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-6) -2/13 What is (9/15)/((-208)/130)? -3/8 What is (-1)/2*(7 + (-63)/9)? 0 What is the value of (-1*8)/(-8 - -5 - -1)? 4 What is the value of ((-8)/112)/((-19)/4 + 5)? -2/7 Calculate ((-7)/((-98)/12))/((-1304)/1141). -3/4 What is (-8)/(-12) - 5/30? 1/2 Evaluate 2*3 + (-8 - -7 - 9). -4 Calculate (3/(-6)*-2)/((-196)/(-168)). 6/7 What is the value of 5/2*(1336/(-220) - -6)? -2/11 5/((3/9)/(8/(-24))) -5 Evaluate (-6*6/(-9))/(0 + -2). -2 Calculate -2 + 0 + 0/1. -2 What is (-1224)/(-1785) - 4/14? 2/5 Evaluate 9*1 + (-114)/38. 6 What is 29 + -37 + 6 + 1? -1 What is (-3 - -1) + 0 + 0/(-52)? -2 Evaluate ((-1)/((-12)/(-20)))/(5/(-2)). 2/3 Calculate (4 - 98/21)*6/(-16). 1/4 (-5 + 3)/(0 + 1) + 1 -1 (7/(84/(-18)))/(264/32) -2/11 (32/40)/((-52)/10) -2/13 Calculate (2/16)/(41/984). 3 What is (-36)/126 + 66/(-14)? -5 Evaluate 1*(-1)/2 - (-440)/1584. -2/9 Evaluate (-72)/96 - (0 - (-10)/8). -2 (-3)/(-11) - 50/22 -2 (-290 + 287)*1/(-21) 1/7 What is the value of (3/2)/(150/200)? 2 What is the value of ((-12)/9)/(8/(-24))? 4 Calculate (114/95)/(6/(-20)). -4 What is the value of -206 - -197 - (1 - 7)? -3 Evaluate (1 + (-3)/(-2))*(-1 - -3). 5 Calculate 4/6*(1/2 + 13). 9 Calculate (8 - (6 - -1))*1. 1 Evaluate 8*((-2)/6)/((-60)/9). 2/5 Calculate (-3)/(-12) + -1 - 1012/(-880). 2/5 (-1)/(-2) - 21/(-6) 4 What is the value of 4/8*(-16)/(-44)? 2/11 42/(-12) - (-3)/(-2) -5 Calculate (0 + 1)*(-5)/35. -1/7 What is ((-25)/70)/(4/(-56))? 5 Evaluate (-2)/(-4) + 0 - (-341)/(-2046). 1/3 ((-15)/35 - (-561)/(-210)) + 3 -1/10 Calculate -1 + -1*7 + (-65 - -67). -6 What is 20/(-6)*54/(-36)? 5 What is (-8)/10*(-6)/8? 3/5 32/(-168)*4/((-16)/14) 2/3 -5 + 2 + 14/4 1/2 (-1)/(-6)*(-40)/(-70)*14 4/3 Calculate (-5 + 2)*(-13)/((-195)/10). -2 Evaluate (-2)/(-54)*9*12. 4 What is the value of (-18)/(-4)*(-4)/6? -3 What is -5*6/(-135) + 112/(-180)? -2/5 -1 - 111/(-46) - (-63)/(-42) -2/23 Evaluate ((-9)/78)/((-5)/(-60)*9). -2/13 (735/(-275))/7 - (-4)/22 -1/5 What is 0/(-3)*8/8 + 8? 8 What is the value of (-100)/(-26) + (-20)/5? -2/13 What is (-39)/(-234)*(5 - -1)? 1 What is (-252)/20 + -16 + 27? -8/5 What is the value of (((-32)/(-12))/(-4))/((-1)/(-6))? -4 Evaluate 0 + 11/4 + (-21)/7. -1/4 What is the value of (-264)/(-72) - 3/(-9)? 4 What is (-10)/(-35) + (-2)/7 + 3? 3 Evaluate 742/(-159) - (-4)/(-3). -6 ((-3)/34)/((-213)/(-284)) -2/17 Evaluate (-3)/(-90) - 24/144. -2/15 Calculate (6/(-4) - 0)*-2. 3 What is (2/(-8 + 2))/(10/3)? -1/10 (-1624)/266 + (-6)/(-57) -6 What is (12 - -1) + 942/(-72)? -1/12 What is the value of (253/(-99) + 2)*(-6)/5? 2/3 Calculate (1 + (-1 - -1))*-1 + -3. -4 ((-4)/18*-3)/((-38)/171) -3 (-192)/(-280) - (-2)/(-7) 2/5 What is the value of (48/96)/(2/12)? 3 Evaluate (36/(-27))/(8/(-3) - -3). -4 2/10 - 1/(-20) 1/4 What is the value of (4/7)/(9/7)? 4/9 (1/6)/(-2 - (-24)/9) 1/4 What is the value of ((-3)/(-9)*4)/(56/12)? 2/7 (-70)/20*(-24)/(-21) -4 Evaluate 20/55*66/12. 2 Calculate (0 + 24/(-28))*(-154)/33. 4 (1/(-8))/(((-35)/(-30))/7) -3/4 What is the value of ((-65)/39)/((-10)/24)? 4 Evaluate (-14)/63*-1 - 1/(-9). 1/3 Calculate ((-10)/(-2) - 8)*1. -3 Evaluate ((-3)/4)/(354/118). -1/4 Calculate 4/(-18) - (-780)/(-135). -6 Evaluate -2*4/32 - (-143)/(-260). -4/5 ((-6)/16)/(615/(-984)) 3/5 What is the value of (((-84)/(-294))/(2/(-98)))/2? -7 What is 15 + 378/(-24) + (-2)/(-3)? -1/12 Evaluate (3 + 0 - 3)*3/3. 0 Evaluate (318/39 - 10) + 2. 2/13 What is the value of ((-6)/(-21))/((-60)/(-1400)) + -6? 2/3 -2 + -2 - (0 + -7) 3 What is the value of 2/(-21) - (-1 - (-3)/9)? 4/7 What is the value of (13/(-26))/((-18)/100) + -3? -2/9 Calculate 6/27 + (-16)/(-90). 2/5 What is the value of -9*(-2)/(-42)*(-3)/(-9)? -1/7 Evaluate -1*(-1)/(-18)*8. -4/9 Evaluate -5 + 114/(-198)*-9. 2/11 (2/7)/(((-270)/35)/6) -2/9 -61 - -57 - (-17)/4 1/4 What is the value of (-6 + 2 - -2)/(-11)? 2/11 What is the value of (-1)/(-2) - (-15)/(-10)? -1 Evaluate (-134)/(-26) - (-2)/(-13). 5 What is the value of (-38)/19*2/(-4)? 1 What is (-39)/9 - ((2 - 5) + -1)? -1/3 What is (3/(-6)*0)/(8 - 5)? 0 Evaluate -1 + (-6 + 5)*1. -2 What is 6 + (6 - (-6 - 511/(-28)))? -1/4 Calculate (6 + 7/(-1))/1. -1 Calculate (31/465)/((-2)/(-10)). 1/3 What is the value of -8 - (81/(-135))/(4/50)? -1/2 What is the value of (25 + -25)/(-1 + (0 - 0))? 0 What is the value of 1 + 8/(-6)*(-27)/(-12)? -2 Calculate (1/(-12))/((-3)/(4 + 8)). 1/3 Calculate 12/(-27)*(-1 + 4). -4/3 Evaluate ((-9)/9)/(-4 - 18/(-4)). -2 (5*-2)/((-80)/32) 4 What is the value of (-3 + (-22)/(-8))/((-1)/4)? 1 What is the value of (-1)/((-24)/(-6) - 3)? -1 Calculate 1808/(-678) - (2 + 4/(-6)). -4 Evaluate 4/(-6)*(5 + 91/(-14)). 1 What is 2/10 + (-78)/(-210)? 4/7 What is the value of 707/(-77) - -3 - -6? -2/11 (-68)/(-680)*(-6)/(-2) 3/10 Evaluate 649/(-44)*-1 + -14. 3/4 What is the value of (9/5 + -1)*(-8)/(-16)? 2/5 Calculate (-8 - (-15 + 4)) + 2/(-2). 2 Evaluate (-64)/(-40)*((-3)/(-2) - -1). 4 What is the value of (-66)/(-55)*(-20)/(-6)? 4 Calculate (-6)/(-2)*10/90. 1/3 What is the value of (-4)/(-1518)*102 + 18/(-207)? 2/11 ((3 - 2) + -1)/3 0 What is the value of 0/21 - 2/(-9)? 2/9 Evaluate (7/(-28))/(1/(-12)). 3 Evaluate 14/2 + 2640/(-400). 2/5 Calculate ((-250)/(-21))/5 + 64/224. 8/3 Calculate (4/(-18))/(560/(-252)). 1/10 What is the value of (-3)/(-2)*-2 - 9/(-3)? 0 Evaluate (-68)/14 + 248/(-217). -6 What is the value of (-4)/(-6) + 180/(-27)? -6 (-3)/9 - 20/(-105) -1/7 What is (1/(-1))/(4/12) + 4? 1 What is the value of -1 - 6*3/(-42)? -4/7 What is the value of 27/78 + (66/12)/(-11)? -2/13 What is the value of 2*((-405)/(-18))/(-9)? -5 What is the value of 0 - (2/(-8) + (-55)/20)? 3 Evaluate (-3 + 5 + -2)/((-2)/2). 0 What is (7/28*8)/(8 + -2)? 1/3 What is the value of 8 + -10*1*(-23)/(-46)? 3 What is 2/11 + 0 + (-27)/88? -1/8 Calculate ((-15)/12)/((-4)/(-16)). -5 (-49)/105 + ((-50)/15)/10 -4/5 Evaluate 92/414 - (-8)/(-198). 2/11 Calculate ((-20)/250)/((-2)/10). 2/5 What is the value of 35/7 + (-30)/15? 3 What is the value of 1*(-12)/9 - (-1)/1? -1/3 What is the value of (-43)/(-9) + (8 - (0 + 13))? -2/9 What is 16/36 - 20/45? 0 Evaluate (-2)/(-5) - (-2 + (-185)/(-25)). -5 What is the value of (-2)/2*((-52)/(-24))/13? -1/6 Evaluate 24/(-3)*(-30)/60. 4 What is the value of (-35)/154*(192/(-30))/8? 2/11 ((7 + -1)/(-1))/(25/(-5)) 6/5 Calculate 0 + 41/(-85) - 9/(-15). 2/17 Calculate (-8 - -4) + ((-4)/(-2))/(-1). -6 Calculate (21/(252/(-32)))/(1/(-3)). 8 What is the value of (-24)/14 - 52/182? -2 Evaluate ((-14 - -11) + 2)/((-1)/4). 4 108/(-81) + 2/6 -1 (5/6)/(14 + 1360/(-96)) -5 What is 111/(-37) - 18/(-8)? -3/4 Evaluate 25/(-15)*((-16)/30)/4. 2/9 Calculate 1*((-4)/6 - -1). 1/3 What is (78/91)/(4/28)? 6 1/4 - 676/(-112) - 6 2/7 Calculate (-4 - 20/(-10))/((-4)/(-18)). -9 What is (-16)/(-48)*(-4 - -6)? 2/3 (16/252)/1 - (-8)/36 2/7 What is 0*(-4)/16 + (-24)/32? -3/4 What is the value of (-364)/84 - (-1)/3? -4 Calculate ((-1)/(-5))/(20/25). 1/4 What is (-16)/(-6) - -2 - (-99)/297? 5 Calculate 81/(-5643) - (-2)/19. 1/11 17/36 + 2/(-8) 2/9 Calculate (-4)/16 + (-30)/168. -3/7 Evaluate 110/140 + -1 - 2/7. -1/2 What is the value of (2 - 11)/((-42)/12 - -2)? 6 What is the value of -24 + 16 - 76/(-8)? 3/2 (-60)/560 + 2/(-14) -1/4 Calculate (-9 - -14) + (-52)/10. -1/5 Calculate (-8)/12 - (-1)/(66/32). -2/11 -3*(160/(-24) + 7) -1 Calculate 57 + -54 - (-5 - -1). 7 Calculate (159 - 160)*(-8)/(-2). -4 Evaluate (1/(-4))/(-8 + (-136)/(-16)). -1/2 What is 28/63*6/4? 2/3 What is the value of 6/4*(-5 + 296/56)? 3/7 0/(1/((-4)/(-16))) 0 Evaluate (5 + (-42)/12)*16/(-6). -4 (1/(-8))/(57/(-304)) 2/3 Evaluate (-230)/(-210) + 0 + -1. 2/21 What is the value of (-11)/7*-7 + -8? 3 14/(-6) + ((-2)/3 - 0) -3 What is the value of 6/10*((-56)/12 - -5)? 1/5 What is (0/9 - 36/(-14)) + -3? -3/7 What is the value of (0 - -2)*(-1 - (-21)/14)? 1 (-33)/39 + 3 + 4/(-26) 2 What is 2/15 + 5676/1980? 3 1*(-1)/(-1) + 17/(-17) 0 Evaluate (36 - 39) + 7*1. 4 (1/2)/(-9*(-13)/1404) 6 Calculate (-4)/(-6)*8*6/8. 4 1*(-3 - (-3 - 1)) 1 What is the value of (-14)/(-4) + (-20)/(-40)? 4 Evaluate 2 - (21/4 - 3). -1/4 Evaluate 13 + 532/(-95) - 14/10. 6 What is the value of ((-3)/6)/((-4)/(-32))? -4 -1 + (1 - (4 - 5)) 1 Calculate -3 + -7 + (-23 - -30). -3 (-4 - -4) + (-36)/6 -6 Evaluate (145/87 + (-29)/3)/(-10). 4/5 Evaluate
{ "pile_set_name": "DM Mathematics" }
derivative of a(t) wrt t? 10*t Let w be (-4)/(-20) - 2/10. Let a(k) be the first derivative of -k**2 + w*k**3 + 1/4*k**4 + 0*k + 1. What is the second derivative of a(i) wrt i? 6*i Let g be 7/5 - (2 + -1). Let i(y) be the first derivative of -1 + y**2 + 0*y + g*y**5 + 0*y**4 + 0*y**3. What is the second derivative of i(h) wrt h? 24*h**2 Let q(i) = 10*i**3 - i**2 - 4*i + 1. Let z(s) = s**3 - s**2 + 1. Let m(b) = q(b) - z(b). What is the second derivative of m(p) wrt p? 54*p Let n(t) be the second derivative of -2*t + 0*t**3 - 1/6*t**4 + t**2 + 0. What is the derivative of n(k) wrt k? -4*k Let b(r) be the third derivative of -3*r**2 + 0*r**6 - 1/210*r**7 + 0*r**5 + 0 - 1/2*r**3 + 0*r + 0*r**4. Differentiate b(s) wrt s. -4*s**3 Find the first derivative of 0*b**2 + 0*b**2 - 35 - 73*b**4 + 69*b**4 wrt b. -16*b**3 Suppose -5 = -2*g + 5. Suppose -2*w - 2*w - 1 = 3*u, -5*w = -u - 13. What is the second derivative of w*z + 0*z - z**4 - g*z + z wrt z? -12*z**2 Let n be 2/(-9) - 261/(-81). Differentiate 5*d**3 + 5*d**3 - 8*d**3 - n wrt d. 6*d**2 Let t(n) = 79*n**3 + 7*n**2 - 70*n. Let d(c) = -53*c**3 - 5*c**2 + 47*c. Let p(m) = 7*d(m) + 5*t(m). Find the second derivative of p(o) wrt o. 144*o Differentiate 2 + 3 - 8*y - 8*y + 8*y with respect to y. -8 Let g = -3 + 8. Find the second derivative of -o**5 - o**5 + o**5 + 2*o**g - 7*o wrt o. 20*o**3 Let d(m) be the second derivative of 0*m**6 + 0 - 1/42*m**7 + 0*m**3 + 0*m**5 - 1/12*m**4 + 0*m**2 - 2*m. What is the third derivative of d(x) wrt x? -60*x**2 Let b(c) be the second derivative of -c**3/3 + 2*c**2 - 2*c. Let z(a) = 6*a - 11. Let l(k) = -8*b(k) - 3*z(k). What is the first derivative of l(f) wrt f? -2 Find the third derivative of n**4 + 0*n**2 + n**2 + 4*n**2 wrt n. 24*n Suppose -3*v + 9*v = 0. Let u(k) be the first derivative of 0*k**4 + 0*k**3 + 1 + v*k - k**2 - 1/5*k**5. Find the second derivative of u(o) wrt o. -12*o**2 Let l(r) be the second derivative of 2*r**2 + r + 0*r**5 + 1/10*r**6 + 0*r**4 + 0 + 0*r**3. Differentiate l(m) with respect to m. 12*m**3 Let r(m) = -2*m**4 + 3*m**3 - 10*m**2 + 3*m - 3. Let u(q) = q**4 + q**3 + q - 1. Let k(i) = -r(i) + 3*u(i). Find the third derivative of k(l) wrt l. 120*l Suppose 0 = -5*j + 3*g + 22, 2*j - 5*j - 4*g + 19 = 0. Find the second derivative of 3*d + d**j + 2 - 2 - 2*d wrt d. 20*d**3 Let z(q) = -q**3 + 3*q**2 + 3*q - 2. Let c be z(2). What is the third derivative of -5*o**2 + c*o**2 + o**6 + 2*o**6 wrt o? 360*o**3 Let y(p) = -p**2 + p + 1. Let d be 10/15 + (-1)/(-3). Let k(x) = -x**3 - 6*x**2 + 7*x + 6. Let b(s) = d*k(s) - 6*y(s). Find the second derivative of b(w) wrt w. -6*w Let w(k) be the third derivative of -k**4/3 + k**3/2 + 2*k**2. Differentiate w(c) wrt c. -8 Let b(m) be the first derivative of -m**6/180 + m**4/12 + m**3 + 2. Let v(l) be the third derivative of b(l). What is the derivative of v(x) wrt x? -4*x Let u be (-2)/(-2) + 1 + 1. Let y be (-2)/4 + 5/2. Find the third derivative of 2 - y + l**4 + u*l**2 wrt l. 24*l Let n(x) = x**2 - 11*x + 4. Let j(c) = c**2 - 12*c + 5. Let z(q) = 4*j(q) - 5*n(q). Find the second derivative of z(m) wrt m. -2 Let z(a) be the first derivative of 2*a**6/3 - 2*a**2 - 6. Find the second derivative of z(u) wrt u. 80*u**3 Suppose -4*l + 2*l = -20. Suppose 2 + l = 2*s. Find the third derivative of -s*x**6 + x**6 - 2*x**2 + 3*x**6 wrt x. -240*x**3 Let w(g) be the third derivative of -3*g**4/8 - 5*g**3/3 - 6*g**2. Differentiate w(a) wrt a. -9 Suppose 9 = 4*q - q. Find the second derivative of -t**3 - 2*t**3 - 2*t + 4*t**q wrt t. 6*t Let n(o) = o**2 - 4*o. Let m be n(5). What is the derivative of -3*w**3 + 33*w - 33*w - m wrt w? -9*w**2 Suppose 2*u + 2*u - 52 = 0. What is the second derivative of 3*n**3 + 9*n + 7*n - u*n wrt n? 18*n Let i(o) = -o**2 - 4*o - 3. Let x be i(-2). Let n = x - -4. Find the second derivative of 3*j**5 + 2*j - 3*j**n - j**5 wrt j. -20*j**3 Suppose 2*l + 8 = 4*l. What is the third derivative of -2*m**2 - 5*m**3 - m**2 + l*m**3 wrt m? -6 Let v(x) = -3*x**3 + x**2 + 2*x + 1. Let r be v(-1). Let q be 4/3*r/2. Find the second derivative of 3*l**q - 2*l + 0*l**2 + 0*l + 0*l wrt l. 6 Let k(i) = 7*i - 2. Let x(t) = -7 + 1 + 20*t + 0. Let v(l) = -11*k(l) + 4*x(l). Differentiate v(q) with respect to q. 3 Let n(j) be the second derivative of 1/3*j**3 + 3*j - 1/20*j**5 + 0*j**2 + 0*j**4 + 0. What is the second derivative of n(b) wrt b? -6*b Let g(s) be the second derivative of 3*s + 3/10*s**6 + 0 + 0*s**5 + 5/2*s**2 + 0*s**4 + 0*s**3. Find the first derivative of g(t) wrt t. 36*t**3 What is the first derivative of 6 - 5 + 0 + 7*v**2 - 7 wrt v? 14*v Let y = 15 + -10. What is the third derivative of -3*j**2 - 4*j**5 - j**y + 5*j**2 wrt j? -300*j**2 Let s(p) = -2*p**4 + 7*p**3 + 7*p**2 + 14*p. Let v(m) = -m**4 + 3*m**3 + 3*m**2 + 7*m. Let g(z) = 3*s(z) - 7*v(z). What is the second derivative of g(a) wrt a? 12*a**2 Suppose 0 = 5*x - 5*b, -5*x + 2*b + 20 - 5 = 0. Find the second derivative of 0*w + w + 3*w - w + w**x wrt w. 20*w**3 Let w = 28 - 20. Suppose -w = -5*r + 7. Find the third derivative of -n**2 + n**r + 3*n**3 - 2*n**3 wrt n. 12 Let s(t) be the second derivative of 2*t**7/105 - t**4/12 - t**2 - 3*t. Let p(q) be the first derivative of s(q). Find the second derivative of p(o) wrt o. 48*o**2 Suppose 4*i - i - 14 = -5*o, -3*o = -5*i + 12. Suppose o = -4*f + r, 5*r - 13 = 3*f + 9. Find the first derivative of 3*j**2 - j**2 - 4*j**2 + 2 - f wrt j. -4*j Find the first derivative of 2*y**2 + 3*y**2 - 5 - 6*y**2 wrt y. -2*y Suppose 11 = 2*p - m, -2*p - 2*m = -p - 13. Let y = 12 - p. What is the second derivative of -r + r**5 + r**y + 2*r wrt r? 40*r**3 Let k(r) be the third derivative of r**7/42 - r**5/10 + 7*r**2. What is the third derivative of k(w) wrt w? 120*w Let t(g) = -64*g**2 + 126*g + 16. Let f(q) = 13*q**2 - 25*q - 3. Let l(u) = -16*f(u) - 3*t(u). What is the second derivative of l(d) wrt d? -32 Let w(x) be the second derivative of -x**5/10 - x**4/3 + 4*x. What is the third derivative of w(d) wrt d? -12 Let w(j) = j**3 + 2*j**2 - 3*j + 4. Let n be w(-3). Find the third derivative of 4*k**2 - 2*k**2 + n*k**2 - 3*k**2 - 6*k**3 wrt k. -36 Let p(m) = m**3 - m**2 - m + 5. Suppose 3*t = -2*j, -j + 2*t = -4*j. Let r be p(j). Find the second derivative of -2*n + n**3 + r*n - 4*n**3 wrt n. -18*n Let p(u) be the first derivative of u**4 + 11*u**2 + 13. Find the second derivative of p(x) wrt x. 24*x Let i(h) = 41*h**2 - 5*h + 41. Let o(z) = -62*z**2 + 7*z - 61. Let x(j) = -7*i(j) - 5*o(j). What is the first derivative of x(a) wrt a? 46*a Suppose 0*h = -h + 2. What is the third derivative of -3*w**2 + 2*w**6 + h*w**2 - w**6 + 5*w**2 wrt w? 120*w**3 Let t be 2*-1*(-27)/18. What is the third derivative of 3*q**2 + t*q**4 - 3*q**4 + 2*q**4 wrt q? 48*q Let x(p) be the second derivative of 0*p**2 + 0*p**4 + 11/6*p**3 - 4*p + 0*p**5 - 1/30*p**6 + 0. What is the second derivative of x(y) wrt y? -12*y**2 What is the second derivative of -25 + 2*z**3 + 12*z + 25 wrt z? 12*z Let l(v) be the second derivative of 7*v**6/30 - 5*v**4/12 - 8*v. What is the third derivative of l(t) wrt t? 168*t Let q(r) be the first derivative of -4*r**5/5 - 3*r**3 + 6. Find the third derivative of q(y) wrt y. -96*y Suppose 2*v + 0 = 6. Suppose -x = v*x - 16. What is the derivative of 2 + 7*o - 7*o - 3*o**x wrt o? -12*o**3 Suppose 0 = -6*s + 10*s. What is the third derivative of t**2 + s*t**2 + 4*t**4 - 2*t**2 - 10*t**4 wrt t? -144*t Let b(g) be the second derivative of 5*g**4/12 + 2*g**3/3 - 9*g. Find the second derivative of b(p) wrt p. 10 Let b(j) = j**4 + j**3 + j**2 - j. Let v(z) = -8*z**4 + 5*z**3 + 5*z**2 - 8*z. Let n(x) = 5*b(x) - v(x). What is the second derivative of n(p) wrt p? 156*p**2 Let x = 9 + -14. Let b(y) = 6*y**2 + 7*y + 5. Let s(t) = 5*t**2 + 6*t + 4. Let h(a) = x*s(a) + 4*b(a). Find the second derivative of h(w) wrt w. -2 Suppose 2*d + d = 2*r + 7, -d = -5*r + 15. Let q be ((-2)/r)/(2/(-28)). What is the third derivative of -q*l**6 + 3*l**6 - 3*l**2 + 3*l**6 wrt l? -120*l**3 Find the third derivative of 5*h**2 - 31*h**3 + 31*h**3 - 6*h**5 wrt h. -360*h**2 Let u(o) be the second derivative of 9*o**3/2 - 7*o**2 - 23*o. What is the first derivative of u(n) wrt n? 27 Suppose 15 = 3*o - 0*o. What is the second deri
{ "pile_set_name": "DM Mathematics" }
18, -3*c - 6 = -3*b - 5*c. Find the second derivative of 3*y + 0*y + 3*y**b - 3*y**4 - 3*y**4 wrt y. -36*y**2 Let y(f) be the third derivative of 4*f**5/5 - 23*f**4/12 - 13*f**2. What is the second derivative of y(c) wrt c? 96 Let o(n) be the third derivative of -3*n**6/40 + n**5/60 + 31*n**4/24 - 12*n**2 - 1. Find the second derivative of o(i) wrt i. -54*i + 2 Let p = 12 - 9. What is the third derivative of -9*s**2 + 4*s**2 - 3*s**3 - s**p wrt s? -24 Let s be (-8)/(-5) - (-12)/30. Let h(m) be the first derivative of s - 2*m + 1/2*m**2. Find the first derivative of h(w) wrt w. 1 Let y(l) be the third derivative of l**7/280 + 3*l**5/40 + l**3/2 + 2*l**2. Let v(c) be the first derivative of y(c). Find the second derivative of v(r) wrt r. 18*r Let c(a) be the second derivative of 3*a**5/10 + a**2/2 + 3*a. Differentiate c(h) with respect to h. 18*h**2 Let f(w) be the first derivative of -w**6/30 - w**3/3 - w - 3. Let m(b) be the first derivative of f(b). What is the second derivative of m(n) wrt n? -12*n**2 Let l(d) be the second derivative of -d**6/3 - 4*d**2 + 8*d. What is the derivative of l(r) wrt r? -40*r**3 What is the third derivative of 31 + 4*h**5 - 56 - 14*h**2 + 25 wrt h? 240*h**2 Let x(d) be the third derivative of -d**7/840 - d**4/12 + d**3/6 + 3*d**2. Let p(v) be the first derivative of x(v). Differentiate p(c) with respect to c. -3*c**2 Suppose -4*m + 0*m + 16 = 0. Suppose m*j = 4 + 8. Find the third derivative of l**2 - l**4 + j*l**4 - l**4 wrt l. 24*l Find the second derivative of 15*z**4 - 5*z - 4*z**4 + z**4 + 5*z**4 wrt z. 204*z**2 Let u(w) = -19*w**3 - 41*w**2 - 6*w + 6. Let c(y) = -18*y**3 - 40*y**2 - 5*y + 5. Let q(g) = 6*c(g) - 5*u(g). What is the third derivative of q(a) wrt a? -78 Let g(r) = 6*r**3 - 52*r**2 - 5*r - 60. Let d(l) = -l**3 - l**2 + l - 1. Let z(h) = -5*d(h) - g(h). Find the first derivative of z(p) wrt p. -3*p**2 + 114*p Let u(t) = 4*t**4 - 3*t**2 + 2*t + 2. Let x(f) = -f**2 + f + 1. Let r(b) = -u(b) + 2*x(b). What is the third derivative of r(l) wrt l? -96*l Let d(s) be the second derivative of 0*s**3 + 0 + 0*s**4 - 2*s**2 + 1/10*s**5 - 5*s. What is the first derivative of d(r) wrt r? 6*r**2 Let r = 71 - 47. Let l be (-1)/(r/9 - 3). Find the second derivative of l*o**4 + 2*o - 2*o - 2*o - 7*o**4 wrt o. -48*o**2 Let j(d) be the third derivative of d**6/15 + d**4/2 + 11*d**2. Find the second derivative of j(n) wrt n. 48*n Let w(t) be the first derivative of t**5/20 - 4*t**2 + 10*t - 6. Let c(z) be the first derivative of w(z). Find the first derivative of c(f) wrt f. 3*f**2 Let s(p) = 65*p**3 - 78*p**2 + 78*p + 26. Let o(v) = -v**3 + v**2 - v. Let l(m) = 78*o(m) + s(m). Differentiate l(j) with respect to j. -39*j**2 Let s(w) = 5*w**2 + 16*w - 3. Let c(l) = l**2 - l + 1. Let i(t) = -3*c(t) - s(t). Find the second derivative of i(v) wrt v. -16 Let c(r) be the third derivative of 1/24*r**4 + 0*r + 0 + 2*r**2 + 0*r**5 + 1/40*r**6 + 0*r**3. What is the second derivative of c(d) wrt d? 18*d What is the third derivative of -w**2 + 16*w**4 - 14*w**4 - 6*w**2 wrt w? 48*w What is the first derivative of 10*r**4 - 5*r**2 - 11 + 3*r**2 + 2*r**2 wrt r? 40*r**3 Let r(g) = g**5 - g - 1. Let d(x) = 10*x**6 - 5*x**5 + 17*x**2 + 5*x + 5. Let w(o) = d(o) + 5*r(o). Find the third derivative of w(c) wrt c. 1200*c**3 Let l(x) = -21*x**3 - 11*x**2 + 86*x. Let o(j) = -4*j**3 - 2*j**2 + 17*j. Let i(g) = 2*l(g) - 11*o(g). Find the second derivative of i(v) wrt v. 12*v Let p = 0 + -2. Let b be (0/3 - p) + 2. What is the third derivative of -d + d**b + d - 2*d**2 wrt d? 24*d Let c(y) be the second derivative of 1/10*y**5 + 3*y + 0*y**4 + 0*y**3 + 1/2*y**2 + 0. Find the first derivative of c(t) wrt t. 6*t**2 Let r be 4/4 + -2 - -7. Let u(v) = -1. Let a(q) = 3*q - 3. Let z(j) = r*u(j) - a(j). Differentiate z(h) wrt h. -3 Let i(z) = 12*z**5 - z**4 - z**3 + 10*z**2 - z + 1. Let y(a) = -a**4 - a**3 - a + 1. Let h(o) = i(o) - y(o). What is the third derivative of h(k) wrt k? 720*k**2 Let j(m) = m - 3. Let h be j(6). Suppose 4*a = -12, s + 3*a = h - 6. Find the third derivative of 3*c**2 - 2*c**6 - 2*c**2 + 0*c**s wrt c. -240*c**3 Let u(v) be the third derivative of 0*v - 3*v**2 + 5/24*v**4 + 0*v**3 + 0 - 1/10*v**5. What is the second derivative of u(m) wrt m? -12 Suppose o = 5*o - 3*a - 4, -o + 5*a - 16 = 0. Differentiate -2 + 3*c**2 + o + 4 + 2*c**2 wrt c. 10*c Let s(q) be the third derivative of 0*q**6 + 0*q - q**2 + 0 + 1/35*q**7 + 0*q**5 + q**3 + 0*q**4. Differentiate s(v) with respect to v. 24*v**3 Let l(u) be the first derivative of u**5/30 + 7*u**4/24 + u**2/2 + 6. Let p(v) be the second derivative of l(v). Find the second derivative of p(b) wrt b. 4 Let f(a) be the second derivative of -7*a**3/2 + 10*a**2 - 30*a + 1. Differentiate f(x) wrt x. -21 Let u(y) be the second derivative of -3*y**5/4 - 17*y**2/2 - 8*y. Differentiate u(x) wrt x. -45*x**2 Let i(p) = 21*p**4 + 6*p - 20. Let d(c) = -42*c**4 - 13*c + 41. Let a(o) = -6*d(o) - 13*i(o). What is the first derivative of a(x) wrt x? -84*x**3 Let w(c) = 2*c - 10. Let s be w(7). What is the third derivative of -4 + 4*f**2 - 2*f**s + 5*f**4 + 4 wrt f? 72*f Let n(h) = 4*h - 14. Let r be n(4). What is the derivative of 102*v**3 - 102*v**3 + r*v**4 + 5 wrt v? 8*v**3 What is the second derivative of h + 51*h**2 - 3*h - 1 + 8*h + 42*h wrt h? 102 Let t(j) = -8*j**5 - 4*j**3 - j + 4. Let z(y) = 8*y**5 + 3*y**3 - 3. Let q(p) = 3*t(p) + 4*z(p). Find the second derivative of q(m) wrt m. 160*m**3 Let f(z) = z**2 + 3*z + 3. Let d be f(-2). Suppose 2*v = 3*v - d. What is the first derivative of v + 4 - 3 + s**2 wrt s? 2*s Let f be (-10)/(-6) + 2/6. What is the third derivative of -2*o**4 - 2*o**2 - 2*o**2 + 2 - f wrt o? -48*o Let h(b) be the third derivative of -b**5/30 + b**3/2 - 2*b**2. Differentiate h(u) wrt u. -4*u Let i(j) = -j**3 - 5*j**2 - 4*j + 4. Let t be i(-4). What is the derivative of 1 - 4 - 3 + 4 - o**t wrt o? -4*o**3 Let m(z) be the first derivative of 16*z**3/3 - 17*z + 16. What is the first derivative of m(h) wrt h? 32*h Let y(j) be the third derivative of 2*j**8/21 - j**4/4 - 26*j**2. Find the second derivative of y(b) wrt b. 640*b**3 Let k(a) = -a - a**2 + 4*a**2 - 2*a**2. Let b(r) = -2*r**2 + 2*r. Let d be 102/(-27) - 2/9. Let y(u) = d*k(u) - b(u). Find the second derivative of y(h) wrt h. -4 Let q(n) = -77*n**3 + 55*n - 9. Let t(u) = 19*u**3 - 14*u + 2. Let z(j) = -2*q(j) - 9*t(j). What is the second derivative of z(y) wrt y? -102*y Let h(i) = -2*i**2 + 3. Let o be h(0). Differentiate -3*d**o - 8*d**3 - 8 + 12*d**3 with respect to d. 3*d**2 Suppose 0*a - 15 = -3*a. Find the second derivative of 3*j**4 + 17*j**a - 14*j**5 + 2*j - 3*j**4 wrt j. 60*j**3 Let l(d) = -41*d**3 + 24*d**2 + 4. Let f(h) = 81*h**3 - 47*h**2 - 7. Let s(w) = -4*f(w) - 7*l(w). Find the third derivative of s(x) wrt x. -222 Suppose -14 - 11 = -5*d. Let c = d - 3. Find the third derivative of 4*a**3 + 2*a - a**c + 3*a - 5*a wrt a. 24 Find the third derivative of -8*d**5 - 3*d**2 - 6 + 6 wrt d. -480*d**2 Let h be ((-30)/25)/(2/(-10)). Let k = h + -4. What is the third derivative of -j**2 - 3*j**k + j**2 + 2*j**6 wrt j? 240*j**3 Let n = 25 + -17. Let x = -7 + n. What is the first derivative of x - 2*k**4 - 2 + 2 wrt k? -8*k**3 Find the third derivative of 47*z**2 + 73*z**2 - 102*z**2 + 2*z**3 - 30*z**4 - 2*z wrt z. -720*z + 12 Let c(p) = 6*p**5 + 3*p**3 + 2*p - 3. Let u(l) = 5*l**5 + 2*l**3 + 2*l - 2. Let j(d) = 2*c(d) - 3*u(d). Find the second derivative of j(k) wrt k. -60*k**3 What is the third derivative of 2*w**2 - 33*w**4 + 41*w**4 + 0*w**2 wrt w? 192*w Let q(b) be the second derivative of -b**8/8 + b**4/12 - 7*b. Find the third derivative of q(y) wrt y. -840*y**3 Suppose -5*f = 4*c - 28, -2*f + 3*f = 2*c. What is the second derivative of -2*x + x - 9*x + 2*x - c*x**5 wrt x? -40*x**3 What is the third derivative of 153*o**4 + 4*o**2 - 153*o**4 + 3*o**6 wrt o? 360*o**3 Let a(n) be the first derivative of 3*n**8/56 + n**4/6 - 2*n - 2. Let k(r) be the first derivative of a(r). What is the third derivative of k(h) wrt h? 360*h**3 Let i be 2/(-5) + 2/5. Suppose i*o + 6 = 3*o. What is the third derivative of -2*d**6 + 4 - 4 + d**o wrt d? -240*d**3 Let s(t) be the first derivative of 7*t**6/6 + 4*t**3/3 - 1. What
{ "pile_set_name": "DM Mathematics" }
+ 3. What is b*w(y) + 6*u(y)? -2*y**3 + 3 Let w(m) = m**2 - 15*m - 13413. Let n(b) = -b**2 + 21*b + 20118. Give 5*n(t) + 7*w(t). 2*t**2 + 6699 Let m(q) = -45*q + 32. Let i(s) = 31*s - 25. Let z(h) = 13*i(h) + 10*m(h). Let l(u) = 47*u + 6. What is -4*l(w) - 5*z(w)? 47*w + 1 Let w(y) = 26*y + 5. Let h(d) = 25*d + 4. Suppose -3*c - 16 = -64*x + 69*x, -2*c = -x + 2. Give x*w(p) + 3*h(p). 23*p + 2 Let j(k) be the first derivative of 5*k**2 + 4/3*k**3 + 3 - 7*k. Let v(z) = 3*z - 139 - 4*z**2 - 6*z + 275 + 3*z**2 - 134. Calculate 2*j(u) + 7*v(u). u**2 - u Let l(a) = 10*a**3 + 76*a + 6. Let b(q) = 31*q**3 + 227*q + 16. Calculate 3*b(n) - 8*l(n). 13*n**3 + 73*n Let a(z) = -1096*z**3 - 10*z**2 - 10*z + 10. Let s(y) = 240024*y**3 + 2192*y**2 + 2192*y - 2192. Calculate 1096*a(q) + 5*s(q). -1096*q**3 Let l(t) = 6349*t**2 - 5. Let y(v) = 930128*v**2 - 732. What is -732*l(o) + 5*y(o)? 3172*o**2 Let p(n) = -9*n**2 - 5*n + 24. Let b(y) = y - 4. Determine b(m) + p(m). -9*m**2 - 4*m + 20 Let l(z) = -5*z**2 + 2*z**3 + 23*z - 18*z - 13*z - 5. Let b(h) = -7*h**2 - 10*h - 2*h + 3*h**3 + 587 - 594. What is 5*b(g) - 7*l(g)? g**3 - 4*g Let p(f) be the first derivative of -10*f**3/3 - 1. Suppose 3*v - 23 = -5. Let c(n) be the first derivative of 3*n**3 - 46087. What is v*c(t) + 5*p(t)? 4*t**2 Let k = -19085 + 19090. Let i(f) = -3*f**2 - 6. Let x(j) = -9 - 3 - 1 - 7*j**2 + 0. Determine k*i(b) - 2*x(b). -b**2 - 4 Let p(f) = 101*f**2 + 2*f**2 - 102*f**2. Let l(g) = -2*g**3 + 8*g**2. Suppose -3*k + 4*k + 35 = -4*j, 5*j - 3*k = -31. Calculate j*p(c) + l(c). -2*c**3 Let z(u) = 3*u**3 + u**2. Suppose 158*g - 153*g + 30 = 0. Let d(m) = 238*m**2 - 114*m**2 - 123*m**2 + 4*m**3. Let v be 10*-1*(-2)/4. Determine g*z(c) + v*d(c). 2*c**3 - c**2 Let w = -15113 - -15106. Let p(f) = 3*f**3 - 7*f + 96. Let a(x) = -2*x**3 + 5*x - 64. Give w*a(k) - 5*p(k). -k**3 - 32 Let i(l) = -l**2 - 19. Let q(h) = 9*h**2 + 5*h + 93. Let o(m) = -m**2 - m - 7. Let j(y) = 5*o(y) + q(y). What is 7*i(f) + 2*j(f)? f**2 - 17 Let t(b) = -83*b + 10*b + 37*b - 14*b**2 + 36*b. Let m(k) = 209*k**2. Give 3*m(p) + 44*t(p). 11*p**2 Let k(i) = -i**3 - i**2 + i - 4. Let z(r) = 9 - 3029*r**2 + 6059*r**2 + 3*r - 4*r + 3*r**3 - r - 3028*r**2. Give -5*k(w) - 2*z(w). -w**3 + w**2 - w + 2 Let b(l) = -327*l + 2. Let a(u) = -173*u. Calculate 13*a(o) - 6*b(o). -287*o - 12 Let r(p) = -7*p + 4. Let x(s) = 0 + 0 - 1 + s. Let h = 124 + -122. Suppose 16*q - h = 14. Calculate q*r(f) + 6*x(f). -f - 2 Let l(m) = 266*m**2 + 56*m - 56. Let c(n) = 13 + 11 - 42 - n + 4*n + 14*n**2 + 15. What is -56*c(p) + 3*l(p)? 14*p**2 Let t = -248 - -142. Let j = 108 + t. Let c(d) = -3605*d**2 + d + 2 + 3604*d**2 - j*d. Let w(y) = -6*y**2 - 6*y + 11. Calculate -22*c(p) + 4*w(p). -2*p**2 - 2*p Let z = -405 + 416. Let s(c) = 33 - 22 - z + c**3 + c**2 - c. Let u(p) = 4*p**2 - 2*p**3 + p**3 - 6*p + 5*p**3. What is 6*s(q) - u(q)? 2*q**3 + 2*q**2 Let k(j) = 65*j - 6. Let y(v) = 13*v - 1. Suppose -197*u + 397*u - 800 = 0. Determine u*k(m) - 22*y(m). -26*m - 2 Let t(j) = -59*j**2 - 23 - 54 + 1 + 75*j**2. Let d(y) = -3*y**2 + 15. What is -11*d(q) - 2*t(q)? q**2 - 13 Let p(q) = 3*q**2 - 3*q + 6. Suppose 11*o = 388 + 580. Suppose 30*s = 22*s + o. Let b(d) = 16*d**2 - 16*d + 31. What is s*p(i) - 2*b(i)? i**2 - i + 4 Let v(o) = -17*o**3 + 5*o**2 - 7*o. Let b be (130/208)/(1/(-8)). Let u(x) = -x**2 + x. Calculate b*u(t) - v(t). 17*t**3 + 2*t Let w(s) = 17*s + 1743. Let q(m) = 10*m + 870. Calculate 5*q(u) - 3*w(u). -u - 879 Let x(m) = -9*m**2 - 6*m + 7. Let a(r) = -5*r**2 - 8*r + 8. Give -7*a(h) + 8*x(h). -37*h**2 + 8*h Let t(c) = -c**3 - 13*c**2 + 16*c - 206. Let m be t(-15). Let k(h) = 4*h**3 - h**2 - 4*h. Let o(l) = -5*l**3 + l**2 + 5*l. Give m*k(p) + 3*o(p). p**3 - p**2 - p Let z(n) = -4*n + 613010*n**3 - n**2 + 4 + 6*n - 613005*n**3. Let l(m) = 4*m**3 - m**2 + m + 5. Calculate 3*l(h) - 2*z(h). 2*h**3 - h**2 - h + 7 Let g(m) = -114*m**2 + 754*m + 78. Let t(h) = 26*h**2 - 174*h - 18. Calculate -8*g(j) - 35*t(j). 2*j**2 + 58*j + 6 Let w(f) = -7*f - 6. Let q(s) = 21*s + 39. Let m(o) be the first derivative of -5*o**2 - 18*o - 39. Let z(l) = -9*m(l) - 4*q(l). Determine 4*w(v) + 5*z(v). 2*v + 6 Let x(u) = -6 + 5 + 5*u + u - 4. Let t(n) = n - 1. Let j(y) = 2*t(y) + x(y). Let s(b) = 7*b - 6. Let f be 9 - (3 + (-4)/(-4)). Determine f*s(d) - 4*j(d). 3*d - 2 Let v(r) be the first derivative of 11*r**3/3 - 5*r + 4410. Let g(a) = a**2 - 1. Determine 6*g(l) - v(l). -5*l**2 - 1 Let h(v) = 5*v - 3. Let j = 22 + -8. Let w(n) = -j - 21*n + 84*n - 39*n. Suppose 5*l - 17 = -4*u + 3*u, 0 = -u - l + 1. What is u*w(b) + 14*h(b)? -2*b Let k(y) = 3*y**3 + 4*y**2 - 1. Suppose 0 = 3*c - 4*f - 101 + 110, -6*c = -f + 18. Let z(v) = -6*v**3 - 8*v**2 + 2. Calculate c*z(t) - 7*k(t). -3*t**3 - 4*t**2 + 1 Suppose 0 = -3*o - 2*w + 5*w + 126, 3*w - 94 = -2*o. Let v(j) = -22*j - 3. Let d(s) = 330*s + 44. Determine o*v(y) + 3*d(y). 22*y Let o(m) = -8*m**3 + 10*m**2 + 42. Let h(g) = 2*g**2 - 3. Give 5*h(y) - o(y). 8*y**3 - 57 Let b(s) = -3*s - 2. Let c(g) = -46*g - 2317. Give 15*b(y) - c(y). y + 2287 Let s(u) = -u - 4 + u**2 + 3 + 0*u**2 + 0*u**2. Let f(m) = 2 - 1 + 5*m - 8*m**2 + 4. Let l(h) = 19*h + 343. Let a be l(-18). Calculate a*f(t) + 5*s(t). -3*t**2 Let b(p) = -37*p - 148. Let i(f) = -65. Let c(u) = 779. Let n(d) = c(d) + 12*i(d). Determine -b(l) + 148*n(l). 37*l Let x(i) be the second derivative of -4*i**3 - 14*i - 12. Let p(a) = -4*a. Determine -28*p(w) + 4*x(w). 16*w Let c(f) = -10*f**3 + 17*f**2 - 96*f + 28. Let u(s) = -6*s**3 + 8*s**2 - 48*s + 16. Give -4*c(a) + 7*u(a). -2*a**3 - 12*a**2 + 48*a Let m(z) = z**2 - z + 1. Let n(s) = -448 + 438 + 0*s**3 + 11*s + 6*s**3 - 14*s**2 + 0*s - 5*s**3. Calculate -22*m(v) - 2*n(v). -2*v**3 + 6*v**2 - 2 Let l(k) = -2*k + 6. Let n(g) = -131*g + 36. What is -6*l(o) + n(o)? -119*o Let r(o) = 154*o + 3. Let v(j) = 2*j. Give r(i) + 5*v(i). 164*i + 3 Let h(v) = -5*v**2 - 3*v - 5. Let s(u) = 2*u**2 + u + 2. Let c(m) = -3*h(m) - 8*s(m). Let w(d) = 3*d**3 + 2*d**2 - 2*d + 5. Determine -2*c(f) - w(f). -3*f**3 - 3 Let j(s) = 10*s**2 - 24*s + 25. Let a(m) = -2*m**2 + 8*m - 8. Give -7*a(l) - 2*j(l). -6*l**2 - 8*l + 6 Let i(h) = -79*h**3 + 2*h**2 + 6*h + 10. Let d(v) = -67*v**3 + v**2 + 5*v + 9. What is -6*d(j) + 5*i(j)? 7*j**3 + 4*j**2 - 4 Let d(o) = -96*o**2 + 2*o - 3. Let x(y) = -91*y**2 + y - 2. Determine 2*d(a) - 3*x(a). 81*a**2 + a Let w(y) = -y - 44. Let f(m) = -m - 56. Calculate -5*f(a) + 4*w(a). a + 104 Let c(g) = -52848*g**3 - 432*g + 3024. Let u(h) = 857*h**3 + 7*h - 49. Calculate 7*c(b) + 432*u(b). 288*b**3 Let s(j) = -22*j - 1. Let w(n) = -177*n - 15. Let k(m) = 9*s(m) - w(m). Let r(d) = 4*d - 1. What is -4*k(t) - 22*r(t)? -4*t - 2 Let l(n) = -88*n + 349. Let v be l(4). Let q(j) = -3*j**3 + 9*j + 4 - 2*j**3 + j**2 - 3*j - 3*j. Let a(b) = b**3 - b - 1. Determine v*a(z) - q(z). 2*z**3 - z**2 - 1 Let h(f) = -5*f - 1. Let t(x) = -2*x**2 + 60*x + 522. Let g be t(37). Let z(v) = -10*v - 2. Give g*z(s) - 10*h(s). 10*s + 2 Let o(g) = g**2 - g + 4. Let q be 24/10 + -4*(-4)/(-40). Let p be 4/((-20)/(-25))*1. Let s(b) = -5 + 3 + p*b - 15 - 5*b**2. Determine q*s(i) + 9*o(i). -i**2 + i + 2 Let k(w) = 2*w**2 - 2*w - 2. Let h(q) = -q**3 - 5*q**2 - 6*q. Let t be h(-4). Let o(b) = -t*b**2 + 9*b + 4 + 3 + 6 - 4. Calculate -18*k(r) - 4*o(r). -4*r**2 Let j(w) = 317*w**3 - 6*w**2 + 3*w + 9. Let l(m) = 317*m**3 - 8*m**2 + 4*m + 12. Determine -4*j(x) + 3*l(x). -317*x**3 Let y(b) = -11*b + 69. Let o(x) = -9*x + 55. Let k(w) = 5*o(w) - 4*y(w). Let n(r) = 16*r**2 - 24*r - 24. Determine 24*k(c) - n(c). -16*c**2 Let h be 0 - -7 - -1 - 24/4. Let j(k) = -6*k**3 + 4*k + 3. Let v(p) = -13*p**3 + 8*p + 7. Give h*v(d) - 5*j(d). 4*d**3 - 4*d - 1 Let x = -49 - -148. Suppose x*n = 101*n + 50. Let g(l) = -5*l - 6. Let q(w) = 20*w + 25. Give n*g(t) - 6*q(t). 5*t Let x(q) = -7*q - 26. Let m(j) be the second derivative of j**3 + 13*j**2 + 1139*j - 3. Calculate -6*m(g) - 5*x(g). -g - 26 Let v(d) = -12264120*d + 3912. Let s(m) = -15673*m + 5. Give 3912*s(u) - 5*v(u). 7824*u Let w(d) = 4*d + 48. Suppose 0 = -111*z + 98*z - 39. Let f(a) = -9*a - 95. Give z*f(k) - 7*w(k). -k - 51 Let i(l) = 4520*l**2 + 5. Let d(m) = 2254*m**2 + 2. Determine -5*d(z) + 2*i(z). -2230*z**2 Let b(w) = -16*w - 1762.
{ "pile_set_name": "DM Mathematics" }
300, -3*t - 7393 = -3*g - t. Is g a composite number? True Is (8388 - -14)/(1 + 1) composite? False Suppose 0 = 2*m - 5*m + 6, -t - 8 = -4*m. Let l = -42 - -47. Suppose -l*i + t*i = -1655. Is i prime? True Let t = -5972 + 9403. Suppose 1 = 3*s + 13, 0 = -5*g + 4*s + t. Is g a composite number? False Suppose s - 822 = -5*n + 1629, -4*s + 1948 = 4*n. Is n a composite number? False Let z = 14 - 14. Let f(w) = -29*w**3 + z*w - 45*w**3 - 1 - w. Is f(-1) a composite number? True Suppose 0 = -2*w + 4*k + 44062, 0 = -5*w + 3*k - 4*k + 110166. Is w prime? False Let h be (-74)/(-2)*35/7. Suppose -892 - h = -k. Is k a prime number? False Suppose 122*c - 129*c = -23289. Is c a composite number? True Suppose 10 = -2*d + 18. Suppose d*n = -0*n + 12068. Is n prime? False Let q(n) = -n + 8. Suppose 3*c = 3 - 6, -c + 24 = 5*k. Let z be q(k). Suppose z*a = 3084 + 645. Is a a composite number? True Suppose 4*n + 2681 - 8439 = -2*x, -4*n + 11516 = 4*x. Is x prime? True Suppose c = -i + 86959, -i + 39743 + 47216 = -c. Is i prime? True Is (-160806)/18*(1 - 4) composite? False Let j = -635 - -1389. Let w = j - 311. Is w a prime number? True Let h = -322 + 1683. Is h composite? False Let x be 0 + 9/4 - 10/40. Suppose -x*d + 55 = w - 32, 5*w - d - 391 = 0. Is w prime? True Let x(s) = 4267*s - 14. Is x(1) prime? True Let k(f) = f**2 + 19*f + 50. Let v be k(-16). Let t(u) = 184*u + 3. Is t(v) a prime number? False Let d(z) = -295*z - 4. Suppose -t - 3*f = -14, -f = -0*t + 2*t - 3. Is d(t) prime? False Suppose -p = 2*k + 2, -6 = 3*k + 3*p - 0. Suppose -4*v + 9242 - 3334 = k. Is v prime? False Let c = 3172 - 1000. Suppose 1193 = 5*n - c. Is n a prime number? True Suppose -259784 = -5019*r + 5011*r. Is r a composite number? True Let l(w) = 186*w**2 - 14*w - 7. Is l(-6) a composite number? True Let p(v) = 2*v + 5. Let n(s) be the first derivative of -s**3/3 + 9. Let z(l) = -4*n(l) + p(l). Is z(5) a prime number? False Let j = -24 - -33. Suppose 2*f - j = 7. Suppose f*l - 364 = 4*l. Is l a prime number? False Let k(j) = 5*j - 18. Let v be k(4). Is (-1)/((-5748)/(-2876) - v) prime? True Suppose 12*m - 6*m - 4200 = 0. Let q = m - -1567. Is q a composite number? False Let w be -1 + 4 + (-3 - (-1 + -2)). Suppose 4*q = -w*k - k + 1200, -3*k + q = -908. Is k prime? False Let y(g) = -5264*g + 33. Is y(-4) composite? False Let c = 38269 - 21210. Is c a prime number? False Let z(x) = -x + 8. Let v be z(6). Suppose -v*i - 10 = -7*i. Suppose -38 - 136 = -i*f. Is f composite? True Let m(j) = -j. Let k be m(-4). Suppose -3*a + 1521 = -3*z, -k*z + 2532 = -9*z + 2*a. Is (z/(-4))/(3/6) composite? True Suppose 4*g + 0*g = -4*y + 112, 0 = -5*y + 10. Is -235*(-2)/1 - (-26)/g composite? True Let p be 2 + 77/((-4)/(-4)). Let r = p + -26. Is r a composite number? False Suppose -5*d = -y - 74, -5*d + 72 = -0*y - 3*y. Suppose 879 = 18*u - d*u. Is u a prime number? True Let r(m) = 98*m + 151. Is r(5) composite? False Suppose 4*s = -19*f + 15*f + 1648, 4*f = -3*s + 1645. Is f prime? True Let n = 77 + -53. Suppose 11 = m + b, -2*m - 2*b + n = -b. Is 1*m*(24 - 5) prime? False Let b(y) = -y**2 + y. Let x be b(1). Suppose x = 3*h - 111 - 138. Is h composite? False Suppose 46416 = 13*q - 9*q. Suppose -5*m + q = 1879. Is m composite? True Let j = 23 + -9. Let m be (-12)/42 - (-6710)/j. Suppose -5*k + 1946 = -m. Is k prime? False Let w be 56/(-3)*(-105)/(-20). Let d = 245 + w. Let s = d - 60. Is s a prime number? False Suppose 8 = t + 4*l, 4*t = 6*t - 3*l - 16. Let h be t/10 - (-676)/(-20). Let z = h - -55. Is z a prime number? False Let f = 48 + -54. Let a(o) = 2*o**2 - 3*o + 7. Is a(f) a composite number? False Let d(x) = -7*x**3 + 2*x**2 + 6*x - 5. Is d(-8) a prime number? True Suppose -3*z + 731 = -67. Suppose -z = -5*r + 259. Suppose -a = -6*a + r. Is a composite? True Let x(c) be the first derivative of -291*c**2/2 - 22*c + 5. Is x(-4) a prime number? False Let k = 144 + -146. Is k/((-12)/42 - (-15304)/53662) a prime number? True Let a be (0 + 1)/(6/12). Let w = -2 + a. Suppose -q + 22 = -i - w*i, 5*i = 3*q - 64. Is q a prime number? True Let n(u) = -98*u**2 + 11*u - 2. Let y be n(-12). Let a be y/10 - 6/(-10). Let x = a - -2809. Is x prime? False Is ((-20)/350*-7)/((-6)/(-1870035)) composite? False Suppose 4 + 10 = 2*g. Let l(m) = -m**2 + 9*m - 10. Let x be l(g). Let w(s) = 29*s**2 - 4*s + 3. Is w(x) a prime number? False Let b(q) = 18*q**2 + 3*q + 1. Let t = 21 + -12. Let o = 7 - t. Is b(o) composite? False Suppose -208 = -j + 3*v, 0 = 16*j - 18*j - 4*v + 426. Is j a composite number? False Let y(t) = 903*t + 55. Let f be y(6). Suppose -f = -9*o + 7676. Is o a composite number? True Suppose 0 = 8*p - 22262 - 3930. Suppose c - p = -c. Is c prime? True Suppose 3 = -2*d + 3*d. Suppose 2*y + d = y. Let q(n) = 4*n**2 - 2*n + 5. Is q(y) a composite number? False Let a(y) = -y**3 + 13*y**2 + 18*y + 8. Let x be a(20). Is x/(-8) - 1/((-3)/(-3)) a composite number? True Let a(o) = 94*o**2 + 17*o**2 + 24 - 4*o - 21. Is a(2) prime? True Let q = 15 - 23. Let n = -24 - q. Let f(d) = -d**3 - 16*d**2 - 18*d + 11. Is f(n) a composite number? True Suppose -5*s = -3*r - 10, -5*r + 0*r = -5*s. Suppose -1384 = -r*q + 4751. Is q composite? True Let z be ((-1)/2)/(-4*(-7)/(-1467088)). Suppose -4*t + z = 4*l + 1458, 6165 = t - 4*l. Is t composite? True Is 625/(-250)*1754/(-5) a prime number? True Let y(k) = 124*k**3 - 4*k**2 + 2*k + 1. Let i be y(3). Suppose 4*o + 939 - i = 0. Suppose f - 2*r = -r + 142, 4*f + 5*r - o = 0. Is f composite? True Suppose -369971 - 316918 = -63*n. Is n a prime number? True Let g(v) = v**2 + 2*v. Let j be g(-2). Let c = j - 7. Let m(u) = u**2 + u - 4. Is m(c) composite? True Let q = -61 - -69. Suppose 143 = -q*m + 9*m. Is m composite? True Let x = 2108 + -679. Let n be -795 - ((3 - 0) + 0). Let o = x + n. Is o composite? False Let x = 11489 - 4992. Is x a composite number? True Suppose 3*n - 4*c + 5520 = -0*n, -3*n - 4*c - 5544 = 0. Let d = -651 - n. Is d a prime number? True Suppose -5*r - 4*h = -337497, -3*h - 135008 = -20*r + 18*r. Is r composite? True Suppose -23*a - 494 = -25*a - 5*d, -5*d - 534 = -2*a. Is a composite? False Let q = -125 - -303. Suppose -5*x + 497 + q = 0. Suppose 304 + x = m. Is m a composite number? False Suppose 43*l - 127653 = 26*l. Is l a composite number? True Let o = -30 - -36. Suppose 3*t = -3*w + 3129, -3129 = -3*w + 2*t - o*t. Is w prime? False Let b = 5602 + -2835. Is b prime? True Suppose -r - 5*f = -9773, -2*r = f + 4*f - 19556. Suppose r = 7*d + 2*d. Is d a composite number? False Let c be (-18444)/36 - (-8)/6. Let d(m) = -38*m**2 + 4*m + 4. Let z be d(-3). Let s = z - c. Is s a prime number? False Suppose 78 = 4*i - 70. Suppose -5*s = -5*r + 200, 0 = -2*s - s - 5*r - 80. Is (-21)/s*5*i composite? True Suppose 0 = 5*g + 25, -2*g + 3820 = 29*u - 24*u. Is u composite? True Suppose -3*f + 789 = -95082. Is f a prime number? True Suppose -23*w + 20*w = 0, 5*i - 79595 = w. Is i a prime number? True Suppose 16752 = -12*k + 103092. Is k a prime number? False Suppose 0 = -0*t + t - 4. Let a = 16 - t. Is a*((-60)/(-16) + -2) a prime number? False Let k(r) = r**3 + 69*r**2 - 40*r + 141. Is k(-69) prime? False Let a(f) = -f**3 + 7*f**2 - 5*f - 3. Let p be a(6). Suppose -3*t - 2*r = -649, -3*t + 436 = -t + p*r. Is t a composite number? True Let k = 32673 - 22772. Is k a composite number? False Suppose 72 - 288 = -2*a. Let b be a/(-6)*(-3 + 2). Is (-3)/(-2)*2532/b a composite number? False Suppose -9 = -2*f - 3*o, 2*f - 5*o + 7 = -24. Is (-2 + 480)*(f + 0)/(-6) a composite number? False Let c be 253/7 - (-3)/(-21). Let l = c - -25. Let t = l - -58. Is t prime? False Let r be 4/(-6) - (-8)/12. Let l(a) = -a**3 + r*a**2 + 3*a + 5*a**2 - 2 + 1. Is l(-4) prime? True Let j = -33 - -35. Suppose 4*k = -4*v + 476, j = -3*v - 13. Let q = 343 - k. Is q prime? False Suppose -4*j = 3*a - 2390, 374 = 3*j - 2*a - 1427. Let s be 78/65*2080/(-6). Let x = s + j. Is x a prime number? False Suppose q = 2*q + 4. Let a = 0 - q. Is (2/3)/(a/2226) a prime number? False Is -9*(-2)/(30/5) - -42304 prime? True Let r be 1 - ((-14)/(-7))/((-6)/(-9)). Is (-97)/r*(21 - -1) prime? False Let c(d) = -14*d**3 - 5*d**2 + 3*d - 2. Let x be c(8). Let v = x - -12013. Is v a prime number? True Suppose 4*p
{ "pile_set_name": "DM Mathematics" }
4*p + 38). -556*p Expand 2 - 2 + n**3 + (n + 4*n - 4*n)*(-5*n**2 + 6*n**2 + 0*n**2) - n - 2*n + 8*n - n**3. n**3 + 5*n Expand 8*q**4 - 13*q**4 + 40*q**4 + (-2*q + q + 0*q)*(3*q**3 + q**3 - 6*q**3) + 2*q**4 - 2 + 2 - 5 + 13*q - 13*q - q**4. 38*q**4 - 5 Expand (-c + 2*c - 3*c)*(3*c**2 + 5*c**3 - 3*c**2)*(4 + 1 + 0)*(-1 - 2 + 2)*(1 + 1 - 4)*(3*c - 2*c + 2*c). -300*c**5 Expand (2*p**2 + 4*p**2 - 7*p**2)*(-5 + p + 5) - 2*p**3 - p + p + (-p + p - 2*p**2)*(-12 + 12 + 3*p) + 3*p**2 + 2*p**3 - 3*p**2. -7*p**3 Expand (-2*b**2 + 0 + b + 0)*(-4 + 4 - 1 + (-12 + 91 + 71)*(-3 + 3 + 1)). -298*b**2 + 149*b Expand (7*m - 6*m + 6*m + (2*m - 5*m + 2*m)*(0 - 1 + 2) - 1 + 1 - m)*(-2 - 3 + 3). -10*m Expand (-3 - 1 + 2 + (-3 + 5 + 0)*(-4 + 0 + 3))*(-127*r - 159*r + 205*r). 324*r Expand (0*b + 3*b - 2*b + (-1 - 2 + 1)*(2*b + 4*b - 4*b) - 2 + 2 + b + 23*b + 33*b - 14*b - 3*b + 4*b + b + (1 + 1 + 0)*(-2 + 2 + 3*b))*(-2*b**3 - b**3 + b**3). -96*b**4 Expand (-2*s**2 - s**2 + 12*s**2)*(-10*s + 22*s - 11*s). 9*s**3 Expand (3*v + 9*v - 3*v)*(5 - 2 - 2)*(-2 + 3 + 0). 9*v Expand (5*t - 5*t + 2*t**2 + (t + t - t)*(-2*t - t + 2*t) - t**2 + 0*t**2 - 2*t**2)*(80*t**2 - 80*t**2 - 26*t**3). 52*t**5 Expand (-70 - 9*p**2 + 70)*(-2 + 2*p + 2)*(2*p**2 + 2*p**2 - 2*p**2). -36*p**5 Expand (5 + 7 - 3)*(0*c**2 - 3*c**2 + 4*c**2) - 2*c**2 - c**2 + 0*c**2 + (-2*c + 4*c - c)*(-c + 2*c - 2*c). 5*c**2 Expand (125 + 209 - 602)*(0*o**2 + 3*o**2 - 2*o**2). -268*o**2 Expand (4*q**3 - 2*q**3 - q**3)*(q - 1 + 1) + 2*q**4 - 2*q**4 - 5*q**4 + (-q**4 + 3*q**4 - 7*q**4)*(-2 - 4 + 4) + 0*q + 0*q + 3*q**4. 9*q**4 Expand (1 - 1 - n)*(-4 + 2 + 0) - 555*n - 1422*n + 762*n + (0*n + n - 3*n)*(-2 + 3 - 2 + (-1 - 4 + 4)*(-1 + 6 - 4)). -1209*n Expand (-2 - 2*f**2 + 2)*(-2*f**2 - f**2 + f**2) + (-f + 3*f - 3*f)*(4*f**3 - 3*f**3 - 3*f**3) - 3*f**4 + f**4 + f**4 + 2*f**4 + 4*f**4 + 27*f**4. 38*f**4 Expand (-l - 2*l + l)*(175*l**2 - 177*l**2 - 150*l**2) + l**3 + 0*l + 0*l. 305*l**3 Expand (-2*w**2 + 2*w**2 - 3*w**2)*(-46587 + 184*w + 46587). -552*w**3 Expand (-3 + 3 - 1)*(2*v - v + v) - 1 - v + 1 + 2 - 14 + 11 - 181*v. -184*v - 1 Expand (8*u**3 - 6*u**3 + 29*u**3)*(3*u - 3*u - 3*u)*(u - 2 + 2 + (-3 + 4 - 2)*(-3*u + 0*u + 5*u) - 1 - 2*u + 1 - u + 1 - 1 - 2*u - 3 + 3). 558*u**5 Expand (0 + 0 - 2*x + (-3 + 9 - 2)*(-2*x + 0*x + x))*(-9*x**3 + 12*x**4 + 9*x**3 + (0*x + 2*x**2 + 0*x)*(2*x**2 - 2*x + 2*x) + x**4 - 4*x**4 + 6*x**4). -114*x**5 Expand -142*o**5 + 50*o**5 + 22*o**5 + 27*o**5 - 2*o**4 + 2*o**4 - 2*o**5 + (2*o**2 - o**3 - 2*o**2)*(0 + 2*o**2 + 0) + o**5 + 0*o**5 + 0*o**5. -46*o**5 Expand (-5*z - 5*z + 2*z)*(2*z**4 + 4*z**4 + 0*z**4 + (2*z**3 - 3 + 3)*(0 + 0 - z) + z**4 + z**4 - 4*z**4). -16*z**5 Expand (349 - 28*p - 349)*(9*p - 8*p - 6*p). 140*p**2 Expand 1 - 4*n**3 - 1 - 2*n**3 + 2*n**3 + n**3 + (n**2 + n**2 - 3*n**2)*(3 + 3*n - 3) + 0*n**3 - 4*n**3 - 4*n**3. -14*n**3 Expand (14*y - 22 + 22)*(-11 + 10 + 21). 280*y Expand (-4 + 3 - 1)*(3 - 2 + 0)*(0*o**2 + 5*o**2 - o**2)*(-o + o - 2*o + o + 4 - 4 + (2 - 3 + 0)*(-3*o + 2*o - o) + 0*o + 3*o - 2*o - 9 + 10*o - 5 + 15). -96*o**3 - 8*o**2 Expand (0 + 2*d + 0)*(1992*d**2 - 1992*d**2 + 108*d**3). 216*d**4 Expand (0 - 2*i + 0 - 28 + 28 - 2*i + (5 - 1 - 2)*(-3*i + 3 - 3))*(-2 + 0 + 0)*(-2*i**2 + 2*i**2 + i**2). 20*i**3 Expand (-3*k**3 + 0*k**2 + 0*k**2)*(35*k + 1 + 24*k - 25*k). -102*k**4 - 3*k**3 Expand 211*j + 42*j**3 - 211*j + (4*j**2 - 4*j**2 + j**2)*(12*j - 5*j - 2*j) - 7*j**3 + 2*j**3 + 3*j**3 + (2 - 2 + j)*(-3*j + j**2 + 3*j) - j**3 + 2*j - 2*j. 45*j**3 Expand (-b - 2*b - b**3 + b)*(-102*b + 52*b - 89*b) - b**4 + 0*b**4 + 0*b**4. 138*b**4 + 278*b**2 Expand 5*z + 5*z**2 - 5*z + 3*z**2 + 26*z - 26*z + 2*z**2 - 1 + 1 + (-z + z + 2*z)*(3*z + 5*z - 6*z) + z + 2*z**2 - z. 16*z**2 Expand 3*d**4 - d**4 + d**4 + (-779 + 7*d**2 + 779)*(-3*d**2 - 2*d**2 + 3*d**2). -11*d**4 Expand -3 - 4*s - 12*s**3 + 8*s + 11*s**3 - 2*s**4 + 2*s - 2*s - 2*s**4 + (-s**3 + 7*s**3 - 2*s**3)*(-3*s + 3*s - s). -8*s**4 - s**3 + 4*s - 3 Expand (d**2 - 2*d + 2*d)*(-4*d**2 + 5*d**2 - 3*d**2) + 2132*d + 28*d**4 - 25*d**4 - 3145*d. d**4 - 1013*d Expand (5*r - r - 5*r)*(-60 - 56 + 23). 93*r Expand (4 - 4 - 2*l**2)*(2*l + 0*l + 0*l) + (-912*l - 910*l + 1823*l - 8*l**2)*(-l - l + l). 4*l**3 - l**2 Expand -33*r - 516 + 516 + 1 - 1 + 2*r + 5*r - 3*r - 3*r + (-3*r + 6*r - 4*r)*(1 - 3 + 0). -30*r Expand (-4 - 44*b + 25*b + 25*b)*(5*b**2 - 2*b**2 - 4*b**2). -6*b**3 + 4*b**2 Expand ((-3 + 0 + 5)*(1 + 3 - 2) - 2 - 3 + 3 + 2 - 1 + 2 + 0 - 1 + 3 + 16 + 11 - 5)*(-2*y**3 + 4*y**3 - 3*y**3). -29*y**3 Expand (6 - 1 + 1)*(0*d**2 + 0*d**2 + 3*d**3 + (-3*d**2 + d**2 + d**2)*(-5 + 5 + 2*d) - 3*d**3 - 3*d**3 + 5*d**3 - d**3 - d**3 + 3*d**3). 6*d**3 Expand (v - 1 + 1 + (-13 - 5 - 24)*(-v + v + 2*v))*(4*v + 1 - 5*v + 2*v). -83*v**2 - 83*v Expand (-2*a**2 - a**2 + 2*a**2)*(-4*a**2 + 0*a**2 + 3*a**2) - 3 + 3 - 2*a**4 + (12*a**2 - 13*a**2 + 10*a**2)*(-a**2 + 2*a**2 + a**2). 17*a**4 Expand (4 - 2 - 1)*(-2*p + 4 - 4) + 3*p - 3*p - 2*p - 3*p + 3*p - p + p + 2 - 2 + (4*p - 6*p + 4*p)*(1 - 4 + 2) + 0*p - p - p + (-p - 6 + 6)*(0 + 10 + 0). -18*p Expand (-3 - 2*n + 3)*(61*n - 43*n - 16 - 13*n). -10*n**2 + 32*n Expand (f**3 - 2*f + 2*f)*(f - 5*f + 2*f) - 61*f**4 + 82*f**2 - 82*f**2. -63*f**4 Expand (2 + 1 - 4)*(18*p**2 + 25 + 15 - 2*p - 41). -18*p**2 + 2*p + 1 Expand 0*r**2 + 4*r**2 - 3*r**2 + (2*r - 5*r + 0*r)*(-r + 0*r - r) - 2 + 2 + 2*r**2 + (-9 + 4 - 1)*(-1 + 1 + 6*r)*(1 - 1 - r). 45*r**2 Expand 55*c**3 - 55*c**3 - 48*c**4 + (c**2 + 3*c**2 - c**2)*(c**2 - 2*c**2 - c**2) + 1 - 3*c**4 + 2 - 1 - c**4 - 2*c**2 + 2*c**2. -58*c**4 + 2 Expand ((2*a + 2*a - 2*a)*(-14 - 14 + 4) + a + a - 3*a + 2*a - 4*a + 0*a)*(0*a**2 - 7*a**2 + 2*a**2). 255*a**3 Expand (-1048*c**2 + 1048*c**2 + 12*c + c**3)*(c + c + 0*c). 2*c**4 + 24*c**2 Expand (0*j**2 - 3*j**2 + 0*j**2)*(5*j + 13*j + 2*j). -60*j**3 Expand (-503*x + 1 - 4 + 540*x)*(-1 + 2 - 4). -111*x + 9 Expand -b + 2*b - 2*b + (-3 + 1 + 3)*(3 - 2*b - 3) + 2*b + b - 4*b + (6 + 7 - 3)*(-10 + 10*b + 10) - 2 + 6 - 2*b - 2. 94*b + 2 Expand (-k + 0*k - k + (-3*k + 3*k - 2*k)*(-32 + 19 + 22) + (k + 0*k + k)*(-1 + 1 + 1))*(k**3 + 0*k**3 - 2*k**3). 18*k**4 Expand ((-5 + 5 - 1)*(5*u - 40 + 40) + u - 7*u + 0*u + 4*u - 2*u + 0*u + (0 + 1 + 1)*(-u + 2*u - 3*u) + 3*u + 2*u - 7*u)*(42 - 18*u - 42). 270*u**2 Expand (-5*h**3 - h**3 + 4*h**3 + (-h**3 - 3*h**2 + 3*h**2)*(5 - 6 - 1) - h**3 - 5*h**2 + 5*h**2)*(-24 - 4*h + 24). 4*h**4 Expand (-7 + 4*u**2 - 10*u**2 + 4*u**2)*(-3 + 5 - 1)*(4*u**2 - 4*u**2 - u**3 + (2 + u**2 - 2)*(-u - 2*u + u)). 6*u**5 + 21*u**3 Expand (16 - 20*i**2 + 28 - 43)*(-1 - 1 + 0). 40*i**2 - 2 Expand (3 + 1 - 6)*(28 + 34 - 37)*(-7*m - 37 + 37). 350*m Expand (-3*o**4 + 3*o**3 + 4*o**3 - 4*o**3)*(14 + 7 + 1) + o + 2*o**4 - o. -64*o**4 + 66*o**3 Expand -2 - 2*l**2 + 2 + (-1 + 1 + 2)*(1 + 2*l**2 - 1) - 5*l**2 - 3*l**2 - 3*l**2 - 4*l**2 - 5 + 5 + (4 - 2 - 1)*(-3*l**2 - 4*l**2 + 6*l**2). -14*l**2 Expand (-3*h + h + 3*h)*(h + h**2 - h) + 2*h**2 - 2*h**2 - h**3 + (-1 + 1 + 1)*(-4 + 4 - h**3) + h**3 + 3*h**3 + 8*h**3. 11*h**3 Expand ((3 - 1 + 0)*(5 + 38 - 92) + 2 + 6 - 2)*(3 + 2 - 6)*(-2 - 2*h + 2). -184*h Expand (-3 + 1 + 1 + (4 + 1 - 6)*(2 - 1 - 2) + 4 - 9 - 9)*(-n - 3*n + 3*n)*(2 - 2 + 1). 14*n Expand (-3*a**2 + 4*a**2 + 0*a**2)*(18 - 10 + 9) + a + 11*a**2 - a. 28*a**2 Expand (2 - 1 + 5)*(-u + 4*u - 2*u)*(-15 - 2 + 2). -90*u Expand -14*i**2 + 2*i**4 + 4*i**2 - 15*i**2 + (4*i**2 - 4*i**2 - 3*i**2)*(44 + i**2 - 44). -i**4 - 25*i**2 Expand (34 - z - 66*z**2 - 34)*(-1 - z + 1). 66*z**3 + z**2 Expand (1 + y - 1)*(0 + 0 + 2 + (3 - 5 + 0)*(6 + 0 - 3))*(-12*y**3 + 0*y**3 - 6*y**3). 72*y**4 Expand (5*i + 7*i - 30*i)*(-2*i + 3*i + 0*i) - 3 + 2 + 3 - 6*i**2. -24*i**2 + 2 Expand 5*i**2 - 5*i**2 - i**3 - 3*i**2 + i**3 + 3*i**2 + (-3*i**2 + 0*i**2 + 4*i**2)*(2*i - i + i) - 38*i + 38*i - 19*i**3. -17*i**3 Expand (3*p**2 - 2*p**2 + p**2)*(1 + 1 + 0)*(-p**3 + 2*p - 2*p). -4*p**5 Expand (7*p - 9*p - 15*p)*(p**2 - 4*p**2 + 6*p**2) + (p - 2*p + 3*p)*(3*p**2 + p**2 - 5*p**2). -53*p**3 Expand (-2 + 1 + 2)*(0 + k**2 + 0) - 8*k + 8*k - 9*k**2 + 0*k**2 - k**2 - k**2 + (3*k - 4*k + 2*k)*(-k + 3*k - 3*k) + 2*k**2 - 1 + 1 + 0*k**2 + 0*k**2 + k**2. -8*k**2 Expand (3*c - 5*c + 4*c)*(-32*c + 18*c + 23*c + 3). 18*c**2 + 6*c Expand (-4*
{ "pile_set_name": "DM Mathematics" }
g, given that -2*g**3 + 11*g**2 - 83*g - 77*g**2 - 280*g - g**3 = 0. -11, 0 Let q(r) = 12*r**2 + 30 - 30 + 15 + 12*r - r**3. Let z be q(13). Factor 3/4*x + 1/4*x**3 + 3/4*x**z + 1/4. (x + 1)**3/4 Let w be (-12)/(-28) - 44/168. Let f(k) be the second derivative of -2*k**2 - 1/3*k**3 - 6*k + 0 + w*k**4. Let f(j) = 0. What is j? -1, 2 Find u, given that -65*u**2 - 22*u**3 - 47*u**2 + 12 - 20 - 54*u - 30*u - 14*u**3 = 0. -2, -1, -1/9 Let x(k) be the third derivative of -1/672*k**8 + 0*k - 1/48*k**4 + 0 + 1/12*k**3 + 1/420*k**7 + 1/120*k**6 + 30*k**2 - 1/60*k**5. Factor x(p). -(p - 1)**3*(p + 1)**2/2 Let k(g) = -7*g**2 - 542*g - 226. Let q be k(-77). Determine v so that -15/7*v**3 - 11/7*v**4 - 3/7*v**q + 0 - 9/7*v**2 - 2/7*v = 0. -1, -2/3, 0 Let r be 3/((-24)/80*-5 - -6). Factor -r*j**2 - 18/5 + 12/5*j. -2*(j - 3)**2/5 Let j be (-11 - -9) + 0 + 4. Solve 0*p**j + 0*p**2 + p**2 = 0. 0 Let h = 28457 + -28455. Factor -2/7*a + 2/7*a**3 + 0 + 0*a**h. 2*a*(a - 1)*(a + 1)/7 Let a(v) be the second derivative of -v**4/42 + 22*v**3/21 - 121*v**2/7 + 22*v. Factor a(k). -2*(k - 11)**2/7 Let j(z) be the second derivative of -z**7/630 + z**6/90 - 5*z**4/3 - 14*z. Let v(i) be the third derivative of j(i). Factor v(m). -4*m*(m - 2) Suppose -7/2*d**3 + 51/4*d - 9/2 + 3/4*d**5 + 5/2*d**4 - 8*d**2 = 0. Calculate d. -3, 2/3, 1 Let v be 77/(-4) + 20 - (-2 + -1). Factor -v*n + 0 + 3/4*n**2. 3*n*(n - 5)/4 Let r(w) = -5*w**3 + 5*w**2 - 2. Let u(k) = 25*k**3 - 25*k**2 + 11. Suppose 2*b - b = 5*c - 58, c - 4*b = 23. Let l(q) = c*r(q) + 2*u(q). Factor l(v). -5*v**2*(v - 1) Suppose 31 = 11*i + 229. Let k be (-8)/i*3 + 22/33. Suppose 1/2*z**5 + k*z**4 + 0 + 3*z**3 + 1/2*z + 2*z**2 = 0. What is z? -1, 0 Factor 32/17*v**2 + 70/17*v + 36/17 - 2/17*v**3. -2*(v - 18)*(v + 1)**2/17 Let y(x) be the first derivative of 9*x**4/4 - 97*x**3 + 188*x**2 - 124*x - 508. Factor y(d). (d - 31)*(3*d - 2)**2 Suppose 3*d + a - 12 = 0, -21 = -9*d + 4*d - 2*a. Let y(r) be the third derivative of 1/240*r**5 + 0*r**4 + 0*r - 3*r**2 + 0 + 0*r**d. Factor y(q). q**2/4 Let y(r) = 8 - 17 + 6 + r**3 + 2. Let w(i) = 12*i**3 - 8*i**2 - 4*i. Let p(j) = w(j) - 8*y(j). Factor p(d). 4*(d - 2)*(d - 1)*(d + 1) Let y(t) = -30*t - 87. Let a be y(-3). Find j such that -2/3*j**a - 4/3*j**2 - 2/3*j + 0 = 0. -1, 0 Let d be 2 + (6712/(-672) - -8). Let l(y) be the third derivative of 2/21*y**3 - d*y**4 + 0*y - 1/210*y**5 + 0 + 6*y**2. Factor l(h). -2*(h - 1)*(h + 2)/7 Let k(b) be the first derivative of b**5/5 + 2*b**4 + 8*b**3 + 16*b**2 - 9*b + 28. Let c(i) be the first derivative of k(i). Determine z so that c(z) = 0. -2 Let y(b) = 15*b**4 + 15*b**3 + 36*b**2. Let r(f) = f**4 + f**2 - f. Let d(t) = -12*r(t) + y(t). Determine h so that d(h) = 0. -2, -1, 0 Let m(q) be the second derivative of -q**4/48 - q**3/24 + q**2/4 - 3*q + 1. Factor m(g). -(g - 1)*(g + 2)/4 Let l(p) be the first derivative of -3*p**5/10 + 3*p**4/8 + 41*p**3/2 + 333*p**2/4 + 108*p + 91. Let l(m) = 0. What is m? -3, -1, 8 Suppose 0 = -4*i - i + 175. Suppose -2*p - 3*p - i = -r, 4*p = 20. Factor -149*q**2 + 18*q**2 + 5*q**2 + r*q + 49*q**3 - 8. (q - 2)*(7*q - 2)**2 Factor 3546*f**3 - 1760*f**3 + 28*f**4 - 1754*f**3 - 48*f**2. 4*f**2*(f + 2)*(7*f - 6) Suppose 12*r + 52*r**4 + 15*r**2 - 39*r**3 + 41*r**2 - 24 - 43*r**4 - 14*r**2 = 0. Calculate r. -2/3, 1, 2 Let f(u) = u**2 - u - 6. Let w be f(3). Let -12*y**2 - 12*y**4 - 24*y**5 - 3*y + w*y + 21*y**5 - 18*y**3 = 0. Calculate y. -1, 0 Let f be -11 + (-72)/(-9) + 5. Factor -1/3*x**3 - x**f + 0*x + 4/3. -(x - 1)*(x + 2)**2/3 Let y(f) be the first derivative of -1/2*f**3 + 0*f**2 + 2 - 7*f + 1/4*f**4. Let h(a) be the first derivative of y(a). Solve h(v) = 0. 0, 1 Let c = 9508/7 - 37955/28. Factor -27/2*v - 45/4*v**3 - c*v**4 - 81/4*v**2 - 1/4*v**5 + 0. -v*(v + 2)*(v + 3)**3/4 Suppose 2008*v - 2006*v - 6 = 0. Factor -3/8*g**5 - 15/8*g**4 + 0 + 3*g - 9/4*g**v + 3/2*g**2. -3*g*(g - 1)*(g + 2)**3/8 Let g be (-8 - 145/(-15))*2/40. Let y(o) be the first derivative of 1/8*o**2 + 2 - g*o**3 - 1/16*o**4 + 1/20*o**5 + 0*o. Factor y(t). t*(t - 1)**2*(t + 1)/4 Suppose -2*m - o + 7 + 0 = 0, -5*m + 3*o = -23. Factor 15*g**4 + m*g + 8*g**2 + 0*g + 5*g**3 - 14*g**4. g*(g + 1)*(g + 2)**2 Let f(o) = -2*o**4 + o**2 - o - 1. Let v(g) = 7*g**4 - 10*g**3 + 32*g**2 - 34*g + 17. Let u(w) = 4*f(w) + v(w). Solve u(t) = 0 for t. -13, 1 Let a(i) be the second derivative of 0 - 4/7*i**2 + 2/7*i**3 - 9*i - 1/21*i**4. Suppose a(l) = 0. What is l? 1, 2 Let u(a) be the third derivative of -9*a**7/70 + a**6/2 + a**5/4 - 5*a**4/2 + 2*a**3 - 39*a**2. Let u(q) = 0. Calculate q. -1, 2/9, 1, 2 Suppose -463 + 481 = 9*s. Let j(k) be the third derivative of 0*k - 14/15*k**5 + 6*k**3 + 0 + 1/12*k**6 + 11/4*k**4 - s*k**2. Factor j(w). 2*(w - 3)**2*(5*w + 2) Let c(i) = i**2 - 2*i + 2. Let u be c(2). Let l be 12/(-6) - (-10)/u. Determine z so that -9 + 5*z + 0*z**2 + 7*z - l*z**2 = 0. 1, 3 Let b(q) be the second derivative of q**5/70 + 3*q**4/14 - q**3/21 - 9*q**2/7 + 35*q. Factor b(n). 2*(n - 1)*(n + 1)*(n + 9)/7 Let k(t) be the third derivative of -t**6/30 + 4*t**5/15 + 86*t**2. Solve k(w) = 0. 0, 4 Let g = -21642 - -21644. Factor 8/7*f + 8/7 + 2/7*f**g. 2*(f + 2)**2/7 Let f(s) be the second derivative of -s**6/20 - 3*s**5/10 + 5*s**4/8 + 60*s. Let f(q) = 0. Calculate q. -5, 0, 1 Let c(q) be the second derivative of -12*q + 0 + 7/3*q**4 + 4/3*q**3 + 2/5*q**5 - 6*q**2. Determine i so that c(i) = 0. -3, -1, 1/2 Let j(s) be the first derivative of -2*s**5/5 + 83*s**4/4 - 307*s**3 + 620*s**2 - 400*s + 240. Factor j(m). -(m - 20)**2*(m - 1)*(2*m - 1) Let g = -51/2 - -26. Suppose -v = -o - 4*v + 12, -3*o = 2*v - 15. What is b in 0*b + 0 + g*b**o + 1/4*b**4 + 1/4*b**2 = 0? -1, 0 Let r = 6 - 3. Suppose -r*d + 0 = -6. Suppose 19*j**3 + 4*j**3 - 8*j**5 - 3*j**3 + 4*j**4 + 8*j**d = 0. Calculate j. -1, -1/2, 0, 2 Let a be ((10 - 12) + -18)/(35/(-2)). Let 0 + a*q + 1/7*q**2 = 0. What is q? -8, 0 Let -6 + 31/5*n - 1/5*n**3 + 0*n**2 = 0. Calculate n. -6, 1, 5 Let d(x) be the first derivative of x**4 + 52*x**3/3 - 2*x**2 - 52*x - 151. Determine z so that d(z) = 0. -13, -1, 1 Factor 52/3*r**3 + 50/3*r**4 + 0*r**2 + 0*r - 2/3*r**5 + 0. -2*r**3*(r - 26)*(r + 1)/3 Let y be 10/(4 + 3 + -5). Factor -80*n - n**3 + 5*n**3 + 78*n - n**y - n**5. -2*n*(n - 1)**2*(n + 1)**2 Let r(v) = 3*v**2 - 3*v. Let c(g) = -5*g**3 + 20*g**2 + 10*g + 15. Let a(t) = -c(t) + 5*r(t). Let a(i) = 0. Calculate i. -1, 3 Let l be (10/35)/((-3)/(-84)). Let v be (2 - (-1 + 1))*l/40. Find i, given that -v*i + 0 - 2/5*i**3 - 4/5*i**2 = 0. -1, 0 Determine z, given that 0*z**3 + 207*z**4 - 208*z**4 - 30 - z**3 + z + 31*z**2 = 0. -6, -1, 1, 5 Suppose 0 = -z + 8. Let f = -8 + z. Factor 3*g**3 - 3*g**4 - 4*g**4 + f*g**3 + 4*g**4. -3*g**3*(g - 1) Let h(t) = 7*t**4 + 5*t**3 + 12*t**2 - 3*t - 11. Let i(c) = 3*c**4 + 3*c**3 + 6*c**2 - 2*c - 6. Let g(n) = -4*h(n) + 10*i(n). Factor g(w). 2*(w - 1)*(w + 2)**3 Let l(a) be the second derivative of -a**5/270 + a**4/108 - 19*a**2/2 + a. Let g(c) be the first derivative of l(c). Determine u so that g(u) = 0. 0, 1 Suppose x + 0*x = 3. Suppose -6*h**2 + 31*h**3 - x*h**3 - 2*h**2 - 16*h**5 - 16*h**4 = 0. Calculate h. -2, 0, 1/2 Let r = -19 - -15. Let i = r + 10. Determine n so that -3*n**4 + 3*n**4 + i*n**3 + 12*n**2 - 14*n**3 - 4*n**4 = 0. -3, 0, 1 Let u(f) be the first derivative of 2*f**5/25 + 6*f**4/5 + 26*f**3/15 - 66*f**2/5 + 16*f + 563. Suppose u(d) = 0. What is d? -10, -4, 1 Let n(a) be the second derivative of -a**7/21 - a**6/5 + 2*a**5/5 + 8*a**4/3 - 16*a**2 - 90*a. Determine p, given that n(p) = 0. -2, 1, 2 Let r(n) be the third derivative of 47*n**2 + 2/105*n**7 + 2/15*n**5 + 1/9*n**4 + 0*n**3 + 0*n + 13/180*n**6 + 0 + 1/504*n**8. Suppose r(p) = 0. What is p? -2, -1, 0 Let i(x) = 3*x**2 + 1. Let o(r) = 7*r**2 - 120*r + 125. Let w(n) = 3*i(n) - o(n). Factor w(k). 2*(k - 1)*(k + 61) Let f be (-3 - -5)/(-9 + 190/15). Suppose 0 + 8/11*l**2 + 8/11*l - f*l**4 - 10/11*l**3 = 0. Calculate l. -2, -2/3, 0, 1 Let 432*h + 64 + 4*h**4 - 100*h**2 + 68*h**3 - 150 + 460*h**2 - 778 = 0. What is h? -6, 1 Let o = -11 - -143. Let v be (1 + 0)*-2*o/(-88). Solve 8/5*u**4 + 4/5*u - 8/5*u**v - 16/5*u**2 + 4/5*u**5 + 8/5 = 0 for u. -2, -1, 1 Factor -4/3*l**2 + 14/5*l - 6/5 + 2/15*l**
{ "pile_set_name": "DM Mathematics" }
ppose -19 = -3*h - 7. Let r(v) = v**2 - 17*v + 83. Let s be r(7). Solve h*x + s = -3 for x. -4 Let g = -16 + 28. Suppose -g = 9*o - 11*o. Solve j = -j - o for j. -3 Let r be 0/(-3) + (2 - 2). Suppose 4*k = -r*k + 52. Suppose -3*m = -k - 5. Solve 5*h + m = -9 for h. -3 Let q = -492 - -494. Solve -2*f = 2*f - q*f for f. 0 Suppose 28*y = y - 9*y. Solve y*d = 2*d - 2 for d. 1 Suppose -4*p + 262 = -5*l, -3*l = 2*l - 3*p + 259. Let z = l - -50. Solve z = -4*b + 8*b - 16 for b. 4 Suppose -3*g = 4*f - 15, 0*g + 2*g - 10 = f. Suppose -79 = 21*j - 184. Solve f = j*m + 19 - 4 for m. -3 Let o be 25/(-15) + 1 + (-28)/(-6). Solve -6 = k - o for k. -2 Let h be (0/3)/(15 - 21). Solve a + 5 = -h*a for a. -5 Let i be (-6)/((-2 - -4) + -1). Let f = 0 - i. Solve 0 = -5*v + 3*v + f for v. 3 Suppose -10*w = -15*w - 40. Let h be -5*(w/20 + -1). Solve -2*c = -h*c + 15 for c. 3 Suppose 0 = -37*n + 28*n + 18*n. Solve n*q - 4 = 2*q for q. -2 Let i(o) = o**2 - 15*o + 26. Let s be i(13). Solve -2*b + 6*b + 8 = s for b. -2 Let w = 0 - 7. Let n be (8/10)/(w/140). Let r = 17 + n. Solve q = -0*q - r for q. -1 Let u be 4/(-6) - (-16)/6. Suppose -5*z = f + 3, z + 4*z - 2*f + 9 = 0. Let x = u - z. Solve -2*j - 25 = x*j for j. -5 Let c(m) = 41*m + 579. Let o be c(-14). Solve -o*z + 8 = 23 for z. -3 Let m = 52 - 49. Let t be 6/(-9) - (34/m)/(-2). Solve t*o - 8 = o for o. 2 Let w = 21 - 16. Suppose o + 1 + 2 = 4*l, 0 = l + w*o - 27. Let q be (-3 - -2)/(l/(-6)). Solve 0 = 5*z - q - 2 for z. 1 Let s = -154 - -162. Let u be 0 + 0/(1*2). Suppose -4*i = -u*i - s. Solve 9 = 5*b - i*b for b. 3 Suppose 0 = -0*x + 2*x - 6. Let h(d) = -d + 1. Let b be h(-1). Suppose 21 = b*q + 13. Solve -x*y - q = -1 for y. -1 Suppose -3*q - 3*w - 16 = -7*q, -3*w = 12. Suppose s - 3 = 2*f - 6, s + 7 = 3*f. Suppose -19 = -s*v + q. Solve v = -3*m + 2*m for m. -4 Suppose -2*d = 2*m - 12, -2*m = -5*d + 5 - 10. Solve 13 = -3*g + d for g. -4 Let u = 235 + -232. Solve u*b - 6 + 21 = 0 for b. -5 Let j be 7*(440/(-14))/(-11). Solve -5*b = -b - j for b. 5 Suppose 4*b - 2*v - 86 = 0, 3*b + 4*v + 25 = 4*b. Let u(p) = b*p + 23*p - 45*p. Let q be u(-2). Solve 3 = -q*y - 1 for y. -2 Suppose 2 = t - 8. Let w be ((-2)/(-4))/(1/t). Solve g = w*g for g. 0 Let k be -1*(48/(-10) + (-308)/(-385)). Suppose 3*g + g = 12. Solve -k = s - g for s. -1 Suppose 4*g + 3 = 3*g. Let n = g - -5. Suppose 0 = -n*o - 2*o. Solve 0 = -5*h - o - 5 for h. -1 Let d = -2 - -17. Suppose t = -2*j - 6, 0 = 2*t - 6*t - 5*j - d. Suppose 3*i = -2*i. Solve t*l + l - 1 = i for l. 1 Suppose 27 = 5*b - 3. Let d be (-5)/30 + 1/b. Solve d*j = j - 4 for j. 4 Let i be (1 - 0)/(-1)*12/(-3). Suppose -j = 2*k - 3, 3*j + 5 = i*k - 16. Let q be 2/4 - (-6)/4. Solve 0 = -q*p + 5 + k for p. 4 Suppose -3*u = -3*h + 9, -2*h = 3*u - 0*u - 16. Solve -5*q - 18 = u for q. -4 Let d(t) = 9*t**2 + 3*t - 2. Let c be d(1). Let m be (0 + 0)/(c/(-5)). Solve m = -2*h + 4*h + 10 for h. -5 Suppose 5*q + 16 = 56. Let d = 13 - q. Solve -2*y = -d*y + 12 for y. 4 Let o = -30 + 76. Suppose 2*f + f = -5*p - o, -2*f - 5*p = 34. Let m be (-50)/f + (-2)/12. Solve -2 = -m*a + 2 for a. 1 Suppose i - 4 = 0, m + 3*m = -2*i - 24. Let u be m/(-10)*(8 - 13). Let q be 171/36 - 1/u. Solve 0 = -l + q*l for l. 0 Let s(n) = n**3 - 2*n**2 - 2*n - 1. Let p = 6 + -2. Suppose -l + 15 = -p*k, -4*l - 1 = 3*k - 4. Let m be s(l). Solve -m*v = 5 - 7 for v. 1 Let k(g) = g**3 + 8*g**2 + 12*g + 9. Suppose 3*q - 3 = 2*y, 4*y = 3*y + 5*q + 9. Let w be k(y). Solve -w = 3*p - 6*p for p. 3 Let m = 18 - 26. Let n = -7 - m. Let y be -6*n*(-4)/8. Solve 0 = -y*k + 2 - 5 for k. -1 Suppose -11 = -16*g + 19*g - 5*d, -2*g + 10 = d. Solve -2*c = g*c + 25 for c. -5 Suppose -3*r - 2*i = -2, 0 = 2*i + 4 + 6. Solve -13 = -r*s - 1 for s. 3 Suppose 0 = 2*n + 12 + 8. Let d be 1*-2*n/10. Solve -2*g - d = -0 for g. -1 Suppose -2*w + 3*s + 4 = 0, 3*w + 4*s + 19 = -9. Let l = w + 9. Suppose l = 3*m - 4. Solve 0 = -0*t - t + m for t. 3 Suppose 12*n + 35 = 59. Let j = 3 - 2. Solve -n*q + j = -q for q. 1 Suppose -18 = -4*m + 14. Let v be 2/(-5) - m/(-20). Solve 2*g = -v*g for g. 0 Suppose 3*t - 2*t = 0. Suppose 0 = -2*p - 4*w + 8, -2*p + 11 = -t*p + 3*w. Solve 0 = -3*r - p - 2 for r. -4 Suppose -a + 3*i = 78, -3*i = -2*a - 0*i - 150. Let y = -70 - a. Solve -y*u - 5 + 3 = 0 for u. -1 Let j(p) = -3*p**2 + 23*p - 9. Let u be j(7). Solve u*l = 3*l for l. 0 Suppose 1 = i, 0*f = 3*f - 2*i - 46. Solve -f = -3*x + 7*x for x. -4 Let w(q) = 3*q - 17. Let p be w(9). Suppose 0 = -5*g + p. Suppose 3*m = -g*b - 3*b + 3, b - 2*m + 2 = 0. Solve -4*i = -b*i + 16 for i. -4 Suppose 141*g - 20 = 1249. Solve -g*h = 2 - 20 for h. 2 Suppose 2*m = 6*m - 20. Suppose 5*h - 45 = 5*p, -4*h = -5*p - 2 - 35. Suppose -h = -m*n + n. Solve n*j - 5*j = -15 for j. 5 Let d be (-28 + 29)/(1/(-17)). Let t be (0 - -1)*(-1 - 31). Let c be t/d + 24/204. Solve c*u = 6*u + 4 for u. -1 Suppose -4*s - 312 = -5*r, -r - 262 = -5*r - 3*s. Solve -r*u + 1 = -65*u for u. -1 Let h(t) = -t**3 + 5*t**2 - 3*t. Let a be h(4). Suppose 0 = 2*o + 4*o - 30. Suppose -5 = -5*x + o. Solve 0*k - a = x*k for k. -2 Let v be (2/(-3))/(5/(-15)). Suppose 0*n + v*n = 0, 0 = m - 5*n - 2. Suppose m*z = 2 + 2. Solve -z*k = -k + 1 for k. -1 Suppose -6*l + 4*l + 4 = 0. Suppose 6 = l*s + s. Let f be s - (16/(-4))/4. Solve f*b + 3 = -0*b for b. -1 Suppose -j = -4*j - 3*f + 21, 3*j - 2*f - 6 = 0. Let g = j + -3. Solve 5 = -x + g for x. -4 Let r(j) = -j - 22. Let s be r(-26). Suppose -2 = k + 3. Let l be (-2 + (-13)/k)*5. Solve l*b = 4*b - s for b. 4 Let v be 6 - (2 - 1/1). Suppose 4*u = 13 + 7. Let x = v - u. Solve -2 = -2*r - x for r. 1 Let p(t) = 2*t**3 + 14*t**2 - 10*t + 2. Let g(o) = 3*o**3 + 27*o**2 - 20*o + 4. Let l(n) = 3*g(n) - 5*p(n). Let q be l(10). Solve 0 = -j + 3*j + q for j. -1 Suppose r - 4*x = -6, -r + 22 - 52 = 4*x. Let a = -16 - r. Solve -3*z = -z + a for z. -1 Let n be 2*6/(-12) - -16. Solve 4*f = -11 + n for f. 1 Let a(j) = -2*j**2 + 8*j + 4. Let s be a(4). Suppose -3*f = -u - 5, -1 = -s*f + 5*u + 24. Solve -5*d + d = f for d. 0 Let h(p) = -p**2 - 7*p + 6. Let q be h(-7). Let y = q + 0. Let n be (-155)/62*((-8)/5 - 0). Solve -n*s - y = -s for s. -2 Let z(l) = l**2 - 11*l + 45. Let v be z(5). Let k(w) = w**2 - 15*w. Let t be k(v). Solve -u + t*u + 1 = 0 for u. 1 Suppose 0 = 5*c + 4*y + 15, -c - 2*y - 24 = 3*y. Let a be c - (3/(-1) + 4). Solve a = 5*w - 2 - 3 for w. 1 Let x = 43 - 41. Suppose x*c - 3*f = -c - 3, -2*f = -2. Solve q - 3 + c = 0 for q. 3 Suppose 0*c + 2*c = 3*c. Suppose 1 = -d, 4*d + 2 = -c*w - w. Solve -8 = w*n - 0 for n. -4 Let a be 1 - 3*(0 + -1). Let p be 0/(-4 - (a - 6)). Solve p = -3*x + 2*x - 1 for x. -1 Let n(w) = -w**2 - 4*w + 1. Let l(s) = -s**2 - 5*s + 1. Let x(y) = 2*l(y) - 3*n(y). Let h be x(-3). Solve -h*c + 9 = c for c. 3 Suppose -431*h = -433*h + 28. Solve -h = n - 17 for n. 3 Let w(s) = -2*s**2 - 3*s. Let l = 8 - 9. Let r be w(l). Let g be 21/4 + r/(-4). Solve 5*u + 10 + g = 0 for u. -3 Let x be 0 + 1 - (2 + -4). Let c(j) be the first derivative of j**3/3 - 5*j**2/2 + 6*j - 5. Let q be c(4). Solve -q*k = k + x for k. -1 Let o(b) = 6*b**2 - 5*b**2 + 0*b**3 + b**3 + 0 + 2. Let p be o(-2). Let n(z) = z**2 + 2*z + 3. Let u be n(p). Solve i + 2 = u for i. 1 Let h be 0 - (-1 + -15*1). Suppose -8 = -15*d + 11*d. Suppose 2*s + 3*b + 15 = 5*s, d*b + 16 = 5*s. Solve -6*m - h = -s*m for m. -4 Suppose -6 = 5*f - 16. Suppose 3*x - f*y - 33 = -5*y, -3*x + 2*y = -8. Let r be 1/(-2) - (-21)/x. Solve -r*p + p = -8 for p. 4 Let x = -305 - -307. Solve -1 - x = -p for p. 3 Suppose -y = 4*g - 24, 2*y = -3*y + 20. Solve 0 = g*t - 0*t + 25 for t. -5 Suppose -114 = -3*r - 3*k, 9*r - 5*k = 8*r + 20. Solve -61 - r = 24*s for s. -4 Suppose -2*m + 12*i - 17*i = -20, -2*m - 2*i + 26 = 0. Solve 39 = -m*g - 6 for g. -3 Let q(u) = 232*u - 5564. Let x be q(24). Let p be (-2)/2 - -2*1. Solve x*t + 11 = -p for t. -3 Suppose 0 = -3*o + 7 + 2. Suppose 0 = 4*y + h - o*h, 0 = -4*h. Let d(m) = -2*m + 51. Let w be d(23). Solve -15 = w*u - y*u for u. -3 Let i(s) = s**3 - s**2 + 2*s + 104. Let u be i(0). Let v = u - 101. Solve 0 = -v*r + 4 - 19 for r. -5 Suppose -4*p - 265 + 285 = 0. Let w be (-2)/(-7) - (-19)/7. Suppose -w*i = 3*x - 30, p*x - 4*i - 16 = x. Solve x = 5*s + 2 for s. 1 Suppose 3*m - 6*m = 5*c - 10,
{ "pile_set_name": "DM Mathematics" }
- r. What is the greatest common factor of 22 and k? 11 Let s(o) = -3*o**3 - 3*o**2 - 3*o - 3. Let k be s(-2). What is the greatest common factor of k and 120? 15 Let c = -3 + 5. Suppose -9 = -n - 4*k, 0 = 3*n - 3*k - 0*k - 12. Suppose n*o - 130 = 2*h, -3*o - c*h + 90 = -4. What is the highest common divisor of 7 and o? 7 Let k be (70 - -2)/2 - 2. Let p = k - 19. Let s(f) = f**3 + 12*f**2 - 14*f + 2. Let d be s(-13). What is the greatest common divisor of p and d? 15 Let n(h) = -h - 1. Let s(w) = -2 - 1 + 2. Let a(q) = -7*n(q) + 6*s(q). Let u be a(1). What is the highest common factor of u and 24? 8 Let q be (-2)/(-3*(-8)/(-300)*5). What is the greatest common factor of 1 and q? 1 Let d(y) = 71*y + 1. Let q be d(1). Let t be (q/(-21))/((-10)/105). Calculate the greatest common factor of 9 and t. 9 Suppose 0 = -29*h + 40*h - 110. Let t(q) = -q**3 - 3*q**2 + 4*q + 2. Let p be t(-4). Let w be 79/p + (-2)/(-4). What is the highest common divisor of w and h? 10 Suppose 2*j + 3*l - 16 = 0, 0 = -j - j + 4*l + 2. Let f be -3 + (j - (6 - 3)). Let o be f - (1 - (17 + -3)). What is the highest common factor of o and 30? 6 Let x(j) = j + 1. Let y be x(1). Let u be 1*2 - 40/(-2). What is the highest common divisor of y and u? 2 Suppose 39 = 4*q - 49. Let f(y) = 51*y + 1. Let t be f(3). What is the greatest common divisor of t and q? 22 Suppose -s + 5*q - 35 = -2*s, -s + 29 = 2*q. Let p(d) = -27*d - 10. Let h be p(-5). Calculate the greatest common factor of s and h. 25 Let t = -20 - -23. Suppose -z + 0*z = -5, 5*z - 20 = 5*n. What is the greatest common divisor of n and t? 1 Suppose 2*x - 21 = 5*y, -3*x - 4*y = -0*y - 66. Let w = x + 17. Suppose 23 = r - 3*u, -r + 57 = 2*r - 5*u. What is the greatest common factor of r and w? 7 Let o(n) = 10*n**3 - n. Let k be o(1). Let f = 17 - k. What is the highest common divisor of f and 8? 8 Suppose 3*f = 45 + 12. Calculate the highest common factor of 19 and f. 19 Let p(d) = 9*d - 92. Let h be p(25). Let z(s) = 18*s**3 + 2*s - 1. Let x be z(1). What is the highest common factor of h and x? 19 Let m = 156 - 51. Suppose -3*u + 41 = 3*l + l, -3*u + l + 46 = 0. Calculate the greatest common factor of m and u. 15 Let m(c) = 13*c**2 - 8*c - 6. Let t be m(-3). What is the greatest common factor of t and 9? 9 Suppose 2*k - 3*k + 1 = 0, 506 = 3*y + 2*k. What is the highest common factor of 21 and y? 21 Let s(j) = j + 3. Let z be s(5). Suppose 8 = p + 4*n, 4*n - z = 6*p - p. Suppose -2*l + l + 6 = p. Calculate the greatest common divisor of 6 and l. 6 Suppose s = b + 23, 0 = -4*s + 2*s - b + 34. Suppose -2*k + 15 = -137. What is the highest common divisor of k and s? 19 Let b = 9 + -1. Let t = -7 - 13. Let a = b - t. Calculate the greatest common factor of 4 and a. 4 Let o(c) = c**2 - 6*c + 4. Let b be o(5). Let m be 1*-1*(0 + b). Suppose -2*f + 5*i - 6 = -40, 5*i - m = -3*f. What is the greatest common divisor of f and 21? 7 Let c = 8 - 29. Let q = -29 - c. Let j = 14 + q. What is the greatest common factor of 15 and j? 3 Let i be 15 - 0 - (0 + -1). Let z be 1726/3 - 6/(-9). Suppose -z = -5*c + c. Calculate the greatest common factor of i and c. 16 Suppose 2*n - 1 - 5 = 0. Let b be n/(-6) + 14/(-4). Let o be (18/b)/(9/(-24)). Calculate the greatest common divisor of o and 6. 6 Suppose -5*w + 2*u + 15 = 0, -3*w = 2*u - 3*u - 9. What is the highest common divisor of w and 27? 3 Suppose 7*u = 2*u - 25. Let d(t) = t**3 + 3*t**2 - 12*t - 9. Let k be d(u). What is the greatest common factor of 8 and k? 1 Suppose 3*h = 5*x + 9 - 3, 0 = -3*x. What is the highest common factor of h and 2? 2 Let a = 127 + -67. What is the highest common factor of 30 and a? 30 Let p = 0 + 1. Let x(g) = g**2 + 9*g + 12. Let m be x(-9). Let j = m + p. What is the highest common divisor of 91 and j? 13 Suppose 0 = -4*v + 8, 0*w - 2 = 2*w - 5*v. What is the greatest common divisor of 1 and w? 1 Let v(c) = 6*c**2 + 4*c + 5. Let p be v(5). Suppose -3*y = -56 - p. What is the greatest common divisor of 7 and y? 7 Suppose v + d - 7 = -2*v, -4*d = 4*v - 12. Suppose -4*z - 3*q = 2*q + 32, 5*z - 4*q = -81. Let n = z + 19. Calculate the highest common divisor of n and v. 2 Let m = 57 + -46. Calculate the greatest common factor of 33 and m. 11 Let p be 0 + 0 + 19 + 0. Let k be -4 + 4 + 41 + -3. Calculate the greatest common factor of p and k. 19 Suppose 6*k - 96 = 4*k. Calculate the greatest common divisor of k and 6. 6 Let o(y) = y**3 - y + 3. Let k be o(0). Let s be 1/(-2) + k/6. Suppose -g - 5*d = 0, -8 = -g - 3*d - s. What is the highest common divisor of 8 and g? 4 Let y be (2/(-4))/((-2)/76). Let z = 130 - 35. What is the highest common divisor of z and y? 19 Let o(m) = 2*m**3 - 2*m**2 + m + 1. Let y be o(2). What is the greatest common divisor of 99 and y? 11 Suppose -2*j + 8 = -2*m, -j - 3*m + 16 = -7*m. Let p = j - -6. Let x be 16/p*(-1 + 7). Calculate the highest common divisor of 16 and x. 16 Suppose -13 = -u + 2*m + 2*m, -3 = -u - m. Suppose u*y - 4 = 6. Suppose -y*d - 2*d = -40. Calculate the highest common factor of d and 2. 2 Let a = -12 - -14. Suppose a*s = 8 + 18. Calculate the greatest common divisor of 65 and s. 13 Let g = -2 - -20. Suppose 0 = -6*c + 3*c - l + 50, 4*c + 4*l - 56 = 0. What is the highest common divisor of c and g? 18 Let t be (-8)/20 + (-104)/(-10). What is the highest common factor of t and 50? 10 Suppose 0 = -12*j + 4*j + 936. Suppose 4*w = 45 + 7. Calculate the greatest common factor of j and w. 13 Let f = 241 - 78. Let t = f - 98. Let u = 101 - t. What is the highest common factor of 12 and u? 12 Suppose 0 = y - 5*y + 24. Suppose -y*n = -n - 105. Suppose -4*r - 46 = -2*g + 2, 3*g - 5*r - 67 = 0. Calculate the greatest common divisor of g and n. 7 Let s(v) = -v + 6*v + 2*v. Let y be s(3). Suppose 0 = -4*q + 133 + 539. Calculate the greatest common divisor of q and y. 21 Suppose -z + 32 = z. Suppose 0 = 2*m - 46 - 34. Calculate the greatest common divisor of m and z. 8 Suppose -2*y + 0*y = -i - 8, -5*i + 12 = 3*y. Let n(h) = 28 - h**2 + y*h - 5*h + 16 + h**3. Let o be n(0). What is the highest common divisor of 4 and o? 4 Let k be (1 - -7) + 2 + -2. Let m(v) = 28*v + 4. Let b be m(3). Calculate the greatest common factor of k and b. 8 Let i be (4/6)/(1/87). Let p be (-12)/54 + i/18. Suppose -3*o - o = -3*f + 195, -2*f + p*o = -129. What is the greatest common factor of f and 23? 23 Suppose -19 = -3*u + 5*k + 19, u = -4*k + 24. What is the greatest common factor of 40 and u? 8 Let w be (3/2 - -1)*4. Let j be (4/3)/(8/60). Calculate the greatest common factor of j and w. 10 Let n be (-41 - 0)*-1 - 1. Let j = n - 23. Calculate the greatest common divisor of j and 17. 17 Let w = 16 - 8. Suppose 2*o + 3*a + a - w = 0, -4*a + 14 = -o. Let p be (-2744)/(-36) + o/9. What is the highest common factor of p and 19? 19 Let m(f) = 2*f - 16. Let w be m(-11). Let h = -16 - w. Suppose 7*r - 2*r - 550 = 0. What is the greatest common factor of h and r? 22 Suppose -4 = x - 2*u, -2*x = 3*x - 4*u - 4. Suppose 160 = p + x*p. Calculate the highest common divisor of 80 and p. 16 Let y(b) = -89*b - 16. Let g(n) = -45*n - 8. Let w(s) = 5*g(s) - 3*y(s). Let x be w(4). Calculate the greatest common factor of x and 22. 22 Let h(x) = x**3 - 2*x**2 + 2*x + 1. Let v be h(2). Suppose -81 = -3*b + 5*p, 3*p + 121 = v*b + 2. What is the highest common divisor of 33 and b? 11 Let n be (-99)/(-6) + (-1)/2. Calculate the highest common divisor of n and 128. 16 Suppose 5*b + 3*u = -0*u + 115, -2*u = 5*b - 110. Let t = b - 11. Suppose t = -s + 22. What is the highest common factor of s and 52? 13 Suppose -2*u = u - 54. Calculate the highest common divisor of 18 and u. 18 Let t(c) = 3*c**3 - 3*c**2 - c - 1. Let p be t(3). Let s be (p/6)/(1/3). Suppose i - 35 = s. Calculate the highest common divisor of 40 and i. 20 Suppose z + i = -0*z + 30, 5*i - 30 = -z. What is the greatest common factor of 12 and z? 6 Let p(g) = 2*g**2 - 2*g + 1. Let h be p(1). Let t be h + 2 - (-107)/1. What is the greatest common factor of 22 and t? 22 Let z be 1 + -8 - (2 - 5). Let d be z + (-4 - -11) + 2. Calculate the highest common divisor of 30 and d. 5 Let b(s) = s**2 - s + 16. Let r be b(-7). Calculate the greatest common factor of 9 and r. 9 Let d be -3 + 47*(0 - 2). Let l = -46 - d.
{ "pile_set_name": "DM Mathematics" }
00*b**3 Let d(q) be the first derivative of 54*q**5/5 - 46*q**3/3 - 7284*q + 8041. Differentiate d(k) wrt k. 216*k**3 - 92*k Suppose 0 = -6*z + z + 640. Suppose 0 = -z*f + 129*f - 1. Differentiate -6 + 28*n + f + 0 with respect to n. 28 Let v(g) be the first derivative of 4819*g**3/3 - 397*g**2/2 - 2802. What is the second derivative of v(x) wrt x? 9638 What is the second derivative of -397*n**3 + 229*n + 260*n - 1992*n + 397*n**3 - 699*n**4 wrt n? -8388*n**2 Suppose -18 = -s + 37. Let d(m) = -s*m - 50*m + 280 - 50*m + 23*m. Let b(o) = -19*o + 40. Let l(p) = -20*b(p) + 3*d(p). Differentiate l(u) wrt u. -16 Let k = -7823/3 + 2610. Let m(j) be the third derivative of 0 + 0*j + 0*j**4 + 8*j**2 - 3/10*j**5 - k*j**3. What is the first derivative of m(t) wrt t? -36*t Let l(v) be the first derivative of -7*v**5/5 - 163*v**4/4 - 4442*v**3/3 + 2081. Find the third derivative of l(c) wrt c. -168*c - 978 Let d(m) = 5569*m**2 + 5843*m. Let w(l) = -5570*l**2 - 5846*l. Let k(z) = 4*d(z) + 3*w(z). Find the second derivative of k(f) wrt f. 11132 Let y(l) be the first derivative of -1809*l**5/5 + 2*l**2 - 51*l - 1243. What is the second derivative of y(g) wrt g? -21708*g**2 Let k(j) = -96*j - 32. Let i(s) be the third derivative of s**4/12 + s**3/6 + 74*s**2. Let n(b) = -4*i(b) + k(b). Find the first derivative of n(a) wrt a. -104 Let s(y) be the third derivative of 3619*y**5/30 - 1201*y**4/8 - 56*y**2 + 27*y + 2. Find the second derivative of s(m) wrt m. 14476 What is the first derivative of 35*y - 744*y - 3987 - 73*y - 435*y wrt y? -1217 Suppose 0 = -3*i - 9, -2*f + 7 = -i - 6. Find the third derivative of 36*n**2 - 5680*n**f + 0 + 1 + 5636*n**5 wrt n. -2640*n**2 Let g(j) be the third derivative of 157*j**6/40 - 817*j**4/24 - 1524*j**2. Find the second derivative of g(h) wrt h. 2826*h Let d(j) be the third derivative of 199*j**4/6 + 3199*j**3/6 + 3110*j**2. Find the first derivative of d(b) wrt b. 796 Let r(g) be the second derivative of -2 + 16*g - 1/30*g**6 + 0*g**4 - 23/2*g**3 + 3/20*g**5 + 0*g**2. Find the second derivative of r(s) wrt s. -12*s**2 + 18*s Let o = -210 - -229. What is the first derivative of 103 + 45*t**3 - 2*t**2 + 11*t - 11*t - o*t**3 wrt t? 78*t**2 - 4*t Let n(y) be the second derivative of 787*y**5/4 + 3*y**4 - 20*y**3/3 + 388*y. Find the third derivative of n(g) wrt g. 23610 Let o(z) = -15*z**2 + 6*z + 51. Let m(j) = -17*j**2 + 5*j + 51. Suppose 0 = 3*h - 123 + 108. Let x(f) = h*o(f) - 6*m(f). Differentiate x(g) with respect to g. 54*g Let u(c) be the second derivative of -167*c + 0*c**3 + 0*c**4 + 56*c**2 + 111/10*c**5 + 0. What is the first derivative of u(g) wrt g? 666*g**2 Suppose -4*h + 2*h = -20. Let s be (-5)/h*4 - -11. Find the third derivative of 8*z**2 - s*z**3 - 5*z**2 - 6*z**2 wrt z. -54 Let a(o) = -4167*o**2 - 9*o - 1708. Let x(w) = -2083*w**2 - 4*w - 852. Let y(g) = 3*a(g) - 7*x(g). What is the derivative of y(c) wrt c? 4160*c + 1 Let z be (-1)/((2/38)/(-1)). Let u(j) = -32*j - 462. Let c be u(-15). Find the second derivative of -8*q + z*q**2 + 4*q - 2*q - c*q wrt q. 38 Let f(o) = 8440*o**2 - 18*o + 47299. Let m(l) = 10550*l**2 - 22*l + 59122. Let t(y) = -11*f(y) + 9*m(y). What is the derivative of t(h) wrt h? 4220*h Let y(s) be the second derivative of -1/30*s**6 + 0*s**2 + 0 + 17/3*s**4 + 39/5*s**5 - 124*s + 0*s**3. Find the third derivative of y(n) wrt n. -24*n + 936 Let u(x) = 2422*x**2 + 12*x + 82. Let b(f) = -2*f**2 + f - 3. Let o(h) = -12*b(h) + u(h). Find the first derivative of o(w) wrt w. 4892*w Find the second derivative of 33837*u + 78 + 722*u**5 + 648*u**5 - 33834*u + 685*u**5 wrt u. 41100*u**3 Let o be (-584)/(1 - 9) - (-9)/3. What is the derivative of 4451*x**2 - 4338*x**2 + 44 + o + 119 wrt x? 226*x Let i(z) be the first derivative of 4*z**3 + 4*z - 23/2*z**2 - 25. Let m(b) = -b**2 + b - 1. Let k(h) = i(h) + 4*m(h). Find the second derivative of k(d) wrt d. 16 Let h(d) = d + 5. Let z be h(-3). Find the third derivative of -57*i**3 + 95*i**2 - 3*i - z*i**3 + 3*i wrt i. -354 Let y(d) be the third derivative of 9*d**6/10 + 3*d**5/10 + 7*d**3 - 34*d**2. Let q(a) = a**3 - 2*a**2 - 2. Let u(c) = -9*q(c) - y(c). Differentiate u(n) wrt n. -351*n**2 Find the third derivative of 279*g**2 + 285*g**2 - 983*g**6 - 193 - 503*g**6 - 563*g**2 wrt g. -178320*g**3 Suppose 0 = 3*d - 4*s - 18, 3*s - 7 = 4*d + 8*s. Differentiate 97*m**2 - 111 - 59*m**2 + 88*m**d wrt m. 252*m Let y(k) = -1010*k**2 + 5*k + 161. Let o(r) = -1010*r**2 + 4*r + 165. Let m(h) = 5*o(h) - 4*y(h). Differentiate m(n) wrt n. -2020*n Suppose 26*s - 574 = 12*s. Differentiate -29 - s*f**3 - 57 + 157*f**3 with respect to f. 348*f**2 What is the third derivative of 781*p**6 + 29*p**5 - 1576*p**6 - 1075*p**2 + 789*p**6 wrt p? -720*p**3 + 1740*p**2 Let n(l) = l + 4*l**3 + 2*l**2 - 2 + l**2 - 2*l**2. Let k be n(1). What is the derivative of -15*x**k - 3 - 11 - 9*x**4 - 1 wrt x? -96*x**3 Let l(d) = d**2 - 6*d + 387. Let a be l(0). What is the third derivative of -19*f**4 + f**2 - a*f**5 + 61 + 194*f**5 + 198*f**5 wrt f? 300*f**2 - 456*f Let i(s) be the third derivative of 0 + 0*s + 0*s**4 + 12*s**2 - 59/30*s**5 + 37/6*s**3. Differentiate i(u) with respect to u. -236*u Let p(v) be the first derivative of 0*v**4 - 23 - 221/6*v**6 + 19/3*v**3 - v**2 + 0*v**5 + 0*v. What is the third derivative of p(r) wrt r? -13260*r**2 Let j(p) be the second derivative of 6*p**4 - p**3/2 + 23*p**2/2 + 6*p + 42. Find the second derivative of j(z) wrt z. 144 Let v(w) be the second derivative of -2*w**7/7 - 7*w**6/30 + 2239*w**4/12 - 1087*w. What is the third derivative of v(x) wrt x? -720*x**2 - 168*x Let x(y) be the first derivative of -338*y**2 + 697*y + 1171. What is the derivative of x(v) wrt v? -676 Let k(s) = 5*s - 76. Suppose j - 6*j - 15 = 0. Let u(f) = 14*f - 227. Let m(y) = j*u(y) + 8*k(y). What is the derivative of m(i) wrt i? -2 Let h(v) be the third derivative of -v**6/120 + 29*v**5/10 + 531*v**3 - v**2 - 45*v. What is the derivative of h(s) wrt s? -3*s**2 + 348*s What is the derivative of -2180*h + 1125 + 341 - 3621 wrt h? -2180 Let m(d) = -d**3 - 4*d**2 + 3. Let j be m(0). Let i(r) be the first derivative of 0*r - 8 + 4/3*r**j - 3/2*r**2. Find the second derivative of i(s) wrt s. 8 Let l = 2 + 4. Suppose -3*p + p - 2*t + 22 = 0, -3*p = t - 43. What is the second derivative of p*q**3 + 32*q - l*q - 4*q + 15*q wrt q? 96*q Let n(z) be the third derivative of -1991*z**6/40 + 4841*z**3/6 - 2621*z**2. Differentiate n(t) wrt t. -17919*t**2 Let t(v) be the first derivative of 1/4*v**4 - 31 + 3/2*v**2 + 34/3*v**3 - v. What is the second derivative of t(k) wrt k? 6*k + 68 Let w(b) = 31*b - 301. Let u be w(11). Find the second derivative of -17*p + 2 + u*p**4 + 22*p**4 + 63*p + 62*p**4 - 35*p**4 wrt p. 1068*p**2 Let v(k) = 1454*k**4 + 3*k**3 - 6*k**2 - 1253. Let h(w) = 4362*w**4 + 8*w**3 - 16*w**2 - 3758. Let o(u) = 3*h(u) - 8*v(u). Differentiate o(z) wrt z. 5816*z**3 Find the third derivative of -174*g**2 + g**4 + 134*g**5 + 199*g**5 - g**4 + 176*g**2 + 2169 wrt g. 19980*g**2 Suppose -20 = -4*x + 3*x. Let q = 22 - x. Find the third derivative of 13*b**2 - b**2 + 5*b**4 + 3*b**q + 4*b**4 wrt b. 216*b Let l(v) be the first derivative of -47/6*v**6 + 2*v - v**2 + 0*v**5 + 0*v**3 - 18 + 0*v**4. What is the second derivative of l(x) wrt x? -940*x**3 Let t = 270 - 166. Suppose -7*i + t = -162. What is the third derivative of -1815*p**6 + 3*p**2 + 1780*p**6 + i*p**2 wrt p? -4200*p**3 Let a(z) be the second derivative of 3 + 1/6*z**3 + 0*z**2 - 1/2*z**4 + 0*z**5 + 8*z + 2/15*z**6. What is the second derivative of a(f) wrt f? 48*f**2 - 12 Let s(c) = 64*c + 67. Let z be s(5). Find the third derivative of 5 - z*a - 16*a**2 + 387*a - 108*a**3 wrt a. -648 Let f(k) be the first derivative of -39/2*k**2 + 0*k**4 + 0*k + 75 + 0*k**5 - 19/6*k**6 + 0*k**3. What is the second derivative of f(g) wrt g? -380*g**3 Let f(j) = 6*j**4 - 67*j**3 - 2114*j + 5. Let s(y) = 9*y**4 - 100*y**3 - 3171*y + 8. Let v(x) = -8*f(x) + 5*s(x). What is the second derivative of v(g) wrt g? -36*g**2 + 216*g Let p(h) = -h**2 - 8*h + 21. Let b be p(-8). What is the derivative of -13 - 28 - b + 20 - 38*d wrt d? -38 Let l(r) be the first derivative of -126 - 79/2*r**4 + 0*r**3 + 0*r**2 - 9*r. Find the first derivative o
{ "pile_set_name": "DM Mathematics" }
nd the second derivative of w(c) wrt c. 372*c - 26 Let r(f) be the first derivative of -112 + 0*f - 23/2*f**2 - 203/3*f**3. Find the second derivative of r(a) wrt a. -406 Let v(h) be the third derivative of -h**8/42 - 23*h**6/40 - 13*h**4/8 - 2*h**3 + 2539*h**2. Find the second derivative of v(k) wrt k. -160*k**3 - 414*k Let u(h) be the third derivative of 421*h**5/60 + 160*h**4 + 3*h**2 - 87*h + 2. Find the second derivative of u(y) wrt y. 842 Let x(b) be the second derivative of -b**6/30 + 61*b**4/12 + 791*b**3/6 - 667*b. Find the second derivative of x(d) wrt d. -12*d**2 + 122 Find the third derivative of 3*v**3 + 9419*v**2 - 6*v**4 - 10310*v**2 - 29*v**4 wrt v. -840*v + 18 Let w(u) = 24*u - 21. Let r be w(9). Find the second derivative of 4*q**2 + r*q**2 - 22*q**2 + 83*q wrt q. 354 Let q = -162 + 187. What is the second derivative of 11*p**4 - q*p - 29*p - 8*p + 34*p wrt p? 132*p**2 Let k(o) be the first derivative of 0*o + 0*o**2 + 0*o**5 - 33/2*o**6 + 0*o**4 + 236/3*o**3 - 163. Find the third derivative of k(h) wrt h. -5940*h**2 Suppose -350 = -v - 346. Let i(o) be the third derivative of 0 + 0*o**3 - 1/60*o**5 + 0*o + 1/6*o**v + 6*o**2. Find the second derivative of i(f) wrt f. -2 Find the first derivative of 58*w + 283*w**2 - 2900 + 298*w**2 - 585*w**2 wrt w. -8*w + 58 Let t = 25 - 21. Suppose 3*c - 8 = -d, -t*c - d = 3*d. Find the third derivative of c*z**2 + 20*z**5 - 4 + 13 - 9 wrt z. 1200*z**2 Let i = 34 - 29. Suppose i*n - 4*n = -3*a - 10, -2*a - 30 = -4*n. Find the second derivative of 9*j**2 + n*j - 7*j - 5*j + j**2 wrt j. 20 Find the second derivative of -1278*m**4 - 5295*m + 1281*m**4 - 12*m**3 + 54*m**2 - 3287*m wrt m. 36*m**2 - 72*m + 108 Let k(i) be the second derivative of 713*i**5/10 - 383*i**2 + i - 200. Find the first derivative of k(c) wrt c. 4278*c**2 Let f(x) be the third derivative of -91*x**6/720 - 97*x**5/60 - 223*x**4/24 - 8*x**2 - 3. Let q(y) be the second derivative of f(y). Differentiate q(v) wrt v. -91 Let b(z) be the third derivative of -2083*z**4/24 + 1247*z**3/3 - 4*z**2 + 77. Differentiate b(a) with respect to a. -2083 What is the second derivative of 85686*n**3 - 18 + 187*n - 85686*n**3 - 12553*n**4 wrt n? -150636*n**2 Suppose p = 13*p - 24. Find the third derivative of 26*k**2 + 0*k**p + 5*k**2 + 13*k**3 wrt k. 78 Find the second derivative of -233 + 180*l - 182*l + 1713*l**3 - 214 - 419*l**3 wrt l. 7764*l Let v(t) be the third derivative of -2*t - 107/6*t**3 - 109/60*t**5 + 0 - 33*t**2 + 0*t**4. What is the derivative of v(h) wrt h? -218*h Let b(a) be the third derivative of -1403*a**7/210 - a**6/120 - 3*a**5/4 - a**3/3 + 26*a**2 + 15. Find the third derivative of b(c) wrt c. -33672*c - 6 Differentiate -7*z + 349*z**2 + 288*z**2 + 7*z + 98*z**2 - 535 with respect to z. 1470*z Suppose 10*z = 14*z - 20. Suppose z*c + 24 = 6*c. Find the third derivative of 20*p**2 + 35*p**4 - c*p**4 - 29*p**4 wrt p. -432*p Let v(f) = -6*f**2 - 30*f + 3. Let j be v(-5). Find the second derivative of 6 - 3*n + 325*n**2 - 70*n**2 - j wrt n. 510 Let q be (3 + (-14)/6)/((-8)/(-384)). What is the second derivative of -23*d - 52*d + q*d**3 - 14*d wrt d? 192*d Let r = -11 + 16. Suppose 0 = o - 7*o + 36. What is the third derivative of 15*a**2 - r*a**o - 17*a**2 + a**4 - a**4 wrt a? -600*a**3 Let o be -1*(0/1)/(4 + -2). Let g(u) be the second derivative of 0 - 17/3*u**3 + o*u**2 + 27*u + 19/6*u**4. Find the second derivative of g(i) wrt i. 76 Let o be ((-79)/237)/(((-1)/6)/1). What is the first derivative of 42 + 7 - 12 + 25 - 187*x**4 - o + x**3 wrt x? -748*x**3 + 3*x**2 Let r = 73 - 68. Suppose r*z = 10 - 0. Find the second derivative of 2*y + 8*y**z - 18*y**3 - 6*y**2 - 2*y**2 wrt y. -108*y Let w(a) be the first derivative of 5*a**4/2 + 41*a**2/2 + 10014*a - 1193. Differentiate w(t) wrt t. 30*t**2 + 41 Let l(y) be the first derivative of 92*y**6 - y**5/5 - 597*y**2/2 + 1543. What is the second derivative of l(q) wrt q? 11040*q**3 - 12*q**2 Suppose 3*i + 31 = 5*t - 63, -4*t - 3*i = -59. Find the second derivative of t*s - 247*s**2 + 97*s - 14*s wrt s. -494 Let u(r) be the first derivative of 3*r**5 + 6*r**4 + r**3 + 1529*r + 1725. Differentiate u(g) wrt g. 60*g**3 + 72*g**2 + 6*g Let h(r) be the first derivative of -51*r**6/2 - r**4/2 - 5*r**3 - 54*r + 602. Find the third derivative of h(f) wrt f. -9180*f**2 - 12 Let m be 1*(-1)/3 + (-870)/(-261). What is the first derivative of -u**m - 32 + 24 + 23*u - 28 + 2*u**3 wrt u? 3*u**2 + 23 What is the third derivative of -4110*x**2 - 650*x**4 - 714*x + 357*x + 357*x - 1142*x**4 wrt x? -43008*x What is the second derivative of 2*v**3 + 31679*v**5 - 2*v**3 - 34553*v**5 + 6211*v wrt v? -57480*v**3 Let v(p) be the second derivative of 17*p**4/3 - 136*p**3/3 + 3*p**2/2 + 26*p - 12. Find the second derivative of v(y) wrt y. 136 Let i be 3*4/24 + ((-220)/5)/(-11). Let r(g) be the second derivative of -16*g + 0*g**3 + 0 + i*g**2 + 5/12*g**4. Differentiate r(m) wrt m. 10*m Let y(p) = 598*p - 3919. Let i(x) = 595*x - 3925. Let u(g) = -4*i(g) + 3*y(g). What is the first derivative of u(o) wrt o? -586 Suppose -5*m + 4*t = -21, -3*m = -4*m - t + 6. What is the third derivative of z + 2*z**5 + 9 - 9 + 37*z**m - 2*z**2 wrt z? 2340*z**2 Let c = 945 - 912. Find the second derivative of 20*q**2 + 33*q**2 + 35*q**2 + 187*q - 25*q**2 + c*q**2 wrt q. 192 Let u(w) = 2*w + 77. Let l be u(-33). What is the derivative of -8*v**2 + 2*v**2 - v**4 - l + 3*v**4 - 35 wrt v? 8*v**3 - 12*v Differentiate 681 - 45 - 30*y**2 + 709*y**2 + 699 with respect to y. 1358*y Suppose -3*p + 4*d + 20 = 0, 0*p - 2*p + 10 = -2*d. Suppose p*j + 58 = 3*b + j, 3*j = -4*b + 84. Find the first derivative of -69 + 2*q**4 + 75 + b*q**4 wrt q. 80*q**3 Let k = 141 + -139. Differentiate 58*n**k + 296 + 293 - 576 with respect to n. 116*n Let k(u) be the second derivative of -635*u**4/3 + 1174*u**3/3 - 1892*u. Find the second derivative of k(v) wrt v. -5080 Let y be 2/(-6) + 4/12*-14. Let v be 4/(-5)*(0 + y). Find the third derivative of -21*g**v + 18*g**2 - 10*g**3 + 10*g**3 + g**2 wrt g. -504*g Let a = 64 + 27. Let n = -65 + a. What is the second derivative of n*p**5 - 20*p**5 + 18*p**5 + 33*p wrt p? 480*p**3 Let z(j) be the first derivative of -13*j**3 - 95/6*j**6 + 0*j**2 - 51 + 0*j + 0*j**4 + 0*j**5. What is the third derivative of z(y) wrt y? -5700*y**2 Find the third derivative of -45*l**2 + 31*l**4 + 43*l**2 - 25*l**3 + 20*l**3 - 682 wrt l. 744*l - 30 Let d = 3026 + -3023. Suppose -4*v = -4*y - 104, y + 64 = 5*v - 70. What is the second derivative of 14*g**d + v*g**3 - 4*g**3 - 7*g**3 - 16*g wrt g? 180*g Let f(a) be the third derivative of 73*a**2 + 13/30*a**5 - 5/6*a**4 + 0 + 0*a - 1/6*a**3. Find the second derivative of f(x) wrt x. 52 Let h(q) be the second derivative of 0 - 4/3*q**3 - 37/2*q**2 - 29*q. What is the derivative of h(w) wrt w? -8 Suppose -4 = -7*m + 10. Differentiate 28*r**4 + 51 - 387*r**m + 387*r**2 wrt r. 112*r**3 Differentiate -1270 - 1560 + 658 + 340*b**3 with respect to b. 1020*b**2 Let r(s) be the first derivative of 0*s - 61/3*s**3 - 55/4*s**4 + 0*s**5 + 0*s**2 - 3 + 1/3*s**6. Find the third derivative of r(z) wrt z. 120*z**2 - 330 Let y be 2295/10*(4/(-3))/(-1). Suppose y = -0*z + 17*z. Find the second derivative of -30*g**5 - 47*g**5 + 33*g**5 + 0*g + z*g wrt g. -880*g**3 Let g(h) be the second derivative of h**4/4 - 95*h**3/6 + 849*h**2/2 - 718*h - 1. Differentiate g(i) wrt i. 6*i - 95 Suppose 3 = 5*z + 3*i - 2, -z + 2*i + 14 = 0. Differentiate 122*f**4 - 180*f**z + 101*f**4 + 27 wrt f. 172*f**3 What is the third derivative of -2883*j**2 - 5484*j**5 - 5974*j**2 - 6210*j**3 + 6208*j**3 wrt j? -329040*j**2 - 12 Let w(r) = -2*r + 2. Let n be w(5). Let j = 8 - n. What is the third derivative of -6*z**5 - 6*z**2 - 28*z**2 + j*z**2 - 8*z**5 wrt z? -840*z**2 Let h(b) be the third derivative of -731*b**6/24 + 47*b**5/10 - b**4/8 - 1418*b**2 - b - 2. Find the third derivative of h(v) wrt v. -21930 Let i(c) be the second derivative of 31*c**5/60 - 31*c**3/3 + 34*c**2 - 13*c. Let t(x) be the first derivative of i(x). Differentiate t(d) with respect to d. 62*d Find the third derivative of 9 - 380*g**5 + 51*g**2 + 4 + g**2 - 119*g**5 wrt g. -29940*g**2 Find the third derivative of 972*n**4 - 123*n**6 - 353*n**2 + 7*
{ "pile_set_name": "DM Mathematics" }
False Is 566054226 a multiple of 25? False Is 2645058527 a multiple of 47? True Does 30 divide 91217477? False Is 146669502 a multiple of 2942? False Does 5022 divide 2973157460? False Is 608 a factor of 8483032? False Is 317930277 a multiple of 8? False Is 44 a factor of 7013468? True Is 5 a factor of 805836369? False Is 414943 a multiple of 21? False Is 13 a factor of 714629467? False Is 312 a factor of 1130145744? True Does 713 divide 770052812? False Is 807071661 a multiple of 33? True Is 30 a factor of 34002750? True Does 945 divide 26066435? False Does 746 divide 53702858? False Is 701666524 a multiple of 207? False Is 1899 a factor of 118913720? False Does 11 divide 316941089? False Is 18322940 a multiple of 75? False Does 68 divide 129484065? False Does 41 divide 8759753? False Does 448 divide 648196864? True Is 44638358 a multiple of 421? False Does 12 divide 1637414472? True Is 1700947 even? False Is 613666 a multiple of 10? False Is 139 a factor of 3574055? False Does 181 divide 311382988? True Is 3025 a factor of 567227038? False Is 103700698 a multiple of 173? True Is 31 a factor of 174721725? False Is 12680048 a multiple of 37? True Does 159 divide 172736478? False Is 551 a factor of 153890443? True Does 171 divide 10753506? True Does 69 divide 93506511? False Does 103 divide 23422658? False Is 861236265 a multiple of 713? True Is 40 a factor of 2349580271? False Does 160 divide 590206852? False Does 15 divide 54949572? False Does 12 divide 2263892316? True Does 16 divide 1007104? True Does 181 divide 2147802291? True Does 100 divide 644835969? False Does 63 divide 740997747? True Is 1173783352 a multiple of 4? True Is 825 a factor of 1762570831? False Does 119 divide 194335449? True Is 165 a factor of 2559172? False Is 9 a factor of 169579323? True Is 21 a factor of 226312595? False Is 34 a factor of 1961018? True Does 79 divide 1414236855? False Does 311 divide 11255090? True Is 5365990 a multiple of 49? True Is 7374237 a multiple of 15? False Is 48054825 a multiple of 455? True Does 2315 divide 2247221601? False Does 22 divide 209504621? False Is 53231754 a multiple of 519? True Is 1556 a factor of 151906975? False Does 462 divide 38701238? False Is 224 a factor of 14818653? False Does 6 divide 358436394? True Is 338 a factor of 33595783? False Does 18 divide 2166315912? True Is 11 a factor of 17036004? False Is 195606752 a multiple of 23? False Is 75915476 a multiple of 3172? True Does 159 divide 32633319? True Is 2881 a factor of 18634308? True Does 44 divide 336655968? True Is 581 a factor of 2466876034? True Is 562 a factor of 56119628? False Is 67632757 a multiple of 1921? False Does 3 divide 150278499? True Does 17 divide 3619260? False Does 30 divide 62647646? False Does 19 divide 21361529? True Is 738819064 a multiple of 442? False Does 3 divide 245442968? False Is 393 a factor of 30611163? True Is 1597976 a multiple of 1124? False Is 238 a factor of 279522486? False Does 1051 divide 468884732? True Is 659949024 a multiple of 395? False Does 500 divide 166251740? False Is 76607718 a multiple of 163? True Does 32 divide 16086091? False Is 842098548 a multiple of 5? False Is 267497510 a multiple of 10? True Is 15983368 a multiple of 69? False Does 7 divide 30402420? False Is 6255030 a multiple of 30? True Is 106452864 a multiple of 516? True Does 576 divide 88943040? True Is 1081450035 a multiple of 279? True Is 225562134 a multiple of 21? True Is 204 a factor of 28014153? False Is 16361860 a multiple of 25? False Does 28 divide 7075712? True Does 1471 divide 4262909? False Does 22 divide 1201241831? False Does 3 divide 70811004? True Is 67518498 a multiple of 4? False Is 26 a factor of 20581937? False Is 62 a factor of 207591190? True Is 17159412 a multiple of 1954? False Is 28297892 a multiple of 14? True Is 164 a factor of 327771079? False Is 244630413 a multiple of 32? False Does 371 divide 10863251? True Does 31 divide 1628070? False Is 963 a factor of 21841803? True Is 7647424 a multiple of 662? True Does 15 divide 373084110? True Is 1846 a factor of 14086826? True Is 99 a factor of 24309281? False Is 3186077760 a multiple of 1472? True Is 580 a factor of 231256408? False Does 2258 divide 144177207? False Is 181 a factor of 432383738? False Is 324858050 a multiple of 20? False Is 63912326 a multiple of 976? False Is 166223323 a multiple of 18? False Is 1543473555 a multiple of 9885? True Does 3 divide 33811267? False Is 949072680 a multiple of 6? True Is 95093016 a multiple of 1338? False Is 30 a factor of 5990460? True Does 2650 divide 460259950? True Does 6 divide 7711359? False Does 71 divide 60866880? True Is 201390 a multiple of 35? True Is 8 a factor of 43878795? False Does 325 divide 79853475? True Does 27 divide 348553746? True Is 2777630933 a multiple of 14? False Does 1109 divide 35955524? False Is 146 a factor of 329645109? False Does 1671 divide 887179017? True Is 21 a factor of 263758610? False Does 27 divide 39312939? False Is 160722468 a multiple of 324? True Is 66944308 a multiple of 1558? False Is 339351792 a multiple of 2? True Is 70 a factor of 1165549435? False Does 147 divide 2340361136? False Is 850 a factor of 9995851? False Is 67029885 a multiple of 117? True Is 12116 a factor of 3479017166? False Is 4375 a factor of 587024612? False Does 11 divide 21561453? False Is 17898060 a multiple of 995? True Is 135439227 a multiple of 130? False Is 4262 a factor of 253077504? False Does 114 divide 17702298? False Is 20 a factor of 134398777? False Is 118 a factor of 1539177093? False Does 218 divide 56569479? False Is 71233692 a multiple of 73? True Is 277256 a multiple of 7? True Does 116 divide 39933348? True Is 692640 a multiple of 80? True Is 35173108 a multiple of 3755? False Is 756 a factor of 87637159? False Is 20 a factor of 140850966? False Does 1504 divide 144140590? False Does 122 divide 249150230? True Is 11 a factor of 73316219? False Is 5 a factor of 1778781? False Does 52 divide 3022318? False Does 9 divide 29399585? False Is 615 a factor of 365146410? True Is 1676 a factor of 1199767936? False Is 1108 a factor of 1355082524? False Is 320 a factor of 65724331? False Is 2003320464 a multiple of 1143? False Is 1166 a factor of 62384036? False Is 27 a factor of 170504128? False Is 75 a factor of 190659525? True Is 461361840 a multiple of 40? True Is 16 a factor of 164814656? True Is 114 a factor of 536918454? True Is 32596051 a multiple of 47? True Is 9517658 a multiple of 99? False Is 1558 a factor of 140456816? True Is 315 a factor of 43004135? False Does 22 divide 246701680? False Does 248 divide 66925528? True Is 1334 a factor of 3009078454? True Is 373845990 a multiple of 3? True Is 21398887 a multiple of 20? False Does 164 divide 18401185? False Does 94 divide 1124459302? True Does 190 divide 4840630? True Is 50 a factor of 149390490? False Is 155 a factor of 414315? True Is 133 a factor of 59634046? False Does 28 divide 63490812? True Does 189 divide 13188798? True Is 43748319 a multiple of 8? False Is 283 a factor of 4665903070? True Does 130 divide 1227753540? True Does 48 divide 188255039? False Does 9 divide 23027391? True Is 58 a factor of 600746625? False Is 159370911 a multiple of 1119? False Does 21 divide 241565016? True Does 8 divide 84898129? False Is 244364771 a multiple of 4? False Is 2114550 a multiple of 333? True Is 166 a factor of 2360520? True Is 1268 a factor of 479910104? True Is 6037359 a multiple of 10? False Is 515233070 a multiple of 10? True Is 219 a factor of 18131405? False Is 25874794 a multiple of 35? False Is 12 a factor of 566138292? True Does 18 divide 3873303? False Does 181 divide 38960069? True Does 14 divide 29535284? False Is 994764106 a multiple of 2641? False Is 16 a factor of 80186016? True Is 177 a factor of 10285655? False Is 118 a factor of 83741650? True Is 5444017304 a multiple of 187? True Does 3102 divide 443742911? False Is 367 a factor of 721531634? False Is 8 a factor of 6217086? False Is 85080249 a multiple of 78? False Is 423596839 a multiple of 369? False Does 77 divide 902884883? False Is 6 a factor of 1079996250? True Does 485 divide 7763880? True Is 274 a factor of 430971214? False Does 141 divide 628756929? True Does 20
{ "pile_set_name": "DM Mathematics" }
n 2, s, 3? s Let u = -15.29 - -15.39. What is the nearest to u in 0.2, -5/4, -0.3? 0.2 Let v = 5.33 + 1.27. Let r = 6.4 - v. What is the closest to 0.1 in 3, -1/7, r? -1/7 Let a = 2.85 - 2.85. Let c = -13 - -17. What is the nearest to -14 in c, a, 3/2? a Let z be -2 + (85 - 5) + 1*4. Let r = z - 83. What is the closest to -2/3 in -2/9, 2/11, r? r Let f = -74.9 + 74.6. Which is the nearest to 0.1? (a) 4 (b) 3 (c) -0.01 (d) f c Let n = -41 + 41. Which is the nearest to 4? (a) 3 (b) n (c) 0.3 a Suppose 4*p = 6*p + 4, 2*k = -5*p + 6. Suppose 51*i = 49*i + k. What is the nearest to 2 in -2, i, 5? i Suppose -3*p - 2*h = -32, h - 51 = 3*p - 7*p. Let o = -43/3 + p. What is the nearest to -1 in 0, 7/4, o? o Let y = -6.5 - -10.5. What is the nearest to 2/17 in 6, -4, y? y Let p = -0.54 + 0.2. Let l = p + 0.04. Which is the closest to -2/9? (a) 4 (b) -3/4 (c) l c Let g = 108.39 - 0.39. Let y = -109.13 + g. Let l = -0.13 - y. What is the closest to l in 1, -5, -4? 1 Let j(o) = -67*o + 3. Let v be j(-1). Let p = v - -47. Let t be (-4)/7 - p/(-364). What is the nearest to -2/7 in 0.1, 0.3, t? t Suppose -2*m - 3*g + 7*g + 28 = 0, m = -2*g - 6. Let u be 0 - -4 - 132/24. Which is the closest to 0? (a) u (b) -1 (c) m b Let r = -0.08 - -0.1. Let i = 0.5 + 1. Let v = i + -1.8. Which is the nearest to 0.1? (a) v (b) -5 (c) r c Let p(o) = -3*o + 1 + 10*o - 5*o - 9. Let i be p(5). Let a be (-9)/(-7)*i/6. What is the closest to -0.2 in a, 3, 1/7? 1/7 Let d be 6/(-2)*1/(-6). Let i be 16/(-20)*-9*(0 + -6). Let r = i + 1497/35. Which is the closest to d? (a) 0 (b) r (c) -1 a Let q = -229 + 229. What is the nearest to -14 in 5, -5/4, q? -5/4 Let s = -0.603 - -73.603. Which is the closest to -1? (a) 0.3 (b) 2 (c) s a Let o = 0.4028 + -0.0028. Which is the closest to 2/3? (a) -6 (b) o (c) -2 b Let q = -6 - -6. Suppose -4*k + q*k - 4 = 0. Let p = 133/3 - 44. Which is the closest to p? (a) k (b) 1/2 (c) -1/2 b Suppose 5*y + 2 = 5*u + 7, 4*y = -4*u - 4. Let w = 1214 + -1212. Which is the nearest to u? (a) 0.04 (b) -5 (c) w a Let d = -0.61 - -0.11. Let q = d + 4.5. What is the closest to -2 in q, -5, 0? 0 Let g = 125.38 - 125. Let c = -0.28 + 0.3. Let n = c + g. What is the nearest to 0 in n, 5, 0.1? 0.1 Let u = -5 - -9. Let n = -360 + 360.4. Let m = 3.4 + -0.4. Which is the closest to -0.1? (a) u (b) m (c) n c Let g be (-387)/(-45) - 4 - (2 - -3). Let w = -1 - -3. Which is the nearest to w? (a) g (b) -3/4 (c) 0 c Let p = 4.93 - 6.93. Which is the closest to 18? (a) 1/5 (b) -4 (c) 0.5 (d) p c Let t be 42/18*32/560. What is the nearest to 199 in t, -1/2, 0.4? 0.4 Let r = -2.2 - -2. Let j = -0.035 - 0.065. Which is the closest to -2/7? (a) r (b) j (c) -4 a Let z(s) = -24*s - 364. Let p be z(-15). Let r = 2 - 0. What is the closest to r in p, 0.3, 2? 2 Let t = 3.608 - -0.392. Which is the nearest to 0.1? (a) -1 (b) 5 (c) t a Let c = -12 - -6. Let n(b) = 2*b + 9. Let p be n(c). Let h = 5.5 - 5. What is the closest to 1 in h, p, -1? h Let n = 566 + -566. What is the nearest to n in -0.12, 0.3, -3? -0.12 Let g be (-3)/(-78)*(17 + 462/(-44)). Let l = -33/4 - -8. Let f = -0.1 + 1.1. What is the closest to g in l, f, 4? l Let g = -1423.3 - -1423. What is the nearest to -1 in 0.023, g, 3/7, 5? g Suppose -4*s - 11*k - 41 = -6*k, s = -3*k - 19. Let w = 13 + -13.1. Which is the closest to w? (a) s (b) -1 (c) -5 b Suppose 3*f - 205 = -37. Let s be (-23)/f - 2/(-7). Let p = 9.53 + -9.03. Which is the nearest to 2? (a) s (b) 2/3 (c) p b Let i = -19.943 - 0.057. Let f = i - -20.3. Which is the closest to -1? (a) -0.2 (b) 1 (c) f a Let v = -2934 + 20536/7. Which is the closest to v? (a) 2 (b) -0.05 (c) 4/7 (d) 2/7 b Let w = -8 + 9. Let m = 51 - 49. Which is the nearest to 1? (a) w (b) m (c) 0.3 a Let y = -217.97 - -218. Which is the nearest to 0.2? (a) y (b) 0 (c) -4 a Let s(g) = -g**3 + g**2 + 4*g + 10. Let h be s(3). Let o = -5 + 5. What is the nearest to 1/4 in o, 2, h? o Let p = 11 - 9. Let v = -4 - -4.3. Let f = 2.94 - -0.06. Which is the closest to 0.1? (a) p (b) f (c) v c Let w = -115 + 115.4. What is the closest to -3 in -3/4, 2/19, w? -3/4 Suppose 0 = k - 3*k - 4. Let u be 40/(-70)*k/4. Let x = -0.5 + 0.4. Which is the closest to u? (a) x (b) 0.1 (c) -0.4 b Let g = 41 - 58. Let k = -0.013 - -17.013. Let n = k + g. Which is the nearest to -6? (a) -5 (b) n (c) 4/9 a Suppose 0 = -5*z - 3*d + 10 + 8, 0 = -2*z + 4*d + 2. Let k be (6/35)/(z/10). What is the closest to k in -0.5, 0.3, 4? 0.3 Let i = 17.2 + -16. Let g = -42.9 - -43. Which is the closest to i? (a) g (b) 2 (c) -1 b Let i = -3 + 2.9. Let o = 0.671 + -0.76. Let c = 0.211 - o. What is the closest to -1/3 in -3, c, i? i Let z = 6 + -5.6. Let g = -2 - -5. Let v = 0.05 - -3.95. Which is the closest to 1? (a) z (b) g (c) v a Let r = 120931/142560 - 82/891. Let b = -5/32 + r. Let m = -2/121 + -115/363. What is the nearest to b in 2/9, m, -5? 2/9 Let w = -186 - -185. What is the nearest to 0.1 in w, -4/9, -3? -4/9 Let j = -6 + 4. Let z = 2516 + -2515. What is the closest to z in j, -0.3, -5? -0.3 Let l = 0.1087 + -0.1087. Which is the closest to l? (a) 2 (b) -1.6 (c) -5 (d) 1 d Let i = -2.52 + 3.22. What is the nearest to 0 in -5, i, 0.4? 0.4 Suppose -6*z = -z - 25. Suppose 2*s - 6*q + 7*q - 1 = 0, -15 = 3*q. What is the nearest to 1 in -7, s, z? s Let y = -5.95 - -5.95. Let t be (0 - -1) + 190/(-210). What is the nearest to -0.2 in 0.1, t, y? y Let l = -1568 - -1571. Which is the nearest to -0.1? (a) l (b) 2 (c) -110/13 b Let b = 19282 + -19285. Let i = 1 + -1. What is the closest to i in 2, b, -0.3? -0.3 Let i = 1 - 1. Let v = 16457 + -16461. What is the closest to -2/7 in 1/2, v, i? i Let y be (-39)/(-9) - (-1 - -8 - 2). Which is the closest to -1/4? (a) 1/2 (b) y (c) 0.17 b Let l = -7 - -3. Let q = -0.02 - 4.98. Let k = 1.541 + -0.541. Which is the nearest to k? (a) q (b) -0.4 (c) l b Let p = 1429 + -1425. Let o be 2/4 + (-4 - -4). Which is the nearest to -0.2? (a) p (b) o (c) -2/9 c Let h(r) = -r**3 - r**2 + r + 1. Let g be h(-2). Let m be -9 + -5 + (-5 - -17). Which is the nearest to 0.1? (a) -8/5 (b) g (c) m a Suppose 4*a + a - 20 = 0. Suppose -2*s + h = -2, a = -4*s - 5*h - 6. What is the nearest to 0.1 in -0.2, s, -1/4? s Let x = 304 + -304.3. What is the nearest to 0 in 0.1, 3/7, x, -5? 0.1 Let h = -44.39 + -0.61. Let i = h + 49. Which is the nearest to -9? (a) 2/9 (b) 2/13 (c) i b Let z = -0.07 - 48.93. Let m = z - -52. Let p = -3.3 + 3. What is the closest to -0.2 in p, m, 1? p Let q be (-7 - -6 - -2)*(-1)/5. Which is the closest to q? (a) 3 (b) -0.1 (c) 2 (d) 0.3 b Let f = -479/33 + 156/11. Suppose 13 - 29 = -4*o. Let s be ((-5)/o)/((-6)/24). Which is the nearest to 1? (a) f (b) s (c) -5 a Let z = -0.1 + 5.6. Let q = 113 - 108. Let k = q - z. Which is the closest to -3? (a) 0.1 (b) k (c) -1/5 b Let r = 0.2 + 0.01. Let z = -0.29 - r. What is the nearest to -0.1 in z, -2/9, 0.5? -2/9 Let n = -58 - -55. Which is the closest to -0.3? (a) 1/3 (b) -5 (c) n a Let m = -38.77 + 39. Let s = -196 - -198. Which is the nearest to m? (a) s (b) 1/4 (c) 3 b Let q = -82/7 - -80/7. What is the closest to -0.1 in -2/3, 2, -0.5, q? q Let a be (-74*7/168 + 3)*2. What is the nearest to 0.2 in 0.4, 9, a? 0.4 Let u = -0.0148 - 0.1852. What is the closest to u in 2/3, -4, -3/4, 0.05? 0.05 Let t = 0.021 + -34.021. Let q = -30 - t. Which is the nearest to 1? (a) 1.2 (b) q (c) 5 a Let s(k) = -k + 4. Let d be s(8). Let t = -3 + 0. What is the nearest to 0.1 in d, t, -4/5? -4/5 Let x = 0.2612 + 0.0388. Which is the nearest to 0.8? (a) 4 (b) -3 (c) x (d) 1/8 c Let n be 4 + (-115)/30 - (-4)/264. Which is the closest to 0.01? (a) -1/4 (b) -3/2 (c) -3 (d) n d Let k = 0.083 - -61.917. Let f = 63.1 - k. What is the closest to 0.1 in f, -1, 1/3? 1/3 Let n = -17451/11 - -1587. Let y = -2.6 + -0.4. What is the closest to -0.1 in -1/2, y, n? -1/2 Suppose 2*l + m - 6*m - 169 = 0, 4*l = -3*m + 325. Let h = l + -86. Let u = 0 + -1. Which is the nearest to u? (a) 2/5 (b) 5/2 (c) h a Let m = 20 - 33. Let w = -18 - m. Let j = 0.6 - 1.1. What is the nearest to 0 in j, w, 2/17? 2/17 Let d = -5/16 - -57/80. Let u = -0.02 + -0.05. Let r =
{ "pile_set_name": "DM Mathematics" }
l + 7, -8*s + 35 = -5*l for s. 5 Solve 5*u - 9 = 6, -b - 7 = -u for b. -4 Solve 4*n - 214 + 196 = -2*d, -4*d = -2*n + 4 for d. 1 Solve -6*q = -3*q + 5*r + 1, -9 = 3*q - 3*r for q. -2 Solve 10 - 25 = 3*b, b + 14 = -3*g for g. -3 Solve 0 = -4*n - i + 13, 17*i + 1 = 18*i for n. 3 Solve -3*b + 5*x - 27 = 5, 4*x - 36 = 5*b for b. -4 Solve -4*h - x = 11 - 3, -5*h = -x + 10 for h. -2 Solve -t + 3*j + 1 = 0, -7 + 2 = -5*t - 3*j for t. 1 Solve 0 = 5*w - 3*z - 0*z, 4*w + 13 = 5*z for w. 3 Solve 4*j + 3*r - 20 = 0, -29*j + 28*j + 2*r = 6 for j. 2 Solve 4*z - w - 5 = 0, -1 = -2*z + 3*w + 4 for z. 1 Solve -2*r = 4*p - 10, 0 = -5*r - p - p + 9 for r. 1 Solve 7*o - 3*o = 4*w + 12, -4*o = w - 12 for o. 3 Solve -w = 5*o, -10 = 2*w + 3*o - 3 for w. -5 Solve -10*r = -6*p - 6*r + 48, 18 = 3*p - r for p. 4 Solve 2*f = 4*l - f + 4, l = -3*f + 14 for l. 2 Solve -9 = -3*t + k, -3*t + 4*t = 5*k + 17 for t. 2 Solve 2*i = w - 2*w, 0 = 5*i + w for i. 0 Solve -4*h + z = 9, -h = 2*h - 2*z + 8 for h. -2 Solve -2*i + 12 = -4*j, 0 = 5*i + 3*j - j - 6 for i. 2 Solve 4*c - 4*z = 0, -34*c - 10 = -36*c + 4*z for c. -5 Solve 5*c = -5*n - 5, c + 4*n = -5 + 4 for c. -1 Solve 0 = -5*p - 3*x - 0*x - 27, -11 = p + 2*x for p. -3 Solve -2*v - 2*i - 3*i + 8 = 0, -5*i + 5 = 5*v for v. -1 Solve 9 = -9*a + 16*a + 4*z, a - 3*z + 13 = 0 for a. -1 Solve 2*v + 3 = -2*f + 7, 5*f - 30 = 5*v for f. 4 Solve -13 = -4*c + h, 12*c - 7*c = -4*h + 11 for c. 3 Solve 0 = 5*m - 0*m - 5*v, 0 = v + 1 for m. -1 Solve -2*k = -15*n - 81, k = 2*k + n + 2 for k. 3 Solve 2*j - 82*l = -80*l, -2*l = 2*j for j. 0 Solve 3*c - 2*u + 20 = 0, -5*c = -3*u + 1 + 31 for c. -4 Solve -11 = 2*a + 3*k, -a + 5*k - k + 22 = 0 for a. 2 Solve 0 = -m + 2*i + 103 - 102, 5*i = -3*m - 19 for m. -3 Solve -5*h = -6*h + 1, 0 = -3*c + h - 4 for c. -1 Solve -2*r - 2*t + 13 = -5*t, -r + 3*t + 11 = 0 for r. 2 Solve 7 = -4*w - 5*k + 8*k, -w + 3*k + 5 = 0 for w. -4 Solve 8 = 2*o - q, 5*o + 2*q = 5*q + 20 for o. 4 Solve x = -4*q + 1, -3*q - 1 = -x + 2*q for x. 1 Solve -5*w + 14*y = 18*y - 50, 2*w - 4*y = -8 for w. 6 Solve -4*j - 1 - 11 = 4*u, 0 = -3*j + 2*u + 16 for j. 2 Solve 9*q - 3*x = 13*q + 21, -2*x + 3 = -3*q for q. -3 Solve -96*v + 100*v - b = 2, 4*v + 4*b - 12 = 0 for v. 1 Solve 3*d + 5 = -5*f, -3*f - 23 = -11 for d. 5 Solve t + 29*b = 27*b - 3, -3*b - 2 = t for t. -5 Solve -3*h + 3*p = -24, 4*h + 5*p + 4 = -0*h for h. 4 Solve 0 = 3*u + 3*i + 3, 7*u - 2*u = -4*i - 8 for u. -4 Solve 21 = -2*n - 5*r, -n + 28 - 40 = 3*r for n. -3 Solve 2*u - 3*j + 10 = j, 0 = u + 2*j - 7 for u. 1 Solve -2*n = -2, -x = -11*n + 8*n + 5 for x. -2 Solve 5*b + 41 = -2*j + 13, -3*j - 16 = b for j. -4 Solve -d = 5*f - f - 15, 0 = d + 5*f - 18 for d. 3 Solve 0 = -3*v - s - 2, 0 + 10 = 5*v - s for v. 1 Solve -5*r = 3*m - 38, 129 = 4*m - 3*r + 146 for m. 1 Solve t - 33*r + 2 = -32*r, -4*t + 5*r - 6 = 0 for t. -4 Solve -5*u = -3*k + 6*k, 0 = 2*k + 5*u for k. 0 Solve 2*d + 2*g = -8, 2*d + 0*g - 3*g + 13 = 0 for d. -5 Solve 2*m + 17 = -3*q, 7*q - 3*q = 2*m - 18 for m. -1 Solve 15*c - 6 = 17*c, -5*w + 3*c + 24 = 0 for w. 3 Solve m - 5*m + 4 = 0, s + 2*m - 1 = 0 for s. -1 Solve -5*r + n + 45 - 74 = 0, 3*n = r + 17 for r. -5 Solve 2 = -d - o - 2, -5*d + 4*o - 11 = 0 for d. -3 Solve -3*n + 41*t = 44*t - 24, 4*t - 23 = -n for n. 3 Solve 0 = o, 32*i = 37*i - 4*o - 20 for i. 4 Solve -v = 5*s - 2*v - 27, -5*s + 33 = -4*v for s. 5 Solve -4 = 5*b - 6*b, 6 = -q + 2*b for q. 2 Solve -4*m - 27 + 11 = 2*w, 4*w + 20 = -2*m for w. -4 Solve -6*h = -3*h + 2*z - 2, h - 5 = -5*z for h. 0 Solve -4*x + 38 - 12 = -3*d, 3 = -x - 4*d for x. 5 Solve 2*r + 3 = 5*s - 1, 5*r + 10 = 0 for s. 0 Solve 3*y - 2*t = 1, -t = -8*y + 4*y - 2 for y. -1 Solve -4*n - 2*h = 28, 0*h = -2*h - 8 for n. -5 Solve -25 = 4*o - 5*a, o + 16*a - 17*a + 4 = 0 for o. 5 Solve -37 = -6*t + t + 4*x, 0 = -3*t + 5*x + 30 for t. 5 Solve 4*f + f + 10 = -u, 0 = -u for f. -2 Solve -12*g + 14*g - 3*h - 10 = 0, -4*g + 5*h + 18 = 0 for g. 2 Solve 0 = w + 4, -2*u - 3*u - 3*w + 3 = 0 for u. 3 Solve -3*i = 4*j + 25, 0 = -123*j + 118*j + 3*i - 11 for j. -4 Solve 6 = -4*p + 22, -2*a + 8 = 4*p for a. -4 Solve -4*d = 0, 0 = -2*j - d + 5*d + 10 for j. 5 Solve -5*o = -2*r + 26, 0 = r + 2*r - 9 for o. -4 Solve 4*t = -3*w + 15, -19*t - 2*w = -21*t - 10 for t. 0 Solve 15 - 11 = l - w, 0 = 3*l + w - 12 for l. 4 Solve s + 10 = 4*u, 4*s + 2*u - 2 = -3*u for s. -2 Solve 3*h - 2*z = 2, -z - 5 + 1 = -3*h for h. 2 Solve 5*i = 2*o + 13, 0 = -5*o + i + 13 - 11 for o. 1 Solve 0 = 4*h + 4*i - 9*i, -h - 3*i - 17 = 0 for h. -5 Solve -6*o - 5*j + 5 = 0, 5*o - 7*o + 5*j - 5 = 0 for o. 0 Solve a + 3 - 4 = 0, -3*a + 5 = -2*n for n. -1 Solve 0 = -l + 3*w - 3, -5*l - 33*w = -35*w + 15 for l. -3 Solve 13*v - 4*y = 14*v - 8, v = -y - 1 for v. -4 Solve -5*v = 3*n + 7, 0 = 4*v - 3*n - 22 + 6 for v. 1 Solve 5*c = -2*w - 23, -w - 7*c = c + 39 for w. 1 Solve -5*v = -5, -3*b = 5*v - 2*v + 12 for b. -5 Solve 8*s + h + 8 = 10*s, 0 = h for s. 4 Solve 2*m - 16 = -2*f + 5*f, 2*f - 21 = -5*m for m. 5 Solve 4*j = -2*x - 20, 3*x - 2*j = -5*j - 18 for x. -2 Solve 0 = -g - 3*g - 4*v - 12, 4*v = -5*g - 14 for g. -2 Solve 0 = -3*t + 3, 0*t + 7 = 2*j + 5*t for j. 1 Solve 0*i = -4*i - 4*y - 4, i = y - 9 for i. -5 Solve 408*t - 405*t - 14 = -y, y + 6 = 2*t for t. 4 Solve 66*u = 3*g + 71*u + 28, -2*u = -g + 9 for g. -1 Solve 9 = 3*t + 2*h, -12*h + 11*h + 9 = 3*t for t. 3 Solve f = 5*a + 25 - 3, 5*f + 10 = -5*a for a. -4 Solve -3*s - 2 = -s, -s = -4*d + 1 for d. 0 Solve -3*b - 1 = -h + 4, -b - 7 = -3*h for h. 2 Solve -3*l + 25 = -5*w, 5*l + w - 10 = 3*w for l. 0 Solve 5*o - 2*o + 5*x = -14, 2*o + 4*x = -12 for o. 2 Solve 4*x - 4 = 0, 32*x - 4 = 3*h + 37*x for h. -3 Solve 192*x + 4*q - 9 = 195*x, 5*x - q + 15 = 0 for x. -3 Solve -y + 10 = -2*b + 4*b, 5*b - y - 11 = 0 for b. 3 Solve 15*x - 19*x + 14 = 3*p, 0 = 5*p - 3*x + 25 for p. -2 Solve i - 3*p - 2 = -13, 2*i - 4*p = -18 for i. -5 Solve 0 = 5*j - 43*v + 38*v + 35, -10 = 4*j + 2*v for j. -4 Solve -i + 4*v + 6 = -0*v, 0 = 3*v + 6 for i. -2 Solve -h = 2*v + 12, 0 = -3*v + 8*v + h + 24 for v. -4 Solve -10*g + 9 = 3*z - 7*g, 4*g = 5*z - 6 for z. 2 Solve 3*q + 5*o = 1 + 9, -4*q + 5*o + 25 = 0 for q. 5 Solve -2*q + 6*q - 3*p + 5 = 0, 0 = -q + 3*p + 10 for q. -5 Solve -3*y + 17 = -2*u - 1, y - 19 = 5*u for y. 4 Solve -3*s = -4*g + 5, 2*s + g + 3 = 7 for s. 1 Solve 8 = -4*j, r - j = -0*j + 7 for r. 5 Solve z + 2*s - 15 = 0, -2*z + 35 = z + 4*s for z. 5 Solve q = -r - q + 6, -4*r + 14 = 3*q for r. 2 Solve 2*b + 11 = 3*x, 11*x - 10*x + 18 = 5*b for x. 7 Solve -5*n + 9 = -8*n, -n = -5*c + 8 for c. 1 Solve 0 = a - 4*m - 2, 503*a - 508*a = 4*m - 10 for a. 2 Solve -y + 4*y - 28 = 5*o, 3*y = 2*o + 13 for o. -5 Solve 4*d = 5*v + 31, -5*d + 4*d - 3*v - 5 = 0 for d. 4 Solve 0 = -p - 23*q + 24*q + 5, 4*p = -q for p. 1 Solve 5*k = -5*f + 10, 0 = 4*k - 3*f - 4 - 25 for k. 5 Solve 0 = 8*h - 7*h + 5*b - 14, 5*h = -4*b + 28 for h. 4 Solve -8*i - 3*s - 10 = -12*i, 3*s = 3*i - 6 for i. 4 Solve 3*w = -3*k, 3 + 0 = 3*k for w. -1 Solve -3*b - 4 + 1 = 0, -c = -2*b + 1 for c. -3 Solve 4*u + 14 = -5*x, -5*u = -u + x + 6 for u. -1 Solve 2*p = -0*c + 3*c - 14, 2*c - 13 = 5*p for c. 4 Solve -4*w + 95*u - 100*u = -5, 4*w + 9*u = 25 for w. -5 Solve -p = 29*s - 26*s + 15, 5*s = p - 17 for s. -4 Solve -3*d = -4*a + 19, -4*a = -3*d + d - 14 for d. -5 Solve 20 = -5*w - 3*j, 4*w - 6*j = -j + 21 for w. -1 Solve 0 = 5*v + 4*d + 36, 4*d - 28 = 4*v + 7*d for v. -4 Solve 0 = 5*o - 3*x - 29, -o + 5*x + 7 = 4*x for o. 4 Solve -y = 17*m - 22*m + 22, 0 = 4*y - 12 for m. 5 Solve 0 - 2 = -4*p - 2*n, -5*n + 5 = 5*p for p. 0 Solve 0 = -w - p + 8, -3*w + 4 = -4*p + 3*p for w. 3 Solve 56*z - 54*z = -10, z = 4*f + 23 for f. -7 Solve -g - 5*r - 18 = -0*g, -2*r = -g + 10 for g. 2 Solve -37 = 2*z + 5*y - 4, -3*z = -y + 7 for z. -4 Solve -4*q + 210*d - 211*d = -7, d = -5*q + 8 for q. 1 Solve 101*y + 2 = 103*y - 2*j, -y + 4*j + 4 = 0 for y. 0 Solve 0 = -3*s - 2*o - 13, 57*o - 58*o = -3*s - 25 for s. -7 Solve 3*b + 33*w = 36*w, -4*w - 2 = 6 for b. -2 Solve a - 1 = -g, 34*g = 5*a + 35*g + 19 for a. -5 Solve -5*d + 35 = -5*k + 10, d + k = -1 for d. 2 Solve 5*q = -3*m + 7, -79*m + 4*q - 13 = -74*m for m. -1 Solve 2*y = -v - 8, 5*y + 7 = 13*v - 9*v for v. -2 Solve -7 = -q - 9*p + 4*p, 16 = -2*q + 5*p
{ "pile_set_name": "DM Mathematics" }
Let a(t) = 9*t + 1. Let u(w) = -34*a(w) + 6*n(w). Is 17 a factor of u(6)? True Let n be (-19)/2 - 1/2. Let t(w) = 14*w + 32. Let b be t(-12). Is 20 a factor of (b/n)/(10/25)? False Let d be 2/(-7) - 32/(-14). Let p = 12 - d. Let k = 4 + p. Does 4 divide k? False Let y = -4 - -7. Let d be 70*(-4 + 76/14). Suppose -y*p - 2*l + d = 0, 4*p + 3*l - 135 = 2*l. Is p a multiple of 7? False Let h be 0/(-3 + 2)*-1. Suppose -5*m + h*r = -4*r - 65, 0 = -2*r - 10. Is m a multiple of 3? True Suppose 0 = -s - 3*d + 7, 0 = -3*s - d - d + 7. Let w(y) be the first derivative of 17*y**3/3 + y**2 - y + 1. Does 18 divide w(s)? True Let b = 67 + 22. Let r = b - 31. Does 10 divide r? False Suppose -16*l + 1911 = 5*l. Does 7 divide l? True Suppose 0 = 4*s + 45 - 17. Let a = 0 - s. Does 5 divide a? False Is 6 a factor of (8 + (-408)/36)*(-531)/5? True Let h be 141 - (-5)/((-20)/16). Suppose 4*n = 2*n - 178. Let l = h + n. Is 24 a factor of l? True Let t(d) be the second derivative of 55*d**4/12 + d**3/3 - d**2/2 - 4*d. Is t(1) a multiple of 14? True Suppose 20*q - 4143 = 12677. Is 29 a factor of q? True Suppose -4*k + 5*w - 93 = 0, -w + 8 = -4*k - 81. Let x = k + 55. Does 11 divide x? True Let x be ((-68)/(-3))/4 - (-6)/(-9). Suppose 0 = 2*i - x*t - 682, -2*t + 578 = 2*i - 90. Is 24 a factor of i? True Suppose -110*p + 47*p + 329868 = 0. Does 119 divide p? True Let f be 1 - 0 - (17 - 16) - -3. Suppose f*t - 152 - 50 = -2*w, -101 = -w + 4*t. Does 15 divide w? False Let w = -1123 + 1599. Does 7 divide w? True Let j(z) = z**2 - 7*z + 6. Let o be j(11). Let h = 67 - o. Does 6 divide h? False Does 70 divide (587/(-2))/((-23)/138)? False Let u(r) = 3*r + 4 - 3*r - 7*r. Let d = -15 - -9. Does 21 divide u(d)? False Does 4 divide ((-10)/(-8))/((-30)/(-480))? True Let j = 11 - -1. Suppose o = 4*o + 2*c + 14, -2*c = 2*o + j. Does 12 divide 28 - -10 - (4 + o)? True Let b = 41 - 77. Let a = 66 + b. Is 7 a factor of a? False Suppose -m + 2*m + 43 = -3*z, -4*m - 140 = 4*z. Let h = -3 - m. Does 11 divide h? False Let m(t) = -2*t**3 + 4*t**2 + 97*t + 7. Does 21 divide m(-7)? True Is -7 - 3 - (-330 - 10) a multiple of 30? True Let c(u) be the third derivative of u**4/24 + 5*u**3/6 - 5*u**2. Let v be c(0). Is 27 a factor of v*(-1 - 78/(-10))? False Suppose 3 = -2*d + 5*b, 9 = -2*d - 0*b - b. Let s(w) = -11*w + 1. Let x be s(d). Let u = x + -26. Does 19 divide u? True Let t(h) = h**3 + 9*h**2 + 5. Let y be t(-4). Let d = 165 - y. Does 16 divide d? True Let j = 15 + -11. Suppose 4*c = a - 52, 0 = -j*c - 5*a - 18 - 10. Is 10 a factor of 4*(-1 - 45/c)? False Let u = -682 - -718. Is u a multiple of 9? True Suppose 0 = 4*k - o - 15, -3*o = -5*k + 18 + 6. Does 2 divide k? False Let l = -129 - -261. Does 3 divide l? True Let x be 2*1/(-2)*(0 + -2). Suppose m + 4*p = x + 22, 3*m + 3*p = 54. Is m a multiple of 16? True Let v(r) = -r**3 - 8*r**2 - 2*r - 10. Let w be v(-8). Suppose -5*t = 1 - w. Is (-16)/(-2)*t/2 a multiple of 4? True Does 30 divide (-12)/42 + (-73092)/(-42)? True Let h = -12 - -8. Is 6 a factor of 28/(-3 - h) + -4? True Is 47 a factor of -16*(4 + -98) + (-8 - -8)? True Suppose -212 = -5*i + 9*i. Let c = -21 - i. Is 14 a factor of c? False Is 482384/657 + 2/(-27)*3 a multiple of 43? False Suppose -23*w + 22*w = -268. Does 4 divide w? True Let r = -240 + 492. Is r a multiple of 63? True Let f(s) = 31*s**2 - 3*s + 3. Let w be f(2). Let g = w - 78. Let a = -16 + g. Is 16 a factor of a? False Does 52 divide (-688)/(-6)*429/44? False Let m = 49 - 33. Suppose z + m = 2*z + 3*b, 4*b = -2*z + 32. Suppose 3*d - 79 = -z. Does 11 divide d? False Let b(d) = 10*d - 112. Is b(22) a multiple of 8? False Let v = 941 - 507. Is 14 a factor of v? True Let x = 19 - 16. Suppose -x*p + 109 = -902. Let q = -238 + p. Is q a multiple of 20? False Let p be 85 - (2/(-3) - (-66)/18). Suppose -3*m + 2*m - 3*q = -23, p = 2*m - 3*q. Is m a multiple of 20? False Suppose -13*i = -11*i - 10. Suppose i*s - 780 = -220. Is 14 a factor of s? True Let l be (7 - (-105)/(-14))/(1/(-2)). Let f = -169 - -85. Is 3 a factor of f/(-9) + l/(-3)? True Let j be -2 + (-164)/(-4) + 1. Suppose 5*z + 32 = 4*c + 4*z, -5*c - 5*z + j = 0. Is 8 a factor of c? True Suppose -2*f = 5*j - 13710, -2*j - 3*f + 3013 = -2471. Is 15 a factor of j? False Let w(x) = 30*x + 1. Let n be w(2). Suppose 277 + 203 = -12*s. Let v = s + n. Does 16 divide v? False Let a = -135 - -93. Let d = 71 + a. Suppose -2*o + 4*i = -106, 3*i + d = o - 23. Is o a multiple of 15? False Let c = -51 - -56. Suppose 2*h = 0, -4*t + c*h + 7 = -25. Does 4 divide t? True Let o = 305 - 270. Is 35 a factor of o? True Suppose -2*x = w - 7, -2*w + x + 19 = 20. Let n(q) = -5*q**2 + 25*q**2 + 3*q**2. Does 7 divide n(w)? False Let u(a) = -8*a + 3*a + 6*a + 8*a + 18. Is 27 a factor of u(7)? True Let t(h) = 8*h**2 - 10*h + 1. Let k(r) = -23*r**2 + 29*r - 3. Let x(y) = -4*k(y) - 11*t(y). Suppose 3*b + 2*b = 20. Is 14 a factor of x(b)? False Let p(m) = -3 - 13*m - 16*m - 1 + 54. Is 28 a factor of p(-6)? True Suppose -46 = -4*s + 50. Suppose 0*d = 2*d - 8, 4*d - s = 4*z. Is (-3)/((4/10)/z) a multiple of 5? True Suppose -4*f + 0*s + 5*s + 782 = 0, -4*s = -8. Is 11 a factor of f? True Suppose 31*j - 23409 = 14*j. Does 6 divide j? False Suppose -13*q = 1524 - 9584. Does 62 divide q? True Let d(b) = -11*b - 2. Let t be d(-4). Suppose t = -0*u + 7*u. Is 2 a factor of u? True Suppose -2*q = 2*q + 3*m - 12, -2*q - 4*m + 6 = 0. Suppose -8*j = -q*j - 240. Is j a multiple of 18? False Suppose 2*h + 2*h - 4 = -4*t, -5*t - 2*h = 10. Let n(q) = -4 + 5*q**2 + 5 + q**3 + 5*q - 3*q. Does 3 divide n(t)? True Let l = 40 - 36. Is -3 + (65 - 0) + l a multiple of 11? True Let i = 9 - 6. Let v(u) = 3*u + 57. Let p be v(7). Suppose 3*z - 36 = -3*j + p, i*j = -15. Does 8 divide z? False Let p be (88/12)/((-2)/(-87)) - 0. Suppose p = 7*i - 17. Is i a multiple of 8? True Is (-1)/((-2)/(-4)*(-4)/106) even? False Let l(x) = 19 - x**3 - 17*x + 14*x**2 + x + 8*x**2 - 8*x**2. Is l(9) a multiple of 47? False Let z = -260 + 139. Let h = 175 + z. Does 8 divide h? False Let s(w) = w**2 + 5*w - 17. Let a be s(-7). Let q(z) = -6*z - 5. Let y be q(a). Suppose -l + y = -20. Does 10 divide l? False Let v = -7 + 13. Suppose v = 3*i - 0. Suppose -3*b + 2*m + 68 = 0, -3*b = i*m - m - 56. Is 9 a factor of b? False Let c be (-34)/((0 - (-1)/2)*-4). Let g = 38 - c. Is g a multiple of 8? False Suppose 5*i = -2*k - 60 - 162, -3*i - 4*k = 136. Let d = 20 - i. Is d a multiple of 16? True Let g(h) = h**2 - 6*h + 13. Does 25 divide g(-8)? True Let j = -18 - 7. Is 2 a factor of (-135)/j + (-4)/10? False Let p = 7 + -24. Let m = p - -125. Is 18 a factor of m? True Suppose 0 = 3*b - b + 4*l - 990, -5*l = 2*b - 990. Is 45 a factor of b? True Let d(k) be the first derivative of 1/4*k**4 + 3*k - 3 - k**2 - 1/3*k**3. Is d(3) a multiple of 7? False Let s(u) = -5*u**2 + 6*u - 5. Suppose 0 = -p + 3*v + 4, v - 6 + 4 = p. Let m be s(p). Does 17 divide 1/3 + m/(-6)? False Let i(p) = -28*p - 5. Let x = 7 - 11. Is i(x) a multiple of 29? False Suppose -4 = 5*a + 66. Let m(w) = 3*w + 51. Is 2 a factor of m(a)? False Suppose 5*b - 3*r = 30, 5 = b - 6*b - 4*r. Let s(q) = -5 - b + 0 + 2 - 11*q. Does 9 divide s(-3)? True Let y(g) = -4*g**2 - 4*g - 4. Let x be y(9). Let b = -248 - x. Is 29 a factor of b? True Let b(f) = 5*f**2 - 8*f + 3. Let k be b(5). Suppose 20 - k = -2*g. Suppose 4*z = g - 2. Does 5 divide z? False Suppose -5*w + 2940 = 2*y, -9*y - 580 = -w - 11*y. Is 20 a factor of w? False Suppose -x = 5*b + 4*x + 35, 8 = -b - 2*x. Is (-508)/(-20) + b/15 a multiple of 5? True Let i be (-50)/4*28/(-5). Let l = -39 + i. Is l a multiple of 24? False Let x(s) = 2*s**2 - 3*s**2 - 12 - 8*s - 7*s. Let j(c) = -3*c**2 + 4*c + 3. Let i be j(3). Does 8 divide x(i)? True Let n(q) = 6*q**2 - 15*q + 7. Let j(o) = 7*o**2 - 17*o + 6. Let p(z) = -3*j(z) + 4*n(z). Let r be (2 - 1)/(2/10). Is 10 a factor of p(r)? True Let r(z) be the first derivative of -z**7/840 - z**6/90 - z**4/2 + z**3 + 13. Let c(k) be the third derivative of r(k). Is 20 a factor of c(-6)? True Let g = -88 + 80. Let n = g + 103. Does 41 divide n? False Let x(s) = s**3 - 5*s**2 + 8*s + 8. Is 24 a factor of x(4)? True Is 13 a factor of (2 - -569)*(30 + -27)? False Let r = 31 + -31. Let o be (-4)/(-2) -
{ "pile_set_name": "DM Mathematics" }
)**2 + sqrt(3) + (-4*sqrt(3)*2)**2). -1912 - sqrt(3) Simplify (sqrt(24) + (sqrt(96) - (sqrt(96) - 1*sqrt(96))))/(sqrt(12) + sqrt(36)/sqrt(3)*-2). -3*sqrt(2) Simplify ((-4 + sqrt(76)/sqrt(4))**2 - (1 + (sqrt(19) - sqrt(38)/sqrt(2)))**2) + (sqrt(19) - ((sqrt(76)/sqrt(4))**2 - sqrt(19))) + 2 + sqrt(304)*-6. -30*sqrt(19) + 17 Simplify (-6*((-2 + sqrt(192))*3*1 + -4))**2. -17280*sqrt(3) + 65808 Simplify (-3*(4 + sqrt(98) - sqrt(98))*-2 + -5)*4. 76 Simplify (-6*(sqrt(1377) + (sqrt(1377)*-2 + sqrt(1377))*1) + 5 + 2 + -5)**2. 4 Simplify -3*(((2 + sqrt(72))*3 + (sqrt(72) - (sqrt(72) + 2 + -1)))*3)**2. -18171 - 4860*sqrt(2) Simplify (-6*((sqrt(190) - (sqrt(190) - (sqrt(190) - -1*-2*sqrt(190))))/sqrt(10) + 1*sqrt(931) + -5))**2. -2160*sqrt(19) + 25524 Simplify 5 + (2 + (sqrt(150)*1)/(sqrt(33)/((sqrt(11) - (sqrt(11) + sqrt(55)/sqrt(5))) + sqrt(11) + sqrt(11))))**2. 20*sqrt(2) + 59 Simplify -2*((0 + sqrt(3))*6 - (sqrt(18)/(sqrt(18)/sqrt(3)) - sqrt(3)) - (sqrt(768) + 2)**2). 116*sqrt(3) + 1544 Simplify (0 + -2*sqrt(68)*1 + (sqrt(68) - (-2 + 0 + sqrt(68))**2) + sqrt(68))*1. -72 + 8*sqrt(17) Simplify (1*sqrt(2)*-3*3)**2 + (-3*sqrt(18))**2 + -3. 321 Simplify (1 + -2*sqrt(847)*2 + 5 + 3)**2. -792*sqrt(7) + 13633 Simplify (-1*(sqrt(65) + -2*sqrt(65))*-2)/((sqrt(500) - (sqrt(500) - -2*sqrt(500))) + sqrt(15)/sqrt(3)*1). 2*sqrt(13)/19 Simplify -1*(sqrt(475) - sqrt(475)*2)**2 - (5 + (sqrt(76) - (2 + sqrt(76))))**2. -484 Simplify (sqrt(272)*1*3 + -1*sqrt(272)*5)*1. -8*sqrt(17) Simplify (sqrt(539) + 5 + -1 - sqrt(539) - (sqrt(539) - (sqrt(539) + -4 + (sqrt(539) - (4 + sqrt(539))) + sqrt(539) - sqrt(539))))**2. 16 Simplify (sqrt(891)*6 + -4 - (-5 + sqrt(891))*-5)*2. -58 + 198*sqrt(11) Simplify -1*((sqrt(120)/sqrt(8))/sqrt(5) + (sqrt(3) - (sqrt(3) - sqrt(18)/sqrt(24)))). -3*sqrt(3)/2 Simplify -2 + -2*5*(5*(sqrt(72) - (sqrt(72) + 0 - sqrt(72))) - (sqrt(72) + 0)*-3)**2. -46082 Simplify 3*(-1*(sqrt(847)*4 - sqrt(847)))**2 + -3. 22866 Simplify (-1*sqrt(165)/sqrt(3) - (sqrt(385)*-2)/sqrt(7))/(sqrt(110)/(sqrt(20)/sqrt(2))*4). sqrt(5)/4 Simplify ((sqrt(250)*-3)/sqrt(10))/(sqrt(5) + sqrt(320)*5 - sqrt(5)). -3*sqrt(5)/40 Simplify (sqrt(77)/(sqrt(11)*-2) + sqrt(7) + sqrt(448) + -2*sqrt(448) - (sqrt(448)*-2 - (sqrt(7) - sqrt(1008)/sqrt(9))))**2. 847/4 Simplify (1*(sqrt(136) - (3*(sqrt(136)*-2 - sqrt(136)) + sqrt(136) - sqrt(136) - sqrt(136))))/(4*-1*sqrt(16)/sqrt(2)). -11*sqrt(17)/4 Simplify (sqrt(120) + (sqrt(120)*3 + sqrt(120))*3)/(sqrt(6) - -3*sqrt(36)/sqrt(6)). 13*sqrt(5)/2 Simplify sqrt(85)/(sqrt(15)/sqrt(3) + sqrt(5) - sqrt(5))*-5 + (1*sqrt(136)/sqrt(8)*3)**2. -5*sqrt(17) + 153 Simplify 0 + sqrt(99) + 1 - (sqrt(11)*-2*-2 + 5)**2. -200 - 37*sqrt(11) Simplify ((sqrt(272) + 1*sqrt(272))**2 - -2*sqrt(17)*6) + 3 + (sqrt(17) - (sqrt(1700) + (sqrt(1700) - (2 + sqrt(1700))))**2). -613 + 53*sqrt(17) Simplify -4*((sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76) + -1*sqrt(76)*-6))/(sqrt(20)/sqrt(5)*3) + -3)**2. -5188/9 - 64*sqrt(19) Simplify ((-5*(sqrt(90) + 3*sqrt(90) + sqrt(90)) - sqrt(90))/sqrt(5))/((sqrt(96)/sqrt(4))/sqrt(4)*-4). 13*sqrt(3)/2 Simplify (sqrt(44)/sqrt(176))/(sqrt(18)/sqrt(36)). sqrt(2)/2 Simplify (sqrt(15) + 1*(sqrt(15) + sqrt(150)/sqrt(10) + sqrt(15)))/(sqrt(80)/sqrt(4) + sqrt(20)). sqrt(3) Simplify (-5*(4 + 2*sqrt(175) - (-1 + sqrt(175) + 1)))**2 + -2. 1000*sqrt(7) + 4773 Simplify -5*((sqrt(13) + 0)*1 + 4) - ((-2 + 2*(0 + sqrt(13)))*-5)**2. -1420 + 195*sqrt(13) Simplify (-2 + 5 + sqrt(272) + -1 - (3*(sqrt(272) + -1) + -4))**2. -144*sqrt(17) + 1169 Simplify ((sqrt(156) - sqrt(156)*2)*-6 + sqrt(156)*2*3)/(-5*sqrt(96)/(sqrt(8)*-2)). 24*sqrt(13)/5 Simplify 2*((1*sqrt(15)/(sqrt(5)*1))**2 + (sqrt(3) + sqrt(9)/sqrt(3) + 0 - 1*(1*sqrt(3))**2))*2. 8*sqrt(3) Simplify (sqrt(190)/(sqrt(50)/sqrt(10)) - sqrt(38))/(sqrt(1568) + sqrt(2)). 0 Simplify 1*(3*sqrt(500)*-1)**2*-5. -22500 Simplify (0 + (sqrt(68) - ((2*sqrt(68) - sqrt(68))**2 + 4)) + (-1*sqrt(68)*1 + -1)**2)*1. -3 + 6*sqrt(17) Simplify 3*(0 + sqrt(99))**2 - ((sqrt(66) - sqrt(66)*1*4) + sqrt(66))/sqrt(6). 2*sqrt(11) + 297 Simplify (1*sqrt(225)*5)/(sqrt(30)/(1*sqrt(384) - sqrt(384) - sqrt(384))). -120*sqrt(5) Simplify -6*(sqrt(325) + 1) - ((sqrt(65)/sqrt(5) + 2)*-6)**2. -174*sqrt(13) - 618 Simplify ((sqrt(1500) - sqrt(1500)*-3*2) + sqrt(1500) - sqrt(1500))/(sqrt(50)/(sqrt(10) - (sqrt(10) + (sqrt(30) - sqrt(30)*-3)/sqrt(3) + sqrt(10)))). -350*sqrt(3) Simplify (4 + 3 + (sqrt(252) - (sqrt(252) + 0)))**2 + (sqrt(252) - (sqrt(21)/sqrt(3) + -2)). 5*sqrt(7) + 51 Simplify ((sqrt(170) + (-2*sqrt(170) - sqrt(170)))*-2 + sqrt(170) + sqrt(170)*2*5)/((sqrt(270)*1)/sqrt(3))*1. 5*sqrt(17) Simplify (-2 + (-2*((sqrt(45) - ((sqrt(90) - sqrt(90)*3) + sqrt(90))/sqrt(2)) + sqrt(45)))**2*5)*-3. -24294 Simplify (-4 + -1*sqrt(2299) + sqrt(2299) - sqrt(2299))**2 + (-2*sqrt(304) + sqrt(304) + -1)**2. 96*sqrt(19) + 2620 Simplify 5*((sqrt(9)/(1*sqrt(3)) - sqrt(3))*-4)**2 + (sqrt(189)*1)/sqrt(7)*-1. -3*sqrt(3) Simplify (3*-2*(sqrt(2) + 1 + 0 + 1 + 1)*-4)**2. 3456*sqrt(2) + 6336 Simplify -3*6*(sqrt(1300) + 1)**2*-1. 360*sqrt(13) + 23418 Simplify sqrt(18)/(3*sqrt(9))*2 - (-3 + 0 + sqrt(2) - (0 + sqrt(242))**2). -sqrt(2)/3 + 245 Simplify -5*(0 + (-1 + sqrt(76))*3 + (sqrt(76) - (sqrt(76) + 1 + -1 + sqrt(76))))**2. -1565 + 120*sqrt(19) Simplify (-5*2*sqrt(21) - sqrt(21)*2*1)/(sqrt(7)*-2*-4 + sqrt(7) + sqrt(84)/(sqrt(60)/sqrt(5))). -6*sqrt(3)/5 Simplify -3 + -4 + (-4*-1*sqrt(84) + sqrt(84))/(sqrt(48)/sqrt(64)) + -3. -10 + 20*sqrt(7) Simplify 1*((sqrt(2057)*2 - (sqrt(17)*-2 + 2))**2 - ((sqrt(68) - sqrt(68)*-2) + 3)). -102*sqrt(17) + 9793 Simplify -2*sqrt(45)*1 - (sqrt(140)/sqrt(7)*4)**2. -320 - 6*sqrt(5) Simplify (-1*(-4 + 3 + sqrt(176)*3 + (-2*sqrt(121))/sqrt(11)))**2. -20*sqrt(11) + 1101 Simplify (-1*(-3*(sqrt(891) - sqrt(891)*-1))**2*-3 + 0)*2. 192456 Simplify 3*sqrt(363)*1*5 + -3 + (3*(sqrt(363) - (sqrt(363) - (-2*sqrt(363) - sqrt(363)))))**2. 165*sqrt(3) + 29400 Simplify 1*sqrt(153)*-1 + sqrt(153) + 5 + sqrt(153)*2 + 1. 6 + 6*sqrt(17) Simplify (sqrt(77)*-5)/sqrt(7) + 2 - ((sqrt(66)/sqrt(3))/sqrt(2) - (sqrt(275) - (sqrt(275) - (sqrt(275) + sqrt(275)*-1)))). -6*sqrt(11) + 2 Simplify sqrt(10)/(sqrt(20)/sqrt(4)*5) - (2*sqrt(288) + -3)**2. -1161 + 721*sqrt(2)/5 Simplify (sqrt(45)/(sqrt(3)*-1))/(sqrt(3) - 3*(sqrt(3)*2 - sqrt(3))). sqrt(5)/2 Simplify (sqrt(1584)*-2 + 2 + 5 + 4 + 2 + sqrt(1584) + 0)*-4. -52 + 48*sqrt(11) Simplify 5*(-3*sqrt(1300))**2*3. 175500 Simplify ((sqrt(84)*3)/sqrt(3)*-5)/(-4*(2*sqrt(12)/sqrt(3) + sqrt(4) + sqrt(4))). 15*sqrt(7)/16 Simplify 2*((sqrt(6)/sqrt(18))**2 + sqrt(3)) + sqrt(6)/(sqrt(6)/sqrt(3)) + ((sqrt(6) - sqrt(18)/sqrt(3))/sqrt(2))**2 + 5. 3*sqrt(3) + 17/3 Simplify (sqrt(10) - (3*sqrt(90))/sqrt(9) - sqrt(10))/(sqrt(2) - (sqrt(2) + sqrt(8)/(sqrt(4)*-1) - sqrt(2)))*-1. 3*sqrt(5)/2 Simplify ((3*sqrt(260) - sqrt(260) - sqrt(260))/sqrt(10))/(sqrt(50) - sqrt(2450) - sqrt(50)). -sqrt(13)/35 Simplify (-4*(sqrt(245) - (sqrt(245) - (1 + 3*sqrt(245)) - sqrt(245)) - (sqrt(245) + sqrt(245) + (sqrt(245)*2 - sqrt(245)) + -5)))**2. 1344*sqrt(5) + 4496 Simplify (2*-4*((0 + sqrt(500))*-5 + -5) + -3)**2. 29600*sqrt(5) + 801369 Simplify (-6*(-2*sqrt(315) - sqrt(35))/(sqrt(5) + -5*3*sqrt(5) + sqrt(5)))**2*1. 12348/169 Simplify ((sqrt(66) + sqrt(66) + 5*sqrt(66)*1 - (sqrt(66) + sqrt(66)*-2)*-6)/((sqrt(6) - 2*sqrt(150))*-1))**2. 11/81 Simplify (sqrt(88) + 4*-2*sqrt(88))/(sqrt(8)*4*6). -7*sqrt(11)/24 Simplify sqrt(88)/(sqrt(288)*-4 + sqrt(8))*-3*-1*-3. 9*sqrt(11)/23 Simplify ((-6*(-6*1*sqrt(153) - (1 + sqrt(153)*2 + sqrt(153))) + 2)*1)**2. 2592*sqrt(17) + 446212 Simplify -1*(4 + sqrt(3))**2*5 + sqrt(27)*-6 + -1*(sqrt(3) - sqrt(27)). -56*sqrt(3) - 95 Simplify ((sqrt(152) - (sqrt(152) - sqrt(152)*-1))*5 - ((sqrt(152) - (-5*-2*sqrt(152) + sqrt(152))) + sqrt(152)))/((sqrt(96)*3)/sqrt(12)*1). 4*sqrt(19)/3 Simplify -5 + 0 + ((6*sqrt(272)*2)**2 - sqrt(272))*-5. -195845 + 20*sqrt(17) Simplify (sqrt(7)*1)**2*2 + 2*sqrt(63) + (0 + sqrt(63))*-1. 3*sqrt(7) + 14 Simplify 2*(sqrt(1900)*2*-4*1 + (4*(-2*sqrt(1900) + 1 + sqrt(1900)))**2). -800*sqrt(19) + 60832 Simplify 2 + ((sqrt(190) - (sqrt(190) - (sqrt(190) - sqrt(190)*-1)))*4 - sqrt(190) - sqrt(190))/((sqrt(120)/sqrt(2))/sqrt(6)). 2 + 6*sqrt(19) Simplify 4*(-5*(sqrt(187)/(6*2*sqrt(11)) - (-5 + 2*((sqrt(153) - sqrt
{ "pile_set_name": "DM Mathematics" }
est value in l, 0.5, m? m Suppose -2*t + 3*t = -19. Let k = 361/2 - 200. Let f = t - k. Which is the second smallest value? (a) 0 (b) -5 (c) f a Let v = -13 - -16.5. Let k = -2.4 + v. Let p = k - 0.6. What is the second smallest value in p, 4/9, -2/5? 4/9 Let r = 242/559 - 12/43. Let w = -15 + 18. Let l be (-3)/(-10) + w/(-6). What is the biggest value in 2, r, l? 2 Let t = 55.8 + -65. Let w = 9 + t. Suppose -2*b + 15 = b. What is the biggest value in b, w, 1/3? b Let x = 0.2 - -12.8. Let o = 13.2 - x. Suppose l - 2 + 0 = 0. What is the second smallest value in 2/9, o, l? 2/9 Let g = 6171 - 6171.3. Let c = -2.9 - 0.1. What is the smallest value in 3/5, -5, g, c? -5 Let b be (-5)/35 + -3 - 3/(-1). Let d = 0.1 - 0.3. What is the third smallest value in b, d, -6? b Let x = -144.03 - -144. Let q = -117 + 817/7. What is the biggest value in -5/4, x, q, -2? x Let x = 5.15 + -0.15. Let j = x - 4.7. Let i = j - -0.2. What is the biggest value in 11, i, 0? 11 Let i = 4238 + -4238.3. Suppose 0*u - 3*u + 15 = 0. Which is the second biggest value? (a) u (b) i (c) -3 b Let l = -0.1 + 0.3. Let j = 0.1 + l. Let z be (5 + -5 - 1)*(-11)/55. What is the second smallest value in -4, z, j? z Let p = 17 + -10. Let s(q) = q - 5. Let d be s(p). Let g be 0/((0 + 2)/d). Which is the smallest value? (a) 3/2 (b) g (c) -5 c Let d = 250 - 329. What is the biggest value in 0.1, d, 0.3? 0.3 Let j = 14 + -16. Let l = 8.89 - -0.11. Let n = l + -4. Which is the second smallest value? (a) n (b) j (c) 0.1 c Suppose 0 = 4*y - 7 - 1. Suppose 9 = -y*h - h. Let p be h/1 - 76/(-24). What is the second biggest value in p, -0.3, 0? 0 Let o = 19.925 - -0.075. Let w = -20.3 + o. Which is the second biggest value? (a) 0.4 (b) -1.7 (c) w c Suppose -3*g = -4*n - 22 + 45, -4*g - 4 = 0. What is the smallest value in -16, n, 0.02? -16 Suppose -5 + 25 = -5*b. Let p = -387 - -9677/25. What is the second biggest value in b, p, -1? -1 Let j(n) = 3*n - 9. Let o be j(6). Let p be (5 - (0 - (-1 - 5)))*-2. Suppose 3*y = o, -p*l - 5*y + 3 + 4 = 0. What is the second biggest value in l, 4, 3/7? 3/7 Let i = 11.6 + -11. Which is the biggest value? (a) i (b) 5 (c) 1 b Let l(f) = f**3 - 7*f**2 - 2*f + 65. Let a be l(5). Let z = 3 + 13. Let n = 3.5 - 4. What is the second smallest value in n, z, a? a Let c = -7 + 30. Let g = c + -42. What is the second smallest value in g, -0.5, 0.3? -0.5 Let v = -1702.8 - -1703. Let s = 7 + -10. Let j = s + 4. Which is the biggest value? (a) j (b) 1/12 (c) v a Suppose -194 = -4*w + 5*k + 60, -3*k - 126 = -2*w. Suppose w = 5*i + 26. Let y be 2*(-4)/i*-4. What is the third biggest value in -2/9, -0.4, y? -0.4 Let d = -225 + 224.8. What is the smallest value in d, -40, -0.1? -40 Let p be 3/8 - (-232)/64. Suppose -p*f = a + 20, -8 = -a - f + 4*f. What is the second biggest value in a, -2/5, 16? -2/5 Let h = -5 - -5. Let t = 0.21 - 2.21. Which is the smallest value? (a) 0.4 (b) 1/2 (c) h (d) t d Let z = -3/46 + -71/322. Let q = 1.61 + -1.5. What is the biggest value in q, z, 0? q Let v be 18/(-24)*1/(-3). What is the second biggest value in 0.1, v, 0.251? v Let p = -0.27 - -0.57. Let b = -7 - -3. What is the smallest value in p, b, -0.5? b Let p = -115 - -231/2. Which is the third smallest value? (a) 116 (b) 1 (c) 0 (d) p b Let o = -454.1 + 454. What is the second smallest value in 1.2, 2, o? 1.2 Let u = -9 - -13. Let k = 16 - 16. Let o be (6/21*2)/(-2). Which is the smallest value? (a) k (b) u (c) o c Let k = -1354.1 + 1355. What is the fourth smallest value in -0.4, -1, k, -4/9? k Let d = 4/7 + -17/42. What is the fourth biggest value in 3, -6, 4, d? -6 Let j = 71 + -71.06. Let k = 1.43 - 0.13. Let r = -1.5 + k. What is the third smallest value in -5, j, r? j Let c(d) = -d - 2. Let i be c(-3). Let u = -7421 + 7420.78. What is the second biggest value in i, -0.1, u? -0.1 Suppose -3*h = 2*q - 18, -4*q + 0*h - h + 16 = 0. Let a = -5 - -4.7. What is the third smallest value in a, -11, q? q Let t = -5 - -3. Let g = -1.6 - -2. Let c = -174/413 + 8/59. What is the biggest value in t, g, c? g Let z be (-2)/6 - 3/(-36). Let d = 4.87 + 0.13. Let l = -0.0271 + 0.4271. Which is the second smallest value? (a) l (b) d (c) z a Let t(s) = 7*s - 15. Let o be t(5). Which is the biggest value? (a) 3 (b) o (c) 0.4 b Let m = -27 - -26. Let h be -5*(69/(-75) - m). Which is the smallest value? (a) h (b) 0.2 (c) -1 c Let p be -2*(-2)/(-35)*-10. Which is the smallest value? (a) -3/8 (b) 0.3 (c) -3 (d) p c Let q = 78 - 14. Let b = 706/11 - q. What is the third biggest value in 1/3, -4, b, -3? -3 Let j(g) = 8*g**2 + 42*g + 5. Let h be j(-5). Let p = -0.03 + -0.27. Let t = p - -0.3. Which is the third smallest value? (a) t (b) 2/11 (c) h b Let u = -4.86 + -34.74. Let v = -40 - u. Which is the smallest value? (a) 2 (b) -3 (c) v (d) -7 d Let v = 0.106 - 0.006. Which is the third smallest value? (a) 0.2 (b) -0.3 (c) -18 (d) v d Let x = 400.7 - 401. Let k = 0.02 - -0.04. Let o = k - -0.14. Which is the third biggest value? (a) o (b) x (c) 18 b Let u = -3.4 + 3.2. Let k = -15 - -16. Let w = k - 1.5. Which is the second biggest value? (a) 2 (b) u (c) w b Let b = -9 - -14. Let r = -37 - -40. Let d = -1 + r. What is the third biggest value in d, 2/9, b? 2/9 Let n = -6.503 + 0.003. Let l = -6.5 - n. What is the smallest value in 3, l, 0.1, -1.5? -1.5 Let p = -79 - -79.074. Let d = p - -0.926. Which is the second biggest value? (a) -3 (b) d (c) -0.19 c Let n = 0.041 + -12.041. Let t = -8.1 - -20.4. Let u = t + n. Which is the second biggest value? (a) 4 (b) 0 (c) u c Let r(k) = -4*k**2 + 6*k**3 + 1 - 7*k**3 - k - k**3 + k**3. Let p be r(-4). Let y = -4.02 + 0.02. Which is the smallest value? (a) -0.4 (b) p (c) y c Let r be 3 + -11 - (-8 - 4). Which is the third biggest value? (a) -0.6 (b) -6 (c) r (d) -0.5 a Let n = 415 - 555. Which is the biggest value? (a) 1/3 (b) 4 (c) n b Suppose 0 = -3*h + 5*l + 24 + 1, 0 = -4*h + 4*l + 28. What is the second smallest value in -0.7, -6/5, h, 7? -0.7 Suppose 0*m - 2*m + 8 = 0. Suppose -4*o + 5*v + 10 = 0, 0 = -m*o + o + 2*v + 11. Suppose -k - 16 = 3*k. Which is the smallest value? (a) k (b) -0.2 (c) o a Let v = -426.1 + 432. Let p = 17 + -20. Which is the second smallest value? (a) -4 (b) p (c) v b Let m = -1314.9 - -1315. Which is the second biggest value? (a) m (b) -1/3 (c) -20 b Let n = -0.3 - -0.2. Let f = -0.3 + 0.39. Let j = f + -1.09. Which is the second biggest value? (a) 2/7 (b) n (c) j b Let o = 44 + -42.04. Let s = o + 0.04. Suppose 0 = -3*w + 2*k + 9, 5*k + 5 = -5*w + 45. Which is the third smallest value? (a) w (b) s (c) 0.2 a Let k = -12.9 + 13. Let i = -35 + 18. Let g = i + 16. What is the second smallest value in g, 1/7, k? k Let a = -0.641 + 9.701. Let b = 9 - a. Let z = -0.06 - b. What is the biggest value in z, -0.3, -11? z Let z = 2.8 + -7.5. Let m = -6.7 - z. Let p be ((-2)/(-6))/((-28)/(-63)). Which is the third biggest value? (a) p (b) m (c) 4 b Suppose -1 = -2*n - 2*o + 3, -4*o - 8 = -4*n. Let g be (0 + 2)/30*n. Let q be (2/6)/(1/(-6)). Which is the third smallest value? (a) q (b) g (c) 1/5 c Let r = -0.6 + 0.4. Let v = 16 - 12. Which is the biggest value? (a) r (b) v (c) -1 b Suppose 4*c + 26 = 2*l, -2*l - 2 = 4*c + 4. Suppose -5*t + 4*b = 1, 2*b + 6 = -l*t + 29. Let k = -177 - -182. What is the third smallest value in k, t, -0.3? k Let q = -1280 - -10239/8. Which is the second biggest value? (a) -2 (b) -1/66 (c) q c Let o(q) = -2*q - 10. Let f be o(6). Let w be -3*5/((-10)/(-16)). Let h = w - f. Which is the biggest value? (a) 1/8 (b) h (c) 0.4 c Let v = 7082/15 + -471. Let n = 4/5 - v. Let o = -0.18 - -0.38. Which is the second biggest value? (a) o (b) n (c) -1/2 b Let x = -397/16 + 42543/1712. Let g = x + -456/749. Which is the second smallest value? (a) 3 (b) 8 (c) g a Let q = 5 + -6. Let y = 3.97 + -4.17. What is the biggest value in q, 2/11, y? 2/11 Let y be (1/(-9))/(141/(-18) + 7). Let o be 4/1*(-1)/18. Let s be (3/(-15))/(10/(-25)). Which is the biggest value? (a) s (b) o (c) y a Let m = 0.56 + -17.56. What is the second smallest value in 0.01, -3/5, m? -3/5 Let l = 1128 + -986. What is the third smallest value in l, -1/4,
{ "pile_set_name": "DM Mathematics" }
3*n + 18 + 1 = 5*b, n = 4*b - 11. What is the lowest common multiple of t(b) and 6? 42 Let x(a) = a**2 - a - 1. What is the smallest common multiple of 4 and x(4)? 44 Suppose -4*o - 1 = -3*k, 4*o - 11 = 3*k - 4*k. Suppose -14 - o = l. What is the common denominator of -79/4 and ((-2)/l)/((-4)/14)? 16 Let q = -9 + 1. Let m = q - -11. Let c(b) = -b**3 + 6*b**2 + 8*b + 1. What is the lowest common multiple of m and c(7)? 24 Let z be (20/8)/(2/4). Suppose -z*k + 2 = -4*l - 5, -4*k = l - 14. Calculate the lowest common multiple of k and 5. 15 Let m = -76 + 381/5. Calculate the common denominator of -1 - (0 - 6/(-7)) and m. 35 Let g be (-2)/6 + (-4)/(-3). Let p = -20 - -15. Find the common denominator of -121/10 and g/4*(-4 - p). 20 Let n = -2/6685 + 147096/86905. Let b(o) = -o**2 - o + 76. Let z be b(0). Find the common denominator of -1*(-2)/(-36)*z and n. 117 Suppose 12*w - 61 + 1 = 0. Calculate the smallest common multiple of w and 28. 140 Let n = 59 + 28. Suppose -5*i + 0 = 2*q - 9, -5*q = -3*i - 7. What is the least common multiple of (-3)/(-12) + n/4 and q? 22 Calculate the common denominator of 39/38 and -29 + 34 + 106/12. 114 Calculate the smallest common multiple of (11 - 10)*(0 + 2) - -4 and 54. 54 Let f = -11647/4 + 2932. What is the common denominator of f and 462/72 - 1/(-4)? 12 Let q be (-1637)/(-2) + 6/2. Let d = q - 774. Calculate the common denominator of d and -85/6. 6 Calculate the common denominator of ((-124)/36 - 3)*3 and -9. 3 Let n = 20 - 18. Suppose -n*m + 7*m = 30. Calculate the lowest common multiple of 6 and m. 6 Let h be 0 - (5620824249717/7170 - 0). Let r = h + 783936394. Let k = r + 2/1195. Calculate the common denominator of k and -7/10. 10 Find the common denominator of 18/(-45)*(-54)/4 and 17/6. 30 Find the common denominator of (-224)/(-36) + 1/1 and -85/12. 36 Suppose -a - 5 = -q - q, 0 = -3*q + 3*a + 9. Suppose 7*s = q*s - 1515. What is the common denominator of 69/20 and 16/(-24)*s/(-32)? 80 Let k = -14681 - -205643/14. Calculate the common denominator of k and 89/16. 112 Let t(q) = 2*q**2 + 7 - 7 - q**3 + 2 + 4*q. Suppose -3*g - g = 5*m + 2, g - 3 = -3*m. Calculate the smallest common multiple of t(-2) and m. 10 Let t = 10 - 12. What is the least common multiple of 4/(-1*t/8) and 6? 48 Let i = 2591739/428380 + -2/21419. What is the common denominator of i and -123/10? 20 Let i be (-4)/18 + (-36635)/(-63). Let n = i + -580. Let j = 2/1081 - -82150/3243. Find the common denominator of j and n. 21 Let n = 575 + -1649/3. What is the common denominator of n and -21/8? 24 Let k = 6 - -8. Let v = 23 + -13. Calculate the least common multiple of k and v. 70 Suppose 5*l - 31 = 14. Let g = 11 - 6. Calculate the smallest common multiple of l and g. 45 Suppose 11*o - 120 = 5*o. Calculate the lowest common multiple of o and 26. 260 Let n = -5 + 1. Let u = -88557/19144 + 2/2393. What is the common denominator of u and (-38)/30*18/n? 40 Let l be 28869/32868 + (-2)/8. Let m = 2/249 + l. What is the common denominator of ((-2)/(-8))/((-6)/(-68)) and m? 66 Let r = 20 - 12. Suppose -5*k - 2 = 3*c, 0 = c - 3*k + k + r. Calculate the lowest common multiple of 14 and 0/(-1) - c*3. 84 Calculate the common denominator of -26/3 and ((-116)/(-6))/(2 + 1). 9 Suppose 5*q = 10, -12 = -3*o - 5*q + 7. Let x = -7 + 19. Let g = x + -9. What is the smallest common multiple of o and g? 3 Let i(h) be the second derivative of h**3/6 - 5*h**2/2 + h. What is the least common multiple of 11 and i(10)? 55 Let h = 3 + 2. Suppose 5*w = 3*s - 0*w - 26, -h*s = 3*w - 32. What is the least common multiple of 6 and s? 42 Suppose 3*y - j - 3*j = -2, 2*j = y. Let k be 1*(y + 3) - 5. Let s = k + 12. Calculate the least common multiple of 10 and s. 40 Let j be 3*(-1)/3*1. Let a(v) = -13*v - 7. Let q be a(-2). Let b = q + j. Calculate the least common multiple of b and 22. 198 Suppose -2*y = 2*y + 12. Let m be (-68)/6*(-9 - y). Suppose -m = -4*w - b, 1 = -b - 3. Calculate the smallest common multiple of w and 8. 72 Let n(z) = z**3 + 2*z**2 - 1. Let u be n(-2). Calculate the common denominator of (182/(-16))/u - -1 and (-3)/(-9) - 26/(-48). 8 Let o(m) = m**3 - 6*m**2 - 12*m + 8. Let k be -16*(14/(-4) - -3). Let b be o(k). Suppose b = 5*v - 0*v. What is the least common multiple of v and 10? 40 Suppose q - 10916 = -145537. Let t be (-2)/(-8) - q/(-44). Let l = -3058 - t. Find the common denominator of l and -99/20. 220 Let j be ((-2)/(-20))/((-5)/(-624515)). Let o = -12501 + j. Calculate the common denominator of o and -17/6. 30 Let a(f) = f**2 - f. Let d be a(-1). Let i be 78/27 + d*-1. Let v = i + -73/72. What is the common denominator of v and -109/6? 24 Let x(f) = -f + 3. Let d be x(-4). Let k(q) = q + 9. Calculate the smallest common multiple of k(d) and 12. 48 Calculate the smallest common multiple of 2/4*(-240)/(-5) and 20. 120 Suppose -3*v = 4*k + 136, -v + 20 = 3*k + 62. Calculate the common denominator of (-9)/54 + (-191)/v and 61/16. 16 Suppose 2*a - 6*u + 4 = -2*u, -2*u = -2*a. What is the smallest common multiple of a and 2? 2 Let l(m) = -7*m**3 + 3*m + 2. Suppose -4*y + 52 = -5*b, -3*b + 28 = 2*y - 20. Calculate the lowest common multiple of l(-1) and y. 18 Suppose 0 = z - 52 + 20. Calculate the smallest common multiple of z and 40. 160 Let i = -1654 - -5020/3. What is the common denominator of -7/29 and i? 87 Let b(x) = 3*x**2 - 3*x - 1. Let j be -9*1*6/(-9). Let v be b(j). What is the common denominator of (3/((-3)/v))/(-2) and -37/5? 10 Suppose -h = 4*g - 12, -4*h + 2 + 12 = -g. Suppose g*m - 5*m = -6. Calculate the smallest common multiple of 56 and m. 56 Let f = -12 + 6. Let p be -10*3/(f/(-4)). Find the common denominator of -44/9 and -1 + (-1)/p*214. 90 Suppose 5*i = -2*r - 324 - 76, -4*r - 254 = 3*i. Suppose 4*n = -2*s + 124, -5*n + 128 = -n + s. What is the common denominator of (i/(-8))/(n/(-12)) and 26/11? 11 Let a = 4265 + -34029/8. Find the common denominator of -45/7 and a. 56 Let o(g) = g**2 - g + 14. Let b be o(0). Let l = 22 - b. Calculate the smallest common multiple of (-1)/2 + 52/l and 9. 18 Suppose -2*v + 4 + 0 = 0. Suppose 5 + v = 4*r - 3*d, -5*r = d - 23. Let a = 36 + -18. Calculate the lowest common multiple of r and a. 36 Let d(p) = -p**3 + 5*p**2 - 4*p + 1. Let a be d(3). Suppose -6 = 5*q - a*q. Suppose t = 1, -6 = -4*f + f - q*t. Calculate the least common multiple of f and 7. 7 Let g be ((-96)/10)/(2/(-285)). Let h = g - 30109/22. Find the common denominator of 59/2 and h. 22 Let d = 17 - 12. What is the smallest common multiple of 21 and d? 105 Let q(r) be the second derivative of -r**3/3 - r**2 - 4*r. Calculate the lowest common multiple of q(-4) and 7. 42 What is the lowest common multiple of (4 + (-55)/10)*-12 and 18? 18 Calculate the common denominator of -101/36 and 4/36 + 249/(-1728)*14. 288 Suppose 5*m - 3*u = -2*u + 7, 4*m = -u + 2. What is the common denominator of ((-1407)/(-12))/7*2 and 16/(-14) - (0 + m)? 14 Let o = 1229/58 + 9/29. Let r = 7521 + -44987/6. Calculate the common denominator of r and o. 6 Suppose 8*d - 43 - 277 = 0. Calculate the lowest common multiple of d and 32. 160 Let v = -213 + 1249/6. Suppose 5*r - 2 - 3 = 0. Calculate the common denominator of v and ((-150)/28)/r + 0. 42 Let i = 39374/9 - 4383. Calculate the common denominator of -49/33 and i. 99 Let p = -14 + 20. Suppose -d = 4*f - 7, -2*d - p - 4 = -4*f. Let w = 25 - 17. Calculate the lowest common multiple of f and w. 8 Suppose 2*l = m + 4*m + 2, 0 = 4*l - 2*m + 28. Let t = l - -16. Calculate the lowest common multiple of t and 19. 133 Let i be 1642/304732394*(-1)/5. Let v = -373533850638703/40165253191170 - i. Let m = -2/26361 + v. What is the common denominator of m and -39/2? 10 Calculate the common denominator of (-1)/(((-338)/85)/1 + 4) and 71/20. 20 Let i = -24 - -34. Calculate the lowest common multiple of 8 and i. 40 Suppose n = -0*n. Suppose 2*l - l - 7 = n. Calculate the lowest common multiple of l and 5. 35 Let c = -159765471467/19152656 + 20/1197041. Let b = c + 8346. What is the common denominator of b and -79/18? 144 Suppose -54 = -5*i + 6. What is the smallest common multiple of i and 24? 24 Suppose 5*u - 7 + 23 = k, -42 = -4*k - 2*u. Calculate the least common multiple of k and 3. 33 Let i = 80105/12 + -6683. Calcu
{ "pile_set_name": "DM Mathematics" }
50, 832? -3*t**2 + 115*t + 250 What is the k'th term of 330, 391, 454, 525, 610, 715, 846? k**3 - 5*k**2 + 69*k + 265 What is the q'th term of -12701, -12702, -12703, -12704? -q - 12700 What is the d'th term of 182, 106, -8, -166, -374, -638, -964, -1358? -d**3 - 13*d**2 - 30*d + 226 What is the o'th term of -57, -69, -63, -39, 3, 63? 9*o**2 - 39*o - 27 What is the s'th term of -29121, -29123, -29125, -29127, -29129? -2*s - 29119 What is the j'th term of -1759, -3414, -5069, -6724? -1655*j - 104 What is the d'th term of 976, 3861, 8662, 15373, 23988? -d**3 + 964*d**2 + 13 What is the r'th term of 3983, 8487, 12991? 4504*r - 521 What is the b'th term of -389, -1687, -3897, -7019, -11053? -456*b**2 + 70*b - 3 What is the c'th term of 15, -281, -577? -296*c + 311 What is the n'th term of 4045, 8106, 12181, 16276, 20397, 24550? n**3 + n**2 + 4051*n - 8 What is the d'th term of -49513, -49566, -49619, -49672, -49725? -53*d - 49460 What is the l'th term of 18569, 18560, 18551, 18542? -9*l + 18578 What is the z'th term of -9607, -38437, -86487, -153757, -240247, -345957? -9610*z**2 + 3 What is the d'th term of 261, 238, 193, 120, 13, -134, -327? -d**3 - 5*d**2 - d + 268 What is the j'th term of -154252, -154265, -154292, -154339, -154412, -154517? -j**3 - j**2 - 3*j - 154247 What is the y'th term of -38298, -38307, -38316, -38325, -38334? -9*y - 38289 What is the s'th term of 39498, 39558, 39602, 39624, 39618? -s**3 - 2*s**2 + 73*s + 39428 What is the l'th term of 7455, 14913, 22371? 7458*l - 3 What is the y'th term of -38699, -77419, -116139, -154859? -38720*y + 21 What is the q'th term of -1490, -1622, -1756, -1892? -q**2 - 129*q - 1360 What is the l'th term of -3699, -3737, -3791, -3861, -3947, -4049, -4167? -8*l**2 - 14*l - 3677 What is the h'th term of -389368, -778736, -1168104, -1557472, -1946840, -2336208? -389368*h What is the p'th term of 136137, 136132, 136127, 136122, 136117, 136112? -5*p + 136142 What is the c'th term of -36227, -36187, -36077, -35861, -35503, -34967, -34217, -33217? 6*c**3 - c**2 + c - 36233 What is the g'th term of 9234, 9232, 9230, 9228, 9226, 9224? -2*g + 9236 What is the t'th term of 1380, 1388, 1400, 1416? 2*t**2 + 2*t + 1376 What is the b'th term of -43901, -43952, -44003, -44054? -51*b - 43850 What is the k'th term of 15300, 30584, 45868, 61152, 76436, 91720? 15284*k + 16 What is the t'th term of -768, -1553, -2338? -785*t + 17 What is the d'th term of 543554, 543558, 543564, 543572? d**2 + d + 543552 What is the q'th term of -84, -302, -660, -1158, -1796? -70*q**2 - 8*q - 6 What is the y'th term of -181, -669, -1471, -2587, -4017, -5761, -7819? -157*y**2 - 17*y - 7 What is the n'th term of -256335, -256317, -256289, -256245, -256179, -256085? n**3 - n**2 + 14*n - 256349 What is the w'th term of 4508, 36146, 122032, 289292, 565052, 976438, 1550576? 4521*w**3 - 2*w**2 - 3*w - 8 What is the r'th term of 38509, 38500, 38489, 38476? -r**2 - 6*r + 38516 What is the m'th term of -344, -598, -764, -842, -832, -734? 44*m**2 - 386*m - 2 What is the l'th term of 4657, 9270, 13883, 18496, 23109, 27722? 4613*l + 44 What is the d'th term of -1571707, -1571709, -1571711, -1571713, -1571715, -1571717? -2*d - 1571705 What is the c'th term of 114, -24, -162, -300? -138*c + 252 What is the n'th term of 193, 168, 117, 34, -87, -252? -n**3 - 7*n**2 + 3*n + 198 What is the f'th term of 4165, 8325, 12483, 16639, 20793? -f**2 + 4163*f + 3 What is the h'th term of 15, 40, 47, 18, -65? -3*h**3 + 9*h**2 + 19*h - 10 What is the c'th term of -5, -22, -51, -98, -169, -270, -407? -c**3 - 10*c + 6 What is the v'th term of -2992, -6077, -9258, -12535, -15908, -19377, -22942? -48*v**2 - 2941*v - 3 What is the m'th term of -200, -448, -694, -938, -1180? m**2 - 251*m + 50 What is the c'th term of -155371, -155370, -155369, -155368, -155367, -155366? c - 155372 What is the p'th term of -493, -983, -1477, -1975? -2*p**2 - 484*p - 7 What is the j'th term of -19201, -19202, -19203, -19204? -j - 19200 What is the b'th term of 217, 939, 2163, 3883, 6093, 8787, 11959, 15603? -b**3 + 257*b**2 - 42*b + 3 What is the f'th term of -5174, -5127, -5048, -4937, -4794? 16*f**2 - f - 5189 What is the z'th term of -1867, -1782, -1639, -1438, -1179, -862? 29*z**2 - 2*z - 1894 What is the t'th term of 30499, 60998, 91497, 121996, 152495? 30499*t What is the i'th term of 590, 1221, 1842, 2447, 3030, 3585, 4106? -i**3 + i**2 + 635*i - 45 What is the x'th term of -426340, -852683, -1279028, -1705375? -x**2 - 426340*x + 1 What is the o'th term of 2102, 8350, 18764, 33344, 52090, 75002? 2083*o**2 - o + 20 What is the w'th term of 550, 1093, 1632, 2167, 2698, 3225, 3748? -2*w**2 + 549*w + 3 What is the z'th term of 14, 150, 446, 956, 1734, 2834, 4310, 6216? 9*z**3 + 26*z**2 - 5*z - 16 What is the d'th term of 215, 794, 1757, 3110, 4859? d**3 + 186*d**2 + 14*d + 14 What is the b'th term of -11, -102, -247, -440, -675, -946, -1247? b**3 - 33*b**2 + b + 20 What is the k'th term of 380, 826, 1272, 1718, 2164? 446*k - 66 What is the w'th term of -17812, -17841, -17882, -17941, -18024? -w**3 - 22*w - 17789 What is the c'th term of -194249, -194246, -194243? 3*c - 194252 What is the l'th term of -784, -1063, -1342, -1621? -279*l - 505 What is the x'th term of -5873, -46967, -158503, -375701, -733781, -1267963, -2013467? -5870*x**3 - x**2 - x - 1 What is the t'th term of -576758, -576773, -576802, -576851, -576926, -577033? -t**3 - t**2 - 5*t - 576751 What is the w'th term of -272, -321, -396, -491, -600, -717, -836? w**3 - 19*w**2 + w - 255 What is the l'th term of -323, -995, -2019, -3395, -5123, -7203, -9635? -176*l**2 - 144*l - 3 What is the a'th term of 3015, 3023, 3029, 3027, 3011? -a**3 + 5*a**2 + 3011 What is the l'th term of -768, -3162, -7160, -12762, -19968, -28778, -39192? -802*l**2 + 12*l + 22 What is the r'th term of -205143, -205142, -205141? r - 205144 What is the v'th term of 1269, 10512, 35671, 84702, 165561, 286204? 1326*v**3 + 2*v**2 - 45*v - 14 What is the z'th term of 1397, 1403, 1403, 1397, 1385, 1367, 1343? -3*z**2 + 15*z + 1385 What is the n'th term of -24007, -24009, -24011, -24013, -24015, -24017? -2*n - 24005 What is the o'th term of 4878, 4757, 4636, 4515, 4394, 4273? -121*o + 4999 What is the l'th term of -1147, -2219, -3287, -4351? 2*l**2 - 1078*l - 71 What is the j'th term of -610615, -1221230, -1831845, -2442460, -3053075, -3663690? -610615*j What is the r'th term of 342731, 342722, 342725, 342746, 342791? r**3 - 16*r + 342746 What is the h'th term of -659, -1480, -2399, -3410, -4507, -5684? h**3 - 55*h**2 - 663*h + 58 What is the k'th term of -457556, -457559, -457562, -457565, -457568, -457571? -3*k - 457553 What is the x'th term of -926, -3934, -8946, -15962, -24982? -1002*x**2 - 2*x + 78 What is the r'th term of -76405, -76404, -76403? r - 76406 What is the d'th term of -656, -791, -926, -1061? -135*d - 521 What is the i'th term of 15402, 30826, 46254, 61686, 77122, 92562? 2*i**2 + 15418*i - 18 What is the t'th term of -67042, -134080, -201118? -67038*t - 4 What is the c'th term of 174, 241, 308, 375, 442? 67*c + 107 What is the b'th term of 5238, 5255, 5274, 5295, 5318, 5343? b**2 + 14*b + 5223 What is the n'th term of 26, 231, 780, 1841, 3582, 6171? 28*n**3 + 4*n**2 - 3*n - 3 What is the w'th term of 189, 369, 571, 801, 1065, 1369, 1719, 2121? w**3 + 5*w**2 + 158*w + 25 What is the s'th term of -1086, -1068, -1050, -1032, -1014, -996? 18*s - 1104 What is the d'th term of 927, 3827, 8669, 15459, 24203, 34907, 47577, 62219? d**3 + 965*d**2 - 2*d - 37 What is the k'th term of 239, 901, 1973, 3449, 5323, 7589, 10241? -k**3 + 211*k**2 + 36*k - 7 What is the s'th term of -1920, -1932, -1944, -1956, -1968? -12*s - 1908 What is the s'th term of -1497, -5864, -13123, -23274, -36317? -1446*s**2 - 29*s - 22 What is the p'th term of 765, 810, 865, 936, 1029? p**3 - p**2 + 41*p + 724 What is the t'th term of 120, 353, 702, 1167, 1748, 2445, 3258? 58*t**2 + 59*t + 3 What is the n'th term of -978, -885, -792, -699, -606, -513? 93*n - 1071 What is the g'th term of 50750, 50758, 50760, 50750, 50722, 50670, 50588? -g**3 + 3*g**2 + 6*g + 50742 What is the m'th term of -895, -1823, -2753, -3685? -m**2 - 925*m + 31 What is the g'th term of -1197, -1211, -12
{ "pile_set_name": "DM Mathematics" }
5/45 - 178*x**4/9 + 352*x**3/9 + 49*x**2 + 3*x. Determine r so that q(r) = 0. 2, 44 Let m = 73971 + -73966. Factor 16/13*k**2 - 14/13*k + 4/13 - 4/13*k**4 + 2/13*k**m - 4/13*k**3. 2*(k - 1)**4*(k + 2)/13 Let a(l) = -l**2 + 2*l - 9. Suppose -j = j - 4, -j = -4*g + 14. Let c(n) = n**2 - 2*n + 19. Let w(z) = g*c(z) + 9*a(z). Factor w(h). -5*(h - 1)**2 Factor -48/7 + 134/7*h**2 - 1604/7*h. 2*(h - 12)*(67*h + 2)/7 Suppose 8*c = 34 + 126. Let x(z) = z**3 - 21*z**2 + 17*z + 62. Let s be x(c). Suppose -2/9*j**s + 4/9 - 2/9*j = 0. What is j? -2, 1 Let f(z) be the second derivative of -z**7/210 - z**6/45 + z**5/2 + 181*z**3/6 - 2*z + 29. Let t(n) be the second derivative of f(n). Factor t(p). -4*p*(p - 3)*(p + 5) Let t(p) be the third derivative of 2/9*p**3 - p + 2/45*p**5 + 1/180*p**6 + 5/36*p**4 + 0 - p**2. Factor t(z). 2*(z + 1)**2*(z + 2)/3 Let o(r) be the third derivative of -r**7/735 + 11*r**6/140 - 81*r**5/70 + 225*r**4/28 - 216*r**3/7 - 2*r**2 - 26*r. Factor o(k). -2*(k - 24)*(k - 3)**3/7 Factor -1/2*m**3 - 2904 + 16*m**2 + 22*m. -(m - 22)**2*(m + 12)/2 Let t(h) be the first derivative of -h**3/5 + 81*h**2/10 - 378*h/5 + 2535. Find n such that t(n) = 0. 6, 21 Find b such that 2/3*b**5 + 0 - 20*b**2 + 15/2*b**4 - 6*b + 107/6*b**3 = 0. -6, -1/4, 0, 1 Suppose 37*k - 34*k = 4*r + 1, 0 = -5*r - 4*k + 22. Let i(q) be the first derivative of 11 + 1/5*q**5 + 1/3*q**3 + 1/2*q**4 + 0*q**r + 0*q. Factor i(h). h**2*(h + 1)**2 Let k be ((59682/441)/203)/(14/6). Factor -6/7*w**2 + 0 + k*w**3 + 0*w. 2*w**2*(w - 3)/7 Suppose -2376 = 4*w - 2*j, -21*j + 26*j - 1180 = 2*w. Let p = w + 1787/3. Solve -p + 1/3*g + g**2 = 0. -1, 2/3 Factor 2/3*f**2 - 118 + 112/3*f. 2*(f - 3)*(f + 59)/3 Let w(v) = 2*v + 2. Let c be w(0). Suppose -z = z - 2*b, c*b = 4*z - 8. Factor -4/5*j**z + 8/5*j + 0*j**2 - 8/5*j**3 + 4/5. -4*(j - 1)*(j + 1)**3/5 Let n be ((-34)/2 + 8174/402)/(4/9). Factor -11*h**2 + n*h - 5/2*h**3 + 0. -h*(h + 5)*(5*h - 3)/2 Suppose -230*l - 1410 + 5/6*l**2 = 0. What is l? -6, 282 Let s(k) = -5*k**2 + 5815*k - 6035. Let v(b) = 3*b**2 - 2907*b + 2994. Let j(g) = -2*s(g) - 5*v(g). Determine z, given that j(z) = 0. 1, 580 Let h(k) be the third derivative of k**7/315 - k**6/60 - 11*k**5/45 + 2*k**4/3 - 1112*k**2. Factor h(t). 2*t*(t - 6)*(t - 1)*(t + 4)/3 Suppose -107 = -11*a + 69. Let 24 - a*u**2 - 27*u**3 - 60 + 55*u**3 - 26*u**3 + 42*u = 0. What is u? 2, 3 Let n be (-7)/13*(-2 + 1)*(55 - 53). Factor -n - 12/13*f + 2/13*f**2. 2*(f - 7)*(f + 1)/13 Let t = 316272 + -2213903/7. Determine f, given that -4/7*f**3 + 48/7 + t*f**4 + 40/7*f - 13/7*f**2 = 0. -3, -1, 4 Suppose -38 = 5*o - 4*h, -5*h + 56 + 12 = 4*o. Factor 2/13*d**o + 30/13 + 32/13*d. 2*(d + 1)*(d + 15)/13 Let t(f) be the third derivative of -f**6/75 + 92*f**5/25 + 37*f**4/4 + 139*f**3/15 - 101*f**2 - 9. What is c in t(c) = 0? -1/2, 139 Let p = 4046195/7 + -578027. Find c such that 0 + 2/7*c**5 + 12/7*c + 2*c**2 - p*c**3 - 6/7*c**4 = 0. -1, 0, 2, 3 Let y = -293 - -295. Suppose -y*r - 7 = -r + 5*g, 2*g + 4 = 0. Find v, given that 1/2*v + 0*v**2 + 0*v**4 + 0 - v**r + 1/2*v**5 = 0. -1, 0, 1 Suppose 55*y - 48*y = -63. Let a be 5/45*y/(-3). What is h in -a*h**2 + 1/3 - 1/3*h**3 + 1/3*h = 0? -1, 1 Let h = 1235/2606 + 34/1303. Find d, given that 11/2*d + 5 + h*d**2 = 0. -10, -1 Let g(d) = -d**2 - d - 1. Let w(x) = -26*x**2 - 63*x - 28. Let h(b) = 6*g(b) + w(b). Let q(r) = r**2 - 1. Let j(c) = -h(c) - 2*q(c). Let j(n) = 0. Calculate n. -3/2, -4/5 Suppose -75/2*i + 33/2*i**4 + 3*i**2 + 39*i**3 - 3/2*i**5 - 39/2 = 0. What is i? -1, 1, 13 Suppose -135 = -9981*r + 9954*r. Let j**4 + 0 + 5/7*j**2 - 1/7*j**r - 11/7*j**3 + 0*j = 0. What is j? 0, 1, 5 Suppose 19*y - 30 = -5*k + 14*y, -4*y = -5*k + 75. Suppose -4*c = -k - 1. Factor -5/3*x**c - 7/3*x + 1/3*x**4 + 3*x**2 + 2/3. (x - 2)*(x - 1)**3/3 Let c(r) be the first derivative of -5*r**4/2 - 125*r**3/3 - 130*r**2 - 100*r - 781. Factor c(a). -5*(a + 2)*(a + 10)*(2*a + 1) Let w(s) be the second derivative of -s**6/120 + 7*s**5/5 + 12*s - 29. Factor w(c). -c**3*(c - 112)/4 Let c(s) = -s**2 - 26*s + 58. Let a(m) = m**3 - 13*m**2 - 12*m + 128. Let y be a(13). Let n be c(y). Suppose -1/6*z**n + z - 4/3 = 0. Calculate z. 2, 4 Let l = -30 + 36. Let q(j) be the first derivative of -23*j**4 - l + 24*j**4 + 4 - 8. Find r such that q(r) = 0. 0 Let d = 9942 - 89462/9. Factor -2/9*h**5 + 0*h + 0*h**2 + 14/9*h**4 + d*h**3 + 0. -2*h**3*(h - 8)*(h + 1)/9 Let v = 691 - 682. Factor -v*t**3 + 8*t + 16*t**2 - 15*t**2 + 7*t**3 + 6*t**3 - 13*t**2. 4*t*(t - 2)*(t - 1) Let d = 20139 + -60392/3. Let y(x) = -3*x + 58. Let j be y(16). Suppose d*l**2 + 25/3*l + 5/3*l**4 - 25/3*l**3 - j = 0. What is l? -1, 1, 2, 3 Let i(d) be the third derivative of d**7/2205 + 5*d**6/252 + 83*d**5/630 - 25*d**4/252 - 4*d**3/3 + 13*d**2 + 36*d + 1. Solve i(g) = 0. -21, -4, -1, 1 Let k(a) be the second derivative of -10*a - 8/27*a**4 + 0*a**2 + 0*a**3 - 3 - 1/90*a**5. What is g in k(g) = 0? -16, 0 Let g = 279598 + -279596. Find z such that 0 - 3/5*z - 3/5*z**4 - 9/5*z**3 - 9/5*z**g = 0. -1, 0 Determine i so that 1848*i + 4169318 - 4169318 - 3*i**2 + 6*i**2 = 0. -616, 0 Suppose 8*t - 11*t + 17 = 2*y, -4*y = -3*t - 7. Find g such that -40 + 42 - 4*g**3 + 2 - y*g**2 + 4*g = 0. -1, 1 Determine s so that 4/5*s**3 - 2/5*s**5 + 1174/5 - 2348/5*s**2 + 1174/5*s**4 - 2/5*s = 0. -1, 1, 587 Factor 1/3*c**4 + 13/3*c**2 - 6 + 7/3*c**3 - c. (c - 1)*(c + 2)*(c + 3)**2/3 Let j = -22499 + 22499. Factor j*k - 2/5*k**4 + 0*k**2 + 0 + 6/5*k**3. -2*k**3*(k - 3)/5 Let o(s) = -13*s**2 - s + 1. Let r(c) = -53*c**2 - 9*c. Let p(q) = -4*o(q) + r(q). What is b in p(b) = 0? -4, -1 Suppose -94*a + 392 = -78. Suppose 4*c - 4 = 4*y, -a*c - y = -4*c - 5. Solve 6/5*s**4 + 0*s - 2/5*s**5 - 14/5*s**2 + 8/5 + 2/5*s**c = 0 for s. -1, 1, 2 Factor 1/2*b**2 - 32*b + 350. (b - 50)*(b - 14)/2 Let l = 447/4 + -6701/60. Let y(x) be the first derivative of -13 + 2/15*x**3 + 1/10*x**4 + 0*x**2 + 0*x - l*x**6 - 2/25*x**5. Factor y(g). -2*g**2*(g - 1)*(g + 1)**2/5 Let j(b) be the first derivative of b + 21/4*b**2 - 21/8*b**4 - 135 - 1/3*b**3. Determine w, given that j(w) = 0. -1, -2/21, 1 Let m(d) = -4*d**2 - 28*d + 24. Let h(s) = 66*s + 84*s + 17*s**2 - 96 - 35*s. Let q(a) = 4*h(a) + 18*m(a). Let q(v) = 0. Calculate v. -12, 1 Let m be 16/(-160)*38*(-4)/((-32)/(-50)). Let a(b) be the first derivative of 6*b**5 + 0*b + 95/3*b**3 + 15*b**2 - 27 + m*b**4. Suppose a(u) = 0. Calculate u. -3/2, -1, -2/3, 0 Let c = 88177 + -88175. Factor 2/7*r**3 + 2*r + 10/7*r**c + 6/7. 2*(r + 1)**2*(r + 3)/7 Let x(b) = 3*b**2 - 122*b + 720. Let r(t) = -680 - 4*t**2 + 245*t - 2*t**2 + t**2 - 760. Let z(d) = 2*r(d) + 5*x(d). Determine q, given that z(q) = 0. 12 Factor 5*o**3 - 408*o + 5*o**3 + 13882*o**2 - 13208*o**2. 2*o*(o + 68)*(5*o - 3) Let l(s) = 2*s**2 - 2*s - 1. Let m(a) be the first derivative of 7*a**3/3 + 91*a**2 + 2881*a + 239. Let v(c) = 2*l(c) - m(c). Let v(t) = 0. What is t? -31 Find r, given that 36 - 7/4*r**2 + 137/4*r = 0. -1, 144/7 Suppose 4*g - 55 = -5*h, 5*g - 25*h + 20*h - 35 = 0. Let k be g - (10 + 12/(-4)). Determine s so that -8*s + 4/3 + 28/3*s**2 - 32/3*s**4 + 8*s**k = 0. -1, 1/4, 1/2, 1 Let n be 125/50*(-4)/10. Let z(o) = 4*o**2 + 14*o - 3. Let r(a) = -a**2 + 1. Let u(y) = n*z(y) - 3*r(y). Factor u(q). -q*(q + 14) Let s = 9114 + -9112. Let g(n) be the second derivative of -10/3*n**3 - 29*n + 0 + 8*n**s - 19/3*n**4 - 7/5*n**5 + 2/5*n**6. Determine b, given that g(b) = 0. -1, 1/3, 4 Factor 5*u**2 + 2909 + 47194*u - 46899*u + 661. 5*(u + 17)*(u + 42) Factor 136*o + 37356 + 4*o**2 - 18681 - 18675. 4*o*(o + 34) Factor 0 + 0*y - 35/4*y**2 - 1/4*y**3. -y**2*(y + 35)/4 Let q = -165/448 + -1716359/2240. Let x = q + 767. Let -4/5*v + 2/5*v**3 + x*v**2 + 0 = 0. Calculate v. -2, 0, 1 Let d be (-28112)/12299 + 51/7. Factor 48/7*l + 27/7*l**d - 16/7 - 8/7*l**2 + 27/7*l**4 - 72/7*l**3. (l + 1)*(l + 2)*(3*l - 2)**3/7 Let m(a) = -25*a**5 + 45*a**4 + 80*a**3 - 55*a + 15. Let k = -280 + 310. Let s(f) = f**4 + f**3 + f**2 - f. Let h(z) = k*s(z) - m(z). Solve h(i) = 0 for i. -1, 3/5, 1 Let k be (-64)/24*90/4. Let v be (-195)/k - (-1)/(-4). Let 0*j**4 + 0*j**2 + 0 + 3/5*j**5 - 6/5*j**v + 3/5*j = 0. Calculate j. -1, 0, 1 Let o(c) = 6*c**3 - 30*c**2 + 10*c + 62. Let w(f) = 2*f**3 - 10*f*
{ "pile_set_name": "DM Mathematics" }
t o(j) = -j - 1. Let y(z) = g(z) - 6*o(z). Let l be y(0). What is w(l)? -2 Let i(x) = -x**3 + 3*x**2 + 7*x - 4. Let o be i(5). Let c = o - -14. Let f(j) = j**2 + 5*j + 3. Determine f(c). 3 Let i(f) be the second derivative of f**4/12 + f**3/6 - f**2/2 - 14*f. Give i(2). 5 Let d(o) = -2*o + 1. Let w = 6 - 7. Let i = 2 + w. Determine d(i). -1 Let t(v) be the first derivative of v**4/4 + 4*v**3/3 - 7*v**2/2 - 2*v - 59. Calculate t(-5). 8 Let o(l) = l. Let z(d) = 21*d - 6. Let i(y) = 18*o(y) - z(y). What is i(7)? -15 Let c = 11 + -7. Suppose 3*d = -d + 20. Let s = d - c. Let u(m) = m**2 + m - 1. Determine u(s). 1 Let u(c) = -2*c + 10. Let o be u(5). Let s(t) = 5*t - 3*t + o*t. Suppose -z + 3*x = 2*z + 3, -2*x - 2 = 0. Determine s(z). -4 Let v(o) = -o + 7. Let z(t) = t - 4. Let s be z(9). Let q be v(s). Suppose -4*y = 5*a + 17 - 1, -20 = -q*a + 5*y. Let l(w) = w**3 - w**2 + 2. Give l(a). 2 Let l be (9/(-6) + 1)*2. Let z(t) = -2*t. Let w be z(l). Let r be (3 - (w + 0))/1. Let o(f) = -3*f**2 + 1. Determine o(r). -2 Let l(w) be the second derivative of -w**3/6 - 3*w**2/2 - 9*w. Give l(-3). 0 Let s(k) be the first derivative of -5*k**2/2 - 2*k - 14. Give s(3). -17 Let t(v) = -4*v**3 + 3*v + 2. Let y be t(-1). Let o(l) = -7 + 2*l - y*l + 2*l + 2. What is o(-5)? -10 Let h(y) = 27*y**2 - 25*y**2 + 0 + 1 - y**3. Give h(2). 1 Let l(s) = 2*s + 5. Let n(f) = f + 3. Let x(w) = 3*l(w) - 5*n(w). Determine x(-4). -4 Let h(l) = 2*l - 5. Let v(w) = 6*w - 16. Let a(r) = 10*h(r) - 3*v(r). Let m = -9 - -13. Suppose 5*p = 2*c - 4*c + 20, -5*c + 16 = m*p. Determine a(p). 6 Let v(m) = m**2 + 3*m + 3. Let y be v(-3). Let x(s) = s - y*s + s + s**2 - 6*s. What is x(5)? -10 Let s(k) = 2*k**3 + 4*k**2 + 4*k + 3. Suppose 3*n - 2*n = -3*h - 16, -2*n + 4 = 0. Let d = h - -4. Give s(d). -5 Let c(f) = f**3 + 8*f**2 + 8*f + 5. Let h(q) = -6*q**2 - q. Let y be h(1). Determine c(y). -2 Let l(v) be the second derivative of v**4/2 + v**3/6 - v. Suppose 20 - 14 = -6*f. Calculate l(f). 5 Let p(j) = 6 + j**3 - 2*j + j + 2*j + 4*j**2 + j. Let w = 2 - 6. Calculate p(w). -2 Let y(m) = 8*m + 13. Let q(z) = -9*z - 15. Let t(s) = -4*q(s) - 5*y(s). Determine t(5). -25 Let j(s) = -3*s**3 - 5*s**2 + 12*s - 10. Let t(z) = 4*z**3 + 8*z**2 - 18*z + 15. Let g(u) = 7*j(u) + 5*t(u). Give g(4). -3 Let x(v) = 1347*v + 5 + 0 - v**2 - 1344*v. Calculate x(5). -5 Let y(f) = 5*f + 8. Let r be y(-2). Let b(i) = -i. Give b(r). 2 Let b(x) = -8*x**2 - 1. Let y(f) = 8*f**2 + 1. Let h(o) = 6*b(o) + 5*y(o). Give h(1). -9 Let u = 11 + -8. Let i(n) = 4*n**u + 2*n**3 + n - 2*n. Suppose 0 = 2*y - 8, -2*y = 4*b - 7*y + 24. What is i(b)? -5 Let q(m) = -m**3 - 9*m**2 + 3. Let o be q(-9). Let u be ((-3)/3)/(1/o). Let r(w) = 2*w**2 + 3*w - 2. What is r(u)? 7 Let m(u) = u**2 - 3*u + 1. Let c = 7 - 4. Give m(c). 1 Let l(f) = -f**3 + 2*f. Suppose -4*x = -6*x. Suppose m + 2 = r - 4, x = 2*r + m. Give l(r). -4 Let x(g) be the third derivative of g**5/60 - 5*g**4/24 - g**3/3 + g**2. Suppose 41*l = 42*l - 6. Calculate x(l). 4 Suppose 40 = 5*f - 5*p, f - 7*p - 16 = -4*p. Let r(a) = 2*a - 3*a**3 - 2 + 2*a**3 + f*a**2 - 5*a + 4. Give r(3). 2 Let j(u) = -u**3 - 9*u**2 + u + 12. Let a be j(-9). Let k(q) = -q - 4*q + a*q + 3*q. Give k(1). 1 Let r = -13 - -9. Let f be 5/(-2) + 2/r. Let v(w) be the third derivative of -w**4/24 + w**3/6 + 2*w**2. Determine v(f). 4 Let s(y) be the second derivative of -3*y + 1/6*y**3 + 3*y**2 + 0. Give s(-3). 3 Let b(p) = -p - 3. Let f be b(-7). Suppose 2*n = 2, 0 = f*v - 2*v - 2*n. Let i(a) = 4*a**2. Determine i(v). 4 Let j(w) = 6*w**3 + 4*w**2 - 2*w - 1. Let i(l) = -l**3 + 1. Let q(f) = -5*i(f) - j(f). Let r be -23 + 18 + (2 - 2). What is q(r)? 11 Let f(a) = 2*a + 3. Suppose 7*o - 4 = -18. Calculate f(o). -1 Let x(c) be the third derivative of -c**6/120 + 3*c**5/20 + 3*c**4/8 + 7*c**3/6 - 2*c**2. Let t be x(10). Let w(a) = -a**3 - 3*a**2 - a + 4. What is w(t)? 7 Let a(r) be the first derivative of -3*r**2 - 3*r + 44. What is a(4)? -27 Let l(z) be the second derivative of z**3/3 - z**2 - 5*z. Suppose -4*k - 2*j + 20 = 2*j, -5*k + 5*j = 5. Calculate l(k). 2 Let n(b) = b - 2. Suppose 2*m = -0*m - 4*p - 2, -4*m - 2*p - 22 = 0. Let f(u) = -u - 7. Let h be f(m). Suppose h = q - 2*q + 2. Determine n(q). 0 Let y = 7 + -3. Let u = 5 - y. Let x(c) = 4*c**2 - 5*c**2 - 8*c**3 + 2*c**2. Give x(u). -7 Let i(b) = -b**2 + 4*b - 1. Let m be i(3). Let z(g) = -2 + g**3 - g**m + 0 - 3 + 4 - g. Determine z(-2). -11 Let l(c) = -1 + 0*c + 1 - c. Let z(g) = g + 4. Let m(i) = i - 4. Let h be m(0). Let j be z(h). Determine l(j). 0 Let j be ((-4)/(-3))/(6/(-9)). Let l = j - -7. Suppose 0 = -5*t - 4*a + 3 + 6, 37 = l*t - 3*a. Let b(h) = -h**2 + 4*h + 5. Give b(t). 0 Let o(v) = -2*v**3. Let w(q) = 3*q**3 + 3*q**2 + 6*q - 5. Let y(u) = 2*o(u) + w(u). Give y(4). 3 Let f(n) = 4*n - 38. Let z be f(10). Let a(p) = 2*p**2 + 2*p + 1. Give a(z). 13 Let l(d) = -d + 5. Let i(q) = -2*q + 6. Let k(o) = 2*i(o) - 3*l(o). Determine k(5). -8 Let s(k) be the first derivative of -5*k**4/24 - k**3/6 + k**2/2 - 1. Let c(q) be the second derivative of s(q). What is c(2)? -11 Let f = -133 + 138. Let o(d) = d + 1. Let j(x) = -2*x + 5. Let v(i) = j(i) + o(i). Calculate v(f). 1 Let c(s) = -s**2 + 5*s - 3. Suppose 4*f + 7 = -5*p, -2*p + 2 = 5*f - 2. Let u be (-2)/9 - 94/(-18). Let v = u - f. Determine c(v). 3 Let b(y) be the third derivative of -y**6/40 + y**4/24 + y**3/6 - 6*y**2. Calculate b(-1). 3 Suppose a + m + 4 = 0, 5 = 4*a - 5*m - 24. Let w(t) = -a + 2*t + 4 - 5*t**2 - 1 + 6*t**2. What is w(-3)? 5 Let f be (-2)/4*-1*10. Let s be (-64)/(-40) - (-1)/(-5)*-2. Let i(q) = 1 - f*q**s + q**3 + 5*q - q - 7. Determine i(4). -6 Suppose -6 = 4*w - 5*h, 26 = -2*w - 2*w - 5*h. Let b(j) be the first derivative of -1/3*j**3 - 2 + j - j**2. Give b(w). -7 Suppose -4*v = 5*o - 8, 5*v + o + 5 = 15. Let f(j) = 1 - 2 - j + 8*j - 6*j. Calculate f(v). 1 Let f(p) = -5*p**3 - 2*p + 2 + 4*p**3 + p**2 + 0*p**2. Give f(2). -6 Let z(l) = 14*l**3 + 11*l**2 - 24. Let a(o) = 5*o**3 + 4*o**2 - 8. Let i(j) = -11*a(j) + 4*z(j). Determine i(0). -8 Let c(n) be the third derivative of -n**5/60 - 3*n**4/8 - n**3/2 + 17*n**2. Give c(-5). 17 Let t(i) be the second derivative of -i**3/6 + 2*i. Let b = 8 + -9. Give t(b). 1 Let n be 4/(-16) - 9/(-4). Let z(t) be the third derivative of -1/60*t**5 + 1/24*t**4 + 0*t + 1/60*t**6 + 1/6*t**3 + 0 + n*t**2. Determine z(-1). -3 Let f be 2/(-9)*-3*195/26. Let c(x) = -x**3 + 4*x**2 + 4*x + 4. Calculate c(f). -1 Suppose 4*p = -0*p + 8. Let s(n) = -n**2 - p + 2 - 2 + 3 - 7*n. What is s(-6)? 7 Suppose -2*x = 3*x + 25, 4*t - 3*x = 55. Let a = t + -14. Let p(c) be the first derivative of -c**3/3 - 2*c**2 + 3*c + 1. Calculate p(a). 3 Let y be 33/(-7) - (-2)/(-7). Let z(o) = -o**2 - 4*o - 6. Let f(t) = t. Let j(d) = 2*f(d) - z(d). Let r be j(y). Let a(m) = -2*m - 1. Calculate a(r). -3 Let u(p) = p**3 + p + 4. Suppose 5*a + 12 = 2, 5*o - a = 2. Give u(o). 4 Let m(f) be the first derivative of -f**2/2 + f - 32. Determine m(0). 1 Let c(r) = 1 + 12*r**2 - 4*r**2 - 1. Suppose -5*u = -2*u - 2*a - 7, -2*u = 4*a + 6. Calculate c(u). 8 Let y be (1/1)/(4/(-3*4)). Let x(k) = 2*k + 4. Let u(p) = 2*p + 5. Suppose 2*m + 20 = 7*m. Let q(l) = m*x(l) - 3*u(l). What is q(y)? -5 Let r(a) = -a**2 + 1. Suppose -f - 2*f + 7 = 5*v, -5*f - 11 = -3*v. Let g be f*1*(-2 - -2). Calculate r(g). 1 Let r(n) = -n**2 + 1. Let y be r(2). Let h be ((-9)/6)/(y/4). Let m(f) = h*f + 8*f**2 - 6*f**2 - 5*f**2 - 1. Calculate m(1). -2 Let i(k) be the second derivative of 3*k + 2/3*k**3 - 1/12*k**4 + 1/2*k**2 + 0. What is i(5)? -4 Let u(x) be the first derivative of -1/12*x**4 + 4*x - 1/6*x**3 + 3/2*x**2 - 2. Let z(t) be the first derivative of u(t). Give z(3). -9 Suppose 0 = w - 2 - 3. Suppose -2*y - 1 = -w. Let n(k) = k**2 - k. What is n(y)? 2 Let j(k) = -7*k**3 - 2*k - 1. Suppose -g + v - 16 = 6*v, 0 = 4*v + 12. Calculate j(g). 8 Let t(f) = -f + 2*f + 5 + 3 - 3*f. Give t(7). -6 Let l be 3/2 - 3 - (-6)/(-4). Let t(s) = -s - 4. Determine t(l). -1 Let w(t) = -t + 1. Let b be w(7). Let v(g) = -g**3 - 5*g**2 + 7*g + 1. Determine v(b). -5 Let p(w) = 2*w**2 + 2 - 5 + 3*w**3 + 4 - 8*w**3 - 2*w. Give p(1). -4 Let h(o) = 6*o - 2. Let i(f) = f - 1. Let q(a) = -h(a) + 8*i(a). What is q(4)? 2 Let z(a) = 3*a +
{ "pile_set_name": "DM Mathematics" }
e of z(h) wrt h? 630*h**2 + 1 Let c(f) be the third derivative of 0*f**3 + 0 - 1/8*f**6 + 0*f**4 + 2/15*f**5 - 10*f**2 + 0*f. What is the third derivative of c(t) wrt t? -90 Let k(v) = 41*v**3 - 18*v**2 - 29. Let y(a) = -82*a**3 + 39*a**2 + 57. Let d(i) = 13*k(i) + 6*y(i). Differentiate d(z) wrt z. 123*z**2 Let a(l) be the first derivative of -5*l**9/3024 + l**6/72 + 8*l**3/3 + 8. Let x(q) be the third derivative of a(q). What is the third derivative of x(f) wrt f? -300*f**2 Let f(w) be the second derivative of w**5/10 + 53*w**4/12 + 355*w**2/2 - 12*w - 7. Differentiate f(a) with respect to a. 6*a**2 + 106*a Let u(p) be the first derivative of 11*p**5/120 + 3*p**4/4 + 17*p**3/3 + 18. Let w(f) be the third derivative of u(f). Find the first derivative of w(l) wrt l. 11 Let h(c) = 13*c - 4*c**3 + 9*c - 17*c**4 + 4*c**3 + 4. Let g(t) = t**4 - t - 1. Let p(r) = -4*g(r) - h(r). Find the second derivative of p(d) wrt d. 156*d**2 Let a(w) be the second derivative of 107*w**4/3 + w**3/3 - 132*w**2 + 227*w. What is the second derivative of a(o) wrt o? 856 Let g be (-71)/(-8) + (-2)/(-16). Find the second derivative of 24*r**2 - 7*r - 4 - g*r**2 + 4 wrt r. 30 Let t(u) be the second derivative of -5*u**8/4 - 11*u**4/6 - 2*u**2 + 21*u. What is the third derivative of t(g) wrt g? -8400*g**3 Let d(h) be the first derivative of h**5/2 + 2*h**4/3 - 8*h - 13. Let x(m) be the first derivative of d(m). What is the third derivative of x(w) wrt w? 60 Let j(w) = -24*w**3 + 5*w**2 + 33*w + 15. Let u(n) = 71*n**3 - 13*n**2 - 100*n - 42. Let d(m) = -11*j(m) - 4*u(m). What is the second derivative of d(f) wrt f? -120*f - 6 Let g(y) = -y - 8. Let a be g(-5). Let v be ((-158)/a)/(16/24). What is the second derivative of 6*p + 3*p + 76*p**2 - v*p**2 wrt p? -6 Let o = 52 - 27. Suppose l + 15 = 4*q, -2*l = 2*l + q - o. What is the third derivative of -2*m**5 + 7*m**2 + 0*m**5 - m**2 + l*m**5 wrt m? 180*m**2 Let s(p) = 54*p**3 + 9*p**2 - 152*p - 8. Let b(c) = -2*c**3 - 2*c**2 + c + 1. Let t(h) = 6*b(h) + s(h). Find the second derivative of t(a) wrt a. 252*a - 6 Find the second derivative of -3*f**5 - 333*f + f**5 + 164*f**4 + 7 + 321*f + 0*f**5 wrt f. -40*f**3 + 1968*f**2 Let a be 4 + 0 + (-20 - -17). Let q be a - -1 - 0/(-4). Differentiate -12 - 3*x**2 - 1 + 2*x**2 + 9*x**q with respect to x. 16*x Let d(k) = -22*k**2 + 7. Let v(l) = 43*l**2 - 66*l**2 - 2 + 9. Let a(f) = -5*d(f) + 4*v(f). Differentiate a(w) wrt w. 36*w What is the first derivative of 124*f**2 - 56*f**2 + 186*f**4 - 68*f**2 + 15 wrt f? 744*f**3 Let n(i) be the third derivative of -35*i**4/24 + 547*i**3/6 + 73*i**2. What is the first derivative of n(w) wrt w? -35 Let l(s) = -596*s**5 + 5*s**4 - 5*s**3 + s**2 - 150*s. Let y(x) = -x**5 + x**4 - x**3 - x. Let g(k) = l(k) - 5*y(k). Find the third derivative of g(n) wrt n. -35460*n**2 Let p(b) = 2*b + 11 - 34 - 6. Let i be p(15). Find the first derivative of -m - 3 + 11 + i + 2 wrt m. -1 Find the third derivative of -91577 - 138*p**4 + 91577 - 66*p**2 wrt p. -3312*p Let z(y) = y**2 - 5*y + 2. Let i be z(5). Suppose i*q + 3*q - 15 = 0. Differentiate -q*k**2 + 5 + 3*k**2 - 4*k**2 wrt k. -8*k Let a(s) be the third derivative of 9*s**7/70 + s**6/120 - 101*s**4/24 - 2*s**2 + 85*s. What is the second derivative of a(t) wrt t? 324*t**2 + 6*t Let k(g) = -g**3 + 11*g**2 - 18*g + 12. Let q be k(9). What is the first derivative of q + 14*y**2 + 0*y**2 - 5 + 5 wrt y? 28*y Let g(m) be the second derivative of m**3/6 - 2*m**2 + 8*m. Let r be g(8). What is the third derivative of c**2 + 8*c**6 - 35*c**r + 5*c**2 + 35*c**4 wrt c? 960*c**3 Let a = 98 + -77. What is the third derivative of -5*f**4 - 7*f**4 - 10*f**4 + 2*f**4 + a*f**2 wrt f? -480*f Suppose -d + 45 = 3*j - 4*d, -3*j = 2*d - 35. Find the third derivative of -2*w**2 - j*w**2 + w**2 - 4*w**6 wrt w. -480*w**3 Suppose 5 = -s, 5 = -0*d - d - 2*s. Find the second derivative of -7*v + 31*v - 8*v**4 - 7*v - d*v wrt v. -96*v**2 Let t be (16*(-3)/(-15))/(18/45). Find the first derivative of -14 - t - 8 + 42*o**2 wrt o. 84*o What is the first derivative of 11 + 2*h**4 + 10 - 83 - 92 - 2*h**3 + 125*h**4 wrt h? 508*h**3 - 6*h**2 Suppose 4 = q + q. Suppose 4*c + 3*o - 26 = 0, c - 11 = -2*c + q*o. What is the first derivative of -c + 8 - 2 - 2 + 5*j wrt j? 5 Let g(z) = z - 11. Let p be g(16). Suppose p*s + 10 = 0, 3*r - 6*r - 5*s + 17 = 0. Find the third derivative of 10*f**2 + r*f**4 - 6*f**3 + 6*f**3 wrt f. 216*f Let u(x) be the second derivative of 3*x**5/20 - x**4 + 35*x**2/2 - 74*x. What is the derivative of u(b) wrt b? 9*b**2 - 24*b Let q(o) be the first derivative of -4*o**7/7 + 47*o**5/5 + 62*o**3/3 - o**2/2 - 179. What is the third derivative of q(x) wrt x? -480*x**3 + 1128*x Let v(n) be the third derivative of -n**7/30 - 43*n**6/120 - 17*n**5/60 + n**4/8 - 4*n**2 - 57. What is the third derivative of v(g) wrt g? -168*g - 258 Let k(a) be the third derivative of 34*a**5/15 + a**4/2 + 5*a**3/2 - a**2 + 140*a. Find the second derivative of k(g) wrt g. 272 Let t(b) = -5*b**3 - 2*b - 1. Let s(c) = -164*c**3 - c**2 + 8*c - 341. Let r(g) = s(g) + 4*t(g). What is the first derivative of r(n) wrt n? -552*n**2 - 2*n Let h(u) be the first derivative of -447*u**5/5 + 446*u**2 + 560. Find the second derivative of h(y) wrt y. -5364*y**2 Suppose 5*f - 7 = 8. Let v(t) be the second derivative of 0 - f*t + 0*t**4 + 0*t**2 + 1/6*t**3 + 1/30*t**6 + 0*t**5. Find the second derivative of v(c) wrt c. 12*c**2 Let q(v) be the first derivative of v**5/5 + 32*v**2 - 110*v + 13. What is the first derivative of q(o) wrt o? 4*o**3 + 64 Let l(t) be the first derivative of 10*t**6 - 19*t**2 + 43. Find the second derivative of l(z) wrt z. 1200*z**3 Let g(v) be the first derivative of -v**6/24 - 23*v**4/24 - 37*v**3/3 + 13. Let u(p) be the third derivative of g(p). Find the first derivative of u(c) wrt c. -30*c Let q(g) = 229*g**3 - 5*g**2 - 3*g + 866. Let k(f) = -115*f**3 + 2*f**2 + 2*f - 433. Let z(y) = 5*k(y) + 2*q(y). Differentiate z(d) wrt d. -351*d**2 + 4 Suppose -14 = -6*p + 4. Find the third derivative of 0*h**2 - 11*h**2 - 12*h**4 - 9*h**2 - p*h**2 wrt h. -288*h Let g = 30 - 28. Let k be g/15 + 28/15. What is the first derivative of -k*s + 9*s - 4*s + 4 - 2*s wrt s? 1 Let z = 667/2 - 330. Let x(s) be the first derivative of 5 - 8*s + z*s**2. What is the derivative of x(b) wrt b? 7 Let o(z) be the first derivative of -103*z**4/4 + 2*z**3 - 3*z + 220. Find the third derivative of o(c) wrt c. -618 Let d be -16*((-2)/(-5) - (-9)/(-10)). What is the second derivative of -12*s**5 - d*s - 8*s + 7*s wrt s? -240*s**3 Suppose -36 = -4*r + 8. What is the second derivative of h**2 + h - h**2 + 4*h + r*h**5 wrt h? 220*h**3 Find the third derivative of 1 - 159*v**3 - 73*v**2 - 1 - 138*v**3 - 164*v**3 wrt v. -2766 Let o(s) = 64*s**4 + 68*s - 4. Let u(x) = -193*x**4 - 204*x + 11. Let y(l) = 8*o(l) + 3*u(l). Find the second derivative of y(w) wrt w. -804*w**2 Let l = 37 + -37. Let d(f) be the second derivative of -1/10*f**6 - f**2 + 0*f**3 + 0*f**4 + l*f**5 + f + 0. What is the derivative of d(v) wrt v? -12*v**3 Let z(p) be the first derivative of -2*p**7/35 + 3*p**3 + 2*p**2 - 3. Let q(d) be the second derivative of z(d). What is the derivative of q(b) wrt b? -48*b**3 Let r(n) be the first derivative of n**3/3 - 79*n**2/2 - 301*n + 83. Find the first derivative of r(v) wrt v. 2*v - 79 Let z be (-2)/(-4) - 27/2. Let r = z - -18. What is the third derivative of -10*i**2 + 43*i**5 - 90*i**5 + 59*i**r wrt i? 720*i**2 Let z(u) be the first derivative of -65*u**3 - 17*u**2/2 - 2*u + 64. Find the second derivative of z(p) wrt p. -390 Find the third derivative of h - 63*h**2 - 6*h**4 - 24*h**4 + 13*h**4 wrt h. -408*h What is the derivative of 132 - 1429*v**4 + 1808*v**4 - 11 - 799*v**4 wrt v? -1680*v**3 Suppose 5 + 3 = -g. Let r = g + 11. Differentiate -4*l**3 + 3*l**r + 6*l**3 + 4 wrt l. 15*l**2 Suppose 3*f + 2*f = 15. Find the first derivative of 18 + 234*l - 234*l + 12*l**f wrt l. 36*l**2 Suppose 13*h - 86 = 798. What is the derivative of -23 + 30*b**2 + h - 10 wrt b? 60*b Let m(d) = 154*d**2 + 2*d + 194. Let x(j) = -155*j**2 - 2*j - 199. Let w(u) = -4*m(u) - 3*x(u). Find the first derivative of w(y) wrt y. -302*y - 2 Suppose -4*u = 5*s + 37, -2*u - 11 = 5*s + 20.
{ "pile_set_name": "DM Mathematics" }
. Calculate y. -12642, 7, 49 Let -2*x**4/5 - 283134*x**3/5 - 61942398*x**2/5 - 4520238986*x/5 - 109973549832/5 = 0. Calculate x. -141348, -73 Let -4*r**4 + 32320*r**3 + 35482888*r**2 - 71062720*r + 35547516 = 0. What is r? -981, 1, 9059 Let -36*s**4/11 + 71462*s**3/11 + 4184198*s**2/11 + 3883996*s/11 - 228704/11 = 0. What is s? -56, -1, 1/18, 2042 Solve -2*q**2 + 9964*q + 180000 = 0 for q. -18, 5000 What is z in 3*z**4 - 39927*z**3/5 + 31872*z**2/5 + 159708*z/5 - 127728/5 = 0? -2, 4/5, 2, 2661 Determine a so that -2*a**4 + 257316*a**3 - 8275925832*a**2 - 33107048516*a - 24830865366 = 0. -3, -1, 64331 Solve -4*w**2 - 49784*w - 10806900 = 0 for w. -12225, -221 Solve -3*s**5 + 6393*s**4 - 3900408*s**3 + 510095652*s**2 - 3895178400*s + 7667175744 = 0. 4, 167, 978 Determine j, given that -3*j**5 + 2661*j**4 - 146853*j**3 + 243243*j**2 + 2219400*j - 5097168 = 0. -4, 3, 57, 828 Factor 2*n**2 - 1727652*n - 8638310. 2*(n - 863831)*(n + 5) Suppose n**5/2 + 724*n**4 - 27795*n**3/2 + 57155*n**2 - 85058*n + 41076 = 0. What is n? -1467, 1, 2, 14 Let -3*c**3/7 + 176067*c**2/7 - 378716976*c + 282000586560 = 0. Calculate c. 785, 28952 Suppose 4*g**5/3 + 5384*g**4/3 + 17831*g**3 + 70723*g**2/3 - 113536*g/3 + 10688 = 0. Calculate g. -1336, -8, -3, 1/2 Solve -k**2 - 1292438*k + 2584880 = 0. -1292440, 2 Let -26*z**5/11 + 7570*z**4/11 - 81920*z**3/11 + 202120*z**2/11 - 145664*z/11 + 17920/11 = 0. Calculate z. 2/13, 1, 2, 8, 280 Suppose 4*f**4/7 + 316*f**3/7 - 155292*f**2/7 - 939852*f/7 - 201960 = 0. Calculate f. -238, -3, 165 Factor -2*b**2 + 7798*b - 7551488. -2*(b - 2107)*(b - 1792) Factor j**2/5 + 3049354*j + 11623199771645. (j + 7623385)**2/5 Suppose 4*t**4 + 4692*t**3 - 3237588*t**2 - 6489236*t - 3246960 = 0. Calculate t. -1660, -1, 489 Let 3*r**2 + 53550*r + 1550427 = 0. What is r? -17821, -29 Factor -3*m**3/5 + 17547912*m**2/5 + 35095833*m/5 + 17547918/5. -3*(m - 5849306)*(m + 1)**2/5 Suppose -x**5/7 + 62*x**4 + 6750*x**3 - 685820*x**2/7 - 47249*x/7 + 685386/7 = 0. Calculate x. -101, -1, 1, 13, 522 Factor -2*v**2 + 291708*v + 22765392. -2*(v - 145932)*(v + 78) Factor -8*g**2 - 14470676*g + 7235340. -4*(g + 1808835)*(2*g - 1) Suppose -5*i**2 - 3073155*i + 49171760 = 0. What is i? -614647, 16 Factor -o**3/5 + 4858*o**2 - 146106748*o/5 - 16973323656/5. -(o - 12202)**2*(o + 114)/5 Factor -2*t**2 + 31880*t - 4549248. -2*(t - 15796)*(t - 144) Factor z**4/6 - 1813301*z**3/3 + 39892138*z**2 - 2632870460*z/3 + 19307677664/3. (z - 3626536)*(z - 22)**3/6 Find b such that 154*b**4/5 + 527762*b**3/5 + 13657338*b**2/5 + 88868806*b/5 + 2299076/5 = 0. -3401, -13, -2/77 Let s**4/3 + 2066*s**3 - 24803*s**2/3 + 10336*s - 12404/3 = 0. Calculate s. -6202, 1, 2 Factor 3*g**3/2 + 406035*g**2/2 + 21101652*g + 548537496. 3*(g + 52)**2*(g + 135241)/2 What is o in -2*o**2 - 341994*o + 341996 = 0? -170998, 1 Factor -p**2/6 + 462*p - 1859987/6. -(p - 1633)*(p - 1139)/6 Suppose 60*b**5 - 212499*b**4 - 74631*b**3 + 881874*b**2 + 297564*b - 127512 = 0. What is b? -2, -3/5, 1/4, 2, 3542 Factor -4*f**2 - 69452*f + 277872. -4*(f - 4)*(f + 17367) Find x, given that 1228*x**5/3 - 71824*x**4/3 + 252288*x**3 - 795456*x**2 + 331200*x = 0. 0, 150/307, 6, 46 Find n such that -5*n**3 + 10925*n**2 + 1296190*n + 5009640 = 0. -109, -4, 2298 Factor -d**2/11 - 8862*d/11 + 51684264/11. -(d - 4014)*(d + 12876)/11 Suppose -21*r**5 - 4850247*r**4/2 + 4677084*r**3 - 4157427*r**2/2 - 173226*r = 0. Calculate r. -115484, -1/14, 0, 1 Factor -3*j**3 + 4212*j**2 - 244620*j + 3628800. -3*(j - 1344)*(j - 30)**2 Factor -4*t**4/5 - 42465444*t**3/5 + 50958552*t**2 - 509585584*t/5 + 339723744/5. -4*(t - 2)**3*(t + 10616367)/5 Let -10*w**3/9 + 87778*w**2/9 - 2954756*w/9 - 6260704/9 = 0. Calculate w. -2, 179/5, 8744 Solve -3*p**2 + 4652637*p + 51179370 = 0 for p. -11, 1550890 Suppose 2*x**3/15 - 464*x**2/15 + 20294*x/15 + 1384 = 0. What is x? -1, 60, 173 Factor -j**2/8 + 58125339*j/4 - 3378555033864921/8. -(j - 58125339)**2/8 Determine x, given that -2*x**3/3 + 80*x**2 + 26498*x/3 + 178880 = 0. -43, -32, 195 Find w such that -2*w**4/15 - 4882*w**3 + 1736668*w**2/5 + 21718712*w/15 + 1467440 = 0. -36686, -2, 75 Factor -2*q**2/9 + 1066601584*q/9 - 142204867373913632/9. -2*(q - 266650396)**2/9 Solve 3*m**2/4 - 34059*m/2 + 69636627/4 = 0. 1073, 21633 Factor -2*l**2 - 23105614*l. -2*l*(l + 11552807) Find d such that -6*d**3/23 + 1631218*d**2/23 + 224134320*d/23 - 6528168 = 0. -138, 2/3, 272007 Factor -2*w**3 + 676650*w**2 - 57220736454*w - 1889021246706. -2*(w - 169179)**2*(w + 33) Let -i**2/5 + 2798*i/5 - 90825 = 0. What is i? 173, 2625 Let -18*z**5 - 6798*z**4 - 824648*z**3 - 29422776*z**2 + 329065376*z - 298811136 = 0. Calculate z. -156, -346/3, 1, 8 What is s in -26*s**2 - 2510*s + 71484 = 0? -1554/13, 23 Factor -4*g**4 - 860416*g**3 - 46263707316*g**2 + 647860554936*g. -4*g*(g - 14)*(g + 107559)**2 Find s such that -30412052*s**3/3 - 121648216*s**2/3 - 121648240*s/3 - 32/3 = 0. -2, -2/7603013 Factor 2*x**3 + 69736*x**2 + 487934*x - 4183320. 2*(x - 5)*(x + 12)*(x + 34861) Determine l, given that 2*l**4/11 - 518660*l**3/11 - 518662*l**2/11 = 0. -1, 0, 259331 Determine z so that -3*z**4 - 2973*z**3 + 4497078*z**2 + 4500048*z = 0. -1816, -1, 0, 826 Factor 110224*o**3 + 38455560*o**2 - 4402623*o + 125989. (o + 349)*(332*o - 19)**2 Factor 4*f**2/5 - 214279704*f/5 + 2869736971645476/5. 4*(f - 26784963)**2/5 Suppose b**3/4 + 15863*b**2/4 - 270217*b/2 + 254352 = 0. Calculate b. -15897, 2, 32 Factor 2*w**2/9 + 102189460*w/9 + 1305335716886450/9. 2*(w + 25547365)**2/9 Factor -u**4 + 140217*u**3 - 280431*u**2 + 140215*u. -u*(u - 140215)*(u - 1)**2 Determine k so that -176*k**4/3 + 33437*k**3/2 + 103237*k**2/6 + 429*k = 0. -1, -9/352, 0, 286 Let -48*q**4 + 282648*q**3 + 12671829*q**2 + 6282915*q + 783156 = 0. Calculate q. -44, -1/4, 5933 Find m, given that -308*m**2/13 - 321770*m/13 - 22982/13 = 0. -11491/11, -1/14 Factor 88017*o**4/4 - 34854735*o**3/4 + 1150206453*o**2 - 50609110068*o + 1724976. 3*(o - 132)**3*(29339*o - 1)/4 Solve -2*p**4/11 + 26756*p**3/11 - 89405138*p**2/11 - 537153456*p/11 - 806091552/11 = 0 for p. -3, 6692 Factor -f**2/2 + 1947738*f - 11686419/2. -(f - 3895473)*(f - 3)/2 Let -3*i**4 - 17459328*i**3 - 25402344517632*i**2 = 0. Calculate i. -2909888, 0 Let -3*s**5/2 - 3279*s**4 - 32634*s**3 + 13287*s**2 + 1004871*s/2 - 479808 = 0. Calculate s. -2176, -7, 1, 3 Suppose -3*u**4 - 2715*u**3 + 303285*u**2 - 4896165*u - 5202162 = 0. What is u? -1007, -1, 21, 82 Find y, given that -2*y**3 - 21608510*y**2 - 216084950*y - 540212250 = 0. -10804245, -5 Factor 5*t**3 - 3270*t**2 + 529200*t. 5*t*(t - 360)*(t - 294) Find o, given that -2*o**5/3 - 51830*o**4 - 3023463856*o**3/3 - 51362662504*o**2/3 - 56391353088*o - 157082691584/3 = 0. -38864, -13, -2 Factor -3*o**2 - 445380*o + 84283983. -3*(o - 189)*(o + 148649) Let 4*s**3/5 - 12644*s**2/5 + 94508*s + 6733188/5 = 0. Calculate s. -11, 49, 3123 Solve -5*j**5 - 1535495*j**4 - 117926390360*j**3 - 6010326427900*j**2 - 5656554934240*j + 11784809288000 = 0. -153524, -50, -2, 1 Determine n, given that -n**3/2 + 24031*n**2 - 192224*n + 384432 = 0. 4, 48054 Suppose -170*l**5 + 331335*l**4 - 1662145*l**3 + 48600*l**2 = 0. What is l? 0, 1/34, 5, 1944 Solve 2*g**3/3 - 6722*g**2/3 - 148738*g/3 - 128554 = 0. -19, -3, 3383 Determine t, given that 2*t**2/9 + 9022956*t = 0. -40603302, 0 Find k, given that -20*k**5 - 27505*k**4 - 9690725*k**3 - 160955175*k**2 - 645352155*k - 746886420 = 0. -679, -12, -3, -9/4 Suppose -2*h**2/23 + 209548*h/23 + 30636640/23 = 0. What is h? -146, 104920 Solve 2*z**4/19 + 38866*z**3/19 + 188956666*z**2/19 + 1320093830*z/19 - 3396325284/19 = 0 for z. -9713, -9, 2 Solve -k**3 - 61889179*k**2 - 957567526489735*k + 2872703136471843 = 0. -30944591, 3 Find h, given that 240*h**5/11 - 6242*h**4/11 - 372188*h**3/11 + 281502*h**2/11 + 6012880*h - 551200/11 = 0. -20, 1/120, 13, 53 Solve 45*q**5 - 21805*q**4 + 33815*q**3 - 2395*q**2 - 9660*q = 0. -4/9, 0, 1, 483 Solve 3*z**2 + 38946*z + 3173400 = 0 for z. -12900, -82 Find t such that -2*t**5 - 1382*t**4 + 21092*t**3 - 62248*t**2 - 84720*t = 0. -706, -1, 0, 6, 10 What is a in a**3 + 79138*a**2 + 1547103740*a - 738236829064 = 0? -39802, 466 Find q such that 2*q**3/7 + 1052244*q**2 - 14731422*q/7 + 7365712/7 = 0. -3682856, 1 Sol
{ "pile_set_name": "DM Mathematics" }
out replacement from {z: 1, w: 2, q: 1, v: 1, o: 2}. What is prob of picking 1 o, 1 q, and 1 w? 4/35 Three letters picked without replacement from {a: 1, y: 2, d: 1, l: 11}. What is prob of picking 2 l and 1 a? 11/91 Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {n: 1, b: 2, p: 1, c: 2}. 1/15 Four letters picked without replacement from lkllkrllllsllkrrllls. Give prob of picking 4 l. 33/323 Two letters picked without replacement from xxjjhjhhdbxhjbjjjjjx. Give prob of picking 1 d and 1 x. 2/95 Calculate prob of picking 4 j when four letters picked without replacement from jggoff. 0 Calculate prob of picking 2 o and 1 d when three letters picked without replacement from zdozdzwoz. 1/42 What is prob of picking 2 d when two letters picked without replacement from {d: 2, l: 8}? 1/45 Four letters picked without replacement from {f: 1, l: 6, o: 7}. What is prob of picking 4 l? 15/1001 Calculate prob of picking 3 h when three letters picked without replacement from hkhrmhkrihk. 4/165 Two letters picked without replacement from fqqqffffffffffff. What is prob of picking 1 f and 1 q? 13/40 Three letters picked without replacement from hoho. What is prob of picking 2 o and 1 h? 1/2 Calculate prob of picking 2 q when two letters picked without replacement from qqqqq. 1 Four letters picked without replacement from nnnnnn. What is prob of picking 4 n? 1 What is prob of picking 4 w when four letters picked without replacement from wwwwwwwwdwwwdwwwwwdd? 364/969 Four letters picked without replacement from {m: 7, d: 2, o: 6}. What is prob of picking 2 d and 2 o? 1/91 Four letters picked without replacement from {y: 2, j: 2, r: 4, n: 1, x: 3, f: 2}. Give prob of picking 2 j, 1 y, and 1 n. 2/1001 Four letters picked without replacement from {o: 5, x: 4, v: 1}. What is prob of picking 1 x and 3 o? 4/21 Two letters picked without replacement from {w: 2, r: 3}. What is prob of picking 2 w? 1/10 What is prob of picking 2 u and 1 l when three letters picked without replacement from gumurrlm? 1/56 What is prob of picking 1 h and 1 c when two letters picked without replacement from {h: 1, c: 2, x: 1, z: 1}? 1/5 Two letters picked without replacement from {e: 1, d: 1, j: 1, u: 1, a: 1}. What is prob of picking 1 e and 1 d? 1/10 Two letters picked without replacement from {e: 1, w: 3, q: 5}. What is prob of picking 1 w and 1 e? 1/12 Three letters picked without replacement from llnpttpztiziptnt. Give prob of picking 2 p and 1 z. 3/280 Two letters picked without replacement from qrhxr. What is prob of picking 1 r and 1 h? 1/5 Two letters picked without replacement from oklloobbno. What is prob of picking 1 o and 1 b? 8/45 Two letters picked without replacement from {f: 4, b: 1, o: 6, y: 3}. Give prob of picking 2 o. 15/91 Three letters picked without replacement from gxgxggx. What is prob of picking 1 g and 2 x? 12/35 Three letters picked without replacement from dtdt. What is prob of picking 3 d? 0 Calculate prob of picking 1 t, 1 s, 1 x, and 1 h when four letters picked without replacement from txshsthsth. 9/70 Two letters picked without replacement from {n: 2, e: 2, f: 2}. Give prob of picking 1 e and 1 n. 4/15 Two letters picked without replacement from {q: 5, b: 2, m: 9, o: 3}. What is prob of picking 1 b and 1 q? 10/171 Two letters picked without replacement from egybe. What is prob of picking 2 g? 0 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rrrrrrrrrqrr. 1/6 Two letters picked without replacement from yyff. Give prob of picking 2 f. 1/6 Three letters picked without replacement from rurxuugruuyuy. Give prob of picking 1 x, 1 g, and 1 y. 1/143 What is prob of picking 1 v and 2 s when three letters picked without replacement from {s: 2, y: 3, i: 1, c: 3, v: 2, m: 1}? 1/110 Two letters picked without replacement from wwwwwwwddw. What is prob of picking 1 w and 1 d? 16/45 Three letters picked without replacement from {j: 1, h: 3}. Give prob of picking 3 h. 1/4 What is prob of picking 1 s and 1 u when two letters picked without replacement from ussssuuuuusssssu? 21/40 Two letters picked without replacement from ooommm. Give prob of picking 1 o and 1 m. 3/5 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from ozinw. 1/10 What is prob of picking 1 x, 1 y, and 1 n when three letters picked without replacement from yxyygnny? 1/7 What is prob of picking 1 r and 1 y when two letters picked without replacement from {y: 1, r: 1, f: 8, t: 1, p: 1, i: 2}? 1/91 Three letters picked without replacement from {u: 3, x: 1, n: 1, g: 2}. Give prob of picking 2 g and 1 u. 3/35 What is prob of picking 1 n and 1 k when two letters picked without replacement from {t: 5, k: 2, n: 5}? 5/33 Two letters picked without replacement from fyyffyyyyfy. Give prob of picking 2 y. 21/55 Calculate prob of picking 2 h, 1 i, and 1 g when four letters picked without replacement from {i: 1, n: 3, h: 1, z: 1, g: 1}. 0 Three letters picked without replacement from {t: 3, s: 12}. What is prob of picking 3 t? 1/455 Three letters picked without replacement from {g: 1, m: 2, e: 4, z: 7}. Give prob of picking 3 e. 1/91 Three letters picked without replacement from {l: 2, n: 2, f: 2, j: 8, c: 5}. What is prob of picking 2 f and 1 c? 5/969 Two letters picked without replacement from {w: 3, f: 2, r: 1, e: 1}. What is prob of picking 1 f and 1 w? 2/7 Two letters picked without replacement from qggggggggjggjg. Give prob of picking 2 q. 0 Calculate prob of picking 1 h, 1 b, and 2 w when four letters picked without replacement from saabawbbgsswhw. 9/1001 Two letters picked without replacement from {a: 1, j: 1, d: 1, r: 2, q: 2, f: 2}. What is prob of picking 1 j and 1 d? 1/36 What is prob of picking 4 v when four letters picked without replacement from xvxvvqxxxqqvixv? 1/273 What is prob of picking 2 u when two letters picked without replacement from uudkkdud? 3/28 Two letters picked without replacement from {b: 2, v: 3, r: 8, m: 5, k: 1}. Give prob of picking 2 m. 10/171 Four letters picked without replacement from mjhhmdsmdnmhjds. Give prob of picking 2 m, 1 j, and 1 n. 4/455 Calculate prob of picking 1 n, 1 p, and 1 m when three letters picked without replacement from dppmmmmfdimnfnmdmfn. 14/323 Three letters picked without replacement from aclaalaymmaalamcaa. What is prob of picking 2 a and 1 c? 3/34 What is prob of picking 1 z and 2 f when three letters picked without replacement from {z: 8, f: 5}? 40/143 Calculate prob of picking 3 x when three letters picked without replacement from {x: 6, z: 10, s: 1}. 1/34 Two letters picked without replacement from {l: 2, w: 1, y: 1, z: 8, o: 6}. Give prob of picking 1 w and 1 y. 1/153 Calculate prob of picking 2 h when two letters picked without replacement from kkhhkk. 1/15 Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 14, e: 1}. 2/15 Four letters picked without replacement from ccczcczccc. Give prob of picking 4 c. 1/3 Two letters picked without replacement from ixiiiiixixiixiiixx. What is prob of picking 2 i? 22/51 Calculate prob of picking 1 j, 1 o, and 2 h when four letters picked without replacement from oahjo. 0 Three letters picked without replacement from {u: 1, j: 1, f: 1, z: 1, x: 2, t: 1}. Give prob of picking 1 u and 2 x. 1/35 Four letters picked without replacement from dhhhadahhbhbdhhad. Give prob of picking 4 h. 1/34 Four letters picked without replacement from kkkkkkkwkwwkkk. What is prob of picking 2 w and 2 k? 15/91 What is prob of picking 3 i when three letters picked without replacement from {k: 3, i: 5, s: 1, j: 2, a: 1}? 1/22 Two letters picked without replacement from {h: 6, t: 1, p: 2, f: 2, m: 3, a: 4}. What is prob of picking 2 f? 1/153 Calculate prob of picking 2 l and 1 y when three letters picked without replacement from {p: 5, y: 2, l: 3}. 1/20 What is prob of picking 2 j and 1 u when three letters picked without replacement from {v: 4, s: 2, r: 2, u: 1, j: 6}? 3/91 What is prob of picking 2 z when two letters picked without replacement from zzzzqzzzzzzz? 5/6 What is prob of picking 2 b and 1 h when three letters picked without replacement from {h: 3, x: 7, b: 4}? 9/182 Three let
{ "pile_set_name": "DM Mathematics" }
ctors of (-4)/(-14) + 10/(-35) - -8. 2 Suppose 0*j + 4*j = -28. What are the prime factors of 172*((-21)/12)/j? 43 Let i = 3 - -29. What are the prime factors of i? 2 Let g be 4/(-4) - (-4 - -1). Suppose 50 = 3*b + g*b. What are the prime factors of b? 2, 5 Suppose -3*z + 11 = -1. Suppose 3 + 121 = z*j. What are the prime factors of j? 31 Suppose 6*m - 3*m = 75. Suppose -3*u + 0*u = 18. What are the prime factors of (-4)/u + m/3? 3 Suppose -3*i = -0*i - 15. Suppose 0 = -i*u - 5, -5*h + 40 + 24 = u. List the prime factors of h. 13 Suppose 4*d = -0*t - 5*t + 6, -5*t + 2*d = -12. Suppose 20 = t*a - 2*n, -a - 5*n + 10 = -0*n. List the prime factors of a. 2, 5 Suppose -3*p - c = -3*c - 1, 0 = -4*p - 3*c + 24. Suppose p*w = -5*r + 4 + 11, 4*r - 2*w - 34 = 0. What are the prime factors of r? 2, 3 Let j(b) = -b**2 + 7*b + 11. Suppose 3*g + 4 = -2*p, 0 = 2*p - 10*g + 5*g - 12. Suppose 14 = 2*m + 2*o, -2 + p = o. List the prime factors of j(m). 3 Suppose 6*f - 20 = f. Suppose 2*n = -2*b - 4, -3*b - 2*b - 10 = f*n. Let d(s) = -s**3 + s + 5. What are the prime factors of d(n)? 5 Let t(w) be the first derivative of -w**4/4 + 5*w**3/3 + 9*w**2/2 - 7*w - 3. Let a be t(6). Suppose -a = 5*j - 51. What are the prime factors of j? 2 Suppose 5*t - d = -0*t - 15, d = -4*t - 3. Suppose 0*x = 3*x. What are the prime factors of 8 + x + t - 0? 2, 3 List the prime factors of (-7 - -1)/(6/(-9)). 3 Suppose 3*p - 28 = 4*l, 2*p + 6 - 22 = 2*l. Suppose -x = -2*x + p. What are the prime factors of x? 2 Let v be (-18)/(-5) - 15/25. Let g = -3 + v. Suppose g = -5*y + 11 - 1. List the prime factors of y. 2 Let c = 35 - 16. Suppose -v + c = 2. List the prime factors of v. 17 Let k = -8 - -10. Suppose 5*z - 75 = -k*a, -3*a = -0*z + 4*z - 53. Suppose 3*g + z = 4*g. What are the prime factors of g? 17 Let l(z) = 62*z**3 + 4*z**2 + 7*z. Let j(s) = -93*s**3 - 6*s**2 - 11*s. Let g(d) = -5*j(d) - 8*l(d). What are the prime factors of g(-1)? 2, 3, 5 Let p(b) = b - 3. Let f be p(5). Let v be (3 + -1)*6/f. Suppose -1 = -o + v. List the prime factors of o. 7 Let i(o) be the second derivative of 5*o**3/3 - 5*o. What are the prime factors of i(2)? 2, 5 Let k(u) = u**2 - 2*u + 14. What are the prime factors of k(-6)? 2, 31 Let d = -10 - -13. Let f(k) = 7*k**2 - 2*k + 3. Let o(x) = -11*x**2 + 3*x - 4. Let h(y) = 8*f(y) + 5*o(y). List the prime factors of h(d). 2, 5 Let b(w) = -19*w - 9. Let j be b(-3). Suppose 124 + 59 = 5*d - g, d = 4*g + j. What are the prime factors of d? 2, 3 Let i(s) = 19*s**3 + 2*s - 2. List the prime factors of i(1). 19 List the prime factors of 7/(-2 + 122/60). 2, 3, 5, 7 Let i = -5 - 0. Let u = i + 9. Let a = 3 + u. List the prime factors of a. 7 Suppose 14 = -5*o + 34. List the prime factors of o. 2 Suppose 4*c - 5 = 51. Suppose 3*y - 2*y = c. List the prime factors of y/(-77) - (-312)/22. 2, 7 Let v(w) = -4*w - 20. Let p be v(-14). Suppose 4*x + u = 48, p = 3*x + 7*u - 2*u. List the prime factors of x. 2, 3 Let n = -25 + 42. Let g = n + -9. What are the prime factors of g? 2 Let v = 76 + -49. List the prime factors of v. 3 Suppose -45 + 10 = q. What are the prime factors of (-1 + (-4)/(-28))*q? 2, 3, 5 Let v(r) = r**3 + r**2 + r - 2. Let d(i) = -i**2 - 4*i + 2. Let c be d(-4). Let h be v(c). Suppose -3 = -p + h. List the prime factors of p. 3, 5 Suppose -4*g + 211 = 43. List the prime factors of g. 2, 3, 7 Let l = 175 - 79. List the prime factors of l. 2, 3 Suppose 0 = -5*o + o - 416. List the prime factors of (-3)/(-2)*o/(-12). 13 Let a = -151 + 440. List the prime factors of a. 17 Suppose -4*s + 170 = -2*j, 0 = 3*s - 5*s - 4*j + 110. What are the prime factors of s? 3, 5 Let g(k) = 2*k + 3. Let q be 2 + 24/3*1. List the prime factors of g(q). 23 Let q = -12 - -8. What are the prime factors of q/10 - (-384)/10? 2, 19 Suppose 114 + 58 = 5*i + 2*g, 3*i - 2*g = 100. What are the prime factors of i? 2, 17 Suppose 4*p - h = 288, 0*p + 2*p - 2*h - 144 = 0. What are the prime factors of p? 2, 3 Let q(t) = t**2 + t + 5. Let i be q(0). Suppose i*k - l + 1 + 1 = 0, 2*k - 5*l = 13. What are the prime factors of k/(-2)*(-24)/(-3)? 2 Let u(k) = -k**3 - 3*k**2 - 4*k - 3. Let a be u(-2). Let i = 5 + a. What are the prime factors of i? 2, 3 Let m(d) = 2*d**2 - 2*d - 7. Let u be m(3). Suppose -126 = -5*r - 4*p, 0 = u*r - 3*p - p - 134. What are the prime factors of r? 2, 13 Suppose 4*g - 6 = 5*x, -g + 28 = 4*x + 4*g. List the prime factors of -12*((-2)/(-2) - x). 2, 3 Suppose 16 = 2*v - 4*v - 4*k, 3*k + 9 = -3*v. Suppose -h - 4 = -v*h. Suppose -h*n + 36 = -0*n. What are the prime factors of n? 3 Suppose -u + 2*z = 4*z - 4, -2*u - z - 1 = 0. Let f = u - -10. What are the prime factors of f? 2 Let u = 151 - 107. What are the prime factors of u? 2, 11 Suppose 5*f = f + 4*m - 92, 15 = -5*m. Let s = 36 + f. What are the prime factors of s? 2, 5 Let v be (-35)/14*6/(-5). What are the prime factors of (-3)/(-1) - (-3)/v? 2 Suppose -31 - 35 = -2*j. List the prime factors of j. 3, 11 Let o = 62 + -12. List the prime factors of o. 2, 5 List the prime factors of (-469)/(-14) + (-9)/6. 2 Let t(k) be the third derivative of k**6/120 + 3*k**5/20 - k**4/24 - k**3 - 2*k**2. List the prime factors of t(-9). 3 Let v be (-1)/1*(-18 - -3). Let c be 2/(-5) + (-38)/5. Let n = c + v. What are the prime factors of n? 7 Suppose 5*d + 3*c - 102 = c, -54 = -3*d - 3*c. List the prime factors of d. 2, 11 Let a = -3 + 1. Let x be a*1*(-3)/6. Suppose 5*d - 49 = x. What are the prime factors of d? 2, 5 Let n = 66 - 44. Suppose -3*g + n = 7. What are the prime factors of g? 5 Suppose -3*b = -2*j - 106, -4*j + 11 = -3*b + 121. List the prime factors of b. 2, 17 Let b = -6 + 10. Suppose -b*w + 6 = -22. List the prime factors of w. 7 Let v(p) = -p**3 + 7*p**2 - 4*p - 10. List the prime factors of v(6). 2 Let h(t) be the second derivative of -t**5/20 - t**3/6 + t**2/2 - 2*t. List the prime factors of h(-2). 11 Suppose 0 = -3*m - 0*m + 24. List the prime factors of m. 2 Suppose 4*g = y - 2*y + 11, 4*g - 2 = 2*y. List the prime factors of g. 2 List the prime factors of (1/(-3))/(1/(-105)). 5, 7 Suppose -194 = -0*a - 2*a. List the prime factors of a. 97 Let z(p) be the third derivative of 0 - 1/24*p**4 + 0*p + 1/6*p**3 - p**2. List the prime factors of z(-2). 3 Let a(l) = 20*l + 7*l - 8*l - 5. List the prime factors of a(3). 2, 13 Suppose 3*c = -4*o + 7, 4*c - 30 = 2*o + 3*o. Suppose 8 = 2*h + 2*h. Suppose 4*x + 4 = h*f - 0, -c*x + 21 = 4*f. List the prime factors of f. 2 Let x be 0 - (-1 - -1)/2. Suppose x = 5*b - 4*b + 43. Let v = -30 - b. What are the prime factors of v? 13 Suppose -5*j = -2*j - 96. Suppose 0 = -d - 3*d + j. Suppose -d*i = -3*i - 50. List the prime factors of i. 2, 5 Let n be (-8 + 0/(-1))*-1. Suppose -2 = -2*r + n. Suppose 5*u - 15 = r*f, -u - 3*u + 3*f + 16 = 0. What are the prime factors of u? 7 Suppose 5*d - 3*l = 53, -5*d = -4*d + 5*l - 33. What are the prime factors of (d - -1) + (-4)/2? 2, 3 Let t be 14/(-2) + 1 + -1. Let d be (-1)/2*(5 + t). Suppose 0 = 5*f - 21 + d. List the prime factors of f. 2 Let w be ((-4)/(-10))/((-1)/(-5)). Suppose w*i = 14 - 6. What are the prime factors of i? 2 Suppose -8 - 7 = -3*m. Let a be -15*(51/15 + -3). Let u = m - a. List the prime factors of u. 11 Let r(q) = -24*q**2 - 9*q. Let a be r(-7). Let b be (-8)/36 - a/27. Let d = b + -25. What are the prime factors of d? 2 Let d(y) = y**3 + 1. Let l(i) = -5*i**3 + 8*i**2 - 3*i + 2. Let o(n) = 4*d(n) + l(n). What are the prime factors of o(7)? 2, 17 Let y(b) = 4*b**3 - 1. Let p be y(1). Let m(o) = o - 2. Let d be m(p). Let a(z) = 5*z**2 + z. List the prime factors of a(d). 2, 3 Let h be 51 + 2/(0 - 2). Let c = h + -16. What are the prime factors of c? 2, 17 Let c(q) = 46*q - 22. What are the prime factors of c(4)? 2, 3 Let k = 193 - 135. List the prime factors of k. 2, 29 Let p(m) = -4*m**3 - 2*m**2 - 3*m + 8. Suppose 0 = 4*z - 1 - 3. Let w(t) = -t**3 - t**2 - t - 1. Let n(v) = z*p(v) - 3*w(v). What are the prime factors of n(0)? 11 Let g(b) = 4*b**3 + 10*b**2 + 16*b + 6. Let d(r) = 11*r**3 + 30*r**2 + 47*r + 19. Let u(v) = 3*d(v) - 8*g(v). List the prime factors of u(-8). 3, 11 Let u(h) = -1 - 12*h + 6*h + 6*h - 4*h**2. Let f be u(-1). Let a = f + 8. List the prime factors of a. 3 Suppose 0 = y - 0*p - 5*p + 14
{ "pile_set_name": "DM Mathematics" }
d**2 + 4*d - 32. Let z be y(4). Which is smaller: z or -9/8? -9/8 Let h(x) = 3*x + x - x - 6. Let d be h(-4). Let z = 19 + d. Which is bigger: z or 0? z Let t = 0 - -12. Let n be (t/(-10))/((-2)/5). Let g = n - -14. Is g less than or equal to 17? True Let c(a) = -2*a**2 - a - 1. Let f = -26 + 24. Let s be c(f). Let v = s - 7. Is v at most as big as -14? True Let l = -348.2 + 348. Is 23 at most l? False Let z = -6.86 + 7. Let n = z - 17.14. Let v = 19 + n. Which is greater: v or 3? 3 Let m be (63/420)/((-43)/4 - 0). Which is greater: m or 1? 1 Let p = 6 - 2. Suppose 5*j - 2*j - 9 = 0. Suppose 0 = 3*i, -1 - 5 = -2*d + j*i. Is p bigger than d? True Let u be (-91)/(-182) - (-3)/(-2). Which is bigger: u or -2/1001? -2/1001 Suppose 5*y - f + 559 = -1624, 0 = -2*f - 4. Are -437 and y unequal? False Let w be -4 + 50*4/(-8). Let n = w - -22. Is n at least as big as -7? True Suppose 4*y - 24 = y. Let v(l) = 3*l**2 + 47*l + 167. Let x be v(-5). Which is bigger: x or y? y Let k = -90 + 86. Which is bigger: -5 or k? k Let j(w) = 37*w**2 - 3*w + 2. Let h be j(1). Let c = 112/3 - h. Which is smaller: 1/2 or c? 1/2 Let q(t) = -t**2 - 5*t + 1. Let w be q(-6). Let u be (-2 - (1 + w)) + 1. Let y be (-20)/14 - (u + -4). Are y and 0 unequal? True Let k(b) = -6*b - 4. Let u be k(-3). Let i be u/(0 - 0 - -2). Let h be (-2)/i - (-160)/70. Which is bigger: h or -1? h Let n be (-3)/2*36/(-6) + -4. Which is bigger: 18 or n? 18 Suppose -t = -1, -4*s + 12 = 2*t - 178. Is s at least as big as 47? True Let t = 212 + -220. Which is greater: t or 2/11? 2/11 Let g(a) = -5*a - 2. Let t be g(1). Let j(y) = -y**3 - 5*y**2 + 4*y - 17. Let h be j(t). Is 2/5 bigger than h? False Let x = -0.3 + 0.27. Let t = x - -14.03. Let v = -16 + t. Which is greater: v or 3? 3 Let x be 6/(-4)*(17 - -5 - 4). Is x at most -29? False Let k = 80.6 - 81. Is k equal to 2.4? False Let j be 3/12 - 10/(-24). Let g(y) = -y + 2. Let k be g(2). Is k >= j? False Let q = 9979/21 + -475. Let j be (2 - ((-14)/(-6) + (-8)/24))/1. Which is smaller: q or j? j Let y = 375.3 + -372. Let w = 2 + -5. Let k = w + y. Which is smaller: 3 or k? k Suppose -7*c = -c - 12. Let w = -30 + 42. Suppose -3*m + w = 0, 0*p - 18 = -c*p - 3*m. Which is greater: 0 or p? p Suppose 4*w - 5 = 27. Suppose 0 = -4*v + 26 + 6. Is v <= w? True Let h(k) = 12*k**2 + 36*k + 6. Let y be h(-3). Do 11 and y have the same value? False Let i = -8 - -9. Suppose 7 = -4*z - i. Is z < -14/5? False Let b(h) = 3*h**2 - 3*h - 2. Let x be b(-1). Let f be ((-2)/x)/((-15)/6 + 2). Which is bigger: -2/51 or f? f Let s = 0.175 - -7.725. Let c = 8 - s. Let i(q) = -q**2 - q + 1. Let k be i(-1). Is k at least c? True Let i(y) = 5 + 3*y - 60*y**2 + 62*y**2 - 2. Let s be i(-3). Suppose s - 14 = -2*x. Does -2/23 = x? False Let w = -107 + 198. Let k be (0 + 8)*w/13. Is 57 at most as big as k? False Let z be (4 - 5)/((-1)/(-1 - -2)). Which is greater: z or -8/47? z Let o be -33*(1 + 16/(-12)). Is o at least 49/4? False Suppose -2*d + 6 = -t, 2*d = -4*t - 2*d. Let o be 0/(1*t) - 2. Suppose 0 = 3*a + 5*v, -2*a + 0*v - 4*v = 0. Is o greater than or equal to a? False Let j = -36 - -34. Let i be ((-115)/25 + 5)*(-5)/j. Is i less than 7/5? True Let j = -1/51 - -1004/51. Which is smaller: j or 20? j Suppose 0 = 2*y - 8*y. Suppose y = -0*i + i + 10. Let c be 3 + i/12*4. Is c bigger than 16? False Let w = -0.42 - 29.58. Let m = w - -29.96. Which is greater: m or 0.2? 0.2 Suppose 0 = -4*v + 89 - 93. Let q be (v + 210/9)*-3. Is q >= -67? True Let t = 3 - -7. Suppose -3*b + 3*a - 18 = 0, 5*a - 3*a - t = 0. Is b bigger than -12? True Suppose 4*m = 3*l + 64, 30*m - 32*m + 5*l + 18 = 0. Suppose 88 = 4*g + 4*w, 3*w = -2*g + 11 + 36. Is m bigger than g? False Let g(l) = 3*l**3 - l**2 - 5*l + 8. Let w be g(2). Is 56/3 greater than or equal to w? True Suppose -w - 19 = -22. Let m be w + 2*-16 + -1. Is -30 less than or equal to m? True Let d be (-198)/4*1 + 9/(-18). Which is greater: d or -48? -48 Let c(r) = 104*r - 727. Let s be c(7). Let w be ((-2)/74)/((-21)/(-723)). Let p = -8/37 - w. Is s < p? False Let x(z) = 3*z**3 - z**2 - 2*z + 30. Let o be x(-4). Is -170 <= o? True Suppose -r - 79 = 46. Which is smaller: r or -126? -126 Suppose 3*c + 1 = 5*a + 6, 0 = -2*c + 3*a + 4. Suppose -m = -c*m + 12. Is m > 4? False Let j(r) = 2*r**2 + 10*r + 5. Let f be j(-5). Suppose -9 = f*b - 24. Suppose -3*h = -10 + 1. Is h smaller than b? False Let w(b) = 2*b**2 + 15*b - 11. Let x be w(7). Are 188 and x equal? False Let c = -80.49 - -48.382. Let a = c - -0.108. Which is bigger: a or -2/9? -2/9 Let a be 4/2 - (15/(-5) - -5). Suppose a = -12*p + 9*p + 12. Is 4 < p? False Let s = -21 - -16. Let k be 15*4/40*6. Let o = k - 12. Is o equal to s? False Let n = -59/15 + 4. Suppose 42*f - 88 = 38*f. Suppose -5*d + 27 = f. Which is bigger: d or n? d Suppose -51 = 11*w + 367. Is w greater than -33? False Suppose 3*b - 3*j - 6 = 0, j + 3*j - 16 = -2*b. Suppose -b*u = -3*o + 31, 0 = -0*o + 5*o - 2*u - 47. Let a be -2 + 2 + (9 - o). Which is smaller: a or -6/7? -6/7 Let i = -481 + 494. Is -11 greater than or equal to i? False Suppose 92 = -4*w + h, 0 = -3*h - 0 - 12. Let k be ((-1)/2)/((-2)/w - 0). Let m = 1/312 - 10613/1560. Is k at most as big as m? False Suppose -8*d + 17723 = -45*d. Are -479 and d equal? True Let h = -2/1579 - -1957/298431. Is 0 >= h? False Suppose 161 = 4*k - 23. Let o = -19 + k. Suppose -3*p = -4*i + 3, -i - 4*i + o = 4*p. Which is greater: 5 or i? 5 Suppose 2*m + 6 = -2*t, t = -2*m + 3*m + 7. Let v = -25.7 + 54.6. Let n = v + -29. Is m less than n? True Let d = 1.6 - 2.5. Let o = d + -6.1. Let n = 432 + -431. Which is smaller: n or o? o Let n(a) = -6*a + 9. Let m be n(1). Let p be (-29)/(0 - (-2 + m)). Is 28 at most as big as p? True Let o be 3/2*(2/3 + 0). Let x be (2/(-6) - (9 + -9))*o. Which is bigger: 4 or x? 4 Let i be (-10570)/14056 + 4 + (-26)/8. Which is smaller: i or 0? i Suppose -4*g = 12, 2*k + 0*k = 4*g + 12. Suppose 0 = 20*n - 23*n + 3. Is k greater than n? False Suppose 2030 = -5*q - 5*l, 5*q - 13*l + 8*l = -2070. Are q and -411 equal? False Let g = 0.02 - -0.22. Let u = g + -7.24. Let z = 1/2 + -3/14. Is z at most u? False Suppose -2*d + 3*d + 1 = 3*f, 2*d - 5*f = -1. Let c be -5 + 1/1*-2. Is c not equal to d? True Let j = 5267 + -194843/37. Which is greater: 0 or j? j Let z = -81/50 + 28/25. Let l = -1.01 + -0.29. Is z less than or equal to l? False Let h be 337/(-3223) + (-140)/(-77) + -2. Let v = h - -4/293. Which is smaller: 0 or v? v Let y be (-245)/(-330) + 1 + (-10)/6. Let q = y + -1/6. Is -1 not equal to q? True Suppose 129*j = 1864 + 16067. Is 561/4 < j? False Let q = -442.7 - -433. Which is bigger: -1/4 or q? -1/4 Let t be (-2952)/6*12/(-36). Which is greater: 490/3 or t? t Suppose -4*y - 2*m = -5*m + 9, 12 = -2*y + 4*m. Suppose b + 12 = 2*v + 3*b, 2*v - 2*b - 20 = 0. Let l be (1 + (-10)/v)/1. Which is greater: y or l? y Let t = 1.527 - 1.227. Is t greater than or equal to 42? False Let t = -0.79 - 3.195. Let c = 0.015 - t. Is c less than -0.07? False Let z(k) = -k**3 - 3*k**2 + 29*k - 3. Let l be z(4). Which is greater: 2/11 or l? l Let q = 5 + -15. Let w = -0.1 + -0.07. Let l = w - -0.17. Is q at least as big as l? False Suppose 0 = -3*a + 3*l + 279, 5*a - 216 = 3*a - 4*l. Let k = 687/7 - a. Which is smaller: k or -0.5? -0.5 Let q = -225985 - -34349601/152. Let d = 3/19 + q. Which is bigger: d or -2? d Let x be (292/(-14))/(-3 + -87). Let h = x - 1/105. Is 1 >= h? True Let c(w) = w**2 - 7*w + 1. Let p be c(6). Suppose 41 = 16*y + 11 - 18. Which is greater: p or y? y Let f(c) = -2*c**2 + 20*c + 21. Let b be f(9). Which is smaller: b or 38? 38 Let k = -646/9 + 72. Is k <= -61/3? False Let n be 3/12*4/(-7). Let j = 9049/6 - 1514. Let v = j - -19/3. Which is bigger: n or v? v Let w(a) = a**3 + 4*a**2 - 14*a - 6. Let b be w(-6). Let q = -12 + b. Which is smaller: q or -10? -10 Let r = -14 - -61/6. Are r and -4 equal? False Let d = 26.9 + -23.9. Is d smaller than 3? False Suppose 21*d = 25*d - 144. Let c = d - 37. Which is bigger: -5/6 or c? -5/6 Let b(i) = -8*i**2 + 6*i + 1. Let z be b(1). Let l be z + 4 + 30/(-12). Which is greater: l or -9? l Let q be 1 - (300/151 - 1). Let h(m) = -6*m**2 + 8*m + 109. Let a be h(5). Which is greater: a or q? q Let r(z) = -3*z**3 +
{ "pile_set_name": "DM Mathematics" }
4 and 29/1660. 11620 Calculate the lowest common multiple of 64 and 46. 1472 Calculate the lowest common multiple of 1 and 1671. 1671 Calculate the common denominator of -83/116 and 81/232. 232 Calculate the least common multiple of 164 and 164. 164 Calculate the lowest common multiple of 1496 and 136. 1496 Calculate the smallest common multiple of 3357 and 3. 3357 What is the smallest common multiple of 32 and 3? 96 Calculate the common denominator of -23/190 and 17/95. 190 Calculate the common denominator of 33/428 and 97/6848. 6848 Find the common denominator of 15/14 and 113/11690. 11690 Calculate the lowest common multiple of 2 and 2672. 2672 Calculate the common denominator of -13/198 and -41/18. 198 What is the common denominator of -63/416 and -89/260? 2080 What is the common denominator of 115/54 and -31/108? 108 Calculate the lowest common multiple of 78 and 48. 624 What is the common denominator of 8/75 and 39/5? 75 What is the common denominator of 9/56 and 5/33? 1848 Calculate the least common multiple of 3145 and 1110. 18870 Calculate the common denominator of 67/88 and -35/11. 88 What is the common denominator of 79/20 and 123/40? 40 What is the common denominator of 9/58 and -5/9? 522 Calculate the common denominator of 41/77 and 89/210. 2310 Calculate the smallest common multiple of 308 and 32. 2464 What is the lowest common multiple of 15848 and 18? 142632 Calculate the least common multiple of 366 and 6. 366 Calculate the least common multiple of 15 and 1965. 1965 What is the least common multiple of 1174 and 18? 10566 What is the least common multiple of 6850 and 12? 41100 What is the lowest common multiple of 408 and 544? 1632 What is the common denominator of -63/44 and 40/187? 748 Calculate the lowest common multiple of 444 and 3. 444 Calculate the common denominator of 179/90 and -39/20. 180 What is the common denominator of 69/7504 and -119/40? 37520 What is the common denominator of 101/1320 and -27/28? 9240 What is the lowest common multiple of 4 and 977? 3908 Find the common denominator of -67/6 and 58/21. 42 Calculate the common denominator of -54/493 and 44. 493 What is the lowest common multiple of 528 and 726? 5808 What is the least common multiple of 64 and 88? 704 Calculate the common denominator of 151/78 and 137/18. 234 Find the common denominator of -65/3972 and 41/18. 11916 What is the common denominator of 27/2 and 69/602? 602 Find the common denominator of 25/132 and -151/84. 924 What is the lowest common multiple of 28 and 490? 980 What is the least common multiple of 666 and 1628? 14652 What is the least common multiple of 360 and 45? 360 Calculate the common denominator of 10/341 and -3/248. 2728 Find the common denominator of 43/1755 and -28/3. 1755 What is the least common multiple of 45 and 120? 360 Calculate the lowest common multiple of 276 and 6. 276 Calculate the common denominator of 85/1704 and 167/420. 59640 What is the common denominator of -145/12 and 69/556? 1668 Calculate the common denominator of -42/1217 and 15/7. 8519 What is the common denominator of -18/11 and -8? 11 Calculate the smallest common multiple of 444 and 148. 444 What is the least common multiple of 899 and 62? 1798 Calculate the least common multiple of 21 and 810. 5670 What is the common denominator of -91/66 and -91/176? 528 What is the least common multiple of 590 and 5900? 5900 What is the common denominator of 48/1475 and -19/885? 4425 What is the common denominator of -81/16 and 71/1046? 8368 Find the common denominator of 145/1746 and -56/7857. 15714 Find the common denominator of 89/272 and -91/4930. 39440 Find the common denominator of 5/384 and -7/12. 384 Calculate the common denominator of 69/10 and -32/33. 330 What is the least common multiple of 18 and 153? 306 What is the common denominator of -127/182 and -57/1246? 16198 What is the smallest common multiple of 29862 and 3? 29862 Calculate the common denominator of 155/66 and -89/78. 858 What is the common denominator of 11/14 and 35/256? 1792 Calculate the common denominator of 89/609 and 109/812. 2436 What is the common denominator of -133/180 and 92/225? 900 What is the smallest common multiple of 695 and 1251? 6255 Calculate the least common multiple of 4 and 93. 372 Calculate the common denominator of 41/10 and -71/18. 90 What is the smallest common multiple of 102 and 493? 2958 What is the common denominator of -37/39 and -22/9? 117 What is the least common multiple of 32 and 76? 608 Calculate the lowest common multiple of 9 and 945. 945 Find the common denominator of -67/1600 and 31/100. 1600 Calculate the smallest common multiple of 3605 and 77. 39655 Calculate the lowest common multiple of 6375 and 33. 70125 Calculate the common denominator of 5/1314 and 137/1314. 1314 Find the common denominator of 11/375 and 9/1675. 25125 Calculate the least common multiple of 7 and 9. 63 Calculate the lowest common multiple of 33 and 33. 33 What is the common denominator of 71/118 and 131/6? 354 Calculate the smallest common multiple of 234 and 18. 234 Calculate the common denominator of -71/378 and 103/108. 756 What is the common denominator of 50/199 and -1/6? 1194 What is the common denominator of 31/6 and 51/3250? 9750 Calculate the common denominator of 89/3346 and 83/14. 3346 Find the common denominator of -55/42 and -5/182. 546 What is the lowest common multiple of 777 and 35? 3885 Calculate the least common multiple of 143 and 26. 286 Find the common denominator of 115/1362 and -62/9. 4086 Calculate the least common multiple of 8 and 634. 2536 What is the smallest common multiple of 21 and 1736? 5208 Calculate the smallest common multiple of 20 and 314. 3140 Calculate the common denominator of 83/97455 and -27/8. 779640 What is the least common multiple of 380 and 418? 4180 Find the common denominator of -109/88 and 59/6. 264 What is the least common multiple of 7 and 525? 525 Calculate the common denominator of -7/25986 and 71/22. 285846 What is the common denominator of -67/60 and -85/32? 480 What is the common denominator of -88/21 and 32/13111? 39333 Find the common denominator of 91/1284 and -18/11. 14124 What is the smallest common multiple of 60 and 174? 1740 Calculate the common denominator of -61/2 and 11/26. 26 Calculate the lowest common multiple of 6 and 2425. 14550 What is the common denominator of 139/240 and 31/8? 240 Find the common denominator of -53/3 and -67/518. 1554 Calculate the least common multiple of 1 and 176. 176 Calculate the smallest common multiple of 256 and 772. 49408 Calculate the common denominator of -83/82 and -26/3. 246 What is the least common multiple of 175 and 105? 525 Calculate the common denominator of -41/1170 and -91/10. 1170 What is the smallest common multiple of 387 and 30? 3870 What is the smallest common multiple of 1584 and 8? 1584 Find the common denominator of 41/16 and -63/1832. 3664 What is the common denominator of -53/11 and 49/181? 1991 What is the least common multiple of 860 and 3440? 3440 What is the least common multiple of 291 and 15? 1455 Calculate the smallest common multiple of 20 and 14. 140 Calculate the least common multiple of 36 and 798. 4788 Find the common denominator of -5/28 and 59/204. 1428 Calculate the lowest common multiple of 685 and 30. 4110 What is the common denominator of -19/7330 and -37/10? 7330 Find the common denominator of -3/1190 and 63/40. 4760 What is the common denominator of -62/21 and 67/11475? 80325 What is the common denominator of -51/152 and 111/40? 760 Calculate the lowest common multiple of 264 and 108. 2376 What is the common denominator of -17/140 and -97/16? 560 Find the common denominator of -81/238 and 73/3808. 3808 Find the common denominator of -19/1968 and 16/27. 17712 What is the common denominator of -7/120 and 53/252? 2520 Calculate the common denominator of -61/10 and -62/55. 110 Calculate the common denominator of -79/2112 and 99/224. 14784 What is the least common multiple of 22 and 258? 2838 Calculate the lowest common multiple of 130 and 14. 910 Calculate the lowest common multiple of 160 and 64. 320 What is the smallest common multiple of 5 and 157? 785 Find the common denominator of 119/10 and -36/5. 10 What is the common denominat
{ "pile_set_name": "DM Mathematics" }
+ 154.93. Which is the nearest to s? (a) -2 (b) -2/13 (c) -4 (d) 3 b Let b be 5/(35/4928) - -5. Let r = 719 - b. What is the closest to -1 in r, 5, -3? -3 Let t = -7.56 - -6.56. Which is the nearest to -1/20? (a) t (b) -4/11 (c) -3 (d) -0.1 d Let u = 4 - 3. Let w = 2.6 + -2. Let s be (16/140)/(2/7). Which is the nearest to -1? (a) w (b) s (c) u b Let q = 18 + -16. Suppose -5*k = -45 - 0. Let d be ((-2)/15*k)/(6/40). What is the closest to 1 in d, -5, q? q Let j = -179730 + 179731. Let k = 1.2 + -1. Let v = k + -0.3. Which is the closest to v? (a) 1/6 (b) j (c) 0.2 a Let m = 130 - 131. Let h = -3306/5 + 661. Which is the closest to m? (a) h (b) -7 (c) 2/7 a Suppose 199 - 224 = -5*s. Let u be (2 + (-125)/55)/1. Which is the closest to u? (a) -0.4 (b) 2 (c) s a Let y = 69.57 - 69.52. What is the nearest to -1 in 0, y, 0.135? 0 Let x be 306/(-170) + (2 - 0). Which is the closest to 0? (a) x (b) 12 (c) 0.5 a Let i = 83 + -83.5. Let s = 0.29 + -0.19. Let g = 39 - 39.1. Which is the nearest to g? (a) s (b) i (c) -3 a Let d = -621.8 - -623. Let c = 23 + -26. What is the nearest to d in 0, c, -0.4? 0 Let l = 51.5 + -56.5. Let w = 2.96 + -3. Let x = -0.06 + w. What is the closest to x in -2, 2, l? -2 Let g = -3306 - -3301. Which is the nearest to 0.82? (a) 3 (b) g (c) 4 (d) 2/15 d Let y = 6 + -4. Suppose -2*n + 1 = -3*m + 4*m, 0 = -y*n. Let b = -3707427/4 - -926859. What is the nearest to 1 in m, 5, b? m Let u = 10271.86 - 10272. Which is the nearest to -1/2? (a) 3 (b) -0.3 (c) -0.07 (d) u b Let m = -6643 + 5018. What is the nearest to m in -2, 0.3, -4? -4 Let q = 0.2 - 1.2. Let x be (1/(-5))/(3453/11510). What is the nearest to x in -1.1, 0.1, q? q Let k = 0.3608 - 1.3608. Let x = 0.9 + -0.4. Which is the closest to k? (a) 3 (b) 5 (c) x c Let n = 74083 + -74096. Suppose -8 = -0*t - 4*t. Which is the closest to t? (a) 1/9 (b) n (c) 1 c Let o be 1/((-2)/4) - 640/(-6144)*48. Let p = -18.09 - -18. Let z = -89/3 + 30. Which is the nearest to 2/5? (a) z (b) o (c) p a Let x = -17 + 15.1. Let j = 0.9 + x. Let v = 21.3 - 21.1. Which is the nearest to -5? (a) j (b) -4 (c) v b Let o = 0.023 + -3.023. Let m = 0.00879 + 3.99121. What is the closest to 11 in 11, m, o, 1/4? 11 Let i = -7/9 - -55/36. Let w = -552 - -526. What is the nearest to i in -4, 1/4, w? 1/4 Let s = 222.7 + -221.7. What is the nearest to 0 in -0.94, 2, s? -0.94 Let x = -2581/2 - -1291. Which is the closest to 0.2? (a) x (b) -23 (c) 0.2 (d) 2/27 c Let u = -0.0103 - 0.6897. Let o = 15 + -17.5. Let z = -0.5 + o. What is the nearest to -2 in u, z, 0? z Let z = 4603.7 + -4601.7. What is the nearest to 0.1 in 5, 6, z, -6? z Let o = -8.87 - -9. Let z = o - 0.03. Let i = 36281/29 + -1251. Which is the closest to i? (a) -1 (b) z (c) 0.3 b Let g = 99 + -99.0791. Let h = 0.3791 + g. Let p = 4 - 4.3. What is the closest to -1 in h, -5, p? p Let h = 378.6 - 374. Let y = h + -4.4. What is the closest to 3 in -0.04, y, 3? 3 Let b be (-2)/(-20)*-2 + (134/20 - 4). What is the closest to 0.05 in b, -0.2, -0.12? -0.12 Let s = -9.8 - -10. Let y = 7.7 - 8. Let q = -0.9443 + 0.7443. Which is the closest to s? (a) y (b) -0.4 (c) q c Let i = -0.462 + 1.762. What is the closest to 0.091 in 2, 5, i? i Let t = -10052 + 10053. Which is the closest to 1/3? (a) t (b) 25 (c) -8 a Let b be (-15)/(-63)*159 - (-210)/(-245). What is the closest to 15 in 0.1, 3, b? 3 Let n = -0.255 + 0.325. Let x = -52 - -56. Suppose f - 6*f = -x*f. What is the closest to f in 1, n, -5? n Let m = 41 + -40.5. Let q = m + -16.5. Let z be (-9)/((-540)/292) + (-2)/(-15). What is the nearest to -1 in q, 0.5, z? 0.5 Let g = 14911 - 14927. Let z = 1.38 - -0.02. Let u = z - 0.9. Which is the closest to 1? (a) u (b) 0.2 (c) g a Let a = 187.51 - 186. Let i = a + -2.52. Let g = i - -1.31. What is the nearest to 1/2 in g, 4, 0.01? g Let f = -50.06 - -61.46. What is the closest to 3 in -1/6, 1, f? 1 Let i = 1.317 + 1.683. What is the nearest to 2 in 3040, -1/4, i? i Let g = -119 + 127.7. Let t = g + -6.7. Which is the nearest to 0.3? (a) -0.5 (b) -0.02 (c) t b Let m be (45/(1620/8))/(80/(-36)). What is the closest to 2/5 in m, -4/3, -0.38? m Let w = 7.9 - 8. Let z = 114 + -112. Which is the nearest to w? (a) 8 (b) 0.4 (c) z b Let h = -114 + 115. Which is the nearest to 3/4? (a) -7.1 (b) h (c) -4/7 (d) 1/3 b Let d = 310.1 - 310. Let l = -8 - -5. Let k = 4 + l. What is the closest to d in k, -4, 2? k Let r = -2282 + 2282.3. Which is the nearest to -2/7? (a) 5 (b) 1/6 (c) r (d) 2/15 d Let f = -3.1 - -3. Let q = -91.28 + 91.28. What is the closest to f in -3, -2/15, q, -4? -2/15 Let l = -0.5 + 0.3. Let k = -0.3071 + 0.0071. Let y = -481/1708 - 1/244. What is the closest to k in y, -0.5, l? y Let m be (-220)/42 + 3390/(-45) + 81. Let b = -14 + 23. What is the nearest to -1 in m, -1/7, b? -1/7 Let r = 1.512 - -0.488. Let k = 43 - 39. Which is the closest to k? (a) r (b) -5 (c) 2/9 a Let s be (-1860)/(-2604) - 9/(-7). Which is the nearest to 17/2? (a) 2/3 (b) 0.21 (c) s c Let k = 3.956 - -1.044. What is the closest to -2 in 0.14, k, -6? 0.14 Let g be -5*((-6)/345 - 0). Let t = -883.2 - -883. Which is the closest to t? (a) g (b) 1/3 (c) -2 a Let g = 17139 + -17139.4. What is the closest to g in -1, 2, 12/23? -1 Let q = -606.0161 + 0.0161. Let j = -606.4 - q. Which is the nearest to 0.4? (a) -5 (b) j (c) -3 b Let v = -260.4 - -272. Let f = v - -68.4. What is the nearest to -1 in f, 2, -2/7? -2/7 Let y = 59.42 + -149.42. Which is the nearest to 21/5? (a) y (b) 5 (c) 1/2 b Let u be -2*(1598/204)/47. Let n = -53/93 - 3/31. Which is the nearest to -1/4? (a) -1/8 (b) n (c) u c Let v = 240.592 + -240.11. What is the nearest to -0.2 in 3, -3, v, 4? v Let o = 173 + -239.5. Let m = -67 - o. Which is the nearest to 1/2? (a) -4/5 (b) 2 (c) m c Let q = -159 - -162. Let n = -10.76 - 0.24. Let c = n - -10.8. What is the nearest to c in 5, q, 2/3? 2/3 Let t = -2 - 2. Let k = -26 + 26.52. Let l = k - 0.42. What is the nearest to l in t, -1/2, -1? -1/2 Let x = 0.64 - 0.4. Let m = -1.76 - x. Suppose -4*n - 4*v - 39 = -5*n, 33 = n + 2*v. What is the nearest to n in m, 1/2, -0.5? 1/2 Let m = 1669.8 + -1670. What is the closest to m in 17, 2/13, -0.25? -0.25 Let q be (2/18)/((-150)/(-45) + -3). Which is the nearest to -1? (a) 0 (b) q (c) 14 (d) -1 d Let h be 2/((-11)/(121/22)). Let t = 14.942 + -0.142. Let j = 15 - t. Which is the closest to 1? (a) h (b) j (c) -2/3 b Let u be (3 - 4) + (-640)/(-5). Let m = u + -124. Let p be -5*(106/(-30) + m). Which is the closest to 0.1? (a) p (b) 5 (c) 0 c Let f = -11/57 - -10/19. What is the nearest to -1 in -0.1, 2/37, f? -0.1 Let s = -4575.5 + 4575. Which is the nearest to 2? (a) -5 (b) s (c) 1/10 c Let r(g) = -3*g**2 + 28*g + 29. Let t be r(-1). Which is the nearest to t? (a) -4 (b) -8 (c) 2 a Let s(m) = -m**3 + 4*m**2 - 5. Let u be s(3). Let i = 0.913 + -1.913. Which is the closest to i? (a) 1 (b) u (c) -0.5 c Let w = -73.99 - -70.99. Which is the nearest to 1/9? (a) -1/3 (b) -12 (c) w a Let a = 0.1369 - -1.8631. Let b = 19 - 34. What is the closest to -0.5 in -3/2, b, a? -3/2 Let m be -1*4 - (5089/(-4))/(-7). Let j = -186 - m. Which is the nearest to j? (a) 0.2 (b) 5 (c) -10/3 a Let v = 5914.5 - 5914. Which is the closest to 0? (a) -1/9 (b) 2 (c) v a Let t = -85/13 - -229/39. Let j = -120 - -1318/11. What is the nearest to -5/2 in 1/2, t, j, 3? t Let h = 307 - 302. Let x = -1508 - -1507.8. Which is the closest to -4? (a) x (b) 3 (c) h (d) -0.05 a Let m(z) = -34*z + 25. Let v be m(4). Let d = -557/5 - v. Let c = -0.5 + 0.6. What is the nearest to c in -5, 3, d? d Let y = 0.873 + -2.873. Let o(v) = v**2 + 11*v + 9. Let r(k) = -k + 1. Let g(j) = o(j) - 5*r(j). Let z be g(-16). What is the nearest to -10 in z, y, 1? y Let l = 8166 - 8161. Let f = 6 + -6.3. Which is the nearest to 0.1? (a) l (b) f (c) -2 (d) 3 b Let s = 48 - 53. Let v(z) = -z**3 + 29*z**2 + 27*z + 89. Let j be v(30). Which is the closest to j? (a) 5 (b) -1.7 (c) s b Let g be 1*4*((-1784)/112 + 16). Let v be -1 - (-35)/(-30)*-1. Which is the closest to g? (a) 2/11 (b) 3 (c) v a Let y = -27.2 - -27. Let g = 9/58 + 10/29. What is the closest to g
{ "pile_set_name": "DM Mathematics" }
? False Is 383312 a multiple of 8? True Is 136 a factor of 164152? True Is 72 a factor of 310680? True Is 6455837 a multiple of 20? False Is 1520 a factor of 5575674? False Is 20 a factor of 530621? False Is 3872466 a multiple of 201? True Is 25 a factor of 791974? False Is 17904 a multiple of 3? True Is 4 a factor of 106875? False Does 486 divide 1101276? True Does 28 divide 65828? True Is 8 a factor of 107074? False Is 58286 a multiple of 924? False Does 38 divide 209593? False Is 545 a factor of 149331? False Is 3158903 a multiple of 31? False Is 28 a factor of 5236? True Does 23 divide 2907568? True Is 13 a factor of 16912? False Is 2 a factor of 428337? False Is 11508 a multiple of 9? False Is 1020238 a multiple of 34? True Is 714268 a multiple of 4? True Does 165 divide 468105? True Does 28 divide 517536? False Does 6 divide 893200? False Is 608815 a multiple of 22? False Is 73 a factor of 12747246? False Does 3 divide 454954? False Does 2 divide 11394? True Is 71 a factor of 1396076? False Does 25 divide 3152788? False Is 249 a factor of 410620? False Is 31 a factor of 1463510? True Is 324194 a multiple of 72? False Is 147808 a multiple of 248? True Is 4 a factor of 549653? False Does 334 divide 32732? True Is 85 a factor of 423555? True Does 59 divide 34321067? True Is 19 a factor of 5964689? True Is 70481 a multiple of 32? False Is 6006460 a multiple of 77? False Is 7 a factor of 41288? False Is 16 a factor of 301072? True Does 290 divide 2169877? False Is 253 a factor of 1390235? True Is 6476100 a multiple of 15? True Is 12 a factor of 372984? True Does 34 divide 422178? True Does 2 divide 74447? False Is 255080 a multiple of 14? True Does 13 divide 1229143? False Is 2617849 a multiple of 10? False Does 17 divide 3238786? False Does 73 divide 89133? True Is 76398 a multiple of 51? True Is 1204454 a multiple of 950? False Is 1674775 a multiple of 79? False Is 210308 a multiple of 74? True Does 49 divide 19385? False Is 2 a factor of 1453340? True Is 155 a factor of 132990? True Does 53 divide 264894? True Is 459387 a multiple of 171? False Does 197 divide 215586? False Is 5 a factor of 64835? True Is 139125 a multiple of 371? True Does 33 divide 5582943? False Does 106 divide 4316823? False Does 53 divide 206329? True Is 19549770 a multiple of 290? True Is 328814 a multiple of 617? False Does 21 divide 43806? True Is 8 a factor of 44791? False Does 11 divide 433246? True Is 23569 a multiple of 46? False Is 22 a factor of 9966220? True Is 1698 a multiple of 3? True Is 15 a factor of 1747152? False Is 53 a factor of 29633678? True Is 201 a factor of 350946? True Does 74 divide 48470? True Is 55 a factor of 88605? True Is 79938 a multiple of 18? True Is 216220 a multiple of 95? True Is 2504493 a multiple of 109? True Is 2 a factor of 59422? True Does 21 divide 16617? False Is 594497 a multiple of 293? True Is 2 a factor of 382234? True Does 417 divide 300446? False Is 390775 a multiple of 385? True Is 23 a factor of 600001? True Is 443146 a multiple of 11? True Is 1009 a factor of 786109? False Is 2067000 a multiple of 8? True Is 47419 a multiple of 25? False Is 8 a factor of 32162? False Is 79562 a multiple of 25? False Is 2945024 a multiple of 64? True Is 23 a factor of 156395? False Does 8 divide 1611842? False Does 772 divide 6871572? True Is 481 a factor of 1734766? False Is 62718 a multiple of 3? True Is 1650784 a multiple of 25? False Does 4 divide 127144? True Is 22260 a multiple of 3? True Is 12 a factor of 15764976? True Is 22 a factor of 20930558? True Is 13 a factor of 817154? True Is 58480 a multiple of 21? False Is 43 a factor of 240283? False Does 38 divide 167656? True Is 87926 a multiple of 47? False Is 1190112 a multiple of 224? True Does 7 divide 226513? True Is 117865 a multiple of 154? False Does 194 divide 205225? False Does 28 divide 297742? False Is 86 a factor of 191438? False Is 30 a factor of 1283700? True Is 128814 a multiple of 211? False Does 257 divide 4159545? True Is 182 a factor of 129220? True Is 953 a factor of 3696687? True Is 29359 a multiple of 6? False Is 6530 a multiple of 5? True Is 335064 a multiple of 552? True Does 14 divide 756032? False Is 5594884 a multiple of 859? False Is 4588720 a multiple of 328? True Is 428151 a multiple of 23? False Does 70 divide 278297? False Is 7114916 a multiple of 21? False Does 12 divide 521249? False Is 7057056 a multiple of 48? True Does 13 divide 3202528? False Is 113 a factor of 125543? True Does 20 divide 16924? False Is 695121 a multiple of 24? False Is 23268 a multiple of 40? False Is 3567 a multiple of 6? False Does 502 divide 13775673? False Is 12 a factor of 102672? True Is 330648 a multiple of 46? True Is 113220 a multiple of 51? True Is 114 a factor of 230052? True Is 571 a factor of 1378394? True Does 119 divide 195188? False Is 9 a factor of 3334939? False Does 20 divide 171480? True Does 49 divide 2740164? False Is 243 a factor of 173476? False Is 30 a factor of 458808? False Is 4 a factor of 969738? False Is 262174 a multiple of 4? False Is 117858 a multiple of 272? False Does 486 divide 9588780? True Is 143 a factor of 56031? False Is 2855408 a multiple of 22? False Is 247826 a multiple of 394? True Is 17 a factor of 14778993? False Is 813666 a multiple of 42? True Does 14 divide 1356656? True Does 13 divide 2613791? False Is 25536 a multiple of 19? True Does 104 divide 422760? True Does 173 divide 6278689? True Is 307 a factor of 465412? True Is 636313 a multiple of 245? False Is 623695 a multiple of 579? False Does 215 divide 469405? False Is 3920688 a multiple of 8? True Is 29980 a multiple of 20? True Is 102 a factor of 1166370? True Is 12740854 a multiple of 799? True Is 11 a factor of 78474? True Is 71143 even? False Does 146 divide 2747208? False Is 20 a factor of 18483? False Is 32 a factor of 6175369? False Is 78 a factor of 250619? False Is 39 a factor of 196521? True Is 13204 a multiple of 92? False Is 14500218 a multiple of 8? False Is 457 a factor of 2235187? True Is 21 a factor of 14786? False Is 319 a factor of 10277861? True Is 50 a factor of 1623300? True Is 1520324 a multiple of 107? False Is 72112 a multiple of 275? False Is 41 a factor of 33087? True Is 30 a factor of 952907? False Is 24 a factor of 2884896? True Is 24 a factor of 781440? True Is 52311 a multiple of 13? False Is 1609036 a multiple of 22? True Is 147 a factor of 53707? False Is 120 a factor of 120720? True Does 19 divide 254168? False Is 25 a factor of 130823? False Is 30 a factor of 602209? False Is 267026 a multiple of 92? False Is 150247 a multiple of 20? False Does 15 divide 342268? False Is 21 a factor of 8102442? False Does 132 divide 2398044? True Is 11 a factor of 479666? True Is 84 a factor of 416714? False Is 549 a factor of 116937? True Does 7 divide 4596669? True Is 612 a factor of 559980? True Does 2 divide 25878? True Is 65 a factor of 1645372? False Does 763 divide 421939? True Is 2744649 a multiple of 9? True Is 206367 a multiple of 48? False Is 681246 a multiple of 165? False Does 9 divide 83097? True Is 4 a factor of 100860? True Does 10 divide 369770? True Is 27 a factor of 143267? False Is 57 a factor of 4459052? False Is 490 a factor of 4296320? True Is 143 a factor of 75574? False Is 82408 even? True Does 1192 divide 14916688? True Is 13 a factor of 1181838? False Does 33 divide 3790990? False Does 656 divide 12706977? False Is 3 a factor of 11119? False Is 3774448 a multiple of 8? True Is 10816303 a multiple of 31? True Is 1067704 a multiple of 11? True Does 482 divide 78404? False Is 38954 a multiple of 2? True Does 31 divide 277651? False Does 13 divide 116723? False Does 9 divide 143280? True Is 1054 a factor of 5453396? True Is 555749 a multiple of 7? False Is 23 a factor of 964666? True Is 608358 a multiple of 123? True Is 277367 a multiple of 39? False Is 13643 a multiple of 12? False Is 24477 a multiple of 48? False Is 10 a factor of 572930? True Is 13 a factor of 12168? True Is 13837655 a multiple of 1795? True Is 3 a factor of 11505? True Is 289618 a multiple of 22? False Is 9372142 a multiple of 27? False Is 3 a factor of 290568? True Is 184203 a multiple of 14? False Does 11 divide 4080278? False Is 1107 a factor of 15262
{ "pile_set_name": "DM Mathematics" }
94, 7531137, 13388584, 20919493, 30123822, 41001529? -7*v**3 + 836815*v**2 + v - 12 What is the r'th term of 29740, 59463, 89184, 118903, 148620, 178335, 208048? -r**2 + 29726*r + 15 What is the v'th term of 954, 1030, 1178, 1434, 1834, 2414, 3210, 4258? 6*v**3 + 34*v + 914 What is the a'th term of -13468, -26908, -40344, -53776? 2*a**2 - 13446*a - 24 What is the q'th term of 8312, 16907, 25698, 34685, 43868? 98*q**2 + 8301*q - 87 What is the n'th term of -288639, -289122, -289605, -290088, -290571? -483*n - 288156 What is the c'th term of 67425, 75338, 83247, 91152? -2*c**2 + 7919*c + 59508 What is the a'th term of -307, 819, 4803, 13073, 27057, 48183, 77879? 238*a**3 + a**2 - 543*a - 3 What is the a'th term of 1367, 5580, 12581, 22364, 34923? -a**3 + 1400*a**2 + 20*a - 52 What is the n'th term of -894597, -894889, -895181, -895473, -895765? -292*n - 894305 What is the s'th term of -3142641, -3142640, -3142639, -3142638? s - 3142642 What is the n'th term of -1568287, -1568316, -1568363, -1568428, -1568511, -1568612? -9*n**2 - 2*n - 1568276 What is the m'th term of 244045, 243986, 243867, 243658, 243329, 242850, 242191, 241322? -5*m**3 - 24*m + 244074 What is the a'th term of -23183, -92787, -208797, -371213, -580035, -835263? -23203*a**2 + 5*a + 15 What is the p'th term of 138465, 275413, 412361, 549309, 686257, 823205? 136948*p + 1517 What is the i'th term of -3112, -7419, -14660, -24835, -37944, -53987? -1467*i**2 + 94*i - 1739 What is the g'th term of 599855, 1199707, 1799559? 599852*g + 3 What is the z'th term of -4898, 30624, 66160, 101716, 137298, 172912, 208564? z**3 + z**2 + 35512*z - 40412 What is the i'th term of -75008, -74938, -74868, -74798? 70*i - 75078 What is the q'th term of 284217, 567935, 851653, 1135371, 1419089? 283718*q + 499 What is the a'th term of -7055, -14117, -21199, -28313, -35471? -2*a**3 + 2*a**2 - 7054*a - 1 What is the p'th term of -1283577, -1283575, -1283573, -1283571, -1283569, -1283567? 2*p - 1283579 What is the i'th term of -13680, -25578, -37476, -49374? -11898*i - 1782 What is the u'th term of 73168, 73140, 73080, 72976, 72816, 72588? -2*u**3 - 4*u**2 - 2*u + 73176 What is the k'th term of 5763, 6726, 7683, 8634, 9579, 10518? -3*k**2 + 972*k + 4794 What is the m'th term of 763432698, 763432706, 763432728, 763432770, 763432838, 763432938? m**3 + m**2 - 2*m + 763432698 What is the c'th term of -544246, -544245, -544246, -544249, -544254? -c**2 + 4*c - 544249 What is the a'th term of -8406, -6137, -3868, -1599, 670, 2939? 2269*a - 10675 What is the t'th term of -9543153, -9543152, -9543151, -9543150, -9543149? t - 9543154 What is the f'th term of -409, -1590, -4327, -9400, -17589, -29674, -46435? -130*f**3 + 2*f**2 - 277*f - 4 What is the q'th term of 1331, 2872, 4533, 6308, 8191? -q**3 + 66*q**2 + 1350*q - 84 What is the c'th term of -4727, -18441, -41141, -72833, -113523? -c**3 - 4487*c**2 - 246*c + 7 What is the l'th term of -7818201, -7818200, -7818199? l - 7818202 What is the t'th term of 74803880, 74803871, 74803852, 74803817, 74803760, 74803675, 74803556? -t**3 + t**2 - 5*t + 74803885 What is the j'th term of -20732915, -41465833, -62198751, -82931669? -20732918*j + 3 What is the a'th term of 33298, 134006, 302110, 537616, 840530, 1210858, 1648606, 2153780? a**3 + 33692*a**2 - 375*a - 20 What is the i'th term of 137363205, 274726410, 412089615, 549452820, 686816025? 137363205*i What is the c'th term of -118278939, -118278941, -118278943, -118278945, -118278947, -118278949? -2*c - 118278937 What is the b'th term of -195534, -195601, -195712, -195867, -196066? -22*b**2 - b - 195511 What is the j'th term of -144446451, -288892903, -433339355, -577785807? -144446452*j + 1 What is the p'th term of 4627276, 9254555, 13881834, 18509113, 23136392, 27763671? 4627279*p - 3 What is the k'th term of -87376, -699365, -2360764, -5596369, -10930976, -18889381, -29996380, -44776769? -87466*k**3 + 91*k**2 - 1 What is the y'th term of 44590, 44603, 44622, 44647, 44678, 44715? 3*y**2 + 4*y + 44583 What is the v'th term of -2197, -4318, -6357, -8290, -10093, -11742, -13213, -14482? 4*v**3 + 17*v**2 - 2200*v - 18 What is the x'th term of -231415, -925877, -2083315, -3703729, -5787119, -8333485? -231488*x**2 + 2*x + 71 What is the j'th term of -1219, -1351, -1703, -2383, -3499, -5159, -7471? -18*j**3 - 2*j**2 - 1199 What is the h'th term of 2904, 5440, 7976, 10512, 13048? 2536*h + 368 What is the j'th term of 138089, 276178, 414255, 552314, 690349, 828354, 966323, 1104250? -j**3 + 138096*j - 6 What is the u'th term of -5795917, -11591826, -17387735, -23183644? -5795909*u - 8 What is the s'th term of 2755, 11021, 24797, 44083, 68879, 99185? 2755*s**2 + s - 1 What is the s'th term of -400968, -401011, -401050, -401085, -401116, -401143? 2*s**2 - 49*s - 400921 What is the f'th term of 13288, 26491, 39608, 52639, 65584? -43*f**2 + 13332*f - 1 What is the t'th term of -641095, -1282186, -1923273, -2564362, -3205459, -3846570, -4487701, -5128858? -t**3 + 8*t**2 - 641108*t + 6 What is the k'th term of 20036, -15859, -75676, -159409, -267052, -398599? k**3 - 11967*k**2 - k + 32003 What is the b'th term of 6405, 7183, 8489, 10329, 12709, 15635, 19113, 23149? b**3 + 258*b**2 - 3*b + 6149 What is the l'th term of 63224242, 63224240, 63224238, 63224236, 63224234? -2*l + 63224244 What is the s'th term of 14954, 133692, 455984, 1083608, 2118342, 3661964, 5816252, 8682984? 16963*s**3 - s**2 - 2008 What is the v'th term of 877, 1560, 2205, 2794, 3309, 3732, 4045, 4230? -3*v**3 - v**2 + 707*v + 174 What is the y'th term of -1439, -11394, -38439, -91118, -177975? -1424*y**3 - y**2 + 16*y - 30 What is the g'th term of 608, 3221, 7592, 13721, 21608, 31253? 879*g**2 - 24*g - 247 What is the p'th term of 1860773, 3721463, 5582153, 7442843? 1860690*p + 83 What is the n'th term of -37787, -38085, -38393, -38711, -39039, -39377, -39725? -5*n**2 - 283*n - 37499 What is the t'th term of 2316, 9265, 20892, 37197, 58180? 2339*t**2 - 68*t + 45 What is the v'th term of -933125, -3732392, -8397811, -14929382, -23327105? -933076*v**2 - 39*v - 10 What is the r'th term of 490186, 980345, 1470458, 1960501, 2450450? -4*r**3 + r**2 + 490184*r + 5 What is the r'th term of 955, 2188, 4123, 6754, 10075, 14080, 18763, 24118? -r**3 + 357*r**2 + 169*r + 430 What is the t'th term of -32880, -65789, -98698, -131607, -164516, -197425? -32909*t + 29 What is the x'th term of -154283, -308522, -462775, -617048, -771347, -925678, -1080047? -x**3 - x**2 - 154229*x - 52 What is the c'th term of -945, -1632, -2345, -3084? -13*c**2 - 648*c - 284 What is the v'th term of 916, 1683, 2450? 767*v + 149 What is the l'th term of 35051, 139998, 314857, 559628, 874311, 1258906? 34956*l**2 + 79*l + 16 What is the w'th term of 1830, 3590, 5350, 7110? 1760*w + 70 What is the u'th term of -206003, -411515, -617027, -822539, -1028051, -1233563? -205512*u - 491 What is the a'th term of 3, -2, -21, -54, -101? -7*a**2 + 16*a - 6 What is the x'th term of 50348, 100511, 150674, 200837, 251000? 50163*x + 185 What is the d'th term of 5215, 10453, 15707, 20983, 26287? d**3 + 2*d**2 + 5225*d - 13 What is the c'th term of 1820, 2077, 2334? 257*c + 1563 What is the w'th term of -6463, -13768, -21917, -30910, -40747, -51428, -62953? -422*w**2 - 6039*w - 2 What is the y'th term of 1425, 11848, 29211, 53508, 84733, 122880, 167943? -y**3 + 3476*y**2 + 2*y - 2052 What is the o'th term of -132991, -531926, -1196803, -2127616, -3324359, -4787026, -6515611? o**3 - 132977*o**2 - 11*o - 4 What is the s'th term of 27628, 56506, 85382, 114256, 143128, 171998? -s**2 + 28881*s - 1252 What is the t'th term of -5093802, -10187619, -15281436, -20375253, -25469070? -5093817*t + 15 What is the o'th term of -2253392, -2253056, -2252720, -2252384, -2252048, -2251712? 336*o - 2253728 What is the o'th term of -1629, -2373, -3107, -3825, -4521? o**3 - o**2 - 748*o - 881 What is the j'th term of -1926, -7888, -17858, -31836? -2004*j**2 + 50*j + 28 What is the a'th term of -1604, -6305, -14096, -24977, -38948, -56009, -76160? -1545*a**2 - 66*a + 7 What is the y'th term of -8334290, -16668568, -25002846, -33337124? -8334278*y - 12 What is the a'th term of 9683, -3495, -25465, -56233, -95805, -144187, -201385? -a**3 - 43
{ "pile_set_name": "DM Mathematics" }
(e) 2/9 (f) 4 (g) 5 e What is the third smallest value in 0, -0.0539, -3, 3686? 0 Which is the biggest value? (a) -2/7 (b) -10/41 (c) -0.4 (d) 8 (e) -123 d Which is the smallest value? (a) 0.1 (b) -21.7905 (c) -4 b What is the third biggest value in 2/3, -192837, 0.1, 84? 0.1 Which is the sixth smallest value? (a) -2 (b) 3 (c) -710 (d) -3/11 (e) -4 (f) -0.4 b What is the second biggest value in -3.9211, 3, -2/437, -11? -2/437 Which is the biggest value? (a) -0.4 (b) -0.0406 (c) -22/53 (d) -3 b What is the second smallest value in 1, -2, -1560, 3, -4, 1/4412? -4 Which is the second smallest value? (a) 0.2 (b) -0.15 (c) -3204 (d) 1/4 b What is the fifth biggest value in 3, 4/3, -0.3, 0, -8963.5? -8963.5 What is the smallest value in -4/435, -578, 0.08? -578 What is the smallest value in 3, 1/152, -0.7, -3, 20/29, 0.05, 0.1? -3 What is the third biggest value in 1, 1/4, 0, -2/7, 1/2, -934? 1/4 What is the sixth biggest value in 0.4, 0.2, 0.5, -376, 2, 5/16? -376 Which is the sixth biggest value? (a) -1 (b) 5 (c) -3/5 (d) 122 (e) 23 (f) 1/6 a What is the third smallest value in 1/982, -0.0959, 9/5? 9/5 What is the smallest value in 2/3, -5, 2860831, 4? -5 Which is the fifth biggest value? (a) -3 (b) -128 (c) -0.4 (d) -0.07 (e) 2/9 (f) 7.55 a What is the third biggest value in -10392, -0.2, 5, -5, 0.1? -0.2 What is the sixth biggest value in -4.4798, 6/11, 5, -2, -0.06, -0.2? -4.4798 Which is the sixth smallest value? (a) 3/2 (b) 142 (c) -0.5 (d) 76 (e) 0 (f) -1/15 b Which is the biggest value? (a) -386 (b) -0.1 (c) 4 (d) 42 (e) 0.6 (f) 0 d What is the fourth smallest value in -4/1565, 0.3, 1/5, -2/9, -0.01? 1/5 Which is the third biggest value? (a) -1 (b) -0.972 (c) -10221 c What is the fifth smallest value in 3518, 0.5, 1/5, 27, -32, -2/3? 27 What is the biggest value in 0.1, -1, 5/6, 1/8, -45/157, -2/9? 5/6 Which is the fifth biggest value? (a) -2/20521 (b) 3/2 (c) 0.1 (d) -1 (e) 0 d What is the second smallest value in 1/7, -0.02, 0, 352.1, -3? -0.02 Which is the third biggest value? (a) 1 (b) -0.3 (c) -2307444 (d) 0.1 b Which is the third biggest value? (a) -139782/7 (b) -1 (c) -22/9 a What is the sixth smallest value in 1/1168, -1/8, 7, -3/2714, -2, -2/5, -2/11? 1/1168 What is the third smallest value in -17/232, -4, -0.51, 4? -17/232 What is the smallest value in 2, 5, -986, 2/7, -0.3, 0.4, 6? -986 What is the fourth smallest value in -4, 46, 3/4, 113, -5, -2? 3/4 What is the smallest value in -3, -0.1, -37883, 5/6? -37883 What is the second biggest value in 0.5, 3, -3/7, -893? 0.5 What is the second biggest value in -7975, -3, -0.8448? -3 Which is the second smallest value? (a) 659942 (b) -1/5 (c) -324 (d) 0.5 b What is the smallest value in 3/2, 355111, 0.2, -0.5, -5? -5 What is the fourth smallest value in 24, -10, 0, 30, 3, 4, -0.2? 3 What is the fourth smallest value in -2, 22/117, -13/4, -2/513, -0.5? -2/513 What is the biggest value in -154, -437, -4? -4 Which is the biggest value? (a) -1.5 (b) -20208 (c) -0.5 (d) 2/15 d What is the second biggest value in 0.007, -2/9, -3, 0.5, -4/77? 0.007 Which is the second biggest value? (a) -27/5 (b) -5/477 (c) 68 b What is the biggest value in -2.1, -18, -6, 7/11, -4, -1/2? 7/11 What is the biggest value in -241264, -0.9, -0.14? -0.14 Which is the fourth smallest value? (a) 1/5 (b) 103 (c) -0.5 (d) -1 (e) 0.1 (f) -49/13 (g) 2 e Which is the third smallest value? (a) -0.091 (b) 0.02 (c) -19050 (d) -4 a What is the second biggest value in -2, -23.51, 20, 0.03? 0.03 What is the fourth smallest value in -2/13, 28/3, -1, 10548, 0.5? 28/3 Which is the biggest value? (a) -172 (b) 0 (c) -2 (d) 1153 d Which is the third smallest value? (a) 19502 (b) 269 (c) 2/3 (d) -0.3 b Which is the third biggest value? (a) 0.1 (b) 3039 (c) 0 (d) 2 (e) -11 a What is the third smallest value in -303, -2, -0.8, -0.1097? -0.8 What is the seventh biggest value in 2/11, -0.19, 45, -0.3, 125/6, -0.11, -0.5? -0.5 What is the second biggest value in 1/4, -1/4, 2/13665, -5, 6? 1/4 Which is the second smallest value? (a) 1 (b) 1/39 (c) 1/4 (d) 2 (e) 5 (f) 121 (g) -15 b What is the third biggest value in -1/2, 1233, 1/5, 0.02, 0.04, -2? 0.04 Which is the second biggest value? (a) -2189 (b) -33 (c) 1183 b What is the third biggest value in 1/3, -247/82, -21/4? -21/4 What is the third biggest value in 0, 6, -988425? -988425 What is the fourth biggest value in -197088, -0.5, -0.2, 0.08, -2/5? -0.5 Which is the biggest value? (a) 2 (b) 5 (c) 1 (d) 49 (e) 510 (f) -1126 e What is the third biggest value in -2/25, 0.9, -61579/5, -0.4? -0.4 What is the fourth biggest value in -7/5, -32, -3, -1/9, 48, -0.2? -7/5 Which is the second smallest value? (a) 253/4 (b) 1/35 (c) 6/29 (d) -0.4 b Which is the fourth smallest value? (a) -0.04 (b) 2/63 (c) -2/5 (d) -164101 b What is the fifth biggest value in 2, -4, -5422, 0.3, 132? -5422 Which is the fifth biggest value? (a) -8591/23 (b) 0 (c) -14 (d) 5 (e) 0.5 a What is the smallest value in -3, -1, 0.249, 2/4261? -3 What is the third smallest value in 3/17, -1.8, 3, 458.4? 3 What is the fourth biggest value in -2/75, 2/15, -386, 4633/5? -386 Which is the second smallest value? (a) 83 (b) 141 (c) 24 a What is the second biggest value in -429442, 1, -2/19, 131? 1 What is the fifth smallest value in -19, 0.4, -0.4, 1, -22/3, -2? 0.4 What is the sixth biggest value in 12.9, 22, -12, -4, -1/5, -2? -12 What is the seventh biggest value in -0.2, -5, 6, 5, 2, 87, -2/19? -5 What is the fourth smallest value in -4/9, 2, 9, 51903, -4, -0.4, 0.4? 0.4 Which is the second smallest value? (a) -8788/35 (b) -3 (c) -22 (d) 0.3 c Which is the fourth smallest value? (a) 54 (b) -4 (c) 1 (d) 1035 (e) -23 (f) 4/7 c Which is the smallest value? (a) 249.56 (b) 5 (c) 43.83 b What is the smallest value in 4, 1/6, -60.007? -60.007 What is the second smallest value in 0.5, -0.32, 17, 2/7, -1.1, -2194, 3? -1.1 What is the second biggest value in 3, -1, -1/5, 259, -21.5, 0? 3 Which is the fifth biggest value? (a) -0.2 (b) -1.53 (c) 66 (d) 3 (e) 26 (f) 1/2 a Which is the second biggest value? (a) 1/75 (b) 2225651 (c) 4 c What is the smallest value in -1/4, -3/4, 186232/15, -3/8? -3/4 What is the second smallest value in 2/5, -2.41, -2/85, -14? -2.41 What is the third smallest value in -329, 0.4, -0.0124? 0.4 Which is the fourth biggest value? (a) -22/157 (b) -5 (c) -1 (d) 3 (e) -0.3 (f) 38 e Which is the fourth smallest value? (a) 2 (b) 2282 (c) 2/9 (d) -0.4 (e) -146 (f) 0.8 (g) -4 c Which is the second biggest value? (a) 1 (b) 0 (c) -3 (d) 2/31 (e) 2/9 (f) -38 e What is the seventh smallest value in -0.5, 0.5, -3, -4/5, 87, 58, 0.055? 87 Which is the fourth smallest value? (a) -5 (b) 16 (c) 1285 (d) -21 (e) 0.4 b Which is the fourth biggest value? (a) 1/2 (b) -4 (c) -2/93 (d) -2/7 (e) 64559 d What is the smallest value in 4.15, 0.3, 4, -269, 96? -269 What is the third biggest value in 13, -862510, 5, -2/7? -2/7 What is the third biggest value in 0.4, 3/7, 0, -1176, 1, -0.2, -2/17? 0.4 Which is the second biggest value? (a) 86 (b) 1 (c) 0.6 (d) -18 (e) -5 b What is the fourth smallest value in 1/71, -0.1, 0.4, -2, -30/37, -0.2, -6/5? -0.2 What is the biggest value in 2/9, -0.15, -6, 1363595? 1363595 Which is the second smallest value? (a) 81/10 (b) 111 (c) 1/22 a Which is the second smallest value? (a) -2512770 (b) 30 (c) 4 c What is the second smallest value in 290, 0.3, 978, 3.6? 3.6 What is the second biggest value in 0.19412, 0.1, 2/5, -5, -0.2? 0.19412 What is the third smallest value in 3, 57120, 169? 57120 What is the biggest value in -0.53, -5, -0.067, 0.027, 4? 4 What is the fifth smallest value in -2/9, 20, 1/99, -4, -3, 2/11? 2/11 Which is the fifth smallest value? (a) 0.07 (b) 1/13 (c) 81 (d) -1/11 (e) 7 (f) 4 e What is the third biggest value in -50/3, -14.32, 2, -4? -14.32 Which is the fourth biggest value? (a) -0.5 (b) -38160 (c) 75/8 (d) -0.1 b Which is the third biggest value? (a) 16 (b) -1/2 (c) -1 (d) -2/17 (e) 0 (f) -159590 d Which is the fourth smallest value? (a) -0.5 (b) 3 (c) -1638 (d) -2/17
{ "pile_set_name": "DM Mathematics" }
? -6*s**3 - 20*s**2 - 11*s Let y(g) = g**3 + 10*g**2 - 5*g + 1. Let u(a) = -a**3 + 3*a**2 - 2*a - 1. Give 3*u(z) - y(z). -4*z**3 - z**2 - z - 4 Let n be (20/(-30))/((-82)/369 + (-32)/(-90)). Let b(m) = -m**2 - m + 1. Let i(a) = -4*a**2 - 2*a + 1. Calculate n*b(o) + i(o). o**2 + 3*o - 4 Let s(k) = -39*k + 220. Let m(o) = 4*o - 3. Calculate -5*m(l) - s(l). 19*l - 205 Let k(a) = 14*a**2 - 6*a - 11. Let r(s) = -5*s**2 + 2*s + 4. Let v = 14 + 3. Suppose 10*u - 78 = -3*u. Determine u*k(y) + v*r(y). -y**2 - 2*y + 2 Let r(l) = 296*l - 203. Let x(s) = -889*s + 575. What is 17*r(c) + 6*x(c)? -302*c - 1 Let c(k) = -8*k**3 - 79*k**2 - 11*k - 3. Let o(w) = -w**3 - 12*w - 1. Give c(z) - o(z). -7*z**3 - 79*z**2 + z - 2 Let p(r) = -r**3 + r**2 + 1. Let j(t) = 5*t**3 - 6*t**2 - t - 5. Let a be 252/(-840) + (-1)/(20/14). Give a*j(o) - 6*p(o). o**3 + o - 1 Let o(u) = -99*u - 9. Let y(d) = d**3 + 7*d**2 + 35*d + 101. Let g be y(-4). Let n(j) = -25*j - 2. Calculate g*n(v) - 2*o(v). -27*v Let p(q) = -60*q**2 + 2*q - 32. Let a(h) = -62*h**2 + 3*h - 32. Determine -2*a(x) + 3*p(x). -56*x**2 - 32 Let c(v) = 34*v - 30. Let b(a) = -108*a + 91. Determine -6*b(t) - 19*c(t). 2*t + 24 Let h(i) = -387*i**2 - 17*i + 26. Let m(b) = -194*b**2 - 8*b + 12. Give 6*h(o) - 13*m(o). 200*o**2 + 2*o Let u(x) = -288*x**3 + 30*x**2 + 11*x - 57. Let t(l) = -143*l**3 + 16*l**2 + 6*l - 31. Calculate -11*t(d) + 6*u(d). -155*d**3 + 4*d**2 - 1 Let u(v) = 11*v**2 - 4*v + 1. Let m(n) = -13*n**2 + 5*n - 1. Let h(i) = -5*m(i) - 6*u(i). Let l(x) = -15*x**2 - 7*x - 7. Determine 14*h(c) - 2*l(c). 16*c**2 Let x(f) = f**2 - 13*f + 33. Let c be x(2). Let h(v) = -5*v + 4. Let w(d) be the third derivative of -3*d**4/8 + 4*d**3/3 + 16*d**2. Give c*h(u) - 6*w(u). -u - 4 Let i(s) = -3831*s**2 - 9*s + 19. Let u(r) = -957*r**2 - 2*r + 4. What is -2*i(t) + 9*u(t)? -951*t**2 - 2 Let q(j) = j**2 - j + 1. Let m(b) = b**3 - 37*b**2 + 2*b - 68. Let h be m(37). Let r(s) = h*s - 3*s**2 + 63 - 66 + s**2. Give -5*q(f) - r(f). -3*f**2 - f - 2 Let c(b) = 5*b**3 + 2*b**2 - 153*b + 59. Let p(w) = 3*w**3 + w**2 - 102*w + 37. What is 5*c(d) - 8*p(d)? d**3 + 2*d**2 + 51*d - 1 Suppose -4*d = -11*l + 7*l - 8, -d - 23 = 4*l. Let k(z) = -7*z**3 - 3*z - 3. Let b(n) = -8*n**3 - 4*n - 4. Give d*b(p) + 4*k(p). -4*p**3 Let d(u) = -9*u**2 - 17*u. Let n(b) be the second derivative of b**4/4 + b**3 - 435*b. Calculate 6*d(m) + 17*n(m). -3*m**2 Let y(a) = -6*a + 10. Let h(o) = -2*o + 3. Let u(n) = 308*n + 15408. Let v be u(-50). Determine v*h(m) - 3*y(m). 2*m - 6 Let p(a) = 9*a**3 - 6*a**2 + 356*a. Let y(z) = -2*z**3 + 2*z**2 - 118*z. Give -2*p(o) - 7*y(o). -4*o**3 - 2*o**2 + 114*o Let c(o) = -7*o**2 + 21*o - 180. Let f(s) = 6*s**2 - 17*s + 185. Determine 5*c(d) + 6*f(d). d**2 + 3*d + 210 Let u(q) = -2*q + 2. Let d(y) = 59*y - 17. Determine d(x) - 3*u(x). 65*x - 23 Let r(w) = 17*w - 25 - 25 + 14 + 52 - 22. Let m(z) = -8*z + 3. Suppose -n - 52 = 3*n. What is n*m(i) - 6*r(i)? 2*i - 3 Suppose -9*i - 8*i - 9 = -128. Let h(z) = -50*z + 1. Let b(d) = -17*d. What is i*b(w) - 2*h(w)? -19*w - 2 Let j(s) = -3*s + 1. Let w(o) = -31*o**2 - 64*o + 14. What is 12*j(h) - w(h)? 31*h**2 + 28*h - 2 Let z = 3398 - 3392. Let u(k) = -12*k**2 + 3*k. Let y(p) = 36*p**2 - 10*p. Calculate z*y(r) + 20*u(r). -24*r**2 Suppose -4067*j + 4050*j - 153 = 0. Let v(t) = 13*t + 50. Let f(y) = 6*y + 25. Give j*f(s) + 4*v(s). -2*s - 25 Let g(u) = 9*u - 1. Let s(v) = 79*v - 10. Calculate 4*g(b) - s(b). -43*b + 6 Let i(v) = -3*v - 12*v + 2*v - 22 + 15*v - 6*v. Let m(d) = 5*d + 23. Give -7*i(z) - 6*m(z). -2*z + 16 Suppose -4*o + 4 = -3*h, h + h + 2*o - 16 = 0. Let s(x) = 0*x + 12 + 21*x - 8 - 16*x - 9. Let g(n) = 14*n - 15. What is h*g(d) - 11*s(d)? d - 5 Let j(k) = 5*k**3 + 8*k**2 + 4*k - 374. Let g(m) = m**3 + 2*m**2 + m - 1. What is -4*g(f) + j(f)? f**3 - 370 Let u(l) = -53*l - 58. Let k(n) = -112*n - 114. What is -6*k(q) + 11*u(q)? 89*q + 46 Let i(g) = -13*g**3 + 3*g**2 - 141*g - 3. Let a(n) = 11*n**3 - 2*n**2 + 135*n + 2. Give 3*a(r) + 2*i(r). 7*r**3 + 123*r Let q = -71 + 41. Let l be 11/22*7/(21/q). Let s(d) = 3*d**3 - 9*d + 5. Let u(o) = -3*o**3 + 10*o - 6. Determine l*u(t) - 6*s(t). -3*t**3 + 4*t Let r(w) = -176*w - 171. Let p be r(-1). Let u(t) = -2*t - 5. Let q(d) = d. Let n be q(5). Let f(j) = -2*j - 21 - 2*j - n*j. Calculate p*f(k) - 21*u(k). -3*k Let q(c) = c**3 - c**2. Suppose -4*a + 63 = 4*l - 1, -5*a = -2*l + 46. Let u(f) = 10*f**3 - 9*f**2 + 3*f. What is l*q(s) - 2*u(s)? -2*s**3 - 6*s Let i(s) = -441*s**2 + 4. Let k(x) = -1321*x**2 + 11. Give -11*i(u) + 4*k(u). -433*u**2 Let y(z) = -3389*z**2 - 5*z. Let o(d) = 13498373*d**2 + 19914*d. What is 5*o(l) + 19914*y(l)? 3319*l**2 Let a(m) = -5*m**2 + 0*m + 0*m + 4 - 2*m**3. Let y(f) = 3*f**3 + 9*f**2 - 7. Suppose 0 = -163*p - 328*p + 830 - 3285. Give p*a(k) - 3*y(k). k**3 - 2*k**2 + 1 Suppose 5*n - 168 = -7*n. Let y(z) be the first derivative of -z**2/2 - z - 22. Let a(b) = 8*b + 8. Give n*y(q) + 2*a(q). 2*q + 2 Let i(q) = -2 - 12*q + 4 - 5*q**2 + 0 + 16*q. Let w(c) = -6*c**2 + 5*c + 2. Suppose 0 = 11*b + 2*b - 91. Calculate b*i(p) - 6*w(p). p**2 - 2*p + 2 Let n(c) = 38*c**3 + c**2 + c + 7. Let d(u) = -26*u**3 - u - 4. Let y(g) = -8*d(g) - 5*n(g). Let t(p) = 53*p**3 - 14*p**2 + 8*p - 8. Calculate -3*t(b) + 8*y(b). -15*b**3 + 2*b**2 Let j(f) = 17*f**2 + f - 1. Let i(u) = -218*u**2 - 8*u + 8. What is 2*i(s) + 26*j(s)? 6*s**2 + 10*s - 10 Let w(b) be the second derivative of b**4 - b**3/3 + b**2/2 + 7729*b. Let c(x) = -24*x**2 + 5*x - 2. Determine -3*c(i) - 7*w(i). -12*i**2 - i - 1 Let a(v) be the third derivative of -v**6/120 - v**5/60 - v**4/24 - v**3/6 - 2*v**2 - 1281. Let l(m) = -22*m**3 - 8*m**2 - 8*m - 8. Determine 8*a(j) - l(j). 14*j**3 Let a = -12750 - -12746. Let y(g) = 90*g. Let f(m) = 13*m. What is a*y(d) + 27*f(d)? -9*d Let q(n) = 6*n**2 - 9. Let s be q(-1). Let g(r) = -r**2 + r - 3. Let w be g(0). Let y(i) = -1. Let b(a) = -a + 1. Give s*b(f) + w*y(f). 3*f Let y(j) = -39*j**2 + j - 98. Let c(o) = -58*o**2 + o - 142. What is 7*c(d) - 10*y(d)? -16*d**2 - 3*d - 14 Let f(y) = -4*y**2 - 3. Let j(w) be the first derivative of w**3/3 + w - 35. Suppose -2*i = 4*i - 72. Calculate i*j(l) + 4*f(l). -4*l**2 Let c(f) = 6293*f + 131. Let q(x) = -2097*x - 49. Give -3*c(y) - 8*q(y). -2103*y - 1 Let i(b) = b**3 + 2*b. Let y(x) = 335*x**3 - 402*x. Give -402*i(p) - 2*y(p). -1072*p**3 Suppose 13 - 37 = 27*y - 19*y. Let i(o) = o**2 + o - 1. Let k(t) = 4*t**2 + 2*t - 5. Give y*i(d) + k(d). d**2 - d - 2 Let v(x) = 62610578*x**2 - 72604. Let k(j) = 5174*j**2 - 6. Determine 36302*k(o) - 3*v(o). -5186*o**2 Suppose 3*z = 4*i + 106, 5*z - 36 + 158 = -4*i. Let t(w) = -6*w + 14. Let n(m) = m - 1. Give i*n(d) - 2*t(d). -16*d Let n(i) = -12*i**2 + 30*i + 24. Let m(k) = 11*k**2 - 30*k - 35. Give -2*m(l) - 3*n(l). 14*l**2 - 30*l - 2 Let c(w) = -w**3 + w**2 - w. Let z(f) = 6*f**3 + 3*f + f - 2*f - 2*f**2. Suppose 0 = -45*q - 10 - 7 - 28. Give q*z(u) - 2*c(u). -4*u**3 Let b(q) = 2*q + 5. Let c(r) be the first derivative of 3*r**2/2 + 9*r + 2487. Determine 10*b(a) - 6*c(a). 2*a - 4 Let p(a) = 8*a - 2. Let l(d) = -5*d - 407. Let s(r) = r + 74. Let h(x) = -2*l(x) - 11*s(x). Give 5*h(o) - p(o). -13*o + 2 Let n(c) = -10498*c**2 + 6*c + 10496*c**2 - 2*c. Suppose 5*m - 47 + 17 = 0. Let d(k) = m*k + 0*k**2 - 3*k**2 + k. Calculate 4*d(i) - 7*n(i). 2*i**2 Let f(d) = -26*d + 7. Suppose -53*j + 51*j + 2*q = -4, 3*q + 3 = 2*j. Let v(a) = -13*a + 3. What is j*f(k) - 7*v(k)? 13*k Let j(u) = 126*u + 5. Let i(w) = -255*w - 9. Give 4*i(t) + 7*j(t). -138*t - 1 Let o(p) = -32*p**2 + 11*p. Let a be -4*2/(0 - -2). Let h(d) be the third derivative of 11*d**5/60 - d**4/6 + 4*d**2 - 564. Calculate a*o(i) - 11*h(i). 7*i**2 Let h(y) = 2*y**2 + y + 1. Let x(r) = -212*r**2 + 7*r + 11. What is 6*h(z) - x(z)? 224*z**2 - z - 5 Let t(d) = -5*d. Suppose -h + 14 = -b, -4*h + 6 = -5*h - 3*b. Suppose a + h = -2*q, 2*q - a + 8 + 7 = 0. Let x(u) = u. What is q*x(k) - 3*t(k)? 9*k Let g(r) = 189*r**2 - 100*r**2 + 3*r**3 + 0 - 1 - 93*r**2 + 6*r**3. Let c(m) = 9*m**3 - 3*m**2. Determine 4*c(i) - 3*g(i). 9*i**3 + 3 Let h(l) = 764*l**3 - 9*l**2 - 3*l - 3. Let d(c) = 1527*c**3 - 15*c**2 - 5*c - 5. Calculate 3*d(i) - 5*h(i). 761*i**3 Let l(f) = 8*f + 3. Let y(z) = 8*z + 4. Suppose 0 = a -
{ "pile_set_name": "DM Mathematics" }
actor of 168 and 1. 1 Calculate the greatest common factor of 46 and 2. 2 Calculate the highest common factor of 275 and 22. 11 Calculate the highest common divisor of 110 and 20. 10 Calculate the greatest common factor of 207 and 12351. 69 Calculate the highest common factor of 1434 and 24. 6 Calculate the highest common factor of 1133 and 33. 11 Calculate the greatest common factor of 22 and 176. 22 Calculate the highest common factor of 247 and 57. 19 What is the greatest common factor of 377 and 116? 29 What is the greatest common divisor of 27 and 3? 3 What is the highest common divisor of 295 and 60? 5 What is the highest common divisor of 1 and 467? 1 What is the highest common divisor of 28 and 434? 14 Calculate the greatest common factor of 325 and 13. 13 What is the greatest common factor of 708 and 649? 59 Calculate the greatest common factor of 1221 and 429. 33 What is the greatest common factor of 72 and 45? 9 What is the highest common factor of 20 and 270? 10 Calculate the highest common factor of 124 and 155. 31 What is the greatest common divisor of 265 and 95? 5 What is the greatest common factor of 1045 and 55? 55 Calculate the highest common factor of 59 and 472. 59 What is the greatest common factor of 480 and 165? 15 Calculate the greatest common divisor of 506 and 1127. 23 Calculate the highest common factor of 30 and 1686. 6 What is the highest common factor of 5152 and 196? 28 Calculate the greatest common factor of 481 and 555. 37 Calculate the greatest common divisor of 2 and 142. 2 What is the highest common divisor of 25507 and 23? 23 What is the greatest common divisor of 224 and 6832? 112 What is the highest common divisor of 50 and 130? 10 What is the greatest common divisor of 5698 and 385? 77 Calculate the highest common factor of 629 and 68. 17 Calculate the highest common divisor of 33 and 792. 33 Calculate the highest common factor of 10704 and 48. 48 What is the highest common divisor of 308 and 84? 28 What is the greatest common divisor of 98 and 4508? 98 Calculate the highest common divisor of 1026 and 114. 114 What is the greatest common divisor of 114 and 437? 19 What is the highest common divisor of 980 and 11620? 140 What is the greatest common factor of 8045 and 5? 5 What is the greatest common factor of 423 and 18? 9 Calculate the highest common factor of 660 and 88. 44 What is the highest common factor of 26 and 1573? 13 What is the highest common factor of 5982 and 12? 6 Calculate the greatest common divisor of 24 and 60. 12 What is the greatest common factor of 169 and 65? 13 Calculate the greatest common divisor of 544 and 24. 8 What is the highest common divisor of 325 and 26? 13 What is the greatest common divisor of 80 and 80720? 80 What is the highest common divisor of 120 and 50? 10 Calculate the greatest common divisor of 111 and 296. 37 What is the greatest common divisor of 42 and 462? 42 What is the greatest common factor of 38 and 8512? 38 Calculate the highest common factor of 92 and 207. 23 Calculate the highest common divisor of 195 and 637. 13 Calculate the greatest common divisor of 6 and 178. 2 What is the greatest common factor of 18236 and 47? 47 Calculate the highest common divisor of 1045 and 55. 55 What is the highest common divisor of 666 and 481? 37 What is the greatest common divisor of 213 and 1775? 71 What is the highest common factor of 2 and 399? 1 What is the highest common factor of 21 and 588? 21 Calculate the highest common factor of 100 and 340. 20 What is the greatest common divisor of 125 and 1125? 125 What is the greatest common factor of 56 and 49? 7 What is the greatest common factor of 2853 and 171? 9 What is the highest common factor of 180 and 80? 20 Calculate the highest common factor of 22 and 2926. 22 What is the greatest common factor of 250 and 650? 50 Calculate the highest common factor of 88 and 352. 88 Calculate the highest common divisor of 324 and 72. 36 Calculate the highest common divisor of 644 and 112. 28 Calculate the greatest common divisor of 5590 and 7740. 430 Calculate the highest common divisor of 5678 and 646. 34 What is the highest common divisor of 3749 and 815? 163 Calculate the highest common factor of 2 and 57. 1 Calculate the greatest common divisor of 64 and 56. 8 Calculate the highest common divisor of 14393 and 37. 37 Calculate the greatest common divisor of 329 and 63. 7 Calculate the highest common divisor of 5999 and 14. 7 Calculate the greatest common factor of 808 and 2323. 101 Calculate the highest common divisor of 110 and 88. 22 Calculate the greatest common divisor of 720 and 18. 18 What is the greatest common divisor of 135 and 5? 5 What is the highest common divisor of 2034 and 18? 18 What is the highest common divisor of 102 and 714? 102 What is the greatest common factor of 160 and 24? 8 What is the highest common factor of 1300 and 52? 52 What is the highest common factor of 253 and 77? 11 What is the highest common factor of 36 and 132? 12 What is the greatest common factor of 401 and 2? 1 Calculate the greatest common factor of 130 and 70. 10 Calculate the highest common factor of 20 and 4. 4 What is the greatest common factor of 55 and 5? 5 Calculate the greatest common factor of 70 and 6608. 14 Calculate the greatest common divisor of 47 and 29093. 47 What is the highest common factor of 11 and 8? 1 Calculate the greatest common factor of 204 and 240. 12 Calculate the greatest common divisor of 279 and 18. 9 Calculate the highest common factor of 1870 and 560. 10 Calculate the highest common factor of 96 and 3840. 96 Calculate the greatest common factor of 22095 and 45. 45 Calculate the highest common factor of 459 and 81. 27 Calculate the greatest common divisor of 5 and 235. 5 Calculate the greatest common divisor of 4884 and 132. 132 Calculate the highest common divisor of 81 and 135. 27 What is the highest common divisor of 57 and 247? 19 Calculate the highest common factor of 1246 and 534. 178 Calculate the highest common factor of 963 and 18. 9 What is the greatest common divisor of 1190 and 170? 170 Calculate the greatest common divisor of 23076 and 12. 12 What is the greatest common factor of 559 and 91? 13 What is the greatest common factor of 4 and 204? 4 What is the greatest common divisor of 7660 and 160? 20 Calculate the greatest common divisor of 2133 and 1027. 79 Calculate the greatest common divisor of 36 and 126. 18 What is the greatest common divisor of 61 and 8845? 61 What is the highest common factor of 24 and 1740? 12 Calculate the greatest common factor of 4440 and 180. 60 Calculate the greatest common factor of 56 and 3332. 28 What is the greatest common factor of 48 and 42? 6 Calculate the greatest common divisor of 1010 and 2222. 202 Calculate the greatest common divisor of 675 and 50. 25 Calculate the greatest common divisor of 36 and 8334. 18 Calculate the highest common factor of 370 and 148. 74 What is the greatest common divisor of 40 and 16? 8 Calculate the highest common divisor of 294 and 84. 42 What is the greatest common factor of 401 and 2? 1 What is the greatest common factor of 104 and 988? 52 Calculate the greatest common divisor of 847 and 1617. 77 What is the greatest common divisor of 17 and 765? 17 Calculate the highest common factor of 12 and 10068. 12 Calculate the highest common divisor of 45 and 1515. 15 What is the highest common factor of 75290 and 10? 10 Calculate the highest common divisor of 28 and 756. 28 Calculate the greatest common divisor of 3811 and 515. 103 What is the greatest common divisor of 312 and 2? 2 Calculate the highest common divisor of 6640 and 32. 16 Calculate the greatest common divisor of 68 and 2244. 68 Calculate the highest common divisor of 91 and 49. 7 What is the greatest common divisor of 288 and 9696? 96 Calculate the greatest common factor of 702 and 26. 26 Calculate the greatest common divisor of 665 and 385. 35 Calculate the highest common divisor of 8319 and 6. 3 Calculate the greatest common divisor of 368 and 1. 1 Calculate the greatest common divisor of 115 and 2185. 115 What is the greatest common factor of 285 and 665? 95 What is the highest common factor of 28 and 71876? 28 What is the greatest common factor of 1
{ "pile_set_name": "DM Mathematics" }
or of x and 80. 16 Suppose -2*q = -0*q. Suppose 7*k - 2*a - 546 = 2*k, q = -5*k + 3*a + 544. Suppose -6 + 46 = 4*b. Calculate the highest common factor of b and k. 10 Let h(b) = b**2 - b + 1. Let m be h(-3). Calculate the highest common factor of m and 26. 13 Let b be (96 - 101) + 3/(6/88). Let x = 14 - 1. What is the highest common factor of b and x? 13 Suppose -4*m + 0*m + 3*c + 25 = 0, 5*m - 4*c - 32 = 0. Calculate the highest common factor of 8 and m. 4 Let k = -11 - -17. What is the greatest common factor of 42 and k? 6 Let m = 13 - 5. Suppose -3*j + 13 = -m. Suppose 0 = q - 2*v - 20 - 19, 3*q = 3*v + 132. What is the highest common factor of q and j? 7 Let b = -3 + 8. Let y = 8 - b. Suppose 8*o - y*o - 5 = 0. Calculate the highest common factor of o and 1. 1 Let j(z) = -z**2 + 2*z + 5 + 3*z**2 - 2. Let l be j(-2). What is the greatest common factor of l and 21? 7 Let w = 6 - 7. Let p be (42/49)/(w/(-49)). Calculate the highest common divisor of p and 28. 14 Let r be (-18)/4*(-60)/27. Calculate the greatest common factor of r and 10. 10 Let z be -98*2/(-1 + -1). What is the highest common divisor of 14 and z? 14 Let y = 68 + -64. Calculate the highest common divisor of 4 and y. 4 Let n = 11 - -1. Let h(x) = x**2 + 7*x. Let a = -11 + 3. Let q be h(a). What is the highest common divisor of n and q? 4 Suppose -v - 9 = k - 3*k, 3*v = -k + 8. Calculate the highest common divisor of k and 1. 1 Let f be (5/10)/1*4. What is the greatest common factor of 14 and f? 2 Suppose 0 = p + 3*x - 5, -10 = 5*x. Let t(v) = 34*v - 3. Let o be t(3). Calculate the greatest common divisor of o and p. 11 Let g be ((-2)/3)/(2/(-48)). Let d(u) = -2*u**3 - 6*u**2 + 31*u + 132. Let x be d(-4). What is the highest common divisor of g and x? 8 Suppose -4*g = 4*w - 104, g = 4*w - 0*w + 36. Let v be g/3 + 3/(-9). Suppose 0 = 4*z - 311 - v. What is the highest common divisor of 32 and z? 16 Let j be 1/(-2 + 195/96). What is the highest common factor of j and 256? 32 Let l be (-6)/(-8) + 2/8. Let g = 22 - 11. Calculate the highest common divisor of g and l. 1 Let c be 20/(-6)*(-54)/15. Suppose -o + 90 = 5*a, -3*o = 3*a + 2*o - 32. Let l = a - c. What is the highest common divisor of l and 21? 7 Suppose 8*i - 954 = 1734. What is the highest common factor of 42 and i? 42 Let v(z) = -41*z + 7. Let a be v(-4). What is the highest common factor of 19 and a? 19 Let f = 8 + -8. Let t(s) = 359*s - 2. Let u be t(2). Suppose 5*c - u + 166 = f. What is the highest common factor of c and 10? 10 Let s = 15 - -6. Suppose -14 = -4*w + 3*w. What is the greatest common factor of s and w? 7 Suppose 4*a - 13 + 3 = 5*j, 0 = 4*a - j - 18. Suppose -4*l - a*d = -136, 4*l + d = 3*l + 35. Calculate the greatest common divisor of l and 26. 13 Suppose 3*v = -0*v + 108. Calculate the highest common divisor of v and 12. 12 Let c = 0 + 5. Suppose 4*p - 39 = c. What is the highest common divisor of 11 and p? 11 Let n(a) = -a**2 + 7*a + 8. Let b be n(7). Suppose 2*v - 40 = -2*v. Let u be 2254/35 - 4/v. What is the greatest common divisor of b and u? 8 Suppose -3 = 5*g - 8. Let z be (0 + g + 4)/1. Suppose 3*q - 362 = -5*c + 3*c, 3*c = -z*q + 541. What is the greatest common divisor of 17 and c? 17 Suppose 12 + 3 = 5*l. Suppose 2*c - 3*b - 297 = -c, l*c + 5*b = 337. What is the highest common factor of 26 and c? 26 Suppose -x - 22 = -3*x. Suppose -3*f = 9, -23 = -s + f + 134. Let m be 0/2 + s/2. What is the greatest common factor of x and m? 11 Suppose -4*m + 16 = 3*a - 0*a, 2*m = a + 18. Suppose -2*t = -7*t + 210. What is the greatest common divisor of t and m? 7 Let i be 10*(1 + -4 - -4). What is the greatest common divisor of i and 25? 5 Suppose -w + 3 = -3*z + 15, 3*z - 12 = -5*w. Suppose 0 = -3*k - w*k + 231. Calculate the highest common divisor of 7 and k. 7 Suppose -4 = 5*v + 16. Let z(i) = -5*i. Let j be z(v). What is the highest common divisor of 8 and j? 4 Let a(z) = -2*z + 9. Let x be (-182)/(-49) - (-4)/14. Let c be a(x). Calculate the highest common factor of 2 and c. 1 Let y be (-3 + (-9 - 2))*-5. What is the highest common factor of y and 56? 14 Let z = 37 + -21. Calculate the highest common divisor of 16 and z. 16 Let z = -8 + 5. Let f be -1 + z/(-1) + 38. What is the greatest common divisor of f and 10? 10 Let f be (-10)/(-6)*(2 + 4). Calculate the highest common factor of 2 and f. 2 Let h(j) = 4 + 5*j**2 - 3 + 0 - j - 2*j**2. Let d be h(-2). Calculate the greatest common divisor of d and 10. 5 Suppose -3*o = -6*o - 75. Let p = -11 - o. Let i be (p/(-4))/((-1)/2). Calculate the highest common factor of i and 21. 7 Let t = -9 - -10. What is the greatest common divisor of 2 and t? 1 Let k be (-2)/(-4) - 63/(-6). Let l be (12/3)/(8/28). Let c = -3 + l. Calculate the greatest common divisor of k and c. 11 Let j be (15 - -2)/(3/24). Suppose 114 - 14 = 5*m + 3*x, 4*x + 14 = 2*m. Calculate the highest common factor of j and m. 17 Suppose -s + 5*n - 22 = -3*s, 5*s + 4*n = 72. Let o = s - 8. Calculate the highest common divisor of o and 40. 8 Let i = 41 - 35. Calculate the greatest common divisor of 9 and i. 3 Let a be -15*(-4)/6*(-36)/(-20). Calculate the greatest common divisor of 144 and a. 18 Let f = -51 - -87. Suppose -4*r + 12 = 2*g - 3*g, 0 = -5*r + 20. Calculate the greatest common factor of g and f. 4 Let i = -38 + 90. Calculate the highest common divisor of i and 4. 4 Let q be 0 - 12/9*-3. Suppose -q*h + 36 + 84 = 0. What is the greatest common factor of 75 and h? 15 Suppose 0*h + 4*h + 28 = 0. Let r(b) = -b**3 - 7*b**2 - 7*b + 7. Let i be r(h). Calculate the highest common divisor of i and 8. 8 Suppose s + 3*s - 16 = 0. Let q(n) = 2*n - 2. Let a be q(s). Let d = a - 4. Calculate the greatest common factor of d and 16. 2 Let s(h) = -h**3 + 6*h**2 - h + 6. Let l be s(4). Calculate the highest common factor of l and 34. 34 Let q = -12 + 23. Suppose -3*b = -j - 13 - q, 5*b - 40 = 2*j. What is the greatest common divisor of b and 20? 4 Let x(v) = -v**2 - 11*v + 11. Let g be x(-12). Let y be (-33)/(0 + -3) - g. Calculate the highest common factor of y and 60. 12 Suppose -5*o = p - 26, 17 + 3 = 5*o - 5*p. Suppose -q + 2 = o*l - 13, l - 2*q + 8 = 0. Suppose j + 4*j - 30 = 0. What is the greatest common divisor of j and l? 2 Suppose 2*a = -3*a. Let f be 1 + a + (0 - -4). Calculate the highest common divisor of 30 and f. 5 Suppose -24 + 109 = 2*f - 5*p, -2*f + 4*p = -80. Calculate the greatest common divisor of 330 and f. 30 Let n = 129 - 9. Calculate the highest common factor of 24 and n. 24 Let w(c) = -c**2 + c + 362. Let y be w(0). Let r = -241 + y. Let l be (6/4)/(6/44). Calculate the highest common divisor of l and r. 11 Suppose 2*b - 30 - 5 = -f, -191 = -5*f - 2*b. Calculate the highest common factor of 26 and f. 13 Suppose 0 = 4*f + 2*c + 2 + 2, -3*c - 12 = 0. Let i be 2/(((-4)/(-210))/f). Let j = 14 + 1. Calculate the greatest common factor of j and i. 15 Suppose p - 3*f - 57 = 0, 5*p - f = 398 - 141. What is the highest common divisor of 34 and p? 17 Let m(t) = 2*t**2 - t. Let p(f) = -f**2 + f - 1. Let n(z) = -2*m(z) - 2*p(z). Let i be n(3). Let x = -8 - i. What is the greatest common factor of x and 56? 8 Let g(p) = 24*p**3 + 2*p**2 - p. Let w be g(1). Suppose -3*u - a + w = 2, 5*a - 31 = -u. Calculate the greatest common factor of u and 24. 6 Suppose 4*d - 8 = -4*s, 4*d = -4*s + 6*s - 4. Calculate the greatest common factor of s and 12. 2 Let p = -10 - -12. Let r be (-8 - p)/((-2)/4). What is the highest common divisor of r and 140? 20 Let z = -4 - -6. Let c be 36 + -2 + z + -3. Calculate the highest common factor of c and 3. 3 Let y(p) = p**3 + 15*p**2 - 16*p + 10. Let g be y(-16). Calculate the highest common divisor of 4 and g. 2 Let l be 278/1 + 0/(-1). Suppose d = -2*h - d + l, 4 = d. What is the greatest common divisor of h and 15? 15 Suppose 3*g - 1900 = -5*k, -5*g + 1161 - 37 = 3*k. Let h = 572 - k. What is the greatest common factor of h and 21? 21 Let h = 20 - 14. Let j = h - 0. Calculate the highest common factor of j and 12. 6 Let u(j) = 4*j - 6. Let c be u(7). Calculate the greatest common factor of 2 and c. 2 Let s be 18/27 - 25/(-3). Calculate the highest common factor of 45 and s. 9 Suppose 3*m = -0*m - 6. Let x be ((-30)/m - 1) + 0. Suppose -3*s - 3*y + 99 = 0, 1 -
{ "pile_set_name": "DM Mathematics" }
t is q rounded to five dps? -0.00029 Let g = 44.2 - -391.8. Let o = -435.99999214 + g. What is o rounded to 6 dps? 0.000008 Let q = -823703 - -822872.5656. Let c = -830 - q. Round c to one decimal place. 0.4 Let p = -315.88 + 317. Let h = p + -1.0026. What is h rounded to two decimal places? 0.12 Let w = 0.0558 + 3590.9442. Let q = w - 3593.881. Let y = 2.9 + q. What is y rounded to two decimal places? 0.02 Let n = -224.58937 - 0.18363. Let p = -224.613 + -0.387. Let m = n - p. Round m to two decimal places. 0.23 Suppose 34 = -f + 45. Let k(u) = -1714*u**3 + 13*u**2 - 21*u - 8. Let g be k(f). What is g rounded to the nearest 1000000? -2000000 Let i = -300.3547 - -300.5. Round i to two decimal places. 0.15 Let q = -0.073 - 234.647. Let w = q - -235. What is w rounded to zero decimal places? 0 Let y = -92 - -22. Let f = -156 - y. Let q = f - -85.99008. Round q to three decimal places. -0.01 Suppose 114*s + 117*s = 227*s - 260456000. Round s to the nearest 1000000. -65000000 Let w = 8.1129 - 8.1. Let p = -2.4729 + w. What is p rounded to 1 decimal place? -2.5 Suppose 2*z + 384 - 2371 = -v, -2*v + z + 3979 = 0. Let q(f) = -2015*f - 23 - v*f + 39. Let c be q(4). What is c rounded to the nearest 10000? -20000 Let h = 38 + -34. Suppose -a + 4*m = 3*a - 2984, 0 = -h*a - 2*m + 2966. Suppose -4*j - 5 = -4*g + a, -g = 3. Round j to the nearest ten. -190 Let p be 3599*((-1)/5)/(8/(4 + -44)). Round p to the nearest 100. 3600 Let o = -38.4 + -521.8. Let u = -560.2002759 - o. What is u rounded to 5 decimal places? -0.00028 Let f = 15.6 + -15.600015225. What is f rounded to seven decimal places? -0.0000152 Suppose 5*i - 31 = -k - 3*k, -49 = -5*k + 4*i. Suppose k*d + 5118 = 3*b + 4*d, 3*d = -b + 1720. What is b rounded to the nearest one hundred? 1700 Let f = 498616.151951 - 95116.342366. Let m = f + -403501. Let j = m - -1.19. Round j to 5 decimal places. -0.00042 Suppose 17*u + 14 = 65. Suppose 2*a = -3*b - b + 747998, u*a = -5*b + 934997. What is b rounded to the nearest one hundred thousand? 200000 Let m = 13620 + -20707. Let t = m - -7087.004373. Round t to 4 dps. 0.0044 Let a = -609083656.8202 + 609386497. Let c = a + -303181.1797658. Let r = c - -341. Round r to six decimal places. 0.000034 Let r = 14531.6468 - 14534. Round r to 2 decimal places. -2.35 Suppose 0 = f - 5549725 - 449827. Suppose -7336236 - 73161524 = 5*h. Let n = f + h. Round n to the nearest 1000000. -10000000 Let t = 3106.91 + -3107.8800062. Let p = 0.97 + t. Round p to six decimal places. -0.000006 Let x = 695 - 680.15. Let b = -0.164 - 13.836. Let h = x + b. Round h to one dp. 0.9 Let z = -1 + 1.08. Let p = 2611 + -2611.208. Let d = p - z. What is d rounded to 1 decimal place? -0.3 Let r = 14141.0000055624 - 14141. What is r rounded to 6 decimal places? 0.000006 Let q be 1*3 - (-6 + 9). Suppose -2*r = -3*h - 110710, q = -5*h + 10*h - r + 184505. Round h to the nearest 1000. -37000 Let n = -371 - -389. Let k = 0.344357 + -18.344797. Let y = n + k. What is y rounded to four decimal places? -0.0004 Let w = 50.56 - 54. Let z = -155.44 - w. Let d = z + 151.999907. Round d to 5 dps. -0.00009 Let i = -0.2257287409 - -0.22573. What is i rounded to 7 decimal places? 0.0000013 Let f = 53.206 + -0.806. Let i = 29 + -27.1. Let j = f - i. Round j to the nearest integer. 51 Let p = 89 + -195. Let w = -105.9999125 - p. Round w to 5 dps. 0.00009 Let y = 0.05716898 - 0.05717. Round y to four dps. 0 Let c = -0.0293958 - -0.02943. What is c rounded to five dps? 0.00003 Let k = 350 + -374.8. Let x = 24.799999939 + k. What is x rounded to 7 dps? -0.0000001 Let q = 0.0535 - -282.9465. Let j = q + -303.7. What is j rounded to the nearest integer? -21 Let n = 1050.9137 + -1051. Let w = 0.08629182 + n. Round w to seven decimal places. -0.0000082 Suppose 3*i - 48 = 7*i. Let c be 3/(3 + (-2 - 0)) + i. Let q be 293684*57/54 - 2/c. What is q rounded to the nearest 100000? 300000 Let z = 1359 - 1316.92. Let x = 3.33 - z. Let s = 40 + x. Round s to 1 dp. 1.3 Let a = 469.049934142 + -469.05. What is a rounded to 5 dps? -0.00007 Let r = 16.64 - 0.64. Let z = 13 - r. Let o = -2.99886 - z. What is o rounded to 4 dps? 0.0011 Let h = -31 + 48.3. Let p = h + -17.299884. What is p rounded to four decimal places? 0.0001 Let w = 3876153.3243 - 3876586. Let r = -432.9 - w. Round r to 2 dps. -0.22 Let j = 3.591 + -0.211. Let z = j + -3.516. Round z to 2 dps. -0.14 Let g = 580.3 - 580.299997805. Round g to 6 decimal places. 0.000002 Let m = 356656.24438 + -356844.24438191. Let l = m - -188. Round l to 7 decimal places. -0.0000019 Let r = 210.1246 - -1.0554. Round r to the nearest integer. 211 Let i = -12 - -30.85. Let o = i - 14.4. What is o rounded to the nearest integer? 4 Suppose -a = 4*d - 123235995, -55*d + 92426990 = -52*d + 2*a. What is d rounded to the nearest one hundred thousand? 30800000 Suppose -2*n = -n - 5. Suppose -4*j = 4*p + n - 25, 3 = 3*j. Suppose -79800020 = -3*h - 3*m - m, -p*h + 4*m + 106399980 = 0. Round h to the nearest one million. 27000000 Let n = -1045 + 3760. Let v = 2714.99998857 - n. Round v to six dps. -0.000011 Let h(z) = 122*z**2 - 315*z + 122. Let v be h(-58). Round v to the nearest ten thousand. 430000 Suppose 36*i + 416176983 = 45*i. Let v = -67011887 + i. Round v to the nearest 1000000. -21000000 Let t = 0.3750985909 + -0.3751. Round t to 7 decimal places. -0.0000014 Let g = -735433.00012 + 735475. Let b = -51.57 + 9.57. Let a = b + g. Round a to five dps. -0.00012 Let w = 114 - 112.34. Let f = -79.34 - w. Let c = f - -81.3. What is c rounded to zero decimal places? 0 Let u = -0.2591 - 855.2409. What is u rounded to the nearest ten? -860 Suppose -9*o - 51 + 15 = 0. Let s(w) = 33*w**2 - 3*w + 6. Let j be s(o). Round j to the nearest ten. 550 Let q = 345.35 - 7.35. Let u = 338.00237 - q. What is u rounded to 3 decimal places? 0.002 Let t = 79.8 - -0.2. Let g = -79.99961 + t. What is g rounded to four decimal places? 0.0004 Let k = -3754606 + -8783098. Let d = -3137704 - k. Suppose 0 = 13*i - 12*i - d. Round i to the nearest 1000000. 9000000 Let m = -0.699069438 - -0.69921. What is m rounded to 5 decimal places? 0.00014 Let f = -1.784 - 197.516. Let r = f + 210.13. Let l = -68.13 + r. What is l rounded to the nearest 10? -60 Let i be ((-15450)/200)/(1/(-16428)). Suppose -18*s + i + 592137 = 0. What is s rounded to the nearest 1000? 103000 Let d = -101 - -54. Let x = -0.3401287 + 47.3401255. Let k = x + d. What is k rounded to 6 dps? -0.000003 Let f = -87 - -109. Let x be (3 + -281)*f/(-4). What is x rounded to the nearest ten? 1530 Let b = 30.4 + -2.2. Let q = b + -0.2. Let v = -3.2 - q. What is v rounded to the nearest 10? -30 Let q = -26954.963 + 2228157.563. Let t = q + -2201201.41000099. Let x = t - 1.19. Round x to seven decimal places. -0.000001 Let c = 0.2075 - 1685.2075. Let v = -579 - c. Let i = v - 1105.9999387. What is i rounded to 5 dps? 0.00006 Suppose 4*y = 5*h - h - 48, -h = y + 4. Let x be (-102)/y*-22*94. Let d be x/9 - 3/9. What is d rounded to the nearest 100? -2900 Let d(h) = -29*h - 8. Let p be d(-2). Suppose -26 = 6*a - p. Let s(g) = 2281249*g**2 + 4*g. Let v be s(a). What is v rounded to the nearest one million? 37000000 Let u = -3664.2 + 3664.1981159. Round u to four dps. -0.0019 Let a = -0.8632 + 0.861584. Round a to three decimal places. -0.002 Let q = -17.226 - 0.174. Let l = -134 - -140.3. Let o = l + q. What is o rounded to zero dps? -11 Let r = -10951.9 - -9008. Let m = r - -2110. Round m to the nearest 10. 170 Suppose 9*p + 166 = 7*p. Let m = 86 + p. Suppose -5*c - 2874 = -2*x, -c + 5*x = m*x + 578. What is c rounded to the nearest one hundred? -600 Let i = -66475.999956327 + 66476. Round i to six dps. 0.000044 Let g = 26432 + -26431.46508. What is g rounded to 3 dps? 0.535 Let z = 51.96 - 52. Let c = 8.96 - z. Let m = 9.53 - c. Round m to 1 dp. 0.5 Let u(l) = -l**2 - 5*l - 11. Let b be u(-4). Let q be (b/(-14))/(2/12108). Suppose -q - 933 = 9*z. What is z rounded to the nearest one hundred? -400 Let y = -6037842 + 6037843.9999896. Let d = -555 - -557. Let s = y - d. Round s to six dps. -0.00001 Let i = -16.7834 + -95.0136. Round i to the nearest ten. -110 Let m = 16034.2565 + -16032. Round m to 2 dps. 2.26 Let u = 141259 + -141278.2998. What is u rounded to
{ "pile_set_name": "DM Mathematics" }
i: 3, b: 2}. What is prob of picking 1 z and 3 j? 1/330 What is prob of picking 2 z and 2 p when four letters picked without replacement from eezhppppzpp? 1/22 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from gtnt. 1/6 Three letters picked without replacement from uupuplquluu. Give prob of picking 3 p. 0 Two letters picked without replacement from {u: 4, f: 6, i: 1, q: 5, e: 4}. Give prob of picking 2 e. 3/95 What is prob of picking 1 i and 3 a when four letters picked without replacement from {i: 4, p: 4, a: 4, o: 8}? 16/4845 What is prob of picking 3 b when three letters picked without replacement from brbssbbxsvbii? 5/143 Four letters picked without replacement from mmmooooommmo. What is prob of picking 2 o and 2 m? 5/11 Calculate prob of picking 2 f when two letters picked without replacement from cfeomfz. 1/21 Calculate prob of picking 2 h and 1 o when three letters picked without replacement from hkhokoookkoookhtoott. 9/380 What is prob of picking 1 o and 1 i when two letters picked without replacement from okkoxukkik? 2/45 Three letters picked without replacement from nrnrdrnpkrrrrdppprvv. Give prob of picking 1 r, 1 v, and 1 d. 8/285 Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, f: 3}. 1/5 Four letters picked without replacement from ugpgpugpp. What is prob of picking 2 p, 1 u, and 1 g? 2/7 Four letters picked without replacement from {x: 2, y: 3, o: 4, r: 2}. What is prob of picking 2 o and 2 r? 1/55 Two letters picked without replacement from xxoxoooxxoxxxxxxxo. Give prob of picking 2 x. 22/51 Two letters picked without replacement from {g: 1, n: 2, t: 4, r: 3}. Give prob of picking 1 n and 1 t. 8/45 Calculate prob of picking 1 b and 3 m when four letters picked without replacement from bbmvmmmmmbmbmmbmmbb. 385/1292 Three letters picked without replacement from dbbbzbddbbbz. What is prob of picking 2 z and 1 b? 7/220 Two letters picked without replacement from {j: 2, b: 1, z: 2}. What is prob of picking 1 j and 1 b? 1/5 What is prob of picking 2 k when two letters picked without replacement from {k: 4, t: 2, v: 4, c: 2, n: 6, b: 1}? 2/57 Two letters picked without replacement from uatrrtartstutratrabt. Give prob of picking 1 t and 1 a. 14/95 Three letters picked without replacement from {x: 3, f: 4, o: 9, u: 2}. What is prob of picking 2 f and 1 u? 1/68 Three letters picked without replacement from {u: 9, o: 2, c: 7}. What is prob of picking 1 c, 1 u, and 1 o? 21/136 Four letters picked without replacement from {f: 10, q: 2, e: 1, t: 1}. Give prob of picking 1 q and 3 f. 240/1001 Four letters picked without replacement from {s: 6, n: 9, a: 4}. Give prob of picking 1 n, 2 s, and 1 a. 45/323 What is prob of picking 1 h and 2 g when three letters picked without replacement from ghggohghhgohgggho? 21/85 What is prob of picking 1 t, 1 d, and 1 j when three letters picked without replacement from {i: 4, a: 1, t: 2, j: 2, d: 1}? 1/30 Two letters picked without replacement from {d: 1, k: 1, r: 1, o: 1, n: 1, e: 2}. Give prob of picking 1 r and 1 e. 2/21 What is prob of picking 2 d when two letters picked without replacement from hdhdchaxlcaca? 1/78 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zipsbbb. 1/21 Four letters picked without replacement from {u: 10}. Give prob of picking 4 u. 1 Three letters picked without replacement from {j: 3, q: 2}. Give prob of picking 1 j and 2 q. 3/10 What is prob of picking 2 z, 1 n, and 1 l when four letters picked without replacement from nnzzllnllllnll? 32/1001 Two letters picked without replacement from {j: 9, i: 3, w: 2, o: 3}. Give prob of picking 1 w and 1 j. 9/68 Four letters picked without replacement from cyauxym. What is prob of picking 1 a, 1 y, 1 x, and 1 u? 2/35 What is prob of picking 1 x, 1 b, and 1 m when three letters picked without replacement from {m: 2, o: 2, x: 1, c: 1, b: 2}? 1/14 Two letters picked without replacement from jtdtdmjmjkzd. What is prob of picking 2 t? 1/66 Four letters picked without replacement from eaddcdyeddbdadd. Give prob of picking 1 b, 2 a, and 1 c. 1/1365 Two letters picked without replacement from {g: 3, c: 1}. What is prob of picking 2 g? 1/2 What is prob of picking 2 v when two letters picked without replacement from wrwdvwrwrevwryrr? 1/120 Calculate prob of picking 1 p, 1 e, 1 k, and 1 s when four letters picked without replacement from {p: 1, e: 1, k: 1, s: 1, z: 3}. 1/35 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from veshhhsessjahss. 1/105 Calculate prob of picking 2 e when two letters picked without replacement from eeee. 1 What is prob of picking 1 g and 1 n when two letters picked without replacement from nnoxxtmmnnmgxtnnog? 4/51 Three letters picked without replacement from {p: 5, u: 2, o: 2, i: 6, t: 1}. What is prob of picking 2 u and 1 i? 3/280 Two letters picked without replacement from grirgggqqri. Give prob of picking 1 g and 1 q. 8/55 Three letters picked without replacement from {e: 7}. What is prob of picking 3 e? 1 What is prob of picking 3 x and 1 i when four letters picked without replacement from {g: 4, i: 3, x: 9}? 9/65 Calculate prob of picking 1 s and 3 n when four letters picked without replacement from snnnnsnnnnnnnnnnnnnn. 32/95 Calculate prob of picking 1 r, 2 y, and 1 j when four letters picked without replacement from yyyyoyyobjxyrxb. 1/65 Two letters picked without replacement from euueuuuuiuuuuu. What is prob of picking 2 i? 0 Three letters picked without replacement from {t: 1, v: 1, s: 1, k: 3, h: 8, i: 2}. What is prob of picking 1 h and 2 i? 1/70 What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 4, s: 2, w: 3, n: 1, o: 1}? 4/55 Two letters picked without replacement from {u: 2, o: 3, j: 1, y: 1, w: 3, t: 3}. What is prob of picking 1 u and 1 t? 1/13 Two letters picked without replacement from {x: 1, y: 1, h: 1, p: 1, i: 1}. What is prob of picking 1 i and 1 x? 1/10 Calculate prob of picking 3 g and 1 h when four letters picked without replacement from hgghtghhghhhh. 32/715 What is prob of picking 1 o and 1 j when two letters picked without replacement from gggoojjg? 1/7 Two letters picked without replacement from hbfdwydf. Give prob of picking 1 d and 1 f. 1/7 Calculate prob of picking 1 s and 2 u when three letters picked without replacement from ususuu. 3/5 Three letters picked without replacement from {e: 11, b: 2}. What is prob of picking 1 b and 2 e? 5/13 Two letters picked without replacement from evbbevev. What is prob of picking 2 e? 3/28 Two letters picked without replacement from {g: 3, h: 2}. Give prob of picking 1 h and 1 g. 3/5 Calculate prob of picking 1 j and 1 r when two letters picked without replacement from djgagorgrrgrdaa. 4/105 Two letters picked without replacement from {y: 6, u: 8, s: 1, x: 3}. What is prob of picking 2 u? 28/153 Four letters picked without replacement from otjtootgotj. Give prob of picking 1 j, 1 g, and 2 t. 2/55 Four letters picked without replacement from fottfoff. What is prob of picking 4 f? 1/70 Two letters picked without replacement from ninwcnwncnnsnbibn. Give prob of picking 1 s and 1 c. 1/68 Calculate prob of picking 2 q when two letters picked without replacement from dqdqi. 1/10 Calculate prob of picking 2 o when two letters picked without replacement from ofcoffzfoz. 1/15 What is prob of picking 1 d and 1 x when two letters picked without replacement from xnnnnnndnnn? 1/55 Four letters picked without replacement from uuuuuuzuuzpzuuuoz. Give prob of picking 2 z, 1 u, and 1 p. 33/1190 What is prob of picking 2 k when two letters picked without replacement from kwkkwkkkkkkkkwk? 22/35 Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {e: 2, p: 6, t: 7}. 6/65 Calculate prob of picking 3 l when three letters picked without replacement from qlhlshdlqxhhdlh. 4/455 What is prob of picking 4 h when four letters picked without replacement from {v: 7, h: 9}? 9/130 Two letters picked without replacement from rrprrrprtrptpr. Give prob of picking 1 r and 1 t. 16/91 What is prob of picking 1 n and 1 m when two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
**3 + 0 + 1/2*q = 0. Calculate q. -1, 0, 1 Let p(w) be the third derivative of 0 - 1/48*w**4 - 5*w**2 - 1/240*w**5 + 0*w + 0*w**3. Solve p(f) = 0 for f. -2, 0 Let u(m) = 20*m**2 + 11*m + 14. Let p(l) = -7*l**2 - 4*l - 5. Let j(a) = 11*p(a) + 4*u(a). Let k(x) = -1. Let c(z) = j(z) + 4*k(z). What is y in c(y) = 0? -1, 1 Let a(k) be the first derivative of -k**6 + 9*k**5/5 - 3*k**4/32 - 3*k**3/4 - 3*k**2/16 + 17. Let a(p) = 0. What is p? -1/4, 0, 1 Let w = 709 + -707. Factor 0*h**w - 1/2*h**3 + 1/4*h**4 + 0 + 0*h. h**3*(h - 2)/4 Let c be 192/(-33) + 2 - -4. Factor 0*k**2 + c*k**4 + 4/11*k**3 - 2/11 - 4/11*k. 2*(k - 1)*(k + 1)**3/11 Let t(w) be the first derivative of w**6/21 + 6*w**5/35 - w**4/14 - 22*w**3/21 - 12*w**2/7 - 8*w/7 + 7. Factor t(h). 2*(h - 2)*(h + 1)**3*(h + 2)/7 Let m(x) = -3*x**4 - 6*x**3 - 3*x**2 + 12*x. Let g(t) = t**2 - t + 5. Let r(b) = 1. Let s(k) = g(k) - 5*r(k). Let l(h) = m(h) + 6*s(h). Factor l(v). -3*v*(v - 1)*(v + 1)*(v + 2) Let k(f) be the first derivative of 0*f - 4 + 0*f**2 + 0*f**4 + 1/5*f**5 + 0*f**3. Determine b, given that k(b) = 0. 0 Let u(p) = 2*p + 2. Let z be u(-5). Let y(g) = g**2 - g. Let k(j) = 6*j**2 + 4*j. Let t(o) = z*y(o) - k(o). What is b in t(b) = 0? 0, 2/7 Let k(w) be the third derivative of -w**8/252 + 4*w**7/315 - 2*w**5/45 + w**4/18 + 13*w**2. Suppose k(i) = 0. What is i? -1, 0, 1 Let p(o) be the second derivative of 0 + 5*o - 1/15*o**4 + 0*o**2 + 0*o**3 - 1/50*o**5 + 1/75*o**6. Find t, given that p(t) = 0. -1, 0, 2 Let s be 107/7 - (-4)/(-14). Let y = s + -11. Find a, given that -y*a**2 + a + 2 - 4*a - 1 = 0. -1, 1/4 Suppose -75 = -18*u - 3. Factor -2/3*i**3 + 2/3*i**u + 0*i**2 + 0 + 0*i. 2*i**3*(i - 1)/3 Let r(q) = -2*q**2 + q**2 + 0*q**2 + q**3. Let z(c) = 3*c**4 + 3*c**3 - 15*c**2 + 15*c - 6. Let i(h) = 6*r(h) - z(h). Factor i(u). -3*(u - 1)**3*(u + 2) Let a(k) = 15*k - 2. Let t be a(3). Let m be 6/(-24) - t/(-12). Find v such that -4/3*v + m*v**3 + 0 - 2*v**2 = 0. -2/5, 0, 1 Let c(i) be the third derivative of -i**8/1008 + i**7/315 + i**6/360 - i**5/90 + 39*i**2. Determine s, given that c(s) = 0. -1, 0, 1, 2 Let b(l) be the first derivative of -l**7/168 + l**6/40 - 3*l**5/80 + l**4/48 - 2*l - 3. Let z(x) be the first derivative of b(x). What is u in z(u) = 0? 0, 1 Let o(t) be the second derivative of -2/5*t**4 + 11/50*t**5 - 1/25*t**6 + 4/15*t**3 + 0*t**2 + 7*t + 0. Find i, given that o(i) = 0. 0, 2/3, 1, 2 Let a(f) be the first derivative of -f**6/180 + f**5/90 - f**2/2 - 3. Let i(w) be the second derivative of a(w). Factor i(b). -2*b**2*(b - 1)/3 Let y(q) be the first derivative of q**6/9 + 4*q**5/15 - 4*q**3/9 - q**2/3 + 1. Find h such that y(h) = 0. -1, 0, 1 Let u = -3 - -3. Let m(z) be the first derivative of 1/2*z**4 - 1 + u*z**3 - 3*z**2 - 4*z. Factor m(y). 2*(y - 2)*(y + 1)**2 Factor 0*y**2 + 0*y + 0 + 1/6*y**3. y**3/6 Let d(f) be the second derivative of 5*f**6/252 - f**5/21 + f**4/21 - f**3/6 + 4*f. Let u(x) be the second derivative of d(x). Solve u(o) = 0 for o. 2/5 Let n(a) be the first derivative of a**3 + 24*a**2 + 69. Determine y, given that n(y) = 0. -16, 0 Factor -1/2*l**2 + 3/4*l**5 + 0*l + 7/4*l**3 + 0 - 2*l**4. l**2*(l - 1)**2*(3*l - 2)/4 Let i(p) = -p**2 - 7*p + 11. Let n be i(-8). Solve 2*f**3 - 2*f**3 - f**n + 4*f**3 = 0 for f. 0 Suppose -6*m + 3*m = -0*m. Let i(w) be the second derivative of 2/9*w**4 + m*w**2 + 2/9*w**3 - 1/10*w**6 + 4*w + 0 - 1/20*w**5. Solve i(d) = 0. -2/3, 0, 1 Let t(w) be the third derivative of 5*w**8/1344 - w**7/56 + w**6/32 - w**5/48 + 5*w**2. Factor t(q). 5*q**2*(q - 1)**3/4 Let f(g) = 11*g**5 - 6*g**4 - 25*g**3 - 23*g**2. Let i(k) = -16*k**5 + 9*k**4 + 38*k**3 + 34*k**2. Let t(j) = 7*f(j) + 5*i(j). Determine c, given that t(c) = 0. -1, 0, 3 Let u(v) be the second derivative of -v**7/105 - v**6/30 + v**4/6 + v**3/3 + 3*v**2/2 + 2*v. Let m(i) be the first derivative of u(i). Factor m(t). -2*(t - 1)*(t + 1)**3 Let o = -15 + 17. Let w(f) = -f**5 + 2*f**4 - f**3 + 2*f. Let t(i) = -2*i**5 + 2*i**4 - i**3 + i**2 + 3*i. Let s(r) = o*t(r) - 3*w(r). Factor s(c). -c**2*(c - 1)*(c + 1)*(c + 2) Let g(j) be the first derivative of 2 + 5/12*j**2 + 2/9*j**3 + 1/24*j**4 + 1/3*j. Factor g(x). (x + 1)**2*(x + 2)/6 Let f(z) = z**3 + 22*z**2 - 48*z + 2. Let m be f(-24). Suppose -1/3 + m*n + 4/3*n**3 - 3*n**2 = 0. Calculate n. 1/4, 1 Let i(k) = k**4 + k**2 - k. Let x(t) = 6*t**4 - t**3 + 8*t**2 - 6*t. Let g(o) = 21*i(o) - 3*x(o). Factor g(v). 3*v*(v - 1)*(v + 1)**2 Let r(k) = 20*k**5 - 11*k**4 - 16*k**3 + 7*k**2 + 11*k - 11. Let h(b) = 7*b**5 - 4*b**4 - 5*b**3 + 2*b**2 + 4*b - 4. Let q(y) = 11*h(y) - 4*r(y). Factor q(z). -3*z**2*(z - 1)**2*(z + 2) Let u(m) be the first derivative of 8/21*m**3 - 4/7*m**2 + 2/7*m + 3. Factor u(h). 2*(2*h - 1)**2/7 Let a(j) be the third derivative of -j**5/40 + j**4/12 + 18*j**2. Find p such that a(p) = 0. 0, 4/3 Let n(l) be the first derivative of 4*l**5/5 - 4*l**3 - 4*l**2 + 5. Factor n(s). 4*s*(s - 2)*(s + 1)**2 Suppose 9 = -w + 3*g, -2*w - 2*g = -g - 3. Let p(c) be the first derivative of -1/7*c**2 - 1 + w*c - 1/14*c**4 + 4/21*c**3. What is q in p(q) = 0? 0, 1 Determine x so that 18/7 + 3*x + 1/7*x**3 + 8/7*x**2 = 0. -3, -2 Let x(c) be the second derivative of 0*c**4 + 0*c**2 + 0 + 1/30*c**5 - 1/45*c**6 + 0*c**3 - 2*c. Determine m so that x(m) = 0. 0, 1 Let z(t) be the first derivative of -25*t**4/12 - 20*t**3/9 + 5*t**2/6 + 24. Find o such that z(o) = 0. -1, 0, 1/5 Suppose 2 = 4*w - 2*s, w + 18 = -5*s + 35. Factor -o - 1/2*o**w + 1/2*o**3 + 0. o*(o - 2)*(o + 1)/2 Let y be -2 + (-3 - 75/(-9)). Suppose -8 + 20 = 4*q. Find x, given that -2/3*x**q - y*x - 8/3*x**2 - 4/3 = 0. -2, -1 Let r(m) be the first derivative of 0*m**2 - 1/4*m**4 + 3 + 0*m + 1/3*m**3. Let r(k) = 0. Calculate k. 0, 1 Determine l so that 3 - 7 - l**2 - 9*l + 6*l + 7*l = 0. 2 Suppose 0 = r + 5*n + 20, 2*r - 5*n - 19 = 1. Let m(f) be the third derivative of -4*f**2 + 0 + 11/16*f**4 - 1/4*f**3 - 9/20*f**6 + r*f - 3/5*f**5. Factor m(t). -3*(t + 1)*(6*t - 1)**2/2 Suppose 4 + 6 = -5*c. Let l be (20/6 + c)*3. Factor 2*w**2 - w + 2*w**4 - 4*w**l + w. -2*w**2*(w - 1)*(w + 1) Let n(c) be the second derivative of -c**7/210 - c**6/75 - c**5/100 - 6*c. Determine w, given that n(w) = 0. -1, 0 Suppose 0 = 2*s + 3*s. Let o(u) be the third derivative of -u**2 + 0*u + s*u**3 + 0 + 1/240*u**5 - 1/48*u**4. Factor o(q). q*(q - 2)/4 Let j(c) be the third derivative of c**8/288 - c**7/252 - 23*c**6/720 + 29*c**5/360 - c**4/36 - c**3/9 + 10*c**2. Solve j(z) = 0. -2, -2/7, 1 Let o be (2/(-1) + 9)*1. Let j = o - 5. Factor j*g**4 + g**2 - 5*g**2 + 2 + 0. 2*(g - 1)**2*(g + 1)**2 Let q(j) be the third derivative of -j**7/35 - j**6/15 - j**5/30 - 13*j**2. Determine t so that q(t) = 0. -1, -1/3, 0 Let f be (-10)/(-3) - (10 + (-4 - 3)). Factor 1/3*n + f*n**2 + 0. n*(n + 1)/3 Let t(k) = k**2 - 4*k + 3. Let v be t(3). Determine s so that 2/5*s**3 + v*s**2 - 2/5*s + 0 = 0. -1, 0, 1 Suppose 6*j - 4*j = 14. Let o be (1/(-14))/((-2)/j). What is q in -o*q + 1/4 + 1/4*q**3 - 1/4*q**2 = 0? -1, 1 Let y(j) be the third derivative of 3*j**2 + 1/12*j**4 - 1/60*j**6 + 0*j + 1/3*j**3 + 0 - 1/30*j**5. Let y(v) = 0. Calculate v. -1, 1 Let h(r) = -5*r**4 - 4*r**3 + r**2 - 3. Let d(v) be the second derivative of 2*v**6/15 + v**5/5 + v**2 + 6*v. Let x(m) = 3*d(m) + 2*h(m). Solve x(l) = 0 for l. -1, 0 Let j(x) be the first derivative of 0*x**3 + 0*x**2 + 2*x + 3 - 1/12*x**4. Let l(g) be the first derivative of j(g). Solve l(s) = 0 for s. 0 Let a(m) = -m**2 + m + 1. Let f = -5 - -4. Let i(d) = 10*d**2 - 2*d - 4. Let p = -8 + 4. Let x(c) = f*i(c) + p*a(c). Factor x(u). -2*u*(3*u + 1) Let m be (1 - 1)*(-19)/38. Let s(b) be the second derivative of m - 1/3*b**3 - b + 1/10*b**5 + 0*b**2 - 1/15*b**6 + 1/6*b**4. Suppose s(l) = 0. What is l? -1, 0, 1 Let o be 27/(-81)*(1 + -10). Find g, given that 17/4*g**o - 13/4*g**4 + 3/4*g**5 - 2*g - 3/4*g**2 + 1 = 0. -2/3, 1, 2 Suppose -j = 2 - 4. Let s(g) be the third derivative of -1/90*g**5 + 0*g - 7/360*g**6 + 0*g**3 + g**j + 0*g**4 + 0. Factor s(r). -r**2*(7*r + 2)/3 Factor 0 + 10/3*k**2 - 2*k**3 - 4/3*k + 2/3*k**5 - 2/3*k**4. 2*k*(k - 1)**3*(k + 2)/3 Let g be 95/(-150) - (-2)/3. Let w(k) be the third derivative of k**2 + 0*k + 1/6*k**4 + g*k**5 + 0 + 1/3*k**3. Factor w(u).
{ "pile_set_name": "DM Mathematics" }
u + 11 + d = 0, -2 = -2*r - 2*u for r. 4 Let b(l) = l + 9. Let j be b(-7). Let k(r) = -r**3 + 6*r**2 + 7*r + 4. Let w be k(7). Solve -5*c - 10 = 0, -j*m + 2 = -w*m - 5*c for m. 4 Let f be (-24)/(9/(-3)) - -2. Let r be (-4)/f + 44/10. Solve 0 = 3*d - 0 - 3, -5*q - d = r for q. -1 Let m be -5 + 4 + 1 + 4. Solve -12 = -m*n, z - 7 - 7 = -5*n for z. -1 Let x be -2 + 1 + -2 + 5. Solve x*c = 0, 4*n - 4 = -0*c + 5*c for n. 1 Suppose 0 = -2*n + 7 + 3. Suppose -n*v - 2 = -3*t, 5*t + 4*v - 5 = 23. Solve -q - q + 6 = 3*k, 0 = -t*q for k. 2 Let n = 26 - 23. Solve 2*k = 2*w - 4, 6*k = k + n*w for k. 3 Suppose 2*q + 0*q = 6. Suppose 0 = 2*s + 3*x + 3, 0 = 4*s + 2*x - q - 3. Solve g + 3 = 2*c, -2*c - s*g = -0*g - 15 for c. 3 Suppose -5*t = -14 - 1. Suppose 2*v = -i + 6, 3*v + 15 + 9 = 4*i. Let g be 2 + i + -4 + -4. Solve -4 = 2*z - z - j, g = t*z - 5*j + 10 for z. -5 Let l(g) = -g**3 - 5*g**2 - 5*g - 1. Let d be l(-4). Suppose 10 = d*x - x. Solve x*m = 2*q - 1, 2*m = 6*m + 2*q - 10 for m. 1 Let a = 26 - 20. Solve -4*k + 4*q = -a*k - 2, 3 = -3*k + 5*q for k. -1 Let g = 3 - 2. Let n be 1 + (g - 0) + 14. Solve -3*r - 1 + 3 = -2*f, -3*r - 5*f = -n for r. 2 Suppose -2*w = 5*p + 11, -4*w = -3*p - 8 - 9. Solve 2*k = 0, w*k + 2*k + 8 = 2*m for m. 4 Let u(z) = z**2 + z + 5. Let s be u(0). Suppose -2*i - 15 = -s*o + 33, 3*i + 52 = 5*o. Solve 0 = m + 3*h - 11, 2*m - 2*h + o = -10 for m. -4 Suppose 7*f = 5 + 16. Solve 2*q = -5*i - 8 - 4, -f*i - 5 = -q for q. -1 Suppose -o - 1 - 1 = -3*d, -d + 3*o = 10. Suppose -d*t = -3*t + 6. Let h(y) = y - 1. Let m be h(t). Solve -m*c - 1 = -w, 0 = c + 3*c + 4 for w. -4 Let q = 2 + 5. Suppose -3*a + q*a = 0. Solve p - 19 = -a*n - 3*n, -5*p = -4*n for p. 4 Let i = 2 + -8. Let j be ((-15)/i)/(2/4). Let r = 41 + -25. Solve 5*u - 33 + 12 = -g, -4*g + j*u = r for g. 1 Suppose 0 - 9 = 3*f. Let d be f - (1 + -3 + -3). Suppose -9 = -p - d*p. Solve -2*r + 3 = -p*c, -2*c + 0 = -r + 3 for c. -3 Let y = -5 - -7. Solve -2*m + 21 = 5*l, -m - 15 = -4*l - y*m for l. 3 Let u(t) = -2*t**2 + 11*t + 8. Let j be u(6). Solve -4*p - j*n + 6 = -0*p, 5*n = -25 for p. 4 Let o be (-6)/(-10) - (-136)/40. Solve -i - 5 = -4*l + 6, 3*l + 8 = o*i for l. 4 Let t = 17 + -9. Solve -n - 2*s + t = 0, s + 4 - 9 = 0 for n. -2 Let h be (-2)/(-3) + 1/3. Let p = -1 + h. Suppose -2*w = -2*o - 2, 0 = 2*o - 7*o - 5*w + 25. Solve 0 = v + 3*d + o, -v + 2*d - 7*d - 4 = p for v. 1 Suppose -3*r = 2*r - 30. Suppose 2 = -z + x, 4*z + 10 = -x + r*x. Let m be (z/(-1 + 0))/(-2). Solve u - 5*i = m, 2*i = 3*u - 8*u for u. 0 Suppose -2*d + 3*f + 1 = 4, 0 = -4*d + 3*f + 9. Let y be (-3)/6 - (-93)/d. Solve 0 = -4*n + 3*z - 17, 3*n - 3*z = -0*n - y for n. -2 Let o be 4/(-12) + (-32)/3. Let z = o + 15. Solve 3*c = -2*k - 0*c - 8, -z*c = -k - 4 for k. -4 Suppose -4*m + 18 = 6. Solve 4*z - 2*a - m = z, 5*z - 5*a - 10 = 0 for z. -1 Let z = -1 - -3. Let g be 8/3 - z/(-6). Let m = 4 - g. Solve -2*v - 5*h - 12 = 0, -3*h + 2*h - m = -v for v. -1 Let m(p) = -p**2 - 7*p - 3. Let u be m(-7). Let v = 1 - u. Solve -c + 16 = 3*c, c - v = -3*w for w. 0 Let g = 3 + 0. Let t(b) = -5 - g*b + 5 + 6 - 2*b**2 + 3*b**2. Let y be t(5). Solve -4*w + 4*s - 32 = 0, s = 4*w + y + 7 for w. -5 Suppose -3*s = 2*s - 4*x, -2*s = -x. Suppose 2*a + 0*a - 6 = s. Solve -2*b + 10 = 0, -a*p - 2*b = -4*b + 10 for p. 0 Let s = -102 + 127. Solve -j + s = 4*b - 0*j, -3*b + 25 = 2*j for b. 5 Suppose 3 = -3*x + 9. Suppose 20 - 5 = 3*j. Let u = -103 - -114. Solve 4*y - 35 = -j*s - 0*y, -y = x*s - u for s. 3 Suppose 0 = -0*q - 3*q + 15. Let l(j) = -j**3 - 2*j**2 - 2*j - 1. Let y be l(-1). Let v = q - y. Solve -3*i - i = -8, v*u = 3*i + 19 for u. 5 Suppose 8*s = 7*s - 21. Let d = s + 23. Solve 2*h + b + d = -0, 6 = 3*b for h. -2 Suppose -5*a = 5*s + 3 - 38, -4*a + 31 = 5*s. Solve -2*i - i - 4*f = -6, 2*f - 8 = -a*i for i. 2 Suppose -9*q = -3*q. Solve 3*x + 0*x - i + 11 = 0, q = 2*x + 2*i + 18 for x. -5 Suppose g + 4*g = -v + 17, 5*v = -3*g - 3. Solve g*m + 4*c - 8 = 0, 0*c = -3*m - c - 4 for m. -3 Suppose 3*b + 2*b + 10 = 0. Let m be 4 - (2 + 0/b). Solve d = m*o + 3*d - 2, -4*d = -2*o + 26 for o. 5 Let b = -8 - -10. Suppose -6 = b*o + o, 3*x = 4*o + 44. Solve -t = -3*r - x, 9 = -0*r - 2*r + t for r. -3 Suppose -5 + 14 = 3*c + 3*n, 11 = 2*c + n. Let b(y) = 4*y. Let f be b(c). Solve 3*m - 3*x - 3 = 0, 2*x = -3*m - f + 10 for m. -4 Suppose -2*v + 52 = 5*t, t - 5*t + 28 = 5*v. Suppose -2*l = 4*a - 0*a - t, -5*l = 5*a - 10. Let d be 3/l*32/(-6). Solve y = -i - 4, 4*i = -y - i - d for y. -3 Let n = 47 - 19. Suppose n = 4*t + 8. Solve -4*y + c + 21 = -0*y, 35 = t*y - 3*c for y. 4 Let x be 2*2 - (8 - 8). Solve 5*s + 16 = i - x*i, 3*s = 4*i - 27 for s. -5 Suppose -o - 3*z = 4*o - 22, 0 = 2*o + 2*z - 12. Solve 0 = -4*m - 3*j + 19, -o*m + 25 = 3*m + 4*j for m. 1 Let d = 61 - 57. Solve 2*r = -2*a - r + 23, -a + d*r - 16 = 0 for a. 4 Let m(p) = -p**3 + 12*p**2 - 11*p + 12. Let a be m(11). Suppose 0 = -5*d - g + 11, 2*g = -2*d - 0*g + 6. Solve t - 3*n = -d + a, -5 = n for t. -5 Suppose 0*d = 4*d - 4. Let a be 0 + 0 - (-30)/6. Suppose 2*w = a*w - 33. Solve -2*q - 3*q - w = 3*x, 0 = 2*x - 5*q - d for x. -2 Suppose 13*u + 10 - 36 = 0. Solve -4*q - p = 2, -2*q + 2*p = u - 6 for q. 0 Let o = 22 - 16. Suppose 2 = 4*n - o. Suppose 3*y + 26 = 2*u, -1 = n*u - u + 2*y. Solve -4*m + 2*f = -m + u, 2*f - 5 = 5*m for m. 1 Let y be (15/25)/((-2)/10). Let f be 11 + y - 6/2. Solve -a - 1 - 5 = -4*g, 16 = f*a + 3*g for a. 2 Let u(a) = -5*a**3 + a**2 - 1. Let i be u(-1). Solve -3*j + 17 = -4*t + 7, 0 = 5*t + i*j + 30 for t. -4 Suppose -7 = -5*l + 13. Let r(n) = -n**2 + 6. Let w be r(-7). Let f = -25 - w. Solve -l*z + 4*y = z - 16, -5*z + 2*y = -f for z. 4 Let o(l) = -25*l - 1. Let h be o(-1). Let g(f) = -f**3 - 9*f**2 + 2*f + 20. Let d be g(-9). Solve -j - d*j = -3*b - h, -3*b - 3*j = 6 for b. -5 Suppose 11*q - 9*q - 10 = 0. Suppose -d = c + 2*c - 15, -3*c + 21 = 3*d. Suppose v = d*v. Solve 29 = 5*z + q*k + 9, v = z - 5*k + 26 for z. -1 Let y be -1 + 0 + 7 + -3. Solve c = -2 + y, 0 = -4*z + 5*c - 9 for z. -1 Let c = -11 + 16. Suppose 2*t + c*i + 19 = -t, -i - 3 = t. Suppose -p - 3 = 3*q, p + 3*q = 5*p - 18. Solve -t*k + 2*u = -5*k - 7, -p*k = 3*u + 3 for k. -5 Let u = 38 - 53. Let x = 18 + u. Solve 5*g - 5 = -2*y, -g + x*y = y - 13 for g. 3 Let i(z) = 8*z - 18*z + 5 + 9*z. Let k be i(3). Solve 5*u + 3*h - 8 = 4*h, 0 = -k*u - 2*h - 4 for u. 1 Suppose -4*d + 8 = -5*m, -3*m - 1 = 3*d - 7. Solve -d*v + 7 = 3*f - 7, -2*v + 5*f = 18 for v. 1 Let y(j) = -j**2 - 8*j - 8. Let s be y(-8). Let q = 8 + s. Solve q*m - 4*f + 16 = -m, -9 = 3*m + f for m. -4 Let w be -5 + 14/(-1 - -3). Solve 4*l + 4*o - 5*o - 13 = 0, w*l - o = 5 for l. 4 Let i be 2/6 - 65/15. Let o = 6 - i. Let a = o - 7. Solve -2*s - 11 = -5*g, -3*s - 10 = a*g - 4*g for s. -3 Let x = -5 + 5. Suppose 5*r = -x*r + 50. Let a(s) = s**2 - 11*s + 15. Let v be a(r). Solve 4*g + 3*y = 4, v*g - 7 + 2 = -y for g. 1 Let q(o) = -2*o + 11. Let c be q(4). Solve -2*k - 5 = -c*d - 14, 0 = -k for d. -3 Suppose 4*v = -0*v. Let n = 4 + 2. Solve -r + 2*s = r - 8, -2*r - 5*s - n = v for r. 2 Suppose -3*m - 28 = m - 3*b, b = -4. Let f = 15 + m. Suppose -l + 3 = z, -3*l = -f*z - l + 15. Solve 5*g - z*r - 1 = r, 0 = -r - 4 for g. -3 Let t = 31 - 13. Solve -5*a + 20 = 5*i, -5*a + t - 4 = -i for i. 1 Let z be 30/225 + 43/15. Solve -z*r = -2*l - 0*l - 25, -5*l = 25 for r. 5 Let v(j) = -j**2 + 18*j + 47. Let q be v(20). Solve 4*o = -r - 8, 3*o = -5*r + r + q for r. 4 Let l be 1/(-2) + 18/4. Suppose -2*x + l*r = 2*x + 16, -x - 3*r = -12. Solve x*f + 4*z + 18 = -5*f, 3*z = 3*f for f. -2 Let j = -43 + 31. Let c = j + 17. Suppose r - 4*n = 3*r + 8, 0 = 3*r - n - 9. Solve -2*y = 5*g, -4*g = y - c + r for g. 2 Suppose -2 = -3*k + 4. Suppose 0*l + 4*l = k*h - 26, 3*h = 4*l + 31. Solve -3*d - h = -0*d + 2*c, 5*c + 5 = 0 for d. -1 Let r be 15/12 + 1/(-4). Let b = r - -2. Suppose 0 = -b*h - 2*h. Solve h*i = 4*v - 5*i + 2, -5*v = -5*i for v. 2 Let z be (-6)/(-14) + (-198)/(-77). Solve -5*o - 10 = z*l + 5, -3 = -4*l + o for l. 0 Let q(k) = -2*k**2 + 22*k + 5. Let o be q(11). Solve -3*l + 10 = -o*l, 5*t - 25 = 5*l for t. 0 Let q be (-8)/12*(-9)/2. Suppose 0*h - q*h = 2*o, 2*o - 4*h = 14. Solve 3*s - 2*y = -16, 3*y - 8*y - 2 = o*s for s. -4 Let f be 3/(-5) -
{ "pile_set_name": "DM Mathematics" }
3? p Suppose 5*k = 3*s - 33, -s - 4*k = k + 9. Let g = 9 - s. Let j = 1.5 - 1. Which is the nearest to -0.1? (a) -3/7 (b) g (c) j a Let y be ((-13)/(156/40))/((-4)/(-6)). What is the closest to -1 in 1/3, y, 0.2? 0.2 Let f = -10.1 + 10. Let h = 1.1 - 0.1. Which is the closest to h? (a) 0.3 (b) f (c) -0.5 a Let t = -3 - -3.1. What is the nearest to -1 in t, 1/3, -1? -1 Suppose -5*r = i - 18, 0*r - 10 = -4*r - 3*i. Let f be -2 + 2 - (-2 + r). What is the nearest to f in 0.2, -1, -3/5? -1 Let h = 0.305 + 0.095. Let s = 4456/105 - 298/7. Which is the nearest to -2/7? (a) 2/3 (b) s (c) h b Let y = 3/13 - -1/52. Let g = 0.6 + -0.1. Let b be (-3)/(-12) + 42/(-8). What is the closest to y in b, -3/5, g? g Let r = 0.43 + -0.03. Let d = -1 + 1.2. Let f = d + -0.4. Which is the nearest to -1? (a) -2/3 (b) f (c) r a Let j = 104/3 + -35. Let m = -1 + 0. Which is the closest to -1? (a) m (b) j (c) 3 a Let v = -6.7 - -7. Let y = v - 0.3. Let z = -3 + 2.5. What is the nearest to y in z, 2, -1? z Let h(s) = 2*s + 2. Let m be h(-2). Let d = 25.1 - 25. What is the closest to d in 5, m, -4? m Let y(m) = -2*m - 8. Let j be y(-6). Suppose -j*t = -t. What is the nearest to -1/3 in -0.1, t, 1/2? -0.1 Let t = 1.3 + -0.3. Suppose 0 = -4*y + 2*f + 2, -3*y = -41*f + 38*f + 6. Which is the nearest to t? (a) -0.1 (b) y (c) -1/6 a Suppose 3*z - 5*h + 2 = 3, -4*h - 2 = -3*z. What is the nearest to z in 4, 2/3, 2? 2 Let p = 3 - 6. Let u = -0.8 - -0.5. Let h = -0.2 - u. Which is the closest to h? (a) p (b) 2/7 (c) 0 c Let q = 11 - 7. Let t(n) = 2*n**3 + 2*n**2 - n. Let f = 4 + -3. Let m be t(f). What is the closest to 2 in 0.3, q, m? m Let z(n) = 2*n + 18. Let f be z(-8). Suppose -4*v = y - 1, 3*y - 2*v = -0 + 3. Let x = -0.2 + -0.3. Which is the closest to 0? (a) y (b) x (c) f b Suppose 3*j + 20 = 2*o, o = -3*o - 4*j. Suppose 2*x = -i - o - 1, i + 5 = 0. Let k be x - (1 + (-9)/12). What is the nearest to k in 0.3, 1, 1/5? 1/5 Let f = -3 - -9. Let g = 4 - f. What is the nearest to g in 4, -4, 5? -4 Suppose -4*r - 3*u - 1 = -2*r, -5*r = 5*u + 5. Which is the nearest to r? (a) 4 (b) -10 (c) 0.1 c Let u = 0.083 + 0.017. Which is the nearest to u? (a) -3 (b) -0.2 (c) -8 b Let q = -5 - -2. Let m = q - -3.3. Which is the closest to 0.1? (a) 2/9 (b) m (c) 4 a Let c = -0.3 + 1.3. Let w = -188 + 187.8. Suppose 5*p + 4*u = 8, -2*u = -p - p + 14. What is the nearest to c in p, -0.5, w? w Let x = -9.2 - -2.2. Which is the nearest to 0.1? (a) x (b) 3 (c) -2/9 c Let t = 3/11 - 1/11. Let o = -10.92 + -0.08. Let y = o - -11. Which is the nearest to y? (a) t (b) 1/3 (c) -2/3 a Let a = 28 - 32. Let w = 0.1 + -3.1. What is the nearest to 0.1 in 1/2, a, w? 1/2 Suppose v + 13 = -5*g, -5*g = -3*v + 6*v + 9. Let a = g - -2. What is the closest to 0 in a, -0.2, 4? -0.2 Let p be (-3)/(-6) + 1/(-2). Which is the nearest to p? (a) 0.4 (b) 1/4 (c) -1/5 c Suppose -4 = 4*d, 0 = -y - y + d + 5. Which is the closest to 0? (a) y (b) -3 (c) 5 a Let z = 5 - 5. Let q = -4 + z. Which is the closest to 1? (a) 4 (b) q (c) 3/4 c Let l = -2 - -7. Let h = -1.1 - -1.4. What is the closest to -1 in l, h, -4? h Let c = 3/118 - -289/236. What is the nearest to 1/3 in 4/3, 0.4, c? 0.4 Let j = 0.107 + -0.107. What is the closest to j in -4, 3, -1? -1 Let m = -0.255 + 0.055. Let p = 12/7 + -2. Which is the nearest to 0.1? (a) m (b) p (c) -4 a Let d(p) = p + 11. Let x be d(-12). Which is the closest to 0? (a) 2/5 (b) x (c) -2 a Let p be (1 - (-137)/(-140))*36. Let k = p - 4/7. What is the closest to 1/3 in 3, 1/7, k? k Let z = -1.2 + 1.2. Let f = 6.89 - -0.11. Let s = -4 + f. Which is the closest to 0? (a) z (b) s (c) -0.3 a Suppose 3*p - 5 - 4 = 0. Suppose y + 2 = h, 14 - 6 = h - p*y. What is the closest to 1 in -1/7, h, 0.4? 0.4 Let o = 43/21 + -19/7. Let j be (-2)/3*(-3)/(-4). What is the nearest to j in o, -0.2, 3? o Let v = 1/23 - -21/46. Let x = 196 - 196.4. Which is the nearest to 1? (a) x (b) -1/2 (c) v c Let f = -2.1 - 0.9. Which is the nearest to f? (a) -0.06 (b) 0.2 (c) -1 c Let d be (4/15)/((-6)/(-15)). Let x = -2.02 - -0.02. What is the nearest to 2 in x, 1/2, d? d Let w = -59/161 + 15/23. Suppose 0 = 4*h + h + 25. Let r = -1 + 0. What is the nearest to -1/4 in h, w, r? w Let t = -0.19 + -3.81. Let v be (8/(-42))/(6/(-7)). Let w = -0.11 + 0.11. Which is the closest to w? (a) v (b) 0.4 (c) t a Let t = 0.3 + -0.5. Let u = -9.18 - -0.18. Let k = 9.5 + u. Which is the nearest to t? (a) -5 (b) k (c) 3/7 c Let j = -6 + 9. What is the nearest to 3 in j, 5, 3/4? j Let c = -0.23 + 12.23. Let f = -15 - 2. Let u = c + f. What is the closest to 0.2 in 2/19, u, -4/3? 2/19 Let m be (-6)/(-2) - 55/15. Let r = -1.3 + -3.7. Which is the nearest to 2? (a) m (b) r (c) 1/9 c Let r be (3 + 1)*1/(-2). Which is the nearest to -1/2? (a) 5 (b) -2/5 (c) r b Let q = -7 + 3. Which is the closest to 0? (a) q (b) 1/4 (c) -0.5 b Let b = 0.05 + 1.95. Let k = 3 - b. What is the nearest to k in -0.5, -3/5, 0? 0 Let t = 5 - 9. Let u = 2 + -5. Let n = u - t. What is the closest to n in -5, -0.5, 0.5? 0.5 Let i be (-4)/14 + (-4)/35. Let v be (0 - -1)*1/18*-2. What is the closest to i in v, 2, -3/7? -3/7 Let f be (-2)/(-156) + (-2)/(-13). Which is the nearest to -2/5? (a) 2 (b) f (c) 5/6 b Let v be 6/4 - 35/42. Which is the nearest to v? (a) 0.4 (b) 0 (c) -2/5 a Let m = 44/3 + -302/21. Which is the nearest to m? (a) -1 (b) -1/11 (c) 3/5 c Let s = 0.41 - 0.11. Which is the nearest to 1? (a) s (b) -2/5 (c) -3 a Let y = -0.16 + -6.84. Let x = 7.5 + y. Which is the closest to 0? (a) x (b) -0.3 (c) 0.4 b Let k be ((-6)/4*-1)/(-3). Let d = 1.05 - 0.05. Let o = d + -2. What is the nearest to k in 1, o, -2/21? -2/21 Let x be (2/(-8))/(9/(-18)). Let i = -0.08 - 0.92. Which is the nearest to i? (a) 0.3 (b) x (c) 2/3 a Let o(w) = -2*w**3 - 5*w**2 + 4*w + 4. Let a be o(-3). What is the closest to a in 2/11, -2/5, 3? 2/11 Let n = 0.91 + 2.09. Let u = 1 - 1.05. Let s = -0.35 + u. Which is the nearest to 1? (a) -0.3 (b) n (c) s a Suppose 24 = -15*o + 19*o. Which is the nearest to -2/5? (a) -4 (b) o (c) 3 c Let s = -2 + 3. Let r be 2/4 + s/2. Let y = 3 - 3. Which is the closest to r? (a) -5 (b) y (c) -2 b Let y = -0.054 - -0.124. What is the nearest to 0.1 in 3/5, y, -0.2? y Let n = -125.5 - -125. Let w = 0.3 + -0.5. Which is the nearest to -2? (a) w (b) 0 (c) n c Let i be 3/(-14)*32/(-24). Which is the nearest to i? (a) -6 (b) 2 (c) -1/4 c Suppose 0 = -w + 5*u - 2, 7*w + u = 3*w - 8. Let p be (w + (-17)/(-10))*-2. Which is the closest to 0? (a) p (b) -0.4 (c) -2 b Let v = -100/399 + -2/57. Let o = 4 - 3.4. Let g = o - 0.8. What is the nearest to v in 3, g, 1/2? g Let k be 2/(-9) - (-21)/54. Let w = 0.037 - 6.237. Let g = w - -6. What is the nearest to g in k, -0.3, -1? -0.3 Let n = 127/3 + -43. Let j = -59/133 + 3/19. Which is the nearest to j? (a) 0 (b) 0.2 (c) n a Let d be (10*(-3)/24)/(35/(-42)). What is the nearest to -0.1 in d, 3/7, 10/7? 3/7 Let f = 0.3 + -2.3. Let h = -84 - -84.1. Let y = -1.7 - 0.3. Which is the nearest to y? (a) -1 (b) f (c) h b Let f = -75 + 74.9. Which is the closest to f? (a) -9 (b) -1/11 (c) -1 b Let p = 52 - 49. What is the closest to 12 in 2/5, p, 2/9? p Let m = 1.08 - -0.12. Let q = m - 1. Which is the closest to q? (a) 2/7 (b) -0.1 (c) -5 a Suppose y + 4 = 2. Let u be (-48)/20 - (0 + y). What is the closest to u in 1/3, -3, 4/7? 1/3 Let i be (-11997730)/(-35) + 0 + 1. Let g = -1660494365/4844 + i. Let m = g - -2/173. Which is the nearest to 1? (a) m (b) -1/8 (c) 1/3 c Suppose 5*y = 2*d - 5*d - 37, 0 = 5*y - 4*d + 9. Which is the nearest to 2/9? (a) 1 (b) y (c) -3 a Let q be 2/4 + 31/2. Let i be 1/(-3)*(-24)/q. Let h = -5.3 - -5. Which is the nearest to i? (a) h (b) 0.5 (c) 3/8 b Let d = 5.05 + -0.05. Suppose 0 = -0*w - 2*w + 3*t - 4, -5*w + 3*t = 1. What is the closest to w in 4, 0.3, d? 0.3 Let h = 1/431 - -853/3879. Which is the closest to 1? (a) h (b) -2/7 (c) 1/2 c Suppose -2*h - 2*h - 30 = -3*k, 3 = 3*k + 5*h. Suppose k = n + 2*n. Suppose -2*d + n + 4 = 0. Which is the closest to -0.2? (a) d (b) -1/4 (c) -1 b Let t = 2.1 + -1.9. Let g be (-4)/14 + (-1)/(-7). What is the closest to t
{ "pile_set_name": "DM Mathematics" }
Put l, 2/11, h in increasing order. l, h, 2/11 Let l = -141 - -116.7. Let b = -24 - l. Let s = -2 + 4. Sort b, 5, 5/4, s in decreasing order. 5, s, 5/4, b Let v be ((-6)/12)/(14/4) - (-812)/196. Put 2, -3, 5, v, 282 in decreasing order. 282, 5, v, 2, -3 Let s = -2443 + 2449. Sort -2, s, 11 in ascending order. -2, s, 11 Let h = 112.5 + -112.6. Sort 0.6, -3/4, 0.1, 0.2, h in ascending order. -3/4, h, 0.1, 0.2, 0.6 Let v = -0.7367 - 0.2633. Let s = 0.3 - 0.5. Put 6, 0.4, s, v in increasing order. v, s, 0.4, 6 Let q be 1/2*-10 + 3. Let x be (-4)/(7/((-35)/2)*-45). Put q, x, 9 in decreasing order. 9, x, q Suppose -27*i + 655 - 460 = -66*i. Let g = 0.6 - 0.3. Sort -4, 2, g, i in descending order. 2, g, -4, i Suppose 0 = -4*y + 12, 78 = 4*z + 5*y + 71. Let k = -4 - -7. Suppose -2*n - k*n = 0. Sort -4, 2, z, n in descending order. 2, n, z, -4 Let t = 23.5 + -23. Let p = 158.6 - 151. Let s = 7.7 - p. Sort -0.21, t, s. -0.21, s, t Let w = -15023 + 15029. Sort -1, w, -2, 2, 11. -2, -1, 2, w, 11 Let l be 16/(-1) - 0 - 0. Let v(w) = 11*w**3 - 296*w**2 - 28*w + 22. Let p be v(27). Sort l, 0, -2, p in increasing order. l, p, -2, 0 Let t = 5.4 + 47.7. Let k = 52.6 - t. Sort k, 5, -38. -38, k, 5 Let h(t) = -t**2 - 7*t - 3. Let v be h(-6). Let j be -8*5/(50/(-5)). Suppose -5*n = -j*u + 2 - 0, -5*u = 10. Put v, n, 5 in ascending order. n, v, 5 Suppose 91 = -4*a - 21. Let n = a - -362/13. Put n, -4, 5, 65 in descending order. 65, 5, n, -4 Suppose -p = -4*w - 20, -2*p - 27 = -6*w - 59. Sort 2, 30, p, 17, -5 in increasing order. -5, 2, p, 17, 30 Suppose -93*b = -95*b + f + 25, 45 = 3*b - 3*f. Suppose 5*h = b*q - 7*q + 25, -2*q = 10. Let w = -0.2 - -0.3. Sort h, 1.7, w, -1/3 in ascending order. -1/3, w, 1.7, h Let t = 1191 - 1170. Put -32, t, -4 in descending order. t, -4, -32 Let p be 94/68 + 1/(-8)*(53 + -41). Put -5/4, p, 5 in descending order. 5, p, -5/4 Let m = 10 + -19. Let d = -14 - -9. Let t be (-1*(-6)/(-12))/(4/16). Sort 2, m, t, d in increasing order. m, d, t, 2 Suppose 49*d - 185 = -28 + 39. Put -5, 14, d, 103 in decreasing order. 103, 14, d, -5 Let j be 949*(37/(-19) - -2). Let n = -50 + j. Suppose -4*s + 6 = -14, -5*y = s + 20. Put n, y, 1 in ascending order. y, n, 1 Let w = -11 - -20. Let j be (37 + -37)/(-18 - -19). Sort 1, w, -1, j in increasing order. -1, j, 1, w Let z(s) = 50*s + 545. Let v be z(-11). Put v, 0, -3 in ascending order. v, -3, 0 Let y = 654 + -650. Suppose -11*w + 3 = -12*w. Sort y, 3, -9, w. -9, w, 3, y Suppose -15 = 49*j - 50*j - g, 2*g = 5*j - 19. Sort -2, -3/7, j, 0.1. -2, -3/7, 0.1, j Suppose 32*q = 76 - 12. Suppose 4*f + 2*i - 16 = 0, 7 = 3*f + 6*i - 2*i. Put f, 0, 1, q in descending order. f, q, 1, 0 Let w(b) = 0*b**2 + 36 - 17*b + 7*b**2 - 4*b**2 - 4*b**2. Let h be w(-19). Sort 5, 4, h, -16. -16, h, 4, 5 Let w(v) = 91*v - 1998. Let d be w(22). Let i be (-13)/(-3) - 2/6. Suppose -s + i*s = 18. Sort 1, s, d, -4. -4, 1, d, s Suppose 5*i - 2*o = i + 2, 6 = -2*o. Let m(y) = y**3 + y**2 - y + 4. Let r be m(0). Let n = -799 + 795. Put n, r, 5, i in ascending order. n, i, r, 5 Let r = 43/6 - 7. Let g(j) = -j - 11. Suppose -39*y = -35*y + 84. Let v be g(y). Put -0.4, v, r in ascending order. -0.4, r, v Suppose 8*o - 3*o + 15 = 0. Let p = 1665 + -1666. Put p, 5, 4, o in increasing order. o, p, 4, 5 Let r = -5.1 + 5. Suppose 0 = 60*k - 70*k - 500. Let a be k - -50 - 2/(2 - 1). Put r, a, 9/4 in descending order. 9/4, r, a Let o = 2924 + -2926.2. Sort o, 2/13, 0.3, -3. -3, o, 2/13, 0.3 Let p = 7 + -3. Let a = 490.9 + -491.3. Sort p, 5, a, 7 in increasing order. a, p, 5, 7 Let k = -8365 + 8357. Put -10, 0, k in descending order. 0, k, -10 Let o = -0.09 - -7.09. Let l = 17 + -6. Let a = l - o. Sort a, -2/5, -0.07. -2/5, -0.07, a Suppose -3*x + 2200 = -5*o - 770, -x + 990 = o. Let f = 994 - x. Sort 70, f, -2 in ascending order. -2, f, 70 Let n(v) = 4*v - 4. Let l be n(4). Suppose 4*z = 9*z - 5*o - 30, -2*z + l = -3*o. Put 4, -1, 3, z in increasing order. -1, 3, 4, z Let b = -194.14 + 336.9. Let o = 143 - b. Sort 1/2, o, 3 in decreasing order. 3, 1/2, o Suppose -10*u + 5*f = -6*u - 95, -3*f - 15 = -u. Let a = u + -149/5. Let g = -1 - -1. Sort a, 7/4, g in descending order. 7/4, a, g Suppose 0 = -2*s - 5*p, 6*p - 4*p = -8. Let l be 276/30 - 9 - (-38)/s. Let c = -0.01 - 1.99. Put -2/11, c, 3, l in decreasing order. l, 3, -2/11, c Let b(v) = -v**2 - 46*v - 443. Let l be b(-14). Sort l, 1, 0, 2, 134 in descending order. 134, l, 2, 1, 0 Suppose 67 = -0*w - w - 2*a, 5*a - 102 = w. Let s be (110/w)/((-2)/7). Let o = 184/801 + -2/267. Put o, s, -1 in descending order. s, o, -1 Let t = 29 - 25. Suppose 0 = -4*a - 5*k + 1, 49*a - 5*k + 43 = 46*a. Sort t, -2, a in increasing order. a, -2, t Suppose -h + 5*u = 10, -33*h = -35*h + u + 7. Suppose -27*m + 32*m = 0. Sort h, m, 0.5 in descending order. h, 0.5, m Suppose 0 = 4*v - 714 + 94. Let b = v - 158. Suppose -5 = 4*q - 1. Put -5, 2, q, b in increasing order. -5, b, q, 2 Let a be -4 + 1 - (2 + -5). Let j = -5 + 7. Let i(f) = -f**3 - 17*f**2 - 13*f + 44. Let t be i(-16). Sort j, t, a, 1. t, a, 1, j Let u(y) = 4*y + 1. Suppose 5*k = -5*q - 20, q - 4*q + 3*k = -18. Let f be u(q). Suppose -40 = 23*z - 27*z. Sort 2, z, f in descending order. z, f, 2 Suppose 0 = -3*z + 8*z - i, 29*i - 25*i - 20 = 0. Sort 434, 2, z in ascending order. z, 2, 434 Let q = -10965 - -10965. Sort 100, 0.2, q, -2, -1. -2, -1, q, 0.2, 100 Let r(b) = -b**3 - 19*b**2 - 17*b + 20. Let v be r(-18). Let k be (1/(1/v))/(195/13). Sort k, -0.5, 5 in ascending order. -0.5, k, 5 Suppose 0 = -3*i - 2*o + 174, -24 = 2*i - o - 133. Suppose -5*u - 71 = -i. Sort -2, u, -1 in descending order. -1, -2, u Suppose 0 = -3*k - 4*x + 132, -3 = -3*x + 6. Suppose -24*q - k = -34*q. Sort q, -3, -14 in decreasing order. q, -3, -14 Let q = -2 - -1. Let v be 148/12 + (-1104)/92. Put -2/39, q, v in decreasing order. v, -2/39, q Let m(h) = 2*h**2 + 53*h + 27. Let c be m(-26). Let t be (7 - 12) + 0 + -117. Put t, c, 0 in decreasing order. c, 0, t Let q = 13 + -14. Suppose 14 = -2*r - 2*m, 4*r + m + m = -20. Let l be (-7 - -4)*(-4)/r. Put 3, -5, l, q in decreasing order. 3, q, l, -5 Suppose -1 = -2*z + 15. Let r = -6 + z. Suppose -107*p + 103*p = -4*g - 8, -14 = 5*g - p. Put 7, g, r in decreasing order. 7, r, g Let o = -19 + 9. Let y be (0 + 4)/(20/(-26))*o. Let z = -55 + y. Put 2, -17, 5, z in decreasing order. 5, 2, z, -17 Let c(x) be the third derivative of x**5/60 + 2*x**4/3 + 9*x**3 - 7*x**2 + 1. Let w be c(-11). Put 6, w, 2, 3 in decreasing order. 6, 3, 2, w Suppose x = -3*f - 11, x = -2*f - 9 + 3. Suppose 5 = c, 2*p - c - 254 = -799. Sort p, -5, x in decreasing order. x, -5, p Suppose 24 = -7*t + 3*t. Let f be 16/t - (-18)/27. Let l = -7 + 11. Put 5, f, 2, l in descending order. 5, l, 2, f Let l be (-8)/(-3)*(-147)/(-392). Sort l, -251, 2 in decreasing order. 2, l, -251 Suppose -12 = -3*j + 3. Suppose 0*l = -l + j. Suppose -2*w + l*p + 46 = 12, -p = 5*w - 58. Sort 0, w, 2. 0, 2, w Let a be (-11)/(-99)*(-6)/(-4). Let f = 0.64 + -10.64. Put 5, f, a in ascending order. f, a, 5 Let k = 106 - 142. Let w = k - -8. Sort 2, w, 1/3 in ascending order. w, 1/3, 2 Let f = -41/4 + 221/20. Suppose -2*m - 2*r = -6, -4*m - 2*r + 12 = -5*r. Let v be (-1)/(4 - ((4 - 4) + m)). Sort f, v, 5 in descending order. 5, f, v Suppose 9018 - 9034 = 16*c. Put -3, -5, 15, c in decreasing order. 15, c, -3, -5 Let y = 34 + 11. Let q = 46 - y. Sort -2, q, 4 in descending order. 4, q, -2 Let n = -0.006 - 2.314. Let q = 2.42 + n. Sort q, 3, -4, 2/3. -4, q, 2/3, 3 Suppose r - 2 = 4*b - 3, -2*r - 3*b = -53. Let s = 14 - r. Let m = 72 - 74. Sort 4, m, s in increasing order. s, m, 4 Let y(d) = -5*d + 61. Let i be y(17). Let r be 9*5/60*(i - 0). Sort -4, r, -5 in ascending order. r, -5, -4 Let g(w) = 2*w**3 - 7*w**2 + 8*w - 13. Let k be g(3). Let z be 15/54 - 1/k. Put 4, 3, z, -3 in decreasing order. 4, 3, z, -3 Let v = -542.318 - -0.318. Let u = v + 543. Put u, 0.12, 2, -3 in decreasing order. 2, u, 0.12, -3 Let h(k) = k**2 + 5*k - 18. Let j be h(-7). Sort j, -3, 6. j, -3, 6 Let w = 0.2 - -0.3. Let i = 0.379 + -0.979. Let k(s) = s**2 - 8*s - 13. Let g be k(9). Put w, 2/3, g, i in increasing order. g, i, w, 2/3 Let q = 40 - -66. Let o = 101.84 - q. Let x = -0.16 - o. Sort 0.4, 2/9, x, 1/6 in in
{ "pile_set_name": "DM Mathematics" }
*3 + 1204*x**2 + 3204*x - 4536 = 0. -14, -9, 1 What is z in z**2 + 279*z/4 - 295 = 0? -295/4, 4 Factor -2*n**2/25 + 122584*n/25. -2*n*(n - 61292)/25 Let 4*q**3/21 - 1198*q**2 - 4194*q/7 + 12580/21 = 0. Calculate q. -1, 1/2, 6290 Factor -f**4/3 - 1127*f**3/3 + 2257*f**2/3 - 1129*f/3. -f*(f - 1)**2*(f + 1129)/3 Factor -4*q**4 + 5264*q**3 - 1633216*q**2 - 65804544*q. -4*q*(q - 676)**2*(q + 36) Determine h, given that 8*h**5/7 + 1208*h**4/7 + 11322*h**3/7 + 5116*h**2/7 - 112970*h/7 + 95316/7 = 0. -141, -13/2, 1, 2 Determine d, given that -15*d**5/4 - 2525*d**4/4 - 3885*d**3 - 6085*d**2 - 1620*d = 0. -162, -4, -2, -1/3, 0 Factor l**2/3 + 189748*l/3 + 9001075876/3. (l + 94874)**2/3 Determine f so that -2*f**4 - 1956*f**3/7 - 1282*f**2 - 8616*f/7 + 3240/7 = 0. -135, -3, -2, 2/7 Factor s**3 - 448*s**2 + 6927*s - 6480. (s - 432)*(s - 15)*(s - 1) Factor 3*l**3 + 31833*l**2 + 286308*l + 572508. 3*(l + 3)*(l + 6)*(l + 10602) Factor -5*c**3 - 2170*c**2 - 25500*c - 75960. -5*(c + 6)**2*(c + 422) Suppose -4*w**2/7 - 1436*w/7 - 1408 = 0. What is w? -352, -7 Factor -5*t**2 - 57245*t + 515610. -5*(t - 9)*(t + 11458) Let 5*l**3 + 8295*l**2 - 24980*l - 83100 = 0. Calculate l. -1662, -2, 5 Factor -841*w**4 - 39614*w**3 - 682249*w**2 - 5081520*w - 13838400. -(w + 15)**2*(29*w + 248)**2 Factor -780*w**2 + 1047*w - 213. -3*(4*w - 1)*(65*w - 71) Find x such that -21*x**5/2 - 309*x**4/2 + 1791*x**3/2 + 1509*x**2/2 - 285*x = 0. -19, -1, 0, 2/7, 5 Solve -5*d**5 - 328*d**4 - 4313*d**3 - 12202*d**2 - 7148*d + 5096 = 0. -49, -13, -2, 2/5 Factor -8*s**2 + 15740*s + 23628. -4*(s - 1969)*(2*s + 3) Suppose 3*x**4/8 - 375*x**3/2 - 576783*x**2/8 - 5433438*x - 5361528 = 0. Calculate x. -136, -1, 773 Solve 3*i**3 - 996*i**2 + 44175*i - 528750 = 0. 25, 282 What is p in -6*p**5 + 448*p**4/5 - 1158*p**3/5 - 756*p**2 - 2144*p/5 = 0? -1, 0, 8, 134/15 Suppose 3*z**3/4 + 20793*z**2 + 144116283*z = 0. What is z? -13862, 0 What is b in 2*b**5 - 162*b**4 + 852*b**3 + 3548*b**2 + 3882*b + 1350 = 0? -1, 9, 75 What is m in 14154926059*m**4/2 - 14084707327*m**3/2 - 35051310*m**2 - 58024*m - 32 = 0? -4/2419, 1 Factor -12*c**3 + 316*c**2 - 1160*c + 352. -4*(c - 22)*(c - 4)*(3*c - 1) Solve -6*d**5/7 + 69*d**4/7 - 33*d**3 + 321*d**2/7 - 195*d/7 + 6 = 0. 1/2, 1, 2, 7 Factor 2*b**3 - 449528*b**2 + 25259427848*b. 2*b*(b - 112382)**2 Factor 8*w**3 - 17292*w**2 + 43188*w - 17272. 4*(w - 2159)*(w - 2)*(2*w - 1) Factor -3*m**4 - 66*m**3 - 471*m**2 - 1188*m - 972. -3*(m + 2)**2*(m + 9)**2 Determine b, given that -12*b**5 + 63891*b**4 - 79848*b**3 + 15969*b**2 = 0. 0, 1/4, 1, 5323 Let 2*x**2/11 + 148*x/11 - 1312/11 = 0. What is x? -82, 8 Solve -s**5/3 + 1348*s**4/3 - 1339*s**3 - 8070*s**2 = 0. -3, 0, 6, 1345 Determine m, given that m**5 + 9*m**4 - 36*m**3 - 324*m**2 = 0. -9, -6, 0, 6 Factor -x**3/2 - 167*x**2/2 - 1153*x - 1976. -(x + 2)*(x + 13)*(x + 152)/2 Suppose -2*b**5/11 - 554*b**4/11 - 47932*b**3/11 - 1277356*b**2/11 - 5765058*b/11 + 7090902/11 = 0. Calculate b. -117, -37, -7, 1 Suppose -8*k**5/7 - 18*k**4/7 + 8*k**3/7 + 18*k**2/7 = 0. Calculate k. -9/4, -1, 0, 1 Factor 2*o**3 + 546*o**2 - 6212*o + 10224. 2*(o - 9)*(o - 2)*(o + 284) Factor -5*m**2 + 265*m - 1410. -5*(m - 47)*(m - 6) Suppose -3*a**3/7 + 5353*a**2/7 + 1276*a - 3572/7 = 0. Calculate a. -2, 1/3, 1786 Find l, given that 300*l**2 - 23697*l - 237 = 0. -1/100, 79 Factor 4*u**5 + 1868*u**4 - 5628*u**3 + 5636*u**2 - 1880*u. 4*u*(u - 1)**3*(u + 470) Solve -2*o**3 - 184*o**2 - 158*o + 2184 = 0. -91, -4, 3 Let -3*s**2 - 759*s - 2250 = 0. Calculate s. -250, -3 Solve 19*h**4 - 10315*h**3 - 11422*h**2 - 1088*h = 0 for h. -1, -2/19, 0, 544 Factor 3*z**2/2 + 1245*z/2 + 62244. 3*(z + 168)*(z + 247)/2 Suppose -r**3 + 384*r**2 + 70848*r - 29262848 = 0. What is r? -272, 328 Factor -5*g**5 - 410*g**4 - 360*g**3 + 3590*g**2 - 4435*g + 1620. -5*(g - 1)**3*(g + 4)*(g + 81) Factor -4*u**2 - 540*u + 119416. -4*(u - 118)*(u + 253) Factor -5*m**2 - 25630*m + 205360. -5*(m - 8)*(m + 5134) Suppose -t**5/7 - 51*t**4/7 - 44*t**3/7 + 300*t**2/7 = 0. Calculate t. -50, -3, 0, 2 Let 3*g**2 - 206046*g + 3537912843 = 0. What is g? 34341 What is r in -5*r**4 - 630*r**3 + 2585*r**2 - 1950*r = 0? -130, 0, 1, 3 Factor -3*u**2 + 2445*u - 160488. -3*(u - 743)*(u - 72) Solve -3*s**5 + 28488*s**4 - 56952*s**3 - 113952*s**2 + 227856*s = 0 for s. -2, 0, 2, 9494 Find v such that 3*v**4 + 60*v**3 - 318*v**2 - 6180*v - 17325 = 0. -21, -5, 11 Factor 325*q**3/4 + 2595*q**2/4 - 10*q. 5*q*(q + 8)*(65*q - 1)/4 Suppose -o**2/4 - 135*o/4 + 497/2 = 0. Calculate o. -142, 7 Suppose -2*v**2 - 2720*v - 113262 = 0. What is v? -1317, -43 What is t in -3*t**5/2 - 57*t**4 - 411*t**3/2 - 42*t**2 + 306*t = 0? -34, -3, -2, 0, 1 Factor -2*u**3 - 72*u**2 - 106*u + 1020. -2*(u - 3)*(u + 5)*(u + 34) Factor -t**2/4 - 12203*t/2 - 148913209/4. -(t + 12203)**2/4 Suppose l**3/6 + 738*l**2 + 1590287*l/2 - 145900421/3 = 0. Calculate l. -2243, 58 Let -3*o**5/5 + 2319*o**4/5 + 45204*o**3/5 - 9504*o**2 = 0. What is o? -20, 0, 1, 792 Let -m**2/8 - 7197*m/8 + 18005/4 = 0. Calculate m. -7202, 5 Solve l**3/6 + 56*l**2/3 + 895*l/2 + 3075 = 0 for l. -82, -15 Factor -2*s**2/11 + 39088*s/11 - 78168/11. -2*(s - 19542)*(s - 2)/11 What is x in 62*x**4/25 + 206*x**3/5 + 4628*x**2/25 - 2136*x/25 - 37296/25 = 0? -7, -6, 74/31 Factor 278*x**3/7 - 2264*x**2 + 114*x/7. 2*x*(x - 57)*(139*x - 1)/7 Factor 2*r**2 - 6297020*r + 4956557610050. 2*(r - 1574255)**2 Solve -3*m**2/7 + 36642*m/7 - 111886347/7 = 0. 6107 Factor -m**3/2 - 58987*m**2/2 - 869896035*m/2 - 869837049/2. -(m + 1)*(m + 29493)**2/2 Suppose -2*x**3/13 - 84554*x**2/13 - 893122510*x/13 + 894222050 = 0. Calculate x. -21145, 13 Determine a, given that -2*a**3/9 - 3160*a**2 - 33710878*a/3 - 202151524/9 = 0. -7109, -2 Determine f, given that 3*f**5/5 + 15*f**4 - 759*f**3 + 6705*f**2 - 68688*f/5 = 0. -53, 0, 3, 9, 16 Factor -25*b**4/2 - 9900445*b**3 - 2613833645220*b**2 - 230027119090579440*b + 92011265850248640. -5*(b + 264012)**3*(5*b - 2)/2 Factor w**3/2 + 13*w**2/2 - 127*w + 120. (w - 10)*(w - 1)*(w + 24)/2 Solve -3*o**3 - 5844*o**2 - 2804679*o + 40419162 = 0. -981, 14 Find w, given that -4*w**5 + 13444*w**4 + 40372*w**3 - 13444*w**2 - 40368*w = 0. -3, -1, 0, 1, 3364 Suppose z**5/10 + 21*z**4/2 + 819*z**3/5 + 3179*z**2/5 + 8217*z/10 + 3393/10 = 0. Calculate z. -87, -13, -3, -1 Find r, given that 12*r**2/13 - 12590*r/13 + 2098/13 = 0. 1/6, 1049 Find j such that -2*j**2/5 + 82280*j - 4231249000 = 0. 102850 Factor 3*o**3 + 645*o**2 + 4200*o - 3822000. 3*(o - 65)*(o + 140)**2 Factor 4*n**2 - 19760*n. 4*n*(n - 4940) Factor -35*u**3 - 8410*u**2 + 40475*u + 12250. -5*(u - 5)*(u + 245)*(7*u + 2) Factor 2*j**3/5 + 66*j**2/5 - 612*j/5 - 18496/5. 2*(j - 17)*(j + 16)*(j + 34)/5 Solve -4*g**3/3 - 3316*g**2 - 39648*g - 118800 = 0. -2475, -6 Factor -3*t**3 - 8316*t**2 - 5695884*t + 93275328. -3*(t - 16)*(t + 1394)**2 Factor -16*g**2 + 340*g - 1596. -4*(g - 7)*(4*g - 57) Factor -z**2/3 + 6575*z/3 - 4382. -(z - 6573)*(z - 2)/3 Let b**4/3 - 104278*b**3/3 + 905984627*b**2 + 27187360160*b/3 + 67974918400/3 = 0. Calculate b. -5, 52144 Suppose -4*z**5 + 1908*z**4 - 264201*z**3 + 8319070*z**2 + 8518176*z + 2146176 = 0. Calculate z. -1/2, 46, 216 Let y**3/7 + 958*y**2/7 + 4765*y/7 = 0. What is y? -953, -5, 0 What is g in -4*g**4 - 39*g**3 - 89*g**2 + 36*g + 180 = 0? -6, -3, -2, 5/4 Find d, given that -5*d**5 + 35*d**4 + 285*d**3 + 205*d**2 - 280*d - 240 = 0. -4, -1, 1, 12 Find g, given that 9*g**3/5 + 129*g**2/5 + 6*g - 168/5 = 0. -14, -4/3, 1 Let 3*g**5 - 452*g**4 + 6404*g**3 - 7814*g**2 - 20343*g - 5670 = 0. What is g? -1, -1/3, 3, 14, 135 Factor 5*f**4/4 - 6165*f**3/4 + 702780*f**2 - 140847040*f + 10489451520. 5*(f - 417)*(f - 272)**3/4 Solve -27*p**5 - 191*p**4 + 1606*p**3 + 3144*p**2 - 18784*p - 1408 = 0 for p. -11, -4, -2/27, 4 What is y in -y**4/6 - 5069*y**3/6 - 10135*y**2/6 - 1689*y/2 = 0? -5067, -1, 0 Suppose 4*b**2 + 2927584*b + 535671754816 = 0. What is b? -365948 Solve 21*d**5/5 + 125322*d**4/5 + 185317206*d**3/5 - 4935862212*d**2/5 + 33272265429*d/5 - 9107757126/5 = 0. -2997, 2/7, 13 What is a in a**4/6 + 3179*a**3/6 - 22351*a**2/2 + 470057*a/6 - 548800/3 = 0? -3200, 7 Let 5*i**5 + 715*i**4 + 1410*i**3 = 0. What is i? -141, -2, 0 Let 3*z**3/4 + 52284*z**2 + 911310111*z + 3644403948 =
{ "pile_set_name": "DM Mathematics" }
17*m*w**3 - 14*m*w**2 - 263*m*w - 3*w**4 - 2*w**3 - w**2 - 65*w + 2 wrt w. 24*m*w + 1119102*m - 72*w - 12 Find the third derivative of 423687020*g**4 - 4*g**2 - 478*g - 20073. 10168488480*g Find the third derivative of -s**5 - 1247481*s**4 - 6*s**3 - 2*s**2 - 664*s - 982. -60*s**2 - 29939544*s - 36 Find the third derivative of 17*f**4 - 805686*f**3 - 33759361*f**2. 408*f - 4834116 What is the third derivative of -1431968*y**3 + 17166*y**2 + 683 wrt y? -8591808 What is the third derivative of -34*a**5 + 82383*a**3 + 24981240*a**2 wrt a? -2040*a**2 + 494298 What is the second derivative of -28405349*f**2*x + 8711*f*x - 2*x - 5 wrt f? -56810698*x What is the second derivative of -1632*o*s**3 + 22060*o + 612*s**4 - 226*s wrt s? -9792*o*s + 7344*s**2 Find the third derivative of -7179*g**2*t**3 - 2*g**2*t**2 - 6297038*g**2*t + 2*g*t**4 - 419*t**4 + 2*t**2 - 3*t + 2 wrt t. -43074*g**2 + 48*g*t - 10056*t What is the third derivative of -69291060*w**3 - 96*w**2 + 2034*w + 22 wrt w? -415746360 Find the second derivative of 450942370*z**2 - 11518752*z - 11 wrt z. 901884740 Find the third derivative of 9130716*g**6 - 211851764*g**2 wrt g. 1095685920*g**3 Differentiate -16702103*b*c - 570579*c - 16 with respect to b. -16702103*c Find the third derivative of g**3*n**3*q + 2*g**3*n**2*q**2 + g**3*n**2*q + 3045*g**3*n**2 - 2837023*g**2*n**3*q**2 + 12*g**2*n**2*q - 18*q**2 wrt n. 6*g**3*q - 17022138*g**2*q**2 Find the first derivative of g**2*o**3 - 143653728*g**2 - 62003328*g*o**3 wrt o. 3*g**2*o**2 - 186009984*g*o**2 Differentiate 76713403*f - 53865917. 76713403 What is the derivative of -2*f**2*j**2 - 2*f**2 + 10964753*f*j**3 + 3579990*f - 1 wrt j? -4*f**2*j + 32894259*f*j**2 Find the third derivative of -4*i**4 + 47331187*i**3 - 266806089*i**2. -96*i + 283987122 What is the derivative of -17802087*t + 25085950 wrt t? -17802087 Find the third derivative of 807862*b**6 + 943454*b**2 - 4*b. 96943440*b**3 What is the first derivative of -6959101*w**2 - 8490008 wrt w? -13918202*w Differentiate -41*g**2*y**2 - 587422579*g**2 - 9538292*g*y**4 with respect to y. -82*g**2*y - 38153168*g*y**3 Find the third derivative of 2*s**4 + 19446468*s**3 + 3335*s**2 - 72*s + 1. 48*s + 116678808 Find the third derivative of 26*j**2*y**3 + 17*j**2*y + 2*j**2 - 4*j*y**2 + 2*j + 157958*y**3 - 5*y**2 + 4*y wrt y. 156*j**2 + 947748 Differentiate 2*g**2*q + 154784291*g**2 - 15*g*q**2 + 18343*g*q wrt q. 2*g**2 - 30*g*q + 18343*g What is the third derivative of 3597317*q**3 + 2007*q**2 + 4656*q wrt q? 21583902 Find the third derivative of 14*p**5 + 6*p**4*t**3 - 221*p**4 + 2*p**2*t**3 + 2*p**2*t + 8*p*t**3 - p*t - 2986*t**3 wrt p. 840*p**2 + 144*p*t**3 - 5304*p Find the first derivative of c**4 + 1928*c**3 + 9*c**2 - 5*c + 9019713. 4*c**3 + 5784*c**2 + 18*c - 5 Find the second derivative of -50463*w**4 + 14*w**3 - 82772*w + 49 wrt w. -605556*w**2 + 84*w Differentiate 20907940*h*k - h - 25229424*k wrt h. 20907940*k - 1 Find the first derivative of -63679882*l**3 + 160162008. -191039646*l**2 What is the second derivative of 3400375*z**2 - 4173694*z? 6800750 Differentiate 419*k**2 - 12779*k - 16854209. 838*k - 12779 Find the second derivative of 1120336*j**3 - 26*j**2 - 2*j - 27594712 wrt j. 6722016*j - 52 Find the second derivative of -10869662*n**2 - 5*n + 1124222 wrt n. -21739324 Find the second derivative of 5447882*n*y**3 + 2*n*y - 69*n - 5*y - 35 wrt y. 32687292*n*y Find the second derivative of 10*p**4 + 822*p**3 + 10*p**2 + 497*p + 9137. 120*p**2 + 4932*p + 20 Differentiate 10*g*r**2 + 44080*g*r + 3*g - 26839951*r**2 wrt g. 10*r**2 + 44080*r + 3 Find the third derivative of 9382*z**4 + 19*z**3 + 17519653*z**2 wrt z. 225168*z + 114 Find the third derivative of 6694156*p**4 - 2*p**2 + 894*p + 63 wrt p. 160659744*p What is the second derivative of 654800363*b**2 - 452205*b - 243 wrt b? 1309600726 What is the derivative of 218206065*v**2 - 227773509 wrt v? 436412130*v What is the second derivative of -22737703*r*w**2 + 25*r*w - 3626*r - 4*w - 9 wrt w? -45475406*r Find the first derivative of -13038113*g + 2430854. -13038113 What is the second derivative of 577359248*n**2 + 134*n - 2723911 wrt n? 1154718496 Find the third derivative of -2*c*g**5*o + 662236*c*g**3*o + 2*c*g**2 + c*g - c*o - 16*g**2*o + 28*g - 1 wrt g. -120*c*g**2*o + 3973416*c*o Find the second derivative of 508785*a*z**2 - 3*a*z - 18569*a + 12*z**2 + 92*z wrt z. 1017570*a + 24 Differentiate 552729812*u + 598877833. 552729812 What is the third derivative of -98019395*a**3*k + 4*a**3 + 109*a**2*k - 2*a**2 - 3*a - 384*k + 13 wrt a? -588116370*k + 24 What is the second derivative of 302182335*n**5 - 232329625*n wrt n? 6043646700*n**3 Find the second derivative of -2850812*m**3 - 29*m + 113114. -17104872*m What is the first derivative of 4240200*z + 4976638 wrt z? 4240200 Find the first derivative of -93*s**3 + 71899*s**2 - 2*s - 60753842 wrt s. -279*s**2 + 143798*s - 2 What is the second derivative of -10609672*a**5 + 158782360*a wrt a? -212193440*a**3 Find the third derivative of 1798*b**5 + 16*b**3*l - 9*b**3 - 5*b**2*l + b**2 + 18400*b*l - 2*b + l wrt b. 107880*b**2 + 96*l - 54 What is the third derivative of -9896203*s**6 + 3497*s**2 - 6*s - 6? -1187544360*s**3 What is the first derivative of 8*n*r + 128*n + 6015131*r - 178587 wrt r? 8*n + 6015131 Differentiate l*x**2*y + 4*l*x**2 - 462*l*y - 288*l + 139906014*x**2*y wrt l. x**2*y + 4*x**2 - 462*y - 288 What is the second derivative of 143*w**4 + 2*w**3 - 252*w**2 - 14236476*w? 1716*w**2 + 12*w - 504 What is the first derivative of -45842372*y**2 + 47756881 wrt y? -91684744*y What is the third derivative of -7760174*f**4 - 1867*f**2 - 262*f - 5 wrt f? -186244176*f Find the third derivative of 523514*m**5 + 170*m**4 - 22420597*m**2. 31410840*m**2 + 4080*m What is the third derivative of 520620*q**4 - 79*q**3 - 51*q**2 - 151805 wrt q? 12494880*q - 474 What is the first derivative of 2796*l**3 - 28224*l**2 - 445625600? 8388*l**2 - 56448*l What is the third derivative of 3*l**5 - 58232*l**4 - 9*l**3 - 967*l**2 - 28897 wrt l? 180*l**2 - 1397568*l - 54 Find the third derivative of -28817*i**6 + 30*i**4*l**2 + 299575*i**2*l**2 - 2*i*l**2 + 2*l wrt i. -3458040*i**3 + 720*i*l**2 Find the third derivative of -433977*i**4 + i**3 + 2*i**2 + 3051430*i. -10415448*i + 6 Find the second derivative of 203*b**3 - 439687*b**2 - 81*b + 879051 wrt b. 1218*b - 879374 What is the second derivative of 1366*b**5 - 180*b**2 - 151626926*b wrt b? 27320*b**3 - 360 Differentiate 114*n**2*t**4 - 9741*n**2 + 4087*n*t**2 - 88*n + 5*t wrt t. 456*n**2*t**3 + 8174*n*t + 5 What is the second derivative of -69*b**2*p**2*r**2 - 112823*b**2*r**3 + 2*b*p**2*r**2 + 312*b*p - 6*b*r**3 - 2*p**2*r + 3*p*r**2 + 7 wrt b? -138*p**2*r**2 - 225646*r**3 What is the derivative of -12411432*g*j**2 + 17304*j**2 - 159*j wrt g? -12411432*j**2 Find the first derivative of 46213288*u**2 + u + 60348451. 92426576*u + 1 Find the third derivative of -32983448*h**3 + 52308626*h**2. -197900688 What is the third derivative of -5690969*a**5 + 14663677*a**2 - a? -341458140*a**2 Find the third derivative of -13990138*i**3 + 53285917*i**2 wrt i. -83940828 Find the first derivative of 6097231*b**2*q**2 - 28552887*b**2 - 2*b*q**3 - 2*q wrt q. 12194462*b**2*q - 6*b*q**2 - 2 Find the third derivative of 48499257*z**3 - 617*z**2 - 21105*z. 290995542 What is the third derivative of 3*b**2*f - 2145*b**2*i**3 - 20*b**2*i**2 - 6*b*f*i**3 + b*f*i**2 - b*f + 5556*b + 1519*f*i**3 + 4*f*i**2 - 3*i wrt i? -12870*b**2 - 36*b*f + 9114*f What is the first derivative of -28927417*i*o**2 + 480*o**2 + 46*o - 8 wrt i? -28927417*o**2 Find the third derivative of -2425*m**2*p**5 + m**2*p**2 + 47002*m**2*p + m**2 - 654*p**6 - 87*p**2 wrt p. -145500*m**2*p**2 - 78480*p**3 What is the second derivative of 16501644*f**2 + f + 6619511 wrt f? 33003288 What is the first derivative of -571630450*c**2*k**4 + 10993*c**2 + 8112 wrt k? -2286521800*c**2*k**3 Find the first derivative of -142285*b**3 - 253*b - 376077862. -426855*b**2 - 253 Find the second derivative of -1742*c**3*y**2 + 64*c**3*y - 12*c*y**2 - 699*c + y**2 - 4 wrt c. -10452*c*y**2 + 384*c*y What is the first derivative of 2*h**2*i + 37140*h**2*r + 6*h**2 + 3778*h*i*r - 6133*h*i + 17*h + 8*i wrt r? 37
{ "pile_set_name": "DM Mathematics" }
t(833) - (sqrt(833) - sqrt(833)*1) - sqrt(833)) + sqrt(833))) + -1)**2. 4 Simplify sqrt(104)/((sqrt(80)/sqrt(5))/sqrt(2) + sqrt(8)) + sqrt(13) + sqrt(13) + -1 + sqrt(1300) + (-1*sqrt(78))/sqrt(6) + 5. 4 + 23*sqrt(13)/2 Simplify ((-2*sqrt(110)*-5)/sqrt(11))/(sqrt(18)/(sqrt(45)/sqrt(5)*-5)). -50*sqrt(5) Simplify (sqrt(132)*-2 + sqrt(297)*-5)/(-1*sqrt(192)*-1). -19*sqrt(11)/8 Simplify ((3 + sqrt(68))*-6 - (sqrt(153) - sqrt(153)*2)*2)**2. 216*sqrt(17) + 936 Simplify ((sqrt(432)/sqrt(6) + 5*(sqrt(8) + sqrt(8)*1))/(4*sqrt(16)/sqrt(4)*5))**2. 169/200 Simplify (sqrt(48) - sqrt(192) - (0 + sqrt(6)/sqrt(2))) + -5 + (-4 + (sqrt(3) + sqrt(3) + 2 - sqrt(3)))**2. -9*sqrt(3) + 2 Simplify ((4*sqrt(132))/sqrt(3))/(sqrt(576) + sqrt(576) + -1*sqrt(576) + sqrt(576) - sqrt(4) - sqrt(4)). 2*sqrt(11)/11 Simplify sqrt(9)/(sqrt(48)*1) + 4 + sqrt(300) + 0 + sqrt(3) + (sqrt(27) - (sqrt(27) + 3)) + sqrt(27) + sqrt(3). 1 + 61*sqrt(3)/4 Simplify (sqrt(912)*-2 - sqrt(5700)*-2)/((2*sqrt(363) - sqrt(363))*5). 12*sqrt(19)/55 Simplify (sqrt(17) - sqrt(136)/(sqrt(8)*-1)) + sqrt(425) + 2 + (1*(sqrt(102)*1*-6)/sqrt(6))**2. 7*sqrt(17) + 614 Simplify (6*(3 + (sqrt(52) + (sqrt(156)/sqrt(3) - sqrt(52))*-6)/sqrt(324)))**2. 24*sqrt(13) + 2968/9 Simplify ((4 + sqrt(1216) + -2 + (-4*(sqrt(1216) - sqrt(1216)*-3) - sqrt(1216)))*-5*2)**2. -51200*sqrt(19) + 31130000 Simplify (2*sqrt(425) + -2*sqrt(17)*-6)**2 + 3 - (-5 + (-2 + (sqrt(1377)*2 - sqrt(1377)))**2). 36*sqrt(17) + 6855 Simplify (4*5*sqrt(140))/((-2*sqrt(2880))/sqrt(4)). -5*sqrt(7)/3 Simplify (1*(3*sqrt(117) + sqrt(117)) - sqrt(117))/(2*sqrt(225)). 3*sqrt(13)/10 Simplify (2*sqrt(70)*6 + sqrt(70))/sqrt(10) - (4*(1 + sqrt(7)) + (5 + 0 + sqrt(7))**2). -36 - sqrt(7) Simplify -6*(((sqrt(1584) + 0)*-5)**2 - (2*sqrt(1584) + -4)). -237624 + 144*sqrt(11) Simplify (3*(-1*sqrt(66) + sqrt(66))*-5)/(sqrt(72)/(sqrt(12)*-1*-1 + sqrt(12))). 0 Simplify (1*(4 + (sqrt(1900) + 0)*-5 + 0))**2. -400*sqrt(19) + 47516 Simplify 4*(0 + sqrt(405))*2*-6 + 5. -432*sqrt(5) + 5 Simplify (2*3*(-5 + ((sqrt(108)*1 + sqrt(108))*4 - sqrt(108)))*-1)**2. -15120*sqrt(3) + 191412 Simplify (1 + 2 + sqrt(832) + sqrt(832) + -2 + 4)**2. 160*sqrt(13) + 3353 Simplify 1*(sqrt(17) - (sqrt(187)/sqrt(11) + -2) - (5 + sqrt(17)*-3)). -3 + 3*sqrt(17) Simplify (-6*((sqrt(27) + 1)*-5 + -1)*5)**2. 162000*sqrt(3) + 639900 Simplify (5 + (sqrt(384)*-2*4 - sqrt(384))/(sqrt(24)/sqrt(2)*3 - sqrt(12)))**2. -180*sqrt(2) + 673 Simplify ((sqrt(80) - (sqrt(80) - (-1*sqrt(80)*2 + sqrt(80)))) + sqrt(80) + 3 - (0 + sqrt(80) + 2 - 3*(sqrt(80) + 1)))**2. 64*sqrt(5) + 336 Simplify 1 + -3 + (sqrt(38)/sqrt(2))**2*-1 + ((-1 + sqrt(931))*-6 + sqrt(931)*2*-6)**2. -1512*sqrt(19) + 301659 Simplify -3*((3 + 1*sqrt(833))**2 + -5). -2511 - 126*sqrt(17) Simplify (0 + (sqrt(242) + sqrt(242)*2)*-4 + ((sqrt(242) + sqrt(242)*2)*6 + sqrt(242) - sqrt(242)) + 2*(sqrt(242) + 1)*6)**2. 4752*sqrt(2) + 78552 Simplify sqrt(77)/sqrt(176)*-1 + (sqrt(28)*-1 - -3*(sqrt(28)/sqrt(4))**2). -9*sqrt(7)/4 + 21 Simplify 4 + (sqrt(720) - (sqrt(720) - ((sqrt(720) - 5*sqrt(720) - sqrt(720)) + 1)**2) - (-2 + sqrt(720) + (sqrt(720) + -4)**2)). -36*sqrt(5) + 17271 Simplify (((sqrt(1053)*2)**2 - sqrt(1053)) + 3 + sqrt(1053) - sqrt(1053)) + 5 - ((sqrt(13) - sqrt(13)*2) + -4 - sqrt(325)*2)**2. -97*sqrt(13) + 2631 Simplify (sqrt(1274)*3)/(-3*sqrt(10)/sqrt(5)). -7*sqrt(13) Simplify -4*(4*(sqrt(245)*-3 + sqrt(245)) - (-1 + (sqrt(5) - (sqrt(5) + sqrt(5)*3))*4)**2). 320*sqrt(5) + 2884 Simplify 2 + -3*((-3*(sqrt(156) + 2*sqrt(156)))/sqrt(12) + (((sqrt(208) + sqrt(13))*2)**2 - (-2*sqrt(1573))**2)). 27*sqrt(13) + 14978 Simplify 4*((1 + -1 + sqrt(500) + sqrt(500) - (0 + sqrt(500)*-2 + sqrt(500))) + 4)**2. 960*sqrt(5) + 18064 Simplify ((-6*sqrt(70)/sqrt(2)*-5)/(6*(sqrt(5) - (sqrt(5) - (sqrt(20)/sqrt(4) + sqrt(5)))) + (sqrt(5) + -1*sqrt(5))*1))**2. 175/4 Simplify 3 + 2 + (-2 + sqrt(833))**2*6 + 1. -168*sqrt(17) + 5028 Simplify (-4*-2*-1*sqrt(136))/((sqrt(8) + sqrt(8)*-1)*5 + sqrt(8) - (sqrt(96)*-1 + sqrt(96))/sqrt(12)). -8*sqrt(17) Simplify (-6*sqrt(136)*-2 + sqrt(136) - (sqrt(136) + (sqrt(136) - 2*sqrt(136)*1)))/(sqrt(8)*1*-2 + sqrt(24)/sqrt(3)*-6). -13*sqrt(17)/8 Simplify (sqrt(252) + sqrt(252) + sqrt(252) + -2*(sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252)*3))))/(sqrt(16)/sqrt(4)*-4). 15*sqrt(7)/4 Simplify (-4*3*sqrt(121)*-6)/(sqrt(22)/(sqrt(288)*-2)). -1728*sqrt(11) Simplify ((sqrt(228)/sqrt(4))/sqrt(3))**2 + -2*sqrt(228)/sqrt(12) + -5. -2*sqrt(19) + 14 Simplify ((0 + sqrt(1900) + 1)*3)**2 + ((3 + sqrt(19) + 1)**2 - (0 + (-2*sqrt(19))**2)). 188*sqrt(19) + 17068 Simplify (1*(sqrt(1331)*1*5 + 1))**2. 110*sqrt(11) + 33276 Simplify ((-2*sqrt(245) + sqrt(245) - sqrt(245))*2)**2 - sqrt(60)/(sqrt(192)/sqrt(4)). -sqrt(5)/2 + 3920 Simplify (1*(sqrt(720)/sqrt(9) - sqrt(5)) - sqrt(20)/(sqrt(100)*-2)) + -4. -4 + 31*sqrt(5)/10 Simplify sqrt(228)/(-1*sqrt(12)) + sqrt(475)*-6 + (-2 + (sqrt(171))**2 + sqrt(19))*-1. -169 - 32*sqrt(19) Simplify ((sqrt(384) - (sqrt(384)*-2 + sqrt(384)) - sqrt(384)) + sqrt(384) + sqrt(6)*1*-5)/((-2*sqrt(14))/sqrt(7) - (sqrt(98) - (sqrt(98) + -1*sqrt(98)))). -11*sqrt(3)/9 Simplify (-1*sqrt(242)*2 + 0 - (4*(1*sqrt(242) - sqrt(242)) - sqrt(242) - (sqrt(242) - (1 + sqrt(242) + 4))))**2*2. 220*sqrt(2) + 534 Simplify (-4 + -2 + (sqrt(19) - (sqrt(95)*1)/sqrt(5) - (sqrt(152) + 1*sqrt(152))/sqrt(8)) + -2)**2. 32*sqrt(19) + 140 Simplify (-5 + sqrt(11) + sqrt(33)/sqrt(3) + 3 - ((1*sqrt(11)*-3 - sqrt(11)) + 5))**2. -84*sqrt(11) + 445 Simplify 5*((sqrt(55) + (sqrt(5500)*-1 - sqrt(5500)))/(-2*sqrt(44)))**2. 9025/16 Simplify ((sqrt(51)/sqrt(3)*-5 - 3*1*sqrt(17)) + (sqrt(2057) - sqrt(2057)*-3)*-4)**2. 575552 Simplify -6*-1*sqrt(28)*6*1*1. 72*sqrt(7) Simplify (-2 + (sqrt(66)/(sqrt(48)/sqrt(8) + sqrt(6)) + sqrt(11))*-3 + -2 + sqrt(99)/(-1*sqrt(9)))**2. 44*sqrt(11) + 1395/4 Simplify -4*((1*sqrt(75))/sqrt(5))/(6*sqrt(3)*1)*-1. 2*sqrt(5)/3 Simplify 3*((sqrt(13) - (sqrt(13) + -1)*-6)*5 + sqrt(13) + sqrt(39)/(sqrt(9)/sqrt(3)) + sqrt(52)*2)**2. -7380*sqrt(13) + 68259 Simplify (-5 + sqrt(75)*1)**2 - (sqrt(75) - (4 + sqrt(75) + 4)**2). 25*sqrt(3) + 239 Simplify (6*(sqrt(3) - sqrt(9)/sqrt(3)) + sqrt(12) + 0 + 5*(sqrt(108) - (sqrt(108) + -1*sqrt(108))))**2 + -4. 3068 Simplify ((0 + -2*(sqrt(80) - -2*sqrt(80)))*-3)**2. 25920 Simplify 4 + sqrt(325) + (-6*sqrt(325)*4)**2 + (3*(1 + sqrt(325)) + -5)**2. -55*sqrt(13) + 190133 Simplify (-2 + (sqrt(17) + sqrt(17) + sqrt(51)/sqrt(3) + -2)*1 + 4*(sqrt(17) - (0 + sqrt(17)))*-6)**2. -24*sqrt(17) + 169 Simplify (2*(sqrt(114)*4 - sqrt(114)))/(((sqrt(72)*4 - sqrt(72)) + sqrt(72) + sqrt(72))/sqrt(12)). 6*sqrt(19)/5 Simplify 1*(sqrt(78)/(sqrt(42)/sqrt(7)) - (sqrt(156)*-1)/sqrt(12)). 2*sqrt(13) Simplify ((((sqrt(1100) + sqrt(44))/sqrt(4))**2 - (-3 + sqrt(1331))**2) + 0)*4. -3776 + 264*sqrt(11) Simplify ((-1*2*sqrt(252) - sqrt(252)) + sqrt(252))/sqrt(9) + ((-5 + (sqrt(28)/sqrt(4)*3 - sqrt(7)))*-5)**2. -504*sqrt(7) + 1325 Simplify (1 + sqrt(13) + 1 + 0 - (sqrt(208)*3 - sqrt(208) - sqrt(208))/sqrt(4))**2. -4*sqrt(13) + 17 Simplify (-4 + 2 + (sqrt(75) - 2*sqrt(75)) + 0 + sqrt(75) + 1 + 1)**2*-3. 0 Simplify (-2*-5*(-2*-1*sqrt(1573) - (sqrt(1573) + 2)*6))**2. 105600*sqrt(13) + 2531200 Simplify (((sqrt(140) - (sqrt(140) - (sqrt(140) - 2*sqrt(140)*2))) + sqrt(140))/sqrt(10))/(-6*2*sqrt(343)). sqrt(2)/42 Simplify ((-1*-2*sqrt(17) - (sqrt(425) + 1))*1 + -6*(sqrt(119)/(sqrt(7) - sqrt(112)) + -1))**2. -10*sqrt(17) + 42 Simplify -5 + (-6*(-5 + -3 + sqrt(891))*4)**2 + 5. -82944*sqrt(11) + 550080 Simplify ((sqrt(1377)*-1 + -1)*-3 + 1)**2. 216*sqrt(17) + 12409 Simplify -2*(4 + sqrt(567))**2 - (sqrt(567)*1 + 1). -1167 - 153*sqrt(7) Simplify ((((sqrt(245) - (-1*sqrt(245) - sqrt(245) - sqrt(245)))*-2 + sqrt(245))/sqrt(5))/(2*sqrt(112) - sqrt(7) - -2*sqrt(1008)))**2. 343/961 Simplify (sqrt(2560) - (sqrt(2560) + -1*(sqrt(2560)*-1 - sqrt(2560))))/((4*sqrt(64)*-2 + sqrt(64))/sqrt(8)). 16*sqrt(5)/7 Simplify ((sqrt(21)/sqrt(3) + 0 + sqrt(14)/sqrt(32))**2 - (4 + (-1*sqrt(7)*1)**2))*6. -3/8 Simplify (((sqrt(156) - (sqrt(156) - sqrt(156)*2)) + sqrt(156))/sqrt(12) + 5 + -1*sqrt(13) - (1 + sqrt(117))*-2)**2. 112*sqrt(13) + 881 Simplify (sqrt(15)/(sqrt(20)/sqrt(4)) - (-1 + sqrt(3) + -4 + sqrt(3)) - (sqrt(6)/sqrt(32) + (sqrt(9) + sqrt(324))/sqrt(3)))**2. -165*s
{ "pile_set_name": "DM Mathematics" }
ive of 160846*h*t**6 - h*t**2 - 4861*h + 5*t wrt t? 19301520*h*t**3 What is the third derivative of -64*y**6 + 2171*y**3 + 512143*y**2? -7680*y**3 + 13026 Find the second derivative of 18*t**2*v**2 - 1704*t**2*w**2 + 1198*t*v*w**2 - 4*v**2*w**2 - 2*v*w**2 wrt t. 36*v**2 - 3408*w**2 Find the first derivative of -1499541*n + 1739899 wrt n. -1499541 What is the second derivative of -92*d*s**3 + 3*d*s**2 - 226899*d*s - 434*s**3 wrt s? -552*d*s + 6*d - 2604*s What is the derivative of b*k**2 - 1949*b*k - 10*k**2 + 88*k + 1 wrt b? k**2 - 1949*k Find the first derivative of -3728105*b**4 - 4841419. -14912420*b**3 What is the third derivative of 1779*j**4 - 387*j**3 + 11*j**2 + 26*j - 5? 42696*j - 2322 What is the derivative of -650158*r + 2233901? -650158 What is the second derivative of -m*q**3 - 5*m*q*t - 43*m*q + 63398*q**2*t + 47*q*t wrt q? -6*m*q + 126796*t Find the second derivative of -456*c**4*m - 88*c**3*m - 18744*c - 12*m wrt c. -5472*c**2*m - 528*c*m Differentiate -454915*k*s - 2*s - 83276 with respect to k. -454915*s Differentiate -235850*y**3 - 394471. -707550*y**2 Find the second derivative of 60090*s**2*x**3 - s*x**3 + 49127*s*x wrt s. 120180*x**3 Find the second derivative of 26*r**4 + 8100*r**3 + 3*r**2 - 77523*r. 312*r**2 + 48600*r + 6 Find the third derivative of -1276933*s**5 - s**4 + 53167*s**2. -76615980*s**2 - 24*s What is the second derivative of -2*m**2*u**2 + 10060*m**2*u - 2*m**2 - 1465*m - 5*u**2 + 2*u wrt m? -4*u**2 + 20120*u - 4 What is the second derivative of -6723053*o**2 - 134490*o - 13 wrt o? -13446106 Find the second derivative of 378395*z**2 - 15*z + 15861 wrt z. 756790 Differentiate 7*r**3*t**2 - 3*r**3 + 2*r**2 + 1174*r*t - 2*r - 7*t**2 - 7200 with respect to t. 14*r**3*t + 1174*r - 14*t What is the second derivative of 5*f**2*x**3 - 14*f**2*x**2 + 36*f*x**2 - 8*x**3 + 34*x wrt f? 10*x**3 - 28*x**2 What is the third derivative of -3*b**6 + 145*b**5 - 166*b**3 - b**2 - 236425*b - 1? -360*b**3 + 8700*b**2 - 996 Find the third derivative of 1008426*h**4 + 465975*h**2. 24202224*h Differentiate 302*p**2 - 435*p*r + 3865377*r with respect to p. 604*p - 435*r Find the second derivative of 113678*c**2*v**2 - c*v**2 + c*v + 2*c - 883*v**2 + 4*v wrt c. 227356*v**2 Find the third derivative of -342218*s**4 + 2*s**2 - 9979*s - 38. -8213232*s What is the third derivative of 477929*a**5 + 430581*a**2 wrt a? 28675740*a**2 Find the second derivative of 3*h*l**3 + 2*h*l**2 - 10*h*l - 3425*l**3 - 3954 wrt l. 18*h*l + 4*h - 20550*l Find the third derivative of -2*v*z**5 - 7311*v*z**3 - v*z - 18500*z**2 wrt z. -120*v*z**2 - 43866*v Find the first derivative of -5963999*m - 1131760 wrt m. -5963999 Find the third derivative of -213519*y**3 + 2*y**2 + 2*y + 22881. -1281114 What is the second derivative of 653830*q**3 + 119899*q - 1 wrt q? 3922980*q Find the first derivative of -19586*i + 46848 wrt i. -19586 What is the second derivative of 15335*i**2*o + 5*i*o + i - 22*o - 7 wrt i? 30670*o What is the second derivative of -339615*w**2 - 212362*w? -679230 What is the third derivative of 26*g**3*i**3*k + g**3*i**2 + 433*g**3*i + 25*g**2*i**3*k - 1142*g*i**3*k + i**2*k wrt g? 156*i**3*k + 6*i**2 + 2598*i Find the first derivative of -10360*q**2*w**4 + 3*q**2*w - 20019*q**2 - q wrt w. -41440*q**2*w**3 + 3*q**2 Differentiate 9*b**4*h + 49*b**3 - 62*b*h - 8*h + 1666 wrt b. 36*b**3*h + 147*b**2 - 62*h What is the first derivative of 77*i**2 - 165*i + 549159 wrt i? 154*i - 165 Find the third derivative of -173059*h**4 + 450*h**2 - 34*h + 2 wrt h. -4153416*h Find the third derivative of z**5 + 487*z**3 - 91712*z**2 wrt z. 60*z**2 + 2922 Find the second derivative of 1647965*c**5*q**2 - 17*c*q**2 - 5*q**2 - 1488*q wrt c. 32959300*c**3*q**2 What is the third derivative of 5514746*w**4 - 2497362*w**2 wrt w? 132353904*w What is the derivative of -57220*y - 132567 wrt y? -57220 What is the third derivative of 2*t**4*x + 304*t**4 + 291*t**3*x**3 - 5*t**2*x**2 + 7416*t*x**3 - 2*t*x wrt t? 48*t*x + 7296*t + 1746*x**3 Find the second derivative of -53445*y**4 + y**3 + 5*y**2 - 242*y + 19. -641340*y**2 + 6*y + 10 What is the first derivative of 17722*j*m + 156125*j + 10*m wrt m? 17722*j + 10 What is the third derivative of -470*h**4 + 9*h**3 + h**2 + 82*h - 15 wrt h? -11280*h + 54 Differentiate -146118*w - 38988 with respect to w. -146118 Find the third derivative of -14543*f**5 - 710*f**2 - 3. -872580*f**2 What is the third derivative of 60475*f*u**4 - 2*f*u**3 - f*u - 706*f - 2*u**4 - 2*u**2 + 6 wrt u? 1451400*f*u - 12*f - 48*u What is the third derivative of 186835*h**5 + 2*h**3 - 37051*h**2 wrt h? 11210100*h**2 + 12 What is the second derivative of 20795*g**2*o**3 - 162*g**2*o - 35*g**2 - 3*o**4 wrt o? 124770*g**2*o - 36*o**2 What is the second derivative of -1483076*i**4 + 180171*i + 2? -17796912*i**2 What is the derivative of 5*o**4 + 47946*o + 463532? 20*o**3 + 47946 What is the second derivative of 4*f**2*k**2 - 2*f**2*k + f**2 - 6260*f*k**2 - 73*f*k - 8*k**2 + 198*k - 2 wrt k? 8*f**2 - 12520*f - 16 What is the third derivative of 5*i**2*v**5 + 34108*i**2*v**3 - 4*i**2*v**2 - 5*i*v**2 + 45*v**2 + 45 wrt v? 300*i**2*v**2 + 204648*i**2 Find the second derivative of 89*a**2*f*m**2 + 1562*a**2*f - a*f*m**2 + 3*a*m**2 - f*m + 1685*f + m wrt a. 178*f*m**2 + 3124*f Find the third derivative of -74*c*k**5 + 689*c*k**4 - c - 6*k**2 + 1051*k wrt k. -4440*c*k**2 + 16536*c*k Find the first derivative of -15*k**3 + 2*k**2*t - 542*k**2 - t - 239131 wrt k. -45*k**2 + 4*k*t - 1084*k Find the second derivative of -10*l**2*m**4 + 3*l**2*m - 2*l**2 + 1141*l*m**4 - 2004 wrt m. -120*l**2*m**2 + 13692*l*m**2 Differentiate -i*o + 17509*i - 1711*o - 51 with respect to i. -o + 17509 What is the first derivative of -8*i**4 - 797*i + 6424 wrt i? -32*i**3 - 797 Find the third derivative of 111233*p**3 - p**2 - 3372*p + 2 wrt p. 667398 What is the second derivative of 150012*j**3 - 35147*j wrt j? 900072*j Find the second derivative of -113289*x**2 - 203122*x. -226578 What is the second derivative of -10953*d**3 + 3*d**2 + d + 5772 wrt d? -65718*d + 6 Find the first derivative of -10*b**2*h - 3*b**2*j + 5*b**2 + 13*b*h**2*j - 32*b*j + 709*h**2*j + 3 wrt h. -10*b**2 + 26*b*h*j + 1418*h*j Find the third derivative of -339215*y**5 + 23984*y**2 - 2. -20352900*y**2 What is the third derivative of -4543*r**4 + 4*r**3 - 21013*r**2 wrt r? -109032*r + 24 Find the third derivative of 3475*d**4 + d**2 + 96*d + 34 wrt d. 83400*d Find the third derivative of -325*l**2*p**4 + 586*l**2*p**2 - 28*l**2 + 131*l*p**4 - 4*p**2 wrt p. -7800*l**2*p + 3144*l*p Find the second derivative of 827397*y**2 + 4744*y - 1. 1654794 Differentiate 2110*j**2*u**2 - 834334*j**2 - 2*j*u**2 - 36*j*u wrt u. 4220*j**2*u - 4*j*u - 36*j What is the derivative of 329942*a**2 - 444578 wrt a? 659884*a What is the derivative of 6*a**2*r - 37*a**2 - 2*a*r - 5*a - r + 99814 wrt a? 12*a*r - 74*a - 2*r - 5 Find the second derivative of 938387*h**4 + 4*h + 13122. 11260644*h**2 Find the second derivative of -13*h*l**3 - 201*h*l**2 + 2*h*l - 8*l**2 + 131353*l wrt l. -78*h*l - 402*h - 16 Find the third derivative of -4166816*k**3 + 447103*k**2 wrt k. -25000896 What is the first derivative of 14418*x**2 - 64935? 28836*x What is the third derivative of -18335*m**5 + 823347*m**2? -1100100*m**2 What is the second derivative of 2183*n**3 - 4*n**2 + 18*n - 1164? 13098*n - 8 What is the second derivative of t**2*v**2 - 1930565*t**2*v - 150904*t*v**3 wrt v? 2*t**2 - 905424*t*v What is the second derivative of 16379*x**4 + 94*x**3 - 323402*x + 2 wrt x? 196548*x**2 + 564*x What is the second derivative of -360438*w**2 + 2454*w + 39? -720876 What is the second derivative of -56*q**5 - 258*q**4 + 771678*q? -1120*q**3 - 3096*q**2 Find the second derivative of 901678*k**2 + k - 287970 wrt k. 1803356 Differentiate 4*f**2*l**2 - 8*f**2*l + 2*f*l**2 - 2*f + 3*l**2 - 324 wrt f. 8*f*l**2 - 16*f*l + 2*l**2 - 2 Find the third derivative of 258*o**4*x**2 + 2*o**4 + 2*o**3*x**2 - o**2*x + 2*o**2 - 41*o*x**2 + 10*x**2 wrt o. 6192*o*x**2 + 48*o + 12*x**2 Differentiate 21*i*j + 10775*i*k + 281*j*k - 2*j + 38*k - 4 wrt i. 21*j + 10775*k Find the first derivative of -261*l**2*p + l**2 - 357*l - 19205*p + 5 wrt l. -522*l*p + 2*l - 357 What is the thir
{ "pile_set_name": "DM Mathematics" }
70313, 4340625, 6510927, 8681213, 10851477, 13021713, 15191915? 17362077 What is next in 142977, 142984, 142991, 142998, 143005, 143012? 143019 What comes next: 11099, 12338, 14405, 17300, 21023, 25574? 30953 What is the next term in -33924338, -67848697, -101773056, -135697415, -169621774? -203546133 What is the next term in 3617386, 14470133, 32558054, 57881155, 90439442, 130232921, 177261598? 231525479 What is next in 181015, 361965, 542913, 723859, 904803, 1085745, 1266685? 1447623 What is next in 5906, 23595, 53126, 94541, 147882, 213191? 290510 What is next in -602693, -602617, -602591, -602639, -602785? -603053 What is the next term in 133500, 534120, 1201826, 2136618? 3338496 What is the next term in 14286, 14241, 14088, 13827, 13458, 12981? 12396 What comes next: 102397, 102466, 102535, 102604, 102673? 102742 What is next in -3444, -5685, -7888, -10059, -12204, -14329, -16440? -18543 What is next in 439183, 439430, 439677? 439924 What is next in 797849, 797954, 798059, 798164, 798269, 798374? 798479 What is next in 4968930, 9937871, 14906812, 19875753? 24844694 What is next in 403, 652, 1019, 1480, 2011, 2588, 3187, 3784? 4355 What is next in 76391, 76381, 76387, 76415, 76471? 76561 What comes next: -241631, -484356, -727081? -969806 What is next in 4129, 3273, 1839, -173, -2763, -5931? -9677 What comes next: -14467, -14731, -15179, -15817, -16651, -17687? -18931 What comes next: 3881267, 3881257, 3881243, 3881225? 3881203 What is the next term in 11380, 45198, 101558, 180460, 281904, 405890, 552418? 721488 What is next in 2427, 20190, 68403, 162294, 317091, 548022, 870315, 1299198? 1849899 What comes next: -874063, -1747822, -2621581, -3495340, -4369099, -5242858? -6116617 What is the next term in 1460737, 5842895, 13146487, 23371513, 36517973? 52585867 What is next in 1028, 1663, 2286, 2897, 3496, 4083, 4658? 5221 What is the next term in -1164029399, -2328058791, -3492088181, -4656117569? -5820146955 What is next in 46126, 45653, 44866, 43765, 42350? 40621 What comes next: -18457, -18519, -18625, -18775, -18969, -19207? -19489 What comes next: -2008, -5130, -9348, -14656, -21048? -28518 What is next in -246404, -494305, -742192, -990059, -1237900, -1485709? -1733480 What comes next: 1209, 1737, 2509, 3531, 4809? 6349 What is the next term in -5242, -10394, -15540, -20674, -25790? -30882 What comes next: 461, 1706, 4461, 9482, 17525? 29346 What comes next: 193975, 193947, 193919, 193891? 193863 What is the next term in -2301723, -2301721, -2301731, -2301759, -2301811, -2301893, -2302011, -2302171? -2302379 What is the next term in -21250378, -42500761, -63751144? -85001527 What comes next: -334, -3000, -10682, -26026, -51678? -90284 What comes next: -210420, -420773, -631126? -841479 What is next in 29892, 120250, 270866, 481758, 752944, 1084442, 1476270, 1928446? 2440988 What is the next term in -210643970, -210643971, -210643972? -210643973 What is next in 658391, 1316673, 1974955? 2633237 What comes next: 33986, 135806, 305500, 543062, 848486, 1221766, 1662896, 2171870? 2748682 What comes next: -5862, -11661, -17474, -23307, -29166? -35057 What is next in -384, -2367, -5948, -11127, -17904, -26279? -36252 What comes next: -644, -1017, -1246, -1331? -1272 What is next in 2735, 5558, 8493, 11546, 14723, 18030, 21473? 25058 What is the next term in -495, -3472, -11361, -26598, -51619, -88860? -140757 What comes next: 400840, 801548, 1202268, 1603006, 2003768, 2404560, 2805388, 3206258? 3607176 What is next in -7550423, -30201830, -67954175, -120807458, -188761679? -271816838 What is the next term in -7579, -7227, -6515, -5257, -3267? -359 What comes next: 26841906, 26841899, 26841892, 26841885, 26841878? 26841871 What is the next term in -4010, -32208, -108736, -257756, -503430, -869920? -1381388 What comes next: 205015, 410157, 615299? 820441 What comes next: -1081708937, -2163417874, -3245126811, -4326835748, -5408544685? -6490253622 What is next in -1191432, -2382866, -3574300, -4765734? -5957168 What is the next term in -13848493, -27696997, -41545501? -55394005 What is next in -784, -3697, -8548, -15337, -24064, -34729, -47332? -61873 What is next in 12482, 12596, 12866, 13358, 14138? 15272 What is next in -255, -268, 57, 888, 2393, 4740, 8097, 12632? 18513 What is next in -11094, -22220, -33334, -44436, -55526, -66604? -77670 What is next in 482866, 1931441, 4345732, 7725739, 12071462? 17382901 What is the next term in 28481, 27676, 26871, 26066? 25261 What is the next term in 7342012, 7342009, 7342006, 7342003, 7342000? 7341997 What is next in 36286, 36112, 35628, 34678, 33106, 30756? 27472 What is the next term in -1751025, -3502088, -5253149, -7004208, -8755265? -10506320 What is next in 673, 1364, 2171, 3142, 4325, 5768, 7519, 9626? 12137 What is the next term in -68849, -275114, -618895, -1100198, -1719029, -2475394, -3369299, -4400750? -5569753 What is next in -112065, -896662, -3026293, -7173474, -14010721, -24210550, -38445477, -57388018? -81710689 What is the next term in -111678, -223232, -334776, -446310, -557834, -669348? -780852 What is next in -195834, -390325, -584816, -779307? -973798 What is next in -59521, -119254, -178987, -238720? -298453 What is the next term in 3567, 7064, 10561? 14058 What is the next term in -28606, -28663, -28720, -28777, -28834, -28891? -28948 What is the next term in -527538, -1055062, -1582586, -2110110, -2637634, -3165158? -3692682 What is the next term in -30742, -30408, -29854, -29080, -28086, -26872? -25438 What is the next term in -4983, -20282, -46449, -84030, -133571, -195618? -270717 What comes next: 207412, 207124, 206836, 206548? 206260 What is next in -834, -3487, -7992, -14391, -22726, -33039? -45372 What is next in 3032, 1912, 792? -328 What comes next: -52950, -52990, -53048, -53118, -53194, -53270, -53340, -53398? -53438 What is next in 52272, 106201, 160122, 214029, 267916? 321777 What is next in -4204, -4203, -4198, -4189? -4176 What is the next term in 9126948, 9126945, 9126942, 9126939? 9126936 What is the next term in -45991, -92001, -138003, -183997? -229983 What is the next term in 87, 235, 443, 711? 1039 What is next in -5997, -15558, -31495, -53814, -82521, -117622, -159123? -207030 What is the next term in -1051533, -1051542, -1051551? -1051560 What is the next term in -99, -452, -1319, -2928, -5507? -9284 What is the next term in -36488, -145883, -328208, -583463, -911648, -1312763, -1786808? -2333783 What is next in -229140, -458299, -687464, -916635, -1145812, -1374995? -1604184 What comes next: -12918, -51701, -116384, -207003, -323594, -466193? -634836 What comes next: -501640, -501458, -501276, -501094, -500912? -500730 What comes next: -10921, -22913, -35985, -50143, -65393, -81741, -99193, -117755? -137433 What comes next: -15582, -124674, -420748, -997284, -1947762, -3365662, -5344464, -7977648? -11358694 What is next in -22744, -43368, -63992, -84616, -105240? -125864 What comes next: 9574, 9413, 8988, 8167, 6818, 4809, 2008, -1717? -6498 What is next in -1388, -1434, -1484, -1538, -1596, -1658, -1724? -1794 What comes next: -2657, -4253, -6913, -10637, -15425? -21277 What comes next: 251, 569, 1049, 1691, 2495, 3461? 4589 What is the next term in 1516, 3136, 4756, 6376? 7996 What is next in 121466, 120008, 118552, 117098? 115646 What comes next: -1309377, -1309415, -1309453, -1309491, -1309529, -1309567? -1309605 What is next in 4434, 17727, 39872, 70857, 110670, 159299? 216732 What is the next term in 43119946, 43119948, 43119950, 43119952, 43119954? 43119956 What is the next term in -1198, -9882, -33480, -79450, -155250, -268338, -426172, -636210? -905910 What is next in -69306573, -69306566, -69306559? -69306552 What is the next term in -153070, -153035, -152976, -152893? -152786 What comes next: -40827512, -40827514, -40827514, -40827512? -40827508 What is the next term in -22091, -22494, -22897? -23300 What is next in -20353, -81673, -183953, -327193? -511393 What is the next term in 5332, 7479, 9626, 11773, 13920, 16067? 18214 What comes next: -8396669, -16793339, -25190009, -33586679, -41983349? -50380019 What is next in -549695280, -1099390560, -1649085840, -2198781120, -2748476400, -3298171680? -3847866960 What is next in 17720, 3542
{ "pile_set_name": "DM Mathematics" }
61586116. Let l = -1003.217160792 + n. Let i = -192 - l. Round i to 7 decimal places. 0.0000002 Let x = 551507.65183 + -551505. Let o = -2.65 + x. What is o rounded to 4 decimal places? 0.0018 Let a = -36 + 78. Suppose a*r - 43*r = -7. Suppose 0 = -r*o - 3605 - 3955. What is o rounded to the nearest 100? -1100 Let d = -159.9713 + 160. Let z = -0.02870239 + d. What is z rounded to six decimal places? -0.000002 Let n be 3*96/108*30/8. Suppose 2*f - 15918402 = -2*c, 13*f + 5*c = n*f + 23877603. Suppose 300799 = 7*v - f. What is v rounded to the nearest 100000? 1200000 Let k = -5270 - -5269.99990998. Round k to five dps. -0.00009 Let c = -73527315 + 73526718.00251. Let o = 597 + c. What is o rounded to three decimal places? 0.003 Let i = 5.45387634 + -5.454. Round i to 6 decimal places. -0.000124 Let n = -277.148 - -277. Let r = 14.468 + n. Round r to the nearest integer. 14 Let v be (-4 - 104/(-20))*5. Suppose v*m + 253141 + 237659 = 0. What is m rounded to the nearest 10000? -80000 Let o = 2158 + -2533.92. Round o to the nearest integer. -376 Let g = 394488060.85445333 + -3.85445333. Let y = 394488017.99999915 - g. Let f = y + 39. Round f to seven dps. -0.0000009 Suppose 4*n - n = 5*w + 8219935, -4*w = 2*n - 5479964. Suppose -26*d - n = -22*d + 5*t, 3*d - 5*t = -2055020. Round d to the nearest 100000. -700000 Let u = 684 - 448. Let z = u - 235.99999749. What is z rounded to 7 decimal places? 0.0000025 Let d = 161.796 - 7068.096. Round d to the nearest 10. -6910 Suppose 836249 + 1455502 = 21*u. Let w = u - 11131. What is w rounded to the nearest 10000? 100000 Let u = 39 - 38.97. Let q = 10.03 - u. Let j = 9.9999971 - q. What is j rounded to 6 decimal places? -0.000003 Let w = -643.192 - -687. Round w to 1 dp. 43.8 Let w = 0.2474422974037 - -0.0059514081241. Let d = -1074.2533929625278 + w. Let t = 1074 + d. What is t rounded to seven dps? 0.0000007 Let m = -64026 + 64025.999942706. What is m rounded to six decimal places? -0.000057 Let z = -0.8052 + 1.32192. What is z rounded to three dps? 0.517 Suppose -8*m - 2*m = -8590. Let l = 108 - m. Round l to the nearest one hundred. -800 Let v = 0.543 - -3.615. Let c = -4.2 + v. Let h = c - 0.03. Round h to two dps. -0.07 Let d = -14.6 - -10.62. Let s = d - -2.28. Round s to one dp. -1.7 Let n = 713 + -708.23. Let l = -6478.1 + 6483. Let s = l - n. What is s rounded to 2 decimal places? 0.13 Let n = -4145 + 4144.999994776. What is n rounded to 7 decimal places? -0.0000052 Let g = 84449 + -40284. Suppose -5*o + 223650 - g = 5*l, 4*o = 3*l + 143609. Round o to the nearest ten thousand. 40000 Let p = 3158079.99582 - 3158117. Let q = -37 - p. What is q rounded to 4 dps? 0.0042 Let m = 4.3666554 + -4.3688. What is m rounded to five dps? -0.00214 Let j be (-7)/35 + (-44652)/(-10). Let p be (4 + -5)/(5/j). Let k = p - -1803. What is k rounded to the nearest 1000? 1000 Let k(x) = -x**3 - 13*x**2 + 2. Let u be k(-13). Let q be (-21)/(-28) + -417*u/(-8). Let p be q*2*600/9. Round p to the nearest ten thousand. 10000 Let t be (-330)/(-770) - (-14966709)/(-21). What is t rounded to the nearest one hundred thousand? -700000 Let r = 7068.9995311 + -7069. What is r rounded to four decimal places? -0.0005 Let m = 187.2 + -133. Let i = m + -21.4. Round i to the nearest ten. 30 Let a = 5139.998115 - 5140. Round a to 5 dps. -0.00189 Let y(i) = i**2 + 5*i - 4. Let k be y(-6). Suppose 3*h = -4*d - k*h, -4*d = 4*h. Suppose d = -3*p + 48349 + 38651. What is p rounded to the nearest 10000? 30000 Let f = -398.0743 - -0.0743. Let b = f - -398.0000277. What is b rounded to 5 decimal places? 0.00003 Suppose -3*j + 5*p = 66513025, j + 3*j = 3*p - 88684015. What is j rounded to the nearest one million? -22000000 Suppose -32*m - 13*m - 3*m = -782016. What is m rounded to the nearest one hundred? 16300 Let g = -793.26 - 11.74. Let h = 805.0347 + g. What is h rounded to 3 dps? 0.035 Let f be 47298 + 1 + 12*66/(-88). Round f to the nearest ten thousand. 50000 Let s = -0.0369 + 0.0353. Let t = 0.0017116 + s. Round t to five decimal places. 0.00011 Suppose -3*r - 7 = -2*w + 6*w, 2*w - 2*r - 14 = 0. Suppose 5*k - 6669000 = w*k. Round k to the nearest 100000. 2200000 Let w = -454.40045855 - -454.4. Round w to five decimal places. -0.00046 Let i be 255014*71/(-2) + (-27)/9. What is i rounded to the nearest 100000? -9100000 Let i = -2594 + 2595.377. Let z = i - 0.63. Round z to 1 dp. 0.7 Let l = 441.5292 - 442.5. What is l rounded to 2 dps? -0.97 Suppose 8009*u - 8000*u = -1107900. What is u rounded to the nearest 10000? -120000 Let f = 1015 + -1432. Let z = 412.8 + f. What is z rounded to the nearest integer? -4 Let c = 46 - 46. Let w = c - 1. Let i = w - -0.9986. Round i to four dps. -0.0014 Suppose -d - 11 = -13. Suppose d*o - 7*o + 30 = 0. Suppose 0 = -2*w + o*w + 1600000. What is w rounded to the nearest one hundred thousand? -400000 Let k = 236.904 + -234. Let t = k - 1.88. Round t to one decimal place. 1 Let r = 5029.175029494 - 5024.17503. Let m = -5 + r. Round m to 7 decimal places. -0.0000005 Let w(k) = -4*k - 1. Let c be w(-1). Let n be (14676/(-15))/(c*(-2)/(-30)). Let u = n + 12032. Round u to the nearest one thousand. 7000 Suppose 0 = -7*q + 13 - 13. Suppose q = 4*l + 4*b + 194020, -3*l + 4*b - 47039 - 98441 = 0. What is l rounded to the nearest 10000? -50000 Suppose 0 = -3*j - 2*r - 6156, -4*r + 8208 = -0*j - 4*j. Let w be j*((-250)/(-15))/(-10). What is w rounded to the nearest 100? 3400 Let h = 0.2958 - 0.2957994496. Round h to seven decimal places. 0.0000006 Let q = 3.89 - 1.27. Let v = 0.63 + q. What is v rounded to one dp? 3.3 Let k = -16113 - -16113.034055. Round k to 3 decimal places. 0.034 Let l be 1 + (-11 - -7) + (-18134006)/(-2). Round l to the nearest one million. 9000000 Let y be (-1*5 - 1)*672/252. Let h(p) = -100*p**3 - p**2 - 42*p - 16. Let w be h(y). Round w to the nearest one million. 0 Let m = -5210.76634419 + 2088.76640725. Let v = 3122 + m. What is v rounded to 5 dps? 0.00006 Let m = -0.053 + 3.453. Let l = -3.4147 + m. Round l to 3 decimal places. -0.015 Let l = -0.01 - 6.19. Let m = l + 41.2. Let v = m - 34.84. What is v rounded to 2 dps? 0.16 Let o = 14381 + -14314.09. What is o rounded to the nearest ten? 70 Let r = 154187.28 + -154568.27764. Let o = -381 - r. What is o rounded to 4 decimal places? -0.0024 Let d = -23 + -303. Let h = -569 - d. Let w = -243.00582 - h. Round w to three dps. -0.006 Let v = -0.0844 - -0.079. Let l = -0.005057 - v. What is l rounded to 5 dps? 0.00034 Let o = -6 - -6. Suppose o = -10*f + 5*f + 55. Suppose -43595 = f*g + 20205. What is g rounded to the nearest 1000? -6000 Let b = -5.28 - 0.02. Let u = b + 5.376. Let g = -0.666 + u. Round g to one dp. -0.6 Let l = 12470 - 12474.69264. Let i = -4.7 - l. What is i rounded to four dps? -0.0074 Let h = -2.407 + -4243.593. Let p = h + 4246.000001859. What is p rounded to seven decimal places? 0.0000019 Let s be 30/20 - (-3)/(-6). Let p be ((-168)/(-48))/(s/5600000). What is p rounded to the nearest one million? 20000000 Let j = 6 - 6.09. Let k = -4770 + 4769.91007. Let n = j - k. Round n to 4 dps. -0.0001 Let a = -301.6 + 301.600784. Round a to 3 dps. 0.001 Let b = 12914.99979779 + -12915. What is b rounded to four dps? -0.0002 Let u = 90 - 89.795. Let h = u - 0.3078. Round h to two dps. -0.1 Let t = -9790 + 5795. Let r = 3995.001627 + t. Round r to 4 decimal places. 0.0016 Let j = 124 - 88. Let x = j - 50. Let d = -6.8 + x. Round d to the nearest integer. -21 Let i = 1351 + -1367.06. Let z = 16.0601983 + i. Round z to five decimal places. 0.0002 Let g = -345 - -265. Let b be (-64)/g - (-6619992)/10. What is b rounded to the nearest 10000? 660000 Suppose -42*t - 23941221 + 6268881 = 0. Round t to the nearest 1000. -421000 Let o = -618.6 + -693. Round o to the nearest 10. -1310 Let k = 259.63 + -259.50265. What is k rounded to 3 decimal places? 0.127 Let s(z) = 9*z**3 - 9*z**2 - 17*z + 1. Let d(x) = 9*x**3 - 10*x**2 - 18*x + 2. Let u(i) = 5*d(i) - 4*s(i). Let p be u(14). Round p to the nearest 1000. 22000 Let j = 415.99 + -417. Let h = j + 1.01003. Round h to five decimal places. 0.00003 Let b = 32.6 + -31.805. Let i = b - -0.055. Let c = i - 0.8479. What is c rounded to four dps? 0.0021 Let u = 0.56 - -3.54. Let d = u + -4.09999
{ "pile_set_name": "DM Mathematics" }
54*z**2/3 - 39271*z/3 + 10305800/3. (z - 227)**2*(z + 200)/3 Factor 2*z**2 - 1390*z - 117192. 2*(z - 771)*(z + 76) Factor -k**2 - 100564*k - 2528279524. -(k + 50282)**2 Determine w so that 2*w**2 - 2394*w - 9608 = 0. -4, 1201 Factor -d**2/5 + 7417*d/5 - 22242/5. -(d - 7414)*(d - 3)/5 Factor z**4/7 + 702*z**3/7 + 164964*z**2/7 + 13137938*z/7 + 37948011/7. (z + 3)*(z + 233)**3/7 Suppose -5*z**2 - 1320*z + 31460 = 0. What is z? -286, 22 Factor -2*n**3/5 - 96*n**2/5 - 918*n/5 + 5336/5. -2*(n - 4)*(n + 23)*(n + 29)/5 Factor -4*i**2 - 2352*i - 103680. -4*(i + 48)*(i + 540) Let -5*q**2 + 57040*q - 57035 = 0. What is q? 1, 11407 Let 2*y**3/7 - 2*y**2/7 - 352*y/7 + 1920/7 = 0. What is y? -15, 8 Factor -h**2/5 + 1498922*h/5 - 561691790521/5. -(h - 749461)**2/5 Let 12*m**4 + 506472*m**3 + 1012911*m**2 + 633063*m + 126612 = 0. Calculate m. -42204, -1, -1/2 Factor s**2 - 7923*s. s*(s - 7923) Let -d**4/6 + 67*d**3 - 6318*d**2 - 83835*d - 385641/2 = 0. What is d? -9, -3, 207 Suppose -5*d**5 + 320*d**4 + 990*d**3 + 1000*d**2 + 335*d = 0. Calculate d. -1, 0, 67 Factor -5*p**3 - 168520*p**2 - 337025*p - 168510. -5*(p + 1)**2*(p + 33702) What is k in -2*k**2/19 + 14414*k/19 + 28836/19 = 0? -2, 7209 Determine j so that -2*j**5/15 - 56*j**4/15 - 168*j**3/5 - 380*j**2/3 - 590*j/3 - 100 = 0. -15, -5, -2, -1 Factor -k**2/6 - 347*k/6 + 1095. -(k - 18)*(k + 365)/6 Determine p so that -2*p**4/5 + 294*p**3/5 - 6664*p**2/5 = 0. 0, 28, 119 Factor 4*f**3 + 264*f**2 - 4992*f + 20992. 4*(f - 8)**2*(f + 82) Factor 3*z**3 - 1473*z**2 + 5781*z + 30681. 3*(z - 487)*(z - 7)*(z + 3) Solve z**2 + 1750*z + 24304 = 0 for z. -1736, -14 Factor 3*a**2 - 15597*a + 31182. 3*(a - 5197)*(a - 2) Suppose -3*j**4 + 5626*j**3 + 9389*j**2 - 7504*j - 7508 = 0. Calculate j. -2, -2/3, 1, 1877 Factor -25*n**2 + 745*n - 4360. -5*(n - 8)*(5*n - 109) Find k, given that -2*k**4/5 + 10118*k**3/5 + 6*k**2/5 - 30358*k/5 + 20236/5 = 0. -2, 1, 5059 Factor -2*w**3 + 148144*w**2 - 2743478730*w + 5486364900. -2*(w - 37035)**2*(w - 2) Factor -3*r**4/2 - 732*r**3 + 1467*r**2/2. -3*r**2*(r - 1)*(r + 489)/2 Factor 2*b**4 - 260*b**3 + 998*b**2 + 1260*b. 2*b*(b - 126)*(b - 5)*(b + 1) Find i such that 5*i**4/3 - 88*i**3/3 - 13211*i**2/3 - 68270*i/3 - 8400 = 0. -40, -5, -2/5, 63 Factor -132*r**2 - 662*r - 10. -2*(r + 5)*(66*r + 1) What is r in 3*r**4/5 - 489*r**3/5 + 1917*r**2/5 - 1431*r/5 = 0? 0, 1, 3, 159 Find f such that -2*f**5/9 + 4*f**4/9 + 76*f**3/9 - 8*f**2/9 - 218*f/9 - 140/9 = 0. -5, -1, 2, 7 Factor -2*s**3/5 + 45304*s**2/5 - 256556552*s/5. -2*s*(s - 11326)**2/5 Factor 3*j**3 - 312*j**2 - 2295*j - 3996. 3*(j - 111)*(j + 3)*(j + 4) Suppose -15*c**3 - 12414*c**2 + 42363*c - 14958 = 0. What is c? -831, 2/5, 3 Factor -2*l**4 - 36728*l**3 + 73462*l**2 - 36732*l. -2*l*(l - 1)**2*(l + 18366) Factor z**4 + 111*z**3 + 1560*z**2 - 3572*z. z*(z - 2)*(z + 19)*(z + 94) Factor 26*v**2 - 2386*v - 552. 2*(v - 92)*(13*v + 3) Factor -208*a**3 - 5834*a**2 - 41048*a - 1960. -2*(a + 14)**2*(104*a + 5) What is r in -2*r**2 + 370*r + 5572 = 0? -14, 199 Determine t, given that t**2/2 - 66081*t + 4366698561/2 = 0. 66081 Let 4*l**5 + 228*l**4 - 2624*l**3 - 16800*l**2 - 28736*l - 14784 = 0. Calculate l. -66, -2, -1, 14 Let -2*f**2/3 - 20*f/3 + 754 = 0. Calculate f. -39, 29 Factor 2*y**2/7 - 2742*y - 288360/7. 2*(y - 9612)*(y + 15)/7 Factor -v**4/4 - 21*v**3/2 + 139*v**2/4 + 45*v. -v*(v - 4)*(v + 1)*(v + 45)/4 Solve -2*j**3/7 + 48*j**2/7 + 7830*j/7 + 137924/7 = 0. -29, 82 Find h, given that -2*h**2/7 + 3913888*h/7 - 1914814909568/7 = 0. 978472 Solve 2*s**3 - 270*s**2 + 1548*s = 0 for s. 0, 6, 129 Let 2*w**5/7 + 338*w**4/7 + 8880*w**3/7 - 909568*w**2/7 - 32253184*w/7 + 495164928/7 = 0. Calculate w. -76, 12, 47 Solve -54*b**3 - 558999*b**2 - 11575564635*b/8 - 11571093075/8 = 0. -62105/12, -1 What is u in 4*u**4 - 200*u**3 + 1008*u**2 + 14112*u = 0? -6, 0, 14, 42 Solve 2*a**5/11 - 302*a**4/11 + 11546*a**3/11 - 10650*a**2/11 - 22500*a/11 = 0 for a. -1, 0, 2, 75 Find f, given that 2*f**5/9 - 28*f**4/3 + 568*f**3/9 + 2228*f**2/9 + 802*f/3 + 832/9 = 0. -1, 13, 32 Factor -k**2 + 879*k - 9548. -(k - 868)*(k - 11) What is i in 4*i**5/9 - 1312*i**4/9 - 5932*i**3/3 + 21712*i**2/9 + 38192*i/9 = 0? -14, -1, 0, 2, 341 Suppose -d**2/2 + 161*d/2 - 2460 = 0. What is d? 41, 120 Factor -3*k**2 + 108846*k - 108843. -3*(k - 36281)*(k - 1) Suppose -2*x**4/9 + 1616*x**3/9 - 11242*x**2/9 + 22444*x/9 - 1424 = 0. Calculate x. 1, 2, 4, 801 Suppose -4*a**2 + 1947296*a - 1947292 = 0. What is a? 1, 486823 Find w such that 9*w**5 - 1974*w**4/5 - 24609*w**3/5 - 1266*w**2/5 + 24564*w/5 + 648 = 0. -10, -1, -2/15, 1, 54 What is i in 3*i**2 - 1263*i + 90804 = 0? 92, 329 Determine l, given that 14*l**4 + 26*l**3 - 130*l**2 - 234*l + 36 = 0. -3, -2, 1/7, 3 Factor 4*x**2 - 14332*x + 85848. 4*(x - 3577)*(x - 6) What is d in 3*d**5/4 + 21*d**4/4 - 111*d**3/4 - 777*d**2/4 + 27*d + 189 = 0? -7, -6, -1, 1, 6 Factor 5*s**2 + 215470*s + 2321366045. 5*(s + 21547)**2 Factor 3*h**4/4 + 270*h**3 + 51813*h**2/4. 3*h**2*(h + 57)*(h + 303)/4 Suppose -1029*m**5 - 71589*m**4 - 672084*m**3 + 1066704*m**2 - 438240*m + 54288 = 0. What is m? -58, -13, 2/7, 6/7 Factor 5*j**2/2 - 61175*j + 748476125/2. 5*(j - 12235)**2/2 Factor -4*c**5 + 64*c**4 - 276*c**3 + 360*c**2. -4*c**2*(c - 10)*(c - 3)**2 Suppose -3*z**5/8 - 375*z**4/8 + 579*z**3/4 + 183*z**2/2 - 573*z + 384 = 0. What is z? -128, -2, 1, 2 Suppose y**5/5 + 28664*y**4/5 + 85986*y**3/5 + 85984*y**2/5 + 28661*y/5 = 0. What is y? -28661, -1, 0 Factor z**3/12 - 5797*z**2/12 - 1450*z. z*(z - 5800)*(z + 3)/12 Let 2*s**3/7 + 76*s**2 + 2518*s - 18160/7 = 0. What is s? -227, -40, 1 Factor -27*k**3 + 25320*k**2 - 5933319*k - 1319766. -3*(k - 469)**2*(9*k + 2) What is l in 5*l**4 + 344880*l**3 + 2413955*l**2 + 2758680*l - 5517520 = 0? -68969, -4, 1 Let -m**2/9 - 1688*m/9 - 18205/3 = 0. What is m? -1655, -33 Factor -q**5 - 18*q**4 + 399*q**3 - 1568*q**2. -q**2*(q - 7)**2*(q + 32) Determine s so that 4*s**5/3 + 32*s**4 - 4144*s**3/3 + 35416*s**2/3 - 26268*s + 47432/3 = 0. -49, 1, 2, 11 Factor 5*c**5 - 170*c**4 + 1260*c**3 - 3510*c**2 + 3375*c. 5*c*(c - 25)*(c - 3)**3 Factor -a**2/6 - 4907*a/6 + 191884/3. -(a - 77)*(a + 4984)/6 Find m, given that m**2/4 + 71492*m = 0. -285968, 0 Determine z so that -2*z**5/5 - 16*z**4 - 72*z**3/5 + 244*z**2/5 + 394*z/5 + 156/5 = 0. -39, -1, 2 Determine g, given that 1156*g**5/11 + 4182*g**4/11 + 2214*g**3/11 + 218*g**2/11 + 6*g/11 = 0. -3, -1/2, -1/17, 0 What is h in -40*h**3 - 706*h**2 - 2822*h - 2156 = 0? -49/4, -22/5, -1 Factor -3*l**2/7 - 10992*l/7 - 765309/7. -3*(l + 71)*(l + 3593)/7 Suppose -y**2 + 494*y + 1491 = 0. Calculate y. -3, 497 Suppose -3*g**5/4 - 111*g**4/4 - 297*g**3/2 - 285*g**2 - 186*g = 0. Calculate g. -31, -2, 0 Suppose 4*n**4/5 + 28868*n**3/5 + 52813212*n**2/5 + 2617438828*n/5 - 2670280912/5 = 0. What is n? -3583, -52, 1 Factor -2*v**3 + 710*v**2 + 2168*v - 7160. -2*(v - 358)*(v - 2)*(v + 5) Determine x, given that -x**5/2 - 6*x**4 + 3*x**3/2 + 199*x**2 + 282*x - 1260 = 0. -7, -6, 2, 5 Factor -5*x**5 - 65*x**4 + 430*x**3 + 1630*x**2 + 1735*x + 595. -5*(x - 7)*(x + 1)**3*(x + 17) Determine o so that -15*o**5 + 1805*o**4 - 54585*o**3 + 16195*o**2 + 54600*o - 18000 = 0. -1, 1/3, 1, 60 Suppose -2*y**3/11 + 134*y**2/11 + 22*y - 1474 = 0. What is y? -11, 11, 67 Factor l**3/9 + 86*l**2/3 - 29335*l/9 + 28552/3. (l - 83)*(l - 3)*(l + 344)/9 Let p**5 + 2*p**4 - 72*p**3 - 128*p**2 + 512*p = 0. Calculate p. -8, -4, 0, 2, 8 Factor -3*q**3/7 + 76875*q**2/7 - 492211296*q/7 - 492749568. -3*(q - 12816)**2*(q + 7)/7 Factor t**2 - 659*t + 57720. (t - 555)*(t - 104) Let -2*j**4/9 - 706*j**3/9 + 2848*j**2/9 - 952*j/3 = 0. Calculate j. -357, 0, 2 Suppose 2*q**2/7 + 43858*q/7 + 87708/7 = 0. What is q? -21927, -2 Find q such that -2*q**2/5 - 5784*q/5 - 4181832/5 = 0. -1446 Find f, given that -f**4/11 + 30594*f**3/11 - 21269783*f**2 - 468027012*f/11 - 234028804/11 = 0. -1, 15298 Suppose t**3 + 31*t**2 - 410*t = 0. Calculate t. -41, 0, 10 Factor -m**2 + 197*m + 600. -(m - 200)*(m + 3) Suppose -2*j**4/7 + 188*j**3/7 - 102*j**2 - 30448*j/7 + 30976/7 = 0. What is j? -11, 1, 16, 88 Solve 2*h**4/19 - 162*h**3/19 + 2956*h**2/19 + 3120*h/19 = 0 for h. -1, 0, 30, 52 Solve -f**3/9 - 1808*f**2 - 7354944*f = 0 for f. -8136, 0 Factor
{ "pile_set_name": "DM Mathematics" }
, -2/3, -30 Sort -1070, 2, 3 in ascending order. -1070, 2, 3 Sort 1, 18, -2, 31 in increasing order. -2, 1, 18, 31 Sort -0.01, 13, 3, 2 in descending order. 13, 3, 2, -0.01 Sort 616, 5, -2 in decreasing order. 616, 5, -2 Sort 5, 2, -8, 3. -8, 2, 3, 5 Sort -0.2, 0.4, 0.1, -31 in increasing order. -31, -0.2, 0.1, 0.4 Sort -1/12, 81, -9, -5 in decreasing order. 81, -1/12, -5, -9 Sort 0.3, -8, -2, 0.6. -8, -2, 0.3, 0.6 Sort -2.62, -4/5, 4, 0.5 in decreasing order. 4, 0.5, -4/5, -2.62 Put -1, 7, 1, 0.5, 15/46 in decreasing order. 7, 1, 0.5, 15/46, -1 Put -4, -2, 4, 0 in decreasing order. 4, 0, -2, -4 Sort -242, -3, 1. -242, -3, 1 Put 6, 3, -27 in descending order. 6, 3, -27 Sort -4, -2, 17, 34, -1. -4, -2, -1, 17, 34 Sort 0, -5, -225, 2 in decreasing order. 2, 0, -5, -225 Sort 2, -1, 73, 1 in decreasing order. 73, 2, 1, -1 Put 5, -73, -0.4 in descending order. 5, -0.4, -73 Put -0.05, 9, -19, 2/5 in decreasing order. 9, 2/5, -0.05, -19 Sort 5, -1, 741. -1, 5, 741 Sort 5/2, 0, -5, -3, 0.5 in decreasing order. 5/2, 0.5, 0, -3, -5 Put -3, 36, -1/4 in decreasing order. 36, -1/4, -3 Sort 15, -1, -5, 6, -3 in descending order. 15, 6, -1, -3, -5 Put 166, -4, -5 in decreasing order. 166, -4, -5 Put 5, 1, 2 in increasing order. 1, 2, 5 Put -2, -0.7, 0.33, 0, 2/17 in decreasing order. 0.33, 2/17, 0, -0.7, -2 Sort 4, 1, 582, -1 in increasing order. -1, 1, 4, 582 Put -2, -5, 158, -1 in descending order. 158, -1, -2, -5 Sort -3/8, -102, 1/3, 8 in ascending order. -102, -3/8, 1/3, 8 Sort 4, -3/2, -11, -0.4 in descending order. 4, -0.4, -3/2, -11 Put 4, 0, 1582 in decreasing order. 1582, 4, 0 Sort 5, 3, -22, -5, -3 in ascending order. -22, -5, -3, 3, 5 Sort 11, -4, 2 in descending order. 11, 2, -4 Sort 21, -187, 4, 1 in decreasing order. 21, 4, 1, -187 Sort 0.4, 0.2, -0.27 in increasing order. -0.27, 0.2, 0.4 Sort 0.1, 2, 130, 3 in descending order. 130, 3, 2, 0.1 Put -21, -2, 12 in descending order. 12, -2, -21 Sort 6, 1, 13.1, 1/3 in descending order. 13.1, 6, 1, 1/3 Sort -10/7, -4, -0.04 in increasing order. -4, -10/7, -0.04 Sort -0.7, 1/6, -0.4, -5, 0.15. -5, -0.7, -0.4, 0.15, 1/6 Put 0, -5, -3, -4, 4 in ascending order. -5, -4, -3, 0, 4 Sort 5, -2/11, -41.8 in decreasing order. 5, -2/11, -41.8 Sort -1, 2, -4, 66, -40 in decreasing order. 66, 2, -1, -4, -40 Sort 8, 0, 3, 127, 5. 0, 3, 5, 8, 127 Sort 16, 6, -2/3 in decreasing order. 16, 6, -2/3 Sort -2/11, 1, 2, 0.2, -1/85. -2/11, -1/85, 0.2, 1, 2 Sort 30, -2, -3, 6 in descending order. 30, 6, -2, -3 Sort -11, 0, 1, -6 in ascending order. -11, -6, 0, 1 Sort -28, 4, 1, 6, -4 in increasing order. -28, -4, 1, 4, 6 Sort -4, -2/17, -146. -146, -4, -2/17 Sort 1, -11/2, -0.1, 3, 1/2 in descending order. 3, 1, 1/2, -0.1, -11/2 Sort 1.7, 0, 7 in descending order. 7, 1.7, 0 Sort -236, -3, 0.1. -236, -3, 0.1 Sort -11, -1, -14, -4 in descending order. -1, -4, -11, -14 Sort 4, -2, -83 in decreasing order. 4, -2, -83 Sort -5, -3/22, 4, -1 in descending order. 4, -3/22, -1, -5 Put -1, 0.2, -2, 3/5 in descending order. 3/5, 0.2, -1, -2 Put -4, -462, 3 in descending order. 3, -4, -462 Put 0.55, -5, 0.1, 1 in descending order. 1, 0.55, 0.1, -5 Sort 2/15, 2/7, 6/7, -1/3 in decreasing order. 6/7, 2/7, 2/15, -1/3 Put -3, -0.4, -16/3 in decreasing order. -0.4, -3, -16/3 Put 1/4, -16, 1/7, -2/3, 0.5 in ascending order. -16, -2/3, 1/7, 1/4, 0.5 Sort -251/7, 0, 0.4, 0.1. -251/7, 0, 0.1, 0.4 Sort 3, 7, -2, 2 in descending order. 7, 3, 2, -2 Sort -5, 3, -1, 4 in descending order. 4, 3, -1, -5 Put 2/7, -1/77, 0, 0.02, -1 in descending order. 2/7, 0.02, 0, -1/77, -1 Put 2/91, -2/7, 2, 1 in descending order. 2, 1, 2/91, -2/7 Put -40, 146, 0 in descending order. 146, 0, -40 Sort 0.1, -1/6, 2/9 in descending order. 2/9, 0.1, -1/6 Put 4, 383, 5 in decreasing order. 383, 5, 4 Sort -15, 3, -2, -1 in descending order. 3, -1, -2, -15 Sort 0, 2, 96 in ascending order. 0, 2, 96 Sort -425, -1, 0, -3, 6 in increasing order. -425, -3, -1, 0, 6 Sort 2, 5, -5. -5, 2, 5 Put -4, 5, 55, -3, 7 in ascending order. -4, -3, 5, 7, 55 Sort 1/6, 2, -287. -287, 1/6, 2 Sort -1, -57, 0 in increasing order. -57, -1, 0 Put 2/5, -3/2, -78 in increasing order. -78, -3/2, 2/5 Sort 3, 33, 0, -4, -2 in ascending order. -4, -2, 0, 3, 33 Sort -1, -5, -159 in descending order. -1, -5, -159 Put 385, 5, 3, -4 in descending order. 385, 5, 3, -4 Sort -2, 0, -110 in increasing order. -110, -2, 0 Sort -0.3, -18, 1/4, 12 in decreasing order. 12, 1/4, -0.3, -18 Put 1.58, -3, 4, 3.2, -2/13 in increasing order. -3, -2/13, 1.58, 3.2, 4 Put -5, 13, -1, 0.5 in increasing order. -5, -1, 0.5, 13 Put 5, -3/7, 2, -2, -5 in decreasing order. 5, 2, -3/7, -2, -5 Put -1, 29, 3 in decreasing order. 29, 3, -1 Sort 6, -19, 3. -19, 3, 6 Put -1, 2, 9, 4 in decreasing order. 9, 4, 2, -1 Put -20, 38, 5, -1 in ascending order. -20, -1, 5, 38 Put 5, 53, 2, -4 in descending order. 53, 5, 2, -4 Sort 0.5, 86, 0.07 in descending order. 86, 0.5, 0.07 Sort 0.05, -1/4, 4, -1/2 in increasing order. -1/2, -1/4, 0.05, 4 Sort 8, -2, 7, 1. -2, 1, 7, 8 Sort -2, -5, 71, -3, 9 in decreasing order. 71, 9, -2, -3, -5 Sort -1, 4, 2. -1, 2, 4 Put -35, 16, 0 in descending order. 16, 0, -35 Sort 0, 1749, -4 in decreasing order. 1749, 0, -4 Put -2, 23, -14 in increasing order. -14, -2, 23 Sort 2, 7, 11, -1 in descending order. 11, 7, 2, -1 Sort 1, -3, -5 in increasing order. -5, -3, 1 Sort -4, 6, 3, 5 in decreasing order. 6, 5, 3, -4 Put -2, 4, 15, 1 in descending order. 15, 4, 1, -2 Put -5, 0, 0.3, 28 in decreasing order. 28, 0.3, 0, -5 Put -2, 0.1, -0.3, -8 in descending order. 0.1, -0.3, -2, -8 Sort 0, 998, 1 in decreasing order. 998, 1, 0 Sort -4, 0, -21, 2 in ascending order. -21, -4, 0, 2 Sort 4, 19, 1 in decreasing order. 19, 4, 1 Put 5, 4, -3, 3, 277 in increasing order. -3, 3, 4, 5, 277 Put 12, 5, -1, -3 in increasing order. -3, -1, 5, 12 Put -0.37, 1/3, -2/3, 1, -3 in ascending order. -3, -2/3, -0.37, 1/3, 1 Put -3, -99, 3 in descending order. 3, -3, -99 Put -2, -3, 3, 11 in ascending order. -3, -2, 3, 11 Sort 4, 1, 9, -2 in ascending order. -2, 1, 4, 9 Sort -2, 89, 1, 3 in ascending order. -2, 1, 3, 89 Sort -5, -4, 22, 4. -5, -4, 4, 22 Put 0.3, 3, 1423 in increasing order. 0.3, 3, 1423 Sort 5, 1, -11 in increasing order. -11, 1, 5 Put 0, -17, 13 in increasing order. -17, 0, 13 Put 0.06, 0, 2/5 in decreasing order. 2/5, 0.06, 0 Put 2, -829, -2/3, 1/6 in ascending order. -829, -2/3, 1/6, 2 Sort -2, -0.4, 352, -19 in increasing order. -19, -2, -0.4, 352 Put 3, 0.04, -4, 0.003 in descending order. 3, 0.04, 0.003, -4 Sort -5, 1/4, 3, -11 in increasing order. -11, -5, 1/4, 3 Put 2, 0.11, -4 in descending order. 2, 0.11, -4 Put 0, 14, 2, -5 in descending order. 14, 2, 0, -5 Sort -0.2, 0.06, -3/17, 0.24 in decreasing order. 0.24, 0.06, -3/17, -0.2 Sort -16, -5, 4/27 in increasing order. -16, -5, 4/27 Sort 0.1, -1/8, 3, 2, 5. -1/8, 0.1, 2, 3, 5 Sort 2/9, 18/13, 1/2 in ascending order. 2/9, 1/2, 18/13 Sort 0.3, 13, -0.4, 1 in ascending order. -0.4, 0.3, 1, 13 Sort 5400, -0.2, -2/7, 0 in descending order. 5400, 0, -0.2, -2/7 Put -0.4, -427, 1/8 in descending order. 1/8, -0.4, -427 Sort 4, -1, -11, 2 in ascending order. -11, -1, 2, 4 Sort 3, -2, -5, 17, 0 in increasing order. -5, -2, 0, 3, 17 Put -2, -4, -72, 0, -5 in descending order. 0, -2, -4, -5, -72 Put -133/3, -0.2, -4/7 in decreasing order. -0.2, -4/7, -133/3 Put -2, 2, 0, 8 in decreasing order. 8, 2, 0, -2 Put -1, 362/9, 3/2, -2/9 in descending order. 362/9, 3/2, -2/9, -1 Put 84, -3, 4 in ascending order. -3, 4, 84 Sort 5, 0.3, 0, 2/13 in decreasing order. 5, 0.3, 2/13, 0 Put -0.05, -1, -439 in ascending order. -439, -1, -0.05 Sort 5, 1, -5, 29. -5, 1, 5, 29 Sort 3/2, 1, -2.2. -2.2, 1, 3/2 Sort 1/4, 55/9, -1/4, -2/5. -2/5, -1/4, 1/4, 55/9 Sort 5, -2, -13 in ascending order. -13, -2, 5 Sort 0, -3, 6, -34, -5 in ascending order. -34, -5, -3, 0, 6 Sort 197, 0, 2, 3 in increasing order. 0, 2, 3, 197 Put -6, -2, 825 in decreasing order. 825, -2, -6 Sort -0.5, -0.2, -4/5, -346 in decreasing order. -0.2, -0.5, -4/5, -346 Sort -1/8, 0.5, -0.39 in descending order. 0.5, -1/8, -0.39 Put 7, 3, 14, 1 in descending order. 14, 7, 3, 1 Sort -21, 0.4, 1. -21, 0.4, 1 Sort 0, 159, 4, -1, 2 in increasing order. -1, 0, 2, 4, 159 Sort 8/5, 0, 2, -5. -5, 0, 8/5, 2 Put -1, -86, 10 in asce
{ "pile_set_name": "DM Mathematics" }
et r be w(10). Let z be r*(-4 + 0 + -5 + 5). Let f = 31 - 17. Which is bigger: f or z? z Let f be (-43 - -58)*((-1)/3 + 1). Let b(i) = -i**3 + 9*i**2 + 17*i - 6. Let p be b(f). Let l be -4 + 6 - p/36. Which is smaller: 2/49 or l? 2/49 Let t = -2.71 + -0.19. Let y = t + 2.2. Let f(h) = h**2 + 6*h + 1. Let z be f(-4). Which is greater: y or z? y Suppose 49*f + 17595 = 134*f. Which is greater: f or 206? f Let z(b) = -3*b**3 + 58*b**2 + 30*b + 103. Let f be z(20). Are f and -1071/11 equal? False Suppose 3*f - 27 + 3 = 4*o, -4*o = 0. Let u be 15/12 - 2/f - -62. Suppose 0 = -2*a - 7*a - u. Is a greater than -1? False Let p(z) = 236*z**2 + 151*z - 855. Let u be p(5). Is 5800 at least as big as u? True Let i be (-2)/507*(-36597)/(-484). Let h = i - -12/169. Is -1 != h? True Suppose -2*i + 84 = -5*i. Let a = 30 + i. Suppose -5*l = a + 3. Is l less than -1/32? True Suppose 4*d + 5*h + 43 = 0, -21*d + 63 = -26*d + 3*h. Let k be (-438)/d + 3 + 3/(-2). Do k and -2 have the same value? False Let z(g) = -2*g**2 - 25*g - 5. Let n(k) = -k**2 - 12*k - 3. Let r(q) = -13*n(q) + 6*z(q). Let w be r(-9). Let o = -24 + w. Is o bigger than 10? True Let n = 15239 + -15218. Suppose 2*b = -2*b + 108. Let s = n + b. Are s and 46 non-equal? True Let h(c) = 12*c + 68. Let j be h(-6). Let k be 4*(-35)/(-225) + j/10. Which is smaller: 0.1 or k? 0.1 Let t = -163943 - -33444371/204. Let o(z) = z - 2. Let h be o(1). Which is smaller: t or h? h Suppose -226 = -22*t + 2*r, -4*t = -16*r + 18*r - 60. Suppose -p - 26 = -3*p + k, 5*k = -2*p + 2. Is t greater than p? False Let d = 33851 + -77453. Let g be d/7293 + 6/1. Which is smaller: 1 or g? g Suppose -2*l - 120 = 2*k, 19 = k + 12. Which is greater: -88 or l? l Let y be (-43)/(-9) + (-2)/(-9). Suppose 2*j + y*t - 18 = 0, 0*j + 5*j - 7 = -3*t. Suppose 6*v + 14 = v - 3*b, 0 = 3*v - 3*b - 6. Is v less than or equal to j? True Let a = -15 - -141. Let x = a + -89. Let o be (-2)/(-3) + (-106)/(-3). Which is smaller: x or o? o Let o(d) = -3*d - 16. Let f be o(-7). Suppose z + 2*z = -s + 29, -4*s + 133 = -f*z. Suppose -4*k - 4*j = -12, -2*k - 5 + 15 = 3*j. Which is greater: k or s? s Let v = 1580612/134084039 + -50/4219. Let g = -64468/14396793 - v. Is g greater than -1? True Suppose 5*r - 58 = 3*v, 4*r - 9 - 34 = -v. Suppose -41 = r*d + 3. Which is bigger: d or -5? d Let u(i) be the first derivative of i**4/4 + 8*i**3/3 + 5*i**2 - 10*i + 38. Let q be u(-6). Is q < -2? False Let f = -14700.8 - -14701. Which is bigger: -42 or f? f Let r(n) = -n**3 + 11*n**2 - 4*n + 393. Let z be r(13). Is 982 at most z? False Let w = 18458/51 - -126/17. Which is greater: w or 368? w Let w(c) = -2*c**3 - 2*c**2 + 1. Let z(l) = l**2 - 18*l - 64. Let q be z(21). Let u be w(q). Which is smaller: u or 2/249? 2/249 Let l = -868518/583 + 13718/53. Let g = 1234 + l. Is 4 less than g? False Let q(d) = 3*d**2 - d - 4. Suppose 0 = -3*c + 5*c. Let s be q(c). Which is smaller: -16 or s? -16 Let g(d) = -31*d - 171. Let x be g(-6). Suppose 5*z = -0 + x. Which is greater: z or -45/7? z Let w(r) be the second derivative of -r**3/6 + 27*r**2/2 + 40*r. Let g be w(8). Is 15 equal to g? False Let v be -8 + 0/(-5) + (-38)/(-5). Which is smaller: -293 or v? -293 Let s = 121 + -101. Suppose -5*k = -s, -z - 8 + 3 = -k. Let p be (-3)/(-18)*9/24. Are z and p unequal? True Suppose 0 = h + 14*h + 570. Let x be h + 46 + 62/(-8). Which is bigger: -4/5 or x? x Suppose 3*z = -2*g + 2396, -2826 + 479 = -3*z + 5*g. Does z = 798? False Let q = 4547 + -4741. Is q > -1? False Let x = 735.95 + -731. Let a = x - 4.85. Is -106 != a? True Let d = 46.299 - -1495.701. Which is smaller: 0.2 or d? 0.2 Suppose -19*k - 78 + 398 + 573 = 0. Is k not equal to 1006/21? True Let u = -691 + 968. Let n = u + -277.05. Let t = -1.4 - -1.2. Is n != t? True Suppose -5*p = -4*v - 5944, -3*p + 4*v + 821 + 2747 = 0. Is p at most 1187? False Let w be (-3 + 5)*(-55)/(-2). Let m be (132/w)/(6/50). Which is smaller: m or 23? m Let r(b) = -63916*b + 13. Let j be r(-4). Let l = 3833083/15 - j. Let h = -138 - l. Which is bigger: h or 2/5? 2/5 Suppose 4*o - 8 = -32. Let b be o/15*(-2)/(-10). Let l(n) = 9*n**2 - 48*n - 35. Let w be l(6). Is b >= w? False Suppose 49*w - 11542 - 74692 + 6707 = 0. Is 1622 at least as big as w? False Let p = -10241298/49 - -208998. Is -9 greater than or equal to p? False Let t be ((-13)/(-3))/((-3)/9). Let u = -354.83 + 350.83. Which is bigger: u or t? u Let z be 2778/(-7070) - ((-21)/35)/((-84)/(-60)). Are z and 1 equal? False Let l = -10.4 + -46.6. Let k = l - -31. Let u = k - -25.9. Is u != 0.66? True Let h = -99 + 105. Suppose -4*r = 5*c + 95, 4*r + 3*c = h - 111. Let l = -30 - r. Which is smaller: -2/169 or l? -2/169 Suppose -18*t = 95 - 779. Are t and 275/7 equal? False Suppose -2*d + 992 = -2*q, -d = 2*d + 5*q - 1528. Let r = 573 - d. Which is smaller: 0 or r? 0 Let h be ((-1)/(-2))/((-2)/(-3404))*1. Let t = h + -850. Let b be (-4)/14 + (-544)/(-1953). Is t greater than or equal to b? True Let o = -3541771/1936966 + 479/262. Is o > 1? False Let s = 27.956 - -0.044. Let w = -51 + s. Let p be 126/312 + (-4)/26. Which is smaller: w or p? w Suppose 2*r = 53 - 53. Suppose -2*z - 3*w + 8 = -r*w, 0 = -z + 5*w + 17. Suppose -2*x - z = 3*j, 3 + 5 = -x - 3*j. Is x not equal to -2/35? True Suppose 4*s + 5*a = 313, -s = -2*s - 4*a + 92. Let w be s/21 - (-9 - -12). Which is bigger: w or -1? w Let u = 124051/444 + -838/3. Are 0 and u nonequal? True Let t be -76 - -76 - ((-3261)/(-15) + (0 - 2)). Is t equal to -216? False Let m = -1021 - -2556. Let q = 7814/5 - m. Which is greater: 29 or q? 29 Suppose y = -5 - 1. Let q = -3/1201 + -45617/8407. Is q at most y? False Suppose 0 = 13*n + 6 + 98. Let y be ((-2)/37)/(12/n). Which is greater: y or 1? 1 Let m = 5744 + -5743. Are m and 3/35 unequal? True Let s = -9322 - -8995. Are s and -318 nonequal? True Let m be 12/(-3) + 13 + -6. Suppose 6 = 3*k, -2*k + m*k = -4*f + 18. Which is bigger: f or 26/3? 26/3 Let l be 2/(-3) + 94/(-3). Let a = l - -321/10. Let c = -4429 + 4430. Which is bigger: c or a? c Let l = 389955 + -4292463/11. Do -269 and l have different values? True Let i = 892 + -25848/29. Which is smaller: i or 1? i Let h = 1.825 - 2.2. Let f = h + 0.276. Is 0 at most f? False Suppose 4*l - 20*t - 100 = 0, -l = -39*t + 36*t - 19. Which is greater: l or 213/20? 213/20 Suppose -5*n + 3 = -v, n - 4*n - 9 = 0. Let p be (-1380)/(-18)*v/(-30). Which is greater: 44 or p? p Let q be (-162)/36*8/(-6). Suppose g + 7 = q. Is g less than 4/21? True Let m = -40666 + 41189.31. Let j = m - 523. Which is greater: -0.2 or j? j Suppose 4*i + 3*x + 125 = 37, 16 = 4*x. Suppose -12*v = -13*v + 2. Suppose -4*n - 3*d - 105 = 0, -v*d - 54 = 5*n + 72. Which is smaller: i or n? i Let k(z) = z - 16. Let v be k(15). Let c be (-53)/(-70) + 216/(-252). Which is smaller: v or c? v Let s = -164469/12974815 + -4/23807. Is -1 at most as big as s? True Let g = -249 + 256. Suppose 2*u - 4*k + 14 = 0, 4*u + 3 = 2*k - g. Is 3/8 less than or equal to u? False Let r = 193 + -77. Let h = r + -84. Which is smaller: h or 1? 1 Let r be (((-1105)/30 - 5) + -2)/((-4)/168). Are r and 3681/2 equal? False Let q = 2392 - 915. Is q > 1477? False Let c = 20 + -21. Let s = 8214 + -4493060/547. Is c at most s? True Let y = 333 - 369. Let u be (2 + (-15)/(-3))/(y/64). Are -13 and u nonequal? True Let u(q) = 28*q - 54. Let r(v) = 9*v - 18. Let s(i) = 7*r(i) - 2*u(i). Let l be s(3). Let f be ((-13)/(-4))/((-5)/(-4)). Does f = l? False Let z = -3491 + 1218355/349. Is 1 != z? True Let g(b) = -651*b**3 - 6*b + 5. Let m be g(2). Is -5214 greater than or equal to m? True Suppose -3*d + 6*d = 2*a - 10, 5*a - 25 = 3*d. Let q be -6 - -5*(-3 - (-9 + a)). Is -1/32 smaller than q? False Let x(c) = 2*c + 16. Suppose -13*j - 6418 + 698 = 0. Let m be ((-6)/5)/((-66)/j). Let z be x(m). Is -12 at most z? True Let q be 2/(-5)*(1053/(-6) + -2). Suppose -2*h = s - q, -4*h - 17 - 85 = -2*s. Let f be s - (-4 - -5)*-2. Which is smaller: f or 62? 62 Suppose -p = -3*p + 2*q + 1072, 0 = -p - 2*q + 542. Let k be 2/(80/p) + (-282)/(-376). Do k and 13 have the same value? False Let f = -3144 + 3355. Let d = 72 - -140. Is d bigger than f? True Suppose -5*t + 62 - 67 = 0. Let b = 100/7 + -1207/84. Which is bigger: b or t? b Suppose 9*h =
{ "pile_set_name": "DM Mathematics" }
nearest one hundred thousand. -1000000 Let b = -39.7000247 - -39.7. What is b rounded to 6 dps? -0.000025 Let a = 327 + -326.843. Round a to two dps. 0.16 Let k = 0.15 + -0.1499952. Round k to six decimal places. 0.000005 Let t = 0.09 - 0.08865. What is t rounded to four decimal places? 0.0014 Let v = -0.02984 - -0.028. Round v to 4 decimal places. -0.0018 Let l be (-1 - -4)*(3 + 86/(-6)). What is l rounded to the nearest ten? -30 Let b = 0.1061 - 0.098. Round b to three dps. 0.008 Suppose -22*z + 74400 = -6*z. What is z rounded to the nearest one thousand? 5000 Let n be 3/(-3)*(2 - 20246729). Suppose 0*x - x + n = 0. Let d = 35246727 - x. Round d to the nearest 1000000. 15000000 Let g(x) = -4686*x**3 - 2*x**2 + 14*x + 12. Let p be g(-11). Suppose -5*n - 55999998 = -u, p + 16163324 = -2*n - 3*u. Round n to the nearest 1000000. -11000000 Suppose 8*z + 350000 = 7*z. Round z to the nearest one hundred thousand. -400000 Suppose -2*c = -3*b - 15426 + 3430, b + 4006 = -3*c. What is b rounded to the nearest one thousand? -4000 Suppose 2194 = -7*o + 3*o - 3*y, -3*y - 1094 = 2*o. What is o rounded to the nearest 100? -600 Suppose 4*k = -2*r - 0*r + 26074, -3*r = -2*k - 39079. Suppose -4*x + r = -47771. Round x to the nearest 1000. 15000 Suppose 2*t - 3*t + 1 = 0. Let x = -3 + t. Let w be 3/6 - (-175)/x. Round w to the nearest ten. -90 Let g = -0.4 + 0. Let m = 0.3 + g. Let k = -0.100032 - m. What is k rounded to five dps? -0.00003 Let u = -15.94 + 16. Let b = u + -0.1. What is b rounded to two dps? -0.04 Let v be 276*(-11)/((-132)/100000). Round v to the nearest 1000000. 2000000 Let z be (-2)/3*(-12)/(-4). Let o be (-16051360 + z - 2) + -2. Let k = 6551366 + o. What is k rounded to the nearest 1000000? -10000000 Let z = -2.263 + -0.057. What is z rounded to one dp? -2.3 Let k = 1.027402 + -1.1194063. Let c = k - -0.092. What is c rounded to six dps? -0.000004 Let b(v) = 6*v. Let j be b(1). Suppose j*u - 43022940 = 2*u. Suppose -14444265 = -3*o + u. What is o rounded to the nearest one million? 8000000 Let v = 17.4 + -1.4. Let b = v + -16.00000028. Round b to 7 decimal places. -0.0000003 Let y(b) = -167215*b + 390210*b + 916258*b - 139253*b. Let o = 6 + -4. Let g be y(o). What is g rounded to the nearest 1000000? 2000000 Let j = 0.055 - 1.335. Round j to one dp. -1.3 Let j = 39 + 5. Let p = 13 - j. Let n = p + 30.9999914. What is n rounded to six decimal places? -0.000009 Suppose 3*k - 9 = 3. Suppose -k*y + 519988 = 4*m, 2*y + 102580 = m - 27426. Round m to the nearest 100000. 100000 Let i = -12765.994 - -12782. Let g = 0.306 - i. Let b = -15 - g. Round b to 1 dp. 0.7 Let o = 0.9529527 - 0.953. What is o rounded to 6 dps? -0.000047 Let a = 3.829984 - 3.78. Let t = -0.05 + a. What is t rounded to five dps? -0.00002 Let n be (41/2 - 2)*40000. Suppose 2*g + n = -0*g. What is g rounded to the nearest one hundred thousand? -400000 Let h(i) = -3*i**2 + 2*i - 1. Let f be h(1). Let s be 6/(-12) + (-5)/f. Let c be s/8 - 1/4. Round c to zero dps. 0 Let a = -1847 + 1847.751. What is a rounded to one decimal place? 0.8 Let n = 33.17 + -33. Let b = 1.2 - n. Round b to 1 dp. 1 Let t = -0.25 + -111.75. Let f = -112.00000063 - t. Round f to 7 decimal places. -0.0000006 Let a = 90.115 + -90. Round a to 2 decimal places. 0.12 Let u = -355233 + 354773.0309. Let p = -460 - u. Round p to three dps. -0.031 Suppose -2*w = -10, 2*d - 6*w + 2*w = -16540020. What is d rounded to the nearest one million? -8000000 Let y = -3 + 4. Let u be (-11)/(-5) - y/5. Let s be 716/(4/(-2)) - u. What is s rounded to the nearest one hundred? -400 Let f = -42.248743 + -0.048257. Let s = f - -42.77646. Let p = s - 0.48. Round p to four decimal places. -0.0005 Let k = 238052 + -5052. Round k to the nearest 10000. 230000 Let h = 249.573 + -0.573. Let z = -3531880832.0000133 + 3531881081. Let m = h - z. Round m to six decimal places. 0.000013 Let l = -5 + 5. Let j = l - -0.000055. What is j rounded to five decimal places? 0.00006 Suppose -4*q = -3*q. Suppose q*g - 3262 = -5*d + g, 2*g = 3*d - 1960. Suppose 1702 = -5*s + d. What is s rounded to the nearest 100? -200 Let i(t) = 2*t - 5. Let j be i(5). Let n be -10 + 2 + 5 + -2. Let y = n + j. What is y rounded to zero dps? 0 Let a(n) = -4*n**2 - 6. Let m be a(6). What is m rounded to the nearest one hundred? -200 Let k be (1 - 3)/(6/(-12)). Let g(q) = q**2 + 4*q. Let u be g(-5). Suppose k*i = u*i + 53000. Round i to the nearest ten thousand. -50000 Let g = -355.7984 - -364.73. Let j = g - -1.5014. Let m = j - 10.3. Round m to 2 dps. 0.13 Let i = -26.61787 + 30.617844. Let v = 13 + -17. Let x = i + v. Round x to 5 decimal places. -0.00003 Let v = 1 + -4. Let i = v + 3.00000048. What is i rounded to 7 dps? 0.0000005 Let l be (4/(-16))/(3/(-1524)). Round l to the nearest one hundred. 100 Let f be (-56353734)/10 - (-6)/(-10). Let m = -42582518 - -61117892. Let a = f + m. What is a rounded to the nearest one million? 13000000 Let c = 768751 + -1138751. Round c to the nearest 100000. -400000 Let b be -1 - -4 - (5 + -3 - 449). Round b to the nearest one hundred. 500 Let f = 1.9000009 + -1.9. What is f rounded to seven decimal places? 0.0000009 Let f be (-3 - -3)/3 + -2600. Round f to the nearest one thousand. -3000 Let n(v) = 2*v**2 + 6*v - 5. Let f(b) = 3*b**2 + 11*b - 9. Let j(g) = 4*f(g) - 7*n(g). Let u be j(2). What is u rounded to the nearest 10? -10 Let a = -2875987344.99999977 - -2875987320. Let v = a + 25. Round v to seven dps. 0.0000002 Let j = 611 - 610.667. Let w = j - 0.28. What is w rounded to two dps? 0.05 Let f = 0.52 - 0.19. Let u = f - 0.32932. Round u to four dps. 0.0007 Let h = -533 + 533.00237. Round h to four dps. 0.0024 Suppose 3*z = -3, 3*u = 4*z - z - 6. Let c be (u - -1)/(4/(-6)). Suppose b - 26988 = 4*y, b - 9343 = -c*y + 17666. Round b to the nearest 10000. 30000 Let k = -6.909 + -0.761. Let q = -0.13 + k. What is q rounded to the nearest integer? -8 Let l(w) = -w**2 + 6*w - 3. Let z be l(4). Suppose -373211 - 626804 = -z*g. Suppose -3*f - g = 2*f + 3*x, -2*x - 80002 = 2*f. Round f to the nearest 10000. -40000 Suppose -5*b = -10*b + 28500000. What is b rounded to the nearest 1000000? 6000000 Let o = 118.0047 - 118. Let v = 3.1347 - o. Let x = v + -2.6. What is x rounded to 1 dp? 0.5 Suppose 2*j + j = 0, -2*f + 45860 = 4*j. Let m = f + -36730. What is m rounded to the nearest one thousand? -14000 Let b = -1589672 + 1589655.10071. Let y = b - -16.9. Round y to 4 decimal places. 0.0007 Let a = -93.98 + 95. Round a to one decimal place. 1 Let p = -1.6 - -2.8. Let a = p + -0.5. Let r = a + -0.70096. Round r to 4 decimal places. -0.001 Let m = 0.71 + -0.8. Let f = m - -0.0954. What is f rounded to 3 dps? 0.005 Suppose -3*s - 3*v - v - 3870012 = 0, -4*s - 5*v - 5160015 = 0. Round s to the nearest 100000. -1300000 Let j = 25.6 - 30. What is j rounded to the nearest integer? -4 Let h = 23167.9945 + -23148. Let k = 20 - h. Round k to 3 dps. 0.006 Let c = 21 + -20.999998. What is c rounded to 6 dps? 0.000002 Let q(n) = n**3 + 5*n**2 - 8*n - 6. Let o be q(-6). Let h be 1049999 - (3 - (o - 2)). Round h to the nearest 100000. 1100000 Let z = 0 + -0.2. Let a = 0 - z. Let r = a - 0.23. What is r rounded to two decimal places? -0.03 Let k = -0.878 + 0.048. Let l = 654.73 + -655.56037. Let p = l - k. What is p rounded to 4 decimal places? -0.0004 Let p = 15 - 15.0156. Let w = p - -0.009. Round w to 3 decimal places. -0.007 Let t be 60/(-35) - 2/7. Let r be 3*(0 + 2/t). Round r to the nearest ten. 0 Let k(l) = -165*l**2 + 13*l - 26. Let r be k(22). Round r to the nearest ten thousand. -80000 Let h = 471663.9989 + -471684. Let d = h + 20. Round d to 4 decimal places. -0.0011 Suppose 19704 - 3804 = -3*q. Round q to the nearest 1000. -5000 Let q = -1273040676 - -1273034440.699966. Let a = -6234.1 - q. Let d = a + -1.2. Round d to 5 decimal places. 0.00003 Let b be (2 + -42)/(-1 + 0). Suppose -b = 3*f + f. Round f to the nearest one hundred. 0 Suppose 2*a = -4*d + 16, -d - 12 = -5*d. Suppose 2*i - 4*p = 0, -2*i + 0 = a*p - 12. Let z = i + -5. What is z rounded to zero decimal places? -1 Let x = -178 + 250. Let o = -192 + x. Let n = 120.0093 + o. Round n to 3 decimal places. 0.009 Let a = 21635428 - 21635434.7000086. Let t = 69 + -75.7. Let p = a -
{ "pile_set_name": "DM Mathematics" }
two letters picked without replacement from {r: 2, d: 4, w: 3, n: 1, i: 2}? 2/33 Three letters picked without replacement from {b: 10, j: 2, z: 5, q: 1, i: 2}. Give prob of sequence jjb. 1/342 Two letters picked without replacement from {t: 1, w: 3}. Give prob of sequence ww. 1/2 Four letters picked without replacement from diidmodoqd. What is prob of sequence mioq? 1/1260 Two letters picked without replacement from aooaoco. What is prob of sequence co? 2/21 What is prob of sequence ydb when three letters picked without replacement from dydkdkybybbddbrkx? 1/68 Three letters picked without replacement from {k: 7}. What is prob of sequence kkk? 1 Four letters picked without replacement from rrygttyrrtryr. What is prob of sequence rrtr? 3/143 Calculate prob of sequence qglq when four letters picked without replacement from {g: 2, q: 2, l: 1}. 1/30 What is prob of sequence myl when three letters picked without replacement from uluuyukyumuzuuu? 1/1365 What is prob of sequence effe when four letters picked without replacement from {v: 2, f: 7, e: 4}? 21/715 Calculate prob of sequence xzx when three letters picked without replacement from {s: 1, d: 1, c: 1, z: 1, x: 3}. 1/35 What is prob of sequence bb when two letters picked without replacement from ybybbylvbbolovbv? 1/8 Three letters picked without replacement from htpwttttpwpw. What is prob of sequence hhw? 0 Calculate prob of sequence zzz when three letters picked without replacement from zzzccz. 1/5 Two letters picked without replacement from zbzkzll. What is prob of sequence lk? 1/21 Calculate prob of sequence qgo when three letters picked without replacement from onwoowgowqo. 1/198 Two letters picked without replacement from {v: 1, f: 5, c: 3, q: 4, u: 2, g: 5}. Give prob of sequence cf. 3/76 Four letters picked without replacement from vgvglgggggglvgvggll. What is prob of sequence llgg? 55/3876 Calculate prob of sequence ra when two letters picked without replacement from {a: 2, r: 3, g: 3}. 3/28 Two letters picked without replacement from dwuzbid. Give prob of sequence db. 1/21 Three letters picked without replacement from gmgnognngrmggcm. What is prob of sequence rmm? 1/455 What is prob of sequence iii when three letters picked without replacement from iiihihhiihiihhiiii? 55/204 What is prob of sequence dddr when four letters picked without replacement from {d: 6, r: 10, g: 1}? 5/238 Calculate prob of sequence qwj when three letters picked without replacement from {j: 1, u: 1, q: 1, c: 1, w: 1}. 1/60 Two letters picked without replacement from {g: 1, j: 1, x: 1}. What is prob of sequence gx? 1/6 Four letters picked without replacement from {s: 1, r: 3, n: 3, x: 4}. What is prob of sequence rxsx? 1/220 What is prob of sequence bylb when four letters picked without replacement from {y: 8, b: 2, e: 1, s: 5, l: 3}? 1/1938 What is prob of sequence xx when two letters picked without replacement from xxxruxxxxxxxxxxxu? 91/136 What is prob of sequence cffp when four letters picked without replacement from {c: 5, k: 5, p: 4, v: 2, f: 3}? 5/3876 What is prob of sequence vc when two letters picked without replacement from vvvvvvvvvvvvvvcvvv? 1/18 Two letters picked without replacement from jbjjbbdbbbjbbjjbdj. Give prob of sequence jb. 7/34 What is prob of sequence ug when two letters picked without replacement from puiugmpgigig? 2/33 What is prob of sequence jv when two letters picked without replacement from vvj? 1/3 Three letters picked without replacement from woyyooofwkekfwy. What is prob of sequence yey? 1/455 Calculate prob of sequence pbm when three letters picked without replacement from {b: 2, h: 2, m: 1, j: 3, l: 3, p: 3}. 1/364 What is prob of sequence tjja when four letters picked without replacement from tasgdgj? 0 Two letters picked without replacement from cnnccnncnnnc. Give prob of sequence nc. 35/132 Two letters picked without replacement from biuibiinnubnhbiiehbi. What is prob of sequence iu? 7/190 Four letters picked without replacement from trvrrvwr. What is prob of sequence vtrr? 1/70 What is prob of sequence umm when three letters picked without replacement from {m: 2, k: 1, u: 1, e: 1}? 1/30 Calculate prob of sequence kcc when three letters picked without replacement from {k: 4, c: 7}. 28/165 Four letters picked without replacement from {n: 5, h: 9}. Give prob of sequence hnnn. 45/2002 What is prob of sequence xx when two letters picked without replacement from kskxrrkxrm? 1/45 What is prob of sequence vo when two letters picked without replacement from {v: 6, o: 6, b: 2, z: 4}? 2/17 Two letters picked without replacement from xxxxx. What is prob of sequence xx? 1 What is prob of sequence vtvv when four letters picked without replacement from vmvuvvtvmuuvvvvvtvvm? 22/969 Calculate prob of sequence euuu when four letters picked without replacement from eekueeeeeueukukke. 9/2380 What is prob of sequence uti when three letters picked without replacement from rnnnrirrtriniiiunrn? 5/5814 What is prob of sequence xccc when four letters picked without replacement from wxcwcwcwwxxwcwwwx? 1/595 Three letters picked without replacement from {b: 3, n: 5, s: 5}. What is prob of sequence ssn? 25/429 Three letters picked without replacement from pvfau. Give prob of sequence vpa. 1/60 What is prob of sequence jyyj when four letters picked without replacement from dyddjyjjjydcdddjc? 1/476 Three letters picked without replacement from {n: 3, o: 3, g: 1, m: 5, h: 4, i: 1}. Give prob of sequence hhh. 1/170 What is prob of sequence xx when two letters picked without replacement from {x: 5, h: 8, c: 2}? 2/21 Three letters picked without replacement from {f: 11, t: 2}. What is prob of sequence fft? 5/39 Four letters picked without replacement from {i: 1, l: 2, t: 1, j: 1}. Give prob of sequence ljti. 1/60 Four letters picked without replacement from hbhbbhbbbbhhhbhhbh. Give prob of sequence bhbb. 21/340 Three letters picked without replacement from {j: 2, l: 9, n: 2}. What is prob of sequence lll? 42/143 Four letters picked without replacement from zbzzbbzbzzzzzz. Give prob of sequence zzbb. 45/1001 Calculate prob of sequence ntn when three letters picked without replacement from {x: 2, t: 4, n: 9, r: 1}. 3/35 What is prob of sequence xlxl when four letters picked without replacement from {x: 3, i: 1, l: 11}? 11/546 Calculate prob of sequence dv when two letters picked without replacement from ddmdv. 3/20 Calculate prob of sequence wpww when four letters picked without replacement from {w: 7, p: 9}. 9/208 Three letters picked without replacement from {o: 1, u: 1, l: 1}. What is prob of sequence lou? 1/6 Three letters picked without replacement from {g: 9}. Give prob of sequence ggg. 1 What is prob of sequence gl when two letters picked without replacement from lslsglgggsgys? 5/52 Two letters picked without replacement from {b: 1, z: 5, n: 1, e: 2}. Give prob of sequence be. 1/36 Four letters picked without replacement from ahsaadsajhpssajahd. What is prob of sequence saad? 1/306 What is prob of sequence vun when three letters picked without replacement from {z: 3, p: 5, v: 1, u: 1, n: 1}? 1/990 Calculate prob of sequence tt when two letters picked without replacement from {t: 4, n: 3, m: 9, z: 2}. 2/51 Three letters picked without replacement from zccczzzzczzzzzczzz. Give prob of sequence ccz. 65/1224 Calculate prob of sequence rrkm when four letters picked without replacement from mmkrdmmmmmmrkrdlrknr. 4/969 Four letters picked without replacement from {m: 2, w: 5, z: 3, h: 3}. What is prob of sequence zmhw? 3/572 Three letters picked without replacement from ybbomo. What is prob of sequence mbb? 1/60 What is prob of sequence qq when two letters picked without replacement from {q: 6, d: 2, a: 3, t: 1, k: 1}? 5/26 Two letters picked without replacement from {i: 11, x: 5}. Give prob of sequence xx. 1/12 What is prob of sequence hnnn when four letters picked without replacement from nhnnhnhhhnnnnnnn? 165/1456 Calculate prob of sequence oo when two letters picked without replacement from oooorooo. 3/4 What is prob of sequence ivs when three letters picked without replacement from viisivnsxvni? 1/55 What is prob of sequence jjjh when four letters picked without replacement from {j: 9, h: 2}? 7/55 Ca
{ "pile_set_name": "DM Mathematics" }
en 85 is divided by 50? 35 Calculate the remainder when 253 is divided by 121. 11 Calculate the remainder when 225 is divided by 85. 55 What is the remainder when 399 is divided by 300? 99 What is the remainder when 438 is divided by 222? 216 What is the remainder when 58 is divided by 42? 16 What is the remainder when 223 is divided by 56? 55 What is the remainder when 4700 is divided by 1171? 16 Calculate the remainder when 1158 is divided by 577. 4 Calculate the remainder when 430 is divided by 145. 140 What is the remainder when 15 is divided by 5? 0 What is the remainder when 4348 is divided by 10? 8 Calculate the remainder when 130 is divided by 36. 22 Calculate the remainder when 90 is divided by 86. 4 What is the remainder when 523 is divided by 35? 33 Calculate the remainder when 99 is divided by 63. 36 What is the remainder when 201 is divided by 34? 31 Calculate the remainder when 685 is divided by 16. 13 Calculate the remainder when 338 is divided by 109. 11 Calculate the remainder when 448 is divided by 152. 144 What is the remainder when 137 is divided by 31? 13 Calculate the remainder when 240 is divided by 83. 74 Calculate the remainder when 309 is divided by 111. 87 Calculate the remainder when 2546 is divided by 52. 50 What is the remainder when 265 is divided by 129? 7 What is the remainder when 1725 is divided by 9? 6 What is the remainder when 2660 is divided by 222? 218 What is the remainder when 537 is divided by 17? 10 What is the remainder when 330 is divided by 177? 153 Calculate the remainder when 1449 is divided by 4. 1 Calculate the remainder when 125 is divided by 13. 8 Calculate the remainder when 3773 is divided by 37. 36 What is the remainder when 162 is divided by 40? 2 What is the remainder when 472 is divided by 177? 118 Calculate the remainder when 55 is divided by 14. 13 Calculate the remainder when 4151 is divided by 92. 11 What is the remainder when 10185 is divided by 36? 33 What is the remainder when 4599 is divided by 30? 9 Calculate the remainder when 1325 is divided by 148. 141 What is the remainder when 390 is divided by 42? 12 What is the remainder when 281 is divided by 15? 11 Calculate the remainder when 2330 is divided by 51. 35 What is the remainder when 767 is divided by 358? 51 What is the remainder when 126 is divided by 10? 6 What is the remainder when 1158 is divided by 40? 38 What is the remainder when 1748 is divided by 357? 320 What is the remainder when 159 is divided by 27? 24 Calculate the remainder when 2111 is divided by 105. 11 What is the remainder when 651 is divided by 106? 15 Calculate the remainder when 427 is divided by 10. 7 Calculate the remainder when 936 is divided by 27. 18 What is the remainder when 2956 is divided by 74? 70 What is the remainder when 284 is divided by 21? 11 Calculate the remainder when 63 is divided by 40. 23 What is the remainder when 980 is divided by 195? 5 Calculate the remainder when 829 is divided by 13. 10 What is the remainder when 1572 is divided by 156? 12 What is the remainder when 305 is divided by 143? 19 Calculate the remainder when 677 is divided by 12. 5 What is the remainder when 187 is divided by 7? 5 What is the remainder when 197 is divided by 53? 38 What is the remainder when 333 is divided by 48? 45 Calculate the remainder when 3070 is divided by 19. 11 Calculate the remainder when 155 is divided by 33. 23 What is the remainder when 914 is divided by 58? 44 Calculate the remainder when 701 is divided by 338. 25 Calculate the remainder when 148 is divided by 56. 36 What is the remainder when 178 is divided by 30? 28 Calculate the remainder when 587 is divided by 119. 111 Calculate the remainder when 552 is divided by 37. 34 Calculate the remainder when 67 is divided by 15. 7 What is the remainder when 161 is divided by 22? 7 Calculate the remainder when 757 is divided by 76. 73 What is the remainder when 2931 is divided by 4? 3 What is the remainder when 18892 is divided by 67? 65 Calculate the remainder when 4210 is divided by 108. 106 Calculate the remainder when 576 is divided by 58. 54 What is the remainder when 102 is divided by 15? 12 What is the remainder when 118 is divided by 1? 0 Calculate the remainder when 733 is divided by 107. 91 Calculate the remainder when 110 is divided by 43. 24 What is the remainder when 500 is divided by 99? 5 What is the remainder when 3346 is divided by 3344? 2 Calculate the remainder when 7926 is divided by 31. 21 What is the remainder when 2042 is divided by 146? 144 Calculate the remainder when 270 is divided by 71. 57 Calculate the remainder when 1005 is divided by 198. 15 Calculate the remainder when 531 is divided by 106. 1 What is the remainder when 1115 is divided by 348? 71 What is the remainder when 162 is divided by 41? 39 Calculate the remainder when 2553 is divided by 12. 9 Calculate the remainder when 594 is divided by 175. 69 Calculate the remainder when 124 is divided by 88. 36 What is the remainder when 238 is divided by 61? 55 Calculate the remainder when 734 is divided by 720. 14 Calculate the remainder when 57 is divided by 15. 12 What is the remainder when 108 is divided by 26? 4 Calculate the remainder when 4371 is divided by 111. 42 Calculate the remainder when 333 is divided by 12. 9 What is the remainder when 94 is divided by 55? 39 Calculate the remainder when 535 is divided by 24. 7 Calculate the remainder when 1242 is divided by 24. 18 What is the remainder when 771 is divided by 65? 56 What is the remainder when 593 is divided by 151? 140 What is the remainder when 2628 is divided by 331? 311 Calculate the remainder when 373 is divided by 17. 16 What is the remainder when 80 is divided by 22? 14 Calculate the remainder when 112 is divided by 101. 11 What is the remainder when 10070 is divided by 7? 4 What is the remainder when 867 is divided by 11? 9 Calculate the remainder when 225 is divided by 72. 9 Calculate the remainder when 18 is divided by 12. 6 Calculate the remainder when 575 is divided by 161. 92 Calculate the remainder when 162 is divided by 32. 2 Calculate the remainder when 2294 is divided by 751. 41 Calculate the remainder when 24601 is divided by 139. 137 What is the remainder when 2045 is divided by 6? 5 Calculate the remainder when 2774 is divided by 460. 14 What is the remainder when 23 is divided by 18? 5 Calculate the remainder when 591 is divided by 27. 24 Calculate the remainder when 126 is divided by 39. 9 What is the remainder when 12718 is divided by 48? 46 What is the remainder when 224 is divided by 34? 20 Calculate the remainder when 411 is divided by 134. 9 What is the remainder when 643 is divided by 129? 127 Calculate the remainder when 106 is divided by 12. 10 Calculate the remainder when 131 is divided by 42. 5 Calculate the remainder when 378 is divided by 61. 12 What is the remainder when 192 is divided by 51? 39 Calculate the remainder when 25343 is divided by 384. 383 Calculate the remainder when 131 is divided by 19. 17 What is the remainder when 471 is divided by 21? 9 Calculate the remainder when 77 is divided by 57. 20 What is the remainder when 1589 is divided by 30? 29 Calculate the remainder when 1767 is divided by 77. 73 What is the remainder when 81 is divided by 14? 11 What is the remainder when 898 is divided by 15? 13 Calculate the remainder when 59 is divided by 13. 7 What is the remainder when 1063 is divided by 136? 111 Calculate the remainder when 128 is divided by 65. 63 What is the remainder when 331 is divided by 108? 7 Calculate the remainder when 219 is divided by 178. 41 What is the remainder when 47 is divided by 14? 5 What is the remainder when 128 is divided by 34? 26 What is the remainder when 905 is divided by 70? 65 Calculate the remainder when 403 is divided by 69. 58 Calculate the remainder when 882 is divided by 26. 24 What is the remainder when 159 is divided by 20? 19 Calculate the remainder when 391 is divided by 156. 79 Calculate the remainder when 83 is divided by 34. 15 What is the remainder when 111 is divided by 25? 11 What is the remainder when 369 is divided by 144? 81 What is the remainder when 5334 is divided by 382? 368 What is the remainder when 366 is divided by 74? 70 What
{ "pile_set_name": "DM Mathematics" }
73815*o = 1073862*o + 2*t + 2685, -3*o + 3*t = 162 for o. -57 Solve 0 = 117*f - 119*f, 0*l - l - 5*f + 0 = 2 for l. -2 Solve o + 10 = 5*l, -36707*l - 5*o - 22 = -36704*l for l. 1 Solve y + 1021 = -5*g + 1011, 2*y - 5*g = -5 for y. -5 Solve 4459*t - 4460*t = -a - 5, -3*t = 5*a + 9 for t. 2 Solve -54*j - 68*a = -57*j + 6599, 5*j + 916 + 340 = -13*a for j. 1 Solve 5*n = 2*l - 2110 + 2123, 5*l + 170 = 40*n for n. 5 Solve 0 = -5*p - 11*g + 4*g + 2*g - 30, -8*g = -3*p + 2*p + 12 for p. -4 Solve 183*s = -13*o + 179*s - 49, 136*o + 4 = 132*o - 4*s for o. -5 Solve s + 8 = 0, -9*s - 5*s + 4*s = -z + 10*s - 14*s + 41 for z. -7 Solve -c + 118*s + 110 = -138, -5*c + 104 = -5*s + 34 for c. 12 Solve -72*v = -11*y + 15*y + 67*v + 10*v + 660, 3*y - 5*v + 28 = 0 for y. -16 Solve -3*b + 4*d = 71, -475*d = -b - 988*d + 516*d - 27 for b. -21 Solve -5*j - 104 + 1 = -4*k, j - 7*j + 4*k = 98 for j. 5 Solve 427 = -11*a + 2052*k - 2047*k + 129, 3*a = 2*k - 80 for a. -28 Solve -14 + 50 = 2*l - 50, -5*z + 5*l + 105 - 156 = 164 for z. 0 Solve 340*k + 4*d = -341*k + 678*k + 21 - 2, -2 = 3*k + d for k. -3 Solve w + 12016*t - 3 = 12017*t, 0 = t - 0*t + 1 for w. 2 Solve -493461*w = -42*i - 493457*w + 6, 2*w - 16 = 2*i for i. 1 Solve 2*r - 3*r + 28 = 5*s, -2*s = -33961*r + 33977*r - 136 for r. 8 Solve -2*k - 3*q = -76, 4*k - 541953 + 541817 = -2*q for k. 32 Solve 298*x - 5*u = 303*x + 5, 0 = -19*x - u - 91 for x. -5 Solve 616337*c - 616333*c - 2*z - 142 = 0, -3*c + 106 = -z for c. 35 Solve -2*m + 12*y + 72 = 0, 3*m - 2*y - 59 = 2*m - 39 for m. 12 Solve 635*w - 10 = -5*h + 1267*w - 631*w, 65 = h + 4*w for h. 5 Solve -3*k + 604*g - 33 = 625*g, -3*k + 5*g = 85 for k. -25 Solve 0 = 5*i + 4*t + 67, 3118*t + 265 = -5*i + 3103*t for i. 1 Solve 25 = -5*r, 74580693*t - 74580696*t = -5*r - 4 for t. -7 Solve -103*z = -32460*j + 32465*j + 540, -2*z = 4*j + 30 for z. -5 Solve -1336 = 2*c - 684 - 646, 2*s + 61 = 5*c for s. -38 Solve 0 = 28*k + 4*a - 12, 255*k - 255*k + a = -4 for k. 1 Solve -2*x + 16 = a, 0 = 46865*a - 46870*a + 4*x - 4 for a. 4 Solve 4*w + 24 = -k, 172*w - 8 = 176*w for k. -16 Solve 30*f + 280 = 3*v - 125, 0 = -2*f + 4*v - 8 for f. -14 Solve -5*a + 21 = 4*n + 6, 3*a + 11*n - 8*n = 12 for a. -1 Solve 3*b = 2*b + 23*m - 27*m + 18 - 0, b - 9*m = -34 for b. 2 Solve 3208*m - 3203*m = -5*y - 135, m - 3 = -11*y for y. 3 Solve 210 = 4*x + 2*g, 0 = 1107*x - 1112*x - 5*g + 250 for x. 55 Solve -4*o - 918526*s = -918524*s - 28, -4*o - s + 20 = 0 for o. 3 Solve 2*f - 1 = -u + 6, 4953 = -4*u - 2*f + 4987 for u. 9 Solve -5*u = 7*x - 21, -5*x + 64686 - 64671 = u for u. 0 Solve -4*x - 57276 = -2*v - 57250, -31 = 2*x - 7*v for x. -5 Solve 94*i = 6*p - 342, 5*i + 0*p - 41 + 36 = -2*p for i. -3 Solve -6*t + 7*t - 70*g = -1956, 7*t + 37*g - 38*g = 0 for t. 4 Solve -4*f - 76*v - 316 = 7*v, 354*f + 2*v = 358*f - 24 for f. 4 Solve 4*i = -j - 6*j + 307, -39*i - 35*i - 3*j - 13 = 0 for i. -2 Solve r - 5 = 4*t - 1, 371*r = 364*r + 28 for t. 0 Solve -5*u = d + 82 - 6, 5*d - 3*u - 55 = u for d. -1 Solve -3509*c + 3507*c = -10, 16*w = -3*c - 49 for w. -4 Solve 0 = 4*l + 93*q + 72*q - 8258, 4*l + 4*q - 66 - 72 = 70 for l. 2 Solve -4*j + 3*w + 32 = -0*j - w, -180 = -26*j + 4*w + 93 - 21 for j. 10 Solve -14*q - 6*z = -10*q - 36, -3*q - 3*z + 75 = 54 for q. 3 Solve 4*a - 38*q + 53*q = 21*q + 38, 2*a - 370 = 42*q for a. -4 Solve -2*k - 166 + 96 = -2*x, -4*k = 2*x - 40 for x. 30 Solve -j + 23 = -21099252*w + 21099249*w, 3*w = -4*j + 2 for j. 5 Solve -5*x = 5*l + 50, -x - 25*l + 2*l + 2 = 2*l - 28*l for x. -7 Solve 3*z - z = -9*b - 32, z - 156 = 4*b - 206 for z. -34 Solve 0 = -38*k - 31*k + 2*y + 213, 0 = k + 3*k - 3*y - 21 for k. 3 Solve 99*q = -5*i + 218, -1754*i = 3*q - 1757*i + 6 for q. 2 Solve -5*v = -4*i + 100, -v = 33*i - 75*i + 39*i - 3*v + 75 for i. 25 Solve -2922 = 2*v - 47*l, -2203*v - 2195*v = -4399*v + 2*l - 128 for v. -4 Solve 30*n - 2*x - 44 = 25*n, -6*x + 59660 - 59622 = 2*n for n. 10 Solve d - 3919 = -7719*x + 7859*x, -5*x - 5*d - 145 = 0 for x. -28 Solve 2*b - 32*w + 42 = -28*w, 0 = -w + 38 - 28 for b. -1 Solve 264 = 9*h + 48, 0 = -10*s + 3*h - 52 for s. 2 Solve -h - 2148778 + 2148795 = 2*t, -9*h + 2*h + 29 = -4*t for h. 7 Solve 14*s - 9*s - 4*r + 3*r = -3*r - 55, 7*s - 167 = 19*r + 27*r for s. -9 Solve 0 = 166*z - 158*z - q - 60, -37 = -3*z + 4*q for z. 7 Solve 0 = 6*j + o - 18, -135*j + 133*j = 2*o + o - 0*o - 54 for j. 0 Solve 61*b - 119 = -3*q, q - 9 = -5*b - 0*b for q. -1 Solve 14182*j - 5*i - 19 = 14184*j, -3*i - 1 = 6*j - 4 for j. 3 Solve 5*u = 31*j - 356, -3*j + 0*j + 5*u + 275 - 293 = -6*j for j. 11 Solve 154504*p - 154507*p - 3*q = 39, 3*q + 198 = -56*p for p. -3 Solve q + 32*m = -29, -2893*q + 2894*q + 2*m + 29 = 0 for q. -29 Solve -4*t - 23*u = 19*u - 37*u + 168, 5*t + 74 = -2*u - 0*u for t. -2 Solve -5*h - 55 = 4*n, 7051353*n - 7051375*n = -2*h + 214 for h. -3 Solve 0 = 5*p - 9*m + 4383 - 4360, p = 2*m - m - 7 for p. -10 Solve -8*u - 2*l = 6*u - 3*l - 215, 13 = 2*u - 2*l - 27 for u. 15 Solve s - 1975*i - 124 = -964*i - 1006*i, -5*i - 125 = 0 for s. -1 Solve 2*z + 5*w - 31 = -80, -5*w + 72 - 174 = -57 for z. -2 Solve -1020*j - 6 + 3 = -1022*j + 11*t + 58, 4*t + 20 = 0 for j. 3 Solve 6*l = -4*r - 46, -50*l - 164 + 130 = 3*r - 46*l for r. -10 Solve 248*k - 223*k + 3*f + 81 = 0, 5*k + 21 = -3*f for k. -3 Solve 18*u = 2*a + 280, 3*a + 99*u - 90 = 92*u for a. -5 Solve -2*o - 14382 = -2*h - 14360, o + h = -11 for o. -11 Solve 2*d + 54 = -192*s + 190*s - 24, 0 = 4*d + 6*s + 242 for d. 4 Solve -4*r - 24*s = 43*s - 8*s - 303, -3*r = -4*s + 14 for r. 2 Solve -4*l = 5*q + 44, -696*q + l + 11 = -700*q for q. 0 Solve 3*b - 100*k - 498 = 4*b, 3*b + 4 = -2*k for b. 2 Solve -h - 2*s - 26 = 0, 66*s + 124 = -4*h + 53*s for h. -18 Solve -1106*o + 256 = -1101*o - 2*r, -9*r + 174 = 3*o for o. 52 Solve -534*q - 2*y + 48 = -255*q - 268*q, 18 = 2*q + 5*y for q. 4 Solve -53*j + 46*j = 4*j - 5*d + 10, -5*j + 6*d = 12 for j. 0 Solve 4*a = -3*h + 6*a - 6, 4 + 3 = -h - 6*a - 43*a + 5 for h. -2 Solve 10483 - 10528 = 5*u + 2*h, -3*h = 30 for u. -5 Solve 3*x = -o + 14, -94*o - 282*o + 3*x = -198*o + 781 - 51 for o. -4 Solve 5*x - 36 = 5*d + 24, -4*d + 11*d + 53 = 3*d + 5*x for d. -7 Solve 12*x - 74692066 + 74692020 = -5*n, 3*n - 21 = -5*x for x. 3 Solve 2*j + 3*c + c + 54 = 0, -145*c = -13*c + 1321 + 263 for j. -3 Solve 43*m - 37*m - 3*t = -30, -2*t = -0 - 3 - 5 for m. -3 Solve 288*r - 312*r + 5*t - 182 = 0, 2*t + 0*t = 3*r + 20 for r. -8 Solve 199 = -49*s - 8*n - 577, -135*s + 3*n = -137*s - 2*n - 27 for s. -16 Solve 41*g + 2141 = 4*c + 562, 160 = 7*c - 5*g for c. -5 Solve -2*i + 2519 - 2507 = 0, -10*a + 18 = -13*a + 2*i for a. -2 Solve 23*a - 19*a = s - 19, s - a - 1 = -0*s for s. -5 Solve -541411*g + 541407*g = 2*v - 26, -4*g = 21*v + 31 for v. -3 Solve 0 = -3087*t + 3092*t - 2*s - 6, 3*s + 179 = -35*t for t. -4 Solve 24 = 5*i + 4*p - 2*p, 5630*i + 5*p = 5627*i + 3 for i. 6 Solve 4*r = 9843*d - 9837*d + 58, 15*d + 25 = -2*r for r. 10 Solve -4*h + 2*d = 84, 22*h + 510 = -437*d + 436*d for h. -23 Solve -3*a = 80*k - 78*k - 2*a - 18, -12 = 3*a for k. 11 Solve 0 = -40*j - 5*m - 2602 + 2222, -5*j - 2*m - 53 = 0 for j. -9 Solve 3*w + 2*i + 10 = 0, -7*w + 3*i + 318 = 4*i + 323 for w. 0 Solve -c - 2*j - 6 = 0, 2*c + 3*j - 20 - 21 + 51 = 0 for c. -2 Solve 4*r - 63 = -5*w, 7*w + r = 1058 - 1071 for w. -5 Solve 3375*r - 1602*r + 14 = 1779*r + 4*m, 2*r + 5*m - 1 = 0 for r. 3 Solve -3*j + 5 + 37 = -4*r - 5*j, -20*r = -13*r + 5*j + 114 for r. 3 Solve 23*x = -30*x + 56*x + 3*k - 36, -x - x - 3*k + 36 = 0 for x. 0 Solve 13*k = 2*t + 225, -29*t + 5*k = -85*t + 32*t + 27*t + 91 for t. -2 Solve 54*v - 28 = -49*v + 98*v + n, 57 = 9*v - 2*n for v. -1 Solve -22*d - 7*d + 2*d + 121 = 35*d - 3*s, 5*s = 5*d - 5 for d. 2 Solve 3*y + 24619653 = -2*p + 24619663, 2*y = -5*p + 3 for y. 4 Solve -10*c + 6*c - 48 = -8*v + 6*v, -5*c = 182*v - 2892 for v. 16 Solve -4*f = -60*t - 0*f + 212, -2*t + 2*t + 4*t + 69 = -11*f - 7 for t. 3 Solve -9 = 5*h + c + 3, 432*h - 4*c - 26 = 430*h for h. -1 Solve -3*p = 32*w - 30*w - 13, -2*p - 46 = 5*w - 3*w - 64 for w. 14 Solve -5*u = 44*f - 2*u - 2*u + 5, -f - 2*u - 3*u = 25 for f. 0 Solve -5*f = -2*k + 2*k + 20, 3*k + 708 = -2*f + 688 for k. -4 Solve -13*s - 78 = -2*j, 254306*s - 254302*s - 8*j = -120
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -5 - 210*r + 5 + 61*r. -149*r Collect the terms in -8*h**3 + 48*h**3 + 36*h**3. 76*h**3 Collect the terms in -2*y + y + 8*y - 3*y. 4*y Collect the terms in -9*w - 2*w + 9 + 14*w - w. 2*w + 9 Collect the terms in -59454*v + 2*v**3 + 59454*v. 2*v**3 Collect the terms in 16*x - 23*x + 104*x**2 + 7*x - 103*x**2. x**2 Collect the terms in -7*s**2 + 895 - 895. -7*s**2 Collect the terms in 0*n**2 + 0*n**2 + 5*n**3 - 8*n**3. -3*n**3 Collect the terms in 64*l**3 - 24*l**3 - 20*l**3 - 18*l**3. 2*l**3 Collect the terms in -21*t - t + 19*t. -3*t Collect the terms in 161 - 161 + 7*y. 7*y Collect the terms in 10*j**3 + 6*j**3 + 5*j - 5*j. 16*j**3 Collect the terms in -298*j + 298*j - j**3. -j**3 Collect the terms in 4*o**2 + 4*o**2 - 2*o**2 + 4*o**2. 10*o**2 Collect the terms in -5*o**3 - 7*o**3 + 9*o**3 - 8*o**3. -11*o**3 Collect the terms in -3*b**3 - 3*b**3 + 3*b**3 - 9*b**3. -12*b**3 Collect the terms in 9 - 18 + 9 + 9*r**2. 9*r**2 Collect the terms in -6008*o**2 - 6009*o**2 + 12014*o**2. -3*o**2 Collect the terms in 101 - v**2 - 101. -v**2 Collect the terms in -10 - 5 + 15 - 18*g**2. -18*g**2 Collect the terms in -2*g**2 + 1230*g - 1230*g. -2*g**2 Collect the terms in 7*q + 3*q**2 + 6*q - 3*q. 3*q**2 + 10*q Collect the terms in 3*q**2 - 8*q**2 - 12*q**2 + 4*q**2. -13*q**2 Collect the terms in -51*g + 8*g + 0*g - 18*g. -61*g Collect the terms in -23*s**3 - 22568 + 22568. -23*s**3 Collect the terms in 9*z**2 + 4*z**2 + 24 - 28*z**2 - 24. -15*z**2 Collect the terms in 20*a**2 - 30*a**2 - 8*a**2 + 21*a**2. 3*a**2 Collect the terms in -276*i**2 + 89*i**2 + 91*i**2 - i**3 + 96*i**2. -i**3 Collect the terms in -11*p - 2*p + 6*p. -7*p Collect the terms in -4*j**2 + 4*j**2 + 0*j**2 + 3*j**2. 3*j**2 Collect the terms in 39 + 31*v - 75 + 36. 31*v Collect the terms in -47*c**2 + 19*c**2 + 29*c**2 - 2*c**2. -c**2 Collect the terms in -2*x**3 - x**3 + 18*x**3 - 2*x**3. 13*x**3 Collect the terms in -3*y + 8*y - y + 3*y. 7*y Collect the terms in -79*r**2 - 12*r - 14*r + 26*r. -79*r**2 Collect the terms in -2*y**2 + 4*y**3 - 9*y**3 - 12*y**3. -17*y**3 - 2*y**2 Collect the terms in -63*k**2 + 178*k**2 - 58*k**2 - 56*k**2. k**2 Collect the terms in 5 - 2 + 5*a - 3. 5*a Collect the terms in 139783*f**2 - 139783*f**2 - f**3. -f**3 Collect the terms in -u + 34 - 34. -u Collect the terms in -39*c + 14*c**2 + 10*c**2 - 31*c**2 + 39*c. -7*c**2 Collect the terms in -i + 9*i - 5*i. 3*i Collect the terms in 0*y**2 - 6*y**2 + 6*y**2 + 3*y**3. 3*y**3 Collect the terms in 2 - 3*h**2 - 5 + h**2. -2*h**2 - 3 Collect the terms in -1925*v + 1318*v - 1754*v. -2361*v Collect the terms in 445*c + 399*c - 80*c - 1. 764*c - 1 Collect the terms in -6*i - 2*i - 13*i + 23*i. 2*i Collect the terms in 8*h**3 + 4*h + 0*h - 4*h. 8*h**3 Collect the terms in -l + 4324 - 2*l - 4324. -3*l Collect the terms in 4*m + 8*m + 37 - 3*m - 5*m. 4*m + 37 Collect the terms in 5*l**2 + 0*l**2 + 6*l**2 + 8*l**2. 19*l**2 Collect the terms in 2 + 5*o**2 + 34 - 36. 5*o**2 Collect the terms in -7*a**2 - 5673*a + 5673*a. -7*a**2 Collect the terms in -29580*b - 2*b**3 + 29580*b. -2*b**3 Collect the terms in 0*o**2 + o**2 - 5*o**2. -4*o**2 Collect the terms in 17*c + 5*c - 26*c + 6*c. 2*c Collect the terms in -1 - 49*h + 0 - 170*h - 1. -219*h - 2 Collect the terms in -99*b**3 - 56*b**3 + 154*b**3. -b**3 Collect the terms in 2855 - 2855 + 43*i**3. 43*i**3 Collect the terms in -a**2 - 3*a**2 + 6*a**2 - a**2. a**2 Collect the terms in 2*x**2 - x + 0*x + x**2. 3*x**2 - x Collect the terms in 20 - 3*y + 8*y - 8 - 12. 5*y Collect the terms in -3*k - k - 3*k + 14*k + 0*k. 7*k Collect the terms in -10*d**2 + 20*d**2 - 8*d**2. 2*d**2 Collect the terms in 207*h**3 + 0*h**2 - 3*h**2 + 3*h**2. 207*h**3 Collect the terms in -23*g + 5 - 5. -23*g Collect the terms in 335*n + 23*n**3 - 335*n. 23*n**3 Collect the terms in 0*n**2 + 17 - 3*n**2 + 5*n**2 - 20. 2*n**2 - 3 Collect the terms in 38*x**3 - 2*x**3 - 37*x**3. -x**3 Collect the terms in -7*y**2 + 1 + 0*y**2 - 1. -7*y**2 Collect the terms in 10*h - 10*h - 2*h**3 + 10*h**3. 8*h**3 Collect the terms in 2434*c**3 - 31*c + 31*c. 2434*c**3 Collect the terms in c - c + 18*c**3 + 22*c**3 - 20*c**3. 20*c**3 Collect the terms in -16282*s**2 + 16282*s**2 + s**3. s**3 Collect the terms in 7*y + 19 + 7 - 24. 7*y + 2 Collect the terms in 2*d**3 - 12 + 12. 2*d**3 Collect the terms in -4*a + 49*a**2 + 4*a + 2*a**3. 2*a**3 + 49*a**2 Collect the terms in -26*v - 274*v**2 + 273*v**2 + 7*v. -v**2 - 19*v Collect the terms in 14*k + 3 + 73*k - 3 - 86*k. k Collect the terms in -2*s + 3*s - 53*s**3 - s. -53*s**3 Collect the terms in -2 - 2 + 4 - 4*j. -4*j Collect the terms in -663*h**3 - 5 + 5 + 666*h**3. 3*h**3 Collect the terms in -11*j + 43 - 43 - 12*j. -23*j Collect the terms in 37 - 11 - 2*x**3 - 26 + x**3. -x**3 Collect the terms in 20*k**2 - 9*k**3 - 9*k**2 - 11*k**2. -9*k**3 Collect the terms in 8*r - 2*r - 4*r + 5*r. 7*r Collect the terms in -79*j + 226*j - 73*j - 74*j - 5*j**3. -5*j**3 Collect the terms in 132*i**2 + 3 + 161*i**2 - 2. 293*i**2 + 1 Collect the terms in 12 + 6*w + 17 - 29. 6*w Collect the terms in 30*v - 54*v + 25*v. v Collect the terms in 76 - 76 - 5*g. -5*g Collect the terms in -591*t + 668*t + 1353*t. 1430*t Collect the terms in -7 + 2*w**2 - 12 - 34. 2*w**2 - 53 Collect the terms in -6*n**2 - 826 + 826. -6*n**2 Collect the terms in 41*j**2 - 12*j**2 + 20*j**2. 49*j**2 Collect the terms in 3*u**2 - 5*u**2 - 4*u**2. -6*u**2 Collect the terms in 56*j**2 - 16*j**2 - 30*j**2. 10*j**2 Collect the terms in 116*l**2 - 189*l**2 + 2*l**3 + 73*l**2. 2*l**3 Collect the terms in -31*l**2 + 147 - 293 + 146 + 25*l**2. -6*l**2 Collect the terms in 7 - 7 + 16*o + 51*o. 67*o Collect the terms in 11 + 7 - 34 + 16 - f. -f Collect the terms in -2027*r**3 + 2026*r**3 - 2*r**2 + r**2 + r**2. -r**3 Collect the terms in 0*d**2 + 0*d**2 - 2*d**2 - 3*d**2. -5*d**2 Collect the terms in 4*a**2 - 11*a**2 - 2*a**2. -9*a**2 Collect the terms in -2 + 3 - 5 - 43*k**2 + 4. -43*k**2 Collect the terms in -10*q**3 + 25*q**3 - 7*q**3 + 0*q**3. 8*q**3 Collect the terms in -24*z**3 + 44*z**3 - 23*z**3. -3*z**3 Collect the terms in 2*l**3 + 3*l**3 + 8*l**3. 13*l**3 Collect the terms in -o**3 - 4*o**3 - 3*o**3. -8*o**3 Collect the terms in -8*i**2 - 10*i**2 + 16*i**2. -2*i**2 Collect the terms in -11*q**3 + 34*q**3 - 12*q**3 - 8*q**3. 3*q**3 Collect the terms in 44*c**3 - 14*c**3 + 24*c**3. 54*c**3 Collect the terms in 30305*g - 60611*g + 30304*g. -2*g Collect the terms in 12*m + 7*m - 30*m + 7*m. -4*m Collect the terms in 15*z**2 + 4809 - 4809. 15*z**2 Collect the terms in h**2 - 22*h**2 - 48*h**2 - 27*h**2. -96*h**2 Collect the terms in -5*y**3 - 6*y**3 - 23*y**3 + 0*y**3. -34*y**3 Collect the terms in 2*f - 131*f**2 - 106*f**2 + 1 + 46*f**2. -191*f**2 + 2*f + 1 Collect the terms in -49*o - 11*o + 11*o - 29*o. -78*o Collect the terms in -533*z + 266*z + 266*z. -z Collect the terms in -c**2 - c**2 + 5*c**2 + 8*c. 3*c**2 + 8*c Collect the terms in -497*m**3 + 503*m**3 + 5*m**2 - 5*m**2. 6*m**3 Collect the terms in 10*j - 22*j - j - 2*j. -15*j Collect the terms in -67*v + 70*v - 4*v. -v Collect the terms in -153*k**3 + 76*k**2 - 76*k**2. -153*k**3 Collect the terms in 164 - 16*h - 164. -16*h Collect the terms in 46*h**2 + 143*h**2 - 192*h**2. -3*h**2 Collect the terms in 18*w - 4*w + 0*w**3 + 2*w**3. 2*w**3 + 14*w Collect the terms in -8*c + 0*c + 4*c - 7*c - 7*c. -18*c Collect the terms in -725 - 722 + 1447 - 10*v**2. -10*v**2 Collect the terms in -3*c + 12*c - 14*c. -5*c Collect the terms in -4*t**2 - 1875*t - 10*t**3 + 1875*t + 4*t**2. -10*t**3 Collect the terms in 14*h**3 - 29*h**3 + 19*h**3. 4*h**3 Collect the terms in 9*p - 16*p + 9*p**3 + 10*p + 9*p**3. 18*p**3 + 3*p Collect the terms in 0 - 4 + 2 + n**2 + 2. n**2 Collect the terms in 24*t - 53*t - 2 + 3 - 46*t. -75*t + 1 Collect the terms in -22 + 4*f**2 + 22. 4*f**2 Collect the terms in 209 - 209 - 2*q**2 - 5*q + 5*q. -2*q**2 Collect the terms in -8*k**3 + 9*k**3 - 76 + 76. k**3 Collect the terms in -31*t**3 + t**2 - 24*t**3 - 4*t - 10*t**3. -65*t**3 + t**2 - 4*t Collect the terms in 4*w**2 - 10*w**2 + 27*w**2 - 39*w**2 - 36*w**2. -54*w**2 Collect the terms in 94*u - 760 + 760. 94*u Collect the terms in 4*a - 18 - 17 + 8 + 27. 4*a Coll
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -11*s**2 + 13/120*s**6 + 0*s + 1/3*s**3 + 0 + 0*s**4 + 0*s**5. Differentiate z(j) with respect to j. 39*j**2 Let z(o) be the second derivative of -o**4/6 + 59*o**3/6 - 21*o**2 - 34*o. What is the derivative of z(j) wrt j? -4*j + 59 Let k(j) be the third derivative of -j**9/7560 - j**5/10 - j**4/2 + 10*j**2. Let o(w) be the second derivative of k(w). Differentiate o(g) wrt g. -8*g**3 Let u be 2 - (0 + (-3 - -2)). Suppose 0 = u*g - 5*p + 14, -4*p + 0*p = -3*g - 10. Find the second derivative of -4*h + h**2 + h - g*h - 2*h**2 wrt h. -2 Let g(f) = 14*f - 1 - 22*f - 1. Let w be g(-1). Find the third derivative of 17*c**3 - 5*c**w + 13*c**3 - 30*c**3 - 6*c**2 wrt c. -600*c**3 Let t be 23*3 - -1*(-4 - -7). Find the first derivative of 93*f**3 + 4 - t*f**3 + 26 + 16 wrt f. 63*f**2 Let o(m) be the third derivative of -167*m**4/24 + 37*m**3/2 - 143*m**2. What is the derivative of o(f) wrt f? -167 Let l(c) = -265*c**3 - 18*c**2 - 384. Let m(z) = -529*z**3 - 39*z**2 - 768. Let y(a) = -13*l(a) + 6*m(a). What is the derivative of y(v) wrt v? 813*v**2 Let y(s) be the third derivative of 13*s**4/6 - 383*s**3/3 - 85*s**2 + 5. Differentiate y(t) with respect to t. 52 Suppose 2*s - 4*o = 24, 3*s - 3 = -s - o. Find the third derivative of -3*c**2 - 15*c**s + 12*c**4 - 2*c**2 + 3*c**4 wrt c. 360*c Suppose -7 = 3*i - 1. Let h be -1 + i*(-3)/2. What is the third derivative of -5*v**h + 153*v**3 - 153*v**3 - 5*v**5 wrt v? -300*v**2 Let z(k) = 52*k**3 - 8*k**2 + 3*k - 71. Let l(j) = 105*j**3 - 14*j**2 + 5*j - 141. Let w(g) = -4*l(g) + 7*z(g). Find the first derivative of w(v) wrt v. -168*v**2 + 1 Let m(u) be the second derivative of 12*u**5/5 + 13*u**4/3 + 8*u - 10. What is the third derivative of m(t) wrt t? 288 Let g(q) = 8*q**2 - 3*q - 7. Let n(t) = -t - 3. Let f(c) = g(c) - 4*n(c). Find the second derivative of f(d) wrt d. 16 What is the second derivative of -36*z**2 - 386*z + 752*z - 385*z wrt z? -72 Let g(l) be the first derivative of 2*l**3/3 - 14*l**2 + 69*l - 149. Find the first derivative of g(w) wrt w. 4*w - 28 Let r(o) be the second derivative of 14*o**6/15 + o**4/12 - 10*o**3/3 - 88*o. What is the second derivative of r(q) wrt q? 336*q**2 + 2 Let b(p) = -p**6 - 14*p**3 - 82*p**2. Let o(s) = s**3 + s**2. Let l(j) = 2*b(j) + 18*o(j). What is the third derivative of l(i) wrt i? -240*i**3 - 60 What is the derivative of -269 + 11*t**2 + 4*t**2 - 4604*t**3 + 2301*t**3 + 2310*t**3 + 3*t**2 wrt t? 21*t**2 + 36*t Let r(x) be the first derivative of 27*x**7/7 + 92*x**3 - 261. Find the third derivative of r(f) wrt f. 3240*f**3 Let w(i) be the second derivative of -32*i**6/15 - 15*i**2 + 125*i. Differentiate w(v) with respect to v. -256*v**3 Let h(r) be the first derivative of -5*r**9/504 + 7*r**5/20 + 2*r**2 + 20. Let d(x) be the second derivative of h(x). Find the third derivative of d(g) wrt g. -600*g**3 Differentiate 158 + 175*z**3 + 4*z**3 - 5*z**3 with respect to z. 522*z**2 Let g(f) = -3*f - 28. Let s be g(-14). What is the second derivative of 15*o - 6*o + 5*o**4 + 12*o - s*o**4 wrt o? -108*o**2 Suppose -5*l = -21 + 1. Let w be (-3 + l + 21)/1. Find the second derivative of -7*c**2 - 8*c**2 - 8*c + w*c**2 wrt c. 14 Let d(m) be the second derivative of 97*m**5/5 + m**3/2 - 26*m**2 + 19*m - 7. Find the second derivative of d(p) wrt p. 2328*p Suppose c = -c - 2. Let h(j) = 5*j**2 + j + 1. Let u be h(c). Find the second derivative of 0*b - b**5 - 4*b**u + 2*b + 0*b wrt b. -100*b**3 Let d(f) = 3*f + 55. Let h be d(-11). Find the second derivative of -151*w + h*w**5 + 10*w**5 + 192*w wrt w. 640*w**3 Let k(b) be the second derivative of 55*b**7/21 - b**5/10 + 11*b**4/6 + 2*b**3/3 - 159*b. Find the third derivative of k(p) wrt p. 6600*p**2 - 12 Find the second derivative of 4*u - 182*u - 70*u - 150*u**5 wrt u. -3000*u**3 What is the first derivative of 1900*b**2 + 720 - 979*b**2 - 995*b**2 - 5*b wrt b? -148*b - 5 Suppose -3*r + 0 + 21 = 0. Suppose 0 = -x + r*x. What is the first derivative of 0*g + 0 + x + 7*g + 1 wrt g? 7 Let d(j) = 783*j**3 + 12*j**2 + 500*j - 48. Let s(p) = -784*p**3 - 14*p**2 - 499*p + 56. Let n(k) = 7*d(k) + 6*s(k). Find the second derivative of n(l) wrt l. 4662*l Let d(k) be the third derivative of -k**6/24 + k**4/2 - 13*k**3 - 35*k**2. What is the first derivative of d(o) wrt o? -15*o**2 + 12 Suppose 23 = 3*n - 3*v - 46, -n + 2*v + 21 = 0. Let k = n + -23. Find the first derivative of 17*r + 6*r**k + 3 - 17*r wrt r. 12*r Let n(g) be the second derivative of 0*g**2 + 0 + 0*g**5 + 0*g**6 + 0*g**7 + 7*g - 27/56*g**8 + 0*g**3 + 5/4*g**4. Find the third derivative of n(i) wrt i. -3240*i**3 Let c(i) = 683*i**5 - 10*i**4 - 5*i**3 - 18*i**2 + 5*i + 10. Let o(n) = -2*n**4 - n**3 + n. Let t(w) = c(w) - 5*o(w). Find the third derivative of t(d) wrt d. 40980*d**2 Let m(h) = 133*h - 217. Let b(t) = -t + 3. Let l(a) = -2*b(a) - m(a). Differentiate l(k) wrt k. -131 Find the second derivative of 35*l**5 + 8 - 17*l - 3*l**5 + 23*l**5 - l wrt l. 1100*l**3 Let d(z) = z**3 + 3*z - 11. Let g(u) = u**3 + 4*u - 11. Suppose -7*q - 13 - 8 = 0. Let y(v) = q*g(v) + 4*d(v). What is the first derivative of y(o) wrt o? 3*o**2 Let y(i) = 25*i**3 + 20*i**2 + 161*i + 11. Let r(j) = 13*j**3 + 10*j**2 + 80*j + 6. Let p(n) = 11*r(n) - 6*y(n). What is the second derivative of p(z) wrt z? -42*z - 20 Let j(s) be the second derivative of -s**5/20 - 67*s**3/3 - 501*s**2/2 + 219*s. What is the first derivative of j(n) wrt n? -3*n**2 - 134 Find the third derivative of -5*x**2 - 4*x**2 + 1870*x**4 - 1871*x**4 + 3 + 2*x**2 + 2*x**3 wrt x. -24*x + 12 Let y be (4 - 110/25)*30. Let v be (y/24)/(2/(-68)). Find the second derivative of 7*k**4 - 7*k + v*k - 18*k**4 wrt k. -132*k**2 Let m(t) = 5*t**3 - 4*t**2 + 4*t - 5. Suppose 8*c - 48 = -16. Let x(n) = -n**3 + n**2 - n. Let k(a) = c*x(a) + m(a). What is the first derivative of k(q) wrt q? 3*q**2 Let i(s) be the first derivative of -149*s**2/2 - 167*s + 11. Find the first derivative of i(g) wrt g. -149 Differentiate 12*j + 26 - 38*j + 97 + 65*j + 66*j with respect to j. 105 Let b(q) be the first derivative of 17 + 0*q**3 - 10*q**2 - 1/2*q**4 + 0*q. Find the second derivative of b(u) wrt u. -12*u Let y(x) be the second derivative of 11*x**4/6 - 43*x**3/3 + 95*x. What is the second derivative of y(g) wrt g? 44 What is the derivative of 15*g**2 - 44*g**2 - 69*g**2 - 5 - 4 wrt g? -196*g Let x(p) be the first derivative of 19*p**7/7 - 7*p**4/4 + 556*p**3/3 + 442. Find the third derivative of x(d) wrt d. 2280*d**3 - 42 Find the first derivative of 6*j**3 + 51 - 11*j - 34 - 239 wrt j. 18*j**2 - 11 What is the third derivative of -2 + 9*v**2 + 112*v**3 + 6*v**3 - 19*v**3 wrt v? 594 Let k(p) be the third derivative of -7*p**8/8 - 31*p**5/60 - 197*p**2. Find the third derivative of k(q) wrt q. -17640*q**2 Let z(w) = -148*w**3 + 118*w**2 + 10. Let f(p) = 444*p**3 - 354*p**2 - 28. Let x(v) = -5*f(v) - 14*z(v). What is the third derivative of x(a) wrt a? -888 Find the third derivative of -859 - 143*m**5 + 859 + 97*m**2 + 35*m**5 wrt m. -6480*m**2 Let i(u) be the first derivative of u**7/14 - 23*u**3/6 - 19*u - 13. Let c(v) be the first derivative of i(v). What is the second derivative of c(d) wrt d? 60*d**3 Let r(c) = c**4 - 2*c**3 - 3*c**2. Let u(z) = -428*z**4 - 8*z**3 - 12*z**2 - z - 82. Let o(g) = -4*r(g) + u(g). Find the second derivative of o(a) wrt a. -5184*a**2 Let l(i) = 6*i**4 + 7*i**2 - 1732*i + 12. Let u(f) = 4*f**4 + 5*f**2 - 1155*f + 6. Let m(n) = 5*l(n) - 7*u(n). What is the derivative of m(z) wrt z? 8*z**3 - 575 Let p(c) be the second derivative of 19*c**6/360 - 7*c**4/8 - 5*c**3 + 31*c. Let a(q) be the second derivative of p(q). What is the derivative of a(d) wrt d? 38*d Let z(c) = -297*c**4 + 2*c**3 + c**2 - 4*c - 125. Let a(s) = -2*s**4 + s**3 - s**2 - 2*s - 1. Let p(l) = 2*a(l) - z(l). Find the third derivative of p(x) wrt x. 7032*x Let c be 39 + -36 + (-2)/((-4)/(-6)). Let z(t) be the first derivative of -3 + 3/2*t**2 + c*t + 0*t**3 - 3/2*t**4. Find the second derivative of z(x) wrt x. -36*x Let k(z) = 7*z**4 + 5. Let v(b) be the second derivative of 7*b**6/6 + 25*b**2/2 - 11*b. Let p(x) = 11*k(x) - 2*v(x). Differentiate p(y) with respect to y. 28*y**3 What is the second derivative of -79*y + y**4 + 4*
{ "pile_set_name": "DM Mathematics" }
, 1/4? f Let s = -2156 - -2156.08. Which is the closest to s? (a) -7 (b) 1/6 (c) -2/7 (d) -3 b Let t = 1373 + -894. Let l = 484.38 - t. Let x = l - 0.38. What is the nearest to -2/7 in x, -0.3, -2? -0.3 Let n = -12.73 + 7.73. What is the closest to -0.1 in 18.2, n, 5, -17? n Let k = 246/7 + -15751/448. Let j = 153/1600 + k. Which is the closest to 1? (a) 5 (b) 1/5 (c) j b Let j = 9.5 - 9. Let u = 500/3 - 3494/21. Which is the closest to j? (a) 5/4 (b) -0.4 (c) u c Let w be (-175)/(-100) + 9/(9/(-2)). What is the nearest to -2/7 in -267, -4/3, w? w Let v = 183 + -187. Let n be 2/9*(-1 + 4). Let b be 1 + (2 - (2 - 2)). What is the nearest to 6 in b, v, n? b Let r = -29007/26 + 2231/2. Which is the nearest to 0? (a) -4 (b) r (c) 69 (d) -3 b Let m = 0.1 + 0. Let c = -5/938 + -1851/4690. What is the closest to m in -4, c, 0.4, -0.1? -0.1 Let t(m) = 609*m - 13398. Let g be t(22). Which is the closest to 0.1? (a) 184 (b) g (c) 3 (d) -1/10 b Let a = -0.15 + 0.08. Let w = -4/25 - -1012/75. Let u = w + -14. What is the closest to u in a, -0.4, 5? -0.4 Let s = -16633/3 - -5543. What is the closest to -2.7 in s, -2, -3? -3 Let z be 2*2 - (-42)/(-10). Let t = -1542 + 16964/11. What is the closest to 0.3 in z, 1/7, t? t Let k = 1555.6 - 1603.6. What is the closest to 0.5 in -1, k, 5? -1 Let w be 12/24 + (-7)/(-2). Let q = w + -1. Suppose -7*k + 17 = q. Which is the closest to 1/4? (a) -1 (b) k (c) 5 a Let w = 0.037418 + -0.137418. Let z be -5 + (-2 + 1)*-1. Let x = 2.2 + -0.2. Which is the nearest to 0.1? (a) x (b) w (c) z b Let t = -15 - -16. Let f = -5456 - -27282/5. What is the closest to 1 in t, f, 6/13? t Let y = -1477 + 1476. Which is the closest to -0.3? (a) y (b) -17 (c) 0 (d) 2 c Let u be (-2)/(-4) + (-18)/12. Let d be -2*(45/15 - (1 - u)). Which is the nearest to -0.1? (a) 2/3 (b) d (c) -1 a Let i = -4.08 + 0.09. Let f = 4 + i. Let b = 0.2357 - 0.3357. What is the nearest to b in 0.2, 4, f? f Let h = 24.145 + -24.245. What is the nearest to h in -3/7, 0.4, -9? -3/7 Let i be 9 - 5 - ((-216)/15)/(-4). Let d = 18 + -25. Let z(f) = -83*f - 1326. Let j be z(-16). What is the closest to j in i, -2/23, d? i Let y = 22864 - 26615. What is the nearest to -0.1 in 0.4, y, 0? 0 Let d be (1 - -8)*18/(-135)*-5. Suppose d = -7*m - 8. Let n = 2 + -5. What is the nearest to m in 2, n, 2/9? n Let f = 17304 - 17306. What is the nearest to 6 in 13, f, -19, -1/2? -1/2 Let f = -0.22 + 0.52. Let b = -1/18 - -5/9. Let i = 2.6 + -3. What is the closest to -0.06 in i, b, f? i Let q be (-1)/(-2)*9*8/108. Suppose -2*c - 3*c = 10. What is the closest to q in 3/2, c, 0.3? 0.3 Suppose 327 = -5*d - 218. Let y = 5435 - 5326. Let r = y + d. Which is the closest to r? (a) 0 (b) 1/3 (c) -1/2 a Let h = -0.2 + 0. Let x(n) = 27*n + 77. Let i be x(-3). What is the closest to h in 26, i, 0.1? 0.1 Let l = 258.47 + -258.47. Let j = 0 + 2. Let p = -1.9 + j. Which is the closest to l? (a) -5 (b) p (c) 15 b Let n = -7 - -6.4. Let x be -27*(-4)/(-72)*6 + 7. What is the nearest to n in x, 0.3, 0? 0 Let c = 10207 - 40831/4. What is the nearest to 1/6 in 3/4, -3/5, 3, c? 3/4 Let x = 289 - 2602/9. Suppose 0 = 4*g + 2 - 6. Let s be (-8)/8 + g/1. What is the closest to s in x, 0, 0.4? 0 Let y = -91 - -81. Which is the nearest to 0.1? (a) 0.4 (b) y (c) 0.3 c Let u = -1.76 - -0.76. Let j = 31.5 - 31.8. Which is the closest to 1/2? (a) 0.5 (b) u (c) j a Let m = -924 - -929. What is the closest to -2/3 in 3, 2, 0.09, m? 0.09 Let k = 860519/202 - 4260. Which is the closest to -1/3? (a) k (b) 0 (c) 2 (d) -3 a Let i = 187 - 36. Let d = i - 173.2. Let r = d - -22. Which is the nearest to 0.3? (a) r (b) 0 (c) 0.5 c Let d = 79/14 - 36/7. Let q = 322.2 - 315.2. What is the closest to d in -3, 0.5, -0.3, q? 0.5 Suppose 52*x = -29 + 29. Which is the nearest to -9/8? (a) x (b) 1 (c) 4 (d) 7 a Let z(r) = 6*r + 105. Let t be z(0). Let g be t/(-150) + 1/2. Let x = -9 - -8.5. Which is the nearest to -1/2? (a) g (b) x (c) 0.1 b Let q(u) = 172*u - 169. Let y be q(1). Which is the closest to -2/11? (a) -20 (b) -2 (c) -4 (d) y b Let h be -2 + (-14)/(-6) - 11/231. Let b = 14.7 + -14.9. What is the nearest to 1/2 in h, 3/5, b? 3/5 Let r = 1580.55 + -1622. Let i = r + 41. Let v = i + 0.15. What is the closest to 0 in -0.5, v, 4? v Let t = 9376 + -9408. Let l = 0.43 + 0.07. Which is the nearest to 2? (a) -4 (b) 0 (c) t (d) l d Let r = 22 + -24. Let g = 2/5 - 0. What is the closest to r in 0.01, -1, g? -1 Let g = 3769 + -3768.69. Which is the nearest to g? (a) -0.08 (b) 1/5 (c) -5 (d) 3 b Let l = -67.4 + 67. Let u = 0.941 + -5.941. Which is the closest to 0.05? (a) l (b) 0 (c) u b Let t be 3 + 1 + 90/(-22). Let y(p) = -165*p + 2149. Let j be y(13). Which is the nearest to t? (a) j (b) -1/3 (c) 2 b Let a be (-3 - 1)*(-2)/20. Let i = 28 - 28.071. Let k = i + 2.071. What is the closest to k in a, -1, -4? a Let g = -10 + 5. Let j = -6 - -10. Let r = 1042 + -1042.2. What is the nearest to g in r, -2/13, j? r Let k = 139 - 138.986. Which is the nearest to k? (a) 1/9 (b) -0.1 (c) -3/5 (d) -0.5 a Let f = 13191 - 13202. What is the closest to 1/2 in f, 1, -4, -98? 1 Suppose 51 = 3*m - 261. Let v(z) = -164 + m + 2*z + 80. Let r be v(-11). Which is the closest to 1? (a) r (b) 2/7 (c) 1 c Let l = 32 - 48.5. Let q = -16 - l. Let x(j) = -j**3 + 6*j**2 + 6*j - 32. Let i be x(6). Which is the nearest to i? (a) q (b) 1 (c) 0.4 b Let w = -2040 - -2037. Which is the nearest to -2? (a) 0.1 (b) -4 (c) w c Let c = -3187/875 - 9/125. Let s = 45/14 + c. Let i = 42.5 - 43. What is the nearest to s in 1, 6, i? i Let p be 2*10/(-20)*15 - -7. What is the closest to 1 in -50/9, -2, p? -2 Suppose 5*o = o - 40. Let m be (o/(-50))/((-3)/(-6)). Which is the nearest to 6? (a) -0.3 (b) 0.3 (c) m c Suppose 7*i = 11*i + 2*v - 14, -5*i + 5*v = 5. What is the closest to 1/4 in 7, i, 2/3? 2/3 Let n = 53.09 + -53. Let z = n - -0.28. Let v = 0.17 - z. Which is the closest to 0.1? (a) v (b) -5 (c) -2/9 a Let r = 3731 + -48498/13. What is the nearest to 2 in -2, 3/4, r? 3/4 Let u be -152*(-19)/(-342) - -8. What is the closest to 0.1 in 7, -0.7, 5, u? u Let d = -80746049/703079 + 10/54083. Let h = -115 - d. Let m = -163 - -162.6. What is the nearest to -2 in h, 2, m? m Let v = 0 - -0.5. Let z = 2.2 + -1.6. Let j = z + 3.4. Which is the closest to 0? (a) j (b) v (c) -1 b Suppose -539 = -5*v - 509. Which is the closest to -3? (a) -0.5 (b) -4/3 (c) v b Let u = 1.1122 + -0.1122. Which is the closest to u? (a) -1 (b) -3.1 (c) -4 a Let j = 3.9342 + 0.0658. What is the closest to 8 in -0.1, -2/3, j? j Let d = -191/3 + 964/15. Which is the nearest to 2? (a) d (b) 0.36 (c) -1/2 a Let h be 32/(-18) + 0 + 2. Suppose -5*r - 5*p = 5, -5*p - 22 = -5*r - 17. What is the nearest to -2 in r, -0.7, -2/13, h? -0.7 Let p = -22.06 + 22.06. What is the closest to p in -2, 4/5, 51? 4/5 Let t = -331.9 - -335.9. What is the nearest to 3/2 in 11/6, t, -2? 11/6 Let p = -44/57 - -2/19. Let g = 139.65 + -134.65. What is the closest to p in g, 1/4, -1? -1 Let k be 19/(3971/(-2277)) - -11. Which is the closest to 0? (a) -1/4 (b) 3 (c) k c Let x = -223 - -889/4. Let q = 305 + -306.27. Let l = 0.27 + q. Which is the nearest to l? (a) x (b) -0.04 (c) 2 a Let r = 13 + -7. Let m = -6 + r. Suppose -8*w + 10*w + 2*s = -8, 5*w = -3*s - 16. What is the closest to m in -3, w, 4? w Let v = -10 - -5. Let x = -4809 - -4816. Which is the nearest to -2? (a) x (b) 3 (c) 2/7 (d) v c Suppose -33*u + 23 = -10*u. Suppose 2*k - u = 5*q, -5*q - 3*k = -k + 9. Which is the nearest to q? (a) -1 (b) 1.2 (c) -1/5 (d) 2 a Let t = -22427 + 201841/9. Which is the nearest to -1? (a) 3.6 (b) t (c) 3 b Let h = 2 + -1.6. Let x be (4/16)/((-18)/8) + (-9394)/24156. What is the closest to 1 in h, -0.3, x, 1/8? h Let u = -667 - -16673/25. Which is the nearest to -1/2? (a) u (b) 20 (c) 5 a Suppose -36 = 5*n - i, 0*i - 12 = 3*i. Let f be n/(-48)*(-4)/(-5). Which is the closest to -2? (a) -0.05 (b) f (c) 3 a Let x = 3013.97 + -3014. What is the nearest to 0.18 in 0, -4, x, 1? 0 Let r be 33/30 + (-5)/(-75). Which is the nearest to -0.2? (a) -3 (b) 0.01 (c) r b Let h(t) = -31*t + 869. Let z be h(28). Which i
{ "pile_set_name": "DM Mathematics" }
157 - 78. Let j = r + -88. Let z = 79 + j. Does 19 divide z? True Suppose -272 = -4*c - 44. Suppose f - 110 = c. Is 33 a factor of f? False Let x(s) be the second derivative of 25*s**3/6 - 15*s**2/2 - 35*s. Is 10 a factor of x(3)? True Is 6 a factor of 164/2*(-4)/8*-12? True Does 9 divide 1/(-2) - (-247)/26? True Let q(n) = 19*n - 96. Is 6 a factor of q(11)? False Let s be 0 + (-8)/4 - 1. Let q be -1*(0/s + 182). Is 5/(-30) + q/(-12) a multiple of 8? False Let v(a) = 2*a - 2*a - 2*a + 1 + 3*a. Let n be v(2). Suppose 5*d + 5 = 0, -2*g + 0*g + 61 = n*d. Is 13 a factor of g? False Let n be (3/(-4))/(2 - (-45)/(-24)). Does 15 divide 2*8*(-33)/n + 2? True Suppose -8743 = 40*k - 42863. Is 65 a factor of k? False Let o(d) = 3*d + 51. Let h be o(-17). Suppose h = -5*p + 11*p - 672. Is p a multiple of 34? False Let w be -1 + 2/(2/(-3)). Let s(y) = y**3 + 4*y**2 - 2*y + 1. Is 4 a factor of s(w)? False Suppose n - 2 = 2. Suppose 64 = 6*v - n*v. Is 16 a factor of v? True Suppose 52 = 5*u + a, 0 = 3*u + 2*u - 2*a - 61. Let n be 1/2 - 11/(-2). Let g = u - n. Is g a multiple of 3? False Suppose 3*d = -5*b + 6*d + 15, d = -4*b + 12. Let y(s) = 52*s + 4. Is y(b) a multiple of 32? True Let g be 4790/(-40) + 2/(-8). Does 7 divide -34 - g - (0/(-1) - 0)? False Is 14 a factor of (-74)/4*-8 - (1 - 1)? False Let x(w) = 6*w + 4. Let y be x(-7). Suppose -3*j + 89 = -85. Let d = y + j. Is d a multiple of 20? True Let i(c) be the third derivative of -c**6/120 + 11*c**5/60 + c**4/24 - 3*c**3/2 - 2*c**2. Let v be i(11). Is (v/2)/((-6)/(-42)) a multiple of 3? False Suppose -2*q - 4*c = -44, -4*q + 2*c + 112 = 4*c. Let p = q - 4. Let y = p + -18. Is y a multiple of 3? False Let p be (-10)/(-15)*(-1482)/(-4). Suppose -4*y + p = -241. Is y a multiple of 25? False Let b(y) = y**3 - 52*y**2 + 75*y - 802. Is b(51) a multiple of 29? False Let l(n) = 14*n**3 - 3*n**2 + 4*n - 3. Suppose 8*t - 9 = 7. Is l(t) a multiple of 21? True Suppose 3*v - 306 = -30. Is 6 a factor of v? False Suppose -3*v - 3*t = 57, v + 3*t + 3 = -6. Is (v*(-10)/45)/((-2)/(-24)) a multiple of 27? False Let s(x) = 6*x - 4. Let w be s(14). Let j = w + -32. Suppose -72 = -2*v + j. Is v a multiple of 10? True Let z be (-6 - -3) + 2 - -4. Suppose z*p + 3*u = 60, -4*p + 2*u = -p - 40. Is p even? True Suppose -148 = 6*o - 1198. Let b = -109 + o. Does 27 divide b? False Does 48 divide (-81)/108*(-10)/6*244? False Is 30 a factor of 60*(-4)/6*45/(-3)? True Suppose 0 = -23*p + 10294 - 519. Does 21 divide p? False Let z(s) = 2*s + 13. Let h be z(-6). Suppose 0*u = u - h. Suppose j = -5*b + 60, -u = -b + 3. Is j a multiple of 10? True Let q(y) = -3*y**3 - 7*y**2 + 4*y - 6. Is 14 a factor of q(-8)? True Let o = 389 + -364. Does 2 divide o? False Let h be 1/((-3)/(-12)) - -10. Let b(j) = j**2 - 13*j - 5. Is b(h) a multiple of 3? True Let w = 557 + 115. Does 28 divide w? True Suppose -2288*s = -2287*s - 72. Does 8 divide s? True Is 8 a factor of (-432)/(-45)*1*5? True Suppose r - d + 9 = -0*r, -r - 13 = 3*d. Let v = -7 - r. Does 12 divide v/(1 - 21/24)? True Suppose -17*d - 7 = -18*d. Let b(t) = -t**3 + 9*t**2 - 7*t - 4. Does 12 divide b(d)? False Let u be ((-5)/((-10)/(-8)))/(16/8). Suppose 14 = -4*i + 5*l - 6, -4 = 5*i - l. Is (-51)/6*(u - i) a multiple of 15? False Let i(o) = o**3 - 21*o**2 + 29*o + 47. Let m be i(21). Suppose 0 = 2*n + 14*n - m. Does 2 divide n? False Suppose 3*h - 2*h = -2*s - 71, 4*s + 73 = -h. Let m = 126 + h. Is 16 a factor of m? False Suppose -6*h - 4*m - 1629 = -9*h, -2*h + 1072 = 2*m. Is h a multiple of 32? False Is (-4485)/(-5) + (1 - 15/(-3)) a multiple of 43? True Let s = 111 - -90. Is s a multiple of 14? False Suppose 2*o - g - 1316 = -0*g, -g = 3*o - 1979. Is o a multiple of 66? False Let t(p) = p**3 + 9*p**2 - 11*p - 10. Let d be t(-10). Let s be (1 - d) + -2 + 58. Suppose 3*a - 5*q = 13, 3*q - s = -5*a + 10. Is a even? False Let n = 3154 + -1969. Suppose 5*z - n = 5*f, -7*z + 8*z = 5*f + 253. Does 15 divide z? False Let h(n) = n**2 + 4*n + 3. Let v = 30 - 17. Let p = v - 18. Is 6 a factor of h(p)? False Let b(q) = -q**3 + 10*q**2 + 6*q + 13. Is b(9) a multiple of 4? True Suppose c = 2*q - 101, 0 = -2*c + 3 - 5. Suppose -53*o + q*o = -1215. Is 47 a factor of o? False Suppose -2*x + 2*q + 3*q + 1181 = 0, 0 = 3*x + 4*q - 1760. Does 42 divide x? True Suppose 17*x + 7 - 1843 = 0. Is 18 a factor of x? True Suppose 762 = 5*x - 3*y - 0*y, -434 = -3*x - 4*y. Is x a multiple of 15? True Let t = -38 - -64. Suppose 4*c + 156 = 5*f, -t = -2*f - 4*c + 42. Is 9 a factor of f? False Let g(z) = -z**3 + 14*z**2 + 11*z + 27. Does 49 divide g(13)? False Suppose -c + 11 = 3*t, 7*t - 2*t = -4*c + 9. Suppose 5*d = t*z - 65, 7*d - 4*d = -5*z + 105. Does 12 divide z? False Let m(a) = a**2 + 13*a - 14. Let f be m(-14). Suppose 7*b - 6*b - 94 = f. Is 15 a factor of b? False Let a(l) = -l**2 - 19*l - 15. Let y be a(-18). Suppose -38 + 8 = -y*n. Suppose 5*q + 345 = n*q. Is 23 a factor of q? True Suppose 4*g - 415 = u, -3*g - 2*u + 0*u = -325. Let h = 186 - g. Does 22 divide h? False Suppose -5 = -j, -5*l + 4*l - j - 1 = 0. Let b(n) = -n**3 - 8*n**2 - 20*n + 5. Is b(l) a multiple of 11? False Suppose -14 = 10*j + 26. Suppose f = 2*f - 2. Let a = f - j. Is 6 a factor of a? True Let w be 0*(4/(-10) + 1/(-10)). Suppose 7*m - 241 + 10 = w. Is 9 a factor of m? False Let o(c) = c + 5. Let h be o(-5). Suppose h = -7*v + 2*v + 410. Suppose i - v = -i. Is 11 a factor of i? False Suppose -2*a + 17 = -19. Suppose -42 = -5*q + a. Is q a multiple of 6? True Let p be 3/((-2)/2) - -8. Suppose 3*o + 0 = 15, 5*i - p*o = 335. Does 32 divide i? False Is 2 a factor of 6/(-4) - (-3)/((-36)/(-174))? False Suppose 1080 = -0*r + 6*r. Suppose 0 = -5*m + r - 10. Is 5 a factor of m? False Let i(s) = s**3 + 6*s**2 + s + 6. Let v be i(-6). Suppose v = -o, 2*n + 4*o = 6*n. Suppose 2*m = -f + 24, n = -4*f + 3*m + 23 + 73. Does 24 divide f? True Let w be 4/10 + (-20)/50. Suppose -3*m + 134 = 2*f, w = -f - 2*m + 41 + 27. Is f a multiple of 32? True Suppose 2*o - r - 778 = -0*o, 2*o + 3*r = 786. Does 26 divide o? True Suppose -2465 = -4*x + 7*m - 10*m, -1219 = -2*x + 3*m. Does 26 divide x? False Let h(k) = k**3 + 12*k**2 - 2*k - 16. Let z be h(-9). Suppose -z = -n - 6*n. Is n even? False Let u be 2 - 4/8*-6. Let s be 2/(-3)*(-8 + u). Does 7 divide (56/12)/(s/9)? True Let u(w) = -5*w - 5*w**2 + 2*w**2 + 2*w + 5*w**2. Let c be u(2). Is 23 a factor of 71 - (4/1)/c? True Suppose 3*n - 45 = -2*a, 4*n - 5*a - 63 + 3 = 0. Suppose -498 = 9*r - n*r. Is r a multiple of 9? False Suppose -4*a - d + 2 = 0, 1 - 7 = -2*a - 3*d. Is 52 + (0 - a - (-3)/1) even? False Let z = 2135 - 1992. Is z a multiple of 13? True Let r(t) = -3*t + 4. Let v(k) = 13*k - 16. Let l(a) = 9*r(a) + 2*v(a). Let c be l(6). Is c/(-3)*(29 + 1) a multiple of 7? False Suppose 772 = -18*h + 4552. Does 10 divide h? True Suppose 6 + 19 = 5*v. Suppose 4*p = -0*c - 5*c + 970, 5*c - 925 = v*p. Is c a multiple of 24? False Let x(t) = t - 2. Let l be x(4). Suppose 0 = -l*r + 6 + 10. Suppose 4*b - 168 = r. Is 22 a factor of b? True Suppose 4*g = -4*x - 16, -g + 12*x - 12 = 15*x. Suppose 4*w - 482 + 26 = g. Does 19 divide w? True Suppose 10*p + 76 = -44. Is 4 a factor of 1*8 + (p - -8)? True Let s(d) = 2*d**2 + 3*d. Let k be s(-3). Let b = -13 + k. Let j = b + 34. Is 15 a factor of j? True Suppose -2*h = -3*o + 9, 0 = 5*o + h - 5*h - 13. Does 5 divide o? True Let n(g) = 3*g - 12. Let x be n(7). Suppose -x + 3 = -6*h. Is (-20)/(-5)*h*2 a multiple of 3? False Let k be (3 + (-5)/2)*6. Let v(w) = w**2 - 4*w + 1. Let r be v(k). Is 16 a factor of 51/2 + 1/r? False Suppose -3*j + 4*v - 505 + 5118 = 0, 1546 = j - 3*v. Is 51 a factor of j? False Let w = -983 - -1592. Is 42 a factor of w? False Let g be (-5)/(-4 + 9) - -29. Let l = 56 - g. Does 13 divide l? False Let w be (-3)/(-15) - 5/(50/(-8)). Is 8*(79 - w)/6 a multiple of 12? False Suppose -24*a + 25*a - 17 = 0. Is 4 a factor of a? False Suppose -3*s = s + 40. Let k be (-7 - s)*10/2. Suppose -d - 3*y + k = 0, 6*y = 3*d + y + 11. Is d a multiple of 3? True Let i = 673 + -181. Is i a multiple of 12? True Suppose 45*v = -73*v + 105964. Does 14 divide v? False Let u be 1*(6 + -4 - 0). Suppose 0 = -u*y + w + 214, 5*w - 21 = -4*y + 393. Is 23 a factor of y? False L
{ "pile_set_name": "DM Mathematics" }
z = -19 + h. Differentiate 4 + 9 + 29*g - z - 30*g with respect to g. -1 Let v(o) = -o**3 + 9*o**2 + 11*o - 7. Let j be v(10). What is the derivative of 9 + 56*h - 56*h - j*h**4 wrt h? -12*h**3 Suppose -2 + 17 = -5*p, 0 = -2*a - 3*p + 7. What is the second derivative of 2*s**4 + s + a*s**4 + 3*s**4 wrt s? 156*s**2 Let u(o) = o**3 - 5*o**2 - 3*o + 5. Suppose -4*v = -0*v - 24. Let p be u(v). Find the third derivative of p*l**5 - 25*l**5 + 3*l**2 - 7*l**2 wrt l. -120*l**2 Let s(t) = -7*t**2 + 8*t - 33. Let v(z) = -43*z**2 + 47*z - 196. Let y(a) = -13*s(a) + 2*v(a). Differentiate y(p) with respect to p. 10*p - 10 Let y(f) = -47*f + 71. Let w(g) = -95*g + 144. Let x(t) = -4*w(t) + 9*y(t). What is the first derivative of x(r) wrt r? -43 Suppose -4*h + 12 = -h - 4*p, -2*h + 8 = 3*p. Find the third derivative of -2*c**4 + 0*c**2 + 11*c**6 + 8*c**2 + 2*c**h wrt c. 1320*c**3 Let z(t) be the first derivative of -143*t**6/6 - 17*t**3/3 - 30. Find the third derivative of z(w) wrt w. -8580*w**2 Let t be 16/3 - 2/(18/3). What is the derivative of -5*u**2 + 7 + 7*u**3 + t*u**2 wrt u? 21*u**2 What is the third derivative of 2631*k**2 - 1439*k**2 - 850*k**3 - 1672*k**2 wrt k? -5100 Suppose 23*t - 26*t = -12. Let j(h) be the second derivative of -3*h + 0 + 0*h**t + 0*h**2 - 1/3*h**3 - 1/20*h**5. What is the second derivative of j(o) wrt o? -6*o Let p be (1/(-1) - -4) + 2. Suppose -4*h + 21 = 5*f, -2*f + 6*f - h = 21. Find the third derivative of s - s + 7*s**p + f*s**2 + 0*s wrt s. 420*s**2 Let d be (1 - 4/3) + (-10)/(-3). Suppose 2*l + 5 = 19. What is the second derivative of 7*q**3 - 2*q**d - 8*q**5 - 5*q**3 - l*q wrt q? -160*q**3 Let x(y) be the first derivative of 317*y**5/5 - 518*y - 510. What is the first derivative of x(d) wrt d? 1268*d**3 Let v(s) be the third derivative of s**7/105 - s**6/60 - 121*s**3/6 + 59*s**2 - 3. What is the first derivative of v(k) wrt k? 8*k**3 - 6*k**2 What is the third derivative of 4 + 31*x**3 - 2 + 17 + 3*x**2 + 2*x**4 wrt x? 48*x + 186 Let h(n) be the second derivative of 103*n**5/20 + 19*n**4/2 + 297*n. Find the third derivative of h(g) wrt g. 618 Let s(i) = i + 1. Let r(y) = 107*y - 150. Let k(j) = -2*r(j) + 2*s(j). Find the first derivative of k(g) wrt g. -212 Let x(k) = 2. Suppose -n = 2*f + 2*f - 3, 5*f - 35 = 5*n. Let m(c) = -c + 1. Let z(a) = n*m(a) + 4*x(a). Differentiate z(l) with respect to l. 5 Let u(h) be the third derivative of 37*h**4/12 - 96*h**3 + 538*h**2. Find the first derivative of u(m) wrt m. 74 Let b(w) = -2*w**2 + 1 + 4*w**2 - 2*w**2 + w**2. Let g(n) = -3*n**2 + 3*n + 3. Let t(q) = -6*b(q) + 2*g(q). Find the second derivative of t(m) wrt m. -24 Let c(w) be the third derivative of 19/210*w**7 + 37*w**2 + 0*w + 1/24*w**4 + 0*w**6 + 0*w**3 + 0 + 0*w**5. What is the second derivative of c(h) wrt h? 228*h**2 Let x(k) be the third derivative of 0*k**4 + 0*k - 23/60*k**5 + 0 - 14*k**2 + 11/60*k**6 + 0*k**3. Find the third derivative of x(g) wrt g. 132 What is the third derivative of -15*x**4 + 26*x**4 + 379*x**2 + 51*x**3 - 8*x**4 + 103*x**2 - 11*x**3 wrt x? 72*x + 240 Let j = 211 + -129. Find the second derivative of -38*a + 153*a**2 - j*a**2 - 76*a**2 wrt a. -10 Differentiate 75*j - 149*j - 262 - 62*j**3 + 74*j - 6*j**3 wrt j. -204*j**2 Let v(l) be the second derivative of -47*l**3/6 - 39*l**2 + 139*l. Find the first derivative of v(i) wrt i. -47 Let x(a) be the third derivative of -1/20*a**5 - 1/24*a**8 + 0 + 8*a**2 + 0*a**4 + 0*a**3 + 0*a**7 + 0*a**6 + 0*a. Find the third derivative of x(g) wrt g. -840*g**2 Let s(f) be the first derivative of -f**5/4 + 3*f**2 - 15*f + 17. Let z(h) be the first derivative of s(h). Find the first derivative of z(x) wrt x. -15*x**2 What is the third derivative of -329*c**2 - 2*c**3 + 67 + 129*c**4 + 2*c**3 + 330*c**2 wrt c? 3096*c Let g(i) be the first derivative of -50*i**3/3 + 37*i**2 - 21. Find the second derivative of g(k) wrt k. -100 Let y(c) be the first derivative of -c**4/4 - 5*c**3/3 - c**2 - 5*c + 4. Let s be y(-5). Find the third derivative of -s*a**3 + 4*a**3 + a**2 - 7*a**3 wrt a. -48 Let v(i) = i - 4*i - 3*i**3 + 4*i**3 - 17 - 6*i. Let d(w) = 2*w + 4. Let m(g) = -9*d(g) - 2*v(g). What is the first derivative of m(s) wrt s? -6*s**2 Let p(f) be the third derivative of -f**6/10 + f**5/15 + f**4/6 + 7*f**3/6 - 17*f**2. Find the second derivative of p(z) wrt z. -72*z + 8 Suppose -3 = -3*a + 2*q, 0 = 6*a - 3*a - 5*q - 12. Let g be ((-12)/8)/(a/18). What is the derivative of -5 - 2*z**2 - 27*z + 0 + g*z wrt z? -4*z Let j = 1 + 2. Let m(p) = -4*p**3 + 2*p**2 + 2*p + 1. Let f be m(-1). What is the second derivative of -5*d**j + 4*d**3 + 3*d**5 + f*d + d**3 wrt d? 60*d**3 Let k(y) be the second derivative of 0*y**3 + 26*y + 0 - 23/2*y**2 + 7/4*y**4. Find the first derivative of k(n) wrt n. 42*n Let n(c) be the first derivative of c**6/3 - 25*c**4 + 259*c**3 - 66. What is the third derivative of n(t) wrt t? 120*t**2 - 600 Let g = -31 + 51. Let m be g/110 + 84/22. Differentiate 0*v**4 + m*v**4 + v**4 - 5 with respect to v. 20*v**3 Let q(h) = h + 20. Let u(k) = -k**2 - 4*k - 5. Let t be u(-6). Let g be q(t). Find the third derivative of 2*d**2 - d**3 - 2*d**3 + 3*d**g - 4*d**6 wrt d. -480*d**3 Let q(a) = 4*a + 30. Let m be q(-7). What is the third derivative of -14*r**5 + 18*r**m - 5*r**2 + 7*r**2 wrt r? -840*r**2 Suppose 0 = -3*v + 4*q + 15, 2*q - 15 - 5 = -4*v. Find the second derivative of 3*b - 2*b + 8*b + 9*b + 2*b**v wrt b. 40*b**3 Let m be ((-12)/36)/(2/(-18)). Let p(z) = 9 + z - 3*z + 4. Let b(s) = -5*s + 26. Let l(x) = m*b(x) - 5*p(x). Differentiate l(r) with respect to r. -5 Let k(r) = r + 5. Let i be k(-5). Let z = 15 - 9. What is the third derivative of -o**z + i*o**2 - 2*o**2 - 3*o**2 + o**2 wrt o? -120*o**3 Let m be (-376)/(-72) - (-4)/(-18). Suppose m*a = -a + 12. Find the second derivative of -11*y - a*y**4 + 2*y**4 - 10*y**5 + 3*y wrt y. -200*y**3 Differentiate -1511*l**4 + 148 + 726*l**4 + 743*l**4 with respect to l. -168*l**3 Let m = 14 - 12. Suppose -v + m + 1 = 0. What is the second derivative of 4*d**v + 2*d - d**3 + 6 - 6 wrt d? 18*d Find the third derivative of 16*r**6 + 4*r**2 - 22*r - 15*r**5 + 17*r**6 + 15*r**5 - 5*r**2 + 3*r**3 wrt r. 3960*r**3 + 18 Suppose 53 = 2*h + 1. Suppose -i + 4*c + h = 0, 0 = i - 0*c + c - 1. What is the third derivative of -3*r**i + 7*r**2 - 2*r**6 - r**2 - 2*r**6 wrt r? -840*r**3 Let h(m) be the second derivative of -5*m**7/42 - 7*m**5/4 + m**3/3 + 7*m**2/2 + 238*m. What is the second derivative of h(u) wrt u? -100*u**3 - 210*u Find the third derivative of -52*v**2 + 88*v**3 - 22*v**2 - 7*v**3 + 120*v**2 wrt v. 486 Let j(h) be the first derivative of 106*h**3/3 + 11*h**2 + 63. What is the second derivative of j(p) wrt p? 212 Let u(d) = 230*d**2 - 157*d. Let g(l) = 691*l**2 - 474*l. Let b(z) = 6*g(z) - 17*u(z). Find the second derivative of b(h) wrt h. 472 Let o(i) = 10*i + 1. Let w be o(1). Suppose 5*d + 1 = w, -d = -s. Find the second derivative of 5*m**4 - 3*m**4 + s*m**4 - m - 5*m**4 wrt m. -12*m**2 Suppose -3*m = -6 - 18. Suppose m = -0*i + 2*i. Find the third derivative of 22*t**i + 9*t**2 - 4*t**2 - 21*t**4 wrt t. 24*t Differentiate 2*n + 3*n - 160*n**2 - 325 + 6 + 127*n**2 with respect to n. -66*n + 5 What is the second derivative of 5*o**2 + 3*o**4 - 2422*o**3 + 2422*o**3 - 23*o wrt o? 36*o**2 + 10 Let n(x) be the first derivative of 3*x**4/4 - 4*x**3/3 - 19*x + 38. Let d(k) = -4*k**3 + 5*k**2 + 18. Let z(m) = -4*d(m) - 5*n(m). Differentiate z(a) wrt a. 3*a**2 Find the third derivative of -661*a**2 + 636*a**4 + 1354*a**2 - 28*a - 696*a**2 wrt a. 15264*a Let a(b) be the third derivative of -97*b**7/105 + 563*b**3/3 - 15*b**2 - b. Differentiate a(m) with respect to m. -776*m**3 Let t be (-2 - 2)*39/(-12). Suppose 3*u = -3*g + u + 22, -u + t = 2*g. What is the second derivative of -8*i + 12*i + i**3 - i**3 + 4*i**g wrt i? 48*i**2 Let p(l) = -32*l**2 + 7*l - 96. Let y(z) = -37*z**2 + 6*z - 96. Let i(w) = -3*p(w) + 4*y(w). Differentiate i(t) wrt t. -104*t + 3 Let n(z) be the third derivative of -7/60*z**5 - 1/15*z**7 + 0 + 0*z**3 + 0*z + 0*z**4 + 0*z**6 + 11*z**2. What is the third derivative of n(b) wrt b? -336*b Suppose -y + q - 3 = -16, 4*q = 5*y - 70. Suppose 4*p - 6*p = -y. What is the first derivative of
{ "pile_set_name": "DM Mathematics" }
- 83, 249*i = -5*c + 244*i + 40 for c. -5 Solve 46 = -13*p - 0*x + 4*x + 58, -2*p + 4*x - 32 = 0 for p. 4 Solve 0*m - 2*x + 2*x = 5*m - 4*x + 21 + 6, 7*x + 14 = 0 for m. -7 Solve 3*w - 9*w - 105*u + 107*u = 414 - 110, 0 = -2*w - u - 98 for w. -50 Solve -6 = -4*o - 9*v + 3, 2*v + 111 = o - 106 + 219 for o. 0 Solve -4*v + u + 52 = 0, 2*u + 0*u + 22916 = 27*v + 22546 for v. 14 Solve -134 = 4*v - 2*i, 839787*v = 839790*v - i + 102 for v. -35 Solve -2*f = 52, 17127 - 17209 = -i + 3*f for i. 4 Solve 0 = 4*f + 2*s - 8, 2*f - 61545 - 61555 = -3*s - 123088 for f. 0 Solve 176 - 43 = 34*n + 50*v + 13*v - 110, -3*n + 2*v + 29 = 0 for n. 9 Solve -5*h + 2*o - 40761 = -40796, 5*o = h - 7 for h. 7 Solve -9857*r = -4*i - 9862*r - 20, -3*i = -r + 15 for i. -5 Solve 0 = 3*d + 114, -204*d + 107*d + 1933 = -i - 148*d for i. 5 Solve -87*r - 315 = f + 467, 0 = 5*r + f + 44 for r. -9 Solve -4*h + 20 = 162*y - 161*y, -9 = -h + 53*y - 4 for h. 5 Solve -4*l + 146 - 170 = o, 5*o = -138*l - 946 for l. -7 Solve 4*w = 5*f + 152, -122*f + 3224*w = 3233*w + 191 for f. -4 Solve 7*t - 5219*u + 5222*u + 1 = 0, t - 233 = 19*u for t. 5 Solve -7*d - h = -9, 63 = 1162908*d - 1162908*d + 7*h for d. 0 Solve -3*g - 4*b + 51 = -0*b, -5*g - 43 = 439*b - 443*b for g. 1 Solve -a = a + 76, -5*a + 1591 - 1783 = 2*o for o. -1 Solve 0 = -12*u - 4*f + 28 + 16, -4*f + 15 = 9*u - 23 for u. 2 Solve 0 = 4*y - 3*y + d + 14, 58*y - 56*y + 5*d - 14 + 90 = 0 for y. 2 Solve 24*a + 27*l - 59 - 17 = -7*l, -3*a + 4*l = -26 for a. 6 Solve 2*h + 9 = -359*q + 354*q, 7 = -h - 5*q for h. -2 Solve 0 = -h + 179899*c - 179912*c - 21, 5*h + 37 = 3*c for h. -8 Solve 4*l = 10*b - 910, 364 = -70249*b + 70253*b - 3*l for b. 91 Solve 6216*v + 86 = -3*r + 6221*v, 8*v = 152 for r. 3 Solve 5*r + 6591*b - 6593*b + 187 = 0, b = 22*r + 815 for r. -37 Solve -59*c + 25*c - 44 = -29*c + o, 308 = -151*c + 5*o for c. -3 Solve 42*f - 5*n + 39 = 37*f - 56, -4*f - 79 = -n for f. -20 Solve 4*p + 9*j - 202 = 0, -5*j + 105 = -388*p + 383*p for p. 1 Solve 20*i - 452 + 47 = 5*c + 15, 3*i = 66 for c. 4 Solve h = -h + 130*i + 12, 21 - 9 + 18 = 5*h + i for h. 6 Solve -2*z = 114*h - 108*h + 19 + 59, 5*h + z = -67 for h. -14 Solve 3*g - 32 = 4*r, 7195*g + 0*r + 4*r = 7194*g for g. 8 Solve -7*l + 4*o = 18*l + 1619 - 215, 2*l + 117 = 5*o for l. -56 Solve 54*g - 141 = 45*g - 4*r, 0 = 5*r + 15 for g. 17 Solve 4*i + 80 = 2714*t - 2713*t, -40 = 12*t + 2*i for t. 0 Solve -6*a + 12 = -3*a, 37*a - 39*a - 216 = 7*q for q. -32 Solve 4 = -4*t, -56 + 24 = -3*u + 23*t - 18 for u. -3 Solve -58*f - k = -53*f - 11, 6*k + 24 + 22 = 2*f + 16 for f. 3 Solve -7*p + 29 = 2*s, 8 = 2*s + 5*p + 15 + 4 - 46 for s. 25 Solve -5*t + m = -3*t + 63, 343 = -12*t - m for t. -29 Solve 4*p = -p - 52*u - 223, 5*u + 19 + 21 - 32 = 4*p for p. -3 Solve 3*u + 4*m + 4 = 2*u, m = -3 - 1 for u. 12 Solve 3*j + 39*v - 897 = -87*v, 3*j - 36 = -3*v for j. 5 Solve 5*f + 1568*k = 1569*k - 5, -14*f + 18*f + 76 = -24*f - 4*k for f. -2 Solve -7*j - 7 = -5*r - 22, 7*r = 302*j - 300*j - 21 for r. -3 Solve -6*u + f = -25 - 112, -5*f - 4 = -81*u + 79*u + 37 for u. 23 Solve -g = -108*x + 115, 3*x + 43*g - 19*g - 23*g = -4 for x. 1 Solve -26*o + 17*p - 21*p + 90 = 8*o, -p - 1 = -o + 5 for o. 3 Solve i = -d + 6, -4*i - 1069 + 1085 = -4*d for i. 5 Solve 5*h = 2*x + 2*h + 23, x - 24 = -4*h - 52 for x. -16 Solve -154*n + l = 14*n - 5547, 2243*n - 144 = 2239*n + 4*l for n. 33 Solve 7*u = 4*a - 163, -2*a - 8446 + 8509 = 15*u for a. 39 Solve 7*x + 4*v - 388 = 0, -7*v + 4*v + 454 = x + 2*v for x. 4 Solve -w - 77*o - 130*o + 283*o + 79 = 128 + 106, -4*o = 2*w - 2 for w. -3 Solve -g + 5*r - 3*r + 8*r - 6 = -0*r, 2 = 2*r for g. 4 Solve 0 = -2*r - 2*k - k - 16, -2*r - 119*k = -114*k + 8 for r. -14 Solve -q - 1749 + 871 + 874 = -2*r, -2*r - 4*q = 36 for r. -2 Solve 2*z + 6*v + 1 - 7 = 0, 1604*v - 11 = 3*z + 1609*v for z. -12 Solve 6*c + w = w + 4*w - 44, 3*w - 29 = 180*c - 176*c for c. -8 Solve 71 = -l + 4*c, -2810*c + 2795*c + 260 = -5*l for l. 5 Solve 140*q + 66 = 145*q + 4*p, -45*q + 47*q - 32 = p - 4*p for q. 10 Solve 134*n - 4*y = -136*n + 264*n + 38, 2*n + 2*y - 9 = 17 for n. 9 Solve -4*l + q = 0, 3*q = -3305832*l + 3305837*l + 7 for l. 1 Solve 4*j + 11 + 68 = 3*z, 98*j - 102*j + 99*z - 376 = 2487 for j. 2 Solve k - 1468 = 3*t - 1482, -5*t + 24 = -2*k for k. -2 Solve 4*p = 2*u + 4 + 1 - 5, 2*u = -22*p + 6*p + 80 for p. 4 Solve -c - 8*q = 27, 19*c - 4*q - q + 1168 = 655 for c. -27 Solve 0 = 7*g - 4*g - 27*r + 81 + 57, -2*g - r - 45 = 85 for g. -64 Solve 2*p = 4*b + 10, 19*b + 489*p + 73 = 490*p for b. -4 Solve 3*f = -i + 11, 4*i - 3237*f - 37 = -3242*f for i. 8 Solve -74661*s - 3*d = -74659*s + 35, 2*d = -5*s - 16 for s. 2 Solve 2*b + b = 2*z + 2*z - 212, 4*z - 276 = -37957*b + 37976*b for b. -4 Solve -o - 857238*g = -857235*g - 16, 0 = 5*o - 5*g + 20 for o. 1 Solve -f = 2*p - 4, 462*p - 202*p = -f + 254*p for f. 6 Solve -2*z + 444 = 20*a, 40*a + 116 = 45*a + 3*z for a. 22 Solve -3 = -c, -x - 5*x - x + 12 = -10*x + 4*c for x. 0 Solve 196 = 4*i - 4*k, -1031 - 264 + 631 = -13*i + 4*k for i. 52 Solve -a + 69 = -4*p, -59*a + 70*a - 2*p = 91 - 4 for a. 5 Solve -4*u = 53*q + 228, -218501*u + 16 = -2*q - 218503*u for q. -4 Solve 129*m + 15*s = 125*m - 139, -4*m + 4*s = -32 for m. -1 Solve -4*o - 838*h = -5*o + 2*o - 866*h + 304, 0 = -4*o - h + 27 for o. 4 Solve v = 3*r + r + 249, 22*r + v - 1 = 22*r - 0*v for r. -62 Solve 6*i - 9*i - 69 = 4*b - 7*b, 144 = 6*b - 4*i for b. 26 Solve -16*d + 2*h = -60, h + 516 = -2*d + 4*d + 486 for d. 0 Solve -152*v - 124 = -147*v - 6*u, -5*u = -3*v - 101 for v. -2 Solve -5*m - 7*w = 60, -5*m - 5 = 181317*w - 181321*w for m. -5 Solve -5*c - 8*s + 30*s = -59, -2*c - 4*s - 23 + 21 = 0 for c. 3 Solve -35*z + 24*z + 7*z - 24 = -4*d, 24 = 14*z - 2*d for z. 3 Solve 8*i + 3*m - 18 = 12*i - 7*i, 36*i - 6*m = 6 for i. 1 Solve 4*p + 5*y = -13, -43*y - 57 = -4*p + 43*y - 77*y for p. 3 Solve 6*n + 4*c = -38, -316*n - 2 = -316*n - 10*c + 11*c for n. -5 Solve -63*p - 78*p + 221*p + 1 = 76*p + 3*d, 4*p + 2*d - 14 = -60 for p. -7 Solve 3*i + 13*w + 199 = 0, 4682*w - 112 = 4689*w for i. 3 Solve 0 = 14497*v - 14500*v + 6, -5*v + 88 = 6*q for q. 13 Solve 5*g - 70 = 4*a, -5*a + 3*g + 508 = 563 for a. -5 Solve -21 = 4*m - 11*k, -5*m - k = k - k + 4*k + 120 for m. -19 Solve 0*j = -3*j - 2*a + 30, 38 + 3 = -j + 5*a for j. 4 Solve 132*i = 5*h + 131*i - 305, -3*h + 183 = -2*i for h. 61 Solve l = -3*a - 2*l + 6, -2*a - 3047 = 14*l - 3075 for a. 0 Solve -33 + 39 = -4*o + 4*o - v, 2*o - 8*v + 8 = -9*v for o. -1 Solve 5*a + 170 = -717*u + 720*u, -4*u - a = 11 for u. 5 Solve 144 = 16*z - 29*r, 10*z + r - 2*r + 36 = 14*z for z. 9 Solve -3*m + 7*m = 3*y + 9, 21 = -69*m + 66*m - 7*y for m. 0 Solve -196925*x - 44 = -196921*x - 4*g, -3*x - 5*g - 73 = 0 for x. -16 Solve -24*g - 34 = -21*g - 5*j - 98, 5*g = 5*j + 60 for g. -2 Solve 0 = -3*n - 24*x - 96, x = -0*n - 3*n - 0 + 19 for n. 8 Solve 21*q + 223 = -4*k, -q - 11 + 3 = -k - 45 for k. -40 Solve 5*p = -8*l - 139, 15*l = -3*p + 2*l + 8*l - 83 for p. -31 Solve -n + 1306*p = 9142, 357 = -5*n + p + 350 for n. 0 Solve -5*p = -4*p + j - 6*j - 23, 5*p - 91730 = -j - 91745 for p. -2 Solve -4*p - 600*b + 604*b = -0*p + 236, -7*b = 4*p - 413 for p. 0 Solve 0 = b + i, 9*i + 21 = -4*b + 24*i - 12*i for b. -3 Solve 186*p - 2*o + 3*o - 14 = 180*p, 11 = 3*p + o for p. 1 Solve 2*z - 928 = -176*o, -36*z = 37*z - 74*z + 5*o - 1 for z. 24 Solve 3*k + 6*o = 7*o + 20, 714*o - 15 = k + 359*o + 359*o for k. 5 Solve 6*c = 4*y - 6, -5*y - 58577 = 5*c - 58597 for c. 1 Solve -2*q - 62 = -42*g, -9*g + 6*q + 50 + 11 = -8*g for g. 1 Solve 7*l + 8 = -4*g + 3*l - 0*l, l - 43 = -140*g + 137*g + 5*l for g. 5 Solve 0 = -3*o + 5*l + 6436 - 6476, 11*o = -l - 108 for o. -10 Solve 2*w - 9 - 46 = 7*w + 6*q, 5*w = 4*q - 55 for w. -11 Solve -l + 6*l + 0*l = 10, -8*s = 2*s + 2*s - 8*s - 4*l for s. 2 Solve -12*z - 16 = 4*h, 78*z + 2*h - 16 = 80*z for z. -3 Solve 853*t - 7*k + 133 = 850*t, -16 = t - 8*k for t. -56 Solve -40 = 2*h + 4*h - 5*i, 15*h - 3*i = -2*i + 164 - 241 for h. -5 Solve 117 = -5575*h + 5570*h - 3*p, -2*p = 4*h + 92 for h. -21 Solve 45 = a + 5*d, -18 = -a + 105520*d - 105522*d for a. 0 Solve h + 2*u + 17 - 12 = 0, 0 = 16*h + u + 1 - 14 for h. 1 Solve -228 = b - 19*t, -16*b = -3*b + 2*t +
{ "pile_set_name": "DM Mathematics" }
lify ((m*m**(-2/3))**40*(((m*(m**4/m)/m)/m)/m)/m*m/m**5)**1 assuming m is positive. m**(28/3) Simplify (((u/(u**2*u))/u)/u**(-8))/(u**(2/41)*u**(1/16)/u*u*u) assuming u is positive. u**(2551/656) Simplify (((i/(i/(i*i*i/i**8*i)*i))/(i*i**(-8)/i))**11)**(-4/23) assuming i is positive. i**(-132/23) Simplify (d**3)**(-8)/(d*d**(6/7))**(-7/3) assuming d is positive. d**(-59/3) Simplify b**(-4/11)/b**(-10)*(b/(b*b/((b/((b*b*b**1)/b*b)*b*b)/b*b)))/b*b**(-2/17) assuming b is positive. b**(1406/187) Simplify (v**20*v*(v*v**16)/v)/((v/(v*v*v**(-8)/v))/(v/(v/((v**(6/13)*v)/v*v)))) assuming v is positive. v**(396/13) Simplify ((((j*j*j**(-3))/j)**(-25))**(-4/27))**3 assuming j is positive. j**(-200/9) Simplify (o**(-3))**(2/17)*(o**(1/19)*o)/o**16 assuming o is positive. o**(-4942/323) Simplify (a**(8/11))**40*a**(-1/4)/a**(-2/11) assuming a is positive. a**(1277/44) Simplify (b**(-2/19)*b**(-1/14))/(((b/(b*b**(-4/7)))/b)/(b*b**(-7)/b)) assuming b is positive. b**(-1795/266) Simplify (g/((g**3*g)/g*g))**36*(g/g**8)/((g*g/(g*g/(g*g/(g*(g**(3/2)/g)/g)*g*g)))/g) assuming g is positive. g**(-235/2) Simplify (d**(-21/5)*d/(d*d/(d*d**4)))/((d*d*d*d**(-8/5))/d*d)**(12/19) assuming d is positive. d**(-103/95) Simplify (((a/a**13)/a*a)/(a**(-2/11)/a))/(a**(-11)/(a*a**(-1/3))) assuming a is positive. a**(28/33) Simplify (((d/(d**(-3)/d))/((d*d*d**(2/7))/d))/(d*d**0)**(-22))**(-3) assuming d is positive. d**(-540/7) Simplify (o**33*o**(-1/29))/(o*o*o**14*o)**(3/50) assuming o is positive. o**(46321/1450) Simplify (f**10)**(-4/11)*f**(-20)/f**(-1/10) assuming f is positive. f**(-2589/110) Simplify (((n**5)**(-2/89))**(5/12))**(31/3) assuming n is positive. n**(-775/1602) Simplify ((l/((l/(l*l**(-30)))/l))**(-1/5))**(-23) assuming l is positive. l**(-644/5) Simplify ((t*t**8)/(t**(3/14)/t))/(t**(-5/8)/((t/((t/(t/(t/t**32)*t))/t))/t)) assuming t is positive. t**(2431/56) Simplify ((w/(w*w**(-9/4)*w))/w)**(-2/7)*((w*w/(w/w**0))/w*w)/(w/(w**(-4)/w)) assuming w is positive. w**(-71/14) Simplify (s**(-4/7))**(-11)*(s*s**(-12))/s**(-1/3) assuming s is positive. s**(-92/21) Simplify (g/g**3)/(g*g/(((g**(-4)/g)/g)/g))*(g/(g**(-2/5)/g))/((g/(g*g*g**(-2/21)*g))/g) assuming g is positive. g**(-598/105) Simplify (((t/(t/(t/((t*(t**(-8)/t)/t)/t))))/t**(-3))**(21/4))**46 assuming t is positive. t**3381 Simplify ((((j**(-18)/j)/j)/j)**(-29))**9 assuming j is positive. j**5481 Simplify ((i**1*i**(-2/19))**(3/19))**(6/13) assuming i is positive. i**(306/4693) Simplify (t/(t/(t**(-4)*t))*t**(-5)*t)/(t**(-2)*t**(-7/4)) assuming t is positive. t**(-13/4) Simplify ((y**(-1/2))**38)**(-3/26) assuming y is positive. y**(57/26) Simplify (s**20*(s*s**14/s)/s)/(s*s**3*s)**(22/7) assuming s is positive. s**(121/7) Simplify (y**(-3)*y*y**5)/(y**(-5)/(y/(y/(y*y/(y/(y/(y/y**13*y*y)))*y)))) assuming y is positive. y**21 Simplify ((((f/(f/(f**(11/4)*f)))/f)/(f/f**(-12)))/(f/f**(-3))**(2/23))**16 assuming f is positive. f**(-3900/23) Simplify (x**(1/14)/(x**(-7)*x))/(x**12/x**3) assuming x is positive. x**(-41/14) Simplify ((t/(t*t/(t**(2/59)*t)))/(t*t**(-39)))/((t/t**(-21))/(t**(38/5)/t)) assuming t is positive. t**(6677/295) Simplify ((n*n/(n**11/n))/n**(-5))**(1/14) assuming n is positive. n**(-3/14) Simplify ((o**(3/5)*o)/o)**(-3/4)/(o**3)**12 assuming o is positive. o**(-729/20) Simplify ((g*g/(g/(g/(g/((g**5/g)/g*g))))*g)/(g/(g**1/g)*g))/((g/((g*(g*g/((g/g**(-1/2))/g))/g)/g))/(g/(g*(g*g**(-6)*g)/g))) assuming g is positive. g**(17/2) Simplify ((d*d**(-26))/d**(-1/30))**(-12/17) assuming d is positive. d**(1498/85) Simplify x/x**(-10)*x**(-4/7)*(x*x**(-1/5)*x)/x*(x*x**(3/4)*x*x)/x*x assuming x is positive. x**(2097/140) Simplify (q**(1/5))**(-29)/(q**4)**(25/4) assuming q is positive. q**(-154/5) Simplify ((y/y**(1/3)*y*y**(2/17)/y*y)/(y**(-1)*y)**46)**(-20) assuming y is positive. y**(-1820/51) Simplify ((a/a**(-2)*a**(-6))/(a**(-11)/(a/((a*a/(a/a**(-7)))/a)*a)))**(1/34) assuming a is positive. sqrt(a) Simplify (d**(-11/3)*d*d*d*d*d/(d/d**(-3/7))*d)/(d/(d**(1/8)*d)*d**(-7)) assuming d is positive. d**(1349/168) Simplify ((t/t**(-1/50))/(t*(t**(-3/22)/t)/t*t*t))**10 assuming t is positive. t**(86/55) Simplify (g/((g*g**6*g)/g))**(2/179)/((g/((((g**(24/7)*g)/g)/g)/g))/(g**(-2/35)*g)) assuming g is positive. g**(8172/6265) Simplify (((q**0)**50)**(-10))**34 assuming q is positive. 1 Simplify ((n**(-1))**(-3/8)/(n**(4/3)*n*n**3/n*n))**12 assuming n is positive. n**(-119/2) Simplify (((b**(2/5)*b)/(b*(b/b**11*b)/b))/(b**(-2))**12)**(-19/4) assuming b is positive. b**(-817/5) Simplify ((((v*v**0)/v)**7)**(3/28))**(-25) assuming v is positive. 1 Simplify ((l*l*l**(-1)*l)/l**(-1/5)*l**(-4/9)*l/(l*l**8))**(-40) assuming l is positive. l**(2248/9) Simplify (((q**(-1))**44)**(-2/123))**(3/4) assuming q is positive. q**(22/41) Simplify (v**(-2/11))**37/((v/(v**(4/3)/v))/v**(1/11)) assuming v is positive. v**(-241/33) Simplify (j/j**(-4)*j*j*j**19)**(-34) assuming j is positive. j**(-884) Simplify ((b**3)**(19/3))**(-1/10) assuming b is positive. b**(-19/10) Simplify (s*s**(-3/7)*s)**(-2/71)*(s**(-12)/s)**49 assuming s is positive. s**(-316611/497) Simplify ((u**(1/4))**(-3/32)/((u*u*u**(-5)*u*u)/u**(1/4)))**(-12/5) assuming u is positive. u**(-471/160) Simplify (i**(2/5))**(-23/4)*i**(-1/3)/(i*i**(-1/4)) assuming i is positive. i**(-203/60) Simplify ((((c**(-2/5)*c)/c)**(4/7))**(-45))**(-1/4) assuming c is positive. c**(-18/7) Simplify x*x*x**(-16)*x**(12/5)*((x/x**(10/9))/x*x)/((x/((x/(x*x*x**(-2/45)*x))/x))/x) assuming x is positive. x**(-44/3) Simplify (n*n/(n*n*(n**(2/13)*n)/n)*n)**(2/7)*n**(1/19)/(n*n**(-6/13)) assuming n is positive. n**(-422/1729) Simplify (u*u*u*u**(1/7)*u**(-11))/(((u*u*u**(-5))/u)/(u**(-9)*u)) assuming u is positive. u**(-83/7) Simplify (r**(3/4))**44*(r/(r**(-1/12)*r))/((((r*r**(-2/23)*r)/r*r)/r)/r) assuming r is positive. r**(9155/276) Simplify j**(5/3)*j*j*j/j**(-10)*(j**1/j)**(3/13) assuming j is positive. j**(44/3) Simplify (i**3)**(1/23)/((i/(i*i/i**(-2/17)))/i**(-5)) assuming i is positive. i**(-1467/391) Simplify (v*v**(-1/7)*v)/v*v*v/((v/(v**2/v)*v)/v*v)*((v/(v**(3/2)*v*v*v))/v)**(-2/61) assuming v is positive. v**(856/427) Simplify (s/s**(2/3)*(s/s**6)/s)/(s**(-3/4)*s*s/(s/s**(12/11))) assuming s is positive. s**(-925/132) Simplify (b*(b/(b**(-7/4)*b))/b)**(-45)/(b*b**(-12)/b*b*b**(-25)*b) assuming b is positive. b**(-175/4) Simplify (u**(-3/5))**(-1/8)/((u/u**(-6/5))/u*u**(-2/35)) assuming u is positive. u**(-299/280) Simplify (h**(-2/9)*h*h*h/(h**(-4/5)/h)*h**2*h/(h*h*h*h/h**1))**26 assuming h is positive. h**(5356/45) Simplify (b/(b/(b*b**2)))**(-1/60)/(b*(b*(b/b**(-2/3))/b)/b*b**(-5/8)) assuming b is positive. b**(-131/120) Simplify l**(-34)*l*l**(-4/11)/l*l*l**(-3/5)*(l*l*l**(1/61)*l*l*l)/l assuming l is positive. l**(-100473/3355) Simplify (w**(2/19)*w*w**(1/3)/w)/((w/(w/(w*w/w**(-1/12)))*w)/(w*w**(-2))) assuming w is positive. w**(-277/76) Simplify (r**12*r*r*r**(-2))/(r**(1/4)/(r*r*(r/(r*r/r**(-3/5)))/r)) assuming r is positive. r**(223/20) Simplify ((h**0)**(-13)*h**(1/5)*h**8/h*h*h)**5 assuming h is positive. h**46 Simplify (s**9*s*s**(-3/23))/((s/(s*s**(-9/5)))/(s/(s*s*(s/s**(6/25)*s)/s*s))) assuming s is positive. s**(3053/575) Simplify (r**9/r**(-1/9)*(r**4*r*r)**(-5/8))**(-5/14) assuming r is positive. r**(-965/504) Simplify (z**(-1/4)/(z**(-2/7)/z)*(z**(2/3)/z*z*z)/(z/(z*(z**(3/7)*z)/z)))**25 assuming z is positive. z**(6575/84) Simplify ((z*z*z/z**(-2/19))/z)/(z/((z/((z/(z**17*z)*z)/z))/z*z))*z**(1/24)/z*z/z**(2/47) assuming z is positive. z**(409445/21432) Simplify ((a/((a*a*a/(a*a**(-15/7)))/a))/a*a/(((a/((a/((a**(-30)*a)/a))/a))/a)/a))**27 assuming a is positive. a**(5454/7) Simplify (a**(4/17)*a*a**(1/11))/(((a*a**(-36))/a)/a**(-16)) assuming a is positive. a**(3988/187) Simplify (((r**3)**(9/2))**0)**(-3/16) assuming r is positive. 1 Simplify (w/(w/w**10*w))**42*w**(1/8)*w/((w/(w**(-2/19)*w))/w) assuming w is positive. w**(57763/152) Simplify ((o/(o*o**(-5)))/o*o)**22/(o**(3/8)/o)**(-6/37) assuming o is positive. o**(16265/148) Simplify ((p**(6/29))**(-9))**16 assuming p is positive. p**(-864/29) Simplify ((x*x**(3/8)*x*x)/x)**(21/4)*(x**3)**(-23) assuming x is positive. x**(-1809/32) Simplify (p/(p**(-4/19)*p))/(p*p**(-27))*(p*p**(2/27)/p*p)/
{ "pile_set_name": "DM Mathematics" }
en 3 is divided by 3*w*1/p? 0 Suppose -4*t + 284 = -11*g + 8*g, 206 = 3*t - 4*g. What is the remainder when t is divided by 8? 2 Suppose 11*c = 3*c. Suppose c = 4*l - 16 - 12. Let j = 12 + -1. What is the remainder when j is divided by l? 4 Calculate the remainder when 354 is divided by -2*246/(-12) + 4. 39 Let s(p) = -p**3 + 7*p**2 - p + 44. What is the remainder when 180 is divided by s(7)? 32 Suppose -4 = -y + 2*g, 57 = 2*y + y + 3*g. Suppose 124 = 4*j + 20. Calculate the remainder when j is divided by y. 12 Suppose r - 217 - 22 = c, 5*c = r - 239. What is the remainder when r is divided by 60? 59 Let k(w) = -w**3 - 12*w**2 - 15*w - 26. Calculate the remainder when ((-214)/(-16))/((-32)/(-256)) is divided by k(-11). 17 Let s(l) = l**2 + 27*l + 78. Calculate the remainder when 34 is divided by s(-3). 4 Let l = -3 + 15. Let q = l - 7. Suppose 130 = q*a - 3*s, s - 28 = -a + 6. Calculate the remainder when a is divided by 15. 14 What is the remainder when (-21)/63 - 436/(-3) is divided by 30? 25 Calculate the remainder when 827 is divided by ((-6)/4)/((-87)/232). 3 Let b(g) = -3 + g**2 - 2 - 19*g + 10 - 6. Calculate the remainder when b(20) is divided by 7. 5 Let p = -2 + -7. Let w be (-2)/5*(p - 1). Suppose -4 = -j - 4*l, 26 + 2 = 3*j + w*l. What is the remainder when 34 is divided by j? 10 Let k(n) = -n**3 + 7*n**2 - 3*n + 1. Suppose -4*z + 10 = 3*a, z + 15 + 11 = 4*a. Calculate the remainder when 53 is divided by k(a). 15 Suppose f + 0*f = 4. Suppose 4*q = 4*y + 68, 0*q + 120 = 5*q + 2*y. Calculate the remainder when q is divided by f. 2 Suppose 3*o + 14*u - 10*u - 683 = 0, 2*o - 458 = -4*u. Calculate the remainder when o is divided by 50. 25 Let h = 93 + -78. What is the remainder when 194 is divided by h? 14 Suppose -u + 662 = -5*q + 8*q, 0 = 4*u + 16. Calculate the remainder when q is divided by 59. 45 Let j = 5 - 3. Suppose 10 = q - z - 5, j*z - 40 = -5*q. What is the remainder when q is divided by 7? 3 Let a = -589 + 711. Calculate the remainder when 342 is divided by a. 98 Suppose -27*w + 2011 = -608. What is the remainder when 123 is divided by w? 26 Let s = 2201 + -2150. What is the remainder when s is divided by 18? 15 Suppose 411 = -7*b + 4*b. Let w = -38 - b. Let j = -38 + 63. What is the remainder when w is divided by j? 24 Let f = 73 + -61. What is the remainder when 30 is divided by f? 6 Let z(s) = -21*s - 147. Calculate the remainder when z(-17) is divided by 54. 48 Let b = 272 - 99. Let c = 8 - -14. Calculate the remainder when b is divided by c. 19 Suppose 0 = 5*y - 3*x - 1166, 155*x = -2*y + 160*x + 455. What is the remainder when y is divided by 60? 55 Let m = 7 + 1. Let l = 30 - m. Calculate the remainder when l is divided by (-25)/10*64/(-20). 6 Let s(r) = -8*r - 36. Let a be s(-6). Suppose -a*u + 2727 = 879. What is the remainder when u is divided by 40? 34 Suppose 84*n = 79*n + 1910. What is the remainder when n is divided by 96? 94 Suppose 3*y + 5*m = 54, 2*m + 6 = -y + 23. Suppose 30 = 8*v - 3*v. Calculate the remainder when y is divided by v. 5 Let c = -14 + 41. Let p be (0 - 0) + -12 + -3. Let d = p + c. What is the remainder when d is divided by 5? 2 Suppose -5*m + 24 = 4. Suppose 190 = 5*o - v - m*v, o + v = 38. What is the remainder when o is divided by 8? 6 Let a(r) = -r**3 - 8*r**2 - 10*r - 12. Let k be a(-7). Suppose 5*b = 79 - k. Calculate the remainder when b is divided by 3. 2 Let d(r) = -2*r**2 + 18*r - 17. Let o = -22 + 29. Calculate the remainder when d(o) is divided by 3. 2 Calculate the remainder when (40/(-15))/(50/(-15))*55 is divided by 36. 8 Suppose d + 5*r = -0 - 21, -5*r = -2*d - 42. Calculate the remainder when ((-276)/d)/((-10)/(-35)) is divided by 7. 4 Suppose 24*p + 246 = 30*p. Calculate the remainder when 161 is divided by p. 38 Suppose 2*u - w = 3*w + 22, -4*u + 44 = w. Suppose 0*n - 23 = -3*n - 2*d, 4*d - 16 = 0. Calculate the remainder when u is divided by n. 1 Suppose 5*w = -2*q + 67, -5*q + 5*w + 113 = 33. Suppose -26*u = -q*u - 50. What is the remainder when 25 is divided by u? 5 Suppose 19*p - 1760 - 45 = 0. Calculate the remainder when 375 is divided by p. 90 Suppose -225 + 21 = -3*h. What is the remainder when h is divided by 38? 30 Suppose -2*q = -5*q + 30. Suppose g + g + 12 = 0. Calculate the remainder when 226/q - g/15 is divided by 6. 5 Let l = -142 - -70. Suppose -v + 0*v = 4*h - 29, -2*h = -2*v + 78. Calculate the remainder when v is divided by 61/3 + l/54. 18 Let u(b) = -b**3 + 4*b**2 - 5. Let i be u(3). Suppose -4*z - z - 25 = 0, i*z = 3*d - 116. Calculate the remainder when d is divided by 4. 0 Let p = -7 - -7. Suppose -4*q = -j - 0 + 8, 2*j + 4*q - 16 = p. Suppose -3*k + 62 = j. What is the remainder when 69 is divided by k? 15 Let o(n) = -3*n**2 + n + 2. Let s be o(2). Suppose 4*d - 3*a = 149, 3*d = -d + 5*a + 155. Calculate the remainder when d is divided by s/6*(-45)/5. 11 Let y(j) = j**2 + 4*j - 5. Let s(k) = -1 - k + 2*k + 0*k - 2*k. Let z(o) = 2*s(o) - y(o). Calculate the remainder when 3 is divided by z(-6). 0 Suppose -2*d - 3 = l, -6*l + l - 15 = 5*d. Suppose d = 13*u - u - 84. What is the remainder when 25 is divided by u? 4 Let v = 453 + -320. What is the remainder when v is divided by 35? 28 Calculate the remainder when 387 is divided by (3303/81 - 6/(-27)) + -2. 36 Let o = 2125 - 1024. What is the remainder when o is divided by 23? 20 Let b(p) = p**3 + 6*p**2 + 2*p - 10. Let l be b(-4). Let a = 45 - l. Calculate the remainder when 91 is divided by a. 29 Suppose 4*d + 157 = 5*v, 46 = v - 5*d + 2. Let q = 0 + 55. Calculate the remainder when q is divided by v. 26 Let q(p) = -p**2 - p + 15. Suppose 3*s + m - 4*m = -12, -3*m = -12. Calculate the remainder when 88 is divided by q(s). 13 Calculate the remainder when (-72)/30*310/(-4) is divided by 39. 30 What is the remainder when 5/15 - 2994/(-9) is divided by 42? 39 Let v(i) = -8*i - 1. Let p(m) = m**3 - 4*m**2 - 5*m - 2. Let g be p(5). Calculate the remainder when 72 is divided by v(g). 12 Suppose 46 = 2*l - 5*q, 3*q + 115 = l + 4*l. What is the remainder when 39*(1742/780 - (-1)/10) is divided by l? 22 Suppose -4*k - 5*d + 304 = -181, -5*k + 3*d + 560 = 0. Calculate the remainder when k is divided by 58. 57 Let w = -307 - -349. Calculate the remainder when 209 is divided by w. 41 Calculate the remainder when 200 is divided by 107*2*(-16)/(-32). 93 Calculate the remainder when 767 is divided by (-40)/(-12)*(-4 + 7). 7 Suppose 0 = -5*w + 15 + 10. Suppose w*p - 42 = 3. Calculate the remainder when (-10)/(-15) - 86/(-6) is divided by p. 6 Let z(j) = -76*j**3 + 4. Let w be z(-3). Suppose q = 5*x - 691, -6*q + 3*q = 2*x + w. What is the remainder when 6/(-36) - q/12 is divided by 29? 28 Let x(h) = -100*h - 1360. What is the remainder when 72 is divided by x(-14)? 32 Let i(j) = j + 16. Let p(m) = -27*m. What is the remainder when p(-1) is divided by i(-6)? 7 Let f(g) = -g**2 + 6*g - 43. Let i(v) = 2*v**2 - 13*v + 85. Let x(r) = 11*f(r) + 6*i(r). What is the remainder when 133 is divided by x(10)? 14 Let n = -104 + 151. What is the remainder when 328 is divided by n? 46 What is the remainder when 222 is divided by 24/44 + (-3264)/(-66)? 22 Let u be ((-8)/(-2))/(-1 - 1 - -4). Suppose -2*w + 0*o + 30 = -u*o, -3*o = 0. Calculate the remainder when 192 is divided by w. 12 Let b = -12 + 17. Suppose -d = -f - 5, 0 = b*d - f - 9. Let v(q) = 37*q**3 + q**2 + q - 1. What is the remainder when v(d) is divided by 20? 18 Suppose -s - 3*s + 20 = 0. Suppose s*i = -5*v + 60, 5*i - 2*v - 10 = 3*v. What is the remainder when 23 is divided by i? 2 Suppose 0 = 6*j - 2*j - 36. Let h be j*18 + 4/2. What is the remainder when h/12 - (-4)/12 is divided by 8? 6 Let i = 33 - 58. Let w = 46 + i. Suppose 5*a = -h + w, -7*h + 2*a = -3*h - 62. Calculate the remainder when 61 is divided by h. 13 Suppose 0 = -84*b + 4385 + 1747. What is the remainder when b is divided by 50? 23 Let o(s) = -11*s**2 - 16*s + 32. Let q(n) = 4*n**2 + 5*n - 11. Let x(v) = 3*o(v) + 8*q(v). What is the remainder when 14 is divided by x(-8)? 6 Let f = 6 - -3. Let z be (19 - f) + -1 + -3. Let o(k) = k**2 + 3*k + 4. Calculate the remainder when o(z) is divided by 15. 13 Suppose 0 = -2*o + 3 + 33. Suppose -2*t + 224 = 28. Suppose t = -5*r + 448. What is the remainder when
{ "pile_set_name": "DM Mathematics" }
7? (a) 4 (b) 3 (c) -1/3 (d) 0.1 a Which is the closest to 2/7? (a) 159 (b) -4 (c) -86 (d) -5/4 (e) -6 d What is the nearest to -2/2115 in -2/11, 0.05, 3/5? 0.05 What is the nearest to 4 in -0.1, 11, 0.02898? 0.02898 Which is the closest to 2? (a) -3 (b) 1 (c) 0.2 (d) -0.5 (e) 3/20 b Which is the nearest to 0? (a) -1 (b) -20 (c) 0.0425 (d) -0.5 c Which is the closest to 1/6? (a) -191/2 (b) -0.1 (c) 81/7 b Which is the nearest to -1? (a) 0.3 (b) 27/4 (c) 945 (d) -2/7 (e) -4 d Which is the nearest to -3/14? (a) -3.9 (b) -0.5 (c) -14 (d) -3/2 b Which is the nearest to -2/5? (a) -5 (b) -1/7 (c) -312 (d) -0.14 b What is the nearest to 1 in -413, 0, 30.7? 0 Which is the closest to -2? (a) 0.2 (b) 91 (c) 4/67 c Which is the nearest to 0? (a) -4 (b) -8 (c) 12238.5 a What is the nearest to -7 in 0, -10, -87? -10 Which is the nearest to -1? (a) -1/3 (b) -0.4 (c) 4/17 (d) -8 b Which is the closest to 3? (a) -12604 (b) -2/3 (c) 0.01 c What is the nearest to 1/2 in -6379, 0.1, -25? 0.1 What is the nearest to 0.7 in 0.5, -2.38, -183? 0.5 What is the closest to 0 in 2/5, -0.1, 606, 6, -3? -0.1 Which is the nearest to 0? (a) 2/3 (b) 3 (c) 0.1 (d) 4.12 c What is the nearest to -1 in -1/3, 3, 0, 342, 2/3? -1/3 Which is the closest to 41? (a) 0.3 (b) 6/11 (c) 0.1 (d) 3 (e) -3/8 d Which is the closest to 1/3? (a) 2/7 (b) -1 (c) -1333 (d) -5 (e) -2 a What is the nearest to -93 in -2, -1/4, -3/7? -2 Which is the nearest to -0.1? (a) 1 (b) -1/3 (c) -0.15 (d) 0.0261 c What is the closest to 0.6 in 0.4, -0.285, -68? 0.4 Which is the closest to -1/2? (a) -160 (b) 5/2 (c) -26 b What is the nearest to 1 in -13/8, 0.1, 0.2, -0.1, -9? 0.2 Which is the nearest to 0.1? (a) 1085 (b) 1 (c) -0.1 c What is the closest to -1 in -1/7, 0.1, 1/64, 5/99? -1/7 What is the nearest to -1/4 in 0.3, -13, 6/373, -5? 6/373 Which is the nearest to 74? (a) -2 (b) 3 (c) -7 b Which is the nearest to -1? (a) 3 (b) 4 (c) 1 (d) 664 c Which is the closest to -962? (a) -11 (b) -2/13 (c) -0.2 (d) -0.1 a Which is the closest to 48? (a) 2 (b) -19 (c) -4 (d) -0.3 (e) -0.4 a What is the closest to -0.1 in -2/11, -2/7, -0.181, 0.1, 0.3? -0.181 Which is the nearest to 6? (a) 2903 (b) -1 (c) -1/7 (d) -3 c What is the closest to -52.8 in 2/19, 14, -3/5? -3/5 What is the nearest to 2/47 in -3, -2/299, -2/19? -2/299 Which is the nearest to 4/7? (a) 1/5 (b) -3 (c) -8 (d) -0.07 a What is the nearest to -3/4 in 2, -4987.3, 0.1? 0.1 What is the closest to 0.1 in 3/2, -5, 31, 13, 3? 3/2 Which is the closest to 2/3? (a) 4 (b) 0.7 (c) 0.1794 b Which is the nearest to 4? (a) 0.02 (b) -2/13 (c) 82 a Which is the nearest to 0.2? (a) 11/3 (b) 4 (c) -20/13 c What is the nearest to 0 in -3, 1, 4/3, -0.1, -10? -0.1 Which is the nearest to -0.1? (a) -47.46 (b) 1/10 (c) 1/6 (d) -1/8 (e) 1/4 d Which is the closest to -2/19? (a) 9 (b) -4 (c) 1/7 (d) 3 c What is the closest to -6/11 in -2, 1, 0.1, 0.68, 8? 0.1 Which is the closest to 1? (a) -128 (b) 0.008 (c) -0.05 b What is the nearest to -8 in 0.05, 0.19, 2? 0.05 What is the closest to 0.28 in 7, -1/5, 0, -10? 0 Which is the nearest to -17? (a) 0 (b) 21.2 (c) -2/5 c What is the closest to 7/10 in 5, -2/7, -5, -1/5, -1? -1/5 What is the closest to -2/9 in -3, -14/29, -5, 0.04, 4? -14/29 Which is the nearest to 2/9? (a) -0.4 (b) 44 (c) -2.3 (d) 1 a Which is the nearest to 0? (a) 3/14 (b) 120 (c) -2/15 (d) -2 (e) 4/7 c Which is the nearest to -2? (a) -4/3 (b) -14 (c) -9/50 a Which is the nearest to 1/4? (a) -8 (b) 2/7 (c) -2 (d) 1/13 b Which is the nearest to 1? (a) 225 (b) -4/9 (c) -1 b Which is the closest to 0.0644? (a) 0.7 (b) 0.5 (c) -8 b Which is the nearest to 7? (a) -8 (b) 0.3 (c) -3 b What is the closest to -1 in -2/7, 1/7, -2.7575? -2/7 What is the nearest to -11/2 in 5/7, 2/21, -3, -2? -3 What is the closest to -5/4 in -0.3, -0.2, -9, -2246? -0.3 Which is the closest to -67? (a) 1 (b) 2/11 (c) -62 (d) 0.4 c Which is the nearest to 26? (a) 0.672 (b) 8 (c) -0.3 b Which is the closest to 5? (a) -20355 (b) -0.3 (c) -3/8 b What is the nearest to 1 in -5, 0, -3, 157? 0 What is the closest to -49137 in 3, 0.2, 3/8? 0.2 What is the nearest to -2/5 in 1515, 2, -137? 2 Which is the nearest to 206.6? (a) -8 (b) 2/11 (c) 0 (d) 4 (e) -2/3 d Which is the nearest to -4? (a) 1/4 (b) -3 (c) 0.04 (d) -208 b What is the closest to -1 in 2, -328, -3, 87? -3 Which is the nearest to 0.1? (a) -14/19 (b) 20/17 (c) 0.8 c What is the closest to 1 in 81, -41, -2/5, 0.1? 0.1 Which is the closest to -0.1? (a) 2/7 (b) -230/9 (c) 1 (d) 2/3 a Which is the nearest to -0.1? (a) -3/5 (b) -11 (c) 10 (d) -23 (e) -3/2 a Which is the closest to 0.1? (a) -24 (b) 1 (c) 0 (d) 0.04 (e) -18 d Which is the closest to 2/13? (a) 0.16 (b) 0.17 (c) -5 (d) -2/17 (e) 4/3 a What is the nearest to 1/4 in -1.659, 5, -1/7, 2, 0? 0 Which is the nearest to -12461? (a) 4/3 (b) 3 (c) -1/5 (d) -2/7 (e) 4 d What is the nearest to 2/3 in 1/2, 2, -0.16, -4, 0.23? 1/2 Which is the closest to -17? (a) -1 (b) -1.399 (c) -5 c What is the closest to 14 in 0.3, 0.04, 4? 4 Which is the closest to 0? (a) 0.1 (b) -68 (c) -35.9 a Which is the closest to 0? (a) 0.073 (b) 82 (c) 2 a What is the nearest to 0 in 1/2, 14018, -2, -0.1? -0.1 Which is the nearest to -14? (a) 44 (b) 0.5 (c) 1 b Which is the closest to 118? (a) -0.1 (b) -2/11 (c) -5/22 a What is the closest to -360 in 5, 4, 0.16? 0.16 What is the nearest to 246 in -5, 2/57, -2/9, -1/5? 2/57 Which is the closest to 3/2? (a) -5 (b) -1/27 (c) -1/7 (d) -3/4 (e) 2/5 e Which is the nearest to -617? (a) 1 (b) -2/3 (c) -2 (d) 5 c Which is the closest to 0.01? (a) -1.5 (b) 535 (c) -0.5 (d) -2/3 c Which is the nearest to -1? (a) 4/3 (b) -5 (c) -0.1 (d) 27 c Which is the closest to -47? (a) -39 (b) 2 (c) -4 (d) 0.2 (e) -6 a What is the nearest to -1/2 in 1/7, -16/3, 4.06, -3/8, 1? -3/8 Which is the nearest to 0.01? (a) -4 (b) 27.6 (c) 1 (d) -0.3 d Which is the nearest to 1/4? (a) -2 (b) -2/11 (c) -1695/46 b Which is the closest to 0? (a) -1/7871 (b) 0.1 (c) -2/3 a Which is the closest to 83? (a) -0.3 (b) 0.3 (c) -9 b Which is the nearest to 2/31? (a) -2/11 (b) 3 (c) -0.5 (d) 5 (e) -6/19 a What is the closest to 2 in -1/3, -5, 0.1, -2/73, -1/83? 0.1 What is the nearest to -32 in -1/2, 5, 0.5, 0.07? -1/2 What is the nearest to 20 in 0.5, 6, -109/5? 6 Which is the nearest to -80? (a) -0.02 (b) -1/2 (c) 17 (d) 3 (e) 2 b What is the closest to 2/75 in 4, -0.01, 1, -0.5, 11? -0.01 What is the closest to -1/3 in 1, -183, -0.7? -0.7 What is the closest to 0.2 in 2, 3, -2/5, -42, 89/3? -2/5 What is the closest to 1/4 in 1, 1053, 3/7, -3.7? 3/7 Which is the closest to 0.03? (a) -2 (b) -4 (c) -3 (d) -2/15 (e) -0.04 e Which is the closest to 0? (a) 0.5 (b) -0.01 (c) -35705 b Which is the nearest to 9/2? (a) 0.03 (b) -4 (c) 77 a Which is the closest to 114? (a) 373 (b) 1/5 (c) -1/2 b Which is the closest to -3? (a) -0.4 (b) 215 (c) 0.3 (d) -1/2 (e) -10 d Which is the nearest to -8? (a) -2 (b) -2/5 (c) -15/44 (d) 22 a Which is the closest to 1? (a) -107 (b) -2 (c) 13 (d) 3/2 (e) -1 d Which is the closest to 486/7? (a) -0.029 (b) 2/3 (c) -2/11 b What is the nearest to -2619 in 1/8, 1, -5, -4? -5 Which is the closest to -2/3? (a) -3/2 (b) -2/9 (c) -172 (d) 4 (e) 0.5 b Which is the nearest to 3? (a) -0.4 (b) -6 (c) 1/3 (d) -3 c What is the nearest to -56/9 in 3, -3/122, 2? -3/122 What is the closest to 165 in 1/3, 1/37, -5, 4? 4 Which is the closest to -1? (a) 5 (b) -641 (c) -4 (d) -0.1 (e) -2/19 e What is the closest to -2/577 in 97, 0.4, 1/2? 0.4 Which is the closest to 2/21? (a) -23 (b) 116 (c) 5/2 c Which is the closest to -0.1? (a) 3 (b) -5.81 (c) -4 (d) -5 a What is the nearest to 13/12 in -1/8, -33, -2/3? -1/8 Which is the closest to 4? (a) 16 (b) -2 (c) -2.1 (d) -13 (e) -4 b What is the nearest to 4 in -0.045, -2/3, 3, 3/2, 2? 3 What is the nearest to 41 in -5, -0.4, -5.6? -0.4 What is the nearest to -2/3 in -0.06, -1, -1435, 0.1? -1 What is the closest to -1 in 97, 1, -11, 12? 1 Which is the close
{ "pile_set_name": "DM Mathematics" }
44 = 2*h. What are the prime factors of s? 2, 5 Suppose -266 = -13*p + 6*p. What are the prime factors of p? 2, 19 Let b be 2/(6/3*-1). What are the prime factors of 2 + 15 - (4 + b)? 2, 7 Let i be -2 + 0 - (-3 + -38). Let k = i + -24. What are the prime factors of k? 3, 5 Suppose o = 3*o - 178. List the prime factors of o. 89 Let p(c) = 3*c - 8. Let u be p(7). Let k = 21 - u. List the prime factors of k. 2 Let y = 8 + -13. Let u = y + 12. List the prime factors of u. 7 Let a be (2/(-4))/(3/(-6)). Suppose -2*j - j = 4*l - 1, 0 = 3*l - 4*j - 7. Let v = l + a. List the prime factors of v. 2 Let d = 5 - 7. Let b(c) = -c**2 - c + 2. Let h be b(d). Suppose 0 = -h*x + 2*x - 22. What are the prime factors of x? 11 Suppose 0 = -5*i - 0*i + z - 46, 4*z = 5*i + 49. List the prime factors of (-39)/i - 1/3. 2 Suppose 13 + 7 = -5*s. List the prime factors of (-1 + -3)/(s/14). 2, 7 Let u be (6/(-4))/(9/(-12)). Suppose 5*n = -2*i + 25, n - 2*i = u*i + 5. List the prime factors of n. 5 Suppose a + 4 = -1. List the prime factors of 2/(-4)*(-25 - a). 2, 5 List the prime factors of 416/((-5)/(-20)*8). 2, 13 Let q(n) = 9*n + 7. Let c(t) = -5*t - 3. Let j(f) = -7*c(f) - 4*q(f). Suppose 11 + 1 = -z. List the prime factors of j(z). 5 What are the prime factors of 71 - ((-4)/1)/(-1)? 67 Suppose -98 - 32 = -5*b. Let z = b - 17. Let r(u) = u**2 - 9*u + 5. What are the prime factors of r(z)? 5 Let v = 19 + 3. List the prime factors of v. 2, 11 Suppose -10 + 205 = 5*x - 5*b, -4*x + 5*b = -158. What are the prime factors of x? 37 Let q(u) = -u**3 + 2*u**2 - 3*u - 6. List the prime factors of q(-4). 2, 3, 17 Let i = 33 - 58. Let x = 35 + i. List the prime factors of x. 2, 5 List the prime factors of 55 - (4 + 2)/(-2). 2, 29 Let z(s) = -s - 4. Let w be z(-9). Let x = 7 - w. Suppose -2*c - k = -9, 4*k + 15 = x*c - k. List the prime factors of c. 5 Let o = 2 - 1. Let j = 1 + o. Let v = j - -2. What are the prime factors of v? 2 Suppose 0 = 4*y - 11 - 25. Suppose -18 - y = -3*w. Suppose -k = -w - 7. What are the prime factors of k? 2 Suppose 4*r - 2*r = -8. Let b = 3 - r. List the prime factors of b. 7 Let u = -9 - -14. Let p(x) = 3*x - 7. What are the prime factors of p(u)? 2 Let s = 15 + -14. Let q(v) = 10*v + 1. List the prime factors of q(s). 11 Let f(p) = p**2 - 2*p - 6. Let w(k) = k**3 - 2*k**2 + 3*k - 1. Let m be w(2). List the prime factors of f(m). 3 Let m(z) = z**2 - z - 1. Let y be -3 - 0 - (-1 + 2). Let f = y - -1. What are the prime factors of m(f)? 11 Suppose 4*x = 3*x - 3. Let w = 5 + x. List the prime factors of w. 2 Let m = -3 - -3. Let d be 12/(-9)*3/(-2). Let i = d + m. What are the prime factors of i? 2 Suppose 5*f = 7*f - 76. List the prime factors of f. 2, 19 Let h(y) = 3*y**3 + 2*y**2 + 5*y - 4. List the prime factors of h(3). 2, 5, 11 Let j(s) = -s**3 + 9*s**2 - 10*s - 1. List the prime factors of j(7). 3 Let f(d) = -d**2 + 7*d - 5. Suppose -11 = -2*t - 1. Let o be f(t). Suppose 0 = 5*l - 2*c - o - 60, -l = -4*c - 13. What are the prime factors of l? 13 Let l = -50 + 118. List the prime factors of l. 2, 17 Let d(i) = 2 - 2*i**2 + 3*i**2 - 8*i - 2*i**2. Suppose 2*z + r + 2*r - 5 = 0, 2*z + 15 = r. What are the prime factors of d(z)? 17 Let d(i) = i**3 - 5*i**2 + 2. Let m be 0/((-3)/(-3)) - -5. Let f be d(m). Suppose 0 = b - f*b + 7. List the prime factors of b. 7 Let b = -2 + 2. Let k be ((-4)/(-4))/(-1 + b). What are the prime factors of 2/(k - 1) + 11? 2, 5 Let l = -29 + 15. Let h = 18 + l. List the prime factors of h. 2 Let o(y) = -y**2 + 4*y - 2. Let b be o(2). Suppose 4*d - 64 = -2*g, 2*g - b*d - 52 = -0*d. List the prime factors of g. 2, 7 Let s(d) = -d**2 - 5 - 12*d + 2*d - 1. Let q be s(-9). Let r(u) = -u**2 + 5*u - 1. List the prime factors of r(q). 5 Suppose -29*f + 430 = -24*f. List the prime factors of f. 2, 43 Let z = -1 - -3. Suppose -3*t = 3*y, -3*y + y = -z*t. What are the prime factors of -2 + 13 - (-1 - t)? 2, 3 Suppose -5*j = -j - 8. Let l(q) = 4*q - 6. Let t be l(-6). What are the prime factors of (t/(-3) - j) + -2? 2, 3 Suppose 0 = -5*r + 15 - 0. Suppose -4 = 2*p - 5*k - 5, -2*k - 46 = r*p. List the prime factors of (p/18)/(2/(-12)). 2 Suppose -4*j - 9 = -49. List the prime factors of j. 2, 5 Let p(x) = -x**3 - 8*x**2 - 9*x - 9. What are the prime factors of p(-7)? 5 Suppose 0 = -2*v + 14 + 158. Suppose -5*a + 3*a + v = 0. What are the prime factors of a? 43 Suppose 0 = -4*v + 3 + 5, 2*q - 106 = v. List the prime factors of q. 2, 3 Let r(y) = 6*y**3 + 2*y**2 - y + 1. List the prime factors of r(2). 5, 11 Suppose 0 = 8*j - 4*j - 108. What are the prime factors of j? 3 Suppose 114 = -3*k + 8*k + 3*t, -2*k - 2*t = -48. Suppose -w = -4*w + k. What are the prime factors of w? 7 Suppose -2*m = -5*n - 5, 4*m = -3*n + 17 + 6. What are the prime factors of 48 - 12/(2 - m)? 2, 13 Let x = 2 + 1. Suppose x*g = -2*g. What are the prime factors of g + (-2)/1 + 16? 2, 7 Suppose 0 = 2*s + 3*g - 1, -1 = 2*g + 1. Suppose s*r + 31 = 4*p - 9, 4*r = -p + 28. List the prime factors of p. 2, 3 List the prime factors of (-178)/(-3) + 16/24. 2, 3, 5 Suppose -5*p + x + 56 = -x, 2*x + 36 = 3*p. List the prime factors of p. 2, 5 Let x be 1 + 3/6*2. Let t be -1*x*10*-1. Suppose p = 3*p - t. What are the prime factors of p? 2, 5 Suppose 0*t - 4*d - 8 = 4*t, 0 = 4*t + 5*d + 9. Let n be (-88)/(-4) + (t - 1). Suppose -5*o + 3*z = -68, 5*z + 0 = n. List the prime factors of o. 2 Let r = -21 - -44. List the prime factors of r. 23 Suppose -2*s + 51 = -o, 4*s + 5*o = -7 + 130. What are the prime factors of s? 3 Suppose l + 4*l - 29 = 3*x, -3 = 3*l + 5*x. Suppose 33 = -a + l*a. List the prime factors of a. 11 What are the prime factors of -4 + 3/((-3)/(-55))? 3, 17 Let u = -46 - -33. Let q = u - -21. What are the prime factors of q? 2 Suppose -4*h = 4*j - 692, 10*j - 9*j + 4*h = 185. What are the prime factors of j? 13 Let q = 58 + -35. List the prime factors of q. 23 Suppose t = b + 2, 2*t + 2*t = 0. What are the prime factors of 1*(2 + b) + 5? 5 Suppose 5*v - 15 = -0*v. List the prime factors of v. 3 What are the prime factors of (-3)/2*(3 - (-550)/(-6))? 7, 19 Let j(x) = x**2 - 1. Let n(u) = 5*u**2 + 4*u - 3. Let v(d) = -4*j(d) + n(d). Let y be v(-3). List the prime factors of 1/(-2)*(y - 2). 2 Let g = 49 + -9. Let f be (2 + -2)/(-1) + g. Let o = f - 26. List the prime factors of o. 2, 7 Let m = 47 - 34. List the prime factors of m. 13 Suppose 5*r - 5*q - 96 + 26 = 0, 5*r - 68 = 3*q. Suppose -2*n + r = -3*j, -3*j + 80 = 4*n + 27. What are the prime factors of n? 11 Let l = -10 - -10. Let o = 3 + l. Suppose -2*y = -0*b - 4*b - 30, -44 = -2*y - o*b. What are the prime factors of y? 19 Let m be (2/(-3))/(2/3). What are the prime factors of 1*46/2 - m? 2, 3 Let y be -1 - (-2 + 6)/(-1). Suppose y*f + 5*s - 25 = 0, -f + 14 = -0*f - 4*s. List the prime factors of f. 2, 5 Let z = 26 + -42. Let v = -5 - z. What are the prime factors of v? 11 Let p = 66 + -27. Suppose 2*n + 3*t + 52 = 0, n + t = 2*n + 26. Let o = p + n. List the prime factors of o. 13 Suppose 0*y - 8 = -2*y, o + 3*y = 56. What are the prime factors of o? 2, 11 Suppose 0 - 8 = -2*h. List the prime factors of h. 2 Suppose -3*g + 2 = -4. Suppose -6 - 8 = -g*s. List the prime factors of s. 7 Let u(t) = t**3 + t**2 + 4*t. What are the prime factors of u(5)? 2, 5, 17 Let g(v) = -v**2 - 5*v + 1. Let t be g(-5). Let z = 1 + t. Suppose -2*y - 2 = -2*n, -z = n + 5*y - 27. List the prime factors of n. 5 What are the prime factors of 12*(-4 + 80/12)? 2 Suppose 9*r - 10 = 4*r, 3*h + 3*r - 312 = 0. What are the prime factors of h? 2, 3, 17 Suppose -3*w = -f - 0 + 19, -2*w - 22 = 4*f. Let b(h) = -h**2 - 11*h - 6. What are the prime factors of b(w)? 2, 11 Suppose 6 = a + 7. Let t = 23 - a. List the prime factors of t. 2, 3 Suppose 8*q + 320 = 13*q. List the prime factors of q. 2 Let l(z) = 6*z. List the prime factors of l(7). 2, 3, 7 Let a = 7 + -13. Let u be 0 + a*(-1)/2. Suppose 1 = u*x + 5*q + 20, -q = 5. What are the prime factors of x? 2 List the prime factors of (-2 + 3)*((-87)/(-3) + -1). 2, 7 Suppose g + 108 = 3*g. Suppose 2*c + c = g. What are the prime factors of 5/25 - c/(-10)? 2 Let p(h) = h**2 + 5*h - 1. List the prime factors of p(-9). 5, 7 Suppose 0*m - 70 = -5*k - 2*m, 4*m - 68 = -4*k. List the prime facto
{ "pile_set_name": "DM Mathematics" }
3 Let f(z) = z**2 + 3*z - 2. Let l(y) = -3*y**2 - 6*y + 3. Let v(o) = -5*f(o) - 2*l(o). Let b be v(3). Solve -3*j + b*h = -6*j + 8, 4*j + 3*h = 13 for j. 4 Suppose 0 = 4*d + 5*d + 45. Let b(h) = h**3 + 4*h**2 - 7*h - 8. Let s be b(d). Solve -5*i + 8*u = 3*u - 20, -15 = -s*i - 5*u for i. 5 Suppose 0 = 4*g - 4 - 0. Suppose -3*s = g - 7. Suppose s*p = p + 6. Solve -5*c + 2*x = -3, 0*c - 2*c - x = p for c. -1 Let x be 2/(10/12 + (-12)/36). Solve w = u, 5*w - 7*u + 4*u = x for w. 2 Let s be 2 + (-2 + 1)*1. Let g be 5 + 2 + (-2 - s). Let k be (-38)/(-4) - (-5)/(-10). Solve 11 + k = -f + 4*c, 2*f + g*c - 8 = 0 for f. -4 Let t(x) = -30 - 28*x + 34*x + 97. Let w be t(-9). Solve 2*p + 2 = -4*o, 0*o = -4*o - 5*p + w for o. -3 Suppose 0 = -58*h + 57*h + 13. Solve -n - j = -2, 4*n = 9*n + 4*j - h for n. 5 Let v = -1100 + 1100. Let m(i) = 3*i - 4. Let j be m(4). Solve 3*q + j = 5*p - v, 0 = 5*q + 4*p + 1 for q. -1 Let m(j) = j**3 + 5*j**2 + j + 10. Let h be m(-5). Suppose -7*v = -h*v - 6. Solve 27 = 3*q + 5*w, v*q + 2*w = 6*q - 6 for q. 4 Suppose -4*l = -2*j - 10, -9 - 4 = -4*l + j. Solve -9*f + 8*f = m - 9, 0 = l*f - 20 for m. 4 Suppose -2*m + 14 = 5*r, 4*r - m = 9*r - 12. Solve -r*t + 9 = n, 3*t + 5*n = 5*t - 3 for t. 4 Let t = -49 - -55. Suppose t*k = 8*k - 8. Solve 0 = -z + k*g - 17, -3*g - 2*g + 25 = -5*z for z. -1 Suppose 9*f + 171 - 414 = 0. Solve -5*q + k - 2*k - 15 = 0, 3*q + f = 3*k for q. -4 Let g(n) = -n**3 + 2*n**2 + 5*n + 2. Let y be g(3). Let k be (0 + -12)*(-2)/y. Solve -19 = -5*b + d + d, 1 = 2*b - k*d for b. 5 Suppose 29*g - 189 = -44. Solve -g*l + l = -3*p + 5, 5*p - 3*l - 12 = 0 for p. 3 Let w = -23 + 26. Solve -w*v = -0*f + f - 9, 2*v - 23 = 5*f for v. 4 Suppose -u + 5 = -0. Suppose 20 = 5*s + 2*t, 4*s + t - 13 = -0*t. Solve -s*y - 3 = 5*f - 0, -2*f - 7 = -u*y for f. -1 Suppose -p = -0*p - 2. Suppose -3 = p*h - 7. Suppose 2*s - s - 5 = 5*x, -s + 5 = -h*x. Solve -4*c + q = 11, -2*c - 18 = s*q - 7 for c. -3 Suppose 4*i - 6 = 18. Suppose -d + i = -15. Let k be 51/d + (-9)/21. Solve -3*m - 18 = -w, -k*m + 5*w - 27 = -2 for m. -5 Let o(g) = g**3 - g**2 + 2*g - 2*g**3 + 5 + 7*g**2 - 3*g. Let y be o(6). Let x be y/(-4) - 22/(-8). Solve 0 = 3*m - 3, 5*m = x*r - 8*r for r. -1 Let i be (5/2)/(1/(-2)). Let q = i + 8. Let p be 2/2*(24 - 19). Solve q*s = -f - 10, p = -5*s - 4*f - 7 for s. -4 Suppose -j - 25*v - 2 = -30*v, 5*v + 4 = 3*j. Solve -4*t + 2 = l - 21, 0 = -j*t + 5*l for t. 5 Let d be ((-4)/(-5))/((-6)/(-405)). Let g = 68 - d. Solve -4*x = -4*u - 4, x = -2*u - g + 3 for u. -4 Suppose -5*i - 4 = -29. Let w be -3 - (3*-5)/i. Solve w = -2*s + 4*b - 14, 0 = 3*s - 0*s + b - 7 for s. 1 Suppose -h + 0*h + 30 = -2*q, -14 = -h - 2*q. Suppose 0 = n + b - 22, n - h = -2*b - 2*b. Solve -o - 4*d - n = o, 0 = -o + d - 2 for o. -5 Let j = -7 - -10. Let x(i) = i**3 - 10*i**2 + i - 6. Let k be x(10). Solve 0 = 3*n + 3*w - j, k = n + 4*w - 2*w for n. -2 Let p(r) = -4*r**2 - 4*r - 2. Let w be p(-2). Let m be (-4)/(-10) - (-4)/w. Let h = 4 - m. Solve -3*c = 3, 3*c - 4 = -h*s + 1 for s. 2 Let b(g) = -g**3 + 12*g**2 + 67*g - 38. Let n be b(16). Solve r + n + 0 = l, -4*l = -5*r - 45 for l. 5 Suppose -138*q + 146*q = 16. Let b be 1 + 2/(2*-1). Let w = b - -3. Solve 2*v = 4*z + 1 - w, 3*v + q*z = 13 for v. 3 Suppose 20 = 4*q + 5*i, 0 = 3*i - 0 - 12. Solve s = 3*y - 5, -3*y - s + 3*s + 1 = q for y. 3 Let b be ((-2)/(-3) - -2) + 86/(-129). Solve 5*o + b = -3*w - 4, -4*o + 3*w = 21 for o. -3 Suppose -8*k + 408 = -56. Let o = -54 + k. Solve -1 = 3*l + 4*m, 5*m = o*l - 0*l - 40 for l. 5 Let w(n) = 11*n**3 + n**2 + 3*n + 1. Let s be w(-1). Let o(y) = y**2 + 12*y + 2. Let v be o(s). Solve v*j = 4*q - 10, 0 = 2*j + j - 9 for q. 4 Suppose 0 = 1023*r - 1022*r - 5. Solve -8 = -s + 5*s - g, r*s - g + 11 = 0 for s. -3 Let h(c) = c**2 - 16*c + 52. Let p be h(12). Suppose 0 = 3*m - 6, p*r = 3*r + m + 13. Solve -3*z - 2*n - 15 = n, 0 = z - 4*n - r for z. -1 Suppose -1585 = -4*w - 1573. Solve 0 = b + w*u - 7, 4*b + 5*u - u = 4 for b. -2 Let y(x) = -x**3 - x**2 + 4*x. Let w be y(-3). Let l(h) = -h**2 + 19*h - 29. Let k = 187 - 170. Let n be l(k). Solve -12 = -4*a, 0 = 3*d + n*a - w for d. -3 Let l(b) = b - 10. Let k be l(8). Let i be k/7 + (-144)/(-14). Solve 0 = 3*m - p - i - 6, -p = 4*m - 12 for m. 4 Let k = 35 + -35. Suppose 0 = -y + 3 - k. Solve -g - 5*n + 12 = 0, -2*g + 6*g - y*n = 2 for g. 2 Let q be (1/(4/18))/((-4)/(-16)). Suppose 0*h + c + q = h, -3*h - 4*c = -75. Solve h = 5*r + o, -3*r = -o - 3*o - 31 for r. 5 Let j(a) = a**3 + 8*a**2 + 8*a + 7. Suppose -4*u = 3*g + 13, 5*u = -6*g + g - 10. Let n be j(u). Let d = 311 - 308. Solve -4*r = -3*o - d, 3*r - 4*r = n for o. -1 Suppose -15 = 4*r - 43. Suppose 3*w + b - r = 0, -2*w + 4*b + 21 = 7. Solve -2*f + f - 3*t - 11 = 0, -f = -4*t - w for f. -5 Suppose 27*o + 4 = 29*o. Solve 0 = 5*r + 20, -3*v + 3*r + 8 = -o*r for v. -4 Suppose i = 3*i - 4. Suppose -i*y - 3*y + 70 = 0. Let a = y + -12. Solve -s + 1 = 5*x, 0 = a*s + 2*x + 1 + 5 for s. -4 Let g = 1 - -25. Suppose 5*j + 36 = 8*j. Suppose 2*o = 5*o - j. Solve -5*y + 4*m + 17 = 2*m, 2*y - g = -o*m for y. 5 Let k = -109 + 11. Let q = k - -98. Solve 0 = w + 5*t - 21, q = 7*w - 2*w - 4*t + 11 for w. 1 Let w(u) = u**2 + 5*u + 9. Suppose 3*n + 28 = 16. Let l be w(n). Solve 2*s + 3*i - 13 = -2*i, -l*s - 17 = -4*i for s. -1 Suppose 3 = -x + 2*z, -2*x - 3*x + 4*z - 3 = 0. Suppose 4*r + s = 106, 3*r - x = s + 75. Solve 4*o - r = 2*y, 0*y = -2*y + o - 14 for y. -5 Let r(o) = o**2 + 15*o + 29. Let t be r(-13). Let m(j) = j - 3. Let k be m(t). Solve 0*f + f - 2 = 2*s, k = 4*f - 3*s - 13 for f. 4 Let q be 16/(-56) + (-5)/7. Let a be (1 + -15)*q/1. Let t = -5 + a. Solve -5*h = -3*v + 41 - t, -4*h - 12 = v for h. -4 Suppose -13*q = -58 + 6. Solve -q = -4*y + 4*t, -4*t - 31 = -3*y - 8*t for y. 5 Let t(s) = 2*s**3 - 52*s**2 - s + 32. Let z be t(26). Solve -z*m + 2*m + 5 = 3*c, -5*c - 3*m = -1 for c. -1 Let t = 14 - 12. Let j be 1 - (0 + 0)*(-6)/(-12). Solve -2*v - 2 = -p + j, 2*p = -t*v for v. -1 Let f = -2213 - -2215. Solve -3*z + 3*l = f - 23, 2*l - 6 = -3*z for z. 4 Suppose 4*o - 10*p = -12*p + 70, -5*o - 2*p + 85 = 0. Let z be ((-2)/(-3))/(5 - 73/o). Solve 4*y - 19 = -0*h - h, 5*h = -z*y + 35 for y. 4 Let p(o) = -o**3 + 7*o**2 - 5*o - 3. Let l be p(6). Let x be (-435)/(-261)*18/(-5)*(-2)/3. Solve 21 = -l*h - s + x*s, 3*h + 2*s + 6 = 0 for h. -4 Let i(y) = -y**3 - 7*y**2 + 9*y + 12. Suppose 0 = 3*z - 58 - 62. Suppose 4*f + z = -f. Let t be i(f). Solve -3*g = -a + 5, -4*a - 21 - 7 = t*g for g. -3 Let n be ((-1)/(-2))/((-1)/(-6)). Suppose n*i - 78 = -2*b - b, 5*i = 5. Solve -5*u = b, 4*q - 34 = 2*u - 8 for q. 4 Suppose 6*j = 137 + 61. Let q = j + -22. Solve 5*c - 7 = -3*v + v, v - q = -5*c for c. 3 Let k(z) = z - 4. Let g(i) = -i + 33. Let m be g(21). Let s be k(m). Solve s = -4*p + 4*v, -4 = -2*v - 10 for p. -5 Let i(n) = 31*n**2 + 2*n - 1. Let a be i(2). Let p = a - 82. Let j = 75 - p. Solve -2*y = 5*u - j, 4*y - u = -2*u + 24 for y. 5 Let v = -1 + 10. Let n = 17 - v. Suppose 0 = -3*c - c - c. Solve -10 = 3*d - 8*d - 3*j, c = 3*d - j + n for d. -1 Suppose 4*k + 2*q - 20 = 0, 8*q - 4*q - 5 = -k. Suppose 2*v + 0*y + 3 = -y, y + 7 = 2*v. Suppose 7 = 2*w - v. Solve k*o - 30 = -w*i, -2*o + o = -3*i + 13 for o. 2 Suppose 25 = 6*a + 13. Solve 0*z - 4*z - 15 = -s, -2*z - a*s = 10 for z. -4 Suppose -5*c = -2*a - 6, -5*c = -a + 6*a - 55. Suppose f - 5*f + 4*v + 12 = 0, 5*v = -f - 27. Let h = 3 - f. Solve 4*b = -2*k + k + 3, -h*k + 2*b = a for k. -1 Suppose -3*a = -4*x + 12, -5*a = -10*a + x - 3. Let c be (-2)/2 + (-8)/(-1). Suppose -t = -a*t - c. Solve 2*v + 5*s - t = 0, -5*v + 0*s - 14 = 2*s for v. -4 Suppose 7 = 3*k + 2*g, -5*k - 3*g + 2*g = -14. Let w = -3 + k. Solve -4*m - 3*f = -w*f - 13, 18 = 3*m + 5*f for m. 1 Let d be -5 + 1 + 15/5. Let w = 5 + d. Solve -w*z - 12 = -4*v, 3*z + 4*v - 26 = -0*z for z. 2 Suppose -3*f - 4*g = -4*f + 11, -f + 20 = 5*g. Let y be 48/(-40)*f/(-2). Solve 0*n - y = -4*z + n, 3*z + 12 = -3*n for z. 1 Suppose -6*z + p = -7*z + 18, 0 = -2*z + 3*p + 36. Solve 2*v - 12 = 5*x + z, -2*v = 3*x + 2 for x. -4 Suppose -3*m + o + 42 + 21 = 0, 3*o = 5*m - 109. Suppose 4*g = -g + m. Solve l + 5*z = 3*z - 5, 0 = -g*l + 5*z - 7 for l. -3 Let h = 617 + -611. Solve h*g - 3*a = 2*g -
{ "pile_set_name": "DM Mathematics" }
*t = p - 11, 5*p - 5*t + 3 = -t. Let u = 2 + p. What is the hundreds digit of ((-9)/u)/((-6)/350)? 1 Let p(c) = -c**3 - 10*c**2 + 11*c - 5. Let r be p(-11). What is the hundreds digit of 3/(-2)*r*1908/54? 2 Let f be ((-5528)/(-22))/4 - 14/(-77). Suppose -g + 1573 = p - f, -p - 2 = 0. What is the tens digit of g? 3 Let f(l) be the second derivative of 9*l**4/4 + 5*l**3/6 + 11*l**2 + 28*l. What is the hundreds digit of f(-4)? 4 Let w = 11 - 8. Suppose -2*p - w*p = 0. Suppose -l = -5*m - 48, -3*m + p*m - 68 = -2*l. What is the units digit of l? 8 Let t(a) = -6856*a + 10*a**2 - 5*a**2 + 6832*a + 71. What is the tens digit of t(-13)? 2 Let w(l) = -605*l - 152. What is the tens digit of w(-7)? 8 Suppose 150*n - 60170 = 128*n. What is the thousands digit of n? 2 Suppose 203316 - 39885 - 219 = 21*h. What is the units digit of h? 2 Suppose -14 = 5*y + 16. Let h(m) = -m**3 - 6*m**2 - 13*m - 1. Let i be h(y). Let g = 144 - i. What is the units digit of g? 7 Let a be ((-2)/(-2))/(4 - (-60)/(-16)). What is the tens digit of 124/2 + a*27/(-36)? 5 Suppose p + 5*x = 26, 0 = -5*p + 2*p + x + 14. Let u be 100/(-8)*7/((-105)/p). Suppose 0 = u*m - m + a - 1167, -4*a - 899 = -3*m. What is the units digit of m? 3 Let o(b) = -38*b**3 - 2*b**2 + b - 2. Let j be o(-2). Suppose p + 17*k - 50 = 20*k, k + j = 5*p. What is the units digit of p? 9 Let t(x) = -x**3 - 33*x**2 - 62*x - 24. Let f be t(-31). What is the hundreds digit of (-3952)/f + 4/(-6)? 1 Let k = -17 - -22. Suppose 3*p - 5*z - 2 = -3, 5 = -k*z. Let u(a) = -64*a + 2. What is the tens digit of u(p)? 3 Let c(t) = t**3 + 7*t**2 + 3*t - 12. Let l be c(-6). Suppose -l*z + 90 = -4*z. Let n = z + -15. What is the tens digit of n? 3 Let t(w) = -10*w + 44. Let s be t(6). Let f = s + 16. Suppose -407 = -3*p - 5*o, f*o = -5*p - 4*o + 661. What is the units digit of p? 9 Let h be 1 + 0*2/(-4). Let q = -481 + 476. What is the units digit of -87*q/(h - -14)? 9 Let y(b) = 231*b - 1934. What is the thousands digit of y(22)? 3 Let h(t) = t**3 - 12*t**2 - 36*t - 18. Suppose 38*w - 42*w + 60 = 0. Let z be h(w). Suppose 0 = 7*x + 2*x - z. What is the tens digit of x? 1 Let a(r) = r**2 + 15*r + 58. Let p be a(-9). Suppose 0 = 2*c + 4 - p. Suppose c = -11*g + 727 + 98. What is the tens digit of g? 7 Suppose -4*v + 354*h - 358*h + 50800 = 0, 5*v = h + 63536. What is the tens digit of v? 0 Suppose -6*j - 27 = -81. Let y = -7 + j. What is the tens digit of 76*y/(-20)*-5? 3 Let w(o) be the second derivative of -1/4*o**4 + 3*o**2 - 9*o + 11/6*o**3 + 0 + 1/20*o**5. What is the units digit of w(5)? 1 Let b(f) = -46*f**3 - 13*f**2 - 10*f + 53. What is the hundreds digit of b(-5)? 5 Suppose -873*h = -668*h - 3495250. What is the units digit of h? 0 Let g = -12229 - -20753. What is the tens digit of g? 2 Let t be -170 - ((-16)/(-2) - 4)/(-2). Let f = 144 - t. What is the tens digit of f? 1 Suppose -4 = -4*i - 2*u, -2*i + 5*u = i - 29. Suppose 0 = -i*f - 2*d + 547, 8*d - 178 = -f + 3*d. Suppose 0 = 12*m - 1641 - f. What is the tens digit of m? 5 Let i(x) = 353*x**2 + 402*x + 2435. What is the ten thousands digit of i(-6)? 1 Let w(b) = -b**2 + 8*b + 6532. What is the units digit of w(0)? 2 Let j(q) be the third derivative of 7*q**6/120 - q**5/60 + q**4/12 - 5*q**3/6 + 2*q**2 + 1. What is the tens digit of j(2)? 5 Let r = -264 - -276. Suppose 35*u - r*u - 18722 = 0. What is the tens digit of u? 1 Let f be 5*((-1)/2)/(50/(-60)). Suppose 19*l - 20*l - 227 = -f*b, -b - 2*l = -78. What is the units digit of b? 6 Let d be ((-68)/(-2))/(6/3). Suppose 4 = 7*o - d. Suppose y = 4*y - 6, -o*i - y + 8 = 0. What is the units digit of i? 2 Suppose 4 = -3*v + 7*v - n, -4*v = 2*n + 8. Suppose 0 = -7*d - 9*d + 112. What is the units digit of -3 + v - (-148 - d)? 2 Let m be 2/(9 + (-105)/12). Suppose -7668 = -m*q + 3868. What is the hundreds digit of q? 4 What is the thousands digit of (-68)/170 - 31094/(-10)? 3 Let y(g) = 13*g + 2451. What is the hundreds digit of y(16)? 6 Let h = 10490 - -8452. What is the ten thousands digit of h? 1 Let i(v) = 6*v**2 - 2*v + 2. Let a be i(1). Suppose -a*u + 7079 - 425 = 0. What is the thousands digit of u? 1 Let v = 70136 - 40289. What is the hundreds digit of v? 8 Let b be (-5 - -6)/(1 - (-1116)/(-1119)). Suppose -c + 1 - 2 = 0, 3*f + 5*c - b = 0. Let q = -68 + f. What is the tens digit of q? 5 Let w = 11702 + -7538. What is the hundreds digit of w? 1 What is the ten thousands digit of -2 + (0 - -37803) - 18*38/(-342)? 3 Let w be 512/48 + (-2)/3. Let u = w + -8. What is the units digit of ((-8 + u)/3)/((-6)/249)? 3 Let b be (10/(-8))/((-4)/256). Let u be (-6464)/192 - (12/9 + -2). Let a = b + u. What is the tens digit of a? 4 Suppose 0 = 164*s - 368035 - 55789 + 60400. What is the tens digit of s? 1 Let n(u) = 22*u**2 + u + 6. Let s be n(2). Suppose -j - 3*j = i + 112, s = -4*j - 5*i. Let d = 47 - j. What is the tens digit of d? 7 Let b = -5 + 36. Let p = b + 701. Suppose 2*h - 4*q + 416 = 5*h, 5*h - p = 3*q. What is the hundreds digit of h? 1 Suppose 0 = -4*s - i + 18762, -s - 43*i + 4697 = -46*i. What is the units digit of s? 1 Let j = 1984 - -240. What is the hundreds digit of j? 2 Let i = -26 + 28. Suppose -15 = 5*w - i*r - 53, 0 = -2*w - 5*r - 8. What is the tens digit of (801/w)/(6/8)? 7 Suppose -13*w - 10 = -36. Let x be (1 + -9 - -7) + 8/w. Suppose 5*u = m + 1, 0 = 2*m + x*u - 6*u - 19. What is the tens digit of m? 1 Let l = 9110 + -1165. What is the units digit of l/10 - (-5)/2? 7 Suppose -3*n + 872 = 5*y, 4*n + 5*y - 1096 = 60. Suppose -291*b + 4697 = -n*b. What is the hundreds digit of b? 6 Let s(p) = -9*p - 103. Suppose -2*n - 26 = 3*t + 17, t = n + 14. What is the units digit of s(n)? 0 Let p(q) = -9*q**2 - 8*q + 37. Let m be p(4). Let n = m + 222. What is the units digit of n? 3 Let b be 8/(-20) + -2 + 10776/15. Let g = -321 + b. What is the units digit of g? 5 Let f(u) = 2*u**2 + 41*u + 49. Let l be f(-20). Suppose 104 - l = 25*p. What is the units digit of p? 3 Suppose -5*a - 2768 = -0*a - 3*y, -4*a - 3*y = 2209. Let f = -407 - a. What is the units digit of f? 6 Suppose -5*h + 3*v = -111, v = h - 1 - 22. Suppose -7*p = 84 - h. Let a(i) = -i**3 - 7*i**2 + 11*i + 7. What is the units digit of a(p)? 0 Let y = 61845 - -7122. What is the thousands digit of y? 8 Suppose 9*x + 15*x = 22080. What is the hundreds digit of 63/5*x/69? 1 Suppose 106*d + 36070 = 611226. What is the units digit of d? 6 What is the tens digit of -35*76/(-133) + 7383? 0 Let t(x) = -34*x. Let z = -13 - -17. Let n be t(z). Let r = n + 196. What is the units digit of r? 0 Let t(f) = 5*f**3 + 4*f. Let v be t(-2). What is the units digit of (-8)/(-2) + 935 + v? 1 Suppose 6*j = 2*j - 31824. What is the units digit of (1/(-2))/(17/j)? 4 Suppose -l + 5*l - 1360 = 0. Let c be ((-3)/6*(-19)/(-38))/((-1)/8). Suppose c*h = 3*k + 170, -3*k - k = -4*h + l. What is the units digit of h? 5 Let d be (-6)/(-4)*8*10/(-15). What is the tens digit of (4060/d)/(-7)*(28 + -16)? 7 Suppose 22*u - 21*u = -5*d + 68427, 6 = 3*u. What is the thousands digit of d? 3 Suppose -p = -4*s - 2051 - 1690, -2*p - 2*s + 7432 = 0. Let z = p - 2098. What is the units digit of z? 3 Suppose -52*w - 214545 = -817381. What is the ten thousands digit of w? 1 Suppose 2*s - 3 = -11, -5*n = 3*s + 17. What is the tens digit of 295 + 3 + n + -6? 9 Let u = -670 - -673. Suppose 0 = -v - u*b + 352, 14*b - 16*b - 1478 = -4*v. What is the hundreds digit of v? 3 Let x = 598 - 593. What is the thousands digit of x/((-25)/(-3448))*5/2? 1 Let h = 3498 - 849. What is the units digit of h? 9 Suppose 211915 = 29*y - 31547 - 276653. What is the units digit of y? 5 Let w = 321 - 315. What is the units digit of -5 + 4 - (w + -885)? 8 Let t(a) = -a**3 + 113*a + 1399. What is the units digit of t(-35)? 9 Suppose -5*s - o + 19442 = 0, 3*s - 357*o = -353*o + 11679. What is the hundreds digit of s? 8 Suppose 16*c = 12*c - 24. What is the units digit of 4 - ((-19180)/56 + c/4)? 8 Suppose -424*c = -8325834 - 7716206. What is the tens digit of c? 3 Let b be 6/(-4 + 1)*-2. Suppose -b*u - 4*h - 16 = 0, -9 = u - h - 1. What is the units digit of (1 + 0 - 4) + (42 - u)? 5 Let w be (64/(-48))/((-2)/63). Let b = w + -37. Suppose 0*l = b*l - 170. What is the units digit of l? 4 Let s(t) = 1033*t**2 - 54*t**2 - 8
{ "pile_set_name": "DM Mathematics" }
01 rounded to two decimal places? -6 Round -0.002620922 to 4 decimal places. -0.0026 What is -15.41027 rounded to the nearest ten? -20 Round 11417.1261 to the nearest 100. 11400 What is 135.3483 rounded to the nearest 10? 140 What is -39.36001 rounded to zero decimal places? -39 What is 146475320 rounded to the nearest 1000000? 146000000 What is 109969.6 rounded to the nearest one hundred? 110000 What is -6.87929 rounded to two dps? -6.88 What is -0.00010140036 rounded to 7 dps? -0.0001014 What is -2.9289 rounded to two dps? -2.93 What is 1416.36 rounded to 0 dps? 1416 Round -0.0023783176 to six decimal places. -0.002378 Round 74283.4 to the nearest one hundred. 74300 Round 0.0000112744 to seven decimal places. 0.0000113 What is -4.07093 rounded to 2 decimal places? -4.07 What is 0.056493 rounded to two decimal places? 0.06 What is -567.595 rounded to zero dps? -568 What is 89994.9 rounded to the nearest 10000? 90000 What is 0.0269868 rounded to 2 decimal places? 0.03 What is -0.0000345845 rounded to four dps? 0 Round 94616.42 to the nearest one hundred. 94600 Round -5.993864 to 2 dps. -5.99 What is -9709.795 rounded to the nearest ten? -9710 Round 0.000005976025 to 6 decimal places. 0.000006 What is -28290860 rounded to the nearest 100000? -28300000 Round -46599.6 to the nearest 1000. -47000 Round -29951.6 to the nearest 100. -30000 What is 4679.2271 rounded to the nearest 10? 4680 What is 15086321 rounded to the nearest 100000? 15100000 What is -0.00541973 rounded to 3 decimal places? -0.005 Round 0.078287 to three dps. 0.078 Round -193.034 to the nearest 10. -190 Round 294.724 to the nearest 100. 300 What is -14235390 rounded to the nearest 10000? -14240000 What is 2790241000 rounded to the nearest one million? 2790000000 What is 89.953 rounded to the nearest ten? 90 What is 107283.46 rounded to the nearest 1000? 107000 What is -2.419 rounded to two dps? -2.42 Round -0.00035607 to 5 dps. -0.00036 Round -0.003595411 to 5 decimal places. -0.0036 Round -4306.121 to the nearest 100. -4300 What is 66686.26 rounded to the nearest one thousand? 67000 Round 0.449528 to two decimal places. 0.45 What is -45658.63 rounded to the nearest one thousand? -46000 What is -6651.05 rounded to the nearest 1000? -7000 Round 0.000049531 to five dps. 0.00005 Round 0.0003908 to five decimal places. 0.00039 Round -14188.692 to the nearest 1000. -14000 What is -0.000118775 rounded to five decimal places? -0.00012 Round 2101400 to the nearest ten thousand. 2100000 What is -0.00250238 rounded to five dps? -0.0025 What is 54426000 rounded to the nearest 1000000? 54000000 What is -1.131747 rounded to 1 dp? -1.1 What is -0.00215775 rounded to five decimal places? -0.00216 Round 2.9914401 to one decimal place. 3 Round 4811.9 to the nearest ten. 4810 Round -0.0001052179 to five decimal places. -0.00011 Round 633945200 to the nearest one million. 634000000 What is 7977912 rounded to the nearest 1000000? 8000000 Round 0.566229 to one decimal place. 0.6 What is 0.0323299 rounded to 4 dps? 0.0323 Round -0.00538499 to five decimal places. -0.00538 What is -0.0005740002 rounded to five decimal places? -0.00057 What is -0.0000022835 rounded to 6 dps? -0.000002 Round 0.000000500208 to seven dps. 0.0000005 Round 0.0000091975 to seven dps. 0.0000092 What is 0.00004241426 rounded to 6 decimal places? 0.000042 Round 0.0017872 to 6 decimal places. 0.001787 What is 998.663 rounded to the nearest one hundred? 1000 Round -159.08964 to 1 dp. -159.1 Round -1.081281 to 2 dps. -1.08 What is -70209.39 rounded to the nearest one hundred? -70200 Round 1.030446 to one decimal place. 1 What is 0.67227 rounded to 3 dps? 0.672 Round 0.2974673 to one decimal place. 0.3 What is -75.47117 rounded to the nearest 10? -80 Round 26210712 to the nearest one hundred thousand. 26200000 Round 7355.22 to the nearest one thousand. 7000 What is 0.016113542 rounded to four dps? 0.0161 Round 0.7191801 to three decimal places. 0.719 What is -220169 rounded to the nearest one hundred? -220200 What is 0.00008196637 rounded to 5 decimal places? 0.00008 Round 598059 to the nearest 10000. 600000 Round 0.584535 to one decimal place. 0.6 What is 0.00411403 rounded to 3 decimal places? 0.004 What is 393877500 rounded to the nearest one million? 394000000 Round 0.006316622 to three decimal places. 0.006 Round 10.5103 to two decimal places. 10.51 What is 0.0002468084 rounded to five dps? 0.00025 What is 0.01723004 rounded to five dps? 0.01723 Round -2.374247 to two decimal places. -2.37 What is 20.7971 rounded to 0 dps? 21 Round -0.00129781 to five dps. -0.0013 What is 0.0278964 rounded to 3 dps? 0.028 What is -0.629581 rounded to one decimal place? -0.6 What is 6.9886 rounded to two decimal places? 6.99 Round 1.1534355 to one dp. 1.2 What is -0.0000803535 rounded to six dps? -0.00008 Round -0.000302309 to five dps. -0.0003 What is 72.1612 rounded to the nearest integer? 72 What is 0.000364382 rounded to 5 decimal places? 0.00036 What is 2014326.5 rounded to the nearest 1000? 2014000 Round 84272 to the nearest one thousand. 84000 Round 44275860 to the nearest 100000. 44300000 Round 63709100 to the nearest 1000000. 64000000 Round 0.00000978262 to 7 decimal places. 0.0000098 Round -23614820 to the nearest one hundred thousand. -23600000 Round 4502460 to the nearest one hundred thousand. 4500000 What is 0.0000024977 rounded to seven decimal places? 0.0000025 Round -21.01914 to one dp. -21 What is -24733100 rounded to the nearest one hundred thousand? -24700000 Round 0.000105902 to 3 dps. 0 What is 83231 rounded to the nearest 1000? 83000 What is 8.325926 rounded to the nearest integer? 8 What is 0.00005632253 rounded to seven dps? 0.0000563 Round -0.09138196 to 4 decimal places. -0.0914 What is 143.10242 rounded to the nearest integer? 143 Round -14119.388 to the nearest one hundred. -14100 What is 2699.2385 rounded to the nearest integer? 2699 What is 2.0976123 rounded to two dps? 2.1 What is -12667760 rounded to the nearest 10000? -12670000 What is 104041.9 rounded to the nearest one thousand? 104000 Round -0.1903965 to 2 decimal places. -0.19 Round 9.2615 to the nearest integer. 9 Round 54.27054 to 2 dps. 54.27 What is 45873620 rounded to the nearest ten thousand? 45870000 What is -4896.243 rounded to the nearest one thousand? -5000 What is 57288.8 rounded to the nearest one hundred? 57300 What is -0.02182264 rounded to 4 decimal places? -0.0218 What is 0.00344616 rounded to five decimal places? 0.00345 Round -400956.7 to the nearest ten thousand. -400000 Round -50.87165 to 1 dp. -50.9 Round -10518.659 to the nearest integer. -10519 Round 35950.92 to the nearest 10000. 40000 Round 1461.3971 to the nearest one hundred. 1500 Round 0.3604161 to 4 decimal places. 0.3604 What is 0.024962 rounded to four decimal places? 0.025 What is -0.004287259 rounded to 3 decimal places? -0.004 Round -0.0869023 to three decimal places. -0.087 Round 2625.519 to zero dps. 2626 What is -36831 rounded to the nearest 1000? -37000 What is -56767.96 rounded to the nearest ten thousand? -60000 Round 165798.33 to the nearest 1000. 166000 What is -0.219971 rounded to 1 decimal place? -0.2 What is -0.0000121068 rounded to 7 dps? -0.0000121 Round -269220.41 to the nearest 10000. -270000 What is -2246896 rounded to the nearest 100000? -2200000 Round -963.012 to the nearest ten. -960 Round 1.4487 to two decimal places. 1.45 What is 0.0001103115 rounded to 5 dps? 0.00011 Round -740475000 to the nearest one hundred thousand. -740500000 Round 0.0000465531 to 6 decimal places. 0.000047 Round 247455 to the nearest one hundred thousand. 200000 What is -0.00674914 rounded to 4 dps? -0.0067 Round -15.33583 to the nearest integer. -15 What is -435.8603 rounded to the nearest ten? -440 Round -0.00010336033 to five dps. -0.0001 What is -164.1936 rounded to the nearest integer? -164 Round 1.1263339 to two dps. 1.13 Round 395211 to the nearest 1000. 395000 What is -28346000 rounded to the nearest 1000000? -28000000 What is -0.01019885 rounded to three decimal places? -0.01 What is -0.02437754 rounded to 5 decimal places? -0.02438 Round -0.2748172 to 2 decimal places. -0.27 Round 0.0593807 to three dps. 0.059 Round -1.597483 to three dps. -1.597 What is 2551.93 round
{ "pile_set_name": "DM Mathematics" }
Let g(z) = -45*z**3 - 5*z**2 - 63. Let y(h) = -68*h**3 - 7*h**2 - 94. Let k(m) = 7*g(m) - 5*y(m). Differentiate k(v) with respect to v. 75*v**2 Let r(v) = v**4 - 1. Let h(u) = -3*u**4 + 6*u**2 + 2. Let d(m) = h(m) + 2*r(m). What is the third derivative of d(a) wrt a? -24*a What is the second derivative of 3*l - l - 2*l**5 - 5*l wrt l? -40*l**3 Let m(z) = -17*z**4 + 6*z**2 + 9. Let a(f) = -33*f**4 + 11*f**2 + 17. Let g(s) = -6*a(s) + 11*m(s). Find the first derivative of g(j) wrt j. 44*j**3 Let f(p) be the second derivative of -p**5/4 - p**4/3 - 5*p. Find the third derivative of f(y) wrt y. -30 Let c(l) be the first derivative of l**6/120 + l**5/24 - l**3 + 8. Let p(n) be the third derivative of c(n). Find the second derivative of p(v) wrt v. 6 Suppose 10 = 3*c - 2. Find the second derivative of 2*g - c*g + 0 + 4*g**3 + 0 wrt g. 24*g Let g(j) = 3*j**2 - 1. Let y be g(1). Find the second derivative of 3*m + 3*m**5 + 2*m**y - m**2 - m**2 wrt m. 60*m**3 Let k(y) be the third derivative of 7*y**6/60 + y**5/20 - 3*y**4/2 + 3*y**2. Find the second derivative of k(t) wrt t. 84*t + 6 Let t(w) be the third derivative of w**6/24 + w**5/12 + 8*w**2. What is the third derivative of t(n) wrt n? 30 Let g = -7 + 11. Let p = g + 0. Differentiate -4*b**p + 3 + 3*b**4 + 2*b**4 wrt b. 4*b**3 Let c(d) be the third derivative of d**11/9240 - d**7/252 + d**4/8 + 6*d**2. Let l(b) be the second derivative of c(b). Find the third derivative of l(s) wrt s. 720*s**3 What is the third derivative of 33*q**6 + 3*q**6 + 38*q**2 - 6*q**6 wrt q? 3600*q**3 Let m be 10/8 + (-1)/4. Let x be 6 + -9 - (-14)/2. Differentiate 3 + m + x*i - i - i wrt i. 2 Suppose -f + 1 - 2 = 0. Let t(o) = -1. Let n(s) = 0*s**6 + 2 + 2*s**2 + 2*s**6 - s**6. Let a(v) = f*n(v) - 2*t(v). What is the third derivative of a(d) wrt d? -120*d**3 Let k(t) = 56*t**4 - 91*t**2 + 21*t - 21. Let g(m) = 11*m**4 - 18*m**2 + 4*m - 4. Let p(o) = 21*g(o) - 4*k(o). What is the third derivative of p(u) wrt u? 168*u Suppose 6 + 14 = 4*m. Find the second derivative of -2*g**5 + 2*g + 2*g**m - 3*g**5 + 3*g wrt g. -60*g**3 Let h(d) = d**3 - d**2 + d - 1. Let s(k) = 40*k**3 - 2*k**2 + 24*k - 2. Let m(v) = -2*h(v) + s(v). Find the second derivative of m(j) wrt j. 228*j Let p(y) = 9*y**4 - y**3 - 7*y**2 - 2. Let c(f) = 2*f**4 - f**3 - f**2 + 1. Let o(i) = 2*c(i) + p(i). Find the third derivative of o(b) wrt b. 312*b - 18 Let v(x) be the third derivative of -x**8/840 + x**5/30 - x**3/2 - 3*x**2. Let t(w) be the first derivative of v(w). Find the second derivative of t(j) wrt j. -24*j**2 Let p(f) = 5*f**3 - 31*f**2. Let y(m) = -4*m**3 + 31*m**2. Let u(d) = -3*p(d) - 2*y(d). Find the third derivative of u(s) wrt s. -42 Let n(q) be the third derivative of -q**8/336 + q**6/40 - q**5/60 + q**4/24 - 49*q**2. What is the third derivative of n(y) wrt y? -60*y**2 + 18 Let j(s) = 3*s**2 - s. Let y be j(1). Suppose y*c = c + 3. Find the third derivative of 2*l**c + 2*l**2 - l**2 - 3*l**3 wrt l. -6 Let c = 0 + 3. Find the third derivative of 2*n + 2*n - n**c - 4*n + n**2 wrt n. -6 Let j(s) = 15*s**4 - 6*s + 5. Let g(p) = 0*p - 2*p**4 + 6*p + 2 + 9*p**4 - 9*p. Let u(q) = 5*g(q) - 2*j(q). Find the second derivative of u(w) wrt w. 60*w**2 Find the third derivative of 3*b**6 - 3*b**2 - 251*b**3 + 251*b**3 wrt b. 360*b**3 Let n(l) = l. Let k(w) = 19*w**4 - 10*w. Let p(a) = -k(a) - 3*n(a). Find the second derivative of p(j) wrt j. -228*j**2 Let z be 0 - (-7)/((-14)/(-12)). Let d = -4 + z. Find the third derivative of -2*f**6 + 6*f**2 - 4*f**2 + 0*f**d wrt f. -240*f**3 Let u(a) = 5*a**4 + 25*a**2 + 7*a. Let g(y) = 11*y**4 + 49*y**2 + 13*y. Let d(r) = -6*g(r) + 11*u(r). What is the third derivative of d(o) wrt o? -264*o Let x(s) = s. Let q(f) = -4*f**2 + 0*f - 5*f**2 + 5*f + 4*f. Let l(a) = -q(a) + 4*x(a). Find the second derivative of l(y) wrt y. 18 Let x be 1 + 2 + (2 - 4). Let h(v) = -2*v**2 - v - 4. Let g(z) = z**2 - z - 1. Let t(p) = x*h(p) - g(p). What is the derivative of t(i) wrt i? -6*i Let f(c) = -c**5 + c**3 + c**2 + c. Let t(y) = y**6 - 3*y**5 + 3*y**3 + 6*y**2 + 3*y. Let p(b) = -15*f(b) + 5*t(b). Find the third derivative of p(w) wrt w. 600*w**3 Find the second derivative of -5*t + 3*t + 2*t - 8*t - 12*t**2 wrt t. -24 Let r(l) = -l**3 + l**2 - l + 1. Let j(u) = 2*u**3 + 13*u**2 - 3*u + 3. Let c(v) = j(v) - 3*r(v). What is the third derivative of c(i) wrt i? 30 Let p = 10 - 7. Let j(o) = o - 3. Let c be j(5). What is the third derivative of c*t**4 + 0*t**2 - t**2 + p*t**2 wrt t? 48*t Suppose -1 - 5 = -3*t. What is the third derivative of -2*v**t + v - 16*v**3 - v + 13*v**3 wrt v? -18 Let w(h) be the first derivative of h**6/360 + h**5/60 + h**3/3 - 2. Let q(z) be the third derivative of w(z). Find the second derivative of q(d) wrt d. 2 Let z(s) be the second derivative of 0*s**2 - 1/20*s**5 - 1/6*s**4 - 7*s + 0*s**3 + 0. Find the third derivative of z(n) wrt n. -6 Let p(d) be the first derivative of 23*d**5/5 + 14*d**3 - 3. What is the third derivative of p(w) wrt w? 552*w Let r(p) = 3*p + 3. Let a(k) = 2*k. Let m(b) = -6*b + 1. Let d(x) = 7*a(x) + 2*m(x). Let w(y) = -11*d(y) + 6*r(y). Differentiate w(t) wrt t. -4 Let g(d) be the first derivative of 5*d**3/3 + 6*d + 9. Differentiate g(q) with respect to q. 10*q What is the second derivative of z - 6*z - 4*z**2 + z wrt z? -8 Let d(u) be the third derivative of u**4/24 - u**3/2 + u**2. Let m be d(5). What is the third derivative of 3*i**4 - i**2 - 3*i**4 + 3*i**6 + 3*i**m wrt i? 360*i**3 Let f(m) be the first derivative of -25*m**3/3 + 3*m**2/2 - 7*m + 35. What is the second derivative of f(h) wrt h? -50 Let u(c) be the first derivative of 5*c**2/2 + 7*c - 1. Differentiate u(w) wrt w. 5 What is the third derivative of -8*r**2 + 15*r**2 - 15*r**2 - 18*r**6 wrt r? -2160*r**3 Let x(r) be the second derivative of -r**6/240 - r**5/120 + 5*r**4/12 - 7*r. Let m(b) be the third derivative of x(b). Differentiate m(n) wrt n. -3 Let s(w) = -w**3 + 9*w**2 - w + 11. Let u(d) = 4*d - 3. Let b be u(3). Let g be s(b). What is the third derivative of a**g + a**4 + 0*a + 0*a wrt a? 24*a Let a(y) be the second derivative of 0*y**5 + 0*y**4 + 1/42*y**7 + 4*y + 0*y**2 + 0*y**6 + 0 - 2/3*y**3. What is the second derivative of a(d) wrt d? 20*d**3 Find the first derivative of -4 - 9 - m**3 + 6 + 5*m**3 wrt m. 12*m**2 Let r(n) be the second derivative of 0*n**5 + 0*n**3 - n + 0*n**2 + 1/12*n**4 - 1/15*n**6 + 0. What is the third derivative of r(s) wrt s? -48*s Let c be (8 + -11)/(6/(-8)). Suppose 5*m = m + 4. Find the first derivative of m + p**c - 1 - 1 wrt p. 4*p**3 Let w(s) = 3*s**4 + 2*s**2 + 13. Let h(g) = 3*g**4 + 3*g**2 + 13. Let o(p) = -4*h(p) + 6*w(p). What is the derivative of o(t) wrt t? 24*t**3 Let y(j) be the third derivative of 4*j**7/35 + 13*j**4/12 + 9*j**2. Find the second derivative of y(o) wrt o. 288*o**2 Let v(n) = 3*n**2 - n. Let w be v(1). Let u(l) be the first derivative of 4 - l**2 - 2 - 2*l + w. Differentiate u(z) with respect to z. -2 Let t = 3 + -1. Suppose -5*a = q - t*q - 15, -14 = -2*a + 2*q. What is the third derivative of u**a - 3*u**6 + 5*u**5 + u**2 - 5*u**5 wrt u? -360*u**3 Let i(y) be the second derivative of y**7/210 + y**6/120 + 2*y**3/3 - y. Let u(w) be the second derivative of i(w). What is the third derivative of u(r) wrt r? 24 Let r(o) = o**3 + o**2 + o - 1. Let d(h) = -h**3 + 6*h**2 + 6*h - 18. Let l(i) = d(i) - 6*r(i). What is the derivative of l(k) wrt k? -21*k**2 Suppose -1 + 11 = 5*f. Find the third derivative of 12*v**3 - v**f - 7*v**3 + 0*v**2 wrt v. 30 Let t(a) = -35*a - 28. Let y(m) = 71*m + 57. Let k(g) = -9*t(g) - 4*y(g). Differentiate k(w) wrt w. 31 Let g(x) be the third derivative of x**7/70 + 7*x**3/6 - 2*x**2. What is the derivative of g(s) wrt s? 12*s**3 What is the derivative of -1 - 9 + 0 - 11*r**2 wrt r? -22*r Let o be 0/(3 + 4*-1). What is the third derivative of f**2 + f**2 + f**3 + o*f**3 wrt f? 6 Let h(r) = 20*r**2 + 7*r - 4. Let x(i) = -41*i**2 - 15*i + 9. Let v(l) = -9*h(l) - 4*x(l). What is the second derivative of v(p) wrt p? -32 Let q(f) be the second derivative of 23*f**5/20 + 2*f**4 - 16*f. Find the third derivative of q(s) wrt s. 138 Let h = 7 + -6. Find the first derivative of 0*o - 4*o + h - 2 wrt o. -4 Let r be (-6)/(-4) + (-9)/6. Le
{ "pile_set_name": "DM Mathematics" }
6*c - 5*c. Suppose -5*m = 5, 6*m - 3*m + 1 = -i. What is the tens digit of l(i)? 5 Suppose -9*t + 24 = -5*t. Let j be t - 3/6*6. Suppose 136 = 7*a - j*a. What is the units digit of a? 4 Suppose 0 = 3*c + q + 2372, c - 4*q + 3184 = -3*c. Let n = c + 1158. Suppose 3*b - j + 354 = 6*b, 3*b - 3*j - n = 0. What is the hundreds digit of b? 1 Suppose -3*q - 5*z = -2919, 0 = 5*z + 15. What is the hundreds digit of q? 9 Let b(x) = 7*x**3 + 32*x**2 - 5*x - 117. What is the units digit of b(12)? 7 Let z(l) = 5*l**3 - 3*l**2 + 12*l - 49. Suppose 70 = 20*m - 50. What is the tens digit of z(m)? 9 Let x = -119 - -122. Suppose t - 13 = h - 40, x*h - 66 = -2*t. Suppose 25*s - h*s = 124. What is the tens digit of s? 2 Let p = -3 - 3. Let h(r) = -29*r + 2. What is the hundreds digit of h(p)? 1 Let t(l) = -1743*l - 6275. What is the ten thousands digit of t(-18)? 2 Let q be 9/2 + (-1)/(-2). Let d(w) be the second derivative of -w**3/6 + 15*w**2/2 + 12*w + 2. What is the tens digit of d(q)? 1 Let s(f) = -f**3 + 35*f**2 - 7. Let q be s(35). What is the tens digit of ((-37)/q - 1)/(30/2520)? 6 Let a(r) = 4019*r**2 - 344*r - 1370. What is the hundreds digit of a(-4)? 3 What is the units digit of 3*7/(-63) - 91/(-42)*1886? 6 Suppose 11*w = 3*m + 13*w - 41723, 4*m = 5*w + 55669. What is the units digit of m? 1 Suppose -3*p - 47 = -s, 0*p = -4*p - s - 58. What is the tens digit of p*(1/(-2) + 990/(-12))? 4 Suppose 10*u - 7*u + 282933 = 0. What is the tens digit of (2 - 7)*(u/(-45))/(-7)? 9 Let y be 8 - (4/(-2))/((-24)/48). What is the tens digit of (8 - 7)/(y/3112)? 7 Let s = 314 - 311. Suppose -s*y = 15, 2*y + 942 = 3*r - 1060. What is the units digit of r? 4 What is the thousands digit of (-8121)/(-6)*8/(-5 - -7)? 5 Suppose 0 = 3*o - 3*s - 5319, 16*o + 2*s - 8893 = 11*o. What is the units digit of o? 7 Suppose -212*q + 15 = -217*q, -5*s + 4*q = -143792. What is the tens digit of s? 5 Suppose -2*f - 3*w + 17 = 0, w + 15 - 64 = -4*f. Suppose -2817 = -f*j + 4*j. What is the hundreds digit of j? 3 Let p(a) = 5*a - 66. Let c be p(12). What is the hundreds digit of (3/c*-1086)/3? 1 Suppose 0 = 65*a - 49*a - 249632. What is the ten thousands digit of a? 1 Let b(h) = h**2 - 3. Let o be b(16). Suppose -o = -f + 309. What is the units digit of f? 2 Suppose -3*u = -4*y + 16602, -y + 12446 = 2*y - 5*u. Suppose -3*h - 4*b + 3113 = 0, -4*h = -0*h + 4*b - y. What is the tens digit of h? 3 Let a(n) = -2*n**3 + 6*n**2 - 8. Let m be a(3). Let y(k) = k**3 + 7*k**2 - 18*k - 19. What is the units digit of y(m)? 1 Let z be ((-294)/(-35))/((-3)/30). Let w = z + 46. Let v = 126 + w. What is the tens digit of v? 8 Let c(z) = -38*z**2 + 2*z + 5. Let d be c(3). Let i = d + 1240. What is the units digit of i? 9 Suppose 3*l - 4*u = 205, -30 = 5*u - 10. Let r = l + 23. Suppose 4*h - 245 = -3*t + 21, -2*h + r = t. What is the units digit of t? 4 Suppose 2*l = l - 2*l + 55200. What is the ten thousands digit of l? 1 Let h(b) = -b**2 + b + 4. Let r be h(-4). Let a(o) be the third derivative of -o**4/12 - 13*o**3/3 + 622*o**2. What is the units digit of a(r)? 6 Let y = 201 - -7. Let z = y - 78. What is the hundreds digit of z? 1 Suppose 4*f = -f - 3*i + 1980, 3*f + 4*i - 1199 = 0. Suppose -3*p + f = -129. What is the units digit of p? 4 Let g be (-4)/(-1) + 4 + 63. Suppose j = 3*s - 17, 3*j + g = 4*s + s. What is the hundreds digit of (j/24)/((-1)/78)? 1 Let h = -504 + 1563. Let f = -570 + h. What is the hundreds digit of f? 4 Suppose 3*z - 2698 = -4*t - 484, 0 = -4*t. Let k = z - 602. What is the units digit of k? 6 Let r(g) = -567*g - 322. What is the units digit of r(-11)? 5 Let k(a) = a. Let o be k(0). Suppose -5*j + 1039 = -4*v, 13 - 33 = -5*v. Suppose o = -n + j - 63. What is the hundreds digit of n? 1 Suppose 1916 = 2*f + 3*u - 6*u, -4*u = 2*f - 1944. Let l = -570 + f. Suppose -17*o + 19*o = l. What is the units digit of o? 7 Let f(r) = 9 - 6*r**2 - 2 + 10 - 10*r**2 - r + 5*r**3. Let t(z) = -9*z**3 + 31*z**2 + 2*z - 33. Let g(m) = -7*f(m) - 4*t(m). What is the units digit of g(12)? 1 Let j(q) = -q**2 + 3*q - 9 - 15*q - 3. Let s(y) = -y - 1. Let d(m) = j(m) - 4*s(m). What is the units digit of d(-6)? 4 Let l(i) = -37*i**3 + 2*i**2 - 5*i - 8. Suppose -6*d + 16 = 28. What is the units digit of l(d)? 6 Let a be (9 + (-247)/(-5))*(-25)/(-2). Let q = 257 + a. What is the hundreds digit of q? 9 Let y(g) = -g**3 - 29*g**2 + 74*g - 107. Let q be y(-33). Let a = q - 1268. What is the hundreds digit of a? 5 Let f be -30 - (6*10/15 - 1). What is the tens digit of (6/f - (-12382)/(-22))/(-1)? 6 Let g(c) be the first derivative of 22*c**3 + 3*c**2 + 10*c + 8. Let l be g(-2). Suppose -5*r + 353 = -l. What is the hundreds digit of r? 1 Let f(u) = -16*u + 16*u**2 + 26*u**2 + 30*u - 12. What is the units digit of f(-5)? 8 Suppose -2*y = 49 - 39. Let l = y - 27. Let s = 40 + l. What is the units digit of s? 8 Let g(j) = 132*j - 32*j - 24 + 246*j + 285*j - 4. What is the units digit of g(2)? 4 Let z be 17/((2/(-42))/(30/(-35))). Let j = 731 - z. What is the tens digit of j? 2 Let h = 12 - 16. Let i be h/(24/39) - (-1)/2. Let o = 110 - i. What is the units digit of o? 6 Let j = 1000 + -1000. Suppose j = 5*x - 2*g - 6688, 29*x = 32*x + 5*g - 4019. What is the hundreds digit of x? 3 Let m = 4882 - 1006. What is the thousands digit of m? 3 Let w = -38678 - -66556. What is the thousands digit of w? 7 What is the thousands digit of -6*(-9)/(18/1042)? 3 Let t(g) = -4*g - 17. Let x be t(-5). Suppose -x*b - 311 = -845. Suppose 3*n - 3 = 4*o + 527, o + b = n. What is the hundreds digit of n? 1 Suppose 7*y - 3*o = 10*y - 74145, -98905 = -4*y + 5*o. Suppose 0 = 6*k + 10*k - y. What is the hundreds digit of k? 5 Let b(d) = 6*d**2 + 46*d - 12. Let m be b(-10). Let l = m + -85. What is the tens digit of l? 4 Suppose -129*j + 50*j + 661072 = 0. What is the units digit of j? 8 Suppose 2*m - 5240 = -2*d, 2*d - 3*m = -m + 5252. What is the tens digit of d? 2 Suppose 0 = 596*d - 675*d + 222069. What is the units digit of d? 1 Let l(v) = v**2 - 3*v + 2. Let p be l(3). Suppose -u = -p*u. Suppose 75 = o - 2*y, u*y = 4*o - 3*y - 300. What is the units digit of o? 5 Let t(a) = -1558*a + 570. What is the hundreds digit of t(-4)? 8 Suppose 71*x - 240036 = 426508 - 75895. What is the thousands digit of x? 8 Let q = 136 + -131. Suppose -4*k = -3*i - 5*k + 3202, 5*k + 5310 = q*i. What is the hundreds digit of i? 0 What is the hundreds digit of (25478*-5 - 4)/((-212)/106)? 6 Let n = 38983 - 988. What is the units digit of n? 5 Let c(p) = -p**3 - 13*p**2 - 19*p - 57. Let d be (-18)/(-4)*(-40)/12. What is the hundreds digit of c(d)? 6 Let p = -214 - -200. What is the tens digit of ((-7356)/(-30))/(p/(-35))? 1 Suppose 0 = 2*h - i - 1194, -5*h - i + 268 = -2724. Suppose -3*w + 4*w = h. What is the units digit of w? 8 Let q(f) = -f - 7. Let y be q(-9). Let c(d) = -d**2 - 4*d + 11. Let s be c(-5). What is the units digit of (s - -30) + (0 + -1)*y? 4 Suppose 440211 = 12*m + 3*z, 2*z = 5*m - 60721 - 122710. What is the hundreds digit of m? 6 Suppose 2*j - 3*a - 81758 = 0, 4*j + 3*a = 257948 - 94486. What is the hundreds digit of j? 8 Let g be -3 - 5/((-20)/16). Let a(b) be the second derivative of 147*b**5/20 + b**3/3 - b**2 + 7*b. What is the units digit of a(g)? 7 Suppose -51*c - 234493 + 858058 = -24*c. What is the tens digit of c? 9 Let p(d) = 20*d**2 + 8*d + 26 - 8 + 3 + 23. What is the units digit of p(-5)? 4 Suppose 5*a + 169 = -618*g + 621*g, -5*g - 2*a + 230 = 0. What is the units digit of g? 8 Let r = 5262 - 9022. What is the tens digit of (-2)/((-2 - -5) + r/1250)? 5 Suppose -x - 6 = -4*x, 3*b = 2*x + 326. Let g = -81 + b. Suppose 0 = -35*s + g*s + 690. What is the hundreds digit of s? 1 Let u be (-11982)/(-4)*(-120)/(-180). Let o = u + -1265. What is the units digit of o? 2 Suppose -182*a + 126144 = -648448. What is the tens digit of a? 5 What is the units digit of ((-196)/72 + (-2)/(-9))*(-4142468)/155? 4 Let x(d) = -8585*d**3 - 12*d**2 - 6*d + 5. What is the hundreds digit of x(-1)? 5 Suppose -5*f - 3*r = -30, -2*r + 4 = f - 3*f. Let n(o) = -o - 2. Let u be n(f). What is the units digit of ((-18)/15)/1*u? 6 Let z(c) = 12*c**2 + 70*c + 542. What is the thousands digit of z(-10)? 1 Let j be (-2)/12 - 366/(-36). Suppose 2*z = 5*y - 3*z
{ "pile_set_name": "DM Mathematics" }
106 and 917346260? 106 What is the highest common divisor of 83993264 and 656? 16 What is the greatest common factor of 123862692 and 3084? 3084 What is the greatest common factor of 7621348 and 343? 7 What is the greatest common factor of 74 and 54336979? 37 What is the highest common divisor of 36491 and 466363? 401 Calculate the greatest common factor of 75657450 and 264. 66 What is the greatest common divisor of 1263648 and 128? 32 Calculate the greatest common divisor of 129 and 13282657. 43 What is the highest common divisor of 31295244 and 744? 372 What is the highest common factor of 42601 and 1547? 13 Calculate the greatest common divisor of 5674 and 695967166. 5674 Calculate the highest common divisor of 34134803 and 173. 173 What is the greatest common factor of 1987858 and 7242? 142 What is the greatest common factor of 231 and 18444657? 231 What is the greatest common factor of 17 and 437220943? 17 What is the highest common divisor of 3108725 and 225? 25 What is the highest common divisor of 12223194 and 2736? 114 Calculate the greatest common divisor of 62553792 and 232. 8 Calculate the greatest common divisor of 176 and 1487827. 11 Calculate the highest common factor of 12 and 9854892. 12 What is the greatest common divisor of 59897296 and 58? 58 What is the greatest common divisor of 646 and 7333766? 34 Calculate the highest common factor of 59056994 and 472. 118 Calculate the highest common divisor of 1089 and 30908889. 99 Calculate the highest common factor of 1440 and 475328. 32 Calculate the highest common factor of 780 and 1459524. 12 Calculate the greatest common divisor of 6561243 and 1581. 93 Calculate the greatest common factor of 426664779 and 2774. 1387 What is the highest common divisor of 208 and 2385968? 208 What is the greatest common divisor of 1278 and 4118852? 142 What is the greatest common divisor of 130 and 17391855? 65 Calculate the greatest common factor of 648642 and 804. 6 What is the highest common divisor of 394297 and 15425668? 9617 Calculate the greatest common divisor of 163416 and 10523. 619 Calculate the highest common divisor of 136819 and 15523. 361 Calculate the highest common factor of 170 and 660178. 34 What is the greatest common factor of 4 and 81262? 2 What is the highest common factor of 3248 and 323699740? 812 Calculate the greatest common factor of 334172 and 35321. 19 Calculate the greatest common factor of 312 and 21440172. 156 What is the greatest common divisor of 82770 and 205530? 930 What is the greatest common divisor of 4186512 and 18128? 176 What is the highest common divisor of 6050955 and 150? 15 What is the highest common factor of 5128224 and 10272? 96 Calculate the greatest common divisor of 20 and 9955730. 10 Calculate the greatest common divisor of 11776 and 15782048. 736 Calculate the greatest common divisor of 8651 and 411661. 211 What is the highest common factor of 1312 and 2192680? 328 What is the highest common divisor of 135732222 and 205? 41 What is the greatest common factor of 1303240 and 496? 248 What is the highest common factor of 20 and 19885120? 20 What is the greatest common divisor of 75711960 and 184680? 6840 Calculate the highest common factor of 575 and 3266425. 25 What is the highest common factor of 18656560 and 1430? 130 What is the highest common divisor of 4184 and 53264? 8 What is the greatest common divisor of 52464775 and 5? 5 What is the highest common factor of 3490 and 1315? 5 What is the highest common divisor of 96 and 552707916? 12 Calculate the greatest common factor of 42282 and 61934382. 1458 Calculate the highest common divisor of 56 and 25782260. 28 What is the greatest common divisor of 1881 and 561? 33 What is the greatest common factor of 2952 and 4261212? 1476 Calculate the greatest common factor of 57431 and 6325. 253 Calculate the greatest common factor of 7708 and 20049. 41 What is the highest common divisor of 8166879 and 4266? 27 Calculate the highest common factor of 1102039 and 943. 41 Calculate the highest common factor of 64890289 and 3461. 3461 Calculate the greatest common factor of 1041630666 and 246. 246 Calculate the highest common divisor of 192 and 659907264. 192 Calculate the highest common factor of 93801348 and 108. 108 Calculate the greatest common divisor of 4 and 1404679076. 4 What is the highest common factor of 163565 and 25? 5 Calculate the greatest common divisor of 54755 and 2042245. 1165 What is the highest common divisor of 78024373 and 85? 17 What is the greatest common divisor of 3343225 and 2910725? 4325 What is the highest common factor of 547110232 and 984? 328 Calculate the greatest common divisor of 233916 and 23533. 101 Calculate the highest common divisor of 4576968 and 3456. 72 Calculate the highest common factor of 1344 and 530516224. 448 What is the greatest common factor of 173846941 and 171? 19 Calculate the greatest common factor of 14 and 98337652. 14 Calculate the highest common divisor of 85277748 and 240. 12 What is the highest common factor of 25 and 128894850? 25 Calculate the greatest common divisor of 4632 and 3136443. 579 What is the greatest common divisor of 312 and 457237066? 26 Calculate the greatest common divisor of 418 and 803662. 38 What is the greatest common factor of 26207361 and 1323? 27 What is the highest common divisor of 377300 and 177485? 385 What is the highest common factor of 56240736 and 66? 6 What is the greatest common factor of 290 and 19980130? 290 Calculate the greatest common divisor of 1106959 and 616189. 5453 What is the highest common factor of 499069821 and 2865? 573 Calculate the greatest common divisor of 1267070 and 476135. 3935 What is the highest common divisor of 3804 and 3504118? 634 What is the greatest common factor of 1306425 and 27725? 25 Calculate the greatest common factor of 55782 and 6122591. 1033 Calculate the highest common divisor of 63778589 and 3010. 301 Calculate the highest common factor of 306656 and 7658. 14 What is the greatest common divisor of 388839 and 704? 11 Calculate the greatest common factor of 256 and 13737728. 256 What is the greatest common factor of 157 and 63805? 1 What is the highest common divisor of 199530558 and 54? 18 What is the greatest common divisor of 163037360 and 376? 376 Calculate the highest common divisor of 45420 and 154443140. 15140 Calculate the greatest common factor of 5700 and 149425. 25 What is the greatest common divisor of 258519677 and 26? 13 What is the highest common divisor of 801 and 88029? 9 What is the greatest common factor of 27930 and 190561? 49 Calculate the highest common factor of 19249618 and 436. 218 Calculate the greatest common factor of 50760 and 375. 15 What is the highest common factor of 54 and 106948872? 18 Calculate the highest common factor of 1887 and 3611163. 111 What is the greatest common divisor of 74 and 13037357? 37 Calculate the greatest common divisor of 645210 and 961930. 1070 Calculate the greatest common factor of 131081 and 526927. 19 What is the greatest common divisor of 1672692 and 168? 84 What is the greatest common divisor of 365928 and 57900? 2316 Calculate the greatest common factor of 8699543 and 46. 23 What is the greatest common factor of 18011 and 2075332? 581 Calculate the greatest common divisor of 635726805 and 63. 21 Calculate the highest common divisor of 25809347 and 109. 109 Calculate the highest common divisor of 101860288 and 24. 8 What is the highest common divisor of 3791 and 1539877? 17 What is the highest common divisor of 10443 and 1450338? 177 Calculate the greatest common divisor of 82 and 36621446. 82 What is the highest common divisor of 101844956 and 388? 388 Calculate the highest common divisor of 127 and 893. 1 What is the highest common divisor of 289459656 and 135? 27 What is the greatest common factor of 121197539 and 153? 17 Calculate the greatest common factor of 1081 and 28505500. 47 Calculate the greatest common factor of 2272785 and 6570. 15 Calculate the highest common divisor of 17478366 and 1254. 114 Calculate the highest common factor of 25731735 and 15. 15 What is the highest common divisor of 557236 and 5? 1 Calculate the highest common factor of 98816 and 1520840. 1544 What is the highest commo
{ "pile_set_name": "DM Mathematics" }
-5*m + 2*n = -3*n + j, 2*m - 5*n = -29 for m. -2 Suppose 0 = 6*y - 134 + 158. Let c be 23/1 - y/4. Solve 2*r + c = 4*a, -4*r + 16 - 49 = -5*a for a. 5 Let c be 5/(360/16*(-1)/(-9)). Solve v - 6 = c*y - 3, 3*y = 4*v - 17 for y. 1 Let x be (-20 - -24)*(1 + 0). Let m(i) = -i + 20. Let h be m(x). Solve -2*p + 4 = 5*k - 4, -4*p = 3*k - h for p. 4 Suppose -107*u = -132 - 82. Solve u*b - 2*v - 8 = 0, -v - 15 = 4*v for b. 1 Let f = 175 + -167. Let n = -3 + f. Solve -2*u + i = -7, 10 + 6 = n*u - 3*i for u. 5 Let u be (-5 - (-141)/33)*(-132)/24. Solve -2*j + u*b - 10 = -0*j, -4*j + 2 = 3*b for j. -1 Let o be (-4 - 0 - -4)/(4/1). Suppose 9*p = -0*p + 18. Solve 4*g - 17 - 3 = -p*l, -l + 4*g - 8 = o for l. 4 Suppose 258*j = 224*j + 136. Solve h = -2*h + 2*l + 8, 24 = j*h + 4*l for h. 4 Suppose 3*w - 205 = 12*w - 223. Solve -2 = w*d, 0 = 2*p - 4*p + d - 5 for p. -3 Let f be 52/20 - 3/5. Suppose -2*r + 12 = f. Suppose -5*z + 11 = -3*c, -2*c = -r*z - 0*c + 14. Solve -l = 2*m - 3*l - 8, -z*m + 10 = -2*l for m. 1 Let r = -753 - -762. Suppose r*x = 2*x - x. Let s = 4 + -1. Solve -5*a = s*l + 15, x = -2*a - l - 2 - 3 for a. 0 Let y(l) = 36*l - 1005. Let j be y(28). Solve -4*a = a - 2*d + 11, j*d - 6 = 4*a for a. -3 Let n be 2/(-3 + (-49)/(-14)). Solve -5*c - 4*z - 15 = 14, 4*c + 24 = -n*z for c. -5 Suppose g - 3 = 0, -c - g = -31 - 26. Let p = c - 14. Let v be (-2)/((-2)/(-5))*-1. Solve 0 = v*h - 5*n, -2*h - 3*h - 5*n + p = 0 for h. 4 Suppose -257*g = 58*g. Solve g = -5*s - 5, 0 = -3*z - 4*s + 8*s + 4 for z. 0 Let z = 23886 + -23882. Solve z*m + 10 = 4*n + 2, 6 = -3*m - 2*n for m. -2 Let p = -6112 - -6117. Solve -8*l - 2*g - p = -11*l, 5*l - 5 = 5*g for l. 3 Let n(q) = -q**3 - 3*q**2 - 19*q + 8. Let u(d) = 2*d**3 + 2*d**2. Let s(o) = n(o) + u(o). Let x be s(-4). Solve x*y + 3*k - 26 = 0, -2*y + 3*k + k = -2 for y. 5 Suppose -8*k + 5*r - 55 = -4*k, 3*k = r - 55. Let w be (-8)/k + (-24)/(-15). Solve j - 25 = -4*q - 0*j, 3*j = -w*q + 25 for q. 5 Let j be (6 - 69/9)*(-30)/25. Solve -c + 17 = -2*c - 3*t, j*c = 5*t + 10 for c. -5 Let c = -881 + 899. Suppose -27 = -3*b + 6. Let i = 14 - b. Solve 5*l - 15 = s, -4*s + 2*l - c = i*l for s. -5 Suppose 5*u + 345 - 125 = 0. Let o = u + 46. Solve 2*d - 6 - o = -2*i, 4*i + 5*d - 17 = 0 for i. 3 Suppose -36*v + 39 = -69. Let t(l) = -l**2 + 9*l - 15. Let w be t(v). Solve -4*g - w*c + c = 8, -g - 5*c = -7 for g. -3 Suppose -6*i + 63 = 51. Suppose 0 = -r + 9 - 3. Solve -i*m + v - 3 = 0, r*v = 2*m + 4*v + 8 for m. 1 Let x = -12702 + 12705. Solve -6*o - 27 = -x*o + 5*n, 0 = 5*o + 4*n + 32 for o. -4 Let w be (-3 - 9) + 1216/64. Solve a - w = 8*z - 3*z, 0 = 5*z + 10 for a. -3 Suppose 3*i + 3 = 0, 3*c - 263*i + 258*i + 70 = 0. Let o = -100 + 50. Let m = c - o. Solve m = -4*q + 5*q - 5*h, 5*q + 5*h = -25 for q. 0 Let k(t) = -t**3 + 7*t**2 - 11*t + 33. Let r be k(6). Suppose -r - 3 = 2*c - 2*o, -2*o = -c - 8. Solve -c*f = 2*x + 16, -4*x - 8 = x - 3*f for x. -4 Let v(n) = -n**2 - 82*n - 1660. Let r be v(-37). Solve 0 = -119*t + 118*t + 2*h - 1, r*h + 10 = 0 for t. -5 Let b = 947 + -943. Solve -3*s - 15 = -b*a, 2*a = -s - 3*a - 5 for s. -5 Suppose -2*i = 4, 2*s + 7*i - 1146 = -1156. Solve 6*x + 10 = -s*o + 7*x, 0 = 6*x for o. -5 Let g = 491 + -273. Let d = g - 216. Solve 6 + 13 = -4*t - 3*k, 3*t - k = d for t. -1 Let u = 86035 + -86032. Let q(x) = x + 4. Let a be q(-4). Solve a = v - 2*r - 6, 2*v + 1 + 1 = -u*r for v. 2 Let z(h) = 19*h**2 - 14*h**2 + 42 - 23*h**2 + h**3 - 21*h. Let g be z(19). Solve 0 = 2*o - 3*o + f + 2, -3*o + 7 = -g*f for o. 1 Let k = 2439 + -2435. Solve 5*m + 27 = k*z, 40*m - 41*m - 18 = -5*z for z. 3 Suppose -m + 6*r - r = -3, 4*m - 4*r = 28. Solve 11*w - 15*w = m, -5 = -5*h - 5*w for h. 3 Let u = 7 + -39. Let q = 45 + u. Let v = 37966 + -37963. Solve 3*j = v*s + 2 + q, -4*s = -3*j + 19 for j. 1 Let t(m) = -m**2 - 22*m + 343. Let k be t(-32). Solve 4*l + 2*x + 4 = 0, k*l - x - 2 = 24*l for l. 0 Let m = -2540 + 2540. Solve m*f + 2 = 5*w + 3*f, -3*w - 2 = 5*f for w. 1 Let m(u) be the second derivative of -u**3/6 + 7*u**2/2 + 16*u. Let l = 72 + -80. Let x be m(l). Solve o + 3*v - 6*v + x = 0, -5*v = -4*o - 32 for o. -3 Let q = -4 - -7. Suppose -b - 3*d - 5 = 0, d = -3*b + 1 - 0. Solve 0 = j - 5*l + 7, j = 4*l - q*l + b for j. 3 Suppose 0 = 4*v + 2*w + 290, 5*v + 5*w + 360 = 2*w. Let j = 80 + v. Solve 0 = -5*n + 6*f - f - 10, 0 = -n - j*f + 16 for n. 1 Let p(n) = -2*n + 2. Let k be p(2). Let w(f) = -4*f - 3*f + 5*f - 2. Let g be w(k). Solve -3*s + 4 = 4*x + 28, s - 2 = g*x for s. -4 Let c = 842 - 838. Suppose 4*q + s + s - 22 = 0, -s = -q + 4. Solve -c*p - 19 = -q*n, -p + 4*n - 7 = 6 for p. -1 Let y = 41850 + -41845. Solve 23 = -10*s + 7*s - 5*m, -y*m - 18 = -2*s for s. -1 Let n = 41 - 40. Let c = 1 - n. Let u be ((-6)/(-3) + -8)/(-6). Solve -4*o - u - 7 = c, -2 = m + o for m. 0 Let n(i) = 15*i + 192. Let r be n(-12). Let g be 38/(-14) - (-4)/(-14). Let m = r - g. Solve -x = -5*o + m, -5*o + 36 = -4*x + 6 for o. 2 Let n be 1/((-10)/(-15) + 1/(-6)). Suppose n*c = 3*c. Solve 2*u + 7 = 7*g - 2*g, c = -3*g - u + 2 for g. 1 Let z(l) = 99*l - 3*l**2 - 18*l - 27*l - 30*l + 29. Let g be z(12). Let p = g - -119. Solve -10 = 3*i - 7*i - 2*w, 0 = -p*i - 3*w + 13 for i. 1 Suppose -21 = -7*k - 7. Let w(a) = 66 - 5*a - 13 + k*a. Let q be w(16). Solve g - 4 = -5*s, 3*g - q*s + 3*s = 12 for g. 4 Suppose 8 = -b + 4*i, i = 5*b - 7*b + 11. Solve -x = 0, x + b = 132*h - 136*h for h. -1 Let m be 60/(-24)*764/(-10). Let d = m - 189. Let k be 6/4*8/3. Solve -2*s - 3*g - 6 = -d*g, 0 = s - k*g + 3 for s. -3 Suppose -5*r - 3*h + 37 = 0, 34 = -35*r + 37*r - 2*h. Solve 0 = -2*u + 5*j - 19, -9*j + r*j - 6 = 0 for u. -2 Suppose q - 116*d = -120*d - 16, -3*d = -4*q + 31. Let o be 9/2*(3 + -1). Suppose k - o = 3*a, q*k + 5*a + 0 = 2. Solve 2*u - 9 = 5*x, k*x = x + 4*u + 6 for x. -3 Let i(v) = -5*v**2 - 40*v + 49. Let j be i(-9). Solve f = j*y + 7, -19*f + 20*f - 2 = -y for f. 3 Let g be (-38)/5 - (-2)/(-5). Let b = 24 + g. Let m = b + -5. Solve -5*o = 5*p - 1 + m, -4*o + 22 = -2*p for p. -5 Let a(i) = -35*i + 1790. Let b be a(51). Solve -2*o - b*x - 35 = 0, -3 = -5*o + 4*x - 8 for o. -5 Let j(m) = 7*m**2 - 5*m - 28. Let x(f) = -3*f**2 + 3*f + 13. Let i(t) = -4*j(t) - 9*x(t). Let c be i(-6). Solve r - c + 2 = 2*d, d = 4*r - 17 for r. 5 Let c be 4/(-18) - 12/(-54). Let o = -113 + 117. Solve -5*h + 3*k - 8 = 0, -2*h + k - o*k + 1 = c for h. -1 Let j be (588/54)/(-7)*-9. Let q(t) = 11*t - 150. Let z be q(j). Solve 2*d + 2*d = z*b + 4, 5*d + 3*b - 29 = 0 for d. 4 Suppose 52 = -10*v + 12*v. Suppose -v = -2*z - 18. Solve 4*i - z*m - 8 = 0, 0 = m + 10 - 5 for i. -3 Suppose 4*c - 5*i - 7 = 0, 0*c + 6 = c + 3*i. Suppose 170 = -4*k + 178. Solve 3*d - 3 = d + h, k*h = -c*d + 15 for d. 3 Let i be 2*(4/(-20) + 3974/20). Let f = 402 - i. Solve 0 = -3*z - 0*z + f*q - 28, -z + 5*q = 26 for z. -1 Let b(m) = 6*m + 82. Suppose 4*a + 73 = -5*u, -4*u - a + 18 = 72. Let o be b(u). Solve 4*l - 3*d - 17 = -4, 2*l - o = 4*d for l. 4 Let y = 731 - 731. Solve 3*u = -0*o - 5*o + 29, 5*u + o - 19 = y for u. 3 Let b(g) = 11*g - 42. Suppose -5*s + 3*j = -14, 5 = 3*s + 2*j - 11. Let x be b(s). Solve -x*a = c + 2, -4*c - 31 = -4*a - 11 for a. 1 Let x be 182/(-5 + -8) - -40. Solve -5*c + 3*o = x, 4*o + 4 + 0 = -3*c for c. -4 Let s(u) = -u**3 + 49*u**2 - 55*u + 344. Let r be s(48). Solve t + r = 4*w, 2*t = 3*w - 4 + 3 for w. 3 Let q be ((-224)/(-42) - (3 - -1))*75/20. Solve -q*a = -4*k + 3, -27*a = -25*a - k for a. 1 Suppose 0 = -5*v + 15, 22*u - 18*u + v = 59. Solve 9*z - 4*l + 20 = 5*z, 3*z - 2*l = -u for z. -4 Suppose 0 = -413*b + 371*b + 588. Solve -b*c + 12*c - 2*x = 0, x = 5*c for c. 0 Let f(m) = -7*m**2 - 179*m - 95. Let n be f(-25). Solve 5*q - 4*z - 9 = 0, 0 = n*q - 12*z + 14*z - 33 for q. 5 Let u be -2*2/(-4) + 32. Let f = 14 + -29. Let n = u + f. Solve w + 2*w - 4 = -4*z, 3*w - n = 3*z for w. 4 Let p be 18/(-4)*(-140)/42*1. Solve -3*n = -5*o, 6*n - p = 3*n for o. 3 Let a = -1351 + 1355. Solve 4*u = -4*d + 5*u, -4*u = a*d + 20 for d. -1 Suppose -2*k = -3*m + 111 - 103, 0 = k - 2. Solve m*q - 30 = -q + 2*f, 5 = -5*q - 5*f for q. 4 Suppose 0*s - 90 = -5*s. Let p = 67 + -42. Suppose 4*v + 1 = 4*b + 29, 3*v - b = 15. Solve p = -l - v*l, j = 4*l + s for j. -2 Let x be ((-95)/38)/
{ "pile_set_name": "DM Mathematics" }
16*j + 302*j. 570*j Collect the terms in 173654 + 147534*v - 147534*v - v**2. -v**2 + 173654 Collect the terms in 2*a + 16 - 2 - 68011*a**2 - 26 + 10. -68011*a**2 + 2*a - 2 Collect the terms in -31*h**3 - 836 - 20*h**3 + 836 - 2*h**3. -53*h**3 Collect the terms in -1182*i - 1113*i + 4557*i - 1129*i - 1117*i. 16*i Collect the terms in 21254312 - 4888*y**2 - 21254312. -4888*y**2 Collect the terms in 64081*i**3 + 21887*i - 21887*i. 64081*i**3 Collect the terms in -4394*s**2 + 1101*s**2 - 66*s**3 + 1100*s**2 + 1096*s**2 + 1097*s**2. -66*s**3 Collect the terms in -65*f**3 - 9*f**2 + 4*f**2 + 6*f**2 - 223*f**3 + 6. -288*f**3 + f**2 + 6 Collect the terms in 38119*k + 32261*k + 23327*k - 5469*k. 88238*k Collect the terms in -277758 - 277799 - 11*k + 555557. -11*k Collect the terms in 490*u**3 + 491*u**3 - 48*u**3 - 934*u**3. -u**3 Collect the terms in 115*x**2 + 17*x**2 - 26*x**2 + 200*x**2. 306*x**2 Collect the terms in 1288*t**2 + 32794*t**3 - 32717*t**3 - 1287*t**2. 77*t**3 + t**2 Collect the terms in -341615*l**3 - 10*l**2 + 0*l**2 + 10*l**2. -341615*l**3 Collect the terms in -416*d + 24*d - 132*d + 528*d. 4*d Collect the terms in 320061518 + 31*n - 320061518. 31*n Collect the terms in -12177*c - 688*c - 3482*c. -16347*c Collect the terms in 6*w + 5 + 2*w**2 - 22 - 8*w**2 + 4*w**2 - 7*w**2. -9*w**2 + 6*w - 17 Collect the terms in 2*g**2 - 57830 + 28614 + 29216. 2*g**2 Collect the terms in -32072 + 64437 - 32053 - 4*p. -4*p + 312 Collect the terms in -16 - 7*i**2 - 33*i**3 + 34*i**3 + 16 - 4*i**3. -3*i**3 - 7*i**2 Collect the terms in -6933 + 10*c - 11*c - 6901 + 13856. -c + 22 Collect the terms in -14 + 39 + 88 + 474*o - 479*o. -5*o + 113 Collect the terms in 7544*t**3 + 70*t**3 + 1224*t**3. 8838*t**3 Collect the terms in 602*y**2 - 631*y**2 + 120*y**2. 91*y**2 Collect the terms in 239557605*a**2 + 2 - 119778832*a**2 - 119778826*a**2. -53*a**2 + 2 Collect the terms in 5487*n + 2633*n + 2 - 2 + 2643*n - 10782*n. -19*n Collect the terms in 41 - 70 + 5*i + 4*i + 47 - 6*i - 18. 3*i Collect the terms in 13*n**2 - 52706311 + 5*n + 52706311. 13*n**2 + 5*n Collect the terms in -467915*m + 1 + 467913*m - 9. -2*m - 8 Collect the terms in -781464*u**2 + 719894*u**2 + 61573*u**2. 3*u**2 Collect the terms in -461122*j + 922219*j - 461065*j. 32*j Collect the terms in 23*z - 11*z + 34*z - 25*z**2 + 67*z**2 - 18*z**2 - 23*z**2. z**2 + 46*z Collect the terms in -3471*p**2 + 23 + 1724*p**2 + 1761*p**2. 14*p**2 + 23 Collect the terms in -4049 - 4049 + 7*c + 12145 + 5*c - 4047. 12*c Collect the terms in 375*y - 1911*y + 378*y + 779*y - 4*y**3 + 379*y. -4*y**3 Collect the terms in -60*s**2 - 57*s**2 - s + 31*s**2 + 79*s**2 + s + 11*s**2. 4*s**2 Collect the terms in -203193*j - 175*j**3 + 203193*j. -175*j**3 Collect the terms in -626 + 168 + 159 - 10*o + 132 + 167. -10*o Collect the terms in 3*y - 225*y**3 - 3*y + 9*y**2 + 360*y**3 + 182*y**3. 317*y**3 + 9*y**2 Collect the terms in 975 + 442 + 14*y + 15*y - 3*y. 26*y + 1417 Collect the terms in -1 - 5 - 24185512*j**2 + 24185581*j**2. 69*j**2 - 6 Collect the terms in -280*p**2 - 148 + 75 - 24*p**2 + 73. -304*p**2 Collect the terms in -1962*u - 2203*u + 17825*u + 5 + 23. 13660*u + 28 Collect the terms in 9 + 6 - 5 - 7 - 619*y + 3 + 628*y. 9*y + 6 Collect the terms in -3571039*o**3 + 7142093*o**3 - 3571053*o**3. o**3 Collect the terms in -285*s**2 + 994*s**2 - 102*s**2 - 7825*s**2 + 2*s. -7218*s**2 + 2*s Collect the terms in -8589558*k**2 - 8589526*k**2 + 17179073*k**2. -11*k**2 Collect the terms in 38994*y - 23 - 32 + 80 - 25. 38994*y Collect the terms in -18*h**3 + 26*h**3 - 20101*h + 40207*h - 20106*h. 8*h**3 Collect the terms in -5 + 1992*d - 985*d**2 + 328*d**2 + 8 - 1. -657*d**2 + 1992*d + 2 Collect the terms in -861006 + 4*m + m - 2*m. 3*m - 861006 Collect the terms in 58 - 3051*a + 48 + 3074*a - 161 + 55. 23*a Collect the terms in -1 + 52*v + 1500*v**2 - 52*v - 725*v**2 - 795*v**2. -20*v**2 - 1 Collect the terms in 2*h**2 + 63734*h + 63060*h - 2*h**2 - 190528*h + 63734*h + 4*h**3. 4*h**3 Collect the terms in 813 - 180*v**2 + 188*v**2 - 812. 8*v**2 + 1 Collect the terms in -4*l - 8*l + 7*l**2 - 1332 + 21*l - 11*l. 7*l**2 - 2*l - 1332 Collect the terms in 467968 - 194*i**3 - 467968. -194*i**3 Collect the terms in 5*r**2 - 520142*r + 1040288*r - 1 - 520146*r + 1. 5*r**2 Collect the terms in 6242*x**3 - 6934843*x**2 + 6934843*x**2. 6242*x**3 Collect the terms in 7573*u**3 - 56550*u**3 - 66911*u**3. -115888*u**3 Collect the terms in 1647*s + 190*s + 497*s - 189*s. 2145*s Collect the terms in 2601210386 + 2601210381 + 2*q - 5202420767. 2*q Collect the terms in -50068 + 99475 + 0*p**3 + 2*p**3 + 2*p**2 + p**2 - 49727 - 2*p**2. 2*p**3 + p**2 - 320 Collect the terms in 245848*f + 681*f**2 - 2*f**3 - 681*f**2. -2*f**3 + 245848*f Collect the terms in -16 - 35*b + 30*b - 62*b - 35*b + 100*b. -2*b - 16 Collect the terms in 5934 + 5696 + 5948 - 2*o**2 - 17578. -2*o**2 Collect the terms in 6*i**3 - 140*i - 147*i + 8*i**3 - 135*i + 594*i - 172*i. 14*i**3 Collect the terms in -8 - 1 + 514332*x + 5 + 4 - 514335*x. -3*x Collect the terms in -96484*c - 96486*c - 96476*c + 289457*c. 11*c Collect the terms in 2065*p**2 - 813*p**2 + 2364*p**2 + 968*p**2 - 694*p**2. 3890*p**2 Collect the terms in -26008697736*r + 26008697736*r - 2 + 101*r**3. 101*r**3 - 2 Collect the terms in -10844 - 6103 + 16947 - 5*y. -5*y Collect the terms in 6473*r - 13013*r + 6545*r. 5*r Collect the terms in -5417134992 - 4*q + 5417134992 - 18*q. -22*q Collect the terms in 248*v**3 - 4 + 5 - 241*v**3 + 25989*v**2 - 2*v. 7*v**3 + 25989*v**2 - 2*v + 1 Collect the terms in -933380*x**2 - 520876*x**2 - 455531*x**2. -1909787*x**2 Collect the terms in -701370*y + 16 - 7 - 9. -701370*y Collect the terms in -4821*y**2 + 23180*y**2 - 13531*y**2 - 4827*y**2. y**2 Collect the terms in 753*a**2 - 4273*a**2 - 5734*a**2 - 1049*a**2. -10303*a**2 Collect the terms in -1512*i**3 - 4*i**2 - 1516*i**3 + 4530*i**3 - 1510*i**3. -8*i**3 - 4*i**2 Collect the terms in 270*y**2 - y - 786*y**2 - 1 + 1 + 270*y**2 + 278*y**2. 32*y**2 - y Collect the terms in 28*n - 10807*n**2 - 13158*n**2 - 29*n - 33960*n**2. -57925*n**2 - n Collect the terms in 17 + 0*p**2 + 3*p**2 + 5362*p - 5609*p. 3*p**2 - 247*p + 17 Collect the terms in 120*r**2 + 91907 + 58*r**2 - 183803 + 91896. 178*r**2 Collect the terms in 1476 - 2946 - 248*t**3 + 1468 - 397*t**3. -645*t**3 - 2 Collect the terms in 24*w**2 + 10*w**2 - 5958 + 11894 - 5936. 34*w**2 Collect the terms in 2*j**2 - 5*j**2 - 243 - 3*j + 4*j**2. j**2 - 3*j - 243 Collect the terms in -75 - 14*w - 4 - 9 + 39*w - 23*w + 14. 2*w - 74 Collect the terms in -65228360522 - 19*j + 65228360522. -19*j Collect the terms in 931408*d - 1862553*d + 931243*d. 98*d Collect the terms in -5*c + 0*c - 10*c + 3*c**2 - 3*c + 17*c + c. 3*c**2 Collect the terms in 623*z**2 + 52976*z**2 + 22554*z**2 - 13083*z**2. 63070*z**2 Collect the terms in -13293*l**2 - 13279*l**2 + 5 - 13116*l**2 + 39689*l**2 - 5. l**2 Collect the terms in 29 + 4909155*u - 4909156*u + 20 - 17. -u + 32 Collect the terms in -2*f**2 - 170*f + 1 + 160*f + 1. -2*f**2 - 10*f + 2 Collect the terms in 1791*o - 448*o - 4*o**2 - 449*o - 450*o - 444*o. -4*o**2 Collect the terms in 173*i + 684*i + 2*i**3 + 686*i + 753*i - 2296*i. 2*i**3 Collect the terms in 263 - 3*v - 264 + 17*v + 13*v - 30*v + 25*v + 29*v. 51*v - 1 Collect the terms in -10970 - 10957 - 4*t**2 - 10962 + 12*t**2 + 32889. 8*t**2 Collect the terms in 105*k + 2*k - 96*k + 165*k. 176*k Collect the terms in -29183 + 23446 + 28*j**3 + 5737. 28*j**3 Collect the terms in 17*c + 37*c - 1 - 8*c + 29*c - 106*c. -31*c - 1 Collect the terms in -125524*p**2 - 11*p**3 + 125524*p**2 + 186*p**3. 175*p**3 Collect the terms in 3208367557*c - 1604183783*c - 1604183777*c. -3*c Collect the terms in 1 + 74*h**3 + 44*h**3 - 238*h**3 + 93*h**3 + 0. -27*h**3 + 1 Collect the terms in 1526*x + 5*x**2 - 16*x**2 + 334*x + 2. -11*x**2 + 1860*x + 2 Collect the terms in -6841*q - 6833*q + 13674*q + 2 + 417*q**2 - 2. 417*q**2 Collect the terms in -42*r**2 - 303*r**2 - 146*r + 146*r - 673*r**2. -1018*r**2 Collect the terms in 1670 - 671 - 865 - 59*s**2 - 779 + 2*s**3. 2*s**3 - 59*s**2 - 645 Collect the terms in 24*q**2 + 3294*q**3 - 1487*q**3 - 1816*q**3 - 24*q**2. -9*q**3 Collect the
{ "pile_set_name": "DM Mathematics" }
) = b**3 - 24*b**2 + 36*b - 40. Is c(23) prime? False Suppose 6*h = 1387 + 2855. Is h a prime number? False Let o(d) = 2*d**2 + 6*d + 3. Let f = 9 + -4. Is o(f) composite? False Suppose 6*z + 2*z - 36376 = 0. Is z composite? False Is 113 + (-3 - -6) - -3 a prime number? False Suppose -953 = -5*r - s, -r + 565 = 2*r + 4*s. Suppose -2*n + r = -n. Is n composite? False Let o(v) = 6*v + 2. Let c be o(-5). Let i = c + 14. Let r = i + 24. Is r prime? False Let w(b) = -b**3 - 8*b**2 - 2*b - 2. Let t = -16 + 7. Is w(t) a prime number? True Suppose -j - 2*j + 1590 = -w, j + 5*w - 514 = 0. Is j a prime number? False Let v(u) = 6*u**2 - 4*u + 4. Is v(3) a prime number? False Let v(d) = d + 47. Suppose 0 = -2*y + 6*y. Is v(y) prime? True Suppose -o - 266 = -3*o. Let h = o + -46. Is h a prime number? False Suppose -o - 5*u + 406 = 0, -u - 3*u = 2*o - 842. Is o prime? True Let a be -1 + 0 + -1 + 10. Let n = -1 + a. Is n a prime number? True Suppose 0 = -5*d - 21 + 1. Let p(g) = g**2 + 2*g - 3. Let j be p(d). Suppose 2*o - 445 = -j*v + 662, 3*v - 4*o - 659 = 0. Is v a composite number? True Let w = 14 - -279. Is w a prime number? True Let t(d) = d**2 + 9*d - 10. Let f be t(-10). Suppose 5*r + 12 = 4*w - 54, -4*w - r + 78 = f. Is w composite? False Suppose 6 = 5*m - 24. Suppose -w + f + 85 = 0, m*w - w - 429 = 3*f. Is w prime? False Is 3 + (-326)/(-3 + 2) a prime number? False Suppose 0*g = -g + 77. Is g prime? False Suppose -5*a - 10 = 0, 2*t + t - 4*a = 14. Suppose -2*c + 112 = t*w, w + 4*c - 62 = 5*c. Is w prime? True Suppose 9*r - 5*r - 8 = 0. Suppose -f - 2*g + 159 = 0, -6*f + 654 = -r*f - g. Is f composite? False Suppose -69 + 14 = 5*q + 3*r, -15 = 3*r. Let w = 5 - q. Is w prime? True Let z(o) = -4*o - 5. Let n be z(-2). Suppose -y + 40 + 106 = v, -5*y + n*v + 706 = 0. Is y a composite number? True Suppose -1751 - 1087 = -6*b. Is b prime? False Let n = 188 + -9. Is n a composite number? False Let m = 1 - -2. Suppose 5*k - 68 = -l, -m*k + 5 = -4. Is l prime? True Let f(o) = 10*o**3 - 7*o**2 - 6*o + 11. Is f(6) prime? False Let h = 898 + -489. Is h composite? False Let s = -927 + 1850. Is s composite? True Suppose 5*g - 5*f - 1065 = 0, -5*g = -3*f - 810 - 251. Is g a composite number? False Let x(n) = -8*n**3 + 3*n**2 - 4*n + 1. Let g(u) = 9*u**3 - 4*u**2 + 5*u - 1. Let r(j) = -5*g(j) - 6*x(j). Is r(3) a composite number? True Let b = -16 + 31. Suppose 2*f - b = -f. Suppose 0 = -5*i + 20, f*h - i = 15 + 46. Is h a prime number? True Suppose n = 5*k + 22, 0 = -4*k - 0*k - 16. Suppose n*f + f = 33. Is f a prime number? True Let f be -1 + 1 + (5 - 2). Suppose f = 5*w + 13. Is -89*w/((-4)/(-2)) prime? True Let i be (-1772)/(-8) - 2/(-4). Suppose i = 2*x - 0*x - f, 4*x + 5*f = 472. Is x a composite number? False Suppose -4*j = -0*d + d - 345, -4*d - 82 = -j. Suppose 3*k + 2*x - 16 = 3*x, k - 7 = 2*x. Suppose 2*b + 34 = a - 7, k*b = 2*a - j. Is a a composite number? True Let a(k) = 10*k**3 + 28*k**2 - 26*k - 45. Let j(m) = -3*m**3 - 9*m**2 + 9*m + 15. Let y(b) = 2*a(b) + 7*j(b). Let l = 78 - 88. Is y(l) a composite number? True Is 16/40 - (-3363)/5 a composite number? False Let m(p) = 6*p - 1 + 2 - 2*p**2 + 5 - p**3. Is m(-5) a composite number? True Let m be (-6)/2*(0 - 162). Let d = m - 287. Is d composite? False Let a = -1 - 211. Let l = a - -479. Is l a composite number? True Let d = 4858 + -3316. Suppose 5*t - 2*t = d. Is t prime? False Let v = -735 - -1628. Is v prime? False Let x(z) = -540*z + 1. Is x(-1) a prime number? True Let u be -6 - (-1)/(1/2). Is 2 - u/((-8)/(-258)) composite? False Let y(f) = -f**3 + 2*f**2 + 4*f + 2. Suppose 0 = -5*j + 3*j - 4*t, 0 = -2*j + t. Suppose 5*d + 27 = -5*s - 3, j = -s + 2*d + 6. Is y(s) a composite number? True Let x = 5416 - 482. Is x composite? True Suppose 1420 = -t + 5*t. Is t composite? True Suppose -5*a = -5*w + 30, 2*w + 5*a = 6*w - 27. Suppose 0 = w*g - 277 - 212. Is g composite? False Let c(h) = 17*h**2 + 2*h - 2. Let n be c(-5). Suppose 2*w = -3*s + n, -3*s - 548 = -4*w + 305. Is w composite? False Let o(j) = j + 13. Let l be o(-10). Let f(b) = -b**2 + 7*b**3 + 2*b + 2*b**2 - 7 + 6. Is f(l) prime? False Let v(h) = -h**3 + 3*h**2 + 3*h + 3. Let g = -7 + 10. Let j be v(g). Suppose -31 = -l - j. Is l prime? True Let b be (-3 + 5)*213/(-2). Let n = -86 - b. Is n composite? False Let v(g) = g + 65. Is v(0) prime? False Let x(v) = 13*v**2 - v - 1. Let q be 3/(-7) + 22/(-14). Is x(q) prime? True Let i(f) = -f**2 - 6*f - 4. Let a be i(-5). Suppose 5*z + 3*v = 118, -57 = -2*z + v - a. Suppose 0 = -4*s + 5*l - 23 + 155, -s + 3*l + z = 0. Is s prime? False Let i(c) = -12*c**3 + 2*c**2 + 2*c - 1. Let m be i(-2). Let b(y) = -y**2 - 7*y + 6. Let d be b(-6). Is 4/1*m/d a prime number? False Let r(f) = f**3 - 7*f**2 - f + 10. Let s be (2 - -1) + 4/1. Let z be r(s). Suppose -z*g + 425 = 2*g. Is g a prime number? False Let a be (-1 - -49)*(-1 + 0). Let u(v) = 21*v**2 + 2*v - 1. Let m be u(2). Let y = m + a. Is y a prime number? False Suppose 0 = -g - 0*g + 11. Is (-207)/(-11) - (-2)/g a prime number? True Let w(y) = -y**2 + 13*y - 6. Let k be w(12). Let n = k - 3. Suppose -n*x + 2*x = -91. Is x composite? True Let p(y) = -5*y + 11. Let i be p(9). Let c = i + 59. Suppose 285 = 4*b + c. Is b prime? False Is (4 + 1245/10)*2 composite? False Suppose 2*y + 2*d - 2947 = -y, -d = -2*y + 1953. Is y a composite number? True Let o be 2 + -3 + 2 + 3. Suppose 5*d = 5*k - 420, -100 = -5*k + 4*k + 5*d. Suppose -4*l + k = o. Is l a prime number? True Suppose -4*v + 5*l = -0*v - 84, -42 = -2*v + 5*l. Is v prime? False Suppose c = -0*c. Suppose 0*g - g + 157 = c. Is g composite? False Let n = -685 + 1022. Is n composite? False Let t be (-2)/10 - (-8)/40. Is (109 + (t - -1))/2 composite? True Suppose 1 - 21 = -4*m. Suppose -2*o + m*o = -75. Is (-3940)/o + (-3)/5 composite? False Suppose q = 5*q - 5*z - 1201, -4*z - 4 = 0. Let o = q + 284. Is o a prime number? False Suppose 5*a - 4001 = -2*t - 476, a + 4*t - 687 = 0. Is a prime? False Suppose 3*l + 5027 = 4*y, 4*l = 6*l - 6. Is y a prime number? True Let d = 247 - 128. Is d a composite number? True Let r(p) = 3*p**2 - p - 5. Is r(-7) a composite number? False Let a(c) = -c. Let l be a(-4). Suppose i = 5, -17 = -2*w - l*i + i. Let m = 32 - w. Is m prime? True Let z(b) = b - 7. Suppose -u + 4 = -0. Let p be z(u). Is 166 + p - 2 - -2 a prime number? True Let f be (-12)/(-18) - 4/(-3). Is (-3)/3 - -7*f prime? True Suppose 228 = 4*n + 3*d - 4*d, 5*n - 285 = 4*d. Is n a prime number? False Let t = 20 - 17. Let c(q) = 3*q - 1. Let h be c(3). Suppose -t*j = -65 + h. Is j composite? False Is 3*1/(-3)*-8691 a composite number? True Is (4 - 2 - 0)*446/4 a composite number? False Let w = -1 - -4. Suppose -5*k - w*x + 6*x = -44, -4*x + 8 = 0. Is k a composite number? True Suppose -9 - 15 = 4*w. Let c(l) = -l**3 - 3*l**2 - 5*l + 7. Is c(w) a composite number? True Suppose -5*d - 215 = -0*d. Let h = 4 - d. Is h composite? False Let h(l) = -l**3 - l**2 - l + 107. Let r be h(0). Suppose -4*s + 57 = -r. Let b = s + -16. Is b a prime number? False Let r be (-15)/10*2/(-3). Let h be (r - 2)/((-2)/42). Let o = h - 10. Is o a prime number? True Suppose 2*h - 4*h = -4*g + 14, 2*h = -2. Let k be (4 - 2) + g - 1. Suppose 2 + k = 2*v. Is v a prime number? True Suppose -7*i + 1055 = -2*i. Let c = i - 124. Is c prime? False Let a(j) be the first derivative of -j**4/2 - 2*j**3/3 - 3*j**2/2 + 2*j + 7. Is a(-5) a prime number? False Suppose -2*q - 3*k + 11 = 0, 0*q + 3*k = -5*q + 14. Let s be 3 - 2*q/(-2). Suppose 0 = w + 4*y - 119, 5*y - 39 = -s*w + 459. Is w a composite number? False Suppose 0 = -h + 5*c - 8, 2*h = -h + 3*c. Let b be (2/4)/((-1)/(-6)). Is 1/(h/54*b) a prime number? False Let y = 272 - -177. Is y composite? False Let g = 21 + -13. Suppose 4*a - 5 = -1. Is ((-92)/g)/(a/(-10)) composite? True Suppose 5*f + r = 2951, 4*f - f - 3*r - 1785 = 0. Is f a composite number? True Is (-9)/6 + (-1002)/(-4) a prime number? False Let c = -4 - -4. Let q be -3*(-1 - 2) + c. Let a = 110 + q. Is a a composite number? True Is (-1857)/(-21) + 4/7 composite? False Let j(k) = k**2 - k + 1. Is j(-5) prime? True Let k = -16 + 19. Suppose -k*r + 73 = -92. Is r a prime number? False Suppose 0 = 4*o + 5*l - 4453 - 2454, -3*l + 6
{ "pile_set_name": "DM Mathematics" }
the common denominator of 2 - 4 - 8/(-22) and (-2 - 54/(-33))/((-300)/330). 55 Let y = -59374645/312 + 190303. Find the common denominator of 61/78 and y. 312 Let l(z) = -z**2 + 4*z - 6. Let i be l(6). Calculate the common denominator of -43/24 and i/8 - -2 - (-154)/(-168). 24 Calculate the common denominator of -43 + 53 + 1266/(-128) and -85/96. 192 Let w(m) = -m**2 + 5*m - 20. Let n be w(6). Let t = n - -36. What is the lowest common multiple of 12 and t? 60 Let j = 1639/130 - 95/13. Suppose -4*n + 2*n - 2*o - 40 = 0, 3*o = -n - 12. What is the common denominator of (-1)/(-2)*(-279)/n and j? 80 Let p be 90/(-1376) - (-2 + 1). Let j = p - -38/129. Let r = j - 2329/528. What is the common denominator of 29/8 and r? 88 Let t be (-206648)/(-126) + 5 + (-148)/28. Let f = -1643 + t. Find the common denominator of f and 7/10. 90 Suppose -j + 2*p = 6, -2*j + 0*p - 18 = -p. Calculate the least common multiple of 16 and (-1 + -13)*j/7. 80 Let r(m) = -m**3 - 8*m**2 - 9*m - 4. Let y be r(-7). Suppose 0 = 2*z - 2 - y. Calculate the common denominator of (-888)/128 - z/(-2) and -1/4. 16 Let g = -82 - -160. What is the least common multiple of g and 27? 702 Suppose -u - 2*u = 2*d - 8, -2*d - u + 4 = 0. Find the common denominator of d*((-89)/(-24))/(1/(-2)) and -151/12. 12 What is the common denominator of 59/128 and (-164)/(-20992)*(1 - 242/(-6))? 384 Find the common denominator of -37/297 and 10/12 + -1 + (-136)/(-132). 594 Let y = -231/4208 + -2/263. Let j be 12170/2232 + (-2)/(-2). Let h = j - 10/279. Find the common denominator of y and h. 48 What is the common denominator of 59/16 and (-4)/10*(-7000)/616? 176 Let w be ((-65)/15)/((-1)/18). Let y be 2 + (-10901)/w + -1. Let l = 2118/13 + y. Calculate the common denominator of l and 31. 6 Suppose -112 = -5*a - 22. Suppose -3*t + 12 = -a. Calculate the smallest common multiple of 6 and t. 30 Let i be (-2)/(-1) + 42900/9248. Let r = i - 4/289. Let k = -14151/14 + 1004. Calculate the common denominator of k and r. 56 Suppose 4*q = 4*w + 24, -3*q + q - w = 0. Calculate the lowest common multiple of 2 and q. 2 Let q(b) = -3*b - 15. Let p be q(-10). Calculate the common denominator of 2025/108 - (-2 + 0) and 2/8*320/p. 12 Suppose -2810 = -44*g + 1942. What is the least common multiple of 156 and g? 1404 Suppose -3*v = -d - 0*d + 31, -3*d + v + 61 = 0. Suppose 5*u + 2*a = 103 - d, 0 = -4*a - 12. What is the least common multiple of u and 15? 90 Suppose -1586 = -34*p - 56. Calculate the least common multiple of 20 and p. 180 Let p(q) = 4*q + 175. Calculate the smallest common multiple of p(-40) and 135. 135 Let v(i) = -11*i - 1. Let j = 44 + -22. Let w = j + -15. What is the smallest common multiple of w and v(-1)? 70 Calculate the common denominator of -2 + (-771)/120 + (-5)/(-40) and -115/204. 1020 Suppose -3*v = -3*t + 6, -t = -2*v + 4*v - 11. Suppose t*g + 222 = -53. Find the common denominator of -4 + g/(-8) + 1 and -51/22. 88 Suppose -165 + 225 = 3*j. What is the lowest common multiple of 232 and j? 1160 Let l = 77 + -68. What is the least common multiple of 4 and l? 36 Let w = -8481 + 186507/22. Find the common denominator of w and -75/506. 506 Let j(t) = -t**2 + 7*t + 2. Suppose 5*k - 12*k + 7 = 0. What is the least common multiple of k and j(7)? 2 Let w be (-47909)/(-230) + 1/(-2). Let l = -209 + w. What is the common denominator of l and 85/2? 10 Suppose 13 - 1 = 3*z, -4*z = t - 18. Suppose -2*w - 3 = -9. Suppose w*y - 10 = t. Calculate the smallest common multiple of 6 and y. 12 Let r = -225 + 235. Calculate the lowest common multiple of 1 and r. 10 Let t = 5162 + -41213/8. Calculate the common denominator of t and -71/104. 104 Suppose d = 2*d - 4*m, 5*d + 2*m = 22. Suppose -4*j - 5*t = 1, 4*j + 3*t - 3 = j. Calculate the smallest common multiple of (4 - 16/6)*j and d. 8 Let h(v) = v**3 - 8*v**2 + 10*v - 11. Let r = -12 - -17. Suppose -r*d - 21 = -71. What is the least common multiple of d and h(7)? 10 Let i = -3 - -7. Suppose 0 = 4*o - i*j + 104 + 136, -3*o + 4*j = 176. What is the common denominator of 6/5 and 2 + (-8)/(o/(-42))? 20 Let r be -3 + -33*648/(-7132). Let a = r - 222821/32094. What is the common denominator of 19/18 and a? 18 Let n(y) = y**3 + 10*y**2 + 12*y + 2. Let r be n(-8). Suppose -4*j = -2*f - 64, -4*f + 6 = 4*j - r. What is the least common multiple of 2 and j? 14 Suppose 6*g = 2*g + 88. Suppose 133*m - 131*m + 32 = k, 5*k + 5*m = 70. What is the least common multiple of k and g? 220 Let d = 17133/10 - 1716. What is the common denominator of 17/434 and d? 2170 Suppose -4*t - 3*d = -22, -2*d - 7 = -3*t + 18. Let m be 2/4*-8 - -13. What is the lowest common multiple of 5 - 3*(-3)/m and t? 42 Suppose -2*j - 3 = 3. Let a(k) = k**3 + 4*k**2 + 3*k + 3. Let u be a(j). Suppose g = n + 5 - 21, u = -g. Calculate the least common multiple of n and 5. 65 Let a = 16085 + -482701/30. Calculate the common denominator of 74/3 and a. 30 Let s = 12902801/252 + -51202. Find the common denominator of s and -23/24. 504 Let a = -213 - -229. Calculate the least common multiple of a and 12. 48 Let a = 215303381/20 - 10776621. Let g = a - -11449. Find the common denominator of (-99)/(-2) - 3/3 and g. 20 Suppose -2*v + 2*r = -178, 3*r - 370 = -3*v - v. Let t = -37000/9 + 4106. What is the common denominator of t and 1726/84 + 1 - (-26)/v? 18 Suppose 6*z - 3*z = 114. Suppose 0*x - 5*j = 2*x + z, -6 = 3*j. Find the common denominator of ((-185)/10)/(x/(-4)) and 22/25. 175 What is the smallest common multiple of 70 and 51/5*1 + 148/(-740)? 70 Calculate the common denominator of -53/32 and (-165)/110 + 163/80. 160 Let m = -292 - -300. What is the smallest common multiple of m and 132? 264 Find the common denominator of ((-1911)/(-260) - 7) + -1 + 3 and -125/162. 1620 Let p = 105371/26100 - -114/725. Find the common denominator of p and -1/51. 612 Let x = -59 + 107. Suppose -10*f + 2*f = -x. Calculate the least common multiple of f and 8. 24 Let v(o) = -o**2 - 4*o + 20. Calculate the least common multiple of (0 + -1 + 3)*7/14 and v(-6). 8 Suppose -242*x - 504 = -249*x. What is the lowest common multiple of x and 4/(-10) - (-84)/10? 72 Let m = -61568729/10 - -6162481. Let a = -5620 + m. Calculate the common denominator of a and 25/4. 20 Let d(s) = -s**3 + 10*s**2 - 20*s - 2. What is the smallest common multiple of 92 and d(6)? 1012 Let v be 1/3 + (-28)/(-6). Suppose 0 = v*m - 6*m - 4. Calculate the lowest common multiple of 10/1*m/(-10) and 8. 8 Suppose 5*a - 192 = a. Let p be 2*(4/(-8) + 2). Suppose p*c - 44 = -4*m, -4*m - 4*c + 27 = -21. Calculate the least common multiple of a and m. 48 Let v(l) = l**2 - l - 23. Let i = 93 + -98. Calculate the smallest common multiple of v(i) and 11. 77 Let r = -45879 - -3028081/66. Calculate the common denominator of -40/121 and r. 726 Suppose 183*i - 178*i - 20 = 0. Suppose i*g - 90 = 50. What is the common denominator of g and 31? 1 Let x = 235487/16 - 14723. Calculate the common denominator of -9/44 and x. 176 Let d = 34213/27 - 1267. Find the common denominator of -11/162 and d. 162 Suppose -q - v + 2 + 7 = 0, 3 = -3*v. Calculate the smallest common multiple of q and 24. 120 Let r(c) = -c**3 - 2*c**2 - c. Let l be r(-1). Suppose 3*j - j = l. What is the common denominator of (-86)/(-22) - j/(-16) and -5/11? 11 Let a = 2/29496384057 - 1349331752953483/147186956444430. Let r = -2/2495 - a. What is the common denominator of r and -1/11? 66 Let n(h) = -221*h**3 + 2*h**2 + 2*h - 1. Let t be n(2). Let w = t + 26369/15. Calculate the common denominator of w and 1/5 + 594/80. 120 Let z = -1/1356 + -11521/6780. Let f = -3/7 + -152/21. What is the common denominator of f and z? 30 What is the lowest common multiple of 342 and (1/(-2))/(6/(-323 - 1))? 1026 Suppose 4*c - 3*y = -12, -5*y - 12 = 6*c - 2*c. Find the common denominator of (-1 + 2)*(12/22)/(-2) and (-354)/8*2/c. 22 Suppose 3 + 1 = 2*k. Calculate the common denominator of (-8)/12 + k/(-132) and -131/18. 198 Let s = -6 - -10. Let x(i) = i + 8. Let b be x(-6). Suppose m - 15 = 4*a, b*m - 3*a - 26 = a. Calculate the least common multiple of s and m. 44 Suppose -6*u - 78 = -9*u. Calculate the least common multiple of u and 4. 52 Let f(d) = d**2 - 1. Let w be f(-2). Let y(r) = r**3 - r**2 - 7*r + 6. Let p be y(w). Wha
{ "pile_set_name": "DM Mathematics" }
is the second smallest value in -49, -1, 5, -7, 7, -0.2? -7 Which is the third biggest value? (a) -30/19 (b) -2/3 (c) 2/37 a What is the fourth smallest value in -11696, 1, 6/11, -4/5? 1 What is the third smallest value in 0.0172, 0.108, 2/63? 0.108 Which is the fourth smallest value? (a) -14 (b) 2/3 (c) 352/3 (d) 1 (e) -2/35 (f) 0.4 b What is the fourth biggest value in 14/5, 0.2, 398, 3/13? 0.2 What is the third biggest value in -41, -3.8, 4? -41 Which is the second biggest value? (a) -397.8 (b) 0.2 (c) 0.5 (d) -4 (e) 3 c What is the third smallest value in 9, 2, 6496, 5? 9 What is the biggest value in -0.3, 1/64, -2, -40? 1/64 Which is the fourth smallest value? (a) -10/3 (b) 6.2 (c) 13 (d) -2/5 c Which is the fourth biggest value? (a) -5 (b) -3 (c) 0 (d) 29 (e) 2 (f) 2/15 c What is the fourth smallest value in -1, 388, 10, 3? 388 Which is the third smallest value? (a) 155 (b) -8/9 (c) 3/7 (d) -57 c What is the smallest value in 27, -0.0123, -0.2? -0.2 What is the biggest value in 3, 4/3, 3557? 3557 What is the third biggest value in 269, 0.2, 27? 0.2 Which is the biggest value? (a) -4/5 (b) -2/13 (c) 39/34 (d) 9/2 (e) -0.4 (f) 0 d Which is the second biggest value? (a) -2 (b) -23150 (c) -21 c Which is the second smallest value? (a) 506 (b) 1/310 (c) 0.4 c What is the third biggest value in -63, 0.2, -87, 1? -63 What is the second biggest value in 0.2, -7071/2, 2/15, -2/3? 2/15 Which is the sixth smallest value? (a) 0.1 (b) -0.09 (c) -4 (d) -0.6 (e) -1/2 (f) -2/13 a Which is the third biggest value? (a) -6/539 (b) 15 (c) 1 a What is the third biggest value in -3, 2/17, -7? -7 What is the second biggest value in -4, 4/13, 0.4, 2/339, -1? 4/13 Which is the sixth biggest value? (a) 9 (b) -0.1 (c) -1/3 (d) -3/8 (e) -25.03 (f) 3 e Which is the second smallest value? (a) 3/4 (b) 2/9 (c) -646 (d) -2/73 d What is the smallest value in 0.083, 0.1, -9.1, 2/5, 2? -9.1 What is the smallest value in -5, -26, -2, 5, 3? -26 What is the second smallest value in -1, -5, 86.4, -0.5, 1? -1 Which is the fourth biggest value? (a) -0.46 (b) -0.102 (c) 14 (d) -3/8 a Which is the second biggest value? (a) 0.1 (b) -1 (c) 3/13 (d) 0.9 (e) 13.5 d What is the fifth smallest value in 92, -0.1, -2, 5, 2? 92 Which is the fifth biggest value? (a) -2/3 (b) 5 (c) -505 (d) 6 (e) 16 c Which is the biggest value? (a) -0.558 (b) 1/7 (c) 5 c What is the third biggest value in 63, -0.5, -7677? -7677 Which is the third biggest value? (a) 3 (b) -78 (c) 4.722 b What is the biggest value in -5, -6484, 191? 191 What is the third smallest value in 930, 0.5, -4, -0.1? 0.5 What is the biggest value in -3/8, -3, -0.02, -2, -1? -0.02 Which is the third smallest value? (a) 2/9 (b) 0 (c) 5 (d) -1.41 (e) -1/3 b What is the second biggest value in 132, 6, 2, 11/2, 0.2? 6 Which is the second biggest value? (a) 33 (b) -1/15 (c) -12 (d) 0 (e) 5 e Which is the smallest value? (a) -20/9 (b) 0.1 (c) -1.2 a Which is the second smallest value? (a) 0 (b) -3.33 (c) -795 b What is the biggest value in 0, -111, -0.5, -5/22? 0 What is the second biggest value in 53, -2/25, 2/7? 2/7 What is the fourth smallest value in 2, -27.3, 9, 3/5, -2/5, -2? 3/5 Which is the second biggest value? (a) 16627 (b) 0 (c) -16 b Which is the sixth smallest value? (a) 1 (b) -1/6 (c) -5 (d) 0 (e) 0.09 (f) 0.03 a What is the fifth smallest value in -255, 9, -0.1, -0.32, 1/8? 9 What is the biggest value in -0.0363, -29, -0.5, 1, -3? 1 Which is the second smallest value? (a) -6 (b) -3 (c) 5 (d) 4/45 (e) 1 (f) 4 b Which is the third smallest value? (a) -10 (b) -4.5 (c) 35 c Which is the third smallest value? (a) -0.02 (b) -113.41 (c) -1 a What is the biggest value in -0.2, 2/7, -29, -125? 2/7 Which is the third biggest value? (a) 1.7 (b) -3 (c) -2/171 (d) -3/7 d Which is the smallest value? (a) 20.5 (b) -1.3 (c) 0.1 (d) -0.01 b What is the second biggest value in 20, -1, -9, -0.3, 3? 3 What is the smallest value in -4, 19, 3, 1/5, -1, -3/2? -4 What is the third smallest value in -1/18, 5, -6/5, -0.3, -0.1? -0.1 What is the smallest value in 18, 0.1063, -128? -128 What is the fourth smallest value in 2, -0.4, -2, -679, -1/3? -1/3 What is the second smallest value in -16, -60, -1/10, -4/9? -16 Which is the fifth biggest value? (a) -2/5 (b) -16/9 (c) 2/9 (d) 2/2449 (e) 0.4 b What is the smallest value in 6335/3, -0.5, 11? -0.5 Which is the second biggest value? (a) 10/7 (b) 1/58 (c) -37 b What is the second smallest value in 3, 5, 8, -5? 3 What is the third biggest value in -23.54, 2/61, -4? -23.54 What is the second biggest value in 10, -2556, -2/7? -2/7 Which is the second smallest value? (a) 2/3 (b) -1/3 (c) 7 (d) -700 b What is the fourth biggest value in -0.379, -1, -6, 7? -6 What is the fourth smallest value in 5, 7/9, 0.141, -4/7? 5 Which is the third biggest value? (a) -5 (b) 1/2 (c) -1/2480 a What is the biggest value in -5, 3/43, -2/233? 3/43 Which is the biggest value? (a) 2/197 (b) -12/43 (c) -1/4 a Which is the biggest value? (a) 10/11 (b) 825 (c) -1/4 b What is the third smallest value in 3/4, 4/3, 543307? 543307 What is the biggest value in -2/9, -18, -2, 2/25? 2/25 Which is the second smallest value? (a) 4 (b) 0.4 (c) 45 (d) 1/3 (e) 31/3 b What is the biggest value in 70.449, -5, 4? 70.449 What is the third smallest value in -0.14, -3/4, -2/33, 568? -2/33 Which is the third smallest value? (a) 26 (b) -8 (c) 38.3 c What is the biggest value in -50, -0.2, -1215? -0.2 Which is the sixth biggest value? (a) -39 (b) 0.1 (c) 0 (d) 5/2 (e) 0.2 (f) -163/11 a What is the fourth smallest value in -6, -5, 1, -2? 1 Which is the second smallest value? (a) -129/7 (b) 2/7 (c) -0.3 (d) 5 (e) -60 (f) -1 a What is the second biggest value in -141, 0.3, -3.866? -3.866 What is the third smallest value in 0, 3, -0.5, -4.2582? 0 Which is the fifth biggest value? (a) -4 (b) -2/7 (c) 2 (d) 0.5 (e) 2/21 (f) -0.0875 b Which is the fifth smallest value? (a) 2 (b) -0.128 (c) -4 (d) 1 (e) 0.3 a Which is the second smallest value? (a) 90992 (b) 2 (c) 0.5 b What is the smallest value in -1, -6/5, 5, 3, -4? -4 What is the third smallest value in -1/5, 1/3, -30, -2? -1/5 Which is the biggest value? (a) 3 (b) 2 (c) -49160 (d) 1/4 a What is the biggest value in -3/7, -4/7, 0.2, 0.7, 2.129, 0? 2.129 Which is the smallest value? (a) 20 (b) -0.02 (c) 11.1 (d) 3/5 b Which is the second smallest value? (a) -1/6 (b) 4/9 (c) 2 (d) 2412 (e) -0.4 a What is the biggest value in 2/17, -159, -12/491? 2/17 What is the fifth smallest value in -3/2, 3/7, -1/7, -6, 9, -9? 3/7 Which is the second smallest value? (a) 2/19 (b) 1976/87 (c) 0.1 a What is the third smallest value in 0.4, 4/3, -4, -0.0986? 0.4 What is the smallest value in 0.1, -54/49, 1/2, -2/15? -54/49 What is the fifth smallest value in 8, 1, -0.2, -218, 2? 8 What is the second biggest value in 0.06, 1/10, 11129? 1/10 Which is the second smallest value? (a) -4 (b) 2755 (c) 1/2 c Which is the second biggest value? (a) 0.1 (b) 2/3 (c) 3530 (d) 2.1 (e) -6 d What is the sixth biggest value in -0.9, -3, -23, -18, 4, -2/5? -23 What is the fourth smallest value in 0.12, -2/3, 21, 3/2, 3/16? 3/2 What is the biggest value in -9.6, 2, -15? 2 Which is the third smallest value? (a) -5 (b) 7/512 (c) 1/6 (d) 2/11 (e) -1/5 b What is the fourth smallest value in -0.5, 2/785, 0.2, -3, 0.4, -1/11? 2/785 What is the fourth smallest value in -2/9, -4, -15/11, 5/2, -7? -2/9 Which is the third biggest value? (a) -19 (b) -7 (c) -6 (d) -0.9 b What is the fifth smallest value in -6, -11/7, 3, 0.1, 2? 3 What is the biggest value in 6, -5, -0.9, -1/2, 14? 14 What is the fourth smallest value in -2/7, 0.157, 17, -5/2, 3? 3 What is the second smallest value in -1.5, 4, 3, -0.5, 67? -0.5 What is the second smallest value in -0.5, 1/2793, 0.3, -13? -0.5 Which is the third biggest value? (a) 5 (b) 12 (c) 0.158 (d) -0.03 c What is the third smallest value in 1.1, 42, -4, -0.24? 1.1 What is the fourth smallest value in 3/8, -6/17, -0.0362, 0.2? 3/8 Which is the third smallest value? (a) 3 (b) 92 (c) -5/6 b What is the bi
{ "pile_set_name": "DM Mathematics" }
- 8*x + 3*x) + 1 + x - 1. -661*x Expand (0 - 1 + 2)*(0 + 0 + 1)*(-4 + 2 + 9)*(-42*n**2 + 30*n**2 - 58*n**2)*(-2 - 3 + 6). -490*n**2 Expand -4*v - 3 - v + 2 - 1 + 1 - 3*v + (-2*v + 2*v - v)*(-2 + 4 - 1) - 3*v + v + 0*v. -11*v - 1 Expand (-25*n - 344*n - 24*n)*((-1 - 3 + 3)*(3*n + n - 2*n) - 3*n - 2*n + n) + (-2*n + n + 2*n)*(3 - n - 3) + 3*n**2 - n**2 + 0*n**2. 2359*n**2 Expand (34 - 25 + 933*r - 260*r - 9)*(-1 + 6 - 3). 1346*r Expand (7 - 6 + 31*p**4 - 9*p - 14*p**4)*(p + 4 - 4). 17*p**5 - 9*p**2 + p Expand (k**2 - 3*k**2 + k**2 + (k + 2*k - 4*k)*(k - 4*k + k) + 2*k**2 - 4*k**2 + 4*k**2)*((-4*k + 4*k - k)*(8 + 5 + 0) + 2 - 2 - 3*k). -48*k**3 Expand (v**2 + v**2 + 2*v**3 + v**3)*(-332*v + 332*v + 41*v**2). 123*v**5 + 82*v**4 Expand (2*i - 3 + 3)*(2*i**2 - 2*i**2 + i**2) + 43*i**3 + 32*i**3 - 50*i**3 + 0*i**3 - 2*i**3 + 3*i**3 - 2*i**3 - 2*i**3 + 7*i**3. 31*i**3 Expand (0 - 8 + 0)*(1 - 5 + 2 + (2 + 1 - 1)*(-2 + 1 - 1))*((-2*s**2 - 12*s + 12*s)*(-2*s - 3*s + 7*s) - 3*s**3 - s**3 + 2*s**3). -288*s**3 Expand -23 - 26*g**2 + 23 + (-2*g + 2*g + g**2)*(1 + 0 - 3). -28*g**2 Expand (-2 + 6*j + 2)*(-26 + 9 - 6). -138*j Expand 3*n - 2*n + 2*n + (-4 + 2 + 1)*(0*n + 3*n - n) + 2*n + 0*n - 4*n - 2*n + 10*n + 21*n. 28*n Expand (0*f**2 + 0*f**2 - 2*f**2)*((-7*f**2 - 7*f**2 - 5*f**2)*(-2*f - f + 2*f) + 5*f**3 - 2*f**3 + 0*f**3). -44*f**5 Expand (4*l - 9*l + 4*l)*(-1 + 5 - 2)*(-6*l + 3*l - l). 8*l**2 Expand (70*w + 22*w + 4 - 2 - 34*w)*(-2*w**4 + 2*w**4 - 3*w**4). -174*w**5 - 6*w**4 Expand (-2 - 2 + 3)*(-2*g + 2*g + g + (-g - 2*g + 4*g)*(0 + 1 + 1) + 24*g - 95 + 95). -27*g Expand (-9*x**2 + 6*x**2 + 0*x**2)*(1 - 1 + 3)*(3 + 3 - 5)*(4 - 4 - 4)*(3 - 3 + 1). 36*x**2 Expand (-k**4 + 0*k**4 + 0*k**4)*(k - 5*k - 4*k) - k**5 - 2*k**5 + 6*k**5. 11*k**5 Expand (2*w**2 - 2*w**2 - w**4)*(-2*w + 4*w + 0*w) - 144*w**5 + 309*w**5 - 103*w**5. 60*w**5 Expand (v - v + v)*(-5*v**3 + 4*v**3 + 0*v**3 + (-2*v + 2*v + v**2)*(5*v + 34*v + v)). 39*v**4 Expand (-7*y**2 + 6*y - 6*y)*(0*y**2 + 22*y**2 - 2*y**2). -140*y**4 Expand d - 2*d + 0*d + 303 - 24*d - 303 + (3*d - d + 0*d)*(1 - 1 - 1). -27*d Expand ((1 + 3 - 2)*(-1 + 3 - 4) - 5 + 10 - 27)*(44*a**3 - a**5 - 44*a**3). 26*a**5 Expand (b - b + 2*b)*(-b**3 + 3*b**3 - 3*b**3) + 3*b**4 + b**4 - 3*b**4 + (-10 + 16 + 39)*(-4*b**4 - 2*b**4 + 2*b**4). -181*b**4 Expand (3*d + 2*d + 153 - 3*d)*(d**2 - 4*d + 4*d). 2*d**3 + 153*d**2 Expand (m - 4*m + m)*(5 + 9 - 9) - 1 - 939*m + 2 + 973*m + (-1 + 0 + 2)*(m + m - 3*m). 23*m + 1 Expand (-4*p + 18*p + 3*p)*(-6 - 1 + 8). 17*p Expand -77*t + 84*t - 47*t + (3 - 2 + 0)*(t + 2*t - 5*t) - 2 + 2*t + 2 + (3 - 1 + 0 + 4 - 3 + 0 + 2 - 3 + 3 + (2 - 4 + 0)*(-2 + 5 - 4))*(-t + t - 3*t). -61*t Expand (0*o + 0*o + 4*o + 5*o - o - 3*o + (o + o - 4*o)*(-2 - 3 + 3) - 15*o + 3*o + 0*o)*(-o**2 - 3*o**2 - o**2). 15*o**3 Expand (-3 - 1 + 2)*(37 - 3*y**2 - 6 - 7*y - 34). 6*y**2 + 14*y + 6 Expand 3*c**3 - 2*c + 2*c + (0*c**2 + c**2 - 3*c**2)*((-1 + 1 - 1)*(-c + 2 - 2) - 11*c - c + 8*c + 1 - 1 - c). 11*c**3 Expand (-4 + 3*h + 4)*((0*h + 3*h + 0*h)*(-1 - 1 + 0) - 3*h + 2*h + 2*h - 2411 + 166*h + 2411). 483*h**2 Expand -i + i + i + (1 - 3 + 0)*(0*i + 0*i + i) + 541*i + 135 - 263 + 126. 540*i - 2 Expand 9 - 249 - 4*r + 65 + (1 - 3 + 0)*(1 - 2*r - 1) + 2*r - 7*r + 3*r. -2*r - 175 Expand -2*n + 2*n - 3*n + (4 + 0 - 1)*(141 - 9*n - 141). -30*n Expand (-2*d**2 + 8 + d - 9 + 0*d)*(14 + 0 + 10). -48*d**2 + 24*d - 24 Expand (-6*i**4 + 10*i**4 + 7*i**4 + (3*i**4 - i**4 - 4*i**4)*(3 - 4 + 2) - 6*i**4 - 5*i**4 + 47 - 48 - 3*i**3 + 3*i**3 - 2*i**4)*(-5 + 0 + 6). -4*i**4 - 1 Expand (34 + 57 + 64 + 92)*(-1 + 2*g + 1). 494*g Expand (-5*b - 7 + 9 + 1)*(12*b**2 - 24*b**2 - 3*b**2). 75*b**3 - 45*b**2 Expand (3 - 3 - 3*b)*(10*b + 2*b - 5*b)*(0 + 8 - 3). -105*b**2 Expand -2*u**2 + 7*u - 7*u + (1 - 1 + 3)*(2 - 2 - 3)*(-4*u**2 + 4*u**2 + 3*u**2). -29*u**2 Expand (11*h + 20*h - 10*h)*(-7*h - 27*h + 15*h). -399*h**2 Expand 11*c - 8*c - 17*c + (2 - 4 + 0)*(-4*c + 0*c + 3*c). -12*c Expand (18*y - 5*y - 22*y - 7*y - 99)*(3 + 1 - 5). 16*y + 99 Expand (23*z - z + 2*z)*(-z**2 + 11*z**2 + 14*z**2). 576*z**3 Expand (7 - 5 + 2*v + 3)*(-v + 4*v + v). 8*v**2 + 20*v Expand -q - 4*q + 3*q + (0*q + q - 3*q)*(-911 + 1834 - 914). -20*q Expand (-110 + 60 + 161)*(4*t - t - 4*t)*(3 - 3 + t**2). -111*t**3 Expand (-3 + 3 - 2)*(4*o**2 - 2*o**3 - 4*o**2 - o**3 - 4*o**3 + 3*o**3 + (-5*o**3 + 3*o**3 + 0*o**3)*(-2 + 3 + 1) + (0 - 2*o**2 + 0)*(2*o - 5*o - 2*o)). -4*o**3 Expand (-13 + 0 + 4)*(3 - 3 - 24*q)*(2 - 3 - 1). -432*q Expand (1 - 1 - k**2)*(1 - 4 + 1) - 3*k**2 - 14*k**2 - 21*k**2 + (-k**2 + 3*k**2 - 4*k**2)*(-4 + 7 - 2). -38*k**2 Expand (-3*i - i - 2*i)*(-i + 4*i - i) + 24*i**2 - 16*i**2 - 2 - 25*i**2. -29*i**2 - 2 Expand (-2 + 2 - c)*(0*c + 3*c - 2*c + (3 - 3 - 1)*(-4*c - 4*c + 6*c) - c + 0 + 0 + (4 + 1 - 4)*(9 + 11*c - 9)). -13*c**2 Expand 11 + 32*a - 36 + 23 + (10*a + 2*a - 3*a)*(3 - 7 + 3). 23*a - 2 Expand (5 + 0 - 2)*(23 - 29 - 71)*(-3*t - 2*t + 3*t). 462*t Expand (-4 + 0 + 3)*(54 - 37*r**5 - 54) + (1 + r - 1)*(4 + r**4 - 4) - 2 + r**5 + 2. 39*r**5 Expand (9*l + 8*l - 23*l)*(l**3 + 2*l**3 + l**4 - 2*l**4). 6*l**5 - 18*l**4 Expand (0 - t + 0)*(-1481*t + 423*t**3 + 1481*t). -423*t**4 Expand (-4*w**2 + 0*w**2 + 3*w**2)*(6 + 14 - 7) + (2*w**2 - 2*w + 2*w)*(1 + 1 - 3) + w**2 + w - w. -14*w**2 Expand -12*c**2 + 14*c**4 + 12*c**2 + (-c**2 + 5*c**2 - 6*c**3 - 2*c**2)*(-c + 0*c + 3*c). 2*c**4 + 4*c**3 Expand (o**3 + o**3 + 2*o**3)*(-o - 36 + 3*o**2 + 0*o**2 + 149). 12*o**5 - 4*o**4 + 452*o**3 Expand (-12*s - 12*s - 13*s)*((-2 - 2 + 6)*(2 - 1 + 1) + 2 - 2 - 1 + 0 - 1 + 3). -185*s Expand (-194 + 96 + 100)*(-3*i + 4*i + i). 4*i Expand (-4*z + 0*z + 2*z)*(0 - z**3 + 0) + 2*z**4 + 3 - 3 - 47*z**4 + 82*z**4 + 70*z**4. 109*z**4 Expand (0*o + 3*o + 0*o)*(3 - 1 + 4)*(3 + 4 + 2*o - 4*o). -36*o**2 + 126*o Expand (4*u**3 + u**3 - 4*u**3)*(u + 5*u - 2*u**2 - 26*u). -2*u**5 - 20*u**4 Expand (695*m**2 - 692*m**2 + 38 - 2)*(2 + 0 - 3). -3*m**2 - 36 Expand 3*n - 2*n - 475 + 280 + 2*n + n - 5*n + (-2 + 2 + 1)*(3 - n - 3). -2*n - 195 Expand -3*n**2 + 0*n**2 + 2*n**2 - 3*n**2 + 0*n**2 + n**2 + (0 - 2*n + 0)*(-4 + 4 + n) + 2*n - 2*n - 2*n**2 - 2*n**2 + 3 - 43*n - 159*n + 34*n. -9*n**2 - 168*n + 3 Expand (1 - 1 - 8*b)*(4 - 4 - 2*b)*(-10*b - 4*b + 18*b). 64*b**3 Expand 2 - 2 - v**5 + (2*v**2 + 5*v**2 + 2*v**2)*(-19*v**3 + 7*v**3 - v**3). -118*v**5 Expand (4 - 4 + 2)*(2*o - 9*o + o)*(4 - 3 - 3)*(18*o - 28*o + 37*o). 648*o**2 Expand 7*v**4 + 6*v - 6*v + (v**2 + 4*v**2 + v**2)*(-v**2 - 3*v**2 + 6*v**2). 19*v**4 Expand (c**2 - c**3 - c**2)*(-c**2 + 5*c**2 + c**2) + (0 + 2 + 0)*(-2*c - 4 + 4)*(2*c**4 + 3*c**3 - 3*c**3). -13*c**5 Expand (-6 + 2 + 5)*(3*o + o - 1 + 0). 4*o - 1 Expand (5*z**2 + 0*z - z - 4*z**2)*((-2 - 1 + 1)*(-3*z + 2*z + 0*z) + 2*z + 2 - 2 - z + 2 - 2 - 6*z - 4*z + 12*z). 5*z**3 - 5*z**2 Expand ((0 + 5 - 3)*(-4*j + j + 2*j) - 3*j - j - 3*j - 25 - 5*j + 25 + (2 - 2 + 2)*(-5*j + 4*j + 3*j))*(5 - 2 + 0). -30*j Expand -b**4 + b**4 - 2*b**5 + (b**4 + b**4 + 0*b**4)*(-3*b + b + b) - b**5 + 2*b**5 - 2*b**5 - 3*b**5 + 4*b**5 + 5*b**5 - 4*b + 4*b + 4*b**5. 5*b**5 Expand (8*b**3 + b**3 - 5*b**3)*(4*b - 3*b + 0*b) - 19 + 15 + b**4 - 6*b**4. -b**4 - 4 Expand -34*g - 259*g - 10*g + 44*g + 1 - 2*g - 1 + (g + 1 - 1)*(0 - 2 + 0) + g + 0 + 0 + 6*g - 4*g - 3*g. -263*g Expand c**3 - 2 + 2 + 4*c**3 - 6*c**3 + 5*c**3 - c**3 - c**3 + c**3 + (-2*c - 4*c + 4*c)*(-c**2 - 2*c**2 + 2*c**2) + (-2*c - 5*c + 2*c)*(-4*c**2 - c**2 + c**2). 25*c**3 Expand (52*l + 74*l + 88*l)*(1 + l - 1). 214*l**2 Expand (-2*l - 3*l + 3*l)*(40 + 57 - 12). -170*l Expand (-3 - 1 + 5)*(-5 + 3 + 0)*(-14*v - v - 17*v). 64*v Expand (7*a - a**4 - 2 - 7*a)*(-178*a + 66*a - 38 + 30). 112*a**5 + 8*a**4 + 224*a + 16 Expand 12 + 4*j - 12 + (3*j - 4*j - j)*(0 + 1 + 0)*(-4 - 2 + 3). 10*j Expand (1312 + 30*j - 1312)*(1 + 2 - 1)*(0 + 0 - 2)*(-1 + 6 - 3). -240*j Expand -32 + 68 + 72*m**2 - 36 + (5*m - m - 3*m)*(-m + 0*m - m). 70*m**2 Expand -1 - 8*g + 0 + 10*g + (-g + 6*g - 3*g)*(0 - 1 + 0) - 11 + 7*g + 11 - 4 + 3*g + 4. 10*g - 1 Expand -125*g + 41*g + 63*g + (3 + 3 - 5)*(-g + 4*g - g) - g + 0*g + 0*g + 3*g - g - g. -19*g Expand (-10*u**2 - u - u**2 - u**2)*(4*u + 16 - 3 + 0*u). -48*u**3 - 160*u**2 - 13*u Expand (-h**2 + 5*h**2 - h**2)*(616*h**2
{ "pile_set_name": "DM Mathematics" }
4.3. Which is the biggest value? (a) w (b) z (c) x b Let q = -4.02 - -0.02. Let i = 0.45 + -3.45. Let u = -624 - -623.5. What is the second biggest value in q, i, -4/5, u? -4/5 Let l be 3/198*110*12/10. What is the biggest value in 3, 7/2, -1/41, l? 7/2 Let n = -0.249 - -71.249. Let o = 71 - n. What is the second biggest value in -24, 1/6, o? o Let v = 15 - 11. Let x be (-8 + (-3486)/(-441))/(8/(-14) + 1). What is the third smallest value in x, 3/13, v? v Let v = -1.66 + 1.46. Let m be 3/7 - 30/21. Let i = -20 + 22. Which is the third biggest value? (a) i (b) v (c) m c Let x = -466 - -367.5. Let f = 99 + x. What is the smallest value in f, -5, 3/65? -5 Let s = 131 + -130. Let n be 14*(-4)/(-32) + s/(-1). What is the second smallest value in 16, 0.4, n, 2? n Let u = 466983/1450 + -465/58. Let x = u + -314. Which is the biggest value? (a) x (b) -9 (c) 0 a Suppose s - 4*a = 17, 4*a + 2 = -s - 5. Suppose -s*y - 44 = 61. Let f be (-44)/14 - y/7. What is the second biggest value in 6/11, f, 3, 1? 1 Let n = -2.66 - -2.96. What is the fourth smallest value in n, -1/5, -0.01, -0.081? n Let o = 69 + -25. Let g = o - 48. Suppose 277 - 95 = 3*z - 4*f, 4*z - 228 = -2*f. What is the third biggest value in g, -5, z? -5 Let m be (-26)/39*40/80. Which is the fourth biggest value? (a) 5 (b) 0.4 (c) m (d) -6.4 (e) -2/45 c Let i be (3/(-4) - 0) + -12 + 336/28. What is the second biggest value in -1/6, -6, 0, -1, i? -1/6 Let k = -0.07 - -0.17. Let p be (-15)/5*1 + -22. Let d = -124/5 - p. What is the biggest value in k, d, -1? d Let x(n) = -n**3 + 3*n**2 - 4*n + 2. Let r be x(2). Let z be (-2)/(-66)*(-3 - -9). Let t = -35.634 - -35.734. Which is the smallest value? (a) z (b) t (c) r c Let s = -631474/27 + 23388. Which is the smallest value? (a) s (b) -0.01 (c) -2/7 (d) -11 d Suppose -331 = -72*s + 29. Let g(k) = -3*k - 23. Let u be g(-8). Which is the biggest value? (a) s (b) u (c) 1.4 a Let j be 4/(-10) + 22/(-20) - (-7871)/4630. Which is the fourth biggest value? (a) j (b) 1 (c) 2/7 (d) 4 (e) -13 a Let d = 3041/3 + -20894/21. Let n = -19 + d. Let h = -729.6 + 730. What is the second biggest value in 4/9, 3, h, n? 4/9 Let m = 0.9 - 0.88. Let n = 62385/2 - 31192. Which is the third smallest value? (a) n (b) -7 (c) m a Let r = 601 - 575. Suppose -r*f + 74 + 56 = 0. Which is the fourth biggest value? (a) f (b) -14/5 (c) 6 (d) 0 b Let v = -287.86 - -288. What is the smallest value in 4/7, v, -0.2, -9? -9 Let v = 0.058 + 29.942. Let h = -30.08 + v. Let t(g) = -g + 9. Let n be t(7). Which is the second biggest value? (a) n (b) h (c) -1/3 b Let f = -5.8 - -9. Let p = 3.21 - f. Let h = p + 0. Which is the second smallest value? (a) -2 (b) 3 (c) h c Let m = -56.8 - -21.8. Which is the third smallest value? (a) 0.4 (b) 2/3 (c) m (d) 0.02 (e) 5 a Let v = 0.05 - 0.45. Let s = -103085/12 - -51541/6. Which is the fourth smallest value? (a) v (b) -1 (c) s (d) 1/2 d Let k(i) = -2*i**2 - 8*i + 5. Let o = 14 + -18. Let c be k(o). Suppose 5*r = 4*j + j + 10, -2*r + c*j = -13. What is the smallest value in 5, r, 0.6? r Let l = -0.09 + -3.91. Let d = 73 - 73.4. Suppose -5*k = -13 + 53. Which is the third biggest value? (a) l (b) k (c) d b Suppose -4*d + 4 = 4*z - z, 1 = d - 5*z. Let b be (d/10)/(1/(-2)). Let h = -1.11 + 0.11. What is the smallest value in h, b, -0.3? h Let p = 0.04475 - 122.04475. Which is the smallest value? (a) 0 (b) p (c) 3 b Let j = -1.574 - -1.61. Let z = -0.436 + j. What is the fourth smallest value in z, 0, 10, -3/2? 10 Suppose 59*q + 22 = 48*q. Let k = -4.9 + 5. What is the third smallest value in q, k, 3? 3 Let t(w) = -5*w. Let q be t(-1). Let v = 14407 - 14404. What is the biggest value in -1/7, 4, v, q? q Let k be -1 + 1*(-183)/(-24). Let h = 33/8 - k. Let o be (-3)/(-10) - (-18)/(-36). Which is the second biggest value? (a) o (b) 3 (c) h a Let m = -411 - -454. Let j = m + -39. Which is the second smallest value? (a) -48 (b) 1/7 (c) j b Let y = -333/13 - -973/39. What is the second biggest value in 0.3, y, 0.04, -2? 0.04 Suppose -5*l - 2*o + 6 = 0, 2*l - 1 = 7*o - 8*o. Which is the fourth biggest value? (a) -2/17 (b) 2 (c) 2/7 (d) l (e) -3 a Let s = -7519 + 7519.5. Which is the second smallest value? (a) 5 (b) s (c) 0 (d) -18 (e) 2/9 c Let f = -4952 - -4965. Which is the third smallest value? (a) -1 (b) -3 (c) -5 (d) f a Let u = -5962 - -5964. Let r be 4 - 2 - (-3 - -11). Let l = -1 - r. What is the smallest value in 1/9, l, u? 1/9 Suppose 7*x + 1474 = 1453. Let j = 0.2 + 4.8. Let i = j - 1. Which is the third biggest value? (a) i (b) 2/9 (c) 1/2 (d) x b Let v = -200 + 133. Let x = v + 104. Let j = 17 - x. Which is the second biggest value? (a) -4 (b) j (c) 3 a Suppose -3*h = -4*g + 5 + 13, -5*h = -3*g + 19. Let m = 1398 - 11185/8. Which is the fourth smallest value? (a) m (b) -8 (c) h (d) -4 a Let n be -2 - 10 - 7373/(-606). Let j = -0.8 + 2.8. Which is the third smallest value? (a) 1/5 (b) j (c) n (d) -3 a Let t = 7 + -6.9. Let b = -131 - -133. What is the fourth smallest value in -3/4, 0.5, b, t? b Let z be ((-1848)/70 + 26)/(1 - (-4)/(-5)). What is the smallest value in 92, z, -1? z Let q = -37252/241969 - -2/18613. Which is the second smallest value? (a) -1/9 (b) -1 (c) 5 (d) 0.4 (e) q e Let c = 3159.2 + -3159. Let m = -241.97 + 245. Let u = 0.03 - m. What is the smallest value in u, 0, -0.1, c? u Let s = -1674 - -1674.3. Which is the fourth smallest value? (a) -1 (b) -1/4 (c) -20 (d) s (e) -2/13 e Let c = -509.7 + 510. Suppose -3*n = -5*z - 0*z + 235, 188 = 4*z - 5*n. What is the third smallest value in c, z, -3, -0.2? c Let m be (0 - (-1 - 0)) + (-18)/54. Let i = 0.1 - -49.9. Let t = -47 + i. What is the fourth smallest value in -5, 2, m, t? t Let n = 27.4 - -2.6. Let t = n - 28. Let j(o) = -o + 8. Let r be j(11). Which is the third smallest value? (a) -1 (b) t (c) r b Let n = -15.5 - -15.1. Let p = 2498/13 - 192. Which is the biggest value? (a) -3 (b) p (c) n (d) 0.4 d Suppose 4*v + 24 = 2*r, 13*v + 4*r = 9*v. Suppose 7*a - 12 = 11*a. What is the biggest value in a, v, -3/11, 1? 1 Let m = 14859 - 14860. What is the biggest value in -12, m, -8? m Let c = -31396 - -31398. Let o be ((-278)/(-6))/(-1) - 0. Let v = o - -46. What is the smallest value in -1/2, v, c? -1/2 Let r = 2.6 + -3. Let g be (9/(-66))/(6/8). Let h be (190/(-570))/(-1 - 2/(-3)). Which is the third biggest value? (a) g (b) h (c) r c Let p = -12 + 7. Let g = 68.6 + -326.6. What is the third smallest value in p, 0, -2/5, g? -2/5 Let n = 234.5 + -22.5. Let d = 207 - n. Let j = 1 - -1. Which is the second smallest value? (a) 1 (b) d (c) j a Let x = 15.6 + 3.4. Let d = x + -25.2. Let t = -5.8 - d. What is the biggest value in -0.3, -1/6, t? t Let z = 774 - 773. Let w be (7/2 + -4)/z. What is the fourth smallest value in 1/4, 0, w, -3/7? 1/4 Let s = -2 - -5. Let u = -28533/5 + 5706. What is the smallest value in 2.5, s, u? u Let n be (-99)/(-180) + 2/10. Let t = 8.3 - 3.3. Suppose 0 = 12*r - 13*r - 2. Which is the second biggest value? (a) t (b) n (c) -4 (d) r b Let x = 0.2 - -1.8. Suppose 0 = z - 4*z + 120. Let n = z - 199/5. What is the second biggest value in x, n, -3? n Let c = 326 - 642. Let l = c - -336. What is the third biggest value in 4, l, 5? 4 Let c = 96 + -387/4. Let y = 6495 + -6488. What is the second biggest value in -3, c, y, 0.4? 0.4 Suppose p = -3*l + 5, 145*p - 33 = -3*l + 148*p. Which is the fourth smallest value? (a) -2 (b) l (c) -11 (d) 1/7 b Let n = -482 - -278. Let q = -203.6 - n. What is the biggest value in -2/9, 4, q, -2/17? 4 Let h = -5625 - -5621. Which is the second smallest value? (a) -1 (b) h (c) 4 a Let k = -268 + 2946/11. Let w = -460.2 + 460. What is the smallest value in w, k, 44? w Let t(w) = 2*w**3 - 34*w**2 - 8*w + 137. Let k be t(17). Which is the biggest value? (a) -1/4 (b) 1/4 (c) -3 (d) k (e) 6 e Let m = 31678 - 31681. Let v(s) = 2*s - 3. Let j be v(-6). What is the third smallest value in j, m, 0? 0 Let r be (-1)/(-16)*(28 + -14)/7. What is the second biggest value in r, -75, 0.4, -7? r Let t = 1.75 + 231.25. Let j = t + -232. Which is the second biggest value? (a) j (b) -1 (c) 2/9 (d) 3 a Let w be ((-2928)/
{ "pile_set_name": "DM Mathematics" }
t common factor of l and r. 5 Let v = 32 + -12. Calculate the highest common divisor of 100 and v. 20 Let q = 196 - 98. Calculate the highest common factor of q and 14. 14 Let v be 183/8 + 44/352. Let a(y) = 114*y**2 + y. Let n be a(1). Calculate the highest common factor of v and n. 23 Let d(p) = -5*p - 18. Let w be d(-4). What is the highest common factor of 16 and w? 2 Suppose -1 = s - 5*y, 4 = -s - 2*y + 4*y. Let k be (-2)/s*(5 + 1). Calculate the greatest common divisor of k and 3. 1 Let t = 164 + -89. Calculate the greatest common factor of t and 15. 15 Let v(l) = 3*l**2 - 2*l + 1. Suppose -5*o - 15 = 5*c, c + 2*o + 9 = 2*c. Let k be v(c). Let r = 108 + -106. Calculate the highest common divisor of r and k. 2 Suppose -5*z + 122 = -128. Suppose 4*f + 2*t = 44, 3*f + 5*t - 60 = -2*f. What is the highest common divisor of z and f? 10 Suppose 0 = -v + 6 - 1. Suppose 304 = v*w - a, w + 0*w - 5*a = 80. Calculate the highest common factor of 24 and w. 12 Let s be (-4)/12*(2 - 11). Suppose 3*q - 2*p - s*p = 25, -2*p - 8 = -q. What is the highest common factor of q and 90? 10 Suppose -2*a + 5*a = 60. Let c be -2 - (0 + -2 + -60). What is the greatest common divisor of a and c? 20 Let q(i) = i**3 - 6*i**2 - 3*i - 8. Let j be q(7). What is the greatest common factor of j and 8? 4 Suppose 5*l = l, 2*t - 4*l - 28 = 0. Let o = t + -8. Calculate the greatest common factor of 42 and o. 6 Suppose 0 = -2*a + 5*a + 45. Let d = 21 + a. Calculate the highest common factor of d and 1. 1 Suppose 6*n = -184 + 484. What is the greatest common factor of 10 and n? 10 Suppose 90 = 20*t - 19*t. Suppose 5*q - 38 = 12. Calculate the highest common divisor of t and q. 10 Let f = 29 + -25. What is the greatest common factor of 2 and f? 2 Suppose -93*c = -97*c + 828. Calculate the highest common factor of 23 and c. 23 Let w(t) = 6*t**2 + 11*t + 20. Let z be w(-4). Calculate the greatest common divisor of 8 and z. 8 Let a be (-77)/(-11) + (-2 - 1). Calculate the highest common factor of a and 2. 2 Let r(w) = -w**2 + 9*w + 9. Let u be r(9). Suppose 401 = 5*f + 2*n, -2*f - 2*n - 2*n = -154. What is the greatest common factor of f and u? 9 Let p = -13 - -31. What is the greatest common factor of p and 18? 18 Let q be (-1)/(0 + 5/(-160)). What is the highest common divisor of 8 and q? 8 Let u be 104/6 + -6 + 120/18. Calculate the highest common factor of u and 6. 6 Suppose d - 2*k + 1 = 0, d - k - 2 = -1. What is the greatest common factor of d and 21? 3 Let a = -32 - -59. Calculate the highest common factor of a and 18. 9 Let y(l) = l**2 - l + 33. Let z(r) = 2*r. Let k be z(-3). Let w(d) = d + 6. Let t be w(k). Let b be y(t). Calculate the highest common divisor of 22 and b. 11 Let a(r) = -r + 43. Let p be a(13). Calculate the highest common divisor of p and 45. 15 Let p(c) = c**3 + 10*c**2 + 4*c + 7. Suppose -2*j = 5*v - 0*j + 43, -v - 2*j - 15 = 0. Let b be p(v). Calculate the greatest common factor of b and 14. 14 Suppose i - 3*i = -6. Suppose 0*t + t - i = 0. Suppose -2*f = 3*n - 24, -3*f = 3*n - 2*f - 21. What is the highest common factor of n and t? 3 Let w(p) = -p**2 - 17*p + 14. Let b be w(-15). Calculate the greatest common factor of 11 and b. 11 Let m(j) = -21*j - 3. Let c be m(-4). Let w(x) = x**3 - 13*x**2 + x - 4. Let o be w(13). Calculate the highest common factor of o and c. 9 Suppose 0 = 5*o - 191 - 49. Calculate the greatest common divisor of 6 and o. 6 Let t be (2 - (-48)/3)/((-2)/(-41)). What is the greatest common factor of t and 41? 41 Let c = -93 - -205. What is the highest common divisor of 16 and c? 16 Let y(j) = 3*j**3 + 0*j - 4*j**3 - 1 + 11*j**2 + 3*j. Let k be y(11). Calculate the greatest common factor of k and 288. 32 Let l be -6 + 3 - (-2 - (16 - -1)). What is the greatest common factor of 8 and l? 8 Suppose -6*u = -2*u - 64. Suppose -4*c - 100 = -5*w, 4*c - 3*c = -2*w + 53. What is the highest common factor of u and w? 8 Let w be (-315)/(-3) + (-2 - -1). Calculate the highest common divisor of w and 13. 13 Suppose 12 = -4*r + 68. What is the greatest common divisor of 42 and r? 14 Let x be 2/(-3) - (-136)/6. Suppose k = r - 0 - 7, 0 = -k - 5. What is the greatest common divisor of r and x? 2 Let z = 8 + -6. Suppose 3*l - 8*l = 3*a - 159, 0 = -z*l + 5*a + 76. Calculate the greatest common divisor of l and 22. 11 Suppose -2*g - w + 99 = 0, 6 = -3*w - 9. Let z(c) = c**3 - 18*c**2 + c - 5. Let n be z(18). What is the highest common divisor of n and g? 13 Suppose 40 = -t + 6*t. Calculate the greatest common factor of 1 and t. 1 Let m = 8 + 3. Suppose 3*a - 4*a = -m. Suppose 2*x + 5*p - 5 - 2 = 0, 0 = 4*x + 4*p - 32. Calculate the greatest common factor of x and a. 11 Suppose z - 42 - 86 = -5*i, 4*i - 16 = 0. What is the highest common factor of z and 27? 27 Suppose -5*a - 5*i = -180, -a - 4*i + 36 = -i. Suppose -3*h + 14 = 5*f, 2*h + 14 = f - 3*h. What is the highest common factor of a and f? 4 Let i = -3 - -3. Suppose -3*n + 53 = 4*z, 5*n - z - 73 = -i*z. Let s(h) = 10*h - 4. Let j be s(1). What is the highest common divisor of j and n? 3 Let t = -25 + 58. Calculate the greatest common factor of t and 22. 11 Let p = 102 + -72. What is the greatest common factor of p and 12? 6 Let l(b) = -9*b - 2. Let j be l(-6). Let s(p) = 22*p**2 - 4*p + 2*p + 3*p - 8*p**2. Let f be s(-1). What is the greatest common factor of f and j? 13 Suppose 5*j = -23 + 68. Let c(x) = -x**3 + 4*x**2 + 7*x - 5. Let d be c(5). Suppose -d*g + 356 - 41 = 0. Calculate the greatest common factor of g and j. 9 Let h be (-11304)/42 + (-2)/(-14). Let w = -188 - h. Calculate the greatest common divisor of 9 and w. 9 Let u(a) = a**2 - a - 2. Let d be u(-2). Let o be (2 - d) + 7 + 0. Suppose -88 = o*w - 6*w. Calculate the highest common divisor of 8 and w. 8 Suppose 6 = -4*a + 54. Calculate the highest common factor of 30 and a. 6 Let u(g) = 3*g**2 + 2*g. Let l be u(3). Let d be ((-24)/30)/(4/(-10)). Suppose 0 = -m - d + 13. Calculate the highest common factor of m and l. 11 Let j be (-1 - (-31 + 1))*1. Let s be (-4)/(-12) - j/(-3). What is the greatest common divisor of 90 and s? 10 Let j(a) = 2*a**2 + 4*a - 2. Let y be j(-4). Let h be (-4)/y - (-114)/7. Let z be (-390)/(-3) - (3 + -1). Calculate the highest common factor of z and h. 16 Let t = -121 - -129. What is the highest common factor of 64 and t? 8 Let q be ((-8)/(-2) - 2)*1. Suppose 3*d = -2*i - q*d + 15, -2*i + 3*d = -7. Suppose -10*f + 855 = 9*f. What is the greatest common factor of i and f? 5 Let t(h) = 2*h - 4*h + 9 + h. Let b be t(7). Suppose -9 = -3*w - 3*f, 12 = 4*w + 3*f + b. What is the greatest common factor of 9 and w? 1 Suppose 2*w - 82 = -4*j, -4*j + 77 = -2*w + 15. Let d be 74/3 + (-12)/j. Let n be 46/4 + 2/4. Calculate the highest common factor of n and d. 12 Let b(k) be the first derivative of k**4/4 + 3*k**3 - k**2/2 - 5*k + 1. Let q be b(-9). Calculate the greatest common divisor of q and 12. 4 Let q(y) = 6*y + 3. Let n be q(6). What is the highest common divisor of n and 26? 13 Suppose -3*f + 27 = -2*f. Calculate the greatest common divisor of f and 189. 27 Let w be (-15)/10*(-40)/6. Calculate the highest common factor of 4 and w. 2 Let t = -144 + 159. What is the highest common factor of 10 and t? 5 Let q(s) = -s**3 + 9*s**2 - 11*s + 1. Let m be q(6). Let j = m - 31. What is the highest common divisor of j and 108? 12 Suppose 0*b = -m - b - 3, 0 = m - 5*b - 27. Suppose 0 = 4*j - 2*a - m*a - 32, 0 = 3*a. Calculate the greatest common divisor of 8 and j. 8 Suppose 3*l - 2 - 1 = 0. Calculate the greatest common divisor of l and 10. 1 Suppose 5*q - 5*b + 20 = 0, 0*q + b - 4 = -5*q. Suppose 0 = 5*i, -4*t = -q*t + 4*i - 120. Calculate the highest common factor of 6 and t. 6 Suppose 0 = -4*i + 5*l - 27, 3*l = -0*i + 2*i + 15. Let n be 39 - (2 + i) - 0. Let p = 5 + 0. What is the highest common divisor of n and p? 5 Suppose 0 = 2*v + 2*s - 28, 5*s - 4*s + 20 = v. What is the greatest common divisor of 85 and v? 17 Let x be (2/(-3))/((-3)/((-3510)/(-20))). What is the greatest common factor of 429 and x? 39 Let b = 14 - -4. What is the greatest common divisor of 90 and b? 18 Let t be 31/6 + 7/(-42). Suppose t*o - 12 = 8. What is the greatest common factor of 12 and o? 4 Let w = -81 + 82. What is the highest com
{ "pile_set_name": "DM Mathematics" }
e there between 5:37 PM and 7:37 PM? 120 How many minutes are there between 6:10 PM and 1:10 AM? 420 What is 570 minutes after 7:12 PM? 4:42 AM How many minutes are there between 10:50 PM and 10:11 AM? 681 How many minutes are there between 2:27 AM and 9:13 AM? 406 How many minutes are there between 6:07 AM and 4:32 PM? 625 How many minutes are there between 6:01 AM and 5:28 PM? 687 How many minutes are there between 6:09 PM and 3:41 AM? 572 What is 175 minutes after 2:30 AM? 5:25 AM What is 520 minutes after 8:36 AM? 5:16 PM What is 583 minutes before 3:36 PM? 5:53 AM What is 388 minutes after 5:17 AM? 11:45 AM How many minutes are there between 6:42 AM and 5:34 PM? 652 How many minutes are there between 8:20 AM and 3:06 PM? 406 What is 277 minutes after 8:55 AM? 1:32 PM How many minutes are there between 4:18 PM and 6:08 PM? 110 What is 444 minutes after 10:54 PM? 6:18 AM How many minutes are there between 3:42 AM and 6:27 AM? 165 How many minutes are there between 10:30 PM and 4:36 AM? 366 How many minutes are there between 9:14 AM and 8:54 PM? 700 How many minutes are there between 3:30 PM and 10:33 PM? 423 How many minutes are there between 11:51 AM and 10:37 PM? 646 How many minutes are there between 7:53 AM and 6:05 PM? 612 How many minutes are there between 11:08 AM and 1:09 PM? 121 What is 59 minutes before 11:37 AM? 10:38 AM How many minutes are there between 7:44 PM and 7:04 AM? 680 What is 19 minutes before 3:12 AM? 2:53 AM How many minutes are there between 7:28 PM and 4:26 AM? 538 How many minutes are there between 1:14 PM and 11:13 PM? 599 What is 584 minutes after 9:40 AM? 7:24 PM What is 341 minutes after 9:36 PM? 3:17 AM What is 54 minutes before 5:32 AM? 4:38 AM How many minutes are there between 6:50 AM and 4:06 PM? 556 How many minutes are there between 3:01 AM and 8:45 AM? 344 What is 160 minutes before 1:43 AM? 11:03 PM How many minutes are there between 7:32 AM and 11:03 AM? 211 What is 707 minutes after 5:18 PM? 5:05 AM How many minutes are there between 7:39 AM and 1:00 PM? 321 How many minutes are there between 9:28 PM and 4:22 AM? 414 What is 98 minutes after 11:21 AM? 12:59 PM What is 570 minutes before 3:02 PM? 5:32 AM What is 502 minutes before 1:52 AM? 5:30 PM What is 104 minutes before 4:34 AM? 2:50 AM What is 152 minutes before 1:30 AM? 10:58 PM What is 304 minutes before 6:59 PM? 1:55 PM What is 110 minutes after 8:37 AM? 10:27 AM What is 473 minutes before 1:59 AM? 6:06 PM How many minutes are there between 6:08 PM and 9:31 PM? 203 What is 209 minutes after 6:19 AM? 9:48 AM How many minutes are there between 9:59 AM and 3:24 PM? 325 How many minutes are there between 1:01 PM and 3:13 PM? 132 How many minutes are there between 9:19 PM and 12:41 AM? 202 What is 249 minutes before 8:29 PM? 4:20 PM What is 549 minutes after 9:04 PM? 6:13 AM What is 251 minutes before 12:47 AM? 8:36 PM What is 697 minutes after 7:38 PM? 7:15 AM How many minutes are there between 5:17 PM and 7:51 PM? 154 How many minutes are there between 3:15 AM and 6:29 AM? 194 What is 211 minutes before 4:47 AM? 1:16 AM How many minutes are there between 7:37 AM and 1:08 PM? 331 What is 387 minutes after 1:19 PM? 7:46 PM How many minutes are there between 9:28 PM and 6:34 AM? 546 What is 607 minutes before 9:53 AM? 11:46 PM What is 289 minutes before 7:21 AM? 2:32 AM What is 697 minutes after 2:32 PM? 2:09 AM What is 457 minutes after 4:16 AM? 11:53 AM What is 153 minutes after 4:11 AM? 6:44 AM What is 488 minutes before 11:52 PM? 3:44 PM What is 588 minutes before 1:08 PM? 3:20 AM What is 620 minutes after 9:51 PM? 8:11 AM What is 641 minutes before 6:13 AM? 7:32 PM What is 468 minutes after 2:35 AM? 10:23 AM What is 53 minutes before 6:23 AM? 5:30 AM How many minutes are there between 5:53 PM and 2:39 AM? 526 What is 142 minutes before 8:28 PM? 6:06 PM How many minutes are there between 11:19 AM and 10:24 PM? 665 What is 670 minutes before 3:42 PM? 4:32 AM How many minutes are there between 10:35 AM and 10:22 PM? 707 How many minutes are there between 9:24 PM and 12:16 AM? 172 What is 158 minutes before 1:50 AM? 11:12 PM How many minutes are there between 7:39 AM and 9:29 AM? 110 What is 446 minutes after 4:04 PM? 11:30 PM What is 429 minutes before 12:04 PM? 4:55 AM What is 400 minutes after 1:15 AM? 7:55 AM How many minutes are there between 8:14 AM and 1:45 PM? 331 What is 547 minutes after 8:07 AM? 5:14 PM What is 195 minutes before 10:24 AM? 7:09 AM How many minutes are there between 12:13 AM and 12:19 AM? 6 What is 117 minutes after 2:50 PM? 4:47 PM What is 337 minutes after 6:15 PM? 11:52 PM What is 655 minutes after 5:11 PM? 4:06 AM What is 171 minutes before 4:05 AM? 1:14 AM What is 623 minutes after 12:05 PM? 10:28 PM How many minutes are there between 11:49 AM and 11:34 PM? 705 How many minutes are there between 10:02 PM and 4:33 AM? 391 How many minutes are there between 9:26 PM and 8:10 AM? 644 What is 502 minutes after 12:04 PM? 8:26 PM What is 607 minutes after 12:15 PM? 10:22 PM What is 121 minutes before 11:09 PM? 9:08 PM How many minutes are there between 9:24 AM and 4:43 PM? 439 How many minutes are there between 11:42 PM and 9:00 AM? 558 What is 634 minutes after 9:05 PM? 7:39 AM How many minutes are there between 4:37 AM and 4:26 PM? 709 How many minutes are there between 6:09 AM and 9:52 AM? 223 How many minutes are there between 3:54 AM and 10:10 AM? 376 How many minutes are there between 6:21 PM and 7:02 PM? 41 What is 628 minutes before 7:26 PM? 8:58 AM What is 313 minutes before 6:51 AM? 1:38 AM What is 304 minutes before 2:41 PM? 9:37 AM How many minutes are there between 2:07 PM and 1:32 AM? 685 How many minutes are there between 1:13 AM and 10:26 AM? 553 What is 76 minutes after 6:11 PM? 7:27 PM How many minutes are there between 6:40 PM and 8:21 PM? 101 What is 103 minutes after 9:09 AM? 10:52 AM How many minutes are there between 6:25 PM and 4:20 AM? 595 How many minutes are there between 4:33 AM and 2:18 PM? 585 What is 323 minutes before 2:59 AM? 9:36 PM What is 444 minutes before 5:35 AM? 10:11 PM What is 414 minutes after 6:42 AM? 1:36 PM How many minutes are there between 8:38 PM and 12:09 AM? 211 What is 391 minutes after 3:34 PM? 10:05 PM What is 459 minutes after 11:54 PM? 7:33 AM What is 82 minutes before 6:36 PM? 5:14 PM How many minutes are there between 11:32 PM and 6:16 AM? 404 What is 715 minutes before 11:54 PM? 11:59 AM How many minutes are there between 12:24 AM and 12:07 PM? 703 How many minutes are there between 9:06 PM and 1:36 AM? 270 What is 291 minutes after 4:42 AM? 9:33 AM What is 296 minutes after 6:32 AM? 11:28 AM What is 344 minutes after 9:54 AM? 3:38 PM How many minutes are there between 11:56 PM and 2:24 AM? 148 What is 586 minutes before 4:11 AM? 6:25 PM How many minutes are there between 2:01 AM and 6:15 AM? 254 How many minutes are there between 12:27 AM and 10:16 AM? 589 How many minutes are there between 6:47 AM and 8:24 AM? 97 What is 51 minutes after 2:58 PM? 3:49 PM What is 672 minutes after 1:31 PM? 12:43 AM How many minutes are there between 4:02 PM and 9:02 PM? 300 How many minutes are there between 7:36 AM and 7:22 PM? 706 How many minutes are there between 12:15 AM and 3:07 AM? 172 How many minutes are there between 3:52 PM and 12:20 AM? 508 What is 10 minutes after 1:37 PM? 1:47 PM What is 419 minutes after 12:40 AM? 7:39 AM How many minutes are there between 10:04 PM and 3:35 AM? 331 What is 360 minutes before 5:25 PM? 11:25 AM How many minutes are there between 7:01 PM and 2:04 AM? 423 How many minutes are there between 9:30 AM and 3:46 PM? 376 What is 692 minutes before 10:51 PM? 11:19 AM What is 685 minutes before 4:18 PM? 4:53 AM How many minutes are there between 3:36 PM and 4:24 PM? 48 What is 665 minutes before 11:23 PM? 12:18 PM What is 251 minutes before 8:06 PM? 3:55 PM How many minutes are there between 12:24 PM and 9:40 PM? 556 How many minutes are there between 4:24 AM and 8:49 AM? 265 What is 591 minutes after 3:49 AM? 1:40 PM How many minutes are there between 12:51 PM and 2:13 PM? 82 What is 706 minutes after 11:00 PM? 10:46 AM How many minutes are there between 10:30 PM and 1:21 AM? 171 What is 525 minutes after 4:43 PM? 1:28 AM What is 254 minu
{ "pile_set_name": "DM Mathematics" }
y = -2/33 + 28/99. What is the third smallest value in y, b, -1/2? b Let g = 110/1449 - -4/207. Which is the biggest value? (a) g (b) 2 (c) -3/5 b Suppose x - 3*x = -8. Suppose m + x = 2*m. Let f = 235 + -235. What is the biggest value in m, f, 3? m Let s(b) = -2*b - 1. Let n be s(1). Let j be (-2)/(2/n)*1. Suppose 5*c - 22*w - 9 = -20*w, 3*c + 2*w + 1 = 0. What is the smallest value in -0.4, c, j? -0.4 Let i = 2/101 - 216/707. What is the second biggest value in i, 4, -1? i Let h = -24.5 - -29.5. Suppose 5*w + 6 + 4 = 0. Let s be 9*w/14 + 1. What is the smallest value in -2/3, s, h? -2/3 Let p = -93 + 91. Which is the third biggest value? (a) 3/14 (b) p (c) 0.3 (d) -0.3 d Let i(q) = q**2 - 2*q - 28. Let j be i(7). What is the third smallest value in j, 2/3, 2/11, -1? 2/3 Let u = -3 + 0. Let z = -0.01 - 5.99. Let t = z + 4. What is the second smallest value in t, u, 0? t Let v be (-4)/16 + 1/4. Let j(i) = -i**2 - 9*i + 24. Let t be j(-11). What is the second biggest value in v, -2, t? v Let i(m) = m + 8. Let y be i(-3). What is the third smallest value in -1/2, 3/7, y? y Let h be ((-2)/8)/((-6)/16). Let x = 4.9 - 0.9. Let n = -0.5 + 0.3. Which is the third smallest value? (a) n (b) h (c) x c Let t = 5.6 + -6. Let h = 0.71 - 0.11. Let a = h - t. What is the third biggest value in -0.4, 1/2, a? -0.4 Let o = -0.1 - -4.1. Let x = -3.1 + 24.1. Let q = x - 16. What is the second biggest value in q, o, -1? o Let h = 15.5 + -15. What is the third biggest value in h, 2, -3? -3 Let q be 3 + (-2)/1 + 1. Let f = -5 + q. What is the third biggest value in f, -1/4, 0.1? f Let z(t) = -t - 3. Let n be z(-6). Let p(w) = w**2 - w - 2. Let i be p(n). Which is the second biggest value? (a) 0 (b) -1 (c) i a Let d = -4.99 - -5. Let z = -1.11 + 1. Let n = d + z. What is the second biggest value in n, -2, 0? n Let t = -0.07 - 0.03. Which is the second smallest value? (a) t (b) 3 (c) -2 (d) -0.4 d Suppose 0*o = -o + 2*q + 12, 8 = -o - 3*q. Let w = -4.5 + 4. What is the second smallest value in o, 0.5, w? 0.5 Suppose 5*p = -19 + 4. Let u be 1 - 33/(-45)*p. Which is the second biggest value? (a) 0.1 (b) u (c) 2 a Let f be 4/(-20) - (-2)/10. Which is the second biggest value? (a) 2/11 (b) -1 (c) f c Let r = 12 - 14. Which is the third biggest value? (a) 1 (b) r (c) 5 b Let m = 2 - 4. Let h = -0.82 - -0.7. Let j = 0.08 - h. Which is the third biggest value? (a) m (b) j (c) 1 a Let s = 121.02 - 121. Suppose l - 2*r + 8 = 0, -3*l - 4*r = r + 2. Which is the second biggest value? (a) -3/8 (b) s (c) l a Suppose 0 = 3*z - z. Let f be 5/10*1/2. Let h = 2.9 + 0.1. Which is the second biggest value? (a) h (b) f (c) z b Let s = 2/2057 - 8270/43197. Let k = -5/84 + s. Which is the biggest value? (a) 4 (b) 0.2 (c) k a Let k be 6 - 1/1 - 0. Suppose -r = 3*r + 20, 5*s - r = -k. Let x(p) = 13*p - 403. Let i be x(31). What is the smallest value in -0.3, i, s? s Suppose 2*h + 0 = 2, 0 = -4*r + 5*h + 7. Which is the second smallest value? (a) r (b) 8 (c) 2/5 a Let z = 148/33 - 42/11. Let l = 2 + -1.9. Which is the smallest value? (a) z (b) -4/5 (c) l b Let d = -27 + 24. What is the second smallest value in d, 0.1, -2/43? -2/43 Let o = -6 + 3. Let z = 1.1 + -0.1. Let u = z + o. Which is the third biggest value? (a) u (b) -0.5 (c) 2/5 a Let n be 4/(-2) - (-2)/(16/14). What is the second biggest value in 3, 2, -3, n? 2 Let x = -71 - -69. Which is the second smallest value? (a) 0 (b) x (c) -1 c Let h be (-100)/45 + 4/2. Let v = -9 - -5. What is the second biggest value in v, 2/7, h? h Let m be (27/90)/(-2 + (-112)/(-50)). Let n = -0.3 + 0.1. Let z = n + 0.4. Which is the third smallest value? (a) m (b) z (c) 1/4 a Let s be 1 - (-1 + -2) - 1. Let u = 0.21 - 0.61. Which is the second smallest value? (a) s (b) u (c) -2/7 c Let w = -12 + 9. What is the second biggest value in -0.4, w, 1? -0.4 Let d = 0.06 + -1.06. What is the smallest value in 0.1, d, 1? d Let v = 1509045 - 54332137/36. Let w = v + 1078/9. Let q = -62 - w. Which is the third smallest value? (a) q (b) 0.4 (c) -1/4 b Let m = 91 - 541/6. Let v = 1/69 - -19/276. Let o be (7 + -5)/(1/2). Which is the second smallest value? (a) v (b) o (c) m c Let y = 0.073 + -0.173. What is the biggest value in -2, y, -3? y Let j = 37 + -37.43. Let p = 0.13 + j. Let k = -0.3 + -0.2. What is the second biggest value in k, -2/5, p? -2/5 Let i be ((-105)/(-3) + -1)/(-1). Let s = i - -137/4. What is the second smallest value in 0.5, s, 0.1? s Suppose 4*s + 36 = -20. Let q be 2 + 1 - (-44)/s. Which is the third biggest value? (a) q (b) 1 (c) 2/9 a Let h be (-10)/(-9)*(-10)/(-25). Which is the fourth smallest value? (a) -1/5 (b) h (c) 1/3 (d) -5/7 b Let u = 14.3 - 14. Which is the second biggest value? (a) -2/7 (b) u (c) -4 a Let f(k) = -k + 4. Let s be f(5). Let x be s*1 - 2/(-6). Let n = -91/2 - -44. Which is the smallest value? (a) 5 (b) x (c) n c Let s = -1/53 - -170/583. Which is the second smallest value? (a) 0.1 (b) -3 (c) -5 (d) s b Let f = -58903/2295 + -2/2295. Let d = 25 + f. Let t = -6/7 - -5/14. What is the second smallest value in -4, t, d? d Suppose -4*p + 5*g + 0 - 4 = 0, p + 1 = -5*g. Which is the second smallest value? (a) -2 (b) p (c) 5 b Let w = -11.08 - -11. Let s = -0.32 + w. Which is the smallest value? (a) 4 (b) -5 (c) s b Let d be ((-11)/(-55))/((-2)/5). What is the biggest value in d, 5, 4? 5 Let i = -646/7 + 92. Let s be 0 + -2*(-2)/(-8). Which is the third smallest value? (a) 2/11 (b) i (c) s a Let f = -36/13 - -206/65. Which is the second smallest value? (a) f (b) -5 (c) -1/2 c Let v = 0.4 - 0.8. Let a = 0.6 + v. Let b = a + -0.4. What is the second biggest value in -0.1, 4, b? -0.1 Let b = -11 + 10.99. Let p = -0.11 - b. What is the third smallest value in p, -2, 1? 1 Let i be -2 - 4*9/(-6). Let v be 1/(-4) + 17/4. Let t(j) = j**2 - 5*j + 3. Let p be t(v). Which is the biggest value? (a) p (b) i (c) -0.4 b Let a = -1769 - -493549/279. Let d = -536/3069 + a. What is the smallest value in d, 0.3, -4? -4 Suppose -1 + 3 = -2*w. Let s be (4/(-14))/(w/7). What is the biggest value in s, 0.1, -5? s Let y be 4/(-10) + (-54)/(-10). Suppose -y*x - 32 = -x. Let l be (-3)/(-4) + (-2)/x. What is the third biggest value in 2, -1, l? -1 Let q = -10 - -5. Let r = -0.01 + 4.01. Let l = -65/2 - -32. What is the biggest value in l, q, r? r Let t = -28 - -26. Which is the third biggest value? (a) -1 (b) t (c) 1/4 b Let d(t) = 4*t**3 - 3*t**2 - 4*t - 3. Let n be d(-2). Let y be -3*(80/n + 2). Let p be (-9)/6*(-10)/15. What is the biggest value in 0.5, p, y? p Let m be ((-10)/8)/((-2)/8). Let p = -6 - -6. What is the second smallest value in 1, m, p? 1 Let z = 62 - 121/2. What is the second smallest value in 5/3, 3, z? 5/3 Let r(h) = 2*h**2 - 6*h + 2. Let l be r(5). Suppose -3*k - 2 - l = 0. Let m be 2/k*(-2)/4. Which is the second biggest value? (a) 0.4 (b) -0.2 (c) m c Let q(f) = f**2 - 2*f - 5. Let l be q(4). Let r = l + -1. What is the third smallest value in r, 2/9, 3? 3 Let m = 0.38 + -0.58. What is the second biggest value in -0.5, m, -1/3? -1/3 Let j = 8 + -6. Let t = -0.01 + 1.01. Which is the third smallest value? (a) j (b) -4 (c) t a Let w = 0.9 - -6.1. Let o = w + -6.5. Which is the smallest value? (a) o (b) -0.3 (c) -0.5 c Let l = 43 - 303/7. Which is the fourth biggest value? (a) 5 (b) -1/2 (c) -5 (d) l c Suppose 3*n - 1 = 14. Suppose -5*h - 5*l = -5, -2*h + 11 = h + n*l. Which is the third biggest value? (a) 0 (b) 1 (c) h c Let t = -0.87 + 0.07. Let s = -0.5 - t. Suppose 5*p + 2 + 13 = 0. Which is the second biggest value? (a) 0.2 (b) p (c) s a Let d = -35.8 + 30. Let r = d + -1.2. Let p = 7 + r. What is the third smallest value in 0.3, p, -1? 0.3 Let n = 67/52 - 7/13. Which is the second biggest value? (a) n (b) -3 (c) -3/2 c Let g = 1/12 + -7/12. Which is the third smallest value? (a) g (b) -4/9 (c) 11 c Let l = 11.95 + 0.05. Let s = l - 12.2. Which is the second smallest value? (a) -1/6 (b) s (c) 3/2 a Let k be ((-2)/4)/((-1)/(-2)). Suppose 0 = -3*g + 5*j + 55, 0*g - 2*g = -3*j - 35. Let t be g/(-425)*(-5)/k. What is the biggest value in -2, t, -1? t Let r be 104/14 + -4 - 4. Which is the third smallest
{ "pile_set_name": "DM Mathematics" }
3*w = l. Let i(r) = 8*r**2 + 3*r - 1. Let f be i(3). Suppose 4*a - f = -w*a. List the prime factors of a. 2, 5 Let h be (4/3)/(6/9). Suppose n + a = h, -a + 2 = -n - 3*a. List the prime factors of n. 2, 3 Suppose 0 = 6*f - 3*f - 168. List the prime factors of f. 2, 7 Suppose -5*j - 4*g + 6 = 0, 3*g - 7*g - 4 = 0. What are the prime factors of (-15)/j*(-3 - -1)? 3, 5 Let u = -8 - -6. Let l be (u - -4)/((-2)/(-5)). Suppose 4 = -4*f - 4*g, 5*g = -f + 3*g - l. List the prime factors of f. 3 Let y = 2 + -7. Let u = 7 + y. List the prime factors of u. 2 Suppose 6*r - 10*r + 200 = 0. List the prime factors of r. 2, 5 Suppose -3*s + 69 + 63 = 0. List the prime factors of s. 2, 11 Suppose 2 = -2*f + 12. Suppose 15 = -0*b + f*b. List the prime factors of b. 3 What are the prime factors of (42/(-8))/((-27)/144)? 2, 7 Let f(r) = 57*r**2 - r + 1. Let v be f(1). Let p = v - 33. List the prime factors of p. 2, 3 Let u(p) = -p**3 + 7*p**2 + 8*p + 8. Let d(c) = 5*c - 2. Let o be d(2). Let s be u(o). Suppose 0 = i - 3*i + s. List the prime factors of i. 2 Suppose -n + 0*n = -13. Let z = n - 3. List the prime factors of z. 2, 5 Let a(n) = n**3 + 5*n**2 + 4*n + 2. Let j be a(-4). Suppose z = j*z - 3. Suppose -11 = -2*y + l, z = -4*y - 5*l + 4. List the prime factors of y. 2 Suppose i - 37 = s, -7 - 52 = -2*i - s. What are the prime factors of i? 2 Let p be -7 - -1 - (-8 - -10). What are the prime factors of 0 - 3 - -2 - p? 7 Suppose -11 = -5*l - 0*h + 3*h, 4*l + 2*h = 22. Let p be l/(-2) - (0 - 3). Let y = 6 + p. List the prime factors of y. 7 Let z = -81 - -190. What are the prime factors of z? 109 Suppose z - 2 = 5*p - 1, -3*p + 21 = 3*z. List the prime factors of z. 2, 3 Let l(d) = -4*d - 6*d + 3*d. Let h be l(2). Let w = h - -21. List the prime factors of w. 7 Let a(n) = -2*n**3 - n**2 + n + 1. Let u be a(-1). List the prime factors of (-1)/((-2)/(u + 9)). 5 Let t(v) be the third derivative of v**6/120 - v**5/30 - v**4/8 + v**3/3 + 3*v**2. List the prime factors of t(3). 2 Let k = 26 - 15. Let m be -2 - -5 - 8/1. Let t = m + k. List the prime factors of t. 2, 3 Let r be 2*-3*2/(-12). Let m(x) = 51*x**3 + x**2. What are the prime factors of m(r)? 2, 13 Suppose 2*n = 6*n + 16. List the prime factors of (-66)/n*20/15. 2, 11 Let c = -288 + 417. What are the prime factors of c? 3, 43 Let n = -43 + 72. What are the prime factors of n? 29 Suppose -22 = -4*x + 30. What are the prime factors of x? 13 List the prime factors of 8/(-20) + (-426)/(-15). 2, 7 Suppose 9 = -w + 4*w. Let r be (1 - -1) + -1 + w. List the prime factors of ((3 - r) + 0)*-14. 2, 7 Let k(w) be the third derivative of -w**5/60 - 7*w**4/24 + 2*w**3/3 + w**2. List the prime factors of k(-6). 2, 5 What are the prime factors of (65 - (1 - -3)) + -2? 59 Suppose -4*b - 4 = v + 8, 0 = 5*b - 3*v + 15. Suppose 4*g = -x + 2*x + 23, -x = -2*g + 11. List the prime factors of (g + -1)/(b/(-6)). 2, 5 Let f = -2 + -4. Suppose -4*g - a = -45, a + 51 = -g + 5*g. Let b = g + f. List the prime factors of b. 2, 3 Let z be 2/(-1 + 165/159). Let o be (-12)/(-66) - z/(-11). Suppose 5*p - 4*r - 60 = p, -p + o*r + 3 = 0. List the prime factors of p. 2, 3 Suppose m = 4*g - 80, -3*g + 2*m + 36 = -24. List the prime factors of g. 2, 5 Let p be (-85)/25 - (-4)/10. Let j = 8 + p. Suppose -5*q - 2 = 3*k, 3*q + j = 4*k - 31. What are the prime factors of k? 2, 3 Suppose -3 = 3*o - 0*o, 4*w = 5*o + 9. Let s be (4/(-4))/(w/(-91)). What are the prime factors of s/14 - (-1)/2? 7 Let n(q) be the third derivative of q**4/8 + q**3 - 6*q**2. What are the prime factors of n(6)? 2, 3 Let g = 136 + -85. Suppose p + 2*p = g. Suppose -l + p - 4 = 0. List the prime factors of l. 13 Let l = -3 - -6. Suppose 6*z - l*z = 12. What are the prime factors of z? 2 Let r = 49 + 24. List the prime factors of r. 73 Suppose -a + 4*h = -9, -2*a + 5*h - 61 = -5*a. What are the prime factors of a? 17 Suppose 0 = -k + c + 200, -c + 5*c + 392 = 2*k. What are the prime factors of k? 2, 3, 17 Let f = -91 + 190. List the prime factors of f. 3, 11 Let r(f) = -f**3 + 18*f**2 + 26*f - 20. List the prime factors of r(19). 113 Let a(n) = 5 + 0*n**2 - 1 - 3*n - n**2 + 3*n**2. Suppose 5*t = -2*f + 25, f + 8 = 4*t + 1. What are the prime factors of a(t)? 13 Let x = -43 - -97. What are the prime factors of x? 2, 3 Let b = -3 + 0. Let c = b + 7. Suppose -c*a = f + 4*f - 88, a + 63 = 3*f. What are the prime factors of f? 2, 5 Let m = -29 + 47. List the prime factors of m. 2, 3 Let w = -115 + 196. What are the prime factors of w? 3 Let w(a) = a**3 + 14*a**2 + 9*a + 51. List the prime factors of w(-10). 19 Let z(y) = -y**3 + 8*y**2 + y - 1. Let p be z(8). Let u(h) = 4*h - 8. What are the prime factors of u(p)? 2, 5 Suppose -5*g + 1502 = -2*r, 0*g = -2*g - 5*r + 624. What are the prime factors of g? 2, 151 List the prime factors of 5/(69/(-24) + 3). 2, 5 Let i(s) = -2 + 2 + 2*s - 2. Let h be -3*(-3 + (-2 - -4)). What are the prime factors of i(h)? 2 Let u(y) = y**3 - 5*y**2 + 7*y - 2. Let i be u(5). Suppose i = 2*b + 2*r + r, -4*b = -5*r - 33. What are the prime factors of b? 2, 3 Let z(a) = 6*a**3 + a**2 - a + 1. Let b be (-5)/(-5)*(-2)/(-2). List the prime factors of z(b). 7 Let p = 1 - -4. Suppose -3*y - y - p*d = -43, 2*y - 14 = -4*d. List the prime factors of y. 17 Suppose 353 = -5*n - 237. What are the prime factors of n/(-10) + (-2)/(-10)? 2, 3 Let g(r) = 7*r**3 - 2*r**2 - r + 2. What are the prime factors of g(2)? 2, 3 Let z = 3 - 3. Suppose 4*o = -z + 4. List the prime factors of (0 + -3)/((-1)/o). 3 Suppose -2 = -0*g + g. Suppose -6*o - 36 = -2*o + h, 5*h + 30 = -5*o. Let n = g - o. List the prime factors of n. 2 Let h(m) = -m**3 - 5*m**2 - 4*m + 4. Let r be h(-4). Suppose -r*c + 68 - 8 = 0. What are the prime factors of c? 3, 5 Suppose -72 = 4*y - 6*y. Suppose -3*j + 6*j = y. List the prime factors of j. 2, 3 Let x(a) = -a**2 - 1. Let k = -18 - -13. Let l(z) = -6*z**2 + 6*z - 11. Let j(o) = k*x(o) + l(o). What are the prime factors of j(4)? 2 What are the prime factors of -4*(114/(-4))/3? 2, 19 Let o(l) = 29*l + 9. What are the prime factors of o(2)? 67 Suppose 3*a = h - 5*h + 44, 4*a = -4*h + 56. Suppose 5*g = 2*g + a. List the prime factors of g. 2 Let a = -178 + 327. List the prime factors of a. 149 Let w = 52 - 97. Let k = -32 - w. What are the prime factors of k? 13 Let t(b) = -6*b**2 + 1. Let f be t(-1). Let q(h) be the third derivative of -h**6/120 - h**5/15 + h**4/8 - h**3/2 - 3*h**2. What are the prime factors of q(f)? 7 Let u be 1/(-6) + 78/36. List the prime factors of 0 + (-69)/(-3) - u. 3, 7 Let j(u) = -3*u**3 - 2*u - 1. Let z = 3 + -4. Let q be j(z). Let d(t) = t + 3. What are the prime factors of d(q)? 7 Let m(n) be the third derivative of 0*n + 0 - n**3 - 2*n**2 - 1/60*n**5 + 5/12*n**4. What are the prime factors of m(8)? 2, 5 Let r(v) = -v**2 - 22*v + 45. What are the prime factors of r(-22)? 3, 5 Let p be 1*2/4*6. Suppose p*w = -w - 12. List the prime factors of (0 + -1)*(-10 - w). 7 Suppose 0 = -3*y + y - 4, 3*m = -3*y + 18. Let f(p) = p**3 - 6*p**2 - 12*p + 5. List the prime factors of f(m). 37 Suppose -4*g - 3*z + 399 = 0, 0 = 5*g - g + z - 405. List the prime factors of g. 2, 3, 17 Suppose 3*p = -4*y + 7*p + 136, 3*y + p = 110. List the prime factors of (-8)/y + (-580)/(-18). 2 List the prime factors of ((-183)/(-9))/(-1)*-3. 61 Let p(f) = -4*f + 3. Let h = -5 - -12. Suppose -h*u - 15 = -2*u. What are the prime factors of p(u)? 3, 5 Let g = -7 + 3. Let n(d) = -10*d - 4. What are the prime factors of n(g)? 2, 3 Let b = -77 + 130. Let g = 78 - b. What are the prime factors of g? 5 Let a = 238 - 168. List the prime factors of a. 2, 5, 7 Let v = 19 + -1. Suppose -j - v = j. What are the prime factors of 6/j*9/(-2)? 3 Suppose -32 = 4*o - 4*f, 15 = -5*o + 4*f - 21. Let t be (2/o)/(3/36). Let g(q) = -q + 2. What are the prime factors of g(t)? 2 Let x = 23 - 16. List the prime factors of x. 7 Let g be (43 - -1)/2 + 2. What are the prime factors of g/15*(0 + 5)? 2 Let r = 8 + 7. List the prime factors of r. 3, 5 Let a(d) = d**3 + 17*d**2 + 26*d + 25. What are the prime factors of a(-14)? 3, 83 Let x(z) = -z**3 + 8*z**2 + 12*z + 7. Let u be x(9). Let q = -24 + u. What are the prime factors of q? 2, 5 Let s(h) be the first derivative of 4*h**3/3 + h
{ "pile_set_name": "DM Mathematics" }
500? 1182 Calculate the greatest common divisor of 82968 and 24. 24 Calculate the greatest common divisor of 130 and 98215. 65 What is the highest common factor of 29736 and 567? 63 Calculate the greatest common divisor of 609 and 83391. 21 What is the highest common factor of 415952 and 64? 16 What is the highest common factor of 256127 and 697? 41 Calculate the greatest common factor of 6 and 192141. 3 What is the highest common factor of 13475 and 143? 11 What is the greatest common factor of 182471 and 1? 1 What is the highest common divisor of 4480 and 76860? 140 What is the greatest common factor of 726642 and 553? 553 What is the greatest common factor of 2318 and 14762? 122 Calculate the greatest common divisor of 31783 and 111. 37 What is the highest common divisor of 51036 and 24? 12 Calculate the greatest common divisor of 4214 and 1960. 98 Calculate the highest common divisor of 16360 and 230. 10 Calculate the greatest common factor of 491230 and 60. 10 Calculate the highest common factor of 943 and 23782. 23 What is the greatest common factor of 137200 and 4480? 560 Calculate the greatest common divisor of 138335 and 292. 73 What is the greatest common divisor of 3921 and 1371043? 1307 Calculate the greatest common divisor of 4191198 and 33. 33 Calculate the greatest common factor of 100555 and 19805. 85 Calculate the greatest common factor of 10650 and 570. 30 Calculate the greatest common divisor of 273 and 3381. 21 Calculate the highest common factor of 1813649 and 771. 257 Calculate the greatest common factor of 65798 and 3674. 334 Calculate the greatest common factor of 4 and 49372. 4 What is the greatest common divisor of 80665 and 680? 85 What is the greatest common factor of 15 and 59154? 3 Calculate the highest common divisor of 236834 and 39. 13 What is the greatest common factor of 75240 and 390? 30 Calculate the greatest common factor of 29475 and 765. 45 Calculate the greatest common divisor of 9 and 1299528. 9 Calculate the greatest common divisor of 11836 and 8339. 269 What is the greatest common factor of 371 and 6867? 7 What is the greatest common divisor of 115 and 31142? 23 What is the greatest common divisor of 54692 and 8362? 226 Calculate the greatest common factor of 45 and 1775. 5 Calculate the greatest common divisor of 34101 and 2511. 81 What is the greatest common divisor of 30 and 20830? 10 What is the greatest common divisor of 1414 and 165034? 202 Calculate the greatest common factor of 131564 and 186. 62 What is the greatest common factor of 3512 and 1869701? 439 Calculate the highest common divisor of 589 and 456. 19 Calculate the highest common factor of 49 and 2384389. 49 Calculate the greatest common divisor of 104668 and 1719. 191 What is the greatest common factor of 3056 and 355833? 191 What is the highest common factor of 944 and 592301? 59 Calculate the greatest common factor of 376 and 731132. 188 What is the highest common factor of 32 and 106208? 32 Calculate the greatest common divisor of 738 and 5494. 82 Calculate the greatest common divisor of 1681 and 3608. 41 Calculate the greatest common factor of 624505 and 98. 49 Calculate the greatest common divisor of 1011 and 54931. 337 Calculate the highest common factor of 16 and 768688. 16 What is the highest common factor of 25410 and 10500? 210 What is the greatest common divisor of 56 and 167736? 8 Calculate the greatest common factor of 258 and 143061. 129 What is the highest common factor of 2644 and 32389? 661 What is the highest common factor of 492375 and 606? 303 What is the highest common factor of 10608 and 15028? 884 Calculate the greatest common factor of 4183353 and 1107. 1107 Calculate the greatest common divisor of 5566 and 2519. 11 Calculate the greatest common divisor of 2891 and 35. 7 What is the highest common factor of 2006 and 3? 1 What is the greatest common divisor of 1841341 and 3459? 1153 What is the highest common divisor of 18 and 74442? 6 What is the greatest common factor of 14707 and 2079? 77 What is the highest common divisor of 495 and 9075? 165 What is the highest common factor of 972 and 1524582? 486 What is the greatest common divisor of 889 and 6181? 7 What is the greatest common factor of 85 and 1225054? 17 Calculate the highest common factor of 66375 and 5310. 2655 Calculate the highest common divisor of 9306 and 792. 198 What is the greatest common factor of 16314 and 12? 6 What is the greatest common divisor of 14625 and 66105? 585 Calculate the highest common factor of 28392 and 2392. 104 What is the greatest common factor of 1901 and 2? 1 Calculate the highest common factor of 258 and 29148. 6 Calculate the greatest common factor of 55990 and 550. 110 What is the highest common factor of 21 and 3668924? 7 Calculate the highest common factor of 346550 and 1434. 478 Calculate the greatest common factor of 216645 and 660. 165 Calculate the greatest common divisor of 18 and 30906. 18 Calculate the greatest common factor of 7917 and 23403. 87 What is the highest common factor of 341145 and 7? 7 What is the greatest common factor of 290 and 39210? 10 Calculate the greatest common factor of 297 and 465057. 9 Calculate the greatest common divisor of 689210 and 820. 410 Calculate the highest common factor of 504352 and 608. 32 Calculate the greatest common divisor of 209 and 56563. 19 Calculate the greatest common divisor of 785778 and 14. 14 What is the highest common factor of 67 and 308401? 67 What is the highest common factor of 31255 and 190? 95 Calculate the highest common divisor of 2980 and 1000. 20 What is the highest common factor of 18144 and 3339? 63 What is the greatest common divisor of 644 and 736? 92 Calculate the greatest common divisor of 493980 and 60. 60 Calculate the greatest common divisor of 1026 and 133950. 114 What is the highest common factor of 504 and 263826? 18 What is the highest common factor of 957 and 43935? 87 What is the highest common divisor of 930 and 150? 30 Calculate the greatest common factor of 4242 and 12524. 202 Calculate the greatest common factor of 725 and 2292305. 145 What is the greatest common factor of 247 and 7182? 19 Calculate the greatest common factor of 3795 and 30. 15 Calculate the greatest common factor of 242 and 63646. 242 What is the greatest common divisor of 212 and 460729? 53 Calculate the highest common divisor of 4266 and 45. 9 Calculate the highest common factor of 306 and 28. 2 Calculate the greatest common factor of 13182 and 312. 78 What is the highest common divisor of 5148 and 5676? 132 Calculate the highest common factor of 144072 and 2376. 216 What is the highest common divisor of 550 and 3450? 50 Calculate the greatest common factor of 4436 and 52. 4 What is the highest common factor of 434 and 35371? 217 What is the greatest common factor of 5700 and 22200? 300 Calculate the greatest common factor of 14651 and 20033. 299 What is the greatest common factor of 69 and 22443? 3 What is the highest common factor of 34 and 160004? 34 What is the highest common factor of 1848984 and 72? 24 Calculate the greatest common divisor of 48843 and 67. 67 What is the highest common divisor of 50 and 797600? 50 What is the highest common factor of 5964 and 9660? 84 Calculate the highest common factor of 272 and 9588. 68 Calculate the greatest common factor of 5166 and 1827. 63 Calculate the greatest common divisor of 17324 and 8236. 284 What is the greatest common divisor of 692772 and 12? 12 Calculate the highest common factor of 2542296 and 24. 24 What is the greatest common factor of 293273 and 1909? 23 What is the greatest common divisor of 234 and 567? 9 What is the highest common divisor of 333024 and 192? 96 Calculate the highest common factor of 7920 and 1836. 36 Calculate the greatest common factor of 559810 and 356. 178 What is the greatest common factor of 74 and 905612? 74 Calculate the highest common factor of 760 and 130644. 76 Calculate the highest common factor of 39 and 2171611. 13 Calculate the highest common factor of 1144533 and 78. 39 What is the greatest common factor of 1092 and 3331146? 546 Calculate the highest common divisor of 36 and 2176. 4 Calculate the greatest common factor of 6747 and 130. 13 Calculate the highest
{ "pile_set_name": "DM Mathematics" }
- 1)*(5*a - 4)/2 Let n be 6 - (69/12 - (-9)/36). Factor 0 + 0*y + n*y**2 + 2/11*y**3. 2*y**3/11 Let q(n) be the first derivative of n**3 - 3*n**2 + 3*n - 1. Suppose q(w) = 0. What is w? 1 Let k = 35 - 22. Factor -13 + 4*f**2 + k - 2*f**3. -2*f**2*(f - 2) Let t be 8 - 2/(-3)*-3. Let j be (t/8)/(2/8). Let 0 + 0*c**4 + 0*c**2 - 2/3*c**j + 1/3*c + 1/3*c**5 = 0. Calculate c. -1, 0, 1 Let k(i) be the third derivative of 2*i**2 + 1/105*i**7 + 0*i**3 - 1/12*i**4 + 0 - 1/30*i**5 + 1/60*i**6 + 0*i. Factor k(q). 2*q*(q - 1)*(q + 1)**2 Let c(h) = 3*h**4 + 9*h**2 - 6*h - 6. Let w(l) = 4*l**4 + 10*l**2 - 7*l - 7. Let z(m) = 7*c(m) - 6*w(m). Find t, given that z(t) = 0. -1, 0, 1 Factor 0 - 1/5*r + 0*r**2 + 1/5*r**3. r*(r - 1)*(r + 1)/5 Determine s, given that 2/5*s + 2/5*s**2 + 0 = 0. -1, 0 Let h = -6 - -4. Let j(p) = -3*p**4 + 1 - 2*p**4 - 4*p**3 + 1 + 4*p. Let a(n) = 4*n**4 + 4*n**3 - 4*n - 2. Let x(k) = h*j(k) - 3*a(k). Factor x(m). -2*(m - 1)*(m + 1)**3 Let l = -32 + 34. Suppose l*b - 2*u + 21 = -7*u, 5*u = -3*b - 19. What is s in 2/9*s**b + 2/3*s + 4/9 = 0? -2, -1 Let w(q) = -82*q**4 + 360*q**3 - 127*q**2 - 137*q - 22. Let p(g) = -575*g**4 + 2520*g**3 - 890*g**2 - 960*g - 155. Let x(t) = 2*p(t) - 15*w(t). Factor x(s). 5*(s - 4)*(s - 1)*(4*s + 1)**2 Let x = -24 + 28. Factor -2/3*t**x + 0 + 2/3*t**2 + 0*t**3 + 0*t. -2*t**2*(t - 1)*(t + 1)/3 Suppose 6*b - 5*z = b, 5*b = -2*z + 14. Solve 4*y + 2 - 9/2*y**3 - 3/2*y**b = 0. -2/3, 1 Let p(q) be the first derivative of q**2 - 1/3*q**3 + 3 + 0*q. Factor p(f). -f*(f - 2) Let w(u) be the first derivative of -u**6/720 - u**5/120 - 8*u**3/3 + 11. Let i(p) be the third derivative of w(p). Solve i(c) = 0 for c. -2, 0 Let x(t) be the third derivative of -t**8/3360 + t**6/720 + t**3/2 - 3*t**2. Let i(m) be the first derivative of x(m). Factor i(k). -k**2*(k - 1)*(k + 1)/2 Let k(s) be the second derivative of 3*s**5/20 + 10*s. Find z, given that k(z) = 0. 0 Suppose 2*v + 0*v + 3*h - 15 = 0, -4*v + 4*h - 20 = 0. Suppose v = 4*x - x. Factor x + 0*c + 0*c**4 + 0*c**2 + 2/5*c**5 - 2/5*c**3. 2*c**3*(c - 1)*(c + 1)/5 Let y = 2129/5 - 425. Factor -2/5*k**2 + 2/5*k + y. -2*(k - 2)*(k + 1)/5 Factor -2/3*b**3 - 200*b + 2000/3 + 20*b**2. -2*(b - 10)**3/3 Let r(k) = 3*k. Let h be r(1). Factor -y**5 + 2*y**4 - 3*y**2 - h*y**2 + y**3 + 0*y**3 + 4*y**2. -y**2*(y - 2)*(y - 1)*(y + 1) Let z = 377/5 + -75. What is r in -2/5 + 4/5*r - z*r**2 = 0? 1 Let 2/3 - y + 1/3*y**2 = 0. Calculate y. 1, 2 Let h(z) = 2*z**2 - 6*z - 2. Let y(g) = g**2 - g + 1. Let s(f) = h(f) + 2*y(f). What is x in s(x) = 0? 0, 2 Suppose -2*f + 16 + 2 = 0. Suppose -6 - 11 = 4*r + 5*s, 0 = -3*r - 5*s - 19. Factor -x + x**2 - f - r*x + 11. (x - 2)*(x - 1) Let a = 78 - 75. What is t in -2/7 + 0*t**2 - 3/7*t + 1/7*t**a = 0? -1, 2 Let k be (100/6)/((-28)/42). Let j = k + 28. Find q, given that -3/4*q + 1/4 - 1/4*q**j + 3/4*q**2 = 0. 1 Let b(t) = 8*t**2 + 41*t + 108. Let p(r) = 33*r**2 + 165*r + 432. Let c(f) = -21*b(f) + 5*p(f). Factor c(d). -3*(d + 6)**2 Let w = 18 + -20. Let v be ((-6)/w)/((-270)/(-20)). Find n such that -v*n**2 - 4/9*n - 2/9 = 0. -1 Let j(x) be the first derivative of -x**5/10 + x**4/8 + x**3/6 - x**2/4 + 8. Suppose j(r) = 0. Calculate r. -1, 0, 1 Let k(f) = f**2 - 10*f + 12. Let i be k(9). Let 2*y + 5*y - i*y - 2*y**2 + 0*y = 0. What is y? 0, 2 Let s(m) = 4*m**2 + m + 1. Let j be s(-1). Suppose 3*c + 5 + 1 = j*v, 0 = -3*c - 2*v + 12. Solve 2/9*z**c + 2/9*z - 2/9*z**4 - 2/9*z**3 + 0 = 0 for z. -1, 0, 1 Suppose 5*z + 3*q = 3*z + 1, -3*z - q + 5 = 0. Determine g, given that 0 + 2/9*g**z + 2/3*g = 0. -3, 0 Let a = 28 + -26. Determine l, given that 0*l**a - 1/4*l**4 + 0 + 0*l**3 + 0*l = 0. 0 Suppose -36 = -4*k + 4*s, 3*k = k + 5*s + 30. Suppose -2*z - r = -2, 6 = z - 2*r + k*r. Suppose z*t + 0 - 3/7*t**3 - 6/7*t**2 = 0. What is t? -2, 0 Let n = 1801/12 + -150. Let y(p) be the third derivative of n*p**6 + 11/15*p**4 - 7/15*p**5 + 0*p - 8/15*p**3 + 0 - 2*p**2. Suppose y(v) = 0. Calculate v. 2/5, 2 Solve 10/9*a**2 + 2/3 - 14/9*a - 2/9*a**3 = 0 for a. 1, 3 Let l(d) = -2*d**2 - d - 5. Let f(i) be the first derivative of i**3 + i**2 + 8*i + 2. Let v(y) = -5*f(y) - 8*l(y). Suppose v(n) = 0. What is n? 0, 2 Let t(j) be the first derivative of -1/18*j**4 + 0*j + 0*j**3 + 4 + 2/45*j**5 + 0*j**2. What is u in t(u) = 0? 0, 1 Let q be 14/(-5) - (-3)/(-15). Let n be q/(-2)*(-4 - -10). Solve -2*h**4 - 9*h**2 - 3*h**5 + n*h**2 = 0. -2/3, 0 Factor 0*q - 1/2*q**4 + 0*q**2 + 0*q**3 + 0. -q**4/2 Let f(w) be the first derivative of 1/14*w**4 + 0*w + 6 - 4/21*w**3 + 0*w**2. Factor f(g). 2*g**2*(g - 2)/7 Factor 0*v - 6*v + 16 - v**2 + 2*v - v**2. -2*(v - 2)*(v + 4) Let x(p) be the third derivative of p**6/420 - p**5/70 + p**4/28 - p**3/21 + 3*p**2. Solve x(r) = 0 for r. 1 Let 0 + 0*p - 4/5*p**2 = 0. Calculate p. 0 Let j(s) be the first derivative of 77/36*s**4 + 2/3*s**2 - 16/9*s**3 + 2*s - 49/60*s**5 + 2. Let d(x) be the first derivative of j(x). What is f in d(f) = 0? 2/7, 1 Let l(g) = g**2 + 1. Let f(s) be the third derivative of s**7/105 + s**3 + 2*s**2. Let n(i) = f(i) - 4*l(i). Factor n(x). 2*(x - 1)**2*(x + 1)**2 Factor 4/5*z**2 - 1/5*z**3 - 3/5*z + 0. -z*(z - 3)*(z - 1)/5 Let d = -7/6 - -43/30. Find q, given that 8/15*q**3 + d - 6/5*q + 2/5*q**2 = 0. -2, 1/4, 1 Let o = -18/13 - -121/78. Let d(r) be the second derivative of 0*r**2 - 2*r + 1/12*r**4 + 0 - o*r**3. Find a such that d(a) = 0. 0, 1 Let z(f) = -f**3 + 2*f - 1. Let p be z(-2). Find q such that -2*q**5 + p*q**3 + 3*q**5 + 0*q**3 - 4*q**3 = 0. -1, 0, 1 Let z = 9 + -3. Let u(t) = -t**2 + 7*t - 3. Let m be u(z). Factor g**m + 12*g**4 + 9*g**5 + 3*g + 0*g**2 - 8*g**3 - 18*g**2 - 5*g**3 + 6. 3*(g - 1)*(g + 1)**3*(3*g - 2) Let h(v) be the second derivative of -3*v**6/40 - 29*v**5/80 - 11*v**4/16 - 5*v**3/8 - v**2/4 - 9*v. Factor h(p). -(p + 1)**3*(9*p + 2)/4 Let p(u) be the first derivative of 4 + 2/7*u**3 + 0*u + 2/7*u**2. Factor p(l). 2*l*(3*l + 2)/7 Let d be 0/(-5)*2/6. Let b(n) be the third derivative of 0*n - 1/10*n**5 + 0*n**3 + 2*n**2 + 1/12*n**4 + d + 3/80*n**6. Factor b(p). p*(3*p - 2)**2/2 Let y = 1316/29 - -2526/145. Let h = 63 - y. Determine u so that 1/5*u + 2/5 - h*u**2 = 0. -1, 2 Let b be (-4)/(-2) + 2 - 4. Determine k so that 2/5*k**3 + 4/5*k**4 - 2/5*k**2 + 0 + b*k = 0. -1, 0, 1/2 Let h be 110/20 - (-1)/(-2). Suppose 14*v**3 - 2*v**3 + 3*v**2 - 7*v**5 - 5*v**h - 3*v**4 = 0. Calculate v. -1, -1/4, 0, 1 Suppose 3*z - r - 6 = -0*r, 3*z - 6 = 4*r. Determine c, given that -z*c + c - 9*c**3 - 6*c**2 - 3*c + 3*c = 0. -1/3, 0 Let i be -2 + 0 - (-26)/12. Let u = 43/276 + 1/92. Factor 1/3*m - i - u*m**2. -(m - 1)**2/6 Let j(d) be the third derivative of 4/3*d**3 + 0 - 1/6*d**5 + 3*d**2 + 0*d - 2/3*d**4. Let j(y) = 0. Calculate y. -2, 2/5 Let o(y) be the second derivative of -1/36*y**4 - y + 1/120*y**5 + 0*y**2 + 1/36*y**3 + 0. Factor o(v). v*(v - 1)**2/6 Let h(d) be the first derivative of -1/2*d**4 - 5 + 0*d + 4/3*d**3 + 0*d**2. Determine v, given that h(v) = 0. 0, 2 Suppose -3*g - 16 = -5*v, -3*g + 8 = -7*g. Factor 2/9*d**3 + 0*d + 8/9 - 2/3*d**v. 2*(d - 2)**2*(d + 1)/9 Let x(r) = r + 1. Let v(l) = -2*l**4 - 4*l**3 + 8*l + 6. Let h(j) = v(j) - 4*x(j). Find o such that h(o) = 0. -1, 1 Let i = -2/2075 + 24914/14525. Factor 36/7*y - i - 15/7*y**2. -3*(y - 2)*(5*y - 2)/7 Let g = -4 - -6. Suppose 0 = g*b + 10, -3*a = -8*a - b + 35. Solve 2*f**2 - 8*f + a + 0*f**2 + 0 = 0 for f. 2 Let q(m) = -13*m**3 - 63*m**2 - 423*m - 864. Let g(w) = 6*w**3 + 32*w**2 + 212*w + 432. Let z(v) = 9*g(v) + 4*q(v). Suppose z(n) = 0. Calculate n. -6 Let o(u) = -u**3 - 8*u**2 - 8*u + 5. Let k be o(-7). Let r = -9 + k. Determine a so that -2/9*a**r + 2/9*a + 0*a**2 + 0 = 0. -1, 0, 1 Let f(t) be the third derivative of -5*t**2 - 1/180*t**5 + 0*t + 0*t**3 + 0 + 1/72*t**4. Factor f(v). -v*(v - 1)/3 Let q(i) = 14*i**4 + 13*i**3 - 7*i**2 - 17*i - 1. Let d(k) = 225*k**4 + 207*k**3 - 111*k**2 - 273*k - 15. Let b(j) = 2*d(j) - 33*q(j). Solve b(o) = 0. -1, -1/4, 1 Let b(n) be the second derivative of -5*n**9/3024 + n**8/560 + n**7/420 + n**3 - 3*n. Let q(r) be the second derivative of b(r). Determine k so that q(k) = 0. -2/5, 0, 1 Suppose 35*w - 30*w - 25 = 0. Suppose -2*v**4 + 1/2*v**w + 1/2*v + 3*v**3 - 2*v**2 + 0 = 0. What is v? 0, 1 Let t(o)
{ "pile_set_name": "DM Mathematics" }
v) + g(v). -2*v + 16 Let g(n) = n - 7. Suppose -a = 4*m + 40 - 44, m + 14 = -4*a. Let z(j) be the first derivative of 1/2*j**m + 5 - 6*j. Give 6*g(l) - 7*z(l). -l Let y(f) = 2*f**3 - 9*f**2 + 105*f. Let z(p) = 4*p**2 - 54*p. Determine 2*y(v) + 5*z(v). 4*v**3 + 2*v**2 - 60*v Let t(f) = -f - 7. Suppose 0 = 3*v - 2*v + 5, 40 = -5*r - 3*v. Let y(l) be the second derivative of l**3/6 + 2*l**2 - 489*l. Calculate r*y(u) - 3*t(u). -2*u + 1 Let h(u) = -5*u + 6. Let r(b) = -b**3 + 7*b**2 - 7*b - 1. Let w be r(6). Let l(v) = -269*v + 275*v - 4 - 1 - 2. Give w*h(s) - 6*l(s). -s Let f(i) be the first derivative of -i**4/2 - 3*i**3 - 3*i**2/2 - 419. Let g(c) = -2*c**3 - 10*c**2 - 4*c. What is 5*f(m) - 4*g(m)? -2*m**3 - 5*m**2 + m Let u(r) = 15*r - 4. Let i(t) = 62*t - 17. Calculate 6*i(k) - 26*u(k). -18*k + 2 Let y(r) = -93*r - 7. Let b(l) = 48*l + 3. Determine -5*b(i) - 3*y(i). 39*i + 6 Let u(b) = -b + 1. Let w(p) = -5*p + 7. Let q = -32 - -33. Suppose -16 = 3*a + f, -2*a - a - 2*f = 20. Determine a*u(l) + q*w(l). -l + 3 Let z(o) = o. Let y(d) = 28*d - 21. Let g(i) = 2*i - 3. Let x(s) = -7*g(s) + y(s). Determine x(l) - 5*z(l). 9*l Let t(g) = g + 8. Let f be t(-14). Let q(x) = -2*x. Let m(l) = 12*l. What is f*m(u) - 34*q(u)? -4*u Let f(t) be the second derivative of t**2/2 - t. Suppose -5*c = -2*c + 12. Let m(k) = k + 3 + 0*k + k. Give c*f(x) + m(x). 2*x - 1 Suppose 0 = 2*t + 3*c + 1, 0 = t + 4*c - 2*c + 2. Let h(r) = 2*r + 5. Let o(j) = 21. Let n(w) = -31. Let g(k) = 2*n(k) + 3*o(k). Calculate t*g(m) - h(m). -2*m - 1 Let r(a) = 454*a**2 + 6*a + 31. Let l(j) = -453*j**2 - 7*j - 36. What is -6*l(y) - 7*r(y)? -460*y**2 - 1 Let r = -134 + 151. Let d(j) = -7*j**2 + 17. Let w(o) = 2*o**2 - 6. Give r*w(n) + 6*d(n). -8*n**2 Let x(t) = t + 2. Suppose -4*r + 3*g - 21 = -5*r, 3*r = -g + 95. Let l(a) = 5*a + 11. Calculate r*x(z) - 6*l(z). 3*z Let i(l) = 48545*l**2 - 657. Let g(t) = -148*t**2 + 2. Give 657*g(d) + 2*i(d). -146*d**2 Let g(q) be the third derivative of -q**5/60 + q**4/8 - 6*q**2. Let n(s) = s**2 - 2*s. Let j be -9 + 0 + 6 - -1. Determine j*g(z) - 3*n(z). -z**2 Let r(d) = -13*d + 4*d**2 + 11*d - 24*d**3 + 17*d**3. Let p(s) = -6*s**3 + 3*s**2 - 2*s. What is 4*p(t) - 3*r(t)? -3*t**3 - 2*t Let w(n) = -2*n**2 + 6*n. Let d(q) be the third derivative of 0 + 0*q + 1/10*q**5 - 17/24*q**4 - 19*q**2 + 0*q**3. Give 6*d(y) + 17*w(y). 2*y**2 Let f(l) = -2*l**2 + 6*l + 6. Let w(z) = -2 - 11*z + 1 + 4*z + 6*z. Suppose 2*j - 3 = 1. Suppose -j*t + 3 - 5 = 0. Calculate t*f(u) - 6*w(u). 2*u**2 Suppose -4*z = x - 9, 8*x - 4*z = 11*x - 3. Let v(s) = 5*s**3 + 4*s - 8. Let a(m) = 4*m**3 + 3*m - 7. Determine x*v(o) + 4*a(o). o**3 - 4 Let v(p) = -11*p - 4. Let k(o) = -155*o - 55. Suppose 3*t = -4*b - 22, 18*t = 2*b + 15*t + 2. Give b*k(m) + 55*v(m). 15*m Let s = 421 - 416. Let c(r) = -10*r**2 + 3*r + 7. Let g(a) be the third derivative of -7*a**5/60 + a**4/12 + 5*a**3/6 + a**2. What is s*c(d) - 7*g(d)? -d**2 + d Let p(c) be the first derivative of -11*c**3/3 - 8*c - 587. Let f(n) = -2*n**2 + 3. Let t(k) = -k**2 + 3. Let z(m) = -5*f(m) + 6*t(m). Give 3*p(i) + 8*z(i). -i**2 Let v(c) = -20*c - 3. Let s(o) = 14*o + 2. Give -7*s(y) - 5*v(y). 2*y + 1 Suppose 5*q = -0*q + 75. Suppose -q - 1 = -2*w. Let b(j) = 5*j**3 - 6*j**2 - 8*j - 8. Let c(z) = -3*z**3 + 4*z**2 + 5*z + 5. What is w*c(r) + 5*b(r)? r**3 + 2*r**2 Let j(q) = -q**2 + 12*q**2 - 6*q**2 - 5*q. Let r(z) = -9*z**2 + 4*z. Let v(w) = -4*w**2 + 2*w. Let k(a) = -2*r(a) + 5*v(a). Calculate 3*j(s) + 8*k(s). -s**2 + s Let v(q) = 670*q**3 + 45*q + 45. Let g(y) = -61*y**3 - 4*y - 4. Calculate -45*g(z) - 4*v(z). 65*z**3 Let u = 7 + -2. Let x(c) = 17*c - 2 + 2*c**2 - 7*c + 6 - 41*c + 26*c. Let m(v) = 2*v**2 - 6*v + 5. Determine u*x(p) - 4*m(p). 2*p**2 - p Let y(b) = 5*b**2 - 5*b + 145. Let p(l) = 3*l**2 - 3*l + 72. Determine 7*p(x) - 4*y(x). x**2 - x - 76 Let y(v) = -6*v**3 + 56*v**2 - 3. Let r(i) = -5*i**3 + 56*i**2 - 2. Determine -3*r(m) + 2*y(m). 3*m**3 - 56*m**2 Let n(k) = 11 + 9*k**2 - k**3 - 3*k - 2*k - 3*k**2 - 6. Let g be n(5). Let l(x) = -2*x**3 - 5*x**2 - 3*x. Let q(s) = s**2 + s. Give g*q(a) + l(a). -2*a**3 + 2*a Let n(q) = q - 1. Let g = -2 - -5. Suppose -5*z + 20 = 0, 4*a = 3*a - 5*z + 33. Let f(r) = -24 + 2*r + 9 + a. Give g*f(b) - 4*n(b). 2*b - 2 Let p(r) = -4*r + 265. Let k(x) = -6*x + 397. Calculate 5*k(i) - 8*p(i). 2*i - 135 Let z(m) = -9*m - 19. Let x(o) = -8*o - 21. Calculate 7*x(n) - 6*z(n). -2*n - 33 Let k(s) = 1275*s**3 - 35*s + 35. Let d(n) = 75*n**3 - 2*n + 2. Calculate 70*d(c) - 4*k(c). 150*c**3 Let k(c) = 2*c**3. Let t be k(1). Suppose 1 = u - t*u. Let i(j) = -j**3 + j**2 + 1. Let y(b) = 3 - 3 - 3*b**2 + 2 - 2*b + 5*b**2. What is u*y(p) + 2*i(p)? -2*p**3 + 2*p Let h(k) = k - 6*k + 4*k + k**2. Let l(i) = -6*i**2 + 3*i - 2. Let o(a) = 9*a - 287. Let s be o(32). What is s*l(y) + 4*h(y)? -2*y**2 - y - 2 Let g(y) = 9*y - 2. Let t(h) be the first derivative of -19*h**2/2 + 4*h + 245. Calculate -5*g(r) - 3*t(r). 12*r - 2 Let z = -6 - -3. Let i(m) = 11*m + 7. Let w(s) be the second derivative of 2*s**3/3 + s**2 + 899*s. Give z*i(y) + 8*w(y). -y - 5 Let g(z) = -2*z**2 - 2*z**3 - 20*z - 7*z + 6 + 31*z. Let n(k) = -k - 1. Calculate -g(j) - 4*n(j). 2*j**3 + 2*j**2 - 2 Let z(a) = -6*a + 1. Let t(r) = -20*r + 44. What is t(h) - 5*z(h)? 10*h + 39 Let z(s) = -4*s**2 - 45 + 43 + 3*s**2 - s - s**2. Let k be (-2)/(-6)*0*1. Let f(q) = k + 5 + 6*q**2 + q + q. What is -3*f(r) - 8*z(r)? -2*r**2 + 2*r + 1 Let y(o) = 9*o**3 - 6*o**2 - 6*o. Suppose 4*i - 48 = 2*i. Suppose 2*z - 34 = i. Suppose -1 = 5*n + z. Let x(t) = t**3 - t**2 - t. What is n*x(u) + y(u)? 3*u**3 Let t = 59 - 64. Let l(u) = -5*u + 1. Let i(d) = 0*d - d - 3*d + 1 + 3*d. Let q(f) = i(f) - l(f). Let g(j) = 10*j. Calculate t*g(m) + 12*q(m). -2*m Let a(l) = -l**3 - 3*l**2 - 4*l - 5. Let p(y) = -y**3 - 5*y**2 - 6*y - 8. Let r be (-12)/(-1) - (-49 - -53). Give r*a(s) - 5*p(s). -3*s**3 + s**2 - 2*s Let p(t) = 13*t**2 + 237*t + 14. Let c(k) = -9*k**2 - 158*k - 10. What is -7*c(u) - 5*p(u)? -2*u**2 - 79*u Let v(r) = 16*r**3 + 11*r**2 + 11*r + 4. Let n(l) = -3*l**3 - 2*l**2 - 2*l - 1. Suppose -3*c = -11*c + 16. What is c*v(a) + 11*n(a)? -a**3 - 3 Let u(d) = 4 - 5*d + 2*d - 1 + 0*d. Let y be (0 - 2)*(8 - 4)*-2. Let t(b) = 10*b - 10. Calculate y*u(j) + 5*t(j). 2*j - 2 Let s(x) = 110*x**3 - x**2. Let t(r) = 1092*r**3 - 9*r**2. Determine 21*s(h) - 2*t(h). 126*h**3 - 3*h**2 Let x(a) = -a**3 - 12*a**2 - a - 7. Let r(p) = -p**3 - 13*p**2 - p - 6. Give 6*r(w) - 5*x(w). -w**3 - 18*w**2 - w - 1 Let s(w) = -2*w + 6. Suppose -2*r - 9 = -2*m - 3, 0 = -4*r - 5*m + 24. Let n(z) = -6 + 4 + r. Let a(v) = -v**2 - 3*v - 3. Let t be a(-2). Give t*s(y) - 8*n(y). 2*y + 2 Suppose -5*s - 69 = 3*h - 101, -2*h - 4 = -3*s. Let p be (2 + -4)/(2/2). Let n(w) = w**2 - w + 1. Let k(a) = -2*a + 2. Calculate p*k(o) + s*n(o). 4*o**2 Let q = -1297 + 1298. Let u(m) = m - 1. Let l(p) = p + 2. Determine q*l(y) - 2*u(y). -y + 4 Let m(o) = 2*o**2 + 39*o - 2. Let f(p) = -1. Calculate -3*f(q) + m(q). 2*q**2 + 39*q + 1 Let m(t) = -12*t**2 + 4*t + 17. Let b(d) = -7*d**2 + 2*d + 8. Give -7*b(f) + 4*m(f). f**2 + 2*f + 12 Suppose y = 5*l + 26, -4*y + 9*y = -2*l - 32. Let g(u) = -2*u**3 + 4 - 5 - 5 + 3*u**3 - 6*u**2. Let i(h) = -2*h**3 + 11*h**2 + 11. Give l*i(w) - 11*g(w). w**3 Suppose -6*z + z - 5 = 0. Let j be -4 + 4 + 4/z. Let g(u) = 7*u**2 + 4. Let q(x) = 20*x**2 + 11. Determine j*q(d) + 11*g(d). -3*d**2 Let c(w) = -5*w**2. Let f(d) = -5310 - 21*d**2 + 5310. Calculate -18*c(j) + 4*f(j). 6*j**2 Let f(h) = -h - 6. Let k(c) = -4*c - 25. Let o be (-8)/22*154/(-28). Calculate o*k(q) - 9*f(q). q + 4 Let q(w) be the first derivative of w**2/2 + w + 42. Let l(y) = 2*y**2 + 5*y - 1. What is l(j) - 5*q(j)? 2*j**2 - 6 Let d = -3 + -17. Let w be (d/(-8) + -2)*10. Let f(i) = -2*i**2 - 4*i + 4. Let n(k) = -2*k**2 - 5*k + 5. Give w*f(g) - 4*n(g). -2*g**2 Let q(i) = -3*i**2 + 1. Let l(u) = 6*u**2 - 221. What is l(w) + 3*q(w)? -3*w**2 - 218 Let h(z) = 50*z + 14. Let b(g) = 2*g - 1. Give -12*b(j) - h(j). -74*j - 2 Let r(m) = -3*m + 11. Suppose 0 = 12*a - 11*a. Let x be r(a). Let q(f) = 5*f**2 + 4. Let y(d) = 14*d**2 + 8 + 1 + 2. What is x*q(s) - 4*y(s)? -s**2 Let j(a) = -a**2 + 3*a - 1. Suppose 8*d = d + 273. Suppose 0 = -4*q + 23 - d.
{ "pile_set_name": "DM Mathematics" }
arest to 884 in -0.15, -64, -102, -3/7? -0.15 What is the closest to 0.09 in -32, -5/4, -15? -5/4 Which is the nearest to -0.09? (a) 2254/5 (b) 0.2 (c) -937 b What is the nearest to -3 in -8.16, -1/220, 3? -1/220 What is the closest to -1 in 1/2, 41323, -740? 1/2 What is the nearest to 4 in 3, -145, 1227, 2? 3 Which is the closest to 2/5? (a) -84.23 (b) 3/5 (c) -58 b Which is the closest to 3? (a) -0.11 (b) 0.4 (c) 1/49 (d) -6 (e) -5 (f) 2/3 f Which is the nearest to -1.1? (a) 0.4 (b) -1043 (c) 2/27 (d) 0.3 (e) 2 c What is the nearest to -3/7 in 6, 27, -0.3, -2, -719? -0.3 What is the closest to 1.313 in 0.1, 0, 4, -37, 9? 0.1 Which is the closest to 0.2? (a) 0.3 (b) -1/5 (c) 617001/4 a Which is the closest to -16? (a) -74 (b) 2/45 (c) 125 (d) -1/7 d Which is the closest to -2? (a) 2676 (b) -3/7 (c) -17 (d) -0.1 b Which is the nearest to -1/4? (a) 7/15 (b) 2 (c) 4/47 (d) -1/187 d What is the closest to -1 in -0.79, 39, -2.07? -0.79 Which is the nearest to 1/6? (a) 0.2 (b) -2 (c) 8/27 (d) -7.4 (e) -37 a What is the nearest to -5/9 in 1.9, 15134, 1/3? 1/3 Which is the nearest to -1/7? (a) 2 (b) -318 (c) 21 (d) 4 (e) -3/7 e Which is the closest to -2? (a) -2 (b) -2/53 (c) 5490 (d) 4/7 a Which is the closest to -0.2? (a) -0.0435 (b) -1.94 (c) 0 (d) 1 a Which is the nearest to -21/94? (a) 5 (b) -1/29 (c) -16 b What is the nearest to 1/3 in -99, 1/2, -703? 1/2 Which is the nearest to -3879? (a) 2 (b) 2/8895 (c) -0.18 (d) -2/9 d What is the nearest to -0.08 in -37/4, -1/29, 6, 9? -1/29 What is the nearest to 12885 in -0.12, 0, -5? 0 What is the nearest to 1.18 in -18, 0.4, 4, -1, -5? 0.4 Which is the nearest to -1/2? (a) 466539 (b) -0.2 (c) 7 b Which is the closest to 1? (a) -2/3 (b) 0.15 (c) 3 (d) -35 (e) -443 b Which is the nearest to -0.2? (a) 16/11 (b) -5 (c) 84 a Which is the nearest to -5? (a) 225 (b) 213 (c) -5 c Which is the closest to -0.1? (a) 68 (b) 22 (c) 1.074 (d) 2 c Which is the nearest to 2/7? (a) 5 (b) -2.8 (c) 11/74 (d) 1.7 c Which is the nearest to 1405/11? (a) -0.085 (b) 0.7 (c) -0.3 b What is the nearest to 0.07 in -0.2, -593, 1/2, 4, 5, 10? -0.2 What is the nearest to 1/3 in -2557, -540, -0.3? -0.3 What is the closest to 1 in 4, -3, -0.04, 3, 75653? -0.04 Which is the nearest to 0.1? (a) 0.1 (b) -10 (c) -0.2 (d) -3.53 (e) -25/7 a What is the closest to 632/5 in 1, -5, -0.084, 0.19? 1 Which is the closest to -4? (a) -50 (b) 1/2 (c) 45 (d) 37/4 b What is the closest to -5 in 2568, 22, -4, -1? -4 What is the nearest to 1/2 in 4/9, -2/7, -328/139, -2? 4/9 What is the nearest to 0.04 in -26, 8, -1, 3/20, 0.4, -1/417? -1/417 Which is the nearest to -0.1? (a) 0.05 (b) 2652 (c) -58/7 a What is the closest to 1/205 in -0.1, 180, -93? -0.1 What is the nearest to -1/2 in -2/13, 25.6786, 0.07, 5? -2/13 What is the nearest to -2/7 in 2364, 2/7, 31, -4? 2/7 What is the nearest to 14 in 52161, -12/5, 3, 2? 3 Which is the nearest to 0.1? (a) -5 (b) 0.03 (c) -18.2688 (d) -10 (e) -0.5 b What is the closest to -2/33 in -5, 1, -4375, 1/15? 1/15 Which is the closest to -2/13? (a) 0.3 (b) 269 (c) 4 (d) -24 (e) 0.01 (f) 5 e Which is the closest to -1? (a) 3/5 (b) 3 (c) 15 (d) -1290 (e) -2/23 e Which is the nearest to -7/2? (a) 48/17 (b) -1 (c) 0.066 (d) 4 b Which is the nearest to 1? (a) -11 (b) 3 (c) 780 (d) 1.3 (e) 7 d What is the closest to 0.083 in 5.2, 6, -0.2, -1/6, 2? -1/6 Which is the closest to -0.7? (a) 1.8 (b) -0.91 (c) -0.4 (d) -7 b Which is the nearest to 16? (a) 2/69 (b) -1 (c) -2 (d) 2/9 (e) -7 d What is the nearest to 1.422 in -3, 20, 18, 0.4? 0.4 Which is the nearest to -6/7? (a) -4.7 (b) -0.41 (c) -3/2 (d) -13/4 b Which is the nearest to 1? (a) 3/140 (b) -4 (c) -5037 a Which is the closest to -2/13? (a) -145 (b) 7 (c) -2/11 (d) 343 c Which is the nearest to 1? (a) -1/18 (b) 14/9 (c) 139 (d) -0.5 b What is the nearest to 0 in -3, -2, -5, -100454? -2 Which is the nearest to 0.9? (a) 9/8 (b) 2/13 (c) 44 a Which is the closest to -5? (a) -119 (b) 5 (c) -1 (d) -3/52 (e) -25.8 (f) 1/2 c Which is the nearest to 10? (a) -1/5 (b) 0 (c) 743912 b Which is the nearest to -3/2? (a) 2/17333 (b) -0.4 (c) -1/8 (d) 156 b Which is the closest to 2/7? (a) -1/6 (b) -0.5 (c) 504892 (d) 2/11 d Which is the closest to -1? (a) -0.4 (b) 12/5 (c) -5 (d) 0.05 (e) -0.1 (f) 426 a What is the nearest to -10/87 in 83, 0.19, 0.1, 4? 0.1 What is the nearest to 9 in -51.9, 21, 1/3, 2/29? 1/3 What is the closest to 4 in -669, 0.5, -80103? 0.5 What is the closest to -1 in -2/15, 539.03, 0.108? -2/15 Which is the closest to 3/7? (a) -1 (b) -0.2 (c) 73 (d) -4 (e) -60/11 (f) -5 b What is the closest to 103/74 in 4, -3, 2/341, 5? 2/341 Which is the closest to 0.2? (a) 3 (b) -2/5 (c) -19 (d) 5.2 (e) -3/32 e What is the closest to 2.61 in 0.4, 1/2, 7/18, 4, -9? 4 What is the nearest to 3 in -4, -1/1328, -0.08, -5/3? -1/1328 What is the closest to 262 in 2, 3415, 3? 3 What is the closest to 0.035 in -0.4, 3, -3/487, 1/2? -3/487 What is the closest to 3.18 in 5/1003, -1/6, 0.05? 0.05 What is the closest to 1/3 in -6/11, -9.519, -2, -0.14? -0.14 What is the nearest to -6 in 0.08, -4, 47, -2/9, 5? -4 What is the nearest to 10.18 in 5/6, 3, -2, 1? 3 Which is the closest to 58276? (a) 1/3 (b) 2/91 (c) -1/10 a Which is the nearest to -3.2? (a) -77/100 (b) 0 (c) 6 (d) 0.5 (e) 1/5 (f) -0.5 a Which is the nearest to -3? (a) 174 (b) -1 (c) 122 (d) 3 (e) 38 (f) -3 f What is the closest to -5/4 in 0, 0.42, -8, -1134, 2? 0 Which is the nearest to 1625? (a) 0 (b) -1/5 (c) -4 (d) 43 d What is the nearest to 1/4 in 0.2, -13.5, -0.052344, -1? 0.2 Which is the nearest to -2/3? (a) -7 (b) -28 (c) -9 (d) 5 (e) -2/27 e What is the closest to -23 in 0.09, -4, 328, 10? -4 What is the nearest to -0.2 in 5/191, -2, -15? 5/191 Which is the closest to -2? (a) -29 (b) -0.2 (c) 2/461 (d) 0.2 (e) -2/11 b Which is the closest to -1/4? (a) 113 (b) 30 (c) -6 c What is the closest to -2/7 in -2, -0.3, 1/2, 0.04, -2/757? -0.3 What is the nearest to 0.3 in -1/2, -1/3, -484, -3/7, 9/5, 2/9? 2/9 What is the closest to 51/130 in 0.5, -4, -0.248? 0.5 What is the closest to 0 in -6, 0, -1540.3? 0 What is the nearest to 0.1 in -256, -781, 28? 28 What is the nearest to 117 in 1/7, 1.6, -0.5, -203? 1.6 Which is the nearest to 2/3? (a) -5 (b) -4 (c) -38/41 (d) 1.3 (e) -0.3 d Which is the closest to -2/223? (a) -1 (b) -4/7 (c) -0.5 (d) -0.2 (e) -18 (f) 3 d What is the closest to 2996 in 1, -3, 0.4, 5.7? 5.7 Which is the closest to -0.1? (a) -0.1 (b) 8 (c) -5 (d) 6 (e) -100685 (f) -3 a What is the nearest to -4 in -4, -0.0442, 6, -16/7, 5? -4 What is the closest to 1 in 246, -3, -975, 0.3? 0.3 Which is the nearest to -0.4? (a) 1134 (b) 62 (c) 1/8 c What is the nearest to 590 in -3, -6, -5, -2/19? -2/19 What is the closest to 3 in 197, 2/15, -3/8, -0.01, 65? 2/15 What is the closest to 233 in 0.0069, -1.1, 4? 4 Which is the closest to -3? (a) -5 (b) 2/7 (c) 3 (d) 5 (e) 59 (f) -1054 a Which is the nearest to -0.8? (a) 5 (b) 0.5 (c) 0 (d) 0.1 (e) -317341 c What is the closest to 2 in 2598/7057, 0.4, 4? 0.4 What is the nearest to 1 in -3/74, 6/17, -1/11, -17, 0? 6/17 What is the nearest to 1 in -2.4, 2/15, -1, -626/249? 2/15 Which is the nearest to 0? (a) -7 (b) -0.08 (c) 0.053 (d) -10040 c Which is the closest to 2/3? (a) 24 (b) 0.2 (c) 64340 b What is the closest to -1/4 in 0.1, 756, -0.1, 4, 2/15, -0.2? -0.2 What is the nearest to 31/6263 in -78, 3, -1? -1 Which is the nearest to 0.3? (a) 12/11 (b) -8 (c) -6/11 (d) -0.7 (e) -1 (f) 1/5 f Which is the nearest to -10/9? (a) -0.22452 (b) 79 (c) 1 a What is the closest to 0 in -106, -3, 3/10, 0.17? 0.17 What is the nearest to -313799 in 2/5, 0, 12, 1/2? 0 What is the closest to -3/2 in -1, 0, -154, -4/5, -4.22? -1 Which is the nearest to -1? (a) -1/10 (b) 4 (c) 1/4 (d) -7/3 (e) -138.35 a What is the nearest to -2 in -0.5, -19, -131845, -2/11, -0.3, -3? -3 Which is the nearest to -2/5? (a) 0.5 (b) 4 (c) -2 (d) -11365 (e) 1/3 e What is the closest to -2 in 1/11, 4/1321, 4, 2? 4/1321 Which is the nearest to -1?
{ "pile_set_name": "DM Mathematics" }
(-17)) - -4) + -8 2/297 ((-1592)/2388 + (0 - (1 - 2)))*9/(-51) -1/17 (5/20)/(281/16860) 15 What is (7/((-126)/123) + 9)/(48/1728)? 78 Calculate (-27878)/(-6838) - 2/26. 4 What is the value of 6 - (-15)/((-2760)/1219)? -5/8 What is 25 - 8 - 27 - (16218/(-96))/17? -1/16 Evaluate (-626)/(-3154) - (-28 + ((-176880)/(-209))/30). -1/83 Calculate (5/((-325)/26))/((-1242)/32085). 31/3 What is 899/348*(-3780)/(-8680)? 9/8 What is the value of ((-186)/(-4))/(702/12 - 57)? 31 Calculate (-2)/12 + 24/189*5859/1008. 4/7 Evaluate (-17 - 109265/(-6435)) + 128064/(-11880). -54/5 Evaluate 13 - (550/33 - -2 - 120/72). -4 Evaluate (168/(-9870))/(174/145). -2/141 Evaluate (-60)/(-18 + 8)*(-408)/(-96)*(-8)/6. -34 Calculate (-10)/(-8)*(98/105 - 2*(-7)/210). 5/4 Calculate (667/46 - 14)/(-8). -1/16 What is the value of (-114)/(-266)*-14 - -41 - ((-3 - -5) + 6)? 27 (0 + -3)*((-5944)/11145)/(4/(-25)) -10 Calculate (-20)/7 + 33774/546. 59 (-13572)/464*14/42 -39/4 Calculate (-21 + 5 + 8 + -1)*15/45. -3 What is (-536)/(-1675)*-20*5? -32 Calculate ((-70)/560)/(-27*10/480) - (-400)/(-18). -22 588/(-3381)*-1*((-25)/(-20))/(-5) -1/23 What is the value of (14/2)/((-7139)/1298)? -14/11 77/(30030/520) + ((-236)/3)/(-4) 21 Evaluate (97284/(-57486))/(6/546). -154 Calculate 2 + -4 + (-12)/(-4) + 124/((-1023)/(-33)). 5 What is -2715 + 2720 + -2*(-71)/(-30)? 4/15 What is (450/12825 + (-5140)/(-76))*(-6)/7? -58 -4*(284/144 + 152/(-684)) -7 What is the value of (154476/1512 + 3/(-18))*(-2 + (-7)/(-3))? 34 What is the value of 32*(-295)/(-2596)*-11? -40 (1888 - 1995) + (-752)/(-8) -13 Calculate 6/(-72)*9 + (-1334)/(-1160). 2/5 Calculate (-7)/(-2)*(-50280)/(-8799). 20 (2 - (-15)/(-9)*1)/(-96 - 7372/(-76)) 1/3 What is -24 - (-106)/(-7049)*-1577? -2/7 What is the value of 95/((-9690)/(-11832)) - 14? 102 (-24)/16*(-704 - -762) -87 Calculate 36762/1056 + -35 - (-319)/80. 19/5 What is the value of (1045/(-836))/(1*(-35)/(-1876))? -67 (20827/353)/(3 - 4) -59 (3/(-6) + (-844)/1266)/(-1 - (-7)/9) 21/4 Calculate (12*((-1098)/324)/(-61))/((-1)/6). -4 What is the value of (4478/15673)/((-2)/91)? -13 What is -130*13/((-260)/16) - (-44 + (-333)/(-9))? 111 What is the value of (-24)/64 - 5217/296? -18 What is -36 - (-5 - 40) - (-377)/42*-1? 1/42 What is 84/67452*(-1611)/(-27) - 2/33? 1/73 (-14)/(-5)*(1003/68 + (-10)/(-40)) 42 What is (-2)/((-9)/24 + (-330330)/(-38896) + -8)? -17 9880/(-364) - 1/(-7) -27 What is -9 + (1197/(-798))/((-3)/(-276)*6)? -32 What is -20*(-12)/10 - (-257)/((-1285)/180)? -12 Evaluate -49*3*190/5187. -70/13 ((-2895)/(-75) - 18)*5 103 What is the value of 19 + (272/(-6))/(3484/(-2613))? 53 What is 59 + 43443/(-837) - 7? 3/31 What is (14/42 - 2343/252) + -69 + 78? 1/28 What is 1428/2142*(-1)/2*3? -1 Evaluate 2/1 + 579/57 + -12. 3/19 Evaluate ((-9948)/744 - -13) + (-3 - -2)/(-2). 4/31 Evaluate (-14)/(4623/(-161) - -29). -49 Evaluate (0 - 10/(-16)) + 47277/(-71688). -1/29 What is (6740/30330)/((-20)/(-36) + 2)? 2/23 138/(-2967) - ((-270)/9675)/(372/3200) 6/31 What is the value of (-11 + 3964/360)*3 + 1018/60? 17 Evaluate (-413)/(-4)*((-150)/(-42) - 3). 59 What is the value of 15/((-630)/(-12))*(-8)/16 + 4477/77? 58 What is the value of (-84)/130 + ((-4)/8)/((2115/(-18))/(-47))? -11/13 Calculate (-315)/(-875) + 100855/(-8625). -34/3 What is (17 - (9072/(-27))/14)/(1 - 0)? 41 48/(-10) - (-465)/(55 - -38) 1/5 516307/(-149345) + (-36)/84*(-8)/(-3) -23/5 Evaluate -327 + 380 + 17/3 + -5 + 37/3. 66 What is the value of 24/(-9) + ((-2040)/(-90) - 25) + -1 + -2? -8 What is 628/80 + ((-18)/(-12))/(89 + -95)? 38/5 Calculate (-2)/3*-18*(-6)/470*(-5)/(-6). -6/47 What is (1475/(-280)*-4 - 21)/(13/104)? 4/7 Calculate (2 + -8)*1*(-20713)/18830. 33/5 What is (-134)/(-7035)*-42*-60? 48 Evaluate -12*(12 - 16850/1400). 3/7 What is the value of 54*(-930)/(-30132) + 256/18*6/(-50)? -1/25 Calculate -903*(-195)/20475 + -4*4/(-40). 9 Evaluate (5*2/(-8))/(180700/(-1517880)). 21/2 (10/(-42) - 1/3) + ((-215354)/(-8225))/58 -3/25 Calculate (-5)/4*(-97)/(-1455)*4/(-14). 1/42 What is the value of (20/(-15))/(-12*10/(-720)) + (-84)/(-10)? 2/5 What is the value of ((100/7)/((-2782)/9737))/((-4)/(-6))? -75 What is 92432/9592 + (1 - 11 - -2)? 18/11 What is ((210/75)/(-7))/((-1)/(-35)) + 13? -1 Calculate 232986/624312 + 10/(-24). -1/23 Evaluate -5 - (-6)/4*1400/16275*(-157)/(-4). 2/31 What is the value of ((-25)/30 + -3)*(-144)/(-24)? -23 (-696)/1102*475/(-50) 6 What is the value of 48/(-60)*25/(-1660)*2? 2/83 Evaluate 9/4*(-2918)/17508. -3/8 Calculate 6601/(-150765) - 24/(-684). -1/115 What is (612 + -609)/(2/(-8))*17/238? -6/7 ((-12)/2)/((-26)/(-1885)*-5) - (-26 - -27) 86 What is 1/(35/14) + 1714/(-60) - 14/(-84)? -28 (-1920)/(-104) + (-30)/(-455)*-7 18 Calculate 13 - 4929/2790*60. -93 What is the value of (4/6)/((-210)/5905) + (-6641)/59769? -132/7 What is 141636/1914 + (-681)/9? -5/3 Calculate ((-204)/210 + 2/5)/((-2709)/(-147) + -33). 2/51 Calculate -54*(-25)/(-525)*(-3717)/118. 81 (99/((-99990)/(-40)))/(7/4 - 1/(-4)) 2/101 What is (-23*11/99)/(56/1008)? -46 What is (-290)/30 - (48 + -42)*(-6)/(-27)? -11 What is the value of (-24)/(-36) - ((-11692)/333 - -38)? -20/9 What is (-11)/(-770)*-12*3*225/81? -10/7 Calculate 31 - (-120 - (-500204)/3312). -1/36 What is the value of 56 + 8 + -95 - 24? -55 6/(-51)*9333/(-29646) 1/27 (255/204 + 297/12)*(-12)/72 -13/3 What is -5*(1 + 1178/155)*1? -43 What is -3*((-529)/115)/(3/5)? 23 What is (-537)/((-140157)/5220) + 59 + 0? 79 Calculate ((20/15)/((574/(-168))/(-41)))/46. 8/23 Evaluate ((-1056)/(-80))/11 + -10 + (-7389)/(-855). -3/19 Calculate (-26)/(-117) + 29/(7308/(-11900)). -47 What is (-4)/(-66)*(-15)/((8/204)/((-12)/(-51)))? -60/11 What is (-374)/99 - (70/(-36) + 2)/(39/(-312))? -10/3 What is -23 - ((-10)/4)/(183/(-366))? -28 What is the value of 81328/218416 + (1 - (-32)/(-22))? -6/73 What is the value of 891/(-3300)*336/9 + (-3 - (-39)/3)? -2/25 Evaluate -61 - (40 + 2530/(-69))*(-2 - (-1)/2). -56 What is (-1 - 117/(-18))/(238/68)? 11/7 What is 40/(-2)*(26 + (-132)/(-10)*1165/(-699))? -80 What is (-15)/(300/(-944))*(6534/(-108) + 63)? 118 807424/36816 + -22 - 22/649 -4/39 (-4599)/(-42021)*29 - (-1 + 2)*3 4/23 91/(-21) - 10526/(-114) 88 Evaluate (19383/(-1065))/((-312)/1800). 105 Evaluate (-6 + 13 - 6)*40*4/32. 5 What is (-3 - 906/(-303))/(-2 + (-126)/(-12) - 9)? 2/101 What is the value of ((-24)/(-16))/(20/(-40)) - (-450)/155? -3/31 What is the value of 3/((-8084)/1720 + (-7)/((-7)/8))? 10/11 Evaluate (-766)/7 - 250686/97489. -112 Evaluate 7/1715*161 + ((-9)/25)/((-4)/(-20)). -8/7 Calculate ((-12)/54 + 10728/(-4212))/2. -18/13 Calculate 138/(-66)*-11 + (5 - (2 - 7) - 4). 29 (2/(-6))/(12530/176400 - 22/385) -24 Calculate 3 - ((36 - (-2907)/(-108)) + 8/(-6)). -19/4 (2/(-6))/(5537/3164 + 6/(-4)) -4/3 Calculate 19*88/((-21736)/663). -51 What is the value of 7*3267/2310*1/(-2) - -5? 1/20 What is the value of (4108/(-156))/(2 - 2 - (-12)/144*-4)? 79 -42*(21492/378 + -56) -36 What is 188/(-38) - ((-2)/(-152))/((-1297)/(-5188))? -5 Calculate (354/27)/(-10 + 8) + 6/6*11. 40/9 Evaluate 14/(-12) + (279/6)/(-31) - (-145)/24. 27/8 Evaluate 206701/(-5244) - 10/(-24). -39 What is the value of ((-6960)/406)/(1*(-9)/(-14))? -80/3 What is the value of 1*(-34 + 1185/30)*(-8)/10? -22/5 What is the value of ((-3619)/(-5170) - (-11523)/210) + (-6)/(-14)? 56 What is (-6 - 550/(-99))/((-492)/90774)? 82 What is the value of 97 + (-36114)/702 + -46? -4/9 What is the value of (-200)/(-90) + 52/(-234) - 72? -70 3171/(-15855) + 1/(25/(-1070)) -43 ((0 - 1/3)/(145/2175))/(33/(-561)) 85 What is (1 - (0 + 6/24))*88/(-429)? -2/13 What is the value of 2/(36310/620 - (-106)/(-1643))*(-1)/(-4)? 1/117 What is the value of ((4/18)/((-112)/(-252)))/(9/1800*-4)? -25 What is (-5704)/(-2640) + 14*(-45)/10395? 21/10 What is the value of (192/8)/2 + 44/(-22) + 13? 23 Calculate 40 - 107 - 416/(-6). 7/3 Calculate 75 + -36 + -34 + (42*1)/(-2). -16 What is 37 + 100/(-60)*7110/75? -121 Calculate ((-41180)/(-4118))/(556/12 + 2). 6/29 (-6)/4*(3142/147 - (36/(-882))/(-1)) -32 Evaluate ((34/(-1190)*-5)/28)/(6/14). 1/84 What is the value of (39/(-1) + -4)/(49/(-98)) + -16? 70 What is the value of 658/1547 + (-24)/204 - (-186)/(-182)? -5/7 What is 6/(22*(-306)/6171)? -11/2 What is 16 + -3 - ((-151515)/130)/(-111)? 5/2 Wh
{ "pile_set_name": "DM Mathematics" }
7/(-96) + 4). Does 24 divide 24/i - ((-1425)/(-4))/(-5)? True Let c(l) = -l**3 + 13*l**2 - 21*l - 17. Let h be c(11). Is 1 + 270 + h/48*0 a multiple of 34? False Let r(u) be the third derivative of -u**6/120 + u**5/5 + 2*u**4/3 - 25*u**3/6 - 19*u**2 + 2*u. Does 42 divide r(12)? False Suppose -14*c = 6 - 118. Suppose c*w = 2013 + 1475. Is 67 a factor of w? False Let o = 284 + 4009. Suppose -5*v - 4*m = -4299, -v + o = 4*v - 2*m. Is v a multiple of 20? False Let o be 8/1 + 3/(15/(-10)). Suppose 2*q = 2*s - o, -2*q + 6*q = -s + 18. Is 6 a factor of s? True Is 29 a factor of 10421 - (38/19)/(5/25)? True Let f be ((-11)/2 + 3)*(-48)/(-40). Is 4 a factor of 66 - (-6 + (-2 - f))? False Suppose 3*l - 12013 = -2*r, 4*r = 125*l - 127*l + 8030. Is l a multiple of 37? False Suppose 17*f - 295 = -40. Suppose -f*y - 2700 = -27*y. Is 13 a factor of y? False Let d = 0 - -3. Suppose d*s - 232 = 464. Does 29 divide s? True Let p = -8682 + 9382. Is 28 a factor of p? True Let l be 15 + (-5 - -4 - -3). Suppose -2*b + f + l = -3, -4*f + 4 = -b. Suppose -6*u - 474 = -b*u. Is u a multiple of 22? False Let k = -679 + 524. Is (-4632)/(-10) + 31/k a multiple of 22? False Let h(v) = -v**3 + 29*v**2 + 2*v - 118. Does 49 divide h(25)? False Let y be 1*(3 + 3 - -143). Let n = -59 + y. Is n a multiple of 6? True Suppose -p - 2*z = -7341, p - 2*z = -274 + 7603. Suppose -2*j = -5*c + p, -2*j + 2117 + 3751 = 4*c. Is 9 a factor of c? True Let j(o) = 2*o**2 + 73*o + 1133. Is 14 a factor of j(-28)? False Let i(t) = -t**3 + 30*t**2 - 55*t. Let x be i(28). Suppose 5*z - 2274 = -4*o, 0 = 2*o - x*z + 27*z - 1130. Does 88 divide o? False Let o(c) = 586*c**2 - 6*c + 9. Does 55 divide o(-2)? True Let j(l) = 3*l**2 + 27*l + 36. Let f be j(-7). Let t(d) = 8*d**2 - 4*d - 2. Let y be t(-3). Let h = y - f. Is h a multiple of 11? True Suppose 9*j - 8*j - 134 = -4*h, -4*h = -3*j - 126. Let m(d) = -d**3 + 31*d**2 + 74*d + 48. Is 26 a factor of m(h)? True Suppose 107*m = 407*m - 1203900. Is 8 a factor of m? False Suppose 4*j - 15 = -3*h, -2*j - j = 4*h - 13. Does 21 divide (1 - 17/j)*-18? True Let o = 1785 - -8966. Is o a multiple of 13? True Let m(q) = -12*q**3 - 266*q**2 - 25*q - 130. Is m(-25) a multiple of 93? False Is (-260)/260 - -4*5708/1 a multiple of 79? True Suppose 67*w - 70*w - 657 = 0. Let h = -157 - w. Is h a multiple of 3? False Suppose 61 = -b + x - 14, 0 = 2*x. Let d be 3*(b/27)/(-5)*-3. Does 4 divide (2/d)/(42/(-2415))? False Let j(w) = 235*w**2 - 111*w + 564. Is j(6) a multiple of 150? False Let b = 8228 - 7866. Is 3 a factor of b? False Let c = 163 - 158. Suppose -3*r = c*x - 186 + 26, 3*x - 115 = 2*r. Is 5 a factor of x? True Let f = 15830 + 9312. Is 157 a factor of f? False Let n = 52 - 39. Suppose 4*w - 468 = -2*s, w - 113 = 4*s + n. Let r = w - 60. Is 4 a factor of r? False Let i(n) = 1113*n**2 - 5*n + 10. Let u be i(-4). Suppose -60*x + 42*x = -u. Is x a multiple of 14? False Let r(o) be the third derivative of -19*o**4/24 - o**3/3 + 5124*o**2. Let k(w) = -7*w + 1. Let i be k(1). Is 8 a factor of r(i)? True Suppose 30 = -5*s - 0. Let q(t) = -23*t - 110. Does 4 divide q(s)? True Suppose -23*v = -858 - 42267. Let k = -1275 + v. Does 24 divide k? True Let x(v) = -179*v + 34. Let i(c) = -c**2 - 4*c + 15. Let r be i(-7). Does 69 divide x(r)? False Let t = -44698 + 67702. Does 27 divide t? True Suppose 2*f + 18 = 2*c, 2*c + 3 - 1 = -2*f. Suppose 0 = c*t + 40 + 32. Let v = t - -56. Is v a multiple of 19? True Let l be (-550)/4 + (-26)/52. Let h = l + 143. Is 2 a factor of h? False Let j(t) = -2011*t - 9653. Is 24 a factor of j(-23)? True Suppose -227 = 5*c + 3*k, 103 = -2*c + 4*k + 7. Let n = 254 + c. Is 11 a factor of n? False Let r(m) = 8*m + 1. Let q be ((-27)/(-36))/(-1 - (-27)/24). Let l be r(q). Let c = 73 - l. Is c a multiple of 6? True Suppose -4835 = 11*r - 36163. Is 16 a factor of r? True Let s be 2 + (2 - 1) + 3. Suppose 177 - 177 = 9*v. Suppose 5*d = v, -4*d + 29 = x - s. Is 9 a factor of x? False Suppose -27*o - 5*o - 5600 = 0. Is ((-630)/o)/((-3)/(-1170)) a multiple of 13? True Suppose -4*m = 3*i - 132, -5*i - 2*m + 203 = -m. Let v(o) = 5*o - 149. Let w be v(24). Let j = w + i. Does 2 divide j? False Let v be (-15)/6*(-4 - (-64)/20). Suppose -5*h + 8 = v*n - 1, 3*h - 4*n - 21 = 0. Suppose 5*y = 5, 0 = r - 4*y - h - 22. Is 9 a factor of r? False Suppose -n = -3, -2*n - 746 = -a - 222. Is a a multiple of 53? True Let a(z) = -z - 7. Let d(h) = -h**3 - h**2 - h + 2. Let p be d(-2). Let j be a(p). Let r = j + 141. Is r a multiple of 9? True Let o(v) = v**2 + 5*v - 10. Let a be o(-6). Let x(u) = 5*u**2 - 10*u - 25. Is x(a) a multiple of 5? True Suppose 5*m - 3286 = 4*d - 0*d, -d = m - 650. Suppose -b + m = 5*t, b - 5*t = -t + 690. Is 27 a factor of b? False Suppose 5*s + 62*l - 64*l - 5314 = 0, -4*s = -l - 4253. Is 8 a factor of s? True Let l(t) = -5*t + 18. Let k be l(7). Let r = -17 - k. Does 19 divide (6 + -5)*(r + 27)? False Suppose 3*m + 10591 = -3*q + 40756, -3*m + 3*q + 30147 = 0. Does 10 divide m? False Suppose -2*b + 5 + 7 = 2*w, 14 = -3*w + 5*b. Let v(d) = 4*d**3 + d**3 + w*d + 5*d**2 - 5*d**3 + 5 - d**3. Is v(5) a multiple of 11? False Let v = -48 + 35. Suppose -4*d + 3236 + 15820 = 0. Is 31 a factor of 2/v + 6 + d/39? False Suppose -f + 29*f + 62952 - 336680 = 0. Is 8 a factor of f? True Is -9 + 1787*138/72 - 5/60 a multiple of 28? True Suppose 29*g - 3034 - 1896 = 0. Let i = 6 + -1. Suppose 5*l - 141 = -i*d + 299, -l - g = -2*d. Does 21 divide d? False Let h(m) = m**3 + 10*m**2 + 4*m - 20. Let d be h(-10). Is ((-41)/2)/(15/d) even? True Let f be (-4)/12 - (-8)/(-3). Suppose -5*v - 91 = 4*g - 358, -3*g + 209 = -5*v. Let j = g + f. Is 27 a factor of j? False Let p(s) = 2*s**2 + 5*s + 5. Let k be p(0). Suppose 0 = -3*q - 4*l + 910, -k*l + 1035 = 5*q - 475. Is q a multiple of 21? False Suppose -3*l = -5*y - 70 + 5, -4*l + 3*y = -72. Suppose 0 = -l*w + 16*w - 336. Is 16 a factor of w? True Suppose 2*r - 6*r = 3*f + 48, 0 = 5*r - 3*f + 33. Let i be (-8)/12 - 330/r. Let d = 41 + i. Does 8 divide d? False Suppose 2788 = 15*b - 14*b - 4*i, -2*b - 4*i + 5504 = 0. Does 5 divide b? False Let h = -17785 - -21095. Is 30 a factor of h? False Let f(s) = 5*s**2 + 14*s + 44. Let j(v) = -2*v**2 + 9*v + 8. Let c(o) = -6*o**2 + 26*o + 23. Let m(q) = -3*c(q) + 8*j(q). Let u be m(3). Does 12 divide f(u)? False Suppose -15*y + 36584 + 65301 = -52915. Is y a multiple of 120? True Let p be ((-9)/(-6))/(3/30). Suppose p*r - 24 = 7*r. Suppose -243 = -d - 4*y, r*d + 0*y - y - 755 = 0. Is 15 a factor of d? False Let z be (0 + 4)*(-1)/(-4). Let a(y) = -143*y**2 + 4 - z + 144*y**2 + 7*y. Is 20 a factor of a(-14)? False Let z = -423 - -444. Suppose -434 + z = -7*q. Is 2 a factor of q? False Suppose -3*i + 5*a - 271 = -0*i, -2*i - a - 172 = 0. Suppose -2283 = -17*y - 107. Let m = i + y. Is 7 a factor of m? False Suppose -4*v - 3*v = 0. Suppose 0 = -0*o - 2*o + 2, 3*h - 2*o + 1091 = v. Let p = -227 - h. Is 34 a factor of p? True Let n(q) = q**2 + 3*q. Let i be n(8). Let r be i/(-33) - (-2 - (-7)/3). Does 9 divide r + 5/2 - 131/(-2)? False Suppose 16*p - 31718 = 34895 - 1957. Does 4 divide p? False Suppose -n = z - 2 + 8, z + 3*n + 6 = 0. Let q be 4/3 + 896/z. Let k = q - -161. Is k even? False Let h = -11 - 46. Let j = -44 - h. Does 13 divide j? True Is (-2210)/136*(-1176)/5 a multiple of 18? False Let m(h) = h**3 + h**2 + 1. Let g(o) = -4*o**3 + 12*o**2 - 31*o + 2. Let w(j) = -g(j) + 4*m(j). Is 55 a factor of w(5)? False Is 7143 - (13 - (-126)/(-9)) a multiple of 38? True Let d(k) = -3*k + 1. Let y(l) = -16*l - 28. Let v(a) = 6*d(a) - y(a). Let u(g) = -g + 6. Let w be u(0). Does 11 divide v(w)? True Suppose 4*b + 5*o + 3 = 0, -5*b + o - 2*o + 12 = 0. Suppose -b*a = w - 1733, w - 25 = -4*w. Suppose -15*t = -3*t - a. Is t a multiple of 37? False Suppose -4*t + 3*v = -2327, 3*t - 5*v - 78 = 1659. Does 4 divide t? True Suppose 0 = 4*w + 5*k - 44271, -2*w + 19801 = 3*k - 2334. Does 8 divide w? False Let b be (246 - 1)*(-6)/(-6). Suppose -5*g = 5*c + 590, 4*g = 5 - 17. Let q = c + b. Is 35 a factor of q? False Let h be ((-8)/(-8))/(2 - 261/129). Let x = h - -58. Suppose 0*j = -j + x. Is 14 a factor of j? False Let w = 5040 + -3200. Is 40 a factor of w? True Let h be -9*38/15*(3 + 2). Let q =
{ "pile_set_name": "DM Mathematics" }
l*s + 3*s + 25 for s. -5 Suppose 74*h - 70*h = 280. Solve 14*w - h = -0*w for w. 5 Suppose -64*a = 24*a. Solve 5*m + 13 + 2 = a for m. -3 Suppose -r - 15 = 5*s - 4*r, 4*r - 20 = -4*s. Let n(m) = m**3 + 7*m**2 + 4*m - 8. Let j be n(-6). Solve j*d + s*d + 4 = 0 for d. -1 Let i = 43 + -31. Suppose 2*q = 7*d - 2*d + 26, i = -3*d. Suppose -5*y + 12 = -b, -3*y = -4*y - 5*b - 8. Solve q*c = -y*c - 15 for c. -3 Let d = -15 + 16. Let f(z) = 2*z - 3. Let t be f(3). Suppose -3*q + 4 = -8. Solve d = -t*u + q for u. 1 Let p be 35 + -34 + 1/(-1) + 5. Solve 1 = -p*a + 6 for a. 1 Suppose 11 = 5*v + 5*r - 24, -5*r = 5. Solve -v*y = y + 18 for y. -2 Suppose 133 = 5*i + 2*z, 0*i - 3*z = 3*i - 78. Suppose -3 = 8*b - i. Solve 0 = -b*c - 5 - 7 for c. -4 Let p = 699 + -697. Solve p*j + 2 = -0 for j. -1 Let w be 208/(-78) - (-68)/12. Solve -2*i + 20 = w*i for i. 4 Suppose 0 = -3*q + k + 69, -24 = -q - 5*k + 15. Let h = q + -18. Let v = h - 0. Solve 3*d - v = -18 for d. -4 Suppose 5*f - 7*f = -4*b - 20, 3*f + 5*b = 8. Suppose -f*m = -7*m + 30. Solve 5*r - 10 = -m for r. -4 Let c(h) = -h**3 - 19*h**2 + 26*h + 124. Let w be c(-20). Solve 0 = -8*l - 28 - w for l. -4 Let p(w) = -w**3 - 7*w**2 - 11*w - 8. Let m be p(-5). Let i(t) = -6*t**3 - t**2 + t - 1. Let z be i(1). Let g = m - z. Solve -g = 3*x - x for x. -2 Let s be 0/((9/5 + -2)*-5). Suppose -24 = -6*l - s*l. Solve 0*x + 4 = l*x for x. 1 Let u(y) = 4*y**2 - 57*y - 21. Let k be u(15). Solve 7*b + k = -b for b. -3 Let v(s) = 26*s + 2. Let d be v(1). Suppose -d = 11*g - 105. Solve g*t = 2*t for t. 0 Suppose -c + 1 = i + 17, 0 = -4*c. Let w be (-2*1)/((6 + 2)/i). Solve 0 = -7*f + w*f for f. 0 Let a = 21 + -9. Let h = -8 + a. Suppose 0 = -2*s - 0*s - x + 19, h*s + 3*x = 37. Solve 4*l + l = s for l. 2 Let u(z) = -4*z**3 - 8*z**2 - 8*z - 10. Let l be u(-3). Solve -8*x = -10 + l for x. -5 Suppose -7*r + 1 = 3*u - 11*r, 0 = -3*r + 6. Solve -u*f = -2*f + 3 for f. -3 Suppose -3*v = -5*s + s + 1, -5*s = 4*v - 40. Solve -50 = 14*k - s*k for k. -5 Let i = 1025 - 1016. Solve 0 = 2*j + j + i for j. -3 Let w = -669 - -678. Let k = 3 - 0. Solve w = -k*x - 6 for x. -5 Let h(s) = -s**3 - 4*s**2 + 4*s - 4. Let z be h(-5). Suppose 2*j = 1 + z. Suppose 24*q - 60 = 9*q. Solve q + j = r for r. 5 Let h be (-4 - -5 - 0)*0. Suppose -5*x - 3*n + 23 = h, -2*n = -2 - 0. Solve s = -1 - x for s. -5 Suppose 4*u - 2*u = -400. Let t be 2/4*u/(-5). Let a = t - 8. Solve -a = -2*p - 2*p for p. 3 Suppose 0 = 4*g + 4, 5*i - 47 = -g + 47. Solve -i + 5 = -7*j for j. 2 Let u be (-3 + 1)/((-8)/(-12)). Let j = 7 + u. Suppose -42*p = -52*p + 30. Solve p*y - 4 = j*y for y. -4 Suppose 7*g - 9 = 2*g - 2*c, 4*g - 2*c = 0. Suppose 14*l - 17*l + 78 = 0. Suppose -l*n = -25*n - 2. Solve -n*i - g = -3*i for i. 1 Suppose -27*z - 87 + 762 = 0. Solve z*q + 55 = 14*q for q. -5 Suppose -3*p + 20 = -2*c + 7, 3*p + c = 7. Suppose 15 = -0*d + p*d. Suppose 18 + 30 = 4*u. Solve 0 = 2*y - d*y - u for y. -4 Suppose -36 = -4*s - 24. Suppose 0 = -4*g - 3 + s. Solve g*q = -q for q. 0 Suppose -8*d = -27*d + 76. Suppose 6 = 7*b - d*b. Suppose -9*l + 4*l = 3*a + 12, -8 = l + 2*a. Solve l = -4*k + b*k for k. 0 Let x be 0 + -2 + 24/3. Let h be ((-4)/x)/((-5)/(-45)). Let p be (h/3)/(2 - 3). Solve -20 = p*f + 2*f for f. -5 Let c(p) = -p**3 - 6*p**2 - 8*p + 6. Suppose 5*j + 10 = -2*d, 2*d = -4*j - d - 1. Let z be c(j). Solve 4 + z = 2*l for l. 5 Let m(g) = g**3 + 6*g**2 - 3*g + 1. Let q be m(-7). Let l be 345/q - (-4)/(-18). Let h(z) = z**2 + 13*z + 2. Let s be h(l). Solve -3 = -s*r + 5 for r. 4 Let y = 15 - 10. Let h(j) = 4*j - 17. Let d = -40 + 45. Let z be h(d). Solve z = n + y for n. -2 Let l(f) = -f. Let q be l(-3). Let p be (-32)/q + (-5)/15. Let b = p - -13. Solve 2*w + b*w + 16 = 0 for w. -4 Let l = -18 - -26. Suppose -4*z + l = -6*z. Let k be (-3)/(0 - -3)*z. Solve -f + 10 = k*f for f. 2 Suppose 0 = -5*c - 20, q + c + 4*c = -19. Solve -9*y = 8 + q for y. -1 Let t(z) = z**2 + 2*z - 1. Let q be t(-3). Let b(i) = -2*i**2 - 37*i - 49. Let d be b(-17). Solve -q*k - 10 = -d for k. -4 Let h = 968 + -962. Solve h*i - 4 = -16 for i. -2 Let w be ((-11960)/(-6))/5 - 24/(-72). Solve -x + w = 402 for x. -3 Let x(z) = -2*z - 12. Let h be x(-9). Suppose 5*a + 3*f = h*f - 12, -3*a + 5*f = 20. Solve -2*q - 4 - 6 = a for q. -5 Let j = -152 + 154. Solve j*f = f - 3 for f. -3 Suppose 0 = 10*b - 51 - 39. Solve 3*c - b = 6 for c. 5 Let p be (-45951)/(-408) - 10/16. Solve 0 = -5*i - 87 + p for i. 5 Suppose 6*c + 10*c + 48 = 0. Let q be 7 + c + -1 + (0 - 2). Let n = 7 + 2. Solve 0 = -2*w + q + n for w. 5 Suppose 28*s - 13*s = 10*s. Solve s = -3*g - g - 8 for g. -2 Let o(f) = -f - 3. Let b be o(-13). Let n(t) = -t**3 - 6*t**2 + 3*t + 10. Let z be n(-6). Let d be (-8 + b)/((-2)/z). Solve 0 = 4*r - d for r. 2 Suppose -2*g + 2*c - 2 = -6, 3*c = -6. Solve g = 4*q + 4*q + 16 for q. -2 Suppose -3*g + 8*g = -w - 16, 3*w + 18 = -5*g. Let p be 2*(14/6 - w/(-3)). Suppose 0 = -u - 2*u + 12. Solve -p*b = -12 + u for b. 2 Let a(u) = u**3 + 12*u**2 + 12*u + 6. Let v be a(-11). Let o be (4 - 1) + -1 + v. Let n be o/12 - 49/(-4). Solve -4*d + n = -7*d for d. -4 Let q be 3 - ((-33)/(-2) - (-3)/(-2)). Let g be ((-24)/9)/(8/q). Solve 0 = g*s - s for s. 0 Let z(o) = o - 19. Let q be z(-8). Let s be (-1)/3 - (-639)/q. Let u be s*((-1)/(-3))/(-1). Solve 4*m - 12 = u for m. 5 Let v be -8*(-9)/288 - (-11)/4. Solve -5 = -v*n - 20 for n. -5 Suppose 2*f - 212 = -12. Let d = f - 97. Solve 0 = -0*x + d*x for x. 0 Let s(n) = -n**3 + 6*n**2 - 2*n - 11. Let v be s(5). Solve -4 = -v*m + 4 for m. 2 Let l = -6 + 8. Suppose -1 = -2*c + 5. Solve c*q - l = 4*q for q. -2 Suppose -3*q = -8*q + 115. Suppose -9*m - 108 = 3*m. Let t = m + q. Solve 0 = -5*o - t - 11 for o. -5 Let y = 921 - 916. Solve 2 + 13 = y*z for z. 3 Let x be 150/27 - -8*5/90. Suppose 5*h - 20 = 105. Solve -s + x*s = h for s. 5 Let l(c) = -c + 24. Suppose -267 = -9*v - 87. Let x be l(v). Solve 0 = -5*q - x + 19 for q. 3 Let i(t) = t**3 - 4*t**2 + 6*t - 4. Let k be i(4). Solve -7 = 13*g - k*g for g. 1 Let j(g) = -40*g + 340. Let z be j(8). Solve z*t = 18*t + 6 for t. 3 Suppose 27 = -4*w + 187. Suppose 5*f = -2*i + 11 + 5, -w = -5*i - f. Solve -2 = 2*x - i for x. 3 Suppose -17*t + 8 - 8 = 0. Solve t = g - 51 + 49 for g. 2 Let q be ((-32)/24)/((-2)/21). Suppose q = 5*m - 1. Suppose 2*u + m*u = 15. Solve -7 = -u*h + 2 for h. 3 Let w(n) = -4*n - 163. Let q be w(-41). Solve 0 = -3*x - 7 + q for x. -2 Let c = -15 - -18. Suppose c = -s + 2*s. Let g = -146 - -148. Solve -g*o - s*o - 25 = 0 for o. -5 Let c(f) = -5*f**2 + 4*f - 3. Let i(g) = -5*g**2 + 3*g - 2. Let n(z) = 3*c(z) - 4*i(z). Let b be n(1). Let o be 1/(-1 + 3/2). Solve -2 = -b*r + o for r. 1 Let f be 27/4 + (-12)/16. Suppose 3*n + f = 18. Suppose -4*o - 5*m + 25 = o, o - 5 = -3*m. Solve -n*a + 1 = o for a. -1 Let b(s) = 44*s. Let v be b(1). Suppose -3*c - 3*z + 0 = -33, -4*c = -z - v. Let j = c + -9. Solve l = -j*l for l. 0 Let x be 4/(-3)*9/(-12)*2. Solve -x = 3*y + 10 for y. -4 Let c(s) = -s**3 + 9*s**2 - 2*s + 11. Let i be c(9). Let u = 1 - i. Solve d + u = -d for d. -4 Let k(r) = r**2 - 7*r + 21. Let p be k(5). Solve -15*x + 12 = -p*x for x. 3 Suppose 40*l - 720 = 10*l. Solve -4*t - l = -4 for t. -5 Let g(s) = -s**3 - 14*s**2 + 11*s - 45. Let m be g(-15). Solve 9*b - 12*b = m for b. -5 Let a(k) = 9*k + 9. Let h be a(-1). Solve 3*z + 15 - 12 = h for z. -1 Let r be (-3)/4 + -2 + 11/(-44). Let s(j) = j**3 + 4*j**2 + 2*j + 1. Let k be s(r). Solve 4*q = -k - 4 for q. -2 Suppose -i - 2*i = -3*a - 21, -4*i - 4*a = 12. Solve j = 2*j + i*j for j. 0 Let u(f) = 4*f - 25. Let k be u(8). Suppose 0 = k*s - 41 + 13. Solve s*j - 5*j + 1 = 0 for j. 1 Suppose -4*s = -0*c - 2*c - 8, 5*s - 3*c - 8 = 0. Suppose -a + s = -0*a. Suppose -5*m + 3*v + 13 = 4*v, 5*v = a*m + 7. Solve z = 3*z + m for z. -1 Suppose j - 5 = -z, -5*z = 4*j + 9 - 27. Solve 9*v - j*v + 8 = 0 for v. -4 Suppose 0 = -3*q - 5*l + 5, 3 = -6*q + 2*q + 3*l. Suppose q = 17*y - 15*y. Solve -5*k + 3*k + 6 = y for k. 3 Let x(c) be the first derivative of -2*c**2 - 2*c - 9. Let d be x(-4). Let n = 18 - d. Solve n*u = 3 + 5 for u. 2 Suppose 5*w + 12 + 13 = 0. Let g(c) = -2*c - 8. Let p be g(w). Solve 14 = 3*q + p for q. 4 Let x(h) = -h**2 + 0*h**2 + 3 + 4*h + 13 + 2*h. Let p be x(7).
{ "pile_set_name": "DM Mathematics" }
-7*b + 12 = -b for b. 2 Solve 6*k + 24 = 10*k for k. 6 Solve 0 = 5*d + d - 0*d for d. 0 Solve 39*y - 210 = 4*y for y. 6 Solve 0 = 7*u - 27 + 6 for u. 3 Solve -3*k = 6*k - 13*k for k. 0 Solve -54*a + 21 = -51*a for a. 7 Solve 55*f + 59*f = 0 for f. 0 Solve 4*r + 12*r - 48 = 0 for r. 3 Solve -21*h - 17*h = -6*h for h. 0 Solve 0 = -5*m - 0 - 25 for m. -5 Solve k - 8*k = -21 for k. 3 Solve -k + 22 = 18 for k. 4 Solve -37*v = -50*v - 91 for v. -7 Solve 0 = q + 4*q + 25 for q. -5 Solve 12*h - 15 = 33 for h. 4 Solve -14*z = -442 + 540 for z. -7 Solve -19*x + 121 = -31 for x. 8 Solve 0 = 7*m - 0*m + 21 for m. -3 Solve -a = -146 + 151 for a. -5 Solve -123 = -13*w - 45 for w. 6 Solve 7*y = -8 + 36 for y. 4 Solve 10 = -7*t + 31 for t. 3 Solve -6*q = 15 + 9 for q. -4 Solve 50 = -43*v + 38*v for v. -10 Solve -44 + 36 = 4*j for j. -2 Solve -4*n - 2 = -2*n for n. -1 Solve -111 = 68*t + 93 for t. -3 Solve -24*i - 43 = 77 for i. -5 Solve 8*h = 11*h - 12 for h. 4 Solve 9 = -41*h + 38*h for h. -3 Solve 3*f - 52 = 16*f for f. -4 Solve 0 = 31*l - 37*l for l. 0 Solve 14*i + 19 = 75 for i. 4 Solve 115 = -6*q + 151 for q. 6 Solve -30 = 13*v - 17 for v. -1 Solve 2*i = 26 - 40 for i. -7 Solve -81 = 13*w - 29 for w. -4 Solve 43*m + 49*m = -552 for m. -6 Solve 51*u + 70 = 478 for u. 8 Solve -8*g = -4*g - 12 for g. 3 Solve -8*h + 14 = -10 for h. 3 Solve -20*j - 315 = 43*j for j. -5 Solve -23*u = 24*u + 141 for u. -3 Solve 38 = 12*w + 146 for w. -9 Solve -37 = -7*i + 5 for i. 6 Solve -61 - 104 = -33*x for x. 5 Solve 0 = 3*q - 6*q for q. 0 Solve -15*m + 14*m = 0 for m. 0 Solve 5*w + 7 = -8 for w. -3 Solve 132*l + 24 = 138*l for l. 4 Solve -6*z = 5 - 53 for z. 8 Solve -4*f + 4 = -16 for f. 5 Solve 3746*q - 3757*q = -110 for q. 10 Solve -u + 41 - 42 = 0 for u. -1 Solve 0 = -2*j - 7*j + 45 for j. 5 Solve 213 = 21*f + 108 for f. 5 Solve 15 = 2*b + 21 for b. -3 Solve -7 = 9*u + 20 for u. -3 Solve -3308 = -4*f - 3292 for f. 4 Solve -7*m + 2*m + 25 = 0 for m. 5 Solve -25*o + 30*o + 25 = 0 for o. -5 Solve 11 + 5 = 4*c for c. 4 Solve -505*u = -495*u for u. 0 Solve -8*d + d = 0 for d. 0 Solve -308*t + 305*t = -6 for t. 2 Solve -17 = 5*d - 7 for d. -2 Solve 34 - 16 = -6*i for i. -3 Solve -8*r + 6 = -26 for r. 4 Solve -25*r - 1 = -26 for r. 1 Solve 400*d + 36 = 388*d for d. -3 Solve -8*j - 21 = -5 for j. -2 Solve -10 = -29*q + 34*q for q. -2 Solve -21*h - 40 = -166 for h. 6 Solve -4*v + 2 = -10 for v. 3 Solve 558 - 516 = -6*v for v. -7 Solve 8 + 52 = -6*v for v. -10 Solve 441*l - 16 = 437*l for l. 4 Solve 4 = -415*h + 414*h for h. -4 Solve 2*j = 9*j + 42 for j. -6 Solve 9*d - 14*d - 20 = 0 for d. -4 Solve -68 = -19*f - 182 for f. -6 Solve 8*k = -k - 36 for k. -4 Solve -g - 5*g = 0 for g. 0 Solve 1719 - 1722 = -3*g for g. 1 Solve -8*a + 54 - 46 = 0 for a. 1 Solve 0 = 28*u + 8*u - 180 for u. 5 Solve 9 = -0*t + 3*t for t. 3 Solve 318 + 32 = -35*p for p. -10 Solve -r + 4*r + 9 = 0 for r. -3 Solve -3*x = -2*x + 2*x for x. 0 Solve 82*p + 4 = 84*p for p. 2 Solve -7381 = -9*s - 7282 for s. 11 Solve 0 = 9*r - 7*r - 8 for r. 4 Solve -18 - 24 = -7*i for i. 6 Solve 0 = 53*u - 79*u for u. 0 Solve -96*d - 10 = -91*d for d. -2 Solve -2*i + 16 = 22 for i. -3 Solve -19*z + 63 + 32 = 0 for z. 5 Solve -12*q + 16 = 76 for q. -5 Solve 33*o = 3 - 168 for o. -5 Solve 16 = 117*s - 101*s for s. 1 Solve 0 = -8*i + 16*i for i. 0 Solve 5*r = 9*r + 8 for r. -2 Solve 3*p + 7*p = -60 for p. -6 Solve 294*n + 32 = 278*n for n. -2 Solve 0 = -2093*f + 2097*f + 24 for f. -6 Solve 4*x - 30 = -10 for x. 5 Solve 11 = -18*o + 83 for o. 4 Solve -38 = -16*i + 42 for i. 5 Solve -8*i + 4*i = -4 for i. 1 Solve -8*u = -32 - 8 for u. 5 Solve 583 = -7*i + 541 for i. -6 Solve 0 = -39*n + 17*n - 132 for n. -6 Solve -3 = 2*w - 3 for w. 0 Solve -126*n = -127*n for n. 0 Solve 49*f = 303 - 107 for f. 4 Solve -4 = -5*g + 11 for g. 3 Solve 0 = 15*x - 13*x + 4 for x. -2 Solve 3*t + 6 = -0 for t. -2 Solve -a = 230 - 234 for a. 4 Solve -f = -6 + 5 for f. 1 Solve 4 - 29 = 5*g for g. -5 Solve -31*k + 82 = 299 for k. -7 Solve -20 = 13*c + 45 for c. -5 Solve -16 - 101 = -39*v for v. 3 Solve -157*y - 144 = -181*y for y. 6 Solve -5*q = -3*q for q. 0 Solve 0 = -42*s + 53*s + 77 for s. -7 Solve 180 = 47*h - 11*h for h. 5 Solve 0 = -5*d + 3 + 2 for d. 1 Solve 3 = -48*r + 49*r for r. 3 Solve 193*l + 1 = 194*l for l. 1 Solve 12*b = -56 + 20 for b. -3 Solve 0 = -31*s - 129 - 150 for s. -9 Solve 28*o - 15 = 13 for o. 1 Solve -81*s = -25 - 56 for s. 1 Solve -32 + 40 = -2*s for s. -4 Solve -21*m + 4 = -19*m for m. 2 Solve -14*y + 259 - 175 = 0 for y. 6 Solve 4*b - 4 = 3*b for b. 4 Solve 233*l + 30 = 228*l for l. -6 Solve 0 = -6*o + 13 - 31 for o. -3 Solve -23 + 15 = -4*o for o. 2 Solve -s + 219 = 218 for s. 1 Solve 0 = 25*o - 14*o + 33 for o. -3 Solve 6*f - 22*f = 48 for f. -3 Solve 71*j - 83*j + 12 = 0 for j. 1 Solve 0 = 60*c - 28*c - 224 for c. 7 Solve 0 = -5*d + 1 + 4 for d. 1 Solve -4*a = -18 + 10 for a. 2 Solve -117*o + 48 = -109*o for o. 6 Solve 126 - 94 = 8*v for v. 4 Solve 6*l = -1492 + 1462 for l. -5 Solve 0 = -35*h + 22*h + 65 for h. 5 Solve 23 - 11 = -4*h for h. -3 Solve -8*k - 983 = -927 for k. -7 Solve -2*k + 6 - 4 = 0 for k. 1 Solve -13*a - 66 = 9*a for a. -3 Solve -48 = 6*x - 12*x for x. 8 Solve 0 = 14*m - 7*m - 28 for m. 4 Solve -43*s + 60 = -33*s for s. 6 Solve 76 - 72 = w for w. 4 Solve 69*l + 12 = 65*l for l. -3 Solve 4*k - 120 = -16*k for k. 6 Solve 3*d - 5*d = -7*d for d. 0 Solve 0 = 107*i - 87*i + 140 for i. -7 Solve -z - 2 = -5 for z. 3 Solve 0*r - 132 = -22*r for r. 6 Solve -31 = 12*k + 5 for k. -3 Solve 4*p + 25*p + 145 = 0 for p. -5 Solve -30 = 111*m - 117*m for m. 5 Solve 2*f = 4*f for f. 0 Solve 184 = -10*p + 244 for p. 6 Solve 0 = -2*v - 38 + 40 for v. 1 Solve -39*p = -11*p - 280 for p. 10 Solve 48*c - 37 = 155 for c. 4 Solve p = 4*p - 3 for p. 1 Solve -24*f = -23*f + 5 for f. -5 Solve 2*m - 11 = -5 for m. 3 Solve -2 - 3 = -5*v for v. 1 Solve 6*m + 38 = 32 for m. -1 Solve 243*f - 2 = 241*f for f. 1 Solve 0 = -112*h + 126*h + 56 for h. -4 Solve 4*p - 5 = -17 for p. -3 Solve 86*f + 39*f - 125 = 0 for f. 1 Solve 0*x = 5*x - 10 for x. 2 Solve -4*l + 20*l = -16 for l. -1 Solve -70*y - 15 = -67*y for y. -5 Solve -88*p = -28*p + 60 for p. -1 Solve -29*x = 131 + 72 for x. -7 Solve 7*x = 10*x - 9 for x. 3 Solve -6 + 8 = -2*p for p. -1 Solve -3*w + 72 = -27*w for w. -3 Solve 2*k = k + 2 for k. 2 Solve 57*w + w + 174 = 0 for w. -3 Solve 0 = -7*s + 2*s for s. 0 Solve 120*y - 54 = 129*y for y. -6 Solve 0 = -24*h + 19*h + 25 for h. 5 Solve -157*w + 42 = -115*w for w. 1 Solve -39 - 9 = 12*r for r. -4 Solve 3937 = 2*c + 3931 for c. 3 Solve -12*m + 10 = -22*m for m. -1 Solve -7*a - 7*a = 42 for a. -3 Solve 186 - 53 = -19*n for n. -7 Solve 3*m + 6 = 15 for m. 3 Solve -11*j - 7 = 4 for j. -1 Solve 12*s - 9*s - 6 = 0 for s. 2 Solve 201 - 68 = 19*i for i. 7 Solve 22*o = -12 + 188 for o. 8 Solve 14*c - 7 = 7*c for c. 1 Solve -8*u - 5 = 11 for u. -2 Solve -23*z = -20*z + 12 for z. -4 Solve 0 = 4*a + 3 - 23 for a. 5 Solve -74 - 101 = -35*v for v. 5 Solve -4*y + 6 + 10 = 0 for y. 4 Solve -1531*a = -1526*a + 5 for a. -1 Solve -13*c = -17*c for c. 0 Solve -88 = -10*x - 48 for x. 4 Solve -73*d = -114*d + 287 for d. 7 Solve 35*j + 11 = 11 for j. 0 Solve -5*f - 39 = -64 for f. 5 Solve 62 = 31*w - 62 for w. 4 Solve -4*c + 373 = 401 for c. -7 Solve 2*f + f = 6*f for f. 0 Solve -43*p = -33*p - 10 for p. 1 Solve -11*f - 6 = -13*f for f. 3 Solve -14*q = -16*q + 4 for q. 2 Solve -53*w - 162 = -80*w for w. 6 Solve 5*m + 7493 - 7543 = 0 for m. 10 Solve -45*w = -42*w - 15 for w. 5 Solve 2*f = 11*f - 9 for f. 1 Solve 27*w + 56 = 41*w for w. 4 Solve -26 - 34 = 20*h for h. -3 Solve 23*f - 197 = -13 for f. 8 Solve 17*z - 16*z = 5 for z. 5 Solve -9*j + 35 = -1 for j. 4 Solve 434*y - 451*y = 17 for y. -1 Solve 0 = -131*y + 136*y + 15 for y. -3 Solve 4*d + 79 = 83 for d. 1 Solve 140*z - 261 = -1101 for z. -6 Solve -409 = -6*b - 373 for b. 6 Solve 7*t + 531 = 66*t for t. 9 Solve 1579 = -6*p + 1561 for p. -3 Solve -8*o - 18 = o for o. -2 Solve -157*z - 16 = -161*z for z. 4 Solve 4 = 2*h + 10 for h. -3 Solve 0 = 96*t - 39*t - 228 for t. 4 Solve -333*p = -334*p + 3 for p. 3 Solve -39*k + 20 + 58 = 0 for k. 2 Solve 59*t - 53*t = -30 for t. -5 Solve -10 = 2*q - 0*q for q. -5
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
*r**3 Collect the terms in -55*q**2 + 55*q**2 + 3*q**3 + 4*q**3. 7*q**3 Collect the terms in -4*w + 7*w - 21 - 3*w + w. w - 21 Collect the terms in -240*x**2 + 236*x**2 + 8 + 10 - 18. -4*x**2 Collect the terms in 8*g - 6*g + 2*g. 4*g Collect the terms in -3*b + 2*b + 5*b. 4*b Collect the terms in -t - 17*t - 19*t. -37*t Collect the terms in -90*k**2 + 93*k**2 + 1 - 1. 3*k**2 Collect the terms in -4*k + 19*k - 10*k**2 - 15*k. -10*k**2 Collect the terms in -15 - 14*d + 15. -14*d Collect the terms in 0*g + 0*g - 36365*g**3 + 36364*g**3. -g**3 Collect the terms in 337*n - 33*n**2 - 337*n. -33*n**2 Collect the terms in 993*a + 328*a + 80*a. 1401*a Collect the terms in 1216644 - 13*m - 1216644. -13*m Collect the terms in 7 - 10 + 5 - 12*v - 7*v. -19*v + 2 Collect the terms in -4*g + 20*g + 0*g + 4*g. 20*g Collect the terms in -18*b**2 - 7*b**2 - b**2 + b**2. -25*b**2 Collect the terms in 8*o**3 + 2*o**3 + o**3 + 2*o. 11*o**3 + 2*o Collect the terms in -1 + 4 + 1175*x - 3. 1175*x Collect the terms in -1 - 12 + 13 + 5*f**2. 5*f**2 Collect the terms in 14 - 4 - 289*u - 10. -289*u Collect the terms in 22*f**2 - 4*f**2 - 8*f**2 - 4*f**2. 6*f**2 Collect the terms in 55*k**2 + 46*k**2 - 103*k**2. -2*k**2 Collect the terms in -6*n**2 + 7*n**2 + 28*n**2. 29*n**2 Collect the terms in 0*u**3 - 7*u**3 + 10*u**3 + 0*u**3. 3*u**3 Collect the terms in -600*y + 1204*y - 603*y. y Collect the terms in 117*s**3 + 114*s**3 - 229*s**3. 2*s**3 Collect the terms in 12 - 12 - 191*l + 189*l. -2*l Collect the terms in 0*x**3 - 2*x**3 + 7*x**3 - 7*x**3. -2*x**3 Collect the terms in -3521*t - 3521*t + 7038*t. -4*t Collect the terms in 2 - 4*a - 1 - 4 - 3. -4*a - 6 Collect the terms in -3887*m + 3887*m - 11*m**3. -11*m**3 Collect the terms in -134*g - 25*g**3 + 134*g. -25*g**3 Collect the terms in 252*p**3 - 34*p**3 + 118*p**3. 336*p**3 Collect the terms in -6*c**3 - c + c + 0*c. -6*c**3 Collect the terms in -15*c**3 - 3*c**3 + 2*c**3. -16*c**3 Collect the terms in -7*z**3 + 4*z**3 + 0*z**3. -3*z**3 Collect the terms in -2*r**3 - 2*r**2 + r**2 - 2*r**2 - 3*r**2. -2*r**3 - 6*r**2 Collect the terms in -1022*v**2 + 4 + 1 - 5. -1022*v**2 Collect the terms in -8*s + 0*s - 7*s - 7*s. -22*s Collect the terms in -11 + o**3 - 22 - 2*o**3 - o**3. -2*o**3 - 33 Collect the terms in 0 + 18507*x**3 + 0 - 18509*x**3. -2*x**3 Collect the terms in 11*s**2 + 46*s - 46*s - 12*s**2. -s**2 Collect the terms in 2*o - 9358*o**2 - 2*o + 4677*o**2 + 4682*o**2. o**2 Collect the terms in 61*y**2 + 218*y**2 - 157*y**2. 122*y**2 Collect the terms in 48*i - 9*i + i + 14*i. 54*i Collect the terms in 21*j**2 - 3 - 96*j**2 + 2. -75*j**2 - 1 Collect the terms in -2*x + 4*x + 0*x + 4*x. 6*x Collect the terms in -28*x**3 + 18 - 10 - 8. -28*x**3 Collect the terms in 29*t - 28 + 28. 29*t Collect the terms in -88*f**2 - 72*f**2 + 159*f**2. -f**2 Collect the terms in 3*w**2 - 4 + 5 - 4. 3*w**2 - 3 Collect the terms in -4*b**3 + 2*b**3 + b**2 - 15*b**3 + b**2. -17*b**3 + 2*b**2 Collect the terms in 5*r - 5*r + 0*r - 18*r**2. -18*r**2 Collect the terms in 193*h**2 - 111*h**2 - 94*h**2. -12*h**2 Collect the terms in 0*n + n + 8*n + 32*n. 41*n Collect the terms in 10*k + 0*k - 2*k. 8*k Collect the terms in 102*b**2 + 16*b**2 + 106*b**2. 224*b**2 Collect the terms in -11*a - 9*a + 26*a. 6*a Collect the terms in 7 - 2490*h - 6 + 182*h - 3. -2308*h - 2 Collect the terms in 3 - 43*z**3 - 3. -43*z**3 Collect the terms in 120*r**3 - 362*r**3 + 118*r**3 + 138*r**3. 14*r**3 Collect the terms in -20*f**3 + 8*f**3 + 0*f**3. -12*f**3 Collect the terms in -29*s + 74*s + 68*s. 113*s Collect the terms in 0*v - 131*v - 10*v. -141*v Collect the terms in -351*k - 93*k + 99*k. -345*k Collect the terms in 31*d**2 - d**3 - 146*d**2 + 5*d**3 + 53*d**2. 4*d**3 - 62*d**2 Collect the terms in -1233*l + 9*l**2 + 1233*l. 9*l**2 Collect the terms in 40 + 19*l - 20*l - 40. -l Collect the terms in 52*x - 121*x + 81*x. 12*x Collect the terms in 2493*g - 14*g**2 - 2493*g. -14*g**2 Collect the terms in -6*s + 18*s - 13*s. -s Collect the terms in 5 - 243*l - 5 + 261*l. 18*l Collect the terms in k**2 + 5747 - 5747. k**2 Collect the terms in 13*q**2 - 21*q**2 + 5*q**2 + 4*q**2. q**2 Collect the terms in 30*w - 9*w - 9*w - 8*w. 4*w Collect the terms in -427*t + 427*t + 90*t**2. 90*t**2 Collect the terms in -171706 + 171706 - 12*y. -12*y Collect the terms in -1 + 325*u + 1 - 294*u. 31*u Collect the terms in 45*h - 4 + 4. 45*h Collect the terms in 46*w - 13*w - 10*w - 18*w. 5*w Collect the terms in 7 + 1 - 8 - 232*u**3. -232*u**3 Collect the terms in -133 + 133 - 8*w**3. -8*w**3 Collect the terms in -1 + 1 + 303*z**3. 303*z**3 Collect the terms in -45*x**2 + 25*x**2 + 36*x**2 + 127*x**2. 143*x**2 Collect the terms in -441 - 4*g + 441. -4*g Collect the terms in z**2 - 244*z + 244*z. z**2 Collect the terms in 13*w - 55*w + 40*w. -2*w Collect the terms in 61*a - 113*a + 56*a. 4*a Collect the terms in -5*d + 5*d - 37*d**3 + 33*d**3. -4*d**3 Collect the terms in -18*o**3 + 0 + 0 + 20*o**3. 2*o**3 Collect the terms in 9*c**2 + 3*c - 2*c**2 - 3*c. 7*c**2 Collect the terms in 680*k**2 + 779*k**2 + 829*k**2. 2288*k**2 Collect the terms in -17*q + 23*q - 14*q**2 - 6*q. -14*q**2 Collect the terms in -74*h**2 - 66*h**2 + 129*h**2. -11*h**2 Collect the terms in -86 + 43 + 44*s**2 + 43. 44*s**2 Collect the terms in 2 - 128*s**3 - 2 + 123*s**3. -5*s**3 Collect the terms in 8*l**3 - 3*l**3 + 64298 - 64298. 5*l**3 Collect the terms in 3014*a**3 - 4*a - 3020*a**3 + 4*a. -6*a**3 Collect the terms in -q**3 + 60630 - 121264 + 60634. -q**3 Collect the terms in 187*w**2 - 74*w**2 + 1 + 1 + 0. 113*w**2 + 2 Collect the terms in -3 + 4*o**2 + 3 - 20*o**2. -16*o**2 Collect the terms in 0*g + g**2 - 2*g + 2*g. g**2 Collect the terms in 2 + 4441*k**3 - 2 - 4440*k**3. k**3 Collect the terms in 0*v**2 - 3*v**2 - 10*v**2. -13*v**2 Collect the terms in 463 + 2*b**2 - 463. 2*b**2 Collect the terms in 6*t - 17*t - 15*t. -26*t Collect the terms in -185*z - 41*z - 2 + 2. -226*z Collect the terms in -8*w + 51*w - 8*w + 19*w. 54*w Collect the terms in 14*a + 8*a - 30*a + 7*a. -a Collect the terms in -7*x + 12*x + 7*x**3 - 5*x. 7*x**3 Collect the terms in -38 + 74 - 36 - 7*x. -7*x Collect the terms in 190*w**2 + 214*w**2 + 12*w - 12*w. 404*w**2 Collect the terms in 3*j**3 - 39*j**2 + 5*j**3 + 39*j**2 + 4*j**3. 12*j**3 Collect the terms in -18 + 9 - 77 - 32*t. -32*t - 86 Collect the terms in -y**3 + 15*y**3 - y**3. 13*y**3 Collect the terms in -28*a + 5*a + 3*a**2 + 23*a. 3*a**2 Collect the terms in 710*h + 705*h - h**3 - 1415*h. -h**3 Collect the terms in 101903 - 101903 + 2*s**2. 2*s**2 Collect the terms in 2*d**2 - 3*d**2 + 6*d**2 - 2*d**2. 3*d**2 Collect the terms in -23*t**3 + 2*t**3 - 39*t**3. -60*t**3 Collect the terms in -464*y**2 + 2*y**3 - 459*y**2 - 463*y**2 + 1386*y**2. 2*y**3 Collect the terms in -3 - 9*l**2 + 0*l - 2*l + 3. -9*l**2 - 2*l Collect the terms in 18*u + 58 + 60 + 65 - 183. 18*u Collect the terms in 18554*p**3 - 18555*p**3 + 4 - 4. -p**3 Collect the terms in -5*b + 0 - 7*b**2 + 0. -7*b**2 - 5*b Collect the terms in 5*s + 18*s + 23*s - 9*s. 37*s Collect the terms in -727*a + 1459*a - 728*a. 4*a Collect the terms in 7*h + h**3 - 22*h + 15*h. h**3 Collect the terms in 19*x**2 + 12*x**3 - 26*x**2 + 6*x**3 + 7*x**2. 18*x**3 Collect the terms in -8*l**2 - 19*l**2 + 2 + 54*l**2. 27*l**2 + 2 Collect the terms in -23*a - 2*a**2 - 29*a - 6*a + 58*a. -2*a**2 Collect the terms in 14*r**2 + 6*r**2 - 2*r**2 + 22*r**2. 40*r**2 Collect the terms in 12*p**2 + p**2 + 9*p**2. 22*p**2 Collect the terms in 0*u + 515*u**3 + 0*u + 1610*u**3. 2125*u**3 Collect the terms in -4 + 4 - 80*a**3. -80*a**3 Collect the terms in -1552*m**2 - m**3 + 1552*m**2 - 2*m**3. -3*m**3 Collect the terms in -6*t - 7*t + 5*t - 3*t. -11*t Collect the terms in -49*i**3 + 53*i**3 - 1 + 1. 4*i**3 Collect the terms in 3*i**2 + 361*i + 341*i - 702*i. 3*i**2 Collect the terms in 224 + 230 + 4*z - 454. 4*z Collect the terms in 4*t**2 - 5*t**2 - 9*t**2 - 10*t**2. -20*t**2 Collect the terms in -1 + 4 - 2 + 32*l - 57*l. -25*l + 1 Collect the terms in -q + 6*q - 50*q**3 - 5*q. -50*q**3 Collect the terms in -4*w - 41 - 44 + 85. -4*w Collect the terms in -71*a**2 + 155*a**2 + 71*a**2. 155*a**2 Collect the terms in 412 + 413 -
{ "pile_set_name": "DM Mathematics" }
*4 + 7*b Expand -4 + 7 + v + 0*v + (1 + 3 - 1)*(-v + v + v) + 4*v - 3*v - 3*v. 2*v + 3 Expand (-3 + 1 - 5)*(2*q**4 - 3*q**4 + 0*q**4). 7*q**4 Expand (-6*r**2 + 11*r - 11*r)*(-1 + 1 - 2*r). 12*r**3 Expand (2 + 0 + 0)*((1 + 3*b - 1)*(24*b + 16*b - 50*b) + (-2 + 2 + 2*b**2)*(0 + 1 - 2) + 1 - b**2 - 1 - b**2 + 3*b**2 + 0*b**2). -62*b**2 Expand (u - 4 + u + 0)*(u + 4*u - 3*u) + 0*u**2 + 5*u**2 - 4*u**2. 5*u**2 - 8*u Expand (-7*v + 8*v - 28*v)*(-2*v - v + 5*v)*(0*v + 0*v - 2*v). 108*v**3 Expand (0*f + 3*f - f)*(-2*f**2 + 0*f**2 + 0*f**2) + (-f - 6*f + 3*f)*(3*f**2 - 2*f**2 + 0*f**2). -8*f**3 Expand -2*w**5 - 11*w**5 - 3*w**5 + w**5 + 3*w**5 - 2*w**5 + (w**3 - w + w)*(-w**2 - w + w). -15*w**5 Expand (-1 - 3 + 6)*(-1 + 0 + 0)*(-5*w + w - 4*w). 16*w Expand (2 - 2 + j + (1 + 0 - 2)*(-2 + 2 - j))*(-j - 3*j + 2*j) + 3*j**2 - 10*j**2 - 15*j**2. -26*j**2 Expand -2*d**4 + 2*d**4 + d**5 + (-d**3 - 2*d**2 + 2*d**2)*(2*d**2 + 0 + 0) - 362*d**2 + 362*d**2 - 29*d**5. -30*d**5 Expand (-i**2 + 3*i - 3*i)*(2*i**3 + 4*i**3 - i**3). -5*i**5 Expand -5*r**5 + r**5 + 6*r**5 + (-1 + 4 - 2)*(0*r**5 + 3*r**5 - r**5) - 2*r**5 + 0*r**5 + 3*r**5. 5*r**5 Expand (-2*b + 0*b + 4*b)*(0*b**2 - 2*b**2 + 11*b**2) + (2*b**2 - 3*b**2 + 0*b**2)*(-4*b + 4*b + 3*b). 15*b**3 Expand (8*x + 5*x - 6*x + (-2 - x + 2)*(-1 - 3 + 3) + 0 - 2*x + 0)*(1 + 3 - 6). -12*x Expand -2*w + 3*w**4 + 2*w + (0*w - 2*w + 0*w)*(-5*w**3 + 3*w**3 + 0*w**3) + (7*w + 4*w - 5*w)*(w**3 - 2*w**3 + 5*w**3). 31*w**4 Expand (2*c + 1 - 1)*(0 + 0 - 2) + c + 3 - 3 + (1 + 0 + 0)*(-c - 1 + 1) + 0*c + 2*c - 4*c. -6*c Expand (0*m + 4 + 2*m - 3)*(-2 + 2 - 3*m)*(5 + 1 - 4). -12*m**2 - 6*m Expand (4*m - m - 6*m)*(-3 - 1 + 7)*(3 - m - 3) + (-m - m + 0*m)*(-m + 0*m + 3*m). 5*m**2 Expand (-o + 3*o + o)*(1 + 4 - 4)*(-1 + 0 + 2). 3*o Expand (-1 - 1 + 3)*((4*x + 26 - 26)*(-1 - 1 + 3) + 2 - x - 2). 3*x Expand (3*w**4 - 2*w**4 - 6*w**4)*(-5*w - 4*w + 2*w). 35*w**5 Expand (2*j**3 - 5 + 5)*(3 - j**2 - 3) - 2 + 2 - j**5 + 0*j**5 - 2*j**5 + 3*j**5 - j**3 + j**5 + j**3. -j**5 Expand ((1 + 2 - 1)*(0*s + 0*s - s) + 2 - 2 - s)*(1 - 3*s - 1) + (s - s - 2*s)*(5*s - 3*s + 3*s). -s**2 Expand (15 - 31 - 22)*((0 - 4 + 2)*(-j - j + 0*j) + 0 + 0 + j). -190*j Expand (-o**3 - o**2 + o**2)*(-10*o - 21*o + 13*o). 18*o**4 Expand (-1 - 5 + 5)*(-5 + 1 + 3)*(-2*z - 4*z + 4*z). -2*z Expand (-2*o + o - o)*(-2 + 3 + 0)*(-2*o**2 + 2*o**2 - o**2). 2*o**3 Expand 3*v**4 - 7*v**4 + 2*v**4 + (0*v**2 + 0*v**2 - 2*v**3)*(2*v - 1 + 1) + 4*v**4 - 3*v**4 + 0*v**4 + 9*v**3 - 9*v**3 - 2*v**4 + 2*v**2 - 2 + 2 - 2*v**4. -9*v**4 + 2*v**2 Expand 0*k + 2*k**2 + 0*k + (-k + 3*k + 3*k)*(-1 + 1 - k). -3*k**2 Expand (-3*q**2 - q**2 + 2*q**2)*(-q - q + 3*q) + 29 + 37 + 30*q**3 - 64. 28*q**3 + 2 Expand (0 + 1 + 1)*(-2 + 2 - y) + (-2 - 1 - 3)*(-4*y + 5*y - 2*y). 4*y Expand (-2*j**3 - j**3 + j**3 + 0*j**3 + 2*j**3 - 3*j**3 + (2*j + j - 5*j)*(5*j**2 - 2*j**2 - j**2))*(0*j**2 + 2*j**2 + 2*j**2). -28*j**5 Expand (-k + k - k)*(k**3 - 2*k**3 - 6*k**3). 7*k**4 Expand (-2 + 1 - 3)*(2*s - 2*s + s)*(0 + 0 - 3)*(-1 + 2 - 3). -24*s Expand ((-1 + 2 + 1)*(0 + 2*f + 0) + 11*f - 27*f - 2*f)*(0 + 0 - 2*f**3). 28*f**4 Expand (2 + 2*q**2 - 24*q - 20*q + 39*q)*(6*q**3 - 2*q**3 - 3*q**3). 2*q**5 - 5*q**4 + 2*q**3 Expand (1 - 1 + f)*(f**2 - 2*f**2 + 2*f**2)*(0*f - 3*f + 2*f). -f**4 Expand (6*q + 4*q**4 + 2*q**2 - 1 - 6*q)*(4 + q - 4). 4*q**5 + 2*q**3 - q Expand (3*b**2 - 5*b**2 + 4*b**2)*(-b**3 + b**3 + 2*b**3) - b**5 + 7*b**4 - 39*b**5 - 7*b**4. -36*b**5 Expand 0*s + 2*s**2 + 0*s - s**2 + 2*s**2 - 3*s**2 + (2*s + 2 - 2)*(3*s - 4*s - s) + 0*s**2 + 3*s**2 - 4*s**2 - 2*s**2 + 62 - 60 + 4*s**2. -3*s**2 + 2 Expand -3*a**2 + 5*a**3 + 0*a**2 - 3*a**3 + 4*a**2 + 7*a**3 - 4*a**2 + 1 - 2*a**3 - 1 + (1 - 1 - a)*(3*a**2 - 3*a**2 + 2*a**2) + 2*a + 2*a**3 - 2*a. 7*a**3 - 3*a**2 Expand (2*o + 4*o + 22*o)*(-1 - o**4 + 1). -28*o**5 Expand 2*q + 2 - 3*q**2 + 0*q**2 + 10*q**2 + (-q - 4*q + 3*q)*(5 + 6*q - 5). -5*q**2 + 2*q + 2 Expand (6 - 6 + 4)*(2*z + 1 + z - 4*z). -4*z + 4 Expand 2*p**5 - 5*p**5 + 2*p**5 + p**5 + 2*p**5 - 2*p**5 + (0*p**3 + 3*p**3 - p**3)*(-6*p**2 + 2*p**2 + 3*p**2) + 5*p + 3*p**5 + 4*p - 10*p. p**5 - p Expand (-5 + 1 + 2)*(-10*i**2 + 2*i**2 + i**2). 14*i**2 Expand (-v**4 + v**4 - 2*v**4)*(-v + 0*v + 0*v + (2*v - 4*v + 0*v)*(2 + 1 - 2)). 6*v**5 Expand (-4 - 11 + 8)*(-2*c + 2*c - 2*c**3) - 8*c**3 - 2*c**3 + 2*c**3. 6*c**3 Expand (-4*k + 2*k + 6*k)*(18*k - 13*k + 10*k). 60*k**2 Expand (6*i + 0*i - 4*i)*(5 - 4*i - 5) + 0*i + i + 2*i**2 - 5*i + 1. -6*i**2 - 4*i + 1 Expand 3*t - 2*t + 0*t + (12 - 1 + 1)*(-t - 2*t + 5*t) + 5*t - 5*t - 2*t - 2 + 2 + 2*t. 25*t Expand (-10*w + 106 - 106)*(-1 + 2*w + 1)*(-5 + 4 - 1). 40*w**2 Expand (-2*s**3 + 4*s**3 + 0*s**3)*(3664 - 3664 - 235*s). -470*s**4 Expand (6 - 13 - 10)*(-a**4 + 0*a**2 + 0*a**2). 17*a**4 Expand (3 - 3 + i)*((-1 + 1 + i)*(-2*i**3 + 2*i - 2*i) - 3*i + 3*i + i**4 + 3*i**3 - 3*i**3 - i**4 - i**4 + 3*i**4 - i**4 - 8*i**2 + 8*i**2 - 12*i**4). -13*i**5 Expand (0*x**2 + 2*x**3 + 0*x**2)*(-2*x**2 - 1 + 1) + 7*x**5 + 2*x**5 + x**2 - x**5. 4*x**5 + x**2 Expand g**2 - g**2 - g**2 + (-3*g + 6*g - 2*g)*(2*g - g + 2*g) - 5*g**2 + 5*g**2 - 7*g**2. -5*g**2 Expand (-2*k + 2*k - k)*(1 + 11*k - 7*k - 10*k). 6*k**2 - k Expand 9*t + 10*t - 9*t + (-2*t - 2*t + 2*t)*(1 + 2 - 1). 6*t Expand (-2 + 2 - l)*(2*l - 3*l + 3*l) + 4*l**2 - l**2 - 2*l**2. -l**2 Expand 4*p**5 + 3*p**5 - p**5 + (6*p**4 + 0*p**4 - 4*p**4)*(0*p - 2*p + 5*p) - 2*p**5 + 2 - 2. 10*p**5 Expand (11*w - 8*w + 5*w)*(3 - 3 + 1). 8*w Expand 0*a**2 + 3*a**5 + 0*a**2 + (-3 + 2*a**4 + 3)*(0*a + a + 0*a) + 3*a**5 - 4*a**5 + 2*a**5. 6*a**5 Expand 6*h**2 + 3 - 3 + (-3 + 4 - 2)*(-3 + 2*h**2 + 3). 4*h**2 Expand (-2*j**3 - 3*j**3 + 2*j**3)*(1 + j - 3*j - 4). 6*j**4 + 9*j**3 Expand -4*a**3 + 5*a**3 - 2 + 0*a**3 + a**2 - 3*a**3 - a**2 + (5*a**3 - 3*a**3 - 3*a**3)*(0 + 1 + 0) - 3*a + 3*a - a**3. -4*a**3 - 2 Expand (5 - 1 - 3)*(h + 0 + 0)*(11*h - 29 + 29). 11*h**2 Expand (-3 - 2 + 3)*(-d + 3*d - 3*d) - 6*d + 5*d + 0*d - 36*d + 14*d + 11*d. -10*d Expand (6*m**2 + m**2 + 0*m**2)*(-10 + 10 + 4*m**2). 28*m**4 Expand (-4*d**2 - d**2 + 7*d**2)*(-2*d**3 + 4*d**3 - 3*d**3) - 8*d**5 + 3*d**5 + 3*d**5 - 2 + 2 + 4*d**5 + (2*d**5 + d**4 - d**4)*(2 + 2 - 5). -2*d**5 Expand (-3*i**2 + i**2 + 4*i**2)*(2*i**2 + 0*i**2 - 4*i**2 + (0 - 1 + 3)*(-2*i**2 + 2*i**2 - i**2) + 0*i**2 + 3*i**2 + 0*i**2). -2*i**4 Expand (4 - 2 + 0)*(5*g**2 - 4*g**2 + 2 - 3 + 2*g) + (-g + g + g)*(2*g - g + 0*g) + 4*g**2 + 2*g**2 - 5*g**2. 4*g**2 + 4*g - 2 Expand 1 - p - 1 + (2*p + 4*p + 0*p)*(4 - 6 + 4). 11*p Expand (1 + x**4 - 1)*(-161 + 10 + 24 - 73). -200*x**4 Expand (0 + 4 - 5)*(-y + y - 2*y**4) - 3*y**3 + y**4 + 3*y**3 - y**4 + 3*y**4 - y**4 + 6*y**2 - 68*y**4 + 66*y**4 + 2*y - 4*y. 2*y**4 + 6*y**2 - 2*y Expand s**3 - s**3 + 2*s**3 + (s - 5*s + 3*s)*(-1 + 1 - s**2) + 15*s**3 - 6*s**3 + 12*s**3. 24*s**3 Expand (-4 + 0 + 2)*(y**3 + 0*y**3 - 2*y**3) - y**3 + 2*y - 3*y + 2*y. y**3 + y Expand -4*t**5 + t**5 + 4*t**5 + 2*t**3 + t**5 - 2*t**3 + (-2*t + 5*t - 2*t)*(t - t - 2*t**4) + 0*t**5 + 0*t**5 - 2*t**5. -2*t**5 Expand 5*p**4 - 5*p**4 + 4*p**4 + 2*p**4 + 2*p**4 - 3*p**4 + (17*p**2 - 5*p**4 - 17*p**2)*(0 + 5 - 4) + 3*p**4 - 4*p**4 + 3*p**4. 2*p**4 Expand (3*j**2 - j**3 - 2*j**2 + j**2)*(3 - 5 - 4). 6*j**3 - 12*j**2 Expand 3 - j**5 - 3 + (0*j + 2*j - 3*j)*(-j**3 + j**3 + j**4) + 129*j**4 + 6*j**5 - 129*j**4. 4*j**5 Expand (3 + 0 + 6)*(4*w**4 - 3*w**4 - 3*w**4). -18*w**4 Expand (-3*k - 2 + 2)*(-5 - 2 + 3) + (3 + 1 - 2)*(2 - 2 + 6)*(2*k - k + k). 36*k Expand -2*b + 27*b - 3*b + (-1 + 4 - 4)*(-b - 3 + 3). 23*b Expand (2*v + 6*v - 15*v)*(-4*v - 2*v + 4*v + (-v + 0*v + 0*v)*(4 - 4 + 2) + 2*v - 4*v + v + 3 - 3 - 2*v + 4*v - 2*v - v - 2*v - v + 5*v). 28*v**2 Expand (0*r - 5*r + 2*r)*(-2*r**3 + 0*r**3 - r**3) - 6 - 2*r**4 + 6. 7*r**4 Expand (-12 + 2 - 28)*(2*g - 4*g + 3*g). -38*g Expand 0*z**4 - z**4 + 4*z**4 + (3 - 2*z**2 - 3)*(-2 + 2 + 4*z**2). -5*z**4 Expand 18*t**3 - 70 + 70 + (0 + 0 + 2)*(t**3 + 2*t**3 - 4*t**3). 16*t**3 Expand (-6 + 3*s + 0 - 2*s)*(5 + 3 - 4)*(4 - 7 + 1). -8*s + 48 Expand -5*s**2 + s**2 + 3*s**2 + (s + 2*s - 4*s)*(-s + 0 + 0) + 0 + 0 - 3*s**2 + 2*s**2 + 4*s**2 - s**2. 2*s**2 Expand q**4 + 0*q**4 - 12*q**4 + (2*q + 3 - 3)*(-3 + q**3 + 3). -9*q**4 Expand (-39*i**2
{ "pile_set_name": "DM Mathematics" }
**3 + 1637*h**2. -7*h**3 Collect the terms in 5*w - 9 - 4 - 11*w**3 + 13. -11*w**3 + 5*w Collect the terms in -12956*r - 12966*r + 25920*r. -2*r Collect the terms in -27*u + 0 + 0 + 15*u. -12*u Collect the terms in -5*r + 5*r + 4*r**3. 4*r**3 Collect the terms in -4*k**3 + 32*k**2 - 35*k**2 + 3*k**2 - 10*k**3. -14*k**3 Collect the terms in -2089*p + p**2 + 2089*p. p**2 Collect the terms in 44 - 44 + 57*k**2. 57*k**2 Collect the terms in 4*l**2 - 26*l**2 + 4*l**2 - 21*l**2. -39*l**2 Collect the terms in 154*j + 161*j - 313*j. 2*j Collect the terms in -54 + 18 + 19 - 53*d + 17. -53*d Collect the terms in 23*o**2 + 212*o**3 - 210*o**3 - 23*o**2. 2*o**3 Collect the terms in 3*q + 15 - 17*q - 15. -14*q Collect the terms in 742*o**2 + 0*o**3 + 2*o**3 + 4*o**3 - 4*o**3. 2*o**3 + 742*o**2 Collect the terms in -z**2 + 852*z - 852*z. -z**2 Collect the terms in -4*z**3 - 21 + 21. -4*z**3 Collect the terms in -746 - 18*x**2 + 746. -18*x**2 Collect the terms in 49*m**3 + 3823*m**2 - 3823*m**2. 49*m**3 Collect the terms in 3299*y + y**3 + 1 - 1 - 3299*y. y**3 Collect the terms in 4*g - 4*g - 242*g**2. -242*g**2 Collect the terms in -5 - 2 + 7 + 285*z - 278*z. 7*z Collect the terms in -1568 - 3*r + 1568. -3*r Collect the terms in -1 - b - 12 + b + b. b - 13 Collect the terms in 0*q**2 - q + q**2 + q**2 + 13*q. 2*q**2 + 12*q Collect the terms in 106*t - 54*t + 1 + 99*t. 151*t + 1 Collect the terms in 21*u**2 - 4*u**2 + 3*u**2. 20*u**2 Collect the terms in 13*g**3 + 3*g**3 - 22*g**3. -6*g**3 Collect the terms in 4*t**2 - 4*t**2 + 3*t**2 - 6*t**2. -3*t**2 Collect the terms in -74*h**2 + 20*h**2 + 18*h**2 + 21*h**2 + 20*h**2. 5*h**2 Collect the terms in 15*y - 62*y - 51*y. -98*y Collect the terms in 0 + 0 + 134*z**2 - 125*z**2. 9*z**2 Collect the terms in 156*a + 161*a + 2 - 128*a. 189*a + 2 Collect the terms in 304*l - 628*l + 292*l. -32*l Collect the terms in -188*i + 63*i + 55*i + 62*i. -8*i Collect the terms in -4*o - 5147 + 5147. -4*o Collect the terms in 5*b - 4*b + 0*b - 4*b. -3*b Collect the terms in 1861*o**2 - 928*o**2 - 932*o**2. o**2 Collect the terms in 7 + 53*l**2 - 6*l**2 - 7. 47*l**2 Collect the terms in -71*d**2 + 77*d - 77*d. -71*d**2 Collect the terms in -2*r**3 - 6*r**2 + 2*r**2 + 4*r**2 - 13*r**3. -15*r**3 Collect the terms in 4*s**2 - 9*s**2 + s**2 - 8*s**2. -12*s**2 Collect the terms in 1 - 1 + 1 - 13*u. -13*u + 1 Collect the terms in 6*a - 11*a - 4*a + 5*a. -4*a Collect the terms in -44*v**2 - 53*v**2 + 85*v**2. -12*v**2 Collect the terms in 68*s**2 - 129*s**2 + 40*s**2. -21*s**2 Collect the terms in -3*k**3 - 6*k**2 + 20*k**2 - 7*k**2 - 7*k**2. -3*k**3 Collect the terms in 1701*y**2 + 1676*y**2 - 3357*y**2. 20*y**2 Collect the terms in 59*w - 3*w**2 + w**3 - w**2 + 4*w**2. w**3 + 59*w Collect the terms in 151*r**2 + 99*r**2 - 107*r**2. 143*r**2 Collect the terms in 6*y**2 + 5*y**2 - 5*y**2. 6*y**2 Collect the terms in -139993*v - 3*v**3 + 139993*v. -3*v**3 Collect the terms in 216*i**3 - 652*i**3 + 212*i**3 + 225*i**3. i**3 Collect the terms in -7*w**2 + 7*w**2 + 4*w**2. 4*w**2 Collect the terms in -7*d**3 + d**3 + d**3 + 2*d**3. -3*d**3 Collect the terms in 211*f**3 - 104*f**3 - 103*f**3. 4*f**3 Collect the terms in -12*r - 3*r**2 - 10*r + r**2. -2*r**2 - 22*r Collect the terms in -31596*b**3 - 31595*b**3 + 94784*b**3 - 31591*b**3. 2*b**3 Collect the terms in -9*j**3 + 4*j**3 - 2*j**3. -7*j**3 Collect the terms in -113*x**3 - 18*x**3 - 29*x**3. -160*x**3 Collect the terms in 84 - 232 + 78 + 70 + 3*v. 3*v Collect the terms in w + 9*w**2 - 7*w - 4*w. 9*w**2 - 10*w Collect the terms in 2*b - 6*b - 3*b. -7*b Collect the terms in 4 + 8*v - 9*v + v + 5*v. 5*v + 4 Collect the terms in 412 - 211 + 16*h - 201. 16*h Collect the terms in 25*u**2 - 44*u**2 + 4*u**2. -15*u**2 Collect the terms in 67*p - 31*p + 14*p**2 - 36*p. 14*p**2 Collect the terms in 4*k**3 - 2 + 2 + 5*k**3. 9*k**3 Collect the terms in 26986*i - 13491*i - 13497*i. -2*i Collect the terms in 15*w + 85737 - 85737. 15*w Collect the terms in -6*k**3 - 8*k**3 + 16*k**3 - 2*k**3 - 2*k**3. -2*k**3 Collect the terms in 0 - 20*w - 4 + 49*w. 29*w - 4 Collect the terms in 184561*w**2 - 184561*w**2 - 18*w**3. -18*w**3 Collect the terms in -6*a**2 + 26 - 26 - 7*a**2. -13*a**2 Collect the terms in 6*o**2 + 63*o**2 - 36*o**2 + 10*o**2. 43*o**2 Collect the terms in -13*h**2 + 44*h**2 - 13*h**2 - 19*h**2. -h**2 Collect the terms in 13*v**2 + v**2 - 9*v**2. 5*v**2 Collect the terms in 24*d**3 + 41*d**3 - 3*d**3. 62*d**3 Collect the terms in -c**2 + 0*c**2 - 2*c**2 - 6*c**2 + 6*c**2. -3*c**2 Collect the terms in -22*c**2 + 0*c**2 - 11*c**2. -33*c**2 Collect the terms in -87*t + 171*t - 83*t. t Collect the terms in -116 + 42 - 8*t + 74. -8*t Collect the terms in 2 - 2 + 1 - 985*a. -985*a + 1 Collect the terms in 0*d - 5*d + 17*d - 8*d. 4*d Collect the terms in -3 + 84*d**2 + 3 - 49*d**2 - 39*d**2. -4*d**2 Collect the terms in p**2 + 16790*p + 10*p**2 - p**2 - 16790*p. 10*p**2 Collect the terms in -3 - 126*k**2 + 125*k**2 + 3. -k**2 Collect the terms in -6*u**2 - 4*u**2 + 15*u**2 - 8*u**2. -3*u**2 Collect the terms in 3*s + s**2 - 2*s - 7*s. s**2 - 6*s Collect the terms in 32 - 32 + 3*n**3. 3*n**3 Collect the terms in 18*b**2 - 21*b + 21*b. 18*b**2 Collect the terms in 1070*o - 536*o - 543*o. -9*o Collect the terms in -50*u**2 + 26*u**2 + 26*u**2. 2*u**2 Collect the terms in 104*w**2 - 113*w**2 - 5 + 5. -9*w**2 Collect the terms in 257936 - 257936 + 15*g**2. 15*g**2 Collect the terms in -b + 23*b**2 - 63*b**2 + b. -40*b**2 Collect the terms in -318*s - 29*s + 3 - 1. -347*s + 2 Collect the terms in -14*w - 15 + 33 - 18. -14*w Collect the terms in 14*p**3 + 6*p**3 + 7*p**3 + 0*p**3. 27*p**3 Collect the terms in 1 - 183*s**3 + 109*s - 109*s. -183*s**3 + 1 Collect the terms in -3*u - 149 + 149. -3*u Collect the terms in -3*x**3 + 8*x**3 + 0*x**2 + 0*x**2. 5*x**3 Collect the terms in z - 24810 + 24810. z Collect the terms in -1871*h + 1871*h - 6*h**3. -6*h**3 Collect the terms in -12 - 24 + 3*h + 3. 3*h - 33 Collect the terms in 4*l**2 + 2*l - 11*l + 9*l. 4*l**2 Collect the terms in 62 - 62 - 16*s**3. -16*s**3 Collect the terms in 2*x**2 - 13*x**2 + 8*x**2 + x**2. -2*x**2 Collect the terms in 28*p + 45*p - 6*p. 67*p Collect the terms in -29*b**2 + 69*b**2 - 22*b**2. 18*b**2 Collect the terms in -19*s**3 - 3*s**3 - 8*s**3. -30*s**3 Collect the terms in 0 + 0 + 7*x - 2 + 0. 7*x - 2 Collect the terms in -6*l + 8*l + 0*l - 14*l + 11*l. -l Collect the terms in 5 - 5 - 118*v. -118*v Collect the terms in 6819 - 6819 - 6*c. -6*c Collect the terms in -78863 - 4*v**3 + 78863. -4*v**3 Collect the terms in 151 + 7*c - 151 + 65*c. 72*c Collect the terms in 2497*c**3 - 4966*c**3 + 2492*c**3. 23*c**3 Collect the terms in 3 + 1 - 4 - 526*t**3. -526*t**3 Collect the terms in -94*p - 342*p - 80*p + 116*p. -400*p Collect the terms in -7434279*p + 3 + 7434282*p - 3. 3*p Collect the terms in 4 + 1768*h**3 - 1773*h**3 - 4. -5*h**3 Collect the terms in -6*l**2 + 10*l**2 - 4*l**2 - 4*l**2. -4*l**2 Collect the terms in 44*v**3 + 300*v**3 + 50*v**3. 394*v**3 Collect the terms in 9 + 20 - 7*y + 10 - 39. -7*y Collect the terms in 79 + 87 + d**2 - 166. d**2 Collect the terms in 8 - 3 - y**2 - 2*y**2 - 7. -3*y**2 - 2 Collect the terms in -2*i**2 - 7 + 3*i**2 + 4. i**2 - 3 Collect the terms in 3*l**2 + 7*l**2 - 7*l**2 + 4 - 2. 3*l**2 + 2 Collect the terms in -4*g - 5*g + 0*g. -9*g Collect the terms in -64*x - 65*x + 132*x. 3*x Collect the terms in 445*c**3 + 2 - 9 - 447*c**3 + 7. -2*c**3 Collect the terms in 15 + 7 + 6*u**3 + 9 - 31. 6*u**3 Collect the terms in 15 + 20*p + 11*p**2 - 15 + p**2. 12*p**2 + 20*p Collect the terms in 4*k**3 + 2*k**3 + k**3. 7*k**3 Collect the terms in -14*z + 6*z + 6*z. -2*z Collect the terms in -55*w - 4 + 4 + 28*w + 23*w. -4*w Collect the terms in -30 + 14*f**2 + 53 - 23 - 29*f**2. -15*f**2 Collect the terms in 15 - 3*u**3 - 15 + 0. -3*u**3 Collect the terms in 1 - 1 + 4975*g**2 - 5001*g**2. -26*g**2 Collect the terms in r + 17*r**3 + 10*r - 11*r. 17*r**3 Collect the terms in 56*t**2 + 8*t**3 - 111*t**2 + 55*t**2. 8*t**3 Collect the terms in 51*i - 18*i - 26*i. 7*i Collect the terms in -54*v**2 - 52*v**2 + 107*v**2. v**2 Collect the terms in 325*z**2 + 247*z**2 - 142*z**2. 430*z**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
48 + 47. Which is smaller: c or 2/5? c Suppose -f + 4*j + 11 = 0, 3*f = 5*j + 10 + 2. Let n = 84.2 - 92. Let a = n + 8. Is f < a? True Suppose 6*m - 4*m = -f + 7, 4*m = 4. Is f > -15? True Let b(z) = -z**3 - z**2 + 3*z + 2. Let l be b(-4). Suppose -3*m = -17 + l. Which is smaller: m or -4? m Suppose y - 2 - 3 = 0. Suppose y*n - 39 = -s, s + 4 + 29 = 4*n. Let m be 1/(-4) + n + -8. Which is smaller: m or 1? m Suppose 3*j - 5*j = -714. Let q be j/39 - 6/39. Which is smaller: 8 or q? 8 Let k = 20 - 19. Suppose -c + k = v + 2, c + 5*v + 5 = 0. Which is smaller: c or 1/6? c Let a = 0 + 7. Let n(s) = s**3 - 8*s**2 + 9*s - 10. Let f be n(a). Are f and 4 equal? True Let a = -624/5 - -124. Do a and 3 have different values? True Suppose 4*c - 20 = 2*c. Suppose 3*a - 3*p = -2*a + 1, -4*a - 3*p = c. Are a and -1 nonequal? False Let r be 8 + -10 + (5 - 1). Is r at least -2/15? True Let o = -9 - -15. Let w = o + -7. Suppose 0*i - 14 = 2*i + 4*s, -4*i - 4 = -4*s. Is i at most w? True Let i be (-1)/(-7)*-4 + 1. Let h be (12*(-4)/(-6))/2. Let w = h + -5. Is w smaller than i? True Let q(a) = a**3 - 3*a**2 + 2. Let c be q(3). Suppose 5*y + 40 = -5*v, 2 = -2*y - 2*y + c*v. Let k(z) = -z**2 - 3*z + 1. Let m be k(y). Is m less than -2/9? False Let o be (-2 - 3)*4/(-10). Let x be (1 - 1/o)*-2. Let v be ((-8)/20)/(13/5). Which is smaller: x or v? x Let q = 7/5 + -8/5. Suppose 0 = 2*b - 2 - 0. Suppose -w - b = s + s, -9 = -5*w + 4*s. Which is smaller: w or q? q Let f be 1*(4/1 + -4). Let v be (5 + -6)*(-2)/6. Which is greater: f or v? v Let g(x) = x**2 + 2*x + 3. Let n be g(3). Let f = 18 - n. Let i = 0 - 0. Do i and f have different values? False Let s = 15/32 + -617/224. Let r = s + 12/7. Let l = -77 + 75. Is r bigger than l? True Let m = -0.6 - -3.6. Let v = 4/79 + 1196/1343. Let t = v - 146/119. Is t >= m? False Suppose 0 = c - 3*c. Is c at most as big as 6/17? True Let s be (-6)/(-4)*(-2)/(-3). Is -2/11 smaller than s? True Let l = 2.2 + -0.2. Which is bigger: l or 7? 7 Let u = -592 - -591.98. Let x = 0.9 - -0.1. Is x at most u? False Suppose 0 = o - 5*o, -2*o = 2*m - 22. Suppose 5*j - 4*f - 55 = -3*f, -3*j + 55 = -5*f. Is m equal to j? False Let v(p) = -p**2 + p + 7. Let w be v(5). Is -12 less than or equal to w? False Let r = -5 - -4. Let t = 107 - 120. Which is greater: t or r? r Let n(r) = 3*r - 4*r - 2 - 5 + 2*r. Let l be n(10). Let b = 10 - 6. Which is smaller: l or b? l Let s = -20 + 7. Let b = -9 - s. Suppose -4*n = -4*a - 36, a = -4*n - 3*a - b. Which is bigger: n or 5? 5 Let q = -4 + 2. Let n be ((-2)/q - 0) + -1. Suppose 2*l - l = n. Which is smaller: l or -2/3? -2/3 Let u = -0.9 + 0.8. Let c = 0 + u. Let q = 66 - 461/7. Is c > q? False Let q = 10 - 9. Which is bigger: -2/7 or q? q Let n be 6/10 - (-38)/(-5). Is n > -7? False Suppose d - 2 - 1 = 0. Let n(p) = 2*p**2 - p. Let h be n(1). Is d not equal to h? True Suppose -6*n - 4*l = -n, 0 = 4*n - 5*l. Let g = n - -1. Let c be g/(-6) - 1/2. Is c less than or equal to -1? False Let a be -1 + 2 - 6/10. Suppose 0 = -5*l - 5*t + 10, 2*l - 1 = -2*t + 3*t. Is a smaller than l? True Suppose 2*t - 11 = 1. Suppose -4*w - 4*y + 4 = 0, -2 = -2*w + t*y - 2*y. Let f(l) = -l**3 - 6*l**2 - 4*l + 5. Let v be f(-5). Which is greater: w or v? w Suppose 0 = -2*f - 8 - 0. Let q be 3/6 - f/(-8). Which is smaller: 1/2 or q? q Let n(m) be the second derivative of m**4/12 + 5*m**3/3 + 11*m**2/2 - 2*m. Let z be n(-8). Which is greater: -6 or z? z Let v = -3.08 - -0.08. Which is bigger: v or 0.1? 0.1 Let w(q) = q - 6. Let o be w(9). Which is greater: o or 6? 6 Suppose 0 = -w - 3 - 0, 4*p - 7 = w. Let c be 0 + (6 - (2 + p)). Let q be ((-5)/c)/((-2)/(-6)). Is q greater than -6? True Let d = 0 - 0. Let q = 11 - 19. Which is smaller: q or d? q Let n(t) = -t**3 + 6*t**2 - 5*t + 6. Let p be n(4). Which is smaller: p or -1? -1 Suppose 0 = -y + 2, -2*y + 6 + 1 = h. Let n be (-1)/(h/(-7 - 2)). Let u = -21/4 + 5. Are u and n unequal? True Let d be 2 + (0 - 2) + 0. Is d greater than or equal to 2/3? False Let z be (-10)/25*(-14 - 1). Suppose z*s - 5*m - 10 = s, -2*m = -3*s + 1. Is s greater than or equal to -2? False Suppose 0*m = 4*m - 20. Is 5 at most as big as m? True Let x = 2 + 4. Let m = -4 + x. Suppose m*o - 3*j - 3 = -0*j, -4*o - 3*j - 21 = 0. Is 1/3 equal to o? False Let d be (48/18)/((-4)/(-18)). Let q be 3/(-2)*8/d. Which is greater: q or -3/4? -3/4 Let k(y) = -y**3 + y**2 + y + 1. Let v be k(2). Is -2 smaller than v? True Let r = 9 + -6. Suppose 0 = -r*k + 2*k + 5. Suppose k = a + 4. Which is smaller: a or -5? -5 Let l be (692/140 + -5)*-7. Which is smaller: l or 0.46? l Suppose -8*f + 0 = 24. Is -3 less than f? False Suppose -5*c + 2 = -3. Let z be (5 + -2)*1/c. Let s = -217 - -219. Is s greater than or equal to z? False Let a = -12.44 - -12.3. Is 1/3 < a? False Let s = 4 - -6. Let z = -9 + s. Is 2/25 < z? True Suppose -5*z + 15 + 55 = 0. Suppose -g - 2*m + 15 = 0, z - 48 = -2*g - 5*m. Let d = -6 + g. Which is greater: d or 3? 3 Let m(k) = -2*k + 3. Let s be m(-3). Suppose -5*d - 2*p = s, -5*d - 3*p = -4*d + 7. Is -2/5 != d? True Let o = 21 + -21. Is o bigger than -0.3? True Suppose 3*h - j = 2*j, -2*h + 3*j = 2. Let l be 4*(-3)/(-6) - h. Is l greater than or equal to -2/5? True Let c be ((-11)/(-4))/(4/16). Let x(f) = 4*f + c - 2*f - f. Let g be x(-9). Which is smaller: g or 4? g Let n(g) = -2*g + 4. Let j be n(11). Let l be ((-2)/j)/(1/6). Is 0 > l? False Let t = 22 + -8. Is 15 bigger than t? True Let l = -11 - -5. Let t(z) be the first derivative of z**3/3 + 5*z**2/2 - 3*z + 1. Let c be t(l). Which is smaller: 0 or c? 0 Suppose -2*u - 4 = 3*i - 1, 0 = -u + 5*i + 5. Which is bigger: u or -2? u Let u = 8 - 8.015. Let m = -0.975 - u. Let v = 0.04 - m. Which is smaller: 0.3 or v? 0.3 Let s(j) = -j**3 + 15*j**2 - 15*j + 15. Let q be s(14). Let h = 2 - 1. Let c = h - 0. Is c at most q? True Let h = 17 - 17. Which is smaller: h or 0.9? h Suppose 6 + 4 = 5*d. Let b = -2 + d. Which is greater: -2/9 or b? b Let v be (8/(-10))/((-9)/(-45)). Is -2 greater than or equal to v? True Let p(b) be the first derivative of -b**3/3 + 5*b**2/2 - 2*b + 9. Let o be p(4). Which is smaller: 5/6 or o? 5/6 Let h(q) = 2*q. Let d = 1 + -2. Let x be h(d). Suppose 4*u - 16 = 3*j, 3*j + u - 2*u = -13. Is j bigger than x? False Let v = 3 + -4. Let y be 6 + (0 + v - 1). Which is smaller: 2 or y? 2 Suppose -5*c + 4*q = -c - 24, -3*c + 5*q = -24. Is 3 > c? False Let l(d) = d**2 + 17*d + 14. Let a be l(-13). Is a at least as big as -39? True Let j = -0.08 + 0.02. Which is smaller: 0.2 or j? j Let r = 185 - 183. Is 16/21 < r? True Let j be 40/7 + 2/7. Suppose j*s - 3*s = -3. Let y = -5/11 - -14/55. Is y smaller than s? False Let u(q) = -4*q - 9. Let g(s) = -7*s - 17. Let w(o) = -3*g(o) + 5*u(o). Let x be w(-3). Suppose 14 = 4*v + x*n, n + 2 = -5*v + 14. Is v > 0? True Let f(l) = l**2 - 8*l + 9. Let g be f(7). Suppose 2 = -w + 5*b, -g*b + 0 - 2 = w. Is w <= -2? True Let c be (-66)/54 + (-1)/(-9). Which is bigger: c or 0? 0 Suppose -2*v - 7 + 5 = 0. Let i(a) = a**2 - 1. Let o be i(v). Let w be (-6 - -5) + (o - 1). Is -2 equal to w? True Suppose -8 = 5*k - 3*q + 3, 5*q = 4*k + 14. Let a be 22/6 + k/(-3). Suppose a*p = 2*o - 6, -2*o + 6 = 6*p - 3*p. Is p < -0.07? False Let c be ((-5)/4)/5*(-24)/(-16). Which is greater: 0 or c? 0 Let p be (-9)/(-60) + 3/12. Which is smaller: 7 or p? p Let t = -0.191 + -0.009. Are 8 and t nonequal? True Let c be ((-5)/(-2))/(1/2). Suppose -y - 4*d - 32 = -4*y, 2*y + 17 = -c*d. Which is smaller: y or 0.1? 0.1 Let f = -42 + 41.6. Which is bigger: 1 or f? 1 Suppose 0 = v + 5 + 25. Is 2/7 less than v? False Suppose i + 0 + 2 = 0. Let n be (-3 - (-8)/2)*(-1 + -1). Is i less than or equal to n? True Suppose 0*m - 12 = -2*m. Let s = -5 + m. Let i = 3 - 2.8. Is i less than s? True Let o be 6/(-53) - (-2)/1. Let r = 3893/212 + o. Let t = 20 - r. Are -2 and t nonequal? True Let p(a) = 2*a**2 - a + 1. Let x be p(-2). Suppose 4*c + x = 5*y + 32, 4*y + 22 = -2*c. Is c greater than or equal to -1? True Let i = 83 + -78. Let v be ((-2)/(-8))/((-2)/(-36)). Does i = v? False Let v be 6 - 0 - 0/2. Let w be 687/12 - v/(-8). Let n be w/138 - (-1)/(-3). Is n at most -1? False Let s be 0*((-15)/5)/3. Which is smaller: s or 2/37? s Let u be (-1 - (-5)/3)
{ "pile_set_name": "DM Mathematics" }
d k to the nearest one thousand. -12000 Let g = 2.83 - 2.9012. What is g rounded to 2 decimal places? -0.07 Suppose 0*q = 5*q + 50000. Let d be q/(-1)*(42 + 1). Suppose 2*m + d = 3*m. Round m to the nearest one hundred thousand. 400000 Let a = -235 - -234.9999644. Round a to six decimal places. -0.000036 Suppose 0 = 10*x - 14*x. Suppose x = s - r - 4, 4*r = 2*s - 0*r - 8. Let c be 12999999/(-2) - s/8. What is c rounded to the nearest one million? -7000000 Let z be 40/3*(-586291536)/(-60). Suppose 8*h - 34287008 + z = 0. What is h rounded to the nearest 1000000? -12000000 Let n = 54.6163 + -54.9. Round n to two dps. -0.28 Let n = -61.61 - -0.61. Let k = 87 + n. Let v = k + -25.999908. What is v rounded to 5 decimal places? 0.00009 Let z = 2.6 - -82.4. Let r = 88.7 - 22.9. Let s = z - r. What is s rounded to 0 decimal places? 19 Let z = 1987 - 1988.121. Round z to two decimal places. -1.12 Let f = -12.6 - -12. Let d = 0.6000025 + f. Round d to seven decimal places. 0.0000025 Let k = 997.0008392 - 997. What is k rounded to five decimal places? 0.00084 Let v = 14.47 + 3.08. Round v to zero dps. 18 Let g(v) = 2991*v**2 + 5*v + 4. Let b be g(-1). Suppose 4*k - 14*k + b = 0. Round k to the nearest one hundred. 300 Let g(x) = 28471*x**2 + 1 + 5529*x**2 - x + 0*x. Let q be ((-3)/(-3) - 0)/1. Let m be g(q). What is m rounded to the nearest 10000? 30000 Let o(w) = 13*w**3 - 14*w**2 - 8*w - 4. Let d(z) = z**3 + z**2 + 1. Let u(l) = 3*d(l) + o(l). Let a be u(9). What is a rounded to the nearest one thousand? 11000 Let q = 27 - 26.751. Let m = -0.16 + q. Let f = m - -0.341. What is f rounded to 1 dp? 0.4 Let v = 27 + -32. Let h(c) = -c - 5. Let d be h(v). Suppose d = -3*r + 20050 - 550. What is r rounded to the nearest 1000? 7000 Let q = -1394.8 + 1300. Round q to zero decimal places. -95 Let q = 2217.1 - 2312. Let o = 135.2 + q. What is o rounded to the nearest integer? 40 Let v = -13 + 10. Let p = -5 - v. Let f = 1.99999974 + p. What is f rounded to seven dps? -0.0000003 Let j = 1.8634 - 1.91. Round j to two dps. -0.05 Let r = 0.0559 - 0.05589497. Round r to 6 decimal places. 0.000005 Let x = 1143069 + -1143015.000062. Let d = x - 54. Round d to 5 decimal places. -0.00006 Let q = -13.358412 + -3749.138188. Let k = -3762 - q. Let v = k + -0.5. Round v to 3 decimal places. -0.003 Suppose -4*l = -13062834 - 134937178. Suppose o + 3*j + l = 6*o, -5*j = 5. What is o rounded to the nearest 1000000? 7000000 Let a = 8014 - 12977. Let i = -4962.82082 - a. Let f = i - 0.18. What is f rounded to 4 decimal places? -0.0008 Suppose 0 = 831*n - 836*n - 26265. Round n to the nearest one thousand. -5000 Let q = 6.22 - 8.5. Let a = -0.35 - -0.25. Let c = q - a. Round c to 1 decimal place. -2.2 Let z = 2598 - 2598.00154. What is z rounded to 4 dps? -0.0015 Let t = -17082.99407 - -17154.995. Let r = -72 + t. Round r to four decimal places. 0.0009 Let b = 0.195961 - 0.196. Round b to 6 dps. -0.000039 Let t = -496 - -496.00000002. What is t rounded to seven decimal places? 0 Let v(k) = 387641*k - 811139*k - 325509*k - 6 - 1. Let t be v(-1). What is t rounded to the nearest one hundred thousand? 700000 Let i = -0.21 + -0.2. Round i to two dps. -0.41 Let c be 4/14 - (-600)/105. Let s = -15 + 16. Let k be s*-973 - (c + -9). Round k to the nearest one hundred. -1000 Let z = -0.6000115 - -0.6. What is z rounded to six decimal places? -0.000012 Let n be (-132239)/2*(-10 - 234). Suppose 4*l = 42933158 - n. Round l to the nearest 1000000. 7000000 Suppose -2*f = 2574357 + 305643. What is f rounded to the nearest 100000? -1400000 Let x = -0.02854 - -0.0162. Round x to 3 dps. -0.012 Let z(m) = 3*m**2 + 4*m - 7. Let s = 7 - 12. Let l be z(s). Suppose q = -3*q - l. Round q to the nearest ten. -10 Let l = 353 + -495. Let m = l + 141.99937. What is m rounded to four dps? -0.0006 Let g(t) = 28005*t**2 + 22*t + 21. Let v be g(-3). What is v rounded to the nearest one hundred thousand? 300000 Let p = -3 - -3.33. Let g = -1.63 + p. Let h = g - -1.299928. Round h to 5 decimal places. -0.00007 Let n = -47189 - 111911. What is n rounded to the nearest ten thousand? -160000 Suppose 0 = 10*w - 15*w + 26200. Round w to the nearest 100. 5200 Let v = -30322 + 11122. What is v rounded to the nearest ten thousand? -20000 Let a = 3915.6 + -3915.583809. Let g = 0.016 - a. Round g to five decimal places. -0.00019 Let m(f) = 11*f**2 + 12*f + 426. Let w be m(-46). Round w to the nearest one thousand. 23000 Suppose 33*o - 12*o = -1349040000. Round o to the nearest one million. -64000000 Let u = 57.938 - 58. Let x = u - -0.05764. Round x to four dps. -0.0044 Let b(l) = 5*l**2 - 3*l + 9. Let j(c) = 11*c**2 - 5*c + 17. Let z(a) = 11*b(a) - 6*j(a). Let h be z(3). What is h rounded to the nearest 10? -110 Let y = 326 + -24. Let o = y - 301.99849. Round o to 4 dps. 0.0015 Let g(p) = -p**2 + 3*p + 3. Let y be g(3). Suppose 7962130 = y*l - 924911. Let s = 9362347 - l. Round s to the nearest one million. 6000000 Let c = -1167.9 + 1386. Round c to the nearest ten. 220 Let n = 628 - 627.99343. What is n rounded to 3 decimal places? 0.007 Let t(p) = 155*p**3 + 6*p**2 - 6*p + 8. Let o be t(4). Round o to the nearest 10000. 10000 Let s(o) = -1333325*o**2 + 11*o + 21. Let g(q) = -666663*q**2 + 5*q + 10. Let l(k) = 9*g(k) - 4*s(k). Let b be l(-3). What is b rounded to the nearest 1000000? -6000000 Suppose -288*t - 6014000 = -286*t. Round t to the nearest 1000000. -3000000 Let x = -3.02 + 3.02000912. What is x rounded to 7 dps? 0.0000091 Let q be -2*(-2)/6*3. Let g(m) = -416*m + 4. Let n be g(q). What is n rounded to the nearest one hundred? -800 Suppose -2*l + 9255 + 24965 = 0. Let t = -25307 + l. Let w be t + 6*2/(-4). Round w to the nearest one thousand. -8000 Let k = -59774828 + 59774824.3900219. Let w = k - -3.61. Round w to six decimal places. 0.000022 Let x = -655.37447285 - -40036.08439385. Let p = 39379 - x. Let f = -1.71 - p. What is f rounded to five decimal places? -0.00008 Let u = -0.45 + 15.85. Let n = 2.4 - u. Let c = n + 16.2. Round c to the nearest integer. 3 Let t = 0.243 - 0.243405. What is t rounded to 4 decimal places? -0.0004 Let w(t) = 2361*t**3 + 7*t**2 + 4*t - 4. Let v be w(-3). What is v rounded to the nearest ten thousand? -60000 Let t = -0.1 + 1.6. Let s = t - 1.478. Round s to two decimal places. 0.02 Let v = 4.17 - 3.9. Let i = 0.27031 - v. What is i rounded to four decimal places? 0.0003 Let n = 18961 - 12596. What is n rounded to the nearest one thousand? 6000 Suppose 4*y + 0*y - 460000 = -5*x, -2*y = 3*x - 276000. What is x rounded to the nearest one hundred thousand? 100000 Let a = -208.1 - -165. Round a to the nearest ten. -40 Let d = -4592 + 4592.002231. Round d to four dps. 0.0022 Let u = 33351890 - 47431890. What is u rounded to the nearest one million? -14000000 Let t = -488.53 - -494. What is t rounded to zero dps? 5 Let s = 6891 + -6891.000006754. Round s to 7 decimal places. -0.0000068 Let f = 2112.6 - 1949. Round f to zero dps. 164 Let b be 7 - 4 - (4 + -6). Suppose -17026933 = b*v + 19973067. What is v rounded to the nearest 1000000? -7000000 Let m(g) = 2042*g**2 - 3*g - 1. Let y be m(3). Suppose 4*x + y - 45568 = 0. What is x rounded to the nearest 1000? 7000 Let o = 97244.773 + -97183. Let q = 61.4 - o. Round q to 1 dp. -0.4 Let s be (-32)/(-10) + (2 - 44/20). Suppose -3 = -s*j - 9, 4*y - 5*j = 3520010. What is y rounded to the nearest one hundred thousand? 900000 Let y = 1037.99997649 - 1038. Round y to six dps. -0.000024 Let x = -256 - -258.62. Let u = x + -0.22. Let b = u - 2.40000045. Round b to 7 decimal places. -0.0000005 Let x = 2398 + -35565. Let p = -33166.98999856 - x. Let c = p + -0.01. Round c to 7 decimal places. 0.0000014 Let x be 104/(-26)*194/(-4). Let a = x - 1021. Round a to the nearest 100. -800 Let n = 7656826 + -11752826. Round n to the nearest one million. -4000000 Let b(o) = 213*o**2 - 11*o - 42. Let g be b(-5). What is g rounded to the nearest 100? 5300 Let a = 2.1739996902 + -2.174. What is a rounded to seven decimal places? -0.0000003 Suppose -3*n + n = -6. Suppose -3*r = -3*p + 585414, 491333 = n*p + r - 94093. Let o = p - 52141. Round o to the nearest 10000. 140000 Let c be 46/(-7) - (-48)/84. Let t be 2 - (-3 - (c + 3)). Let z be 432*(-25001 + (3 -
{ "pile_set_name": "DM Mathematics" }
. 1 Divide -1278 by 6. -213 What is 19230 divided by -6? -3205 Calculate 10 divided by -126. -5/63 What is 82 divided by 2? 41 -3 divided by -89 3/89 27 divided by 172 27/172 -72 divided by -24 3 Calculate -54 divided by 5. -54/5 Divide -2 by 11. -2/11 Divide -155 by 155. -1 Divide -81 by -2. 81/2 What is 0 divided by 38? 0 Calculate 2080 divided by -80. -26 Calculate 150 divided by -75. -2 What is 1 divided by 3100? 1/3100 Divide 15 by 13. 15/13 Divide -3620 by -181. 20 -3206 divided by 14 -229 -331 divided by 1 -331 13 divided by 23 13/23 Divide 9480 by -3. -3160 Calculate -4 divided by -12. 1/3 -10890 divided by 5 -2178 Calculate -41 divided by 7. -41/7 6792 divided by 12 566 Divide -1 by 24. -1/24 Calculate -6400 divided by 2. -3200 1333 divided by 31 43 Divide 2 by 169. 2/169 -4511 divided by 1 -4511 Divide -140 by 140. -1 What is 2250 divided by 5? 450 157 divided by -2 -157/2 17 divided by 66 17/66 Calculate -148 divided by 74. -2 Calculate 2201 divided by 1. 2201 Divide 1 by -39. -1/39 Calculate 45 divided by -15. -3 What is -4 divided by -665? 4/665 What is -38 divided by 22? -19/11 Calculate 10 divided by 3. 10/3 -45 divided by -114 15/38 5 divided by 238 5/238 What is 30935 divided by 5? 6187 Calculate -18432 divided by 2304. -8 Calculate -1290 divided by 129. -10 -768 divided by -4 192 4014 divided by 2 2007 Divide -6 by -3530. 3/1765 -1782 divided by 81 -22 1 divided by 322 1/322 What is -49 divided by 7? -7 -20784 divided by 6928 -3 What is -154 divided by -11? 14 Divide -180 by -9. 20 Divide -307 by -3. 307/3 2 divided by -93 -2/93 Calculate 227 divided by 15. 227/15 Calculate 6 divided by -8. -3/4 605 divided by -5 -121 Divide -5 by 8. -5/8 What is -402 divided by 134? -3 -364 divided by 14 -26 -147 divided by -4 147/4 -1 divided by -164 1/164 27732 divided by 6933 4 5 divided by -910 -1/182 What is -1896 divided by 7? -1896/7 Calculate -538 divided by -3. 538/3 What is 1235 divided by -19? -65 Divide 3 by -6. -1/2 -282 divided by -6 47 Divide 3492 by -4. -873 1 divided by 181 1/181 Divide 29050 by 5. 5810 What is 9924 divided by 4? 2481 Calculate -12 divided by -64. 3/16 Divide 0 by 4093. 0 Calculate -4905 divided by 5. -981 Calculate 7 divided by 4. 7/4 122 divided by -17 -122/17 What is 4 divided by -18? -2/9 Calculate -22736 divided by -4. 5684 Calculate -7412 divided by -1. 7412 Divide -1144 by 88. -13 2 divided by 758 1/379 16 divided by 2 8 Calculate 46 divided by -7. -46/7 Divide 4 by 1. 4 -6 divided by 22 -3/11 Divide 28 by 9. 28/9 Divide 798 by 21. 38 -725 divided by -5 145 What is -187 divided by 10? -187/10 5 divided by 1 5 -1188 divided by -6 198 -2 divided by -331 2/331 What is 15085 divided by 3017? 5 Calculate 0 divided by -37. 0 Calculate 7 divided by -372. -7/372 Divide -1128 by 6. -188 -92 divided by -3 92/3 196 divided by 2 98 -2839 divided by -3 2839/3 Divide -350 by 7. -50 Calculate -78 divided by -1. 78 -40 divided by 2 -20 What is 30 divided by 4? 15/2 What is -8283 divided by 33? -251 Calculate -470 divided by 235. -2 Divide 30 by 5. 6 What is 0 divided by -80? 0 -28 divided by 2 -14 Divide 126 by 21. 6 Divide -147 by -12. 49/4 -5 divided by 714 -5/714 Divide -1444 by -76. 19 What is 8398 divided by -6? -4199/3 Calculate -3 divided by -185. 3/185 Divide 2016 by 4. 504 -5247 divided by -5 5247/5 -22 divided by 1 -22 Divide -1325 by 53. -25 What is 9068 divided by 2267? 4 Divide 421 by -26. -421/26 What is 859 divided by 4? 859/4 What is -6720 divided by 21? -320 What is -1938 divided by -6? 323 3618 divided by -4 -1809/2 -12940 divided by -4 3235 Calculate -9 divided by 3. -3 Divide 98 by -98. -1 Calculate -161 divided by -2. 161/2 Calculate -2694 divided by 2. -1347 Calculate 6 divided by -1783. -6/1783 What is -7799 divided by 11? -709 Divide 2 by -133. -2/133 -1 divided by -1231 1/1231 Calculate -9915 divided by -5. 1983 Divide -45 by -10. 9/2 Divide -10 by 5. -2 What is 5 divided by 38? 5/38 7 divided by -258 -7/258 -6241 divided by 1 -6241 Calculate 1092 divided by 13. 84 Calculate -67344 divided by 6. -11224 238 divided by -2 -119 What is -847 divided by 6? -847/6 What is 2 divided by 754? 1/377 What is 1799 divided by 4? 1799/4 What is 1644 divided by 12? 137 Divide -10324 by -4. 2581 0 divided by 38 0 Calculate 2071 divided by 19. 109 Divide 276 by -138. -2 307 divided by 307 1 -225 divided by -1 225 Divide 185 by 185. 1 What is 468 divided by 13? 36 What is 3519 divided by -9? -391 -12 divided by -70 6/35 What is -2010 divided by 6? -335 Calculate -143 divided by 143. -1 Divide 30 by 3. 10 What is -1137 divided by -379? 3 972 divided by -36 -27 Divide -2646 by 441. -6 4 divided by 596 1/149 Divide -723 by -21. 241/7 542 divided by 2 271 What is -17181 divided by 3? -5727 -274 divided by -10 137/5 What is -657 divided by -657? 1 Divide 10 by 1. 10 -336 divided by 84 -4 Calculate 1758 divided by -586. -3 Divide 938 by 14. 67 What is 17262 divided by -6? -2877 Calculate 802 divided by 401. 2 -865 divided by 15 -173/3 0 divided by -79 0 Divide -43840 by -2. 21920 Divide 159 by -6. -53/2 Calculate 3300 divided by 5. 660 Divide 758 by 379. 2 12 divided by 71 12/71 Calculate 1776 divided by -74. -24 What is 62 divided by 1? 62 Divide 1209 by 31. 39 6 divided by 14 3/7 Calculate -1939 divided by -277. 7 Calculate -2 divided by -80. 1/40 Divide -17 by -40. 17/40 8644 divided by 4 2161 What is 716 divided by -716? -1 What is -4 divided by -248? 1/62 What is 128 divided by -9? -128/9 Calculate -1 divided by -1. 1 Divide -4008 by 3. -1336 What is 225 divided by 75? 3 5 divided by -1559 -5/1559 Calculate 1742 divided by -2. -871 Calculate 1 divided by 417. 1/417 101 divided by 3 101/3 What is -71 divided by 3? -71/3 What is -5220 divided by 15? -348 Divide 106 by 18. 53/9 Divide 10 by -43. -10/43 Divide 326 by 4. 163/2 Divide 47 by 47. 1 Divide 19 by -2008. -19/2008 -30 divided by 6 -5 What is 14 divided by -24? -7/12 30 divided by 15 2 What is 4168 divided by 1042? 4 What is -1 divided by -420? 1/420 Calculate -8932 divided by -308. 29 1918 divided by -14 -137 -3488 divided by -4 872 -80 divided by 2 -40 Calculate -584 divided by -4. 146 What is 5 divided by 1? 5 What is 5148 divided by 11? 468 Calculate 0 divided by -1027. 0 Calculate -504 divided by 6. -84 650 divided by -130 -5 Calculate -177 divided by -177. 1 -5304 divided by 78 -68 611 divided by -6 -611/6 What is -4 divided by 68? -1/17 -1932 divided by 3 -644 Divide 2205 by -5. -441 What is -3918 divided by -6? 653 Divide 1 by -265. -1/265 Calculate -1809 divided by 603. -3 Divide -13770 by 2754. -5 436 divided by -436 -1 What is -8316 divided by 9? -924 Divide 961 by -4. -961/4 -1 divided by 1589 -1/1589 What is 0 divided by 14? 0 Calculate 0 divided by 54. 0 -17 divided by 69 -17/69 Calculate -2 divided by 3. -2/3 Divide -1340 by 335. -4 5 divided by 502 5/502 -25 divided by -25 1 Calculate -1620 divided by -324. 5 145 divided by 29 5 Calculate -1280 divided by -40. 32 Calculate -1680 divided by 1. -1680 What is -5 divided by 38? -5/38 Divide -1 by -27. 1/27 Divide -584 by 3. -584/3 609 divided by 7 87 1089 divided by -9 -121 Divide 264 by 12. 22 Divide -1134 by 6. -189 Divide -67 by 25. -67/25 Divide -3 by -123. 1/41 What is 883 divided by 2? 883/2 Calculate -6447 divided by 921. -7 Divide -12 by -564. 1/47 What is 5 divided by -67? -5/67 What is -1881 divided by 19? -99 -530 divided by 106 -5 -414 divided by 18 -23 What is 393 divided by -3? -131 3904 divided by 16 244 -164 divided by 2 -82 What is -1683 divided by 17? -99 Divide 16 by -2. -8 What is -1 divided by -289? 1/289 Calculate -1604 divided by -802. 2 130 divided by -6 -65/3 4 divided by 1573 4/1573 -28 divided by -14 2 Divide -20619 by -79. 261 Divide -852 by -142. 6 What is 156 divided by -52? -3 0 divided by 42 0 Divide 8263 by 4. 8263/4 Calculate -1 divided by -47. 1/47 -138 divided by 46 -3 870 divided by -6 -145 Calculate -108 divided by -1. 108 Divide -1389 by -1. 1389 Divide 78 by -3. -26 126 divided by -42 -3 84 divided by -42 -2 What is 2350 divided by 470? 5 Divide 518 by 7. 74 Divide 2940 by 14. 210 Calculate -354 divided by -118. 3 -15 divided by -2128 15/2128 Divide -8226 by -457. 18 Calculate -163 divided by 65. -163/65 Calculate 20 divided by 10. 2 -2 divided by -60
{ "pile_set_name": "DM Mathematics" }
mplify (sqrt(160)/(sqrt(8) + sqrt(32))*6*-5)/(((sqrt(10) - -2*sqrt(10)) + sqrt(10))*5 + (2*sqrt(1000) - sqrt(10))). -10*sqrt(2)/39 Simplify (-1*(2 + 2*((sqrt(153) - (1*sqrt(153) + sqrt(153))*-2 - -1*(sqrt(153) + sqrt(153) + -1)) + -3 + 4 + 1*sqrt(153)) + 4))**2. 576*sqrt(17) + 39204 Simplify -2*(-1 + 2*(4 + 3*(-4 + 0 + sqrt(2057) - sqrt(2057)))*4)**2. -8450 Simplify -2 + (3 + 1 + sqrt(175)*-2 + -4 - (-4*sqrt(175) + 5 + 2 + sqrt(175) + sqrt(175) + -2))**2. 23 Simplify (sqrt(396)/(sqrt(24)/sqrt(2)))/(sqrt(704) - (sqrt(704) + (sqrt(704)*-2 - sqrt(704)) + sqrt(704))) + (sqrt(588) + 0)**2*-5. -2940 + sqrt(3)/16 Simplify ((-3*(sqrt(108)/(sqrt(27)/sqrt(3)) - (sqrt(1452)*-1 + sqrt(1452))))/(1*(2*sqrt(6)*-2 - (sqrt(6) + sqrt(6)*-1*-4 - sqrt(6)))))**2. 9/32 Simplify (-5*(-4*((sqrt(152)*-1 - sqrt(152)) + sqrt(152) - sqrt(152)) + sqrt(152))*6)/(sqrt(8) + sqrt(24)/sqrt(3)*-6 - (sqrt(1152)*-2 + sqrt(1152))). -270*sqrt(19)/7 Simplify (((2*sqrt(5) + -2 + 2 - 3*sqrt(140)/sqrt(7)) + -5 + 4 + sqrt(2000)*-1)*4)**2. 768*sqrt(5) + 46096 Simplify (sqrt(576)*1 + 2*sqrt(144)/sqrt(4))/((sqrt(180)/sqrt(5))/sqrt(3) + sqrt(384)/sqrt(2)). 6*sqrt(3)/5 Simplify ((-1*sqrt(78)*-4 - (sqrt(78)*4 - sqrt(78) - sqrt(78))*6)/((sqrt(336)/(sqrt(35)/sqrt(5)) + sqrt(48))/(sqrt(8) + sqrt(128)*-1)))**2. 1872 Simplify (-3*((sqrt(4320)*-2 - sqrt(4320)) + (sqrt(270) - sqrt(270)*1))/(((-2*sqrt(490)*-2 - sqrt(490)) + sqrt(490))*3))**2. 243/49 Simplify (sqrt(4536)*-3*6)/(((sqrt(2352)*3 - sqrt(2352)) + sqrt(2352))/sqrt(6))*-6. 324*sqrt(7)/7 Simplify -1*(((2*sqrt(7920) - sqrt(7920)) + (sqrt(1980) - (sqrt(1980) - (-1*sqrt(1980) - sqrt(1980)))))/((sqrt(245) + (1*sqrt(245) - sqrt(245)))*-1))**2*1. 0 Simplify (sqrt(98) - ((sqrt(98) - (sqrt(98) + 0 + 3))**2 - sqrt(98)) - ((sqrt(98) - (sqrt(98) + 1)) + 4))*6 + 3*(0 + (-2*sqrt(98)*2 - sqrt(98))). -72 - 21*sqrt(2) Simplify (-1*((sqrt(120) - sqrt(120)*3) + sqrt(120) - sqrt(120)) + sqrt(120)*1*-5)/((-1*sqrt(120)/sqrt(2))/(sqrt(6) + sqrt(6) + sqrt(24)/sqrt(36))). 14*sqrt(3) Simplify (-2*(1*sqrt(1000) - sqrt(1000) - sqrt(1000)) + sqrt(1000))/(4*(sqrt(200) + sqrt(8)) + (sqrt(88) + -3*sqrt(88))/sqrt(11)). 15*sqrt(5)/22 Simplify -1*((sqrt(44) + sqrt(176) - (sqrt(891) + -1))**2 + (((sqrt(44) - sqrt(176)) + sqrt(44) + sqrt(44))/sqrt(4) - (sqrt(88)/sqrt(2))/sqrt(4))). -100 + 6*sqrt(11) Simplify (0 + (-2 + sqrt(363) + 1)**2 + (-6*(sqrt(363) + (sqrt(363) + 0)**2) - (sqrt(363) + 1 + sqrt(363) + -1)))*5. -9070 - 550*sqrt(3) Simplify (-4*(5 + -3 + (5 + sqrt(147)*-2 - sqrt(147)) + 2)*2)**2 + 4. -24192*sqrt(3) + 89860 Simplify (-4 + (3 + sqrt(1088) + 1 + sqrt(1088))**2)*1 - (1 + ((sqrt(1088) - (1 + sqrt(1088)))*-6 + sqrt(1088))**2*5). -352*sqrt(17) - 1257 Simplify (-4*(-2 + sqrt(98) + sqrt(98))*2 - (0 + sqrt(98) + 5 + (-1 + sqrt(98) + sqrt(98))*-2))**2 + -4. -1638*sqrt(2) + 16639 Simplify (2*sqrt(5200)*-4 + -5 + sqrt(5200)*1 + ((-2 + sqrt(5200) + sqrt(5200))*-5 + sqrt(5200))*-4 + 3)**2*-5. -21874820 + 243600*sqrt(13) Simplify -4*((1 + sqrt(200)*1 + 3)**2 + ((1*sqrt(288))/sqrt(12))/(-1*sqrt(1728))). -864 - 959*sqrt(2)/3 Simplify (5*2*sqrt(91)*6)/((sqrt(84)*2)/sqrt(12) - -3*sqrt(14)/sqrt(2)) + 3 + -2. 1 + 12*sqrt(13) Simplify (-4 + -3*(0 + (sqrt(275) + sqrt(275)*-2*-1 + sqrt(275) - sqrt(275) - ((sqrt(275)*1 - sqrt(275)) + -2))))**2*-1. -22375 - 900*sqrt(11) Simplify (6*(sqrt(45)*-5 - sqrt(45))*-2)/(sqrt(54)/(sqrt(36)/sqrt(6)) + -1*sqrt(144)). -24*sqrt(5) Simplify (1*sqrt(84)/sqrt(3)*-5)/((sqrt(48)/(sqrt(6) - (sqrt(6) - sqrt(18)/sqrt(3))))/sqrt(2))*1*1. -5*sqrt(7) Simplify -6*4*(1 + sqrt(108) + sqrt(108) + 2 + sqrt(3) + -1 + (3 + sqrt(3) + sqrt(6)/sqrt(2) + sqrt(192))*3)**2. -136032 - 22704*sqrt(3) Simplify -1*(3*(sqrt(10)/(sqrt(14)/(-3*sqrt(7) + sqrt(7))) + (sqrt(80) - (0 + sqrt(80)))**2) + 0 + -5). 5 + 6*sqrt(5) Simplify (sqrt(3328)*4)/(1*sqrt(64) + sqrt(64) - sqrt(64)) + ((sqrt(26)/sqrt(2) + 3)**2 + 3 - sqrt(156)/(sqrt(12) + sqrt(48)/(sqrt(8)/sqrt(2)))). 25 + 27*sqrt(13)/2 Simplify 0 + sqrt(7) + 2 + 1*sqrt(567) - (sqrt(5082) + sqrt(5082) + (sqrt(5082) - -2*sqrt(5082) - sqrt(5082)) + sqrt(5082) - sqrt(5082))/(sqrt(30)/sqrt(80)). -166*sqrt(7) + 2 Simplify 1 + ((-1*sqrt(325) + -2 + sqrt(1872))**2 - (-1*(sqrt(208) + -4 + sqrt(208) + sqrt(208)))**2). -1246 + 68*sqrt(13) Simplify ((-1 + 2*sqrt(1573) - (sqrt(1573)*2 + 4) - ((1 + sqrt(1573))*6 - (sqrt(1573) + 1 + -5)))**2 + -3 + 1)*5. 8250*sqrt(13) + 197740 Simplify 0 + -4*(0 + (-4*(sqrt(108) + -4))**2 - ((sqrt(108) + 4*sqrt(108) + 0)*5)**2). 3072*sqrt(3) + 262064 Simplify ((sqrt(228)/(sqrt(12) + sqrt(108)*-2) - (-1*sqrt(19)*-1 + -3)) + (1 + sqrt(2299)*2 + -4)*2)**2. -1284*sqrt(19)/5 + 870349/25 Simplify 2 + ((sqrt(468)/(sqrt(24)/(sqrt(2) - (sqrt(2)*1 - sqrt(2))))*3)/(1*sqrt(6)/sqrt(2) - (sqrt(3) - (sqrt(108)*2 - sqrt(108)))))**2. 21/4 Simplify 6*(3*sqrt(140)*-1)/sqrt(7) - (-1 + ((-1*sqrt(980) - sqrt(980) - sqrt(980))*-5)**2). -220499 - 36*sqrt(5) Simplify (1 + ((-3*(sqrt(1008) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 2)) + 5))**2 + -5 + -1)*-4)*-5. 25920*sqrt(7) + 727255 Simplify (sqrt(704)*-1 + 2)*6 - (0 + (6*(sqrt(275) + 0))**2). -9888 - 48*sqrt(11) Simplify (-3 + (3 + 3*(5 + 4*(sqrt(1323) - (2 + sqrt(1323)))))*4)**2. 729 Simplify (((-2 + sqrt(2736)*1)*-3 - ((sqrt(2736) - (1 + (2 + sqrt(2736) - sqrt(2736)))) + 0)) + 0 + -5)**2. -384*sqrt(19) + 43792 Simplify ((sqrt(52)/(-2*sqrt(4)))**2 - sqrt(91)/(sqrt(7)*-5) - ((sqrt(260)*1)/sqrt(10))/((sqrt(16)/sqrt(2))/sqrt(4))) + 2. -4*sqrt(13)/5 + 21/4 Simplify -5 + ((sqrt(91)*2*-1 - sqrt(91)) + sqrt(91)*-3*2)/((sqrt(70) - 1*sqrt(70)*2)/(-2*sqrt(90))). -54*sqrt(13) - 5 Simplify (((sqrt(72) + sqrt(72)*2)/(sqrt(162)/sqrt(2)) - 4*(2 + sqrt(98) + 1))**2 + -1)*-2. -2990 - 1248*sqrt(2) Simplify (-1*(sqrt(360) + sqrt(360) + sqrt(360) + (2*sqrt(360) - sqrt(360)))*-3)/((sqrt(98) + 2*sqrt(98)*-6 + sqrt(98))*3). -12*sqrt(5)/35 Simplify (((sqrt(72)/(sqrt(20)/sqrt(5)))/(sqrt(324) + -4*sqrt(324)) + -2)*-6)**2 + 5. 8*sqrt(2) + 1343/9 Simplify (2*(0 + -4*(sqrt(637) + -1*sqrt(637)*3 + sqrt(637) + -5 + (sqrt(637) + -2 - sqrt(637)))))**2*-1. -43904 - 6272*sqrt(13) Simplify ((1*(2 + (sqrt(1872) - (0 + sqrt(1872) + -1)) + -1))**2 + 0)*-6. -24 Simplify ((sqrt(288)*-2 + sqrt(288))/(-2*sqrt(96) + sqrt(96)) - (sqrt(36)/(sqrt(72)/(sqrt(18)/sqrt(3))) + 1)) + -3. -4 Simplify (-1*sqrt(320) + sqrt(180) + -2*sqrt(180) + 2*(-3*sqrt(10)/sqrt(2) + sqrt(5) + -3))**2*1. 216*sqrt(5) + 1656 Simplify -5*((1 + sqrt(17))*-4 - -1*(sqrt(136)/sqrt(8))**2 - ((sqrt(1700) - (sqrt(1700) + 0 + 0)) + sqrt(1700)*-2*2)**2). 20*sqrt(17) + 135935 Simplify 3 + (-5 + -1*sqrt(720)*3 + (sqrt(720) - (-4 + (sqrt(720)*-3)**2) - sqrt(720)) + 1)*5. -32397 - 180*sqrt(5) Simplify (3 + 4*(1*sqrt(833) + sqrt(833)) - ((sqrt(833) - (sqrt(833) - (-1 + sqrt(833)))*6) + -5))**2 + 5. 1372*sqrt(17) + 41018 Simplify (((-2*sqrt(88) + sqrt(88))*-4 - sqrt(88))/(sqrt(32)/sqrt(4)*-5) + 1 + (-4*(sqrt(11) + sqrt(44)/sqrt(4) + -5) - (4 + sqrt(704) + -1)))**2. -2988*sqrt(11)/5 + 83879/25 Simplify -3*((3*-2*(3 + (sqrt(153) - -1*sqrt(153) - sqrt(153)) + sqrt(153)))**2*-2 + -1). 7776*sqrt(17) + 134139 Simplify -2 + (0 + (-4*sqrt(1088)*2 - sqrt(1088)) + sqrt(1088) + -2 + 2 + 2 + 0)**2. -256*sqrt(17) + 69634 Simplify -3 + ((sqrt(272) + (sqrt(272) - sqrt(272)*-2)*-4 + sqrt(272))*1 + (-2 + sqrt(272)*1)*6)**2. 384*sqrt(17) + 4493 Simplify (-4*(sqrt(171)*3 - sqrt(171))*4*6)/(((sqrt(72) - ((sqrt(72)*-2 + sqrt(72))*5 - sqrt(72))) + sqrt(72))/(sqrt(72)/(sqrt(36)/sqrt(4)))). -24*sqrt(19) Simplify (2 + ((4 + sqrt(1573)*1 + sqrt(1573))*-3 - (sqrt(78)/(sqrt(96) + (-2*sqrt(96) - sqrt(96))) + 3)))**2. 6851*sqrt(13)/4 + 3621293/64 Simplify (1*sqrt(637)*-3 + 1 + -5 + sqrt(156)/(sqrt(12) - 2*sqrt(12)) + sqrt(91)/(sqrt(14)/sqrt(2)))**2 + 0. 168*sqrt(13) + 5749 Simplify ((sqrt(192)/sqrt(4)*5 - sqrt(48))/(sqrt(128) + 2*sqrt(128)))/(-6*(sqrt(108)*1 + sqrt(108) - sqrt(108) - sqrt(12))*-6). sqrt(2)/432 Simplify 3 + (sqrt(500) + sqrt(500)*3 + -1 + 2*(sqrt(500) - sqrt(500)*2) - ((sqrt(500) + 0 + sqrt(500) + -4 + sqrt(500))**2 + -5*sqrt(500)*3)). -4514 + 410*sqrt(5) Simplify ((sqrt(96)*2*4)/(sqrt(576)*-2))/(sqrt(72)*-2 - -1*(sqrt(8) + -5*sqrt(8))). sqrt(3)/30 Simplify 3 + (-1*(sqrt(14) + sqrt(28)/sqrt(2)*-2))/((sqrt(343) - (1*sqrt(343)*-4 - sqrt(343))) + sqrt(343) + sqrt(343) + sqrt(343)). sq
{ "pile_set_name": "DM Mathematics" }
10521, 444669? 602831 What comes next: 111, -270, -569, -516, 159, 1726, 4455, 8616? 14479 What is next in -552272, -552285, -552298, -552311, -552324, -552337? -552350 What is next in -560589, -560581, -560573, -560565? -560557 What is next in -8897643, -17795165, -26692689, -35590215, -44487743, -53385273, -62282805? -71180339 What comes next: 147682, 148445, 149208, 149971? 150734 What comes next: -36141, -71986, -107277, -141738, -175093, -207066, -237381? -265762 What is the next term in -12807, -20440, -28073, -35706, -43339, -50972? -58605 What is the next term in 30224, 30210, 30190, 30164, 30132, 30094? 30050 What comes next: -13803012, -13802997, -13802982? -13802967 What is next in -43916059, -43916062, -43916065, -43916068? -43916071 What is next in 275395, 275723, 276051, 276379? 276707 What is next in -61921064, -61921063, -61921062, -61921061, -61921060, -61921059? -61921058 What is next in 12350852, 12350858, 12350868, 12350882? 12350900 What is next in 100217, 200275, 300333, 400391, 500449, 600507? 700565 What is the next term in -888, -1783, -2562, -3165, -3532, -3603, -3318, -2617? -1440 What is next in -1042, -1596, -3084, -5968, -10710, -17772? -27616 What is the next term in 41237341, 82474695, 123712049, 164949403, 206186757? 247424111 What is the next term in 348501, 348494, 348485, 348474, 348461, 348446? 348429 What is next in -1940, -193, 1554, 3301? 5048 What comes next: 1061042, 2122038, 3183034, 4244030, 5305026, 6366022? 7427018 What is next in 227336, 227324, 227312, 227300, 227288, 227276? 227264 What comes next: -618, -2017, -4172, -7089, -10774, -15233, -20472? -26497 What is next in 6125038, 24500205, 55125482, 98000869? 153126366 What is the next term in -11736, -11859, -12188, -12825, -13872, -15431? -17604 What is next in 13833, 55252, 124165, 220470, 344065? 494848 What is the next term in -969991, -969979, -969957, -969925, -969883? -969831 What comes next: -3032, -6093, -9174, -12275, -15396? -18537 What comes next: -93342, -186945, -280552, -374163, -467778, -561397? -655020 What comes next: -1215062, -2430128, -3645198, -4860272, -6075350? -7290432 What is the next term in -18311, -71480, -160093, -284150, -443651, -638596, -868985? -1134818 What comes next: -1559535, -1559567, -1559603, -1559643, -1559687, -1559735? -1559787 What comes next: 138, -2459, -10516, -26751, -53882, -94627? -151704 What is next in -19796, -20512, -22438, -26174, -32320, -41476? -54242 What is next in -1567422, -1567423, -1567424, -1567425? -1567426 What is the next term in 6751, 6967, 7187, 7411? 7639 What is the next term in 14141, 23792, 33443, 43094, 52745, 62396? 72047 What is next in 885664, 1771336, 2657008, 3542680, 4428352, 5314024? 6199696 What comes next: 2857, 2704, 2439, 2056, 1549, 912? 139 What comes next: -198, -380, -548, -690, -794, -848, -840? -758 What is the next term in 78, 510, 1706, 4056, 7950, 13778, 21930? 32796 What is the next term in 277, 159, -33, -299, -639, -1053? -1541 What is next in -2045, -7624, -16927, -29960, -46729, -67240? -91499 What is next in 592131, 2368454, 5328973, 9473688, 14802599, 21315706, 29013009? 37894508 What is next in -4540583, -9081164, -13621747, -18162332, -22702919, -27243508? -31784099 What comes next: -1225479537, -1225479538, -1225479539, -1225479540, -1225479541? -1225479542 What is the next term in -1591, -3258, -5007, -6838, -8751? -10746 What is the next term in -18408, -18947, -19486, -20025, -20564? -21103 What is the next term in 275, 32, -447, -1222, -2353, -3900, -5923? -8482 What is next in 257115, 514233, 771353, 1028475, 1285599, 1542725? 1799853 What is the next term in 196, 1783, 3422, 5137, 6952, 8891? 10978 What is next in 5101, 20475, 46073, 81895, 127941? 184211 What is the next term in -274083, -273815, -273369, -272745? -271943 What comes next: -10052, -20066, -30046, -39992, -49904, -59782, -69626? -79436 What is next in 241957, 479165, 716371, 953575? 1190777 What comes next: 706027, 705994, 705939, 705862, 705763, 705642, 705499? 705334 What is the next term in 73669, 296271, 667281, 1186705, 1854549, 2670819, 3635521, 4748661? 6010245 What is next in 403639864, 403639867, 403639872, 403639879, 403639888? 403639899 What is next in -37377880, -74755762, -112133644? -149511526 What is next in -8085166, -16170338, -24255510, -32340682, -40425854? -48511026 What is the next term in 531847, 531840, 531833, 531826, 531819, 531812? 531805 What comes next: 131544, 263047, 394550, 526053, 657556, 789059? 920562 What is the next term in -33450, -33442, -33446, -33468, -33514? -33590 What is the next term in 542, 9844, 19122, 28364, 37558? 46692 What is the next term in -10597764, -10597754, -10597746, -10597740, -10597736, -10597734, -10597734? -10597736 What is next in 345382, 690793, 1036234, 1381711, 1727230? 2072797 What is next in -801, -3985, -9293, -16725? -26281 What is the next term in 3800, 5133, 3772, -277, -7008, -16415, -28492? -43233 What comes next: -1583153, -1583186, -1583215, -1583240? -1583261 What is next in 83473783, 83473780, 83473779, 83473780, 83473783, 83473788? 83473795 What comes next: 3173515, 3173512, 3173509? 3173506 What comes next: -117461, -235819, -354191, -472583, -591001, -709451? -827939 What is the next term in 28369665, 28369666, 28369667? 28369668 What is next in 293830, 2350796, 7933988, 18806518, 36731498, 63472040? 100791256 What is next in 42792, 85697, 128602, 171507, 214412, 257317? 300222 What is the next term in 45866585, 91733169, 137599753, 183466337? 229332921 What comes next: 6824001, 6823968, 6823875, 6823692, 6823389? 6822936 What comes next: -17965750, -17965752, -17965754, -17965756? -17965758 What is next in -49045, -98249, -147453, -196657? -245861 What is next in -16841, -16655, -16443, -16193, -15893, -15531? -15095 What is next in 465532, 465677, 465822, 465967, 466112? 466257 What is next in 5846190, 5846192, 5846194, 5846196? 5846198 What is the next term in -1655, -3416, -5115, -6746, -8303? -9780 What is the next term in 421736, 843494, 1265252, 1687010, 2108768? 2530526 What is the next term in 16089, 16858, 17653, 18474, 19321, 20194? 21093 What is the next term in -284335, -284309, -284283? -284257 What is the next term in 41659078, 41659080, 41659082, 41659084, 41659086, 41659088? 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5267 What is the next term in -39234, -78363, -117492, -156621? -195750 What is the next term in 22093, 44347, 66599, 88849, 111097? 133343 What is next in 349027, 348960, 348849, 348694, 348495, 348252? 347965 What is next in -21073, -41712, -62351, -82990, -103629, -124268? -144907 What comes next: 626090, 626302, 626652, 627134, 627742, 628470, 629312? 630262 What is the next term in 125498520, 125498517, 125498514, 125498511, 125498508, 125498505? 125498502 What is next in 81133, 162375, 243617? 324859 What comes next: -324440, -324782, -325126, -325472, -325820? -326170 What comes next: -11220, -11915, -12646, -13413? -14216 What is next in -691322, -1382647, -2073972, -2765297? -3456622 What is next in -316274, -316377, -316478, -316577, -316674, -316769? -316862 What comes next: 79028342, 158056676, 237085010, 316113344? 395141678 What is next in 3610, 10062, 16514, 22966, 29418? 35870 What comes next:
{ "pile_set_name": "DM Mathematics" }
(-4)/25*(-568400)/(-3248)? -28 What is 10560/(-11000)*(-30)/(-936)? -2/65 (8800/264)/(6/(-18))*(-7)/((-35)/2) -40 Evaluate (-395)/(-79)*2/(-9)*-15*(-11)/110. -5/3 Evaluate (-160)/30*(-25)/((-200)/(-93)). 62 Evaluate (88165/(-330))/(-229)*24. 28 What is the value of 1456/672*30/(-40)? -13/8 What is (-45)/(((754/(-29))/(-130))/(16/10)*-8)? 45 What is the value of (-100)/18*(-85644)/(-15860)? -30 Calculate (4/44)/((-3356)/9229). -1/4 Evaluate (-3*4/(-198))/(9000/(-40500)). -3/11 What is (-198)/(-1650)*207/27*-10? -46/5 What is -21*(2162/(-27531))/47? 2/57 What is the value of 1/(-3)*8*54/4032? -1/28 What is the value of (-2)/(-4)*-8*(5/55)/((-100)/(-550))? -2 What is the value of (-5)/(48/36*1395/(-1364))? 11/3 Evaluate ((-231)/616*316)/((-3)/2). 79 What is ((544/(-15))/(-8))/(((-40)/(-14))/((-4525)/(-2534)))? 17/6 (-8384)/4192*(-18)/(-20)*(-30)/1 54 What is (48/(-10))/(((-8)/6)/(1640/(-1845)))? -16/5 Evaluate (-154)/42*1*3*18*(-140)/1848. 15 What is the value of (4/(-245))/((-113)/((-29945)/53))? -4/49 What is ((-6)/(-9)*-1)/((-267)/(-9612))? -24 Calculate ((-63)/(-18))/(96/(-72)). -21/8 What is ((-18)/(-12)*20/75)/((54/(-570))/9)? -38 What is 2/(-6)*(26649/(-210))/(-141)? -3/10 Calculate (-691)/((-483700)/(-2000))*(21/(-18))/((-2)/4). -20/3 What is ((-1)/(-2))/((143022/(-396))/197)? -3/11 Calculate 4*(-30)/64*272/(-29580). 1/58 What is the value of (9/(-5))/((230/500)/(-23)*132/110)? 75 What is 8/924*11/(-2)? -1/21 What is the value of ((-173)/((-19722)/(-171)))/(3/(-14))? 7 Evaluate (15525/(-135))/((-18)/12*(-4)/6). -115 Calculate (-20)/5*(-315)/(-105). -12 What is the value of (38*(-55)/(-1045))/(-2)? -1 What is (472/(-112)*49)/(14/4)? -59 Evaluate (-676)/(-16224)*320/(-30). -4/9 Evaluate (44/18)/(-8*(-127)/(-2286)). -11/2 What is the value of ((-9)/(-81))/(721/4635)? 5/7 Calculate (((-16)/(-70))/((-4)/(-5)))/(1/336). 96 Calculate (6182/(-247280))/(3/(-9)*3/(-1)). -1/40 What is ((392200/108225)/((-2)/9))/(2*(-2)/26)? 106 What is the value of -4*49/84*(-8)/728? 1/39 What is the value of (180/620730*-33)/((-6)/(-33))? -1/19 Calculate (-4695)/1878*2/(-1725)*-12*(-5)/14. 2/161 What is (-528)/(-26334)*19*45/(-140)? -6/49 What is the value of 40/(-2)*426/2272*(-96)/(-396)? -10/11 Calculate (4/((-16)/(-68)))/(10659/13794). 22 Calculate (((-16)/(-14))/((-1150)/920))/((-2)/7). 16/5 ((-900)/(-250))/(-1*1)*112/168 -12/5 What is ((-49600)/312480)/(((-6)/(-3))/(70/15))? -10/27 Calculate ((-1)/4)/((-23251)/6138264). 66 What is the value of ((-20)/3190)/((351/99)/13)? -2/87 What is ((-60)/9)/(38/19)*-6? 20 What is the value of (-33152)/(-290080)*(-35)/502? -2/251 (2/5)/(5698/(-77330))*(-14)/4 19 Calculate ((-105)/(-18))/((-33)/77*5880/(-900)). 25/12 What is ((-324)/(-594))/((-663)/(-374))? 4/13 66/((-3300)/((-16060)/146)) 11/5 5*(-2)/8*1*(-480)/(-100)*10 -60 Calculate (3078/(-133))/27*20/8*-7. 15 (-4*42/(-392))/(1485/(-693)) -1/5 Evaluate ((-24)/8)/((-1380)/(-736)*(-4)/5). 2 (-1)/(46/736*96) -1/6 Evaluate (-188811)/(-8991)*89/(-21). -89 Evaluate (26*6/624)/((-4)/248*(-8)/(-16)). -31 Evaluate 8/(98/((-7)/(-1))*8/48). 24/7 What is the value of ((-34)/10)/(((-6380)/(-275))/116)? -17 Calculate 111/(-329337)*-43*-2. -2/69 ((3*1/(-345))/(4/(-10)))/(210/(-840)) -2/23 Evaluate (24/210*-3)/((-80)/2000)*(-21)/6. -30 What is (-6)/15*(-31320)/(-522)? -24 24/(-6)*((-438)/8)/(-73) -3 What is ((-35)/(-70))/((-2)/4)*38/(1292/1054)? -31 Evaluate ((-142164)/(-21540))/(1/(-5)). -33 Evaluate 96/(-120)*(-760)/(-13984). -1/23 What is the value of -6*((-4368)/1820)/((-16)/30)? -27 Evaluate 8*(-1*9/6)/(3/(-4))*2. 32 What is the value of 2/(-27)*-3*12*(-985)/22852*58? -20/3 Evaluate (19/171*(-12)/56)/((-3)/(-9)). -1/14 Evaluate ((-12)/48)/((1475/25)/(-18172)). 77 What is the value of (-395*(-54)/(-12798))/(6/4)? -10/9 (((-13)/(-585)*9)/(2/(-130)))/((-5)/1) 13/5 (3/2)/(3/((-720)/(-10))*(-72)/88) -44 What is the value of ((-3776)/177)/64*-17? 17/3 What is (9/(-96))/((-4677)/(-2893504))? -58 Evaluate 1*25/10*1*6480/(-200). -81 Evaluate ((-4)/(-145))/((-88)/(-4620)*-21). -2/29 What is the value of (-451)/1599*-2*3/(66/1)? 1/39 What is the value of (-75*104/(-63700)*(-21)/9)/(1/22)? -44/7 Evaluate ((-12)/14)/((-3559)/199304). 48 -3*5/540*-3*378/(-420) -3/40 (50/(-34))/(245/4165) -25 (-52)/572*88*(-51)/4 102 Calculate 39/(-26)*55/(-6600)*1*(-2)/(-2). 1/80 What is the value of ((24/40*(-48)/12)/5)/((-12)/40)? 8/5 931/(-1330)*(((-1152)/(-280))/(-9))/1 8/25 What is the value of 6*(-16)/(-300)*15*(-53)/318? -4/5 (((-2502)/(-828))/139)/(((-15)/40)/(-3)) 4/23 What is the value of (30/70*20/(-30))/(-67*(-9)/(-63))? 2/67 What is ((-3108)/(-5920))/(28/48)? 9/10 Calculate (103815/(-415260))/(33/6*26/8). -2/143 1*(-264)/1*(-35)/((-15960)/(-152)) 88 Evaluate ((-701)/((-464763)/30940))/(2/6). 140 What is the value of (((-54)/(-5))/9)/(((-848)/(-7155))/8)? 81 Calculate (1875/(-1050))/((-11)/((-2772)/240)). -15/8 What is (644/70)/(7*((8/1)/8)/(-7))? -46/5 What is (188/(6580/70))/(1/15)? 30 What is the value of ((-588)/924*11)/(7/74)? -74 (2/((-480)/18))/((-543)/1810) 1/4 (-140*175/29400)/(210/(-9)) 1/28 What is (-14)/14*25/(-35*(-2)/42)? -15 What is (17820/14850)/((-12)/(-22))? 11/5 What is ((-12)/(-4))/((6/10)/((-236)/(-118)))? 10 Calculate (-49)/(13328/1020)*12/50. -9/10 Calculate (180/210*(-140)/30)/((-16)/212). 53 What is ((-170829)/(-162))/(-57)*8/4? -37 Evaluate 4*-1*(2/(-36))/(690/52785). 17 Calculate (4*(-209)/176)/(7*(-10)/280). 19 What is (2/20)/(-1)*93/(-1240)*(-60)/(-72)? 1/160 (((-2420)/(-22))/10)/(715/30) 6/13 Evaluate (76/893)/(10/(-40)*8). -2/47 (52/27)/(351/1053*2) 26/9 ((-1)/(3/(-216)))/(2168/813) 27 What is -2*(-15)/(-705)*(-11)/(-22)? -1/47 What is (-36)/33*14850/2700? -6 What is (-8*(-22)/(-20))/(((-1)/(-1))/((-30)/(-6)))? -44 What is the value of (-8551)/(-2515)*(-7)/(168/(-20))? 17/6 Calculate (((-275)/198)/(69/(-207)))/(-10). -5/12 What is the value of -2*10/1*1426/(-31)*(-3)/(-24)? 115 What is 819000/(-4095)*(-2)/20? 20 What is -34*((-22)/33)/((-108)/(-405))? 85 What is the value of ((-2)/4)/((-27317)/(-1852))? -2/59 671/122*1044/(-99) -58 (-21)/35*(2720/72)/(-17)*(-162)/(-12) 18 What is the value of (8/(-1598))/(20508/(-58106))? 2/141 Calculate (-40)/6*8*1995/(-3800). 28 Calculate (35*(-404)/10605)/(-1*3/(-153)). -68 What is the value of (-12)/(-54)*(-7611)/236*6? -43 What is -17*21*46/2737*(-161)/21? 46 Calculate ((-106056)/(-11784))/(2/((-136)/(-12))). 51 What is 14672/4192*4/70? 1/5 Calculate (268/(-12))/(1355/(-4065)). 67 Calculate ((3534/285)/(-62))/(5/(-100)*42). 2/21 What is the value of 10/((-1600)/(-352))*60/336*16? 44/7 What is the value of ((-14)/1764)/((-27)/63)? 1/54 (-26)/(-195)*10*54/(-1032) -3/43 Calculate ((-49)/24)/((-17689)/(-5054)). -7/12 Calculate (-3504)/12264*(-2345)/(-5). -134 (660/44)/(48/28) 35/4 671/2398*112/1708 2/109 Evaluate 5*106/(-34450)*-250. 50/13 Evaluate ((-1)/9*10)/(22544/(-25362)). 5/4 Evaluate (1605/3745)/(3/(-1)*(-1)/35)*4. 20 What is the value of 5/(10/(-4))*(-171952)/7816? 44 What is the value of ((-115)/138*15/25)/(7/966)? -69 What is the value of ((-1)/((-5)/(-6)))/(1767/114*12/(-10))? 2/31 Evaluate ((-1)/(2*2/(-2)))/(1155/39270). 17 Evaluate -161*(3261/(-4348))/(14/(-8)). -69 (-3315)/(-65)*(-2)/3*(-198)/(-198) -34 Evaluate ((-84)/(-40))/(-21)*((-6)/(-2))/((-88)/352). 6/5 What is the value of (-1)/(-1)*4983/(-403623)? -1/81 Calculate 2/((-200)/(-590))*(-90)/27*-3. 59 (((-219)/(-12))/(10/(-8)))/(691/3455) -73 Evaluate (-48)/18*(-17)/(272/(-72))*2. -24 What is 1/(((12/(-4))/99)/(93/279))? -11 Evaluate ((36800/224)/25)/(14/196). 92 What is (-10)/(-2)*(24/(-264))/((-18)/(-990))? -25 What is ((-280)/(-196))/((-290)/(-7714))? 38 Calculate (-1)/(-1)*(-10)/((-80)/216)*(-30)/18. -45 What is the value of 6/15*-30*5/(-30)*3/(-237)? -2/79 What is the value of -10*335/((-167500)/4200)? 84 What is (-6)/(-7)*187/(-88)*(-28)/1? 51 Calculate (6/(-3))/(71/((-194824)/112)). 49 Evaluate 2/(-26)*33/(-3366)*-51. -1/26 Calculate ((-4)/(-11))/(-2)*19481/((-10143)/63). 22 Evaluate -11*25/275*-1*59. 59 Calculate (900/12375)/(10/11275). 82 What is the value of (-108)/(48/4)*(-1150)/230? 45 Evaluate ((-144900)/(-8625))/(2/(-5)). -42 Calculate 9/(-4)*((-16)/18)/((4512/(-360))/(-94)). 15 Evaluate 68/42*43908/(-124406). -4/7 What is ((-538)/(-304777))/(19/(-6
{ "pile_set_name": "DM Mathematics" }
1. 7034426 Calculate the smallest common multiple of 10476 and 29124. 8475084 Calculate the least common multiple of 1425641 and 4480586. 31364102 What is the least common multiple of 682587 and 81? 682587 Find the common denominator of -45/2407622 and -107/9630488. 9630488 Calculate the common denominator of 46/5187 and 64/851865. 11074245 Calculate the smallest common multiple of 82995315 and 221715. 248985945 Find the common denominator of -79/368 and -69/74384. 1710832 Calculate the least common multiple of 135324 and 143073. 102440268 Calculate the common denominator of 34/44145 and 37/239. 10550655 What is the smallest common multiple of 10507320 and 345? 10507320 Calculate the smallest common multiple of 5870 and 11485. 13483390 What is the least common multiple of 164229 and 1773? 97059339 Calculate the common denominator of 52/209875 and -151/9870. 414293250 What is the smallest common multiple of 225071 and 96940? 589686020 Calculate the common denominator of 24/121 and -107/474936. 5224296 What is the least common multiple of 205 and 1778770? 72929570 What is the least common multiple of 3684818 and 30396? 3294227292 Calculate the smallest common multiple of 6 and 8363173. 50179038 Calculate the common denominator of -143/605268 and 79/138. 605268 What is the least common multiple of 10944 and 23484? 1127232 What is the smallest common multiple of 2442006 and 16? 19536048 Calculate the least common multiple of 672 and 1671600. 3343200 Calculate the least common multiple of 2731274 and 8027. 62819302 What is the lowest common multiple of 11351045 and 95? 215669855 Calculate the common denominator of 17/19425 and 8/7056825. 49397775 What is the smallest common multiple of 449037 and 548823? 4939407 What is the least common multiple of 14418 and 2532? 6084396 Calculate the common denominator of 11/51277002 and 29/231. 564047022 What is the least common multiple of 1018 and 23776? 12101984 Calculate the least common multiple of 5085520 and 52011. 45769680 Find the common denominator of -30/53261 and 1/204. 639132 Calculate the lowest common multiple of 20 and 51513376. 257566880 Calculate the least common multiple of 1956 and 172066060. 516198180 Calculate the smallest common multiple of 7459857 and 1013067. 82058427 What is the least common multiple of 31003434 and 39861558? 279030906 Calculate the common denominator of 61/65296 and 81/1694. 718256 Find the common denominator of 89/2496880 and -9/645932. 297128720 What is the lowest common multiple of 9750 and 1329450? 86414250 What is the smallest common multiple of 21360303 and 9493468? 85441212 What is the least common multiple of 176979 and 27714? 52739742 What is the lowest common multiple of 3130094 and 6544742? 71992162 What is the smallest common multiple of 100 and 110467? 11046700 Calculate the lowest common multiple of 135830 and 393907. 3939070 Calculate the common denominator of -97/372066 and 17/5250. 325557750 What is the smallest common multiple of 54 and 589965? 10619370 Calculate the common denominator of 77/10680630 and -49/1460. 21361260 Calculate the lowest common multiple of 224091 and 2142. 7619094 Calculate the lowest common multiple of 31109250 and 6000. 248874000 Find the common denominator of 71/4808 and 53/10184. 6120584 What is the common denominator of -45/7687148 and -37/91826? 53810036 What is the least common multiple of 100980 and 1350? 504900 What is the least common multiple of 13779408 and 264? 151573488 What is the smallest common multiple of 120556928 and 663063104? 1326126208 What is the common denominator of -99/49566466 and 77/6914? 49566466 Find the common denominator of 5/6093 and -46/1708071. 5124213 Calculate the least common multiple of 150528 and 30. 752640 Calculate the least common multiple of 58872 and 4090712. 134993496 What is the smallest common multiple of 441350 and 214243900? 1499707300 What is the least common multiple of 75144 and 4283208? 4283208 Calculate the smallest common multiple of 4156204 and 20215. 20781020 What is the common denominator of 139/55670154 and 5/6? 55670154 Calculate the lowest common multiple of 680 and 32480. 552160 Calculate the smallest common multiple of 2970 and 2573208. 12866040 Calculate the common denominator of -61/354577272 and -131/37990422. 1063731816 What is the least common multiple of 12868544 and 12868544? 12868544 What is the least common multiple of 469329 and 7509264? 7509264 Calculate the common denominator of 31/73479520 and -23/10. 73479520 What is the least common multiple of 21356165 and 2009992? 170849320 What is the smallest common multiple of 21164 and 308359480? 308359480 Find the common denominator of 7/31723 and -16/119. 3775037 Calculate the lowest common multiple of 5419815 and 722642. 10839630 Find the common denominator of -191/255528 and -37/552. 5877144 Calculate the smallest common multiple of 45524 and 830214. 31548132 What is the lowest common multiple of 192 and 41880? 335040 What is the smallest common multiple of 3650 and 3586? 6544450 What is the smallest common multiple of 9200235 and 241758? 165604230 Find the common denominator of 53/1614 and -71/232722. 62602218 What is the least common multiple of 14758 and 24963? 2346522 Calculate the smallest common multiple of 9345 and 183540. 16335060 Calculate the common denominator of 1/288 and 13/1102392. 4409568 Calculate the common denominator of 89/227238 and 107/1031888. 968942832 What is the least common multiple of 165 and 291660? 3208260 What is the common denominator of -23/1071024 and -83/18? 3213072 What is the common denominator of 61/6308806 and -77/37038? 18926418 Calculate the smallest common multiple of 858 and 24547614. 270023754 What is the common denominator of -23/11977767 and -17/4070115? 419221845 Find the common denominator of -131/58008 and 173/1980. 9571320 Calculate the common denominator of -43/298254 and -35/71742. 324202098 Find the common denominator of 13/4059 and 35/3071556. 33787116 Calculate the common denominator of 5/249918 and -173/2898. 5248278 Calculate the common denominator of 7/1020 and 181/14015820. 14015820 What is the smallest common multiple of 272 and 1730838? 13846704 What is the smallest common multiple of 4950 and 5717250? 5717250 What is the lowest common multiple of 11432905 and 707190? 68597430 What is the common denominator of 11/2658 and -4/3089925? 6179850 What is the lowest common multiple of 530002 and 132? 3180012 Find the common denominator of 109/838074 and 48/5681. 207004278 Find the common denominator of -75/2228 and 55/266246. 532492 What is the lowest common multiple of 32300 and 6800? 129200 Find the common denominator of 2/112217 and -4/1201543. 49263263 Calculate the least common multiple of 2640 and 76920. 1692240 Find the common denominator of 127/54031884 and -55/320664. 108063768 What is the lowest common multiple of 400536 and 3293296? 29639664 Find the common denominator of -19/9274486 and -21/41966. 9274486 Find the common denominator of 37/248745465 and -20/16583031. 248745465 Find the common denominator of 31/2296492 and -117/604340. 11482460 What is the least common multiple of 767295 and 133679840? 1203118560 Calculate the lowest common multiple of 8128 and 185680. 94325440 Calculate the lowest common multiple of 119484 and 4032585. 16130340 What is the least common multiple of 610274 and 63? 5492466 What is the common denominator of 38/259 and -20/6889437? 48226059 What is the least common multiple of 6372 and 102778767? 411115068 What is the least common multiple of 8771104 and 167747364? 1341978912 Find the common denominator of -19/47040 and 151/10010. 6726720 Calculate the common denominator of 229/1040130 and -89/1578864. 307878480 What is the common denominator of -17/2267190 and -77/2766? 1045174590 Calculate the least common multiple of 3024 and 3144708. 37736496 Calculate the least common multiple of 1833816 and 2445088. 7335264 What is the common denominator of 19/351 and -55/42764? 15010164 What is the least common multiple of 789192 and 438440? 3945960 What is the common denominator of 73/10545 and -101/124438030? 373314090 What is the common denominator of -48/86797 and -92/1605? 139309185 Find the common denominator of 6
{ "pile_set_name": "DM Mathematics" }
5330 213.2 -0.1 * 706196 -70619.6 0.1224 * 0.065 0.007956 What is 1162 times -7? -8134 -7.25 * -3.23 23.4175 What is the product of -0.4 and 10.4622? -4.18488 Calculate 1*-301. -301 Calculate 1778619*0.2. 355723.8 -1375182 times 0.4 -550072.8 88 times 25798 2270224 Work out 2 * 971. 1942 Calculate 3.447*0.1. 0.3447 Multiply 0.056881 and 0.01. 0.00056881 0 * 1.7374 0 Calculate -15313*17.9. -274102.7 -0.4 times 1.73 -0.692 Product of 5422 and -452. -2450744 15 times 61258 918870 -169.9 times 723 -122837.7 Multiply 154591 and 0. 0 44887 * -6 -269322 Multiply 124122 and -0.4. -49648.8 -99.76 * -15 1496.4 Work out -0.12 * -4761. 571.32 Calculate -342995*0.4. -137198 What is the product of 28.2 and 5? 141 362 times 361 130682 Work out 6 * -103893. -623358 Work out -5 * 10162. -50810 -6923 * 9 -62307 -12.66 times -0.21 2.6586 Multiply 75.4 and -143.5. -10819.9 146 times -35.65 -5204.9 Calculate 0*33456. 0 Product of 3948 and 191. 754068 1.1*692 761.2 Calculate -36*-77.7. 2797.2 Product of 18 and 57867. 1041606 What is the product of 4.94 and -25.7? -126.958 -0.05415596*1 -0.05415596 What is the product of 1 and -0.0983071? -0.0983071 What is the product of 1715.69 and 1? 1715.69 What is the product of -1667692 and -0.5? 833846 Product of -3576 and -0.045. 160.92 What is the product of 0.1 and -12332? -1233.2 0.5575 * -4 -2.23 0.3634 * 40 14.536 Multiply -3420 and 6.91. -23632.2 28972 * -0.2 -5794.4 -85079 times -17 1446343 -21.3 times -0.782 16.6566 What is the product of -0.2 and 65840? -13168 676.87*2 1353.74 0.556*1.2 0.6672 Product of -16629 and 0.4. -6651.6 0.0229 times 795 18.2055 Multiply 1.0789 and -1. -1.0789 Product of -5 and -1501.23. 7506.15 Work out -735 * 6.52. -4792.2 -33 times 25.875 -853.875 -58925 * 3 -176775 Product of -133152 and 1.5. -199728 -0.23*1.1048 -0.254104 What is the product of 1 and 0.023? 0.023 -25.6 times -5.465 139.904 -46606 * -0.06 2796.36 -126014 times -2 252028 -14.115*-0.35 4.94025 Calculate 20.60957*-4. -82.43828 Work out 740 * 30.5. 22570 What is -2 times 6530.1? -13060.2 52.5 * -193.9 -10179.75 Calculate 15*19.56. 293.4 Multiply -700.6 and -0.2. 140.12 What is 3.58 times 672? 2405.76 -887195 times -0.4 354878 1 times -128.71 -128.71 What is -9025 times 0.36? -3249 -19 * 125783 -2389877 1.214464 times 0.4 0.4857856 -8893*2.9 -25789.7 What is 149 times 0.242? 36.058 Calculate 57997*0. 0 Work out 0.5 * 1375517. 687758.5 0 * 17708 0 Product of 0.2 and 46125. 9225 What is the product of 0.0696015 and 0.3? 0.02088045 Calculate -41*170. -6970 What is the product of 673 and 0.2676? 180.0948 What is the product of 8209 and 0.7? 5746.3 Calculate -114611.9*0.4. -45844.76 Work out 2182 * 2.98. 6502.36 -457.1 * -1 457.1 Multiply -0.1573 and -923. 145.1879 Calculate -30033*-2. 60066 What is -19780 times -4? 79120 -94950.9 * 0.1 -9495.09 -35*-161 5635 586 times -67 -39262 0.04 times 115.22 4.6088 Product of -3 and 0.021269. -0.063807 Multiply -0.5 and -4.0832. 2.0416 Calculate 0.11614*-4. -0.46456 What is the product of -0.5 and 242002? -121001 Work out -199.22 * 0.4. -79.688 What is -17 times -134.8? 2291.6 What is the product of -3265 and 0.27? -881.55 Product of -0.6 and 1056.7. -634.02 What is the product of 0 and -0.969? 0 -0.4 * -9903 3961.2 Work out 25.823 * 3. 77.469 Product of 19 and 2928. 55632 What is the product of -0.023803 and -5? 0.119015 -7648*-0.1 764.8 What is the product of -1 and 1341.5? -1341.5 -6116 times 0.0665 -406.714 Work out -0.1829 * -24.5. 4.48105 Product of -0.1 and -5.7547. 0.57547 Multiply -1.039 and 3427. -3560.653 6601 times 66 435666 What is the product of 5 and -49.0336? -245.168 Calculate 14.8*408. 6038.4 0.2*-3.78102 -0.756204 Work out -0.4 * -0.06215. 0.02486 Multiply -90452 and 4. -361808 1.1*-5780 -6358 -561.8 * -0.9 505.62 408.98 times 7 2862.86 Work out 3687 * 1.026. 3782.862 -33*-50.31 1660.23 Product of -27660 and -0.3. 8298 Product of -179 and -0.6012. 107.6148 2.4*-3285 -7884 What is the product of -0.2 and 113492? -22698.4 3.9463 * -0.4 -1.57852 Multiply -67.1 and 24. -1610.4 Work out 0.061 * 6069. 370.209 Product of 2304 and -757. -1744128 1503 times -196.8 -295790.4 What is -3 times 44.384? -133.152 What is -2.215 times 24? -53.16 What is the product of -4727 and -47? 222169 What is -3 times 256125? -768375 Product of 5.175878 and 3. 15.527634 4.4*0.22 0.968 Product of 5 and 92. 460 Multiply -5 and -6245. 31225 What is the product of 1.67096 and 0.5? 0.83548 -0.18472 * -0.2 0.036944 Work out 0.1 * -5002. -500.2 What is the product of -514 and 5? -2570 31306*-4.7 -147138.2 What is the product of 0 and 49.703? 0 What is 311.1 times -0.2? -62.22 Multiply 0.6 and 0.43398. 0.260388 What is the product of -13 and -3678.04? 47814.52 Work out -15.27 * 2. -30.54 Multiply -1812 and -30.27. 54849.24 Product of -692 and -3501. 2422692 Calculate -475*-0.051. 24.225 3979834*-3 -11939502 What is the product of 2140541 and -0.2? -428108.2 -7.26296 times -2 14.52592 Multiply 17456 and 57. 994992 Work out -1.1 * -4506.9. 4957.59 Calculate -133*54.4. -7235.2 What is the product of 22575 and -24? -541800 0 times 0.020901 0 18410 times -0.2 -3682 What is the product of 3 and 6057.4? 18172.2 Multiply 69.22585 and 0. 0 -4 times 0.342 -1.368 Calculate 2607*-0.259. -675.213 What is the product of -28.00345 and 5? -140.01725 Calculate -2.3*-0.0665. 0.15295 -5*-1780 8900 What is 8553.2 times 0.4? 3421.28 What is 28092 times -5? -140460 Work out -0.1027 * 4. -0.4108 What is the product of 109.118 and -12? -1309.416 What is the product of 0.035 and -87726? -3070.41 What is the product of -102.994 and -0.3? 30.8982 What is -1.4 times -0.0403? 0.05642 Product of -8.4229 and -31. 261.1099 Work out -854 * 552. -471408 Multiply -1.733 and 1.7. -2.9461 Multiply -8.09 and -0.0312. 0.252408 Calculate -174.04*-145. 25235.8 Work out -2 * -124.95. 249.9 -1.406*-12 16.872 Calculate 3112*0.0824. 256.4288 -7.88 * 0.2656 -2.092928 Product of -225 and -844. 189900 Multiply 0.0852 and 1399. 119.1948 -41940*1 -41940 2*-9.5758 -19.1516 Calculate -274710*0.2. -54942 Calculate -0.780782*0.5. -0.390391 -0.09 * 7652 -688.68 What is -0.19 times -12237? 2325.03 What is the product of 1276 and 0.02? 25.52 Work out 99.55 * -5. -497.75 -18*-17.934 322.812 Product of 0.4 and 4.143. 1.6572 Product of -49736 and -12. 596832 1444*-24 -34656 Calculate 0.06*54513. 3270.78 -0.66 times -855 564.3 What is 0.90059 times 5.8? 5.223422 14.9 * -400 -5960 Calculate -1485*-7.84. 11642.4 495.88 * -1 -495.88 -23.17*-6.7 155.239 Product of -12 and 3599. -43188 0.2 times 288.956 57.7912 Product of -5 and 3002. -15010 Product of -0.5 and 494.03. -247.015 Multiply -0.08 and 16996. -1359.68 Multiply -61.9726 and 0.1. -6.19726 2 * 128.69 257.38 -16267 * 0.7 -11386.9 229.5 times 0.36 82.62 60998 times -5 -304990 Product of 891 and 1.3. 1158.3 Multiply 3967 and 2.5. 9917.5 Work out -0.2 * 682178. -136435.6 What is the product of -508 and -13? 6604 What is 0.0996 times -41? -4.0836 Work out -56069 * -3. 168207 What is the product of 29167 and -0.2? -5833.4 Calculate -0.43*428. -184.04 Product of 336.27 and -10.1. -3396.327 Calculate -182*0.0405. -7.371 Product of -5 and 10674. -53370 Multiply -0.2616 and -18.6. 4.86576 What is -0.5 times 42976? -21488 -994.62 * -0.2 198.924 Work out 1299112 * 0.3. 389733.6 -0.2 * 136178 -27235.6 Calculate 0.23*-117.35. -26.9905 Product of -4 and -4973. 19892 What is the product of -0.1 and 16.0573? -1.60573 Product of -0.13 and 11. -1.43 What is the product of 0 and -0.220426? 0 3 * -136038 -408114 Multiply -5.8037 and -9. 52.2333 Multiply -986 and -87. 85782 What is -0.605 times -849? 513.645 Multiply -0.2 and -10.611. 2.1222 Product of -0.575785 and 3. -1.727355 Multiply -0.34207 and 0.1. -0.034207 What is the product of 0.01 and -254262? -2542.62 -2793 times -5 13965 Multiply -223 and 0.0627. -13.9821 What is the product of 51630 and -0.05? -2581.5 What is -176579 times -0.7? 123605.3 5 * -122704 -613520 0.11*2.96 0.3256 Product of -749 and 1.0247. -767.5003 Calculate -0.7*6819. -4773.3 Product of 0.438 and -84. -36.792 Multiply 1 and -2.183. -2.183 54301 * -0.5 -27150.5 -3 * 987039 -2961117 Calculate -989.94*1. -989.94 What is -1 times -19127? 19127 Calculate 20119*-0.018. -362.142 Product of -3158 and -1993. 6293
{ "pile_set_name": "DM Mathematics" }