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t(4)))**2)*6. 342 Simplify (-2*sqrt(78)*1)/(3*sqrt(12)/sqrt(2)). -2*sqrt(13)/3 Simplify (sqrt(16)/(sqrt(4) + sqrt(16)/sqrt(4)))/sqrt(2). sqrt(2)/2 Simplify (sqrt(84)/(sqrt(12)*-3))**2 - (2 + sqrt(7))*-6. 115/9 + 6*sqrt(7) Simplify (-2*(-3 + sqrt(7) + 1)*6)**2. -576*sqrt(7) + 1584 Simplify (-2*sqrt(1210) - sqrt(1210))/(sqrt(18)/(sqrt(9) + sqrt(18)/sqrt(2) + sqrt(9))). -99*sqrt(5) Simplify (5 + sqrt(13)*1)**2 - (-4 + sqrt(39)/sqrt(3)). 9*sqrt(13) + 42 Simplify (-5*(-1 + sqrt(13) + 4) + 3)**2*4. 480*sqrt(13) + 1876 Simplify -2*(sqrt(11) + sqrt(396)/sqrt(9))**2. -198 Simplify (-2*(-2 + sqrt(98)))**2. -112*sqrt(2) + 408 Simplify (sqrt(44)/sqrt(2))/sqrt(11) + (sqrt(98) + 0 - sqrt(98)) + sqrt(98) - ((sqrt(2) + 1)*-4)**2*-1. 48 + 40*sqrt(2) Simplify 2 + sqrt(40)/(sqrt(512)*-2). -sqrt(5)/16 + 2 Simplify 3 + (sqrt(18) + (sqrt(162)*2 + sqrt(162) - sqrt(162)) + sqrt(18) + sqrt(18))/sqrt(6). 3 + 9*sqrt(3) Simplify (sqrt(700) + -5*sqrt(700)*5)*6. -1440*sqrt(7) Simplify ((sqrt(175) + sqrt(175)*1 + sqrt(175) - sqrt(175))/sqrt(5) + sqrt(35))/((sqrt(7) + sqrt(7) + sqrt(21)/sqrt(3) - sqrt(7))*4). 3*sqrt(5)/8 Simplify (-1 + sqrt(3))**2*5 + sqrt(432) + 1. 2*sqrt(3) + 21 Simplify (sqrt(363) + 2)**2 + (sqrt(3) - (sqrt(432) + (sqrt(432) - (0 + sqrt(432) - sqrt(432)))))**2. 44*sqrt(3) + 1954 Simplify 1*sqrt(117)*4. 12*sqrt(13) Simplify -5 + -1*sqrt(5) - (4 + sqrt(125)). -6*sqrt(5) - 9 Simplify (-3*sqrt(135))/sqrt(5). -9*sqrt(3) Simplify 6*(-2 + sqrt(1300)*1). -12 + 60*sqrt(13) Simplify (0 + (-6*(sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*-1))/sqrt(8))**2. 1584 Simplify 5 + (-3 + sqrt(832) + sqrt(832))**2. -96*sqrt(13) + 3342 Simplify ((sqrt(20)*-6 + 5)*-5)**2. -3000*sqrt(5) + 18625 Simplify sqrt(60)/(sqrt(12) + (sqrt(36)*-3)/sqrt(3)). -sqrt(5)/2 Simplify (sqrt(200) + -1)**2 + 1. -20*sqrt(2) + 202 Simplify 1*sqrt(832). 8*sqrt(13) Simplify ((-1 + (sqrt(832) + -1 - sqrt(832) - sqrt(13)))*-5)**2. 100*sqrt(13) + 425 Simplify (-4*sqrt(208))/(sqrt(144)/sqrt(4) - sqrt(4)). -4*sqrt(13) Simplify (-1 + sqrt(13) + sqrt(26)/sqrt(2))**2 + -2 + sqrt(117). -sqrt(13) + 51 Simplify 5 + (-4*sqrt(847))**2. 13557 Simplify 3*sqrt(19)*2 - (-1 + sqrt(1900)). -4*sqrt(19) + 1 Simplify sqrt(1331) + -2 - sqrt(539)*-2. -2 + 25*sqrt(11) Simplify -1 + -2 + sqrt(5) + ((-1*sqrt(50))/sqrt(10) + sqrt(5))**2. -3 + sqrt(5) Simplify ((-2 + sqrt(112))*-1)**2. -16*sqrt(7) + 116 Simplify (sqrt(1088) + (sqrt(1088) + -1 - sqrt(1088)))**2 + 4 - (-5 + (sqrt(204)*1 + sqrt(204))/sqrt(12) + sqrt(17)). -19*sqrt(17) + 1098 Simplify (2 + sqrt(72) + 1 + 4 + -1*(sqrt(72) - (sqrt(72) + -1)))**2. 72*sqrt(2) + 108 Simplify (sqrt(84)/((sqrt(108)*-5)/sqrt(9)))**2. 7/25 Simplify -4 + 1*(sqrt(12) + -4*sqrt(12)*-1)/sqrt(4). -4 + 5*sqrt(3) Simplify (sqrt(1088) - (-3*sqrt(1088) - sqrt(1088))*-6)**2. 575552 Simplify (sqrt(304)*6)**2 + sqrt(114)/sqrt(150). sqrt(19)/5 + 10944 Simplify ((sqrt(42) + (2*sqrt(336))/sqrt(8))/(2*sqrt(54)))**2. 7/4 Simplify sqrt(14)/(-2*sqrt(448) + sqrt(7)) + (sqrt(288) + -4)**2. -1441*sqrt(2)/15 + 304 Simplify -4*sqrt(288)*1. -48*sqrt(2) Simplify (5 + (-1*(0 + sqrt(11)) - sqrt(77)/sqrt(175)))**2. -12*sqrt(11) + 1021/25 Simplify (1*sqrt(500))**2 + -5. 495 Simplify ((2*sqrt(1088))**2 - sqrt(1088)) + sqrt(1088) - sqrt(1088) - (sqrt(612) - (-2 + sqrt(612)) - sqrt(17)). -7*sqrt(17) + 4350 Simplify 2*-1*sqrt(1100) + 1. -20*sqrt(11) + 1 Simplify -5 + (1 + sqrt(343) - (-2*sqrt(1008) - sqrt(7))**2). -4379 + 7*sqrt(7) Simplify (-3*sqrt(700) - -5*(sqrt(7) + -1))*-3. 15 + 75*sqrt(7) Simplify ((sqrt(114)*-1*-6)/(sqrt(6) + sqrt(726) + sqrt(726) + sqrt(726)*1 + sqrt(726)))**2. 76/225 Simplify -1*sqrt(200)*6. -60*sqrt(2) Simplify sqrt(162) + -2 - (sqrt(16)*-3)/sqrt(8). -2 + 12*sqrt(2) Simplify -1*((sqrt(3) - (1*2*sqrt(3) + sqrt(3)))*-4)**2. -192 Simplify sqrt(19) + (sqrt(76)*-2)/sqrt(4) - (1*sqrt(114))/sqrt(6). -2*sqrt(19) Simplify (sqrt(136)*1*-3)/(-1*sqrt(392)). 3*sqrt(17)/7 Simplify (-2*sqrt(65))/sqrt(5) + (-4 + sqrt(1872))**2. -98*sqrt(13) + 1888 Simplify sqrt(76) + -3 + 2. -1 + 2*sqrt(19) Simplify sqrt(65)/(1*(sqrt(45) - sqrt(5))). sqrt(13)/2 Simplify 3*sqrt(176) - ((1*sqrt(1584))**2 - sqrt(11)). -1584 + 13*sqrt(11) Simplify 3 + sqrt(200)*2. 3 + 20*sqrt(2) Simplify (6*3*sqrt(242))**2. 78408 Simplify -6*(1 + sqrt(153) + 0)**2. -924 - 36*sqrt(17) Simplify (-3*sqrt(65)*2)/(sqrt(245)*-2 + sqrt(5) - sqrt(5)). 3*sqrt(13)/7 Simplify sqrt(190)/(sqrt(270)/sqrt(3)) - (sqrt(304)*2 + 1). -23*sqrt(19)/3 - 1 Simplify ((sqrt(68) + 2)*-6)**2. 288*sqrt(17) + 2592 Simplify sqrt(45)/sqrt(9) + 1 + 4*sqrt(5) + 5 + sqrt(5). 6 + 6*sqrt(5) Simplify 0 + (-6*(2 + sqrt(704))*4)**2. 18432*sqrt(11) + 407808 Simplify sqrt(10)/(-2*sqrt(320)). -sqrt(2)/16 Simplify sqrt(13) + (sqrt(13) - sqrt(156)/(sqrt(12) + (sqrt(300) - sqrt(12)))) + sqrt(117)/sqrt(9) + -2. -2 + 14*sqrt(13)/5 Simplify sqrt(5)*-2 + 5 + -2. -2*sqrt(5) + 3 Simplify sqrt(18)/(sqrt(36)*-3) + (-5*sqrt(88))/sqrt(11). -61*sqrt(2)/6 Simplify sqrt(80) + -2 + sqrt(5) + 1. -1 + 5*sqrt(5) Simplify (2*sqrt(119))/sqrt(7) - (sqrt(1700) + 0 + sqrt(17)). -9*sqrt(17) Simplify 3 + -3 + 4 + sqrt(7). sqrt(7) + 4 Simplify (6*sqrt(70)*1)/sqrt(10). 6*sqrt(7) Simplify (sqrt(171) + 1 + sqrt(304) + -3)**2. -28*sqrt(19) + 935 Simplify ((sqrt(153)*1)/sqrt(3))/(sqrt(108)/sqrt(4)). sqrt(17)/3 Simplify ((-1*sqrt(147))/sqrt(3))/(-5*-1*sqrt(7)). -sqrt(7)/5 Simplify (sqrt(140)/(-2*sqrt(10)))/sqrt(252). -sqrt(2)/12 Simplify ((-3*(sqrt(22) + sqrt(198)))/(-6*(sqrt(11) + sqrt(11)*2)))**2. 8/9 Simplify ((sqrt(121) - (sqrt(121)*-1 + sqrt(121)))*-5)/sqrt(11). -5*sqrt(11) Simplify (1*sqrt(2) + 4)**2 + 2. 8*sqrt(2) + 20 Simplify ((1*sqrt(550))/sqrt(10))/(sqrt(11)*2*6). sqrt(5)/12 Simplify 4 + ((sqrt(357)*1)/sqrt(7))/(sqrt(75)*2). sqrt(17)/10 + 4 Simplify (sqrt(405) - (sqrt(405) + -1)*-5)**2. -540*sqrt(5) + 14605 Simplify sqrt(10)/sqrt(2)*-6 - (sqrt(60)/(sqrt(12)*1))**2. -6*sqrt(5) - 5 Simplify (1 + sqrt(156)/(sqrt(192)/sqrt(4) + sqrt(12)))**2. 2*sqrt(13)/3 + 22/9 Simplify sqrt(85)/(sqrt(55)/(sqrt(11) - -2*sqrt(11)) - sqrt(5)). -3*sqrt(17)/2 Simplify -4*(1 + sqrt(5)) + 0. -4*sqrt(5) - 4 Simplify -1 + ((sqrt(2) - -1*sqrt(32))**2 + sqrt(2))*3. 3*sqrt(2) + 149 Simplify (sqrt(99) - (sqrt(99) - (sqrt(99) + -5)*3))**2. -270*sqrt(11) + 1116 Simplify ((1 + sqrt(612) + 1 + -5)*2)**2. -144*sqrt(17) + 2484 Simplify -1 + (sqrt(192)/sqrt(4))**2 + 3. 50 Simplify (2*(sqrt(95) + (sqrt(95)*-2 - sqrt(95)) - sqrt(95)))/(sqrt(5) - (-2*sqrt(180) - sqrt(180)) - sqrt(5)). -sqrt(19)/3 Simplify -2 + -1*sqrt(112). -4*sqrt(7) - 2 Simplify 2 + (sqrt(35)/(sqrt(7) + 2*sqrt(7) + sqrt(7))*5)**2. 157/16 Simplify 1 + (sqrt(304) + sqrt(304) + -3 + sqrt(304) + sqrt(304))*-5. -80*sqrt(19) + 16 Simplify 2 + -2 + sqrt(52) + -5. -5 + 2*sqrt(13) Simplify (4 + (3*sqrt(7))**2)*-3. -201 Simplify 3 + -3*(sqrt(2) + (sqrt(98)*2)**2). -1173 - 3*sqrt(2) Simplify 5*sqrt(50)/(sqrt(20)/sqrt(2)). 5*sqrt(5) Simplify ((3*sqrt(21)/sqrt(3))**2 - sqrt(28)/sqrt(4)*4) + 4. -4*sqrt(7) + 67 Simplify (sqrt(133)*2 - sqrt(133) - sqrt(133))/sqrt(7) - sqrt(1900)*1. -10*sqrt(19) Simplify 4*sqrt(65)/(sqrt(5)*2). 2*sqrt(13) Simplify (2 + sqrt(175) + sqrt(175) - sqrt(175))*1. 2 + 5*sqrt(7) Simplify -4 + sqrt(18)/sqrt(144). -4 + sqrt(2)/4 Simplify (sqrt(567) + 2*(sqrt(567) + sqrt(567)*2 - sqrt(567)))*-5. -225*sqrt(7) Simplify (sqrt(833)*2 + sqrt(833) - (sqrt(2448) + 0 - sqrt(17) - sqrt(17)))**2. 2057 Simplify ((sqrt(22)*2)/sqrt(11) + (sqrt(24) - sqrt(216) - sqrt(24))/sqrt(12))**2. 2 Simplify sqrt(847) - (sqrt(847)*-6 - sqrt(847)) - (0 + -4*sqrt(7)). 92*sqrt(7) Simplify ((sqrt(304) + 2*sqrt(304))**2 + sqrt(209)/(sqrt(22)/sqrt(2)))*4. 4*sqrt(19) + 10944 Simplify sqrt(133)/(sqrt(7) + sqrt(14)/sqrt(2)) - (sqrt(19) + 0 + -3). -sqrt(19)/2 + 3 Simplify 0 + sqrt(1539)*-1 + 3 + 4. -9*sqrt(19) + 7 Simplify (sqrt(7) - (sqrt(112))**2) + (sqrt(70) + (3*sqrt(70) - sqrt(70)))/sqrt(10). -112 + 4*sqrt(7) Simplify (-4*(sqrt(68) - (-2*sqrt(68) - sqrt(68) - sqrt(68))))/((-2*sqrt(48))/sqrt(12) + sqrt(4))*-5. -100*sqrt(17) Simplify (-1 + (sqrt(245) + sqrt(245) + 0)**2)*-2. -1958 Simplify (6*(-5*sqrt(228) - sqrt(228)))/sqrt(12). -36*sqrt(19) Simplify (1 + sqrt(17)*-4)**2 + 2. -8*sqrt(17) + 275 Simplify (sqrt(30) + (sqrt(3000) - sqrt(3000)*-2) - sqrt(30))/sqrt(10). 30*sqrt(3) Simplify -6*-3*3*sqrt(5). 54*sqrt(5) Si
{ "pile_set_name": "DM Mathematics" }
or s. 1 Let z(c) = 34*c**3 - 370*c**2 + 1465*c - 1632. Let p(y) = 8*y**3 - 92*y**2 + 366*y - 408. Let v(x) = -9*p(x) + 2*z(x). Solve v(f) = 0. 2, 3, 17 Let k(j) = -9*j**2 + 117*j - 807. Let b(p) = 2*p - p**2 - 101 - 8*p + 9*p + 2*p + 9*p. Let c(v) = -33*b(v) + 4*k(v). Factor c(w). -3*(w - 7)*(w + 5) Let s = 1993/10164 + -5/121. Let z(v) be the third derivative of s*v**4 - 4/105*v**5 + 7*v**2 + 1/420*v**6 - 2/7*v**3 + 0 + 0*v. Suppose z(q) = 0. Calculate q. 1, 6 Let g(c) be the third derivative of -c**5/210 + 31*c**4/6 - 433*c**3/21 - 152*c**2 - 5*c - 2. What is z in g(z) = 0? 1, 433 Let b(d) be the third derivative of 0 + 1/420*d**7 + 0*d**4 + 0*d**5 - 1/240*d**6 + 106*d**2 + 0*d + 0*d**3. Factor b(z). z**3*(z - 1)/2 Find r such that 8*r - 2*r**4 - 2/9*r**5 - 2/3*r**2 + 0 - 46/9*r**3 = 0. -4, -3, 0, 1 Let q(r) be the first derivative of -25/2*r + 45/8*r**2 + 1/16*r**4 - r**3 - 4. Solve q(a) = 0. 2, 5 Let x(s) = s**2 - 15*s + 46. Let o be x(11). Determine f so that -140*f**o - 223*f + 90 - 174*f + 25*f**3 + 562*f = 0. -2/5, 3 Let f(v) be the second derivative of 3*v**5/4 + 25*v**4/6 + 10*v**3/3 - 13*v**2 + 14*v - 4. Let r(a) be the first derivative of f(a). Factor r(s). 5*(s + 2)*(9*s + 2) Let w(n) be the third derivative of n**9/22680 - n**8/3360 + n**7/1890 + 137*n**4/24 + 8*n**2. Let h(l) be the second derivative of w(l). Solve h(t) = 0. 0, 1, 2 Let w(o) be the first derivative of -1/2*o**4 - 1/3*o**3 + 10*o**2 - 80 + 28*o. Factor w(t). -(t + 2)**2*(2*t - 7) Let m = 87 + -85. Let -15*t**3 + 0*t**m - 55*t - 15*t**2 + 30*t**3 + 5*t**4 - 30 = 0. Calculate t. -3, -1, 2 Let x(b) be the third derivative of -b**8/280 - 22*b**7/105 + 391*b**6/300 - 179*b**5/75 + 4*b**4/3 - 227*b**2. Suppose x(w) = 0. What is w? -40, 0, 1/3, 1, 2 Let a(j) be the first derivative of -1/3*j**4 - 1/2*j**3 + 2*j + 2 + 1/20*j**5 + 9*j**2. Let b(y) be the first derivative of a(y). Factor b(r). (r - 3)**2*(r + 2) Factor -3/5*c**4 - 42/5*c**3 - 96/5*c**2 + 0 + 384/5*c. -3*c*(c - 2)*(c + 8)**2/5 Let d be 0/18 - (-3 + (-3)/(-3)). Factor 8*y + d*y - 24*y + 39*y**2 - 31*y + 6. 3*(y - 1)*(13*y - 2) Let d(o) = -9*o**2 - 108*o + 464. Let c(q) = -75*q**2 - 867*q + 3711. Let j(f) = -4*c(f) + 33*d(f). Factor j(a). 3*(a - 26)*(a - 6) Let m(r) be the third derivative of -r**6/40 - 39*r**5/10 - r**2 - 1959. Factor m(p). -3*p**2*(p + 78) Let b = 8 + -26. Let v = b - -20. Factor 2*u**2 + v*u**2 - 14*u + 10*u. 4*u*(u - 1) Let q = -54062 - -108137/2. Factor -1/2*h**2 - q*h + 0. -h*(h + 13)/2 Let t(v) be the first derivative of 11/2*v**2 + 0*v - 3*v**4 + 339 + 2*v**5 + 1/6*v**6 - 10/3*v**3. Determine m so that t(m) = 0. -11, -1, 0, 1 Let h(v) be the third derivative of -v**6/40 + 3*v**5/10 + 3*v**4 - 32*v**3 + 525*v**2 + 3*v. Factor h(u). -3*(u - 8)*(u - 2)*(u + 4) Let b(a) be the first derivative of 1/40*a**5 - 11*a + 17 - a**2 + 2/3*a**3 - 5/24*a**4. Let v(w) be the first derivative of b(w). Factor v(d). (d - 2)**2*(d - 1)/2 Let i(f) be the second derivative of -f**4/6 - 37*f**3/6 + 2*f - 1329. Let i(s) = 0. Calculate s. -37/2, 0 Let p(g) be the second derivative of 3/2*g**2 - 6 - 7*g - 27/40*g**5 - 1/4*g**4 + 9/4*g**3. Factor p(i). -3*(i - 1)*(i + 1)*(9*i + 2)/2 Let g = -2991260/3 - -997132. Find f such that 2/3*f**2 - g*f + 2312/3 = 0. 34 Let a(c) = 537*c + 5. Let b be a(0). Let z(s) be the second derivative of 1/4*s**b - 35/6*s**3 + 7*s - 10*s**2 + 0 - 5/6*s**4. Solve z(t) = 0 for t. -1, 4 Suppose -63*p - 1747 + 487 = 0. Let l be 16/3*(-6)/p. Determine y so that 3/5*y**2 - 2/5*y**3 + 4/5 - 1/5*y**4 + l*y = 0. -2, -1, 2 Let d(s) = -s**3 + 3*s**2 + 36*s - 13. Let q be d(7). Suppose 0 = 11*a - q*a + 96. Suppose -8/3 + 20/3*p + 4/3*p**a - 16/3*p**2 = 0. What is p? 1, 2 Let w be 7 + (-2 - 1) - -4. Factor 6*g**3 + 2*g**3 + w*g**2 + 7*g**3 - 6*g - 17*g**3. -2*g*(g - 3)*(g - 1) Let a(t) = 5*t**2 - 5*t - 13*t - 46 + 34*t. Let h(r) = r**2 + 3. Let y(i) = a(i) - 6*h(i). Determine c so that y(c) = 0. 8 What is h in -5657*h - 2352 - 892*h**3 - 4856*h**2 + 240*h**4 + 168*h**4 + 45*h**5 + 81*h**5 - 377*h = 0? -7/3, -1, 24/7 Let j(f) be the third derivative of -f**7/4410 - f**6/420 + 2*f**5/15 - 4*f**4/3 - 3*f**2 - 3*f. Let k(a) be the second derivative of j(a). Factor k(w). -4*(w - 4)*(w + 7)/7 Let i(d) be the second derivative of d**4/6 - 26*d**3/3 + 25*d**2 + d + 486. Factor i(n). 2*(n - 25)*(n - 1) Let 14*m**3 + 1376*m - 1394/5*m**2 + 120 = 0. What is m? -3/35, 10 Let p(c) = -126*c + 2*c**2 + 259*c - c**2 - 133*c - c**3. Let y be p(-1). Factor -1/2*f - 1/4*f**y + 3/4. -(f - 1)*(f + 3)/4 Let h(m) = m**2 + 5*m + 45. Let y be h(-13). Factor 146*f**3 - 296*f**3 + y*f**3 + 5*f**2. -f**2*(f - 5) Let b(k) be the third derivative of k**6/24 + 175*k**5/2 + 57640*k**4 + 1372880*k**3/3 + 2871*k**2. Let b(d) = 0. Calculate d. -524, -2 Let d(f) be the third derivative of 1/15*f**5 + 2*f**2 + 0 + 10/3*f**3 + 23/9*f**4 - 47*f. Solve d(i) = 0. -15, -1/3 Let g(k) be the second derivative of -k**5/5 - 329*k**4/3 - 53120*k**3/3 + 165336*k**2 - 2655*k. Suppose g(j) = 0. What is j? -166, 3 Determine v, given that -27/2*v**2 + 99/2*v - 21*v**3 - 15 = 0. -2, 5/14, 1 Factor 28*t**2 + 95*t**4 - 194*t**4 + 101*t**4 - 30*t**3. 2*t**2*(t - 14)*(t - 1) Let l(h) = 4*h + 111. Let n be l(0). Let z = -106 + n. Factor -11*j - z*j + 13*j - 5 + 3 - j**2. -(j + 1)*(j + 2) Determine r so that 1/8*r**2 + 11/8 - 3/2*r = 0. 1, 11 Let t(h) = h**3 + h**2 - 1. Let l(j) = -j**3 + 2*j**2 - 7*j - 8. Let a(o) = 2*l(o) + 4*t(o). Solve a(r) = 0 for r. -5, -1, 2 Let v(w) be the second derivative of w**5/60 + 7*w**4/36 - 40*w**3/9 - 96*w**2 + 27*w + 5. What is y in v(y) = 0? -8, 9 Factor -5/4*g**2 - 15*g + 0. -5*g*(g + 12)/4 Let v(j) be the third derivative of j**6/10 - 323*j**5/75 + 53*j**4/15 + 746*j**2. Factor v(n). 4*n*(3*n - 1)*(5*n - 106)/5 Let a(s) = 2*s**2 + 7*s - 14. Let t be a(2). Suppose 5*x**3 - 3*x**5 + 14 - 4 + t - 21*x - 18*x**2 + 19*x**3 = 0. What is x? -3, -1, 1, 2 Suppose 4*x - 4*j = 28, 1 = -3*j - 2. Suppose -4*n + 3*n + 1 = -k, x*k = -3*n + 39. Factor 3/5*p**2 - 2/5*p**3 + 0 + 0*p - 1/5*p**k. -p**2*(p - 1)*(p + 3)/5 Let z(m) be the second derivative of -m**7/21 - 8*m**6/5 - 63*m**5/10 - 1885*m. Let z(u) = 0. What is u? -21, -3, 0 Let a(u) be the first derivative of -u**5/300 + 13*u**4/120 + 105*u**2 - 222. Let r(t) be the second derivative of a(t). Let r(k) = 0. What is k? 0, 13 Let c(m) be the second derivative of m**4/18 - 58*m**3/45 - 8*m**2/5 - 76*m. Factor c(i). 2*(i - 12)*(5*i + 2)/15 Suppose 52 = 5*l - 3*g, 0 = 8*l - 4*g - g - 86. Factor -18/5*t - 14/5*t**l + 0. -2*t*(7*t + 9)/5 Let j(a) be the second derivative of -44/3*a**3 + 1 + 484*a**2 + 1/6*a**4 + 10*a. Factor j(n). 2*(n - 22)**2 Factor -244*r + 33*r**3 + 505*r - 6*r**3 + 27*r**2 - 128*r - r**4 - 186*r**2. -r*(r - 19)*(r - 7)*(r - 1) Let j(f) be the second derivative of -f**8/3360 + 23*f**7/1260 - 11*f**6/180 - 22*f**4/3 - 40*f + 1. Let o(m) be the third derivative of j(m). Factor o(y). -2*y*(y - 22)*(y - 1) Let w(p) = -19*p + 2. Let q be w(1). Let c be q/(-4) + (-115)/92. Find a such that -2*a - a + 9*a**c - 6*a**3 + 3*a**2 - 3*a = 0. -2, 0, 1 Let t(y) = -y + 36. Let z be t(17). Let g be (19 - z)*(-1)/(-2). Factor -2/9*q**2 + 0 + g*q. -2*q**2/9 Let c(x) = 8*x - 82. Let r be c(13). Factor -194 - s**2 - s**2 - 44*s - r - 26. -2*(s + 11)**2 Let n(s) = 2645*s - 216890. Let q be n(82). Factor 15/7*m**2 + 1/7*m**3 + q*m + 0. m**2*(m + 15)/7 Suppose 33*u - 64 = 29*u. Factor -36*t**2 + 54 - 3*t**4 + 10*t - 10*t - u*t**3 + t**4. -2*(t - 1)*(t + 3)**3 Let q(b) be the second derivative of b**4/84 + 155*b**3/42 - 237*b**2/7 - 853*b - 1. Factor q(k). (k - 3)*(k + 158)/7 Let p(y) be the first derivative of 3*y**5/5 + 75*y**4/4 - 26*y**3 - 4272. Factor p(q). 3*q**2*(q - 1)*(q + 26) Let y(z) = 10*z**2 - 77*z + 3. Let k(q) = -32*q**2 + 234*q - 10. Let d(p) = -3*k(p) - 10*y(p). Find o, given that d(o) = 0. 0, 17 Let t(q) be the first derivative of -q**7/2520 - q**6/108 - 23*q**5/360 - 7*q**4/36 - 11*q**3 + 21. Let k(l) be the third derivative of t(l). Factor k(s). -(s + 1)*(s + 2)*(s + 7)/3 Let d = 345317/44265 + -10/8853. Suppose 24/5*k**2 - 4/5*k + 8/5*k**5 + d*k**4 + 59/5*k**3 + 0 = 0. What is k? -2, -1, 0, 1/8 Suppose 107*j - 1 = 97*j - 1. Factor 2/5*g**3 + j*g**4 - 1/5*g**2
{ "pile_set_name": "DM Mathematics" }
) -3 (c) o a Let y = 6 - 19. Let t = 16 + y. Which is the nearest to t? (a) -0.3 (b) 0.1 (c) 0.5 c Let n = 169 + -166. Which is the closest to 78? (a) n (b) 3/2 (c) -5 a Let d be (-1)/4 - 63/(-28). Let j(q) = -q**3 - 5*q**2 + 10*q - 1. Let p be j(-6). Let y = -21 - p. Which is the closest to d? (a) y (b) -4 (c) 1/8 c Let d be (32/56)/(5 + -3). Let o = 5 - 5.3. What is the nearest to 1 in -0.4, d, o? d Let m = -1732/5 - -346. What is the nearest to m in 0.1, -1, -3? 0.1 Let s = -13.18 - -0.18. Let w = 2.1 + 11. Let y = s + w. Which is the nearest to 0? (a) 6 (b) y (c) 3/2 b Let o = -68/5 - -481/35. Let z = 17 + -17.4. Which is the nearest to 1? (a) z (b) o (c) -7 b Suppose 3*o = 5*u + 12 - 3, -u = 2*o - 19. Let p = -8.62 + 9.62. Which is the nearest to -2? (a) p (b) 2/5 (c) o b Let d = 6.7 - 7. Let w = 67 - 70. Let f = -0.058 - -0.058. Which is the closest to 0.1? (a) w (b) d (c) f c Suppose 14 = t + 2*y, 0 = -26*t + 21*t - 2*y + 30. Let i be 4/18 + 4/(-9). What is the nearest to 0.1 in i, t, -8? i Let m be 672/(-396)*6 + 10. What is the closest to 0 in 0.3, 71, -0.1, m? -0.1 Let l = -141 - -146. Which is the closest to l? (a) -2/11 (b) -2 (c) -0.13 c Let j(i) = i**2 - 23*i + 138. Let k be j(13). Let s be 1*(-2 - (-39)/21). Which is the closest to -0.1? (a) k (b) -4 (c) s c Let u(k) = -4*k - 69. Let b be u(-14). What is the nearest to b in 0.2, 3, 2? 0.2 Let u = 5.1 + -0.1. Let r be -4 - ((-60)/28 + 2)*31. Which is the nearest to 3? (a) r (b) u (c) -0.4 b Let l = 1.941 + -1.741. Let i = 5420/21 + -258. What is the closest to 0.1 in l, i, -7? i Suppose 0 = -5*q + 1 + 9. Suppose 0 = 7*z + q - 16. Which is the nearest to z? (a) 1 (b) -0.3 (c) 4 a Let i = -174 - -174. Which is the nearest to -1/3? (a) i (b) -1 (c) 9 (d) -4 a Suppose -33 = -5*v + 102. Let g = -188/7 + v. Let f = 1 + -4. What is the nearest to f in g, 3/2, 1/8? 1/8 Suppose 0 = 3*w - 3*k + 42, 0*k + 5*k = -2*w. What is the closest to 6/5 in -4, -1/7, w? -1/7 Let l(y) = 9*y - 179. Let t be l(20). Which is the closest to t? (a) -0.4 (b) 3 (c) 0 c Let l = 1933 + -7729/4. Which is the nearest to 1? (a) -4 (b) -1/3 (c) l (d) -0.5 c Let l be ((-5)/(25/(-20)))/2. Suppose l*x + 4*n - n = -7, -3*x + 3*n = 18. What is the nearest to 2 in -1/2, x, -0.2? -0.2 Let k be 357/(-33) - -11 - 108/231. Which is the closest to -1? (a) 3 (b) 0 (c) k (d) -0.5 d Let m = 20582 - 20579. Let t = -3 - -5. Which is the nearest to 0? (a) m (b) t (c) 8 b Let i(u) = u + 7. Let d be i(-5). Let k be (180/105)/((-2)/7). Which is the closest to 2? (a) d (b) 4 (c) k a Let n = 1363 + -1358. Let r be 4/6 + 1 + -2. What is the closest to r in n, 1/2, -0.5? -0.5 Let m = 89 - 88. Which is the nearest to 1? (a) 1/5 (b) 7 (c) m c Suppose t = -2*h + 8, h + t = -3*h + 14. Let q = 52 + -38. Suppose 10 - q = 2*k. Which is the closest to 3? (a) 2 (b) h (c) k b Let b = 2/177 + -535/354. What is the nearest to b in -0.3, 0.1, -12? -0.3 Let w = 26 - 27. Suppose 4*j = 5*p - 9, j - 5 + 11 = 2*p. Which is the nearest to -0.1? (a) 0 (b) w (c) j a Let x = 38 + -37.98. Let n be (0 - -2) + (-96)/54. What is the closest to n in 4, x, 0? x Let t = 1.18 + -2.18. Which is the closest to t? (a) -1 (b) 1/8 (c) 3/4 a Suppose 5*k - 2*f + 1 = -5*f, -k + 13 = 5*f. Let o be 0 - (-1)/16*2. Which is the nearest to o? (a) k (b) -0.2 (c) -1/4 b Let w = 5 + -4.9. Let m = -0.033 + 4.033. Which is the closest to w? (a) -4 (b) m (c) 0.2 c Let b = 16.64 - 17. Let p = b + 0.38. Let d = 0.38 + p. What is the nearest to 0 in 5, d, -4? d Suppose -6*q + 2 = -5*v - 3*q, 0 = 4*q + 4. Let i = 55 - 46.2. Let h = -9.8 + i. What is the nearest to v in -2/5, -3/4, h? h Let l = -13 + 34. Let c = l - 17. Let n be (2/4)/((-28)/8). What is the nearest to -0.1 in -0.1, n, c? -0.1 Suppose 22*q - 300 = -212. Let i = 0 + -2. What is the nearest to i in q, -4, 0.4? -4 Let z(s) = 5*s**3 + 9*s - 14. Let f be z(4). Let r be (-1)/(-2) - 95/f. Which is the closest to 2/3? (a) -1 (b) r (c) -5 b Let p be (0 - (1 - 0))/((-45)/(-90)). Let x be (-6)/(-40) - 2/(-8). What is the closest to x in -0.5, p, 4? -0.5 Suppose q - 2*q = 5*z + 12, 4*q - 3*z = -2. Which is the nearest to 0? (a) 1 (b) 5 (c) 26 (d) q a Let u be (2 - 60/21)/((-69)/23). Which is the closest to 0? (a) -2 (b) 3 (c) u c Let h = -107/6 - -35/2. Let s = -63.4 + 66. Let p = s + -2.5. Which is the closest to h? (a) 0.2 (b) -3 (c) p c Let u(s) = 9*s - 18. Let i be u(8). Which is the nearest to -0.1? (a) -0.1 (b) i (c) 2 a Let r = -55 - -55.4. Let c = -0.4 + 0.2. Let w = 0.1 + c. What is the closest to w in r, -0.1, 5? -0.1 Let n = 77.18 - 75. Let i = 20 + -19.82. Let g = i - n. Which is the closest to 0.1? (a) g (b) 0.3 (c) 3 b Let g = -0.102 + 0.402. What is the closest to 0 in 1/2, g, 1? g Let g = -39.4 + 40.2. What is the closest to -1 in 1, g, 0.1? 0.1 Let n = 164.7 + -175. Let p = n + 10. Let g = p - 4.7. Which is the nearest to 1? (a) -3 (b) -4 (c) g a Let t = -102 + 102. Which is the nearest to t? (a) -127 (b) 0.5 (c) 4 (d) -4/7 b Suppose j + 6 = -d, -2*j = 5*d - 6*d. Let l = 6 + -5.8. Which is the nearest to 0? (a) l (b) d (c) 0.1 c Let d(t) = 2*t - t**3 + 2*t**2 - 3902 + 3902. Let j be d(-1). Which is the closest to j? (a) 0.3 (b) -3 (c) -4/7 a Let n be (-12)/(-8)*(-10)/45. Which is the nearest to -0.09? (a) 2 (b) -10 (c) -2/7 (d) n c Let q = -149 + 146. What is the closest to 2 in -5, -2/25, q, 0? 0 Let v = 420 - 427. What is the closest to -0.1 in 0, 2/5, 3, v? 0 Let q = -80 + 53. Let j = -40 - q. Let m = -13.2 - j. What is the nearest to -2/5 in -3, m, -1? m Suppose -27*s + 32*s + 15 = 0. What is the closest to 1 in 0.06, s, -2/3, -2? 0.06 Let y = 349 - 348.8. What is the closest to 0 in -5, y, 6? y Let g = 10.3 - 1.3. Let i = g + -9.1. Let u be 2 + (-2)/(-4) + -2. What is the nearest to -1 in u, i, -1? -1 Let w = 1 - 0. Let m = 7 - 4. Let a = -0.702 + 0.302. What is the nearest to -1 in a, m, w? a Let z be (-10)/(-154)*(-3)/(-1 - -4). Let k = -39/77 + z. Let r = 0.5 - 1. What is the nearest to 2/7 in k, 5, r? r Let r be -5 + (-574)/(-49) - 7. Which is the nearest to r? (a) -0.2 (b) 5 (c) -45 a Suppose 0 = -5*k + o - 2 + 40, 2*k = -4*o + 2. Let z be (-7)/10 - 2/(-4). What is the closest to -2/7 in z, -1/3, k? -1/3 Let k(q) = 95*q - 283. Let i be k(3). Which is the closest to 0? (a) -9/2 (b) i (c) 0.2 c Suppose 2*k = 4*k - 8. Suppose -5*g = 4*o + 40, 2*g = -0*g + 4*o + 12. What is the closest to 1/2 in k, g, 2? 2 Let h = 0.6 - 0.1. Let l = 33 + -33.13. Let f = l - 0.37. What is the closest to 0.2 in f, h, -1? h Let t(v) = 3*v**2 - 78*v + 71. Let o be t(25). Which is the closest to 2/3? (a) o (b) 55/8 (c) 2 c Let k = 0.1 - 0.6. Let s = 3.7 - -3.3. Let w = 6 - s. Which is the nearest to w? (a) k (b) 0.2 (c) 4 a Let w = 0.15 + 2.85. Let j = 729/8 + -91. Let i = 0.9 - 1. Which is the closest to i? (a) -4 (b) w (c) j c Let h be (1 - (-6)/(-8)) + 0. Let v = -0.49 + 0.59. What is the closest to 1 in h, v, 1? 1 Let p = -84.3 + 87.3. Suppose 9*g = 8*g - 1. Which is the closest to 2/5? (a) p (b) g (c) -16/7 b Let w = 1800 + -8997/5. Suppose -2*o - 3*m = -16, 3*o + 7*m - 4*m = 21. Let i be 8/o - (-2 + 4). Which is the nearest to 0? (a) w (b) 0.2 (c) i b Let h = -26 - -31. Let m = -17 - -11. Let z = m + h. What is the nearest to z in 5, 1, -4? 1 Let r = 0.14 - -6.86. What is the closest to 0.05 in -1/4, 3, r? -1/4 Let x = 33.6 + -32. Let h = 1.4 + x. What is the nearest to 2/3 in h, 2, -1/2? -1/2 Let n = -0.612 - -0.412. What is the nearest to 2/7 in -0.3, 10, n, -1? n Let y = -133 - -129. Which is the nearest to 2/7? (a) -1/2 (b) 0.06 (c) y b Let v = 26 - 25.8. Let z = -2.3 + 0.3. Let i = z - -2. Which is the closest to v? (a) 4 (b) -1 (c) i c Let q = -9 - -9.04. Let o = q - -5.96. Let j = o - 6.2. Which is the closest to 0.1? (a) -2/7 (b) j (c) -2/3 b Let x(v) = 346*v - 1731. Let a be x(5). Let b = 19/2 + -99/10. What is the nearest to b in -19, 5, a? a Let y = 3.22 + -3.62. Let q be 1/(-4) - (-10)/(-24). Which is the nearest to 1? (a) q (b) y (c) 0.4 c Let i = 50 + -69. Let g = -16 - i. What is the nearest to 0 in -2, g, 10? -2 Let m be ((-6)/28)/((-6)/8). Let g = 90.9 - 91. Let o = 495
{ "pile_set_name": "DM Mathematics" }
? -0.12 Let k = 2.5 - 2.33. Let m = -0.17000068 + k. What is m rounded to seven dps? -0.0000007 Let v = -0.05 - -47.05. Let m = v + -46.77. Let o = m + -0.247. What is o rounded to 2 dps? -0.02 Let y = -1.157 - -1.3. Round y to two decimal places. 0.14 Let q = -4 - -32. Let n = -20124641 - -20124668.999918. Let p = n - q. What is p rounded to 5 dps? -0.00008 Suppose h = 6*h - 10. Let i be (h + -2)/(-1 - 0). Suppose -3*a - 26700000 = -i*a. What is a rounded to the nearest one million? -9000000 Let r = -806 + -2137. Let n = 5057 - r. What is n rounded to the nearest ten thousand? 10000 Suppose o + 5514 = -30459. Let x = -55973 - o. What is x rounded to the nearest 10000? -20000 Suppose -3*x = -x. Suppose 0 = -2*q + 6 - x. Suppose 25208676 = q*y - 2*f + 308666, 3*y - 24899985 = -3*f. What is y rounded to the nearest one million? 8000000 Let g = -353 + 355.27. What is g rounded to 1 dp? 2.3 Let v = -593.99999471 + 594. Round v to seven dps. 0.0000053 Let w = -39 + -16. Let j = 55.029 + w. What is j rounded to two dps? 0.03 Let k = -282 - -166. Let j = -175803 - -175686.923. Let h = k - j. Round h to 2 dps. 0.08 Let v = 7.1 - 11. Let f = v + 3.33. Round f to one dp. -0.6 Let m be (-4800)/(((-24)/(-10000))/(1 - 4)). Round m to the nearest 1000000. 6000000 Let f = -18.17 + 18. Let b = -0.16999871 - f. Round b to 7 decimal places. 0.0000013 Let k = 439.836 + -441. Let g = -1.2 - k. Round g to 2 decimal places. -0.04 Let r = 42.99999886 + -43. Round r to seven dps. -0.0000011 Let n = -0.034829 + 0.035. What is n rounded to five dps? 0.00017 Let d(n) = 167*n - 5. Let s(r) = -r**2 + 2*r + 3. Let h be s(4). Let z be d(h). Round z to the nearest one hundred. -800 Let d = 568.486 + -569. Round d to two dps. -0.51 Let v = -13.943 + 14. Round v to two decimal places. 0.06 Let o = 0.08 - 0.087. Round o to 3 decimal places. -0.007 Let b = 8 - 7. Let a = b - 1.0000084. What is a rounded to six dps? -0.000008 Let j(l) = 2*l**2 + 6*l + 6. Let o be j(-3). Let i = o - 6. Round i to the nearest one hundred. 0 Let a = 54.6 - 4.6. Let s = 58 - 97.6. Let t = a + s. What is t rounded to the nearest integer? 10 Let j = -1128.9 - -1210. What is j rounded to the nearest 10? 80 Let b = 0.2088 - 0.21. What is b rounded to 3 dps? -0.001 Let b be (3 - -36)*93454/6. Let m = 1965232 + -3482683. Let z = m + b. What is z rounded to the nearest 100000? -900000 Let n = -950501048 - -950501073.00000095. Let g = 25 - n. Round g to seven decimal places. -0.000001 Let k = -1 + 7. Suppose -3*v + k*v + 5*p - 570010 = 0, v + 2*p - 190005 = 0. Let f be v/(-10) - (-2)/(-4). Round f to the nearest ten thousand. -20000 Let d = -581218383777490122.00000127 - -581218388642061555. Let p = 4864571396 - d. Let k = 37 + p. Round k to 7 decimal places. 0.0000013 Let z = -5.65 - 0.45. What is z rounded to zero dps? -6 Suppose 18*z - 20*z - 9000000 = 0. Round z to the nearest 1000000. -5000000 Let a(x) = 4791*x + 16. Let w(c) = 9583*c + 33. Let b(m) = 13*a(m) - 6*w(m). Let f be b(14). What is f rounded to the nearest 10000? 70000 Let a be 0/2 - (-3861)/3. Let q = a - 647. What is q rounded to the nearest 100? 600 Let v = -53.2 - -57.29. Round v to 1 dp. 4.1 Let q = 8.13 + -1.43. Let n = 12.5 + q. Round n to the nearest integer. 19 Let l(y) = y**3 + 9*y**2 + 5*y + 7. Let r(o) = o**2 + 8*o. Let m be r(-8). Suppose 3*z + 29 + m = -5*k, -2 = 2*k. Let s be l(z). Round s to the nearest ten. 30 Let o = -31.2 + 30.378. What is o rounded to one dp? -0.8 Suppose 3*f = -2*s + 25, 2*s = f + 12 + 9. Let p = 9 - s. Let z = 38 + p. What is z rounded to the nearest ten? 40 Let w = -215 + 220.62. Let x = 0.72 - w. Round x to zero decimal places. -5 Let q = -51468.130138 - -51297.13. Let j = -168.85 + -2.15. Let n = q - j. What is n rounded to five dps? -0.00014 Suppose 20 = 4*b - 0, 3*w - 3*b = -174615. Round w to the nearest ten thousand. -60000 Let y = -0.0000615 - 40.6182385. Let k = y - -40.6. What is k rounded to three decimal places? -0.018 Let m(p) be the third derivative of -35*p**6 - p**4/24 - 5*p**3/3 + 5*p**2. Let c be m(-10). Round c to the nearest 1000000. 4000000 Let o = 100 - 87.4. Round o to the nearest integer. 13 Let b = -1.49 + -0.11. Let q = b - -1.6016. Round q to three decimal places. 0.002 Let i be (-68)/(-28) + -2 - 9239997/(-7). Round i to the nearest one hundred thousand. 1300000 Let h = -24.19949984 - -24.2195. Let s = 0.02 - h. Round s to 7 dps. -0.0000002 Let h be (-8)/(-12) - (-3417494)/6. Let g(f) = -h*f**3 - 1 + 2*f - 848096*f**3 - 6882322*f**3. Let y be g(1). What is y rounded to the nearest one million? -8000000 Let o be 2/(-2)*-411*146. Suppose 2*v - o = l, -5*l + 2*l + 5*v = 180015. Round l to the nearest one hundred thousand. -100000 Let z = -0.617 + 0.65. Let f = -0.033023 + z. What is f rounded to 5 decimal places? -0.00002 Let u = 0.735 - 0.276. Let g = 0.45 - 0.1. Let s = u - g. Round s to 2 decimal places. 0.11 Let f = -0.6 - -0.68. Let u = f - 0.079975. What is u rounded to five dps? 0.00003 Let b = 0.35058 + -0.35. What is b rounded to 4 dps? 0.0006 Let a = -158.0000101 + 158. Round a to six dps. -0.00001 Suppose -3*v - 6*q - 137514272 = -q, 5*q - 91676173 = 2*v. Let t = v - -29938089. Round t to the nearest 1000000. -16000000 Let h = 65 + -65.00044. Round h to 4 dps. -0.0004 Let l = -2.6 + 0. Let y = l + 3.2. What is y rounded to zero dps? 1 Let a = 5.9 - -0.1. Let i = 24734.9998 + -24741. Let o = i + a. What is o rounded to three decimal places? 0 Let p = 25 + -18.84. What is p rounded to 0 dps? 6 Let c = -20.0046 + 20. Round c to three dps. -0.005 Let p = 1.1 - 1.09981. What is p rounded to 4 decimal places? 0.0002 Let r = 10 - 10.000022. Round r to five decimal places. -0.00002 Let w(l) = -l**2 - 7*l - 4. Let p be w(-6). Let a(d) = -d - 1. Let o be a(p). Let r be -300*(1 - 7/o). What is r rounded to the nearest 1000? -1000 Let l(u) = 386667*u + 5. Let s(x) = -773334*x - 9. Let f(h) = -11*l(h) - 6*s(h). Let r be f(3). Round r to the nearest one hundred thousand. 1200000 Let h = -2477.47 + 2522. Let s = -45 + h. Round s to one dp. -0.5 Let w = -2.8769 + 2.89. What is w rounded to 3 dps? 0.013 Suppose -2505 = 2*u - 3*r, 9*r - 11*r = 2*u + 2530. Round u to the nearest 100. -1300 Let p = -36 + 204. Let o = p + -167.999899. Round o to five dps. 0.0001 Suppose 0 = -5*b + 5*x, 0*x = 5*b + 4*x - 18. Let f(z) = 41*z**2 + 2*z - 3. Let c be f(b). Round c to the nearest ten. 170 Let r = -10.3804 - -10.1469442. Let w = r - -188.2255558. Let q = 188 - w. Round q to three dps. 0.008 Suppose 0 = -7*u + 3*u + 12560. Round u to the nearest 100. 3100 Let t = 1050644 + -450644. Round t to the nearest one million. 1000000 Let s = 0 + -3. Let u = 4.2 + s. What is u rounded to zero decimal places? 1 Let z = 0.17 + 22.83. Let p = -22.68 + z. What is p rounded to one decimal place? 0.3 Let k = -2.1 + 1.78. Let t = -202.11 - -203. Let j = t + k. What is j rounded to one decimal place? 0.6 Let y = -14547610269 - -14547609344.9826707. Let l = 912.01733 + y. Let g = l - -12. What is g rounded to seven dps? 0.0000007 Let p be (-118154)/(-6) + 1/(-3). Suppose n + 7201 = -3*m, -4*m - 6096 = n + 1108. Let k = p + n. What is k rounded to the nearest one thousand? 13000 Let i = 0.2 + -0.1. Let x = i + 0.9. Let u = x - 0.9944. What is u rounded to 3 decimal places? 0.006 Let y = 18.2 + 5.8. Let h = 685 + -660.42. Let i = h - y. What is i rounded to 1 dp? 0.6 Let f = -43.3 - -41. Let y = f - -2.299968. What is y rounded to five dps? -0.00003 Let j = 7.9 + -0.9. Let l = j - 6.6. Let n = l - 0.39999. What is n rounded to 5 decimal places? 0.00001 Suppose 3*j + h + h + 487 = 0, 0 = -5*h - 25. Let o = j + -71. Round o to the nearest 100. -200 Let c = 45.195 - 45. Let m = -0.001 + c. What is m rounded to two decimal places? 0.19 Let k = -4162157 - -9507361. Let s = -5345208.599954 + k. Let r = s + 4.6. Round r to five dps. 0.00005 Let l(q) = -30*q**2 + 2*q + 1. Let h be l(5). Let a = -1281 + h. Let r = -1370 - a. What is r rounded to the nearest one hundred? 700 Let a = 705.19 + -702. What is a rounded to the nearest integer? 3 Let x = 41307110 - 41307069.9999959. Let o = 0.015 - 40.015. Let h = o + x. Round h to 6 dps. 0.000004 Let z = 17.77 - 18. Let h = z - -117.23. Let x = h - 116.33. Round x to 1 dp. 0.7
{ "pile_set_name": "DM Mathematics" }
*g = 3*u + 942*g - 57, 4*g + 22 = u for u. 18 Solve 0 = -27943*z + 27942*z + 2*w + 13, -2*z - 5*w = -26 for z. 13 Solve z = -3*g - 4, -171*g + 4 = -z - 169*g for z. -4 Solve -646*p + 707*p + 246 = 2*k, -p = -k - k + 6 for p. -4 Solve 2*f + 2*f + 0*q + 117 = 3*q, -159 + 140 = f - 11*q for f. -30 Solve 0 = 5*n + 5*k + 301 - 36, -83*n + 22*k + 1166 = -87*n for n. 0 Solve -2*l + 5*l + 2*g - 11 = -30, -147*g - 136 = 26*l - 144*g for l. -5 Solve j = 2*s + 2*j - 4547 + 4544, -j = -s - 6 for s. -1 Solve -22*n + 8*n = -5*s + 490, -13*s + 12*s + 140 = -4*n for s. 0 Solve 0 = 4*t + 110*x + 1300, -2*t - 6*t + 34 = -3*t - 3*t - 2*x for t. 5 Solve 87*g + 12 + 11 = 3*b + 89*g, -34*b = -4*g - 154 for b. 5 Solve 0 = -55*q - 770, 3*w + 452*q - 447*q = -79 for w. -3 Solve -3*b - l + 18 = 0, -920*b + l + 18 = -917*b for b. 6 Solve 0 = -j - 4, 5*b - 2*j + 8*j + 4 = b + 10*j - j - 0*j for b. -4 Solve 406 = -5*w + 4*b, -35*b + 524 = -21*w - 38*b - 1102 for w. -78 Solve -4*y = -4*h + 20, 5*y - 277 + 569 - 215 = 18*h for y. -1 Solve o + 0*c - 5*c + 166 = 4*c - 4*c, 0 = -11*o + 4*c - 92 for o. 4 Solve -2*w = -3*q - 26, 2*w + 23 + 8 = -2*q - 3 for w. -5 Solve 3*q = -3*z + 12, 5620685 - 5620689 = z - q for z. 0 Solve -5*h - b + 3*b = 73, 2280 = 26*h + 5*b + 2213 for h. -3 Solve 4*i - 2*q + 10 = 0, 8*i = -5*q + 1862 - 1909 for i. -4 Solve 12*l = -17*b - 33*b + 49*b + 33, 4*l - 4*b = -28 for l. 2 Solve -4*w = -1558*b + 1626, -b + 0*b + 3*b - 3*w - 42 - 10 = b for b. 1 Solve -12 = -19*i + 19*i + 3*c, 66*i - 4*c + 2*c + 48 = 62*i for i. -14 Solve 3*z + 4*g + 18 = 0, 4*g - 50 = -0*z + 8*z + 42 for z. -10 Solve 3*n + 101*v + 3 = 104*v, -19*n - 59 = v for n. -3 Solve 4*u - 251 = 11*o, -140055*u = -o - 140059*u - 1 for o. -21 Solve 0 = 1867*w - 1862*w + 2*k - 60, 14*w + 4*k - 120 = 0 for w. 0 Solve -19*k + 10*k + 8*k - 56 = -17*c, 12*k - 15*k = 5*c for k. -5 Solve 3*x = -15, 31*x - 159 + 321 = -l for l. -7 Solve 0 = i - 3*b + 6, -9713*i + 9718*i - 3*b - 30 = 0 for i. 9 Solve 5312*t - 5315*t + 3 = -3*q, 4*q = 3*t - 7 for q. -4 Solve -2*p + 46 = -8*i, 3*p + 342*i - 79 = p + p + 354*i for p. -5 Solve 0 = 4*w - 5*h + 17, 90*w - 86*w = 17*h - 29 for w. -3 Solve 35182*i - 35246*i - 314 = 3*p, -12 = 2*i - p for i. -5 Solve -7*x - 136 = -6*c + 15*x - 12*x, -c + 5*x + 16 = 0 for c. 26 Solve -10868*v + 10872*v = -4*o + 4, -2*o - 3*v = -9 + 5 for o. -1 Solve -1309 + 1343 = 5*f - y, 9*f + y = 36 for f. 5 Solve -61158 = -4*b + 5*k - 61143, 4*b - 30 = 2*k for b. 10 Solve -5*x = 3*l + 54, 2619004 = 5*x + l + 2619012 for x. 3 Solve -8*d + 125 = -10*d - m + 119, -3*d + 11*m + 37 = m for d. -1 Solve 3*w - 106 = 5*i, -58*w = 268*i - 264*i - 1848 for w. 32 Solve -2*z + 31*p + 680 = 0, -129*p + 29 = -7*z - 130*p for z. -1 Solve 486*j + 2433 = -306*j + 239*j + 6*z - 2*z, 264 = -3*j - 3*z for j. -5 Solve -k + 42244*m - 42243*m - 6 = 0, 16 - 1 = 5*k + 5*m - 25 for k. 1 Solve -5*t = 979*b - 984*b - 170, 11*t + 102 - 490 = -3*b for b. 1 Solve 4*r + 5*x = -30, 39*x + 88 = -56*r + 54*r for r. -5 Solve -3 = -y, 51 + 4 = -50916*p + 50920*p - 3*y for p. 16 Solve 4*s = -3*q - 199 - 29, 4*s - 55 = -283 for q. 0 Solve r = -7*s + 159, -2192*r - 8*s = -2194*r - 188 for r. -2 Solve -2*c + 127 = -0*z - 31*z, -6 = 2*c + 2*z + 28 + 4 for c. -14 Solve -9 = 4*p - 47*a + 100*a - 52*a, -p = -a - 9 for p. 0 Solve 2*j + 34 = -1666*c + 1664*c, 2*j + j = 0 for c. -17 Solve -70*r = -38*r + 128, -2*c + r = -8*c - r - 2 for c. 1 Solve 192737*v - 192741*v = s, 4*v + 2*s = 4 for v. -1 Solve 18 + 11 = 3*o - 2*q, -73*o + 64 = -77*o - 2*q for o. -5 Solve 0 = 2*x + 5*q - 846477 + 846476, 4*q = -4*x - 16 for x. -7 Solve -2*p = -p + 151*r + 156, 28*p - 2*r + 3 = 27*p for p. -5 Solve -2*g + 0*g + 4*z = -86, 0 = 24*g - 3*g + 4*z - 29 for g. 5 Solve 7*y + 0*m - 819 + 1215 = 2*m + m, -5*y - 288 = 3*m for y. -57 Solve -9*j + 4*a = -43, -2*a + 45 = -485*j + 488*j - 11*a for j. 3 Solve 4*m + 3*y + 2*y - 4*y - 49 = 0, 2*m - 221 + 214 = 3*y for m. 11 Solve 3*v + 5*k - 32 = 0, 1306*v = 1304*v + 4*k - 8 for v. 4 Solve -3*o - 1189*k + 1188*k + 20 = 0, 13*o - 4*k - 19 + 99 = 0 for o. 0 Solve -6*o + 126 = -5*x - 2*o + 171, -18 = -2*x + 4*o for x. 9 Solve -1281*a + 2 = 5*j - 1284*a, 0 = -4*j + 5*a + 12 for j. -2 Solve -5*z - 13 = 3*w - 4*w + 8, -2*w + 0*w - z = 2 for w. 1 Solve 506*k = 2*s - 5*s - 2*s + 508*k - 30, 8 = s + k for s. -2 Solve -5*y + 3*r - 4690 = -4697, 3*r = 9*y - 15 for y. 2 Solve 13*d + 12*d = -5*a - 10, -23 + 33 = 3*a + 16 for d. 0 Solve 0 = -2*a + x + 2, 14*x + 58 + 69 = -2*a + 159 for a. 2 Solve -2021*u + r = -2060*u - 142, -2*u + 3*r = 50 for u. -4 Solve 203 + 212 - 447 = -4*i, 14 = 5*v - 2*i for v. 6 Solve -63*v + 6*w - 41 = -75*v + w, -2*v - 5*w = -11 for v. 3 Solve -7*l = 4*z + 93, -2527 - 2520 = 4*l - z - 5007 for l. -11 Solve -80 = 342*y - 338*y - 5*h, -23*h = -3*y - 368 for y. 0 Solve -f = x - 3, 25116*x + 6*f - f = 25145*x + 151 for x. -4 Solve -35461198*w + 35461195*w = 9, 0 = z + 5*w + 43 for z. -28 Solve 35*d + 2*l = 39*d - 84, -l = -0*d - d + 37 for d. 5 Solve r = 5*v + 14, -572*r = -571*r - 2*v - 5 for r. -1 Solve -23200*o + 5*v + 25 = -23205*o, 0 = -4*o - v - 29 for o. -8 Solve -c - 78 = -27*y, -4*c + 15 = 1148*y - 1147*y for c. 3 Solve -4*c - 55 = 4*d + 1, 1 + 3 = -d - 0 for c. -10 Solve 4*p + 11*i - 57 + 28 = 4*i - 50, -2*p + 13*i = 27 for p. -7 Solve -3*u - 79 = g - 123, -194*g = -u - 5621 for g. 29 Solve -6*p = -6*s + 48, -1095*s + 16 = -2*p - 1091*s for p. -8 Solve l + 11818*r + 41 = 11815*r, 2*r = 5*l - 16 for l. -2 Solve 27*f - 4*m + 602 = 32*f - 61*m, 0 = -4*f - 3*m - 53 for f. -5 Solve -20 = 4*v, -614*v + 13 = -4*f + 617*v - 1224*v for f. -12 Solve 3*c - 11*c = -2*k - 74, 2*k + 5*c + 14 = c for k. -17 Solve 16939*d + 4 = -4*x + 16937*d, -70 = 7*d for x. 4 Solve f = -3*f + 4*h + 4, -3*h + 252 = 5*f + 247 for f. 1 Solve -11266*o + 11268*o = -3*n - 45, -6*o - 5*n - 83 = 0 for o. -3 Solve -101460*q + 2*d - 29 = -101467*q, -q + 4*d - 43 = 0 for q. 1 Solve 4*m - 67 + 23 = 3*r - 0*r + r, -r = 207*m - 613 for m. 3 Solve 4*x + 5*r = -38, r + 37 = -x - 53 + 81 for x. -7 Solve s + 12*d - 3*d = -32, 3*s - 857 = -4*d - 884 for s. -5 Solve -7*h = -14*h + 10*h + 36, h + 4*h = 41*u + 104 for u. -4 Solve 1670*a - 1672*a = 2*n - 4, -2*a + 13 = -7*n for n. -1 Solve -27*j + 52677 = -4*n + 52153, 6*j = 120 for n. 4 Solve -y + 55*s + 20 = -2*y + 58*s, 0 = 5*y - 4*s + 122 for y. -26 Solve z + 59 = -z + 61, 2*v - 4*z = -16 for v. -6 Solve 118*v - 114*v + 2*r = 30, v - 33 = -v + 5*r for v. 9 Solve 27*w + 23 + 100 = 3*b - 11*w, -4*w = -4*b + 24 for b. 3 Solve -65*o + 8 + 61 = 2*s, 5*s - 126*o = -130*o + 14 for s. 2 Solve 4*b + k + 32 = 0, -3*b - k + 23*k + k - 89 = 27*k for b. -3 Solve 1403*d + 1406*d - 2802*d + 2*f + 14 = 0, 4*d = -4*f + 3 + 9 for d. -4 Solve 29*b + 160 = -a, 1136*a + b + 92 = 1134*a for a. -44 Solve -k + 155 + 2531 = -61*h, 0 = 5*k + 3*h + 122 for k. 2 Solve -11719*z + 11717*z - r + 6*r + 0*r = -r + 30, 0 = -4*r + 28 for z. 6 Solve 0 = -4*u, 517*y = 495*y + 19*u - 14*u for y. 0 Solve -4*l - 636 = m - 683, -5*m = 177*l - 1962 for m. 3 Solve 4*k = 4*o - 4, 1108*k - 1104*k + 26*o + 64 = 0 for k. -3 Solve 3*t - 414 = 84*p, 8*p + 65 - 17 = -4*t for t. -2 Solve -105*f - 230*m - 128 = -110*f + 187*m - 375*m, f = 3*m + 4 for f. -8 Solve 12 = 2*y - 183*q + 188*q, 36*y - 18 = 33*y + 4*q for y. 6 Solve j = 8*c - 11, 30 = 170294*c - 170288*c for j. 29 Solve w + 6*r - 24 = 0, -4*w + 162*r - 6 = -6*w + w + 165*r for w. 12 Solve 85 = -5*h - 267*p + 289*p, 0 = p - 5 for h. 5 Solve -4*k = 4*j + 15383 - 15391, -10*k - 20 = 2*j for k. -3 Solve 8*r = -p + 67, 5*p = 350*r - 354*r + 11 for r. 9 Solve 0 = -10*r + 6*r + 2*o + 2*o + 61 - 3 - 6, 3*r + 123 = -6*o for r. -5 Solve t - 13 = -4*q, -1876*t + 18*q - 59 = -1881*t for t. 1 Solve 0 = 3*v - 29*h + 1740, -4*v + 21*h = 19*h - 3*h - 0 + 300 for v. 0 Solve -5*g + 56*h - 2 + 2 = 25*h + 26*h, 6*g - 4*g + h = 0 for g. 0 Solve 1400536*n - 1400546*n = -5*x - 80, n = 4 for x. -8 Solve 33*s - 120 = -5*x + 35*s, -3*x = 380*s - 383*s - 63 for x. 26 Solve 2*d - 65 = -2341*o + 2336*o, 0 = -3*d + 6*o + 30 for d. 20 Solve -5*t + 151 = 26*z, 1 = t - 2*z - 22 for t. 25 Solve -5*i - 336 = 87*n - 91*n, 8*n - 1 = 7*n + 2*n for i. -68 Solve 0*v + 69 - 22 = -3*f + 5*v, 98 = -10*f + 2*v for f. -9 Solve 2*
{ "pile_set_name": "DM Mathematics" }
0 + t**2. What is z(3)? 5 Let y(a) be the third derivative of a**5/60 + 7*a**4/24 - 2*a**3/3 + 2*a**2 - 16*a. Give y(-8). 4 Let y(p) be the first derivative of -3*p**4/4 + p**3/3 + p**2 - p - 717. Let k be (-18)/(-8) - (-3)/(-12). Calculate y(k). -17 Let s(z) = 2*z - 3*z + 6*z - 2*z. Let p(b) = b - 6. Let w(i) = 10*i - 65. Let m(t) = -65*p(t) + 6*w(t). Let o(x) = 5*m(x) + 8*s(x). Give o(-4). 4 Let f(q) = -q**2 + 6*q + 2. Let w be 6 + (2 - (4 - 0)). Let n be 8/(-12) - w/(-6). Suppose 0 = -2*j + 7 + 1, n = -4*d - 3*j + 32. Determine f(d). 7 Suppose -247 + 415 = -21*y. Let f(g) = 6*g + 32. What is f(y)? -16 Suppose -67*r + 6 + 128 = 0. Let h(m) be the second derivative of 1/12*m**4 + 3*m**r + 0 - m**3 - 11*m. What is h(5)? 1 Let o = -4 - -7. Let q(i) be the second derivative of -1/2*i**2 - 2*i + 1/3*i**3 + 0. Give q(o). 5 Let i(y) be the second derivative of -y**5/20 + 5*y**4/6 + y**3/3 - 13*y**2/2 + 381*y. What is i(10)? 7 Let y(p) = -843*p**2 - 5 - 3 + 6*p - p**3 + 841*p**2. Determine y(-4). 0 Let n be 2 + -2 + 14/2. Let r = 70 - -113. Let j(m) = -8 + 7*m**2 - 90*m - m**3 + r*m - 92*m. Give j(n). -1 Suppose j = -2*d + 5*d, 2*j = -4*d. Let b(m) = -m**2 - m. Let k(l) = -5*l**2 - 7*l + 1. Let p(r) = 6*b(r) - k(r). What is p(j)? -1 Let h(c) = -4*c**2 - 2. Suppose 4*v - 6 = 5*l - 3*l, v - 5 = -3*l. What is h(v)? -18 Let q(c) = -c + 29. Let v(r) = r - 5. Let p(l) = -q(l) - 2*v(l). Give p(-8). -11 Let v(l) = -l**3 + 2*l**2 - 4*l + 3. Let t = -4 - -8. Suppose -2*p = 2*p + 2*j - 4, 0 = p + 5*j + 17. Suppose p*q - t = q. Give v(q). -5 Let w(s) = 3*s - 25 + 4 + 8 + 7 + s**2. Give w(-8). 34 Let n(t) be the first derivative of t**2/2 + 2*t - 3. Let l(i) = -1. Let w(p) = 2*l(p) + n(p). Calculate w(5). 5 Let c(y) = 17*y - 3. Let h(b) = 1. Let i(v) = -c(v) - 2*h(v). Let a = 61 - 60. Give i(a). -16 Let w(v) = -4*v - 8. Let q(h) = -39*h - 226. Let z be q(-6). What is w(z)? -40 Let s(w) = -w**2 - 5*w - 4. Let t(h) be the first derivative of h**3/3 + 5*h**2/2 + 4*h + 13. Let g(l) = 4*s(l) + 3*t(l). Give g(-3). 2 Suppose 0 = 5*j + 20, 3*y - 9*j + 13*j + 31 = 0. Let p(z) = -3*z - 13. Calculate p(y). 2 Let y(f) be the second derivative of -3*f**5/20 - f**4/4 - f**3/6 - f**2/2 - 33*f - 2. Determine y(-2). 13 Let w(v) = -3*v - 9. Let i = 497 - 505. Determine w(i). 15 Let r(j) = 3*j + 6. Let b(c) = -1. Let a(i) = -4*b(i) - r(i). What is a(-7)? 19 Let m(a) = 0*a + 1 + 3*a - 5*a + 3*a. Let p(r) = -6*r + 5. Let v(w) = -6*m(w) + p(w). Calculate v(1). -13 Suppose -2*a + 16 = -4*z - 6*a, a = -3. Let p(u) = u**3. Let n(r) = 2*r**3 + 3*r**2 - 3*r + 1. Let s(y) = z*p(y) + n(y). Determine s(-4). -3 Suppose -2*t = 4*r - 10, -90 + 15 = -4*t + 3*r. Let b(g) = g**2 - 16*g + 9. Give b(t). -6 Let s(x) = -3*x + 52*x**3 + x**2 - 2*x + 3 - 55*x**3 + x + 0*x**2. What is s(2)? -25 Let z(k) = k**3 - 6*k**2 - k + 5. Let m = 48 + -54. Let u = m - -12. Give z(u). -1 Let o(k) be the first derivative of -16 + 4*k - 1/3*k**3 - k**2. What is o(-3)? 1 Let i(l) = l**2 + 2*l - 6. Suppose -3*n + 5*n - 52 = 0. Let z = n - 26. Suppose -7*d + 6*d - 5 = z. What is i(d)? 9 Let u(r) be the third derivative of -r**5/60 + 7*r**4/24 - 3*r**3/2 - 130*r**2. Determine u(6). -3 Suppose p + 5 = 3*o, 2*o - 7*o + 35 = 5*p. Suppose -9 = -o*x - 0. Let m(g) = 3*g + 2*g**2 - x*g**2 - 7*g + 3*g - 3. Calculate m(0). -3 Let x = 0 - 5. Let t(a) be the third derivative of -a**4/24 - 50*a**2. Determine t(x). 5 Let i(p) = -p**3 - 31*p**2 + 31*p - 42. Let q be i(-32). Let x(m) = -m**3 - 9*m**2 + 13*m + 2. Calculate x(q). -28 Let k be 0 - (-3 - -3 - 2). Let j(m) = m - k*m - m + m. Determine j(-4). 4 Let s(y) = -8*y**2 + 5*y - 53. Let z(j) = 15*j**2 - 11*j + 124. Let b(a) = 7*s(a) + 3*z(a). Let o be (0 - 0) + -1*1. What is b(o)? -12 Let d(w) = -4*w**3 + 4*w**2 - 19*w + 2. Let k(n) = n**3 + 5*n - 1. Let o(m) = -d(m) - 3*k(m). What is o(3)? 4 Let u = 6 + -94. Let t = u - -86. Let d(o) be the first derivative of 3*o**2 + o - 1. Determine d(t). -11 Let a(h) = -h**3 - 3*h**2 + 6*h + 3. Let n be (-2)/(((-12)/(-36))/(2/3)). Determine a(n). -5 Let y(o) be the second derivative of -1/3*o**3 + 1/2*o**2 + 6*o + 0. Give y(-4). 9 Let g(m) = -3*m - 3. Let w(q) = -q - 1. Let f(s) = 2*g(s) - 7*w(s). Suppose 2*o + 29 = -5*t, o + 13 + 0 = -2*t. Give f(o). -6 Let o(y) = -5*y**3 + 9*y**2 - 8*y + 8. Let s(a) = -8*a**3 + 10*a**2 - 9*a + 9. Let c(h) = 3*o(h) - 2*s(h). What is c(-8)? -10 Suppose 5*z + 80 = -5*m, 0 = -z - 3*z - 3*m - 64. Let k = -16 - z. Let t(x) = -2*x + k*x**2 - 2*x**2 - 4 + x**2. Calculate t(-4). -12 Let g be 46/6 - 54/81. Let l(f) = -f**2 + 5*f - 7. Give l(g). -21 Let z(n) be the first derivative of n**3/3 - 5*n**2 + 6*n + 44. Determine z(11). 17 Let f = -64 + 141. Let q(w) = -7*w - 4. Let o(j) = -133*j - 77. Let h(x) = f*q(x) - 4*o(x). Let n(t) = t**2 - 10*t - 10. Let s be n(-1). Give h(s). -7 Let c(z) = -77*z + 28*z + 30*z - 5 + 20*z. Let i be 4 + 2 + (-1)/1. Calculate c(i). 0 Let q be (-4)/(-18) + 190/(-45). Let v be 6/q - 496/32. Let h = -16 - v. Let o(r) = -8*r**2 + r - 1. Calculate o(h). -8 Let z(a) = -a**2 - 12*a - 5. Let r be z(-9). Let w = r - 14. Let f(j) = -j**3 + 8*j**2 + 4. Calculate f(w). 4 Suppose 2*x = -8, -13*x = t - 16*x - 14. Let b(k) = -8*k + 6. Give b(t). -10 Suppose -t - 3*c + 32 = 4*t, -2*t + 2*c = 0. Suppose -9*x - 25 = -t*x. Let w be (6/x)/((-1)/(-5)). Let l(r) = -2*r - 6. What is l(w)? 6 Let t be 4*4/(-2) + 1. Let a(h) = h**2 + 2*h + 4779671 - 4779676 + 2*h. Calculate a(t). 16 Let j(v) = -3*v**2 + 4*v. Let b(i) = -i**2 - i. Let k(z) = -4*b(z) + j(z). Let d(p) = p - 3. Let o be d(-3). What is k(o)? -12 Let o(p) = p**2 - 7*p + 10. Let q be o(3). Let m(r) = 5*r + 46. Let k(g) be the first derivative of -g**2/2 - 9*g + 1. Let b(y) = q*m(y) - 11*k(y). Give b(0). 7 Let n(o) = -o**3 - 8*o**2 - 7*o + 4. Suppose 0 = -v - 8 + 1. Let j be n(v). Let h = j - -2. Let l(c) = c**2 - 5*c - 1. Calculate l(h). 5 Let u(n) be the third derivative of -n**5/60 + n**4/12 + n**3/6 + 7*n**2. Let g(f) = -f**2 + 4*f + 3. Let m be g(4). Give u(m). -2 Let s(r) be the third derivative of r**4/8 - r**3 - 3*r**2. Let w be s(4). Let d(p) be the second derivative of p**3/6 + 23*p. Determine d(w). 6 Let i(p) = -p + 19. Let o be i(22). Let k(j) = j**3 + 5*j**2 + 6*j + 6. Let f be k(o). Let q(b) = -b**3 + 6*b**2 - 8. Determine q(f). -8 Let z(h) be the second derivative of 0 + 12*h + 0*h**3 + 1/2*h**2 - 11/12*h**4. Give z(1). -10 Suppose 0 = 3*x - 9 + 21. Let w(k) = 1. Let v(c) = -4*c - 11. Let z(b) = x*w(b) - v(b). Give z(-6). -17 Let w be (-17 - 350/(-20))*2. Let a(b) = 2 - 7*b**3 - 2*b**3 - 3. Give a(w). -10 Let i(v) be the third derivative of 5*v**4/6 - v**3/3 - 6*v**2. Let u be i(1). Suppose 8 = 2*p + u. Let l(a) = a**3 + 4*a**2 - 5*a + 5. Determine l(p). 5 Let b(u) = 5*u + 6*u - 4*u - 3*u - 3*u. Let r(m) = -m**2 - 4*m + 3. Suppose t + 3*t - p - 1 = 0, 3*p = -4*t - 19. Let w(q) = t*r(q) - 3*b(q). Determine w(0). -3 Let m(s) be the third derivative of -1/6*s**3 - 9*s**2 + 0 + 0*s - 1/24*s**4. Give m(-1). 0 Let w(y) be the third derivative of y**5/60 + y**4/6 - y**3/6 + 323*y**2. What is w(-7)? 20 Let l(p) = 2*p**2 - p. Let d = 35 + -35. Suppose j + 2*m = -7, -2*m + 1 - 7 = d. Determine l(j). 3 Let c(w) be the first derivative of -w**4/24 + w**3/3 - 47*w**2/2 - 42. Let t(v) be the second derivative of c(v). Determine t(6). -4 Suppose 4*n + 24 = -0. Let x(p) = -6*p - 10*p + 17*p. Calculate x(n). -6 Let p(w) = w**2 - 22*w + 43. Let t be 40*(-8)/12*(-3)/4. What is p(t)? 3 Let j(z) = 2*z**2 + 2*z + 4. Let l be j(3). Let i = 31 - l. Let q(h) = h**2 + h - 1. Let u(m) = 3*m + 3. Let f(p) = -q(p) + u(p). Give f(i). 1 Let l(w) = -2 - 3*w + 0 + 0 + 1. Calculate l(-9). 26 Let q(v) = 2*v**3 + 9*v**2 + 9*v + 11. Let w(h) = -h**3 - 2*h**2 + h - 2. Let d(r) = q(r) + w(r). Calculate d(-6). -15 Suppose -3*l + 64 - 4 = 0. Let g(c) = -10*c - 9 - 2 + l - 8. What is g(-1)? 11 Let w be (-8)/3*(-18)/12. Let b(i) = 6*i**2 - i. Let c(x) = -x**2 - 1. Let q = 4 - 9. Let t(a) = q*c(a) - b(a). What is t(w)? -7 Let l = -163 + 327/2. Let v(n) be the second derivative of 4*n - 2*n**2 - 1/12*n**4 + 0 - l*n**3. Give v(-3). -4 Let y(a) be the first derivative of -11 + a + 3/2*a**2 + 2/3*a**3. What is y(-3)? 10 Let c(o) = 14*o**2 - 6*o + 7. Let j(p) = 24*p**2 - 12*p + 12. Let
{ "pile_set_name": "DM Mathematics" }
Round 227.6 to the nearest 10. 230 What is 0.5004 rounded to three dps? 0.5 What is 5577 rounded to the nearest one thousand? 6000 What is -0.0000055 rounded to 6 dps? -0.000006 What is -479570 rounded to the nearest one thousand? -480000 What is 4.0799 rounded to 0 decimal places? 4 What is -6.3 rounded to the nearest 10? -10 Round 713900 to the nearest 10000. 710000 What is 351177 rounded to the nearest ten thousand? 350000 Round 748600 to the nearest one hundred thousand. 700000 What is -0.2041 rounded to 2 decimal places? -0.2 What is -15790 rounded to the nearest 1000? -16000 What is 0.003586 rounded to four decimal places? 0.0036 What is 0.00005717 rounded to six dps? 0.000057 Round 2371.1 to the nearest 100. 2400 Round 0.00464174 to five dps. 0.00464 Round 0.0000456 to 5 dps. 0.00005 Round -0.0000046888 to 7 decimal places. -0.0000047 What is -0.007631 rounded to 3 decimal places? -0.008 Round 0.00415 to 3 dps. 0.004 What is 138.19 rounded to 0 decimal places? 138 What is -0.0004202 rounded to six decimal places? -0.00042 Round -0.0017169 to four dps. -0.0017 What is 52109 rounded to the nearest 1000? 52000 Round 0.00761 to three decimal places. 0.008 Round -163.5 to the nearest integer. -164 What is -0.004545 rounded to 4 dps? -0.0045 Round -0.000000664143 to 7 decimal places. -0.0000007 What is -0.0018428 rounded to 5 dps? -0.00184 What is -0.022514 rounded to two dps? -0.02 Round -4810 to the nearest 100. -4800 Round -12.4455 to 1 dp. -12.4 What is 388.1 rounded to the nearest 100? 400 Round -0.0016858 to 5 dps. -0.00169 Round 0.0007757 to six dps. 0.000776 Round -62.074 to the nearest 10. -60 Round 3.792 to the nearest integer. 4 What is -73.8 rounded to the nearest integer? -74 Round -117275 to the nearest one hundred. -117300 What is 0.00323 rounded to 3 decimal places? 0.003 What is 0.004248 rounded to 4 dps? 0.0042 Round 6998000 to the nearest 100000. 7000000 What is -0.00000068206 rounded to seven decimal places? -0.0000007 Round 2671.7 to the nearest ten. 2670 Round 6.9 to the nearest integer. 7 Round 0.000004252 to 7 decimal places. 0.0000043 Round -5183800 to the nearest 100000. -5200000 What is -2320 rounded to the nearest 100? -2300 Round 0.0000095 to 5 decimal places. 0.00001 What is -0.0000055432 rounded to 6 decimal places? -0.000006 Round -0.0718 to two dps. -0.07 What is 0.001193 rounded to 4 decimal places? 0.0012 Round -0.017403 to 4 dps. -0.0174 Round -19.4 to the nearest ten. -20 What is 71.135 rounded to the nearest ten? 70 What is 4.41 rounded to one dp? 4.4 Round 640000 to the nearest one hundred thousand. 600000 Round -0.1974 to 2 dps. -0.2 What is 0.0056 rounded to two decimal places? 0.01 Round -0.00009952 to 6 dps. -0.0001 What is -138900 rounded to the nearest 10000? -140000 What is 0.0005408 rounded to 4 dps? 0.0005 What is 164520 rounded to the nearest 1000? 165000 What is 46.3 rounded to the nearest 10? 50 What is 10.276 rounded to two decimal places? 10.28 Round 0.000007599 to seven dps. 0.0000076 What is 7.13 rounded to the nearest ten? 10 What is -1469 rounded to the nearest one hundred? -1500 Round 4.5 to 1 dp. 4.5 What is -0.00000589 rounded to 6 dps? -0.000006 What is -5044 rounded to the nearest one hundred? -5000 What is 1.1663 rounded to two dps? 1.17 Round -1555920 to the nearest 100000. -1600000 What is 571820 rounded to the nearest 100000? 600000 What is 46.5 rounded to the nearest 10? 50 Round -4412000 to the nearest 1000000. -4000000 Round -60113000 to the nearest one hundred thousand. -60100000 Round -0.00001867 to 5 decimal places. -0.00002 What is -96600 rounded to the nearest one thousand? -97000 What is 0.0008642 rounded to 4 dps? 0.0009 Round -29190 to the nearest ten thousand. -30000 Round 0.001536 to 5 decimal places. 0.00154 Round 0.009924 to 4 dps. 0.0099 What is -0.95512 rounded to one dp? -1 What is -8.186 rounded to 1 dp? -8.2 Round -13190000 to the nearest one million. -13000000 Round -0.000004393 to seven decimal places. -0.0000044 Round 0.00000032128 to 7 dps. 0.0000003 What is -0.0004954 rounded to five dps? -0.0005 What is -88705 rounded to the nearest 10000? -90000 Round 0.003147 to 5 decimal places. 0.00315 What is 0.678 rounded to one dp? 0.7 Round -810200 to the nearest ten thousand. -810000 Round -0.00001387 to 7 decimal places. -0.0000139 Round -99000 to the nearest 100000. -100000 What is -0.000000249 rounded to seven dps? -0.0000002 Round 0.7301 to 1 dp. 0.7 What is -57600 rounded to the nearest ten thousand? -60000 Round 26600 to the nearest 10000. 30000 What is 67400000 rounded to the nearest 1000000? 67000000 Round -8858600 to the nearest one million. -9000000 What is 0.0039989 rounded to four decimal places? 0.004 Round -0.24945 to 2 dps. -0.25 What is -0.035458 rounded to three decimal places? -0.035 What is -3.02 rounded to 0 dps? -3 Round -0.0000074463 to six dps. -0.000007 What is 141.38 rounded to the nearest integer? 141 Round 0.0000007347 to 7 decimal places. 0.0000007 Round 1664400 to the nearest one hundred thousand. 1700000 What is 97665 rounded to the nearest 1000? 98000 Round -86920000 to the nearest 1000000. -87000000 Round -1.79535 to three dps. -1.795 Round -0.000094 to four decimal places. -0.0001 What is -0.0061353 rounded to 3 dps? -0.006 Round -0.4089 to one dp. -0.4 What is -0.0005513 rounded to four decimal places? -0.0006 Round -44960 to the nearest 10000. -40000 What is 0.3064 rounded to 2 decimal places? 0.31 What is 28800000 rounded to the nearest 1000000? 29000000 What is 0.0242 rounded to two decimal places? 0.02 Round -0.5146 to 1 decimal place. -0.5 What is 0.00007246 rounded to five dps? 0.00007 What is -339.1 rounded to the nearest 10? -340 Round -163000 to the nearest ten thousand. -160000 What is 0.01209 rounded to three dps? 0.012 Round -0.0021009 to 5 dps. -0.0021 What is -44 rounded to the nearest integer? -44 What is -5650 rounded to the nearest 1000? -6000 Round 2296000 to the nearest one hundred thousand. 2300000 Round -0.0067623 to 4 dps. -0.0068 What is -0.004853 rounded to 3 decimal places? -0.005 What is -0.0006546 rounded to five decimal places? -0.00065 What is -0.000004084 rounded to five decimal places? 0 What is 25190 rounded to the nearest one thousand? 25000 What is -2.011 rounded to one decimal place? -2 Round 90505.9 to the nearest 10000. 90000 What is -8388 rounded to the nearest 1000? -8000 What is 0.005609 rounded to four decimal places? 0.0056 What is 0.001761 rounded to three decimal places? 0.002 Round -29.479 to the nearest ten. -30 Round 0.764 to one dp. 0.8 Round -0.006527 to 3 decimal places. -0.007 Round -9410 to the nearest one thousand. -9000 What is 0.0000006659 rounded to seven dps? 0.0000007 What is -0.00003716 rounded to 6 dps? -0.000037 Round -1471.6 to the nearest one hundred. -1500 What is -0.34346 rounded to two dps? -0.34 Round 0.000070126 to six decimal places. 0.00007 Round -6875000 to the nearest one million. -7000000 Round 2305300 to the nearest 100000. 2300000 What is 140.82 rounded to the nearest 10? 140 Round 0.000005001 to seven dps. 0.000005 Round 1040700 to the nearest 100000. 1000000 Round -4196000 to the nearest 100000. -4200000 What is -0.00003449 rounded to 5 decimal places? -0.00003 What is -0.013994 rounded to 2 dps? -0.01 What is -0.000005505 rounded to 7 dps? -0.0000055 Round 1980000 to the nearest one million. 2000000 What is -0.000003905 rounded to six dps? -0.000004 What is -208500 rounded to the nearest ten thousand? -210000 What is -0.026382 rounded to three decimal places? -0.026 What is 1296000 rounded to the nearest one hundred thousand? 1300000 What is 62100 rounded to the nearest 10000? 60000 What is 0.0000016847 rounded to 7 decimal places? 0.0000017 What is 0.00003986 rounded to 6 decimal places? 0.00004 What is -5532 rounded to the nearest 1000? -6000 What is 0.0023429 rounded to four decimal places? 0.0023 What is -19.26 rounded to the nearest integer? -19 Round 315.89 to the nearest ten. 320 What is 0.00001666 rounded to five dps? 0.00002 What is 0.02026 rounded to four dps? 0.0203 Round 0.0010714 to four decimal places. 0.0011 Round 11841000 to the nearest one million. 12000000 Round 313651 to the nearest one thousand. 314000 What is -3.28751 round
{ "pile_set_name": "DM Mathematics" }
he third biggest value? (a) -4 (b) -0.0564 (c) -15 c What is the smallest value in 2/5, 3/929, -5, -3? -5 What is the third biggest value in 5, 0.14, -2/13, -3, -1, -2/3? -2/13 Which is the fourth smallest value? (a) -0.07 (b) -1 (c) 28/41 (d) -2/17 (e) -3 a Which is the third biggest value? (a) -2/15 (b) -109 (c) -137/5 b Which is the second smallest value? (a) -6/25 (b) 2/33 (c) 0.3 (d) -0.006 d Which is the smallest value? (a) -5 (b) 4/1214357 (c) -2 a What is the third biggest value in -2, -3, -2/3, -76, 1/5, 0.02? -2/3 Which is the second smallest value? (a) 0.202 (b) 5 (c) -1/293 (d) 2/17 (e) -1/8 c What is the second smallest value in -2/3, 84, -11, -4, -0.3? -4 What is the third smallest value in 0.02, -1, -893? 0.02 What is the third biggest value in -0.4, 0.4, -986? -986 What is the third smallest value in 3/5, -55, 47, 1, -1/10, 4? 3/5 What is the biggest value in 3/4, 23, -9, 3/524, -1? 23 Which is the second biggest value? (a) 0.088 (b) 2/19 (c) 5 (d) -0.2 (e) 0.06 (f) -1 b Which is the third biggest value? (a) 3 (b) -4175/6 (c) 0 b Which is the biggest value? (a) 305018 (b) -4 (c) 0.4 a Which is the sixth smallest value? (a) 0.06 (b) 1 (c) 1/8 (d) -354 (e) 2 (f) 0.11 e What is the third biggest value in -5, -44/3, -1/4, 0.2, -0.029? -1/4 What is the second smallest value in -36, -2/5, -2, -2/7, -100? -36 What is the fourth biggest value in -1.03, 4/105, -1, 2? -1.03 What is the second biggest value in -11, -6, -340, -4? -6 Which is the second smallest value? (a) 601 (b) 3 (c) 3/8 (d) 1/4 c Which is the smallest value? (a) -0.181 (b) -158 (c) 0 b Which is the third smallest value? (a) 4.467 (b) 0.2 (c) 1 a What is the second biggest value in 0.7, 3, -0.4, 8, -0.048, -7? 3 Which is the smallest value? (a) -4 (b) 74 (c) 46 (d) 3/7 a Which is the third biggest value? (a) 413.1 (b) -5 (c) 6 b What is the third smallest value in -1.69, -5, -11/6, -0.02? -1.69 What is the biggest value in 3/7, 1/5, 0.58, -0.4, 104, 0? 104 Which is the fourth biggest value? (a) -638 (b) -26 (c) -0.69 (d) 1/2 a Which is the third biggest value? (a) 0.6 (b) -2/9 (c) 33/5 (d) -0.15 (e) 3 (f) 0.4 a Which is the smallest value? (a) 0 (b) 69 (c) 1.229 a What is the second biggest value in 2/9, -112, 5, -0.4, -2/7? 2/9 Which is the fourth biggest value? (a) -2 (b) 2/85 (c) -0.3 (d) 0.1 (e) -0.1 (f) -3/43 e Which is the fourth biggest value? (a) 1/48 (b) 1 (c) 0 (d) -4 (e) -3 e Which is the third biggest value? (a) -1.6 (b) 1 (c) 11 (d) 0.3 d What is the third biggest value in 0.03, 906, -0.1? -0.1 Which is the smallest value? (a) 15/7 (b) 4 (c) 55.8 (d) 0.09 d What is the second smallest value in 3/2, -1/12, 2/11, 1/3, 276? 2/11 Which is the second smallest value? (a) -4/7 (b) -6975 (c) 0.2 (d) 4 a What is the third smallest value in 5/2, -0.09, -2/7, 86/35? 86/35 What is the third smallest value in 0.049, -1, -7/4, -3, -1/7, -68? -7/4 Which is the second biggest value? (a) 0.1 (b) 1/87 (c) 58 (d) 5 (e) -0.5 d What is the third smallest value in -13/3, 5, 1, -2/109? 1 What is the second biggest value in -1/7, -14, -22? -14 Which is the fifth biggest value? (a) -5 (b) -14 (c) -1 (d) 0.2 (e) -0.08 b What is the smallest value in -1/57, 11, 182? -1/57 Which is the fourth smallest value? (a) -6/23 (b) -0.5 (c) 0.4 (d) 0.1 (e) -8 d Which is the biggest value? (a) -4 (b) 0.2 (c) -16371 b Which is the biggest value? (a) 1.5 (b) 11 (c) -1 (d) -2 (e) -1.5 (f) -5/43 b Which is the sixth smallest value? (a) 0.4 (b) -1/2 (c) 108 (d) -8 (e) 1 (f) 2/3 c Which is the second biggest value? (a) 0 (b) -1/6 (c) -1.1 (d) -16713 (e) 4 a Which is the fourth smallest value? (a) -2 (b) 0 (c) -10 (d) -19 (e) 1/2 b Which is the fifth smallest value? (a) 537 (b) -2/9 (c) 4 (d) -0.4 (e) -2/21 (f) 5 f What is the fifth biggest value in 4, -3, 0, -0.2, -439/11? -439/11 Which is the second smallest value? (a) 4/11 (b) 5 (c) 24959 b What is the third smallest value in -28/15, -2, 0.04, 2, 0.12? 0.04 Which is the third biggest value? (a) -0.1 (b) 4 (c) -0.4 (d) 0.1 (e) 5979 (f) -4 d Which is the fourth biggest value? (a) 3 (b) 0.02 (c) -2 (d) 1/4 (e) 14 b What is the fourth biggest value in 2.9, -0.3, 4.6, -5, 0.1, -0.6? -0.3 Which is the second biggest value? (a) 46 (b) 5 (c) 0.213 b What is the third smallest value in 16, 1, 1/9, -447/8? 1 Which is the biggest value? (a) -0.009 (b) -403 (c) 1/24 c What is the second smallest value in 3, -3/8, 0.0496, -4/7? -3/8 Which is the third smallest value? (a) -5 (b) -1 (c) 7/1665 (d) 2 c What is the second biggest value in -1305/2, -0.3, -2/13, -2? -0.3 Which is the biggest value? (a) -0.17 (b) -0.6 (c) -1 (d) 1/7 (e) 6/11 e Which is the biggest value? (a) 2762 (b) 4 (c) 8/5 a What is the second smallest value in 3/5, -4038, 4, 1/6? 1/6 What is the sixth smallest value in -1/4, -16, 5, 11, -0.2, -1? 11 What is the biggest value in -5, 0.142, 6, 4/7? 6 What is the smallest value in 2/99, -0.2, -35/2, 0.1? -35/2 What is the second biggest value in 0.3, 0.111, 13, 1? 1 What is the second smallest value in 2/23, -646, -8? -8 Which is the biggest value? (a) -15/7 (b) 4/7 (c) 3 (d) -2 (e) 0.154 c What is the third smallest value in -2/23, -7/2, -4, -3/5, -1/3? -3/5 Which is the fifth biggest value? (a) -6/11 (b) 1/69 (c) 1072 (d) -2 (e) -2/3 d What is the biggest value in -3, 13/2, -35, -4, -9, -0.4? 13/2 What is the fifth biggest value in -1/7, 63, -0.04, 3, 7, -2? -1/7 What is the second biggest value in -3/5, -0.2991, 101/3? -0.2991 What is the third biggest value in 22, -8/7, 23/4, 0.5, -1? 0.5 What is the biggest value in 0, -3, -78, -0.078, -1/3? 0 What is the biggest value in -11/7, 0.183, -1, -2/13? 0.183 What is the smallest value in -0.009, -5/2, 1/2, 3, -1? -5/2 What is the biggest value in -3, -1/33, -1/4, -4/7, -7.32? -1/33 What is the smallest value in -3/41, 1/22, -2/7? -2/7 Which is the biggest value? (a) 0 (b) 0.4 (c) -0.1 (d) -72 (e) -2/3 (f) -10 b What is the fourth smallest value in -4, -38, -2/577, -0.5, -1/4, 0? -1/4 What is the third smallest value in -0.1, -159/7, -25? -0.1 What is the second smallest value in -93, 4, 0, 0.11? 0 Which is the smallest value? (a) 0.1453 (b) -3 (c) 0.05 (d) -4 d Which is the fourth smallest value? (a) 0.269 (b) 1/4 (c) 0.1 (d) -0.5 a What is the fifth biggest value in 0, 0.06, 0.015, 0.5, -37? -37 Which is the third biggest value? (a) -13 (b) 3/2 (c) -3 (d) -2 (e) 10/3 (f) -1/4 f Which is the second biggest value? (a) 2 (b) -0.1 (c) 500 (d) 4 d What is the fourth smallest value in 0.02, -2/13, 1/5, -98/19? 1/5 Which is the third smallest value? (a) -2/3 (b) -1 (c) -4 (d) -53 (e) 36 (f) 3 b Which is the biggest value? (a) -0.5 (b) -17 (c) 0 (d) -1/5 (e) -0.032 c What is the second smallest value in 2, -7, -2.6133, 1/3? -2.6133 Which is the fifth smallest value? (a) 5 (b) 4 (c) -1.39 (d) -0.05 (e) 2/9 a Which is the fourth biggest value? (a) -0.3 (b) 0.4 (c) -0.4 (d) 4708 (e) 5 (f) -2 a What is the second biggest value in -1468, 1, -12/7? -12/7 What is the third biggest value in 1/3, 3/8, 0.25, -0.13, -1/3? 0.25 What is the third biggest value in -4, 61, -1/5, 2/7, -30, -5? -1/5 What is the fifth biggest value in -2/5, -3, 194, -42, 3? -42 What is the second smallest value in -365, -107, -5? -107 What is the biggest value in 1/13, -2, -245? 1/13 What is the third smallest value in 328, -2, -0.2, 58/3, 1/2, 3? 1/2 What is the third biggest value in -1/25, 1/2, 3, 26/9, 5/4? 5/4 Which is the second biggest value? (a) 0 (b) 48551 (c) 0.3 c Which is the second smallest value? (a) -1437 (b) -43 (c) 5 b Which is the fourth biggest value? (a) -701 (b) -1/2 (c) 34/3 (d) 3 a Which is the third smallest value? (a) 2/17 (b) 8/45 (c) 7 c Which is the third smallest value? (a) -0.01 (b) -1 (c) -173/2 (d) 0.5 (e) 3 a What is the second biggest value in 5/3, -7/9, -2, 3/82? 3/82 Which is the fifth smallest value? (a) 0.4 (b) -2 (c) 8/7 (d) 5317 (e) 3 d What is the second smallest value in -54, -1/4, 1/6, -5, -8? -8 Which is the smallest value? (a) -36 (b) -1 (c) 0.2
{ "pile_set_name": "DM Mathematics" }
, 1317, 1318, 1319, 1320? p + 1315 What is the f'th term of 15, 99, 239, 435, 687? 28*f**2 - 13 What is the v'th term of -167, -338, -513, -692, -875, -1062? -2*v**2 - 165*v What is the u'th term of -50, -105, -160, -215? -55*u + 5 What is the s'th term of 14, 25, 32, 29, 10? -s**3 + 4*s**2 + 6*s + 5 What is the u'th term of -16, -18, -28, -52, -96, -166, -268, -408? -u**3 + 2*u**2 - u - 16 What is the d'th term of 66, 127, 174, 201, 202, 171? -d**3 - d**2 + 71*d - 3 What is the i'th term of 287, 554, 821? 267*i + 20 What is the s'th term of -565, -2318, -5239, -9328, -14585? -584*s**2 - s + 20 What is the q'th term of 448, 447, 448, 451, 456, 463, 472? q**2 - 4*q + 451 What is the r'th term of 51, 54, 59, 66, 75, 86, 99? r**2 + 50 What is the p'th term of 178, 356, 534, 712? 178*p What is the o'th term of 1, -5, -17, -35, -59? -3*o**2 + 3*o + 1 What is the q'th term of 240, 444, 648, 852, 1056, 1260? 204*q + 36 What is the r'th term of -48, -66, -84, -96, -96, -78, -36, 36? r**3 - 6*r**2 - 7*r - 36 What is the b'th term of 7, 17, 49, 115, 227, 397, 637? 2*b**3 - b**2 - b + 7 What is the b'th term of 175, 346, 519, 694, 871, 1050? b**2 + 168*b + 6 What is the d'th term of 23, 9, -5, -19, -33? -14*d + 37 What is the r'th term of -570, -567, -564, -561, -558? 3*r - 573 What is the t'th term of -108, -103, -96, -87? t**2 + 2*t - 111 What is the v'th term of 18, 20, 20, 18, 14? -v**2 + 5*v + 14 What is the d'th term of 20, 54, 148, 332, 636, 1090, 1724, 2568? 5*d**3 - d + 16 What is the g'th term of -8, 6, 18, 22, 12, -18? -g**3 + 5*g**2 + 6*g - 18 What is the u'th term of -69, -72, -95, -150, -249? -2*u**3 + 2*u**2 + 5*u - 74 What is the i'th term of 9, 27, 41, 45, 33, -1? -i**3 + 4*i**2 + 13*i - 7 What is the n'th term of 159, 223, 297, 387, 499, 639, 813, 1027? n**3 - n**2 + 60*n + 99 What is the a'th term of -36, -34, -32, -30, -28, -26? 2*a - 38 What is the o'th term of 6, 43, 98, 165, 238, 311, 378? -o**3 + 15*o**2 - o - 7 What is the a'th term of 6120, 6116, 6100, 6066, 6008, 5920? -a**3 + 3*a + 6118 What is the n'th term of 59, 128, 207, 302, 419? n**3 - n**2 + 65*n - 6 What is the a'th term of -49, -36, 1, 74, 195? 2*a**3 - a - 50 What is the m'th term of -15, -21, -29, -39, -51, -65, -81? -m**2 - 3*m - 11 What is the j'th term of -350, -362, -380, -404, -434, -470, -512? -3*j**2 - 3*j - 344 What is the p'th term of 7191, 7193, 7195, 7197, 7199? 2*p + 7189 What is the l'th term of 124, 131, 142, 157? 2*l**2 + l + 121 What is the f'th term of 1292, 2604, 3918, 5234, 6552, 7872, 9194? f**2 + 1309*f - 18 What is the c'th term of -28308, -56617, -84926? -28309*c + 1 What is the n'th term of -135, -272, -507, -846, -1295? -n**3 - 43*n**2 - n - 90 What is the l'th term of 193, 182, 159, 118, 53, -42, -173? -l**3 - 4*l + 198 What is the z'th term of -174, -163, -128, -57, 62, 241, 492? 2*z**3 - 3*z - 173 What is the c'th term of 22, 16, 10, 4? -6*c + 28 What is the y'th term of -21, -14, 5, 42, 103, 194, 321, 490? y**3 - 22 What is the m'th term of -6, -8, -2, 12, 34, 64? 4*m**2 - 14*m + 4 What is the f'th term of 55, 175, 295, 415? 120*f - 65 What is the f'th term of -21, -27, -33, -39? -6*f - 15 What is the u'th term of 71, 96, 133, 188, 267? u**3 + 18*u + 52 What is the p'th term of -48, -81, -126, -189, -276, -393, -546, -741? -p**3 - 26*p - 21 What is the v'th term of 567, 2255, 5061, 8979, 14003, 20127? -v**3 + 565*v**2 + 3 What is the q'th term of -482, -519, -558, -599, -642, -687? -q**2 - 34*q - 447 What is the s'th term of 121, 132, 147, 166, 189, 216, 247? 2*s**2 + 5*s + 114 What is the y'th term of -4, -20, -70, -172, -344, -604? -3*y**3 + y**2 + 2*y - 4 What is the h'th term of 1478, 1489, 1512, 1553, 1618, 1713? h**3 + 4*h + 1473 What is the r'th term of 115, 109, 101, 91, 79, 65? -r**2 - 3*r + 119 What is the i'th term of -26, -212, -712, -1682, -3278, -5656, -8972? -26*i**3 - i**2 - i + 2 What is the w'th term of -95, -112, -141, -182, -235, -300, -377? -6*w**2 + w - 90 What is the g'th term of -917, -920, -923, -926, -929, -932? -3*g - 914 What is the c'th term of 8479, 16960, 25441, 33922, 42403, 50884? 8481*c - 2 What is the a'th term of -30, -125, -284, -507, -794, -1145? -32*a**2 + a + 1 What is the m'th term of -80, -146, -198, -230, -236? m**3 + m**2 - 76*m - 6 What is the c'th term of -7042, -7041, -7040, -7039, -7038? c - 7043 What is the k'th term of -24, -100, -224, -396, -616, -884? -24*k**2 - 4*k + 4 What is the j'th term of 74, 349, 796, 1409, 2182? -j**3 + 92*j**2 + 6*j - 23 What is the a'th term of 501, 489, 479, 471, 465, 461, 459? a**2 - 15*a + 515 What is the z'th term of 7665, 7672, 7675, 7668, 7645, 7600, 7527, 7420? -z**3 + 4*z**2 + 2*z + 7660 What is the y'th term of 733, 723, 701, 661, 597? -y**3 - 3*y + 737 What is the i'th term of -600, -1202, -1792, -2364, -2912? i**3 - 609*i + 8 What is the h'th term of 0, 9, 40, 99, 192, 325? h**3 + 5*h**2 - 13*h + 7 What is the g'th term of 42, 154, 330, 564, 850, 1182, 1554? -g**3 + 38*g**2 + 5*g What is the b'th term of 229, 485, 755, 1045, 1361? b**3 + b**2 + 246*b - 19 What is the g'th term of 64, 86, 98, 94, 68, 14, -74, -202? -g**3 + g**2 + 26*g + 38 What is the b'th term of 115, 107, 99, 91, 83? -8*b + 123 What is the m'th term of -24, -27, -10, 33, 108? m**3 + 4*m**2 - 22*m - 7 What is the p'th term of -16, -39, -92, -187, -336, -551? -2*p**3 - 3*p**2 - 11 What is the t'th term of 3, 12, 29, 54, 87? 4*t**2 - 3*t + 2 What is the d'th term of 822, 805, 788, 771, 754, 737? -17*d + 839 What is the b'th term of -4153, -4149, -4145, -4141, -4137, -4133? 4*b - 4157 What is the j'th term of -9, -37, -87, -159, -253, -369, -507? -11*j**2 + 5*j - 3 What is the a'th term of 765, 775, 785, 795, 805? 10*a + 755 What is the w'th term of -17, -46, -89, -146, -217? -7*w**2 - 8*w - 2 What is the g'th term of 49, 48, 47? -g + 50 What is the a'th term of -5301, -5300, -5299, -5298, -5297? a - 5302 What is the s'th term of -206, -413, -620? -207*s + 1 What is the q'th term of 45, 225, 525, 939, 1461, 2085, 2805? -q**3 + 66*q**2 - 11*q - 9 What is the c'th term of -119, -236, -367, -518, -695? -c**3 - c**2 - 107*c - 10 What is the n'th term of 89, 176, 265, 356, 449, 544? n**2 + 84*n + 4 What is the u'th term of 166, 187, 224, 277, 346? 8*u**2 - 3*u + 161 What is the x'th term of -140, -149, -172, -215, -284, -385, -524, -707? -x**3 - x**2 + x - 139 What is the n'th term of 102, 193, 284? 91*n + 11 What is the t'th term of 27, 12, -5, -24? -t**2 - 12*t + 40 What is the s'th term of 381, 389, 401, 417, 437, 461, 489? 2*s**2 + 2*s + 377 What is the h'th term of -11, -4, 25, 88, 197? 2*h**3 - h**2 - 4*h - 8 What is the x'th term of -109, -109, -107, -103? x**2 - 3*x - 107 What is the s'th term of 389, 384, 379, 374, 369, 364? -5*s + 394 What is the y'th term of -82, -26, 50, 152, 286, 458, 674? y**3 + 4*y**2 + 37*y - 124 What is the t'th term of -873, -1744, -2615? -871*t - 2 What is the g'th term of -177, -353, -531, -711, -893, -1077? -g**2 - 173*g - 3 What is the h'th term of -49, -102, -157, -214, -273, -334? -h**2 - 50*h + 2 What is the q'th term of -747, -1496, -2243, -2988, -3731? q**2 - 752*q + 4 What is the y'th term of 91, 92, 93? y + 90 What is the n'th term of 13, 6, -13, -50, -111, -202, -329, -498? -n**3 + 14 What is the a'th term of 30, 56, 76, 90, 98, 100? -3*a**2 + 35*a - 2 What is the s'th term of -84, -189, -340, -561, -876, -1309? -4*s**3 + s**2 - 80*s - 1 What is the a'th term of 1, -1, -19, -59, -127, -229? -a**3 - 2*a**2 + 11*a - 7 What is the v'th term of 13, 23, 41, 73, 125, 203, 313, 461? v**3 - 2*v**2 + 9*v + 5 What is the p'th term of 1, -6, -9, -2, 21? p**3 - 4*p**2 - 2*p + 6 What is the s'th term of -7, -22, -61, -136, -259, -442, -697, -1036? -2*s**3 - s - 4 What is the o'th term of -12, -23, -34, -45? -11*o - 1 What is the l'th term of -98, -174, -250, -326, -402? -76*l - 22 What is the z'th term of -137, -141, -145, -149? -4*z - 133 What is the q'th term of -17, -6, 5, 16, 27, 38? 11*q - 28 What is the g'th term of -19, -53, -133, -283, -527, -889, -1393? -4*g**3 + g**2 - 9*g - 7 What is the k'th term of 66, 96, 124, 150, 174, 196? -k**2 + 33*k + 34 What is the k'th term of 224, 223, 236, 269, 328, 419, 548, 721? k**3 + k**2 - 11*k + 233 What is
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from {k: 1, j: 1, p: 2, q: 3}. Give prob of sequence qj. 1/14 Calculate prob of sequence xtmm when four letters picked without replacement from {t: 6, x: 1, m: 9, l: 2}. 1/170 Calculate prob of sequence kr when two letters picked without replacement from zgdgrdk. 1/42 Two letters picked without replacement from {w: 1, f: 2, l: 1, g: 1, c: 1, s: 1}. What is prob of sequence sw? 1/42 Four letters picked without replacement from fbffffbfulu. Give prob of sequence lfbb. 1/660 What is prob of sequence aaar when four letters picked without replacement from {r: 5, a: 6, g: 2}? 5/143 Two letters picked without replacement from ccnbymu. Give prob of sequence yb. 1/42 Four letters picked without replacement from tbbbbbt. Give prob of sequence bbbt. 1/7 Calculate prob of sequence jdvs when four letters picked without replacement from kvssajd. 1/420 Two letters picked without replacement from zllrlrllrlllrlrrlllr. Give prob of sequence lr. 21/95 Calculate prob of sequence gc when two letters picked without replacement from xucuuugg. 1/28 Calculate prob of sequence hhf when three letters picked without replacement from {h: 2, k: 5, b: 1, r: 4, x: 2, f: 1}. 1/1365 Three letters picked without replacement from {n: 17, i: 3}. What is prob of sequence inn? 34/285 Calculate prob of sequence hbqb when four letters picked without replacement from bqhbqqqhb. 1/63 Three letters picked without replacement from {v: 4, u: 1, x: 3, l: 3, s: 2, q: 6}. What is prob of sequence qll? 2/323 What is prob of sequence ooq when three letters picked without replacement from qooooqooo? 1/6 What is prob of sequence kykg when four letters picked without replacement from {k: 9, z: 1, y: 7, g: 2}? 7/646 Three letters picked without replacement from eyyyeeeyyeeyeyyeyeee. Give prob of sequence eye. 11/76 Four letters picked without replacement from uussuyoyguoiosu. Give prob of sequence youg. 1/1092 Calculate prob of sequence ggc when three letters picked without replacement from {g: 5, c: 8}. 40/429 Two letters picked without replacement from {b: 1, p: 7, g: 11}. What is prob of sequence bg? 11/342 What is prob of sequence ppt when three letters picked without replacement from ppttbtqts? 1/63 Four letters picked without replacement from fznnhnffffhneht. Give prob of sequence ntff. 2/819 Three letters picked without replacement from bbobwbbobwobbbb. Give prob of sequence oww. 1/455 Calculate prob of sequence jdd when three letters picked without replacement from jjjjjjjjjdjedjjjd. 13/680 What is prob of sequence llu when three letters picked without replacement from {l: 10, u: 1, c: 2, q: 4}? 3/136 Three letters picked without replacement from eccceceicccccccc. What is prob of sequence ece? 3/140 What is prob of sequence eeee when four letters picked without replacement from eeeeeeeee? 1 Four letters picked without replacement from ssdsdbsddsdwbsbdd. What is prob of sequence wbdd? 3/1360 Two letters picked without replacement from {p: 2, d: 1, a: 1, g: 2}. Give prob of sequence gp. 2/15 Two letters picked without replacement from {v: 2, b: 1, z: 1, d: 1, g: 2, a: 1}. Give prob of sequence va. 1/28 Three letters picked without replacement from {d: 10}. Give prob of sequence ddd. 1 What is prob of sequence hha when three letters picked without replacement from {u: 3, e: 2, o: 4, a: 2, h: 2}? 1/429 Three letters picked without replacement from {s: 4, k: 3}. What is prob of sequence kss? 6/35 What is prob of sequence xu when two letters picked without replacement from {u: 4, z: 3, y: 2, x: 10}? 20/171 Three letters picked without replacement from {l: 3, e: 15}. What is prob of sequence lll? 1/816 What is prob of sequence oo when two letters picked without replacement from zozzzzoozzzzozzzooz? 5/57 Four letters picked without replacement from qoouuosuossos. What is prob of sequence souu? 1/143 Two letters picked without replacement from idiininu. Give prob of sequence nn. 1/28 Four letters picked without replacement from kccfzst. Give prob of sequence fccz. 1/420 Calculate prob of sequence ypyp when four letters picked without replacement from ppyyyyyyyyyyy. 1/78 What is prob of sequence nq when two letters picked without replacement from {q: 4, c: 4, n: 1, i: 10}? 2/171 What is prob of sequence nh when two letters picked without replacement from phnpnhnan? 1/9 Four letters picked without replacement from {g: 6, e: 4, b: 3, p: 1}. Give prob of sequence pbbb. 1/4004 What is prob of sequence krvh when four letters picked without replacement from rhhavyakk? 1/756 Four letters picked without replacement from {t: 3, k: 8}. Give prob of sequence tkkt. 7/165 Two letters picked without replacement from {x: 3, r: 2, t: 1, s: 3, z: 1}. Give prob of sequence zr. 1/45 Calculate prob of sequence ui when two letters picked without replacement from {i: 1, w: 1, m: 2, e: 2, u: 1, a: 2}. 1/72 Calculate prob of sequence mm when two letters picked without replacement from dhmmhdqddddqhdq. 1/105 Two letters picked without replacement from whfvhvhvhhhfv. Give prob of sequence vv. 1/13 Four letters picked without replacement from dddgdigdnnudg. What is prob of sequence nign? 1/2860 Calculate prob of sequence cct when three letters picked without replacement from tttttctttttttcctcct. 140/2907 What is prob of sequence pptr when four letters picked without replacement from {t: 3, p: 7, r: 2}? 7/330 Calculate prob of sequence vuum when four letters picked without replacement from {m: 6, t: 3, a: 2, u: 3, v: 1}. 1/910 Four letters picked without replacement from maayt. Give prob of sequence ttmm. 0 Two letters picked without replacement from nsnnnnnnnssnsnsnnns. What is prob of sequence sn? 13/57 Two letters picked without replacement from {f: 3, c: 2, a: 1, z: 4, x: 4, q: 1}. What is prob of sequence xf? 2/35 Four letters picked without replacement from bmwbmmmwqbq. Give prob of sequence qmqb. 1/330 What is prob of sequence vwv when three letters picked without replacement from ncnwvncnnnvv? 1/220 Calculate prob of sequence qs when two letters picked without replacement from {q: 4, s: 7, v: 3}. 2/13 Four letters picked without replacement from rppprjjrr. Give prob of sequence rjjr. 1/126 Four letters picked without replacement from nnnnbnnzezbnzzenznnz. What is prob of sequence znzb? 5/969 What is prob of sequence lgcl when four letters picked without replacement from llccccgllcclcl? 5/572 Three letters picked without replacement from nxlxttxxxltlxstlxn. Give prob of sequence xnt. 7/612 Two letters picked without replacement from uuktkykvuy. What is prob of sequence kk? 1/15 What is prob of sequence rf when two letters picked without replacement from rrrjeff? 1/7 Four letters picked without replacement from uuuiuscppcpcpiccc. What is prob of sequence cupc? 1/119 What is prob of sequence ll when two letters picked without replacement from ulwlulu? 1/7 Calculate prob of sequence ok when two letters picked without replacement from {r: 4, o: 3, a: 1, k: 1, m: 2}. 3/110 What is prob of sequence sp when two letters picked without replacement from ppspss? 3/10 Calculate prob of sequence jb when two letters picked without replacement from {b: 3, j: 11}. 33/182 Three letters picked without replacement from zawwca. Give prob of sequence aww. 1/30 Two letters picked without replacement from {e: 2, f: 1, d: 4, i: 2, h: 1}. What is prob of sequence if? 1/45 What is prob of sequence wk when two letters picked without replacement from {u: 1, j: 1, f: 1, k: 1, w: 1}? 1/20 Calculate prob of sequence ynw when three letters picked without replacement from {n: 2, w: 7, y: 2}. 14/495 What is prob of sequence rm when two letters picked without replacement from {y: 2, u: 1, r: 1, f: 1, m: 1, o: 1}? 1/42 Four letters picked without replacement from {m: 2, h: 1, k: 2, b: 1, y: 5, a: 2}. Give prob of sequence khyk. 1/1716 Calculate prob of sequence kkkk when four letters picked without replacement from kjjkkjkkkkkk. 14/55 Calculate prob of sequence ub when two letters picked without replacement from {b: 9, h: 1, u: 2, g: 2, x: 3}. 9/136 Four letters picked without replacement from {y: 1, i: 3}. What is prob of sequence iyii? 1/4 Three letters picked without replacement from {g: 19, i: 1}. Give prob of sequ
{ "pile_set_name": "DM Mathematics" }
What is -2602475.2 rounded to the nearest 1000? -2602000 Round 0.4241945131 to three decimal places. 0.424 Round 170648010 to the nearest one million. 171000000 What is 44775457.37 rounded to the nearest one hundred thousand? 44800000 Round 3050481.94 to the nearest one hundred. 3050500 Round -282905 to the nearest one hundred. -282900 Round -133173.41 to the nearest one thousand. -133000 Round 0.09852305 to 3 decimal places. 0.099 Round -0.6113955457 to two decimal places. -0.61 Round 12.834589923 to zero dps. 13 Round 7231640.9 to the nearest one million. 7000000 What is -2793.629471 rounded to the nearest one hundred? -2800 What is -1704.1698 rounded to the nearest one hundred? -1700 Round 820.8576858 to 1 decimal place. 820.9 What is 88.64661997 rounded to 0 dps? 89 What is 10.08304047 rounded to 3 decimal places? 10.083 Round -4501.520651 to the nearest ten. -4500 What is 0.00159333299 rounded to six dps? 0.001593 Round 0.0000026101156 to six dps. 0.000003 What is 95217.0184 rounded to zero dps? 95217 What is 6921014.817 rounded to the nearest ten thousand? 6920000 What is 0.1551391522 rounded to 3 decimal places? 0.155 Round -525263.85 to the nearest ten thousand. -530000 Round -1373.98259 to the nearest 100. -1400 Round -58811.2225 to the nearest 10. -58810 Round -0.000003840154412 to 7 decimal places. -0.0000038 What is -1839.32952 rounded to the nearest 100? -1800 What is 646729.601 rounded to the nearest ten? 646730 What is 215463.486 rounded to the nearest one thousand? 215000 What is -33067788.2 rounded to the nearest one hundred thousand? -33100000 What is 490.319073 rounded to the nearest 10? 490 What is -0.000000655656513 rounded to 7 decimal places? -0.0000007 Round -0.059013566 to two dps. -0.06 What is 1056.920336 rounded to one decimal place? 1056.9 Round -10952.40399 to the nearest 1000. -11000 Round 11699.1449 to the nearest 1000. 12000 Round -22591.05531 to the nearest 10000. -20000 What is 0.069280891 rounded to 4 dps? 0.0693 Round -0.000764005789 to 4 dps. -0.0008 Round 0.000003831323164 to 6 dps. 0.000004 Round 16.85526648 to the nearest integer. 17 Round -5.21689528 to zero dps. -5 Round 0.0002036882959 to 6 dps. 0.000204 Round -421806541 to the nearest 100000. -421800000 What is 687.3074452 rounded to 0 decimal places? 687 What is -23.97750103 rounded to one dp? -24 What is 221.80676 rounded to the nearest 1000? 0 What is 0.0001030581409 rounded to 5 decimal places? 0.0001 What is 625657268 rounded to the nearest 10000? 625660000 Round -129113.3673 to the nearest one thousand. -129000 Round -49077.266 to the nearest 100. -49100 What is 26801853.4 rounded to the nearest 1000000? 27000000 Round 1.40012599 to 2 decimal places. 1.4 What is -211981997 rounded to the nearest ten thousand? -211980000 What is 74.8116258 rounded to the nearest 10? 70 What is 8.5350884 rounded to 3 dps? 8.535 Round 184604190.45 to the nearest 10000. 184600000 What is 0.201392136 rounded to two decimal places? 0.2 Round 0.1403018475 to three decimal places. 0.14 What is -76.5419246 rounded to 2 decimal places? -76.54 Round -276147.4123 to the nearest 1000. -276000 What is -11158.36566 rounded to the nearest 10000? -10000 Round -221673.7 to the nearest 100. -221700 What is -1262816.68 rounded to the nearest one thousand? -1263000 What is 79.204341 rounded to 1 dp? 79.2 Round -53135.2295 to the nearest ten. -53140 What is 16696.088 rounded to the nearest 100? 16700 What is 458.643073 rounded to 0 decimal places? 459 Round -0.0020819548 to five decimal places. -0.00208 Round -3305.9158 to the nearest 1000. -3000 Round 331686.01 to the nearest one hundred. 331700 What is 64377.665 rounded to the nearest 100? 64400 What is 681695907.4 rounded to the nearest ten thousand? 681700000 What is -0.0000949409361 rounded to 5 decimal places? -0.00009 Round 0.0000120273632 to 6 decimal places. 0.000012 Round -1964.50108 to 1 decimal place. -1964.5 Round 0.258459396 to 2 dps. 0.26 Round 141.9551542 to 2 decimal places. 141.96 What is -37177391.9 rounded to the nearest one million? -37000000 Round 0.0988785132 to five dps. 0.09888 What is -705770.247 rounded to the nearest 10000? -710000 Round -0.000028504799 to 6 decimal places. -0.000029 What is 1029930640 rounded to the nearest one million? 1030000000 What is 398.685204 rounded to the nearest one hundred? 400 What is 146.0024 rounded to the nearest 100? 100 Round 16074.50677 to the nearest integer. 16075 Round 1.760116221 to 2 decimal places. 1.76 Round -3690.67398 to the nearest integer. -3691 Round -891467.784 to the nearest 10. -891470 What is -83799.436 rounded to the nearest 1000? -84000 What is 326273401 rounded to the nearest 100000? 326300000 Round -3814038340 to the nearest 1000000. -3814000000 Round 0.0000335254792 to six decimal places. 0.000034 Round -12552885480 to the nearest one million. -12553000000 What is -0.0085337119 rounded to six dps? -0.008534 Round 0.40019876 to three decimal places. 0.4 What is -0.0000008698714 rounded to six decimal places? -0.000001 Round -95628133.4 to the nearest one hundred thousand. -95600000 What is -0.07593719656 rounded to six dps? -0.075937 Round -3975311403 to the nearest 1000000. -3975000000 What is -0.00001363142845 rounded to 6 dps? -0.000014 What is 0.000005871072917 rounded to 6 decimal places? 0.000006 Round -135078.655 to the nearest 10. -135080 What is 414.61379 rounded to the nearest ten? 410 What is 3836.8634 rounded to the nearest one hundred? 3800 What is 0.08002287 rounded to 2 dps? 0.08 What is -186032.9375 rounded to the nearest 10? -186030 Round 40.327282 to 1 dp. 40.3 Round 0.04976509223 to 5 dps. 0.04977 What is -486.226093 rounded to two dps? -486.23 Round 303838 to the nearest one hundred thousand. 300000 What is -97.4620841 rounded to 2 decimal places? -97.46 What is 0.000002748292394 rounded to six decimal places? 0.000003 Round -353196.6972 to the nearest ten thousand. -350000 What is 0.000000661411741 rounded to 7 dps? 0.0000007 What is 57.1693538 rounded to the nearest 10? 60 What is -0.00022624016 rounded to 5 dps? -0.00023 What is -13305.453 rounded to the nearest one thousand? -13000 Round -0.00000593919173 to 6 decimal places. -0.000006 Round -0.232242484 to two dps. -0.23 What is 96325.194 rounded to the nearest 1000? 96000 What is 574.306261 rounded to 1 decimal place? 574.3 Round 9235945950 to the nearest one hundred thousand. 9235900000 Round -0.0000465069895 to six dps. -0.000047 What is -0.000001233346802 rounded to 6 dps? -0.000001 What is 2475.3019 rounded to the nearest 1000? 2000 Round 99067.428 to the nearest 1000. 99000 What is -167404.149 rounded to the nearest 100? -167400 Round 321611720 to the nearest 1000000. 322000000 What is -84369387.7 rounded to the nearest one million? -84000000 Round 333782720 to the nearest 100000. 333800000 What is 37150286.08 rounded to the nearest one thousand? 37150000 What is -58.3696504 rounded to 3 dps? -58.37 Round -0.82223705 to two decimal places. -0.82 Round -0.0102399109 to three dps. -0.01 What is -628217.4 rounded to the nearest one hundred thousand? -600000 Round -0.000002160062552 to six dps. -0.000002 What is -66.88018 rounded to one decimal place? -66.9 What is -2385.65424 rounded to the nearest one thousand? -2000 Round 0.002268693032 to six dps. 0.002269 What is -7364.8719 rounded to the nearest ten thousand? -10000 What is 0.00000073692356 rounded to 7 dps? 0.0000007 Round -6373.4568 to the nearest one hundred. -6400 What is -0.64932547 rounded to one decimal place? -0.6 Round 0.000072104238 to five dps. 0.00007 What is 0.000719477123 rounded to 4 dps? 0.0007 What is -0.00002200706 rounded to five decimal places? -0.00002 Round 0.03076719741 to 3 decimal places. 0.031 What is 0.18495390484 rounded to six dps? 0.184954 What is 0.00002234210679 rounded to 6 decimal places? 0.000022 What is 671322.126 rounded to the nearest 100000? 700000 Round -3098621.413 to the nearest one thousand. -3099000 Round 0.000062903113 to 5 decimal places. 0.00006 What is -0.0003208412 rounded to 4 decimal places? -0.0003 What is -34976.9572 rounded to the nearest 100? -35000 What is 463644898 rounded to the nearest 100000? 463600000 Round 0.000033244859 to seven dps. 0.0000332 What
{ "pile_set_name": "DM Mathematics" }
3 + 590. What is z(r)? 1 Let y(t) be the first derivative of -t**3/3 - 3*t**2/2 + 5*t - 2. Suppose 0 = w - 4*w. Suppose w + 10 = -2*u. Calculate y(u). -5 Let k(r) = -6*r**3 + 2*r**3 - 4 + 5*r**3 + 2*r**2 - 2*r + 5*r + 2*r**2. Calculate k(-4). -16 Suppose -5*a + 2*k - 91 = 3*k, 0 = -4*k - 4. Let z = a + 14. Let o(w) = -w**2 - 3*w. What is o(z)? -4 Let t(c) = 3*c + 7. Suppose 2*g + 14 = -4*v, -3*g + 9 = 3*v - 7*v. Give t(v). -2 Let a = -28 - -40. Let f be (a/30)/(1/(-10)). Let u(d) be the second derivative of -d**5/20 - d**4/3 + d**3/6 + d**2 - d. Give u(f). -2 Suppose 47*j - 45*j - 88 = 0. Suppose 9*n + 2*n = j. Let p(c) = c**2 - 2*c - 1. Determine p(n). 7 Suppose -48*c + 129 + 111 = 0. Let t(z) = z**2 + z - 5. What is t(c)? 25 Let w(x) = 20*x + 6. Let a(l) be the second derivative of 13*l**3/6 + 2*l**2 - 22*l. Let j(h) = 8*a(h) - 5*w(h). Give j(-2). -6 Let a(t) = 93 - t - 51 + 2*t - 51. Determine a(8). -1 Let u(q) = -q**3 + 9*q**2 + 11*q - 1. Let x be 1/(-4) - (-123)/(-36)*-3. Give u(x). 9 Suppose -z + 23 - 18 = 0. Let u(r) be the first derivative of -r**3/3 + 5*r**2/2 + 5*r + 2. What is u(z)? 5 Let t(l) = 0*l + l**2 + 0*l**2 + 2*l. Suppose 0 = 2*n + 2*d + 2, n - 12 = 4*d + 12. Suppose -n*w - 12 = -4*r, 3*w + 0*w + 8 = 2*r. Determine t(w). 0 Let m = -2680 + 2686. Let d(s) = -s**3 + 5*s**2 + 5*s - 1. Calculate d(m). -7 Let y(w) be the third derivative of -7*w**5/30 - 5*w**4/24 - 2*w**3/3 + 250*w**2. Give y(-1). -13 Let a(t) = -t - 1. Suppose -35 = -2*y + 3*y. Let f = 40 + y. What is a(f)? -6 Suppose -60*a = -70*a + 50. Let p(y) be the first derivative of 2*y**2 - 5*y - 2. Calculate p(a). 15 Let s(q) be the third derivative of -q**4/24 - 7*q**3/6 + q**2. Let f(x) = -18*x + 139. Let d be f(8). Let n be s(d). Let a(t) = t**2 + 3*t + 3. What is a(n)? 1 Let z(h) be the third derivative of h**5/60 + h**3/2 - 3*h**2. Let w be (-2)/(-4)*(5 - 5). Determine z(w). 3 Let a = -7 - -7. Suppose -5*j + 17 + 13 = a. Let d = j + -2. Let m(y) = -y**3 + 5*y**2 - 3*y - 2. Determine m(d). 2 Let p(a) = -a**3 + 4*a**2 + a - 6. Let o(t) = 2*t**3 - 7*t**2 - 2*t + 11. Let u(q) = 4*o(q) + 9*p(q). Let r be (-2)/4 - (-17)/2. What is u(r)? -2 Let p be -3 - (33/55 - 12/(-5)). Let y(t) = t**2 - t - 8. Give y(p). 34 Let v(z) be the first derivative of z**4/4 + 2*z**3 + 3*z - 70. Determine v(-5). 28 Let j(q) be the third derivative of -1/120*q**6 + 0*q**4 - 1/60*q**5 + 1/6*q**3 + 0*q + 3*q**2 + 0. Calculate j(0). 1 Let f be -1*((3 - 6) + 1). Suppose 4*w = f*w + 6. Let a(x) = x**w - x**2 + 6*x**2 - 8 - 9*x + 0*x**2. What is a(-6)? 10 Let x = -462 + 462. Let n(u) = 0*u - u**3 + 9 + 0*u**3 - u**2 + 0*u**3 - u. What is n(x)? 9 Let c be (2 - 1984/72) + (-4)/9. Let a(q) = 2*q**2 + 51*q - 23. What is a(c)? 3 Let z(s) = 4 - 24 + 516*s - 525*s. Determine z(-3). 7 Suppose 3*u - d - 32 = u, 53 = 3*u - 4*d. Let w(y) = 3 + 2 - u + 2 - 2*y. Give w(-6). 4 Let t(l) = -3*l + 15. Let s(x) = -x + 7. Let p(d) = -4*s(d) + t(d). Give p(11). -2 Suppose -49 = 29*s - 36*s. Let z(k) = k**3 - 8*k**2 + 5*k + 8. Give z(s). -6 Let t(v) = 4*v + 2. Let f(i) = 59*i**3 - 2*i**2 + 1. Let n be f(-1). Let a be (-14)/(-77) + n/(-33). Determine t(a). 10 Let j(a) = a. Let k(g) = 3*g + 5. Let u(m) = -j(m) + k(m). Let d = 58 + -46. Suppose 4*x = -p + d, 4*p + 0 = -3*x - 4. Give u(p). -3 Suppose 28*f - 135 = -23. Let x(j) = -2*j**2 - 2 + j**3 - 3 + 0*j**3 - 4*j. Calculate x(f). 11 Let o(l) = -3*l**2 - 2*l + 3. Let u(k) = 4*k**2 + 2*k - 4. Let v(g) = -5*o(g) - 4*u(g). Let z = -2 - -1. What is v(z)? -2 Let f(a) be the third derivative of -a**4/24 - a**3 + 6*a**2 - 2. Determine f(-3). -3 Let y(c) be the third derivative of c**6/120 - c**5/10 - 3*c**4/8 - 7*c**3/6 + 690*c**2. Let n = -8 - -15. Give y(n). -21 Let g(s) = s**3 - 3*s**2 - 4*s + 3. Let k(j) = j**2 + 5*j - 13. Let h be k(-7). Let w be 2*1 + (5 + -3 - h). What is g(w)? -9 Let y(h) = -3*h + 81. Let z(b) = 4*b - 114. Let j(l) = 7*y(l) + 5*z(l). Suppose -s + 4*s = 0. Determine j(s). -3 Let u be ((-16)/10)/(-6 + (-352)/(-60)). Suppose -3*g + g - 2*j = u, 4*j + 12 = 0. Let b(p) = -p**2 - 3. Determine b(g). -12 Let n be -6 + (-7)/(49/(-28)). Let b(q) = -q**3 - 2*q**2 - q + 1. Determine b(n). 3 Let t(p) = -p**3 + 2*p**2 + 4. Let w be t(3). Let x(c) = 2 + 3906*c - 1953*c - 1952*c. Determine x(w). -3 Let b(v) = v - 5. Let n(a) = -4*a + 14. Let d(s) = -6*b(s) - 2*n(s). What is d(-6)? -10 Let o(v) be the third derivative of 0*v**4 + 0*v + 0 - 23*v**2 + 1/6*v**3 + 1/60*v**5. Let f = -2 + 0. Calculate o(f). 5 Let u(x) = 6*x**3 - x**2 - 2*x + 4. Let j be u(0). Let q(g) be the first derivative of -g**4/4 + 2*g**3 - 5*g**2/2 - 3*g + 1. Determine q(j). 9 Let l(o) = o**3 - 7*o**2 - 6*o - 11. Suppose 10*u + 1590 = 1670. Determine l(u). 5 Suppose -23*i + 12*i = -77. Let t(v) = v + 1. Give t(i). 8 Let p(s) = 4*s**2 - s - 3. Suppose -3*g = -4*o + 6, 2*g + 5*o - 10 - 9 = 0. Calculate p(g). 11 Let p = 390 - 388. Let b(w) be the second derivative of -1/6*w**3 + 0 + 3/2*w**p + 9*w. Calculate b(-6). 9 Let v(u) = u - 3. Suppose 2*h - k - 3 = 0, -k - k + 12 = 2*h. Suppose -n + 4 = -t, h*n + 0 - 8 = -t. Let a = t - -1. Determine v(a). -3 Let z(b) be the third derivative of -b**5/20 - 5*b**4/24 + b**3 - 217*b**2 - b. Calculate z(-5). -44 Let k(d) be the third derivative of d**6/120 - d**5/15 - d**4/24 - 2*d**3/3 + 303*d**2. Suppose -3*q + 17 = 5. Calculate k(q). -8 Let f(i) = i**3 + 3*i**2 + i - 1. Suppose 37*z = 35*z - 110. Let c be 4*(z/10)/11. Calculate f(c). 1 Let p(a) = a**3 - 9*a**2 - a + 4. Let q be (-328)/287 - 142/(-14). What is p(q)? -5 Let k(s) = -s**3 - 6*s**2 - 5*s + 1. Let z = -80 + 94. Suppose 3*d + 1 = -z. Give k(d). 1 Let w = -1 + -1. Let l(t) = t**3 + t**2 - 2*t + 1. Let q be l(w). Let c(k) be the second derivative of -k**3/2 - k**2/2 - 2*k. Determine c(q). -4 Let g(t) be the third derivative of -11*t**4/12 + t**3/2 - 288*t**2. What is g(-1)? 25 Let w(r) = r + 4. Let h(x) = -x**2 - 30*x - 49. Let y be h(-28). What is w(y)? 11 Let h(t) be the second derivative of 3*t**5/5 + t**4/6 - t**3/6 - t + 117. Let l = 11 + -8. Let i = -2 + l. Calculate h(i). 13 Let y(k) = -k**3 + 5*k**2 - 4*k + 5. Let z(q) = 3*q - 9. Let p be z(3). Suppose p = 3*n + 4*o - 11 + 3, n - 5*o = 9. Give y(n). 5 Let l(b) = b**3 - 3*b**2 - 6*b - 2. Let y(r) be the first derivative of -r**4/2 + 2*r**3/3 + 3*r**2 + 2*r + 10. Let q(x) = -3*l(x) - 2*y(x). Give q(-4). -6 Let v be (-252)/(-60) - (-1)/(-5). Suppose -l + v = 2*r, -3*r + 0*r + 1 = -l. Let j(n) = -5*n + l + 10*n - 3*n. Determine j(2). 6 Let l(a) = a**2 + 5*a - 3. Let z = -71 - -66. Calculate l(z). -3 Suppose 156 = 2*b + 11*b. Let s(d) = -d**3 + 13*d**2 - 12*d + 4. Give s(b). 4 Let b be 95/25 + (-4)/5. Let r(s) = -2*s - 1. What is r(b)? -7 Suppose -4*d = -3*d - 26. Suppose 0 = -5*n - 2*r - 21, 5*n = n + 3*r - d. Let q(z) = -z**3 - 4*z**2 + 4*z - 1. Determine q(n). 4 Suppose -8 - 2 = -10*x. Let a(c) = 7*c**3 - 2*c + 1. Calculate a(x). 6 Let u(r) = 5*r**2 - 1. Let n(x) = -2*x**2 + 5*x + 1. Let g be n(4). Let c(d) = -d**3 - 10*d**2 + 12*d + 12. Let z be c(g). Give u(z). 4 Let m(k) = -12*k + 118. Let a(v) = 2*v - 23. Let n(b) = -16*a(b) - 3*m(b). Determine n(-7). -14 Suppose -2*t - 3*t + 15 = 0. Let q be -3*(2/(-6))/(t/3). Let j(z) = 2*z**3 - 2*z**2 + 1. Let f(y) = 5*y**3 - 4*y**2 + 2. Let u(h) = 3*f(h) - 7*j(h). Give u(q). 2 Let d(h) = 2*h**2 + 2*h - 2. Let o = -115 + 113. Determine d(o). 2 Let z(m) be the second derivative of -m**6/120 - 7*m**5/60 - m**4/4 - 2*m**3/3 - 9*m**2 + 16*m. Let x(o) be the first derivative of z(o). What is x(-6)? -4 Let s be (-1)/(-5) + (-18)/(-10). Suppose w + s = -0. Let n(m) = m**3 - m + 2. What is n(w)? -4 Let b = 172 - 114. Let t = 57 - b. Let v(c) = -c**3 - c. Calculate v(t). 2 Let i(y) be the first derivative of -2*y**3/3 + y**2/2 - 216. Calculate i(1). -1 Let l(h) = h**3 + 5*h - 4. Let j(w) = w**3 + 24*w**2 + 96*w + 22. Let f be j(-19). What is l(f)? 38 Let i(a) = 2*a - 3. Let d be (5/3)/(((-30)/6)/(-30)). Let k be (d + 0/2)*24/60. Give i(k). 5 Let w(m) = -m**3 + 11*m**2 - 11*m + 17. Let f be w(10). Let c(l) = -1 - 3 - 2*l**2 + l**2 - 1 - f*l. Give c(-4). 7 Suppose -4 = -95*v + 97*v. Let b(i) = -i**3 - 4*i**2 - 3*i - 4. Give b(v). -6 Let o = -254 - -257. Let r(x) = 2*x**2 + 3*x + 4. Give r(o). 31 Let d(i) = i**2 - 12*i
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from ukktc? 1/30 Calculate prob of sequence hg when two letters picked without replacement from {o: 2, f: 4, h: 3, b: 6, g: 1}. 1/80 Two letters picked without replacement from zazttzz. What is prob of sequence tt? 1/21 Two letters picked without replacement from pxcjxpccjjoox. Give prob of sequence cc. 1/26 What is prob of sequence xp when two letters picked without replacement from {p: 6, x: 1, h: 8, i: 1}? 1/40 Three letters picked without replacement from mmmmmpmmmmmm. Give prob of sequence mmm. 3/4 Calculate prob of sequence soa when three letters picked without replacement from oas. 1/6 Three letters picked without replacement from zjzjjzjvvvlj. Give prob of sequence zvl. 3/440 Four letters picked without replacement from {c: 2, r: 2, k: 4, f: 4, p: 1, j: 1}. What is prob of sequence frrk? 4/3003 What is prob of sequence fgfy when four letters picked without replacement from {o: 2, y: 6, g: 4, f: 6}? 1/102 Calculate prob of sequence sj when two letters picked without replacement from jjjsjjs. 5/21 What is prob of sequence jc when two letters picked without replacement from {c: 15, j: 5}? 15/76 Three letters picked without replacement from qmymmmyyymyyyyqym. Give prob of sequence yyy. 21/170 Four letters picked without replacement from {k: 1, f: 1, c: 2, h: 1, a: 2}. What is prob of sequence ckac? 1/210 Two letters picked without replacement from {r: 2, t: 1, b: 4}. Give prob of sequence rr. 1/21 Calculate prob of sequence tzt when three letters picked without replacement from {t: 3, z: 9}. 9/220 Calculate prob of sequence bi when two letters picked without replacement from eeeeeiebe. 1/72 What is prob of sequence dddd when four letters picked without replacement from {d: 9}? 1 Two letters picked without replacement from sffsf. What is prob of sequence sf? 3/10 What is prob of sequence yjy when three letters picked without replacement from ynvvnj? 0 Calculate prob of sequence qeeq when four letters picked without replacement from qeeeeqeeeqeeeeeeeeqe. 8/323 What is prob of sequence bj when two letters picked without replacement from {b: 1, j: 1, h: 1, n: 1, m: 1}? 1/20 What is prob of sequence kf when two letters picked without replacement from {k: 1, g: 8, c: 1, f: 1, l: 1}? 1/132 Calculate prob of sequence wz when two letters picked without replacement from {i: 10, z: 2, w: 1, v: 4}. 1/136 Calculate prob of sequence sdq when three letters picked without replacement from sqddqsqsq. 1/21 What is prob of sequence vzvn when four letters picked without replacement from {x: 2, z: 3, c: 2, v: 4, n: 2}? 3/715 Two letters picked without replacement from {q: 1, f: 1, m: 1, a: 1, o: 1}. What is prob of sequence mq? 1/20 What is prob of sequence naha when four letters picked without replacement from {n: 4, h: 1, t: 1, u: 3, a: 8}? 1/255 What is prob of sequence nt when two letters picked without replacement from {n: 7, t: 6}? 7/26 Calculate prob of sequence kdd when three letters picked without replacement from {k: 1, u: 3, d: 2, l: 1}. 1/105 Two letters picked without replacement from {f: 8, k: 5, x: 1, j: 4}. Give prob of sequence jj. 2/51 Calculate prob of sequence hj when two letters picked without replacement from {h: 1, m: 1, j: 1, c: 1, s: 1}. 1/20 Calculate prob of sequence csh when three letters picked without replacement from eusefsfuhuffucufu. 1/2040 Three letters picked without replacement from taqtqattaatkq. What is prob of sequence att? 20/429 Calculate prob of sequence iw when two letters picked without replacement from {i: 1, w: 2}. 1/3 Two letters picked without replacement from yhjyz. What is prob of sequence jy? 1/10 Calculate prob of sequence ho when two letters picked without replacement from yzhogww. 1/42 Calculate prob of sequence vkk when three letters picked without replacement from vkvkvkvvvvvv. 9/220 Three letters picked without replacement from {f: 5, d: 3}. What is prob of sequence dfd? 5/56 What is prob of sequence ltpi when four letters picked without replacement from plliipliitllltlil? 1/357 Calculate prob of sequence el when two letters picked without replacement from lellelelle. 4/15 What is prob of sequence zal when three letters picked without replacement from azhlhzvvavhhvl? 1/273 Two letters picked without replacement from ppoddood. What is prob of sequence oo? 3/28 Four letters picked without replacement from jurmolurrlmmlum. What is prob of sequence uuor? 1/1820 Calculate prob of sequence juju when four letters picked without replacement from guhjuhhjhgajjjhajaud. 1/646 Two letters picked without replacement from {i: 2, w: 3, c: 1, v: 3, r: 1, p: 1}. Give prob of sequence wr. 3/110 What is prob of sequence cb when two letters picked without replacement from {i: 4, y: 1, c: 1, u: 1, b: 2}? 1/36 Two letters picked without replacement from {h: 5, e: 4, n: 2}. Give prob of sequence eh. 2/11 Three letters picked without replacement from hhhtthhtthhhhhhhtt. Give prob of sequence tht. 5/68 Two letters picked without replacement from llggllgzgg. Give prob of sequence lg. 2/9 Two letters picked without replacement from mummhummmjmuhmuu. Give prob of sequence ju. 1/48 Four letters picked without replacement from {k: 9, n: 11}. Give prob of sequence kknk. 77/1615 Three letters picked without replacement from {h: 7, f: 2, q: 9}. What is prob of sequence fhq? 7/272 Two letters picked without replacement from {o: 5, n: 3, s: 2}. What is prob of sequence sn? 1/15 Two letters picked without replacement from uccacmkauaauaukuuua. What is prob of sequence am? 1/57 Four letters picked without replacement from {c: 6, s: 4, j: 3}. Give prob of sequence cjjs. 6/715 Four letters picked without replacement from voovovvvvoovvv. Give prob of sequence voov. 60/1001 Calculate prob of sequence pww when three letters picked without replacement from wwwwwzdwdpwwwwzzpwpw. 11/190 What is prob of sequence edgn when four letters picked without replacement from {e: 2, g: 1, o: 4, d: 7, n: 5, w: 1}? 7/11628 Calculate prob of sequence pxmg when four letters picked without replacement from dmxmsmxdgxgpgdddppmp. 2/1615 Calculate prob of sequence amty when four letters picked without replacement from mmttya. 1/90 Two letters picked without replacement from {t: 1, k: 4, p: 4, r: 2}. What is prob of sequence rr? 1/55 What is prob of sequence yh when two letters picked without replacement from rrehyccyccee? 1/66 Three letters picked without replacement from npp. What is prob of sequence nnn? 0 Calculate prob of sequence tq when two letters picked without replacement from cttttttttttttqtqttqt. 12/95 Calculate prob of sequence iiiw when four letters picked without replacement from iicwwiwiicwiciii. 3/65 Four letters picked without replacement from {h: 1, x: 2, a: 2, l: 1, e: 1}. What is prob of sequence aexx? 1/210 Three letters picked without replacement from {b: 3, e: 3, w: 8, o: 2}. Give prob of sequence woo. 1/210 Three letters picked without replacement from {p: 4, t: 2, h: 4}. Give prob of sequence hph. 1/15 Calculate prob of sequence jsn when three letters picked without replacement from nnjsttjlw. 1/126 Four letters picked without replacement from lgllugahaalaulalgud. What is prob of sequence hdgu? 1/10336 Calculate prob of sequence nnin when four letters picked without replacement from {g: 5, n: 3, i: 1}. 1/504 Calculate prob of sequence xuux when four letters picked without replacement from {u: 2, x: 4}. 1/15 Three letters picked without replacement from ivpppfvfpfffff. What is prob of sequence ffv? 1/26 Calculate prob of sequence sd when two letters picked without replacement from dpgus. 1/20 What is prob of sequence oo when two letters picked without replacement from {o: 7, d: 2}? 7/12 What is prob of sequence hk when two letters picked without replacement from qkqkqqhkqqhkqhcqqk? 5/102 Calculate prob of sequence dgd when three letters picked without replacement from iuxuugdiugdipguguid. 4/969 Calculate prob of sequence eeae when four letters picked without replacement from eeeaeeeeeeae. 4/33 Calculate prob of sequence fllu when four letters picked without replacement from ulufuffuu. 0 Three letters picked without replacement from {p: 5, l: 5, i: 1}. What is prob of sequence llp? 10/99 Calculate p
{ "pile_set_name": "DM Mathematics" }
.992 Product of -13 and 0.0192. -0.2496 What is the product of 0.2 and -0.325? -0.065 Multiply -1.583 and 5. -7.915 -0.5 * -0.46 0.23 0.016 * -4.7 -0.0752 -0.038*9 -0.342 Calculate -1*40.2. -40.2 Calculate -11*4. -44 0.377*0.5 0.1885 Product of 665 and 0.1. 66.5 Work out -0.1 * -0.04. 0.004 Work out -0.35 * -23. 8.05 What is the product of 5 and -3.16? -15.8 0.4 times -1.8 -0.72 0.2 times 33 6.6 0.17 times -0.2 -0.034 -1*-3.51 3.51 What is the product of -3 and -0.037? 0.111 0.05 times -3 -0.15 What is the product of 40307 and 4? 161228 -1.4 * 90 -126 Work out 0.1 * 2068. 206.8 What is 6 times -37? -222 What is -43 times 0.03? -1.29 3 times 232 696 Calculate -0.1*0.0609. -0.00609 0.9*174 156.6 Multiply -1 and 1077. -1077 Calculate -0.3*-0.2342. 0.07026 Work out -712 * 3. -2136 Calculate 6912*3. 20736 What is the product of 0.4 and -220? -88 Work out -2.149 * 0.5. -1.0745 Work out -0.032 * -0.01. 0.00032 What is 0.2 times -17.87? -3.574 Work out -15 * 385. -5775 Multiply -47 and -2.1. 98.7 -4.5324 times 0.3 -1.35972 Product of -4 and 35. -140 395 times 0.5 197.5 -0.8*1.1 -0.88 What is -80 times -0.8? 64 Product of -250 and 7. -1750 Work out 1.1 * -0.31. -0.341 Multiply -2 and -0.152. 0.304 Work out -2 * 9.91. -19.82 What is the product of 0.0129 and -5? -0.0645 What is -1172 times 0.3? -351.6 Product of -957 and 3. -2871 What is the product of 1 and -0.34? -0.34 Calculate 0.3017*-2. -0.6034 -0.5 times -8445 4222.5 Multiply 359.3 and -0.3. -107.79 0.12 times -8.6 -1.032 -0.1354 * -3 0.4062 Calculate -44*-0.5. 22 Multiply -229 and 1. -229 Product of 1.5 and 1498. 2247 -0.4*-15 6 -17960*-5 89800 18.2 * 0.3 5.46 Work out -6 * -0.069. 0.414 What is the product of 321 and 0.007? 2.247 What is the product of 22 and 0.074? 1.628 Multiply 4 and 35.83. 143.32 Calculate 7*661. 4627 0.1249 times -0.18 -0.022482 Multiply -448.9 and 3. -1346.7 Work out -0.124 * -0.2. 0.0248 Multiply 6.341 and 0.4. 2.5364 114.5 * -0.2 -22.9 1 times -63 -63 -1 * 32 -32 Work out 0.5 * 894. 447 What is 0 times -3.5? 0 Product of 0.095 and -0.2. -0.019 -877*0.7 -613.9 -236*4 -944 0.2 * 0.33 0.066 Calculate -0.1*-5165. 516.5 Calculate 36.9*1.7. 62.73 What is the product of 0 and 1067? 0 -0.5*-57.9 28.95 Calculate -5*-9. 45 413 * -22 -9086 What is 4 times 254? 1016 What is 1.3 times -5.8? -7.54 What is -747 times 0.15? -112.05 What is 1 times -31? -31 Multiply 413 and -0.3. -123.9 What is -0.02 times -0.01? 0.0002 Work out -8 * -260. 2080 What is 11 times 4? 44 5*3.037 15.185 Product of 0.05 and -48.91. -2.4455 Multiply 96 and -0.3. -28.8 Work out 0.2115 * -1. -0.2115 -0.2 * -435 87 Product of -0.4 and 0. 0 What is the product of 1 and -5? -5 -0.01398 times -0.1 0.001398 Product of -6 and -43.9. 263.4 Product of 0.02 and 24.2. 0.484 Calculate -5*235.7. -1178.5 What is -0.14 times 3? -0.42 Multiply -0.4 and 0.3. -0.12 What is 0.2 times -1876? -375.2 Product of -0.01 and 0.035. -0.00035 0.107 * 0.7 0.0749 Calculate 243*5. 1215 24*-80 -1920 -5 times 5139 -25695 -1.607 times -17 27.319 0.2 * 0.153 0.0306 Multiply 189 and -0.3. -56.7 What is the product of -10 and -972? 9720 Calculate -10710*-0.5. 5355 Calculate 0.4*-0.772. -0.3088 What is the product of 3 and 10.59? 31.77 What is 6471 times -4? -25884 Multiply -0.02 and -0.013. 0.00026 -598 times 0 0 1.2*0.035 0.042 44*21 924 -4 times -47 188 What is -259 times -0.05? 12.95 Calculate -3*-145. 435 Work out -24 * -0.018. 0.432 -1.295*-4 5.18 Product of -38 and 0.047. -1.786 -0.3363 * 0.3 -0.10089 Multiply -14 and -148.6. 2080.4 What is -6.5 times -0.4? 2.6 What is 0.83 times 0.6? 0.498 -0.04*0.025 -0.001 What is 1613 times 4? 6452 What is 0.1 times 0.4992? 0.04992 Calculate 0.5*-1.397. -0.6985 Calculate -121*5. -605 Calculate -2*-297. 594 Multiply -0.8 and -344. 275.2 Calculate -2*-8. 16 Work out 0.2 * -3.2. -0.64 Work out 0.2 * 0.5916. 0.11832 10 times 19 190 What is -14 times 0.51? -7.14 21*109 2289 What is the product of -0.5 and 7.4? -3.7 -0.5*41 -20.5 What is the product of 234 and 0.2? 46.8 Multiply 9 and -6. -54 Work out -508 * 4. -2032 Multiply 2 and 59. 118 0.71 times 0.2 0.142 0.4 * -6.99 -2.796 -5*-133 665 2 * -121 -242 Work out -5 * 106. -530 Work out 4 * -268. -1072 Product of 253 and -3. -759 4*27 108 -58 * 0.4 -23.2 Multiply -1198 and -0.3. 359.4 Multiply 42.8 and -0.1. -4.28 -0.18 times -67 12.06 What is 0.22329 times -3? -0.66987 What is -309.2 times 0.1? -30.92 Calculate 0.4*-0.313. -0.1252 0.11 * -526 -57.86 Calculate -0.1845*0. 0 What is the product of 0 and 1.6? 0 What is 0.73 times 155? 113.15 -3 times -90 270 Work out 0.209 * -11. -2.299 Product of 0.132 and 0.54. 0.07128 Calculate -28*-16. 448 Work out 937 * 0.4. 374.8 -0.5*0.5068 -0.2534 0.01 times 70 0.7 -155 times -0.02 3.1 Multiply -9 and 101. -909 What is the product of -7 and -10? 70 What is 5 times 154? 770 1244 * -0.2 -248.8 Work out 3 * -20.1. -60.3 What is 0.12 times -0.056? -0.00672 Calculate -12*1.9. -22.8 3 times 965 2895 3 * 5 15 Calculate 0.4*39. 15.6 What is the product of 0.2 and 0.2126? 0.04252 -3.1 * -155 480.5 Work out -0.32 * -913. 292.16 262 times 0.2 52.4 41 times 0 0 428*-2 -856 -28 * 291 -8148 What is the product of 20.7 and -3? -62.1 What is -13 times -3? 39 What is the product of -17 and 38? -646 121*2 242 Work out -186 * 0.2. -37.2 Multiply 2 and -0.218. -0.436 What is the product of 0.03 and -19? -0.57 -492.1 times 0.5 -246.05 Product of -8 and -1. 8 59.98 * -0.1 -5.998 -886*5 -4430 32.4*-4 -129.6 Multiply -17 and 6. -102 Product of -1 and 6. -6 0.5 times 328 164 -0.2*24.8 -4.96 -5 * 36 -180 What is the product of -2.1 and 6? -12.6 Product of -7312 and 3. -21936 46*0.08 3.68 -0.01 times -2552 25.52 3 times 9.7 29.1 Calculate -63*2.5. -157.5 Calculate -5*31. -155 -0.348*0.1 -0.0348 Multiply 3.1 and 0. 0 Multiply 22 and -59. -1298 Product of -0.613 and -2. 1.226 Multiply 97 and -0.1. -9.7 Calculate -2.1*-0.2. 0.42 -0.5 * 2177 -1088.5 Calculate -0.33*-0.9. 0.297 Calculate -1201*0.4. -480.4 0.2*2.9 0.58 178 times 0 0 355 * 0.3 106.5 Work out -113.5 * -0.4. 45.4 0.3 * 2147 644.1 Calculate -0.1134*2. -0.2268 10*-1.3 -13 -31*0.2 -6.2 Work out -4 * -4.324. 17.296 Work out 0.116 * -1. -0.116 What is the product of -22 and 0.5? -11 Work out -5 * -1092. 5460 Product of -56 and 2. -112 -0.267*0.53 -0.14151 What is 7175 times -0.2? -1435 Calculate -0.26*0.48. -0.1248 What is the product of -0.3 and 977? -293.1 Calculate 0.5*-3.4. -1.7 Calculate -27.3*3. -81.9 What is 2101 times 1? 2101 9905 times 0 0 Multiply -0.3 and 6105. -1831.5 Multiply -24 and -13. 312 13 * 0.12 1.56 Work out 0.5 * 2286. 1143 Product of -4.4 and 0.1. -0.44 Product of -10 and 1.13. -11.3 What is 5 times 1.4? 7 -855 * 1 -855 What is 0.35 times 1.4? 0.49 Calculate -12*0.1. -1.2 Work out 0.13 * 23. 2.99 0.334*4 1.336 -711*-0.19 135.09 Multiply -0.4 and -0.4. 0.16 Product of 4 and 170.9. 683.6 What is the product of 0.0653 and 17? 1.1101 What is the product of -396 and 4? -1584 What is the product of 0.514 and 0.3? 0.1542 What is the product of 13 and -0.692? -8.996 What is -0.5 times -72? 36 Calculate -5*-80. 400 0.8*115 92 Work out -0.4 * 23.9. -9.56 0.15 times 1.86 0.279 -1025 * -0.2 205 Product of -0.5 and -10.4. 5.2 -6171 * 3 -18513 What is 0.5 times 47? 23.5 What is the product of 5 and 1.1? 5.5 What is 5 times 619? 3095 Work out -24.9 * 13. -323.7 What is 1 times -3.39? -3.39 What is -1.603 times -1? 1.603 What is -5 times -2419? 12095 Product of -21.6 and -0.1. 2.16 What is the product of -7.8 and -0.1? 0.78 Work out -0.04 * -2.1. 0.084 0.9*-19 -17.1 Multiply -0.4 and 0.00472. -0.001888 Calculate -10*-0.12. 1.2 Product of 13.5 and 2. 27 Product of 0.3 and 0.39. 0.117 Product of 508 and 0.3. 152.4 What is -18 times 1.05? -18.9 8*0.0302 0.2416 -1*-7394 7394 263 * 0.5 131.5 0.2 times 62 12.4 Calculate -0.1*-5775. 577.5 48.058*0.4 19.2232 -0.4 times 15 -6 What is the product of 0.2 and -33? -6.6 What is 6162 times 0.3? 1848.6 What is 28 times 0.2? 5.6 -0.5 * 0.0197 -0.00985 Calculate -6*-10.69. 64.14 Multiply -39.5 and -0.2. 7.9 Multiply 422 and -23. -9706 Multiply 0.025 and -0.1. -0.0025 Work out 0 * -0.026. 0 0.5*824 412 14.7*0.2 2.94 What is 23 times -0.34? -7.82 Multiply -3 and -41.6. 124.8 What is 4 times -2215? -8860 Product of -6 and 0.249. -1.494 Work out -0.3 * 58
{ "pile_set_name": "DM Mathematics" }
v + 746 = 12002 + 10375 for v. 97 Solve 788*x - 4885 = -23443 + 9443 - 40529 for x. -63 Solve -215 - 15 = -83*b + 517 for b. 9 Solve 1447*b + 152279 - 61399 = 4391*b - 82816 for b. 59 Solve 0 = -511*x - 2535*x + 17645 - 37026 - 62861 for x. -27 Solve 431337 = -57*w + 429228 for w. -37 Solve -3325*r + 10103*r - 494794 = 0 for r. 73 Solve -28143*b = -27955 - 2898917 for b. 104 Solve -282052*y + 1100 = -564130*y + 282067*y for y. -100 Solve -168*d + 1545 = -65*d for d. 15 Solve -859*n = 50*n + 56405 - 6410 for n. -55 Solve -1057*p + 5266 = -10589 for p. 15 Solve -101442*b - 648 = -101415*b for b. -24 Solve -12612*i - 637442 = -222003 + 606133 for i. -81 Solve 8299*q - 8510*q = -7174 for q. 34 Solve -108 - 2663 = -78*z - 275 for z. 32 Solve 138*l + 1312 + 383 = 196 + 119 for l. -10 Solve 7*n + 47*n - 968 = -3105 - 347 for n. -46 Solve -499*x + 243*x - 5184 = 392*x for x. -8 Solve -1082*n + 3644 + 3508 = 73154 for n. -61 Solve 966 - 43849 = 967*x - 264*x for x. -61 Solve 754*q - 679 = -5957 for q. -7 Solve -114206*l + 113781*l + 6485 = -12215 for l. 44 Solve 2573*s + 3228 = 29438 + 44462 + 16810 for s. 34 Solve -54*p = 1481*p - 14066 - 4354 for p. 12 Solve 5748 = -84*o + 1632 for o. -49 Solve -466*w + 10739 + 3820 + 7343 = 0 for w. 47 Solve 124*b - 17199 = -154*b - 163*b for b. 39 Solve 0 = -2768*x - 1256*x + 655*x + 380697 for x. 113 Solve 5141*r = -173081 + 476400 for r. 59 Solve -766*v - 1129 = 23383 for v. -32 Solve -890*a - 14873 = 6487 for a. -24 Solve 255*c - 870*c = 1203*c + 507*c - 234825 for c. 101 Solve -175*z = 86808 - 81558 for z. -30 Solve -877138 = 20318*z + 1296888 for z. -107 Solve -5937 = 1155*d + 56433 for d. -54 Solve -439*w = 212618 - 204716 for w. -18 Solve -3460 = 1253*u - 1557 + 5615 for u. -6 Solve 227*c - 2220 - 16436 = -939*c for c. 16 Solve 0 = 219*b - 3302 - 376 - 2235 for b. 27 Solve -21*p - 904 = -379 for p. -25 Solve -7512*s = -28737 - 3432 - 80511 for s. 15 Solve 25934 = -199*g - 118*g + 63*g + 6630 for g. -76 Solve 23*r - 498 = 7*r + 965 + 265 for r. 108 Solve -75860*n - 3422 = -75742*n for n. -29 Solve 10808*w = 10009*w + 40749 for w. 51 Solve 394*x - 2158*x - 137026 = 2467*x - 10096 for x. -30 Solve 251*k + 244 - 631 - 529 = -163 for k. 3 Solve -179691 + 180443 = -118*w - 70*w for w. -4 Solve 509*g + 263*g - 33196 = 0 for g. 43 Solve 11760 = 891*r - 2496 for r. 16 Solve 107*p - 14848 = -148*p - 282*p + 25*p for p. 29 Solve 1459*g = 721*g + 691*g + 2914 for g. 62 Solve 24*u + 214 - 52 = -30 for u. -8 Solve 176*x + 592 + 192 = 5888 for x. 29 Solve 3855 + 352 = 219*j - 1505 - 201 for j. 27 Solve 27*w - 128398 = -1061*w - 405*w for w. 86 Solve 612*n + 842 + 212 - 4861 = 531*n for n. 47 Solve 13*q + 408 + 1128 = -2*q - 49*q for q. -24 Solve 12503*w + 146725 = 609336 for w. 37 Solve -1969*z + 128990 + 225190 = 4327*z - 86540 for z. 70 Solve 0 = 274*i + 223*i - 568*i - 2840 for i. -40 Solve -328*p - 57*p - 87*p - 24518 = 126*p for p. -41 Solve -5772*p + 48555 = -5025*p for p. 65 Solve -413*i - 8250 = -802*i + 639*i for i. -33 Solve 3587*f - 4171*f - 15184 = 0 for f. -26 Solve -7970 - 8442 + 508 = 1163*c - 27*c for c. -14 Solve 550*h - 34767 = -3313*h for h. 9 Solve 279*o - 10760 - 13763 - 15077 = -51*o for o. 120 Solve 407*g + 382*g + 5329 + 26231 = 0 for g. -40 Solve 22591*t - 3087*t - 1209248 = 0 for t. 62 Solve -200*i = 115298 - 117698 for i. 12 Solve -29112*k + 4085 = -29017*k for k. 43 Solve 45*n + 172*n - 29526 = -301*n for n. 57 Solve -25553 = 4890*h + 1167 + 12400 for h. -8 Solve 9664*a - 483956 - 653891 + 3707 = -51772 for a. 112 Solve -183*p - 15936 = 42*p + 8139 for p. -107 Solve 4108*h = 4004*h - 1617 + 4529 for h. 28 Solve 7041*m + 1760 = 6936*m + 7850 for m. 58 Solve -64666 + 313205 = -2413*i for i. -103 Solve -10*y + 206*y - 23*y = 6747 for y. 39 Solve -33*g - 55*g + 117*g = 53*g - 1104 for g. 46 Solve -6*j - 248*j + 38*j - 518 = -4406 for j. 18 Solve -13923*f - 2585261 = 4676*f for f. -139 Solve 461251*a + 1330 = 461213*a for a. -35 Solve -1680 - 6158 - 711 = 71*m + 12*m for m. -103 Solve 1687 + 1196 = -43*u + 561 for u. -54 Solve 30*p = -605267 + 604937 for p. -11 Solve 4216*l - 26416*l = 18731*l - 10334*l - 2753730 for l. 90 Solve 261*l - 11442 - 15055 + 7966 = 0 for l. 71 Solve -15*o - 4137 = -3102 for o. -69 Solve 37*z + 47*z - 768 = 31*z - 238 for z. 10 Solve 188708 = 3428*r - 186956 + 60288 for r. 92 Solve 16036 = -705912*r + 705701*r for r. -76 Solve 127*c - 4120 = 6*c - 4967 for c. -7 Solve 3476*k + 1350*k + 217170 = 0 for k. -45 Solve -93*c - 61*c + 41*c = 15*c - 10240 for c. 80 Solve 3676*m - 3970*m - 15037 = -3277 for m. -40 Solve -175*b - 69*b + 598 = -334*b - 6692 for b. -81 Solve -26328*s + 1576407 + 1068993 = 126*s for s. 100 Solve -267*q = -1548*q + 46395 - 9246 for q. 29 Solve -312*y + 513*y - 3073 + 2955 = -8359 for y. -41 Solve 5857*q = 1315*q - 9948*q - 86940 for q. -6 Solve -567*h - 1688*h - 153340 = 0 for h. -68 Solve -138*k + 1992*k + 1567*k - 2734 = 687*k for k. 1 Solve -3402*t = -3833*t - 9482 for t. -22 Solve 0 = 2*f - 40 - 96 - 31 + 103 for f. 32 Solve -184*q + 101058 = 105658 for q. -25 Solve 459*w + 51*w - 1880 = 40*w for w. 4 Solve -28479 = -1193*f + 40803 + 16614 for f. 72 Solve 58159 = 942*s - 6839 for s. 69 Solve -131*z - 93546 = -88568 for z. -38 Solve 2075*w + 485498 = -1614*w - 3149*w for w. -71 Solve 944 + 601 + 252 = 82*r + 2945 for r. -14 Solve -688*y - 43151 = 580*y - 2575 for y. -32 Solve -59732*t = -59587*t - 4060 for t. 28 Solve 5599*r - 95900 = -3991*r for r. 10 Solve -181209*o + 181376*o = 3173 for o. 19 Solve -65*j + 58*j - 87 - 96 - 69 = 0 for j. -36 Solve -1921*s + 14747 = -220*s + 67478 for s. -31 Solve 0 = -61374*p + 61184*p + 3800 for p. 20 Solve 420*f - 22894 = -582*f + 50252 for f. 73 Solve -148*p - 2208 - 6196 - 6073 = -713 for p. -93 Solve 1571*o - 6245*o + 55880 + 21990 = 1316*o for o. 13 Solve -112*v + 611*v - 6228 = 1472*v + 1103*v for v. -3 Solve 236225444*b - 6302 = 236225398*b for b. 137 Solve 3514 = 169*i - 2232 for i. 34 Solve 0 = -9275*x + 9488*x - 20022 for x. 94 Solve 46*w - 33*w = -60*w + 4453 for w. 61 Solve -219*s + 54155 + 9595 = -64*s + 355*s for s. 125 Solve 0 = 2465*l + 626*l + 9588*l + 382780 + 809046 for l. -94 Solve 13648*s = 13594*s - 2160 for s. -40 Solve -1282 - 2372 - 17 - 2881 = -168*m for m. 39 Solve -7956 = 222*a - 10*a + 176*a + 968 for a. -23 Solve -9139*a = -4529*a - 4527*a + 2490 for a. -30 Solve 0 = 81*o + 302*o + 195 + 188 for o. -1 Solve 391*c - 41720 + 8876 = 0 for c. 84 Solve 0 = -592*p + 1676 + 2330 + 266 + 464 for p. 8 Solve 145*q - 151*q = -210 for q. 35 Solve -5432 - 1122 = 226*g for g. -29 Solve 8315*r = -9100 - 148885 for r. -19 Solve -311*t + 87*t - 6115 = 145*t + 3110 for t. -25 Solve 0 = 109*o - 4642*o + 122391 for o. 27 Solve 47635 - 61803 = 644*j for j. -22 Solve 70*x + 1749 = -73*x - 2970 for x. -33 Solve -216*w = -1345*w + 14677 for w. 13 Solve 165066 = -226*p + 162354 for p. -12 Solve -472*w + 610 = 419*w - 1013*w for w. -5 Solve -215*g = -150*g + 241*g + 234*g + 70200 for g. -130 Solve -323*g = -7845 + 637 + 3009 for g. 13 Solve 5527*p + 138941 = -63542 + 36673 for p. -30 Solve -14214*p - 214677 - 212428 = 1108007 for p. -108 Solve 1498 + 2772 = -37*x + 118*x + 41*x for x. 35 Solve -117*d = -236*d - 1547 for d. -13 Solve -49*z + 27121 = 29865 for z. -56 Solve -11*l = -273930 + 273952 for l. -2 Solve 0 = 64*s + 755*s - 4914 for s. 6 Solve 601*q + 652*q + 776*q + 3234 = 37727 for q. 17 Solve 495*c + 3839 = -3586 for c. -15 Solve -1033*l = -6198*l - 201435 for l. -39 Solve 991 + 2062 = 71*s for s. 43 Solve -101*u + 8675065 = 8686579 for u. -114 Solve 1263*a + 32178 = -1102*a - 1857 - 6170 for a. -17 Solve -20724*p - 7680 = -21204*p for p. 16 Solve 373 = -67*h - 11*h + 1153 for h. 10 Solve 150*z + 140*z + 18121 + 5364 = -15*z for z. -77 Solve 2991*p - 356*p + 1701*p - 211204 = 18604 for p. 53 Solve -155*l = -581*l + 9372 for l. 22 Solve -516*a - 212*a + 86 = -1898 - 928 for a. 4 Solve 1048 + 33 = 7548*x - 20805 - 46046 for x. 9 Solve -14379491*i = -14379146*i + 38985 for i. -113 Solve -88*w + 2121 - 1086 + 1696 = -1757 for w. 51 Solve -12189965*n + 12189918*n = 3008 for n. -64 Solve 258*a - 296 = -9842 for a. -37 Solve 4179*g - 46676 - 56084 + 6643 = 0 for g. 23 Solve 138*v - 228 = 100*v - 629 - 20
{ "pile_set_name": "DM Mathematics" }
) 0.4 c Let w(a) = -a**2 + 9*a - 35. Let i be w(7). Let g be 21/14*(-2)/3. What is the nearest to -0.1 in i, -0.2, g? -0.2 Let g = 85.31 + 1.69. Let f = -137 + g. Let t = f + 50. What is the closest to 0 in -2/11, -1, t? t Let o = -1 - -2. Let z = 7221.1 + -7220. Which is the closest to o? (a) z (b) -4 (c) -0.5 a Let d be (-2 - -4 - -2)*-1. Let i(o) = -2*o + 51. Let t be i(23). Suppose -2*k + 6 = t*y + 9, -3*y + 7 = -k. Which is the closest to y? (a) 4 (b) d (c) 2 c Let k = 14 + -10. Let h = -586 - -586.0181. Let y = -0.1181 + h. What is the closest to y in -1, -4, k? -1 Let x = 20 + -21. Let k = 60262/5 - 12053. Which is the nearest to 1? (a) 1/6 (b) k (c) x a Let y = -5.55 + 8.55. Let f = -100.4 + 100. Which is the nearest to -5? (a) y (b) 1/4 (c) -1 (d) f c Let m(x) = x**2 - 9*x + 8. Let y be m(1). Suppose -25*p - 41 - 34 = y. What is the nearest to 2 in 1, 6, p? 1 Let m = -321.5 - -319. Let i = 2.7 + m. What is the nearest to -2/5 in 48, 0.5, i? i Let f = -0.2 - -1.2. Let v = 298 - 281.5. Let p = 14.5 - v. What is the closest to f in p, 1, 2/5? 1 Let r be (3/(-6)*8 - -6)*18/36. What is the closest to 5 in r, -0.4, 1/7, 2? 2 Suppose -4*z + 19 = -3*x, -4*x - 2*z + 5 = 1. Let k = 0.012 + -66.012. Let g = -70 - k. Which is the nearest to x? (a) 0.2 (b) g (c) 5 a Let x(i) = -i**3 + 45*i + 118. Let o be x(-4). Which is the nearest to 0.1? (a) 5/2 (b) -3 (c) o (d) 50 c Let l be (-3)/2*286/2145. Which is the closest to 2? (a) 1 (b) 1282 (c) l a Let d = -6.498 - -8.498. Let y = 16.1 - 17. Let o = -5/2 + 3. Which is the nearest to d? (a) -0.1 (b) o (c) y b Let u = 38731/3 + -12905. Which is the closest to 0.2? (a) 0.4 (b) 10 (c) u a Let m = -290 + 428. Let h = m + -141. Which is the nearest to 1/2? (a) 8 (b) h (c) 5 (d) -1 d Let q = -0.846 - -0.846. Let z = 8 + -4. Suppose 0 = z*w + w - 15. What is the nearest to q in w, -0.5, 4? -0.5 Let o = -0.3 + 9.3. Let n = o + -6. Suppose 0 = -5*y + 3*z - 8*z - 15, 2*z - 1 = 5*y. What is the closest to 0.2 in y, -4, n? y Let p(n) = n**3 + 17*n**2 + 58*n - 4. Let o be p(-5). What is the closest to 1 in o, -3, 1.3? 1.3 Let f = -2189 + 2185. Let g(m) = m**2 + 6*m + 4. Let y be g(-4). Let n(o) = o + 5. Let q be n(y). Which is the closest to q? (a) f (b) 0 (c) -5 b Let j = 28/27 + -19/27. Which is the nearest to -1? (a) 0.3 (b) j (c) -0.113 (d) 8 c Let g = -0.11 + 2.11. Suppose 9 - 5 = v. Let w be (1/(-2))/(v/40). Which is the nearest to g? (a) w (b) 0.5 (c) 0 b Let r = 0.0517 - 0.3517. Let h be 1 + 1 - (-3)/(-2). What is the closest to 1/4 in -4, 0.2, r, h? 0.2 Let n = 100 - -51. Let u = -150.8 + n. Which is the nearest to 0.1? (a) u (b) -1/10 (c) -0.5 a Let w = -0.74 - 0.26. Let r = -1373.2 + 1373. Which is the nearest to w? (a) 5 (b) 1 (c) r c Let s = -340/13 + 5074/195. Which is the nearest to -2/3? (a) 4 (b) -1/36 (c) s (d) 0.2 c Let i = -2394 + 7184/3. Which is the closest to 13? (a) 1 (b) i (c) -3/2 (d) -0.5 a Let o = 3 - 1. Let x be (3/(-21) - o) + 2. Let v = 34340/120141 - 2/17163. Which is the nearest to v? (a) -0.4 (b) x (c) -2 b Let n = 407724/43 + -9482. What is the nearest to 1 in n, 1/16, -0.1, 2/9? 2/9 Suppose y - 21 = 3*x + x, 8 = -2*x - 2*y. Let u = -9604 - -9603.5. Which is the nearest to 3/2? (a) u (b) x (c) -0.06 c Let s be (-6)/21 + (-13)/(-21). Let w = -496601/3 + 165533. Which is the nearest to w? (a) s (b) 3 (c) -6 (d) -4 a Let c = -35639.2 - -35639. Let u be (-11)/(-77)*(-7)/(-4). What is the nearest to c in -1, -4, u? u Let f(m) = 12*m - 18 - m**2 - 28*m - 3. Let n be f(-15). Let t be (-12)/36*n/(-8). Which is the nearest to 0? (a) t (b) 3 (c) -0.2 c Let i = -56.9 - -51.9. Let v = 0.1 - -0.4. What is the nearest to 3.9 in v, -2/3, i? v Let w be 3 + (-360)/189 - ((-48)/(-14) + -3). Which is the nearest to -1/14? (a) 3/4 (b) w (c) -0.4 (d) 4 c Suppose 0 = -2*k + 2*b + 4, k - 5 = 2*b - 2. What is the nearest to k in 11, 2/5, 10/7, 0.2? 10/7 Suppose 4*p + 0 = -8. Let y = 196.646 - -0.354. Let w = y + -202. Which is the closest to 4? (a) w (b) -4 (c) p c Let s = -311 + 311.2. Let m = -34 + 36.2. Let l = 2.5 - m. What is the closest to -2/5 in l, s, -0.3? -0.3 Let x = -1294 + 1300. Which is the closest to x? (a) -4 (b) 2 (c) 4/5 (d) -1 b Let y = -0.31 - -42.31. Let g = y - 46. Let l be -1*48/(-20) - 2. What is the closest to l in g, 0.4, 0? 0.4 Suppose -7*z - 3*g - 32 = -3*z, 21 = -z - 4*g. Let q = 1235.5 - 1235.2. Which is the closest to q? (a) 4/3 (b) z (c) 0.3 c Let i = -12456 - -12456.02. Suppose -5*y + 5*p = -20, 0 = 5*y + 2*p + 12 - 4. What is the nearest to y in i, 3, 2? i Let r be ((-5)/11)/((-348)/(-638)). Which is the nearest to r? (a) 2 (b) -3/5 (c) -11/28 b Let q = -3.1 - -4.65. Let j = -3.45 - q. Let r = -0.6 - -5.6. Which is the nearest to -1/5? (a) r (b) 2 (c) j b Let i = -76 + 88. Suppose i = -499*l + 502*l. Which is the closest to -2? (a) -1/7 (b) 2/15 (c) l a Let x = 24462 + -24474. What is the closest to -0.2 in -5, x, -145? -5 Let l = 234 + 31. Let t = l + -265.3. What is the closest to 2/7 in 0.8, t, 4, 0.3? 0.3 Let f be ((-3)/(-5) - (-85)/(-100)) + (-9)/(-84). Which is the nearest to 6? (a) -3/17 (b) f (c) -2/9 b Let o = 0.08 + -0.28. Let w = -375 - -375.5. What is the nearest to -0.1 in w, o, 3/5? o Let y = 11749 - 11757. Which is the nearest to -2/13? (a) y (b) 1 (c) 2/15 (d) -0.1 d Let o = 11929 - 11929.1. Which is the nearest to -0.1? (a) 0 (b) o (c) -48 b Let v = 11834 + -11828. What is the nearest to -0.3 in -2, v, 3/5, 1/7? 1/7 Let h(i) = -372*i + 266*i + i**2 + 102*i. Suppose -3*n + 1 = -11. Let y be h(n). What is the nearest to y in 0.3, 1, 17? 0.3 Let q = 7343 - 7343.3. Let s = 3 - -1. Let u = 0.25 - -2.75. Which is the closest to u? (a) q (b) s (c) -2 b Let t be 73/(-15) - (-5 + (11 - 11)). Let j = 28.7 + -26. Which is the nearest to -0.1? (a) j (b) t (c) -3/5 b Let d = -29.8 + 44.6. Let n = d - 14.7. What is the closest to 0 in 0.04, n, 5, -1? 0.04 Let o be -1*10/2 - -4. Let z be (o/(-6))/(9/(-27)). Let m = -53 + 49. Which is the closest to z? (a) 1/4 (b) -3 (c) m a Let t = 3 - 2.6. Let j be 0 - 2 - (2 - (0 + -2))*-2. Which is the closest to j? (a) 0 (b) t (c) -2 b Let o = -1468 - -7369/5. Which is the nearest to 2? (a) o (b) -1 (c) -0.5 c Let s(p) = 2*p**3 + 26*p**2 + 96*p - 2. Let r be s(-5). Which is the nearest to 0? (a) 1/3 (b) -3 (c) r a Let k = 59.3 - 59.18. Let r = 21 + -19. Which is the nearest to 1? (a) k (b) r (c) -0.2 a Let v = 23387/3 + -7794. Which is the closest to -0.1? (a) v (b) -1/14 (c) 3 (d) 5/4 b Let b(m) = -m**3 - 7*m**2 - 8*m - 9. Suppose 3*f - 5*i + 31 = -123, 2*f + 3*i = -90. Let d be (1/2)/(4/f). Let n be b(d). What is the nearest to 2 in 2/3, n, 2? 2 Let s = 739 - 741. Let t = 44 + -302/7. Suppose 0 - 5 = 5*m + 3*f, 0 = -2*m - 5*f - 2. What is the closest to m in t, s, -3/5? -3/5 Let w = -6181/9 + 687. Let u = -272 - -1362/5. Let b = 2 + -5. What is the nearest to w in b, u, 0? u Suppose -204 + 49 = -31*k. Suppose 5*m - 16*v = -17*v - 16, -k*v - 2 = -m. What is the closest to 2/3 in 0.2, -2/27, m? 0.2 Let f = -32/109 + 43/3488. What is the nearest to f in 2/5, -0.2, -4/3, 13/4? -0.2 Let o = 435 + -434. Suppose h = -3*l + 5, 19*h + 5*l = 15*h + 13. What is the nearest to o in -1/10, h, 1/20? 1/20 Let v(g) = 39*g - 236. Let q be v(6). Let f(c) = -7*c**3 - 2*c**2 + 1. Let l be f(1). Let x be 5/l*8/40. What is the closest to q in -1/4, 3/4, x? -1/4 Let h = 103.3 + -103.2. Suppose -2*i = 2*i + 44. Let p = i - -14. Which is the closest to 1/4? (a) 0 (b) p (c) h c Let h = 0.45 - -0.028. Let n = -0.278 + h. What is the closest to n in 11, 2, 0? 0 Let s = 134 + -131.53. Let o = s - 2.07. Which is the closest to 3? (a) o (b) -0.2 (c) 1 c Let t = -124 - -127. Let a be -6*(-14)/(-84)*0/(-2). Let d(y) = y + 1. Let z be d(-2). What is the closest to z in a, 1, t? a Let p = 106 - 110. Let n = p - -4.5. Let v = -0.1 + 0. Which is the nearest to v? (a) -5 (b) n (c) 1 b Let r = 3329 - 3333. What is the nearest to -6/7 in r, 2/5, 1/34? 1/34 Suppose -2*a + 10 = -5*y, -4*a + 4*y + 11 + 21 = 0. Suppose -4*w + 6 = -a. Suppose -w*c - 2*u = 6, -c = -3*c + u - 9. What is the closest to 1 in -1, -1/4, c? -1/4 Let f be -11
{ "pile_set_name": "DM Mathematics" }
b**4/2 + 62728*b**3 - 1530*b**2 = 0. -765, 0, 2/41 Suppose 5*i**2/2 + 8360*i = 0. What is i? -3344, 0 Find k such that -5*k**5 - 248*k**4/3 - 1054*k**3/3 - 1636*k**2/3 - 947*k/3 - 44 = 0. -11, -3, -4/3, -1, -1/5 Factor 4*z**3 - 344*z**2 + 332*z + 680. 4*(z - 85)*(z - 2)*(z + 1) Factor 5*d**2 - 16310*d - 32640. 5*(d - 3264)*(d + 2) Solve 2*w**2/21 + 580*w/21 - 1184/7 = 0. -296, 6 Let w**2 - 3119*w + 24888 = 0. Calculate w. 8, 3111 Factor 12*m**2 + 235700*m - 550032. 4*(m + 19644)*(3*m - 7) Let v**4 - 86*v**3 - 607*v**2 + 5060*v = 0. Calculate v. -11, 0, 5, 92 Let 5345*x**2 - 37400*x - 105 = 0. What is x? -3/1069, 7 Factor 3*h**2 + 1497*h + 43524. 3*(h + 31)*(h + 468) Suppose h**3 - 134*h**2 + 4209*h + 19044 = 0. Calculate h. -4, 69 Let 49*w**5/4 + 13503*w**4/4 + 189151*w**3/4 + 731445*w**2/4 + 93226*w + 12789 = 0. Calculate w. -261, -7, -2/7 Let -4*h**5 - 168*h**4 + 1584*h**3 + 16416*h**2 - 196992*h + 497664 = 0. What is h? -48, -12, 6 Factor -3*c**5 + 2811*c**4 + 16947*c**3 + 25461*c**2. -3*c**2*(c - 943)*(c + 3)**2 Factor 2*k**2 - 610*k - 12312. 2*(k - 324)*(k + 19) Let -3*i**5 - 183*i**4 - 3921*i**3 - 34881*i**2 - 121968*i - 143748 = 0. Calculate i. -22, -11, -3 Let 2*y**2/17 + 922*y/17 - 15264/17 = 0. Calculate y. -477, 16 Let -2*l**5/9 - 15668*l**4/9 - 30670106*l**3/9 + 20462408*l**2/3 - 3411272*l = 0. What is l? -3918, 0, 1 Find p such that p**3/7 - 427373*p**2/7 + 45662133968*p/7 - 45661706596/7 = 0. 1, 213686 Determine n, given that n**4 - 104657*n**3/2 - 261651*n**2/2 - 209323*n/2 - 52331/2 = 0. -1, -1/2, 52331 Factor -2*k**2/5 - 238786*k/5 + 238788/5. -2*(k - 1)*(k + 119394)/5 Factor 2*n**2/5 - 27408*n + 469499040. 2*(n - 34260)**2/5 Determine p, given that -2*p**5 + 124*p**4 - 1508*p**3 + 4720*p**2 - 5402*p + 2068 = 0. 1, 2, 11, 47 Let -2*v**3/15 - 248*v**2/15 - 3042*v/5 - 6048 = 0. Calculate v. -63, -45, -16 Factor 5*w**2 - 465*w - 3500. 5*(w - 100)*(w + 7) Factor -s**3/6 + 17557*s/6 + 2926. -(s - 133)*(s + 1)*(s + 132)/6 Determine f, given that 2*f**3/3 + 2900*f**2 + 26086*f/3 + 5796 = 0. -4347, -2, -1 Factor 5*b**3 - 13685*b**2 + 81930*b. 5*b*(b - 2731)*(b - 6) Let -9*j**4 + 23428*j**3 - 72821*j**2 + 54602*j - 5200 = 0. What is j? 1/9, 1, 2, 2600 Solve -4*g**2/7 - 275416*g/7 - 275412/7 = 0 for g. -68853, -1 Factor z**2/4 - 27337*z/4 - 68355/2. (z - 27342)*(z + 5)/4 Determine l, given that -3*l**3/7 - 195*l**2/7 - 912*l/7 - 720/7 = 0. -60, -4, -1 Factor -5*q**2 + 16150*q + 210795. -5*(q - 3243)*(q + 13) Suppose 5*h**4 + 34805*h**3 + 104370*h**2 = 0. Calculate h. -6958, -3, 0 What is i in -4*i**2 - 601832*i - 22637609764 = 0? -75229 Factor h**3/5 + 851*h**2/5 + 14103*h + 308205. (h + 45)**2*(h + 761)/5 Solve -4*j**3/5 - 2898*j**2/5 + 42958*j/5 + 70944/5 = 0. -739, -3/2, 16 Solve 2*i**2 - 1321*i/3 + 2570 = 0. 6, 1285/6 Factor 2*b**2 + 9924*b - 29790. 2*(b - 3)*(b + 4965) Find m, given that 12482*m**4/3 + 17538*m**3 + 184*m**2/3 - 15616*m - 6144 = 0. -4, -48/79, 1 Factor -5*f**3 + 32285*f**2 + 290930*f + 258640. -5*(f - 6466)*(f + 1)*(f + 8) Factor 5*c**2 - 115815*c + 463180. 5*(c - 23159)*(c - 4) Solve -81*f**5 - 116523*f**4 + 519089*f**3 - 564089*f**2 + 178920*f - 17316 = 0. -1443, 2/9, 1, 3 Factor 5*d**4 - 855*d**3 - 890*d**2 + 5160*d. 5*d*(d - 172)*(d - 2)*(d + 3) Let 5*f**3 + 370*f**2 + 1475*f - 17250 = 0. What is f? -69, -10, 5 What is q in 2*q**3 - 133748*q**2 + 267488*q = 0? 0, 2, 66872 Let q**2 - 473182*q + 55975301281 = 0. Calculate q. 236591 Solve -d**5/5 - 38*d**4/5 + 51*d**3/5 + 472*d**2/5 + 28*d - 624/5 = 0. -39, -2, 1, 4 Suppose -2*f**4/7 + 108*f**3/7 + 1410*f**2/7 + 1300*f/7 = 0. What is f? -10, -1, 0, 65 Let 42*y**4/11 + 111582*y**3/11 - 31926*y**2/11 - 111582*y/11 + 31884/11 = 0. What is y? -2657, -1, 2/7, 1 Suppose b**5 - 95*b**4 - 203*b**3 + 871*b**2 + 202*b - 776 = 0. What is b? -4, -1, 1, 2, 97 Factor -2*h**3/3 + 6902*h**2 - 17860650*h - 53602658/3. -2*(h - 5177)**2*(h + 1)/3 Suppose -18*y**3/11 + 56740*y**2/11 - 69326*y/11 + 12604/11 = 0. Calculate y. 2/9, 1, 3151 Factor -11*a**2 - 145*a - 26. -(a + 13)*(11*a + 2) Suppose -2*b**4/5 - 218*b**3/5 - 116*b**2 + 6056*b/5 + 2544 = 0. Calculate b. -106, -6, -2, 5 Factor -2*z**2 + 6048*z - 344056. -2*(z - 2966)*(z - 58) Let -2*n**2/3 - 453928*n/3 - 25756328648/3 = 0. What is n? -113482 Find h such that 3*h**5/2 + 978*h**4 + 8721*h**3 + 26082*h**2 + 52083*h/2 = 0. -643, -3, 0 Solve p**5/5 - 50*p**4 + 2176*p**3/5 - 1678*p**2/5 - 2177*p/5 + 1928/5 = 0. -1, 1, 8, 241 Suppose 2*w**4/3 - 3044*w**3/9 + 1122*w**2 - 9076*w/9 + 224 = 0. What is w? 1/3, 1, 2, 504 Factor -3*s**2/5 + 388149*s/5 + 1164474/5. -3*(s - 129386)*(s + 3)/5 Let 4*f**2 + 9752*f + 19488 = 0. What is f? -2436, -2 Determine l so that 2*l**5/17 - 7694*l**4/17 + 418448*l**3 + 550151072*l**2/17 + 10500456960*l/17 + 9957427200/17 = 0. -36, -1, 1960 Let -c**4 - 20*c**3 + 544*c**2 + 10496*c + 43008 = 0. Calculate c. -28, -8, 24 Factor -t**3 - 2166*t**2 - 1175052*t - 2341448. -(t + 2)*(t + 1082)**2 Solve h**2/4 + 12394*h - 148737/4 = 0 for h. -49579, 3 Factor p**3 + 434*p**2 - 871*p + 436. (p - 1)**2*(p + 436) Solve -2*d**4/21 - 1114*d**3/21 - 31072*d**2/21 - 33848*d/3 - 9856 = 0 for d. -528, -14, -1 Factor 3*a**2 - 36558*a + 111373947. 3*(a - 6093)**2 Let -g**5/3 - 42652*g**4/3 - 1278913*g**3/3 - 10783786*g**2/3 - 17901436*g/3 - 8353912/3 = 0. What is g? -42622, -14, -1 Determine w so that 6*w**3 + 33369*w**2 + 116733*w + 83370 = 0. -5558, -5/2, -1 Factor -5*h**2 - 417040*h + 834100. -5*(h - 2)*(h + 83410) Factor -12*i**3 + 150261*i**2 - 470363886*i - 117600363. -3*(i - 6261)**2*(4*i + 1) Factor -4*i**3/9 - 36284*i**2/9 - 82010236*i/9 + 412776980/3. -4*(i - 15)*(i + 4543)**2/9 Suppose -4*d**2/7 - 356168*d/7 + 356196 = 0. Calculate d. -89049, 7 Let -3*a**4 + 2523*a**3/5 - 64116*a**2/5 = 0. What is a? 0, 156/5, 137 Factor -3*x**5 + 28470*x**4 + 56949*x**3 + 28476*x**2. -3*x**2*(x - 9492)*(x + 1)**2 Determine m, given that -4*m**4 + 76*m**3 + 5568*m**2 = 0. -29, 0, 48 Factor o**2/3 - 138*o + 42449/3. (o - 227)*(o - 187)/3 Factor 2*y**4/9 - 21256*y**3/9 + 56306888*y**2/9 + 301665152*y/3 + 402825728. 2*(y - 5322)**2*(y + 8)**2/9 Determine o, given that -15*o**3/2 + 473052*o**2 - 14918357091*o/2 - 2983747107 = 0. -2/5, 31537 Solve -2*a**2/7 - 217192*a/7 - 434376/7 = 0. -108594, -2 Find g such that g**4/2 + 23441*g**3 + 187517*g**2/2 + 117196*g + 46878 = 0. -46878, -2, -1 Solve 5*z**4 - 190*z**3 + 2260*z**2 - 6440*z - 23520 = 0 for z. -2, 12, 14 Factor -9*y**3 + 5070*y**2 + 13572*y + 6792. -3*(y - 566)*(y + 2)*(3*y + 2) Suppose -4*l**3 + 53548*l**2 - 179612704*l + 2682155760 = 0. Calculate l. 15, 6686 What is f in -5*f**3/4 - 267*f**2/4 - 53*f/2 = 0? -53, -2/5, 0 Factor -4*z**4 - 128*z**3 - 1136*z**2 - 1792*z + 9216. -4*(z - 2)*(z + 8)**2*(z + 18) Factor -x**3 + 79*x**2 + 250*x - 328. -(x - 82)*(x - 1)*(x + 4) Factor j**3/2 - 294*j**2 + 1173*j/2 - 293. (j - 586)*(j - 1)**2/2 Let -3*p**3/5 + 882*p**2/5 - 72036*p/5 + 1028376/5 = 0. What is p? 18, 138 Factor v**3/3 - 7304*v**2 + 40011312*v. v*(v - 10956)**2/3 Determine h, given that 3*h**2 + 577080*h - 577083 = 0. -192361, 1 Factor -b**2/5 + 7534*b/5 - 6024. -(b - 7530)*(b - 4)/5 Factor 3*g**3 + 93222*g**2 + 559251*g + 838836. 3*(g + 3)**2*(g + 31068) Factor -4*b**3 - 8400*b**2 - 66944*b. -4*b*(b + 8)*(b + 2092) What is f in 6*f**3/7 - 424262*f**2/7 - 282844*f/7 = 0? -2/3, 0, 70711 Find r, given that -462*r**5 + 1244*r**4 - 1110*r**3 + 336*r**2 - 8*r = 0. 0, 2/77, 2/3, 1 Factor -2*p**2/5 - 49872*p. -2*p*(p + 124680)/5 Factor -2*l**2/13 - 306*l/13 - 3384/13. -2*(l + 12)*(l + 141)/13 Let -2*c**4/5 - 494*c**3/5 - 5628*c**2 + 300032*c/5 + 65536 = 0. Calculate c. -128, -1, 10 Find z such that -9*z**5/4 + 87*z**4/2 + 3029*z**3/4 - 7611*z**2/2 + 4015*z - 1218 = 0. -14, 2/3, 3, 29 Factor -t**3/4 + 9047*t**2/4 - 20339371*t/4 - 555777963/4. -(t - 4537)**2*(t + 27)/4 Determine x, given that 2*x**5 + 70*x**4 + 184*x**3 - 280*x**2 - 768*x = 0. -32, -3, -2, 0, 2 Factor 2*x**2/9 - 106*x - 340340/9. 2*(x - 715)*(x + 238)/9 Factor -2*g**3/3 + 292*g**2 - 30464*g - 1003520/3. -2*(g - 224)**2*(g + 10)/3 Let -12*i**2 + 15152*i - 10096 = 0. Calculate i. 2/3, 1262 Factor -2*v**2/5 - 2091356*v/5 - 546721239842/5. -2*(v + 522839)**2/5 Factor -2*l**2 + 1614*l/5 + 2608/5. -2*(l - 163)*(5*l + 8)/5 S
{ "pile_set_name": "DM Mathematics" }
y - k for y. -4 Suppose 5*f - f + 4 = -4*z, 2*z = -3*f - 7. Let u = 7 + f. Suppose 15 = 4*s + 3*j, 0 = -u*s - 3*j + 4*j + 5. Solve s*d = -1 - 2 for d. -1 Let m = -1560 + 1560. Let i(r) = -r**2 + 6*r + 2. Let o be i(6). Solve -10 = -o*u - m*u for u. 5 Let w = -9 + 13. Suppose 0 = 4*a - w*g - 24, 5*a = -g + 15 + 21. Solve -3*z = -a*z for z. 0 Let m be 9*10/12*2. Let n = -11 + m. Solve n = -3*y + 1 for y. -1 Let u(o) = o**3 - 7*o**2 + 6*o + 6. Let s be u(5). Let d = 19 + s. Suppose -d*a = -2*a. Solve a*k = -4*k - 4 for k. -1 Let y(n) = -2*n + 24. Let c(h) = 1. Let p(s) = -5*c(s) + y(s). Let d be p(8). Suppose d*i - 4*i = -3. Solve -i*w + 19 = 4 for w. 5 Let o = -676 - -679. Solve 5 = -t + o for t. -2 Let m(v) = 11*v**2 + 2*v + 1. Let x be m(-1). Let h(l) be the first derivative of l**2 - 15*l + 3. Let o be h(x). Solve 6 = o*u - 4 for u. 2 Let g(c) = c**2 + 9*c + 1. Let i be g(-12). Let a = i + -36. Solve -p + 1 = -a for p. 2 Let a be (-94)/(-3) - ((-28)/(-3) - 9). Solve a*h - 1 = 30*h for h. 1 Let f = 1911 - 1905. Solve 54 = f*l + 66 for l. -2 Suppose 4*h + 20 = -5*f, 0 = -f - 4*h - 4 - 16. Solve 18*j - 21*j - 6 = f for j. -2 Suppose -7*i - 222 = -13*i. Solve -20*l + 43 + i = 0 for l. 4 Let i be (-10)/15*(-6)/2. Let d be -2*i/12*-6. Suppose 2*k - 6 = -d. Solve -3*r = 17 - k for r. -5 Let w be (-3)/2*98/(-21). Suppose 4 = 9*d - w*d. Solve 0 = d*b + b + 12 for b. -4 Let c = 846 + -826. Solve c = 3*k + 2*k for k. 4 Let s be 1/1 + -2 + (0 - -1). Suppose -x - 2*x - 19 = -4*c, s = -5*c + 3*x + 23. Solve 0 = -5*l - 14 + c for l. -2 Suppose 0 - 4 = -2*v. Suppose -6 = -y + 3*j, 2 = 5*y - v*j - 2. Solve y = -o - 2*o - 3 for o. -1 Suppose -5*y = 3*g - 34, -3*g - 1 = -5*g + y. Let z be (-1)/(-2) - 4/8. Solve -g*f + 5*f - 8 = z for f. 4 Suppose -2*d + 12 = 3*u + 7, 4*u = d - 19. Solve d*t + 5 = -30 for t. -5 Let j be (-8)/((-24)/369) - (-2 - -5). Let v be (j/90)/(2/30). Solve 0*r - v = -4*r for r. 5 Suppose -5*b = -10*b - 65. Let h(r) = r**3 + 13*r**2 + 16. Let n be h(b). Solve n = v - 5*v for v. -4 Let d(o) = 3*o**2 + 4*o + 54. Let x be d(0). Solve 59*g + 15 = x*g for g. -3 Let x(b) = b**3 + 4*b**2 + 2*b. Let n be x(-3). Suppose -n*f = f. Suppose f = o - 2 - 2. Solve o*z - 5*z = -5 for z. 5 Let c = 660 - 657. Let z(p) be the second derivative of 3*p**5/20 - p**4/6 + p**3/6 + p**2 + 3*p. Let j be z(2). Solve c*y - 8*y = -j for y. 4 Let s = 1390 + -1385. Solve -s = -5*d + 10 for d. 3 Let w be 5*2 - (-28 + 31). Solve w*v = 3*v + 20 for v. 5 Suppose 3*o = 7*o. Let y be (-114)/285 + 1*(-2)/(-5). Solve y = -d - 3 - o for d. -3 Let y = -37 + 26. Let g = y + 16. Suppose 3*r = g*h - 0*r - 80, r - 32 = -2*h. Solve 5*q + 1 - h = 0 for q. 3 Suppose 0*w - 11*w = -w. Suppose 16 = z + 3. Suppose -4*o + m + z = 0, 4*m = -o - w*o - 1. Solve 1 = o*f - 2 for f. 1 Let q(h) = -5*h**2 - h + 5. Let d be q(-5). Suppose -4*t - 4*r - 37 - 163 = 0, -t - 42 = -r. Let v be t/d - (-2)/(-5). Solve 4*g = -v*g for g. 0 Suppose -246 = -3*m - 234. Let c(w) = w**3 + 9*w**2 + 10*w + 7. Let y be c(-7). Suppose -5*u + 3*k + y = -21, 2 = -k. Solve -10 = m*d + u for d. -5 Let f = -121 + 131. Solve 5*g - 30 = -f for g. 4 Let g be ((-26)/6)/((-1)/15). Suppose -g = -2*y - 25. Let j be 2/(-6) + 19/3. Solve -j*k = -k + y for k. -4 Suppose -w - 7 = 5. Let o be (-36)/(-10) + w/(-30). Solve -2*b + o = -2 for b. 3 Let k(g) = 9*g - 7. Let d(x) = x**2 - 11*x + 13. Let u be d(10). Let w be k(u). Solve 7*p - 3*p = w for p. 5 Let c be -54*(348/(-108) - -3). Solve 2*q - c = -14 for q. -1 Let l be ((-4)/(-2))/(49/8 - 6). Solve 7*w = -w + l for w. 2 Suppose 0 = -4*o + 3*o + l + 6, -3*o - l = -2. Solve 2*j + 2 + o = 0 for j. -2 Let z be 0/2*1*-1. Suppose -4*n + 8 + 4 = z. Solve 0 = 5*g - 2 - n for g. 1 Let m be ((-110)/275)/((-2)/115). Solve -8 = 5*i - m for i. 3 Let m = 256 + 220. Let h be ((-2)/8)/((-17)/m). Solve -h + 2 = 5*t for t. -1 Suppose 4*u - 114 = -5*k + 6*u, -2*u - 26 = -k. Suppose -20*d = -k*d. Solve d*w + 2*w = 8 for w. 4 Let o(l) be the second derivative of -5*l**3/6 + 71*l**2/2 + 31*l. Let s be o(14). Let i = 14 - 10. Solve -i*q - 11 - s = 0 for q. -3 Let f = 25 - 25. Suppose -2*j + a - 5*a - 16 = f, 2*j - 5*a - 29 = 0. Solve -3*l - 10 - j = 0 for l. -4 Suppose 25*f = 46 + 29. Solve f*j + 1 = 7 for j. 2 Let j(y) = -4*y**2 - 5. Let f(n) = 3*n**2 + 4. Let z(k) = -5*f(k) - 4*j(k). Let g be z(0). Solve g = -5*o + 2*o + 15 for o. 5 Let y(a) = -a**3 + 4*a**2 - 3*a + 19. Let q be y(4). Solve 4*o = q - 19 for o. -3 Let t(p) be the second derivative of p**3/6 - p**2/2 + p. Let w be t(3). Solve 2*h = 3*h + w for h. -2 Suppose 0*t + 4*a - 35 = -3*t, 4*t - 50 = -2*a. Let m(d) = d**2 - 14*d - 7. Let u be m(t). Let x be (12/8)/((-2)/u). Solve 0 = -n - 2*n - x for n. -5 Let k(a) = -a + 5. Let l be k(0). Suppose -l*d + 25 = 5*n, 5 + 3 = 4*n. Solve 4*f + d - 15 = 0 for f. 3 Let p(r) = -5*r**2 - 34*r + 5. Let t be p(-6). Suppose 2*s + 2*v = -s + t, 15 = -3*v. Solve -2*d - s + 3 = 0 for d. -5 Let r be 42/49 + (-3)/(-21). Solve y = 2 - r for y. 1 Let o(v) = -v**2 - v + 3. Suppose m = -2*m. Let s be o(m). Solve s*n = -2*n - 15 for n. -3 Let r be (-4)/1*(-15)/(-10)*-1. Let h be (-4)/(-24)*2*r. Solve 0 = -0*d + 2*d - h for d. 1 Let t be ((-2)/12)/(3/(-18)). Suppose -3*o - 8 = 2*f, 5*o - t + 17 = -2*f. Solve -l - f = -5 for l. 3 Suppose 0 = -g + 2*g. Let y = 19 - 17. Solve -3*z - 17 + y = g for z. -5 Let q(c) = c**2 + 8*c - 13. Let r be q(-9). Let x be 2/8*-1*r. Solve 2*t - x = -3 for t. -1 Let u(b) = -b - 22. Suppose 0 = -19*v - 34 - 555. Let h be u(v). Solve 0*k + h = 3*k for k. 3 Let k = -38 - -23. Let r be 2/6 - k/9. Solve -r*o + 12 = 4 for o. 4 Let o(w) = -w - 5. Let p be 4 + (-3)/(12/32). Let m be o(p). Let a = 1 - m. Solve -s - 7 = -a for s. -5 Let r(s) = s**3 - 6*s**2 - 16*s + 4. Let b be r(8). Let k be ((-4)/(16/b))/((-1)/3). Solve z - k = 1 for z. 4 Suppose -3*h + 162 = -h. Suppose -14 = -5*c + h. Let d = c - 15. Solve d*p = -0 + 8 for p. 2 Suppose o - 2 = -1. Suppose -p = 5*g + 2*p + 3, -5*g + 5*p = -5. Let q be g/((-2 + 1)/1). Solve -o = -q*d - d for d. 1 Let t be (-3 - (-1 + -6)) + -4. Solve -2*w + 3*w = t for w. 0 Suppose 19*t - 7*t - 252 = 0. Solve -7*n + 0 - t = 0 for n. -3 Let w be (-6 - (-3 - 1)) + -43. Let c be w/(-6) - (0 + (-2)/(-4)). Solve -2*t - c = -1 for t. -3 Suppose -3*q + 8*q + 14 = u, 3*u - 142 = -5*q. Solve u*p = 40*p - 4 for p. 4 Let n be (-3)/(18/(-52)) + (-8)/12. Let y be (-21)/(-3) + (-5)/1. Solve -2*s - n - y = 0 for s. -5 Suppose 9 = 4*c - 35. Solve 20 = -7*g + c*g for g. 5 Suppose x - 12 = 5*x, -2*a = 2*x. Solve -6*s = -5*s + a for s. -3 Suppose 13*i + 71 = 383. Solve -7*w - i = -3 for w. -3 Suppose 2*o = -10, 7*o - 75 = -4*t + 2*o. Let v = 20 + t. Suppose 5*q = -5*y + v, -y = -3*q + 3 + 4. Solve -2*a - y + 1 = 0 for a. -2 Let h(u) = u + 13. Suppose -k - 1 = -s, -k - 7*s = -2*s - 23. Suppose -k*x + 45 = -3*t, t - 2*x + 35 = 3*x. Let y be h(t). Solve y*a + 0*a = -15 for a. -5 Let m = 26 + -10. Let w = 8 + -8. Solve w = 5*c - m - 4 for c. 4 Let n be (-1 + 2)/((-1)/(-3)). Suppose 2*p + n = 9. Let x be (-10)/(-6)*(11 + -2). Solve x = p*g - 6*g for g. -5 Let k = -2582 + 2583. Solve 4*l - k = 19 for l. 5 Suppose -27 + 43 = -4*z. Let t(q) = -4. Let l(s) = -s - 4. Let d(i) = 3*l(i) - 4*t(i). Let c be d(z). Solve -3*x - c = x for x. -4 Let z be ((-4)/(-5))/(4/10). Let b(v) = -1 + 0*v + 3*v - v**3 + z*v - 2*v + 3*v**2. Let m be b(3). Solve -2*p = -4*p + m for p. 4 Let w(q) = -22*q + 594. Let y be w(27). Solve y = 5*j + 102 - 122 for j. 4 Let n be 80/14 - (-2)/7. Suppose 0 = 4*k - 5*i - 60, -5*k = i + 3*i - 116. Suppose 5*t = 2*m + 20, 3*m + 8*t - 3*t = k. Solve m = -n*c + 4*c for c. 0 Let s(u) = -11*u - 314. Let b be s(-29). Solve -3 = b*q - 8*q for q. 1 Let q(v) = 3*v**2 + 2*v + 1. Suppose 2*b + 3 - 1 = 0. Let g be q(b). Solve 2*j = 4*j + g for j. -1 Let p = 266 - 261. Solve -20 = p*q - 0 for q. -4 Let v be (-766)/(-22) + (-14)/(-77). Let w = v + -35. Solve -2*c + w*c = 0 for c. 0 Let k(i) = -i + 3. Suppose -z = 3*h - 6*h - 6, -4*z + 15 = -3*h. Let t be k(z). Let u(m) = -m**2 + 2*m + 3. Let w be u(t). Solve w*o - 16 = -o for o. 4 Let l(d) = -d**3 - 33*d**2 - 34*d - 58. Let o be l(-32). Solve 0 = g - o + 4 for g. 2 Let j = 6 + -17. Let o(g) = -g - 4. Let n be o(j). Suppose -2*f = a - 10, 0 =
{ "pile_set_name": "DM Mathematics" }
a(o) = 16*o**2. Calculate 44*a(r) - 5*h(r). -11*r**2 Let z(y) = 4*y + 5. Let n be 27/(-12) + (-18)/24. Let w be z(n). Let j(v) = -10*v + 6 - 4 + 7*v. Let f(p) = -10*p + 6. Calculate w*j(u) + 2*f(u). u - 2 Let f(r) = r**3. Suppose 0 = 252*n - 257*n - 20. Let p(m) = 7*m**3 + 4*m - m**3 - 5*m. Determine n*f(k) + p(k). 2*k**3 - k Let v(g) = g**3 + 2*g**2 + 2. Suppose 5*z + 6*w - 52 = 2*w, -2*z + 28 = -2*w. Let m = 11 - z. Let q(b) = -b**2 - 1. Calculate m*v(a) - 2*q(a). -a**3 Let k(w) = 11690*w**3 + 165*w**2 - 55*w + 55. Let t(a) = -433*a**3 - 6*a**2 + 2*a - 2. Determine 2*k(n) + 55*t(n). -435*n**3 Let y(u) = -3*u**2 - u. Let a(w) be the second derivative of -w**4/12 - w**3/6 - 138*w. Determine 5*a(n) - 2*y(n). n**2 - 3*n Let n(g) = -42 + 129 - 50 - 38. Let z(x) = 2*x + 7. Let v be (-2)/(-3) + 2/6. Determine v*z(b) + 6*n(b). 2*b + 1 Let l(s) = -s**3 - 6*s**2 - 7*s + 4. Let k(j) = 2*j**3 + 12*j**2 + 15*j - 9. Determine -6*k(f) - 13*l(f). f**3 + 6*f**2 + f + 2 Let y(h) = 4 + 7*h**3 - 13 + 8*h - 6*h. Let c(i) = -4*i**3 - i + 5. Suppose -82*u = -89*u + 77. Calculate u*c(q) + 6*y(q). -2*q**3 + q + 1 Let g(s) = -2*s**2 + 4*s + 8. Let t(l) = -l - 1. Let u(v) = g(v) + 3*t(v). Let n = -8 - -10. Let a(j) = 6*j**n - 9 - 5 + 3*j - 6*j. Determine 4*a(p) + 11*u(p). 2*p**2 - p - 1 Let d(l) = -l**3 + l**2 + l. Let p(k) = 5*k**3 + 2*k**2 + 2*k. Let o(b) = -b**3 + 54*b**2 + 56*b - 57. Let q be o(55). Give q*d(j) + p(j). 7*j**3 Let b(j) = -283*j**2 - 1132*j + 566. Let g(i) = i**2 + 2*i - 1. Calculate 3*b(q) + 1698*g(q). 849*q**2 Let z(k) = -k**3 - k**2 - k. Let t(n) = 4*n**3 + 3*n**2 + 5*n + 6. Calculate -t(j) - 3*z(j). -j**3 - 2*j - 6 Let k(f) = -8*f**3 - 3*f**2 - f - 5. Let d(b) = -b**3 - b**2 + b - 1. Calculate 3*d(h) - k(h). 5*h**3 + 4*h + 2 Let j(g) be the first derivative of 2*g**3/3 + 2*g + 122. Let y(r) = -r**2 + r - 1. Calculate j(t) + 3*y(t). -t**2 + 3*t - 1 Let r(z) = 6*z**2 + 9*z - 9. Let w(y) = -3*y**2 - 5*y + 4. Calculate 4*r(b) + 7*w(b). 3*b**2 + b - 8 Let w be 3/(72/21 - 3). Suppose 3*a = w + 11. Let s(n) = 18*n**2 + n. Let i be s(-1). Let t(o) = o**2 + 5. Let z(f) = -3*f**2 - 14. Give a*z(x) + i*t(x). -x**2 + 1 Let v(l) = -l**2. Let a(x) = 4*x**2 + x + 1. Let t be (2 - -1)*(-24)/36. Give t*v(c) - a(c). -2*c**2 - c - 1 Let n(g) be the second derivative of g**3/6 - 2*g**2 + 38*g - 5. Let s(o) = 2*o - 3. Calculate -3*n(f) + 4*s(f). 5*f Let d(x) = 28*x + 241. Let r(i) = 5*i + 40. Determine 6*d(v) - 34*r(v). -2*v + 86 Let q(h) = -3. Let k = 15 - -3. Let p = k + -21. Let g(d) = d + 8. What is p*g(v) - 8*q(v)? -3*v Let o be (-3)/6*-1*-42 + 4. Let n(b) = 9*b**2. Let s(i) = -26*i**2. Determine o*n(q) - 6*s(q). 3*q**2 Let i(s) = -3*s**2 + 2*s - 16. Let x(n) = -4*n**2 + 2*n - 14. What is 5*i(y) - 4*x(y)? y**2 + 2*y - 24 Let b(t) = 9*t**3 + 4*t**2 + 7*t. Let a(k) = 4*k**3 + 2*k**2 + 3*k. Let u(l) = 28*l**2 + 2*l - 2. Let w be u(1). Let c = w + -25. Determine c*b(v) - 7*a(v). -v**3 - 2*v**2 Let m(o) = 892*o. Let c(t) = -221*t. Calculate 13*c(y) + 3*m(y). -197*y Let t(m) = 3*m - 6. Let k(f) be the third derivative of f**4/4 - 11*f**3/6 - f**2. Suppose -3*l - 5 - 16 = -4*v, -2*v + 8 = -4*l. Calculate v*k(h) - 11*t(h). 3*h Suppose -3*i + 3*m = -6, 5*i + 3*m + 1 - 3 = 0. Let u(j) = -j**3 - j - 1. Let r(c) = c**3 - c + 2. What is i*r(v) - u(v)? 2*v**3 + 3 Let x(g) = 421*g - 5. Let j(r) = 212*r - 2. Calculate 5*j(i) - 2*x(i). 218*i Let s(f) = 8*f**3 + f**2 + 35*f - 14. Let i(c) = 3*c**3 + 12*c - 5. Determine 11*i(w) - 4*s(w). w**3 - 4*w**2 - 8*w + 1 Let a(f) = f + 0*f + 17 + 0. Let o(v) be the first derivative of 131*v - 48 - 264*v + 129*v. What is -2*a(j) - 9*o(j)? -2*j + 2 Let h(z) be the second derivative of 5/3*z**3 + 0 + 19*z - z**2 + 1/4*z**4. Let b(k) = -k**2 - 3*k + 1. What is 7*b(y) + 2*h(y)? -y**2 - y + 3 Let j(r) = -r + 1. Let d(q) = -q + 8 + 2 - 3 - 3*q. Let s be (12/(-5))/((-5)/25). Let c = -13 + s. What is c*d(t) + 6*j(t)? -2*t - 1 Let q(z) = -2*z**2 - 6*z + 2. Let h(c) = c. Suppose 109*t - 104*t - 5 = 0. Calculate t*q(v) + 3*h(v). -2*v**2 - 3*v + 2 Let j(k) = 274*k + 280*k - 552*k. Let s(u) = -3*u - 2*u + 0*u. Determine 5*j(a) + 3*s(a). -5*a Let t(g) be the first derivative of g**3 + 3*g**2/2 - 2*g + 229. Let j(y) = -y. Calculate -3*j(c) - t(c). -3*c**2 + 2 Let c be (-174)/(-45) - (-14)/105. Suppose -p + 39 = -c*p. Let y(g) = -4 + 3*g**2 - 12*g**2 + 8 - 13*g. Let m(z) = -4*z**2 - 6*z + 2. Determine p*m(x) + 6*y(x). -2*x**2 - 2 Let f(l) = -l**2 - l. Let j(m) = m**3 + m**2 + m + 10. Give f(w) + j(w). w**3 + 10 Let x(r) = -10*r**3 - 2*r**2 + 5. Let t(l) be the second derivative of -11*l**5/20 - l**4/6 + 3*l**2 - 70*l. Calculate -5*t(s) + 6*x(s). -5*s**3 - 2*s**2 Let f(c) = -150*c**2 - 2*c + 6. Let a(y) = 301*y**2 + 2*y - 10. What is 3*a(p) + 5*f(p)? 153*p**2 - 4*p Let t(f) be the first derivative of -3*f**2/2 + 6*f - 5. Let w(m) = m - 3. Let u(r) = 3*t(r) + 7*w(r). Let a(v) = -v - 2. Determine -8*a(j) + 5*u(j). -2*j + 1 Let v(w) = -2*w - 8. Let c(x) = -2*x**3 + 19*x**2 + 8*x + 12. Let z be c(10). Let i(a) = a + 5. Let k = 5 - 10. Calculate k*v(y) + z*i(y). 2*y Let d(h) = -2*h + 19*h**2 - 34*h**2 - 22*h - 3*h. Let m(p) = -7*p**2 - 13*p. Let x(b) = 4*d(b) - 9*m(b). Let c(w) = w. Calculate 9*c(u) - x(u). -3*u**2 Let s(g) = 2*g - 3. Let j(a) = a**3 - 7*a**2 + 4*a + 7. Let x be j(6). Let t(i) = -2*i - 3*i + 2468 - 2463. Give x*s(z) - 3*t(z). 5*z Let v = -431 - -428. Let t(z) = -2*z**3 - 4*z**2 - 4. Let m(p) = p**3 + 3*p**2 + 3. Suppose 5*o = -12 - 8. Give o*m(l) + v*t(l). 2*l**3 Let f(a) = 60*a**3 - 2*a**2 + 2*a - 4. Let j(m) = -60*m**3 - 2*m + 3. Give 2*f(u) + 3*j(u). -60*u**3 - 4*u**2 - 2*u + 1 Let w(a) = -a + 2. Let j(f) = -6. Determine 2*j(q) - w(q). q - 14 Let t(b) = -26*b**2 + 27*b - 41. Let j(n) = -39*n**2 + 43*n - 62. Determine -5*j(g) + 8*t(g). -13*g**2 + g - 18 Let f(v) = -v**2 + 3*v + 14. Let x(r) = 3 + 9 + 3*r - 5 - r**2 - r. What is -3*f(i) + 5*x(i)? -2*i**2 + i - 7 Let y(h) = h + 1. Let z(k) = -9*k + 5. Let f(t) = -22*t + 12. Let a(r) = 5*f(r) - 12*z(r). Determine a(u) - y(u). -3*u - 1 Let g(f) = 2*f**3 + 3. Let j(s) = 8*s + 28. Let n be j(-3). Let o(a) = 3*a**3 + 7. What is n*o(v) - 9*g(v)? -6*v**3 + 1 Let i be 135 - ((-1)/(-1) - -3). Let j(r) = -270*r**2 + i*r**2 + 135*r**2. Let l(o) = o**3 + 6*o**2. Determine -6*j(k) - 4*l(k). -4*k**3 Let y be 1/(-2)*(-2 - 8 - -6). Let u(c) = 9*c - 2 + 5 - 1. Let r(v) = 4*v + 1. Determine y*u(a) - 5*r(a). -2*a - 1 Let i(y) = 51*y**3 + 5*y**2 - 4*y. Let u(a) = -53*a**3 - 4*a**2 + 3*a. Calculate 4*i(p) + 5*u(p). -61*p**3 - p Let r(z) = 4*z**3 + 7*z - 5. Let t(d) = -3*d**3 - 6*d + 4. Suppose 19 = -4*j + 27, 4*m = -5*j - 14. Give m*t(s) - 5*r(s). -2*s**3 + s + 1 Let j(v) = -v + 2. Let g(f) = 8*f + 192. Determine g(w) + 6*j(w). 2*w + 204 Let c(g) = 80*g**2 - 24*g**2 - 24*g**2 - 18*g**2 - 17*g**2 + 2*g. Let q(s) = 3*s**2 - 3*s. Calculate -6*c(z) - 4*q(z). 6*z**2 Let h(q) = 6*q**2 + q**2 - 12*q - 13*q**2 + 3*q**2 + 14*q. Let p(n) = -6*n**2 + 5*n. Determine 15*h(g) - 6*p(g). -9*g**2 Let o(b) = 2*b**2 + 5*b - 6. Let l(v) be the second derivative of 0 - 2/3*v**3 - v - 1/12*v**4 + 5/2*v**2. Determine -4*l(t) - 3*o(t). -2*t**2 + t - 2 Let a(o) = 5*o**2 - 4*o + 3. Let r(z) = z**2 - z + 1. Let c(l) = 3*l**2 - 1. Let f be c(1). Suppose -t + 1 = -f. What is t*r(q) - a(q)? -2*q**2 + q Let i(f) = -f - 6. Let b(d) = 7*d + 35. Let u(r) = -b(r) - 6*i(r). Let j(s) = -4*s - 5. Calculate -j(x) - 5*u(x). 9*x Let j(w) = -10*w**2 - 18*w + 5. Let m(q) = -3*q**2 - 6*q + 2. Determine 3*j(x) - 8*m(x). -6*x**2 - 6*x - 1 Let g(p) = 3*p**2 - 7*p + 7. Let i(j) = -2*j**2 + 5*j - 5. Let q = 30 + -84. Let f = q + 59. Calculate f*g(z) + 7*i(z). z**2 Let s(b) = b - 5. Let y(v) = v - 2. Let i = 41 + -59. Let c = -61 - -48. Let a = c - i. What is a*y(k) - 2*s(k)? 3*k Let d(x) = 11*x + 109. Let l(w) = -17*w - 164. Determine 7*d(v) + 5*l(v). -8*v - 57 Let v(s) = -s + 1. Let n(o) = -29*o - 2. Give -n(h) - v(h). 30*h + 1 Let t(h) = -7*h**2 + 5*h - 11. Suppose -120*x = -99*x + 63. Let p(v) = 4*v**2 - 3*v + 5. Calculate x*t(c) - 5*p(c). c**2 + 8 Let z(r) = -78*r**2 - 15*r. Let a(w) = 9*w**2 + 16*w + 2*w**2 + 2*w**2 - 2*w**2 - 14*w. Determine -15*a(t) - 2*z(t). -9*t**2 Let o(g) = g + 2. Let z(y) be the first derivative of -y**2/2 - 3*y + 1. Let a = -158
{ "pile_set_name": "DM Mathematics" }
4 = -b, 4*o = -b + 11 for o. 2 Solve -4*h + 3*s + 1 = 2, 0 = 5*h + 4*s + 40 for h. -4 Solve 0 = -3*f - 12, 0 = -4*n - 5*f + 9*f for n. -4 Solve -3*b + 8*b = 5*d - 15, 3*b - d + 3 = 0 for b. 0 Solve 0 = 2*v, -4*q + v - 1 = -13 for q. 3 Solve u + 4 = 2*j, 9 = 3*u + 2*j - j for u. 2 Solve -4*b + 28 = -4*u - 0*u, -2*b + 4*u + 22 = 0 for b. 3 Solve 10 = -3*a + 4*y, 3*a + 40*y = 38*y + 14 for a. 2 Solve 0*j - 12 = 2*j - 3*a, j + 5*a = 7 for j. -3 Solve -4*y + 35 = 3*n, -7*n + 3*n + 15 = -y for n. 5 Solve 2*w + 2*d = 2, -3*w + 3 = d - 4*d for w. 1 Solve 4*n - 4*c - 16 = 0, 16*c = -5*n + 18*c + 5 for n. -1 Solve -15*g + 3 = -19*g + 5*u, 3*u + 11 = -4*g for g. -2 Solve 0 = 2*c - 4*l - 7 + 23, c = 3*l - 10 for c. -4 Solve 5*k - 5 = -4*s, 38 = -3*s + 3*k + 62 for s. 5 Solve -3*b + 2*s + 7 - 4 = 0, -4 = -5*b + 3*s for b. -1 Solve 0 = -u + 2*i + 13, 4*u + 2 = -i + 9 for u. 3 Solve 9 = -5*k - 4*c, -4*k - 4*c + 41 = -9*k for k. -5 Solve 4*p + 3*z = 16, -108*p + 112*p + 5*z - 24 = 0 for p. 1 Solve k = -4*a - 15 + 3, a + 3 = -3*k for a. -3 Solve 2*c + 5*m = 2*m - 9, -9 = c + 3*m for c. 0 Solve -h = -3*b - 3, -5*h - 7 = 5*b - 9*b for h. -3 Solve w + 4*c = -7, 3*c = -3*w - c - 5 for w. 1 Solve 2*y - 5 = k, 52*k = 55*k - 4*y + 5 for k. 5 Solve 4*d + 8*x + 8 = 6*x, 5*d + 2*x + 11 = 0 for d. -3 Solve 30 = 41*d - 35*d, -5*d + 29 = c for c. 4 Solve 0*a - 5*h - 25 = 5*a, h = a - 1 for a. -2 Solve n = 2*m - 14, -9*n + 12*n - 2*m + 22 = 0 for n. -4 Solve -14*o + 19*o - 2*f = 19, 26 = 4*o + 2*f for o. 5 Solve 5*y = -m + 30, 12*y - 20 = 8*y for m. 5 Solve -5*a = 15*q - 10*q + 5, -5*q - a = -7 for q. 2 Solve 0 = -2*d + 12*t - 2, 2*d - t + 4 - 2 = 0 for d. -1 Solve -2*s - 2*h = 2, -h + 97 - 92 = 3*s for s. 3 Solve 3*m = -2*l + 15, -4*l + 0*m - 5*m + 27 = 0 for l. 3 Solve 6 = -3*k, 10*k = 3*b + 15*k + 25 for b. -5 Solve 2*u + q - 25 = 7*u, 5*u = -2*q - 10 for u. -4 Solve 4*d + 3*x = 0, 3*d = -0*d + 4*x for d. 0 Solve 2*j = 2*m - 39 + 35, -2*j - 7 = m for j. -3 Solve -3*n - 16 = c, -6*n - 49 + 13 = 0 for c. 2 Solve -4*p + 2 = -5*v, 4*p - 8 = 7*v - 5*v for p. 3 Solve h + 9 = 36*o - 40*o, 4*h - o + 2 = 0 for h. -1 Solve -2*n - 3*n + 5*f - 5 = 0, 4*n - 10 = -3*f for n. 1 Solve -5*u + 3*p + 3 = 0, -u + 4*p - 4 = 3*u for u. 3 Solve 2*c - 2 = 3*c - 2*n, -2*c = 4*n + 12 for c. -4 Solve p + 0*p = -3*c + 15, -4*p + 32 = 5*c for c. 4 Solve 0 = 4*l + 5*q - 15, 2*l + 3*q + 2*q = 5 for l. 5 Solve -x - 5*c - 5 = -3, -3*x + 2*c - 6 = 0 for x. -2 Solve -2*h - 7 = -2*z + 3, 4*h = -2*z + 10 for z. 5 Solve -2*f = 5*s - 8, 4*f + f - 20 = -4*s for s. 0 Solve 28 = z + 5*h - 9*h, -2*z + 2*h = -20 for z. 4 Solve -4*i - 17*l = -20*l - 11, 3*i - 3 = 4*l for i. 5 Solve 3*x - 12 = 5*y, -20 + 34 = -3*y - 5*x for y. -3 Solve -5*q = 5*k + 10, k = 6*k - 3*q + 18 for k. -3 Solve 0 = -6*s + 3*s + 5*q + 10, 2*s = -3*q - 25 for s. -5 Solve -u - t - t = 0, -8 = -3*u + 2*t for u. 2 Solve -4*d = -5*g - 41, 3*d + 55 - 77 = 2*g for g. -5 Solve 0 = -2*g - 3*d + 15, 92*g + 10 = 95*g + 2*d for g. 0 Solve 2*p - 19*m + 24 = -23*m, 4*p + 23 = -3*m for p. -2 Solve 4*d = 5*z + d - 23, 3*z - 15 = 3*d for z. 4 Solve -3*i = -4*k - 4, 4*i - 7*k + 8 = -5*k for i. -4 Solve -4*f = -g + 11, 4*g + 16 = -f + 2*f for g. -5 Solve m - 2*m = 3*f + 8, -5*m = 2*f - 12 for m. 4 Solve 0 = -2*f + 3*u - 8, 4*u - 30 + 6 = -4*f for f. 2 Solve 4*z = 3*l + 3*z + 1, l + 5*z = -11 for l. -1 Solve 7*b - 3*b - 16 = 0, -2*b = -3*d - 23 for d. -5 Solve 2*y = 4*m + 2, -2*y + 0 = 2*m - 8 for y. 3 Solve -5*j + 17*s = 19*s + 23, 0 = -3*j + 5*s - 20 for j. -5 Solve -2*y = -c + 3, -y = 5*c - 4*y - 8 for c. 1 Solve -5*k + 4*h - 40 = -h, -k - 12 = -2*h for k. -4 Solve 2*m - 2*p + 3*p + 2 = 0, -m + 2*p = 6 for m. -2 Solve -5*z = w - 25, -3*z + 11 + 4 = w for z. 5 Solve 0 = 4*o + z + 4*z + 37, 5*z = -o - 28 for o. -3 Solve i = l - 7, 0*l - 5*i = -l + 15 for l. 5 Solve 2*l - 2*j + 0 = 16, 3*j + 8 = -l for l. 4 Solve 4*c = -4*m + 16 - 0, 4*c = -5*m + 17 for m. 1 Solve -4*v + 21 = 3*o, -2*o + 60 - 48 = 2*v for o. 3 Solve 4*f + 4*p - 16 = 0, -5 - 5 = -3*f - p for f. 3 Solve 0 = 4*f - 5*h - 3, -4*f + 4 = 4*h - 8 for f. 2 Solve 4*s - 9 = s, 4*s = 3*a + 18 for a. -2 Solve -20 = 5*x - 5*m, -3*x + 4*m = -m + 20 for x. 0 Solve 5*n - 8*n + 5 = 5*s, -n = 5 for s. 4 Solve 3*s + 2*i = 11, -3*s - 4*i - 13 = -26 for s. 3 Solve -4*q + 2 = -2*i, -5*q + 2 = -i + 1 for i. -1 Solve 2*i - 2*q - 6 = 0, 3*i = -0*q + q + 1 for i. -1 Solve 0 = -4*w + 3*a + 8, -8 = -45*w + 49*w + a for w. -1 Solve -r - 5*v - 26 = 0, -7*v = -5*r - 3*v + 15 for r. -1 Solve 2*m = -3*g + 4, 0 = 3*m - 4*m - 3*g + 2 for m. 2 Solve -z + 7 = 5*y, -3*y = -z + 14 - 15 for y. 1 Solve 5*a + 8 = -2*i, 5*a = -i - 7 + 3 for i. -4 Solve 0 = 3*g + 5*l - 30, 8*l - 27 + 23 = 4*g for g. 5 Solve 4*y + 2*h = -10, -2*y + 4*h = 28 - 38 for y. -1 Solve -4 = -2*u - 5*d, d + 7 + 1 = 4*u for u. 2 Solve g + d + 357 - 360 = 0, 0 = 3*d - 15 for g. -2 Solve 5*m + 17 = -4*t - 0*m, 0 = -3*t + 4*m + 26 for t. 2 Solve -5*m + 5 = -t - 21, 0 = 5*t + m for t. -1 Solve 4*d + 10 = 7*w - 9*w, -d = -2*w for w. -1 Solve 2*n + 3*z = 5 + 8, 3*z = 5*n + 20 for n. -1 Solve 0 = 3*h - 3*v - 3, -12*h = -13*h + 3*v + 3 for h. 0 Solve 3*d = -5*j + 32, 0 - 20 = -j - 4*d for j. 4 Solve d - 2*k - 2 = -5*k, d - 4*k + 5 = 0 for d. -1 Solve 5 = 5*w, -2*b - 5*w = -3 - 8 for b. 3 Solve l - o = 2, 0*l - 14 = 3*l + o for l. -3 Solve 4*q - 4 = -3*s, s - 1 = -4*q + 11 for q. 4 Solve -2*t = -5*b - 29, b - 3 = -7*t + 3*t for b. -5 Solve -3*c - 9 = 5*h, 126*h - 15 = 131*h for c. 2 Solve 5*q = 101*y - 100*y - 12, -21 = 2*y + 5*q for y. -3 Solve -2*s - 2*u = 2, 2*u + 2 = -5*s + 9*s for s. 0 Solve 3*c - 9 = -5*t, 2*c + 0*c + 2*t - 6 = 0 for c. 3 Solve -4*p - 11 = -3*l, 2 = 5*l - p - 5 for l. 1 Solve -6 = 4*y - 2, 0 = 5*m + 5*y - 5 for m. 2 Solve -q = -4*c - 6 - 8, 21 = -5*c + 3*q for c. -3 Solve -2*b + 9 = -i, -5*i = -0*b - 2*b + 5 for b. 5 Solve -2 = -q - c, -5*q - 2*c + 10 = 2*c for q. 2 Solve -t + q + 4 = 0, -3 = 5*t + 3*q + 1 for t. 1 Solve 3*v - 20*b = -22*b + 14, -4*v - 5*b = -28 for v. 2 Solve 0 = -3*z + 6, -279 = -g - 2*z - 273 for g. 2 Solve 25 = 4*n + 5, 0 = 5*c + 5*n - 45 for c. 4 Solve 0 = 17*y - 22*y + f + 25, 5*y + f = 25 for y. 5 Solve -5 = 4*m - 9*m + 5*z, m + 3*z = -11 for m. -2 Solve -10*r + 5*v + 35 = -6*r, r + 2*v = -14 for r. 0 Solve -3*i - 15 = -2*o - 3, -i - 4 = o for o. 0 Solve -4*f + 2 = 5*u, 3*u + 4 = -4*f + 2 for f. -2 Solve -2 = 2*x + n, -11*n + 2 = -2*x - 15*n for x. -1 Solve 5*y + r + 13 = 0, -2*y - 12 = -4*r - 20 for y. -2 Solve 2 = 2*k + 4*r, -5*k - r - 3*r + 5 = 0 for k. 1 Solve -z = 3*m - 4, 0 = 3*m - z - 2 - 6 for m. 2 Solve -6 = -3*d - d + q, -4*d - q = -2 for d. 1 Solve 0*u + 8 = 2*u, f + 4*u - 15 = 0 for f. -1 Solve -2 = 3*r + 2*l, -3*l = 3*r - 0*r + 3 for r. 0 Solve -4*d - 8 = 2*a, 4*a + d = 5*d - 16 for a. -4 Solve 5*h = -5*w - 15, -354 + 339 = 3*w for h. 2 Solve -2*o = 2*q + 8, -5*o + q + 2*q - 28 = 0 for o. -5 Solve -12 = 3*y + 3*i, 4*i + 3 = 7 for y. -5 Solve -25 = -5*y - 4*b, b = 20*y - 15*y for y. 1 Solve -o - 3 = 0, 2*l + 3*o - 5 + 12 = 0 for l. 1 Solve 2*o - 95*d = -90*d - 5, 2*o - 3*d = 1 for o. 5 Solve 1 = f + 4*c - 14, 0 = -4*f - 5*c + 27 for f. 3 Solve -72*i + 16 = 5*a - 71*i, -4*i = -a + 20 for a. 4 Solve -g - 4*b + 8 = 0, 8*b - 8 = 5*g + 4*b for g. 0 Solve 14 = -4*d + w, 8*d - 3*d + 5*w + 30 = 0 for d. -4 Solve -5*i + 5 = 2*x, -336*i + 334*i + 31 = -5*x for i. 3 Solve -4*k - 173*d - 4 = -176*d, 3*d - 5 = 5*k for k. -1 Solve 5*w + 20 + 21 = -4*d, 4*w + 28 = -2*d for w. -5 Solve -4*u = 4*m - 32, 2*u = -4*m + 3*u + 12 for m. 4 Solve -4*h = -0*d + d + 3, -4*h = 0 for d. -3 Solve 0 = r - 6*k + 3*k + 4, 2*r - 3*k - 1 = 0 for r. 5 Solve 3*t = -i, -6*t + 10*t - 5*i + 19 = 0 for t. -1 Solve h - 4*p - 9 = 0, -p - 1 - 6 = -5*h for h. 1 Solve 7 = 3*r + 4*q, 0*r + 3*q = 2*r + 18 for r. -3 Solve 2*g + 2 = -i + 3*i, 4*i - 16 = 0 for g. 3 Solve y + 11 = -3*a, 3*y = 4*a + 22 - 3 for y. 1 Solve 2*k + 2 = -33*v + 34*v, 3*k + 4*v = -14 for k. -2 Solve -3*m + 25 = -4*h, 2*h = 4*m - 0*m - 20 for h. -4 Solve -3*w = 2*u, 5*u + 55 = w + 38 for u. -3 Solve 3*x + 5*n - 17 = 0, 0 = -x + n + 4*n - 1 for x. 4 Solve -4*z + 5*r - 23 = 0, 3*z = -197*r + 192*r - 26 for z. -7 Solve 0 = -5*d + 2*h + 2, 2*d - h + 2 = d for d. 2 Solve 0 = -4*u - 4*p - 16,
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {l: 7, k: 2}. What is prob of picking 4 l? 5/18 Two letters picked without replacement from ffhdfffff. Give prob of picking 1 f and 1 h. 7/36 Calculate prob of picking 1 k and 3 j when four letters picked without replacement from hijhxxkxjjxhhnh. 1/1365 Two letters picked without replacement from {p: 2, h: 2, o: 2, j: 3}. What is prob of picking 1 j and 1 o? 1/6 Four letters picked without replacement from {b: 4, w: 4, u: 3}. Give prob of picking 1 u, 1 w, and 2 b. 12/55 Two letters picked without replacement from walylqballaq. Give prob of picking 1 b and 1 a. 1/22 Two letters picked without replacement from bjjllr. Give prob of picking 1 j and 1 l. 4/15 What is prob of picking 3 x when three letters picked without replacement from {w: 2, x: 11, l: 1}? 165/364 What is prob of picking 2 g when two letters picked without replacement from hhhhhhhhghhhghhhhhh? 1/171 What is prob of picking 2 h and 2 g when four letters picked without replacement from hchcccchchghc? 0 Calculate prob of picking 1 k and 3 c when four letters picked without replacement from kdccckkcccdtctttcc. 7/85 Two letters picked without replacement from {b: 1, g: 2, a: 1, s: 1}. Give prob of picking 2 g. 1/10 What is prob of picking 2 e and 1 t when three letters picked without replacement from eitittkeeutkeu? 6/91 Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 2, n: 4, c: 1, x: 1}. 1/14 Three letters picked without replacement from tvqvwwqtvvntttntnt. What is prob of picking 3 v? 1/204 Calculate prob of picking 1 r, 1 j, and 2 q when four letters picked without replacement from {p: 1, z: 1, r: 2, q: 2, j: 1}. 2/35 Three letters picked without replacement from llliiillllllll. Give prob of picking 3 i. 1/364 Calculate prob of picking 2 g, 1 y, and 1 r when four letters picked without replacement from {y: 2, m: 4, r: 1, g: 2, l: 3}. 2/495 What is prob of picking 2 m when two letters picked without replacement from {m: 4, h: 10}? 6/91 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from ggwhgwggwghggghhgzgg. 3/190 Two letters picked without replacement from {h: 1, w: 1, a: 1, e: 2}. Give prob of picking 1 h and 1 a. 1/10 Two letters picked without replacement from ummwnqwfnwum. Give prob of picking 1 f and 1 n. 1/33 Two letters picked without replacement from {x: 7, y: 9, o: 3}. What is prob of picking 2 y? 4/19 Three letters picked without replacement from {o: 4, p: 4, w: 1, a: 2}. What is prob of picking 2 p and 1 o? 8/55 Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {z: 13, m: 6}. 143/323 Calculate prob of picking 2 o, 1 s, and 1 x when four letters picked without replacement from {o: 9, x: 2, s: 2}. 144/715 Three letters picked without replacement from cwcwww. What is prob of picking 2 w and 1 c? 3/5 Three letters picked without replacement from wanwwujjznj. Give prob of picking 1 w, 1 n, and 1 z. 2/55 What is prob of picking 2 g and 2 d when four letters picked without replacement from ggqddddogdgggdgqgdg? 63/323 Two letters picked without replacement from wopxpsf. What is prob of picking 1 f and 1 s? 1/21 Four letters picked without replacement from {u: 1, t: 1, y: 3, h: 5, f: 1}. Give prob of picking 1 u, 1 t, and 2 y. 1/110 What is prob of picking 2 e when two letters picked without replacement from eeeeeeeeegeeeeeeee? 8/9 Calculate prob of picking 2 b when two letters picked without replacement from bboobbobobbbo. 14/39 Four letters picked without replacement from nktttnkknkgqt. What is prob of picking 2 n, 1 t, and 1 k? 48/715 Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkkk. 1 Four letters picked without replacement from {f: 4, w: 2, l: 10, v: 2, m: 1}. What is prob of picking 1 l, 2 f, and 1 v? 10/323 Two letters picked without replacement from {m: 4, i: 1, s: 2, o: 2, v: 2, x: 3}. Give prob of picking 2 v. 1/91 Two letters picked without replacement from {w: 4, n: 5, x: 1, h: 5, b: 1}. What is prob of picking 1 n and 1 b? 1/24 What is prob of picking 4 u when four letters picked without replacement from uuuuuuu? 1 Calculate prob of picking 2 h and 2 t when four letters picked without replacement from hnrttrchhhcc. 2/165 Two letters picked without replacement from {x: 5, w: 2}. What is prob of picking 1 w and 1 x? 10/21 What is prob of picking 1 o, 1 p, 1 x, and 1 s when four letters picked without replacement from osxaoosaaxaxopi? 8/455 Three letters picked without replacement from {z: 1, s: 1, w: 2, m: 2, j: 1}. What is prob of picking 1 j and 2 w? 1/35 Four letters picked without replacement from kksskkks. Give prob of picking 1 k and 3 s. 1/14 Four letters picked without replacement from aamsssasmsslsa. What is prob of picking 2 a, 1 l, and 1 s? 6/143 What is prob of picking 2 h and 2 d when four letters picked without replacement from {g: 1, m: 1, p: 5, f: 2, d: 1, h: 3}? 0 Calculate prob of picking 1 t and 3 z when four letters picked without replacement from ztztztzzzzztttzzzzt. 385/969 Two letters picked without replacement from imzmimidzid. Give prob of picking 1 i and 1 z. 8/55 Calculate prob of picking 4 p when four letters picked without replacement from {t: 4, p: 7, i: 5}. 1/52 What is prob of picking 3 h when three letters picked without replacement from khghugukdhuu? 1/220 Four letters picked without replacement from rrrrrrrerre. Give prob of picking 2 r and 2 e. 6/55 Two letters picked without replacement from {l: 17, n: 2}. What is prob of picking 1 n and 1 l? 34/171 Calculate prob of picking 3 v when three letters picked without replacement from xxvxddxxxxxvvxx. 1/455 Two letters picked without replacement from {a: 10}. Give prob of picking 2 a. 1 Two letters picked without replacement from cciicccccncnccc. Give prob of picking 1 n and 1 i. 4/105 Calculate prob of picking 1 s, 1 u, and 2 h when four letters picked without replacement from uhhholhhhsluulu. 4/91 Two letters picked without replacement from bwbggbggwj. What is prob of picking 2 b? 1/15 Four letters picked without replacement from {t: 2, c: 7}. What is prob of picking 2 t and 2 c? 1/6 Four letters picked without replacement from ppcppppppc. Give prob of picking 2 p and 2 c. 2/15 What is prob of picking 2 n when two letters picked without replacement from nnnnnnnxnnnna? 55/78 Four letters picked without replacement from {s: 4, d: 2, p: 3, i: 1, l: 1}. Give prob of picking 1 i and 3 p. 1/330 Three letters picked without replacement from {b: 1, d: 1, c: 1, g: 1, l: 1}. Give prob of picking 1 c, 1 l, and 1 d. 1/10 Three letters picked without replacement from wbbbwwwwbwxxa. What is prob of picking 1 x and 2 b? 6/143 Two letters picked without replacement from {o: 18, f: 2}. Give prob of picking 1 f and 1 o. 18/95 Four letters picked without replacement from {f: 5, s: 3, i: 1, c: 4}. What is prob of picking 2 f and 2 c? 12/143 Calculate prob of picking 1 w and 2 u when three letters picked without replacement from wwwwwwuwwwuww. 1/26 Three letters picked without replacement from vyyyvy. What is prob of picking 2 v and 1 y? 1/5 Calculate prob of picking 2 l when two letters picked without replacement from qaaanqlqqal. 1/55 Two letters picked without replacement from {r: 3, w: 2, f: 2, b: 4, a: 8, q: 1}. Give prob of picking 2 f. 1/190 What is prob of picking 1 o and 1 h when two letters picked without replacement from {o: 2, h: 3}? 3/5 Calculate prob of picking 1 k and 1 m when two letters picked without replacement from gkmggkmkmkggkmkmdmgk. 21/95 Two letters picked without replacement from {g: 10, k: 3, x: 1, t: 1}. What is prob of picking 1 g and 1 k? 2/7 Four letters picked without replacement from {o: 1, k: 1, g: 2, z: 1}. What is prob of picking 1 k, 1 z, and 2 g? 1/5 Four letters picked without replacement from ddnbdntnnltbnnt. What is prob of picking 1 b, 1 d, and 2 t? 6/455 Two letters picked without replacement from zfdezzdzzdzzzzdd. Give prob of picking 1 f and 1 z. 3/40 Four letters picked without replacement from sssttsssttttssttttst. What is prob of picking 2 t and 2 s? 132/323 Four letters picked without replacement from {y: 9, a: 1, k: 1, h: 3}. Give prob of picking 2 h, 1
{ "pile_set_name": "DM Mathematics" }
= -4*x + 677. Is x prime? True Suppose -9277 = -8*o + 811. Is o prime? False Let o = 2849 - -422. Is o prime? True Suppose 6*j = 7*j - 163. Is j a prime number? True Suppose -m + 141 = -0*m. Is m a prime number? False Let a = -9 + 2. Let v be (6/(-4))/(a/56). Is 1/4 - (-3033)/v prime? False Let k(h) = -2*h**3 - 3*h**2 - 3*h + 1. Let s(b) = -b + 3. Let j be s(8). Is k(j) composite? False Let b = -171 - -436. Is b a prime number? False Let t be -1 + (-3 - (-3 - -6)). Let x(k) = k**2 + 4*k + 10. Is x(t) composite? False Let p(i) = 145*i**2 + 9*i + 2. Let z(k) = 72*k**2 + 4*k + 1. Let m(a) = -2*p(a) + 5*z(a). Is m(-1) composite? True Is -1*(25*-5 - 2) prime? True Is 2/12 - 2766/(-36) a composite number? True Let w(a) = 5*a**2 + 13*a - 11. Is w(-15) a prime number? True Let x be 7/((-4)/(4 - 8)). Suppose g + l = x + 34, g = -3*l + 49. Is g a prime number? True Suppose u = 3*c - 432, -u = -1 - 2. Suppose -2*i + 31 = 2*x - 37, 4*i + x = c. Is i composite? False Suppose -2*i + 3 + 5 = 0. Suppose -2*x + 440 = 2*z - 0*x, -i*z = x - 889. Is z prime? True Suppose 2*t = t + i + 10, -2*t - i = -35. Let o = t - -210. Suppose -r = -2*s + 152, 3*s - 2*r - r = o. Is s a prime number? False Let n(g) = g**3 + 2*g**2 + 21*g + 7. Is n(9) a prime number? True Let s = -15 + 22. Suppose 2*k + 5 = -s. Let n(i) = -5*i + 5. Is n(k) a composite number? True Suppose -79 = -7*r + 187. Suppose -r = -p - p + 2*m, -5*m = 20. Is p a composite number? True Let q(n) = 9*n**2 + 7. Is q(-6) composite? False Suppose 3991 = 5*w - 3*r, -4*w + 803 = -3*w - 3*r. Is w composite? False Is (-1*(-1)/(-2))/(7/(-14686)) prime? True Let u = -677 + 1468. Is u a prime number? False Is 1144/24 - (-2)/(-3) composite? False Suppose -3*k = -0*k + 4914. Let b be 30/2*(-3)/(-9). Is 2/b + k/(-30) prime? False Let u(v) = 5*v - 5. Suppose -2*b - 4 = -3*b. Suppose -8 = -b*j + 8. Is u(j) prime? False Let t be 1/(-1) + 4*1. Let n be 5*(-41 + -1 - t). Let a = -142 - n. Is a composite? False Let p(c) = 15*c**2 - 2*c - 2. Let h be p(-2). Let y = 113 - h. Is y a prime number? False Let l(p) = -7*p + 3. Let f(c) be the second derivative of -3*c**4/4 + c**2/2 + 2*c. Let r be f(1). Is l(r) composite? False Let d(t) = 21*t**2 + 7*t + 7. Is d(-5) prime? False Suppose -1 - 5 = -3*t. Let k be 2 + -1 + -1 + t. Suppose 0 = -k*y - 3*y + 725. Is y composite? True Let x(t) = -t**2 + 15*t - 13. Is x(7) composite? False Let v(t) = 38*t - 8. Let m(h) = -39*h + 7. Let k(a) = -7*m(a) - 6*v(a). Is k(2) composite? False Let b(j) = -j + 8. Let h be b(0). Let r = 6 + h. Is r prime? False Let o(q) = q + 7*q + 9 + 0*q. Is o(7) prime? False Let n(p) = -p**3 - 8*p**2 + 8*p - 7. Let x be n(-9). Is ((-5)/3)/(x/(-78)) prime? False Suppose 0 = -5*x - 21 - 9. Let o = x + 11. Is ((-3)/o)/((-1)/15) a prime number? False Let z be 0/(1 + -1 - -1). Let t be 0/(z + 2) + 502. Suppose 2*d - 4*p = t, 0 = -2*d - p + 244 + 263. Is d a composite number? True Let t = -15 - -2. Let n = -23 - t. Is (-4)/n - 28/(-5) a composite number? True Let w = 4 + -4. Let t be 1 - -1 - w/1. Is 2*((-7)/(-2) + t) a composite number? False Suppose -h + 257 = a - 4*a, h - a = 265. Is h composite? False Let p(r) = 6*r + 1. Suppose -7 = -s + 11. Let h be 140/s - 8/(-36). Is p(h) a prime number? False Let x be 1*-6 + 3 - -4. Let a be 124 + (1 - 2)*x. Suppose 0 = -4*s + r + 99, 4*s - a = 3*r - 34. Is s composite? True Suppose 10 = 4*k - 2*k. Suppose 0*r = k*r - 3755. Is r a prime number? True Let f(o) = -4*o - 11. Let l = -17 - -9. Is f(l) a composite number? True Suppose -o - 3 = -4*o. Let h be 18 + o + 2/2. Let t = 99 + h. Is t a prime number? False Let o be (1 + -7)/((-3)/(-2)). Let u = -1 - o. Suppose u*i - 76 = 53. Is i prime? True Is 2 + 896 + (3 - 18/3) prime? False Suppose 4*d + 0*d - 889 = -c, 0 = -5*d - 5*c + 1130. Is d a prime number? False Suppose y + n + 3 - 1 = 0, -n = 2*y + 8. Let w(g) = -g**2 - 6*g + 3. Let b be w(y). Suppose 53 = b*o - 2*o. Is o a composite number? False Let c be 14/8 - 4/(-16). Is ((-21)/c + -1)*-2 prime? True Let z(q) = 2604*q - 280. Let d(i) = -84*i + 9. Let x(m) = 63*d(m) + 2*z(m). Is x(-5) prime? False Is (2 + -1 + 3)*(-443)/(-4) prime? True Let q be (-113)/(0 + 1/(-3)). Suppose 0 = -3*j - 2*l + 339, -5*j = -2*j - l - q. Is j a composite number? False Suppose 138 = 4*u - 2*u - 4*l, 4*u - 2*l - 276 = 0. Is u a prime number? False Suppose -m = m - 190. Suppose -m = -2*w - 3*w. Is w a composite number? False Let n = -337 + 684. Is n a prime number? True Let a(y) = -y**3 + 8*y**2 + 12*y + 16. Is a(9) a composite number? False Let o(s) = 35*s. Let k be 2 + -3 + -1 + -1. Let h = -2 - k. Is o(h) composite? True Let n(k) = 6*k - 8*k + 7 - 4. Is n(-9) a composite number? True Let u be 9/(-27)*(1 - 10). Suppose -388 = -a - u*a. Is a a composite number? False Suppose 3*j + 1234 = 2*n, -5*n - 3*j + 0*j + 3064 = 0. Is n composite? True Let b(s) = s**2 - 4. Suppose 4*h = -0*j + 2*j + 14, 20 = -4*j + 4*h. Let u be b(j). Suppose -614 = 3*c - u*c. Is c prime? True Suppose 5*s - 2*s = -4*d - 76, -2*d - 2 = 0. Let a = s + 46. Is a a prime number? False Is ((-2)/2)/((-7)/469) composite? False Let k be 1*(1 + (-6)/3). Let c(s) = 77*s**2 + s + 1. Is c(k) a composite number? True Let c(l) = l**2 + 4*l + 7. Let o be c(-6). Is (o/(-2))/((-8)/16) a prime number? True Let i(j) = j**2 - 10*j + 2. Let s(t) = -t**2 + 1. Let d(a) = i(a) - 3*s(a). Let x be (0/2 - 1)*11*-1. Is d(x) composite? False Let w(y) = y**2 + 10*y - 4. Is w(-19) composite? False Let z(b) = 4*b**3 + 2*b**2 - 6*b - 4. Let y(x) = 7*x**3 + 4*x**2 - 12*x - 7. Let a(q) = -3*y(q) + 5*z(q). Is a(-4) a prime number? False Is 1*(1/(-5) - (-14488)/40) composite? True Let t(l) = -l**3 - 7*l**2 - 7*l + 1. Let n be t(-6). Is (-44)/(-7) - 2/n composite? True Is -4*(3 + 669/(-12)) composite? False Let w be (2/(-6))/((-2)/30). Suppose r - 20 = -5*m + 3*r, -w*m + r = -20. Is 2/m*(6 - -44) a composite number? True Suppose 4*m = 297 - 1465. Let d = -118 - m. Suppose 2*c = 4*c - d. Is c a prime number? False Let q(g) be the second derivative of -g**5/20 - 7*g**4/12 + g**3 + 3*g**2/2 + 3*g. Suppose 0 = -t - 5 - 3. Is q(t) a prime number? True Let w = 879 - -4. Let l = w - 624. Is l a composite number? True Let o be 0 - (1 - (0 - -1)). Suppose -4*b + 0*s + 5*s + 117 = o, 0 = -5*b - 2*s + 105. Is b prime? True Suppose 4*x = -0*x - 80. Is (-2475)/x - 3/4 a prime number? False Let p(j) = 82*j - 17. Is p(7) a prime number? True Let b(q) = q**2 + 2*q + 2. Suppose 6*n = 3*n + 21. Is b(n) a prime number? False Let l = 461 + -169. Let x = 493 - l. Is x a composite number? True Let c be 6/4*(-20)/(-6). Suppose -c*g + 2 = 62. Is ((-8)/g)/((-4)/(-114)) composite? False Let r be 2/(-4) + (-34)/(-4). Let c(o) = 5*o**2 + 5*o - 10. Let h be c(r). Is ((-1)/(-2))/(5/h) composite? True Is (-13996)/(-52) - 6/39 a prime number? True Let j be -111 - (-2)/(-5 - -3). Is (2 + j)*3/(-6) prime? False Suppose -5*v + 10 = 0, -5*i - 5*v + 9245 = -0*v. Is i composite? False Let h(u) = -3*u**2 - u - 9. Let c be h(7). Let l = 312 + c. Is l composite? False Let q be (38/(-2))/((-2)/2). Let g(t) = t**2 - 6*t + 5. Let c be g(5). Is q/((c - -2) + -1) composite? False Let y(c) = 2*c**3 - 31*c**2 + 9*c + 7. Is y(16) prime? False Let r(u) = u**3 - 5*u**2 - u - 1. Let m be r(5). Let q = -10 - m. Is (-2)/4 + (-138)/q a composite number? True Let o = -60 - -107. Is o a composite number? False Suppose -9 = -a + q + q, -3*a = -3*q - 27. Suppose s + 6 = -a. Is 5*(-1 - 114/s) composite? True Let q(m) = -m**2 + 7*m + 3. Let s be q(6). Let h be (-16 + 2)/(2/s). Let o = -28 - h. Is o prime? False Let h(o) = o**3 - o**2 + 4*o + 7. Suppose 0 = 5*a - 15 - 10. Is h(a) a composite number? False Let x(h) = -180*h**3 - 8*h**2 - 8*h + 11. Let j(c) = -60*c**3 - 3*c**2 - 3*c + 4. Let b = -8 + 5. Let z(i) = b*x(i) + 8*j(i). Is z(1) a composite number? False Let o(w) = 23*w**2 - 26*w + 23. Let k(r) = -8*r**2 + 9*r - 8. Suppose m - 4*m = -5*l - 76, -3*l - 83 = -4*m. Let s(b) = m*k(b) + 6*o(b). Is s(2) composite? True Suppose 5*w + 10 = 0, -3*w + 0*w = 2*i - 8524. Is i a prime number? False Let t = 16 - 11. Suppose -t*m + 1310 = 5*y, 3*m = 4*y + y - 1286. Is y prime? False Suppose -5*f + s + 25 = -2*s, 14 = 2*f - 2*s. Let w(j) = 54*j**2 - 4*j + 3. Is w(f) composite? False Le
{ "pile_set_name": "DM Mathematics" }
- i*h**3 + 3*h**2 + 59*h**3 - 10*h**5 - 4*h**4 = 0. -1, -2/5, 0, 1 Let j be 9/3 - (-10 - -7). Factor -j*u**3 + u**4 + 2*u**3 + u**4 - 3*u**5 + 5*u**5. 2*u**3*(u - 1)*(u + 2) Factor -4*g**3 + 2 - 1/2*g**5 + 9/2*g + g**2 - 3*g**4. -(g - 1)*(g + 1)**3*(g + 4)/2 Let t(r) be the first derivative of 1/15*r**6 - 13 + 4/5*r - 8/25*r**5 + 2/5*r**4 - r**2 + 4/15*r**3. Factor t(x). 2*(x - 2)*(x - 1)**3*(x + 1)/5 Suppose -4*i = -i - 5*t - 37, -3*t - 15 = 0. Factor -4*m**i + 2*m**4 - 6*m**2 - 14*m + 8*m**3 + 1 + 6*m + 7. -2*(m - 2)**2*(m - 1)*(m + 1) Let h(k) = -20*k + 6. Let r be h(-5). Factor c**2 - r*c + 211*c - 1 - 106*c + c**3. (c - 1)*(c + 1)**2 Let x be (-50)/(-275) - (-1 + 436/(-22)). Let q be (-4 - (-158)/42) + 12/x. Factor q*w - 1/3*w**3 + 1/3 - 1/3*w**2. -(w - 1)*(w + 1)**2/3 Let d be (-2 + 1 - -67)*2/4. Let c = d + -30. Find h such that -9/2*h**c + 3/2*h**2 + 5/2*h + 1/2 = 0. -1/3, 1 Suppose -3*k = -3*u - 12, 0 = 5*k + 5*u - 8 - 22. Let c(s) be the first derivative of 4/7*s - 2/7*s**3 + 5 + 2/35*s**k - 1/7*s**2 + 1/14*s**4. Factor c(v). 2*(v - 1)**2*(v + 1)*(v + 2)/7 Let c(l) be the third derivative of -l**5/150 + 19*l**4/60 + 4*l**3/3 - 93*l**2. Factor c(n). -2*(n - 20)*(n + 1)/5 Let a(j) be the third derivative of -8*j**6/3 + 28*j**5/3 - 95*j**4/8 + 15*j**3/2 - 131*j**2. Factor a(f). -5*(f - 1)*(8*f - 3)**2 Let h(l) be the third derivative of -l**5/12 - 5*l**4/4 - 15*l**3/2 - 52*l**2. Factor h(c). -5*(c + 3)**2 Let u = 567 + -563. Let j(n) be the second derivative of 1/12*n**3 + 0*n**2 - 1/48*n**u + 0 - 10*n. Solve j(q) = 0. 0, 2 Suppose 0 = -6*t + 4*t + 10. Suppose -t*r = -25*r + 80. Find b such that -4/9*b + 4/9*b**3 - 2/9*b**2 + 2/9*b**r + 0 = 0. -2, -1, 0, 1 Factor 3*n**2 + 88*n**4 - 96*n**4 - 4*n + 5*n**2 + 4*n**5. 4*n*(n - 1)**3*(n + 1) What is y in -3*y**4 + 3*y**2 - 59*y**2 + 1756*y**3 + 5*y**4 - 1762*y**3 = 0? -4, 0, 7 Let x = -259 + 257. Let r be ((-5 - x)/(-21))/(2/6). Factor -6/7 - 3/7*i + r*i**2. 3*(i - 2)*(i + 1)/7 Suppose 1041 = 220*m + 601. Factor 484/5 + 16/5*v**m + 176/5*v. 4*(2*v + 11)**2/5 Suppose 2*j + 3*q = -2*j + 64, -2*q - 5 = -j. Suppose 5*p + 10 = 5*l, l - j = -4*l + 2*p. Factor -48*m**3 + l*m + 2 - 11*m + 8*m**2 + 5*m + 16*m. -(3*m - 2)*(4*m + 1)**2 Let k(u) be the third derivative of 1/105*u**7 + 0 - 12*u**2 + 0*u + 0*u**6 + 0*u**4 + 0*u**3 - 1/30*u**5. Let k(d) = 0. Calculate d. -1, 0, 1 Let s(f) be the first derivative of -f - 2 + 0*f**5 + 2/21*f**3 - 1/14*f**4 + 1/105*f**6 + 0*f**2. Let t(a) be the first derivative of s(a). Factor t(i). 2*i*(i - 1)**2*(i + 2)/7 Let a be 1/(-7) + (-166)/14. Let m be (3/(-2))/(9/a). Factor 1 - 1/3*p**m + 2/3*p. -(p - 3)*(p + 1)/3 Determine v, given that -6/5*v**2 - 96/5 + 68/5*v - 2/5*v**3 = 0. -8, 2, 3 Factor 11/8*c**3 - 3/4*c**2 + 1/8*c**5 + 0*c - 3/4*c**4 + 0. c**2*(c - 3)*(c - 2)*(c - 1)/8 Let g(j) be the third derivative of -j**6/48 - 4*j**5/45 - 19*j**4/144 - j**3/18 + 2*j**2 + 70*j. Suppose g(p) = 0. Calculate p. -1, -2/15 Let v be (-6)/(-4)*(-48)/(-18). Let s be (-2)/v*-2*9/12. Factor 0 - 3/2*f + s*f**2. 3*f*(f - 2)/4 Let l(i) be the third derivative of 1/12*i**5 + 0*i**3 + 1/40*i**6 + 9 + 1/12*i**4 + 0*i - 1/336*i**8 + 3*i**2 - 1/210*i**7. Factor l(a). -a*(a - 2)*(a + 1)**3 Find r, given that 68/3*r**2 - 2/3*r**5 - 52/3*r**3 + 6*r**4 + 10/3 - 14*r = 0. 1, 5 Let o(p) be the first derivative of 8/3*p**2 - 32/3*p - 2/9*p**3 - 3. Factor o(s). -2*(s - 4)**2/3 Suppose -9/2*w**2 + 21/4*w + 3/4*w**3 + 3/8*w**4 - 15/8 = 0. What is w? -5, 1 Let p(l) be the first derivative of l**5/20 + 5*l**4/4 + 25*l**3/2 - 9*l**2 - 8. Let h(q) be the second derivative of p(q). Factor h(m). 3*(m + 5)**2 Suppose 6*b = b - 3000. Let y be (1 - 2/(-10))/((-270)/b). Factor -2*z - 2/3*z**3 + y*z**2 + 0. -2*z*(z - 3)*(z - 1)/3 Let l(x) = x. Let t(q) = 2*q + 9. Let j(k) = 3*l(k) - t(k). Let b be j(9). Factor -10*g**3 - 3 + 4*g**3 + 0 + 6*g + 3*g**4 + b*g**4. 3*(g - 1)**3*(g + 1) Suppose 0 = 6*i + 17 - 5. Let x be (-36)/(-8) + i*2. Solve -1/2*h**2 + x + 0*h = 0 for h. -1, 1 Factor -7*g**5 - 37*g**5 - 296*g**3 - 19*g - 8 - 224*g**2 - 57*g - 4*g - 184*g**4 + 4*g. -4*(g + 1)**4*(11*g + 2) Let f(k) be the first derivative of -2*k**3/3 + 9*k**2 - 16*k + 226. Determine s so that f(s) = 0. 1, 8 Let l(s) = -s**2 + 20*s - 84. Let v be l(6). Let y(b) be the first derivative of -2 - 2/3*b**2 + 1/6*b**4 + 2/9*b**3 + v*b. Solve y(t) = 0. -2, 0, 1 Let r(z) be the first derivative of z**4/28 + 15*z**3/7 - 3. Solve r(o) = 0 for o. -45, 0 Suppose -13*f - 45 = -28*f. Factor 1/3 - 2/3*d**2 + 0*d**f + 0*d + 1/3*d**4. (d - 1)**2*(d + 1)**2/3 Factor -7/6 + 29/6*k - 2/3*k**2. -(k - 7)*(4*k - 1)/6 Suppose 3*r = -4*a + 17, -3*a - a + 22 = -2*r. Factor -6*q**2 - 6*q**5 - 10*q + 16*q**3 - 10*q + 10*q**a - 2*q**2 - 8 + 16*q**4. 4*(q - 1)*(q + 1)**3*(q + 2) Let w(c) be the second derivative of 0 + 0*c**2 - 1/4*c**5 + 2*c + 1/6*c**6 - 5/6*c**4 + 0*c**3. Factor w(b). 5*b**2*(b - 2)*(b + 1) Let x = 27 + -16. Let r = x - 9. Factor -4*j + j + 0*j + r + j**2. (j - 2)*(j - 1) Let v(k) = 8*k**3 + 24*k**2 + 34*k + 18. Let o(y) = -y**3 - y**2 + y + 1. Let w(h) = 6*o(h) + v(h). Let w(f) = 0. What is f? -6, -2, -1 Let n(i) be the third derivative of -i**5/150 + 22*i**4/15 - 1936*i**3/15 + 178*i**2. Factor n(v). -2*(v - 44)**2/5 Let m = 0 + 3. Factor -8*f**3 - 2*f**m + 52 - 8*f**2 - 52. -2*f**2*(5*f + 4) Let u be 4 - (2/2)/(2/4). Find w such that -8*w - 13*w + 3*w**2 + 13 - 6*w**u + 11 = 0. -8, 1 Let t = 29 - 27. Let v be (-24)/(-78) - (-23360)/1820. Let -4/7 + 24/7*l**t - v*l**3 - 30/7*l**5 + 92/7*l**4 + 10/7*l = 0. What is l? -1/3, 2/5, 1 Let k = 53/3 - 157/9. Let x(g) be the first derivative of k*g**3 - g**2 - 2 + 4/3*g. Factor x(i). 2*(i - 2)*(i - 1)/3 Factor -17*t**2 + 10 - 48*t**2 + 9*t + 30*t**3 - 20*t**2 + 36*t. 5*(t - 2)*(t - 1)*(6*t + 1) Let l(q) be the second derivative of -q**6/51 + 11*q**5/85 - 4*q**4/51 + 48*q + 2. Find o, given that l(o) = 0. 0, 2/5, 4 Suppose 4*t - 13 = 4*q - 3*q, -t = -5*q - 27. Let h be 6/14 + 0/(-3). Factor -6/7 - h*s**t + 9/7*s. -3*(s - 2)*(s - 1)/7 Let n(x) be the third derivative of x**6/480 + x**5/30 - x**4/96 - x**3/3 - x**2 + 22*x. Find o, given that n(o) = 0. -8, -1, 1 Let y(o) = -o**3 - 38*o**2 - 38*o + 1. Let j be y(-1). Factor 5/2*n**j - 7/4*n**3 - 3/4*n + 0. -n*(n - 1)*(7*n - 3)/4 Let z be (-3435)/18 - (-1 - -2). Let o = z - -192. Factor 1/6*x**4 + 1/6*x**5 - 1/2*x**3 - o*x**2 + 0 + 1/3*x. x*(x - 1)**2*(x + 1)*(x + 2)/6 Suppose 2*o - 73 = -67. Suppose 3 = -3*w - 6*y + 3*y, -o*w = -5*y - 37. Solve w*b - 2/3*b**2 - 6 = 0 for b. 3 Suppose 4*s - 87 = 5*f, 0 = 3*s - 2*s - 3*f - 13. What is q in q + s*q**2 - 8*q**2 - 16 - 33*q = 0? -2/5, 2 Suppose -5*k - 5 = 40. Let i = k - -13. Solve 45*f**3 - 12*f - 15*f**5 - 9*f**2 - 3*f**2 - 6*f**i - 2*f**4 + 2*f**4 = 0 for f. -2, -2/5, 0, 1 Let l = -17 - -19. Suppose 4 - p - 5*p + 3*p**2 + 2*p - l*p**2 = 0. Calculate p. 2 Let x(l) = -l**3 - 10*l**2 - 9*l + 8. Let q be x(-9). Factor -9*v**3 - 5*v**4 + 11*v**3 - 15*v**5 + q*v**3. -5*v**3*(v + 1)*(3*v - 2) Let q(o) = -3*o**2 + 3*o - 34. Let b(x) = -x**2 - x - 2. Let h(i) = 10*b(i) - 2*q(i). Let h(s) = 0. What is s? -6, 2 Let j be (-1)/4 + 9*(-117)/(-324). Let n(f) be the second derivative of 3/4*f**4 + 0 + 3/2*f**j + 8*f + 3/2*f**2 + 3/20*f**5. Factor n(t). 3*(t + 1)**3 Let j be (-48)/(-60) + -18*9/(-135). Factor 0 - 5/4*x**4 + 5/4*x**j + 5*x**3 - 5*x. -5*x*(x - 4)*(x - 1)*(x + 1)/4 Let w(a) be the first derivative of -a**6/660 + a**5/330 + a**4/132 - a**3/33 - 5*a**2 - 13. Let h(p) be the second derivative of w(p). Factor h(x). -2*(x - 1)**2*(x + 1)/11 Factor -18/5*a**2 - 2/5*a + 2/5*a**3 + 18/5. 2*(a - 9)*(a - 1)*(a + 1)/5 Let c(b) = -6. Let h(i) = 1 + 1 + 3 - 4. Let q(g) = -3*c(g) - 16*h(g). Let z(d) = -2*d**2 - 20*d - 70. Let v(l) = -20*q(l) - 2*z(l). Solve v(a) = 0 for a. -5 Let d(v) be the second derivative of 3*v**3 + 0*v**2 + 10*v + 0 + 5/4*v**4 + 3/20*v**5. Find k such that d(k) = 0. -3, -2, 0 Let l(x) be the second derivative of -x**4/54 + 8*x**3/9 - 128*x. Factor l(b). -2*b*(b - 24)/9 Suppose -6*j = -5992 + 5980. Let s be (-1 - 0) + 22/10. Solve -8/5*k + 2/5*k**j + s = 0 for k. 1, 3 Factor -8*r**2 + 2*r + r - 50 + 2*r**2 - 3*r**3 + 56. -3*(r - 1)*(r + 1)*(r + 2) Solve -1568/13 - 26*t**2 + 4816/13*t + 6/13*
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
t 2*y**4/17 - 36*y**3/17 + 8*y**2/17 + 1296*y/17 + 2240/17 = 0. -4, -2, 10, 14 Solve -117627*h**2 + 235239*h/2 + 15/2 = 0. -5/78418, 1 Determine f so that -f**2/4 + 435*f/2 - 44654 = 0. 332, 538 Find a, given that 2*a**5/5 + 548*a**4/5 + 12396*a**3/5 + 100296*a**2/5 + 325458*a/5 + 72900 = 0. -250, -9, -3 Solve -10*t**2/3 + 22622*t + 27148/3 = 0 for t. -2/5, 6787 Factor -i**2/11 - 37*i + 6330/11. -(i - 15)*(i + 422)/11 Factor -2*w**3 - 44*w**2 + 1690*w + 5412. -2*(w - 22)*(w + 3)*(w + 41) Let 2*d**5/5 + 4244*d**4/5 - 434544*d**3/5 + 1278148*d**2/5 - 253930*d + 84360 = 0. Calculate d. -2220, 1, 95 Solve 4*o**5 - 240*o**4 + 2564*o**3 - 5640*o**2 = 0. 0, 3, 10, 47 Find c, given that 4*c**2 - 440*c + 8964 = 0. 27, 83 Let -5*m**3/2 + 201*m**2 + 819*m/2 + 206 = 0. Calculate m. -1, 412/5 Factor -5*s**3 - 500*s**2 - 10260*s + 116640. -5*(s - 8)*(s + 54)**2 Suppose -d**2 - 6085*d = 0. Calculate d. -6085, 0 Factor y**4/5 - 996*y**3/5 - 22386*y**2 - 800660*y - 9441075. (y - 1101)*(y + 35)**3/5 Factor s**3/6 - 27872*s**2/3 + 258930879*s/2 + 258968043. (s - 27873)**2*(s + 2)/6 Factor -2*k**3 - 32812*k**2/7 - 19220800*k/7 + 5494336/7. -2*(k + 1172)**2*(7*k - 2)/7 Find i, given that 2*i**5/15 + 2*i**4/5 - 596*i**3/15 + 224*i**2 = 0. -21, 0, 8, 10 Factor 5*c**3 - 1555*c**2 + 43170*c + 750600. 5*(c - 278)*(c - 45)*(c + 12) Factor l**3/5 + 226*l**2/5 + 449*l/5 + 224/5. (l + 1)**2*(l + 224)/5 Factor -3*f**3 - 48*f**2 + 1353*f - 1302. -3*(f - 14)*(f - 1)*(f + 31) Factor -5*t**5 - 80*t**4 - 260*t**3 - 240*t**2. -5*t**2*(t + 2)**2*(t + 12) Let 14*p**3/9 - 2979596*p**2/9 + 158536002856*p/9 - 45295757584/9 = 0. Calculate p. 2/7, 106414 Factor -3*q**2 - 1262628*q - 132852455532. -3*(q + 210438)**2 What is g in -3*g**5 + 1020*g**4 - 20214*g**3 + 37380*g**2 - 18183*g = 0? 0, 1, 19, 319 Let 4*h**2 - 4136*h/7 + 14976/7 = 0. What is h? 26/7, 144 Determine c, given that -5*c**4 + 565*c**3 + 11790*c**2 + 4320*c - 565920 = 0. -12, 6, 131 Determine o so that -22*o**4/9 - 28640*o**3/9 + 49630*o**2/3 - 141140*o/9 + 20912/9 = 0. -1307, 2/11, 1, 4 Find k, given that -3*k**3/5 + 117*k**2/5 - 918*k/5 + 1392/5 = 0. 2, 8, 29 Factor b**2/2 + 339*b + 31696. (b + 112)*(b + 566)/2 Determine d so that -3*d**5/2 + 1683*d**4/4 + 390561*d**3/4 - 147402*d**2 = 0. -152, 0, 3/2, 431 Let y**2 + 88256*y + 1947280384 = 0. Calculate y. -44128 Factor -2*p**2 + 270444*p - 9142494642. -2*(p - 67611)**2 Find f, given that -2*f**3/5 - 226*f**2 + 134332*f/5 - 26640 = 0. -666, 1, 100 Factor 5*z**3 + 1025*z**2 + 1010*z - 2040. 5*(z - 1)*(z + 2)*(z + 204) Solve -2*y**3/5 + 2834*y**2/5 - 239750*y + 26093750 = 0 for y. 167, 625 Let -9*v**4 - 426*v**3 + 728*v**2 - 342*v + 49 = 0. Calculate v. -49, 1/3, 1 Factor -2*d**2 + 1595*d/6 - 199/3. -(3*d - 398)*(4*d - 1)/6 Let 108*y**4 - 384*y**3 - 764*y**2 - 80*y = 0. What is y? -4/3, -1/9, 0, 5 Let 35*d**5 - 795*d**4 + 6140*d**3 - 17220*d**2 + 8000*d + 3840 = 0. What is d? -2/7, 1, 6, 8 Solve 2*d**2/7 - 176434*d/7 + 176420 = 0. 7, 88210 Suppose -4*z**4/5 - 413368*z**3/5 - 10679155584*z**2/5 + 21359964672*z/5 = 0. Calculate z. -51672, 0, 2 Determine z so that 2*z**4/15 - 148*z**3/15 + 538*z**2/15 + 1528*z/15 + 56 = 0. -1, 6, 70 Let 7*m**5/6 - 59*m**4/2 + 515*m**3/3 - 350*m**2 + 764*m/3 - 48 = 0. What is m? 2/7, 1, 2, 4, 18 Factor -s**3 - 115*s**2 + 1116*s. -s*(s - 9)*(s + 124) Solve -16*l**5 - 28*l**4 + 1104*l**3 - 2160*l**2 = 0. -10, 0, 9/4, 6 Solve 5*o**4 - 51265*o**3 + 131379345*o**2 + 131738265*o - 788583870 = 0 for o. -3, 2, 5127 Factor 3*w**5 - 2430*w**4 + 504075*w**3 - 4860000*w**2 + 12000000*w. 3*w*(w - 400)**2*(w - 5)**2 Let -3*r**5 - 843*r**4 + 6021*r**3 - 7857*r**2 - 23166*r + 46656 = 0. Calculate r. -288, -2, 3 Suppose g**3 - 238*g**2 + 13161*g + 121032 = 0. Calculate g. -8, 123 Solve -4*b**4 + 64*b**3 + 1816*b**2 - 28576*b - 30324 = 0. -21, -1, 19 Find h such that -33*h**4 + 38*h**3 + 316*h**2 + 232*h + 32 = 0. -2, -2/3, -2/11, 4 Suppose -52*h**4/5 - 2088*h**3/5 - 2244*h**2/5 + 752*h + 624/5 = 0. Calculate h. -39, -2, -2/13, 1 Factor 2*a**3/3 - 326*a**2/3 - 220*a. 2*a*(a - 165)*(a + 2)/3 Suppose -2*q**3 - 21908*q**2 + 394830*q - 1777464 = 0. What is q? -10972, 9 Solve 2*a**2 + 293364*a + 10757804562 = 0 for a. -73341 Solve 50*v**5 - 20795*v**4 - 43880*v**3 - 4180*v**2 = 0 for v. -2, -1/10, 0, 418 Factor -105*h**2 - 15017*h - 286. -(h + 143)*(105*h + 2) Factor -2*c**2 - 1854*c - 334180. -2*(c + 245)*(c + 682) Solve -h**4/7 - 360*h**3/7 + 1086*h**2/7 - 1088*h/7 + 363/7 = 0 for h. -363, 1 Suppose -2*l**4 + 192*l**3 + 204*l**2 - 976*l + 582 = 0. Calculate l. -3, 1, 97 Determine v so that -v**4/2 - 394*v**3 + 3163*v**2/2 - 1979*v + 792 = 0. -792, 1, 2 Find w such that -w**5/2 + 77*w**4/4 - 601*w**3/4 + 1501*w**2/4 - 1497*w/4 + 261/2 = 0. 1, 3/2, 6, 29 Factor -4*a**5/5 + 9216*a**4/5 + 27672*a**3/5 + 5536*a**2 + 9228*a/5. -4*a*(a - 2307)*(a + 1)**3/5 Suppose 2*q**5/7 + 1132*q**4/7 - 4*q**3/7 - 2264*q**2/7 + 2*q/7 + 1132/7 = 0. What is q? -566, -1, 1 What is q in -4*q**5 + 120*q**4 - 612*q**3 + 880*q**2 - 384*q = 0? 0, 1, 4, 24 Suppose -4*m**2/3 + 1656*m - 19808/3 = 0. What is m? 4, 1238 Solve -2*v**2/9 + 6200*v/3 - 37192/9 = 0. 2, 9298 Find v, given that 1587*v**4 - 58788*v**3 + 301548*v**2 + 4498560*v + 9292800 = 0. -80/23, 22 Suppose -x**5 - 158*x**4 - 1059*x**3 - 238*x**2 + 9760*x + 14496 = 0. Calculate x. -151, -4, -2, 3 Factor -5*y**4 - 4035*y**3 + 8085*y**2 - 4045*y. -5*y*(y - 1)**2*(y + 809) Find y such that -y**5/8 - 329*y**4/8 - 4193*y**3 - 269945*y**2/2 - 1583300*y - 5041000 = 0. -142, -20, -5 Factor u**5/6 + 3001*u**4/6 - 2505*u**3. u**3*(u - 5)*(u + 3006)/6 Factor 3*q**4 + 3270*q**3 - 9828*q**2 + 9834*q - 3279. 3*(q - 1)**3*(q + 1093) Find t such that -5*t**3 + 39950*t**2 + 119885*t + 79930 = 0. -2, -1, 7993 Suppose s**2 - 212020*s - 212021 = 0. What is s? -1, 212021 Find l such that 2*l**2/5 + 2996*l/5 + 79434/5 = 0. -1471, -27 Determine q so that 2*q**2/3 - 92*q/3 - 610 = 0. -15, 61 Solve 3*w**3 - 2040*w**2 - 14481*w + 37098 = 0 for w. -9, 2, 687 Solve 2*m**3/7 - 2631*m**2/7 + 1312*m = 0 for m. 0, 7/2, 1312 Factor -b**2/6 + 20726*b/3 - 214783538/3. -(b - 20726)**2/6 Let -2*c**5/11 + 2646*c**4/11 + 12*c**3/11 - 15860*c**2/11 - 21162*c/11 - 7938/11 = 0. Calculate c. -1, 3, 1323 Let -z**5/5 + 18*z**4/5 + 1571*z**3/5 + 1512*z**2/5 - 620*z = 0. Calculate z. -31, -2, 0, 1, 50 Factor -4*q**2 - 727096*q - 1454176. -4*(q + 2)*(q + 181772) Let -2*n**5/15 - 28*n**4/5 + 2678*n**3/15 - 9976*n**2/15 - 24856*n/5 - 86528/15 = 0. Calculate n. -64, -2, 13 Solve -2*f**3/7 + 1240*f**2/7 + 76966*f/7 + 1140396/7 = 0 for f. -29, 678 Factor 4*o**2 - 13161552*o + 10826653190544. 4*(o - 1645194)**2 Determine w, given that 4*w**3 - 8214*w**2 + 65520*w - 130912 = 0. 4, 4091/2 Solve q**5/3 + 20*q**4/3 + 24*q**3 - 30*q**2 - 243*q - 270 = 0 for q. -15, -3, -2, 3 Let -22*h**5/9 - 106*h**4/3 - 326*h**3/9 + 126*h**2 - 52*h = 0. What is h? -13, -3, 0, 6/11, 1 Determine l, given that l**5 + 18*l**4 - 32*l**3 - 246*l**2 + 31*l + 228 = 0. -19, -3, -1, 1, 4 Factor 2*s**2 - 6576*s + 72094. 2*(s - 3277)*(s - 11) Let -y**5 - 41*y**4 + 54*y**3 + 476*y**2 - 1160*y + 672 = 0. What is y? -42, -4, 1, 2 Factor -3*w**2 - 414102*w - 14290038867. -3*(w + 69017)**2 Factor 2*d**5/5 - 14*d**4/5 - 738*d**3/5 - 810*d**2. 2*d**2*(d - 25)*(d + 9)**2/5 Factor -2*p**4/3 + 1344*p**3 + 20210*p**2/3. -2*p**2*(p - 2021)*(p + 5)/3 Find h, given that 2*h**3 - 12526*h**2 + 19693750*h - 253906250 = 0. 13, 3125 Factor -x**3/6 - 2447*x**2 + 29382*x - 88164. -(x - 6)**2*(x + 14694)/6 Factor -3*s**2/2 - 276861*s - 25550671107/2. -3*(s + 92287)**2/2 Factor b**2/2 - 3*b/2 - 9. (b - 6)*(b + 3)/2 Factor -2*m**2 + 20886*m + 83576. -2*(m - 10447)*(m + 4) Find x such that -2*x**2/3 + 832*x - 19840/3 = 0. 8, 1240 Factor 2*k**2 + 6236*k. 2*k*(k + 3118) Let 4*s**5 - 1925*s**4 + 477*s**3 + 1925*s**2 - 481*s = 0. What is s? -1, 0, 1/4, 1, 481 Factor 2*u**2/17 + 90*u/17 + 400/17. 2*(u + 5)*(u + 40)/17 Find j, given that 2*j**4/15 + 4262*j**3/15 + 151514*j**2 + 151230*j = 0. -1065, -1, 0 Find u, given that u**2/7 - 527*u/7 + 63732/7 = 0. 188, 339 Factor -3*x**3/5 + 357*x**2/5 + 3822*x/5 + 6192/5. -3*(x - 129)*(x + 2)*(x + 8)/5 Factor z**2/3 - 31006*z/3 + 62008/3. (z - 31004)*(z - 2)/3 Factor 4*a**2/3 + 430*a/3 + 10906/3. 2*(a + 41
{ "pile_set_name": "DM Mathematics" }
s prob of sequence wwjj when four letters picked without replacement from {j: 5, w: 8}? 28/429 What is prob of sequence jkk when three letters picked without replacement from jjkjkjj? 1/21 Four letters picked without replacement from mefmyeefmpemeepqe. Give prob of sequence qepe. 1/680 Two letters picked without replacement from {p: 2, u: 2, h: 1, o: 2, d: 1}. Give prob of sequence pd. 1/28 What is prob of sequence pkx when three letters picked without replacement from {p: 1, x: 3, v: 3, c: 1, k: 2, s: 3}? 1/286 Calculate prob of sequence aagd when four letters picked without replacement from {v: 1, a: 4, d: 6, c: 1, g: 2, r: 4}. 1/510 What is prob of sequence uuus when four letters picked without replacement from {s: 3, u: 7}? 1/8 What is prob of sequence jc when two letters picked without replacement from bwwjbwwcw? 1/72 What is prob of sequence tttt when four letters picked without replacement from {t: 7}? 1 Calculate prob of sequence iti when three letters picked without replacement from ititttttt. 1/36 Three letters picked without replacement from lvpjq. Give prob of sequence ljv. 1/60 Four letters picked without replacement from mzmmmmmmmmmmzmmzmzm. What is prob of sequence mmmz? 455/3876 Three letters picked without replacement from {q: 2, w: 3, a: 1, p: 4, v: 1}. What is prob of sequence aqw? 1/165 Three letters picked without replacement from {w: 3, p: 17}. Give prob of sequence wpw. 17/1140 Four letters picked without replacement from lplfrpppfpprprprfpfp. Give prob of sequence rrlr. 2/4845 Four letters picked without replacement from brkcbcckrbbbckrakbek. What is prob of sequence erbr? 1/3230 What is prob of sequence fxav when four letters picked without replacement from bvfxcaf? 1/420 Three letters picked without replacement from ttttttttottoottott. What is prob of sequence tot? 91/612 Four letters picked without replacement from zttzkzztkzzkzzzkzzt. Give prob of sequence kkzt. 11/1938 What is prob of sequence jjwp when four letters picked without replacement from kejpyyejwyyjeyy? 1/5460 Two letters picked without replacement from {y: 11, u: 3}. Give prob of sequence yy. 55/91 Calculate prob of sequence ymmy when four letters picked without replacement from ymqymymqy. 1/42 Two letters picked without replacement from hgghhghghghgg. Give prob of sequence hg. 7/26 Calculate prob of sequence pssp when four letters picked without replacement from spppppsp. 1/28 Calculate prob of sequence vb when two letters picked without replacement from {b: 1, m: 3, s: 3, f: 10, x: 1, v: 1}. 1/342 Two letters picked without replacement from yyyyyyyydyydyyyyyy. What is prob of sequence yy? 40/51 Four letters picked without replacement from {r: 3, p: 13, o: 3}. What is prob of sequence prpr? 13/1292 Calculate prob of sequence vxx when three letters picked without replacement from {t: 9, x: 2, v: 3, o: 2}. 1/560 What is prob of sequence wbwb when four letters picked without replacement from {b: 2, w: 17}? 1/171 Four letters picked without replacement from xrxprprxrbppppprpr. Give prob of sequence pppp. 7/306 Two letters picked without replacement from {o: 2, l: 1}. What is prob of sequence lo? 1/3 What is prob of sequence nmn when three letters picked without replacement from {m: 3, n: 2}? 1/10 Two letters picked without replacement from mmncnnncccnwnmw. Give prob of sequence cw. 4/105 Four letters picked without replacement from qeszszfof. What is prob of sequence fqse? 1/756 What is prob of sequence jnk when three letters picked without replacement from kjkjkjkkkjjknjjjjkkj? 1/76 Calculate prob of sequence aaa when three letters picked without replacement from aagglgglgggggg. 0 Four letters picked without replacement from {m: 5, f: 8}. Give prob of sequence fmfm. 28/429 Three letters picked without replacement from aaeabba. What is prob of sequence bab? 4/105 Four letters picked without replacement from ppjsnysmjpmmynm. Give prob of sequence ynjy. 1/4095 What is prob of sequence ymf when three letters picked without replacement from xxmrxxyyrf? 1/360 What is prob of sequence alla when four letters picked without replacement from aaaalaaaall? 7/165 What is prob of sequence annn when four letters picked without replacement from {v: 1, a: 3, n: 4}? 3/70 Four letters picked without replacement from kddkdkkkdk. What is prob of sequence kddk? 1/14 What is prob of sequence bb when two letters picked without replacement from {b: 11, o: 1}? 5/6 What is prob of sequence qqk when three letters picked without replacement from {f: 2, k: 2, q: 10}? 15/182 Four letters picked without replacement from {r: 2, u: 2, e: 2, q: 6}. What is prob of sequence rqur? 1/495 What is prob of sequence fu when two letters picked without replacement from vufvcve? 1/42 Calculate prob of sequence ibh when three letters picked without replacement from bhi. 1/6 Three letters picked without replacement from {u: 1, s: 2, e: 2, v: 6}. What is prob of sequence vsu? 2/165 Two letters picked without replacement from {c: 5, g: 3, a: 1, m: 4, z: 5}. Give prob of sequence mg. 2/51 What is prob of sequence vz when two letters picked without replacement from {v: 1, z: 1, k: 3}? 1/20 Calculate prob of sequence fmg when three letters picked without replacement from ffffgfgfgffggfgfmggf. 11/855 Three letters picked without replacement from cocco. Give prob of sequence coo. 1/10 What is prob of sequence cbnm when four letters picked without replacement from {o: 1, q: 1, c: 2, n: 1, m: 1, b: 1}? 1/420 Calculate prob of sequence vwv when three letters picked without replacement from avvvvaaavaalwvn. 1/91 What is prob of sequence mpp when three letters picked without replacement from {a: 1, u: 1, p: 4, r: 8, m: 3}? 3/340 Calculate prob of sequence ss when two letters picked without replacement from dssnrrsjddi. 3/55 Calculate prob of sequence uru when three letters picked without replacement from {r: 7, u: 7}. 7/52 Four letters picked without replacement from {r: 4, y: 3}. What is prob of sequence yrrr? 3/35 Calculate prob of sequence yq when two letters picked without replacement from qykkkkkykqkyykkq. 1/20 What is prob of sequence hbq when three letters picked without replacement from {h: 7, n: 4, q: 1, b: 1}? 7/1716 Calculate prob of sequence mm when two letters picked without replacement from omxxxxxmo. 1/36 Calculate prob of sequence ff when two letters picked without replacement from {p: 1, f: 5, q: 1, y: 2, z: 3}. 5/33 Three letters picked without replacement from {h: 6, z: 12}. Give prob of sequence zhz. 11/68 Two letters picked without replacement from {w: 1, z: 2, l: 2, y: 2, t: 1, u: 1}. What is prob of sequence tu? 1/72 Two letters picked without replacement from vskkpvespevseespkep. What is prob of sequence vk? 1/38 Two letters picked without replacement from jpjjjp. What is prob of sequence pj? 4/15 Two letters picked without replacement from kvvth. Give prob of sequence kt. 1/20 Four letters picked without replacement from ruufruu. Give prob of sequence rufr. 1/105 Calculate prob of sequence pow when three letters picked without replacement from {w: 1, s: 1, j: 1, p: 2, g: 1, o: 1}. 1/105 Two letters picked without replacement from taaeebe. What is prob of sequence te? 1/14 Two letters picked without replacement from {k: 4, f: 2, l: 6, x: 1}. What is prob of sequence xf? 1/78 Calculate prob of sequence za when two letters picked without replacement from hzohoozaaaoohhhzho. 1/34 Two letters picked without replacement from {d: 4, a: 2, s: 2}. Give prob of sequence sd. 1/7 Calculate prob of sequence xp when two letters picked without replacement from {h: 3, m: 2, u: 1, x: 2, p: 4}. 2/33 Two letters picked without replacement from {o: 1, n: 1, q: 2, g: 1, f: 2}. What is prob of sequence oq? 1/21 Four letters picked without replacement from {f: 5, w: 3, d: 3}. What is prob of sequence ffff? 1/66 Four letters picked without replacement from {p: 5, y: 7, m: 4, q: 1, d: 2, b: 1}. Give prob of sequence ppmy. 14/2907 Two letters picked without replacement from {j: 1, v: 1, d: 4, g: 1, z: 1}. Give prob of sequence vz. 1/56 Calculate prob of sequence iw when two letters picked without replacement from vmwiwviwqvqw. 2/33 Calculate prob of sequence ecuu when four letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
Solve -3*j + 4*r - 15 = 0, -8*r = j - 13*r + 16 for j. -1 Solve -4*d + 4*s = -4, -21*s + 2 = 6*d - 23*s for d. 0 Solve -v + g + 10 = 0, 3*v + 194 - 196 = -g for v. 3 Solve 0 = 2*s + 351*h - 356*h - 13, 0 = 3*s - h for s. -1 Solve 75*i - 3*v - 33 = 73*i, -116 = -4*i - 4*v for i. 24 Solve -1743 = -3*m + n - 1730, 4*m - 22 = -n for m. 5 Solve -4*t + 3 = s, -158*s + 159*s - 3 = 7*t for s. 3 Solve 0 = -5*i + 2*u + 4, -u + 5 = 19*i - 18*i for i. 2 Solve 3*z - 4*x + 39 = 0, -3*z - 544*x = -549*x + 42 for z. -9 Solve 7*m - 20 = 3*m, -2*a - 3*a + 5*m - 10 = 0 for a. 3 Solve -172 = 3*p - 181, -2 = -8*d + 2*p for d. 1 Solve 3*f + 38*j - 41*j = -3, -3*f - 3*j + 9 = 0 for f. 1 Solve 4*s - 6*j + 4*j = s, -4*s = 5*j for s. 0 Solve -b = 3*r - 3, -8*b - 2360 = -2*r - 2410 for b. 6 Solve 47*y - 52*y = 2*w - 5, 7 = -2*y + w for y. -1 Solve -35 = -d - 3*w, -978*w + 979*w = -2*d + 5 for d. -4 Solve -4*s = 4*v + 32, -4*v + 3*s + 153 = 185 for v. -8 Solve 4*g = -32*b + 28*b + 20, 5*b - 7 = 4*g for b. 3 Solve 3*t = 13*y + 41, -3 = -25*t + 22*t - 6*y for t. 5 Solve 5866*t + 10 = 5868*t + m, 14 = 2*t + 3*m for t. 4 Solve -4*m + 29 = 3*q + 73, -3*m - 16 = -2*q for q. -4 Solve -3*l - 45 = 3*t, 7*t = 6*t - 3*l - 43 for t. -1 Solve -3*u + 2766*v + 5 = 2771*v, -3 = 5*u - 3*v for u. 0 Solve -36*f + 2*r + 201 = 265, 2*f - 4*r = 12 for f. -2 Solve -2*s = 88*y - 87*y + 19, 0 = 3*s - 3*y + 24 for s. -9 Solve 739 = -2*q + 5*g + 703, -5*q + 58 = 6*g for q. 2 Solve 278*r - 279*r = 3*y - 7*y - 4, 0 = y - 8*r - 123 for y. -5 Solve -20 = f - 5*b, -4*f + 61*b - 62*b = -25 for f. 5 Solve 0 = -c + 2*s, -2*c - 57*s = -59*s for c. 0 Solve 0 = -w - 5*m - 12, 25*w + 3*m = 27*w - 2 for w. -2 Solve -3*u - 3*r = 9, 0 = -14*r + 121 - 107 for u. -4 Solve t + 3*b = 0, -8*b - 9*b - 23 = -t + 3*b for t. 3 Solve 0 = -3*t - 10*w - 54, -3*t + 10*w + 5 + 61 = 0 for t. 2 Solve 3*i - 749*m + 752*m + 18 = 0, -3*m = 4*i + 20 for i. -2 Solve -248*f - 2*r = -243*f + 2, 0 = 2*f - 2*r - 2 for f. 0 Solve 738*c - 740*c = -3*n + 16, 14*n - 86 = -2*c for n. 6 Solve -6 = -2*i, -4*d - 1172*i = -1167*i - 7 for d. -2 Solve 38 = 60329*u - 60326*u + 4*m, 0 = u - 3*m + 9 for u. 6 Solve -2*i = -3*i + 5*k - 6377 + 6380, 2*i - k = -3 for i. -2 Solve 2*s = k - 9, -34*k = -36*k + 3*s + 12 for k. -3 Solve d + 10*z = 7*z - 34, z = -12 for d. 2 Solve -k + 3 = -2*k, 0 = -2*u - k + 5 for u. 4 Solve 4*z - 3*f - 29 = 0, -7089*z + f + 3 = -7089*z for z. 5 Solve 3*y + 2*a - a + 14 = 0, 540*a - 539*a = y - 2 for y. -3 Solve 0 = 2*b - 7*g + 8, 78*b - 22 = 74*b - 5*g for b. 3 Solve -2*u - 15 = -6*t + t - 4*u, -2*u + 13 = 3*t for t. 1 Solve 1090*j - 31 = 1094*j - 3*w, j = 5*w - 29 for j. -4 Solve -f - 584*z = -586*z - 4, 8 = 2*f - 2*z for f. 4 Solve 211 - 220 = -2*v - j, -2*v - 5 = -j for v. 1 Solve -6*k + 8*k - 8 = 4*k, -5*n = 3*k + 37 for n. -5 Solve -261*k - 20 = -259*k - h, 4*k + h + 40 = 0 for k. -10 Solve 0 = -3*u - 3, 5*d + 0 = u + 6 for d. 1 Solve -2*v + 11 = -l, -l + 36*v + 89 = 54*v for l. -1 Solve 4*k = -3*z - 6, z = 3*z - 6*k + 30 for z. -6 Solve 0 = 220*h - 225*h + 40, 0 = 2*c + 2*h - 14 for c. -1 Solve 15 = -24*m + 29*m - h, -3*m + 2*h = -9 for m. 3 Solve 0 = -3*a, -5*a = t - 24 + 11 for t. 13 Solve 6*w - 7*w = 5*d - 55, -4*w = -3*d + 10 for w. 5 Solve 3*q - 5*u - 49 = 0, -5*q - 298*u = -300*u - 50 for q. 8 Solve 34*v + 15 = 39*v - 2*l, -4*v - 2*l = -12 for v. 3 Solve 150927*j - 150932*j = -3*p + 18, 2*p + 13 = -5*j for j. -3 Solve 0 = -g - 14*f + 26*f - 39, -4*g + 16 = -5*f for g. 9 Solve -16 = 2*n - 2*b, 2*n = b + 23 - 34 for n. -3 Solve 5*l - 25 = 0, 12 = 4*t + 52*l - 48*l for t. -2 Solve -4*m + 5 = 5*z, -34224 = 3*z - 2*m - 34205 for z. -3 Solve 0 = 2*z - 3*g - 2, -22*z - 3*g = -z - 19*z + 10 for z. -2 Solve -2*k + 22 = -4*z, 23*z - 24*z - 16 = -4*k for z. -4 Solve l - 8*y - 30 = 0, 2*l + 3*y = -705 + 689 for l. -2 Solve -190*z + 196*z - 29 = 5*x, -4*z = 2*x - 14 for z. 4 Solve r = 2007*g - 2009*g - 12, -2*r - 2*g = 22 for r. -10 Solve -324*f + 322*f = 3*l - 6, -l = -7*f - 25 for f. -3 Solve 10 = 3*f + 5*k, 876*f = 875*f - 0*k - k for f. -5 Solve 0 = -4*l - 8*s - 16 + 20, -2*s - 27 = 5*l for l. -7 Solve 0 = -5*a - 4*c + 10, -c = -23 + 28 for a. 6 Solve 33*v - 7 = 32*v, -4*j - 4*v = -16 for j. -3 Solve 4*y + 3*h = 27, 0 = -5*h + 25 for y. 3 Solve 3*d + 5*x = 3, 5*d + 32 = 24*x - 20*x for d. -4 Solve 2*r - 191 + 163 = 4*x, 4*r - 21 = x for x. -5 Solve 11*r + 3*g + 16 = 6*r, -3*r = 3*g + 6 for r. -5 Solve 0 = -4*a - 3*v - 22, a - 3*v + 472 = 474 for a. -4 Solve -3 = 3*n + 3*u + 9, -12 = -4*n + 3*u for n. 0 Solve -6*o = 3*p - 21, -2*o + 4*p + 12 = 20 for o. 2 Solve -43*y = 2*h - 45*y - 2, -1 = -h + 4*y for h. 1 Solve -45*f + 9 = -47*f + v, 4*f + 2*v + 6 = 0 for f. -3 Solve -180*o + 174*o + 3*m + 18 = 0, -5*m - 16 = -3*o for o. 2 Solve 5*i - 70 = -20*t, 23*t - 28*t = -3*i - 26 for t. 4 Solve 4*c = 3*q + 48, 11*c - 5*q = 23 + 57 for c. 0 Solve 2*u - 8 = -2*p, 18*p - 20 = 15*u - 20*u for p. 0 Solve h - 51 = -5*i, 31*h - 1 = 30*h for i. 10 Solve -u = -2*x + 397 - 420, 4*x + 37 = -u for u. 3 Solve 2*c - 3*x - 22 = 7*c + 63, -15 = 3*x for c. -14 Solve -4*i - 16 = 4*m, 35 = 20937*i - 20942*i - 2*m for i. -9 Solve 5*h - 7*l + 19 = 23, -6 = -2*l for h. 5 Solve 3*p + 24 = -2*b, -25*b - 22*b = -68*b + 23*b for p. -8 Solve 28*f + 3*i - 140 = 0, -3*f + 15 = 5*i - 10*i for f. 5 Solve -j + 2*z = 23763 - 23761, 5*j + 2 = 2*z for j. 0 Solve a = c + 3, -4*c - 13*a + 9*a + 52 = 0 for c. 5 Solve -102*v = -4*r - 97*v, 2*r - 2*v = -2 for r. -5 Solve o - 1 = -2*u, -99*u = -103*u + 2*o + 22 for u. 3 Solve -2*j + 50 = 3*n - 10*j + 6*j, 3*n - 26 = -4*j for n. 14 Solve -2*r + 6*o - 20 = 2*o, -2*r - o = 5 for r. -4 Solve -3*b + 3*h = -18, 5*b = -229*h + 224*h + 20 for b. 5 Solve -3*d + 1552*g - 1553*g = 8, -4*d - 4*g = 0 for d. -4 Solve -1 = b - w, -w = 12*b - 15*b + 5 for b. 3 Solve 0 = -3*j - 5*u + 13, -2*j - u - 2 + 13 = 0 for j. 6 Solve 3*s + 4*u + 3 = 0, -16317*s - 3 = -16321*s - 3*u for s. 3 Solve 3*o = -4*u + 283 - 306, -17 = 3*o + u for o. -5 Solve d + 531 - 525 = 4*v, 5*d + 74 = -2*v for v. -2 Solve -11 = 3*d - 108*z + 107*z, 3*d + 3*z = -3 for d. -3 Solve -693*c + 690*c = 3*h + 18, 4*c = 3*h - 10 for h. -2 Solve -6492 = f - 3*h - 6484, f = 5*h - 14 for f. 1 Solve -184*s + 138*s - 2*g + 98 = 0, -4*s = -2*g - 2 for s. 2 Solve 2*l - m - 622 + 618 = 0, -8 = m for l. -2 Solve 8*q - y = -4, 2*q + 1552*y - 20 = 1547*y for q. 0 Solve -4*d - 14 = 5*p, 0 = 15*d - 10*d - 2*p + 1 for d. -1 Solve 487*l - 17*a + 7 = 482*l, l - 5*a = -3 for l. 2 Solve -4*h = 5*i + 17, -16*i - 2*h + 24 = -20*i for i. -5 Solve -3*r + 1 = 5*z, 3*r + 10*z - 13 = 8*z for r. 7 Solve 0 = 608*c - 613*c + 4*o - 9, 5*o = -c - 25 for c. -5 Solve -y - 5 = -2*x, -14*y + 13 = 9*x - 9*y for x. 2 Solve 148*n + 3*p - 74 = 152*n, -190 = 9*n + 5*p for n. -20 Solve -4*j + 3*c + 40 = 0, -158*c + 90 = -2*j - 162*c for j. -5 Solve 112 = 2*m - 6*m - 24*u, 4*u + 28 = -3*m for m. -4 Solve 3*g + 1 = l, 5*l - 20 = 4*g - 4 for l. 4 Solve 2*c = m - 4, 9 = 33*c - 34*c + 4*m for c. -1 Solve 3*g = -5*p - 16, -1902*p + 1903*p - g + 8 = 0 for p. -5 Solve 17*r = -34*o + 32*o + 24, 3*o = -4*r - 7 for o. -5 Solve 0 = 3*y, 3*x + 4*y - y + 35 = 32 for x. -1 Solve 2*x = 3*s + 6*x - 4, -x = -4 for s. -4 Solve c - 7 = -4*o + 8*o, -6*c + o - 27 = 0 for c. -5 Solve 0 = -5*h - 29*a - 120, -4*a - 244 = -224 for h. 5 Solve -4*c + h = -11, 39*c - 44*c = -5*h - 10 for c. 3 Solve 3*l - 4*b = -168 + 130, -3*b = l + 30 for l. -18 Solve -3*s = u - 5, -23 = -3*u + 277*s - 278*s for u. 8 Solve -2*g - 4 = 4*w, 3424*w - 3427*w = 5*g - 11 for g. 4 Solve -3*y = -2*q - 3, q - 262 = -5*y - 270 for y. -1 Solve 2*t + 6166 = -3*p + 6169, 0 = -4*t - p + 11 for t. 3 Solve -c = o - 2, -2*c + 6 = -0*c + o for c. 4 Solve -3*r - 4*o + 17 - 45 = 0, r - 20 = 6*o for r. -4 Solve 4*g + 4*s + 8 = 0, 3*g + 340 = 4*s + 320 for g. -4 Solve -8*v - 16 = 14*a - 12*a, 0 = 5*a + 3*v + 23 for a. -4 Solve -50*g - 3*y - 8 = -52*g, -g - 3*y = 14 for g. -2 Solve -4*r = -w - 3, -59*r - 105 = -56*r + 9*w for r. -2 Solve -236*s + 231*s - 3*k - 32 = 0, -3*k = -s + 8 for s. -4 Solve 2*m = -204*q + 199*q - 3, -131 = 3*m + 6*m - q for m. -14 Solve 453*s - 3*w = 449*s - 22, 3*w = s + 10 for s. -4 Solve z + 18 = -25*s, -z - s - 15 = -3*z for z. 7 Solve -y = 9*t + y
{ "pile_set_name": "DM Mathematics" }
picked without replacement from rrcrrcrrrrrrrrrrcrcr. What is prob of picking 4 r? 364/969 What is prob of picking 3 t when three letters picked without replacement from {t: 8, m: 2}? 7/15 What is prob of picking 2 h and 1 q when three letters picked without replacement from vvdbhqrhq? 1/42 Four letters picked without replacement from nhnnhnnh. Give prob of picking 2 n and 2 h. 3/7 Four letters picked without replacement from {x: 3, h: 2, m: 3}. Give prob of picking 2 x, 1 h, and 1 m. 9/35 What is prob of picking 1 m and 1 r when two letters picked without replacement from rtrtrmrrttmt? 5/33 Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {h: 6, v: 2, l: 4}. 3/55 What is prob of picking 2 x and 2 d when four letters picked without replacement from xxddddxdxxxdx? 63/143 Two letters picked without replacement from rrrrrcrccrrcrrcr. Give prob of picking 1 c and 1 r. 11/24 What is prob of picking 2 u when two letters picked without replacement from nnmaunnunuhnnaanahn? 1/57 Four letters picked without replacement from jnjnnjjnjjnjjjjjjn. Give prob of picking 3 j and 1 n. 22/51 What is prob of picking 2 r and 1 p when three letters picked without replacement from {r: 12, p: 3, w: 3}? 33/136 What is prob of picking 1 d and 1 u when two letters picked without replacement from zzzupdgz? 1/28 Three letters picked without replacement from {l: 1, g: 1, w: 2, u: 1}. What is prob of picking 1 l and 2 w? 1/10 Three letters picked without replacement from mbyvvvmvvvmybvmbv. What is prob of picking 3 v? 7/85 What is prob of picking 2 l when two letters picked without replacement from hhjhljlhhhjlhhhl? 1/20 Two letters picked without replacement from {t: 2, s: 1, b: 1, y: 2, x: 2, m: 1}. Give prob of picking 1 t and 1 s. 1/18 Three letters picked without replacement from eenewewwewseesee. Give prob of picking 2 w and 1 n. 3/280 Three letters picked without replacement from {y: 11, k: 3}. What is prob of picking 3 y? 165/364 Four letters picked without replacement from {t: 1, a: 4, m: 2, e: 8}. What is prob of picking 4 e? 2/39 Three letters picked without replacement from ffqffqfffff. What is prob of picking 3 f? 28/55 Two letters picked without replacement from yueejeyjuuujeeu. What is prob of picking 1 u and 1 e? 5/21 Two letters picked without replacement from hvvqhq. What is prob of picking 2 h? 1/15 What is prob of picking 2 y and 2 a when four letters picked without replacement from {a: 4, i: 2, y: 2, t: 4}? 2/165 What is prob of picking 2 b and 1 v when three letters picked without replacement from vvvbvvvbvvvv? 1/22 Two letters picked without replacement from {z: 7, t: 4, u: 3, g: 1, k: 3}. Give prob of picking 1 g and 1 t. 4/153 Two letters picked without replacement from {u: 2, n: 8}. What is prob of picking 1 n and 1 u? 16/45 Three letters picked without replacement from {c: 2, b: 9, u: 3, e: 3}. What is prob of picking 1 e, 1 c, and 1 b? 27/340 What is prob of picking 1 v and 2 r when three letters picked without replacement from hhrhrrvvrrrxv? 45/286 Calculate prob of picking 2 k and 1 q when three letters picked without replacement from kiyiiqdqkiqqyi. 1/91 What is prob of picking 3 x when three letters picked without replacement from {q: 12, x: 7}? 35/969 What is prob of picking 2 z when two letters picked without replacement from {a: 3, z: 2}? 1/10 Calculate prob of picking 3 c when three letters picked without replacement from eyayhcjjjcyccjc. 2/91 Three letters picked without replacement from {v: 3, j: 2, e: 6, i: 2}. Give prob of picking 2 j and 1 i. 1/143 Three letters picked without replacement from {k: 7, u: 5}. Give prob of picking 3 u. 1/22 Two letters picked without replacement from dddddddddudrrdr. What is prob of picking 1 d and 1 r? 11/35 What is prob of picking 1 d and 2 n when three letters picked without replacement from naddnndnnnnnnadn? 9/28 What is prob of picking 2 p, 1 c, and 1 s when four letters picked without replacement from clpsp? 1/5 Two letters picked without replacement from qhqoqohhhohhh. Give prob of picking 1 o and 1 h. 7/26 What is prob of picking 1 h and 1 s when two letters picked without replacement from {s: 4, h: 10, c: 2, i: 4}? 4/19 Calculate prob of picking 3 s when three letters picked without replacement from {v: 1, s: 3, u: 5}. 1/84 Three letters picked without replacement from zzzzziizizzzzizizz. What is prob of picking 2 z and 1 i? 65/136 What is prob of picking 1 g and 1 d when two letters picked without replacement from idyiigsysgdii? 2/39 Three letters picked without replacement from aqzzaqaazaaa. What is prob of picking 1 q, 1 z, and 1 a? 21/110 What is prob of picking 2 d and 1 w when three letters picked without replacement from {d: 3, w: 8}? 8/55 What is prob of picking 1 s, 2 q, and 1 e when four letters picked without replacement from {s: 7, d: 3, q: 2, r: 1, e: 6}? 7/646 Four letters picked without replacement from {x: 3, a: 1, s: 5}. What is prob of picking 4 s? 5/126 What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 3, i: 1, u: 3, p: 1, v: 3}? 9/55 Two letters picked without replacement from gdsgdrgrdbgmdr. Give prob of picking 1 b and 1 d. 4/91 Four letters picked without replacement from {w: 8, v: 4, j: 2, t: 2}. What is prob of picking 1 j, 1 t, and 2 w? 4/65 Four letters picked without replacement from {j: 1, a: 7, e: 1, p: 2, m: 4, w: 4}. What is prob of picking 2 p, 1 a, and 1 w? 7/969 Three letters picked without replacement from {b: 3, e: 1, l: 7, i: 1, j: 1}. Give prob of picking 1 j, 1 l, and 1 e. 7/286 What is prob of picking 1 i, 1 r, and 1 y when three letters picked without replacement from {e: 1, i: 1, y: 4, r: 2, h: 1}? 2/21 What is prob of picking 1 h and 2 c when three letters picked without replacement from hhccchchcccchhcchhhc? 33/76 Three letters picked without replacement from {d: 4, l: 7}. What is prob of picking 3 l? 7/33 Three letters picked without replacement from bekbkbknesssnssnsk. Give prob of picking 1 k, 1 n, and 1 e. 1/34 Calculate prob of picking 2 i when two letters picked without replacement from {i: 11, k: 1}. 5/6 Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 3, h: 4, f: 1, i: 2, q: 2, t: 2}. 6/91 Two letters picked without replacement from {z: 10, v: 2}. What is prob of picking 2 v? 1/66 Calculate prob of picking 2 v and 1 m when three letters picked without replacement from {m: 6, l: 3, v: 2, p: 4}. 6/455 What is prob of picking 1 l, 1 m, and 1 i when three letters picked without replacement from {y: 3, i: 2, o: 2, g: 1, m: 10, l: 2}? 2/57 Three letters picked without replacement from {v: 4, k: 5, i: 1, p: 5, t: 5}. What is prob of picking 2 v and 1 i? 1/190 Three letters picked without replacement from {s: 2, z: 1, g: 4, u: 4, v: 9}. What is prob of picking 1 u, 1 g, and 1 s? 8/285 Two letters picked without replacement from {s: 3, z: 11, v: 1}. Give prob of picking 1 z and 1 v. 11/105 Four letters picked without replacement from xdmmh. Give prob of picking 1 h, 1 m, 1 d, and 1 x. 2/5 Two letters picked without replacement from zuuuuuz. Give prob of picking 2 z. 1/21 What is prob of picking 2 k when two letters picked without replacement from kiikk? 3/10 What is prob of picking 1 s, 1 t, 1 l, and 1 k when four letters picked without replacement from osktooolllkookg? 3/455 Two letters picked without replacement from {t: 1, s: 3, q: 4, a: 1, y: 5}. What is prob of picking 1 t and 1 s? 3/91 Four letters picked without replacement from {n: 4}. Give prob of picking 4 n. 1 What is prob of picking 2 g and 1 n when three letters picked without replacement from nxgnngngnnngnnnng? 11/68 What is prob of picking 4 l when four letters picked without replacement from {d: 1, l: 7}? 1/2 Four letters picked without replacement from esdedesssssdds. What is prob of picking 2 d and 2 e? 18/1001 Two letters picked without replacement from {q: 2, a: 8, u: 2, z: 1}. What is prob of picking 1 z and 1 q? 1/39 What is prob of picking 2 z when two letters picked without replacement from {f: 4, z: 7}? 21/55 Calculate prob of picking 1 j, 1 t, and 1 w when three letters picked without replacement from {j: 4, w: 3, r: 4, o: 5, t: 3}. 12/323 Two letters
{ "pile_set_name": "DM Mathematics" }
Let y(h) = 4*h**3 + 3*h**2 - 5*h - 7. Give 7*n(q) - 4*y(q). -2*q**3 + 2*q**2 - q Let l(x) be the third derivative of 0 + x**2 - 2/3*x**3 + 0*x - 7/24*x**4. Let f(w) = 4*w + 2. Determine 11*f(s) + 6*l(s). 2*s - 2 Let k(f) = 3*f + 11. Let q(x) be the first derivative of x**2/2 + 4*x + 1. Let t(m) = m + 13. Let c be t(-13). Let y = c - 6. Calculate y*k(w) + 17*q(w). -w + 2 Let w(m) = -5*m + 2. Let i(k) be the third derivative of 11*k**4/24 - 2*k**3/3 - 2*k**2 - 4*k. What is 6*i(p) + 13*w(p)? p + 2 Let l(x) = 17*x + 11. Let z(c) = 8*c + 5. Determine 6*l(k) - 13*z(k). -2*k + 1 Let b(m) = -7*m - 3*m + 0*m + 4 + 3*m. Let s(f) = -6*f + 3. What is -5*b(c) + 6*s(c)? -c - 2 Let k(q) = 2*q**2 - q. Let r be k(-1). Suppose 0 = -2*u + 5*c + 23, 4*u + 2*c - r = 7. Let l(w) = -u + 3 + 0 - w. Let d(n) = n. Determine -3*d(s) - 2*l(s). -s + 2 Let g(z) = 12*z**2. Let m(s) = s**2. Let l = -2 + -7. Determine l*m(d) + g(d). 3*d**2 Let t(u) = 4*u**2 + 3*u - 5. Suppose -2*b = -0*b. Suppose b = -4*y + 19 + 1. Let v(m) = -5*m**2 - 4*m + 6. Calculate y*v(p) + 6*t(p). -p**2 - 2*p Let z(n) = 22*n - 4. Let w(y) = -1 - 6 + 5 + 3 - 7*y. What is -16*w(k) - 5*z(k)? 2*k + 4 Let s(m) = 226*m**3 + 5*m - 5. Let j(i) = -20453*i**3 - 452*i + 452. What is -5*j(r) - 452*s(r)? 113*r**3 Let b(a) = a**2 - a + 1. Let f(t) = -30*t**2 + 24*t - 24. Give 24*b(k) + f(k). -6*k**2 Let b(y) = y**2 + 2*y. Let c(a) = 3*a**2 + 9*a + 1. Let i(t) = 9*b(t) - 2*c(t). Let g(u) = -16*u**2 + 11. What is 4*g(q) + 22*i(q)? 2*q**2 Let h(d) = 6*d**2 + 62*d + 7. Let q(v) = 2*v**2 + 21*v + 2. Determine -2*h(k) + 7*q(k). 2*k**2 + 23*k Let r(q) = -q**3 + q**2 - q. Let h(a) = -4*a**3 + 3*a**2 - 3*a. Suppose 0 = -3*c + 10 + 5. Calculate c*h(n) - 15*r(n). -5*n**3 Let v(o) = -7*o**3 + 5*o**2 + 5*o. Let k = -11 + 17. Let l(t) = 4*t**3 - 3*t**2 - 3*t. Determine k*v(r) + 10*l(r). -2*r**3 Let y(x) = x**2 + x. Let o = 36 + -42. Let r(s) = 5*s**2 + 6*s + 1. Determine o*y(i) + r(i). -i**2 + 1 Let y(w) = -w - 2. Let p be y(-6). Suppose p = -4*j - k, -j - 2*k - 2 = j. Let d be -4*(-2)/(8/6). Let n(o) = o + 4. Let x(c) = 1. Determine d*x(f) + j*n(f). -f + 2 Let q(w) = -22*w**3 - 3. Let v(x) = -11*x**3 - 2. Let k(f) = -4*q(f) + 7*v(f). Let h(a) = 17*a**3 - 3. Determine -5*h(s) + 8*k(s). 3*s**3 - 1 Let c(s) = 6*s**2 - 3*s + 3. Let z(q) = -5*q**2 + 2*q - 2. What is -2*c(g) - 3*z(g)? 3*g**2 Let q(u) = u. Let k(j) = -4*j + 3. What is -k(s) - 2*q(s)? 2*s - 3 Let h(i) = -2*i**2 + 8*i - 1. Let s(y) = y. What is -h(j) + 6*s(j)? 2*j**2 - 2*j + 1 Let d(m) = 7*m**2 - 2*m + 2. Let c(o) = 70*o**2 - 21*o + 21. What is 2*c(w) - 21*d(w)? -7*w**2 Let b(n) = -n + 2*n - 33 + 34. Let p(o) = -o - 5. What is 4*b(d) + p(d)? 3*d - 1 Let y(b) = b**2 + b + 4. Let w(r) = 2*r**2 + 2*r + 4. What is 2*w(p) - 3*y(p)? p**2 + p - 4 Let l(q) = 3*q - 10. Let c(d) = -3*d + 10. Calculate 5*c(z) + 6*l(z). 3*z - 10 Let i(b) = 2*b - 10. Let q be i(-3). Let j(k) = 6*k**3 - 16. Let o(y) be the third derivative of y**6/120 - y**3/2 + y**2. Calculate q*o(g) + 3*j(g). 2*g**3 Let j(v) = -4*v + 3. Let b(r) = 3*r - 3. What is 3*b(g) + 2*j(g)? g - 3 Let z(g) = 9*g - 6. Suppose -3*t = -6*t + 18. Let v(p) = -5*p + 8. Let w(u) = 11*u - 15. Let q(i) = 5*v(i) + 3*w(i). Give t*z(f) - 7*q(f). -2*f - 1 Let r(f) = -1. Let q(y) = y + 22. Give -q(d) - 3*r(d). -d - 19 Let d(m) = m**2 + 7*m - 7. Let f be (11 - -3)/(1 - 0). Let j be ((-30)/(-35))/((-2)/f). Let k(c) = c**2 + 6*c - 6. Calculate j*d(w) + 7*k(w). w**2 Let q(u) = 2*u**2 - 3*u - 4. Let h(g) be the first derivative of -g**3/3 + g**2/2 + g + 53. Give 3*h(d) + q(d). -d**2 - 1 Let z(v) = v - 3. Let o(y) = -y**2 - y. Let k be 7/2 - 6/4. Give k*o(j) + z(j). -2*j**2 - j - 3 Let p = -28 + 31. Let n(c) = 5*c - 5. Let d(a) = -2*a + 2. What is p*n(f) + 8*d(f)? -f + 1 Let m(g) = -3*g**2 - 8*g + 6. Let r(u) = -4*u**2 - 9*u + 7. What is 6*m(s) - 5*r(s)? 2*s**2 - 3*s + 1 Let s(j) = 2*j - 1. Let c(p) = p**3 - 20*p**2 - 21*p - 2. Let t be c(21). Let v be ((-12)/16)/(2/8). Let d(a) = -a. Give t*s(w) + v*d(w). -w + 2 Let f(g) = 10*g + 3. Let v(j) = -30*j - 9. Give -11*f(r) - 4*v(r). 10*r + 3 Let i be -1 + 2 + -1 - 2. Let t(x) = -2*x**3 + 5*x**2 - 2*x - 5. Let b(f) = 2 + 0*f - 2*f**3 + 3*f**3 + 4*f - 3*f - 2*f**2. Calculate i*t(q) - 5*b(q). -q**3 - q Let y(w) = 48*w**3 - 33*w**2 - 33*w. Let q(o) = 2*o**2 + 6*o**2 + 2*o - 3*o**3 - 6*o**2. What is 33*q(x) + 2*y(x)? -3*x**3 Suppose -24*c = -7*c - 306. Let r(h) = h**2 - h - 1. Let j(u) = -8*u**2 + 9*u + 9. What is c*r(d) + 2*j(d)? 2*d**2 Let d(x) = x. Let s(y) = -1. Calculate -3*d(a) - 2*s(a). -3*a + 2 Let r(s) = -13*s. Let c(i) = 416*i. Determine -2*c(m) - 65*r(m). 13*m Let m(v) = v**2 + 1. Let h be (-21)/14*(-8)/6. Let y(s) = 2. Calculate h*m(q) - y(q). 2*q**2 Let a(f) = 10*f**3 + 11*f**2 - f. Let k(p) = -p**3 - p**2. Suppose 4*n + n = 210. Let j = -64 + n. Calculate j*k(z) - 2*a(z). 2*z**3 + 2*z Let l(m) = -5*m - 3. Let x(k) = -6*k - 3. Calculate -3*l(f) + 2*x(f). 3*f + 3 Let j(g) = g + 1 - 3*g + 0*g. Let b(a) be the second derivative of a**3/6 - a**2/2 + 80*a. What is -5*b(y) - 3*j(y)? y + 2 Let d(j) = -5*j**3 - 5*j**2 + 5*j - 5. Let s(y) = 2*y**3 + 3*y**2 - 3*y + 3. What is 3*d(v) + 5*s(v)? -5*v**3 Let g(s) = 4*s**3 - 9*s**2 + 3*s + 5. Let n(x) = -5*x**3 + 8*x**2 - 4*x - 6. Calculate -4*g(b) - 3*n(b). -b**3 + 12*b**2 - 2 Let u(j) be the second derivative of -j**3/3 - j**2 + j. Let a be ((-15)/9)/((-1)/(-3)). Let h(g) = g + 1. Calculate a*h(n) - 2*u(n). -n - 1 Let h(f) = 9*f**2 - 17*f + 9. Let w(b) = 2*b**2 - 4*b + 2. Calculate -6*h(c) + 26*w(c). -2*c**2 - 2*c - 2 Let u(i) = 7*i + 2. Let q(z) = 29*z + 20. Let d(j) = 10*j + 7. Let h(p) = 17*d(p) - 6*q(p). Calculate -5*h(t) - 3*u(t). -t - 1 Let f(s) = -2*s + 3. Let q(r) = 22*r - 17*r - 1 - 4. What is 5*f(z) + 3*q(z)? 5*z Let q(g) be the second derivative of g**3/6 - g. Let o(a) = 2*a**2 + 2*a - 1. Suppose -24 = -0*h + 8*h. What is h*q(j) + o(j)? 2*j**2 - j - 1 Let d(i) = 2. Let a(c) = 3. Let s(x) = 5*a(x) - 8*d(x). Let j(n) = -n + 6. What is j(q) + 6*s(q)? -q Let p(v) = -v - 4. Let u(s) = 5. What is -4*p(m) - 3*u(m)? 4*m + 1 Let j(m) = 16*m**2 - 41. Let f(u) = 3*u**2 - 8. Calculate -11*f(g) + 2*j(g). -g**2 + 6 Let v(f) = f**3 + f - 1. Let i be (0 - 3)/(-1) - 1. Let k(p) = -3*p**3 - 2*p + 2. Give i*k(w) + 4*v(w). -2*w**3 Let h(u) = -73*u + 73*u - 5 + 2*u**3. Let i(b) = 9*b**3 - 21. Calculate 21*h(j) - 5*i(j). -3*j**3 Let c(u) = -21*u**3 + 3*u**2 + 3*u + 3. Let f(x) = 62*x**3 - 8*x**2 - 8*x - 8. What is -8*c(h) - 3*f(h)? -18*h**3 Let n be (-4)/(-2)*7/(-2). Let q(b) = 7*b + 9 + 6*b**3 - 25*b**2 - 13*b**3 - 2*b + 25*b**2. Let a(x) = -10*x**3 + 7*x + 13. Determine n*q(o) + 5*a(o). -o**3 + 2 Let b(y) be the third derivative of y**5/15 - y**2. Let r(x) = -5226 + 2*x**2 + 5226. Calculate 3*b(p) - 5*r(p). 2*p**2 Let k(a) = -2*a**2 - a + 5. Let x(u) = -323*u + 325*u + 3*u**2 + 1 - 7. Determine 4*k(t) + 3*x(t). t**2 + 2*t + 2 Let j(c) = -c**3 - c**2 - c + 1. Let b(y) = -2 + 6*y**3 + 346*y**2 - 341*y**2 - 3 + 5*y. What is b(u) + 5*j(u)? u**3 Let z(k) = 114*k. Let x(q) = -23*q. Calculate -28*x(h) - 6*z(h). -40*h Let a(l) = l**2 + l + 1. Let j(h) be the first derivative of 0*h + 1/2*h**2 + 4/3*h**3 - 1. Calculate -2*a(c) + j(c). 2*c**2 - c - 2 Let v(c) = -3*c - 17. Let t(j) = -8*j - 50. Calculate -4*t(y) + 11*v(y). -y + 13 Let v(c) = -4*c**2 + 3*c + 6. Let i(u) = -u**2 + u + 1. Suppose 0*w + 3*w - 18 = 0. What is w*i(p) - v(p)? -2*p**2 + 3*p Let u(f) be the second derivative of 5*f**3/6 + 7*f**2/2 + 8*f. Let o(p) = -4*p - 6. What is 6*o(b) + 5*u(b)? b - 1 Let w(u) = 6*u**2 - 4. Let x(k) = 13*k**2 + k - 9. Calculate 5*w(a) - 2*x(a). 4*a**2 - 2*a - 2 Let s(l) = l - 1. Let q(x) = -12*x**3 - 20*x + 16. What is -q(d) - 20*s(d)? 12*d**3 + 4 Let d(k) = 2*k**2 + 4. Let v = -5 + 0. Let z(i) = -i**2 - 3*i**2 - 1 + 2*i**2 - 2. Suppose -12 = 5*q + 8. Give q*d(u) + v*z(u). 2*u**2 - 1 Let r(a) = 7*a + 4. Let d(v) = -1. Determine -4*d(h) - r(h). -7*h Let t(i) = -3*i**3 + 2*i**2 + 3*i + 4. Let w(y) = -y**3 + y + 1. Suppose 2*d = -8 + 20. Let g be (8/d)/((-1)/3). Give g*w(l) + t(l). l**3 + 2*l**2 - l Suppose n + 4 = -n. Let c(u) = -2*u - 2. Let i(s) = 2*s**2 - s - 1. Let t be i(-1). Let j(r) = 3 + 0 - t. Calculate n*j(y) - c(y). 2*y Suppose 4*b - 4 = 6*b. Let v(i) = 2*i**2 - 1.
{ "pile_set_name": "DM Mathematics" }
-156 Let p(z) = 73751*z + 1917535. Give p(-26). 9 Let a(l) = -15*l**3 - 671*l**2 - 477*l + 371. What is a(-44)? 63 Let b(t) = 162*t**2 + 2408*t - 337. Determine b(-15). -7 Let y(f) = f**3 + 32*f**2 + 3*f - 106. Calculate y(-30). 1604 Let q(f) = 55*f - 1913. What is q(33)? -98 Let y(t) = t**3 - 29*t**2 - 136*t + 953. Determine y(33). 821 Let x(j) = 8*j**3 + 19*j**2 - 1068*j + 802. Determine x(10). 22 Let m(j) = -12*j**3 + j**2 + 27*j - 30. Give m(1). -14 Let t(x) = -7402*x + 414524. Calculate t(56). 12 Let n(w) = -2703*w + 834927. Determine n(309). -300 Let t(v) = 3372*v - 10171. Calculate t(3). -55 Let d(q) = -10*q**2 - 10*q - 37. Give d(-4). -157 Let s(l) = -322*l - 2155. Determine s(-5). -545 Let l(b) = -2*b**3 + 34*b**2 - 1154*b + 18150. What is l(16)? 198 Let d(p) = -p**2 - 3114*p + 12487. What is d(4)? 15 Let b(k) = 3*k**3 - 29*k**2 + 176*k - 1950. What is b(10)? -90 Let j(z) = -7*z**3 - 95*z**2 - 135*z - 2. Determine j(-12). 34 Let l(w) = 2167627*w + 19508640. Determine l(-9). -3 Let c(y) = -y**3 - 164*y**2 + 13. Calculate c(-164). 13 Let n(c) = 7*c**2 - 291*c + 2877. Calculate n(16). 13 Let b(i) = 4*i**3 - 4*i**2 - 123*i + 692. What is b(6)? 674 Let w(l) = -l**3 - 71*l**2 + 70*l - 383. What is w(-72)? -239 Let h(w) = 45*w**3 - 308*w**2 - 6*w - 263. Give h(7). 38 Let x(m) = -465*m + 19164. Calculate x(35). 2889 Let l(k) = 5*k**2 + 2792*k + 51233. Determine l(-19). -10 Let c(u) = -2*u**3 + 771*u**2 - 9318*u - 2618. Calculate c(373). -7 Let i(x) = 5288*x + 31685. What is i(-6)? -43 Let h(g) = -3*g**3 + 114*g**2 + 1137*g - 43265. What is h(38)? -59 Let m(w) = 135504*w + 23442195. Determine m(-173). 3 Let s(b) = 123*b + 1222. What is s(-7)? 361 Let f(t) = -2*t**3 + 33*t**2 + 334*t - 124. What is f(22)? 1900 Let p(v) = 80*v**2 - 11121*v - 228. Give p(139). -367 Let s(f) = -256*f + 170. Calculate s(-4). 1194 Let a(y) = 105*y + 3711. Determine a(-39). -384 Let c(d) = d**3 - 7*d**2 - 1270*d + 11264. Give c(9). -4 Let r(n) = -112319*n + 1347893. Determine r(12). 65 Let b(t) = -t**2 - 136*t + 7161. What is b(-176)? 121 Let r(b) = -5*b**2 + 975*b - 11828. Determine r(13). 2 Let d(g) = -55672*g - 9. Calculate d(0). -9 Let l(p) = -3*p**2 + 67*p - 297. What is l(22)? -275 Let m(w) = 23*w**3 - 97*w**2 + w + 22. Give m(3). -227 Let i(f) = 10*f**3 + 217*f**2 + 111*f - 131. Give i(-21). 625 Let i(w) = -1699*w**3 + 8*w**2 + 5*w. Give i(-1). 1702 Let v(n) = 8*n**2 + 34*n + 50. Calculate v(-9). 392 Let g(v) = -142*v - 14372. Give g(-105). 538 Let c(d) = -10*d + 1947. Calculate c(67). 1277 Let d(m) = 7686*m - 15405. What is d(2)? -33 Let u(w) = 24*w**3 + 804*w**2 + 3210*w + 6. Calculate u(-4). -1506 Let g(q) = q**2 - 664*q - 8117. Give g(-12). -5 Let z(n) = -n**3 - 63*n**2 - 606*n + 5604. Determine z(-48). 132 Let q(s) = -5583*s + 647623. What is q(116)? -5 Let j(b) = -2*b**2 + 194*b - 3333. Calculate j(0). -3333 Let h(r) = 90*r**3 - 8*r**2 - 10*r + 3. What is h(2)? 671 Let q(x) = -x**3 + 92*x**2 + 296*x - 1166. Calculate q(95). -121 Let c(d) = d**2 - 1353*d + 136756. What is c(110)? 26 Let l(k) = 27*k**2 + 861*k - 12894. Calculate l(-43). 6 Let m(s) = s**3 + 29*s**2 + 147*s + 4325. What is m(-29)? 62 Let w(k) = -10711*k + 2227898. Calculate w(208). 10 Let k(w) = -6*w**3 + 18*w**2 - 67987*w + 67970. Calculate k(1). -5 Let m(l) = 18*l**2 - 114*l - 15872. What is m(33)? -32 Let y(c) = -1959*c + 64679. Determine y(33). 32 Let x(w) = -245*w**2 + 4654*w + 9. Give x(19). -10 Let q(t) = -116*t - 4402. What is q(-38)? 6 Let n(x) = -240*x + 4245. What is n(18)? -75 Let j(k) = 240*k - 13428. Determine j(56). 12 Let c(q) = -226*q**2 + 75709*q + 433. What is c(335)? 98 Let d(r) = 2*r**2 - 18486*r - 798610. Give d(-43). -14 Let o(c) = c**2 + 17833*c + 53495. What is o(-3)? 5 Let w(u) = -2*u**3 - 2*u**2 + 1708*u + 8713. What is w(-5)? 373 Let a(q) = -887*q**2 - 7051*q + 363. Give a(-8). 3 Let a(d) = 2*d**2 - 1094*d - 43222. Give a(584). -6 Let y(x) = 5090*x - 610857. Give y(120). -57 Let p(h) = h**3 - 4*h**2 - 26934*h + 161530. Give p(6). -2 Let t(b) = -2392*b - 4334. Calculate t(-2). 450 Let a(u) = 37*u - 546. Determine a(-10). -916 Let o(m) = -101500*m - 202830. What is o(-2)? 170 Let k(u) = -u**2 - 10775*u - 75391. Calculate k(-7). -15 Let n(x) = -83312*x - 2. Calculate n(0). -2 Let r(f) = -18178*f + 6162338. Calculate r(339). -4 Let a(j) = -1959*j**2 - 29418*j - 516. Give a(-15). -21 Let f(i) = -25*i**2 + 171*i + 661. What is f(-4)? -423 Let c(h) = 6146*h - 135249. What is c(22)? -37 Let j(w) = -20*w**3 + 145*w**2 - 16*w + 69. What is j(7)? 202 Let x(s) = 4*s**3 - 31*s**2 + 12*s + 79. Determine x(10). 1099 Let t(w) = -w**3 - w**2 + 26126*w + 104464. Calculate t(-4). 8 Let x(h) = 3670*h - 36568. Calculate x(10). 132 Let i(c) = -111*c**2 + 9*c - 2251. Calculate i(0). -2251 Let p(s) = -2086*s - 47774. What is p(-23)? 204 Let z(p) = p**3 + 9*p**2 - 67*p - 278. Calculate z(-4). 70 Let b(q) = q**3 - 137*q**2 - 14*q + 1954. What is b(137)? 36 Let h(v) = -2*v**2 - 93*v + 6833. Calculate h(40). -87 Let j(m) = 975*m + 10049. Calculate j(-11). -676 Let b(j) = 4320*j + 85997. Determine b(-20). -403 Let j(o) = -43*o**2 - 440*o + 78. Determine j(-10). 178 Let y(p) = 18*p**2 + 1033*p + 332. Give y(-57). -67 Let u(l) = -11*l**3 + 38*l**2 + 491*l + 135. Give u(-5). 5 Let c(v) = v**3 + 382*v**2 - 104*v - 39733. Calculate c(-382). -5 Let m(f) = -2*f**3 + 102*f**2 - 846*f - 1361. Give m(40). -1 Let u(p) = -2*p**3 - 168*p**2 + 177*p - 26. Give u(-85). -621 Let b(a) = -86*a**2 - 3497*a - 2278. Give b(-40). 2 Let t(q) = 77464*q - 1394352. Determine t(18). 0 Let j(x) = 12*x**3 - 6*x**2 + 157*x + 327. Give j(-2). -107 Let t(a) = -3284*a - 3756804. Determine t(-1144). 92 Let i(x) = -627*x - 285900. Determine i(-456). 12 Let y(d) = 338*d + 28794. Give y(-85). 64 Let i(l) = 1416*l - 16785. Calculate i(12). 207 Let i(h) = -5*h**2 - 349*h - 4454. Give i(-53). -2 Let s(t) = -12*t**2 - 113*t + 101. Calculate s(-14). -669 Let x(b) = b**3 + 28*b**2 + 493*b + 12602. Determine x(-27). 20 Let s(n) = -62*n - 14323. Determine s(-231). -1 Let v(c) = 2*c**3 - 10294*c**2 - 185945*c - 73. What is v(-18)? 17 Let n(w) = 7540*w - 113055. What is n(15)? 45 Let v(g) = -3*g**3 - 8*g**2 - 61*g + 192. Calculate v(3). -144 Let y(a) = -18955*a - 246401. Give y(-13). 14 Let b(i) = 858*i + 2778. Calculate b(-10). -5802 Let g(d) = -6*d**2 - 543*d - 3369. What is g(-6)? -327 Let w(v) = 2692*v + 26922. Calculate w(-10). 2 Let b(l) = -l**3 - 106*l**2 + 220*l + 29. What is b(-108)? -403 Let v(r) = 1931*r - 117662. Determine v(61). 129 Let w(f) = f**3 - 38*f**2 + 165*f - 236. Give w(33). -236 Let w(c) = 1221*c - 30521. Give w(25). 4 Let b(t) = 602*t + 6069. Calculate b(-9). 651 Let r(y) = 408*y**2 + 5306*y - 18. Determine r(-13). -44 Let j(i) = -178*i + 11199. Calculate j(63). -15 Let r(j) = 338*j + 48355. Determine r(-145). -655 Let o(c) = -5*c**3 + 1063*c**2 - 636*c + 31. Calculate o(212). 31 Let m(v) = 1006*v**2 + 12061*v - 100. Calculate m(-12). 32 Let t(y) = -76*y**2 + 18378*y - 14920. Determine t(241). 22 Let y(f) = -f**3 + 247*f**2 + 741*f + 2154. What is y(250)? -96 Let a(o) = -4803*o + 18038. Give a(3). 3629 Let l(k) = -9*k**2 - 157*k + 787. What is l(-21)? 115 Let f(h) = 64067*h - 11019525. Calculate f(172). -1 Let b(x) = -600*x**2 - 4272*x. Calculate b(-7). 504 Let u(m) = -19502*m - 214753. Give u(-11). -231 Let d(o) = -21*o**2 - 3216*o + 3236. Give d(1). -1 Let d(v) = -v**3 + v**2 - 5326*v - 32206. Give d(-6). 2 Let v(x) = 20*x - 148. Give v(-16). -468 Let t(h) = -217*h**3 + 33*h**2 - 16*h - 19. Calculate t(1). -219 Let y(b) = -872*b + 21445. Determine y(25). -355 Let r(o) = 4*o + 93. Determine r(-22). 5 Let c(b) = 1683*b**2 + 1621*b - 48. Give c(-1). 14 Let v(t) = -t**3 + 68*t**2 - 112*t - 936. Calculate v(66). 384 Let q(d) = 12*d**2 - 129*d - 1558. Give q(-14). 2600 Let m(s) = -3*s**3 + s - 91. Calculate m(8). -1619 Let c(b) = -b**2 - 15197*b + 167282. Determine c(11). -6 Let h(y) = -15*y + 95. Calculate h(17). -160 Let u(o) = 1142*o - 7983. What is u(7)? 11 Let a(b) = 38*b**2 + 2068*b - 8266. Calculate a(4). 614 Let n(r) = -11*r**2 - 6774*r - 19011. What is n(-613)? -8 Let x(g) = -g**3 + 3*g**2 + 125*g - 82. What is x(-7)? -467 Let n(r) = r**3 + 203*r**2 - 1652*r - 170565. Calculate n(-207). 3 Let y(q) = -19
{ "pile_set_name": "DM Mathematics" }
z = 4*o + g. Let b(t) = -13*t + 1 + 13*t + t**3 - t**2. Give b(z). 5 Let t = 877/375 - 2/375. Let z(h) be the first derivative of -t*h**3 + 5 - 3*h**2 - h - 1/4*h**4. Give z(-6). -1 Let r = 58 + -61. Let t(v) be the second derivative of v**2 + 2/3*v**3 - v + 0 - 1/6*v**4 - 1/20*v**5. What is t(r)? -1 Let a(r) = -3*r**2 - 2*r + 4. Let h(z) = 4*z**2 + 3*z - 5. Let g(l) = -7*a(l) - 5*h(l). Give g(-3). 9 Suppose 8*s + 20 = -2*s. Let z(y) = -2*y - 3. What is z(s)? 1 Let s(k) be the second derivative of 0 - 3/5*k**5 + 9*k + 0*k**2 + 1/12*k**4 - 1/6*k**3. Calculate s(1). -12 Let s(t) = -t + 8. Let p(i) = i - 9. Let j be (-90)/(-15)*1/1. Let r(h) = j*s(h) + 5*p(h). Let d be 0/(6 + 0 - 3). Calculate r(d). 3 Let n(z) be the second derivative of -z**3/6 - 11*z**2/2 + 3*z + 5. What is n(-9)? -2 Let u(x) = x. Suppose 7 + 4 = -2*g - t, 0 = -3*t + 15. Let l = g + 10. Suppose -39 = 4*c - 5*f - 0*f, 0 = l*c - 2*f + 18. Give u(c). -6 Let n be (2/6)/(4/36). Let i = 6 + -7. Let s = i - n. Let r(b) = -2*b + 1. What is r(s)? 9 Suppose -19 = -14*l + 9. Let y(t) = -16*t + t - 2 + 10*t - t**3 - 2*t**l + 7*t. Determine y(-3). 1 Let k(t) = 2 + 0*t + 0*t**2 + t**2 + 2*t. Let r(n) = -6*n**2 + 14*n + 10. Let a be r(3). Give k(a). 2 Let k(c) = -5*c**2 + 3. Let y(r) = 9*r**2 + r - 6. Let h(t) = 11*k(t) + 6*y(t). Let o(l) = l**3 + 8*l**2 + 8*l + 14. Let v be o(-7). What is h(v)? -10 Let f(t) = -t - 4. Let k be f(0). Let a(r) = -r**2 + r + 11. Let q(h) = 2*h**2 - 3*h - 17. Let n(c) = a(c) + q(c). Calculate n(k). 18 Let a(c) = -c**2 - 2*c + 6. Let b(u) = 2*u**2 - 4*u - 21. Let h be b(5). Suppose -h*i + 6*i = 18. Give a(i). -18 Let u(f) = -7*f**3 - 6*f**2 - f + 1. Let s(n) = 8*n**3 + 7*n**2 + n. Let p(z) = -6*s(z) - 7*u(z). Calculate p(0). -7 Suppose -3*a - l = -9, 16 = 4*a + l + 4. Let i(t) = t**2 - 2*t - 4. What is i(a)? -1 Let j(y) = -2*y - 20. Let o be j(-8). Let w(x) = 2*x - x**3 - 2 - 3*x**2 + 2 - 2*x**2 + 3. Determine w(o). -21 Let j be 3/(1 - 4)*-3. Suppose 4*i = 3*i, 5*i + 9 = j*m. Let n(g) = g**3 - 5*g**2 + 4*g - 4. Give n(m). -10 Let c(s) be the third derivative of -s**5/60 + 3*s**4/4 - 7*s**3/3 - 148*s**2. Determine c(18). -14 Let a(x) be the third derivative of -x**5/60 - 5*x**4/24 + 11*x**3/3 - 11*x**2 - 10. What is a(-8)? -2 Let a(d) = d**2 + 4*d - 5. Let s(q) = -15 - 6 + 17*q + 5*q**2 + 0. Let w(n) = 9*a(n) - 2*s(n). Suppose -3*u = 9, 3*l - 6*l - 5*u - 6 = 0. Determine w(l). -6 Let y(q) = 3*q + 3. Let n = -6 - -3. Suppose 2*h = -4*k, h + 7 = 3*k - 3. Let z be (n - -4)/((-1)/k). What is y(z)? -3 Let a(h) be the first derivative of -h**4/4 + 3*h**3 - 6*h - 126. Determine a(9). -6 Let j(p) = 25*p**2 + 4*p + 5. Let w(g) = g**2 + g + 3. Let z(a) = j(a) - 2*w(a). Suppose 2 - 9 = -7*f. Calculate z(f). 24 Let p(q) be the first derivative of q**6/120 + q**5/12 + q**4/6 + q**3/6 - 9*q**2 - 18. Let w(o) be the second derivative of p(o). What is w(-4)? 1 Let l(v) = 2*v - 7. Suppose 3*o = 6 + 3. Suppose o*c - 15 = 6*c. Let a be 10/8*(-1 - c). Give l(a). 3 Let u(b) = b**3 + 6*b**2 - 5*b + 10. Suppose -85 = -2*j + 5*o, -4*o + 125 = 4*j + o. Suppose -4*y - y = j. Let n be u(y). Let r(m) = -4*m - 6. Give r(n). 10 Let l(u) = -6*u + 7. Let j be l(2). Let p(y) = -4*y - 1. Let k be p(-1). Let a(q) = 1 - 5 - 2 - k*q. Calculate a(j). 9 Let d(b) = b**3 - b**2 + b + 4. Suppose -g = -2*f, 4*g = 7*g + 5*f. What is d(g)? 4 Let b(a) = -a**3 - 5*a**2 - 2*a + 1. Let z be b(-5). Let t = 225 + -160. Let k be (-1 + z)*26/t. Let n(p) = -2*p**2 + 6*p - 1. Determine n(k). -9 Let v(q) = -q**2 - 2. Let y(r) = r**3 - 4*r**2 - r - 1. Let k be y(4). What is v(k)? -27 Suppose -p - 122*d + 117*d = -17, 4*p = d + 47. Let h(u) = -5*u + 54. Calculate h(p). -6 Let w(v) be the third derivative of -v**5/60 + 5*v**4/24 + 7*v**3/6 + 96*v**2 + 4. Calculate w(5). 7 Let d(r) be the second derivative of r**4/2 + r**3/2 + r**2/2 + r - 5. Determine d(-2). 19 Suppose 3*p - 3*c - 21 = 0, -2*p - 2*c + 4 = 2*p. Let b(z) be the second derivative of -2*z - 1/20*z**5 - 1/2*z**2 + 0 + 1/4*z**4 - 1/3*z**3. Calculate b(p). -7 Suppose -69*v = -68*v - 1. Let f(w) = 2*w - 1. Give f(v). 1 Let u(n) be the third derivative of n**5/20 + n**3/2 + 189*n**2. What is u(2)? 15 Let q(r) be the first derivative of 0*r**3 + 0*r + 7/120*r**6 + 0*r**5 + 2 - 3*r**2 + 0*r**4. Let l(z) be the second derivative of q(z). Calculate l(1). 7 Let x(m) = 2*m + 5. Suppose 0 = -3*a - 2*a - 20. Let s be x(a). Let u be 16/12*s/(-2). Let k(g) = -2*g**3 + g**2 + 2*g - 3. Calculate k(u). -11 Suppose -4 = -4*o - 4*n, 4*o - 3*o + 8 = 2*n. Let x(m) = m**3. Calculate x(o). -8 Suppose -1 = 3*j - 7. Let d(y) = 0*y**j + 2*y - 27*y**3 - 2*y**2 - 3*y**2 + 28*y**3 + 2. Give d(2). -6 Let p = 2 + 3. Let f = -11 + p. Let c = f - 0. Let w(k) = 2*k + 8. Calculate w(c). -4 Let y be 0/(1 + 2) + 3. Suppose 0 = -3*n + 5*f - 2*f, -y*f - 24 = 5*n. Let a(p) = 2*p - 2*p - 4 - p. Determine a(n). -1 Let p(s) = 2*s + 2 - 2*s**2 + 3*s**2 - s. Let i be p(0). Let r(k) = -k**2 + k**2 - 3*k + 0*k**2 - k**i + 1. What is r(-6)? -17 Let g(f) = -f**3 + 8*f**2 - 8*f + 11. Let x be g(7). Let p be -21*(x/12)/1. Let h(w) = -w**3 - 6*w**2 + 7*w - 2. Determine h(p). -2 Suppose -7 - 5 = -4*m. Suppose -12 = 4*l - j, m*l - 2*j + j = -8. Let n(d) = -d**2 - 2*d + 3. Calculate n(l). -5 Suppose -t - d - 2*d - 1 = 0, -6 = -4*t - 2*d. Let m(g) be the third derivative of g**2 + 0*g + 1/12*g**4 + 0 + 1/3*g**3. Determine m(t). 6 Suppose 2*t + 0*t = 4*n + 18, 0 = -5*n + t - 24. Let m(x) = x**3 + 6*x - 6*x + 5*x**2 + x + 5 + 2*x. Give m(n). -10 Let w(k) be the third derivative of -k**4/6 + 3*k**3/2 + 10*k**2 - 3. Give w(-8). 41 Let p = 46 - 37. Let x(n) = 3 + n - 2*n + 10 - p. Let z(a) = -a. Let f be z(-6). Calculate x(f). -2 Let h(r) = 34*r**3 - r**2 - 2*r - 1. Suppose 2*f - 3*j + 14 = 0, -4*f + 2*j - 8 = 4. Calculate h(f). -34 Suppose -3*m + 0*m = 4*w - 28, -3*w = -2*m + 13. Let b(t) be the first derivative of t**3/3 - 5*t**2/2 - 8*t + 19. Determine b(m). 16 Suppose 4*w = -2*b + 19 - 9, -2*b + 10 = w. Let m(l) = -l**3 + 8*l**2 - 5*l + 4. Calculate m(b). 54 Let g(d) = -d - 6. Let z = 12 + -12. Let u(i) = -i**3 + i**2 + 2*i - 7. Let o be u(z). Give g(o). 1 Let d(y) be the first derivative of y**5/60 + y**4/4 + 5*y**3/6 + 3*y**2/2 + 11. Let q(u) be the second derivative of d(u). Determine q(-7). 12 Let i(q) = 11*q - 37. Suppose 0 = 6*x + 33*x - 117. Give i(x). -4 Let h(t) be the second derivative of -t**4/12 - t**3/2 - t**2 - 492*t. Suppose 5*p - 5*a - 2 = -17, 3*p + 9 = -2*a. Determine h(p). -2 Let t be (-2)/3 - 147/63. Let y(r) = -r**2 - 10*r - 4. Let o(p) = p**2 + 11*p + 4. Let b(c) = t*o(c) - 4*y(c). Give b(-6). -2 Let r(j) = -j**2 + 5*j + 28. Suppose -87*d + 567 = -216. Calculate r(d). -8 Let a be 44/7 + 12/(-42). Suppose 5*n = 7 + 3. Let j(v) = v + 4 + n - 2. Give j(a). 10 Let r(o) = o - 2. Suppose 4*z - z = 582. Let m be (-10)/(-55) - z/(-22). What is r(m)? 7 Let v(g) be the third derivative of -g**5/60 + 5*g**4/6 - 9*g**3/2 - 47*g**2 + 2*g. What is v(18)? 9 Suppose -21 = -r - 6*r. Let x(w) = 2*w - 2*w - 3*w**2 + r*w + w**2. Determine x(2). -2 Let m be -3*((-68)/48 - 1/4). Suppose -c = -m*b + 29, 3*c - 17 = c - 5*b. Let g(q) = -q - 5. Determine g(c). -1 Let u be (-160)/26 + (-2)/(-13). Let c(z) = z**3 + z**2 - 10*z - 6. Let y(n) = -2*n**3 - 3*n**2 + 19*n + 12. Let t(o) = 7*c(o) + 4*y(o). Give t(u). 6 Let s(h) = -2*h - 12. Let d be s(-8). Let n(i) = -2*i - 21 + 22 - d*i**2 + 2*i**2. Calculate n(-2). -3 Let j = 9 - 5. Let b be 3/4*(-16)/j. Let u(o) = -o + 39*o**2 + 2*o - 38*o**2. Calculate u(b). 6 Let k(c) = -c**3 + 8*c + 3. Let l be k(-3). Let b(a) = -a**3 + 7*a**2 + 3. Let m be b(7). Let t(v) = 4*v**2 + 1 - 3*v**2 + l*v**2 + 2*v + m*v**2. Give t(-1). 9 Let k = 9 - 13. Let q be 112/21 - k/6. Let p(h) = h - 6. Let i be p(q). Let g(b) = b + 6. Determine g(i). 6 Let g = 21 - 18. Let h(i) = 45*i**3 - 5*i + 2*i**2 - 20*i**3 - 24*i**3 - g. What is h(-3)? 3 Let z(i) = -7*i**2 - i + 2. Suppose -140*n + 8 = -132*n. Determine z(n). -6 Suppose 2*x - 5*x + 8 = -5*v, -v + 8 = x. Let w(n) = n. Let s be w(x). Let q(l) = -7*l + 0*l + 5*l**2 + 0*l - l**3 + s + 2*l. Determine q(4). 2 Let k = 107 + -101. Let y(a) = -a**3 + a + 3*a**2 + 25 + 3*a**2 - 29. Determine y(k). 2 Let q(y) = 2*y + 3. Let j(o) = 4*o + 7. Let n be (-2)/4
{ "pile_set_name": "DM Mathematics" }
Suppose -5*l + t = -l. Calculate the smallest common multiple of 1 and l. 6 Let j be (-9 + 0)*-1 - -3. Suppose -j - 9 = -3*d. Calculate the least common multiple of d and 11. 77 Let o be (268/(-5))/((-5)/(-5)). Let f = -2269/40 - o. What is the common denominator of 4/2 - 49/(-5) and f? 40 Let v be 6/(-9) - 2/(-3). Suppose 0 = 3*m - 31 - 35. What is the smallest common multiple of m and v + 2/(-2) + 13? 132 Let u = -163/2 + 72. What is the common denominator of 1/20 and u? 20 Let o(k) = -14*k. Calculate the lowest common multiple of 2 and o(-1). 14 Let d = -369/248 - 74/31. What is the common denominator of d and -19/10? 40 Suppose 0 = 3*n - 4*w - 12, 0 = -5*n - 3*w - 8 + 57. What is the smallest common multiple of n and 8? 8 Suppose -w = 3*f + 1057 - 146, 5*f + 1509 = -4*w. Find the common denominator of f/(-90)*(2 + -3) and 13/10. 90 Suppose -3*l = -9 - 9. Let i = 88 + -8. Suppose -2*v - 3*v = -i. Calculate the least common multiple of l and v. 48 Let f be (-2)/(-4) - 35/(-10). Suppose 14 = 5*l - f*l. What is the lowest common multiple of 2 and l? 14 Suppose 4 = -5*x + 9. Suppose 1 = 4*h - 19. Suppose -3*f + 55 = 2*f - h*t, 5*t = 4*f - 45. What is the least common multiple of f and x? 10 Let a(y) = -9*y - 6. Let j be a(-9). Let g = -10 + 6. Calculate the common denominator of j/(-9)*(-3)/g and 49/12. 12 Suppose -401 = -4*n + 167. Find the common denominator of (n/(-4))/(18/(-4)) and -43/5. 45 Calculate the smallest common multiple of 23/3 + (-4)/6 and 1. 7 Suppose -n + 4 - 1 = 0. Find the common denominator of -3 + n*(-60)/32 and -17/18. 72 What is the lowest common multiple of ((-4)/(-14))/(2/49) and 94/14 - 4/(-14)? 7 Suppose -427 - 377 = -2*y. Let z = 1816/9 + -17179/90. What is the common denominator of z and (y/36)/((-2)/3)? 20 What is the least common multiple of 7 + -6 + 2 + 6 and 2*(3/2)/3? 9 Suppose p - 3*v = 13, -p = 2*p + 4*v. Suppose 4*c - f - 17 - 3 = 0, -34 = -3*c - p*f. Calculate the smallest common multiple of -1*(7*3)/(-3) and c. 42 What is the common denominator of (-20)/(-16)*142*3/(-15) and -93/4? 4 Let u(g) = -g**2 - g + 10. Suppose -5*d + 4*d + 12 = 0. Let z = 19 - d. What is the least common multiple of z and u(0)? 70 Let r = 0 + 6. Let m(v) = -2*v - 2. Calculate the lowest common multiple of m(-5) and 25 - (-2)/(-4)*r. 88 Suppose 0 = -7*g + 4*g + 30. Let r(l) = l**3 - 3*l**2 - 4*l + 5. Calculate the lowest common multiple of r(4) and g. 10 Let b be ((-171)/(-4))/((-105)/(-13190)). Let s = -5373 + b. Find the common denominator of 61/8 and s. 56 Suppose -j - 56 = 19. Let d = 11393/4 - 2834. What is the common denominator of d and j/(-14) + -2 + -1? 28 Suppose -2*w = 3*x + 4 - 25, 57 = 4*w + 3*x. What is the smallest common multiple of 10 and w? 90 Let t = 23 - 14. Suppose t = -z + 3*c, 0*z = 3*z + 3*c - 21. Find the common denominator of -3/8 and (-12)/7*10/z. 56 What is the least common multiple of 1 + (-6)/(-3) - -9 and 2? 12 Let t = 44 + -24. Suppose -6*u + u = -70. What is the least common multiple of u and t? 140 Calculate the common denominator of 83/4 and (-825)/658 + (-10)/(-35). 188 Suppose 3*d + j - 19 = 2*d, -2*j = -10. Let y = 21 - d. What is the least common multiple of (-3)/15 - 62/(-10) and y? 42 Let d = 7 + -4. Let x(h) = h + 11. Let k be x(-11). Suppose -o + 6 = -k*o. Calculate the least common multiple of d and o. 6 Let a = 6/295 - 21053/5310. Calculate the common denominator of a and 143/18. 18 What is the common denominator of 148/(-112)*1 - 0 and 91/6? 84 Let s(i) = i**2 + 2*i + 3. Let q be s(-2). Calculate the common denominator of -20/11 and 3 + (6/7 - q). 77 Let u = -30 + 90. What is the least common multiple of (u/(-3))/(-2) - -1 and 4? 44 Let x be 4 + -1 + 3 + -1. Suppose -4*f - 40 = -x*g, -g - 5*f - 11 - 10 = 0. Calculate the least common multiple of g and 3. 12 Let l = -9 + 21. Calculate the lowest common multiple of l and 12. 12 Let a be (-6)/(((-1)/(-1))/(-1)). Suppose -a - 2 = -i. What is the lowest common multiple of i and (-1 - 0 - -9) + 3? 88 Suppose z - 4*w = 8 + 84, 0 = -2*z - 3*w + 228. Let o = z + -767/7. Calculate the common denominator of 6/5 + -1 - 108/(-35) and o. 7 Calculate the lowest common multiple of 6 and (-15*2/(-7))/(6/42). 30 Suppose -v + 4*r = 10, -4*v + 3*r + 20 = 2*r. What is the least common multiple of -7*1*(-18)/21 and v? 6 Let z = -73/20 - -122/5. Calculate the common denominator of z and (-127)/(-6) - (-3 - -2). 12 What is the lowest common multiple of (-2)/((-7)/((-105)/2)*-1) and 6? 30 Let m be -2*1/7369 - 0. Let b = -39764999592094243/88428 + 449687877042. Let q = m + b. Find the common denominator of q and 69/14. 84 Find the common denominator of 248/220 + 2/(-5) and (-1)/((-11)/(-4)) - 4. 11 Suppose 0 = 8*k + 4 - 76. Calculate the lowest common multiple of 1 and k. 9 What is the common denominator of (6 - 5) + (-42)/27 and 22/21? 63 Let c = 12 - 7. Let f(v) = -5*v + 4. Find the common denominator of 57/5 and f(c). 5 Suppose 0*u + u = 40. Suppose -u - 40 = -5*i. Calculate the least common multiple of i and (0 - 0) + 12 + 6. 144 Let y = 686 + -1541. Calculate the common denominator of 33/10 and (-2)/(-4) - y/36. 20 What is the common denominator of (3 + 62/(-16))*102/(-14) and 91/6? 24 Let t be 47024/72*(-66)/8. Let z = -5368 - t. Find the common denominator of z and (2/((-20)/71))/1. 30 Suppose 4*a = z + 6, 0*a + 2*a = -z. Let v be 1*3059 - (1 - z). Let h = v - 36701/12. What is the common denominator of 57/2 and h? 12 Let i = -8661/2420 - 57/121. Calculate the common denominator of ((-15)/(-7))/(16/14) and i. 40 Let t be (4 - -3982)*1/(-2). Let q = t + 3782. Let o = q - 7213/4. Find the common denominator of -76/9 and o. 36 Suppose 0 = -5*h - 0*h + 15. Find the common denominator of (-1)/(-4)*122/h and (12/10)/((-1242)/(-240) + -5). 42 Calculate the common denominator of 3/15*(-173)/6 and 61/21. 210 Calculate the common denominator of 9/8 and (3/30)/(-4*2/(-300)). 8 Suppose -3*i = -0*i - 6. Suppose 3*m - 8*m + 21 = 2*p, -i*p + m = -15. What is the smallest common multiple of 18 and p? 72 Let g(m) = -7*m**2 + 37*m - 7. Let a(w) = -2*w**2 + 9*w - 2. Let j(f) = -9*a(f) + 2*g(f). Calculate the common denominator of j(4) and -16/3. 3 Suppose -2*d + 4*w = -7882, 7*d - 19694 = 2*d - w. Let s = d - 886273/225. Let u = s - -1661/450. Find the common denominator of -75/8 and u. 40 Suppose 14 = 4*w - 2. Suppose -4 = w*j + 3*m, -4 + 6 = -j - m. What is the lowest common multiple of j and 2? 2 Let z be (6/4)/(6/(-8)). Let n(p) = p**3 + p**2 - 3*p - 1. Let r be n(z). Calculate the common denominator of 53/8 and (-81)/(-16) + (-1 - r). 16 Suppose -s - 8 = s, 3*s + 11 = b. Let z be 3142/112 + b + 1. Let i = 213/7 - z. Calculate the common denominator of -29/7 and i. 56 Suppose 3*t + t + 12 = 0. Let k(d) = -18*d + 1. Let i be k(t). Find the common denominator of 101/8 and i/6 + (-3)/(-1). 24 Suppose 4*i - 7 = 3*d + 16, -2*i + 15 = -5*d. Let s(c) = -c - 4. What is the lowest common multiple of s(-5) and i? 5 Let p = -3713/3 - -6171/5. Find the common denominator of p and -41/9. 45 Let u = -1 - -10. Calculate the smallest common multiple of 1 and u. 9 Let h = -35 - 119. What is the common denominator of -31/10 and h/6*6/4? 10 Let j be (9/3)/(3/1024). Find the common denominator of j/140 + (-4)/(-14) and (6/4)/(45/273). 10 Let x be (-239)/5*314337/(-33). Let p = 2285841/5 - x. Let f = -1854 + p. Calculate the common denominator of f and 29/3. 33 Suppose -3*v = 4*a + 25, -2*a + 3*a + 1 = v. Suppose -3*b + 7*b = 40. What is the smallest common multiple of b and (-2)/(v/(1 + 23))? 80 Let t = 391/10 + -367/20. What is the common denominator of t and 109/10? 20 Let z(v) = -3*v**3 - 9*v**2 - 3. What is the smallest common multiple of z(-4) and 27? 135 Let z = -1/73 - 2845/146. Let h = 18 + -353/20. What is the common denominator of h and z? 20 Let g = -2 - -9. Let l = g + -2. Let c(r) = -r**3 - 6*r**2 - 6*r + 5. Calculate the lowest common multiple of l and c(-5). 10 Let t = 148 - 113. What is the least common multiple of t and 40? 280 Suppose 335 = 3*t - 112. What is the common denominator of 6/10 + t/(-40) and 97/6? 24 Let l = 241301212/15 + -301304983019/18730. Let u = l - -6/1873. Find the common denominator of u and 103/22. 66 Suppose -3*z + 2*h + 64 = 0, 5*z + h = -2*h +
{ "pile_set_name": "DM Mathematics" }
. -3455256*p What is the derivative of -3030*q**3 + 61983? -9090*q**2 What is the second derivative of -f*j**3 + 24251*f*j - f - 31*j**4 + 40*j**3 + 2*j - 1 wrt j? -6*f*j - 372*j**2 + 240*j Differentiate -1040525*n**2 + 1852361 with respect to n. -2081050*n What is the third derivative of -165196*f**5 + 37879*f**2 - 37*f wrt f? -9911760*f**2 Differentiate -2*g*q**2 - 2235*g*q - 8*q**2 - 12*q - 15 wrt g. -2*q**2 - 2235*q What is the third derivative of -10050*q**3 + 7*q**2 - 688*q + 6? -60300 What is the first derivative of 2353*g - 39268 wrt g? 2353 What is the third derivative of -9*l**3*u**2 - 713*l**3 - 4319*l**2*u + 3*l*u**2 + 3*l wrt l? -54*u**2 - 4278 Find the second derivative of 4*d**5 + 559*d**3 + 3*d**2 + 28*d + 1075. 80*d**3 + 3354*d + 6 What is the second derivative of 2944148*p**4 - 592*p + 1390? 35329776*p**2 What is the second derivative of -522*h**5*o + 18*h**3 + 91*h*o - h + 269 wrt h? -10440*h**3*o + 108*h What is the third derivative of -103*r**5 - 22*r**4 - 2*r**3 - 3*r**2 + 436*r - 6? -6180*r**2 - 528*r - 12 Differentiate a**3 - 159*a**2 - 25*a + 8087. 3*a**2 - 318*a - 25 Find the third derivative of -325*n**2*y**3 - 2*n**2*y - 7358*n*y**2 + 145*y**3 wrt y. -1950*n**2 + 870 What is the derivative of -21808*g*i - 5*g + i - 11267 wrt i? -21808*g + 1 What is the third derivative of -3*d**4*h - 1031*d**4 - 3*d**3 + 10975*d**2*h + 2*d*h wrt d? -72*d*h - 24744*d - 18 What is the second derivative of -2*g**5 - 18*g**4 + 29114*g**2 - 2*g - 165305? -40*g**3 - 216*g**2 + 58228 What is the third derivative of 59*t**6 - 4*t**5 + 6*t**4 - 2*t**2 + 3*t - 3310? 7080*t**3 - 240*t**2 + 144*t Find the second derivative of 3980388*h**3 - 5*h - 57942. 23882328*h What is the second derivative of 855*l**5 + 10*l**3 - 2*l - 17424? 17100*l**3 + 60*l What is the second derivative of 160*b*k**2*s + 1008*b*k**2 - 7*b*k*s - 2*b*s - 21*b - 8*k*s + 1 wrt k? 320*b*s + 2016*b Find the third derivative of -38383*z**3 + 23*z**2 - 2*z + 541. -230298 What is the second derivative of 2*n**5 - n**4 + 24429*n**3 + 798592*n wrt n? 40*n**3 - 12*n**2 + 146574*n Find the second derivative of -3016*f**2*j**2 + 6*f**2*j + 3*f**2 + 45222*f*j + j**2 wrt f. -6032*j**2 + 12*j + 6 What is the third derivative of 3*f**2*k**4 + 7*f**2*k**2 + 2*f*k**6 + 40*f*k**2 + 33*f*k + 15*k**3 wrt k? 72*f**2*k + 240*f*k**3 + 90 Find the second derivative of 2*c**4*d**2 + 748*c**4*d - 134615*c*d**2 wrt c. 24*c**2*d**2 + 8976*c**2*d What is the third derivative of 4*a*b**4 - 14*a*b**3 - 8*a*b**2 - a*b - 6*b**4 + b**3 - 2*b**2 + 2289*b wrt b? 96*a*b - 84*a - 144*b + 6 What is the second derivative of -230*b**3*u**2 + 120162*b**3*u - 7*b**2*u**2 + 8*u**2 wrt u? -460*b**3 - 14*b**2 + 16 Find the second derivative of -4473353*f**3 + 3752359*f wrt f. -26840118*f What is the second derivative of -66*a*b**2*l + 4*a*b**2 - 2*a*b*l + a*l + 2*b**2*l**2 - 2*b*l**2 + 6171 wrt b? -132*a*l + 8*a + 4*l**2 Find the second derivative of 45*p*q**2*u - 5159*p*q**2 + p*q*u + 10816*q*u wrt q. 90*p*u - 10318*p Find the second derivative of -7*f**2*n**3 + 26155*f**2 - 7538*f*n**3 - 9*n**3 + n**2 wrt f. -14*n**3 + 52310 Find the second derivative of -3708*b*f**2*g**3 - 19*b*f*g**3 - 3*b*f*g**2 + 93*b*g**3 + 3*f**2*g**3 - f**2*g wrt f. -7416*b*g**3 + 6*g**3 - 2*g What is the third derivative of 813*c*p**5 - 17*c*p**4 - 9*c*p**2 + 120*c*p + 7*p**2 wrt p? 48780*c*p**2 - 408*c*p Differentiate 3977*f**3*z**2 - 2*f**2*z**3 - 75333*z**3 with respect to f. 11931*f**2*z**2 - 4*f*z**3 Find the second derivative of -22298*y**2 + 8382*y - 5. -44596 Find the second derivative of -2*c*v**3 + 10*c*v**2 - 3*c*v - 2*c - 821*v**5 + 180*v - 8 wrt v. -12*c*v + 20*c - 16420*v**3 What is the second derivative of -a**3*p**2 + 2*a**3 - 3579*a**2*p**2 - 3*a*p**2 + 2*p**2 + 43*p wrt a? -6*a*p**2 + 12*a - 7158*p**2 Find the first derivative of -43*l**2*v**2 - 2*l**2 + 355*l*v**4 + 26*l + 204 wrt v. -86*l**2*v + 1420*l*v**3 What is the first derivative of 331246*x**2 - 4*x - 1740443? 662492*x - 4 Find the first derivative of -109232*n + 37243 wrt n. -109232 Find the second derivative of -2*m**3*w**3 + 11*m**3*w**2 + 8*m**3*w - m**3 + 3*m**2*w - 21*m*w**3 - 33 wrt w. -12*m**3*w + 22*m**3 - 126*m*w What is the derivative of 20820*j*y**2 + 6502*y**2 - 2 wrt j? 20820*y**2 What is the first derivative of -35763*c + 61225 wrt c? -35763 What is the second derivative of -2590*i**2*m**3 + 2*i**2*m**2 - 22*i**2 - 2*i*m**3 - i*m**2 + i*m - 175895*i - m**3 wrt i? -5180*m**3 + 4*m**2 - 44 What is the second derivative of -214580*f**3 + f**2 - 1926347*f wrt f? -1287480*f + 2 Find the second derivative of -2*b**5 + b**4 - 181*b**3 + 73299*b. -40*b**3 + 12*b**2 - 1086*b Find the second derivative of 329*o**5 + 2*o**4 + 16015*o wrt o. 6580*o**3 + 24*o**2 Find the first derivative of 4585*m**2*z - m**2 + 61*m + 4*z - 6 wrt z. 4585*m**2 + 4 What is the third derivative of -2045787*y**3 - 13*y**2 - 39523 wrt y? -12274722 What is the third derivative of -178902*g**3 + 189*g**2 + 4*g + 17 wrt g? -1073412 What is the third derivative of 3*c**6 - 359*c**4 + 2*c**3 - c**2 + c - 5298? 360*c**3 - 8616*c + 12 Find the second derivative of 619*v**3 - 50*v**2 - 52192*v. 3714*v - 100 Find the third derivative of l**5 - 16*l**4 + 15381*l**3 - 8*l**2 + 8519*l + 11 wrt l. 60*l**2 - 384*l + 92286 What is the second derivative of 10386*l**2 + 2086*l - 14? 20772 What is the first derivative of -1547*t**4 - 2*t**2 + 97*t + 204124 wrt t? -6188*t**3 - 4*t + 97 What is the third derivative of 31011*o**4 - 4928*o**2 wrt o? 744264*o Find the third derivative of 401819*n*q**3 - 10285*n*q**2 + 4*n*q + 2*q**3 wrt q. 2410914*n + 12 Find the third derivative of 338980*m**4 + 14*m**2 + 6*m - 29. 8135520*m Find the first derivative of 891319*f**2 + 2121696 wrt f. 1782638*f Find the third derivative of 2*q**5 + 125715*q**3 + 640474*q**2 + 1 wrt q. 120*q**2 + 754290 Differentiate -25*c**2*h**2 + 2*c**2*h + 2*c**2 - 255*c + 4941*h**2 - 21 with respect to c. -50*c*h**2 + 4*c*h + 4*c - 255 What is the third derivative of 5*d*n*o**3 + d*n - 2057*d*o**3 + 328*d*o**2 - 3*d - n*o**3 + 2*n*o**2 - 6*o**3 + 9 wrt o? 30*d*n - 12342*d - 6*n - 36 What is the third derivative of -13216*p**5*w**2 - 72*p**3*w**2 - p**2*w**2 + p**2*w + 2*p**2 + 2*p*w**2 - 24548*p wrt p? -792960*p**2*w**2 - 432*w**2 What is the second derivative of 14*l**4 + 7*l**3 + 3*l**2 - 4185727*l? 168*l**2 + 42*l + 6 What is the derivative of -35*d**2 - 1430*d - 241863? -70*d - 1430 Find the second derivative of -167611*j**3*y**3 - 70682*j**3*y + j**2*y**3 - j*y wrt y. -1005666*j**3*y + 6*j**2*y Find the second derivative of -129*u**4 - 117*u**3 + 351576*u wrt u. -1548*u**2 - 702*u Find the third derivative of -16985*n**5 - 22*n**4 - 442552*n**2. -1019100*n**2 - 528*n Find the third derivative of -1606*u**6 - 283*u**4 + 874*u**2 + 470. -192720*u**3 - 6792*u Find the second derivative of -229016*k**2 + 20723*k - 4. -458032 Find the third derivative of 493317*s**3 - 144*s**2 - 3492*s. 2959902 What is the second derivative of 2870216*y**2 - 2*y + 689461 wrt y? 5740432 What is the second derivative of 99720*c**3 - 81764*c? 598320*c What is the second derivative of 628*k**2*v**2 + 8*k**2*v - 2*k**2 - k*v**2 - 85*k*v - 3*k + 3 wrt k? 1256*v**2 + 16*v - 4 Find the second derivative of -751*f**2*j**4 + 2*f**2*j + 30*f*j**4 - 1127*f - 12*j wrt j. -9012*f**2*j**2 + 360*f*j**2 Differentiate -5691685*k - 5143685 wrt k. -5691685 Find the second derivative of 734830*q**3 - 91068*q + 3. 4408980*q What is the second derivative of -272*b**5 - 2*b**2 + 14*b - 464? -5440*b**3 - 4 What is the first derivative of 155778*s + 225535 wrt s? 155778 What is the second derivative of -21228*s**3*t**3 + 2*s**3*t + 272*s**3 - 2*s*t**3 - 3*s*t + 2*t wrt t? -127368*s**3*t - 12*s*t Find the third derivative of -2138185*f**4 - 4319033*f**2 wrt f. -51316440*f What is the second derivative of 2*d**4 + 5974*d**3 - 35*d**2 + 5277*d - 92 wrt d? 24*d**2 + 35844*d - 70 Find the third derivative of 140988*a**5 + 8*a**2 + 9853*a wrt a. 8459280*a**2 Find the third derivative of 670829*m**4*p + m**2*p - 2*m**2 - 15*m*p - 20238*m + 2 wrt m. 16099896*m*p Find the second derivative of -79702*r**5 + 155*r - 808. -1594040*r**3 Find the third derivative of 296*m**3*q**3*r - 322*m*
{ "pile_set_name": "DM Mathematics" }
34*m**2*s*v - 37654*m**2*v**3 - 3*m*s*v**2 - m*v**2 + 12*s*v**3 + 18*v wrt v? -225924*m**2 + 72*s What is the second derivative of 4223*g**5 + 63458*g**2*p**2 + 2619*g + 3842*p**2 wrt g? 84460*g**3 + 126916*p**2 Find the second derivative of -16234875*f**2*o**3 - 3*f*o**2 - 15*f*o + 6*o**3 + 1589*o**2 wrt f. -32469750*o**3 What is the first derivative of 85298497*t**2 + 85827732? 170596994*t What is the second derivative of 76855028*j**3 + 2496*j + 995 wrt j? 461130168*j Differentiate 8*m**3 + 2*m**2 + 110803*m - 1318256 with respect to m. 24*m**2 + 4*m + 110803 Find the second derivative of -222989970*k**3*w**2 + 46314*k**3*w + 174*k**2*w wrt w. -445979940*k**3 What is the derivative of -2883223*a*c - 15840003*c wrt a? -2883223*c What is the second derivative of -5311767*b**2 + 1826211*b wrt b? -10623534 Differentiate -115707*s**4*z - 42*s*z + 7616830*z wrt s. -462828*s**3*z - 42*z What is the second derivative of 315331605*t**2 - 19503*t - 2552 wrt t? 630663210 Find the third derivative of -534908362*x**3 + 18*x**2 - 3368235*x. -3209450172 What is the second derivative of -52*j*w**3 - 1673*j*w - 10*j + 16*w**3 - 74*w**2 - 31 wrt w? -312*j*w + 96*w - 148 Differentiate -3*w**3 + 13036830*w - 50129848. -9*w**2 + 13036830 Find the second derivative of 39*p**5*s - 458388*p**5 + 2*p*s - 29*p + 347*s - 51 wrt p. 780*p**3*s - 9167760*p**3 What is the derivative of -27983285*b*q*s**3 - 6*b*q*s**2 - 2*q*s + q - 7*s**3 - 444*s + 156 wrt b? -27983285*q*s**3 - 6*q*s**2 What is the third derivative of -3727511*p**5 - 4*p**4 + 2*p**3 - 129*p**2 + 61591 wrt p? -223650660*p**2 - 96*p + 12 What is the second derivative of -124*v**3 - 94080*v**2 - 64033*v - 1467 wrt v? -744*v - 188160 What is the first derivative of 62*c*d**3 + c*d - 122604*c + 534*d**3 - 12287*d - 4 wrt c? 62*d**3 + d - 122604 What is the third derivative of -1228025280*a**3*y**2 + a**2*y**2 + 2*a**2 - 7*a*y**2 + a*y - 220797*y**2 wrt a? -7368151680*y**2 Find the third derivative of f**3*r**3 + 310*f**3*r**2 - 7028*f**3*r + f*r**3 - 427378*r**3 wrt r. 6*f**3 + 6*f - 2564268 What is the third derivative of 67639*g**3*o**5 + 8*g**3*o**2 + 17298*g**3*o + 2*g*o**2 + 2*g + 14*o**6 + 7*o**2 + 1 wrt o? 4058340*g**3*o**2 + 1680*o**3 Find the third derivative of 25*l**6*n - 4130849*l**4*n - 136545*l**2*n + 503*n + 1 wrt l. 3000*l**3*n - 99140376*l*n What is the derivative of 71330*b**2 - 2286*b + 440395322? 142660*b - 2286 Find the third derivative of 120929963*k**3 + 1901*k**2 + 44*k - 37 wrt k. 725579778 Find the second derivative of 70*i*q**3*x**2 - 5*i*q**3 - 44*i*x**2 + 2*i - 4010*q**3*x - 28*q**2*x**2 + 13*q**2*x wrt x. 140*i*q**3 - 88*i - 56*q**2 Find the second derivative of 20009*a*w**5 + 107*a*w**2 - 2*a*w + 43250*a + 72*w + 2 wrt w. 400180*a*w**3 + 214*a Differentiate 2*a*n**2 - 631008*a*n + 28708152*n**2 wrt a. 2*n**2 - 631008*n What is the second derivative of -3*h**3*v - 64505853*h**2*v*x - 28*h*v*x - 17*h + 117*v*x + 63*v wrt h? -18*h*v - 129011706*v*x What is the third derivative of -36467*h*y**4 - 2*h*y**3 - 2*h*y**2 + 6739*h*y - 10*y**4 - 18*y**2 - 2 wrt y? -875208*h*y - 12*h - 240*y Differentiate -14001467*t**2 + 6*t + 57892050 with respect to t. -28002934*t + 6 Find the second derivative of 8153*t**3 + 99*t**2 - 1873457*t - 215 wrt t. 48918*t + 198 What is the derivative of 563641*j*s**3*x + 3191791*j*s**3 + j*s**2*x wrt x? 563641*j*s**3 + j*s**2 Find the first derivative of -687*j**3 + 6320*j**2 + 51478194. -2061*j**2 + 12640*j What is the second derivative of -27*s**5 + 2*s**3 + 8160783*s**2 - 464801410*s? -540*s**3 + 12*s + 16321566 What is the third derivative of -425*a**4 - 1494*a**3 - 14211294*a**2? -10200*a - 8964 Find the third derivative of 17902569*j**3 - 2*j**2 + 21706*j - 26. 107415414 Find the third derivative of 5093277*m**3*u**3*x**2 - 2*m**2*u**2*x**2 - 89555*m**2*u**2*x - 8*m*u**3 wrt m. 30559662*u**3*x**2 Differentiate -4326*k**2 - 228*k - 18408578 wrt k. -8652*k - 228 What is the first derivative of -4807*u**3 + 407*u**2 + 142525496 wrt u? -14421*u**2 + 814*u Differentiate -282828*l**3*v**2 - 4*l**3*v - 2*l**3 - 61435 with respect to v. -565656*l**3*v - 4*l**3 What is the second derivative of -3*f**5 - 1004019*f**3 - 2*f**2 + 1240407*f wrt f? -60*f**3 - 6024114*f - 4 Find the first derivative of 1026173*s**2 + 6300695 wrt s. 2052346*s Find the second derivative of -p**3*u**2*y + 35529972*p**3*u - 12*p**3*y + 72252*p*u**2*y + 370*p*u**2 wrt u. -2*p**3*y + 144504*p*y + 740*p Differentiate -14203353*i**2 + 10111125 wrt i. -28406706*i What is the third derivative of -309007591*s**6 - 231*s**2 + 775734 wrt s? -37080910920*s**3 Find the second derivative of 22164*r**5 - 26*r**3 + 21*r - 217894 wrt r. 443280*r**3 - 156*r What is the second derivative of -7953767*k**4 - 21613302*k? -95445204*k**2 What is the second derivative of 4*g**2*t**2 - 4482423*g**2*t - 2*g**2 - 642*g*t**2 + 2646*t**2 - 1 wrt t? 8*g**2 - 1284*g + 5292 Find the second derivative of 14*f**2*m**3 - 809529*f**2*m + 202781763*f*m**3 + 2*m**3 wrt f. 28*m**3 - 1619058*m What is the third derivative of 39136*h**5 - h**4 - 248*h**3 - 540*h**2 + 42451*h + 2? 2348160*h**2 - 24*h - 1488 Differentiate 190976412*u**2 + 13244178 wrt u. 381952824*u Find the first derivative of 25*q**3*y**2 - 15*q**3*y*z + 3*q**3*y + 2*q**2 + 5825*q*y**2*z + 39*q*y**2 wrt z. -15*q**3*y + 5825*q*y**2 Differentiate 15214545*t**2 + 126986799. 30429090*t Find the second derivative of 29580722*t**3 - 35920201*t wrt t. 177484332*t Differentiate -20168789*p**2 - 5691851. -40337578*p What is the third derivative of 8*s**5 + 9*s**4 - 933579*s**3 - 14*s**2 - 14*s - 80278 wrt s? 480*s**2 + 216*s - 5601474 What is the first derivative of -306*v**2*w - 9019712*v**2 + 79*v*w - 25*w wrt w? -306*v**2 + 79*v - 25 Find the second derivative of -57947*k**4*x + 2*k**3*x - 4*k**2 + 1958*k*x + 43*k + 17*x wrt k. -695364*k**2*x + 12*k*x - 8 What is the third derivative of -178667*b**5 + 3*b**3 + 3088643*b**2 wrt b? -10720020*b**2 + 18 What is the second derivative of -6021581*g**3 + 47*g + 32854 wrt g? -36129486*g Find the third derivative of 148*i**4*x + 2158709*i**3*x + 47600278*i**2 - 2*i*x + 1 wrt i. 3552*i*x + 12952254*x Find the third derivative of 33226705*k**3 - 3*k**2 - 10465*k + 11 wrt k. 199360230 Find the second derivative of 45020997*l*s**3 - 3*l*s + 1496*l + 9*s - 10 wrt s. 270125982*l*s Find the first derivative of -1493241*s**2*u - 35905*u + 2 wrt s. -2986482*s*u What is the third derivative of -15571*c**3*u**4 - 324*c**3*u**3 + 2*c**3 + c**2*u**2 - 2*c**2*u - 247463*c**2 - c*u**2 wrt u? -373704*c**3*u - 1944*c**3 Differentiate 1025678925*i*s**3 + s**3 - 20515*s - 10080 with respect to i. 1025678925*s**3 Differentiate 586327*d**4 - 6885722. 2345308*d**3 Find the third derivative of 3*o**2*x**3 + 54823132*o**2*x**2 + 24*o*x**3 - 21384*x**3 wrt x. 18*o**2 + 144*o - 128304 Differentiate 1788*u**3 - 28563*u**2 - 144526074. 5364*u**2 - 57126*u What is the derivative of 3837563*b**2 - 5063733 wrt b? 7675126*b Find the first derivative of -216279152*d**3 + 283760891 wrt d. -648837456*d**2 Find the second derivative of -2*o*s**3 - 1370*o*s**2 - o*s - 9931*s**3 + s**2 + 5609*s - 4520 wrt s. -12*o*s - 2740*o - 59586*s + 2 Find the third derivative of 33788*j*z**6 - 4*j*z**3 - 5*j*z**2 + 34*z**3 - 1515682*z wrt z. 4054560*j*z**3 - 24*j + 204 Find the second derivative of -596767463*g**2 + 51079623*g. -1193534926 Find the second derivative of u**4 - 1112094*u**2 - 215*u + 12070. 12*u**2 - 2224188 What is the second derivative of -21692*k*s**2 - 109576721*k*s - 749*s**2 wrt s? -43384*k - 1498 What is the second derivative of 125817*i**4*m**2 - 22*i**4*m - 17*i*m**2 - 872*m**2 - 18*m wrt i? 1509804*i**2*m**2 - 264*i**2*m Differentiate 2*c**4 + 15*c**3 + 2*c**2 + 31920*c + 3355238 with respect to c. 8*c**3 + 45*c**2 + 4*c + 31920 Differentiate -221947046*l*u**3 + 4390*u**3 - 331*u**2 - 2*u with respect to l. -221947046*u**3 Differentiate 1165611064*p*w**3 + 1318635234*w**3 wrt p. 1165611064*w**3 What is the second derivative of 3550075*f**2 + 4513621*f wrt f? 7100150 What is the second derivative of -7*u**2*y**3 + 7*u**2*y + 3*u**2 + 93*u*y + 9*u - y**3 - 33553498*y**2 + 35*y - 1 wrt y? -42*u**2*y - 6*y - 67106996 Differentiate -4*c**3*q - 23130*c*
{ "pile_set_name": "DM Mathematics" }
he prime factors of 554592296. 2, 1193, 58109 What are the prime factors of 14733071? 14733071 What are the prime factors of 1058344155? 3, 5, 11, 101, 21169 What are the prime factors of 790622493? 3, 23, 11458297 List the prime factors of 242149736. 2, 30268717 What are the prime factors of 331097642? 2, 4787, 34583 What are the prime factors of 285998982? 2, 3, 19, 2508763 List the prime factors of 269895377. 269895377 What are the prime factors of 949530388? 2, 79, 317, 9479 What are the prime factors of 25155549? 3, 53, 17579 What are the prime factors of 37089916? 2, 9272479 List the prime factors of 61039223. 7, 61, 142949 What are the prime factors of 2448453503? 37, 547, 120977 What are the prime factors of 3310945678? 2, 61, 677, 40087 List the prime factors of 260991186. 2, 3, 53, 191, 4297 List the prime factors of 221263276. 2, 13, 223, 19081 What are the prime factors of 33625311? 3, 823, 13619 List the prime factors of 207942817. 223, 337, 2767 List the prime factors of 4935575698. 2, 19, 73, 1779227 List the prime factors of 155686769. 7, 3177281 What are the prime factors of 1882146551? 17, 59, 1876517 List the prime factors of 82808486. 2, 101, 409943 List the prime factors of 404168146. 2, 202084073 What are the prime factors of 159016714? 2, 79508357 List the prime factors of 6639022842. 2, 3, 9923, 111509 List the prime factors of 617137868. 2, 83, 1858849 What are the prime factors of 1270644576? 2, 3, 13235881 What are the prime factors of 118222766? 2, 47, 1257689 List the prime factors of 446990456. 2, 11, 29, 15923 List the prime factors of 147676265. 5, 11, 19, 29, 443 What are the prime factors of 1961289471? 3, 79, 367, 22549 List the prime factors of 110989056. 2, 3, 17, 8501 What are the prime factors of 25965805? 5, 281, 18481 What are the prime factors of 2690403080? 2, 5, 29, 191, 12143 What are the prime factors of 5633313503? 5633313503 List the prime factors of 4224894598. 2, 787, 2684177 What are the prime factors of 13991440? 2, 5, 174893 What are the prime factors of 42880624? 2, 2680039 What are the prime factors of 263090427? 3, 87696809 What are the prime factors of 1024568936? 2, 128071117 List the prime factors of 1913344861. 23, 29, 124721 List the prime factors of 34498456. 2, 1097, 3931 List the prime factors of 31377762. 2, 3, 13, 134093 List the prime factors of 621106233. 3, 11, 43, 167, 2621 What are the prime factors of 62247159? 3, 13, 532027 List the prime factors of 260288294. 2, 7, 59, 109 What are the prime factors of 209096207? 71, 97, 313 What are the prime factors of 217810016? 2, 61, 241, 463 What are the prime factors of 855366723? 3, 41, 181, 1423 What are the prime factors of 61913986? 2, 30956993 List the prime factors of 7576792171. 13, 167, 1039, 3359 What are the prime factors of 22148156? 2, 317, 17467 List the prime factors of 1101508353. 3, 11, 17, 654491 What are the prime factors of 128063862? 2, 3, 23, 97, 1063 List the prime factors of 43351349. 43351349 List the prime factors of 89664050. 2, 5, 7, 241, 1063 List the prime factors of 131522437. 3701, 35537 List the prime factors of 69956628. 2, 3, 7, 211, 3947 List the prime factors of 1482218354. 2, 67, 2579, 4289 List the prime factors of 733104131. 193, 3798467 List the prime factors of 564801388. 2, 43, 83, 39563 List the prime factors of 243859801. 243859801 List the prime factors of 55407805. 5, 23, 481807 What are the prime factors of 67873790? 2, 5, 439, 15461 List the prime factors of 7212708900. 2, 3, 5, 29, 103, 2683 What are the prime factors of 498071019? 3, 2801, 59273 What are the prime factors of 389722339? 389722339 What are the prime factors of 14587753? 14587753 What are the prime factors of 49984424? 2, 7, 892579 List the prime factors of 2390069480. 2, 5, 59751737 What are the prime factors of 21230368? 2, 349, 1901 What are the prime factors of 513247780? 2, 5, 31, 167, 4957 What are the prime factors of 27179274? 2, 3, 587, 7717 What are the prime factors of 475894934? 2, 223, 1067029 List the prime factors of 67823625. 3, 5, 17, 10639 What are the prime factors of 151917909? 3, 11, 13, 354121 List the prime factors of 85542099. 3, 173, 164821 What are the prime factors of 15427584? 2, 3, 31 What are the prime factors of 1407087210? 2, 3, 5, 31, 199, 7603 What are the prime factors of 736994965? 5, 7, 17, 1238647 What are the prime factors of 26383164? 2, 3, 2198597 What are the prime factors of 596889003? 3, 79, 929, 2711 List the prime factors of 3630384009. 3, 7, 23, 373, 2239 What are the prime factors of 2427138389? 13, 186702953 List the prime factors of 6125821. 13, 471217 List the prime factors of 138733716. 2, 3, 11, 71, 113, 131 What are the prime factors of 26376451? 2297, 11483 List the prime factors of 1197945154. 2, 7, 17, 5033383 List the prime factors of 2862142818. 2, 3, 477023803 List the prime factors of 336855274. 2, 7, 653, 36847 What are the prime factors of 965491517? 19, 59, 887, 971 List the prime factors of 1280375395. 5, 13, 19698083 What are the prime factors of 2755701179? 7, 11, 1693, 21139 List the prime factors of 54419712. 2, 3, 59, 1201 List the prime factors of 320985810. 2, 3, 5, 19, 187711 List the prime factors of 343060248. 2, 3, 83, 172219 What are the prime factors of 3611124393? 3, 67, 263, 68311 What are the prime factors of 406957003? 491, 828833 What are the prime factors of 564165564? 2, 3, 5381, 8737 What are the prime factors of 375599694? 2, 3, 467, 134047 List the prime factors of 79655251. 13, 17, 41, 59, 149 What are the prime factors of 771144978? 2, 3, 317, 405439 List the prime factors of 1340023652. 2, 11, 163, 186841 What are the prime factors of 243224179? 11, 22111289 What are the prime factors of 51590722? 2, 3739, 6899 What are the prime factors of 14842468? 2, 3710617 List the prime factors of 749123587. 31, 41, 607, 971 List the prime factors of 35388230. 2, 5, 619, 5717 What are the prime factors of 2168014436? 2, 7, 6367, 12161 What are the prime factors of 374540532? 2, 3, 17, 107999 What are the prime factors of 530629882? 2, 265314941 What are the prime factors of 118593297? 3, 13177033 What are the prime factors of 2402949128? 2, 31, 431, 22481 What are the prime factors of 571377139? 19, 67, 448843 What are the prime factors of 226440564? 2, 3, 7, 89, 4327 What are the prime factors of 75384212? 2, 131, 293, 491 What are the prime factors of 404841890? 2, 5, 40484189 List the prime factors of 400651882. 2, 200325941 List the prime factors of 50641535. 5, 7, 1446901 List the prime factors of 465527008. 2, 14547719 What are the prime factors of 162355607? 162355607 List the prime factors of 57935420. 2, 5, 359, 8069 List the prime factors of 1568783519. 691, 2270309 What are the prime factors of 88126072? 2, 137, 80407 List the prime factors of 83405368. 2, 10425671 List the prime factors of 106109249. 31, 809, 4231 What are the prime factors of 35531655? 3, 5, 37, 73, 877 List the prime factors of 1687264062. 2, 3, 11, 41, 277, 2251 List the prime factors of 1806571467. 3, 12983, 15461 List the prime factors of 36102951. 3, 17, 235967 What are the prime factors of 38758014? 2, 3, 8861 List the prime factors of 879505798. 2, 439752899 List the prime factors of 241960373. 241960373 List the prime factors of 2119234050. 2, 3, 5, 1569803 List the prime factors of 35695221. 3, 433, 27479 What are the prime factors of 936709568? 2, 14636087 What are the prime factors of 5101846723? 157, 179, 379, 479 List the prime factors of 168159605. 5, 33631921 What are the prime factors of 1549993684? 2, 41, 9451181 What are the prime factors of 383570329? 71, 179, 30181 What are the prime factors of 336320175? 3, 5, 359, 12491 What are the prime factors of 1360719482? 2, 67, 577, 17599 What are the prime factors of 135038781? 3, 229, 65521 What are the prime factors of 512835549? 3, 17, 1291, 7789 List the prime factors of 16913234. 2, 13, 23, 28283 What are the prime factors of 3649940658? 2, 3, 7, 13, 181, 947 What are the prime factors of 1350534204? 2, 3, 2789, 13451 What are the prime factors of 39413260? 2, 5, 23, 47, 1823 What are the prime factors of 43608467? 7, 101, 61681 List the prime factors of 6923508. 2, 3, 271, 2129 What are
{ "pile_set_name": "DM Mathematics" }
27 + 375, -5*q - 3048 = -3*o. What is the thousands digit of o? 1 Let m = 10 + -9. Let y be 184/16 - m/(-2). Suppose -3*h + h + 4*t = 0, 0 = -3*t + y. What is the units digit of h? 8 Let h(q) = 83*q + 70. What is the tens digit of h(5)? 8 Let c be 3 - (7 - 2)*1. What is the tens digit of 3/c + 1572/24? 6 Let q(r) = -509*r - 24. What is the hundreds digit of q(-1)? 4 Let d(p) = -15*p**3 - 2*p + 1. Let g be d(3). What is the tens digit of 1/(g/(-405) + -1)? 8 Let y = 13 + -10. Suppose 0 = -y*n + 175 + 170. What is the units digit of n? 5 Suppose -4*w = 5*x - 18, x + 2*w + 2 = 4*w. Suppose -21 - 5 = -x*y. What is the units digit of y? 3 Let j = 15 + -11. Suppose a = -j*c - c - 85, 3*a = 2*c + 17. Let v = c + 23. What is the units digit of v? 7 Let d be -1 - -5 - (3 - 4)/(-1). Suppose -3*r = j - 179, j + 5*r - 709 = -d*j. What is the hundreds digit of j? 1 Suppose 5*i = -m - 16, 5*i = -3*m + 3*i + 4. Suppose -m - 12 = -2*u. Suppose u*y + 14 = 10*y. What is the units digit of y? 7 Let k = 448 - -784. What is the thousands digit of k? 1 Suppose 0 = 2*m + 15 - 845. What is the hundreds digit of m? 4 Let m be 3/((-34)/10 - -4). Suppose m*r - 6*p = -2*p + 162, 4*r + 4*p = 144. Suppose -r - 26 = -q. What is the units digit of q? 0 What is the units digit of (382/1)/2 - -1? 2 Suppose -16*w + 17 + 47 = 0. What is the units digit of w? 4 Suppose -31*v = -22*v - 1566. What is the units digit of v? 4 Suppose -4*x + 32 = -16. What is the units digit of ((-15)/x - -1)/((-4)/3632)? 7 Suppose -2*n = -s + 5*s + 18, -3*s - 4 = n. Let k = n - -8. Let v = -10 - k. What is the units digit of v? 1 Let u be (0/3)/(-2*4/(-8)). Suppose d - 60 - 53 = u. What is the tens digit of d? 1 Let l(u) = -2*u - 13. Let y be l(-7). What is the tens digit of y - (-3 + -1 + -17)? 2 Let b be (-1)/(-5) - (-620)/25. Suppose 3*z - 2*z - b = 0. Suppose 0 = 2*c - 3*c + z. What is the tens digit of c? 2 Let t(z) = -z**3 - z**2 - 18*z + 1213. What is the tens digit of t(0)? 1 Let c be 2734/8 + (-4)/(-16). Suppose c = 4*p - 174. What is the tens digit of p? 2 Let q(d) = -d**3 - 6*d**2 - 2*d - 9. Let l be q(-6). Suppose -l*n + 2*n = -6. What is the units digit of n? 6 Suppose 45*r - 14053 = 32*r. What is the hundreds digit of r? 0 What is the tens digit of (18/(-36))/((-1)/878)? 3 Let a be 5 - -107 - (1 - 1). Let s = -53 + a. What is the units digit of s? 9 Let d(j) = -j**2 + 5*j + 6. Let f be d(6). Suppose 2*q + 228 = 5*r + 5*q, f = 3*r - q - 148. What is the tens digit of r? 4 Let k be (-43 + 2)*20/2. Let u be -17 - (-1)/1*2. What is the tens digit of k/u + (-4)/(-6)? 2 Let m(j) = 1007*j - 2. Let k be m(1). What is the tens digit of ((-5)/2)/5 + k/10? 0 Suppose -5*v + 70 = l + 4*l, 5*l = -3*v + 48. Let u be (-39)/12*(2 + -22). Suppose -5*a - u = -5*s, -s + 4*s = -4*a + v. What is the units digit of s? 9 Let h = 247 + -112. What is the hundreds digit of h? 1 Let y = 976 - 575. What is the tens digit of y? 0 Suppose 13*v = 2*v + 1529. Suppose -6*x + 5*x = -v. What is the tens digit of x? 3 Suppose 0 = -l + 3374 + 742. What is the thousands digit of l? 4 Suppose 620*o = 625*o - 1225. What is the tens digit of o? 4 Suppose -12*c + 982 = -10*c. What is the units digit of c? 1 Let j = -427 - -305. Let u = j + 152. What is the units digit of u? 0 What is the units digit of (0/(-10) - 1)/(1/(-5171))? 1 Let k(h) = 2003*h**2 + 2*h - 1. What is the hundreds digit of k(1)? 0 Let i be 10 - (-4 - (-1 + -2)). Let h be i/(-2)*2/1. Let l(d) = d**2 + 12*d + 14. What is the units digit of l(h)? 3 Let n(b) = b**3 + 21*b**2 + 20*b + 2. Let j be n(-20). Suppose 350 = 5*l + 5*z, 5*l - 2*z - 314 = j*z. What is the units digit of l? 6 What is the units digit of 6*(12 + 34243/66)? 5 Let c = -406 - -588. What is the units digit of (c/35)/((-1)/(-25))? 0 Suppose 17 = o + 4*k, 3 = o - k + 1. Suppose 0 = -o*w + 2*w + 162. What is the units digit of w? 4 Let k(h) = -h - 28. Let z be k(-29). Suppose -3*s + 0*x - 2*x + 7 = 0, 5*s - 12 = -3*x. Suppose s = 4*l - z. What is the units digit of l? 1 Let d = 1 + 5. What is the tens digit of (2/d)/((-2)/(-72))? 1 Let s be (9 + -9)*1*-1. Suppose 2*c + s*c = -12. Let g = c + 19. What is the units digit of g? 3 Suppose -i = -0 - 2. Suppose 0*m - 144 = -16*m. Suppose 0 = -i*x - x + m. What is the units digit of x? 3 Let y(h) = 17 - 4*h**2 + 11*h + 7*h**2 + 0. What is the hundreds digit of y(-10)? 2 Suppose 0 = -12*z + 23*z - 4092. What is the hundreds digit of z? 3 Suppose -3*o = -1110 - 189. Let x = o + -191. What is the hundreds digit of x? 2 Suppose 14*s = -1609 + 265. What is the units digit of 12*((-776)/s + 2/(-6))? 3 Suppose -2*i = 0, 2*n + 0*i - 84 = 2*i. Suppose 5*m - 6*u = -2*u - 1, -5*u = 3*m - 29. Suppose m*d - 12 = n. What is the units digit of d? 8 Let z = 2931 + -1578. What is the units digit of z? 3 Suppose -1000 = -11*s + 705. Suppose 0*l = 3*l + 5*b - s, 0 = 4*l - 4*b - 164. What is the tens digit of l? 4 Suppose -9*c + x = -7*c - 5485, 3*c - 8229 = 3*x. What is the tens digit of c? 4 Suppose 40*d - 4735 - 15025 = 0. What is the hundreds digit of d? 4 Let f(d) = d**3 - 33*d**2 - 11*d - 124. What is the units digit of f(34)? 8 Suppose -4*g = -5*w + 709, 3*w - g = -0*g + 424. Suppose 3*q = b + w, 5*b - 53 - 88 = -3*q. What is the tens digit of q? 4 Suppose 3*n + 3*n = 18. Suppose -n*x + f = -187, 6*x - 4*x + 4*f = 120. What is the tens digit of x? 6 Suppose 341*z - 292 = 339*z. Let t = z + -14. What is the units digit of t? 2 Let q be 6/(-15) - (-56)/40. What is the tens digit of (q/(-2))/((-22)/3212)? 7 Let i = 2557 + -711. What is the units digit of i? 6 Let n = 35 - -15. What is the units digit of n? 0 Suppose -g + 5*f = -1128, -2*g - 3*f = -4*g + 2221. What is the tens digit of g? 0 Let b be -3*(-4)/(60/(-55)). Suppose -40 = 4*l + l. Let t = l - b. What is the units digit of t? 3 Suppose -2184 = -2*k - 2*k + 4*g, 15 = -5*g. What is the hundreds digit of k? 5 Suppose 0 = 17*l - 21*l + 360. What is the tens digit of l? 9 Let i be -4 - (59/1 + -2). Let x = -6 - i. Let l = x - 31. What is the tens digit of l? 2 Suppose -15*u + 408 + 3777 = 0. What is the tens digit of u? 7 Let q be -7 - -7 - -1 - (-15 + 0). Suppose -23*n + 665 = -q*n. What is the units digit of n? 5 Let q(u) = -646*u + 306. What is the hundreds digit of q(-3)? 2 Suppose 5*v - 1009 = -2*l, -5*l + 1032 = 5*v + 17. Suppose -2*r - v = -p - 6*r, -369 = -2*p + 3*r. What is the units digit of p? 9 Suppose -2*l + 1034 = -2*y, 0 = 5*l - 3*l - 3*y - 1033. Suppose 0 = -4*h - 50 + l. What is the hundreds digit of h? 1 What is the hundreds digit of ((-5)/5)/(8832/(-1766) - -5)? 8 Let h = -563 - -2230. What is the units digit of h? 7 Let j(k) = 16*k**2 - 52*k - 14. What is the units digit of j(8)? 4 Let t(p) = -2*p**3 + 3*p**2 + 7*p + 36. What is the hundreds digit of t(-8)? 1 Let b(s) = -s**3 + 9*s**2 + 7*s - 12. What is the tens digit of b(-5)? 0 Let z be (-1)/((-4)/8) + 3. Suppose 15*q = 16*q. Suppose q = -z*o + 92 + 83. What is the tens digit of o? 3 Suppose -20*t + 5*t = -36480. What is the hundreds digit of t? 4 Suppose 2*f - 5 = -25. Let r be (-11)/4*(2 - f). Let i = r + 49. What is the units digit of i? 6 Let s(l) = l**2 + 9*l - 7. Let x be s(-10). Suppose 6*z + 99 = 2*z + 3*f, -3*z = -x*f + 78. Let r = z + 38. What is the tens digit of r? 1 Let f(p) = 5 - 4*p + 2 - 14 - 16. What is the units digit of f(-12)? 5 Let k(v) = 2*v**3 - 2*v**2 - 3*v + 2. Let i be k(2). Suppose i*p - 68 = 168. What is the units digit of p? 9 Suppose 5*c = -25, -u - 4*c + 2124 = -c. What is the tens digit of u? 3 Let j be 2 - (3 + 1) - -4. Suppose j*d = -4*d + 618. What is the tens digit of d? 0 Suppose -3*v + 4*v = 61. Let m = v + 5. What is the units digit of m? 6 Let u(b) = 2041*b**2 + b - 8. What is the units digit of u(1)? 4 Let c be 1 + -1 + 12/(-4). Let i(x) = -x**2 - 3*x. Let y be i(c). Suppose l + 4*l - 95 = y. What is the units digit of l? 9 Suppose 5*x = 14*x - 612. Let f = -46 + x. What is the units digit of f? 2 Let x(m) = -79*m + 14. What is the hundreds digit of x(-3)? 2 Let a(d) = -d**3 + 4*d**2 + 11*d + 7. Let p be a(6). Let i(j) = 161*j**2 + j + 1. What is the tens digit of i(p)? 6 Suppose -4*j = -u - 5, 12*j - 8*j = 3*u - 1. What is the hundreds digit of ((-1 - -2) + 0)*441/u? 1 Let f = -53 + 55. Suppose -2*h
{ "pile_set_name": "DM Mathematics" }
is smaller: -38 or -37671/1003? -38 Is -81742 at most as big as -81973? False Is -414468905 != -414468904? True Which is greater: 8627 or 432? 8627 Is 359939 greater than or equal to 359950? False Which is greater: -3/31204583 or 1? 1 Is 1 at most 2962/33043? False Is 38593/183 less than or equal to 210? False Is 22292612 less than 0? False Which is bigger: -21/40 or 1.82? 1.82 Is 54 >= -88692? True Which is bigger: -83137 or -81335? -81335 Which is greater: -69 or -190012/2769? -190012/2769 Which is smaller: 142377 or 2040? 2040 Which is greater: 6336.2 or 2/5125? 6336.2 Which is bigger: -1 or 12690/889313? 12690/889313 Is -1 less than 6/266501593? True Which is bigger: -1 or 1781/7131? 1781/7131 Which is smaller: 30179920 or 30179918? 30179918 Which is smaller: 8 or 50467? 8 Is 156243 greater than 156361? False Is -317873354 >= -317873355? True Which is bigger: -13 or 2/165269? 2/165269 Which is greater: -365241 or -365223? -365223 Which is smaller: -6008 or -8306? -8306 Is -138/93223 > 1? False Is -3526664 >= -3526664? True Do 94 and 120938 have the same value? False Which is smaller: -2419827 or -2419823? -2419827 Is -0.1 less than -3047.4942? False Is -68288792 at least -478021538/7? False Is -2598811 smaller than -2598808? True Are -31677405 and 2.6 unequal? True Is -782691 >= -509? False Do -4763 and -2950 have different values? True Which is greater: -841/3653 or 0? 0 Is 1 < -266/355779? False Which is smaller: 8475350 or 8475349? 8475349 Which is smaller: -12.12309 or -30? -30 Which is smaller: -2067873 or -1/4? -2067873 Do 13471644/5 and 2694330 have the same value? False Is -15/23270356 < 0? True Are 11102526 and 11102527 unequal? True Which is smaller: 116/1015587 or 0? 0 Which is smaller: -1 or 489/2752469? -1 Which is bigger: 174894 or 7870252/45? 7870252/45 Do 0.06 and 3/24592541 have different values? True Which is smaller: 2484 or 16.08? 16.08 Which is smaller: -1/960138 or 2? -1/960138 Are 93481 and 97203 nonequal? True Is 56.70904 at most as big as 2? False Which is smaller: -46140 or -66? -46140 Is -1 at most -317/77824? True Is -5488838 < -5488837? True Which is greater: 6.4894 or 412? 412 Which is smaller: -1 or 1067/3533? -1 Which is bigger: 1306186 or 53553582/41? 1306186 Which is smaller: 1 or -41/3960001? -41/3960001 Which is smaller: -614716/23 or -26726? -614716/23 Is -1 at most -13/7765093? True Which is bigger: 0 or -72/84383? 0 Which is smaller: 369787313/6 or 61631218? 61631218 Are -195 and 33296 equal? False Which is bigger: -35412454 or -35412457? -35412454 Which is bigger: 2/5252925 or -0.03? 2/5252925 Which is smaller: -0.8 or 10982/8043? -0.8 Is -0.61 >= -29814.3? True Is 38547277 at least 38547275? True Does 1 = 116/130139? False Is -1 not equal to -47670/45509? True Which is smaller: -12027977 or 0.1? -12027977 Which is greater: -31117852/145 or -214605? -214605 Which is smaller: -2248589 or -2248593? -2248593 Which is bigger: 3013520614/3 or 1004506870? 3013520614/3 Which is smaller: -1584 or 83200? -1584 Which is smaller: -3/11 or 2487997? -3/11 Does 1 = 2/261985491? False Is -4456528 less than 2/7? True Which is greater: 1/55820 or -490? 1/55820 Is 30098942 at least as big as 30098955? False Is -1 less than or equal to -709/16275? True Is -2933786 > -2933790? True Which is smaller: 3440855 or 3440708? 3440708 Is 466896 at least 1/8? True Is -2 >= -32/632293? False Is -1 greater than 245/176188? False Which is smaller: -5 or -27044235? -27044235 Which is smaller: -4/26000581 or 0? -4/26000581 Which is greater: -0.2 or 27.66186? 27.66186 Which is greater: 0 or 1/455456658? 1/455456658 Which is greater: -4284347 or -4284345? -4284345 Is 2/56994537 < 1? True Which is smaller: 1756954 or -534? -534 Which is bigger: 2/1202536979 or -1? 2/1202536979 Which is smaller: -559/47941 or -1? -1 Which is smaller: -11 or -1486619? -1486619 Which is greater: 4128253 or 4128252? 4128253 Which is bigger: -7.21 or -0.40942? -0.40942 Is 584375/29 less than or equal to 20152? True Are -518 and 115/8 equal? False Do 3 and 22861/5844 have different values? True Is -43009933 at least -43009933? True Which is smaller: 0 or 3/721724932? 0 Which is bigger: -142922023 or -142922024? -142922023 Which is greater: -1/126499854 or 1? 1 Is 212550/371 at least -0.1? True Are 7238766 and 2 non-equal? True Is 887/9661 less than -1? False Is 0 > -5/11602966? True Which is smaller: -42290614 or 1/6? -42290614 Which is bigger: -41773 or -4678637/112? -41773 Is -4663818/133 > -35065? False Is -5058/311 >= -16? False Which is smaller: 260533 or 260534? 260533 Which is bigger: -1651/4 or 0.3? 0.3 Which is smaller: 2/1283 or -15710? -15710 Is -12533184 equal to -12533185? False Is 3990558 equal to -80? False Is 6880132/73 bigger than 94248? True Which is bigger: -13056/3053 or -4? -4 Which is bigger: -20 or -228072/11927? -228072/11927 Which is greater: -2 or -534.04701? -2 Which is smaller: -1348775 or -1348757? -1348775 Which is greater: -10015854 or -0.3? -0.3 Is -9389/7 at least as big as -1342? True Which is bigger: 103489 or 103482? 103489 Is 18782939/5 less than 3756589? True Which is bigger: 133177264 or 1198595380/9? 1198595380/9 Which is greater: 482337.4 or -3/2? 482337.4 Which is smaller: 0.4698734 or 15? 0.4698734 Is -49515823 greater than -49515824? True Which is bigger: 5194/739 or 0.62? 5194/739 Which is greater: -1 or -182890/2267? -1 Is 4694112 bigger than 58? True Is 9.40398 at least -67? True Is 756 != 97592/129? True Is -127305420 > 0? False Is 407688 > 407689? False Which is greater: -1109/394060 or 2/7? 2/7 Are 38209 and 2/2927 non-equal? True Which is smaller: -282406/3 or 17? -282406/3 Which is greater: 24.3 or -16126? 24.3 Which is bigger: -1947623 or -1947564? -1947564 Which is smaller: -5115927 or -5115959? -5115959 Which is smaller: 56342 or 56326? 56326 Which is smaller: 78546 or 80134? 78546 Which is bigger: 27601673 or 27601674? 27601674 Is 101129777 less than 101129776? False Which is bigger: 3592500 or 3592503? 3592503 Does -1947525 = -1947481? False Is 71260 smaller than 72847? True Which is greater: -434 or -0.844139? -0.844139 Which is bigger: 358271 or 358267? 358271 Which is smaller: 2050507 or 2050484? 2050484 Is 1388453/2 equal to 694226? False Which is smaller: 31567 or 20? 20 Is -1 bigger than 3/5137784? False Are 26461295 and 26461293 equal? False Which is smaller: -333/381058 or 1? -333/381058 Which is bigger: 842 or 169054/201? 842 Which is bigger: 88644462 or 88644463? 88644463 Which is smaller: 1 or 7/10235742? 7/10235742 Which is bigger: 0 or -3/26418457? 0 Is -25 smaller than -15332/617? True Which is bigger: 240/3222823 or 1? 1 Which is bigger: -22/7 or -28825? -22/7 Which is bigger: -8488291 or -16976581/2? -16976581/2 Is -7909 <= -680047/86? True Which is smaller: 27/706916 or 0? 0 Which is smaller: 23201980 or 23202004? 23201980 Is -1 at most as big as 119/2207235? True Which is greater: 8768162 or 8768169? 8768169 Is -1390 > -29185/21? False Which is greater: -17206 or -2.5625? -2.5625 Are -17865840 and -17865840 equal? True Is 100343 >= 99859? True Do -1694265 and -1694265 have different values? False Which is smaller: 150066 or 149969? 149969 Are 721536950 and 721536952 equal? False Which is smaller: 2356 or 986828/419? 986828/419 Which is smaller: 12071009/2 or 6035505? 12071009/2 Is -318 at least -202051/638? False Which is smaller: 110822/9 or 219? 219 Is -0.1 >= -9767819? True Are -181310601/5 and -36262121 equal? False Which is smaller: 43271802 or 43271804? 43271802 Is 0 at least as big as 2126/23439? False Is 5483721 < 5483764? True Is -229508/433 >= -531? True Is -4815812 bigger than -4815788? False Which is smaller: -779648 or -779636? -779648 Is 6081476 <= 6081481? True Do 16 and -50797.1 have the same value? False Which is smaller: -9394 or -9722? -9722 Is 20052/16387 at most 0? False Is -4249 bigger than -1857000/437? True Which is greater: 3324 or 10339? 10339 Which is smaller: -1261050 or -1261103? -1261103 Is -707550788/9 greater than -78616755? True Is 9465010 at most as big as 28395032/3? True Is -79788025 greater than 1/2? False Does -3860332 = -3860322? False Which is greater: -89/470 or -54? -89/470 Which is smaller: -4349785 or -4349782? -4349785 Is 15161971 < -2?
{ "pile_set_name": "DM Mathematics" }
ommon factor of 67801841 and 194107. 2659 What is the greatest common factor of 4665677 and 1271? 41 What is the highest common factor of 7733 and 4351? 19 What is the greatest common divisor of 4670833 and 259825? 547 Calculate the highest common divisor of 118339 and 39. 13 Calculate the greatest common divisor of 14090166 and 9019. 311 What is the highest common factor of 92140 and 2205716? 68 What is the highest common divisor of 1187474 and 4? 2 Calculate the highest common divisor of 23396789 and 117. 13 Calculate the greatest common factor of 154974 and 4888650. 138 Calculate the highest common factor of 59 and 25918051. 59 Calculate the highest common divisor of 268216 and 1807. 13 Calculate the highest common factor of 34 and 101014. 34 What is the highest common factor of 28751237 and 9443? 1349 Calculate the highest common divisor of 24819045 and 6895. 985 Calculate the highest common divisor of 731668 and 602. 14 Calculate the greatest common divisor of 838 and 17694. 2 Calculate the highest common factor of 2338 and 226508947. 1169 Calculate the highest common divisor of 6694 and 20018. 2 Calculate the greatest common factor of 1479 and 42540999. 87 Calculate the greatest common divisor of 16 and 3737948. 4 Calculate the greatest common divisor of 4397408 and 128. 32 What is the highest common factor of 333 and 30932397? 9 What is the greatest common divisor of 746800 and 6400? 400 Calculate the greatest common divisor of 10236850 and 234. 26 What is the highest common factor of 2694081 and 429? 39 Calculate the greatest common divisor of 5779400 and 296. 296 What is the greatest common divisor of 29854 and 12626? 118 What is the greatest common factor of 34 and 50200082? 34 Calculate the greatest common divisor of 1592241404 and 3016. 1508 Calculate the highest common divisor of 10 and 129210610. 10 What is the highest common divisor of 414 and 8265717? 207 What is the greatest common factor of 1619300 and 2440? 20 What is the highest common factor of 1286310 and 601020? 1590 What is the greatest common divisor of 21174184 and 152? 8 Calculate the greatest common factor of 49938377 and 29. 29 What is the highest common factor of 2875352 and 6? 2 What is the greatest common divisor of 4220964 and 102? 102 What is the highest common factor of 1344 and 4327152? 48 Calculate the greatest common factor of 112 and 28085176. 56 What is the greatest common divisor of 3159909 and 23914? 1087 What is the greatest common factor of 1930 and 280270? 10 Calculate the highest common factor of 335133 and 3519. 207 What is the greatest common divisor of 32172 and 3647? 7 What is the highest common divisor of 2893610 and 790? 10 Calculate the greatest common factor of 2074738 and 4. 2 Calculate the highest common divisor of 59904 and 100088. 8 Calculate the greatest common divisor of 48566 and 847. 7 What is the highest common divisor of 812 and 141428? 28 What is the greatest common divisor of 2000 and 173875? 125 Calculate the highest common divisor of 6415760 and 5859620. 8060 What is the greatest common divisor of 38197760 and 1920? 640 What is the highest common divisor of 7875714 and 8162? 154 What is the greatest common divisor of 428379776 and 110? 22 What is the highest common factor of 2708846 and 42? 14 Calculate the highest common divisor of 545666287 and 47. 47 Calculate the greatest common divisor of 8265 and 1296807. 57 What is the greatest common divisor of 3660 and 2080680? 60 What is the greatest common divisor of 3997652 and 204? 68 Calculate the highest common factor of 1681902 and 172774. 3526 Calculate the greatest common factor of 1004 and 717358. 502 What is the greatest common divisor of 116 and 31113926? 58 What is the greatest common factor of 78 and 2434406? 26 Calculate the greatest common factor of 240640 and 241580. 940 What is the greatest common divisor of 1166566 and 805108? 934 Calculate the greatest common divisor of 29197650 and 21045. 915 What is the highest common factor of 405 and 3075645? 15 Calculate the highest common factor of 31 and 49156297. 31 Calculate the highest common factor of 15400935 and 880. 55 Calculate the highest common factor of 391217220 and 2628. 2628 Calculate the highest common factor of 198 and 31185. 99 What is the highest common factor of 646668 and 20093? 71 Calculate the greatest common divisor of 3981475570 and 10. 10 Calculate the greatest common factor of 32555 and 942735. 85 What is the highest common divisor of 1279168 and 1840? 368 Calculate the greatest common factor of 5425305 and 15. 15 Calculate the greatest common divisor of 157857392 and 444. 148 Calculate the greatest common divisor of 12844 and 1325250. 38 Calculate the highest common factor of 3116582 and 14. 14 What is the greatest common divisor of 42699359 and 3995? 799 Calculate the highest common divisor of 143099 and 196318819. 13009 What is the highest common factor of 1173 and 21561? 3 What is the highest common divisor of 53 and 68784? 1 Calculate the highest common divisor of 205 and 59612975. 205 What is the highest common divisor of 21664 and 23119550? 1354 Calculate the greatest common factor of 1585 and 4958197. 317 What is the highest common divisor of 170300 and 452400? 1300 What is the highest common factor of 105828272 and 1232? 176 Calculate the greatest common divisor of 8018 and 132620. 38 What is the highest common factor of 3406 and 2869817? 131 What is the greatest common factor of 173183164 and 77? 77 Calculate the greatest common divisor of 24752 and 2200016. 1456 What is the highest common divisor of 139 and 20189333? 139 Calculate the highest common divisor of 249822622 and 98. 14 Calculate the highest common divisor of 195812392 and 50184. 5576 What is the highest common factor of 3 and 25637732? 1 Calculate the greatest common divisor of 948689 and 1273. 19 Calculate the highest common factor of 130425 and 588675. 3525 What is the highest common factor of 69852471 and 1248? 39 What is the greatest common factor of 748 and 782848? 44 Calculate the highest common divisor of 800938 and 12002. 34 What is the greatest common factor of 740 and 73165465? 185 What is the highest common divisor of 24132935 and 105? 5 Calculate the highest common divisor of 14921 and 899771. 347 What is the greatest common factor of 769 and 1723035242? 769 Calculate the greatest common factor of 60424568 and 35560. 1016 Calculate the highest common factor of 7490 and 411272155. 3745 What is the greatest common factor of 249714 and 522? 18 Calculate the greatest common factor of 1116495 and 292185. 1935 What is the greatest common divisor of 786574 and 22? 2 Calculate the greatest common divisor of 1476 and 279252. 36 Calculate the highest common factor of 1408 and 35829200. 176 What is the highest common factor of 9345753 and 81? 27 Calculate the greatest common factor of 44 and 511599. 11 Calculate the greatest common factor of 144320 and 2314040. 1640 What is the greatest common factor of 1106541 and 29127? 57 Calculate the greatest common divisor of 78692508 and 214. 214 Calculate the greatest common factor of 43726179 and 147. 147 Calculate the greatest common divisor of 1241 and 25299026. 1241 What is the greatest common divisor of 1805 and 13909691? 361 Calculate the greatest common divisor of 597607 and 168625. 1349 Calculate the highest common divisor of 1187641 and 471107. 2821 What is the highest common factor of 4342790 and 310? 310 Calculate the highest common factor of 996481036 and 316. 316 What is the greatest common divisor of 12465084 and 12? 12 Calculate the greatest common factor of 8738464 and 248. 8 What is the greatest common factor of 413112 and 7672? 56 What is the greatest common divisor of 213078 and 27438? 102 What is the highest common factor of 1030050116 and 76? 76 What is the greatest common factor of 185970 and 40? 10 What is the greatest common divisor of 317 and 298150863? 317 What is the highest common divisor of 710982504 and 25210? 5042 What is the highest common factor of 14284053 and 1071? 63 What is the greatest common factor of 517093 and 12638? 71 Calculate the highest common factor of 316 and 11. 1 What is the greatest common divisor of 1548 and 351998? 86 Calculate
{ "pile_set_name": "DM Mathematics" }
*q + 1. Let t be k(-2). Let j(r) = 2*r**3 + 0*r - r**2 + r + 0*r**3 + 0*r. Let l be j(t). Solve 0*x + l*x + 10 = 0 for x. -5 Let l(j) = j**3 + 11*j**2 - 8*j. Let v(f) = 2*f**3 + 22*f**2 - 17*f. Let o(k) = -7*l(k) + 4*v(k). Let y be o(-12). Solve y = -2*q + 7*q - 25 for q. 5 Let a be 7/((-14)/(-4)) - 0. Let g = -2 - -4. Suppose -17 = -2*t - f, 0 = -g*f - 3 + 13. Solve t = -a*z - z for z. -2 Let p be 10*((-27)/(-6))/9. Solve 3*j = -2*j + p for j. 1 Let t = -8 + 12. Suppose -b + t = 3*b. Solve b + 2 = -w for w. -3 Let q(x) = -x - 2. Let d(o) = 2*o + 4. Let v(y) = 6*d(y) + 11*q(y). Let u be v(0). Solve c = -u*c for c. 0 Let q = -6 + 8. Suppose -k = q*k. Solve k*h + 3 = -h for h. -3 Suppose -r + 2*r + 5 = 0. Let m be (r - 1)*3/(-9). Solve -2*g = m*g + 4 for g. -1 Let k(p) = -3*p + 28. Let c be k(9). Solve -b - 5 = -c for b. -4 Let o(j) = 5*j**3 + 10*j**2 + 17*j + 19. Let p(n) = -3*n**3 - 5*n**2 - 9*n - 10. Let q(y) = 4*o(y) + 7*p(y). Let z be q(6). Solve -r + z*r - 2 = 0 for r. -2 Suppose 2*d - 2*r = 0, -2*r = -3*r + 4. Suppose 3 - 3 = 3*b. Solve -3*c + d*c + 2 = b for c. -2 Suppose -2*x + 7*x + 10 = -z, 2*z - x = -9. Suppose -1 + 0 = -2*m - h, m = 4*h - 22. Let i = m - z. Solve i*b = -2*b for b. 0 Let y be (-2)/(-9) + 238/63. Solve a + 0 = -y for a. -4 Let h = 10 - -2. Let y(r) = r**3 - 11*r**2 - 11*r - 10. Let z be y(h). Solve -15 = z*s - 5*s for s. 5 Let q = 93 + -90. Solve 2*w - q*w = 5 for w. -5 Let x be (-4)/(-10) + (-86)/(-10). Let p = -18 - -19. Solve -5*n + p = -x for n. 2 Suppose -7*d - 4 = -4*d + 4*z, -3*d - 2*z - 2 = 0. Let l(x) = -x**2 - x + 7. Let j be l(d). Solve 4*q + 19 = j for q. -3 Let t(a) = -2*a + 2. Let p be t(-3). Solve -3*q + p = -7 for q. 5 Suppose -2*x + 3 = -1. Suppose 5*r - x*m = -3*m + 5, -5*m + 25 = 2*r. Solve 0*d - 4*d - 20 = r for d. -5 Let d(f) = 8*f - 28. Let q be d(4). Solve k + q*k = -15 for k. -3 Let i(o) = o**2 + 7*o + 6. Suppose 5*y - 12 = -42. Let b be i(y). Solve -1 = -p - b for p. 1 Let h(q) be the second derivative of -q**3 - q**2 + 3*q. Let v be h(-2). Solve -x + v = x for x. 5 Suppose -2*y = 2*q - 12, 3*q = 5*y - 0*q - 46. Solve -3*w = w - y for w. 2 Let t = 22 + -31. Let y be (1 + -4 - t)/2. Solve -4*r - y = 9 for r. -3 Let b(v) = 3*v**2 - 1. Let l be b(-1). Suppose -q = -0 - l. Solve 0*r + 2*r = -q for r. -1 Suppose 2*y - y - 4*y = 0. Solve y = 4*p - 3*p + 4 for p. -4 Suppose a + 0*a = 2. Let h be 2 + (-1)/a*4. Solve -o - 2 - 2 = h for o. -4 Suppose -2*z - 20 = -2*g + z, 2*g - 28 = 5*z. Suppose -2*x + 2 = u - 2, -g*x = -5*u + 20. Suppose 7*n = u*n + 36. Solve 0*l - n = 3*l for l. -4 Let k = 21 - 18. Solve -k*i = -i - 10 for i. 5 Suppose 5*q - 65 - 60 = 0. Suppose -n + q = 5*t, 2*n - 2*t + 0*t - 2 = 0. Solve n*z + 4 = 3*z for z. -2 Let y(d) = 2*d - 13. Let g be y(9). Solve 2*v + g = -1 for v. -3 Suppose p - 96 = -3*p. Suppose -3 = 3*u - p. Solve -4*n = 27 - u for n. -5 Let c be (-1 - (4 + -1)) + 6. Solve -i = -1 + c for i. -1 Let z = 49 - 49. Solve 6 + z = 3*h for h. 2 Let l = 28 - 16. Solve -3*k + l = k for k. 3 Suppose 0 = w - 5*w. Suppose w = 3*z - 2*a - 0*a - 1, -4*z = -4*a + 4. Suppose 5*v - 3 = 4*v. Solve z = 3*d - v for d. 2 Let y(u) = -u**3 + 4*u**2 + 11*u + 12. Let t be y(6). Solve t = -3*j + 6*j for j. 2 Let h be 7/28 - 50/8. Let u(q) = q**3 + 8*q**2 + 9*q + 7. Let f be u(h). Solve -f + 0 = -5*r for r. 5 Suppose -3 = 2*f - 7*f + 3*z, 3*f - 5*z + 11 = 0. Suppose 4*h - 3 = 5. Suppose -o - f = h*o, -g + 5*o = -8. Solve 9 + g = 3*w for w. 4 Suppose 5*o + 3*j - 3 = -12, 15 = o - 5*j. Solve 3*g + 0*g - 3 = o for g. 1 Suppose -4*g + 5*n + 40 = 0, -2*g + 0*n = 2*n - 20. Solve 11*k - g = 6*k for k. 2 Let q be 4/(-10) - (-7)/5. Let a be (-1 - 0/1)*-12. Let o = a - 7. Solve q - 21 = -o*c for c. 4 Suppose 0*r = 4*r + 8. Let l be 1/(r*4/(-40)). Solve 2*v - l*v - 6 = 0 for v. -2 Let p be (-7)/(-42) + (-46)/(-12). Suppose -p*q + 16 = -0*q. Solve 0 = q*g + g + 15 for g. -3 Suppose -2*o + 3*s = -3*o + 3, -o - 4*s + 4 = 0. Solve o = -3*l + l + 8 for l. 4 Let s be 1/((-2)/(-10))*10. Suppose -p - s = -3*p. Solve -6*u + p = -u for u. 5 Suppose -4*q + q + 3 = 0. Solve o - 6 = -q for o. 5 Let q be 2/6*264/(-8). Let c be 4/(-22) - 46/q. Solve -5*h - c - 1 = 0 for h. -1 Suppose 6 = 3*s + 4*x, -s - 1 = -3*x - 3. Let t(q) be the first derivative of -q**4/4 - 5*q**3/3 + 2*q**2 + 3*q - 1. Let k be t(-6). Solve k = s*h + 3*h for h. 3 Let j(y) = -y**2 + 6*y + 4. Suppose -m + 4*n = 2, -n + 2*n - 8 = -m. Let q be j(m). Suppose r + 3*t + 1 = 0, 3 = -q*r + 5*r - t. Solve -r*v - 17 = -7 for v. -5 Let i(l) = l**2 - 2*l - 3. Let p be i(4). Solve -4*h = -p*h for h. 0 Suppose -4*v = 3*o - 9, -3*v + v + 2*o = -8. Suppose v = 4*h - 13. Solve 0 = l - 0*l - h for l. 4 Suppose 3 = m + 1. Suppose x + m*x - 6 = 0. Solve x*j - 6 = 2 for j. 4 Suppose -3 = 2*x - 9. Suppose 0 = 5*l, -2*l = 5*j - 3*l - 125. Let t be 10/(-4)*12/(-15). Solve x*w + t*w = -j for w. -5 Let u(w) = -w**2 - 7*w. Let q be 10/2 + -1 - 1. Suppose 6*g + 1 = -3*t + 2*g, -q*g = -15. Let v be u(t). Solve v = 2*x + 3 + 7 for x. -5 Let m(x) = -x**2 + 7*x - 3. Let c be m(6). Suppose -l + 2*v = 0, 0*v = 4*v. Solve l*i = i + c for i. -3 Let j = -99 - -101. Solve 2*s + j = 4*s for s. 1 Let p = 33 - 0. Suppose 0 = -5*c + 67 + p. Solve 2*z = -2*z - c for z. -5 Suppose -5*r + 10*r = 0. Suppose r = g - 5. Suppose 6*y - g*y - 3 = 0. Solve -1 = -u + y for u. 4 Let m be 2/(10/(-75) - 2/(-6)). Solve 2 = -3*p - m for p. -4 Let j(l) = l**2 - 5*l + 6. Let r be j(4). Let y(o) = -o**2 + 9*o + 11. Let k be y(10). Solve u - r - k = 0 for u. 3 Suppose 3*g + g = 0. Let z(s) = -s**2 + 5*s - 3. Let d be z(4). Let f = g + d. Solve -h - f = -0 for h. -1 Let l(h) = h + 14. Let b be l(-9). Suppose 3*d = -2*a + 4*a + 4, 0 = -b*d - 2*a + 12. Suppose d*w = -0*w + 20. Solve -q - w = -3*q for q. 5 Suppose 2*k = 6*k. Suppose 2*d - 2*t = 3 + 7, -3*d + t + 21 = k. Let m = 27 + -25. Solve 0 = -m*z + 2 + d for z. 5 Let l be (6/(-9))/(4/(-54)). Suppose -l*n = -6*n. Solve 3*s = -n*s - 12 for s. -4 Let z be ((-9)/9)/((-1)/5). Suppose -6 = -z*x - 1. Solve 4*h + 3 = -x for h. -1 Let f(d) = -d**3 - 11*d**2 - d - 8. Let n be f(-11). Let i(t) = t**3 + 4*t**2 - t - 5. Let z be i(-4). Let s be (-2 - z)/(n/(-36)). Solve 5*y - y = -s for y. -3 Let j(w) = -2*w + 25. Let d be j(8). Let n(s) = 2*s + 1. Let r be n(1). Solve -3 = r*m - d for m. 2 Suppose 0 = -4*l + h + 18, -4 = -l - l - 2*h. Suppose -5 = 3*k - 2*q, -q = -l*k + q - 4. Let f be (-2 + k/1)*0. Solve f*u = -3*u for u. 0 Let j = -13 - -16. Solve -5*c = j + 12 for c. -3 Suppose 2*z - 12 = -2*z. Let x(j) = z*j - 5*j - 2 + 3*j. Let q be x(4). Solve b = q*b - 1 for b. 1 Let o be 3 - 51/18 - 116/(-24). Let x = 15 + -9. Solve o*t = x*t for t. 0 Let w be (1/2)/(1/12). Suppose -5*i + w = -6*i. Let z be 18/3 - i/(-2). Solve -8 = z*u + 1 for u. -3 Let h be (-4 - (-98)/21)*30/4. Solve h + 0 = j for j. 5 Let q be (-58)/(-4) - 3/(-6). Suppose -2*p + q = -7*p - 5*u, 9 = 3*p - 3*u. Solve p*b - 6 = 3*b for b. -2 Let r be (-1)/(-2)*1*6. Suppose y + 8 = r*y. Solve y*n + 0 - 20 = 0 for n. 5 Let k = 30 + -26. Solve o = -o - k for o. -2 Let j(q) = -q**2 - 6*q + 10. Let m be j(-7). Suppose 4*y + 57 = 5*t + 5*y, 3*y + 27 = m*t. Solve -3*a = -4 - t for a. 5 Let n = 2 - 5. Let g = n - -8. Let u = 7 - g. Solve -u*t - 2 = -t for t. -2 Suppose -5*q + 9 = -4*o, 9*q + 17 = 14*q - 2*o. Solve k + q = -0*k for k. -5 Suppose 0*m + 4 = m, -4*q = 4*m - 16. Solve -f - 3 - 1 = q for f. -4 Suppose -19*b = -15*b. Solve -4*f + 0*f = b for f. 0 Let w be -10*(16/10)/(-4). Suppose -5*d - w*s = 26, 0 = -4*d - 3*s - 11 - 9. Let t be (3/d)/(3/(-10)). Solve -t*l = -4*l for l. 0 Let z(j) = 1 - 2*j**2 + 3*j + 1 + j**2 + 2. Let y be z(4). Solve k + 2*k + 6 = y for k. -2 Suppose 0 = q - 2*q. Suppose -3*d + t + 7 = q, d - 2*t = -2*d + 8. Suppose 3*b - d*f = 16 + 11, -2*b = -2*f - 18. Solve -k + b = 2*k for k. 3 Let g be (-56 - -60)*(1 - 2/8). Solve g = -3*k + 6 for k. 1 Let t = 13 - 4. Let i = -7 + t. Solve -15 = l + i*l for l. -5 Suppose -2*m + 12 = 2*m. Solve s - m = -0*s for s. 3 Let b(a) = a**2 - 6*a + 4. Let k be b(6). Solve -c = 3 - k for c. 1 Suppose -5*f = v - 47, -5*f + 10 = 5*v - 25. Suppose 4 = 4*k - 2*m - 10, 0 = -5*k + 5*m + f. Solve 6 = -k*j + 1 for j. -1 Suppose 5*w - 3*o = 25 - 4, -20 = -4*w + 4*o. So
{ "pile_set_name": "DM Mathematics" }
d 7? 7 Suppose -54*s - 458 = -2*j - 56*s, -4*j + 2*s = -910. Let u = -203 + j. What is the highest common divisor of u and 1? 1 Let p(v) = v - 14. Let h be p(17). Suppose -h*k - 27 = f - 4*f, 62 = 3*f + 4*k. What is the highest common divisor of f and 350? 14 Suppose -3*p + 4764 = -4*c, 6*c = 4*c + 12. What is the highest common divisor of p and 588? 84 Let k be 33 + (-1 + 2 - 1). Let m be ((-8)/(-12) - 6/9) + 6. Calculate the highest common divisor of m and k. 3 Suppose 544 = 47*m - 43*m + 3*v, 3*v = 3*m - 387. Calculate the greatest common factor of 779 and m. 19 Let q(n) = -15*n**2 - 18*n + 4. Let x(w) = 7*w**2 + 9*w - 2. Let f(i) = -6*q(i) - 11*x(i). Let r be f(4). What is the greatest common factor of r and 154? 22 Suppose 3*v - 8*v - 9 = 4*g, -4*v = 3*g + 8. Suppose -3*b + 132 = -0*b + 3*w, 0 = -3*b - g*w + 134. Calculate the highest common factor of 14 and b. 14 Let u(l) = 2*l**2 + 12*l + 8. Let k be u(-6). Suppose 0 = s - 6 + k. Let c be (s/(-3))/(7/168). Calculate the highest common factor of 2 and c. 2 Suppose 65*t = -70*t + 34965. Calculate the highest common factor of 644 and t. 7 Let w be (-82448)/(-39) - 346/6747. What is the highest common factor of 98 and w? 14 Suppose -30435 = -88*o + 13125. What is the greatest common factor of 144 and o? 9 Let t = 68 - 43. Suppose -1 = m + 2*u, -u + t = 2*m - 6*u. Suppose 0 = -c - m + 60. Calculate the highest common factor of 44 and c. 11 Suppose 0 = -5*j, s - 2*j + 3*j - 126 = 0. Calculate the greatest common factor of s and 1344. 42 Suppose 0 = -4*i - 5 + 13. Let y be (-4)/1 + i/((-6)/(-33)). Suppose -y*r + 68 = 12. Calculate the greatest common divisor of r and 4. 4 Suppose 0 = -3*q + 3*i - 75 + 372, 2*q + i - 213 = 0. Calculate the greatest common factor of 702 and q. 26 Let o be (804/(-18) - -6)/((-48)/180). Calculate the greatest common divisor of 55 and o. 5 Suppose 0 = -91*f - 55*f + 3066. What is the highest common divisor of 679 and f? 7 Let h = 155 - -1. Suppose 0 = -8*k + 4*k + h. Calculate the highest common divisor of 3 and k. 3 Suppose -4*y = 3*a - 57, -9*a + 1 = -10*a. Let v be (16/6)/(-4 - (-65)/y). Calculate the greatest common factor of v and 8. 8 Let d be -10*6/(-15)*-1 - -94. Suppose d = -89*p + 94*p. Calculate the highest common factor of p and 6. 6 Let h(a) = 3*a - 8. Let m(d) = 6*d - 1. Let b be m(1). Let g be h(b). Let q = -757 + 758. What is the greatest common divisor of g and q? 1 Let s = -207 + 212. Suppose -y - 5*n + 52 = -n, -s*y + 3*n + 329 = 0. Calculate the greatest common factor of 2 and y. 2 Suppose -4*u + 9*u = g - 259, 3*g + 2*u = 862. Suppose -2*w - 4*z + g = 0, 5*w - 5*z + 7*z = 718. Calculate the highest common factor of 648 and w. 72 Suppose -2*b + 4*j - 8 + 20 = 0, -4*b + 4*j + 12 = 0. Let a = 12 + b. Let y be 0/(a/(-3)) - -55. What is the highest common divisor of 22 and y? 11 Let w(y) = y**3 + 9*y**2 - 19*y + 36. Let h be w(-11). Let q(d) = -20*d + 64. Let l be q(h). Calculate the highest common factor of 188 and l. 4 Let z(q) = 2*q**3 + 5*q**2 + 23*q + 33. Let d be z(8). What is the greatest common divisor of d and 7? 7 Let f = 15516 + -15288. What is the highest common divisor of f and 5871? 57 Let k(n) = -2*n**3 - 20*n**2 + 64*n + 577. Let u be k(-12). Calculate the highest common divisor of 220 and u. 55 Let y = 1352 + 279. What is the greatest common divisor of 21 and y? 7 Suppose -3*m = -t + 1, -4*t + 9*m = 6*m - 4. Let j be (148/7)/((-20)/28 + t). Calculate the greatest common factor of 333 and j. 37 Suppose 0 = 10*v - 2311 - 29. Suppose -v*x = -228*x - 12. What is the highest common divisor of x and 26? 2 Let f(a) = a**3 - 61*a**2 + 195*a - 3. Let d be f(3). What is the greatest common factor of d and 670? 10 Let w(s) = 289 - 23*s**2 + 28*s - 213 + 33*s**2 + s**3. Let y be w(-4). Calculate the greatest common divisor of y and 96. 12 Suppose 0 = 3*q - 4*q - 8. Let z be 465/12 + (-2)/q. Let s = 5066 + -4832. Calculate the greatest common factor of s and z. 39 Let z = -692 + 691. Let i be ((-22)/(-385)*-7)/(z/135). What is the highest common divisor of i and 198? 18 Let j = 246 + -242. Suppose -23*h = -j*h - 2166. What is the highest common factor of 190 and h? 38 Let o(z) = -z + 28. Let m = -54 + 79. Suppose j = 3*k - 52, 2*k + 5*j = -m + 71. Let s be o(k). Calculate the greatest common factor of 20 and s. 10 Let o(r) = -64*r**3 - 11*r**2 - 13*r - 3. Let z be o(-1). What is the highest common divisor of 36 and z? 9 Suppose -138*m + 67160 = -16*m + 24*m. Calculate the highest common factor of 820 and m. 20 Let a(y) = 2*y**3 - 69*y**2 + 92*y - 15. Let b be a(34). Calculate the greatest common factor of 76 and b. 19 Let c = -11017 + 11080. Calculate the greatest common factor of 12411 and c. 63 Let p(f) = f**3 + 115*f**2 + 134*f + 2316. Let q be p(-114). What is the highest common divisor of q and 19692? 36 Let w = -23 + 50. Let c = -167 + 506. Suppose -21*i + 39 = -c. Calculate the greatest common divisor of w and i. 9 Let j = 10570 - 9990. Calculate the highest common divisor of 60 and j. 20 Suppose 2*a - 2000 = 1240. What is the greatest common divisor of a and 20? 20 Suppose -281216*p + 527 = -281199*p. Calculate the greatest common factor of 6541 and p. 31 Suppose 5*g = -w + 183, -5*w + 0*w - g = -843. Suppose 0 = -2*x - w + 760. What is the highest common divisor of 74 and x? 74 Let c = 6810 - 5849. What is the greatest common divisor of 248 and c? 31 Let o(i) = -9*i**3 + 2*i**2 + 64*i + 189. Let n be o(-3). What is the greatest common divisor of 731 and n? 43 Let o = -33941 - -33992. What is the greatest common divisor of 11679 and o? 51 Suppose -c + 4 = w - 5, 5*w - 38 = 2*c. Suppose -4 = -w*m + 52. What is the greatest common factor of m and 28? 7 Suppose 0 = -2*z - 5*o + 3330, 2*o + 9379 = 4*z + 2671. Calculate the highest common factor of 100 and z. 25 Let p = -94 + 96. Suppose -2*i = -n - 2*n + 212, -i - 141 = -p*n. Calculate the highest common divisor of 40 and n. 10 Let p = -658 + 196. Let o be (p/4)/(42/(-56)). What is the greatest common factor of 70 and o? 14 Suppose 0 = -3*t + 12, -5*x = -t - 8 - 48. Calculate the greatest common factor of 4044 and x. 12 Let d = -26 - -87. Let b = 98 - d. Let v = 117 - 43. What is the highest common factor of v and b? 37 Let k be (11 - 9 - 9)*-6*1. Let o = -2 + k. Calculate the highest common divisor of o and 440. 40 Let b(i) = i - 1. Let r be b(6). Let m be 31 - 39 - -10 - (1 - 2/2). Suppose 54 = m*j + 5*f + 7, f = -r. What is the highest common divisor of 90 and j? 18 Let a be (-202 + (-1 - 1))*4/(-16). Calculate the greatest common factor of 187 and a. 17 Let o be (-11 - (-12 - -145))*(-9)/12. Let h(k) = 2*k - 3. Let i be h(4). Suppose -68 = -i*n - 8. What is the highest common divisor of n and o? 12 Let m(o) = o - 17 - 3*o + 7 - 18. Let k be m(-14). Suppose -4*s + 281 + 335 = k. What is the highest common factor of 14 and s? 14 Let f(l) be the first derivative of 2*l**3/3 + 59*l**2 + 51*l - 315. Let k be f(-59). Let q be (-1)/3 + 52/3. What is the greatest common factor of q and k? 17 Let x = 135 + -92. Let m = x + 7. Suppose 35 = 5*n - m. Calculate the highest common factor of 85 and n. 17 Let v = 17572 - 17514. What is the highest common divisor of v and 27782? 58 Let g = 6092 - 5085. What is the highest common factor of 159 and g? 53 Let g be (2/4*6)/((-1011)/(-36733)). What is the greatest common factor of 654 and g? 109 Let m be 13 + (-942)/72 - 3853/(-12). Calculate the greatest common factor of m and 9. 3 Let h be (-291)/(-42) - (-10)/140. Suppose -5*t + 3472 = 4*m, -3*t + 11*m + 2096 = h*m. Calculate the highest common factor of t and 24. 24 Suppose -3 = -2*p + 3. Suppose 0*l + 50 = -5*l + x, 3*l = -p*x - 48. Let d(z) = -z + 25. Let o be d(l). What is the greatest common factor of 180 and o? 36 Suppose -5*x + 3*f + 3133 = -f, -5*f - 1872 = -3*x. Suppose -2*i = -41*o + 39*o - 98, -216 = -4*i - 6*o. What is the greatest common divisor of x and i? 17 Suppose q + 7*a - 102 = 0, -5*q - 51*a + 438 = -52*a. Calculate the greatest common factor of 187 and q. 11 Let f be 8 + (2 - -4 - 5). Suppose y + 3*a - 9 = 2*a, 6 = 2*a. Calculate the highest common divisor of f and y. 3 Let n be (0 + 2)*882060/122. What is the highest common factor of n and 120? 60 Suppose 0 = 148*h - 65857 - 6734
{ "pile_set_name": "DM Mathematics" }
ber? True Is 1552909 composite? False Is 1131479 prime? True Is 451551 a prime number? False Is 770909 a prime number? True Is 1264183 prime? False Is 7157 a prime number? False Is 25727 prime? False Is 1411 prime? False Is 3907 a prime number? True Is 13109 a prime number? True Is 409723 a prime number? True Is 3191 a composite number? False Is 227663 composite? False Is 6637 composite? False Is 15187 prime? True Is 15991 a composite number? False Is 3168493 a composite number? False Is 15441 a prime number? False Is 13963 composite? False Is 1727 prime? False Is 3967 prime? True Is 1233521 composite? True Is 21059 prime? True Is 1070197 a prime number? True Is 608819 a composite number? False Is 8571 prime? False Is 619363 composite? False Is 59809 composite? False Is 72533 composite? False Is 102247 prime? False Is 2741 prime? True Is 19207 a prime number? True Is 12047 a composite number? True Is 33997 a composite number? False Is 24281 a composite number? False Is 3749 a prime number? False Is 52999 a prime number? True Is 35221 composite? False Is 991 a prime number? True Is 11621 composite? False Is 43477 a composite number? True Is 3547 a prime number? True Is 1267 a composite number? True Is 25837 a composite number? True Is 4751 prime? True Is 169801 a prime number? False Is 101831 a prime number? False Is 4068283 prime? True Is 61069 prime? False Is 13397 prime? True Is 211711 a prime number? True Is 43361 composite? True Is 275306 composite? True Is 163501 a composite number? True Is 10753 a prime number? True Is 218231 prime? False Is 8301 a prime number? False Is 802291 prime? False Is 431221 a composite number? True Is 1903 composite? True Is 26653 prime? False Is 125591 composite? False Is 574207 composite? True Is 205651 composite? False Is 6521 a prime number? True Is 11923 a composite number? False Is 70937 a prime number? True Is 24337 prime? True Is 398081 a composite number? True Is 942109 a composite number? 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True Is 14173 a composite number? False Is 143137 prime? True Is 367 composite? False Is 256687 a composite number? False Is 586 a composite number? True Is 1039127 prime? True Is 450343 a composite number? False Is 11579 composite? False Is 977923 prime? True Is 7 composite? False Is 947 a composite number? False Is 893153 a prime number? False Is 13649 composite? False Is 13343 prime? False Is 74243 a composite number? True Is 64703 a prime number? False Is 17617 prime? False Is 823477 prime? False Is 552571 prime? False Is 2641319 a prime number? False Is 36903 a prime number? False Is 84895 prime? False Is 227037 a prime number? False Is 60803 a composite number? True Is 32363 prime? True Is 335321 a prime number? False Is 38261 prime? True Is 39089 a composite number? False Is 106909 a prime number? False Is 15547 a composite number? True Is 85193 a composite number? False Is 599921 a prime number? False Is 697673 a prime number? True Is 143551 a composite number? False Is 87869 a composite number? False Is 1177 a composite number? True Is 170119 composite? True Is 1073 a prime number? False Is 21237 composite? True Is 1355021 a composite number? False Is 37951 a prime number? True Is 4291 composite? True Is 25147 composite? False Is 2813 a prime number? False Is 5437 a prime number? True Is 4699 a composite number? True Is 942079 a composite number? False Is 237851 a composite number? False Is 452131 composite? False Is 21059 composite? False Is 10097 a composite number? True Is 87137 a prime number? False Is 7811 a composite number? True Is 79103 a prime number? True Is 791599 a prime number? True Is 273253 a composite number? False Is 13307 composite? True Is 17519 prime? True Is 1259 composite? False Is 55985 prime? False Is 14699 composite? False Is 34793 a composite number? True Is 8153 composite? True Is 161957 prime? True Is 242365 a composite number? True Is 286129 a prime number? True Is 92465 a composite number? 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False Is 2275303 a prime number? True Is 25067 prime? False Is 424007 composite? False Is 809549 a prime number? False Is 18191 composite? False Is 1357 a prime number? False Is 14101 prime? False Is 20499 prime? False Is 2293421 a composite number? True Is 6737 a prime number? True Is 921 composite? True Is 8999 a composi
{ "pile_set_name": "DM Mathematics" }
5*m - 40 for r. 5 Solve -10088*s = 5*g - 10084*s + 44, s = 5*g - 36 for g. 4 Solve -2*s = p - 36, -3282153 = 11*p + s - 3282213 for p. 4 Solve 4 = -i - 5*a, -1961272*i - 5 = -1961273*i + 4*a - 0*a for i. 1 Solve 22*t + 3*t = 7*f + 22*t + 41, -3*f + 3*t - 3*t + 3*t = 57 for f. 4 Solve 3*u + 445 - 455 = 2*i, -15 = 3*i for u. 0 Solve -3*t - 9 = 2*g, -1204*t + 1199*t = 2*g + 15 for g. 0 Solve 111*z + 7 = r - 5*r + 95*z - 9, 19 = -3*r - 5*z for r. -8 Solve -15937*m - s + 1 = -15932*m, 5*m - m + 2*s - 9 = m for m. -1 Solve -4*y - 5*m + 377 = 750 - 391, -3*y = -2*m + 21 for y. -3 Solve -2*j + 8*v = -62, 14 = 2*j + 26*v - 28*v for j. -1 Solve -50 = -5*l, -92*l + 88*l = -88*q - 97 - 119 for q. -2 Solve -136 + 892 = -9*s, 8*j - 4*s - 333 = 11 for j. 1 Solve -4*x - 70 = 5*p, 37876*x = 37873*x for p. -14 Solve 0 = -5*l + z + 12, l - 17600*z - 34 = -17584*z for l. 2 Solve -5*y + 14*q + 55 = 3*y + y + 9*q, 4*q = -8 for y. 5 Solve -32*y = 5*q + 176, -y - 17970 = -2*q - 17999 for y. -3 Solve -6*l = 2*d - 20, -2*l - 4176 = -3*d - 4201 for d. -5 Solve -2*c = 33*x - 68025 + 68288, -3*c = -3*x + 132 for c. -49 Solve 2*v - 1829 = 16*t - 1767, 16 = -3*t - 4*v for t. -4 Solve -669 = 3*i + 3*o - 645, -4*i = -4*o + 16 for i. -6 Solve d - 4*v - 65 = 0, 10*d - 18*d + 4*v + 2 = -18 - 21 - 3 for d. -3 Solve -3*l = 3*n - 0*l - 48, 8*n - 240 = -14*n + 7*n + 4*l for n. 16 Solve -4*l = -7*b + 419, 1530*l = -b + 1521*l - 926 for b. 1 Solve 64 = 39*x - 3*d + 38 - 88, 4*d - 4 = 0 for x. 3 Solve -31*t = 2*g - 345, 8*t - 92 = -10*g + 8*g for g. 2 Solve -6*t - 748 = -22*n - 7*t, -4*n + t = -t - 136 for n. 34 Solve 4*v - 100 = 8*c + 48, 115*v - 3*c + 222 = 121*v for v. 37 Solve -126*z + 60*z + 71*z - 4*o = 160, 3*z + 138 = -3*o + 45 for z. 4 Solve -i - 1101 + 1093 = 5*m, 3*m + 16 = 5*i for i. 2 Solve 4*i = 10438179*n - 10438177*n - 18, -4*i + 2*i + 3 = -5*n for i. -6 Solve -k - 2*l - 3*l + 16151 = 16176, -2*k + 10 = -5*l for k. -5 Solve 2*c + 53 = 3*t, -5*c = 11*t - 5615 + 5359 for c. 5 Solve 117 = -3*o, 147*d = 149*d - 3*o - 111 for d. -3 Solve 57 = -273*b + 277*b - 19*k + 8*k, -106 = -6*b - 4*k for b. 17 Solve 53 = 79998*q - 79993*q + j, -5*j = -3*q + 15 for q. 10 Solve -4*r + 28 = 2*f, 108 = 441425*r - 441421*r + 10*f for r. 2 Solve -3*k + 15 = b, -19*k - 29*b + 23*b + 115 = 4*k - 14*b for k. 5 Solve 2 = 197183*t - 197182*t, -7*t + 149 = 3*b - 3*t for b. 47 Solve 21*c - 17*c - 3*b + 5*b + 3*b = 29, -118 = 2*c - 24*b for c. 1 Solve 0 = 5*b - 2*t + 23, 1935*t - 1940*t = 16*b + 28 for b. -3 Solve -1555*t + 1551*t = -24*a - 176, 0 = 60*a + 180 for t. 26 Solve 8*u = 2*p + 3*u - 1176 + 973, 425 = -p - 11*u for p. 4 Solve -10*v - 5*g = -735, -5*g = -540*v + 536*v + 259 for v. 71 Solve 5*u - 2*d - 109 = 0, 4*u + 6*u + 11*u - d + 19 = 22*u for u. 21 Solve -587*s + 592*s = -1 + 11, 285 = -9*a + 5*s - 2*s for a. -31 Solve -5*t + 70 = -8*v + 18*v, 11*t - 5*v + 26 = 12*t for t. 6 Solve -886*m + 70 = 78*y - 890*m, 5*y - 10 = -m - 3 for y. 1 Solve 976*s + 24 = 979*s, -7*t - 2*s + 3 + 18 = -2*t for t. 1 Solve 882*u - 2645 = -2*c + 3*c, -156*c + 80*c = u - 79*c for u. 3 Solve p = 18*z + 1406, 301420*z - 224 = 5*p + 301423*z for p. 2 Solve 4600*w - 4601*w + 282 = -19*x, w + 39 = 36 for x. -15 Solve 7*q + 45 = 2*q, -4*q + 6*q + 609 = -141*s + 3*q - 6*q for s. -4 Solve 2*r - 4*f - 77 + 66 = -31, -4*f + 46 = -15*r for r. -2 Solve 0 = 3*z - 6*k + 5*k + 4*k - 60, -z + k = z - 40 for z. 20 Solve 2*d - i - 83 = 0, 0 = -1173*d + 1177*d - i - 167 for d. 42 Solve -w = -4152922*v + 4152913*v - 33, -4*w - v + 21 = 0 for w. 6 Solve -4*a + 128 = 38*z - 34*z, -7*a - z = -212 for a. 30 Solve -r - 57*q - 25 = -51*q, -1850 = -5*r + 5*q - 1835 for r. -1 Solve 115*z - 9 = -a + 116*z, -z - 19 = -6*a for a. 2 Solve 169*d + 192*d - 2*q = 376*d + 80, q - 45 = 5*d - 2*q for d. -6 Solve 5*c + 4*a = -217, -11*c + 3*c + 591 = -11*c - 12*a for c. -5 Solve 16*h - 14*h - 7*h = 4*g + 81, 3*g - h - 20 = 0 for g. 1 Solve 437 = 5*x - r - 0*r + 426, 0 = 3*r + r - 16 for x. 3 Solve 4*p = -5*z + 50, 4*z - 3*p = -6*z + 128 - 83 for z. 6 Solve -8*f - 122*w = -127*w + 259, 4*f - 668 = -12*w for f. 2 Solve -5*q + 15*b - 21 = -q, 0 = 4*b - 235 + 239 for q. -9 Solve 149887*n - 149896*n + 2*i - 74 = 0, 4*n = 2*i - 34 for n. -8 Solve 4*h - 2*h - 11*q - 49 = h, -7*h + 11*h + 5*q = 0 for h. 5 Solve -1080*u + 1050*u = -5*b - 260, b = -2*u - 12 for u. 5 Solve -5*i - 2*i - 163 = -5*o - 113, -2*i = 13*o - 29 for o. 3 Solve 4*f - 1852 = 92*w, 12*w - 4*w - 6*w - 5*f + 55 = 0 for w. -20 Solve -772*f - 3*s = -770*f - 31, -7*s + 27 = -f for f. 8 Solve -68*t + 67*t - 54*a = -187, 3*t - 63 = 4*a for t. 25 Solve -2*q - 40 + 48 = 3*w, 3*q - 11 = -4*w for q. 1 Solve 2*m + 22 = -5*w, -4*m + w = 43*w + 15*w + 37*w - 18*w + 440 for m. 4 Solve 0 = 4*q - 7*j - 8, -q + 6472 = 2*j + 6485 for q. -5 Solve -4*f = -7*n - 71, -1823*f + 3635*f + n = 1817*f - 19 for f. 2 Solve -13*h + 3*i - 11154 = -11239, -3*i - 21 = 3*h for h. 4 Solve -26*j + 27*j + 11 = -2*o, -3*o + 7*o = -186*j + 898 for j. 5 Solve 84 = -b + 4*i, -115*b = -116*b - 5*i + 70 + 44 for b. 4 Solve -31991*l + 31996*l - 51 = 3*x, -16*x - 50 = -2*l for l. 9 Solve 6*v - 346 = -4*i, 309*i = 304*i + 4*v - 269 for i. -5 Solve 5439*u + 39*p = 5436*u - 102, 2*u = -0*p - 3*p - 22 for u. -8 Solve -5*m - 26 = -2*j + 23 - 64, 13*m + j = 8 for m. 1 Solve -1576*v + p + 22 = -1579*v, -4*p - 4 = -2*v for v. -6 Solve 0 = 5*k - 25, 6*m - 11*m + 27 - 66 + 24 = 3*k for m. -6 Solve -13*u = 1574*s - 1576*s - 75, -4*s - 5*u = 181 for s. -44 Solve -2*f - 193 - 337 = -15*r + 166, -4*f = 12 for r. 46 Solve -4*m + 0*m + 61 = -20*v + 5, 0 = m + v + 10 for m. -6 Solve 0 = 3*i + 544*u - 543*u - 20, 35*i - 3*u - 37 = -u + 87 for i. 4 Solve n = -67*q - 397, q - 2*q + 54*n - 17 = 51*n + 4 for q. -6 Solve 9*y - 5*y - 2*y + 5*c = 3*y, 2*y + 20*c = 0 for y. 0 Solve 49 = 25*a - 26, 4 = 6*p - 3*a - 15 - 2 for p. 5 Solve -4*s + 382 = -5*a + 127, -2*s - 204 = -120*a + 124*a for a. -51 Solve -135 = -k + 2*q - 371 + 130 + 102, 0 = 17*k + 3*q - 80 for k. 4 Solve 2*b + 10 = 0, -4*b + 2412 - 2852 = 15*r for r. -28 Solve 17*w = -3*v + 23*w - 27, 25*v - 4*w = -87 for v. -3 Solve -4*j - 9*d = -114, -217*j + 3*d = -218*j + 27 for j. 33 Solve c = 2*h - h + 13, 0 = -17372*h + 17372*h - 3*c for h. -13 Solve 5*j = 5*x - 75 + 10, -42*j - x = 546 for j. -13 Solve 4*s - 5*g - 131 = 0, 10*s - 4 = 8*s + 6*s + 40*g for s. 29 Solve -4*m + 0*j - 4*j + 28 = 0, 58342*m - 58345*m - 4*j = -23 for m. 5 Solve 3*r - 593 = i - 622, 5*r = -9*i - 27 for i. 2 Solve 131*w - 53*j = 133*w - 59, 0*w + j = -4*w - 0*j + 13 for w. 3 Solve t + 34 = 3*x, 103101 = -125*t + 102601 for x. 10 Solve -2*s - 422*l + 425*l = -12, -2*s - 3*l + 12 = -0*l for s. 6 Solve 15*f - 465 = 0, -5*z + 140 = -3538*f + 3543*f for z. -3 Solve -5*n + n - 126 = -2*n - 3*j, -63 = n - j for n. -63 Solve 0*i + i + 28 - 24 = 0, -754*v + 79*v + 5*i + 2175 - 5530 = 0 for v. -5 Solve 0 = d - 65*i + 70*i + 5, 0 = 14*i for d. -5 Solve 2*l = -2*x + 18, -3*x + 10317 = 5*l + 10298 for x. 13 Solve 0 = 2*t - 3*g - 17, 5*t + 26 = -5*g - 44 for t. -5 Solve -7*r = 4*o - 126, 166*r + 150 = 171*r + 5*o for r. 2 Solve 1101 = -99*o - 4*f, 4*o - 4*f + 206 = -204 + 378 for o. -11 Solve 0 = -3*g, 0 = 3*h + 2*g + 77802 - 77784 for h. -6 Solve 3*z - 12 + 30 = -1291*t + 1288*t, -41 = -4*t + 61*z for t. -5 Solve -l + 3*g + 6 = -136, -g - 216 + 177 = -2*l for l. -5 Solve 114*j - 6*k + 5*k - 142 = 119*j, -3*j + 4*k = 76 for j. -28 Solve -6 = 3*o - 5*o, 4*j + 3*o + o + 38 + 17 = o for j. -16 Solve -c - 2*a - 13 = 4*c, -6*c - 17 = 10*a + 10*a - 19*a for c. -3 Solve -h - 94 = -12*b, 6*h - 9*b + 11*b + 3*b + 889 = 248 for h. -106 Solve 107*x = 105*x - 22, -30*o - 2*x = -32 + 114 for o. -2 Solve -2*h - 7174 = -4*p - 6948, -5*h = -2*p + 581 for p. -2 Solve 3*s = w - s + 14, 31*w - 80745*s + 80742*s + 71 = 0 for w. -2 Solve -5847*a + 5850*a + 66 = 6*r - 5*r, 88 = -r - 4*a for r. 0 Solve 4*k - 1097*n = -1098*n - 22, -8*k = -13*k - 9*n - 12 for k. -6 Solve -37*z + 38*z + 31*w + 522 = 0, -3*z - 2*w = -11 + 30 for z. 5 Solve -o = -5*y - 21, -3*o - 14053*y + 68 = -14069*y for o. -4 Solve 2*j - 52 = 20*o, -j - 14318*o - 14 = -14320*o for j. -24 Solve -a - 4 + 1 = -2*j, 3524*a - 18 = 3528*a - 5*j for a. -7 Solve 4*p - 14*x + 43*x - 16 = 25*x, -2*x
{ "pile_set_name": "DM Mathematics" }
2*m + 5. Let g = -80 - -79.8. Let z = -4 + 3.6. What is the nearest to g in z, m, -1/4? -1/4 Let v = -20082.461 + 20069. Let r = v - -0.161. Let o = r - -13. What is the nearest to -1/3 in o, 2/5, -1/4? o Let m = -133 - -1199/9. Let q(f) = f**2 - 15*f - 10. Let l be q(6). Let k be (-6)/l*(14 + -10). Which is the nearest to 0? (a) -5 (b) k (c) m c Let f = -628.1 - -628. What is the closest to f in 1/7, -2, -0.4, -8? 1/7 Let y = -514 + 513. Which is the closest to -0.1? (a) y (b) -0.3 (c) 0.4 (d) 5/3 b Let x = -11 - -16. Let g be 9089/31588 + (-4)/106. Which is the closest to 1? (a) g (b) 0.02 (c) x a Let t = -2.1 + 7.1. Let q = 3 + -2. Let s = -35 + 141/4. Which is the nearest to q? (a) s (b) t (c) 1 c Suppose -w - 65 = -4*n, 4*w = 2*n - 0*w - 22. Let d = n + -12. Let h be (-15)/(-24)*2/10. Which is the nearest to 0? (a) d (b) 2 (c) h c Let a = -4.8 - 0.2. Suppose i = -4*i - 5. Let o = -56 - -506/9. What is the closest to 0.1 in o, i, a? o Let y be ((-1)/(-10))/((-8)/(-30)). Let j(o) = -o**3 + 19*o**2 + 41*o - 26. Let q be j(21). Let k = q + 187/4. What is the closest to k in y, -1/4, 3/4? -1/4 Let y = -452/403 - -30/31. Which is the closest to -1/3? (a) 3 (b) 0 (c) y c Let g = -64 - -57.4. Let r = -11 - -4. Let d = r - g. What is the closest to 1 in d, -2/9, -0.3? -2/9 Suppose -2*q + 15 = -7*q. Let i = 319 - 319.1. Let p = 1.3 - -0.7. Which is the closest to i? (a) p (b) -4 (c) q a Suppose -10 = 10*n + 20. What is the closest to 0.2 in n, -2/9, 1, 8? -2/9 Let n = 61.77 + -61.67. Let v be 4/6 + (-10)/(-3). Let y = 2 + -1. Which is the nearest to y? (a) n (b) 5 (c) v a Let d = -419 + 419.1. What is the nearest to d in -0.72, -1/2, -3? -1/2 Let u = 3.2 + -0.2. Let o = 31/763 - 20/109. Which is the closest to u? (a) -1 (b) 1/4 (c) o b Let y be 2 + 0 - 13/6. Suppose z + 183 - 178 = 0. Which is the closest to y? (a) -5/3 (b) z (c) -4 a Let s be 56*3/6 - 4. Let d be 4/6*(-18)/s. What is the nearest to d in -2, -3, 4/5? 4/5 Let k = 20/7 - 67/21. Let j = -3 - -3. What is the nearest to -3/5 in j, -4, k? k Let b be (-312)/(-30) - (6 - 2). Let r = 6 - b. Let z be 1/(4/12*3). What is the closest to r in z, 3, 0.1? 0.1 Let u be -2 + 1 + (-17)/(-6). Let a = 3/2 - u. Let r = -0.8 + 2.8. What is the nearest to r in a, 4, 0.4? 0.4 Suppose 3*g + 0*g = -2*y - 12, 2*g = -8. Suppose d + y = -5. Let n = -1155/4 + 288. Which is the nearest to 1/4? (a) -0.3 (b) d (c) n a Let x = 3052 - 15343/5. Let r = -17 - x. Which is the nearest to r? (a) -2/13 (b) 2 (c) -3 a Let y = -295 + 296. Which is the nearest to y? (a) 0.2 (b) 0 (c) 5 a Let g(z) = -z**3 + 21*z**2 - 18*z - 42. Let d be g(20). Which is the closest to 1? (a) d (b) -34 (c) 2 c Let n(j) be the second derivative of -j**5/10 - 23*j**4/12 - 2*j**3 - 4*j**2 + 29*j. Let s be n(-11). Which is the nearest to 3? (a) 1 (b) s (c) 2 b Let q be (6*1/(-90))/((-2)/5). Let o = 2 - 3. Which is the nearest to o? (a) 1/4 (b) 0 (c) q b Let u = -254 + 249. Let v = -9 - -13. What is the closest to -1/4 in u, 2/19, v? 2/19 Let w be (-29)/(-35) + (1 - (-56)/(-40)). Which is the closest to -4? (a) -2/5 (b) -0.2 (c) w a Suppose 5*f - f = 152. Let m = -33 + f. Which is the nearest to 3? (a) -1/7 (b) m (c) -3 b Let a be ((-32)/48)/((-2)/(-3)). Let v = 0.051 + 0.149. What is the closest to a in 0, -0.4, v? -0.4 Let h(r) be the third derivative of -5*r**4/24 - 11*r**3/3 + 29*r**2. Let k be h(-5). Which is the closest to k? (a) 4 (b) -3 (c) 2/11 a Let n = 2 + -1.8. Let o = 126 + -124. Which is the closest to -0.4? (a) 0.1 (b) n (c) o a Suppose 2*j - p - 2 = 2, 0 = -j + 5*p + 11. Let u = 506 - 505.5. Which is the nearest to j? (a) -2/11 (b) 2 (c) u c Suppose l - 5*g - 21 = -2*l, -3*l + 3*g + 15 = 0. Let z be (5 - 1) + -4 + -2. Which is the nearest to -1? (a) l (b) z (c) -15 b Let o = 0.204 - -13.496. Let w = o - 13.5. Which is the nearest to -0.1? (a) w (b) -1 (c) 4 a Let c = -0.04 + -0.16. Let a = -0.0648 - -0.4648. Let d = -6 - -4. What is the closest to d in c, 2/11, a? c Let z(g) = -2*g**2 + g + 1. Let p be z(-1). Let y = -99.1 - -103.1. What is the nearest to -3 in y, -1, p? p Let i be 10/40 + (-34)/(-56). Which is the nearest to i? (a) 2/23 (b) -2 (c) -1/7 a Let v = -10.4 + 11. Let f = 0.6 - v. Let o be ((-4)/6)/(-3 + 15/3). Which is the nearest to f? (a) -1 (b) -0.4 (c) o c Let h = 0.1 - 0.5. Let w = 19 + -22. Let a(d) = -4*d - 6. Let l be a(w). What is the nearest to l in -2, h, -3? h Let h = -50.7 - -53. Let r = h - -1.7. What is the closest to 1 in -0.3, -1/2, r? -0.3 Let q = -1 + 1. Let m = 462 + -458. Which is the closest to 0.1? (a) 6 (b) m (c) q c Let r be (48/36 - 0/(-1)) + 0. What is the nearest to 0 in 5, r, -2/15, 4? -2/15 Let n = -2/33 + 89/924. Let o = -9/56 + n. What is the nearest to -1 in o, 5, 3? o Let f = 3.04 + -2.99. Let y = 1.5 + -2. What is the nearest to 1 in y, 0.4, f? 0.4 Let z = 20.7 + -21.7. Suppose u - 29 = 5*a + 195, -4*u + 16 = 0. Let r = a + 91/2. What is the nearest to z in r, 2, 1? 1 Let i = -0.012 - 0.098. Which is the closest to -1/4? (a) -2/13 (b) -5 (c) i a Suppose -4*r = 4*w - 0*w + 12, 0 = 2*w - 4*r + 12. Let z = -45.1 - -44. Which is the closest to -1? (a) w (b) z (c) -0.2 b Let p = 124 + -127. What is the closest to -2 in p, 4/7, 6? p Let f = -1/38 + 41/114. What is the nearest to -2/5 in -2, -7, f? f Let w = 1.1 - -3.9. Let k = w - 5. Suppose 0 = 3*u - 5*u - 4. What is the nearest to 0 in u, 1, k? k Let k = 0.06 + -5.06. Let y = 19.2 - 22. Let o = 0.2 - y. What is the nearest to 0.1 in k, o, 0? 0 Let k = -491 - -496. Which is the closest to -1/4? (a) k (b) -4/9 (c) 6/5 (d) -0.12 d Let d be (-4 - 12/(-18)) + 3. Let o be ((-8)/42)/(5 - (-16)/(-3)). Suppose 5*u = 3*q + 19, q = 2*u - 6 - 1. Which is the nearest to o? (a) d (b) -1 (c) u a Let j = -50.67 - -50.5. What is the nearest to 1 in 1, -3, j? 1 Suppose -t - 18 = -4*n, -3*t + 2*n - 19 = -3*n. Suppose 0 = x - 5, -4*p - t*x + 10 = -20. Let j be 10/(-20) + -2 + 2. What is the nearest to 0.1 in j, -3, p? j Let z = 22.2 - 25.2. Let q = 18.65 + 0.35. What is the nearest to q in z, -1, -4? -1 Suppose -17 = 7*u + 11. Which is the nearest to 1/4? (a) -5 (b) -7 (c) u c Let z = 0.523 - 0.223. What is the closest to -0.2 in -2, -0.3, z, -4? -0.3 Let m be (-4)/14 - ((-1100)/812 - -1). Let k = 23/87 + m. What is the closest to 2 in 3, -3/8, k? 3 Let p = 1098 + -1070.51. Let h = p + -1.09. Let o = h + -26. Which is the closest to 1/2? (a) 6 (b) o (c) -2 b Let p = 646 + -645.8. Let x = 11/2 - 6. Which is the closest to p? (a) x (b) -1 (c) -2/9 c Suppose -3*r = 3*f - 2*f + 10, -5*r - 14 = 3*f. Suppose -f*p - 3*o = -5*o + 8, -p = -5*o + 8. Which is the nearest to 1? (a) p (b) 0.5 (c) 3 b Let k = -6.9 + 7.4. Let o = 7 + -7. Let t = -4 - -9. Which is the closest to o? (a) 4 (b) k (c) t b Let p = -5 + 5.4. Let s = -12 + 101. Let o = -83 + s. What is the closest to o in 4, -3/7, p? 4 Suppose 16*v = -9 + 57. What is the nearest to -0.3 in v, -1/4, 0.4, 2? -1/4 Let d = 152 + -156. Which is the nearest to 1/9? (a) -1 (b) 1 (c) d b Let y = -1/18607 + 59784304/241891. Let m = 247 - y. What is the closest to 0 in 0.4, -0.1, m? -0.1 Let h = 41.9 - 44.9. Which is the closest to 2/3? (a) -0.2 (b) h (c) -12 a Let v = 0.6 - 0.4. Suppose -76*f + 12 = -79*f. Let p = 1 + -1.1. Which is the closest to p? (a) 2 (b) v (c) f b Let z = -400 + 3596/9. Which is the closest to -0.1? (a) -0.4 (b) -5 (c) z a Let g = -2 - -2.1. Suppose -48 = -10*o - 38. What is the closest to g in -0.2, o, -0.3? -0.2 Let z = -6/5 - -7/5. What is the closest to z in -2/5, 1/3, 1/5? 1/5 Let h = -1196.88 + 1222. Let u = h - 25. Let r = 0.12 - u. Which is the closest to -1? (a) r (b) 2 (c) 6 a Suppose 3*w = 6*w - 12. Let g = -86 - -87. Which is the nearest to g? (a) 1 (b) 0.3 (c) w a Let o = 774 + -773.9. Which is the nearest to 0.4? (a) 11/7 (b) 3 (c) o c Let i = 2 - 1.8. Let w = -1.2 + i. Let a = -89 - -84. What is the nearest to w in 4, 0.4, a? 0.4 Suppose 3*i + 13 = 4*h, 2*i + 10 - 2 = 2*h. Let l = -0.293 - 0.207. Which is the nearest to -3/2? (a) -1/5 (b) l (c) h b Let k = 19324/9 + -6442/3. Let n = 3.6 - 0.6. Let i = n + -2.5. Which is the closest to -0.1? (a) k (b) i
{ "pile_set_name": "DM Mathematics" }
is bigger: -88555 or -2? -2 Which is smaller: -47330 or 2.9? -47330 Which is bigger: -16/157 or 0? 0 Which is bigger: 9 or 88092? 88092 Is 43183 at least 43183? True Is -20934 at most -20926? True Which is bigger: -619/2667 or 1? 1 Which is bigger: 3 or 443/145? 443/145 Is -1/999056 less than 1? True Which is smaller: -2/3 or 0.3242? -2/3 Is -151291/8 equal to -18912? False Is 3105 at most 2980? False Is -17/5234 at least as big as 1? False Is 310954 equal to 310954? True Is 24 at least 1733/76? True Which is greater: -1/117024 or 0? 0 Is -2463665/4 > -615917? True Which is bigger: 0 or -97086? 0 Is 11573696 less than 11573696? False Is 17738/33 bigger than 539? False Which is greater: -255 or 2/183? 2/183 Is -28653 at most -28617? True Which is smaller: 939 or 41/2? 41/2 Is -46630/7 greater than -6661? False Is 503604 >= 503604? True Does 21 = -1621? False Is 2798376 less than 2798375? False Which is greater: -0.2 or 81954? 81954 Is -252493/3 at least as big as -84164? False Which is smaller: -45887 or -45951? -45951 Is 64464 equal to 64458? False Is -16521/5 at least as big as -3304? False Is -146418 <= -146422? False Which is smaller: -0.3 or -54979? -54979 Are 200167/2 and 100085 nonequal? True Are -105.3 and 80 equal? False Are -1/198009 and 1 nonequal? True Is 11/13724 <= -1? False Are 889 and 114.5 nonequal? True Is -949029 not equal to -949029? False Is 12/293 != -2/5? True Which is greater: -0.3 or 1338270? 1338270 Does -2 = -2474/3665? False Which is smaller: 0 or 1/44447? 0 Do 1002385 and 1002382 have the same value? False Is 1 equal to 2/584741? False Is -491452 at most as big as -491452? True Is 1265 equal to 1248? False Which is bigger: 2321 or 1266? 2321 Which is bigger: -16474/185 or -89? -89 Which is greater: -1 or -5/81552? -5/81552 Which is bigger: 7480 or 7108? 7480 Which is bigger: 1 or -2/922307? 1 Is 42 smaller than -2/13179? False Which is greater: 76849/4 or 4/5? 76849/4 Is -9325698 < -9325698? False Is 8/293903 at least as big as 1? False Are 31434 and 31434 non-equal? False Is -302/3593 greater than -1? True Is -6251 bigger than -6141? False Which is smaller: -2/3035971 or 1? -2/3035971 Is 579928 != 579940? True Which is bigger: -0.032599 or -41? -0.032599 Is -2/32129 at least -2? True Which is greater: 164181 or 656723/4? 164181 Which is bigger: 16001 or 16006? 16006 Which is smaller: -688/5 or -196? -196 Which is greater: -1 or 3/29653? 3/29653 Which is bigger: 1 or 6/29165? 1 Which is greater: -4 or -9/809? -9/809 Which is bigger: 18558 or 74229/4? 18558 Is -80161 > -80123? False Which is greater: -2188 or -163? -163 Is -1.278 at least as big as -0.15? False Is -1851860 at least -1851859? False Is -3089 at most -3090? False Which is greater: -1 or -3276/2087? -1 Is -16557 greater than -413952/25? True Are -1091 and 352 equal? False Which is smaller: 3448/33 or -3/4? -3/4 Which is smaller: -1 or -2/1804439? -1 Is 170 at most 262? True Is 2/93 equal to -27263? False Which is greater: -21 or -9629/437? -21 Is -60193 smaller than -60156? True Which is smaller: 88144 or 969580/11? 969580/11 Is 1.46 bigger than -74? True Is 291 >= -4? True Which is bigger: -21.97 or 0.0518? 0.0518 Which is greater: -156510/29 or -5397? -156510/29 Is 41352 less than 41353? True Which is smaller: 0 or -29/19637? -29/19637 Which is smaller: 7562 or 7566? 7562 Which is bigger: 0.947 or -2/9? 0.947 Which is smaller: 0.28 or 172.2? 0.28 Which is bigger: 0 or 2/5566665? 2/5566665 Which is bigger: -460542 or -460541? -460541 Which is greater: -0.2 or -966.44? -0.2 Is -9017 bigger than -9012? False Which is smaller: 92617 or 92616? 92616 Do -340933/2 and -6 have the same value? False Is -44/611935 equal to 1? False Which is smaller: 831 or 778? 778 Is -356 smaller than 44? True Which is smaller: -42 or 4789? -42 Which is smaller: 324087 or 324086? 324086 Which is bigger: 0 or 657/2882? 657/2882 Are -441121 and -441119 equal? False Is -1 > -2/591339? False Is -0.2 equal to 125097? False Is -157 at most as big as -10576/67? False Is -1/37284 != 2/7? True Is 1 != 3/2764288? True Which is smaller: -63069 or -63050? -63069 Is 874 < 850? False Do -295/347 and -2 have different values? True Is -13/123790 > 1? False Are -2711 and -2902 unequal? True Which is bigger: 13157 or 13158? 13158 Which is bigger: -0.02 or -1105? -0.02 Is -163834 equal to -163826? False Is 33/31994 <= -1? False Is 513667 >= 513667? True Do -3/16 and -27215 have different values? True Is 2831 equal to 14? False Which is smaller: 1474/37 or 40? 1474/37 Is 23421 at most as big as 23418? False Is 2461779/5 < 492355? False Is 15 less than -39681? False Which is smaller: -563/350 or -2? -2 Which is greater: 1 or -1126/12881? 1 Which is smaller: 47517 or 47523? 47517 Which is bigger: -1 or -94405? -1 Which is smaller: -1065 or -1/179? -1065 Which is greater: 0.047 or 19/987? 0.047 Which is greater: -622 or 105? 105 Which is bigger: 47503 or 237509/5? 47503 Which is bigger: -78851 or -78848? -78848 Is 18821 != -107? True Is -1/27187 equal to 1? False Which is smaller: -19.8 or 0.0697? -19.8 Is -1401233 not equal to -1401233? False Which is smaller: 45079 or 45078? 45078 Which is bigger: -1/40758 or -1? -1/40758 Is -5/6044 > 3? False Is -97 less than -9496? False Which is bigger: -26621/3 or -1/32? -1/32 Which is bigger: -236226 or -472449/2? -472449/2 Is -1621 > -1631? True Do -66369 and 2/13 have the same value? False Is 50646 less than or equal to 50645? False Which is smaller: 1 or 2/83309? 2/83309 Which is bigger: 0 or -2/2538315? 0 Is 1/648241 > -1? True Which is greater: 1/3 or 3/83? 1/3 Which is smaller: -14/1385 or -1? -1 Is -1/4 less than or equal to -1094625? False Which is bigger: 77238 or 77239? 77239 Is -6279 bigger than -6246? False Is 410 at most as big as 34724/85? False Is -5183 greater than -88125/17? True Which is smaller: -1 or 59/1289? -1 Are -484 and -559 equal? False Which is smaller: -47853/8 or -5983? -5983 Which is greater: 2/407 or -7.09? 2/407 Which is smaller: -2111 or -2167? -2167 Which is greater: 9657 or 77253/8? 9657 Are 5299 and 90096/17 unequal? True Is -14666/9 bigger than -1630? True Which is greater: 5/6301 or 2? 2 Which is greater: 1037427/7 or 148205? 148205 Is -60425 not equal to -60427? True Which is smaller: 5213 or 2/5? 2/5 Is -8695 >= -3? False Is 15520 >= -43? True Which is bigger: 76601 or 76599? 76601 Which is smaller: -1.8 or -60.82? -60.82 Is 26698/15 at least as big as 1780? False Is 1 smaller than -6/77? False Is 2/7332621 greater than or equal to 1? False Is 14112 greater than or equal to 14112? True Do 43 and 3238/73 have different values? True Which is greater: -2239 or -2170? -2170 Is -363 equal to -376? False Which is greater: 799234 or 9? 799234 Which is smaller: -1 or 71152/11? -1 Are -21080 and -12 nonequal? True Which is bigger: -1 or 6/29035? 6/29035 Is -2/229805 greater than or equal to 0? False Is 534068 >= 2670347/5? False Which is greater: -91323/28 or -3263? -91323/28 Is -3 not equal to -1199/621? True Is -5483/6 != -913? True Which is smaller: 796 or 8/21? 8/21 Which is bigger: -1243 or -458? -458 Which is bigger: 50307 or -1? 50307 Does -44592 = -0.34? False Is 7/674951 greater than -1? True Which is bigger: 2/1217493 or -1? 2/1217493 Is 386139 smaller than 386142? True Is 8/20611 at least as big as 0? True Do -660305/7 and -94329 have the same value? False Are 436461 and 436461 unequal? False Is 427903 bigger than 427903? False Which is smaller: 2/7 or 0.080228? 0.080228 Which is greater: -144.2 or 4? 4 Is 1 > -14/11827? True Are -60 and 14768 non-equal? True Does -2.3436 = 131? False Which is greater: 1/4 or -51604/27? 1/4 Is 17586 greater than 17586? False Is -682 <= -667? True Which is greater: 0.2 or -11735/43? 0.2 Which is greater: -69842/9 or -7760? -7760 Is -14316 >= -14313? False Is -1869 greater than or equal to 20? False Is 6317 smaller than 63? False Which is smaller: 37722 or 37716? 37716 Is 30838/39 at least as big as 792? False Which is bigger: 0.101 or -753? 0.101 Is -1277844 != -1277843? True Is 31/24770 < -0.1? False Is 679 != 3021? True Is -94945 at least -0.1? False Is -0.21 != 0.741? True Which is smaller: 49390 or 444500/9? 444500/9 Is -7/628167 > -1? True Which is smaller: 4/173939 or 0? 0 I
{ "pile_set_name": "DM Mathematics" }
10567530? 13410600332 Add 4 and 194203.80211295. 194207.80211295 What is -77522085 take away -1271363? -76250722 Work out -650888 - -17.463881. -650870.536119 -28394.85330066 + 67 -28327.85330066 Sum 32389440713 and 1.804. 32389440714.804 -20+-2.2622380649 -22.2622380649 What is 0.439092 take away -572250755? 572250755.439092 -1.98 + -650698.852841 -650700.832841 Sum -121031889710 and 104. -121031889606 What is the difference between -160.03 and 1755871? 1756031.03 Put together -0.04777 and 300229578.5. 300229578.45223 Sum 2 and 157460997335519. 157460997335521 What is the difference between 1843579561653877 and -0.1? 1843579561653877.1 Calculate -6 + 4130770.1127. 4130764.1127 Add together -245275 and -0.540392. -245275.540392 Calculate -343359 - 3.32315. -343362.32315 Work out -0.0039 + 232564087. 232564086.9961 What is the distance between 909.858534976 and 19? 890.858534976 What is 301.78603 plus -3.4817? 298.30433 Calculate -0.622558638 + 288. 287.377441362 -13737774 - -3.62627 -13737770.37373 Calculate 14544937 + -100.848. 14544836.152 Subtract -7012 from -37691578. -37684566 Add 127 and -51071168686. -51071168559 What is -0.6408603665 less than -0.03? 0.6108603665 Calculate 455843 + 798.34. 456641.34 Calculate 3 - 44.6227956486. -41.6227956486 Subtract -92535234 from -35.4. 92535198.6 Work out 1800258178 + 2346. 1800260524 Sum 0.028559 and -1126950. -1126949.971441 Add together -0.047 and 1202058232. 1202058231.953 Put together 0.563 and 1177277.092. 1177277.655 What is -0.0814599009 plus 4246? 4245.9185400991 What is -7602774.53 take away 2.9094? -7602777.4394 Add together 0.05371 and 0.097547217. 0.151257217 What is the difference between -1475782671663 and 0.3? 1475782671663.3 -58 - -4596534.401 4596476.401 Sum -306.628 and 31151694. 31151387.372 What is the difference between 47161369 and 0.3063646? 47161368.6936354 What is 5 less than -148325996256? -148325996261 What is 58293.3 take away 280113? -221819.7 What is -447996522 minus -6495? -447990027 What is -909955923 minus -0.0423? -909955922.9577 Subtract -2150 from 64106.894689. 66256.894689 What is 1.07820888965687 - 3? -1.92179111034313 -0.021 + 230293679149 230293679148.979 What is the difference between -0.703718 and 1782.9176? 1783.621318 What is the distance between 70634113282 and 27? 70634113255 13599.3364762+0.03 13599.3664762 17.89035074+-1.6865 16.20385074 Work out -11851121 + 34738. -11816383 Total of -296646196613 and 0. -296646196613 Calculate -0.33 + -16438.590228. -16438.920228 Work out -1869285064 - 0.24862. -1869285064.24862 What is 504825 + 0.06917891? 504825.06917891 What is 5331836 - 65644? 5266192 Total of 305709007610683 and -0.4. 305709007610682.6 Work out -10410 + -617188.59. -627598.59 -4.9 + -419940576.4 -419940581.3 What is the difference between -14568062795 and -2394? 14568060401 Work out -1 - 128050981859203. -128050981859204 What is -7427 minus 53058296? -53065723 67900.85+-0.03874536 67900.81125464 4210825.369+-0.0402 4210825.3288 What is the distance between 2 and 6145791.5038385? 6145789.5038385 What is -0.1 - -2027813646863? 2027813646862.9 What is 25.6619 less than -8.2057? -33.8676 What is -68502893.207 plus 3? -68502890.207 Work out -0.2 + 24537646749. 24537646748.8 Put together 3288599282239 and 3. 3288599282242 Calculate -62.157592 - 1.8433. -64.000892 -1532601893+-0.88 -1532601893.88 Calculate -438773376191 + -0.027. -438773376191.027 -2630872601434.8+-5 -2630872601439.8 What is 445.1 + 579249965? 579250410.1 0.12253518 + -0.029209989 0.093325191 What is 36 + -1235814234? -1235814198 What is 589743 plus 16345.364? 606088.364 What is 3120125 plus -110762574? -107642449 Add together 128903350091 and -3.09. 128903350087.91 Work out -0.4 - 163829708139. -163829708139.4 82265582419 - -11236 82265593655 Work out -1.1 + -9972735635.87. -9972735636.97 Work out -248607864289 - -0.08. -248607864288.92 What is the distance between 13131.517 and -688.3? 13819.817 0.04+2000575649577 2000575649577.04 What is 1558954993814 minus -28.8? 1558954993842.8 Work out -166 + -46535138871. -46535139037 What is -70953115716 + 1549? -70953114167 Work out -1.3486331227 + -4254. -4255.3486331227 Work out 15103.55 - 9870.9. 5232.65 What is 5549.552721 + -0.0594? 5549.493321 Work out 610771968262 - 0. 610771968262 Calculate -317.61 - 28024.3404. -28341.9504 What is 51149.5 less than 252484496? 252433346.5 What is -1.12164845489751 less than -6? -4.87835154510249 What is 7.2455 take away -7813712? 7813719.2455 What is -227745.5 + -485.117? -228230.617 What is -41 - 4407994587? -4407994628 -482564026 + -216 -482564242 Calculate -234732561 + 0.014726. -234732560.985274 Calculate 0.052 + 74903753795. 74903753795.052 What is 0.136 - 0.910804605635? -0.774804605635 Calculate 0.12 - 5589091707. -5589091706.88 What is -16513332341.7 - 0.04? -16513332341.74 Work out -243.1 - -3249.50677. 3006.40677 Calculate -3700.807841 + -2.4. -3703.207841 Work out -2746 - -3.013287885. -2742.986712115 Calculate -57841166433621 + 4. -57841166433617 What is 6.3 plus 50.774839924? 57.074839924 Total of 556716.546 and 1312. 558028.546 What is the distance between -466035516419 and -0.2? 466035516418.8 Put together -4 and -9633047859.9717. -9633047863.9717 Add -77921.68395 and -85. -78006.68395 Total of -1393355.225369 and 0.76. -1393354.465369 Calculate -74855732 + 1.033596. -74855730.966404 Add 199029842.7 and 145.1. 199029987.8 Work out -26889312 - -2533313. -24355999 40647983068870+-55 40647983068815 Put together -7096161 and -526.52. -7096687.52 Work out 3.993600789 - -1. 4.993600789 456107 + -463531 -7424 Subtract -139564009 from 15425. 139579434 What is the difference between -9160.3 and 27.78944? 9188.08944 What is 678.288 + -5941388? -5940709.712 Calculate -5.2014 + -3221767.7. -3221772.9014 Subtract 0.7632943833 from -54850. -54850.7632943833 What is -263.9 take away 40927717920? -40927718183.9 What is -17 - 548.4219629? -565.4219629 34929 + 476118225 476153154 -3956.292 - 4891961 -4895917.292 Sum -0.62 and -979098017.4. -979098018.02 Calculate 0.007 - 19890432.8942. -19890432.8872 What is 31267321 + -0.017346? 31267320.982654 Sum -113.2682269 and -78011. -78124.2682269 Add -13.318 and 4570749. 4570735.682 Calculate -1 + 247773713025746. 247773713025745 What is -1333140552883 plus -0.1? -1333140552883.1 What is 45541 plus 3161552? 3207093 What is -29983 + -237485522? -237515505 Put together 0.3 and -4177491353878. -4177491353877.7 Work out -2579540121642 + 0. -2579540121642 What is 101445893180 take away 10? 101445893170 Sum 24470 and -2.518842. 24467.481158 Calculate 22570 - 56323.73. -33753.73 What is -49965.84409634 plus 0.01? -49965.83409634 What is 18101639 take away -21865.2? 18123504.2 What is -350033.4514 minus 32? -350065.4514 Add together 43 and 1365.676537. 1408.676537 Calculate -568.3 - -395618771. 395618202.7 Sum 0.182 and 101817.9534977. 101818.1354977 Total of 11974 and -1257233.3038. -1245259.3038 Calculate -91307139 - -1303347. -90003792 Calculate -273392 - 0.0836469. -273392.0836469 What is 582973773926 take away 0.141? 582973773925.859 Work out -6329936 + 33161. -6296775 What is -0.0563 take away 42.288652722? -42.344952722 Work out 725.9 - 230132180. -230131454.1 Work out -197892.399568 - 0.341. -197892.740568 What is 292265701395 plus -4? 292265701391 What is 1216 less than 1479402885? 1479401669 What is 0.1 + 12362830.965002? 12362831.065002 What is -19610.563207 take away -0.85? -19609.713207 0.4 + 18076258632753 18076258632753.4 -0.02 + -217.38907081924 -217.40907081924 What is -0.37 less than 1020.75686706? 1021.12686706 Calculate -63452 + -721.151. -64173.151 213087172+13.022 213087185.022 Calculate -107003.09076 + 0.0558. -107003.03496 Put together 139 and 0.5854458751. 139.5854458751 67 - 148565514 -148565447 -0.096939936 - 5215 -5215.096939936 What is 5 - 2967.199851543? -2962.199851543 Subtract -1356779 from -24727096. -23370317 -0.14 + -734375228715 -734375228715.14 What is -1.99269633299 + -9? -10.99269633299 -0.005842 - 9475003078 -9475003078.005842 Work out 5623.9 - 93407393. -93401769.1 Work out 97864707 + 1957140. 99821847 What is 890 minus 813578.73694? -812688.73694 What is -159893919474 take away 4.38? -159893919478.38 10.185801809 - -0.001 1
{ "pile_set_name": "DM Mathematics" }
*2 - 10*a - 2. Calculate w(-5). -2 Let y(s) = -38*s - 760. Calculate y(-20). 0 Let k(c) = c**2 + 11*c - 38. What is k(-8)? -62 Let h(j) = -43*j + 862. Calculate h(20). 2 Let u(d) = d**3 - 30*d**2 + 20*d - 66. What is u(29)? -327 Let i(w) = -48*w + 71. Determine i(3). -73 Let a(d) = -d**3 + 101*d**2 - 98*d - 181. Give a(100). 19 Let y(i) = -i - 46. What is y(1)? -47 Let d(h) = 3*h**3 - 39*h**2 + 128*h - 2. Give d(5). 38 Let z(j) = -2*j**3 - 63*j**2 - 107*j - 506. What is z(-30)? 4 Let z(i) = i + 117. What is z(-116)? 1 Let b(r) = 21*r - 165. What is b(8)? 3 Let i(h) = 4*h**3 - 2*h - 26. What is i(0)? -26 Let n(o) = -o**2 - 1005*o - 43190. Calculate n(-45). 10 Let h(y) = -y**2 - 28*y + 66. Give h(-30). 6 Let a(y) = -y**2 - 40*y - 402. Determine a(-17). -11 Let x(c) = -36*c - 568. Calculate x(-15). -28 Let n(i) = -170*i - 1068. What is n(-6)? -48 Let l(n) = 65*n**2 + 5*n + 4. What is l(-1)? 64 Let z(p) = -2*p**2 + 1542*p - 38716. Determine z(26). 24 Let l(t) = 14*t**2 - 964*t - 105. What is l(69)? 33 Let p(k) = 109*k + 5373. What is p(-49)? 32 Let z(p) = 77*p**2 - 5*p - 10. Give z(-1). 72 Let v(a) = -880*a - 6225. Give v(-7). -65 Let o(c) = -1348*c - 33705. Give o(-25). -5 Let d(r) = -5*r + 13. Give d(-15). 88 Let i(v) = -3*v**2 - 5*v - 158. Give i(-11). -466 Let h(y) = -y**2 - 74*y - 22. Calculate h(0). -22 Let d(j) = j**3 - 17*j**2 + 11*j + 154. Give d(14). -280 Let v(h) = -50*h**2 - 2*h - 1. Give v(-1). -49 Let h(z) = -4*z + 1. Calculate h(-1). 5 Let d(q) = -2*q**2 + 1332*q + 6703. Give d(-5). -7 Let r(o) = -o**3 - 7*o + 253. Determine r(6). -5 Let m(z) = z**3 + 6*z**2 - z + 7. Calculate m(3). 85 Let w(g) = -g**2 + 14*g + 10. Calculate w(7). 59 Let k(d) = 3*d**3 + 556*d**2 - 9449*d - 405. What is k(-201)? -3 Let b(p) = 2*p**3 + 14*p**2 + 34*p + 135. What is b(-6)? 3 Let q(z) = -z**2 - 2481*z + 9934. Give q(4). -6 Let f(i) = 6*i**3 - 483*i**2 - 243*i + 15. Calculate f(81). 15 Let d(s) = -4*s**2 - 61*s - 125. Determine d(-5). 80 Let o(v) = 144*v**2 + 239*v + 236. Give o(-1). 141 Let h(j) = -2*j**2 - 4*j + 16. What is h(3)? -14 Let b(k) = 2*k**2 - 124*k - 578. Determine b(66). -50 Let d(j) = 1109*j + 19955. Calculate d(-18). -7 Let c(x) = -20*x + 635. Give c(31). 15 Let n(z) = -431*z - 3441. Determine n(-8). 7 Let p(z) = 58*z + 4835. What is p(-84)? -37 Let j(q) = 157*q + 964. Give j(-6). 22 Let l(x) = -2*x**2 + 105*x + 1136. Determine l(-10). -114 Let d(q) = 126*q**2 + 2. Calculate d(-1). 128 Let r(h) = 49*h**2 + 14*h - 13. Determine r(1). 50 Let s(x) = 55*x - 817. What is s(16)? 63 Let v(c) = -c**3 - 23*c**2 - 597*c - 16160. What is v(-25)? 15 Let v(w) = w**3 - 15*w**2 + 68*w - 105. Determine v(3). -9 Let z(k) = 117*k**3 + 5*k**2 - 1. Give z(-1). -113 Let h(m) = -m**3 + 17*m**2 + 72*m - 1349. Calculate h(15). 181 Let p(v) = v**3 - 11*v**2 - 36*v + 239. What is p(9)? -247 Let l(t) = -23*t**2 - 228*t + 9. Determine l(-10). -11 Let m(k) = -6*k**3 - 922*k**2 + 310*k + 195. Determine m(-154). -113 Let v(m) = -m**3 + 34*m**2 - 87*m - 187. Calculate v(31). -1 Let r(f) = -56*f - 2621. Give r(-47). 11 Let u(j) = 950*j - 7627. Determine u(8). -27 Let j(u) = -u**3 - 8*u**2 - 22*u + 11. Calculate j(-5). 46 Let g(t) = -2*t**3 + 72*t**2 + 75*t - 37. Calculate g(37). 0 Let i(q) = 569*q - 6261. What is i(11)? -2 Let i(t) = -t**2 + 62*t - 874. Determine i(40). 6 Let a(l) = -l**3 - 14*l**2 - 24*l - 17. Determine a(-11). -116 Let h(t) = 4*t**2 + 73*t + 33. Determine h(-19). 90 Let q(g) = -g**3 - 14*g**2 + 19*g - 25. Calculate q(-15). -85 Let y(u) = -u**3 + 14*u**2 - 6*u - 82. Give y(13). 9 Let o(m) = 295*m + 4745. Give o(-16). 25 Let j(c) = 2*c**3 - 22*c**2 + 83*c - 190. Determine j(7). -1 Let y(w) = 346*w - 5184. Determine y(15). 6 Let v(p) = 7*p**2 - 84*p - 484. Give v(16). -36 Let f(k) = -12*k - 139. Determine f(-21). 113 Let w(u) = 13648*u + 150125. Calculate w(-11). -3 Let g(h) = 5*h**3 + 68*h**2 + 46*h + 93. Calculate g(-13). 2 Let b(h) = 7*h**3 + 153*h**2 - 34*h - 290. Calculate b(-22). -26 Let x(d) = -34*d**2 + 240*d - 21. What is x(7)? -7 Let p(z) = 9*z - 75. What is p(14)? 51 Let h(c) = -c**3 + 7*c**2 + 25*c - 151. Calculate h(8). -15 Let j(h) = -h**3 - 14*h**2 - 196*h - 1786. Calculate j(-11). 7 Let m(i) = -14*i**2 - 718*i - 217. Give m(-51). -13 Let u(h) = h**3 + 16*h**2 + 18*h + 142. Determine u(-15). 97 Let c(v) = 2*v**3 + 8*v**2 - 31*v - 129. Calculate c(-5). -24 Let v(d) = -3*d**2 + 530*d - 350. Calculate v(176). 2 Let x(r) = -125*r - 1241. Give x(-10). 9 Let p(l) = -7020*l - 35106. What is p(-5)? -6 Let c(f) = -f**3 + 11*f**2 + 146*f - 1556. Determine c(13). 4 Let t(b) = 14*b**2 + 23*b - 10. Determine t(-4). 122 Let t(a) = 2*a**2 + 6*a - 437. Calculate t(13). -21 Let f(j) = 445*j + 4947. Calculate f(-11). 52 Let t(b) = 58*b + 59. Determine t(-5). -231 Let o(g) = 39126*g + 117389. Calculate o(-3). 11 Let y(u) = 3*u**2 + 4*u - 35. Calculate y(-9). 172 Let y(h) = 133*h - 3685. Calculate y(28). 39 Let o(n) = n**3 - 8*n**2 - 67*n + 474. Calculate o(10). 4 Let y(q) = q**3 - 415*q**2 + 3659*q - 2031. What is y(406)? -1 Let i(x) = 171*x**2 - 1026*x + 2. What is i(6)? 2 Let n(f) = 3*f**2 - 13*f + 12. Give n(3). 0 Let f(t) = -9955*t + 59738. Determine f(6). 8 Let r(v) = -v**2 - 220*v + 4735. Determine r(20). -65 Let r(m) = -m**3 + 131*m**2 + 2356*m - 585. Give r(147). 3 Let d(x) = x**2 + 334*x + 997. Calculate d(-3). 4 Let d(v) = 7*v**2 - 57*v + 89. Calculate d(2). 3 Let q(x) = 11*x + 3. Calculate q(6). 69 Let m(d) = -d**3 - 73*d**2 + 230*d + 148. Give m(-76). -4 Let b(q) = -2*q**3 - 54*q**2 - 35*q + 438. Calculate b(-26). -4 Let x(m) = -119*m + 1666. Calculate x(14). 0 Let l(o) = o**2 + 177*o - 541. Give l(3). -1 Let i(x) = 3*x**2 - 5*x - 240. What is i(14)? 278 Let h(p) = 20*p**2 - 657*p - 120. Give h(33). -21 Let s(b) = 25*b + 1769. Calculate s(-90). -481 Let a(u) = -1326*u - 10595. Give a(-8). 13 Let v(s) = -s**3 + 22*s**2 - 67*s + 957. What is v(21)? -9 Let b(c) = 2*c**3 - 23*c**2 - 9*c + 219. What is b(11)? -1 Let m(v) = 17*v + 2319. What is m(-138)? -27 Let b(i) = -i**2 + 343*i + 6254. Give b(-17). 134 Let s(w) = 7441*w - 96723. Determine s(13). 10 Let t(n) = 9*n + 275. Determine t(-49). -166 Let j(u) = -4*u**3 + 28*u**2 - 62*u - 7. Determine j(5). -117 Let q(y) = -y**3 + 63*y**2 - 533*y + 31. What is q(10)? 1 Let g(i) = -248*i + 985. Determine g(4). -7 Let m(g) = 14*g**2 + 111*g + 68. Determine m(-7). -23 Let b(h) = -h**3 + 144*h**2 + 287*h + 3. Give b(-2). 13 Let f(h) = 4*h**2 + 139*h - 5729. Determine f(-59). -6 Let a(o) = -1013*o - 15200. What is a(-15)? -5 Let v(o) = -84*o**2 + 109*o - 111. Determine v(1). -86 Let f(r) = -4*r**3 - 14*r**2 - 5*r - 6. Give f(-3). -9 Let n(d) = 2*d**2 - 24*d + 12. Determine n(12). 12 Let f(k) = 14*k + 410. Give f(-36). -94 Let g(i) = -i**3 + 61*i**2 - 232*i + 227. Calculate g(57). -1 Let q(s) = -4*s**2 - 206*s + 561. What is q(-54)? 21 Let m(h) = 3114*h - 21795. Determine m(7). 3 Let t(f) = -f**3 - 19*f**2 - 47*f - 151. Calculate t(-17). 70 Let v(j) = 2*j**3 - 97*j + 367. Give v(4). 107 Let m(w) = -134*w - 55. Determine m(-5). 615 Let s(g) = -7*g - 98. What is s(-15)? 7 Let w(u) = 2369*u - 236904. Calculate w(100). -4 Let s(l) = -65*l + 721. Determine s(11). 6 Let u(t) = -t**3 - 14*t**2 + 76*t - 5. Determine u(4). 11 Let m(k) = 5*k**3 - 55*k**2 - k + 18. Determine m(11). 7 Let w(t) = -t**3 - 12*t**2 - 6*t + 66. Determine w(-10). -74 Let i(a) = 57*a + 544. Determine i(-3). 373 Let n(v) = -2*v**2 - 5*v + 121. Give n(8). -47 Let x(g) = -10*g**2 - 1734*g - 700. Determine x(-173). -8 Let a(j) = j**2 - 3514*j - 24642. Determine a(-7). 5 Let u(d) = -730*d + 2. Determine u(0). 2 Let g(o) = -o**2 - 8*o + 149. What is g(-17)? -4 Let y(w) = w**2 + 19*w + 85. Determine y(-17). 51 Let v(w) = -43*w**2 - 12*w + 4. Give v(4). -732 Let z(p) = -2*p**2 - 40*p + 196. Calculate z(-24). 4 Let l(r) = 2*r**3 - 29*r**2 - 32*r - 221. What is l(16)? 35 Let t(p) = -1060*p - 10624. Calculate t(-10). -24 Let l(u) = -u**2 - 104*u - 667. What is l(-97)? 12 Let z(o) = 16*o + 280. What is z(-14)? 56 Let h(u) = -37*u + 1257. Calculate h(34). -1 Let b(x) = -4*x**2 - 121*x - 207. Calculate b(-28). 45 Let m(z) = 3*z**2 - 43*z + 312. Give m(12). 228 Let k(p) = -395*p + 11048. Calculate k(28). -12 Let i(a) = 859*a - 6851. Determine i(8). 21 Let j(o
{ "pile_set_name": "DM Mathematics" }
ppose -n*g - 1 = -6*g. Is g < 2? True Let i = -8080 - -7799. Is i smaller than 6? True Let b(v) = 4*v**2 - 30*v + 17. Let q be b(8). Let j = 2.6 + -2.6. Is j greater than or equal to q? False Let l = -4/83273 - -233494/1393740201. Are l and -0.1 equal? False Suppose -19*x + 421 = -15*x - u, 0 = 5*u + 5. Which is smaller: x or 730/7? 730/7 Let h(s) = -s**2 - 6*s - 17. Let f be h(-3). Let o be 24/f*(-12)/9. Suppose -x = -o*w - 45 - 47, x + 62 = -3*w. Is -21 less than or equal to w? False Let q = -2.176 - 91.014. Let h = -93 - q. Which is greater: h or 0? h Let r(a) = -2*a**3 + 16*a**2 + 4*a - 28. Let y be r(8). Suppose -2*l + t - 246 = 0, -3*t = -y*l + t - 488. Is -125 not equal to l? True Let u = 24986 + -29183. Which is greater: -4198 or u? u Let b = -207 - -334. Let j = 0.00826 + -0.10826. Which is greater: b or j? b Suppose -2897 = -29*m + 6557. Let b = m + -142. Which is smaller: b or 183? 183 Suppose -22 = -2*y + 4*o, 9*y - 4*o = 8*y + 23. Does y = -2/1607? False Suppose -2*g = 3*g - 25, -2*d = -2*g - 28. Let y = 5 - d. Let f = -24 - y. Is f greater than or equal to -9? False Let y = 5627 - 5624. Which is smaller: 161/39 or y? y Let c(g) be the first derivative of 35*g**4/4 + g**3 + 3*g**2/2 + 5*g + 143. Let b be c(-2). Which is smaller: -270 or b? -270 Let m(l) = -96*l - 4. Let a be m(6). Let r = a - -34216/59. Suppose 3 = 396*w + 196*w + 3. Is r >= w? False Suppose 2*l + 3*h + 30 = -10, -l - h - 20 = 0. Let i be ((-2)/l)/((-16)/(-20)). Which is smaller: -12 or i? -12 Let h = -704 + 489. Let u = h - -203. Is u less than or equal to -2? True Suppose 3*m - 3 = 3*p, 2*m - p + 26 = 27. Which is smaller: m or -2? -2 Suppose 6*d - 3*d - 13520 = 19*d. Is d at most -1691/2? False Suppose -11*b + b - 4660 = 0. Let q = 418 + b. Which is smaller: q or -55? -55 Suppose 0 = -5*y - b + 157, 0 = -5*y + 4*b + 57 + 115. Let m be 0 - (-2)/(-2)*-3. Suppose m = -k + 36. Are y and k non-equal? True Let k be ((6516/(-10))/9)/((-4)/5). Let p = 91 - k. Which is greater: 0.63 or p? 0.63 Let r(g) = -4*g**2 + 43*g + 275. Let x be r(-5). Are 65 and x nonequal? True Let s be (-2)/(4688/(-7034)) + -3. Let h(f) = -18*f - 109. Let v be h(-6). Which is bigger: v or s? s Let v be (56/420 - (-146)/30) + 19. Suppose 0 = -v*q + 15*q. Do -1/13 and q have different values? True Let j = 53694.11 - 53694.1. Let a = -24 + 3. Is j less than or equal to a? False Suppose -2*a + 5 = -2*c + 5*c, 3 = 3*c. Let o = 361 - 510. Let s = 1047/7 + o. Which is smaller: s or a? s Suppose 69*y - 15 = 74*y, -y = -3*c - 213. Suppose -213 - 284 = 7*m. Which is smaller: c or m? c Suppose -5*k + 2 = -3. Suppose 2*y - 166 = 38. Let s be (90/y)/((-3)/(-2)). Which is smaller: k or s? s Let g = 1567 - 1568.27. Is g greater than -4/11? False Suppose 181*d = 68*d. Is d less than 7/73? True Suppose 0 = -2*b, 0 = -4*v - 4*b - 4 + 16. Let c be (9/v)/(-45)*(-7 - 2). Suppose 235*m - 238*m = 21. Is m greater than c? False Let x be 2 + (-1 - (3 - 4)). Suppose -6*q - 1 = x*k - 9*q, 0 = 2*k + 4*q - 6. Which is greater: 3/62 or k? k Let i be 9*(-26)/(-39) + 1114/(-10). Let g = 107 + i. Which is bigger: g or -24/7? g Suppose -2*z = -7*y - 1587, -3*z - 34 - 173 = y. Suppose u + 71 + 153 = 0. Do y and u have the same value? False Let w = -2617191/92 - -28448. Let z = w + -1/4. Which is bigger: z or 1? 1 Suppose 11*h = 20*h. Let u be (-14)/(-21) - (-1 + 2 + h). Let b = 35 + -178/5. Which is greater: b or u? u Let t be 5/10 + 1750/(-150). Which is smaller: -4 or t? t Let t = -1632 + 3027. Let f be t*(3/(-6)*4)/(-5). Is f != 559? True Suppose 22*i + j + 1845 = 19*i, 0 = -5*i - 5*j - 3085. Let x = 617 + i. Let z = 9 - 16. Is x != z? True Let c = 163.704 + 0.296. Let y = 165 - c. Which is smaller: 0.161 or y? 0.161 Let v be 0 - -12*(-1)/1. Let h be 101/v + 21/28. Suppose -56 = -19*l + 26*l. Which is bigger: l or h? h Let v = 6 - -32. Let o = -72 + 33. Let g = o + v. Which is smaller: 12 or g? g Suppose 0 = 22*r - 41 + 239. Let n be ((-2)/r - 86/387)/1. Let u = -59 - -42. Is u at most n? True Suppose -2*w - 4*l = -6 + 2, -2*l + 4 = 0. Let g be (3 + -1)*(-2)/w. Let o = -506.03 + 507.23. Do o and g have different values? True Suppose -l - 4 + 6 = 4*o, -5*l = -4*o - 106. Suppose -19 = -3*c - 5*p, -13 = 17*c - l*c - 5*p. Is 23 not equal to c? True Let x(q) = 25*q + 1265. Let z be x(-33). Are 440 and z equal? True Let m = -195946/246225 - -146/1225. Which is smaller: 0 or m? m Suppose 12*h - 26 = -98. Let a be (-8 - 608/(-72)) + 2/h. Let w = -5 + 3. Which is smaller: w or a? w Let d be (-14 + 7 + 38/2)/(92/6). Let x be (0 - 1)*3/3. Let j = x - -2. Which is bigger: j or d? j Let v = 2 + 4. Let g = v - 7. Let u = 628.9 - 629. Which is smaller: u or g? g Let o = -19985/104 + 2360/13. Is o != -0.6? True Let i = 2352.9 + -2353. Which is smaller: i or -194? -194 Let v = -33 + -5. Let b = -6355.01 + 6393. Let d = v + b. Which is smaller: d or 1? d Let u = -674 + 727.8. Let y = u - 56. Let x = y - -0.2. Which is smaller: 0 or x? x Let l = -10800 - -10787. Let t(v) = -v**2 - 5*v - 5. Let x be t(-9). Let q = 27 + x. Which is greater: q or l? l Let h be 2 + 51/(12/(-4)). Suppose 11*u + 44 + 209 = 0. Let g be u + (-6 - (-11 + -1)). Is h > g? True Let i = 3.01 + 19.99. Let p = i + -21. Does p = -39/2? False Let u = -15 - -21. Suppose -4*b = 2 - u. Is b not equal to 2/143? True Let u = -9.858 + 9.9. Let g = 0.958 + u. Let w(c) = -c**2 + 10*c. Let y be w(11). Which is greater: g or y? g Let r(z) = -z**2 - 5*z + 2. Let f(v) = 6*v**2 + 24*v - 11. Let b(p) = -2*f(p) - 11*r(p). Let t be b(3). Suppose 358 = 5*w - t. Which is smaller: 0 or w? 0 Let k(s) = -s**2 + 12*s + 15. Let m be k(13). Suppose -m*w = -5*d - 33, -2*d = 3*d + 15. Suppose 0 = 3*h - 6 + w. Which is smaller: h or 2/19? h Let m = 7678 + -23032/3. Is m equal to -2/835? False Suppose -2*i - 2*i - 2*c = -92, 0 = -3*c + 12. Suppose 2*x = 5*r + i, -r + 4*x - 7 = 5*x. Which is greater: -1 or r? -1 Let p(k) = 199*k**2 - 10*k - 11. Let f be p(-1). Let r = -157 + f. Is 43 smaller than r? False Let c(z) = 2*z**3 + z**2 - 2*z + 3. Let r be c(2). Suppose -1187 = 4*h - 5*v, -4*h + 125 - 1316 = -v. Let g = h - -316. Which is greater: r or g? r Suppose -254874 = -539*k + 325*k. Which is greater: 1194 or k? 1194 Let u be (3 + -7155)/8*2/(-6). Suppose 0 = 3*t + p - 230, 4*t + 6*p - 9*p = u. Is t greater than or equal to 309/4? False Suppose -2*a = 37 - 41. Let q be 5 + -2 - 106/a. Let z be 2*15/q*(-15)/(-6). Which is greater: z or 17? 17 Let j(q) = -57 + 7*q + 4*q**3 + 63*q - 14*q + 172*q**3. Let d be j(1). Which is greater: d or 177? 177 Suppose 14 = 5*r - 46. Suppose -4*x - v = -95, 0 = v - 0 - 3. Let b be x/4 - 5 - 17/r. Which is bigger: b or 1/4? 1/4 Let b = -2 + -2. Suppose -292 = -5*q + 3*r, -q + 119 = q + r. Let d = 55 - q. Is d <= b? True Let j = -8 + 10. Let d(z) = -z**3 + 22*z**2 + 14*z**2 - 37*z**j + z + 5. Let i be d(0). Is i bigger than 7? False Let q = -266.857 - -267. Let f = -4.857 - q. Which is greater: -20 or f? f Let d = 1.12 + -0.42. Let c(x) = -x**3 - 17*x**2 - 17*x - 28. Let g be c(-16). Which is bigger: d or g? d Let n(t) = t**3 + 8*t**2 - 4*t - 2. Let c be n(-6). Let m = -78 + c. Let u be m/12 + 24/(-18). Which is greater: u or -1/167? u Suppose 11*f - f = 0. Suppose -b + 24 - 10 = f. Is b equal to 17? False Let p = 547.2 + -723. Which is smaller: -0.2 or p? p Let c(t) = t**2 - 16*t + 81. Let a be c(7). Let z(o) = o**3 + 6*o**2 + o - 2. Let u be z(-5). Let l = 1 + u. Is l greater than or equal to a? True Let x be (-2)/(-45)*(-4)/(-8). Suppose -3 = t + 4*w, -8 = 2*w - 2. Suppose -5*h + 4 = 5*s + t, -2 = 2*h - 5*s. Which is bigger: h or x? x Let p = 86199/5020 - 181/251. Let q = p - 81/5. Let g = -0.5 + 8.5. Is q equal to g? False Let z be -3*(-122)/(-305)*(0 + 150). Let m be 4/10 - 1794/10. Which is smaller: z or m? z Let p be 0 - (3 - (-1 + (7 - 3))). Suppose 0 = -p*y - y - y. Which is smaller: 1/774 or y? y Let b = 0.71 - 0.82. Suppose -70*v - 2205 = -245. Is b less than or equal to v? False Let j = 0.0263 + 0.3037. Let h = 0.025 - -0.405. Let o = j - h. Which is smaller: -0.03 or o? o Let a = -1318.9 + 1364.9. Which is smaller: -11 or a? -11 Suppose 25 = -h - 3*h - s, 0 = h + s + 7. Let f be (25/(-2))/5*(-18)/15. Suppose -5*x = f*x + 56. Are x and h nonequal? True Let k =
{ "pile_set_name": "DM Mathematics" }
? (a) 0.1 (b) -16 (c) -0.3 (d) -4/5 (e) 13 (f) -0.4 b Which is the third smallest value? (a) 4 (b) 15/2 (c) -8 b Which is the third biggest value? (a) -15 (b) 0.1 (c) 20075 a Which is the third biggest value? (a) -1/4 (b) -44.6 (c) 10 b What is the fourth biggest value in 23, -70.54, 3/2, -4? -70.54 Which is the fourth biggest value? (a) -4 (b) -349 (c) 1/6 (d) 4 b What is the fifth biggest value in 0, -6/5, -10/11, 4/67, -5? -5 Which is the fifth biggest value? (a) -3 (b) -0.4 (c) 2/3 (d) 0.4 (e) -2/7 (f) 5 b Which is the second smallest value? (a) -92 (b) 5 (c) -7 (d) 0 (e) -3 (f) 2 c Which is the second biggest value? (a) 3 (b) 0.0236 (c) 0.09 (d) -0.5 c What is the second smallest value in 5, -1/9, 153, 0.2, -59? -1/9 What is the second biggest value in -2, 0, -352? -2 Which is the sixth smallest value? (a) -3 (b) 0.4 (c) 5 (d) 136 (e) 0.11 (f) 0 d What is the second biggest value in -2, -0.4, -2737? -2 What is the sixth smallest value in -3, 2, 15, 1/3, -1146/13, 0? 15 Which is the sixth biggest value? (a) -1 (b) -0.04 (c) 0.111 (d) 25 (e) 4 (f) -4 f Which is the smallest value? (a) 0.06 (b) -2/9 (c) 2/7 (d) 4 (e) 145 (f) -0.2 b Which is the third smallest value? (a) -1/5 (b) 8 (c) -33/2 (d) 0.4 (e) -3 (f) -0.5 f What is the second smallest value in 1/23, 0.205, 0? 1/23 Which is the second biggest value? (a) 0.2 (b) 1/3 (c) -0.11 (d) -147.46 a Which is the fifth smallest value? (a) -10367 (b) -0.1 (c) -2 (d) -0.3 (e) 5 e What is the biggest value in 3, 1/5, 0.002, 61? 61 What is the smallest value in -2, 0, -0.2, 1, -5/4? -2 Which is the second biggest value? (a) -1/4 (b) -5 (c) -64312 b Which is the second smallest value? (a) 3 (b) 1 (c) -3/307 b What is the second smallest value in -1, 0.3, -4/33, 2/9, 18? -4/33 Which is the third biggest value? (a) -1/6 (b) -3 (c) 0 (d) 649 a What is the third biggest value in -1, 2/7, 0.581, -1/71, -0.3? -1/71 Which is the fourth smallest value? (a) 13 (b) -1 (c) 2 (d) 38 (e) -4 a What is the third smallest value in -0.4, 0.039, 11, -0.12? 0.039 What is the third biggest value in -16, 109, 27, -4? -4 Which is the fourth biggest value? (a) 10 (b) -2/15 (c) -0.1 (d) 4/5137 (e) -0.4 b Which is the third biggest value? (a) 35 (b) 0.74 (c) 1 b Which is the second smallest value? (a) 1 (b) -1429 (c) 43 a What is the third smallest value in 23.7, 2/5, 1, -0.07, 5/2? 1 What is the third smallest value in 3/20974, -11, -4/5? 3/20974 What is the biggest value in -2/9, 4, -2, 1.4, -107? 4 What is the second smallest value in -0.1, 222, 0, -1/2, 1/2? -0.1 What is the third biggest value in -0.4, -568, 19, 2/11? -0.4 What is the biggest value in -46, 3, -1/3, -2.48, 2/11, 0? 3 Which is the fourth smallest value? (a) -1/2 (b) -6330 (c) 2/105 (d) 3 d What is the third biggest value in 7/8, -43, -2/11, -2/17? -2/11 Which is the sixth biggest value? (a) -8/5 (b) 0.4 (c) -2/11 (d) 8 (e) 0 (f) -25 f Which is the second biggest value? (a) -27 (b) -2/7 (c) -604 a What is the third smallest value in 0, 1/4, -1054, -5? 0 Which is the fourth smallest value? (a) -4/9 (b) 1/3 (c) -1 (d) -6 (e) 0.4 (f) 2 b What is the third smallest value in -0.05, -0.28, -5? -0.05 Which is the second biggest value? (a) 2/3 (b) -2/7 (c) -1/9 (d) 1/23 (e) -29 (f) 0.4 f What is the third biggest value in 2/391, -1/7, -24? -24 Which is the second smallest value? (a) -4 (b) -26 (c) -5409 b What is the biggest value in 6/13, 3/14, -35? 6/13 Which is the second smallest value? (a) -2 (b) 1/5 (c) -0.6 (d) -0.572 c What is the second smallest value in -8, 3.72, -0.3, -0.2? -0.3 What is the second biggest value in 23245, -1/2, -29? -1/2 Which is the second biggest value? (a) -4 (b) -16 (c) 20 (d) 4 (e) -2 d What is the second biggest value in 77.1, -0.4, 19? 19 Which is the biggest value? (a) 32.6155 (b) 3 (c) -0.4 a What is the third biggest value in -1/24, 2, 5, 54? 2 Which is the fifth biggest value? (a) -0.2 (b) 0.027 (c) -0.4 (d) 15 (e) -0.06 c Which is the biggest value? (a) 1 (b) -0.2 (c) 3/70 (d) 8 (e) 2/31 d What is the fourth smallest value in 5, 0.5, 50, -0.2, 1, 97? 5 What is the fourth smallest value in -9, 2, -20, -4/3? 2 What is the smallest value in -4, -38, -1/2, -0.1, 2/5, -11/10? -38 What is the second smallest value in 2, 15, -97? 2 What is the fifth smallest value in -1, 0.5, -2, 1/9, 16? 16 What is the third smallest value in -452, -0.5, -2, 3, 2/11? -0.5 What is the third biggest value in 4, 135, 1? 1 What is the fourth smallest value in -0.4, 0.3, 3.6, 5, 0.5? 3.6 What is the biggest value in -2434, -1, -0.2? -0.2 Which is the second smallest value? (a) -2684 (b) -13 (c) -1/8 (d) -2/15 b What is the biggest value in 3/2, 1, -28, -1/39? 3/2 What is the second biggest value in -2/3, -1/6, -0.2, -3, -5, -6234? -0.2 What is the third smallest value in -0.07, 115, 12, 0.3? 12 What is the smallest value in 1/7, 0, -17/172, -2? -2 What is the smallest value in -2/11, -35, 2/15, 2.6, -1? -35 Which is the fifth smallest value? (a) -0.19 (b) -30 (c) -11 (d) -3/2 (e) 2/3 (f) -2 a What is the fifth biggest value in -2, -0.3, -245, 14/5, -2/13, 1/2? -2 What is the biggest value in 2/23, -7, 6, -155? 6 What is the fourth biggest value in -65, 1.6, -1, 42? -65 What is the smallest value in -32, 1/712, -3? -32 What is the third smallest value in -12, 0, -4, -2/7, 91? -2/7 Which is the fourth smallest value? (a) 1/10 (b) -3/4 (c) 134 (d) -1 c What is the fifth biggest value in -2/11, -40/9, -4, -0.12, 0? -40/9 What is the second smallest value in 19218, 0, 0.09, 1? 0.09 What is the second biggest value in 0.2, -2/3, 3985, 6, -0.3? 6 What is the smallest value in 4, 637/50, 1, 5, -3/2? -3/2 Which is the third smallest value? (a) -50 (b) -8/7 (c) 4 (d) -2 b What is the fourth biggest value in -105, 0.118, -2, -22/9? -105 Which is the fourth smallest value? (a) 4 (b) -2 (c) 21 (d) -20 (e) 0.1 a What is the biggest value in -9136, -2, -42/17? -2 What is the biggest value in 5, -5/3, -11, -2/515? 5 Which is the fourth biggest value? (a) -4 (b) 4/11211 (c) -1/7 (d) 1/4 a What is the second smallest value in -1/17, -2, 0, 6.6, 0.27? -1/17 What is the fifth biggest value in 0.4, -0.3, -18, -0.2, 3.1? -18 What is the biggest value in -0.08, 2, 40, 2/43, -3? 40 Which is the biggest value? (a) -2/17 (b) -5 (c) 195 (d) 7 c Which is the third smallest value? (a) -5 (b) -2/11 (c) -58364 b Which is the smallest value? (a) -1/5 (b) 0.4 (c) 1/2 (d) 11/6 (e) 0.1 a Which is the third biggest value? (a) -4 (b) 0.5 (c) 1235 a Which is the fourth biggest value? (a) -15 (b) 0.5 (c) 266 (d) 3/2 a What is the smallest value in -4, 0, 4188, -0.3, 1/4, 1? -4 What is the fourth smallest value in 4, -218, -3, -0.09, -0.4, 5? -0.09 Which is the smallest value? (a) -15 (b) -0.5 (c) 65 (d) 0 a What is the second biggest value in 0, 0.314246, -7, 3? 0.314246 Which is the fourth smallest value? (a) 4 (b) -0.3 (c) 22.64 (d) 10/17 c What is the sixth biggest value in -2/11, -33/7, 29, -4, -5, -0.3? -5 Which is the biggest value? (a) 0.0373 (b) -8735 (c) 0.5 c Which is the fifth biggest value? (a) 1/6 (b) -5 (c) 0 (d) 5/2 (e) -22313 e Which is the third smallest value? (a) 23.9 (b) 2 (c) -1/6 (d) 1.4 b Which is the second biggest value? (a) 5 (b) 0.4 (c) 2186808 a What is the smallest value in -0.004, 5/2, -0.2, -10, -5, -1/4? -10 What is the third biggest value in -5814, -0.1, 4? -5814 Which is the biggest value? (a) 0.3 (b) -1/2 (c) -1018326 (d) 2 d Which is the smallest value? (a) -10210 (b) 5 (c) 0.07 a Which is the third biggest value? (a) 1.35 (b) -57.14 (c) -0.4 b What is the second smallest value in 0.3, 0.5, 143371? 0.5 Which is the fifth smallest value? (a) 6/7 (b) -0.3 (c) 1 (d) 997 (e) -6 d Which is the fourth biggest value? (a) -34 (b) -1/2 (c) 19 (d) -23/5 a Which is the second biggest value? (a) -2/5 (b) -5/109 (c) -0.3 (d) 0.8 b What is the biggest value in 0.04, -0.1, -4, -1.33? 0.04 What is the third biggest value in 1/8, 5, 524/5? 1/8 Which is the smallest value? (a) 5 (b) 494 (c) 26 (d) -2/5 d Which is the third biggest va
{ "pile_set_name": "DM Mathematics" }
the i'th term of -284, -300, -308, -302, -276, -224? i**3 - 2*i**2 - 17*i - 266 What is the x'th term of 19, 70, 155, 274, 427, 614, 835? 17*x**2 + 2 What is the v'th term of 16, 64, 144, 256, 400, 576, 784? 16*v**2 What is the n'th term of -1731, -1736, -1741, -1746, -1751? -5*n - 1726 What is the u'th term of -230, -455, -678, -899? u**2 - 228*u - 3 What is the z'th term of -2, -17, -40, -71, -110, -157, -212? -4*z**2 - 3*z + 5 What is the h'th term of -335, -669, -1003, -1337, -1671? -334*h - 1 What is the r'th term of -118, -230, -318, -370, -374, -318? 2*r**3 - 126*r + 6 What is the a'th term of 68, 74, 84, 98, 116, 138, 164? 2*a**2 + 66 What is the q'th term of -49, -100, -151, -202, -253, -304? -51*q + 2 What is the a'th term of -500, -996, -1492, -1988, -2484, -2980? -496*a - 4 What is the w'th term of 1902, 1898, 1894, 1890, 1886? -4*w + 1906 What is the a'th term of -32, -168, -404, -740, -1176, -1712? -50*a**2 + 14*a + 4 What is the r'th term of 50, 74, 98, 122, 146, 170? 24*r + 26 What is the n'th term of -150, -133, -110, -75, -22, 55, 162, 305? n**3 - 3*n**2 + 19*n - 167 What is the h'th term of -225, -222, -219, -216, -213, -210? 3*h - 228 What is the k'th term of 48, 84, 120? 36*k + 12 What is the s'th term of 38, 46, 54? 8*s + 30 What is the w'th term of -33, -63, -95, -129, -165, -203, -243? -w**2 - 27*w - 5 What is the l'th term of -21, -12, 35, 126, 267, 464? l**3 + 13*l**2 - 37*l + 2 What is the o'th term of -139, -237, -347, -475, -627, -809? -o**3 - 91*o - 47 What is the p'th term of 45, 242, 577, 1056, 1685, 2470, 3417? p**3 + 63*p**2 + p - 20 What is the d'th term of 1413, 1417, 1423, 1431, 1441, 1453? d**2 + d + 1411 What is the c'th term of -104, -197, -278, -341, -380, -389, -362, -293? c**3 - 100*c - 5 What is the t'th term of 127, 132, 141, 154, 171, 192? 2*t**2 - t + 126 What is the c'th term of -181, -733, -1653, -2941, -4597? -184*c**2 + 3 What is the h'th term of -7212, -7221, -7232, -7245, -7260? -h**2 - 6*h - 7205 What is the j'th term of 186, 417, 662, 927, 1218? j**3 + j**2 + 221*j - 37 What is the n'th term of 154, 153, 150, 145? -n**2 + 2*n + 153 What is the r'th term of -209, -418, -627? -209*r What is the s'th term of -83, -102, -149, -236, -375? -2*s**3 - 2*s**2 + s - 80 What is the r'th term of -13271, -13263, -13241, -13199, -13131, -13031, -12893, -12711? r**3 + r**2 - 2*r - 13271 What is the h'th term of 1, -1, -3, -5, -7? -2*h + 3 What is the n'th term of 12, 9, -8, -45, -108, -203, -336, -513? -n**3 - n**2 + 7*n + 7 What is the n'th term of -43, -51, -63, -79, -99? -2*n**2 - 2*n - 39 What is the s'th term of -8, -2, 4? 6*s - 14 What is the c'th term of -260, -261, -262, -263, -264, -265? -c - 259 What is the n'th term of 23, -4, -55, -136, -253, -412, -619, -880? -n**3 - 6*n**2 - 2*n + 32 What is the g'th term of -7, -36, -87, -160, -255, -372, -511? -11*g**2 + 4*g What is the l'th term of -3619, -3622, -3627, -3634, -3643? -l**2 - 3618 What is the p'th term of -2484, -4968, -7452, -9936? -2484*p What is the n'th term of 36, 35, 34, 33, 32? -n + 37 What is the u'th term of -36, -55, -76, -99, -124, -151, -180? -u**2 - 16*u - 19 What is the q'th term of -407, -818, -1229, -1640, -2051, -2462? -411*q + 4 What is the p'th term of 84, 76, 54, 12, -56, -156? -p**3 - p**2 + 2*p + 84 What is the y'th term of -39, -52, -47, -18, 41, 136? y**3 + 3*y**2 - 29*y - 14 What is the h'th term of 85692, 85691, 85690, 85689, 85688? -h + 85693 What is the d'th term of -166, -330, -500, -682, -882, -1106? -d**3 + 3*d**2 - 166*d - 2 What is the k'th term of -72, -149, -226, -303, -380? -77*k + 5 What is the h'th term of -34, -70, -116, -178, -262, -374, -520, -706? -h**3 + h**2 - 32*h - 2 What is the v'th term of 1736, 3473, 5210, 6947, 8684, 10421? 1737*v - 1 What is the z'th term of 245, 492, 739, 986? 247*z - 2 What is the f'th term of -6, -41, -92, -165, -266, -401? -f**3 - 2*f**2 - 22*f + 19 What is the z'th term of 18606, 37212, 55818, 74424, 93030, 111636? 18606*z What is the o'th term of -124, -117, -106, -91, -72? 2*o**2 + o - 127 What is the i'th term of 16, 87, 206, 373, 588? 24*i**2 - i - 7 What is the m'th term of 511, 513, 515, 517, 519? 2*m + 509 What is the k'th term of 8, -5, -36, -91, -176? -k**3 - 3*k**2 + 3*k + 9 What is the m'th term of 253, 499, 745, 991, 1237, 1483? 246*m + 7 What is the t'th term of -463, -919, -1375, -1831, -2287? -456*t - 7 What is the p'th term of -4, -17, -52, -121, -236, -409? -2*p**3 + p**2 - 2*p - 1 What is the t'th term of 24, 100, 228, 408, 640, 924? 26*t**2 - 2*t What is the s'th term of -4875, -9745, -14617, -19491, -24367, -29245, -34125? -s**2 - 4867*s - 7 What is the k'th term of -259, -301, -343, -385, -427? -42*k - 217 What is the i'th term of 684, 681, 668, 639, 588, 509, 396, 243? -i**3 + i**2 + i + 683 What is the r'th term of 28, 47, 78, 121, 176, 243? 6*r**2 + r + 21 What is the d'th term of -11, -43, -133, -311, -607, -1051, -1673? -5*d**3 + d**2 - 7 What is the a'th term of 6945, 6943, 6941? -2*a + 6947 What is the a'th term of 72, 72, 64, 42, 0, -68, -168? -a**3 + 2*a**2 + a + 70 What is the a'th term of -21, -83, -213, -435, -773, -1251, -1893? -4*a**3 - 10*a**2 - 4*a - 3 What is the x'th term of -30, -65, -102, -141, -182? -x**2 - 32*x + 3 What is the f'th term of -24, -126, -392, -900, -1728? -13*f**3 - 4*f**2 + f - 8 What is the a'th term of -16, -38, -74, -124, -188, -266, -358? -7*a**2 - a - 8 What is the k'th term of 11851, 23701, 35551, 47401, 59251? 11850*k + 1 What is the g'th term of -332, -665, -998, -1331, -1664? -333*g + 1 What is the k'th term of -190, -196, -216, -256, -322, -420, -556? -k**3 - k**2 + 4*k - 192 What is the s'th term of -51, -73, -103, -147, -211, -301, -423? -s**3 + 2*s**2 - 21*s - 31 What is the r'th term of 3, 24, 57, 102, 159? 6*r**2 + 3*r - 6 What is the j'th term of 2543, 2545, 2557, 2585, 2635, 2713? j**3 - j**2 - 2*j + 2545 What is the a'th term of 140, 530, 1174, 2066, 3200? -a**3 + 133*a**2 - 2*a + 10 What is the w'th term of 349, 288, 129, -176, -675? -8*w**3 - w**2 - 2*w + 360 What is the n'th term of 24, 46, 84, 138, 208, 294, 396? 8*n**2 - 2*n + 18 What is the q'th term of 187, 178, 155, 112, 43, -58, -197? -q**3 - q**2 + q + 188 What is the i'th term of -76, -154, -222, -274, -304, -306, -274, -202? i**3 - i**2 - 82*i + 6 What is the h'th term of 234, 229, 214, 183, 130, 49, -66? -h**3 + h**2 - h + 235 What is the p'th term of 88, 175, 266, 361? 2*p**2 + 81*p + 5 What is the o'th term of -2, 0, -6, -26, -66, -132, -230? -o**3 + 2*o**2 + 3*o - 6 What is the b'th term of -12, -54, -126, -228, -360? -15*b**2 + 3*b What is the b'th term of 42, 78, 108, 126, 126, 102, 48, -42? -b**3 + 3*b**2 + 34*b + 6 What is the c'th term of 837, 1681, 2525, 3369, 4213? 844*c - 7 What is the h'th term of -90, -346, -770, -1362, -2122, -3050? -84*h**2 - 4*h - 2 What is the q'th term of -63, -131, -197, -261, -323? q**2 - 71*q + 7 What is the p'th term of 671, 1343, 2015? 672*p - 1 What is the h'th term of 86, 88, 90, 92, 94, 96? 2*h + 84 What is the v'th term of 69, 73, 77, 81, 85, 89? 4*v + 65 What is the o'th term of 69, 140, 211? 71*o - 2 What is the u'th term of -56, -107, -156, -203, -248, -291, -332? u**2 - 54*u - 3 What is the j'th term of -134, -270, -406? -136*j + 2 What is the i'th term of 9, 38, 69, 102, 137, 174? i**2 + 26*i - 18 What is the t'th term of -587, -1164, -1749, -2348, -2967, -3612? -t**3 + 2*t**2 - 576*t - 12 What is the h'th term of 60, 87, 126, 183, 264, 375, 522? h**3 + 20*h + 39 What is the b'th term of 274, 602, 930, 1258? 328*b - 54 What is the o'th term of 9, 81, 217, 429, 729, 1129, 1641? 2*o**3 + 20*o**2 - 2*o - 11 What is the q'th term of 17, 29, 37, 41, 41? -2*q**2 + 18*q + 1 What is the f'th term of -95, -185, -273, -359? f**2 - 93*f - 3 What is the y'th term of 20, 34, 70, 140, 256, 430? 2*y**3 - y**2 + 3*y + 16 What is the f'th term of 446, 1786, 4018, 7142? 446*f**2 + 2*f - 2 What is the l'th term of -353, -693, -1033, -1373, -1713? -340*l - 13 What is the x'th term of -8, -12, -6, 16, 60, 132, 238? x**3 - x**2 - 8*x What is the x'th term of -1039, -2092, -3145? -1053*x + 14 What is the z'th term of -658, -659, -660, -661, -662, -663? -z - 657 What is the k'th term of -19, -35, -49
{ "pile_set_name": "DM Mathematics" }
v) + o(v). Differentiate z(w) with respect to w. -4*w**3 + 16*w Find the third derivative of 81403*x**3 - 431*x**2 - 218*x**4 - 81403*x**3 wrt x. -5232*x Let q(p) = -8*p**3 + p**2 - p - 4. Let d be q(-2). Suppose 5*b + 6 = d. Find the third derivative of 4*i**6 - 3*i**6 - 14*i**2 + b*i**2 + 0*i**6 wrt i. 120*i**3 What is the first derivative of 11*b**4 - 59*b + 60*b - 53 + 8 - 9*b**4 wrt b? 8*b**3 + 1 Let p(w) = 624*w**4 + 135*w**2 + 21*w. Let d(g) = 125*g**4 + 27*g**2 + 4*g. Let a(r) = -21*d(r) + 4*p(r). What is the third derivative of a(b) wrt b? -3096*b Let x(y) be the first derivative of 56*y**4 + 319*y**3/3 + 211. What is the third derivative of x(q) wrt q? 1344 Let b(u) be the first derivative of 107*u**4/4 + u**2 - 171. What is the second derivative of b(r) wrt r? 642*r Let f(c) be the second derivative of -413*c**6/30 - 291*c**2 + 14*c + 28. Differentiate f(a) wrt a. -1652*a**3 Suppose 4*p = -3*d + 539, 2*d - 2*p - 173 = d. What is the third derivative of -d*o**2 + 206*o**2 - 5*o**6 - 12*o**6 wrt o? -2040*o**3 Let m(c) be the first derivative of 40*c**5 - 18*c**2 - c + 80. What is the second derivative of m(w) wrt w? 2400*w**2 Let r(i) be the first derivative of 4*i**5/5 + 11*i**4/6 - 3*i - 7. Let p(f) be the first derivative of r(f). What is the third derivative of p(h) wrt h? 96 Find the first derivative of -45*q + 16*q + 62 + 18*q - 26*q**2 + q**3 + 11*q wrt q. 3*q**2 - 52*q Let z(k) = -9*k**3 - 5*k**2 - 140*k - 457. Let o(q) = -5*q**3 - 2*q**2 - 69*q - 229. Let s(d) = 5*o(d) - 2*z(d). Differentiate s(n) with respect to n. -21*n**2 - 65 Let p(s) = s**3 + s**2 - s - 1. Let h(x) = -145*x**3 - 4*x**2 + 4*x - 172. Let v(l) = h(l) + 4*p(l). Differentiate v(g) wrt g. -423*g**2 Let a be (3/(54/(-60)))/(2/(-3)). Find the third derivative of -9*t**a + 1322*t**2 - 13*t**5 - 1323*t**2 wrt t. -1320*t**2 Let a be -3*(-4)/(-30)*-10. Let m = a - -7. What is the first derivative of m*g**4 - 4*g**4 + 17 - 10 wrt g? 28*g**3 Let c(t) = 63*t**5 + 2*t**3 - 4*t**2 + t + 354. Let q(g) = g**5 - g**3 + 1. Let b(d) = c(d) + 2*q(d). What is the second derivative of b(z) wrt z? 1300*z**3 - 8 Find the third derivative of -46*j**2 - 25*j**2 + 3 - 5*j**5 + 68*j**4 + 65*j**4 - 39*j**4 wrt j. -300*j**2 + 2256*j Suppose -3*i + 8*i - 20 = 0. What is the first derivative of 2 - 11*k**2 - i - 9 + 1 wrt k? -22*k Let l(f) = -12 - 4*f - 3 + 5*f**2 + f**3 - 5*f + 0*f**3. Let o be l(-6). Find the third derivative of -690*u**3 - 4*u**6 + 690*u**o - u**2 - 2*u**6 wrt u. -720*u**3 Suppose 4*i = 6*i - 6. Differentiate 15*a**3 + 18*a**3 + 2*a**i - 9 wrt a. 105*a**2 What is the second derivative of -33*b**2 - 42*b + 56*b + 4 - 3 wrt b? -66 Let m = -1 + 3. Let v be m + (-6)/2 + 5. What is the second derivative of c**v - c - 4*c**4 + 2*c wrt c? -36*c**2 Let m(d) = d**4 - d. Let w(l) = -14*l**5 + l**4 - 8*l + 6. Let x(b) = -4*m(b) + w(b). Find the second derivative of x(i) wrt i. -280*i**3 - 36*i**2 Let s(b) be the first derivative of 25*b**4/4 + 7*b**3 + 137. What is the third derivative of s(g) wrt g? 150 Find the third derivative of 37*u - 11*u**2 + 43*u - 80*u - u**3 + 19*u**4 + 3 wrt u. 456*u - 6 Let x(p) be the second derivative of -p**4/6 + 53*p**3/6 - 55*p**2/2 - 3*p - 21. What is the derivative of x(j) wrt j? -4*j + 53 Let j(m) be the first derivative of 2*m**5/5 + 28*m**3/3 - m**2/2 + 335*m - 386. What is the second derivative of j(t) wrt t? 24*t**2 + 56 Suppose 0*r + 3*r = -t + 11, -5*r + 5*t = 15. Let p be ((-27)/12 - -2)*-8. What is the second derivative of -4*g**2 - 9*g**4 - r*g**p + 6*g**2 + 2*g wrt g? -108*g**2 Suppose 2*q + 4*l - 62 = -0*q, 0 = 5*l - 25. Suppose 4*b + p - 26 = 0, -4*b + 7 + q = 2*p. What is the first derivative of -b + 5*g**3 - 15*g**3 - 3 wrt g? -30*g**2 What is the second derivative of q**2 - q + 6 + 0 - q**5 - 7*q**5 - 17*q**5 wrt q? -500*q**3 + 2 Let q be 66/4*8/6. Let o = 26 - q. What is the second derivative of -814*x**4 + 7*x + 814*x**o - 11*x**5 wrt x? -220*x**3 Let y(q) = -2*q**3 - 3*q**2 - 3*q - 41. Let o(t) = 3*t**3 + 2*t**2 + 2*t + 41. Let c(s) = -3*o(s) - 2*y(s). Differentiate c(f) wrt f. -15*f**2 Let j be 2*(-3)/2 - -5. Suppose -18 = -2*b + 5*i, -4*b + 0*b = -3*i - 22. What is the derivative of b*a**j + 1 + 315*a - 315*a wrt a? 8*a Let q(x) = -16*x**3 + 3*x**2 - 2*x + 430. Let n(o) = -19*o**3 + 4*o**2 - 3*o + 428. Let r(y) = 2*n(y) - 3*q(y). What is the third derivative of r(k) wrt k? 60 Differentiate 310*j**4 - 36630*j**2 + 9 + 149 - j**3 + 36630*j**2 with respect to j. 1240*j**3 - 3*j**2 What is the third derivative of 483*n**3 + 185*n**5 - 488*n**3 - 793*n**2 - 211*n**5 wrt n? -1560*n**2 - 30 Differentiate 5503*z**2 + 20*z**3 - 104 - 5503*z**2 wrt z. 60*z**2 Let o(p) be the third derivative of -37*p**8/28 - 77*p**5/60 + 297*p**2. What is the third derivative of o(n) wrt n? -26640*n**2 Let p(f) = -392*f + 2. Let v(l) = 398*l - 2. Let r(d) = 6*p(d) + 5*v(d). Differentiate r(j) with respect to j. -362 What is the third derivative of 78*l**2 + 77*l**2 - 145*l**2 + 7*l**3 wrt l? 42 Let n be 23/1 - 2*(-3)/6. Find the third derivative of -21*g**2 + n*g**2 - 6 + 7*g - 7*g - 24*g**6 wrt g. -2880*g**3 Let c = -143 - -147. What is the first derivative of -21 - 50*u**c - 54 + 28 wrt u? -200*u**3 Let j(a) be the second derivative of -67*a**3/6 + 62*a**2 - 49*a. Differentiate j(b) wrt b. -67 Let f(s) be the second derivative of 3*s**5/5 + s**4/12 - 5*s**3/3 - 3*s**2/2 - s - 4. Find the second derivative of f(l) wrt l. 72*l + 2 Suppose -3*m = -8*m + 2*j + 45, 34 = 4*m - 2*j. Find the second derivative of -i + 23 + m*i**5 - 23 - i wrt i. 220*i**3 Let p(f) = -f**3 + 5*f**2 - 2*f + 4. Let x be (12/(-14))/((-6)/28). Let w be p(x). What is the second derivative of -4*a**2 - 5*a + 7*a**2 + 5*a**2 + w*a wrt a? 16 Suppose -3*i - 15 = -8*i. Let p(l) = -l - 5. Let y be p(-9). What is the second derivative of 16*u**4 - 7*u**y - 6*u**4 - i*u + u wrt u? 36*u**2 Let c(y) be the first derivative of -7*y**4/2 - 346*y + 172. Find the first derivative of c(m) wrt m. -42*m**2 Let j(s) be the third derivative of -3*s**9/56 + s**8/336 + 5*s**5/4 - s**2 + 42. What is the third derivative of j(y) wrt y? -3240*y**3 + 60*y**2 Let d(a) be the second derivative of 5*a**5/4 + a**3/3 - 88*a**2 + 6*a + 2. What is the derivative of d(q) wrt q? 75*q**2 + 2 Let f(h) = -h**4 + 34*h**2 + 182*h + 17. Let n(x) = -12*x**2 - 61*x - 6. Let z(s) = 6*f(s) + 17*n(s). What is the second derivative of z(v) wrt v? -72*v**2 Let s(h) be the third derivative of -h**7/105 + 4*h**6/5 - 103*h**3/2 + 298*h**2. What is the derivative of s(z) wrt z? -8*z**3 + 288*z**2 Let w(v) be the first derivative of -v**10/840 - v**6/180 + 3*v**3 + 12. Let h(b) be the third derivative of w(b). What is the third derivative of h(j) wrt j? -720*j**3 Let q be 26/10 - 6/10. Let w = q - -9. What is the derivative of 0 + 0*h**2 - 9 + 0*h**2 - w*h**3 wrt h? -33*h**2 What is the third derivative of 1351*m + 297*m**2 - 1351*m + 380*m**5 wrt m? 22800*m**2 Suppose 5*d - 5 = 2*m + 2, -2*d = -5*m + 14. Let s be -4 + d - 0 - -3. Differentiate -4*i - i - 1 - s with respect to i. -5 Let l(n) = 31*n + 8. Let m(o) = -32*o - 8. Let i(a) = 7*l(a) + 6*m(a). Differentiate i(w) wrt w. 25 Let f be ((-2)/6)/(12/(-36)). Let b be 15*1/3 - f. Find the second derivative of 71*l**b - 3*l**5 - 71*l**4 + 9*l wrt l. -60*l**3 Let v(z) be the third derivative of z**9/6720 - z**6/20 - 7*z**5/15 - 3*z**2. Let a(b) be the third derivative of v(b). What is the derivative of a(n) wrt n? 27*n**2 Let f(j) be the first derivative of j**7/42 + 16*j**3/3 + 33*j - 22. Let z(g) be the first derivative of f(g). What is the second derivative of z(l) wrt l? 20*l**3 Let v(p) be the third derivative of 0*p**4 + 5/2*p**3 - 7/60*p**5 + 23*p**2 + 0 + 0*p. Differentiate v(k) wrt k. -14*k Let q = 5 + -5. Suppose 5*g = 5*v - 335, -5*v + 2*g = -q*g - 329. What is the second derivative of -35*x - 33*x + v*x + 6*x**4 wrt x? 72*x**2 Let j(s) be the second derivative of s**6/10 + s**5 + 4*s**3/3 - 12*s + 4. Find the second derivative of j(g) wrt g. 36*g**2 + 120*g Let q(p) be the second derivative of 0 + 0*p**2 - 5/6*p**3 + 5/2*p**4 - 48*p. Find the second derivative of q(x) wrt x. 60 Suppose t - 5*t + 20 = 2*u, -3*u = 4*t - 40. Differentiate 5 - 9 + 2*i + u wrt i. 2 Let
{ "pile_set_name": "DM Mathematics" }
c**3. -c**3 + c**2 + 64 Collect the terms in 182344507 + 4*y**3 - 182344507. 4*y**3 Collect the terms in -6*r - 20*r**2 - 187 + 187. -20*r**2 - 6*r Collect the terms in -10837*x**3 + 3530*x**3 - 6706*x**3. -14013*x**3 Collect the terms in -2*q**2 + 3201 - 772 + 1205 + 411. -2*q**2 + 4045 Collect the terms in -10*i + 20 - 14 + 9. -10*i + 15 Collect the terms in -z**2 + 2057*z - 1028*z - 1029*z. -z**2 Collect the terms in -6577 + 286*s**2 + 6577 - 286*s**2 + 5*s**3. 5*s**3 Collect the terms in 33414*z - 16708*z - 1 - 16702*z + 1. 4*z Collect the terms in 19*d**3 + 11105*d - 11105*d. 19*d**3 Collect the terms in -10*h + 4907429 + 8*h - 4907433. -2*h - 4 Collect the terms in 13 + 397*f - 26 + 13. 397*f Collect the terms in 142*y + 23*y + 76*y - 54*y. 187*y Collect the terms in 136*f**2 - 1 + 46*f**2 + 1. 182*f**2 Collect the terms in 59 + 2*g**2 + 0*g**2 - 16 - 28 - 15. 2*g**2 Collect the terms in -65 + 217 - 75 - 77 + 5*l**2. 5*l**2 Collect the terms in 88*p - 238*p - 3*p**2 + 2*p**2 + 150*p + p**2 + p**2. p**2 Collect the terms in -38*b**2 - 165*b**2 - 1170 + 2343 - 1173. -203*b**2 Collect the terms in 831*s + 13*s**2 - 831*s. 13*s**2 Collect the terms in 9396 - 4697 - 2*f + 3*f**2 + 2*f - 4699. 3*f**2 Collect the terms in 3*d + 23*d - 32*d - 2*d**3. -2*d**3 - 6*d Collect the terms in -4 + 34*d + 6 - 12*d. 22*d + 2 Collect the terms in 2*q + 2*q - 3*q + 15 + 7*q - q. 7*q + 15 Collect the terms in -1594*p**2 + 68*p**3 + 1594*p**2. 68*p**3 Collect the terms in -9454903*s + 9454903*s - 4*s**3. -4*s**3 Collect the terms in -4*r + 16 + 63 - 45. -4*r + 34 Collect the terms in 283*l**2 - 1900 + 1900. 283*l**2 Collect the terms in 15*w**3 + 12*w**3 + 13*w**3 - 42*w**3 + 11*w**3. 9*w**3 Collect the terms in -23*f**2 - 49*f**2 + 40*f - 75*f + 35*f. -72*f**2 Collect the terms in 5*b**2 + 228*b**3 - 1520*b**3 - 5*b**2. -1292*b**3 Collect the terms in -349*y**2 - 307*y**2 - 158*y**2. -814*y**2 Collect the terms in 49*f**3 - 63*f**3 + 2*f**3. -12*f**3 Collect the terms in -22*b**2 - 638871*b**3 + 319432*b**3 + 319435*b**3. -4*b**3 - 22*b**2 Collect the terms in -644*h - 1534*h**3 + 644*h - 206*h**3. -1740*h**3 Collect the terms in -12 + 10*i**3 + 5 - 7*i**3 + 7 - i**3. 2*i**3 Collect the terms in -91 - 20*k + 38 + 50 + 3. -20*k Collect the terms in 2 - 150*m + 403*m - 143*m - 2 - 132*m. -22*m Collect the terms in -45*p**2 + 240*p**2 + 236*p**2 + 737*p**2. 1168*p**2 Collect the terms in 98*z**2 - 76*z**2 + 558*z**2. 580*z**2 Collect the terms in -1582*j - 1574*j - 3*j**3 + 3161*j. -3*j**3 + 5*j Collect the terms in 143*p - 47*p - 39*p - 49*p. 8*p Collect the terms in 7732*z + 7745*z - 15451*z. 26*z Collect the terms in 40*l**2 - l**2 - 10*l**2 - 26*l**2 + 2*l**3 - 3*l**2. 2*l**3 Collect the terms in -21*k**2 - 17*k**2 + 100*k**2 - 57*k**2. 5*k**2 Collect the terms in g + 8694*g**3 - 17391*g**3 - g + 8695*g**3. -2*g**3 Collect the terms in 131 + v + 119 + 30 - 61. v + 219 Collect the terms in 1893140*q**3 - 947255*q**3 - 945882*q**3. 3*q**3 Collect the terms in 3*v - 1407 - 1399 - 1403 + 5612 - 1403. 3*v Collect the terms in -224*h - 219*h - 304*h - 8*h**3 + 747*h. -8*h**3 Collect the terms in 177 + 3*l + 552 + 781. 3*l + 1510 Collect the terms in 4476*v**2 - 1494*v**2 - 1497*v**2 - 1491*v**2. -6*v**2 Collect the terms in -4782*n - 132*n**2 + 130*n**2 + 21*n**3 + 4782*n. 21*n**3 - 2*n**2 Collect the terms in -14 - 275*u + 273*u - 5. -2*u - 19 Collect the terms in 2574*v - 2574*v + 100*v**3 + 4*v**3. 104*v**3 Collect the terms in -3*i**3 + 1 - 56 + 38 + 17. -3*i**3 Collect the terms in 6430*i**3 - 12875*i**3 + 6444*i**3. -i**3 Collect the terms in 70*h**2 + 35*h**2 + 51*h**2 - 46*h**2. 110*h**2 Collect the terms in -5515*j**2 + 13*j**3 + 5505*j**2 - 9*j**3. 4*j**3 - 10*j**2 Collect the terms in -7290*r**3 - 1517*r**3 - 14556*r**3. -23363*r**3 Collect the terms in -9664*i - 9674*i + 19332*i. -6*i Collect the terms in 939 + 581 + 15*c**3 - 1520. 15*c**3 Collect the terms in -1544*c - 80*c - 619*c. -2243*c Collect the terms in -409*x**2 + 10 - 22 + 12 + 440*x**2. 31*x**2 Collect the terms in 469 - 469 + 56*u**2. 56*u**2 Collect the terms in 51 + 34 - 161 + 56 + 46 + 2*a. 2*a + 26 Collect the terms in -2*q**2 + 533*q - 18 - 533*q + 0*q**2. -2*q**2 - 18 Collect the terms in -3*y - 70890*y**2 + 3*y + 70891*y**2. y**2 Collect the terms in -45 + 29*t - 44 + 8*t - 38*t. -t - 89 Collect the terms in 464*w**3 - 465*w**3 - 15*w + 44*w. -w**3 + 29*w Collect the terms in -23*a**3 + 3*a**3 - 11*a**3 + 7*a**3. -24*a**3 Collect the terms in -13*m + 28*m - 14*m - 15*m - 5*m**2. -5*m**2 - 14*m Collect the terms in -315*v + 725*v - 434*v - 1058*v - 1136*v. -2218*v Collect the terms in -10 + 220*q - 6 + 237*q - 459*q. -2*q - 16 Collect the terms in 3 + 583 + 4*k**2 - 74 + k**2. 5*k**2 + 512 Collect the terms in 47*b**3 - 380 + 178 + 202. 47*b**3 Collect the terms in -26*n + 746*n + 1705*n + 667*n - 186*n. 2906*n Collect the terms in -473*q - 1 + 1365*q + 1. 892*q Collect the terms in -83*w**2 + 172*w**2 + 11*w**2. 100*w**2 Collect the terms in 18213*z + 61976*z + 1008168*z. 1088357*z Collect the terms in 29*m + 43*m + 26*m - 103*m. -5*m Collect the terms in 5*a + 17*a + 2 + 13*a - 13*a. 22*a + 2 Collect the terms in -332 - 340 + 966 + 2*y**3 - 294. 2*y**3 Collect the terms in -10*a - 6*a + 5*a + 8*a. -3*a Collect the terms in 7*f**3 - 102700*f**2 + 4*f**3 + 102693*f**2. 11*f**3 - 7*f**2 Collect the terms in 3 - 9 - 6 - 9 - 37 + 2*z. 2*z - 58 Collect the terms in 12020*k**3 - 6*k**2 + 4*k**2 + 2*k**2 - 12024*k**3. -4*k**3 Collect the terms in -15*m**2 + 311*m - 435*m + 124*m - 2*m**2. -17*m**2 Collect the terms in 250*w**2 - 325*w**2 + 78*w**2. 3*w**2 Collect the terms in -805 - 813 - 9*p + 1618 - 41*p. -50*p Collect the terms in -367 - 3*v - 83 - 253 - 566. -3*v - 1269 Collect the terms in -97*r**2 + 81*r**3 + 97*r**2. 81*r**3 Collect the terms in 1493*o**2 - 559*o**2 - 2*o + 740*o**2 + 1 + 792*o**2 - 4. 2466*o**2 - 2*o - 3 Collect the terms in -654831*c + 327418*c + 327411*c. -2*c Collect the terms in 25 + 11*p**2 - 5*p + 4*p + 45 - 335. 11*p**2 - p - 265 Collect the terms in 41*h - 42*h + 5 + 6 + 4. -h + 15 Collect the terms in 34*u - 34*u - 211*u**2 - 1311*u**2. -1522*u**2 Collect the terms in -7*h + 48*h + 73*h - 12*h - 2*h. 100*h Collect the terms in 650 - 1291 + 20*l**3 + 641. 20*l**3 Collect the terms in 27 + 2*r - r + 117 - 144 + 2*r. 3*r Collect the terms in -22*k**2 - 4934*k**3 + 2564*k**3 + 2368*k**3 + 22*k**2. -2*k**3 Collect the terms in -686581 + 686581 - 49*u - 46*u + 101*u. 6*u Collect the terms in 1199*b**2 - 2395*b**2 + 1196*b**2 - 11*b**3. -11*b**3 Collect the terms in 2*j - 9009*j**3 + 1 - 2 + j. -9009*j**3 + 3*j - 1 Collect the terms in -55*q**2 - 67*q**2 + 256*q**2 - 80*q**2 - 85*q**2. -31*q**2 Collect the terms in 0*r**2 - r**2 - 254*r + 254*r + 21. -r**2 + 21 Collect the terms in 2094198*x + 4*x**3 - 2094198*x. 4*x**3 Collect the terms in 27*z**3 + 140*z**3 + 86*z**3 + 2 - 1 + 24*z**3. 277*z**3 + 1 Collect the terms in 38*t - 38*t - 2577*t**2 + 2535*t**2. -42*t**2 Collect the terms in 45*r - 210*r - 149*r + 41*r. -273*r Collect the terms in -230153 + 230153 + 32*d. 32*d Collect the terms in 35*d**2 + 49*d**2 - 135*d**2 + 29*d**2 + 42*d**2. 20*d**2 Collect the terms in -679*l**3 + 693*l**3 + 5 - 5. 14*l**3 Collect the terms in -6*h - h - 8*h + 4*h - 2*h. -13*h Collect the terms in -58 - 25*w**3 + 58 - 25*w**3 + 80*w**3 - 28*w**3. 2*w**3 Collect the terms in -2*v - 2 - 11*v**2 - v + 6*v - 1. -11*v**2 + 3*v - 3 Collect the terms in 3794*t + 50 - 27 - 23. 3794*t Collect the terms in 116 - 251*k**2 - 116 + 972*k**2. 721*k**2 Collect the terms in -6*f + 491 - 1464 + 490 + 485. -6*f + 2 Collect the terms in 15*r**2 + 4 - 1 - 4*r - 2. 15*r**2 - 4*r + 1 Collect the terms in 86052*z**2 - 43030*z**2 - 43023*z**2. -z**2 Collect the terms in 11*x + 16*x**2 + 12*x**2 - 6*x**2 - 13*x + 8*x**2. 30*x**2 - 2*x Collect the terms in 393102*c - c**3 - 196558*c - 196544*c. -c**3 Collect the terms in -6*f + 40*f + 6*f**2 - 7*f**2. -f**2 + 34*f Collect the terms in -1060*o**2 + 536*o**2 + 516*o**2. -8*o**2 Collect the terms in 7089479 + 157*s**2 - 7089479. 157*s**2 Collect the terms in -3*p + 10*p - 8*p - 6*p. -7*p Collect the terms in -50*n**2 - 2*n + n + 59*n**3 + 95*n**2 -
{ "pile_set_name": "DM Mathematics" }
. 23 Let y be (399/(-12))/((-1)/4). Suppose -r + 5*l - 8 + 7 = 0, r - 39 = -5*l. What is the greatest common divisor of r and y? 19 Suppose -5*g + 239 = -206. Suppose 4*o - 7 = g. Suppose 0 = v - 3*r + 12, -3*v + 7*r - 2*r = 16. What is the greatest common divisor of o and v? 3 Suppose -8*z - 9 = -11*z. Calculate the highest common factor of z and 8. 1 Let a = -490 + 511. Calculate the greatest common factor of a and 3. 3 Let j be (-9)/(-21) + 6640/56. Suppose 4*t - 66 = -y, 4*t - 5*t - y + 15 = 0. What is the greatest common factor of t and j? 17 Let f be (45/6 + -8)/(2/372). Let x = f + 113. Calculate the greatest common divisor of x and 5. 5 Suppose -1 = -3*l - c + 10, -l = -3*c + 13. Let p = l - -34. Suppose 4*s = -4*x + p, -3*s - 6 = -3. Calculate the greatest common factor of x and 30. 10 Let b(s) = -s - 9. Let j be b(-6). Let w be 0/(j + 5) + 4. Let q be w - 4 - (1 - 77). What is the highest common factor of q and 19? 19 Let f = 35 - 31. Let n(m) = 25*m - 10. Let x be n(f). Calculate the highest common factor of 18 and x. 18 Let r(f) = -5*f + 35. Let b(c) = -3*c + 23. Let p(x) = 8*b(x) - 5*r(x). Let j be p(6). Let l = 45 - j. Calculate the greatest common divisor of 240 and l. 30 Let n be 15*-5*(-2 - (-96)/45). Let i be (5/n)/(2/(-168)). What is the greatest common factor of 56 and i? 14 Let p be ((-24)/16)/(1/(-58)). Suppose -q + 3*s = -64, 5*q - 246 = -3*s + 38. Calculate the highest common factor of p and q. 29 Suppose 460 = 2*a + 2*a. Suppose -2*q = 5*j - a, -161 = -4*j + 4*q - 41. Let b be j*-3*1*-1. Calculate the greatest common factor of 50 and b. 25 Suppose 8*x - x - 14 = 0. Suppose -4*r + 20 = x*z, -r = -2*z - 0*r + 10. Let d be (2/6)/(z/108). What is the greatest common divisor of d and 15? 3 Suppose 14 = 7*d - 7. Let q be 40/d*81/36. What is the highest common divisor of q and 45? 15 Let n(o) = 3*o + 54. Let j be n(-18). Suppose j = 7*p - 121 - 264. Let b = 18 + -13. What is the highest common factor of p and b? 5 Let b(j) = 4*j - 26. Let r be b(12). Calculate the greatest common factor of r and 33. 11 Suppose -y = 4*s + 72, -4*s - 72 = -0*s - 3*y. Let g = 37 + s. What is the greatest common factor of g and 1? 1 Let j be 558/10 - (-1)/5. Suppose -44*d + 47*d = 42. What is the greatest common factor of j and d? 14 Suppose -2*d - 4*z = -76, -168*d - 134 = -173*d + 4*z. Let w = -6 - -9. What is the highest common factor of d and w? 3 Let f be (1 - -2) + 37 + -32. What is the greatest common divisor of f and 392? 8 Let t(b) = -b**2 - 5*b - 49. Let a be t(-7). Let x = a - -91. Let w(z) = -14*z**3 + z + 1. Let o be w(-1). Calculate the highest common factor of o and x. 14 Let x(i) be the first derivative of 4*i**2 + 7*i - 9. Let u be x(4). What is the greatest common divisor of u and 13? 13 Suppose -5*h + 3*t + 19 + 36 = 0, -11 = -h - t. Let w be (4 + 0)*(h - -1). Calculate the greatest common divisor of 32 and w. 16 Suppose 60 = 108*w - 103*w. Calculate the highest common divisor of 324 and w. 12 Let v(n) = -2*n**3 - n**2 - 2*n - 3. Let l = -7 - -4. Let t be v(l). Let c = 2032 + -2016. What is the highest common factor of c and t? 16 Let o(b) = 83*b + 2*b - 2 + 1. Let i be o(1). Suppose 6 = -5*f + 66. Calculate the highest common divisor of i and f. 12 Suppose -56 = 3*h - f - 165, 3*f = h - 23. Suppose -3*m = -h - 61. What is the greatest common factor of m and 264? 33 Let f = 98 - 202. Let p be ((-4)/(-6) - f/(-39)) + 82. What is the greatest common factor of 120 and p? 40 Let w = 40 + -23. Let d = -11 + w. Suppose -d*c = -5*c - 140. What is the highest common divisor of 20 and c? 20 Let f(o) = 3*o**2 - 13*o - 2. Let q be f(7). Calculate the highest common divisor of 729 and q. 27 Let j be -1 - (36/(-2))/2. Suppose 14 = 3*f - f - 4*g, f = g + j. Suppose f*w - 96 = 5*w. Calculate the greatest common factor of w and 36. 12 Suppose 4*x - 12 = 12. Suppose -3*w + 4 = -32. Calculate the highest common factor of w and x. 6 Let k(u) = 4*u**2 - 3. Let z = 12 + -10. Let o be k(z). Calculate the highest common divisor of 26 and o. 13 Let g = 3 + -1. Suppose -x = -36 - g. Calculate the highest common divisor of x and 152. 38 Suppose 0 = -17*p + 22*p - 1650. What is the greatest common factor of 605 and p? 55 Let n(s) = s**3 - 7*s**2 - 8*s + 10. Let l be n(8). Let j = l + -6. What is the highest common divisor of 12 and j? 4 Let q(o) = 5*o + 1. Let k be q(2). Let w = k - 7. Suppose -5*d + 3*c = -67, 5*d = -0*c + w*c + 66. What is the greatest common divisor of d and 56? 14 Let j be 3 + (2 - 3) + 14. Let v = 51 + -27. Let r = v - -24. Calculate the greatest common factor of j and r. 16 Suppose 10*l - 7098 = -16*l. What is the highest common divisor of l and 39? 39 Let y(m) = 3*m + 2*m**2 + 1 - m - 37*m**2. Let d be y(-1). Let i be 7*(d/(-28) - -3). What is the greatest common divisor of 120 and i? 30 Suppose -5*y + 0*q = 4*q - 2904, 5*q = -3*y + 1745. Calculate the greatest common divisor of 58 and y. 58 Let z(m) = m**2 + 5*m + 4. Let i be z(-6). Suppose -3*l - l + 200 = 0. Let d be l*(-1 + 1 + 12/24). Calculate the greatest common divisor of i and d. 5 Suppose 3*t - 92 + 17 = 0. Let v be 4 - (-6 + (-3 - -3) + 3). Suppose -q - v = -3*q - a, -a = 5*q - t. Calculate the highest common divisor of q and 12. 6 Let s be (70/21)/((-2)/(-27)). Suppose 5*q = q. Suppose 0*k - 3*k + 29 = -2*m, -4*m - 4 = q. Calculate the highest common divisor of s and k. 9 Let q(k) = 17*k - 140. Let r be q(9). Let j be (2/(-2))/(3/(-429)). What is the highest common factor of r and j? 13 Let p = 85 - 65. Suppose -16*x - 100 = -p*x. Calculate the greatest common divisor of 225 and x. 25 Let k be (-16)/(-12)*(-12)/1. Let x be (-3 - k/12)*-60. Suppose 4*n = 5*o - 200, -2*o + 7*o = 5*n + 200. What is the greatest common divisor of x and o? 20 Let b be (-6288)/(-64) + 2/(-8). Calculate the highest common factor of 1127 and b. 49 Let p = -554 - -659. What is the greatest common factor of p and 7? 7 Let p be (12/(-10))/((-3)/50). Suppose a - 9 = -2*a, 3*d - 3 = a. Suppose -d*o = 8, 34 = 4*i + 2*o + 10. What is the highest common factor of i and p? 4 Suppose -4*n - n + 340 = 0. Let m = 76 - n. Calculate the highest common factor of 56 and m. 8 Let q = -48 + 201. Let w = -145 + q. Calculate the highest common divisor of w and 4. 4 Let u(l) be the second derivative of -l**5/20 + 4*l**4/3 + l**3/3 - 9*l**2 + l + 1. Let s be u(16). What is the greatest common divisor of s and 224? 14 Let j(b) be the first derivative of b**4/4 - 2*b**3/3 - b**2/2 + 2*b - 6. Let w be j(3). Calculate the highest common factor of w and 40. 8 Suppose 0 = -103*l + 2906 + 24698. What is the greatest common divisor of l and 402? 134 Let k be 6 - ((-20)/(16/(-4)) + -2). Suppose 3*n - 381 = -k*c - 0*n, 5 = -n. Calculate the greatest common divisor of 12 and c. 12 Suppose 6*l - 3*l - 15 = 0. Suppose -2*h = -4*m - 0*m + 12, 0 = l*m + 3*h - 26. Let r be (-34)/(-9) + 2/9. Calculate the greatest common divisor of m and r. 4 Let i = -32 + 36. Suppose -5 = -z, -m + 3*z + 3 + i = 0. Calculate the greatest common factor of m and 110. 22 Let t be -3 + 2/2 + 48. Suppose -4*q + 274 = -2*m, 2*q + m - 142 = -3*m. Calculate the highest common factor of t and q. 23 Let a = -61 - -233. Suppose 0 = n - 134 - a. Suppose 4*y - o - 10 = n, -4*y + 4*o + 328 = 0. What is the highest common factor of 13 and y? 13 Suppose 9*v = 5*v + 8. Let c = v - -11. What is the greatest common divisor of c and 13? 13 Suppose -23*b = -29*b + 120. What is the highest common factor of b and 180? 20 Let s = 58 - 17. Let c = s - 29. Let w be (-2)/7 - (-90)/21. What is the highest common divisor of w and c? 4 Let m(d) = d**3 - 2*d**2 + 4. Let q be m(0). Suppose 4*i = -3*f + 53, f - 16 - 15 = -q*i. What is the highest common divisor of f and 187? 11 Let c(d) = d**3 + 18*d**2 - 3*d. Let p be c(-18). What is the greatest common divisor of p and 108? 54 Suppose 2*b = -0*b - 2*k + 42, -95 = -5*b + 5*k. Let v = b + 78. Calculate the greatest common factor of v and 14. 14 Let i(z) = -z**2 + 8*z - 4. Let f be i(6). Let o = 10 + -10. Suppose o = 3*t - 32 - 40. What is the highest common divisor of t and f? 8 Suppose 5*i + 3*t = -3 - 9, 4*t = 4*i - 16. Suppose 5*a + 2*n - 60 = i, -2*a + 0*a + 53 = -5*n. What is the highest common factor of 2 and a? 2 Suppo
{ "pile_set_name": "DM Mathematics" }
is divided by 30. 25 Let x = 65 - 12. Suppose -151 = -12*g + x. Calculate the remainder when 49 is divided by g. 15 Suppose 5*b + 21 - 51 = 0, 3*c + b = 27765. What is the remainder when c is divided by 14? 13 Let g(s) = -s**3 - 13*s**2 - 16*s - 34. Let h be g(-12). Let y(w) = w**2 + 3*w - 4. What is the remainder when (7 - 5)*-2 + h is divided by y(-5)? 4 Suppose 57 = 4*k + x, 667 = -2*k + 4*x + 745. Let c = 11 - -50. What is the remainder when c is divided by k? 10 Suppose -5*w - 16 = -4*f, 5*w - 2 = -5*f + 18. Suppose -43 = f*c - 139. Suppose 0 = -c*x + 27*x - 9. What is the remainder when 3 is divided by x? 0 Let y be (48/20)/(-2)*(-20)/3. Let o(t) = 6*t**2 - 41*t - 7. Calculate the remainder when o(y) is divided by 18. 13 Let l = -112 - -112. Suppose 11*v - 3*v - 176 = l. What is the remainder when 80 is divided by v? 14 Suppose -22 = g - 25. Suppose -4*l - 3*c + 19 = -2, -l = -g*c - 24. What is the remainder when (2*(-57)/l)/(3/(-9)) is divided by 20? 18 Suppose 5*f = -p - 4*p + 190, -2*p = -2*f - 56. Suppose 8*i + p - 137 = 0. What is the remainder when 24 is divided by i? 11 Suppose -5340 = 19*m - 233*m + 36*m. Calculate the remainder when 443 is divided by m. 23 Let b(r) = -r**3 + 19*r**2 + 21*r + 16. Suppose 0 = -7*v - 9 + 149. Calculate the remainder when 143 is divided by b(v). 35 What is the remainder when (-108148)/(-190)*10/2 is divided by 39? 38 What is the remainder when -8*4/48*(-4 - 1871) is divided by 299? 54 Let t be (-2)/(2283/381 + -6). Let h = t - 77. What is the remainder when h is divided by 12? 9 Let u be (-436)/(-22) + 12/66. Suppose -4*g + 347 = 5*x - 398, -4*g = u. What is the remainder when x is divided by 2/(-8)*(12/6)/(3/(-186))? 29 Suppose 4*c - 31 = -255. Let l = c - -58. Suppose -l*h - 3*p = -h - 65, 4*h - 312 = p. What is the remainder when h is divided by 28? 21 Let b = -2586 - -2615. What is the remainder when 273 is divided by b? 12 Let j be (-78 - 2)*92/(-10). Suppose 11*x - j = -21*x. Suppose -2*y = -10, 5*y = -d - d + 39. What is the remainder when x is divided by d? 2 Let f(s) = -18*s**2 + 224*s - 28. Calculate the remainder when f(12) is divided by 12. 8 Suppose 22*o - 88 = o + 290. What is the remainder when 585 is divided by o? 9 Let x(p) = -277*p**3 + 2*p**2 + 2*p - 3. Let r be x(1). What is the remainder when 50 is divided by r/(-16) + ((-5)/(-4))/(-5)? 16 Suppose -g = -5*g + 5*m + 10, 0 = g - m - 2. Suppose -4*t + 35 + 9 = g. What is the remainder when 37 is divided by t? 4 Let o(s) = 7*s**2 - 10*s. Let w(z) = -z**3 + 4*z**2 + 5*z + 4. Let x be w(5). Let r be o(x). Let a = 77 - r. What is the remainder when 18 is divided by a? 3 Let u(x) = -2*x**3 + 12*x**2 + 25*x - 84. What is the remainder when 4955 is divided by u(4)? 75 Let p(h) = -h**3 + 9*h**2 - 6*h - 4. Let g be p(8). Let c = -44 - -52. Suppose 548 = -c*s + g*s. Calculate the remainder when s is divided by 35. 32 Let g(p) = -5*p. Let t(b) = -b**2 + 93*b + 1267. Calculate the remainder when t(103) is divided by g(-3). 12 Suppose 0 = m - 16 + 11. Suppose -52 = -m*q + 93. Suppose 2*f + q = -3*y + 6*y, -3*y = -3*f - 33. What is the remainder when 10 is divided by y? 3 Let n = 1041 - 924. Let b(p) = 28*p - 322. What is the remainder when b(16) is divided by n? 9 Suppose -108 = 28*h - 31*h. Suppose -2*y + 8*y - h = 0. Suppose 5*w + 55 - 239 = 3*q, 3*q = y. What is the remainder when w is divided by 14? 10 Let w(g) = -29*g**3 + g**2 - 3*g + 1. Let j be w(1). Let d = j + 18. Let b = d + 55. Calculate the remainder when 171 is divided by b. 42 Let r(u) = 1394*u - 2393. Calculate the remainder when 1594 is divided by r(2). 14 Suppose -3*u + r - 48 = -2*r, -2*u - 44 = 4*r. What is the remainder when 19 is divided by (-1)/((-6)/(-4) - (-33)/u)? 1 Let m be 6 + -6 - (-6 - -26). Let u(s) = -s**3 - 22*s**2 - 38*s + 64. Let x = 42 - -23. Calculate the remainder when x is divided by u(m). 17 Let c(y) = 2*y - 3. Let n be c(4). Let h(f) = f**2 + f - 7. Suppose -3*l + 3 = 3*t, 3*t - 11 = 5*l + 32. What is the remainder when h(n) is divided by t? 5 Let n be 4/2 - (-88 - -1). Suppose 5*a + n - 14 = 0. Let m = 36 + a. What is the remainder when 59 is divided by m? 17 Let f(o) = -o**3 + 7*o**2 + 3*o + 5. Let y(h) = 15*h**2 - 2*h + 17. Let q be y(4). Let l = 350 - q. What is the remainder when l is divided by f(7)? 23 Suppose 4 = 2*m - 4*w, 2*w = 3*m - 2*w - 6. Suppose 50 = 2*s - m*r, -2*r + 77 - 7 = 4*s. What is the remainder when (-54)/144 + 1107/8 is divided by s? 18 Suppose 0 = 2*k - 34 - 2. Let c = 85 - 26. What is the remainder when c is divided by k? 5 Suppose -145*g + 140*g + 1105 = 0. What is the remainder when g is divided by 75? 71 Let b be 40/12 + 14/21. Suppose 4*o - 53 = -d - 13, -5*d - 64 = -b*o. What is the remainder when 52 is divided by o? 8 Let v(u) = -u**3 + 114*u**2 - 435*u - 6. Let h be v(4). Let r(a) = -17*a. Let d be r(-3). Let q = d - h. What is the remainder when q is divided by 19? 18 Let f = 8 - -320. Suppose -2*n + f - 68 = 0. Suppose -4*t + 26 = y - t, -5*y + n = -3*t. What is the remainder when y is divided by 8? 2 Suppose 4*m = -5*k + 4528, m + 23*k - 1117 = 18*k. What is the remainder when m is divided by 44? 37 Suppose -25*b + 26*b - 25 = 0. Let f = b + -15. Calculate the remainder when f is divided by 10. 0 Suppose -8936 + 42802 = 391*g - 542. Calculate the remainder when g is divided by 1/(-2) + (-117)/(-6). 12 Suppose -202*x + 233*x - 9611 = -435. Calculate the remainder when x is divided by 37. 0 Let p(v) = v**3 - 12*v**2 + 9*v + 7. Let z be p(11). What is the remainder when 1 + (-3)/(-2)*(-520)/z is divided by 27? 26 Let n(p) = 27*p + 22. Let t be n(3). Let u = t + -86. What is the remainder when 48 is divided by u? 14 Let q(y) = 3*y**2 - 10*y + 5. What is the remainder when q(4) is divided by ((-76)/(-16) + -1)/(6/16)? 3 Let b(r) = -r**2 + 47*r + 35. Calculate the remainder when b(5) is divided by 7. 0 Let w(j) = -j**3 - 12*j**2 - 13*j - 12. Suppose 38 + 9 = -5*m - 2*q, 3*m = 3*q - 45. Let x = 61 + -34. Calculate the remainder when x is divided by w(m). 7 Suppose -11*s + 90 = -s. Let y = 5 - 27. Calculate the remainder when (0 - y)/(2/3) is divided by s. 6 Suppose -5*j - 65 = -6*j + l, 3*l + 59 = j. Calculate the remainder when 345 is divided by j. 5 Let z(y) = -y**3 - 51*y**2 + 50*y - 78. Calculate the remainder when 1792 is divided by z(-52). 24 Let f = -148 - -154. Suppose f = -2*b, -k = -3*b - b - 74. What is the remainder when k is divided by 36? 26 Suppose 0 = 5*t - 347 - 508. Calculate the remainder when t is divided by 46. 33 Let g = -38 - -43. Let r(z) = -19*z**2 + 14*z - g*z + 21*z**2. Calculate the remainder when 7 is divided by r(-5). 2 Suppose 4*u - z + 0*z = 3645, -u = 4*z - 907. Suppose -u = -20*x + 5029. Calculate the remainder when x is divided by 100. 97 Let p = -68957 + 68980. Let f(g) = -3*g - 3. Let q be f(-2). Suppose -2*u = -h - 21, 0 = q*h - 9. Calculate the remainder when p is divided by u. 11 Let b be 18*(-4 - 3)*1/(-2). What is the remainder when b/3*(-8)/(-6) is divided by 6? 4 Let i(a) = -3*a**3 + 61*a**2 - 168*a - 2. Calculate the remainder when i(11) is divided by 764. 10 Suppose 0 = 3*d + 9, -4*m = -3*d - 323 - 54. Let r = m - 83. What is the remainder when 76 is divided by r? 4 Let c(s) = 4*s**2 + 2*s - 2. Let h be c(1). Suppose -52 = m - 5*m. Suppose -h*q = -m - 55. Calculate the remainder when q is divided by 11. 6 Let p = 11621 + -11604. What is the remainder when 1787 is divided by p? 2 Let u = -715 - -944. What is the remainder when u is divided by 21? 19 Suppose 55*z - 120659 = -22*z. Calculate the remainder when z is divided by 157. 154 Let f = 3810 + -3594. What is the remainder when f is divided by 106? 4 Let m = -781 - -963. What is the remainder when m is divided by 57? 11 What is the remainder when 1348 is divided by ((-76)/(-7))/((-36)/84)*-6? 132 Let y = 340310 + -340297. Calculate the remainder when (2 - -71) + -1 + 2 is divided by y. 9 Let a be (-52)/(-44) + 4/(-22). Suppose -3*d = 2*k - 81, k - 2*d + 0*d - 37 = 0. What is the remainder when (a - -15)/(3/36) is divided by k? 36 Let c = 5190 - -924. Calculate the remainder when c is divided by 139. 137 Suppose 0 = -4*d + 19*d + 9*d - 20808. What is the remainder when d is divided by 286? 9 Suppose 4*b - 4*k + 2*k = 490, -
{ "pile_set_name": "DM Mathematics" }
+ (-20 - -38) + -5)? -13 Calculate -10 - (-18 + 80) - (8 + 8 + -26). -62 Evaluate 2 + (24 - 12) + -12 + -4. -2 Evaluate (42 - (35 + -26) - (8 - 0)) + -18. 7 What is the value of (34 - (-9 - -33)) + -32? -22 -2 - (40 - (-7 - (-8 + (-2 - -5) - 6))) -38 (30 - (23 + -42 + 160)) + 11 -100 What is the value of -1 + 17 - (-9 + -1 - (188 + -113 - 84))? 17 What is 20 + 27 + -7 + 17 + -9? 48 What is -7 - (-80 - -87 - (-4 - 2))? -20 Evaluate 60 - ((-29 - -80) + -53). 62 What is -48 - (9 - 2) - (-5 - -9 - 16)? -43 -3 + 13 + 3 + -171 + (3 - -13 - 4) -146 -3 - ((331 - 339) + 23 + 1 + 1) -20 What is -16 - (-2 - (-16 - -2) - (409 - 409))? -28 191 + -96 + (-60 - -10) 45 What is 157 + (-36 - 20) + -72? 29 (0 - 0) + 4 - (-54 - (-43 - (-35 - 34))) 84 What is 1 + (3 + (6 - 5 - 3) - 1) + 4? 5 What is the value of 22 - 0 - (-261 - -279) - (1 + -2 - -47)? -42 Evaluate -23 + -20 + 18 + 0 + (1 - -7). -17 What is -22 + (48 - (62 - 26))? -10 0 - -32 - -1 - (-576 - -287 - -278) 44 Evaluate 29 - ((36 - 49) + (0 - -27)) - 1. 14 Evaluate -19 + -13 + -2 + 21 + 13. 0 Calculate (-44 + 47 - 14 - (3 - 0)) + -28. -42 Calculate (-57 - -38) + (0 - -124) - 15. 90 20 + 9 + -6 + 0 - 30 - 12 -19 What is (19 - 0) + (-43 - -28 - -18)? 22 What is 37 - (-18 - 4 - -60)? -1 What is the value of -3 + -547 + 423 + 4 + -1? -124 Evaluate 5 + 23 - (51 + -41). 18 Calculate -12338 + 12363 + (28 - 0). 53 Calculate -15 - ((-11 - ((7 - 9) + 10)) + 14). -10 What is 17 - ((-16 - -8) + 44)? -19 Calculate -16 - (38 + -62 - -16). -8 Calculate 20 + -24 + -20 - -36 - (-1 - 4). 17 What is 12 - (-9 - 16 - (-8 + -11)) - -66? 84 68 - (69 + 0 + -49) 48 What is -88 + (-109 - -253 - 99)? -43 Evaluate 1 - (-21 + 3 + 0) - (11 - 8 - -7). 9 Evaluate (-78 - (33 + 27)) + 101. -37 5 + 4 + -10 + 1 + 6 + 4 + 35 45 Calculate (-58 - -27 - (19 - 41)) + -13 - 9. -31 Evaluate 5 + -5 + -1 + -15 + 6 + 29. 19 What is 255 + -127 - (91 - -18)? 19 Evaluate 26 + -116 - (1 + 5 + (1 - 0) - -1). -98 Calculate 1 + -25 - (5 - (-145 - -123)). -51 Evaluate 1 - -3 - (-10 + 54 + -2). -38 What is the value of -7 - (-19 - (39 - (35 - -69)))? -53 Evaluate -3032 + 3188 + (-54 - 3). 99 What is the value of 8 + (44 - 13) + (-28 - -20)? 31 -24 - (-30 - (15 + -113 + 31)) -61 What is 25274 - 25311 - (-1 + (0 - 11))? -25 What is the value of 0 + -53 + 12434 + -12283? 98 (-12 - 88) + (305 - 149) 56 Evaluate 22 + 23 + 62 + -17 + -4 + 15. 101 What is (121 + -167 + -91 - (-9 + -2)) + -10 + 1? -135 What is 33 + -47 + 0 + 14 + -1 + 43? 42 30 - (11 + (-9 - 1) + 9) 20 Calculate (0 + (-3 - -5) - -1) + (-10 - 38 - 53). -98 9 - 10 - -13 - (-4 + 8 + -8) 16 What is the value of 38 + (-64 - (14 - 41))? 1 What is 86 + 0 - (-2488 + 2550)? 24 What is 43 - (198 - 142) - -88? 75 Evaluate -13 + (17 - 6) + (20 - 1). 17 What is (-52 - (-8 + -8)) + 68 + 13? 45 -87 + -33 + 64 + -26 + 5 -77 What is the value of ((27 - 1) + -31 - (1 - 3)) + (0 - -1)? -2 Calculate (0 - 8) + 3 + 9 + -21 - (22 - 17). -22 Calculate (154 - 45) + (-4 - -10) - -7. 122 What is -28 + (-10 - ((7 - 0) + -5))? -40 7 - (-16 - (11 - (3 - (11 + -91)))) -49 -173 + (-135 - -330) - (117 + (-3 - -6)) -98 1795 - 1804 - (0 + (3 - (0 - -35)) + 0) 23 What is (-68 - -64) + (10 - (-67 - -11)) + (-2 - -2)? 62 (14 - (6 + -3)) + -15 + 15 + 8 + 44 63 What is 58 - 9 - 46 - (-6 - -86)? -77 Calculate 16 + 19 + 10 + -50 + -2. -7 What is 59 - (38 - 38 - -4) - (5 - -1 - 1)? 50 37 - (39 + -22) - 52 -32 (1 - (-1 + 28)) + (-98 + 211 - 113) -26 What is 2 + -62 - (168 - (-30 + 221))? -37 Calculate -49 + 109 - (9 - 0) - (-4 - -5 - 8). 58 What is the value of 25 + -6 + 63 + 0 + -6? 76 What is the value of -3 + 24 + -27 + 13 - -34? 41 Evaluate 3 - (-8 - (3 + -15) - -34). -35 What is the value of -2 + -33 + (8 - 8 - -21)? -14 What is -13 + -34 + -34 + 76? -5 (-51 - 2) + 5 + (-274 - -285) -37 Evaluate (5 - -19) + -51 + 47. 20 What is (50 - (-38 + 26 + (0 - -11))) + -4? 47 Evaluate -65 + -8 + -21 + 79. -15 -59 - (-179 - -40) - 62 18 -3 + (13 - 24) + 8 + 2 -4 What is -10 - ((5 - 5 - 15) + 13 + -7)? -1 What is the value of (-40 + 41 - ((-7 - -1) + -3)) + 41? 51 What is the value of 90 - (-9 - -52) - 46? 1 What is (-8 + 8 - 30) + 36? 6 -18 - ((-19 - 11) + 0 + 10) 2 Evaluate (-2 - (2 - 4)) + -8 + -6 + 16 + 0. 2 (6 - -12) + (7 - 10 - 6) - 0 9 Calculate -15 - (5 + (0 - 1) + (-928 - -922)). -13 Evaluate -21 + -1 + (611 - 611). -22 What is the value of -28 + (-14 - -107) + -54? 11 Evaluate 38 + -9 + -9 + 0 - 43. -23 816 + -798 + (23 - 0) - 100 -59 What is -73 + 33 + 40 - (6 + -51)? 45 What is 36 - 55 - (0 - -89)? -108 What is (-6480 - -6427) + 127 + -1? 73 What is the value of -115 + -58 + 174 - 65? -64 What is the value of 20 + (1 - 19) + 15 + -15 - 2? 0 What is 1 - -1 - (46 - ((4 - 4) + -11))? -55 Calculate -90 - (-38 + 160 + -116). -96 (-1 - (0 - -9)) + (33 - (12 + -20) - -7) 38 47 + -84 + -93 + 9 + 1 + (1 - -3) -116 What is the value of (-116 - -43) + (19 - (6 + (14 - 9 - 3)))? -62 What is the value of -121 + (8 - 11) - (-346 + 332)? -110 (29 - 19) + -19 + 17 + 4 12 Evaluate -8 + (-3 - 9) + (-213 - -201 - (-2 - 0)). -30 Evaluate (-61 - 9) + (14 - 15 - (3 + -3 - -2)). -73 What is the value of -10 - ((0 - 1 - 0) + 0) - (-273823 - -273852)? -38 What is the value of -1 - (-70 - (-51 + 26))? 44 What is the value of -92 + (92 - 5) + -56? -61 Evaluate -1 + 24 - ((-38 - 1) + 71). -9 -46 + 29 - (62 - (-18 - -22)) -75 Evaluate (-37 - (-26 + -12)) + 174 - 24. 151 What is the value of 17 + -96 - (-224 - -203)? -58 (-169 - -52) + 62 + -5 -60 Evaluate -3 - (8 - -3) - (-263 - -258). -9 What is -9 - (104 + (2 - (0 + -4 + 21)))? -98 What is -59 - (-49 - (-56 - -55))? -11 What is the value of (30 - 34) + (-31 - 1)? -36 Calculate -16 + 5 + -11 + -9 + 17 - (4 - 82). 64 What is 3 - (250 + -266 + -53 + -2)? 74 What is (-75 - (-6 + 3)) + ((-31 - -82) + -26 - 28)? -75 What is the value of 25 - (1 - 27 - (-52 - -19))? 18 What is (-40 - -32) + (-1 - -2) + 3 + -266 + 281? 11 Evaluate (-7 - (0 + -4)) + (23 - 12 - 6). 2 What is the value of -20 + (120 - -11) + 48 + -81? 78 Evaluate 17 + -225 + 77 + 81. -50 Calculate -2 + 11 - (-12 + (-20 - (-20 + 17))). 38 Calculate 23 - (16 + -1) - 100 - (3 - 2). -93 Evaluate 35 + -3 - (-5 - (23 + -3 - 23)). 34 Calculate -1 + 1 - (-43 + 6) - (-7128 + 7146). 19 (-88 + 203 - 122) + -98 -105 (3 - 2 - -25) + -1314 + 1281 -7 What is the value of -74 + 92 + -47 - (0 - -5 - 23)? -11 -7259 + 7307 - (2 + -28 + 1) 73 Calculate 8 + 6 + -6 + 9 + 1 + -9 + -59. -50 Calculate 3722 + -3741 - (-122 + -1). 104 Evaluate (30 - (-133 + 89)) + -53. 21 (11 - 0) + -4 - (0 + -11 + 9 + -6) 15 What is the value of (0 - (-12 + 1)) + (-4 - 1) - 4? 2 What is -80 - (-15 - (-6 + (15 - 46)))? -102 What is the value of 44 + -2 + -8 + (52 + -17 - 49)? 20 Evaluate -66 + (47 + -87 - -139). 33 What is -26 - (3 - 19) - (-5 - 21)? 16 (0 - -5) + 43 + 17 + (-86 - -49) 28 Calculate (-5 + 8 + -5 - -2) + -10 + 62 + -1. 51 -2 - (67 + (2 - (16 - (31 - 21)))) -65 7 - ((-24 - 56) + 49) 38 What is (-57 + 51 - (-2 + 2 - 0)) + 57? 51 What is the value of (7 - -2) + (16 + (21 - 52) - -41)? 35 What is the value of 2 + -1 + -11 - (-88 - (36 - (54 - 50)))? 110 Evaluate 9 + -4 + -6 + (5 - 1) - (526 + -536). 13 Calculate (42 - (-2 - 0)) + -4554 + 4558. 48 What is the value of (54 - -1) + (-220 - -186)? 21 Calculate 3 - (13 + 9) - ((-3 - -1) + 104 + -103). -18 What is -5 + 61 + (-28 - (-25 - 5))? 58 76 - (3 + 31) - 0 - -5 47 What is 308 + -126 - 244 - (-30 - 1)? -31 -6 + -29 - (0 + -17) - -19 - 96 -95 Evaluate -63 + (-24 - (10 + (8 - 18) - 19)). -68 What is (18 + (24 - 49) - -12) + -113 + -2 + -13? -123 What is the value of 53 - (-67 + (-63 - -132))? 51 2 - (6 + -8 - (-29 - 14)) -39 What is the value of 16 + 17 + -26 + -4 + -10 + (25 - 1)? 17 What is 19 + (11 - ((20 - 3) + -5))? 18 Evaluate -5 + 1 - ((2 - (-3 - 4)) + (153 - 178)). 12 What is the value of 49 - ((6 - 13) + -8 + 20 + (3 - 3))? 44 What is the value of 8 - (154 + -2 - (15 + (13 - 9) + -7))? -132 Calculate (0 - (-1 + 58)) + (20 - (37 - 1)) + 15. -58 Calculate 58 - (-44 + 24 + 1 + -4). 81 Calculate (-61 - 18) + -129 + 170. -38 -526 + 222 + 300 + (0 - 1 - -45) 40 -42 + 45 + -16 + -11 -24 -36 - (-40 - -25) - (63 + (12 - 0)) -96 What is the value of (-201 - (61 + -39)) + 85 + -1 + -7? -146 Calculate 7 + -2 + (13 - 36 - -46) + 12. 40 Ev
{ "pile_set_name": "DM Mathematics" }
ich is the smallest value? (a) -2 (b) 3 (c) u a Let s = 124.87 - 119.9. Let o = s - -0.03. What is the biggest value in o, 0, 1? o Let a = -13 + 7. Let x(d) = d**3 + 6*d**2 - d - 7. Let w be x(a). Let z be ((-81)/(-21))/w + 3. What is the third smallest value in 2/9, z, -5/2? 2/9 Let f = 0.038 + -0.038. What is the third biggest value in -1/60, 4, f? -1/60 Let z = 1.49 + -0.49. Let b(n) = n**2 + 4*n + 7. Let v be b(-3). What is the third biggest value in z, v, -5? -5 Let q = 16 + -21. Which is the second biggest value? (a) q (b) -2 (c) 1/9 b Let u(v) = v**3 - 3*v**2 - 3*v - 4. Suppose -x + 5*n = -7 + 28, 4*x + 4*n = 36. Let j be u(x). Which is the biggest value? (a) 2/11 (b) j (c) 2/5 c Let n(k) = k + 8. Let l be n(-8). Suppose 0 = -2*v - 4 - l. Let r be (2/11)/(v - 0). Which is the third biggest value? (a) -2/7 (b) 0.3 (c) r a Let r = 0.4 + 0.6. What is the third smallest value in -5, r, -2/9, -0.2? -0.2 Let l = -434/11 - -40. Let j be -1*2/4*1. What is the smallest value in -5, l, j? -5 Let d = 34 - 31. Let q be (2/(-15))/((-21)/(-15)). What is the third smallest value in q, d, -0.2? d Let m = -0.3 + 0.1. Let v = -30 - -121/4. What is the smallest value in m, v, 1? m Let y = 0.4 - -2.6. Which is the biggest value? (a) y (b) 4 (c) 5 c Let y be (-2)/(-12) + (-46)/(-12). Let p be ((-9)/2)/(3/y). Let x be (-2)/p - 28/30. Which is the third biggest value? (a) 0.1 (b) x (c) -0.2 b Suppose -s = -2*s - 244. Let v be 341/(-2)*120/(-84). Let u = v + s. What is the biggest value in u, -2/3, 2/5? 2/5 Let u = -0.4 + 0.1. Let t = -3 - -3. Let g = u + t. What is the third biggest value in -4, g, 4? -4 Let j = -472099/92919 + 62712871393/651362190. Let w = j + 5/4206. Let o = -9586/105 + w. Which is the second smallest value? (a) -2/7 (b) o (c) 0.2 b Let x = 9 + -8.99. Let w = -1.57 + 1.06. Let k = x + w. What is the third smallest value in -2/9, 5, k? 5 Let y = 1.4 + 0.6. Let a(i) = i**3 - 4*i**2 + 4*i - 4. Let g be a(3). What is the smallest value in -2, g, y? -2 Let k(z) = z - 4. Let l be k(5). Let y = 0.05 - -0.05. Let s = y - 5.1. What is the second biggest value in l, s, 2? l Suppose 6*v + 16 = -2. Let o be (-2)/(-1 - -3)*-1. Which is the smallest value? (a) 0.04 (b) v (c) o b Let u = -1.004 + 0.004. Let l be (27/(-6))/(2/(-4)). What is the smallest value in u, l, -4? -4 Suppose -2*z - 2 + 12 = 0. Suppose -4*s + 3*s = -1. Let o be (s/(-7))/(2/4). Which is the third smallest value? (a) o (b) -2 (c) z c Let n be 1/(-3)*1*-1. Let y be ((-3)/33)/(1*(-7)/14). Which is the second biggest value? (a) -0.2 (b) y (c) n b Let k = 0.012 + -0.112. What is the third smallest value in -1/5, 3, k, 0.2? 0.2 Let w = 9 + -8.91. Let p = w - 0.09. Which is the third smallest value? (a) 1/6 (b) p (c) -5 a Let r = -12.53 + 0.53. Which is the biggest value? (a) r (b) -4 (c) 2 c Let v = -1 + 2. Let j = 40/3 - 13. Which is the second smallest value? (a) -2 (b) v (c) j c Let m be (-3)/(-6) + 47/(-2). Let k be 10/25 + m/20. What is the third smallest value in k, -1, 0.4? 0.4 Let k be ((-3)/3 - 2)*1/(-9). What is the third biggest value in 0.1, k, 6, -5? 0.1 Let q = 1380 + -1389.07. Let n = q + 9. Let z = -3.93 + n. What is the smallest value in 4, 3/4, z? z Let m = -10.5 - -10.37. What is the third biggest value in 2, -2, m? -2 Let z be (100/(-45) - -2) + (-124)/90. What is the biggest value in z, -1/2, 1/3, -3? 1/3 Let k = -0.08 + 0.38. Which is the smallest value? (a) -0.3 (b) k (c) 4 a Let q = -34 - -33.8. What is the biggest value in -1/9, -5, q? -1/9 Let w(m) = m**3 + m**2 - m + 1. Let v be w(-2). Let n = v - -17. Let t be (-12)/n*2/3. What is the third smallest value in t, -1, 0? 0 Let f = 4.3 - 4.1. Which is the third biggest value? (a) f (b) 0.3 (c) 10/3 a Let k be ((-224)/21 - -9) + (-57)/(-27). Let g = 4 - 1. What is the biggest value in 6, k, g? 6 Suppose -3*f + 8 = -2*w, -5*f + 17*w - 12*w + 20 = 0. Let d = -1 - 3. Let u = 1/246 - 499/1722. What is the biggest value in f, u, d? f Let o = -935/3 - -311. Let q = 0.1 - 0.3. What is the third smallest value in o, -2, q? q Suppose 3*r - q = -0*q + 4, 2*r - 3*q + 9 = 0. What is the biggest value in 2, r, -3/8? r Let j be 11/((-231)/90) - (-6)/21. Which is the third smallest value? (a) 5 (b) j (c) 5/3 a Let b = 10.1 + -10. What is the biggest value in b, 2/5, -4? 2/5 Let q = 29 - 28.8. Which is the second biggest value? (a) -0.2 (b) 3 (c) q c Let x = -153 + 1073/7. Let z = 32 + -19. Let h = -8 + z. Which is the third biggest value? (a) h (b) -1 (c) x b Let i be (-1)/(-2) - ((-27)/6 - -3). Which is the biggest value? (a) 0 (b) 3/5 (c) 5 (d) i c Let a be (-12)/(-8) - (-54)/(-4). Let k be (-28)/(-18) + a/54. Suppose 0 = -2*b - 2*b + 20. What is the third biggest value in k, 0.1, b? 0.1 Let h = -12.3 + 10. Let d = -1.3 - h. What is the biggest value in 3, d, 5? 5 Let q be (-1)/(-4) + 161/(-441). Let u = q - 3/28. What is the biggest value in 1/10, u, -1/4? 1/10 Let k be 10*(-10 + 9)/(-4 + -1). What is the third smallest value in 7, k, 2/3? 7 Let q be 153/252 - 6/8. Let v be (0 - -1) + 20/(-16). What is the second smallest value in q, v, 0.4? q Let p = -0.86 + 0.06. Let j = 1.1 + p. Let k = -37/2 - -19. Which is the third biggest value? (a) k (b) j (c) -0.3 c Let u = 1.7 - 5.2. Let z = 0 - -3. Let l = u + z. What is the second smallest value in -0.1, 0.4, l? -0.1 Let a = 4.023 + -0.023. Let y = 0 + -0.2. Let r = y + 1.2. What is the biggest value in a, -4, r? a Suppose -118 = -4*k + 6*g - g, -2*g + 100 = 3*k. Which is the smallest value? (a) -0.2 (b) -1/3 (c) k b Let v = 0.08 + 2.92. Let l = -15 + 7. Let u be (-18)/(-8) - (-2)/l. What is the third smallest value in u, v, 0? v Let w = 6.1 + -6. Let q = w - -3.9. Suppose 0 = -3*o + 2*t - 19, 0 = 4*o + o + 4*t - 5. What is the third smallest value in 2, q, o? q Let q = 5 - 3. Let a = q + -2.4. Let b = 192 + -2110/11. What is the third biggest value in b, -1, a? -1 Suppose -4*g = -7*g. Let p = -1 + 0. Let b = 1.3 + p. What is the biggest value in g, b, 0.5? 0.5 Suppose a + 0 - 3 = 0. Let r be (-78)/(-63) - 2/a. What is the second biggest value in 0.4, 5, r? r Let d = -24/35 - -2/7. Let k be (-6)/(-4) + (-3)/(-3). Let h = 17/6 - k. What is the second biggest value in d, h, -1/2? d Let a be 3*1 + 12/(-12). Let p be 2/(-36)*4/(-1). What is the third biggest value in -2, p, a? -2 Suppose -3*d - 9 = -2*d. Let j be ((-17)/d - 2)*1. What is the second biggest value in j, -2/9, -5? -2/9 Let h = 0.04 + -2.04. Let z = 157/4 - 39. What is the smallest value in z, 1, h? h Let l = -1909 + 7587/4. Let r = 12 + l. Which is the third smallest value? (a) r (b) -3 (c) 5 c Let p = 0.8 + -1.1. Let o = -0.1 + p. Suppose 5*i - n = -25, i - 6*i - 2*n - 10 = 0. Which is the second smallest value? (a) i (b) 0.3 (c) o c Suppose -5*j - 15 - 65 = 0. Let r be 66/j + (1 - -3). Which is the biggest value? (a) r (b) 0.3 (c) 4 c Let z = -18 - -19. Which is the second smallest value? (a) -1/3 (b) z (c) -5 a Let z = 1 + 0. Let c = -32 - -32.13. Let o = c - 4.13. What is the smallest value in z, o, 3? o Let g = -22 - -20. What is the second biggest value in 3, g, 4? 3 Let i = -3 - -3.3. Which is the third smallest value? (a) i (b) 1 (c) -1/5 (d) -2/9 a Let s = 5 - 8. Let j = 5 + s. What is the smallest value in j, 4, -4? -4 Let t = -0.22 - -1.22. Which is the fourth smallest value? (a) -0.2 (b) 2 (c) -4 (d) t b Let d = -6 + 4. Let h = -68.5 - -68. Which is the third smallest value? (a) 3 (b) d (c) h a Let g = 64/9 + -22/3. Let v = -11.4 + 11. Let z = -5 + 0. What is the third smallest value in z, v, g? g Let f be 8/2 + 0 + 0. Which is the third biggest value? (a) 1/5 (b) -5 (c) f b Let y = -0.5 + 0.9. Let n = 0.25 + 0.05. Which is the third smallest value? (a) n (b) y (c) 3 c Let u be (-12)/6*1403/14. Let f = u + 201. Which is the third smallest value? (a) -2/9 (b) f (c) -1/2 b Let j(p) = p**2 + 2*p - 6. Let o be j(5). Which is the second biggest value? (a) -2 (b) 4 (c) o b Let t = 2.5 + -2.6. What is the second biggest value in 1/4, -5, t? t Let t = -3 - -2.94. Let w = 0.56 + t. What is the third biggest value in w, -4, 5? -4 Let l = 1.96 - -0.04. Let c be 2 - (-7)/(21/(-6)). What is the third smallest value in l,
{ "pile_set_name": "DM Mathematics" }
y -53. 114 Divide 175 by -5. -35 Divide -37 by 8. -37/8 Calculate -2 divided by 14. -1/7 Calculate 56 divided by 14. 4 Divide 912 by -304. -3 Calculate -81 divided by -3. 27 -73 divided by -2 73/2 What is 216 divided by 27? 8 Calculate 111 divided by 1. 111 What is -33015 divided by 6603? -5 What is 4520 divided by 4? 1130 What is -2055 divided by 411? -5 What is 17 divided by 79? 17/79 Divide -250 by 2. -125 Divide -5 by -2. 5/2 Calculate 116 divided by 29. 4 Calculate 1 divided by -632. -1/632 Divide -18 by -10. 9/5 What is 392 divided by -98? -4 Divide 672 by 21. 32 Divide -24780 by -3. 8260 What is -5 divided by -4238? 5/4238 What is 4 divided by 4? 1 -510 divided by -102 5 Divide 5 by 3075. 1/615 What is -10 divided by -18? 5/9 What is 4 divided by 391? 4/391 What is 38920 divided by 5? 7784 736 divided by -3 -736/3 Divide 748 by 5. 748/5 Calculate 27 divided by -1. -27 Divide 1 by 436. 1/436 -132 divided by 2 -66 -63980 divided by 1 -63980 -2 divided by 281 -2/281 6 divided by 23 6/23 -2048 divided by 6 -1024/3 What is 0 divided by -21? 0 What is -3 divided by -4594? 3/4594 Calculate 12264 divided by -6132. -2 Calculate 755 divided by -5. -151 -180 divided by -30 6 Calculate 458 divided by -3. -458/3 37 divided by -177 -37/177 Divide 158 by 158. 1 What is 660 divided by -11? -60 What is -314 divided by 314? -1 Divide 816 by -4. -204 What is 2 divided by 38? 1/19 Divide -13 by 369. -13/369 Divide 176 by 4. 44 Divide -4590 by 6. -765 Divide -8316 by -99. 84 Divide -2350 by -5. 470 -7629 divided by -2543 3 What is -11 divided by -28? 11/28 3928 divided by 1 3928 Divide -22 by -19. 22/19 What is -269 divided by 6? -269/6 8330 divided by 5 1666 Divide -1482 by -741. 2 Divide -2 by -36. 1/18 108 divided by -12 -9 2184 divided by -78 -28 Calculate -2 divided by -150. 1/75 Divide 10584 by 63. 168 -536 divided by 2 -268 Divide 30 by 15. 2 -5220 divided by 3 -1740 -8022 divided by -42 191 Divide -1284 by 6. -214 Divide -3576 by -894. 4 -115 divided by -5 23 Divide 589 by 589. 1 3740 divided by 4 935 What is -280 divided by -40? 7 Calculate -15 divided by -3. 5 Divide -2772 by 693. -4 Divide 950 by -5. -190 Divide -4 by -390. 2/195 Calculate -66 divided by 33. -2 What is 7 divided by 1? 7 Divide 4 by -21. -4/21 Calculate 558 divided by -186. -3 -3245 divided by -1 3245 -1 divided by -1885 1/1885 -5 divided by -1187 5/1187 Calculate -16 divided by 7. -16/7 7483 divided by -7 -1069 Calculate -8 divided by -17. 8/17 Calculate -7360 divided by 320. -23 Calculate -124 divided by 4. -31 -15 divided by -5 3 Calculate 4384 divided by 16. 274 -8140 divided by -37 220 Calculate 10866 divided by -6. -1811 What is -76 divided by -19? 4 Divide -4148 by -3. 4148/3 What is 1170 divided by 5? 234 Divide 716 by 179. 4 -4 divided by -19 4/19 Divide -300 by 75. -4 Calculate -15892 divided by 7946. -2 -395 divided by -4 395/4 What is -16555 divided by 3311? -5 Divide -72 by 9. -8 What is -3 divided by -1203? 1/401 -1484 divided by 1 -1484 Divide 35 by -11. -35/11 What is -36754 divided by -34? 1081 Divide 2 by -207. -2/207 Divide 13828 by 4. 3457 Divide -12148 by -4. 3037 Divide 246 by 6. 41 Divide 432 by -36. -12 Divide -781 by -47. 781/47 Calculate 0 divided by -237. 0 -10234 divided by -5117 2 What is -90 divided by -3? 30 What is 80 divided by -119? -80/119 -396 divided by 99 -4 -41 divided by -6 41/6 What is -1200 divided by 240? -5 -971 divided by -4 971/4 Calculate 1 divided by 55. 1/55 Calculate 2 divided by -16. -1/8 170 divided by -5 -34 Divide 242 by -2. -121 Divide 3868 by 4. 967 Calculate 66 divided by 22. 3 7735 divided by 221 35 Divide 414 by -414. -1 Divide 2159 by 3. 2159/3 -5670 divided by 105 -54 Divide 8250 by 5. 1650 What is 3 divided by 60? 1/20 1 divided by 1480 1/1480 3220 divided by -70 -46 Calculate -1488 divided by -496. 3 Divide -10452 by -3. 3484 What is 9698 divided by -373? -26 Calculate 490 divided by -245. -2 Divide 3000 by 1500. 2 Divide -246 by -123. 2 Divide 1 by -8. -1/8 Divide -20076 by 6. -3346 What is 700 divided by 7? 100 -5 divided by 581 -5/581 -6586 divided by -178 37 Divide 22627 by 2057. 11 Divide 0 by -4649. 0 What is 29115 divided by 5? 5823 -68 divided by -6 34/3 -1419 divided by -33 43 Divide -1015 by -5. 203 What is 0 divided by -56? 0 What is 278 divided by -139? -2 What is -1829 divided by -1? 1829 -2673 divided by 6 -891/2 8767 divided by -11 -797 What is 0 divided by 24? 0 Calculate -579 divided by -3. 193 40 divided by 20 2 What is -2 divided by -620? 1/310 -1233 divided by 3 -411 Divide 4 by 1955. 4/1955 -66078 divided by -6 11013 18364 divided by 6 9182/3 Calculate -68 divided by -18. 34/9 What is -6253 divided by 2? -6253/2 Calculate -15312 divided by 264. -58 What is 138 divided by -69? -2 -28 divided by -4 7 -3 divided by 81 -1/27 Divide 6 by 21. 2/7 Calculate 14 divided by 601. 14/601 Divide -24 by -8. 3 What is 100 divided by -25? -4 Divide -11020 by -5. 2204 What is -213 divided by 1? -213 Divide -10 by -102. 5/51 Calculate -575 divided by 5. -115 Calculate 17 divided by -77. -17/77 108 divided by -3 -36 -4378 divided by -11 398 What is -2 divided by 36? -1/18 What is 265 divided by -53? -5 -3237 divided by 3 -1079 What is -11 divided by -20? 11/20 Divide 1104 by 368. 3 Calculate -16512 divided by -4. 4128 134 divided by -67 -2 What is 18492 divided by 69? 268 Calculate -40 divided by 10. -4 Calculate -1 divided by 373. -1/373 Calculate -6970 divided by 5. -1394 Calculate 1585 divided by -5. -317 -1979 divided by 4 -1979/4 What is 410 divided by -2? -205 What is -10 divided by 482? -5/241 Divide 153 by -1. -153 -42 divided by -6 7 What is 0 divided by -34? 0 What is 5 divided by -159? -5/159 Divide 3516 by -3. -1172 What is 1927 divided by -3? -1927/3 1704 divided by 6 284 5736 divided by 6 956 Calculate 32 divided by 21. 32/21 Calculate 37 divided by 3. 37/3 Divide 0 by 28. 0 Calculate -24 divided by -54. 4/9 What is 7677 divided by 2559? 3 Divide -173 by 4. -173/4 Calculate 183 divided by -2. -183/2 Divide -270 by 18. -15 -2300 divided by -50 46 744 divided by -4 -186 What is -416 divided by -104? 4 Calculate 6 divided by -600. -1/100 Calculate 1284 divided by 2. 642 Divide -154 by 1. -154 Divide 2478 by 1239. 2 -2 divided by 1047 -2/1047 -3 divided by 888 -1/296 Calculate 4 divided by -24. -1/6 What is 27840 divided by 9280? 3 204 divided by -12 -17 Divide 8720 by 218. 40 1462 divided by -86 -17 Calculate -24339 divided by -3. 8113 -784 divided by -4 196 1 divided by 33 1/33 What is -87 divided by -5? 87/5 -1 divided by 66 -1/66 What is -2 divided by -13? 2/13 Calculate 4298 divided by -7. -614 6 divided by -3256 -3/1628 What is 189 divided by -3? -63 Divide 4440 by 5. 888 6293 divided by 203 31 Divide 39 by 3. 13 What is 3180 divided by 20? 159 What is -16 divided by -15? 16/15 Calculate -26 divided by 2. -13 What is -408 divided by 24? -17 What is -386 divided by -8? 193/4 Calculate 0 divided by -8. 0 Calculate -22 divided by -22. 1 Calculate 40 divided by -40. -1 1003 divided by 34 59/2 What is 1174 divided by 6? 587/3 Divide 825 by 5. 165 Calculate 21 divided by 21. 1 Calculate -14 divided by -14. 1 Calculate -13 divided by 72. -13/72 What is 0 divided by 91? 0 Divide 3 by 49. 3/49 What is 49 divided by 7? 7 Divide 325 by 12. 325/12 Calculate -651 divided by -4. 651/4 What is 8910 divided by 2? 4455 What is -1060 divided by 2? -530 -11425 divided by -2285 5 What is -1400 divided by 350? -4 Calculate -6606 divided by 3. -2202 -174 divided by -5 174/5 Divide 990 by 198. 5 -3 divided by 232 -3/232 Divide -2 by 49. -2/49 -2 divided by 37 -2/37 Calculate 90 divided by -18. -5 Calculate -1522 divided by 2. -761 Divide -504 by 126. -4 What is 13 divided by -33? -13/33 328 divided by -6 -164/3 Calculate -32 divided by -84. 8/21 Calculate 32 divided by -35. -32/35 What is 28918 divided by -1? -28918 0 divided by 6 0 -13 divided by -7 13/7 What is -3 divided by -679? 3/679 Divide 8065 by -5. -1613 Calculate 10701 divided by -41. -261 Calculate 570 divided by 30. 19 Calculate 616 divided by -1. -616 1940 divided by -2 -970 Divide 0 by -311. 0 Calculate 24480 divided by -34. -720 Divide -1552 by -4. 388 Calculate 149 divided by 6. 149/6 -8357 divided by -137 61 What is 1743 divided by 581? 3 1749 divided
{ "pile_set_name": "DM Mathematics" }
e -553*f + 1430 = -608*f for f. -26 Solve 1101 = -x + 27*x + 555 for x. 21 Solve -62*n = 715 - 95 for n. -10 Solve -66*d - 1259 = -71 for d. -18 Solve 5*p = 218*p - 48 - 591 for p. 3 Solve -16*f = 22*f - 570 for f. 15 Solve -254*l - 377*l - 13240 = 31*l for l. -20 Solve -100*k + 4980 = 232*k for k. 15 Solve 10252*b - 10264*b - 192 + 48 = 0 for b. -12 Solve 946*j - 2419 = 443*j + 3617 for j. 12 Solve -175 = 116*r + 228 + 409 for r. -7 Solve 35*o + 0 = 32*o + 69 for o. 23 Solve -84 + 97 = -18*c - 149 for c. -9 Solve 23*l = 7*l - 7*l - 55*l for l. 0 Solve 3*l - 14259 = -14208 for l. 17 Solve -47*a = -11349 + 10080 for a. 27 Solve 3*o + 21 = -30 - 3 for o. -18 Solve 28381 + 28409 = 1893*m for m. 30 Solve -27*o + 44 = 71 for o. -1 Solve 40*v = 46*v - 34*v for v. 0 Solve -104*x + 738 = 3234 for x. -24 Solve 27 = -19*w + 2*w - 160 for w. -11 Solve 418 = 27*g - 40 - 109 for g. 21 Solve -56*r - 139 + 64 = 149 for r. -4 Solve -101*z + 77*z - 185 = 79 for z. -11 Solve 4*z + 655 - 623 = 0 for z. -8 Solve 6*j + 4*j + 34 - 144 = 0 for j. 11 Solve 194*q = -33*q + 33*q + 582 for q. 3 Solve -751 = -52*s - 21*s + 271 for s. 14 Solve 117 - 885 = -76*k - 20*k for k. 8 Solve -303*x + 263*x + 600 = 0 for x. 15 Solve -17*l + 24*l + 31 = -186 for l. -31 Solve 97 = 35*t + 6 - 224 for t. 9 Solve 103*v - 7645 = -5791 for v. 18 Solve 48*j = 9*j + 156 for j. 4 Solve 2214 = -242*g - 106*g - 21*g for g. -6 Solve 0 = -52*g - 14*g + 767 + 289 for g. 16 Solve 0 = 20*b + 122 + 98 for b. -11 Solve 2407 = 562*z + 8027 for z. -10 Solve 6540 + 3414 = 1073*f + 586*f for f. 6 Solve 2*n - 88*n = -86 for n. 1 Solve -21079 + 20557 = 29*b for b. -18 Solve 262*c = 485*c - 467*c - 976 for c. -4 Solve -73*c - 1760 = -233*c for c. 11 Solve -162*d - 3196 = 121*d - 95*d for d. -17 Solve -54 = 407*v - 398*v for v. -6 Solve 17103*q = 17133*q - 840 for q. 28 Solve -k + 3590 - 3710 = 14*k for k. -8 Solve 7*t + 311 + 113 = -99*t for t. -4 Solve 54*q + 2477 - 3449 = 0 for q. 18 Solve -295*w + 729*w = 368*w - 1848 for w. -28 Solve -89*c - 61*c + 17*c = -133 for c. 1 Solve 55*n - 5880 = -533*n for n. 10 Solve 19*y + 13*y + 960 - 288 = 0 for y. -21 Solve 386*u - 584*u + 2970 = 0 for u. 15 Solve -61*g - 415 - 622 = 0 for g. -17 Solve -273 + 2193 = 128*t for t. 15 Solve -55*j - 644 = -1339 - 185 for j. 16 Solve 0 = -9*z - 4 - 17 + 48 for z. 3 Solve -26*v - 113*v + 973 = 0 for v. 7 Solve -16 + 81 = 65*z for z. 1 Solve 10*i - 426 = -27*i - 34*i for i. 6 Solve -25*d - 195 = -9*d + 23*d for d. -5 Solve 18*x + 536 = 950 for x. 23 Solve 139*q = 109*q + 480 for q. 16 Solve -251*w + 680 = -1328 for w. 8 Solve -3985*j + 3992*j = -112 for j. -16 Solve 449*z = -147 - 2098 for z. -5 Solve -108*k = -95*k + 65 for k. -5 Solve 19 + 3 = 22*h - 44 for h. 3 Solve -3098 = -391*k + 3038 + 7158 for k. 34 Solve 270 - 41 = -17*y + 8 for y. -13 Solve -187*l - 326 + 1635 = 0 for l. 7 Solve 0 = 27*q + 79 + 21 + 8 for q. -4 Solve 0 = -98*t + 116*t + 144 for t. -8 Solve 13149*g - 13077*g - 2232 = 0 for g. 31 Solve -129*c + 354 + 49 + 113 = 0 for c. 4 Solve -22*r = -86*r - 42*r - 530 for r. -5 Solve -544 = -1567*h + 1535*h for h. 17 Solve 135*h = -343*h + 122*h - 5696 for h. -16 Solve -7*t - 151*t = 316 for t. -2 Solve -136 = -37*n + 2*n + 4 for n. 4 Solve 3004*k + 8 = 3000*k for k. -2 Solve -152*j = 22 - 1818 - 636 for j. 16 Solve 1691*f - 1681*f - 150 = 0 for f. 15 Solve 143*f - 118 = 67*f + 1022 for f. 15 Solve 3795 = -28*x - 137*x for x. -23 Solve 306*w = 302*w - 109 + 45 for w. -16 Solve 219*u - 223*u + 36 = 0 for u. 9 Solve 0 = -2*z - 39*z - 29*z - 770 for z. -11 Solve 8301*c - 294 = 8280*c for c. 14 Solve -145*g = -197*g + 104 for g. 2 Solve -35*a - 33*a = -89*a + 315 for a. 15 Solve -10*z - 708 = 108*z for z. -6 Solve -25*t + 15*t - 108 = -22*t for t. 9 Solve 10530*d - 10894*d = 3276 for d. -9 Solve -282*m + 108 = -531*m + 276*m for m. 4 Solve 11325 = 85*z + 225*z + 445*z for z. 15 Solve 252*z - 302 + 421 = -1393 for z. -6 Solve 949 = -770*j + 843*j for j. 13 Solve 0 = -27*i + 14*i - 50*i + 441 for i. 7 Solve 210*g + 475 - 170 = -325 for g. -3 Solve 6*x = 5*x + 13*x + 6*x for x. 0 Solve -1000*o + 2107 = -2929 + 1036 for o. 4 Solve 750*y = 10925 + 2931 + 1144 for y. 20 Solve 60*u = -243 + 37 - 274 for u. -8 Solve 518*q - 1525 = 457*q for q. 25 Solve -157 = 231*f + 2846 for f. -13 Solve -1849311*m + 1849332*m - 378 = 0 for m. 18 Solve -33*x - 1560 = -12*x + 44*x for x. -24 Solve -44 = o - 10*o + 172 for o. 24 Solve 0 = 46*r + 749*r + 1590 for r. -2 Solve 70*i - 320 = 310 for i. 9 Solve -70*j = -33*j + 210*j - 741 for j. 3 Solve -1267*n + 617*n = -603*n - 752 for n. 16 Solve 323 + 152 = 28*g - 225 for g. 25 Solve 36*l + 23*l = 4*l + 1265 for l. 23 Solve -4480 - 1149 = 433*t for t. -13 Solve 0 = -193*f + 529 - 2459 for f. -10 Solve 0 = -149*i + 2759 - 3355 for i. -4 Solve 39*x + 94*x + 1553 - 90 = 0 for x. -11 Solve -64*s - 802 + 212 = -5*s for s. -10 Solve -18*k = 173*k + 553 + 784 for k. -7 Solve -44*d - 103*d - 1029 = 0 for d. -7 Solve 1681*a - 1704*a = 414 for a. -18 Solve 94*f = -126*f + 55*f - 330 for f. -2 Solve 1867 = -23*p + 2028 for p. 7 Solve 64*u = 41*u + 58*u + 35 for u. -1 Solve 45*u = -57133 + 58843 for u. 38 Solve -30*q + 22*q = 23*q + 775 for q. -25 Solve 24*k + 8*k + 196 = 644 for k. 14 Solve -12*z - 3*z = 6*z - 21 for z. 1 Solve -226*m + 119*m - 108 = -113*m for m. 18 Solve -225*h = 285*h - 178*h - 5976 for h. 18 Solve 725 = -1754*u + 1911*u - 688 for u. 9 Solve -1819*a + 993*a = 11564 for a. -14 Solve -273*m - 1020 = -222*m for m. -20 Solve 1636 = -151*j - 141*j - 116 for j. -6 Solve -223*o = -168*o + 377*o + 7776 for o. -18 Solve 116*g - 369 = 6*g - 1029 for g. -6 Solve 1256 + 4333 = 243*i for i. 23 Solve 10504*d - 10507*d = 21 for d. -7 Solve 302*r - 3783 = -12239 for r. -28 Solve -245 = 40*j + 124 - 129 for j. -6 Solve 0 = 244*t + 101*t + 7935 for t. -23 Solve -18*t - 125*t = 67*t - 630 for t. 3 Solve 592 + 24 = -44*g for g. -14 Solve -1373 = 106*o + 1807 for o. -30 Solve -158 = 40*l + 229 + 13 for l. -10 Solve 0 = -25*f + 435 - 335 for f. 4 Solve 0 = -63*u + 8*u - 1155 for u. -21 Solve 192 = -75*d + 59*d for d. -12 Solve 154 = 94*u + 1094 for u. -10 Solve -259*s - 41905 = 967*s - 1447 for s. -33 Solve 17*l + 9 = 74 + 173 for l. 14 Solve -13*u - 17 + 73 = 30 for u. 2 Solve -18*r - 294 = 39*r - 36*r for r. -14 Solve 165 - 318 = -434*h + 1149 for h. 3 Solve 4156*f = 4145*f + 341 for f. 31 Solve -59*s + 156 = -46*s for s. 12 Solve -295*p = -309*p - 40 + 166 for p. 9 Solve -162*g = -2727 + 1593 for g. 7 Solve -14*v = -1045 + 1157 for v. -8 Solve 283*q + 199 = -1036 - 180 for q. -5 Solve 0 = y - 6*y + 156*y for y. 0 Solve 624*n - 7507 + 1515 = 9608 for n. 25 Solve -2225 = -238*m - 7937 for m. -24 Solve 12*z = 13*z - 142*z + 705 for z. 5 Solve -103*i = 792 + 341 for i. -11 Solve 299*i - 196 = -325*i - 820 for i. -1 Solve 3131 + 725 = -964*h for h. -4 Solve 0 = -174*y + 954 + 1656 for y. 15 Solve -38*n - 104 - 40 - 122 = 0 for n. -7 Solve -8*k + 3177 - 1813 = -52*k for k. -31 Solve -9 = -44*f + 35*f for f. 1 Solve 0 = 202*j - 1034 - 1188 for j. 11 Solve 166*t + 98 = 98 for t. 0 Solve 151*j + 418 = 3287 for j. 19 Solve -88*f + 355 = 56*f + 3667 for f. -23 Solve -222*p + 9*p - 1278 = 0 for p. -6 Solve 5049*y = 5047*y - 18 for y. -9 Solve -131 = 13*j - 27 for j. -8 Solve 25*g - 582 = -25*g - 47*g for g. 6 Solve 0 = 1458*m - 35 + 11870 - 1629 for m. -7 Solve -81*c + 66 = -78*c for c. 22 Solve 0 = 23*g - 914 - 906 + 1245 for g. 25 Solve -112*d = 216 - 1314 - 1030 for d. 19 Solve -21*w - 252 + 483 = 0 for w. 11 Solve -342 + 110 = -36*u - 520 for u. -8 Solve -23*j = -10*j + 3*j - 112 for j. 7 Solve 3*k - 25*k = 16*k + 304 for k. -8 Solve -392*z - 1340 - 2188 = 0 for z. -9 Solve 0 = -12*l + 136 - 42 + 50 for l. 12 Solve -46*d - 147*d = -9 + 9 for d. 0 Solve 1009*r = 1126*r - 1755 for r. 15 Solve -13*n - 3243 = -23*n - 131*n for n. 23 Solve 145*s - 201*s + 215 = -233 for s. 8 Solve 0 = -23*r - 28645 + 28944 for r. 13 Solve 33 + 27 = 30*z - 0 for z. 2 Solve 18*f + 12*f = 26*f - 60 for f. -15 Solve -163*j - 1032 = 1830 + 1213 for j. -25 Solve -16889*m - 1536 = -16841*m for m. -32 Solve 1738 = 95*l + 978 for l. 8 Solve 0 = 143*s - 160 + 875 for s. -5 Solve 359*l + 1761 - 4633 = 0 for l. 8 Solve 34*k - 624 = -2*k - 12*k
{ "pile_set_name": "DM Mathematics" }
66, -63746, -124410, -214934, -341294? -509466 What comes next: 4466716, 4466707, 4466696, 4466683? 4466668 What comes next: 108478, 216901, 325246, 433507, 541678, 649753? 757726 What is next in -1004, -2502, -4000, -5498? -6996 What is the next term in 22018, 22400, 22782, 23164? 23546 What is the next term in 4455, 4475, 4529, 4635, 4811, 5075, 5445? 5939 What is the next term in 5814, 7002, 8170, 9306, 10398, 11434, 12402? 13290 What comes next: -7344269, -7344281, -7344317, -7344389, -7344509, -7344689, -7344941? -7345277 What comes next: -727, -828, -1169, -1870, -3051, -4832, -7333? -10674 What comes next: 4092102, 8184202, 12276302, 16368402, 20460502, 24552602? 28644702 What is next in -18531, -74396, -167481, -297780, -465287, -669996, -911901, -1190996? -1507275 What is next in -1590198, -1590986, -1591774, -1592562? -1593350 What is next in 67538, 67550, 67562, 67574? 67586 What comes next: -296373584, -592747172, -889120760, -1185494348? -1481867936 What is next in -11943, -23910, -35867, -47814, -59751? -71678 What comes next: -2668, -10756, -24248, -43144, -67444? -97148 What is the next term in 62343325, 124686649, 187029973, 249373297? 311716621 What is next in 16005, 32002, 47993, 63978, 79957, 95930, 111897? 127858 What comes next: 584, 2490, 5682, 10160? 15924 What is next in 208797, 417613, 626425, 835233, 1044037, 1252837? 1461633 What is the next term in 10419, 62008, 202023, 474672, 924163? 1594704 What comes next: -5436274, -5436278, -5436282, -5436286, -5436290, -5436294? -5436298 What is the next term in -318947416, -318947417, -318947418? -318947419 What comes next: -422, -2312, -5462, -9872, -15542? -22472 What is next in -493325, -493348, -493389, -493448, -493525, -493620, -493733? -493864 What is the next term in 630201, 630139, 630077, 630015? 629953 What is the next term in 86848, 86862, 86886, 86920, 86964, 87018? 87082 What is next in 21315, 42711, 64217, 85887, 107775, 129935, 152421, 175287? 198587 What is next in -3018402, -24147201, -81496790, -193177563, -377299914? -651974237 What is next in -13398116, -26796221, -40194326, -53592431, -66990536? -80388641 What is the next term in -4094, -16418, -36956, -65708, -102674, -147854, -201248? -262856 What is the next term in -5977960, -5977959, -5977956, -5977951, -5977944, -5977935? -5977924 What comes next: -42987, -43419, -43851, -44283, -44715, -45147? -45579 What comes next: 8983, 18001, 27057, 36151, 45283, 54453, 63661? 72907 What is the next term in -37936, -39907, -41878, -43849, -45820? -47791 What is the next term in 1019519, 1019504, 1019489? 1019474 What is next in -137746, -137561, -137376, -137191, -137006? -136821 What is the next term in -936, -3721, -8268, -14577, -22648? -32481 What comes next: 13771643, 13771638, 13771633? 13771628 What is the next term in 1389296, 2778595, 4167896, 5557199, 6946504, 8335811? 9725120 What is the next term in -996563, -1993178, -2989843, -3986558, -4983323, -5980138? -6977003 What is the next term in -96, -145, -80, 177, 704, 1579? 2880 What comes next: -1522, -1497, -1458, -1405, -1338? -1257 What is next in 851, 1594, 2375, 3194? 4051 What is the next term in -2987, -12372, -28149, -50318, -78879? -113832 What is next in 372, 341, 22, -585, -1480, -2663, -4134? -5893 What is next in 113687, 113059, 112013, 110549, 108667, 106367? 103649 What is the next term in -14655, -58362, -131125, -232950, -363843, -523810, -712857, -930990? -1178215 What is the next term in -469, -5907, -20647, -49339, -96633, -167179, -265627, -396627? -564829 What is the next term in -8493, -12638, -19509, -29076, -41309, -56178, -73653, -93704? -116301 What comes next: 11856, 23748, 35648, 47556, 59472, 71396, 83328? 95268 What is the next term in -3094420, -3094413, -3094406? -3094399 What is next in 55150, 55137, 55090, 55003, 54870? 54685 What is the next term in 1178, 5212, 12096, 21830, 34414? 49848 What is next in -17158, -17176, -17194, -17212? -17230 What is the next term in -5174, -20705, -46578, -82799, -129374, -186309, -253610? -331283 What is the next term in -809883, -1619238, -2428593, -3237948, -4047303? -4856658 What is next in -31395, -42410, -53427, -64446, -75467, -86490? -97515 What is the next term in 10338, 10108, 9734, 9144, 8266? 7028 What is next in 3461, 26775, 89793, 212369, 414357, 715611, 1135985? 1695333 What is the next term in 341052, 679948, 1018844, 1357740, 1696636, 2035532? 2374428 What comes next: 3042202, 6084398, 9126594, 12168790? 15210986 What comes next: -139741, -139736, -139729, -139720, -139709, -139696, -139681? -139664 What is the next term in 2440, 10291, 31598, 73087, 141484? 243515 What is next in 632, 399, 132, -169, -504, -873, -1276? -1713 What is next in 8628, 11458, 14288, 17118, 19948, 22778? 25608 What comes next: 22, -119, -630, -1709, -3554, -6363? -10334 What is next in -14681652, -29363292, -44044932, -58726572, -73408212? -88089852 What is the next term in 21488, 86186, 194444, 346610, 543032? 784058 What is next in 61941, 62545, 63557, 64983, 66829, 69101, 71805? 74947 What is the next term in 35563, 36974, 38385? 39796 What is the next term in 1481, 2486, 3491? 4496 What comes next: 478403, 478427, 478451? 478475 What comes next: 1162, 2553, 4878, 8137, 12330, 17457? 23518 What comes next: -482, -730, -760, -464, 266, 1538, 3460? 6140 What is next in -86442, -345833, -778172, -1383459? -2161694 What is next in 6902, 7118, 7730, 8936, 10934, 13922, 18098? 23660 What is the next term in -10580, -10565, -10588, -10667, -10820, -11065, -11420, -11903? -12532 What comes next: 52371, 52365, 52371, 52401, 52467, 52581, 52755? 53001 What is the next term in 1040911, 2081805, 3122701, 4163599, 5204499, 6245401? 7286305 What is the next term in 7196, 15162, 23128, 31094, 39060? 47026 What comes next: 22740545, 45481085, 68221625? 90962165 What comes next: 7295, 6328, 4717, 2462, -437? -3980 What comes next: 52789, 52850, 52911? 52972 What is the next term in -3584629, -3584589, -3584549, -3584509, -3584469? -3584429 What comes next: -2006079, -2005820, -2005393, -2004804, -2004059? -2003164 What is the next term in -5394, -10727, -16062, -21399, -26738, -32079, -37422? -42767 What comes next: 560, 2439, 5608, 10067, 15816? 22855 What is next in 254372, 508828, 763284, 1017740? 1272196 What is next in 880436, 880417, 880386, 880343, 880288, 880221, 880142? 880051 What is the next term in -1342759, -1342753, -1342747? -1342741 What comes next: 1162, 1577, 2224, 3103, 4214, 5557, 7132? 8939 What is next in -3258, -2581, -766, 2757, 8558? 17207 What is next in 1684, 3304, 4852, 6316, 7684, 8944, 10084? 11092 What is next in 382497, 382490, 382479, 382464? 382445 What is next in 1757, 1771, 1783, 1793, 1801, 1807? 1811 What comes next: -2457, -9019, -19963, -35295, -55021, -79147, -107679? -140623 What is the next term in 21195, 42345, 63495, 84645? 105795 What is the next term in -511819, -511592, -511367, -511144, -510923, -510704, -510487? -510272 What is the next term in 30360705, 60721423, 91082141, 121442859, 151803577, 182164295? 212525013 What comes next: 38583, 39050, 39821, 40896, 42275, 43958? 45945 What is next in -122755, -126471, -132663, -141331, -152475? -166095 What is next in -80103, -80290, -80477, -80664? -80851 What is the next term in -5939, -45130, -151507, -358664, -700195? -1209694 What comes next: -298479, -1193963, -2686451, -4775943, -7462439? -10745939 What is next in 1314, 1420, 1582, 1782, 2002, 2224? 2430 What is next in -5595, -5960, -6535, -7320? -8315 What is next in 34248, 68617, 103106, 137715, 172444, 207293? 242262 What comes next: 1136045, 2272066, 3408089, 4544114, 5680141, 6816170? 7952201 What is the next term in 39019407, 156077631, 351174671, 624310527, 975485199? 1404698687 What is next in 17746118, 35492226, 53238334? 70984442 What is next in -20212, -40437, -60692, -80995, -101364, -121817, -142372? -163047 What is next in -390955, -781778, -1172601? -1563424 What is next in 1691, 575, -709, -2167, -3805, -5629, -7645? -9859 What is the next term in -2985077, -11940231, -26865487, -47760845? -74626305 What is the next term in 470, 1405, 2882, 4895, 7438? 10505 What is next in 30401, 27031, 21413, 13547, 3433, -8929, -23539? -40
{ "pile_set_name": "DM Mathematics" }
et m be l(7). Suppose -6*i - 57 - m = 0. Let z(j) = j**3 - 3*j**2 - 4*j + 1. Let u be z(3). Which is greater: u or i? i Suppose -m = -1 + 11. Let b be ((-52)/m)/(3/15). Suppose -g + 8 = -2*s, -4*s = -6*s + 16. Which is smaller: b or g? g Let b = -194333936/297 - -654322. Let y = -12/11 - b. Let c = y + 13/54. Is c at least as big as -1? True Suppose 34*p = 40*p - 24. Suppose p*c + 195 = -5*i, 8*c + 255 = 3*c - 4*i. Which is smaller: c or -3? c Suppose -w - w + 3*c = 2, -3*w + 2*c = 8. Let t be 2*w*(-6)/(-72). Is t > 115? False Let j be ((-5)/(-15))/((-3983)/(-6)). Let p = -645236/19915 - j. Is -31 <= p? False Let n = 0.49 - -1.61. Let u = 1.1 - n. Let f = -40 - -40.14. Which is greater: f or u? f Let n = 43.5877 + 0.4123. Which is bigger: 0.1 or n? n Let b = -489 + 985. Suppose -d + b = 3*n, 4*n = -n + 2*d + 812. Suppose 0 = -5*t + n - 9. Is 32 <= t? False Suppose 4*z = 21*z + 187. Let d be (-6594)/33 - 2*(-1)/z. Is -202 <= d? True Let x(n) = n**2 + 12*n - 178. Let w be x(0). Which is smaller: w or -181? -181 Let f = -2709 - -2679. Which is smaller: f or -374/13? f Let g = -1704 + 591289/347. Suppose n - 5*m = 223 - 254, -26 = 2*n - 4*m. Which is smaller: n or g? n Suppose -9*y + 10*y - 5*b = 54, -4 = b. Suppose -26*n = -y*n + 1040. Are 386/3 and n unequal? True Let o(r) = -r**3 - r**2 + 2*r. Let u be o(-2). Suppose u = 3*x - w - 3*w - 50, 62 = 4*x - 3*w. Let h be x/77 - (-1502)/88. Do h and 17 have the same value? False Suppose -35*a = -30*a - 690. Suppose 72 = 6*m + a. Which is bigger: -0.02 or m? -0.02 Let v(t) = -8*t + 5. Let u be v(5). Let i = u - -46. Let b = -26 + 38. Is i equal to b? False Suppose h = -5*i + 23, 3*i - 15 = -h - 0*i. Suppose 0 = -5*f + 2*r + 113, 5*r - 2*r + 75 = h*f. Let q = 16 - -6. Which is smaller: f or q? f Let a(j) = -4*j + j**3 - 1212 + 2*j**2 + 1218 - j**2 + 2*j**2. Let i be a(-4). Suppose 0 = -3*f - 3*g + i, 5*f + 0*f - 1 = -2*g. Are f and -1/24 equal? False Suppose 0 = 2*h + 2*k, k + 2 + 6 = -5*h. Let t be (-8)/24 - h/(-3). Is 11 smaller than t? False Let j be (-34)/(-357) + 1618/14. Is 0.2 less than j? True Let w(l) = l**3 + 4*l**2 + 5*l + 21. Let t be w(-4). Suppose -5*i + 16 = -i. Let y be t/(i - (-372)/(-92)). Which is bigger: -24 or y? y Let a(l) = 12*l**3 - 410*l**2 + 68*l - 19. Let y be a(34). Is y != -94/5? True Let o = -5034 - -5034.022. Which is smaller: -0.08 or o? -0.08 Let b(o) = 86*o + 688. Let i be b(-8). Is i != 4/187? True Suppose -7*f = -2*f + 4*p - 32, 3*f = -3*p + 21. Suppose -f*q = 3*q - 3*q. Is q at least 37/4? False Suppose -29*x - 964 = 3*j - 24*x, 2*j + x = -631. Which is greater: -314 or j? j Let m = 1450 + -1667. Is -218 equal to m? False Let f be (-2)/4 + -2*3544807/42420. Let k = f + 2518/15. Is k < -1? False Let s = 1.9 - 1.64. Let n = s - 0.22. Let b = 1 - 0.8. Which is smaller: b or n? n Let c = -1160 - -800. Which is smaller: c or -4? c Suppose -5*n - 2*i = -14694, 0 = 21*n - 13*n + 5*i - 23514. Which is greater: n or 2939? 2939 Suppose 3*c = 54 - 48. Suppose 2*u - 22 = -4*f + 32, -6 = -c*u. Let t(v) = v**2 - 10*v + 2. Let j be t(11). Are j and f non-equal? True Let u be ((-144)/(-20) - 6)*85/2. Let g = -50 + u. Which is bigger: g or -3/25? g Let o be ((-12)/78 - 30/(-26)) + 25 + -52. Which is smaller: 22 or o? o Suppose -71*r + 87*r - 64 = 0. Is r equal to 0.369? False Let n(t) = 55*t + 750. Let r be n(-13). Is 279/8 greater than or equal to r? False Let a = 197 + -195.77. Let m = a - 1.43. Is -45 > m? False Let o(a) be the second derivative of a**5/20 - a**4/2 - 4*a**3/3 + 21*a**2/2 + a - 9. Let i be o(2). Which is smaller: -32/3 or i? i Let c = -19 + 12. Let m be 10134/(-126) + -1*(-4)/c. Let h = 83 + m. Which is smaller: 24/11 or h? h Let f = 21 - 65. Let x = -985 + 483. Let y = 502.1 + x. Which is bigger: f or y? y Suppose 4*o + 8 = -4*z, -5*z + o - 10 = 3*o. Let h be 1*3*((-426)/54 + 7). Which is smaller: h or z? h Let k be 5/(390/18)*2/(-6). Let r = 46.94 - 2.04. Let n = 45 - r. Which is smaller: k or n? k Let c = -5491 + 5491. Which is bigger: c or -1/30175? c Suppose 12 - 7 = -5*o + 3*q, 4*o - 4*q = -12. Suppose 0 = -g - 0*g + 4, o*g + 47 = -f. Which is smaller: f or -1? f Let p(h) = 59*h + 34. Let u be p(-1). Is -239/10 greater than or equal to u? True Let n(j) = -j**2 + 7*j - 10. Let x = -27 - -32. Let g be n(x). Which is bigger: -1/197 or g? g Suppose 0 = -4*q - 3*d - 4303, 0 = 5*q + 4*d - 6*d + 5350. Is q >= -1070? False Let y = -1637/3 + 545. Which is bigger: y or -47/13? y Let i = -61.94 - -20.06. Let d = 38.946 - -3.054. Let b = d + i. Is -3 <= b? True Let z = 139 + -211. Let i be z/88 - -1 - 261/44. Is i greater than or equal to -6? True Suppose 0 = 3*t - 4*s - 46, 2*t + 2*s - 32 = 4*s. Suppose 17 = 9*o - 19. Suppose -4*i - 5*c + 79 + 13 = 0, 0 = i + o*c - 34. Are i and t nonequal? False Suppose -5*m - 4 = -g, 2*m - 7*m - g = 6. Let k = -469040/89 + 5270. Which is greater: k or m? k Suppose -t + 4 = 0, -4*c - 3*t = 45 + 47. Let x = -22 - c. Let k = -2 + x. Which is smaller: k or 6? k Suppose 8 = 20*q - 21*q. Let i be ((-122)/q)/(1/4*1). Which is bigger: 63 or i? 63 Suppose 2011 + 3848 = 222*d + 1863. Which is greater: 31 or d? 31 Let m be 14 - 9 - 7 - (-17053)/(-49). Let w = -350 - m. Which is smaller: 0 or w? 0 Let s = -2998 - -2999. Let h be (-3 - (-36)/10) + (-306)/460. Which is bigger: s or h? s Let w be (-15 + 21)*10/6 - 14674. Which is smaller: -14665 or w? -14665 Suppose -18*c = -36*c - 4032. Let b = c - -208. Is b smaller than -11? True Let t(m) = -3*m**3 - 9*m**2 - 8*m + 22. Let f be t(-5). Let l = f + -212. Let g(v) = 53*v**2 - v. Let x be g(-1). Is l greater than or equal to x? False Let g(a) = 2*a**3 - 23*a**2 - 10*a - 20. Suppose 5*n + 4*q - 48 = -0, 5*q = 5*n - 75. Let h be g(n). Is -5 at least h? False Let h be 3/303*(86 + -89). Are 0 and h unequal? True Let k = 15407/15 - 3062/3. Let z = -29/5 + k. Let i = 29672 - 148361/5. Is i equal to z? False Let h = 110 + -35. Let i = h - 75. Which is bigger: i or -42? i Let v = -77 + 119. Let x be (-4)/14 - (-684)/v. Let a be 18/x*(-4)/21. Which is smaller: a or -2? -2 Let s = -3031/2 + 1493. Which is bigger: s or 0.044? 0.044 Let u(q) = -q**3 + 18*q**2 - 84*q + 31. Let o be u(8). Is o != 2/107? True Suppose -13*c + c + 108 = 0. Let m(z) = z**3 - 8*z**2 - 7*z - 16. Let v be m(c). Suppose -v*u = -u + 1. Is 1 less than or equal to u? False Let u = 303 + -300. Let t be (6 - 17/u)*3. Is t at most as big as 1/804? False Let z be 614/6 + 7/(-1)*40/(-70). Is z at most 107? True Suppose 3*s + 77*i - 1 = 78*i, i = -s + 3. Let d be 364/(-186) + 4 + -2. Which is bigger: s or d? s Suppose -6*i - 3 - 9 = 0. Let g be (-3791)/(-714) + i/12. Let q be (1 - 7/5)/((-1)/10). Which is smaller: g or q? q Let h be 579*(13 + (-152)/12). Which is smaller: 184 or h? 184 Let r = 4847/2 - 2493. Let z = r + 7365/106. Let v = 5 + -5.1. Which is smaller: v or z? v Let g = -3333 + 16979/5. Are g and 63 non-equal? True Let k = 48 - 36. Suppose k*i - 1122 = -90. Is i <= 87? True Let n = -3.2 + 4.81. Let f = n + 7.39. Is f bigger than -1/3? True Suppose 5*q + 67010 = 5*v, 14*q = -4*v + 16*q + 53594. Are 13395 and v equal? True Let p be -43 + (-58)/((-1160)/540). Suppose -4*w - z = -w + 34, 3*w - 3*z = -42. Is p greater than w? False Let m be -9 - -16 - -6 - 13. Is m less than or equal to 15/592? True Let l be 2/15 + (-706342)/390. Let c = l + 139444/77. Are c and 0.1 nonequal? True Let q be ((-184)/460)/((-4)/(-110)). Is q less than -414? False Let q be (-8)/(-16) + (-54)/(-12) - 33/(-2). Let v be (0 - 46)/(-2*1). Is v greater than or equal to q? True Let p = -114 + 120. Let z be 20/((24/20)/p). Let a = 91 - z. Which is smaller: -11 or a? -11 Let k be (0 - (4 + 15)) + -4. Let u = 27 - k. Let q be 8/((-64)/(-376)) - -2. Is q bigger than u? False Let m = -137 - -167. Let o be (-17 - (-504)/m)/((-1)/(-414)). Is o bigger than -84? True Let j = -25 - 0. Suppose -625 = 130*i - 36*i + 2007. Which is bigger: j or i? j Suppose -p = 94 + 111. Let g = p - -209. Are g and 46/9 unequal? True Let n(w) = -w**3 - 108*w**2 - 100*w + 1021. Let c be n(-107). Let p be -2 + 2 - (0 + -181). Let s = p - c. Is -91 > s? False Let z = 10 - -23. Let v = 2.811 + -2.811. Which is smaller: v or z? v Let t(p) = -36*p + 828. Let f be t(23). Suppose 6*b - 2*b = 76. Is
{ "pile_set_name": "DM Mathematics" }
x + -51. What is the units digit of m? 2 Suppose -5*o - 3 = -6*o. Suppose 2*q + 311 = -2*t + 1201, -q = -o*t - 465. Suppose 0*m = -5*m + q. What is the units digit of m? 0 Let i be (-4 - 2149/(-7)) + 2*1. Let w = i - 538. Let f = -150 - w. What is the tens digit of f? 8 Suppose -s + 16435 = d, 2*d = -3011*s + 3016*s - 82126. What is the ten thousands digit of s? 1 What is the units digit of (-492)/41 - (-31671 - -1) - 2? 6 Let d be 1/(-5) - (-16)/80. Suppose -9*y + 7*y + 358 = d. What is the hundreds digit of y? 1 Let x = -53 + 56. Suppose -x*z + 803 + 28 = 3*r, 1103 = 4*z + 3*r. What is the hundreds digit of z? 2 Let l(h) = 205*h - 2 - 206*h - 2 - 3. Let o = -107 + 98. What is the units digit of l(o)? 2 What is the ten thousands digit of 75/(-75)*-7723*(2 + 4)? 4 Suppose 3*z - 754*n = -756*n + 52650, 35107 = 2*z - n. What is the thousands digit of z? 7 Let v(g) = 13*g**2 + 71*g + 71. What is the hundreds digit of v(-15)? 9 Suppose 0 = -5*h - 63 + 68. Let b(w) = 2*w**2 + 7*w. Let d be b(-3). What is the tens digit of 98 - 3 - d*h - 3? 9 Let o be ((-1)/2*-2357)/((-7)/(-14)). Let h = 3476 - o. What is the thousands digit of h? 1 Let m = 16834 - 7448. What is the thousands digit of m? 9 What is the hundreds digit of (-4 - (-26)/3)*13320/42? 4 Let a(s) = -s**3 - 5*s**2 + 4*s + 59666. What is the ten thousands digit of a(0)? 5 Let b(j) = -2*j**2 - 11*j - 20. Suppose 4*c - 16 = -y, -2*y + 6*c - 23 = 3*c. Let v be b(y). What is the tens digit of 2 - -20 - (v/(-2) - 8)? 2 Let o(v) = -3*v**3 - 73 + 39 - 9*v**2 - 6*v + 48. What is the hundreds digit of o(-6)? 3 Suppose 17*h - 311 = 165. Let g = h + 732. What is the tens digit of g? 6 Let u(r) = -1408*r + 111. What is the units digit of u(-5)? 1 Let j(h) = 15*h. Let i be 2/6 - 268/12. Let m = -18 - i. What is the tens digit of j(m)? 6 Let m = 4211 - -3577. What is the hundreds digit of m? 7 Let q(h) = 263*h + 39. Let p be q(7). Suppose -4*d = 3*z - p, 0 = 6*d - 3*d + 5*z - 1399. What is the units digit of d? 3 Suppose -4464 = 3*j - 2*q, -7*j + 1488 = -8*j - 5*q. Let s = -934 - j. What is the tens digit of s? 5 What is the thousands digit of ((-182)/105 - 8/12)*-1310? 3 Suppose -4*x + 21*g - 24*g = -3282, 3*g = x - 828. Let t = -115 + x. What is the tens digit of t? 0 Let l(g) = 2*g**3 + 88*g**2 - g + 114. What is the tens digit of l(-43)? 5 Let h = 103 + -51. Suppose -6*q + h = 7*q. Suppose q*i - 2*f - f = 293, 2*f = 4*i - 298. What is the tens digit of i? 7 Let v be (22/5)/(40/100). Suppose 2*x - 27 + v = -4*z, 0 = -x. Suppose 0 = 5*k + h - 5*h - 23, -31 = -z*k - h. What is the units digit of k? 7 Let r be -1*(-1 + -4 + 5). Suppose -y + 91 - 1355 = r. What is the tens digit of 7/(245/(-10)) + y/(-14)? 9 Suppose 15*a = -20*a + 7*a + 1137192. What is the tens digit of a? 1 Let c(o) = -2*o**2 + 22*o - 25. Let g = -26 + 36. Let h be c(g). What is the tens digit of 95 - 20/h - 3? 9 Suppose -8*f + 4*f = 4*u - 163320, -81654 = -2*u - 3*f. What is the hundreds digit of u? 8 Let a be ((-3)/9)/(0 - 3/(-9)). Let i be (51/(-34))/(a/2). Suppose 2*f - 200 = -3*f + 5*x, -5*f + i*x + 202 = 0. What is the tens digit of f? 4 Let s(p) be the first derivative of 21*p - 3*p**2 + 0*p**2 - 17 - 4*p**2 + 3*p**2. What is the units digit of s(-8)? 5 Suppose -5*f - 2*j - j - 680 = 0, 0 = -2*f + 4*j - 298. Let t = f - -154. What is the units digit of t? 5 Suppose d + 4 = 0, -d + 3571 = 3*i - 2*d. Suppose i + 311 = 3*z. What is the units digit of z? 0 Suppose 0 = 10*s + 13*s - 147591. What is the tens digit of s? 1 Let r(w) = -5*w + 12. Let o be r(0). What is the units digit of (-162)/o*4*-3*1? 2 Suppose -5*z + 4*w + 132 = 554, -5*z + 3*w = 424. Let y = 95 + z. Suppose 395 = 4*f - j, 0 = -6*j + 3*j - y. What is the units digit of f? 8 Let n(v) = 3*v**3 - 147*v**2 - 66*v + 38. What is the tens digit of n(52)? 4 Let a be -89 - (1 + 1 - 0). Suppose -263 = 4*s + 89 - 12. Let n = s - a. What is the units digit of n? 6 Let x be (-6 - -17) + (21 - -82). Let v = -11 - 53. Let f = v + x. What is the units digit of f? 0 Suppose 3*n - 17*n = 6104. Let g = n - -909. What is the units digit of g? 3 Let c(n) = 2*n - 29. Let i be c(13). What is the tens digit of (-2)/(-4)*i*(-18036)/162? 6 Suppose 0 = -18*p + p + 2312. Let w = p + 904. What is the units digit of w? 0 Suppose 0 = -50*g + 70*g - 191680. What is the thousands digit of g? 9 Let w(k) = k**3 + 7*k**2 + 3*k + 3. Let o be w(-7). What is the tens digit of (-2 - 39/o) + (-2108)/(-24)? 8 Let w = -17656 + 34678. What is the units digit of w? 2 Let a be (1 - (-6 + 8)) + (7918 - -3). Suppose -a = -11*g - 5*g. What is the tens digit of g? 9 Suppose 3*k - 1203 = 3*w, -3*w = 2*k - 1163 + 371. Suppose -2*v - k = -3*v - c, 3*v - c = 1185. What is the hundreds digit of v? 3 Let c be (-40)/6*264/(-2). Suppose 0 = -15*w + 7*w - c. Let n = w + 283. What is the hundreds digit of n? 1 Suppose f - 11 = -15. Let b be 6/f*(-4)/(-3). What is the tens digit of ((-20)/15 + b/3)*-23? 4 Let s(v) = 10*v**3 - 170*v**2 + 1606*v - 27. What is the units digit of s(10)? 3 Suppose 10*n - 13*n - 264 = 0. Let h be (n/4 + 5)*-24. Let t = -278 + h. What is the tens digit of t? 3 Suppose 16*w + 516 = 20*w. Suppose 3*a + w = 765. What is the hundreds digit of a? 2 Let m(f) = f**3 - 15*f**2 + 17*f - 18. Let k be m(14). Suppose -28823 = -17*j - k*j. What is the units digit of j? 3 Let c(g) = g**3 + 4*g**2 - g + 1. Let r(x) = 145*x**3 - 6*x**2 - 5*x - 7. Let j(m) = -c(m) - r(m). What is the hundreds digit of j(-1)? 1 Let d = 38 + -34. Suppose d*g - g = 0. Suppose 4*s - 2*v - 84 = g, 3*v = -2*s - 2*v + 66. What is the tens digit of s? 2 Let y be (-15)/(-3) + -4 + 21 + 0. Let v = y + -18. What is the tens digit of 511/v - (-6)/24? 2 Let c be (((-8)/(-1))/1)/(-2 - -4). Suppose -10*r + 11*r - 986 = -y, 0 = c*r - 2*y - 3944. What is the tens digit of r? 8 Let p(j) be the second derivative of 7*j**3/3 - 77*j**2/2 + 13*j. What is the tens digit of p(7)? 2 Let s = 326 - 322. Suppose -s*q = -1566 - 654. What is the tens digit of q? 5 Suppose -4*c - 4*z = -0*z, 0 = z. Suppose c = 8*g - 1047 - 1241. Suppose -6*q + 1438 = g. What is the units digit of q? 2 Let d(p) = 8101*p**2 - 34*p - 6. What is the units digit of d(-1)? 9 Let n(b) = -b + 9. Let k be n(-4). Let r(u) = u - k + 30*u + 32 - 9*u. What is the hundreds digit of r(5)? 1 Let p be (-4)/(-8) - (-158)/4. Let f(m) = -41*m + 18 - p*m + 72*m. What is the units digit of f(-4)? 4 Suppose x = 3*g - 3476 - 1164, -3*g - 3*x = -4656. What is the hundreds digit of g? 5 What is the units digit of (-1300)/(-26) - (0 + -2)? 2 Let a = -1936 - -1184. What is the tens digit of (-7 + a/12)/((-1)/15)? 4 Let m be (-57)/3 + (-5)/(-4)*4. Let s(x) = x**2 + 6*x - 41. What is the units digit of s(m)? 1 Suppose -42 = 4*f - 3*x - 7, -2*f - 15 = -x. Let s be 16/(-40) + 58/f. Let a(y) = -18*y - 17. What is the tens digit of a(s)? 9 Let c(z) = -88 - 91 + 27*z + 231. What is the hundreds digit of c(10)? 3 Suppose 4278 = -5*s - 3*a, -s - a - 856 = -0*s. Let q = -547 - s. What is the hundreds digit of q? 3 Let z(q) = q**3 - 9*q**2 + 5*q + 19. Let t be z(8). Let x be (-26)/(-65) + (2784/t)/2. What is the units digit of (1/2 - 1)*x? 9 Suppose q - 5 - 22 = 0. Let p = -24 + q. Suppose -3*r = -3, -5*y + 113 + 65 = p*r. What is the units digit of y? 5 Let r be (474089/(-524))/(1/(-4)). Let q = -2306 + r. What is the tens digit of q? 1 Suppose 0 = -18*z + 12*z + 3462. Suppose t - z + 70 = 0. What is the tens digit of t? 0 Suppose 0 = -3*r + 2*m + 1396, -4*r - 4*m + 1243 = -605. What is the tens digit of (r/145)/((-1)/(-65))? 0 Let x(a) = -a**3 + a**2 + 2. Let f be x(-2). Let t(b) = -8*b**3 + 19*b**3 + 7*b + 5 + 3 - 12*b**3 + f*b**2. What is the units digit of t(14)? 6 Suppose 0 = -110*m + 121*m - 25696. What is the thousands digit of m? 2 Let c(y) be the first derivative of -y**2/2 - 4*y - 10. Let u be c(-8). Suppose -3*x = -3*h + 78, -h + 54 = h - u*x. What is the tens digit of h? 2 Let a be (-6)/4*(336 - -50). Let g = a - -2110. What is the thousands digit of g? 1 Suppose 3*c = 11*c - 96. Suppose 0 = -12*u + 12 + c. Suppose 0 = 4*r - u*s - 758, 0 = 2*r + s - 82 - 303. What is the tens digit of r? 9 Suppose -4*b + 7393 = d - 10044, -3*b = -d + 17430. What is the ten thousands digit of d? 1 Let o(m) = -5*m**3 + 2*m
{ "pile_set_name": "DM Mathematics" }
*h + 0*h = -u, h + m = 2*q. Solve -r + q*r = 12 for r. 4 Suppose -4*a + 2*a = 0. Suppose -3*m + 0*m + 18 = a. Solve -5*j + m*j = -2 for j. -2 Let n be 6/15 - (-13)/5. Let o = -5 + 9. Let w(q) = -q**3 + 2*q**2 - 2*q + 1. Let v be w(1). Solve -r + n*r - o = v for r. 2 Let w(l) = -7*l + 45. Let j be w(6). Solve a - j = -7 for a. -4 Suppose 9*j - 7*j - 6 = 0. Suppose -j*b = -0*b - 21. Let l be (-2)/(-2)*(-6)/(-3). Solve -b + l = i for i. -5 Suppose -3*c - 18 = 15. Let r(p) = p**2 + 11*p + 5. Let h be r(c). Solve -h - 3 = 4*n for n. -2 Let t = 5 + -5. Suppose -2*h + 3*h = t. Suppose h*o + 8 = 4*o. Solve z = -o*z - 9 for z. -3 Let m be (-616)/(-42) + (-8)/(-6). Solve -x = -5*x - m for x. -4 Let p be ((-3)/(-2))/((-12)/(-8)). Suppose 4*x - 14 = j + j, 0 = 5*j - x - 10. Solve v = -p - j for v. -4 Let t be (-1 - 0)*(-3 + 0). Suppose 8*o - t*o - 25 = 5*u, -5*u + 3*o = 19. Let k = -2 - u. Solve k*r = -r for r. 0 Suppose 4*q - 26 = -10. Suppose -4*a + 16 - q = 0. Solve -v + 4*v + a = 0 for v. -1 Suppose -27*x + 26*x = -3. Solve -x*h + 16 = h for h. 4 Suppose -5*q + 3*f = 4, 0 = -0*q + q - 4*f + 11. Solve -q = -0*z - z for z. 1 Suppose 16 = 8*o - 0*o. Solve o*s + 3 = 7 for s. 2 Let u = 77 - 72. Solve 5*i + 15 = u for i. -2 Let w = 57 - 29. Suppose 4*h - w + 4 = 0. Solve -h*r - 15 = -3*r for r. -5 Suppose 5*k - 20 = 0, -2*k + 0*k + 17 = 3*d. Suppose 0 = -d*y - 0*y. Solve y*q + 5 = q for q. 5 Let w be (9 - 3)/((-4)/(-2)). Solve w*i + 0*i + 9 = 0 for i. -3 Let x = 29 + -41. Let n be ((-10)/4)/(6/x). Suppose -3*l + 25 = -35. Solve s = n*s - l for s. 5 Let r(q) = 2*q**3 + 4*q**2 + 3*q + 2. Let k be r(-2). Let t = 7 - 0. Let d = k + t. Solve 0 = -4*a - 9 - d for a. -3 Let i(f) = -f**3 - 2*f**2 - f. Let c be i(0). Solve c = 2*a + 4 + 4 for a. -4 Suppose w + 18 = 5*t + 1, 5*t - 23 = 4*w. Suppose 3*n + t = 6. Suppose 0 = 2*q + q. Solve q = -o + n for o. 1 Let i be -2 + 2/(0 - 2). Let m(s) = s**2 - 4. Let y be m(i). Suppose -2*q + 60 = y*o + q, -61 = -4*o - 5*q. Solve -2*k = -o + 1 for k. 4 Suppose 0 = c - 3*a + 5, 2*a - 6*a - 20 = 4*c. Let z = c + 13. Let n = z + -8. Solve n = -u - u for u. 0 Suppose -2*l + 5*t - 9 = -3*l, l - 9 = 2*t. Let h(d) = l + 5 - d - 2. Let n be h(6). Solve -u - 5 = -n*u for u. 1 Let n(b) = 2*b**3 + b**2 - 2*b + 1. Let l be n(1). Let g = l - 0. Solve 0 = -g*r + 4 for r. 2 Let b = 27 + -15. Let k be (1 - (-2)/(-2)) + 2. Solve -x - b = k*x for x. -4 Suppose -q = -5*q + 48. Let v = q + -3. Solve v*l - 4*l - 10 = 0 for l. 2 Let a be 0/(((-4)/(-8))/((-2)/4)). Solve a = -0*o - o - 2 for o. -2 Let d = -5 + 25. Let p = d + -13. Let k(y) = -y**3 - 5*y**2 - 3*y + 3. Let m be k(-5). Solve -m - p = -5*a for a. 5 Let h be (5 + -5)/3 + 3. Solve 0 = 2*c + 1 + h for c. -2 Let d = 6 + -2. Suppose -4*f - 4 = 0, -7*g + 3*g = -3*f - 83. Solve -d*n - g = -8 for n. -3 Suppose -7*w - 105 = -12*w. Solve -k - 17 = -w for k. 4 Suppose 4*t = -r + 15, -t + 10 = -r - 0. Suppose t*s = 3*s. Suppose -h + 0 + 3 = s. Solve 0*m - h = 3*m for m. -1 Let g(w) be the first derivative of -1/3*w**3 + 4*w + 1 - 1/2*w**2. Let f be g(0). Solve 0 = 2*k - f*k + 8 for k. 4 Suppose 4*w + 40 = -4*r, 0*w - 20 = 2*r + 4*w. Let l be 2/(-4) - 5/r. Solve l = 4*m + m - 20 for m. 4 Let r(d) be the first derivative of -17*d**4/4 - d**3/3 + 4. Let o be r(-1). Solve -3*k = k + o for k. -4 Let d(c) = -c + 17. Let y be d(13). Suppose 0 = 5*t - 25, y*t + 0 = -2*w + 26. Solve -w*s = s for s. 0 Let m be 23/(-2 + (-6)/(-2)). Let o be m + -1 + (-1 - 2). Let f = -11 + o. Solve 0*b - f = -4*b for b. 2 Suppose 0 = -7*r + 17*r. Solve r = -c + 3*c for c. 0 Suppose 2*k + 2*k - 16 = 0. Suppose -u + 3 = 2*u. Suppose 2*s = -g + u, -k*s + 1 = -0*g + g. Solve 3*t = -2 - g for t. -1 Let q = -6 - -4. Let d be (-2 - q) + 3 - 3. Solve 0 = -3*b - d*b + 3 for b. 1 Suppose 4*i - 14 = -4*m + i, 0 = 4*m + 4*i - 16. Let j be 16/9 + (-4)/(-18). Let l be (-1 - 0)*1 + 17. Solve m*o + l = -j*o for o. -4 Suppose 5*b + 11 = -4*t, -2*b + 1 - 9 = -2*t. Let o be t - (-2 - (0 - 3)). Solve o = -w - 4 - 0 for w. -4 Let f(b) = b**2 - 6*b + 5. Let k be f(6). Let o = -9 - -9. Let l = o - -1. Solve -k = -d - l for d. 4 Let g be 84/10 - (-2)/(-5). Suppose g = k - 3*v, -3*k - 7*v = -4*v. Suppose -k*y = y + 5*m - 25, -y - m + 7 = 0. Solve 0 = -y*u + 35 - 10 for u. 5 Suppose 0*x = x. Let a be (10/(-8) + x)*-4. Let n = -3 + a. Solve -5*m = -n*m - 15 for m. 5 Suppose v - 4*v = -6. Let a be 2/3 - (-14)/(-21). Solve a = v*w + 2 + 8 for w. -5 Suppose 8 = -2*g - 0*g, 0 = 2*b - g - 14. Solve -3 - 17 = b*f for f. -4 Let a = 12 - 10. Solve m + 6 - a = 0 for m. -4 Let l = 38 - 30. Solve -2*c + 2 = l for c. -3 Let p(b) = -b - 7. Let a be p(-5). Let s be -1 + 19 + a/2. Suppose -2*y + 14 = -4*t, 4*y - 4*t - s - 7 = 0. Solve 0 = -d - 0*d + y for d. 5 Suppose -23 = -4*f - 0*h + 5*h, h = 5*f - 13. Let q(s) = s**3 - 2*s**2 - 2*s - 1. Let o be q(f). Let l be (-5)/o*0/(-2). Solve i + 3*i = l for i. 0 Let j be (2 - 1) + 14 + 1. Solve 0*b - 4*b - j = 0 for b. -4 Suppose -3*z = -3*x, 4*z - 5*x + 2*x = 0. Suppose -f = -z*f. Suppose 9*c - 4*c + 3*n = 0, -3*c = -5*n - 34. Solve f*g + c = g for g. 3 Let h(a) = a**2 + 3*a. Let t be h(-4). Let g(i) = i**2 - 5*i + 4. Let o be g(4). Suppose 3*c = 5*n - 30, -2*n - 3*c - 9 = -o*c. Solve t*s = n*s + 3 for s. 3 Suppose 3*c = -c. Solve -n + 5*n - 16 = c for n. 4 Let t(k) = -k**3 + 8*k**2 + 12*k - 17. Let d be t(9). Solve -4*q - d = q for q. -2 Let o = 11 - 8. Suppose -8 = -4*v + z, -6 = -o*v - 0*v + z. Suppose 5*f - v*w = -3*w - 3, 3*f = -w - 3. Solve f = -p - 5 + 1 for p. -4 Suppose -2*i + 1 = -j + 3, j = -4*i + 2. Suppose -7*q + 3*q = i. Solve q = -3*y + y + 4 for y. 2 Suppose n + 1 = -0*n. Let g(a) = -a**3 - 6*a**2 - a - 5. Let d be g(-6). Let r = n + d. Solve p + 1 + r = 0 for p. -1 Let y be 0*(-1 + 0) - -3. Suppose 4*i = y*i + 5. Solve -o + 0 + i = 0 for o. 5 Suppose 3*u + 4*s = 4, 4*u = -u + 2*s + 50. Let x(m) = -m**2 + 10*m - 12. Let t be x(u). Solve t*i = -i - 20 for i. -4 Let f = 91 - 85. Solve 5 = b - f*b for b. -1 Let t be (-16)/(-10) + (-21)/35. Let o be 0 - (2 - 10) - t. Let z = 8 + o. Solve -6*u + u = z for u. -3 Let f = 43 + -39. Solve f*h - 12 = 8*h for h. -3 Suppose 4*l - 173 + 49 = 0. Let n = -16 + l. Let j be (0 - -3)/(n/10). Solve -3*p - j*p + 10 = 0 for p. 2 Let g(y) = 2*y - 4. Let b be g(4). Let v(s) = 8*s + 59. Let z be v(-7). Solve z = c - b*c for c. -1 Let h(u) = -3*u**3 + u**2 - 8*u - 6. Let v(g) = 4*g**3 - 2*g**2 + 9*g + 7. Let d(x) = -5*h(x) - 4*v(x). Let l be d(4). Solve 0*y = l*y + 8 for y. -4 Suppose -2*g + 4 + 11 = 5*l, 4*g = 0. Let b(c) = -c**3 + 5*c**2 - 4*c. Let m be b(l). Solve -m*t + 3*t = 12 for t. -4 Suppose 2 - 6 = -2*c. Solve -2*q = c - 4 for q. 1 Let r(d) = d**3 - 9*d**2 - d + 12. Let w be r(9). Let g be ((-5)/2)/(2/(-20)). Suppose 6*u - u = g. Solve 7 = -u*j - w for j. -2 Let k = 7 - 10. Let v(z) = -z**2 - 2*z - 3. Let i be v(k). Let b be (-10)/i - (-1)/3. Solve -2 - 4 = -b*n for n. 3 Let q be 4/6 + 70/21. Suppose -g - q*x + 7 = 25, 4*x + 24 = 2*g. Solve g*s = 2 + 2 for s. 2 Let s = -7 + 3. Let d be 63*1/((-3)/s). Suppose 0 = 2*a + a - d. Solve -5*l + 3 = a for l. -5 Suppose 118 = 10*a - 42. Solve -4*x - a = -0*x for x. -4 Let p be -7 + ((-21)/(-3) - 4). Let s(l) = 4*l**3 + 6*l**2 - 3*l**3 + l + 2*l + 1. Let v be s(p). Solve 6 = -5*t + v for t. 3 Suppose -w = -0*w + 2, 4*x - 8 = -2*w. Let h be (27/(-6))/((-1)/(-2)). Let o(n) = -n**3 - 9*n**2 - 2*n - 13. Let p be o(h). Solve -x*t - p + 2 = 0 for t. -1 Suppose 4*l + 0*l + 48 = 0. Let s = l + 16. Solve s*r - 25 = -r for r. 5 Let g be -6*3*(-1)/6. Solve g*a - 2*a + 1 = 0 for a. -1 Let f be (0 + 7)*(-40)/(-140) - -2. Let g(w) = 2*w - 5. Let u be g(-5). Let l = u + 30. Solve -l = f*p - p for p. -5 Let o be 5*(-1 - 1)/(-2). Let l be 5/(o*(-3)/(-6)). Solve 6*n = l*n - 16 for n. -4 Let v be (11 + 1)*(-6)/(-8). Let x be 30/v + (-1)/3. Solve -x*t = -t for t. 0 Suppose 6*a - 3*a + k - 16 = 0, 0 = -a - k + 8. Let q be -12*(a/(-3) - -1). Solve q*y + 4 = 12 for y. 2 Suppose 2*c + 3*c = 0. Let m(q) = 4*q - 5. Let u be m(2). Let a = c + u. Solve a*r + 6 = -0 for r. -2 Let b be (-1 + 0)/1 - -8. Let k = -4 + b. Suppose -f - 6 = 2*v + f, 5*v = 5*f + 35. Solve 17 - v = k*x for x. 5 Suppose -77 = -5*d + r, 0*r + 3*r = 9. Let u be (1 + (-12)/d)*20. Solve
{ "pile_set_name": "DM Mathematics" }
pose -92 = 4*t - 3*u, 5*t + 3*u + 61 = -54. Let r be o(t). Solve -2*b + 3*n = -3*b + 9, 2*b + r*n - 6 = 0 for b. 0 Suppose 18 = r - 3*r. Let i = 17 + r. Let w be (2/i)/((-1)/(-20)). Solve w*u - m + 10 = -6*m, 5*m = -2*u - 19 for u. 3 Let s(a) = -4 - 6*a + 4*a + 2. Let k be s(-3). Suppose -k*i = -3*i - 4. Solve r = -6*v + 2*v + 17, 3*r = -v - i for v. 5 Suppose -5*w + 101 + 119 = 0. Suppose 59 = 5*b + w. Solve -5*r = 2*z + 9, -9 = b*r + r + z for r. -3 Suppose -3*n - 3*q = -2 - 1, -5*n + q + 23 = 0. Let p = 11 + -5. Suppose -h + p = h. Solve n*i = -h*m + i - 9, i = 3*m + 5 for m. -2 Let l be -7 - (-66)/6*1. Solve -l + 8 = 5*u + 4*n, -4*n = 4*u - 4 for u. 0 Suppose -22*g + 14 = -15*g. Solve x - g = 2*q - 3*q, -4*x = -2*q - 26 for q. -3 Let s be 6*(93/18 + -5). Solve -4*h - t = -5*h - s, 0 = 2*t - 8 for h. 3 Let d(h) = -h**3 - 10*h**2 - 2*h - 10. Let q be d(-10). Let j = 14 - q. Let a = -1 + j. Solve -6 = a*u - z, 3*z = -u - 11 - 1 for u. -3 Let s(i) = i**3 - 19*i**2 - 3*i + 59. Let r be s(19). Solve 3*x = -2*l - 8 + 5, 5*l - r*x - 2 = 0 for l. 0 Suppose 18*w - 20*w = -2. Suppose i = 4 - w. Let c be 4 + 1*(i + -1). Solve y + 4 = 5*r, r - 3 = 4*y - c*y for y. 1 Suppose 33*x - 46*x + 143 = 0. Solve p + 2*u - x = 0, 0 = -0*p + 3*p + 3*u - 21 for p. 3 Suppose 0 = n - 10 + 34. Let w = -22 - n. Let t(o) = o**3 - 2*o**2 + 2*o - 4. Let s be t(w). Solve -3*i + s*d - 3*d = -12, -10 = 5*i - d for i. -1 Suppose -4*g = -3*p - 40, 4*p = -4*g + 6*p + 36. Suppose -w - 3*s = g, 0 = -3*w + w + 5*s + 19. Solve -4*v - 6 = -v - 2*y, y + 4 = -w*v for v. -2 Let s = -1563 - -1111. Let a be s/12 + (-12)/(-18). Let r = -37 - a. Solve -2*t + 2*b + 2 = r, 4*t + 2*b + 30 = 4 for t. -4 Let b be 14/(-35) - 22/(-5) - -10. Suppose 4*g = -2*o - g + 23, 5*o - b = 2*g. Solve o*p + s = -8, 5*p + s + 13 = -s for p. -1 Let h = 4 + -1. Suppose -2*p + 7 + 3 = -4*j, 2*j = -2*p + 4. Let u be (-4)/(-14) - 52/(-14). Solve -3*a - f + p = 0, -a = u*a + h*f - 1 for a. 2 Suppose -2*n + 0*a + a - 3 = 0, 4*n = 4*a - 12. Suppose -4*z + n*z = -16. Solve d = -0*d + 2*k - 8, -d - 2*k = -z for d. -2 Suppose 4*q + 5*o - 7 = q, -5*q = o - 19. Suppose p - q = -2. Suppose p*b = -5 + 13. Solve 7 - 31 = b*z - 4*a, 5*a - 26 = 3*z for z. -2 Let x(p) = -p**2 + 7*p - 7. Let q be x(5). Let w be -3 + -3*94/2. Let r = w - -161. Solve 4*n = -q*j - r, j + n = -2 - 3 for j. -3 Let o(h) = -h**2 + 9*h - 5. Let p be o(8). Let t(f) = -f**3 + 8*f**2 - 3*f + 4. Let v be t(8). Let w = -8 - v. Solve -3*b - p*s + 3 = 0, 13 = 5*s - w for b. -4 Let y = 8 + -17. Let p = -36 - y. Let g be 1/(-2) - p/6. Solve 5*q + 5*o + 6 = q, 0 = -2*q - 3*o - g for q. 1 Suppose -5*j + 9*j + 4*l - 32 = 0, 5*l = 5*j - 10. Solve -b + j = -4*u + 4*b, -3*u + 5*b = 0 for u. -5 Suppose -24 = -4*g - 4*x, -3*g + 4*g - 4*x = 11. Let u = -1444 - -1446. Solve -p - u*l + g = 0, l = 2*p - 3*l + 26 for p. -3 Let d(l) = l**2 + 3. Let c be d(0). Suppose 12 = 3*j - 0*j. Suppose -j*b + t + 9 = 0, 1 = 4*t + 5. Solve -5 = -c*k + 4*o, 2*k + b*k - 4*o = 0 for k. -5 Let m(s) = -s**2 + 22*s - 109. Let d be m(14). Solve -5 = 4*y - 4*j + 19, -7 = -d*y - 2*j for y. -1 Let s(y) = y**2 + 9*y - 20. Let b be s(-11). Solve -d - 1 = -2*x, 12 = -4*d + b*x - 4 for d. -5 Suppose -62 = 5*p + 168. Let u = -43 - p. Solve 0 = -5*j - u*d + 10, -j - 20 = -d + 6*d for j. 5 Let f = 808 - 805. Solve 4*p - 11 = c, f*p - 5*c = 6*p - 37 for p. 4 Let t = 13 + -8. Let d(f) = -16*f - 222. Let g be d(-14). Solve t*s + 33 = g*u, 2*u - 8 = -0 for s. -5 Let o(t) = -t**2 - 17*t + 3. Let p be o(0). Solve -p = y - 8, -2*v = -3*y + 25 for v. -5 Let h(l) = l**3 + 2*l**2 + 3*l - 2. Let g = 8 - 11. Let q be h(g). Let x = q + 37. Solve 0 = 5*o - 25, 0 = b - 2*o + x - 5 for b. -2 Let t = -8 - -16. Suppose h - t*k = -4*k + 24, -3*k = -4*h + 31. Solve 5*i - 31 = -h*r + 10, -2*i - 6 = -4*r for r. 4 Let w(m) = -m - 7. Let c be w(-10). Solve -3*g = -c*d - 9, g - 6*g - d = -27 for g. 5 Let j = -3 + -13. Let s be 12/(-4) + 3 - j. Solve 3*d = -2*m + 5, -2*d = -6*d + 2*m + s for d. 3 Let u be (-12)/8 + (-18)/(-4). Solve u*d + 15 = d - f, 0 = -2*d + 2*f for d. -5 Let w = 31 + -29. Suppose 0*q + 2*q = y - 1, -2*y + w*q + 4 = 0. Suppose 8 = -3*o - 1, 0 = 4*z - y*o - 9. Solve 3*d + 2*u = -6 + 19, 3*d + 5*u - 10 = z for d. 5 Let z be 2*((-3)/6 + 3). Let q be (-104)/40 + (-2)/z. Let r be q/(-12) + (-11)/(-4). Solve -3*c + 3 = -r*u, -4*c - 4*u = -2*u + 20 for c. -3 Suppose -16*p = 3*d - 14*p - 19, 2*d - 16 = -2*p. Solve 0 = d*m + 5*x + 8 + 5, 0 = -2*m - 5*x - 17 for m. 4 Let f be (4/12 - 3)*(-3)/2. Solve 5*y = -2*z - 0*z - 7, y - 3 = f*z for y. -1 Let l = 2534 + -2528. Solve 4*t - 24 = -4*h, -2*h + 7*h - 4*t + l = 0 for h. 2 Suppose -28*a + 15 = -41. Solve -a*l - 4 = -k - 4*l, 2*l = -2*k for k. -4 Let f be (2/(-6))/((-9)/135). Suppose 2*t = -f*d + 9 + 9, -4*d = -4*t - 20. Solve 0 = 2*s - 5*r + 19, 2*s - 2*r + d = -0*s for s. 3 Suppose 4*f + f = 35. Suppose -4*p - 9 = -f*p. Solve -p*l - 5*r = 29, 0*l - 3*l + r - 5 = 0 for l. -3 Let s be (-6)/(-63)*-3 - 210/(-49). Solve 0 = -q + s*u - 9, 2*u = -4*q - 3*u - 15 for q. -5 Suppose 0 = 2*n - 4 - 8. Suppose 6 = n*v - 4*v. Let q = 1 - -4. Solve v*i + 0*i - q*x = -4, i + x = -4 for i. -3 Let z = 2177 + -2174. Solve 0 = -z*d - 4*f - 14, -2*d = -6*d - 2*f - 12 for d. -2 Let h = -341 + 345. Solve -4*v = 2*t + 2*t + 32, -t + 17 = -h*v for v. -5 Let o(x) = 22*x + 222. Let i be o(-10). Solve -w - 1 = 2*w + 5*p, i*p = 4*w + 10 for w. -2 Let p(l) = 13*l + 21. Let a be p(0). Solve 4*t - 5*v - a = 0, 4*t + 4*v + 4 = -20 for t. -1 Let l be 1/(5 - (3 - (-36)/20)). Solve -3*y = l*g - 11 - 19, -2*y = -5*g + 5 for y. 5 Let n = 11 - 22. Let p = n + 13. Solve -4*h - p = -w + 5, 3*w - 4*h - 13 = 0 for w. 3 Let g be (-3 + (-5)/(-2))/(1/(-36)). Let m be 34/10 + g/(-45). Solve 3*q + 2*l + 2*l - 5 = 0, m*q + l + 1 = 0 for q. -1 Let v = -9 - -19. Suppose 14 = -v*d + 34. Solve -d*s + 2*q + 6 = -0*s, 4*s - q = -3 for s. -2 Let z(w) = w**2 - 8*w + 5. Suppose 2*m + 2*k - 19 = -k, -5*k - 3 = -m. Let n be z(m). Let p = n - 2. Solve 0 = -5*u + r - 2, r - p = u - 1 for u. 0 Let u(m) = 17*m + 138. Let h be u(-8). Solve h*k - 3*f - 5 = -2, 4*f = 3*k - 5 for k. 3 Suppose 2*l + 8 + 6 = 0. Let k = -13 - l. Let v be (-8)/24 - 14/k. Solve r + 3 = v*d - 4*d, d + 3 = r for d. -2 Let o(b) = 5*b**3 - 4*b**2 + 2*b. Let k be o(2). Let f = k + -24. Solve f*g - 7 = r, -17 - 20 = -5*r - 4*g for r. 5 Suppose 3*o - 8*o + 5*v = -155, 4*o - 5*v - 128 = 0. Let x = o - 25. Solve 3*b - 5 = -x*w + 1, 2*w = 6 for b. 0 Suppose -12*a + 6 = -6. Let z be 33*a*4/12. Suppose 0 = -s - 0*s + 3. Solve 2*x = 3*f - 11, -f = s*f + x - z for f. 3 Let k(u) = u**3 + 9*u**2 + 19*u + 9. Let i be k(-3). Solve -l + o + i = 5*o, -5*l = 5*o for l. -2 Let v be (-2 + -2)/(2/(-111)). Suppose -5*g + v = 57. Let a = g + -20. Solve 2*c = 5*f - a, 5*c - 5*f + f = -7 for c. 1 Let n = 14 - 33. Suppose c = -4, 2*v + c - 9 = 27. Let k = v + n. Solve t + k - 12 = 5*q, q + 3 = t for t. 1 Let l(h) = 2*h - 5. Let q(c) = -3*c - 4. Let z be q(-3). Let m be l(z). Let i = 39 - 37. Solve -m*g + i*j = 8 + 12, -4*g + 3*j - 23 = 0 for g. -2 Let f(h) = h**2 + 10*h + 3. Let u be f(-4). Let o = -13 - u. Suppose -k - 16 = -3*b, -3*b - 9*k - o = -4*k. Solve 3*z - 2*w = -10, 7*w - b*w = 3*z + 9 for z. -4 Let l be 6/(-36) + 2/12. Let w be (-3)/2 - (-147)/42. Solve -8 = w*j + 3*c, 3*j + c - 2 + 14 = l for j. -4 Suppose -15*o - 77 + 137 = 0. Solve 4*m - 2*t = -4*t - 10, -3*m = -2*t + o for m. -2 Let m be -4 + (-34 + 2)/(-4) - -1. Solve -5*o - 3*x + 1 = 0, -5*o - 5*x + 0 = -m for o. -1 Suppose -9*b = -3*b - 42. Suppose 0 = -2*m - 3*y + 1, 0*y + b = m - 5*y. Solve 3*f - 1 = m*i, -5*f + 0*i = -i + 3 for f. -1 Let d(r) be the first derivative of r**4/4 + r**3/3 - 7*r**2/2 - 8. Let p be d(3). Solve -p = 2*g - 3*q, -2*q + 12 = g + 3*q for g. -3 Suppose -3*d + 4*d = 2*v + 2, 4 = -4*v. Suppose 15 = 2*q - 1. Suppose 4*z = q, -z = -2*n - n + 7. Solve -3 = g - f, 5 = -n*g + f - d*f for g. -1 Let k = -32 - -34. Solve 2*o + 16 = -0*n + k*n, 29 = 4*n - 3*o for n. 5 Suppose -5 - 1 = -2*k. Suppose 0 = 5*d - k*d - 0*d. Solve 5*r + 5*x - 10 = d, 12 = x + 2*x for r. -2 Suppose 8 = 3*d - 7. Let u = d - -1. Suppose u*w + 4 = 10*w. Solve -3*q = 3*l - 6, 3*l = 2*l + w for q. 1 Suppose -l - 1 = -4. Suppose 3*v
{ "pile_set_name": "DM Mathematics" }
*u*u/((u**(-1/4)/u*u)/u)*u**(-24)/(u*u/(u/(u*u*u*u**8*u))) assuming u is positive. u**(-159/5) Simplify (n*n**(-3/2))**0/((n*n**(-8))/(n**15*n)) assuming n is positive. n**23 Simplify (l**(7/4)*(l/(l/(l/((l*l**(2/5))/l))))/l)/((l*l**(-9)/l)/l*l**3) assuming l is positive. l**(167/20) Simplify ((y**1*y*y)/y)**41*(y/(y*y**(-1/8)*y*y)*y)**2 assuming y is positive. y**(321/4) Simplify (o**(-3))**(-17)*o**(-12)*o/o**1 assuming o is positive. o**39 Simplify (z*z*z**(-17)*z/((z*z/(z**(1/6)/z)*z)/z)*z)/(z**(-6)*z**(-1/4)) assuming z is positive. z**(-115/12) Simplify u*u**(-4/3)*u*u/u**(-8)*(u/(u/u**(-4/17)))/u*u/(u**(-22)/u) assuming u is positive. u**(1654/51) Simplify m**34/m**(-1/25)*m/m**(-8)*m**36/m assuming m is positive. m**(1951/25) Simplify (n**9)**23/(n**(-6/11)*(n/(n/(((n/n**(-4))/n)/n*n)))/n) assuming n is positive. n**(2250/11) Simplify f/(f*f**4/f)*f**(-1/2)/f*(f**(-2/5))**(-2/105) assuming f is positive. f**(-4717/1050) Simplify ((b*b*b/(b**(-1/4)/b*b)*b)**(20/7)*(b/(b*b/(b*b/(b/b**(-1/5)*b))))/b**3)**(-21) assuming b is positive. b**(-834/5) Simplify (z**5)**(-21)*(z/z**(-4))**(-1/9) assuming z is positive. z**(-950/9) Simplify v**0*v*v/((v**(7/2)/v)/v)*(v**(2/21))**(34/3) assuming v is positive. v**(199/126) Simplify q**(9/8)*q**(-12)*(q/((q*q**(-3/2))/q))**(-1/8) assuming q is positive. q**(-179/16) Simplify (h**(-13/2))**18*(h**(-12))**(8/11) assuming h is positive. h**(-1383/11) Simplify ((b/(b/b**(2/15)))/(b*b**(2/9))*(b*b**(1/5))**(-1))**(5/6) assuming b is positive. b**(-103/54) Simplify ((v**(-5))**48)**(-14/9) assuming v is positive. v**(1120/3) Simplify (((b**3*b)/b*b)/b)/(b/b**(-1))*(b*((b/((b**(1/5)*b)/b))/b)/b*b)/(b/((b/(b*(b**(-1/3)/b*b)/b*b))/b)) assuming b is positive. b**(2/15) Simplify h**(-2/53)/((h/(h/(h*h*h/(h**14*h)*h)))/h*h)*(h*h**(-3/8))/(h/h**(-9/7)) assuming h is positive. h**(27607/2968) Simplify (b*(b/b**(-2/5))/b)**(14/3)/(b**(-11)/(b*b**(-14)*b)) assuming b is positive. b**(83/15) Simplify (((x/(x/x**(-8)))/x)/x)**(-3/19)/((x/x**(-2/7))/x)**(27/2) assuming x is positive. x**(-303/133) Simplify i**(6/11)*i**(-3/7)/i*((i*(i**(1/7)/i)/i)/i)/i*i**(-2) assuming i is positive. i**(-442/77) Simplify (c/(c/(c*c**(-3)*c)))**(-31)/(c**(-8/7)*(c/c**(3/5))/c) assuming c is positive. c**(1146/35) Simplify ((l**(1/4))**(-24)/(l**7/(l/l**(-6)*l)))**(1/43) assuming l is positive. l**(-5/43) Simplify ((a/(a/(a**(2/3)/a)))/a)**5*(a**(-3)*a)**(-8/7) assuming a is positive. a**(-92/21) Simplify (b**(1/7)/b**(-8))/(b**(-5)/(b**3*b*b)) assuming b is positive. b**(127/7) Simplify ((h**(1/5)*h)/h**(2/5)*(h**(-2))**(-33))**(-17) assuming h is positive. h**(-5678/5) Simplify (x*x**7/x*x)**(-18)/(x/x**(-2/49)*x**(2/5)) assuming x is positive. x**(-35633/245) Simplify (o/o**(-18/5)*o*o/(((o**(2/115)/o)/o)/o))**35 assuming o is positive. o**(7714/23) Simplify (o/(o*o/(o*o**(2/7))))/o**(2/3)*(o**(5/2)*o*o)/((o**(-7/2)*o*o)/o) assuming o is positive. o**(139/21) Simplify (m**(1/27)/m**17)/((m/(m**(4/9)*m))/m**(-11)) assuming m is positive. m**(-743/27) Simplify ((l/(l/(l/(l*l/((l*l*l*l/l**3*l)/l)*l)*l*l*l)))/(l**(-3)/l))/((l**(3/14)/l*l)/l**(-1/7)) assuming l is positive. l**(79/14) Simplify l*l*l**(-2/7)*l**13*l**10/l*l**(2/7) assuming l is positive. l**24 Simplify l**(-1)*l*l*l/((l*(l/((l/((l**21*l)/l)*l)/l))/l)/l)*l**(-2/33)*l*l**(-3/4) assuming l is positive. l**(-2351/132) Simplify (v**(5/9)*(v/(v**21*v*v))/v)**(-44) assuming v is positive. v**(8888/9) Simplify t**(3/13)/(t*t/(t**(-6)*t))*(t*t/(t/(t*t*t*t**(-3/10)*t))*t)/t*(t**(5/6)*t)/t assuming t is positive. t**(-241/195) Simplify b*b*b**(-4/3)*((b**(9/2)/b)/b)/b*(b/(b**(-6/5)/b))/b**(-4) assuming b is positive. b**(281/30) Simplify (f/(f**6*f))/(f**20*f)*((f**(-33)/f*f)/f)/f**(3/23) assuming f is positive. f**(-1406/23) Simplify (c/c**12*c/(c/c**(-1/6)))/(c**(2/13)/c**(-13/4)) assuming c is positive. c**(-2273/156) Simplify ((h**(-2/7))**(-2/23)/(h/(h/h**(4/5)))**2)**(-13/5) assuming h is positive. h**(16484/4025) Simplify ((z*(z/(z*z*z**0))/z*z)**(11/4)/(z*z*z/(z/(z/(z/(z*z*z**(2/3))))*z)*z/((z*z**0*z)/z*z)))**(-22) assuming z is positive. z**(176/3) Simplify (g**33/(g**16/g*g))**3 assuming g is positive. g**51 Simplify (s/((s/(s*s**(6/5)))/s)*s*(s/(s*s**(-26)*s)*s)/s)/(s**(-33)/(s*s/(s**(-11)/s))) assuming s is positive. s**(381/5) Simplify (h/h**(-4))/h**(-13)*(((h**(-8)*h)/h)/h)/(h**11/h) assuming h is positive. 1/h Simplify ((m/((m*(m**(-2/5)/m)/m)/m))/m)**18/(m**21*(m*m**(-7/4))/m) assuming m is positive. m**(479/20) Simplify ((s*s*s/(s*s**(-1/4))*s*s*s**(-1/4)*s*s)/(s**(1/2)*s**(3/2)/s))**(-24) assuming s is positive. s**(-120) Simplify (((v/v**2)/(v**(2/19)*v))/(v/v**(-1/4)*v)**(-1/23))**17 assuming v is positive. v**(-59653/1748) Simplify (d*d**(-2/51))/(d**(-1)/d)*d**(1/13)/(d/d**9*d) assuming d is positive. d**(6655/663) Simplify (a**(5/6))**(36/7)/((a*a**(-19)/a*a)/a**(2/61)) assuming a is positive. a**(9530/427) Simplify (s*s/(s/((s*s**(-2/3))/s))*s**(5/4)*s*s/(s**(-4/9)/s)*s/(s*s**(1/6)))**(-3/13) assuming s is positive. s**(-175/156) Simplify ((o/o**(-4/7))/o*o/(o*o**(-2)))/(o*o*o**0)**(-49) assuming o is positive. o**(704/7) Simplify ((s**5*s)/(s*(s/((s*s*s/(s*s**38))/s*s))/s))/(s**(-2/33)/s**(-1/16)) assuming s is positive. s**(-16369/528) Simplify (o**(1/7)*o)**(2/115)*(o/(o/(o*(o*o*(o*o*o**(-3/4))/o)/o*o*o)))/(o**(2/9)/o) assuming o is positive. o**(146281/28980) Simplify ((s**3*s*s*s*(s*s*s**4*s)/s*s)/(s**(-2/5)*s*s)**(12/17))**12 assuming s is positive. s**(12108/85) Simplify (k**(1/21)/(k/(k**(-15)*k)))/(k**13*k**(-8)) assuming k is positive. k**(-419/21) Simplify (t*t*t*t**(-2/13)/t*t*t/(t*t**(1/4)))/(t**(2/3))**(-2/9) assuming t is positive. t**(3853/1404) Simplify s**(2/5)*s**(-1/7)*(s/(s**(-1/6)/s*s))**(19/6) assuming s is positive. s**(4979/1260) Simplify ((t**(-15)*t**19/t)**(-37))**(-11) assuming t is positive. t**1221 Simplify ((s*s**(10/7))/s*s**(-12))/(s**(-3/8))**(-26) assuming s is positive. s**(-569/28) Simplify s**(1/10)*s*s/(s*s/s**(-7))*s*s*s**(-2/3)*s*s**(-1/3) assuming s is positive. s**(-49/10) Simplify d**(-2)*d**(3/11)*(d*((d*d*d**8*d*d*d*d)/d)/d)/d*d/d**(3/7) assuming d is positive. d**(835/77) Simplify (((b**(-9/4)*b)/b)/b*b/b**2)/((b/b**(-1/3))/((b*b*b**(-2/5)/b)/b)) assuming b is positive. b**(-359/60) Simplify a**(1/8)*a/(a*a**(2/19))*a**(-2/39)/(a*a*a**(4/15)) assuming a is positive. a**(-68119/29640) Simplify (o**(3/2))**42*o**(-5)/(o/o**(-2/3)) assuming o is positive. o**(169/3) Simplify d**(-3/7)/(d*d**(-3/5))*(d**3)**(-9/4) assuming d is positive. d**(-1061/140) Simplify (t**(-1/2)*t**(-2/35)*t)/(t**5*t*t**(-5)) assuming t is positive. t**(-39/70) Simplify (g*g**(1/6))**(-44)/(g*g*g**5)**(2/23) assuming g is positive. g**(-3584/69) Simplify (n/(n*n**(1/20))*n**2*n)/((n/(n*n**(1/8)))/n**(-4/3)) assuming n is positive. n**(209/120) Simplify z**4/(z/z**(4/3))*(z/(z**(-3/2)/z))**(-3/10) assuming z is positive. z**(197/60) Simplify d**18/((d/(d*d/(d/(d/d**(1/3)*d))*d)*d)/d)*(d/(d/(d*d**10)))**37 assuming d is positive. d**(1283/3) Simplify ((t**2)**46*(((t/(t/(t/(t*t**(1/8)*t)))*t)/t)/t)/(t/(t*t/((t/((t*t*t**6)/t))/t)*t)))**(-11/6) assuming t is positive. t**(-8701/48) Simplify (h**(-3/11))**45/(h**14/h**(-6)) assuming h is positive. h**(-355/11) Simplify d**(-28)/(d*d/d**(-1/31))*d**(-1/6)*d*(d**34*d*d)/d assuming d is positive. d**(1079/186) Simplify (((r**11*r*r*r)/r)/r**(1/37))/(r**10/r*r**(1/5)*r) assuming r is positive. r**(513/185) Simplify (((u**(-1/2)*u*u)**(-2/15))**43)**(-5/16) assuming u is positive. u**(43/16) Simplify (i/(i/(i**(-4)*i)*i)*i*i/((i/i**(-1/6))/i)*(i/(i*i**1)*i)**(-41/3))**(-8) assuming i is positive. i**(52/3) Simplify ((r*r**(-9)*r)/r)/(r*r*r*r/r**(1/6)*r*r)*r**27*r*r/(r**8*r*r)*r assuming r is positive. r**(37/6) Simplify ((m*m*m**(-9)*m*((m/(m*m/m**5))/m)/m)/(m/(((m/(m**(-2/7)*m))/m)/m)*m**(-7)))**(-21/5) assuming m is positive. m**(-6/5) Simplify (x**(2/3))**14*x**(1/27)*x*x**(-2/7) assuming x is positive. x**(1906/189) Simplify (d**4*d)**(8/5)/(d/(((d**(2/5)*d)/d)/d))**(-6/11) assuming d is positive. d**(488/55) Simplify (x/(x*x**(-30)/x)*(x*x*x**(9/4)*x)/x)/((x**(1/2)/x*x*x*x)/x*x/(x*x/(x**(-3)/x*x*x*x))) assuming x is positive. x**(143/4) Simplify (x**(-1/5))**(-3/14)/(x**(-5/4)*x**(-11)/x)
{ "pile_set_name": "DM Mathematics" }
x(a) = a - 5. Let m be x(6). Let c = m - -1. Let b(g) = 8*g**c - 3*g**2 - 3*g**2 - 4*g**2. Let p(t) = -8*t**2. Give b(p(s)). -128*s**4 Let a(i) be the third derivative of 13*i**4/24 - 11*i**2. Let l(z) = -3*z. Calculate l(a(q)). -39*q Let f(w) = -368*w**2 - 2*w - 2. Let r(g) = -31*g + 1. Give r(f(m)). 11408*m**2 + 62*m + 63 Let a(p) = -43*p. Let g(x) = 937*x**2. What is a(g(n))? -40291*n**2 Let m(r) = -9*r**2 - 4*r. Let l(s) = 11*s**2 - 12*s + 6. Let n(w) = 45*w**2 - 50*w + 25. Let i(z) = -25*l(z) + 6*n(z). What is m(i(u))? -225*u**4 + 20*u**2 Let k(q) = -q**2. Let h(v) = 2957*v + 2 - 3 - 3444*v. What is h(k(n))? 487*n**2 - 1 Let s(p) = 2*p. Let h(n) be the first derivative of 299 - 296 + n - n + 9*n**2. What is h(s(x))? 36*x Let o(j) be the first derivative of 7*j**5/60 - 22*j**3/3 + 31. Let f(b) be the third derivative of o(b). Let r(a) = -5*a. What is f(r(k))? -70*k Let b(i) be the first derivative of 3*i**2 - 5. Let h(f) = -f**2 + 11*f. Let c(a) = -a. Let l(s) = 22*c(s) + 2*h(s). What is b(l(q))? -12*q**2 Let x(z) be the second derivative of -5*z**4/6 - 5*z + 12. Let s(w) = -3*w**2. What is x(s(g))? -90*g**4 Let f(i) = 5*i**2. Let q(w) be the second derivative of -7/6*w**3 + 0*w**2 - 39*w + 0. Calculate f(q(j)). 245*j**2 Let n(i) = 2*i. Let m(f) = 72982*f**2. What is m(n(y))? 291928*y**2 Let s(l) = 55*l**2. Let t(c) = -16*c + 6. Let n(o) = -3*o + 1. Let a(p) = -24*n(p) + 4*t(p). What is a(s(q))? 440*q**2 Let r(z) = z**2. Let y = -17 + 19. Let c(m) = y - 3 + 1 + m. Calculate r(c(u)). u**2 Let a(v) = 3*v - 1. Let u be a(2). Let d(o) = u + o - 5. Let s(r) = -7*r + 7*r + 4*r - 2*r. Determine d(s(f)). 2*f Let n(u) = 78*u. Let x(g) = 747*g**2 - 3. Determine x(n(k)). 4544748*k**2 - 3 Let y(r) = 0 + 2 + 3 - 7*r**2. Let z(f) = 3*f**2 - 2. Let c be -6*(-3 - -2 - (-25)/15). Let l(i) = c*y(i) - 10*z(i). Let a(b) = 9*b. Determine a(l(o)). -18*o**2 Let h(q) = -11353*q. Let b(t) = -t. Calculate b(h(g)). 11353*g Let z(f) = 313183*f**2. Let r(s) = -s**2. Give z(r(m)). 313183*m**4 Let w(m) = 3*m**2. Let t(j) = -2189*j**2 + 1093*j**2 + 1099*j**2 - 9*j. Calculate t(w(o)). 27*o**4 - 27*o**2 Let x(a) = 2*a**2. Let m(w) = -104*w**2 - 106*w**2 + 198*w**2. Determine x(m(c)). 288*c**4 Let b(j) be the third derivative of -j**5/60 + 3830*j**2. Let z(o) = -154*o**2 + 35*o. Let k(m) = -17*m**2 + 4*m. Let r(y) = 35*k(y) - 4*z(y). Give b(r(g)). -441*g**4 Let a(p) = 6*p**2. Let b(v) = 172*v**2 - 6*v - 12. What is b(a(h))? 6192*h**4 - 36*h**2 - 12 Let r(k) = -29*k. Let m be (12/(-21))/(2/(-7)). Let l(u) = -58*u**2 + u + 57*u**m - u. What is l(r(y))? -841*y**2 Let f(v) = -11*v. Let b(j) = -11*j**2 + 6*j - 3. Let d(k) = 12*k**2 - 8*k + 4. Let p(s) = -4*b(s) - 3*d(s). Give p(f(l)). 968*l**2 Let q(y) = 933848*y. Let t(j) = -2*j. Calculate t(q(k)). -1867696*k Let c(i) be the first derivative of 7*i**2 + 317. Let f(a) = -a. Calculate f(c(q)). -14*q Let f(h) = 18*h**2 + 1. Let g(c) = -30435*c**2. Calculate f(g(j)). 16673206050*j**4 + 1 Let w(y) = -52 + 29 - y**2 + 23. Let r(x) = -37*x**2. Give r(w(m)). -37*m**4 Let i(j) = -6*j**2. Suppose 0*q + 9 = 3*q. Suppose -2*p = q*p - 155. Let o(m) = -m + 31 - p. What is o(i(u))? 6*u**2 Let u(f) = -16*f**2. Let z(t) = 561*t - 78. Give z(u(a)). -8976*a**2 - 78 Let g(x) = 12*x**2 + 47. Let f(q) = -9*q - 6. Calculate f(g(h)). -108*h**2 - 429 Let d(p) = -p. Let l(w) = -17*w**2. Let f be (-26 - -30) + (1 - 2). Let b(t) = -6*t**2. Let h(k) = f*l(k) - 8*b(k). Calculate h(d(g)). -3*g**2 Let c(k) = 4*k**2 + 4*k + 2. Let w(r) = 5*r**2 + 6*r + 3. Let v(o) = -3*c(o) + 2*w(o). Let b(j) = j**2 + 25*j. Determine v(b(l)). -2*l**4 - 100*l**3 - 1250*l**2 Let u(c) = c - 33. Let f(y) = 5*y + 2. Let a(m) = 6*m + 3. Let i(g) = 2*a(g) - 3*f(g). Give u(i(n)). -3*n - 33 Let u(v) = 67 + 3*v**2 - 67. Let x(z) = -z**2 + 5*z - 5. Let h(l) = l - 1. Let q(f) = -5*h(f) + x(f). Determine u(q(a)). 3*a**4 Let g(i) = -14*i**2. Let d(m) = 548 - 2*m**2 - 548. Give g(d(j)). -56*j**4 Let t(h) = -6*h + 1373. Let j(f) = -6*f. What is t(j(n))? 36*n + 1373 Let b(n) = -n. Let v(c) be the third derivative of -129*c**4/8 - 2*c**2 + 42*c. What is v(b(w))? 387*w Let i be 2454/15 + 1 - (-4)/10. Let p(x) = -i*x + 322*x - 144*x. Let d(z) = -2*z. Give d(p(u)). -26*u Let h(n) = -2*n**2 + 117. Let m(w) = 1781*w - 2*w**2 - 886*w - 895*w. Give h(m(t)). -8*t**4 + 117 Let h(f) = 2*f**2 - 70*f - 5. Let u(j) = -5*j**2 + 182*j + 13. Let i(c) = -13*h(c) - 5*u(c). Let m(s) = 54*s + 79*s - 23*s. Calculate i(m(t)). -12100*t**2 Let f(l) = -4*l**2. Let j(s) = 33*s + 4 - 3 - 2 + 1. Calculate j(f(y)). -132*y**2 Let r(a) be the first derivative of a**2 - 5. Let y(m) be the first derivative of m**4/2 - 14*m + 3. Let w(i) be the first derivative of y(i). Give r(w(t)). 12*t**2 Let b(n) = -16*n. Let y(d) = 273*d - 1. Calculate y(b(z)). -4368*z - 1 Let f(k) = -k. Let j(a) be the third derivative of 0 + 0*a**3 + 27*a**2 + 0*a + 3/2*a**4. Give f(j(n)). -36*n Let t(b) = 1. Let i(r) = -3*r - 6. Let u(k) = i(k) + 6*t(k). Let a(d) = -8*d. What is a(u(q))? 24*q Let g(a) = -30*a. Let s(y) = -2*y - 2293. Determine g(s(p)). 60*p + 68790 Let o(l) be the first derivative of 5*l**3/3 - 8. Let m(i) = 6*i**2. Determine o(m(c)). 180*c**4 Let x(w) = 5*w. Let r(k) be the second derivative of 17*k**4/6 - 352*k. Calculate x(r(v)). 170*v**2 Let t(z) = -9*z**2. Let m be ((-978)/2)/(-1)*(4 + -3). Let d(s) = s**3 + 16*s**2 - 6*s + 6. Let r be d(-7). Let a(i) = -r - i**2 + m. Give t(a(b)). -9*b**4 Let l(z) = 9*z. Let d(y) = -57417*y + y**2 + 57417*y. Give d(l(x)). 81*x**2 Let b(o) = 1 - 1 + 2*o**2. Let z(a) = -50*a + 12. Let y(c) = -140*c + 34. Let g(p) = 6*y(p) - 17*z(p). Calculate b(g(m)). 200*m**2 Let s(f) = -4103*f**2. Let p(n) = -562*n**2. Give p(s(o)). -9461050258*o**4 Let y(f) = -f. Let g(v) = v**2 - 7*v - 7. Let o(p) = 5*p - 7. Let d(h) = 6*h - 8. Let n(c) = 6*d(c) - 7*o(c). Let z(j) = 4*g(j) + 28*n(j). Determine z(y(u)). 4*u**2 Let f(l) = l**2. Let n(q) = 190*q + 1. What is f(n(b))? 36100*b**2 + 380*b + 1 Let x(i) = -6*i. Let r(z) be the first derivative of -38*z**3/3 + 179. Calculate x(r(y)). 228*y**2 Let j(n) = n**2 + 2*n - 1. Let o be j(1). Let c(m) = 4 - 5 - 4*m**o + 1. Let g(k) = -1. Let p(u) = -u + 11. Let w(q) = 44*g(q) + 4*p(q). Give c(w(b)). -64*b**2 Let r(n) = -n + 619. Let h(z) = 12*z + 1. Give h(r(d)). -12*d + 7429 Let l(y) = 112*y**2. Let j(s) = -297*s**2. What is j(l(d))? -3725568*d**4 Let k(c) = 112*c**2. Let l(w) be the third derivative of -5*w**4/24 - 2*w**2 + 47*w. Calculate k(l(g)). 2800*g**2 Let v(c) = 3*c + 18. Let k(o) = 472*o**2 - 5 + 5 - 471*o**2. Determine k(v(h)). 9*h**2 + 108*h + 324 Let q(z) = -z + 62. Let b(u) = 9*u**2 - 6*u + 18. Let t(k) = 8*k**2 - 5*k + 15. Let f(y) = 5*b(y) - 6*t(y). What is q(f(m))? 3*m**2 + 62 Let n(q) = -143233*q**2 + 2. Let a(x) = -x. What is n(a(i))? -143233*i**2 + 2 Let t(y) = -3*y. Let l(p) = -382*p + 6. Give t(l(j)). 1146*j - 18 Let x(c) = c. Let t(a) = -19*a - 1825. Determine x(t(o)). -19*o - 1825 Let p(m) = 5*m. Let v(c) = 4 - 4*c + 13 - 12. Give p(v(u)). -20*u + 25 Let h(r) = 57*r + 1026. Let i be h(-18). Let u(n) be the second derivative of 0*n**3 - 1/6*n**4 + 2*n + i*n**2 + 0. Let q(b) = 29*b. What is q(u(a))? -58*a**2 Let u be (-5)/(-10) - (-959)/2. Suppose -7*n = -1411 + u. Let x(y) = n - 133 + y. Let z(c) = -22*c. Determine x(z(v)). -22*v Let r(p) = 2*p. Let m(d) = d - 124694 + 124694 - d**2. What is m(r(u))? -4*u**2 + 2*u Let y(p) be the first derivative of 4 + 0*p - 11/3*p**3 + 0*p**2. Let u(k) = -2*k**2. What is y(u(s))? -44*s**4 Let d(s) be the first derivative of 0*s**2 + 1/2*s**3 - 4*s + 1. Let x(u) be the first derivative of d(u). Let t(g) = -2*g**2. Give t(x(v)). -18*v**2 Let n(r) = -7*r. Let f(i) = -90 + 38*i + 276 - 91 - 95. Give n(f(q)). -266*q Suppose 4*l + 3*y = 4038, 0*l - l - 5*y = -1018. Let i(o) = l + 16*o**2 - 1008. Let r(v) = -4*v. What is i(r(p))? 256*p**2 Let l(w) = -w**2. Let j(i) = 22*i - 5. Let q(z) = -70 - 96 + 945*z - 50. Let c(k) = 216*j(k) - 5*q(k). What is c(l(b))? -27*b**2 Let p = 6 + -9. Let l(s) = 5*s - 3. Let f(k) = 4*k - 2. Suppose w = -5*h + 27, 5*w + 11 = 3*w + 3*h. Let t(c) = p*f(c) + w*l(c). Let m(q) = -12*q. Give t(m(v)). 24*v Let r(b) = 2*b**2. Let x(q) be the second derivative of -71*q**4/12 - q + 322. Determine r(x(l)).
{ "pile_set_name": "DM Mathematics" }
2 + 3*f + 1. Factor g(y). -5*(y - 1)*(y + 1)**2*(y + 12) Let m(b) = -5*b**5 - 3*b**4 + 7*b**3 - 5*b + 3. Let y(f) = -7*f**4 + 22*f**3 - 6*f**4 - 16*f + 3*f**4 - 16*f**5 + 10. Let c(s) = 20*m(s) - 6*y(s). Factor c(t). -4*t*(t - 1)**2*(t + 1)**2 Suppose -2*z = 5*o + z - 12, -12 = -3*o - 3*z. Suppose 16 = -4*p, 5*q = 4*q + p + 4. Factor q*j**2 + o + 5/3*j**4 + 2/3*j**3 + 0*j. j**3*(5*j + 2)/3 Suppose -11*z + 90 = 90. Let 36/5*t**4 + z - 32/5*t**2 + 14/5*t**3 + 8/5*t - 18/5*t**5 = 0. What is t? -1, 0, 1/3, 2/3, 2 Let g(f) be the first derivative of 34 + 0*f**3 + 32/45*f**5 - 1/9*f**6 + 0*f + 16/9*f**2 - 4/3*f**4. Suppose g(x) = 0. Calculate x. -2/3, 0, 2 Suppose -c + 129 = 1. Let r be 4*4/c*2. Solve 0 + r*k**3 - 1/4*k - 1/2*k**4 + 1/2*k**2 = 0. -1, 0, 1/2, 1 Let p = 251 + -138. Factor -1 + 196*a**3 + 128*a - p*a**2 - 15 - 195*a**2. 4*(a - 1)*(7*a - 2)**2 Factor -b**2 + 25*b**2 + 150 - 65*b - 29*b**2. -5*(b - 2)*(b + 15) Let h(w) be the third derivative of 0 + 0*w - 1/30*w**5 + 5/48*w**4 - 9*w**2 - 1/6*w**3 + 1/240*w**6. Suppose h(m) = 0. What is m? 1, 2 Suppose -5*n + 8 + 12 = 0. Suppose -n*p + 7*p = 6. Factor -u**2 + 4*u**2 - 4*u**3 + 3*u**p - 4 - 2*u**2 + 4*u. -4*(u - 1)**2*(u + 1) Let q = -1/101 + 508/303. Let r = q - 4/3. Let 0 - r*p + 1/3*p**2 = 0. What is p? 0, 1 Suppose 24*f = 25*f. Let y(k) be the third derivative of 0 + 0*k + 1/144*k**4 + f*k**3 + 1/360*k**5 + 5*k**2. Find n such that y(n) = 0. -1, 0 Let o = 3 - -2. Suppose -12*j - 64 = -20*j. Factor -6*l - j + o + 2*l**2 + 7. 2*(l - 2)*(l - 1) Suppose -3*f - 4*h = -f + 14, h = -3*f + 4. Suppose f*p = -5*p + 16. Suppose 24/17*z**3 + 2/17*z**5 + 12/17*z**4 + 16/17*z**p + 0 + 0*z = 0. Calculate z. -2, 0 Let s be (8 - 10)/20 + (-4)/(-40). Factor 5/3*n - 5/3*n**3 + 0*n**2 + s. -5*n*(n - 1)*(n + 1)/3 Let j be 16 + 3504/(-216) - (-2 + (-32)/(-18)). Let -11/2*p**2 - p - 8*p**3 - 7/2*p**4 + j = 0. Calculate p. -1, -2/7, 0 Let x(w) be the first derivative of 5*w**3/3 - 10*w**2 + 22*w + 5. Let d(l) = -110*l**2 + 440*l - 485. Let t(o) = 2*d(o) + 45*x(o). Factor t(f). 5*(f - 2)**2 Let j = 4 + 1. Let n(i) = i**2 - 5*i + 2. Let x be n(j). Factor 6*f - 6*f + 6*f**2 - 5*f**3 - f**x. -5*f**2*(f - 1) Let k(z) = -3*z**5 + 5*z**4 - 2*z**3 - 2*z**2 + 4. Let b(f) = f**5 - f**3 - f**2 + 2. Let d(u) = 2*b(u) - k(u). Let d(o) = 0. What is o? 0, 1 Let o = -39 + 47. Determine h, given that -45*h + 20*h**2 + 9*h + o - 8*h = 0. 1/5, 2 Let m(i) be the second derivative of -i**6/75 - i**5/5 - 4*i**4/5 + 2*i**3/3 + 5*i**2 - 5*i - 4. Suppose m(b) = 0. What is b? -5, -1, 1 Let r(n) be the third derivative of -n**8/110880 - n**7/5544 - n**6/990 + 7*n**5/20 - 43*n**2. Let t(s) be the third derivative of r(s). Factor t(z). -2*(z + 1)*(z + 4)/11 Let t(u) be the first derivative of u**4/7 + 4*u**3/3 + 12*u**2/7 + 27. Factor t(z). 4*z*(z + 1)*(z + 6)/7 Let g = 6 + -3. What is v in -5*v**2 + 2*v**g - 4*v + 0*v**2 + 7*v**2 = 0? -2, 0, 1 Let d be (9 - 72/(-60)) + 22/(-10). Solve -d*c + 2/3*c**5 - 2*c**4 + 22/3*c**2 + 8/3 - 2/3*c**3 = 0. -2, 1, 2 Let w be (-16)/(-14)*-4*(-147)/168. Determine x so that 0 - 2/3*x**5 + 2/3*x**3 + 0*x - 4/3*x**w + 4/3*x**2 = 0. -2, -1, 0, 1 Suppose -17*z = -22*z + 2*u + 42, -2*u - 12 = -2*z. Let s be (-76)/56 + (25/z - 0). Factor 0 + s*a + 2/7*a**3 - 8/7*a**2. 2*a*(a - 2)**2/7 Let o(p) be the third derivative of -p**8/224 + 3*p**7/140 + p**6/80 - 11*p**5/40 + 3*p**4/4 - p**3 - p**2 + 82*p. Determine z, given that o(z) = 0. -2, 1, 2 Let b = 6 - 1. Suppose 0 = b*w + 5*n - 35, 0 = -0*w - 4*w - 2*n + 20. Factor -2/3 - 2/3*s**4 - 8/3*s**w - 4*s**2 - 8/3*s. -2*(s + 1)**4/3 Let u(j) = 9*j**3 + 3. Let w(s) = -25*s**3 + 2*s**2 - s - 8. Let p(b) = -8*u(b) - 3*w(b). Determine o, given that p(o) = 0. 0, 1 Let h(u) be the third derivative of u**7/1260 - u**6/30 + 3*u**5/5 - 6*u**4 - 5*u**3/6 - 9*u**2. Let n(r) be the first derivative of h(r). Factor n(t). 2*(t - 6)**3/3 Let x(g) = 2*g - 30. Let z be x(19). Factor h - 16*h**2 + 35*h + 12*h - z*h**2 - 21*h**3 - 3*h**4. -3*h*(h - 1)*(h + 4)**2 Suppose 0 + 2 = n. Suppose -2 = -2*b - 2*b + n*u, u + 4 = 5*b. Factor 8 - 15*j - 3 + b - 21*j**2. -3*(j + 1)*(7*j - 2) Let y be 195/26 - 2/(-4). Find w such that -y*w**2 + 4*w**2 - 20*w + 5*w**3 - 11*w**2 = 0. -1, 0, 4 Let q(p) be the third derivative of -p**7/840 + p**6/160 - p**4/24 - 36*p**2 - 2. Solve q(h) = 0 for h. -1, 0, 2 Suppose 4205*k = 4270*k. Factor k + 1/4*u**2 + 7/4*u. u*(u + 7)/4 Suppose 94*o - 96*o - 2*d - 6 = 0, -5*o + 12 = -4*d. What is z in -12/11*z**4 + o + 32/11*z + 2/11*z**5 + 48/11*z**2 + 2/11*z**3 = 0? -1, 0, 4 Let v = 74 + -187. Let r = v - -118. Factor -1/9*b**4 + 4/9 - 1/9*b**r - 8/9*b + 1/9*b**2 + 5/9*b**3. -(b - 1)**3*(b + 2)**2/9 Let i(c) = -c**3 - 5*c**2 - 4*c - 60. Let l be i(-6). Factor -4/7*k**2 - 4/7*k + l. -4*k*(k + 1)/7 Let u(n) be the third derivative of -n**9/15120 - n**8/1008 - n**7/180 - n**6/60 + 4*n**5/15 - 15*n**2. Let k(w) be the third derivative of u(w). Factor k(i). -4*(i + 1)**2*(i + 3) Suppose -4577 = 3*r - 4583. Let q(h) be the first derivative of -r*h**2 - 10 - 4*h + h**3 + h**4 + 1/5*h**5. Find g such that q(g) = 0. -2, -1, 1 Let r(k) be the first derivative of -k**6/12 + k**5 - 9*k**4/2 + 9*k**3 - 27*k**2/4 - 445. Factor r(o). -o*(o - 3)**3*(o - 1)/2 Let o = -25 + 10. Let z = -13 - o. Let 1 - 3 - z*f**2 - 2*f + 6*f = 0. What is f? 1 Suppose -2*x - 5 = 5*s, -4*s - 6 = -0*x + 2*x. Suppose 4*f + 3*i = 65, 2*f - 26 = -3*i - s. Solve -7*a**2 + f + 3*a**2 - 28 + 12 = 0. -1, 1 Let t = 58 + -53. Let o(n) = -30*n**3 - 35*n**2 - 15*n - 5. Let d(w) = w**4 + 29*w**3 + 35*w**2 + 15*w + 4. Let k(g) = t*d(g) + 4*o(g). Let k(y) = 0. What is y? -3, -1, 0 Let b be 7/(-126)*14/(-7). Let l(o) be the first derivative of -b*o**3 + 0*o - 3 + 1/24*o**4 + 1/12*o**2. Factor l(q). q*(q - 1)**2/6 Let f(i) be the second derivative of -i**6/10 + 9*i**5/2 - 225*i**4/4 + 181*i. Factor f(b). -3*b**2*(b - 15)**2 Let m(j) = j**2 - 6*j + 13. Let u be m(4). Let n(s) be the third derivative of 1/20*s**u - 5*s**2 + 0*s**3 + 0*s + 1/16*s**4 + 0. Determine d so that n(d) = 0. -1/2, 0 Let y(i) be the second derivative of -i**7/42 - i**6/15 + 13*i**5/20 - 5*i**4/6 + 68*i. Factor y(l). -l**2*(l - 2)*(l - 1)*(l + 5) Let g(a) = -10*a - 3. Let q(v) = 70*v + 20. Let s(d) = -44*g(d) - 6*q(d). Let y(h) = -h**2 - 19*h - 12. Let n(b) = 3*s(b) + 4*y(b). Find l, given that n(l) = 0. -3, -1 Let w(c) be the third derivative of -10/3*c**4 + 0 - 1/30*c**6 + 8/15*c**5 + 32/3*c**3 - 19*c**2 + 0*c. Find p, given that w(p) = 0. 2, 4 Let j(z) be the first derivative of 0*z**3 + 0*z**2 + 7 + 0*z - z**4 - 2/5*z**5. Factor j(h). -2*h**3*(h + 2) Let c = 33 + -19. Let a = c - 6. Factor 1 - 5 - 2*q**2 - q**2 + a*q - q**2. -4*(q - 1)**2 Let x(g) = 8*g**2 + 18*g + 22. Let u(z) = -6*z**2 - 18*z - 20. Let p(l) = 3*u(l) + 2*x(l). Find b, given that p(b) = 0. -8, -1 Let v(a) = 6*a**2 - 6*a. Let c(p) = 5*p**2 - 5*p. Let z = -13 + 19. Suppose 4 = -r + z. Let s(u) = r*v(u) - 3*c(u). Let s(t) = 0. Calculate t. 0, 1 Let b = 40 - 28. Let -f**3 + 5*f**3 - f**3 + b*f + f**3 - 16*f**2 = 0. Calculate f. 0, 1, 3 Let z be 62/(-279) - 60/(-27). What is i in 0 + 2/7*i**3 + 0*i**z - 2/7*i = 0? -1, 0, 1 Let g(z) = -57*z**3 + 93*z**2 - 300*z - 384. Let c(h) = 67*h**3 - 94*h**2 + 300*h + 384. Let l(t) = -6*c(t) - 7*g(t). Factor l(y). -3*(y - 4)*(y + 1)*(y + 32) Let k be (-37 - -42 - 12) + 114/16. Find u such that k - 3/8*u**4 - 1/4*u**3 - 1/8*u**5 + 1/4*u**2 + 3/8*u = 0. -1, 1 Factor 8/3*f**2 + 2/9*f**3 + 0 + 22/9*f. 2*f*(f + 1)*(f + 11)/9 Let p(o) = -24*o**2 - 4*o + 22. Let q(v) = -3*v**2 + 2. Let m(b) = -p(b) + 6*q(b). Solve m(i) = 0. -5/3, 1 Let o(r) be the third derivative of -r**8/672 - r**7/21 + 23*r**6/60 - 4*r**5/5 + 7*r**2 - 11. Factor o(t). -t**2*(t - 2)**2*(t + 24)/2 Let k(c) be the first derivative of -c**3 + 15*c**2 - 27*c - 28. Factor k(g). -3*(g - 9)*(g - 1) Let q be (9/42)/(6/8). Let w = 3/194 + 1143/1358. Find f such that -w - q*f**2 - 8/7*f = 0. -3, -1 Let x(o) be the second derivative of 10*o + 1/4*o**4 - o**3 + 0*o**2 + 0. Solve x(s) = 0 for s. 0, 2 Let f(u) be the first derivative of 0*u + 1/600*u**6 + 1/10*u**4 + u**3 - 1/50*u**5 + 0*u**2 + 5. Let r(n) be the third derivative of f(n). Factor r(s). 3*(s - 2)**2/5 Let y(q) = 152*q + 1371. Let
{ "pile_set_name": "DM Mathematics" }
d by s? 14 Suppose -18*b + 13*b + 595 = 0. Let f = b + -101. Calculate the remainder when 80 is divided by f. 8 Suppose 3*n + b - 202 = 0, -4*n + 205 = -n + 4*b. Suppose 182*i = -17608 + 18882. Calculate the remainder when n is divided by i. 4 Let t(x) = -x**2 - 30*x + 32. Let f be t(-28). Suppose -100 + f = -p. Calculate the remainder when 21 is divided by p. 9 Let c be 0/1 + 57 + -55. Suppose 27 + 63 = c*b. What is the remainder when b is divided by 10? 5 Suppose -j = 2*t - 13182 + 4656, t - 34048 = -4*j. What is the remainder when j is divided by 99? 95 Let z be (56/12)/((-3)/(-54) + 0). Suppose z + 24 = 9*f. Suppose 0 = 3*c + h - 19, 0*h + 29 = 3*c - 4*h. Calculate the remainder when f is divided by c. 5 Let p(h) = -30*h**3 + 11*h**2 + 22*h**3 - 25 + 7*h**3 - 5*h. What is the remainder when p(9) is divided by 40? 12 Suppose -5*d - 111 = -2*o, 2*o - 65 - 6 = -3*d. What is the remainder when 124 is divided by o? 38 Suppose 3*r = 124 - 37. Let k be (130/(-156))/(3/(-18)). Suppose -4*a - i + r = 0, k*a + 2*i - 28 = 9. Calculate the remainder when 88 is divided by a. 4 Suppose 3*r - 72 = -4*g + 48, -16 = -4*r. Suppose 0 = 2*t + 4*q + 2970, -20*q + 18*q + 8 = 0. Let p = t - -1509. What is the remainder when g is divided by p? 11 Suppose -11*r + 5*r = -84. Suppose -r*g + 2279 = -325. What is the remainder when g is divided by 11? 10 Let t = 418 - 413. Let w = 28 + -19. Suppose -w*r + t*r + 28 = 0. What is the remainder when 21 is divided by r? 0 Let n = -2712 + 5765. Calculate the remainder when n is divided by 47. 45 Suppose 2*g + 5*j - 17 = 0, 3*j + 30 + 6 = g. Let t = 669 + -658. What is the remainder when g is divided by t? 10 Suppose 4*n = 157 + 107. Let b = n + -56. What is the remainder when 37 is divided by b? 7 Let x = 376 - 205. Suppose 2*y = -y + x. What is the remainder when y is divided by (10 - (-15 - -21))/(3*4/30)? 7 Let m(k) = -3*k**3 + 1. Let b be m(-1). Suppose 0 = b*c - 3*c - 238. Calculate the remainder when c is divided by (-390)/(-52)*(7 - -1). 58 Suppose 5*g = 2*l + 2*g - 36, -5*l = -2*g - 79. Suppose -l*q + 40 = -275. Calculate the remainder when 25 is divided by q. 4 Suppose -2356 = -140*r + 78*r. What is the remainder when 369 is divided by r? 27 Suppose -2*b + 3*b = 26. Let z = -40018 - -40251. What is the remainder when z is divided by b? 25 Let l = -106 + 109. Calculate the remainder when l + 0 + 4 + 672/12 is divided by 13. 11 Let i = 2 + 52. Let x = 7638 + -7530. Calculate the remainder when x is divided by i. 0 What is the remainder when 219 is divided by ((-1)/((-6)/8))/(((-22)/(-48))/11)? 27 Let j be -5 - -1 - ((-35)/7 - 4). Suppose -3*l - 39 = -2*k + 39, -j*l - 119 = -3*k. What is the remainder when k is divided by 18? 15 Suppose -n = -5*m + 245 - 170, -5*n + 3 = 2*m. Suppose -4*d + 5 = -27. Calculate the remainder when m is divided by d. 6 Let s = -11619 - -11745. What is the remainder when 374 is divided by s? 122 Let w be (-312)/((-1)/4*6). Suppose 197 = 5*u - w. Suppose -u = -5*a - 4*a. Calculate the remainder when a is divided by 4. 1 Suppose d + 46 = 4*a, -d = -a + 15 - 5. Let q = -257 + 279. Calculate the remainder when 0 + 56 - (q - 25) is divided by a. 11 Let o = 6958 + -6860. Calculate the remainder when 666 is divided by o. 78 Let h(f) = -f**3 - 56*f**2 - 95*f + 712. What is the remainder when 303 is divided by h(-54)? 3 Suppose 3*v + 0*a + a = 328, 3*v = a + 326. Suppose 12 = -v*f + 113*f. What is the remainder when -1 + ((-24)/(-1))/2 is divided by f? 2 Suppose -4*o - 323 = -3*t, -t - 3*o = -33 - 66. Suppose 12*y - 8*y = d - 40, -y - t = -5*d. Calculate the remainder when 96 is divided by d. 16 Suppose 7*j - 72*j + 187460 = 0. What is the remainder when j is divided by 111? 109 Let s(o) = -40*o + 37. Let k be s(-12). Suppose -514*j = -k*j + 1611. What is the remainder when j is divided by 10? 7 Let g = -716 + 786. What is the remainder when 299 is divided by g? 19 Let i(c) = -60*c - 282. Calculate the remainder when 4138 is divided by i(-5). 16 Suppose 3*y + 1 + 2 = 0. What is the remainder when (-7 - -6) + 7 + y is divided by ((-36)/(-36))/((-2 - -1)/(-1))? 0 Let c(z) = -11*z**2 + 1042*z - 663. Suppose -3*h + 1 = a, -5*a + 4*h + 49 = -32. Calculate the remainder when c(94) is divided by a. 11 Suppose 11*o = 3*q + 6*o - 73, -2*q + 51 = -o. What is the remainder when 1009 is divided by q? 21 Suppose -2*o + 815 = 3*o. Suppose -4*c = 2*v - 92, 5*v + 5*c - o - 72 = 0. Calculate the remainder when 575 is divided by v. 47 Suppose 1 = 4*f - 19, -m - 3*f + 89 = 0. Suppose 6306 = 108*i - 19117 - 13889. Calculate the remainder when i is divided by m. 68 Suppose 8*x + 1120 = 3*x. Let u = x + 241. Calculate the remainder when 81 is divided by u. 13 Suppose -m + 223 = 2*t, 5*t + 5*m = 10*m + 565. Calculate the remainder when 473 is divided by t. 25 Suppose -r = 185 - 89. What is the remainder when 339*8*(-4)/r is divided by 29? 26 Let h(l) = 3*l**2 + 12*l - 15. Let s(q) = 10*q**2 + 35*q - 45. Let a(v) = -8*h(v) + 3*s(v). Calculate the remainder when a(4) is divided by 41 + 0 + 0 - 1. 37 Let u(f) = -2*f**2 + 28*f - 14. Let r be u(11). Suppose -r = -12*z + 1964. Suppose 3*h = h + z. What is the remainder when h is divided by 22? 18 Let a(p) = -3*p**3 - p**2 - 8*p - 29. Suppose -2*n - 5*q = -14, -2*q = -q - 4. Suppose -2*d + 15 + 19 = 0. Calculate the remainder when a(n) is divided by d. 16 Let l be ((-742)/4 - 1)*82/(-41). Let p = -326 + l. Calculate the remainder when 1/(-1 + 2) - -184 is divided by p. 44 Let i(d) = -d**3 - 19*d**2 + 100*d + 190. What is the remainder when 892 is divided by i(-23)? 4 Let v(z) = z**3 - 20*z**2 - 27*z - 6. Let n be v(23). Suppose 31*w = w + n. What is the remainder when w is divided by 19? 13 Let g = -29 - -44. Let y be (4 - 4)*(-3)/6 + -585. Let i = y - -689. Calculate the remainder when i is divided by g. 14 Let n be (8/(-14))/(20/(-70)). Let g = 2 + n. Let r(y) = 3*y**2 + 3*y + 5. What is the remainder when r(-2) is divided by g? 3 Let x = -5626 + 5666. Calculate the remainder when 545 is divided by x. 25 Let r(j) = j**3 - 12*j**2 + 14*j + 24. Let i be r(10). Calculate the remainder when 86 is divided by (i/24)/((-3)/44). 20 Let y = 2022 + -2004. What is the remainder when 280 is divided by y? 10 Let h be -123 + (3*1)/(17 + -16). Let b = 140 + h. Let k = -2 - -9. Calculate the remainder when b is divided by k. 6 Let j = 47 - 27. Let i = j + 14. Let l(w) = w**3 - 9*w**2 - 9*w + 3. What is the remainder when i is divided by l(10)? 8 Suppose 0*l - 17*l - 3244 = -38468. What is the remainder when l is divided by 20? 12 Let c be ((-72)/3)/(1*-2). Suppose -c*u - 4 = -4. Suppose 4*t + n = 72, t + u*n - 2*n = 9. Calculate the remainder when t is divided by 4. 1 Let d = 25397 - 25383. What is the remainder when 10877 is divided by d? 13 Let r(p) = -23*p - p**2 + 14*p + 7*p + 12 + 10*p. Suppose 6 + 40 = y. Calculate the remainder when y is divided by r(8). 10 Let b = -89 + 129. Suppose 4*r - b = 28. Let k(l) = 2*l - 7. What is the remainder when 93 is divided by k(r)? 12 Let v(i) = 3*i**2 + 159*i - 148. Suppose -m = -48 + 24. What is the remainder when m is divided by v(-54)? 10 Let h = -93 - 33. Let j = -118 - h. What is the remainder when 95*(2/5 + 0) is divided by j? 6 Let f(q) = q**2 + 12*q. Let h(r) = 2*r**2 + 10*r - 14. Let n = 0 + -12. What is the remainder when h(n) is divided by f(-13)? 11 Calculate the remainder when 458 is divided by ((-20)/(-80))/((1 - (-20)/(-28))/8). 3 Suppose -4*x = -5*h + 198, 2*h + 3*x + 0 = 70. Calculate the remainder when 353 is divided by h. 11 Let g(j) = -j**2 + 127*j - 475. What is the remainder when 3052 is divided by g(4)? 9 Let h(m) = 132*m + 4700. What is the remainder when h(56) is divided by 87? 86 Suppose -23 = -l + 285*k - 282*k, 2*l - 5*k - 50 = 0. What is the remainder when 271 is divided by l? 26 Let a(v) = 32*v - 197. Let n be a(6). Let m(p) = 2*p**2 + 17*p + 44. Calculate the remainder when 25 is divided by m(n). 7 Let j(k) = 96*k + 2426. Let a = -82 - -118. Suppose 4*p = 92 - a. Calculate the remainder when j(-25) is divided by p. 12 What is the remainder when 490 is divided by -3*(-419)/5 - (3294/135 + -24)? 239 Suppose 6*j = -318 + 1812. Let c = 2651 - 2623. What is the remainder when j is divided by c? 25 Calculate the remainde
{ "pile_set_name": "DM Mathematics" }
ssuming u is positive. u**(-1482560/2457) Simplify ((v**(-2/55)/(v*v*v**(-1/15)/v))**(-17))**42 assuming v is positive. v**(7616/11) Simplify (r*(r**1/r)/r*r/(r/r**1*r)*r/(r**(-10)*r)*(r/(r/r**(-14)*r))/r)**(6/17) assuming r is positive. r**(-36/17) Simplify ((v**(1/4)*v)/v)**(28/9)/((v/v**(-8))/(v*(v/(v/v**(1/7))*v)/v*v))*(v**(-2))**36*(v*v**(-1))**(-25) assuming v is positive. v**(-4919/63) Simplify (t**0)**(-6)/(t**(-5)*t/t**(-2/9))*(t*t**(1/3)*t)**(5/14)*(t**(-1/2)*t*t)**(2/21) assuming t is positive. t**(599/126) Simplify ((l/(l*l**(-2/13)/l*l))**11/(l**(-22))**(-13))**(48/5) assuming l is positive. l**(-177408/65) Simplify (((j/j**(4/13))/(j*j**(1/2)*j))/(j**(1/2))**21)**(-16) assuming j is positive. j**(2560/13) Simplify ((z**(-1/3)*z)**30)**(-42)*(z**(-2/9)/(z/(z/((z/z**(-3/4))/z*z))))**0 assuming z is positive. z**(-840) Simplify ((((q*q*(q*q**(-2/5))/q)/(q/(q/q**3)*q*q))/(q**(-2)/(q*q**(-1)/q)))**(20/7))**(1/8) assuming q is positive. q**(-6/7) Simplify ((t**4/t)**(-1/42)/((t*(t**(-5)/t)/t)/(t*(t/t**8)/t)))**(18/5) assuming t is positive. t**(-27/7) Simplify ((f/f**(-1/7))**(-2/21))**12/((f*f**(-1/11))/f*(f/((f*f**(-10))/f))/f)**25 assuming f is positive. f**(-134229/539) Simplify (w/(w**(-16)*w*w)*w**(-19))/(w/w**(2/21))**(-41) assuming w is positive. w**(695/21) Simplify ((l*l*(l**(-2/3)/l)/l)/l**(-2/25))**16/(l**3/l**(-3/7))**(17/2) assuming l is positive. l**(-20228/525) Simplify (((o**(1/7)*o/(o**4/o)*o*o)/(o/o**(-2/3)*o**(1/4)))**(-17))**(1/24) assuming o is positive. o**(2533/2016) Simplify ((t**(1/6)/(t*t**1*t*t))/(t**(1/4))**(-2/19))/((t/((t*t**(2/13)*t)/t)*t)**(-13))**(34/7) assuming t is positive. t**(19799/399) Simplify ((v**(-6)/v**(1/7))/(v*v/((v/v**(-3)*v)/v*v)*v**(1/3)))/((v**(-1))**(2/11)*(v/v**(-1))**(-8/7)) assuming v is positive. v**(-233/231) Simplify (((i/(i/(i/(i**(-8)/i))))/i)/(i/(i*i**(-3))*i))/(i**(-1/8)/i*i*i/(i/(i/(i**(-4/7)/i))))*((i**(-2/31)*i)/(i**13/i))**(-19) assuming i is positive. i**(369385/1736) Simplify (y*y**(-1/3)*y*y**(-1/3))**26*((y/y**0)**(39/2))**(-11/3) assuming y is positive. y**(-221/6) Simplify (w**(-2/27)/(w*w/w**19)*w*w**(-12)*w**(-3/10))**(40/3) assuming w is positive. w**(6076/81) Simplify ((u/(u*u**(-20)*u))/((u*u/u**5)/u)*u*u**(-1)*u*u/(((((u/(u*u*u**(-1/10)*u))/u*u*u*u)/u)/u)/u))**(-2/5) assuming u is positive. u**(-279/25) Simplify (((a/a**(-2/7))**30*(a/(a/(a**9*a)*a))/((a**8*a)/a))**(-18))**(5/7) assuming a is positive. a**(-24930/49) Simplify ((g*(g*g**(-2)/g)/g)/g**(-2))/((g*g**7/g*g)/g*g**(-1/3))*(g**(-2/3))**(-15/4)*((g/((g/(g**(-2/11)/g))/g*g))/g)/g**(-3/8) assuming g is positive. g**(-1577/264) Simplify (((i**7*i)/i)/(i**(-2/13)/i))**(2/29)/((i*i/i**(2/11))**(-38)/(i**0/i*i)**14) assuming i is positive. i**(288852/4147) Simplify (h**1)**(-46)/(h**(1/3))**(-13/3)*((h**1/h)/h)**(-4)/(((((h/(h**(-1)*h))/h)/h)/h)/h)**(-5/3) assuming h is positive. h**(-410/9) Simplify (t**(-1/2)/(t**(3/7)/t))**14/((t/t**(3/4)*t*t*t*t/(t**6/t))/((t/(t**(-2)*t))/((t/(t/((t/(t**(-7)/t))/t)))/t))) assuming t is positive. t**(-13/4) Simplify (y**5/y**(2/5))**(7/4)*y**(4/5)/(y/(y**(-1/2)*y)*y*y)*y/y**(3/5)*y*y*y*y**1*y*y*y assuming y is positive. y**(55/4) Simplify (((r*r**(1/18))/r*r**(4/9)*r*(r**(5/4)/r)/r*r*r**(-2/7)*r)**(4/11))**(-9/8) assuming r is positive. r**(-621/616) Simplify (t/(t*t**(-39)))/t*(t/t**24)/t*t/(t/t**24)*t**(-32)/t assuming t is positive. t**5 Simplify (y/y**(-23)*y)**20/(y**(-2/9)/(y**(-1)/y)) assuming y is positive. y**(4484/9) Simplify ((w*w**6)/(w/(w*w**7/w)))**25/(w**(1/10)/w**(3/8)*(w*w**6/w)/w**(-5)) assuming w is positive. w**(12571/40) Simplify ((q**2)**(26/3))**50*((q**(2/3)*q*q*q)/(q*q/((q*q*q/(q**(-3/7)*q))/q)))**(-3) assuming q is positive. q**(18005/21) Simplify (a**1)**9/((a*a**(-1/2))/(a*a/(a/(a**(-2)*a)*a)*a))*a*a/a**(-5)*a*a**(-1/2)*(a*(a*a*a/a**3*a*a*a)/a)/(a*a/a**(-4/9)*a) assuming a is positive. a**(140/9) Simplify ((((s*s/(s*s**(4/7)))/((s*s*s**(-6))/s))**8)**(-3/10))**7 assuming s is positive. s**(-456/5) Simplify ((((v/v**(-7))/v**(-28))**(2/57))**(-8))**(5/9) assuming v is positive. v**(-320/57) Simplify (b**(-2/3)*b)**(-2/21)*(b**1*b)**(-15/7)*b**(-3)/(b*b**(-5/6))*b*b**(-3)/b*b**3/b assuming b is positive. b**(-1069/126) Simplify (p**(2/3)*p**2)/(p/p**0*p)**(-4/5)*(p**(3/4)*p)/(p*p*p**(1/2))*p*p/((p*p**(2/9))/p)*p**1 assuming p is positive. p**(1133/180) Simplify ((((i**(-3/7))**(1/31))**(3/29))**(1/11))**(-44) assuming i is positive. i**(36/6293) Simplify (w**0*w/(w**(-1/7)*w))**(-9)/((w*w*(w**(2/21)*w)/w*w**(-1/5))/(((w/w**(-4))/w)/(w*w**(-2/11)*w))) assuming w is positive. w**(-1154/1155) Simplify ((s**(-2/23)*s)/(s/(s**(-1/2)*s)))/((s*s/s**(1/2)*s)/(s/((s**(-2/63)/s)/s*s))) assuming s is positive. s**(-80/1449) Simplify ((w*w*w**(3/4))**(-4/7))**(-30)/((w/w**3*w)/w*w**(2/13))**(-2) assuming w is positive. w**(3954/91) Simplify (((m/m**(1/3)*m)/m*m)**(-7)*m/(m**(2/7)/m)*m*m**(-2))/(m/(m*((m**(-4)*m)/m)/m)*m**2*m)**(1/15) assuming m is positive. m**(-402/35) Simplify ((t*t**4*t*(t/t**(1/4))/t)/((t**(-1/2)*t)/(t**(-3/5)/t)))/((t**(2/11)/(t**(-5/6)/t))/(t**0*t*t)**(2/19)) assuming t is positive. t**(23141/12540) Simplify ((h/(h**1*h))/(((h/(h*h**(-5)*h*h))/h)/h))**31/((h*h**(-1)*h**0)/(((h*h*h*h*h**(-4/5))/h)/h**(-3/4))) assuming h is positive. h**(-1181/20) Simplify ((((d/(d/(d**(-7)/d)))/(d*d/d**0))/(d**(-1/9)/d**(-1/3)))**(2/29))**(-18) assuming d is positive. d**(368/29) Simplify (((k*k/(k**(2/5)*k))/k)**(-17))**(-13/6)/((k/k**0*k*k*k)**(6/37))**5 assuming k is positive. k**(-9977/555) Simplify (((k/(k**(2/73)*k))/(k/(k*k**(7/10))))/(k*k*k/(k/k**(-16/5))*k*k**(-2/23)))**(-39) assuming k is positive. k**(-628329/16790) Simplify ((a*((a**(-2/11)/a)/a)/a)/a**1)**39*((a**(1/4))**42)**15 assuming a is positive. a**(735/22) Simplify ((f/(f/(f*f**(-2/9)*f*f))*f**(1/16)/f)/(f**(-27)*f**(-13)))**(1/6) assuming f is positive. f**(6025/864) Simplify ((l/l**(-9/2))/(l**17*l)*((l**1/l)/l*l)**(2/15))**(-32) assuming l is positive. l**400 Simplify ((n/n**(-4))/(n/(n/(n/((n/(n*n/n**(-4))*n)/n)))))/((n/n**5)/(n/n**4))*(n*n**1/n*n**(-1/4)*n)/(n**(-2/5))**(-30) assuming n is positive. n**(-41/4) Simplify ((p*p/(p/(p*p**(-3/2)))*(p**(-2/35)*p)/p)/(p*p**16)**20)**28 assuming p is positive. p**(-47538/5) Simplify ((w**(-5/4)/w**(-2))/(w**(-1))**(2/17))/((w*w**(1/2))/((w*w*(w*w*w**(-1/4)/w)/w*w)/w))**(-7) assuming w is positive. w**(-15/17) Simplify u**(2/17)*u*u**(1/5)*u**(-6)*u*u**3*((u**2)**(-21))**(-7/2) assuming u is positive. u**(12437/85) Simplify ((u*u**(3/11))**(2/9)/(u**(-26)*u*u**(-1/12)/u))**(18/7) assuming u is positive. u**(10441/154) Simplify (f/((f/f**(16/7))/f))/(f/((f*f*f*f**8)/f))*(f/(((f*f/(f**(-9/8)/f*f))/f)/f))**(1/28) assuming f is positive. f**(393/32) Simplify (c**(-1/4)/c**7)**(-38)*(c**(-1/6)/(c**(-4)/c))**(10/3) assuming c is positive. c**(5249/18) Simplify (((m*m*m**10*m*m*m)/m)/(m/m**(-2)))**20/((m*m*m*m*m/(m*m*((m/m**4)/m)/m*m)*m*m**(4/7))/(m/m**(2/7)*m/(m/(m/m**(-2/15))*m*m))) assuming m is positive. m**(22184/105) Simplify ((((o**(2/7)*o*o)/o)**(-1/26)*(o/o**(-7))/(o/o**(-1/3)))**(-5))**15 assuming o is positive. o**(-90325/182) Simplify ((((f**4*f)/f)/(f/(f/(f/(f/(f**(-6/13)/f)*f)))*f))/((f**9/f)/(f*f**(-1/12))))**(-24/5) assuming f is positive. f**(506/65) Simplify (j/(j*j/(j*(j**(-1)*j)/j*j)))/((j**(-5/6)*j*j)/j)*(j*j/j**0)**(-15)*j/(j/j**3)*j**(-2/5)*(j*j**(2/9)*j*j)/(j**(-2/7)*j) assuming j is positive. j**(-15787/630) Simplify ((j**(-1/3))**27)**(-2/39)*((j/j**(-1/4))/j)**41*(j/(j**(-1/2)*j))/j*(j/j**5)/j assuming j is positive. j**(271/52) Simplify (m**(-1/4)/(m**(-14)*m))**38/((m**(-1/3))**(3/13)/((m/((m*m**(-3)*m*m)/m*m))/(m/(m/(m**(-2/21)/m))*m))) assuming m is positive. m**(265177/546) Simplify (x*x**(-1))/(x*x**(-6))*x/(((x/(x/(x**0*x)))/x)/x)*x**(-2/9)*x*x*x**(2/15)*x*x*(x**3*x)/x*(x/x**0)**(-13) assuming x is positive. x**(41/45) Simplify ((z**(-1/5)/z)/z*z**(-1)/z)**18/(z/((z/(z/(z/(z/((z/(z**(2/7)/z))/z)))))/z)*z**(3/8))**34 assuming z is positive. z**(-18489/140) Simplify ((m**4)**(-1/13)*m**(-2/17)/m**1)**(1/26) assuming m is positive. m**(-315/5746) Simplify (((l*l**(-2/41)*l*l*l**9*l)/((l**3/l)/(l/l**(-4/9))))**(-47))**(-27) assuming l is positive. l**(644934/41) Simplify (((s**(-1))**(10/19)/((s*(s/(s*(s*s*s
{ "pile_set_name": "DM Mathematics" }
7. (m - 1)*(m + 1024)/7 Factor -2*n**3/7 - 32*n**2/7 - 118*n/7 - 88/7. -2*(n + 1)*(n + 4)*(n + 11)/7 Let -5*h**3 - 20*h**2 + 180*h + 720 = 0. Calculate h. -6, -4, 6 Let 2*p**3/5 + 2*p**2 - 52*p/5 - 48 = 0. What is p? -6, -4, 5 Factor -4*g**4 - 71*g**3 + 101*g**2 + 114*g. -g*(g - 2)*(g + 19)*(4*g + 3) Factor -g**2/2 - 343*g - 117649/2. -(g + 343)**2/2 Suppose 4*y**4/9 + 268*y**3/9 - 184*y**2/3 = 0. What is y? -69, 0, 2 Factor 4*p**4 - 264*p**3 + 5808*p**2 - 42592*p. 4*p*(p - 22)**3 Factor -u**4/6 - 8*u**3/3 + u**2/6 + 8*u/3. -u*(u - 1)*(u + 1)*(u + 16)/6 Determine n, given that -3*n**4/2 + 17*n**3/4 - 4*n**2 + 5*n/4 = 0. 0, 5/6, 1 Solve -2*k**4 - 128*k**3 - 2876*k**2 - 26496*k - 85698 = 0. -23, -9 Solve 17*v**3 - 50*v**2 - 3*v = 0 for v. -1/17, 0, 3 Determine q, given that q**2 - 12*q + 32 = 0. 4, 8 Let 3*f**3/5 + 30*f**2 + 849*f/5 - 2322/5 = 0. What is f? -43, -9, 2 Suppose -2*w**4 + 2*w**3 + 50*w**2 - 50*w = 0. Calculate w. -5, 0, 1, 5 Factor -2*s**3/17 - 10*s**2 - 496*s/17 - 328/17. -2*(s + 1)*(s + 2)*(s + 82)/17 Factor -2*p**2/3 + 38*p - 1144/3. -2*(p - 44)*(p - 13)/3 Find t, given that -t**3/9 + 7*t**2/9 + 10*t/9 - 16/9 = 0. -2, 1, 8 Factor -549*h**2/4 + 189*h/4 - 1/2. -(3*h - 1)*(183*h - 2)/4 Factor 3*d**2 + 1341*d - 1344. 3*(d - 1)*(d + 448) Suppose 3*m**4/8 - 15*m**3/2 + 159*m**2/4 - 153*m/2 + 351/8 = 0. What is m? 1, 3, 13 Solve 2*a**5 + 96*a**4 - 200*a**3 + 4*a**2 + 198*a - 100 = 0 for a. -50, -1, 1 Factor 50*v**4/21 + 80*v**3/21 - 38*v**2/21 + 4*v/21. 2*v*(v + 2)*(5*v - 1)**2/21 Solve 2*w**2/7 + 3772*w + 12449486 = 0. -6601 Factor -35*c**5 - 75*c**4 - 45*c**3 - 5*c**2. -5*c**2*(c + 1)**2*(7*c + 1) Let 3*x**3 + 174*x**2 - 1785*x + 1608 = 0. What is x? -67, 1, 8 Factor 5*l**2 + 73*l + 42. (l + 14)*(5*l + 3) Suppose 3*h**2 - 15*h - 150 = 0. What is h? -5, 10 Find c, given that -2*c**2/11 - 42*c/11 - 40/11 = 0. -20, -1 Solve 3*p**2/5 + 324*p/5 - 3927/5 = 0 for p. -119, 11 Determine o so that o**4 - 53*o**3 + 870*o**2 - 3916*o - 4840 = 0. -1, 10, 22 What is y in -2*y**4 + 8*y**3 - 10*y**2 + 4*y = 0? 0, 1, 2 Factor k**5 - 2*k**4 - 4*k**3 + 2*k**2 + 3*k. k*(k - 3)*(k - 1)*(k + 1)**2 Determine g, given that -5*g**5 + 80*g**4 - 190*g**3 - 80*g**2 + 195*g = 0. -1, 0, 1, 3, 13 Factor 7*o**2 + 194*o - 56. (o + 28)*(7*o - 2) Factor -3*o**3/5 - 104*o**2/5 - 167*o/5 - 66/5. -(o + 1)*(o + 33)*(3*o + 2)/5 Factor d**4 + 3*d**3 - 6*d**2 - 8*d. d*(d - 2)*(d + 1)*(d + 4) Let x**5/2 - x**3/2 = 0. What is x? -1, 0, 1 Solve -2*i**5/9 + 20*i**4/9 - 28*i**3/9 - 176*i**2/9 + 122*i/3 - 20 = 0 for i. -3, 1, 5, 6 Solve 99*z**2 + 888*z - 27 = 0. -9, 1/33 Let u**3 - 38*u**2 + 320*u + 800 = 0. What is u? -2, 20 Determine d so that -3*d**5 + 21*d**4 - 27*d**3 - 21*d**2 + 30*d = 0. -1, 0, 1, 2, 5 Solve -3*r**3 - 27*r**2 + 102*r - 72 = 0. -12, 1, 2 Determine y so that 2*y**3 + 5354*y**2 + 3585840*y + 3580488 = 0. -1338, -1 Suppose -r**3/9 + 38*r**2/9 + 13*r/3 = 0. What is r? -1, 0, 39 Determine n, given that -3*n**2 + 2274*n - 430923 = 0. 379 Determine l so that 2*l**5/13 - 2*l**4/13 - 10*l**3/13 + 10*l**2/13 + 8*l/13 - 8/13 = 0. -2, -1, 1, 2 Let 3*i**3 - 30*i**2 - 117*i = 0. Calculate i. -3, 0, 13 Factor 2*t**2 - 520*t - 522. 2*(t - 261)*(t + 1) Find r, given that -4*r**4 + 68*r**3 - 252*r**2 - 324*r = 0. -1, 0, 9 Solve 4*s**2 - 13328*s + 11102224 = 0. 1666 Let -3*j**4/5 + 1458*j**3/5 = 0. Calculate j. 0, 486 Solve 20*b**3 - 225*b**2 + 535*b - 330 = 0. 1, 2, 33/4 Factor 290*o**4/3 + 1161*o**3/2 + 1163*o**2 + 2338*o/3 + 4. (o + 2)**3*(580*o + 3)/6 Determine a, given that -4*a**2/5 + 23568*a/5 - 23564/5 = 0. 1, 5891 Factor i**2/4 + 45*i/2 - 91/4. (i - 1)*(i + 91)/4 Factor -n**2/5 + 92*n/5 + 93/5. -(n - 93)*(n + 1)/5 Factor n**2/6 + n/2 - 3. (n - 3)*(n + 6)/6 Factor -3*a**2 - 75*a - 252. -3*(a + 4)*(a + 21) Solve -4*s**2/5 + 432*s - 58320 = 0. 270 What is k in 2*k**3 - 184*k**2 + 3162*k + 52020 = 0? -10, 51 Factor -4*m**2 + 992*m - 988. -4*(m - 247)*(m - 1) Let 3*l**5/4 - 63*l**4/4 + 225*l**3/2 - 312*l**2 + 288*l = 0. What is l? 0, 2, 3, 8 Factor -i**4/3 + 16*i**3/3 + 41*i**2/3 - 328*i - 336. -(i - 12)**2*(i + 1)*(i + 7)/3 Find m such that m**3/2 - 5*m**2/6 - m/3 = 0. -1/3, 0, 2 Solve -195*g**2/2 - 77*g/2 + 12 = 0 for g. -3/5, 8/39 Factor 3*a**3/2 - 99*a**2/2 + 93*a. 3*a*(a - 31)*(a - 2)/2 Factor 5*c**3 + 550*c**2 + 545*c. 5*c*(c + 1)*(c + 109) Factor -2*a**4/5 - 4*a**3 + 46*a**2/5 - 24*a/5. -2*a*(a - 1)**2*(a + 12)/5 Factor 3*m**5 - 33*m**4 + 54*m**3. 3*m**3*(m - 9)*(m - 2) Suppose -h**3/6 - 367*h**2/6 = 0. What is h? -367, 0 Factor -3*y**3 + 69*y**2 - 354*y + 288. -3*(y - 16)*(y - 6)*(y - 1) Suppose 4*z**3 + 124*z**2 + 896*z - 1024 = 0. Calculate z. -16, 1 Factor -3*f**4/5 + 21*f**3/5 - 33*f**2/5 + 3*f. -3*f*(f - 5)*(f - 1)**2/5 Find q such that 28*q**3 + 188*q**2 + 112*q - 48 = 0. -6, -1, 2/7 Suppose -f**4/10 - f**3/2 + 47*f**2/10 + 21*f/2 + 27/5 = 0. What is f? -9, -1, 6 Factor 5*f**5 + 40*f**4 + 120*f**3 + 170*f**2 + 115*f + 30. 5*(f + 1)**3*(f + 2)*(f + 3) Let -j**4 + 3*j**3 + 19*j**2 - 87*j + 90 = 0. What is j? -5, 2, 3 Let 3*f**4 - 27*f**3 + 33*f**2 + 63*f = 0. What is f? -1, 0, 3, 7 Factor 5*d**3 + 85*d**2 - 3685*d + 23595. 5*(d - 11)**2*(d + 39) Factor -3*g**3/2 + 51*g**2 - 96*g. -3*g*(g - 32)*(g - 2)/2 Factor -g**2/5 - 39*g/5. -g*(g + 39)/5 Factor 3*n**4 - 39*n**3 + 174*n**2 - 324*n + 216. 3*(n - 6)*(n - 3)*(n - 2)**2 Determine n, given that 2*n**4/15 + 86*n**3/15 - 466*n**2/15 + 222*n/5 - 96/5 = 0. -48, 1, 3 Solve 3*m**4 + 294*m**3 + 261*m**2 - 2886*m + 2328 = 0. -97, -4, 1, 2 Factor 5*c**2 - 145*c - 150. 5*(c - 30)*(c + 1) Factor 3*a**5/2 - 9*a**4/2 - 15*a**3 - 3*a**2 + 27*a/2 + 15/2. 3*(a - 5)*(a - 1)*(a + 1)**3/2 Suppose -4*b**4/5 - 18*b**3/5 + 34*b**2/5 - 12*b/5 = 0. What is b? -6, 0, 1/2, 1 Solve -5*q**4 + 10*q**3 + 55*q**2 - 60*q - 180 = 0. -2, 3 Solve -2*z**2/5 + 9*z/5 - 4/5 = 0. 1/2, 4 Factor 2*y**5/7 - 6*y**4/7 - 2*y**3/7 + 22*y**2/7 - 24*y/7 + 8/7. 2*(y - 2)*(y - 1)**3*(y + 2)/7 Let 2*r**4/3 - 2*r**3/3 - 2*r**2 + 10*r/3 - 4/3 = 0. What is r? -2, 1 Solve -65*k**4 + 45*k**3 + 20*k**2 = 0 for k. -4/13, 0, 1 Factor -2*g**2/13 + 1444*g/13 - 260642/13. -2*(g - 361)**2/13 Factor 7*i**2/5 - 8*i - 12/5. (i - 6)*(7*i + 2)/5 Factor 4*n**3 + 20*n**2 + 32*n + 16. 4*(n + 1)*(n + 2)**2 Determine w, given that 81*w**5 + 1035*w**4 + 3051*w**3 + 2717*w**2 + 368*w - 252 = 0. -9, -7/3, -1, -2/3, 2/9 Factor -3*p**2 - 573*p + 1158. -3*(p - 2)*(p + 193) Let i**3 - 31*i**2 - 102*i = 0. Calculate i. -3, 0, 34 Factor d**5 + 7*d**4 + 18*d**3 + 22*d**2 + 13*d + 3. (d + 1)**4*(d + 3) Factor m**4 - 20*m**3 + 132*m**2 - 320*m + 256. (m - 8)**2*(m - 2)**2 Suppose -3*a**4 - 48*a**3 - 81*a**2 + 48*a + 84 = 0. Calculate a. -14, -2, -1, 1 Suppose 2*s**2/7 - 26248*s/7 + 86119688/7 = 0. What is s? 6562 Determine k, given that k**3/3 - 22*k**2/3 + 16*k/3 + 160 = 0. -4, 6, 20 Find s, given that -s**3/6 - 19*s**2/6 - 11*s + 36 = 0. -12, -9, 2 Solve v**4/2 + 8*v**3 - 17*v**2/2 = 0. -17, 0, 1 Factor -2*j**2/19 + 614*j/19 + 616/19. -2*(j - 308)*(j + 1)/19 Determine l, given that -4*l**4/9 - 8*l**3/9 + 44*l**2/9 + 16*l/3 - 16 = 0. -3, 2 Factor 2*s**2 - 1182*s + 1180. 2*(s - 590)*(s - 1) Factor 4*d**2/7 + 1784*d/7 - 1788/7. 4*(d - 1)*(d + 447)/7 Let -u**2/3 + 2392*u - 4291248 = 0. Calculate u. 3588 Factor -g**2/3 - 1600*g/3 + 1601/3. -(g - 1)*(g + 1601)/3 Determine m, given that 62*m**5/3 - 16*m**4/3 - 62*m**3/3 + 16*m**2/3 = 0. -1, 0, 8/31, 1 Factor -4*i**3 + 576*i**2 - 2256*i + 2240. -4*(i - 140)*(i - 2)**2 What is h in -5*h**2 + 19060*h - 18164180 = 0? 1906 Factor -2*u**2/9 - 16*u - 288. -2*(u + 36)**2/9 Factor 3*k**3/5 + 41*k**2/5 - 59*k/5 + 3. (k - 1)*(k + 15)*(3*k - 1)/5 Factor 3*d**3 - 342*d**2 + 321*d + 2034. 3*(d - 113)*(d - 3)*(d + 2) Factor x**4/4 - x**3/2 - 3*x**2/4. x**2*(x - 3)*(x + 1)/4 What is d in d**3 - 26*d**2 + 128*d - 160 = 0? 2, 4, 20 Determine l, given that 8*l**5 - 4*l**4 - 24*l**3 + 28*l**2 - 8*l = 0. -2, 0, 1/2, 1 Determine f, given that -127*f**2/9 + 509*f/9 - 4/9 = 0. 1/127, 4 Factor -v**3/10 - 113*v**2/5 - 1254*v + 12996/5. -(v - 2)*(v + 114)**2/10 Let -s**2/3 + 9814*s/3 - 24078649/3 = 0. What is s? 4907 Suppose 4*q**2 + 144*q - 148 = 0. Calculate q. -37, 1 Factor -2*w**2/3 + 848*w/9 + 568/9. -2*(w - 142)*(3*w + 2)/9 Factor -f**5 - 2*f**4 + 48*f**3 + 130*f**2 -
{ "pile_set_name": "DM Mathematics" }
442, 29395444? 29395446 What comes next: 247, 2214, 5465, 9994, 15795, 22862? 31189 What comes next: 31692064, 31692060, 31692054, 31692046, 31692036? 31692024 What comes next: 42863, 42952, 43113, 43364, 43723, 44208? 44837 What comes next: -224517, -224526, -224537, -224550, -224565? -224582 What comes next: -11288324, -11288380, -11288436, -11288492, -11288548, -11288604? -11288660 What is next in -8516389, -8516393, -8516397, -8516401, -8516405, -8516409? -8516413 What comes next: -106402, -214062, -322982, -433162, -544602? -657302 What is next in 14391, 14350, 14295, 14220, 14119, 13986, 13815, 13600? 13335 What is next in 2918249, 11673058, 26264407, 46692296, 72956725? 105057694 What is the next term in 14156, 28265, 42374, 56483, 70592? 84701 What is the next term in 3274666, 3274671, 3274676? 3274681 What comes next: 427018648, 427018646, 427018644, 427018642, 427018640, 427018638? 427018636 What comes next: 19013103, 38026196, 57039289, 76052382? 95065475 What is next in -9616, -76982, -259826, -615886, -1202900, -2078606? -3300742 What is next in 365489326, 365489327, 365489328, 365489329, 365489330? 365489331 What is the next term in 29961787, 29961801, 29961813, 29961823, 29961831, 29961837? 29961841 What comes next: -302, -1445, -3404, -6179, -9770, -14177, -19400? -25439 What is the next term in 2942, 14358, 33372, 59972, 94146? 135882 What is the next term in 513, 2625, 6157, 11109, 17481, 25273? 34485 What comes next: 4144, 18298, 42464, 76642, 120832, 175034, 239248? 313474 What is the next term in -719990, -716787, -708090, -691151, -663222, -621555, -563402? -486015 What is the next term in -137600, -275057, -412514? -549971 What is next in -205849, -411681, -617513? -823345 What comes next: -27955, -30555, -33161, -35773, -38391, -41015, -43645? -46281 What is the next term in 24247, 24237, 24229, 24229, 24243, 24277? 24337 What comes next: -4370, -8839, -13402, -18059, -22810? -27655 What comes next: -1961, -1652, -1249, -746, -137, 584? 1423 What comes next: -94614143, -378456578, -851527305, -1513826324, -2365353635? -3406109238 What comes next: 425, 312, 107, -190, -579? -1060 What comes next: 33194, 66445, 99738, 133073, 166450? 199869 What comes next: 13564640, 27129280, 40693920, 54258560? 67823200 What is the next term in -324024583, -324024586, -324024589? -324024592 What comes next: 4611, 9241, 13905, 18597, 23311, 28041, 32781, 37525? 42267 What is the next term in 8208568, 16417136, 24625704? 32834272 What is next in 79658, 316305, 710704, 1262861, 1972782, 2840473, 3865940? 5049189 What is next in 197372, 195158, 192944, 190730, 188516, 186302? 184088 What is the next term in 489775, 489773, 489771, 489769, 489767, 489765? 489763 What is next in -44973, -179790, -404473, -719028, -1123461, -1617778, -2201985, -2876088? -3640093 What comes next: -4670, -9393, -14120, -18851, -23586? -28325 What is the next term in -142, -511, -1116, -1951, -3010, -4287? -5776 What is next in -341642903, -341642902, -341642903, -341642906, -341642911, -341642918? -341642927 What comes next: -34537, -33176, -31815? -30454 What is the next term in -67531, -136067, -205587, -276097, -347603, -420111, -493627? -568157 What comes next: 1746, 7042, 15896, 28320, 44326, 63926? 87132 What is the next term in 8001145, 8001172, 8001199? 8001226 What is next in -1407, -3544, -5659, -7740, -9775, -11752, -13659? -15484 What is the next term in -2349, 618, 5563, 12486, 21387? 32266 What is the next term in 6886, 15323, 23760, 32197? 40634 What comes next: -4219304, -4219415, -4219710, -4220279, -4221212, -4222599, -4224530? -4227095 What comes next: -423397540, -846795079, -1270192618, -1693590157? -2116987696 What comes next: -39734, -39474, -39228, -39002, -38802, -38634? -38504 What comes next: -1052798, -2105746, -3158694, -4211642, -5264590, -6317538? -7370486 What is the next term in -615142, -1230299, -1845456, -2460613? -3075770 What is next in 4363, 8820, 13257, 17674, 22071, 26448? 30805 What is the next term in -2727, -6622, -11683, -17916, -25327? -33922 What is the next term in 30793, 62095, 93403, 124717, 156037, 187363, 218695? 250033 What comes next: 165, 482, 1027, 1836, 2945, 4390, 6207? 8432 What is next in 1976274, 1976281, 1976294, 1976313? 1976338 What is next in -1118711, -2237244, -3355777, -4474310, -5592843? -6711376 What comes next: -4338, -9980, -15882, -22044? -28466 What comes next: 5354, 7057, 9894, 13865? 18970 What comes next: -650013377, -650013377, -650013375, -650013371, -650013365, -650013357, -650013347? -650013335 What comes next: 1945, 1094, -1211, -5696, -13087, -24110, -39491, -59956? -86231 What comes next: 34802, 34670, 34412, 33998, 33398, 32582? 31520 What is next in 142176, 568776, 1279814, 2275320, 3555324? 5119856 What is the next term in -13192147, -13192121, -13192095, -13192069? -13192043 What comes next: -53885, -54324, -54761, -55196, -55629, -56060? -56489 What is next in -325171, -325139, -325081, -324997, -324887, -324751? -324589 What comes next: -73, -221, -573, -1231, -2297, -3873, -6061, -8963? -12681 What comes next: 823, 1758, 2743, 3772, 4839, 5938? 7063 What is next in -4802, -8977, -13152, -17327? -21502 What is next in -12073366, -24146751, -36220136, -48293521? -60366906 What comes next: -94743, -94761, -94793, -94839, -94899, -94973? -95061 What is the next term in -4011437, -8022864, -12034289, -16045712, -20057133, -24068552? -28079969 What is next in 25030784, 100123142, 225277072, 400492574, 625769648, 901108294? 1226508512 What comes next: 687, 2716, 6339, 11754, 19159? 28752 What is the next term in -76903, -153853, -230843, -307873, -384943? -462053 What is next in -2376, -583, 1210, 3003, 4796, 6589? 8382 What is next in -3461462, -13845861, -31153198, -55383473, -86536686? -124612837 What is next in -413, -6262, -12109, -17954, -23797, -29638, -35477? -41314 What is the next term in 3733250, 3733240, 3733230, 3733220? 3733210 What is next in -19723, -39264, -58793, -78304, -97791, -117248, -136669, -156048? -175379 What is next in 3637442, 3637485, 3637528, 3637571, 3637614, 3637657? 3637700 What comes next: -2551, -2652, -2755, -2860, -2967? -3076 What comes next: 503720, 1007535, 1511446, 2015453, 2519556? 3023755 What is the next term in -198768, -397551, -596348, -795165, -994008, -1192883, -1391796, -1590753? -1789760 What comes next: 64114, 128070, 192004, 255910, 319782, 383614, 447400? 511134 What comes next: -532, -2826, -6882, -12706, -20304? -29682 What is the next term in -4377, -8723, -13093, -17481, -21881, -26287, -30693, -35093? -39481 What is the next term in -51187, -48048, -44893, -41716, -38511? -35272 What is next in 67, 494, 1567, 3604, 6923, 11842, 18679, 27752? 39379 What is next in 179, 165, -5, -409, -1125, -2231? -3805 What comes next: 643782, 1287529, 1931276, 2575023, 3218770? 3862517 What is the next term in -6937, -5770, -3823, -1096, 2411? 6698 What is next in 848, 4742, 8638, 12536, 16436? 20338 What is next in 545412, 1090813, 1636204, 2181585, 2726956, 3272317? 3817668 What comes next: -545924, -1091847, -1637770, -2183693, -2729616? -3275539 What is the next term in -7005, -10161, -13311, -16455, -19593? -22725 What is the next term in 152860, 305665, 458338, 610813, 763024, 914905, 1066390? 1217413 What is next in -132, -3577, -13644, -33645, -66892, -116697? -186372 What is the next term in -6454597, -12909196, -19363795, -25818394? -32272993 What is the next term in -81249, -81492, -81735, -81978? -82221 What comes next: -32623, -43197, -53771? -64345 What comes next: -16085, -32139, -48193, -64247, -80301? -96355 What is the next term in 38246, 75828, 113410, 150992, 188574? 226156 What comes next: -50930, -102717, -154504? -206291 What is next in 746677, 746540, 746311, 745990, 745577? 745072 What is the next term in -41216, -164934, -371116, -659732, -1030752, -1484146, -2019884? -2637936 What is the next term in -37690, -75415, -113160, -150925, -188710? -226515 What is next in 9993, 78567, 264289, 625731, 1221465, 2110063, 3350097? 5000139 What is next in 2227, 7608, 16107, 27724, 42459, 60312? 81283 What comes next: -11699, -23344, -34973, -46586, -58183, -69764, -81329? -92878 What is the next term in -8986608, -1
{ "pile_set_name": "DM Mathematics" }
45451057.2 26016547582631 + 2 26016547582633 What is the distance between -3.57182 and -1126534? 1126530.42818 Put together -9399005 and -17.0413. -9399022.0413 Sum 31611614 and -16.7. 31611597.3 What is -186397.39667 take away 4.6? -186401.99667 Add 64280012481199 and 0.3. 64280012481199.3 Calculate 736 - 1142214845955. -1142214845219 Subtract 214995988243 from -5. -214995988248 Add -61001585869849 and 0.5. -61001585869848.5 What is 58383 - 1.4936042? 58381.5063958 What is -15076348547770 take away -0.3? -15076348547769.7 Put together 63941268 and -0.5592. 63941267.4408 Work out -274825.9413156 + 0.4. -274825.5413156 What is 185.777 take away 1.094351? 184.682649 Subtract -0.3 from -2973.17152302. -2972.87152302 Put together 7363694.8800609 and -1. 7363693.8800609 Work out -300809 + -0.527470682. -300809.527470682 What is 1148.25 - -1188376573? 1188377721.25 Work out 28085355397 + -1.7. 28085355395.3 Work out -14 + -6129930696.1. -6129930710.1 What is the distance between 6150.57846679 and 0.2? 6150.37846679 Sum 37.7 and -20384843814. -20384843776.3 0.13023451696 + 659 659.13023451696 What is -68.1155 less than 9589.7? 9657.8155 Work out -7765735320 - -3.16. -7765735316.84 4892821823+-5 4892821818 Put together -1693277148 and 5.8579. -1693277142.1421 What is -3593092 - 974.26514? -3594066.26514 What is the distance between 1.3115 and -552053269? 552053270.3115 Total of 9572012 and -3.41351. 9572008.58649 558884 - -482918 1041802 Work out 0.0128 + -300137625. -300137624.9872 Subtract -288387440150022 from -4. 288387440150018 What is 96.155405054 plus -0.04? 96.115405054 Calculate -119 - -10000355706. 10000355587 6595428 - 0.03024 6595427.96976 What is 0.95 plus 738765.8827769? 738766.8327769 What is 1250236.05 - -145.345? 1250381.395 Sum -72733 and 38.8347. -72694.1653 What is the difference between -0.0892307731518 and 0.2? 0.2892307731518 Calculate 578273.139 + 3085. 581358.139 -1682132204+-5224.5 -1682137428.5 Add together 0.0359 and 305598333. 305598333.0359 What is -374 - 662042.618? -662416.618 Subtract -10456 from 6558198. 6568654 Sum -2.82136261095 and 0.129. -2.69236261095 What is -1.631 less than -940675580? -940675578.369 -56550838 + 831.72 -56550006.28 What is -107173446 - -5.528? -107173440.472 What is -60.6 minus 352545470? -352545530.6 Subtract -69.497912 from 0.221. 69.718912 What is 2291 minus 5217494? -5215203 Calculate 1.3218873546 + -2613. -2611.6781126454 Add 1691790426 and 18.75. 1691790444.75 Sum 225481 and 99681.2. 325162.2 -0.300876484 - 223200 -223200.300876484 What is -135 minus 1996.746934? -2131.746934 68985.41715 - 34546 34439.41715 Add 43 and -2746549549.35. -2746549506.35 Add together 805.95102452 and 1. 806.95102452 What is -384796325330 less than -0.2? 384796325329.8 What is -80456.1 less than -27703? 52753.1 Total of 139198237885 and 0.008. 139198237885.008 Calculate 0.1 - 4322340256512. -4322340256511.9 Add 0.00178 and -3831069067. -3831069066.99822 What is 5002943 + -188.9? 5002754.1 Work out -4.4488 - -0.025181038. -4.423618962 Work out -1471.0345952 - 16313. -17784.0345952 What is -44 - 759459673716.4? -759459673760.4 Total of -3590.4514435 and -0.1. -3590.5514435 Calculate -52584902 - 0.23066. -52584902.23066 What is 1108024.7 less than -18.50849? -1108043.20849 What is the difference between -3 and 161424807054580? 161424807054583 What is -7398 - -0.03926271901? -7397.96073728099 Calculate 99299 - -66.803287. 99365.803287 1.9 - 23630585918866 -23630585918864.1 Calculate -252837352447334 - 0.2. -252837352447334.2 Total of 0.1 and 2873481964.62. 2873481964.72 What is the distance between 3159229 and -38.95386? 3159267.95386 Total of 56.4189 and 3592634. 3592690.4189 Work out -10.484 + 4521922010. 4521921999.516 What is 0.73708767401 less than -2.3? -3.03708767401 Calculate 2164674.33 + 99. 2164773.33 What is 4 take away 0.11761470398? 3.88238529602 -5730926.8 + 0.03599803 -5730926.76400197 What is 8328952 + 69962? 8398914 Calculate -11338 + -7996966318. -7996977656 What is 39108 + -1119132933? -1119093825 59.14 - 635.57132692 -576.43132692 Calculate 15768 - 26725909. -26710141 Total of -0.339 and -1510041.04. -1510041.379 What is -320.10997487 + -910? -1230.10997487 What is 26.935234 take away -32682? 32708.935234 What is -30.7577 minus 1749668283? -1749668313.7577 -35 - -248520.4279 248485.4279 What is 0.69431 plus 672258663.1? 672258663.79431 What is the difference between -15728177 and -326125? 15402052 Work out -1902182830 - 67959. -1902250789 Add together -0.058 and 140487557.47. 140487557.412 Put together -965 and 30748274947. 30748273982 -470617720894 + 2 -470617720892 -2064880960+-292.2 -2064881252.2 What is 44484322 + -135853? 44348469 Calculate 0.37367693 + 3434. 3434.37367693 Calculate 1 + -26274924429. -26274924428 What is 0.129 minus -41959.5107858? 41959.6397858 Put together 0.5 and 200387249703. 200387249703.5 What is -0.44519905 minus 2637997? -2637997.44519905 What is -0.6 - 428406492640? -428406492640.6 What is 62351410923 less than -0.02? -62351410923.02 Add together 0.097428683 and 1877. 1877.097428683 What is the distance between 1.9861386 and 864? 862.0138614 What is -624945417508 - 0.4? -624945417508.4 Subtract 1 from -41444501235.6. -41444501236.6 What is the difference between -0.3 and 7298349617070? 7298349617070.3 Put together -1757928461 and -1.0928. -1757928462.0928 What is -439 - 71488937? -71489376 Subtract 1.51862 from -1088420. -1088421.51862 What is 1553121 plus -0.4041717? 1553120.5958283 What is 0.5 take away -3151.7192294096? 3152.2192294096 Work out -33.08728 - -49859253. 49859219.91272 What is -1011 - -2182.4414344? 1171.4414344 Work out -240185540 - -79540. -240106000 Total of 10633389 and -2037076. 8596313 What is -116279 minus 225712513? -225828792 What is -0.079 minus 675102039.9? -675102039.979 -91+9981970296 9981970205 What is 1921.007 less than 48.0689? -1872.9381 Subtract 3097 from 0.1601787777. -3096.8398212223 Calculate -38504865561 - -11.411. -38504865549.589 What is -67.5 minus 920426.3677? -920493.8677 Work out 64.4 + 6503911992. 6503912056.4 What is -6137995696284 plus 2? -6137995696282 What is 81.48 take away 147783358? -147783276.52 What is -3133.36 plus 93.827? -3039.533 What is -4 take away -16012.63205036? 16008.63205036 What is the distance between 2.5 and 1698808919? 1698808916.5 Add together 11019540997 and 0.01. 11019540997.01 5191 + 137514.691 142705.691 What is -4.554 + 459421441? 459421436.446 What is -95328 minus 12097584.5? -12192912.5 Calculate -453685736 - 640908. -454326644 Subtract -0.1 from -64007150698. -64007150697.9 What is 139 + -53881.0165402? -53742.0165402 What is -544764.13 - 18792? -563556.13 Add 51020334953674 and 0.1. 51020334953674.1 Calculate -1053.78 + -1718663732. -1718664785.78 -0.42945315948 + -36 -36.42945315948 What is 21542880645 - -724.4? 21542881369.4 Calculate 0.13 + 52381023035. 52381023035.13 Work out -117589.3 + 0.12115. -117589.17885 Total of 1644158490338 and 22. 1644158490360 Work out -1915.557801 + -9575. -11490.557801 0.2 + -691.231023657 -691.031023657 Put together 4 and 10763980.56222. 10763984.56222 779945.71909 - 27 779918.71909 Subtract 3 from 3605320136922. 3605320136919 What is 0.06 take away 38041497866? -38041497865.94 What is 170827.81 less than 697329? 526501.19 Calculate -295148310.72 + 150. -295148160.72 Sum 0.3 and 145812988964014. 145812988964014.3 What is -0.06591746 take away -22256511? 22256510.93408254 Sum -0.1 and 514674479.6761. 514674479.5761 Total of -0.535 and 10645.56391. 10645.02891 0.04 - -0.495271427504 0.535271427504 -9532947462 + 555 -9532946907 Put together -959.3 and 7133200. 7132240.7 What is -163.8 less than -51731.0756? -51567.2756 What is -707 less than 881515.167? 882222.167 Work out -61476.13 - -517969. 456492.87 -0.51835 + -2175611 -2175611.51835 Subtract -0.004 from 869271263. 869271263.004 What is the distance between -203105 and -731309? 528204 -4.858834410616 - -0.3 -4.558834410616 Add -216146016 and -10622. -216156638 -944 + 1343.53624954 399.53624954 Add together 0.1760555 and 0.30142727. 0.47748277 Add together 620 and -2789534152482. -2789534151862 Add -0.7038 and 7689987721. 7689987720.2962 What is -8179881 - -16.3216? -8179864.6784 What is -24778.6 mi
{ "pile_set_name": "DM Mathematics" }
Does 6 divide 39336? True Is 404856 a multiple of 24? True Is 409415 a multiple of 28? False Does 10 divide 4665790? True Does 50 divide 712856? False Is 613632 a multiple of 752? True Does 8 divide 848616? True Is 368 a factor of 2369654? False Is 302004 a multiple of 18? True Does 445 divide 2477830? False Is 19 a factor of 94545? False Does 146 divide 7592? True Is 4766300 a multiple of 25? True Does 26 divide 91046? False Does 9 divide 1469771? False Does 43 divide 294249? True Does 34 divide 157080? True Does 22 divide 4402288? True Is 62822 a multiple of 311? True Is 944186 a multiple of 9? False Is 19 a factor of 351639? False Is 93660 a multiple of 13? False Is 7952967 a multiple of 1199? True Is 1262952 a multiple of 18? True Is 801170 a multiple of 26? False Does 9 divide 8109? True Is 463104 a multiple of 9? True Is 773413 a multiple of 586? False Does 45 divide 8229? False Is 8097167 a multiple of 183? False Does 29 divide 451935? False Is 190242 a multiple of 6? True Is 13 a factor of 2505347? True Is 271 a factor of 75430? False Does 29 divide 2665709? True Is 223386 a multiple of 31? True Does 51 divide 135456? True Is 94 a factor of 950246? True Does 22 divide 221485? False Does 30 divide 22556? False Is 399 a factor of 537054? True Is 19 a factor of 32664? False Is 82 a factor of 26176116? False Is 8 a factor of 4019125? False Does 9 divide 876897? True Is 109 a factor of 82949? True Is 63161 a multiple of 93? False Is 87611 a multiple of 70? False Does 24 divide 18705240? True Does 44 divide 312664? True Is 747543 a multiple of 461? False Is 44727 a multiple of 2? False Does 22 divide 123416? False Does 5 divide 195077? False Is 128232 a multiple of 69? False Is 11 a factor of 538362? True Is 273591 a multiple of 2? False Is 12 a factor of 565645? False Does 6 divide 81? False Is 18 a factor of 114264? True Is 200 a factor of 405400? True Is 115 a factor of 265973? False Does 6 divide 703044? True Is 1653918 a multiple of 295? False Does 23 divide 384767? True Is 605808 a multiple of 144? True Is 273 a factor of 2496039? True Is 122726 a multiple of 66? False Does 959 divide 3319562? False Does 481 divide 90909? True Is 11 a factor of 63746? False Does 220 divide 13860? True Is 50483 a multiple of 420? False Is 6198984 a multiple of 6? True Is 37 a factor of 496092? False Is 32 a factor of 40189? False Is 674982 a multiple of 1461? True Is 159 a factor of 1126942? False Is 230853 a multiple of 13? False Is 5313654 a multiple of 54? True Is 1086406 a multiple of 5? False Is 774 a factor of 1743395? False Is 533 a factor of 18177188? False Is 3 a factor of 1382? False Does 113 divide 420134? True Is 289 a factor of 8106161? True Is 499664 a multiple of 16? True Is 701784 a multiple of 108? True Is 251328 a multiple of 448? True Does 23 divide 113735? True Does 211 divide 52075? False Is 208721 a multiple of 3? False Is 476 a factor of 10637986? False Is 486768 a multiple of 48? True Is 723888 a multiple of 48? True Is 3 a factor of 1781088? True Does 126 divide 706230? True Does 52 divide 256256? True Is 38 a factor of 305634? True Does 1257 divide 3420527? False Is 370434 a multiple of 258? False Does 5 divide 247101? False Is 13 a factor of 905775? True Is 27 a factor of 530914? False Does 50 divide 466100? True Is 11 a factor of 71090? False Does 359 divide 781543? True Is 577779 a multiple of 51? True Is 422380 a multiple of 90? False Is 72 a factor of 20880? True Is 16 a factor of 153424? True Does 23 divide 1031688? True Does 146 divide 2971203? False Is 1620882 a multiple of 9? True Is 399140 a multiple of 35? True Is 5936968 a multiple of 19? True Is 8669176 a multiple of 75? False Is 111 a factor of 1115255? False Is 298454 a multiple of 100? False Is 46938 a multiple of 42? False Is 195 a factor of 3492255? True Is 34 a factor of 60248? True Is 111573 a multiple of 69? True Does 1712 divide 3507888? True Does 5 divide 3085? True Does 13 divide 182364? True Does 185 divide 467588? False Is 616363 a multiple of 11? True Is 2 a factor of 68571? False Does 109 divide 2406611? True Does 782 divide 23338790? True Is 20 a factor of 250165? False Is 126 a factor of 14251? False Does 11 divide 44372? False Does 61 divide 11607241? False Does 29 divide 36386? False Is 1193202 a multiple of 9? True Is 1728840 a multiple of 16? False Is 1262115 a multiple of 2? False Does 15 divide 49797? False Is 171253 a multiple of 189? False Does 557 divide 2206517? False Is 17 a factor of 2337894? False Is 7917150 a multiple of 50? True Does 15 divide 1485? True Does 711 divide 4066020? False Is 4 a factor of 8832? True Does 2 divide 8260? True Is 122779 a multiple of 19? False Does 202 divide 95303? False Is 40 a factor of 797200? True Is 267464 a multiple of 124? False Does 3 divide 2654675? False Is 10 a factor of 5110930? True Is 58306 a multiple of 295? False Is 112 a factor of 248520? False Is 27408 a multiple of 12? True Does 388 divide 162704? False Is 195388 a multiple of 262? False Does 128 divide 288279? False Is 1114399 a multiple of 3? False Does 39 divide 71813? False Is 19 a factor of 1502032? False Does 5 divide 11595? True Is 22 a factor of 8645116? False Is 384010 a multiple of 10? True Is 549400 a multiple of 25? True Is 551 a factor of 4549056? True Is 2087 a factor of 16397559? True Does 15 divide 566310? True Does 59 divide 164? False Is 260463 a multiple of 3? True Does 526 divide 3118654? True Is 5380020 a multiple of 162? True Does 4 divide 752746? False Is 6 a factor of 5544? True Is 429720 a multiple of 120? True Is 789632 a multiple of 32? True Is 55 a factor of 30030? True Does 12 divide 250440? True Is 13566 a multiple of 17? True Is 7753515 a multiple of 55? True Does 674 divide 795320? True Is 43 a factor of 379861? False Does 97 divide 1309715? False Is 8862539 a multiple of 1174? False Is 203 a factor of 3230659? False Does 391 divide 155130? False Is 9 a factor of 397091? False Is 1063238 a multiple of 295? False Does 6 divide 40838? False Does 152 divide 656959? False Does 4 divide 1280564? True Is 215568 a multiple of 432? True Is 42161 a multiple of 8? False Is 140 a factor of 189349? False Is 15 a factor of 292605? True Is 128799 a multiple of 97? False Does 34 divide 11760396? True Does 233 divide 252572? True Is 49 a factor of 1195649? True Is 46401 a multiple of 3? True Does 193 divide 147452? True Is 356 a factor of 4145264? True Is 19 a factor of 968397? False Does 20 divide 438080? True Does 4 divide 21216? True Is 6139988 a multiple of 18? False Does 13 divide 621868? True Does 10 divide 194234? False Is 98288 a multiple of 8? True Does 26 divide 13057098? False Does 840 divide 11961600? True Does 29 divide 154338? True Does 207 divide 381087? True Is 3 a factor of 262? False Does 1340 divide 3064762? False Is 17 a factor of 55335? True Is 988649 a multiple of 70? False Is 154528 a multiple of 176? True Does 52 divide 147447? False Is 269666 a multiple of 46? False Does 7 divide 216848? False Does 447 divide 119751? False Is 4307783 a multiple of 8? False Is 250850 a multiple of 50? True Is 131 a factor of 393597? False Does 3 divide 87918? True Is 12 a factor of 2423424? True Is 9464 a multiple of 13? True Does 55 divide 12591700? True Is 156 a factor of 52494? False Does 109 divide 197237? False Is 871 a factor of 2282430? False Is 19702 a multiple of 2? True Is 2519947 a multiple of 40? False Does 271 divide 214057? False Is 9621299 a multiple of 402? False Is 185610 a multiple of 38? False Is 24 a factor of 4603856? False Is 22 a factor of 4390276? True Is 46227 a multiple of 74? False Is 921159 a multiple of 53? False Is 698100 a multiple of 25? True Does 154 divide 47894? True Is 72450 a multiple of 35? True Is 82 a factor of 1033545? False Is 20 a factor of 171460? True Is 74 a factor of 39722922? False Is 60 a factor of 24744? False Does 13 divide 1742094? False Does 377 divide 224068? False Does 13 divide 323674? True Is 34 a factor of 4438156? True Is 337433 a multiple of 17? True Does 80 divide 1425179? False Is 6 a factor of 7734012? True Is 592158 a multiple of 161? True Is 95 a factor of 214415? True Does 79 divide 53909? False Is 110 a factor of 3481277? False Does 40 divide
{ "pile_set_name": "DM Mathematics" }
Expand 4*c + c**2 - 4*c + (0*c - c + 0*c)*(-c + 3*c + 0*c) + 7*c**2 - 4*c**2 + 6*c**2. 8*c**2 Expand (-5*n**2 + 3*n**2 + 4*n**2)*(7 - 7 - n)*(39*n**2 - 760 + 760). -78*n**5 Expand 142 - 17*m - 142 + (3 - 3 - 2)*(-m + m + 2*m) - 2 + m + 2. -20*m Expand -1 + 51*d**2 - 20*d**2 - 25*d**2 + (-3 + 2*d**2 + 3)*(-2 + 3 - 3). 2*d**2 - 1 Expand -c**4 + 0*c**4 - c**4 + (-6 + 6 + 4*c)*(0*c**3 + 0*c**3 - c**3). -6*c**4 Expand -t**3 + 2*t**3 - 2*t**3 + (2*t**2 - 2*t**2 - 2*t**2)*(1 - 1 - 2*t) + 2*t + 2*t**3 - 2*t + 4*t**3 - t**3 - t**3 + 7*t - 7*t - 2*t**3. 5*t**3 Expand (2*q**2 + 0*q**2 + q**2)*(1 - 2 + 2) + 39*q + 17*q**2 - 16*q**2 + 12*q. 4*q**2 + 51*q Expand (3*b**3 - 2*b**3 + 0*b**3)*(-3*b + 2 - 1 - 4*b). -7*b**4 + b**3 Expand (c - c + 2 - 2*c)*(-4 - 4 + 2). 12*c - 12 Expand (1 + 1 - 4)*(19*v - 4*v + 37*v). -104*v Expand ((6 - 3 - 1)*(-1 + 2 + 1) - 4 - 2 + 5 - 4 + 1 + 1)*(-w + 0*w + 4*w). 3*w Expand (-3*m + m + 0*m)*(12 + 5 + 3*m - 4*m). 2*m**2 - 34*m Expand (-4 + 4 - t)*(-4*t**3 + t**3 + 4*t**3) + (7*t - t - 3*t)*(-1 - t**3 + 1). -4*t**4 Expand m**4 - 3*m**5 - m**4 + (-18*m**2 - 3 + 3)*(-3 - 2*m**3 + 3). 33*m**5 Expand (-4 - 5 + 9 - 134*v)*(v**2 + 0*v**2 + 2*v**2). -402*v**3 Expand 2*n**4 + n**2 + 5 - 5 + (2*n**3 - 2*n**2 + 2*n**2)*(2 - 2 - 2*n). -2*n**4 + n**2 Expand ((-1 - 3 + 3)*(5*v - 2 + 2) + 1 - v - 1)*(-2 + 2 + 2*v). -12*v**2 Expand 0*m**4 + 2*m**2 - 3*m**4 - 4*m**2 + m**4 - m**4 + 2*m**4 + (-m**3 - 4 + 4)*(m + 3 - 3) - m**4 - m**4 + m**4 + 0*m**4 + 0*m**4 - m**4 - 1 + 2*m**4 + 1. -2*m**4 - 2*m**2 Expand -o - 2*o**5 + o + 0*o**5 + 0*o**5 - 2*o**5 + (2*o**4 - o**4 + o**4)*(-o + 4*o - o) - o**5 - 2*o**5 + 2*o**5 - 6*o**2 - o**5 - o**4 + 6*o**2. -2*o**5 - o**4 Expand (-14*j - 2 - 15*j + 10*j)*(1 - 1 - j**2). 19*j**3 + 2*j**2 Expand (4*n**2 - 6*n**2 + 0*n**2 + (-2*n + 2 - 2)*(0*n + 2*n + 0*n) + 0 - 2*n**2 + 0 + 3*n**2 + 0*n**2 - n**2)*(-335 + 335 + 16*n**2). -96*n**4 Expand (4 - 5 - 2*d - d)*(2*d - 2*d**2 - 2*d). 6*d**3 + 2*d**2 Expand (-3 + 1 - 2*r - 2)*(-2*r + 4*r - 4*r). 4*r**2 + 8*r Expand (-2*l + 3*l - 3*l)*(23 - l**2 - 23) + 2*l**3 - 2 + l**2 + 0*l**3 - 3*l**2. 4*l**3 - 2*l**2 - 2 Expand -3*r**2 - r**2 + r**2 + (r + 0*r + r)*(r + 0*r - 3*r) + 2*r**2 + r**2 - 4*r**2. -8*r**2 Expand -73*f + 51 - 51 + (-f + f - f)*(-2 + 0 + 3) - 2*f - f + f. -76*f Expand (2 - 2 + f)*(-3 + 5 + 0) + 4 + 2*f - 4 + (-2 + 3 + 0)*(-3 + 3 + f). 5*f Expand (-3*x**3 - 6*x**3 - 3*x**3)*(-2 + 0 + 1)*(-1 - 1 + 3). 12*x**3 Expand (y + 2*y**4 - y)*(-4 + 5 + 4). 10*y**4 Expand -8*j + 8*j - 10*j + (-2 + 0 + 1)*(j + 2*j - 5*j) - 3*j + 2 + 3*j - j. -9*j + 2 Expand (4*a + 0*a - 2*a)*(a**4 + 0*a**4 - 3*a**4) + (-2 - 1 + 1)*(-2*a**5 + 2*a**3 - 2*a**3) + 3*a**5 - 4*a**5 - a**5. -2*a**5 Expand (m**2 + 3 - 3)*(0*m + 0*m - 3*m) - 43 + m**3 + 43 - m**3 + 4 - 4. -3*m**3 Expand (-6 + 2 + 2)*(9 + 7 - 2*d**3 - 4). 4*d**3 - 24 Expand 0*m + 0*m + m + m - 5*m + 2*m + (-m - m + 0*m)*(-1 + 2 + 0) + 2*m - 4*m + m. -4*m Expand (-u + 3*u - u)*(0*u - u**2 + 0*u) + (6*u - 3*u - u)*(4*u**2 - u**2 - u**2) + (2*u + 3*u - 3*u)*(u**2 + 0*u**2 + u**2). 7*u**3 Expand -3*t**5 + 3*t**5 + 8*t**5 + (-3*t**4 - t + t)*(-4*t + 5*t + 0*t). 5*t**5 Expand (-u - u + 4*u + (4*u + 0*u - 2*u)*(-4 + 0 + 2) - 4*u + 3*u + 0*u + 3*u - u - u)*((1 - 5 + 5)*(3 + 3 - 4) + 1 + 3 - 2). -8*u Expand (-2*r**2 + r**2 + 2*r**2)*(106*r**3 - 72*r**3 + 27*r**3). 61*r**5 Expand (-2 + 2*k + 2)*(6*k + 12*k + 3*k)*((-k - k + 3*k)*(4 - 3 - 3) - 2*k + 4*k - 3*k). -126*k**3 Expand (2 - 3 - 1)*(2*a - 3*a + 2*a)*(5*a - 5*a - 9*a**2). 18*a**3 Expand 3*n**3 - n**3 + n**3 + 4*n**3 + 2*n**3 - n**3 + (-3*n**2 + 6*n**2 - 4*n**2)*(n - n + 2*n) + 4*n**3 - 6*n**3 + n**3. 5*n**3 Expand (6 - 3*y - 4 - y)*(-1 + 4 - 4 + (2 - 6 + 2)*(1 + 0 - 2)). -4*y + 2 Expand -2*p**5 + p**5 + 0*p**4 + p**4 + (3*p**5 - p**5 + 0*p**5)*(-2 + 2 - 2) - p**5 - p**5 + p**5 - p**4 + p**4 - 2*p**5. -8*p**5 + p**4 Expand (0 + 15 - 4)*(3*u + 2*u - 3*u) + u + 0*u - 3*u. 20*u Expand (0*w + 0*w + 2*w**4 + (-w**3 + 4*w**3 + 0*w**3)*(w - 2*w + 3*w))*(2*w - 10 + 10). 16*w**5 Expand (-1 + 4 - 4)*(0 - 2 + 0)*(-2*r + 0*r + 4*r) - r - 2*r - 3*r + (2*r + 3*r - 3*r)*(4 - 2 - 3) + r + 1 - 1. -3*r Expand -4*h**3 + 2*h**3 + 4*h**3 + 2*h**3 - h**3 + h**3 + (-h**3 + h**3 + 2*h**3)*(-1 - 3 + 5) + 5*h**3 - 4*h**3 + 0*h**3 - 2*h**2 + 11*h**3 - 20*h**3 + 3 - 2. -2*h**3 - 2*h**2 + 1 Expand (-s + 4 - 4)*(s**3 + 2 - 2) + (0*s - s**3 + 0*s)*(61*s + 5 - 5). -62*s**4 Expand 6*v - 7*v + 8*v + (-1 + 2 + 0)*(v - 1 + 1). 8*v Expand (-7*k - 10*k + 0*k)*(-k**2 + 0*k + 0*k)*(-3*k - 2*k + 6*k). 17*k**4 Expand 0*n**5 + 2*n**5 - 4*n**5 + 2*n**2 - n**5 - 2*n**2 + (0*n**5 + 0*n**5 - 2*n**5)*(-2 + 3 + 0) + (28*n - 16*n**3 - 28*n)*(0 + 0 + 2*n**2). -37*n**5 Expand (2 + 0 - 1)*(5*i - 2*i + 0*i). 3*i Expand -3 - j**2 + 3 + (7*j**2 - 3*j**2 + 3*j**2)*(-2 + 2 - 2). -15*j**2 Expand (-32*w - 16 + 16)*(w + w - w). -32*w**2 Expand (3*s + 0*s - s)*(-s + 5*s - 5*s + 5*s**2). 10*s**3 - 2*s**2 Expand (-6*c + c + 4*c)*((-4 - 1 + 4)*(0 + 1 + 1) + 1 - 1 - 2). 4*c Expand (3 - 3 - 3*g)*(-14*g**3 + 16*g**3 + 4 + 3*g**4 - 7). -9*g**5 - 6*g**4 + 9*g Expand (-k + 3*k - k)*(-4*k + 3*k - k) + 0*k**2 - 2*k**2 + k**2 + 3*k**2 + 2*k**2 - 3*k**2. -k**2 Expand 60*j**2 + j**4 - 60*j**2 - j**4 + j**3 - j**3 + (-2*j + 0*j + 0*j)*(-2*j**3 + j**3 + 0*j**3). 2*j**4 Expand (9*h + 7*h + 11*h)*(3 + 0 - 6). -81*h Expand (-1 + 0*i - 4*i + 2*i)*(2 + 1 - 6). 6*i + 3 Expand (-4*c + 2*c + c + (3 + 2 - 3)*(4*c - 4*c - 2*c))*(3 + 0 - 2) + (-4 + 4 - 2*c)*(2 - 5 + 4). -7*c Expand (-2 - 1 - 1 - 4 + 2 + 4 + (0 + 0 + 1)*(-2 - 4 + 4))*(x**4 - 3*x**2 + 3*x**2)*(-6*x - x - 5*x). 48*x**5 Expand (4*y**2 + 3*y**3 - 4*y**2)*(y - 45 + 45)*(-5*y + 0*y + 4*y). -3*y**5 Expand (-2 + 3*a + 2)*(2 + 1 - 1 + (-2 + 1 + 3)*(-3 + 1 + 4)). 18*a Expand (-3 + 0 + 1)*(16 - 16 - 2*k + (1 + 1 - 3)*(-1 + 1 + k))*(4*k**4 + 3 - 3). 24*k**5 Expand 2*i**2 - i**2 - 3*i**2 + (-2*i + i + 2*i)*(4 - 4 - i) + (-2*i - i + 0*i)*(-6 + 6 + 11*i) + (0*i + 0*i + i)*(i + 1 - 1). -35*i**2 Expand (-5 + 1 + 3)*(1 + 3*m - 1 + (-5*m + 0*m + 3*m)*(-5 + 3 + 4)). m Expand (-4*v + 4*v + 2*v**3)*(-3 - 5*v + 1 + 10*v + (3*v - 2*v - 2*v)*(5 - 3 + 0)). 6*v**4 - 4*v**3 Expand 6*h + 8*h - 2*h + 2 + 2*h - 2 + 5*h - 3*h - h - 2 + 2 - h + (-2*h + 0 + 0)*(-3 + 1 + 1). 16*h Expand -5 + 5 + 10*d + (-3 + 5 + 0)*(4*d - 2*d + 0*d). 14*d Expand (3*b + 0 + 0)*(3*b**4 - 4*b**4 + 0*b**4) - 4*b**5 + 5*b**5 - 2*b**5 + 15*b**5 + 0*b**5 - 8*b**5. 3*b**5 Expand (-3 + 3 - 2*s)*((-1 + 1 + 1)*(4*s**2 - s**2 - 4*s**2) - s**2 + 2*s**2 + 2*s**2). -4*s**3 Expand (k + 3*k - k)*(-2*k + 4*k - 4*k)*(-2 + 2 + 2*k) - 3*k**3 + 1 - 1. -15*k**3 Expand (-4 + 2 + 3)*((-t - 3*t + 6*t)*(-5 + 5 + 2) - 4*t + 10*t - 36*t). -26*t Expand (-4 + 3 - 1)*(-3 + o + 4 - 5)*(-5*o - 2 + 2). 10*o**2 - 40*o Expand (-3*g + g + 5*g)*(2*g - 2*g + 2*g)*(4*g - 4*g - 2*g). -12*g**3 Expand (s - 6*s + 2*s)*(-2 + 2 - s)*(-44 + 44 + 9*s**3). 27*s**5 Expand (2 + 1 - 5 + 3*w)*(-2*w**2 - 4*w**2 + 5*w**2)*(2 - 2 - 2*w). 6*w**4 - 4*w**3 Expand (5*v**3 + 3*v**3 + v**3 + (1 - 1 - 2*v**2)*(-4*v + 2*v + v))*(2 - 3 - 1 + 5 - 3 - 4 + (4 - 2 - 3)*(-1 + 0 - 1) + 1 - 2 + 3 - 1 + 1 - 1). -11*v**3 Expand -3*k**3 + k**3 + 4*k**3 + (k - 8*k + 3*k)*(-4*k**2 - 3*k**2 + 4*k**2) - 2*k**3 + 3*k**2 - 3*k**2. 12*k**3 Expand -m + m - 2*m**2 + (-2*m + 4*m - 3*m)*(-m + m - 2*m) + 0*m**2 + 0*m**2 - 2*m**2 + 3*m - 3*m - 2*m**2 + (-2*m + 0*m + 6*m)*(-m - 1 + 1). -8*m**2 Expand 4 - 3 + 5 + 2*z**2 + (-3*z**2 + 2*z**2 - z**2)*(-4 + 5 - 2). 4*z**2 + 6 Expand (-3*v - 4*v + 5*v)*(4*v**2 + 1 - 1) + (3*v**2 - v**2 - 4*v**2)*(4*v + v - 3*v) + 4 - 4 + 2*v**3. -10*v**3 Expand (-2*z**3 + z**3 - z**3)*(6*z**2 - 3*z**2 - 4*z**2) - 5*z**3 - 33*z**5 - 24*z**5 + 64*z**5. 9*z**5 - 5*z**3 Expand 0 + 0 + 3*r**2 + (-2*r + 6*r - 3*r)*(-2*r - 1 + 1). r**2 Expand (-4 + 5 + 0)*(2*b - 2*b - b**2) - 5*b**2 + 13*b - 13*b - 2*b**2 + 0*b**2 + b**2. -7*b**2 Expand (-1 + 3 + 1)*(-3*n**2 - 9*n**2 + 0*n**2). -36*n**2 Expand (4 - 3 + 3 + 0 + 3 - 2 + (3 + 3 - 4)*(-4 - 1 + 4))*(-7*k**4 + 2*k**4 + 0*k**4) + (2 - 2 + k)*(0*k**3 + k**3 + k**3). -13*k**4 Expand (-22*c - 13*c - 15*c)*(1 + c - 1). -50*c**2 Expand (-3 + 3 + 2*z**2)*(z - 4*z - z) - 4*z**3 - 2*z**3 + z**3. -13*z**3 Expand (-4 + 1 + 4)*(19*c - 24*c + 27*c) + (-2*c + 3*c + 0*c)*(-4 + 2 + 3) + c + 0*
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to -8 in b, z, 0.3? b Let v = -6.2 - -6.4. Let g(u) = u**3 + 2*u**2. Let o be g(-2). What is the nearest to 6/31 in o, v, 0.4? v Let f = -987 + 987. Which is the nearest to -0.1? (a) -8 (b) f (c) 0.04 b Suppose -5*n - t + 17 = 0, 63*n + 2*t + 36 = 67*n. Which is the nearest to -19? (a) n (b) -5 (c) 1 b Let w(q) = -2*q - 19. Let z be w(-11). Suppose -10 = -z*i - 34. Let d be -1 - (-4 - (i - -1)). Which is the nearest to d? (a) -5 (b) 0.2 (c) -2 a Let v = 205 - 121. Let i = v - 83. Which is the nearest to 0? (a) 2/11 (b) i (c) 2 a Let t = 0.2353 + 0.3547. What is the nearest to -3 in -1/2, t, 3? -1/2 Let o = 114115 + -114116. Let d be 1/6*(-6)/(-4). What is the closest to -1 in d, o, -9, 2/11? o Let u = 9526 + -9435. Which is the nearest to u? (a) 5 (b) 0.4 (c) 0.03 a Let u = -23 + 25. Let l = 418 + -422. Which is the nearest to u? (a) -0.3 (b) 2 (c) l b Let l = -994.2 - -994. Which is the nearest to 8? (a) 5/2 (b) l (c) -0.06 a Let y be (6368/160 + -39)/(0 + 36/(-10)). What is the nearest to 1 in y, -1.23, 4? y Let u be (-2)/(-8)*(-8)/(-14). Let r = -4153.67 - -4154.07. Which is the closest to 0? (a) r (b) -0.1 (c) u b Let g = -0.3 + 0.2. Let l = -164 + 160. Let o = 4.8 - 4.9. Which is the closest to g? (a) -3 (b) l (c) o c Let q = -288 + 288.4. Let r = -0.53 - 0.25. Let w = 0.22 - r. Which is the closest to 0.15? (a) q (b) -1/3 (c) w a Let l = 0.09834 + -0.59834. What is the nearest to 0 in 3/2, l, -13? l Let o = -0.7 + -0.3. Suppose 0 = -8*g + 3*g + 5. Let w = 342692 + -2056153/6. Which is the nearest to 1? (a) w (b) o (c) g c Let i be ((-3)/(-3))/(11/(-44)). Which is the nearest to -0.1? (a) i (b) -0.34 (c) 0.5 b Let w = -12.08801 - -0.08801. Which is the nearest to 0.2? (a) 0 (b) w (c) 5 (d) -0.02 a Suppose 2*i + 10 = 0, -15*v + 2*i - 24 = -14*v. Which is the nearest to v? (a) -2 (b) -0.4 (c) -11 c Let k = -426.4 - 174.1. Let f = -600 - k. Let r = -3 - -8. What is the nearest to 1 in -2/7, r, f? f Let u = 1107.2 + -185.2. Let s = -921 + u. What is the nearest to -1/5 in -0.5, 1/5, -5, s? -0.5 Let y = -3.5 - -4. Let k = 0 + y. Let l = -792 + 796. What is the closest to 2/5 in k, l, -3? k Let c = -244.3 - -243.8. Let v = 0.24 - 1.14. Let j = v - -0.5. What is the closest to 0 in -0.02, j, c? -0.02 Let z be -2*9/108 - (-34)/60. Which is the closest to -0.1? (a) -5 (b) z (c) 0.2 c Let g = -1/4 - -11/12. Let h = 1705 - 1704. What is the closest to g in 4, -2, h? h Let o = -0.006331 - 0.033669. Let z = -0.37 - 0.03. Which is the nearest to z? (a) 2/15 (b) 2 (c) o c Let z be (-108)/(-3 - 9) + -13. Which is the nearest to 0? (a) z (b) 758 (c) -0.4 c Let r = -458/15 - -1384/45. Which is the closest to r? (a) 6 (b) 20 (c) 2 (d) 0.4 d Let k = 23.33366 - 11.33366. Let y = -1 - -1. Suppose 0 = -5*x - y*x. What is the closest to -1 in k, x, -1/7? -1/7 Let x be (-32)/36*(-2)/(-12)*171/38. Let p = 32 + -31.997. What is the nearest to p in x, 4, -3? x Let u = -5 - -8. Let s be (-1)/(-3) - (-70)/(-120). Let l = 941 + -943. Which is the nearest to -0.2? (a) s (b) l (c) u a Let j be ((-176)/(-704))/((-2)/(-3)). Which is the closest to 1/5? (a) 2 (b) 0.75 (c) j c Let f = -5315 + 37203/7. Suppose 6 = -3*i - 3. Let b be (i - -4)*0*1. What is the closest to f in -1, b, -1/4? -1/4 Let x = -3386/91 - -480/13. Let a = -0.1 - -6.1. Let y = 0.14 + -0.34. What is the closest to y in 5, x, a? x Let d = -17.315 + 16.715. What is the nearest to d in -14, 2/3, -0.08? -0.08 Let t = 655/14 - 661/14. Let k(m) = -m**3 - 12*m**2 - 13*m - 7. Let u be k(-11). Which is the nearest to 1? (a) t (b) -2/7 (c) u b Let j = 305/1043 - 1/149. Let l = 12.5 + -13. Let b = 1599.1 + -1600. What is the closest to j in -1, b, l? l Let i be 2*((-10)/4)/5. Let b = -3/49 - -159/196. Let u = 45 + -60. What is the closest to i in u, 0.4, b? 0.4 Let n = 4326 - 4326.3. What is the closest to -50/17 in n, 3, -0.2? n Let b(r) = r**3 - r**2 - 2*r + 2. Let j be b(2). Let z = 10071.7 - 10075.7. What is the closest to 0.1 in -2/13, z, j? -2/13 Let j = 13.6 - 14.95. Let a = j + 0.95. What is the closest to 0 in a, 2/7, -1/27? -1/27 Let d = -300/109 - -1691/654. What is the nearest to -0.2 in d, 0.2, -0.05? d Let w = 1064 + -5322/5. What is the closest to -1 in -0.07, 0, 0.06, w? w Let n = -4 - -1. Let z(i) = -36*i + 35. Let y be z(1). Let k = 9 - 13. Which is the closest to y? (a) k (b) -0.1 (c) n b Let q be (2 - 2)*(-11)/(121/(-11)). Let r = 37 + -39. What is the nearest to 2 in q, 7/2, r? 7/2 Suppose 15 = -5*f - 5*l, 4*f - 16*l + 19*l = -10. Let r be -3 + (1 - (-168)/90). Which is the nearest to f? (a) -5 (b) 11 (c) r c Suppose -82*f - 67*f + 2 = 300. Let v = -4 - -2. What is the closest to f in 0, 1.7, v? v Suppose -10*r + 1083 + 457 = 0. Let h = r + -171. Which is the closest to 1? (a) -3 (b) h (c) 2 c Let y be (-2337)/(-205) + 6*-2. What is the closest to 3 in -3, 1, y, 0.3? 1 Let s = -2/13 - 5/52. Let k = -18 - -18.106. Let f = k + -3.106. What is the nearest to 0 in -1, s, f? s Suppose 5*i + d = -0*d - 25, -d = -3*i - 7. Let j be (-344)/24 + 70/5. Which is the closest to j? (a) i (b) 0.5 (c) 24 b Let n(m) = m**2 + 12*m - 66. Let z be n(-16). Let g be 137*(-5)/10 + z/4. Which is the closest to g? (a) -2/7 (b) -2/15 (c) -5 c Let g = 603.1 + -603. Suppose 3*d + 6*v = v - 20, 4*d + 5*v + 20 = 0. What is the closest to -2/7 in g, -1, d? d Let k = -231.52 + 232.52. Which is the nearest to -0.2? (a) k (b) -2/9 (c) -2/13 (d) 0.41 b Suppose -6 = -2*r + o, o = 5*r - 14 - 7. Suppose r = 106*m - 105*m. What is the nearest to -2/3 in m, 2/3, -4? 2/3 Let o = 176432/15 - 11762. Which is the nearest to 1? (a) o (b) 6 (c) 1/4 (d) 1 d Let t = -1258 + 1255. Let p = -5.68 - -1.76. Let v = 0.08 - p. Which is the nearest to t? (a) -0.5 (b) v (c) 1 a Let n(x) = x**3 + 34*x**2 + 102*x - 8. Let k be n(-31). Let f = k - -573/2. Which is the closest to f? (a) -1/7 (b) -7/5 (c) -0.2 (d) -3 c Let d be 17 + 6832/(-140) + 32. Let h = 5.3 - 0.3. What is the closest to d in -4, h, -19? -4 Let p be (2/(-14))/((-79)/553). Let n = -1.29 + 1.3. Which is the nearest to 0.3? (a) p (b) 0.1 (c) n b Let w(l) = -5*l**3 + 2*l**2 - 2*l + 1. Let y be w(1). Let h be (y/(-18))/(8/(-4)). Let q = -4137 - -4141. Which is the closest to -2/3? (a) q (b) -0.2 (c) h b Let t = 7556 + -7553. Let z = 7/10 - 9/20. Which is the closest to z? (a) 1/3 (b) t (c) -3 (d) 0.5 a Let d = 4.816 - 2.816. What is the closest to 2/7 in -2/9, 7/8, 0, d? 0 Let m = 200 - 59. Let t = -140.6 + m. Let x = 155/6 + -26. Which is the closest to 0? (a) 9 (b) x (c) t b Let n = 8/7693 - 7717/23079. Let g(z) = 18*z. Let p be g(-1). Let h be -1 + -12*4/p. Which is the closest to 3? (a) 0.3 (b) n (c) h c Let o = 3865.9 + -3890. Which is the nearest to -2? (a) o (b) 4 (c) -5 c Let h = 0.00982 + 0.99018. What is the nearest to 0.07 in -0.1, 1/2, h? -0.1 Let h be (-3 - -1) + (-23)/(1794/(-208)). Which is the nearest to -8.5? (a) 0.5 (b) h (c) -0.4 c Let r = 704 + -702. Let h = -0.079 + 3.079. Which is the closest to 2/3? (a) -1 (b) r (c) -0.4 (d) h c Let r = -965 + 502. Let m = r - -467. Suppose 4*t = -0*f + f - 13, 2*f = -4*t + 2. Which is the nearest to m? (a) 5 (b) t (c) 1/10 a Let u = -4.95 + 0.95. Let g(f) = -131*f - 529. Let n be g(-4). What is the closest to 6/7 in n, -2, -0.3, u? -0.3 Let p = 32 + -72. Let j = p + 44. Let y be j/22 + (-1986)/(-330) + -6. Which is the closest to 0? (a) 1 (b) -1/6 (c) y b Let v be 455/(-130)*(-5)/7. Let d(h) = h**3 + 13*h**2 - 16*h - 15. Let m be d(-14). Let i = m - 13. Which is the closest to -4? (a) -1 (b) i (c) v a Suppose 197 = f - 5*v - 378, 4*f - 2*v = 2210. Let c be (-2)/(-21) + f/5250. What is the closest to 0 in c, 4, 0? 0 Let g(o) = 8*o - 49. Let b be g(6). Let h be (-3 - (2 + -8)) + 0 + b. What is the closest to h in 1.6, -4, -0.3? 1.6 Let x = -0.163 + 2.283. Let p = x - 0.12. Which is the closest to -1/4? (a) 0.5 (b) -4 (c) p a Let j = -342.6 - -468. Let g = j + -125. Which is the nearest to 0.26? (a) 4 (b) -1 (c) g c Let t = -33 + 3. Let i = t + 30. Suppose 16*k = 2*k. Which is the nearest to i? (a) -2/15 (b) k (c) 3/7 b Let q = -88284 - -88283.8. Let i = -4.2 - -5. Which is the
{ "pile_set_name": "DM Mathematics" }
e remainder when f is divided by u. 22 Suppose -4*w - 5*v + 91 = 0, -3*w + 125 = 2*w + 4*v. Let a(o) = 2*o**2 + 48*o - 321. What is the remainder when a(7) is divided by w? 26 Let j be (-5 + 84/18)/((-1)/(-3)). Calculate the remainder when j*(-3)/12 + (-812)/(-16) is divided by 9. 6 Suppose -2*v + 2*n = -5*v + 172, -3*n + 113 = 2*v. What is the remainder when 219 is divided by v? 45 Suppose -6*h + 32 = 2. Suppose 4 = 4*k, -k = h*i - 0*k + 49. Let p = i - -39. Calculate the remainder when 83 is divided by p. 25 What is the remainder when (-1 + 4)/(3/17) is divided by 3/(-7) - 59*(-2)/14? 1 Suppose 0 = -5*c - 18 + 53. Suppose -4*b = -c*b + 111. Let j(n) = -n**3 + 14*n**2 - 12*n + 7. What is the remainder when b is divided by j(13)? 17 Let n = 206 + -190. Calculate the remainder when 142 is divided by n. 14 Let c(n) = -n**3 - 8*n**2 + 13*n + 46. What is the remainder when 147 is divided by c(-9)? 7 Let i(y) = -48*y + 17. Calculate the remainder when i(-1) is divided by 25. 15 Let v(l) = 21*l + 105. Let p(d) = 14*d + 70. Let u(h) = -7*p(h) + 5*v(h). Calculate the remainder when u(5) is divided by 15. 10 Let g(b) = 8 + 1 - 10 + 4 - b. Suppose -4*i + 25 = 5*q, -2*q - i + 10 = 2*i. Calculate the remainder when q is divided by g(1). 1 Suppose -c + 2*z = -9, -4*c + c - z + 55 = 0. Let o = -17 + c. Suppose 2*m - 5*w - 4 = o, 2*m - 12 = 3*w - 0*w. What is the remainder when m is divided by 4? 0 Let m = -275 + 348. Calculate the remainder when 213 is divided by m. 67 Suppose 0 = -5*w - 0*l + l + 95, -5*l - 79 = -3*w. Let j = 17 + 17. Calculate the remainder when j is divided by w. 16 Suppose -4*w - 280 = -2*y, -3*y - 6*w + w + 365 = 0. Suppose 9*d - 277 - 119 = 0. What is the remainder when y is divided by d? 42 Suppose 3*b = -2*g + b - 2, -3*g = 5*b - 1. Let k be 3/g*(0 + 1). Let t(a) = -10*a**3 + a**2 + a - 1. Calculate the remainder when 62 is divided by t(k). 8 Let o = -126 + 128. Suppose 38 = -o*p + 76. Calculate the remainder when 36 is divided by p. 17 Let u be 0 + (48/(-4))/(-4). Suppose 3*x - 11 = 2*d, -5*d - 13 + u = -4*x. Suppose 4 = 5*w - 1. What is the remainder when d is divided by w? 0 Let s = -479 - -519. Calculate the remainder when s is divided by 36. 4 Suppose -5*j - 3*h = -6*j + 141, 0 = 5*j - h - 733. What is the remainder when j is divided by 90/(-4)*8/(-12)? 12 Let z be (-4)/6*(-16 - 2). Suppose 0 = 4*n - 5*n + z. Suppose -i - 2 = -y, y - 5*i + 2 = -0. Calculate the remainder when n is divided by y. 0 Let m = 559 - 282. Calculate the remainder when m is divided by 40. 37 Let u = 2171 + -2145. Calculate the remainder when 125 is divided by u. 21 Let u = 563 + -513. Calculate the remainder when 71 is divided by u. 21 Suppose p = -2*p - 4*u + 416, -5*p - 2*u = -698. Suppose -4*c - 60 = -p. What is the remainder when 76 is divided by c? 16 Let b(w) = 18*w - 3. Suppose -10 = -5*f + 4*y, 4 = 2*f - 4*y - y. What is the remainder when b(f) is divided by ((-34)/(-4))/((4/2)/4)? 16 Suppose -22*v = -20*v - 102. Let p = -43 + v. What is the remainder when p is divided by 1? 0 Let w = 116 - 70. Suppose -q = -7*q. Suppose 3*b - 43 + 7 = q. What is the remainder when w is divided by b? 10 Let g be (-4)/(((-22)/12)/11). Suppose -g = -6*i + 2*i. Suppose -t + 26 - i = 0. What is the remainder when t is divided by 11? 9 What is the remainder when 0 + -5 - (17 - 83) is divided by 23? 15 Let n = 184 + -155. Calculate the remainder when n is divided by 6. 5 Suppose 7 = i + 11*j - 16*j, 4*j = -3*i + 116. Let b(v) = -9*v - 13. What is the remainder when b(-12) is divided by i? 31 Let j = -12 + 18. Suppose n - 35 = j*n. Let s = 10 + n. What is the remainder when s is divided by 2? 1 Let f be 1 - (-1 + 10/(-5)). Let n(u) = 10*u - 12. Calculate the remainder when 82 is divided by n(f). 26 Suppose -3*t - 1 = -19. What is the remainder when 4/1 + -4 + t is divided by 2? 0 Let w(n) = 11*n**2 + 3*n - 2. Calculate the remainder when 28 is divided by w(1). 4 Suppose -60 = -5*p - 0. Suppose 9*z - 284 = 5*z. Calculate the remainder when z is divided by p. 11 Let j = -29 - -41. Suppose 4*b = t + 129, 0 = 59*t - 56*t + 3. Calculate the remainder when b is divided by j. 8 Suppose 0 = 4*k - 0 - 24. Calculate the remainder when k is divided by 6/(-17)*1445/(-255). 0 Let m(c) = 3*c**3 - 2*c**2 + c + 2. Let p be m(2). Suppose -p = -g - 11. What is the remainder when 154/10 - (-14)/(-35) is divided by g? 6 Suppose -5*z = 4*j - 3085, -408*z + 410*z - 1246 = -4*j. Calculate the remainder when z is divided by 45. 28 What is the remainder when (-32)/176 - (-2600)/22 is divided by 41? 36 Suppose -a - 2*j = -0*a - 34, -a = -5*j + 1. Let y = a + -6. Calculate the remainder when (-6)/4*(-156)/y is divided by 4. 1 Let w = 5112 - 5080. Let f(x) = -13*x + 6. What is the remainder when f(-9) is divided by w? 27 Suppose -w = 3*x - 119, -w + 64 = -2*x + 150. What is the remainder when 652 is divided by x? 37 Suppose 0 = -6*x + 60 + 72. Suppose 4*b + 164 = 3*o - 0*o, 3*b - 59 = -o. Let r = -13 + o. What is the remainder when r is divided by x? 21 Let j = 2512 - 2144. What is the remainder when j is divided by 184? 0 What is the remainder when 188 is divided by (1 + -9)*341/176*-4? 2 Let l = -13 + 152. What is the remainder when l is divided by 24? 19 Let u(a) = -a**3 + 2*a**2 - a. Let n be u(1). Suppose -3*z + 6 + 33 = n. Calculate the remainder when (0 + 63)/3 - -3 is divided by z. 11 Let w = -13 - -19. Suppose 5*y - w = 2*y. Calculate the remainder when (-9 + 4)/(y/(-6)) is divided by 4. 3 Suppose 2*h - 56 = -2*d, -37 = 4*d - 21. What is the remainder when 63 is divided by h? 31 Let q(j) = -j**2 + 5*j - 7. Let g be q(6). Let v = g + 8. Calculate the remainder when 20 is divided by 2/((-6)/165*v). 9 Let o = 32 + 24. What is the remainder when 95 is divided by (o/12)/((-8)/(-84))? 46 Suppose v - 5*v = -120. Suppose 0*j + 3*j = v. Let k(l) = -l**2 - 12*l - 3. What is the remainder when k(-10) is divided by j? 7 Suppose 0*j = -j + 41. Suppose 2 = c + 4. Calculate the remainder when j is divided by (1 + -2)/(c/22). 8 Suppose -24 = 2*p - 0*p. Let q = p - -17. Let d = 1 - -6. What is the remainder when d is divided by q? 2 Let n(a) = a + 51. Calculate the remainder when 115 is divided by n(-16). 10 Suppose -2*h + 109 = 5*s + 2, 2*s - 46 = -4*h. Let m be 7/(28/(-8)) + s. Let k = -10 + m. Calculate the remainder when 15 is divided by k. 6 Let t = 27 + -9. Suppose -10 = 4*u - t. Suppose 3*w - 25 = -p - u, 0 = 2*p + 4*w - 48. Calculate the remainder when 77 is divided by p. 25 Let u = -166 - -174. Let h(b) = b + 5. Calculate the remainder when h(9) is divided by u. 6 Let v = -18 - 6. Let i = v - -26. Suppose 3*w + i*w + 5 = 0, -118 = -t - 2*w. Calculate the remainder when t is divided by 41. 38 Let o = 1151 + -1145. Calculate the remainder when 15/1 - (-3 - -3) is divided by o. 3 Let r(q) = q**3 + 9*q**2 - 7*q - 3. Calculate the remainder when r(-9) is divided by 11. 5 Calculate the remainder when 529 is divided by (-3302)/(-38) - (-98)/931. 7 Let j(n) = n**3 + 15*n**2 + 33. Calculate the remainder when j(-15) is divided by 7. 5 Suppose -5*i + 334 = 4*h, 22*i - 260 = 18*i + 4*h. What is the remainder when i is divided by 36? 30 Suppose 119*v + h = 124*v - 959, 5*h = -v + 171. Suppose -2*t = -3*g + 90, -3*g - 5*t - 15 = -126. What is the remainder when v is divided by g? 31 Let n(u) = 38*u + 2001. Suppose -6*b - 5*m = -2*b - 77, 3*b + 2*m = 56. Let c = 25 - b. What is the remainder when n(-52) is divided by c? 4 Suppose -19*w = 2*m - 15*w - 58, -50 = -m + 5*w. What is the remainder when 67 is divided by m? 32 Let b(l) = -l + 5. Let a be b(-7). Let m = -9 + a. Suppose 2*o + y = 4, 5*o = 2*y - 4 + 23. Calculate the remainder when m is divided by o. 0 Let c(b) = -b**3 - b**2 - 6. Let n be c(0). Let r(g) = -g - 10. Let m be r(n). Let s = m + 6. What is the remainder when s is divided by 2? 0 Let g(j) be the first derivative of j**3 + 3*j**2 + 6*j + 27. Let m = 19 + -13. Calculate the remainder when g(-3) is divided by m. 3 Suppose -2*n = 3*a + 126, 5*n - 4*n + 3*a + 66 = 0. Calculate the remainder when 277/5 - 3/(n/(-8)) is divided by 14. 13 Let x(c) = c + 6. Let u(f) be the second derivative of -f**4/4 - f**3/2 - f**2 - 3*f. Let y be u(-1). What is the remainder when x(y) is divided by 2? 0 Suppos
{ "pile_set_name": "DM Mathematics" }
+ 3. Let z(r) = -206*r - 1. Determine 3*a(x) + 8*z(x). 209*x + 1 Let u(a) = -57*a + 33. Let i(j) = -7*j + 4. Let q = -14 + 19. Suppose -n - 8 - 19 = -q*m, m - 3 = -n. Suppose m*h - 20 = -0*h. Determine h*u(p) - 33*i(p). 3*p Let k be 1582/112 - 1/8. Let r(x) = 3*x + 2. Let l(b) = -10*b - 5. What is k*r(p) + 4*l(p)? 2*p + 8 Let a(n) = 16*n + 19. Let p(l) = -15*l - 16. What is 6*a(w) + 7*p(w)? -9*w + 2 Let n(f) = 12*f + 5. Let o(y) = y. Determine n(g) - 5*o(g). 7*g + 5 Let h(b) = b**2 + b + 1. Let p = 352 + -351. Let s(r) = 2*r**2 - r - 1. Determine p*h(u) + s(u). 3*u**2 Let v(g) = -3*g**2 + 5*g + 3. Let l(y) be the first derivative of -2*y**3 + 9*y**2/2 + 5*y - 88. Determine -3*l(p) + 5*v(p). 3*p**2 - 2*p Let a(w) = w**3 + 58*w**2 - 6*w - 6. Let v(h) = h**2 - h - 1. Give -a(r) + 6*v(r). -r**3 - 52*r**2 Let a(l) = -13*l**2 + 7*l - 4. Let u(m) = -13*m**2 + 6*m - 4. Let x(c) = 2*a(c) - 3*u(c). Let t(g) = -3*g**2 + g - 1. Let r = 28 + -37. What is r*t(b) - 2*x(b)? b**2 - b + 1 Let h(y) = 5*y - 3. Suppose 2*b - 4*v = -8*v - 12, 5*b - 3*v + 30 = 0. Let z(w) = 5*w - 3. Determine b*z(o) + 5*h(o). -5*o + 3 Let w(n) = 24*n. Let l(s) = -2*s - 2. Let c(t) = t + 3. Let v(k) = -4*c(k) - 6*l(k). Determine -16*v(y) + 5*w(y). -8*y Suppose 0 = d - 4*m + 18, 0*m - 6 = 5*d + m. Let i(r) = -32*r**2 - 9*r + 14 + 42*r**2 - 25. Let k(g) = -g**2 + g + 1. Give d*i(f) - 22*k(f). 2*f**2 - 4*f Let n(v) = 0*v**2 - 1 - 5*v**2 + 4*v**2. Let k(y) = -3*y**3 - 1 - y**3 - 8*y**2 - 5*y**2 - 2 + 10*y**2. Give k(o) - 3*n(o). -4*o**3 Let b(z) = -9*z**2 + 9*z - 11. Let k(w) = -14*w**2 + 14*w - 17. Give 8*b(t) - 5*k(t). -2*t**2 + 2*t - 3 Let x(n) = -n + 1. Let h(v) be the first derivative of -v + 1/2*v**2 - 11. Calculate -4*h(i) - 3*x(i). -i + 1 Suppose -5*t + 3 - 13 = 0. Let v be ((-3)/4)/(t/(-16)). Let s(g) = -7*g**3 + 6*g**2 + 5. Let k(h) = 8*h**3 - 7*h**2 - 6. Determine v*s(m) - 5*k(m). 2*m**3 - m**2 Let j(t) = -12*t + 6. Let q(l) = -7*l + 3. What is -3*j(b) + 5*q(b)? b - 3 Let i(p) = 2*p**2 + 4*p. Let l be (-16 - -6)*2/5. Let n(c) = -c. Suppose 15 - 16 = h. Determine h*i(b) + l*n(b). -2*b**2 Let v(b) = -b**2 - 3*b. Let k(c) = c. Suppose -12*o - 44 = -o. Let f be (-2 - 6/o) + 36/24. What is f*v(u) + 3*k(u)? -u**2 Let f(l) = 2*l**3 + 4*l. Let t(s) = -2*s - 1. Let j(x) = 2*x**3 + x**2 - 5*x - 5. Let y(q) = -j(q) + 5*t(q). Calculate -3*f(v) - 2*y(v). -2*v**3 + 2*v**2 - 2*v Suppose -26*m + 260 = 39*m. Let i(b) = b + 3. Suppose -5*p + 15 = 40. Let a(k) = k + 4. Calculate m*a(y) + p*i(y). -y + 1 Let g(s) = 5*s**3 - 13*s**2 + 13*s + 13. Let t(p) = 2*p**2 - 6*p - 6. Let w(u) = u**3 - 2*u**2. Let q(r) = -t(r) + 2*w(r). Determine -6*g(v) + 13*q(v). -4*v**3 Let n(t) = -2*t**2 - 2*t + 1. Let r = -53 - -31. Suppose -6*h + 3 = 69. Let p = r - h. Let b(g) = 10*g**2 + 10*g - 5. Give p*n(k) - 2*b(k). 2*k**2 + 2*k - 1 Suppose 0*h - 4*h + 8 = 0. Let v(k) = 2*k**2 - k + 5. Let n(t) = 2*t**2 + 4. Let p = -11 - -13. Suppose -3*m - p - 7 = 0. What is h*v(z) + m*n(z)? -2*z**2 - 2*z - 2 Let u(p) = -3*p**2 + 5. Let g(w) be the third derivative of -w**5/20 + w**3 - w**2 - 6. Calculate 5*g(f) - 6*u(f). 3*f**2 Let q(b) = 2*b**2 - 9*b**2 + 9*b + 2*b - 7*b**2. Let p = -88 - -143. Suppose -6*u + p = -u. Let a(v) = 5*v**2 - 4*v. Calculate u*a(s) + 4*q(s). -s**2 Let x(h) = 2*h - 36 + 3*h + 0 + 0. Let p be x(7). Let o(q) = -q**2 - 1. Let l(v) = -2*v**2 - v - 6. Determine p*l(t) + 4*o(t). -2*t**2 + t + 2 Let d(n) = 2*n + 4. Let j(m) = 1 + m**2 - 10 + 8 + 5*m + 9. Let t = -27 + 29. Calculate t*j(h) - 5*d(h). 2*h**2 - 4 Let o = -356 + 391. Let z(i) = -12*i**2 - 9. Let t(u) = u**2 + 1. Let j(m) = 10*t(m) + 5*z(m). Let h(c) = -3*c**2 - 2. Give o*h(y) - 2*j(y). -5*y**2 Let t(a) = 4*a**3 + 6*a**2 - 2*a - 143. Let s(d) = -21*d**3 - 33*d**2 + 11*d + 714. Calculate 2*s(l) + 11*t(l). 2*l**3 - 145 Let d(f) = 4*f - 2. Let t(p) = -7*p + 4. Let w(l) = 11*d(l) + 6*t(l). Let h(z) = -1. What is -3*h(x) - w(x)? -2*x + 1 Suppose -3*q - 4*l + 25 = 0, 10 = -q - 2*l + 21. Let w(v) = -2*v**3 - v**2 - 3*v + 1. Let d(i) = -3*i**3 - i**2 - 4*i + 2. Calculate q*d(a) - 4*w(a). -a**3 + a**2 + 2 Let f(c) be the first derivative of c**3/3 - 11*c**2/2 - 3*c - 41. Let o(m) = 5*m + 1. Calculate 3*f(s) + 7*o(s). 3*s**2 + 2*s - 2 Let w(r) be the first derivative of -4*r**3/3 - 3*r**2/2 - 7*r - 6. Let v(n) = 8 + 2*n - n**2 - 6*n**2 + 10*n**2 - 3. What is 7*v(m) + 5*w(m)? m**2 - m Let d(n) = -n**3 - 5*n**2 + 7*n - 13. Let g be d(-7). Let v(u) = 7 + 70*u - g*u - 37*u. Let q(j) = 4*j - 8. Determine -4*q(w) - 5*v(w). -w - 3 Let j(l) = 15*l**3 + 10*l**2 + l - 10. Let p(m) = -2*m**3 - m**2 + 2. What is -j(b) - 4*p(b)? -7*b**3 - 6*b**2 - b + 2 Let s = 6 - 12. Suppose 0 = 4*n - 15 - 1. Let o(i) = -4*i**3 - 2 + 3*i - n + 6*i**2 - 4*i. Let j(y) = y**3 - y**2 + 1. Calculate s*j(d) - o(d). -2*d**3 + d Let q be 3 - 1/(-2)*4. Let o(y) = 4*y + 3*y - y - q*y. Let f(m) = -3*m. Suppose u = 5*u + 5*k - 19, 18 = 3*u + 5*k. What is u*f(v) + 6*o(v)? 3*v Let b(i) = 5*i**2 - 18*i + 19. Let z be b(1). Let r(x) = -19*x**2 - 6*x. Let q(h) = h**2 + h. Calculate z*q(y) + r(y). -13*y**2 Let k(n) = -4*n**2. Let s(i) be the second derivative of -1/4*i**4 + 0 + 0*i**2 - 1/20*i**5 - 21*i + 0*i**3. Give -3*k(u) + 4*s(u). -4*u**3 Let a(g) = 14*g - 28. Let j(w) = -5*w + 6 - 4 - 3 + 10. Determine -4*a(u) - 11*j(u). -u + 13 Let u(t) = -6*t**2 - 11*t - 81. Let v(s) = s**2 + 5*s. Determine -u(i) - 2*v(i). 4*i**2 + i + 81 Let j(f) = 2*f + 11. Let i(g) = g + 7. Let l(d) = -3*i(d) + 2*j(d). Let y(u) = 10*u + 4. Give 6*l(n) - y(n). -4*n + 2 Let s(t) = 8*t**2 + 4*t + 5. Let n(o) = -23*o**2 - 13*o - 14. Let a(z) = -3*n(z) - 8*s(z). Let m(j) = -j**2 + 153*j - 1 - 2*j**2 - 157*j. Give 4*a(k) + 7*m(k). -k**2 + 1 Let z(h) be the third derivative of h**5/15 - 7*h**4/24 + 4*h**2 + 132*h + 4. Let d be ((-2)/2)/((-2)/10). Let y(c) = 2*c**2 - 3*c. Determine d*y(s) - 2*z(s). 2*s**2 - s Let f(g) = 8*g + 2*g**2 + 2*g**2 - 6*g. Let r(v) = -v**2 + v. Give f(o) + r(o). 3*o**2 + 3*o Let h = 13 - 2. Let d = 15 - 7. Suppose 0 = 3*i + d - 2. Let z(b) = 5*b - 10. Let g(o) = o - 2. Calculate h*g(q) + i*z(q). q - 2 Let c(x) = 10*x**2 - 957*x + 4. Let d(w) = 8*w**2 - 958*w + 3. Calculate 3*c(n) - 4*d(n). -2*n**2 + 961*n Let w(b) = 13226*b**3 + 119*b**2 - 119*b + 238. Let k(t) = -551*t**3 - 5*t**2 + 5*t - 10. What is 119*k(o) + 5*w(o)? 561*o**3 Let h(j) be the first derivative of 2*j**3/3 + 5*j**2/2 - 2. Let k(m) = 3*m**2 + 9*m. Let g be 0/(-1) - 92/2. Let p = -55 - g. Calculate p*h(v) + 5*k(v). -3*v**2 Let y = -848 - -845. Let i(a) = 2*a - 2. Let j(p) = 2*p - 3. Calculate y*i(o) + 2*j(o). -2*o Let t(o) = 149*o. Let h(d) = -12*d. Determine 4*h(g) + t(g). 101*g Let h(d) = 891*d**3 + 110. Let f(c) = -33*c**3 - 4. Calculate 55*f(j) + 2*h(j). -33*j**3 Let t(c) = -15*c**3 - 8*c**2 - 102*c + 8. Let x(s) = -5*s**3 - 3*s**2 - 34*s + 3. Give -3*t(n) + 8*x(n). 5*n**3 + 34*n Let v(l) = -l. Let w(h) = -3*h**2 + 148*h. What is -4*v(i) - w(i)? 3*i**2 - 144*i Let d(u) = 630*u - 112. Let f(x) = -17*x + 3. Suppose 0 = -5*r - 2*l + 23, 2*r + 17 - 11 = 3*l. Determine r*d(z) + 112*f(z). -14*z Let a(v) = v**2 - 1. Let m = -1885 + 1886. Let k(t) = -4 + 5 + 5 - 7*t**2. Determine m*k(z) + 6*a(z). -z**2 Let j(d) = -d**2 - d - 1. Let m(y) = -y**2 - 2*y + 4. What is 4*j(c) + m(c)? -5*c**2 - 6*c Let x(j) be the first derivative of j**4/4 + j + 2. Let u(s) = 4*s**3 + 5. Let z be -2*(-35)/10 + 11. Determine z*x(i) - 4*u(i). 2*i**3 - 2 Suppose -4*d = -10*y + 5*y - 14, -3*d = 5*y + 42. Let u(i) = -i. Let j(n) = -6*n**2 + 6*n. Determine y*u(o) - j(o). 6*o**2 Let n(q) = q. Let z = 4 - 1. Let m(o) = -3 + 2*o - z + 1. Let a(w) = m(w) - 6*n(w). Let t(l) = 6*l + 8. What is -8*a(d) - 5*t(d)? 2*d Let b(l) = 7*l - 12. Let y be ((-3)/2)/((9/(-12))/3). Let t(p) = -6*p + 11. Give y*t(x) + 5*b(x). -x + 6 Let r = -120 + 127. Suppose -13*j = -r*j - 36. Let a(p) = -23*p - 4 - 8*p**2 - 6*p**2 - 5. Let o(q) = 5*q**2 + 8*q + 3. Calculate j*a(x) + 17*o(x). x**2 - 2*x - 3 Let k(w) be the second derivative of 2*w**3 + w**2/2 - 2*w + 72. Let z(s) = 23*s + 1. What is 5*k(f) - 3*z(f)? -9*f + 2 Let u(o) = 4*o**3 + 3*o**2 - 3. Suppose 0 = -j - 2*j + 18. Let a(p) = -p**3 + 1 - 56*p**2 + 0 + 0 + 55*p**2. Determine j*a(d) + 2*u(d). 2*d**3 Let j(n) = 2*n**3 - 95*n**2 - 7*n - 1. Le
{ "pile_set_name": "DM Mathematics" }
94 + 58*g + 96*g**2 - 56*g to x + o*g**4 + y*g + t*g**2 + h*g**3 and give x. -91 Rearrange (283 + 5*u - 283)*(u**2 + 0*u**2 - 2*u**2) + (-20 - 17 - 38)*(-4*u**3 + 3*u**3 + 2*u**3) to the form s*u**2 + a*u**3 + i*u + f and give a. -80 Rearrange (4 - 2 - 1)*(-35*l**2 - 55 - 23*l**2 + 72) to the form n*l**2 + v*l + o and give v. 0 Express 55 + 27303*w**2 + 3*w - 27295*w**2 - 15 in the form f + g*w + h*w**2 and give f. 40 Rearrange (-2 - 4 - 13)*(2512*n + 1972*n - 5185*n) to the form q + x*n and give x. 13319 Rearrange -514*u - 883*u - 5470*u - 4146*u to w + p*u and give w. 0 Express -10*i**2 - 477*i**4 + i - 486*i**4 + 3 - 463*i**4 - 8 + 1401*i**4 in the form w*i + m*i**4 + x*i**2 + d*i**3 + l and give m. -25 Rearrange a - 111 + 930 + 1900 to m*a + g and give m. 1 Rearrange 53061*d**2 - 3 + 8*d - 52735*d**2 - 5*d - 2*d**3 - 5 to the form v*d**2 + y*d + x*d**3 + c and give c. -8 Express -5*g**3 + 0*g**4 - 14*g**3 + g**4 - 164897 + 164893 + 3*g**2 - 12*g**2 in the form r*g + v + t*g**2 + l*g**3 + d*g**4 and give d. 1 Rearrange (3 + 1 - 5 - 4 + 0)*(-45*m**3 - 161*m**3 - 410*m**3) to the form n + p*m + a*m**3 + f*m**2 and give n. 0 Express (-o + 0*o + 0*o)*(3 - 1 + 0)*(-58*o + 225*o - 61*o)*(16*o - 54*o - 40*o) in the form w*o**3 + i*o + g*o**2 + m and give w. 16536 Express (36*m - 20*m + 18*m)*(-4 + 5 + 0 + (2 - 2 + 3)*(0 + 0 + 3))*(-2*m**3 - 5*m**3 + 2*m**3) in the form g*m**3 + k*m + v*m**4 + l + a*m**2 and give v. -1700 Rearrange ((4*c**2 - 5*c**2 + 2*c**2)*(2 + 3 - 3) + 7*c - 7*c + 6*c**2)*(1038*c**2 + 8582 - 8582) to d*c**4 + u + v*c**3 + n*c + t*c**2 and give u. 0 Rearrange (3*z - z - z)*(-322 - 147 + 157)*(-10*z + 4*z - 3*z) to the form l*z**2 + g*z + i and give l. 2808 Express -57*l + 3 - 55*l - 26*l**3 + 113*l - 41*l**3 + 4*l**2 as t*l**2 + x*l**3 + u*l + j and give j. 3 Express 564*v + 439*v + 383*v + 287*v - 1086*v in the form u + z*v and give z. 587 Rearrange 0 + 2*l**4 - 1 - 2734*l + 2734*l - 2193*l**3 to the form w*l**3 + z*l + c*l**4 + a + v*l**2 and give a. -1 Rearrange -16*g**3 - 38422117*g**2 + 38421864*g**2 - 13*g**3 to the form a*g + v*g**3 + c + f*g**2 and give v. -29 Express -3099*d**2 + 6195*d**2 + d + 0*d - 3093*d**2 - 13 as g + h*d**2 + u*d and give g. -13 Rearrange 2058*d**2 - 620505*d + 620503*d - 5779*d**2 + (0 + d + 0)*(-4 + 4 + d) to k*d + m*d**2 + r and give k. -2 Express 68*p**2 - p + 215 - 35*p**2 - 30*p**2 in the form l*p**2 + j + d*p and give j. 215 Rearrange 18240*u + 447 - 5100*u - 449 to the form s + w*u and give w. 13140 Express 2906*t**2 - 388*t**3 - 59 - 2903*t**2 + 389*t**3 in the form j*t**3 + g*t + n*t**2 + d and give n. 3 Rearrange (-144*t + 40*t - 66*t)*(-1 + 0 - 5) - 2*t + t - 7*t to a*t + h and give a. 1012 Express 82630 - 149*s + 82641 - 18*s**3 - 165273 + 4*s**3 as k*s**2 + f*s**3 + c + q*s and give q. -149 Rearrange 4 + k**3 + 396*k**2 - 563*k + 561*k + 0*k**3 - 4 to the form x*k + c*k**2 + h + g*k**3 and give x. -2 Express -5158*p + 2 - 2*p**4 - 1 + 3*p**3 - 4*p**2 + 3*p**2 + 5126*p in the form x*p**2 + w*p**4 + g*p + a + d*p**3 and give a. 1 Express -207*y**3 - 9*y**2 - 293*y + 209*y**3 + 290*y - y**2 in the form f*y + k + v*y**3 + n*y**2 and give f. -3 Express -2 - 23*z**4 - 266*z + 282*z + 1 in the form i*z**3 + y*z**2 + k + p*z + j*z**4 and give p. 16 Express 163822 - 327650 - 26389*h + 163828 as z + f*h and give f. -26389 Express -18*k**2 - 18*k**2 + 39*k**2 - 9*k**3 - 8*k**4 + k + 13*k**4 in the form u*k + x*k**2 + l + n*k**3 + z*k**4 and give x. 3 Express (-6*q + q + 2*q + (q + q - 4*q)*(1 - 4 + 4) - 3*q - 13 + 13)*(-5*q + 1 + 3*q - 209*q**2 + 192*q**2) in the form o*q**3 + j*q + m*q**2 + d and give j. -8 Express (72 - 33*b - 53*b + 96*b)*((-4 - 4 + 6)*(3*b + 2*b - 7*b) - b - 4 + 4) in the form j + z*b + l*b**2 and give z. 216 Express -1434*w + 26*w**2 + 1446*w + 10*w**2 as j + t*w**2 + p*w and give p. 12 Rearrange 1036880*y**3 - 518438*y**3 - 715*y**2 - 5*y**4 + y - 518442*y**3 to p*y**2 + m + v*y**4 + l*y**3 + i*y and give i. 1 Rearrange -324 + 171 + 283*t**2 - 2*t + 156 to m*t + y + r*t**2 and give r. 283 Express 83 - 277 + 194 - 14122*b**2 - 4145*b**2 in the form t*b + v*b**2 + y and give v. -18267 Rearrange (0*y**2 - 20546*y + 20500*y + 4*y**2)*(-4*y + 3*y + 3*y) to w*y**3 + m*y + x*y**2 + r and give w. 8 Express -54*f + 18*f**3 + 54*f + (-220*f + 48*f**2 + 220*f)*(-2*f + 3*f - 2*f) in the form c*f**2 + n*f + a*f**3 + k and give a. -30 Rearrange 2*g**2 + 95*g + 5*g**3 + 80*g - 2*g**3 - 100 + 0*g**3 + 99 to b*g + n*g**3 + i*g**2 + d and give b. 175 Rearrange 27*j**2 + 29 - 148 - 5*j + 72 + 3*j + 64 to b*j + r*j**2 + w and give w. 17 Express p**2 - 3*p**2 + 0*p**2 + (0 - 3*p + 0)*(14 + 9 - 30 + 47*p) in the form n*p**2 + s + g*p and give g. 21 Rearrange (-15587 - 7557*g**2 + 15587)*((-2*g + 4 - 4)*(-3 - 1 + 3) + 1 + g - 1) to d*g**3 + f*g**2 + o + b*g and give b. 0 Rearrange -1824*u**2 + 6 + 3485*u**2 - 2 - 4 to l*u + g*u**2 + h and give g. 1661 Rearrange 0*q - 4*q**3 - 300*q**2 - 3*q - 33 + 0*q + 596*q**2 - 302*q**2 to i*q**3 + c + r*q**2 + h*q and give h. -3 Express -1342 + r + 135 - 14 in the form q + c*r and give c. 1 Rearrange -164*q**3 + 17 + 74*q**3 + 86*q**3 + 3*q to the form s*q**3 + d*q + f + m*q**2 and give f. 17 Express (2 - 13 - 3)*(-8 - 35*m + 8)*(-1 - 1 + 0) in the form l*m + r and give r. 0 Express (-11*f + 2 - 2)*(414*f**2 - 1118*f + 1118*f) as h*f**2 + m*f + d*f**3 + o and give d. -4554 Express (-50 - 2*b**3 + 42 - 54)*(-2*b + 0*b - 2*b) in the form i*b**3 + a*b + d*b**2 + f*b**4 + s and give f. 8 Rearrange (2*a + a + 0*a)*(4 - 1 - 2)*(-472*a - 81*a - 129*a) + 4*a**2 + 0*a**2 - a**2 to n + h*a + z*a**2 and give h. 0 Express (-10 - 3*l + 10)*(-2*l + 3*l + 2*l) + (-l + 0*l + 3*l)*(1 - 1 - 3*l) - 3*l**2 - 1 + 1 in the form m*l + r*l**2 + w and give r. -18 Rearrange 5 - 26*n - 1 + 6*n**2 - 35*n + 42*n + 7*n**2 to z*n**2 + p + c*n and give p. 4 Express 1081*j - 22 + 22 - 320*j + 1794*j in the form y*j + g and give y. 2555 Rearrange 353*m**4 + 3 - 4 - 361*m**4 + 14*m**2 - 12*m**2 + 7*m**3 to d*m**3 + y*m**2 + r*m**4 + o + n*m and give y. 2 Express -476*c**3 - 637*c + 1 + c**4 - 480*c**3 + 954*c**3 - c**2 in the form u*c**3 + t*c**4 + x*c**2 + z + s*c and give u. -2 Express -3*j**3 + 12*j**3 + 0*j**4 - 7*j**3 + 29*j**2 - 2*j**4 - 5*j**3 + j as q*j**4 + m*j**3 + b + p*j + a*j**2 and give m. -3 Rearrange (-8*p - 5*p**2 + 8*p)*(p**2 + 1 - 1) - 77*p**4 + 4*p**2 - 27*p**2 + 1 + 79*p**4 to the form m*p**3 + s*p**4 + w*p**2 + x + f*p and give w. -23 Express -1 - 70*o**3 + 2*o**4 - 44*o**3 + 110*o**3 - 6*o**2 in the form i*o**3 + l*o**2 + k + v*o**4 + t*o and give i. -4 Rearrange (-3 - 2*l + 3)*(-65*l**3 + 2946 - 2946) - 2*l**2 + 4*l**2 + 64*l**4 - 2*l**2 + 3*l**4 to m*l**2 + n*l + d*l**4 + t*l**3 + k and give d. 197 Express -12*a + 60 - 127 + 68 + 238*a in the form w*a + k and give w. 226 Express -9311*l**4 + l**2 + 9276*l**4 + 3*l**3 - 9*l**3 as d*l + p*l**2 + a + r*l**4 + m*l**3 and give m. -6 Rearrange -7*q**3 - 12546*q**4 + 3*q**3 + 4*q**2 + 108*q + 12544*q**4 + 2*q**3 to m*q**4 + x*q**3 + i*q + v*q**2 + t and give v. 4 Express (-37*y - 47*y + 24*y)*(-3 + 5 + 0) + (-4 - 3 + 3)*(-4*y - y + 6*y) - 2*y + 9*y + 3*y + (-4 - 1 + 3)*(0*y + 3*y - 5*y) in the form w*y + c and give w. -110 Express -4*h + 188*h - 19 - 477*h**2 + 18 + 479*h**2 in the form b*h + p*h**2 + f and give f. -1 Rearrange -3321*j - 3 + 4621*j + 1 + 4971*j to the form m*j + v and give m. 6271 Rearrange (-2 + 2*s + 2)*(31 + 24 - 65 - 2*s)*(1 - 3 + 1)*(3*s - 5*s - 4*s) to the form r*s**2 + a*s**3 + i + w*s and give a. -24 Rearrange (0*z - z + 3*z)*(-3 + 1 - 5) + 0*z - z - 2*z + (3 + 0 - 2)*(-7*z - 4 + 4)*(-7 - 5 - 7) to the form r*z + f and give r. 116 Rearrange -106 - 321*x + 319*x - 67 - 78 + 21 to y*x + g and give y. -2 Rearrange 69 - 16*p + 35*p - 8*p - 16*p - 424 to the form o + b*p and give b. -5 Rearrange -32*q**3 + 11 - 31 + 20 + 16*q**3 + 9*q to the form h*q**2 + v*q**3 + p*q + x and give v. -16 Rearrange -59*v + 4 + 49*v + 8 - 17*v**3 + 18*v**3 - 5 to the form t*v + r + d*v**3 + f*v**2 and give d. 1 Express (9*i**3 - 28*i + 28*i)*(3 - 5 + 4) + (4 - 4 - i)*(-18*i**2 - 8*i**2 + 25*i**2) in the form s*i**3 + m*i + v + n*i**2 and give s. 19 Rearrange -123*o - 2140*o**3 - 90*o + 2138*o**3 + 5 - 63*o to h*o + z
{ "pile_set_name": "DM Mathematics" }
ive b*m(x) - 4*t(x). -2*x + 1 Let a(j) be the first derivative of 85 - j**3 + 23*j + 3/2*j**4 - 17/2*j**2. Let n(i) = -2*i**3 + i**2 + 6*i - 8. What is 6*a(t) + 17*n(t)? 2*t**3 - t**2 + 2 Suppose -9*v + 4 = -11*v. Let r be (v - 5/(-5)) + 7. Suppose -r*n + 70 = -2. Let m(h) = -4*h - 1. Let k(s) = -10*s - 2. Give n*m(x) - 5*k(x). 2*x - 2 Let p(c) be the first derivative of -c**3/3 - 4*c + 1. Let t(z) = 2*z**2 + z + 4. Suppose -44 = 46*v - 68*v. Determine v*t(y) + 3*p(y). y**2 + 2*y - 4 Let g(v) = 206*v**2 - v - 1. Let k(l) = -l**2 - 4*l - 1. Calculate -g(t) + k(t). -207*t**2 - 3*t Let k(c) be the third derivative of -c**5/20 + c**4/12 - 5*c**3/6 + 315*c**2. Let b(d) = 2*d**2 - d + 4. Determine -4*b(p) - 3*k(p). p**2 - 2*p - 1 Let i(p) = -3*p**2 + 2. Let g(x) = -2*x**2 + 2. Suppose 4*s + 21 = c, 0 = 2*s - 2*c - 19 + 31. Calculate s*g(q) + 6*i(q). -8*q**2 + 2 Let k(q) = q**2 + 5*q + 2. Let j(y) be the first derivative of -y**3/3 - y**2/2 + 33. Suppose -2*f - 1 = -3*i - 19, -4*i - 2*f = 10. What is i*j(z) - k(z)? 3*z**2 - z - 2 Let p(a) = -104*a - 2*a**2 + 57*a + 40*a - 3. Let s(u) = -2*u**2 - 8*u - 4. What is -4*p(j) + 3*s(j)? 2*j**2 + 4*j Let d(f) = 197 + 194 - 390 + 13*f - 3*f. Let i(w) = -41*w - 4. Determine 9*d(u) + 2*i(u). 8*u + 1 Let t(c) = 68*c**2 - 17*c - 2. Let y(n) = -11*n**2. Determine -t(w) - 6*y(w). -2*w**2 + 17*w + 2 Let c(a) = -2*a**3 - 3*a**2. Let x = -40744 + 40745. Let s(n) = -n**3 - n**2 - 1. Determine x*c(h) - 3*s(h). h**3 + 3 Let b(k) = -3*k + 2. Let i(g) = 12*g - 2. Let m(v) = 3*b(v) + i(v). Let r(o) = 1. Let c(n) = n**2 - 9*n + 10. Let x be c(8). Calculate x*r(h) - m(h). -3*h - 2 Let w(j) = -7*j + 8. Let b(i) = -18 - 43 + 53 - 11*i - 3*i + 20*i. Let m(p) = -p**3 - 3*p**2 - p + 3. Let u be m(-3). Calculate u*b(h) + 5*w(h). h - 8 Suppose -1082 = 48*k - 1034. Let h(o) = -7*o - 3. Let w(a) be the second derivative of -a**3/6 - a**2/2 + a. Calculate k*h(r) + 4*w(r). 3*r - 1 Let p(m) = -65*m + 1817. Let y be p(28). Let q(b) = 33*b**2 - 3*b - 3. Let c(l) = -33*l**2 + 2*l + 2. Determine y*c(h) - 2*q(h). 33*h**2 Let w(h) = h - 4*h + 7*h + 7 - 7*h. Suppose -28*t - 450 + 232 = 258. Let g(y) = 8*y - 20. Determine t*w(a) - 6*g(a). 3*a + 1 Suppose 165*y + 218 - 836 = 372. Let o(r) = -4*r**2 + 5*r - 1. Let n(s) = -2*s + 4 + 4*s**2 + s**2 - 2 - 4*s. Calculate y*o(l) + 5*n(l). l**2 + 4 Let y(c) = 10*c**2 - 23*c - 6. Let t(g) = -5*g**2 + 11*g + 3. Calculate -9*t(w) - 4*y(w). 5*w**2 - 7*w - 3 Let s(d) = -7*d**2 + 5*d - 5. Let g be -10*((-5)/10 + 1). Let q = 0 - 4. Let m be (-1)/(8/2)*(q - 0). Let a(w) = -w**2 + w - 1. What is g*a(c) + m*s(c)? -2*c**2 Let p(j) = 4*j - 36. Let z be 0 - (-562)/(-18) - 4/(-18). Let b = z - -41. Let t be p(b). Let i(q) = 48*q. Let h(y) = 7*y. Calculate t*i(f) - 27*h(f). 3*f Let l(r) = 3 - 103*r + 52*r - 2 + 49*r. Let b(z) = 2*z. Let s(v) = 5 - 5*v - 5 + 4*v. Let t(p) = -2*b(p) - 5*s(p). What is -l(m) - 3*t(m)? -m - 1 Let x(c) = -9*c + 7. Suppose 334*p = 328*p + 18. Let n(h) = 4*h - 3. Suppose -g + 3 = 5*d - 2, -g - 4 = 2*d. Let r = g - -17. Give p*x(l) + r*n(l). l Let s(m) = 1690*m**3 - 5*m**2 + 4*m - 4. Let x(u) = -1690*u**3 + 4*u**2 - 3*u + 3. Determine -3*s(r) - 4*x(r). 1690*r**3 - r**2 Let o(m) = 1. Let p(h) = -3*h**3 - 7. Let r be -8 + (-1827)/(-231) - (-67)/11. What is r*o(t) + p(t)? -3*t**3 - 1 Let f(p) = -p - 7. Let y(v) = v + 4. Suppose -5*o = -5*s - 435, 5*s + 2*o + 431 = 5*o. Let m = s - -82. Determine m*f(q) - 5*y(q). -2*q + 1 Let h(z) = 5*z**2 + z - 2. Let n(g) = -8*g**2 + 2. Let s(r) = -5*h(r) - 4*n(r). Let o(b) = b**2 - b. Calculate -4*o(x) + s(x). 3*x**2 - x + 2 Let q(n) = -17*n - 4. Let s be (8/(-3))/(11/33)*-21. Suppose 0 = -180*f + s*f - 132. Let g(w) = 9*w + 2. Give f*g(a) - 6*q(a). 3*a + 2 Let l(y) = 860*y**3 + 5*y**2. Let z(h) = -2*h**3 - h**2. Calculate l(q) + 6*z(q). 848*q**3 - q**2 Let t(c) = 9*c - 27. Let g(d) = d - 8*d + 3*d + 10 - 11 + 14. Calculate -13*g(v) - 6*t(v). -2*v - 7 Let k = -22 + 25. Suppose k*a = -a - 8. Let q(c) = 2*c + 1. Let f(x) be the third derivative of -x**4/8 - x**3/3 + 404*x**2 + 2. Determine a*f(r) - 5*q(r). -4*r - 1 Let h(l) = -6*l**3 - 61*l**2 + 5*l. Let g(c) = 5*c**3 + 62*c**2 - 4*c. Suppose 5*n - 52 = -21*m + 24*m, 5*m + 60 = 5*n. Give m*h(q) - 5*g(q). -q**3 - 66*q**2 Let n be (-12)/15 - 2/(-30*(-9)/567). Let p(m) = 18*m**3 + 6*m**2. Let c(b) = 19*b**3 + 5*b**2. What is n*c(g) + 4*p(g)? -23*g**3 - g**2 Let l(v) = 12*v**2 + 34. Let o(q) = q**2 + 3. Let h be -1*(-2)/(-12) - (-435)/18. Let x = h + -9. Suppose x*b + 30 = 20*b. Calculate b*l(d) - 68*o(d). 4*d**2 Let v(w) = w**2 - w + 1. Let a(c) = 18*c**2 + c + 32. Let p(x) = 20*x**2 + 44. Let o(q) = -4*a(q) + 3*p(q). What is -o(j) + 4*v(j)? 16*j**2 Let f(w) = w**3 - 2*w - 3. Let s(v) = 119*v**3 + 46*v + 69. What is -138*f(t) - 6*s(t)? -852*t**3 Let o(n) = 6*n**2 + 0*n**2 - 3*n**2 + 2*n. Let l = -35 + 51. Let y(d) = 0*d**2 - 14*d + 29*d - l*d - d**2. What is 3*o(m) + 6*y(m)? 3*m**2 Let a be ((-4)/30 + 68/51)*-5. Let c(j) = -2*j - 2. Suppose 13*n - 94 = -29. Let t(q) = -3*q - 2. Give a*c(k) + n*t(k). -3*k + 2 Let l(q) = -q**2 + 6. Let z(r) = 8*r**2 - 504*r - 36. Give -6*l(j) - z(j). -2*j**2 + 504*j Let j(i) = -1807371*i - 36825. Let t(v) = 4419*v + 90. Determine -6*j(h) - 2455*t(h). -4419*h Let h(a) = 7*a + 2. Let v(k) be the first derivative of -4*k**2 + k - 14. Let j(c) = -1. Let l(d) = 3*j(d) + v(d). Give 7*h(n) + 6*l(n). n + 2 Let w(a) = 1279*a - 10. Let p(h) = 10*h + 2. What is 4*p(n) + w(n)? 1319*n - 2 Let f = 20 + -29. Let v(n) be the third derivative of -13*n**5/20 + 3*n**4/8 + 3*n**3/2 + 3283*n**2. Let w(z) = 10*z**2 - 2*z - 2. Give f*w(o) - 2*v(o). -12*o**2 Let r(c) = 28*c**3 + 1430*c**2 + 5. Let m(j) = 6*j**3 + 1. Calculate -5*m(x) + r(x). -2*x**3 + 1430*x**2 Let y(b) = -b**2 + 2*b. Let d(f) = -4*f**2 + 62*f - 20. Let w be d(15). Suppose w*z + 10 = 15*z. Let u(r) = 4*r**2 - 7*r. Determine z*u(a) + 7*y(a). a**2 Suppose -32*a + 177 = -47. Suppose -b - a = 3*q, -11*q = -3*b - 6*q + 21. Let d(h) = -9*h**2 + 5*h - 5. Let g(x) = -4*x**2 + 2*x - 2. Determine b*d(c) - 5*g(c). 2*c**2 Let l(t) = -138*t - 14. Let q(r) = 9 + 63*r + 36*r - 47*r + 22*r + 18*r. Determine -5*l(x) - 8*q(x). -46*x - 2 Suppose 4*w = 3*k + 17, -5*k - 12 - 5 = -w. Let t(a) = 1089 - 8*a**3 - 3*a + 1162 - 3*a**2 - 2248. Let c(p) = -p**3 - p**2 - p + 1. What is w*t(v) - 6*c(v)? -10*v**3 Let w(k) = 188*k + 32. Let g(p) = 6 - 3 - 215387*p + 215404*p. Give -32*g(v) + 3*w(v). 20*v Let y(j) = 4*j**3 + j**2 + 4*j - 5. Let d(t) = t**3 + t**2 - t - 1. Determine 5*d(q) - y(q). q**3 + 4*q**2 - 9*q Let v(j) = -j - 4. Suppose 0 = -2*r - 7*r - 18. Let a be (9/(-6))/(3 + 7/r). Let h(n) = -a*n + 6*n - 2*n - 2*n - 1. Determine -3*h(z) + v(z). 2*z - 1 Let h(w) = 27*w**3 - 15*w**2 + 2*w - 7. Let l(v) = -138*v**3 + 77*v**2 - 10*v + 38. Calculate 11*h(n) + 2*l(n). 21*n**3 - 11*n**2 + 2*n - 1 Let s(f) = -359*f + 5. Let i(z) = -1723*z + 24. Let p(x) = 5*i(x) - 24*s(x). Let k be 1/1*-1*5. Let l = 0 + k. Let r(m) = 3*m. Calculate l*p(y) + r(y). -2*y Let b(d) = -3*d**3 - 61*d**2 - 9*d + 6. Let j(f) = -5*f**3 - 90*f**2 - 13*f + 8. Calculate 10*b(v) - 7*j(v). 5*v**3 + 20*v**2 + v + 4 Let j(y) = 32*y**2 - 14*y - 258. Let x(m) = 16*m**2 - 8*m - 129. Determine -4*j(c) + 7*x(c). -16*c**2 + 129 Let m(b) = b**3 + b**2 - 13. Let c be m(0). Let d = 9 + c. Let r(x) = 6*x**2 - 2. Let w(a) = 0*a**2 + 2*a - 2*a + 5*a**2 - 6*a**2. Determine d*w(h) - r(h). -2*h**2 + 2 Let c(x) = x. Suppose -8 = 66*i - 62*i. Let q be 17 + (-1)/(3/9). Let g(p) = p + 4. Let t(m) = 1. Let b(y) = 5*g(y) - 20*t(y). Calculate i*b(l) + q*c(l). 4*l Let b(u) = 292*u**2 - u + 435. Let r(o) = -39*o**2 - 62. Calculate 2*b(v) + 15*r(v). -v**2 - 2*v - 60 Let r(x) = 20*x + 26. Suppose 4*o + 8*t + 36 = 0, -12 = 4*o - 3*t - 53. Let w(v) = -13*v - 17. Calculate o*r(a) + 8*w(a). -4*a - 6 Let d(g) = 75210*g. Let z(s) = -2594*s. Calculate 4*d(k) + 115*z(k). 2530*k Let k(d) = 96*d - 290. Let v be k(3). Let l(g) = g**3 - 4*g**2 - 2*g - 10. Let i(b) = -b**3 + b**2 + b + 1. Calculate v*i(o) - l(o). o**3 + 2*o**2 + 8 Let w(j) = 2*j**3 - j**2 - j - 4. Let y(s) = -132*s**3 + 8*s**2 + 18*s + 72. What is 18*w(o) + y(o)? -96*o**3 - 10*o**2 Let b(q) = 2*q**2 - 2*q - q - 4*q**2. Let o(k) = 31*k**2 + k. Let n be o(-1). Suppose 4*a =
{ "pile_set_name": "DM Mathematics" }
assuming x is positive. x**(-2207/119) Simplify k**(-21)*k**(4/13) assuming k is positive. k**(-269/13) Simplify k**10*k*k**(1/4) assuming k is positive. k**(45/4) Simplify (((o/o**(-7))/o)/(o**(2/19)*o))**(16/3) assuming o is positive. o**(1792/57) Simplify ((l*l*l/l**(-1))/(l*l**(-4)))/(l**(-4)/l**5) assuming l is positive. l**16 Simplify (((d*d*d**6/d*d)/d*d)**(7/9))**9 assuming d is positive. d**56 Simplify ((m/m**(-4/7))/(m/m**(-3/10)))/((m*(m/m**(-1/3))/m)/m*m)**(10/3) assuming m is positive. m**(-2629/630) Simplify ((d**0)**(-42))**(-11/4) assuming d is positive. 1 Simplify r*r**(-2/15)*r*r*r**8/r*r**(-5)/(r*r*r**(-2/7)*r) assuming r is positive. r**(226/105) Simplify (u*u**(1/26)*u**14/u)**(4/9) assuming u is positive. u**(730/117) Simplify ((a**(-2/3)/a)/a)/(a/(a/(a/(a*a*a**(5/4)))))*(a**(-9)*a)/a**(1/3) assuming a is positive. a**(-35/4) Simplify (g/g**4)**(-4/15) assuming g is positive. g**(4/5) Simplify (x*x*x**(-1)*x)**33/(x**(-5/4)/((x/(x**4/x*x))/x)) assuming x is positive. x**(253/4) Simplify ((p*p*p**31)/p)/(p/p**(12/7)) assuming p is positive. p**(229/7) Simplify (m**(-4)/((m*m**(-1)*m)/m))/((((m**(-1/6)/m)/m)/m)/m**6) assuming m is positive. m**(31/6) Simplify (((r*(r/r**15)/r)/r)/r**(-4))**(1/20) assuming r is positive. r**(-11/20) Simplify (y**(2/43)/y)/y*y/y**(6/13) assuming y is positive. y**(-791/559) Simplify (c**(-7)/(c*c/(c**(-3)/c)))**(2/17) assuming c is positive. c**(-26/17) Simplify f**(-2/47)/((f*f**(-23)*f*f)/f) assuming f is positive. f**(985/47) Simplify (y/(((y**(2/9)/y*y)/y)/y))**(-7/6)/(y**(-2))**(-21/4) assuming y is positive. y**(-371/27) Simplify (h**(-1/8))**(1/50) assuming h is positive. h**(-1/400) Simplify (c**(-5/3))**(-2/3) assuming c is positive. c**(10/9) Simplify ((t/(t*t*t/t**24))/t)/(t/(t/(t/t**(-9)))) assuming t is positive. t**11 Simplify (b/b**(-1))**(12/5)*(b*b/((b*b**(-2/3))/b))/((b*b/b**(6/11))/b) assuming b is positive. b**(1157/165) Simplify n*n**(5/3)*n*n*n*n*n**7*n*(n**(-1))**(-3/23) assuming n is positive. n**(1021/69) Simplify z**(-2/9)/(z/z**(2/15)*z) assuming z is positive. z**(-94/45) Simplify (o**(1/4))**(-1/42)/((o/(o/(o**6/o)))/(o**(-1)/o)) assuming o is positive. o**(-1177/168) Simplify z**(-14)/z**12 assuming z is positive. z**(-26) Simplify s/s**(-4/7)*s**7*s assuming s is positive. s**(67/7) Simplify (t**5*t**(-10))/((t/t**5)/t*t*t**(-7/3)) assuming t is positive. t**(4/3) Simplify z**(-12)*z/(z/(z**(-36)/z)*z) assuming z is positive. z**(-50) Simplify (q/(q*q**(2/3)))**(-7)*(q**(-1/3))**(-7/3) assuming q is positive. q**(49/9) Simplify (u*u*u**(3/2))/u*u*(u*u**(2/11)*u*u*u)/u*u*u**(-1)*u*u*u/(u/(u/(u*u**(-3/4))*u)) assuming u is positive. u**(459/44) Simplify ((r**16*r)/r)/r*r*r*(r**9/r)/r assuming r is positive. r**24 Simplify ((d*d**(1/2))/d)**(-31)/(d*d**(-1)/d)**12 assuming d is positive. d**(-7/2) Simplify (z**(2/5)*z/(z*z*z/(z*(z*z**5/z)/z)*z))/(z/z**(-2/9)*z**(-2)) assuming z is positive. z**(143/45) Simplify v*v/((v**3/v)/v)*v*v**16 assuming v is positive. v**18 Simplify (v**(-2/3)/v)**(-29/2)/(v**(-1/2)/v**(3/11)) assuming v is positive. v**(823/33) Simplify g*g/((g/(g**(2/9)*g)*g)/g)*g*g**(2/51)*g assuming g is positive. g**(652/153) Simplify (c**(-1)*c*c)**(-20)/(c**0)**(-22/3) assuming c is positive. c**(-20) Simplify (a*a/(a**(2/29)/a))/((a/(a/a**0))/a) assuming a is positive. a**(114/29) Simplify (((d/(d*d**(-4)*d))/d)/d**(-5))/(d**(-2/3)*d)**(-27) assuming d is positive. d**16 Simplify (d/(d/(d*d*d**(-27)/d*d*d)))**10 assuming d is positive. d**(-240) Simplify ((z*z*z**(-1/40)*z*z*z)/z)**44 assuming z is positive. z**(1749/10) Simplify ((((h*(h**(2/27)*h)/h)/h)/h)/h*h*h*h/h**(1/5))/(h**(-1/4))**35 assuming h is positive. h**(5197/540) Simplify (q**(-9/5)*q)/q*q/q**(1/4) assuming q is positive. q**(-21/20) Simplify (l**(-32)/l)/(l/l**(-3/19)) assuming l is positive. l**(-649/19) Simplify q**(-7)/((q**34/q)/q) assuming q is positive. q**(-39) Simplify (j/((j**(-1/5)*j)/j))**(-16/7) assuming j is positive. j**(-96/35) Simplify (v*v**4)/v*v**(-2)*(v**(-1)*v*v)/(v**(-3/4)*v) assuming v is positive. v**(11/4) Simplify (z/((z*(z*z**(2/3)*z*z*z)/z)/z*z))**(7/6)/(z**(-5)*(z/((z*z*z/z**3)/z))/z) assuming z is positive. z**(-5/18) Simplify (b**(-6)*b/(b/b**1))**(-43/2) assuming b is positive. b**(215/2) Simplify ((n**17*n)/n)/n**(1/26) assuming n is positive. n**(441/26) Simplify (q/(q*q/(q/q**6)*q))**14 assuming q is positive. q**(-98) Simplify (((n*n**(-1)/n*n*n)/n)/n)**(-3)/(n*n**(-1/5)*n**2) assuming n is positive. n**(1/5) Simplify ((a**(-4))**(34/7))**(1/26) assuming a is positive. a**(-68/91) Simplify ((d/(d*d/(d/((d**(-7)*d)/d*d)*d*d*d)*d)*d)/(d**(1/7)*d))**(-31) assuming d is positive. d**(-1705/7) Simplify ((p*p**(-2)*p*p)/(p*p/(p/p**(-6))*p*p))/(p**(2/3)/(((p/p**(-1/9))/p)/p)) assuming p is positive. p**(22/9) Simplify (s/s**(-4/13))/s*s*s**27 assuming s is positive. s**(368/13) Simplify ((x/((x**(4/3)*x)/x))/x*x**(8/3))**(-1/26) assuming x is positive. x**(-2/39) Simplify w*(w*w**(-6))/w*w*(w/(w*w*w**(-2)*w))/w*(w*w*w/((w**(-2/13)/w)/w)*w*w*w)/((w/(w*w/w**(-1/4)))/w) assuming w is positive. w**(281/52) Simplify (a/a**1*a)**(2/17) assuming a is positive. a**(2/17) Simplify z*(z*z*z**(-3/4))/z*(z*z**17)/z assuming z is positive. z**(73/4) Simplify (f**(2/3)/f)**(-15/2)*f**(4/5)*f**0 assuming f is positive. f**(33/10) Simplify (((s*s**21)/s)/s)/(s/s**20) assuming s is positive. s**39 Simplify (d/d**(-1/10)*d**(3/4)/d)/((d/((d*d**(1/2))/d))/d**4) assuming d is positive. d**(87/20) Simplify (a*a/a**(-3)*a/a**6)/(a**11*a**(-5)) assuming a is positive. a**(-6) Simplify (w*w/(w*w/(w*w**(1/3))))**23*(w*w**(-2/5))**(-45) assuming w is positive. w**(11/3) Simplify (y/y**(-45))/y*y*y**11 assuming y is positive. y**57 Simplify (z/(z*z**(-9/7)))**18 assuming z is positive. z**(162/7) Simplify (n/(((n*n**33/n)/n)/n))/((n*n*n/(n/(n/n**(1/6))*n))/n) assuming n is positive. n**(-185/6) Simplify (t**(1/4))**(-49)/(t**(-2/7)*t*t**(1/2)) assuming t is positive. t**(-377/28) Simplify ((i*i/(i/(i/((i**2*i)/i*i)))*i)/i)**(-50)/(i/(i*i*i**(-1/6))*i/i**9) assuming i is positive. i**(353/6) Simplify (f/f**(1/19)*f)**(-5/11) assuming f is positive. f**(-185/209) Simplify q/q**(5/12)*q/q**(-2/3) assuming q is positive. q**(9/4) Simplify ((z**(-2/7))**(1/26))**(-25) assuming z is positive. z**(25/91) Simplify ((o/(o**(3/8)/o)*o*o)/(o*o**2))/(o/o**3*o**(1/3)) assuming o is positive. o**(55/24) Simplify (l**(2/7))**15/(l**1/l)**(-30) assuming l is positive. l**(30/7) Simplify (f*(f*f/(((f/(f**(-9)*f))/f)/f*f*f)*f)/f*f*f*f**(6/5))/(f/(f*f**(-1)))**(7/10) assuming f is positive. f**(-7/2) Simplify ((v/(((v/(v*(v/((v*v**(2/3)/v)/v*v))/v))/v)/v))**(16/9))**49 assuming v is positive. v**(5488/27) Simplify (h*h**(-3/5))**26 assuming h is positive. h**(52/5) Simplify k**35*k*k/k**(4/21) assuming k is positive. k**(773/21) Simplify x**(-1/37)*x**(-36)/x assuming x is positive. x**(-1370/37) Simplify (o**(-1))**(2/39)*(o**(-2/7))**(8/5) assuming o is positive. o**(-694/1365) Simplify (o**2/(o/(o**(-3/7)/o)))/(o**(-1/7)/(o*o**4)) assuming o is positive. o**(33/7) Simplify u/u**16*u*u*u/u**(2/5)*u*u*u assuming u is positive. u**(-47/5) Simplify (l**(3/5)*l*(l/l**(-3))/l*l)**35 assuming l is positive. l**196 Simplify (x*x*(x/x**(-1/9))/x*x**(-6/11))/((x*x**(-9)*x)/(x*x/x**(-3/5))) assuming x is positive. x**(5527/495) Simplify (j**(-2/5)*j*j*j**(2/7)/j)**50 assuming j is positive. j**(310/7) Simplify q/q**25*q**(-17)/q assuming q is positive. q**(-42) Simplify u**(-14)/((u*u**(-11))/u) assuming u is positive. u**(-3) Simplify (g**(-2/49)*g)**(-1) assuming g is positive. g**(-47/49) Simplify (((((d**9*d)/d)/d)/d)**(-11))**(-22) assuming d is positive. d**1694 Simplify ((g/g**3)/(g*g*g**(-1/9)))**5 assuming g is positive. g**(-175/9) Simplify l/(l**(11/3)/l)*l**(1/25)*l assuming l is positive. l**(-47/75) Simplify (y**(-2/15)*(y/(y/(y*y/(y/(y/(y/((y/(y*y*y/y**(-2/9))*y*y)/y))))*y)*y))/y)**(-1/42) assuming y is positive. y**(61/1890) Simplify ((z/z**2)/((z*(z*z**(-4)/z)/z)/z))**24 assuming z is positive. z**96 Simplify (q**(-1)/q*(q*(q/(q*(q**(-1/2)/q)/q*q)*q)/q)/q*q)/(q**2/q*q**(6/5)*q) assuming q is positive. q**(-27/10) Simplify (w*w**(-4/17))**(-9) assuming w is positive. w**(-117/17) Simpli
{ "pile_set_name": "DM Mathematics" }
is 52 + 6301463? 6301545 In base 15, what is 4 + 1d75c? 1d761 In base 13, what is 5 + 222251b? 2222523 In base 5, what is -1444114044 + -42? -1444114141 In base 7, what is 1 + -13345666? -13345665 In base 10, what is -1451 + 2672? 1221 In base 14, what is 4c69 - -544? 53ad In base 6, what is 52 + -20521? -20425 In base 14, what is 35a2da - ac? 35a22c In base 15, what is -e259e08 - 5? -e259e0d In base 12, what is 3b55bb5 + -2? 3b55bb3 In base 8, what is 237604505 + 5? 237604512 In base 10, what is 1462 - 475? 987 In base 10, what is -1440830 - 15? -1440845 In base 4, what is -2021332 - -101301? -1320031 In base 13, what is -1609 + -8b99? -a4a5 In base 6, what is -232352305 - 0? -232352305 In base 12, what is 11a - 1a933? -1a815 In base 4, what is 2321311 + -22022113? -13100202 In base 16, what is 6d - -1e2d7? 1e344 In base 14, what is 247 - -219d? 2406 In base 12, what is -58398600 + 0? -58398600 In base 8, what is -123636 + 12373? -111243 In base 16, what is 121 - -2f7a07? 2f7b28 In base 2, what is -101 - -10111111110000000000? 10111111101111111011 In base 11, what is 334256536 + -4? 334256532 In base 10, what is -4010 - 6790? -10800 In base 10, what is 68 - 794706? -794638 In base 5, what is 2000 + 1231342? 1233342 In base 10, what is 816807638 - 3? 816807635 In base 15, what is -7 - -22e394? 22e38c In base 3, what is -1100220112 - -1001010? -1022212102 In base 15, what is 134712 + -a? 134707 In base 2, what is 11111110111 + 1001001000000010010? 1001001100000001001 In base 11, what is 10915232 - -6? 10915238 In base 15, what is -25c40a + -1? -25c40b In base 6, what is 1 + -41350320? -41350315 In base 6, what is 1 - 33052030? -33052025 In base 7, what is 52 + 42104643? 42105025 In base 2, what is -111000011101110 + 100010? -111000011001100 In base 15, what is e9c643 - -6? e9c649 In base 3, what is 112101211 - 101012? 112000122 In base 6, what is -14353 + 3442110? 3423313 In base 14, what is 542cb6 + 1? 542cb7 In base 11, what is -4 + -7691170? -7691174 In base 4, what is -1 - -1230223121? 1230223120 In base 3, what is 112121 - -1200122? 2020020 In base 10, what is -67259 + -647? -67906 In base 2, what is -110100010 + 1000110001111100? 1000101011011010 In base 9, what is 7765615 - 363? 7765242 In base 6, what is -2200413020 + 2? -2200413014 In base 10, what is -235 - -64398? 64163 In base 9, what is -5 - -641554346? 641554341 In base 15, what is 18b5442 + 1? 18b5443 In base 8, what is 0 - -52013135? 52013135 In base 10, what is 27 + 308043? 308070 In base 12, what is -7887b + 7? -78874 In base 3, what is -111212 + -11100121200212? -11100122012201 In base 13, what is 0 + -2542569c? -2542569c In base 2, what is 1000101110100000010110 - 10001000? 1000101110011110001110 In base 2, what is -1000101111 - -100111001011100100? 100111000010110101 In base 3, what is 12 - -22222222122112? 22222222122201 In base 12, what is -2b0160 - b1? -2b0251 In base 8, what is 11 - 41440737? -41440726 In base 15, what is -c8538 - bb? -c8604 In base 2, what is -1011 + -10000011101001100100? -10000011101001101111 In base 13, what is 418699 + -22b? 41846b In base 5, what is -1143012230 + 1? -1143012224 In base 16, what is -4 - -69878? 69874 In base 11, what is -2091085 - 1? -2091086 In base 6, what is -5 + 3445042122? 3445042113 In base 9, what is -84 - -1831648? 1831554 In base 12, what is 1a558 - 382b? 16929 In base 13, what is 5 - -c0b8a83? c0b8a88 In base 7, what is -16140211 - -25? -16140153 In base 11, what is -2 + -1a71a781? -1a71a783 In base 4, what is 3210 + -221100022? -221030212 In base 4, what is -1202 - -11131313333? 11131312131 In base 2, what is -110 + 10110100001010101000101? 10110100001010100111111 In base 15, what is -565231 + -6? -565237 In base 15, what is 9bd8 + 8c? 9c75 In base 6, what is 2 + 311444253? 311444255 In base 10, what is -95086 + -1103? -96189 In base 10, what is -630 + 168000? 167370 In base 16, what is -a1 + 339564? 3394c3 In base 5, what is -3323044 + -300? -3323344 In base 3, what is -110202101 - 21022011? -202001112 In base 7, what is 11664553530 - -5? 11664553535 In base 14, what is -2975d8a - 1? -2975d8b In base 11, what is -1 + 49a172? 49a171 In base 8, what is 0 + -27657256? -27657256 In base 12, what is 7806690 - -9? 7806699 In base 2, what is 1101100010001110111 - -111? 1101100010001111110 In base 11, what is 444 - 4449? -4005 In base 8, what is -426 - 527142? -527570 In base 10, what is -36807 - 265? -37072 In base 7, what is -403664164 - -3? -403664161 In base 10, what is 3 + -4065549? -4065546 In base 4, what is 2210231 - -21203011? 30013302 In base 9, what is -132 - 860004? -860136 In base 11, what is 16841981 - -4? 16841985 In base 9, what is -161646315 + 3? -161646312 In base 12, what is -22123 + -317b? -252a2 In base 8, what is -114737 + -665? -115624 In base 10, what is 677 + -200460? -199783 In base 14, what is -d3bdc - c3? -d3cc1 In base 16, what is -510 - 361? -871 In base 15, what is 18444 - d34? 17610 In base 10, what is 17 + -343207? -343190 In base 12, what is 3 - -468a64a? 468a651 In base 5, what is 10 - 302322001? -302321441 In base 5, what is 10342021330120 + 3? 10342021330123 In base 9, what is 50141162 + 0? 50141162 In base 6, what is -13 - 515034333? -515034350 In base 15, what is -64 - 50289? -502ed In base 8, what is 1 + -11112232? -11112231 In base 13, what is 6a + -3c016? -3bc79 In base 10, what is 2483 - -101248? 103731 In base 12, what is -5 + -3068b377? -3068b380 In base 2, what is 11110011111111100111111110 - 100? 11110011111111100111111010 In base 13, what is 0 + -798cb3? -798cb3 In base 7, what is 10 - -3503311? 3503321 In base 12, what is 48 - -19778? 19804 In base 13, what is 0 + -5579534? -5579534 In base 9, what is 437 + 143076? 143524 In base 12, what is 5770 - -346? 5ab6 In base 16, what is 8 + -4dafc? -4daf4 In base 10, what is -282 - -2417? 2135 In base 3, what is -12 - -12020002202020010? 12020002202012221 In base 2, what is -101 + 1100100111110? 1100100111001 In base 4, what is 13 + -331302031330? -331302031311 In base 7, what is 1153416232 - 2? 1153416230 In base 16, what is 14 - -7ccc5? 7ccd9 In base 3, what is 1220012011012210 - 212? 1220012011011221 In base 13, what is 1137 - -1c560? 20697 In base 14, what is -37a2ca - -10? -37a2ba In base 9, what is -2316 + 174373? 172056 In base 5, what is 3 + 343340123202? 343340123210 In base 6, what is -13015313502 + -5? -13015313511 In base 11, what is -3624752a - 8? -36247537 In base 10, what is -4 + -254644? -254648 In base 6, what is 11443 - 535004? -523121 In base 15, what is -2c + 2e09c8? 2e099b In base 15, what is 7994 + -8abd? -1129 In base 4, what is -1122132 - 21231? -1210023 In base 12, what is -17 - -2a7769b? 2a77684 In base 16, what is 1 - 26b783? -26b782 In base 3, what is 1200012100101 + -12? 1200012100012 In base 6, what is 2 - -10530443555? 10530444001 In base 7, what is -3630 + -4620? -11550 In base 2, what is -111 + -1101100010001000101111? -1101100010001000110110 In base 3, what is -101002 + -201221202121? -201222010200 In base 2, what is 11110001011 + 11011001101? 111001011000 In base 2, what is -1101000001111101101 + -10011? -1101000010000000000 In base 10, what is -180 - -196740? 196560 In base 10, what is 0 - -24163702? 24163702 In base 10, what is -15816 + -193? -16009 In base 8, what is 107570 - -470? 110260 In base 10, what is 48 + 15049? 15097 In base 12, what is -88a + -15689a? -157568 In base 5, what is 44144141 + 2334? 44202030 In base 9, what is -24476031 + 5? -24476025 In base 14, what is 2711 - a767? -8056 In base 6, what is 52135223 - 5? 52135214 In base 8, what is 2751 - -15102? 20053 In base 15, what is -38e - 2c53e? -2c8cd In base 7, what is 26161434 + -1? 26161433 In base 12, what is 6 + 66247076? 66247080 In base 3, what is -201111121101020011 + -10? -201111121101020021 In base 15, what is 4 - -1847b6b? 1847b70 In base 3, what is -1120100112012010 - -2? -1120100112012001 In base 16, what is -5d - 1de3f? -1de9c In base 6, what is -1155430 + 103? -1155323 In base 13, what is -1257a + 14a0? -110aa In base 2, what is 1101110101 - -1111010101010001? 1111100011000110 In base 2, what is 11011101101110100001 - -100111001? 11011101110011011010 In base 9, what is -267 - -111508? 111231 In base 8, what is -1155
{ "pile_set_name": "DM Mathematics" }
f 72? 7 What is the units digit of 3468? 8 What is the hundreds digit of 46818? 8 What is the tens digit of 2209? 0 What is the units digit of 22059? 9 What is the hundreds digit of 4241? 2 What is the thousands digit of 28116? 8 What is the thousands digit of 2661? 2 What is the tens digit of 2650? 5 What is the tens digit of 4190? 9 What is the tens digit of 3886? 8 What is the units digit of 9729? 9 What is the hundreds digit of 2295? 2 What is the tens digit of 1049? 4 What is the units digit of 586? 6 What is the tens digit of 67839? 3 What is the tens digit of 836? 3 What is the units digit of 2853? 3 What is the units digit of 29655? 5 What is the tens digit of 52023? 2 What is the tens digit of 131? 3 What is the units digit of 3077? 7 What is the hundreds digit of 3381? 3 What is the units digit of 356? 6 What is the units digit of 3552? 2 What is the hundreds digit of 1020? 0 What is the thousands digit of 21615? 1 What is the hundreds digit of 1186? 1 What is the tens digit of 6096? 9 What is the tens digit of 3101? 0 What is the units digit of 13086? 6 What is the units digit of 703? 3 What is the units digit of 12452? 2 What is the hundreds digit of 10088? 0 What is the tens digit of 377? 7 What is the units digit of 77480? 0 What is the units digit of 3659? 9 What is the ten thousands digit of 10935? 1 What is the hundreds digit of 16067? 0 What is the tens digit of 103342? 4 What is the units digit of 1131? 1 What is the ten thousands digit of 51517? 5 What is the hundreds digit of 1003? 0 What is the hundreds digit of 5406? 4 What is the hundreds digit of 10272? 2 What is the hundreds digit of 81465? 4 What is the hundreds digit of 1452? 4 What is the tens digit of 1679? 7 What is the units digit of 144? 4 What is the units digit of 22861? 1 What is the units digit of 4058? 8 What is the units digit of 6860? 0 What is the hundreds digit of 755? 7 What is the thousands digit of 1357? 1 What is the tens digit of 531? 3 What is the tens digit of 1244? 4 What is the units digit of 21787? 7 What is the thousands digit of 4890? 4 What is the ten thousands digit of 69409? 6 What is the units digit of 300? 0 What is the units digit of 47491? 1 What is the units digit of 31785? 5 What is the thousands digit of 2336? 2 What is the hundreds digit of 952? 9 What is the thousands digit of 4096? 4 What is the units digit of 1247? 7 What is the units digit of 957? 7 What is the thousands digit of 19241? 9 What is the units digit of 249? 9 What is the hundreds digit of 29063? 0 What is the thousands digit of 2700? 2 What is the tens digit of 2423? 2 What is the hundreds digit of 19906? 9 What is the hundreds digit of 54988? 9 What is the hundreds digit of 158459? 4 What is the tens digit of 32426? 2 What is the ten thousands digit of 64423? 6 What is the thousands digit of 1011? 1 What is the thousands digit of 40921? 0 What is the tens digit of 2243? 4 What is the thousands digit of 180867? 0 What is the ten thousands digit of 16506? 1 What is the units digit of 525? 5 What is the tens digit of 170103? 0 What is the tens digit of 1867? 6 What is the thousands digit of 93363? 3 What is the units digit of 113023? 3 What is the tens digit of 1307? 0 What is the units digit of 45921? 1 What is the hundreds digit of 2227? 2 What is the hundreds digit of 15338? 3 What is the hundreds digit of 145205? 2 What is the thousands digit of 30071? 0 What is the ten thousands digit of 10427? 1 What is the hundreds digit of 2130? 1 What is the hundreds digit of 296? 2 What is the ten thousands digit of 23073? 2 What is the units digit of 1543? 3 What is the tens digit of 14754? 5 What is the tens digit of 37793? 9 What is the units digit of 910? 0 What is the tens digit of 80671? 7 What is the ten thousands digit of 81681? 8 What is the tens digit of 577? 7 What is the tens digit of 4475? 7 What is the tens digit of 5471? 7 What is the tens digit of 2262? 6 What is the thousands digit of 1912? 1 What is the thousands digit of 142345? 2 What is the tens digit of 48764? 6 What is the tens digit of 6188? 8 What is the units digit of 969? 9 What is the hundreds digit of 5297? 2 What is the thousands digit of 7604? 7 What is the units digit of 496? 6 What is the tens digit of 1509? 0 What is the tens digit of 12686? 8 What is the tens digit of 33114? 1 What is the thousands digit of 3193? 3 What is the hundreds digit of 46340? 3 What is the units digit of 155462? 2 What is the units digit of 1190? 0 What is the hundreds digit of 1602? 6 What is the hundreds digit of 18403? 4 What is the tens digit of 995? 9 What is the tens digit of 819? 1 What is the tens digit of 16150? 5 What is the tens digit of 4435? 3 What is the hundreds digit of 37866? 8 What is the tens digit of 5493? 9 What is the tens digit of 2468? 6 What is the hundreds digit of 106311? 3 What is the ten thousands digit of 20134? 2 What is the thousands digit of 5797? 5 What is the units digit of 6077? 7 What is the units digit of 3072? 2 What is the units digit of 2104? 4 What is the thousands digit of 11732? 1 What is the hundreds digit of 34630? 6 What is the thousands digit of 28133? 8 What is the hundreds digit of 1747? 7 What is the tens digit of 18699? 9 What is the units digit of 15738? 8 What is the ten thousands digit of 31246? 3 What is the thousands digit of 103526? 3 What is the tens digit of 3730? 3 What is the hundreds digit of 193? 1 What is the units digit of 4892? 2 What is the tens digit of 61820? 2 What is the tens digit of 707? 0 What is the hundreds digit of 3629? 6 What is the hundreds digit of 98964? 9 What is the units digit of 675? 5 What is the tens digit of 57348? 4 What is the hundreds digit of 3039? 0 What is the thousands digit of 4720? 4 What is the ten thousands digit of 14377? 1 What is the thousands digit of 3672? 3 What is the hundreds digit of 23184? 1 What is the thousands digit of 1278? 1 What is the ten thousands digit of 14076? 1 What is the tens digit of 9590? 9 What is the units digit of 4548? 8 What is the tens digit of 4459? 5 What is the tens digit of 973? 7 What is the tens digit of 117652? 5 What is the hundreds digit of 7643? 6 What is the units digit of 28150? 0 What is the tens digit of 2345? 4 What is the hundreds digit of 470? 4 What is the units digit of 7787? 7 What is the units digit of 1817? 7 What is the units digit of 5731? 1 What is the hundreds digit of 16380? 3 What is the tens digit of 521? 2 What is the ten thousands digit of 12485? 1 What is the hundreds digit of 3479? 4 What is the hundreds digit of 3939? 9 What is the ten thousands digit of 161053? 6 What is the thousands digit of 1540? 1 What is the units digit of 2319? 9 What is the tens digit of 611? 1 What is the hundreds digit of 64061? 0 What is the thousands digit of 12248? 2 What is the hundreds digit of 669? 6 What is the tens digit of 71? 7 What is the hundreds digit of 414? 4 What is the tens digit of 1535? 3 What is the hundreds digit of 8846? 8 What is the hundreds digit of 11343? 3 What is the units digit of 5906? 6 What is the units digit of 3009? 9 What is the ten thousands digit of 43852? 4 What is the hundred thousands digit of 103179? 1 What is the units digit of 2766? 6 What is the hundreds digit of 2483? 4 What is the tens digit of 14713? 1 What is the ten thousands digit of 42573? 4 What is the thousands digit of 3471? 3 What is the units digit of 6520? 0 What is the hundreds digit of 89873? 8 What is the units digit of 1705? 5 What is the tens digit of 17226? 2 What is the tens digit of 810? 1 What is the hundreds digit of 897? 8 What is the hundreds digit of 3460? 4 What is the units digit of 843? 3 What is the tens digit of 112595? 9 What is the units digit of 4628? 8 What is the thousands digit of 3078? 3 What is the tens digit of 896? 9 What is the tens digit of 5754? 5 What is the tens digit of 991? 9 What is the ten thousands digit of 108052? 0 What is the units digit of 6579? 9 What is the thousands digit of 32286? 2 What is the thousands digit of 2881? 2 What is the units digit of 346? 6 What is the tens digit of 2138? 3 What is the tens digit of 12426? 2 What is the hundreds digit of 614? 6 What is the hundreds digit of 10389? 3 What is the thousan
{ "pile_set_name": "DM Mathematics" }
8 and 1318. 2 What is the highest common divisor of 605 and 1895? 5 Calculate the greatest common factor of 29196 and 2412. 36 Calculate the highest common divisor of 1512 and 27496. 56 Calculate the greatest common divisor of 2464 and 4088. 56 Calculate the greatest common divisor of 13973768 and 106. 106 What is the highest common divisor of 336 and 28875? 21 Calculate the highest common divisor of 4 and 44852. 4 Calculate the highest common divisor of 1098 and 573522. 366 What is the greatest common divisor of 45 and 74772? 9 What is the highest common divisor of 2310 and 75810? 210 Calculate the highest common factor of 46096 and 4. 4 What is the greatest common factor of 192842 and 130? 26 What is the greatest common factor of 1089 and 44? 11 Calculate the greatest common divisor of 2675 and 59492. 107 Calculate the greatest common factor of 13 and 6668051. 13 What is the greatest common divisor of 198 and 6446781? 99 What is the highest common factor of 37692 and 228? 12 What is the greatest common factor of 2400 and 1070? 10 Calculate the highest common divisor of 160 and 47320. 40 What is the highest common divisor of 745 and 1591469? 149 What is the greatest common factor of 129 and 9976? 43 What is the greatest common factor of 305 and 12640? 5 Calculate the highest common divisor of 816 and 678. 6 Calculate the highest common factor of 8745 and 12810. 15 What is the greatest common divisor of 2043795 and 1410? 705 What is the greatest common divisor of 486 and 113049? 27 Calculate the greatest common divisor of 2635 and 40137. 17 Calculate the greatest common divisor of 200 and 5560. 40 Calculate the highest common divisor of 21998 and 544. 34 What is the greatest common divisor of 35705 and 3330? 185 What is the greatest common divisor of 55 and 1771715? 55 What is the highest common divisor of 2131718 and 74? 74 Calculate the greatest common factor of 12 and 21108. 12 What is the greatest common divisor of 42651 and 63? 63 What is the greatest common factor of 473 and 16929? 11 What is the greatest common factor of 517 and 4749679? 517 What is the highest common factor of 13395 and 240? 15 What is the greatest common divisor of 18 and 180072? 18 What is the greatest common factor of 75 and 34725? 75 Calculate the greatest common divisor of 2124 and 15104. 236 Calculate the greatest common factor of 688268 and 376. 188 Calculate the greatest common factor of 454 and 200895. 227 What is the highest common divisor of 60 and 11705? 5 What is the greatest common factor of 528098 and 568? 142 What is the greatest common divisor of 16168230 and 45? 45 Calculate the highest common divisor of 3014 and 69014. 22 What is the highest common divisor of 6 and 2959302? 6 What is the highest common factor of 7 and 10331? 1 Calculate the greatest common divisor of 565868 and 7712. 964 What is the greatest common divisor of 1235 and 1995? 95 What is the highest common factor of 1625 and 83265? 65 What is the highest common divisor of 76 and 191159? 19 What is the greatest common factor of 289278 and 2376? 594 Calculate the greatest common factor of 175987 and 217. 217 Calculate the highest common factor of 13423 and 372. 31 What is the highest common factor of 10486 and 1519? 49 What is the greatest common factor of 232697 and 141? 47 What is the greatest common factor of 520064 and 34? 34 What is the greatest common factor of 345168 and 81? 27 What is the highest common divisor of 16637 and 635? 127 Calculate the greatest common divisor of 13 and 89219. 13 Calculate the greatest common factor of 6893 and 2599. 113 What is the greatest common divisor of 52038 and 1176? 294 What is the greatest common factor of 34039 and 9? 1 What is the highest common factor of 739591 and 857? 857 Calculate the greatest common divisor of 389442 and 846. 282 What is the greatest common factor of 39470 and 160? 10 Calculate the greatest common divisor of 21444 and 480. 12 Calculate the greatest common divisor of 5 and 5195. 5 What is the greatest common factor of 794 and 454962? 794 What is the highest common divisor of 300 and 121500? 300 What is the greatest common divisor of 61671 and 86946? 1011 What is the greatest common divisor of 7935 and 17986? 529 Calculate the greatest common factor of 6292 and 968. 484 What is the greatest common divisor of 33520 and 10? 10 What is the greatest common factor of 391671 and 63? 63 What is the highest common factor of 13815 and 11359? 307 Calculate the greatest common factor of 2542553 and 13. 13 Calculate the highest common factor of 57138 and 44322. 534 What is the greatest common divisor of 21837 and 44283? 87 Calculate the highest common divisor of 1237338 and 3498. 318 What is the greatest common factor of 649 and 90506? 59 Calculate the greatest common divisor of 4825 and 1544. 193 Calculate the highest common factor of 2101 and 86295. 11 What is the greatest common divisor of 6206 and 8497? 29 What is the greatest common factor of 423 and 208821? 141 Calculate the highest common factor of 10579 and 1043. 149 What is the greatest common factor of 969 and 6018? 51 Calculate the greatest common divisor of 51467 and 17797. 481 Calculate the greatest common factor of 43830 and 1990. 10 Calculate the greatest common factor of 6104 and 896. 56 What is the greatest common divisor of 724 and 2468? 4 What is the highest common factor of 1431 and 3996? 27 What is the highest common factor of 3417 and 714? 51 What is the greatest common divisor of 198 and 2266? 22 Calculate the greatest common divisor of 169 and 29. 1 What is the highest common factor of 513032 and 104? 104 What is the highest common factor of 15768 and 16425? 657 What is the greatest common divisor of 3885 and 92085? 105 Calculate the highest common divisor of 1238 and 2069317. 619 Calculate the greatest common factor of 8749804 and 532. 532 What is the highest common factor of 1355 and 284821? 271 What is the highest common factor of 5 and 4835? 5 What is the highest common factor of 2413 and 121505? 19 What is the highest common factor of 292189 and 265? 53 What is the highest common divisor of 72 and 3664? 8 Calculate the greatest common factor of 13386 and 37536. 138 Calculate the highest common factor of 15 and 18327. 3 Calculate the greatest common divisor of 8261883 and 199. 199 Calculate the highest common divisor of 5265 and 6183. 27 What is the greatest common factor of 50952 and 1496? 88 What is the greatest common factor of 4360 and 374415? 545 Calculate the highest common factor of 77 and 214104. 11 Calculate the greatest common factor of 2101107 and 263. 263 Calculate the highest common divisor of 62616 and 312. 24 Calculate the highest common factor of 18 and 23870952. 18 What is the greatest common divisor of 11737 and 11? 11 Calculate the greatest common factor of 36025 and 825. 275 What is the highest common factor of 4077450 and 1025? 1025 What is the highest common divisor of 220 and 25751? 11 Calculate the highest common divisor of 6 and 240978. 6 What is the greatest common divisor of 10704 and 129117? 669 What is the highest common factor of 160480 and 96? 32 Calculate the greatest common divisor of 148 and 1739. 37 Calculate the highest common factor of 372208 and 16. 16 Calculate the greatest common factor of 4617 and 95. 19 Calculate the greatest common divisor of 378165 and 3400. 85 Calculate the greatest common divisor of 5265 and 165240. 405 What is the highest common divisor of 546 and 17394? 78 Calculate the highest common divisor of 1028508 and 26. 26 What is the highest common divisor of 6 and 259566? 6 What is the greatest common divisor of 290 and 55535? 145 What is the greatest common factor of 1443620 and 551? 551 What is the highest common factor of 50 and 440? 10 Calculate the highest common factor of 2222 and 572. 22 Calculate the greatest common divisor of 312 and 44031. 39 What is the highest common divisor of 1569570 and 1582? 226 Calculate the highest common divisor of 680 and 73040. 40 Calculate the highest common divisor of 17 and 1974227. 17 Calculate the highest common divisor of 94 and 2333503. 47 What is the greatest common factor of 115 and 21025? 5 What is the highest common divisor of 473 and 99244? 43 Wh
{ "pile_set_name": "DM Mathematics" }
et r(f) be the third derivative of z(f). Find the third derivative of r(b) wrt b. -120*b Let v(b) = -15*b**4 - 8*b**2 - 12. Let m(w) = -32 - w**2 - 5*w**4 - 2*w**2 + 28 + 0*w**2. Let s(y) = -8*m(y) + 3*v(y). Differentiate s(z) wrt z. -20*z**3 Let c(f) = 2*f**2 - 3*f + 3. Let i be c(2). Find the third derivative of -2*o**3 + 4*o**3 - 2*o**2 + i*o**2 wrt o. 12 Let l(y) be the second derivative of -4*y**6/15 + 9*y**2/2 + 4*y. What is the derivative of l(c) wrt c? -32*c**3 What is the derivative of 13*v - 4 - 7 - 17*v wrt v? -4 Let a(p) be the first derivative of -3*p**5/20 - p**3/2 - 4*p + 4. Let c(n) be the first derivative of a(n). What is the second derivative of c(d) wrt d? -18*d What is the first derivative of -186*v**3 + 30 + 86*v**3 - 10 + 77*v**3 wrt v? -69*v**2 Let l(p) = -p**3 - 7*p**2 - 8*p - 9. Let j be l(-6). Suppose j*m - 6 = -0*m. What is the first derivative of -1 + 2*z**2 + z**2 - 2*z**m + 0 wrt z? 2*z Suppose -3*j + 6 = -0. Differentiate 1 - 2*z**2 + 3*z**j - 5 + 3 with respect to z. 2*z Let r(c) be the first derivative of -13*c**7/7 + 4*c**3 + 4. What is the third derivative of r(w) wrt w? -1560*w**3 Suppose 3*t - 7 - 2 = 0. Suppose -2*g = -t*n + 5, 5*n - n + 4*g - 40 = 0. Find the third derivative of 4*i**4 - 2*i**2 + 2*i**n - 4*i**4 wrt i. 120*i**2 Let a(m) be the second derivative of -4*m + 1/3*m**4 + 0 + 2*m**2 + 0*m**3. Differentiate a(k) with respect to k. 8*k Let x(g) be the second derivative of 1/6*g**4 + 0*g**2 - 7*g + 0*g**7 + 0*g**6 + 0*g**5 + 0 - 5/56*g**8 + 0*g**3. What is the third derivative of x(i) wrt i? -600*i**3 What is the third derivative of -g**4 - g**2 - g**2 + 3*g**4 wrt g? 48*g Suppose p = -2*n - 3*n - 4, -5*n = 10. Suppose g + 8 = 4*v - p, 6 = 5*g - v. Find the second derivative of c**3 - 5*c**g + 5*c**2 + 2*c wrt c. 6*c Let v(s) = -4*s**2. Let t(m) = 12*m**2 - m. Let z(w) = 4*t(w) + 14*v(w). What is the second derivative of z(u) wrt u? -16 Let h(n) be the second derivative of 0*n**2 - 3/20*n**5 + 6*n + 0*n**3 + 3/4*n**4 + 0. Find the third derivative of h(l) wrt l. -18 Find the third derivative of -5*n**2 + 6*n**5 + 0*n**2 - 10*n**5 - 5*n**2 wrt n. -240*n**2 Let f be 7 - ((-1 - -1) + 4). What is the second derivative of 1 - 1 + 5*z**f - 3*z**3 + 5*z wrt z? 12*z What is the third derivative of 9*j**2 + 5*j**3 - 8*j**3 - 6*j**6 + 3*j**3 wrt j? -720*j**3 Let p(a) be the second derivative of -13*a**5/20 + 2*a**4/3 + 10*a. What is the third derivative of p(i) wrt i? -78 Let y(i) = i**2 + i - 1. Let j(q) = -11*q**2 - 2*q + 18. Let l(n) = -j(n) - 2*y(n). Differentiate l(u) with respect to u. 18*u What is the third derivative of -4*k**3 - 3*k**3 + 4*k**3 - 2*k**2 - 6*k**2 wrt k? -18 Let l be 2 + -4 + 2 + 2. Find the second derivative of 0*w**2 + 0*w**2 + 5*w - 6*w + l*w**3 wrt w. 12*w Suppose 0 + 4 = 4*b. Let x be 2 + (-1)/1 + b. Differentiate -6*g**x + 2*g**3 + 3*g**2 + 3*g**2 + 2 with respect to g. 6*g**2 Let o(w) be the third derivative of -w**5/10 - w**3/3 - 5*w**2. What is the derivative of o(k) wrt k? -12*k Let i(c) be the second derivative of -3*c**5/5 + 2*c**4/3 + 10*c. What is the third derivative of i(u) wrt u? -72 What is the derivative of 76*g - 11 + 24*g**2 - 76*g wrt g? 48*g Suppose -2*z = z + 2*m - 8, 2*z - 2*m = 2. Suppose -z*v = 3*v. What is the third derivative of 7*w**6 + 0*w**2 + v*w**2 - 5*w**6 - 3*w**2 wrt w? 240*w**3 Let h be (-2 + -2 + 2)*-1. Find the third derivative of d**6 + 3*d**2 + 2*d**2 - 2*d**6 - 4*d**h wrt d. -120*d**3 Let z(a) = 33*a**4 + 5*a**3 - 9*a**2 - 5*a + 5. Let q(p) = p**3 + p**2 - p + 1. Let i(j) = -5*q(j) + z(j). Find the third derivative of i(f) wrt f. 792*f Find the second derivative of c**3 - c**3 + 0*c + 2*c - 4*c**4 wrt c. -48*c**2 Let u(s) be the third derivative of -s**8/1680 - s**4/24 - s**3/3 - 2*s**2. Let b(c) be the first derivative of u(c). Differentiate b(t) wrt t. -4*t**3 What is the second derivative of 47*d**4 + 5*d**4 - 27*d - 36*d wrt d? 624*d**2 Let j(b) = 32*b**3 - 8*b**2 - 6. Let f(g) = -g**3 + 1. Let q(r) = -6*f(r) - j(r). What is the third derivative of q(m) wrt m? -156 Let t(k) = -k**3 + 5*k**2 + 6*k + 4. Let c be t(6). Suppose 3*l + c = 4*l. What is the first derivative of -3 + 3 - 4 + 1 - 3*q**l wrt q? -12*q**3 Let c(l) = 15*l**3 - 6*l**2 + 6*l - 23. Let v(j) = -31*j**3 + 13*j**2 - 13*j + 46. Let s(z) = -13*c(z) - 6*v(z). Find the first derivative of s(i) wrt i. -27*i**2 Let c(v) = 10*v**2 - 1. Suppose 0*h + 3*h - 3 = 0. Let t be c(h). Find the third derivative of -11*a**5 + 3*a**2 + 0*a**2 + t*a**5 wrt a. -120*a**2 Let q(s) = s**2 - 13*s + 11. Let z be q(13). Find the second derivative of -2*h**3 + 6*h - 11*h + z*h wrt h. -12*h Let w(m) be the first derivative of m**4/2 - 5*m + 7. What is the derivative of w(j) wrt j? 6*j**2 Let i(z) = 10*z - 55. Let y(q) = -20*q + 109. Let w(v) = -5*i(v) - 3*y(v). What is the first derivative of w(p) wrt p? 10 Let k(g) be the third derivative of -3*g**6/40 - 11*g**3/6 + 6*g**2. Differentiate k(l) wrt l. -27*l**2 Let q(d) be the first derivative of d**6/3 + 4*d**5 + 44*d**3/3 - 5. What is the third derivative of q(t) wrt t? 120*t**2 + 480*t Let s(c) be the first derivative of 0*c**2 + 0*c**4 - 1 + 1/5*c**5 + 0*c**3 - 3*c. What is the first derivative of s(d) wrt d? 4*d**3 Let u(k) be the second derivative of -k**5/20 + 10*k**3/3 + 3*k**2 - 41*k. Find the first derivative of u(g) wrt g. -3*g**2 + 20 Let c(h) = 7*h**3 + 2. Let z(j) = 7*j**3 + 2. Suppose 6 = 2*i + 3*q + q, 0 = -4*q - 4. Let u(k) = i*c(k) - 4*z(k). Differentiate u(a) with respect to a. 21*a**2 What is the third derivative of 3*s**3 + 16*s**2 - s**3 - 2*s**3 - 4*s**4 wrt s? -96*s Let g(r) be the first derivative of -13*r**6/2 - 44*r**3/3 - 38. Find the third derivative of g(q) wrt q. -2340*q**2 Let c(n) = 85*n + 36. Let y(h) = 21*h + 9. Let d(m) = -2*c(m) + 9*y(m). What is the derivative of d(p) wrt p? 19 Let j = -3 + -2. Let f(o) = -5 + 7 - 1. Let z(v) = -v - 4. Let t(g) = j*f(g) - z(g). Differentiate t(p) with respect to p. 1 What is the second derivative of 12*w**2 + 12*w + 225 - 225 wrt w? 24 Suppose -6 = -5*r + 4. Let p = 0 + 3. Differentiate -d + r + 0*d + p*d wrt d. 2 Let z(y) be the first derivative of -17*y**5/5 + 29*y**2/2 + 8. Find the second derivative of z(q) wrt q. -204*q**2 Let q be 2/(-5) - (-27)/5. What is the third derivative of o**q - 3*o**5 + 6*o**2 - 3*o**2 wrt o? -120*o**2 Let t be (-3)/(3/(-5)) - 3. Differentiate -5*u - 1 - t + 2*u with respect to u. -3 Let s = 17 - 6. Suppose -2 + s = 3*c. Find the second derivative of -2*u**c + 4*u**3 + 0*u**3 - 4*u - 3*u**3 wrt u. -6*u Let z(f) be the third derivative of -13*f**8/168 + f**6/120 - f**5/6 - f**4/6 + 29*f**2. What is the third derivative of z(h) wrt h? -1560*h**2 + 6 Let m(q) = q**2 - 22. Let o be m(0). Let g(y) = 4*y**3 - 11*y + 9. Let c(l) = -l + 1. Let u(s) = o*c(s) + 2*g(s). Differentiate u(z) with respect to z. 24*z**2 Let o = 1 - -2. Suppose 4*h = o*h. What is the first derivative of 0 + d + 1 + h wrt d? 1 Let t(l) = 10*l**2 - 2*l + 3. Let s(i) = -i**2 - 1. Let n(d) = 3*s(d) + t(d). Find the second derivative of n(w) wrt w. 14 Let k(i) = -35*i + 22. Let x(s) = -36*s + 22. Let w(p) = 5*k(p) - 4*x(p). Differentiate w(l) with respect to l. -31 Let j(x) be the first derivative of x**4/4 + 5*x**2/2 + 3. Find the second derivative of j(u) wrt u. 6*u Suppose 0 = k - 3. What is the second derivative of 3*u**3 + 5*u**k - 2*u - 7*u**3 wrt u? 6*u Let v(m) be the second derivative of 3*m - 7/2*m**2 + 2/3*m**4 + 0 + 0*m**3. Differentiate v(x) with respect to x. 16*x Let m be 9/(-21) - (-48)/14. What is the second derivative of -6*q**5 + 15*q**5 + q - 3*q - m*q wrt q? 180*q**3 Let t(s) = -19*s - 5. Let a(w) be the third derivative of 13*w**4/24 + w**3/2 - 4*w**2. Let c(v) = 7*a(v) + 5*t(v). Differentiate c(d) with respect to d. -4 Let y = -1 + 5. What is the derivative of p**4 - y + 1 + 3 + 4 wrt p? 4*p**3 Let n(i) be the third derivative of -i**6/15 - 7*i**3/3 + 20*i**2. What is the derivative of n(w) wrt w? -24*w**2 Let i(n) be the third derivative of -n**8/20160 - n**6/72 + n**5/20 + 9*n**2. Let z(r) be the third derivative of i(r). What is the derivative of z(s) wrt s? -2*s Let d(g) = g**2 + 8*g. Let q be d(-8). Suppose -4*l + 13 + 7 = q. Differentiate 0 - l*o**3 + 4*o**
{ "pile_set_name": "DM Mathematics" }
ecimal places. 0.23 Suppose -1794 = 3*j + 3*q, -4*j - 13 = q + 2391. Let o be -1 - -2 - (-1004 - 7). Let h = o + j. What is h rounded to the nearest 100? 400 Let d = -31728 - -31722.999988. Let m = 5 + d. What is m rounded to five dps? -0.00001 Let m = 11.87323 + -11.0729. Let q = m - 0.8. What is q rounded to 4 decimal places? 0.0003 Let n = 20 + -16. Suppose -3*m + 2*h + 1740006 = n*h, -h + 2900003 = 5*m. Round m to the nearest 100000. 600000 Let i = -0.05 - -0.0500006. Let n = i - 0. Round n to 6 dps. 0.000001 Let b = -59 + 129. Let p = 4421793450.99999874 - 4421793381. Let t = p - b. What is t rounded to 7 dps? -0.0000013 Let r = -0.21 + 0.38. Let o = r - 7.67. Let g = 10 + o. Round g to the nearest integer. 3 Let c(a) = a**2 + 2*a - 3. Let m be c(-4). Suppose 2*h - 57 = n, 3*n + 163 = -n - m*h. Round n to the nearest ten. -50 Let k = 0.2 - -14. Round k to the nearest integer. 14 Suppose -l = -2*f + 5, -f = 5*l + 4 - 1. Suppose 2 = -f*o + 10, 5*o = -4*h - 1540. Round h to the nearest 100. -400 Let k be ((-1)/3)/(19/(-798)). What is k rounded to the nearest 10? 10 Let t be 22/121 - 18040004/22. Round t to the nearest 100000. -800000 Let f = 0.01 - 0.0100024. Round f to six dps. -0.000002 Let z = -1.7 - -14.2. Let g = z - 28.9. Let t = -6.1 - g. Round t to zero decimal places. 10 Let q = -57282.1994388 + 87.6487988. Let h = q - -56932.5506209. Let g = h - -262. Round g to six dps. -0.000019 Let g = -1147 + 1147.000529. Round g to 4 dps. 0.0005 Let q(d) = 3*d - 3*d + d + 2326*d**2 + 4*d - 9. Let l be q(7). What is l rounded to the nearest 10000? 110000 Let v = -3067358 + 3067340.89927. Let i = v - -17.1. Round i to 4 decimal places. -0.0007 Suppose 0*z + 2*z - 2 = 0. Let q = z - 4. What is q rounded to the nearest 10? 0 Let z(x) = -11*x - 16. Let m be z(8). Let s be m/2 + 13 + -11. Round s to the nearest one hundred. -100 Let t = 20.83 + -21. Let s = 0.155 + -0.07. Let v = t + s. What is v rounded to two decimal places? -0.09 Let u = -26 - -46.6. Let l = -25 + u. What is l rounded to zero dps? -4 Let q(v) = v**2 + 3*v + 4. Let o be q(-3). Suppose -5*a - 124001 = -3*i, -3*i = -5*a - o*i - 123993. Let b = a + 44799. What is b rounded to the nearest 100000? 0 Let i = -6 - -1. Let a be (-34)/(-10) - (-2)/i. Let b be 2320*a*(-2500)/3. What is b rounded to the nearest one million? -6000000 Suppose -3*d - 2 = 10. Let f = d + 9. Suppose 0 = 3*l, -5*h = -h + f*l - 120. Round h to the nearest ten. 30 Let c be 247767/((-2)/(-3 + 1)). Suppose -5*u + 402233 = -c. Round u to the nearest 100000. 100000 Let d = 0.022 + 0.055. Let z = d - 0.011. What is z rounded to 2 decimal places? 0.07 Let i = 8491 - 8488.9995. Let s = -2 + i. Round s to 4 decimal places. 0.0005 Let l = 201009 + -201005.40042. Let u = -3.6 + l. Round u to four decimal places. -0.0004 Let g = 0.73 - 1.2. What is g rounded to 1 decimal place? -0.5 Let m = 13.1 + -13.67. Let v = 0.5700027 + m. Round v to 6 decimal places. 0.000003 Let c = 1.5127 + 8.3966. Let o = -60.8603 + c. Let f = o - -51. What is f rounded to two dps? 0.05 Let b = 5.554 - -0.046. Let m = b - 6. What is m rounded to zero dps? 0 Let q(a) = -521917*a - 1. Let l be q(9). Let j = l - 202746. What is j rounded to the nearest 1000000? -5000000 Let d = 0.7 - 0.69999978. Round d to seven decimal places. 0.0000002 Let m = -0.098 - -0.09800063. What is m rounded to seven decimal places? 0.0000006 Let t = -0.398 + 0.48. What is t rounded to two dps? 0.08 Suppose -16 = -4*l, 1 = -2*w + l - 1. Let u be (-23)/(-2 - -4 - w). Let k = u - -16. Round k to 0 decimal places. -7 Suppose 3*a - 27538 - 2384 = 0. Suppose -a - 6026 = 4*j. Let t be (-9)/(18/(-4400))*j. Round t to the nearest 1000000. -9000000 Suppose 0 = -4*b - 7*z + 2*z - 201975, 202005 = -4*b + z. Round b to the nearest ten thousand. -50000 Let i be 1839 + (-1 - 3) + 5. Suppose -d - 5*s = -i, 8*d - 9108 = 3*d - 2*s. Round d to the nearest 100. 1800 Suppose 5*p - 2*p = 15. Suppose p*i = 176083 + 168917. What is i rounded to the nearest 10000? 70000 Let h = -0.132 - -160.132. Let q = -160.073 + h. Round q to 2 decimal places. -0.07 Let j = -887162.029 + 887072.0289929. Let u = -21 - -111. Let a = u + j. Round a to six decimal places. -0.000007 Let z = 0.8 + -13.8. Let b = -169.6 + 191. Let p = z + b. What is p rounded to the nearest integer? 8 Let g = -149404.58811 + 149403. Let a = 0.8125 - g. Let l = a + -2.4. Round l to 4 dps. 0.0006 Suppose 0 = -h + 3*h + 2. Let z(d) = 40000*d**3 - d**2 + d + 2. Let g be z(h). Round g to the nearest 10000. -40000 Let f = -44 - -44.021. What is f rounded to three dps? 0.021 Suppose 5379 + 64621 = 5*s - 4*i, -4*s - 4*i = -56000. What is s rounded to the nearest 1000? 14000 Let a = -365.202 - -369.2. Let k = a + -4. Round k to 3 decimal places. -0.002 Let k = 36 - 41.6. Let l = 6.9 - k. What is l rounded to the nearest integer? 13 Let j be 0 - (-5 + 2 - 1). Suppose -g + 110512 = 5*f - 48450, -j*g = -3*f + 95391. Suppose -2*s + f = 9593. Round s to the nearest 1000. 11000 Let i = 0.0664 + -5.6364. Let x = -0.03 + i. Let q = -5.59947 - x. Round q to 4 dps. 0.0005 Let z = 86.099 - 86. What is z rounded to 1 dp? 0.1 Let s(f) = -15999*f + 2 - 10 + 5. Let i be s(3). Round i to the nearest ten thousand. -50000 Let a = -898824.99948 + 898857. Let j = -32 + a. Round j to four dps. 0.0005 Let r = 3 - 3.004. Let v = 0.053 - 0.02. Let l = r + v. Round l to 2 dps. 0.03 Suppose 4*d + 91851295 = -5*g, -d + 18370250 = -3*g + 2*g. Let j = -10970255 - g. What is j rounded to the nearest one million? 7000000 Let o(q) = 49335*q + 25. Let p be o(-15). Round p to the nearest 100000. -700000 Let d = 1129 - 729. Suppose 2*k = k - d. Round k to the nearest one thousand. 0 Let n = -26 + 24.2. Let a = 1.846 + n. What is a rounded to 2 dps? 0.05 Let c = -60.930016 - -60.9. Let q = -0.03 - c. What is q rounded to five dps? 0.00002 Suppose 0*o - 4*o + 31336368 = 0. Suppose t + o = -3765908. Round t to the nearest 1000000. -12000000 Let r = 4.719873 + 0.279787. Let c = r + -5. Round c to four dps. -0.0003 Let f = 58.000001 + -58. What is f rounded to 6 dps? 0.000001 Let h = 31.9768 - 32. What is h rounded to three decimal places? -0.023 Let u = -2 + -4. Let n = u - -5.999. Let w = 0 - n. What is w rounded to three dps? 0.001 Let l = -4.14 - -3.218. Let a = -1.562 + 1.6. Let v = a - l. What is v rounded to 1 dp? 1 Let m = 657397737.999936 + -657421356. Let x = m - -23617. Let s = 1 + x. What is s rounded to 5 dps? -0.00006 Suppose -s - 2 = -4. Suppose s*w - o - 2 = 0, 2*o + 3 + 2 = 3*w. Let l be (2/2)/(w/830). Round l to the nearest 100. -800 Suppose 0 = -3*z + 6 + 9. Suppose -5*o + 3*a = a - 24987, 0 = -z*o - 2*a + 24983. Let r be (-9)/6*-2 + o. Round r to the nearest 10000. 10000 Let u = -9 - -15. Let h be 1/(-2) - 645/u. What is h rounded to the nearest 10? -110 Let s(g) = -100*g**3 + g - 2. Let i be (1 - 4/1) + -2. Let u be (-6)/15 + (-12)/i. Let k be s(u). Round k to the nearest one thousand. -1000 Let s = -10.6 - -12.11. What is s rounded to 1 dp? 1.5 Let v = -216 + 215.9849. What is v rounded to 3 decimal places? -0.015 Let p = 0.04 - 0.42. Let g = p + 0.472. What is g rounded to 2 dps? 0.09 Let l = 2259 - 5859. What is l rounded to the nearest one thousand? -4000 Let t = 12914.6062 - 12924.60619984. Let i = -10 - t. What is i rounded to seven dps? -0.0000002 Let o = -11 - -11. Let z(x) = x**2 + 2*x - 1480000. Let i be z(o). What is i rounded to the nearest one hundred thousand? -1500000 Let l(u) = 23*u**3 - 2*u**2 + 1. Let b be (2 - 0) + 0 + -4. Let i be l(b). What is i rounded to the nearest 10? -190 Let i(a) = 50*a**2. Let s be i(-2). Suppose -j + s = j. Round j to the nearest 1000. 0 Let z = -1.4 + 1.40000138. What is z rounded to 7 dps? 0.0000014 Suppose -3*x = -s - 4*s - 25, -6 = -2*x - 2*s. Suppose 0*c = x*c + 30500000. Round c to the nearest 1000000. -6000000 Let h = -1.2 - -17.8. Let a = 5.4 + h. Let c = 22.00000017 - a. Round c to seven decimal places. 0.0000002 Let j = -1.19 + 24.99. What is j rounded to 0 dps? 24 Let x(z) = -z**2 - z. Let j(m) = -27*m**2 + 7*m - 6. Let q(t) = -j(t) - 2*x(t). Let d be q(-6). Round d to the nearest one hundred. 1100 Suppose q = 2*d + 10600003, -q = -2*d + 3*q - 10600012. Round d to the nearest one million. -5000000 Let y =
{ "pile_set_name": "DM Mathematics" }
Calculate (2373/678)/((-2)/(-4)). 7 What is 7/5*(15620/132)/(-71)? -7/3 (320/10)/(((-3)/(-2))/((-39)/(-52))) 16 Calculate (128/(-12))/16*24/8. -2 57/(3363/(-59))*-3*9 27 Evaluate (25/(-4))/((-2195)/1756). 5 Calculate (-7)/(-77)*429/351. 1/9 What is 560/896*(-5)/25? -1/8 (153/(-17)*(-10)/18)/(-2) -5/2 Evaluate (-588)/4410*50/(-8). 5/6 Calculate (2/7)/(-16*16/(-384)). 3/7 What is the value of ((-36)/((-240)/(-20)))/(36/(-8))? 2/3 Evaluate (-10)/33*(504/(-70))/12. 2/11 Evaluate (143/11)/((-175)/50*2/14). -26 What is -6*(-33)/110*-5? -9 7/(-2)*(-360)/(-420) -3 (-110)/180*2541/(-1331) 7/6 What is the value of 55*(-96)/120*(-2)/(-8)? -11 What is the value of 19/(16169/74)*46? 4 Calculate (-7800)/(-585)*18/15*1. 16 Calculate (25/30*1)/((102/36)/17). 5 Evaluate (6/(-10)*(-80)/32)/((-18)/156). -13 Evaluate (98/14)/(-63)*0. 0 Evaluate (8/84)/((-1344)/6272). -4/9 ((-20)/(-30)*(-30)/(-350))/(3/(-60)) -8/7 What is the value of ((-64)/(-6))/(64/(-192))? -32 What is the value of (4/(-126))/((-108)/(-252))? -2/27 What is the value of ((-10)/8)/((-54)/(-144))*-3? 10 Calculate 11*(-4)/(-88)*78/3*-1. -13 Calculate (8/(-20))/((-235)/(-25)). -2/47 Evaluate (-3)/((-18)/(-8))*2202/(-45508). 2/31 What is (((1/(-4))/1)/((-123)/(-328)))/3? -2/9 1/((4/(-14))/(184/322)) -2 (-1560)/(-4056)*4/(-10) -2/13 What is the value of (26/(-273))/((-16)/((-1920)/20))? -4/7 Calculate 468/819*14/20. 2/5 Evaluate (-3222)/179*1/2. -9 Calculate 7/294*4*-1. -2/21 (-93)/(-124)*32/30 4/5 What is the value of ((-6)/(-18))/((-8)/312)? -13 What is the value of (-1*164/369*3/4)/1? -1/3 Evaluate ((-36)/114)/((-80)/760). 3 Evaluate (3488/(-6540))/(2/(-15)). 4 Evaluate (11/(44/(-16)))/(((-11)/(-11))/5). -20 (20/(-816))/((-600)/960) 2/51 Calculate (35/63)/((-24)/((-864)/(-90))). -2/9 Evaluate ((-20)/40*12/(-3)*4)/(-2). -4 What is 13/104*56/(-4)? -7/4 Calculate (11/((-33)/(-9)))/(64/(-8)). -3/8 Calculate (-147)/21*39/(156/12). -21 What is ((-10)/(-6))/((-1)/3)*5/(-5)? 5 What is the value of -19*(-2)/2*((-918)/34)/27? -19 What is (10/100*2)/(1/45)? 9 (3/2*3/(-9))/(2175/300) -2/29 What is the value of ((12/10)/(42/70))/31? 2/31 Evaluate (-702)/819*(-2)/3. 4/7 What is the value of (118/590)/(-8*(-4)/(-1*20))? -1/8 ((-88)/(1320/(-30)))/(16/(-2)) -1/4 What is the value of (8/4)/((-680)/(-40))? 2/17 Calculate (((-275)/(-418))/25)/(1/(-8)*-2). 2/19 What is the value of (15/50)/((-420)/(-80))? 2/35 1*(24/(-9))/(-4)*210/(-196) -5/7 Calculate ((-19)/(-13))/(20/((-14820)/(-57))). 19 What is (23/3036*22)/(5*2/18)? 3/10 Evaluate ((-2)/((-42)/(-77)))/((-88)/(-528)). -22 What is 3*92/(-759)*-11? 4 What is 38/513*-3*(-9)/(-33)? -2/33 What is the value of (-24)/9*-6*(-6)/(-240)? 2/5 What is 42*21/9261*(-3)/24*-6? 1/14 What is the value of (-966)/(-3542)*(-22)/(-14)? 3/7 Calculate 1*-6*(-37)/(-222)*(-4)/1. 4 Evaluate (-141)/94*((-112)/(-6))/4. -7 What is (1/(-245))/((-277)/2770)? 2/49 What is the value of ((-112)/576)/(84/36)? -1/12 Evaluate 120/420*((-4)/(-2))/2. 2/7 Calculate (-6)/(-150)*9*550/(-165). -6/5 (65/13)/(15/33) 11 Calculate (-1*12/(-10))/((-1536)/(-25600)). 20 -7*(4/18)/((-17)/(-153)) -14 Calculate ((-6)/(-63)*(-6)/(-2))/((-152)/(-133)). 1/4 What is the value of (((-15)/(-5))/((-15)/10))/3? -2/3 Evaluate (230/138)/((-9)/(81/(-6))). 5/2 What is the value of (312/1170)/((-6)/225)? -10 (11/22)/(465/(-62)) -1/15 Calculate (((-432)/480)/(15/175))/(6/(-4)). 7 ((-687)/(-458))/((-11)/(-4)) 6/11 What is the value of (28*(-11)/44)/3? -7/3 (-2)/(-16)*6*1*80/48 5/4 Calculate 12*(-3)/(-54)*21. 14 ((-198)/60)/((-33)/220) 22 What is ((-1)/(-2))/(1*2/((-440)/(-10)))? 11 Evaluate (-3)/15*2*((-1380)/24)/23. 1 Calculate (-46)/(-184)*(-300)/175. -3/7 Calculate ((-14)/6*2)/((-33)/(495/(-10))). -7 Evaluate ((-12)/150*-5)/(8/50). 5/2 (-21)/196*(63/2)/9 -3/8 ((-4)/(-5))/(984/60) 2/41 Evaluate (-342)/(-228)*8/(-3). -4 Evaluate (-114)/(-4)*220/(-330). -19 What is (76/(190/(-5)))/((-2)/(-17))? -17 Calculate (((-8)/(-36)*-3)/10)/((-610)/(-7625)). -5/6 What is ((-10)/25)/((-11)/(-110))? -4 What is the value of 16/((-1760)/22)*95? -19 Evaluate (-23)/((-805)/1120)*1. 32 What is the value of (3/26)/((-537)/1432)? -4/13 Evaluate (8/(-7))/(30/560)*(-3)/(-2). -32 ((-477)/11925)/(1*4/10) -1/10 What is ((-6)/(-2))/(((-3)/(-3))/(19/19))? 3 What is 670/402*(-4)/3? -20/9 Evaluate (-4)/(-3)*(-4173)/(-1070). 26/5 Evaluate (((-756)/(-270))/(1/(-1)))/(4/10). -7 What is the value of (540/(-32))/(-9)*(-84)/(-210)? 3/4 Evaluate ((-4)/4)/((-15)/(-105)). -7 Evaluate 4/3*(30/(-70))/(4/2). -2/7 Calculate ((-88)/198)/(28/252). -4 (25920/2700)/(3/10) 32 What is 1042/6773*((-15)/(-6))/5? 1/13 (-4)/8*-10*4/(-14) -10/7 What is the value of (16/9)/(50/(-3150)*7)? -16 What is 2*(-5)/2*(-4)/20? 1 ((-9)/(720/64))/((-44)/(-10)) -2/11 What is the value of -44*108/(-264)*1/((-2)/4)? -36 What is 224/(-140)*35/40*-10? 14 (34/85*-35)/((-3)/((-9)/3)) -14 Calculate (2/1177)/(382/2101)*-2. -2/107 Calculate (520/(-624))/((-2)/(-4)). -5/3 ((-75)/(-30))/5*528/((-16)/2) -33 What is (6/9*(-9)/12)/(437/4370)? -5 Evaluate (-28)/1*33*(-33)/(-2178). -14 Evaluate ((-802)/2406)/((-2)/(-15)). -5/2 What is the value of ((-2)/(-32))/(264/352)? 1/12 What is ((6/(-46))/(-3))/(((-284)/4)/(-71))? 1/23 ((-1)/((-7)/4))/(3/(-252)*-6) 8 ((-385)/(-105))/(2/6) 11 What is ((-2)/(-148))/((-64)/128)? -1/37 Calculate (-2)/(10/(-15))*13*(-77)/(-91). 33 Evaluate (2223/(-26))/(-57)*((-9)/3)/18. -1/4 (16/(-4))/((-84)/378) 18 What is the value of -1*(-2)/(-2)*(-515)/(-1030)? -1/2 What is the value of (2/(-14)*-7)/((-3)/(-6)*-2)? -1 What is (((-216)/16)/3)/(6/(-12))? 9 24*24/223200*25 2/31 Calculate ((8/(-32))/((-9)/(-30)))/((-6)/8). 10/9 (5/(625/(-15)))/((-7)/(350/(-5))) -6/5 Calculate -24*(6/(-27))/((48/(-18))/(-4)). 8 -21*(-48)/(-64)*(-16)/(-12) -21 What is ((10/540*-6)/(-1))/(13/(-6))? -2/39 What is the value of 8/2*(-245)/70? -14 -2*-3*((-16)/48)/(4/(-26)) 13 (-879)/(-2344)*1/((-3)/(-40)) 5 What is the value of (((-4)/(12/75))/1)/(132/132)? -25 (12/3)/2*(-104)/16 -13 602/(-344)*(-7)/(-49) -1/4 Evaluate -2*7/70*(-6)/((-72)/(-10)). 1/6 Evaluate (340/(-51))/((-56)/84). 10 What is the value of (10*(-14)/23030)/(2/(-14))? 2/47 What is (1068/(-9968))/((-5)/20)? 3/7 25/2*8/90 10/9 What is (1/3)/((5310/648)/59)? 12/5 ((-5)/39)/((-1155)/(-1386)) -2/13 Calculate (-2)/(-18*10/(-30)*(-8)/(-96)). -4 What is (57/(-152))/((-8)/(320/(-25)))? -3/5 Calculate 1152/54*3/4. 16 What is 5/(-1440)*4*54/18? -1/24 What is the value of ((-52)/(-156))/(28/36)? 3/7 What is the value of (-1*2)/(-4)*48/8*-1? -3 What is the value of ((-104)/(-39))/((-102)/765)? -20 ((-20)/(-40))/(((-66)/204)/(-11)) 17 What is (3/(-2))/(-4*18/192)? 4 ((17928/96)/83)/(6/8) 3 What is (0*(-12)/168)/((-14)/(-2))? 0 What is (7/(28/8))/((-23)/(-92))? 8 ((-3)/4)/((-2)/((-120)/(-18))) 5/2 What is (((-60)/16)/5)/(144/48)? -1/4 Evaluate (-64)/(-104)*141/188. 6/13 Evaluate ((-78)/(-13))/6*-12*8/6. -16 Calculate ((-10)/8)/(230/(-1104)). 6 Evaluate 1*-2*(-15)/(-120). -1/4 Calculate (2100/(-180))/(5/(-6)). 14 Calculate (-8)/20*7/(126/45). -1 What is (-7)/(-3)*119/((-16660)/(-480))? 8 Evaluate 2496/312*5/(-4)*6/4. -15 What is ((-5)/4)/(1155/7392)? -8 (-202)/(-101)*9/333 2/37 What is (2/8)/((30975/236)/(-15))? -1/35 What is (-4)/((-48)/(-2))*(-13)/((-130)/(-15))? 1/4 Calculate (((-2)/(-8))/(9/24))/((-32)/(-80)). 5/3 (-30)/230*(-2)/(-6) -1/23 What is the value of (21/(-5))/((-81)/135)? 7 Evaluate (-48)/(-9)*1386/(-231). -32 Calculate (-2275)/(-105)*3/5. 13 Calculate (876/511)/(-16*(-1)/42). 9/2 Evaluate 10/(-4)*(-56)/70*(-3)/(-6). 1 Evaluate ((-7)/35)/((288/(-40))/4). 1/9 (-8)/50*-42*(-180)/3024 -2/5 Evaluate (-28)/(1344/(-36))*(-104)/6. -13 Evaluate ((-1)/(14/(-4)))/((-20)/(-1120)*32). 1/2 What is the value of ((-408)/748*22/2)/(6/8)? -8 Calculate (2607/1738)/((-3)/2)*20*1. -20 What is the value of (-15)/195*(8/36)/(6/54)? -2/13 Calculate 2/5*130/(-208). -1/4 Calculate (6*8/216)/(6/9). 1/3 (3/15)/((-4)/200*-10) 1 (-6)/18*21/(-77) 1/11 (2/(60/26))/(-5*10/150) -13/5 Evaluate (-8)/(-840)*-6*10*2/(-4). 2/7 Evaluate 21/((-4851)/(-22))*3/(9/7). 2/9 Evaluate (-10*1/14)/(-1). 5/7 Evaluate (4/(-6))/((-40)/30)*20. 10 Evaluate -2*((-2)/8)/(56/(-112)). -1 (11*(-32)/528)/3 -2/9 What is the value of ((-640)/(-192))/((-7)/(294/(-35)))? 4 Evaluate (220/462)/(6*(-3)/(-27)). 5/
{ "pile_set_name": "DM Mathematics" }
-8333779.604171430558 + 5.604182630558. Let v = 8333786 + l. Let n = 12 - v. Round n to 6 dps. -0.000011 Let h = -6299.75 - -6557.203. Let a = -245.47 + h. Let z = 12 - a. What is z rounded to two decimal places? 0.02 Let o(a) be the first derivative of 0*a**2 - 3 + 0*a**3 + 69/4*a**4 - a. Let k be o(-1). What is k rounded to the nearest 10? -70 Let u = -0.0290042 - -0.029. What is u rounded to six dps? -0.000004 Let l(b) = 22223*b**2 + 2*b - 1. Let q be l(-3). What is q rounded to the nearest one hundred thousand? 200000 Suppose 3*i + 3622102 = -4*k + 10542117, 3*i + 8649985 = 5*k. Round k to the nearest 100000. 1700000 Let m = 1.42 - -0.01. What is m rounded to one dp? 1.4 Suppose -3*m = 4*m - 18200. Round m to the nearest 100. 2600 Let h = -675.07 - -680. Let g = h + 15.77. Round g to the nearest integer. 21 Let b = -4743.3904 + 2135.2107. Let q = -2568.179666 - b. Let h = 40 - q. What is h rounded to five decimal places? -0.00003 Let c = 2.8 + -2.8000105. What is c rounded to 6 dps? -0.000011 Let i(l) = -19542*l + 38. Let x be i(-11). What is x rounded to the nearest 10000? 220000 Suppose 156 = 2*v + 3*p, 0*v + v - 100 = 4*p. Round v to the nearest ten. 80 Let k = 0.62 + 0.34. Let s = -0.92 - k. Round s to 1 dp. -1.9 Let a = 1471577 - 761577. Round a to the nearest one hundred thousand. 700000 Let f = 17180 - 11880. Round f to the nearest 1000. 5000 Let i = -3.7 - -31.7. Let w = 28.0013 - i. Round w to three decimal places. 0.001 Let c = -4 - -4. Suppose -o = -c*o. Let r be 2560/((-4)/16250 - o). Round r to the nearest one million. -10000000 Let a(x) = 27778*x**2 - 8. Let q be a(6). What is q rounded to the nearest one hundred thousand? 1000000 Let p(o) = -8*o**3 + 11*o**2 - 6*o - 5. Let f be (-3)/(-3*(-3)/12). Let c be 1*(2 + f - -11). Let l be p(c). What is l rounded to the nearest 1000? -5000 Let l = -305571 - 794429. Round l to the nearest 100000. -1100000 Let t = 3179894444 - 3179894551.93870085. Let n = t + 107.8787. Let h = n - -0.06. What is h rounded to 7 dps? -0.0000009 Let w = -1052832965273.0000025 - -1052831248109. Let f = -1717162 - w. Let b = f + -2. Round b to six decimal places. 0.000003 Let s = 0.134 + 6.966. What is s rounded to zero dps? 7 Let i(v) = -13*v**2 - 5*v - 3. Let k be i(4). Let l = k - -31. Let h = l + 110. Round h to the nearest one hundred. -100 Let y = -2.51257 - -2.51. What is y rounded to 4 dps? -0.0026 Let s(i) be the second derivative of 0 - 93/2*i**3 - 2*i - 5/2*i**2. Let c be s(5). Round c to the nearest 1000. -1000 Let n = 12.181 - 12. Round n to one decimal place. 0.2 Let t(f) = -f**2 + 10*f - 11. Let m be t(9). Let k be (-2 - -1)*m*2. Round k to the nearest 10. 0 Suppose 8 = -4*w, 4*z + 3*w + 28010 = -2*w. What is z rounded to the nearest 10000? -10000 Let k = -1.716 + 2.857. Let w = -0.131 + k. What is w rounded to 1 decimal place? 1 Let n(l) = 26*l**3 + 8*l**2 - 6*l - 8. Let h be n(-6). Round h to the nearest one thousand. -5000 Suppose 2400009 = -3*d + 4*d + 3*b, 2*d + 4*b - 4800012 = 0. What is d rounded to the nearest 1000000? 2000000 Let f be -10*(-3 + 2 - -2). Let t be f/(-6) + (-4)/6. Let a be (-9 + t)/((-8)/(-39000)). Round a to the nearest 10000. -40000 Let j = 107 + -107.07. What is j rounded to one decimal place? -0.1 Suppose 0 = -7*i + 2*i + 30. Let l be i/9*-3 + 2600002. Round l to the nearest 1000000. 3000000 Let j = 128004 + -128003.640047. Let o = 0.36 - j. What is o rounded to 5 decimal places? 0.00005 Let l = 2.9 - 8.4. Let r = -6 - l. Let a = -2 - r. Round a to 0 dps. -2 Let o(j) = -5 + 0 - 7857*j + 3 + 0. Let x be o(14). Round x to the nearest 10000. -110000 Suppose 4*d = 4*h + 124400, -d + 93300 = 2*d + 4*h. What is d rounded to the nearest ten thousand? 30000 Suppose -1 = -o, l - 4*o = -2 - 2. Suppose -11166 - 53842 = 5*d + 4*m, -3*d - 4*m - 39008 = l. Round d to the nearest 1000. -13000 Let x = -0.0459 + -227.9541. Let v = 155 + x. Let a = v - -72.99999959. Round a to seven decimal places. -0.0000004 Let k = 106 - 1. Let j = k + -105.061. Round j to 2 decimal places. -0.06 Let c(n) = -293*n**3 + 7*n**2 + 5*n + 6. Let a be c(6). What is a rounded to the nearest 10000? -60000 Let h = 1676824563 + -1676824489.9999961. Let d = -73 + h. What is d rounded to six dps? 0.000004 Let f = -381 - -270. Round f to the nearest 10. -110 Let l = -3 - -41. Let q = -38.068 + l. Round q to two decimal places. -0.07 Let o = -145499.9776 + 29.1276. Let c = -145471.09000052 - o. Let h = c + 0.24. Round h to seven dps. -0.0000005 Let p(v) = -3*v**3 - 2*v + 2*v + 3*v. Suppose -2*z + 3*d - 4 = 0, -3*z - 5*d = -d - 28. Let o be p(z). What is o rounded to the nearest 100? -200 Let b(s) = 105*s**2 - s + 26. Let t be b(6). What is t rounded to the nearest one thousand? 4000 Let a = 18.1 + -1688.1. Let t = a - -1600.58. Let p = t - -70. Round p to 1 dp. 0.6 Let r(b) = 14*b. Let f be r(-2). What is f rounded to the nearest 10? -30 Let x = -27.9179 + 27.9. Round x to 3 dps. -0.018 Let j = 0.4 + -26.96. Let a = j - -27. What is a rounded to 1 dp? 0.4 Let g = 802.000443 + -802. Round g to 5 dps. 0.00044 Suppose 2*v = 4*v - 54416066. Let s = -15223172 + v. Suppose -p + 2*o - s = -4584871, 0 = -3*p - 5*o - 22200025. Round p to the nearest one million. -7000000 Let w = -2.14 + 2. Let i = w - -5.54. Round i to the nearest integer. 5 Let j = -5.4 - -5. Let k = j + 0.39999987. What is k rounded to 7 decimal places? -0.0000001 Let s = -35.5 + 28. Round s to zero dps. -8 Let y = -3 + 2.95. Let w = y + 0.12. Let m = w + -0.070078. Round m to 5 decimal places. -0.00008 Let h = -205420 + 205315.929. Let i = h + 104. Round i to two dps. -0.07 Let j = 63.00000054 - 63. What is j rounded to seven dps? 0.0000005 Let z = 442537 + -248770. Suppose z = t - 146233. What is t rounded to the nearest 100000? 300000 Suppose -5*u + 10 = 0, 0 = 4*m - 2*u - u - 2415994. What is m rounded to the nearest 10000? 600000 Suppose 75719 = -5*c - 624281. What is c rounded to the nearest 100000? -100000 Let a(q) = q + 3. Let l be a(1). Suppose 0 = -0*f + l*f + 22800000. Round f to the nearest one million. -6000000 Suppose 3*s + 0*m = 2*m + 438002, -5*s - m + 729999 = 0. Round s to the nearest ten thousand. 150000 Let h = 112931.02999975 + -112931. Let y = 0.03 - h. Round y to 7 dps. 0.0000003 Let j = -1.3 - 18.7. Let i = 20.00017 + j. Round i to four dps. 0.0002 Let u = -12.699999715 - -12.7. Round u to 7 decimal places. 0.0000003 Let l = -37179 + 37145.974. Let a = 40.3 - 7.3. Let p = a + l. What is p rounded to 2 decimal places? -0.03 Suppose -h - 41091 = 2*h + 3*x, 41103 = -3*h + x. What is h rounded to the nearest one thousand? -14000 Let p be 1 + (2 + 1)*-1. Let f be (-3)/(-6) + 51/p. Let w be f/((-671)/(-672) + -1). Round w to the nearest one thousand. 17000 Let i = -134 - -134.00045. What is i rounded to 4 dps? 0.0005 Let h = -179.663 + -0.337. Let q = h - -180.00000177. Round q to seven dps. 0.0000018 Suppose o + 6 = 4*o. Let i(x) = -64 + 65 + 0*x - x. Let d be i(o). What is d rounded to the nearest integer? -1 Let s = -69693 + 69692.9699988. Let b = s + 0.03. Round b to six dps. -0.000001 Let j = 1.4 + -0.4. Let r = j + -0.994. What is r rounded to 2 dps? 0.01 Let d be 43500*(2 - (688/(-6))/(-4)). Round d to the nearest one hundred thousand. -1200000 Let w = 3 + -3.04. Let v = 1085.039996 - 1085. Let k = v + w. What is k rounded to 6 decimal places? -0.000004 Let x = -0.08 + -0.42. Let s = -0.38 - x. Let n = s - -0.1. Round n to 1 dp. 0.2 Let c be (3 - 1 - 3)*9. Let l(q) = q**2 + 12*q - 3. Let v be l(c). Round v to the nearest ten. -30 Suppose 5*n - 10 - 10 = 0. Let k be (10/(-4))/(n/(-384)). What is k rounded to the nearest 100? 200 Let o = -35 - -34.946. Let p = o + -5.546. What is p rounded to the nearest integer? -6 Let h = 0.06 - 0.02. Let j = -4.54 + h. Round j to the nearest integer. -5 Let j = -4.08 + 4. Let r = -0.0800041 - j. Round r to 6 decimal places. -0.000004 Let q = 0.4400116 - 0.44. What is q rounded to six decimal places? 0.000012 Let g = -64 + 34. What is g rounded to the nearest ten? -30 Let r = 1316056 + -916056. Round r to the nearest one million. 0 Let l = 1074637.9450033 + -1074638. Let u = 5.945 + -6. Let b = l - u. Round b to 6 decimal places. 0.000003 Suppose 38024 + 50737 = 4*s - 5*d, d = -4*s + 8877
{ "pile_set_name": "DM Mathematics" }
5, -2291, -2301, -2315? -2333 What comes next: -45, -57, -75, -99, -129, -165? -207 What is next in 6038, 6039, 6042, 6047, 6054, 6063, 6074? 6087 What is the next term in 141, 256, 359, 444, 505, 536, 531, 484? 389 What comes next: -1151, -2303, -3455, -4607, -5759? -6911 What comes next: 188, 257, 324, 389, 452, 513? 572 What is next in 27, 56, 89, 126, 167, 212? 261 What is the next term in -112, -140, -168? -196 What is next in -7474, -7480, -7490, -7504, -7522? -7544 What is the next term in -1219, -1217, -1229, -1261, -1319? -1409 What is next in -2716, -5454, -8194, -10936, -13680? -16426 What comes next: 6276, 6279, 6284, 6291, 6300? 6311 What comes next: 3, -5, -19, -39, -65, -97? -135 What is next in 126, 257, 398, 555, 734, 941? 1182 What is next in 28, 65, 102? 139 What comes next: 110, 122, 132, 140? 146 What is next in -6, -40, -136, -324, -634? -1096 What comes next: -8, -15, -22? -29 What is the next term in 1818, 3638, 5458, 7278, 9098? 10918 What is next in -1217, -1244, -1269, -1292? -1313 What is the next term in 7, -16, -59, -122, -205, -308, -431? -574 What is next in -3, 5, 11, 9, -7, -43, -105? -199 What is next in 1015, 1013, 1011, 1009, 1007, 1005? 1003 What is the next term in 14, 16, 16, 14, 10? 4 What is next in -235, -237, -239, -241, -243? -245 What is the next term in 105, 419, 941, 1671, 2609? 3755 What is next in 103, 99, 95? 91 What comes next: 37, 187, 453, 835? 1333 What is the next term in 7, 19, 31? 43 What is the next term in 9, 5, -9, -39, -91, -171, -285? -439 What comes next: -547, -546, -545, -544, -543? -542 What is next in 4015, 8032, 12049, 16066, 20083, 24100? 28117 What is next in -124, -142, -160, -178, -196, -214? -232 What comes next: -55, -25, 5, 35? 65 What is next in 41, 36, 33, 32? 33 What comes next: 63, 128, 193, 258? 323 What comes next: -15, -7, 1, 9, 17, 25? 33 What is the next term in 152, 131, 110, 89? 68 What comes next: -35, -79, -131, -191, -259, -335, -419? -511 What is next in -76, -89, -102, -115, -128? -141 What is next in -296, -568, -840? -1112 What comes next: -63, -186, -415, -804, -1407, -2278, -3471? -5040 What is the next term in 415, 416, 419, 424, 431? 440 What is the next term in 1174, 1174, 1182, 1204, 1246? 1314 What is the next term in -60, -66, -72, -78, -84, -90? -96 What comes next: -10, -28, -52, -82, -118, -160, -208? -262 What is next in 47, 177, 389, 677, 1035, 1457, 1937, 2469? 3047 What is next in 496, 996, 1494, 1990, 2484, 2976, 3466? 3954 What is the next term in -8, -6, -4? -2 What is next in -160, -163, -166, -169, -172, -175? -178 What comes next: -58, -99, -126, -133, -114, -63, 26? 159 What is the next term in 756, 1500, 2230, 2940, 3624, 4276, 4890, 5460? 5980 What comes next: -1272, -5072, -11406, -20274? -31676 What comes next: 21, 41, 95, 201, 377, 641? 1011 What is next in 8230, 8229, 8228, 8227? 8226 What is next in 138, 151, 188, 261, 382? 563 What is next in -35, -64, -111, -188, -307, -480, -719? -1036 What is next in 290, 293, 296? 299 What is the next term in -39, -85, -131, -177, -223, -269? -315 What comes next: -285, -559, -827, -1089, -1345, -1595, -1839? -2077 What is next in -45, -43, -33, -9, 35, 105, 207? 347 What is the next term in 53, 105, 157, 209? 261 What comes next: 130, 262, 394, 526? 658 What is the next term in -3, -14, -21, -24, -23, -18? -9 What comes next: 6, -8, -38, -90, -170, -284, -438? -638 What is next in -1, -5, 3, 29, 79? 159 What comes next: -1475, -1471, -1465, -1457? -1447 What comes next: 1647, 1649, 1653, 1659? 1667 What is next in 136, 1157, 3930, 9331, 18236? 31521 What is the next term in -125, -186, -255, -338, -441, -570? -731 What is the next term in -5, -31, -71, -131, -217, -335? -491 What comes next: 37, 69, 101, 133, 165, 197? 229 What comes next: -71, -70, -69, -68, -67, -66? -65 What is the next term in 23, 14, -27, -118, -277, -522, -871? -1342 What is next in 56, 75, 106, 149, 204? 271 What is the next term in -7041, -7042, -7043, -7044, -7045? -7046 What comes next: 5, 7, -1, -25, -71, -145, -253? -401 What comes next: -246, -477, -706, -933, -1158? -1381 What is the next term in 254, 525, 808, 1109, 1434, 1789, 2180? 2613 What is the next term in 384, 795, 1206? 1617 What is the next term in 853, 862, 877, 898, 925, 958, 997? 1042 What is next in 124, 274, 426, 580? 736 What is next in 4935, 4936, 4937, 4938, 4939, 4940? 4941 What is next in 7, 7, 9, 13, 19, 27, 37? 49 What is the next term in -48, -113, -202, -327, -500, -733, -1038? -1427 What is next in -214, -219, -234, -265, -318? -399 What is the next term in 213, 197, 179, 159, 137? 113 What is the next term in 5, 12, 35, 86, 177, 320, 527, 810? 1181 What is next in -838, -1674, -2510, -3346, -4182, -5018? -5854 What is next in 31, 48, 67, 88, 111, 136? 163 What comes next: 672, 665, 648, 615, 560, 477? 360 What is the next term in 16, 37, 84, 169, 304, 501, 772, 1129? 1584 What is next in 3475, 6950, 10425, 13900? 17375 What is the next term in -116, -223, -328, -431, -532, -631? -728 What comes next: -30, -27, -24, -21, -18, -15? -12 What comes next: -553, -1109, -1663, -2215, -2765, -3313? -3859 What is next in -249, -505, -761, -1017, -1273, -1529? -1785 What is the next term in -73, -78, -83, -88, -93, -98? -103 What is next in -63, -235, -513, -891, -1363, -1923? -2565 What is next in 39, 62, 85? 108 What is the next term in 27, 26, 15, -12, -61, -138? -249 What is the next term in 36, 71, 104, 135, 164, 191? 216 What is next in -246, -267, -288? -309 What is the next term in 44, -44, -204, -448, -788? -1236 What comes next: 36, 74, 112? 150 What is next in 225, 452, 681, 912, 1145, 1380, 1617? 1856 What is the next term in -129, -257, -387, -519, -653, -789, -927? -1067 What comes next: -42, -67, -78, -69, -34, 33? 138 What is next in -7, -86, -291, -682, -1319, -2262, -3571? -5306 What is the next term in -8091, -16182, -24271, -32358, -40443? -48526 What comes next: 317, 636, 955, 1274, 1593, 1912? 2231 What comes next: 28, 24, 16, 4, -12, -32, -56? -84 What is the next term in 10, 19, 24, 19, -2, -45? -116 What comes next: 2, 10, 8, -10, -50, -118? -220 What is the next term in -40, -76, -112, -148, -184, -220? -256 What is the next term in -1808, -1888, -1954, -2000, -2020, -2008? -1958 What is the next term in 1442, 1446, 1448, 1448, 1446? 1442 What is next in -246, -252, -268, -300, -354, -436? -552 What is the next term in 217, 219, 221, 223, 225, 227? 229 What is next in -9, -12, -7, 12, 51, 116? 213 What is next in -8, 4, 22, 46, 76, 112, 154? 202 What comes next: 36, 29, 6, -39, -112, -219, -366? -559 What is the next term in -23, 56, 189, 376, 617, 912? 1261 What comes next: 68, 133, 198, 263, 328, 393? 458 What is the next term in 79, 78, 65, 34, -21, -106, -227? -390 What is next in 5, -29, -137, -355, -719? -1265 What is next in 21, 16, -3, -42, -107, -204, -339? -518 What comes next: -184, -360, -532, -694, -840? -964 What is the next term in 174, 310, 442, 570, 694, 814, 930? 1042 What comes next: -33, -16, 15, 66, 143, 252, 399, 590? 831 What is the next term in 12, 26, 40? 54 What comes next: -2, -110, -290, -542, -866, -1262? -1730 What is the next term in 12, 82, 262, 606, 1168, 2002? 3162 What is the next term in -583, -2369, -5337, -9481, -14795, -21273, -28909? -37697 What is next in 326, 337, 362, 407, 478? 581 What comes next: -151, -189, -227, -265, -303, -341? -379 What is next in -60, -36, 26, 144, 336? 620 What comes next: 230, 232, 238, 248, 262, 280? 302 What is the next term in 2675, 2673, 2671, 2669, 2667? 2665 What comes next: 6, 6, 16, 42, 90? 166 What is next in 63, 257, 591, 1071, 1703, 2493? 3447 What is next in -9, -25, -45, -63, -73, -69, -45? 5 What comes next: 123, 120, 113, 102? 87 What is the next term in -89, -144, -203, -266, -333? -404 What is next in -17, -6, 13, 40, 75, 118, 169? 228 What is next in 0, -8, -24, -48, -80? -120 What is next in -340, -658, -976, -1294, -1612, -1930? -2248 What is the next term in -747, -1495, -2243, -2991? -3739 What is the next term in 437, 435, 433, 431, 429, 427? 425 What is the next term in -7513, -15026, -22539, -30052? -37565 What is next in -19799, -19797, -19795, -19793, -19791, -19789? -19787 What is the next term in -41, -92, -1
{ "pile_set_name": "DM Mathematics" }
). -174*o**3 - 348*o Expand (a + 2*a + a)*(-2 + 4*a**3 - 11*a**3 + 5*a**3). -8*a**4 - 8*a Expand (22 - 7 + 8)*(1 - 5 - 4)*(-3*t + 3*t - 4*t**2). 736*t**2 Expand (-5*o + 5*o - 2*o**3 + (4*o**2 - 4*o**2 + 2*o**2)*(-o + 0*o - 3*o) + 4*o**3 + o**3 - 2*o**3 + o**2 - o**2 - 2*o**3)*(o + 13 - 15 - 12). -9*o**4 + 126*o**3 Expand (145 - 144 + 556)*(2*i + 0 + 0 + 2*i**2). 1114*i**2 + 1114*i Expand (-1 - 6 + 4)*(u + 115 + 8*u - 8*u). -3*u - 345 Expand (21*k + 99*k - 50*k)*(-4 - 4 + 3) + 2*k - k + k. -348*k Expand (4*b**2 + 11*b**2 - 9*b**2)*(0*b**2 - b**2 + 8*b**2). 42*b**4 Expand (6*w**3 - 2*w**3 + w**3)*(4*w - 4*w + 5*w + 1)*(2 - 1 - 2)*(-4 + 2 + 5). -75*w**4 - 15*w**3 Expand (6 + 3 - 5)*(2*b - b + b) - 118 + 118 - 164*b. -156*b Expand (144 + 7 + 2*u**2 - u**2)*(-3 + 2 + 2). u**2 + 151 Expand 14 + 7 - 29 - j**2 + (j + 1 - 1)*(0*j - 2*j + 0*j) + 0*j**2 - 7*j**2 + 0*j**2. -10*j**2 - 8 Expand -5*q**2 + 5*q**2 - 2*q**3 + 0*q**2 + 0*q**2 + q**3 + (3*q**2 - q**2 + 0*q**2)*(-2 + 2 - q) + (3 - 3 - 7*q)*(2*q**2 + 1 - 1) - 3*q**2 + 3*q**2 - 2*q**3. -19*q**3 Expand (4*h**3 - h**4 - 4*h**3)*(-33*h - 88*h - 139*h). 260*h**5 Expand (16*o - 61 + 61)*(7*o - 7*o + 2*o**2 + o**2 + o**2 - 3*o**2 + (-5 - 2 + 5)*(-2*o**2 - 4*o**2 + 5*o**2) + 0 + o**2 + 0 + 1 - 1 - 2*o**2). 32*o**3 Expand -157*t - 153*t - t**2 + 212*t + (0*t + t - 2*t)*(-7*t - t + t). 6*t**2 - 98*t Expand (4*z**2 - 4*z**2 - z**3)*(23*z - 56*z + 19*z) + z**4 - z**4 - 2*z**2 + 4*z**4. 18*z**4 - 2*z**2 Expand (1 - n - 1)*(914 - 763*n - 914) + 2*n**2 - 6*n + 6*n. 765*n**2 Expand -27*k + 2*k**4 + 27*k + (24*k**3 - 8*k**3 - 6*k**3)*(-6 + k + 6). 12*k**4 Expand (-2*v + 2*v - 2*v)*(1 - 2*v**3 - 1) + (-4*v**2 + 4*v**2 + v**2)*(-1733 - 77*v**2 - 195 + 75*v**2). 2*v**4 - 1928*v**2 Expand (-2 + 1 - 2 + (-3 + 2 + 4)*(-3 - 1 + 2))*(q - 9 + 4 + 6). -9*q - 9 Expand (133*u**2 - 290*u**2 + 270*u**2)*((-2 - 2 + 2)*(-5*u + 3*u + 4*u) + u + u - 4*u). -678*u**3 Expand (2*f**2 - 9*f**2 + 0*f**2)*(-7 - 223 + 58 - 436 - 46). 4578*f**2 Expand 5*n**2 - 2*n**2 + 2*n**2 + (8 - 8 - 5*n)*(-5*n + n + 3*n) - n**2 - 3 + 3 + 1. 9*n**2 + 1 Expand -2*n + 12*n**3 + 1 + n - 11*n**3 + n - n + 2*n**3 + (-n + 5*n - 6*n)*(0*n**2 - 4*n**2 + 2*n**2) - 1 - 2*n**3 + 1. 5*n**3 - n + 1 Expand 5*p**2 - 19*p**2 - 25*p**2 + (-3 + 3 - 2*p)*(-4*p + p + 4*p). -41*p**2 Expand (2*s + 2*s - 2*s)*(44*s**2 - 8*s**2 - 26*s**2 + 0*s**2 - 3*s**2 + 5*s**2 + (4*s - 3*s - 3*s)*(s + s - 3*s)). 28*s**3 Expand 2*z**4 - z**4 + 4*z**4 + (-5 - 3*z + 5)*(z**3 + 0*z**3 + z**3) + 2*z**4 - 5*z + 5*z. z**4 Expand (2*a**4 + 2*a**4 - 2*a**4)*(2*a - a + 0*a) + 115*a**5 - 77*a**5 + 53*a**5. 93*a**5 Expand -34*q**4 - 240*q**2 + 240*q**2 - 3*q**4 + 6*q**4 - 4*q**4 + 0*q**4 + 2*q**4 - q**4 + (-2*q + 2*q + q)*(q**3 + 0*q + 0*q). -33*q**4 Expand (8*b**2 + 9 - 9)*(-2*b**3 + 0 + 0) - b**5 + 2*b**5 + b**5 + (b**3 - 4*b**3 + 2*b**3)*(3*b**2 + 0*b + 0*b) + 2*b**5 - 3*b**5 + 2*b**5. -16*b**5 Expand (-8641*d + 63*d**3 + 8641*d)*(6*d - 2*d - 2*d)*(3*d - 2*d + 0*d). 126*d**5 Expand (-4*d + 0*d + 2*d + ((-4 + 3 + 3)*(-5 + 2 + 5) + 3 - 2 + 0 + 3 + 4 - 5)*(-d + 2*d - 4*d))*(-15*d + 33*d - 23*d). 115*d**2 Expand (-2*l**4 - 5 + 5)*(-410 + 296 - 887 - 43). 2088*l**4 Expand (-7*f + 7*f + 8*f)*(0 - 2 + f + 4)*(2 + 1 - 2). 8*f**2 + 16*f Expand (-4*r - r - 2*r + (-5 + 5 - 4*r)*(2 - 2 - 2))*(6 - 1 - 1). 4*r Expand (-2*n**2 - 1 + 1)*(-835*n**2 + 356*n**2 + 173*n**2). 612*n**4 Expand -s + s + s + (-2*s + s + 0*s)*(-10 - 3 + 4) + s - 5*s + 3*s + (0 - 1 + 3)*(2*s - 2*s - 2*s) - s - s + s + 0*s + 2*s - s + 0*s - 3*s - 6*s. -4*s Expand -15*s**3 + 7*s**3 - 4*s**3 + (-s + s - 2*s)*(3 - s**2 - 3) + 0*s**2 + s**3 + 0*s**2 - 1 + 0*s**3 - 2*s**3 + 2. -11*s**3 + 1 Expand (2*n + 0*n - n)*(-4 - 1 + 4)*((-1 - 6 + 4)*(-1 + 1 + n) - 1 + 6*n - 2 - 7*n). 4*n**2 + 3*n Expand (-2 + 1 - 4)*(0*m - m + 2*m)*(m + 2*m + 0*m). -15*m**2 Expand (w**2 + 127*w**2 + 174*w**2)*(-w + w**2 + w). 302*w**4 Expand -3*s**2 - 3*s**2 + 4*s**2 + (8*s - s + 14*s)*(s + 3 - 3). 19*s**2 Expand (0*u**3 + u**2 - 9*u**3 + 5*u**3)*(-9*u + 2*u - 5*u). 48*u**4 - 12*u**3 Expand (1 - 2*i - 1 - 5)*(i**3 - 5*i**3 - 20*i**3). 48*i**4 + 120*i**3 Expand (2 - 3 - 1)*(-3*q**5 - q**3 + q**3) - q**5 - 25*q**5 - 2*q**5. -22*q**5 Expand (-3 - 1 + 3)*(-10*z**4 + 10*z**4 + 2*z**5) + (2*z**4 - 8*z**4 - 4*z**4 + (0 - z**2 + 0)*(-2*z**2 - 3*z**2 + 3*z**2))*(1 - 1 - 2*z). 14*z**5 Expand (3*i - 5*i + 0*i)*(396*i + 145*i + 647*i - 327*i). -1722*i**2 Expand (-1 + 1 - 2*y)*(4*y**4 + 0*y**4 - 6*y**4 + (3*y - 2*y - 2*y)*(36*y**2 + 12*y**3 - 36*y**2) - 7*y**4 + 28*y - 28*y). 42*y**5 Expand (-2 + 0 + 0)*(1332*z - 671*z - 572*z). -178*z Expand (9*g + 6*g - 4*g)*(-7 + 3*g + 12 + 19). 33*g**2 + 264*g Expand (-6*f**2 - 2*f**2 - 5*f**2)*(2 - 2 + 1) + (-14 + 14 + 25*f)*(-2 + 2 - f). -38*f**2 Expand (-3*r + 3*r + 5*r)*(4*r**3 + r - 211 + 211)*(-2*r + 5*r - 4*r). -20*r**5 - 5*r**3 Expand -2*h**3 + 0*h + 5*h - 3*h - 4*h**3 - h + h + (-3*h**2 - h**2 + 6*h**2)*(-4*h + 15 - 15). -14*h**3 + 2*h Expand (-16 - 2 + 35)*(4*p**3 - 2*p**3 + 8*p**3). 170*p**3 Expand (2 - 2 + 2*j)*(-j + j - 4*j**3 - j**3 - j**2 + j**2 + (0 + 3 - 2)*(-2 + 2*j**3 + 2) + j**3 + 0*j**3 + j**3). -2*j**4 Expand (2 - 2 + 2*v**2)*(v**2 - 2*v**2 + 0*v**2) - 5 + 5 - v**4 - 19*v**2 + 7*v**4 + 20*v**2 + v**3 + 48*v - 9*v**4. -5*v**4 + v**3 + v**2 + 48*v Expand (-n + 4*n - n)*(-n + 5*n - 2*n) - 323*n + 168*n + 58*n**2 + 158*n. 62*n**2 + 3*n Expand (-21*k + 21*k + 12*k**4)*((3 - 1 - 1)*(-2 + 2 + 2) + 1 - 5 + 5)*(-5 + 2 + 1)*(-k + 3*k + 0*k). -144*k**5 Expand (-7*h - 7*h + 4*h)*(-h**4 - 1 + 1) + 11*h**5 - 5*h**3 + 5*h**3. 21*h**5 Expand (-d + 3*d + 2*d)*(-3*d + 2*d + 0*d) - 1 + 1 - 12*d**2 + 7 - 2*d**2 - 7 + d. -18*d**2 + d Expand k**4 - 4*k**4 + 0*k**4 - 23*k - 9*k**4 + 23*k + (0*k + 2*k - 4*k)*(k - k + k**3) + 2*k**4 - 2*k**3 + 2*k**3. -12*k**4 Expand (-4*w**3 + w**3 + 4*w**3)*(-2*w**2 + 0*w**2 + 4*w**2) + 3*w**5 - 35*w**5 - 14*w**5. -44*w**5 Expand (-1 - 2 + 1 + (4 - 5 + 0)*(-2 + 2 + 1) - 2 + 4 + 12)*(-71 + 71 - 36*k**5). -396*k**5 Expand (5 + 1 - 4)*(-7 + 7 - 4*n)*(-7*n + 3*n - 6*n) + n**2 + 3*n**2 - 3*n**2 + n. 81*n**2 + n Expand (5 + 1 - 30)*((-3 - 1 + 2)*(-y + 3 - 3) - y - 1 + 1 + y - 3*y + 4*y - 32 + 0 + 1078*y - 1076*y). -120*y + 768 Expand ((0 - 2 + 3)*(-19*r**2 - 2*r**2 + 3*r**2) - 2*r + 2*r + 2*r**2 + r**2 + r**2 - 4*r**2)*(-3*r + 3*r - r). 18*r**3 Expand (-1 + 4 - 2)*(-6*m + 2*m + 8*m). 4*m Expand (211*s + 75*s - 93*s)*(4*s**3 - s**3 - 4*s**3). -193*s**4 Expand (26*m + 58*m + 1 - 24*m)*(2 + 1 + 2). 300*m + 5 Expand (2*x + 0 + 0)*(-484*x + 3*x**3 - 4*x**3 + 1200*x). -2*x**4 + 1432*x**2 Expand (-2*w - 6*w + 2*w)*(w**2 - w**2 + w**2) + (1 + 2 - 1)*(-33*w + 1 - 54*w + 47*w)*(-w**2 + w**2 + 2*w**2). -166*w**3 + 4*w**2 Expand (-7*w + 2*w + 2*w)*(14 + 21 - 5 - 3 + 3 + 1 + (3 + 2 - 6)*(-4 + 2 + 1)). -96*w Expand (-2*u**5 + 358*u**2 - 734*u**2 + 346*u**2)*(0 + 0 + 2). -4*u**5 - 60*u**2 Expand 57*t**4 - 4464 + 4464 - t + t - 2*t**4 + (-3*t + 6*t - 4*t)*(-3*t**3 + t**3 + 3*t**3). 54*t**4 Expand (3 + l - 3)*(75 + 30 + 17). 122*l Expand (-4 + 4 + 3*a)*(-5 + 5 + a) - 7*a**2 + 0*a**2 - a**2 - 7*a + 7*a + 2*a**2. -3*a**2 Expand (246*t**2 - 7 - 120*t**2 - 125*t**2 - 9*t)*(0*t**2 - t**2 + 3*t**2). 2*t**4 - 18*t**3 - 14*t**2 Expand (7 - 7 + 10*l**4)*(5*l + 22 - 3*l - 17). 20*l**5 + 50*l**4 Expand (5 + 0 - 2)*(120 + 129 - 241 + 4*b). 12*b + 24 Expand -14*n**3 - 2*n**3 + 3*n**3 + (-3 + 5 - 6)*(-2*n**3 + 0*n**3 - n**3). -n**3 Expand 4*x**2 - 3*x**2 - 3*x**2 + (-5 + 0 + 1)*(-1 + 3 + 0)*(401*x + 3*x**2 + 0*x**2 - 389*x). -26*x**2 - 96*x Expand (8 + 1 + 1)*(113*o**2 - 113*o**2 + o**3 - 1)*(2 - 1 - 5). -40*o**3 + 40 Expand 2*j**3 - 3 + 374*j**5 - 1040*j**5 + 5 + (0*j**3 - 2*j**3 + 3*j**3)*(2 - 2 + j**2) - j**3 + j**3 + 2*j**5. -663*j**5 + 2*j**3 + 2 Expand (-137*b + 166*b + 146*b)*(-b + 1 - 1 - 2) + b**2 + 0*b**2 + b**2. -173*b**2 - 350*b Expand -6*v**3 + v**3 - 17*v**3 + (-2 + 2 - v**2)*(-8*v + v - v) + 2*v**3 + 0*v**3 + v**3. -11*v**3 Expand 75*y**4 + 15*y**4 - 13*y**4 + (-5*y**3 + 2*y**3 + 2*y**3)*(-7 + 7 + y). 76*y**4 Expand (3 - 3 + 1)*(-w**4 - 19*w**2 - 633 + 633). -w**4 - 19*w**2 Expand (-10*k + 13*k - 6*k)*(-2 + 7 - 3)*(8 + 2 - 3). -42*k Expand (-112*s - s**2 + 130*s - s**2)*(2 + 1 + 0)*(5*s - 3*s - 4*s). 12*s**3 - 108*s**2 Expand (4 - 4 + 8
{ "pile_set_name": "DM Mathematics" }
0000 Suppose -2*r - r = 5*n - 132, -64 = -3*n + 2*r. Suppose n*m - 44*m = 80000000. What is m rounded to the nearest one million? -4000000 Let w = 0.04774 - 0.008. What is w rounded to two dps? 0.04 Let r = -3470.1 + 3081. Round r to the nearest ten. -390 Let d = -111.752 + 186. Let i = -84.3 - -10.3. Let u = d + i. Round u to 2 dps. 0.25 Let l = -346445108 - -346444757.999547. Let w = l + 350. Round w to 4 dps. -0.0005 Let z = 3064 + -85528. What is z rounded to the nearest ten thousand? -80000 Let t(x) = x + 25. Let z be t(9). Suppose -11*f - 12 = -z. Suppose f*y + i = 21196, 0 = -0*y + 4*y + 5*i - 42380. Round y to the nearest 1000. 11000 Suppose -16 = -11*p + 3*p. Suppose -5*j + 5*l + 1435005 = 0, p*j - 2*l + 3*l - 573999 = 0. What is j rounded to the nearest one hundred thousand? 300000 Suppose -440*p = -394*p - 897000000. Round p to the nearest one million. 20000000 Let k = 1.18533 + 5481.51467. What is k rounded to the nearest one hundred? 5500 Let b = -0.12167 + 0.06557. What is b rounded to two decimal places? -0.06 Suppose 7*x - x = 79208480 - 9448880. Round x to the nearest one million. 12000000 Let h(p) = 61*p - 2 + 75*p + 67*p - 8*p**2 - 216*p + 0 - 22*p**3. Let n be h(-4). What is n rounded to the nearest one hundred? 1300 Let g = 8191 + -8191.0003859. What is g rounded to 5 dps? -0.00039 Let q = 100.221515 - 0.102515. Let u = q - -0.181. Let h = u - 90. What is h rounded to the nearest integer? 10 Let y be (-35587 + -3)/(2*(-4)/292). Let t = y - 259035. What is t rounded to the nearest 1000000? 1000000 Let h = 33.9 + -34. Let v = -0.347 + h. Round v to 1 decimal place. -0.4 Suppose k = -i - 968 + 10700, 3*i - 29197 = -4*k. Suppose -24003 = -t + i. Suppose 0 = -2*z - 38266 - t. Round z to the nearest 10000. -40000 Let t = 114 + 3. Let n = t - 116.9964. Round n to 4 decimal places. 0.0036 Let b be -16 - (-4 + 3 + 3/(-3)). Let u be b*-1*2/4. Let g be 349500/(-3)*(u + -5). Round g to the nearest 100000. -200000 Let j = -6348 - -6351.401. Round j to the nearest integer. 3 Let o = -381 + 371. Let i = -10.2742 - -0.2702. Let c = o - i. What is c rounded to three dps? 0.004 Let f = 152.197 - -3.703. Let d = f + -155.900819. What is d rounded to four dps? -0.0008 Let m(s) = -8*s**2 + 252*s - 2210. Let q be m(110). What is q rounded to the nearest one thousand? -71000 Let w = 0.16 - -2.44. Let m = -2901.9054 + 2904.5. Let l = w - m. Round l to 3 dps. 0.005 Let d = 222 - 193.7. Let w = 10048.813 - 10077. Let a = d + w. Round a to 2 dps. 0.11 Let z = 60844 - 85857. Let i = 25011.3893 + z. Let r = 1.62 + i. Round r to three decimal places. 0.009 Let q(w) = -26374*w**3 - 6*w - 4. Suppose 9*x = 5*x + 2*b - 10, 4*b - 4 = 0. Let j be q(x). What is j rounded to the nearest 10000? 210000 Let k = 46494 - 46493.904977. Let r = 0.095 - k. What is r rounded to 6 dps? -0.000023 Let f = -9.2 - -93.2. Let n = f - 125. Let h = n - -41.0000053. Round h to 6 dps. 0.000005 Let i = -783761 - -783687.2217. Let k = -0.0117 + i. What is k rounded to the nearest ten? -70 Let l = 0.8462 - 0.861492. What is l rounded to 3 dps? -0.015 Let x = 1700.224 + -1696. Round x to one dp. 4.2 Let d = -57.291 - -0.491. Let y = -56.8000966 - d. What is y rounded to 5 dps? -0.0001 Let t = 8.340006431 - 8.34. What is t rounded to 6 decimal places? 0.000006 Suppose -2*z - 23106 = 2*m, 3*m + 21547 = 4*z - 13119. Round m to the nearest one thousand. -12000 Let w be 10*(2 - -4 - 133/21)*180. Round w to the nearest ten thousand. 0 Let d = -497.76394 - -0.09394. Let z = d + 500. What is z rounded to the nearest integer? 2 Suppose -28*i + 14*i = -26*i + 153043200. Round i to the nearest 1000000. 13000000 Let g = 0.60622 - 0.60655107. Round g to 6 decimal places. -0.000331 Let z = 1915 + -2076.6. Let m = 146 + z. Round m to the nearest ten. -20 Let x(n) = -3*n**2 + n - 2 - 28*n**2 - 8*n**2. Suppose 10 = -5*o + 40. Let t be x(o). What is t rounded to the nearest 1000? -1000 Let g = -33.88999 + 33.94. Let d = g - 0.0536. What is d rounded to three dps? -0.004 Let g = -1961.2027 + -0.9973. Round g to the nearest 100. -2000 Let l = -1.44 - -31.24. Let x = l + -24. Let d = -5.800085 + x. Round d to four decimal places. -0.0001 Let u = -472753160.000519 - -472751995. Let t = 1165 + u. What is t rounded to four decimal places? -0.0005 Let b = 2343.91 + -2442.8. Let t = 91.5 + b. Round t to the nearest integer. -7 Let v = 36985 + -36984.9999962938. What is v rounded to seven decimal places? 0.0000037 Let y = -33.9 + -5.1. Let t = y - -91. Let b = t + -51.08. What is b rounded to one dp? 0.9 Suppose 21 = -5*d - 3*c - 15, 2*d = 4*c - 30. Suppose -2*l + 4*h + 10 = 0, -5*h - 11 = -4*l - 6*h. Let j be -408 - d*l/(-9). Round j to the nearest ten. -410 Let s = -298.754 + 301.7. Let b = -2.94597933 + s. Round b to 6 dps. 0.000021 Let f = 1.0819 + -0.2167. Let d = 0.9 - f. Round d to two decimal places. 0.03 Let x = -90.373 - -89.84717. What is x rounded to 2 dps? -0.53 Let z = 945 + -507. Suppose x - 3*t - z = -t, -t = -4*x + 1759. Suppose 2*g - 1140 = x. What is g rounded to the nearest 100? 800 Suppose 415*d - 209*d = 207*d - 25395. What is d rounded to the nearest one hundred? 25400 Let d = -60963.00243748 - -60963. Round d to five decimal places. -0.00244 Let d = 575552378.6 - 575552066.5999871. Let z = 161 - -151. Let h = z - d. Round h to six decimal places. -0.000013 Let o = 0.98201 + 757.37699. Let p = o - 758. What is p rounded to two decimal places? 0.36 Suppose -3*l - 1007336 = 227*x - 225*x, -5*l = -3*x + 1678906. Round l to the nearest 1000. -336000 Let t = 126 - 197. Let v = t + 1. Let c = v - -69.99952. What is c rounded to four dps? -0.0005 Let p = 400.6 + -399.86106. Round p to 3 dps. 0.739 Let a = -137288 + 24848. Round a to the nearest one thousand. -112000 Suppose 1738936 = 96*i - 24913546 - 55067518. Round i to the nearest ten thousand. 850000 Let s = -20 + 18. Let i be 0 - -1 - ((-12)/2 - s). Suppose 13830 = -i*y - 64670. What is y rounded to the nearest 1000? -16000 Let g = 13.32 - -833.68. Let c = g + -846.999999523. Round c to 7 dps. 0.0000005 Let f = -6715490.187052 - -6715475. Let i = f + 15.23. Let g = 0.043 - i. What is g rounded to 5 dps? 0.00005 Let p = 67 + 75. Let c = p + -141.415. What is c rounded to 2 decimal places? 0.59 Let z = 0.94622 - 1.287129. Let q = z + 0.341. Round q to five decimal places. 0.00009 Let c = -15978 + 196108. Round c to the nearest ten thousand. 180000 Let u = 21477119 - -30542881. What is u rounded to the nearest one hundred thousand? 52000000 Let d(w) = 6*w - 21. Let y be d(13). Let m be 6/y + (-111384)/57. What is m rounded to the nearest 100? -2000 Let k = -3371.27 - -3365. Round k to the nearest integer. -6 Let m = 483 + -485.24. Let c = m + 2.23396. Round c to four decimal places. -0.006 Let r = 1006287467.0000685 - 1006287246. Let q = -221 + r. Round q to 5 decimal places. 0.00007 Let x = -3059 + 1122. Let n = 1946.01 + x. Round n to 0 dps. 9 Let y = 124.941 - 125. Let f = -4174 + 4174.05474. Let q = f + y. Round q to 3 decimal places. -0.004 Let s = -267.9618 + -0.0382. Let y = s + 267.999999394. What is y rounded to seven decimal places? -0.0000006 Let w = 0.177 + 0.253. Let f = w + -0.4299667. Round f to six dps. 0.000033 Let z = 36614005 - 36614004.767000405. Let f = 0.233 - z. Round f to seven decimal places. 0.0000004 Let h be ((-8)/(-1))/((-6)/(-12)). Let l = h - 11. Suppose l*c - 4*c + 18300 = 0. Round c to the nearest 1000. -18000 Let m = 61309 - -48331. Round m to the nearest one thousand. 110000 Suppose 686674 = -36*y - 482246. Round y to the nearest 100. -32500 Suppose -f + 489 = -2*u - 159, -u = 4*f - 2592. Round f to the nearest ten. 650 Let n = 72829 - 37746. Let t be 19*137851/(-94)*(-12)/14. Let d = t - n. Round d to the nearest one thousand. -11000 Let u = 28 - 26. Suppose 5*o = 5, 0*o - o + 5 = u*z. Suppose 0 = r - z + 6. What is r rounded to 0 dps? -4 Let h = 201 - 201.024. Let z = 2.6291649 - 2.60517. Let v = z + h. Round v to 6 dps. -0.000005 Let c = 26322304 - 6849304. Round c to the nearest one million. 19000000 Let v = 177 + -175. Suppose -d = -2*a + 4199990, 10229787 = -v*d - 2*a + 1829777. Round d to the nearest 100000. -4200000 Suppose 0 = 4*k + 2*d - 20, 6*d = -3*k + 7*d + 15. Let y be (-58)/2*-1*(k - 4).
{ "pile_set_name": "DM Mathematics" }
- j. Find the common denominator of t and u. 8 Let j(g) = -g**2 + 3*g + 3. Let x be j(3). Suppose 5*q - 21 = k, -2*k = x*k - 5*q + 105. Let h = -3 - k. Calculate the lowest common multiple of 14 and h. 126 Let f = -3/158 + 1226/79. Find the common denominator of f and 37/18. 18 Suppose x + j = -0*j + 31, -3*x - 4*j = -98. Let u = 40 - x. Calculate the smallest common multiple of -1 + -1 + (0 - -18) and u. 112 Let s(b) = -12 - 10 - 3 + 1 - 2*b. What is the least common multiple of s(-17) and 14? 70 Let r be (2146 + 1)/(-1 - 2). Let l = 729 + r. What is the common denominator of l and 59/7? 21 Let i = 5638/5 + -35961/35. Let a = 5167/56 - i. Calculate the common denominator of 2*1 + 79/(-20) and a. 40 Suppose -g + o - 7 = -0, -g + 3*o = 5. Calculate the common denominator of (174/(-20))/(g/5) and 333/24 - 2*1. 16 Let d be (-230)/(-8) + (-4)/(-16). Let z be (-3)/(5 + -2)*d. Let i = 49 + z. Calculate the lowest common multiple of 20 and i. 20 Find the common denominator of -4 + (-90)/16 + -3 and -23/20. 40 Suppose -40 = -o - 3*o. Suppose b + o = d - 4*d, 4*d + 10 = -3*b. Suppose -13 = -l + k, -2*k + 0*k - 36 = -3*l. What is the lowest common multiple of l and b? 10 Let d(u) = 2*u + 1. Let m be d(-3). Let l = 26/5 + m. Let n = 297/35 - l. Find the common denominator of n and 14. 7 Let g(q) = -q**3 - 8*q**2 - 6*q + 8. Let u be g(-7). Let l = 17 + -3. What is the least common multiple of 3 - (-11 + (-1 - u)) and l? 112 Suppose k - 5 = 5. Calculate the smallest common multiple of 1 + 0 - (-4 + -5) and k. 10 Let d = -3/1051 + 74681/21020. What is the common denominator of d and ((-93)/(-2))/(-4 + -6)? 20 Suppose -t + 0*b = 2*b - 3, -2*t - 5*b + 3 = 0. Calculate the smallest common multiple of 9 and t. 9 Suppose 0 = -r + 6*r + 225. Find the common denominator of r/12*(-14)/(-40) and -43/16. 16 Find the common denominator of 79/12 and (-2)/6 - 10*203/(-336). 24 Let w be (-48180)/288 - (-1)/3. Let j be (-1)/3*968/(-2). Let l = j + w. Find the common denominator of -71/20 and l. 40 Let h = 1726 - 713. Suppose -h = -2*z + 1151. Let m = -10839/10 + z. Find the common denominator of -93/8 and m. 40 Let c = -6/31 - 1027/620. Calculate the common denominator of c and -91/4. 20 Let v = -2675811326239381/938899929031260 - 54/5346201623. Let g be (1/(-12))/(2927/(-2)). Let n = g - v. What is the common denominator of n and 97/6? 60 Let l(z) = 2*z - 4. Let b be l(3). Let r be (-6515)/8 - b/4. Let q = -819 - r. What is the common denominator of q and 19/2? 8 Suppose 20 + 0 = 5*j. What is the lowest common multiple of j and 8? 8 Suppose -2*t + 10 = -2. Calculate the least common multiple of 2 and t. 6 Let d be (-1 + 0)/(2/(-40)). Suppose -d = -p - 0*p. What is the smallest common multiple of 144/10 + 5 + 135/(-25) and p? 140 Let g(t) = t**2 + 2*t + 2. Let d be g(-3). Let i = 10 - d. What is the common denominator of (-5 + -26)/(-1*i) and 81/4? 20 Let l = -28213 + 677209/24. Find the common denominator of -62/3 and l. 24 Let b = -22 + 19. Calculate the common denominator of 23/6 and (-3)/(b/(-108)*3). 6 Let t(k) = 3*k - 1. Let a be t(1). Suppose -a*j + 7 = 3*n, 4*j - 4*n = 31 - 7. Calculate the least common multiple of 1 and j. 5 Suppose -5*k + 3 + 7 = 0. Suppose -18 = k*z + 6*c - c, 3*z + 1 = -c. Let a = -3 + 8. Calculate the lowest common multiple of a and z. 5 Suppose -14 = 2*b - 54. Let c(j) = 5*j**2 + 1 - 5 - 4*j + 5*j**3 - 4*j**3. Calculate the lowest common multiple of c(-5) and b. 80 Let n(t) = t**3 - 6*t**2 - 14*t. Calculate the smallest common multiple of 2 and n(8). 16 Suppose 6*c + 7 = 7*c. Let b(t) = t**2 - t + 2. Let l be b(4). Let w = l - c. What is the lowest common multiple of 10 and w? 70 Let w(f) = -50*f + 2. Let m be w(-5). Calculate the common denominator of (27/72)/((-9)/(-284)) and (-926)/m - (-2)/7. 18 Let l(i) = 9*i**2 + 3*i. Let c be l(-2). Suppose c = 2*f + 3*f. What is the lowest common multiple of (80/28)/((-2)/28*-2) and f? 60 Let g = -1411 - -14197/10. Suppose c - 2229 = 4*c. Let b = 10407/14 + c. What is the common denominator of g and b? 70 Suppose -m + 32 = 4*t, -6*t = -5*m - 8*t + 70. Calculate the smallest common multiple of m and (-2)/4*(-3 + 1). 12 Let h(b) = b**3 + 4*b**2 + 5*b + 3. Let s be h(-3). Calculate the common denominator of -118*1/16 - s and 0/2 + (-73)/(-3). 24 Let x(o) = 0 - 4*o**2 + 0*o**2 - 4 - o**3 - 4*o. Let r = 3 - -15. What is the lowest common multiple of x(-4) and r? 36 Let m be (-6)/(-12)*(1 - -3). Calculate the common denominator of 29/18 and m/(-8) - 435/140. 126 Let b be -4 + 6 + (2 - 0). Suppose h = b*h. Find the common denominator of 44/(-12)*(5 + h) and -48/11. 33 Let a be -3 + (1418726/2808 - -1). Let o = a + -2013/4. Let z = -3175/2808 - o. Calculate the common denominator of z and 19/10. 40 Calculate the common denominator of (0 + 12)*(248/60 + -4) and -11/65. 65 Suppose -4*u - 4*x + 52 = 0, -u + 22 = -0*u + 4*x. Let m = u - -1. What is the least common multiple of 2 and m? 22 Find the common denominator of -145/6 and (-119)/(-28)*5/(-3). 12 Suppose 0*m + 5*m - 40 = 0. Calculate the least common multiple of m and 20. 40 Let y be (3/(-9))/((-1)/3). Find the common denominator of (2/(-4))/(y/(-63)) and 3 - (-1)/(-3)*14. 6 Let q be (-3 - -2)*-1*1. Let r = 5 - q. What is the lowest common multiple of 14 and r? 28 Let s be 0 - (625/(-2) + 1). Let h = s + -1497/5. What is the common denominator of -70/3 and h? 30 What is the common denominator of 127/6 and (-1)/(-2)*(-5)/2? 12 Let v = 189393 - 212688369/1123. Let h = v + 120521/13476. What is the common denominator of h and -97/12? 12 Let i be ((-2)/4)/(1/(-606)). What is the common denominator of (i/(-8))/(33/(-22)) and -38/5? 20 Let o = -591 + 2309/4. Calculate the common denominator of 91/6 and o. 12 Let j(b) be the first derivative of 3*b**2/2 - 8*b + 4. Calculate the least common multiple of 6 and j(6). 30 Let f(l) = -l**3 + 6*l**2 - 2*l - 1. Let o = 29 - -11. Suppose -3*v + o = v. Calculate the lowest common multiple of v and f(5). 70 Let a(g) = -17*g - 65. What is the lowest common multiple of a(-7) and 22? 594 Suppose -j + 12 = -3. Calculate the common denominator of 79/4 and (-234)/(-140) - (-6)/j. 28 Let f be (6 - 4) + (-1889)/4. Let i = f - -464. Calculate the common denominator of -83/4 and i. 4 Let f(c) = c**2 + 6*c - 20. Calculate the least common multiple of f(-10) and 7*2*(5 - 4). 140 Let b(f) = 5*f - 4. Let m = -8 + 13. Calculate the least common multiple of b(3) and m. 55 Calculate the common denominator of ((2/4)/(-1))/((-22)/(-8)) and 15/4. 44 Let s = 112 - 800/7. Calculate the common denominator of s and 54/5. 35 Let t = 640/1269 - 15/47. Let v = -2519/540 - t. What is the common denominator of 25/8 and v? 40 Calculate the common denominator of (-28)/(-48)*654/42 and -71/34. 204 Let p = -1349/53 - 5/106. Calculate the common denominator of 41/16 and p. 16 Let z be (4/15)/((-4)/10854). Let a = 22273/30 + z. Find the common denominator of (-9)/12*((-308)/(-12) - 4) and a. 12 Suppose -2*g + 4 = 0, -l - 10 = 3*l + 5*g. Calculate the common denominator of 52/5 and (26/l)/(-1) + 1. 5 Let h = -43 + 79. Find the common denominator of (-22 - -13)*(-58)/(-60) and ((-12)/9)/(33/h). 110 Let x(s) = 2*s**2 + s. Calculate the lowest common multiple of 9 and x(2). 90 Suppose -5*j + 67 = 3*q, -j = 3*q - 2*j - 73. What is the least common multiple of 33 and q? 264 Calculate the common denominator of ((-95)/22 - -2) + 2 and (-23)/2 + 1 - -2. 22 Suppose -3*i = -6*i + 9. Let o = -1 + 5. Suppose -7 = -o*q + 5. What is the smallest common multiple of i and q? 3 Let y = 20 + 0. Let l = y + -13. Calculate the lowest common multiple of l and 4. 28 Let s = -4 - -10. What is the lowest common multiple of 18 and s? 18 Let o(s) = -s**3 - 12*s**2 - s + 4. Let t be o(-12). Let n = t - -2. What is the least common multiple of n and 16? 144 Let g(b) = b + 10. Let o be g(-9). Suppose 0 = k - o - 7. Calculate the lowest common multiple of k and 8. 8 Calculate the smallest common multiple of 8 and (2/6)/(2/258). 344 Suppose 9*h - 10*h = -9. Calculate the lowest common multiple of 2 and h. 18 Find the common denominator of 71/9 and (-3 - 89/(-22))/(1/2). 99 Let w = -218801/35720 + 2/4465. Let c = -155783/282 - -4618/47. Let z = -449 - c. What is the common denominato
{ "pile_set_name": "DM Mathematics" }
late the remainder when 38 is divided by (s/t - 1)*30. 8 Suppose 3*c - 10 = 11. Suppose p - c = 1. Suppose 0 = -0*t + t - p. What is the remainder when t is divided by 5? 3 Let i = 17 + 1. Calculate the remainder when 83 is divided by i. 11 Let v be (-8)/(-2)*39/4. Let h be (2 + -4)*v/(-6). What is the remainder when (1 - 0)*(-1 + h) is divided by 7? 5 Suppose -48 + 328 = 14*p. Calculate the remainder when 104/6*(-18)/(-4) is divided by p. 18 Let n(i) = i**2 + 6*i + 7. Let c be n(-7). Let o = c - 60. What is the remainder when 38 is divided by 3/(-6)*o - 3? 18 Suppose -l = 3 + 9. Let a be 58/(-8) + (-3)/l. Let t = a + 15. Calculate the remainder when 23 is divided by t. 7 Calculate the remainder when (-8)/52 + (-457)/(-13) is divided by 9. 8 Let g(z) = 3*z**2 + 5*z - 1. Suppose -v + 25 + 1 = -4*d, -d - 24 = -2*v. Calculate the remainder when g(-4) is divided by v. 7 Suppose -4*n + 167 - 39 = 0. Suppose 0*l - o - 5 = -4*l, 15 = 5*l - 3*o. Suppose -4*k + 2*k + 34 = l. Calculate the remainder when n is divided by k. 15 Suppose -4*h + 78 = -10. Let u = -3 - -15. Let d = u - 4. What is the remainder when h is divided by d? 6 Let b(h) = h**3 - 32*h**2 + 31*h + 20. Calculate the remainder when 158 is divided by b(31). 18 Let f = 15 + 23. What is the remainder when f is divided by 4/((-7)/(-5) - 1)? 8 What is the remainder when (-2 - -2) + 3 - -5 is divided by 2? 0 Let x(s) = -s**3 + 3*s**2 + 2*s - 3. What is the remainder when (2 + 0)/(6/15) is divided by x(3)? 2 What is the remainder when 60 + -3 + 3 + 4 is divided by 22? 20 Let b = 33 - 16. Let c(j) = 4*j - 23. What is the remainder when b is divided by c(7)? 2 Let q(o) = o**3 - 3*o**2 - 6*o - 4. Let t = -38 - -60. Let c = t - 13. Calculate the remainder when q(5) is divided by c. 7 Let s = 3 - 3. Suppose 0 = -5*n - s*n + 35. Calculate the remainder when 11 is divided by n. 4 Let u = -21 + 33. Calculate the remainder when 22 is divided by u. 10 Suppose 0 = -3*l - l + 44. What is the remainder when 21 is divided by l? 10 Let y(u) = -117*u - 1. Let r be y(-1). Let g be r/14 + (-12)/42. Calculate the remainder when 3/(-1 - (-11)/g) is divided by 3. 2 Let f(b) = 4*b - 18. Let z be f(12). Suppose -z = 5*u - 7*u. What is the remainder when 26 is divided by u? 11 Suppose 2*h + g - 134 = 0, 7*h - 3*h - 244 = 4*g. What is the remainder when h is divided by 11? 10 Suppose 3*l + 0*l + 21 = 0. Let y = l - -10. Suppose -4*a = -a - 12. What is the remainder when a is divided by y? 1 Suppose 2*b = 2 + 2. Suppose -4 = t - b*g - 13, 0 = t - 4*g - 1. Calculate the remainder when 50 is divided by t. 16 Let b(x) = -x**2 + 6*x + 8. Let o = 3 + 3. Calculate the remainder when 37 is divided by b(o). 5 Let p = -5 + 1. Calculate the remainder when 30 is divided by p/(-24) - 141/(-18). 6 Suppose 0*w - 3*w + o = -223, 3*w - 211 = -2*o. What is the remainder when w is divided by 38? 35 Let v = -161 + 294. What is the remainder when v is divided by 34? 31 What is the remainder when (-154)/(-3) - 13/39 is divided by 18? 15 Suppose 5*a + 3*q = -11, a - 2*q - 2 - 1 = 0. What is the remainder when a*(17 + -2)*-1 is divided by 8? 7 Let c(r) = -5*r**3 - 2*r**2 - r + 1. Let k(j) = 5*j**3 + 3*j**2 + 2*j - 2. Let s(z) = -3*c(z) - 2*k(z). Calculate the remainder when 9 is divided by s(1). 4 Let j = 11 + -8. Suppose 7*y = 3*y - j*g + 16, g = y + 3. Let b(d) = 3*d**2 + d. What is the remainder when 5 is divided by b(y)? 1 Suppose -6*l = -3*l - 24. What is the remainder when l is divided by 5? 3 Suppose 5*l + 326 = -129. Let d = -50 - l. Let j = -132 - -146. Calculate the remainder when d is divided by j. 13 Let s be 246/8 + 1/4. Let w = s + -20. Calculate the remainder when 20 is divided by w. 9 Let n(r) be the first derivative of -3*r**2 - 1. Let k(h) = -2*h - 2. Let t be k(0). Calculate the remainder when 46 is divided by n(t). 10 Let r = 21 + -11. Let u(b) = -7 + 6 + 18*b**2 + 22*b**2. Calculate the remainder when u(1) is divided by r. 9 Suppose 60 = k + 3*k + 4*a, 5*k = 2*a + 68. Let w = 158 - 103. What is the remainder when w is divided by k? 13 Calculate the remainder when 19 is divided by 33/6 + 4/(-8). 4 What is the remainder when 19 is divided by (-256)/(-26) + (-10)/(-65)? 9 Suppose 74 = 2*m - w - 56, -2*m + 136 = 2*w. What is the remainder when m is divided by 24? 18 Let t be 10/(-1 - (-3)/1). Suppose w - 23 - 10 = 0. Suppose -t*y + 3*r + w = 0, -2*r = -2*y - 3*r + 11. Calculate the remainder when 11 is divided by y. 5 Suppose 0*t - 2*t - 3*b = -69, -b - 147 = -5*t. What is the remainder when t is divided by 11? 8 Let u = 82 - 59. Let k = -11 + 19. What is the remainder when u is divided by k? 7 Suppose 5*j - j = 4*t + 72, -t - 4*j = 8. Let o = 26 + t. What is the remainder when (-3)/(6/4)*-14 is divided by o? 8 Suppose i - 3*a + 20 = 0, i = 5*a - 0*a - 20. Let c = 30 + i. Let w = 40 - 11. What is the remainder when w is divided by c? 9 What is the remainder when (3 + (2 - 34))*-2 is divided by 21? 16 Suppose 30 = q - 4*h, 0 = -2*h + 3*h + 4. Let m = 20 - q. What is the remainder when m is divided by 2? 0 Let g = 158 - 89. Suppose -45 = -2*l - 4*v + v, -4*v = -12. What is the remainder when g is divided by l? 15 Suppose 2*n = -2, 3*h = -4*n + 80 + 24. Calculate the remainder when 105 is divided by h. 33 Let r = -5 - -7. What is the remainder when 18 is divided by r*-2 - -3 - -6? 3 Let u(n) = -n**3 - 3*n**2 + 5*n - 3. Calculate the remainder when 40 is divided by u(-5). 18 Let w(f) = 3*f**2 + 19*f - 6. Let b(q) = -q**2 - 9*q + 3. Let s(o) = -5*b(o) - 2*w(o). Calculate the remainder when 20 is divided by s(5). 6 Suppose 2*u - 3*b - 13 = 0, -4*u + 0*b - 5*b + 59 = 0. Suppose 2*a = -0*j - j + 18, 4*a - 8 = 5*j. What is the remainder when u is divided by a? 4 Suppose 2*k - k = 39. Calculate the remainder when k is divided by 14. 11 Let t(l) = -l**3 - 4*l**2 + 7*l + 3. What is the remainder when t(-6) is divided by 6/(-18) - 28/(-3)? 6 Suppose -q + 5 = -20. Calculate the remainder when 72 is divided by q. 22 Let l = 39 - 11. What is the remainder when 81 is divided by l? 25 Suppose 3*d = 10*d - 371. Calculate the remainder when d is divided by 14. 11 Let v(p) = -20*p + 4. Calculate the remainder when v(-2) is divided by 9. 8 Let o = -5 - -8. Suppose 66 = o*v - 18. What is the remainder when v is divided by 10? 8 Let g be 1 + 3 + (4 - 1). Suppose 228 = -g*o + 11*o. Calculate the remainder when o is divided by 20. 17 Let j = -18 + 33. Calculate the remainder when j is divided by 8. 7 Let x(i) = -i - 1. Let v be x(-7). Suppose 0 = 2*j - 5*j + v. Suppose -j*t = -0*t - 26. What is the remainder when t is divided by 7? 6 Calculate the remainder when (-1)/(3/(-187)) + 4/6 is divided by 11. 8 Let c = 12 - 8. Suppose c*t - 5 = 11. Suppose -3 - 4 = -h. Calculate the remainder when h is divided by t. 3 Suppose -69 = -13*u + 9. Suppose 6*l = l + 50. What is the remainder when l is divided by u? 4 Let f(n) = 4*n**2 + n + 3. Let m(q) = -2*q**2 - 33*q + 30. What is the remainder when f(-3) is divided by m(-17)? 10 Let y = -8 + 12. Suppose -y = 5*o - 109. Let u = -19 + 31. What is the remainder when o is divided by u? 9 What is the remainder when 10*68/8 - (-1 - -1) is divided by 29? 27 Suppose 59 = 4*z - 3*i, 2*i = 4*i + 10. What is the remainder when 30 is divided by z? 8 Let x be (6/(-8))/((-2)/8). Let p be 2 + 0/(9/x). Suppose -p*w - w - d = -47, 2*w = -3*d + 29. What is the remainder when w is divided by 9? 7 Suppose 0 = -2*g + 1 + 3. Let x = 1 + g. What is the remainder when 6 is divided by x? 0 Let x = 3 - -3. Let u(h) = h**2 - 6*h + 7. What is the remainder when 28/35*(-25)/(-1) is divided by u(x)? 6 Let b(x) = -x + 26. What is the remainder when 40 is divided by b(12)? 12 Suppose 0 = 30*u - 29*u - 21. What is the remainder when 62 is divided by u? 20 Let f(v) = 2*v**2 + 4*v. Suppose -11*r - 46 = -12*r. Calculate the remainder when r is divided by f(-4). 14 Suppose -130 = -7*o + 31. What is the remainder when 44 is divided by o? 21 Let p be 2/6 + 2334/18. Suppose -3*z + 2*d = z - p, -z - 5*d + 60 = 0. What is the remainder when z is divided by (-2)/(-7) - 1736/(-98)? 17 Suppose d = -5*p + 192, 4*d - 33 = -p - 6. Calculate the remainder when p is divided by 10. 9 Suppose -4*r = -w - 2*w, 0 = -3*w + 12. Let d = r - -2. Calculate the remai
{ "pile_set_name": "DM Mathematics" }
h term of 113509, 113510, 113511, 113512, 113513, 113514? i + 113508 What is the i'th term of -21, -82, -183, -324? -20*i**2 - i What is the x'th term of -3517, -3516, -3515? x - 3518 What is the b'th term of 1066, 1072, 1088, 1120, 1174, 1256, 1372? b**3 - b**2 + 2*b + 1064 What is the h'th term of -108, -447, -1004, -1773, -2748? h**3 - 115*h**2 - h + 7 What is the k'th term of -526, -523, -518, -511, -502, -491? k**2 - 527 What is the m'th term of 25, 228, 559, 1012, 1581, 2260? -m**3 + 70*m**2 - 44 What is the g'th term of 1, 27, 65, 109, 153, 191? -g**3 + 12*g**2 - 3*g - 7 What is the q'th term of 31, 51, 73, 97? q**2 + 17*q + 13 What is the o'th term of 653, 618, 579, 536, 489, 438, 383? -2*o**2 - 29*o + 684 What is the t'th term of 17, 32, 57, 98, 161, 252, 377, 542? t**3 - t**2 + 11*t + 6 What is the x'th term of 561, 552, 531, 492, 429? -x**3 - 2*x + 564 What is the s'th term of 34, 11, -12, -35, -58? -23*s + 57 What is the q'th term of 17, 70, 169, 320, 529? q**3 + 17*q**2 - 5*q + 4 What is the j'th term of 403, 819, 1233, 1645, 2055? -j**2 + 419*j - 15 What is the c'th term of -159984, -159980, -159974, -159966, -159956, -159944? c**2 + c - 159986 What is the b'th term of -79, -62, -27, 32, 121, 246? b**3 + 3*b**2 + b - 84 What is the b'th term of -90, -186, -292, -414, -558? -b**3 + b**2 - 92*b + 2 What is the o'th term of -187, -393, -599? -206*o + 19 What is the x'th term of 186, 183, 166, 129, 66, -29, -162, -339? -x**3 - x**2 + 7*x + 181 What is the d'th term of 120, 100, 68, 24, -32? -6*d**2 - 2*d + 128 What is the s'th term of -309, -613, -919, -1227, -1537? -s**2 - 301*s - 7 What is the q'th term of 20, 81, 186, 335? 22*q**2 - 5*q + 3 What is the s'th term of 237, 473, 709, 945? 236*s + 1 What is the h'th term of 19, 41, 89, 175, 311? 2*h**3 + h**2 + 5*h + 11 What is the r'th term of 392, 793, 1196, 1601, 2008, 2417, 2828? r**2 + 398*r - 7 What is the d'th term of 10, 13, 6, -17, -62? -d**3 + d**2 + 7*d + 3 What is the s'th term of 179, 806, 1859, 3344, 5267, 7634? s**3 + 207*s**2 - s - 28 What is the k'th term of -84, -89, -94? -5*k - 79 What is the n'th term of 133, 129, 125, 121, 117, 113? -4*n + 137 What is the y'th term of 453, 905, 1367, 1845, 2345, 2873, 3435, 4037? y**3 - y**2 + 448*y + 5 What is the d'th term of 594, 602, 602, 588, 554? -d**3 + 2*d**2 + 9*d + 584 What is the d'th term of 395, 793, 1191, 1589? 398*d - 3 What is the k'th term of -6, -174, -342, -510, -678? -168*k + 162 What is the s'th term of 64, 52, 32, 4, -32, -76, -128? -4*s**2 + 68 What is the u'th term of -49, -253, -803, -1873, -3637, -6269, -9943, -14833? -29*u**3 + u**2 - 4*u - 17 What is the u'th term of 5816, 5813, 5810, 5807, 5804, 5801? -3*u + 5819 What is the d'th term of 108, 114, 120, 126, 132, 138? 6*d + 102 What is the m'th term of -63, -71, -93, -135, -203, -303? -m**3 - m**2 + 2*m - 63 What is the t'th term of -84, -169, -254, -339, -424, -509? -85*t + 1 What is the f'th term of 9, 22, 35? 13*f - 4 What is the f'th term of 101, 196, 289, 380, 469? -f**2 + 98*f + 4 What is the o'th term of -45, -48, -51, -54, -57, -60? -3*o - 42 What is the m'th term of -326, -645, -962, -1277, -1590, -1901? m**2 - 322*m - 5 What is the r'th term of -161, -674, -2063, -4766, -9221? -73*r**3 - 2*r - 86 What is the y'th term of 31, 56, 105, 184, 299, 456? y**3 + 6*y**2 + 24 What is the i'th term of -2, 105, 212, 319, 426, 533? 107*i - 109 What is the d'th term of 226, 450, 674, 898, 1122, 1346? 224*d + 2 What is the u'th term of -3380, -3368, -3348, -3320, -3284, -3240? 4*u**2 - 3384 What is the m'th term of 56, 56, 54, 50, 44, 36, 26? -m**2 + 3*m + 54 What is the p'th term of 7, 47, 115, 211? 14*p**2 - 2*p - 5 What is the q'th term of -222, -272, -322? -50*q - 172 What is the d'th term of -43, -21, 1, 23, 45? 22*d - 65 What is the y'th term of -64, -57, -52, -49, -48? -y**2 + 10*y - 73 What is the u'th term of 34, 26, 16, 4, -10? -u**2 - 5*u + 40 What is the r'th term of 12, 23, 34, 45, 56? 11*r + 1 What is the y'th term of -57, -74, -109, -168, -257, -382, -549, -764? -y**3 - 3*y**2 - y - 52 What is the f'th term of -95, -86, -77? 9*f - 104 What is the d'th term of -38, -168, -398, -734, -1182, -1748? -d**3 - 44*d**2 + 9*d - 2 What is the r'th term of -139, -141, -143? -2*r - 137 What is the j'th term of 14105, 14108, 14121, 14150, 14201, 14280? j**3 - j**2 - j + 14106 What is the k'th term of -61, -109, -171, -253, -361, -501, -679, -901? -k**3 - k**2 - 38*k - 21 What is the o'th term of 81, 169, 261, 357, 457, 561? 2*o**2 + 82*o - 3 What is the p'th term of -30, -34, -56, -108, -202, -350, -564? -2*p**3 + 3*p**2 + p - 32 What is the v'th term of 4, 7, 6, 1, -8, -21, -38? -2*v**2 + 9*v - 3 What is the u'th term of 888, 875, 850, 807, 740? -u**3 - 6*u + 895 What is the j'th term of 154, 322, 480, 622, 742, 834, 892, 910? -j**3 + j**2 + 172*j - 18 What is the x'th term of -1388, -1378, -1354, -1310, -1240? x**3 + x**2 - 1390 What is the w'th term of 19, 88, 203, 364, 571, 824, 1123? 23*w**2 - 4 What is the f'th term of 27, 47, 69, 93, 119, 147, 177? f**2 + 17*f + 9 What is the v'th term of 710, 1418, 2126, 2834, 3542, 4250? 708*v + 2 What is the r'th term of 12303, 12311, 12325, 12345? 3*r**2 - r + 12301 What is the n'th term of -390, -1556, -3502, -6228, -9734, -14020? -390*n**2 + 4*n - 4 What is the z'th term of -38, -59, -108, -197, -338, -543, -824? -2*z**3 - 2*z**2 - z - 33 What is the s'th term of 223, 238, 255, 274, 295? s**2 + 12*s + 210 What is the q'th term of -2109, -4223, -6337, -8451, -10565, -12679? -2114*q + 5 What is the r'th term of -16, -36, -56, -76? -20*r + 4 What is the j'th term of 2, 15, 50, 119, 234, 407, 650, 975? 2*j**3 - j**2 + 2*j - 1 What is the n'th term of 107, 322, 689, 1214, 1903, 2762, 3797, 5014? n**3 + 70*n**2 - 2*n + 38 What is the x'th term of -73, -182, -339, -568, -893? -4*x**3 - 81*x + 12 What is the a'th term of 15828, 15832, 15838, 15846? a**2 + a + 15826 What is the f'th term of 65, 274, 627, 1130, 1789, 2610, 3599, 4762? f**3 + 66*f**2 + 4*f - 6 What is the q'th term of -41, -367, -909, -1667, -2641? -108*q**2 - 2*q + 69 What is the u'th term of -1188, -2366, -3544, -4722, -5900, -7078? -1178*u - 10 What is the u'th term of -2662, -2659, -2656, -2653? 3*u - 2665 What is the p'th term of -53, -218, -499, -902, -1433, -2098? -p**3 - 52*p**2 - 2*p + 2 What is the l'th term of -59620, -59618, -59614, -59608, -59600? l**2 - l - 59620 What is the l'th term of -277, -552, -827? -275*l - 2 What is the l'th term of -5, 3, 5, -5, -33, -85? -l**3 + 3*l**2 + 6*l - 13 What is the a'th term of 31, 83, 151, 241, 359, 511, 703? a**3 + 2*a**2 + 39*a - 11 What is the x'th term of 4864, 4865, 4866, 4867? x + 4863 What is the a'th term of -1531, -6141, -13827, -24589, -38427, -55341? -1538*a**2 + 4*a + 3 What is the w'th term of 672, 1345, 2018, 2691? 673*w - 1 What is the m'th term of 86, 169, 252, 335, 418? 83*m + 3 What is the c'th term of 0, 8, 24, 48, 80? 4*c**2 - 4*c What is the f'th term of 1, 19, 59, 127, 229, 371, 559, 799? f**3 + 5*f**2 - 4*f - 1 What is the s'th term of 23, 42, 73, 116, 171, 238, 317? 6*s**2 + s + 16 What is the o'th term of 235, 472, 709, 946, 1183? 237*o - 2 What is the c'th term of 1080, 1082, 1084, 1086? 2*c + 1078 What is the l'th term of 2126, 2125, 2124, 2123, 2122? -l + 2127 What is the j'th term of -2, 61, 164, 307? 20*j**2 + 3*j - 25 What is the k'th term of 46, 91, 136? 45*k + 1 What is the x'th term of -467, -931, -1395, -1859, -2323, -2787? -464*x - 3 What is the t'th term of 532, 1043, 1554? 511*t + 21 What is the t'th term of -1, -12, -37, -82, -153, -256, -397? -t**3 - t**2 - t + 2 What is the t'th term of 122, 126, 132, 140, 150, 162, 176? t**2 + t + 120 What is the a'th term of 34, -310, -884, -1688, -2722, -3986, -5480? -115*a**2 + a + 148 What is the p'th term of -494, -495, -496, -497, -498? -p - 493 What is the r'th term of -91, -96, -89, -64, -15, 64, 179? r**3 - 12*r - 80 What is the m'th term of -124, -124, -116, -94, -52? m**3 - 2*m**2 - m - 122 What is the f'th term of -63, -137, -219, -309, -407, -513? -4*f**2 - 62*f + 3 What is the s'th term of -10, 33, 150, 377, 750? 6*s**3 + s**2 - 2*s - 15 What is the q'th term of -217, -431, -655, -895, -1157? -q**3 + q**2 - 21
{ "pile_set_name": "DM Mathematics" }
-18))/((944/59)/64)? -40 Evaluate (-26)/39*(-100)/10*102/(-10). -68 What is (8/32*143/(-143))/((-1)/16*1)? 4 What is the value of 1/(((-343)/(-8232))/((741/18)/13))? 76 Calculate 96/(-96)*(-36)/(-78). -6/13 Evaluate ((11/33)/((-5)/(-1)))/((-6)/105). -7/6 What is 201/(-335)*(-2)/3*90/(-186)? -6/31 What is (72/(-4))/((-32)/(-4))*(-44)/(-198)? -1/2 (1/(-15))/(63/1933470*-66) 31 Evaluate ((-24)/(-2772))/((-132)/1452). -2/21 Calculate 23*50/10925*-152*3/(-7152). 1/149 What is (-2)/(-21)*-3*(126/500)/(11184/9320)? -3/50 Evaluate 2/(-7)*19/(8/2352*-28). 57 Calculate (-636)/(-39008)*80/(-72)*6/(-5). 1/46 What is (28/12)/(10/(-555)*462/(-396))? 111 What is the value of (4/10)/(20*5/(-27500)*1)? -110 Calculate (-2)/(-4)*240/(-4020)*-67. 2 Evaluate 16/4*3145/340*-4*(-7)/(-28). -37 ((-92)/46)/((7/(-210))/((-4)/16)) -15 ((-469)/(-15276)*38)/((-14)/18) -3/2 Evaluate (-10)/4*-330*(-131)/1965. -55 2675/1605*168/(-4) -70 ((-3156)/2630)/(18/(-795)) 53 Calculate ((-29)/((-7917)/84))/((-4400)/(-1144)). 2/25 2*(-28)/(9072/(-54))*(-165)/1 -55 What is the value of (852/(-2982))/(1/((-1)/(-29)))? -2/203 Calculate (170*(-19)/(-4275))/(2/(-10)). -34/9 What is (((-402)/134)/(2/((-12)/63)))/(-10)? -1/35 What is the value of 850*-135*(-129)/870750? 17 What is the value of (654/4142)/((-16)/(-532))? 21/4 What is (-7)/21*(-95700)/638? 50 3/(-25)*685/(-274) 3/10 Calculate (112/512*16)/((-231)/495). -15/2 ((-223340)/15462*(-6)/(-5))/((-3)/3*2) 26/3 432/(-594)*(1152/4224)/((-4)/242) 12 What is the value of 63*53/(-46746)*(-294)/(-15)? -7/5 3*1*((-6)/4)/(126*7031/(-2212)) 1/89 54/729*6/(-19)*(-6)/(-16)*-2 1/57 ((-242)/(-2024))/((-77)/(-84)) 3/23 What is the value of 54/(-9)*2/3*(-24)/31536*-9? -2/73 Calculate (((-21)/(-12))/((-1)/(-4)))/(19/(-228)). -84 15/340*(-9000)/10125 -2/51 What is -30*2/55*(-3025)/525*7? 44 What is the value of ((5343/2028)/137)/(2/(-16))? -2/13 (14/21)/(25/(-115)*190/(-1425)) 23 What is the value of (1104/2392)/(11/((-3432)/(-160)))? 9/10 What is 546/33930*10*12/(-14)? -4/29 Evaluate (((-10675)/(-6615))/(-61)*3)/((-5)/1). 1/63 What is (-21*(-16)/1008)/((-5)/(-870))? 58 64/3120*20*(-24)/(-32) 4/13 What is the value of (15745/1005*3/(-1))/(2/2)? -47 What is the value of (10/(-54))/(-150*(-102)/(-6120))? 2/27 Calculate (-736)/42*(-11)/((-352)/72)*37828/10808. -138 Evaluate (-126)/15*3165/(-422). 63 What is the value of ((-4)/48)/((-28)/1680*-230)? -1/46 Evaluate -5*(-5)/(-60)*3096/(-602)*21/(-12). -15/4 Calculate (-41)/((-118326)/(-117))*12/18. -1/37 8/(160/(-11))*(-58650)/17204 15/8 Calculate -24*-25*14/1400. 6 Calculate (((-11200)/(-8500))/112)/((-27)/15). -1/153 Evaluate 1015/(-14)*1716/(-8294). 15 ((48/512)/((-9)/28)*8)/(14/(-10)) 5/3 Calculate (-5)/((-24)/((14/14)/((-8)/(16/(-1))))). 5/12 What is (32/(-2))/((-128)/336*3/(-4))? -56 Evaluate ((24/5)/4)/(((-70)/350)/(1/2)). -3 Evaluate -12*48/(39936/8)*((-80)/(-3))/5. -8/13 What is the value of 1*194/(-2)*(-2*(-11)/22)/(-1)? 97 What is the value of 45/(-15)*42/21? -6 Evaluate 4/112*35/(-30)*-4. 1/6 What is 99/270*(27625/6435)/85? 1/54 Calculate ((-6)/208)/(5937/(-284976)). 18/13 Evaluate (-12*8/(-132))/((-1653)/12122). -16/3 ((-21)/9)/(-77*(-50)/(-70950)) 43 What is the value of 3/(-434)*(-578646)/167994? 1/42 Calculate (-6)/4*65*160/358800. -1/23 What is the value of ((-18)/(-567))/((6/18)/(102/(-34)))? -2/7 What is (-20)/64*-4*(-2088)/43065? -2/33 Evaluate (1/(-980))/(6538/(-52304)). 2/245 What is (-7504)/469*196/(-32)? 98 Calculate 2352/1512*(-396)/1078. -4/7 Calculate (-200446)/(-366)*54/279. 106 What is -21*(-32)/(-1008)*(-1827)/14? 87 Calculate (30/102)/(1095/(-438)). -2/17 What is the value of ((-33840)/450)/188*1/(4/(-230))? 23 Evaluate (2/(-1))/((-8)/14*12/((-2376)/(-21))). 33 What is (340/221)/(-20)*((-18)/(-72))/((-2)/(-8))? -1/13 What is the value of (-2196)/9882*(-12)/(-8)? -1/3 What is the value of (2/(-7))/((-141)/329*18/6)? 2/9 What is (2/(-42)*7*(-91)/377)/(28/72)? 6/29 -59*168/(-3304)*((-4)/(-10))/(6/365) 73 What is the value of 288/(-45)*(-40)/160*25? 40 What is (5/(-210)*-186)/((-904)/18984)? -93 Evaluate 1840/46*(-76)/(-665). 32/7 Calculate ((12/(-140))/(2/10))/(2*6/(-152)). 38/7 What is the value of (72/30*45/72)/((-2)/(-136)*2)? 51 Calculate ((-50)/(-35))/(45/(-945)). -30 -23*(-2838)/(-9890)*-5 33 (1/(-3*1))/((-1330)/(-67830)) -17 Evaluate 3/4*(-392)/126*16/(-19824)*18. 2/59 ((-10)/(-200))/((8466/(-120))/(-83)) 1/17 What is 24/10*((-92)/1656)/((-5)/(-20)*1)? -8/15 What is the value of ((-1136376)/(-78915))/(8/(-10))? -18 Calculate (10/8*-1)/(((-4416)/(-3840))/23). -25 What is 315/(-25)*515/927*(-33)/(-7)? -33 What is the value of (-460)/(-12)*3/(-6)*4/20*-24? 92 What is the value of ((-8)/(-9)*-1)/((-25)/(122850/84))? 52 Calculate (-4*7)/7*((-580)/(-360))/29. -2/9 Calculate ((-50)/40)/(11/3696*35). -12 What is ((-441)/(-378))/(28/12)*(-858)/13? -33 What is (3*3/2*48/(-80))/((-918)/765)? 9/4 Evaluate 33/(-2)*714/13464*88. -77 What is the value of 21/(17/(-952)*14)? -84 Evaluate ((-13)/130*2/3)/(((-2808)/(-1260))/26). -7/9 What is ((9116/(-3010))/(1/5))/((-6)/42*2)? 53 What is the value of (-2)/4*(-4)/22*(-7205)/23580? -1/36 Calculate ((-7128)/16)/9*(-2242)/(-3363). -33 Calculate (4*7/2)/((3/30)/(3057/(-5095))). -84 Calculate 20/3*((-8)/6)/((-38)/(-171)). -40 What is the value of ((-61)/((-7*(-5)/10)/((-35)/(-10))))/1? -61 Evaluate (1/(-12)*-22)/(5/(-15))*(-22204)/1586. 77 Evaluate (-1)/((-105)/4)*385*21/11550. 2/75 (848/1696)/(2/(-24))*(-50)/6 50 Evaluate -6*1/12*14/350*-70. 7/5 (-21)/(-5)*(-16340)/1634 -42 What is the value of (-74)/259*6762/69? -28 Evaluate (1008/(-352))/((-462)/1089). 27/4 What is ((-2)/(-44))/((-863)/(-51780))? 30/11 What is ((-720)/504)/((-6)/21)? 5 Evaluate ((-1639)/298*(-12)/825*-5)/(2/61). -61/5 What is the value of ((-2130)/(-12))/71*(48/45)/(-8)*255? -85 What is 28/(-20)*1590/(-2226)? 1 What is the value of 1/(-30)*(((-102)/(-12))/(-17))/((-5)/(-20))? 1/15 408/(-68)*(-46)/12 23 What is (((-22)/(-8))/(-43*(-12)/1032))/(2/(-4))? -11 Calculate (-138859)/(-79348)*12*(-4)/(-6). 14 1/55*-2*98/168*(-20)/21 2/99 What is (((-1)/2)/((-989)/172))/((-32)/(-48))? 3/23 Calculate ((-5175)/(-30))/((-405)/(-108)). 46 Evaluate ((-3)/(252/(-200)))/(41125/57575). 10/3 What is ((-3720)/1085)/(41/574)? -48 What is ((200/(-44))/(-5))/(756/58212)? 70 What is the value of 9/((-15)/(-5)*(-18)/(-486))? 81 (-24)/(-72)*2*(9/12)/(1860/80) 2/93 Evaluate (1133/23793)/((-1)/(-9)). 3/7 What is the value of ((-380)/380)/(183/(-6))? 2/61 Evaluate 109/((-200560)/1196)*4. -13/5 What is the value of (7/((-28)/(-3))*(-72)/54)/(2/(-118))? 59 (-48)/15480*45*(200/12)/10 -10/43 What is (10/165)/((-76)/570)*(-1)/2? 5/22 What is -74*((45/3)/(-75))/1*25/(-5)? -74 Evaluate ((-8)/(-10))/(10/220)*16/((-512)/80). -44 What is (-26)/(-3042)*(-3)/(-3)*9/(-36)*12? -1/39 Evaluate 374075/34530*8/26. 10/3 What is (-4)/((-4)/((-416)/13))*(-4)/8? 16 ((12/140)/((-266)/(-49)))/((-648)/864) -2/95 ((-4272)/(-445))/((-294)/(-3185)) 104 Evaluate (1800/500*23/46)/(4/(-5)). -9/4 Calculate (24/2912*-4)/(-19*6/(-399)). -3/26 What is the value of ((-524)/24*4)/(((-8320)/240)/(-52))? -131 (-408)/(-680)*(-28)/105*-10 8/5 What is (330/(-9))/11*162/(-144)*4/(-54)? -5/18 What is (163/(326163/(-1794)))/(2/(-58))? 26 What is 4*(-7)/7*-11*(-102)/(-187)? 24 -2*36/(-30)*(534/396)/(-89) -2/55 Evaluate 477/75207*473*3/((-270)/(-8)). 4/15 What is (-26)/247*(-23)/(-69)? -2/57 What is the value of (19430/(-603))/((-80)/(-96))*6/8? -29 Evaluate ((-47)/(-6110)*143)/(1/30). 33 46*(-90)/(-60)*(-7)/(-126)*-18 -69 What is the value of (-33)/63*336/((-8176)/(-73))? -11/7 What is the value of (6/(-10)*1)/((342/(-11400))/((-6)/(-5)))? 24 1505/1032*-1*4 -35/6 (288/16080)/(99/(-22)*4/(-30)) 2/67 Calculate (7/(7/(-24)))/((-30)/(-4)*(-1773)/(-62055)). -112 Calculate (1989/323)/13*57. 27 What is the value of 18/792*22*(99/(-423))/11? -1/94 Calculate (5978/44835)/(2/(-27)). -9/5 Evaluate 7*11/7*(-19)/1710*-30*6. 22 What is 6/20*(-175)/70*10/(-270)? 1/36 What is 1085/(-310)*1248/84? -52 What is the value of (-16)/((-51)/612*6)? 32 Evaluate (480/(-200)*(-190)/6)/((-14)/2*-2). 38/7 What is (36/(-30240)*-30)/((-18)/210)? -5/12 Calculate ((100100/(-352))/65)/(-15*5/(-180)). -21/2 What is the value of (-120)/36*366/305*4/((-24)/9)? 6 What is the value of (
{ "pile_set_name": "DM Mathematics" }
1)/(8/(-8)). Put x, 7, 3 in decreasing order. 7, 3, x Let t be (-2)/18*(-4 + 1). Let b = -0.13 + 0.13. Let p = 0.4 - b. Sort t, p, -2. -2, t, p Let x be (-19)/(-4) + (15/5)/12. Let p be (-4)/12 - 11/3. Put x, p, -3 in increasing order. p, -3, x Suppose 0*b = -2*b - 5*k - 13, 0 = 2*b - 3*k - 11. Let z = 3.8 + -0.8. Put z, -2, b in increasing order. -2, b, z Let y = 23 + -18. Let u be ((-69)/24 - -2) + 1. Sort 0.5, y, u in decreasing order. y, 0.5, u Let u = -8 + 7. Put 5, u, 11 in ascending order. u, 5, 11 Suppose -6*l + 19 = -l - o, 0 = -2*l + 5*o + 3. Put -2, -16, l in descending order. l, -2, -16 Let j = 63 + -66. Sort -1, 0, j in ascending order. j, -1, 0 Let i = -15 + 15.1. Sort 3, 0, -4, i in increasing order. -4, 0, i, 3 Suppose 4*m + 8 = 2*q, 4*q - 2*m = -5*m - 17. Let d = q + 5/2. Sort -5, -2, d in increasing order. -5, -2, d Let y(f) = f**2 - 12*f + 1. Let g be y(12). Put -5, 0, g in increasing order. -5, 0, g Let c(p) = -p**3 + 6*p**2 - 5*p - 3. Let r be c(4). Suppose -11 - r = -5*q. Let k = -5.11 - -0.11. Put 1/5, k, q in ascending order. k, 1/5, q Let r = 0.09 - 0.59. Put r, 2/13, 2/11 in increasing order. r, 2/13, 2/11 Let y = 0.01 - -1.99. Sort 0.5, y, -2 in ascending order. -2, 0.5, y Let i(a) = 2*a**2 - a - 15. Let l be i(3). Put 5, -2, 2, l in descending order. 5, 2, l, -2 Let y(x) = x - 3. Let a be y(5). Let t = -0.02 - -0.52. Let w = -3 + 3. Put t, w, a in descending order. a, t, w Let k(d) = -d**3 - 10*d**2 - 8*d + 4. Let t be k(-9). Sort t, -2, -3. t, -3, -2 Let f = -0.15 - -0.13. Let g = -115 - -116.02. Let j = g + f. Sort -3/5, -0.3, j in increasing order. -3/5, -0.3, j Let r(m) = m**3 - 2*m**2 - 4*m + 1. Let z be r(3). Put -3, 4, z in ascending order. -3, z, 4 Let j(q) = -2*q. Let g be j(-2). Suppose -g*n - 13 - 3 = 0. Let u be n/4*(1 - 1). Put -1, u, 1 in ascending order. -1, u, 1 Let w(d) = -d - 2. Let r be w(-5). Let a = 2 + 0. Suppose -2*y = 4*m + 8, 3*m + 4*y = 8*y - 28. Sort r, a, m in ascending order. m, a, r Let a = -6 + 8. Let z = 4 - a. Suppose -2*r - 3*r - 5 = 0. Sort r, -1/5, z. r, -1/5, z Suppose 6 = -k + 2*g, 4*k - 4*g + 5 = 1. Let t be (-2 + (-18)/(-8))*k. Sort t, -5, -7 in descending order. t, -5, -7 Let a = 1 + 0. Let w be (-4 - -5)/(2/38). Let l = 21 - w. Put l, 4, a in ascending order. a, l, 4 Suppose 4*i + o = -13, -2*i + o - 11 = 2*i. Let s be (2 - 2)/(-3)*1. Suppose s*d - 5*d = 0. Sort i, d, 5 in descending order. 5, d, i Let m = -3.02 + -0.38. Let k = m + 3.57. Let r = -0.07 + k. Sort -2, 2/7, r in descending order. 2/7, r, -2 Let k(f) = f**2 - 2*f - 4. Let o be k(4). Suppose 2*n + 10 = -d - 4*d, 4*d = 2*n + 10. Let u = -3 + -1. Sort o, u, n in descending order. o, u, n Let n = -60/7 + 57/7. Put 2/5, n, 5 in descending order. 5, 2/5, n Let r = -3 + -2. Let b = 379/5 - 77. Sort 2, b, r in decreasing order. 2, b, r Let r be ((-2)/3)/((-4)/(-6)). Suppose n + 12 = -2*w - n, -3*w - 14 = -n. Put w, r, 1 in decreasing order. 1, r, w Let w(d) = -d**2 + 7*d - 6. Let i be w(4). Suppose 4*b = 2*b - i. Sort 0, -0.4, b. b, -0.4, 0 Let u be 361/165 + (-3)/9. Let r = -16/11 + u. Sort 5, r, -3 in ascending order. -3, r, 5 Let f = -19 - -16. Sort -5, -2/7, f. -5, f, -2/7 Let j be -4*-2*2/8. Put 5, 0, j in ascending order. 0, j, 5 Let k = -2 + 2.08. Let l = -3.92 - k. Put l, -2/13, 0 in decreasing order. 0, -2/13, l Let a = -3.3 - -3. Let z be (-5)/(140/(-16)) + 0. Put 1, a, z in ascending order. a, z, 1 Let s be 1/((9/15)/(-3)). Put s, -1, -4 in increasing order. s, -4, -1 Let i(w) = w**2 - 5*w - 6. Let l be i(6). Sort l, 5, -1 in decreasing order. 5, l, -1 Let z = 45 + -42. Put 4, z, -4 in increasing order. -4, z, 4 Let h = -1.3 + 1.21. Let y = h - 2.11. Let x = y - -0.2. Sort x, -1, 1/5 in ascending order. x, -1, 1/5 Suppose 2*g + 2*n = -2*g + 14, -6 = -3*g + 3*n. Suppose -17 = -2*v - 5*i, -1 - 6 = 2*v - 3*i. Sort g, v, -4 in increasing order. -4, v, g Let k = 6 + -2. Suppose 2*q - 13 = -s, -k*s - 2*q + 4 = -24. Put s, -6, -5 in increasing order. -6, -5, s Suppose 0*g - 5*g = 5. Let r be -3*(3*g)/3. Let a(z) = -z**3 + 7*z**2 - 4*z - 10. Let d be a(6). Sort -5, r, d in decreasing order. r, d, -5 Let k = -144/5 + 29. Let d = 4 - 6. Let t be 11/20 + d/(-8). Sort 5, t, k in ascending order. k, t, 5 Suppose -5*p - 49 = 6. Put 4, p, -4 in descending order. 4, -4, p Let m = 6 + -3. Let n = 3 - 2.9. Sort m, -3, n. -3, n, m Let y = 11 - 5. Sort 2, y, 5 in descending order. y, 5, 2 Suppose 4*p = -3 - 17. Suppose -b = -4*b. Let o be b/(-3*(-3)/9). Put o, p, -2 in descending order. o, -2, p Let u = 18 - 23. Put 2, u, -4, -3 in increasing order. u, -4, -3, 2 Let v(z) = z**2 - 3*z - 2. Let u be v(4). Suppose 3*n + 3*w = -u*n - 32, 4 = -4*n + 3*w. Sort -3, n, 1 in ascending order. n, -3, 1 Let z be 55/(-35) - 6/14. Let p = -0.2 + 0.3. Put z, -0.4, p in decreasing order. p, -0.4, z Let t be -1 + 3/(6/4). Sort -5, -1/2, t in increasing order. -5, -1/2, t Let x = -80 - -37. Let n = 130/3 + x. Sort 1/2, n, 0.2 in ascending order. 0.2, n, 1/2 Let w(m) = 2*m**2 - 7*m - 1. Let z be w(5). Let y(g) = g - 18. Let u be y(z). Put 0, u, -1 in descending order. 0, -1, u Let j be 165/(-5) - (-5 + 1). Let l = j - -26. Sort -2, -7, l in increasing order. -7, l, -2 Suppose z = -2*z + 9. Suppose -2*m - 3*w + 4 = -0*m, -2*m + 3*w = -16. Sort 1, z, m in descending order. m, z, 1 Let c = 0.03 + -0.13. Let g = 4 + -5. Sort c, g, -1/7 in ascending order. g, -1/7, c Let v = 6 - 8. Let q(o) = o**3 + 7*o**2 + 5*o - 1. Let y be q(-6). Suppose 0 = i + 3*i + 12. Sort v, i, y. i, v, y Let v = 0.02 + -5.02. Let b = -8 - v. Let r = 0.3 + -0.1. Sort b, 4, r. b, r, 4 Let n = 3 + -8/3. Sort n, 4, -3/2 in ascending order. -3/2, n, 4 Let r = -0.6 + -0.4. Sort 0.02, 0.4, r in decreasing order. 0.4, 0.02, r Let f = -11 + 12. Let a = 0 - f. Put -1/6, a, -4 in ascending order. -4, a, -1/6 Let q = 49 - 53. Sort -2, 0, q. q, -2, 0 Suppose 4*t = -4*n + 20, 4*t - 2 - 12 = -n. Sort -4, 4, 0, n in descending order. 4, n, 0, -4 Suppose -2*q - 9 = q. Sort -1, 5, 0, q in decreasing order. 5, 0, -1, q Let j(q) = q**3 + q**2 - q. Let g be j(-1). Sort -4, 5, g. -4, g, 5 Let f = 5 - 8. Put -0.5, f, 0.2 in decreasing order. 0.2, -0.5, f Let u be 4*-5 + 2/(-2). Let x be u/20*-2 - 2. Sort x, -5, 2/3 in increasing order. -5, x, 2/3 Let n = 5 + -2. Suppose -2*f = n*f. Suppose 5*g = -f*g. Sort 3, -4, g in decreasing order. 3, g, -4 Let v be ((-87)/330)/((-4)/(-10)). Let x = v + 10/11. Let w = -0.3 + 2.3. Put w, -3, x in descending order. w, x, -3 Let i = -2 - -7. Sort i, -2, -5 in decreasing order. i, -2, -5 Let q = 9.8 + -9. Let x = q + -0.4. Suppose 3*m + 5 = -4. Put m, x, 5 in decreasing order. 5, x, m Let m(j) be the third derivative of j**6/120 - j**5/10 + j**4/24 - 2*j**3/3 + j**2. Let v be m(6). Let o be -1 - 0 - (-6 + 0). Sort o, v, -1 in ascending order. -1, v, o Let y = -12/35 - -1/7. Put -1, y, 3/4, -0.1 in ascending order. -1, y, -0.1, 3/4 Let u be 1*-4 + 3 + -4. Suppose 4 = q + 5*d - 3*d, -4*q = 5*d - 1. Let n be 10/q*(-4)/(-30). Put 1/5, n, u in descending order. 1/5, n, u Suppose 0 = 3*u + 8 + 1. Sort 3, u, -5 in decreasing order. 3, u, -5 Let n be (-8)/(-14) + 8/(-14). Suppose -4*z + 3*a - 6 = 0, -3*a - 18 = -n*z + 4*z. Put -2, 5, z in increasing order. z, -2, 5 Let d(y) = y**2 + 4*y - 5. Let g be d(-5). Suppose 0 = 3*s - g*s. Let c(l) = -l**2 + 6*l - 5. Let q be c(6). Sort 4, s, q in decreasing order. 4, s, q Let x = -0.01 - 9.99. Let j = -5 - x. Let y be (0*(-3)/(-6))/2. Sort j, 2, y. y, 2, j Let q = 1 - 1. Suppose -5*b + 11 = -4. Suppose 5*a = -2*p - 33, -9 = -4*p + 3*a + 2*a. Put q, p, b in descending order. b, q, p Let b = -0.04 + 5.04. Sort 0.02, b, -4, -1/5. -4, -1/5, 0.02, b Let o be 2/28*1234/3. Let p = o + -89/3. Put -0.4, p, -4 in descending order. p, -0.4, -4 Let f = -15 + 19. Sort 0, -4, f. -4, 0, f Let g be (-20)/175*(-7)/2. Put -3/2, g, 5 in descending order. 5, g, -3/2 Let f(w) = -w**2 + 5*w + 3. Let h be f(4). Let k = 3 - h. Let x be (1 - (0 - -2))*-1. Sort k, x, 3. k, x, 3 Suppose 2*f = 4*w + 26, w + 4*w = -4*f - 13. Suppose b + 0 = -3, -4*b = 5*z + 2. Suppose -z*g - 4 = -0*t + 3*t, 5*t = -2*g. Sort t, w, -3. w, -3, t Let t(b) = -b + 3. Let w be t(2). Put -4, -2, w in descending order. w, -2, -4 Suppose 4*j - 23 = 1. Let p be (j/5)/((-1)/5). Let q
{ "pile_set_name": "DM Mathematics" }
q: 1, g: 1}? 1/28 Calculate prob of picking 1 v and 1 u when two letters picked without replacement from kdaaujaakkavuajau. 3/136 Four letters picked without replacement from fbfbfbcffccc. What is prob of picking 3 c and 1 b? 4/165 What is prob of picking 2 h when two letters picked without replacement from {l: 10, h: 4}? 6/91 Calculate prob of picking 2 u when two letters picked without replacement from {i: 1, k: 1, y: 4, q: 2, u: 2}. 1/45 Two letters picked without replacement from {c: 4, m: 4, k: 2, a: 5, h: 2}. Give prob of picking 1 h and 1 a. 5/68 What is prob of picking 1 x and 3 s when four letters picked without replacement from {x: 1, s: 5, e: 14}? 2/969 Two letters picked without replacement from juxxjqxxxjxxj. Give prob of picking 1 x and 1 j. 14/39 Three letters picked without replacement from {b: 1, i: 2, v: 2, y: 2, x: 1}. Give prob of picking 1 b and 2 v. 1/56 Three letters picked without replacement from {s: 1, k: 1, m: 2, x: 2}. Give prob of picking 2 m and 1 k. 1/20 What is prob of picking 1 r and 3 j when four letters picked without replacement from {m: 4, u: 4, j: 3, r: 3}? 3/1001 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from pkkkffff. 3/28 What is prob of picking 1 b and 2 v when three letters picked without replacement from vvvvvvvbvbvvbvvv? 117/280 What is prob of picking 2 t and 2 n when four letters picked without replacement from {n: 5, t: 5}? 10/21 What is prob of picking 1 w, 1 m, and 2 o when four letters picked without replacement from {c: 3, w: 7, o: 4, m: 1, d: 1}? 3/130 Four letters picked without replacement from {g: 1, r: 6, h: 7}. Give prob of picking 3 r and 1 g. 20/1001 Four letters picked without replacement from vttvvtv. Give prob of picking 1 v and 3 t. 4/35 What is prob of picking 1 j and 1 k when two letters picked without replacement from zgmjgklkgzmj? 2/33 Two letters picked without replacement from olttoty. What is prob of picking 1 y and 1 o? 2/21 Calculate prob of picking 1 g and 2 c when three letters picked without replacement from cccricgcnr. 1/12 Four letters picked without replacement from {q: 1, n: 2, w: 7, g: 3, e: 4}. Give prob of picking 1 e, 2 w, and 1 q. 3/85 Three letters picked without replacement from bbrimiririwbubrbriu. Give prob of picking 1 m, 1 r, and 1 w. 5/969 Calculate prob of picking 1 e and 1 f when two letters picked without replacement from hegfxxxxgdxgx. 1/78 Four letters picked without replacement from {q: 9, p: 1, w: 4}. What is prob of picking 4 q? 18/143 What is prob of picking 1 e and 3 p when four letters picked without replacement from ttpppttppeete? 6/143 Four letters picked without replacement from yxbybbxyy. Give prob of picking 1 x and 3 y. 4/63 Four letters picked without replacement from {n: 2, x: 2, b: 3, i: 2, d: 2, z: 1}. What is prob of picking 1 i, 1 d, 1 b, and 1 z? 4/165 Two letters picked without replacement from msnaeznaz. What is prob of picking 1 e and 1 m? 1/36 Two letters picked without replacement from tzyyvvyvhhjvyvyv. Give prob of picking 1 y and 1 h. 1/12 Four letters picked without replacement from {s: 2, u: 7, j: 2}. What is prob of picking 1 j, 2 s, and 1 u? 7/165 Three letters picked without replacement from utuavvnavv. What is prob of picking 2 v and 1 u? 1/10 Two letters picked without replacement from {f: 2, i: 1, w: 4}. What is prob of picking 2 f? 1/21 Calculate prob of picking 1 i, 1 r, and 1 e when three letters picked without replacement from ureruni. 2/35 What is prob of picking 2 o when two letters picked without replacement from {m: 10, u: 2, o: 2}? 1/91 What is prob of picking 3 g and 1 o when four letters picked without replacement from oxccczogocgozcgozoqc? 2/1615 Two letters picked without replacement from {w: 3, q: 6, g: 1, x: 3, r: 1, l: 3}. Give prob of picking 1 q and 1 x. 9/68 Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {s: 6, x: 6}. 9/22 What is prob of picking 1 y and 3 n when four letters picked without replacement from qetenyqeyqkenynkn? 3/595 What is prob of picking 4 t when four letters picked without replacement from {b: 11, t: 1}? 0 Calculate prob of picking 1 e and 2 s when three letters picked without replacement from xpppsxppeepsxepxsf. 3/272 Calculate prob of picking 4 r when four letters picked without replacement from rlrrrrrrrrrrrrr. 11/15 What is prob of picking 2 o and 2 d when four letters picked without replacement from {d: 5, o: 8}? 56/143 Calculate prob of picking 1 g and 3 n when four letters picked without replacement from {m: 2, n: 3, s: 5, a: 2, g: 6}. 1/510 Calculate prob of picking 1 n and 1 a when two letters picked without replacement from ansrqqqatrr. 2/55 Three letters picked without replacement from {m: 12, e: 2, r: 3}. What is prob of picking 3 m? 11/34 Four letters picked without replacement from rlvrvlvfyyyfrvw. What is prob of picking 1 f, 2 r, and 1 v? 8/455 Three letters picked without replacement from fsikx. What is prob of picking 1 f, 1 s, and 1 k? 1/10 Calculate prob of picking 1 s, 2 o, and 1 m when four letters picked without replacement from {o: 2, j: 2, s: 1, m: 4}. 2/63 Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, y: 3}. 2/7 Calculate prob of picking 3 y when three letters picked without replacement from {z: 3, y: 5, b: 3, u: 6}. 1/68 Three letters picked without replacement from {w: 3, c: 3, y: 4, d: 2, g: 2, h: 4}. What is prob of picking 1 c, 1 w, and 1 y? 3/68 Three letters picked without replacement from bbbbbbb. What is prob of picking 3 b? 1 Two letters picked without replacement from {z: 2, g: 2, e: 2, f: 2}. What is prob of picking 1 e and 1 z? 1/7 Three letters picked without replacement from nnn. Give prob of picking 3 n. 1 Three letters picked without replacement from wwwwwiiwiw. Give prob of picking 3 w. 7/24 Two letters picked without replacement from zwkwzkwwzzzwzwkzzkz. What is prob of picking 1 z and 1 k? 4/19 Two letters picked without replacement from {n: 5, y: 2, q: 8, r: 2, x: 1, o: 2}. Give prob of picking 1 x and 1 n. 1/38 Three letters picked without replacement from {w: 10, q: 10}. Give prob of picking 3 w. 2/19 Two letters picked without replacement from {w: 1, k: 1, t: 1}. Give prob of picking 1 t and 1 w. 1/3 Calculate prob of picking 1 u, 1 s, and 2 i when four letters picked without replacement from sisibuba. 1/35 Four letters picked without replacement from eeexeexexeeeee. Give prob of picking 2 x and 2 e. 15/91 What is prob of picking 2 t when two letters picked without replacement from ttge? 1/6 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 17, b: 1}. 1/9 What is prob of picking 1 j and 2 w when three letters picked without replacement from {j: 14, w: 4}? 7/68 What is prob of picking 2 u and 1 c when three letters picked without replacement from {r: 4, c: 3, u: 7}? 9/52 Three letters picked without replacement from qzllhlq. What is prob of picking 1 l, 1 z, and 1 q? 6/35 Calculate prob of picking 1 l and 2 n when three letters picked without replacement from {l: 1, g: 1, n: 7}. 1/4 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {i: 1, s: 2, g: 1, p: 3}. 2/21 Calculate prob of picking 3 p when three letters picked without replacement from ppppkkpkppp. 56/165 What is prob of picking 1 j, 1 a, 1 h, and 1 n when four letters picked without replacement from {a: 1, j: 1, e: 2, n: 1, h: 1, c: 1}? 1/35 Three letters picked without replacement from {j: 1, h: 4, y: 6}. Give prob of picking 1 j and 2 y. 1/11 Calculate prob of picking 3 l when three letters picked without replacement from yxlllxylllyxxy. 5/91 Two letters picked without replacement from ygnzennegczencnzcezz. Give prob of picking 1 c and 1 y. 3/190 Calculate prob of picking 1 i and 2 p when three letters picked without replacement from npnpcaicppcappnpppp. 15/323 Three letters picked without replacement from vvylovyyqqllqqqfyv. Give prob of picking 2 l and 1 v. 1/68 What is prob of picking 1 m and 1 y when two letters picked without replacement from gyjymjssssjm? 2/33 What is prob of picking 4 b when four letters picked without replacement from rrrbbbbbbbb? 7/33 Calculat
{ "pile_set_name": "DM Mathematics" }
1, k: 2, f: 1}? 1/35 Calculate prob of picking 2 j when two letters picked without replacement from {j: 5, v: 2, c: 2, z: 2, i: 2, f: 3}. 1/12 Calculate prob of picking 1 o, 1 c, and 1 y when three letters picked without replacement from {c: 1, q: 1, y: 2, o: 1}. 1/5 Calculate prob of picking 1 n and 2 r when three letters picked without replacement from {l: 7, n: 1, r: 3, g: 1}. 3/220 Calculate prob of picking 1 m, 1 n, and 2 a when four letters picked without replacement from {n: 2, c: 3, y: 1, p: 1, m: 2, a: 3}. 4/165 Four letters picked without replacement from {z: 2, f: 1, q: 1, c: 1, k: 1, n: 2}. Give prob of picking 1 q, 1 f, 1 c, and 1 k. 1/70 Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {n: 2, a: 8, r: 3, b: 2, i: 2}. 1/34 Calculate prob of picking 1 r and 3 d when four letters picked without replacement from dddrdrrddd. 1/2 What is prob of picking 1 g and 1 y when two letters picked without replacement from {r: 1, y: 2, g: 1, k: 1, q: 1, x: 1}? 2/21 Three letters picked without replacement from bbboojbob. Give prob of picking 3 o. 1/84 Two letters picked without replacement from wgwg. What is prob of picking 2 w? 1/6 Four letters picked without replacement from {f: 7, y: 3, a: 3, d: 1}. What is prob of picking 1 y and 3 f? 15/143 Three letters picked without replacement from bcxxb. Give prob of picking 1 c, 1 x, and 1 b. 2/5 Three letters picked without replacement from {e: 1, k: 1, g: 2, h: 1, b: 1, x: 2}. What is prob of picking 2 g and 1 b? 1/56 What is prob of picking 1 m and 2 a when three letters picked without replacement from {m: 1, a: 12, j: 6}? 22/323 Calculate prob of picking 4 t when four letters picked without replacement from {m: 15, t: 4}. 1/3876 Four letters picked without replacement from tqpsqzaaasqt. Give prob of picking 1 s, 1 p, and 2 q. 2/165 What is prob of picking 1 a and 2 f when three letters picked without replacement from aafaaaaaataafa? 11/364 Two letters picked without replacement from jruuuuumruwururmu. Give prob of picking 1 w and 1 r. 1/34 Four letters picked without replacement from {n: 2, y: 7}. Give prob of picking 2 n and 2 y. 1/6 What is prob of picking 2 r when two letters picked without replacement from {c: 3, r: 2, j: 13}? 1/153 What is prob of picking 1 q and 1 b when two letters picked without replacement from {z: 1, b: 1, q: 4, o: 7}? 2/39 Four letters picked without replacement from {c: 4, s: 7, v: 6}. What is prob of picking 3 c and 1 v? 6/595 What is prob of picking 1 y and 1 w when two letters picked without replacement from vuvyuujvjujvwuuuuvw? 2/171 Three letters picked without replacement from qqqmmmqhmq. Give prob of picking 3 q. 1/12 What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 1, l: 2}? 1/6 Calculate prob of picking 2 d when two letters picked without replacement from ddddd. 1 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nunnhpllsnsp. 4/33 Calculate prob of picking 2 u and 1 p when three letters picked without replacement from uppvpupvpu. 1/8 Calculate prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from offfyofpkyap. 1/55 Two letters picked without replacement from {u: 3, i: 4}. Give prob of picking 2 u. 1/7 Two letters picked without replacement from {w: 10, s: 1, o: 1, g: 1}. Give prob of picking 1 s and 1 o. 1/78 Two letters picked without replacement from wewvdkk. Give prob of picking 1 d and 1 v. 1/21 What is prob of picking 3 n and 1 s when four letters picked without replacement from {g: 7, p: 3, s: 4, n: 5}? 10/969 Calculate prob of picking 3 m and 1 s when four letters picked without replacement from {z: 5, m: 7, s: 1, u: 6}. 35/3876 What is prob of picking 1 r and 2 h when three letters picked without replacement from {h: 4, d: 1, r: 2, s: 4, j: 2, e: 1}? 3/91 Two letters picked without replacement from {o: 6, w: 3, b: 4, n: 4}. What is prob of picking 2 w? 3/136 Three letters picked without replacement from {j: 9}. What is prob of picking 3 j? 1 What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 16}? 40/51 Two letters picked without replacement from {u: 2, g: 2, n: 1, i: 1, f: 1}. Give prob of picking 2 u. 1/21 Three letters picked without replacement from yxxtxtyyxixxy. Give prob of picking 2 t and 1 i. 1/286 Calculate prob of picking 2 y when two letters picked without replacement from {k: 3, y: 9}. 6/11 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from cmmcmmmcxmc. 4/55 Four letters picked without replacement from hhwhkyuhhy. What is prob of picking 1 k, 1 y, and 2 h? 2/21 What is prob of picking 1 m and 3 z when four letters picked without replacement from {m: 4, z: 3, d: 2}? 2/63 What is prob of picking 3 u when three letters picked without replacement from uuuvuuuuvuuuu? 15/26 Calculate prob of picking 1 r and 2 n when three letters picked without replacement from wfnrnnwnwnwnnwgww. 21/680 What is prob of picking 2 m when two letters picked without replacement from mhkjfmjsh? 1/36 Two letters picked without replacement from debddvn. What is prob of picking 1 b and 1 v? 1/21 Two letters picked without replacement from {j: 9, g: 7}. Give prob of picking 2 g. 7/40 Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 14, u: 2, n: 2, b: 1, l: 1}. 7/95 Two letters picked without replacement from {v: 4}. What is prob of picking 2 v? 1 Three letters picked without replacement from lpjje. Give prob of picking 1 e, 1 p, and 1 j. 1/5 Three letters picked without replacement from lhllhllhll. Give prob of picking 1 h and 2 l. 21/40 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qphhhhhooohpc. 1/13 Two letters picked without replacement from {g: 1, h: 4, b: 5, q: 3, e: 3, a: 4}. What is prob of picking 1 e and 1 h? 6/95 Three letters picked without replacement from nnaagknannnn. Give prob of picking 2 n and 1 k. 21/220 Two letters picked without replacement from {n: 2, h: 6}. Give prob of picking 2 h. 15/28 Four letters picked without replacement from {e: 4, l: 14}. What is prob of picking 2 l and 2 e? 91/510 What is prob of picking 2 u when two letters picked without replacement from {u: 7, x: 5}? 7/22 What is prob of picking 1 t and 2 j when three letters picked without replacement from jjjryrjrtyyjjryjjrt? 56/969 What is prob of picking 4 t when four letters picked without replacement from ttttttttt? 1 Calculate prob of picking 1 y and 1 t when two letters picked without replacement from twwtwyyttttgttggt. 9/68 Three letters picked without replacement from {g: 1, d: 11, q: 2, f: 1}. Give prob of picking 3 d. 33/91 Three letters picked without replacement from {j: 1, b: 1, g: 3, l: 2, o: 12, z: 1}. What is prob of picking 1 g, 1 o, and 1 j? 3/95 Four letters picked without replacement from {z: 2, y: 2, w: 4}. What is prob of picking 1 y and 3 w? 4/35 Calculate prob of picking 1 s, 1 z, and 2 p when four letters picked without replacement from {z: 1, y: 4, w: 1, s: 1, p: 2}. 1/126 Two letters picked without replacement from jcdjcdccj. Give prob of picking 1 j and 1 c. 1/3 Two letters picked without replacement from iwiiwififwiwixiiffiu. Give prob of picking 2 w. 3/95 Four letters picked without replacement from {f: 13, o: 3, d: 4}. What is prob of picking 2 o and 2 d? 6/1615 Two letters picked without replacement from {h: 1, j: 2, n: 1}. Give prob of picking 1 h and 1 n. 1/6 Two letters picked without replacement from kkkkkkkkkkekkkkkkk. Give prob of picking 1 k and 1 e. 1/9 Two letters picked without replacement from {g: 3, w: 5, q: 1, l: 1}. What is prob of picking 1 w and 1 l? 1/9 What is prob of picking 2 w and 1 c when three letters picked without replacement from {z: 8, b: 1, w: 2, a: 1, c: 2}? 1/182 Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kkkkfkfkkkf. 8/55 Two letters picked without replacement from rcechhrrchh. Give prob of picking 1 e and 1 c. 3/55 What is prob of picking 2 w when two letters picked without replacement from {w: 3, n: 8, h: 5}? 1/40 Two letters picked without replacement from {t: 9}. Wha
{ "pile_set_name": "DM Mathematics" }
hat is 103 minutes before 2:27 PM? 12:44 PM What is 543 minutes after 5:19 AM? 2:22 PM What is 376 minutes before 2:41 AM? 8:25 PM What is 588 minutes after 8:32 PM? 6:20 AM What is 60 minutes before 4:23 AM? 3:23 AM How many minutes are there between 9:45 PM and 9:56 PM? 11 How many minutes are there between 3:47 PM and 5:55 PM? 128 What is 406 minutes before 10:39 AM? 3:53 AM How many minutes are there between 1:20 AM and 7:58 AM? 398 How many minutes are there between 5:08 AM and 2:03 PM? 535 What is 117 minutes after 4:41 AM? 6:38 AM What is 481 minutes after 11:04 AM? 7:05 PM How many minutes are there between 12:11 PM and 3:40 PM? 209 What is 165 minutes after 1:07 PM? 3:52 PM How many minutes are there between 6:42 AM and 9:27 AM? 165 What is 705 minutes after 11:43 PM? 11:28 AM How many minutes are there between 12:29 PM and 1:45 PM? 76 What is 398 minutes after 4:37 PM? 11:15 PM How many minutes are there between 5:28 PM and 5:01 AM? 693 How many minutes are there between 3:44 PM and 3:14 AM? 690 What is 493 minutes after 10:44 AM? 6:57 PM How many minutes are there between 4:42 PM and 7:57 PM? 195 How many minutes are there between 11:09 AM and 7:03 PM? 474 How many minutes are there between 8:30 AM and 12:55 PM? 265 How many minutes are there between 11:09 AM and 1:26 PM? 137 What is 128 minutes after 8:57 PM? 11:05 PM How many minutes are there between 2:40 PM and 10:04 PM? 444 How many minutes are there between 4:16 AM and 3:00 PM? 644 How many minutes are there between 7:29 PM and 11:49 PM? 260 What is 607 minutes before 12:39 PM? 2:32 AM What is 585 minutes before 5:54 PM? 8:09 AM How many minutes are there between 12:56 AM and 2:26 AM? 90 What is 597 minutes before 1:28 AM? 3:31 PM How many minutes are there between 2:56 PM and 8:50 PM? 354 How many minutes are there between 11:46 AM and 8:52 PM? 546 How many minutes are there between 8:52 PM and 5:55 AM? 543 How many minutes are there between 10:43 AM and 12:59 PM? 136 What is 689 minutes before 5:35 PM? 6:06 AM How many minutes are there between 5:07 AM and 6:45 AM? 98 What is 371 minutes before 2:51 PM? 8:40 AM What is 596 minutes after 3:01 PM? 12:57 AM How many minutes are there between 11:42 AM and 4:08 PM? 266 How many minutes are there between 6:39 AM and 8:54 AM? 135 What is 611 minutes after 8:24 AM? 6:35 PM What is 40 minutes after 1:28 AM? 2:08 AM How many minutes are there between 5:49 AM and 5:29 PM? 700 How many minutes are there between 7:52 AM and 10:56 AM? 184 What is 573 minutes before 4:33 PM? 7:00 AM What is 252 minutes after 4:43 PM? 8:55 PM How many minutes are there between 4:29 AM and 10:23 AM? 354 How many minutes are there between 10:09 AM and 7:37 PM? 568 What is 502 minutes after 9:17 AM? 5:39 PM How many minutes are there between 5:12 AM and 2:15 PM? 543 How many minutes are there between 7:13 PM and 9:04 PM? 111 How many minutes are there between 6:43 PM and 1:44 AM? 421 What is 496 minutes before 9:54 PM? 1:38 PM What is 344 minutes after 8:47 AM? 2:31 PM What is 159 minutes before 2:01 AM? 11:22 PM What is 126 minutes after 4:15 PM? 6:21 PM How many minutes are there between 12:16 PM and 5:07 PM? 291 How many minutes are there between 12:19 AM and 12:33 AM? 14 What is 631 minutes before 5:32 PM? 7:01 AM How many minutes are there between 12:43 PM and 12:13 AM? 690 How many minutes are there between 2:04 PM and 7:00 PM? 296 What is 630 minutes after 8:03 PM? 6:33 AM What is 153 minutes after 4:07 PM? 6:40 PM What is 360 minutes before 7:21 PM? 1:21 PM What is 231 minutes before 10:05 PM? 6:14 PM How many minutes are there between 1:51 PM and 10:31 PM? 520 How many minutes are there between 2:55 PM and 5:33 PM? 158 What is 628 minutes before 12:05 AM? 1:37 PM How many minutes are there between 3:54 PM and 6:29 PM? 155 How many minutes are there between 5:43 AM and 1:36 PM? 473 What is 665 minutes before 2:58 PM? 3:53 AM What is 252 minutes after 7:59 PM? 12:11 AM How many minutes are there between 5:32 AM and 3:02 PM? 570 How many minutes are there between 4:02 PM and 9:19 PM? 317 How many minutes are there between 4:04 PM and 9:25 PM? 321 What is 67 minutes after 9:01 AM? 10:08 AM How many minutes are there between 2:58 PM and 12:55 AM? 597 What is 250 minutes before 8:20 PM? 4:10 PM How many minutes are there between 3:20 PM and 5:10 PM? 110 How many minutes are there between 12:15 AM and 3:44 AM? 209 What is 135 minutes after 10:29 PM? 12:44 AM How many minutes are there between 12:05 AM and 8:13 AM? 488 What is 703 minutes after 12:31 AM? 12:14 PM What is 443 minutes before 8:55 PM? 1:32 PM How many minutes are there between 10:43 PM and 11:35 PM? 52 What is 699 minutes after 5:01 AM? 4:40 PM How many minutes are there between 9:22 PM and 11:19 PM? 117 What is 371 minutes before 3:18 AM? 9:07 PM How many minutes are there between 9:50 PM and 1:17 AM? 207 What is 303 minutes before 12:13 PM? 7:10 AM What is 313 minutes after 2:42 PM? 7:55 PM What is 706 minutes before 8:33 PM? 8:47 AM How many minutes are there between 8:20 AM and 6:31 PM? 611 What is 643 minutes before 3:20 PM? 4:37 AM How many minutes are there between 7:07 PM and 6:19 AM? 672 How many minutes are there between 11:48 PM and 1:35 AM? 107 How many minutes are there between 5:29 PM and 7:30 PM? 121 What is 470 minutes before 3:42 AM? 7:52 PM What is 158 minutes before 2:14 AM? 11:36 PM How many minutes are there between 9:56 PM and 6:51 AM? 535 What is 589 minutes before 3:21 PM? 5:32 AM How many minutes are there between 3:31 PM and 1:41 AM? 610 What is 485 minutes before 9:30 PM? 1:25 PM What is 313 minutes after 4:45 AM? 9:58 AM What is 688 minutes before 8:14 PM? 8:46 AM How many minutes are there between 9:55 AM and 4:40 PM? 405 What is 539 minutes before 5:08 PM? 8:09 AM How many minutes are there between 4:33 AM and 11:14 AM? 401 What is 699 minutes before 4:03 AM? 4:24 PM What is 264 minutes after 9:19 PM? 1:43 AM How many minutes are there between 7:26 PM and 11:41 PM? 255 What is 556 minutes after 9:36 PM? 6:52 AM How many minutes are there between 1:44 AM and 9:44 AM? 480 How many minutes are there between 9:44 AM and 9:15 PM? 691 How many minutes are there between 4:44 AM and 12:37 PM? 473 What is 665 minutes after 5:13 AM? 4:18 PM How many minutes are there between 8:18 PM and 1:31 AM? 313 What is 419 minutes before 10:10 PM? 3:11 PM What is 2 minutes before 11:47 AM? 11:45 AM What is 144 minutes before 10:50 AM? 8:26 AM What is 400 minutes after 10:48 AM? 5:28 PM How many minutes are there between 4:07 AM and 11:57 AM? 470 How many minutes are there between 6:09 AM and 2:03 PM? 474 How many minutes are there between 2:49 PM and 12:07 AM? 558 How many minutes are there between 9:06 AM and 9:18 AM? 12 How many minutes are there between 12:03 PM and 10:42 PM? 639 How many minutes are there between 3:48 PM and 11:42 PM? 474 How many minutes are there between 12:58 AM and 7:24 AM? 386 How many minutes are there between 5:06 AM and 3:02 PM? 596 How many minutes are there between 9:35 PM and 11:52 PM? 137 How many minutes are there between 2:23 AM and 3:22 AM? 59 What is 664 minutes before 12:20 PM? 1:16 AM What is 144 minutes after 12:57 PM? 3:21 PM What is 181 minutes before 9:49 PM? 6:48 PM How many minutes are there between 11:19 AM and 11:57 AM? 38 What is 466 minutes after 9:39 PM? 5:25 AM How many minutes are there between 5:31 AM and 9:55 AM? 264 What is 251 minutes after 9:47 AM? 1:58 PM How many minutes are there between 7:26 PM and 10:22 PM? 176 What is 254 minutes before 1:28 PM? 9:14 AM How many minutes are there between 2:29 PM and 2:24 AM? 715 What is 707 minutes before 2:55 AM? 3:08 PM How many minutes are there between 11:01 AM and 12:31 PM? 90 What is 418 minutes before 2:36 PM? 7:38 AM How many minutes are there between 8:54 AM and 8:11 PM? 677 How many minutes are there between 4:28 AM and 5:50 AM? 82 How many minutes are there between 3:15 AM and 3:04 PM? 709 How many minutes are there between 7:42 PM and 7:14 AM? 692 How many minutes are there between 9:52 PM and 4:33 AM? 401 What is 249 minutes after 3:44 AM? 7:53 AM How many minutes are there between 4:19 AM and 5:11 AM? 52 What is 636 minutes before 1:05 AM? 2:29 PM What is 488 minutes after
{ "pile_set_name": "DM Mathematics" }
0*s + 191 = -4*s, 89 = -d + 5*s. Let n = v + d. What is the units digit of n? 1 Suppose 15*r = 158 + 622. Let d be (68/(-8))/(2/(-12)). Let k = r - d. What is the units digit of k? 1 Let m = -10015 - -16902. What is the tens digit of m? 8 Suppose -278*f = -274*f - 63551 + 20363. What is the tens digit of f? 9 Let o(q) = -q**2 - 9*q + 14. Let c be o(-10). Let b be (c + (-267)/(-9))*(1 + 2). Let u = b - 33. What is the units digit of u? 8 Suppose -5*b + 4*a + 79212 = 0, 3*b - 19708 = -2*a + 27850. What is the ten thousands digit of b? 1 Suppose 46*n - 125654 + 6634 = 38300. What is the tens digit of n? 2 Suppose -n = 2*t + 2 + 4, -3*t + 4 = -5*n. What is the tens digit of ((-9)/t)/(-9)*-1908? 5 Let l(v) = 36*v**2 + 10*v + 66. Let b be l(-5). Let a = 1646 - b. What is the tens digit of a? 3 Let w(t) = 11*t**2 - 39*t - 7. Let l(y) = -7*y**2 + 26*y + 5. Let r(o) = 8*l(o) + 5*w(o). Let h be r(14). What is the units digit of (-4 + 4/6)*h? 0 Suppose 3*s + 4*j - 9 = j, -12 = -4*s - 5*j. Suppose -4*a - s + 135 = 0. Let w = a + 58. What is the units digit of w? 1 Let c = 4812 - 3612. What is the thousands digit of c? 1 Suppose -2*r + 0 = 4*x - 36, 4*r + 4*x = 56. Let z be 9 + (-11 + 2 - 9) + 165. Let b = r + z. What is the hundreds digit of b? 1 Suppose 5*f = 15, 5*f - 2569 = -z + 882. What is the hundreds digit of z? 4 Let d(q) = 490*q - 1456. What is the thousands digit of d(25)? 0 Let l(t) = -t**2 + 9*t - 15. Let w be l(3). Let n = w - -64. What is the tens digit of n? 6 Let j(a) = a**2 + 10*a + 28. Let h be j(-14). Let b(p) = h*p + 1 - 64*p + 11. What is the units digit of b(4)? 2 Suppose -20 - 34 = 6*z. Let i(g) = g**2 + 3*g + 31. What is the units digit of i(z)? 5 Suppose -29*v - 502 = -27*v. Let g = v + 1722. What is the thousands digit of g? 1 Let s = -5091 + 12115. What is the thousands digit of s? 7 What is the tens digit of 8725/(-1)*(80 + -81)? 2 Suppose x = 4*x + 4*j - 991, -2*j = -5*x + 1669. Let z be -4 - (-60 - (5 - (5 - -4))). Suppose 5*d - z = x. What is the units digit of d? 7 Suppose -5*g - 2*g + 3*g = 0. Let r be g/(-1) - (-1)/(1/2). Suppose -2*c = -a + 41, -2*c + 61 = r*a + c. What is the tens digit of a? 3 Let c(x) = 17379*x - 4848. What is the thousands digit of c(2)? 9 Let t be -1*3/((-18)/(-1866)). Let o = 743 + t. What is the units digit of o? 2 Suppose -x = 2*w - 269, 914 = 3*x - 3*w + 125. Suppose -5*s + l + 0*l + 730 = 0, 2*s - x = -5*l. What is the hundreds digit of s? 1 Suppose -5*m = s - 8 + 21, -m - 13 = -5*s. Let a(q) = -56*q - 13. What is the units digit of a(m)? 5 Let a = 6419 + 7399. What is the ten thousands digit of a? 1 Suppose -19*k + 20 = -14*k. What is the hundreds digit of ((-4995)/(-30))/(2/k)? 3 Suppose 15*q = 5*q + 2080. Let k = q - -420. What is the tens digit of k? 2 Suppose 2*i - 5 = i. Suppose -2*j + 2*l = 6*l - 4, -i*j = 4*l - 16. Suppose 2*c = -j*y + 118, -7*y + 175 = 3*c - 2*y. What is the tens digit of c? 5 Suppose g - 132 = a - 428, 4*g = a - 1199. What is the hundreds digit of 1097/5 - (8 + g/35)? 2 Let y = -523 - -532. Suppose -5388 = 5*c - y*c. What is the hundreds digit of c? 3 Suppose -r + 24299 = t, 5*t - 1512*r - 121522 = -1508*r. What is the hundreds digit of t? 3 What is the thousands digit of 3632135/221 - (-6)/1? 6 Let t = -6021 + 10571. What is the thousands digit of t? 4 Suppose -w = 2*h + 1 - 11, 26 = 2*w + 2*h. Let m be ((-8*2)/2)/(4/w). Let g = m - -158. What is the units digit of g? 6 Let u = 42 + -42. Suppose -12*m + 41 + 7 = u. What is the hundreds digit of 3/(-12) + 637/m? 1 Suppose -21 = -10*l + 69. What is the hundreds digit of 4 - l - 14910/(-10)? 4 What is the tens digit of 1*(-228)/19 - -58343? 3 Let r(a) = -a**3 + 44*a**2 + 117*a + 134. What is the tens digit of r(42)? 7 Let v be ((-1)/2)/(28/(-336)). Suppose v*l = 15*l - 909. What is the units digit of l? 1 Suppose 9*t - 43428 = -5*t. What is the thousands digit of t? 3 Let s = -23 - -26. Suppose 0*g = 2*f - 3*g, -3*f = -s*g. Suppose 0 = 3*x - 2*w - f*w - 161, w = x - 52. What is the units digit of x? 7 Suppose 32080 = 4*h - 5*n - 27072, -20 = 5*n. What is the tens digit of h? 8 What is the hundreds digit of (9/(-6))/(-1)*(-2469950)/(-525)? 0 Let h = 695 + 1222. What is the units digit of h? 7 Let z(d) = -d**3 + 15*d**2 + 21*d - 4. Let h(k) = 3*k**2 + 2*k - 5. Suppose -3*p - 6 = s - 15, p = 4. Let g be h(s). What is the units digit of z(g)? 6 Let s be (-6 - -4) + 11 + -4. Suppose 0 = -4*f + s*f - 1, -3*a + 5*f = 5. Suppose a*j = 5*h - 4*j - 385, 3*j = 2*h - 161. What is the units digit of h? 3 Suppose 46 = d + 42. Suppose -3*y - d*v = -142, 4*y = -0*v - 4*v + 184. What is the hundreds digit of (244/6)/(7/y)? 2 Let a(r) = -15*r**2 - 7*r**3 + 7 + 21962*r - 21968*r + 21. What is the tens digit of a(-7)? 3 Suppose -39*o + 16 = -38*o. Suppose 2*s - 14 = -2*r, 5*s = 2*s - 2*r + o. What is the hundreds digit of ((-100)/15)/(s/(-54))? 1 What is the ten thousands digit of (-20 + 9)*38779/(-19)? 2 Let z = 3058 + 20428. What is the units digit of z? 6 Suppose 0 = 16*n - 39 - 25. Suppose 3*u = 710 + n. What is the hundreds digit of u? 2 Let x = 28 + 74. Let t be 1 - 3/12 - x/8. What is the tens digit of (-1 + -22)*-2*t/(-8)? 6 Suppose -3*g = -7*g. Let q(k) = -k**3 + k**2 + 82. Let b be q(g). Let m = 190 - b. What is the units digit of m? 8 Suppose -35*t + 88 = -13*t. Suppose 5*o = -3*j + 63, 0*j - 45 = -t*o + 3*j. What is the tens digit of o? 1 Let f(i) = -i**3 - 14*i**2 + 12*i + 36. Let t be f(-15). Suppose 0 = -78*k + t*k - 147. What is the tens digit of k? 4 Let d = -42 + 42. What is the hundreds digit of -5 - 3*(d + 1165/(-15))? 2 Let q be (6/(-5))/(-1)*70/21. Suppose -2*l - 2*x + 1616 = 0, -q*l + 3412 = -5*x + 144. What is the hundreds digit of l? 8 Let q(o) = 5*o**2 + o - 13. Let y be q(-6). Suppose -61 = 160*m - y*m. What is the tens digit of m? 6 Suppose -p = 4*p + 4*g - 2, -5*g = -3*p + 16. Suppose p*x - 18 = -q, 2*x + q - 26 = 4*q. What is the tens digit of x? 1 Let o(r) be the first derivative of r**4 - 2*r**3/3 + 5*r**2/2 - 2*r + 23. Let m be o(1). Suppose -m*l + 124 = -21. What is the tens digit of l? 2 What is the ten thousands digit of (13 - 4) + (-723235)/((-380)/20)? 3 Let f be 3 + (-4 - 44)/(-4). Suppose 0 = -3*d + h - 0 + 26, -2*d + f = -3*h. What is the hundreds digit of 7/(189/6) + 925/d? 1 Let r = 103145 + -62176. What is the hundreds digit of r? 9 Suppose 337 = -3*h + 5*o, -h - 4*o - 188 = h. Suppose -48 = 6*t + 42*t. What is the tens digit of (h/((-28)/(-7)))/(t + 0)? 2 What is the thousands digit of -4 + 4 + -7 + 6831 + 8? 6 Let y(x) = -x**3 + 4*x**2 - x + 8. Let o be y(4). Suppose o*c + 173 = 49. Let i = c + 41. What is the tens digit of i? 1 What is the hundreds digit of ((896/(-3))/4)/(-9 + (-8632)/(-960))? 9 Let x(u) = 73*u**2 + 20*u - 3. Suppose 118*b - 24 = 124*b. What is the thousands digit of x(b)? 1 Let g(p) = 8*p**2 - 4*p - 5. Suppose -2*i + 5 = 2*b - 3, 4*i - 21 = b. What is the tens digit of g(i)? 7 What is the tens digit of 2/12 + (-680025)/(-90) + 2? 5 Let d(q) = 25 + 14*q - q - 28. Let b be d(1). Suppose 10*z + b = 15*z. What is the units digit of z? 2 Suppose 5*q = w + 682, -2*q + 2*w = 2*q - 548. Let c = 779 - q. Let l = c + -420. What is the units digit of l? 3 What is the thousands digit of 76/(-19) + -12 + 21914? 1 Suppose g - 4170 = -4*u, -g - 5207 = -5*u - 5*g. Let o = -694 + u. Suppose -9*w = -o - 623. What is the hundreds digit of w? 1 Let n = -48 - -62. Let c be n - (4*(-9)/(-12))/1. Suppose c*r - 1364 = -11. What is the tens digit of r? 2 Let u be (2 + (-5)/3)*15. What is the units digit of (u + -36)/((-2)/22)? 1 Let u = -61833 - -88631. What is the units digit of u? 8 What is the thousands digit of (-32)/56 + (-4631922)/(-63)? 3 Suppose 491004 = -258*k + 3105834. What is the ten thousands digit of k? 1 Let g be -2*2/12 - 276/(-18). Suppose 567 = g*r - 12*r. What is the tens digit of r? 8 What is the hundreds digit of (-10199)/(-658)*1524/2? 8 Let f(b) = 76*b**3 - 5*b**2 - 1. Let d(g) = 227*g**3 - 14*g**2 - 3. Let h(s) = -6*d(s) + 17*f(s). Let o be -2*(0 + 4/8). What is the tens digit of h(o)? 7 Suppose -5*g - 2*p + 1954 = 0, 0*g - 5*p = 4*g - 1570. Suppose 0 = 2*f - 7*f + g. Let d = 4 + f. What is the units digit of d? 2 Let q = -1425 + 2238. What is the hundreds digit of q? 8
{ "pile_set_name": "DM Mathematics" }
2*z**2)*(43*z**3 - 14*z**3 - 11*z**3) - 3*z**2 + 4*z**5 + 3*z**2 + 2*z**5 + 2*z**5 - 2*z**5. -30*z**5 Expand 4*s - 4*s + 6*s**3 + (-1 + 1 - 1)*(2*s**3 - 39*s**2 + 39*s**2). 4*s**3 Expand (-a**2 + 5*a**2 - 5*a**2)*(-11*a - 5*a**2 + a + 9*a). 5*a**4 + a**3 Expand (-60 - 98 + 181)*(-5 + 2 + 1)*(-x**3 + x**5 + x**3). -46*x**5 Expand (5*o**2 - o**2 - 3*o**2)*(2*o - 31*o + 7*o)*(3*o - o + 0*o + (2*o - 4*o + o)*(-3 + 3 - 1) - o - 3*o + 2*o). -22*o**4 Expand (w + 1 - 1)*(35*w + 45*w + 19*w + (-4*w + 3 - 2 + w)*(-2 - 1 + 2)). 102*w**2 - w Expand (3*q**3 - 3*q**3 + q**3 - 8*q)*(-35 - 3*q + 35). -3*q**4 + 24*q**2 Expand 0*m**3 + 5*m**3 + 4*m**3 + (-2*m**2 - m**2 + m**2)*(-m + 0 + 0) - 2*m**3 + 2*m**3 + m**3. 12*m**3 Expand (154*w**3 + 20*w**2 - 285*w**3 + 143*w**3)*(1 + w**2 - 1). 12*w**5 + 20*w**4 Expand (2*p - 2*p - p)*(1 - 2 + 0)*(-2*p - 4 + 4 + (0*p + p - 3*p)*(-3 + 1 + 5) + p + 2 - 2). -7*p**2 Expand -200371*c**4 + 129*c**5 + 4*c + 200371*c**4 + 0*c**5 + 0*c**5 + 2*c**5 + (0*c + 0*c + c**3)*(2*c + 2*c**2 - 2*c) - c**5 + 4*c**5 - c**5. 135*c**5 + 4*c Expand (16 - 1 - 7)*(54 + 17*z - 54)*(-3 + 3 - 2)*(3 - 2 + 2). -816*z Expand 2*j**2 + 6 - 6 + (0*j**2 + 10*j**2 + 0*j**2)*(-4 + 2 + 4). 22*j**2 Expand (2*w + 0*w + w - 1)*(-3*w**4 + 3*w**4 + 2*w**4) - 1 + 2*w**5 + 1 + (-2*w + w - w)*(0*w**2 + 0*w**2 + 2*w**4). 4*w**5 - 2*w**4 Expand -254*p + 254*p - 10*p**2 + (7*p - 2*p + 0*p)*(2*p + p - 5*p). -20*p**2 Expand (-3*l + 3*l - 2*l)*(-2*l + 5 - 5)*(-500*l**3 - 22742*l**2 + 22742*l**2). -2000*l**5 Expand (-o + 0*o - 2*o)*(-198 + 455*o - 202 + 400). -1365*o**2 Expand (53 + 128 - 10)*(-f**2 - f**2 - f**2)*(-f**2 + 3*f**2 - f**2). -513*f**4 Expand ((2*z - z + z)*(z - z - 2*z) + 2*z**2 - 2*z**2 + 2*z**2)*(-6*z**3 + 2*z**3 + z**3) + 3*z**5 - 2*z**5 + 0*z**5. 7*z**5 Expand 438*k**2 + 12*k**3 - 438*k**2 + (-1 - k + 1)*(-2*k**2 + 5*k**2 - 2*k**2) + 3*k**2 - 10*k**2 + 5*k**2 + k**2 + 21*k**3. 32*k**3 - k**2 Expand (22 - 2 + 4)*(2*d - 7*d + 3*d)*(15*d + 51 - 51). -720*d**2 Expand (0*s**3 - 3*s**3 + 2*s**3)*(4874 - 1500 + 3192 + 1750 - 1325). -6991*s**3 Expand (44*t**3 - 10*t**3 - 17*t**3)*(-3*t + 2*t + 1 + 4*t). 51*t**4 + 17*t**3 Expand (-4 - 170*k + 171*k + 7)*(2 + 3 - 2). 3*k + 9 Expand (1 + 1 + 1)*(22*o - 34*o - 12*o) + (-2 - 4 + 1)*(-4*o + 3*o + 3*o). -82*o Expand (4*w + w**2 - 4*w + (-2 + 4 - 1)*(-2*w**2 + 4 - 4) + 4*w**2 - 6*w**2 + w**2)*(10*w**3 + 0*w**3 - 25 - 5). -20*w**5 + 60*w**2 Expand 5*p**3 - 3*p**3 - 3*p**3 + (0 + 0 + 5*p**2)*(48*p - 21*p + 44*p). 354*p**3 Expand -2*j + 0*j + 5*j + (-1 + 0 + 0)*(-7*j + 22*j + 3*j) - 4*j - j + 2*j + (6 - 4 - 3)*(j + j - j). -19*j Expand 3*u**2 + 18*u**5 + 28*u**5 - 43*u**5 + (u**4 + u**3 - u**3)*(-6 - 2*u + 6). u**5 + 3*u**2 Expand (-31*l + 31*l + 8*l**3)*(3 - 15*l**2 - 3). -120*l**5 Expand (-2*h - 4*h + 4*h + (-2 - 1 + 1)*(h - 5*h + 2*h) + h + 1 - 1 + h + h + 0*h)*(h + 2*h - 5*h + (4 - 2 - 1)*(3*h - 6*h + h)). -20*h**2 Expand (152*z**2 - 4*z**4 - 2*z**4 - 142*z**2)*(3 - 2 - 6). 30*z**4 - 50*z**2 Expand (4*z - 3*z - 2*z)*(-1 - 1 + 6) - 9*z - 159 - 155 + 8*z. -5*z - 314 Expand (4 + 2 - 4)*(-52*w**2 + 58*w**2 - 3 + 1). 12*w**2 - 4 Expand (3 + 3 - 4)*(-14*k - 19 + 19) - 6*k + 3*k + 5*k + (-k + 5 - 5)*(1 + 3 - 2) + (k + 0 + 0)*(0 + 0 + 1). -27*k Expand (132*x + 399*x + 73*x - 44*x)*(1 - 3 + 3). 560*x Expand (-883*d + 883*d - 28*d**5)*(-3 + 3 - 1). 28*d**5 Expand (-5*m + 0*m + 4*m + (-3*m + 0*m + 2*m)*(0 - 2 + 7) - 2 + 2 + m)*(3*m**3 + 10*m**2 - 10*m**2). -15*m**4 Expand (-42 - 25*v + 42)*(6*v - 11*v - 1 + 7*v). -50*v**2 + 25*v Expand 6775*y**2 - 6775*y**2 + 147*y**5 + (-y + y**3 + y)*(-y**2 - y + y). 146*y**5 Expand ((-3 + 2 + 4)*(0 + 0 - 2*j) + (2 + 1 - 2)*(-j + 4*j - j))*(2 + 0 + 4). -24*j Expand (2*m - 18*m - 16*m)*(1 - 4 + 2)*(-m + 2*m - 3*m). -64*m**2 Expand (-7*a - 4 - 9 + 15)*(312 + 104 + 41). -3199*a + 914 Expand (2 - 2 + 3*z**2)*(-2 - 5 + 0)*(-5 - 4 + 2). 147*z**2 Expand (6*j - 2*j - j)*(3*j - 7*j - 5*j)*(-6 + 1 + 4)*(-2 - 1 + 5 - 2 - 3 + 0 - 2 - 1 + 4 + (-1 + 2 - 3)*(-3 + 0 + 1)). 54*j**2 Expand (-6*w**2 - 8*w**2 + 7*w**2)*(-2 + 0 + 0)*(-21*w**2 - 78*w**2 - 6*w**2). -1470*w**4 Expand ((-3 - x + 3)*(x + 5 - 5) - 20*x**2 + 19 - 19)*(4*x**3 - x**3 - x**3). -42*x**5 Expand (1 - 4 + 4)*(34*r - 15*r + r**2 + r**2). 2*r**2 + 19*r Expand 2*u**5 + u**5 - u**5 + (-3*u**5 + 2*u**5 - u**5)*(2 - 6 + 3) + u**5 - u**5 + u**5 - 4*u**5 + u**5 + 0*u**5. 2*u**5 Expand (-2*p + 0 + 0 + 0*p + p + p + (0 + 0 - 2)*(1 - 2*p - 1) + 0*p + 2*p + 0*p)*((-5 + 1 + 2)*(-p - 4*p + 2*p) - p - 3 + 3) + 3 - 3 - p**2. 29*p**2 Expand (18*f + f - f)*(-1 + 1 - 5). -90*f Expand (0*b - 52820*b**3 + 52817*b**3 - b + 38)*(-1 - 2*b + 1). 6*b**4 + 2*b**2 - 76*b Expand (-3 + 5 - 7 + (2 + 0 - 3)*(-6 - 5 + 4))*(0*y**3 + 4*y**3 - 3*y**3)*(-1 - 6 + 5)*(1 + 0 - 3)*(y**2 + 3*y - 3*y). 8*y**5 Expand (13 + 1 - 4)*(4*j**2 - 4*j**2 + 1 - j**2) + 22*j**2 + 10*j**2 - 3*j**2. 19*j**2 + 10 Expand 0*v**5 - 4*v**5 + 3*v**5 - 3*v**5 + v**5 + 3*v**5 - 3*v**5 - v**5 + 2*v**5 + (-3 - v**4 + 3)*(4*v + v - 3*v) + 5*v**5 + 0*v**5 - 4*v**5. -3*v**5 Expand 4*n**2 - 4*n**2 - 6*n**4 + ((0 + 1 + 0)*(0*n + 0*n + 2*n**2) + 0*n + 0*n + n**2)*(-2 - 2*n**2 + 2). -12*n**4 Expand (3*j + j - 2*j)*(5*j**3 - 47*j + 47*j) + 4*j**4 + 4*j**4 - 7*j**4. 11*j**4 Expand (1 - 1 + q)*(72*q + 82*q + 86*q + 14*q). 254*q**2 Expand (-2*v**3 + 2*v**3 - 2*v**3)*(53 - 18*v - 53 + (5*v + v - v)*(1 + 0 + 0)). 26*v**4 Expand (2579 - 4727 - 1296 - 776)*(-q + 3*q - 3*q). 4220*q Expand -19 + 6*s + 19 - s + 2*s + 3*s + (0*s + 3*s - s)*(-2 + 2 - 2) + 1 - 1 + s + 2*s + 0 + 0. 9*s Expand (2*x - 2*x + x)*(-4*x + 3*x - x) + (-2 - 1 + 4)*(2*x**2 - 3*x**2 + 2*x**2). -x**2 Expand (-q**2 + q**2 + 3*q**2)*(-1 - 8 + 1 - 1 - 1 + 0 - 2 + 6 - 2 + (4 - 5 - 1)*(0 + 2 - 3) + 0 - 3 + 5 - 2 + 3 + 0 + 1 - 9 + 2). -27*q**2 Expand -b + b - b**4 + (-5*b**2 + 4*b**2 - 2*b**2)*(-6 + 6 + 4*b**2). -13*b**4 Expand (-3 + 1 + 7 + (-1 + 2 - 2)*(0 + 0 + 2) + 0 - 5 + 2 - 1 - 1 + 4)*(16*j**3 + 32*j**2 - 32*j**2). 32*j**3 Expand (-1 + 2 - 2)*(-326 + 2*d**2 + 326)*(d**2 + 3 - 3). -2*d**4 Expand (-2*d**2 + 3 - 3)*(958*d**2 - 1917*d**2 + 861*d**2). 196*d**4 Expand (2*o + o + 0*o)*(-2*o**2 - o**2 + 4*o**2) + (-3 + 3 - o)*(2*o**2 + o**2 + 0*o**2) - 3*o**3 + 3*o**3 + 2*o**3 - 5*o**3 - 10*o**3 + o**3. -12*o**3 Expand (r - r + r)*(-41*r**2 - 512*r**2 + 64*r**2). -489*r**3 Expand (-3*q**3 + 4*q**3 + q**3)*(-4 - 1 + 6)*(-433 + 208 + 218). -14*q**3 Expand (0*g - g**2 + 0*g)*(g - 2 + 2) - 496*g**2 + 496*g**2 + 5*g**3 + (0 + 4 - 2)*(2*g**3 + g - g) + g**3 - g**3 + 3*g**3. 11*g**3 Expand -2 + 1 + 10*n**3 + 3 + (-2*n**2 + 5*n**2 - 4*n**2)*(-n + n - 2*n). 12*n**3 + 2 Expand (2*w - 6*w + 2*w)*(-2*w + 2*w - 2*w) + 0*w**2 - 5*w**2 + 3*w**2 - 7*w - 4*w**2 + 22*w + 6*w**2 + 14*w**2 - w - 2*w + 2*w. 18*w**2 + 14*w Expand 159*w**5 - 718*w**2 + 718*w**2 + (5*w**3 - 3*w**3 - w**3)*(-w**2 - 2*w**2 + 4*w**2) + 2*w**5 - 2*w + 2*w. 162*w**5 Expand (-2*u + 3*u - 3*u)*(-1 - u**2 + 1)*(22*u + 20*u - 17*u) + 2*u**4 + 0*u**4 + 0*u**4 + (-2 + 1 + 3)*(0*u**4 + u**4 + 0*u**4) - 2*u**4 + 2*u**4 + 2*u**4. 56*u**4 Expand (3 + 3 - 3)*(3 + 0 - 1)*(4*j - 5*j + 0*j) + 12*j + 12 - 12. 6*j Expand -1 - 2*l**2 + 1 + 2*l**2 + 4*l - 4*l + l**2 + l**2 - l**2 + (-1 + 3 + 0)*(-4 + 4 - 2*l**2) + (6*l + 5*l - 8*l)*(2*l - 2*l + l) - l + 3*l**2 + l. 3*l**2 Expand (-y**3 - 3*y**3 + 3*y**3)*(-836 + 836 + 2*y + (-4*y + 2*y + y)*(1 + 1 - 1)). -y**4 Expand -2*y + 49*y**2 - 5*y + 4*y + 2*y**2 + y**2 - y**2 - y**2 - 3*y**2 + 3*y**2 + (2*y - y + y)*(0*y - 2*y + 3*y). 52*y**2 - 3*y Expand (-20*x + 10*x - 15*x - 2 + (-2 - 3 + 4)*(2*x - 4*x + 4*x) - 2*x - 2*x + 2*x + x - 2*x + 0*x)*(2 - 7 + 3 + 3*x). -90*x**2 + 54*x + 4 Expand (-43 - 49 + 61)*(-6*a + 2*a - 2 + 0*a)*(a**4 - 3 + 3). 124*a**5 + 62*a**4 Expand (n + 0 + 0)*(4 - 2 + 0)*(1 - 2 - 2)*(-n**3 + 3*n**3 + 3*n**3). -30*n**4 Expand -2*i + 2*i - 3*i**5 + (3*i**2 + 4*i**2 - 5*i**2)*(-i**2 - 2 + 2)*(-3 + 2 - 3)*(-2 + 2 - 2*i). -19*i**5 Expand (-2*k + 0*k + k)*(-1 + 5 - 1) - 16 - 19 + 37 - 18*k. -21*k + 2 Expand (-44 + 24 + 39*b**2 + 17)*(5 - 5 - 2 - 2 - 4 + 4 + 6 - 3 - 2 + (-3 + 3 + 1)*(0 + 3 - 2) + 5 - 4 - 2 - 2 - 4 + 4 + 5 - 5 + 1 + 5 + 1 - 5 + 3 + 3 - 4). -39*b**2 + 3 Expand (-4 - 7 + 2 + 9 + 275*k)*(10*k**2 + 4*k**2 - 5*k**2). 2475*k**3 Expand (-10*q**2 - 50*q**2 +
{ "pile_set_name": "DM Mathematics" }
is the remainder when 3878117 is divided by 7142? 11 Calculate the remainder when 202326269 is divided by 16. 13 What is the remainder when 3340282 is divided by 1334? 1280 Calculate the remainder when 39955382 is divided by 95. 92 What is the remainder when 22889877 is divided by 11444908? 61 Calculate the remainder when 252322198 is divided by 4587676. 18 Calculate the remainder when 479650 is divided by 94837. 5465 Calculate the remainder when 48984244 is divided by 1139168. 20 What is the remainder when 156272411 is divided by 85? 81 What is the remainder when 149183189 is divided by 261? 26 Calculate the remainder when 88631 is divided by 2774. 2637 Calculate the remainder when 51650 is divided by 1107. 728 Calculate the remainder when 518954 is divided by 129280. 1834 What is the remainder when 8200539 is divided by 2733507? 18 Calculate the remainder when 3641082 is divided by 113. 109 What is the remainder when 189143 is divided by 4891? 3285 Calculate the remainder when 645495 is divided by 80. 55 What is the remainder when 853714 is divided by 620? 594 Calculate the remainder when 798360 is divided by 57019. 94 What is the remainder when 2822741 is divided by 2044? 2021 Calculate the remainder when 34439201 is divided by 5859. 5858 Calculate the remainder when 2326336 is divided by 145393. 48 What is the remainder when 79021694 is divided by 16? 14 What is the remainder when 17906018 is divided by 8953003? 12 Calculate the remainder when 3314278 is divided by 274. 248 Calculate the remainder when 1484078 is divided by 223. 13 What is the remainder when 147563557 is divided by 38? 19 What is the remainder when 2187603 is divided by 1715? 978 Calculate the remainder when 39469 is divided by 1504. 365 What is the remainder when 720571 is divided by 625? 571 Calculate the remainder when 1550619 is divided by 1550619. 0 What is the remainder when 9429335 is divided by 39786? 53 What is the remainder when 797040004 is divided by 652? 648 What is the remainder when 69048 is divided by 1339? 759 What is the remainder when 9976878 is divided by 4881? 114 Calculate the remainder when 1056140 is divided by 36418. 18 What is the remainder when 56755 is divided by 11032? 1595 Calculate the remainder when 11643080 is divided by 130. 20 What is the remainder when 218767 is divided by 182? 3 Calculate the remainder when 1169636 is divided by 794. 74 What is the remainder when 16319 is divided by 326? 19 What is the remainder when 857293 is divided by 88? 85 What is the remainder when 4536330 is divided by 378025? 30 Calculate the remainder when 254405 is divided by 125108. 4189 What is the remainder when 994778271 is divided by 14? 11 Calculate the remainder when 7490877 is divided by 57. 51 Calculate the remainder when 2506 is divided by 233. 176 Calculate the remainder when 46772 is divided by 278. 68 What is the remainder when 4245201 is divided by 11? 4 Calculate the remainder when 37391711 is divided by 78. 71 Calculate the remainder when 653992 is divided by 72617. 439 Calculate the remainder when 21212786 is divided by 2651597. 10 What is the remainder when 1750911 is divided by 36? 15 Calculate the remainder when 8029079 is divided by 802907. 9 What is the remainder when 9471393 is divided by 31? 25 What is the remainder when 10988445 is divided by 51? 36 What is the remainder when 30706 is divided by 9086? 3448 What is the remainder when 85899 is divided by 36? 3 What is the remainder when 53537626 is divided by 8347? 8315 What is the remainder when 1275045 is divided by 485? 465 What is the remainder when 9015679 is divided by 131? 128 Calculate the remainder when 47620488 is divided by 91. 6 What is the remainder when 142032 is divided by 2961? 2865 What is the remainder when 3191431 is divided by 582? 325 Calculate the remainder when 69034 is divided by 398. 180 What is the remainder when 1364354 is divided by 2644? 50 What is the remainder when 55990750 is divided by 18663581? 7 What is the remainder when 46136 is divided by 5761? 48 What is the remainder when 916467499 is divided by 12247? 12242 Calculate the remainder when 69818 is divided by 21062. 6632 Calculate the remainder when 3923025 is divided by 1333. 6 What is the remainder when 63493 is divided by 349? 324 Calculate the remainder when 389089 is divided by 3238. 529 What is the remainder when 21266 is divided by 10543? 180 What is the remainder when 1600826 is divided by 800164? 498 Calculate the remainder when 1938141 is divided by 346. 195 Calculate the remainder when 94561763 is divided by 60. 23 What is the remainder when 4523357 is divided by 18311? 540 What is the remainder when 254158 is divided by 1096? 982 What is the remainder when 1405247 is divided by 599? 592 What is the remainder when 57451 is divided by 28713? 25 What is the remainder when 15318819 is divided by 389? 388 Calculate the remainder when 3550309 is divided by 8433. 16 What is the remainder when 76720 is divided by 1273? 340 What is the remainder when 64038812 is divided by 7382? 7344 What is the remainder when 2178030 is divided by 414? 390 Calculate the remainder when 9546 is divided by 1183. 82 Calculate the remainder when 550240 is divided by 553. 5 Calculate the remainder when 24972 is divided by 8234. 270 Calculate the remainder when 20410998 is divided by 5281. 5214 What is the remainder when 179796 is divided by 179763? 33 What is the remainder when 200355 is divided by 3997? 505 Calculate the remainder when 195361 is divided by 21480. 2041 Calculate the remainder when 1390307 is divided by 12. 11 What is the remainder when 32121863 is divided by 232767? 17 What is the remainder when 1523 is divided by 1507? 16 What is the remainder when 41273138 is divided by 50? 38 Calculate the remainder when 1421307 is divided by 238. 209 What is the remainder when 9966628 is divided by 52? 48 What is the remainder when 10181291 is divided by 170? 161 Calculate the remainder when 617906 is divided by 1931. 1917 Calculate the remainder when 1659588 is divided by 1673. 1645 Calculate the remainder when 18385134 is divided by 335. 334 What is the remainder when 4678847 is divided by 359900? 147 What is the remainder when 14470 is divided by 5754? 2962 Calculate the remainder when 2376209 is divided by 483. 332 Calculate the remainder when 724005 is divided by 582. 579 Calculate the remainder when 180354898 is divided by 1353. 1351 Calculate the remainder when 10386092 is divided by 1385. 1362 Calculate the remainder when 11546009 is divided by 135. 134 Calculate the remainder when 88736032 is divided by 105. 7 What is the remainder when 920108 is divided by 245? 133 What is the remainder when 80749090 is divided by 5402? 5396 What is the remainder when 2955972 is divided by 339? 231 Calculate the remainder when 231616 is divided by 1565. 1561 What is the remainder when 1581722 is divided by 1064? 618 Calculate the remainder when 433658876 is divided by 3. 2 What is the remainder when 1973592 is divided by 2225? 17 Calculate the remainder when 756206 is divided by 8402. 26 What is the remainder when 35788 is divided by 5779? 1114 Calculate the remainder when 6859275 is divided by 3429560. 155 What is the remainder when 13873 is divided by 1734? 1 What is the remainder when 32125472 is divided by 159? 158 Calculate the remainder when 123538 is divided by 9. 4 Calculate the remainder when 1732535 is divided by 652. 171 What is the remainder when 11301176 is divided by 7? 5 Calculate the remainder when 95054 is divided by 94992. 62 Calculate the remainder when 235595 is divided by 77988. 1631 Calculate the remainder when 3027560 is divided by 4301. 3957 What is the remainder when 735780 is divided by 735765? 15 Calculate the remainder when 8214068 is divided by 16461. 29 Calculate the remainder when 86325 is divided by 28770. 15 What is the remainder when 376334 is divided by 75250? 84 Calculate the remainder when 36250 is divided by 352. 346 What is the remainder when 1528347 is divided by 142? 1 Calculate the remainder when 42711 is divided by 2670. 2661 What is the remainder when 62538639 is divided by 6? 3 What is the remainder when 195390 is divided by 4765? 25 Calculate the remainder when 217585 is
{ "pile_set_name": "DM Mathematics" }
n micrometers? 8750 What is 65.33747 decades in millennia? 0.6533747 What is 195525.7ms in nanoseconds? 195525700000 How many nanoseconds are there in 2.332707 days? 201545884800000 What is 17/4 of a millimeter in micrometers? 4250 How many meters are there in 357512.6cm? 3575.126 How many nanometers are there in 132047.5m? 132047500000000 How many hours are there in 28379.82 weeks? 4767809.76 How many grams are there in 52/5 of a kilogram? 10400 How many millilitres are there in 7/4 of a litre? 1750 How many millilitres are there in 1/4 of a litre? 250 What is 6850.56 tonnes in nanograms? 6850560000000000000 What is 5.372503 decades in millennia? 0.05372503 What is thirty-two fifths of a litre in millilitres? 6400 What is 57/5 of a centimeter in millimeters? 114 How many millilitres are there in 86.604 litres? 86604 How many milligrams are there in 41/2 of a gram? 20500 How many months are there in 49685.41 decades? 5962249.2 What is fifty-one quarters of a century in months? 15300 Convert 73733.51 days to nanoseconds. 6370575264000000000 How many kilograms are there in 9/10 of a tonne? 900 What is one tenth of a day in seconds? 8640 Convert 74180.68 days to minutes. 106820179.2 What is 21/4 of a kilogram in grams? 5250 What is 3/5 of a millimeter in micrometers? 600 Convert 594.6836cm to micrometers. 5946836 What is 3/50 of a tonne in kilograms? 60 What is fifty-one quarters of a decade in months? 1530 How many millilitres are there in 3/8 of a litre? 375 Convert 4.71022 tonnes to milligrams. 4710220000 What is 3/5 of a centimeter in micrometers? 6000 What is 41220.2 tonnes in kilograms? 41220200 Convert 849474.6 hours to seconds. 3058108560 What is fifty-five quarters of a micrometer in nanometers? 13750 How many milligrams are there in 68404.2ug? 68.4042 What is 9/10 of a century in years? 90 What is 16.786845 seconds in days? 0.0001942921875 How many years are there in 3/5 of a decade? 6 What is 17/4 of a year in months? 51 How many millilitres are there in 18/5 of a litre? 3600 Convert 208.5003 minutes to nanoseconds. 12510018000000 How many millimeters are there in 21/5 of a centimeter? 42 How many millilitres are there in 1/5 of a litre? 200 What is 91822.47ng in micrograms? 91.82247 Convert 0.8023861kg to tonnes. 0.0008023861 What is 0.1757648 micrograms in nanograms? 175.7648 How many litres are there in 1.774272 millilitres? 0.001774272 How many decades are there in 325262.6 years? 32526.26 What is 21/8 of a gram in milligrams? 2625 What is 36527.58 meters in nanometers? 36527580000000 What is twenty-six fifths of a tonne in kilograms? 5200 How many decades are there in 5.363029 millennia? 536.3029 How many nanometers are there in 3364.39 micrometers? 3364390 How many millilitres are there in 35.27397 litres? 35273.97 How many millimeters are there in 64/5 of a meter? 12800 What is 9/10 of a micrometer in nanometers? 900 What is 80583.11 hours in milliseconds? 290099196000 How many kilograms are there in nine tenths of a tonne? 900 What is 19/4 of a millennium in months? 57000 What is fourty-two fifths of a microgram in nanograms? 8400 How many kilograms are there in 37954.11ug? 0.00003795411 How many centuries are there in 1/10 of a millennium? 1 What is 21/5 of a litre in millilitres? 4200 How many micrometers are there in 62.2052mm? 62205.2 How many millilitres are there in 652.5088l? 652508.8 What is three fifths of a litre in millilitres? 600 Convert 79737.24 millennia to months. 956846880 What is thirteen twelths of a hour in minutes? 65 What is one quarter of a millennium in years? 250 Convert 67340.32 minutes to microseconds. 4040419200000 What is 8.750343 litres in millilitres? 8750.343 How many millennia are there in 0.1575616 decades? 0.001575616 What is five eighths of a micrometer in nanometers? 625 How many minutes are there in 7/3 of a hour? 140 Convert 25.621359 hours to days. 1.067556625 What is 0.3994953um in millimeters? 0.0003994953 What is one tenth of a litre in millilitres? 100 What is 5/6 of a day in seconds? 72000 Convert 17.33517um to kilometers. 0.00000001733517 How many grams are there in 516774.9 micrograms? 0.5167749 What is fourty-one halves of a millimeter in micrometers? 20500 How many nanograms are there in 29/5 of a microgram? 5800 What is nine tenths of a day in seconds? 77760 How many micrograms are there in 4.648287 tonnes? 4648287000000 What is 4.035969 millimeters in kilometers? 0.000004035969 What is three eighths of a kilometer in meters? 375 What is 1542.104 grams in kilograms? 1.542104 What is 0.928772 nanometers in kilometers? 0.000000000000928772 How many grams are there in fourty-one halves of a kilogram? 20500 What is 47.30436 tonnes in micrograms? 47304360000000 How many kilograms are there in 17/2 of a tonne? 8500 How many seconds are there in 4.549967 days? 393117.1488 How many milligrams are there in one tenth of a kilogram? 100000 Convert 70995.56 meters to millimeters. 70995560 How many months are there in 5/24 of a decade? 25 What is 5/6 of a century in months? 1000 How many tonnes are there in 26286.08 milligrams? 0.00002628608 What is 8.216039 hours in seconds? 29577.7404 Convert 25.38013 centuries to millennia. 2.538013 What is 31/5 of a gram in milligrams? 6200 Convert 7.705452 centuries to decades. 77.05452 Convert 106.825797 seconds to days. 0.0012364096875 How many hours are there in 1605.0528 microseconds? 0.000000445848 How many months are there in 7/2 of a decade? 420 Convert 6028.843 weeks to days. 42201.901 What is eighteen fifths of a milligram in micrograms? 3600 How many milligrams are there in 381062.3 tonnes? 381062300000000 What is 95078.9 days in nanoseconds? 8214816960000000000 What is twenty-one fifths of a meter in millimeters? 4200 How many micrograms are there in 1/5 of a milligram? 200 What is 37/2 of a milligram in micrograms? 18500 How many weeks are there in 10222.18029 microseconds? 0.000000016901753125 How many centimeters are there in 29/5 of a meter? 580 How many nanograms are there in eleven halves of a microgram? 5500 How many centimeters are there in 0.0109277 kilometers? 1092.77 Convert 9.407756 weeks to days. 65.854292 How many centimeters are there in thirteen quarters of a meter? 325 Convert 21642.7 weeks to seconds. 13089504960 How many nanograms are there in 868.425 kilograms? 868425000000000 What is three sixteenths of a kilometer in centimeters? 18750 What is 64/5 of a tonne in kilograms? 12800 How many years are there in 3/5 of a century? 60 What is 41064.64 centimeters in micrometers? 410646400 What is 0.3826884s in nanoseconds? 382688400 How many millimeters are there in 47/4 of a meter? 11750 How many meters are there in three fifths of a kilometer? 600 How many centimeters are there in 0.7831383um? 0.00007831383 How many litres are there in 0.3775339ml? 0.0003775339 How many millimeters are there in 3/32 of a kilometer? 93750 What is 3/8 of a micrometer in nanometers? 375 How many years are there in three fifths of a millennium? 600 What is 12/25 of a millennium in years? 480 How many months are there in 28/3 of a century? 11200 How many micrometers are there in 3/10 of a millimeter? 300 How many microseconds are there in three tenths of a millisecond? 300 What is 7.888307mm in kilometers? 0.000007888307 Convert 4.683542 centuries to years. 468.3542 How many micrometers are there in 3/32 of a meter? 93750 How many nanograms are there in 49059.23 milligrams? 49059230000 How many millilitres are there in 6/25 of a litre? 240 How many litres are there in 209.1704ml? 0.2091704 What is sixty-one quarters of a meter in centimeters? 1525 Convert 430.0074m to micrometers. 430007400 What is 25/8 of a litre in millilitres? 3125 How many months are there in seven thirds of a millennium? 28000 What is 21/5 of a litre in millilitres? 4200 How many micrograms are there in 33/5 of a milligram? 6600 How many grams are there in 59/4 of a kilogram? 14750 What is 40798.61 kilograms in tonnes? 40.79861 How many years are there in 11/2 of a millennium? 5500 Convert 0.9965215 grams to micrograms. 996521.5 What is 78.09844 centuries in millennia? 7.809844 What is 189.5203l in millilitres? 189520.3 What is five sixths of a minute in milliseconds? 500
{ "pile_set_name": "DM Mathematics" }