let f be (-12)/i*(-4)/(-6). Suppose -3*p + f = 16. Is -23/4 bigger than p? False Let z = -0.044 + -222.956. Let d = z + 222.6. Is -38 != d? True Let d(u) = 228*u - 3634. Let i be d(62). Is 10500 at most i? True Let o = -1963 + 774. Let h be 36/(-48) + o/(-1284). Let z = -1/107 + h. Which is greater: -0.1 or z? z Let v(n) = -2*n**2 + 19*n - 14. Let i be v(8). Suppose -228 = 3*c + 3*c. Let h = -27 - c. Which is greater: i or h? h Let p = -148722 - -1299681556/8739. Let t = p - -4891/157302. Which is greater: -1 or t? t Let y = 143.9 - 151. Let f = 8.1 + y. Which is smaller: -3/71 or f? -3/71 Let c be ((-2)/(-1))/(58*1). Let w be 9 + 17/((-119)/70). Is w bigger than c? False Suppose w + 92 = 5*w. Let u be (-416)/10*(-9015)/14424. Is u at least w? True Let a(l) = -l**2 + 19*l - 34. Let d be a(16). Suppose 0*h = -3*h - 12, 3*t - 217 = 4*h. Let i = -155/3 + t. Is d less than i? True Let o(z) = z**3 - 4*z**2 + 2*z + 3. Let d be o(3). Suppose q - 4*j + 72 = d, -q + 0*q - 2*j - 42 = 0. Suppose -68*g + 6188 = -87*g - 100*g. Is q at least g? True Suppose -2*y + 5*g + 41 = 0, 2*g - 5*g - 3 = 0. Let z be 150/54 - (-4)/y. Let c be (1*(-4 + 3) - 1) + 6. Which is smaller: c or z? z Let k(s) = -7*s - 17. Let u(d) = -6*d - 17. Let r(j) = -3*k(j) + 4*u(j). Let g be r(-8). Let c be 4/g - (-12)/(-70). Which is smaller: c or -2/5? -2/5 Let m = -2211 - -2212. Which is smaller: m or 700/11? m Suppose -4*c + 3*p - 2 = 26, -4*c - 28 = 5*p. Let q be (35/c - -5)/1. Which is bigger: q or -1/593? q Let j be (-3 + (-26)/(-10))*(-40)/(-16). Let f be (-1)/(j - 186/8). Is f at most 0? False Let d = 9180 + -321164/35. Is d < 3? False Let i = 9203.7 - 9203. Which is greater: i or 1/21? i Suppose 37 = -6*y + 7*y. Suppose -7*b = -30 + 2. Let w be (2/(-2))/(0/(-1) + b). Which is smaller: y or w? w Suppose -3*v + 59 = -l + 130, 4*v - 3*l + 88 = 0. Which is greater: v or 21/17? 21/17 Suppose 147*t = 235*t + 16896. Which is smaller: t or 4/5? t Let n = -26.1732 - 0.8268. Is 1.4 less than or equal to n? False Let i be ((-1915832)/220)/17*(-130)
{ "pile_set_name": "DM Mathematics" }
+ 44*t**2 + 639 - 2939 - 42*t**2 wrt t? -44*t + 7 Let o be 42/15 + 3 - 7/(-35). Differentiate -2*z - 31 + 47*z - 68 - o with respect to z. 45 Find the second derivative of -673*g + 856*g**4 - 848*g + 80*g - 65*g + 22*g wrt g. 10272*g**2 Let m(z) = -2419*z**4 - 6*z**3 - 480*z - 3. Let p(b) = -2419*b**4 - 8*b**3 - 479*b - 4. Let f(s) = -4*m(s) + 3*p(s). Find the second derivative of f(q) wrt q. 29028*q**2 Let r be 1 + 5 + 1 + -4. Let a(o) = 2*o - 13. Let l be a(9). Find the second derivative of -5*k**5 - 10*k + 0*k**5 + r*k**l - 4*k wrt k. -40*k**3 What is the first derivative of -2474*g**2 - 10193 + 851*g**2 + 759*g**2 - 704*g**2 - 2553*g**2 wrt g? -8242*g Let j(s) = 3367*s**2 + 30*s + 3311. Let t(w) = 3368*w**2 + 24*w + 3309. Let z(l) = 4*j(l) - 5*t(l). Differentiate z(n) with respect to n. -6744*n Let y(h) be the third derivative of -531*h**6/20 + 167*h**4/2 - 879*h**2 - 2*h. What is the second derivative of y(s) wrt s? -19116*s What is the third derivative of -1919*d**2 + 300*d**3 + 404*d**2 - 31*d**2 - 299*d**3 - 671*d**6 + 126*d**6 wrt d? -65400*d**3 + 6 Suppose 5 = -2*i - 1. Let l be (-13)/i*6*5/10. Find the second derivative of -35*u - u - 28*u**3 + l*u wrt u. -168*u Let r(f) be the third derivative of 61*f**7/210 - f**5/30 - f**4/24 + 59*f**3/2 + f**2 - 8297*f. Find the second derivative of r(v) wrt v. 732*v**2 - 4 Let o(b) be the first derivative of 3121*b**6/3 + 2*b**5/5 + 22*b**2 + 22*b + 11375. Find the second derivative of o(q) wrt q. 124840*q**3 + 24*q**2 Let d(s) = 921*s - 850. Let x(i) = 1838*i - 1697. Let v(p) = -7*d(p) + 4*x(p). Differentiate v(z) with respect to z. 905 What is the first derivative of -449*z**2 - 44*z**2 - 3*z + 2*z - 750 - 85 wrt z? -986*z - 1 Let w(z) be the third derivative of 13*z**7/35 - 19*z**4/8 - 291*z**2. What is the second derivative of w(k) wrt k? 936*k**2 Let k be 2/((24/(-9))/(-4)). Find the second derivative of k*s + s**3 + 16*s + 27*s - 11*s**4 - 13*s**4 wrt s. -288*s**2 + 6*s Let w(l) = -3*l. Suppose -33*f - 1 = -32*f. Let s be w(f). What is the third derivative of 24*n**s + 5*n**2 + 10*n**2 - 7*n**2 wrt n? 144 Suppose -10*w + 8*w + 6 = 0, 3*w - 3 = 2*k. Let o(l) be the third derivative of 0*l - 1/3*l**4 - 4*l**2 + 0 + 13/6*l**k. What is the derivative of o(v) wrt v? -8 Let l(d) be the third derivative of 337*d**8/84 + d**4/8 - 17*d**3/2 - 600*d**2. What is the second derivative of l(m) wrt m? 26960*m**3 Let z be (-1 - 0)/(1*(-9)/639). What is the second derivative of -f**3 + 1 - 4*f**5 + 25*f - z*f + 8*f**5 - 9*f**3 wrt f? 80*f**3 - 60*f Suppose -3*n = -4*n - g - 5, 4*n = -2*g - 22. Let r(a) = 65*a**4 - 29. Let b(u) = -66*u**4 + 31. Let q(z) = n*r(z) - 5*b(z). Differentiate q(d) wrt d. -240*d**3 Let r(w) = 3*w**2 - 2*w - 38. Let z(o) = o. Let g be 12 - (3 + -2 + 1). Let k be 144/80 - (-2)/g. Let h(u) = k*z(u) + r(u). Differentiate h(m) wrt m. 6*m Let i(k) be the second derivative of -140*k**3 - 601*k**2 - 2007*k. Find the first derivative of i(r) wrt r. -840 Let k(q) = -15560*q**2 - 75*q + 3631. Let g(y) = -140040*y**2 - 660*y + 32680. Let j(u) = 5*g(u) - 44*k(u). What is the derivative of j(o) wrt o? -31120*o Let b(d) = d**2 + 22*d - 39. Let l be b(-24). Find the third derivative of 3021 + h**6 + l*h**2 - 3021 - 4*h - 64*h**4 - h**2 wrt h. 120*h**3 - 1536*h Let q(k) be the third derivative of k**8/112 - k**7/5 + 865*k**4/24 + k**3/3 - 3075*k**2. What is the second derivative of q(n) wrt n? 60*n**3 - 504*n**2 Let y = -9 + 1. Let m = -1 + -2. Let t(w) = 12*w - 47. Let f(k) = -4*k + 16. Let v(x) = m*t(x) + y*f(x). What is the derivative of v(d) wrt d? -4 Let o(a) = a + 27. Let n be o(-20). Let i = n - -11. What is the second derivative of 10*b**3 + i*b**3 + 6*b - b + 4*b**3 wrt b? 192*b Suppose 0 = -3*l + 28 + 77. Let o = l - 33. Differentiate 21 + v**2 - 1 - 4*v**o + 6*v**2 with respect to v. 6*v Find the second derivative of -56*t**3 + 864 - 138*t**2 - 22*t**5 + 133*t**2 + 4*t + 68*t**3 wrt t. -440*t**3 + 72*t - 10 Suppose 41 = -21*d + 125. Find the third derivative of 2301*t**d - 1147*t**4 - 1154*t**4 - 101*t**2 - 6*t**5 wrt t. -360*t**2 Let u = 39 - 35. Let y(o) = 3*o + 2. Let z be y(u). Find the third derivative of 8*j**2 + z*j**5 - j**5 + 3*j**2 + 4*j**5 wrt j. 1020*j**2 Let j(v) = 3163*v**3 - 13*v**2 - 154*v + 11. Let p(q) = -q**2 + 1. Let b(u) = j(u) - 11*p(u). What is the third derivative of b(z) wrt z? 18978 Let p(d) be the first derivative of -8*d**2 + 78 + 2/3*d**3 + 0*d**4 + 0*d - 114/5*d**5. What is the third derivative of p(i) wrt i? -2736*i Let c(r) be the third derivative of -r**7/6 + r**6/20 + 329*r**5/30 + r**4/12 - r**3/2 + 11*r**2 - 239*r. Find the third derivative of c(l) wrt l. -840*l + 36 Suppose 0 = m - a - 155, -5 = -18*a + 17*a. Find the second derivative of -m*o**2 + 51*o**2 + 180*o - 86*o wrt o. -218 Let j(a) be the third derivative of -49/24*a**6 - 1/6*a**3 + 98*a**2 - 15/4*a**4 + 0 + 0*a + 0*a**5. Find the second derivative of j(y) wrt y. -1470*y Let n be 3/(11/(253/3)). What is the second derivative of -n*h**2 - 14*h**5 + 212*h + 17*h**5 + 23*h**2 wrt h? 60*h**3 Let t(k) = 2. Let d(s) be the first derivative of -33*s**2/2 + 50*s + 138. Let x(j) = -d(j) - 2*t(j). Differentiate x(h) with respect to h. 33 Let j(a) = -82*a**3 - a**2 + 59*a - 7. Let s(k) = 163*k**3 + 2*k**2 - 118*k + 16. Let y(w) = -11*j(w) - 5*s(w). What is the second derivative of y(r) wrt r? 522*r + 2 Let h(s) = -6*s**3 + 2*s**2 + 2*s. Let w be h(-3). Let u be -2 + 7/(14/402). Find the third derivative of 6*g**4 + u*g**2 - 28*g**4 - w*g**2 wrt g. -528*g Let h(v) be the third derivative of 13/120*v**6 + 0*v**5 + 0*v - 244*v**2 + 0 + 43/24*v**4 + 0*v**3. What is the second derivative of h(m) wrt m? 78*m Suppose 5*c + 31 = -j - 87, -3*c - 74 = -j. Let w be (8 - 2)/(4*(-9)/c). What is the derivative of -158*r**4 + 22 + 3 - w + 166*r**4 wrt r? 32*r**3 Let t(v) = 15*v - 11. Let w be t(1). What is the third derivative of -2*z**3 - 3*z**4 - 511*z**2 - 11*z**w + 532*z**2 + 3 wrt z? -336*z - 12 Suppose -3*l + 12 = 5*w, -6*w = -3*w - 4*l - 13. Find the second derivative of 11 + 1 + 16*y**2 - 67*y - 1 - 12 + w*y**3 wrt y. 18*y + 32 Suppose 2*i - 21 = -5*q, -3*q + 8*q - 5*i = 0. What is the third derivative of 3 + 205*f**2 - 16688*f**3 - 3 + 16691*f**q + 3*f**4 wrt f? 72*f + 18 Let c(p) be the first derivative of -47*p**3/3 + 67*p**2/2 - 2583*p + 6858. What is the derivative of c(q) wrt q? -94*q + 67 Let s(m) = -m**2 - 21*m - 55. Let w be s(-22). Let c = 85 + w. Differentiate -13 + 18 - 5*b + c - 20*b wrt b. -25 Let k(s) be the third derivative of s**7/105 - 13*s**6/40 + 79*s**5/60 + 43*s**2 + 1. Find the third derivative of k(t) wrt t. 48*t - 234 Let v = -251 - -254. Find the first derivative of -v*a**4 + 101 + 1917*a**3 - 2*a**4 - 1920*a**3 wrt a. -20*a**3 - 9*a**2 Let i(d) be the second derivative of 19/6*d**4 + 1/2*d**2 - 37/3*d**3 + 2*d + 110. What is the second derivative of i(p) wrt p? 76 Let a(x) be the first derivative of -2/3*x**3 + 0*x + x**4 + 35 + 17*x**2. What is the second derivative of a(g) wrt g? 24*g - 4 Let g = -117 + 121. What is the second derivative of 4*u + 200*u**g - 16*u + 15*u + 31 wrt u? 2400*u**2 Let u(y) be the first derivative of 1150*y**3/3 - 59*y**2 + 465. Find the second derivative of u(d) wrt d. 2300 Let y(a) = a**3 - 11*a**2 - 25*a + 16. Let c be y(13). Suppose 9*b + 11 - c = 0. Find the third derivative of 2*v**b - 22*v**5 + 19*v**5 - 7*v**2 wrt v. -180*v**2 Let h(v) = 11*v. Let k(w) = 8581*w**3 + 10062*w**2 - 33*w. Let r(d) = 3*h(d) + k(d). What is the third derivative of r(i) wrt i? 51486 Let f(b) = 28*b + 200. Let a be f(-7). Find the third derivative of 15*o**a + 6*o - 17*o + 10*o + 52*o**2 - 32*o**2 wrt o. 360*o Let a(d) be the first derivative of -244*d**5 - 5*d**3/3 + 2857*d - 2104. Differentiate a(h) with respect to h. -4880*h**3 - 10*h Differentiate 2859*z**4 - 13491*z**3 + 4285 + 13491*z**3 - 1785*z**4 + 4398*z**4 wrt z. 21888*z**3 Find the first derivative of -2655 - 14 - 2980 + 51 - 725 + 4860*w wrt w. 4860 Find the third derivative of -72*k**6 + 172*k**6 - 94*k**2 + 783*k**6 - 4*k wrt k. 105960*k**3 Let a(l) = -6*l**2 + 7*l + 2. Let z = -35 + 31. Let f = 2 + z. Let v(t) = t**2 - t + 1. Let w(y) = f*v(y) + a(y). What is the second derivative of w(q) wrt q? -16
{ "pile_set_name": "DM Mathematics" }
- 33, -11 = -j - 2*h. Let r(l) = 2*l**2 - 4*l - 1. Let k be r(3). Let c = k - -1. What is the smallest common multiple of j and c? 66 Suppose 3*h = -h. Let v = 1 + h. What is the smallest common multiple of 1 and v? 1 Let q = -8 - -11. Suppose -3*a + 7*a = q*f - 21, 4*a = -4*f + 28. Calculate the lowest common multiple of 3 and f. 21 Let v(z) = -z**3 - 8*z**2 - z - 5. Let r = -11 - -3. What is the lowest common multiple of v(r) and 8? 24 Suppose 0 = 3*y + 5*l - 7, 4*y - 8 = l + 9. What is the smallest common multiple of y and 8? 8 Let d = -1472717/50 + 29453. Calculate the common denominator of -59/30 and d. 150 Calculate the common denominator of (6 - 3) + (3 - 250/32) and -23/4. 16 Let t = -53 - -62. What is the least common multiple of 12 and t? 36 Calculate the common denominator of -3*3/(-27)*-10 and -73/4. 12 Let h(t) = t**2 - 6*t - 8. What is the smallest common multiple of h(8) and 16? 16 Suppose z + 2*z + 14106 = 0. Let j be (0 + z)*41/20. Let m = j + 9648. Calculate the common denominator of -11/4 and m. 20 Let a = -9288 - -204233/22. Let g = -2/9603 - 585767/76824. Calculate the common denominator of a and g. 88 What is the common denominator of -2 - (267/(-48) - -3) and 57/20? 80 What is the common denominator of 0 + (-1)/((-30)/(-363)) and -41/10? 10 Let v = -1389/14 + 446/7. What is the common denominator of v and ((-126)/44)/(2/2)? 22 Let i = 19 + -18. Calculate the least common multiple of i and 7. 7 Let l = 41 + -17. What is the least common multiple of 12 and l? 24 Suppose -b - 4*m - 12 = -5*b, b = -5*m + 3. Suppose 0*d - 2*n = 4*d - 62, 3*d - 69 = b*n. Calculate the lowest common multiple of d and 12. 36 Find the common denominator of -85/8 and (-220)/(-18) + 16/(-4). 72 What is the common denominator of (-62)/(-54)*15/15 and 52/27? 27 Let n = 325/48 + 79133/336. Let y = n - 244. Calculate the common denominator of y and -37/8. 56 Let c be ((-10)/(-1) + 1)/1. Suppose 4*p + 21 = p. Let z = c + p. Calculate the lowest common multiple of 1 and z. 4 Let k be 5*(1/(-5) + -1). Let u be k/(-21) + 839/(-154). Let o = u + 133/11. Calculate the common denominator of 97/8 and o. 56 Find the common denominator of (-1)/4 + 885/(-36) and -38/21. 42 Suppose -2*k = 4, 5*k - 22 - 3 = -5*b. Calculate the lowest common multiple of 1 and b. 7 Suppose 2*k + 16 = 160. Suppose 4*b + k - 364 = 0. Suppose 0 = 3*i + 13 - b. Calculate the lowest common multiple of i and 8. 40 Let b = 7 + -4. Suppose 5*k + 3 = 4*k, -b*k - 5 = 2*u. Find the common denominator of (375/(-8))/5 - u and -149/12. 24 Let p = -32 + 6. Calculate the common denominator of p and 20/11. 11 Let w = 2359 - 14213/6. Calculate the common denominator of w and (-2)/4 + (-190)/16. 24 Suppose 5*a = 4*a. Suppose a*v + 14 = 2*b - 2*v, -2*b - v = -5. Calculate the least common multiple of 7 and b. 28 Let s = 5 + -2. Suppose 10*t - 12 = 6*t. What is the smallest common multiple of 6 and 4/t*9/s? 12 Let w = 116089/15778 - 4/7889. Let x = -1067/7 - -13441/84. Calculate the common denominator of w and x. 84 Let c = 3/5989 - 377355/95824. Find the common denominator of c and (15/220)/((-6)/20). 176 Let z(u) = 2*u + 21. What is the smallest common multiple of z(-7) and 3? 21 Suppose 0*s + s = 4. What is the smallest common multiple of s and (0 - -18)/(8 - 7)? 36 Suppose -z - 3 = -13. Let g be 22/5 - 6/15. Suppose g*j - 4*c - 20 = 3*j, 3*j - 60 = -c. What is the smallest common multiple of j and z? 20 Calculate the common denominator of 11/8 and (-6)/(-9)*(-36)/(-10). 40 Let i = -3238 + 58345/18. What is the common denominator of i and 117/14? 126 Let z = 293/5 - 59. Suppose p - 7*g - 10 = -2*g, 0 = -5*p + 4*g + 8. Calculate the common denominator of z and 1 + 125/(-6) - p. 30 Let f be (8/6)/(1/(-3)). Let h be (-10)/20*f/1. Suppose -h*g = -7*g + 50. What is the least common multiple of 6 and g? 30 Suppose 3*a - 4 = -a, 4*i + 5*a = 37. Calculate the smallest common multiple of i and 3. 24 Let w = 2293/6 - 22801/60. What is the common denominator of w and 167/60? 60 Let z = -1855/12 - -519/4. Let f(x) = -x**2 - x - 13. Let r be f(0). Calculate the common denominator of z and (-2)/r + 1180/(-572). 66 Suppose 3*q + 0*b + b = 37, 0 = 5*b - 5. Calculate the lowest common multiple of q and 9. 36 Calculate the smallest common multiple of -2 + 4 + 4 - 2 and 16. 16 Let v = -200/109 - 11987/1962. Let f = -323/14 - 164/7. What is the common denominator of v and f? 18 Let d = -18 + 2. Let y be (-87)/9*(-5 - 13). Find the common denominator of (4/d)/(4/y) and 149/18. 72 Let l be (7 + 2/(-2))/2. Let q be 509/(-3) - (0 - l). Let j = 165 + q. What is the common denominator of -44/3 and j? 3 Let i(p) = -p - 371. Let r be i(0). Let y = r - -1072/3. Find the common denominator of y and 59/7. 21 Suppose -5*o = -3*o - 2*x - 14, -4*o - x + 53 = 0. Calculate the least common multiple of o and 8. 24 Suppose 7*j - 88 = 3*j - 2*c, -3*c = -4*j + 68. What is the least common multiple of j and 35? 140 Let n = 12 - 13. What is the least common multiple of 92/6 - 6/(-9) and (25 + n)*3/4? 144 Let y = 1/2452 - -120137/26972. What is the common denominator of 53/39 and y? 429 Suppose 0 = 52*z - 44*z - 32. Let o(r) = 7*r**3 + r**2 - r. Calculate the lowest common multiple of o(1) and z. 28 Suppose -224 = w + w. Let m = w - -431/4. Find the common denominator of m and 97/16. 16 Let n = 421/2475 + -34/99. Let m = -4/25 + n. What is the common denominator of 3/(-5)*(-206)/(-12) and m? 30 Let y = 32 + -14. Suppose 2*m - 3*m + 4*k + y = 0, -k = -5*m + 52. Calculate the smallest common multiple of m and 6. 30 Let j be (1 - -2382) + 2/2. Let x = -13494 + j. Let l = 222113/20 + x. Find the common denominator of -113/20 and l. 20 Suppose 2*x - 18 = -0*l - 2*l, 4*x = 3*l + 15. Let s = -8 - -11. Calculate the lowest common multiple of x and s + -3 + (21 - 1). 60 Suppose -k - 27 = -77. Suppose 3*a = -4*y + 26, a - 4*a + k = -2*y. Suppose -4 = -2*m + a. Calculate the smallest common multiple of m and 5. 45 Let k = 1798 - -659. Let m = -366882 - -3279775/9. Let o = k + m. Find the common denominator of 61/9 and o. 9 Suppose c - 3 = 2. Let b = 2 - -2. Suppose b*p = 3*p + 4. What is the smallest common multiple of c and p? 20 Let b = 11 + 1. Find the common denominator of (-2)/1 - (-173)/b and -101/14. 84 Let s(q) = q + 1. Let r be s(0). What is the smallest common multiple of (-2 - 1)*(-2)/r and 16? 48 Let b(m) = 3*m**2 + 4*m + 3. Let o be b(-2). Suppose 2*n + 5*v = -2*n - 13, 5*n - 3*v = -o. What is the common denominator of -76/9 and 40/(-9) + n/(-3)? 9 Suppose -4*a = -8*a + 80. What is the lowest common multiple of 10 and a? 20 Let k = -2/1997 - 109821/13979. Let n(h) = 1377*h + 1. Let w be n(2). Let u = 13818/5 - w. What is the common denominator of k and u? 35 Let w be (1*4)/((-2)/(-4)). Let v = -4551/5 - -921. What is the common denominator of ((850/w)/5)/1 and v? 20 Let c be 2/(-3)*(-3)/(-2). Let v(a) = -2*a**3 + a**2 + a + 1. Calculate the least common multiple of -2 - (3*2)/(-1) and v(c). 12 Find the common denominator of (16/256)/(10/856) and 1/14. 140 Suppose -f + 5 + 0 = 0. Suppose 3*g + 108 = f*g. Suppose 4*q + 14 - g = 0. Calculate the lowest common multiple of q and 1. 10 Let d be (-3 + (-24)/(-4))/(-544). Let s = -172432141/2720 + 317014/5. Let h = d + s. Calculate the common denominator of h and 50/9. 72 Suppose -9 = -3*i + 5*s, -3*s - 49 = -5*i - 6*s. Let k = -4 + i. What is the least common multiple of k and 9? 36 Suppose -5*n + 25 = 0, -3*r + 5*n + 15 = -r. Suppose t - 81 = -3*w - 19, 5*w - 94 = 3*t. What is the lowest common multiple of r and w? 20 Suppose -3*c = 2*l - 15, c + l + 5 = 2*c. Calculate the lowest common multiple of ((-15)/(-12))/c*4 and 1. 1 Let h = 30 - 26. Calculate the lowest common multiple of h and 8. 8 Find the common denominator of 396/20*3/((-48)/(-5)) and 7/24. 48 Suppose -5*n = 15, 38 = w + n - 37. Suppose 5*j - c + 2*c + w = 0, 2*j + 2*c + 28 = 0. Let m = 22 + j. Calculate the least common multiple of m and 10. 30 Let w = 11 - 11. Calculate the common denominator of w + ((-266)/32 - -3) and -5/22. 176 Find the common denominator of 12 and 2 - (-1)/(4/(-41)). 4 Let a(w) be the third derivative of w**4/24 + 3*w**3/2 + 2*w**2. Let q be a(-7). What is the smallest common multiple of 10 and 2*(q*8)/2?
{ "pile_set_name": "DM Mathematics" }
4 - 1/60*q**6 + 3*q + 0*q**2 + 0. Factor u(s). -s**3*(s - 1)/2 Let y(t) be the third derivative of t**6/420 + t**5/70 + t**4/42 - 2*t**2. Factor y(u). 2*u*(u + 1)*(u + 2)/7 Let t(x) be the first derivative of -x**7/126 + x**6/90 - x - 4. Let r(n) be the first derivative of t(n). Find c, given that r(c) = 0. 0, 1 Suppose 0 = -4*i + s + 28, -11 + 31 = 5*s. Let c be (-5)/(-20) + 14/i. Find n such that -n**c - 3*n + 5*n**2 - n**2 = 0. 0, 1 Let t = -1075 + 4349/4. Let h = -12 + t. Factor -h*d + 0 + 1/4*d**3 + 0*d**2. d*(d - 1)*(d + 1)/4 Factor 3/2*a**2 + a + 0 + 1/2*a**3. a*(a + 1)*(a + 2)/2 Find n such that 0*n**3 + 0*n + 0 + 0*n**2 + 1/3*n**4 + 1/3*n**5 = 0. -1, 0 Let x(g) = 12*g**4 - 9*g**3 - 3*g**2. Let h(o) = 3*o**4 - 2*o**3 - o**2. Let b(z) = -15*h(z) + 4*x(z). Factor b(v). 3*v**2*(v - 1)**2 Suppose 4*l + 4*l - 56 = 0. Let i(p) be the second derivative of 1/4*p**2 + 1/20*p**6 + 1/3*p**4 + 3/8*p**3 + 0 + p + 7/40*p**5 + 1/168*p**l. Factor i(t). (t + 1)**4*(t + 2)/4 Let c be 8 + (-3 - (-1)/(-1)). Factor -a**3 - c - 9*a**2 + 13*a**2 - a**3 + 2*a. -2*(a - 2)*(a - 1)*(a + 1) Let z be -2 + 2 - 24/(-8). Determine p, given that -15*p**2 - 6*p + 0*p**3 - 5*p**3 + 4*p**3 + 22*p**z = 0. -2/7, 0, 1 Suppose -4*m + 0*m - 6 = 2*o, 31 = -4*m + 3*o. Let k(n) = n**3 - n**2 + n - 1. Let i(y) = -6*y**3 + 9*y**2 - 10*y + 7. Let f(l) = m*i(l) - 20*k(l). Factor f(d). 4*(d - 2)*(d - 1)**2 Determine h so that -2/5*h**2 - 13/5*h**3 - 9/5*h**5 - 24/5*h**4 + 0 + 0*h = 0. -2, -1/3, 0 Let v = -19 + 21. Suppose -v*a - 2*b = -2, -4 = -4*b + 8*b. Let 2/3*u + 0 + 2/3*u**a = 0. What is u? -1, 0 Let b(t) be the first derivative of -t**4/20 - t**3/15 - 18. Solve b(k) = 0. -1, 0 Let a be 4 - 156/(-90)*(-6)/4. Suppose 14 = 2*i + 4. Suppose 6/5*u**i + 0*u - 6/5*u**3 + 8/5*u**2 - a*u**4 - 1/5 = 0. What is u? -1, -1/3, 1/2, 1 Let r(u) = 13*u**3 + 45*u**2 + 64*u + 37. Let a(w) = 84*w**3 + 292*w**2 + 416*w + 240. Let d(h) = -5*a(h) + 32*r(h). Factor d(x). -4*(x + 1)*(x + 2)**2 Determine p so that -416*p**2 + 679*p**4 - 512*p**5 - 3 - 66*p - 1578*p**4 - 1216*p**3 - 637*p**4 - 1 = 0. -2, -1/4 Let s(x) = 2*x**2. Let a be s(-1). Factor -4*z - a*z**3 + z - z**3 - z**2 + 7*z**2. -3*z*(z - 1)**2 Let w(m) be the first derivative of -49*m**6/15 + 77*m**5/10 - 16*m**4/3 + 4*m**3/3 - 2*m + 3. Let p(r) be the first derivative of w(r). Factor p(g). -2*g*(g - 1)*(7*g - 2)**2 Let u(n) = -n**2 + 31*n + 3. Let o be u(31). Factor 0*b**2 - 1/7*b**5 - 1/7*b + 0 + 0*b**4 + 2/7*b**o. -b*(b - 1)**2*(b + 1)**2/7 Let r be 9268/(-2318) + -6 + 10. Let q = 2340/12749 - r. Let 4/11*t + q*t**2 + 0 = 0. What is t? -2, 0 Suppose 4*f**2 + 7 - 20 + 9 = 0. What is f? -1, 1 Suppose -c = -2*q - 2, 0*c = 3*c - q - 6. Suppose 11/4*h**c - 3*h**5 - 11/4*h**4 + 0 + 1/2*h + 5/2*h**3 = 0. Calculate h. -1, -2/3, -1/4, 0, 1 Let s(u) be the second derivative of -3*u + 1/108*u**6 + 0*u**2 + 1/2*u**3 - 1/18*u**4 + 0 + 1/60*u**5. Let d(h) be the second derivative of s(h). Factor d(t). 2*(t + 1)*(5*t - 2)/3 Let h(m) be the third derivative of m**6/360 - m**5/60 + m**4/24 - 2*m**3/3 + 2*m**2. Let y(a) be the first derivative of h(a). Factor y(n). (n - 1)**2 Let c(y) be the first derivative of 0*y**3 + 0*y**2 + 0*y - 2 - 1/4*y**4. What is i in c(i) = 0? 0 Let q = 4 - 2. Factor 2/5*p + 2/5*p**4 + 2/5*p**5 + 2/5 - 4/5*p**q - 4/5*p**3. 2*(p - 1)**2*(p + 1)**3/5 Let z(d) = -14 + 5*d - 6*d**2 - 8 + 17. Let k(j) be the second derivative of j**3/6 + j**2/2 - j. Let l(a) = -3*k(a) - z(a). Solve l(b) = 0 for b. 1/3, 1 Let j(o) be the third derivative of 0*o + 0*o**3 + 1/4*o**4 - 6*o**2 - 1/30*o**5 + 0. Factor j(k). -2*k*(k - 3) Let l(g) = -g**2 - 6*g + 9. Let j(q) = -q**2 - q - 1. Let h be j(-3). Let p be l(h). Factor -p*v + 3 - 3 - 4*v**2 - 2*v**3 + 0*v. -2*v*(v + 1)**2 Suppose f + 34 = 4*a, 5*a + 34 = -2*f - 21. Let k = 32 + f. Solve -12/7*j + 2/7*j**k + 18/7 = 0. 3 Let p(z) be the second derivative of z**6/135 - z**5/45 + z**4/54 + 5*z. Find w such that p(w) = 0. 0, 1 Let h(i) = i**4 + i**3 + 11*i**2 + 11*i - 3. Let f(b) = -10*b**2 - 10*b + 2. Let v(s) = -3*f(s) - 2*h(s). Factor v(y). -2*y*(y - 2)*(y + 1)*(y + 2) Determine j, given that -30*j**2 + 10 - 55 + 5*j**3 + 60*j + 5 = 0. 2 Let d(i) be the third derivative of -i**5/15 + 2*i**4/3 - 8*i**3/3 + 40*i**2. Find o, given that d(o) = 0. 2 Let k be 2/6 - (2/3 - 1). Factor 0 - 2/3*i - k*i**2. -2*i*(i + 1)/3 Let h = -192 - -962/5. Factor -2/5 + 2/5*v**2 - h*v**3 + 2/5*v. -2*(v - 1)**2*(v + 1)/5 Let j(y) be the second derivative of y**6/24 - 7*y**5/16 + 25*y**4/16 - 65*y**3/24 + 5*y**2/2 - 12*y. Factor j(t). 5*(t - 4)*(t - 1)**3/4 Let x(f) be the third derivative of f**4/24 - f**3 + 4*f**2. Let r be x(8). Factor -1/2*m**3 + 0*m**r + 0*m - 3/2*m**4 + 0. -m**3*(3*m + 1)/2 Suppose -3*a + 39 = 10*a. Find g such that -2/9 - 14/9*g**2 + 10/9*g + 2/3*g**a = 0. 1/3, 1 Suppose 0 = -r - 6 + 15. Find v, given that -2*v + 3*v**2 - v + 1 + r*v**3 - 2*v = 0. -1, 1/3 Factor -4*j**2 + 0*j**2 - 6*j**2 - j**3 - 9*j + 4*j**2. -j*(j + 3)**2 Suppose 3/5*c**3 + 1/5*c + 0 + 1/5*c**4 + 3/5*c**2 = 0. What is c? -1, 0 Suppose 9*o - 4*o - 10 = 0. Suppose 4*h + h - k = 9, -3*h - 4*k + 10 = 0. Factor -h*j - 3*j**2 - j**2 + o*j**3 + 2*j**2 + 2*j**4. 2*j*(j - 1)*(j + 1)**2 Let p be -2*(3/6 + -1). Let o be 4 - p/1*2. What is q in o*q - 2*q**4 + q**5 + q**5 - 2*q = 0? 0, 1 Let y(p) be the second derivative of p**4/48 - p**3/2 + 9*p**2/2 + 11*p. Factor y(a). (a - 6)**2/4 Let u(f) be the first derivative of f**4/36 + f**3/9 + f + 3. Let b(q) be the first derivative of u(q). What is v in b(v) = 0? -2, 0 Suppose 3*z + 5 = 20. Suppose -2*x = -q + 9, -q + z*x = -4*q - 6. Factor 0*c**q - 2/3*c**4 + 4/3*c + 0 + 2*c**2. -2*c*(c - 2)*(c + 1)**2/3 Let k(c) = -c + 9. Let g be k(6). Suppose -2*j + g*x + 0 = 3, -j + x = 0. What is y in 8/7*y**2 + 0 - 8/7*y - 2/7*y**j = 0? 0, 2 Let c(g) = 11*g**2 - 29*g + 19. Let p(z) = -5*z**2 + 14*z - 10. Let a(l) = -2*c(l) - 5*p(l). Factor a(i). 3*(i - 2)**2 Factor f**3 - 3*f + 2*f**3 - f**2 + 6*f + 7*f**2. 3*f*(f + 1)**2 Let w(k) = 2*k**4 + k**3 + 3*k**2 + 4*k. Let q(i) = -2*i**4 - 2*i**2 - 4*i. Let t(g) = 5*q(g) + 4*w(g). Determine p so that t(p) = 0. -1, 0, 1, 2 Suppose 4*q = 3*q. Suppose q*a = -a. Find z, given that -6*z**2 - 4*z - z**4 - 4*z**3 + a*z**2 - 3 + 2 = 0. -1 Let x = -149 - -151. Let c(q) be the second derivative of 1/40*q**5 + 1/24*q**4 - 1/12*q**3 - 1/4*q**x + 0 + q. Let c(n) = 0. Calculate n. -1, 1 Suppose 4*n - 15 + 7 = 0. Factor 6/7*i + 2/7*i**n + 4/7. 2*(i + 1)*(i + 2)/7 Let d(l) be the third derivative of l**8/3024 + 2*l**7/315 + 47*l**6/1080 + 13*l**5/135 - 2*l**4/9 - 32*l**3/27 + 33*l**2. Determine s so that d(s) = 0. -4, -1, 1 Suppose -2*n + 8 = -q, 0 = -2*q - 2*n - 2*n + 24. Let p = 3 + 10. Factor -p*d + q*d**3 + 2*d**2 + 13*d. 2*d**2*(d + 1) Factor 8/3*p**3 + 0 - 2*p + 2/3*p**2. 2*p*(p + 1)*(4*p - 3)/3 Let x(t) be the second derivative of t**4/4 + 3*t**3/2 + 11*t. What is i in x(i) = 0? -3, 0 Let s(m) = -6*m**2 - 12*m - 4. Let t(n) = -17*n**2 - 37*n - 13. Let o(q) = -7*s(q) + 2*t(q). Factor o(h). 2*(h + 1)*(4*h + 1) Let l(c) be the third derivative of -1/3*c**3 - 2*c**2 - 1/8*c**4 + 0*c + 0 + 1/30*c**5. Solve l(o) = 0. -1/2, 2 What is h in 0 + 0*h**4 + 0*h + 0*h**2 + 4/3*h**3 - 4/3*h**5 = 0? -1, 0, 1 Find v such that -5/3*v**2 + 3 - v - 1/3*v**3 = 0. -3, 1 Let r(b) = -3*b - 1. Let p be r(3). Let a be 3/45 - 6/p. Suppose -a*v**2 + 4/3 - 2/3*v = 0. What is v? -2, 1 Let d(i) be the first derivative of i**5 + 5*i**4/4 - 5*i**3/3 - 5*i**2/2 + 1. Factor d(m). 5*m*(m - 1)*(m + 1)**2 Let g be 369/54 - (-1)/6. Solve 8*b**2 - 3*b**3 + 6*b**5 + g*b**3 - 2*b - 4 - 4*b**4 - 8*b**5 = 0 for b. -2, -1, 1 Suppose -c + 3*n + 14 = 0, -c - 23 = 2*c + 4*n. Let w be (-18)/(-30)*(c + 10). Let -81/5*m - 3/5*m**3 + w*m**2 + 81/5 = 0. Calculate m. 3 Let m(y) = -y**3 + 10*y**2 - 13*y + 8. Let z be m(9). Let t be 2/(-12) + z/(-72). Find x such that 0*x**2 + t*x**3 - 4/9 - 2/3*x = 0. -1, 2 Let m(k) = 3*k**2 - 15*k - 16. Let d be m(-1). Let 6/5*q**d - 2/5*q + 0 = 0. What is q? 0, 1/3 Let h be ((-18)/27)/(1*(-13)/9). Factor -2/13*r**2 - h*r**3 - 6/13*r**4 - 2/13*r**5 + 0*r + 0. -2*r**2*(r + 1)**3/13 Factor 0*y - 2/13*y**2 + 0 - 2/13*y**3. -2*y**2*(y + 1)/13 Suppose 12 = p + 9. Let h(f) be the first derivati
{ "pile_set_name": "DM Mathematics" }
e 0 = -2*f + 4*w, 2*w - k = 4. Which is greater: f or 5? f Let w be 1*2*(13 - 11). Suppose 0 = 2*k - 4, -3*v - k + 2*k = -w. Is 7 equal to v? False Suppose 2*m + 0*m = 8. Suppose -4*u - 30 = u. Let n be (-45)/(-6)*m/u. Which is bigger: n or -4? -4 Let x be (1 + 1 + 1)/1. Suppose -x*f = 2*f. Let y be -4 - ((-200)/(-13))/(-4). Is y >= f? False Suppose -31 = -3*w + 89. Suppose d + m + 7 = 0, d - 4*m + 2 = -0*m. Let p be (36/30)/(d/w). Which is greater: -5 or p? -5 Let x = -2 - -17. Let t be 2 + (-1 + 4)/3. Suppose -45 = -t*k - 0*k. Do x and k have different values? False Suppose 3*d = -q + 86, -5*q - 150 = -10*d + 5*d. Suppose -m + 88 = 4*k, m = -3*k + 3*m + 55. Let w = d - k. Is w smaller than 8? False Let c be 12/(-2)*144/27. Let f be 4/3*144/c. Let x be 48/126 + f/9. Which is bigger: -35 or x? x Let h = -3 + 0. Let l be h/2 + 15/6. Let u be (-48)/(-26) + -3 + l. Which is smaller: u or 0? u Suppose -5*i + 21 = -4. Suppose 0*b - 3*y = -i*b, -2*b + 3*y = 0. Suppose 3*m - 8 = -3*x + 10, 4*m = -5*x + 25. Is x >= b? True Let m be (-16)/318*(-18)/(-24). Which is bigger: m or 10? 10 Suppose -23 + 3 = -5*n. Suppose -4*x = -2*x - n. Suppose -2 = -z + g, -x*z = 3*g - 2*g + 8. Which is smaller: -0.1 or z? z Let g = -163.21 - -163. Is g at most -1? False Suppose -k = -5*x - 1873, -k + 4*x + 1583 = -295. Let f = k + -168924/89. Let u = f + 99/445. Which is smaller: u or -1? -1 Let v(z) = 106*z - 6. Let g be v(-3). Let u be (g/(-140) - 3) + (-2)/(-3). Which is bigger: u or 0? 0 Let a be (4 - 120/14) + (-6)/14. Let c be -1*((-4)/(-16))/(a/(-4)). Which is smaller: -1 or c? -1 Let g(t) = -t**2 - 67*t + 627. Let h be g(-77). Which is smaller: h or -2? h Let r = 435 + 279. Which is greater: r or 715? 715 Let s be 6*(592/(-132) - 4/22). Is -28 bigger than s? False Let m(p) = -p**2 - 6*p + 3. Let s be m(-6). Suppose -s*n + 31 = -4*i, -2*n + 3*n = i + 9. Let g be (12/(-10))/((112/(-40))/(-7)). Which is smaller: g or i? i Let t = -1.2 + 0.7. Let n = 5.23 - 0.43. Let z = n + -5. Is z greater than t? True Suppose 4*d - 23 = 81. Suppose 3*h - h + d = 0. Let z = h + 12. Is z > -6/7? False Suppose -3*r + 7*r + 4 = 0. Let k = 0.45 + 29.55. Let i = 24 - k. Which is greater: i or r? r Let s = -3454 - -13961/4. Let k = 690433/12 - 57574. Let q = k + s. Which is greater: q or -2? q Let a = 684 - 2056/3. Is a equal to 2/29? False Let d(l) = -2*l**2 + 41*l + 25. Let s(z) = -z + 19. Let q be s(-2). Let w be d(q). Is 26/5 smaller than w? False Suppose 4*u + 24 = 4*m, 5*m + 0*u - 14 = u. Let j(f) = -f**3 + f**2 + f + 3. Let t be j(m). Which is bigger: t or -3/11? t Let u = -36.09 + 34.6. Let s = -0.49 - u. Is s at least 2? False Let k(i) = -i**2 - 7*i - 3. Let s be k(-8). Let m(d) = -4*d**2 - 3*d - 2. Let z = 7 - 9. Let a be m(z). Which is smaller: a or s? a Let l = 0.3227 + -0.0227. Which is smaller: l or -0.033? -0.033 Let d be (1 - -1)*5/2. Suppose -a + u - 2 = a, 3*a + 10 = d*u. Which is smaller: a or 2? a Let g = -183 + 182. Is 0.31 at most as big as g? False Let x = -685 - -719.28. Let p = 34 - x. Is 1 greater than or equal to p? True Let l be (-8772)/(-255) + 2/(-5). Is 33 greater than l? False Suppose 0 = 2*p - 4*p - 2*g + 32, -3*p + 16 = -5*g. Is 3 at least as big as p? False Let z = -61 + 116. Suppose 6*q - q = -z. Is -13 not equal to q? True Suppose -54*h + 58*h - 16 = 0. Suppose 0 = -h*s - 4*s + 152. Which is smaller: s or 20? s Let f = -74 - -73. Let l be (f - (-4 + 1)) + (-198)/121. Is l greater than 0? True Let a = -218 + 11989/55. Let x(q) = q**3 - 3*q**2 - q + 4. Suppose 3*u - 8*u + 35 = 5*i, 0 = -5*u - 2*i + 23. Let h be x(u). Which is greater: a or h? h Let l = -1.74 + -117.26. Let s = l - -134. Is -0.1 equal to s? False Suppose 2*d + 12 = -4*p - 8, 0 = 3*d + 3*p + 15. Let h = 175 + -298. Let i = h + 489/4. Which is bigger: d or i? d Let n be 3/(-10)*19/((-20520)/75). Do n and 0 have the same value? False Suppose 0 = -19*d + 6042 - 779. Suppose g - 4*x + 190 = 3*g, d = 3*g + 4*x. Which is smaller: 88 or g? g Let n(s) = -s**3 + 12*s**2 + 379*s - 37. Let f be n(25). Is 1313 >= f? True Let a = -5.331 - -2.331. Is 0.253 greater than a? True Let r = 542090 - 16269629/30. Let o = r - -231. Which is greater: 0 or o? o Let f = 2 - 1.7. Let i = 2.3 + -1. Let k = f - i. Is 2 greater than or equal to k? True Suppose 747*t - 750*t + 93 = 0. Is t less than or equal to 336/11? False Let n(h) be the first derivative of 3*h**2/2 + 10*h - 2. Suppose 6*p + 5*u - 5 = p, 0 = 5*p - 2*u + 30. Let q be n(p). Do -6/7 and q have the same value? False Let w = 1588 + -1296. Is 289 not equal to w? True Let k(r) be the third derivative of r**5/60 + 5*r**4/12 - 4*r**3/3 - 5*r**2. Let j be k(-11). Suppose 0 = v + 2*v - j. Which is bigger: 1/11 or v? v Suppose 7*k - 45 = 2*k. Let z be ((-2)/2)/(-23 + 24). Let m be (-2 + 1)/(z/k). Which is bigger: m or 8? m Let b = 96521/154 + -12267/14. Let l = b - -250. Let x = -0.2 + 1.2. Is l > x? False Let l = -268 - -1347/5. Let y be (8/(-70))/(8/20). Which is greater: y or l? l Let a = 0 - 1. Let c = -2863/94 + 27/470. Let n = 30 + c. Is a greater than n? False Let g(v) = v**3 - 8*v**2 + 3*v - 52. Let n be g(9). Is 55 less than n? True Suppose 5*k + 2*o = 4*o + 5, 0 = 2*k + 2*o - 2. Let v = -33 - -51. Let a be v/(-210) - 2/10. Which is greater: k or a? k Let p(u) = -7*u - 41. Suppose 1 = -3*a - 17. Let v be p(a). Which is smaller: 2/7 or v? 2/7 Let b be (2 - 0) + 0 + (-198)/126. Let a = 4 - 2. Suppose 0 = p + c - 1, a*c - c = 0. Which is smaller: b or p? b Suppose 10*j + 4 = 12*j. Suppose 0 = 2*p - 2, -j - 3 = 2*h - 3*p. Which is bigger: h or -1/10? -1/10 Let a = -535 + 938. Which is smaller: 402 or a? 402 Let a = 2959 + -2771. Is a at least as big as 188? True Let r = -6 - -6. Let v be (-90)/(-16)*(-5)/25. Let o = -7/8 - v. Is o > r? True Let j = -3 - -15. Let q be (j/(-39))/(25 - (3 - 0)). Which is greater: 0 or q? 0 Suppose 3*x = -0 + 6. Let y be -2 + (x - 1 - -1). Let t = 1 - y. Which is smaller: t or 0.01? 0.01 Let n be (-1)/3 + (-16859)/(-69). Is n greater than or equal to 242? True Suppose 0 = -0*j - 3*j + n + 11, -2*j = -n - 9. Let v be 8/j - (0 - 1). Suppose -v*t - 26 = -3*h - 3, 20 = -5*t. Which is greater: h or -1/20? h Let o = -947/130 - -37/5. Suppose -10*z = -77*z. Is z at most as big as o? True Suppose n = 4*n + 144. Suppose 1922 + 1966 = -81*c. Is n at most as big as c? True Suppose -5*k - 54 = -8*k. Suppose -3*d = -5*c - 22, 0 = -2*d - 4*c - k - 4. Which is greater: -3/44 or d? -3/44 Let q(s) = 2*s**3 - 10*s**2 + 5*s + 12. Let c be q(4). Which is greater: -4/131 or c? c Let s = -193 - -587/3. Which is greater: s or 3? 3 Let a = -24.3 + 23. Let y = -1.3 - a. Let c = 2 + y. Is c <= -1? False Let r = 1076 - 1531. Which is smaller: -454 or r? r Let d(g) = -g**3 + 17*g**2 + 36*g + 47. Let y be d(19). Is y greater than or equal to 9? True Suppose u + a + 5 = -u, -2*u + 3*a + 15 = 0. Let l be 1*((-264)/(-63) + -4). Which is bigger: l or u? l Let n be 73/413 - (-1)/(-7). Suppose 0 = 3*l + 4*i - 13, i - 3*i + 11 = -3*l. Is l less than n? True Suppose 6*j = -2*j - 24. Let f be (j + 2/(230/347))*-5. Which is smaller: -1 or f? -1 Let z = 141394/5083 - 640/23. Let g = z - 874/1105. Are g and -2/3 non-equal? True Let j be (-12)/39*(68/144)/(-17). Is -1 greater than j? False Let s be (-7)/35 - 517/(-35). Let k = s - 932/63. Let q be 1/(-3) + 12/9. Which is greater: q or k? q Let k(z) = z**2 - 14*z - 36. Let i(h) = -h**2 + 14*h + 37. Let q(a) = -5*i(a) - 6*k(a). Let u be q(16). Let f = -167/1590 - 3/106. Which is greater: u or f? f Let d = 2371 + -26206/11. Which is greater: d or -10? -10 Let i be 43/204 - (-2)/(-8). Is -1 at least as big as i? False Suppose 0 = 15*b + 269 + 361. Which is greater: -41 or b? -41 Suppose -16 = -2*x - 0*x - 5*t, 3*t = 3*x - 3. Let v(u) = -u**x - 3*u + 14*u + 8*u**2 + 7 + 3*u**2. Let m be v(12). Which is greater: 1 or m? 1 Let o = -78/155 + 1793/3255. Let q = -0.1 - 1.9. Let l = -2 - q. Which is bigger: l or o? o Let p(g) = -g**3 + 22*g**2 + 14*g + 43. Let i be p(23). Is -164 greater than i? False Let g be -4 + 16 + -5 + 549/(-81). Are -1 and g equal? False Suppose -z - 5*r + 89 = -100, -5*z + 4*r = -945. Which is smaller: z or 190? z Let l = 12 + -6.1. Let h = -6 + l. Let m = h + -0.1. Which is bigger: 0.3 or m? 0.3 Le
{ "pile_set_name": "DM Mathematics" }
+ 2? 89 Calculate 16 - (-11 + -19 + 40). 6 Calculate 3 + 5 - (13 + -17) - 0 - 2. 10 104 - (-29 - ((171 - 154) + (-35 - 2))) 113 Evaluate 33 + 1 + 27 + -50. 11 -74 - (-17 + -34) - -40 17 What is (18 - -28 - 94) + 101? 53 What is -257 - -189 - (-65 + -5)? 2 What is -3 + 11 + -115 + 71? -36 What is the value of -1 - (-34 + 23 - (2 - 2))? 10 What is -3 + (0 - 8) - (-2 + 3 - 12 - 34)? 34 What is -6 + 11 - (-16 + 30 + -1 + (-10 - 1))? 3 What is 21 + -30 + (-24 - -3)? -30 Evaluate 31 + 19 + -39 + -9 - -16. 18 12 + (-20 - (21 - (-10 - -30))) - (-105 - 0) 96 -9 + 8 + 46 - (-6 - -34) 17 (-29 - (-57 + 62)) + (0 - (0 + 9)) -43 Evaluate -18 - (8 + 7 + (50 - 116)). 33 Evaluate (2 - (60 - -2)) + -103 + 125. -38 Calculate (-104 - (99 + -171)) + -44. -76 Calculate -7 + -6 + 2 + 27 + -17 + 15. 14 What is the value of (4 - 5 - 2) + (-8 - (22 - -1))? -34 1 + 34 + (-49 - (-129 - -70)) 45 What is the value of -53 - -4 - (176 - 117) - -34? -74 Calculate (36 - 57 - 10 - -72) + -63. -22 Evaluate -77 - (66 + -63 - (-5 + 17)). -68 62 + -5 - ((47 - 51) + 4) 57 What is (-81 - (-32 + 33)) + (-12 + 6 - (4 + -2))? -90 What is the value of -8 - ((7 - (-4 + 19) - (-4 - 34)) + 1)? -39 44 + -2 - ((-4 - -18) + -9 + -4) 41 Evaluate (40 - (-68 - -35)) + -2 - 19. 52 Calculate 13 + 1 + (-18 - -17 - 19) + 34. 28 What is (-1 - 88) + (-3533 - -3534)? -88 What is -100 - (103 - 12) - -86? -105 Evaluate -27 + 23 + 3 + -34. -35 What is 1 + 18 + (7 + -1 + -10 - 4)? 11 What is the value of -75 - ((91 - 5) + -186)? 25 What is -2 + 1 + 31 + -6 + (-7 + 17 - 7)? 27 What is 14 - ((12 - 13) + -8 + 5)? 18 Calculate -44 + 70 + (-31 - -8 - -7) + -121. -111 Calculate 1 + -17 + (23 + -24 + 0 - 19). -36 Evaluate 0 + -27 + -66 + 12 + 57. -24 Calculate (28 - 54) + 4 + 2 + 0. -20 -1 + (380 + -332 - (-5 + 141)) -89 What is 32 + 22 + 0 + -59? -5 Calculate -4 + 24 - (-28 + 25 + 12). 11 Evaluate -1 + -6 + (8 + 55 + (-1 - 7) - 15). 33 106 - (-41 - (-34 - (8 + 9))) 96 -262 + 270 + (-5 - -1) + -40 -36 What is (75 - -3) + -49 + -29? 0 4 + (14 - 10) - (3 + -2 + (1 - 23)) 29 What is -194 - -93 - (3 - 115)? 11 What is -117 - (58 + (-28 - 66))? -81 What is (-2 + -1 - -1) + (104 + -52 - 48) + 63? 65 What is the value of -24 + 18 + -15 + 54 + -8? 25 What is -31 - -10 - (158 + -144)? -35 (-77 + 101 - (4 + (-2 - -1))) + -15 - -9 15 14 - (-1 + -3) - (41 + -40 - (-6 - -1)) 12 Calculate (270 + -288 - (1 + -33)) + 0 + -2 + -5. 7 Evaluate -24 + 33 + (2 - -8). 19 Calculate (-46 - (4 - 9)) + 62 + -41. -20 Evaluate -1 - 0 - 8 - (9 + -41 + 21 + -1). 3 Calculate 1 + -118 + (528 - 186 - 299). -74 Calculate -1 - (-1 + -5) - (-290 - -280). 15 What is (61 - 5) + -1217 + 1188? 27 What is 0 - (-4 - (15 + (1 + 8 - 8)))? 20 Evaluate 10 + 9 + 37 + (-47 - -25). 34 Calculate (130 - 149) + -3 + -3 - (2 + -131). 104 What is the value of 12 + 18 + (-27 - -10) - (-26 + 0)? 39 Evaluate -12 - ((-37 - -18) + 18) - (-4 + 1) - 14. -22 What is the value of 46 + 1 + -14 + (-130 - -151) + -7? 47 What is the value of -85 - ((-3 - 44) + -2)? -36 Evaluate 0 + -1 + -2526 + 2567. 40 What is 138 + (-79 + 115 - 149)? 25 -34 + -8 - (-145 + 72) 31 ((43 - -11) + -24 - 39) + 68 59 Evaluate 1 + -20 + -13 + 103 + -25. 46 What is 5 + (-3 - 3) + (43 - (155 - 30))? -83 What is the value of 24 + 20 + (37 - 57)? 24 What is the value of 10 - (18 + 5 + -19) - (2 + (-4 - -51))? -43 Evaluate 5 - (((-230 - -241) + 0 + -18 - 2) + -81). 95 Evaluate (-41 - (59 + -122)) + (71 - 9). 84 Calculate (48 - (-48 - -3)) + -40. 53 Calculate 132 - 173 - (-15 - 33). 7 Evaluate (-1 - -19) + 4355 + -4333. 40 Evaluate -2 + 0 + 34 + -16 + (-2 - -9). 23 Calculate (26 - (-10 - -13)) + -33. -10 Evaluate (0 - -1) + 2 + (-409 - -403 - -117). 114 Evaluate 7 + 4 + (10 - 18) + (-122 - (31 + -31)). -119 What is the value of 85 - (-82 + 143 + 80)? -56 (1 - (-2 - -2)) + -9 - (4300 - 4295) - 124 -137 What is the value of 75 + -31 + -14 + -25 + -86? -81 What is the value of (1 - (-24 - -5)) + 13 + 5? 38 What is -5 + 1 + (17 + 1 - (-311 + 309))? 16 Evaluate (216 - 221 - ((-3 - 0) + 11 + -9)) + 4. 0 What is the value of (-154 - -136) + (1 + 1 - (3 + 0 - -5))? -24 (-3 - -41 - (85 + -92)) + 2 + -9 + 12 50 Calculate 10 + 2 + 20 + (-25 - -23). 30 What is 33 + -51 + 12 - -22? 16 What is (121 - 3) + (-14 - (26 + (-53 - -9)))? 122 4 + (17 + -3 + 4 - 18) 4 What is -10 + (21 - 11) - (2 - -6 - 3 - -6)? -11 What is the value of (2 - 2 - 29 - -2) + 902 + -890? -15 What is the value of 41 + 20 + (-39 - (8 + (-9 - 4)))? 27 What is 10 - (62 - (-2 + 1) - (-20 + (-39 - -62)))? -50 What is the value of (-10 - -37) + -2 + (4 - (-22 + 6))? 45 What is the value of 29 - 76 - -17 - 37 - (-26 - -3)? -44 Evaluate -3 + (-7 - (-14 + 18)) + 26 + 5. 17 Evaluate (28 - -15) + (84 - 91) + -1 + 1. 36 Evaluate (-8 + -2 - 1) + (59 - (11 + -3 + -7)). 47 What is the value of (-131 - -41 - -71) + -25? -44 7 + (5 - 4 - -2) - (5 - (-24 + -51)) -70 Evaluate (-1 - -14) + 55 + -23 + -41 + 57. 61 Calculate (27 - (29 + 14)) + 30 + 27. 41 Calculate 5 + -18 + 14 - 44 - 45. -88 What is the value of -6 + 8 + 0 + 2 + -27 + (19 - -5)? 1 Calculate (0 - 1 - (18 + -9 + 40)) + (-4 - -4). -50 Evaluate 3 + -155 - (110 + -91 + -56). -115 What is the value of 96 + -4 - (-324 + 330)? 86 What is (-1 + 0 - -8) + (26 - (26 + -30 + -4))? 41 70 + -1 + 5445 + -5425 89 Calculate (10 - 22) + 93 - 43. 38 Evaluate (-87 - 0 - (-5 + 0 + 6)) + -130 + 121. -97 What is 34 - (-42 + 23) - 70? -17 What is the value of (-16 - (21 - 44)) + (0 - -4) + -16 + 2? -3 1 - (46 - (16 + (-21 - -7) - (0 - -11))) -54 Calculate -45 + 8 + (-12 - 13 - -12 - -21). -29 What is 30 - (0 + 3 + -15 - (-43 + 37 - 4))? 32 -11 + -30 + -8 + (12 - 1) -38 What is (-10 - 0) + 74 + -45 + -46? -27 What is -30 + (12 - 3 - (-18 - -21 - 5))? -19 Evaluate -7 + (17 - (-2 - -16)) - (1 + 34). -39 Calculate (173 - 197) + (20 - (3 + 1)). -8 What is -25 + -70 + 43 - -48? -4 Evaluate 18 - 0 - (0 - (-50 - -16)) - (-116 + -2). 102 Evaluate -16 + (67 - 19) - 59. -27 Calculate (-1651 - -1644) + 3 + (-2 - 0 - -5). -1 (-18 + 33 + 1 - 15 - 4) + 61 58 Evaluate (7 - (1 + 2)) + -48 - ((-81 - -50) + 36). -49 What is (-301 - -303) + 42 + 82 + -1? 125 What is -18 + 1 - (-65 - -50 - 6)? 4 What is (215 - 309) + 130 + -10? 26 What is (36 + -85 - 14) + 64? 1 What is the value of 60 - (-31 + 31 - -71)? -11 Calculate -33 + (1 + 7 + 5 - 37 - -10). -47 Calculate -8 + (7 + -1 - (72 + (-1 - 8))). -65 What is the value of (-13 - (13 - 49 - -30)) + 2 + 13? 8 (2 + 32 + -2 - (-2153 - -2138)) + (-7 - -2) 42 Calculate (3 - 23 - (6 - 11)) + 6 - (-47 - 6). 44 What is the value of 22 + (-1 - -3) + (66 - (-19 - -75))? 34 What is the value of (153 - 14 - 15 - 18) + (-1 - -16)? 121 What is (-10 - 77 - -84) + 130? 127 -2 + 44 + (350 - 385) 7 What is -8 - (-25 + 0 - (-16 - -2))? 3 Evaluate -72 + 79 - (75 + -13 + -6). -49 (-4 + 5 - (-26 + -21 + -67)) + -19 96 Evaluate -9 - (-20 + -17) - (71 - -21). -64 Evaluate 13 - (2 - (-3 + 1 + 2) - 15). 26 22 + 75 - (25 - -22) 50 1 + -16 + 11 + -96 + (-38 - -68) -70 What is -3 - -23 - (-5 + (-2 - (8 - (-6 + 29))))? 12 What is the value of -17 + (-27 + 15 + 13 - -32)? 16 What is the value of (-32 - -11) + 0 - (-64 - (-8 - -21))? 56 Evaluate -9 + 2 + (-55 - (9 - 20) - (5 - -3)). -59 What is the value of 53 - (4 + 6 - (-3 + 14)) - (6 + -5)? 53 What is the value of 4 + -7 + (6 + -3 - (3 + -10) - -48)? 55 Calculate (-56 - (50 - 64)) + -78 + (0 + 0 - -8). -112 Calculate 7 + -34 + -7 - (4 + -5 + -11 - -10). -32 What is the value of -99 - (-29 + -1 + 20 + -14)? -75 Evaluate -290 + 103 + 21 + 9. -157 -14 - (-28 - -13) - (4 - 0) - (-8 - -55) -50 What is the value of (-60 - (-14 - -15)) + -25 - 2? -88 (-6 - -2 - (11 + -25 - -1)) + (52 - -8) 69 What is the value of (14 - (32 - 6)) + (-23 - -20)? -15 What is the value of -8 + -22 + (38 - 15) + 2 + (0 - -48)? 43 What is the value of (1 - (1 + -3)) + -20 + 313 + -350? -54 (-126 - -15) + 70 + 3 -38 -10 - (-9 - 24 - -3) - 18 2 What is 0 + 19 - (1244 + -1266)? 41 What is the value of 18 - -29 - (-44 - -90)? 1 Evaluate 21 + (-52 - (15 + 2)) + 8. -40 What is the value of (-75 + 44 - 43) + -4? -78 Evaluate -324 + 274 - (-1 - 34). -15 What is -66 + (-4 - (1 + 1) - (-99 - (101 + -201)))? -73 -22 + (4 - (-18 - 12)) + -8 4 (156 - 197) + (33 - 1) -9 Evaluate (-5 - -13) + (-1 - -9) - -1. 17 Calculat
{ "pile_set_name": "DM Mathematics" }
1 + 31 = -2*s for s. -5 Solve -4*r - 6*j + 5 = -j, -2*j = 2*r - 2 for r. 0 Solve -4*o - 5*a = 7, 3*o + 2*a + 3 = -4 for o. -3 Solve 5*i - 45 = 4*d, 5*d + 4*i - 36 = 3*d for d. 0 Solve -5*m - 14 = -i, 4*m - 18*i + 16 = -22*i for m. -3 Solve -5*w = -4*l - 27, -25*w = -22*w + 3*l for w. 3 Solve -2*g = -4*a, 20 = 8*g - 4*g + 2*a for g. 4 Solve 4*a - 3*d = 17, a + 60 = 5*d + 77 for a. 2 Solve -4*s = 3*g, 0 = -0*g + 2*g + 5*s + 7 for g. 4 Solve 5*t + 4*x - 41 = 0, 16*x + 1 = t + 15*x for t. 5 Solve -4*t - 4*o = -4, 4*t = -0*t - 3*o + 6 for t. 3 Solve 4*z = 2*s - 20, 3*z - 2 = s + 5*z for s. 4 Solve -g = -4*g + f - 12, 0 = -4*g - 3*f - 29 for g. -5 Solve -5*r - 5*s = 30, 3*r - 27 + 38 = 4*s for r. -5 Solve 3*i - 2*f + 17 = 0, 1 = -2*i - 2*f + 3 for i. -3 Solve 23 = 2*m - 5*p, 4*p + 20 = -5*m - 5 for m. -1 Solve -5*d - 30 = -5*i, 5*d + 2 = -3 for i. 5 Solve y + 13 = 3*n, -n = 2*n + 3*y + 3 for n. 3 Solve 0 = 4*y + 2*s - 14, -4*s = -5*y - 5 - 10 for y. 1 Solve -7*b + 8*b - 3*d - 1 = 0, 0 = 4*b - 4*d + 4 for b. -2 Solve -24 = 3*q + 4*m, 5*q + 5*m = 4*m - 23 for q. -4 Solve -5*h - 5*n - 40 = 0, -2 = -2*h + 3*n + 7 for h. -3 Solve -1 = p - 3*a, 3*p = -11*a + 9*a - 3 for p. -1 Solve d = 29*r - 25*r - 17, 5*d - 7 = -3*r for r. 4 Solve 1 = 5*a - 3*v, 3*a + 15*v - 17*v - 1 = 0 for a. -1 Solve 0 = 3*d + 15, 3*d = -5*u - 30 - 5 for u. -4 Solve 2*z = -2*f - 2 + 4, 5*z + 3*f - 3 = 0 for z. 0 Solve 3*s + 23 - 2 = -5*r, 4 = -2*s for r. -3 Solve -2*n - 3*x = -8, -n - 2*x = -4*n - 14 for n. -2 Solve 0 = -5*d + 5*i + 45, 28*d - 3*i + 13 = 33*d for d. 5 Solve -2*g - 2*p - 19 + 25 = 0, 0 = -5*g - 4*p + 16 for g. 4 Solve 5*i + 2*q = -16, -3*q + 7*q = 8 for i. -4 Solve -3 = -4*u + 3*p, 3*u + u - 4 = 4*p for u. 0 Solve v - 4*d - 3 = 10, d - 5 = 3*v for v. -3 Solve -5 = -l - 3*q + q, -5*l = -3*q + 27 for l. -3 Solve -2*v + 14 = -2*p, -15 = 2*p + p - v for p. -4 Solve 7*t = -26*a + 23*a + 14, -a = 5*t - 10 for t. 2 Solve -5*y + 4*c + 13 = 0, 4*y - 5 = -c + 6*c for y. 5 Solve -4*r - 1 = 4*n - 17, -5*r - 3*n + 12 = 0 for r. 0 Solve -272 = -2*v + 2*c - 252, 2*c = -12 for v. 4 Solve 5*h - z + 3 = 4*h, -h = 4*z - 17 for h. 1 Solve 3*w - 2*a = 2*a - 13, w - 2*a = -5 for w. -3 Solve -25 = 5*n, -244 = u + 4*n - 219 for u. -5 Solve -3*i + 13 = 5*y, -3*i + 3*y + 8 - 11 = 0 for i. 1 Solve -2*m + 8 - 4 = 0, -4*m = 4*v - 28 for v. 5 Solve -k + 9 = 4*u, -17*u + 16*u = -2*k + 9 for u. 1 Solve -2*n + 5*n - x + 5 = 0, 0 = -4*x - 4 for n. -2 Solve -6*s + f + 3 = -5*s, -s + 4*f + 15 = 0 for s. -1 Solve -111*a + 112*a = 4*d + 17, 3*d + 18 = -a for d. -5 Solve -4*h + 5*r + 4 = 0, -5*h - 12 = r + 12 for h. -4 Solve o - 4*g = -21, -o + 3*g = 3*o + 19 for o. -1 Solve 5 = 4*g - 7, -3*g - 6 = -5*z for z. 3 Solve -2*p - 11*x + 14*x = -5, -5*x - 23 = 4*p for p. -2 Solve -2*a - 26 = -n - 24, -4 = -n for a. 1 Solve -3*l = 2*l + q - 25, 2*q = l - 5 for l. 5 Solve -4*r = 2*a + 4 + 6, 0 = -r + 3*a - 20 for r. -5 Solve 7*z = 4*z - 5*y - 5, 1 = z + y for z. 5 Solve -4*i = -19*q + 24*q - 13, 0 = -2*i + 2*q - 16 for i. -3 Solve 0 = 5*z + 4*w + 71 - 50, 5*w + 16 = 4*z for z. -1 Solve x + 3*k + 25 = 0, 19 - 48 = 2*x + 3*k for x. -4 Solve 2*b + t + 3*t - 22 = 0, 0 = -11*b - 3*t + 64 for b. 5 Solve -5*n = -4*n + 2*r - 7, -3*n - 24 = -3*r for n. -3 Solve -4*s + 6 = -3*b, s = 4*b + b - 7 for b. 2 Solve -4*w = -3*p + 13, -7 = 68*w - 64*w - p for w. -1 Solve -2*m - 5*l - 8 = 2*m, 0 = 3*m - 2*l + 6 for m. -2 Solve -2 = -2*m - 3*z - 3, 5*z - 30 = 3*m for m. -5 Solve 5*u + 25 = 0, -36*j + 5*u = -31*j - 35 for j. 2 Solve -4*c = -3*h - 11, -25*c = -2*h - 28*c - 13 for h. -5 Solve 2 = 5*u + y, -3*u + 14*y - 10*y = 8 for u. 0 Solve -4*p = 3*m - 8, 0 = -4*p - 0*m - m + 16 for p. 5 Solve -3*s = 5*h + 21, -25*s + 6 = -22*s - 4*h for s. -2 Solve -5*m + 33 = -2*x, 2*x - m + 6*m - 17 = 0 for x. -4 Solve -4*t = -3*u + 19, -u + 8 + 0 = -3*t for u. 5 Solve -5*d - 9 = 4*b + 28, b + 5*d = -28 for b. -3 Solve 0 = -3*h - 0 + 18, -4*s + 2*h + 8 = 0 for s. 5 Solve -4*z + 6*t - 8*t = 0, 3*t = -3*z for z. 0 Solve -2*i + 3*w + 4 = 0, -16*i = -20*i - 6*w - 16 for i. -1 Solve 5*m + 3*v + 17 = 0, m - 3*v + 2 = -5*v for m. -4 Solve 2*p + 13 = -2*v + 3, 3*v + 14 = -2*p for p. -1 Solve -v + 22 = -4*w, 2*v + 2*v + 47 = -11*w for w. -5 Solve -2*c + 3*c = l + 4, 2*l = 5*c - 20 for l. 0 Solve -5*m = 5*j - 5, 4*j + 7 = 3*j - 3*m for j. 5 Solve -3*v = 3*y - 3, 0 = -2*v + 4*y - y + 17 for v. 4 Solve -8 = 2*i, 862*w - 863*w - 3 = i for w. 1 Solve 0 = 5*l + 2*y + 4, -y - 7 = 4*l - 2 for l. -2 Solve 3*a - 4*f = 121 - 114, -2*f + 2 = 4*a for a. 1 Solve -3*b = -5*v - 24, 2*b - 2*v = 3*v + 21 for b. 3 Solve 7*l + 2*o + 1 = 2*l, 3*l + 3*o - 3 = 0 for l. -1 Solve t + 5*d = -9, -2*t - 9 = t - 3*d for t. -4 Solve 57*w - 59*w + 5*a - 19 = 0, -2*w + 11 = a for w. 3 Solve -6*a = -5*h - 15, 26*a = 25*a + h + 3 for a. 0 Solve 0 = -3*m - 5*t + 47, 2*m - 38 = 9*t - 14*t for m. 9 Solve -2*i + 14 = -4*g, 2*g - 16 = 4*g - 4*i for g. -2 Solve 0*v - 2*o - 4 = 5*v, -3*v + 3*o = 15 for v. -2 Solve 0*z + 5 = 2*w + 3*z, -z - 5 = -w for w. 4 Solve -3*y - r - 10 = 1, 5*r = -3*y - 7 for y. -4 Solve 5*q - 20 = q + 3*r, r + 25 = 5*q for q. 5 Solve -6 = -2*k, -2*w + 575*k - 22 = 571*k for w. -5 Solve -5*r + 17 = -3*m + 23, 0 = m - 4*r - 9 for m. -3 Solve 2*y - 4*c = 8, 0 = 3*y + 3*c - 25 + 13 for y. 4 Solve -4*w - 3*p = 19, 12*w = 7*w - 3*p - 23 for w. -4 Solve 0 = -3*d - 4*n + 16, -3*d + 2*n = 7*n - 17 for d. 4 Solve -6 = -4*p - 3*v, -2*p - 5*v + 18 = -v for p. -3 Solve 5*s = -3*l - 6, 2 = 3*s + 11 for l. 3 Solve 13 = -2*k - 5*q, -4*k = 6*q - 3*q + 19 for k. -4 Solve 3*r + 2*r - 21 = -2*z, -12 = -5*r + z for r. 3 Solve 15 = -2*g + 4*l - 1, 11 = -4*g + l for g. -2 Solve 0 = 4*g + 5*d - 13, 3*g - 3*d - 1 - 2 = 0 for g. 2 Solve -j + 118*q = 121*q - 6, -q + 18 = -5*j for j. -3 Solve -3*c = -o - 7, -o + 1 = 2*c + 3*c for c. 1 Solve -3*t - 2*p - 17 = 0, 0 = t - 2*p - 3*p - 17 for t. -3 Solve -2*b = 5*u + 15, u - 4*b + 6*b - 5 = 0 for u. -5 Solve 4 = -2*u - 3*z, z = -u - 0*u - 2 for u. -2 Solve -4*f + t + 15 = 0, -f - 33*t = -28*t + 12 for f. 3 Solve 2*n = 4*n - 4*p + 4, 0 = -3*n + 2*p + 6 for n. 4 Solve 2*x = 4*p - 8*p, 5*p - 4*x = 0 for p. 0 Solve 6*v - v + 3*h = 17, -4*h + 11 = -5*v for v. 1 Solve 3*h + 24 = 3*b, -3*b + b + 3*h = -21 for b. 3 Solve 2*j - 2*o - o = -23, -4*o = -4*j - 36 for j. -4 Solve -5*n + h + 22 - 7 = 0, -2*n - 5*h = 21 for n. 2 Solve 52*n - 47*n = -k + 28, -4*k = -5*n + 13 for n. 5 Solve -2*q + 6 = -4*b, -2*q = 10*b - 6*b + 10 for b. -2 Solve -3*f = -3*w - 18, f = -2*w - 0*f - 9 for w. -5 Solve -22 = 3*j - q, -4*j - 3*q - 21 - 4 = 0 for j. -7 Solve 6 - 10 = -4*v, p - 4*v + 1 = 0 for p. 3 Solve -7 = -2*c - 0*j - j, -2*j = -c - 4 for c. 2 Solve 0 = -j + 5, j = 26*p - 23*p + 5 for p. 0 Solve -22 = c - 9*f + 13*f, 2*f + 18 = -4*c for c. -2 Solve -3*r - 16 = 4*o - 4*r, 0 = -2*o - 2*r - 8 for o. -4 Solve 7*y - 2*i + 16 = 5*y, 4*i = -2*y + 14 for y. -3 Solve 0 = -f + c + 4, 0 = -2*f + 7*c - 4*c + 8 for f. 4 Solve 0*j + 4 = 4*v + j, 0 = -v - 5*j + 20 for v. 0 Solve -2*m + 11 - 19 = -y, -m = -2*y + 1 for m. -5 Solve -g + 6*k = 5*k - 1, 0 = -4*g - 3*k - 31 for g. -4 Solve m - y - 11 = 3*y, -2*m - 26 = 4*y for m. -5 Solve -5*n = -4*h + 16, -4*n = 2*h + 1 + 17 for h. -1 Solve -18*w + 17*w + 5*i = -12, 3 = -i for w. -3 Solve -2*b + 28 = -5*l + 24, -3*b = 3*l + 15 for b. -3 Solve -o + 3*u - 12 = 0, -5*o + 6 = -2*o + 5*u for o. -3 Solve 4*q = -4*k - 20, -5*k = -5*q + q + 25 for k. -5 Solve -5*j = 2*d - 23, -10 = -4*j + 10 for d. -1 Solve 0*i + m - 6 = -2*i, -4*i = 3*m - 10 for i. 4 Solve 0 = 4*y + 5*d - 12, 4*d = 3*y - 4*y + 3 for y. 3 Solve -5*c + 44 = 3*x, 4*c + 27 = 2*x + 7*c for x. 3 Solve -2*h + 5*h - 3*w = 0, -5*h = w - 6 for h. 1 Solve -b + 10 = 3*r, b = -5*r + 3*r + 6 for b. -2 Solve -3*p = 5*c + 10, p + 4*c + 2 = c for p. -5 Solve 0 = n - j - 3, 3*n = -2*j + 155 - 146 for n. 3 Solve 4*y - u - 19 = 0, -5*u = y + 3*y - 1 for y. 4 Solve d + 7 = -5*u, 0*u - 4 = 2*u for d. 3 Solve -5*o = 4*c - 21, -4*c = -c - 12 for o. 1 Solve 0*d + 3*d = -15, 4*h + 2*d + 26 = 0 for h. -4 Solve -4*t + 2*s = -2, -6*s - 5 = -s for t. 0 Solve -3*v - 3*z = -3, 5*v = -0*v - z - 15 for v. -4 Solve -3*b = h + 11, 9*b - h + 1 = 8*b for b. -3 Solve -2*q - 4*x = 0, 4*q - 6*q - 2*x - 2 = 0 for q. -2 Sol
{ "pile_set_name": "DM Mathematics" }
a) g (b) -1 (c) f b Let b = 9.5 - 0.5. Let d = 1219 - 1239. Let r be 44/d - (-32)/16. What is the closest to r in 0, b, 3? 0 Let i be 273/546 - 2/(152/46). What is the closest to -2 in 6, -2, 0.6, i? -2 Let c be 12/30*7/2. Let q = -8882 - -8883. Let d be 1/(-4) + 30/(-8). What is the nearest to q in c, d, 0.4? c Let i = 2071.89 + -2072. What is the nearest to -1 in 2/7, -0.2, i? -0.2 Let d = -9004 + 9009. What is the closest to -1/2 in 4/7, -56/11, d? 4/7 Let s be ((-28)/(-21) + -4)/(2/3). Let f be (-6)/(-24)*s/(-3). Let w = -8 - -8. Which is the nearest to 0.22? (a) 4 (b) w (c) f c Let s = -4.7 + 2.9. Let n = -1.6 - s. Let l = 26.4 + -26. Which is the closest to 0.1? (a) l (b) -1.3 (c) n c Let o = 14480/7 - 2072. Let u = 278/77 + o. Which is the closest to -5/6? (a) u (b) 0.1 (c) -2 b Let w be (2/16)/(104 - 105). Let f = -4.1 - -0.1. What is the closest to 1 in w, 0, f, -2/7? 0 Let y = 18065/2 - 9032. Which is the nearest to -0.03? (a) -3/4 (b) 1 (c) y (d) -12 c Let c = -218/175 - 1/25. Let u = 47/42 + c. What is the closest to 2/3 in 2/11, u, -0.07? 2/11 Let l = 37.04 + -42.04. What is the closest to l in -1/2, 0.5, -0.1? -1/2 Let x be 7 + 234/(-30) + (-48)/(-10). Let q be (x + 0/1)/(-2*7). What is the nearest to -2 in -25, q, 2/3? q Let o be (-44)/(-10) - 4/10. Suppose -3*x = -5*t - 15, 0 = o*x - 5*t + t - 12. Let l = 3140/4683 + -6/1561. Which is the closest to x? (a) -2/9 (b) 2 (c) l a Let i = 1793 + -1783. Which is the nearest to 0.2? (a) i (b) -0.1 (c) 0.01 (d) 4 c Let n = -73817.3 - -73817. Let j = -10011/26 - -385. What is the nearest to j in -0.5, 0.4, n? n Let c(g) = -5*g + 7. Let q be c(-2). Suppose 0 = -b - h - 6 - 2, 0 = b - 4*h - q. Let u = 2.4 - 2. What is the nearest to -3 in u, b, 1? b Let z = 334 - 330. What is the closest to z in 12/11, 2, -4? 2 Let x = -0.1845 + 0.2845. What is the nearest to 3/5 in 20, x, -2/3, -1/2? x Let w = -12.4 - -96.4. Let h = 46 - w. Let s = 37.5 + h. What is the closest to 0.1 in s, -5, 1/9? 1/9 Let x be (0 + 2 + -6)/((5 + -4)*-2). Which is the closest to 1? (a) -0.36 (b) x (c) 5 b Let n = 16.54 - -0.46. Let i = n - 16.82. Let q = -0.08 + i. Which is the nearest to q? (a) 1/9 (b) 3 (c) 2/15 a Let f = -1.1 - 2.9. Let r = f + 3.7. Let k be 5*1*2310/3850. Which is the nearest to -1/3? (a) k (b) 0.01 (c) r c Let n = -330.1 + 330.2. Which is the closest to n? (a) 0.1 (b) -1/6 (c) 3 (d) -4 a Let p be ((-12)/(-90) - 0)/((-4)/10). What is the closest to p in 4/3, -2/3, -1/2, -0.35? -0.35 Let l be 161/(-385) + (-4)/22. Let n = 5.121 - 0.121. Let o = -0.38 + 1.38. What is the closest to l in o, -1, n? -1 Let n = 859.5 - 859. Let f = 9 + -9.2. What is the closest to f in n, -2/7, 4? -2/7 Let h = 0.4 + -0.3. Let d = 25542 + -25538. Which is the closest to h? (a) -2 (b) d (c) -6 a Let s = 0.06464 - 0.56464. Which is the closest to 0? (a) -4 (b) 2/27 (c) s (d) -1 b Let w = 32 + -18. Let a be (4 - 0) + 1 - 2. Let s = 1145.84 - 1140.84. What is the nearest to 1 in w, a, s? a Let w = -2541.6 + 2542. What is the nearest to 2 in -1.86, -4, w? w Let u be 96/(-20) - (-1)/(-5). Let f be ((-34)/168 - 41/492)/(4/6). Which is the closest to 0.1? (a) -1/45 (b) u (c) f (d) 3 a Let w = -2811.8 - -2812. Which is the nearest to -1.1? (a) -1/2 (b) 0 (c) w (d) -2/3 d Suppose 0*a = 15*a - 120. Suppose 10 = -a*f + 18*f. What is the closest to f in 68, -0.5, 1/5? 1/5 Let k(j) = -j**3 + 3*j**2 + 4*j - 4. Suppose -13*i = -18*i - 90. Let m = 22 + i. Let v be k(m). What is the nearest to -5 in v, 1/8, 0.1? v Let x = -1.8 - 3.29. Let t = -5.09 - x. Let v be 2/(-9) + 32/63. What is the closest to 2/7 in t, v, -0.06? v Let y = -6/73 - 177/511. Suppose -41 = -2*x - 3*z - 32, -34 = 3*x - 5*z. Which is the closest to x? (a) 3 (b) y (c) 0.2 b Let v = 205/618 + 1/618. Which is the nearest to v? (a) 6/11 (b) -0.4 (c) -5 (d) -6 a Suppose 0 = -9*p - 6*p - 70 + 10. Which is the nearest to p? (a) -2 (b) 1 (c) -1 (d) -2/25 a Let o = -707 + 712. Let d = 0.08 + 0.02. Which is the closest to d? (a) -0.4 (b) o (c) -0.6 a Let w(q) = -q**2 - 9*q - 18. Let m be w(-3). Suppose 47 = 3*s - 97. Let l be 6/(-4) - 22*(-4)/s. What is the nearest to l in -2/5, -2, m? m Let v = -2.2 + 2. Let g be 61/1708 + 7 + (-615)/84. Which is the closest to v? (a) -1 (b) -2/9 (c) 4 (d) g b Let v = 0.2 + -0.2. Let a = v - 0. Let q = -16957/9 - -16963/9. What is the closest to a in 1/4, q, -0.3? 1/4 Let y = 244.4 - 244.6. What is the closest to y in 3, -4, 1, -1/98? -1/98 Let h be 1*-16 + (-2 - (-2 + 2)). Let o be h*(-3 - (-16)/3) + -2. Let v = 48 + o. Which is the closest to -0.1? (a) -2/7 (b) v (c) -0.2 c Let w = 2.5 + -3. Let o be (-595)/1155 + 8/44. Let h = -1049 + 1050. Which is the closest to 13? (a) o (b) h (c) w b Let j = 2707 + -2710. Which is the nearest to 0.095? (a) -2 (b) j (c) -0.1 c Let i = 48.83 + -47.83. Which is the closest to 3.3? (a) i (b) -0.2 (c) 25 (d) 0 a Let y(d) = -d**3 + 13*d**2 + 2*d - 31. Let k be y(13). Let m be 3/6 - 8/16. Let h = -9 - -5. Which is the closest to m? (a) h (b) 0.01 (c) k b Let r = 1419 - 1415. What is the closest to -0.1 in 0.1, -2/3, 0.2, r? 0.1 Let n be 1/(-4) + (-125)/(-20). Suppose n = -14*w + 12*w. Let g = -0.27 - -0.17. Which is the closest to g? (a) 2/7 (b) -1/8 (c) w b Let j(k) = k - 5. Let y be j(6). Let p be (4 + (-9)/6)/(1500/400). Let l = 0.47 - 0.07. What is the closest to -2 in p, l, y? l Let w = 0.026 - 1.626. What is the nearest to -15 in 0.4, -5, w? -5 Let n = -3 - -4. Let k = 22 - 21. Let d = -2/7713 - -7721/30852. What is the nearest to k in -2/3, n, d? n Let i = -330 + 328.4. Let v = i + 1.6. What is the nearest to -2 in 1/4, v, 3? v Suppose 6*o - 2*o = 4. Let f = -4.840721 + -0.159279. Which is the nearest to 3? (a) o (b) f (c) 0 a Let j = 1313 + -1307. Let p = -0.38 - -0.13. Let h = p - 0.05. What is the nearest to -2/3 in j, h, 2/11? h Let q = 42 + -42.034. Let b = -0.234 - q. Let i = -9/10 - -7/5. What is the nearest to -2 in i, b, 1? b Let t = 109.66 - -6.34. What is the nearest to -2 in -5, t, 0.5? 0.5 Let i = -16051 - -16049. Which is the nearest to -8? (a) i (b) -0.02 (c) 0.2 (d) 4 a Let f = -3407.9 + 3408. What is the closest to -7 in 0.5, f, -3.8? -3.8 Let n = 11 + -7. Let t = 2.1 + -2.5. Let g be 276/(-36) - -6 - -2. Which is the nearest to g? (a) t (b) 2 (c) n a Let u = 264.5 - 251.5. Which is the nearest to -2/5? (a) 127 (b) u (c) -2/21 c Let p = 27 + -23. Let r = 0.64 + -0.14. Which is the closest to -2/5? (a) p (b) 2 (c) r (d) -3 c Let a = 401/7 + -57. Let q = -24457 - -24457.1. What is the closest to q in a, 0.5, 3? a Let r(u) = -8*u - 95. Let i = 466 + -478. Let b be r(i). What is the closest to b in 3/34, -4, 1? 1 Let z = 7.836 + -7.536. What is the nearest to -1/3 in 11, -0.5, z, 16? -0.5 Let i be 24/((5/3)/5). Let w = 520 + -447. Let a = w - i. What is the closest to a in -2, -3, 2? 2 Let o = 0.172 + -4.172. Let s = -0.4 - -0.5. Let d = 3.1 - s. Which is the closest to o? (a) -2/7 (b) -3 (c) d b Let a = -4.001 - -6.001. What is the nearest to a in -5, -0.01, 5, 2/21? 2/21 Let z = -28 - -24. Let i = -129 + 129.87. Let f = i + -0.97. What is the nearest to 0.1 in z, f, -1? f Let d = 10.7 - 11. Let x be (18/(-9))/(-7 - -2). What is the nearest to x in d, -4, 3/2? d Let v = -5.097 - -4.097. What is the closest to -0.1 in v, 2/109, 3/2? 2/109 Let k = 194 - 109.5. Let f = 4.2 + 80.8. Let q = k - f. Which is the closest to -15? (a) q (b) -2 (c) 4 b Let v = -15/47 + 447/517. Which is the closest to v? (a) -4 (b) -117 (c) 3 c Let x = 0.544 + -0.344. Suppose 0 = 5*r + 5*u - 20, -4*u + 6 = -6. What is the nearest to r in 3/4, 4, x? 3/4 Let h = -22758.6 + 22759. Which is the closest to -2/3? (a) h (b) -5 (c) -125 (d) 0.5 a Let j = -62378/5 - -12475. Which is the nearest to -2? (a) j (b) -0.4 (c) 0.144 a Let s(t) = -96*t - 2687. Let i be s(-28). Let d = -125 + 125.97. Let r = d - -0.03. Which is the nearest to i? (a) -2/3 (b) r (c) -3 b Let n be (-9)/6 - (40/(-24) - (-21)/14). Which is the nearest to -0.1? (a) -569 (b) n (c) 5 b Let i be 26 - (-21)/(-23 - -22). Which is the nearest to -39? (a) -3 (b) 0.4 (c) i (d) 0.5 a Suppose -6*x + 2*x = -2*x - 7*x. What is the closest to
{ "pile_set_name": "DM Mathematics" }
4) + 386*w - 988 + 988 + (4*w - 4*w + w)*(4 - 2 - 3). 383*w Expand (-4 + 6 + 5)*((0*u + 0*u - u)*(-5 + 0 + 3) + (0 - 9 + 2)*(-u + 5*u - u)). -133*u Expand (1 + l - 4 - 3*l)*(-9 + 106 - 46)*(-1 - 3 + 2). 204*l + 306 Expand (5 - 2 - 2)*(-221*r - 11*r - 73*r - 49*r). -354*r Expand (x - x**2 - x + (0*x + 2*x - 4*x)*(-3 + 3 + x) - 2*x**2 - 3*x + 3*x - 4*x**2 - 6*x**2 + 8*x**2)*(6*x + 6 - 2 - 3). -42*x**3 - 7*x**2 Expand (0 - 1 + 0)*(-108*u - 4 + 13 + 169*u). -61*u - 9 Expand (p - 4*p + 4*p)*(1 + 0 + 0) + 6 - 6 + 2*p + (-2*p + p + 0*p)*(8 - 9 + 20). -16*p Expand (354*k - 168 + 168)*(0*k + 2*k - k). 354*k**2 Expand (-2*i - i + 4*i)*(1 + 1 + 1) + 4 - 5*i + 4*i + 0*i. 2*i + 4 Expand (1 + 8*q - 6*q + 17*q**4 - 2)*(-6 + 6 + 47*q). 799*q**5 + 94*q**2 - 47*q Expand (-p - 2*p + 2*p)*(0 + 0 - 1 + (-2 - 3 + 4)*(-3 + 4 - 3))*(295 - 56 - 11). -228*p Expand (-1 - 1 + 3)*(-20*s + 4*s - 6*s) - s + s - 2*s + (2*s - 4*s + 0*s)*(1 + 0 + 1) - 6*s + 3*s + 2*s + (2 + 2 + 0)*(-4 + 4 + 2*s). -21*s Expand (311 + 16*h - 311)*(5 - 4 - 2). -16*h Expand (0*q + 5*q - 3*q)*(130*q - 321*q + 5 + 119*q). -144*q**2 + 10*q Expand (4 - 4 - 4)*(9*y - 4*y + 3*y). -32*y Expand (2*b - 4*b + 0*b)*(957*b**3 + 77833 - 77833). -1914*b**4 Expand ((w**4 + w - w)*(4 - 1 - 4) - 2*w**4 + w**4 + 3*w**4)*(5*w - 9 + 12 + 3*w). 8*w**5 + 3*w**4 Expand (r**2 - r**2 - 2*r**2)*(416*r + 9911 - 9911). -832*r**3 Expand (-4*k + 3*k - 7 + 1)*(3*k - 3*k - 2*k)*(-3 + 8 + 3). 16*k**2 + 96*k Expand (-1 - 2 + 4)*(-4*i + 4*i - i**2) + ((1 + 1 + 0)*(-i + 0 + 0) - 2*i - 3*i + 3*i)*(2 - 2 - 5)*(-189 + 5*i + 189). 99*i**2 Expand (-3 - 3 + 12)*((-4 + 0 + 3)*(-3*u + u + 0*u) - 5*u - 8 + 8 + 2*u + 4*u + 4*u). 42*u Expand (-6*m + 4*m - 3*m)*((-4 + 6 + 0)*(-1 - 4 + 3) + 5 - 16 - 71). 430*m Expand z - z + z**2 - 2*z**2 - 4*z**2 + 0*z**2 + 5 + 2*z**2 - 5 + (-4*z**2 + z**2 + 5*z**2)*(0 - 1 - 1) - 2 + 0 - 2*z**2 + 2*z + 1. -9*z**2 + 2*z - 1 Expand (-2 + 2 - 3*p)*(0*p - 3*p + p) + 127*p**2 + 248*p**2 + 218*p**2 - 106*p**2. 493*p**2 Expand (0 - 5 - 6)*(21*r - 18*r + 8*r). -121*r Expand -2*y - 6*y - 5*y + 2*y**3 - 2*y + 2*y - y**3 + (3 + 0 - 4)*(2*y**3 - 2*y**3 - 2*y**3) - 12 + 12 + 10*y**3. 13*y**3 - 13*y Expand (-12 + 12 + 4*j)*(-2 + 2 - 2)*(2 - 6*j - 2 + (-1 - 3 + 2)*(-3*j + 3*j - 5*j)). -32*j**2 Expand (-4 + 3 + 0*b - b)*(-5 + 4 + 2)*(19 + 6 - 2) - b + 2*b + 0*b + (-b + 0*b + 0*b)*(2 + 2 - 6) - 3*b + b + b. -21*b - 23 Expand (0*t + 0*t + t**2)*(0*t - 2*t - 3*t) + 28*t**3 + 28*t**3 + 17*t**3. 68*t**3 Expand (-i**2 + i**2 + i**3)*(-1 - 130 - 99 - 250). -480*i**3 Expand (13*u + u + 13*u)*(15*u - u - 2*u). 324*u**2 Expand (-98*h + 25*h**2 + 98*h)*(-1 + 1 + 1 + (0 - 3 + 4)*(3 - 2 - 2) + 0 - 2 + 14). 300*h**2 Expand -704 - 2*l + 704 + 3*l**4 + (-3 + 3 - l)*(0*l + 2*l**3 + 0*l). l**4 - 2*l Expand (-f + 2*f + 0*f)*((-f + 0*f + 5*f)*(-2*f + 2*f - f**3) - 2*f**4 + 2*f**4 + f**4) + (-19*f**4 + 3*f**4 + 83*f**4)*(3*f + 2*f - 4*f). 64*f**5 Expand (-7 - 4 + 2)*(-11 - 5*s + 13 - 3*s). 72*s - 18 Expand (-f**3 + 17*f**2 - 494*f - 3 + 494*f)*(3*f + 3*f**2 - 3*f). -3*f**5 + 51*f**4 - 9*f**2 Expand 2*i**3 + 5*i**5 - 2*i**3 + (-3*i**5 + 5*i**5 - i**5)*(3 + 1 - 5) - 2*i**5 + 0*i**5 + 3*i**5 + 50*i**5 - 98*i**5 + 52*i**5. 9*i**5 Expand -3*y**3 - 2*y**3 + 3*y**3 + (-6 + 3 + 2)*(-3*y**3 + 6*y**3 - 2*y**3) + 2*y**3 - 3*y**3 + 8*y**3 + (-2*y + y - 2*y)*(-1 - 2*y**2 + 1). 10*y**3 Expand (1 + 3 - 6)*(16 + 1 + 2)*(-26*f**4 + 54*f**4 - 20*f**4). -304*f**4 Expand (x - 4*x + 6*x)*(7*x**2 + 15*x - 3*x**2 - 6*x**2)*(-3 + 0 + 6)*(1 - 3 + 3). -18*x**3 + 135*x**2 Expand (12*p - p + 8*p)*(1 + 1 - 3)*(0*p + 0*p + 2*p) + 2*p**2 - 1 + 1. -36*p**2 Expand (-2 - k + 2)*(7 - 15 - 8)*(19 - 6 + 22). 560*k Expand (-5*u**3 - 3*u**3 - 3*u**3)*(-6 - 2 + 1) + 2*u + 4*u**3 - 2*u. 81*u**3 Expand (6*j**5 + 4*j**5 - 3*j**5)*(557 + 536 - 94 - 250 + 166). 6405*j**5 Expand (5*d - 2*d - d)*(-6 + 0 + 4) - 68*d + 22*d + 37*d + 32. -13*d + 32 Expand (-1 + 0 + 4)*(324*n + 36889 - 36889). 972*n Expand (-2 - 2 - 1)*(-5 - 3 - 5)*(3*q - 2*q + 0*q) + q + 2 - 2 + (-1 - 1 + 0)*(-q + 3*q + 0*q). 62*q Expand (-i + 3*i - 4*i)*(26 - 10 - 40) + (4*i - 3*i + i)*(2 + 0 + 0) + 4*i + i - 6*i. 51*i Expand (-1 + 3 - 3)*(84*x**2 + 31*x**2 + 171*x**2). -286*x**2 Expand ((-2 + 2 - 3)*(2*l - 4*l + 3*l) + 2*l + 1 - 4 + 4)*(l**2 + 14*l + 19 - 17 + 65*l). -l**3 - 78*l**2 + 77*l + 2 Expand 21 - 10 - d**3 - 2*d**3 + (-2*d - 4 + 4)*(5*d**2 - d**2 - 3*d**2) + d**3 - 5*d**3 + 2*d**3. -7*d**3 + 11 Expand -82*u**4 - 62*u**4 + 80*u**4 + (1 - 2 + 4)*(3*u**4 - 3*u + 3*u) + (-u**3 + 2*u**3 + 0*u**3)*(4 - 2*u - 4). -57*u**4 Expand (-31*z**4 + 26*z**4 - 34*z**4)*(-18 - 20 + 41). -117*z**4 Expand 5 - 5 + s**2 + (5*s - 6*s - s)*(4*s - 4*s + 2*s) - 627*s + 627*s - 36*s**2 - 3*s**2 + 4*s**2 + 2*s**2. -36*s**2 Expand ((m - 3 + 3)*(-14 - 36 - 1) - m + 2*m - 2*m + (0 - 2 + 1)*(1 - 1 + 2*m) + 3 - 2*m - 3)*(-6*m + 23*m - 5*m). -672*m**2 Expand (3 - 3 - h)*(6*h + 17*h - h**4 - 5*h)*(-53 - 30 - 13). -96*h**5 + 1728*h**2 Expand (3*a - 5*a + 0*a)*(2 - 2 - 2*a + (-1 + 0 - 2)*(0*a + 9*a + 2*a))*(a - a - 2*a). -140*a**3 Expand (3*g - g + g)*(5 - 5 - 2 + (1 + 2 - 4)*(0 + 2 + 0) + 16 - 7 + 2). 21*g Expand (-204 + 61 - 364)*(z**2 + z - z) + (2*z - 3*z + 2*z)*(4*z - 3*z - 2*z). -508*z**2 Expand -4 + 4 + s - 16*s - 5*s + 4*s - 2*s - 4*s + 4*s + (-s + 2*s + s)*(-1 + 0 + 3). -14*s Expand (2*k - 3*k + 2*k)*(-4 + 8 - 3)*(k + 2*k - 18*k). -15*k**2 Expand (-28*d - 12*d + 2 - 2)*(d - d - 6*d). 240*d**2 Expand -s**4 + s**4 + s**4 + (5*s - 6*s - 20*s)*(-711 - 50*s + 711)*(-5*s + 5*s + s**2). 1051*s**4 Expand (3 + q**2 - 3)*(q + 2*q - 4*q)*(34 - 4 - 7). -23*q**3 Expand -2*l**3 - l + l + (5 - 3 + 0)*(2*l + l**3 - 2*l) + 0*l - 6*l**3 + 0*l + 3*l**3 + 3*l**3 - 5*l**3 - 435*l - 6 + 7*l**3 - l**2 + 435*l. 2*l**3 - l**2 - 6 Expand 3*d**4 - 4*d**3 - d**4 + 0*d**3 + (7*d + 4 - 4)*(-d**3 + 0*d**3 + 3*d**3). 16*d**4 - 4*d**3 Expand (-4*p - 3 + p + 5*p)*(2 + 5 + 20)*(5 - 5 - 1). -54*p + 81 Expand (16233 - 1361*s - 16233)*(s + 2*s**2 - 3*s**2 + 0*s). 1361*s**3 - 1361*s**2 Expand -10 + 75*l - l**3 + 12 + 19*l + (l**2 - 2*l**2 + 3*l**2)*(-l - l + 3*l). l**3 + 94*l + 2 Expand (4 + 3 - 5 + 4)*(-5*s - 6*s + s) - s + 3*s - s + (6 + 3 - 5)*(0*s + 2*s - 3*s). -63*s Expand (-2602 - 387 - 1616 + 317)*(l - 1 + 1). -4288*l Expand 0*k - 4 - 2*k - 4 + (-4 + 0 + 2)*(-5*k + 2*k + 0*k). 4*k - 8 Expand (-1 - 2 - 1)*(-33*y - 40*y + 18*y). 220*y Expand (-1 - 1 + 0)*(-2452*f + 889*f + 343 + 344 - 687). 3126*f Expand (45 - 13*t**2 - 11*t**2 + 25*t**2)*(-2*t + 1 - 1). -2*t**3 - 90*t Expand (-15 + 1 - 19)*(-c + 4 - 3 + c**2 + 0*c**2). -33*c**2 + 33*c - 33 Expand (z**3 - z + z)*(-2*z - 2*z + 2*z) - 25*z**4 - 9*z**4 - 12*z**4 + (-2 - z + 2)*(z**3 - 6*z**3 + 3*z**3). -46*z**4 Expand (-2 + 1 - 1)*(-3 + 33 + 13)*(-4 + 2*u + 4) + (1 + 5 - 4)*(0*u + 6*u - 4*u) + 3 - 3 - 2*u. -170*u Expand (6*f - 3*f - f)*(-383*f**2 + 833*f**2 + 123*f**2) + (-1 + 1 + f)*(-4 + 4 - 2*f**2) + 5*f**3 - 3*f**3 - 4*f**3 + 4*f**3 - 2*f**3 + 0*f**3. 1144*f**3 Expand (-4*l + l + 0*l + (-1 + 1 - l)*(-2 + 2 + 2) - 6*l + 2*l + 2*l)*(97 + 89 - 201)*(1 - 2 + 3). 210*l Expand (3 - 2 + 9)*(0*q**2 - 2*q**3 + 0*q**2 + (0 + 0 - 2*q**2)*(5*q + 0*q - 3*q)) - 66*q**2 + 66*q**2 + 10*q**3. -50*q**3 Expand 29*u**4 - 80*u**4 + 5868*u**3 - 5871*u**3 - u**4 + 0*u**4 + 0*u**4 + (3 + 0 - 4)*(-3*u**3 + u**4 + 3*u**3). -53*u**4 - 3*u**3 Expand (2 - 3 - 2)*(6*w**5 - 3*w + 3*w) + 2*w**5 + 0*w**4 + 0*w**4. -16*w**5 Expand -f**4 + 3*f**4 + 0*f**4 + (-f**3 - f**2 + f**2)*(f - 1 + 1) - 505*f**4 + 408*f**4 - 1049*f**4. -1145*f**4 Expand (-3 + 75 + 44)*(2*d + 3*d - 6*d)*(6 - 3 - 4)*(-1 + 1 - 3*d). -348*d**2 Expand (v + 0*v + v)*(v - 2*v - v) + (2 + 1 - 2)*(-2 - 2 + 33*v**2 - 34*v**2). -5*v**2 - 4 Expand 2*b**2 + 9*b - 15*b + 16*b + 7*b**2 - 1 + 1 - 2*b**2 - 3*b + 3*b + (2*b + 4 - 4)*(-4*b + 4*b + b) - 2*b**2 + 4*b**2 - b**2. 10*b**2 + 10*b Expand (-21 - 18 - 6)*(-9*k**2 - 2*k**4 + 9*k**2). 90*k**4 Expand (-2*p - p + p)*(6*p - 6*p - 7*p) + 0*p**2 - 3*p**2 + 5*p**2 + p**2 - p**2 - p**2 + (-1 - 2*p + 1)*(2*p - 2*p + 2*p) - p**2 + 2*p - 2*p. 10*p**2 Expand (-h - 4 + 4)*(86*h**2 + 10*h**2 - 180*h**2)*(-4 - 1 + 6) + h**3 - 3 + 3. 85*h**3 Expand (-5 + 2 - 2)*(29 - 29 - 12*z). 60*z Expand (5 + 2*t + 2 - 4)*(21 + 21 - 38 + 4*t). 8*t**2 + 20*t + 12 Expand (3*u -
{ "pile_set_name": "DM Mathematics" }
*h**2 - 6*h - 25. What is -9*f(t) - 4*p(t)? t**2 - 2*t + 21 Let i(q) = q - 6. Let n(y) = -128*y + 27. Determine 5*i(o) + n(o). -123*o - 3 Let v(i) = -7*i + 1. Let t(r) = 11*r - 1. Give -5*t(n) - 8*v(n). n - 3 Let b(z) = -7*z - 3*z**2 + 2*z**2 + 10*z - 6*z**2 - 10*z - 13*z**3 + 6. Let u(f) = -4*f**3 - 2*f**2 - 2*f + 2. What is 2*b(m) - 7*u(m)? 2*m**3 - 2 Let k(h) = h + 2*h - 10*h - 2. Let r(y) = 3*y + 1. Let l(t) = -3*t - 12. Let w be l(-6). Suppose -4*c - w = -4*o + 2*o, 0 = 2*c + 8. Determine o*r(s) - 2*k(s). -s - 1 Let l(n) = -21*n**3 - 16*n**2 + 4*n + 10. Let i(u) = -20*u**3 - 12*u**2 + 3*u + 9. Give -4*i(b) + 3*l(b). 17*b**3 - 6 Let i(m) = 3*m - 5. Let v(y) = 2*y + 0*y - y - 2 + 0*y + 0. Give -3*i(z) + 7*v(z). -2*z + 1 Let j(y) = -y + 16. Let m(k) = 1. Determine -j(l) - 4*m(l). l - 20 Let j(y) = -35*y - 5. Let r(n) = -18*n - 3. Determine 2*j(s) - 5*r(s). 20*s + 5 Let o(m) = -m + 1243 - 1248 - 2*m. Let w be 2/6*(13 - 1). Let f(a) = 8*a - 6*a + 1 + 7 - w. Calculate 4*f(b) + 3*o(b). -b + 1 Let v(m) = 2*m**2 + 2*m - 2. Let c(p) = 0 + 0 + 1 - p. Suppose -5*x - 17 = -3*a, 3*a + 1 = -4*x + 9. Determine x*v(k) - 2*c(k). -2*k**2 Let d(k) = -k**3 - k + 1. Let s(v) = -270*v**3 + 45*v - 45. What is -90*d(w) - 2*s(w)? 630*w**3 Let u(n) = -45*n + 5. Let p(c) = -2*c + 3. Calculate -p(d) + u(d). -43*d + 2 Let k(d) = -10*d - 92. Let j(g) = g - 1. Give 8*j(z) + k(z). -2*z - 100 Let g(u) = 2*u**3 + 3*u**2 - 2*u + 15. Let p(q) = q**3 + 2*q**2 - 3*q + 16. Calculate 2*g(z) - 3*p(z). z**3 + 5*z - 18 Let h(g) = -261*g - 5. Let y(w) = 1305*w + 27. Calculate 22*h(b) + 4*y(b). -522*b - 2 Let s(t) = -20*t**2. Let m(c) = 6*c**2 - 2*c**2 - 2*c**2 + 5*c**2. Let k(g) = -g**3 + 2*g - 2. Let y be k(2). Let p be (17/(-2))/(4/8). What is p*m(w) + y*s(w)? w**2 Let m(s) = 6*s**2 - 73*s + 5. Let r(h) = h**2 + 1. Calculate m(y) - 5*r(y). y**2 - 73*y Let l(u) = -12*u + 11. Let k(i) = -36*i + 30. Give -3*k(t) + 8*l(t). 12*t - 2 Let f = -57 - -69. Let n(k) = 7 - 21 + f + 3. Let y(q) = -q - 3. Calculate -3*n(l) - y(l). l Let j be -2 - (1 - 5) - (-3 + 0). Let n(y) = -y**2 + y + 5. Let z(r) = -5 + 14 - 10. Determine j*z(f) + n(f). -f**2 + f Let b(s) = -4*s. Let z(a) = -104*a**2 + 728*a. Give 546*b(f) + 3*z(f). -312*f**2 Let k(s) = -43 - 43 - 44 + 4*s + 135. Let r(j) = -j**2 - 3*j - 4. Give 3*k(i) + 4*r(i). -4*i**2 - 1 Let g(j) = -3*j**2 - j - 1. Let x(c) = -19*c**2 - 6*c - 7. Let l(t) = -6*g(t) + x(t). Let h(z) = -4*z**2 - z - 4. Calculate 2*h(s) - 7*l(s). -s**2 - 2*s - 1 Let g(c) = -3*c + 4. Let i(n) = -n + 2. What is -g(w) + 4*i(w)? -w + 4 Suppose -4*f + 24 = -5*t - 9, 4*f - 3*t = 23. Let q(s) = 1 - 1 + 9*s. Let p(r) = -100 + 100 - 3*r. Give f*q(o) + 7*p(o). -3*o Let l(t) = 32*t**2 + 7*t. Let a(z) = 11*z**2 + 2*z. Suppose 24 + 14 = 4*u + 2*q, 15 = 5*u - 4*q. Calculate u*a(j) - 2*l(j). 13*j**2 Let h(n) = n**3 + 2*n**2 + 2*n. Let z(w) be the first derivative of w**4/4 + w**3 + 2*w**2 - 93. Let f be (-38)/8 - 2/8. Calculate f*h(i) + 3*z(i). -2*i**3 - i**2 + 2*i Let j(h) = 19*h - 64. Let o(d) = 10*d - 31. Determine 6*j(l) - 11*o(l). 4*l - 43 Let d = -14729 + 14746. Let q(l) be the second derivative of l**4/2 - 10*l**3/3 - 23*l**2/2 - l. Let n(p) = 2*p**2 - 7*p - 8. What is d*n(v) - 6*q(v)? -2*v**2 + v + 2 Let o be -6*1/2 - 28. Let j = 35 + o. Let k(w) = 2 + 3 - 9*w + 5*w**3 + 0. Let a(y) = -2*y**3 + 4*y - 2. Determine j*k(s) + 9*a(s). 2*s**3 + 2 Let g(t) be the third derivative of -7*t**6/120 + 2*t**3/3 + 150*t**2. Let p(y) = -6*y**3 + 3. Calculate 3*g(b) - 4*p(b). 3*b**3 Let a(j) be the second derivative of -3*j**5/10 + 2*j**2 - 636*j. Let q(x) = 3*x**3 - 2. Determine 3*a(n) + 7*q(n). 3*n**3 - 2 Let k(h) = 3*h. Let f(b) = -3*b. Let t(v) = -5*f(v) - 4*k(v). Let x(d) = 23*d. Suppose 37*y - 41*y + 480 = -24*y. Determine y*t(q) + 3*x(q). -3*q Let d(w) = -34*w - 7. Let o(a) = -50*a - 11. Determine -8*d(y) + 5*o(y). 22*y + 1 Let a(t) = 4*t**3 + 6*t + 6. Let q(g) = -65*g + 28 - 93 + 7248*g**2 - 12*g**3 - 7248*g**2 - 33*g**3. Determine -65*a(h) - 6*q(h). 10*h**3 Let l(q) = 13*q**2 + 4. Let r(m) = 38*m**2 + 11. Suppose 0 = -1120*s + 1106*s - 56. Calculate s*r(p) + 11*l(p). -9*p**2 Let s(l) = -6*l**3 - 5*l + 6. Let r(u) = -u**3 - u + 1. Let h be (2 - -23)/((-2)/(-2)). Suppose -9 = 4*a - h. Let j = a + -15. Calculate j*r(y) + 2*s(y). -y**3 + y + 1 Let r(v) = -2*v**2 + 3*v - 2. Let x(m) = -3*m + 2. Let k(u) = -19*u + 13. Let s(z) = -k(z) + 6*x(z). Calculate -r(w) + 4*s(w). 2*w**2 + w - 2 Let o(u) = -u + 1. Let j be (-3)/(-2 - 1) - 9/3. Let h(i) = 3 + 31*i - 30*i - 3. What is j*h(p) - o(p)? -p - 1 Let o(q) be the second derivative of q**3/3 + q**2 - 6*q. Let x(p) be the first derivative of -3*p**2/2 - 3*p - 1. Calculate -5*o(j) - 4*x(j). 2*j + 2 Let g(t) = -1174390*t - 2649. Let k(o) = 887*o + 2. Calculate -2*g(z) - 2649*k(z). -883*z Let g(o) = 3*o**2 + 22*o + 4. Let b(l) = -l**2 - 7*l - 1. What is -8*b(f) - 3*g(f)? -f**2 - 10*f - 4 Let o(i) = 9*i**2 - 2. Suppose 0 = 360*u - 348*u + 36. Let q(p) = 9*p**2 - 2. Give u*q(s) + 2*o(s). -9*s**2 + 2 Let g(z) = -z**3 + z**2 - z. Let l(q) = -3*q + 2 + 0*q**2 + q - q**3 + q**2. Give -2*g(c) + l(c). c**3 - c**2 + 2 Let y(a) = 6*a + 5. Let h(o) = 5*o + 4. Let c(s) = -5*h(s) + 4*y(s). Let g be (-7)/1 - (2 + -21). Let p(u) = -9*u. Give g*c(f) - p(f). -3*f Let r(m) = -5*m - 103. Let v be r(19). Let d(q) = -90*q**2 + 99*q - 99. Let y(a) = a**2 - a + 1. Give v*y(f) - 2*d(f). -18*f**2 Let a(g) = -10*g - 308. Let s(u) = -8*u - 308. Give -3*a(m) + 4*s(m). -2*m - 308 Let q(o) = 9*o**3 + 9*o**2. Let j(w) = w**2. Suppose 6*z + 5 + 1 = 0. Give z*q(l) + 9*j(l). -9*l**3 Let i be 127/5 - (-4)/(-10). Let z be (-115)/i - (-2)/(-5). Let x(f) = -3*f - 6. Let p(k) = k + 1 - 3*k - 2*k - 8. Calculate z*x(h) + 4*p(h). -h + 2 Let s(l) = 2*l**2 - 7*l - 2. Let n(f) = -3*f**2 + 8*f + 3. Calculate -4*n(y) - 5*s(y). 2*y**2 + 3*y - 2 Let x(y) = -13*y - 9. Let u(w) be the third derivative of -7*w**4/24 - 5*w**3/6 + 8*w**2. Let d be (2/(-6))/((-28)/(-588)). What is d*u(t) + 4*x(t)? -3*t - 1 Let p(l) = 5*l**2 + 6. Let n(d) = 14*d**2 + 17. Let j = 16 - -14. Suppose b + r + j = -b, 1 = -b - 4*r. What is b*p(g) + 6*n(g)? -g**2 Let t(v) = 8*v**3 - 4*v**2 + 2*v + 5. Let i(h) = -h**3 + h**2 - h + 1. Calculate 6*i(n) + t(n). 2*n**3 + 2*n**2 - 4*n + 11 Let n(p) = -234*p**3 - 4*p**2 - 3*p - 8. Let o(k) = k**3 + k**2 + k + 2. What is -n(y) - 4*o(y)? 230*y**3 - y Let l(h) = 7*h**2 - 3*h + 5. Let c be (7/(4 - -3))/((-1)/(-103)). Let u = 108 - c. Let n(y) = 6*y**2 - 3*y + 4. Give u*l(p) - 6*n(p). -p**2 + 3*p + 1 Let c(x) = x. Let m(t) = -53 + 55 - 966*t + 970*t. Calculate 2*c(n) - m(n). -2*n - 2 Let m(o) = 13. Let a(b) = -7. Let p(w) = 11*a(w) + 6*m(w). Let v be (3 - 2) + 0 - 0. Let c(n) = n - 7. Determine v*c(l) + 5*p(l). l - 2 Let f(r) = -42*r. Let i(x) = -41*x. Let k(p) = -5*f(p) + 6*i(p). Let y(m) = -5*m. Give 3*k(n) - 20*y(n). -8*n Let h(x) be the second derivative of 1/2*x**2 - 21*x + 0 + 1/6*x**3 - 1/20*x**5 + 0*x**4. Let s(d) = -4*d**3 - 3*d**2 + 2*d + 2. Calculate 2*h(c) - s(c). 2*c**3 + 3*c**2 Let g(n) = -7*n - 4*n**3 - 7*n**3 + n**3 + 13. Let h(x) = -7*x**3 - 5*x + 9. Suppose -5*t + 3*v = -32, 0*t + 5*t + 3*v - 38 = 0. Calculate t*h(s) - 5*g(s). s**3 - 2 Let f(k) = 19*k**2 + 8*k - 6. Let t(d) = -d**2 - d + 1. Let v(x) = x**3 + 29*x**2 - 27*x + 96. Let n be v(-30). Calculate n*t(i) + f(i). 13*i**2 + 2*i Let n(y) = -11*y**3 + 6*y**2 - 6*y - 6. Let s(q) = 45*q**3 - 25*q**2 + 25*q + 25. Let i = -495 - -489. Determine i*s(k) - 25*n(k). 5*k**3 Suppose 6*d - 3*d - 3 = 0. Let p(l) = 2*l. Let c(a) = a**3 - 6*a - 7. Let f be c(3). Let i(y) = 0 + 2 - 1. Give d*p(j) + f*i(j). 2*j + 2 Let r be (-1)/(-2)*-7*(-488)/854. Let a(h) = h - 1. Let n(j) = -j**2 + 11 - 4 + 2*j**2 - 7*j. Calculate r*n(l) + 14*a(l). 2*l**2 Let k(c) = -7*c + 16. Let y(m) = -21*m + 48. What is 8*k(r) - 3*y(r)? 7*r - 16 Let v(x) be the second derivative of 0*x**2 + 0 + 0*x**3 - 2*x - 5/12*x**4 - 1/20*x**5. Let c(n) = n**2. What is -5*c(p) - v(p)? p**3 Let u(g) = -3*g**2 + 4*g + 5. Let k(t) = t + 1. Let w(j) = 3*j - 9. Let f be w(4). Suppose -f*p + p = -6. Give p*k(a) - u(a). 3*a**2 - a - 2 Let h(j) = j - 63. Let u be h(7). Let o(v) = -32*v. Let q(g) = -g. Give u*q(k) + 2*o(k). -8*k Let z(j) = -18*j - 5*j + 14*j + 8 - 3*j. Let n(d) =
{ "pile_set_name": "DM Mathematics" }
False Is 270097 prime? True Is 427859 prime? True Is 57521 a prime number? False Is 67001 prime? False Is 4553 a composite number? True Is 71471 composite? False Is 3989 composite? False Is 69691 a composite number? False Is 5578 a prime number? False Is 342959 prime? False Is 1211 composite? True Is 110303 composite? True Is 42259 a prime number? False Is 95341 prime? False Is 312293 a prime number? False Is 1657 a composite number? False Is 11441 composite? True Is 41061 composite? True Is 2513 a composite number? True Is 75151 a prime number? False Is 74915 composite? True Is 4177 a composite number? False Is 549623 prime? True Is 2581 prime? False Is 27883 a prime number? True Is 435419 a prime number? True Is 12637 prime? True Is 7789 a prime number? True Is 1312295 prime? False Is 14081 prime? True Is 626213 a prime number? False Is 17869 prime? False Is 512047 a composite number? False Is 66457 a prime number? True Is 398363 prime? False Is 6839 a composite number? 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True Is 1517 composite? True Is 1913 a composite number? False Is 3603 a prime number? False Is 455395 a prime number? False Is 4547 a composite number? False Is 502651 prime? True Is 1367 prime? True Is 153157 composite? True Is 2395 a composite number? True Is 37651 prime? False Is 305153 a prime number? False Is 10903 composite? False Is 1399 a composite number? False Is 54947 composite? True Is 20137 prime? False Is 1163 composite? False Is 11003 composite? False Is 106487 prime? True Is 7403 a composite number? True Is 199151 prime? True Is 3793 prime? True Is 2991 a composite number? True Is 9383 composite? True Is 1633 a prime number? False Is 70637 a prime number? False Is 23809 a composite number? True Is 325057 prime? False Is 50899 prime? False Is 197147 a prime number? True Is 144289 a composite number? False Is 290903 prime? False Is 72337 a prime number? True Is 10909 composite? False Is 1966879 a prime number? True Is 11759 a composite number? True Is 150809 prime? False Is 80599 a prime number? True Is 24053 a prime number? False Is 2797 composite? False Is 3033383 a prime number? True Is 1205 prime? False Is 142 composite? True Is 115963 prime? True Is 131411 a prime number? False Is 114419 prime? True Is 59043 a composite number? True Is 3047 a composite number? True Is 304331 prime? True Is 16487 a prime number? True Is 17237 a composite number? True Is 257767 prime? False Is 189281 a composite number? True Is 149351 a prime number? True Is 30301 composite? True Is 253621 a prime number? False Is 234271 a composite number? False Is 10639 a composite number? False Is 183455 a prime number? False Is 67787 composite? True Is 29629 composite? False Is 463783 composite? True Is 7327 prime? False Is 91673 prime? True Is 1160659 prime? True Is 85047 a prime number? False Is 31895 a composite number? True Is 5131 a composite number? True Is 515717 composite? True Is 87439 a prime number? False Is 10747 prime? False Is 52661 composite? True Is 537123 a composite number? True Is 167809 composite? False Is 647 a prime number? True Is 896069 composite? False Is 4911 composite? True Is 479393 composite? True Is 308893 prime? False Is 1142059 a composite number? False Is 56995 a prime number? False Is 298183 a prime number? False Is 26547 composite? True Is 485479 prime? True Is 57161 a composite number? True Is 4853 a prime number? False Is 14369 a prime number? True Is 192277 a composite number? True Is 72061 prime? False Is 787867 a composite number? True Is 116897 prime? False Is 46987 prime? False Is 16917 prime? False Is 650813 composite? False Is 54893 composite? True Is 123811 a composite number? True Is 12197 a composite number? False Is 68813 a composite number? False Is 25049 composite? True Is 98999 composite? False Is 4193619 a prime number? False Is 18545 prime? False Is 7817 a composite number? False Is 59091 a prime number? False Is 120215 a prime number? False Is 1350257 prime? True Is 61055 a prime number? False Is 102965 prime? False Is 30679 a prime number? False Is 1014329 composite? True Is 58559 composite? True Is 68989 prime? False Is 441709 prime? False Is 49337 prime? False Is 125183 prime? True Is 22205 composite? True Is 72053 prime? True Is 15227 a composite number? False Is 74615 a prime number? False Is 9235 a prime number? False Is 7613 composite? True Is 1798579 prime? False Is 1105517 prime? False Is 38543 a prime number? True Is 599686 a composite number? True Is 11409 a composite number? True Is 11301 a prime number? False Is 717721 composite? True Is 13343 prime? False Is 231743 a prime number? False Is 31121 composite? False Is 357187 a prime number? False Is 72095 prime? False Is 448837 a prime number? False Is 594485 prime? False Is 357407 composite? True Is 474041 a prime number? False Is 179 prime? True Is 409 composite? False Is 14471 a composite number? True Is 83693 composite? True Is 6779 composite? False Is 17741 a composite number? True Is 338357 prime? False Is 2722 a composite number? True Is 270367 a composite number? True Is 13291 prime? True Is 24587 a composite number? True Is 19319 composite? False Is 51607 a composite number? False Is 685145 composite? True Is 5069 a prime number? False Is 3719 a composite number? False Is 1219 prime? False Is 307909 prime? False Is 8803 composite? False Is 44509 prime? False Is 92077 a composite number? False Is 261971 composite? False Is 4654963 a composite number? False Is 59833 composite? False Is 141 prime? False Is 39599 a composite number? True Is 125306 composite? True Is 19621 composite? True Is 11957 composite? True Is 6521 a prime number? True Is 80609 composite? True Is 38593 prime? True Is 17159 composite? False Is 20663 prime? True Is 21955 composite? True Is 36181 a composite number? True Is 27227 a composite number? True Is 53213 composite? True Is 12811 composite? True Is 9934 composite? True Is 77069 prime? True Is 149239 composite? False Is 20477 prime? True Is 1680559 a composite number? True Is 52051 composite? False Is 287137 prime? True Is 17481 a prime number? False Is 242455 composite? True Is 38483 a composite number? True Is 1113451 a composite number? False Is 464431 composite? True Is 325931 a composite number? True Is 57394 a prime number? False Is 1709 prime? True Is 361239 composite? True Is 209915 a composite number? True Is 7861 a prime number? False Is 283621 a composite number? True Is 28759 a composite number? False Is 56369 prime? True Is 333019 a prime number? True Is 149071 a prime number? False Is 161831 prime? True Is 17011 a prime number? True Is 14727 a composite number? True Is 11677 a composite number? False Is 652929 a composite number? True Is 176179 a composite number? False Is 25099 a prime number? False Is 45433 a composite number? False Is 211039 prime? True Is 23431 a prime number? True Is 6779 prime? True Is 899666 prime? False Is 94229 a prime number? True Is 957071 composite? False Is 37531 composite? True Is 118127 composite? False Is 3238 composite? True Is 11549 composite? False Is 28123 composite? False Is 2233262 prime? False Is 31439 prime? False Is 116059 prime? False Is 84787 a prime number? True Is 64537 a prime number? False Is 238883 a composite
{ "pile_set_name": "DM Mathematics" }
r**2 + 2*r - 1. Let i be h(1). Suppose l + l = i. Suppose 1 = -v + l. What are the prime factors of v? 2 Let l(p) = -14*p - 4. What are the prime factors of l(-1)? 2, 5 Let o = 2 + 1. Let k(l) = 21*l**2 + 2*l - 1. Let a be k(1). Suppose -r = -2*b - 13, -r + a = o*r + 2*b. List the prime factors of r. 7 Let m(t) = t**3 - t**2 - t + 4. Let d be m(0). Let l = d - 3. List the prime factors of (-7)/(-4)*l*4. 7 Let f = -224 - -327. List the prime factors of f. 103 Let u(v) = -12*v - 3. Let t be u(-4). Suppose -4*j + 47 = -t. What are the prime factors of j? 23 Suppose -2*a - 2*a - 120 = 0. Let k be (-2)/5 - 612/a. Suppose b = -b + k. List the prime factors of b. 2, 5 Let f(r) = -9*r + 1. Suppose 2*n + 7 = 3*s + 1, 3*s - 12 = 0. Suppose -4*g - 3 = v, -v + 2*v = 2*g + n. What are the prime factors of f(g)? 2, 5 Let p = -13 - -19. What are the prime factors of (3 + 2/(-1))*p? 2, 3 Suppose -5*c = 5*q - 875, -q - 341 = -2*c - 0*c. Suppose 0 = m + 3*m - c. What are the prime factors of m? 43 Let n be (-1 - 0)*(-2 + -1). Suppose -l + 29 - 3 = 0. Suppose -n*z - l = -5*z. What are the prime factors of z? 13 Let h(f) = 2*f + 8. What are the prime factors of h(11)? 2, 3, 5 List the prime factors of 80/(-35) + 2/7 + 140. 2, 3, 23 Suppose -n = -t - 39, -157 = -4*n + 2*t + 3*t. List the prime factors of n. 2, 19 Let l(c) = c**3 - 12*c**2 - 11*c + 14. What are the prime factors of l(13)? 2, 5 Suppose -4*x + 7 = -4*v + 3, -3*x - 1 = v. Let d(t) = -34*t - 1. Let u be d(v). Let b = u + -21. List the prime factors of b. 2, 3 Suppose -z = 3*z - 12. Suppose -z*q + 20 - 7 = -r, 2*q = -2*r - 26. Let v = -9 - r. What are the prime factors of v? 2 Suppose 4*k - 44 = -o - 0*o, 0 = -2*o - k + 88. Suppose 4*x - w = -5*w + o, 4*w = 5*x - 73. List the prime factors of x. 13 Let s = -45 + 63. Suppose 4*i - 121 = -3*t, t + s = 2*i - 45. What are the prime factors of i? 31 Suppose -2*o = 5*i - 118, -5*o - 106 = -5*i - 471. Let b be 0 + (o/3 - 0). Suppose 4*d = 8*d - 5*n - b, -1 = -5*d - 3*n. List the prime factors of d. 2 Let t be 234/(-10) + (-18)/30. What are the prime factors of t/(-14)*(-42)/(-4)? 2, 3 Suppose 4*r - 15 = -q, r + 82 = 4*q + 22. Suppose -q - 291 = -6*k. List the prime factors of k. 3, 17 Let x(g) = 4*g**2 - 9*g - 2. Let f(z) = -5*z**2 + 10*z + 3. Let l(j) = 3*f(j) + 4*x(j). List the prime factors of l(8). 17 Let u(b) = b**3 + 5*b**2 + 3*b - 3. Let z be u(-6). Let d = -10 - z. What are the prime factors of d? 47 Suppose -6*o + 3*o - 24 = -3*m, 0 = 5*m - o - 56. What are the prime factors of m? 2, 3 Suppose a - 2*i = 25, 7*i = -2*a + 8*i + 59. What are the prime factors of a? 31 Let z(o) = -o**3 - 6*o**2 + 4*o + 4. Let g be z(-4). Let c = 63 + g. List the prime factors of c. 19 Suppose 168 = 3*i + i. List the prime factors of 368/14 + (-12)/i. 2, 13 Let u(x) = x**2 + 2*x - 18. Let i be u(0). Let h = i + 54. What are the prime factors of h? 2, 3 Suppose -1 = -3*o - 4. Let r be (1/5)/(o/(-5)). Let j = r + 7. What are the prime factors of j? 2 Let a(c) = 8*c - 1. Let l be a(1). Let i be (-2)/l - 290/14. List the prime factors of i/(-6)*4 - 0. 2, 7 Suppose -3*d = -5*g + 279, 77 = -4*g - 5*d + 278. What are the prime factors of ((-8)/(-6))/(12/g)? 2, 3 Let c = 62 - 37. Suppose i - 5 = g - 2*g, 3*g - 5*i = -c. Suppose v - 2 = -g. What are the prime factors of v? 2 Let r(d) = d**3 + 8*d**2 - 10*d + 7. Let z(i) = -i**3 - 7*i**2 - 5*i - 3. Let q be z(-6). What are the prime factors of r(q)? 2 Suppose 0 = 4*c - 0*c, 2*i - 3*c - 22 = 0. List the prime factors of i. 11 Let f be (-1770)/(-15) - (-4)/(-2). What are the prime factors of (f + (1 - -1))/2? 59 Suppose -545 = -5*l + 5*f, -4*l - f + 107 = -3*l. Suppose -w + l = 3*w. List the prime factors of w. 3 Suppose 0 = -3*z - 15, -2*k + k - 4*z - 14 = 0. Suppose -w - k = 5*j - 3*w, 4*j - 3*w = -9. Let i = j + 2. What are the prime factors of i? 2 Let r(u) = u + 6. Let z be r(0). Suppose -l + z*b = 2*b - 3, 3*b = -l + 3. Suppose k - l*d - 4 = 0, 0 = -0*k - k + 5*d. What are the prime factors of k? 2, 5 Let f(w) = w**3 - 9*w**2 - 13*w + 2. Let t be f(10). Let p = 46 + t. What are the prime factors of p? 2, 3 List the prime factors of 2/4 - 2375/(-50). 2, 3 Suppose 2*n + 3*m - 11 = 0, n - 6*n = 2*m - 55. What are the prime factors of n? 13 Suppose -32 - 93 = 5*w. Let y = -4 - w. List the prime factors of y. 3, 7 Suppose -5*h = -4*m - 198, -m + 171 = 3*h + h. What are the prime factors of h? 2, 3, 7 Suppose -3*t - 7 = -4*s + 10, 4*s - 23 = -3*t. Suppose 0 = 5*i - 2*g - 105, s*i - 4*g - 137 + 42 = 0. What are the prime factors of i? 23 Suppose -13 + 4 = -3*d, -2*x - 3*d + 55 = 0. Let a = 4 + -3. Suppose -x = -2*k + a. What are the prime factors of k? 2, 3 Let g be (-24)/16 + (-79)/(-2). Suppose -i = i - g. What are the prime factors of i? 19 Let i = 4 - 5. Let u(t) = -3*t**3 + t**2 + 2*t + 1. Let v be u(i). Let k = 5 - v. List the prime factors of k. 2 Let s(q) = q**3 + 15*q**2 + 15*q + 8. Let k be s(-14). List the prime factors of (-932)/(-24) + (-1)/k. 3, 13 Let z(f) = 253*f - 8. What are the prime factors of z(1)? 5, 7 Let j = 50 + -44. What are the prime factors of j? 2, 3 Let u = 263 - 177. What are the prime factors of u? 2, 43 Let a(b) = -b**3 + 6*b**2 - 4*b + 9. What are the prime factors of a(5)? 2, 7 Let p = 21 - 29. Let o(c) = c**3 + 3*c**2 - 4*c - 6. Let t be o(-4). What are the prime factors of 9*(p/t)/2? 2, 3 Let f(x) = 6*x - 12. List the prime factors of f(5). 2, 3 List the prime factors of 6/(-5)*(-5)/3. 2 Suppose -4*c + 453 = -351. What are the prime factors of c? 3, 67 Suppose -56 - 25 = -3*q. List the prime factors of q. 3 Suppose 2*b - 5*u + 6 = 0, 8*u - 4*u = -b - 3. Let p = b + 8. Let f = p + 1. What are the prime factors of f? 2, 3 Let t be (-3 + (-9)/(-3))/2. Suppose -2*s + t*s + 6 = 0. Suppose y - 14 = g, -s*y - 5*g = -g - 35. What are the prime factors of y? 13 Let w = -35 + 50. Suppose 4*k - k = 24. Let s = w - k. List the prime factors of s. 7 Suppose 3*n + y - 35 = 6*y, -5*y = n - 25. What are the prime factors of n? 3, 5 Suppose 2*u - 6*u + 32 = 0. Let i be (-1)/(-3)*3/1. What are the prime factors of (i + -2)/((-1)/u)? 2 Suppose -3*x + k = -331, -k + 335 = 2*x + x. List the prime factors of x. 3, 37 Let k(r) = r**2 + r + 3. Let v be k(0). Let j(l) = 4*l**v - 2 - 4*l**3 + l**2 + l**3 + 16. List the prime factors of j(0). 2, 7 Let y(v) = v. Let i(d) = 4*d - 4. Let p(g) = -i(g) + 6*y(g). Let t = -5 + 10. List the prime factors of p(t). 2, 7 Let h = 4 - -1. Suppose 3*q - 14 = h*c, 1 = -q - 2*c + 2. List the prime factors of q. 3 Let d(b) = -3*b**2 + 4*b - 3. Suppose -5*x + 3 = -12. Let p be d(x). What are the prime factors of (p/4)/((-1)/2)? 3 Let a = 29 + -55. Let q = a - 0. What are the prime factors of 2/(-8) - q/8? 3 Let o(y) = y - 6. Let z be o(6). What are the prime factors of 9/(z + -1 + 2)? 3 Suppose -2*h + 0 = -52. Suppose -2*j = -7*j + g + h, 0 = 5*j + 2*g - 23. List the prime factors of j. 5 List the prime factors of (-1 + 3)*63 - -5. 131 Let b = 9 - 6. Suppose -2*a - 3*a = -b*f - 112, f = 1. What are the prime factors of a? 23 Let l(h) = 2*h**2 + 6*h + 8. Let x(z) = -3*z**2 - 6*z - 8. Let f(j) = 4*l(j) + 3*x(j). Let d be (6/8)/((-2)/(-16)). What are the prime factors of f(d)? 2 What are the prime factors of 456/5 - 2/10? 7, 13 Suppose -y = 2*w - 41, w = -3*w + 3*y + 77. Suppose -d + 12 = -3*j, 5*d - 3*j = 16 + w. List the prime factors of d. 2, 3 Let k = 83 - 44. List the prime factors of k. 3, 13 Suppose 14 = 5*m - 3*z, 0 = 2*m - m - 5*z + 6. Suppose m = 3*g - 11. List the prime factors of g. 5 Let k = -9 - -14. Suppose 4*d + 5*u = -9, 0 = -4*d + k*u + 63 - 22. What are the prime factors of d? 2 Let k(s) = -13*s + 1. Let n be k(-5). Suppose 2*q - n = -q. Suppose 2*r - q = 5*y, -2*y + 12 + 2 = 3*r. List the prime factors of r. 2, 3 Let y be (-6)/9 + (-352)/12. Let a = 53 + y. Suppose 0 = -b + 4*c + 24, 2*c + c + a = b. What are the prime factors of b? 2, 5 Let j = -63 + 105. List the prime factors of j. 2, 3, 7 Let o be (25/4)/(5/(-20)). Let i = 35 + o. List the prime factors of i. 2, 5 Suppose 3*f + f = 0. Suppose 2*y - 4*g + 7 + 9 = f, g = y + 8. Let a(c) = c**3 + 9*c**2 + 6*c - 4. What are the prime factors of a(y)? 2, 3 Suppose -9*j = -j - 2*j. Suppose -23 = -f + 4*v - 9*v, v = 2*f - 35
{ "pile_set_name": "DM Mathematics" }