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scaling_mia_the_pile_00_DM_Mathematics

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Calculate a(f(z)). 15*z**2 Let a(d) = -d**2. Let z(y) be the second derivative of y**7/126 - y**4/2 - 3*y. Let b(r) be the third derivative of z(r). Determine b(a(t)). 20*t**4 Let t(c) = -2*c - 11 - 31 + 42. Let o(k) be the second derivative of -5*k**3/3 - k**2 + k. Let b(p) = -9*p - 3. Let q(a) = 2*b(a) - 3*o(a). Determine t(q(r)). -24*r Let m(v) be the third derivative of v**5/60 + 377*v**2. Let l(t) = 0*t**2 + t**2 - 2*t**2. Give m(l(s)). s**4 Suppose -4 = 7*b - 9*b. Let h(p) = -b - 1 + 3 + 3*p. Let t(n) = 12*n. What is h(t(d))? 36*d Let x(d) be the third derivative of d**7/1008 + 19*d**5/60 - 15*d**2. Let k(q) be the third derivative of x(q). Let j(w) = -w**2. Give k(j(v)). -5*v**2 Let l(r) = r - 1. Let c(t) be the third derivative of -t**5/60 + t**4/4 - t**3 + 36*t**2. Let y(k) = -c(k) + 6*l(k). Let n(o) = 3*o**2. What is n(y(i))? 3*i**4 Suppose -29*u + 284 = -25*u. Suppose 24 = p - 47. Let j(y) = -p - 2*y + u. Let w(k) = 3*k**2. Calculate j(w(x)). -6*x**2 Suppose 68 = 10*w - 6*w. Let c be w/8 + (-3)/24. Let i(d) = 7*d**2 + 7*d**2 - 16*d**c. Let k(h) = 13*h**2. Calculate i(k(j)). -338*j**4 Let d(f) = 2*f**2. Let a(r) = -337050*r. What is d(a(j))? 227205405000*j**2 Let g(y) = 9*y + 1. Let h(t) = -53*t - 4. Let u(d) = -2*g(d) - h(d). Let n(z) = 3*z. What is u(n(o))? 105*o + 2 Let l(q) = 8*q**2 - 889. Let f(r) = -13*r. Give l(f(p)). 1352*p**2 - 889 Let n(s) = 247*s**2. Let p(i) = -2*i**2 + 1. Give p(n(o)). -122018*o**4 + 1 Let u(x) = 2153*x**2. Let z(y) = 225*y. Determine z(u(k)). 484425*k**2 Let t(h) be the first derivative of 4*h**3/3 - 4. Let r(u) = -3*u - 385 + 385. Determine r(t(n)). -12*n**2 Let w(l) = -18*l. Let v(i) = 15368*i**2 - 1. Give v(w(x)). 4979232*x**2 - 1 Let m(a) = -1. Let r(c) = -c - 7. Let j(d) = 14*m(d) - 2*r(d). Let p be (-66)/(-18) - (-2)/(-3). Let h(v) = 9*v**2 + p - 12*v**2 - 3. Calculate j(h(g)). -6*g**2 Let l(q) be the second derivative of q**4/6 - 51*q. Let n(p) = -53*p + 1 + 77*p**2 + 101*p - 48*p. Give n(l(v)). 308*v**4 + 1 Let m(j) = 1183 - j - 1183. Let f(u) = 574*u - 2. What is f(m(x))? -574*x - 2 Let a(t) = -2*t**2. Let j(v) = v. Let x(r) = -4*r. Let o(m) = -3 + m + 0 + 11. Let l be o(-7). Let w(d) = l*x(d) - 4*j(d). What is a(w(s))? -128*s**2 Let w(g) = 23*g. Let c(t) = -t - 11*t + 9*t. Give c(w(a)). -69*a Let h(j) = 13*j. Let k(d) = 458*d**2. Calculate k(h(l)). 77402*l**2 Let v(z) be the second derivative of z**4/3 + z. Let x(p) = 77*p + 74*p - 6 - 136*p. Let g(l) = -13*l + 5. Let j(s) = 6*g(s) + 5*x(s). Give j(v(f)). -12*f**2 Let c(i) = -25*i. Let y(m) = -1139*m**2 + 5*m. Determine c(y(d)). 28475*d**2 - 125*d Let i(p) = p**2 - 4*p + 4. Let q(z) = -z**2 + 5*z - 5. Let l(m) = 5*i(m) + 4*q(m). Let b(v) be the first derivative of -19*v**3/3 + 462. Determine l(b(u)). 361*u**4 Let n(v) = -3*v**2 + v + 1. Let k(j) = -17*j**2 + 5*j + 5. Let c(l) = k(l) - 5*n(l). Let q(t) = -217*t + 1. Calculate c(q(x)). -94178*x**2 + 868*x - 2 Let b(l) = -2*l - 5. Let s(r) = -2*r**2 + 1975*r. Calculate s(b(v)). -8*v**2 - 3990*v - 9925 Let k(l) = 61*l. Let u(b) = -2918*b. Determine k(u(o)). -177998*o Let p(t) = t**2. Let f(b) = 805*b**2 - 80. Let s(m) = -115*m**2 + 12. Let q(g) = -3*f(g) - 20*s(g). Calculate q(p(l)). -115*l**4 Let l(u) = 2*u**2. Let i(r) = -849561*r. What is l(i(c))? 1443507785442*c**2 Let d(v) be the third derivative of -v**5/12 + 2*v**2. Let g(a) be the first derivative of -a**2 - 4. What is d(g(h))? -20*h**2 Let o(a) = 53*a**2. Let r(p) = -2*p**2 + 161 - 161. Give o(r(y)). 212*y**4 Let j(s) be the second derivative of 7*s**4/12 - 10*s. Suppose 0 = -0*w - 2*w. Let h(t) = t**2 + 2*t - 2*t + w*t. Determine j(h(r)). 7*r**4 Let s(w) = 2*w. Let l(m) = -21 + 14*m + 8 + 5 + 2. What is s(l(a))? 28*a - 12 Let l(g) = 3*g. Let c(r) = 120272*r + 2. Give c(l(p)). 360816*p + 2 Let j(r) = -8667*r. Let h(t) = 5*t**2. Determine h(j(k)). 375584445*k**2 Let i(f) = -14*f**2 + 3*f + 3. Let k(r) = -83*r**2 + 17*r + 17. Let a(z) = 34*i(z) - 6*k(z). Let q(o) = o**2 + 13. Give a(q(g)). 22*g**4 + 572*g**2 + 3718 Let a(c) = -28*c**2. Let f(x) be the second derivative of 0*x**2 + 0*x**3 + 1/6*x**4 + 6*x + 0. Give f(a(y)). 1568*y**4 Let l(d) = 92*d**2. Let p(s) = -2*s - 32*s + 44*s. Determine p(l(a)). 920*a**2 Let o(z) = -223*z**2. Let d(r) = 1201*r. Give d(o(p)). -267823*p**2 Let i(r) = 2*r + 6. Let v(d) = 6*d**2 + 16*d. Let c(s) = 2*s**2 + 5*s - 3821 + 3821. Let t(o) = 16*c(o) - 5*v(o). Give t(i(x)). 8*x**2 + 48*x + 72 Let q(o) = -195*o + 4420. Let k(c) = -c + 17. Let g(j) = 260*k(j) - q(j). Let i(u) = -13*u. What is g(i(l))? 845*l Let j(f) = 3492*f**2. Let s(b) = 128*b**2. Determine j(s(g)). 57212928*g**4 Let w(f) = -12*f**2 + 3. Let j(d) = -706*d**2 - 1. Give w(j(a)). -5981232*a**4 - 16944*a**2 - 9 Let z(m) = 2*m. Suppose -2*g + g + 3*c + 20 = 0, -67 = -4*g - c. Let d(i) = 0*i**2 + g - 17 - 3*i**2. What is d(z(n))? -12*n**2 Let f(s) = -221*s**2 + 51*s. Let l(t) = 22*t**2 - 5*t. Let i(v) = -5*f(v) - 51*l(v). Let x(m) = 4*m - 4*m + 1756*m**2 + 1756*m**2 - 3514*m**2. What is x(i(q))? -578*q**4 Let z(w) = 43825*w. Let s(v) = -2*v**2. Calculate z(s(q)). -87650*q**2 Let b(h) = -2*h**3 + 7*h**2 + 5*h + 2. Let v be b(4). Let s(k) = -13 - 2*k + 7 + v. Let c(z) = 8*z**2. Determine s(c(i)). -16*i**2 Let s(g) be the third derivative of g**4/24 - 57*g**2. Let i(a) = -a + 4*a**2 + 0*a + a. Calculate s(i(m)). 4*m**2 Let i(s) = -122*s**2. Let h(q) be the third derivative of -q**4/24 - 816*q**2. Calculate i(h(x)). -122*x**2 Let s(d) = -d + 0*d + 2*d. Let f(r) = -1. Let w(o) = -3*o - 6. Let c(n) = 2*f(n) - w(n). Let j(u) = 7*u + 9. Let b(q) = -9*c(q) + 4*j(q). Give b(s(a)). a Let v(u) = -6*u. Let x(o) = -7999*o. What is v(x(f))? 47994*f Let d(k) = 8*k. Let s = -50 - -70. Let g(l) = -s*l**2 + 34*l**2 - 13*l**2. Give g(d(a)). 64*a**2 Let z(q) = 8320 + 2*q**2 - 4*q**2 - 8320. Let l(m) = 2 + 3*m - 2 + 5 + 2. Give l(z(y)). -6*y**2 + 7 Let l(k) = k - 2. Let a(s) = 6*s - 11. Let r(n) = -2*a(n) + 11*l(n). Let g(o) = 23*o - 2. Calculate r(g(h)). -23*h + 2 Let h(o) = 7*o + 2. Let t(u) = -6*u - 2. Let v(f) = -6*h(f) - 4*t(f). Let g be v(-6). Let z(j) = 104 - g - 9*j**2. Let k(r) = -3*r. Calculate z(k(a)). -81*a**2 Let s(g) = -4*g**2. Let p(h) = 3*h. Let y(o) = 7 - 3*o + 8*o - 7. Suppose -18 + 1 = d - 4*m, 4*d + 8 = 4*m. Let n(f) = d*y(f) - 4*p(f). Determine n(s(b)). -12*b**2 Let m(f) = 10*f - 17*f - 11*f. Let c(l) = -3*l**2 + 10*l. Let j(n) = n**2 - 2*n. Let k(d) = -c(d) - 5*j(d). What is k(m(y))? -648*y**2 Let o(k) = -k**2. Let c(p) = -11912145*p**2. Determine o(c(t)). -141899198501025*t**4 Let s(o) = 5571*o + 3. Let i(g) = -5*g. What is s(i(d))? -27855*d + 3 Let q(j) = 30*j**2 - 2. Let m(s) = 563 + 5*s - 563 - 7*s. What is m(q(b))? -60*b**2 + 4 Let p(d) = -d. Let f(q) = 71505*q + 10. Determine p(f(l)). -71505*l - 10 Let z(b) = b + 5. Let k(r) = 3*r + 14. Let p(l) = 6*k(l) - 17*z(l). Let w(j) = -24*j + 2. Let o(v) = -2*p(v) - w(v). Let s(q) = 4*q**2. Determine o(s(u)). 88*u**2 Let q(y) = -12*y**2. Let w(u) = 3572*u**2 - 1833*u - 611. Let z(d) = -35*d**2 + 18*d + 6. Let b(f) = 6*w(f) + 611*z(f). Determine b(q(c)). 6768*c**4 Let f(t) = -240497*t**2. Let b(k) = -10*k**2. Give f(b(w)). -24049700*w**4 Let q(h) = h. Let z(a) = 1028036*a. Give q(z(n)). 1028036*n Let y(v) = v**2. Let k(t) = -t**2 - t - 10. Let s(x) = 4*x**2 + 2*x + 29. Let q(z) = -7*k(z) - 2*s(z). Let n be q(5). Let r(b) = 3*b**n - 15 + 15. Give r(y(u)). 3*u**4 Let a(u) = u. Let v be 4 + 1 + -2 + 2 + -3. Let g(b) = 0*b**2 - 653*b + v*b**2 + 653*b. Determine g(a(m)). 2*m**2 Let j(o) = 3*o. Let d(q) be the second derivative of 0*q**2 + 0*q**3 - 16*q + 0 + 1/3*q**4. Determine j(d(b)). 12*b**2 Let q(d) = -2*d. Let v(k) = -90733*k**2. Calculate q(v(a)). 181466*a**2 Let l(i) = -207*i - 63. Let c(o) = -13*o - 4. Let s(b) = 63*c(b) - 4*l(b). Let d(t) = -9*t**2. What is d(s(y))? -729*y**2 Let m(d) = 91*d**2. Let t(g) = 148*g + 143*g - 568*g + 143*g + 139*g. What is t(m(s))? 455*s**2 Let a(v) be the second derivative of 0*v**2 + 0*v**3 + 0 - 1/2*v**4 + 7*v. Let f(q) = 3*q**2. What is f(a(d))? 108*d**4 Let y(x) = 5*x**2 + 20*x. Let m(c) = 48 + 51 - 99 + c**2 + 0*c**2. Calculate y(m(u)). 5*u**4 + 20*u**2 Let t(v) be the third derivative of -v**5/120 + v**3/3 - 2*v**2. Let p(k) be the first derivative of t(k). L
{ "pile_set_name": "DM Mathematics" }
1584) - ((sqrt(1584) + 1 - sqrt(1584)) + 3))))**2. 672*sqrt(11) + 77632 Simplify (5*sqrt(2100)*-2)/((sqrt(300) + sqrt(300) + (sqrt(300) - (sqrt(300) + 4*sqrt(300)*-1 - sqrt(300))) + sqrt(300) - sqrt(300)) + sqrt(300)). -5*sqrt(7)/4 Simplify ((-6*sqrt(68)*1*1)/(sqrt(36)/(sqrt(108)/sqrt(48))))**2. 153 Simplify 3 + (-5*(sqrt(7) + -1)*6 - sqrt(847)*-1*3). 3*sqrt(7) + 33 Simplify (5 + (-1 + (sqrt(637) - (sqrt(637) + 0)) - (-1 + sqrt(637) + -3) - (4 + -3 + 2*sqrt(637))))**2. -294*sqrt(13) + 5782 Simplify sqrt(495)/(sqrt(11) + sqrt(44)/sqrt(4)*3) - (-2 + (sqrt(5445) + -4*sqrt(5445))**2). -49003 + 3*sqrt(5)/4 Simplify -2*-3*((1*sqrt(343) - sqrt(343))*-1 + sqrt(343))**2. 2058 Simplify -2 + (sqrt(432)*3)**2*1 + 0. 3886 Simplify 0 + 2 + (-3*(sqrt(448) + 0 + sqrt(448)) + (sqrt(448)*2 + 1)**2)*-4. -7170 + 64*sqrt(7) Simplify ((-2*sqrt(187)*-4 + ((-1*sqrt(187) + sqrt(187))*-6 + sqrt(187) - sqrt(187)) + sqrt(187))/(sqrt(110)/(1*sqrt(160))))**2. 22032 Simplify 5 + (sqrt(288)*1)**2 + -5 + -3 + (4*(sqrt(288) + 1))**2. 384*sqrt(2) + 4909 Simplify 5*(sqrt(132) - (-1*sqrt(132)*1 + sqrt(132)))/(sqrt(24)/(sqrt(4)/sqrt(2)) + sqrt(12)). 5*sqrt(11)/2 Simplify (sqrt(456)/sqrt(8)*-4)/(1*sqrt(3)*-5). 4*sqrt(19)/5 Simplify (3*(0 + -2*(sqrt(128) + sqrt(128)*-2 + 3 - sqrt(128)) + -3))**2. -5184*sqrt(2) + 19161 Simplify (sqrt(200) + -2 - (sqrt(8) - 4*(3 + sqrt(8))))**2. 320*sqrt(2) + 612 Simplify (-2 + -2*sqrt(1152))*-6. 12 + 288*sqrt(2) Simplify ((sqrt(540)*-2)/sqrt(9) + sqrt(60))/(sqrt(24)/sqrt(32))*-6. 24*sqrt(5) Simplify (-3 + (sqrt(891) - (1 + sqrt(891)*-1) - (sqrt(891) + -1 + -5)))**2. 36*sqrt(11) + 895 Simplify 2 + (-6*(sqrt(475)*1)**2 + (sqrt(475) - 5*(sqrt(475) + (sqrt(475)*-2 - sqrt(475))))**2)*3. 163877 Simplify 3*((sqrt(228) + ((sqrt(228) - -1*sqrt(228)) + sqrt(228))*5)/(1*sqrt(48)) + 0). 24*sqrt(19) Simplify ((2*(sqrt(68) + sqrt(68)*-2))/(-5*sqrt(20)/sqrt(5)) + 0)**2. 68/25 Simplify -3*(-4 + (-4 + sqrt(325)*-1)**2)*-1. 120*sqrt(13) + 1011 Simplify (4*(sqrt(99) - sqrt(99)*-2)*-4)/((-3*sqrt(81) - sqrt(81) - sqrt(81) - sqrt(81))*-3). -8*sqrt(11)/9 Simplify (4*(sqrt(187)*-2*1 + sqrt(187)))/(-6*sqrt(99)*3 + sqrt(99)). 4*sqrt(17)/51 Simplify ((-1 + sqrt(21)/sqrt(3) - (sqrt(112) + -1)) + 3*(sqrt(448) + sqrt(448)*2))**2*-3 + -4. -99985 Simplify (-2*(-2*sqrt(117)*5 - sqrt(117)))/(4*2*sqrt(441)). 11*sqrt(13)/28 Simplify (-1 + ((sqrt(175) + sqrt(175) + 0 + sqrt(175) + sqrt(175))*-3 - sqrt(175)) + sqrt(175) + sqrt(175) + -1 + 4*-1*sqrt(7))**2. 236*sqrt(7) + 24371 Simplify ((sqrt(133)*-2*5)/(sqrt(847)*1))**2 - (2*sqrt(209)*1)/(sqrt(77)/(sqrt(112) + sqrt(7))). -10*sqrt(19) + 1900/121 Simplify ((sqrt(720) - (0 + sqrt(720))) + -1)**2 + (sqrt(720)*1*-1)**2 + (1*(sqrt(480) + sqrt(30)) - sqrt(30))/(1*sqrt(6)*1). 4*sqrt(5) + 721 Simplify -5*(sqrt(2057) - (sqrt(2057) + -1)) - -6*(1 + sqrt(2057)). 1 + 66*sqrt(17) Simplify ((4 + (2*sqrt(130)*-4)/(2*sqrt(20)/sqrt(2)))*-5)**2. -800*sqrt(13) + 5600 Simplify sqrt(204)/(sqrt(12) - 1*2*sqrt(12)) + 0 + 1*sqrt(1088). 7*sqrt(17) Simplify ((sqrt(102)*-2*5 + 4*2*sqrt(102))/(sqrt(864) + 1*sqrt(864)))**2. 17/144 Simplify 1*((sqrt(539) + sqrt(539)*1)/sqrt(11) + (sqrt(49) + sqrt(49)*2*4 - sqrt(49)))/(sqrt(7)*1*-3 - (sqrt(7) + (sqrt(448) - 1*sqrt(448)))). -5*sqrt(7)/2 Simplify sqrt(11) + ((sqrt(99)*2)/sqrt(9) + sqrt(11))**2 + 2*sqrt(11)*6 + (-1 + 2 + sqrt(11))*-6. 7*sqrt(11) + 93 Simplify -1*5*(-2 + (-5 + -1 + sqrt(1331))**2). -6825 + 660*sqrt(11) Simplify 2*(sqrt(170)/(-2*sqrt(5)))/(2*sqrt(4)/sqrt(2)). -sqrt(17)/2 Simplify -2 + ((sqrt(242) - 6*(sqrt(242) + 2 + sqrt(242)) - sqrt(242)) + (-3 + -1*sqrt(242) - sqrt(242)))**2. 4620*sqrt(2) + 47655 Simplify -6*(0 + (sqrt(99)*2 - -4*sqrt(44))**2 + (sqrt(539) - -2*(sqrt(539) + sqrt(539) + 1 + sqrt(539) + sqrt(539)))**2). -274914 - 1512*sqrt(11) Simplify ((sqrt(1125) - (-1*sqrt(1125)*4 - sqrt(1125))) + sqrt(1125))/(sqrt(576)*2*3). 35*sqrt(5)/48 Simplify (-3 + (-5*sqrt(4320))/(sqrt(90)/(sqrt(9) - sqrt(729))))**2. -2880*sqrt(3) + 691209 Simplify sqrt(35)/(-2*sqrt(80)) + (sqrt(1008)*4 + sqrt(1008))/sqrt(4). 239*sqrt(7)/8 Simplify (4 + 1*(3 + sqrt(475) + sqrt(475)) + 1*(-1 + sqrt(475)*3 + sqrt(475)))**2. 360*sqrt(19) + 17136 Simplify ((sqrt(68)*-3 - sqrt(68))*-3 - sqrt(68))/((sqrt(32)/sqrt(2) - sqrt(16)) + sqrt(4)). 11*sqrt(17) Simplify 2 + (sqrt(57) + 4*sqrt(114)/sqrt(2))/(sqrt(3) + sqrt(15)/(sqrt(5)*-2) + sqrt(3)) + -3. -1 + 10*sqrt(19)/3 Simplify 5*(-6*(-1*sqrt(242) + 3 + 5 + 5))**2. -51480*sqrt(2) + 73980 Simplify 5*(sqrt(9)/sqrt(3)*4 + 4 - (-2 + sqrt(18)/(sqrt(12)/sqrt(2)))). 15*sqrt(3) + 30 Simplify (2 + -2 + (sqrt(162) - (0 + sqrt(162) - sqrt(162))) + sqrt(162) + sqrt(162))**2*-3. -4374 Simplify 1 + (((sqrt(567) - -1*sqrt(567))*6 - sqrt(567))/sqrt(9))/((sqrt(81) - (sqrt(81) + ((sqrt(81) + sqrt(81)*2 - sqrt(81)) + sqrt(81) - sqrt(81))))*-3). 1 + 11*sqrt(7)/18 Simplify 1*(sqrt(300) + -1*sqrt(300))*1*1. 0 Simplify (-5*(sqrt(76) + sqrt(76)*1 + 3 + -2)*1)**2. 200*sqrt(19) + 7625 Simplify (-1*sqrt(153))/sqrt(9) + (-3*sqrt(119))/sqrt(7) - 3*(-3 + (-2*sqrt(68))/sqrt(4))**2. -231 - 40*sqrt(17) Simplify ((sqrt(475) + 0)*6)**2 + 1 - ((sqrt(76)/sqrt(4) + -3 - 4*(1 + sqrt(19))) + 4)**2. -18*sqrt(19) + 16921 Simplify (2 + sqrt(112) + 0 + -1*(1*sqrt(112) - sqrt(112)))**2 + ((2*sqrt(112) - sqrt(112)) + 4 - ((sqrt(112) + 1 + 5)**2 + sqrt(112))). -32*sqrt(7) - 28 Simplify -6*-4*sqrt(38)/sqrt(2) + (-1*sqrt(2299)*-3)**2. 24*sqrt(19) + 20691 Simplify (sqrt(117)*-2 + -3)**2 - (-5 + -2 + sqrt(52)). 34*sqrt(13) + 484 Simplify (((sqrt(1088) + 0)*-2 + 4 + sqrt(1088) + -2)*4)**2. -512*sqrt(17) + 17472 Simplify (sqrt(75) - (sqrt(75) - -1*sqrt(75)*-3) - (sqrt(75) + 0 + -5))**2 + (3 + (4*-2*sqrt(33))/sqrt(11))**2. 52*sqrt(3) + 526 Simplify (sqrt(140)/(sqrt(21)/(sqrt(3)*1)))/((sqrt(40)/sqrt(16) + sqrt(10))*4). sqrt(2)/6 Simplify 1 + ((-1*-2*sqrt(120))/(sqrt(10) + (sqrt(20)/sqrt(2)*3 - sqrt(10))))**2. 19/3 Simplify (4 + (sqrt(550)/sqrt(250))/(sqrt(20)/sqrt(100)))**2. 8*sqrt(11) + 27 Simplify -2*(sqrt(175) - 4*(sqrt(175) + 1))*1 + 3 + -5. 6 + 30*sqrt(7) Simplify 0 + sqrt(11) + -1 + sqrt(44)/sqrt(4) - (-3 + sqrt(1100) + -1). -8*sqrt(11) + 3 Simplify -2*((-2*(sqrt(153) - (sqrt(153)*4 + sqrt(153))) - sqrt(153)) + sqrt(153))/((sqrt(9) - sqrt(81))*1). 8*sqrt(17) Simplify 4*((sqrt(931)*-4)**2*3 - sqrt(931))*4 + -3. -112*sqrt(19) + 715005 Simplify (1 + -1 + (sqrt(153) + -2 + sqrt(153) - sqrt(153))*-3)**2. -108*sqrt(17) + 1413 Simplify (((sqrt(500) + 2*sqrt(500) + sqrt(500))*-4 - -4*(sqrt(500) - (sqrt(500) + -2))) + -3 + -1)**2. -1280*sqrt(5) + 128016 Simplify (3*(-1*sqrt(1008) + sqrt(1008)) - sqrt(1008))/(-4*sqrt(144)). sqrt(7)/4 Simplify (sqrt(1728)*2*-1)/(sqrt(9) + sqrt(90)/(1*sqrt(10) + sqrt(10)) + sqrt(9) + sqrt(9) - (-1*sqrt(576) + sqrt(576) + sqrt(576)))*-4. -128*sqrt(3)/9 Simplify (sqrt(396)/(sqrt(9) - (sqrt(99)*3)/sqrt(11) - sqrt(9)))/((-1*sqrt(8))/sqrt(2) + sqrt(4) + sqrt(64)). -sqrt(11)/12 Simplify (-6*(-1 + sqrt(612) + -1))**2 - (1 + sqrt(612) + -1 - 2*(sqrt(612) - 1*sqrt(612)))**2. -864*sqrt(17) + 21564 Simplify ((-4*sqrt(27)*-1)/sqrt(9) + ((sqrt(384) + sqrt(24))/sqrt(4))/sqrt(2) + -1)**2. -18*sqrt(3) + 244 Simplify 5 + ((1 + -2*(-5 + (sqrt(5) - 3*sqrt(5))))*4)**2. 1408*sqrt(5) + 3221 Simplify 2 + (sqrt(17) + (sqrt(170) + (sqrt(170) - -4*sqrt(170)) - sqrt(170))/sqrt(10) - (-4 + sqrt(425))**2). -439 + 46*sqrt(17) Simplify (sqrt(68)/sqrt(36) + sqrt(17) + sqrt(153)/sqrt(9) + -3 + 5 + 2)**2. 56*sqrt(17)/3 + 977/9 Simplify (sqrt(4235)*1 + sqrt(4235))/sqrt(5) - (4*((sqrt(63) + -2*sqrt(63))/sqrt(9) + sqrt(7)))**2. 22*sqrt(7) Simplify (sqrt(117)*2 - sqrt(117)) + -5 - (2*(sqrt(117) + sqrt(117) + 2*sqrt(117)) + sqrt(117)) - (-1*(sqrt(117) + (sqrt(117)*2)**2) + 3). -21*sqrt(13) + 460 Simplify (-1*(sqrt(119) + -1*sqrt(119)*-1))/(-5*sqrt(7)*-1 - sqrt(14)/(sqrt(6)/sqrt(3))). -sqrt(17)/2 Simplify (-4 + (3 + 5 + -1*sqrt(13) - ((sqrt(13) - -1*(1 + sqrt(13))) + (sqrt(143)*-1)/sqrt(11))))**2*-2. -122 + 24*sqrt(13) Simplify (-5 + (sqrt(242)*2 + 4 - sqrt(242)))**2 - (3 + (sqrt(50) - sqrt(150)/(-2*sqrt(3))))**2. -67*sqrt(2) + 243/2 Simplify (sqrt(720)/(-6*sqrt(12)*2))/(-6*(sqrt(1200) + sqrt(1200)*-2)). -sqrt(5)/720 Simplify ((sqrt(80) - ((2*sqrt(80) - sqrt(80) - sqrt(80))*-6 + sqrt(80)))/sqrt(8))/(sqrt(50) - (sqrt(4050) - (sqrt(4050) - 1*sqrt(4050)))
{ "pile_set_name": "DM Mathematics" }
11142*d**2 - 20*d + 21. Is z(1) a prime number? False Let v = -2429 + 4136. Is v prime? False Suppose 4*l = 5*b + l - 11, 3*l = -b + 13. Let t be 1/(((-12)/b)/3054). Is t/(-8) - (-5)/(-20) a prime number? True Suppose -2*s - 5*g = -22, s + 2*g - 16 = -s. Suppose -4*b + 8 = 4*v, 0 = -5*b - v - 4 + s. Suppose -3*d + 4*d - 1157 = b. Is d prime? False Let x = -46955 - -148876. Is x prime? True Let j(t) = 1668*t**2 + 12*t + 1. Is j(-1) a prime number? True Suppose 0 = -866*g + 871*g - 115. Is g composite? False Is (0 + 1)*-122361*(-3)/9 prime? True Suppose 0 = 4*g - 16 - 8. Suppose -i + g*i - 30 = 0. Is -21*(-4)/i + 1 prime? False Let u(b) = 3 - 3 - b**2 - 8*b + 3 - 11*b. Let j(d) = -d**2 - 39*d + 7. Let o(f) = 2*j(f) - 5*u(f). Is o(-17) a composite number? False Suppose 4*n = 2*n. Suppose o - f = 3, 4*o - 3*f + 0*f - 9 = n. Suppose -70 = -5*w - j + 5*j, -4*w + j + 45 = o. Is w composite? True Let p(l) = 3 + 4 - 7*l + 1 + 1. Is p(-8) a prime number? False Suppose -3*v + 2*v = -18. Suppose -2*u = -5*r + v, 2*r = 3*u - 0*r + 5. Is 114/5 - u/(-5) a prime number? True Let o(y) = 32*y**2 + 2*y - 2. Let l be o(4). Suppose -5*c = 3*a - a - 25, 5*c = -3*a + 30. Suppose b + l = c*b. Is b composite? True Let m(j) = 487*j**2 + 3*j - 6 + 6 - j. Let i be m(1). Suppose -3*n + i = -264. Is n a prime number? True Suppose -38*w - 6119 = -39*w. Is w composite? True Suppose 2*u - 104055 = 132939. Is u a composite number? True Let o be 3346/3 - 34/(-51). Suppose r + o = 6*r - n, 3*n = -5*r + 1112. Is r a prime number? True Suppose 0*i = -5*l + 2*i + 696, 4*l + 3*i = 566. Suppose -6*f = -2*f - p - 91, 0 = 2*f + 2*p - 48. Suppose o - j = l, 107 + f = o - 3*j. Is o composite? True Let p = -1451 - -7920. Is p prime? True Let y(g) = 3*g + 4640. Let v be y(0). Suppose -3*w = -v - 277. Is w composite? True Is ((-2)/(-10))/((-80)/(-544400)) a prime number? True Let j(k) = k**2 - 11*k + 20. Let m be j(9). Suppose 0 = a - m, 4*a + 468 - 122 = 3*p. Is p prime? False Suppose 0 = -3*j + 4*d - 2*d + 87907, -2*d = -2*j + 58604. Is j a composite number? False Let k = 4148 + -855. Is k a composite number? True Suppose 0*y = 2*y - 30. Is 5208/y + 6/(-30) a composite number? False Let c(r) = r**3 + 13*r**2 - 3*r - 30. Let m be c(-13). Is 53*(16 + m/(-3)) prime? False Let p(w) = 11*w**2 + w + 11. Let c = -22 - -28. Is p(c) a prime number? False Let o be ((1*-9)/(-3) + -26)*-1. Is (o/(-3) - -4)*-87 composite? True Let h = 1043 - 669. Let o = 920 - h. Let p = o - 209. Is p composite? False Suppose 4*r = -3*b - 16, -b + 4 = -r - 0. Suppose 2*q - 2443 = -3*z, 5*q - 1625 = 2*z - 4*z. Suppose 0 = 4*l, -3*l + b*l - z = -5*k. Is k prime? True Is -7 - ((-2924436)/51 + (-10)/85) a composite number? True Let s(k) = 38*k + 15. Let c(f) = -113*f - 44. Let y(p) = 4*c(p) + 11*s(p). Let a be y(-8). Is (-10)/25*-5 + a composite? False Let m(j) = -3*j + 6. Let g(l) = 1. Let y(s) = 3*g(s) - m(s). Suppose 3*u - u = a + 23, -4*a + 28 = 2*u. Is y(u) prime? False Let v(f) = -51*f**2 - 6*f - 6. Let n be v(-3). Let h = n - -828. Is h a prime number? False Let p be (-21588)/15 - 1/(-5). Let v = 42 - p. Is v composite? False Is (-4 + 17)*(0 - (-671 - 2)) a prime number? False Let l(g) = -943*g + 254. Is l(-5) a prime number? True Suppose 102 = 4*j - 50. Suppose 0 = -j*n + 42*n - 1348. Is n prime? True Suppose 2*v - 68 = -4*r, 6*v - 95 = v + 5*r. Suppose 0 = 13*m - 11*m - v. Is ((-318)/m)/(2/(-4)) composite? False Suppose -7 = -2*k - 25. Let n be 6/k - 33/(-9). Suppose 0 = n*o - 27 - 168. Is o prime? False Let k = 6814 - 2279. Suppose -k = -5*u + 4*h, 3*h - 4*h = -4*u + 3628. Is u a composite number? False Let t = 69142 + -33069. Is t composite? False Let n(k) = 40*k**3 + 3*k**2 - 1. Let a(y) = y - 4. Let o(w) = -6*w. Let x be o(-1). Let f be a(x). Is n(f) a composite number? False Is (-4)/12*1*-669 composite? False Let p(u) = 2150*u - 195. Is p(5) prime? False Let a(h) = 102*h**2 + 438*h + 5. Is a(-13) composite? False Let x(n) = -12*n**3 - 4*n**2 - 4*n - 1. Let y be x(-3). Suppose -t + 2*k = -76, -4*t + 3*k = -0*k - y. Is t a prime number? False Is (-5 - (-996)/(-18))*-123*1 prime? False Suppose 11*m = 105346 + 2355. Is m a prime number? True Let w be (-44)/(-12) + (-2)/(-6). Suppose h + 2*x + 1 = 2*h, 2*h + w*x = 18. Suppose 5*t = h*a + 1125, t = 6*t + 5*a - 1105. Is t prime? True Let v(m) = -55*m - 241. Is v(-44) composite? False Let h = 13 - 5. Suppose 5*u - 731 + 245 = -4*p, 0 = 4*u - h. Is p a composite number? True Let p(j) be the second derivative of j**4/12 + j**3/3 + 9*j**2/2 - j. Suppose -14*w - 150 = w. Is p(w) a composite number? False Let h(r) = -232*r**3 - 4*r**2 - 3*r - 1. Let a be h(-2). Let p = 3169 - a. Suppose 2*x - p = -2*x. Is x composite? False Let t be 8 + (4 - 2) + -4. Let y(f) = -38*f**2 + 3*f - 3 + 18*f**2 + 3*f**3 + 25*f**2. Is y(t) a composite number? True Suppose 3*t + t - 2*l - 25502 = 0, 5*l - 5 = 0. Is 1/((-2)/t*-4) prime? True Let w(s) = 13465*s**3 + 4*s**2 - 29*s + 51. Is w(2) prime? False Let f = -16467 + 39898. Is f a composite number? False Let p(c) = -c**2 - 1. Let r(b) = -b**3 - 4*b**2 + 6*b + 7. Let v(s) = -2*p(s) - r(s). Let w be (-2)/(-7) - 572/91. Is v(w) a composite number? False Is 1 + 4 + (-13)/(117/(-148338)) prime? True Let y = 935 + -220. Let x = y + 54. Let g = -24 + x. Is g prime? False Let o be (-6)/9*-3 - 0. Suppose 0 = -2*y - 3*v - 9, 0 = 3*y + 2*v + 3 - o. Suppose -179 - 52 = -y*f. Is f prime? False Suppose -b - 3*b - 3*g = -211904, b + 2*g = 52981. Is b composite? False Let i(u) = -u**3 + 8*u**2 - 8*u + 7. Let n be i(7). Suppose n = -4*q + 728 + 876. Is q composite? False Let d = -20 + 50. Let p = d + 289. Is p a prime number? False Let h = 3858 + -2641. Suppose -5*m - 2467 = -2*a, a + 3*m - h = -0*m. Suppose 8*b = 10*b - a. Is b a prime number? True Suppose 13*z - 16*z + 45 = 0. Is (-13380)/(-25) + 12/z + -1 a prime number? False Let q = -82 + 164. Suppose 0*z = 4*z - 4*b - 80, -5*z = 4*b - q. Let j = 19 + z. Is j a composite number? False Suppose -o = 3*w + 430, -4*w + 3*o - 8*o - 555 = 0. Let s = w + 208. Suppose -5*q = -x + 3*x - 67, -5*q + 2*x + s = 0. Is q a composite number? False Suppose -4*x - 5*v = 14, -5*x + v - 5 + 2 = 0. Is x - 9/(18/(-10312)) prime? False Let z(i) = 17*i**2 + 18*i - 1. Is z(-18) a composite number? True Suppose b + 2*r + 5 = 0, b + 4 = -4*r - 1. Is b - 22/(-4) - 474/(-4) composite? True Let r(m) = -13*m**3 - 2*m**2 - m + 217. Is r(-15) a prime number? False Let r(v) = 81*v**2 + 8*v - 3. Let c(s) = 2*s**3 + 15*s**2 + 5*s - 18. Let p be c(-7). Is r(p) a composite number? True Let j be (3 + (-11)/3)*-1362. Let f be (-10)/4*j/(-5). Suppose 0 = -t - t + 4*a + 234, 0 = -4*t + a + f. Is t prime? True Let z be ((-4)/(-8))/((-2)/(-4)) + 1473. Suppose -l - u + 600 = l, 5*l = 4*u + z. Is l a composite number? True Let g(i) = -i**3 + 13*i**2 - 12*i + 13. Suppose 19 = 4*w - 37. Let v be g(w). Let a = 554 + v. Is a composite? True Suppose -2*h - 5*l + 5 = 0, 2*l + 0 - 2 = 0. Let i be ((h - 3)/1)/(-1). Suppose i*b - 194 - 55 = 0. Is b a prime number? True Let w = 1533 - 214. Is w a composite number? False Let y = 1448 + -693. Suppose 6*n - y = 5*n. Is n composite? True Let f(k) = 2*k**2 + 9*k + 2. Let d(j) = 2*j**3 - 2*j**2 - 2*j + 1. Let o be d(2). Let c = o + -12. Is f(c) prime? True Let r = -14 - 9. Let n = r - -15. Let x = 179 - n. Is x a composite number? True Suppose -5*h + 1 + 4 = 0. Let x(d) = 24*d + 110*d**3 + 148*d**3 - 23*d - 1 + d**2. Is x(h) prime? False Suppose 0 = 6*c - 19*c + 19981. Is c composite? True Let c(q) = q**3 + 23*q**2 - 47*q - 14. Is c(-19) a composite number? True Let r be ((-2)/(-6))/((-6)/(-342)). Let k(u) = 56 + 18 - r + u. Is k(0) a composite number? True Let c be 1/(-3) - (-936)/54. Suppose 1761 = -c*x + 20*x. Is x a composite number? False Let q(f) = -307*f - 28. Is q(-23) composite? True Let m(a) = 7*a**2 - 14*a + 18. Let r be m(13). Suppose 7*y - r = 2348. Let d = y + -272. Is d a prime number? False Let l(f) = 3*f**2 - 4*f - 6. Let i = -33 + 60. Let a be 8/(-36) + (-129)/i. Is l(a) a composite number? False Suppose -2*l - 2*i = 808 + 84, 3*l + 5*i + 1340 = 0. Let m = l - -1308. Is m composite? False Let b = 2252 + -1114. Let k = b + -667. Suppose -180 = -7*n + k. Is n a composite number? True Suppose
{ "pile_set_name": "DM Mathematics" }
1768*m**3 - 3516*m**2 + 1728*m + 20. 4*(m - 1)**2*(442*m + 5) Suppose 2*t**2/5 - 52*t + 1440 = 0. What is t? 40, 90 Find f, given that 3*f**3 - 150*f**2 - 18969*f + 19116 = 0. -59, 1, 108 What is g in -10*g**5/9 - 82*g**4/3 + 122*g**3/3 + 46*g**2/9 - 52*g/3 = 0? -26, -3/5, 0, 1 Factor 2*v**3 - 355*v**2/2 + 1271*v/2 + 170. (v - 85)*(v - 4)*(4*v + 1)/2 Find r such that -3*r**3/4 + 4351*r**2/4 + 43375*r/2 - 7350 = 0. -20, 1/3, 1470 Factor -h**4 - 1658*h**3 - 683917*h**2 + 2755596*h - 2762244. -(h - 2)**2*(h + 831)**2 Let 2*v**4/7 - 536*v**3 + 1767176*v**2/7 - 1003392*v + 7008768/7 = 0. Calculate v. 2, 936 Let -12*o**5 - 13584*o**4 + 27225*o**3 + 10185*o**2 - 23808*o + 6804 = 0. Calculate o. -1134, -1, 1/2, 2 Suppose -4*l**4 - 6104*l**3 - 2334768*l**2 - 4645152*l = 0. What is l? -762, -2, 0 Let -2*f**4/3 + 166*f**3/3 - 2656*f**2/3 + 14720*f/3 - 8192 = 0. What is f? 3, 8, 64 Suppose -3*p**4 + 165*p**3 + 4788*p**2 = 0. What is p? -21, 0, 76 Factor -z**4 - 1927*z**3 - 931216*z**2 - 2776332*z. -z*(z + 3)*(z + 962)**2 Determine b so that 771*b**5 + 3060*b**4 - 12432*b**3 - 48960*b**2 + 1536*b = 0. -4, 0, 8/257, 4 Determine l so that 4*l**5 - 302*l**4 + 4830*l**3 + 3260*l**2 - 12784*l + 4992 = 0. -2, 1/2, 1, 24, 52 Solve -2*b**5/3 - 64*b**4 - 2356*b**3/3 + 40432*b**2 + 41154*b = 0. -57, -1, 0, 19 Factor r**3/2 - 91*r**2/2 - 1666*r. r*(r - 119)*(r + 28)/2 Factor -4*k**2 - 484*k + 16688. -4*(k - 28)*(k + 149) Factor 2*h**2 - 840*h - 28928. 2*(h - 452)*(h + 32) What is i in -i**2 - 1370*i + 12411 = 0? -1379, 9 Factor -2*w**3 - 7390*w**2 - 14756*w + 59088. -2*(w - 2)*(w + 4)*(w + 3693) Let -d**2/5 - 541748*d/5 + 541749/5 = 0. What is d? -541749, 1 Solve -n**4/3 - 740*n**3/3 - 46124*n**2 - 544640*n/3 - 541696/3 = 0 for n. -368, -2 Factor 2*t**3/5 + 9946*t**2/5 + 9944*t/5. 2*t*(t + 1)*(t + 4972)/5 Factor -15*h**3 + 3130*h**2 + 27215*h - 19530. -5*(h - 217)*(h + 9)*(3*h - 2) Suppose -17*x**3/5 + 4037*x**2/5 + 2168*x/5 - 6188/5 = 0. Calculate x. -26/17, 1, 238 Solve -a**3/2 - 195*a**2 - 29663*a/2 - 14637 = 0. -287, -102, -1 Solve -2*m**5 + 123*m**4 + 212*m**3 - 8725*m**2 - 35400*m - 15500 = 0 for m. -5, -1/2, 10, 62 Determine a so that a**3/4 + 14*a**2 + 163*a/4 - 585 = 0. -52, -9, 5 Determine v so that 2*v**5/11 - 2320*v**4/11 - 28020*v**3/11 - 126360*v**2/11 - 252990*v/11 - 189864/11 = 0. -3, 1172 Factor 2*n**2/5 + 20812*n. 2*n*(n + 52030)/5 Factor -3*o**3 - 94653*o**2 - 746551872*o + 746646528. -3*(o - 1)*(o + 15776)**2 Factor 2*a**2 + 97620*a + 97618. 2*(a + 1)*(a + 48809) Let -4*v**3/5 - 235924*v**2 = 0. Calculate v. -294905, 0 Solve 15*g**3 - 277416*g**2 + 388359*g - 110958 = 0. 2/5, 1, 18493 Find u such that 4*u**2/7 + 41892*u/7 - 125712/7 = 0. -10476, 3 Let 49*p**3/4 + 2821*p**2 - 186395*p/4 + 372075/2 = 0. What is p? -246, 55/7 Determine w, given that -2*w**3/19 + 72664*w**2/19 + 145334*w/19 + 72668/19 = 0. -1, 36334 Factor 22*q**2/9 - 1049*q/9 - 112/3. (q - 48)*(22*q + 7)/9 Factor c**2 - 648*c + 8255. (c - 635)*(c - 13) Solve -6*a**4 - 153*a**3/4 + 441*a**2/4 + 471*a/2 - 180 = 0. -8, -2, 5/8, 3 Factor 4*v**3/5 - 537064*v**2/5 - 214828*v - 537072/5. 4*(v - 134268)*(v + 1)**2/5 Factor 5*k**3 - 2875*k**2 + 414715*k - 411845. 5*(k - 287)**2*(k - 1) Find u such that 5*u**5 - 585*u**4 + 15135*u**3 - 105655*u**2 - 121380*u = 0. -1, 0, 17, 84 Determine c, given that -3*c**2/5 - 65766*c/5 - 1379763/5 = 0. -21901, -21 Factor s**2/4 - 579317*s/2 + 335608186489/4. (s - 579317)**2/4 What is w in 2*w**2/9 - 1118*w/9 - 64124/3 = 0? -138, 697 Determine j so that j**3 - 762*j**2 - 9256*j - 24768 = 0. -8, -4, 774 Factor -3*s**4 - 135756*s**3 - 2047607730*s**2 - 10291958172300*s + 30894306652125. -3*(s - 3)*(s + 15085)**3 Let 7*n**3 + 5*n**2 - 394*n + 112 = 0. What is n? -8, 2/7, 7 Factor -d**3/3 - 4042*d**2/3 + 130112*d/3 - 347648. -(d - 16)**2*(d + 4074)/3 Determine b, given that 3*b**2/8 + 707151*b/2 + 166687512267/2 = 0. -471434 Factor d**2/4 - 943*d/4 + 24003/2. (d - 889)*(d - 54)/4 Factor 6*u**2/7 - 53758*u/7 + 35836/7. 2*(u - 8959)*(3*u - 2)/7 Factor k**3 - 5472*k**2 + 5469*k + 10942. (k - 5471)*(k - 2)*(k + 1) Suppose -5*z**4 - 25*z**3 + 80*z**2 + 340*z + 240 = 0. What is z? -6, -2, -1, 4 Solve m**2/3 + 1131*m - 3396 = 0. -3396, 3 Suppose -292*z**3 + 46128*z**2 - 1148340*z - 31496 = 0. What is z? -2/73, 31, 127 Factor 2*j**3 - 7944*j**2 - 7950*j + 15892. 2*(j - 3973)*(j - 1)*(j + 2) Find l such that -80645*l**3 + 19591655*l**2 + 1234360*l + 19440 = 0. -4/127, 243 Let -2*p**2/3 + 934*p/3 + 61700 = 0. What is p? -150, 617 Factor 3*s**2 - 1314*s - 20385. 3*(s - 453)*(s + 15) Find g, given that g**5/4 + 33*g**4/4 + 115*g**3/4 - 1185*g**2/4 + 556*g - 297 = 0. -27, -11, 1, 2 Factor -2*u**2/9 - 4604*u/9 - 9200/9. -2*(u + 2)*(u + 2300)/9 Determine y, given that -3*y**2/7 + 1526106*y/7 - 194083293603/7 = 0. 254351 Solve -k**3/3 - 182*k**2 - 71285*k/3 + 23944 = 0 for k. -328, -219, 1 Factor -2*o**4/7 + 908*o**3/7 - 54098*o**2/7 - 11113920*o/7 - 299635200/7. -2*(o - 272)**2*(o + 45)**2/7 Factor -77*b**4 - 309*b**3 - 235*b**2 - 3*b. -b*(b + 1)*(b + 3)*(77*b + 1) Factor 14*n**3 - 9838*n**2 + 16816*n + 5608. 2*(n - 701)*(n - 2)*(7*n + 2) Factor 104*k**2 + 5225*k + 1250. (k + 50)*(104*k + 25) Determine f so that -2*f**2 + 6420*f - 114912 = 0. 18, 3192 Find g such that -2*g**3/7 - 8156*g**2/7 - 8150*g/7 + 16308/7 = 0. -4077, -2, 1 Factor -m**4 + 52496*m**3 - 689114974*m**2 + 4133272560*m - 6199200225. -(m - 26245)**2*(m - 3)**2 Solve -v**5/3 - 367*v**4/3 - 39851*v**3/3 - 1145885*v**2/3 - 3916000*v - 11616000 = 0 for v. -165, -16, -5 Suppose -i**5 + 232*i**4 + 705*i**3 + 4*i**2 - 940*i = 0. What is i? -2, 0, 1, 235 Let -k**4 + 331*k**3 + 5127*k**2 + 21749*k + 16954 = 0. What is k? -7, -1, 346 Let 3*u**5 - 18*u**4 - 123*u**3 + 18*u**2 + 120*u = 0. What is u? -4, -1, 0, 1, 10 Let o**5/3 - 104*o**4/3 - 1655*o**3/3 + 310*o**2/3 + 5164*o/3 + 3304/3 = 0. What is o? -14, -1, 2, 118 What is v in 2*v**5 + 594*v**4/5 + 2956*v**3/5 + 2088*v**2/5 - 784*v - 1728/5 = 0? -54, -4, -2, -2/5, 1 Suppose 75*y**5/8 - 2235*y**4/8 + 3813*y**3/2 - 2787*y**2/2 + 270*y = 0. Calculate y. 0, 2/5, 9, 20 Suppose -243*o**4/5 - 35289*o**3/5 + 27399*o**2 + 31749*o/5 + 1788/5 = 0. What is o? -149, -1/9, 4 Factor -3*o**3 + 47196*o**2 + 94404*o. -3*o*(o - 15734)*(o + 2) Factor 4*j**2 - 20080*j - 100500. 4*(j - 5025)*(j + 5) Solve 2*n**4/11 - 524*n**3/11 + 14382*n**2/11 - 1260*n = 0. 0, 1, 30, 231 Find f, given that -2*f**2/13 - 45298*f/13 - 45296/13 = 0. -22648, -1 Find o such that -o**5/3 + 254*o**4/3 - 1000*o**3/3 = 0. 0, 4, 250 Factor i**3/4 - 43*i**2/4 + 155*i/2 + 336. (i - 32)*(i - 14)*(i + 3)/4 Determine m, given that -2*m**3 + 216*m**2 + 896*m = 0. -4, 0, 112 Determine h, given that -h**2 - 3725*h + 11184 = 0. -3728, 3 Find x, given that -4*x**5 - 44868*x**4 + 494084*x**3 + 583812*x**2 - 494080*x - 538944 = 0. -11228, -1, 1, 12 Suppose -2*v**2/7 - 470*v/7 + 700 = 0. Calculate v. -245, 10 Factor 5*q**3 + 12960*q**2 + 4342800*q + 391611520. 5*(q + 188)**2*(q + 2216) Suppose -2*k**2 - 13920*k + 69650 = 0. What is k? -6965, 5 Factor g**2/5 - 5344*g/5 + 7139584/5. (g - 2672)**2/5 Suppose 3*t**4/5 + 294*t**3/5 - 37119*t**2/5 - 190986*t/5 - 231192/5 = 0. Calculate t. -169, -3, -2, 76 Let -5*h**5 + 142670*h**4 - 285305*h**3 - 428000*h**2 + 570620*h + 570640 = 0. What is h? -1, 2, 28532 Determine o, given that 3*o**4 + 19467*o**3 + 407481*o**2 - 19467*o - 407484 = 0. -6468, -21, -1, 1 Find a, given that 3*a**4 - 486*a**3 + 5859*a**2 - 6576*a - 85824 = 0. -3, 8, 149 Suppose y**2/3 - 4322*y/3 - 1441 = 0. What is y? -1, 4323 Solve 21*x**2/4 + 255849*x/4 + 36549/2 = 0 for x. -12183, -2/7 Let -735*q**4 - 140889*q**3 + 186201*q**2 - 45735*q + 1158 = 0. What is q? -193, 1/35, 2/7, 1 Factor 5*h**3 + 10475*h**2 - 20965*h + 10485. 5*(h - 1)**2*(h + 2097) Factor -j**3 - 4569*j**2 - 5239440*j - 46785600. -(j + 9)*(j + 2280)**2 Factor -2*z**2/17 - 2504*z/17 + 270400/17. -2*(z - 100)*(z + 1352)/17 Let -5*c**3 + 9110*c**2 - 4140480*c - 8317440 = 0. Calculate c. -2, 912 Let m**2/4 + 1007*m/4 - 5085/2 = 0. What is m? -1017, 10 Factor 3*g**2 - 112011*g - 112014. 3*(g - 37338)*(g + 1) Let -4*v**2 + 3996*v = 0. Calculate v. 0, 999 Solve -49*l**5 - 1001*l**4 + 177033*l**3 + 76517*l**2 - 86984*l + 14484 = 0. -71, -1, 2/7, 51 Determi
{ "pile_set_name": "DM Mathematics" }
222.1 What is -0.4 minus 344.62? -345.02 -3.6 + 0.43 -3.17 Calculate -31.07501 - -4. -27.07501 What is 1.5 - 15563? -15561.5 Subtract -0.1567325 from -0.4. -0.2432675 Sum -0.3 and 0.1443672. -0.1556328 Total of 0.19 and -0.075. 0.115 Total of 0.0529 and -0.29. -0.2371 What is the distance between -0.491 and 3? 3.491 Sum 0.8 and -1.19. -0.39 5 - -1371 1376 What is the difference between -1 and 5.778? 6.778 What is -1 less than 1562.14? 1563.14 Total of 386626 and -0.1. 386625.9 9674+-0.8 9673.2 What is -3.5 + 14.8? 11.3 What is 2968853 take away 0.4? 2968852.6 Work out 23 + -375. -352 Calculate 3 - 6200.6. -6197.6 Subtract -15 from 80576. 80591 What is 0.2 + 75.947? 76.147 Sum 98 and 40072. 40170 Put together -209 and 0.6. -208.4 What is 1826 + -0.5? 1825.5 Subtract -0.15 from -139098. -139097.85 Work out -108113 + -0.2. -108113.2 What is -362 take away -13? -349 0.13 + -124 -123.87 Add together 2461 and -1. 2460 Add together -5.3 and -22. -27.3 What is -0.358 + 0.3316? -0.0264 Add together 22479 and -5. 22474 What is -25660 take away 2? -25662 Put together -3 and 0.965062. -2.034938 What is -24 - 1851? -1875 What is 1135 less than -0.3? -1135.3 Sum -0.2008 and -4. -4.2008 What is -2 + 94.7? 92.7 What is 5 plus -6.087? -1.087 Add together -24.9 and 6. -18.9 Add together -1.5 and 0.06436. -1.43564 What is -20 take away 16.89? -36.89 0.41+0.159 0.569 Add together -0.2 and 0.1331. -0.0669 Sum -6445825 and 0.5. -6445824.5 Subtract 47812.7 from -0.05. -47812.75 What is 7912 take away -4? 7916 What is the distance between -62 and -0.2? 61.8 Add together 1075 and -349. 726 -0.41287 - -0.06 -0.35287 0.8 + -2698 -2697.2 What is -2 plus -22.91? -24.91 Add together -1 and -1.99. -2.99 What is the distance between 0.5 and 1335.3? 1334.8 Work out -190.4 + -0.139. -190.539 What is -18.4 less than -7148? -7129.6 What is -216 - 0.544? -216.544 Put together 106.827 and -0.4. 106.427 Total of -86 and 597.04. 511.04 What is 0.08 less than 0.1616? 0.0816 -1531+-3 -1534 Calculate -42 + -1443. -1485 What is the difference between 1826.7 and -0.6? 1827.3 Subtract -201 from 5383. 5584 What is 0.403 + -0.10211? 0.30089 What is the distance between -8841 and 0.6? 8841.6 What is the distance between -35 and -0.47? 34.53 What is -0.885 less than 32? 32.885 Work out -953.9 + 3.2. -950.7 -0.92 + 2 1.08 Calculate 0.0175 - 4191. -4190.9825 What is 3 less than 8783? 8780 Work out -1.161 - 0.1678. -1.3288 What is -32 less than -0.052107? 31.947893 Calculate -1.96 + 0.12. -1.84 What is 0.4 plus 1786? 1786.4 14.22 - -3 17.22 -36.4 - -5 -31.4 Calculate 0.8 + -0.22569. 0.57431 Add together 0.077 and -12.9. -12.823 Subtract 49018 from -0.9. -49018.9 What is 64 less than 0.15? -63.85 What is the difference between -0.2 and -105809? 105808.8 -0.03 - 64.2 -64.23 267+-18.498 248.502 Add -6069.6 and -0.2. -6069.8 What is -11.9 minus -428? 416.1 2.9+1581 1583.9 What is the difference between 3.06 and 1.233? 1.827 Sum 251330 and -0.12. 251329.88 What is the distance between 0.3 and -366.6? 366.9 Total of -0.08 and -0.06. -0.14 0.94+-42 -41.06 What is 25 minus -0.12? 25.12 What is 0.068 + 0.75? 0.818 Put together -0.3 and -19245. -19245.3 Work out -610 - 11.6. -621.6 Calculate -1.16 - -0.99. -0.17 What is 4489 plus 6? 4495 What is 0.37 minus 2.36? -1.99 -412+130 -282 Work out 41 + 5643. 5684 Work out 1.46 - -22. 23.46 What is 4891.5 less than -0.3? -4891.8 Total of 146 and -9.217. 136.783 What is 20120 plus -5? 20115 Work out -407.3 - -49. -358.3 1644 - 3145 -1501 Subtract 0.432 from 0.3. -0.132 Total of -1356769 and 5. -1356764 Total of -1 and -8. -9 Subtract 0.054 from -38. -38.054 Work out -0.0669 - 0.045. -0.1119 Subtract 3 from -1110700. -1110703 Add together 380 and -79. 301 What is -0.04 take away 0.07173? -0.11173 Work out 0.4 + 3.443. 3.843 What is 0.164744 - -2? 2.164744 Work out -11.71 - 0.1. -11.81 Sum 14 and -36010.5. -35996.5 What is 1.07 less than -1477? -1478.07 Work out -178 - 6. -184 What is 1 plus 2174.4? 2175.4 Add together 4 and 223157. 223161 -3252+-0.18 -3252.18 What is 0.05474 take away -7.92? 7.97474 What is the distance between 25.25 and 2.7? 22.55 What is -463 take away 93? -556 9+0.0904 9.0904 Add -0.41127 and 4. 3.58873 What is 9.5 less than -17? -26.5 What is -3.563 + -1.5? -5.063 Calculate -1508 - 4186. -5694 What is -6.3 minus 137? -143.3 -2429 + -10.4 -2439.4 -5+-2.35 -7.35 What is 1991.7 + -375? 1616.7 What is -1.8 - -4796? 4794.2 Work out -0.15 + -41. -41.15 Work out -3 + 2.8287. -0.1713 Add -0.021614 and -5. -5.021614 1.036 + 5 6.036 What is 0.3 less than -0.1649644? -0.4649644 Subtract 531 from -87.6. -618.6 Add -27 and 47. 20 What is 0.34 plus 13122? 13122.34 What is the difference between -3 and 0.3294218? 3.3294218 What is the distance between -9 and 2336? 2345 What is 5 less than 68.2? 63.2 Subtract 7021 from 0.08. -7020.92 Work out 24 + 310. 334 Put together 1069 and 1060. 2129 What is -0.5 plus 0.2145352? -0.2854648 Total of 0.0057 and -1914. -1913.9943 What is -11657 take away 1? -11658 What is 5471 take away 0.4? 5470.6 -0.004 + 4734 4733.996 Calculate 0.03062 - 4. -3.96938 Add 15 and 13138. 13153 Sum -1.4 and -48354. -48355.4 Put together 18 and 40.02. 58.02 What is -7.62 + -0.1? -7.72 What is 0.9 - 111659? -111658.1 What is 0.24857 + 5? 5.24857 Work out -0.5 - 35226. -35226.5 Work out 3 - -5752. 5755 What is -0.0003 plus 191? 190.9997 What is the difference between 41.2 and -0.042? 41.242 -2+0.9863 -1.0137 What is -0.5 plus 8488? 8487.5 0.3 - -423678 423678.3 What is the distance between -0.2 and 0.0183? 0.2183 Add 12 and 534. 546 Work out -446.059 + 0.1. -445.959 Work out 0.68 + -54. -53.32 Calculate -117 - 0.05. -117.05 Calculate -0.04 + 57877. 57876.96 What is 2079 - 0.2? 2078.8 Sum 0.4 and -0.361. 0.039 What is -7.581 less than 0.4? 7.981 Sum 127062 and -9. 127053 What is 22.3 take away 1884? -1861.7 Work out -763907 + 3. -763904 Total of -27.344 and 0.52. -26.824 Work out 0.3 + -193. -192.7 What is -28.2361 + -2? -30.2361 What is the difference between -3489 and 0.3? 3489.3 6 + 14.59 20.59 What is 0.01 take away -3515? 3515.01 -2 + 8260 8258 What is -2519364 plus -0.1? -2519364.1 Add 3.26 and -7046. -7042.74 What is the difference between -0.192 and 2.9? 3.092 Work out 0.044 - 8.0509. -8.0069 Work out 0.64 + -0.427. 0.213 Put together -151.6406 and 0.5. -151.1406 Add 0.1 and -223.6. -223.5 Total of 5 and 0.2935071. 5.2935071 Calculate -24700 + 0.3. -24699.7 Calculate 49 - -1.09078. 50.09078 84.8+-2.362 82.438 What is 2 minus 866726? -866724 -56+-0.49 -56.49 50702 + 0.18 50702.18 Work out -109.879 - 0.04. -109.919 Total of -0.0036 and -0.0685. -0.0721 What is -1 less than -138776? -138775 What is the difference between -0.21 and -0.64? 0.43 What is -8 less than -883157? -883149 1903+-83 1820 0.247 - 3.41 -3.163 What is -3281 - 0.1? -3281.1 1794 - 0.2 1793.8 What is -0.5 minus 6.2377? -6.7377 7356 + 3 7359 Calculate -21.6 - -17.21. -4.39 Put together -15936 and -0.4. -15936.4 What is 0.5 take away 5.53598? -5.03598 What is 0.2 plus 12.99546? 13.19546 What is the distance between -0.131182 and -3? 2.868818 What is 676478 minus 0.4? 676477.6 -1573 + -0.2 -1573.2 Total of 29 and 5.5612. 34.5612 What is 0.5 take away 40.6? -40.1 Add together -7.666 and 2. -5.666 Calculate 87.7 - 0.094. 87.606 What is 2.99 less than -1? -3.99 What is -0.38764 + 6? 5.61236 Work out 2 - -641. 643 Calculate 10386 - 0.1. 10385.9 What is 728.3 take away -9? 737.3 What is 0.3 less than -0.01375? -0.31375 Work out -0.057 - -12. 11.943 What is -4 plus -4.6? -8.6 2.6 + -232545 -232542.4 -0.59+-0.12904 -0.71904 Calculate 146.9 + -0.2. 146.7 8586483+2 8586485 Add together -3 and 4.8424. 1.8424 Calculate 5 - 3921. -3916 What is 133803 minus 3? 133800 Calculate 110 - 22.297. 87.703 Sum 1960 and -1. 1959 -0.4 + -1.121551 -1.521551 What is 0.3 take away -4.23776? 4.53776 Sum -0.5 and 5543. 5542.5 Calculate 0.7343 - -0.017. 0.7513 Sum -0.5 and -20986. -20986.5 Subtract -1831.9 from -150. 1681.9 What is 15 + -0.0487? 14.9513 Sum 375757 and 0.09. 375757.09 What is 0.8 minus 10629? -10628.2 Subtract -0.1 from -48.75. -48.65 What is 16 + -0.089? 15.911 -22.44 + -4 -26.44 What is -140355 minus 1? -140356 What is -3 - 95.3? -98.3 What is -0.134 take away -1.3? 1.166 What is 0.6 p
{ "pile_set_name": "DM Mathematics" }
w(n) = -20*n. Let p(v) = 7*v. Let y(j) = 14*p(j) + 5*w(j). Let k be y(-7). What is the greatest common factor of k and 35? 7 Let p(z) = -2*z**3 - 2450*z**2 + 2468*z**2 + 4*z**3 + 2*z - 3*z. Suppose -4*b - 9 = -3*b. Let w be p(b). Calculate the greatest common factor of w and 45. 9 Suppose -4*y - 17 + 54 = -5*w, -y - 2*w = 7. Suppose 5*q - 6*q + y = 0. Suppose q*k = -9 + 39. Calculate the highest common factor of 100 and k. 10 Let s = 1433 + -1013. Calculate the highest common divisor of s and 180. 60 Suppose -4*n - 3*j + 105 = 0, 5*j - 8*j + 75 = 3*n. Calculate the highest common factor of 1770 and n. 30 Let f(z) = -z - 1. Let r(d) = -3*d**2 - 18*d - 12. Let t(g) = 12*f(g) - r(g). Let v be t(-4). Calculate the greatest common factor of 120 and v. 24 Let f be ((-1)/(-12)*4)/(1/(-87)). Let v = f + 42. Calculate the highest common divisor of 117 and v. 13 Let l = 19 + -9. Suppose 0 = 6*a - l*a + 408. Suppose -2*y + a = -24. What is the greatest common factor of y and 21? 21 Suppose -302*k + 297*k = -1370. Calculate the highest common factor of 2 and k. 2 Let t = -3 + 8. Let v be 5 + -2*2/(-4). Let h be 9 + (-2 - -1)*(-6)/v. What is the greatest common factor of t and h? 5 Let t = 411 - 290. Let s = -64 + t. What is the highest common factor of 57 and s? 57 Let v(q) = 8 + 18*q**3 - 19*q**2 + 9*q**2 - 17*q**3 + 2*q. Let p be v(10). Let o be 5*14 - (0 - 0). Calculate the highest common divisor of o and p. 14 Suppose 102 = -4*d - 2*d. Let y = 21 + d. Calculate the greatest common factor of y and 36. 4 Let r(c) = 2*c**2 - c - 2. Let d be r(2). Let f = d - -38. What is the highest common divisor of 14 and f? 14 Suppose 10 = 3*s + 4. Suppose 3*n - 2*k - k + 18 = 0, -3*k = -n - 14. Let g be n*(-3 + 2 + -1). What is the highest common divisor of s and g? 2 Suppose 22 + 2 = 4*p. Suppose -p*v = -35 - 109. Calculate the greatest common divisor of 120 and v. 24 Let k(y) = -41*y - 2. Let u be k(-2). Let l be 63/14 + 322/28. Calculate the highest common factor of l and u. 16 Suppose 6*b - 5*b = 1425. What is the greatest common factor of 225 and b? 75 Let d be (((-16)/3)/2)/((-14)/21). Calculate the greatest common divisor of 356 and d. 4 Suppose -5*a + 665 + 645 = 0. Let c be (-18)/(-27) - a/(-3). Calculate the greatest common divisor of 8 and c. 8 Let a be (-312)/16*(-4 + 2). Let q = 73 - a. Suppose 3*i - 422 = -2*i + c, 3*i - 258 = -c. What is the greatest common factor of i and q? 17 Let t be -1 + 5 - ((-9 - 2) + -777). What is the highest common divisor of t and 66? 66 Let i be -6*(52/(-8))/1. Let t(o) = 4*o**2 - 3*o + 3. Suppose 0 = -5*q + 8 + 2. Let r be t(q). What is the highest common divisor of r and i? 13 Let n(v) = -2*v + 50. Let w be n(-5). What is the highest common factor of w and 8? 4 Suppose 16 = 4*q + 4. Suppose 0 = 2*x - 10, -q*t - x = -15 + 1. Suppose -t*j = -8 - 13. Calculate the highest common factor of 56 and j. 7 Let q = 15 + 12. Let c be 14*-1*(97 - 0). Let r be 24/(-30) + c/(-10). Calculate the greatest common divisor of r and q. 27 Let l(z) = z**3 + 4*z**2 - 2*z + 3. Let q be l(-4). Let h = -402 + 413. Calculate the highest common divisor of q and h. 11 Suppose 0 = 2*h + 4*o - 196, 2*h - 197 = -4*o + o. Calculate the greatest common divisor of 60 and h. 20 Let u = -12 - -9. Let q be (-1)/((u/(-8))/((-255)/20)). Suppose w + 67 = 2*d, -4*w = 4*d - 7*w - 133. Calculate the greatest common factor of q and d. 34 Let r(q) = q**3 + 2*q**2 + 3*q - 4. Let a be r(3). Let c = -463 + 863. What is the highest common factor of c and a? 50 Suppose 6*p + 5*z = 3*p + 34, z = p - 22. What is the greatest common factor of p and 198? 18 Let j be 13*(3 - 2) + 2. Let b = -15 + j. Let k be (-2 - -1)*b + 12. What is the highest common divisor of 30 and k? 6 Let r = -127 + 208. Let l = -31 - -33. Suppose -2*n + 4*k = 3*n - 155, 0 = l*n + 4*k - 34. What is the greatest common factor of n and r? 27 Suppose -4*s - 4*j + 57 = 1, 0 = 2*j - 4. Suppose 3*k + 150 = 8*k. Calculate the highest common divisor of s and k. 6 Let v be -3*(-74)/10 + (-117)/585. Calculate the greatest common divisor of v and 814. 22 Let f(z) = z + 2. Let w be f(7). Suppose -5*u + 4*u = -4. Let a(m) = 4*m**2 + 4*m + 1. Let k be a(u). What is the highest common factor of w and k? 9 Suppose y = z - 18, 53*z - 56*z + 4*y = -51. Let c be 189 - (2 + 0 - 2). What is the highest common factor of c and z? 21 Let x = -170 + 324. What is the greatest common factor of 88 and x? 22 Suppose -2*t - 840 = -17*t. Calculate the highest common factor of 70 and t. 14 Suppose 5*b - i - 885 + 50 = 0, -3*b - 4*i = -524. What is the greatest common factor of 24 and b? 24 Suppose 63*k - 73*k = 0. Let t be 74*1 - (-3 + 5). Suppose k = -4*s - 3*v + t, 5*s + 64 = 5*v + 189. Calculate the greatest common divisor of 7 and s. 7 Suppose -4*n - 20 = 0, -26 = -4*s - n - 11. Suppose c = -x + 6, 2*c - s*x + 5 = 52. Suppose -a - 30 = -41. Calculate the highest common divisor of a and c. 11 Let w be ((1 - 1) + -13)/((-8)/96). Let p = w - 152. What is the highest common factor of 44 and p? 4 Suppose -150 = -30*l + 25*l. Suppose -2*w - 3*w = -120. Suppose 6*c - 2*c = w. Calculate the highest common factor of l and c. 6 Suppose 0*k - 5*k + 5*v = 30, -v + 4 = 0. Let c(u) = 8*u + 5. Let d be c(k). Let m = d - -17. Calculate the highest common factor of m and 3. 3 Suppose 8 = 7*k - 27. What is the greatest common divisor of 10 and k? 5 Suppose 22*i + 2112 = 28*i. What is the greatest common factor of 11 and i? 11 Let c(a) = 186*a + 435. Let z be c(5). What is the greatest common divisor of 14 and z? 7 Suppose 5*n - 21 - 34 = 0. Let i(c) = -9*c + 28. Let g be i(-3). Calculate the highest common divisor of n and g. 11 Let u = 30 - -67. Let a = u + -61. Calculate the highest common divisor of a and 4. 4 Let a = -473 + 549. Calculate the greatest common divisor of a and 57. 19 Let n(d) = -d**2 + 6*d + 15. Let v be n(7). Let b(i) = -i + 1. Let x be b(-1). Suppose -c - 64 = -x*c. What is the highest common factor of v and c? 8 Let b(f) = 45*f + 206. Let k be b(36). Calculate the greatest common divisor of 11 and k. 11 Let r be (-32 - 5)*1*2. Let x = -2 - r. What is the greatest common divisor of x and 180? 36 Let r be (-1 - 7) + 11 - -5. What is the greatest common factor of r and 56? 8 Let c = 22 - 15. Suppose -c*y + 2*y + 22 = -s, -3*s + 34 = 5*y. Suppose 5*z = 5*i + 205, -45 - 40 = -2*z + 5*i. What is the greatest common divisor of z and y? 5 Let i = -26 + 116. Suppose 4*u = -3*o + 38, 8 = o + 4*u + 6. What is the highest common divisor of o and i? 18 Let a(c) = -c**3 - c**2 - 19. Let m be a(0). Let v = 171 - m. Calculate the greatest common factor of v and 10. 10 Let d(w) = w**3 + 17*w**2 + 31*w - 9. Let z be d(-9). Calculate the highest common divisor of 150 and z. 30 Let b(k) = k**3 - 3*k**2 + 3*k. Let g be b(4). Suppose w + w = g. Let u = -7 + w. What is the highest common divisor of 63 and u? 7 Suppose 2*x - 15 = -x. Let h = 24 + -20. Let l be 45*(h + (-1 - 2)). Calculate the highest common factor of l and x. 5 Let b be -11 + (-3 + -3 - -28). What is the highest common factor of b and 1375? 11 Let a(k) be the second derivative of k**3/6 + 13*k**2/2 - 5*k. Let g be a(-8). Suppose 130 = g*v - 95. Calculate the highest common divisor of 5 and v. 5 Let b = 1362 + -1289. What is the greatest common divisor of 949 and b? 73 Let m = 15 - 7. Suppose -u - 130 = -4*v + 222, -5*u - 88 = -v. Calculate the highest common divisor of m and v. 8 Let n = -1 - 1. Let z be (-88)/(n/1) + 22 + -22. Calculate the highest common factor of 4 and z. 4 Let y(r) = -r - 8. Suppose 0 = -2*p - m + 77, -p - 2*m + m + 36 = 0. Let s = 26 - p. Let q be y(s). What is the greatest common divisor of 1 and q? 1 Suppose -3*y = 2*y + 4*d + 43, -2*y + d = 12. Suppose 5*n - h = 13, -n + 4*h = -13 - 1. Let a = n - y. Calculate the greatest common factor of a and 9. 9 Let y(h) = 9*h + 63. Let t be y(13). Calculate the greatest common divisor of 40 and t. 20 Let q = -674 + 859. Calculate the greatest common divisor of 20 and q. 5 Let o(v) = -6*v - 2. Let n be o(-2). Let d(p) = 44*p. Let k be d(-3). Let w = k + 222. Calculate the greatest common factor of w and n. 10 Suppose -2*z + 6*z = 0. Let h be 18 + z + 0 + -3. Suppose 0*c = 3*c - 3*d - h, 0 = c + d - 11. What is the
{ "pile_set_name": "DM Mathematics" }
Let p = 4972 + -4973. Let s = -175 + 878/5. Which is the smallest value? (a) p (b) 1/2 (c) s a Let o = -1082 + 1055. Which is the second smallest value? (a) -0.2 (b) -2 (c) -1/3 (d) o b Let g = 17.2 + -17. Let v = 1.724 - 1.71. Which is the third smallest value? (a) v (b) g (c) -2 b Let f = -695 + 695. Which is the second biggest value? (a) -0.4 (b) f (c) -168 (d) 1/6 b Let q = 23 + -34. Let y = q - -26. Let k = y - 11. What is the smallest value in 0, -3, k? -3 Let j = 1.699 - 1.8. Let l = 2.899 - j. What is the biggest value in l, -2, 0.5? l Let f be 3908/(-2064) + (-9)/(-36). Let j = -9332/43 + 217. Let n = j + f. What is the third biggest value in 2/5, n, 0.1? n Let x = 23 + -22.7. Let g = -1.3 - -1.3. What is the biggest value in 1.6, x, g? 1.6 Let q(h) = 11*h - 37. Let z be q(3). What is the third biggest value in z, 0.1, -0.08? z Let a be (2*1/8)/((-140)/(-112)). What is the second smallest value in a, -0.13, 2, -0.4? -0.13 Let z = -68 - -74. Suppose r - f = f - z, 0 = -2*r - 5*f - 39. Which is the third biggest value? (a) r (b) -1/2 (c) -1/10 a Let l = 62 + -93. Let x = 31.7 + l. Which is the third smallest value? (a) -0.4 (b) 3 (c) x (d) -0.3 c Let b = 35 - -34. Let k = 69.14 - b. What is the second smallest value in k, -2/5, 1/6? k Let l be 12/96 - (-27)/(-24). What is the fourth biggest value in -0.9, l, 0.6, -2? -2 Suppose -v - 18 = 5*z, -2*z + v = 2*v + 6. Which is the smallest value? (a) 14/3 (b) -2/7 (c) z c Let h be (-1 - (-4 - -3)) + 10. Let u = 4 - h. Let k = 4.6 + -5. Which is the third biggest value? (a) k (b) u (c) 2/17 b Let c = -1762 + 1767. What is the third smallest value in -0.2, -1/15, c? c Let z = 43.991 + -44. Let u = 5.009 + z. Let p = 32/45 + -10/9. What is the second smallest value in u, p, 3/4? 3/4 Let y = -16 - -18. Let n = -25.057 + 0.057. Let j = n - -35. What is the biggest value in 1/3, y, j? j Let x = -54 - -78. Suppose q = 2*o + 3*o + 10, 3*o + x = -3*q. Let j = 2.8 + -3. What is the second smallest value in o, j, 2/9? j Let k be (1/(-4))/(-11 + (-2506)/(-224)). What is the fourth smallest value in 5, -0.5, 1, k? 5 Let c = -93 - -98. Suppose -2*z + c*p = 0, -6 = -7*p + 10*p. Let r be (-16)/18*(-2)/(-4). What is the second smallest value in 1/6, r, z? r Let k = 2518 - 2518. What is the fourth biggest value in -1, 1/2, k, -8? -8 Let o = 43/6 - 7. Let g = 2024 - 2027. Which is the third biggest value? (a) g (b) -2/9 (c) o a Let j = 2 - 8.5. Let l = j + 6.3. What is the second smallest value in -0.5, 3, l, -4? -0.5 Let n = -0.62 + -64.38. Let w = n - -62. Which is the second biggest value? (a) 3 (b) 2/3 (c) w b Let u be (-1)/(-6)*(-12)/(-9). Suppose -4*l = 8, l + 2 = 5*t - 15. What is the smallest value in t, -3, u? -3 Let t be (-1)/2 + (-115)/(-10) + -7. Suppose 2*h + 2*r = 3*r - 2, 5*h = t*r + 1. Which is the third smallest value? (a) -4 (b) h (c) -1/8 (d) 0.4 c Let h = 8/3 + 2/3. What is the third smallest value in h, -0.1, -2, 0.4? 0.4 Let s = 0.01 + -3.01. Let g = -2.8 - s. Let v be ((-42)/84)/((-2)/(-12) - -1). Which is the second smallest value? (a) g (b) v (c) 0.5 a Let k = 3/4 + -1/2. Which is the biggest value? (a) -3 (b) -4 (c) 0.2 (d) k d Let r = -237.5 - -238. Which is the third smallest value? (a) 1/4 (b) -5 (c) r (d) 0.2 a Let s = 90.11 - 90.1. Which is the third smallest value? (a) s (b) 2/11 (c) -3 (d) 1/5 b Let h = -1343/507 + -3/169. What is the second smallest value in h, -2/7, -0.3? -0.3 Let w(p) = p + 23. Let l be w(-11). Let x be (0 + 3)/1 + (-40)/l. Which is the smallest value? (a) x (b) 0.3 (c) 2 a Let o be (-2)/(-9)*6/14. Let k = -12.7 - 4.3. Let z = 22 + k. What is the third biggest value in o, z, -2? -2 Let z = 51.3 + -35.3. What is the smallest value in 7, -1/7, z, 1? -1/7 Let m(u) = -u - 3. Let x be m(-5). Suppose -78*q - 8 = -320. Let b = 2 - -1. What is the second biggest value in q, x, b? b Let w be (1 - -5)*(4 - 10/15). Suppose 3*p + p - w = 0, -i - 4*p + 23 = 0. Which is the third biggest value? (a) -0.08 (b) 4 (c) i a Suppose -i + 4*p - 7 - 6 = 0, -4*i - p = 1. What is the third smallest value in 22/3, -3, i? 22/3 Let q be 2/(-1) + (-121)/77. Let g = -139/35 - q. Which is the biggest value? (a) 7 (b) 1/4 (c) g a Let l be (-21)/6 + (-3 - (-36)/8). Which is the second smallest value? (a) l (b) -12 (c) 2 a Let h = 468 - 469. Which is the second biggest value? (a) h (b) 0.3 (c) -2/5 (d) 130 b Let s = -163 + 811/5. Let v = -13.4 - -14. Let l = v - -0.4. What is the smallest value in s, l, -4/7? s Let v = 4.7 + -3.6. Let k be (33/9 + -4)*1. What is the biggest value in v, k, 2? 2 Let v = -440 - -444. Which is the third smallest value? (a) v (b) -0.4 (c) 0.18 (d) 1 d Let i = 18 + -17.99. Let n = i + -5.01. What is the second smallest value in 3, n, 1? 1 Let n = 1.4 - 2.3. Let t = n + 0.8. Let h = 0.2 + t. Which is the second biggest value? (a) 1/6 (b) h (c) 1 a Suppose -60 = 34*k - 19*k. Let p be 6*3/(-30) + 1. What is the biggest value in 2, 3, p, k? 3 Let o = -5.09 - -0.09. Let c = -0.12 + 4.62. Let j = c - -0.5. What is the second smallest value in j, -7, o? o Let j = 2105.9 - 2103. Which is the biggest value? (a) 3 (b) j (c) -2/15 a Let k = 216 + -219. What is the smallest value in -0.01, -1/8, k? k Let s be (-4)/28*(-77)/(-110). What is the third biggest value in -4/5, -1, s, 1? -4/5 Let a = -0.4 - 0.1. Let b = -0.1 + -0.9. Let z = b - -1.2. What is the biggest value in a, 2/7, z? 2/7 Let n = -0.76 + 0.79. Let l = 0.26 - -0.04. Which is the smallest value? (a) 1/5 (b) l (c) n c Suppose -6*m = -4 - 8. Suppose 2*j - m*z = -5*z + 10, -2 = -4*j + 3*z. Which is the third smallest value? (a) j (b) 0.2 (c) 1 a Let y = -5.3 + 6. Let q = 779 + -774. Let f = -525 - -3681/7. What is the biggest value in f, y, q? q Let z = 838.2 + -838. Let i be 2/6 - (-15)/(-99). Which is the second smallest value? (a) 5 (b) z (c) i (d) -1/3 c Let k = 1621 - 1621.04. Let s = -2.3 - -0.3. Which is the fourth smallest value? (a) -1 (b) k (c) s (d) 1/2 d Let j = 341 - 293. Which is the smallest value? (a) 1 (b) 5 (c) j a Let k = -1 - -0.8. Let j = -0.7 - k. Let h(g) = g**3 + 31*g**2 + 107*g - 23. Let r be h(-27). Which is the second smallest value? (a) r (b) 0.5 (c) j b Let z = -51 - -51.21. Let s = z - 0.31. What is the smallest value in 3/11, s, -2/9? -2/9 Let k be (-3632)/152 + -9 + 6/(-57). What is the second biggest value in -0.5, -0.02, k? -0.5 Let d = -1475 + 1494. Which is the third biggest value? (a) d (b) 1 (c) 0.3 c Let h be ((-12)/270)/((-4)/20). What is the second smallest value in h, -4, 4, -5/4? -5/4 Let z = -0.083 - 0.117. Let w = 0.39 - -0.01. Let y = w + 0. Which is the third biggest value? (a) 2 (b) y (c) z c Let m = 32075/3 + -10552. Let i = m + -139. What is the fourth smallest value in 0, 8, -0.1, i? 8 Let r be (-2)/(-12)*(-474)/237. Which is the smallest value? (a) r (b) 0.2 (c) 21 (d) -1/6 a Let m = 35 + -28. Let s = 24 - 36. Let h = s + m. Which is the third biggest value? (a) h (b) 2/17 (c) -4/5 a Let o = -295 + 293. What is the smallest value in -35, 1/2, o, -1? -35 Let k = 91.8 - 91.7. What is the fourth biggest value in k, 0.2, -0.4, 7? -0.4 Let f = -21 - -21.6. Let i = 14 + -11. What is the third smallest value in -4, i, f? i Suppose -5*m = 5, -2*o - 11 = -m - 4. Which is the second smallest value? (a) 1/3 (b) -15 (c) o c Let w be ((-55)/(-26) + -2)*(-28)/(-21). Which is the second biggest value? (a) -3 (b) w (c) -7 a Let l = 9.73 + -13.73. What is the third smallest value in l, 1/6, 5, 1? 1 Let t = -69.396 + 63.4. Let n = 0.004 - t. Let h = 0.03 - 0.43. What is the biggest value in h, n, 0? n Suppose w = 4*w + 9. Let o be (12/18)/((-11)/3*1). What is the second smallest value in w, -2/23, o? o Let u = -54 + 52.32. Let k = -0.32 + u. Which is the second biggest value? (a) 1/3 (b) 19 (c) k a Let j = -0.7 + 1.1. Let n(z) = -3*z - 129. Let a be n(-43). What is the fourth smallest value in -0.5, a, -0.2, j? j Let z = 9140.5 - 9141. Suppose 2*q + 1 = -u, 0 = 3*q + 3 + 6. Which is the second biggest value? (a) z (b) 0.4 (c) u (d) 3 d Let q = 45.1 - 4.1. Let g = 41 - q. What is the smallest value in g, 1, 4/7, 4? g Let z = 9 + -4. Let k = 15.2 + -15. Let
{ "pile_set_name": "DM Mathematics" }
rt(9)*-4)/(sqrt(20)/(sqrt(5) - sqrt(5)*-5)). -24*sqrt(13) Simplify -3*(sqrt(104)*-2*-4)/sqrt(8) - (6*(sqrt(468) + 1 + sqrt(468)))**2*-5. 4296*sqrt(13) + 337140 Simplify -2*((sqrt(684) - (0 + sqrt(684)*2)) + sqrt(684) + sqrt(684) + 0). -12*sqrt(19) Simplify -2 + 1*(sqrt(50) + (1 + sqrt(50))**2) - ((sqrt(72) - sqrt(2)) + 1 - (sqrt(98) + 1)). 17*sqrt(2) + 49 Simplify 6*(-1*sqrt(2420) + sqrt(2420) + -3 + 2). -6 Simplify 2*(sqrt(33) - (sqrt(198)*-4 + sqrt(198))/sqrt(6))/(sqrt(3) + sqrt(432)). 8*sqrt(11)/13 Simplify 3*(5*(-6*sqrt(85)/sqrt(5) - sqrt(17) - sqrt(17)))**2 + -4. 81596 Simplify (-2 + -3 + -1*(sqrt(1539) + 2) + 0)**2. 126*sqrt(19) + 1588 Simplify ((-1*sqrt(3645))/(sqrt(900) - sqrt(900)*-4))**2*6. 243/250 Simplify 4*((sqrt(77)*1 - sqrt(77))*5 + (sqrt(77) - (sqrt(77) + -2*sqrt(77)*-3)))/(sqrt(1100) + 2*sqrt(1100)*1). -4*sqrt(7)/5 Simplify -3 + (((-1 + sqrt(1620))*6)**2 - sqrt(1620)) + 3. -1314*sqrt(5) + 58356 Simplify ((1*sqrt(60) - sqrt(60))*-1)/sqrt(12)*-1 + 4 + (sqrt(5) - (sqrt(180)*1 - sqrt(180))**2 - (sqrt(20) + 0)). -sqrt(5) + 4 Simplify -1*((sqrt(57) - (1*sqrt(684))/sqrt(12))/sqrt(3) - (5 + sqrt(76)/sqrt(4) + 5)). sqrt(19) + 10 Simplify ((-4*sqrt(126)*-2)/sqrt(7))/(2*sqrt(150) - -2*sqrt(24)). 4*sqrt(3)/7 Simplify (-6*sqrt(135)*-2)/(2*(sqrt(5) + -2*sqrt(5))). -18*sqrt(3) Simplify -1*(-1 + (3*sqrt(275) + -5 - -3*4*sqrt(275)))**2. -61911 + 900*sqrt(11) Simplify 3 + -5 + (sqrt(891) + -2*sqrt(891)*-1)**2 + 3. 8020 Simplify sqrt(2) + 0 + sqrt(2) + 4 - sqrt(2) - 2*sqrt(162) - (4*sqrt(24)/sqrt(2))/sqrt(6). -21*sqrt(2) + 4 Simplify (1*(sqrt(1100) + 1 + -2 - sqrt(1100))*2)**2. 4 Simplify 4*-1*(2 + sqrt(48) + -2). -16*sqrt(3) Simplify (-4*-1*1*sqrt(88))/(-4*(sqrt(48)/sqrt(2))/sqrt(3)). -sqrt(11) Simplify ((5 + -3*sqrt(833)*6)*4 + 5)**2. -25200*sqrt(17) + 4318897 Simplify -1 + 0 + sqrt(13) + sqrt(13) + (sqrt(325) + (sqrt(325) + 1 - sqrt(325)))**2 + sqrt(325) - (-2*(sqrt(117)*-6 - (2*sqrt(156))/sqrt(12)))**2. -20475 + 17*sqrt(13) Simplify -2*(-1*sqrt(176) + 1 - sqrt(176) - -4*sqrt(176)*1). -16*sqrt(11) - 2 Simplify (-2*sqrt(17)*-6 + 2 - sqrt(544)/sqrt(2)*3)**2*-6. -24 Simplify 1 + (5*-3*(sqrt(11) + sqrt(11) + sqrt(396))*-4 + 3)**2. 2880*sqrt(11) + 2534410 Simplify -5 + -6*(-4 + (sqrt(180) - (sqrt(180) + 1)) - sqrt(180) - sqrt(180))**2*-3. 2160*sqrt(5) + 13405 Simplify (5*-4*(1*sqrt(405)*-5 + -1))**2. 36000*sqrt(5) + 4050400 Simplify -3*sqrt(180) + (-3*sqrt(605) - sqrt(605)) + (1*sqrt(60))/sqrt(12) + -5*3*sqrt(5) + sqrt(5). -75*sqrt(5) Simplify ((5*2*sqrt(78))/sqrt(3))/(sqrt(6)/(-1*sqrt(3)*-5)). 50*sqrt(13) Simplify (2 + ((-2 + sqrt(833))*-5 - ((sqrt(833) - (sqrt(833) + 2 + -1)) + sqrt(833)))**2)*6. -5544*sqrt(17) + 180666 Simplify -4*((5*(-1 + sqrt(468) - sqrt(468)) - sqrt(468))*-1)**2. -1972 - 240*sqrt(13) Simplify (-5 + -3 + -2 + sqrt(65)/sqrt(5) + (sqrt(156) - (1*sqrt(156)*-2 + sqrt(156) - sqrt(156)))/sqrt(12))**2. -80*sqrt(13) + 308 Simplify (sqrt(25) + sqrt(150)/(sqrt(6) - sqrt(6)*3))/(-4*sqrt(125) + sqrt(125) + sqrt(5)). -sqrt(5)/28 Simplify sqrt(252)*2 + (-2 + sqrt(175))**2 - (sqrt(84) + -4*sqrt(84)*-3 + sqrt(84) - sqrt(84))/sqrt(12). -21*sqrt(7) + 179 Simplify (2*sqrt(136))/sqrt(8) + 1*sqrt(68) - (((-1*sqrt(85))/sqrt(5))**2 + (sqrt(68)/sqrt(4) + -1)**2). -35 + 6*sqrt(17) Simplify 0 + (sqrt(637) - (-1*sqrt(637))**2)*5*5. -15925 + 175*sqrt(13) Simplify 3 + (-1*sqrt(45)*2)/(sqrt(18)/(-4*sqrt(2))) + 3. 6 + 8*sqrt(5) Simplify (-1*(sqrt(121) + sqrt(121) + (sqrt(121) - (sqrt(121)*2 + sqrt(121))) - sqrt(121) - sqrt(121))*5)/(sqrt(33)/sqrt(3)*-1 - sqrt(44)*3)*3. -30*sqrt(11)/7 Simplify -1*(((sqrt(208) - (sqrt(208) + -1)) + -2)*4)**2 + 0. -16 Simplify (-1 + (sqrt(1008) + sqrt(1008) + sqrt(1008) + 1 + sqrt(1008) + sqrt(1008) + 1)**2)*-1. -25203 - 240*sqrt(7) Simplify -2*(5*5*(1 + sqrt(171) - sqrt(171)) + 5). -60 Simplify (-2*sqrt(180)*3)/(-3*3*sqrt(225)). 4*sqrt(5)/15 Simplify -6*(-5*6*(sqrt(432) + -1))**2*6. -14029200 + 777600*sqrt(3) Simplify (-6*((sqrt(560) - sqrt(560)*-2)/sqrt(10))/(-1*sqrt(16)/sqrt(2))*-1)**2. 2268 Simplify (((-1*sqrt(130) - sqrt(130))*-3*-3)/((sqrt(90) + -2*sqrt(90)*1)/sqrt(9)))**2. 4212 Simplify (sqrt(65) + -3*sqrt(65)*2 - sqrt(65) - (-1*sqrt(65) + sqrt(65))*2)/(sqrt(125) + (4*sqrt(125)*3 - sqrt(125))). -sqrt(13)/10 Simplify -4*(2 + sqrt(2299) + 5 + 2). -44*sqrt(19) - 36 Simplify (6*(2 + sqrt(1053) + 2) + (sqrt(1053) + -3*(sqrt(1053) + 0) - sqrt(1053)) + -5)**2. 1026*sqrt(13) + 9838 Simplify ((sqrt(170) - -3*sqrt(170)*2)*1)/(sqrt(110)/(sqrt(1100) + 2*sqrt(1100))). 210*sqrt(17) Simplify ((sqrt(24) - 5*sqrt(24))*-5)/sqrt(8) - 3*(1*sqrt(12))**2. -36 + 20*sqrt(3) Simplify 4 + -6*((sqrt(102)/(sqrt(6) - -6*(sqrt(18)/sqrt(3) - sqrt(6))) + 0)**2 + -1). -92 Simplify -4*(2 + 5*sqrt(99)*1) + -5. -60*sqrt(11) - 13 Simplify (((sqrt(70)*1 + sqrt(70))*4*-2)/((sqrt(90) + 1*sqrt(90) - sqrt(90)) + (-2*sqrt(50))/sqrt(5)))**2. 1792 Simplify 0 + 4 + -2 + sqrt(704) + -4. -2 + 8*sqrt(11) Simplify 3*(sqrt(325) + sqrt(325)*1 + sqrt(325) + sqrt(325)) + -4 - (2 + 1*(sqrt(325) - (-1 + sqrt(325))))**2. -13 + 60*sqrt(13) Simplify ((-3 + -2*(sqrt(243) + 0 + -3) + -4)*-1)**2. 36*sqrt(3) + 973 Simplify -3*(-2*sqrt(5324) + sqrt(5324))/(sqrt(4) - sqrt(100)*5). -11*sqrt(11)/8 Simplify (sqrt(1872) - (-3 + (2*sqrt(1872) - sqrt(1872))))**2*6 + -3. 51 Simplify -4*((sqrt(126)*1 + -1*sqrt(224))/(-5*sqrt(4)/sqrt(2)*-6))**2. -7/225 Simplify (2*((1*sqrt(143) - sqrt(143))*-4 + sqrt(143) + sqrt(143)))/((sqrt(77) - (sqrt(77) - ((sqrt(77) + sqrt(77)*1 + sqrt(77))*4 + sqrt(77))))/sqrt(7)). 4*sqrt(13)/13 Simplify (sqrt(294) - (sqrt(294)*1 + sqrt(294))*-3)/(2*sqrt(8)/sqrt(4)*-5). -49*sqrt(3)/10 Simplify 1 + ((sqrt(110) + sqrt(110)*-2*2)*-5)/((sqrt(80)*5)/sqrt(2)). 1 + 3*sqrt(11)/2 Simplify -1 + (sqrt(90)/(sqrt(10) - 2*sqrt(10)))/(5*sqrt(9)/sqrt(3) - sqrt(3)). -1 - sqrt(3)/4 Simplify (((-1 + sqrt(320))*-1 - (-4*-1*sqrt(320))**2) + -3)*2 + -1. -10245 - 16*sqrt(5) Simplify (sqrt(104)/(2*sqrt(8)))**2 - ((sqrt(52) - sqrt(13)) + 5) - ((sqrt(117) - -2*sqrt(117) - sqrt(13) - sqrt(13))**2 + -1 + sqrt(117)). -2551/4 - 4*sqrt(13) Simplify 1*(sqrt(242) + sqrt(242) + -3*(sqrt(242) + -3 + sqrt(242)))**2*-6. -23718 + 4752*sqrt(2) Simplify (1*sqrt(468)*5 + sqrt(468) - (-2*sqrt(468)*3 - sqrt(468)) - ((5 + -1*sqrt(468) - sqrt(468)) + (sqrt(468) - (sqrt(468) + 1)*3)))**2. -408*sqrt(13) + 135256 Simplify (-1*sqrt(882)*3 - sqrt(882))/(sqrt(9) - (sqrt(54)*1)/sqrt(6) - ((sqrt(9) - -1*(sqrt(9)*1 + sqrt(9))) + sqrt(9))). 7*sqrt(2) Simplify (sqrt(350)/(-1*sqrt(360)))/(sqrt(10)/((sqrt(108)/sqrt(6))/sqrt(9))). -sqrt(7)/6 Simplify 5*3*(sqrt(432) + -4*(-1 + sqrt(432)) - sqrt(432) - 4*-2*sqrt(432))**2*5. 28800*sqrt(3) + 519600 Simplify 2 + 1 + sqrt(931) + -4 + ((0 + sqrt(931) - sqrt(931))*1 - (-2*(-1 + sqrt(931) + sqrt(931) + sqrt(931)))**2) + 5. -33516 + 175*sqrt(19) Simplify (1*((sqrt(208) - (sqrt(208) - (-2*sqrt(208) + -1)))*5 + (-1*sqrt(208) + sqrt(208))*5 + (sqrt(208)*-1 - sqrt(208)) + -3))**2. 768*sqrt(13) + 30016 Simplify (sqrt(1792) - (-3*sqrt(1792))**2)*-2 + (sqrt(112)*5 - (1*sqrt(308))/sqrt(11))**2. -32*sqrt(7) + 34524 Simplify ((sqrt(133) + 1*sqrt(133))*5 + sqrt(133) + -3*sqrt(133)*2)/(2*sqrt(7)*6*4). 5*sqrt(19)/48 Simplify 5 + (2*sqrt(1225))/(sqrt(70)/(2*sqrt(10))). 5 + 20*sqrt(7) Simplify ((sqrt(182)/((2*sqrt(70))/sqrt(10) - sqrt(7)))/(-5*(sqrt(50) + sqrt(50)*1)))**2. 13/2500 Simplify 0 + ((3 + (sqrt(11) - ((sqrt(11) - (sqrt(11) - sqrt(33)/sqrt(3))) + sqrt(11))))**2 + 1)*6 + 2 + 3. -36*sqrt(11) + 131 Simplify ((-1*(2 + 1 + sqrt(180) - sqrt(180)) + 3)*1)**2*6. 0 Simplify (sqrt(68)*2*1)**2 + 3 + (sqrt(153)/sqrt(3))/sqrt(3). sqrt(17) + 275 Simplify (1*((-3*(sqrt(612) + 1 + sqrt(612)) - ((sqrt(612) - (1 + sqrt(612))) + -1)) + (-1*sqrt(612) + -2 - (sqrt(612) - 1*(sqrt(612) + 0)))))**2. 252*sqrt(17) + 29997 Simplify ((sqrt(66) + ((sqrt(66)*-3 + sqrt(66))*3 - sqrt(66)))*-5)/(-6*(2*sqrt(72))/sqrt(12)). -5*sqrt(11)/2 Simplify 6*(-5*sqrt(152)/(sqrt(648) + -3*sqrt(648) + sqrt(648) + sqrt(8)))**2. 1425/32 Simplify ((3*sqrt(156)*6)/sqrt(12) + (2*sqrt(78)*2)/sqrt(6))**2. 6292 Simplify ((-1*sqrt(8) - (3 + sqrt(8)))*-4)**2 + (2*sqrt(56)/sqrt(4))/(sqrt(84)/sqrt(3) + sqrt(7) - sqrt(7)). 385*sqrt(2) + 656 Simplify (1*(sqrt(288) + -2))**2 + sqrt(1152)*-1. -72*sqrt(2) + 292 Simplify sqrt(8) + 2 + 1 - (sqrt(392)
{ "pile_set_name": "DM Mathematics" }
92 Let a(t) be the first derivative of 2*t**3/3 - 2*t**2 + 19. Let c(x) = 3*x**2. Determine c(a(v)). 12*v**4 - 48*v**3 + 48*v**2 Let a(p) = -3737956*p. Let i(r) = -3*r. Calculate a(i(y)). 11213868*y Let k(n) be the third derivative of -n**5/30 + 3*n**2 - 17*n. Let b(o) = -869*o. Calculate k(b(d)). -1510322*d**2 Let f(b) = -14*b**2 + 5*b + 5. Let l(d) = 119*d**2 - 42*d - 42. Let q(x) = 42*f(x) + 5*l(x). Suppose 5 = 3*y - 7. Let j(w) = w + 3*w - y*w + 2*w. Give j(q(m)). 14*m**2 Let m(a) = -a + 1593. Let y(v) = -11*v**2 - 5*v. What is m(y(g))? 11*g**2 + 5*g + 1593 Let g(c) = 16*c. Let y(m) = -m**3 - 7*m**2 - m - 3. Let z be y(-7). Suppose 2*x - z*x = -4. Let v(q) = -q**2 - 2*q**2 + 3*q**x + q**2. Calculate v(g(p)). 256*p**2 Let t(x) = x**2 - 15*x - 29. Let j be t(17). Let o(c) = 4*c**2 + 3*c**2 + j*c**2 - 14*c**2. Let b(m) = -m - 53. Give b(o(h)). 2*h**2 - 53 Let q(i) = 428*i - 428*i + 5*i**2. Let f(r) be the third derivative of 1/30*r**5 + 0*r**3 + 0 + 0*r - r**2 + 0*r**4. Give f(q(j)). 50*j**4 Let o(h) = -3*h**2 + 48*h - 7. Let f(k) = -k**2 + 22*k - 3. Let y(d) = -7*f(d) + 3*o(d). Let i(m) = -19*m**2. What is y(i(p))? -722*p**4 + 190*p**2 Let f(l) = -48*l. Let c(g) = -4*g - 4*g + 3*g + g. Determine c(f(v)). 192*v Let i(b) = -2*b. Let u(t) = -13279*t**2. Determine u(i(y)). -53116*y**2 Let y(g) = 10*g. Let b(a) = -3*a**2 + a - 39. Give y(b(q)). -30*q**2 + 10*q - 390 Let a(o) = -2*o - 18. Let g(y) = 2. Let m(x) = 4*a(x) + 36*g(x). Let k(z) = 81*z. Give m(k(f)). -648*f Let t(g) be the second derivative of 0*g**3 - 1/6*g**4 + 0 - 7*g + 0*g**2. Let v(a) = -a. Give t(v(i)). -2*i**2 Let u(k) = -k. Let s(l) = 543712*l**2. What is u(s(d))? -543712*d**2 Let q(x) be the third derivative of 0*x**3 + 0*x + 0*x**4 - 15*x**2 + 1/60*x**5 + 0. Let v(j) be the third derivative of -5*j**4/8 + j**2. Determine q(v(b)). 225*b**2 Let i(v) = 22*v**2 - 7. Let g(p) = -68*p**2 + 207*p**2 - 69*p**2 - 68*p**2. Determine i(g(f)). 88*f**4 - 7 Let l(u) = 96*u**2. Let m(z) = 0 - 6916*z**2 + 0 + 6917*z**2. Determine m(l(y)). 9216*y**4 Let k(y) = 13*y - 14. Let d(u) = -3*u - 2. Let g(w) = 8*w + 6. Let a(q) = -6*d(q) - 2*g(q). Calculate k(a(z)). 26*z - 14 Let c(o) = -4*o. Let g(f) = 2*f - 43. Let d(k) = -k**2 - 3*k + 48. Let m(s) = -2*d(s) - 3*g(s). Determine m(c(v)). 32*v**2 + 33 Let o(a) = -a + 12. Let h(g) = 9. Let m(w) = 4*h(w) - 3*o(w). Let c(i) = -102*i. Determine c(m(x)). -306*x Let t(j) = -100*j**2 - 4 - 18 + 22. Let l(c) = 3*c**2. What is t(l(i))? -900*i**4 Let n(h) = -51320*h**2. Let v(z) = -z**2. Give n(v(t)). -51320*t**4 Suppose 5*l - 22 = 4*d, 0 = -3*l - 0*l - 3*d - 3. Let k(r) = -3*r**2 + 12 - 12 + 4*r**l. Let q(s) = -7*s. Give k(q(n)). 49*n**2 Let u(h) = 4*h**2. Let w(a) = 600024*a. Give u(w(r)). 1440115202304*r**2 Let k(w) = -3*w + 5. Let r(s) = -33*s + 55. Let t(j) = -j - 1. Let i(v) = r(v) - t(v). Let x(o) = 5*i(o) - 56*k(o). Let h(g) = g. Calculate x(h(m)). 8*m Let q(g) = 6*g**2 - 8*g - 8. Let h(k) = -5*k**2 + 10*k + 10. Let j(v) = 4*h(v) + 5*q(v). Let c(o) = o**2 - o. Determine j(c(t)). 10*t**4 - 20*t**3 + 10*t**2 Let h(s) = -8*s. Suppose 5*u + 0*m = -m + 216, 96 = 2*u - 2*m. Let w(f) = -121*f. Let y(k) = u*h(k) - 3*w(k). Let l(x) = -3*x**2. Determine l(y(o)). -363*o**2 Let k(s) = 5*s**2 - 30 + 8*s - 5 + 35. Let r(o) = -2*o. Calculate k(r(q)). 20*q**2 - 16*q Let c(i) = i**2. Let w(d) = 56 - 108 + 81*d + 52. Give c(w(v)). 6561*v**2 Let w(r) = 11*r. Let v(j) = 3376*j. What is w(v(i))? 37136*i Suppose h = 2*x - 13, 3*h + 2*h - 7 = 2*x. Let l(v) = v + x - 9. Let z(y) = -y + 8*y + 6*y. Give z(l(b)). 13*b Let f(m) = 596*m**2. Let u(b) = 64*b**2. What is u(f(x))? 22733824*x**4 Let g(r) = 4*r**2. Let u be 0*(-2)/14 + 4. Let d(n) be the third derivative of -1/60*n**5 + 0 + 0*n + 3*n**2 + 0*n**u + 0*n**3. Give d(g(f)). -16*f**4 Let k(q) = -13*q - 4. Let a(u) = -43*u - 13. Let n(z) = 4*a(z) - 13*k(z). Let v(s) = 4*s - 5*s + 3*s. Calculate v(n(x)). -6*x Let y(m) be the second derivative of m**3/6 - 2*m. Let l(k) = -11*k + 1. Let q(d) = -5*d**2 - 33*d + 3. Let v(g) = 3*l(g) - q(g). Determine y(v(u)). 5*u**2 Let q(b) = -60*b - 2. Let r(u) = 289*u + 2. Give q(r(x)). -17340*x - 122 Let s(h) be the second derivative of -5*h**3/3 - 47*h. Let r(x) = -4*x. What is s(r(m))? 40*m Let f(c) = 82*c + 7. Let k(l) = 55*l + 5. Let n(q) = 5*f(q) - 7*k(q). Let z(s) = -15*s + 0 + 11*s + 0 + 2*s. Determine n(z(j)). -50*j Let v(g) be the second derivative of 26*g**3/3 + 321*g. Let l(m) = 3*m. Let t(a) = 4*a. Let z(w) = 5*l(w) - 4*t(w). Give v(z(s)). -52*s Let p be 18 - (5 - (-5 + 10)). Let h(m) = 18*m - p + 18. Let o(z) = 2*z. Calculate o(h(x)). 36*x Let b(m) = 8*m. Let p(l) = -360*l. Let d(t) = 272*b(t) + 6*p(t). Let o(u) = 6*u**2. Determine o(d(c)). 1536*c**2 Let y(m) be the third derivative of -m**4/12 + 10*m**2. Suppose -3*z - 7 = -p, 3*p - 2*z + z - 29 = 0. Let x(l) = -4*l - p*l + 18*l + 23*l. What is y(x(u))? -54*u Let m(v) = -2*v. Suppose 16*a = -2*a. Let r(w) be the third derivative of 1/8*w**4 + a*w + w**2 + 0 + 0*w**3. Give m(r(o)). -6*o Let b(j) = 14*j. Let r(h) = -71614*h. What is r(b(a))? -1002596*a Let h(z) = 3*z. Let u(j) = -84095*j. What is u(h(w))? -252285*w Let m(p) = 12*p. Let u(c) = -9*c**2 - 6*c - 6. Let k(q) = -9*q**2 - 5*q - 5. Let a(b) = 6*k(b) - 5*u(b). Give a(m(v)). -1296*v**2 Let a(p) be the second derivative of -9*p**3/2 + 40*p + 1. Let b(k) = 7*k. Determine b(a(o)). -189*o Let v(n) = 20*n - 115. Let c(b) = -20*b + 92. Let p(k) = 5*c(k) + 4*v(k). Let d(x) = -7*x. What is p(d(y))? 140*y Let z(p) be the third derivative of 5*p**4/24 + 116*p**2. Let q(d) = -4*d. Calculate z(q(k)). -20*k Let q(u) = 3*u**2. Let i(y) = 114*y + 65. Give q(i(d)). 38988*d**2 + 44460*d + 12675 Let b(g) be the first derivative of -g**2 + 708. Let h(f) = -9*f**2 + 2. Determine h(b(r)). -36*r**2 + 2 Let b(s) = 35*s**2 + 2*s + 1. Let q(w) = 561*w**2 + 33*w + 18. Let a(o) = 33*b(o) - 2*q(o). Let t(u) = -3*u. Determine a(t(n)). 297*n**2 - 3 Let k(u) = 4*u**2 + 25354 - 25354. Let g(f) = 17*f. Determine g(k(q)). 68*q**2 Let v be -3*(-3)/((-12)/(-4)). Suppose -4 = -5*q + 4*u, -2*u + v = 2*q - 5*u. Let z(j) = -j + j - j + q. Let o(r) = 3*r**2. Give o(z(a)). 3*a**2 Let w(m) = 3476*m. Let b(d) = -7*d. Calculate b(w(g)). -24332*g Let j(f) = 3010*f. Let d(q) = 10*q**2. What is j(d(k))? 30100*k**2 Let d(s) = 7*s**2. Let z(w) = 90*w. Let u(a) = -18*a. Let v(q) = 24*u(q) + 5*z(q). Determine v(d(n)). 126*n**2 Let w(k) = -7*k**2 - 6*k**2 + 2*k**2 + 4*k**2. Let d(z) = -6*z + 5. Let g(c) = -7*c + 6. Let y(v) = 6*d(v) - 5*g(v). Calculate w(y(b)). -7*b**2 Let m(g) = 7*g + 4247. Let k(q) = -q**2. Calculate m(k(c)). -7*c**2 + 4247 Let q(r) = -2*r - 20. Let z(y) = -2. Let k(m) = 2*q(m) - 20*z(m). Let l(v) = -52*v**2. What is k(l(d))? 208*d**2 Let p(a) = -151*a**2 - 3*a. Let h(l) = -177*l - 1. Calculate h(p(q)). 26727*q**2 + 531*q - 1 Let o(d) = 3*d. Let i(g) = 552030*g. Calculate o(i(b)). 1656090*b Let y(g) be the third derivative of g**4/12 + g**2 - 17. Let d(a) = 2*a**2 + 6. What is d(y(b))? 8*b**2 + 6 Let a(x) = -3*x. Let h = 22 + -15. Let y(d) = 0*d**2 - 3*d**2 - h*d**2 - 2*d**2. What is a(y(k))? 36*k**2 Let y(x) = -6*x + 6*x + 4*x**2. Let k(i) be the first derivative of -6 + 0*i + 2/3*i**3 + 0*i**2. Determine y(k(v)). 16*v**4 Let s(m) = -11*m. Suppose -6*w + 60 = -42. Let l(p) = w*p + 13*p + 11*p - 39*p. Give l(s(x)). -22*x Let h(j) = 615*j + 165. Let d(g) = 15*g + 4. Let s(v) = -165*d(v) + 4*h(v). Let a(u) be the first derivative of 0*u + 0*u**2 - 13 - 1/3*u**3. Give a(s(p)). -225*p**2 Let k(s) = -2*s. Let g(t) = -60*t + 2524. Calculate k(g(m)). 120*m - 5048 Let v(a) = 2*a. Let i(w) = 190*w**2 - 133*w + 2. Calculate i(v(n)). 760*n**2 - 266*n + 2 Let i(n) = 10*n - 2. Let z(g) be the first derivative of -g**3/3 + 55. Determine i(z(p)). -10*p**2 - 2 Let v(w) = 2*w**2 + 5*w - 5. Let m(f) = -f**2 - 2*f + 2. Let c(z) = -5*m(z) - 2*v(z). Let r(g) = 43189 - 18*g**2 + 43184 + 43188 - 129561. Give r(c(x)). -18*x**4 Let u(z) = -2*z - 2. Let r(t) = -22*t - 12. Let h(y) = -r(y) + 6*u(y). Let d(m) = -3*m. Give d(h(n)). -30*n Let l(d) = -5*d**2. Let h(s) = s. Let v(y) = 23*y - 1. Let b(t) = -5*h(t) - v(t). Calculate l(b(a)). -3920*a**2 + 280*a - 5 Let l(y) = y**2. Let u(r) = -7*r + 1. Let d(m) = -820*m - 10. Let b(f) = d(
{ "pile_set_name": "DM Mathematics" }
when 74 is divided by v? 24 Let p(n) = -17*n**2 - 19*n - 10. Let c(j) = 8*j**2 + 9*j + 5. Let l(z) = 13*c(z) + 6*p(z). Let f = 18 - -6. Calculate the remainder when l(5) is divided by f. 22 Let c = 9 - 19. Let q = -22 - c. Let f = 25 + q. Calculate the remainder when 37 is divided by f. 11 Suppose 3*y - 15 + 45 = 3*d, -y + 38 = 3*d. What is the remainder when 33 is divided by d? 9 Let n = 79 - 34. Suppose 2*b - 3*l = 22, -3*b - 5 = -0*b + 5*l. Suppose 13 = a - 0*a + 3*o, n = 5*a + b*o. What is the remainder when 13 is divided by a? 6 Let p(q) = -q**2 + 6*q - 5. Let h be p(7). Let k be (-58)/3*h/(-8). Let z = k + 40. What is the remainder when 41 is divided by z? 8 Let c = 67 - 42. Suppose r = -2*v - 3, -5*r + 0*r - 1 = -4*v. What is the remainder when (47*-1)/v + 1 is divided by c? 23 Suppose -2*v = 4 - 80. Calculate the remainder when v is divided by 13. 12 Let z = 16 + -2. What is the remainder when 40 is divided by z? 12 What is the remainder when 53 is divided by 1536/56 + ((-11)/(-7) - 1)? 25 Let s(x) = 4*x**2 - 2*x + 1. Let d(l) = 9*l**2 - 4*l + 2. Let t(k) = 6*d(k) - 13*s(k). What is the remainder when (-17)/(-2) - 1/2 is divided by t(-2)? 2 Suppose -2*j = 2*i - 16, 2*j + 9*i - 16 = 4*i. What is the remainder when 21 is divided by j? 5 Suppose -21 = -b + 3*r, 0*b = 4*b + 2*r - 14. Let l = b - -11. Calculate the remainder when l is divided by 6. 5 Suppose -3*k - 4*k = -1519. Calculate the remainder when k is divided by 55. 52 Suppose -5*x + 18 = -2. Calculate the remainder when 4 is divided by x. 0 Suppose -3*n + 192 = 3*s, 79 + 213 = 4*s - 5*n. What is the remainder when s is divided by 23? 22 Let n = -11 - -118. What is the remainder when n is divided by 14? 9 Suppose -r - 18 = -4*r. Suppose 0*y = 4*a - 3*y - 3, -a = -2*y + 3. What is the remainder when (-18)/(2 + (a - r)) is divided by 7? 4 Suppose -a - a + 4*o = -18, -4*a + o = -57. What is the remainder when 226/4 + (-4)/(-8) is divided by a? 12 Suppose -5*q - 1 = 3*h - 32, -2*h + 3*q + 46 = 0. What is the remainder when h is divided by 10? 7 Suppose 0 = -b - 3*b + 64. Let r = 19 + -15. Suppose 0 = 2*g - 2*m + 40 - 104, r*m + 157 = 5*g. What is the remainder when g is divided by b? 13 Let k(x) = 21*x - 1. Let g(t) = -t - 6 + 7 + 11. What is the remainder when k(1) is divided by g(5)? 6 Let y = -11 - -19. Let u = -24 - -38. Calculate the remainder when u is divided by y. 6 Suppose 0*z = -4*z + 272. Let v = 108 - z. Suppose -2*i = -6*i + v. What is the remainder when 37 is divided by i? 7 Let s(m) = -m**2 - m + 1. Let g(u) = -u**2. Let y(a) = -g(a) - s(a). Let j be y(-3). What is the remainder when 5 is divided by 2/7 - (-38)/j? 2 Suppose 0 = 5*f + 29 - 99. Let s = -3 + f. Let r(l) = l - 3. Calculate the remainder when s is divided by r(7). 3 What is the remainder when 14 is divided by 5*2*(-4)/(-8)? 4 Let z be 1*2/(-2)*-4. Suppose -225 = -o - z*o. What is the remainder when o is divided by 24? 21 Let s(c) = -c**3 - 7*c**2 + 4*c - 2. Let k be s(-8). Suppose -2*r + 5*r = k. Calculate the remainder when 29 is divided by r. 9 Let o(p) be the first derivative of p**3/3 + p**2/2 - 3*p - 6. Calculate the remainder when 53 is divided by o(5). 26 Suppose b + 3*z - 69 = z, -b + z + 63 = 0. What is the remainder when b is divided by 34? 31 Let q = -39 + 20. Let w = 42 + q. What is the remainder when 43 is divided by w? 20 Let c(g) = 4*g**2 - 4*g - 5. Let h(z) = 5*z**2 - 5*z - 6. Let i(x) = 4*c(x) - 3*h(x). Let v = 42 - 28. What is the remainder when i(-6) is divided by v? 12 Suppose -3*v - 2*j = -147, -v + 5*j - 62 = -2*v. Let t = -21 - 10. Let m = t + v. Calculate the remainder when m is divided by 9. 7 Suppose -5*r + 6*z = 2*z - 321, 4*r + z = 240. Calculate the remainder when r is divided by 17. 10 Suppose 6*v - 8 = 2*v. Suppose v*i = 5 + 83. Suppose -5*g + 82 - 32 = -5*d, -35 = -3*g + 2*d. What is the remainder when i is divided by g? 14 Suppose -12 = -5*g - 3*o, 4*o - 1 + 20 = 5*g. Suppose -4*f + 0 = 5*p - 15, 0 = f. Suppose -21 + 6 = -p*z. Calculate the remainder when z is divided by g. 2 Suppose a + 343 = 4*o, -4*o - 2*a + 6*a = -328. Let d = o + -44. What is the remainder when d is divided by 16? 11 Let g(j) = -j + 3. Let i = 1 - 6. Calculate the remainder when g(i) is divided by 4. 0 Let w = -1 - -4. Suppose -w*c + 8 = -13. Calculate the remainder when 4*1 + 42/2 is divided by c. 4 Let l = -5 - -7. Suppose 2*p - j - 4 = 0, -p + l = -0*p + 5*j. Calculate the remainder when p is divided by 1. 0 Let j(y) = -y**2 - 6*y - 5. Let d be j(-5). Let g = d - -10. What is the remainder when g is divided by 6? 4 Let p = -5 + 9. Let c be (17 - -3)*(-16)/(-5). Suppose p*m = -0*m + c. Calculate the remainder when 31 is divided by m. 15 Suppose 4*n - 7 = b, -n - 6*b = -3*b - 5. Suppose -5*z + 14 = 3*a, -2*a + 1 = -z - 4. Calculate the remainder when n is divided by z. 0 Suppose 39 = 2*f - 29. Let t = 48 - f. Suppose l = 3*b - 14, 4*b - 25 + 0 = -5*l. Calculate the remainder when t is divided by b. 4 Let b(j) = j**2 + 15*j + 8. Calculate the remainder when b(-16) is divided by 2. 0 Let d = 10 + -6. Suppose i = d, 5*c + 5*i = -0*i + 30. Suppose f + 32 = 36. Calculate the remainder when f is divided by c. 0 Suppose -3*c = 2*c - 215. Calculate the remainder when c is divided by 22. 21 Let v(p) = -122*p. What is the remainder when v(-1) is divided by 31? 29 Let w = -8 - -18. Calculate the remainder when 29 is divided by w. 9 Suppose 0 = -3*k + 2*g + 59, 2*k + g + 0*g - 44 = 0. What is the remainder when k is divided by 12? 9 Let s(n) = 2*n + 9. Calculate the remainder when 99 is divided by s(8). 24 Let f = -33 + 49. Let j = 1 + f. Calculate the remainder when j is divided by 7. 3 Let p(t) = t**3 - 3*t**2 - 3*t + 5. Let j be p(4). Let m(g) = g. What is the remainder when 26 is divided by m(j)? 8 Suppose s - 5*s + 164 = 0. Calculate the remainder when s is divided by 22. 19 Let o = 136 + -54. What is the remainder when o is divided by 14? 12 Let k = -48 + 99. Calculate the remainder when 98 is divided by k. 47 Suppose 26 = 9*q - 91. What is the remainder when q is divided by 5? 3 Let g(o) = o**2 + 5*o + 9. What is the remainder when 34 is divided by g(-5)? 7 Let a(b) = -b**2 - 8*b + 2. Let o be a(-8). Suppose -o*h = 3*h. What is the remainder when 1/1 + 0 - h is divided by 1? 0 Let h = 10 + -6. Suppose m + 3 - 12 = 0. Calculate the remainder when m is divided by h. 1 Let w(n) = 2*n**3 - 2*n**2 - 3*n + 4. Calculate the remainder when 15 is divided by w(2). 3 Let a = -117 - -62. Let i = a + 81. Calculate the remainder when i is divided by 9. 8 Calculate the remainder when (-302)/(-4) - 5/(-10) is divided by 39. 37 Let o = -22 - -34. What is the remainder when 18*(-3 + (-44)/(-8)) is divided by o? 9 Let l(m) = -m**2 - 8*m - 3. Let u be l(-7). Suppose -u*j = -3*j - 11. What is the remainder when 31 is divided by j? 9 Let j = -3 + 8. Suppose t = 1 + j. What is the remainder when 22 is divided by t? 4 Let q = -4 - -20. Suppose -5*v - 2 = -3*i, -3*i + 7 = -2*v - 1. Suppose v*c - 17 = 1. What is the remainder when q is divided by c? 7 Let x = -44 + 72. Calculate the remainder when 81 is divided by x. 25 Suppose 10*b - 12*b = -22. What is the remainder when 30 is divided by b? 8 Suppose d - 120 = 4*r, -5*r - d = -3*d + 153. Let o = 122 + r. Calculate the remainder when o is divided by 24. 21 Suppose -5*n - 6 = 4. Let a = n - -6. What is the remainder when 10 is divided by a? 2 Let r be (-36)/(-3)*2/6. Let l be -2*(2 + -3) + 93. Suppose -g + l = r*g. Calculate the remainder when 56 is divided by g. 18 Suppose 4*d = -5*f + 20, 2*d - 13 = -3*f - 3. Suppose 0 = 5*o - 0*o + 50. Let n = o + 23. What is the remainder when n is divided by d? 3 Let k be -6*((-4)/2 + 0). Let q = k + -7. What is the remainder when q is divided by 2? 1 Let r = -9 + 88. Suppose -9 - r = -2*h. What is the remainder when (-2 - -5)*h/6 is divided by 12? 10 Let t = 14 - -40. Suppose 70 = 5*m + 2*j, m + j - 56 = -3*m. Calculate the remainder when t is divided by m. 12 Let r(x) = x + 5. Let l be r(-8). Calculate the remainder when -2 - 1*120/l is divided by 13. 12 Let w(p) = -13*p. Let x be w(2). Suppose -4*g + 5*r = 148, 5*g + 2 = -5*r - 183. Let u = x - g. What is the remainder when 21 is divided by u? 10 Let z(k) = -3*k**2 + 21*k - 21. Let b(y)
{ "pile_set_name": "DM Mathematics" }
increasing order. -21, -4, 30 Put -4, 3, 26 in decreasing order. 26, 3, -4 Sort 3, -23, 1, -5. -23, -5, 1, 3 Sort 0, 21, -0.5 in decreasing order. 21, 0, -0.5 Put -0.1, -97, 1/5, -0.2, -0.4 in ascending order. -97, -0.4, -0.2, -0.1, 1/5 Sort 2, 3, -0.007, -7. -7, -0.007, 2, 3 Sort -0.2, 2, -0.326. -0.326, -0.2, 2 Sort 13, -2, 229, 1 in ascending order. -2, 1, 13, 229 Put -2, 0.6, 99, -4 in ascending order. -4, -2, 0.6, 99 Sort -2/33, -38, -2 in descending order. -2/33, -2, -38 Sort 0.2, -6, 13, 3. -6, 0.2, 3, 13 Sort -3, -1, 144 in decreasing order. 144, -1, -3 Put 0, -3, 28, -5 in descending order. 28, 0, -3, -5 Sort 1, -1, 17, 5. -1, 1, 5, 17 Put -5, 5, -11 in decreasing order. 5, -5, -11 Sort -3, -1/6, -3/13 in increasing order. -3, -3/13, -1/6 Sort -3, -1, 20, 3 in decreasing order. 20, 3, -1, -3 Sort 4, -3, 2, 8268 in descending order. 8268, 4, 2, -3 Sort -3/5, 0.5, -2.7, -4 in increasing order. -4, -2.7, -3/5, 0.5 Sort 3, -5, 1, 2, 54 in descending order. 54, 3, 2, 1, -5 Sort 1, 95, 3/5 in decreasing order. 95, 1, 3/5 Put 3/2, 6, 2, 2/7, -0.2 in increasing order. -0.2, 2/7, 3/2, 2, 6 Put 3, -5, 0.6, -3 in ascending order. -5, -3, 0.6, 3 Put -5, -1, -0.2, -26, -4 in ascending order. -26, -5, -4, -1, -0.2 Put 0.1, 7/3, 1/9, 1/3, -0.4 in descending order. 7/3, 1/3, 1/9, 0.1, -0.4 Sort 15/8, 4, 2, 0.1 in increasing order. 0.1, 15/8, 2, 4 Put 1/6, -4, 3/25, -0.1 in increasing order. -4, -0.1, 3/25, 1/6 Sort -26, 25, -1 in ascending order. -26, -1, 25 Sort -0.3, 1/8, -5/2, -8 in descending order. 1/8, -0.3, -5/2, -8 Put -1, 0, 22, -5, 3 in ascending order. -5, -1, 0, 3, 22 Sort -5, 3, 434, 5 in decreasing order. 434, 5, 3, -5 Sort -16, -3, -1/5. -16, -3, -1/5 Sort -1, 11, -3 in increasing order. -3, -1, 11 Sort 0.2, -3/7, 0.91 in descending order. 0.91, 0.2, -3/7 Sort 23, 3, -1. -1, 3, 23 Sort 2/3, 1, -31, -6 in decreasing order. 1, 2/3, -6, -31 Sort 6, -3, 1, -35, 4 in ascending order. -35, -3, 1, 4, 6 Sort 3, 2, 7, 0 in increasing order. 0, 2, 3, 7 Put 17.6, 0.5, 2/5, -4/9, -4 in decreasing order. 17.6, 0.5, 2/5, -4/9, -4 Put -0.1, -0.2, -9, -0.3, -2 in descending order. -0.1, -0.2, -0.3, -2, -9 Sort 1331, -5, -0.3 in increasing order. -5, -0.3, 1331 Put -4, 5, 4, -1469 in decreasing order. 5, 4, -4, -1469 Sort 0, 5, -40, 1. -40, 0, 1, 5 Sort 18, -4, 6/7, -0.1 in decreasing order. 18, 6/7, -0.1, -4 Put -9, -1, 133 in increasing order. -9, -1, 133 Sort -17, 24, -2. -17, -2, 24 Put 3, 0, 8 in increasing order. 0, 3, 8 Sort -4/3, 1/2, 40, 4, -3 in ascending order. -3, -4/3, 1/2, 4, 40 Sort -0.3, 4, -0.5, 0.7 in descending order. 4, 0.7, -0.3, -0.5 Sort -3.1, 11, 4 in decreasing order. 11, 4, -3.1 Put 4, -1, -17 in ascending order. -17, -1, 4 Sort 2, -135, -2 in ascending order. -135, -2, 2 Put 1, -5, 1093, -4, 5 in decreasing order. 1093, 5, 1, -4, -5 Put 0, 300, 5 in descending order. 300, 5, 0 Sort 1, 5, -511 in descending order. 5, 1, -511 Sort 1, 6.1, -26/5 in increasing order. -26/5, 1, 6.1 Put 9, 3, -2, 2, 17 in descending order. 17, 9, 3, 2, -2 Put -2, -0.82, 2/13 in decreasing order. 2/13, -0.82, -2 Sort 4, 5, -7 in descending order. 5, 4, -7 Sort -1, 0.2, 21, 0, -5 in increasing order. -5, -1, 0, 0.2, 21 Put -3, -18, -2/13, 6 in increasing order. -18, -3, -2/13, 6 Sort -2, 3, 5, 4/3, 4. -2, 4/3, 3, 4, 5 Put 38, -1, -3, -2 in descending order. 38, -1, -2, -3 Put -4, -1, -14 in descending order. -1, -4, -14 Sort -3, -1, -19, 5. -19, -3, -1, 5 Sort -0.5, 295, 0.4, 3/5 in decreasing order. 295, 3/5, 0.4, -0.5 Put -0.034, -2, -3 in descending order. -0.034, -2, -3 Put -2/13, 0, 0.4, -2/33, -0.2 in decreasing order. 0.4, 0, -2/33, -2/13, -0.2 Sort 74, 5, -3 in descending order. 74, 5, -3 Sort 3, -4, -1, 8. -4, -1, 3, 8 Sort -0.4, 2/17, -0.1, -6/7, 54 in descending order. 54, 2/17, -0.1, -0.4, -6/7 Sort -2/7, 2, -2, -4, 4 in ascending order. -4, -2, -2/7, 2, 4 Sort 3821, -3, -1. -3, -1, 3821 Sort -1, -3/2, 1, 3/8 in descending order. 1, 3/8, -1, -3/2 Sort -2, -49/2, 3, 0.2 in ascending order. -49/2, -2, 0.2, 3 Sort 2.2, 4, 0.2. 0.2, 2.2, 4 Sort -4, 4, 7, 5. -4, 4, 5, 7 Sort -5, 30, -0.1 in descending order. 30, -0.1, -5 Sort -5, 5, 3, -28. -28, -5, 3, 5 Sort -5/6, 3/11, -5, 2. -5, -5/6, 3/11, 2 Put -4, 5, 255, 4 in descending order. 255, 5, 4, -4 Sort 4, -1, 91/6, 1. -1, 1, 4, 91/6 Put -2, -1, -13, 4 in decreasing order. 4, -1, -2, -13 Sort -5, 3, 0.3, -1.17, 5 in decreasing order. 5, 3, 0.3, -1.17, -5 Put -2/13, -2, 3, -41/4, 0.3 in decreasing order. 3, 0.3, -2/13, -2, -41/4 Sort -3/8, -3/10, 1/6 in ascending order. -3/8, -3/10, 1/6 Sort -2, -3, 3, 433. -3, -2, 3, 433 Put 5, 1, -5, -4, -2 in decreasing order. 5, 1, -2, -4, -5 Sort 1, 1/7, 99/17 in decreasing order. 99/17, 1, 1/7 Put -81, -6, 4 in ascending order. -81, -6, 4 Sort -2, -3, 4, -6 in descending order. 4, -2, -3, -6 Sort -0.5, -2/3, 2.2, -0.1, -10. -10, -2/3, -0.5, -0.1, 2.2 Put 3, 9, 5, 4, 0 in decreasing order. 9, 5, 4, 3, 0 Sort 5, 0.4, 0.42, 0.3 in descending order. 5, 0.42, 0.4, 0.3 Sort 2, -0.07, 61 in ascending order. -0.07, 2, 61 Sort -3, -1, 2 in increasing order. -3, -1, 2 Sort -9, -16, 2 in decreasing order. 2, -9, -16 Put -50, -1, 11 in ascending order. -50, -1, 11 Sort 17, -2/9, 1/7, -36/7, -2 in ascending order. -36/7, -2, -2/9, 1/7, 17 Put -5, 7, 12, -3 in increasing order. -5, -3, 7, 12 Sort 51, 5, 4, 1, 3 in descending order. 51, 5, 4, 3, 1 Sort -3, 12, -15, 0 in ascending order. -15, -3, 0, 12 Sort -1/2, -65, 2. -65, -1/2, 2 Sort 3, -20, -1, 5, -2 in increasing order. -20, -2, -1, 3, 5 Put -3, -11, 9, -17 in decreasing order. 9, -3, -11, -17 Sort 148, -3, 3 in decreasing order. 148, 3, -3 Put 39, 2/23, 0.1, -2/3 in descending order. 39, 0.1, 2/23, -2/3 Sort 10, 38, 5 in increasing order. 5, 10, 38 Sort -3, -38, 2, 3 in ascending order. -38, -3, 2, 3 Sort 3, 309/5, -1/2 in ascending order. -1/2, 3, 309/5 Sort -0.5, -0.023, 2/5 in descending order. 2/5, -0.023, -0.5 Sort 3, 4, -1, -3 in decreasing order. 4, 3, -1, -3 Sort 3, 0, -1, 2. -1, 0, 2, 3 Sort -1, 7, 2, -6 in decreasing order. 7, 2, -1, -6 Sort 0.7, -1, 11. -1, 0.7, 11 Put -1/3, -5, -1, -18, 2 in decreasing order. 2, -1/3, -1, -5, -18 Sort -1, 1/10, 3/5, 0.3. -1, 1/10, 0.3, 3/5 Sort -4/7, 0, -21, 2/5 in decreasing order. 2/5, 0, -4/7, -21 Sort -814, 0.4, 3, -1/4 in decreasing order. 3, 0.4, -1/4, -814 Sort 2/5, 0.342, 1, -2/11 in increasing order. -2/11, 0.342, 2/5, 1 Put -4, -75, 5 in descending order. 5, -4, -75 Sort 3, 1, -35, 5. -35, 1, 3, 5 Put -3, 3, 154 in increasing order. -3, 3, 154 Put 911, -10, 0 in ascending order. -10, 0, 911 Put -4, -5, -1326, 5 in increasing order. -1326, -5, -4, 5 Sort 2, 7, 79. 2, 7, 79 Put -2, 2, 1, 85, -4 in decreasing order. 85, 2, 1, -2, -4 Sort 0, 26, -2 in ascending order. -2, 0, 26 Sort 3, -4, -117, 5 in increasing order. -117, -4, 3, 5 Put -857, 4, -2/5 in ascending order. -857, -2/5, 4 Sort 5, 2/7, 0.1, -3 in descending order. 5, 2/7, 0.1, -3 Sort 68, 2, 1. 1, 2, 68 Sort 0, 0.2, 67 in decreasing order. 67, 0.2, 0 Put -5, 55, -1, -3 in descending order. 55, -1, -3, -5 Sort -93, -0.2, 2, 5. -93, -0.2, 2, 5 Put 1, -3, 15, 2, 7 in ascending order. -3, 1, 2, 7, 15 Sort -0.4, 3, -1/10, -9, -0.2 in decreasing order. 3, -1/10, -0.2, -0.4, -9 Put -0.08, -1, 2/3, -0.1 in ascending order. -1, -0.1, -0.08, 2/3 Sort 15, 41, 5, -5. -5, 5, 15, 41 Put -2, 3/4, 8 in descending order. 8, 3/4, -2 Put -2, 5, -6, -4 in increasing order. -6, -4, -2, 5 Put 2, -8, 3, -1 in ascending order. -8, -1, 2, 3 Put -116, 2, -2, -4, -1 in increasing order. -116, -4, -2, -1, 2 Put -23, 5, 4, -3, 0 in descending order. 5, 4, 0, -3, -23 Sort -1, 675, -3 in decreasing order. 675, -1, -3 Sort 1/4, -5, 9/23 in descending order. 9/23, 1/4, -5 Put -2, 2, 162, 0 in decreasing order. 162, 2, 0, -2 Sort 0.5, -51, 1, 2/9, -2/9. -51, -2/9, 2/9, 0.5, 1 Sort -5, 1, -2/3, 2/89, -7 in increasing order. -7, -5, -2/3, 2/89, 1 Sort -20, -0.1, -4. -20, -4, -0.1 Sort -1/3, 29, 2/27. -1/3, 2/27, 29 Put -3/7, 4, -4, 0, -1041 in descending order. 4, 0, -3/7, -4, -1041 Sort -3, -577, 3, 7 in ascending order. -577, -3, 3, 7 Sort 2, 6, -4, -12, 4 in increasing order. -12, -4, 2, 4, 6 Put -1.8, 3/5, 2/9, 8 in descending order. 8, 3/5, 2/9, -1.8 Sort -6, 4, -0.03, 3, 1. -6, -0.03, 1, 3, 4 Put 1, 927, -2, 3, -3 in descendin
{ "pile_set_name": "DM Mathematics" }
e r(2). -18 Let r(q) = 10449*q - 125448. Determine r(12). -60 Let m(u) = u**2 + 10839*u - 511637. Determine m(47). 5 Let m(t) = 789734*t - 9476800. What is m(12)? 8 Let n(x) = -4*x**2 - 954*x - 8980. Give n(-228). 596 Let k(r) = -38*r + 671. What is k(7)? 405 Let v(u) = -165*u - 1916. Determine v(-26). 2374 Let y(z) = -z**3 - 195*z**2 + 2698*z - 1244. Determine y(-208). 4 Let b(a) = 202*a - 162. Give b(13). 2464 Let t(k) = k**3 - 9*k**2 + 2*k + 277. Give t(0). 277 Let d(q) = q**3 + 119*q**2 + 3554*q + 1323. Give d(-57). 183 Let f(x) = -6*x**3 + 2017*x**2 - 319*x - 5719. Calculate f(336). -7 Let b(l) = -50*l**2 + 196*l + 105. Determine b(-4). -1479 Let j(x) = -19*x**3 + 18836*x + 18837. Determine j(-1). 20 Let z(x) = -103*x**3 - x**2 + 119*x - 117. Give z(1). -102 Let s(z) = -19*z**3 + 52*z**2 - 9*z + 30. What is s(5)? -1090 Let m(z) = 16370*z - 900891. What is m(55)? -541 Let s(i) = 102*i**2 - 966*i - 2910. What is s(-3)? 906 Let u(q) = q**3 + 47*q**2 + 502*q + 16281. Give u(-44). 1 Let t(g) = g**3 - 43*g**2 - 239*g + 1. Determine t(48). 49 Let r(x) = -9946*x - 60206. Calculate r(-6). -530 Let y(n) = -1596*n + 21201. Determine y(13). 453 Let o(n) = n**3 + 94*n**2 + 79*n - 446. Give o(-93). 856 Let y(g) = 7*g**2 + 35*g - 181. Give y(-11). 281 Let o(l) = 623*l**2 - 1923*l - 9. What is o(3)? -171 Let h(p) = -p**3 + 439*p**2 + 10*p - 4370. Calculate h(439). 20 Let z(o) = -934*o**2 - 4673*o - 10. Give z(-5). 5 Let k(n) = -n**3 - 12*n**2 + 8073*n - 791. Determine k(84). -35 Let p(f) = 2015*f - 60452. What is p(30)? -2 Let k(j) = -128863*j - 644362. What is k(-5)? -47 Let w(q) = 50*q - 10464. Calculate w(209). -14 Let m(a) = -1260*a**2 - 5033*a + 3. Determine m(-4). -25 Let v(x) = -569*x + 196487. Give v(344). 751 Let s(q) = -1696*q - 116892. What is s(-69)? 132 Let l(h) = 3*h**3 - 221*h**2 + 2190*h + 50. Give l(12). -310 Let u(g) = -60030*g - 180088. What is u(-3)? 2 Let o(s) = -46683*s - 4901710. Calculate o(-105). 5 Let a(y) = 3567*y + 3589. What is a(-1)? 22 Let c(f) = 169637*f + 169638. What is c(-1)? 1 Let o(s) = -s**3 - 77*s**2 - 83*s - 523. Determine o(-76). 9 Let h(j) = -j**3 + 639*j**2 - 6923*j + 5. Determine h(11). -160 Let r(t) = 627*t - 359264. Determine r(573). 7 Let s(v) = 2*v**3 + 59*v**2 + 112*v + 2425. What is s(-29)? 18 Let h(o) = 6*o**3 - 114*o**2 + 46*o - 56. What is h(19)? 818 Let x(l) = 2*l**3 - 43*l**2 + 158*l - 81. Determine x(17). 4 Let m(c) = -13*c**3 + 3104*c**2 + 718*c - 217. Calculate m(239). 22 Let r(k) = 9*k**2 + 1476*k - 24207. What is r(15)? -42 Let o(q) = -43*q + 1766. What is o(52)? -470 Let j(k) = 14*k**3 - 1996*k**2 + 68112*k + 2. What is j(86)? 2 Let w(l) = 10*l**3 - 1668*l**2 - 375*l + 6844. Determine w(167). -3 Let x(y) = 13*y**2 - 1438*y + 8553. What is x(6)? 393 Let x(i) = 35*i**2 - 227*i + 920. What is x(4)? 572 Let b(o) = 645*o - 5012. Determine b(8). 148 Let q(b) = -13*b**2 - 3397*b + 23890. Calculate q(7). -526 Let a(w) = w**2 - 20183*w + 362997. What is a(18)? 27 Let x(d) = -10*d**2 + 988*d + 11112. Give x(109). -6 Let t(a) = 8*a**2 + 155*a + 107. Give t(-28). 2039 Let o(k) = 1127*k + 48581. Calculate o(-43). 120 Let h(k) = -438*k**2 + 527*k + 8313. What is h(5)? -2 Let h(b) = -b**3 - 6*b**2 + 124*b - 276. Calculate h(-15). -111 Let b(i) = 523136*i - 3. Determine b(0). -3 Let o(y) = -y**3 - 40*y**2 - 393*y - 40. Give o(-19). -154 Let y(b) = 7722*b - 185314. Determine y(24). 14 Let g(n) = 2382*n - 131002. Calculate g(55). 8 Let z(g) = -3530*g**3 + 3*g**2 + 151*g + 149. Give z(-1). 3531 Let q(w) = -w**3 + 246*w**2 - 3362*w + 26508. Give q(232). 60 Let g(z) = -89*z**2 - 653*z + 25535. Determine g(-21). -1 Let b(k) = -4192*k - 21187. Determine b(-5). -227 Let w(t) = 7*t**2 - 5165*t + 453423. Determine w(636). -45 Let k(u) = -1360*u**2 + 1786*u - 46. Calculate k(1). 380 Let q(l) = 2789*l - 995666. Calculate q(357). 7 Let k(d) = -274*d + 6373. Calculate k(22). 345 Let a(d) = d**2 - 2621*d - 255226. Calculate a(-94). -16 Let r(i) = 189*i**3 - 1702*i**2 - 125*i + 1236. What is r(9)? 30 Let h(z) = -8565*z + 6449447. Determine h(753). 2 Let v(n) = -93*n**2 - 1255*n + 28452. Determine v(12). 0 Let a(j) = 1653*j - 165198. What is a(100)? 102 Let z(x) = -2*x**2 + 23*x + 2067. Give z(37). 180 Let w(q) = -149*q**2 - 889*q + 299. Calculate w(-6). 269 Let r(x) = -x**3 + 1507*x**2 + 19793*x - 50178. What is r(1520)? -18 Let g(k) = -k**2 + 2382*k + 35963. Determine g(-15). 8 Let f(a) = -45036*a - 1080896. Determine f(-24). -32 Let l(y) = 2*y**3 + 703*y**2 + 3498*y + 19. What is l(-5)? -146 Let y(c) = -2619*c - 39841. Calculate y(-15). -556 Let t(i) = -i**3 + 19*i**2 + 1550*i + 110. Determine t(50). 110 Let l(r) = -14*r**2 + 348*r + 75. Determine l(25). 25 Let y(c) = -c**3 - 27*c**2 + 1805*c + 24. What is y(-58)? -382 Let v(r) = -116878*r + 11570905. What is v(99)? -17 Let r(t) = -t**3 - 46*t**2 + 42*t - 61. What is r(-47)? 174 Let f(m) = 2*m**2 - 8503*m + 33995. Calculate f(4). 15 Let c(f) = 31892*f + 1052435. Determine c(-33). -1 Let j(m) = -22*m**3 - 316*m**2 + 942*m - 799. What is j(-17)? -51 Let u(c) = c**3 + 28*c**2 + 12*c + 86. Calculate u(0). 86 Let c(s) = -s**3 + 13*s**2 - 4223*s + 37682. Calculate c(9). -1 Let s(n) = 170*n**2 + 1111*n + 2222. What is s(-2)? 680 Let s(c) = -c**3 - 259*c**2 + 1080*c - 105. Calculate s(4). 7 Let o(h) = -h**3 - 676*h**2 - 24277*h - 1237. Calculate o(-38). 17 Let a(b) = -10*b**2 - 1404*b + 12807. What is a(-149)? -7 Let r(s) = s**2 - 111*s + 651. What is r(9)? -267 Let j(k) = -46*k**3 + 22*k**2 + 19*k - 3. What is j(-1)? 46 Let s(v) = -3*v**2 + 967*v - 11159. Give s(12). 13 Let d(n) = -n**3 - 14*n**2 - 10*n - 14. Give d(-18). 1462 Let a(r) = -26*r**2 - 226*r + 586. Give a(-12). -446 Let y(k) = -8*k**3 + 10*k**2 - 5*k + 32. Calculate y(6). -1366 Let t(j) = -144*j + 431. What is t(9)? -865 Let h(q) = -q**3 + 255*q**2 - 735*q - 5282. What is h(252)? 10 Let n(d) = 1375*d + 14774. What is n(-13)? -3101 Let n(o) = 33*o**3 - 36*o**2 - 1071*o - 1038. Determine n(-1). -36 Let c(s) = s**2 + 1491*s + 35991. Give c(-25). -659 Let x(o) = 695*o + 335630. Give x(-483). -55 Let z(f) = -4*f**2 - 1668*f - 11620. What is z(-7)? -140 Let l(k) = -582*k + 4603. Calculate l(8). -53 Let h(s) = 6*s**2 - 239*s + 313. Determine h(4). -547 Let b(w) = -2*w**2 - 1464*w + 4357. Determine b(3). -53 Let p(v) = v**3 + 42*v**2 + 246*v - 6336. What is p(9)? 9 Let l(f) = -2*f**3 + 477*f**2 + 180*f + 14156. Give l(239). 55 Let d(a) = 111428*a - 13928508. Give d(125). -8 Let f(j) = 1908541*j - 1908542. Give f(1). -1 Let o(p) = 230*p + 8057. Calculate o(-24). 2537 Let s(i) = i**3 + 98*i**2 + 588*i + 1828. Determine s(-92). -1484 Let s(t) = 15683*t - 78519. What is s(5)? -104 Let d(w) = 3*w**3 + 2*w**2 - 177*w - 610. Give d(-4). -62 Let h(i) = -i**2 - 120*i - 2863. Give h(-92). -287 Let c(v) = 2*v**2 + 1490*v + 4490. Determine c(-3). 38 Let j(i) = 70*i**2 + 741*i + 91. Give j(-10). -319 Let o(w) = 3982*w + 891966. Determine o(-224). -2 Let u(p) = 2*p**2 - 2000*p + 342076. Calculate u(219). -2 Let i(b) = -10284*b - 2787043. Give i(-271). -79 Let o(u) = u**2 + 85*u - 8226. Determine o(56). -330 Let q(m) = -m**2 - 228*m + 1725. What is q(-235)? 80 Let w(l) = 16*l**3 - 2261*l**2 + 633*l + 10152. Determine w(141). 0 Let k(j) = -1232*j + 9587. What is k(8)? -269 Let p(o) = -o**3 - 52*o**2 + 509*o + 39645. Calculate p(-39). 21 Let u(i) = -8*i**2 + 2065*i + 10281. What is u(263)? 24 Let r(i) = -235093*i + 4701896. Calculate r(20). 36 Let t(m) = -868*m - 27700. Determine t(-31). -792 Let i(v) = v**3 + 133*v**2 - 1740*v - 22472. Calculate i(-144). -8 Let p(r) = 147*r**3 - 2*r**2 - 339*r + 694. What is p(2)? 1184 Let z(s) = 109605*s - 1644053. Determine z(15). 22 Let w(f) = -549*f - 323356. Determine w(-589). 5 Let k(i) = 5*i**3 - 25*i**2 - 210*i + 236. Determine k(1). 6 Let h(p) = 158*p**2 - 277*p - 278. Calculate h(-1). 157 Let c(f) = 9*f**2 + 351*f + 2227. Give c(-8). -5 Let m(p) = -5008*p - 235349. Calculate m(-47). 27 Let f(j) = -j**2 + 27*j + 1. What is f(18)? 163 Let i(l) = -l**3 + 27*l**2 + 53*l - 19. Determine i(29). -164 Let d(j) = -j**3 - 164*j**2 - 3006*j - 440. What is d(-143)? -11 Let a(f) = 45*f + 8144. Determine a(-152). 1304 Let a(p) = -4*p**2 + 85*p - 484. Calculate a(27). -1105 Let w(f) = f**2 - 10793*f - 162072
{ "pile_set_name": "DM Mathematics" }
5*u. What is the highest common factor of u and 21? 7 Let z(h) = h - 1. Let b(f) = f**2 - 40*f + 15. Let l(u) = -b(u) - 6*z(u). Let d be l(10). What is the greatest common divisor of 33 and d? 33 Let m(x) = -9*x**2 - 3*x**2 + 13*x**2 + 4*x. Let v(q) = q - 12. Let g be v(0). Let y be m(g). Calculate the highest common divisor of 12 and y. 12 Let f be (0 + -3 + 4)*0. Suppose -14*b + 12*b + 432 = f. Let r = -48 + 72. What is the highest common factor of r and b? 24 Let v(s) = -s**2 - 6*s + 60. Let k be v(-9). What is the highest common divisor of k and 33? 33 Let j be (8/26)/(-2) - 1182/(-78). Suppose -2*v = -5*v + 6. Let z be 30 + v + (-2)/1. Calculate the greatest common factor of z and j. 15 Let b(y) = -y**3 - 4*y**2 - 8*y - 6. Let a be b(-6). Calculate the highest common factor of 152 and a. 38 Suppose -y = 5*z - 1, -6 - 19 = -5*y - 5*z. Let l be y/(-8) + (-8 - (-630)/8). What is the highest common factor of 14 and l? 14 Let x(v) = -4*v - 4. Let q be x(-4). Let n be (-38)/(-14) + 12/42. Suppose -n*u + 4 = -i - 1, -2*i + u = -5. What is the greatest common divisor of i and q? 4 Suppose -r + 0*r = -3. Let k be (57 + 1 + 3)/1. Suppose 66*i - k*i = 60. What is the greatest common divisor of i and r? 3 Let y(r) = 31*r + 80. Let m be y(0). Let v(d) = -20*d. Let h be v(-2). What is the greatest common divisor of m and h? 40 Let h(j) = 2*j**2 + 16*j + 16. Suppose 0 = -11*y + 6*y - 60. Let z be (-18)/4*(-32)/y. Let s be h(z). What is the greatest common factor of 14 and s? 14 Let i = -54 + 73. Suppose -15 + i = 4*p. What is the highest common divisor of 4 and p? 1 Suppose 68 = 23*f - 6*f. Calculate the greatest common factor of 1 and f. 1 Let q(h) = 29*h - 7. Let w = -12 + 15. Let s be q(w). Calculate the greatest common factor of 32 and s. 16 Let h = -6 - -15. Suppose 0 = -v + 5, -4*n + 3*v = -7*n + 24. Suppose 0 = -5*p, n*l = p + 26 + 28. Calculate the highest common divisor of h and l. 9 Let a(n) = 47*n + 105. Let l(h) = -16*h - 35. Let s(c) = -6*a(c) - 17*l(c). Let b be s(-5). What is the greatest common divisor of 165 and b? 15 Suppose -7*m + 2721 = 313. What is the highest common factor of m and 8? 8 Suppose 3*o - 22 = -64. Let y(h) = -2*h - 17. Let x be y(o). Calculate the greatest common divisor of x and 22. 11 Let t(u) = -u**3 - 33*u**2 - u + 67. Let l be t(-33). Calculate the highest common factor of 575 and l. 25 Suppose 0 = 77*x - 83*x + 96. Let l(o) = -2*o - 2. Let q be l(-2). Suppose -b - 40 = -q*b. What is the highest common factor of b and x? 8 Suppose 121*s - 125*s = -200. Calculate the greatest common factor of 30 and s. 10 Let n = 9 + -15. Let m(b) = -b**2 - 7*b + 7. Let z be m(n). Suppose 3*a + 4*c - 39 = 0, -a - z = -2*a + 4*c. Calculate the highest common divisor of 13 and a. 13 Let f = 197 + -107. Suppose -a - 3*x + x = 1, 2*a = x + 23. Calculate the highest common divisor of a and f. 9 Let r be (56/(-20))/7*-400. Let z = -3 - -63. Suppose -4*s = -s - z. What is the greatest common divisor of s and r? 20 Suppose 0*c - 4*c = -240. Let a be 1470/441*(-36)/(-10). Calculate the highest common divisor of c and a. 12 Let w be ((-2)/(6/11))/(((-299)/117)/23). Suppose 4*b + 5*z - 196 = 0, -2*z + 146 = 3*b + 2*z. Let j = b - 32. Calculate the highest common divisor of w and j. 11 Suppose 0 = -80*c + 82*c - 3*a - 95, 2*a = -4*c + 214. What is the greatest common factor of c and 13? 13 Let h = -74 - -77. Suppose -4*v - k = -173, h*k + 46 + 51 = 2*v. Calculate the highest common factor of 484 and v. 44 Let g be (25/3)/((4/2)/192). Suppose 0 = -3*n + 13*n - g. What is the greatest common factor of n and 32? 16 Let k(j) = j + 19. Let h be k(33). Calculate the greatest common factor of 8 and h. 4 Suppose -3*a + 16 = -0*v + 4*v, 0 = -4*a + 2*v + 36. Let q be 4/a + (-63)/(-2). Suppose o - q = -o. Calculate the highest common divisor of 16 and o. 16 Suppose p + 88 = 5*x, 6*p = 8*p - 4. Suppose -3*f + 58 = -b - 208, 3*b - 12 = 0. What is the highest common factor of x and f? 18 Let l = -9 + 17. Let x be (-62)/(-8) + 2/l. Suppose -7*a + 11*a = x. What is the greatest common divisor of a and 22? 2 Let i = 849 - 765. What is the greatest common factor of i and 228? 12 Suppose -y = y - 84. Let q(o) = -6*o**3 - 5*o**2 - 4*o - 3. Let w be q(-3). Let z be 0 + (-43)/(-3) - 42/w. What is the highest common divisor of y and z? 14 Let b = 11 - 9. Suppose 5*h - p - 421 = 0, -h + 69 = b*p - 6*p. What is the greatest common factor of 34 and h? 17 Let n = -28 - -36. Suppose -n*w + 580 - 20 = 0. What is the greatest common factor of w and 14? 14 Let k be 2*(-2 + 0)*20349/(-102). What is the highest common divisor of k and 76? 38 Let q be (3 + 17)/5 - -48. What is the greatest common divisor of q and 26? 26 Suppose f + 5 = 13. Let n be (f/(-10))/(2/(-10)). Let q(i) = 11*i - 483. Let z be q(44). Calculate the greatest common factor of z and n. 1 Suppose 0 = 3*i - 9 + 6. Let z be (-27)/((-21)/12 + i). Let n = z - 26. Calculate the highest common divisor of n and 25. 5 Suppose -2*x + 3*l = 2*l - 96, 233 = 5*x + l. Let p = x + -32. What is the highest common factor of 10 and p? 5 Let b(a) = a**3 + 8*a**2 + 9*a + 18. Let f be b(-7). Let j(g) = -g**3 + 6*g**2 - 6*g + 16. Let t be j(f). Calculate the highest common factor of 12 and t. 12 Suppose 33 + 147 = 3*a. Let p be (9/4)/(9/a). What is the greatest common divisor of p and 15? 15 Let h be 32/(-48) + 17/3. Suppose 9 = 6*g - h*g. What is the greatest common divisor of 9 and g? 9 Let m be 39/(2/((-120)/(-45))). Suppose -2*k - p = -157, -6*k + 386 = -k - 4*p. Calculate the highest common divisor of k and m. 26 Let s be 7 - 1 - 7/7. Suppose -3*k + 249 = 5*r, 5*k - 88 = -s*r + 167. Let u = -15 + 21. What is the greatest common divisor of u and r? 6 Suppose -3*s = 3*s - 90. Let r(k) = -k**2 + 16*k - 14. Let b be r(s). Calculate the highest common divisor of b and 7. 1 Let f = -254 - -276. Suppose -12 = 5*p - 147. Let r = p - f. What is the greatest common factor of 10 and r? 5 Suppose -4*v + 4 = 0, -5*v + 130 = p - 6*p. Let o = p + 52. Let a = o - 21. What is the highest common divisor of 30 and a? 6 Suppose 0 = -5*q + 47 + 33. Calculate the greatest common divisor of q and 28. 4 Let u(w) = -13*w**2 - 2 + 2*w**2 - 5*w - 2*w**3 + 4*w**2 - 9*w**2. Let p be u(-8). Calculate the greatest common factor of p and 114. 38 Let k(y) be the first derivative of 2*y**3/3 + 2*y**2 + 5*y + 4. Let f be k(-4). Let r = 24 - f. Calculate the greatest common divisor of r and 9. 3 Suppose 0 = 53*y - 1039 - 551. Suppose 0 = 7*m - 3*m - 240. What is the greatest common divisor of y and m? 30 Let w(k) = 73*k + 15. Let l(f) = 36*f + 7. Let a(u) = 5*l(u) - 2*w(u). Let j be a(7). Calculate the greatest common divisor of j and 27. 27 Suppose c - 7*u + 4*u - 66 = 0, -c + 60 = 3*u. Let d = 38 - 29. Calculate the greatest common factor of c and d. 9 Let x be 13/11 - (-26)/(-143). Let c be -3*(0 - 1)/x. Calculate the greatest common divisor of 4 and c. 1 Let k(u) = -7 - 45*u + 89*u - 45*u. Let z be k(-5). Let j = z - -14. What is the greatest common factor of 12 and j? 12 Let x(s) = s**3 - 3*s**2 + 28*s - 6. Let n be x(9). Calculate the greatest common divisor of 24 and n. 12 Let j(q) = -q**3 - 5*q**2 + 5*q - 20. Let z be j(-6). Let l be z/(-35) - ((-38)/5 - 0). What is the greatest common factor of 64 and l? 8 Let p = 227 + -212. What is the highest common divisor of p and 135? 15 Let u = 69 - 0. Suppose 0 = 2*a + 20*x - 17*x - 98, 3*a - 3*x - 132 = 0. What is the highest common factor of a and u? 23 Suppose 4*h = f + 154, f - 198 = -5*h + 5*f. Let s(m) = m**3 - m + 48. Let u be s(0). Let b = u + -29. What is the highest common factor of h and b? 19 Let m be 2/(-4) - 4125/(-66). What is the highest common divisor of 6 and m? 2 Suppose 75*s - 57155 = 168445. What is the highest common divisor of s and 94? 94 Let j(i) = 4*i. Let b be j(-3). Let u be (40/3)/((-8)/b). What is the greatest common factor of u and 220? 20 Suppose -3*i + 11 + 7 = 0. Suppose 679 = 77*d - 1631. What is the highest common factor of d and i? 6 Let q be ((-2280)/(-150))/(6/75). What is the highest common divisor of q and 152? 38 Suppose -10*i + 6*i - 4*m = -1048, 3*i - 2*m = 766. What is the greatest common factor of i and 12? 6 Let b = 15 + -19. Let m be (84/9)/(b/(-6)). Calcu
{ "pile_set_name": "DM Mathematics" }
m {v: 2, m: 1}. 1/3 What is prob of sequence run when three letters picked without replacement from {u: 1, r: 1, n: 3}? 1/20 Three letters picked without replacement from bbbggbbbbbbbbggbbbb. What is prob of sequence bbg? 140/969 What is prob of sequence rb when two letters picked without replacement from {b: 1, r: 2}? 1/3 What is prob of sequence dbb when three letters picked without replacement from {l: 4, d: 2, b: 3, x: 6}? 2/455 Two letters picked without replacement from {t: 2, q: 10}. What is prob of sequence tq? 5/33 Three letters picked without replacement from {g: 2, y: 2, i: 4}. Give prob of sequence igg. 1/42 Calculate prob of sequence ye when two letters picked without replacement from fiyfyighfeffhii. 1/105 What is prob of sequence xzw when three letters picked without replacement from {z: 1, x: 1, p: 1, g: 1, w: 1}? 1/60 Calculate prob of sequence rnrr when four letters picked without replacement from nirn. 0 Four letters picked without replacement from {l: 2, e: 10, i: 3, a: 1, q: 3}. What is prob of sequence eqlq? 5/3876 Two letters picked without replacement from cucp. What is prob of sequence pc? 1/6 Two letters picked without replacement from hjyjyyyhy. What is prob of sequence jh? 1/18 Three letters picked without replacement from ttwxbwtxxwp. What is prob of sequence txp? 1/110 Two letters picked without replacement from fxxnxnxxxx. Give prob of sequence nx. 7/45 Three letters picked without replacement from {f: 1, y: 1, g: 1, l: 2, w: 1, d: 2}. What is prob of sequence ldd? 1/84 What is prob of sequence ppp when three letters picked without replacement from {u: 14, p: 4}? 1/204 Two letters picked without replacement from {w: 2, a: 1, o: 1, h: 1, k: 1, z: 1}. Give prob of sequence zk. 1/42 Four letters picked without replacement from ssssssskssssksk. Give prob of sequence skks. 11/455 What is prob of sequence kj when two letters picked without replacement from {k: 3, d: 1, i: 2, j: 3, q: 1}? 1/10 Four letters picked without replacement from {s: 3, p: 6, v: 3, h: 1}. Give prob of sequence hsvv. 3/2860 What is prob of sequence pypp when four letters picked without replacement from {y: 5, p: 8}? 14/143 What is prob of sequence llz when three letters picked without replacement from {b: 7, j: 2, e: 5, l: 2, z: 4}? 1/855 Calculate prob of sequence hvh when three letters picked without replacement from vvhhh. 1/5 What is prob of sequence sws when three letters picked without replacement from swwswwsswwwswwswwww? 65/969 Two letters picked without replacement from rrrrrrrrmrrbr. What is prob of sequence bm? 1/156 Calculate prob of sequence xy when two letters picked without replacement from {y: 11, l: 2, x: 1}. 11/182 Two letters picked without replacement from {d: 9, p: 4, f: 3}. What is prob of sequence pf? 1/20 Two letters picked without replacement from {o: 6, r: 4, t: 3, z: 1}. Give prob of sequence oo. 15/91 What is prob of sequence zc when two letters picked without replacement from {t: 2, e: 6, x: 2, c: 3, z: 6, v: 1}? 9/190 Calculate prob of sequence da when two letters picked without replacement from {z: 5, a: 10, d: 1, o: 1, p: 3}. 1/38 Four letters picked without replacement from {q: 1, d: 1, j: 2}. What is prob of sequence jdqj? 1/12 What is prob of sequence cpml when four letters picked without replacement from {p: 7, m: 1, c: 6, l: 6}? 7/3230 Two letters picked without replacement from {z: 4, m: 3, h: 1, y: 2, v: 1, k: 1}. What is prob of sequence kv? 1/132 Calculate prob of sequence kk when two letters picked without replacement from kxxkkkx. 2/7 Three letters picked without replacement from lcdddkv. Give prob of sequence kcd. 1/70 Three letters picked without replacement from {r: 2, n: 8, b: 9}. What is prob of sequence rbn? 8/323 What is prob of sequence hct when three letters picked without replacement from ttch? 1/12 Two letters picked without replacement from {k: 2, h: 1, a: 2}. What is prob of sequence ak? 1/5 Four letters picked without replacement from {a: 1, p: 2, g: 2, m: 1}. Give prob of sequence mgga. 1/180 Two letters picked without replacement from {k: 2, l: 2}. Give prob of sequence lk. 1/3 Three letters picked without replacement from {u: 1, w: 2, d: 1}. Give prob of sequence wwd. 1/12 Two letters picked without replacement from kxqxkkqqkxqqqxrkqk. What is prob of sequence kx? 4/51 Two letters picked without replacement from {k: 3, h: 1}. Give prob of sequence kh. 1/4 What is prob of sequence cl when two letters picked without replacement from {b: 6, c: 1, r: 11, l: 1, i: 1}? 1/380 What is prob of sequence os when two letters picked without replacement from {o: 3, v: 4, s: 5}? 5/44 Three letters picked without replacement from {b: 1, m: 1, h: 1, d: 5, n: 1}. Give prob of sequence bnm. 1/504 Two letters picked without replacement from {z: 4, f: 1, m: 4, r: 1}. Give prob of sequence zr. 2/45 Calculate prob of sequence oo when two letters picked without replacement from {o: 9, g: 4, l: 6}. 4/19 What is prob of sequence eyye when four letters picked without replacement from {e: 10, y: 2, v: 3}? 1/182 Calculate prob of sequence iu when two letters picked without replacement from ivnuueb. 1/21 Calculate prob of sequence ee when two letters picked without replacement from eehhhhh. 1/21 Three letters picked without replacement from nussxssjjuusuuux. Give prob of sequence ssj. 1/84 Two letters picked without replacement from {o: 2, j: 7, r: 6}. Give prob of sequence oj. 1/15 Three letters picked without replacement from jwajyoyd. What is prob of sequence jja? 1/168 What is prob of sequence jj when two letters picked without replacement from {j: 4}? 1 Four letters picked without replacement from llllllllllxlxx. What is prob of sequence lxll? 45/364 Calculate prob of sequence cvee when four letters picked without replacement from {c: 4, y: 5, f: 1, v: 1, e: 4}. 2/1365 Calculate prob of sequence puu when three letters picked without replacement from pppuuuppappppppp. 3/140 What is prob of sequence zzbz when four letters picked without replacement from {b: 3, z: 9}? 7/55 Four letters picked without replacement from xxaaaxaaxxxxa. What is prob of sequence xaxx? 21/286 Four letters picked without replacement from lzflsllzclfts. What is prob of sequence zszl? 1/858 Two letters picked without replacement from {r: 2, w: 17}. Give prob of sequence wr. 17/171 Two letters picked without replacement from {z: 16, d: 4}. Give prob of sequence zd. 16/95 Calculate prob of sequence kk when two letters picked without replacement from {k: 6, z: 3, s: 4}. 5/26 What is prob of sequence bg when two letters picked without replacement from gbbnb? 3/20 Calculate prob of sequence sz when two letters picked without replacement from {b: 7, s: 2, z: 2, t: 1}. 1/33 Three letters picked without replacement from kkkckckkkkkk. Give prob of sequence cck. 1/66 Calculate prob of sequence rgag when four letters picked without replacement from {c: 9, r: 1, a: 4, v: 2, g: 3}. 1/3876 Four letters picked without replacement from {e: 1, f: 5, a: 6, o: 6}. Give prob of sequence oaoo. 1/102 Calculate prob of sequence cg when two letters picked without replacement from {r: 2, c: 2, g: 1, v: 2, n: 1}. 1/28 Three letters picked without replacement from {u: 1, v: 1, s: 1}. Give prob of sequence vsu. 1/6 Three letters picked without replacement from pppgpgpppgpppg. What is prob of sequence pgp? 15/91 Calculate prob of sequence bqbn when four letters picked without replacement from {b: 3, d: 6, n: 1, c: 2, q: 1}. 1/2860 Two letters picked without replacement from {t: 1, y: 8, s: 10}. What is prob of sequence ss? 5/19 Calculate prob of sequence mtw when three letters picked without replacement from utlntwm. 1/105 Two letters picked without replacement from gdgddgdggdddddggggd. Give prob of sequence dg. 5/19 Three letters picked without replacement from llllll. Give prob of sequence lll. 1 Two letters picked without replacement from apaappppapap. What is prob of sequence pa? 35/132 Calculate prob of sequence wo when two letters picked without replacement from {g: 1, w: 1, k: 1, o: 2}. 1/10 What is prob of sequence ii when two letters picked without replacement from {i: 5, a: 6, c: 1, b: 4}? 1/12 Calculate prob of sequence hzb when three letters picked with
{ "pile_set_name": "DM Mathematics" }
n two letters picked without replacement from {z: 2, k: 1}. 1/3 Two letters picked without replacement from uppppppuuuppup. What is prob of sequence up? 45/182 What is prob of sequence vvv when three letters picked without replacement from vrvrrvrvrb? 1/30 What is prob of sequence ge when two letters picked without replacement from {w: 1, e: 3, c: 1, g: 4, m: 1, x: 2}? 1/11 Two letters picked without replacement from {s: 1, w: 2, g: 2, v: 1, m: 2}. What is prob of sequence wv? 1/28 Calculate prob of sequence drd when three letters picked without replacement from ddddddddddddddddrd. 1/18 Calculate prob of sequence bybo when four letters picked without replacement from bzogzeooyzobyg. 2/3003 Calculate prob of sequence tqd when three letters picked without replacement from {t: 1, d: 11, r: 6, q: 1}. 11/5814 Three letters picked without replacement from avapyyyvyymayyyyvmy. Give prob of sequence mym. 10/2907 Three letters picked without replacement from {g: 3, p: 10, o: 2}. Give prob of sequence poo. 2/273 Three letters picked without replacement from {p: 2, v: 1, z: 7}. Give prob of sequence vpz. 7/360 Calculate prob of sequence gd when two letters picked without replacement from {g: 4, d: 7}. 14/55 Three letters picked without replacement from {z: 4, i: 2, s: 1, u: 3}. What is prob of sequence zzu? 1/20 Two letters picked without replacement from vzczxyb. What is prob of sequence cv? 1/42 Four letters picked without replacement from {c: 6, u: 4, b: 4}. Give prob of sequence bcuu. 12/1001 Calculate prob of sequence xnz when three letters picked without replacement from {j: 2, z: 8, x: 5, n: 4}. 80/2907 Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm? 1 Calculate prob of sequence xg when two letters picked without replacement from {h: 4, x: 1, r: 3, g: 5}. 5/156 Three letters picked without replacement from sseses. Give prob of sequence sse. 1/5 What is prob of sequence zj when two letters picked without replacement from {z: 4, j: 3}? 2/7 What is prob of sequence xxzy when four letters picked without replacement from zzzyxzyyzzyyzzy? 0 What is prob of sequence qgn when three letters picked without replacement from {g: 8, s: 2, n: 5, k: 2, q: 1}? 5/612 What is prob of sequence qq when two letters picked without replacement from qqqqqqhqqqqhq? 55/78 Four letters picked without replacement from vvkvkkvvvkkvkkvvvkvk. Give prob of sequence vvvv. 22/323 Four letters picked without replacement from {z: 11, g: 9}. Give prob of sequence gzgz. 22/323 Calculate prob of sequence eglx when four letters picked without replacement from gxebgguxggllguxbgeg. 1/969 Three letters picked without replacement from itwlillllilitvw. Give prob of sequence ttl. 2/455 What is prob of sequence xsns when four letters picked without replacement from {x: 4, s: 4, n: 11}? 11/1938 Calculate prob of sequence mqmq when four letters picked without replacement from {m: 4, t: 3, q: 5}. 2/99 Two letters picked without replacement from iiii. What is prob of sequence ii? 1 Four letters picked without replacement from geueugeguuueu. What is prob of sequence gugu? 3/286 What is prob of sequence vv when two letters picked without replacement from {e: 5, v: 8}? 14/39 Two letters picked without replacement from {n: 2, p: 1}. What is prob of sequence nn? 1/3 What is prob of sequence hw when two letters picked without replacement from {w: 3, q: 1, y: 5, h: 4}? 1/13 Two letters picked without replacement from {r: 2, b: 2, d: 7}. What is prob of sequence bb? 1/55 Calculate prob of sequence zvg when three letters picked without replacement from vvzvbvzgg. 2/63 Three letters picked without replacement from {k: 1, n: 1, z: 1, s: 4, t: 1}. What is prob of sequence ssz? 1/28 Three letters picked without replacement from fxsfqfn. What is prob of sequence ffs? 1/35 Calculate prob of sequence mmww when four letters picked without replacement from {m: 9, w: 7, o: 2}. 7/170 What is prob of sequence ygi when three letters picked without replacement from {i: 1, g: 1, u: 1, y: 2}? 1/30 Calculate prob of sequence tzji when four letters picked without replacement from jzjizt. 1/90 What is prob of sequence kd when two letters picked without replacement from qkkkkduq? 1/14 Three letters picked without replacement from {h: 1, l: 2}. Give prob of sequence lhl. 1/3 Two letters picked without replacement from {g: 3, c: 2, e: 1, d: 7, h: 1}. What is prob of sequence cg? 3/91 Four letters picked without replacement from hepdyyqyedppeh. What is prob of sequence qppy? 3/4004 Three letters picked without replacement from oouurnrkrakn. What is prob of sequence nko? 1/165 Four letters picked without replacement from {j: 3, u: 6, e: 6}. Give prob of sequence juej. 3/455 Calculate prob of sequence md when two letters picked without replacement from rgqmd. 1/20 Two letters picked without replacement from {o: 4, u: 1, q: 2, a: 3, x: 4}. Give prob of sequence qo. 4/91 Three letters picked without replacement from {g: 7, f: 2}. What is prob of sequence gff? 1/36 Two letters picked without replacement from gkkkkgggggkgk. Give prob of sequence kg. 7/26 Calculate prob of sequence aaaz when four letters picked without replacement from awwaawzz. 1/140 Two letters picked without replacement from {z: 4}. Give prob of sequence zz. 1 Three letters picked without replacement from {j: 9, i: 2, k: 7}. Give prob of sequence kjk. 21/272 Four letters picked without replacement from {h: 1, f: 5, i: 1, j: 2, s: 3}. Give prob of sequence jifh. 1/1188 Two letters picked without replacement from {f: 1, u: 1, j: 2, r: 1, t: 1, s: 2}. What is prob of sequence jj? 1/28 What is prob of sequence tttt when four letters picked without replacement from {f: 6, a: 2, t: 10}? 7/102 Calculate prob of sequence moo when three letters picked without replacement from rmggmoomrmgrmgm. 2/455 Three letters picked without replacement from tttttcwtttwtct. Give prob of sequence wcc. 1/546 Calculate prob of sequence pkq when three letters picked without replacement from kkkkkqpkkkk. 1/110 What is prob of sequence bbke when four letters picked without replacement from {b: 2, f: 1, e: 2, h: 4, k: 1, u: 2}? 1/2970 What is prob of sequence xx when two letters picked without replacement from xfxxxf? 2/5 Three letters picked without replacement from {m: 2, f: 4, l: 3}. What is prob of sequence fmf? 1/21 What is prob of sequence siim when four letters picked without replacement from ssiccmmsims? 1/330 Three letters picked without replacement from ptprrpxprrppx. What is prob of sequence xxp? 1/143 What is prob of sequence nnnn when four letters picked without replacement from nnnn? 1 Four letters picked without replacement from {d: 7, u: 6}. What is prob of sequence duud? 21/286 Calculate prob of sequence cc when two letters picked without replacement from fcffffffcfffcffcff. 2/51 Two letters picked without replacement from azuacsgu. What is prob of sequence ua? 1/14 What is prob of sequence leel when four letters picked without replacement from llllellle? 1/36 Four letters picked without replacement from rswwdbwbrswwrsrww. What is prob of sequence bwds? 1/1360 Three letters picked without replacement from idwwuuiid. Give prob of sequence wwd. 1/126 Calculate prob of sequence bd when two letters picked without replacement from kbkkkkkdbkbbkk. 2/91 What is prob of sequence fv when two letters picked without replacement from zzvcttftztvffvcw? 3/80 Four letters picked without replacement from qqwyqwwybbbqwy. Give prob of sequence bwqw. 6/1001 Two letters picked without replacement from {b: 8, e: 2, y: 8}. Give prob of sequence bb. 28/153 What is prob of sequence gj when two letters picked without replacement from {g: 2, p: 1, r: 1, y: 1, h: 1, j: 1}? 1/21 Four letters picked without replacement from totoooottjoj. Give prob of sequence ooto. 4/99 Three letters picked without replacement from dwzgwzjzzzzw. Give prob of sequence zzz. 1/11 Four letters picked without replacement from uffnfuufulnff. Give prob of sequence fulf. 1/143 Calculate prob of sequence chq when three letters picked without replacement from qfhfqcfqfh. 1/120 Four letters picked without replacement from rgrrrrg. Give prob of sequence grgr. 1/21 Three letters picked without rep
{ "pile_set_name": "DM Mathematics" }
6*r + (-3 - 3 + 3)*(-3*r + 6*r - r)) in the form s + k*r and give k. 189 Express -550*g**2 + 2391 + 344*g - 344*g - 2388 as c*g + u + d*g**2 and give u. 3 Express 130*d - 155*d + 135*d + 147*d - 15 + 49*d in the form c + s*d and give c. -15 Rearrange 2 - 8*t**4 + 512*t**4 - 81*t**3 + 158*t**3 + t - 76*t**3 to n*t**2 + s*t**3 + k + g*t**4 + r*t and give g. 504 Express 1383*m - 692*m - 1242 - 689*m - 227 as j + h*m and give j. -1469 Express 764*l**3 + 105*l + 765*l**3 - 1528*l**3 - 2 + 0 - 2*l**2 as p + g*l**2 + i*l**3 + y*l and give g. -2 Rearrange 667*g + 96*g - 337*g + 452*g to the form h*g + d and give h. 878 Express 58*f**3 - 41*f**3 + 3*f + 9 + 2*f - 15*f**3 - 10*f**2 as v + s*f**3 + u*f + y*f**2 and give v. 9 Rearrange (-2*j + 3*j + j)*(-5 + 3 + 0) - 3*j - 1 + 1 - j - 1 + 1 + (86*j - 1104 + 1104)*(-5 + 18 + 0) to the form x + k*j and give k. 1110 Express (180 - 180 + 10*i)*(128*i + 258*i + 197*i) in the form g*i + v*i**2 + w and give g. 0 Rearrange -5589*f**2 - 1239*f**2 - 3744*f**2 to q*f + o*f**2 + k and give o. -10572 Express (-101*g - 49*g**2 + 101*g)*(-4 - 2 + 31) + (-2*g + 4*g - g)*(-1 + 1 - g) in the form m*g**2 + z + s*g and give m. -1226 Express -9*w**2 - 9*w**2 + 17*w**2 + 17*w + 882 - 13*w - 9*w as z*w + p*w**2 + b and give p. -1 Express 51*g**3 - 67214*g**2 + 2*g**4 + 5 - 2*g - 67212*g**2 + 134423*g**2 in the form f*g**4 + h*g**2 + s*g**3 + c + i*g and give f. 2 Express -44*w - 41*w + 94*w**3 + 83*w - 96*w**3 - 4*w**4 - 1045 in the form b + n*w**3 + x*w**2 + a*w**4 + u*w and give n. -2 Rearrange (4*t - 1 + 9 + 7*t)*((3*t - 4*t + 0*t)*(2*t + 0*t - 4*t) - 2*t**2 + 0*t**2 + 4*t**2) to i*t**2 + d*t + y + g*t**3 and give i. 32 Rearrange 4*w**2 + 1 + 15*w + 14 + 6 - 22 to d*w + s*w**2 + i and give d. 15 Express 10*g**2 + 2*g**3 + 216 + g**4 - 31*g**2 + 19*g**2 - 6*g - 100 in the form v*g**2 + r*g**4 + f*g**3 + h*g + d and give v. -2 Rearrange p**3 + 48*p - 118 - 115 - 119 + 352 - 28*p**2 to b*p**3 + y*p**2 + s + u*p and give y. -28 Rearrange 741 + 680 - 1421 - 18688*o to s + m*o and give m. -18688 Express ((-10 - 4 + 1)*(3*a + a - 2*a) + 1 - 3 - 2 - 2*a + (2 + 0 + 0)*(a + a - 3*a))*(-49 + 6 - 39) as o*a + u and give o. 2460 Rearrange (39*i - 68*i - 22 + 31*i)*(-2 - 2 + 3)*(16*i - 10*i + 34*i) to t + y*i + x*i**2 and give y. 880 Express 3*o + 9*o + 3*o - 2*o + o**4 - 4 + 2*o**3 - 355*o**2 - 16*o in the form i*o**2 + p*o**3 + z*o**4 + j + k*o and give p. 2 Rearrange -649*m - 568*m - 129*m + 2 to the form b*m + h and give h. 2 Express 0 + b + 0 + 3 - 3 - b + 5*b + 2*b - 5*b + (-1 - b + 1)*(1 - 4 + 1) - 6099*b + 2323*b + 2909*b + (-1 + 0 - 1)*(2*b - 3*b + 4*b) as z*b + g and give z. -869 Express (-58*g + 43*g - 59*g)*((0*g + 3*g - g)*(0 - 1 + 3) + 4*g + g - 4*g + 2*g - 2*g - 2*g) as v*g + t*g**2 + x and give t. -222 Express (-1 - 19*c - 23*c + 44*c)*(-1 + 4 + 297*c - 308*c + c**2)*(-1 + c + 1) as j*c**4 + i*c**3 + l*c + g + a*c**2 and give j. 2 Rearrange -86394*b**3 + 19*b**2 - 2*b + 0*b**2 - 2 + 86395*b**3 to the form y*b**2 + h*b + p*b**3 + j and give h. -2 Express -526*y + 4414 - 2205 - 2209 in the form l*y + g and give l. -526 Express 466 - 3*f**3 + 460 + 458 - 52*f + 456 - 1835 in the form u*f**3 + a*f + o + h*f**2 and give a. -52 Express (0*t + 5*t - 4*t)*(0 + 2 - 4) + (14 + 40 + 7)*(0*t + t + 0*t) + 48 - 3*t - 49 - t in the form k*t + z and give z. -1 Express -5*t**2 + t**2 - 3*t - 3*t**2 + 1 - t**2 - 11*t as u*t + j + v*t**2 and give j. 1 Rearrange -159*t**3 + 323*t**3 + 442*t - 167*t**3 - 100*t + 1 + t**2 + 44*t to the form k*t**2 + b + o*t**3 + c*t and give c. 386 Express -2093*r**4 + 466*r**4 + 165*r**4 + (0 + 0 + 1)*(0 + 1 + 0)*(0 - r**4 + 0) in the form h*r + j*r**3 + l + q*r**2 + m*r**4 and give m. -1463 Rearrange 2 + 8*p**4 + 93826*p**3 - 2*p - 93826*p**3 + 31*p**2 to the form z*p**2 + q*p**4 + a + c*p + b*p**3 and give q. 8 Express (4*j - 2*j - 3*j)*(4*j**2 - 8*j**2 + 9*j**2) + (-36 + 36 - 3*j)*(3*j**2 - j + j) in the form i*j + s*j**2 + f + u*j**3 and give s. 0 Rearrange -14 - 26*u**4 + 13 + 14*u**2 + 27*u**2 + 25*u**4 + 9*u**3 to the form l*u**4 + o + p*u**3 + k*u + w*u**2 and give p. 9 Rearrange (0*c + 0*c - 2*c)*((-3*c - 7*c + 5*c)*(3 - 2 - 3) + 3*c - 3*c + c - 76 + 76 + 20*c) to n*c**2 + z*c + u and give n. -62 Express -2*t + t - 2*t - 1998*t**2 + 1978*t**2 in the form r + o*t**2 + j*t and give o. -20 Express (1 - 2*b - 1)*(30 - 30 - 2*b) + 14*b + 3 + 1211*b**2 - 1213*b**2 - b in the form f*b + c*b**2 + k and give c. 2 Express (-2 + 1 + 4)*(-7*m - 5*m - 19*m) + (-m - m + 4*m)*(88 - 54 + 90) in the form w + q*m and give q. 155 Rearrange (1 + 3 - 1)*(6*x**2 - x**2 - 11*x**2)*(-506 + 20*x + 506) to k*x**3 + m*x + c + l*x**2 and give k. -360 Express 11837283 + 11445*i - 11837283 as x + v*i and give v. 11445 Rearrange (3 - 5 + 12)*(809785*u**3 - 4412*u**4 - 809785*u**3) to h*u**2 + a*u + p + q*u**4 + o*u**3 and give q. -44120 Express (3*b**2 - 2*b**2 + b**2)*(-292740638 - 147*b**2 + 292740638) in the form p*b**2 + o*b + r + u*b**4 + t*b**3 and give u. -294 Rearrange (-20 + 12 - 5)*(108 + 115 - 226 - 16*l) to the form n*l + z and give z. 39 Express 4370*r - 9167*r - 5962*r + 557*r in the form g*r + s and give g. -10202 Rearrange 4 - 2*n**2 - 10*n - 2 - 8*n**3 - 16*n - 9*n + 32*n to f + i*n**3 + w*n**2 + t*n and give i. -8 Rearrange (5*b - 3*b - b)*(76*b + 41*b - 37*b + (-1 + 9 - 1)*(3*b + b - 5*b) - 4*b + 3*b + 3*b) to the form q + l*b**2 + a*b and give l. 75 Express 187 + 7*n - 325 + 10*n - 203 - 6*n as w + d*n and give d. 11 Express 2 - 4 + 103*n**2 + 2*n**4 - 103*n**2 - n - 7*n**4 + n**3 as z*n**2 + c + f*n**4 + g*n**3 + r*n and give g. 1 Rearrange 8 - 11 - 32*i**3 - i + 34*i**3 + 2 + 2*i**2 + 0*i**2 - 58*i**4 to the form b*i**3 + g*i**4 + u + d*i**2 + r*i and give g. -58 Express (542 + 1904 - 231 + 512 + 3654)*(4*d - d**3 - 4*d + 6*d**2) in the form y*d + t + s*d**3 + w*d**2 and give w. 38286 Rearrange -5*a**2 + 29*a - 29*a + 5*a**2 - 3*a**2 - a**2 + (-9*a + 6 - 6)*(a - 5*a + 2*a) to the form f + y*a + m*a**2 and give m. 14 Rearrange (2262*x - 1116 + 1116)*(3 - 5 + 3)*(x - 2*x + 0*x) to q*x**2 + y + z*x and give q. -2262 Express (-357 - 425 + z + 679)*(2 + 2 - 6)*(-3*z + 5*z + 20 + 18) in the form x*z + w*z**2 + g and give w. -4 Rearrange -1 + s + 1 + (-20 + 20 + 11*s)*(2 + 2 - 2) + (-19 - 10 + 14)*(-s + 0*s + 2*s) to the form p*s + d and give p. 8 Rearrange -111722*v**2 + 55859*v**2 - 16*v**3 + 55862*v**2 - 17*v**3 + 102*v to the form h*v**3 + x*v + p*v**2 + k and give p. -1 Rearrange (63 + 23998*n - 4862*n + 4510*n - 61 + 2732*n)*(-n - 4*n + 4*n) to the form j*n**2 + x*n + c and give x. -2 Rearrange (4311*o + 126004 - 126004)*(3 - 4 - 3)*(-5 + 3 + 1) to c + r*o and give c. 0 Express -266 + 847 + 26*p - 281 - 258 as b + j*p and give b. 42 Rearrange -828*z + 412*z - z**4 + 43*z**2 + 416*z - 2 to the form n*z**3 + i + u*z + g*z**2 + m*z**4 and give m. -1 Express k**2 + 3*k - 3*k + (3 + 2*k - 3)*(-6*k + k + 3*k) + k**2 - 3*k**2 + 4*k**2 + 3707*k - 28*k**2 + 3640*k - 7278*k as w*k + t*k**2 + o and give w. 69 Rearrange (2*b + b + 0*b)*(-1 - 2 + 1 + (2 - 2 - 2)*(4 - 1 - 1) + 2 + 1 - 1)*(275*b - 32*b - 2716 + 2680) to the form k*b**2 + v + g*b and give k. -2916 Express 133*w**2 + 11 - 7*w + 131*w**2 + 119*w**2 - 534*w**2 + 129*w**2 in the form s*w + t*w**2 + p and give p. 11 Rearrange 5*y**2 + 1 + 4464*y + 4*y**2 - 9052*y + 4474*y to r*y + z*y**2 + w and give r. -114 Express q**2 - 4114 + 2*q**2 + 4115 + 152*q as x*q + h + t*q**2 and give t. 3 Rearrange (-3*s - 4 + 4)*(-14648*s**2 + 4*s - 4*s + 182 - 358 + 176) to j*s**3 + c*s + r*s**2 + w and give j. 43944 Rearrange -6*b - 83*b**2 + 25*b**2 + 0*b + 4*b + 26 + 43*b**2 to i*b**2 + o + d*b and give d. -2 Express (72*n - 51*n - 20*n + 995)*(-2 - 3 + 3)*(-6 + 2 + 2) in the form g*n + v and give g. 4 Rearrange -503*l + 70*l**2 + 35*l**2 - 143*l**2 + 37*l**2 to the form g*l + b + z*l**2 and give z. -1 Rearrange 3535*q - 5 + 5 + 2771*q + 2275*q to m*q + i and give m. 8581 Express -2 - 10*i - 4 + i**2 - 3 - 7 - 1 as f*i**2 + b*i + q and give f. 1 Express ((2 - 1 + 0)*(2*c - 5*c + c) + 23*c - 41*c + 22*c + 10*c - 10*c + 4*c)*(1 - 6 + 6) in the form q + g*c and give g. 6 Express (74*l + 179*l + 456*l)*((-l + 2*l + l)*(2*l**2 + l**2 - 2*l**2) + 8*l**3 + 13*l**3 + 49*l**3) as g*l
{ "pile_set_name": "DM Mathematics" }
- r. Solve 0*w - w = l for w. -2 Let c be ((-696)/3)/(((-775)/50)/31). Solve 0 = 11*v + c - 453 for v. -1 Suppose 1202 = -107*k + 12555 + 18714. Solve 23*y = 327 - k for y. 2 Suppose 3*i = -3*i - 74 + 134. Solve -i*v + 3*v - v = 0 for v. 0 Suppose 0 = -14*t + 552 - 6754. Let v = -435 - t. Solve -7*f = -5*f + v for f. -4 Let r = 120 - 115. Let o(l) = -l**3 + 10*l**2 - 18*l - 15. Let u be o(r). Solve 0 = 3*n + n - u for n. 5 Suppose 2*z + 2*r = -2*z - 10, -5*r - 3 = -z. Let i be -1*(-2 + z + 1). Let c be (102/(-15) - -8)*(-10)/(-6). Solve c*k = k - i for k. -3 Suppose -s = -2*b + 7, -3*b = -2*s - 5 - 6. Let t be 3 + (-1)/b*-3. Suppose 4*q - 16 = -t*q. Solve q*p + 4 = 4*p for p. 2 Let u(x) = 3*x - 39. Let f be u(13). Suppose 4*h + 25 = -5*t, h - t = -f + 5. Solve 4 = -h*r + r for r. 4 Let y = 28 + -16. Let w be (y/(-2))/3 - -5. Suppose -1302*p = -1275*p - 54. Solve 1 = -p*d + w for d. 1 Suppose -3*q - b = -1618, -3*q + 23*b = 21*b - 1606. Let y = -535 + q. Solve y*o = 5 - 8 for o. -1 Let i = -64 - -63. Let c be (12/(-3) - i) + 12. Let z(d) = -2*d**2 + 17*d + 10. Let b be z(c). Solve -w - b = -5 for w. 4 Let c be 320 + -9 - (-182)/(-26). Solve 0 = -35*z + 111*z - c for z. 4 Let g(i) = i**2 + 21*i + 120. Let r be g(-13). Solve 18*p - 22*p + r = 0 for p. 4 Let x be 77/(-21) + 4 - 11/(-3). Suppose -6*y - 5 = -i - 5*y, -x*i + 20 = -5*y. Solve 0 = -i*g + 8 - 3 for g. 1 Suppose -29 + 17 = -4*i. Suppose i*t = 47 - 32. Solve -t*u = -8*u for u. 0 Let f(d) = -8*d + 22. Let l be f(3). Let r(s) = -s**3 + 4*s + 5. Let w be r(l). Solve 0 = 4*c - w*c for c. 0 Suppose 9*b = 46*b - 1628. Suppose 0 = -2*n - 3*l + b, 21*n - 16*n + 5*l = 115. Solve -6*z = -n + 1 for z. 4 Let v(l) = -13*l + 3. Let r be v(0). Suppose 0 = 5*h - 4*d - 28, -h + 9 + r = -4*d. Solve 0 = -o - h + 2 for o. -2 Let n be (30/(-70))/(1/(-21)). Let g(q) = 8 - 4*q - 14 + 4*q + n*q. Let z be g(1). Solve -5 = z*f + 2*f for f. -1 Let g(i) = -i**3 - 3 - 3 - 3 - 15*i**2 + 41*i**2 - 47*i. Let j be g(24). Solve 4*b + 3 = j for b. 3 Let b(v) = 10*v - 3. Suppose -u - 6 = u. Let j be (3 + (-56)/21)*(0 - u). Let s be b(j). Solve 3 - s = -4*z for z. 1 Suppose 0 = -15*o + 10*o + 15. Suppose -3*l = j - 2*j + 38, o*l - 121 = -2*j. Let m = -48 + j. Solve -c = m - 2 for c. -3 Let a = 581 + -587. Let m be 5/(-10)*a + (-1 - 0). Let i = 3 - 2. Solve m*g - 3 - i = 0 for g. 2 Let j(o) = o**2 + 6*o - 10. Let q be j(-8). Suppose -5*d + d = 2*z - 8, z + q = 3*d. Suppose 122*y - 72 = 113*y. Solve 0 = d*c + 2*c - y for c. 2 Suppose 57*w - 3699 = 4623. Solve 0 = -4*h - 130 + w for h. 4 Suppose 4*a + 4*x - 21 - 359 = 0, -a - 6*x = -125. Solve -75 = -2*m - a for m. -7 Let a = -112 + 110. Let i(k) = 9*k + 20. Let q be i(a). Suppose -16*c + q*c = -140. Solve -3*z - c = -z for z. -5 Suppose 113*v - 109*v - 3*d = 25, 3*v - 3*d = 18. Solve v*l = 16*l + 63 for l. -7 Suppose 184*n = 181*n + 12. Suppose -5*g = -4*j + 44, 4 = -n*g + 3*g. Solve -j = 3*a - 15 for a. 3 Suppose 66*t = 71*t + 160. Let c = t + 36. Solve -25 = -d - c*d for d. 5 Let g(c) = -c**3 + 12*c**2 - 4*c - 4. Let x be g(7). Let l = 222 - x. Solve -3*h - l = -0*h for h. -3 Suppose 24*c + 3894 = 13*c. Let d = -347 - c. Solve -5*k = -d*k - 4 for k. -2 Let n(x) = 15 - x + 11 - 6. Let y be n(15). Let d(m) = m**3 - 3*m**2 + 2*m. Let q be d(3). Solve q*k - 1 = y*k for k. 1 Let l(w) = 4*w - 77. Let x be l(20). Suppose -y - 2 = 0, 2*y + 3 = g - x. Solve 2*c + g*c + 12 = 0 for c. -3 Suppose -4*l + 9*l + 5 = 0, 3*l + 378 = 5*q. Let c be (-10)/q + 122/15. Solve -c*g + 13*g = 0 for g. 0 Suppose 199*f - 10416 = 64*f + 8889. Solve -f*h = -87*h - 448 for h. 8 Suppose 90 + 38 = 4*d. Suppose 3*r - 114 = -3*a, -a - d = -r - 0*a. Suppose z + r = 8*z. Solve -i - 4*i = z for i. -1 Suppose -12*m + 1441 = 625 + 672. Solve 0 = 43*g - 31*g - m for g. 1 Let m = -6481 - -6603. Solve m*u - 120*u - 4 = 0 for u. 2 Let j be (-116)/(-14) + 4/(-14). Let o = -1842 + 1848. Solve 0 = o*w - 10*w - j for w. -2 Let i be 11 - (-17 + -5 + -4). Solve -47 + i = -10*y for y. 1 Suppose 29*c = 25*c + 32, 4*c - 14 = 2*s. Solve s*l - 3*l = 30 for l. 5 Let n = 287 - 282. Suppose 5*y + 2*f = 5*f + 5, -17 = 2*y - n*f. Solve -w - 6 = -y*w for w. 2 Let o = 10861 + -10861. Solve -25*m - 86 - 14 = o for m. -4 Suppose -5*s = 10, 75 = -5*j + s + 102. Solve 0 = -j*i + 30*i - 150 for i. 6 Suppose 7 = 3*m - 4*m. Let k = m + 9. Let y be (5 + -1)*k/16*4. Solve -y*i + 3 = -3 for i. 3 Let x be (-20)/8*((-7440)/(-25))/(-8) + 7. Solve -x*k = -110*k + 20 for k. 2 Suppose -215*z = -240*z. Solve -16*x - 21 - 27 = z for x. -3 Let c(u) = -u + 5. Let j be c(-2). Let z(q) be the third derivative of -q**5/60 + 5*q**4/24 + 35*q**3/3 + 11*q**2. Let d be z(11). Solve 0 = -d*m - j - 9 for m. -4 Suppose 45*q - 40*q + 20 = 0. Let l be (6/q)/((-25)/150). Solve l*y - 12*y = -6 for y. 2 Let v = -155 - -199. Let h = v - 34. Solve -13 = 3*x - h for x. -1 Suppose s + 2 = 2*d, 38*s - 23 = -5*d + 36*s. Let j be (6*3/15)/((-27)/(-450)). Solve 0 = -d*n - 2*n + j for n. 4 Let z(j) = -j**3 - 11*j**2 - 733*j - 7211. Let s be z(-10). Solve 14*r = -s*r + 198 for r. 6 Suppose 2*x + 2*a = 42, -446*x + 441*x + 77 = -2*a. Solve -x*r - 38 = -4 for r. -2 Let z(i) = 2*i**2 + 15*i - 44. Let l be z(-10). Let k be ((-2)/l)/(1/(-18)). Solve n = k*n - 25 for n. 5 Suppose 8*u = 4*o + 12*u + 28, u - 53 = 4*o. Let t be 0/(-5 - (-3)/((-9)/o)). Solve t*x = 5*x + 20 for x. -4 Let s = 158 + -151. Let a be ((-4)/(s - 3))/((-2)/6). Solve -a*y = y for y. 0 Let h(q) = q**2 - 23*q + 2. Let m be h(23). Suppose m*l = 42 + 62. Let u be (l - -8)*1/3. Solve 5*c - c = -u for c. -5 Let y(h) = -h**3 + 21*h**2 - 21*h + 23. Suppose -9*x + 85 = -95. Let a be y(x). Suppose 3*l - 7*l + 35 = a*q, 49 = 4*q + 3*l. Solve 5*i - q = 2 for i. 3 Let z(i) = i**3 - 3*i**2 - i + 10. Let n be z(3). Solve 0 = n*o + 31 + 18 for o. -7 Let f(y) be the second derivative of y**5/20 - 5*y**4/4 - 5*y**3/2 - 4*y**2 - 3*y. Let s be f(16). Solve -s*j = -10*j - 10 for j. -5 Suppose 3*d = 92*g - 91*g + 11, -d - 3*g - 13 = 0. Let l be 0*(-2 + 3)/(-1). Suppose l*f + 5*f = 5. Solve -d*z = 3 - f for z. -1 Let n(p) = 2*p - 36. Let o be n(18). Suppose i + 2*q + 2*q = -16, o = 3*i - 4*q - 32. Let s(z) = z**2 - 7*z - 3. Let j be s(8). Solve j*a - a - i = 0 for a. 1 Suppose -l + 33 = 4*d, l + 6*d + 5 - 36 = 0. Solve 0 = -17*j + 14 + l for j. 3 Let b = 16 - 13. Suppose -b*o + 0*o = -6. Let d be -3 - (-15 - -3)/o. Solve -v + d*v - 8 = 0 for v. 4 Let u = 347 + -567. Let f be ((-39)/12*1)/(55/u). Solve 2*p + 9 - f = 0 for p. 2 Suppose a = -a + 20. Suppose -2*b = 4*z - 34, 3*b + 136 = 3*z + 133. Solve z*v - a*v = 20 for v. -5 Let n(m) = -m**2 + 74*m - 325. Let d be n(69). Solve -8*l + 18*l + d = 0 for l. -2 Let z = 7 + -5. Suppose -3*o = -4 - z. Let s be 12/18 - (-2 + 64/24). Solve -o*n + 6 - 4 = s for n. 1 Let n be 276/36 + 2/6 - 4. Suppose -n*v + w + 35 = 4*w, 2*v - 18 = -2*w. Solve 7*t + 5 = v*t for t. 5 Suppose 3*i = -4*g + 12 + 11, 2*g - 19 = -3*i. Let l be (g/3)/((-4)/36*-1). Suppose 2 = -4*j - m, 5*j + 6*m + l = 3*m. Solve j = 4*v + 6 + 2 for v. -2 Let k(o) = o**3 + 5*o**2 + 4*o + 3. Let g be k(-4). Let f(u) = -28*u + 232. Let j be f(8). Suppose -13*d - j*d = -42. Solve g*p + 15 = -d*p for p. -3 Let g be (-22002)/57 - (-1 + -3). Let y = g - -395. Solve -20 = -18*b + y*b for b. 4 Let b be 6/(-10)*13*25175/(-3021). Solve 16 = 27*v - b for v. 3 Suppose 0 = 5*h - 2*s - 6466, 5*h = 12*h + 5*s - 9068. Solve -1304*b + h*b + 60 = 0 for b. 6 Let r be 92/6 + 6/9. Suppose 37 = -4*i - 175*u + 180*u, 0 = -i - 19*u + 254. Solve -3*v - r = -i*v for v. 4 Let z be 6/(-8)*20856/(-711). Solve 24 = -2*r + z for r. -1 Suppose 26 = -3*v + 62. Suppose -164*m + 166*m = 4. Suppose -m = -v*q + 10*q. Solve q = -w - 0*w for w. -1 Let t(w) be the second derivative of w**4/4 - 65*w**3/6 - 8*w**2 + 2*w - 14. Let s be t(22). Solve s*z - 16 = 2 for z. 3 Suppose -k = -v + 4, 0 = v + 4*v + 4*k - 56. Suppose 3*p + p - v = 0. Suppose 4 = w - p*s, 0 = 5*w + 3*s - 30 + 10. Solve 8 = -0*c + w*c for c. 2 Let p = -472 + 472. Suppose -3*s + 6 = 2*s + 3*r, 0 = -3*s + r + 12. Suppose 54 - 48 = 2*d. Solve -4*n + d*n - s = p for n. -3 Let n be 16/120 - 1968/(-90). Let m(c) = -c**3 + 23*c**2 - 18*c - 19. Let y be m(n). Solve y - 24 = 9*s for s. 5 Let w be (-51320)/(-88) + 10
{ "pile_set_name": "DM Mathematics" }
uct of -8 and -28304? 226432 298*426.5 127097 1419176*0 0 -16638.6*-0.14 2329.404 Calculate -198*-2051. 406098 What is the product of -0.53 and -0.0183? 0.009699 Product of 7.4 and -914. -6763.6 Work out 0.1 * 46941. 4694.1 -0.008297*-2 0.016594 What is the product of -7.9617 and 14? -111.4638 Work out 0.02 * 0.0292708. 0.000585416 Calculate -926*220. -203720 -1572834 * 0.3 -471850.2 What is the product of -2 and -0.1806017? 0.3612034 Calculate -4*-617294. 2469176 Calculate -77174*0. 0 Calculate 0.1*-1.63409. -0.163409 Product of -7692 and 0.076. -584.592 What is the product of -15422 and -2? 30844 Multiply -3.64 and 1885. -6861.4 53541 times 65 3480165 1669 times 5 8345 Work out 4534243 * -2. -9068486 What is the product of 10 and -672? -6720 What is -12337.5 times 5? -61687.5 0.1 * -0.11992 -0.011992 What is -45801 times 0.4? -18320.4 0.3*46401 13920.3 11463 * -1 -11463 -24443*-5 122215 6232*3.2 19942.4 Product of -17052.5 and 4. -68210 Work out 28899 * -0.04. -1155.96 Multiply 0.2 and -45817. -9163.4 Product of -1203.5 and 19. -22866.5 611878 * 2 1223756 -248*-717 177816 Product of 5 and 1.6284. 8.142 What is 88798 times -0.5? -44399 What is 3.28016 times -1? -3.28016 What is the product of -0.1 and -3698? 369.8 Product of -0.3 and -608502. 182550.6 Product of -0.03 and -107833. 3234.99 Calculate 11323.3*-2. -22646.6 Work out -222 * 6.75. -1498.5 Calculate -0.07*-17289. 1210.23 -2.192 * -22 48.224 Multiply 47016 and -4. -188064 104478 * 0 0 Multiply -5.4871 and -0.08. 0.438968 What is -7 times -4660? 32620 What is the product of 4600 and 13? 59800 -1166.3*-2 2332.6 Work out 1 * -721628. -721628 What is the product of -389041 and 0.05? -19452.05 Product of -0.32 and 43888. -14044.16 0.29656 * 9 2.66904 Product of 1968 and 0.9. 1771.2 What is the product of -6.9763 and -3? 20.9289 What is 12439 times 5? 62195 What is the product of 0.2 and 0.011876? 0.0023752 What is -1959 times 14? -27426 Work out -0.012 * 86. -1.032 15 * -5.0205 -75.3075 Calculate -5*20524.7. -102623.5 Calculate -0.5*42837. -21418.5 Product of 1 and 0.00996. 0.00996 Work out 112.41 * 0.3. 33.723 -5 times -217223 1086115 -399310*0.2 -79862 -670.4177*3 -2011.2531 Calculate -69*1699. -117231 What is the product of -13398 and -0.14? 1875.72 0.1*-1075443 -107544.3 177 * -1565 -277005 -7*3112.4 -21786.8 What is the product of 2 and -206055? -412110 Work out 1.5 * -217.327. -325.9905 Work out 541 * -0.791. -427.931 What is 29.067 times 0.7? 20.3469 0.11 times -4529 -498.19 Multiply -110990 and 0.5. -55495 What is 0.67 times -18.86? -12.6362 -0.034 * -0.448 0.015232 Calculate -6.34*-0.22. 1.3948 1502 times 0.198 297.396 -0.132735*5 -0.663675 -1.849694*0 0 -9*-0.14106 1.26954 Multiply 36 and -0.0353. -1.2708 -0.22924 times 5 -1.1462 What is 22 times -423? -9306 Multiply -0.097 and 0.141. -0.013677 Calculate -5*16047. -80235 What is the product of -2.4 and -10742? 25780.8 Calculate -0.23*12179. -2801.17 What is 818 times -2424? -1982832 Work out -1.8 * -449. 808.2 -23 times 22399 -515177 Product of 5.534 and 0.077. 0.426118 Multiply 1.2 and 0.5515. 0.6618 -142 * -2794 396748 Calculate -1.346*-1.31. 1.76326 Calculate -3.5*0.08561. -0.299635 What is -3798 times 26? -98748 Product of 0.2 and -319911. -63982.2 Work out 0.019713 * 13. 0.256269 Work out -0.058441 * -24. 1.402584 1 times -1527 -1527 Multiply -0.7 and 162855. -113998.5 -0.1*-19817 1981.7 Multiply 89451 and 0.3. 26835.3 Calculate 0.357*-0.4. -0.1428 2587 times 0.494 1277.978 -0.5*-0.1539121 0.07695605 What is 190 times 0.2455? 46.645 -28407 * 8 -227256 Multiply -25 and 3602. -90050 Work out -74725 * -2. 149450 -207.389 times -15 3110.835 0.06*-151 -9.06 0.2 * -17818 -3563.6 -199.6 * -130 25948 What is the product of -18712 and 0? 0 What is -40.3949 times -4? 161.5796 0.11*4370 480.7 31.94*-0.7 -22.358 -0.922 times 1.09 -1.00498 What is the product of 0.3 and 119711? 35913.3 0.1788*187 33.4356 -3.7 * -30.709 113.6233 Multiply 10372.7 and -0.4. -4149.08 Calculate -3*2.25627. -6.76881 What is the product of -0.2 and -0.04107? 0.008214 Calculate -628*0.0119. -7.4732 Multiply 8.9 and -0.52395. -4.663155 What is the product of -28 and 6.84? -191.52 What is -0.6 times 1778.35? -1067.01 Multiply -3 and -0.05097. 0.15291 Calculate -2559*-61. 156099 Product of 0.394017 and -5. -1.970085 2.1 times 0.20914 0.439194 Calculate 0.1*-6065. -606.5 -2*-37372 74744 4.16572*0.1 0.416572 -0.1 * 1563.5 -156.35 What is the product of 61 and 0.7027? 42.8647 What is 4 times -8526? -34104 -0.04 times 29113 -1164.52 Product of -0.3 and -14863. 4458.9 -145 times 2.33 -337.85 Calculate 0.1*-2190. -219 Work out -0.6478 * -1.6. 1.03648 703761 times 0.4 281504.4 -30436.19 times 3 -91308.57 -3596 times 27 -97092 Work out -0.035 * -5278. 184.73 What is the product of 13.4 and 32.7? 438.18 836 * -2.3 -1922.8 -481 times 82 -39442 What is the product of -0.5 and -9676? 4838 Multiply -0.4 and 10.13. -4.052 Product of -431.5 and -5. 2157.5 What is -237222 times 0.3? -71166.6 Calculate 3295743*0.3. 988722.9 -0.137 times 2.3592 -0.3232104 Product of 1 and 230.526. 230.526 Multiply -0.014598 and 3. -0.043794 -0.0313 * 5 -0.1565 Work out 2822 * 5.2. 14674.4 What is the product of -51502 and -1? 51502 What is the product of -0.016515 and 5? -0.082575 Calculate 5*8274.17. 41370.85 What is -83.2 times -10? 832 Product of 0.5 and -77238. -38619 Calculate 60.3279*0. 0 What is the product of -0.5 and -332394? 166197 What is the product of -774 and 1.27? -982.98 What is the product of -67.2 and 6.5? -436.8 -55.952 times 5 -279.76 -9437 times 5 -47185 What is -20.5529 times 0.07? -1.438703 Calculate 77878*-1. -77878 1.593 times -13 -20.709 What is the product of -4 and 97? -388 Multiply -48 and 1446. -69408 Multiply -15.46 and -2. 30.92 -5 * -2592 12960 Work out -39 * 8407. -327873 524 * 1.4 733.6 Product of 0.8144102 and -4. -3.2576408 -2.9543 times 9 -26.5887 -81 * -1.8 145.8 0.2 * -0.37339 -0.074678 4263*-0.19 -809.97 What is the product of 0.1 and 9671? 967.1 -8*1845 -14760 What is the product of 18 and 0.171225? 3.08205 23*0.708 16.284 Calculate -0.1*-1.24036. 0.124036 What is the product of 0.0003 and -9.82? -0.002946 What is 0.07 times -473? -33.11 -1.079 times 513 -553.527 What is the product of -1577.8 and 1? -1577.8 Multiply 5 and -188.29. -941.45 101315 times -0.01 -1013.15 -405*681 -275805 Calculate 87082*-1. -87082 Multiply 74 and -1154. -85396 What is the product of -379096 and -4? 1516384 Product of 14 and -735. -10290 Multiply -5 and 23.153. -115.765 -0.0465 times -3141 146.0565 -0.8 * -0.03999 0.031992 Calculate 652*-66. -43032 -3*-4657 13971 What is the product of -2.672 and 0.19? -0.50768 -2659683 times 5 -13298415 Calculate -2.274*-0.04. 0.09096 Product of 477687 and 0. 0 What is the product of -0.83665 and 3? -2.50995 What is the product of -0.1715293 and 0.1? -0.01715293 What is 582877 times 0.5? 291438.5 Product of 2901498 and -2. -5802996 What is -48988 times -0.05? 2449.4 0.04417 times 47 2.07599 1185*427 505995 Calculate -3.214*-0.97. 3.11758 -0.20553 times 0.2 -0.041106 What is the product of -33.2 and 4118? -136717.6 Multiply 0.072 and 0.38. 0.02736 -2 times 17320 -34640 Multiply -13074 and 12. -156888 1187804*0.3 356341.2 4 times -772.161 -3088.644 -303*694.9 -210554.7 Multiply 19 and 7862. 149378 What is the product of 7920 and -0.16? -1267.2 Multiply -122 and -750. 91500 What is the product of 53 and 46.6? 2469.8 Work out -3946 * 0.33. -1302.18 -1.4059 times -22 30.9298 -104.58 times 12 -1254.96 -1.3 * -0.15367 0.199771 Work out 5309 * -4. -21236 Work out -38616.3 * -3. 115848.9 Product of -0.0299822 and 0.3. -0.00899466 0.11*-0.6181 -0.067991 Multiply 233069 and 4. 932276 Work out 17 * 101.915. 1732.555 Product of 0.148279 and 0.3. 0.0444837 Calculate 78*138. 10764 What is the product of -8.024 and 16.3? -130.7912 Calculate -3*649.854. -1949.562 -47.3795 times -0.2 9.4759 Calculate -4*8226. -32904 0.4 times 142.803 57.1212 Work out 650 * 2.4. 1560 Calculate -4*-392698. 1570792 What is -0.3 times -13036? 3910.8 -0.5*722.95 -361.475 8.606 times -3 -25.818 -0.4*-2659 1063.6 What is the product of -2350 and -2.68? 6298 What is the product of 1 and -368828? -368828 Product of -431496 and -0.4. 172598.4 Work out 0.9 * 85858. 77272.2 Product of -
{ "pile_set_name": "DM Mathematics" }
= -5*a. Let h = k + y. Solve -4*v - h*z - 20 = -2, 0 = 4*v + 3*z + 23 for v. -2 Suppose 0 = -4*t + 4, 2*t - t = 2*v + 1. Solve 4*b = 16, v*b + 6 = -2*m + 2*b for m. 1 Suppose 5*q + 0*q - 24 = 4*o, 0 = 4*o + 4. Suppose -2*f = -3*v + 17, -v - 2*f + 7 = -4*f. Solve p - 16 = -v*m, m + 2*p = -0*m - q for m. 4 Let s be (0/2 - -2)/2. Suppose 4*f - s = 3*o - 0, 0 = 4*o - 4*f. Solve -3*j + o = -4*n, 6 = 5*n - 4 for j. 3 Suppose -4*x = -2*m - 84 - 62, 2*x + 5*m = 67. Suppose 3*t = -4*v + 12, -6*v + 2*v = -3*t - x. Let f = v - 2. Solve f*p = l + 2*l + 25, 5*l = -5*p + 5 for l. -3 Suppose -3*l + 18 = 4*y, y = 5*l + 1 - 8. Solve 0 = j - 2*x + l, -2 + 8 = -3*j + 3*x for j. -2 Suppose l = 2*l - 2. Suppose q - 6 = -l*q. Suppose k = -a + 33, -q*a + 4*k = -0*k - 48. Solve -z - 2*z - a = 3*d, 5*d + z + 30 = 0 for d. -5 Let y be 24 + 2*-1*-1. Let m = -12 + y. Let f be 1/3*(2 - 2). Solve -4*u + f*v + m = -2*v, -5*v = -5 for u. 4 Suppose a + 2*r = -2*r + 4, -2*a - 5*r = -5. Let f be (6 - a)/2 - 3. Solve -n - 16 = 2*n + 5*p, -2*n - 2*p - 8 = f for n. -2 Let g(q) = -q**3 + 3*q**2 + 6*q - 2. Let z be g(4). Let n be z/12*(1 - 1). Solve 2*j + n*j = -4*l + 18, -5*l = 3*j - 23 for l. 4 Suppose 67 = 4*t - 57. Suppose 9 = -3*u + 4*p + t, -2*p + 16 = 3*u. Let k be 6/(-9) - (-2)/3. Solve m + k - 4 = 0, -u = -2*n + m for n. 5 Suppose 0 = -2*v + 104 + 22. Let n = 59 + -36. Let d = v - n. Solve 5*k + 9 = -5*l - 1, -5*l + d = -5*k for l. 3 Let r = 18 - 16. Solve -15 = s - 7*a + 2*a, 2*a - 18 = -r*s for s. 5 Suppose -3*g + 56 = 4*b + 19, -120 = -5*g + 5*b. Solve 0*a + g = -3*a + 5*r, 4*a - 5*r = -22 for a. -3 Let c be ((-33)/(-22))/(3/16). Solve -d - k = -c, -d = d - 4*k + 8 for d. 4 Let d = -3 - -12. Let t be 3/d*-22*-3. Solve -4*y = -2*g + 3*g - 14, 3*g = 4*y - t for g. -2 Let d(b) = 3*b**2 - 3*b + 2. Let s be d(2). Suppose 0 = -o - 4*o, -4*y + 2*o = -s. Solve -5*r = 0, -y*r + 0*r - 15 = 5*c for c. -3 Suppose -5*y - 70 = -2*s, 5*y - s + 80 = 3*s. Let q be (y/10)/(9/(-60)). Suppose 0 = -w - w + q. Solve 2*f = -2*o, w*o + 7*f + 5 = 4*f for o. -5 Let i = -22 + 24. Let v be (-42)/14 + (6 - -1). Solve -g + 6 = 3*l, v*l + i*g = -3*g + 8 for l. 2 Let c = 10 + -10. Solve 6*f - 2*f + 16 = -h, -2*f - 2*h - 2 = c for f. -5 Let c(f) = 2*f + 32. Let x be c(-15). Solve -2*n - x*t - 9 = n, 4*n + 3*t = -11 for n. -5 Let j = 2 - -1. Solve 4*n + 8 = -4*d, -d + j = -2*n + 11 for d. -4 Let t be ((-12)/16)/(1/(-8)). Suppose -5*x = -2 - 8. Let r = t - x. Solve r*b = 6*b - 2*c + 2, 2*c = -b - 7 for b. -3 Let o = -166 - -184. Solve 0 = 4*s + 21 - 1, -2*d = 4*s + o for d. 1 Suppose -2*f = -4*s + f + 3, s - 12 = 3*f. Let l be (1 + (-7)/3)*s. Solve -r + l = 0, 5*x + 2*r - 18 = 3*x for x. 5 Let z(k) = k**3 - 13*k**2 + 12*k + 3. Let w be z(12). Solve w*x - 4 = -o + 12, 3*o - 12 = 0 for x. 4 Suppose 2*k + 5*i - 43 = 0, 2*k + 2*i - 28 = -0*k. Let j = 13 - k. Solve -31 = -j*g + 4*m - 3, 3*m = -2*g - 11 for g. 2 Suppose -2*k + 2 = -14. Suppose k*f = 3*f. Solve d + n - 1 = f, -d + 2 = 2*n - 2 for d. -2 Let d = 6 + -1. Let m be ((-10)/30)/(2/(-78)). Let q = m + -10. Solve d*k = q*j - 14 + 33, 4*j - 2*k + 2 = 0 for j. 2 Suppose -8 = -0*j + 2*j. Let v be (j/12)/(1/(-9)). Solve 15 = v*k - 6*k + 4*r, -k + 2*r - 5 = 0 for k. -5 Let h be 152/36 + (-2)/9. Solve -2*g + 3*n = -13, h*g - 4*n = -6*n + 2 for g. 2 Suppose 4*p - 2*c = 6, -3*p + 0 + 2 = -2*c. Solve -k - k - 20 = p*n, 15 = 4*k - 3*n for k. 0 Let p(q) = -2*q**2 - 5*q - 5. Let m(o) = -o**2 - 4*o - 4. Let a(x) = 4*m(x) - 3*p(x). Let z be a(3). Solve -3*f + 2 = 4*d - 2, -z = -5*f - 3*d for f. 4 Let k = 1 + 1. Suppose -3*a - 2 = -o - 0*a, o - 2 = k*a. Solve 2*v = -4*x + 6, 6*v + o*x - 1 = 3*v for v. -1 Let n be (-30)/(-8) + (-27)/36. Solve 0 = 5*b + 5*o + 25, -2*b - 2*o = -n*o - 2 for b. -1 Let l(x) = x**2 - 6*x + 17. Let a be l(7). Solve -3*t + 4*g = a, -23 = 2*t - 4*g - 3 for t. -4 Let p be (4 - (-96)/(-18))*3/(-2). Solve 5*m = 4*o + 2*m - p, 4*o - 6 = m for o. 2 Suppose -5*i + 37 = -3. Solve 0 = 4*v + 2*n - i, n = v - 0*n + 4 for v. 0 Let f = -5 + 5. Suppose -2*u - 14 = -2*i - f*i, -5*i - 4*u = 1. Suppose 16 = q + 3*q. Solve -2*g + k + q = 0, 5*k - i*k + 8 = -g for g. 0 Suppose -2*c + 8 = 4*x, 5*c + 0*x - 65 = 5*x. Let h be 48/c + (-1)/(-5). Suppose 5*b - 31 = -11. Solve 0 = 2*y + u + h, 5*y + b*u + 10 - 2 = 0 for y. -4 Suppose -3*d + d - 2 = 0. Let p be -3 + 6/2 + -2. Let k be (p - -1)*1 - d. Solve -4*i - 15 = q, 5*i - 4*q + 33 + 12 = k for i. -5 Suppose -63 = -13*w - 180. Suppose -5*m + 28 = -432. Let h be m/9 + 2/w. Solve -r + 5*s = h, -5*s + 19 = -3*r - 1 for r. -5 Suppose o + 19 = 3*t - 3*o, -t + o + 5 = 0. Solve 5*i - t = -3*s + 2*s, -16 = 4*i + 5*s for i. 1 Suppose 23 = -3*k - 1. Suppose 3*s + 2*n = -9, 6 = -2*s - 2*n + 3*n. Let r = s - k. Solve -4*p + 1 = -r*m, -7 = 4*m + 5*p + 2 for m. -1 Suppose -4*q - 4*k + 18 - 6 = 0, q = -4*k + 3. Suppose -168*t = -174*t. Solve 3*l - 6*l - q = t, -8 = -3*w - 4*l for w. 4 Let n be ((-4)/(-10))/(2/(-30)). Let a(g) = -2*g - 10. Let t be a(n). Solve -3*f = -l - 4, 4*f - l = t*l + 2 for f. 2 Suppose 4*l = 4*p - 16, 0 = -2*p + 4*p - 5*l - 8. Suppose 1 = -0*r + r. Let a be 1 + (3*4 - r). Solve -p*y - a = 3*d, -3*d - 2*y + 2 = 8 for d. 0 Suppose 0 = 7*r - 12 - 9. Solve -r*q + 3*m - 6 = -0*q, 2*m - 8 = -2*q for q. 1 Let j be (-20)/4*(-4)/10. Suppose -j*r + 13 = 3. Solve -r*i + 5*b = -25, -i = -5*i + 5*b + 24 for i. 1 Let j(h) = -3*h**3 + 2*h - 3*h**2 + 4*h**3 - h**2. Let q be j(4). Solve -3*w + g = q, 2*w + 2*g = -g + 13 for w. -1 Let u = -26 - -26. Suppose -6*p + 10 + 8 = u. Solve g - 18 = p*y - 6*y, -1 = -2*y + 3*g for y. 5 Suppose -r + 4*r = 12. Suppose 2*m - 4*m = -r. Suppose n - 45 = -m*n. Solve 2*p - 4*f + 1 = -n, 2*p + 3*f - 12 = 0 for p. 0 Let y(z) = z + 6. Let u be y(-10). Let m(b) = -b**2 - 6*b - 3. Let s be m(u). Solve -4*l = 4*d - 24, 20 = -7*d + 2*d + s*l for d. 1 Suppose -2*d - 10 = -s, -s + d - 4*d - 15 = 0. Solve 3*r + 3*j - 1 = -4, -r - 5*j + 3 = s for r. -2 Let m = -7 - -12. Solve j - 8 = -3*l, 4*j + m*l - 13 = 2*j for j. -1 Suppose 5*i = 13 + 2. Suppose 4 = -w + i*w. Suppose o + 10 = 3*o. Solve -m - o*d = w, 5*m - 2*d + 10 = -7*d for m. -2 Suppose 5*h + 3*o - 14 = 13, 4*o = -h + 19. Let r be ((-1)/(2/(-4)))/(-2). Let y = 2 - r. Solve -7*d + 3*z + 3 = -y*d, -h*d - 2*z = 19 for d. -3 Let d be -1 + -1 + 15 + -2. Let l = d + 1. Solve -l = 3*v, -4*v - 16 = -2*i - v for i. 2 Let b(n) = 4*n - 13. Let l be b(4). Solve 3*f - 6 = l*x, 0 = -3*x + 5*f - 3 + 1 for x. -4 Let f = 9 - 10. Let r be (f - -1) + (-280)/(-8). Solve 5*b - r = -0*b - 2*x, 0 = -b + 4*x - 15 for b. 5 Let k = -24 - -31. Solve -2 = -2*o + 4*o, -2*m + k = -3*o for m. 2 Let t = -8 - -13. Suppose -3*b + 6 + 9 = 0. Solve 3*n - 16 = g + g, -t = b*n + 3*g for n. 2 Suppose 13 - 10 = 3*w. Suppose 0 = -2*q - 4, 0 = -p - 2*q + 7*q + 14. Let z be (w + 3)/(p/4). Solve -4*b + 18 = 2*x, -z*x - 2*b = x - 5 for x. -1 Suppose w - 1 = 2. Let m(h) = -2 + 0*h - 2*h + w*h. Let i be m(4). Solve 2*t - 4*u - i = -u, 5*t + u - 5 = 0 for t. 1 Let o(k) = -k. Let z be o(-3). Solve -5*f - z*l + 11 = -l, -2*f - 2*l = -2 for f. 3 Let q = -30 + 32. Solve 4*x = 2*n + x + 4, -x = -q*n for n. 1 Let u be 3/6 + 6/4. Let i be 2/(-4) - (-15)/u. Solve l - 4*l = 4*j + i, 5*j + 1 = 4*l for l. -1 Suppose -2*p + 7 = -1. Let z(g) = 2*g**2 - 4*g - 5. Let i be z(p). Solve 5*a = -5*v + v - i, v = -a - 2 for v. 1 Suppose 0 = 2*g + 18 - 4. Let r = -5 - g. Solve 6*z + b = r*z + 5, -5*b = 3*z + 9 for z. 2 Let o(p) = p**2 + 10*p + 17. Let x be o(-9). Solve -x - 19 = -4*w + 5*y, 21 = 2*w - 5*y for w. 3 Suppose 2*n - n - 2 = 0. Suppose 4 = 4*c, -n*z - 3*z = -4*c - 46. Suppose 2*a + z = 5*o, 0*o + 3*o = -3*a + 6. Solve -3*m - j = -o*j + 19, -3*m - 3*j = 3 for m. -5 Suppose -3*s + 2*a + 4 = 0, -5*a - 10 = -3*s + 2*s. Suppose s = 4*d + d. Solve 0 = b + z + 9, d = z + 2 + 3 for b. -4 Suppose 0 = 4*i + i + 10. Let a = -19 - -23. Let o = i + a. Solve -o*u - 3*f + 12 = -f, 5*u - 26 = -4*f for u. 2 Let p(z) = -z + 7. Let b be p(3). Suppose -214 + 46 = -b*x. Suppose 5*m - 3*r - x = 124, -38 = -m - r. Solve -5*k + y = -11, -9 + m = 2*k + 5*y for k. 3 Let w = 9 + -15. Let s = w - -9. Solve -2*r + s*i - 8 = -3, -2*i = -10 for r. 5 Let q be (-1 + -2)*(1 + -2). Let a = q + 0. Suppose 0 = -4*z - 14 + 82. Solve 3*o
{ "pile_set_name": "DM Mathematics" }
)/1617*22/12*6/(-4)? 1/4 What is (-1 - -3)*1/6 - (-508)/16764? 4/11 Evaluate (0 + -6)/(19 + (-126)/(-42)). -3/11 10*1 - ((-240)/(-24) - -4) -4 Evaluate (-4)/14 + (9164/(-4088) - 28/(-1022)). -5/2 Calculate ((-36)/9)/((-26)/(-39)). -6 What is 16/18*117/26*(-39)/(-12)? 13 Evaluate 216/(-384)*(-16)/(-12)*(-2)/(-30). -1/20 Evaluate 5/(10 + 60/(-8)) + -15. -13 Calculate (-16)/156*4303/(-993). 4/9 Evaluate (14 - (12 - -8))/8. -3/4 What is the value of ((-21)/(-35))/((-16)/(-80))? 3 Evaluate -2 - (-78)/91*(76/(-12) - 3). -10 684/96 - 13 - -6 - 81/8 -10 Evaluate ((-2)/(-8))/((-33)/22). -1/6 What is (-4)/210 - (-40)/140? 4/15 What is (-832)/84 + 7 + ((-1007)/57 - -19)? -11/7 What is 668/5010 + (3072/315)/4? 18/7 172/(-6) - 2/6 -29 What is ((-1016)/144 - -7) + 6/27? 1/6 What is (-2 + 1)/(((-750)/18)/(-25))? -3/5 6 + -2 - (-27 + 330/11) 1 Evaluate -3 - (((-672)/(-35))/(-4) - 1). 14/5 Evaluate 39648/944 - (40 + 1). 1 Calculate -7 + (29/(-4))/((-115)/92). -6/5 What is 52/(-352) - (-174)/638? 1/8 What is ((-919)/4595)/((-39)/(-10))? -2/39 Evaluate (18 + 52/(-3))*2. 4/3 Evaluate 1653/152 + (-21)/2. 3/8 Calculate (-3)/(-12)*264/77*-7 + -3. -9 Calculate 3/15*(-270)/180. -3/10 What is 12/(-9)*2997/4329? -12/13 Evaluate 7 - -16*(-24 + 23). -9 Calculate 4208/(-264) - 0 - -16. 2/33 What is (20 - 3179/170)/((-2)/4)? -13/5 What is 35*(-20)/50 - -2? -12 What is the value of -28 + 27075/630 + (-16 - -1)? -1/42 ((-231)/(-70))/((-4)/8) - 7/(-1) 2/5 Evaluate (-2 - (-16)/6)/(-30 + 510/18). -2/5 What is (-3)/(((-16)/(-132))/((-8)/6))? 33 ((-12)/(-10)*(-5)/(-28))/((-144)/84) -1/8 Evaluate -10 + (-348)/(-36) + (0 - (-19)/39). 2/13 425/(-51)*(-21)/35 5 Evaluate (-16 + 6 + -3)*19/304*16. -13 What is (-10)/(-25) + 7 + (-352)/55? 1 Evaluate (-10 - (-210)/20) + (-7)/(-2) - -5. 9 (54/(-9) - -10)*(-546)/(-84) 26 Calculate (-216)/(-45) + -5 - 0/(-12). -1/5 What is -36*((-22)/40 - (-116)/145)? -9 4/3*23/((-1150)/45) -6/5 Calculate (-2 + 44/3)*669/(-446). -19 What is the value of (-7)/(5 + 8/(-2)) - 54/(-2)? 20 What is the value of 378/162*33/(-7)? -11 -4 - 207/(-36) - 2 -1/4 Evaluate 2*(-3 - -2)*(-1 - 76/(-74)). -2/37 Calculate 6/(-9) + ((-66)/9 - -2). -6 What is the value of (-43)/(6364/1221) - (-2 + 6 - 7)? -21/4 Evaluate -38*40/40 + 46. 8 Evaluate 18/135 - ((-1953)/(-270) + -7). -1/10 What is the value of (34 - 12) + ((-1962)/545)/(4/10)? 13 What is ((-1)/141)/(2/(-6))*-2? -2/47 Evaluate 12/26 + 84035/(-133770). -1/6 What is the value of 148/333 + (-230)/720? 1/8 575/23 + 2308/(-92) -2/23 What is the value of -19 + -9 + (-95)/(-5)? -9 Evaluate (-3)/((6039/132)/61). -4 324/40 + -1 + (5 + -11 - 1) 1/10 45/(-75) - (-21)/(-15) -2 132/(-105) + 78/91 -2/5 Evaluate 10/(-210)*7 + (-12)/(-63). -1/7 What is the value of 9 + 2/(-1) - (-64 - -69)? 2 Calculate ((12/10)/2 + -1)/((-88)/(-440)). -2 What is the value of 0 + 6 + -4 + (-1258)/(-187) + -9? -3/11 What is the value of ((-2)/(-7))/((-5)/(-385))? 22 Evaluate (9518 - 9538) + (1 - 191/(-10)). 1/10 What is (32/(-1232))/((-50)/110)? 2/35 Evaluate (48/1092)/(350/325). 2/49 Calculate (-6)/16*(10 + 1034/(-99)). 1/6 Evaluate 1*(5/(-20))/((-3)/(-12)). -1 What is ((-12 - (-40 - -15)) + -14)*12/(-51)? 4/17 What is (-261)/348*4/21? -1/7 What is the value of (4/(-3))/(73/(75555/46))? -30 What is the value of (500/(-200))/(1/6)? -15 Evaluate (224/280)/((-52)/(-6) + 3 + -9). 3/10 What is the value of 38/(-57)*129/(-18) - 5? -2/9 What is ((-6)/(-6) + -5)*(-10)/8 + -11? -6 Calculate 10/4 + (35/(-14))/(7/14). -5/2 What is 29/(-232)*(228/(-28) - -7)? 1/7 What is the value of 14/(-88) + (-209)/2299? -1/4 Evaluate -1*(-14)/(56/(-12))*2/6. -1 What is the value of (-893)/(-380) + ((-3)/(-2))/(180/(-72))? 7/4 What is the value of (23 - (-221)/(-13))*-3? -18 What is 0 - 2*3 - (24 - 438/15)? -4/5 What is -4 - 6/(((-3)/18)/(17/(-102)))? -10 What is the value of -2*6/20 + 31 + -30? 2/5 ((-26)/(-11))/((-6328)/(-8701)) 13/4 -1*(2 - (24 - 7)) + -9 6 What is the value of ((-115)/(-140) + 20/(-35))/((-6)/16)? -2/3 Evaluate 8 + 43/(-43)*(16/6 + 0). 16/3 Evaluate (-2)/(-3)*(-20)/40*(-6)/8. 1/4 Evaluate 2/(-8 - -6)*(1 + (-8)/10). -1/5 What is the value of ((-15)/(-2) - 6)/(2/(-4))? -3 4437/(-405) + 18/(-405) -11 82/(-2) - (-815 - -5)/54 -26 Calculate (-1)/2*(-124 + 164). -20 What is the value of (-2)/(-4) + -95 + 95? 1/2 What is the value of 16/36 - 3952/468? -8 What is the value of 5 + (12/15 - 5)? 4/5 130/(-1287)*(-36)/(-60) -2/33 What is (-454)/(-310) + (-2023)/1445? 2/31 ((-142)/426)/((-2)/(-72)) -12 Evaluate 4 + 0 - (-3 + 6 + 5). -4 (3 + 30/(-8))/((-390)/26) 1/20 What is the value of (4 - 9*(-2)/(-6))/((-29)/(-58))? 2 6/(-14)*((-23)/(-2) - 12)*2 3/7 (-1122)/2618*(-14)/8 3/4 Evaluate (-1)/((-16)/(171 - 11)). 10 Evaluate ((-40)/(-24))/(30/66). 11/3 What is the value of (-4)/27*((-8427)/(-424))/(-53)? 1/18 ((-36)/(-30))/(1*27/90) 4 (-24)/(-440) + 3/(-5) -6/11 What is the value of ((-240)/84)/(20/(-35)) + (-35 - 1)? -31 What is (-47785)/4024 - (-23)/2? -3/8 What is 1*(-2)/(-14) + -18*15/1260? -1/14 Evaluate 27/(-25) + (-790)/(-9875). -1 Calculate 63/(-84)*16 - 3/((-6)/8). -8 What is the value of (-104)/(-130) + 64/(-130)? 4/13 Calculate 1554/(-385) - (-10)/275. -4 Calculate (16/18 + (-22)/99)*3465/(-110). -21 Evaluate (-5 + 7)/(1*(-12)/42). -7 Evaluate (-12)/(-27) + -122*((-2516)/1260 - -2). 2/35 -25 + 18 + 6 - (27/21)/(-3) -4/7 Evaluate (3*6/81)/(0 - (-4)/(-21)). -7/6 What is the value of 4/(-16)*(-156)/(-195)? -1/5 What is (-646)/(-95) - 12/(-10)? 8 What is the value of ((-10)/(2*(-11 - -10)))/(1/2)? 10 Evaluate (-27*20/(-2160))/(1/(-4))*-22. 22 What is 3*6/54*51? 17 Evaluate (-525)/5775 - 3/(-11). 2/11 Calculate -24 - -25 - ((-63)/(-13) + 28/182). -4 6/(-27) + 384/27 + -15 -1 ((-868)/(-651))/(4/(-9)) -3 What is (60/(-14))/(3735/(-2324) - (-7)/4)? -30 (-1 + -2 + -5 - -4)/((-15)/(-6)) -8/5 873/(-63) + (-16)/112 -14 What is (257/(-2313))/((9/30)/(2/10))? -2/27 Calculate 11360/(-710)*11/(-8). 22 Calculate (5 - 20) + (-1500)/(-96). 5/8 What is (1 + -7 + 8)*((-1)/2 + 0)? -1 What is the value of ((-1521)/156)/(10*3/120)? -39 Evaluate 21/((-210)/50) - ((2 - -5) + 1). -13 Evaluate (65/(-91))/(-3 + (-52)/(-24)). 6/7 Calculate ((-10)/(-7))/(60/6 - 8300/840). 12 What is (-1)/(-44)*332 + -1 + (-12)/22? 6 (-331)/37 + (-24)/444 -9 (-1485)/(-54) - 27 - 33/48 -3/16 What is the value of ((-26)/117)/(16/(6480/(-99)))? 10/11 What is (1764/(-54))/(-7)*6/35? 4/5 Calculate 8/(-3)*10525/(-1263)*(-18)/20. -20 -9*(5060/132 - 36) -21 Calculate (1 + 2)*(960/(-7560))/((-4)/(-30)). -20/7 What is the value of ((-1795)/2154)/(1 + 27/(-12))? 2/3 Calculate -1*20/8 + 21/14. -1 What is 4/(-114) + 95604/5301? 18 What is (228/8)/((-51)/(-34))? 19 What is the value of -6 + 4 - (0 - 4)/4*4? 2 Evaluate (-2)/(-24)*2*5586/4655. 1/5 Evaluate ((288/(-308))/(-6))/(88/(-14) - -6). -6/11 What is (-6)/(-15) - (7 - (-1 - (-372)/45))? 2/3 What is 175/(-45) - (36/(-8) - 7/(-14))? 1/9 (((-26)/16185)/(2/20))/(2/3) -2/83 ((-16)/(-10))/(17*62/7905) 12 What is the value of -6 + 162/24 + (30/(-4))/5? -3/4 (4 - 84/20) + ((-764)/130 - -6) -1/13 -1 + (-13)/(39/(-24)) 7 Calculate (-1196)/4576 - 3/(-22). -1/8 What is ((-6540)/18530)/(2/(-136))? 24 Evaluate 6/21 + ((54150/1785)/19 - 2). -2/17 Calculate (1/(-2))/(64/((-58880)/(-20))). -23 Calculate 5 - -2 - (1089 - 1077). -5 Evaluate 805/(-1127) + (-9)/(-7) - (-18)/(-7). -2 (225 + -229)*1/(-3) 4/3 41/123 - ((-105)/36 + 3) 1/4 -1 + (-15 - 3)/(-3) 5 (872/1090)/(108/10) 2/27 Calculate (-6642)/(-28431) + 4/54. 4/13 What is 128/96*(2250/40)/(-15)? -5 Evaluate (-1)/((2*(-7)/70)/1). 5 5*(-4 - -1)*(-16)/(-120) -2 Evaluate -7 - 35/21*18/(-15). -5 Evaluate 2 + -15 - (-42 - -19). 10 (3740/(-600) - -6)*(-3)/14 1/20 Evaluate (1/2)/(3/15 - 2623/14640). 24 Evaluate 350/40 + (5 - 3/(12/19)). 9 8*((-248)/192 + 10/15) -5 What is -4 + 0 - (-9 - (9 + -14))? 0 What is (-19*24/44688)/((-1 - -2)/(-4))? 2/49 Evaluate 5*-1 - (-52 - 1640/(-41)). 7 (-17278)/(-14670) - (-20)/(-18) 1/15 Calculate (-92)/(-32) + 396/96 + -4. 3 Calculate (1 - (-5)/(-2))*102/612. -1/4 Evaluate (-500)/(-210)*7 - (15 + 1). 2/3 ((-38)/5 - -8)*(-10)/48 -1/12 What is the value of 113883/2618 + (0 - 43)? 1/2 Evaluate (475/(-23 + 28))/(-5). -19 Evaluate (2/(-66))/(13050/(-15950)). 1/27 Calculate 560/(-15540)*(-6)/4. 2/37 What is the
{ "pile_set_name": "DM Mathematics" }
*4. w*(w - 2)**2*(w + 1)/4 Let j(g) = g**2 - 4. Let r be j(3). Suppose o + 4 + 9 = 5*f, -17 = -3*f - 4*o. Find q, given that -49/4*q**r + 0*q + 6*q**f - q**2 - 21/4*q**4 + 0 = 0. -1, 0, 2/7 Let b be ((-56)/(-630))/(2/55) + -2. Factor -b*z**4 + 2/9*z**3 + 0*z + 0*z**2 + 0 + 2/9*z**5. 2*z**3*(z - 1)**2/9 Let a(s) = 6*s**5 - 2*s**4 - 2*s**3 - 2*s**2 + 4. Let w(f) = f**4 + 0*f**5 - f**5 + 3 - 4 + 0. Let l(p) = -a(p) - 4*w(p). Solve l(b) = 0. -1, 0, 1 Let y(t) be the second derivative of 0*t**2 + 0 - 1/60*t**5 + 1/36*t**3 + 1/72*t**4 + 4*t. Suppose y(v) = 0. Calculate v. -1/2, 0, 1 Let v(i) = -17*i - 2. Let d be v(-1). Find n such that 5 - 8 - 3*n**3 - 4 - 24*n - d*n**2 - 5 = 0. -2, -1 Suppose 154 - 132 = 11*r. Suppose 1/3*h**r + 4/3*h**3 + 0*h + h**4 + 0 = 0. What is h? -1, -1/3, 0 Let n(l) = 2*l**4 + l**3 - 3*l**2 + l + 2. Suppose 4*c - 2*c = 6. Let f(x) = -2*x**2 + 5 + 4 + c*x**4 - 6. Let y(g) = 3*f(g) - 4*n(g). Factor y(v). (v - 1)**4 Let z(c) be the second derivative of -5*c**7/42 - c**6/3 + 5*c**5/2 + 10*c**4/3 - 55*c**3/2 + 45*c**2 + 5*c + 1. Let z(y) = 0. What is y? -3, 1, 2 Let p(c) be the second derivative of -c**10/10080 - c**9/7560 + c**4/12 + c. Let l(i) be the third derivative of p(i). Solve l(z) = 0 for z. -2/3, 0 Find s such that 9 + 2*s**4 - 2 + 2*s - 6*s**2 - 3 - 2*s**3 = 0. -1, 1, 2 Let u(s) be the first derivative of -4*s**3/3 + 4*s**2 + 12*s - 12. Factor u(x). -4*(x - 3)*(x + 1) Let w(j) be the third derivative of -2*j**2 + 1/15*j**5 + 0 + 0*j + 1/2*j**4 + 4/3*j**3. Factor w(u). 4*(u + 1)*(u + 2) Factor -50*q**3 + 4*q**5 - 2*q**5 - 24*q**4 - 4*q**5 - 22*q**3. -2*q**3*(q + 6)**2 Solve 26*c + 3*c**2 + 29*c + c**3 + c**2 - 52*c = 0 for c. -3, -1, 0 Let s(t) be the first derivative of -45*t**4/4 - 125*t**3/3 + 15*t**2 + 19. Find w such that s(w) = 0. -3, 0, 2/9 Let x(h) = h**2. Let c(q) = -9*q**3 + 29*q**2 - 21*q + 6. Let w(j) = c(j) - 5*x(j). Factor w(i). -3*(i - 1)**2*(3*i - 2) Let w(s) = -22*s**2 - 6*s + 2. Let h(f) = -23*f**2 - 7*f + 3. Suppose -4*g - b - b = 4, g - 3*b + 15 = 0. Let a(p) = g*w(p) + 2*h(p). Factor a(q). 4*q*(5*q + 1) Let g = 161/3 - 53. Determine u so that -g*u**2 + 8/3*u - 8/3 = 0. 2 Let s(d) be the second derivative of d**6/180 - d**5/30 + d**4/12 - d**3/2 - 2*d. Let b(j) be the second derivative of s(j). Solve b(c) = 0 for c. 1 Factor 10*a**4 + a**5 + 8*a**2 - 19*a**5 - 16*a**3 + 7*a**5 + 9*a**5. -2*a**2*(a - 2)**2*(a - 1) Let a = -6 - -9. Let c = -19 + 25. Factor 2 + 8*w**a - 6*w + 0 + c*w**2 - 10*w**3. -2*(w - 1)**3 Suppose 0 = 5*x - x - 16. Suppose -w = -3*w + x. Factor -s**w + 3*s - 5*s**2 - s - 2*s**4 + 6*s**3. -2*s*(s - 1)**3 Let d(n) be the first derivative of -n**4/38 - 10*n**3/57 - 8*n**2/19 - 8*n/19 + 11. Factor d(s). -2*(s + 1)*(s + 2)**2/19 Let d(h) = -3*h**2 - 13*h + 11. Let p(b) = 2*b**2 + 6*b - 5. Let v be ((-21)/(-6) - 3)*-6. Let z(u) = v*d(u) - 7*p(u). Factor z(g). -(g + 1)*(5*g - 2) Let l(d) be the second derivative of 1/84*d**7 + 0*d**2 + 0 + 1/24*d**4 - 3*d - 1/60*d**6 - 1/40*d**5 + 0*d**3. Suppose l(h) = 0. What is h? -1, 0, 1 Suppose 13 = 4*a + 5. Let 0*o + 0 - 2/5*o**a = 0. What is o? 0 Let t(k) be the first derivative of -k**6/8 + 3*k**5/20 + 3*k**4/8 - 23. Factor t(c). -3*c**3*(c - 2)*(c + 1)/4 Solve 5/6*u**4 - 5/3*u**3 - 5/6*u + 5/3*u**2 - 1/6*u**5 + 1/6 = 0 for u. 1 Let n(b) = b**2 - 4*b. Let h be n(4). Let z(x) be the first derivative of h*x - 1 + 1/12*x**3 + 1/8*x**2. Solve z(r) = 0 for r. -1, 0 Let t = 163 + -158. Factor g**3 + 1/2*g**t + 1/2 + g**2 - 3/2*g - 3/2*g**4. (g - 1)**4*(g + 1)/2 Let z be 123/(-21) - (-9)/3. Let m = -33/14 - z. Factor 0*x + m*x**3 - 1/2*x**2 + 0. x**2*(x - 1)/2 Let a(i) be the third derivative of i**8/4704 + 2*i**7/2205 + i**6/2520 - i**5/210 + i**4/12 - 4*i**2. Let x(k) be the second derivative of a(k). Factor x(o). 2*(o + 1)**2*(5*o - 2)/7 Let x(p) be the first derivative of p**5/120 + 7*p**2/2 + 5. Let t(w) be the second derivative of x(w). Solve t(o) = 0 for o. 0 Let j(i) = -4*i**2 - 100*i + 68. Let x(g) = -2*g**2 - 40*g + 27. Let t(o) = 5*j(o) - 12*x(o). Factor t(b). 4*(b - 4)*(b - 1) Solve -4/3 + 2/3*o**3 - 2*o + 0*o**2 = 0 for o. -1, 2 Let a = 557 - 2784/5. Solve -4/5*g**3 + 0 + g**2 + a*g**4 - 2/5*g = 0. 0, 1, 2 Let g = 17 - 12. Let h = -12/77 + 8/11. Factor 0*y**2 - h*y**4 + 0 + 0*y - 2/7*y**3 - 2/7*y**g. -2*y**3*(y + 1)**2/7 Let q(s) be the first derivative of -8*s**5/5 + 5*s**4/2 - 2*s**3/3 - 11. Factor q(z). -2*z**2*(z - 1)*(4*z - 1) Factor 2 + 9*r**2 + 29 + 23 + 9*r**2 + 54*r + 2*r**3. 2*(r + 3)**3 Let s(b) be the first derivative of -b**4 + 4*b**3/3 + 4*b**2 + 7. Let s(c) = 0. Calculate c. -1, 0, 2 Let u be (-5)/(-1) - -6*3/(-18). Factor -2/3*h**u + 0 + 0*h - 4/3*h**3 - 2/3*h**2. -2*h**2*(h + 1)**2/3 Let u(h) = -h**2 + 20*h + 23. Let c be u(21). Determine a so that -1/2*a**c + 1 - 1/2*a = 0. -2, 1 Let w(q) = -q**2 - 6*q + 3. Suppose -x = 3*r - 2*x + 13, -16 = r + 2*x. Let d be w(r). Factor -3*c**2 - c**d + c**4 - 3*c**3 - 2*c**4 + 4 + 4*c. -(c - 1)*(c + 1)*(c + 2)**2 Let l(d) be the second derivative of 1/12*d**4 - 3*d + 0*d**2 + 1/3*d**3 + 0 - 1/20*d**5. Solve l(z) = 0 for z. -1, 0, 2 Let a(i) be the first derivative of -2*i**5/5 - 2*i**4 - 2*i**3 + 5. Suppose a(s) = 0. Calculate s. -3, -1, 0 Let i(b) be the second derivative of 125*b**7/42 - 10*b**6/3 - 21*b**5/4 + 25*b**4/3 - 10*b**3/3 - 11*b. Solve i(y) = 0 for y. -1, 0, 2/5, 1 Let o(y) be the third derivative of 0*y**5 + 0*y + 1/630*y**7 + 1/180*y**6 - 1/36*y**4 + 5*y**2 - 1/18*y**3 + 0. Factor o(z). (z - 1)*(z + 1)**3/3 Let c(y) be the first derivative of -1/3*y**3 + 1/2*y**2 + 2*y - 2. Find n such that c(n) = 0. -1, 2 Let p(s) = -s**4 - s**3 - s**2 - s. Let h(f) = 2*f**5 - 22*f**4 + 210*f**3 - 598*f**2 + 906*f - 512. Let g(k) = 2*h(k) + 20*p(k). Factor g(x). 4*(x - 4)**3*(x - 2)**2 Let j = 4 - 26/7. Let 4/7*n + 2/7*n**2 + j = 0. Calculate n. -1 Let k(v) = v + 1. Let q be k(2). Factor -5*x**q + 20*x - 4*x**2 - 68 + x**3 + 56. -4*(x - 1)**2*(x + 3) Let v(z) = z**3 + 2*z**2 - 3*z + 2. Let p be v(-3). Find j, given that 4*j**2 - 3*j**2 + j**p - j + 0*j**2 - j**3 = 0. 0, 1 Let s = -4 + -25. Let k = s - -29. Solve 2/7*o**2 + k - 2/7*o**3 - 2/7*o**4 + 2/7*o = 0. -1, 0, 1 Factor 1/4*f**2 + f + 0. f*(f + 4)/4 Let c(o) be the first derivative of 0*o**3 - 1/60*o**4 + 0*o - 1/2*o**2 + 1 - 1/150*o**5. Let v(l) be the second derivative of c(l). Factor v(i). -2*i*(i + 1)/5 Let o(u) = 4*u**4 + 4*u**3 + 5*u. Let t(n) = n**4 + n**3 + n. Let g(a) = 4*o(a) - 20*t(a). Determine k, given that g(k) = 0. -1, 0 Let y(a) be the first derivative of -a**3/7 - 3*a**2/7 - 3*a/7 + 15. Suppose y(t) = 0. What is t? -1 Let t(l) be the third derivative of -l**7/945 + l**6/90 - 4*l**5/135 - l**4/18 + l**3/3 - 7*l**2. Let t(k) = 0. Calculate k. -1, 1, 3 Let l = 35 - 25. Let f = 13 - l. Find i, given that 4/5*i**2 + 0*i + 0*i**f - 2/5*i**4 - 2/5 = 0. -1, 1 Let f(h) = 2*h**2 + 12*h. Let u(p) = p**2 + 11*p. Let t(w) = 3*f(w) - 4*u(w). Find q, given that t(q) = 0. 0, 4 Suppose -101*l = -83*l - 90. Let 1/4 - 1/2*a**2 - 1/4*a + 1/4*a**4 + 1/2*a**3 - 1/4*a**l = 0. Calculate a. -1, 1 Suppose -b = -j - 7, -b = -6*b - 2*j. Let d(p) be the second derivative of -1/6*p**4 + 1/9*p**3 + 2*p + 0 + 0*p**b. Let d(a) = 0. What is a? 0, 1/3 Let t(n) = -3*n**2 + 11*n + 14. Let d(r) = 2*r**2 - 7*r - 9. Let v(j) = 8*d(j) + 5*t(j). Solve v(x) = 0 for x. -1, 2 Let m be 1/(-5) + 2/10. Let a(q) be the third derivative of 1/6*q**3 - 2*q**2 + 1/12*q**4 + 1/60*q**5 + m + 0*q. Determine x so that a(x) = 0. -1 Let n = 6 + -5. Let a = n + 2. Factor l**2 - a*l**2 + 0*l**2. -2*l**2 Suppose 0 = 2*h - h - 4*c + 13, 10 = -2*h + 4*c. Factor 6*i**5 - 9*i**5 - h*i**4 - 3*i**4. -3*i**4*(i + 2) Let r(p) = -2*p + 3 + 0*p - 2. Let y be r(-2). Factor 2*h**2 + 4*h - y*h + 5*h. 2*h*(h + 2) Let s(y) = -y - 5. Let r be s(-7). Solve 15 - 3 - 37*b - b + 27*b**r - 22*b = 0 for b. 2/9, 2 Factor -28/5*z**3 - 4*z**2 + 0 + 8/5*z. -4*z*(z + 1)*(7*z - 2)/5 Let g(p) be the first derivative of p**9/504 + p**8/840 - 2*p**3/3 + 3. Let z(n) be the third derivative of g(n). Factor z(l). 2*l**4*(3*l + 1) Factor 11 - 2*t**4 - 3*t**5 - 11 + t**3. -t**3*(t + 1)*(3*t - 1) Let t(h) = -h**3 - 10*h**2 + 2. Let j be t(-10). Let w(c) be the third derivative of 0*c**3 - 1/30*c**5 + 1/12*
{ "pile_set_name": "DM Mathematics" }
nearest to c in -3, 2/5, -0.5? -3 Let v = -5/31 - -24/341. What is the closest to -1 in v, -1/2, 0? -1/2 Let z = -27 + 26. What is the nearest to 7 in -2, -5, z? z Let u be ((-16)/80)/(2/5). Let q be (2/20)/(1/(-2)). What is the nearest to u in -3, 0.5, q? q Let w = 1 - 0. Let r = -54 + 51. What is the closest to 0.1 in r, 0, w? 0 Let o = -4 - -6. Let g = o - 1. Let s = -1.51 + 0.51. What is the closest to s in -2, 1/7, g? -2 Let u = 24 + -49/2. Let r = 14.3 + -14. What is the closest to 0.1 in u, 1/5, r? 1/5 Let w(l) = l - 6. Let o be w(0). Suppose -2*q + 5*x - 17 = 0, q + 5*x = -2 + 31. Let f = q + o. Which is the nearest to f? (a) 1 (b) -1/3 (c) 5 b Let h = 2 + -4. Let f = 0.8 - 0.5. Which is the nearest to -0.1? (a) h (b) 1 (c) f c Let w = -153 - -152. Which is the closest to -1? (a) w (b) 8 (c) -0.4 a Suppose u = 6*u - 60. Let q = -9 + u. Let m = -9/22 - 1/11. Which is the nearest to 0.1? (a) -3 (b) m (c) q b Let u be 1/((1 - 3)/1). Let p = 2 - 2. Let r = 6 + -5.9. Which is the nearest to u? (a) p (b) 4 (c) r a Let u = 17 + -35/2. Let k = 48 - 43. Which is the nearest to 1? (a) k (b) 3 (c) u c Let o = -1.2 - -1.4. Which is the nearest to -0.1? (a) 2/5 (b) o (c) 4 b Suppose w + 3*w - 8 = 0. Let b = 0.4 - 0.8. Let v = -0.6 - b. What is the nearest to w in -0.1, -0.5, v? -0.1 Let z = -18.5 + 27. Let b = z + -8. What is the nearest to -1 in 2/7, b, -0.5? -0.5 Let z(f) = 5*f - 1. Let w(m) = -9*m + 3. Let x(j) = -4*w(j) - 7*z(j). Let o be x(4). Let s = 15 + -16. What is the closest to s in 2/21, o, 0.4? o Let k = 634 - 633. Let p = 4 + 0. What is the closest to 1 in 2, p, k? k Let i = 0.17 + -0.07. Let h = 12.3 + -12. What is the closest to i in 5/6, 1, h? h Let x = 1.3 - 0.3. Let s be 3/10*(-80)/15. Let v = -12/5 - s. What is the nearest to -0.1 in x, v, 5? v Let o be 18/(-4)*8/6. Let d be 0 + (o/(-9) - 1). Let a = -7 + 5. What is the nearest to -1 in d, 0.1, a? d Let s = 5/18 + 2/9. Suppose -1 - 2 = -u. Suppose -5*a = 5, a = n - u*n - 3. What is the nearest to n in s, -0.3, -2? -0.3 Let t = -11 - -7. Let o = 1.9 + -1.8. Which is the closest to o? (a) -2 (b) t (c) 5 a Suppose 0 = -3*w + 5*w - 4. Suppose 0 = -2*r - w*d, r - 2*d + 6*d = -3. What is the closest to r in 0.5, 0, 3? 0.5 Let h = -0.31 - -0.51. What is the nearest to h in -0.3, -0.4, -3? -0.3 Let w be ((-2)/(-8))/(1/395). Let q = w + -98. Let l = -37 + 37.3. Which is the nearest to -0.1? (a) q (b) l (c) -4/3 b Let s = 85/2 - 42. Which is the closest to 0.1? (a) s (b) -2 (c) -2/15 c Suppose u - 2*k + 226 = 4*u, 5*k = -5*u + 385. Let b be (-27)/u*4/6. What is the closest to 3/7 in 0, b, 1? 0 Let k = -231/2 + 113. Let z(c) = -c**3 + 9*c**2 + 12*c - 14. Let s be z(10). Suppose -3*v + 3 = -2*u, 3*v = 6*v - u - s. What is the closest to 1 in k, -3, v? v Let v = -19.3 + 19.7. Which is the nearest to -1/3? (a) -12/11 (b) v (c) -2 b Let h be -9 + 1 - 0/19. What is the nearest to 1/4 in -2, h, 0? 0 Let d = -0.4 + 0.7. Which is the closest to 0? (a) -5 (b) d (c) 0.2 c Let f = 40 - 37. Which is the closest to 0.02? (a) 5 (b) 3/2 (c) f b Let s = 262/7 + -1537/42. What is the closest to 0 in -1/10, -1, s? -1/10 Let s = -132 + 132.1. What is the nearest to 1 in 0.5, 0.05, s? 0.5 Let j be (-4)/(-6) - 91/(-39). Let n be ((-4)/j)/((-4)/(-12)). What is the closest to 2/5 in n, 0.3, -3? 0.3 Let o be (10/4)/(3/(-6)). Let j be (-48)/20 - 2/o. What is the nearest to -2/5 in -4, -1/11, j? -1/11 Let i = -0.5 - -0.4. Let m be 0 + 2 + (-28)/15. Let y = 367/72 + -39/8. Which is the nearest to 0? (a) i (b) m (c) y a Let v be (-4)/24*2/2*-3. Which is the closest to -12/5? (a) -5 (b) 0 (c) v b Let l(p) = p**3 + p**2 - p + 3. Let f be l(0). Suppose 0 = 4*z + 12, -11 = 4*c - f*z - 108. Let q be 2 + 8/c*-6. What is the nearest to 1/3 in -2, q, -3/7? q Let s = 6 - 8. Which is the nearest to -0.1? (a) s (b) 2 (c) -2/5 c Let v = -91 + 134. Let a = v + -127/3. What is the nearest to 1 in a, -1/6, -0.07? a Let k = 6 + -6.2. Which is the nearest to 2/5? (a) 2/7 (b) k (c) 0.4 c Suppose 0 = -4*q + q + 12. Suppose -2*v = 4*z - 3*v - 8, -4*v - 8 = -q*z. Suppose 2 + 0 = z*d. Which is the closest to -1/3? (a) -2 (b) d (c) 2/7 c Let d(g) = 0*g**2 - 1 + 3 + 3 + g**2. Let l be d(0). Which is the nearest to -1/3? (a) 0 (b) l (c) 0.2 a Let w(i) = -i**2 + 5*i - 4. Let y be w(4). Let z be y*2/(-6) + 1. What is the nearest to z in 1/9, 1, 2? 1 Let f be 2/12 + -3*(-5)/90. Let v = 4 + -2. Which is the nearest to v? (a) f (b) 0 (c) -2/19 a Let z = 0.3 + -0.8. Let i = 5/39 + -6/13. Let t = -0.26 + 0.36. Which is the nearest to t? (a) i (b) 3 (c) z a Let g = -260 + 83. Let r = g - -1949/11. Which is the nearest to 1? (a) -1 (b) 2 (c) r c Let g = 7 - 6.5. Let n = -0.2 - -0.3. What is the closest to 1 in n, g, 2/9? g Let v = 12.0929 - 12.19. Let m = 4.1071 + v. Let u = 0.01 - m. What is the closest to -2/3 in 2/7, -2, u? 2/7 Let z be (36/(-8))/(-1 - 4). Let n be -1*7*(-2)/(-10). Let k = z + n. Which is the nearest to k? (a) 0.3 (b) 4 (c) -1/2 c Let n(d) = -d**2 + 2*d + 6. Let v be n(4). Let y = 0.8 + -0.6. Which is the nearest to v? (a) 4 (b) y (c) 5 b Let u be 15 - (1 - 6/3). Let x be (-36)/u + 3/4. Let l be ((-1)/(-9))/(1/3). What is the nearest to -0.1 in l, x, -1/3? -1/3 Let w = 70 - 65. Let d(u) = -u**2 + 2. Let p be d(-2). Which is the nearest to 2/5? (a) w (b) 2 (c) p b Let f be -1 - (0 + 3 + -5). Let m = 4.12 - 0.12. Which is the closest to f? (a) 2/3 (b) 1 (c) m b Let f = 40/9 - 271/63. What is the closest to 2 in f, 4, 0.5? 0.5 Let x = 29 + -34. Which is the closest to 0? (a) x (b) 0.2 (c) 0 c Let t be ((-6)/(-48))/(2/(-2)). Let o = 941/10 + -94. Let y be (-2)/(-7) - (-26)/7. What is the nearest to -1 in t, y, o? t Let g = 0.05 - 0.05. Let n = 752/7 - 107. Which is the nearest to -1? (a) g (b) -3 (c) n a Let h = 23/14 - 1/7. What is the nearest to 2 in 1/7, h, -5? h Let l be -1*5/(-10)*4/(-2). What is the closest to 0.1 in -5, l, -0.4? -0.4 Let q = -7 - 6. Let t = q + 10. What is the closest to -0.1 in t, -1, -2? -1 Let w = -0.8 + 1.4. Let l = -0.4 + w. Let m = -3 + 2.6. Which is the closest to l? (a) m (b) 0.4 (c) 1/4 c Suppose 0 = 4*u + m - 7 - 11, -3*m = -2*u + 2. Let s be 1/2 - 6/28. Which is the nearest to -2/11? (a) -3 (b) s (c) u b Let h(j) = -j**2 - 9*j - 10. Let s be h(-7). Let g = s - 7. What is the closest to 1 in 0.5, -2/5, g? 0.5 Let j = -0.94 + -0.06. Suppose 2*q + 2 = -a - 2*q, 2*q = 3*a - 8. Suppose 0 = a*g - 1 - 1. What is the nearest to j in -0.1, g, 1/5? -0.1 Let s = 8.9 - 2.2. Let y = s - 7. Let m = -44.1 + 44. What is the nearest to -2/7 in m, y, 3? y Let s = -11.6 - -12. Let l(f) = -f**2 - 2. Let h be l(0). Which is the nearest to -0.2? (a) h (b) s (c) 2/7 c Let t be ((-3)/3)/(-1) + 1. Suppose h + 2 = t*h. Let f = -2 + 0. What is the nearest to -1 in -0.2, h, f? -0.2 Let g = -2.1 - -1.1. Which is the nearest to g? (a) 2/3 (b) -0.4 (c) 2/13 b Let z = 3/11 + 5/22. What is the nearest to z in 4, 1, -0.1? 1 Let v be -3 + 3 - (-9)/(-21). Let j = -13 - 9. Let r = j - -70/3. What is the closest to 1/3 in v, -3, r? v Suppose -2*z - 18 = 5*i, -7*i - z - 14 = -2*i. Let h = -0.03 + -2.97. Let l = 3.2 + h. Which is the closest to -1? (a) -4 (b) i (c) l b Let f = 4 - 4. Let h = 1.4 + 0.6. What is the nearest to f in -4, -1, h? -1 Let k be (-3)/(-4) + (-10)/8. What is the nearest to -1/4 in k, -0.4, -2? -0.4 Suppose -92 = -12*m - 11*m. Let q be 1 + 4/(-5)*1. Which is the closest to q? (a) m (b) -5 (c) 1 c Suppose -10 = 4*j + j. Let k = -0.286 - 0.114. Let f be (1/3)/((-5)/(-6)). Which is the closest to f? (a) k (b) 5 (c) j a Let u be (-216)/(-315) - 8/28. Which is the nearest to -0.1? (a) 0.06 (b) u (c) 1 a Let b be 22/(-6) - (-20)/5. What is the closest to b in 2, -4, 3? 2 Let y = -31 - -30. Which is the closest to y? (a) 4 (b) -2/13 (c) 1 b Let k = -3 - -3.1. Let d = 0.13 - -4.87. What is the closest to k in 2, d, 1/3? 1/3 Let i(w) = w**2 + 2*w + 2. Let c be i(-4). Suppose 0*f + 4*f - 3*y = c, -f - 5 = 3*y. Let j = -11 + 9. What is the closest to f in -4, 0.1, j? 0.1 Let s be -2 - (-9)/((-45)/(-8)). Let t(x) = x**2 - 4*x - 8. Let j be t(6). Which is the closest to 1/4? (a) j (b) s (c) 1 b Let s = 2/163 - -5
{ "pile_set_name": "DM Mathematics" }
*3/6 - 525*r. Find the second derivative of c(j) wrt j. -18*j - 236 Let d(r) be the second derivative of 19*r**6/10 - 70*r**2 + 170*r. What is the first derivative of d(o) wrt o? 228*o**3 Let l(b) be the second derivative of 13*b**5/10 + b**4/6 - 5*b**3/6 - 2*b**2 + 113*b. What is the second derivative of l(i) wrt i? 156*i + 4 Suppose 2*o + 1 = -3*o - d, -5*d = 2*o + 5. Suppose 2*f + f = o. What is the derivative of v**3 + f*v**3 - 1 + 22*v**2 - 22*v**2 wrt v? 3*v**2 Find the second derivative of 171*n + n**2 + 381*n - 2*n**4 + n**4 + 7*n**2 wrt n. -12*n**2 + 16 Suppose -4*s = -22 + 6. Suppose 72 = 5*m + 52. What is the first derivative of 2*v**m - s + 3 - 2*v**4 - 7*v**4 wrt v? -28*v**3 Find the third derivative of 7*r**2 - 194*r + 105*r**5 + 188*r - 13*r**5 wrt r. 5520*r**2 Let h = 14 + -11. What is the first derivative of 9*c - 2*c + 9 - 3*c - h wrt c? 4 Let j = -12 - -15. Let p(m) = -m + 6. Let a be p(j). What is the third derivative of v**2 + 6*v**3 + 3*v**5 - 6*v**a wrt v? 180*v**2 Let a(b) be the first derivative of -3*b**7/35 - 23*b**4/24 - 4*b**2 - 12. Let x(m) be the second derivative of a(m). Find the second derivative of x(o) wrt o. -216*o**2 Let t(x) = 128*x**3 - 7*x**2 - 11*x + 32. Let v(p) = -43*p**3 + 2*p**2 + 4*p - 11. Let m(c) = -4*t(c) - 11*v(c). Find the third derivative of m(k) wrt k. -234 Let c(g) be the first derivative of 0*g + 12/7*g**7 - 4/3*g**3 + 0*g**4 + 8 + 0*g**2 + 0*g**5 + 0*g**6. What is the third derivative of c(k) wrt k? 1440*k**3 Let z(l) = -542*l**2 - 597*l - 56. Let o(b) = 180*b**2 + 199*b + 21. Let k(n) = -8*o(n) - 3*z(n). Find the second derivative of k(u) wrt u. 372 Suppose -2*h + 4*x + 6 = 0, h + 0 = -x + 3. Find the second derivative of 2*d + 3*d**3 + 9*d + h*d**3 + 2*d**3 wrt d. 48*d Let i be ((-14)/3)/((-14)/(-21)). Let s = i + 10. What is the first derivative of 1 + 5*h**s - 3*h**3 + 1 + 3*h**3 wrt h? 15*h**2 Let g(s) = 6*s + 0 + 1 + 4*s**2 + 4 + s**2 - s**3. Let a be g(6). Find the first derivative of -a - 9*w**2 + 7*w**2 - 4*w**2 wrt w. -12*w Let d(z) be the third derivative of 139*z**6/60 + z**5/30 - 19*z**3/3 + 2*z**2 - 96. Find the third derivative of d(v) wrt v. 1668 Let z be -3 + 1 - 1 - (-7 + 4). Suppose c - 1 = 2. Find the third derivative of z*s - 8*s**2 + 4*s**c + 0*s**3 + 0*s wrt s. 24 What is the derivative of 95 - 19*k + 19 + 54*k + 100 wrt k? 35 Let y(h) be the second derivative of 0 + 0*h**2 + 0*h**4 + 22*h - 1/10*h**5 + 3*h**3. Find the second derivative of y(j) wrt j. -12*j Let b(p) = 331*p + 360. Let q(o) = 332*o + 359. Let f(a) = 3*b(a) - 4*q(a). Differentiate f(l) wrt l. -335 Let i = 4 - 2. Let z = -18 + 20. Find the third derivative of 2*u**2 - u**2 - 7*u**z - i*u**6 wrt u. -240*u**3 Find the first derivative of 393*a**3 + 288889*a - 288889*a + 537 wrt a. 1179*a**2 Let h be -5*((-3)/(-4) - (-7)/(-4)). Find the second derivative of -h*w**3 - 22*w + 11*w**4 + 15*w**3 - 10*w**3 wrt w. 132*w**2 Let a(q) = -3*q**3 - 5*q**2 + 8*q. Let d(x) = 4*x**3 + 3*x**2 - 9*x + 1. Let w(n) = -5*a(n) - 4*d(n). Find the second derivative of w(s) wrt s. -6*s + 26 Differentiate -93 + 16 - 6*f + 2*f - 30*f**4 wrt f. -120*f**3 - 4 Let p(h) be the third derivative of -h**5/30 - 3*h**4/2 + 241*h**3/6 + h**2 + 24*h. What is the derivative of p(o) wrt o? -4*o - 36 Differentiate 54 - 8 - 131*b + 116*b with respect to b. -15 Suppose 3*w + 43 = 283. Find the second derivative of 65*u + 60*u - w*u + 25*u**2 wrt u. 50 Let s(y) be the third derivative of y**7/210 - 5*y**5/2 + 43*y**4/3 - 8*y**2 + 6*y. Find the second derivative of s(z) wrt z. 12*z**2 - 300 Let n(s) = -9*s**3 + 2*s**2 - s. Let c be n(1). Let i(p) = -p - 2. Let l be i(c). What is the first derivative of 3*y**3 + 5*y**3 + l - 8*y**3 - 6*y**4 wrt y? -24*y**3 Suppose -j + 9 = 2*j. Find the third derivative of -59*h**3 + 94*h**3 + j*h - h**2 - 3*h wrt h. 210 Let x(m) be the third derivative of -5/24*m**4 + 0*m + 2/3*m**3 + 0 + 10*m**2. Differentiate x(y) with respect to y. -5 Let r be (-4)/18 + (-120)/(-54). What is the derivative of -3*s**r - 15 - 49*s + 49*s + 0*s**2 wrt s? -6*s Find the second derivative of g**2 + 840*g**3 + 839*g**3 - 1685*g**3 + 40*g wrt g. -36*g + 2 Find the third derivative of -82*k - 264*k**4 + 80*k + 105*k**2 + 15*k**2 wrt k. -6336*k Suppose -7*m = -12*m + 20. Suppose 0 + 15 = 5*r. Find the third derivative of c**4 - r*c**m - 3*c**4 - c**4 + 5*c**2 wrt c. -144*c Let n(y) = y**2 + y + 2. Let l be n(-3). Find the first derivative of -14 + 8*c**2 - c - l*c + 9*c wrt c. 16*c Let z(t) be the second derivative of -31*t**5/20 + t**4/12 - 7*t**3/6 - t - 6. What is the third derivative of z(f) wrt f? -186 Let c(y) = -417*y**3 + 2*y**2 + 2*y - 532. Let s(i) = i**2 + i - 10. Let g(o) = -c(o) + 2*s(o). What is the first derivative of g(u) wrt u? 1251*u**2 Let m(j) be the second derivative of -35*j**6/6 + 171*j**2/2 + 13*j - 3. What is the derivative of m(z) wrt z? -700*z**3 Find the second derivative of -165*s + 19*s**4 + 78*s - 7*s**2 + 14*s**2 - 302*s - 4*s**2 wrt s. 228*s**2 + 6 Suppose -3*u = -17 + 8. What is the second derivative of 30*w**4 + 4*w**3 - 4*w**u - 62*w + 29*w wrt w? 360*w**2 Suppose -12 = -k + y + y, 42 = 5*k - 4*y. What is the third derivative of 26*b**k - 15*b**6 + 19*b**2 + 12*b**6 wrt b? 2760*b**3 Let h(c) be the second derivative of 0*c**2 - 4*c + 0 - 7/12*c**4 + 1/3*c**6 + 0*c**3 + 0*c**5. What is the third derivative of h(b) wrt b? 240*b Let m(r) = 225*r**3 + 93*r. Let n(c) = -454*c**3 - 186*c. Let x(k) = 15*m(k) + 6*n(k). Find the second derivative of x(a) wrt a. 3906*a Let y(g) be the first derivative of -94*g**5/5 + 2*g**2 - g - 174. Find the second derivative of y(r) wrt r. -1128*r**2 Suppose 0 = 4*t - 51 + 15. Find the second derivative of -11*n**4 + 29*n**4 - t*n + 0*n - 8*n wrt n. 216*n**2 Suppose 3*n = 2*y - 21, 2*y + 9 = -2*n - n. Find the third derivative of -35*s**2 + 3*s**y + 3 - 9 + 6 wrt s. 18 Suppose 4*o - 7 - 1 = 0. Suppose 3*r + 5*u = o*u + 12, 5*r - 16 = -u. Find the second derivative of 7*y**3 + 9*y + y**3 - 6*y**r wrt y. 12*y Let n(l) be the first derivative of -7*l**5/15 + 3*l**4/4 - 12*l**2 + 18. Let q(a) be the second derivative of n(a). Find the second derivative of q(s) wrt s. -56 Let s(k) be the first derivative of 0*k + 0*k**5 + 0*k**6 + 3/7*k**7 - 34/3*k**3 + 52 + 0*k**2 - k**4. What is the third derivative of s(n) wrt n? 360*n**3 - 24 Suppose -4*f = 7 - 15. Suppose -f*n - n = -5*z + 25, -z - 5*n = 23. Find the first derivative of 38*s**2 + s**3 - 38*s**z + 7 wrt s. 3*s**2 What is the third derivative of 387*z**2 - 21*z**2 - 34*z**2 + 159*z**2 + 0*z**4 + 283*z**3 + 2*z**4 wrt z? 48*z + 1698 Let j(h) be the second derivative of h**8/140 - h**5/10 - h**3/6 + 2*h. Let g(u) be the second derivative of j(u). What is the second derivative of g(y) wrt y? 144*y**2 What is the third derivative of -107*t - 2*t**3 + 25*t**6 + 106*t - 2*t**4 + 16*t**2 + 2*t**4 wrt t? 3000*t**3 - 12 Let i(o) be the second derivative of 0*o**5 - 3/14*o**7 - 5*o + 5/3*o**3 + 0*o**4 + 0*o**2 + 0 + 0*o**6. Find the second derivative of i(k) wrt k. -180*k**3 Let c = -48 + 61. What is the third derivative of 13*s**2 + c*s**4 - 16*s**2 + 8*s**2 wrt s? 312*s Find the second derivative of 89 + 5*d**3 - 225*d**4 - 4*d + 549*d**4 + 8*d - 5*d**3 wrt d. 3888*d**2 Find the second derivative of 10 - 71*s - 16 + 6 - 6*s**4 + 6*s**3 wrt s. -72*s**2 + 36*s Let p(f) = -f**2 - 4*f + 8. Suppose 0 = -2*q + 2, 2*v - 4*q - 6 = -20. Let j be p(v). Differentiate 2 - 3 - j - m**2 - 1 with respect to m. -2*m Let j(h) = h**4 - 2*h**3 + h**2 + 3. Let w(a) = 173*a**4 + 8*a**3 - 4*a**2 + 13*a + 5. Let u(k) = 4*j(k) + w(k). Find the second derivative of u(q) wrt q. 2124*q**2 What is the third derivative of 22*z**2 - 50 - 6*z**6 - 53 + 104 + z**3 wrt z? -720*z**3 + 6 Let g = -24 + 28. What is the first derivative of 2*z**4 + 4*z**4 - 16*z**g + 11*z**4 + 6 wrt z? 4*z**3 What is the third derivative of -3*b**2 - 2*b**2 - 28*b**6 + 65*b - 2*b**4 + 30*b + 3*b**2 + 0*b**2 wrt b? -3360*b**3 - 48*b Suppose -28 = -3*u + 11. Find the second derivative of -16*t + u*t + 23*t + 11*t**2 + 2*t**2 wrt t. 26 Suppose 7 = -5*c + 2*w, -24 = 5*c - c + 3*w. Let u = 9 + c. What is the second derivative of 3*z**2 + u*z - 3 - 2*z + 3 wrt z? 6 Let b(r) be the first d
{ "pile_set_name": "DM Mathematics" }
= -2 + 1. Suppose 5*d - 1 - 9 = 0. Which is the closest to d? (a) p (b) v (c) 6/11 c Let c = 2.8 - 6.8. What is the nearest to -4 in -3, 3/2, c? c Let s = 0.094 - -0.106. Which is the closest to 0.05? (a) 0.3 (b) 1 (c) s c Let j(m) = -m**3 + 5*m**2. Let s be 2 - (-2 - (0 - -1)). Let l be j(s). Which is the closest to l? (a) -0.3 (b) -5 (c) -2 a Let r = 22 - 19. Which is the nearest to -2/7? (a) 3/7 (b) r (c) 2/9 c Let l be -1 - (0 + 2/4). Which is the nearest to 2/3? (a) -0.4 (b) l (c) -4/7 a Let k = -4.5 + -1.5. Let x = 13 - 7. Let y = x + k. Which is the nearest to 1/3? (a) 3/7 (b) y (c) -3 a Let w be 0 + (-44)/30 - 184/(-138). What is the closest to -1/2 in w, 2, 5? w Let s(w) = w**2 + 6*w - 3. Let t be s(-6). Which is the closest to -1? (a) 1/4 (b) -2 (c) t b Let t be (9/(-3) - -4)*8. Let c = t - 9. What is the nearest to c in -2/17, -1, 1/4? -1 Let i = -111/10 + 23/2. Which is the nearest to 2? (a) 2/3 (b) i (c) 4 a Let u = -0.09 + -4.91. Let v = -2.4 + 2.7. What is the nearest to 1/4 in u, 1, v? v Let o = -157295/9 + 17500. Let c = o - 23. What is the closest to 1 in 0.2, c, 0.4? 0.4 Let i = -3.7 - -3.8. Which is the closest to 1? (a) i (b) -0.3 (c) 3 a Let y be 2/9 - (-45)/(-81). Suppose -2*s + 5 = 13. What is the closest to y in 2, s, -3? 2 Let v(i) = 2*i - 5. Let g be v(3). Which is the closest to 3/2? (a) g (b) 2/3 (c) -2/7 a Let g = -16 + 26. Let h = g + -9. Which is the nearest to 0? (a) h (b) -2/5 (c) 0.3 c Let l = 0.05 + -0.01. Let o = l - 0.54. What is the closest to 1 in -1, o, 0.1? 0.1 Let r = -21 - -21.3. What is the closest to 1 in r, 2, 0.5? 0.5 Let r = -4.02 - -0.02. What is the closest to 1 in r, 0, 1/7? 1/7 Suppose 5*z = -1 - 19. Which is the nearest to -0.1? (a) 0.3 (b) 5 (c) z a Let b = 150 + -152. Let i = -36 + 359/10. What is the closest to -1 in -0.2, i, b? -0.2 Let v = 2.5 - 2. Let m be (0 + 0)*16/(-32). Which is the nearest to -1? (a) -3 (b) m (c) v b Let k = -644.93 - -641. Let r = 1.23 - 1.3. Let m = k + r. What is the nearest to 0.1 in -1/5, m, -0.4? -1/5 Let o = -1.6 + 1.77. Let q = o + 1.83. Let u = -0.8 - -0.3. What is the closest to -1 in u, -3/7, q? u Let y(x) = -x + 9. Let n be y(7). Suppose i - 7 + 2 = -a, 0 = n*i + 2. Let s be 0 - (0 + a/3). What is the closest to -1 in 1/4, 2, s? s Let f = 19.6 + -20. What is the closest to -12 in 3/2, -1, f? -1 Let c = -1/9 - 2/9. What is the closest to -1 in 2/9, c, 2? c Let y = 42 - 40. What is the nearest to 2 in -4, y, -2? y Let v = -0.51 - 2.49. Let p = 0 + 3. Suppose 4*l + p = t, -3*l = 5*t - 8 - 7. What is the closest to 0 in v, l, 2/7? l Let m be (-64)/(-126) - 2/7. Suppose -j - 7*j = -24. Which is the closest to -2/7? (a) j (b) m (c) 2/13 c Suppose 3*j + 5 = -4*h, 3*j + j - 5*h = 14. What is the nearest to j in 2/11, -6, 5? 2/11 Let c = 4.75 + -5. Let d = c - -0.15. What is the nearest to -2 in 1, -2/5, d? -2/5 Let x = 3.3 + 0.7. Which is the closest to -2? (a) -1 (b) 3 (c) x a Let p = -60/11 - -562/99. Let g = -3 - -7. Let t = 287/1518 - 1/138. What is the nearest to -0.1 in p, t, g? t Let f = 0.35 - 0.05. Let v = 7.5 + 13. Let d = v + -21. Which is the closest to -1? (a) f (b) d (c) -5 b Let p be 3 - 4 - (-16)/22. Let n(c) = -c**2 + 10*c - 20. Let k be n(6). What is the closest to 1 in k, p, -4? p Let u be ((-1)/(-8))/(1/6). Suppose 3*q + 2*y - 10 = 0, -21 = -5*y + 4. Which is the closest to q? (a) -1/2 (b) 1/5 (c) u b Let m = -19.3 - -19. Which is the closest to m? (a) -5 (b) -0.2 (c) -1 b Let l be 4/18 - (-16)/90. What is the closest to l in 0.1, 0.2, -1? 0.2 Let l be 0 - 706/(-460) - 1. Let y = l + 3/46. Which is the nearest to -1? (a) 0.5 (b) -2 (c) y b Let w = 8.3 - 20. Let f = w + 12. Which is the closest to f? (a) -4/9 (b) -3 (c) -4 a Let y = 0.4 + -0.4. Let s = 0.03 + -0.53. What is the closest to y in -4, s, 1? s Let f = 12 - 12.1. Let w = -235/3 - -79. Which is the closest to w? (a) f (b) -3 (c) -5 a Suppose 0 = -3*h - 10 + 25. Which is the closest to 0.01? (a) -0.2 (b) 3 (c) h a Let h = 0.2 - 0.33. Let w = -0.17 + h. What is the closest to 2/5 in 2, -3, w? w Let n be (-1)/1 - 6/(-60)*8. Which is the nearest to 0? (a) -0.4 (b) 6 (c) n c Suppose -j - 51 - 7 = -5*m, -116 = 2*j + 2*m. Let w be j/(-16) + (-12)/3. What is the nearest to 3 in -2, w, -4? w Let l(a) = 5*a + 3*a**2 - 2*a**2 + a + 2. Let t be l(-6). Suppose 3*h = r - 15, 3*r = -t*r. What is the closest to -1/2 in h, 0.2, -0.4? -0.4 Suppose 4*v - 4 = -0*v. Let j = -556 + 554. What is the nearest to 6 in v, 0, j? v Let j be 17/84 - (-4)/(-14). Suppose 28 - 138 = -5*o. Let a = o - 23. What is the closest to -2/5 in 3, a, j? j Let h = -0.1 - -2.8. Let p = 0.7 + h. Let g = p + 0.6. Which is the closest to 1? (a) g (b) 2/7 (c) -4 b Let q = 5 - 5.1. Let o = 0.047 + -2.047. What is the nearest to -3 in o, 0, q? o Suppose z - 111 = -2*z. Suppose 4*s + q + 0*q = z, 19 = s - 3*q. Suppose r + s = -r. Which is the nearest to 2/7? (a) r (b) 2 (c) 2/5 c Let m(a) = 7*a + 3. Let i be m(-1). What is the nearest to 2 in 3/8, 2, i? 2 Let n = 11/42 - -1/42. What is the closest to -2 in 5, 1/4, n? 1/4 Let i(u) = 4*u + 12. Let q be i(-2). What is the closest to q in 0.5, -1/3, -1? 0.5 Let k = 121 - 609/5. Let l = -5/13 - -64/65. What is the nearest to 1 in l, 3/8, k? l Let i(p) = 2*p**3 - 2*p. Let q be i(2). Let v(n) = -n**2 + 13*n - 11. Let u be v(q). Which is the nearest to u? (a) 3 (b) 2 (c) -0.5 b Let i be (-636)/(-132) + 4/22. Let h = 21 - 17. What is the closest to -1 in h, i, -0.2? -0.2 Let a = -214 + 3636/17. What is the nearest to 1 in a, 0.1, -4? 0.1 Let j = -0.93 + 0.83. Which is the closest to -2/17? (a) -3 (b) 0 (c) j c Let l = 0.1 - 1.1. Suppose 2 = 2*y, -5*q + 2*y = -15 + 17. What is the nearest to l in 0.2, q, 0.1? q Let d = 1/13 + 49/39. Let k = -2.6 + 2.4. Which is the nearest to 3? (a) 0 (b) d (c) k b Let i = 0.2 - 0.1. Let m = -18 + 15. Let q = -2 - -2.3. What is the nearest to 1/4 in i, m, q? q Let u = 53.1 + -53. What is the nearest to 1 in 3, u, -4? u Let y be (-2)/3*-3 + -9. Let u = y - -3. Which is the closest to -0.2? (a) -0.5 (b) -1 (c) u a Let q = 66 - 66.3. Which is the nearest to q? (a) 1/4 (b) -1 (c) 1 a Let k be (-24)/(-36)*(-246)/(-4). Let f = k - 289/7. Let w be ((-4)/30)/(2/(-6)). Which is the nearest to 0? (a) f (b) w (c) 4 a Let k = -20/3 - -134/21. What is the nearest to -1/2 in k, 0.1, 1? k Let k = 4734303/21500 + -3/21500. Let l = -752 + 531. Let f = l + k. Which is the nearest to 0.1? (a) -1 (b) -2 (c) f c Let h = -72 + 46. What is the closest to -1/2 in -2/11, 1, h? -2/11 Let q(d) = -d**2 + d. Let g be q(1). Which is the nearest to -1/4? (a) g (b) -2 (c) -1 a Let y = 2.6 - -0.4. Let t = 1 + -1. Let s be (-3)/(-2 - 1) + 3. What is the closest to -1 in t, s, y? t Let f be ((-6)/4)/(42/(-16)). Let z = 1.7 + -1.4. Suppose 4*d + 3*y = 8, d - 6 + 4 = 2*y. Which is the closest to 1/2? (a) z (b) f (c) d b Let q = 5 - 6. What is the nearest to -0.9 in 1, 3, q? q Let h = -2.1 + 0.1. Let y = 3.4 + h. Let p = y - 0.4. Which is the closest to p? (a) -1/2 (b) 4/5 (c) -2/7 b Let y be 5/(-2)*2*12/(-30). What is the closest to y in -0.2, -3, 4/5? 4/5 Let f be 2*-3*(-2)/(-4). Which is the closest to -2? (a) 1/3 (b) f (c) -0.4 b Let i = 1/87 + -353/435. Which is the nearest to 2? (a) i (b) 2/5 (c) 0 b Let m = 0.5 + -0.6. Which is the closest to m? (a) 0 (b) -2/15 (c) 0.5 b Let w = 1 + 1. Which is the closest to -3? (a) 0.2 (b) -2 (c) w b Let s be ((-6)/8)/((-345)/92). Let k = 13 - 19. Let v be ((-4)/k)/(2/(-1)). Which is the closest to v? (a) -4 (b) s (c) -0.1 c Let s = 13 - 2. Let z = 6 - s. What is the nearest to 2/3 in 4, 5, z? 4 Let q = -0.06 - 2.94. Suppose 43 = -5*d - w, -9 = 5*w - 2*w. Let g be d/6*1/4. What is the nearest to g in q, 2/11, -1? 2/11 Let r = 9 + -9.4. Let n be 1/12 - 2/(-8). Which is the closest to n? (a) -0.3 (b) 2 (c) r a Let m be (-1)/(2*3/(-6)). Let k be ((-18)/5 - -3) + m. What is the closest to k in -2/3, -3/2, 3? -2/3 Let v = -84 - -83. Which is the closest to v? (a) -2/3 (b) 0.5 (c) -2/15 a Let b(y) = y - 6. Let s be b(5). Let o = -2 + 5. What is the closest to s in -3, -1/10, o? -1/10 Let h = 0.33 - -0.07. What is the closest to 2
{ "pile_set_name": "DM Mathematics" }
l))/l)) assuming l is positive. l**(63/4) Simplify ((p**(2/5))**(-11))**16 assuming p is positive. p**(-352/5) Simplify (t**1)**44/(t/(t**(-3)*t))**(-2/37) assuming t is positive. t**(1634/37) Simplify (i**(-1)/i*i)**(2/13)/(i**(2/9)*i*i*i*i/i**4) assuming i is positive. i**(-44/117) Simplify (j**(-2/11)/(j*j*j/(j/(j**9*j*j)*j)))/(j**(-9)*j*j**6) assuming j is positive. j**(-112/11) Simplify ((y*y**(2/5)/y)/y*y)**(-11/9)/(y/((y/(y/(y/(y/(y*y*y**(-2)*y*y)))))/y))**(1/23) assuming y is positive. y**(-22/45) Simplify ((m**(1/2)/m)/m)**27 assuming m is positive. m**(-81/2) Simplify (z**(-11)/z**(-2/3))/((z/(z/(((((z*z**7/z*z)/z)/z)/z)/z)))/(z**(-3)*z)) assuming z is positive. z**(-49/3) Simplify k*k/(k*k*k/k**(-7))*k*k*k/(k*k**(-1/6))*(k**(-2)*k*k)**44 assuming k is positive. k**(-35/6) Simplify (h*h/h**(19/3)*h*h)/h**1 assuming h is positive. h**(-10/3) Simplify (u**(1/6)/(u/u**(1/2)))/((u**(-3)/u)/(u**(-4/7)/u)) assuming u is positive. u**(44/21) Simplify (m*m**(2/57)/m)/(m/(m/m**(-32))) assuming m is positive. m**(1826/57) Simplify ((j/(j/j**(-3/8)*j*j)*j*j)/(j/(j/j**(2/39))))**(-17) assuming j is positive. j**(2261/312) Simplify j**(-2/45)*j/(j**(-4)/j) assuming j is positive. j**(268/45) Simplify (k/k**(-1/4))**(17/6)/(k/(k*((k*k**(-5))/k)/k)*k/(k**6/k)) assuming k is positive. k**(37/24) Simplify t**(3/17)/t*t*t*(t/(t*t**18))/t*t*t*t assuming t is positive. t**(-252/17) Simplify j**(-29)/(((((j*j**1)/j)/j)/j)/j) assuming j is positive. j**(-27) Simplify i/(i*i**2)*i/(i**6*i)*(i**(-1))**(-12) assuming i is positive. i**4 Simplify ((l/(l/l**(-1)*l))**(-1/2))**(-48) assuming l is positive. l**(-48) Simplify (o/(o/o**(-1/4)))**(2/119) assuming o is positive. o**(-1/238) Simplify (c*(c**0*c)/c)**40*((c**(-2/3)*c)/c)**(2/129) assuming c is positive. c**(15476/387) Simplify (t**41)**(3/26) assuming t is positive. t**(123/26) Simplify (m**(1/7)/m)**(-1/7) assuming m is positive. m**(6/49) Simplify j**(-2/3)/(j/j**(1/4)) assuming j is positive. j**(-17/12) Simplify ((s/(s*s**7))/(s*(s*s**(1/3)/s)/s*s*s*s))**(8/3) assuming s is positive. s**(-248/9) Simplify t**(-12)/t*(t**(-9)/t)/t assuming t is positive. t**(-24) Simplify (n*n/(n*(n*(n/(n/n**(1/4)))/n)/n))**(3/19)/(n**(-1))**12 assuming n is positive. n**(933/76) Simplify (l**11/((l**(2/7)/l)/l))/(l**(-8)/(l*l/l**(3/5))) assuming l is positive. l**(774/35) Simplify ((c**(-9)/c)/c**(-3/2))**(-7/5) assuming c is positive. c**(119/10) Simplify (m**(-1/4))**(-4/3)*(m**0)**5 assuming m is positive. m**(1/3) Simplify (((s*s**(2/15))/s)/(s*s**(-1)*s))/(s**0)**(-1) assuming s is positive. s**(-13/15) Simplify m**(-1/4)/(m/(m/((((m*m**(-1/11)*m*m)/m)/m*m*m)/m*m))*m) assuming m is positive. m**(-183/44) Simplify (z**(-2/7))**14 assuming z is positive. z**(-4) Simplify ((u**(-7)*u)/u)**(2/25) assuming u is positive. u**(-14/25) Simplify ((q**9*q)**34)**(2/15) assuming q is positive. q**(136/3) Simplify ((r**0)**(4/9))**(3/23) assuming r is positive. 1 Simplify (((o**11*o)/o*o)/o)/o**(4/13) assuming o is positive. o**(139/13) Simplify ((y/y**(-1/4))/(y/(y/(y/y**(2/11)))))/(y**(1/3)*y*y**9*y) assuming y is positive. y**(-1439/132) Simplify z**3/z**(-1/14) assuming z is positive. z**(43/14) Simplify (b/(b/b**(3/4))*b**(-5/4))**(-1/2) assuming b is positive. b**(1/4) Simplify (r**(-7/4))**(-9/8) assuming r is positive. r**(63/32) Simplify ((f/(f/f**4))**(-2/23))**(-1) assuming f is positive. f**(8/23) Simplify (k*k/(k*k**(1/3)))**(-1)/(k*k*k/(k*k/k**(-8))*k**0/k) assuming k is positive. k**(22/3) Simplify (s/s**(-2/9))/(s/s**(-1/26)) assuming s is positive. s**(43/234) Simplify u**(-2/9)*u**(2/7)*u*(u/u**(-2))/u*u*u*(u**0/u*u)/u assuming u is positive. u**(256/63) Simplify o**(2/57)*o**(-3/8) assuming o is positive. o**(-155/456) Simplify (p**(-4)/(p/((p/(p*p**(-2/9)))/p)))/(p**(-2/19)/(p*p**(-1/2)*p)) assuming p is positive. p**(-1427/342) Simplify g**(-1/2)*(g*g**(-9))/g assuming g is positive. g**(-19/2) Simplify ((f**(-2/7))**(2/35))**(-27) assuming f is positive. f**(108/245) Simplify (i*i**(2/7))**(-21)*(i*i/(i**1*i))/(i*i/(i**(1/4)/i)) assuming i is positive. i**(-119/4) Simplify (x**1/x)**(-21/2)*(x*x/x**(2/19))/x**1 assuming x is positive. x**(17/19) Simplify ((b/(b*b**(-2/17)*b))/b*b)**(12/7) assuming b is positive. b**(-180/119) Simplify (p**(1/28))**(-28) assuming p is positive. 1/p Simplify a**(-2/9)*a/a**(4/11)*(a*a*a/a**1)**(2/95) assuming a is positive. a**(4291/9405) Simplify ((u*(u/(((u/((u*u**(2/7)*u)/u))/u)/u)*u*u*u)/u)/(u/(u/((u/(u*u**7*u))/u*u))))**26 assuming u is positive. u**(2600/7) Simplify (o**3/o**(-1))/(o*(o*o*o*o**(2/7)*o)/o*o)**19 assuming o is positive. o**(-675/7) Simplify s**23*s*s**(-5/3) assuming s is positive. s**(67/3) Simplify (a*a*(a*a**(-5))/a*a/((a*a**(1/8))/a))/(a*a/a**1)**49 assuming a is positive. a**(-409/8) Simplify (x/(x**(-1/10)*x*x))**(-6/35) assuming x is positive. x**(27/175) Simplify (h**(-2/9)*h*h)**(-20/13)/(h**(-5/2)*h**(2/5)*h) assuming h is positive. h**(-1913/1170) Simplify (f**(-2))**(-46)*((f**(1/2)/f)/f)**(-18) assuming f is positive. f**119 Simplify ((c**(-1)*c)/c)**30/((c*c/c**(1/13))/c**1) assuming c is positive. c**(-402/13) Simplify (t**(-41)*t)**(-42) assuming t is positive. t**1680 Simplify p**(-15/4)/(p/p**(-4)) assuming p is positive. p**(-35/4) Simplify (l**(-5)*l*(l**(-1/2)/l)/l)**(3/17) assuming l is positive. l**(-39/34) Simplify (j**(-1)/j**(-1/3))**(-7) assuming j is positive. j**(14/3) Simplify (s/s**(2/3))/((s**(-2/7)/s)/s) assuming s is positive. s**(55/21) Simplify (a/(a**26/a))/a*a/a**(-4) assuming a is positive. a**(-20) Simplify k**(-18)*k**(-9)*k assuming k is positive. k**(-26) Simplify (u**(-1))**(-49)*(u**(-1)/u)**28 assuming u is positive. u**(-7) Simplify u**(-8)*u**4*(u*u**(-5/3))/u**(-5) assuming u is positive. u**(1/3) Simplify (b*b*b**(-5/4)/b)/b*b*b/(b/((b*((b/((b/b**(-8))/b)*b*b)/b)/b)/b)) assuming b is positive. b**(-29/4) Simplify v**(-1/6)*v/v**1*v**(-4)*v*v**(-7) assuming v is positive. v**(-61/6) Simplify v/(v*v**4)*v**(-6/7)*v**(-2)*v*v/((v*v*v*(v/(v/(v/(v*v/v**(1/2)))))/v)/v) assuming v is positive. v**(-75/14) Simplify (h*h/h**(-9))/(h/(h*(h*((h*h**3*h)/h)/h*h)/h*h))*(h**(1/4))**12 assuming h is positive. h**19 Simplify ((h**(-4/7)*h)/h**11)**19 assuming h is positive. h**(-1406/7) Simplify z/z**(-1/3)*z**(-3/4)*((z**6/z)/z)/(z/z**(2/3)) assuming z is positive. z**(17/4) Simplify (f*(f*f**6/f*f*f)/f*f)**(5/7) assuming f is positive. f**(45/7) Simplify (i/(i/(i*i*i*i**1/i)))**34/(i**(-4)*i*((i/i**(2/5))/i)/i) assuming i is positive. i**(532/5) Simplify (((f/f**(-2/3))/f)**(-34/5))**(-2/21) assuming f is positive. f**(136/315) Simplify ((m*m**(2/11))**(4/11))**(-8/3) assuming m is positive. m**(-416/363) Simplify o**0/(o/(o**(-7)*o)) assuming o is positive. o**(-7) Simplify (o**(2/5))**(8/9)*o**(-6)*o**(-7/5) assuming o is positive. o**(-317/45) Simplify (((s/s**(-10))/s)/s)/s*s**18/s assuming s is positive. s**25 Simplify (f**(1/3)/f)**(2/9)/((f*f*f**(-1/2))/f)**5 assuming f is positive. f**(-143/54) Simplify v**10*v*v*v**(-34) assuming v is positive. v**(-22) Simplify ((f/(f*f**(-1/7)/f*f)*f)/f**1)/(f**(-2)*f/(f**(-1/3)/f)) assuming f is positive. f**(-4/21) Simplify (j**(-5)/j)**(-41) assuming j is positive. j**246 Simplify p/(p*p*p*p*p**(-5/2))*p/(p*p**2)*(p/p**(-1))/(p*p**(3/7)) assuming p is positive. p**(-27/14) Simplify (m*m**9)/(m*m**(-9)/m*m*m)*m**(1/11)*m/(m/((m*(m/(m/m**(2/15))*m)/m)/m)*m) assuming m is positive. m**(2677/165) Simplify (x/((x**(-7/2)/x*x)/x))/(x*(x*x**(1/4)*x*x)/x) assuming x is positive. x**(9/4) Simplify (x**1/x)**33*(x*x/(x**2*x))/x**(-2/7) assuming x is positive. x**(-5/7) Simplify (m*m*m**(-8))/(m/((m/(m**18*m))/m)) assuming m is positive. m**(-26) Simplify ((d*d**(-3/8))**(-19))**(-3/19) assuming d is positive. d**(15/8) Simplify (z*z*z**9)**(2/63) assuming z is positive. z**(22/63) Simplify (g/(g**9/g))**50 assuming g is positive. g**(-350) Simplify p**(-8)/p**(-14) assuming p is positive. p**6 Simplify a*a**(-4)*a**3/a assuming a is positive. 1/a Simplify f**(-28/5)/f**(-34) assuming f is positive. f**(142/5) Simplify (t**(2/3))**(2/21)/((t**(-1/2)*t*t)/t**(-2)) assuming t is positive. t**(-433/126) Simplify (c/c**(1/2))**(2/19)/(c/c**(2/5)*c**(-4/3)) assuming c is positi
{ "pile_set_name": "DM Mathematics" }
= 11*j - u*j + 96. Calculate the common denominator of (114/20 + -7)*70/j and -11/6. 48 Let v be 16/(-14)*(-28)/8. Suppose -i = -v*i. Let b = 6 - i. Calculate the lowest common multiple of b and 5. 30 Let c(d) = -8*d**3 - 18*d**2 + 21*d + 15. Calculate the lowest common multiple of 4 and c(-7). 3460 Let w = -1430866/1715 - 26/343. Let y = w - -146054/175. Calculate the common denominator of y and 91/40. 1400 Let n = 372174 + -203207153/546. Find the common denominator of 53/33 and n. 6006 Let z = 52 + -36. Let s(y) = 83*y - 5790. Calculate the lowest common multiple of s(70) and z. 80 Let j(t) = t**3 - 16*t**2 - 19*t + 28. Let a be j(17). Calculate the least common multiple of 2 and a/(96/(-646)) - (-24)/(-64). 40 Let z(p) = -44*p**2 - 11*p - 4. Let i be z(7). Let l = 261736/117 + i. Find the common denominator of l and 48/91. 819 Let a = -21863/2659 + 1/23931. What is the common denominator of 47/1165 and a? 10485 Let q = 1919270/257 - 7468. Find the common denominator of 87/1028 and q. 1028 Suppose -848*r = -850*r - 6. Let c = 1570 + -23617/15. What is the common denominator of c and (-2)/r - 0 - 260/(-50)? 15 Suppose -641 + 509 = -11*l. Let y(t) = 11*t - 4. What is the lowest common multiple of y(6) and l? 372 Let z = 223 - 221. Let c(b) = b**2 - 2*b + 6. Calculate the least common multiple of 279/4 - 14/(-56) and c(z). 210 Let b = -51 + 51. Suppose -8*d + 45 = -3*d. What is the lowest common multiple of d/(-6)*(b + -4) and 10? 30 Let z = 259003 - 158149. Let f = z + -54563. Let r = 2870143/62 - f. Find the common denominator of r and 103/6. 186 Let x(f) = -39*f + 74. Let g be x(-10). Suppose 7*t - g = 2154. What is the least common multiple of t and 12? 2244 What is the common denominator of ((-784)/(-192) + -3 + -1)/((-15)/(-1210)) and (-58)/(-120) + (-1)/2? 180 Let y = 25091/42 - 4316/7. Calculate the common denominator of y and -3*(2 + 410/(-144)). 24 Let m = -790227/61 + 12954. Let g = m - 654/1159. Let y = 46409/4566 - -2/761. What is the common denominator of y and g? 114 Suppose -3374*f = -3384*f + 72450. Calculate the smallest common multiple of 63 and f. 7245 Let p = 21 + 3. Let o = -1986 + 2026. Calculate the smallest common multiple of o and p. 120 Let x = 8 - 5. Suppose x*s = b + 13, -8 = -2*s - 2*b + 6. Suppose s*m - 54 - 46 = -5*l, -2*m = -4*l - 40. Calculate the smallest common multiple of m and 22. 220 Let x = -465569 - -723959746/1555. Find the common denominator of 31/15 and x. 4665 Let u be (-4 + 7)*2/(-3). Find the common denominator of ((-940)/(-564) + (-142)/24)*-5 and u/2 + (-393)/(-36). 12 Let x be (1 - 693/(-7))*(0 - -2). Suppose 119*r - 109*r = x. What is the lowest common multiple of 194 and r? 1940 Let g = -2055 - -4725. What is the lowest common multiple of 14 and g? 18690 Let u = -70874 + 11056393/156. Find the common denominator of u and -19/780. 780 Suppose -2*q - 5*y = -29, -q + 4*y - 13 = y. Suppose d + q*d = 351. What is the lowest common multiple of 3 and d? 117 Let r = -8515 - -10209. What is the least common multiple of 462 and r? 5082 Suppose 0 = 20*d - 668421 - 310839. Let l be ((-77)/2)/(68/86482). Let j = l + d. What is the common denominator of j and -9/8? 136 Suppose -39*q + 24*q = -180. What is the smallest common multiple of 22 and (-9 + q)*12/9? 44 Let r = -88 - -92. Suppose 4*n - 68 = 4*o, 2*n + r*o - 7 - 15 = 0. Calculate the smallest common multiple of n and 27. 135 Let k = 8/55111 - 5347655/13006196. Calculate the common denominator of k and 41/1888. 1888 Suppose q + 4 = 3*q. Suppose 0 = 2*v - 4*p - 8, -2*v - 11 = 2*p - 1. Let w(u) = 40*u + 82. Calculate the smallest common multiple of q and w(v). 2 Let z = -3121/2550 + 132/425. What is the common denominator of 94/(-36) + 64/16 and z? 450 Let b = 96 + -63. Let z = 1 + 14. Calculate the least common multiple of b and z. 165 Let p(s) = -3*s**3 + 2*s**2 - 1. Suppose 50*q + 671 - 17271 = 0. Calculate the lowest common multiple of p(-1) and q. 332 Let w = -3419944 + 246162107/72. Let d = w + 9220/9. What is the common denominator of d and 67/8? 72 What is the common denominator of 71/35 and ((-19)/(-10) - -2)/((-7169)/(-134))? 3745 Let w be (-3)/(-4) + ((-987)/(-12))/(-7). Let u = w - -18. What is the least common multiple of u and 14? 14 Suppose -8 = 5*f - 38. Suppose 0 = -3*r - 5*k + 49, 0 = -10*r + f*r - 5*k + 57. Calculate the lowest common multiple of r and 120. 120 Suppose -48 = 7*m - 10*m. Let w be ((-6)/15)/((-4)/40). Suppose 3*b = w + 2, 4*p + 5*b - 50 = 0. Calculate the least common multiple of p and m. 80 What is the common denominator of 119/6 + (-1)/3 and (-38*6/72 + 3)/(19/(-2698))? 6 Find the common denominator of 6636/(-560) + ((-102)/24 - (-3 + -1)) and -33/785. 1570 Let y = 5156110 - 623892834/121. Let u = y + 1471671/50336. What is the common denominator of u and 13/20? 2080 What is the common denominator of ((-518)/(-4)*(-352)/(-308))/(-6) and 43/111? 111 Let k = -65 + 159. Let c = k + -84. Calculate the least common multiple of c and (-4)/(-4) - 5 - -8. 20 Let u = -1130 - -1226. Calculate the lowest common multiple of -10*(-1 + 5)/(-2) and u. 480 What is the smallest common multiple of 39 and (-835512)/(-465) - (-56)/(-20)? 1794 Calculate the lowest common multiple of 1071 and (18/(-8))/(471/(-92316)). 7497 Let j be 6/9 - (-3)/((-18)/(-464)). Let x = 87 - j. Suppose -s + x = -d + 2*d, -s = 2*d - 14. Calculate the least common multiple of s and 6. 12 Let y be 16/(-88) + 108/(-11). Let j = -3951 - -106717/27. Calculate the common denominator of (-2)/y + (-598)/240 and j. 216 Let v be (-390)/(-20)*8/12. Find the common denominator of -28/3 and v/26 - (-190)/(-28). 21 Let s = -170357 - -126234557/741. Find the common denominator of s and -52/57. 741 Let g be (-1)/((-477)/1449 - 4/(-14)). Let v = 34 - g. What is the common denominator of 30/(-44) - -1 - (-11 + v) and 3/22? 22 Suppose -35 = 11*x - 167. Find the common denominator of 8/151 and (-20)/x - (-380)/(-24). 302 What is the common denominator of (-75)/6*(4 + (-145)/70*2) and -57/4646? 32522 Let l be (-14)/(-2) + -1 + -1. Suppose l*w - 3*r - 7548 = -7*r, 0 = 5*w - 5*r - 7530. Let b = w + -9101/6. What is the common denominator of 50/7 and b? 42 Let y = -103420 - -375621461/3632. Find the common denominator of -41/44 and y. 39952 Let b be -5 - (-6 - -2) - 22*2. Let n be 5/(-20) + b/12. Calculate the smallest common multiple of (-2)/(-8) - 95/n and 10. 120 Let k be 33/462 + 7787146/(-336). Let j = k + 23181. Calculate the common denominator of 33/72 + (-1 - 1) and j. 24 Let p = -2270 + 2282. Let r = 28 - -62. Calculate the least common multiple of r and p. 180 Suppose -8*j + 5*j - 3 = 0. Let b = j - -19. Calculate the lowest common multiple of b and -3 + 18/(7 + -4). 18 Let j = -1610151186857/145241632980 - -343/24231170. Let v = 8/2997 + j. What is the common denominator of 1/63 and v? 252 Let u = 871895/1253316 + -1/54492. Calculate the common denominator of -79/42 and u. 966 Suppose y - 4*l - 4 = 0, 4*y + 2*l + 4 = 56. Suppose 0 = -4*w - 18*w + 1320. What is the smallest common multiple of y and w? 60 Suppose 15*h = 14*h + 2. Suppose 2*l + 3*p - 5 = -1, 0 = -2*p - 4. Calculate the common denominator of -73/33 and ((-410)/24)/l - h. 132 Let w(a) = 3*a**3 - 4*a**2 + 4*a - 24. Calculate the smallest common multiple of 22 and w(4). 1320 Let r(a) = 8*a**3 + 46*a**2 + 14*a - 86. Calculate the least common multiple of r(5) and 3104. 34144 Suppose -3*s + 5*r = 39, 0*s - 52 = 4*s - 2*r. Let n = 25 + s. Suppose -n - 8 = -z - 4*i, -8 = -z - i. What is the least common multiple of 9 and z? 36 Suppose -a = 3*o - 55, -22 + 32 = 2*o. Calculate the smallest common multiple of a and 1240. 1240 Let r = 449 - -7874. Let b = 66499/8 - r. Find the common denominator of b and 46*(-104)/(-598) - (-222)/(-4). 8 Let b = -663 - -678. Calculate the common denominator of 102*b/10395 + 4/(-14) and 85/12. 924 Let v be 4/(-2) - 285 - -4. Let u = -259 - v. Calculate the least common multiple of u and 27. 216 Suppose -4*c - 100 = -9*c. Suppose 0 = 1916*v - 1922*v + 90. What is the common denominator of 43/4 and (-1)/c + 9/v? 20 Let y(l) = -15*l**2 - 6*l - 12. Suppose -20 = 4*n - 0*n + 2*r, -2*n - 14 = 3*r. Let a be y(n). What is the least common multiple of 3 and a/(-39) - (-2)/13? 6 Suppose -5*s +
{ "pile_set_name": "DM Mathematics" }
4 + sqrt(13) - (sqrt(13)*2 + sqrt(13))*6 - ((sqrt(78) - (sqrt(78) - (sqrt(78)*-2 + sqrt(78))))*-5)/sqrt(6))**2. 4212 Simplify (-3 + 4*(sqrt(1539) + -2 - sqrt(1539))*4)**2. 1225 Simplify (sqrt(126) - -5*(sqrt(126) + (sqrt(126) - (sqrt(126) - 2*sqrt(126)))))/sqrt(2)*3*-2*-3. 864*sqrt(7) Simplify 4*(2*(5 + -5*sqrt(637))*-2)**2. -22400*sqrt(13) + 1020800 Simplify ((sqrt(6912) + 2)**2 + sqrt(6912) + -1)*4*-4. -110640 - 3840*sqrt(3) Simplify 3*(sqrt(245)*2 + 4)*-4. -168*sqrt(5) - 48 Simplify (sqrt(108)/((sqrt(324)/sqrt(6))/sqrt(6)))/(sqrt(66)/sqrt(99) - (sqrt(864)*-1 - sqrt(6))). 3*sqrt(2)/40 Simplify (sqrt(96)/(sqrt(648)*1))/((sqrt(54) - (sqrt(54) + (sqrt(54) + sqrt(216)/sqrt(4))*3 + sqrt(54)))/sqrt(9)). -sqrt(2)/63 Simplify ((((sqrt(6)*1 - sqrt(6))*1 - sqrt(6))*-4)/(((sqrt(36) + 1*sqrt(36))*-4)/sqrt(12)))**2*-6. -3 Simplify 2 + (-2 + 2 + sqrt(891))**2 + 3. 896 Simplify 3*-4*(-2*(((sqrt(1100) + -4 + sqrt(1100))*3 - sqrt(1100)) + sqrt(1100)))**2. -1907712 + 69120*sqrt(11) Simplify 2 + (3*sqrt(242) + (sqrt(8)/(sqrt(32)/sqrt(8)) - sqrt(2)))**2. 2180 Simplify 4 + ((sqrt(500)*-1 - sqrt(880)/sqrt(11)) + 5)**2 + -3. -140*sqrt(5) + 1006 Simplify ((sqrt(13) - (5 + sqrt(143)/sqrt(11))) + 4*sqrt(13)*5)*-4. -80*sqrt(13) + 20 Simplify -2*(2*sqrt(288) + -3 + sqrt(10)/(sqrt(80)/sqrt(4))). -49*sqrt(2) + 6 Simplify 0 + -5*sqrt(18)/sqrt(6) - ((sqrt(363) + (0 + sqrt(363) - sqrt(363)))**2 + sqrt(3) + 4). -367 - 6*sqrt(3) Simplify (3*sqrt(324)*4)/(sqrt(132)/(sqrt(33)/sqrt(3)) - (sqrt(300) - sqrt(12))*6). -36*sqrt(3)/23 Simplify ((sqrt(33) - (3*sqrt(66))/sqrt(2))/(sqrt(30)/(sqrt(60)/sqrt(6))))**2. 44 Simplify (4*sqrt(117)*6 - sqrt(117))/(sqrt(729)*3). 23*sqrt(13)/27 Simplify (sqrt(20) - -2*(sqrt(20) - sqrt(1620)) - sqrt(20))/(sqrt(120)/(sqrt(72)/sqrt(6))). -16*sqrt(2) Simplify ((-1*sqrt(190)*5*-1)/(2*sqrt(810)*-2 - sqrt(810)))**2. 19/81 Simplify (2*(2 + sqrt(200)) - (0 + sqrt(200) - sqrt(200))**2*4) + 1. 5 + 20*sqrt(2) Simplify 6*(-4 + sqrt(1792)*1 + 0)**2. -768*sqrt(7) + 10848 Simplify 5*(((sqrt(7) + sqrt(7)*2 + -3 - ((sqrt(84)*-1 - sqrt(84)) + sqrt(84))/sqrt(12))**2 - (-1 + sqrt(35)/(sqrt(45) - sqrt(5)))) + 3). -245*sqrt(7)/2 + 625 Simplify (-6*(sqrt(378) - sqrt(378)*1))/(sqrt(66)/(sqrt(33)/sqrt(3)) - sqrt(96)*1). 0 Simplify ((3 + (-1 + sqrt(208))**2)*4 + 2 + -5)*-6. -5070 + 192*sqrt(13) Simplify 5*(sqrt(3)*2 + -1)**2 - 1*(2 + sqrt(3))*-5. -15*sqrt(3) + 75 Simplify -1 + -6*(2*(1 + (sqrt(891) - (sqrt(891) + -5 + (sqrt(891) - -1*sqrt(891))))))**2. -86401 + 5184*sqrt(11) Simplify 4 + (1*sqrt(539))**2 + sqrt(539) + 6*(sqrt(539) - (sqrt(539) + 3 - sqrt(539))). 49*sqrt(11) + 525 Simplify (3*sqrt(48))/(sqrt(16)/sqrt(4)*-5) + (1 + (sqrt(300) + -1)*-5)**2. -3006*sqrt(3)/5 + 7536 Simplify 6*(6*(sqrt(200) + sqrt(200)*-2) + (sqrt(200)*4)**2 + -4). -360*sqrt(2) + 19176 Simplify (1*(sqrt(68) + 1*sqrt(68)))/sqrt(4) + sqrt(153) + ((sqrt(153) + -2 + sqrt(153))*-2)**2 + sqrt(153). -88*sqrt(17) + 2464 Simplify (sqrt(126) + 4*2*sqrt(126) + sqrt(126))/((sqrt(35) + -2*sqrt(560))/sqrt(5)). -30*sqrt(2)/7 Simplify 5 + ((sqrt(384) + -2*sqrt(384))/((sqrt(48) - sqrt(3))*-3) + 4)**2. 64*sqrt(2)/9 + 1829/81 Simplify (4*(5 + (sqrt(147) - (sqrt(147) + (sqrt(147) - (sqrt(147)*-1 - sqrt(147))) + 3)) + 6*sqrt(147)*2 + sqrt(147) + -3))**2. -2240*sqrt(3) + 235216 Simplify (-2*(-4*sqrt(19)*6 - (sqrt(19) + -3 + sqrt(19) + 0)))**2. -624*sqrt(19) + 51412 Simplify 6*((sqrt(2057) + 1)*3 + (-1 + sqrt(68) - (sqrt(17) + 0 + 4))**2). 270 + 138*sqrt(17) Simplify 6*((3 + sqrt(176)*-4)**2 + -2*(sqrt(176) - (sqrt(176) + 3 + sqrt(176)))**2). -864*sqrt(11) + 14730 Simplify (sqrt(4840)*-2 - sqrt(4840) - 1*sqrt(1960))/((sqrt(288) + sqrt(288)*-2)*-6 + sqrt(288)). -20*sqrt(5)/21 Simplify ((sqrt(72)/sqrt(3)*3 - (sqrt(120)*2)/sqrt(5))/(2*sqrt(108)/(sqrt(9)*1)))**2. 1/2 Simplify (-3 + 0 + sqrt(475) + 2*sqrt(475)*-2 + -5)**2 + -5. 240*sqrt(19) + 4334 Simplify ((sqrt(3648) - sqrt(3648)*-3) + sqrt(3648) - sqrt(3648) - sqrt(3648))/(sqrt(21)/(sqrt(7) - (sqrt(7) + sqrt(7)*3)))*4 + -5. -288*sqrt(19) - 5 Simplify 5 + -4 + 2 + (sqrt(72)*2 - sqrt(72)). 3 + 6*sqrt(2) Simplify (2*sqrt(171) - sqrt(171))**2*-3 + sqrt(171) + ((-2*(sqrt(152)*1 - sqrt(152)))/sqrt(8))**2 + 0. -513 + 3*sqrt(19) Simplify ((sqrt(130)/(sqrt(30)/sqrt(3)) + sqrt(52)*-5 - ((sqrt(13) + sqrt(26)/sqrt(2) - sqrt(13)) + 3 + sqrt(234)/sqrt(2))) + -5)**2. 208*sqrt(13) + 2261 Simplify -4 + (sqrt(68) + 3*(sqrt(68) - (sqrt(68) - -1*sqrt(68))) - (sqrt(68) - 2*(sqrt(68) - 1*sqrt(68))))/(sqrt(28)/(-2*sqrt(343) + sqrt(343))). -4 + 21*sqrt(17) Simplify (sqrt(210)/(sqrt(28)/sqrt(4)))/(-3*sqrt(96) - sqrt(96)). -sqrt(5)/16 Simplify -6*(3*6*sqrt(2448) + 4). -1296*sqrt(17) - 24 Simplify 2 + (-4 + sqrt(68) + -2 + sqrt(68) + -1*sqrt(68)*2)**2. 38 Simplify ((sqrt(88)*1*-5)/(sqrt(24)/(sqrt(12)/sqrt(4))))**2 + 3. 278 Simplify (sqrt(190) + sqrt(190)*1*-1)/(sqrt(60)/sqrt(24) + sqrt(10)) - (sqrt(475) + 2*sqrt(475))**2*-3*4. 51300 Simplify (-1 + ((sqrt(8)*-2*6)/sqrt(4) + (sqrt(2) + -1)*-1 + -3)*-5)**2. 1170*sqrt(2) + 8531 Simplify ((-3 + sqrt(99) + -3)*3 + 3 + -1)**2. -288*sqrt(11) + 1147 Simplify (4*-1*-3*sqrt(102))/(sqrt(66)/(sqrt(297)/sqrt(3))). 36*sqrt(17) Simplify (2*2*sqrt(833) + sqrt(833) + -4)**2 + 4 + (sqrt(833) - (1 + sqrt(833)))**2*-6. -280*sqrt(17) + 20839 Simplify (sqrt(170)/(-2*sqrt(10)) - sqrt(17))**2 + (2 + sqrt(425) + sqrt(17))**2 + (5*1*sqrt(119))/sqrt(7). 29*sqrt(17) + 2617/4 Simplify -3 + (2 + -5*(sqrt(567) + -2 + sqrt(567)) + -4)**2 + -3. -1440*sqrt(7) + 56758 Simplify (-2*(sqrt(343) + 2*sqrt(343))*-5 - 6*sqrt(112)*-2*-5)**2. 6300 Simplify (1*sqrt(133)*1)/(sqrt(56)/(sqrt(8)*-3) + sqrt(7)) + 3. 3 + 3*sqrt(19)/2 Simplify -3 + ((0 + sqrt(125) + sqrt(5))*-3)**2 + (1 + sqrt(405) + sqrt(5) + (sqrt(45) - (1 + sqrt(45))))**2. 2117 Simplify 2*(-1 + sqrt(108)) + -4 - (-2 + (6*-2*sqrt(75))**2). -10804 + 12*sqrt(3) Simplify -3 + (sqrt(18)/(sqrt(12)/sqrt(4)))/(sqrt(8)/(sqrt(36) + sqrt(4))). -3 + 4*sqrt(3) Simplify 1 + ((-6*sqrt(77)*-5 - sqrt(77) - sqrt(77))/sqrt(7))**2 + (sqrt(44) + 2*sqrt(44) + sqrt(44))/sqrt(4) + 4. 4*sqrt(11) + 8629 Simplify -3 + -1*sqrt(931) + sqrt(931) + 2*(sqrt(931) + 0) + -5*(-2 + sqrt(931) + 1). -21*sqrt(19) + 2 Simplify ((sqrt(540)*-5)/sqrt(3))/(sqrt(16)*-5*6). sqrt(5)/4 Simplify sqrt(931) + (-1 + sqrt(931) + 4)**2 + sqrt(931) - (2 + -1 + sqrt(475))**2. 46*sqrt(19) + 464 Simplify ((-2*(sqrt(77)*1 + sqrt(77)) - sqrt(77)) + (sqrt(77)*-1 - sqrt(77))*-1)/(sqrt(14)/((sqrt(36)/sqrt(3))/sqrt(6))). -3*sqrt(11) Simplify (1 + sqrt(108))**2 + -1 + (sqrt(3) + 0)**2 + (((1 + sqrt(432))*-1)**2 - sqrt(432))*-2. -755 - 12*sqrt(3) Simplify -5 + ((sqrt(1377) + 2 - 5*(-1 + sqrt(17))) + 5)**2. 96*sqrt(17) + 411 Simplify ((sqrt(36)*4)/sqrt(3))/(sqrt(32)/sqrt(392)). 28*sqrt(3) Simplify (2 + (sqrt(180) - (-3*sqrt(180))**2))*-6 + 4. -36*sqrt(5) + 9712 Simplify (-3 + 1*(sqrt(90)/sqrt(2) - sqrt(5)) + -1*-5*(sqrt(5) + 0) + -1)**2. -56*sqrt(5) + 261 Simplify (-1*sqrt(1800)*-2)/(-4*(sqrt(96) + sqrt(96)*1 + sqrt(96) - sqrt(96) - sqrt(96))) + -2. -5*sqrt(3)/4 - 2 Simplify 6*(sqrt(49) + 2*sqrt(49)*-1)/(sqrt(70)/(-3*sqrt(10))). 18*sqrt(7) Simplify (2*sqrt(95)*6 - sqrt(95)*-1*4)/((sqrt(30)/sqrt(3))/sqrt(2) + -2*sqrt(245) + sqrt(245)). -8*sqrt(19)/3 Simplify 2 + (sqrt(13)*-1*5)**2 - -2*(sqrt(13) - (sqrt(65)*2 - sqrt(65))/sqrt(5)). 327 Simplify ((-3*1*sqrt(209) - sqrt(209)) + ((sqrt(209)*-2 - sqrt(209)) + sqrt(209) + sqrt(209))*6)/(sqrt(275)*6 + (sqrt(33)/sqrt(3) - sqrt(11) - sqrt(11))*-4). -5*sqrt(19)/17 Simplify -2*(-1 + sqrt(684) + 2)*5. -60*sqrt(19) - 10 Simplify ((sqrt(152)/sqrt(8) + 2)**2 - (0 + sqrt(1216)))*1. -4*sqrt(19) + 23 Simplify -3 + 2*(((-4 + (sqrt(2057) - (sqrt(2057) + -1 - sqrt(2057))))**2 - sqrt(2057)) + (sqrt(2057) - sqrt(2057)*1) + 3)*4. -616*sqrt(17) + 16549 Simplify (4*(sqrt(30) - (sqrt(360)*2)/sqrt(12)))/((sqrt(36)/sqrt(54) + sqrt(6))*6). -sqrt(5)/2 Simplify (sqrt(363) + sqrt(363)*1)**2 + -1 - sqrt(363)*2*1 - (6*(-2 + sqrt(363) - sqrt(363))**2 + (sqrt(363) - (-2 + ((sqrt(363)*-2)**2 - sqrt(363))))). -44*sqrt(3) + 2877 Simplify ((4 + sqrt(605) + 3 - (sqrt(605) + -5)*1)*-1)**2. 144 Simplify (3*sqrt(352)*-1)/(sqrt(33)/(1*sqrt(3) + sqrt(3))). -24*sqrt(2) Simplify 0 + (sqrt(162) - (sqrt(162) + -1))**2 + sqrt(162) + 1 + 0. 2 + 9*sqrt(2) Simplify -3 + 5*(2*sqrt(11)*2 + ((sqrt(2
{ "pile_set_name": "DM Mathematics" }
s the nearest to 2/7? (a) 876 (b) 4 (c) 0.1 c What is the nearest to 0 in -7, -0.06, 29? -0.06 What is the nearest to 13 in -0.4, 0.6, 1/9, -0.5, -7? 0.6 Which is the nearest to 0.3? (a) -0.0336 (b) 3/4 (c) -3/7 a Which is the closest to 0.3? (a) 0.2 (b) 0.5 (c) 0.0478 (d) 0 a Which is the closest to -2/5? (a) 0.24 (b) -25/96 (c) -3 b Which is the closest to 10? (a) -20/13 (b) 1.3 (c) -0.04 b Which is the closest to -0.3? (a) 30.7 (b) -4/11 (c) -2 (d) -4 b Which is the closest to 0.1? (a) 3 (b) 16 (c) -643 (d) -1/5 d What is the nearest to -9 in 7, -2/13, -3/17? -3/17 Which is the closest to 0.2? (a) 3 (b) 0.3 (c) -2/7 (d) 535 b What is the closest to 0 in -5, -2/1275, -1/5, 3, 1/8? -2/1275 What is the closest to -22/27 in 1/7, -83, 0.4? 1/7 What is the closest to 0 in 1, 2/3, 3/8, -0.074, 1/3? -0.074 Which is the nearest to 11? (a) 4/5 (b) -0.2 (c) 0 (d) 44 a What is the nearest to -1 in -1.5, -1/4, -18/11, 2/5, -0.3? -1.5 What is the closest to 2/7 in 3/283, 2/3, -5, -2? 3/283 What is the closest to 29 in -3, -0.5, 1/13, 1/5? 1/5 What is the nearest to -67 in -5, 89, 2? -5 Which is the closest to 77? (a) 2 (b) -0.5 (c) 4 (d) 3/8 c Which is the closest to 3? (a) -0.3 (b) -267 (c) -8 (d) -3/2 a What is the closest to 0 in 5, 62/3, 2/9, -2/41? -2/41 Which is the nearest to -2? (a) -1 (b) -0.3 (c) -77/5 (d) 2/13 a What is the nearest to 0 in 0.2, 4, 1/2, 0.105, 152? 0.105 What is the nearest to 3/4 in -2, -150, -4, -1/6? -1/6 What is the nearest to 0.4 in -0.1, -0.0763, 2, -1/4? -0.0763 Which is the closest to -1/2? (a) -1/4218 (b) 1 (c) -71 a What is the closest to -0.71 in 1/2, -1.42, 2/3, -3? -1.42 Which is the nearest to -26? (a) 5 (b) 0 (c) -0.04 (d) -2 (e) -30 e What is the closest to -2/5 in -2/11, 668.6, 1/7? -2/11 What is the nearest to 1 in -2133, -2, 1? 1 What is the closest to 1/4 in -5, -3, -1/4, -0.29, -4? -1/4 What is the closest to 2/5 in -0.092, -1/5, 11, 2? -0.092 What is the nearest to 4 in 3, 0.2, 0.4, 0.423? 3 Which is the nearest to 43? (a) -0.3 (b) -0.03 (c) 3/8 (d) 0.5 (e) -1 d What is the closest to -4/9 in -6/11, 5/3, -0.17035, -3? -6/11 What is the nearest to -1 in 1, -0.18, -402? -0.18 Which is the closest to 0.1? (a) 3/2 (b) -138/5 (c) 5/7 (d) 1/2 d What is the closest to 1/3 in -0.1, 2/3, 0.5, -1, -1323/5? 0.5 Which is the closest to -8? (a) -12395 (b) -1 (c) 2/7 b Which is the closest to 1/19? (a) 0.08 (b) -5 (c) -0.1 (d) 11 a Which is the nearest to -2? (a) 11/16 (b) -5 (c) -36 (d) -9/4 d What is the nearest to 146/501 in -0.3, -0.2, -3? -0.2 What is the closest to 0.04 in -0.6, 5, 64? -0.6 Which is the nearest to -1/25? (a) -2/3 (b) 2 (c) 93 a What is the closest to -9 in -5/6, 5, -9, 27? -9 Which is the closest to -747.8? (a) -1/4 (b) -4 (c) 2/9 (d) -1 (e) -3/16 b What is the closest to 0 in -2, 1.3, 0.1, -1, -52? 0.1 Which is the nearest to 2? (a) 3/16 (b) -3.4 (c) 5 (d) 31 (e) -1/2 a What is the closest to 54 in 0.3, -2/3, -3/7? 0.3 What is the closest to -0.23 in -2/7, 1, -2? -2/7 Which is the nearest to 2/9? (a) -1/3 (b) -0.098 (c) 3/5 (d) -1/2 b Which is the closest to 0.8? (a) 12 (b) 172 (c) 2 c What is the nearest to -0.02 in 3, 3.7, 3/2, 3/5, 2? 3/5 What is the nearest to 13 in -4, -1/26, 3, 2, -0.1? 3 Which is the nearest to -2/7? (a) 4 (b) 2 (c) 0.0608 (d) 0.2 (e) 6/7 c What is the closest to -2/5 in -4/509, -1, -3, 3? -4/509 Which is the nearest to -0.4? (a) 26171/4 (b) 5 (c) 4 c What is the nearest to 11 in -1.51, 1/6, -3? 1/6 What is the nearest to 0.1 in -0.3, 82, -1, 4? -0.3 Which is the nearest to 2/5? (a) 3 (b) -5 (c) 2/319 (d) 0.4 (e) -0.4 d What is the nearest to -8 in -9, 0.5, 5, -0.88? -9 Which is the closest to -43? (a) 5 (b) 110 (c) 4/5 c Which is the closest to 22? (a) 1/3 (b) 1 (c) 1/5 (d) -3 (e) -1 b Which is the closest to 1/20? (a) 705 (b) 0.1 (c) 0.2 b Which is the closest to -0.1? (a) 1/11 (b) 2.8 (c) -4 (d) -0.07 (e) 0.5 d What is the nearest to 1 in 3, 4, -2/115, 0.3? 0.3 Which is the nearest to -1? (a) -2/3 (b) -0.371 (c) 2/11 (d) 2/9 a What is the nearest to 2/3 in -0.9, 14.1, -1, -0.7? -0.7 Which is the closest to -3? (a) 178 (b) 2/13 (c) 3 (d) -6 d What is the closest to 0.1 in 2860, 11/28, 3/4? 11/28 Which is the nearest to -168? (a) 1.1 (b) 5 (c) 70 (d) -1 d What is the closest to -1/3 in 2/12659, -7, -5? 2/12659 What is the closest to 0.0751 in -4/5, 0.3, -33.2? 0.3 Which is the nearest to -152? (a) -26/5 (b) -4 (c) -1/4 a Which is the closest to -5? (a) -12 (b) 0 (c) 25/3 b Which is the nearest to 3? (a) -13 (b) -5 (c) -6 (d) 17 b What is the closest to -3/2 in -2, -218/9, 0.4? -2 Which is the nearest to -0.2? (a) -1 (b) -341 (c) -0.5 c What is the nearest to 14689 in 1/2, 2/7, 0.2? 1/2 Which is the nearest to 13? (a) -3 (b) -22/19 (c) 4/7 (d) -2/13 (e) -4/7 c What is the closest to 1/4 in -98, 50, -4? -4 What is the closest to 0 in 0.043, -2/47, -4/7, 3? -2/47 What is the closest to -0.04 in -2, 2/11, 0.4, -1227? 2/11 Which is the closest to -5/3? (a) 0.4 (b) 1/10 (c) 4 (d) -2 d Which is the closest to 0? (a) 0.15 (b) -2.034 (c) 0.01 c Which is the nearest to 0? (a) -2/3 (b) 99 (c) 2 (d) 9 (e) 1/3 e What is the nearest to -1 in -0.192, 1, -15? -0.192 Which is the closest to 1/5? (a) 402 (b) 7 (c) -1/2 c What is the nearest to 2/3 in 2/11, -0.3, 39.909? 2/11 What is the nearest to 3 in 1414, 0, -0.2? 0 Which is the nearest to 2/5? (a) 96.9 (b) 1/4 (c) -0.2 b Which is the nearest to -7/5? (a) 0 (b) 1.083 (c) 0.5 a Which is the nearest to 1443.3? (a) -2 (b) -1/7 (c) 1/2 (d) 2 d What is the nearest to -0.02 in -2/5, -1, 4, -83.7? -2/5 Which is the closest to 1? (a) 79 (b) -99 (c) 2 (d) -3/4 c What is the closest to -8/5 in 1, 0, -4/7, 4, 565? -4/7 What is the nearest to 34 in -24, -18, -4? -4 Which is the nearest to 2? (a) 2/7 (b) 42 (c) 2/57 a Which is the nearest to -0.01? (a) -0.3 (b) -2 (c) -29/22 a What is the closest to -66 in 9, 2/25, 0.01, 4? 0.01 What is the closest to -7/3 in 3, -0.4, -0.2, 137/3? -0.4 What is the closest to -1 in 0.8, -1.2, -1.7, -0.02? -1.2 Which is the closest to 0.3? (a) -4/15 (b) -0.11 (c) -4 (d) -10 b What is the nearest to 3/28 in 0.031, 10, 5? 0.031 What is the nearest to -2 in 44, -48/11, -0.1? -0.1 What is the nearest to -2/5 in -1, -4, 4349? -1 Which is the nearest to -1/4? (a) -1.5 (b) 3.1 (c) 50 (d) 0.1 (e) -0.3 e What is the closest to 3.9 in -3/5, 1, 7? 1 Which is the nearest to -26? (a) 2 (b) -50 (c) -1 (d) -4 (e) -3/22 d Which is the nearest to -2/7? (a) 0.5 (b) 77/5 (c) 2 (d) 5/4 a Which is the nearest to -1/44? (a) 9 (b) 1 (c) -0.7 (d) 0.5 d Which is the closest to 0.03? (a) -4 (b) -187 (c) 2/15 c What is the nearest to 0.06 in -2/3, -12168, 0? 0 Which is the nearest to 1/4? (a) 40.62 (b) 5 (c) 0.3 c Which is the closest to 0.04? (a) -2/9 (b) 1/11 (c) 0.3 (d) -36 (e) -13 b What is the closest to -164 in 0.2, 25, 2, 3/7? 0.2 Which is the closest to -14? (a) 4 (b) 34/7 (c) 2 c Which is the closest to 0? (a) 0.2 (b) -0.3 (c) 5 (d) 18 (e) -1.21 a Which is the nearest to 30? (a) -2 (b) 4 (c) -0.57 (d) 2/21 b What is the closest to -2/5 in -4, 3, 1/51, 2/5? 1/51 What is the closest to -258 in 0.4, 81, 3? 0.4 What is the closest to -1 in -2, -0.2, -1, -5, 0.2? -1 Which is the nearest to 9? (a) -3289/2 (b) 0.3 (c) -0.1 b What is the closest to 1/7 in 0.5, 13.3, -1/3? 0.5 Which is the closest to 320? (a) -3 (b) -0.2 (c) -2/3 (d) -7 b Which is the nearest to -261? (a) -6/7 (b) -4 (c) 4 b Which is the closest to 1? (a) 3 (b) 1/3 (c) 0.097352 (d) 0 b Which is the nearest to -171? (a) 0.5 (b) 2 (c) 33 a What is the closest to 0 in -3692, -8/9, 0? 0 What is the nearest to -0.1 in 0.3, 8, 196, 44? 0.3 What is the nearest to 0.09 in 5, -0.01, 5/3, 0.05? 0.05 Which is the closest to -2/5? (a) 0.01 (b) -0.924 (c) 0.5 a What is the closest to -1 in 14, -1/2, 458/3? -1/2 Which is the nearest to -8? (a) -5 (b) 1/7 (c) -97 (d) -24 a Which is the closest to 2/7? (a) -1/7 (b) -94/5 (c) 10/33 (d) 1/4 c What is the closest to -0.1 in 1/8, -75, -225? 1/8 Which is the nearest to -1/7? (a) -6 (b) 2
{ "pile_set_name": "DM Mathematics" }
e terms in -5*x**2 - 34*x - x**2 + 34*x. -6*x**2 Collect the terms in 2*l - 3*l - 24*l - 5*l. -30*l Collect the terms in v - 6*v + 17*v + 5*v. 17*v Collect the terms in -5*u**2 - 3*u**2 - 6*u**2 + 4*u**2. -10*u**2 Collect the terms in -26*n + 27*n + 27*n. 28*n Collect the terms in 139*t**2 + 3*t - 145*t**2 - 3*t. -6*t**2 Collect the terms in 146*h**3 + 129*h**3 - 459*h**3 + 152*h**3. -32*h**3 Collect the terms in -7*l**2 - 5*l**2 - 2*l**2. -14*l**2 Collect the terms in -14*x - 29*x - 24*x + 17*x. -50*x Collect the terms in -3*d**3 - d**3 + 6*d**3. 2*d**3 Collect the terms in -4*a**2 + 3*a**2 - 24*a**2. -25*a**2 Collect the terms in -3652*c**2 + 5*c + 3648*c**2 - 5*c. -4*c**2 Collect the terms in -56*m**2 + 12*m**2 + 45*m**2. m**2 Collect the terms in -7*m**3 - 33 + 33. -7*m**3 Collect the terms in -3*w + 76*w - 68*w. 5*w Collect the terms in 203*x - 142 + 142. 203*x Collect the terms in 94*z - 30*z - 28*z - 34*z. 2*z Collect the terms in -52*t**2 + 19*t**2 + 33*t**2 - 5*t**3. -5*t**3 Collect the terms in -3*u + 18 + 6*u - 30. 3*u - 12 Collect the terms in 2*m - m - 8*m. -7*m Collect the terms in 106*b**2 + 2*b**3 + 106*b**2 + 112*b**2 - 324*b**2. 2*b**3 Collect the terms in -2*o + 9*o - 5*o + 7*o. 9*o Collect the terms in 0 - 6 + 3*t + 6. 3*t Collect the terms in -26 - 17 + 67 - 25 + 4*n**2. 4*n**2 - 1 Collect the terms in -9*i + 44*i - 13*i - 16*i. 6*i Collect the terms in -25 - 3*n + 11 + 14 - n. -4*n Collect the terms in 83 + 114*s**2 - 83. 114*s**2 Collect the terms in -16*c**2 + c**3 - 18*c**2 - 9*c**2 + 43*c**2. c**3 Collect the terms in -34*w + 116*w + 80*w + 23*w. 185*w Collect the terms in 35*v - 35*v + v**3. v**3 Collect the terms in -23457*c + 23457*c - c**3. -c**3 Collect the terms in -168 - 1567*i**2 + 1563*i**2 + 168. -4*i**2 Collect the terms in 0*c + 14*c**2 - 26*c**2 + 0*c. -12*c**2 Collect the terms in -105*n**2 + 206*n**2 - 101*n**2 - n**3. -n**3 Collect the terms in 79 - 6*o + 70 + 80 - 229. -6*o Collect the terms in 3 + 4 - 7 + 21*d**2. 21*d**2 Collect the terms in 522*a**3 + 529*a**3 + 527*a**3 - 1579*a**3. -a**3 Collect the terms in -52*g**2 + 52*g**2 - 73*g**3 - 122*g**3. -195*g**3 Collect the terms in 7*a + 7*a + 8*a + 0*a. 22*a Collect the terms in -1815*r**2 - 1822*r**2 + 3633*r**2. -4*r**2 Collect the terms in -3*g + 8*g - g. 4*g Collect the terms in 6*b + 3*b - 8*b. b Collect the terms in 3*d + 17*d - 6*d + 16*d. 30*d Collect the terms in -19*n - 2*n + 21*n - 6*n**2. -6*n**2 Collect the terms in -g + g - 27*g**2 - 5*g**2. -32*g**2 Collect the terms in 5419*a - 5419*a + 18*a**2. 18*a**2 Collect the terms in -335*h**3 + 0*h**2 + 333*h**3 + 0*h**2. -2*h**3 Collect the terms in -4*r - 669 + 11*r + 669. 7*r Collect the terms in 1 - 4 + 2*c**3 + 3 + 114*c**2. 2*c**3 + 114*c**2 Collect the terms in 46*o**2 - o + 44*o**2 - 85*o**2 + o. 5*o**2 Collect the terms in 16 - 16 - 14*p. -14*p Collect the terms in 31*y**3 + 74*y - 34*y**3 + 251*y. -3*y**3 + 325*y Collect the terms in -103*k + 181*k - 78*k - k**2. -k**2 Collect the terms in -32 + 16 + 16 + 2*i. 2*i Collect the terms in -5 + 1651*b + 0 + 5. 1651*b Collect the terms in -19*l**2 + 136 + 130 - 266. -19*l**2 Collect the terms in -45*x - 33*x + 15*x**2 + 78*x. 15*x**2 Collect the terms in 784*h**3 + 398*h**3 + 309*h**3. 1491*h**3 Collect the terms in 74*a**2 + 2 + 6 - 16*a**2 - a**2. 57*a**2 + 8 Collect the terms in 17*o - 6*o - 4*o. 7*o Collect the terms in 18*n + 112*n + 0*n + 61*n. 191*n Collect the terms in 9*b**3 + 5*b**3 - 15*b**3 - 28*b**2. -b**3 - 28*b**2 Collect the terms in 3*r**2 + 14*r**2 - 11*r**2. 6*r**2 Collect the terms in 226*g - 38*g + 114*g. 302*g Collect the terms in -125*q**2 + 122*q**2 + 243*q**2 + 219*q**2. 459*q**2 Collect the terms in 4*a - a + 4*a - 4*a. 3*a Collect the terms in 4*q + 2070*q**3 - 4*q. 2070*q**3 Collect the terms in -94 + 31 + 39 + 3*a + 24. 3*a Collect the terms in 97 - 19*i**3 - 97. -19*i**3 Collect the terms in -99*l**2 + 92*l**2 + l - l. -7*l**2 Collect the terms in 3*u**3 + u**3 + u**3. 5*u**3 Collect the terms in -16319 + 2*k + 16319 - 25*k**2. -25*k**2 + 2*k Collect the terms in -13 + 13 + 38*u. 38*u Collect the terms in 3*d**2 - 6*d**2 - 3*d**2 - 6*d**2. -12*d**2 Collect the terms in 28*t**2 - 27*t**2 - 57*t**2 - 38*t**2. -94*t**2 Collect the terms in -3*y - 18 - 14 - 12 + 44. -3*y Collect the terms in -165*b**3 - 167*b**3 + 329*b**3. -3*b**3 Collect the terms in 8 + 0*i**3 + 1 + 0 - 4*i**3. -4*i**3 + 9 Collect the terms in -3*j + 26*j**2 + 3*j + 3*j**3. 3*j**3 + 26*j**2 Collect the terms in 591*y + 599*y + 596*y - 2388*y + 596*y. -6*y Collect the terms in -5*l**2 + 14*l**2 - 6*l**2 + 11*l**2. 14*l**2 Collect the terms in -b**2 + 12*b**2 + 7*b**2. 18*b**2 Collect the terms in -60 + 60 + 19*s. 19*s Collect the terms in -9*l + 9*l - 3*l. -3*l Collect the terms in -182*j - 2610*j + 693*j. -2099*j Collect the terms in 51*n + 33*n + 33*n. 117*n Collect the terms in -11*f**2 - 428*f**2 + f**3 + 0 + 0. f**3 - 439*f**2 Collect the terms in i + 212*i**2 - 213*i**2 - i. -i**2 Collect the terms in 6*h + 6*h - 16*h + 5*h + 2*h. 3*h Collect the terms in j**2 - 5 + 2 + 3. j**2 Collect the terms in 452*d**3 + 688*d**3 - 158*d**3. 982*d**3 Collect the terms in -17*g**3 - 18*g**3 + 28*g**3. -7*g**3 Collect the terms in -24 + 25 - 23 + 3*w. 3*w - 22 Collect the terms in -3 + 12 - 9 + 4*d. 4*d Collect the terms in 69*k - 112 + 112. 69*k Collect the terms in -3*g**3 + 4*g**3 + 52 - 254. g**3 - 202 Collect the terms in 120 - 120 - 13*p. -13*p Collect the terms in -101*x + 24*x + 28*x + 26*x + 24*x. x Collect the terms in -27*f**2 - 12*f**2 + f**2. -38*f**2 Collect the terms in v**2 - v**2 + 4*v**2 - 3*v**2 + 3*v**2. 4*v**2 Collect the terms in 67 - 2*u + 3*u + 6*u - 9*u. -2*u + 67 Collect the terms in 20*a + 0*a + 6*a. 26*a Collect the terms in -2 + 2 + 267*t**3. 267*t**3 Collect the terms in 8*x - 14*x + 15*x. 9*x Collect the terms in 4*u**2 + 42*u**3 - 4*u**2. 42*u**3 Collect the terms in k - 9*k - 6*k + 6*k. -8*k Collect the terms in 16 - 16 + o**3 - 2*o**3. -o**3 Collect the terms in -1 - 16*q + 1. -16*q Collect the terms in 57*z**2 - 46*z**2 + 57*z**2. 68*z**2 Collect the terms in -5*i - 4*i - 6*i + 6*i. -9*i Collect the terms in 25*f**3 - 93*f**3 + 25*f**3 + 20*f**3 + 21*f**3. -2*f**3 Collect the terms in -46 + 4*f**2 + 128 - 38 - 44. 4*f**2 Collect the terms in -234 + 12*z**2 + 234. 12*z**2 Collect the terms in -268*d + 126*d + 142*d - d**2. -d**2 Collect the terms in 9*x + 3*x + 9*x. 21*x Collect the terms in 1307*y - 2613*y + 1305*y. -y Collect the terms in 5*x + 8*x - 14*x. -x Collect the terms in 10*x + 6*x + 8*x - 14*x. 10*x Collect the terms in 162*y + 160*y + 30*y**2 - 322*y. 30*y**2 Collect the terms in -2*m - 2*m - 2*m + 0*m. -6*m Collect the terms in 0 + 76*d + 0 + 176*d. 252*d Collect the terms in 21*c**3 + 116 - 116. 21*c**3 Collect the terms in -33*c**2 + 33*c**2 + c**3. c**3 Collect the terms in -2*d + 7*d - 3*d - 3*d. -d Collect the terms in 2848 - 2848 - s**3. -s**3 Collect the terms in 14*w**3 + w + 6*w**3 - 4*w**3. 16*w**3 + w Collect the terms in 75*c**3 + 70*c**3 - 221*c**3 + 70*c**3. -6*c**3 Collect the terms in -2 - 6*q - 6*q + 0*q - 10*q. -22*q - 2 Collect the terms in 5*b - 28*b + b. -22*b Collect the terms in -365*v**2 + 31 - 2*v**3 + 365*v**2. -2*v**3 + 31 Collect the terms in 0*z**2 + 4*z**2 - 246 + 246. 4*z**2 Collect the terms in z**3 + 3*z**3 - 17*z**3 - 3*z**3 + 7*z**3. -9*z**3 Collect the terms in 3 + 47*z - 8*z - 35*z. 4*z + 3 Collect the terms in 31 - 6 - 25 - p**2. -p**2 Collect the terms in -l + 3*l + 0*l. 2*l Collect the terms in 3*p**2 - 77 + 164*p - 164*p + 77. 3*p**2 Collect the terms in -21814*k**2 - 21817*k**2 + 43626*k**2. -5*k**2 Collect the terms in -5*p + 438*p**2 - 439*p**2 + 5*p. -p**2 Collect the terms in -230*i**2 - 217*i**2 - 231*i**2 + 676*i**2. -2*i**2 Collect the terms in -2 + 0 - 21*r + 2. -21*r Collect the terms in -4*o + 24*o - 4*o. 16*o Collect the terms in -905*n**2 - 15*n**3 + 14*n**3 + 905*n**2. -n**3 Collect the terms in -971*r**3 - 971*r**3 + 1940*r**3. -2*r**3 Collect the terms in 0*d**3 - 3*d**2 - 3*d**3 - 4*d**2 + d**3. -2*d**3 - 7*d**2 Collect the terms in -7 + 7 - 9*d**3. -9*d**3 Collect the terms in -6*b + 6*b - 16*b**2 - 5*b**2 + 24*b**2. 3*b**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from {k: 1, c: 8, m: 6}? 8/65 Calculate prob of picking 2 k when two letters picked without replacement from {z: 1, k: 2, y: 7, n: 1, e: 5}. 1/120 Two letters picked without replacement from {c: 2, d: 1}. What is prob of picking 1 c and 1 d? 2/3 Calculate prob of picking 4 u when four letters picked without replacement from eruueueeeeeeeueuuue. 35/3876 Four letters picked without replacement from {i: 2, f: 1, j: 4, g: 9}. Give prob of picking 1 i and 3 g. 6/65 Four letters picked without replacement from ejeeeejjje. What is prob of picking 2 e and 2 j? 3/7 What is prob of picking 1 o and 1 s when two letters picked without replacement from {y: 1, o: 2, d: 1, r: 1, s: 1, g: 1}? 2/21 What is prob of picking 2 q and 1 m when three letters picked without replacement from bmqobddbqqomqgd? 12/455 Three letters picked without replacement from ovosovv. Give prob of picking 2 v and 1 o. 9/35 What is prob of picking 1 u, 1 s, 1 o, and 1 y when four letters picked without replacement from {y: 2, o: 8, u: 1, s: 2, q: 2, g: 5}? 32/4845 Calculate prob of picking 3 z when three letters picked without replacement from mzomzmmomozomzmm. 1/140 What is prob of picking 3 d when three letters picked without replacement from dddd? 1 Calculate prob of picking 3 w when three letters picked without replacement from waaaawaaawaawa. 1/91 Three letters picked without replacement from fzfffzug. Give prob of picking 1 g and 2 f. 3/28 Four letters picked without replacement from ccuuccu. What is prob of picking 4 c? 1/35 Three letters picked without replacement from {h: 1, t: 1, v: 1, u: 1, x: 1}. Give prob of picking 1 v, 1 t, and 1 u. 1/10 Two letters picked without replacement from unpunppnnue. Give prob of picking 2 u. 3/55 What is prob of picking 1 q and 1 t when two letters picked without replacement from rtqqqtgtqgggggtgqq? 8/51 Two letters picked without replacement from ddkkee. What is prob of picking 1 d and 1 k? 4/15 What is prob of picking 1 q and 1 y when two letters picked without replacement from {y: 1, h: 1, k: 1, p: 2, s: 1, q: 1}? 1/21 Two letters picked without replacement from {i: 2, f: 3, j: 1, c: 5, h: 1}. Give prob of picking 1 f and 1 j. 1/22 Two letters picked without replacement from tmnataajaaajxxttm. Give prob of picking 1 x and 1 t. 1/17 Four letters picked without replacement from wiwwooiiwwoiiiwii. Give prob of picking 2 i, 1 w, and 1 o. 18/85 Two letters picked without replacement from {n: 5, t: 2, m: 5}. What is prob of picking 2 m? 5/33 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {v: 3, s: 4, a: 2}. 2/9 Four letters picked without replacement from {w: 1, b: 9, l: 9}. Give prob of picking 1 l and 3 b. 63/323 Two letters picked without replacement from zzzzcczz. What is prob of picking 2 z? 15/28 Four letters picked without replacement from fpymbppbpbbb. What is prob of picking 4 b? 1/99 Calculate prob of picking 2 x when two letters picked without replacement from {x: 11, g: 3}. 55/91 What is prob of picking 4 j when four letters picked without replacement from {s: 3, j: 5, c: 1, z: 1, q: 3, o: 1}? 5/1001 What is prob of picking 1 u and 2 w when three letters picked without replacement from {b: 3, u: 3, z: 1, w: 8, x: 1, t: 3}? 28/323 Three letters picked without replacement from ikillkliiiill. Give prob of picking 1 i and 2 k. 3/143 What is prob of picking 2 z and 1 u when three letters picked without replacement from wyyyyzayzyyyyyuyy? 1/680 What is prob of picking 1 d, 2 p, and 1 v when four letters picked without replacement from {d: 1, n: 1, v: 2, y: 1, p: 2}? 2/35 Two letters picked without replacement from ebteh. What is prob of picking 1 t and 1 h? 1/10 Two letters picked without replacement from {e: 6, w: 7}. Give prob of picking 1 w and 1 e. 7/13 Calculate prob of picking 1 v, 1 c, and 1 y when three letters picked without replacement from vcyvczvycccczvzvzc. 35/408 Three letters picked without replacement from {n: 4, y: 3, v: 1, u: 5, b: 5}. Give prob of picking 3 u. 5/408 Two letters picked without replacement from {s: 10, n: 10}. What is prob of picking 1 n and 1 s? 10/19 Calculate prob of picking 2 t when two letters picked without replacement from {a: 1, q: 2, t: 7}. 7/15 What is prob of picking 1 t, 2 p, and 1 b when four letters picked without replacement from ttwwpwwpwtptpjpjjjbp? 4/323 What is prob of picking 1 k and 1 b when two letters picked without replacement from {a: 3, k: 1, u: 4, d: 1, w: 7, b: 2}? 2/153 Four letters picked without replacement from rrrwrrrrrdrwh. What is prob of picking 2 r, 1 d, and 1 w? 72/715 Four letters picked without replacement from {t: 5, l: 11}. Give prob of picking 2 t and 2 l. 55/182 Three letters picked without replacement from hihdhdddhdhdvvhhdh. What is prob of picking 1 i and 2 h? 7/204 Two letters picked without replacement from hhhwwhhhhhhhh. Give prob of picking 2 h. 55/78 Two letters picked without replacement from kxkkxzzzzzkxzpzzpkk. What is prob of picking 1 x and 1 p? 2/57 Four letters picked without replacement from {m: 1, c: 3, b: 2, u: 1}. Give prob of picking 1 u, 1 b, 1 c, and 1 m. 6/35 Four letters picked without replacement from {h: 2, a: 1, k: 1, z: 8, p: 2}. What is prob of picking 1 z, 1 h, 1 k, and 1 p? 32/1001 Four letters picked without replacement from aehectaatacueheuae. Give prob of picking 1 e, 2 h, and 1 c. 1/306 What is prob of picking 1 a and 1 c when two letters picked without replacement from cckcckcccackcccc? 1/10 Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {d: 9, p: 1, e: 2, f: 2}. 18/91 Two letters picked without replacement from {r: 1, j: 2, e: 4, u: 6, h: 2}. Give prob of picking 1 u and 1 h. 4/35 What is prob of picking 3 t and 1 u when four letters picked without replacement from ttttttttuttt? 1/3 Four letters picked without replacement from mmmmvmmvqqgghvqqm. Give prob of picking 1 h and 3 m. 1/68 Three letters picked without replacement from {u: 2, c: 2}. What is prob of picking 1 c and 2 u? 1/2 What is prob of picking 1 q, 1 z, 1 p, and 1 x when four letters picked without replacement from pqszzjx? 2/35 What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrrrrrjrjrrrr? 68/95 What is prob of picking 4 u when four letters picked without replacement from {u: 8, c: 3, y: 6}? 1/34 Three letters picked without replacement from lblbblrrbblrbrbb. Give prob of picking 1 l and 2 r. 3/70 Calculate prob of picking 2 s and 2 r when four letters picked without replacement from srsrrrrsrsrrrrsr. 55/182 What is prob of picking 4 b when four letters picked without replacement from {o: 6, b: 4}? 1/210 What is prob of picking 1 s and 2 i when three letters picked without replacement from iofffisstfsfsff? 4/455 Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, h: 3, o: 3, r: 2, g: 5, e: 1}. 2/21 Calculate prob of picking 1 a and 3 f when four letters picked without replacement from {v: 1, a: 1, f: 12}. 20/91 What is prob of picking 1 s and 1 t when two letters picked without replacement from vjmxvjvsmvvssvjvtv? 1/51 Three letters picked without replacement from {r: 3, c: 4, p: 1, x: 3, j: 2, m: 2}. Give prob of picking 1 p and 2 r. 3/455 Two letters picked without replacement from uxxxxkuxkukkmkmuxxx. What is prob of picking 1 x and 1 u? 32/171 Three letters picked without replacement from rgaagmcaaacragaaa. What is prob of picking 1 c and 2 a? 9/85 Four letters picked without replacement from {c: 5}. What is prob of picking 4 c? 1 Two letters picked without replacement from {t: 2, q: 7}. Give prob of picking 1 t and 1 q. 7/18 Four letters picked without replacement from mmryyyrfrmyfff. Give prob of picking 3 r and 1 f. 4/1001 Two letters picked without replacement from {p: 1, d: 2, i: 1, x: 1, m: 4}. What is prob of picking 1 m and 1 x? 1/9 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {j: 4, w: 1, n: 3}. 3/7 Four letters picked without replacement from {g: 5, r: 3, w: 2, d: 3}. Give prob of picking 1 d, 2 g, and 1 r. 18/143 Two letters picked without replacement from bzyzrzzzgbrz. Give prob of picking 1 y and 1 b. 1/33 Four letters p
{ "pile_set_name": "DM Mathematics" }
256283 wrt u. 933410 What is the third derivative of -306102*j**3 + 237136*j**2 wrt j? -1836612 Find the first derivative of -396003*k**4 + 5*k**3*l + 20*l - 88391 wrt k. -1584012*k**3 + 15*k**2*l Find the third derivative of 3042*t**3 + 8*t**2 - 1200*t wrt t. 18252 What is the first derivative of 42129*m**4 - 30128? 168516*m**3 What is the derivative of -125*y**3*z - y**3 + 27*y**2 + 37060*z + 8 wrt y? -375*y**2*z - 3*y**2 + 54*y Find the third derivative of -9630*p**3*y**3 + 4*p**3*y**2 + 5*p**3 + p**2 + 50729*p*y**3 - 3*p*y wrt p. -57780*y**3 + 24*y**2 + 30 Find the third derivative of -46073*f**4 - 337*f**2 - 2*f + 1 wrt f. -1105752*f Find the second derivative of 221*u**4 + u**3 - 6*u**2 - 89507*u. 2652*u**2 + 6*u - 12 Find the third derivative of -2213291*t**3 + 44*t**2 + 830*t + 3. -13279746 What is the second derivative of -2*i**4 - 12695*i**2 - 25616*i? -24*i**2 - 25390 Find the second derivative of 6*r*u**5 + 4*r*u**2 - 5*r*u*w + 12*u**2*w + 509*u wrt u. 120*r*u**3 + 8*r + 24*w Find the third derivative of 4013377*b**3*m + 13*b**2*m + 5*b**2 + 5*b*m - 7*b + 3*m wrt b. 24080262*m What is the second derivative of -1492*h*t**2*z - 5*h*t**2 + h*t + 10*h*z - 2*t**2*z - 3*t**2 + 1996*t*z + 2*t wrt t? -2984*h*z - 10*h - 4*z - 6 What is the third derivative of 284500*a**5 + 221176*a**2? 17070000*a**2 What is the third derivative of -3*a**2*u**3 + 3654*a**2*u**2 - 2*a*u**2 - 3319*u**3 wrt u? -18*a**2 - 19914 What is the second derivative of -403322*b*t**2 + 40416*b*t - 7*t wrt t? -806644*b What is the second derivative of -8*g*j*x**2*y + 308*g*j*x*y + 567*g*x**2*y + 2*g*x*y - j*x**2*y + j*x*y + 4*j*x + j wrt x? -16*g*j*y + 1134*g*y - 2*j*y What is the second derivative of -189488*d**2 + 24559*d? -378976 What is the second derivative of -3507*o**3*p - 54*o**3 - 2*o**2 + 481*o*p - 841*o wrt o? -21042*o*p - 324*o - 4 What is the third derivative of z**6 + z**5 - 23197*z**3 - 2*z**2 - z + 3692 wrt z? 120*z**3 + 60*z**2 - 139182 What is the third derivative of 2*g**4*l**2 + 307*g**4 - 5*g**3*l**2 - 137*g**2*l**2 - 7*g*l + 4*l**2 wrt g? 48*g*l**2 + 7368*g - 30*l**2 What is the first derivative of -19478*n + 70556 wrt n? -19478 Find the third derivative of 29151*c*z**3 + 5*c*z**2 + 2*c - 3*z**2 + 23*z wrt z. 174906*c What is the third derivative of c**6 - 169*c**4 + c**3 + c**2 - 273*c - 3? 120*c**3 - 4056*c + 6 What is the first derivative of -2626955*t**2 + 971878 wrt t? -5253910*t Find the second derivative of -107272*i**5 - 937420*i wrt i. -2145440*i**3 Find the first derivative of -367354*j**3 - 1974075. -1102062*j**2 Find the second derivative of -2800886*h**2 + 98*h - 5440. -5601772 Find the third derivative of 29662*y**3 - 4*y**2 - 135*y + 2 wrt y. 177972 Find the second derivative of -4785350*z**3 - 2389070*z. -28712100*z Differentiate -4*x**3 - 87122*x + 747580 with respect to x. -12*x**2 - 87122 Find the second derivative of -7020*c**4*s**3 - 87*c**2*s**3 - 2*c*s**2 + 2*s**3 - 117*s**2 - 2*s - 13 wrt c. -84240*c**2*s**3 - 174*s**3 Find the second derivative of 80189*m**5 - 77784*m. 1603780*m**3 What is the first derivative of -a**3*i**3*w + 3*a**3*i**3 - 108*a**3*i**2*w - 16*a**3*i**2 - 93*a*i**3 wrt w? -a**3*i**3 - 108*a**3*i**2 Find the third derivative of -2824385*l**4 + 2*l**2 + 77405*l - 10 wrt l. -67785240*l What is the third derivative of -14623*v**5 - 6*v**3 + 2*v**2 - 379335*v wrt v? -877380*v**2 - 36 What is the second derivative of -606627*r**5 + 90*r + 2931 wrt r? -12132540*r**3 Find the first derivative of 2109883*w**3 + 1944942 wrt w. 6329649*w**2 Differentiate -60085*h + 69755. -60085 Find the second derivative of 3328038*i**2*v + 2*i*v - 91*i - 722*v + 5 wrt i. 6656076*v Find the third derivative of 5085829*q**4 - 1481650*q**2. 122059896*q What is the third derivative of -37992*l**4 + 635*l**2 - 2*l - 11 wrt l? -911808*l What is the second derivative of 1401*l**5 - 25*l**2 - 3*l + 57118 wrt l? 28020*l**3 - 50 What is the first derivative of -6*c**2*f + 53418*c**2 + 554615*f wrt c? -12*c*f + 106836*c What is the third derivative of 259*z**4 + 88*z**3 + 2*z**2 - 2*z + 620 wrt z? 6216*z + 528 Find the first derivative of -24*d**2*h**2 - 6*d**2*h - 60*d*h**2 - 57995*h**2 wrt d. -48*d*h**2 - 12*d*h - 60*h**2 Find the second derivative of 93799*j**2 - 16197*j wrt j. 187598 What is the third derivative of -4731*k**3*q*r**3 + 6*k**3*r - 5*k**2*q - 2*k*q*r**3 + 426*k*q*r wrt k? -28386*q*r**3 + 36*r What is the derivative of -d*k**2 + 3*d*k - 158088*d*z - k**2*z - 1153*k*z wrt k? -2*d*k + 3*d - 2*k*z - 1153*z What is the second derivative of -4*d**3*y - 1870*d**3 + 4*d*y + 4*d - y + 61 wrt d? -24*d*y - 11220*d What is the first derivative of -2*h*s**3*x + 207*h*s**3*y + 2*h*x - 23*h*y + 44*s**2*x*y + 33670*s*x wrt y? 207*h*s**3 - 23*h + 44*s**2*x Find the third derivative of -1740378*a**5 + a**2 - 397480*a - 1 wrt a. -104422680*a**2 Find the third derivative of v**4 + 85814*v**3 + 318*v**2 - 215. 24*v + 514884 Find the third derivative of 2*b**3*p*w**2 - 10*b**3*q + 1015*b**3*w**2 - 33*b**2*p*q*w**2 - 2*b**2*w - 57*b*p*w + b*q*w**2 + 7*p*q*w**2 - p + 2*q*w**2 wrt b. 12*p*w**2 - 60*q + 6090*w**2 What is the second derivative of 21430*w**3 - w + 171336? 128580*w Find the third derivative of -1087264*j**4 - j**2 - 512406. -26094336*j Differentiate -398*g**3*r**2 + 233*g**3 + 14*g**2*r - 9*g**2 - 9 with respect to r. -796*g**3*r + 14*g**2 Differentiate 488*k**2 - 32*k - 2005120. 976*k - 32 What is the second derivative of 149532*g**2 - g - 127985? 299064 What is the third derivative of 25164*s**6*z**2 - 5172*s**2*z**2 + 2*s**2*z + 2*z wrt s? 3019680*s**3*z**2 Find the second derivative of 3133826*b**2 + 550*b - 1558 wrt b. 6267652 Differentiate -38*i**4 - 64337 wrt i. -152*i**3 What is the second derivative of -189*d**5 + 255*d**4*q**2 - 2*d*q**2 + 3*d*q + 903*q**2 + 2 wrt d? -3780*d**3 + 3060*d**2*q**2 Find the third derivative of 2451351*g**4 + 1352*g**2 - 171 wrt g. 58832424*g What is the third derivative of 242666*b**3 - b**2 - 70542*b - 1? 1455996 What is the second derivative of -25*q*w**2*y**2 - 3*q*w**2*y + q*w*y**2 + 2*q*w*y + 3*q + 39*w**2 + w*y**2 + 49*y wrt w? -50*q*y**2 - 6*q*y + 78 Find the second derivative of 262784*q**2 - 93*q - 647. 525568 What is the third derivative of -35893*x**6 + 3*x**4 + 2*x**2 - 7435*x? -4307160*x**3 + 72*x What is the third derivative of 1084*h*l*v**3 - h*l*v - h*v**3 - 3355*h*v**2 + 3*l*v**3 + 2*l*v**2 - 2*v**3 wrt v? 6504*h*l - 6*h + 18*l - 12 Find the second derivative of 339*a**2*g**2 - 4*a**2*g - 9*a**2 + 13*a - 903*g**2 wrt a. 678*g**2 - 8*g - 18 What is the derivative of -5*q**3*r - 71*q**3 + 11*q**2*r - 138*q + 31*r wrt r? -5*q**3 + 11*q**2 + 31 What is the third derivative of 12352*u**3 - 380*u**2 - 8 wrt u? 74112 What is the third derivative of -2*g**3*h**3*i - 4*g**3*h**2 + 11323*g**2*h**3*i + 38*g**2*h**2*i + g**2*h*i - 2*g**2*h - 3*g*h wrt h? -12*g**3*i + 67938*g**2*i What is the second derivative of -167*s**5 + 213*s**4 + 296017*s? -3340*s**3 + 2556*s**2 Differentiate -21155*u + 129600. -21155 Find the second derivative of 921*i*y**5 + 40372*i*y + 3*i + 3*y**3 + 4*y**2 + 3*y + 1 wrt y. 18420*i*y**3 + 18*y + 8 Differentiate 9*j**3*m - 3*j**3 - 2*j**2*m + 43*j*m + 38015*j + 29*m + 2 with respect to m. 9*j**3 - 2*j**2 + 43*j + 29 Find the third derivative of 3063*h**3*l**3*t**3 + h**3*l**3 + h**3*l*t**3 + 8*h**3 - h**2*l*t**2 + 5*l**2*t**3 + 72*l**2 wrt l. 18378*h**3*t**3 + 6*h**3 Find the second derivative of 642468*c**2 - 723978*c wrt c. 1284936 What is the derivative of t**3 - 38369*t - 72833? 3*t**2 - 38369 What is the first derivative of 2*j**4 - 3614*j**3 + 3*j**2 - 2*j + 501459 wrt j? 8*j**3 - 10842*j**2 + 6*j - 2 Find the second derivative of 932*b**2*h**2*s + 138*b**2*h**2 - 50*b**2*h*s + 2*b**2*s + 2*b**2 + 4*h*s - 5*s wrt h. 1864*b**2*s + 276*b**2 What is the second derivative of -387313*c**3 - 8*c - 22820? -2323878*c Find the first derivative of -4*u**4 + 1894*u**2 - 32453 wrt u. -16*u**3 + 3788*u Find the first derivative of 3*u**3 + 40*u**2 - 820*u - 2112740 wrt u. 9*u**2 + 80*u - 820 What is the third derivative of -382179*l**3 + 7*l**2 - 17*l - 450 wrt l? -2293074 What is the third derivative of -491*p**3*s**3 + 46284*p**3*s - 3*p**2*s**2 + 198*s**4 wrt s? -2946*
{ "pile_set_name": "DM Mathematics" }
2, 24293201? 4858639*d + 6 What is the s'th term of -4420, -17863, -40268, -71635? -4481*s**2 + 61 What is the w'th term of 299884, 1199443, 2698708, 4797679, 7496356, 10794739, 14692828? 299853*w**2 + 31 What is the f'th term of -341065, -682120, -1023173, -1364224, -1705273, -2046320? f**2 - 341058*f - 8 What is the h'th term of -43128, -42851, -42584, -42327, -42080? -5*h**2 + 292*h - 43415 What is the i'th term of -16925, -16378, -15831, -15284, -14737? 547*i - 17472 What is the b'th term of 7539, 19052, 30565, 42078, 53591? 11513*b - 3974 What is the v'th term of -41251, -164948, -371081, -659626, -1030559? 4*v**3 - 41242*v**2 + v - 14 What is the u'th term of 50782353, 50782352, 50782351, 50782350, 50782349? -u + 50782354 What is the n'th term of 902, 3509, 7810, 13799, 21470, 30817, 41834? -n**3 + 853*n**2 + 55*n - 5 What is the c'th term of -879826578, -879826577, -879826576, -879826575, -879826574, -879826573? c - 879826579 What is the x'th term of 188460, 377000, 565540? 188540*x - 80 What is the m'th term of 27568, 55166, 82812, 110530, 138344, 166278, 194356? 4*m**3 + 27570*m - 6 What is the l'th term of 847694899, 847694900, 847694901, 847694902, 847694903, 847694904? l + 847694898 What is the z'th term of 18509, 18561, 18613, 18665, 18717, 18769? 52*z + 18457 What is the j'th term of 911, 5670, 18135, 42158, 81591? 642*j**3 + j**2 + 262*j + 6 What is the j'th term of 564177, 564255, 564347, 564459, 564597, 564767, 564975, 565227? j**3 + j**2 + 68*j + 564107 What is the a'th term of -273084, -546235, -819390, -1092549, -1365712? -2*a**2 - 273145*a + 63 What is the l'th term of -15722811, -15722826, -15722851, -15722886, -15722931? -5*l**2 - 15722806 What is the q'th term of 979176, 1957891, 2936604, 3915315, 4894024? -q**2 + 978718*q + 459 What is the k'th term of 266521, 265523, 264523, 263521, 262517, 261511? -k**2 - 995*k + 267517 What is the l'th term of -10541892, -10541892, -10541894, -10541898? -l**2 + 3*l - 10541894 What is the t'th term of 316153, 632176, 948197, 1264216, 1580233? -t**2 + 316026*t + 128 What is the x'th term of -388, -3187, -10796, -25609, -50020, -86423? -399*x**3 - 11*x**2 + 27*x - 5 What is the f'th term of 1248, 3098, 6126, 10920, 18068, 28158, 41778? 98*f**3 + f**2 + 1161*f - 12 What is the l'th term of -16287, -32487, -48687, -64887, -81087? -16200*l - 87 What is the y'th term of 51710587, 103421172, 155131757? 51710585*y + 2 What is the j'th term of -39, -355, -1195, -2823, -5503, -9499? -44*j**3 + 2*j**2 - 14*j + 17 What is the g'th term of -3091439, -12365731, -27822879, -49462877, -77285719, -111291399? g**3 - 3091434*g**2 + 3*g - 9 What is the h'th term of 4964, 4518, 3774, 2732, 1392, -246, -2182? -149*h**2 + h + 5112 What is the c'th term of -1034, -2128, -3196, -4238, -5254, -6244, -7208? 13*c**2 - 1133*c + 86 What is the y'th term of -104, -208, -248, -182, 32? 7*y**3 - 10*y**2 - 123*y + 22 What is the i'th term of -200, 969, 4994, 13303, 27324, 48485, 78214, 117939? 238*i**3 - 497*i + 59 What is the f'th term of -48601, -97123, -145565, -193927, -242209? 40*f**2 - 48642*f + 1 What is the g'th term of -910, -1985, -3416, -5203, -7346, -9845, -12700? -178*g**2 - 541*g - 191 What is the t'th term of 1404, 3792, 7158, 11502, 16824, 23124, 30402? 489*t**2 + 921*t - 6 What is the s'th term of 1309435, 1309441, 1309447, 1309453, 1309459, 1309465? 6*s + 1309429 What is the t'th term of -240, 291, 1182, 2439, 4068? t**3 + 174*t**2 + 2*t - 417 What is the o'th term of -4620, -4583, -4470, -4239, -3848, -3255, -2418? 7*o**3 - 4*o**2 - 4623 What is the v'th term of -9710110, -9710108, -9710106, -9710104? 2*v - 9710112 What is the o'th term of 1722, -294, -5708, -16218, -33522? -283*o**3 - o**2 - 32*o + 2038 What is the u'th term of 7756, 14781, 21806, 28831, 35856? 7025*u + 731 What is the o'th term of 1185093, 1185114, 1185135? 21*o + 1185072 What is the f'th term of 60960, 243929, 548906, 975891, 1524884, 2195885? 61004*f**2 - 43*f - 1 What is the s'th term of 181282724, 181282715, 181282704, 181282691, 181282676, 181282659? -s**2 - 6*s + 181282731 What is the g'th term of 237226, 237539, 237852, 238165? 313*g + 236913 What is the w'th term of 740, 3303, 7576, 13559? 855*w**2 - 2*w - 113 What is the q'th term of 82358, 164648, 246924, 329180, 411410, 493608, 575768, 657884? -q**3 - q**2 + 82300*q + 60 What is the j'th term of -747, 745, 3235, 6723, 11209, 16693, 23175? 499*j**2 - 5*j - 1241 What is the r'th term of -6328, -12714, -19136, -25564, -31968, -38318, -44584? 5*r**3 - 48*r**2 - 6277*r - 8 What is the a'th term of -8880672, -17761336, -26642000, -35522664, -44403328, -53283992? -8880664*a - 8 What is the q'th term of -140558, -281114, -421658, -562190, -702710, -843218? 6*q**2 - 140574*q + 10 What is the p'th term of -849467742, -849467741, -849467740, -849467739, -849467738? p - 849467743 What is the o'th term of 10755, 21423, 32111, 42825, 53571, 64355, 75183? o**3 + 4*o**2 + 10649*o + 101 What is the y'th term of 5474, 21549, 48232, 85517, 133398, 191869? -y**3 + 5310*y**2 + 152*y + 13 What is the m'th term of 613379, 1226898, 1840417? 613519*m - 140 What is the s'th term of 767692, 767684, 767676, 767668, 767660? -8*s + 767700 What is the a'th term of -473516, -474244, -474972, -475700, -476428? -728*a - 472788 What is the h'th term of -25, 2435, 8995, 21701, 42599, 73735, 117155, 174905? 341*h**3 + 4*h**2 + 61*h - 431 What is the r'th term of 506, 1831, 5124, 11273, 21166, 35691, 55736? 148*r**3 + 96*r**2 + r + 261 What is the g'th term of 33351271, 33351262, 33351253, 33351244, 33351235, 33351226? -9*g + 33351280 What is the g'th term of 133229, 532603, 1198233, 2130125, 3328285, 4792719? g**3 + 133122*g**2 + g + 105 What is the c'th term of -1165854, -1165851, -1165848, -1165845, -1165842, -1165839? 3*c - 1165857 What is the o'th term of -59547, -116380, -173213, -230046, -286879? -56833*o - 2714 What is the w'th term of 1025886, 2051579, 3077272? 1025693*w + 193 What is the m'th term of -35086607, -35086608, -35086609, -35086610? -m - 35086606 What is the x'th term of -239264, -957013, -2153260, -3828005, -5981248, -8612989, -11723228? -239249*x**2 - 2*x - 13 What is the h'th term of 6962, 7337, 7910, 8675, 9626, 10757, 12062, 13535? -h**3 + 105*h**2 + 67*h + 6791 What is the r'th term of -1748138, -1748155, -1748164, -1748159, -1748134, -1748083? r**3 - 2*r**2 - 18*r - 1748119 What is the h'th term of 19251, 40938, 62625, 84312, 105999? 21687*h - 2436 What is the m'th term of 8394, 6485, 4590, 2715, 866, -951, -2730, -4465? m**3 + m**2 - 1919*m + 10311 What is the i'th term of -120504, -475813, -1068002, -1897077, -2963044? -i**3 - 118434*i**2 - 2069 What is the r'th term of -301981, -603950, -905919, -1207888, -1509857? -301969*r - 12 What is the x'th term of -942899, -1885818, -2828737, -3771656, -4714575, -5657494? -942919*x + 20 What is the c'th term of -24045, -48163, -72281, -96399? -24118*c + 73 What is the p'th term of 7149, 6753, 5709, 3693, 381, -4551, -11427? -54*p**3 - 18*p + 7221 What is the z'th term of -19535, -77933, -175195, -311321, -486311? -19432*z**2 - 102*z - 1 What is the s'th term of 315422, 315494, 315566? 72*s + 315350 What is the w'th term of -114, -60, -12, 24, 42, 36, 0, -72? -w**3 + 3*w**2 + 52*w - 168 What is the v'th term of 46630507, 46630503, 46630499? -4*v + 46630511 What is the l'th term of -14230, -14819, -15804, -17185, -18962, -21135? -198*l**2 + 5*l - 14037 What is the n'th term of 83865, 167762, 251659, 335556? 83897*n - 32 What is the y'th term of 651, 2996, 7059, 12840, 20339, 29556? 859*y**2 - 232*y + 24 What is the w'th term of -12852, -102931, -347472, -823707, -1608868, -2780187, -4414896? -12872*w**3 + w**2 + 22*w - 3 What is the n'th term of -26, -45, -68, -95, -126? -2*n**2 - 13*n - 11 What is the g'th term of 9022583, 18045108, 27067645, 36090200, 45112779, 54135388? g**3 + 9022518*g + 64 What is the l'th term of 1735604, 3471112, 5206620, 6942128, 8677636, 10413144? 1735508*l + 96 What is the b'th term of -515421569, -515421570, -515421571? -b - 515421568 What is the c'th term of 46257, 47683, 49107, 50529, 51949, 53367? -c**2 + 1429*c + 44829 What is the h'th term of -25571, -25648, -25709, -25748, -25759? h**3 + 2*h**2 - 90
{ "pile_set_name": "DM Mathematics" }
19*i + 91. Give x(g). 3 Let p = 510 - 511. Let l be -5 + -3 + 5 + p. Let g(q) = 3*q + 6. Determine g(l). -6 Let s(z) = 5*z - 2. Let r be (-2 - (-3 + (-18)/3)) + 4. Suppose 4*w + 7*q = 10*q + r, -3*q + 7 = 5*w. Suppose -f - 17 = -3*m, 0 = f + w*f - 5*m + 31. Give s(f). -12 Let d(f) = -f + 11 + 6 - 8 + 4. Suppose -5 = -o + 62*w - 61*w, o = 4*w + 5. Calculate d(o). 8 Let c(t) = -t**3 - 6*t**2 + 5*t - 3. Let v(b) = -b**3 - 5*b**2 - 6*b - 7. Suppose -120 = -4*z - 132. Let f be v(z). Determine c(f). 11 Let d(i) be the third derivative of i**4/24 - 3*i**3 - 4*i**2 - 662*i + 1. Give d(4). -14 Let i be (-2444)/(-52) + (-22 - 0). Let k(w) = -2*w + 48. Calculate k(i). -2 Let z(q) = -q**2 + 28*q - 36. Let n(o) = 2*o**3 - 19*o**2 + 24*o + 27. Let c be n(8). Determine z(c). -9 Let o(c) = -36*c + 106. Let m(a) = -7*a + 21. Let n(s) = 16*m(s) - 3*o(s). Let u be n(4). Suppose -u*g + 0*g = 6. Let y(q) = q + 6. Give y(g). 3 Suppose -26 = -2*h + 3*k, -77*h + 79*h - 30 = k. Let t(j) = 2*j - 36. Give t(h). -4 Let y(f) be the first derivative of 5/2*f**2 - 225 + 34*f. Calculate y(-6). 4 Let n(s) = s**2 + 35*s - 66. Let b be n(-37). Suppose 28*d = 20*d - b. Let m(p) = -9*p**3 + 2*p - p - 2*p**2 + 3*p**2. What is m(d)? 9 Let l(z) = -z**3 - 3*z**2 - 5*z - 4. Let b be -366*(-3)/6*20/(-12). Let c = -309 - b. Determine l(c). 32 Let l(p) = p - 6 - 6 - 5 + 13 - 1. Let m = 11 - 14. Determine l(m). -8 Let b(z) = -7*z. Let u(n) be the third derivative of -n**6/120 + n**5/20 + 7*n**4/24 + 5*n**3/6 + n**2 + 20*n. Let j be u(-1). What is b(j)? -14 Let l(b) = -1. Let k(v) = -v**2 + 8*v - 11. Let j(n) = -k(n) + 6*l(n). Let i = -5 - -31. Suppose -i*m + 20*m = -42. Determine j(m). -2 Let i be (-15)/12*2*-12. Suppose 273 = -9*r + i*r. Let u(g) = g**3 - 12*g**2 - 13*g + 8. What is u(r)? 8 Let h(d) = d**2 + 4*d + 6. Suppose -j = -3*j + 132. Let a be 32/(-8) + j/(-3). Let z = a + 22. Give h(z). 6 Let r(b) = 13*b**3 + 21*b**2 - 3*b + 10. Let w(l) = -5*l**3 - 7*l**2 + l - 3. Let x(f) = -3*r(f) - 8*w(f). Calculate x(7). 1 Let d(f) = -f**3 + 8*f**2 - 6*f - 4. Let m be d(7). Let p(g) be the third derivative of 0 + 1/12*g**4 - 2/3*g**3 + 0*g + 1/30*g**5 - 155*g**2. Calculate p(m). 20 Let n(i) = -i**3 + 25*i + 3. Let m(b) = b**3 - 25*b - 5. Let f(w) = -3*m(w) - 2*n(w). Calculate f(-5). 9 Let m(h) be the third derivative of 5*h**4/12 - 119*h**3/6 - 170*h**2 + 2*h. Give m(12). 1 Let q be 0 - (24/16)/(6/(-184)). Let g = q + -47. Let c be g*(5 + -4) + -1*5. Let s(w) = w**2 + 8*w + 7. What is s(c)? -5 Let u = 70 + -73. Let w(r) = 2*r + 5. Let z(f) = f. Let y(s) = u*z(s) + w(s). Suppose 10*l + 2*l = 84. What is y(l)? -2 Let t(z) be the second derivative of 7/2*z**2 + 1/12*z**4 - 3 + 7/6*z**3 + 34*z. Calculate t(-6). 1 Let j be 3*16/24 - (-6)/(-3). Let t(m) = 13 - m - m**2 + m**3 + 6 + 1 - 2. Determine t(j). 18 Let j = 16 + -9. Suppose 0 = 8*w - 6 - 10. Let p(l) = 5*l - 11*l**2 + 17*l**2 + l**3 - 12*l**2 - 2*l**w + 8. Calculate p(j). -6 Suppose 3*k + 936 - 1206 = 0. Suppose -k = 99*h - 84*h. Let t(p) = -12*p - 24. Let v(w) = -4*w - 8. Let n(a) = -3*t(a) + 10*v(a). Give n(h). 16 Let d be (-12)/(-9)*(-3)/2. Let m = -1 + d. Let f(x) = 41*x + 64 - 33 - 32 - 37*x. Give f(m). -13 Let o(a) = 5 - 3 - 33197*a + a**3 + 33196*a - 5*a**2. Give o(5). -3 Suppose -4*j - 80 = -5*t + j, 0 = -5*t + 3*j + 72. Let q(l) = 0*l + l - 6 - 11 + l. Calculate q(t). 7 Let r(i) = -5*i + 4. Let z(m) be the second derivative of 2*m**3 - 6*m**2 - 33*m. Let g(u) = -5*r(u) - 2*z(u). What is g(-9)? -5 Let h(q) = -q - 9. Let x = -59 - -66. Suppose x*c = -c - 104. Calculate h(c). 4 Let w = 179 + -184. Let f(o) = -o**2 - 5*o + 2. Let u(k) = 48*k + k**2 - 2 + 48*k - 91*k. Let v(y) = -7*f(y) - 6*u(y). What is v(w)? -2 Let w(d) be the second derivative of -d**4/12 + 5*d**3/6 + d**2/2 - 245*d + 2. What is w(-2)? -13 Let m(y) be the third derivative of 1/6*y**3 + 0*y**4 - y**2 - 35 + 0*y + 1/20*y**5 + 1/120*y**6. Determine m(-2). 5 Let b(d) = d - 1. Let i(q) = -5*q + 31. Suppose 8 = 28*l - 32*l. Let c = l + 9. Let k be i(c). Determine b(k). -5 Let q(u) = 2 - 1 - 97*u + 0 + 96*u. Suppose -4*j = n - 27, 3*n - 4*n = -j - 7. Let g(p) = p**3 - 9*p**2 - 22*p - 1. Let o be g(n). What is q(o)? 2 Let l(o) = 142*o - 360*o + 149*o - 214 + 46*o. What is l(-9)? -7 Let t(o) = -o**2 + 5*o - 1. Let v be t(4). Let f(z) = 0*z - 9 - z + v. Suppose 2905*g - 5*c - 30 = 2910*g, -3*g + c = 14. What is f(g)? -1 Let m be ((-87)/(-2))/29*34/(-3). Let t(f) = -4*f - 79. Give t(m). -11 Let g(k) be the first derivative of k**3/3 + k**2/2 - 2*k + 1902. Give g(5). 28 Let j(u) = 2*u - 4. Let r(a) = -2*a + 88. Let l be r(46). Let z = 0 + -1. Let i be (-364)/(-56) - (-1 + z)/l. Determine j(i). 8 Suppose -2*m - 2*j + 10 = -6, -j = 0. Let t be 1/3 + (408/18 - 5). Let y(s) = 12*s - 5*s - t - 6*s. Calculate y(m). -10 Let q be (-2)/(-2) + 1 + 7. Let n(d) = d**2 - 17*d + 39. Let c(l) = l**2 - 15*l + 30. Let y(v) = -4*c(v) + 3*n(v). Determine y(q). -3 Let n(i) = -5*i**2 + 17 - 19 + 3*i - 7 - i**3 + 7*i**2. Calculate n(4). -29 Let f(c) be the third derivative of -7/6*c**3 - 1/12*c**4 + 0*c + 0 - 170*c**2. Determine f(-4). 1 Let g(n) = n**2 - 4*n. Let t = -73 + 51. Let a = -19 - t. Let l = 2 + a. Give g(l). 5 Let u(m) = -2*m**2 + m - 12. Let t(o) = 2*o**2 + 16. Let y(c) = -3*t(c) - 4*u(c). Let s(w) = 3*w - 3. Let j be s(-3). Let g be (j/10)/((-6)/20). What is y(g)? 16 Let c(k) be the third derivative of -k**6/120 - k**5/6 + 19*k**4/8 + 11*k**3/6 + 1527*k**2. Calculate c(-14). -3 Let b = -3474 - -3465. Let z(a) = a**3 + 7*a**2 - 11*a + 15. Calculate z(b). -48 Let u(p) = -p + 2. Let l(o) = -o**2 + 2. Let j be l(-2). Let c(m) = m + 8. Let i be c(j). Determine u(i). -4 Let a(o) = -2*o + 5*o + 5*o**2 - 7*o**2 + 0 - 4. Calculate a(5). -39 Let v(m) = 19*m - 6*m - 2*m + 1 - 10*m. Let b = 6 - 10. Let l(g) = -g**3 - 3*g**2 + 4*g + 5. Let z be l(b). Give v(z). 6 Let s(f) = 3*f**2 + 80*f - 25. Let q be s(-27). Let m be 1 + -4 - q*3/(-6). Let k(u) = 4*u**2 - u - 1. Determine k(m). 17 Let b(p) be the first derivative of p**5/20 - p**4/4 - p**3/2 - 3*p**2/2 + 2*p - 1. Let m(u) be the first derivative of b(u). Let x = -423 + 427. Give m(x). 1 Let f(v) = 27*v + 26. Let r(c) = 50*c + 52. Suppose 11 = 3*b + 44. Let g(m) = b*f(m) + 6*r(m). Determine g(-12). -10 Let w(c) = -c**2 - 2*c + 9. Let v be (48/(-32))/((-6)/16). Determine w(v). -15 Let r(z) = -17*z - 20. Let o(m) = -8*m - 11. Let b(u) = 7*o(u) - 3*r(u). Give b(-6). 13 Let r(m) = 5*m - 25 + m**2 - m**3 - 3*m - 3*m. Let t(v) be the first derivative of v**4/4 - 7*v**3/3 - 9*v**2 + 127. Let i be t(9). What is r(i)? -25 Let t = 36 + -31. Suppose 15 = t*k - 10. Suppose 0 = k*w - 3*p - 58 + 6, 3*w - 8 = -4*p. Let c(m) = m**2 - 7*m - 2. Give c(w). 6 Let c(m) = 0*m**2 + m**2 - 8 + 8096*m - 8094*m. Suppose -4*l = -18*l - 56. Calculate c(l). 0 Let o = -4488 - -13471/3. Let h(w) be the first derivative of 0*w + 1/2*w**2 + o*w**3 - 1. What is h(-1)? 6 Let g = 4034 - 4034. Let l(x) = -x**2 + 94. Calculate l(g). 94 Let w(a) = 15*a. Let k be 0/(-1*(0 + -2)*-1). Suppose k = s + s - 22. Suppose b + 5*c - 14 = 0, 2*b + 0*c = 3*c - s. Give w(b). -15 Let y(x) = -258*x + 19. Let v(i) = 221*i - 21. Let f(u) = 7*v(u) + 6*y(u). What is f(7)? -40 Suppose -13*g + 26 = -130. Let y(n) = g*n + 9 + 10*n**2 + 17*n**3 - 38*n**3 + 13*n**3 + 9*n**3. Give y(-8). 41 Let o(f) = -f - 6. Let b be (-4)/(-30) - ((-2491)/(-795) + -1*3). Give o(b). -6 Let r = 8144 - 8150. Let s(w) = 2*w**3 + 12*w**2 + w + 1. Determine s(r). -5 Let i(f) = 4*f - 2 - 1 - 3*f. Suppose -15 = -12*n + 93. Let p = 3 - n. Give i(p). -9 Let a(r) = 10 - 2*r - 1 + 0*r. Let y be (-8)/(-2)*(-19)/38 + 8. Calculate a(y). -3 Let i(z) = -7*z**2 + 4*z. Let t(u) = u**2 - u. Let a(f) = i(f) + 5*t(f). Suppose -l = 30*g + 39, 3*l = -13 - 14. Give a(g). -1 Let u(v) be the third derivative of v**6/120 + 2*v**5/5 + 7*v**4/8 - 23*v**3/3 - 786*v**2. What is u(-23)? 0 Let q(z) = z**2 - 6*z - 7. Let b(t) = t**3 - 4*t**2 + 10*t - 12. Let n be b(2). Suppose 4*i + 5*i - 54 = n. Give q(i). -7 Let z = -994 + 991. Let j(c) = -c - 9. Give j(z). -6 Let c = -19611 - -19607. Let p(m) = -m**3 - 3*m**2 + 7*m + 17. Determine p(c). 5 Let y(a) be the second derivative of a**5/20 - a**2/2 + 9999*a. Determine y(1). 0 Suppose 0 = 6*u - 2*u - 16. Let k
{ "pile_set_name": "DM Mathematics" }
smallest value in 1/9, -0.3, -2, -1, -3/954481? 1/9 Which is the third smallest value? (a) 1/8754 (b) 36/5 (c) -1.4 (d) -0.2 (e) -0.5 d Which is the second biggest value? (a) 73 (b) 2.833 (c) 3/23 b What is the fifth biggest value in -5, -1394971, 1, -0.2, -3? -1394971 Which is the biggest value? (a) 47 (b) 4974 (c) -0.2 (d) 0 (e) -4 (f) -0.18 b What is the third smallest value in 6, 12, -301, 1484? 12 Which is the third biggest value? (a) 39 (b) 1/9 (c) -0.0159127 c What is the sixth smallest value in -11, 7597, -0.5, 0.2, 4, 0? 7597 Which is the biggest value? (a) -53 (b) 0.5 (c) -1.21 (d) 3 d What is the fourth smallest value in 0, -2/19, -0.87, 2/5, 5, 9.8? 2/5 What is the second smallest value in -5, 5211, -4, 1? -4 Which is the second biggest value? (a) -0.061 (b) 0.198749 (c) 2/11 c Which is the second biggest value? (a) -1662680 (b) -2 (c) 2/9 (d) 2 (e) -1/3 c Which is the second smallest value? (a) 2/7 (b) -272 (c) -681 b Which is the second smallest value? (a) -575 (b) 5454 (c) -5 (d) -2 c Which is the third biggest value? (a) 5 (b) 2/43 (c) -29.9203 (d) -0.3 d Which is the second biggest value? (a) 3 (b) -8 (c) 14271 (d) 1/11 (e) 0.5 (f) -0.3 a Which is the fifth biggest value? (a) 0.3 (b) 1/4 (c) 2/7 (d) 0.5 (e) -236/3 (f) 4 b What is the smallest value in -3.49, 0.24, 1, -2/13, 650? -3.49 What is the fifth biggest value in 4, -0.53, -0.2, 3, 1507, -2/9? -2/9 Which is the third smallest value? (a) 1.2 (b) -42/25 (c) -2 (d) 11.8 a Which is the fourth biggest value? (a) -2/9 (b) 2 (c) 2/7 (d) -11 (e) -7 (f) -56 e What is the third biggest value in -4/23, 4, -0.3, 7/1622? -4/23 Which is the fourth biggest value? (a) 2/13 (b) 5 (c) 3/84478 (d) -1.54 d Which is the third biggest value? (a) 229150 (b) 2/105 (c) 2 b Which is the third biggest value? (a) 0.34 (b) -7 (c) -0.6 (d) -0.3 c Which is the third biggest value? (a) 0.8 (b) 76996 (c) -0.38 (d) 4/7 d What is the fourth smallest value in 118, -5, -3864, 4? 118 What is the biggest value in 1.6, -1/4, 2/3, -0.2, 1298, -24? 1298 Which is the second biggest value? (a) -2 (b) 0.2 (c) -167/42 (d) -0.3 (e) 3/2 (f) -2/3 b Which is the smallest value? (a) -3 (b) -510108 (c) 2/3 (d) -0.2 (e) 2 b Which is the fourth smallest value? (a) -69 (b) 1 (c) 2 (d) 5 (e) 1/5 (f) -1.65 b What is the smallest value in 0, 5, -0.01435, -4/9, 16, -0.1, 1? -4/9 What is the fifth biggest value in 0.2, -1203, 0, 3, 5/3386? -1203 Which is the second smallest value? (a) -3/4 (b) -9 (c) -38 (d) 0.1 (e) -3.41 (f) 0.11 b What is the third biggest value in -5, 1.5, 2084, -1/2, -3, 0.4? 0.4 What is the fourth smallest value in -4, 0.4, -29.624, 0, 15? 0.4 Which is the third biggest value? (a) 0.2 (b) -4 (c) 1.5 (d) -0.5 (e) -3/7 (f) -1916 (g) 3/4 a Which is the biggest value? (a) 1.984513 (b) 0 (c) -0.2 a What is the sixth biggest value in 2.84, -0.2, -4, 0.5, 1, 5/52? -4 What is the third biggest value in -2/9, -4, -27, 118/81, -0.2, -2/5? -2/9 Which is the third smallest value? (a) -120984/17 (b) -0.2 (c) 256 c What is the fifth biggest value in -167, 5, -0.1, 2/15, 4371? -167 What is the biggest value in -86045, 2, 47? 47 What is the second smallest value in -0.5, 0.94, 36218/11? 0.94 Which is the fifth smallest value? (a) -8 (b) -1/3 (c) -0.3 (d) 85594 (e) -5 (f) -4/3 (g) -2 b Which is the third smallest value? (a) -6972/29 (b) 3 (c) 321 c What is the fourth smallest value in -125, -8, 0.2, 12999? 12999 Which is the seventh smallest value? (a) -4/5 (b) 0.5 (c) 2/45 (d) 3 (e) 4 (f) -1/12 (g) -0.18 e Which is the second smallest value? (a) 9 (b) -348/1277 (c) 5 c What is the second biggest value in 10/7, -2/3, 337/38? 10/7 Which is the biggest value? (a) 1 (b) 3 (c) -2.71 (d) -1.14 (e) 1/6 (f) -3 (g) 0.4 b What is the biggest value in -3/284, 39, 1/7, 15? 39 Which is the second biggest value? (a) 6 (b) 1/4 (c) 0.0669 (d) -557 b Which is the third biggest value? (a) 221.06 (b) -0.2 (c) -2228 c What is the fifth biggest value in -3, 4, 6, 3, 2/11, 17, 3/8? 3/8 Which is the fifth biggest value? (a) -19378 (b) 1/15 (c) 4 (d) -63 (e) -4 a What is the fourth biggest value in -1.8, -9, -53, -0.5? -53 What is the third smallest value in -6/11, 0.1, 40/3, 2/3, 3, -30, 0.2? 0.1 What is the second smallest value in 3, -0.46, -3, 1/6, -0.1, -2/5, -1.3041? -1.3041 What is the second biggest value in 37, -4/5, 325/12? 325/12 Which is the smallest value? (a) 4 (b) -0.1 (c) -5 (d) 0.1 (e) 0.5 (f) -69 (g) -1/2 f Which is the third smallest value? (a) -5 (b) 0.1 (c) -0.08 (d) -47071 c Which is the third smallest value? (a) 2/11 (b) 2/17 (c) 0.8 (d) 2252424 c What is the fourth smallest value in -209, 3, 2/11, 2, 0.5, -239? 0.5 Which is the second smallest value? (a) -1 (b) 50/21 (c) 3 (d) -7311 a Which is the smallest value? (a) -18 (b) 0.3 (c) 0.2 (d) -0.3276 a Which is the fourth biggest value? (a) -8 (b) -0.3 (c) -1.540815 (d) 1/5 (e) 3 c Which is the fifth biggest value? (a) -6/11 (b) -0.2 (c) 715 (d) 4 (e) -1 (f) 2 (g) -0.1 b Which is the smallest value? (a) 11 (b) -19 (c) 4 b Which is the third smallest value? (a) 0.07 (b) 3 (c) 2/3455 (d) 147 b What is the fourth biggest value in 0, -398, 2, -1546.9? -1546.9 What is the second smallest value in -15/2, -151435, -0.3? -15/2 What is the second biggest value in 21, -1/5, 374, -4, 3/2, -3, 2? 21 What is the fifth smallest value in 0.2, 0.4, 17, -477/4, -1/3, 1341/4? 17 What is the third biggest value in -107/5, 5, 3.02, -0.4, -5, 4/5? 4/5 What is the third smallest value in 0.07, -0.3, 3/841, -5, 0.16? 3/841 Which is the fifth biggest value? (a) -7674 (b) -0.1 (c) -6 (d) 1.1 (e) 6 a Which is the second biggest value? (a) 67/5 (b) -12 (c) -2/3 (d) 3 (e) -7 d Which is the third smallest value? (a) -2473 (b) 0.5 (c) -20 (d) 6 b Which is the second smallest value? (a) -1.4 (b) 0.1 (c) -4 (d) -0.07 (e) -94 (f) -0.41 c What is the fifth biggest value in -3/7, 203, 0.5, 5, -46, 18, -2/7? -2/7 Which is the second biggest value? (a) -14 (b) -0.51 (c) 0.09 (d) -1/6 d What is the third smallest value in -374, -4, -589, -18? -18 What is the fourth smallest value in -2917, 2/9, 0.4, 4, 5, -2/5, -1/2? 2/9 Which is the smallest value? (a) 1 (b) -5.4 (c) -1 (d) 0.3 (e) -3 (f) 2/5 (g) 2 b Which is the third smallest value? (a) 0.17 (b) 100555 (c) 3.6 b What is the second smallest value in -2, -1/3, 0.02, -3/5, 7, -2/23, -19? -2 What is the third smallest value in -4, 1, 0.353, 2, 25062? 1 Which is the fourth smallest value? (a) -15 (b) -2/5 (c) -12072 (d) 0.4 d Which is the second biggest value? (a) 3 (b) 16/17 (c) -674 (d) -8/43 b What is the fourth smallest value in -16962, -2, 1, -1.187? 1 Which is the smallest value? (a) 5152 (b) 0 (c) -0.1 (d) -16 d Which is the second smallest value? (a) 2 (b) -1 (c) 0 (d) 3 (e) -0.5 (f) -1/293 (g) 267/8 e What is the second biggest value in -5/481, -32, 3/4, -1/2, 1? 3/4 What is the fifth biggest value in -0.3, -0.2, 4, 562.379, 0.1? -0.3 What is the biggest value in -0.19461, 0.2, -4, -3, -0.296, -5? 0.2 What is the fourth biggest value in -29, 6, 2/7, -0.2564, -1? -1 Which is the sixth smallest value? (a) 1 (b) 2/3 (c) -5/6 (d) -8 (e) -998 (f) 12 f Which is the second smallest value? (a) -424408 (b) 0 (c) 3/22 (d) 0.4 b Which is the sixth smallest value? (a) 2/3 (b) 0.5 (c) -100 (d) 2/21 (e) -75 (f) -2 (g) -5/6 b Which is the fourth biggest value? (a) -488/7 (b) -2/43 (c) -5 (d) -2 (e) 3 (f) -0.16 d Which is the fifth smallest value? (a) 2/13 (b) -30 (c) -134 (d) -5 (e) -0.1 (f) 0.35 (g) 5 a Which is the sixth smallest value? (a) -2/21 (b) -1.1 (c) -0.3 (d) 3 (e) -0.7 (f) -4.49 d What is the smallest value in 2, -1/18, 3, 19/4, 527? -1/18 Which is the biggest value? (a) -0.5 (b) 0.1881915 (c) -15 b What is the seventh smallest value in 0.5, -1/7, -3, -326, -2/3, -1/6, -219? 0.5 What is the second smallest value in -1/7, -10, -11, -3, -3/2, 0, 14? -10 Which is the second smallest value? (a) -4332 (b) 4 (c) 177 b Which is the third biggest value? (a) 29 (b) -815 (c) 7.
{ "pile_set_name": "DM Mathematics" }
-18*j + 153. Let z be w(21). Let l = z - -456. Does 21 divide l? True Let x(m) = -16 - 20*m + 8 - m - 13. Let h(d) = d + 1. Let r(s) = -3*h(s) - x(s). Is r(2) a multiple of 27? True Let w be -2 - (-5)/2 - (-18)/12. Suppose -24 = -z - 4*d, 0 = 3*z - w*z - 4*d - 48. Is 5 a factor of z? False Let o = -60 + 221. Let j = 213 - o. Is j a multiple of 3? False Suppose 11 = 2*s - 5*g, 5*s + 5*g = -0*g + 10. Suppose -s + 146 = 11*d. Is d even? False Let z(r) be the third derivative of r**6/20 + 7*r**5/60 - r**4/3 - 5*r**3/6 - 10*r**2 - 1. Does 27 divide z(4)? True Let w(t) = -t**3 + 37*t**2 - 107*t - 77. Suppose -73*s + 3*s = -2310. Is w(s) a multiple of 85? False Does 7 divide ((-385)/22 + 14)*-46? True Let p = -23541 - -26941. Is p a multiple of 68? True Let z = 1331 + 7541. Is z a multiple of 8? True Let n = -252 + 253. Is 748 + (-6 - ((-6 - -5) + n)) a multiple of 30? False Let k(r) = -2*r**2 + 13*r - 5. Let g(n) = 5*n**2 - 27*n + 11. Let m(y) = 4*g(y) + 9*k(y). Let c be m(-5). Is 20 a factor of 172 - c/(-3)*3? False Let l = 43 + -42. Let y(i) = 140*i**2 - i. Let n be y(l). Does 35 divide 4*(n/4 + 2)? False Let j = -94 - -91. Does 11 divide -4 + -4*(j + 807/(-12))? False Suppose 0 = -194*t + 139*t + 330000. Is t a multiple of 125? True Let d = -117 + 117. Suppose 0 = 2*h - 3*f - 839, -4*f + d = -20. Does 9 divide h? False Let l(o) = -o**3 - 25*o**2 + 5*o - 62. Let c be l(-27). Suppose -2*i + g + 4*g = -511, 0 = -5*i - 4*g + c. Does 26 divide i? False Let l be (-2)/(-6) - 1220/(-30). Let w = l + -39. Does 19 divide w/(-1*5/(-60))? False Let r(g) = -8*g - 38. Let c be r(-5). Suppose 4*q - 2016 = -i, -4*i - 1008 = -0*q - c*q. Is q a multiple of 45? False Let l = 66 + -57. Suppose 767 = -l*c - 367. Is 13 a factor of 12/30 + c/(-10) + 0? True Suppose 2*l - 43793 - 9947 = -5*i, 53728 = 2*l + 2*i. Is 17 a factor of l? True Does 35 divide ((-38)/19 + 0)/(1/(-6825))? True Is (-928736)/(-152) + 20/(-190) a multiple of 20? False Let j(c) = -7*c - 11. Let d be j(-2). Suppose 3*l - 24 = -d*l. Suppose -820 = -3*r - l*f, 3*f + 382 = r + 113. Does 17 divide r? True Let a = 3227 + 539. Is a a multiple of 94? False Let z be (6/(-8))/((45/(-24))/5). Suppose -2*m - z*m + 16 = 0. Does 4 divide ((-41)/m + 2)/(6/(-32))? True Suppose 2*c + c + 15 = 0. Let h be ((-6)/c)/(((-84)/(-40))/7). Suppose -7 - 173 = -h*d. Does 6 divide d? False Suppose 15*v - 297 + 42 = 0. Suppose z = v*z - 6336. Is z a multiple of 44? True Is 28 a factor of (4 + -26)*(-17704)/44? False Let m be ((-4)/4 - -1)/2. Suppose m = 15*z - 17*z + 8. Suppose y = -z*y + 3*q + 88, 0 = -2*y - 5*q + 60. Is y a multiple of 4? True Let g be -481 + 5 + -4 - -2. Let w = 900 + g. Is w a multiple of 22? False Let h(d) = 18 + 33*d**2 - 31*d**2 - 30*d + 5*d. Let c be h(16). Suppose -c = -7*y + 395. Is 12 a factor of y? False Suppose -517*q - 125052 = -551*q. Is q a multiple of 6? True Let t(n) = -419*n - 15591. Is t(-62) a multiple of 22? False Let y = 9157 + 5068. Does 121 divide y? False Suppose 19700 + 6018 = 11*m. Does 40 divide m? False Suppose 0 = -18*a - 33093 + 87651. Is 101 a factor of a? False Let t = -19707 + 25215. Is t a multiple of 2? True Let u = -221 + 226. Let d(l) = 40*l**2 - 14*l + 22. Is 17 a factor of d(u)? True Suppose -80*r + 23855 = -14225. Is 14 a factor of r? True Let a(i) = -i**3 + 7*i**2 + 8*i + 3. Let n be a(8). Suppose 0 = -5*f - 5*w + 16 + 29, -n*f + 17 = w. Suppose -123 = f*k - 607. Is k a multiple of 33? False Let v(w) = 4*w**3 - w**2 - 12*w - 12. Let s be v(-4). Let y = s - -365. Is 30 a factor of y? False Let j = -589 - -150. Let l = j - -518. Is l a multiple of 2? False Let h(m) = -352*m - 86. Is h(-1) even? True Suppose -11*h + 741 = -17*h + 1917. Does 3 divide h? False Let z be 25*(8/(-12))/(15/(-9)). Suppose 14*y - z*y = 12. Suppose 55 = -y*w + 229. Is w a multiple of 29? True Is ((-31779)/535)/(6/(-340)) a multiple of 22? True Suppose 3485 = t + 3*v - 3875, -7340 = -t + v. Is t a multiple of 4? False Let l = 78387 + -55978. Is 30 a factor of l? False Let u(z) = 40*z - 3. Suppose 0 = -2*m - s - 2*s + 58, -2*m + 2*s = -78. Suppose -o = 32 - m. Does 39 divide u(o)? True Suppose -2*n + 855 + 115 = -3*v, 0 = -v - 5*n - 329. Is 4 a factor of v/(-18)*6/4? False Suppose 83 = 8*k + 51. Suppose k*j - 22 = 14. Is 2 a factor of j? False Let o = 44 - 23. Suppose 4*y + 3*u = 114 - 37, 59 = 3*y + 2*u. Suppose -y*j + o*j = -224. Is 28 a factor of j? True Suppose -51*y + 152933 + 517688 = -290984. Is 9 a factor of y? True Let y(w) = -2*w**2 - 36*w - 18. Let m = -19 - -2. Let v be y(m). Suppose 72 = -14*a + v*a. Is a a multiple of 12? True Suppose 175*z - 13818 - 44282 = 0. Does 3 divide z? False Let d = -6697 - -7916. Is d a multiple of 23? True Suppose 4*x - 2*j = 20, -9 = -x - 5*j + 18. Suppose x*o + 12*o = 152. Does 8 divide o? True Suppose 0 = 2*h + 3*h - 5. Suppose -p + h = -2*p. Is 35 a factor of 3/1 - (p + -31)? True Let w = -31205 + 34880. Is 21 a factor of w? True Let f(z) = 4*z**2 - 107*z + 51. Let o be f(25). Let x be (-4206)/21 + 4/14. Let h = o - x. Is 8 a factor of h? False Let r = -2976 - -7889. Is 11 a factor of r? False Suppose -36*i = -31*i - 2120. Suppose -3*o = -i - 164. Is o a multiple of 28? True Suppose 3*m + 2*t - 128 = 2*m, 5*t = -2*m + 253. Is 18 a factor of ((m - 0) + 1)*232/174? True Suppose 3*y - 4*v = 18, 3*v = 5*y + 5*v - 4. Suppose -y*x + 3*z = z - 482, -5*x = 2*z - 1198. Does 7 divide x? False Let h(n) = 421*n - 889. Is h(21) a multiple of 9? False Suppose -2*s - 8*c = -12*c + 24, -4*c + 12 = 0. Does 25 divide 450/(-4)*(0 + 8/s)? True Let l = 7726 - 4753. Suppose -3565 = -7*m + l. Is 73 a factor of m? False Suppose -u + 2*i = -1686, 2*i - 6130 = -4*u + 584. Is 120 a factor of u? True Suppose 17*p = 4047 + 237. Is 42 a factor of p? True Suppose 0 = -17*l + 13*l + 44. Let n(v) = -l*v + 164 - 158 + v. Is 6 a factor of n(-6)? True Suppose 0 = -b + 4*u + 2, -2*b - 5*u + 26 = -4. Let m be (1 - 1) + b/(-5) + 6. Is 7 a factor of (2 + -1)/(m/92)? False Suppose l + 25 = 39. Suppose -l*h + 1379 = -3325. Does 8 divide h? True Let x = 96 - 99. Let i(c) = 20*c**2 - 5*c - 3. Is i(x) a multiple of 16? True Suppose 187*d - 188*d = 127. Let g = 132 + d. Suppose 4*i - 4*f - 228 = 0, -f = -6*f + g. Does 30 divide i? False Let n(x) = -9133*x - 4383. Does 14 divide n(-3)? True Let f be 4/(-10) - (-8285)/25. Let h = f - 777. Let v = -212 - h. Is v a multiple of 39? True Suppose -20*u = -2618 + 1238. Is u a multiple of 69? True Suppose 0 = 2*y + 5*z - 1588, 0 = 5*y + 2*z + z - 4008. Suppose 4*a - y = -5*i + 4*i, 0 = 5*i. Is 5 a factor of a? False Let t = -3673 - -6423. Does 8 divide t? False Let o = 246 - -1. Suppose 329 = 3*d - o. Is 12 a factor of d? True Suppose f = 2*d - 4, 2*f - 4 = -4*d + 2*d. Suppose 5*i + 2*t - 30 = f, -3*i = -4*i - t + 3. Suppose j + 735 = i*j. Is 19 a factor of j? False Suppose 2*r + 1783 = x + 42, 3*r = -4*x + 6931. Suppose -x - 1735 = -10*t. Is 61 a factor of t? False Let f(t) = 35*t + 2. Let d be f(2). Suppose 3*o = 4*p - d, 4*p - 4*o - o = 72. Let r = 17 + p. Is 5 a factor of r? True Let q = 340 + -337. Suppose -q*k + 0*k - h = -386, 2*k - 3*h = 250. Is k a multiple of 16? True Suppose -2*s - 2*h + 83666 = 0, 90*s + 2*h + 41806 = 91*s. Is 8 a factor of s? True Suppose -14*r + 30*r = 0. Suppose -7*v + 18*v - 5940 = r. Is 45 a factor of v? True Let v(t) = -t**3 + t**2 - 2*t + 148. Let h = -99 + 99. Is v(h) a multiple of 31? False Is 67880/64 - 30/48 a multiple of 20? True Let x be ((-24)/(-3) - 3) + 9 + -11. Is 19 a factor of 419 + (-2 + x)*(-3)/3? True Let w(x) = 18 + 493*x - 180*x + 110*x + 62 + 203*x. Is w(2) a multiple of 12? True Suppose 7*t - 3*t - 104 = 0. Suppose -5*o + 11 = t, j = o + 5. Is (j - 3)/(3/(-348)) a multiple of 13? False Suppose 7*l + 3*l = 30. Suppose -3*c + p + l*p - 137 = 0, c - 5*p + 31 = 0. Is 6/4*(-2584)/c a multiple of 15? False Let h be (-4 - 36/(-10))*-965. Suppose 12*p = 13*p + h. Is 6 a factor of (-10)/(-25) - p/10? False Let w be (-10)/(-7) + 40/70. Suppose 581 = a + 3*p - 380, 0 = -3*a - w*p + 2911. Is a a multiple of 53? False Let j = -14 + 23. Let w(b) = -78*b + 7041. Let v be w(62). Suppose -v = -0*u - j*u. Is u a multiple of 34? False Let p(m) = 14*m**2 - 5*m + 21. Let s be p(-14). Is 31 a factor of s/18 + (4/8 - 0)? F
{ "pile_set_name": "DM Mathematics" }
**2. What is the lowest common multiple of 18 and h(21)? 18 Let l(o) = 9*o + 162. What is the smallest common multiple of l(-12) and 20? 540 Let c = -115 - -105. Let z = 34 - c. Calculate the smallest common multiple of z and 44. 44 Let b = -7177 + 172229/24. Find the common denominator of b and (-915)/(-12)*2/(-10). 24 Let s = -30701986059805/8246 + 3723258079. Let h = -10/589 + s. What is the common denominator of (-150)/(-100)*26/20 and h? 140 Suppose -21 = o - 5. Let c(v) = 2*v**2 + 29*v + 34. Let z be c(-14). What is the least common multiple of 5/z - 348/o and 22? 22 Let u = 4193/564 + -33/94. What is the common denominator of u and ((-2)/(-14))/((-60)/(-1778))? 60 Calculate the common denominator of -1*388/16 + 5 + -2 and 19/40. 40 Let f = -931 - -941. Let z = 34 - -56. What is the least common multiple of f and z? 90 Suppose 0*t = 4*t - 2*a + 52, 5*a = -5*t - 95. Let d(f) = -72*f - 10. Let l be d(t). Calculate the common denominator of ((-1)/(-60))/(8/l) and -133/6. 48 Let x = 8780/9 - 69985/72. Calculate the common denominator of x and (4 + -2)*(-17)/(-18). 72 Let d = -1/1601 + 27255/60838. Calculate the common denominator of 93/4 and d. 76 Calculate the common denominator of 230/13248*(-58)/10 and -97/48. 288 Let g be 13/(-780)*(-228070)/552. Let m = g - -1/368. What is the common denominator of m and -41/5? 45 Suppose 4*m + 20 = -2*k, k + 0*k - 2*m = 10. Suppose -5*x + 5 = -k. Calculate the common denominator of -31/36 and ((-55)/66)/(x/(-23)). 36 Suppose -4*v - 3*f = v - 129, 60 = 3*v - 4*f. Let s = 25 - v. Find the common denominator of -7/6 and (-4)/(-40)*-59 - s. 30 Let x be (-4)/(-14) + 2 + 643791/(-76272). Let q = x - -21/227. Let f = -595/496 - -12/31. Calculate the common denominator of f and q. 16 Suppose -8*n + 10*n = 116. Suppose -n*b = -61*b + 138. What is the least common multiple of 18 and b? 414 Suppose 2*b - 6*b - 9 = -3*o, 12 = 3*o - 5*b. Let m be (5 - 7) + 47*o. Calculate the smallest common multiple of 4 and ((-3)/1)/(21/m). 28 Suppose 0 = 4*c - 5*n - 267, -3*n = 11*c - 13*c + 133. Calculate the lowest common multiple of 4 and c. 68 Let d(k) = -3*k + 27. Calculate the least common multiple of d(5) and (6/4)/((-3)/(-8)). 12 Let s = 227 - 674/3. Let v be 3178/24 + (-2)/(-6). Let w = -130 + v. What is the common denominator of s and w? 12 What is the lowest common multiple of 49 and ((-4)/10)/((-39)/2730)? 196 Let h = -5233/5593 - -42/47. Find the common denominator of 8/187 and h. 1309 Let l = -26 + 50. Suppose 0 = -23*a + l*a - 24. Calculate the least common multiple of a and 9. 72 Let c be 22/1*(-2)/(-4). Let j(p) = p**3 + 3*p**2 - 11*p + 15. Let o be j(c). Calculate the common denominator of -97/22 and o/240 - 4/(-5). 132 Let g = -497308 + 17904343/36. Let r = -135/4 + g. What is the common denominator of ((-4)/(-6))/((-580)/957) and r? 90 Let z be (-24)/(-21) - (-1)/(-7). Let p be z + 180019/35412 - -4. Let k = 2/8853 - p. What is the common denominator of -83/2 and k? 12 Let l = 468 - 328. What is the lowest common multiple of l and 90? 1260 Let o(h) = 52*h**3 + 2*h**2 + 6*h - 7. Let v be o(3). Let q = -5761/4 + v. What is the common denominator of q and 19/6? 12 Let t = 598 + -581. What is the least common multiple of 9 and t? 153 Suppose 54*p - 76*p = -1936. What is the smallest common multiple of 198 and p? 792 What is the common denominator of (3/(-9))/((-84)/156) and (36/9)/(6/(-11))? 21 Suppose -5*p + 438 = 2*h - 324, 5*p - 782 = 3*h. Calculate the lowest common multiple of p/30 - (-3 - (-47)/15) and 6. 30 Suppose -27*k + 305 = -235. What is the lowest common multiple of k and 6208? 31040 Let q = 655/3 + -52403/240. Find the common denominator of 7/25 and q. 400 Let t be ((-15)/6)/(((-1)/(-10))/(-1)). Suppose 0 = -3*x - 0*g - 2*g + t, 2*x + 4*g = 14. Calculate the smallest common multiple of x and 30. 90 Suppose 0 = -3*l - 3*i + 24, -2*i + 15 = 3*l - 4. Suppose 4*j - l = 9. Suppose -b + o = -o + 3, o = 5*b - 21. Calculate the smallest common multiple of b and j. 15 Let o(a) = 2*a + 8. Let l be o(-6). Let t = l - -8. What is the least common multiple of 14 and 2 + -1 + 84/t? 154 Let x = -895/234 - 1/117. Find the common denominator of x and -77/278. 834 Let r = -5049 + 121127/24. What is the common denominator of r and -91/116? 696 Let y be (-6)/(-2) + (-6)/6. Suppose -j = y*j - 27. What is the common denominator of ((-24)/j - -1)/(-3) and -22/3? 9 Let c = -23 + 27. Suppose 2*y = c*y - 4. Calculate the least common multiple of y and 4. 4 Let h(z) = -5*z**2 - 28*z + 9. Calculate the smallest common multiple of h(-5) and 33. 264 What is the common denominator of 2/(0 + (-5)/(-15)) and ((-21)/(-18) + -2)*-11? 6 Suppose -5*m - 5*b = -470, -191 - 90 = -3*m - 4*b. What is the common denominator of -47/10 and ((-1*m)/(0 - -2))/1? 10 Let d = -116 - -243. What is the lowest common multiple of 1 and d? 127 Suppose 0*u - 12 = -4*u. Suppose -11 = -u*d + 4. Suppose 0*a = 2*a - 5*b - 35, 0 = d*a - 5*b - 50. Calculate the least common multiple of 10 and a. 10 Let q = 2 + 0. Suppose -q*f - 5 = -29. What is the smallest common multiple of 2 and f? 12 What is the common denominator of 127/70 and 6/360*-307 - -8? 420 Let h = 1036 - 16519/16. Suppose 5 = -4*t + 5*j - 15, 0 = -5*t + j - 25. Calculate the common denominator of h and (-91)/10 + 5 + t. 80 Suppose -98 = 2*v - 3*g, -4*v + 3*v - 3*g = 49. Let d = v - -71. Calculate the lowest common multiple of 10 and d. 110 Let m(p) = -7*p + 9. Let w(n) = -4*n + 4. Let h(a) = 3*m(a) - 5*w(a). What is the least common multiple of h(-11) and 8? 72 Suppose -8*r + 5 = -3*r. Let p = 9 + r. Suppose -5*n + 31 = 11, -4*h + 4 = -3*n. Calculate the smallest common multiple of p and h. 20 Suppose 0 = 55*b - 62*b + 490. Calculate the smallest common multiple of b and 70. 70 Let u = 27832 - 1642040/59. Calculate the common denominator of -97/2 and u. 118 Suppose -4*m = 5*o + 26, 3*o + 2*o = 5*m + 55. Let w(r) = r**3 + 10*r**2 + 5*r - 22. Calculate the least common multiple of 6 and w(m). 42 Suppose 18*u - 103 = 17*u. Let y = u - 93. Suppose -4*o = -t + 6, 3*t - 2*o - 22 + 4 = 0. What is the lowest common multiple of y and t? 30 Let w = -665/6 + 116. Calculate the common denominator of w and 37/132. 132 Suppose 2*t + 2*t = 108. Let q = -18 + t. Suppose q*k - 90 = 4*k. Calculate the smallest common multiple of 8 and k. 72 Let t = 46 + -821/18. Let f = -7 + 19. What is the common denominator of t and (-402)/f*1/10? 180 Suppose 3*y = z + 848, -3392 = -2*z + 6*z - 5*y. Calculate the common denominator of 126/8 - (4 + -2) and ((-1)/(-8))/((-2)/z*4). 4 Suppose 10 = -7*v + 3. Calculate the least common multiple of 3 and 29 - (v - 0/(-3 - -6)). 30 Let n = 13724/7 + -6779481/3458. What is the common denominator of n and -125/114? 1482 Suppose 3*x + 0*q - 2*q - 5 = 0, 0 = -4*x - 4*q + 20. Calculate the common denominator of 73/(-30)*-3 + -2 and -4 - ((-146)/(-12) + x). 30 Calculate the smallest common multiple of 22 and (325/(-91) - -5)/(1/21). 330 Let s = 241445/128634 - -7/3898. Find the common denominator of 26/393 and s. 4323 Let a = 79/67 - 8083/4355. Find the common denominator of -61/65 and a. 65 Let f = -70/67 + 7485/1072. What is the common denominator of 99/4 and f? 16 Suppose -62*d + 66*d - 49 = 3*g, -3*d - g = -14. Suppose 3*c - 30 + 0 = 0. What is the least common multiple of d and c? 70 Calculate the lowest common multiple of 4386/54 + (-4)/18*1 and 18. 162 Let n be (-464)/(-1385) - (-16)/(-40). Let s = n - -998/32409. Let f = 8065/234 - s. Find the common denominator of 16 and f. 2 Let u be (3 + 1 + -3)*7. Suppose 8*g + 4 = u*g. What is the common denominator of ((-25)/(-30))/(g/(-22)) and 83/10? 60 Let m be 4620930/(-308) - ((-168)/49 - -3). Let p = m - -14999. Find the common denominator of p and -119/6. 66 Let d = -23 - -24. Calculate the least common multiple of d and 10. 10 What is the least common multiple of 100 and ((-18)/2)/(492/(-160) - -3)? 600 Let l = -5 - -5. Let k(p) = -p**2 - p + 8. Let d be k(l). Let q = 13 - d. What is the least common multiple of q and 5? 5 Find the common denominator of 53/30 and ((-4)/14)/((-1584)/3124). 630 Let a = -4098827 - -11558692301/2820. What is the common denominator of a and -11/6? 2820 Suppose 68*a + 12 = 70*a. Find the common denominator
{ "pile_set_name": "DM Mathematics" }
3) - 2*n + 0 + 0) to the form m + w*n + t*n**2 and give t. -15 Express (-44 + 3 + 21)*(0*g - g + 3*g) in the form o + d*g and give d. -40 Express -25*q + 8*q + 15*q - 66 as i*q + u and give i. -2 Express (-k + 3*k - 4*k)*(1 + 1 - 3) + 9*k - 6*k + 8*k + 0*k + k + 2*k in the form h + n*k and give n. 16 Express (7*k**3 + 17*k**2 - 17*k**2)*(-1 + 2 + 1)*(k + 4*k - 6*k) as v + p*k**4 + n*k**2 + t*k + f*k**3 and give p. -14 Rearrange -71 + 6*a**3 - 2*a**3 - 2*a + 73 to c*a**3 + y*a + j + d*a**2 and give y. -2 Express -z**3 - 207*z - 25 + 207*z - 2*z**3 - 2*z**2 + 2*z**2 + (0 + 2*z + 0)*(4*z**2 - 4*z**2 - z**2) in the form f*z + r*z**3 + u*z**2 + a and give a. -25 Express -118*l - 107*l + 130*l + (-1 - 5 + 5)*(0*l - l + 3*l) as h + r*l and give r. -97 Express -5*w**3 - 2 - 7*w + 5*w - 6*w + 2*w in the form j*w**3 + a*w + i + z*w**2 and give a. -6 Rearrange 10*b - 2*b**3 - 4*b**3 + b - 25*b to the form w*b**2 + r*b + q + z*b**3 and give z. -6 Express (k + 3*k - k)*((-2*k**2 - k**2 + 4*k**2)*(-3 + 4 - 2) + 0*k**2 - 2*k**2 + 4*k**2) in the form o*k + p*k**3 + x*k**2 + d and give p. 3 Express (-2*b - 3*b - 3*b)*(2 - 4 + 4) as n*b + x and give n. -16 Rearrange -6*t**2 - 39 + 39 + 3*t to the form p*t + g + d*t**2 and give d. -6 Express -5*w**2 + 3*w**4 + 3*w + 17*w**2 + 3*w**4 - 10*w**2 in the form h + n*w**4 + i*w**3 + u*w**2 + m*w and give m. 3 Rearrange (4 - 1 - 4)*(16*u**2 - 16*u**2 - 20*u**4) + 3*u**4 + 0*u + 0*u to the form o*u**4 + r*u**2 + v*u + h + b*u**3 and give o. 23 Rearrange (3 - 1 - 1)*(2*z - 4 + 4) + 2*z + 0*z - 3*z + (94 - 110*z - 94)*(0 + 3 - 5) to t*z + a and give t. 221 Express 13*w**4 - w**4 - 6*w**2 + 3 - 10*w**4 in the form f + n*w**3 + t*w + h*w**2 + b*w**4 and give f. 3 Express -15 + 17 + a + 68 + a as x + u*a and give u. 2 Rearrange 2*w**4 - 2*w**4 + 2*w**4 + 11 + 2*w + 0*w**3 - 2*w**3 to the form r*w**4 + v*w + c*w**3 + h + o*w**2 and give r. 2 Express -7 - 2*x - 41*x**2 + x + 44*x**2 + 0 in the form p + w*x**2 + m*x and give w. 3 Express -19 - 2*h - 10 - 32 as c*h + b and give c. -2 Express c - 13*c + 1 + 4*c + 7*c as w*c + m and give w. -1 Express (-271 - 14*t + 271)*(-2*t + 2*t - t) + (2 - 2 + 2*t)*(-3*t + 2*t + 0*t) + 0*t**2 + 0*t**2 - 2*t**2 in the form v + q*t + s*t**2 and give s. 10 Rearrange (5*k + k - 9*k)*(-3*k - 2 + 2)*(-3 - 1 + 1) to the form x*k + q + f*k**2 and give f. -27 Rearrange (k**3 + 2*k**3 - 5*k**3)*((-3 + 2 + 0)*(3*k - 2*k + 0*k) - 7 - 9 - 9*k + 17) to the form x*k + m*k**3 + y + a*k**4 + o*k**2 and give a. 20 Express 2*v**2 + 2*v**3 - v**3 + v**3 - 2 - 11*v**4 + 2*v as h + g*v + b*v**4 + w*v**3 + u*v**2 and give b. -11 Rearrange 33*q**2 + 0*q**3 - 5*q**3 + 3*q - 33*q**2 to k + m*q + w*q**2 + s*q**3 and give k. 0 Express 286*g + 8 - 286*g - 1 - g**2 in the form b*g + x + j*g**2 and give j. -1 Express -3*s - 19*s**2 + 6*s + 43*s**2 + 5*s**2 as t*s**2 + w + n*s and give t. 29 Rearrange (2*o + o - o)*(-71*o**2 + 42*o**2 - 5 + 31*o**2) to the form g*o**2 + h*o**3 + i*o + z and give h. 4 Rearrange -42*i + 24*i - 5*i - 38*i to the form w*i + y and give w. -61 Express h - 3 + 2 + 2*h**4 - h**4 - 5*h as f*h**4 + j*h**2 + i + s*h + x*h**3 and give f. 1 Rearrange (-2*k - 3*k + 6*k)*(0*k**3 - k**3 + 0*k**3) - 3*k**4 + 19*k**4 + 94*k**4 - 39*k**4 to the form y*k + s*k**3 + n + l*k**2 + f*k**4 and give f. 70 Rearrange -5*u**2 - 5 - 9*u**2 + 15*u**2 to w*u**2 + q + b*u and give q. -5 Rearrange (-163 + 31*a + 163)*(0 - 2 + 0 - 3 + 5 + 0 + (2 + 1 - 2)*(-1 + 1 - 2)) to q*a + c and give q. -62 Rearrange -18*v**2 + 4*v + 6*v + 4*v + 19*v**2 to the form r*v + c*v**2 + j and give c. 1 Express 2 + g**3 + 21*g - 15*g - 12*g - 1 as s*g**2 + z*g + r*g**3 + j and give z. -6 Rearrange (1 + 0 + 1)*(-2*z**2 + 0 + 0) + 3*z**2 - 3*z**2 - 12*z**2 - z**2 - z**2 + 0*z**2 + (-2 + 2*z + 2)*(-z - 3 + 3) to y*z + o + h*z**2 and give h. -20 Express 3*t**2 - 3*t**3 - 2*t**4 + 7*t - 8*t + t**2 - 2*t**2 in the form q + j*t**3 + b*t**4 + n*t + r*t**2 and give j. -3 Express (g**2 + 2 - 2)*(-7*g**2 + 18*g**2 - 10*g**2 + 13*g) as a*g**3 + u*g**2 + y*g**4 + n*g + m and give a. 13 Express -6 + 3*d - 2*d + 4 - d**4 - 2 in the form u*d**3 + s + t*d**2 + y*d + c*d**4 and give y. 1 Express (-2 + 2 - 1)*(-2*c - 4 + 4 + (0 - 3 + 2)*(5 - 5 + 6*c)) in the form x + h*c and give h. 8 Rearrange (-7 - x**3 + 7)*(3 - x - 3)*(5 + 3 + 1) to j*x**4 + c*x**3 + n*x**2 + t*x + z and give j. 9 Express -2*g**2 + 8*g**2 + g**2 in the form w*g**2 + n*g + o and give w. 7 Rearrange 1 - 1 - 2*g**2 - g**3 + 12 to f*g**3 + x*g + w*g**2 + c and give c. 12 Rearrange -4*q + q + 2*q**2 + 3*q - q**3 - 3*q to the form u*q**3 + k + n*q + l*q**2 and give n. -3 Express -z**2 + 61*z**4 + 71*z**3 + 0*z**2 + z - 59*z**4 in the form t*z**4 + h*z**2 + x + a*z**3 + u*z and give x. 0 Rearrange (-6 - t**2 - 14 - 6)*(-5 + 3 + 1) to r*t**2 + s + x*t and give s. 26 Rearrange -2*b**2 + 2*b**3 - 4 + 5 - 5 + 2*b to the form p*b + l*b**3 + t*b**2 + g and give l. 2 Rearrange 10*n + 5*n - 6*n + n**3 + 6*n to u + m*n**3 + w*n**2 + f*n and give f. 15 Rearrange 17*s**2 + 11*s**2 - 16*s**2 + 13*s**2 to the form n*s + g*s**2 + i and give i. 0 Express 3*p - 9*p - 7*p + 2*p in the form v + a*p and give a. -11 Rearrange (3*s - 8*s + s)*(0*s - 3*s + 2*s) + 0 + 0 - s**2 - 2 - s**2 + 2 to the form w*s + o*s**2 + j and give o. 2 Express 38*u - 42*u + 39*u as c + i*u and give i. 35 Rearrange (-1 - 1 + 1)*(1 + 4 - 3)*(6*t - 8*t**3 - 9385*t**2 + 9385*t**2) to the form l*t + v*t**2 + a + y*t**3 and give y. 16 Rearrange (-3 + g + 3)*(-16 + 9 + 97) to y + t*g and give t. 90 Rearrange 0 - 13*i**2 + 0 + 22*i**2 + 6*i to the form h + s*i + w*i**2 and give h. 0 Rearrange -144 + 2*v - 2*v**4 - 37*v**3 + 144 to the form t*v**2 + y*v + c + u*v**3 + f*v**4 and give y. 2 Rearrange 5*d - d**3 - 6*d + 2*d**3 to w*d + p*d**2 + b + o*d**3 and give w. -1 Rearrange 3*x**4 - 1 - 7*x**3 - x**4 + 3*x**4 to l*x**2 + p*x + t*x**4 + n*x**3 + f and give n. -7 Rearrange -6 + 4*w**2 + w**3 - 4*w**4 - 3*w**3 - 6*w**2 + 5 to u*w**4 + m*w**3 + s*w + t*w**2 + g and give u. -4 Express 11 - 14 - 124*t + 3 in the form m + z*t and give z. -124 Express -11*k - 4 - 2*k + k**2 + 7*k - 1 in the form n + j*k**2 + w*k and give n. -5 Express (15*k**2 + 150 - 150)*(2*k + 0*k + k) as r*k + l*k**2 + u*k**3 + w and give u. 45 Rearrange (-3 + 4 + 1)*(-1 - 1 + 0)*(6 + 0 - 5)*(10*t**3 + 14*t**3 + 25*t**3) to a*t + h*t**3 + m + n*t**2 and give h. -196 Express 4*s + 3*s - 6*s + (-5 - 2 - 5)*(-3*s + 6*s + 4*s - 4*s + 0*s + 5*s + (-s + 3*s + 0*s)*(1 + 0 - 3)) as l*s + h and give l. -47 Rearrange -2*c**2 - 11*c**2 - 384*c + 384*c to b + h*c**2 + s*c and give h. -13 Rearrange -3*y + 11*y**2 + 14*y**2 + 5*y + 4*y**2 to the form l*y + i*y**2 + m and give i. 29 Rearrange -3*q - 6*q - 2*q + 5*q - 2 to j + r*q and give j. -2 Rearrange 5*d**3 - 5*d**3 + 2*d**2 + 5*d + 2*d**3 - 9*d to the form n*d**2 + f*d + t + v*d**3 and give v. 2 Express -86 + 81*z + 172 - 86 as j + h*z and give h. 81 Express 153*r**4 - 47*r**4 - 3*r - 51*r**4 - 2 + 2*r**2 + 2*r**3 - 54*r**4 in the form o*r + i + x*r**4 + y*r**3 + z*r**2 and give y. 2 Express (0*o + 3*o - 5*o)*(-2*o - 12 + 9 - 17) in the form c + j*o + y*o**2 and give j. 40 Rearrange (l + 0*l + 0*l)*(-9*l + 12*l + l) + 0 + 0 + 2*l**2 to h*l + c*l**2 + a and give c. 6 Rearrange -2*v**2 + 26*v**3 - 16*v**3 + 0*v**3 to the form r*v**2 + n*v**3 + d + q*v and give n. 10 Express (3*u**2 + 12 - 12 + (2 + u - 2)*(-10*u - 3*u - 8*u))*(0 + 0 - 1) as d*u**2 + z + j*u and give d. 18 Express 1 - 15*a**3 + 15*a**2 - 9*a**3 + a - 20*a**3 - 13*a**2 in the form m*a**2 + f*a + l + r*a**3 and give m. 2 Rearrange (-6 - 4 - 4)*(-2*a - 6*a + 4*a) to the form o*a + s and give s. 0 Express -2 + 12 - 4*u**3 + 3*u**3 as z + b*u**2 + w*u**3 + v*u and give w. -1 Rearrange (2*d**2 + 4*d**2 - 4*d**2)*(-6*d + 2*d + 2*d)*(2*d + d + 2*d) to o*d**2 + a*d**4 + b*d**3 + s*d + v and give a. -20 Rearrange 60*s + 13 + 7 - 27 + 5 to the form x*s + c and give c. -2 Rearrange 11*q - q**3 + 11*q**2 - 11*q to o*q + p*q**3 + l*q**2 + x and give p. -1 Express (-1 - v**2 - 4*v**2 + 3*v**2)*(0*v - v + 2*v) in the form z*v**2 + t + m*v + d*v**3 and give t. 0 Express -25*j + j**2 + j**2 - 3*j**4 - 6*j**4 + 27*j as w*j**3 + v*j**4 + x + r*j + k*j**2 and give r. 2 Rearrange (-47*x + 47*x + 7*
{ "pile_set_name": "DM Mathematics" }
er? True Let t(g) = 3*g - 39. Let z be 82/4 - 2/4. Let o be t(z). Suppose -3805 = 16*d - o*d. Is d a prime number? True Let y(g) = 9 + 2 + 45*g + 15*g**3 - 10*g**2 - 3*g**2 - 9*g**3 - 7*g**3. Is y(-16) prime? True Suppose p - 161 = -983. Suppose 10*i - 4*q = 9*i + 1197, 5*i = -2*q + 6073. Let j = p + i. Is j a composite number? True Suppose 3*p - k + 22475 = 4446, 5*p + 2*k + 30030 = 0. Let s = 8434 + p. Is s prime? False Let n(h) = 7*h - 162. Let x be n(0). Let r = 245 - x. Is r a prime number? False Suppose -80920634 = 903*g - 985*g. Is g prime? True Is -3*(-4)/78 - (-26)/(1352/171540) a composite number? False Let r = 557 + -556. Is 4 + r + (-22770)/(-5) prime? False Is (-1169779)/(-6) - (-962)/(-5772) composite? False Let a = -38598 + 65922. Suppose 2*i = -9442 + a. Let y = i + -3986. Is y a prime number? False Let c(g) = 10*g + 10*g - 8 + 5*g - 18*g + 58*g**2. Let i(u) = 2*u**2 + 5*u + 2. Let z be i(-3). Is c(z) a composite number? True Suppose -4*r + 256883 = 3*f, 2*f = 60 - 50. Is r composite? False Let d be 2 + (0 - (4 + -6)). Let n be (-4 + (d - 142/(-6)))*12. Suppose 0*v + 2*v - 142 = b, 0 = -4*v - b + n. Is v prime? True Let f(q) = 41 + 71*q**2 + 43*q**2 - 2*q + 120*q**2 - 11*q**2. Is f(6) a prime number? False Is (-495546)/8*(-388)/291 composite? False Let c(u) be the first derivative of -393*u**2/2 + 11*u + 64. Is c(-2) a composite number? False Suppose 0 = k + 3*k, 4*u + 5*k = -8680. Let x = u - -5036. Let b = -1665 + x. Is b a prime number? True Suppose 43 = -4*t + 59. Suppose 4 = 4*h - 4, 3*h = -r + 1268. Suppose 414 = d - t*s + 5*s, 3*d - r = s. Is d a composite number? False Let u = 62 - 50. Is ((-319926)/36 - 2/u)*-1 composite? False Let b(i) = 1437*i**2 + 4*i + 5. Let y be b(-1). Let x = 3627 + y. Is x a composite number? True Let v = 11 - 6. Suppose 5*m - 4*m = 52. Suppose i - 108 = -3*o, v*i + m = -0*o + o. Is o composite? False Suppose 325269 + 332193 = 26*k. Suppose -2*o = -k - 5539. Is o composite? False Let b(n) = 70974*n - 2209. Is b(5) prime? True Let o(t) = -6*t**3 - t**2 + t + 1. Let u = 9 - 10. Let f be o(u). Suppose f*p + i + 0*i = 344, 68 = p + i. Is p prime? False Let u(o) = o**2 + 9*o + 6. Let w be u(-9). Suppose -2 - 22 = -w*n. Suppose 0 = -2*t - h + 713, -t + h + 1800 = n*t. Is t composite? False Let b be 47841/10 + 3/(-30). Let g = -8 - -11. Suppose -v - 5961 = -5*d, -7*d - 3*v = -g*d - b. Is d a composite number? False Is (1318 - (15 + 12)) + 0/(-1) composite? False Suppose -11*b - 4*w = -15*b + 127840, -159794 = -5*b + 3*w. Is b a composite number? False Suppose -5*d + 5*w = -158830, 5*d - 8*w + 4*w = 158829. Suppose 55*s + d = 60*s. Is s a prime number? True Let c(a) = 3*a**3 + 22*a**2 - 35*a - 19. Let t(j) = j**3 - j**2 + j + 1. Let h(z) = -c(z) - 5*t(z). Is h(-15) prime? True Let c be (-72)/24*(-22)/6. Suppose 13 = i - 3*b, 5*i - c - 6 = -b. Suppose -2*p + i*f = -398, p = -2*p - 3*f + 561. Is p prime? True Let b(j) be the third derivative of 169*j**4/6 - 71*j**3/6 - j**2. Is b(7) prime? False Let x(u) = 576*u**2 + 9*u + 107. Is x(-6) prime? True Let o = 753 - -89. Suppose 15*j - o = 1003. Is j prime? False Let o(p) = -10*p**3 - 20*p**2 - 195*p + 2. Is o(-7) composite? True Let r be 1/((4 + (-76)/20)*1). Suppose 5*c = m + 5, 4*c - r = 5*m - 4*m. Suppose 2*n - 402 - 684 = c. Is n composite? True Let m(p) = p**3 - 6*p**2 - 26*p + 4. Let d be m(9). Let c(f) = 9*f + 10*f - 4*f - 47 + d*f. Is c(6) a prime number? False Let m(k) be the second derivative of -72*k**5/5 + k**4/12 + k**3/6 + k**2/2 + k - 16. Suppose -3*l = l + 4. Is m(l) a composite number? True Suppose 20*l + 27 = 23*l. Suppose 3*w - l = 0, f - 1048 - 358 = -2*w. Suppose -4*s + 9924 = -4*r, -11304 = -4*s - r - f. Is s prime? True Let g(v) = -127*v + 9. Let t be g(-12). Suppose 88717 - t = 16*p. Is p a prime number? True Suppose 10*x + 234 + 1216 = 0. Is (-825514)/x*(-5)/(-2) a composite number? True Suppose 0 = 1495*g - 1472*g - 7961611. Is g a prime number? False Let q(o) = -o**3 - 88*o**2 + 545*o - 257. Is q(-111) a composite number? True Let m(r) = 14845*r - 1253. Is m(6) a composite number? True Suppose -5*u - 4*t = -6501, u - 4*t = 212 + 1069. Suppose 11*n = 13254 - u. Is n a prime number? True Suppose 0 = 20*z - 5539820 - 4836 + 872116. Is z composite? True Suppose -3*j + 25183 + 5710 = 2*d, -4*j + 30898 = 2*d. Is d prime? True Let m(j) = -j**3 - 9*j**2 + 10*j. Let r be m(-10). Suppose 25 = -z - 2*d, z + 4*d = -r*z - 31. Let s(y) = -y**3 - 16*y**2 - 4*y - 8. Is s(z) a composite number? False Suppose -3*d + 2*d = 4. Let j(q) = 228*q - 5. Let b(p) = -p + 1. Let u(x) = d*b(x) - j(x). Is u(-3) composite? False Suppose u = 5, -u + 1624756 + 645118 = 3*y. Is y a composite number? True Suppose 752138 + 947192 = 5*n. Is n a prime number? False Let z be 1 + 2/(-10)*-5 - -2. Suppose -z*i = -16, 6*i = 3*n + i - 889. Is n a composite number? True Let o = -2072 + 1072. Let g = o - -1787. Is g composite? False Suppose 15 = 4*i - 5. Suppose -3 = i*b - 18. Suppose 0 = 5*r - 4*m - 331, -b*r + r + 139 = 5*m. Is r a prime number? True Let n = -23 + 26. Let i(z) = -n*z**3 - 8*z + 10 + 12 + 4*z**3 - 16*z**2 - 9. Is i(18) a prime number? False Let x(q) = 2*q**3 + q**2 - q. Let z(g) = -14*g**3 - 5*g**2 - 9*g - 1. Let h(p) = 6*x(p) + z(p). Is h(-6) composite? False Let c(b) = 209*b - 115. Let t be c(11). Suppose -8*p + 5488 = -t. Is p composite? True Let b(t) = -12126*t - 3269. Is b(-25) a composite number? False Suppose 0 = -3*q + 2*q - j - 7638, q + 4*j = -7638. Is (-1 - q) + (-5)/(-1) prime? False Let s = -109 + 117. Is 3/(-2) + (596/s - -4) composite? True Is (-1 - (-5)/20)/((-2)/(1683488/12)) a composite number? False Let b(z) = -8*z**3 + 3*z**3 - 27*z**2 + 5*z**3 + 6*z**2 + 63*z - z**3 + 29. Is b(-32) composite? False Suppose 21*i + 3 = 18*i. Is (-4 - 13/(-4))*388*i prime? False Let l(j) = -1607*j + 1491. Is l(-22) a prime number? False Let o = -64829 - -102049. Is 5/10*o - 12/4 a prime number? False Let x(y) = 71*y**3 + 41*y**2 - 245*y - 36. Is x(7) a prime number? True Suppose -d = -4 + 1. Let x(n) = n**3 + 31*n**2 + 83. Let o be x(-30). Suppose 8 = 2*q, d*a - o = q - 0*q. Is a a composite number? True Suppose -9 = 3*i, 2*f + 5*i + 20 - 87 = 0. Let u = f + -41. Suppose 4*z - 12*z + 4984 = u. Is z a prime number? False Let v(r) = 51*r - 4. Let d be v(3). Let y = 28 - d. Let j = y - -414. Is j prime? True Let x(c) = 5*c - 35. Let q be x(8). Is (-8)/6*q/((-60)/34011) a composite number? False Let b = -213448 - -331428. Suppose b = 7*k + 38523. Is k prime? True Let w = -975 + 1874. Is w composite? True Suppose -5*y = 4*t - 9 - 13, 5*t = -2*y + 19. Suppose 0*k - t = -4*l - k, -2*k = l + 8. Is ((-3)/l)/(6/(-2972) + 0) composite? False Let m = -130 - -2015. Suppose -m - 506 = -3*v. Suppose 6*z = 5*z + v. Is z a composite number? False Let w = 5448 + -3684. Let z = w + -781. Is z a composite number? False Let z(u) = 31134*u + 19. Is z(2) prime? False Let b = 55432 + -34955. Is b a prime number? True Suppose -5*h = 3*r - 17728, 2*r - 3*h = 4855 + 6970. Is r a composite number? True Is (-97)/582 - -222235*(-2)/(-12) a composite number? False Let x(r) = -13*r**2 - 3*r - 13. Suppose -k = -2*y + 14, 5*k - 4*y + 22 = -36. Let m be x(k). Let a = m - -1804. Is a composite? False Let g(a) = 48*a**2 - 57*a + 70. Is g(-13) a prime number? True Suppose 2*a = -2, 86818 = 2*p - p - 5*a. Is p a prime number? True Suppose 5*c = -36 + 21. Let m = c - -3. Suppose 2*l - 145 = -j, m*l + 2*l - 2 = 0. Is j a composite number? True Let j(g) be the third derivative of 55*g**4/12 - 131*g**3/6 - 10*g**2 + 2*g. Is j(12) prime? False Let f(i) = 34*i**2 + 15*i + 30. Let p be f(-12). Suppose -6*t + p = -2712. Is t prime? False Let y = -121540 + 8230. Is y/(-24) + ((-15)/(-12))/(-5) composite? False Suppose -4*w = 3*d - 5*d - 10, 14 = 5*w - d. Suppose v + 4*k - 7*k - 867 = 0, -w*k = -3*v + 2625. Is v a prime number? False Suppose 5*y = -3*g + 19, 0 = 10*g - 13*g - 2*y + 13. Suppose -g*c - 4*n = -10982, 0 = -3*c - 2*n - 0*n + 10984. Is c a prime number? False Suppose -21*i = -4*i + 378420. Let v = 33263 + i. Is v a prime number? True Suppose 34*n + 606286785 = 612*n + 2702771. Is n a composite number? True Let y(u) = 13*u**2 - 34*u - 2. Let k be -1 - -13 - (97 - 94). Is y(k) a composite n
{ "pile_set_name": "DM Mathematics" }
-3*r + 5 + x*r**2 - 5*r**2 - 2*r. Let s be -1 + 3/((-9)/12). What is m(s)? 5 Let b(y) = 3*y**2 - 10*y - 11. Let j be b(9). Let u = j - 97. Let d be 5/(u/(-12))*3. Let w(c) = 2*c + 3. Give w(d). -5 Let i(x) be the second derivative of x + 0 + 1/20*x**5 - 1/2*x**3 + 1/4*x**4 - x**2. What is i(-4)? -6 Let j be 6/9*-3 + 4. Let k = j + 0. Let w(l) = 2*l**2 + 3*l - 3*l**k - 3*l - l**3. Calculate w(-2). 4 Let j(n) = 9*n**2 + 2 + 2 - 2. Let u(f) = -10*f**2 - 3. Let h(k) = 4*j(k) + 3*u(k). Suppose 0 = -2*w - 5*o - 26 + 3, 4*w = -2*o - 6. What is h(w)? 5 Let g(l) = 3*l + 4. Let x = 2 - 5. Give g(x). -5 Let w(t) = 5*t**3 - 8*t**2 - 11*t + 1. Let m(g) = g**3 - g**2 - g. Let f(q) = 4*m(q) - w(q). Determine f(5). 9 Let r(l) = -l**2 - 3*l + 7. Let f = -5 + 0. Calculate r(f). -3 Let r(z) = -z**3 + z**2 - z - 4. Let p(x) = x**2 + 8*x - 1. Let j be p(-9). Let b be j/(-20) - 4/(-10). Give r(b). -4 Let q(f) = -f**3 + 4*f**2 + 7*f - 5. Let j(u) = -u**3 - 20*u**2 - u - 15. Let y be j(-20). Give q(y). 5 Let t be 63/(-12) + (-3)/(-12). Let o(s) = -s**2 - 7*s + 1. What is o(t)? 11 Suppose -2*c + 3 = -q - 4, 0 = -2*c + 3*q + 1. Let u = -9 + c. Let d(g) = g. What is d(u)? -4 Let w(l) = l - 1. Let c(h) = -7*h - 3. Let q(n) = -c(n) - 6*w(n). Calculate q(-6). 3 Let a(m) = -5*m + 14. Let v(u) = 9*u - 26. Let b(d) = -7*a(d) - 4*v(d). Calculate b(0). 6 Let t(g) = -7*g. Let m be 65/(-9) - (-10)/45. Let u = m - -8. What is t(u)? -7 Let f(k) = -k**3 + 5*k**2 - 4*k + 5. Let z = 146 + -141. Give f(z). -15 Suppose -5*i - 3*a = -9 + 3, 5*a = -5*i + 10. Let j be i + (-6*2)/2. Let w(r) = r + 5. Determine w(j). -1 Let h(g) = g**3 - g**2. Let m(n) = 4*n**3 - 7*n**2 - 2. Let o(y) = -3*h(y) + m(y). Let j(a) = 6*a - 2. Let z be j(1). Let k be -2 + z - (1 + -3). Give o(k). -2 Let o(h) = -3*h + 4. Let t(y) = 12*y - 15. Let r(i) = 9*o(i) + 2*t(i). Let k(u) = u**2 - 4*u + 4. Let c = 10 + -6. Let p be k(c). Give r(p). -6 Let v(z) be the first derivative of z**3/3 - z**2/2 - 4*z + 49. Give v(0). -4 Let k(u) = 0*u + u - 3 + 4 - u**2. Let q(m) = -5*m**2 + 5*m + 6. Let d(j) = -4*k(j) + q(j). Let r be ((-3)/2)/(2/(-4)). Give d(r). -4 Let q(s) = s**2 - 7*s + 3. Suppose z - 3*k - 4 = 1, -4*z - 20 = -4*k. Let w(v) = v + 16. Let c be w(z). Give q(c). -3 Let s(k) = -k + 5*k - 3*k. Let b(h) = h**3 + 4*h**2 - 7. Let y be b(-5). Let g be (y/(-6))/4*-3. What is s(g)? -4 Let n(l) = -l**2 + 2*l + 3. Suppose -4 = f - 8. Let q be n(f). Let m(g) be the first derivative of -g**3/3 - 2*g**2 + 3*g - 1. Determine m(q). -2 Let z(n) = -6 - 3 + 10 + 2*n. Calculate z(-4). -7 Suppose -3*j = -6*j + 9. Suppose j*y + 0 = -12. Let p(l) = l**3 + 4*l**2 - l. Determine p(y). 4 Let l(z) = 11*z + 1 - 2 + 2*z. Determine l(-1). -14 Let g(y) = y**3 + 8*y**2 + 4*y. Let n(l) = -l**3 - 8*l**2 - 5*l + 1. Let v(c) = -2*g(c) - 3*n(c). What is v(-7)? -3 Suppose -2 = -g - 5. Let m(p) = p**2 + 4*p + 1. Let r be m(g). Let t(w) = -w**2 - w**3 - 1 - 2*w**2 - 3*w + 0. Give t(r). 1 Let f(a) = a**3 + 4*a**2 - 5*a - 5. Let c(t) be the first derivative of t**4 + 11*t**3/3 - 15*t**2/2 - 16*t + 4. Let m(q) = 2*c(q) - 7*f(q). Calculate m(4). -9 Let s(q) = -q**3 - 6*q**2 - 5*q - 1. Let j(i) = -i**2 - 5 + 4 - 2 - 2. Let k be j(0). Determine s(k). -1 Let d be 1 + 3/(9/15). Let x(o) = -o**3 + 5*o**2 + 5*o + 8. Give x(d). 2 Let p(w) = -9*w - 2. Suppose 0 = -4*n + 33 - 41. Calculate p(n). 16 Let p(w) = -5*w + 1. Let r = -23 - -28. What is p(r)? -24 Let o be (-45)/(-3) + 0 - -1. Let u = -13 + o. Let v(x) = -2*x**2 + 5*x - 4. Calculate v(u). -7 Suppose 0 = -3*s + 6 - 0. Let o(x) = x**2 + 3*x - 5. Let m(t) = -2*t**2 - 5*t + 9. Let d(j) = s*m(j) + 5*o(j). Determine d(-7). 7 Let a(w) = w**3 - w**2 - 5*w + 2. Let t be a(3). Let f(j) = j**3 - 6*j**2 + j + 5. Let r(y) = -y + 1. Let c(v) = f(v) - 2*r(v). Calculate c(t). -7 Let i(w) = w**2 + 7*w + 3. Let h be (-2)/5 - (-594)/10. Let t = -29 + h. Suppose 0*j + t = -5*j. What is i(j)? -3 Let u(i) = 3*i**3 + 11*i**2 + 8*i + 3. Let q(l) = 4 + 17*l**2 + 8*l + 3 + 5*l**3 - 2 + 4*l. Let z(w) = -5*q(w) + 8*u(w). What is z(4)? -1 Let v(a) = -2*a**2 + 12*a - 2. Let q be v(6). Let g(y) = -2*y**2 - 4*y - 3. Give g(q). -3 Suppose 0 = -3*y - 2 + 14. Let l(m) = m - 4 + m**3 - y + m**2 + 2. Suppose 4*z = 5*n + 2 + 18, 15 = -4*n + 3*z. Determine l(n). -6 Let y(v) be the third derivative of v**5/60 + v**4/4 + 7*v**3/6 - 2*v**2. Suppose -h + 2*f - 16 = 0, f = -4*h - 4*f + 1. Give y(h). 7 Suppose 41 = -12*s - 31. Let k(b) = b**3 + 6*b**2 - 3*b - 9. What is k(s)? 9 Let h be 5 + 2/(0 - 1). Let z(c) = -c - 1. Let j(r) = -5*r + 2. Let v(o) = j(o) - z(o). What is v(h)? -9 Let g(k) = -3*k - 4*k + k**2 + 3*k. Let v be (3 + -2 + -3)*(-26)/13. Give g(v). 0 Suppose 0 = -j + 2*k - 13, -6*k - 11 = 3*j - 5*k. Let t(s) = s + 10. Calculate t(j). 5 Let o(g) = g**3 + g + 5. Let d be o(0). Suppose 3*r + 13 = d*c, -c = r + 3 - 4. Let t(f) = 0*f + 3*f - f**c + 2 + 2*f. Calculate t(5). 2 Let r(t) = -4*t**3 - t**2 - 3*t - 1. Let p(v) = 11*v**3 + 2*v**2 + 8*v + 2. Let u(w) = 3*p(w) + 8*r(w). Calculate u(3). 7 Suppose -3*u - 15 = 0, 0 = -5*m + m - 2*u + 10. Let k(z) = z**3 - 6*z**2 + 7*z - 7. Calculate k(m). 3 Let u = 21 + -26. Let h(w) = -w - 2. What is h(u)? 3 Let b(v) = v**2 - 5*v - 3. Let x be (-4)/(-34) - 132/(-34). Suppose -2*k + 2 = l - 11, 5*l - 25 = 0. Suppose -11 = c - 3*u, -x*c - 4 = -k*u - 0. Determine b(c). -7 Let b(x) be the first derivative of -x**2/2 - 3*x + 1. Let l(u) = 6*u + 16. Suppose -2*f = -3*n, 4*n + f - 4*f = -1. Let o(p) = n*l(p) + 11*b(p). What is o(2)? 1 Suppose 14 = -4*j - 6. Let h(d) be the third derivative of 1/6*d**4 + 1/60*d**5 + d**2 + 0*d + 0 - 1/6*d**3. What is h(j)? 4 Let u be (-1)/3 - 26/(-6). Let a(w) = -u - 1 + w**2 + 8. Determine a(0). 3 Let p(r) = -1 - r**2 - 5*r - 2 + r. Let n(z) = -z**2 + 2*z - 2. Let q be n(2). Let t = q - 1. Give p(t). 0 Let i = 15 - 14. Let y(h) = 5*h - 1. Determine y(i). 4 Let k(u) be the first derivative of -u**4/2 - u - 1. Let j(c) = -c**3 + 2*c**2 - c + 1. Let g be j(2). Calculate k(g). 1 Let w(k) = 2*k**2 + 4*k + 3. Let t(c) = c - 2. Let y be t(0). Let o be w(y). Let q(z) = -z**3 + 3*z**2 - z - 4. What is q(o)? -7 Let v(j) = -j**2 + 49 - 5*j - 47 + 2*j**2. Determine v(5). 2 Let p(q) = -q**3 + 9*q**2 - 6*q + 18. Let r(f) = f - 1. Let o(s) = p(s) + 5*r(s). What is o(9)? 4 Let v(a) = -a**3 + 3*a**2 + 4*a - 3. Suppose -2*y + 3*y = 18. Let z = -15 + y. What is v(z)? 9 Let z = 5 + -2. Let a(t) = 6*t**3 - 8*t**2 + 4*t + 1. Let q(v) = 7*v**3 - 9*v**2 + 5*v + 1. Let d(k) = 6*a(k) - 5*q(k). Give d(z). -2 Let a(r) = 9*r**3 + 3*r**3 + 6*r**2 - 4 + 3*r + 13*r**3 - 24*r**3. Let x = 2 + -7. What is a(x)? 6 Let a(n) = -n**3 + 4*n**2 - 3*n. Let t be 12/28 + (-36)/(-14) + -1. What is a(t)? 2 Let k(l) = -l**2 - 1. Let j(u) = u**2 - 2*u + 6. Let z(s) = -j(s) - 4*k(s). Calculate z(-2). 6 Suppose 5*x = -k - 0*k + 24, 5*x = 3*k + 8. Let p be x + (-5 - (-4 + 2)). Let b(y) = -11*y + 1. What is b(p)? -10 Suppose -4*b + 38 = 6. Suppose -2 = 2*u + 2*h, -3*h - b = -u + 3. Let t(c) = -1 - 2*c - 3 + 6. Calculate t(u). -2 Suppose 5*i + 5*d - 25 = -0*i, -3*i = -5*d - 7. Let x(b) = -4*b + 0 + i*b - 1 + b**2 - 4*b. Determine x(3). -4 Let n(a) = -a**3 + 3*a**2 + 3*a - 2. Let q be 3 - (3 + (-6 - -2)). Give n(q). -6 Let f(h) = -h**2 + 2. Suppose 20 = 3*o - 4. Let p(w) = w - 6. Let d be p(o). What is f(d)? -2 Let j(v) = -2*v - 7. Let l(d) = 2*d + 8. Let o(b) = 4*j(b) + 3*l(b). Determine o(-4). 4 Let o = 48 - 52. Let x(m) = -m**3 - 3*m**2 - 2*m - 4. Let v be x(-3). Let q(d) = 1 + 4*d**v - 2*d + 3*d + d**3 + 0*d. Give q(o). -3 Let f(a) = 10*a**3 + a**2 - 2*a + 1. Let s = 10 - 7. Suppose -s*l + 0*l - 5*z - 2 = 0, -5*l = 5*z. What is f(l)? 10 Let l(d) = -d**3 + 5*d**2 + 3. Let t be l(5). Let v(y) = 2 + 2 - 2 + 6*y - t - y**2. Give v(7). -8 Let p(k) = -k - 6 + 2 - 2*k + 2*k. Calculate p(-5). 1 Let f(x) = x**2 + 5*x + 4. Let l(a) = 2*a**2 + 10*a + 8. Let o(u) = -5*f(u) + 2*l(u). What is o(-3)? 2 Let z = 6 - 4. Let k(x) = -x**2 + 0*x**z - 4 + 4*x**2 - 2*x - 2*x**2. Let o(i) = i**2 - 2*i - 4. Let r be o(4). Calculate k(r). 4 Suppose z - 11 = 2*j, 3*j = 6*j + 4*z. Let v(l) = l**2 + 5*l + 1. Calculate v(j). -3 Let d(k) be the second derivative of -k**4/6 + k**3/2 + 3*k**2/2 - 2*k. Calculate d(3). -6 Suppose -q = -4*q + 6. Suppose 3*o -
{ "pile_set_name": "DM Mathematics" }
3 (c) t b Let j = 0.1 - 0.6. Let s be (-10)/(-6) - (6 + -4). Which is the third biggest value? (a) -2/5 (b) s (c) j c Let f = 52 + -48. What is the second biggest value in f, -1, -7? -1 Let p = -4 - -4.4. Let a = -0.09 + 0.59. Let d = 0.4 + -0.3. What is the second smallest value in d, p, a? p Let p = -0.15 + -5.85. Let l = 5.9 + p. What is the biggest value in l, -0.6, 0.1? 0.1 Let x = 0.06 + 6.14. Let h = 6 - x. Which is the smallest value? (a) -2/3 (b) h (c) -0.5 a Let n = -0.17 + 0.37. Which is the second smallest value? (a) 1/7 (b) -0.2 (c) n a Suppose -4*j = -h - 1, -3 = -4*h - 4*j + 13. Let k = -1 + -0.5. Let w = k - -2. Which is the smallest value? (a) h (b) w (c) -3 c Let g be (3/27)/((-6)/(-36)). Let t = 0.9 - 5.9. Which is the second smallest value? (a) g (b) t (c) -0.2 c Suppose 0 = 2*f - 3 - 5. Suppose -2*s = 1 - 5. What is the second smallest value in s, -3, f? s Let g = 17.8 + -18. Let t be (-8)/6*15/50. Let j = 214/3 - 72. What is the third smallest value in j, t, g? g Let w = 0.1 + -0.07. Which is the third smallest value? (a) 2 (b) w (c) 4 c Let a = 0.25 + -0.05. What is the biggest value in 2, 4/9, 0.11, a? 2 Let j = -0.3 - -0.4. Let c = 0.3 - j. Let a(w) = -w**3 - 6*w**2 + 8*w + 10. Let r be a(-7). What is the second smallest value in r, 5, c? r Let g = 9 - 5. Let r = 0.234 - -0.066. Which is the biggest value? (a) -0.2 (b) g (c) r b Let r be 54/(-15) - 10/25. Which is the smallest value? (a) r (b) 2/9 (c) 0.1 a Suppose 0 - 25 = -5*k. Let h = 7 - k. Let w = -4.09 + 0.09. What is the biggest value in 2/7, h, w? h Let s = -0.33 + 0.63. What is the fourth smallest value in s, 1/7, 2/7, -0.1? s Let j = 7 - 7.4. Let m = j + 0.1. Which is the third smallest value? (a) 4 (b) m (c) -0.1 a Let g = -15 - -16. What is the fourth biggest value in -1/5, -5, 5, g? -5 Let n = -6.9 - -0.9. Let l = n + 6.4. What is the third biggest value in l, -1, -2/11? -1 Let j = -4/105 - 26/105. Which is the third biggest value? (a) -3 (b) j (c) -1/4 a Let o = -0.3 - -0.3. Let z be (-4)/(-1)*8/4. Let v be (z/(-36))/((-14)/(-6)). What is the second biggest value in o, 5, v? o Let f = 56 - 58. Which is the third smallest value? (a) 2 (b) f (c) 3 c Let k = -0.48 + -2.52. Let g = 0.3 + -1.3. Let i = g + k. Which is the second biggest value? (a) i (b) -1/4 (c) -1 c Let g = -1.7 + 1.9. What is the biggest value in g, -0.4, -1/12? g Let g(q) = -q**2 + 6*q + 6. Let s be 114/15 - (-3)/(-5). Let w be g(s). Which is the third biggest value? (a) w (b) -5 (c) -4 b Let c(k) = 29*k + 1. Let m be c(-1). Let s = -83/3 - m. What is the second biggest value in s, 0.5, -5? s Suppose -14 = -2*r - 4*x + 2, -4*r - x = -4. What is the third smallest value in -15, r, -4? r Let u = 0.3 - 0.4. Let b = 5 - 5.1. Let p = b - -0.6. What is the second smallest value in p, 2, u? p Let k be 2*((-38)/(-12) + -4). Which is the second smallest value? (a) -1 (b) -2/5 (c) -0.06 (d) k a Let w = -19 + 56/3. Which is the third biggest value? (a) -0.4 (b) w (c) -5 c Let j(i) = -i + 10. Let l be j(7). Let u be 3054/22 - 4/(-22). Let t = u - 693/5. What is the third smallest value in 2, t, l? l Let w be (4/9)/((-10)/15). What is the second smallest value in w, -0.01, 2/13? -0.01 Let s = -20 - -53. Suppose -8 + s = 5*q. Let i = 7.4 + -7.7. What is the third biggest value in q, 1/11, i? i Let d be (512/(-60))/8 + 1. Which is the biggest value? (a) -4 (b) 3/4 (c) d b Let p(j) = 4*j**3 + 2*j**2 - 1. Let s be p(-1). Let d be (2/s)/(10/(-15)). Let w = 0.2 - -0.3. Which is the third smallest value? (a) w (b) d (c) -1 b Let g(d) = 5*d - 5. Let m be g(2). Suppose -5*r + 2*y + 2 - 10 = 0, 20 = 4*r + m*y. Which is the third biggest value? (a) -4 (b) r (c) -3/4 a Let n = -2 - -2.5. Let y be (-470)/(-15)*(-6)/(-4). Let z = 326/7 - y. What is the biggest value in n, -0.4, z? n Let i be 3/((-15)/2)*(-2)/4. What is the fourth biggest value in 2, i, -2/11, -3? -3 Let i be (0/2)/(4/(-2)). Let z be (20/(-70) - 53/35) + 2. Which is the second smallest value? (a) 4/7 (b) i (c) z c Let m = 2.7 + -3. Let o = 1.66 + -1.56. Let q = -96/7 + 94/7. Which is the second smallest value? (a) q (b) m (c) o a Let j = 5.3 + -5. What is the third biggest value in j, -9, 0.4? -9 Let d = 0.3 - -5.7. Let x = 7 - d. Which is the third smallest value? (a) 0 (b) -1/2 (c) x c Let k be (8/14)/(4/14). Suppose 0*m - k*i = m - 8, -5 = -i. What is the smallest value in 2, m, 3? m Let w be (3/(-3))/(2/4). Which is the second biggest value? (a) -1 (b) 3/5 (c) w (d) 14 b Let x be ((-107)/(-27))/(2/(-60)). Let h = x - -119. Which is the smallest value? (a) 2 (b) h (c) -0.3 c Let i = 0 - 0.3. Let w = -0.02 - 3.98. Let l = w + 2. Which is the smallest value? (a) i (b) l (c) 0.4 b Let k = -1.09 - -0.09. Let l = 50 + 7. Let h = 286/5 - l. Which is the smallest value? (a) -2/7 (b) k (c) h b Suppose 2 = r + r. What is the third biggest value in 6, -3, r? -3 Suppose 3*q - 5*n = -q - 18, -q = 3*n - 4. Which is the biggest value? (a) -2/9 (b) 0.4 (c) q b Let z = -1.2 - -1.2. Let p = 0.1 - -0.4. Let u = -0.04 + 0.44. What is the second smallest value in z, u, p? u Let d = 0.23 + -0.23. Which is the smallest value? (a) -1/4 (b) -3 (c) d b Let i be (-19 + 22)*((-5)/4 + 1). Which is the third smallest value? (a) 0 (b) -1/5 (c) i a Let a be 5/15*-9 + 6. Let v = -0.25 + -0.05. What is the biggest value in v, 0, a? a Let o(d) = d - 1. Let s be 4/2 + 0 + -5. Let z be o(s). Which is the second smallest value? (a) 2/13 (b) -2 (c) z b Let p = 6.35 - 6.45. Let b = 4.3 + -4. What is the second biggest value in -5, b, p? p Let j be (-8)/(-3) + (-1)/(-3). Let g be j*2/15*5. Let h be 1*0/1 - g. Which is the third smallest value? (a) -1 (b) 0.4 (c) h b Let w be (-31)/15 + (-10)/(-25). What is the third biggest value in -1, 5, -4, w? w Suppose -3*u + 3*w - 6 = 2*w, 5*u + 3*w = -24. Let x = 49 - 49.3. Which is the biggest value? (a) u (b) 4 (c) x b Let v be 4/(-35) - 4/14. Let p = 2 + -4. Let l = p + 7. Which is the smallest value? (a) l (b) v (c) 0.4 b Let y = -0.7 - -0.7. Let j = -17 + 15. What is the biggest value in y, j, -5? y Let w be (-252)/(-245) + (-6)/10. Which is the third biggest value? (a) 1/6 (b) w (c) 5 a Let h = 6.9 + -6. Let z = 2 - 0.6. Let r = h - z. Which is the third smallest value? (a) -1 (b) 0.4 (c) r b Let p = 3.2 + -2.9. Which is the third smallest value? (a) p (b) -0.4 (c) 1/5 a Let z = -59 + 35. Which is the second biggest value? (a) z (b) 2/7 (c) 3/2 b Let x = 0.5 + -4.5. Let z = -2 - x. Let y = z - 4. What is the second smallest value in y, 1, 3? 1 Let d = -0.04 - -0.44. Let w be 4/(-5)*(-2)/8. Let r = -30 + 57/2. Which is the second biggest value? (a) d (b) w (c) r b Let p = -13 - -13.1. Let x be 10/25*(-10)/(-8). Which is the biggest value? (a) x (b) -1 (c) p a Let v = 188/3 + -62. Which is the second biggest value? (a) -0.5 (b) v (c) -2/29 c Let a = -13.6 + 14. Let h = -160/231 + 2/77. What is the biggest value in 2/11, h, a? a Suppose -2*u + u + 4 = 0, 5*o + 2*u - 3 = 0. Let s = -0.17 + 0.57. What is the third biggest value in s, 5, o? o Let t = 0.2 - 1.2. Let u = 0.5 - 0.8. Which is the smallest value? (a) 1 (b) t (c) u b Let p(o) = -o - 5. Let d be p(-10). Let h = 5 - 13/3. What is the second biggest value in h, 0.3, d? h Let o = -1.3 + 1.22. Let w = o + -0.92. Which is the second biggest value? (a) 3 (b) 1/5 (c) w b Let p = -0.5 - -1. Let r be (((-9)/6)/3)/1. Let a be -24 - -21 - -4*1. What is the third smallest value in p, r, a? a Let r = 192 + -196. Which is the third biggest value? (a) -2 (b) r (c) 11 b Let d(y) = y**3 + y**2 - 2. Let f be d(0). Let m be -6*(2/(-4) - f). Let o be (-12)/m*(-3)/5. Which is the smallest value? (a) -2/3 (b) -1 (c) o b Let v = -0.5 - -0.5. Let y = -5 + v. Let p = 4 + 1. What is the biggest value in 3/4, p, y? p Let i = -0.1 + 0.1. Let z = 11 - 31. Let g be (-6)/8*z/6. Which is the second smallest value? (a) 1/7 (b) i (c) g a Let s = -55/3 + 18. Let o = -0.32 - -0.22. Which is the smallest value? (a) -0.3 (b) s (c) o b Let l = 98/9 + -32/3. Which is the smallest value? (a) 4 (b) l (c) -1/3 c Let s = -15 - -17. Which is the second smallest value? (a) -5 (b) 5 (c) s
{ "pile_set_name": "DM Mathematics" }
ate x(-2). -25 Let b(y) = -4*y**2 + 48*y + 22. What is b(16)? -234 Let q(f) = -95*f - 1236. What is q(-13)? -1 Let t(s) = s + 20. Give t(0). 20 Let k(q) = 2*q + 2. What is k(-2)? -2 Let a(t) = 2*t - 5. Give a(5). 5 Let g(l) = 3*l**2 - 31*l - 16. Give g(11). 6 Let t(q) = 8*q**2 - 2*q - 21. What is t(-4)? 115 Let w(b) = -11*b**2 + 2*b - 1. Calculate w(1). -10 Let k(l) = -l**2 + 30*l + 344. Determine k(39). -7 Let b(q) = q**3 + q**2 - 2*q - 3. Give b(-1). -1 Let o(j) = -j**2 + 23*j - 57. What is o(4)? 19 Let o(z) = -z + 6. What is o(23)? -17 Let j(f) = f**3 + f**2 + f - 75. Calculate j(0). -75 Let k(u) = 2*u**3 - 3*u + 3. Determine k(2). 13 Let l(i) = -40*i - 425. Determine l(-11). 15 Let w(s) = -30*s + 2. Calculate w(1). -28 Let a(b) = -39*b + 77. Give a(2). -1 Let t(k) = -k**3 - 16*k**2 - 12*k + 53. Give t(-15). 8 Let j(o) = o**3 + 10*o**2 + 17*o + 4. Determine j(-7). 32 Let a(g) = g**3 - 17*g**2 - 16*g - 17. Determine a(18). 19 Let p(m) = -45*m**2. Calculate p(-1). -45 Let o(h) = -h**2 - 8*h - 21. Calculate o(-5). -6 Let m(g) = g**3 - 9*g**2 - g - 3. Give m(9). -12 Let r(k) = -k**3 - 4*k**2 + 19*k + 89. Determine r(-5). 19 Let y(w) = w**2 - 76. Determine y(9). 5 Let j(g) = -8*g + 5. Calculate j(-3). 29 Let y(z) = 3*z**2 - 20*z + 31. Give y(2). 3 Let g(x) = -x + 72. Determine g(29). 43 Let b(w) = w**2 - 3. Determine b(-7). 46 Let r(t) = t**3 + 6*t**2 + t - 4. Give r(-5). 16 Let g(p) = 3*p**2 + 206*p - 282. What is g(-70)? -2 Let p(r) = -7*r**2 - 8*r - 4. Determine p(-4). -84 Let j(l) = -21*l + 1294. What is j(62)? -8 Let n(i) = i**2 + 8*i - 11. Determine n(-9). -2 Let r(b) = 2*b**3 + 16*b**2 - 4*b - 2. Calculate r(-8). 30 Let l(b) = b**2 - 17*b + 27. Calculate l(16). 11 Let g(b) = -b**3 + 5*b**2 - 7*b + 6. Give g(4). -6 Let g(l) = l**2 - l + 1. Calculate g(-5). 31 Let f(z) = z**3 + 7*z**2 + 10*z - 4. Give f(-5). -4 Let a(v) = v**2 - 9*v + 3. What is a(8)? -5 Let x(z) = -z**2 + 13*z - 21. Give x(9). 15 Let g(j) = j**2 - 11*j + 6. Calculate g(7). -22 Let k(f) = 2*f - 8. Determine k(4). 0 Let u(a) = 31*a + 2. Determine u(1). 33 Let r(f) = -7*f - 17. Calculate r(6). -59 Let f(l) = -3*l**2 + 2*l. Determine f(-2). -16 Let m(q) = -q**3 + 23*q**2 + q - 27. Calculate m(23). -4 Let k(p) = 22*p + 1. Determine k(6). 133 Let x(k) = k - 16. Give x(18). 2 Let v(n) = -n**3 - 4*n**2 + 36*n + 135. Calculate v(-6). -9 Let s(w) = -w - 12. What is s(-6)? -6 Let i(w) = w**3 + 9*w**2 - 2*w - 5. Calculate i(-9). 13 Let g(t) = t**3 - 6*t**2 + 1. Give g(6). 1 Let u(n) = -2*n + 9. Calculate u(4). 1 Let a(f) = f**2 - 24*f. Calculate a(24). 0 Let b(t) = t**2 - 16*t - 6. What is b(7)? -69 Let c(n) = n**2 - 11*n + 8. Calculate c(3). -16 Let k(v) = -4*v - 14. Determine k(-3). -2 Let c(j) = j**2 + 2*j + 70. Calculate c(0). 70 Let d(k) = -k**3 + 4*k**2 + k + 61. Calculate d(6). -5 Let u(j) = -j**2 - 11*j - 15. Determine u(-11). -15 Let v(h) = -h**2 - 9*h - 10. Give v(-6). 8 Let t(q) = -30*q + 571. What is t(19)? 1 Let j(v) = -v**3 - 5*v**2 + 7*v - 1. Give j(-5). -36 Let s(o) = -11*o - 4. Give s(4). -48 Let q(n) = 2*n**2 + 9*n + 4. Determine q(-7). 39 Let r(q) = -q - 7. Calculate r(0). -7 Let l(j) = j**3 - 3*j**2 - 6*j + 2. What is l(4)? -6 Let s(i) = 12*i + 24. Determine s(-6). -48 Let r(c) = 2*c**2 - 34*c - 107. Determine r(-3). 13 Let m(n) = 2*n**2 + n - 19. Give m(0). -19 Let w(l) = -l**3 - 6*l**2 + 11. What is w(-6)? 11 Let o(b) = -b**3 - 7*b**2 + 5*b - 9. Calculate o(-8). 15 Let q(p) = -p**3 + 4*p**2 - 13. What is q(4)? -13 Let i(q) = -23*q**2 - q + 1. What is i(-1)? -21 Let w(d) = d**3 + 5*d**2 - 3*d + 1. Give w(-6). -17 Let x(f) = f**2 - f + 10. Give x(0). 10 Let x(i) = 5*i**2 + 94*i - 22. What is x(-19)? -3 Let v(a) = a**2 - 6*a + 9. Determine v(5). 4 Let v(f) = -12*f + 51. What is v(5)? -9 Let h(d) = -4*d**3 - 2*d**2 + d - 2. What is h(-2)? 20 Let r(n) = -n**2 - 15*n - 57. Calculate r(-9). -3 Let p(d) = -d**3 - 7*d**2 + 5*d - 8. Determine p(-8). 16 Let q(h) = -h**2 + 13*h - 7. Give q(12). 5 Let b(k) = 8*k - 37. What is b(4)? -5 Let t(r) = 9*r + 1. Calculate t(-1). -8 Let q(s) = s**3 - 12*s**2 - 12*s + 6. Give q(13). 19 Let x(m) = 2*m**2 + 20*m + 25. Give x(-8). -7 Let q(f) = -f**2 - 5*f - 6. Give q(-4). -2 Let k(y) = -4*y + 3. Determine k(10). -37 Let f(u) = -2*u**2 + 4*u - 5. Calculate f(-1). -11 Let i(t) = t**2 + 6*t + 1. What is i(-2)? -7 Let j(s) = -s + 18. What is j(12)? 6 Let b(g) = 4*g - 66. Determine b(15). -6 Let x(m) = 2*m**2 + 20. Determine x(-4). 52 Let p(w) = -2*w + 27. What is p(20)? -13 Let h(o) = -21*o - 5. Calculate h(-1). 16 Let i(n) = 2*n**2 - 7*n - 3. Give i(-4). 57 Let k(n) = 3*n**2 - n - 2. Determine k(-5). 78 Let n(a) = -a**2 - 6*a + 25. What is n(-8)? 9 Let d(l) = -5*l + 13. Calculate d(8). -27 Let w(d) = -d**2 - 14*d - 13. What is w(-13)? 0 Let o(p) = 28*p**2 - 2*p + 1. Calculate o(1). 27 Let r(q) = q**3 - 12*q**2 + 13*q + 19. Give r(11). 41 Let x(w) = 3*w + 10. Give x(-7). -11 Let s(v) = -v**3 + 2*v**2 + 22*v - 6. Give s(-4). 2 Let s(y) = -y**3 + 11*y**2 + 9*y + 21. Calculate s(12). -15 Let f(o) = o**2 - 5*o + 7. What is f(8)? 31 Let k(i) = i**2 - 12*i + 7. Determine k(6). -29 Let z(v) = -9*v + 207. What is z(24)? -9 Let i(k) = 4*k**3 - k**2 + k + 1. Give i(2). 31 Let d(s) = -6*s - 163. Calculate d(-27). -1 Let g(j) = j**3 + 4*j**2 - 4*j + 15. Calculate g(-5). 10 Let n(q) = 2*q**2 + 13*q - 9. What is n(-6)? -15 Let z(h) = 3*h + 15. Calculate z(-5). 0 Let d(x) = 4*x + 38. Determine d(-11). -6 Let a(v) = 10*v + 11. Calculate a(-1). 1 Let m(q) = q**3 + 7*q**2 + 8*q + 2. What is m(-6)? -10 Let w(p) = p**3 + 2*p**2 + p - 4. What is w(3)? 44 Let s(l) = -3*l**2 + 51*l - 92. Calculate s(15). -2 Let z(p) = p**2 + 6*p - 11. Determine z(-7). -4 Let v(j) = -j**2 - 32*j - 64. Calculate v(-30). -4 Let f(w) = 9*w + 64. Give f(-7). 1 Let s(i) = -i**2 - 8*i + 13. Determine s(-10). -7 Let s(z) = -5*z**2 - 3*z + 2. Determine s(-2). -12 Let f(d) = d**2 - 12*d - 13. Determine f(13). 0 Let q(a) = 15*a - 1. What is q(-1)? -16 Let t(g) = 27*g - 1. Determine t(1). 26 Let m(r) = 23*r + 10. Give m(-5). -105 Let a(i) = 16*i - 2. Determine a(2). 30 Let q(o) = 3*o - 7. Calculate q(-5). -22 Let h(y) = -y**3 + 3*y**2 + 5*y + 11. What is h(5)? -14 Let q(p) = p**3 - 46*p**2 + 49*p - 177. Give q(45). 3 Let g(x) = -3*x**2 - 4. Determine g(4). -52 Let k(p) = -p**2 - 10*p + 117. What is k(-17)? -2 Let b(i) = -2*i**2 + 3*i - 11. Determine b(-4). -55 Let q(t) = 5*t + 55. Determine q(-11). 0 Let a(y) = -y + 23. Calculate a(15). 8 Let z(m) = 9*m - 60. Give z(5). -15 Let p(f) = f**2 - 24*f - 57. What is p(-2)? -5 Let l(u) = 15*u**2 - u - 1. Give l(-2). 61 Let u(l) = l**2 - 11*l - 1. Determine u(11). -1 Let n(w) = -w + 19. Give n(11). 8 Let l(b) = 2*b. Determine l(-2). -4 Let d(w) = -3*w**2 + 5*w + 1. Determine d(3). -11 Let n(o) = o**3 - o**2 - 3*o + 1. Calculate n(-3). -26 Let h(s) = 2*s**3 - 3*s**2 + 6*s - 8. Determine h(4). 96 Let b(k) = k**3 + 11*k**2 - 13*k + 11. Determine b(-12). 23 Let t(i) = i**3 + 17*i**2 - i - 23. Give t(-17). -6 Let p(f) = -12*f**2 - 146*f - 21. Give p(-12). 3 Let z(o) = o + 11. What is z(-12)? -1 Let p(j) = -j**3 + 9*j**2 - 10*j + 17. Calculate p(8). 1 Let h(z) = -2*z**2 - 10*z - 16. What is h(-4)? -8 Let w(s) = 2*s + 20. Give w(-10). 0 Let w(n) = -n**3 - 11*n**2 - 11*n - 7. Determine w(-10). 3 Let n(x) = -x**2 + 25*x - 83. What is n(21)? 1 Let g(q) = q**2 + 8*q + 11. Give g(-7). 4 Let a(z) = z**3 + 5*z**2 - 7*z - 10. Calculate a(-6). -4 Let g(w) = -22*w**3 - 1. Calculate g(-1). 21 Let q(n) = n - 6. Give q(8). 2 Let b(h) = -18*h + 191. Calculate b(10). 11 Let g(d) = -10*d + 60. Calculate g(6). 0 Let z(g) = 12*g + 12. Give z(-8). -84 Let c(z) = 16*z. What is c(3)? 48 Let r(k) = -k**3 + 5*k**2 + 6*k - 12. Give r(7). -68 Let n(x) = -15*x - 10. What is n(0)? -10 Let b(k) = -k**3 - 4*k**2 + 18*k - 14. Give b(-7). 7 Let x(v) = v**3 - 10*v**2 + 8*v + 10. What is x(9)? 1 Let i(d) = -d**3 - 19*d**2 + d + 11. Calculate i(-19). -8 Let s(l) = 2*l**3 - 4*l**2 + 3*l - 4. What is s(3)? 23 Let j(u) = -20*u**2 - 161*u + 4. Give j(-8). 12 Let s(w) = 7*w**3 - 1. Calculate s(-1). -8 Let g(i) = -i**2 - 9*i + 25. Determine g(0). 25 Let o(q) = -q**2 - 31*q - 3. Give o(-27). 105 Let g(b) = b**3 + 5*b**2 - b + 3. Give g(-5). 8 Let c(b) = -b**2 - 13*b - 11. Determine c(-10). 19
{ "pile_set_name": "DM Mathematics" }
0? g Suppose -5*d = -25, -2*u - 2*d = d - 35. Let k be -2*1/4*u. Let i = 0.27 - 0.27. Which is the third biggest value? (a) i (b) -4 (c) k c Let f = -0.9 + -0.2. Let j = f - -1.4. Which is the third smallest value? (a) -1 (b) j (c) 1/5 b Suppose 0 = -5*p + 7 + 63. Suppose 0 = 3*s - 2*z - p, 4*s + z + 8 = -3*z. Suppose -11 = 3*h - s. Which is the second smallest value? (a) -1 (b) h (c) -1/2 a Let b = -1.915 + -0.085. Let s = -190 + 1333/7. Let m = 4 + -3. What is the third biggest value in s, m, b? b Let t be 1*(-6)/36*4. What is the fourth smallest value in -4, t, 2/3, -5? 2/3 Let r = -10 - -10.01. Let o = 32.29 + -32. Let d = r + o. Which is the third biggest value? (a) 1/10 (b) -2/11 (c) d b Let v = 20/23 + -663/736. Which is the biggest value? (a) 3 (b) v (c) -2/11 a Let g = -127/3 - -42. Let h = -73/4 + 353/20. What is the third smallest value in h, g, 1? 1 Let d = -0.06 - 4.94. Let w = -3 - d. Let l(q) = 2*q**2 - 22*q - 5. Let s be l(11). What is the smallest value in w, -0.3, s? s Let h = -16.7 - -17. Which is the fourth biggest value? (a) 2/5 (b) 1 (c) 1/10 (d) h c Let s(z) = -3*z + 5. Let i be s(3). Which is the second biggest value? (a) -1 (b) i (c) 0.04 (d) -0.5 d Let g = 0.35 + -0.24. Let u = -0.39 - g. Which is the third smallest value? (a) u (b) -4 (c) 0.5 c Suppose -15*c + 10*c - 10 = 0. What is the second smallest value in 10, c, -1? -1 Let q = -0.022 + 0.122. Which is the smallest value? (a) q (b) -3/4 (c) 4 b Let o be 8/510 - ((-75)/(-85) - 1). Let m = 29/2 - 17. Which is the second biggest value? (a) o (b) m (c) -5 b Let i = 0.4 + -0.8. Let k = 0 - i. Let z = 0.06 + -5.06. Which is the third smallest value? (a) z (b) 0.5 (c) k b Let f = 0.1 - 0. Let q = 7 - 6.4. Let z = q - f. Which is the biggest value? (a) -0.2 (b) 2 (c) z b Let l = -6 - -4. Let f = 0.5 + -2.5. Let m = f - l. Which is the biggest value? (a) 2 (b) -0.4 (c) m a Let l = -1.88 - -0.56. Let z = -0.72 + l. Let j = z - -0.04. What is the biggest value in j, 0, 3? 3 Let f be ((-12)/10 - -1)*2. Let p = -1 - -0.7. Which is the third biggest value? (a) f (b) p (c) -4 c Let s = -13 + 194/15. Let y = -11/60 + s. Let l = -3 - -1. What is the second smallest value in y, l, -0.1? y Suppose 18 - 13 = -n. Which is the second biggest value? (a) -2/11 (b) -0.5 (c) 2/5 (d) n a Let w = 0.8 - 0.6. What is the biggest value in -0.5, 2/3, w? 2/3 Let j = 800/1351 + -4/193. Let n be 1*-4*6/64. What is the second smallest value in j, n, 4/3? j Let s = 0 + -0.1. Suppose 2*o + 8 = 6*o. What is the third biggest value in 3, o, s? s Let m = -541/9 - -60. Let f = -17 + 14. Which is the biggest value? (a) 2 (b) m (c) f a Let m(t) = t**3 + 2*t - 5*t**3 + 2*t - 5*t + 3*t**2. Let o be m(2). Let h be 1 - (-3 + o/(-6)). Which is the second smallest value? (a) -5 (b) h (c) -3 c Let s be -2 + -1 - 111/(-39). Let o = 10 + -9.1. Let n = 0.1 + o. Which is the third smallest value? (a) s (b) n (c) 0.3 b Let l = 2/861 + 9463/3444. Let m = -3 + l. Let f = -2.03 - -0.03. What is the third smallest value in m, 0.1, f? 0.1 Let d = 7 - 5. Let b be d/(-72) + (-2)/(-8). Let n = -0.62 - -0.12. What is the third biggest value in n, -1, b? -1 Suppose -2*h - 2*f - 6 = 0, 2*h = -6*f + 2*f - 12. Which is the second biggest value? (a) h (b) 1/5 (c) 4 b Let u = -225 + 243.1. Let m = u + -17. Let j = 0.7 - m. What is the third biggest value in -2, j, 1/4? -2 Let q = 11 - 7. Let o = 0.2 + -0.3. Let p = 0.6 + o. What is the third biggest value in p, q, 1? p Let w be 120/(-25) + 1/(-5). Let k = -1 - w. What is the third biggest value in k, 2/9, -0.1? -0.1 Let q = 41 + -41. Suppose o + 6 = -1. Let m be (o/4 + 2)*1. Which is the third smallest value? (a) q (b) 1 (c) m b Suppose 2 = -3*b + 2*j, b + 5*j + 12 = -0*b. Let x = 3 - 9. Let p = x - -11. What is the biggest value in p, 1, b? p Let h = 21.8 + -22. Let g = -8 + 7.7. What is the third smallest value in g, -0.1, h? -0.1 Let j = 6 - 8. What is the smallest value in 1/3, 0.2, j, -1? j Let g = -1.1 + 5.1. Let n = g + -7. Which is the third smallest value? (a) -5 (b) 1 (c) n b Let l = -1 - -2. Suppose 5*o - 9*o + 20 = 0. What is the biggest value in o, 1/4, l? o Let g = 42785 + -213218/5. Let k = 141 - g. Let v(b) = 2*b - 1. Let x be v(-1). What is the third smallest value in k, x, 3? 3 Let u = 87.6 + -88. Which is the fourth smallest value? (a) -0.2 (b) u (c) 0 (d) 0.3 d Let p = 6 - 6.16. Let u = p - 0.04. Suppose -4 = 6*r - 2*r. What is the biggest value in r, u, -0.1? -0.1 Let l = -0.66 + 0.6. Let v = -0.16 - l. Let z be 1/(-6) - (-10)/(-36). What is the third smallest value in z, -0.2, v? v Let s be (-16)/(-1*4) + 0. Let d be 6/s + (-125)/70. What is the smallest value in 0.2, 2, d? d Let a(t) = t**3 - 4*t**2 + 2*t - 3. Let j be a(4). Let p be (0 + 2)*j/(-75). What is the third smallest value in -2, p, -3/2? p Let h = 28 + -13. Let v = h - 16. Which is the second biggest value? (a) -2/11 (b) -5 (c) v c Let j be (-1)/(4/(-2) + 1). Let h = 13 + -13.4. What is the second biggest value in h, j, 0.1? 0.1 Suppose 0 = -n - n + 4. Suppose r + n = 2*r. Let w = 15 + -15.4. Which is the biggest value? (a) r (b) 1 (c) w a Let j be -1 + 2*((-21)/6 - -3). What is the second biggest value in j, -1, 2/11? -1 Suppose -4*j - 7 - 5 = 0. Let p = -3.97 + -0.03. Which is the third biggest value? (a) j (b) 1/9 (c) p c Let h = -151 + 116. What is the smallest value in -2, -0.1, h, -3? h Let t = 1.75 + 0.29. Let b = t - 0.04. What is the biggest value in b, 0.5, 0? b Let t = 0 - 0. Let z = -0.01 + -0.29. Let o = -0.03 + -0.37. What is the second smallest value in t, z, o? z Let v be 0 - 2 - (-19 - -2). Suppose 2*q - v = 7*q. Let r = q - -7. Which is the third smallest value? (a) 0.2 (b) r (c) 0.3 b Let f = 1.1 - 7.1. Let r = f + 11. Which is the third smallest value? (a) 1/6 (b) r (c) -0.3 b Let v = 8 + -11. Suppose -3*t - 4*s - 17 = s, 5*t - 25 = 5*s. Which is the third biggest value? (a) 5 (b) v (c) t b Let u = -2 - 1. Let b be (0/2 + -1)/1. What is the smallest value in b, u, 0.5? u Let b = -3 - -2.6. Let a = 0.56 - -21.44. Let p = -25 + a. What is the biggest value in p, -2/3, b? b Suppose 3*i - 50 = 5*z, 2*z - 5*i = -2*z - 40. Let m be (-1)/z*-3*-2. Which is the smallest value? (a) 5 (b) -1/4 (c) m b Let l = 3.6 - 0.6. Let q = l - 2. Let n be 3*((-2)/15 + 0). What is the biggest value in n, -2, q? q Let q = -2 - -3. Let r = 2783/63 - -10/63. Let z = -45 + r. Which is the third smallest value? (a) z (b) -3 (c) q c Let n = -29 + 30.7. Let v = -2 + n. Which is the second smallest value? (a) v (b) -2/7 (c) 0 b Let g be (-236)/(-56) + (-9)/6. Let q = g - 8/21. Let a = -23/9 + q. What is the biggest value in -2, -3, a? a Let i = 4.7 - 5. Let w = -1.7 + 2.4. Let t = -1.1 + w. Which is the biggest value? (a) t (b) i (c) 0 c Let o = 9 + -8.6. Let z = -56 + 55.5. Which is the biggest value? (a) o (b) z (c) 0.04 a Suppose 0 = 5*w + 4*j + 13, -3*j + j + 1 = w. Let t = 0.04 + -0.54. What is the second biggest value in 1, w, t? t Let z = 0.1 - 2.1. Let l = 2.1 + -1.7. What is the second biggest value in l, z, 4? l Let i(h) = -h + 3. Let w be i(2). Which is the smallest value? (a) w (b) 3 (c) 5 a Let w = -3107/15 - -207. Let n = -0.58 + -0.42. Which is the third smallest value? (a) n (b) 1/5 (c) w b Let z = -3 + 2.8. Let r = z + 0.3. Let u = -6.6 + 3.6. Which is the biggest value? (a) r (b) u (c) 0.4 c Let g = 25.1 + -24. Let l(j) = 2*j**2 - 2*j + 1. Let q be l(2). Which is the third smallest value? (a) g (b) -1 (c) q c Let k = 345/2 - 172. Which is the third smallest value? (a) -0.2 (b) -3 (c) k c Suppose 5*q - 16 = 3*g, 4*g - 12 - 20 = -4*q. Which is the second smallest value? (a) -4 (b) -2 (c) q b Let i be 10/(-168) - (-3)/21. Let w = 0.3 + -0.2. Let t = 0.6 - w. Which is the smallest value? (a) i (b) 1 (c) t a Let f = -0.4 - 2.6. Which is the second biggest value? (a) 5 (b) 1/4 (c) f b Let z = 3 + -3.2. Which is the smallest value? (a) 4/7 (b) z (c) 1/2 b Let i = 0.94 - 0.54. Which is the third biggest value? (a) 2/3 (b) i (c) 2 (d) 6 a Let y = -482/5 + 96. Which is the second biggest value? (a) 0.07 (b) -0.2 (c) y b Let d = 0.233 - 8.673. Let n = d + 8. Let w
{ "pile_set_name": "DM Mathematics" }
8/(-3). Let k(q) be the second derivative of -q**5/20 - q**4/12 + q**3/2 - q**2/2 - 11*q. Determine k(w). 8 Let z(m) = -m**2 + 3*m + 4. Let g be ((-9)/9)/(1/(-7)). Suppose 2*u + 2*i - g = -u, 2*u + 6 = -4*i. Determine z(u). -6 Let g(k) be the third derivative of k**4/12 + k**3/6 - 22*k**2. Calculate g(2). 5 Let d(p) = -p**2 + 7*p + 4. Let v be d(7). Let o(z) = -v + 4 + 2 - z. Let r be (3/(-5))/((-2)/10). Calculate o(r). -1 Let k(f) = -3*f - 22 - 14 + 40. Give k(3). -5 Suppose 9*z = 5*z. Let c(s) = -s**2 + 11 + 20*s - 20*s. What is c(z)? 11 Let m(v) be the third derivative of 0 + v**3 - 1/4*v**4 + 0*v - v**2 + 1/60*v**5. Let x(j) = 2*j**2 - 3*j + 4. Let s be x(0). Determine m(s). -2 Let t(y) = y**3 + 3*y**2 + 2*y. Let b = 9 - 11. Give t(b). 0 Let k(l) = -l**3 + 11*l**2 - 2*l + 16. Let y be k(11). Let v(b) = -b**3 - 5*b**2 + 9*b + 1. What is v(y)? -17 Let b(f) = f**2 - 2*f - 3. Let z(n) = -n**3 - 2*n**2 + 3*n + 3. Let u be z(-2). What is b(u)? 12 Let z(v) = -3 + 3*v - 2*v**2 - 3*v + 5*v. Let p = -252 - -255. Give z(p). -6 Let q(b) = -1 - 2*b**2 - 5*b - 1 + 3*b**2. Let u(j) = j**2 + 7*j - 10. Let h be u(-8). Let m = 3 - h. Give q(m). -2 Let o(u) = 16 - u + 5*u - 5*u. Let m(a) = a - 11. Let k(w) = -7*m(w) - 5*o(w). Give k(-5). 7 Let n(r) = 2 + 3*r**3 - 7*r - 6 - 6*r**2 - 2*r**3 - 1. Let y(u) = -u**3 + 10*u**2 + 2*u - 13. Let k be y(10). What is n(k)? -5 Let n(o) = o**3 + 7*o**2 + 5*o + 8. Let d(h) = 2*h**3 + 6*h**2 + 2*h. Let r be d(-3). Calculate n(r). 14 Suppose b + 0*b = 5. Let g be (-2 - 1) + 35/b. Let a(t) = -t + 0*t**2 - 2 - t**2 + 7*t. Give a(g). 6 Let i(h) = 0*h + 2*h + 2*h + 4. Let s be i(-2). Let c(g) = -g**2 - 2*g + 1. Give c(s). -7 Let h be (6/4)/(6/24). Let o(l) = l**3 - 7*l**2 + 6*l + 4. Calculate o(h). 4 Let w(m) = m**3 + 3*m**2 + m - 4. Let c be w(-3). Let l(u) be the first derivative of u**4/4 + 8*u**3/3 + 3*u**2 - 43. Determine l(c). 7 Let t(o) = -o**3 - 3*o**2 - o. Let j be t(-3). Suppose -j + 1 = -u. Let x(r) = 0*r - 3*r + 4*r - r**3 - 4*r**u - 1 - 4*r. What is x(-2)? -3 Let d = -13 - -18. Suppose -2 = 3*q - d*q. Let f(k) = -4*k**2 - k - 3. Let x(r) = 5*r**2 + r + 2. Let v(u) = 2*f(u) + 3*x(u). Calculate v(q). 8 Let f(w) be the second derivative of 3*w + 0 + 1/3*w**3 + 3*w**2. Let v(r) = -r - 7. Let l(i) = 6*f(i) + 5*v(i). What is l(-1)? -6 Suppose p - 9 = -2*p. Let j = 9 + -9. Let v(x) = j + x**2 + 0*x**2 - x - 1. Give v(p). 5 Let a(x) be the first derivative of 0*x + 3 + 1/24*x**4 - 1/2*x**2 + 4/3*x**3. Let n(c) be the second derivative of a(c). Give n(-6). 2 Let x be (2 + -1 + 2)/1. Suppose -5*v + x = -6*v. Let m(i) = -i**2 + 4*i - i - 5*i - 2. Determine m(v). -5 Let u(h) be the first derivative of -2*h**3/3 + 2*h**2 - 1. Let b(w) = w**3 - 7*w**2 - 6*w - 8. Let s be b(8). Let a = s - 5. Determine u(a). -6 Let m(h) be the third derivative of h**4/24 - h**3/2 - h**2. Let g be (0/1)/(2/1). Calculate m(g). -3 Let r = -15 - -13. Let t(o) = 4*o**2 - 2. Give t(r). 14 Let z(o) be the third derivative of -o**6/120 - o**5/15 - o**4/12 + o**3/6 + 3*o**2. Let w(n) = n**3 - 6*n**2 - 8*n + 3. Let l be w(7). What is z(l)? 9 Suppose -2*i + 6*i = 0. Let r(j) = -j - 336 + 346 + i*j. Determine r(6). 4 Let y(w) = 7*w**3 - 10*w**2 + 6*w - 4. Let o(t) = -20*t**3 + 29*t**2 - 17*t + 12. Let l(i) = -6*o(i) - 17*y(i). Calculate l(4). -4 Let b(j) = -3*j + 2*j + 9 + j - j. What is b(8)? 1 Let i(l) be the second derivative of 0 + 5*l + 1/3*l**4 - l**3 + 1/20*l**5 - 3/2*l**2. Determine i(-5). 2 Let t(r) = 9*r**2 - 3*r. Let b(i) be the second derivative of 3*i**4/2 - 7*i**3/6 - i. Let l(a) = 2*b(a) - 5*t(a). Calculate l(1). -8 Let y(v) be the first derivative of -v**4/4 + 4*v**3/3 - v**2/2 + v - 1. Let f = -1 - 3. Let h be ((-2)/f)/((-5)/(-30)). Determine y(h). 7 Let w(c) = 2*c**2 - 4*c - 1. Suppose -10*g + 12*g - 10 = 0. Suppose 2*p + 6 = 0, -g = o + 2*p - 2. Give w(o). 5 Let w be 28/5 + 9/(-15). Suppose -15 = -3*m - 3*k, w*k - 4 + 3 = 3*m. Let q(u) = 1 - 2 - m*u - 4*u. Calculate q(-1). 6 Let w(h) = -h**3 - h**2 - 5. Suppose 3*c + 4 + 2 = -u, 2*u + 2 = -c. Give w(u). -5 Let j(s) = -5*s - s**2 + 0*s + 2*s**2 + 2. Suppose -c - 2 = 3*v + v, 2*c - 2*v = 26. Let f be c/2 - (-1 + 3). Give j(f). -4 Let r(z) = -z**3 + z**2 + 2*z + 2. Suppose -2*t + 4 = -0*t. Suppose 2*d - 4 = t. What is r(d)? -10 Let s(b) = b**2 + 3*b - 4. Let u(a) = 1. Let n(l) = s(l) + 4*u(l). Calculate n(-4). 4 Suppose -3*x + 5*y = -16, 2*x = -5*y + 2 - 8. Let h(u) = -u**2 + 3*u. Give h(x). 2 Let g(h) = h - 4. Let o be g(4). Let u(b) = b**2 + o*b + 1 - 3*b + 8*b. Let m be (-1 + 0)*-1*-5. Give u(m). 1 Let w(c) = -3*c - 74 + 2*c + 69. What is w(-7)? 2 Suppose -4*t + 4 = 2*n, 6*t = 3*t - n + 1. Let b(w) be the third derivative of 0 + 0*w**3 + 2*w**2 + 0*w**4 - 1/60*w**5 + 0*w + 1/40*w**6. What is b(t)? -4 Let v be ((-2)/4)/(-5 - (-6 + 2)). Let u(h) be the second derivative of -3*h + v*h**2 - 1/2*h**3 + 0 + 1/12*h**4. Determine u(4). 5 Let v be 2 + 5/(15/24). Let c = v - 3. Let s(a) = c*a + a - 3*a + 0 - 1. What is s(-1)? -6 Suppose -5*j - 22 + 2 = 0. Let b be 0 + -1 + (1 - -2). Let c(g) = b - 2*g**2 - 6*g + g**3 + 5*g + 5*g**2. What is c(j)? -10 Let f(z) = -z**3 - 5*z**2 + 2*z + 7. Let c be 6 + 2/(4/(-2)). Suppose c*w - 4*j + 45 = 0, -4*w + 3*j = -w + 30. Give f(w). -3 Suppose -7 = -g - 13. Let t(s) = s**3 + 7*s**2 + 5*s + 1. What is t(g)? 7 Suppose 6 = 7*k - 5*k. Suppose 2*y = 8, s - k*y = -4*y + 2. Let b(p) = -p**3 - 3*p**2 - 3*p. Calculate b(s). 2 Let w(z) be the third derivative of -z**4/24 + 5*z**3/6 + 5*z**2. Let m(i) = i**3 + 7*i**2 + 5*i. Let g be m(-6). Determine w(g). -1 Let h(l) = -2*l + 7. Suppose 0 = -4*i + 3*i - 4. Let c be -1 - (-5 + i + 2). Determine h(c). -5 Let v = 5 - 11. Let l(t) = -t**3 - 5*t**2 + 8*t + 6. Give l(v). -6 Let g(q) = 4*q + 5 - 3*q + 3 - 7. Let f(a) = -a + 11. Let d be f(6). Calculate g(d). 6 Let z(r) = 3*r - 99 + 0*r + 98 + 2*r**2 + r. Let l(f) = f**2 - 6*f + 5. Let w be ((-2)/1)/(1/(-2)). Let q be l(w). What is z(q)? 5 Let g(u) = -13*u - 5. Let p(b) = -6*b - 2. Let i(w) = -w**2 + w + 10. Let y be i(3). Let r(j) = y*g(j) - 9*p(j). Let f be ((-6)/4)/((-9)/12). What is r(f)? 2 Let n(k) = 0 + 4 - k - k. Suppose 4*t - 20 = -5*p, 0*t - 2*p - 5 = -t. Suppose 0 = i - 0*i - t. Calculate n(i). -6 Suppose 2*y - 4*v + 15 - 5 = 0, -17 = -3*y - 2*v. Let b(z) = y + 0*z - 5*z + z - 2. Determine b(-1). 5 Let c = 0 - -2. Let x(f) = -3*f + f**2 + 4 - 5*f**2 + 3*f**c. Determine x(-4). 0 Let n(d) = -5 + 14 + 1 + d - 5. Determine n(-3). 2 Suppose 0 = -3*y + 6, -8 = 2*a - 4*y - 0*y. Let x be 5/(1/1 - a). Let b(t) be the first derivative of -t**2 - 1. Determine b(x). -10 Let t(y) = y**3 + 6*y**2 - 10*y - 10. Let k = -17 + 10. Determine t(k). 11 Let y(p) = -p**3 + p + 1. Let a(v) = v**2 + 1. Let q be a(2). Suppose k = q*k + 4. Determine y(k). 1 Let f(h) be the first derivative of 1/4*h**4 - 6*h - 3 + 0*h**2 + 1/3*h**3. Determine f(0). -6 Let x(t) = -3*t. Suppose -4*k = -12, -4*w = -2*w - k + 17. Let z = 4 + w. Determine x(z). 9 Let t(w) = -w + 3. Let y be (-5)/20 - (-17)/4. Let b be y + 1 - 0/1. What is t(b)? -2 Let w be -1*(4/(-2))/2. Let k(o) = -7*o**2 + 2*o + 1. Let s(l) = 36*l**2 - 11*l - 6. Let p(h) = 11*k(h) + 2*s(h). Determine p(w). -6 Let c(r) = -r + 6. Suppose 5*s + 37 = 4*g, g + 0*s - s = 8. Give c(g). 3 Let y = -1 + 4. Suppose 2*h - s = 7, 0 = -5*s + 3 + 2. Let d be 2*(6/h - y). Let t(c) = -2*c**2 - 5*c - 4. What is t(d)? -7 Let y(t) = 4*t - 90. Let h be y(21). Let v(c) = 7*c - 4*c + 8 + c**3 + 5*c**2 + c**2. Determine v(h). -10 Let k(r) = -2*r - 2*r + 5*r. Let c be k(3). Let p(o) = o**3 - o**c + 1 - 2*o**2 + o**3. Give p(-1). -2 Let m(r) be the third derivative of r**5/60 - r**4/12 - r**3/6 + 2*r**2. Let n(y) = y**3 + 6*y**2 + 6*y + 4. Let v be n(-5). What is m(v)? 2 Let i(m) be the third derivative of -1/3*m**3 - 1/24*m**4 - 1/15*m**5 + 0 + 0*m + 1/120*m**6 - m**2. Give i(4). -6 Let w(s) be the second derivative of s**5/20 + 5*s**4/12 - 5*s**3/6 - 13*s. Give w(-6). -6 Let n(z) = -4*z + 1. Let v be n(-1). Suppose -v*c - 5 - 23 = -2*u, -3*u = -12. Let y(h) = -h - 1. Determine y(c). 3 Let d(a) = -7*a**3 + a**2 + 2*a + 1. Let g(n) be the second derivative of -n**5/20 - n**4/4 + 2*n**3/3 - n**2/2 - 2*n. Let k be g(-4). What is d(k)? 7 Let d be 2/(-8) + (-68)/(-16). Suppo
{ "pile_set_name": "DM Mathematics" }
out replacement from wnhnnhn. 0 Calculate prob of sequence wsxe when four letters picked without replacement from exxsnfffxnws. 1/1980 Two letters picked without replacement from {j: 6, g: 2}. Give prob of sequence jj. 15/28 What is prob of sequence otot when four letters picked without replacement from ttthtotohotoott? 4/117 Calculate prob of sequence nn when two letters picked without replacement from htphggptthntggnphhnh. 3/190 Two letters picked without replacement from {w: 1, q: 1, r: 1, h: 2}. Give prob of sequence qh. 1/10 What is prob of sequence lu when two letters picked without replacement from uuuuuuuuuulluululuuu? 16/95 Three letters picked without replacement from ououohuouuuoohouoh. Give prob of sequence huu. 7/272 Three letters picked without replacement from qqqvaqxvvavaavqavqv. Give prob of sequence axv. 35/5814 Four letters picked without replacement from duufkdtww. Give prob of sequence tkww. 1/1512 What is prob of sequence vvv when three letters picked without replacement from vvvvcvvvvvvv? 3/4 Calculate prob of sequence zjj when three letters picked without replacement from jzhjz. 1/15 Three letters picked without replacement from abyqbbvbqvv. What is prob of sequence vvb? 4/165 Calculate prob of sequence hhnn when four letters picked without replacement from {n: 4, h: 3, w: 1, j: 2}. 1/70 What is prob of sequence sx when two letters picked without replacement from qyxykseqqeqy? 1/132 What is prob of sequence yyy when three letters picked without replacement from mqmqyyyqy? 1/21 Calculate prob of sequence jy when two letters picked without replacement from jyynn. 1/10 Three letters picked without replacement from hxmhhjrihxrm. Give prob of sequence mih. 1/165 What is prob of sequence rm when two letters picked without replacement from brbmrzbrrz? 2/45 What is prob of sequence je when two letters picked without replacement from {m: 5, e: 1, j: 3, w: 3, n: 6}? 1/102 Calculate prob of sequence wn when two letters picked without replacement from {k: 2, p: 2, n: 1, w: 1, f: 1}. 1/42 Calculate prob of sequence kofj when four letters picked without replacement from {j: 10, f: 1, k: 3, o: 1, v: 2}. 1/1904 Calculate prob of sequence uy when two letters picked without replacement from {y: 5, u: 2, t: 8}. 1/21 What is prob of sequence ekvv when four letters picked without replacement from {k: 4, e: 1, v: 2}? 1/105 What is prob of sequence jvv when three letters picked without replacement from jjvjv? 1/10 Three letters picked without replacement from {u: 3, b: 6, y: 3, q: 1}. What is prob of sequence uqb? 3/286 What is prob of sequence cjjc when four letters picked without replacement from {g: 4, j: 8, k: 4, c: 4}? 28/4845 Three letters picked without replacement from {b: 7, m: 1, o: 2, n: 2, a: 3, v: 3}. Give prob of sequence oav. 1/272 What is prob of sequence kz when two letters picked without replacement from {a: 1, z: 3, y: 6, l: 1, k: 4, b: 5}? 3/95 Three letters picked without replacement from ouugmeuurmuomuruu. Give prob of sequence mer. 1/680 Four letters picked without replacement from {y: 2, d: 7, x: 2, k: 4, n: 2, v: 2}. What is prob of sequence dknd? 7/1938 Four letters picked without replacement from jjjjjjjjjxjjjjxxjxjj. Give prob of sequence jxxj. 8/323 Two letters picked without replacement from ssdxdssddddxdxx. What is prob of sequence xs? 8/105 Four letters picked without replacement from pmppmm. Give prob of sequence pmmm. 1/20 Three letters picked without replacement from {r: 2, l: 1, m: 1, t: 1, a: 2}. What is prob of sequence ama? 1/105 Two letters picked without replacement from {k: 1, z: 4, q: 1, u: 2}. What is prob of sequence qq? 0 Three letters picked without replacement from smssums. Give prob of sequence mms. 4/105 Calculate prob of sequence ddee when four letters picked without replacement from lyldedyed. 1/252 Four letters picked without replacement from onpopoo. Give prob of sequence opno. 1/35 Calculate prob of sequence hpt when three letters picked without replacement from {h: 1, p: 1, d: 1, t: 1, q: 1}. 1/60 Two letters picked without replacement from cccccvcccuc. What is prob of sequence uv? 1/110 Four letters picked without replacement from wtwiytijtkiijt. What is prob of sequence wjyt? 2/3003 Two letters picked without replacement from aaeaaaaaaaaaaaaeae. What is prob of sequence ee? 1/51 Two letters picked without replacement from {a: 2, k: 2, n: 1, e: 1, z: 1, f: 2}. Give prob of sequence fz. 1/36 Three letters picked without replacement from inngnnngngngg. What is prob of sequence igi? 0 What is prob of sequence kttp when four letters picked without replacement from {z: 4, p: 2, o: 1, j: 1, t: 3, k: 1}? 1/990 Two letters picked without replacement from rwvbwb. Give prob of sequence rv. 1/30 Calculate prob of sequence cow when three letters picked without replacement from ccowwtwoayooaaococ. 1/68 What is prob of sequence hk when two letters picked without replacement from kddhhhccckc? 3/55 Calculate prob of sequence mmpg when four letters picked without replacement from lgpmmg. 1/90 Calculate prob of sequence rrr when three letters picked without replacement from rrrr. 1 What is prob of sequence ubbr when four letters picked without replacement from {f: 8, b: 2, u: 3, r: 6}? 1/2584 Two letters picked without replacement from ccccccccc. What is prob of sequence cc? 1 Two letters picked without replacement from {m: 2, t: 1, a: 1}. What is prob of sequence at? 1/12 What is prob of sequence vi when two letters picked without replacement from {v: 4, o: 3, i: 5}? 5/33 Four letters picked without replacement from {i: 1, h: 2, a: 3, v: 1}. What is prob of sequence aaai? 1/140 Three letters picked without replacement from ztcvg. What is prob of sequence ctv? 1/60 Calculate prob of sequence wwff when four letters picked without replacement from {w: 4, f: 2}. 1/15 Three letters picked without replacement from {y: 1, d: 1, s: 2, w: 2}. Give prob of sequence dsw. 1/30 What is prob of sequence sus when three letters picked without replacement from ssvu? 1/12 Four letters picked without replacement from issssssssoppppsss. What is prob of sequence oisp? 11/14280 Four letters picked without replacement from {l: 2, h: 3, f: 1, d: 4, g: 2}. What is prob of sequence dfhh? 1/495 Two letters picked without replacement from {y: 3, s: 7}. What is prob of sequence yy? 1/15 Calculate prob of sequence ia when two letters picked without replacement from ipiiaiaaaapa. 2/11 Calculate prob of sequence bvbq when four letters picked without replacement from tttqtcvttqtbbt. 1/6006 Three letters picked without replacement from pvjjpaawvvadpjjwa. Give prob of sequence vvp. 3/680 Calculate prob of sequence kk when two letters picked without replacement from klkwpwlwkwpkokwkwl. 5/51 Three letters picked without replacement from {r: 1, e: 1, k: 1, h: 1, x: 1}. Give prob of sequence xkr. 1/60 Two letters picked without replacement from oeboebeoeeeuoe. Give prob of sequence uo. 2/91 Three letters picked without replacement from lmpyhlu. Give prob of sequence yph. 1/210 What is prob of sequence qema when four letters picked without replacement from aqdem? 1/120 Two letters picked without replacement from {l: 2, h: 1, q: 2, z: 7}. Give prob of sequence ql. 1/33 What is prob of sequence gwl when three letters picked without replacement from {s: 3, w: 6, g: 1, l: 8}? 1/102 What is prob of sequence oo when two letters picked without replacement from oooooooooo? 1 Three letters picked without replacement from nqnggonnnonnngq. Give prob of sequence qqn. 8/1365 Four letters picked without replacement from {p: 1, w: 3, j: 1, t: 1, x: 1}. Give prob of sequence txjw. 1/280 Calculate prob of sequence sss when three letters picked without replacement from ssjjjs. 1/20 Four letters picked without replacement from {h: 1, k: 7, p: 1, z: 4, o: 2, d: 3}. Give prob of sequence zopz. 1/3060 What is prob of sequence wxw when three letters picked without replacement from xwtwttwxtwwwwwtwt? 3/85 Four letters picked without replacement from {o: 1, w: 9, f: 4}. Give prob of sequence ffwf. 9/1001 Four letters picked without replacement from {v: 3, h: 13, k: 4}. What is prob of sequence khkk? 13/4845 Three letters picked without replacement from nnoponnno
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {i: 2, z: 5}? 5/21 Calculate prob of sequence id when two letters picked without replacement from zlidkii. 1/14 Two letters picked without replacement from feofe. Give prob of sequence eo. 1/10 Three letters picked without replacement from {z: 2, b: 1, w: 1, n: 1}. Give prob of sequence nbz. 1/30 What is prob of sequence yr when two letters picked without replacement from yrrrrsrrq? 1/12 What is prob of sequence ahd when three letters picked without replacement from {f: 1, h: 1, d: 1, a: 2}? 1/30 Three letters picked without replacement from wwg. What is prob of sequence wwg? 1/3 Two letters picked without replacement from yhy. Give prob of sequence hy. 1/3 Two letters picked without replacement from apppoopppoo. What is prob of sequence pa? 3/55 What is prob of sequence pp when two letters picked without replacement from {t: 2, i: 1, p: 1}? 0 Three letters picked without replacement from {y: 6, e: 2, v: 1, g: 1, n: 8}. What is prob of sequence yen? 1/51 Calculate prob of sequence tw when two letters picked without replacement from atswsrrsrlrl. 1/132 Four letters picked without replacement from {o: 10, g: 4}. What is prob of sequence ooog? 120/1001 What is prob of sequence fxfx when four letters picked without replacement from {x: 3, f: 4}? 3/35 Four letters picked without replacement from fkkkkkkf. What is prob of sequence kkkf? 1/7 Calculate prob of sequence ww when two letters picked without replacement from {e: 1, f: 1, h: 3, w: 4, l: 1, x: 2}. 1/11 What is prob of sequence lc when two letters picked without replacement from lcwwlwlcwwuuwww? 1/35 What is prob of sequence jx when two letters picked without replacement from {j: 4, s: 5, x: 2}? 4/55 Calculate prob of sequence kejx when four letters picked without replacement from kezrjxkej. 1/378 What is prob of sequence zoo when three letters picked without replacement from {z: 3, n: 7, a: 3, o: 2}? 1/455 Calculate prob of sequence mtmf when four letters picked without replacement from tnnnfnmnmmum. 1/990 Calculate prob of sequence lttl when four letters picked without replacement from {l: 3, p: 4, t: 4}. 1/110 Three letters picked without replacement from okkgrkn. Give prob of sequence kon. 1/70 Three letters picked without replacement from eeoooeee. Give prob of sequence eee. 5/28 Calculate prob of sequence dddd when four letters picked without replacement from dcdccdccddccccjdcc. 1/204 What is prob of sequence ldtl when four letters picked without replacement from {t: 5, l: 2, d: 12}? 5/3876 Two letters picked without replacement from {t: 3, r: 1, o: 1, c: 1, g: 1}. Give prob of sequence tc. 1/14 Two letters picked without replacement from nxftlffxnnxxxunuxl. What is prob of sequence fu? 1/51 Three letters picked without replacement from {y: 3, v: 3, p: 2}. What is prob of sequence ypy? 1/28 Two letters picked without replacement from ssolssoolsscoossooop. What is prob of sequence cl? 1/190 Two letters picked without replacement from gdgdggggggdg. Give prob of sequence dg. 9/44 Four letters picked without replacement from cyfuftt. Give prob of sequence yctu. 1/420 Calculate prob of sequence ssxx when four letters picked without replacement from {v: 4, m: 6, a: 2, s: 2, x: 3}. 1/4760 What is prob of sequence fb when two letters picked without replacement from hhbfh? 1/20 Three letters picked without replacement from poppjzppzppz. Give prob of sequence zpz. 7/220 Calculate prob of sequence vcvc when four letters picked without replacement from voccvoocvoco. 1/165 Four letters picked without replacement from {w: 2, a: 3}. Give prob of sequence wawa. 1/10 Two letters picked without replacement from mamaggmtm. Give prob of sequence ga. 1/18 What is prob of sequence ug when two letters picked without replacement from gguggggggu? 8/45 What is prob of sequence jtk when three letters picked without replacement from ttjjkjjjjkjtjtttktj? 21/646 Four letters picked without replacement from {l: 1, x: 2, t: 3, i: 10, o: 3}. Give prob of sequence ixox. 5/7752 What is prob of sequence pp when two letters picked without replacement from {j: 2, p: 2, t: 1, h: 1, n: 2, f: 5}? 1/78 Four letters picked without replacement from atataatynytavaapvvan. Give prob of sequence atvy. 8/4845 What is prob of sequence fd when two letters picked without replacement from {i: 4, y: 1, g: 2, n: 2, f: 1, d: 4}? 2/91 What is prob of sequence sz when two letters picked without replacement from {z: 5, s: 2, b: 1, p: 3, i: 1, o: 1}? 5/78 Calculate prob of sequence xxx when three letters picked without replacement from {b: 1, x: 3}. 1/4 Four letters picked without replacement from ntzpqzq. What is prob of sequence qnpz? 1/210 What is prob of sequence nq when two letters picked without replacement from nnnq? 1/4 What is prob of sequence cpsz when four letters picked without replacement from cnpnszczczzpssnsnnz? 5/3876 What is prob of sequence ll when two letters picked without replacement from llllllnnlln? 28/55 Four letters picked without replacement from {c: 6}. Give prob of sequence cccc. 1 What is prob of sequence fp when two letters picked without replacement from hdfphpdhpppdphppfpp? 10/171 What is prob of sequence ccc when three letters picked without replacement from {c: 3, s: 1}? 1/4 What is prob of sequence by when two letters picked without replacement from ltvbsys? 1/42 What is prob of sequence kk when two letters picked without replacement from nkmmadmmmd? 0 What is prob of sequence rj when two letters picked without replacement from {j: 1, r: 14}? 1/15 Calculate prob of sequence iiii when four letters picked without replacement from iiiiii. 1 What is prob of sequence paf when three letters picked without replacement from fffffafpdpddpf? 1/104 Two letters picked without replacement from oiooqioqtoot. What is prob of sequence ot? 1/11 Two letters picked without replacement from unuunfunufuq. What is prob of sequence qf? 1/66 Calculate prob of sequence nc when two letters picked without replacement from {c: 3, n: 3, z: 6, r: 3}. 3/70 Four letters picked without replacement from {t: 9, s: 2}. Give prob of sequence tstt. 7/55 Four letters picked without replacement from gcaooiaogocia. Give prob of sequence gooc. 2/715 Two letters picked without replacement from {o: 4, b: 10}. What is prob of sequence bb? 45/91 What is prob of sequence ss when two letters picked without replacement from {d: 1, c: 2, v: 1, s: 2, b: 2}? 1/28 Calculate prob of sequence zhhf when four letters picked without replacement from hzafzhhaxzxzzh. 5/2002 Two letters picked without replacement from ohhc. What is prob of sequence oc? 1/12 Three letters picked without replacement from yqqpddky. Give prob of sequence dpq. 1/84 Calculate prob of sequence oj when two letters picked without replacement from {s: 1, o: 4, m: 1, j: 5, d: 1, h: 1}. 5/39 Four letters picked without replacement from icliiciociiiixiol. Give prob of sequence llxo. 1/14280 What is prob of sequence zzvz when four letters picked without replacement from pzzzpvzvvpp? 1/110 Four letters picked without replacement from {v: 3, j: 2}. Give prob of sequence vjvj. 1/10 Three letters picked without replacement from {i: 1, n: 2, z: 1, w: 1, u: 1, c: 1}. Give prob of sequence cwu. 1/210 Three letters picked without replacement from fjkptkcp. What is prob of sequence tpk? 1/84 Four letters picked without replacement from {u: 5, f: 8, k: 2, i: 2, e: 2}. Give prob of sequence ukif. 5/2907 What is prob of sequence zee when three letters picked without replacement from {z: 1, e: 6, u: 6, t: 3, f: 1, o: 1}? 5/816 What is prob of sequence nn when two letters picked without replacement from nnnnnnnnnwnnw? 55/78 Calculate prob of sequence xx when two letters picked without replacement from uuuuuuuuxx. 1/45 What is prob of sequence cu when two letters picked without replacement from {u: 3, a: 2, c: 1, l: 6}? 1/44 Three letters picked without replacement from lllyyclcjylrljyyj. Give prob of sequence ljc. 3/340 Four letters picked without replacement from hmhmm. Give prob of sequence hmmm. 1/10 Two letters picked without replacement from {d: 6, l: 7}. Give prob of sequence ll. 7/26 Two letters picked without replacement from mvwwvwmvvwwmvwvvwvv. What is prob of
{ "pile_set_name": "DM Mathematics" }
7 - z. Is o a prime number? False Is (-6052)/(-34)*((-2)/2)/(-2) a composite number? False Let x(a) = -66*a - 1. Let q be x(-4). Let t = q + -424. Let i = 238 + t. Is i composite? True Let f be 3/2 + 3/2. Suppose 2*o - 272 = 4*a - 6*a, 0 = 4*a + 2*o - 536. Suppose a = d + f*d. Is d composite? True Is 24174/27 + 2/(-6) composite? True Let p = -61 - -444. Let y = -220 + p. Is y prime? True Let x = 5 + 0. Suppose -19 = -2*t - x*c, 0*t - 5*t = -2*c - 4. Suppose t*g - 37 = g. Is g a composite number? False Let l = -7278 - -10495. Is l a prime number? True Let u = 3 - 0. Let n be 2/u + 3016/12. Let k = n - 125. Is k a composite number? False Suppose 0 = -11*b + 2515 + 642. Is b a composite number? True Let d(j) = j - 2. Let o be d(7). Suppose o*l + 0*k - 1295 = -5*k, 4*l - 3*k = 1001. Is l a composite number? True Suppose a - 10 = 18. Is 8/a + (-654)/(-14) a prime number? True Let h = -8 + 10. Let f = 95 - h. Is f prime? False Let i be (-80)/(-6) - (-2)/3. Let g(h) = 3*h**3 - 5*h**2 + 10*h - 6. Let y be g(6). Is (-8)/28 + y/i a composite number? False Let f be 2/((-4)/6) + 2. Let w = 12 + f. Is w composite? False Suppose -2*g - 3*g + 555 = 0. Is g a prime number? False Let l = 2 - 3. Let m(i) = -i**3 + i**2 - 1. Let r(f) = -29*f**3 - 6*f**2 - f + 5. Let g(x) = 6*m(x) + r(x). Is g(l) prime? False Let x(o) = -2*o**3 - 6*o**2 - o + 4. Let n(l) = -3*l**3 - 7*l**2 - 2*l + 5. Let m(c) = -6*n(c) + 7*x(c). Is m(3) prime? False Suppose 14*i + 0*i = 9716. Is i composite? True Let x(l) = 20*l**3 + 2*l**2 - 3*l - 2. Is x(3) prime? True Is 1/(-3)*18993/(-13) a prime number? True Let s be 214/(-10) - 2/(-5). Let y be (-417)/(-21) - 3/s. Let l = y + -1. Is l composite? False Suppose 2*w + w = 15. Suppose q - 6*q + w*k + 2660 = 0, -q + 538 = k. Is q composite? True Let v be (2 + -14 - -3)*-135. Suppose -v = -4*t - 155. Is t composite? True Suppose 0 = 2*z - 11 + 3. Is 10/z*608/40 a composite number? True Let z(j) = j + 10. Let o be z(-18). Let t(n) be the second derivative of n**4/12 - n**3/6 + 7*n**2/2 + n. Is t(o) a prime number? True Let u be -1 - (2 + 2 + 1187). Is (1/2)/((-4)/u) a composite number? False Suppose -2*v = 2*v - 452. Is v composite? False Let a = 85 + -546. Let v = -274 - a. Is v a prime number? False Let h(v) = 26*v - 12. Let c be h(8). Suppose -c = -3*d - d. Is d a composite number? True Let n(q) = 2*q**3 + 2*q**2 - q + 2. Let r be n(-2). Let b(f) = -f**2 + f. Let j(s) = 4*s**2 - 11*s - 2. Let y(o) = -6*b(o) - j(o). Is y(r) composite? True Let r = -252 + 443. Is r prime? True Let c(k) = -k**3 + 7*k**2 - k - 2. Suppose -2*u - a = -6*u + 9, 5*a = -5. Let t = u - -3. Is c(t) a composite number? False Suppose 7 = 2*v + 2*y - 7, -17 = -3*v - y. Suppose 3*c - 3 = -2*p, -v*p + 16 = -5*c - 54. Is p a prime number? False Let z be (-5)/(-1)*3/5. Suppose 3*g + l + 109 = 4*g, z*g - l - 319 = 0. Suppose -2*p - g = -7*p. Is p prime? False Let g = -14 - -18. Is (3 + -2 - -114) + g a prime number? False Let l(i) = -i**2 - 7 - 4 + 6*i + 3. Let d be l(6). Is (d - -2)*(-10)/6 a composite number? True Let b = 31 + -125. Let h = -51 - b. Is h a prime number? True Is (-3)/6 + 4047/6 a composite number? True Is 29228/12 + (-10)/15 prime? False Suppose -4*v - 3*r + 1167 = 0, v - 3*r - 124 = 164. Is v a prime number? False Is (40/(-8))/((-1)/127) a prime number? False Let o = 3449 + -1756. Is o a prime number? True Let z(b) = b**3 + 10*b**2 + 9. Let o be z(-8). Suppose 2*c - o = 29. Is c a prime number? True Let s = -30 + 61. Is s prime? True Suppose -z - 3*z = 0. Suppose 0 = -4*h + 3*y + 212, z*y + y + 212 = 4*h. Is h a composite number? False Let w(g) = g**3 + 12*g**2 + g - 1. Let u(o) = -o**2 - 1. Let x(h) = 4*u(h) + w(h). Let l be 315/21*1/(-3). Is x(l) a composite number? True Suppose -10704 = -6*s - 3150. Is s a prime number? True Suppose -2*i = m + 6, 2*m - 2*i = -5*i - 10. Is m/10 - (-580)/25 composite? False Suppose -2*w - 2661 = 4*n - 9031, 5*n - 10 = 0. Is w composite? False Is (-3213)/(-6) + 3 - (-3)/(-6) a composite number? True Let h = 26 - 16. Suppose p - h = o + 26, p - 51 = 4*o. Is p composite? False Let l(u) = 22*u**2 + 9*u - 38. Is l(7) a composite number? False Let j be 6/((-2)/(-16)*-6). Let n be (-226)/(-8)*j/(-2). Let u = n + -46. Is u a composite number? False Suppose -f + 3 = -0*f. Suppose 3*q = -5*d + 806, f*d - 2*q - 169 = 2*d. Is d composite? False Let i = -54 + 96. Suppose v + 5 = i. Is v a composite number? False Let t(g) = 4*g**2 + 8*g - 17. Is t(9) a composite number? False Suppose 0 = 5*s - 0*s - 2705. Is s prime? True Let m(d) = -95*d - 9. Is m(-4) composite? True Let r = -442 + 190. Is 1 - 2 - r/3 composite? False Let n be 9 - ((-4)/2 + 0). Suppose n + 9 = 5*o. Suppose -4*u - 21 - 4 = -s, -o*s + 5*u + 133 = 0. Is s a composite number? False Suppose 5*w + 5*k = 5, -5*w = -3*k - k - 23. Suppose 4*t - 293 = -2*i - 83, 475 = 4*i - w*t. Is i composite? True Let r(n) = 9*n**3 + n**2 - 17*n + 3. Let o(d) = 3*d**3 - 6*d + 1. Let h(m) = 8*o(m) - 3*r(m). Is h(-4) a prime number? True Let f(w) be the third derivative of -w**4/6 - 5*w**3/6 - w**2. Is f(-12) prime? True Suppose 12*r - 10*r = -6. Let p(w) = w**3. Let h(o) = 6*o**3 - o**2 + 2*o - 2. Let q(a) = -h(a) - 6*p(a). Is q(r) a composite number? True Suppose -4*g = g - 25. Let x(n) = 11*n. Is x(g) prime? False Suppose 364 = 3*j - 5*k, 124 + 4 = j - 3*k. Is j composite? False Let s be (-1)/(-6) - (-394)/12. Suppose -2*i - 14 = -2*z, -i + s = 3*z - 0*i. Is 695/z*(0 + 2) a prime number? True Let o(r) = -r**3 - 6*r**2 + 6*r - 7. Let t be o(-7). Let l(y) = t*y**2 - y**2 - 5*y - 2*y + 1. Is l(-5) prime? True Is 319/4 + (-27)/36 composite? False Let q(w) = -w**2 - 1. Let u be q(0). Let t be 1/(-1*(0 - u)). Is 3*(t - 160/(-6)) prime? False Suppose 2 = d - 0, 3*g - 40 = -5*d. Let z = -4 - -8. Is (g/(-3))/(z/(-102)) a composite number? True Is 65542/26 - (-16)/104 a composite number? False Let m = -3000 - -2063. Let t = -434 - m. Is t prime? True Let s(w) = 22*w - 11. Is s(9) a prime number? False Suppose -2*t + 2 = -2*w, -5 = -3*w + 4. Suppose m + 1 - t = 0. Suppose 5*i - m*i = 94. Is i a composite number? False Suppose 3*x - 4*o = 374, o = -4*x - 4*o + 447. Is x composite? True Suppose -4*r + 2514 + 74 = 0. Is r prime? True Let h be 70/21*12/10. Suppose 4*f - 5*x = 3*f - 1, 0 = -4*f - h*x - 28. Is (2/f)/(2/(-1398)) prime? True Let u be ((-6)/8)/((-10)/(-120)). Let n be 10 + 6/(-3) - 0. Is (u + n)*-31*1 a prime number? True Let d(b) = 83*b**2 + 9*b - 23. Is d(3) a prime number? True Let k be 11/((4 + -2)/28). Suppose -4*g - 3*u + 307 + 53 = 0, 4*g = 2*u + 340. Let y = k - g. Is y a composite number? False Suppose -3*q + 393 = -5*a, -4*q + 393 = 4*a - 131. Is q a composite number? False Let u = 2 - -3. Suppose -u*s + s = -844. Is s a prime number? True Suppose 2*k - k - 349 = 0. Suppose k = 2*a - 21. Is a composite? True Suppose -12 = -4*s + 60. Let v = 107 - s. Is v a prime number? True Let o = 530 - 85. Is o a composite number? True Let z be (6/(-2))/(-3)*-3. Let h be z/(-2*(-6)/(-256)). Let j = 15 + h. Is j composite? False Suppose 5*l = -5*h + 5415, -2*l + 2*h + 2150 = -0*l. Is l a composite number? True Let o(k) = k**2 - k + 22. Let v be o(0). Suppose 2*b - 4*q - v = -b, 0 = -5*b + 2*q + 18. Suppose -b = -i + 31. Is i a composite number? True Let q(l) = 26*l**2 - l + 11. Is q(-6) prime? True Let z(u) = u**3 + 4*u + 10*u**2 - 2*u**2 + u - 7. Is z(-7) a prime number? True Suppose 4*x = 2*k + 6706, -x - 4*k = -0*x - 1699. Is x a prime number? False Is 10/(-2) + (1030 - 18) a prime number? False Let t = 1341 - -4508. Is t a prime number? True Let a(b) = 1. Let q(h) = 16*h**2 - 8*h - 6. Let g(z) = 5*a(z) + q(z). Is g(-6) a prime number? False Let f(w) = w**3 + 7*w**2 + w + 9. Let g be f(-7). Suppose 5*x + 66 = -q, -2*q - 204 = g*q + 5*x. Let j = q + 65. Is j composite? False Suppose 0*f - f - 5*q = 0, -5*f = -4*q. Let k = -11 + 11. Is k + f + (-158)/(-2) a prime number? True Suppose 0 = -3*b - 4*k + 80, 0*b - b - 5*k + 45 = 0. Let t(c) = 25*c - 3 + b*c + 4*c. Is t(2) prime? False Let c(k) = -k**3 + 14*k**2 - 7*k - 14. Let a be c(12). Suppose -4*m - m + a = 0. Is m a composite number? True Suppose -4*w = v + 12 + 11, 5*v = 2*w + 39. Let b(j) = -j. Let g be b(w). Suppose -g = -z - 4, 5*z = -q + 104.
{ "pile_set_name": "DM Mathematics" }
Let z = 20 + -17. Let t be a(z). Solve 0 = t*m - 5*m + 12 for m. 4 Suppose 2*z - 3*z - 409 = 5*l, 0 = -5*l + 2*z - 412. Let o = 134 + l. Suppose 3*n = 4*h + 68, -5*n + 154 = -h + o. Solve 0 = -0*u + 5*u - n for u. 4 Let h = -5 - -9. Let a be (-6)/h*(-10)/3. Suppose 2*o - 6 = -3*m + 1, 20 = a*o + 5*m. Solve -2*k + 9 = -o*k for k. -3 Suppose 0 = 2*d - 2 - 2. Suppose s = -d*s. Solve s*m = -m for m. 0 Suppose 0 = -3*v + 10 - 4. Suppose 0*t = -n + t - 6, 4 = n + t. Let z = 3 + n. Solve -v*s = z*s for s. 0 Let b be 22 + (-7)/(7/2). Let d be ((-75)/b)/((-6)/16). Solve -3*k + d - 1 = 0 for k. 3 Let y = -17 - -11. Let f be (8/24)/((-1)/y). Solve -2*w - f - 4 = 0 for w. -3 Let i = -51 - -71. Solve 8*l + i = 3*l for l. -4 Let f(n) = -n - 3. Let j be f(6). Let s be (-93)/j - 3/9. Let k = -5 + s. Solve -k = 3*p + 2*p for p. -1 Suppose -f = 4*f - 20. Suppose 5*y - 4 + 0 = -4*h, 5*h - 5 = f*y. Solve -q + 2*q = y for q. 0 Let t(n) = -n + 18. Let m be t(13). Solve 0 = -m*s + 5 + 5 for s. 2 Let q(h) = -h - 1. Let c be q(-5). Let i(d) = 2*d**2 - d + 1. Let t be i(1). Let j = 9 - t. Solve j = -c*x - 9 for x. -4 Suppose -4*u - 5*l - 10 = -u, -l - 30 = -5*u. Suppose 5*a - 6 = -3*s, 3 - u = -s. Suppose -w - 3*w = a. Solve w = 2*v - v - 2 for v. 2 Suppose 5*v - 30 + 10 = q, 0 = 2*v + 3*q + 9. Let w be (-4)/(0/4 - 2). Suppose u = 4*u. Solve u = -r + w - v for r. -1 Suppose 5*k = k + 100. Suppose 0 = 3*r - r - 24. Let b be 10/4*r/5. Solve m = b*m + k for m. -5 Let d(k) = 7*k - 2. Let t be d(1). Solve -2 + t = 3*u for u. 1 Suppose 3*u = -2*c - c + 24, -34 = -5*c - 3*u. Suppose -5*l + 80 = -c*x + 30, -5*l = 3*x - 90. Solve -j + 4*j + l = 0 for j. -5 Suppose -2*y - 4*i - 6 = 0, 3*y + 27 = 7*y - 5*i. Suppose 2*q + q - 2*k = 0, -5*k + 23 = 4*q. Let m = -9 - -19. Solve m = -y*s - q*s for s. -2 Suppose 7 = 5*n + 3*j, 0*j - 3*j = -3*n + 9. Let w be -16 + (1 - n) - 3. Let y be (-12)/w + 24/10. Solve 8 = y*l - 4 for l. 4 Let f(z) = 3*z - 8. Let b be f(4). Solve b*s = 19 - 3 for s. 4 Let a(u) = 7*u + 8*u**2 - u**2 - 3*u**2 - 5*u**2 + 9. Let t be a(8). Solve -n = t - 0 for n. -1 Suppose 3*c + 1 = 7. Solve 0*n + c*n + 4 = 0 for n. -2 Let x = 105 - 100. Solve -2*t + x = -1 for t. 3 Let q(c) = -80*c. Let m be q(-1). Suppose 2*l = 6*l - m. Solve l = -4*v - 0 for v. -5 Let u(p) = p**2 - p. Let d(b) = 5*b**2 + 2*b + 5. Let z(h) = -d(h) + 4*u(h). Let w be z(-5). Solve w = -v - 3 - 2 for v. -5 Let w be ((-13)/39)/(2/(-18)). Solve l + w*l = -16 for l. -4 Suppose 0 = b + 5*b - 96. Suppose 0 = u + 2*j + 8, j - 1 = -3*u. Solve -2*i = u*i + b for i. -4 Let r = -96 - -100. Solve 7 - 11 = r*t for t. -1 Let s be (-21)/(-14) + (-6)/(-4). Solve -s*k = k for k. 0 Let m = 9 - 30. Let g be (m/(-14))/((-1)/4). Let x = g + 9. Solve -x*j + 2*j = 0 for j. 0 Suppose f - 17 = -3*l, 10 - 15 = -l. Solve -f*p - 10 = -0*p for p. -5 Let a be 12/42 + 141/21. Solve -a = 3*u - 4 for u. -1 Suppose -35 + 10 = -5*t, 0 = 5*v + 2*t - 25. Suppose 0 = d + v*u + 1 - 5, -4*d + 16 = 4*u. Solve -a - d*a + 5 = 0 for a. 1 Suppose -3*i = 4*k - 21 + 4, -3*i + 3*k + 24 = 0. Solve -2*q - i = -11 for q. 2 Let a = 5 - 11. Let l be 12 - 2 - a/(-2). Solve 2 - l = -o for o. 5 Suppose -24 = -0*j - 4*j. Let t be 7/5 - (-3)/5. Suppose -j*y = -t*y. Solve 4*s + s = y for s. 0 Let k(c) = -7*c**2 - 3*c + 5. Let z be k(5). Let o be z/(-25) + 6/10. Solve o = -0*x - 4*x for x. -2 Let u be (-8)/(-28) - ((-94)/14 - -3). Solve u*y + 16 = 4 for y. -3 Suppose 2*b + 2*w = -1 + 11, 2*b - 10 = -4*w. Solve 7 = b*i - 3 for i. 2 Suppose f = 4 + 1. Let h be (2/2)/((-840)/(-119) - 7). Solve h - f = 3*j for j. 4 Suppose 0*w + w - 3 = 0. Let i(m) be the second derivative of -m**4/12 + 5*m**3/6 - 2*m**2 + 2*m. Let l be i(w). Solve l*h + 5 = h for h. -5 Let y be -3*(3 - 2) + 8. Solve y*q = -4 + 24 for q. 4 Let g be 8/(-10)*(-1 + -9). Let d = g - 8. Solve -3 = 3*p - d for p. -1 Suppose 5*i - 5 = 10. Suppose -i*h = -h. Suppose 2*b - 5*u + u = -4, h = -2*b + u + 5. Solve b*d = -d for d. 0 Let s = 64 + -46. Suppose 2*o = -5*b + s, 3*b - 4*o - 2 = -12. Solve b*p = -2*p for p. 0 Let d = 14 - 15. Let i be d/3*(14 - 29). Solve -i*s - 25 + 0 = 0 for s. -5 Let h = 53 + -33. Let s(y) = y**3 - 4*y**2 + 5. Let v be s(4). Suppose -15 = 5*k - v*g - 45, 0 = 5*k + 5*g - h. Solve q = k*q + 4 for q. -1 Let i = -17 - -8. Let g be -20*(-2 + (-22)/(-8)). Let a = i - g. Solve a = -h + 4*h for h. 2 Suppose 2 = 4*t - 6. Let r be ((-2)/(-1 - -2))/(-2). Suppose 0 = -3*z + 2 + r. Solve z = -3*y - t for y. -1 Suppose 3*m = 2*g + 7, 5*g - 2 = m - 0*m. Let z be (-36)/6*m/(-6). Solve -4*i = -z*i - 4 for i. 4 Suppose -3*a - a - 4*o = -32, -2*a + 11 = o. Solve q + 2*q = -a for q. -1 Suppose -3*x + 0*x + 15 = 0. Let r = -1 + x. Solve -r = -2*o - 0 for o. 2 Suppose p - 3 = -1. Solve -2*o = -2 - p for o. 2 Let v be (-9)/(13 - 4) - -5. Let i(w) = 2*w - 4. Suppose 3*p - 3 - 6 = 0. Let y be i(p). Solve -y = v*j + 10 for j. -3 Let n be 13*(-2 + 3 + 0). Suppose -7*u = -2*u - 3*c - n, 5*c = -5. Solve -u*h + 3 = 11 for h. -4 Let k be (-14)/(-3) + (-2)/3. Suppose 0 = 5*z - 5*i - 10, z + 1 - 6 = k*i. Let d = z + 1. Solve -2*b + 2 = -d for b. 2 Let v = -31 + 45. Solve 5*w = -v - 1 for w. -3 Let n be (2/(-4))/((-2)/4). Suppose 4*a + 5 = n. Let s = 4 + a. Solve 5*o - 2 = s*o for o. 1 Let o(b) = 3*b**2 - 15*b + 5. Let k be o(5). Solve -i - 16 = -k*i for i. 4 Let g be 0 + 0 - (-1 - 16). Suppose 3*s = 5*n + 6, 4*s - 4*n + n = 8. Suppose -5*d + 3*v = -0*v - 32, s*d - g = -3*v. Solve 2*a = d*a - 20 for a. 4 Suppose -19 = -5*u - 4, -3*u - 53 = 2*o. Let y = 51 + o. Solve 2*r = -3*r + y for r. 4 Suppose -3 = o - 3. Solve -3*d - 9 + o = 0 for d. -3 Let i(f) = f**2 + 7*f - 28. Let u be i(-10). Solve -u*n = 2*n - 4 for n. 1 Let t = -33 - -53. Let d be ((-116)/6)/(4/(-6)). Suppose -34 = 4*a - 7*a + 5*c, -3*a + d = -4*c. Solve 2*p - t = -a*p for p. 4 Let j = -8 - -7. Let p be (4 - 5)/(j/5). Solve -r = -p*r + 12 for r. 3 Suppose 4*k - 5*y - 121 = 0, 0 = -4*k - k - 3*y + 105. Suppose 2*m + m - 16 = -2*w, 2*m = -4*w + k. Let h be ((-4)/5)/(m/(-10)). Solve -11 = -3*d + h for d. 5 Suppose 0*l - 20 = -3*q + 2*l, 3*l + 20 = 2*q. Solve -3*k = q - 1 for k. -1 Let l be (1 + -4)*(0 - 3). Solve 7*h - l = 4*h for h. 3 Suppose -q - 1 = d + 1, -12 = 3*q. Solve -3*p = d*p + 25 for p. -5 Let n(c) = 2*c - 4. Let z be n(3). Suppose 4*l - 24 = -4*s, 3*l - z*s = 7 + 11. Solve 3*x - l = -0*x for x. 2 Let m = 4 - 2. Suppose 4*g - 32 = 3*p, 4*g + 0*p = m*p + 28. Solve 0 = g*z - 12 - 8 for z. 4 Suppose -2*q = -7*q - 5. Let f be (4/(-10))/(q/10). Solve -f*c = -c - 3 for c. 1 Let h = 31 - 18. Suppose 5*v - 7 - h = 5*o, -o - 3*v + 12 = 0. Solve -i + 1 - 4 = o for i. -3 Let f(p) = 0*p**3 + 0 + 7 + 7*p**2 + p**3 + 5*p - 1. Let i be f(-6). Solve -i = -g + 5*g for g. -3 Let c be 7 + (-2)/((-6)/(-3)). Let o = -5 + c. Solve v - o = 2 for v. 3 Let f be (-2)/((16/20)/(-2)). Solve -f = 3*j + 2*j for j. -1 Suppose 3*o - 5*x = -101, -5*o - 78 = -4*x + 86. Let i = -12 - o. Solve 10*h - i = 5*h for h. 4 Let h = -80 - -82. Solve 2 = -h*a - 0 for a. -1 Suppose -4*i + 2 = -6. Suppose -2*o + d + 3 = 0, -5*d = -i*d - 3. Let h = o + 1. Solve 0 = h*w - 0 - 15 for w. 5 Suppose -2*y + 5 = -5. Solve -y*u + 4 + 6 = 0 for u. 2 Suppose 0 = 2*o + 3 - 13. Suppose -3*i = -i + 5*g + 25, g + o = 5*i. Solve i = -4*l - 9 - 7 for l. -4 Let n(x) = 6*x - 1. Let w be n(1). Solve w*h = 22 - 2 for h. 4 Let d be (-303)/33 + 8/44. Let m(r) = r**2 + 10*r + 10. Let w be m(d). Solve -2 = -y - w for y. 1 Let p(j) = -3*j - 32. Let d be p(-13). Solve 18 + d = -5*n for n. -5 Suppose 5*x = -3*k + 42, 2*k + 10 = x + k. Solve -x*c - 5 = -4*c for c. -1 Suppose 2*s = -3*t - 2*t + 34, -t = 4*s - 14. Suppose t*q = 10*q. Solve q = -0*l - 3*l + 9 for l. 3 Let f be (-2 - -2)/(1 - 3). Solve 3*r - 5*r - 4 = f for r. -2 Suppose -3*h + 0*h - 18 = 0. Let w = -6 - h. Let t be w/(-2)*1/2. Solve -j + 4 + 0 = t for j. 4 Suppose -260 = -5*p + 5*k, 0 = 7*p - 2*p + 2*k - 232. Suppose -5*t + 2*t = -p. Solve z + 3*z = -t for z. -4 Suppose -y - 2*y = -69. Suppose -h = 4*a - 16, -2*a - y = -2*h - a. Solve -3*j + h = -0 for j. 4 Let s = -82 + 82. Solve s = b - 2 - 0 for b. 2 Let b(k) = k**3 - 10*k**2 + k - 7. Let o be b(10). Solve -o = -z + 2 for z. 5 Suppose x + 0 = -1, u - 4*x = 8. Let v(t) = t - 3*t**2 + 9 - 2*t + u*
{ "pile_set_name": "DM Mathematics" }
6*y - 9 = 0. Let c = 15 + 12. Suppose 6*k - c = y*k. List the prime factors of k. 3 Let h = -113 - -33. Let u = -43 - h. What are the prime factors of u? 37 Let o(c) = c**3 - c - 2. What are the prime factors of o(3)? 2, 11 Suppose 0 = -4*x + 2*x - 3*b + 96, -x = 5*b - 55. Suppose -a + x = 4*a. What are the prime factors of a? 3 Suppose 6*l - 744 = -0*l. List the prime factors of l. 2, 31 Let q(t) = -t**3 - t**2 + t - 1. Let r be q(0). Let u(m) = -5*m + 7*m - 6*m - 4*m. What are the prime factors of u(r)? 2 Let r(m) = -m**3 + 4*m**2 + 8*m - 6. Let z(v) = -v**3 + 4*v**2 + 2*v - 2. Let q be z(4). Suppose -25 = -q*x + x. What are the prime factors of r(x)? 3 Suppose 4*y = 4*v + 6*y - 50, -30 = -v + 3*y. Suppose -5*q - 3*o = -8*o + 75, -5*o = -q - v. Let d = q + 29. List the prime factors of d. 2, 7 Suppose o - 4 = 2*p - 1, 4*p = 0. List the prime factors of o. 3 Let c be (-15)/6*-2*2. List the prime factors of (1 - 0)*(c - 5). 5 Suppose 0 = -r - 3*r. Suppose 3*u + 5*t - 30 = r, 0 = -u + 5*u + t - 40. List the prime factors of u. 2, 5 Let x = 0 - -3. Let b(m) = 7*m**2 + 11*m - m**x - 11*m + 9. List the prime factors of b(7). 3 Suppose 0 = -0*h - h + 14. Suppose -a - 3*q = -22 - h, -3*q = -3*a + 60. List the prime factors of a. 2, 3 Suppose 0 = z + 5*d + 9 + 4, -4*z = 2*d - 20. What are the prime factors of z? 7 Suppose -3*h = -2*k - 240 - 306, 4*h - 728 = k. List the prime factors of h. 2, 7, 13 Suppose 0 = -3*q - 2*q - z + 64, -2*z - 15 = -q. What are the prime factors of q? 13 Let y(s) = 4. Let b(a) = a - 1. Let l(q) = b(q) + y(q). Suppose 1 - 25 = -4*r. What are the prime factors of l(r)? 3 Let m be 174/(-24) + 2/8. Let i = -9 - -28. Let w = m + i. List the prime factors of w. 2, 3 List the prime factors of 393/(-9)*-2 - (-1)/(-3). 3, 29 Let m(d) = -d**2 + 8*d - 2. Let l be m(6). Let u = -4 + l. Suppose 0 = -x - 1 + u. What are the prime factors of x? 5 Let h = 8 - 10. List the prime factors of ((-8)/(-6))/h*-12. 2 Let u = -67 - -123. List the prime factors of u. 2, 7 Suppose 0 = -5*g - w - 0 + 4, 5*g - 3 = -2*w. Let v be (g/(-2))/((-5)/90). Let b = v + -7. What are the prime factors of b? 2 Suppose 4*i = -2*s + 6, -2*i + 4*s = 5 - 3. Let x be 1/2*(-1 - i). What are the prime factors of 9 + (0 - 1/x)? 2, 5 Let g(j) = 2*j**3 - 2*j**2 + 5*j + 1. List the prime factors of g(4). 3, 13 Let v(n) = -12*n. Let w(b) = -b - 1. Let h(r) = -v(r) + w(r). What are the prime factors of h(1)? 2, 5 Let s = -11 - -15. Suppose -j + 1 = s*u + 6, 2*u = 4*j - 52. List the prime factors of j. 11 Let f(l) = -8*l**2 + 2*l - 2. Let b be f(2). Let v = b + 13. Let g = v + 24. List the prime factors of g. 7 Suppose 0 = 4*q - 2*x + 74, -x = 3*x + 20. Let m = -3 - q. List the prime factors of m. 2, 3 Let x(j) = -j + 3. What are the prime factors of x(-5)? 2 Let x = 5 + 14. Let t = 31 - x. List the prime factors of t. 2, 3 Suppose -q - q + 2 = 0. Let o(u) = u. Let x(p) = 1. Let d(i) = q*o(i) - 2*x(i). What are the prime factors of d(6)? 2 Let j = -352 - -498. What are the prime factors of j? 2, 73 Suppose 3*i = v + 3*v - 11, -2*i = 2*v + 12. What are the prime factors of v - (-13 + 0 + -1)? 13 Suppose 3*m - 6*m - 30 = -3*k, -5*k - 2*m + 71 = 0. Suppose y = -3*y + s - 4, 2*y - 16 = -4*s. What are the prime factors of -1 + k + y + 1? 13 Let h(u) = u**2 - 7*u - 12. Let r be h(9). What are the prime factors of (-3)/1*(-20)/r? 2, 5 Let w = 4 - 1. Suppose w*x - 5 + 2 = -c, -5*c = 2*x - 15. Let g(y) = -y**3 + 3*y**2 + 2*y + 4. List the prime factors of g(c). 2, 5 Let i(h) = h**2 + 4*h - 13. List the prime factors of i(-10). 47 Let w be 2*-2*3/12. Let y be (-2 - (-2 - 1)) + w. Suppose -5*t + y*t = -15. List the prime factors of t. 3 Let i(q) = q**3 - 20*q**2 - 29*q - 58. List the prime factors of i(22). 2, 17 Suppose -5*d + 0*r = 2*r - 77, -3*r + 5 = d. List the prime factors of d. 17 List the prime factors of (-6 + -1)/(2/(-12)). 2, 3, 7 Suppose 4*k = 3*d + 2*d + 74, -4*k = -4*d - 56. Let w be (-6)/(2/2*-1). List the prime factors of 12/d - (-16)/w. 2 Let f = -67 - -101. What are the prime factors of f? 2, 17 Let z = 66 + 1. List the prime factors of z. 67 Let z(t) = -t + 8. Let i be z(-6). What are the prime factors of (i/(-6) - 0)*-6? 2, 7 What are the prime factors of (-21)/(-2*12/56)? 7 Suppose 5*i - 2*i = 6. Suppose g + 5 = i. List the prime factors of g - (19/(-1) + 1). 3, 5 Let w(z) = -2 + 2 - 5 + 4 - 6*z. List the prime factors of w(-1). 5 Let a be 3/4 - (-3)/12. Let c be -2 - a - (-6)/(-1). Let i(j) = -j**3 - 8*j**2 + 7*j - 13. List the prime factors of i(c). 5 List the prime factors of (724/10)/((-1)/(-5)). 2, 181 Let x(q) = -q - 10. Let w be x(-7). Let h be (-13)/w - 1/3. Suppose h*c + 5*b = 12 + 1, c = 2*b + 13. List the prime factors of c. 7 Let c be ((-2)/(-3))/(2/33). Suppose 0 = b - 3*b + 6. Suppose -b*d + 22 = -c. What are the prime factors of d? 11 Let y be 189/39 + (-6)/(-39). What are the prime factors of -2 - (-2 - (y + 1))? 2, 3 Let c(v) = 18*v**2 - 2*v + 1. Let b be c(1). Let o = b + -13. List the prime factors of o. 2 Let z be (-3)/(-18) + 82/12. Let a = z - 3. Suppose 5*w = a*t + w - 24, 6 = t - 4*w. What are the prime factors of t? 2, 3 Suppose 4*l + 9 = 93. Let q = 50 - l. List the prime factors of q. 29 Let c be (235/(-10))/((-2)/4). Let g = c + -33. List the prime factors of g. 2, 7 Let y = 50 - -179. Suppose -5*u + y = -3*q, 0 = -0*u - 5*u - 4*q + 243. What are the prime factors of u? 47 Suppose 0 = -2*a - 0 + 8. Let t = a - 0. List the prime factors of t. 2 Suppose 27 = 2*k - 13. What are the prime factors of k? 2, 5 What are the prime factors of (-4030)/(-143) - (-2)/(-11)? 2, 7 Let a(y) = -y**3 + 6*y**2 - 5*y + 2. Let v be a(5). Let s be 3 - ((-2)/1)/v. Suppose s*d = -0*d + 16. List the prime factors of d. 2 Suppose 5*g + 0*g = -25. Let a(t) = t**3 + t**2. Let n(l) = -3*l**3 - 7*l - 2. Let j(m) = 4*a(m) + n(m). What are the prime factors of j(g)? 2 Let v = 233 + -122. What are the prime factors of v? 3, 37 Suppose 0 = -3*w + 2*w + 30. List the prime factors of w. 2, 3, 5 Let f be 15/(-4) - (-7)/(-28). List the prime factors of ((-2)/f)/(1/4). 2 List the prime factors of ((-30)/50)/(2/(-410)). 3, 41 Let z(r) = 2*r**3 + 6*r**2 - 4*r + 6. Let v(s) = -s**3 + s. Let j(m) = -3*v(m) - z(m). Let h be j(6). Let t(x) = x**3 + 5. What are the prime factors of t(h)? 5 Suppose 3*v + 5*d - 32 = 0, d = -5*v + 57 + 33. What are the prime factors of v? 19 Suppose -3*j - 5*u - 44 = -539, -4*j + 3*u + 631 = 0. What are the prime factors of j? 2, 5 Let t be 4/2 - 2/(-2). Let w(o) = o**2 + 5*o - 7. What are the prime factors of w(t)? 17 Let o(g) = -g + 4. Let f = 2 + 5. Suppose 2*p = f*p. List the prime factors of o(p). 2 Let h(z) = -z**3 - z + 1. Let t(u) = 7*u**3 + 4*u**2 + 8*u - 5. Let j(p) = 6*h(p) + t(p). List the prime factors of j(-3). 2 Suppose 4*l = 3*l + 5. Let s = -2 + l. What are the prime factors of s? 3 Let g(c) = -c**2 + 25*c + 43. What are the prime factors of g(23)? 89 Suppose 7*i - 372 = 97. What are the prime factors of i? 67 Suppose 15 = 3*n, l + 3*n - 115 = -43. Suppose 4*f - l = -1. What are the prime factors of f? 2, 7 Suppose 4*u = -4*x + 116, 2*x + 5*u = 4*x - 23. Let r = x - 11. Let k = -7 + r. List the prime factors of k. 2, 3 Let f(p) = -p**2 - 9*p - 5. Suppose 0*j + 2*t + 32 = -4*j, 5*t - 4 = 4*j. Let s be f(j). Let q = s + -3. What are the prime factors of q? 2, 5 Let j be ((-2 - 0) + 25)/(-1). Let l = -37 + 3. Let q = j - l. List the prime factors of q. 11 Let t(z) = z**3 - z**2 + z + 2. Let n be t(0). Suppose -n*p - 4*k + 8 = 0, -4*p = 2*k - 16 - 0. Suppose 0 = c + p*c - 45. List the prime factors of c. 3 Let i be (-1)/2 + (-2)/4. Let t(x) = 4*x**2 - 1. List the prime factors of t(i). 3 Let o(y) = -y - 4. Let n be o(-9). Suppose n*k = 5*l + 1 - 41, -4*k = -l + 20. List the prime factors of l. 2 Suppose 4*u - 116 = -2*h - u, -5*u = -20. List the prime factors of h. 2, 3 Let x be 1/(-4) + 21/4. List the prime factors of x - -1 - (6 - 6). 2, 3 Let m = 10 + -9. What are the prime factors of m*(0 - (-11 + -2))? 13 Let c(r) = r**3 + 7*r**2 + 7*r + 8. Let u be c(-6). Suppose 7 = u*o + 1. Suppose 0*m + 4*m = o*t + 48, 0 = -3*t + 12. What are the prime factors of m? 3, 5 Suppose 2*m = m + 24. Let w = m + -12. What are the prime factors of w?
{ "pile_set_name": "DM Mathematics" }
t replacement from hvkvqfvvvvkvekvvvf. Give prob of sequence kkqh. 1/12240 Two letters picked without replacement from {g: 7, v: 5}. What is prob of sequence gg? 7/22 Four letters picked without replacement from {k: 2, w: 5}. What is prob of sequence wkkw? 1/21 Two letters picked without replacement from mshmjmf. Give prob of sequence sj. 1/42 Three letters picked without replacement from vwwvevwtwwrvee. What is prob of sequence erv? 1/182 Calculate prob of sequence yahy when four letters picked without replacement from {q: 2, y: 2, a: 1, i: 1, z: 1, h: 2}. 1/756 Calculate prob of sequence gggp when four letters picked without replacement from {p: 15, g: 3}. 1/816 Three letters picked without replacement from gbuvuuuv. What is prob of sequence bgu? 1/84 Calculate prob of sequence yyy when three letters picked without replacement from yymmmmymmm. 1/120 What is prob of sequence dwd when three letters picked without replacement from {w: 2, v: 2, p: 1, d: 2, e: 1}? 1/84 Three letters picked without replacement from ddffgdddqdddgddfb. Give prob of sequence dfd. 9/136 Three letters picked without replacement from {z: 6, l: 1, s: 7}. What is prob of sequence lss? 1/52 Three letters picked without replacement from szzzztttzzdtzzztz. What is prob of sequence tdz? 5/408 Two letters picked without replacement from rrtzrrtrtrrlrtrrr. What is prob of sequence zt? 1/68 Two letters picked without replacement from {n: 2, z: 1, u: 1}. Give prob of sequence nu. 1/6 Three letters picked without replacement from {b: 3}. What is prob of sequence bbb? 1 What is prob of sequence bf when two letters picked without replacement from afcfawfbaaf? 2/55 Two letters picked without replacement from ttwooowotot. What is prob of sequence tt? 6/55 Two letters picked without replacement from {q: 1, x: 1, p: 1, u: 1, o: 1}. Give prob of sequence ox. 1/20 Calculate prob of sequence gg when two letters picked without replacement from rggrrrgr. 3/28 Two letters picked without replacement from {w: 5, o: 3, y: 2}. What is prob of sequence yy? 1/45 Four letters picked without replacement from {w: 7, x: 5, n: 2, k: 1, m: 1, l: 1}. Give prob of sequence kmwx. 1/1632 Calculate prob of sequence mvma when four letters picked without replacement from mvavvfmamvvvmavvvaf. 3/646 What is prob of sequence na when two letters picked without replacement from zzaepezenzezeez? 1/210 What is prob of sequence znnn when four letters picked without replacement from {z: 5, n: 15}? 455/3876 Two letters picked without replacement from rcp. Give prob of sequence rp. 1/6 What is prob of sequence rv when two letters picked without replacement from {m: 2, b: 2, w: 1, r: 1, v: 2, i: 7}? 1/105 Two letters picked without replacement from {d: 8, x: 2}. What is prob of sequence xd? 8/45 Three letters picked without replacement from {g: 4, d: 9, l: 2, b: 3}. What is prob of sequence gdg? 3/136 Calculate prob of sequence nk when two letters picked without replacement from xeznkan. 1/21 What is prob of sequence hkk when three letters picked without replacement from {k: 11, h: 5}? 55/336 Four letters picked without replacement from {n: 6, w: 5, v: 3, r: 2, o: 1, d: 2}. What is prob of sequence dwov? 5/15504 Four letters picked without replacement from {f: 8, c: 1, z: 2, n: 4}. What is prob of sequence nzcf? 8/4095 Calculate prob of sequence djnf when four letters picked without replacement from njsndsjsfnfsiin. 2/4095 Three letters picked without replacement from oooooomomoomoo. What is prob of sequence omo? 55/364 Calculate prob of sequence tf when two letters picked without replacement from ttftfftftfff. 35/132 What is prob of sequence pnc when three letters picked without replacement from {n: 1, c: 4, i: 7, p: 4, q: 1}? 1/255 Two letters picked without replacement from hrrrhrr. Give prob of sequence hh. 1/21 What is prob of sequence wwwm when four letters picked without replacement from {m: 7, w: 4}? 7/330 Two letters picked without replacement from hzzhhggbzq. What is prob of sequence bq? 1/90 What is prob of sequence ocoq when four letters picked without replacement from ocqcoocqocoooo? 8/429 What is prob of sequence uup when three letters picked without replacement from buufpuuub? 5/126 Calculate prob of sequence xsp when three letters picked without replacement from sxppspspsxspxxp. 4/91 What is prob of sequence mz when two letters picked without replacement from imzvwovim? 1/36 What is prob of sequence hhhh when four letters picked without replacement from {h: 5}? 1 Calculate prob of sequence srns when four letters picked without replacement from {q: 1, w: 1, r: 1, n: 1, s: 4}. 1/140 What is prob of sequence zff when three letters picked without replacement from {f: 7, z: 9}? 9/80 Three letters picked without replacement from {x: 2, s: 2, p: 5, f: 4, c: 4}. What is prob of sequence xfc? 2/255 Calculate prob of sequence ppp when three letters picked without replacement from {k: 1, j: 1, p: 1}. 0 What is prob of sequence rri when three letters picked without replacement from {i: 12, r: 7}? 28/323 Calculate prob of sequence ross when four letters picked without replacement from oseoeumeroee. 0 Two letters picked without replacement from zrmmrrzrrrrzmrmm. What is prob of sequence mz? 1/16 What is prob of sequence kycq when four letters picked without replacement from yqckk? 1/60 Calculate prob of sequence wiii when four letters picked without replacement from {i: 3, w: 15}. 1/816 Four letters picked without replacement from {d: 2, e: 5, j: 13}. What is prob of sequence ejje? 26/969 What is prob of sequence td when two letters picked without replacement from {t: 5, c: 3, d: 1}? 5/72 What is prob of sequence cxo when three letters picked without replacement from {c: 2, o: 1, z: 1, l: 1, x: 2}? 2/105 What is prob of sequence oos when three letters picked without replacement from {o: 15, s: 3}? 35/272 What is prob of sequence sqqs when four letters picked without replacement from {a: 3, q: 7, s: 6, v: 1}? 3/136 Calculate prob of sequence ih when two letters picked without replacement from iihhihiiih. 4/15 Four letters picked without replacement from vpvvvvvvvvpvvvpv. Give prob of sequence pppv. 1/560 Calculate prob of sequence st when two letters picked without replacement from {b: 6, s: 1, n: 1, u: 3, t: 1}. 1/132 What is prob of sequence vvo when three letters picked without replacement from oovovo? 1/15 Four letters picked without replacement from {e: 4, q: 5, y: 3}. Give prob of sequence eqyq. 2/99 Three letters picked without replacement from cgccgiic. Give prob of sequence ccg. 1/14 What is prob of sequence xxes when four letters picked without replacement from {e: 12, x: 2, s: 5}? 5/3876 What is prob of sequence hz when two letters picked without replacement from ezwhwh? 1/15 What is prob of sequence ppw when three letters picked without replacement from zpwzzpwpwzwpwww? 2/65 Two letters picked without replacement from uuuuuyuuuyuu. Give prob of sequence yy. 1/66 What is prob of sequence brb when three letters picked without replacement from {m: 1, r: 1, b: 2, c: 2}? 1/60 Two letters picked without replacement from {q: 5, j: 9}. What is prob of sequence jq? 45/182 Two letters picked without replacement from allknnl. What is prob of sequence ak? 1/42 Two letters picked without replacement from bjb. What is prob of sequence bb? 1/3 Three letters picked without replacement from ykkykykkykkkkykkkk. What is prob of sequence kyk? 65/408 Calculate prob of sequence ph when two letters picked without replacement from {p: 5, h: 7}. 35/132 Four letters picked without replacement from tzztz. What is prob of sequence tztz? 1/10 Two letters picked without replacement from nliiiniiiliiiniiiil. Give prob of sequence li. 13/114 Calculate prob of sequence nr when two letters picked without replacement from {n: 6, a: 4, r: 3, w: 4}. 9/136 Two letters picked without replacement from szjjaszcjj. Give prob of sequence cz. 1/45 Two letters picked without replacement from {p: 2, y: 1, z: 1, c: 1, r: 1, l: 2}. Give prob of sequence zp. 1/28 What is prob of sequence uzzz when four letters picked without replacement from zzzuuuuzzu? 5/84 Two letters picked without replacement from pttpjpptrpponnpptttj. Give prob of sequence jp. 4/95
{ "pile_set_name": "DM Mathematics" }
12, -0.3, 3/4, -3? -3 Which is the fifth biggest value? (a) -0.2 (b) 3 (c) -0.13 (d) -0.9 (e) -0.4 d Which is the smallest value? (a) 0.3 (b) -2/5 (c) -0.032 b Which is the fifth smallest value? (a) 3/4 (b) 1 (c) -8 (d) 2 (e) 4 e What is the fourth smallest value in 0.3, -136, 5/2, 3/5? 5/2 Which is the smallest value? (a) -0.09 (b) 5 (c) 3 (d) -3/7 d Which is the smallest value? (a) 1/4 (b) -1/18 (c) 0.23 b Which is the third biggest value? (a) 2 (b) -9/7 (c) -3 c Which is the biggest value? (a) 6/5 (b) -8 (c) 0.2 a What is the biggest value in -0.2, 2, 1, 0.2? 2 What is the third smallest value in -11, -0.2, -6/7? -0.2 Which is the third biggest value? (a) -5 (b) 3 (c) -0.4 (d) 9/2 c Which is the second smallest value? (a) 0.17 (b) 25.4 (c) -4 a Which is the second smallest value? (a) 4 (b) 3/2 (c) 1 (d) -5/7 c What is the fourth smallest value in -1/2, 1/2, -1, 108? 108 What is the third smallest value in -5, -2, -1522, -1/5? -2 Which is the third smallest value? (a) -0.3 (b) 0.217 (c) 3/4 (d) 1 c What is the fourth biggest value in -1128, -0.3, -1, 0.3, 1? -1 What is the biggest value in 0.018, 3/4, 2? 2 Which is the fifth biggest value? (a) 0 (b) 2/9 (c) -4 (d) 1/47 (e) 3 c What is the biggest value in 10, 2, -8? 10 What is the second smallest value in -5, -1/125, -2/3, 1/3? -2/3 What is the smallest value in 4, 5, -3, 3575? -3 What is the third smallest value in 1/7, -1.3, -0.133? 1/7 What is the second smallest value in -4, 329, -0.1, 2? -0.1 What is the biggest value in -0.22, 0.4, -1, 5? 5 Which is the fourth biggest value? (a) -3 (b) -0.3 (c) 11 (d) -2 a What is the biggest value in -5/2, -0.07, -4, -0.061? -0.061 Which is the second smallest value? (a) 25 (b) 11/3 (c) -0.2 b What is the second smallest value in 0.2, 349, 15? 15 What is the third biggest value in -4/5, -0.1, 6/11, 3/5? -0.1 Which is the third smallest value? (a) 0 (b) 0.02 (c) -1/2 (d) 2 (e) 151 b What is the third smallest value in -4/15, 1.3, -0.4, 0.3, -4? -4/15 What is the fourth smallest value in 0, -0.1, -2/5, 0.9? 0.9 Which is the smallest value? (a) -2/11 (b) 3 (c) 1 a What is the third smallest value in -1/4, -43, -22, -4? -4 Which is the fifth smallest value? (a) -5 (b) -3 (c) 28/9 (d) 5 (e) -21 d Which is the third smallest value? (a) -97 (b) -2/15 (c) -1 b Which is the biggest value? (a) -2/25 (b) -0.4 (c) 0.13 (d) -0.2 c What is the third smallest value in 0.5, -0.2, -0.15? 0.5 Which is the second biggest value? (a) 2/3 (b) -3 (c) -415 (d) 0 d What is the fourth biggest value in 2/17, 2, 0, -255? -255 What is the second smallest value in 2, -2, 0, -308.4? -2 What is the fourth smallest value in 3, -261, 6/11, -2/11? 3 What is the third smallest value in -2, -0.1, 0.2, -96? -0.1 What is the biggest value in -4/7, 0.4, -5/4? 0.4 What is the biggest value in 6, 4, -7? 6 Which is the third smallest value? (a) 364 (b) -3 (c) -2 a Which is the third smallest value? (a) 0.01 (b) 0 (c) 741 c Which is the third smallest value? (a) -96/7 (b) -1/4 (c) 0.3 c Which is the second smallest value? (a) -1951 (b) -2/15 (c) 5 b Which is the fourth biggest value? (a) -0.07 (b) -0.8 (c) 11 (d) 1/8 (e) -2/7 e What is the fourth biggest value in 1, 2/9, 4/9, -0.2? -0.2 Which is the second biggest value? (a) 2/11 (b) -1 (c) -0.5 (d) 16 a What is the third biggest value in -0.2, 1.53, -5? -5 Which is the third smallest value? (a) 2 (b) -106 (c) 4 c What is the biggest value in 1, 4, -2/11, 1277, -0.5? 1277 What is the second biggest value in -5, 1, -4, 8, -12/5? 1 What is the second smallest value in -2/5, 2/15, 76, 2? 2/15 Which is the third biggest value? (a) -1/9 (b) 27 (c) 4 (d) -0.1 d Which is the third biggest value? (a) -4/3 (b) -4 (c) -287 c What is the third biggest value in -1/3, 123, 0.2? -1/3 What is the fifth smallest value in 5, -1/4, -2, 1/13, 4? 5 What is the fourth smallest value in 0.04, -2/3, -0.017, 2/9? 2/9 What is the fourth smallest value in -0.5, 3, -1, -12? 3 Which is the smallest value? (a) -6 (b) 1 (c) -5 (d) -3 (e) -0.25 a What is the fifth smallest value in -4/7, -0.048, 0.2, -4, -0.3? 0.2 What is the third smallest value in 5, 2, -5/7? 5 Which is the third smallest value? (a) -247 (b) 4 (c) -2.2 b Which is the second smallest value? (a) -23 (b) -19 (c) 0.1 b Which is the third smallest value? (a) -26 (b) 3 (c) 2/7 b Which is the second biggest value? (a) -8 (b) -1/5 (c) 43 b Which is the smallest value? (a) -0.21 (b) 0.3 (c) 0.5 a What is the fifth smallest value in 0.2, 4, 1/7, -0.1, 1/4? 4 Which is the smallest value? (a) -19 (b) -2 (c) 5 (d) 3/2 (e) -1/4 a Which is the second biggest value? (a) 0 (b) 2 (c) 0.159 (d) 2/15 c What is the third smallest value in -5, -3, 0.29? 0.29 Which is the second smallest value? (a) -5 (b) 1 (c) 70 b Which is the second biggest value? (a) -44 (b) -42 (c) -5 b What is the second biggest value in 5, 63, 1/5, 1? 5 Which is the second biggest value? (a) 1/2 (b) -39/11 (c) 14 a Which is the third smallest value? (a) 5/4 (b) 0.4 (c) -0.006 (d) 0.2 b Which is the fourth biggest value? (a) 1 (b) -1/9 (c) -6 (d) -2/11 (e) 3 d Which is the second smallest value? (a) -3/5 (b) 1 (c) -3 (d) -4/69 a Which is the third biggest value? (a) -0.013 (b) -6/7 (c) 0.06 (d) -2/5 d Which is the biggest value? (a) -1 (b) 10 (c) 1 (d) -0.2 b Which is the second biggest value? (a) -3 (b) -2/7 (c) -2 (d) -0.9 (e) 3 b Which is the second smallest value? (a) -1 (b) 21 (c) 19 c What is the biggest value in -112, -2/3, 5? 5 Which is the third biggest value? (a) -5 (b) 0.5 (c) 2/17 (d) -54 a Which is the fourth smallest value? (a) -5/4 (b) 3 (c) -0.06 (d) -0.2 b Which is the third biggest value? (a) 0.5 (b) -9/7 (c) 4/7 b Which is the second biggest value? (a) -4 (b) -3/5 (c) 2 (d) 3 (e) 26/17 c What is the fourth smallest value in 0.5, -3/4, 2/17, -6/11, 1.1? 0.5 What is the second biggest value in 3, -3/11, -2.7? -3/11 What is the third biggest value in -12, -0.3, -207? -207 Which is the second smallest value? (a) 11 (b) 2/9 (c) -54 b What is the third biggest value in 0.035, -1, 2/7? -1 Which is the third smallest value? (a) -2/11 (b) -2/5 (c) 0.15 c Which is the smallest value? (a) -5 (b) -83 (c) 3 (d) -3/7 b Which is the smallest value? (a) 6 (b) 1/3 (c) -0.4 (d) -5 d Which is the biggest value? (a) -0.1 (b) -2 (c) 0.9 (d) 2/5 (e) 0.5 c Which is the third smallest value? (a) -0.1 (b) -22 (c) 0.17 c What is the second biggest value in 2/9, -5, -1/5, -1/18? -1/18 Which is the smallest value? (a) 0.0668 (b) 4 (c) -5 (d) -0.4 c What is the third smallest value in 4.9, 0.25, 4? 4.9 What is the third smallest value in -3, 0.19, 7? 7 Which is the smallest value? (a) 4/3 (b) 6 (c) 1/2 (d) -5 d What is the second biggest value in -0.141, 1, 2/5? 2/5 Which is the third biggest value? (a) 2/17 (b) -2 (c) 7 b Which is the second smallest value? (a) 0.4 (b) 3/5 (c) -19/24 a Which is the third biggest value? (a) -1/9 (b) -11.8 (c) 2/5 b What is the third smallest value in 1/20, 0.3, 0? 0.3 What is the smallest value in -1, 4/11, 0, -0.4, 1? -1 Which is the biggest value? (a) -5 (b) 1 (c) -0.4 (d) -9 (e) 5 e What is the biggest value in 1/7, 2, 0.3, 4? 4 What is the fourth smallest value in -1/7, -0.23, -5, -2? -1/7 What is the biggest value in 5, 2/49, 30? 30 What is the third smallest value in -4, -0.3, -0.02, 0, 4? -0.02 What is the second smallest value in 52/69, 5, 5/2? 5/2 Which is the second biggest value? (a) -0.5 (b) -2/5 (c) 2 (d) -1/9 (e) -1.69 d What is the third smallest value in 0.4, -2/7, 11, 0? 0.4 What is the smallest value in 1/4, 0.1, 574? 0.1 What is the smallest value in 3, 2, -175? -175 What is the fourth smallest value in -97/3, -4, 0.1, 0, -10? 0 What is the second smallest value in -5, 0, -0.03, -0.1, 6? -0.1 What is the fourth biggest value in 2/45, 5, -5, -0.4? -5 What is the second smallest value in -1, 0.5, 2/11, -0.2? -0.2 What is the fourth smallest value in -2/3, 1/3, 3, -1/9, -0.03? 1/3 What is the fourth biggest value in 0.5, 1/7, -2/3, 9.2? -2/3 Which is the third biggest value?
{ "pile_set_name": "DM Mathematics" }
(0 - 2)? -7 What is 25 - 29 - (-1 - 1 - 2) - -18? 18 Calculate (-21 - -35) + 0 + (-7 - 2). 5 What is the value of (22 - 28 - (2 - (14 - 1))) + -1? 4 Calculate (26 - 9) + 3 - 6 - (-1 - 2). 17 What is the value of -15 + (7 - 4) - 9? -21 What is the value of -8 + (-1 + 3 - (39 + -35) - -7)? -3 What is the value of -5 + -18 + 21 + 21? 19 Calculate 20 - (-24 + -2) - 29. 17 Calculate (1 - (-4 + -2) - (-19 - -8)) + -2. 16 Calculate -9 - (-6 + (-5 - (-9 - -8))) - -2. 3 What is the value of (8 - -7) + -7 - 5 - -8? 11 What is the value of (-38 - (-12 + -4)) + 4? -18 What is the value of -7 + (-24 - -18 - (-1 + -8))? -4 What is the value of 3 - (21 + 0 - 42)? 24 Evaluate 23 - (5 + 8 + (-1 - 2)). 13 Evaluate -25 + -9 + 19 - -27. 12 What is 3 - (-2 + -4 - (15 + -20)) - -2? 6 What is -12 + (1 - (-5 + 2)) - -5? -3 Calculate -38 + 32 - (3 + (-2 + -17 - -3)). 7 What is 14 + -21 + 3 + -3 + 10? 3 What is the value of 9 + -14 + 8 - (24 - 25)? 4 18 - 0 - (-59 - -89) -12 -5 + 14 + -27 + 35 17 Evaluate 11 + (7 - (4 + 31)). -17 Evaluate 1 - (2 - -10) - (31 - 41). -1 What is -12 + (-2 - -10) - 7? -11 What is -3 - (5 - (0 + 14 + -5))? 1 What is -11 + 30 + 5 + -17? 7 Evaluate (-3 - -1) + -2 + (3 - 3). -4 What is (-3 - (5 - 7)) + (-1 - -2)? 0 26 + 4 + -11 + -1 + (-8 - -2) 12 Calculate 2 + 3 + -9 + 3 + -9. -10 What is 38 + -32 + -35 + 5 + 0 + -1? -25 What is -3 - (-3 + -3 + -2 + (18 - -4))? -17 What is 7 - (-1 - -5 - (-10 - -19))? 12 What is the value of 2 + 0 + (14 - (2 - -14)) + 14? 14 Evaluate 8 - (882 + -911 + (-1 - -1) + -3). 40 What is -14 + 19 + -8 - 9? -12 What is -33 + 1 + (-103 - -98) - -6? -31 Evaluate 71 - 102 - (-3 + -34). 6 Calculate 20 + 12 + (-13 - (-5 + 7)). 17 What is 1 + -14 + 20 - (0 - 6)? 13 What is the value of 7 + (154 - 164) + 1 + -2 + -3? -7 What is -25 + -1 - (-1151 + 1152)? -27 -194 + 205 + -11 + 2 + (7 - 7) 2 Evaluate -3 + (-2 - -18 - (10 + -2)). 5 Calculate -41 + 51 - (2 - -26). -18 Evaluate 1830 + -1815 + 2 + -2 + 2. 17 Calculate 1 + -14 - ((10 - 12) + -1). -10 Calculate 1 - 1 - (-137 - -126). 11 Calculate 1 + 5 + (-8 - (-9 + 10)). -3 Evaluate -27 - (13 + (8 - 33)). -15 Calculate 3 + -10 + (-10 + 12 + -16 - -18). -3 Evaluate (-24 - -6) + (19 - (27 - 0)). -26 What is -10 + -168 + 172 + -7 + 0? -13 (71 - (2 + 66)) + -25 + -1 -23 -18 + -2 - ((-5 - -6 - 2) + -5) -14 (-60 - (-47 - -25)) + (6 - -1) -31 Evaluate 7 - (-4 - (-11 - -12) - -5). 7 Calculate 49 + -9 + (-4 - 29). 7 What is the value of -14 + 1 + (42 - (49 - 9))? -11 What is the value of 24 + (13 - -34) + -47? 24 Evaluate -19 - (-13 - (-37 + 9)). -34 What is -17 + (-4 + 5 - -27) + -16? -5 What is the value of 6 - (11 - 13) - 6? 2 Evaluate -25 + (1 - 1 - (22 - 29)). -18 Evaluate -3 + 4 - (-12 - -15 - 16). 14 Calculate -4 - (-2 + -1) - (1 + 0 + -17). 15 Evaluate 4 + (-6 - (-6 - (-18 + 10))). -4 What is the value of -35 + 6 + 2 - (10 + -21)? -16 Evaluate 3 - (10 + -3) - (-12 + (16 - 0)). -8 What is 18 - (17 + -41 + 26)? 16 Evaluate (1 - 0) + 1 + -5 + -2197 + 2177. -23 What is (9 - 3) + (7 - (-4 - -6)) + -5? 6 What is (-11 - 0) + -327 + 312? -26 Calculate 40 + -11 - (2 + 0) - (157 - 158). 28 What is (6 - 9 - 3 - -4) + -4? -6 What is -5 + -2 + 14 - 3 - (-5 + 36)? -27 What is the value of -29 - (-35 - (-37 + 24))? -7 Calculate 1 + (4 - -11) + 36 + -44. 8 What is -1 - 6 - (3 - 1 - (-51 + 65))? 5 What is -48 + (106 - 81 - (-1 - -14))? -36 What is -6 - (-31 + (2 - 4) + (-26 - -37))? 16 What is (-9 + 5 - -5) + (-4 - 0)? -3 What is the value of -8 + 1 + (-1 - -12) + -24 + 12? -8 Evaluate 24 + 13 + -25 + -2. 10 Calculate -9 + (0 - 2) + (3 - (6 - 9)). -5 -14 + (16 - 21) - -35 16 What is the value of -12 + 0 + -100 + 115? 3 Evaluate 20 - (9 + -10 - (-13 - -2)). 10 What is the value of (1 - -4) + (-12 - -29) + -1 + -15? 6 What is 30 + -101 + 29 + 3? -39 What is -51 - (-74 + 13) - (0 + 1 - -14)? -5 Evaluate 30 + 38 + -66 + (-20 - (-4 - -2)). -16 What is the value of -36 + (18 - 5) + 39? 16 What is the value of -10 - (-3 - (-13 - -7))? -13 What is 4 - ((8 - 0 - 1) + 3) - -16? 10 -7 + 16 - (4 - (-9 - -11)) 7 Evaluate 22 + (-3 - -2 - -12 - (669 - 668)). 32 What is the value of (-7 - 1) + (22 - 15 - 17)? -18 What is the value of (17 + -14 - 13) + 0 + 2? -8 What is (-36 - -46 - -21) + -31? 0 What is -12 + (-4 - (-14 + 24)) - (1 - 11)? -16 -7 + -5 + 10 - (11 - 3 - 4) -6 What is the value of 14 - (28 - 13 - 8)? 7 What is the value of -7 - ((-10 - -1 - -8) + -7)? 1 What is -7 + (-3 - -18) + 4 + 19 + -21? 10 What is 5 + -10 + -7 + 10? -2 Evaluate 1 + -6 + 8 + -7 + -4 - -2. -6 What is (35 - (102 - 11)) + 40? -16 Calculate -4 + 49 + -44 + (0 - -8). 9 Evaluate -7 - -9 - (26 + -39). 15 What is 1 + 2 + -81 + 56 + 40? 18 What is -352 + 374 - (37 - -1)? -16 Calculate (2 + 0 - (-15 - -23) - 5) + 4. -7 41 + (141 + -134 - (12 + (0 - 1))) 37 Calculate -362 - -371 - ((2 - -12) + 0). -5 -9 + 12 + -15 + 10 + 9 7 What is (2 - -3) + -16 + 10 + -5? -6 What is the value of (7 - (1 + -14)) + (0 - 9)? 11 Evaluate (0 - 9) + (1 - -4 - -1). -3 -460 + 464 + 0 + -2 2 (5 - -13) + -22 - (-4 + 6 + -2) -4 -1 - -4 - (26 + 3 + -23) -3 23 + -13 + (-8 - (-32 + 13)) 21 Evaluate -11 + (1 - -1 - -3) + 1. -5 58 - (29 - -22) - (0 - (0 - -1)) 8 Calculate (-7 - (1 + -1)) + -2 + 2 + -5. -12 Calculate 1 - (-18 + 23) - -23. 19 What is the value of -20 + (8 - (-14 + 18))? -16 23 + 24 + -53 + 21 - (11 - 1) 5 Evaluate -32 - (0 + -21 + 7) - 9. -27 -53 + (34 - (17 - -1) - -2) -35 What is -6 + 8 + (16 - 8) + -9 + -1? 0 Evaluate 13 + -15 + 6 - 11. -7 Evaluate -8 + (8 - (12 - -12) - -6). -18 Calculate (44 - 29 - 18) + (-2 - -26). 21 -7 + (-4 - -5) + 1 + 2 -3 -13 - (-8 + -4 + 3) -4 Evaluate -6 + (5 - -3 - 3) + 5 + 6. 10 What is the value of 23 + 3 - (-11 - (-13 - 8))? 16 Calculate -3 - -2 - 0 - (-9 + 10 + 1). -3 Evaluate 7 + (-15 - 3) + 10. -1 Evaluate -21 + 3 + 35 - 28. -11 Evaluate 0 + 1 + -4 + 5 - (-8 + 4). 6 What is 132 - 130 - ((2 - -2) + (-6 - -3))? 1 Calculate 4 + (11 - (7 + 10)). -2 Calculate -37 - (43 + -21 + -69). 10 Calculate -2 - (1 + (-4 - (-14 + 6) - 0)). -7 -14 - (32 - 29) - -32 15 What is 1 + -4 + -1 + 6 + -10? -8 -6 - (7 - (-17 - -33)) 3 What is 9 + -1 + -3 + 11 + 4? 20 What is -49 + 46 + -8 + 1 + (17 - -4)? 11 What is the value of -34 + 2 + 7 + -2 + 1 + 1? -25 Calculate -4549 + 4542 - (1 + -16 + 1 + -1). 8 Evaluate 1 + 1 - (71 - (18 + 67)). 16 What is the value of 12 - (-25 + (-13 - -27))? 23 What is 8 + -9 + 6 + -1 + -2 - 1? 1 What is the value of -3 - 17 - (-17 + 6)? -9 What is the value of (-13 - (0 + 1)) + 7 - -1 - 1? -7 What is the value of 18 - (-3 - -8) - (10 + -11)? 14 What is the value of -45 - ((-67 - -41) + 13)? -32 What is -23 - 1 - (-4 - -2)? -22 Evaluate -1 + 10 + -14 + 1 + (-7 - 1). -12 What is the value of -5 + (-4 + 14 - 5) - 7 - 6? -13 -8 - (-13 + (3 - -9 - 4)) -3 What is the value of 1 - 2 - (4 + -6 + -3)? 4 What is the value of (-35 - -28) + -18 - -3? -22 Evaluate 33 - (48 + -8) - (-23 - -2 - -2). 12 Evaluate 7 + -5 - (-45 + (-11 - (8 - 31))). 35 Evaluate (8 + 0 - 10) + 9. 7 What is the value of 15 + (2 - 27) - (-2 + -17)? 9 -8 + (-19 - -11) + -17 + -1 + 4 -30 (2 - 1) + (6 - 3) - (28 + -27) 3 Calculate (-68 - -69 - ((-5 - -8) + -2)) + 4. 4 Calculate (6 - -17) + -22 - (1 - -3). -3 Evaluate -28 + 11 + 24 - -10. 17 (-19 - (-7 + -13)) + (-10 - 0) - -25 16 (-65 - -63) + (0 - (2 + -1)) + 8 5 (5 - (-10 - (-12 - 6))) + -11 -14 What is -7 - ((8 - 4 - 11) + 1)? -1 What is the value of -18 - (21 - (71 - 18))? 14 912 + -909 + (0 - (2 + 0)) + 16 17 What is -8 + 1 - (14 - (-10 - -6 - -3))? -22 Evaluate -167 + 202 - (29 + 5). 1 What is the value of -17 + -4 + (-1 - ((8 - 14) + -5))? -11 40 + -38 + -5 + -1 + 4 + -5 -5 What is 12 - (2 - (7 - 17))? 0 Calculate -10 - (0 + -3 + 2 + -7). -2 What is 1 + -39 + (1051 - 1038)? -25 What is the value of 10 + -7 + -10 + 3 + -29? -33 Evaluate (-14 - -24) + 6 - 19. -3 Calculate -20 + 34 + (1 - 16). -1 Calculate 88 + -68 + -6 + 14 + -27. 1 Evaluate -37 - -28 - (-30 - -9). 12 (-10 - (35 + -20)) + 27 2 Evaluate 1 + (-6 - 4 - 4) + -1. -14 Calculate 1 - (-8 - (10 - (-5 + 3))). 21 What is the value of 10 + (9 - 8) + -40 - -12? -17 What is (-4 + 1 + 3 - 1) + (-1 - 1)? -3 Calculate (0 - -22) + (19 - (6 + 3)) + -18. 14 Evaluate (-8 - -51 - 11 - 17) + -4. 11 Evaluate 0 + -2 + -4 - (-23 + 6). 11 What is the value
{ "pile_set_name": "DM Mathematics" }
h be -6 - -5 - 42/(-2). Let a be 10/(-45) + h/9. Let b(i) = -2*i + 4*i - i. Determine b(a). 2 Let x be 1 - 2 - (-12)/4. Let w(k) = 4*k - k + 8 - x*k. Suppose -12 = -4*o + 4*m, -3 = 3*o + m - 0. Determine w(o). 8 Suppose -2*a - 1 = 13. Let u = a - -9. Let v(c) = c**3 - c**2 + 2*c - 3. Calculate v(u). 5 Let b = 4 - -6. Suppose -b = -p - p. Let a(j) = -j**2 + 6*j + 1. Give a(p). 6 Let p(h) = 3*h - 2. Let q be p(2). Let r(c) be the first derivative of -c**3 + q*c - 1/4*c**4 - 2 + 3*c**2. Give r(-4). -4 Let r(x) = 0 - 3*x + 1 + 5 - 7. Give r(-1). 2 Suppose 0*m = -m + 28. Suppose 0*r + m = -4*r. Let y = r - -10. Let q(o) = 3*o - 2. What is q(y)? 7 Let f(l) = l**3 - 5*l**2 + 4*l - 3. Let q = -6 - -12. Let u(t) = 0 - 2*t - 2 - 3*t + t**2. Let a be u(q). Determine f(a). -3 Let d(z) = -z**3 - 5*z**2 - 3*z + 5. Let f = -2 - -4. Suppose 5*j + 5*c = -20, 5 = f*j - 5*c + 13. Determine d(j). 1 Let h(t) = -4*t + t + 6 - 3 + 1. Give h(3). -5 Suppose 4*f + 3*d = -27, 2*f - 7*d = -3*d + 14. Let u(w) = w**3 + 4*w**2 + 3*w - 4. What is u(f)? -4 Suppose -2*r = 3*j - 17, -3 = -r + 2*j + 2. Let c = r - 5. Let l(q) = 2 + 4 - 2 - c*q. Calculate l(3). -2 Suppose 0 = -2*s - 5*b, 2*s + s = -5*b. Let u(j) = -j**2 - j - 7. Determine u(s). -7 Let c(o) = o + 8. Let y = -43 - -36. What is c(y)? 1 Let v(x) = -x**2 + 7*x - 3. Let d be (-10 + 1)*(-212)/6. Let q be (-4)/(-18) - d/(-27). Suppose 0 = -2*b + 5*b - q. Give v(b). 9 Let w = -21 - -23. Let q(c) = 14*c - 2. Calculate q(w). 26 Let b(k) = k**2 + 13*k + 16. Let m be b(-12). Let c(x) = -12 + 2*x + m + 3. What is c(6)? 7 Let k = -12 + 6. Let l(q) be the first derivative of q**4/4 + 7*q**3/3 + 5*q**2/2 + q - 47. Give l(k). 7 Let q(m) = m + 3. Let l(a) = a**2 + 5*a - 8. Let c be l(-6). Calculate q(c). 1 Let n = -8 + 4. Let d(y) = 5*y**3 + 4*y**2 - 4*y + 7. Let t(o) = 11*o**3 + 8*o**2 - 9*o + 15. Let a(g) = 9*d(g) - 4*t(g). Determine a(n). 3 Suppose -5*g + a = 33, 3*g = 3*a - 21 + 6. Let z(r) = -r**3 - 6*r**2 + 8*r - 3. Calculate z(g). -10 Let w(o) be the first derivative of o**4/4 - 2*o**3 + 2*o**2 + 2*o + 7. Suppose -3*s - 2*g - 5 = -4*s, -15 = -3*s + 5*g. What is w(s)? -3 Let x(s) = -s + 5. Let i be (-2)/(-4) + ((-52)/(-8) - 1). Determine x(i). -1 Let c = -27 + 21. Let k(w) = 7*w**2 - 2*w - 5. Let j(g) = -8*g**2 + 3*g + 5. Let q(u) = 6*j(u) + 7*k(u). What is q(c)? 7 Let d(n) = -5*n**2 + 2*n - 1. Let i(y) = -y**3 - 4*y**2 + 4. Let x be i(-3). Let p be (-24)/x + 4/20. Suppose 0 = -p*b + 5 - 0. Give d(b). -4 Let f(z) = -4*z**2 - 5*z + 3. Let n(w) = -w**2 - w. Let i(x) = -f(x) + 2*n(x). Calculate i(-3). 6 Suppose 4*m - 5 = -4*o - 1, -4*o + 4*m + 20 = 0. Suppose 7 = -2*j - o. Let c(z) = z**3 + 4*z**2 - 3*z + 5. Give c(j). -5 Let i(q) = -3*q + 2. Let a = 6 - 2. Suppose -2 = 5*m - a*w, 5*m + 4*w - 18 = 2*m. Determine i(m). -4 Let t(s) = s**3 + 5*s**2 + 3*s + 2. Suppose 0 = v - 5 + 2. Suppose 15 - 36 = 5*r + v*c, 3*r + 15 = -c. Let g = -10 - r. Determine t(g). 6 Let m(h) be the third derivative of -h**6/120 - h**5/20 - h**4/24 + h**3/6 - 3*h**2. Let z(p) = p**3 - 7*p**2 + 8*p - 14. Let w be z(6). What is m(w)? -1 Let k = 190 + -186. Let g(n) = n + 2. Give g(k). 6 Let v = -8 - -14. Let t(h) = 0*h + 0 - v + 2 + 2*h. Give t(3). 2 Let x = -1 + 3. Suppose -7*t + 30 = -x*t. Let a(l) = 2*l - 17. Let c(b) = b - 8. Let o(q) = 4*a(q) - 9*c(q). Give o(t). -2 Let u(y) = -5*y**2 + y + 2. Let z(h) = 4*h**2 - h - 2. Suppose -2*m - 3*s = 14 + 6, m = -4*s - 20. Let p = m + 7. Let c(q) = p*u(q) + 4*z(q). Calculate c(0). -2 Suppose -25*r + 24*r = -4. Let k(p) = 3*p - 1. Determine k(r). 11 Let s be (-3)/9*0 + 1. Let z = s - -2. Suppose 0 = -z*m - 10 - 2. Let u(r) = -r - 1. Give u(m). 3 Suppose 4*l = -4*y + 24, 3*y - 2*l - 8 + 0 = 0. Let k(c) = -c**3 + 3*c**2 + 2*c + 5. What is k(y)? -3 Let v(r) be the first derivative of -r**3/3 + 5*r**2/2 + 4*r + 15. Determine v(4). 8 Let a(k) = -k**3 + 6*k - 2. Let b(f) be the third derivative of -f**6/120 - f**5/60 + f**4/4 - f**3/3 + 7*f**2. Let l(j) = 3*a(j) - 4*b(j). Give l(-5). 7 Let b(t) = -4*t**2 - 3*t. Let p be 28/6 - (-6)/18. Let u(i) = i - 7. Let n be u(p). Give b(n). -10 Let b(i) = -6*i**2 - 6*i + 2. Suppose 0*r - 25 = -5*r. Suppose -r*d = -d + 20. Let h(l) = 7*l**2 + 6*l - 2. Let t(g) = d*h(g) - 6*b(g). Determine t(-5). -7 Let y(r) = -3 + 0*r - r + 10. Suppose 135*g - 138*g = -15. Determine y(g). 2 Let s(u) = u**3 - 6*u**2 + 3*u - 1. Suppose 4*z - 3 = 5*f - 5, -14 = -5*z - 2*f. Calculate s(z). -11 Let x(r) be the third derivative of -2*r**2 - r**3 - 1/12*r**4 + 0*r + 0. Suppose -5*u + u = 4*o, 2*o = 2*u + 20. Give x(u). 4 Let r = -21 - -12. Let v = r + 5. Let n(j) = -j**3 - 5*j**2 - 3*j - 2. What is n(v)? -6 Let c(b) = 3*b + 3. Suppose 25 = 3*p + 2*p. Suppose p*g - 3*x = 0, 3*x + 7 = 4*g + 2*x. Let z(d) = 3*d + 3. Let v(h) = g*z(h) - 4*c(h). What is v(-4)? 9 Let q(j) = j**3 + 2*j**2 - j + 1. Let h(k) = -k**3 - 2*k**2 + k - 2. Let b(n) = 3*h(n) + 4*q(n). Calculate b(-3). -8 Let f(w) = w**2 - 6*w + 1. Suppose -4*t + y = -18, 2*t + 2*y = -2*t + 24. What is f(t)? -4 Let h(r) = -2 - 2*r + 2 + 1 + 0. Let v(w) = -7*w - 1. Let q(y) = -3*y. Let i(d) = 9*q(d) - 4*v(d). Let j be i(0). Calculate h(j). -7 Let z(p) = p**2 + 5*p - 1. Let l be z(-4). Let k(i) = -i**3 - 4*i**2 + 6*i - 3. What is k(l)? -8 Let b(t) = 2*t**3 + 3*t**2 + 3*t. Let f be 2 - (-3)/6*-8. Calculate b(f). -10 Let i(o) = -o + 2. Suppose 0 = 3*q - 149 + 26. Suppose 5*g + 9 + 16 = -l, 4*g + q = -5*l. What is i(l)? 7 Let a be ((-2)/3)/(3/(-9)). Let o = a + 1. Let y(f) = -o*f + 4*f + 2 + 0*f. Give y(0). 2 Let o(n) be the second derivative of n**4/4 - 13*n**3/6 - 5*n**2/2 + 5*n. Let t(f) = -f**2 + 6*f + 2. Let x(v) = -2*o(v) - 5*t(v). Determine x(-5). -5 Let p be ((-52)/(-64)*4)/((-2)/8). Let s(l) = -l**2 - 14*l - 3. What is s(p)? 10 Let y(d) be the first derivative of -4*d + 2*d**2 + 2*d**3 + 2 + 1/4*d**4. Calculate y(-5). 1 Let s(y) = y + y - 2 - 2*y + 2*y. Calculate s(-2). -6 Let s(a) = -a + 1. Let r(x) = x**3 + 7*x**2 - 8*x + 7. Let j be r(-8). Determine s(j). -6 Let w be ((-8)/(-16))/((-1)/2). Let p(h) = -h - 1. Let v(b) = 2*b - 2. Let d(y) = 2*p(y) - v(y). Give d(w). 4 Let m(q) = -5*q**2 - 14*q + 8. Let k(v) = -9*v**2 - 27*v + 15. Let f(w) = -6*k(w) + 11*m(w). Suppose 20 = 2*z + 4*p, -3*z - 5*p + 28 = -0*z. Give f(z). 10 Suppose 2*l + 1 = -5, 3*r - 2*l = 0. Let h = r + -3. Let m(q) = 2*q - 120*q**2 - 3*q + 125*q**2 + q**3 - 6. Calculate m(h). -1 Let p(z) = 2*z - 6. Let u be p(7). Let i = u + -6. Let f = -3 - i. Let m(a) = 2*a + 7. Give m(f). -3 Let q(m) = -m**3 - 5*m**2 + 8*m - 7. Let j(p) = -3*p**3 - 14*p**2 + 23*p - 20. Suppose l + 51 = -2*l. Let a(s) = l*q(s) + 6*j(s). What is a(1)? 1 Let r(h) be the third derivative of h**6/120 + h**5/10 + h**4/3 + h**3/2 + 2*h**2. Calculate r(-5). -12 Let o = -4 - -6. Suppose -o*z + 3*z - 3 = 0. Suppose -5 = -d - z. Let u(k) = -3*k + 1. Determine u(d). -5 Let f be (-1)/(-3) + 100/15. Let z(w) = -w**2 + 7*w + 6. Calculate z(f). 6 Let u(p) be the first derivative of -p**4/4 - 2*p**3 - p**2/2 + 2. Let i(y) = -y**3 - 3*y**2 + 4*y + 6. Let b be i(-3). Give u(b). 6 Let w be 1*(2 - 1 - 1). Let y be -2 - (w - 4/2). Let s(v) = -v**2 - 3*v**2 + 3*v**2 + 11 - v**3. Determine s(y). 11 Suppose -4*z - 5 = -5*z. Let a(j) be the first derivative of -j**4/4 + 4*j**3/3 + 3*j**2 + 2*j + 1. What is a(z)? 7 Let h(r) = -r**3 + 2*r**2 + 5*r - 2. Let g = -73 - -77. Determine h(g). -14 Let l(s) = 2*s + 2. Let f(z) = -z - 16. Let q be f(-14). What is l(q)? -2 Let z be ((-5 - -3)*-1)/(-2). Let l(m) be the third derivative of m**4/3 - m**2. Calculate l(z). -8 Suppose -5*d - 3*n + 26 = 0, n - 5 + 23 = 5*d. Suppose 0*q - 36 = -d*q. Let m = -4 + q. Let w(z) = -z**2 + 6*z - 3. What is w(m)? 2 Let k = 22 - 19. Let u(p) = p**3 - 2*p**2 - 2*p + 1. What is u(k)? 4 Let b(d) = d - 2. Let u be b(8). Let n(t) = t - 13. Determine n(u). -7 Let y(j) = j**3 - 2*j**2 - 2*j + 3. Let n(o) = -2*o**2 - 6*o + o**2 + 0 - 2. Suppose -4 = 2*t, -2*w - w - 3*t - 21 = 0. Let c be n(w). What is y(c)? 6 Let y(x) = -x - 8. Suppose 0 = 7*a - a + 42. Determine y(a). -1 Let s(r) be the first derivative of r**3/3 + r**2/2 + 15*r + 12. Calculate s(0). 15 Let w(b) = -b**3 + 4*b**2 + 4*b + 7. Suppose 5*j = -3*d + 22, d = -3*j - j + 12. Suppose -q = -d*q + 117. Suppose 5*u
{ "pile_set_name": "DM Mathematics" }
+ 26096*v**2 - 52178*v**2. 4*v**2 Collect the terms in 2*s + 82*s**2 - 2*s + 94*s**2 - 5*s + 6*s. 176*s**2 + s Collect the terms in -14994*r**3 - r + 15026*r**3 - r. 32*r**3 - 2*r Collect the terms in 31 - 12*c - 20*c + 29*c. -3*c + 31 Collect the terms in 13*u - 3*u + u - 9*u - 12. 2*u - 12 Collect the terms in w - 2*w**2 + 8*w**2 + w + 26*w**2 + 21*w**2. 53*w**2 + 2*w Collect the terms in -3*w**3 - 8*w**3 + 72 - 3*w**3 + 19*w**3. 5*w**3 + 72 Collect the terms in 5*q + 2*q - 2*q + 61 - 353. 5*q - 292 Collect the terms in 88733*b**2 - 177536*b**2 + 88800*b**2. -3*b**2 Collect the terms in 14 - 2680*f - 14. -2680*f Collect the terms in -9960954 - 9960953 - 11*p + 19921907. -11*p Collect the terms in 1 + 0 + 48*z**3 + 6 - 7. 48*z**3 Collect the terms in -29*w**2 + 8 - 3 - 2. -29*w**2 + 3 Collect the terms in -5 - 90*c**2 + 4 + 27*c**2 + 31*c**2 + 35*c**2. 3*c**2 - 1 Collect the terms in 56 + g**2 + 0*g**2 - 2*g**2 + 325. -g**2 + 381 Collect the terms in -6*g - 6 + 14 + 1 - 9. -6*g Collect the terms in 44*w**2 - 75*w**2 - 12*w**2 + 39*w**2. -4*w**2 Collect the terms in 8*l - 971 - 4*l - 149. 4*l - 1120 Collect the terms in -5*u**2 + 82 - 77 - 5. -5*u**2 Collect the terms in -727*r**3 + 402*r**3 - 727*r**3 - 143*r**3. -1195*r**3 Collect the terms in -2693*t + 2693*t - 29*t**2 + 2. -29*t**2 + 2 Collect the terms in 31*u**2 - 4111*u + 4111*u - 44*u**2. -13*u**2 Collect the terms in 2567*h**2 + 2553*h**2 - 2*h**3 + 2580*h**2 - 7679*h**2. -2*h**3 + 21*h**2 Collect the terms in -3*q**2 + 4*q**2 - q**2 + 414*q**3 + 60*q**3. 474*q**3 Collect the terms in -15 + 27 - 985*d**3 - 12 + 1131*d**3. 146*d**3 Collect the terms in 28*t**3 + 13273*t - 6635*t - 6638*t + 2. 28*t**3 + 2 Collect the terms in 330*k**3 - 349*k**3 + 16*k**3. -3*k**3 Collect the terms in 1830*n - 931*n + 42*n**3 - 899*n. 42*n**3 Collect the terms in -87512 + 87512 - 11*c**2. -11*c**2 Collect the terms in -2*o + 6*o**2 - 6*o + 18*o - 10*o. 6*o**2 Collect the terms in -3293 + 3293 + 402*n - 123*n. 279*n Collect the terms in -6*p - 7 + 2*p + 4 + 7*p + 3. 3*p Collect the terms in 98*v**2 - 97*v**2 - 1024*v - 1027*v + 2051*v. v**2 Collect the terms in -1175*s**2 + 1175*s**2 + 13*s**3 + 26*s**3. 39*s**3 Collect the terms in 2660 - 5310 + 2650 - 14*g**3. -14*g**3 Collect the terms in 85*m**3 - 5603 + 5603 - 289*m**3. -204*m**3 Collect the terms in 189*t**2 + 224*t**2 - 361 - 44*t**2 + 362. 369*t**2 + 1 Collect the terms in 11*i**2 + 2775 - 2775. 11*i**2 Collect the terms in 3*k - 3*k + 21*k**3 + 4*k + 32 - 3*k. 21*k**3 + k + 32 Collect the terms in 70287*c + 52341*c + 0 - 1. 122628*c - 1 Collect the terms in -30*z**2 + 35*z**2 - 146*z**2 - 40*z**2. -181*z**2 Collect the terms in 2*x**3 - 2*x**3 - 7144 + x**3 + 7144 + 5*x. x**3 + 5*x Collect the terms in 415646342462 - 415646342462 + 2*z. 2*z Collect the terms in 422*b - 10 - 2 + 9. 422*b - 3 Collect the terms in 20*j + 79 + 22*j + 24*j - 64*j. 2*j + 79 Collect the terms in 584*z**3 + 5*z - 5*z - 569*z**3. 15*z**3 Collect the terms in -229 + 33987*t + 229. 33987*t Collect the terms in -108*c**2 - 181*c**2 + 33*c**2. -256*c**2 Collect the terms in 1030 - 252 - 243 - 245 - 290 - 2*l. -2*l Collect the terms in -4323*d + 25*d**3 + 4323*d + 4. 25*d**3 + 4 Collect the terms in 992*v**3 + 2713*v**2 - 999*v**3 - 2713*v**2. -7*v**3 Collect the terms in -26 - 3*r**2 - r**2 + 24 + 414*r**3. 414*r**3 - 4*r**2 - 2 Collect the terms in -789 - 2*m - 5*m - 2094. -7*m - 2883 Collect the terms in -74*o - 93*o + 160*o - 1215*o. -1222*o Collect the terms in -121*r**3 + 258*r**3 - 136*r**3. r**3 Collect the terms in -469*q**3 - 454*q**3 - 477*q**3 + 4*q + 1401*q**3 - 4*q. q**3 Collect the terms in 37*f + 18 + 8 - 95*f. -58*f + 26 Collect the terms in -1497 + 398 + 394 - 13*q + 705. -13*q Collect the terms in -382 - 32 + 2*m + 200 - 698. 2*m - 912 Collect the terms in 28*y**3 + 38*y**2 + 3*y - 48*y**3 - 3*y - 36*y**2 + 5*y**3. -15*y**3 + 2*y**2 Collect the terms in 868 - 868 + 6320*z. 6320*z Collect the terms in 4*j**2 + 633*j - 266*j - 387*j + 0*j**2. 4*j**2 - 20*j Collect the terms in 401*g**3 - 23*g - 400*g**3 + 120*g. g**3 + 97*g Collect the terms in -1 - 160 - 294 + u - 722. u - 1177 Collect the terms in -17518632 + 72*i + 17518632 + 57*i. 129*i Collect the terms in -704*z**2 + 1274*z**2 + 2796*z**2. 3366*z**2 Collect the terms in 2 + 2761*j - 3596*j + 12321*j. 11486*j + 2 Collect the terms in 22 - 18*g**2 + 89*g**2 - 47*g**2 + 156*g**2. 180*g**2 + 22 Collect the terms in -186*z + 45*z + 98*z + 49*z. 6*z Collect the terms in 40341 + 1902*n**2 - 40341 + 670*n**2. 2572*n**2 Collect the terms in 21557*w**3 - 10810*w**3 - 10756*w**3. -9*w**3 Collect the terms in -6699 + 6699 - 8*o**3 + 14*o**3. 6*o**3 Collect the terms in 1688 + 949 - 219 + 152 + k**3. k**3 + 2570 Collect the terms in -2*v**2 - 18*v + 82*v - 49*v - 9*v. -2*v**2 + 6*v Collect the terms in -416*r**3 + r**2 - r**2 + 2*r**2 + 62*r**3 - 2. -354*r**3 + 2*r**2 - 2 Collect the terms in 9*l + 17*l + 17*l - 34*l. 9*l Collect the terms in -478*d + 117*d - 102*d. -463*d Collect the terms in 54*f - 73*f + 8*f + 16*f. 5*f Collect the terms in 64*d + 26*d + 27*d - 117*d + 9*d**2. 9*d**2 Collect the terms in 134 - 23*j + 33*j - 13*j. -3*j + 134 Collect the terms in 120*q**3 - 354*q**3 + 122*q**3 + 115*q**3. 3*q**3 Collect the terms in 12*r - 5*r + 746 - 10*r. -3*r + 746 Collect the terms in -11 + 12846*l + 8 + 3. 12846*l Collect the terms in -41*v + 11*v - 18*v - 8*v - 3. -56*v - 3 Collect the terms in 5*r - 62*r - 2 + 14*r + 2 + 44*r. r Collect the terms in 28*j**2 - 62*j**2 - 93*j**3 - 8*j**2 + 91*j**3 - 66*j**2. -2*j**3 - 108*j**2 Collect the terms in 269 - 269 - 1440*o**2. -1440*o**2 Collect the terms in -3*m**2 + 99991*m + 34*m**3 - 99991*m. 34*m**3 - 3*m**2 Collect the terms in 3*g**2 + 190*g - 4*g**2 - 46*g**2 - 190*g. -47*g**2 Collect the terms in -4361 + 8723 - 4360 + 8*w. 8*w + 2 Collect the terms in 0*h + 27928 - 27928 - 5*h + 4*h. -h Collect the terms in 142 - 255*s**2 + 120 + 261*s**2. 6*s**2 + 262 Collect the terms in 283 + y**2 + y**2 - 13*y + 0*y - 7*y. 2*y**2 - 20*y + 283 Collect the terms in -105*z - 38*z**2 - 37*z**2 + 59*z**2 + 105*z. -16*z**2 Collect the terms in -f - 15*f**2 + f + 98*f**2. 83*f**2 Collect the terms in -177*g**2 + 223*g**2 - 45*g**2. g**2 Collect the terms in 64062 - 64062 - 94*z. -94*z Collect the terms in 4*h**3 - 2*h + 632 + 164 - 6*h**3 + 0*h**3. -2*h**3 - 2*h + 796 Collect the terms in -29*t**2 + 2559*t**3 + 8*t**2 - 2561*t**3 + 12*t**2 + 9*t**2. -2*t**3 Collect the terms in 17053*x**2 + 17070*x**2 - 34137*x**2. -14*x**2 Collect the terms in 2*r - 2*r - 869*r**2 + 0*r - 2*r + 59*r**2. -810*r**2 - 2*r Collect the terms in 66*a**2 + 23*a**2 + 23*a**2 - 55*a**2 - 59*a**2. -2*a**2 Collect the terms in -281*g + 269*g - 120*g. -132*g Collect the terms in 5883 + 12*v - 5881 - 171*v. -159*v + 2 Collect the terms in 407*k - 3996 + 3996. 407*k Collect the terms in 9*c**2 + 44*c**2 - 59*c**2. -6*c**2 Collect the terms in 411*r - 51 + 2*r**2 - 92*r + 176*r + 50. 2*r**2 + 495*r - 1 Collect the terms in 48612*x**3 + 48645*x**3 - 97282*x**3. -25*x**3 Collect the terms in -77*n + 3 + 108*n - 51*n - 31*n. -51*n + 3 Collect the terms in 99 - 99 + 8*o**2 + 2*o**2 - 5*o**2. 5*o**2 Collect the terms in -21 - 21*c + 22 - 1. -21*c Collect the terms in -4*y**3 - 30*y + 9*y + 20*y. -4*y**3 - y Collect the terms in -237718*m + 4*m**2 + 237718*m - 4*m**2 - 3*m**3. -3*m**3 Collect the terms in 2200 + 2200 + 7*v - 4400. 7*v Collect the terms in 23 + 45874*i**3 - 45873*i**3 + 6. i**3 + 29 Collect the terms in -4341*i**2 + 8674*i**2 + 0*i - 4329*i**2 + 0*i + 24. 4*i**2 + 24 Collect the terms in -5*b - 5*b - 22*b + 14*b. -18*b Collect the terms in -53*x + 3 - 2 + 20 + 38*x + 2. -15*x + 23 Collect the terms in 2*r**3 - 28 + 9 - 33. 2*r**3 - 52 Collect the terms in 79*v**2 + 692 - 344 - 350 + 767*v**2. 846*v**2 - 2 Collect the terms in -588*g + 2924*g - 581*g - 587*g - 588*g - 588*g. -8*g Collect the terms in 395*r**3 - 1194*r**3 - 901*r**3. -1700*r**3 Collect the terms in 6645*l**2 + 17643*l**2 + 10035*l**2. 34323*l**2 Collect the terms in -9*h**2 - 6*h**2 - 6*h**2 + 33*h**2 - 7*h**2. 5*h**2 Collect the terms in -38*h**2 + 240*h**2 - 670*h**2 - 299*h**2. -767*h**2 Collect the terms in -54 - 57 + 0*b +
{ "pile_set_name": "DM Mathematics" }
o? 2 Let t = 241 + -253.9. Let l = t + 13. Is l equal to -2/19? False Let n = 15 + -14. Let f = 0.02 + 0.38. Is f at least as big as n? False Let c(f) = f + 3. Let s be c(3). Suppose -k = 3*q - s*q + 10, 0 = -k + 4*q - 14. Suppose -5*p = 5*w - 3 + 23, 0 = -5*p + w - k. Are p and 0 unequal? True Let i = -21 + 7. Let v = 8 + i. Let r(w) = -w - 2. Let h be r(v). Does 5 = h? False Let u be 25/(-30) + 1 + 2/(-9). Is u smaller than 0? True Suppose 4*n - 6 - 6 = 0. Suppose 28 = n*a - a + 5*y, 2*a + 3*y - 36 = 0. Suppose -d + 4*d + g = -17, 0 = d + 4*g + a. Is d at least as big as -1? False Let t = 1.56 + -1.26. Is 30 at least as big as t? True Let w(g) = g + 4. Let m be w(-6). Let i be 2/(m/1*-1). Is 6 smaller than i? False Let j be ((-3)/(-6))/((-2)/(-392)). Let o be (-2)/(-9) - j/(-693). Are o and 0 nonequal? True Let u = 4454/55 - 81. Is u at most as big as 1? True Let b be 3*(-3)/(-21)*-1. Let g(t) = t**3 + 13*t**2 - 15*t - 15. Let c be g(-14). Which is smaller: b or c? c Let a = -76 + 305/4. Is a <= 24? True Let k = -17 + 18.1. Let w = k - 6.1. Which is greater: -1/3 or w? -1/3 Let u = 54 - 14. Let c be 4/10 - 336/u. Which is greater: -1 or c? -1 Suppose -2*u - 3 = -t - 18, 3*u - 19 = t. Let m = -6 - t. Are -5/6 and m equal? False Suppose 2*b = 2 + 4. Suppose b*x = s + 18, -8 = -x - 4*s - 2. Is 5 less than or equal to x? True Suppose 2*v + 4 = -2*a - 0*v, 0 = a - v + 10. Let n(g) = -g**2 - 5*g + 6. Let d be n(a). Let t = -3 - -2. Which is smaller: t or d? t Let y = -5/8 + 31/24. Let t = 5 - 3. Which is greater: y or t? t Let a = -161 - -2897/18. Which is smaller: a or 0? a Let l = -85 - -74. Which is smaller: -8 or l? l Suppose 0 = 3*x - 7*x - 4. Let c be (-1 - (1 + x))/(-1). Let m = -6 + 8. Is m <= c? False Let c be ((-46)/(-70) + -1)/(33/(-220)). Is c at most as big as 2? False Let d be (-12)/10 + (-2)/(-10). Let g(f) = f**2 + 6*f + 1. Let b be g(-4). Let m be 1/b + (-2)/(-7). Is m at least d? True Let q = -1357 + 39349/29. Which is smaller: q or -1? -1 Let i = -1 + -1. Let m = 1 + i. Let d = -24 + 27. Which is smaller: d or m? m Let z = -865/102 - -11/17. Let n = -8 - z. Which is smaller: n or 0.1? n Suppose -3*i = 4*l - 46 + 14, -3*l + 7 = -2*i. Let y be 12/i - 2*-1. Suppose 15 = 5*v + y. Is 1 < v? True Suppose -3*j - 5*p + 6 = 71, -4*j - 4*p - 76 = 0. Let w be (j/(-20))/((-45)/(-16)). Let g = 1/60 - w. Which is greater: -1 or g? g Let v = -4 + 2. Let y = v - -2. Suppose 2*z - z + 1 = 0. Is y < z? False Let n be ((10/3 - 0) + -3)*3. Suppose -75 = -k - 4*k. Suppose -5*h = -3*c - k, 0*c + c = 3*h - 5. Are h and n nonequal? True Let s = 57.3 - 52.228. Let o = s - -0.028. Let t = -5 + o. Is t < 1? True Let k be ((-17)/(-85))/((-1)/3). Let b(f) = -f**3 - f**2 - 2*f - 2. Let i be b(-2). Suppose r = i*r. Is r at most k? False Let q be -2 + (-1 - (0 + -4)). Let d be (-2)/q - 13/(-5). Let f be 1*-3*(-3)/9. Is d <= f? True Let y be 5*(-16)/(-40) - 4/2. Which is greater: -7 or y? y Let j(z) = z**3 - 6*z**2 + 4*z + 7. Let k be j(5). Let b be (-1)/k*12/10. Which is smaller: b or 0.2? b Let c(r) = -4*r - 9. Let f be c(-5). Which is bigger: f or 12? 12 Let y = -7 - -11. Let p(g) = g**2 + 4*g - 9. Let t be p(-6). Let a = t + 0. Which is smaller: a or y? a Suppose 4*v - h + 60 = 0, 5*v - 2*h + 0*h + 78 = 0. Let x = v + 10. Let b be (-6)/(-9) + (x - -2). Is 0 <= b? False Let b(t) = t**2 + 8*t + 8. Let q be b(-7). Let f = q - 1. Let z be (-30)/22 + -4 + 5. Is z <= f? True Let b be -1*2*(6 + -4). Let n be 19/b + (-4)/16. Let d = 4.1 + -3.9. Does d = n? False Suppose 14*y = 20*y. Is 9 >= y? True Let v = 60 + -53. Let l = -3 + 4. Which is smaller: v or l? l Suppose 0 = -o + 6 + 22. Which is bigger: o or 29? 29 Let j be (-2 - 1) + (-4)/(-1). Let m = 11342/17 - 667. Which is bigger: j or m? j Let z be 18/15 + 4/(-20). Which is smaller: -4/11 or z? -4/11 Let g = 3064/177 - -4/177. Let s = g - 17. Is s > 1? False Let j = -47 + 95. Let x be (-6)/(-21) + j/(-21). Is x equal to -6? False Let a be (-23)/7 - (-2)/7. Let o be 2*((-3 - -8) + a). Is 7 <= o? False Let t be (-4)/8 - 2/(-4). Suppose 3*z - 5*g + 5 = 2*z, -5*z + 4*g - 4 = 0. Suppose z = 4*a - 7*a. Is a greater than t? False Let u be 8/117 - ((-204)/54 + 4). Is u less than or equal to -1? False Suppose -4*q = -2*t - 28, 3*q = -6*t + 2*t - 56. Let m be ((-135)/(-12))/3*-4. Which is smaller: t or m? m Let o be (-6)/28 + 2/4. Suppose -17 + 2 = 3*g, -3*s = 2*g - 50. Suppose 0 = -4*l - 20, -5*w + 4*l + s = -2*w. Is w < o? True Let z(n) = -n**2 + n + 498. Let k be z(0). Let w = -273 + k. Let a = w - 2477/11. Which is greater: -1 or a? a Let y = -99/5 + 18. Which is smaller: -3 or y? -3 Let q be (-2)/(-3)*(-3)/2. Let h(o) = o**3 - 2*o**2 - 2*o - 3. Let s be h(-2). Let c be ((-4)/18)/((-5)/s). Is q != c? True Let s = 3 + -3. Let q = -2.92 + -0.08. Is s >= q? True Let q(l) be the first derivative of 5*l**2/2 - 7*l - 3. Let v be q(11). Let j be v/(-210) + 2/(-10). Which is greater: 1 or j? 1 Suppose -3*p + 17 + 43 = 0. Which is greater: p or 21? 21 Let x = -2 + 2.3. Let y = -47 - -48. Which is greater: y or x? y Suppose 5*j - 15 = 50. Suppose -5*v - x = -75, 0 = 5*v + 34*x - 35*x - 65. Is v greater than j? True Let r(n) = n - 7. Let c be r(8). Let h be 0 + c - 21/28. Which is smaller: 0 or h? 0 Suppose u + 30 - 3 = -3*o, 0 = 5*u - 15. Let t be (-2)/o + (-2)/10. Suppose t*q - 3*q + 6 = 0. Is 2 < q? False Let t = 4 - 5. Let n = t - -3. Suppose 2*j + n*j = 0. Is j at most as big as -1/5? False Let x = -224/45 - -26/5. Suppose 4*l = s - 1, 3*s - 12 - 5 = -2*l. Suppose 5*j + 10 = 4*i - 10, 4*j - i = -s. Which is smaller: x or j? j Suppose -3*n = -140 - 16. Suppose 5*t = -2*d + 27, 3*d + t = n - 18. Which is smaller: d or 10? 10 Let j = 11 + -12. Let y be ((-6)/(-10))/((-8)/(-5)). Is y <= j? False Let f = -9 - -11. Let y = f + -1. Let p = 0.5 + 0. Which is smaller: p or y? p Let w be ((-9)/54)/(1*3). Which is smaller: 0 or w? w Suppose -156 = 13*w - 7*w. Which is bigger: w or -27? w Let s(k) = 3*k**2 - k + 1. Let a be s(2). Are a and 11 nonequal? False Let x = 17.4 - 20. Let d = 1.4 - x. Is d < -0.1? False Let k be 3*(-3)/(-27)*9/(-3). Which is bigger: 2.2 or k? 2.2 Let v = 34 + -373/11. Which is greater: v or -1? v Suppose -6*c - c = -49. Is 8 <= c? False Suppose 9 = -o + 5*o - 5*k, 13 = -2*o - k. Let n(y) = -y**2 - 6*y - 9. Let z be n(-6). Let h = z - -5. Is o at least as big as h? True Suppose 0 = -u - 2*b + 4*b + 4, 4 = u + 2*b. Suppose u = n + 12. Let x be 8/(-20) + n/(-10). Is x smaller than 0.4? False Let g = -1.5 + 9.5. Let w = -8.1 + g. Is w != -2? True Suppose 11 = -3*n + 2*n - 5*j, 0 = -3*n - 5*j - 3. Let x = n + -3. Let s be (0/3*-1)/x. Is 2/15 less than s? False Let n be (-2)/(-11) + (-435)/33. Which is greater: n or -12? -12 Let r(m) = m**2 - 6*m + 3. Suppose -2 = -g + 6. Suppose -g = -b - 2. Let x be r(b). Is 3 <= x? True Let m = 102.6 + -103. Is m < 1? True Let j = -0.42 - -0.02. Let h = -0.3 - j. Let r = h + -0.3. Which is greater: 2/3 or r? 2/3 Let d(p) = p**2 - p + 1. Let k be d(1). Let q be 0 + (-2 - -6 - k). Suppose 7*b - 4 = q*b. Which is smaller: 2 or b? b Let m = -8/3 + 29/12. Which is smaller: m or 11? m Suppose 0 = 2*h + 2*k + 2*k - 22, -2*h - 3*k = -17. Suppose 0 = -0*m - 3*m + 12, 3*u + h = m. Which is smaller: u or 0? 0 Let b(z) = z + 1. Let h be b(5). Let i(s) = s**3 + 12*s**2 + 9*s - 16. Let o be i(-11). Is o < h? False Let a(c) = c + 3. Let z be a(-7). Let u be 2/z - (-6)/4. Which is smaller: 2/21 or u? 2/21 Let l be 2/6 + 174/18. Let d be l/75 - 1/(-5). Which is greater: 0 or d? d Suppose 0 = -v + 12 + 3. Let m be v/10*12/(-9). Is m equal to -2? True Let l = 1/34 + -87/646. Is l smaller than -1? False Let j = 14 + -13.8. Which is smaller: -2 or j? -2 Suppose z = -2*z + 6. Let d be z/11 + 9/(-231). Which is smaller: d or -1? -1 Let y(v) = v + 11. Let t be y(-11). Let u(i) = i**3 + 4. Let m be u(t). Suppose 2 + 8 = 2*h. Which is bigger: h or m? h Let n be 2 + (-2)/((-2)/(-3)). Which is greater: -2 or n? n Let o = 9/4 - 3/2. Let t = 3 + -1. Is t at least o? True Let r = 2 + -2.1. Let g = 0.08 - 0.1. Which is bigger: g or r? g Suppose -14 = -2*o + 2*b, o - 2*b = -2*o + 17. Suppose -5*a + 1 = o*m + 5, 5*a - 11 = 2*m. Let w be ((-6)/m)/2*-1. Which is smaller: 2/5 or w? w Let p = 0.13 + 0.27. Let m
{ "pile_set_name": "DM Mathematics" }
- 4*r. What is the nearest to i in 18, 3, -2, -0.1? -0.1 Let a = -17703 + 17707. What is the closest to a in -1/2, 35, 0? 0 Let p be (-2232)/162 - -8 - -6. Let n = 3/5 - 1/10. What is the nearest to n in p, -1, -7/2? p Let n = 0.1436 + 1124.8564. Let p = 1124.9 - n. Let f = 3 - 1. What is the closest to f in p, -4, -2/19? p Suppose -27 + 30 = l. Let h be 3*l/9 - -4. Which is the nearest to -4? (a) h (b) -2/15 (c) 2 b Suppose 602 = -16*i + 570. Let n = -2.2 - 2.8. What is the nearest to 0.14 in i, n, 4? i Suppose 76 = -5*v - 11*v - 3*v. What is the closest to -2 in 117, v, 0.1, 0.2? v Let x = 3.48 - 3.38. Which is the nearest to -19? (a) -4 (b) x (c) 3 (d) 0 a Suppose -13*p - 46*p - 236 = 0. What is the nearest to 0.2 in 3/7, p, 0.4, -0.5? 0.4 Let j = 719.1 - 719. What is the closest to -49 in -3, -5, j? -5 Let k = 84880.4 - 84880. Let p = 6 + -8. What is the nearest to p in k, 1/3, 0.1? 0.1 Let l = -0.036 - 0.05. Let w = l + -1.314. Let u = w - 1.6. Which is the nearest to 1? (a) -0.03 (b) u (c) 4 a Suppose 0 = -s - 5*r - 17, -r - 1 = 2. Let a be 9/18*s*1. Let q be (-185)/1110*-1*(-2)/(-1). What is the closest to 2/7 in -2/5, q, a? q Let x be (8/10)/((-44)/(-110)). Let i = -0.82 + 1.22. Which is the closest to i? (a) x (b) -0.08 (c) 0.4 c Let i = 207.5 + -208. Let t = 0.07 + 0.23. Let g be (-3)/(-8) + 4/(-16). What is the nearest to 0.05 in g, i, t? g Let t = 4.02726 - 0.02726. What is the nearest to 2/5 in t, 5, 22, -2/5? -2/5 Let v be ((-120)/(-84))/(3/(-7))*4/60. Which is the closest to v? (a) -0.3 (b) 3 (c) -39 (d) 4 a Let w be (4/26)/(13350/(-325) - -42). Which is the nearest to 9? (a) 4 (b) -0.05 (c) -2/19 (d) w a Let f = -10303 + 10303.3. What is the nearest to f in 1, -2, 0? 0 Suppose -3*h + 3 - 21 = 0. Let x be 3 + 0 - (1*h)/(-3). Let y be (((-3)/9 + x)/2)/(-1). What is the closest to 0 in 20, y, -0.5? y Let l be ((-16)/(-24))/(-2 - -416*8/1644). Which is the nearest to l? (a) -4 (b) -0.4 (c) -2/19 c Let i(a) = 16*a - 1038. Let h be i(65). Suppose 2*d + 4 = 0, 3*d = -2*o - 2*d - 10. Suppose 0 = -q - o*q. What is the closest to -0.2 in 7, h, q? q Let q = 3421 + -3419. Which is the closest to q? (a) -5.8 (b) -1/4 (c) -0.3 (d) 4 d Let f(d) = d**2 + 2*d - 3. Suppose 0 = -3*m + 5*z + 13, m + 5*z + 7 = z. Let q be f(m). Which is the closest to q? (a) 0 (b) 0.03 (c) 4 a Let a = -519.05 + 525. Let d = a - 6.05. What is the closest to 323 in d, -0.5, -2/7? d Let d = -0.25 + -0.25. Let y(i) = -i**3 + 14*i**2 - 4*i + 5. Let z be y(14). Let o = -256/5 - z. Which is the nearest to -2/3? (a) d (b) 4/5 (c) o a Let f = -1 - 4. Let u = 567206/5 - 113830. Let a = 390 + u. What is the nearest to 1 in a, 0, f? a Let o(m) = m**3 - 17*m**2 + 2*m - 27. Let v be o(17). Let t be (-1 - -2)/(v - 18). Let g = -4923/5 - -985. Which is the closest to g? (a) t (b) 2/5 (c) 5 b Let q be (3/3)/1 - 0. Let k = 34 - 31. Let m be k/36 + (-3)/4. Which is the closest to q? (a) 2 (b) m (c) -1 a Suppose 70*j = -20*j - 90. Which is the closest to 0.1? (a) -0.5 (b) 0.5 (c) 0.714 (d) j b Suppose 2 = 5*j + 2*g + 1, -3*g = 6. Let y = 6573 + -6567. What is the nearest to 0 in y, j, 0? 0 Let z = -6 - -17/3. Suppose 3*w + 3*x - 30 = 0, 305*x - 25 = -w + 301*x. Which is the closest to 1? (a) z (b) w (c) 1 c Let z be 905/(-181) - (-5 - -1). What is the closest to -1 in z, 0.07, 0? z Let d = 1948 - 1994. Let f = 187 + -134. Let y = f + d. Which is the closest to 1? (a) 0.5 (b) 2 (c) y a Let w = -0.81 + -65.19. Let i = w - -51. Let p = -11 - i. What is the closest to 0.2 in 0.3, p, 0.4? 0.3 Suppose -238*g + 5*b = -233*g + 365, -4*g + 3*b = 290. What is the nearest to -1 in g, -1, 1, 2? -1 Let p = 3 + -5. Let n be 120/100*(-11)/11*10/18. Which is the closest to n? (a) 2/13 (b) p (c) 5 a Let n = -1.3 - -0.3. Let u = 17.6 - 63. Let t = u + 45.2. Which is the nearest to t? (a) n (b) -2 (c) -3/5 c Suppose 1 = -b + 5*y + 15, 32 = -2*b - 5*y. Let i be (-9)/b*(-2)/12. What is the nearest to -0.06 in i, -3, 5? i Let y = -4967.02 + 4967. Which is the closest to 0? (a) -4 (b) -5 (c) y c Let z = 112.15 + -0.15. Let h = z + -115. What is the closest to 2 in -5, 0.4, h? 0.4 Let t = -2276 + 11384/5. What is the nearest to -1 in t, 0.39, 0.4, -0.4? -0.4 Let r = 2.29 + -3.29. What is the closest to r in 2, 2/13, -1, -9? -1 Let m = -27 + 25. Let p = 120 - 180. Let o = -59.5 - p. Which is the closest to m? (a) -2 (b) o (c) -1/2 a Let u = -1152 + 1143. Let h = 41 - 40. Which is the nearest to 0.1? (a) u (b) -4 (c) h c Let p be (-5020)/(-3765) + 28/(-30). Let x = -6/17 + -21/85. Let v = 1 - 1. Which is the nearest to p? (a) x (b) -4 (c) v c Let n be (-15 + 35)/(-280) + 295/14. Which is the nearest to -6? (a) 1 (b) n (c) 0.3 c Let f be (-16)/(-30) - 2/6. Let u = -38.7491 + -0.0509. Let a = u + 37.8. What is the closest to a in -5, f, -2? -2 Let j = -4 - -1. Let k = -0.268514 - 0.231486. What is the nearest to -0.2 in k, j, -0.3? -0.3 Let z = 0.501 - 0.221. Let l = 0.82 + z. Which is the closest to -1? (a) 5/4 (b) l (c) -3 c Let u = 36.879 + -42.18. Let w = u + 0.301. Which is the nearest to 1? (a) -2/5 (b) 2 (c) w (d) 0.21 d Let j = -4.1727 + 0.1727. What is the nearest to 0 in -5, j, -104, 0.2? 0.2 Let w = 118.601 + -118.301. Let k = 3 - 1. Which is the nearest to k? (a) w (b) -1 (c) -3 a Suppose 0 = 5*p + n - 15, 5*n + 2 = -2*p + 3*n. Let l be (2/(-6))/(36/(-27)). Which is the nearest to 1? (a) l (b) p (c) 14/15 c Let h = -35110 + 35110. Let s = -0.8 - 0.2. What is the nearest to -0.08 in -3, 4, s, h? h Let d = -44.9 - -45. Suppose -5*x + 2*g = -39, x - 3*g - 9 = -x. Let j(h) = h - 14. Let p be j(x). Which is the closest to d? (a) p (b) -3 (c) -1/4 c Let z = 1.22 - 1.5. Let k = 46/3 + -83/6. Let j = 5.11772 + -0.11772. Which is the nearest to z? (a) j (b) k (c) -1/4 c Let c = -4.465 - -5.465. What is the closest to -1/4 in 2, c, 2/39, 8? 2/39 Let m = -12373 + 12328. Which is the nearest to -3? (a) 0 (b) m (c) -1/6 (d) 0.5 c Let i = -2.82 + 3.2. Let m = 0.628 - i. Let n = m - -0.052. Which is the nearest to 2? (a) n (b) -0.5 (c) 2 c Let s = -1794/11 - -23344/143. What is the nearest to -0.15 in s, -0.4, 0.5, 0.3? -0.4 Let t = 9161 - 9159. Which is the nearest to 0.1? (a) -0.2 (b) -22 (c) -5 (d) t a Let o = -25.942 + 26.6. Let c = 4.658 - o. Let r = 78 + -236/3. What is the nearest to 2/7 in r, c, 0? 0 Let i = 8068 - 8076. Which is the nearest to 3/5? (a) 1/3 (b) -1 (c) i a Let n = -4300 - -4295. Which is the nearest to 4? (a) 0.39 (b) -6 (c) n (d) 0.1 a Let j = -0.059 - -24.059. Let y = j + -14.9. Let h = -4.1 + y. Which is the closest to 1/3? (a) -1 (b) h (c) -5 a Let r = 0.2047 - 0.0947. Let n be ((-3)/24)/(3/4). What is the nearest to -2 in 5, r, n? n Let q = -2.259 - -0.099. Let c = -1.86 - q. Let s = -1 - -1.4. What is the nearest to -0.1 in s, c, 4/3? c Suppose 5*m + 2*h = -13, 0 = -3*m + h - 3*h - 11. Suppose 6*i - 90 = 294. Let y be -4*8/i + (-1)/(-3). Which is the closest to -0.1? (a) -4 (b) m (c) y c Let r = 362.65 - 363. Let s = r + -0.05. Which is the nearest to -2? (a) 1 (b) 0.7 (c) s c Suppose 345*d + 30 = 355*d. What is the nearest to 0 in -4, -12, d? d Let d = -3.79 + 254.79. Let f = -250 + d. Which is the closest to f? (a) -4 (b) -0.4 (c) 4 b Let l(m) = 11*m + 100. Suppose -f - 45 = 5*u, -4 = 3*u + 2*f - 6*f. Let z be l(u). Which is the nearest to -1? (a) 5 (b) z (c) -5 c Let i be (-49)/(11466/(-260))*3/20. What is the nearest to 0.2 in 1/11, -0.16, i, 3? i Let n = -12647 + 12644. Which is the closest to 3? (a) n (b) -0.1 (c) -2/19 (d) 21 b Let u = -8.968 + -0.032. Let y be -14 + 13 + 1*(-33)/(-39). What is the closest to 2/7 in u, y, 3/4? y Let n be (-1 - 2)*(-1 - (-1 + -2)). Let q be 98*5/60*n/(-20). Let o = 9/4 - q. What is the closest to -0.1 in 1/5, -1/7, o? -1/7 Suppose 0 = -187*i + 192*i + 5. Let o = -1.8 - -1.95. Let z = -0.85 - o. Which is the nearest to z? (a) i (b) 4 (c) -0.1 a Let x = 12959 + -12955. Let k = -9.1 - -0.1. Let f = k + 12. Which is the nearest to 0.1? (a) f (b) -3 (c) x a Let y(h) = 6*h + 82. Let k be y(-11). Let p be ((-2)/4)/(-5 + 100/k). Which is the nearest to 0? (a) p (b) 2/43 (c) 0 c Let p be ((-8)/(-60)*-2)/((-4)/(-66))
{ "pile_set_name": "DM Mathematics" }
he value of (-24*(-20)/(-75))/((-58)/(-290))? -32 Calculate (-6*(-3)/12 - -1)/((-158)/316). -5 What is the value of (-8)/12 - (5/(-1))/(15 + -12)? 1 What is 300/(-400)*4/12? -1/4 What is the value of (-21 + -5 + 25)*8? -8 What is (6/(-4))/((-16533)/(-668))? -2/33 What is 10/75 - (1 + (-9)/(405/66))? 3/5 Calculate ((-6)/24*-18 + -2)*(-96)/240. -1 Calculate (-60)/18*(-2 - 22/(-5)) - -13. 5 ((-1581)/(-68))/31 - (-2 - 27/(-12)) 1/2 Calculate -14 + (-1464)/(-108) + 80/(-180). -8/9 What is ((-144996)/(-2688))/(-43) + (-36)/(-28)? 1/32 What is the value of (2 - 60/27)*(-24 + (-2277)/(-92))? -1/6 0/(9 - 4) - (2 - 10) 8 What is (372/748*17 - (-6)/11)*1? 9 What is (-4960)/6975 - -3*2/10? -1/9 Calculate ((-9)/(-99) + 7155/66)*(-10)/(-35). 31 1 - (2/2 - (-144)/(-768)) 3/16 What is the value of ((-1764)/392)/((2/(-4))/((-5)/5))? -9 Calculate (-9)/216 + (-408)/(-576). 2/3 Calculate (6*(-24)/126)/(-56 - -52). 2/7 Calculate 1000/150 + (-24)/9. 4 Calculate 1 + 57/(-4) + (-253)/(-1012). -13 Calculate 22/(-825)*10*(-10)/20. 2/15 (81/15)/(-3*(-1)/(-25)*-5) 9 What is the value of 4 + (40 - 26) + 14? 32 What is 8/32*(7 + -3) - -11*2? 23 What is (2/8)/((-274)/7672)? -7 Evaluate (8771/(-147) - -57)*(2/(-4) + -1). 4 Evaluate (-85)/153 - 580/90. -7 What is the value of 22/(-187) - 120/(-1020)? 0 Evaluate -16*((36/(-3))/6 - (-24)/8). -16 What is the value of (16*(-7)/(-224))/(10/(-16))? -4/5 ((-8)/(-2))/((-12)/(-27))*4/(-6) -6 Evaluate (1/1)/(-1)*(-52)/(-195). -4/15 What is the value of 1 - (-22)/42 - 3668/5502? 6/7 Calculate (-2)/9*3*-51*396/(-748). -18 What is ((6/20)/((-12)/4))/(202/(-6868))? 17/5 Evaluate (-6)/2*(-3367)/(-2886). -7/2 Calculate (-4)/224*-24*-14. -6 What is the value of (232/80)/(78/780)? 29 What is the value of (-380)/(-90)*(-468)/104? -19 Evaluate ((3/(-99))/1*2)/((-48)/(-72)). -1/11 What is 3/((-300)/685) + (-5 - -12)? 3/20 Evaluate (1/(-2))/((-70)/(-117) - 144/324). -13/4 ((-4)/((-60)/45))/((-6)/16) -8 Calculate 9/(-6)*(-34)/68. 3/4 87/(-24) - (-13 + (1 - -8)) 3/8 -18*(-15)/(-35)*(-112)/(-72) -12 Calculate (-60)/22*(-227)/(-1135). -6/11 What is the value of (394/(-2167))/((-2)/(-66))? -6 Calculate 2/6 + 71/3 + -35 + 26. 15 (14 - 645/45)/((-5)/45) 3 Calculate ((-56)/36 - 4/(-18))/(-3). 4/9 What is 3/4*(3 - ((-264)/(-28) + -7))? 3/7 Evaluate (-1)/((-60)/12) - (-1)/45. 2/9 -8*((-7)/(-14))/(-1) 4 Evaluate (285/(-190))/(-1 - (-38)/8). -2/5 Evaluate (1 - 0) + 322/(-46) - (15 + -19). -2 What is (5238/6111)/(9/(-14))? -4/3 Calculate ((-103 - -92) + 83/8)*(-8)/10. 1/2 What is 20/2 + (-385)/11? -25 Evaluate (-20)/200 + 7/((-350)/(-755)). 15 Calculate (128/4992)/(2/(1*-3 - 0)). -1/26 What is the value of (7/(105/9))/((-308)/110)? -3/14 Calculate 14/(-28) - (-1530)/(-60). -26 Evaluate (780/(-1040))/((-6)/32). 4 Evaluate 0/((-30)/(11 - 21)). 0 What is the value of ((-48)/3696 - (-9)/(-33))*(-182)/4? 13 Calculate 8*(-19 + 3689/186)/(15/4). 16/9 Evaluate (-168)/924 - (-54)/176. 1/8 (21 + -9)/2 - (-920)/(-155) 2/31 What is (-858)/153 - (-187)/(-3179)? -17/3 What is (1652/(-112) + 16)*-20? -25 What is the value of (-120)/576*12/(-20)? 1/8 Evaluate (-24)/((-4)/2) - (56 - 60). 16 Evaluate 32640/2856 - ((-17)/(-7) - 1). 10 (3/(-7))/((-783)/522) 2/7 Calculate (51 - 22) + (-275)/10. 3/2 Evaluate (60/(-100))/(9/(-105)) + -9. -2 Evaluate (-6*(-10)/595)/(-6*(-2)/(-42)). -6/17 What is the value of -3 - (5814/731 - 11)? 2/43 Calculate (-10)/(-4) + 11/11 + 93/(-30). 2/5 Evaluate ((-56)/(-16))/(-7)*4/8. -1/4 What is -5 - (5/(-6) + ((-7)/(-210) - 3))? -6/5 (7 - -15 - 30)*(-3 + 2)/(-1) -8 Calculate (-140)/(-120) + (610/(-60) - -9). 0 Evaluate ((-24)/(-10))/(1/(-5) - (-50)/125). 12 (-392)/144 + 3 + (3 - (-85)/(-30)) 4/9 What is the value of (6/(-18)*-3)/(-16)*176/220? -1/20 What is 5/(((-297)/(-1782))/((-2)/(-12)))? 5 Calculate 128/112*(-2)/12*3. -4/7 What is -3*(-3 + 370/90)*(-6)/(-4)? -5 -62 + -3 + 1 + 34 -30 What is ((-25)/20 + 1)/(1771/(-220) - -8)? 5 Evaluate 17/(-11 + 1 + (7 - 2) - -4). -17 What is the value of -4 - (-186)/589*-38? -16 Evaluate 108/243*(-12)/64. -1/12 Calculate (110/(-15))/(12/(-6)) - 3. 2/3 What is -4 - 182/(-40) - (6 - 50/8)? 4/5 (-8)/(-12)*(-6)/18*189/(-2) 21 What is 46/69 + (-230)/(-15)? 16 -9 + 151 + -140 + (-20)/(-1) 22 What is the value of (-3*(-18)/360)/(9/(-4))? -1/15 Calculate 8 + -183*(-2)/(17/(102/(-270))). -2/15 What is the value of (-18)/(-153) + (-560)/2737? -2/23 Calculate (-20)/18*((-1944)/135)/36. 4/9 What is ((120/32)/15 + 0)/(-6 + 7)? 1/4 What is the value of (-14 - 2)/(-8)*15/(-3)? -10 What is 6402/330 + (2 - 49/35)? 20 What is (-42)/(-98)*126/1377? 2/51 (4/5)/((46/(-15))/((-7)/(-21))) -2/23 (2/(-8))/((-25)/(-80)) -4/5 Calculate ((-28)/42)/(26/117). -3 What is 30/45 + -69*(-14)/63? 16 (-1)/(-4)*(-192)/72 -2/3 What is 4/14*(2592/(-48) + 56)? 4/7 Calculate (2327/(-358))/((-21)/(-6) - 4). 13 Calculate (-276 + 276)*1/(-20). 0 What is 296/(-111)*(-15)/(-4)? -10 Calculate -2*266/(-98) + (-3 - -2) + -5. -4/7 What is 3 + 609/(-27) + (-236)/531? -20 Calculate ((-18)/45)/(98/(-1225)). 5 What is ((-1)/(-12))/((112/336)/((-2)/(-6)))? 1/12 What is (-1761)/42264*(-8)/(-11)? -1/33 What is (-44)/(-242) + (200/(-110))/(-10)? 4/11 What is ((-306)/45 - -6)/((-5)/(150/12))? 2 What is 2/2 - 344/516? 1/3 Evaluate (7/(-2))/(16*(-13)/(-416)). -7 Calculate ((-42)/280)/(32/10 - 3). -3/4 What is 3/(-6)*13872/1445? -24/5 Evaluate (3 - 13/3)*-1. 4/3 (-811 - -808) + (-456)/(-170) - 2/(-17) -1/5 What is (-11310)/(-290) - 11*(0 + 1)? 28 (-80)/(-12)*((-1)/(-6) + 806/780) 8 What is the value of 5 - -8 - ((-15 - -11) + 16)? 1 Evaluate (-122496)/828704 + 2/19. -2/47 Evaluate (-87)/116 + 75/25 + (-11)/4. -1/2 What is (-18)/77*(-77)/(-308)*-14? 9/11 What is ((-2445)/(-8802))/(1/(3/(-20)))? -1/24 Evaluate -12 + -4 + 6 + 3*(9 + -8). -7 What is (-54)/27*(5 + (305/(-25) - -7))? 2/5 (7/((-49)/18))/((-7)/((-980)/330)) -12/11 Evaluate (-1756)/296325 - (-4 - (3 + 692/(-100))). 2/27 Evaluate 630/(-945) - (-61)/6. 19/2 Evaluate 5/(-1) - (116/290 + 261/(-40)). 9/8 What is 75/30*138/(-322)*(-4)/5? 6/7 What is the value of (-2 - -3)/(2/(-12)) - (-2312)/374? 2/11 Calculate (-18*((-11)/2 - (-17 + 11)))/(-1). 9 Calculate 51/(-220)*-2 + 104/2860. 1/2 What is ((-851)/(-115) - 7)/(((-64)/(-15))/8)? 3/4 Evaluate ((-2)/14)/(447/(-1043)). 1/3 Calculate (-4)/((-56)/(-266)) + 15. -4 What is ((-873)/3395)/(6/14)? -3/5 Evaluate (1 - (0 - 24/(-21)))*36/(-9). 4/7 What is (-24*(-25)/15)/(5/2)? 16 What is the value of 15/(-4)*8/120*-12? 3 What is 17 - (19 - 19/(133/70))? 8 ((-22)/(-6))/(128/(-768)) + 1*7 -15 What is the value of ((-1680)/216)/35 + -1*62/(-36)? 3/2 Evaluate (-46)/2093*13 - (-5)/(-7). -1 What is 248/(-25) + 11 + 2 + -3? 2/25 247/26 - 16 - (-4 - 0) -5/2 What is the value of (-13 - -9)/(3/6)? -8 What is the value of (-11 - 1147/(-31)) + -12? 14 Evaluate ((-5)/(-25)*0)/(12/(10 + -6)). 0 Evaluate (2*1)/((-9990)/(-2997)) - 47/95. 2/19 What is 87/6 - (273/42 - 5/1)? 13 (-3)/(-1)*(-8)/72*6 + 6 4 What is the value of (1 + 0)*((-35)/(-14)*6 + -44)? -29 Calculate ((-13)/(-26))/((-49)/2940). -30 What is the value of (-120)/(-800) - (-6)/10? 3/4 What is 3/(-30) - 5797/(-2170)? 18/7 (-4 - -2)*(-78)/260*-1 -3/5 Evaluate 170/(-45) + -2 - 7/567*18. -6 (-1010)/(-1035) + 248/(-279) 2/23 What is (3 - 860/280) + (-2)/21? -1/6 What is (752/48 + -14)/(1/(-15))? -25 What is (1*(-195)/60)/(2 + 5/(-2))? 13/2 Calculate (2/4 + 0)/(35 + 26275/(-750)). -15 Calculate (7 - 1332/192)*8. 1/2 Calculate 71/(-9) - ((-6138)/162 - -39). -9 What is the value of (8/(-18))/(-60 - (-63162)/1053)? 26 Evaluate 11 - (17 + -8 + -1). 3 (-31)/(-930)*282 - (-7)/(-5) 8 Evaluate (-1)/16*36/(-27). 1/12 Evaluate (180/(-16))/9*((5 - 2) + 1). -5 What is the value of 2 + ((-151)/(-4077))/(1/(-12))? 14/9 Calculate 484/(-176) + 7/((-21)/(-6)). -3/4 What is the value of 27/(-108)*((-184)/8 - 1)? 6 Calculate (-635)/(-570) - (-3)/((-108)/42). -1/19 What is ((-374)/1309)/(150/126)? -6/25 What is the value of (-1)/((-14)/(-266)) + (-6)/(-3 + 1)? -16 What is ((-330)/50 - -7)/(18/45)? 1 Evaluate ((-4)/10)/((1/(-42))/(420/(-2016))). -7/2 Calculate 5 + 678/(-27) + 20. -1/9 (-4)/(-3)*((-387)/(-126) + (-4)/56) 4 Evaluate 12/(-736)*-4*(272/12)/(-17). -2/23 (-376)/560 - (-8)/80 -4/7 What is the value of (-42)/(-20)*1000/900? 7/3 Calculate ((-104)/130)/
{ "pile_set_name": "DM Mathematics" }
- u - 4*u + (-2*u + 2*u + 2*u)*(2 - 1 + 1))*(-2*u**2 + u**2 - u**2 - 2*u) to a*u**2 + x*u**3 + n + q*u and give x. -14 Rearrange (3 - 3 - 5*d)*(4 + 1 - 3)*(4*d**2 + 3 - 3) - d**3 + d**3 + d**3 to f*d**3 + p + g*d**2 + v*d and give f. -39 Rearrange -3*n - 7*n - n - 3*n to h*n + k and give h. -14 Rearrange 7 + 38*q + 0 - 3 - 2 to the form f*q + w and give f. 38 Express 3 + 0 + 2 - 3*p**2 + 2*p**2 as l*p**2 + q + g*p and give l. -1 Rearrange ((m + 4*m - 3*m)*(3*m + m - 5*m) - 3*m**2 - 6*m**2 + 5*m**2)*(-m - m + 3*m) to the form f + w*m + d*m**2 + g*m**3 and give g. -6 Express -38*b**3 + 6*b + 2*b + 41*b**3 as o + h*b**3 + l*b + q*b**2 and give h. 3 Express -16*b**3 - 2 + 8*b**3 + 3*b**3 + 1 + 3*b**2 + b**4 in the form h*b + o*b**4 + n + g*b**3 + q*b**2 and give q. 3 Rearrange 17*z - 3*z + z to y*z + t and give y. 15 Express (-1 - 8 + 7 + 10*t)*(-1 - 1 - 2) as r + y*t and give y. -40 Rearrange 13*h - 12*h**2 + 12*h**2 + 6*h**3 - 4*h**3 to t*h**2 + s*h**3 + p + x*h and give x. 13 Express -5 - 6*p**3 - 3*p + 10*p**3 - 3*p**3 in the form l*p**2 + c*p**3 + z*p + t and give z. -3 Rearrange (1 - 2 + 0)*(-95 - 93 - 5*c**2 + 182) to g*c + m + r*c**2 and give r. 5 Rearrange (2*o**3 + 2 - 2)*(0*o - o - o) + 5*o**4 - 125*o**4 + 40*o**4 - 206*o**4 to i*o**3 + g*o + m + h*o**4 + r*o**2 and give r. 0 Express (0 - 2*c + 0)*(0*c - 2*c - 2*c) + (c - 2 + 2)*(-c - 2 + 2) + 156 - 156 + 34*c**2 in the form h*c + k*c**2 + r and give h. 0 Rearrange (-104*i + 33*i - 6*i)*(-1 + 1 + i) to the form v*i + m*i**2 + k and give m. -77 Rearrange (-4 + 2 - 3)*(-1 - 2*d + 1) to l + h*d and give h. 10 Rearrange (1 - 2*n - 1)*(-141*n**3 - 27*n**3 + 20*n**3) to the form a + c*n**2 + h*n**3 + q*n**4 + x*n and give h. 0 Express (1 + 2 - 1)*(-2*y + 2 - 2)*(0 + 0 - 1) as x + l*y and give l. 4 Express (0*r - 2*r + r)*(2 - 2 + 2) + 7 - 6 + 0 - 3*r as v + p*r and give p. -5 Express (2*g**2 + 3*g**2 - 4*g**2)*(710 - 710 + 80*g) in the form x*g**3 + c*g**2 + o + i*g and give x. 80 Rearrange -2*t**2 - t + 5 + 12*t**3 - 31*t**4 + 3*t**2 - 10*t**3 + 32*t**4 to the form i*t**3 + q*t**2 + l + n*t**4 + d*t and give d. -1 Rearrange (2*p**2 + p**4 - 2*p**2)*(0 + 2 - 11)*(3 - 5 + 0)*(4 + 1 - 1) + 3*p**4 - 2*p**4 + p**4 to the form b + g*p**4 + l*p**3 + a*p**2 + i*p and give g. 74 Express (5*q - 2*q - 4*q)*(2*q - 4*q + q) + (-3 + 6 + 1)*(0*q + 0*q + 2*q**2) as f + m*q + s*q**2 and give s. 9 Rearrange -110 + 110 - 6*t to the form x*t + a and give x. -6 Express 68*u**2 + 68*u**2 - 115*u**2 in the form f*u + x*u**2 + s and give x. 21 Express 4*l**3 - 4*l**4 - 2 + 2*l**4 - 2*l - 3*l**3 + 0*l**4 as j*l**3 + z*l + p + y*l**2 + h*l**4 and give p. -2 Rearrange (1 + 1 - 3)*(-2 + 4 - 3)*(0 - 2 + 0)*(2*d - 2 + 2)*(-d - d + 0*d) to l + g*d**2 + r*d and give g. 8 Rearrange 31 - 35 + 16*j**2 + 3 to the form g + h*j**2 + n*j and give h. 16 Express 15*l**2 - 25*l**2 - 96*l**2 as j + o*l + t*l**2 and give t. -106 Rearrange -3*q**4 + 4*q**4 + q**4 + (4 + 7 - 3)*(2*q**4 - q**4 - 2*q**4) - 3*q**4 + 3*q**4 - q**4 to the form x*q + i*q**2 + g + w*q**4 + r*q**3 and give w. -7 Express -28*t - 24 + 24 in the form r + l*t and give l. -28 Express -l**3 - 45*l**2 - l + 46*l**2 - 3 - 5*l**3 + 4*l**3 as q*l**2 + n*l**3 + i + r*l and give n. -2 Express 13*s**2 - 13 + 13 as u*s**2 + y + o*s and give u. 13 Rearrange 3*n - 4*n**3 + 1 - 2*n**3 + 2*n - 4*n to q*n**3 + g*n + p + u*n**2 and give g. 1 Rearrange (-1 + 1 - 4)*(-3*z**3 + 7*z**3 + 5*z**3)*(-5*z + 2 + 5*z - z) to the form j*z**2 + v*z + w*z**4 + c + d*z**3 and give w. 36 Express ((-2*j + 2 - 2)*(4 + 1 - 3) + (-4 - 5 + 6)*(j + j - j))*(0*j + j - 2*j)*(-5*j + 3*j + j) in the form h*j**2 + o*j + y + w*j**3 and give w. -7 Rearrange (1 + 4 - 4)*(103*l**3 + 15*l + 0*l - 10*l) to v*l**3 + u*l + j + n*l**2 and give u. 5 Express (-3*m**2 + 0*m**2 + 5*m**2)*(11*m + 11*m + 5*m) in the form q*m**3 + l*m**2 + k + n*m and give q. 54 Express 5*k**3 - 1 + 2*k**3 - k - k**3 in the form w*k + z*k**3 + v + b*k**2 and give w. -1 Express -81*p**3 + 0*p**2 + 88*p**3 - p**2 as w + l*p**3 + a*p + h*p**2 and give l. 7 Express 4*t**2 - 37 - 3*t**2 - 4*t**2 + 2*t**2 as i*t + w + s*t**2 and give w. -37 Express (-f - f + 0*f)*(1 - 1 + 2*f) + f**2 + 8*f**2 - 3*f**2 + f**2 + 1 - 5 + 7 as o + p*f + c*f**2 and give c. 3 Rearrange (y + 0*y + 2*y)*(-152*y**2 + 2 - 7*y - 158*y**2 + 308*y**2) to the form u*y**2 + w*y + f + t*y**3 and give t. -6 Express 17*g - 32*g**4 - 4*g**3 + 6*g**3 - 31*g**4 + 61*g**4 in the form x*g + d + o*g**3 + r*g**2 + c*g**4 and give x. 17 Express 4 + 7*c - 5 + 1 in the form g*c + t and give g. 7 Express (4 + g - 4)*(0 + 2 - 2 + 44*g**3) as p*g + k*g**2 + m*g**4 + y + h*g**3 and give m. 44 Express -19*a**3 + a**2 - a**4 - a + 16*a**3 + 2*a**4 - 1 as c*a**4 + l*a**3 + w*a + s*a**2 + m and give w. -1 Rearrange (2*b + 3*b - 3*b + 2*b - 1 + 1 + (0 - 3 + 1)*(5*b + b - 4*b) - 4*b + 2*b + 3*b)*(-1 - 5 + 4) to k + c*b and give c. -2 Rearrange (-2 + 2 + 2*f)*(3 - 2 + 12*f**2 - 3*f - 10*f**2) to u*f**3 + g*f**2 + j + l*f and give l. 2 Express (3*m**2 - 22*m**2 - 13*m**2 - 8*m**2)*(-2*m + 3*m + 0*m) as l*m**2 + t*m + v*m**3 + n and give v. -40 Express 13*y - 22*y + 9*y + 39*y**2 as i*y**2 + t*y + w and give i. 39 Express 35*o - 44*o + 37*o in the form p*o + f and give p. 28 Express -3*u**2 + 4*u + 7*u + 2*u**4 - 15*u as m*u**3 + g + a*u**4 + x*u**2 + f*u and give x. -3 Rearrange 6*j**4 + 4 + 5*j**4 - 8*j**4 - j**3 + 4*j**4 to the form h*j**3 + u*j**4 + q*j + f + s*j**2 and give u. 7 Rearrange -4*h**3 + 0*h + 0*h - 6*h**2 to j*h + q + u*h**3 + m*h**2 and give u. -4 Rearrange -3*g**2 + 2 - 2 + 7*g**2 to z + p*g**2 + b*g and give z. 0 Rearrange 59 - a - 60 + a - 2*a**3 to q + z*a**3 + j*a**2 + l*a and give q. -1 Rearrange 23*h + 67*h - 17*h + 17*h to p + r*h and give r. 90 Rearrange 1 + 2*g**3 - g**4 - g**4 + 2*g**4 + 3*g**4 to f + c*g**4 + y*g**2 + w*g**3 + l*g and give f. 1 Express -218*l**2 + 442*l**2 - 222*l**2 - l**3 - 24 as w + c*l**3 + f*l**2 + h*l and give c. -1 Rearrange 3*x**4 + 3*x - 2 + 4*x**2 - 2*x**2 - 4*x to the form w*x**2 + d*x + v + h*x**4 + i*x**3 and give h. 3 Rearrange 2 + 39*h**2 + 10*h**2 + 27*h**2 to the form o*h + q*h**2 + i and give i. 2 Express (c - 2 + 3*c - 2*c)*(6 - 1 + 5) as i*c + g and give i. 20 Express (-29 - 23 + 8)*(-o + 0*o + 2*o)*(-1 - 2*o + 1) as g + j*o**2 + m*o and give j. 88 Rearrange (w + 2*w - 5*w)*(-w + w + 2*w**2) + 3*w**3 + w**3 - w**3 + (-4*w**2 - 5*w**2 - 2*w**2)*(-2*w + 5*w - 4*w) to f*w**3 + p*w + s + a*w**2 and give f. 10 Express 29*z - 24*z**2 - 11*z**2 - 31*z - 14*z**2 as j + p*z**2 + i*z and give p. -49 Rearrange b + 3*b**4 - 7*b**4 + b**3 + 2*b**4 - 2*b**2 to the form g*b**2 + r*b + u*b**4 + m + k*b**3 and give r. 1 Rearrange -2*b**3 + b**3 - 3*b**3 - b + 5*b**3 - 2*b**4 to w*b**3 + h*b**4 + v*b + o*b**2 + i and give h. -2 Rearrange (-15 + 6 + 7)*(0*u + u - 3*u) to the form t + d*u and give d. 4 Express -2*f - 14*f**2 - 10*f**2 + 17*f**2 in the form v + a*f + h*f**2 and give h. -7 Express (3*y + 5*y - 5*y)*(3*y**2 - 6*y**2 + 5*y**2) + 322*y**2 - 322*y**2 - 45*y**3 in the form w*y + j*y**3 + k + c*y**2 and give j. -39 Rearrange (-3 + 20*t + 1 - 24*t)*(-4*t**2 + t**2 + t**2) + 0 - t**3 + 0 to the form i*t + m*t**3 + r*t**2 + f and give r. 4 Rearrange (-1 + 5 - 1)*(2*b + b + 7*b) to the form g + a*b and give a. 30 Express 5*w**2 + w + 2*w**3 - 22*w**2 - 42*w**2 in the form z*w + t + i*w**2 + a*w**3 and give a. 2 Rearrange 9*g**3 - 2 - 7*g - 17*g**3 + 9*g**3 to the form w*g**2 + y*g + r + b*g**3 and give y. -7 Express 0*p + 8*p**2 - 2*p**2 - 3*p as n*p**2 + m*p + t and give n. 6 Rearrange -118 - 119 + 234 - 2*b**2 + 2*b**3 to o*b + u*b**2 + a + v*b**3 and give v. 2 Express -5*m**2 - 1 - 2 + 0 + 4*m**3 - 5*m**3 as z*m + r*m**2 + a + h*m**3 and give r. -5 Rearrange -2*b - 93*b**4 - 4*b**2 + 3*b**2 + 92*b**4 + b**3 to the form o*b + h*b**2 + q*b**4 + m + r*b**3 and give r. 1 Express (2 + 1 - 2)*(1 - 1 + 2*s) - 5*s + 6*s + 5*s as z*s + b and give z. 8 Rearrange 205*l**2 - 1 - 207*l**2 - l + 3*l - 3*l**4 - l**3 to b*l + g + f*l**4 + m*l**3 + v*l**2 and give g. -1 Rearrange 8 + 14*p + 2*p**3 + 4 - 13 + p**2 to the form w*p**3 + s + v*p**2 + n*p and give v. 1 Rearrange ((1 - 5 + 3)*(2 + 1 - 5) - 3 + 3 + 8)*(-2 + 2 + 1)*(1 - 1 - s) to h*s + u and give h.
{ "pile_set_name": "DM Mathematics" }
hout replacement from fnfnnnffffnnf. Give prob of picking 3 n. 10/143 Three letters picked without replacement from gtrgrzrjztrjzttjzrz. What is prob of picking 1 z, 1 r, and 1 t? 100/969 Calculate prob of picking 2 t when two letters picked without replacement from mmmtutiqutt. 6/55 What is prob of picking 3 f when three letters picked without replacement from {f: 3, o: 1}? 1/4 Two letters picked without replacement from {s: 2, g: 9}. What is prob of picking 1 s and 1 g? 18/55 What is prob of picking 1 l and 2 y when three letters picked without replacement from {y: 4, a: 2, g: 1, m: 1, s: 2, l: 2}? 3/55 Two letters picked without replacement from iqqqkkqqqqqqqkq. What is prob of picking 2 k? 1/35 Calculate prob of picking 2 c when two letters picked without replacement from {d: 1, s: 4, c: 2, z: 9}. 1/120 Three letters picked without replacement from {w: 1, v: 3}. Give prob of picking 2 v and 1 w. 3/4 What is prob of picking 1 a, 1 j, 1 q, and 1 g when four letters picked without replacement from jajzgjjgaqjjgz? 36/1001 Three letters picked without replacement from bjmmjjjjmjbbbbjjmjb. Give prob of picking 3 j. 28/323 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from xiidvbb. 2/21 Three letters picked without replacement from annzjdqaq. What is prob of picking 1 j, 1 z, and 1 n? 1/42 Two letters picked without replacement from {s: 4, k: 7, l: 2}. What is prob of picking 1 k and 1 l? 7/39 Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {r: 2, k: 4}. 1/5 Calculate prob of picking 1 x, 1 i, 1 z, and 1 d when four letters picked without replacement from {z: 2, d: 1, x: 4, i: 5, l: 4}. 2/91 Three letters picked without replacement from npnpnnppncpncn. What is prob of picking 3 p? 5/182 Calculate prob of picking 3 v and 1 e when four letters picked without replacement from {y: 1, v: 7, q: 4, e: 1}. 7/143 What is prob of picking 1 r and 3 h when four letters picked without replacement from hhguhrt? 1/35 Three letters picked without replacement from {h: 4, s: 2, w: 2, j: 4}. What is prob of picking 1 j and 2 w? 1/55 Four letters picked without replacement from {y: 1, q: 2, l: 1, r: 2, j: 1, i: 2}. Give prob of picking 1 y, 1 q, 1 r, and 1 j. 2/63 What is prob of picking 4 u when four letters picked without replacement from ujjujjujjjjjuu? 5/1001 What is prob of picking 2 y when two letters picked without replacement from roryyjrryryrtoo? 2/35 What is prob of picking 2 m and 2 s when four letters picked without replacement from {s: 3, m: 4}? 18/35 Calculate prob of picking 1 f and 2 l when three letters picked without replacement from fflffffffflfffffffff. 3/190 What is prob of picking 3 u when three letters picked without replacement from uuuuuuluull? 56/165 What is prob of picking 3 r and 1 v when four letters picked without replacement from hrrrvrvvrhhzrrrrzhr? 30/323 Two letters picked without replacement from {e: 2, x: 7, w: 1}. What is prob of picking 1 x and 1 e? 14/45 Calculate prob of picking 3 z when three letters picked without replacement from zmmzzlmzzlzmmmmz. 1/16 Two letters picked without replacement from yygccxxycyyxlcylx. What is prob of picking 1 c and 1 l? 1/17 Three letters picked without replacement from ppjhljhehaah. Give prob of picking 1 j, 1 l, and 1 a. 1/55 Calculate prob of picking 1 o, 1 h, 1 k, and 1 w when four letters picked without replacement from kllhowlol. 1/63 What is prob of picking 2 k when two letters picked without replacement from nnnqqnqknnnqqkknqq? 1/51 What is prob of picking 3 l and 1 f when four letters picked without replacement from fllffl? 1/5 What is prob of picking 2 x and 2 o when four letters picked without replacement from {o: 3, x: 8}? 14/55 Calculate prob of picking 1 e, 2 i, and 1 h when four letters picked without replacement from yieeghehihpggeepeg. 1/170 Three letters picked without replacement from wscwowwwwohwswcwdw. Give prob of picking 1 w, 1 c, and 1 s. 5/102 What is prob of picking 1 h, 1 n, and 1 j when three letters picked without replacement from nnnhnhnnnhnjhwhhn? 27/340 Three letters picked without replacement from jttjjttttjjjttttjtt. Give prob of picking 3 j. 35/969 Calculate prob of picking 3 s when three letters picked without replacement from sssssss. 1 Four letters picked without replacement from {x: 2, z: 2, v: 1, k: 4, n: 3}. What is prob of picking 1 n, 1 v, and 2 z? 1/165 What is prob of picking 3 u when three letters picked without replacement from uuuuuuu? 1 Three letters picked without replacement from {r: 11, i: 2}. Give prob of picking 2 r and 1 i. 5/13 What is prob of picking 2 u and 2 n when four letters picked without replacement from {u: 7, e: 4, n: 2, o: 1}? 3/143 Calculate prob of picking 2 w and 1 e when three letters picked without replacement from {e: 3, w: 2}. 3/10 Two letters picked without replacement from rrrryrrarrr. Give prob of picking 1 a and 1 r. 9/55 Two letters picked without replacement from xnwnnnxnnnnnnnnnxnnn. Give prob of picking 1 n and 1 w. 8/95 Three letters picked without replacement from {f: 6, o: 7, v: 6}. What is prob of picking 1 o, 1 f, and 1 v? 84/323 Four letters picked without replacement from nnnnnnn. Give prob of picking 4 n. 1 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, t: 2, o: 4, d: 5, q: 1}. 10/91 What is prob of picking 1 w and 1 n when two letters picked without replacement from wunwnnnnnnnwnwwwnwnn? 42/95 What is prob of picking 1 y and 1 c when two letters picked without replacement from fqgqzyccg? 1/18 What is prob of picking 1 j and 2 i when three letters picked without replacement from {i: 6, j: 13}? 65/323 What is prob of picking 2 t and 1 q when three letters picked without replacement from tttttsqqtsqts? 63/286 What is prob of picking 1 t, 1 o, and 2 g when four letters picked without replacement from {f: 3, g: 6, t: 1, o: 3}? 9/143 Two letters picked without replacement from {j: 1, z: 4, n: 2, c: 3}. Give prob of picking 2 c. 1/15 Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {r: 1, h: 1, j: 2, d: 1}. 1/5 Three letters picked without replacement from bdncc. Give prob of picking 1 d and 2 c. 1/10 What is prob of picking 1 l, 1 t, and 2 r when four letters picked without replacement from {l: 4, r: 6, o: 1, t: 4}? 16/91 Two letters picked without replacement from eeseeeeeeeeeeeeeepe. What is prob of picking 1 e and 1 p? 17/171 Three letters picked without replacement from vjava. What is prob of picking 1 v, 1 j, and 1 a? 2/5 What is prob of picking 1 f, 1 b, and 2 e when four letters picked without replacement from esbfes? 1/15 Three letters picked without replacement from fevjfjeffff. Give prob of picking 1 f, 1 j, and 1 e. 8/55 What is prob of picking 2 h and 2 c when four letters picked without replacement from hhhhchhhc? 1/6 Two letters picked without replacement from {e: 4, v: 1, l: 6, n: 2}. Give prob of picking 2 l. 5/26 Three letters picked without replacement from pdppppppdpppppppppp. What is prob of picking 2 d and 1 p? 1/57 What is prob of picking 1 d and 1 q when two letters picked without replacement from qgdig? 1/10 Three letters picked without replacement from fffffff. What is prob of picking 3 f? 1 Calculate prob of picking 1 m and 3 x when four letters picked without replacement from {x: 7, m: 1}. 1/2 Three letters picked without replacement from hfffggmfafmafffah. Give prob of picking 3 a. 1/680 What is prob of picking 1 k and 1 o when two letters picked without replacement from ywoypykwyo? 2/45 Three letters picked without replacement from {q: 1, t: 2, d: 2, f: 1, p: 1, w: 1}. What is prob of picking 1 w and 2 d? 1/56 What is prob of picking 1 f, 1 w, and 1 s when three letters picked without replacement from swyfwyyswwwwwfww? 9/140 Four letters picked without replacement from {p: 9, s: 2, v: 3, b: 2, m: 1}. What is prob of picking 1 b, 1 m, 1 p, and 1 s? 9/595 What is prob of picking 2 m and 2 i when four letters picked without replacement from immimmummm? 1/10 Calculate prob of picking 2 z and 1 s when three letters picked without replacement from {s: 3, o: 2, z: 5, v: 5}. 6/91 Four letters picked without replacement from p
{ "pile_set_name": "DM Mathematics" }
implify ((sqrt(3) + sqrt(18)/(sqrt(6)*-2) + -2*sqrt(147))*2)**2. 2187 Simplify (-1*sqrt(700))/(2*sqrt(20)/sqrt(5)). -5*sqrt(7)/2 Simplify -1 + sqrt(475) + sqrt(475)*-1. -1 Simplify 6*-5*(-2*sqrt(22))/sqrt(11). 60*sqrt(2) Simplify -6*((6*-1*sqrt(72))**2 + sqrt(72)). -15552 - 36*sqrt(2) Simplify (3*(sqrt(104) + (sqrt(104)*-2 - sqrt(104))))/(sqrt(8)*-2*5). 3*sqrt(13)/5 Simplify (sqrt(1377) + sqrt(1377) + sqrt(1377)*2)**2*5 + 1 + -5 + -2*sqrt(17). -2*sqrt(17) + 110156 Simplify (-1*sqrt(57))/sqrt(3) - (-3 + sqrt(76))**2. -85 + 11*sqrt(19) Simplify -2 + 4 + ((sqrt(14) - sqrt(896))/sqrt(2))**2. 345 Simplify (-2 + sqrt(7) + -4*sqrt(343))**2 + -5. 108*sqrt(7) + 5102 Simplify -1*(sqrt(1539) + (sqrt(1539)*2)**2) + -5. -6161 - 9*sqrt(19) Simplify (sqrt(252)/(sqrt(8)/sqrt(2)))/(sqrt(441) - -2*sqrt(441)). sqrt(7)/21 Simplify sqrt(228)/(sqrt(24)/(sqrt(2) + sqrt(6)/sqrt(3))). 2*sqrt(19) Simplify (-1*sqrt(1260))/(sqrt(21)/sqrt(3)*-5). 6*sqrt(5)/5 Simplify (sqrt(13) + -3 + sqrt(208) - sqrt(13))**2 + 3. -24*sqrt(13) + 220 Simplify (sqrt(33) + sqrt(99)/sqrt(3))/sqrt(11) + 3*sqrt(12)/sqrt(4). 5*sqrt(3) Simplify ((sqrt(13) + (sqrt(13) - sqrt(52)/sqrt(4)) + -4)*-5*-1)**2. -200*sqrt(13) + 725 Simplify -3 + 1*sqrt(20). -3 + 2*sqrt(5) Simplify (sqrt(2736) + 0 + sqrt(2736) - (sqrt(19) + -2 + 1 - sqrt(19)))**2. 48*sqrt(19) + 10945 Simplify sqrt(2448) + 1 + -4. -3 + 12*sqrt(17) Simplify 2 + ((((sqrt(385) - -3*sqrt(385)) + sqrt(385))/sqrt(7))/sqrt(11))**2. 127 Simplify sqrt(156)/(6*sqrt(48)/sqrt(4) - sqrt(12)). sqrt(13)/5 Simplify 3*(0 + sqrt(832)) - (sqrt(832) - sqrt(832)*1)**2*-4. 24*sqrt(13) Simplify (sqrt(605) + (-1 + sqrt(605))**2)*-5. -3030 + 55*sqrt(5) Simplify -3 + 3 + (-2 + sqrt(112))**2. -16*sqrt(7) + 116 Simplify (6*(sqrt(1900) + -1)*2)**2. -2880*sqrt(19) + 273744 Simplify (sqrt(342)*4)/((sqrt(8)/sqrt(2))/sqrt(2)). 12*sqrt(19) Simplify (sqrt(308)/(sqrt(7)*-3))/(sqrt(20)/sqrt(5)*-4 + sqrt(4)). sqrt(11)/9 Simplify 2*(sqrt(7) + (-2 + sqrt(7))*-4 - sqrt(7)). -8*sqrt(7) + 16 Simplify 0 + sqrt(275) + sqrt(11) + (6*(1 + sqrt(11)))**2. 78*sqrt(11) + 432 Simplify (4 + sqrt(18) + (3 + sqrt(2))*-2)**2 + 1. -4*sqrt(2) + 7 Simplify ((sqrt(51) - sqrt(204)/sqrt(4))/sqrt(3) + sqrt(34)/sqrt(2)*4 + -1 + (sqrt(17) - sqrt(170)/(sqrt(20)/sqrt(2))))**2. -8*sqrt(17) + 273 Simplify (sqrt(27)*1 - (sqrt(3) + (sqrt(108) - -1*sqrt(108))))**2. 300 Simplify ((sqrt(119) - 2*sqrt(119))*-4)/(sqrt(504)/sqrt(8)). 4*sqrt(17)/3 Simplify sqrt(25)/(sqrt(720) + sqrt(720)*-2). -sqrt(5)/12 Simplify -4*-4*(2 + sqrt(147))**2. 448*sqrt(3) + 2416 Simplify -5 + ((sqrt(363) + -2)**2 - sqrt(3)). -45*sqrt(3) + 362 Simplify (sqrt(9)*1)/sqrt(3) + (5*sqrt(24)/sqrt(8))**2 + 1. sqrt(3) + 76 Simplify (sqrt(26)/(3*sqrt(2)) - (sqrt(1300) + (sqrt(1300) - (1 + sqrt(1300))) - sqrt(13)))**2. -52*sqrt(13)/3 + 8797/9 Simplify 1*(sqrt(9)/sqrt(75) + sqrt(3)). 6*sqrt(3)/5 Simplify (sqrt(900)*-1)/sqrt(243). -10*sqrt(3)/9 Simplify ((2*sqrt(308))/sqrt(7))/(sqrt(28)/sqrt(28)). 4*sqrt(11) Simplify ((-3*sqrt(396) - sqrt(396)) + -3 - (3 + sqrt(396))*-5)**2. 144*sqrt(11) + 540 Simplify (-6*1*sqrt(152))/((sqrt(968) - -1*sqrt(968)) + sqrt(968) + sqrt(968) - sqrt(968) - sqrt(8)). -3*sqrt(19)/16 Simplify (sqrt(65)/(sqrt(40)/sqrt(8)))**2 + sqrt(13) + 4 + 1*sqrt(13). 2*sqrt(13) + 17 Simplify (sqrt(19) - (-1*sqrt(19) + 5) - sqrt(19))**2 + sqrt(912)/sqrt(3). -6*sqrt(19) + 44 Simplify (-4 + (sqrt(1300) - 2*sqrt(1300))**2 + -1)*3. 3885 Simplify sqrt(224)/(sqrt(49)/sqrt(7)) - sqrt(32) - sqrt(32). -4*sqrt(2) Simplify sqrt(152)/(1*2*sqrt(8)) + (sqrt(19) + (-1 + sqrt(2299) - sqrt(2299))**2 - (sqrt(76) + (sqrt(76) + -2*sqrt(76) - sqrt(76)))/sqrt(4)). 1 + 5*sqrt(19)/2 Simplify (2 + (sqrt(468) - sqrt(468)*1))**2 + sqrt(468) + 1 + -1 + 2. 6 + 6*sqrt(13) Simplify (sqrt(70)*1*-4)/(5*1*sqrt(10)). -4*sqrt(7)/5 Simplify (sqrt(420)/(sqrt(24)/sqrt(2)))/sqrt(5). sqrt(7) Simplify 2 + sqrt(7)*1 - (-3*sqrt(700) - sqrt(700)). 2 + 41*sqrt(7) Simplify ((sqrt(95) + 4*sqrt(95)*1 - sqrt(95)) + sqrt(95))/((sqrt(50)/sqrt(5))/sqrt(2)). 5*sqrt(19) Simplify 6*(2 + sqrt(343)). 12 + 42*sqrt(7) Simplify 5*((-2*(sqrt(3) - sqrt(12)) + sqrt(3))**2 - sqrt(3) - sqrt(3)). -10*sqrt(3) + 135 Simplify ((sqrt(32) - sqrt(8))*6 - sqrt(8))/sqrt(4). 5*sqrt(2) Simplify (4*(1 + sqrt(5)))**2 + ((sqrt(5) + sqrt(135)/sqrt(3) + sqrt(45) - sqrt(5) - sqrt(5)) + sqrt(5) - sqrt(5)). 37*sqrt(5) + 96 Simplify (-1 + (sqrt(252)*1 + sqrt(252) - sqrt(252)))**2. -12*sqrt(7) + 253 Simplify ((sqrt(52)*-1)**2 - sqrt(13)) + -5. -sqrt(13) + 47 Simplify (5*(sqrt(76) + sqrt(19)) + (2*sqrt(228) + sqrt(228))/sqrt(12))**2 + 1*sqrt(19)*-4 + -4*2*sqrt(19). -12*sqrt(19) + 6156 Simplify (sqrt(78) - 6*1*sqrt(78))/((sqrt(72)/sqrt(2) + sqrt(36))/sqrt(6))*4. -10*sqrt(13) Simplify (0 + (sqrt(832) - 2*sqrt(832))**2)*5. 4160 Simplify -4*-3*sqrt(832). 96*sqrt(13) Simplify (sqrt(132)/(-2*sqrt(6)))/(sqrt(132)/(2*sqrt(12))). -sqrt(2) Simplify (1 + sqrt(2) + sqrt(32) + sqrt(2) + 3)**2. 48*sqrt(2) + 88 Simplify 0 + (sqrt(1575) - (-2 + sqrt(7) + -1)). 3 + 14*sqrt(7) Simplify (-1 + sqrt(704) - sqrt(704))**2*6. 6 Simplify (2*sqrt(128))**2 - (sqrt(2) - -1*sqrt(72))**2. 414 Simplify -1 + (-1 + sqrt(2) + -2)**2. -6*sqrt(2) + 10 Simplify (sqrt(2) - (sqrt(2) + (sqrt(18) - sqrt(72))/sqrt(9))) + (sqrt(1250) - sqrt(50)). 21*sqrt(2) Simplify ((sqrt(400) - sqrt(25))*6)/(sqrt(45)/sqrt(144) - sqrt(5)). -24*sqrt(5) Simplify -2*(-3 + -5*(0 + sqrt(17)))**2. -868 - 60*sqrt(17) Simplify (-5 + sqrt(12)/sqrt(6) - sqrt(2))**2*1. 25 Simplify ((sqrt(30)/sqrt(5))/sqrt(2))**2 - (2*sqrt(3) + -2). -2*sqrt(3) + 5 Simplify sqrt(176) + -1*(1 + sqrt(176)). -1 Simplify 3*-4*(sqrt(112) + 0)*-5. 240*sqrt(7) Simplify 6*(sqrt(15)/sqrt(3))**2 + -1. 29 Simplify (sqrt(300)/(sqrt(20)/sqrt(2)))/(-2*sqrt(12)/sqrt(2)). -sqrt(5)/2 Simplify 4 + sqrt(1331) + 2 + sqrt(1331) + sqrt(1331) + 1*sqrt(1331)*-5. -22*sqrt(11) + 6 Simplify 3 + sqrt(80)*-6. -24*sqrt(5) + 3 Simplify 2 + sqrt(2448) + 1. 3 + 12*sqrt(17) Simplify (sqrt(55) + -2*sqrt(2695))/(sqrt(11)*1*4). -13*sqrt(5)/4 Simplify (sqrt(88)/sqrt(128))**2. 11/16 Simplify 4 + 1 + sqrt(500)*2. 5 + 20*sqrt(5) Simplify (3*-1*sqrt(18))/(sqrt(24)*-6). sqrt(3)/4 Simplify (3*sqrt(17)*-1 + sqrt(17) - (sqrt(17) + -2 + sqrt(153) + sqrt(17) + sqrt(17)))**2 + -5. -32*sqrt(17) + 1087 Simplify (sqrt(35)/sqrt(28))**2 + 1 + sqrt(125). 9/4 + 5*sqrt(5) Simplify 0 + -1*sqrt(147) - sqrt(147) - (-4 + (1*sqrt(147) - sqrt(147)) - sqrt(147))**2. -163 - 70*sqrt(3) Simplify (sqrt(24)/(sqrt(24)/sqrt(2)) + sqrt(2))*-4. -8*sqrt(2) Simplify -6*(sqrt(243) + sqrt(243) + (0 + sqrt(243))**2) - 4*((sqrt(243) - (sqrt(243) + (sqrt(243)*-2 - sqrt(243))))**2 + sqrt(243)). -10206 - 144*sqrt(3) Simplify 4 + ((-3 + sqrt(2299))*3 - sqrt(2299)). -5 + 22*sqrt(19) Simplify sqrt(39)/(sqrt(108)*-2). -sqrt(13)/12 Simplify -6*sqrt(57)/sqrt(3) + sqrt(209)/sqrt(44). -11*sqrt(19)/2 Simplify ((sqrt(12)/sqrt(2)*-4)/(sqrt(6)/(1*sqrt(2))))**2. 32 Simplify 3 + (sqrt(16)/sqrt(2))/sqrt(4). sqrt(2) + 3 Simplify (sqrt(84) + -6*(-2*sqrt(84) - sqrt(84)))/(sqrt(192)*-2). -19*sqrt(7)/8 Simplify (2*sqrt(1458) + sqrt(18))/(sqrt(108)/(sqrt(12)*-1 + sqrt(12) - sqrt(12))). -19*sqrt(2) Simplify 2*((sqrt(108)*-1 - sqrt(108))*3)**2. 7776 Simplify -1 + (sqrt(1331) - (sqrt(1331) + 0)**2) - (sqrt(1331) - ((sqrt(1331) + 1)**2 + 2 + sqrt(1331))). 2 + 33*sqrt(11) Simplify -5 + (sqrt(21)/sqrt(7)*-6)**2 + 4. 107 Simplify ((sqrt(2) + sqrt(2)*-1)*-3*-5)**2. 0 Simplify sqrt(44)/sqrt(4)*-6 + sqrt(66)/sqrt(54). -17*sqrt(11)/3 Simplify (-4*sqrt(7)*-2 - (sqrt(112) - sqrt(28))/sqrt(4))**2. 343 Simplify sqrt(13) + 2 + (sqrt(13) + 1)**2 - (sqrt(13) - (sqrt(91) - sqrt(91)*1)/sqrt(7)). 2*sqrt(13) + 16 Simplify (sqrt(68) + 5*(2*sqrt(68) + sqrt(68)))/((sqrt(144)/sqrt(3))/sqrt(12)). 16*sqrt(17) Simplify (2*sqrt(76) - sqrt(19)) + sqrt(19) + 0 - (sqrt(304) - (-6*(sqrt(304)*-2 + sqrt(304)) + sqrt(304) + sqrt(304)))**2. -14896 + 4*sqrt(19) Simplify (1*(3 + sqrt(605) - sqrt(605)))**2. 9 Simplify -6*6*(sqrt(2) - (sqrt(288)*-3)**2). -36*sqrt(2) + 93312 Simplify ((sqrt(1323)*6)/sqrt(9))**2*1. 5292 Simplify (1*(sqrt(2)*-2)**2 + (sqrt(98)*-2)**2)*-1. -400 Simplify sqrt(35)/(((1*sqrt(500) - sqrt(500)) + sqrt(500) - sqrt(5)) + sqrt(5)). sqrt(7)/10 Simplify sqrt(144)/sqrt(3) - ((-2 + sqrt(300))**2 + sqrt(3)). -304 + 43*sqrt(3) Simplify -
{ "pile_set_name": "DM Mathematics" }
2 + (-5*r + 4*r + 2*r)*(6*r**2 - 3*r**2 - r**2). -23*r**3 - 13 Expand (j - 2*j - 2*j)*(-5 - j**2 + 932*j - 932*j - 7*j**3). 21*j**4 + 3*j**3 + 15*j Expand ((4*d - 3*d - 3*d)*(1 + 2*d - 1) + (-2 + 5 + 0)*(-3*d**2 + 5*d**2 - 4*d**2))*(-7 + 7 + d**2). -10*d**4 Expand (-232 + 188 - 150)*(0*h**3 + 3*h**3 - 4*h**3). 194*h**3 Expand (-13*w + 6*w - 5*w)*(-2*w + 3 - 3)*(2*w + 0 - 4*w + 6). -48*w**3 + 144*w**2 Expand (3 - 3*k**2 - 3)*(-4 + 61*k + 62*k - 3*k**2 - 121*k). 9*k**4 - 6*k**3 + 12*k**2 Expand -40*d**4 - 87*d**5 + 40*d**4 + (0 + 2 + 0)*(-3*d**5 + 5*d**5 - 5*d**5 - d**2 + d**5 + d**2 + (0 + 0 + 2*d**2)*(2 - d**3 - 2) - 5*d**5 + 3*d**5 + 0*d**5). -99*d**5 Expand (7 - 3 + 4)*(-21*t**4 - 113*t + 113*t)*(-1 + 5 - 1). -504*t**4 Expand (-11*r**4 + 3*r**4 - 2*r**4)*(3 + 0 - 1 - 4 + 0 + 3 + (-2 + 2 - 2)*(0 + 0 - 2) - 2 + 2 + 1 + 5 - 4 - 3 + 28 - 21 - 27 + 2 + 0 - 1). 150*r**4 Expand (-3*o + o + 0*o)*(-364 + 1933 + 909). -4956*o Expand (-3*w + 5*w + 11*w + 71*w + 12*w)*(-17*w + 138 - 138). -1632*w**2 Expand (3*a**2 - a**2 + 0*a**2)*(-189*a**2 - 45*a**2 - 44*a**2). -556*a**4 Expand 0*h**4 - h**4 + 5*h**4 + (h**3 - h + h)*(-24*h + 5*h - h). -16*h**4 Expand -26 + 26 + 20*m**3 + ((3*m - m + 0*m)*(-4 - 2 + 4) + 0*m + 3*m - m)*(2*m**2 + 4 - 4). 16*m**3 Expand (1 + 3 + 16)*(3 - 2 + 1)*(2*f - 2*f + 17*f). 680*f Expand (0 + 3 - 2)*(y + 3*y - 10*y)*(293*y - 9 + 297*y - 589*y) - 2*y + 2*y + y**2. -5*y**2 + 54*y Expand (-m**2 + m**4 + m**2)*(3 - 3 + 53*m) + (-4 + 1 + 0)*(0*m**5 - m**5 + 0*m**5). 56*m**5 Expand (-1 - 3 + 5)*(-184*r + 88*r - 1 + 78*r). -18*r - 1 Expand (-4*u + 2*u - 124 + 125)*((u - 2*u - u)*(-2 - 2 + 6) + u - 17 + 17). 6*u**2 - 3*u Expand (-88 - 58 + 7)*(2*c - c - 4*c). 417*c Expand 4*g**3 - 3*g**3 - 2*g**3 + (g - 5*g + 5*g)*(0*g + 2*g**2 + 0*g) + (-95*g + 95*g - 19*g**2)*(0*g - 4*g + 5*g + (5*g - 2*g - 2*g)*(-4 + 3 + 3)). -56*g**3 Expand (0 + 0 - 2)*(2590 - 2590 + 446*a - 182*a). -528*a Expand (k - 4*k + k)*(-4*k + 4*k + 2*k**3) - 157*k**3 + 157*k**3 - 93*k**4. -97*k**4 Expand (-21 + 13 + 16)*(-19*l**4 + 0*l**4 + 5*l**4). -112*l**4 Expand (-335514 + 1334*t**3 + 335514)*(-4 + 5 + 1). 2668*t**3 Expand 0*i**2 - 2*i**2 - 18*i**2 + (0*i + i + 0*i + 6*i + 0*i + 2*i + (-2*i + 5*i - 4*i)*(-5 + 0 + 4) - 5 - 2*i + 5)*(-3*i + 3*i + 2*i). -4*i**2 Expand (0*k**2 + 0*k**2 + 3*k**2)*(37*k**2 + 197*k**2 - 35*k**2). 597*k**4 Expand 2*g**3 - 74*g**3 - 64*g**3 + 2*g**3 - 2*g + 2*g + (2*g**2 + g**2 - 4*g**2)*(-6*g + g + 4*g) + (2 - 2 - g)*(g - g + 4*g**2). -137*g**3 Expand 0*a**5 - 834*a**4 + 833*a**4 + 2*a**5 - 9 + (2 - 2*a**5 - 2)*(-4 + 5 - 3). 6*a**5 - a**4 - 9 Expand (5*a**2 - 2*a**2 + 3*a**2)*(-3*a**3 + 4*a**3 + 0*a**3) + (18*a**3 - 18*a**3 - 2*a**5 - a**4)*(-6 + 2 + 3). 8*a**5 + a**4 Expand ((p + 2*p - 2*p)*(-3 - p**2 + 3) - 408*p**2 + 10*p**3 + 408*p**2)*(4*p + 5*p - 8*p). 9*p**4 Expand -c**4 - 4 - 4 + 6 + (-3*c**2 + 0*c**2 + 2*c**2)*(1 + 2*c**2 - 1) - 7*c**4 + 34 - 34. -10*c**4 - 2 Expand -3*d**4 + 4*d**4 + d**4 - 2 + (-7*d - 2*d + d)*(-2*d**3 + d - d). 18*d**4 - 2 Expand (-4*u**2 + 2*u**5 + 4*u**2 + (-4*u**3 + 22*u**3 + 45*u**3)*(2*u - 3*u**2 - 2*u))*(-2 + 0 + 1). 187*u**5 Expand (1 - 1 + 2)*(2 + 0 - 3 + (-2 + 0 + 0)*(4 + 0 - 2) + 3 - 3 - 1 - 252 - 239 + 573)*(m**2 + 1 - 1). 152*m**2 Expand (5 - 6 - 5)*(6 - 5*l**5 - 4 + 4*l**5). 6*l**5 - 12 Expand -56115 + 56115 - 5*p**3 + p + (5*p - 5*p + p)*(0*p + 0*p - p**2) + p**3 + p**3 + 0*p**3. -4*p**3 + p Expand (5*t**3 - 4*t**3 + 0*t**3)*(-t + 0 + 0) - t**4 - t**4 + 0*t**4 + (2*t + 21*t + 3*t)*(4*t**3 + 0*t**3 - 3*t**3). 23*t**4 Expand (3 + 3 - 2)*(15 - 8 + 14)*(2 + 0*j - 6*j + 4*j). -168*j + 168 Expand -7*f**3 + 7*f**3 + 2*f**5 + (4 + 1 - 4)*(2*f**3 + 2*f**5 - 2*f**3) + 0*f**5 + 3*f**5 - 4*f**5. 3*f**5 Expand (-16*m**3 + 2*m**2 + 34*m**3 - 3 - 22*m**3)*(25*m + 175 - 175 + 6*m - m - 3*m + (-2*m + 3*m + 0*m)*(1 + 0 + 0) + m + m - m + m + m - m). -120*m**4 + 60*m**3 - 90*m Expand (-3*h + 3*h - 2*h)*(-2 + 2 - 2*h**3) - 211*h**4 + 178*h**2 - 178*h**2. -207*h**4 Expand -907 - 39*x**5 + 907 - 2*x - 2*x**2 + 2*x**2 - x**5 + (2*x**4 - 4*x**4 + 0*x**4)*(0*x - 3*x + x) + 2*x**5 + 8*x - 8*x. -34*x**5 - 2*x Expand 0*y**2 + 0*y**2 + y**4 + (-397 + 32*y**2 + 397)*(1 - 1 - 2*y**2 + (-y + y - y)*(5*y + y - 5*y)). -95*y**4 Expand (-3 + 1 + 0)*(-2*f**3 + 3*f - 3*f) - 2*f**2 - f**3 + 2*f**2 + 0*f**3 + f**3 + f**3 + (f + 0*f + f)*(0*f**2 - 3*f**2 - 2*f**2) + 2*f**3 - 2 + 2. -3*f**3 Expand (-w + 2*w - 2*w)*(-3 - 21 + 24 + 1603*w). -1603*w**2 Expand 3*r**2 - 6*r**2 + 2*r**2 + (r - 2*r + 2*r)*(-r + 1 - 1) + (10*r + 17*r + 2*r)*(2*r - 2*r - 4*r). -118*r**2 Expand (14*l**4 + 5 - 5)*(-2 + 10 + 2). 140*l**4 Expand (-2*u + u - u)*(-4 + 4 + 2*u)*((-25 - 4 + 7)*(-3 + 11 - 1) + (-7 + 3 + 3)*(1 - 3 + 0)). 608*u**2 Expand (-1 + 1 + u)*(-2 - 2 + 5)*(-4*u**2 + 8*u**2 - 153*u**2). -149*u**3 Expand (-2*j - 5*j + 3*j)*(-16*j + 9*j - 3*j - 4*j + 3*j - j + j - j - j + (-5 + 2 + 4)*(2*j - 4*j + 0*j) - 4*j + j + j). 68*j**2 Expand (1 - 2*b**2 - 1)*(2*b - 6*b + 2*b) + 4*b**2 - 4*b**2 + 2*b**3 + (3*b**2 + 0*b + 0*b)*(-1 - 1 + 0)*(-70*b + 42*b - 11*b). 240*b**3 Expand (-75 - 73*g + 75)*(-g**2 + 2*g**3 + g**2)*(-g + 3 - 3). 146*g**5 Expand 2*u + u - 4*u - u - 2*u + 4*u + (5*u + 2*u - 5*u)*(3 - 2 - 2) + (4 - 4 + 1)*(22*u + 12*u - 6*u). 26*u Expand (3*i**2 + 0*i + 0*i)*(2 - 2 + i)*((i - 3 + 3)*(3 + 2 - 9) + 3 + i - 3). -9*i**4 Expand (3*f**2 + 0*f**2 - 5*f**2)*(-15*f**2 + 14 - 13 - f**2 - f). 32*f**4 + 2*f**3 - 2*f**2 Expand 3*l - 5*l + l + (6 - 1 - 3)*(4*l + l - 2*l) + (-11*l - 94 + 94)*(4 - 2 - 4). 27*l Expand 8*b**2 - 8*b + 8*b + (4*b + 0*b - 2*b)*(2 - 2 - 2*b) + 0*b**2 - 16*b**2 - 3*b**2. -15*b**2 Expand (-3*l + 4*l + l)*(1 - l - 1) - 16*l - 20*l**2 + 38*l**2 - 15*l**2 + (-l - 5*l + 4*l)*(-2*l - l + 6*l). -5*l**2 - 16*l Expand (-p + 0*p + 0*p)*(100*p - 168*p - 139*p) + 0*p**2 - 4*p**2 + 5*p**2 + (-p + 1 - 1)*(p + p - 3*p) + p**2 - 2*p**2 + 3*p**2. 211*p**2 Expand 89*f - 43*f - 23*f**5 - 49*f + (1 - 1 - 3*f)*(-5*f**4 + 2*f**4 + f**4). -17*f**5 - 3*f Expand -3*h + 0*h + 2*h - 2*h - 3*h + 3*h + (-5 + 1 + 2)*(4 + h - 4) - 32*h + 48*h - 4 - 3*h. 8*h - 4 Expand 0*o**2 + 2*o**2 - 4*o**2 + (1 - 2*o - 1)*(112 - 112 + 34*o) + (5 - 3 - 1)*(2*o + 3*o - 4*o)*(o - o + 2*o). -68*o**2 Expand (-m**3 + 0*m**2 + 0*m**2)*(-2*m - 3*m - 4*m) + (0*m**3 + 0*m**3 - m**3)*(0*m + m - 3*m) + 0*m**3 + 0*m**3 + m**4 + 5*m**4 - 5*m**2 + 5*m**2. 17*m**4 Expand (p**2 - p**2 + 2*p**3)*(14 - 4 - 30) - 20*p**2 + 20*p**2 + 9*p**3. -31*p**3 Expand (-6 - x**2 + 6)*(2*x**3 - 7*x**3 - 3*x**3) + (2*x**4 - 5*x**2 + 5*x**2)*(-6 + 2*x + 4 - x). 10*x**5 - 4*x**4 Expand (-3*z + 3*z + 2*z)*(1 + z - 1) + 9*z**2 + z**2 + 5*z**2 - 7*z**2 - 8*z**2 + 18*z**2. 20*z**2 Expand (9 + 12 + 23 + 4 - 2 - 3 + (2 - 4 + 0)*(1 - 6 + 2))*(2 - 2 - h). -49*h Expand (10*a - a**2 - 7*a - 4*a)*(-a**3 - 2*a**3 + 2*a**3) + (a**5 + a - a)*(2 + 2 - 2). 3*a**5 + a**4 Expand (-i + i - 3*i)*(29*i - 11*i - 2*i + 52*i). -204*i**2 Expand -3 + 3 + 2*y + (3 + 1 - 6)*(5 - 5 + 2*y) + 76*y + 58*y - 62*y. 70*y Expand (4 - 2 - 4)*(-2 - 1 + 2 + 4 - 3 + 1 + (0 + 1 + 0)*(-1 + 1 - 1) - 5 + 0 + 1 + 0 + 2 - 3)*(0*u + 4*u - 2*u). 20*u Expand (-2*k + 2*k + k + 0 + 0 - 2*k + (2*k + 2*k - 6*k)*(-1 - 3 + 2) + 2*k - 1 + 1)*(-4537 + 648 + 2469). -7100*k Expand 39*q**3 - 162*q**2 + 162*q**2 + 3*q**3 + 3 - q**3 - q**3 + (q**2 - 2 + 2)*(-3*q + 3*q - 2*q). 38*q**3 + 3 Expand (-1 + 0 - 1)*(-4*w + 2*w + 0*w) + 743*w + 489*w - 1422*w. -186*w Expand 42*x**4 + 44*x**4 + 58*x**4 + 3*x**4 + (0*x + 4*x - 6*x)*(-x + x - x**3) + x**4 + x**4 + 0*x**4. 151*x**4 Expand (3 - 1 - 3)*(1 - 2*n - 1) - 5*n + 8*n + 8*n. 13*n Expand (-355*k**2 - 240*k**2 - 118*k**2)*(2 - 3 - 2*k**2 - 1). 1426*k**4 + 1426*k**2 Expand (0 - o + 0)*(-1934*o**3 + 20*o**4 + 1934*o**3). -20*o**5 Expand (0*g**5 - 2*g**5 + g**5)*(4 + 2 - 4) + 14*g**3 + 14*g**5 - 14*g**3. 12*g**5 Expand (-3*w + w + w)*((4 - 1 - 2)*(-3 + 6 - 5) + 7 + 17 + 0 + (-1 - 3 + 2)*(3 + 2 - 3)). -18*w Expand (a - a + 2*a)*(2*a + a - 2*a) - 2*a**2 + 3*a**2 + 0*a**2 + 5*a**2 - 4*a**2 - 2*a**2 + (-36*a - 216 + 216)*(10*a + 6*a - 6*a). -358*a**2 Expand (-3*p - 3*p + 4*p + 4*p**2)*(1 + 0 + 1)*(9*p - 19 + 17 - 1). 72*p**3 - 60*p**2 + 12*p Expand (-2 + 6 - 2)*(-34*n + 24*n - 89*n). -198*n Expand ((2 + 3 - 3)*(0 + 1 - 4) + 2 + 1 + 0)*(0*l -
{ "pile_set_name": "DM Mathematics" }
) Determine l so that l**3/3 + 60*l**2 + 2759*l + 15842/3 = 0. -89, -2 Find p such that -p**5/4 - 40*p**4 - 159*p**3/4 = 0. -159, -1, 0 Factor -3*l**5/4 - 60*l**4 - 1074*l**3 + 5040*l**2 - 5292*l. -3*l*(l - 2)**2*(l + 42)**2/4 Factor -5*i**5 - 10*i**4 + 15*i**3. -5*i**3*(i - 1)*(i + 3) Determine l, given that l**5/4 - 3*l**4 + 35*l**3/4 + 3*l**2 - 9*l = 0. -1, 0, 1, 6 Let t**2/4 - 14*t + 27 = 0. What is t? 2, 54 Let -5*i**5/3 - 8*i**4/3 + 4*i**3/3 + 10*i**2/3 + i/3 - 2/3 = 0. Calculate i. -1, 2/5, 1 Let -2*h**2/11 - 376*h/11 - 1472/11 = 0. Calculate h. -184, -4 Factor 3*f**4 - 1203*f**3 - 14724*f**2 - 59280*f - 79296. 3*(f - 413)*(f + 4)**3 Factor -18*y**3/13 - 42*y**2/13 - 32*y/13 - 8/13. -2*(y + 1)*(3*y + 2)**2/13 Factor -2*j**3 + 72*j**2 - 670*j + 600. -2*(j - 20)*(j - 15)*(j - 1) Let -s**2 - s + 2 = 0. Calculate s. -2, 1 Determine b, given that 14*b**5/13 - 50*b**4/13 + 24*b**3/13 = 0. 0, 4/7, 3 Factor 2*w**4 + 30*w**3 - 928*w**2 + 4992*w - 4096. 2*(w - 8)**2*(w - 1)*(w + 32) Solve -4*z**2 + 36*z = 0 for z. 0, 9 Factor 3*r**3/5 + 3*r**2 + 12*r/5. 3*r*(r + 1)*(r + 4)/5 Let -3*i**5/5 - 17*i**4/5 + 8*i**3/5 + 12*i**2/5 = 0. Calculate i. -6, -2/3, 0, 1 Suppose 2*m**3 - 18*m**2 + 48*m - 32 = 0. What is m? 1, 4 Factor 5*c**3 + 30*c**2 - 5*c - 150. 5*(c - 2)*(c + 3)*(c + 5) Factor 2*b**2/15 - 1208*b/5 + 547224/5. 2*(b - 906)**2/15 Find a such that -3*a**4/5 + 63*a**3/5 - 90*a**2 + 1248*a/5 - 1152/5 = 0. 2, 3, 8 Factor c**2 - 120*c - 121. (c - 121)*(c + 1) Factor -6*r**3/11 - 78*r**2/11 - 60*r/11 + 144/11. -6*(r - 1)*(r + 2)*(r + 12)/11 Find c such that 45*c**4 - 240*c**3 - 895*c**2 - 510*c - 80 = 0. -2, -1/3, 8 Factor -a**2/3 + 35*a/3 - 34/3. -(a - 34)*(a - 1)/3 Factor 2*i**3/7 - 64*i**2/7. 2*i**2*(i - 32)/7 Find x, given that 3*x**2/4 + 21*x + 135 = 0. -18, -10 Factor -6*l**3 - 423*l**2 - 2127*l + 1170. -3*(l + 6)*(l + 65)*(2*l - 1) Factor -2*z**2/11 + 1544*z/11 - 297992/11. -2*(z - 386)**2/11 Factor -20*a**3 + 13175*a**2 + 16495*a + 3300. -5*(a - 660)*(a + 1)*(4*a + 1) Factor t**4/3 + 13*t**3/3 + 20*t**2 + 116*t/3 + 80/3. (t + 2)**2*(t + 4)*(t + 5)/3 Solve 2*s**4 + 4*s**3 - 8*s**2 - 16*s = 0. -2, 0, 2 Suppose 12*z**4/7 + 108*z**3/7 + 303*z**2/7 + 342*z/7 + 135/7 = 0. Calculate z. -5, -3/2, -1 Determine k so that -198*k**5/7 - 564*k**4 - 28272*k**3/7 - 86976*k**2/7 - 96000*k/7 + 6144/7 = 0. -8, -4, 2/33 Let d**2/4 - 33*d + 1089 = 0. Calculate d. 66 Determine n, given that -2*n**2 + 32*n + 34 = 0. -1, 17 Let 6*b**3 - 39*b**2 + 81*b - 54 = 0. Calculate b. 3/2, 2, 3 Suppose -2*w**5 + 24*w**4 - 70*w**3 - 24*w**2 + 72*w = 0. Calculate w. -1, 0, 1, 6 Let -2*a**4/11 + 4*a**3/11 + 98*a**2/11 - 4*a/11 - 96/11 = 0. What is a? -6, -1, 1, 8 Determine d so that -3*d**5/7 + 144*d**4/7 - 285*d**3 + 6474*d**2/7 - 7524*d/7 + 2904/7 = 0. 1, 2, 22 Factor 4*j**3 + 88*j**2 - 416*j. 4*j*(j - 4)*(j + 26) Factor -p**3 - 198*p**2 - 13068*p - 287496. -(p + 66)**3 Suppose -2*z**2 - 2502*z/7 + 716/7 = 0. What is z? -179, 2/7 What is p in -20*p**3 + 31*p**2/2 + 9*p/2 = 0? -9/40, 0, 1 Suppose 2*p**4/13 + 6*p**3/13 - 30*p**2/13 + 34*p/13 - 12/13 = 0. What is p? -6, 1 Factor d**4 - 68*d**3/7 + 127*d**2/7 + 6*d. d*(d - 7)*(d - 3)*(7*d + 2)/7 Let -9*h**5 + 15*h**4 + 3*h**3 - 15*h**2 + 6*h = 0. Calculate h. -1, 0, 2/3, 1 Factor 3*n**4 - 92*n**3 + 569*n**2 - 904*n - 368. (n - 23)*(n - 4)**2*(3*n + 1) Factor -4*r**4 - 56*r**3 + 220*r**2 + 272*r. -4*r*(r - 4)*(r + 1)*(r + 17) Solve 39*z**5 - 423*z**4 + 987*z**3 - 813*z**2 + 162*z + 48 = 0. -2/13, 1, 8 Suppose -3*d**2 + 84*d - 156 = 0. Calculate d. 2, 26 Let -2*v**2 - 510*v + 3132 = 0. Calculate v. -261, 6 Factor -4*t**5 - 184*t**4 - 1936*t**3 + 13832*t**2 + 180500*t - 768208. -4*(t - 7)*(t - 4)*(t + 19)**3 Factor -5*t**2 + 60*t - 55. -5*(t - 11)*(t - 1) What is t in -5*t**2 + 625*t - 620 = 0? 1, 124 Determine b, given that 4*b**3 - 392*b**2 + 9604*b = 0. 0, 49 Let -m**4 - 13*m**3 - 41*m**2 - 47*m - 18 = 0. Calculate m. -9, -2, -1 Suppose -8*v**2 - 694*v + 174 = 0. Calculate v. -87, 1/4 Suppose 2*n**4/19 - 24*n**3/19 + 100*n**2/19 - 168*n/19 + 90/19 = 0. Calculate n. 1, 3, 5 What is w in 4*w**4 + 8*w**3 - 20*w**2 - 24*w = 0? -3, -1, 0, 2 Factor 5*i**3 - 36*i**2 + 48*i + 64. (i - 4)**2*(5*i + 4) Factor s**3/2 - 23*s**2/2 + 66*s - 90. (s - 15)*(s - 6)*(s - 2)/2 Suppose -2*y**4/5 + 46*y**3 + 2*y**2/5 - 46*y = 0. What is y? -1, 0, 1, 115 Factor t**3 - 3*t + 2. (t - 1)**2*(t + 2) Factor 2*b**3/21 + 38*b**2/21 - 82*b/21 + 2. 2*(b - 1)**2*(b + 21)/21 Suppose -2*o**3 - 430*o**2 - 23744*o - 67416 = 0. Calculate o. -106, -3 Factor 2*a**3/17 - 352*a**2/17 + 160*a - 5376/17. 2*(a - 168)*(a - 4)**2/17 Factor 4*i**2 - 40*i - 96. 4*(i - 12)*(i + 2) Factor -2*z**4/19 + 480*z**3/19 - 27824*z**2/19 - 117120*z/19 - 119072/19. -2*(z - 122)**2*(z + 2)**2/19 Find q, given that -3*q**3/7 + 43*q**2/7 - 53*q/7 + 13/7 = 0. 1/3, 1, 13 What is k in -4*k**5/3 - 100*k**4/3 - 188*k**3/3 - 92*k**2/3 = 0? -23, -1, 0 Solve -4*x**4 - 16*x**3 + 12*x**2 + 56*x + 32 = 0. -4, -1, 2 Factor -3*q**2/4 + 465*q/4 + 117. -3*(q - 156)*(q + 1)/4 Find w, given that 12*w**3 + 5036*w**2 + 8368*w + 3344 = 0. -418, -1, -2/3 Determine l so that -2*l**4/11 - 776*l**3/11 - 76808*l**2/11 - 297984*l/11 - 294912/11 = 0. -192, -2 What is w in 4*w**2/7 - 1112*w/7 - 1116/7 = 0? -1, 279 Suppose -3*u**2 + 84*u - 81 = 0. Calculate u. 1, 27 Determine r so that -8*r**3/7 - 1740*r**2/7 - 126150*r/7 - 3048625/7 = 0. -145/2 Factor -5*p**5 - 5*p**4 + 60*p**3. -5*p**3*(p - 3)*(p + 4) Factor -3*y**3/8 - 21*y**2/4 - 135*y/8. -3*y*(y + 5)*(y + 9)/8 Find t, given that 25*t**5 + 15*t**4 - 75*t**3 + 5*t**2 + 30*t = 0. -2, -3/5, 0, 1 Factor -3*z**2 + 10677*z + 10680. -3*(z - 3560)*(z + 1) What is l in -l**2 - 608*l - 92416 = 0? -304 Find m, given that 2*m**2 + 26*m - 228 = 0. -19, 6 Solve 2*c**4/5 + 6*c**3/5 - 2*c**2/5 - 6*c/5 = 0 for c. -3, -1, 0, 1 Determine j, given that 2*j**5 + 6*j**4 + 4*j**3 = 0. -2, -1, 0 Factor -2*b**2/7 - 1828*b/7 - 417698/7. -2*(b + 457)**2/7 Suppose 2*f**5 - 18*f**4 - 124*f**3 - 216*f**2 - 112*f = 0. Calculate f. -2, -1, 0, 14 Let -g**4 + 157*g**3 - 768*g**2 + 1220*g - 608 = 0. Calculate g. 1, 2, 152 What is y in -2*y**3/17 - 16*y**2/17 - 14*y/17 = 0? -7, -1, 0 Factor -4*d**5 - 4*d**4 + 296*d**3 - 1368*d**2 + 2268*d - 1188. -4*(d - 3)**3*(d - 1)*(d + 11) Solve -3*m**5/5 - 12*m**4/5 + 69*m**3/5 + 162*m**2/5 - 324*m/5 - 648/5 = 0 for m. -6, -2, 3 Factor 4*g**4 + 12*g**3. 4*g**3*(g + 3) Suppose -2*y**2/17 + 80*y/17 = 0. Calculate y. 0, 40 Let -5*o**3 + 7695*o**2 + 15405*o + 7705 = 0. What is o? -1, 1541 Let 2*d**4 - 36*d**3 + 14*d**2 + 324*d + 272 = 0. Calculate d. -2, -1, 4, 17 Suppose 4*i**4 - 200*i**3 + 196*i**2 = 0. Calculate i. 0, 1, 49 Determine s so that -2*s**5/5 - 4*s**4 - 12*s**3/5 + 176*s**2/5 - 226*s/5 + 84/5 = 0. -7, -6, 1 Find m, given that -15*m**2 - 2485*m - 1650 = 0. -165, -2/3 Suppose -5*k**3 + 415*k**2 - 815*k + 405 = 0. What is k? 1, 81 Solve 20*x**5 + 250*x**4 - 2155*x**3/4 - 5515*x**2 - 10565*x/4 - 325 = 0. -13, -4, -1/4, 5 Let -108*y**4/7 - 436*y**3/7 - 64*y**2 - 16*y/7 = 0. Calculate y. -2, -1/27, 0 Factor 2*w**4/5 - 24*w**3/5 + 12*w**2 - 56*w/5 + 18/5. 2*(w - 9)*(w - 1)**3/5 Factor 8*m**2/11 - 254*m/11 - 64/11. 2*(m - 32)*(4*m + 1)/11 Determine s, given that -2*s**5 + 12*s**4 + 6*s**3 - 112*s**2 + 24*s + 288 = 0. -2, 3, 4 Factor 12*a**2 - 69*a - 510. 3*(a - 10)*(4*a + 17) Suppose -4*g**4 - 60*g**3 - 304*g**2 - 624*g - 448 = 0. What is g? -7, -4, -2 Determine d so that 3*d**3/4 - 6*d**2 - 111*d/4 + 33 = 0. -4, 1, 11 Let -2*n**5/3 - 8*n**4/3 - 2*n**3/3 + 28*n**2/3 + 40*n/3 + 16/3 = 0. What is n? -2, -1, 2 Factor -4*d**3/3 + 18*d**2 - 26*d/3. -2*d*(d - 13)*(2*d - 1)/3 Solve 5*j**4 + 102*j**3 + 135*j**2 + 38*j = 0 for j. -19, -1, -2/5, 0 Find t such that -2*t**2/5 + 7276*t/5 - 7274/5 = 0. 1, 3637 Let -i**3/6 - 7*i**2/6 - i = 0. Calculate i. -6, -1, 0 Factor 4*s**2/7 + 1004*s/7 - 144. 4*(s - 1)*(s + 252)/7 Find o such that 455*o**5 - 330*o**4 - 610*o**3 + 360*o**2 + 155*o - 30 = 0. -1, -3/7, 2/13, 1 Find p such that 14*p**4 + 114*p**3 + 240*p**2 + 32*p = 0. -4, -1/7, 0 Find t such that t**5/3 - 4*t**4 - 5*t**3/3 + 20*t**2 + 4*t/3 - 16 = 0. -2, -1, 1, 2, 12 Factor -r**4/3 + 28*r**3/3 - 25*r**2/3 - 18*r. -r*(r - 27)*(r - 2)*(r + 1)/3 Factor -2*p**3/5 - 52*p**2/5
{ "pile_set_name": "DM Mathematics" }
Let m be v(9). Let q be (6/(-7))/3 - 400/m. Solve 4*i = 2*x + 4, -q*x = -0*x + 4 for i. 0 Suppose 0 = 2*b - 5*y - 34, -27 = -7*y - 69. Solve 29*x - 20 = -b*g + 33*x, g - 15 = 3*x for g. 0 Suppose 20 = -49*w + 279 - 14. Solve -5*z - 2*t = 14, -32*t - w = 5*z - 27*t for z. -4 Suppose -153*f - 12 = -155*f, 4*x - 3*f + 6 = 0. Solve h = 2*t - 11, -x*h = -4*t + 47 - 24 for h. -1 Let s(x) = -2*x**2 + 61*x + 1881. Let b be s(-19). Solve -2*n + 5*l = -5*n + 1, b = -2*n + 4*l - 14 for n. -3 Suppose 3*o = w + 85, -2*w + 7*w = -5. Let q(p) = p**2 - 25*p - 84. Let r be q(o). Solve -3*h = 5*j - 22, -2*j + h + 12 - 1 = r for j. 5 Let n be (0 + 12)*2 + -1. Let y be 82/369 + (47/(-9) - 1). Let m be (-2 - (-40)/(-15))/(4/y). Solve -w + 5*w = -5*r + n, 2*w = -r + m for r. 3 Let r = 4699 - 4668. Solve 2*s - 4*y - 2 = -y, 3*s = -4*y - r for s. -5 Suppose 141*b - 4 + 7 = 3. Solve b = 2*f - 3*n - 8, -3 = 3*f - n - 1 for f. -2 Suppose -k = 3*p, -2*k = 3*k + 9*p - 7*p - 13. Let z(q) = -q**2. Let c be z(0). Solve 3*h + 4 = -5*x + k*x, -2*h + 2*x - 16 = c for h. -4 Suppose -102 = 21*b - 291. Solve -4*u + 15 = 5*l - b*u, -20 = 4*u for l. -2 Suppose -723*k + 728*k = 15. Solve -46*g - 4*w = -43*g + 2, 10 = 2*g - k*w for g. 2 Let q be 1286*(-5)/(-70) - 1/(-7). Suppose 0 = 2*o + l - 46, 0*o - 4*o + 5*l + q = 0. Let y = o + -19. Solve y*n + 1 = -3*r + 6, 5*n + 20 = 5*r for n. -1 Let d = 271 + -254. Let k(s) = -s**3 + 17*s**2 + 6. Let h be k(d). Solve -2*b + 10 = -2*a - 0*b, 2*a = -2*b - h for a. -4 Let u(v) = v**3 + 8*v**2 + 4*v - 6. Let l be u(-7). Let b(g) = 2*g**2 - 40*g - 1846. Let k be b(42). Solve -k*q + w = -9, -4*q - l = q + 5*w for q. 2 Let x be (-209)/(-55) - (-2)/10. Suppose -5*a = -0*a - 3*d - 16, d - 3 = 0. Let n be 1 + (5 - 20/a). Solve -x*u + 3*y + 7 = 0, y = -n*u + u + 7 for u. 4 Let u = -232 + 282. Let r be (-75)/(-9)*(-15)/u*-2. Solve 0 = v - 4, -r*n - 3*v + 35 = -2 for n. 5 Let i = -18927 + 18930. Solve 0 = i*b - 5*q + 5, -5*b + 0*q + 5*q - 15 = 0 for b. -5 Suppose -5*v = -0*v. Suppose -38*s - 2 = -40*s. Suppose -l = s, -l + 14 = 9*j - 6*j. Solve -t - a = -j*a + 18, v = t - a + 3 for t. 2 Suppose -4*u - 2*k - 188 = -6*k, -u - 3*k - 55 = 0. Let d be 2/(-7) - 210/u. Solve 0*i + d*i + 4*n - 4 = 0, 23 = 5*i - 4*n for i. 3 Let x be (-6)/(3/12 + (-12)/16). Let i be (15/x)/(((-6)/48)/(-1)). Solve 0 = -5*u - 5*a + 8*a + 30, 0 = 2*a + i for u. 3 Let g(a) = 6*a - 257. Let x be g(44). Suppose 6*c - x = 5. Solve -36 = 4*h - 5*t - 0, -c*h - 4*t = -8 for h. -4 Let m be 108/(12/2) - 2. Suppose -12 = m*v - 22*v. Suppose 2*q - 7 - 7 = 0. Solve 0 = 5*k + 2*c + q, 2*c - 16 = -v*c for k. -3 Let z be (-16 - 782/(-51))/(2/(-15)). Solve -6*j - 10*q + z*q = -31, 2*q = j + 9 for j. 1 Let s be (-432)/(-1080) + (-1 - 3/(-5)). Solve 2*v = -5*f + 23, f = 5*v - s*f - 17 for v. 4 Let c(r) = -42*r + 5. Let h be c(0). Solve -19*a + 20*a = h*o + 38, a = -o - 10 for o. -8 Suppose -27*c - 3*s + 135 = -22*c, 135 = 5*c - s. Solve 26*i - c*i = -3, 5*i - 5 = 2*m for m. 5 Suppose -29 = 47*o - 2614. Solve -5*i + 4 = b, -2*i + o*b = 59*b - 16 for i. 0 Suppose 0 = 58*l - 55 - 235. Solve n = 5*g - 7, n + 13 = l*g - 3*n for g. 1 Suppose -241 = 67*v - 1179. Solve 0 = 6*t - y + 14, 0 = -0*t - 3*t + 4*y - v for t. -2 Suppose -18*n - 709 = -781. Solve 0 = -n*h - 2*g - 24, 2*h - 11*g + 15*g = -36 for h. -2 Suppose -2416*t + 2417*t - 10 = 0. Solve -4*q + 8 = -4*c, 5*c - t*q + 9*q = -2 for c. 0 Suppose -2*l + 4*y = -30, 4*l - 10 - 54 = 4*y. Solve w - b = -6, -64*b = -3*w - 62*b - l for w. -5 Let o be 1 + 641 + (2/(-2) - -3). Suppose 46*y - 53*y + o = 0. Let k = 97 - y. Solve 2*a - 14 = -0*a + 2*w, 4*w = -k*a + 17 for a. 5 Suppose -3*y - 6 = 98*f - 92*f, 3*y + 4*f = 2. Solve y*z + 4 = 2*z + 4*o, -3*o + 9 = 0 for z. 2 Let i = 19 - 13. Let r = 3810 - 3808. Solve 2*u + 4*y - i = 0, u - 5*y = 1 + r for u. 3 Suppose -9*q + 13*q + 3*p = 114, -q - p = -30. Solve -3*u = u - 4*t + q, 0 = -4*u - t + 1 for u. -1 Suppose -954 = -77*i - 107. Solve -i = 3*k - 2*u, -3*k = -4*k - 3*u for k. -3 Suppose 0 = 10*p + 9 + 101. Let l be (1 - p/(-2))/((-12)/8). Solve -l*s - 2 = n, 3*n + 3*s + 0 = 6 for n. 4 Suppose 3*z - 2600 = -10*z. Let r = 212 - z. Suppose 3 = 5*l - 12. Solve 3*c - 3*i = r, l*i - 18 = -4*c - 2 for c. 4 Let h(r) = -r**3 - 8*r**2 - 23*r - 174. Let a be h(-8). Solve d - 3*i = 10, 0 = -2*d + 2*i + a + 2 for d. 4 Let c(d) = -4*d + 43. Let w(f) = -13*f + 171. Let u(z) = -9*c(z) + 2*w(z). Let b be u(5). Solve 18 = -4*x + m - 2*m, -x = b*m - 5 for x. -5 Let l(p) = 2*p**3 - 3*p**2 + 5*p - 7. Let d be l(2). Solve 3*n + d*q - 3 = 12*q, 0 = -n - 5*q - 19 for n. -4 Let s be (-11)/(385/3670) + 2/(-14). Let b = 105 + s. Solve 5*q - 5 = b, 5*p + q + q = -3 for p. -1 Let q be -5 + (18 - 4 - 3). Let d be (q + -97)/(-7) + -7. Solve -4*b = -5*a - 8 + 20, -d = 5*b - 4*a for b. 2 Suppose 41 = i + 4*l, 5*i + 2*l - 588 = -473. Solve x = -4*n - i, x - 10 = -3*n - 27 for x. -5 Let j(t) = -t**3 - 15*t**2 - 14*t + 34. Let z be j(-12). Let k = -226 - z. Solve -k*v - 27 = -4*c - 7, c = 2*v + 6 for c. 4 Let p(k) = -k**2 + 12*k + 17. Let s be p(13). Let w be (-6 - -9)/(s - 3). Solve q - 2 = -w*n - 12, 5*n = -2*q - 15 for q. 5 Let n(p) = -10*p + 123. Let z be n(13). Let u = 11 - z. Solve -4*y + r = -u, 3*r + 12 = 2*y + r for y. 4 Let x(f) = 179*f**3 + 2*f**2 - 3*f. Let l be x(1). Let o = l - 176. Solve -c + 11 = 2*q, 0 = -0*q - o*q + 8 for c. 3 Let q(j) = j**3 + 5*j**2 - 26*j - 75. Let l be q(-7). Let r = -7 + 12. Solve -4*a - l = -a + 5*x, -2*a + r*x = -19 for a. 2 Let q = 178 - 119. Let y = q + -55. Solve -2*t - 2 = p - 2*p, -4*t = 4*p + y for p. 0 Let u(c) = -93*c - 651. Let h be u(-7). Suppose -3*j - 5 + 14 = 3*l, -3*j + 4*l + 16 = 0. Solve -2*b = -j*p - 4, h*b = b + p + 4 for b. -2 Suppose h - 2 + 12 = 3*v, -5*v = -h - 20. Suppose -6*d + d - 8 = -3*s, h*s = -d - 24. Let g be d/8*(-8)/1. Solve -3*k + 13 = g, 2*w - 3*k = -7 for w. 1 Suppose -342*b + 412 = -239*b. Solve -b*y - 4*x = 16, -y - 2*x = -5*x for y. -3 Suppose 2*a = -5*d + 179, 4*a = 5*d - 0*d - 197. Let u = d + -35. Solve -5*k + s = u*s - 21, -4*k = 5*s for k. 5 Let c be (-4)/18*-21 - 36/54. Suppose -f = c*w - 2, -8 = -4*f - 0*f + 5*w. Solve 0 = -f*s - 3*i + 9, 0*i + 6 = 4*s + 2*i for s. 0 Let o(s) = 6*s**2 + s - 5. Let t be o(3). Suppose -f = 0, -2*k - 4*f = -t + 8. Solve 4*c + k = 3*z, -5*z - 2*c + 0*c + 2 = 0 for z. 2 Suppose -33 = 6*s - 39. Let c = -2 + 1. Let w be (2 - s)*(6 - c). Solve -w*d - 4*f - 29 = -4*d, 0 = 3*d - 2*f - 1 for d. -3 Let p be (-4 - (-42)/(-6))/(0 + (0 - 1)). Solve 5*v + 4*y = -16 + p, 0 = 4*y for v. -1 Let r = -10714 - -10735. Solve -u + 3*u - 9 = 5*n, 3*n = -4*u - r for n. -3 Let z(i) = 323*i + 2. Let r be z(0). Solve -2*a = 4*o - 7 - 11, 0 = r*a - 4*o - 2 for a. 5 Let v be (-30)/(-12)*-2 - -105. Suppose 22*n - v = 2*n. Solve n*q - s + 9 = -3, -5*q + 5*s = 0 for q. -3 Suppose 3*n = x + 12, 2*x - 6*x = -5*n + 20. Suppose -5*g = x, 4*p - 5 = 2*g + 3. Solve -2*q - 10 = 2*v, 3*v + p*q + 4 = -11 for v. -5 Suppose 1 = x, -5*c - 180 = 4*x - 204. Solve -5*r = m + 4, 0*r + m = 4*r - c for r. 0 Let g(r) = 28*r + 424. Let w be g(-10). Suppose -3*o - w = -159. Solve 3*p = 3*m + 3 + 9, 14 = -p - o*m for p. 1 Suppose -11*h - 1071 = 38*h - 1316. Let w = 5 - 3. Solve -f - l = -w*f - 3, 0 = -h*f - 3*l - 23 for f. -4 Let r be 87/6 - (-18)/(-36). Solve -4*b - 28 = 5*q, 3*q - b - 4 = -r for q. -4 Let n(l) = l**3 - 11*l**2 + 39. Let j be n(12). Let d = j + -181. Solve -d*v = 3*i + 10 - 1, 4*i = v - 23 for v. 3 Suppose 0 = 805*d - 808*d + g + 16, 0 = -3*d - g + 8. Solve 0*z = -l + 4*z - 1, -4*l - d = 4*z for l. -1 Suppose -23*r = -15*r + 2184. Let u = -272 - r. Solve -2*z - 5*w = 8, 0 = -z + 2*w - 3 - u for z. -4 Let f be 7/4 - 1/(-4). Let g(l) = 112*l + 8292. Let o be g(-74). Solve o*a = 3*i + 10, f*i - a = 5*i - 10 for i. 2 Suppose -t = -0*t - 17. Suppose 2*a + 77 - t = 0. Let b be (72/a + 2)/(4/(-10)). Solve 3*s - 4 - b = -2*m, -5*s + 4*m + 1 = 0 for s. 1 Let x(r) = 135*r - 3509. Let g be x(26). Solve 4*b - 3*v = -g, -b = 2*b + 4*v - 18 for b. 2 Suppose 2*i = 5*w + 822 - 3409, -4*w + i + 2069 = 0. Let r = 522 - w. Solve k = -f - 2, -3 + 1 = -3*f + r*k for f. -1 Suppose 0*m = 2*m + 4. Let i be 0*m/(-6) + 8. Suppose 15*g - 21 = i*g. Solve 0 = -5*r - o + g*o - 1, -2*r - 5*
{ "pile_set_name": "DM Mathematics" }
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2 What is the billions digit
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of h? 5 Suppose -4*y = -8, -53508 = -4*b - 4*y - 11072. What is the hundreds digit of b? 6 Let u(n) = 2*n + 92. Let w be (-31)/(-4) - ((-15)/(-20))/(-3). What is the tens digit of u(w)? 0 Suppose 4*l - 5*s + 19 = 0, -2*l - 3*s = -8 + 1. Let d be l/2 - (-6232)/16. Suppose 2*f - r - d = 125, 257 = f + 3*r. What is the hundreds digit of f? 2 Suppose 179*x - 1223179 = 220456. What is the thousands digit of x? 8 Let l(k) = -4*k - 2. Let j be l(-2). Let s = -2291 + 2675. Suppose -j*v - s = -22*v. What is the tens digit of v? 2 Suppose -4*h + 70916 = 4*u, 2*h + 21927 - 4207 = u. What is the thousands digit of u? 7 Suppose 3*r - 2757 - 11880 = 0. What is the hundreds digit of r? 8 Let l be 4/12*3 + 22 - 2. Suppose l*y = -65 + 485. What is the tens digit of y? 2 Suppose -13*b - 7202 = -0*b. Let m = b + 1181. What is the hundreds digit of m? 6 Let t(m) = -17 - 5*m + 15*m + 12*m**2 - 5*m. Let o = -65 + 68. What is the units digit of t(o)? 6 Let q(n) = 351*n - 435. What is the thousands digit of q(11)? 3 Suppose -2*o - 2*t + 1846 = 0, -2*o = -0*t + 5*t - 1849. What is the units digit of o? 2 Let w(m) = 2*m**3 - 15*m**2 + 20*m + 21. Let z be (8 + 105/(-10))/((-1)/4). What is the hundreds digit of w(z)? 7 Let u = -36202 + 58008. What is the ten thousands digit of u? 2 What is the units digit of (5840937/(-1362))/(3/(-2) - -1)? 7 Suppose 0 = -16*m + 4*m + 284832. Suppose -2*v = 21*v - m. What is the tens digit of v? 3 Let m(b) = -b**2 - 4*b + 1. Let o = -127 + 125. Let l be m(o). Suppose 279 = 5*f + 4*z - 366, l*f - 4*z = 605. What is the units digit of f? 5 Let l(v) = 592 - 586 + 26*v - 173*v. What is the tens digit of l(-1)? 5 Let z(n) = -n**2 - 11*n. Suppose -29 = 5*y + 11. Let b be z(y). Let u = 41 - b. What is the tens digit of u? 1 Let u(w) = w**2 + 30*w + 60. What is the units digit of u(68)? 4 What is the units digit of -2 - -8 - 225159/(209/(-19))? 5 Let j be 4 + 68/(-20) + (-12)/20. Suppose 432 = p - 4*m, -19*p + 16*p - 3*m + 1371 = j. What is the hundreds digit of p? 4 Let a = 13398 - 4666. What is the thousands digit of a? 8 Let u be 1/(8/(-10) + 1). Let g(z) = z**2 + 72*z + 1309. Let r be g(-28). Suppose 425 + r = 5*p - 4*s, u*p = s + 493. What is the units digit of p? 8 Let q(z) = -3*z - 34 + z**2 - 9*z - 5*z. Let d be q(18). What is the tens digit of ((-348)/d)/(9/24) + -2? 5 Let b(x) = 539*x - 2998. What is the thousands digit of b(10)? 2 Let h = 75 + 81. Suppose 0 = -4*v + u + 1107, -5*v + 2*u + 1224 = -h. What is the units digit of v? 8 Let h = 3165 + -542. Suppose 9103 - h = 9*n. Suppose 4*a + 2*p = n, a - 173 = -p + 4*p. What is the tens digit of a? 7 Let a = -46 - -204. Suppose 4*i - 3*i = -a. Let p = -88 - i. What is the units digit of p? 0 Let v = 23988 + -4113. What is the hundreds digit of v? 8 Suppose -33 = -5*k - 4*w, -5*k = -0*w - w - 23. Suppose -4*j + 4*y = -28, 1 - 4 = 3*j + k*y. What is the units digit of (8/(-3))/(j/(-132))? 8 What is the tens digit of ((4*5/(-60))/1)/((-1)/354)? 1 Let n(v) be the second derivative of v**4/6 - 5*v**3/6 - 9*v**2 - v + 12. What is the hundreds digit of n(-12)? 3 Suppose 2*h + 116 = 3*j - 2*h, -2*j + 3*h = -76. Let a(d) = -11*d**2 + 237*d + 77. Let y be a(19). Suppose -47*i + y = -j*i. What is the units digit of i? 3 Let n(k) = 4*k**2 + 183*k + 7. What is the thousands digit of n(-71)? 7 Let u be 4/((-6 + 4)*(-1)/(-6)). What is the hundreds digit of u/(-12) + 0 + 279? 2 Let l(z) = -6*z**2 - 7 - 5*z**2 - 3*z**3 + 19*z - 42*z + z**3. Let o(j) = j**3 + j**2 - 2*j + 6. Let i be o(-3). What is the tens digit of l(i)? 6 Let r = -46865 - -85899. What is the hundreds digit of r? 0 Suppose -4*v = -3*z + z - 82, 5*v = -3*z + 108. What is the units digit of 8877/v + -7 - 2/(-7)? 6 Let c = -90 - -115. Let p be 42/(-3 - c/(-5)). What is the units digit of (1 + p)/((-60)/(-270))? 9 Let s = 98 - 96. Suppose 35 - 19 = -s*f. Let r(j) = 2*j**2 + 9*j - 17. What is the units digit of r(f)? 9 Let k be (-2 + (-33)/(-18))*-8*3. Suppose 0 = 2*l + 2, k*b + l + 3 = -14. What is the units digit of 4 - (b + 4 - 9)? 3 Let k = -33775 + 65244. What is the ten thousands digit of k? 3 Suppose -2*i - 4 = -3*l - 79, 2*l = 5*i - 182. Suppose 3*b + i = 9*b. What is the tens digit of (301/(-14))/((-1)/b)? 2 Let r = -11370 + 39297. What is the units digit of r? 7 Suppose -25*a = -13*a - 298524. Suppose -a = -19*w - 6029. What is the tens digit of w? 9 Let f(c) = 98*c**3 + 2*c**2 - 5. Let j be f(2). Let d = -371 + j. What is the hundreds digit of d? 4 Suppose 66*m = 68*m - 18. Suppose -4*o = -3*u + o + 17, -o - m = -2*u. Suppose 0*x = 3*x + t - 557, -u*x + 3*t + 760 = 0. What is the hundreds digit of x? 1 Suppose -3*d = -8*d + 3*s + 1304, -5*d = 2*s - 1314. Let g = 409 - d. Suppose 2*p = g + 75. What is the tens digit of p? 1 Let t(j) = 2*j**3 - 44*j**2 + 40*j + 34. Let u be t(21). What is the units digit of 7 + 60/u - 2089/(-2)? 4 Suppose 7*s = 651 + 294. Suppose 0 = -2*k - 35 + s. What is the units digit of k? 0 Let w = 97 + 29. Let h be (-1288)/(-24) + 3/9. Let v = w + h. What is the units digit of v? 0 Suppose 0 = 2*v + 2*n - 6, 2*v - 6 = -5*n. Suppose 2*g - 4*u = -g + 410, -4*u = v*g - 418. Let r = g + -25. What is the hundreds digit of r? 1 Let j = 28672 + -18349. Suppose 54*b + j = 63*b. What is the units digit of b? 7 Let n(i) = i**3 - 2*i**2 - 5*i + 8. Let o be n(3). Let g = o - -530. What is the tens digit of g? 3 Suppose -6*o + 2*o + 12 = 0. Let l(x) = -x + 7. Let z be l(o). What is the units digit of (1 + (-20)/z)*45/(-4)? 5 Let p be ((-104)/10)/(2 + 147/(-70)). Suppose -p = 2*k - 132. Suppose -2584 = -k*r - 512. What is the hundreds digit of r? 1 Let v = 934 - -213. Let x = 1685 - v. What is the units digit of x? 8 Suppose 3*r - 2*r + 2 = s, 5*s - 2*r = 13. Suppose -2*c - 4*z = 0, s*c + 0*z = -4*z + 4. Let f(j) = 8*j - 2. What is the tens digit of f(c)? 3 Let u = 735 - -2632. What is the thousands digit of u? 3 Suppose 0*v = 3*v - 4*a - 21712, a = -2*v + 14449. What is the tens digit of v? 2 Suppose 2*t + 11 = 3*g, -g + 7 = 2*t - 2. Let y(i) = 4*i + 10. Let m(v) = 4*v + 9. Let q(p) = g*m(p) - 6*y(p). What is the units digit of q(-11)? 9 Let l be 57/21 - 6/(-21) - 6. Let r be (-2)/l*(-2)/4*6. What is the units digit of (48/(-40))/(r + (-1011)/(-510))? 8 Suppose g = 4*p + 3*g + 2300, 3*p - 2*g = -1711. Let y = -232 - p. What is the hundreds digit of y? 3 Suppose -3*b + 2061 - 687 = -3*y, -4*y + 2*b = 1822. Let w = y - -480. What is the units digit of w? 7 Let w = -1168 + 1960. Suppose -2*t = -r - w, -t - 8*r = -7*r - 399. What is the tens digit of t? 9 Let o(b) be the third derivative of b**5/60 - 5*b**4/8 + 9*b**3 - 28*b**2. What is the hundreds digit of o(20)? 1 Suppose 0 = -5*w - n + 2395, 494 = 3*w + 2*n - 950. What is the units digit of w? 8 Suppose -o + 5*u + 2 = -0*u, 2*u = -3*o + 23. Let z = o + -11. What is the units digit of 1*z + 103 + -5? 4 Let i(y) = y**2 + 8*y + 22. Let h(n) = -n**3 - 10*n**2 + 9*n - 25. Let a be h(-11). Let j be 82/(-6) - (4/a)/2. What is the units digit of i(j)? 7 Let h be 1 + -3 + 4 - 51. Let l = -32 - h. Suppose -y + 114 = -l. What is the hundreds digit of y? 1 Let h(p) = -2*p**3 + 14*p**2 + p - 8*p**2 + 4*p**2 + 6 + p**3. Suppose 10*f + 6*f = 112. What is the tens digit of h(f)? 6 Suppose 17681 = -8*w + 11*w + v, -5*v - 29495 = -5*w. Suppose -5*r + 2*i = -5895, -i - w = -4*r - r. What is the units digit of r? 9 Let w(a) = -a + 7. Let y be w(-13). Suppose 23*l - y*l - 1143 = 0. Suppose -r = 4*f - 0*r - 310, 5*f - 2*r = l. What is the units digit of f? 7 Let r = -689 - -262. Let v = r + 674. What is the hundreds digit of v? 2 Suppose 3*o + 32 = 5*w, -w + 5 = -o - 3. Suppose -l + 5*l = -w. What is the tens digit of ((2 - 61) + (-8)/4)/l? 6 Let o(k) = -1531*k + 123. What is the thousands digit of o(-5)? 7 What is the thousands digit of (2*-1 + 14304)*((-377)/26)/(-29)? 7 Let w(o) = 253*o**2 - 10*o - 8. What is the thousands digit of w(5)? 6 Let z be -3*(3 - 4 - 0). What is the units digit of 437 + 6/(-18)*z? 6 Let z be (56/(-24))/((-7)/9). What is the tens digit of z/(-9 - 3) + 73318/56? 0 Suppose -5*m + 2*t + 218 = 0, -t + 4*t = -4*m + 179. Let a = 156 - m. Let p = a - 30. What is the units digit of p? 2 Let s(m) = m**3 + 2*m**2 - 5*m + 2. Let c be s(2). What is th
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 4504 What is 1845644 to the power of 1/9, to the nearest integer? 5 What is 277966 to the power of 1/3, to the nearest integer? 65 What is the tenth root of 282151 to the nearest integer? 4 What is 5972884 to the power of 1/2, to the nearest integer? 2444 What is 87707 to the power of 1/2, to the nearest integer? 296 What is 1133246 to the power of 1/2, to the nearest integer? 1065 What is the third root of 12313560 to the nearest integer? 231 What is 501990 to the power of 1/3, to the nearest integer? 79 What is the tenth root of 140121 to the nearest integer? 3 What is the sixth root of 329097 to the nearest integer? 8 What is the sixth root of 134743 to the nearest integer? 7 What is the square root of 8456565 to the nearest integer? 2908 What is the square root of 5721085 to the nearest integer? 2392 What is 2366974 to the power of 1/2, to the nearest integer? 1538 What is the square root of 749084 to the nearest integer? 865 What is the fifth root of 18885127 to the nearest integer? 29 What is the square root of 63692 to the nearest integer? 252 What is the fourth root of 844683 to the nearest integer? 30 What is the cube root of 1965937 to the nearest integer? 125 What is the fourth root of 648912 to the nearest integer? 28 What is 2595094 to the power of 1/2, to the nearest integer? 1611 What is 9708769 to the power of 1/2, to the nearest integer? 3116 What is the fourth root of 31396545 to the nearest integer? 75 What is 950286 to the power of 1/2, to the nearest integer? 975 What is 241489 to the power of 1/3, to the nearest integer? 62 What is the cube root of 27788285 to the nearest integer? 303 What is 4856664 to the power of 1/3, to the nearest integer? 169 What is 3136574 to the power of 1/2, to the nearest integer? 1771 What is the square root of 21787882 to the nearest integer? 4668 What is the third root of 28653353 to the nearest integer? 306 What is the tenth root of 5569265 to the nearest integer? 5 What is 524990 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 1512056 to the nearest integer? 6 What is the square root of 1808023 to the nearest integer? 1345 What is the seventh root of 628956 to the nearest integer? 7 What is 912760 to the power of 1/3, to the nearest integer? 97 What is the ninth root of 1754899 to the nearest integer? 5 What is the fourth root of 333912 to the nearest integer? 24 What is 2478240 to the power of 1/5, to the nearest integer? 19 What is the sixth root of 125609 to the nearest integer? 7 What is 6475654 to the power of 1/2, to the nearest integer? 2545 What is 1108951 to the power of 1/3, to the nearest integer? 104 What is the fifth root of 1087807 to the nearest integer? 16 What is the fourth root of 141551 to the nearest integer? 19 What is the square root of 2739477 to the nearest integer? 1655 What is 7459888 to the power of 1/3, to the nearest integer? 195 What is the fifth root of 3327910 to the nearest integer? 20 What is 735482 to the power of 1/3, to the nearest integer? 90 What is the square root of 4000220 to the nearest integer? 2000 What is the third root of 1565072 to the nearest integer? 116 What is the square root of 11634292 to the nearest integer? 3411 What is the square root of 2469994 to the nearest integer? 1572 What is the square root of 11680886 to the nearest integer? 3418 What is 5270429 to the power of 1/3, to the nearest integer? 174 What is the cube root of 74639 to the nearest integer? 42 What is the tenth root of 106818 to the nearest integer? 3 What is the third root of 46149 to the nearest integer? 36 What is 1512375 to the power of 1/2, to the nearest integer? 1230 What is the sixth root of 147922 to the nearest integer? 7 What is 1470677 to the power of 1/2, to the nearest integer? 1213 What is the third root of 212736 to the nearest integer? 60 What is the square root of 952082 to the nearest integer? 976 What is the square root of 752406 to the nearest integer? 867 What is the third root of 292870 to the nearest integer? 66 What is 440814 to the power of 1/2, to the nearest integer? 664 What is the cube root of 4929952 to the nearest integer? 170 What is 240171 to the power of 1/2, to the nearest integer? 490 What is 1031683 to the power of 1/2, to the nearest integer? 1016 What is 8327960 to the power of 1/7, to the nearest integer? 10 What is the seventh root of 3374413 to the nearest integer? 9 What is the tenth root of 113105 to the nearest integer? 3 What is the third root of 487408 to the nearest integer? 79 What is the tenth root of 12870300 to the nearest integer? 5 What is 859104 to the power of 1/2, to the nearest integer? 927 What is 461549 to the power of 1/9, to the nearest integer? 4 What is the ninth root of 238861 to the nearest integer? 4 What is the square root of 290946 to the nearest integer? 539 What is 352678 to the power of 1/4, to the nearest integer? 24 What is 2435457 to the power of 1/9, to the nearest integer? 5 What is the fourth root of 9298927 to the nearest integer? 55 What is the third root of 8110168 to the nearest integer? 201 What is the seventh root of 70045 to the nearest integer? 5 What is the sixth root of 1966458 to the nearest integer? 11 What is 135832 to the power of 1/4, to the nearest integer? 19 What is the seventh root of 18063558 to the nearest integer? 11 What is 551434 to the power of 1/2, to the nearest integer? 743 What is the square root of 80748 to the nearest integer? 284 What is 990516 to the power of 1/2, to the nearest integer? 995 What is the cube root of 12786747 to the nearest integer? 234 What is the square root of 223955 to the nearest integer? 473 What is the cube root of 1013355 to the nearest integer? 100 What is 2848858 to the power of 1/7, to the nearest integer? 8 What is the square root of 62879 to the nearest integer? 251 What is 2066426 to the power of 1/10, to the nearest integer? 4 What is the square root of 1440882 to the nearest integer? 1200 What is 693987 to the power of 1/2, to the nearest integer? 833 What is the square root of 733220 to the nearest integer? 856 What is the square root of 11442914 to the nearest integer? 3383 What is the cube root of 179405 to the nearest integer? 56 What is the square root of 135305 to the nearest integer? 368 What is 10207 to the power of 1/3, to the nearest integer? 22 What is the tenth root of 2641478 to the nearest integer? 4 What is the eighth root of 178239 to the nearest integer? 5 What is the fourth root of 179149 to the nearest integer? 21 What is the cube root of 2030421 to the nearest integer? 127 What is 135253 to the power of 1/2, to the nearest integer? 368 What is the cube root of 18600087 to the nearest integer? 265 What is the fifth root of 2815173 to the nearest integer? 19 What is the seventh root of 105521 to the nearest integer? 5 What is the third root of 29669245 to the nearest integer? 310 What is 23803912 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 156709 to the nearest integer? 11 What is 127182 to the power of 1/3, to the nearest integer? 50 What is the square root of 316964 to the nearest integer? 563 What is 1299715 to the power of 1/9, to the nearest integer? 5 What is the square root of 11176338 to the nearest integer? 3343 What is the third root of 16182576 to the nearest integer? 253 What is the square root of 122230 to the nearest integer? 350 What is 2636970 to the power of 1/3, to the nearest integer? 138 What is the third root of 218617 to the nearest integer? 60 What is the cube root of 1320561 to the nearest integer? 110 What is the cube root of 3039959 to the nearest integer? 145 What is the eighth root of 5681467 to the nearest integer? 7 What is 31360157 to the power of 1/2, to the nearest integer? 5600 What is the third root of 172073 to the nearest integer? 56 What is 446200 to the power of 1/3, to the nearest integer? 76 What is 29301117 to the power of 1/6, to the nearest integer? 18 What is 373317 to the power of 1/10, to the nearest integer? 4 What is the third root of 13155727 to the nearest integer? 236 What is 978344 to the power of 1/5, to the nearest integer? 16 What is the square root of 86256 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
- 7, 0 = 2*k - 7*s + 4*s - 17 for k. 4 Solve 2*o - 1391 = s - 1368, 15 = 3*s for o. 14 Solve 2*l - 2926 + 2937 = -3*r, -r = -l + 12 for r. -7 Solve 2*j = -4*z - 10, 369*z - 373*z = -3*j + 15 for j. 1 Solve 8 = -32*c - 4*z, 57*c - 55*c = -4*z + 22 for c. -1 Solve -3*w + 2*s - 14 = 10*s, -3*w + 3*s - 3 = 0 for w. -2 Solve 23*z - 12 = 20*z, 5*a + z + 0 + 6 = 0 for a. -2 Solve -472*q = -469*q + u + 5, -8 = 4*u for q. -1 Solve 4*w + 8 = -2*b, -b - 1 = 572*w - 571*w for b. 2 Solve 171*y - 176*y - 22 = 2*g, -4*y = -2*g - 58 for g. -21 Solve 11840*p + 54 = 3*s + 11819*p, 0 = -3*s + 3*p for s. -3 Solve 4*h - 26 = -2*d, 186*d - 191*d + 41 = 4*h for h. 4 Solve -51 = -4*o + 5*i, -909*o - 5*i = -905*o - 21 for o. 9 Solve 0 = -9*q - 4*t + 63 - 43, 5*t - 58 = -3*q for q. -4 Solve -6*b + 15 = -j, -593*j = -595*j - b - 4 for j. -3 Solve 14*u + 3*n = -64, u + 434*n - 438*n = -13 for u. -5 Solve 13*p = 3*q + 80, -8*q + 3*q - 4*p = 5 for q. -5 Solve -6 = 5*f + 1420*p - 1423*p, 0 = 11*f - 2*p + 4 for f. 0 Solve -837*i + 7 = -835*i + d, -3*d + 18 = 3*i for i. 1 Solve -4*o + 0*z = -z, -3*z = 4*o - 0*z - 16 for o. 1 Solve 0 = -47*g - 5*k - 188, 3*g - 3 = 4*g - 5*k + 1 for g. -4 Solve 4*j + 59*q - 56*q = 24, -5*j + 30 = -2*q for j. 6 Solve 68*s - 68*s + 10 = -2*d, -3*s = 14*d + 82 for s. -4 Solve 12 = 4*f - 3*t, f + 2*t - 92 = -89 for f. 3 Solve 3*q = y - 6 + 7, -11*q - 4*y - 31 = -73 for q. 2 Solve 2*m - 8 = -2*h, -3*h + 8*h = -38*m + 20 for m. 0 Solve 3*j + 6*w - 131 = -155, -3*w - 3 = -3*j for j. -2 Solve d - q + 1 = 0, -3*d - 602 + 598 = -2*q for d. -2 Solve 0 = 386*j - 385*j + 2, 0*d + d + 3*j + 2 = 0 for d. 4 Solve -b = 4*g - 7, -58*g = -3*b - 60*g - 19 for b. -9 Solve -590*h + 593*h = 2*y + 43, 5*h - 4*y = 81 for h. 5 Solve -5*b - w = -27, 3*w = -b + 1557 - 1546 for b. 5 Solve 607*n - 604*n + 3*u + 12 = 0, 2*n + 5*u = -23 for n. 1 Solve 5*g = -2*r + 24, -5*g - 5*r = -11 - 19 for g. 4 Solve 2*v = -q, v + 63 - 56 = -4*q for q. -2 Solve -4*d = -20, 7*p - 3*p = -p + 5*d for p. 5 Solve 5*l + 3 = -3*v, 5027*l - 5026*l = v - 7 for v. 4 Solve 287*i + 30 = 5*t + 291*i, 0 = t - i + 3 for t. 2 Solve 0 = 3*c - 119*v + 116*v + 12, -6*c + 4*v - 28 = 0 for c. -6 Solve 4*p = 4*c + 20, c + 8 = -67*p + 69*p for p. 3 Solve 4*f = 3*k, -3*k + 9*f = 10 + 5 for k. 4 Solve -f = 2, 61949*f - 61947*f = a - 5 for a. 1 Solve 3*n = -15, 28 = 2*u - 3*n + 11 for u. 1 Solve y - 6 = v, 5*v + 23*y = 19*y + 15 for v. -1 Solve -3*m - 13 = -f, -3*f + 630 = m + 621 for f. 4 Solve -3*w + 3*u + 9 = 0, 5*u - 156 = 2*w - 180 for w. -3 Solve -3*a - 14 = -17*h + 16*h, 3*a + h = -4 for a. -3 Solve 4*p - 9 = -w - 2, 12 = 4*w for p. 1 Solve 3*c - 5 = 5*f, -2 = 30*f - 13*f - 15*f for c. 0 Solve -5*v = d + 26, -6*v - 3*d = 73 - 49 for v. -6 Solve -2*h = 4*t - 14, 90*h - 88*h = 4*t - 10 for h. 1 Solve 29 = -3*l + 5*d + 49, 4*d = -4*l + 16 for l. 5 Solve q = 4*g - 1, -111 - 135 = -4*g + 50*q for g. -1 Solve -19*y + 9*y + 9*y + 7 - 10 = 0, 2*i - 8*y = 20 for i. -2 Solve -h - 15 = -3*k, 5*h = 4*h - 2*k + 10 for h. 0 Solve 16*g + b - 12 = 20*g, 0 = g + 3*b + 3 for g. -3 Solve -11*o = 5*v + 11, -82 + 84 = -2*o - v for o. -1 Solve 3*x = 3*z + 42, -z + 8 - 33 = -2*x for x. 11 Solve 1228*l - 1224*l + 21 = -5*h, 0 = -13*h + 5*l + 7 for h. -1 Solve -5*a = -3*g - 2*g + 35, -2*a + 3*g = 20 for a. -1 Solve 1 = 37*n + 2*u + 73, -3*n + 3*u - 9 = 0 for n. -2 Solve 0 = 2*x + 2*k - 48, 6*x = -2*k + 503 - 467 for x. -3 Solve -g + 12*z - 13*z - 4 = 0, -2*z = -g - 4 for g. -4 Solve -t - 208*w + 210*w + 7 = 0, -4*t = -5*w - 25 for t. 5 Solve 74*g - 78*g = -c - 2 + 5, -7 = 6*c + g for c. -1 Solve -2*c - 6 = -q, 0 = -4*q + 9*c + 90 - 65 for q. 4 Solve 14 = 3*f + 5*s, -10*f + 3*s = -0*f - 27 for f. 3 Solve -3*u + 37*h = -207 + 25, -u + 9 = -2*h for u. -1 Solve 3*h - 1 = 5*z, 88*z + 3*h + 11 = 87*z for z. -2 Solve 2598 = -3*i + 4*k + 2587, -2*i - 3*k + 21 = 0 for i. 3 Solve -f + 5*d = 10, -3524*d + 3525*d + 17 = 4*f for f. 5 Solve -7*n + 28 = 62*h - 59*h, 11 = 4*n + h for n. 1 Solve 28*h = -3*d + 23*h - 17, -4*h = 4*d + 20 for d. -4 Solve -5*u - 32 = -3*f, 184*f + 2*u = 182*f for f. 4 Solve 3*n + 7 = -5*c, 4*c - 28 + 38 = 2*n for c. -2 Solve 2*o = -5*i + 40, -i - 3*o - 51 + 72 = 0 for i. 6 Solve 0 = 3*q + 2*g - 10 - 14, -40 = -5*q + g for q. 8 Solve 2*g + 16*z + 62 = 0, 0 = -4*z - 49 + 33 for g. 1 Solve -12*t + 29*q = 28*q + 31, 4*q = -4*t + 20 for t. -2 Solve 4*s - 3*x = 10, -4*x = -1340 + 1332 for s. 4 Solve -4*x + 9 = 5*q, 5*x = -2*q + 27 - 20 for x. 1 Solve 3*m - 75 = -5*n, m = -214*n + 213*n + 17 for n. 12 Solve 75 = -5*b + 5*g, -87 = -0*b + 5*b - 6*g for b. -3 Solve 14*j - 55 = 16*j - 7*b, -4*j - 3*b - 25 = 0 for j. -10 Solve -4*d - 381*q - 15 = -376*q, 0 = d + 2*q + 9 for d. 5 Solve 0 = 5*j - 10*j + 3*n - 15, -15*j - 45 = -2*n for j. -3 Solve 3*k = -4*f + 44, -5*f + 50 = 983*k - 978*k for f. 14 Solve -z - 38 = -14*d, 11*z + 15 = d + 14*z for d. 3 Solve -2*s = 3*g + 9, -30*g + 31*g + 20 = 5*s for s. 3 Solve 8*o = -11*o + 19, 2*o = 2*i + 3*o - 11 for i. 5 Solve 4*a + 8 = 2*b, -78*b - 20 = -83*b - a for b. 4 Solve 0 = 96*x - 101*x - 5*g - 10, -6 = 5*x + 4*g for x. 2 Solve 9*a = -3*u + 12 - 0, -a = u - 2 for u. 1 Solve 337 - 342 = 5*k - 5*q, 4*k + 3*q - 3 = 0 for k. 0 Solve -f - 1 = 3945*q - 3947*q, 3*f - 15 = -3*q for q. 2 Solve -4*u - 82 = -34*f, 21*u - 17*u = -3*f + 29 for u. 5 Solve 10914 = -2*x + 10904, -7*i - 8 = -4*x for i. -4 Solve -628*l + 4*t + 75 = -623*l, 0 = 8*l + 3*t - 73 for l. 11 Solve -4*g - 5*q + 31 = 0, -35 = -2*q - 29 for g. 4 Solve 0 = -4*f - 5*b + 43, -2*f = 3*b - 295 + 272 for f. 7 Solve -3*l - 24 = 0, -86*o = -83*o + 5*l + 52 for o. -4 Solve -5*i = -5*m - 15, -2*m - 15 = -680*i + 675*i for m. 0 Solve -3*g - 735*o - 42 = -738*o, 0 = 5*g - o + 70 for g. -14 Solve -3*j + 160 - 83 = 4*q, 0 = 15*q + 5*j - 270 for q. 17 Solve -4*x = 4*q - 12, 4*q = 157*x - 158*x for q. -1 Solve 29*k + 58*j = 26*k + 1551, 2*j - 29 = -5*k for k. -5 Solve -3*z + 2*n + 9 = 0, -174*z + 178*z = 4*n + 8 for z. 5 Solve -107*s + 6 = -104*s - 3*j, 10 = 3*s - 4*j for s. -2 Solve -5*c = 4*u + 265 - 293, 5*c = -2*u + 24 for c. 4 Solve 3*f = 4*u - 3, 2*f + 3 = 8 - 7 for u. 0 Solve 0 = -6*n - 10*w - 74, -2*n + 5 = -5*w - 2 - 10 for n. -4 Solve -4*l - 2*a + 30 = 0, -83*l = -85*l + 4*a for l. 6 Solve -5*s - 24 = -3*j, s + 81*j = 82*j - 6 for s. -3 Solve -3*z + 147*d - 144*d - 10 = -2*z, 5*d = 0 for z. -10 Solve 25*u - 23 = 5*q + 22*u, -3*u + 3 = 0 for q. -4 Solve 7*c + 12*d + 46 = 2*c, -4*d = -c + 10 for c. -2 Solve -2*r + 76 = 14*g, 952*r = 5*g + 954*r - 31 for g. 5 Solve p = o - 11, -28*o + 25*o = 7*p - 63 for o. 14 Solve -2*u + 5*h - 19 = 0, -13 = 8*u - 10*u + 3*h - 26 for u. -2 Solve 102 = 28*u + 5*c, -4*u - 68 = c - 82 for u. 4 Solve -a - 3*a = 6*f, 4*f - 5*a + 13*a = 4*f + 3*a for f. 0 Solve 4*m - 2*i = 16, 3*m + 3*i + 413 = 443 for m. 6 Solve 7*n - 2*b + 35 = 28, 5*n + 5 = -b for n. -1 Solve -2*n + 34 = 4*i, n + 77 - 78 = 0 for i. 8 Solve -l = -5*o + 10, -6*o + 4477 = -2*l + 4465 for o. 2 Solve -4*t = -2*g + 2, 4 = -3*t - 5*g + 6*g for t. -3 Solve g + 4 = 2*a, 0 = -4*g + 3*a - a - 4 for g. 0 Solve 3*o - 5*l - 15 = 0, -2*o + 272*l = 275*l - 10 for o. 5 Solve -s = -5*w + 153 - 122, 0 = -2*w - 5*s + 34 for w. 7 Solve 0 = -3*s + 5*t + 11, -5*s + 388 = t + 407 for s. -3 Solve -f + 1 = 0, -161*a + 5*f = -163*a + 15 for a. 5 Solve 56*x = 51*x + 8*f - 4, -5*x - 12 = -4*f for x. -4 Solve l - 5*u - 24 = 0, 30*l - u + 21 = 4*l for l. -1 Solve -30 = 4*t + 3*j, 147 = -3*t - 6*j + 117 for t. -6 Solve -13 = -3*x + 784*p - 780*p, 0 = 4*x - 3*p - 29 for x. 11 Solve -4 = 4*x - 5*d, 2*x + 23 - 7 = -d for x. -6 Solve 4*o = 3*i + 9, 1059 - 1074 = -4*o + 5*i for o. 0 Solve v - 6*b = -5*b + 4, -14*v = 4*b + 34 for v. -1 Solve -3*m - 12 = 3*i, 59*i - 14 = 3*m + 63*i for m. -2 Solve -3*o - 4*f + 3 + 0 = 12, 4*f = 0 for o. -3 Solve 2*i - 12 = 2*r + 30, 14*r = -4*i + 12 for r. -4 Solve 2*n - 2*a = 0, a = -34 + 36 for n. 2 Solve -64 = -3*h - 73, 7*m + h = 46 for m. 7 Solve 5*h + 3*m - 10 = 0, -2*h - 56*m + 33 = -49*m for h. -1 Solve 24*f - 17 = 4*w + 25*f, -4*f - 8 = 4*w for w. -5 Solve 2 - 6 - 2 = -2*u, -3*b = -6*u + 5*u for b. 1 Solve -q + 13472 - 13462 = v, v - 87 = -12*q for q. 7 Solve 5*a - 5*n = -2*n + 37, 6*n = -5*a + 1 for a. 5 Solve -495*i - 10 = -497*i +
{ "pile_set_name": "DM Mathematics" }
+ 1)) + -356 + 171 + 204? 35 What is -68 - 1 - (-16 - (-8 - (-9 + 3)))? -55 3 + -4 + (-4 - (34 + -24)) -15 What is the value of (-60 - 2) + 14 + 79 + -113? -82 1060 + -1009 - (2 + 27) - 29 -7 What is the value of 10 - (32 + -19 - 12) - (49 - 2)? -38 What is the value of 3 - 45 - ((-26 - -7) + 18)? -41 (106 - 134) + -2 + -6 + 24 -12 Calculate 2 + (11 - 12) - -37 - (-11 - -20). 29 What is (-11 - -10) + (-26 - -62) + 22? 57 What is the value of 117 + 1 + 226 + -302? 42 Calculate -1 + -12 - (-84 - 4 - (233 + -259)). 49 What is the value of (-38 - -1 - (923 + -955)) + (-41 - 1)? -47 What is -16 - ((9 - (-10 + 0 + 9 + 0)) + -8)? -18 Evaluate 62 - (-31 - -78) - (-4 - -31). -12 What is 4 - -18 - (-478 + 450) - -11? 61 What is the value of -29 + -8 + 2 + 5 - (150 + -141)? -39 What is the value of 6 + (-3 - 12) + (-19 + -1 - -54)? 25 -16 + (-13 - (15 - 28)) + 59 43 Calculate 55 + 25 + -72 + 15. 23 1 - 17 - (-423 - -471) - (-7 - (3 - 7)) -61 What is the value of -1 - -18 - (-46 - (118 - 211))? -30 Evaluate (-2 - (77 + -175)) + -19. 77 What is 21 + -114 + 71 + -60? -82 What is the value of 34 + (65 - 34) + -35 - (-3 + 20)? 13 What is 9 - (-1 + -4) - (-11 + 18) - (-3 - 2)? 12 What is -60 + -31 + 106 + -50? -35 Evaluate 76 + 104 + -105 - 59. 16 Calculate -185 - (142 + -153 + -44). -130 Evaluate (-3 - 9 - -11 - -9 - (2 - 57)) + 4. 67 (-4 - (2 - -3)) + (114 - 181) -76 What is -24 + (0 - (-2 - 0)) - 26? -48 What is the value of -79 + ((-21 - 1) + (550 - 530) - 5)? -86 Evaluate 0 - -26 - (29 - 15) - -19. 31 Evaluate 88 + (1 - 1 - -28) - (-25 - -1). 140 What is -11 + (-14 + 6 - -29) + 22? 32 Evaluate (-30 - -33) + (-1 - 1 - 4). -3 37 - ((69 + -43 - (8 - -13)) + (-10 - 1)) 43 What is the value of -1 - 3 - (-6 - 60 - (-130 + 96))? 28 What is 4 - (6 + -3 - (-13 + (9 - 16) + 25))? 6 What is the value of (36 - (41 - 4)) + (0 - (0 - 19)) - 7? 11 What is (182 - 85) + (8 - 183)? -78 Evaluate 34 + -13 - -9 - 26. 4 What is (35 - (-31 - (-208 + 36))) + 26? -80 -15 - (28 + (-111 - -60)) 8 Evaluate -49 + 56 + -58 - -33. -18 What is the value of -18 + 16 + -30 + -3 + (-4 - -4)? -35 Evaluate 17 + (-29 - 19) - (-228 + 252). -55 Calculate 68 - (5 + -6 + -49 + 51). 67 -486 + 446 - (-24 - -52) -68 What is (-14 - (-17 + -16)) + -34 - -12 - 9? -12 What is 1299 - 1285 - (4 + (-3 - 10 - 2))? 25 What is the value of -16 + 3 - (-12 + 2 + -4 + 15 + -93)? 79 What is the value of (-79 - 0) + 8625 + -8636? -90 Evaluate 29 - (70 - (39 + -21)). -23 What is the value of -21 + (43 + -145 - -82)? -41 -35 - ((29 - -13) + -38) -39 What is -2 + (34 - -3 - -3) + 55 + (-96 - -37)? 34 Evaluate -55 + -4 - (0 - -4 - (-30 + (-22 - -55))). -60 What is (-1 - 0) + (-112 - -57) + -6 + 14 + -3? -51 Evaluate 8 + (-2 - (-7 - (32 + -30))) + (58 - -1). 74 -50 + (-25 - -17) + (-10 - -6) + -4 -66 Calculate -10 - ((-11 + -5 + 3 + 3 - -21) + 45). -66 Evaluate (-6 + (-45 - -24) - -92) + (-14 - (0 + -2)). 53 Evaluate (284 - (394 + -136)) + (18 - (1 + -1)). 44 Evaluate (70 + (0 - -7) - 27) + -13. 37 What is -63 + 44 + 35 + 36? 52 What is -55 + (46 - (30 + -6)) - -115? 82 What is the value of -12 + 47 - (-6 + 33)? 8 50 + -10 + 14 + -6 + 27 + (28 - 63) 40 Calculate -17 + (-15 - ((14 - 37) + 17)). -26 Calculate (-31 + 84 - 42) + -36 + 0. -25 Calculate (155 - 1) + (-10105 - -9980). 29 What is the value of (163 - 198) + 77 + (-42 - 0)? 0 Evaluate (-7 - (-7 + 37)) + (-77 - -18). -96 What is the value of 0 + (-58 - 0 - ((52 - 45) + -8))? -57 What is the value of 89 + -31 + -30 - 113 - (2 + -3 + 11)? -95 Evaluate -4 - (11 + (-16 - -7) + 3 + -38 + 1). 28 What is the value of -19 + -4 + -269 + 364? 72 Calculate 2 + 9 - (-107 - -34 - -58). 26 Calculate 20 + -2 + (54 - -110) + -215. -33 What is -4 - (-266 - -273 - (-1 + 16))? 4 What is the value of -16 + 22 - (1 - -4) - (-11 - (9 + -8))? 13 What is the value of 14 - -1 - (3 + 71 + -39)? -20 Evaluate -5 + (43 - (-14 - (-5 + 2) - -3)). 46 What is -10 + 18 - (7 - (8 - -3 - (-18 - -22)))? 8 -129 + 179 - (19 - 13) 44 Evaluate 3 + 75 + -87 + 57. 48 What is 40 - (-4 + 97) - -22? -31 What is the value of 13 + -71 + (-6 - (-1 - 10)) + (1 - -4)? -48 What is 12 + -29 + 30 - (-3 - -3 - -39)? -26 What is the value of -26 - ((-43 - -69) + -28 + 37)? -61 Evaluate (10 - -17) + 9 + (20 - 18). 38 Evaluate 79 - (117 + 0 - 151). 113 Evaluate 8 + -107 - (-68 + 59 + 1 + 8 - -3). -102 Calculate -123 + (69 - -10) + 78. 34 What is the value of -3 + -2 + -2 + 65 - (-85 + 98)? 45 What is -42 + -33 + -10 + (26 - 1)? -60 What is the value of -1 - (12 + -5 - 26 - 10)? 28 104 + -63 + -60 + -2 + 1 -20 Evaluate -65 + 41 - (2 - 0 - 0 - (72 - 85)). -39 What is the value of 82393 + -82312 + (0 - 0 - 21)? 60 95 + (-57 - -70 - (-1 + 10)) 99 90 - 223 - -131 - (64 + 1) -67 Calculate (-2 - (0 + 7 + -44)) + 18. 53 What is 13 + -4 + (92 - 114) + 25? 12 Calculate 19 + 0 + (72 - 151). -60 What is the value of -38 + (76 + 2 - 15)? 25 Evaluate 64 - 96 - (-1 + 1) - (4 + -4). -32 Calculate -69 + (-58 - (-26 + 24 + -33)). -92 Evaluate (45 - 33) + (-50 - -25) + -5 + -1. -19 Evaluate -6 - (-21 - (15 - ((5 - -6) + -6))) - 9. 16 1 + (5 - (-4 + 4)) - (-20 - (25 + -60)) -9 Calculate -16 - (29 + -6 + -2 + 5 + 1). -43 Calculate (278 + -168 - (-5 - 36)) + -39. 112 What is (1056 - 1036) + -57 + -2? -39 What is (-5 - 7) + (184 - 72 - (9 + (4 - 20)))? 107 Evaluate (19 - -9) + -49 + 14 + (-1 - -2 - -58). 52 Calculate -85 + -53 + 42 + 11. -85 Evaluate -60 + (21 - (48 - 50)). -37 Calculate -24 + (0 - (13 - 24)) - (87 - -7). -107 Evaluate 1 - -2 - ((2 - (5 + -9)) + -5). 2 Calculate 13 + (-52 - (-19 - 12)) + 28. 20 What is the value of 24 + (-16 - (-16 + 20)) + 13? 17 Evaluate (-117 - -116 - (-26 - (3 - 1))) + 6 + 5. 38 Evaluate (0 - -75) + 1 + 80 + -101. 55 What is (187 - 191) + (-6 + (15 - 8) - -54)? 51 What is (35 - -11) + (-5 - -1 - (-38 - -43))? 37 What is -20 + 0 - (-49 - -9) - -52? 72 What is (-18 - (-59 + 51)) + (0 + 1 - -11)? 2 Calculate -230 + 129 + (2 + 3 - 1). -97 Evaluate -6 + 6 - 11 - (-2 + 93 + -63). -39 What is -108 + (-71 - -212) - -27? 60 What is the value of 17 - ((-497 - -509) + (21 - (2 + 0)))? -14 Calculate -19 - (-122 + (-16 - (-9 - -4)) + 21). 93 1 + 75 - (-14 + -86 + 102) 74 What is -12 - 1 - ((-46 - 10) + -4 + -16)? 63 10 - (53 + (-4 + -13 - 9)) -17 What is the value of -135 - ((70 - 54) + -73)? -78 -22 + 135 + 0 + -73 40 What is 1 + -1 - 6 - ((12 - 16) + -31 - 25)? 54 What is 77 + -7 + 18 + (-7 - -8) + (16 - 4)? 101 What is the value of 20 - (21 + -1 - (-23 + 68 + -32))? 13 What is -1 + 13 + 38 + 32 + (-105 - -25)? 2 Evaluate (-7 - 2 - -1) + 140 + -141 - (-5 + 1). -5 Evaluate -24 - -32 - (-2 + 10) - -6 - -19. 25 What is -54 + 56 + 45 + -12? 35 Calculate -6 + -29 - (53 + (-11 - 74)). -3 Evaluate 9 + (-18 - -12) - (6 + 34 + -3). -34 Evaluate -11 - -6 - 14 - (-185 + 219). -53 What is (-3 - (-4 + -39)) + 0 + -8 + 16 + -1? 47 Evaluate (-2 - -17) + (-61 + -72 - -144). 26 What is (-10 - (5 - 19) - -3) + 34 + -131? -90 What is 37 + -58 + 6 - (12 + 7 + -2)? -32 What is the value of (-14 - (8 - 19)) + (0 - (8 - -30))? -41 What is -30 + (-6 - 1 - (-61 - -83))? -59 Evaluate -647 - -636 - (28 + 2). -41 Calculate -10 + (2 - 13) - 11. -32 Evaluate ((31 - 1) + (28 - 27) - -5) + (-9 - 0). 27 -167 + -139 + 15 + 272 -19 What is 62 - 60 - (-9 + 16 + -3 + -26)? 24 67 - 2 - (-1281 - -1408) -62 What is 27 + (-51 - (6 - 39))? 9 Calculate 10 + -2 + 12 + 21 + -96. -55 What is the value of -3 - (61 + 6 + -13 + 1 + (3 - 1))? -60 What is the value of 22 + 1 - (101 + (-47 - 34))? 3 (5 - 1) + (-7 - -13) + 34 44 33 - (-41 - -40 - -38) -4 Calculate 18 + 20 + -16 + 15 + 5. 42 What is 1 + -3 - (-16 - (-9 - 2)) - (109 + -22)? -84 Evaluate -39 + (8 - -18) + 14 + -30. -29 What is the value of -2 - (-34 + 72 + 14)? -54 (-9 + 8 - (-4 + 9)) + (-10 - -1) -15 What is the value of 203 - 178 - (-10 - (1 + -2))? 34 Evaluate -4 + (0 + -50 + 5 - -1). -48 Calculate (8 - -1) + 7 + (-16 - (-4 + 25)) + 16. -5 What is the value of (-51 - (14 - -4 - 26)) + -17? -60 Calculate -5 + 2 + (16 - 10). 3 -34 + -30 + 8 + 52 - (16 - (-1 - 1)) -22 What is -23 + 5 - (15 + -5 + 9 + -4)? -33 Calculate 79 - 166 - (-9 + -21 - -3). -60 (15 + -38 - -10) + 7 + -6 + 19 7 Evaluate -26 - (122 + -91 - -22). -79 Evaluate 11 - (-22 - -94 - 39). -22 Evaluate -14 - (-29 - (-21 + 7 + 2 + 2)). 5 E
{ "pile_set_name": "DM Mathematics" }
Let z = 0.6 + -0.5. Let m = 13199/228 - 8/57. Let r = -58 + m. What is the third biggest value in r, z, 1? r Let q = 12 + -7. Which is the smallest value? (a) q (b) 2 (c) 1/6 c Let b = -0.529 - -0.029. What is the second smallest value in -2, b, 0.3, 0.1? b Let p = 0.02 + -4.02. Let h = -6 - p. Let r = -4 - h. Which is the third smallest value? (a) r (b) 3/4 (c) -4 b Suppose -10 = -174*d + 179*d. Let a = -0.1 - -0.1. What is the second smallest value in -1, a, d? -1 Let q = -25/3 - -9. Let i(n) = -2*n - 1. Let v be i(-6). Let u = v - 7. Which is the smallest value? (a) 0.5 (b) q (c) u a Let k = -28 - -33. Which is the smallest value? (a) -5 (b) 6/7 (c) k (d) -3 a Let m be (-4)/53 - (-1 - -1). Let l = m - 86/265. Let g = 0.3 + 0.2. Which is the smallest value? (a) g (b) l (c) -2 c Let g = 1.8 - 1. Let l = -0.7 + g. What is the third smallest value in l, -0.5, 0.4? 0.4 Let u = -1 - -2. Let j = 8 + -13. Let k be (j + 2)*1/3. What is the biggest value in u, k, -0.3? u Let n be (28/(-35))/(-2 + 148/(-5)). What is the biggest value in 2/3, 0.3, n? 2/3 Suppose l = -0*i - 5*i + 15, 2*l + i + 6 = 0. Which is the second smallest value? (a) l (b) 0.1 (c) 0.4 b Let b = 3/10 + -7/30. What is the second biggest value in b, 3, -1/7? b Let c = -2.3 - -1.9. Let a = -2 - -2.1. What is the biggest value in a, 0.2, c? 0.2 Let y = 20 + -17. What is the third smallest value in -2/5, y, 0.1? y Let u = -3/68 + 157/476. Let v = 0.6 - 0.53. Let y = v + -5.07. Which is the second smallest value? (a) u (b) y (c) 3 a Let v be (-1 - -2)/(4 - 5). Let j be v/(2 - (-7)/(-3)). Let t be (j/14)/(12/16). What is the third biggest value in -1, t, 1/3? -1 Suppose -2*x - x + 21 = -3*z, 0 = 3*x - 6. Which is the biggest value? (a) 0 (b) z (c) 5 c Suppose -3*n = 6*n - 45. What is the second smallest value in 1, n, 0.1? 1 Let y = 0.9 - -0.1. Let m = 0.27 - 0.07. Which is the second smallest value? (a) 0 (b) y (c) m c Let g = 7 - 5. Let d = 8 - 8.4. What is the smallest value in d, g, -0.1? d Let s = -3.58 - 0.42. Let j = -15 + 29. Suppose -4*m + 2*m = 2*w - j, -m + 4*w = 3. What is the third biggest value in -2/17, m, s? s Let l(n) = n**3 + 10*n**2 - 11*n - 2. Let a be l(-11). Let o = -5 + 5.4. What is the biggest value in 0.2, o, a? o Let s = 0.02 - -2.98. Let m = -8 + s. What is the smallest value in 3, 2, m? m Let m = 0.06 - 0.46. Let i = -0.9 + 1.3. Which is the smallest value? (a) 0.3 (b) i (c) m c Let k = 0.062 + 4.938. Which is the second smallest value? (a) 0.3 (b) k (c) 0.5 (d) 3 c Suppose 3*k + 21 = -5*x, -3 = 3*x + 3*k - 6*k. Let j be (-4)/x*(-2)/(-4). Which is the second smallest value? (a) -1/8 (b) j (c) -3/5 a Let j = -0.1 - 3.5. Let k = -0.6 - j. Which is the second biggest value? (a) 5 (b) 0 (c) k c Let y be -2 + (-3866)/(-24)*1. Suppose 272 + 355 = -4*h - 3*g, -3*h = -4*g + 489. Let v = h + y. Which is the biggest value? (a) 0 (b) 2 (c) v b Let u = 1 + -1. Let v = -25.2 + 24.5. What is the biggest value in u, -4, v? u Let v(a) = a - 1. Suppose 3*t = -t + 8. Let q be v(t). Suppose -2*f - 1 = q. What is the third smallest value in -2/5, 1/6, f? 1/6 Let c be 4 - 75/27 - 1. Let j = -0.37 - -0.07. What is the third smallest value in j, c, -0.2? c Let f = 4868/11 - 442. Which is the third biggest value? (a) 5 (b) f (c) -2 (d) 2 b Let t = 0.12 - 0.02. Suppose 3*m = -6 - 9. Which is the third biggest value? (a) m (b) 1/3 (c) t a Let x = -109 - -982/9. Let f = 88094/12183 + -224/31. Let n = f - 824/7467. Which is the second smallest value? (a) n (b) x (c) -3 a Let s = -40.8 - -41. Which is the biggest value? (a) 0.5 (b) s (c) -3 a Let f = -1 + -1.9. Let h = f + 2.9. Let t be 14/(-12)*-1 + -1. Which is the third biggest value? (a) h (b) 4 (c) t a Let l = 49 - 44. Which is the biggest value? (a) -3/8 (b) 2 (c) l c Let h = 347/6 + -58. Which is the third biggest value? (a) 5 (b) h (c) 3/2 b Let a = 21/16 - 347/240. What is the second biggest value in a, 3, -0.06? -0.06 Let l = -26 + 27.53. Let v = l - 1.9. Let u = 0.07 + v. Which is the second smallest value? (a) -2/13 (b) u (c) 0.2 a Let v be 2*-2 + -9 + 8. What is the smallest value in -1, 3, v? v Let w = -29 - -51. Let n = -32 + w. Let l = 5 + n. Which is the biggest value? (a) 1 (b) l (c) 0.4 a Let o = -29.2 - -29. What is the third smallest value in o, 1/4, -1? 1/4 Suppose 3*f = 6 + 6. What is the second biggest value in 2, f, 5? f Let l be 0 - 0 - 12/(-54). Let d = 11 - 7. Let i = 0.2 - 0.2. Which is the biggest value? (a) d (b) i (c) l a Let k be -83 + 0 + (2 - 1). Let f = -573/7 - k. Let o be (3 + -4 + -4)/1. Which is the third smallest value? (a) -0.4 (b) o (c) f c Let m = 5.833 - 0.963. Let z = m + 0.13. What is the third biggest value in z, 1, -1/2? -1/2 Let i = -0.07 - -0.08. Let p = -2.99 - i. What is the third biggest value in 3, -0.4, p? p Suppose 2*o + 71 = 69. What is the third smallest value in 1, o, -1/6, 6/11? 6/11 Let g = -25 + 74/3. Which is the third smallest value? (a) g (b) -0.01 (c) -0.4 b Let c = 236/209 - 18/19. What is the third biggest value in c, 1, 2/13? 2/13 Let q = 1.2 + -1. What is the fourth biggest value in -2/5, 5, -5, q? -5 Let l = -12 - -11. Which is the second smallest value? (a) -2/11 (b) l (c) -0.12 a Let u = -19.3 - -13.2. Let m = 6 + u. Which is the second biggest value? (a) -0.2 (b) 0 (c) m c Let f = -49/10 - -22/5. Which is the third smallest value? (a) -0.2 (b) -14 (c) -2 (d) f d Let w = -59 + 294/5. Which is the fourth biggest value? (a) -0.4 (b) 2 (c) 0.4 (d) w a Let o be 3*(1 - (-8)/(-3)). Let i = 8 - 5. What is the third smallest value in o, i, -2? i Let s = 24.16 + -24. Let r = 0.14 - 0.1. Let y = s + r. Which is the third smallest value? (a) y (b) 3 (c) -1/10 b Suppose 0 = -9*c + 10*c. What is the smallest value in -9, c, 5, 2/9? -9 Let f = -0.9 - -0.8. Let r = -0.6 - f. Suppose 5*q = 5*u + 5, -2*u = 3*q - 0*u + 22. What is the biggest value in q, 4, r? 4 Let m = 5.88 + -6. Let l = -5.12 - m. Let t = 1 - 1.1. Which is the second smallest value? (a) -4 (b) t (c) l a Let n = 0.04 + -5.04. Let p = 5.2 + n. Which is the second smallest value? (a) -0.1 (b) -3 (c) p a Let r = -7.9 - -7. Let z = r + 0.5. Which is the third biggest value? (a) -2 (b) z (c) -1/4 a Let u = 6 + -5.7. Let j = 0.12 + -0.02. What is the third smallest value in j, 4, u? 4 Let d = -0.19 - -11.19. Let p = d + -6. Let t = 0.1 - 0.1. What is the biggest value in 3, p, t? p Let t = -12/11 + 107/88. What is the third biggest value in 10, t, -0.3? -0.3 Let w = 22 + -23.1. Let o = 1.3 + w. What is the second biggest value in 1, o, -4? o Let l = 14676/13 + -1128. Let g be (-102)/195 + 1 + -1. Let v = g + l. Which is the second smallest value? (a) -5 (b) -1/9 (c) v b Let k be 4/(-8) + 1/6. Let f = 2 + -1.9. Which is the third smallest value? (a) k (b) 0 (c) f c Let k = 13 + -5. Let w be k/(-18)*9/(-6). Suppose -7 = -t - 2*t - 2*x, -4 = 4*x. What is the third biggest value in -0.1, t, w? -0.1 Let l = -28 - -28.1. What is the second smallest value in -6, 4, l? l Let m(p) = -4 - 12*p + 9*p + 33*p. Let o be m(-3). Let q = 468/5 + o. Which is the smallest value? (a) 0.4 (b) 3 (c) q c Let h = 13/27 - 233/540. Let i = h - -37/60. What is the biggest value in i, -4, 1/2? i Let v(y) = -y**3 + 9*y**2 + 2*y - 13. Let n be v(9). Let u = 4 - 6. Which is the third biggest value? (a) n (b) -1/5 (c) u c Let t = -6 + 16. Let r = t - 10.2. Which is the third biggest value? (a) -0.1 (b) r (c) 0.1 b Let p = -0.06 + 0.46. Let v = p + 3.1. Let u = 3 - v. What is the third smallest value in -3, u, -1? u Let y be (1/3)/(2/4). Let r = -38.5 - -40.5. What is the second smallest value in y, -0.2, r? y Let u be 4/(-6) - (-11)/21. Let v be (-9)/(-189) + 2/(-6). Which is the second biggest value? (a) u (b) v (c) -4 b Let s = -0.26 - -0.46. Which is the third smallest value? (a) s (b) -2/7 (c) 0.5 c Let o = 2 - -3. Let l(w) = w + 1. Let k be l(-7). Let p be k/4*3/(-9). Which is the biggest value? (a) p (b) o (c) 0 b Let z = 2.2 + -2. Which is the biggest value? (a) 0 (b) 2 (c) z (d) 5 d Let m(q) = -3*q - 2. Let h be m(-2). Let k(i) = -i**2 + 2. Let v be k(-2). What is the smallest value in 2, v, h? v Let c be 2/
{ "pile_set_name": "DM Mathematics" }
enominator of 11/4 and -5/48? 48 Calculate the lowest common multiple of 8246 and 5890. 41230 Calculate the common denominator of 33/7972 and -33/15944. 15944 What is the lowest common multiple of 25875 and 36225? 181125 What is the common denominator of -103/150 and 87/1192400? 3577200 What is the smallest common multiple of 150 and 210? 1050 What is the common denominator of 19/152934 and 10/21? 1070538 What is the common denominator of -73/546192 and -39/176? 6008112 What is the common denominator of -18/4895 and -37/63635? 63635 What is the lowest common multiple of 56 and 6312? 44184 Calculate the common denominator of -7/22 and 139/16381584. 180197424 What is the least common multiple of 19296 and 4288? 38592 What is the smallest common multiple of 2076 and 5? 10380 What is the common denominator of -53/2838 and 109/2838? 2838 What is the least common multiple of 466 and 385? 179410 Calculate the common denominator of 43/214800 and -69/40. 214800 Calculate the common denominator of -27/124135 and -34/259555. 2855105 Calculate the common denominator of 29/59250 and 91/3000. 237000 Calculate the lowest common multiple of 169448 and 232. 4913992 Calculate the least common multiple of 3492 and 291. 3492 Calculate the common denominator of -63/88 and -51/4168. 45848 Calculate the common denominator of -23/60586 and 51/2484026. 2484026 Calculate the least common multiple of 876 and 22. 9636 Calculate the common denominator of -3/3055 and -109/1378. 323830 Calculate the lowest common multiple of 14792 and 13158. 2263176 What is the smallest common multiple of 12 and 21624? 21624 Calculate the common denominator of -62/63 and -137/6846. 20538 What is the common denominator of -127/6700 and 21/550? 73700 Calculate the common denominator of -67/19960 and 115/5988. 59880 Calculate the common denominator of -30/491101 and -11/37. 491101 What is the common denominator of -37/252180 and -143/6? 252180 Calculate the smallest common multiple of 752 and 282. 2256 Calculate the least common multiple of 16 and 104862. 838896 Calculate the least common multiple of 2020 and 97. 195940 Find the common denominator of 64/55 and -69/10. 110 What is the lowest common multiple of 200298 and 2008? 801192 What is the least common multiple of 1690448 and 48? 5071344 Calculate the smallest common multiple of 25116 and 2548. 175812 Calculate the common denominator of 93/1100050 and 113/352016. 8800400 What is the common denominator of 169/9090 and -79/109686? 1645290 What is the common denominator of 37/32395 and 32/3971? 615505 Calculate the least common multiple of 72 and 56654. 2039544 Calculate the least common multiple of 38830 and 20. 77660 What is the common denominator of -61/822 and -11/2612? 1073532 What is the common denominator of 58/51 and -67/39759? 675903 Find the common denominator of -43/54 and -197/2936700. 8810100 Calculate the common denominator of -67/70 and 37/518420. 518420 What is the common denominator of 53/139548 and -13/36? 418644 Find the common denominator of 62/38763 and 71/43070. 387630 Calculate the common denominator of 85/2144 and 149/12864. 12864 Calculate the least common multiple of 884 and 1106. 488852 Find the common denominator of -39/16288 and -47/112. 114016 What is the common denominator of 61/169962 and 67/6? 169962 Calculate the common denominator of -101/3076 and 137/13842. 27684 What is the smallest common multiple of 835 and 14525? 2425675 Calculate the least common multiple of 18 and 4671. 9342 Calculate the lowest common multiple of 1940 and 970. 1940 What is the lowest common multiple of 2718 and 14? 19026 Calculate the common denominator of -40/99831 and -4/27. 898479 Calculate the smallest common multiple of 759 and 31119. 31119 Calculate the smallest common multiple of 5336 and 4. 5336 Calculate the common denominator of -53/1464 and -65/64. 11712 What is the common denominator of 61/48 and 67/29168? 87504 Find the common denominator of 155/16002 and -169/180. 160020 Calculate the common denominator of 89/10635 and -35/9. 31905 What is the lowest common multiple of 40968 and 40968? 40968 Find the common denominator of -61/137214 and -10/363. 137214 What is the common denominator of 9/38225 and 2/495? 344025 What is the common denominator of -11/1741492 and -13/40? 17414920 Calculate the smallest common multiple of 2108 and 36. 18972 What is the smallest common multiple of 247212 and 864? 1977696 What is the smallest common multiple of 8 and 6743? 53944 What is the least common multiple of 4095 and 3393? 118755 What is the common denominator of -125/18 and 75/13684? 123156 Find the common denominator of 97/20 and 61/16396. 81980 Calculate the least common multiple of 541375 and 62125. 3789625 What is the lowest common multiple of 9 and 8859? 26577 Calculate the common denominator of -77/6 and 31/27046. 81138 What is the lowest common multiple of 183304 and 242? 2016344 Calculate the least common multiple of 4935 and 196413. 982065 What is the common denominator of -57/2450 and 111/76090? 2663150 Calculate the least common multiple of 63 and 16373. 147357 Find the common denominator of 151/6600 and -28/17831. 10698600 Find the common denominator of 46/9 and 10/117579. 352737 Calculate the least common multiple of 99 and 30427. 3012273 Calculate the common denominator of 71/93806 and -63/5518. 93806 What is the lowest common multiple of 277139 and 1486? 554278 What is the common denominator of 107/11142 and 9/21046? 189414 Find the common denominator of 37/7509 and -65/40048. 120144 What is the common denominator of 137/585924 and 13/4976? 2343696 Calculate the common denominator of 77/72 and -35/218976. 656928 Find the common denominator of 151/4188 and -59/8376. 8376 Calculate the least common multiple of 615 and 513. 105165 Calculate the common denominator of -39/141326 and 101/20. 1413260 Find the common denominator of 107/1236550 and 127/630. 11128950 Find the common denominator of -123/7580 and 7/120. 45480 Find the common denominator of -13/72 and 131/1152. 1152 What is the smallest common multiple of 641698 and 568? 2566792 Calculate the common denominator of -11/718 and 107/40926. 40926 What is the lowest common multiple of 41037 and 12? 164148 Calculate the common denominator of 79/2301 and 49/48. 36816 Find the common denominator of -93/210700 and -153/3850. 2317700 Calculate the least common multiple of 160 and 470416. 4704160 What is the smallest common multiple of 121070 and 121070? 121070 Calculate the common denominator of -31/58197 and 13/114. 116394 Find the common denominator of 47/2 and -39/348284. 348284 Find the common denominator of 23/6156 and 127/23256. 209304 Calculate the smallest common multiple of 88946 and 23947. 622622 What is the smallest common multiple of 10864 and 336? 32592 Calculate the common denominator of 19/56484 and 145/790776. 790776 Find the common denominator of 28/427823 and -61/272251. 2994761 What is the common denominator of -32/11571 and -116/145635? 4223415 Calculate the smallest common multiple of 2 and 603549. 1207098 Calculate the smallest common multiple of 42 and 45759. 91518 What is the common denominator of 109/60 and 83/32330? 193980 What is the least common multiple of 39182 and 264? 470184 Calculate the least common multiple of 643752 and 144. 1287504 Calculate the common denominator of -38/4233 and -19/267. 376737 Find the common denominator of 119/19344 and -40/5863. 8724144 Find the common denominator of -123/1078 and 16/9499. 1462846 What is the lowest common multiple of 515 and 26? 13390 What is the common denominator of -35/6768 and 29/6? 6768 What is the common denominator of 1/18 and -13/363278? 3269502 Find the common denominator of -29/24516 and 13/1296. 294192 Calculate the least common multiple of 98 and 543. 53214 What is the least common multiple of 3 and 1887? 1887 What is the least common multiple of 18200 and 2912? 72800 What is the lowest common multiple of 37760 and 16992? 339840 Calculate the smallest common multiple of 20800 and 1248. 62400 What is the smallest common multiple of 234447 and 42? 3282258 Calculate the lowest common multiple of 27 and 13392. 13392 Calculate the common denominator of -95/3784 and -149/2064. 22704 Find t
{ "pile_set_name": "DM Mathematics" }
d (-5*y + 2 - 16 + 13 - 11*y**2)*(-3*y + 2*y - y). 22*y**3 + 10*y**2 + 2*y Expand (-3*w - w + 5*w)*(2 - 1 + 1) + (w + 2*w - 2*w)*(1 + 2 - 2) + 4*w - 4*w - 2*w + 2*w - 5*w + 2*w + 7*w - 3*w + 0*w + (-3*w + 4*w - 3*w)*(7 - 1 - 1). -6*w Expand -n**5 - 2*n**5 + n**5 + (16*n**2 - 3*n**4 - 16*n**2)*(7*n - 14*n - 4*n). 31*n**5 Expand (-4 + 0 + 3)*(24 - 34 + 52)*(0 - 3 + 1)*(0 + 0 + 2*j). 168*j Expand (-4*y + y - y)*(3 + 0 - 2)*(-26 + 26 - 8*y). 32*y**2 Expand (0 - 1 + 3)*(-138*i**3 - 1920*i**2 + 1920*i**2). -276*i**3 Expand (-3*l - l**4 + 3*l)*(0*l + 0*l - 3*l) - 2*l**5 + 5*l**5 - 2*l**5 + (-l**3 + 6*l**3 - 3*l**3)*(-2*l**2 + 1 - 1) + 2*l**5 - 5*l**5 + l**5. -2*l**5 Expand (258*t - 190*t + 287*t + 828*t)*(-t**2 + 0*t + 0*t). -1183*t**3 Expand (-f**3 + 5*f**3 - 3*f**3)*(290*f**2 - 199*f**2 + 1196*f**2). 1287*f**5 Expand 0*k**2 - k**2 + 3*k**2 - k + k - k**2 + (15*k - 9*k + 8*k)*(-1 + 1 - 3*k). -41*k**2 Expand (40 + 112 - 41 + 73)*(5*n**5 + 0*n**5 - 3*n**5). 368*n**5 Expand (46 - 10*x + 157*x - 46)*(1 + 0*x**3 - 2 + x**3). 147*x**4 - 147*x Expand (3 - 4 + 0)*(-32*l**2 + 13*l**2 - 32*l**2 + 3*l**2 - l**2 - l**2 + (-2*l - 3*l + 4*l)*(-2*l + 1 - 1)) + (0 - l + 0)*(-2 + 2 + 2*l) + l - l - 3*l**2. 43*l**2 Expand (-2*y + 1 - 1)*(40 - 2 - 14)*(-6*y**3 - 7*y + 20*y**3 - 12*y**3). -96*y**4 + 336*y**2 Expand -807 + 1616 + 839*p**3 - 809 + (-2*p - 3 + 3)*(0*p + 0*p - p**2). 841*p**3 Expand (2*l - 3*l - 2*l)*(-1 + 3 + 0)*(-29*l - 13*l + 53*l). -66*l**2 Expand (-1 + 2*l + 1)*(-126*l + 671 - 332 - 338). -252*l**2 + 2*l Expand (49 - 25 - 21)*(5*l**2 - 4*l**2 - 2*l**2 + (0 + 1 + 1)*(l**2 + 2*l**2 - 5*l**2) + 2 - 2 + 2*l**2). -9*l**2 Expand (-204*c - 327*c + 39*c)*(-2 + 2 - 2) + 3 - c - 3. 983*c Expand -2*v - v + 2*v + (17*v - 18*v + 19*v)*(2 - 4 - 1). -55*v Expand (0*z + 0*z - 2*z)*(z**3 + z - z) - 3738*z + 3738*z - 224*z**4. -226*z**4 Expand (-2 + 6*s - 2*s - 2*s)*(-4*s**3 + 2*s**3 + 4*s**3) - 60 + 60 + s**2 - 67*s**4. -63*s**4 - 4*s**3 + s**2 Expand (-3 - 1 + 3)*(255*p**2 - 125*p**2 - 29 - 131*p**2). p**2 + 29 Expand -3*n**2 + n**5 + 3*n**2 + (-2*n**4 + 0 + 0)*(4*n + 0*n - 3*n) - n**5 - 11*n**4 - 74*n**4 + 38*n**4. -2*n**5 - 47*n**4 Expand y**3 - 2*y**3 + 2*y**3 + (-1 - 2 + 4)*(84*y**3 + 85*y**3 + y**3). 171*y**3 Expand (3*t**3 + 0*t**3 - 6*t**3)*(-4 + 5 - 2) + 2*t**3 - t**3 + t**3 + (6*t - 89 + 89 + 3*t**2)*(3*t + 0*t - t). 11*t**3 + 12*t**2 Expand (0 + 2 + 0)*(-157 - 115 + 43)*(-y + y - 2*y**2). 916*y**2 Expand (0*q**2 + q**2 + 0*q**2)*(-2 + 6 - 2) + 198*q - 99*q + 49*q**2 - 97*q. 51*q**2 + 2*q Expand (4 - 4 - 2)*(2 - 2 - 2)*(0 + 4 - 2)*(-4 + 2 + 4)*(-14*q + 9*q + 19*q). 224*q Expand (l**2 + 0*l**2 + 0*l**2)*((-1 + 1 - 2*l**2)*(l + 6*l - 3*l) - 14 - 4*l**3 + 14). -12*l**5 Expand (-5*g + 4*g - g)*(-10*g - 15*g + 18*g). 14*g**2 Expand 2*y**5 - 2*y**5 - 2*y**5 + (-2*y**3 - 3*y + 3*y)*(2041*y + 90*y**2 - 2041*y) - y**4 + y**4 + 2*y**5. -180*y**5 Expand (96*m - 5*m - 10*m)*(-1 - 11*m**2 - 5*m**2 + 5*m**2 + m). -891*m**3 + 81*m**2 - 81*m Expand (3 - 2 - 2)*(-1 - 6 - 1)*(-7*c**5 + 26*c**5 + 21*c**5). 320*c**5 Expand (34 + 21 + 6)*(b - 3*b - b)*(0*b + 6*b - 4*b)*(-4*b + b + 5*b). -732*b**3 Expand -3*u - 10*u + 1 + 3*u + (-6*u + u + 3*u)*(1 - 1 - 1). -8*u + 1 Expand (2 - 2 - 2)*(2*p**2 - p**2 - 3*p**2) + (-p - p - 15*p)*((5*p - 3*p - 4*p)*(2 + 0 - 4) - 2 - 2*p + 2 - p - 3*p + p). 21*p**2 Expand (0*j + 2*j + 0*j)*(-4 + 4 + j) + 5*j**2 + j**2 - 4*j**2 + 2*j**2 - 5*j**2 + j**2 + 993 - 995 - 10*j**2 - 27*j**2. -35*j**2 - 2 Expand (-f - 4*f + 4*f)*(0 + f**2 + 0) + 3 + 2*f**3 - 3 - f**3 + f**3 + f**3 - 98*f**3 - 48*f**3 + 15*f**3. -129*f**3 Expand (-2*y + y + 0*y)*(-2*y**2 + 5*y**2 - 2*y**2 + (15*y**2 - 28*y + 28*y)*(-6 + 2 + 1)). 44*y**3 Expand 0 - 2*x**2 + 0 + 6*x**2 - 6*x**2 + x**2 + (-2*x - 2*x + 5*x)*(-x + 3*x - 4*x) + 11*x**2 + 6*x - 6*x. 8*x**2 Expand (-2*s + 2*s + 3*s**3)*(-8 + 0 - 1)*(4 + 5 + 3) + 2*s - 2*s - s**3. -325*s**3 Expand (3*i**3 + 0*i**3 - 4*i**3)*(2 - 1 - 2 + (0 - 3 + 2)*(1 - 1 + 1) + 3 - 1 - 1 + 0 + 3 - 2 + 3 - 3 + 1 - 3 - 1 - 9). 12*i**3 Expand (15*a**2 - 44*a**2 + 165*a**2)*(-a + 6*a - 2*a)*(2*a - 4*a + 0*a). -816*a**4 Expand ((-2*f + 5 - 5)*(-2*f - 4*f**2 + 2*f) + 0 + 2*f**3 + 0)*(0 - 3 + 1)*(-f + 1 - 1). 20*f**4 Expand (2 + 2 - 5)*((-4*c + 0*c + 3*c)*(-3 + 1 + 4) - 5*c + 3*c + 3*c + (1 + 3 - 3)*(-6 + 3*c + 6))*(-4*c + 9*c**3 + 4*c). -18*c**4 Expand (-1 - 4788*n + 35*n**3 + 4788*n)*(0*n - 5*n + n). -140*n**4 + 4*n Expand (-3*s + 0*s + 2*s)*(-s + 2*s + s) + 1 + 0*s - 2*s**2 + 0*s + (-14*s**2 + 3*s**2 + 6*s**2)*(-4 - 1 + 1). 16*s**2 + 1 Expand -2*r + 3*r - 3*r + (4 - 2 + 0)*(-8008 - 207*r + 8008). -416*r Expand (421 - 421 + 203*t)*(4*t**3 - 2*t**3 - t + 3*t) + 1 - t**4 - 1. 405*t**4 + 406*t**2 Expand -4*a**5 - 27*a**3 + 27*a**3 + (3 + a - 3)*(-2*a**4 + 5*a**4 - 2*a**4). -3*a**5 Expand (-25 - 3*t + 25)*(-2 - 1 + 1)*(3*t + 2*t - 3*t)*(3 + 1 + 1). 60*t**2 Expand 3*j - 3*j + 5*j**3 + (-6*j**3 + 3*j**3 + 2*j**3)*(1 - 6 + 3) + 2*j**3 - 2*j**3 + 4*j**3 + 1 - 1 + 2*j**3 + (5*j - j - 2*j)*(-2 - 2*j**2 + 2). 9*j**3 Expand (11 + 0 + 1)*(-2 + 1739*q - 1733*q - 1). 72*q - 36 Expand (22*c + 11*c + c)*(-c + c - 3*c**3) - 2*c**4 + c**4 - c**4 - 3*c**4 - c**4 + 5*c**4 + (0*c - c**2 + 0*c)*(-3*c**2 - c**2 + 2*c**2) - 6*c - c**4 + 6*c. -102*c**4 Expand (-6*r + 0*r + 8*r)*(3*r**3 + r**3 - 2*r**3) + (r**2 + 0*r**2 + 2*r**2)*(-1 + 4*r + 1)*(-3*r + r + r). -8*r**4 Expand (r**3 + 2*r**3 - 4*r**3)*(-r - 2*r + 2*r + 2*r - 2 + 2 + (0 + 0 + 1)*(r + 3 - 3)) + (5*r + 0*r - 2*r)*(-1 - r**3 + 1) - 2*r**4 + 0*r**4 + r**4. -6*r**4 Expand (-16*b**4 - 39*b + 39*b)*(6 + 7 - 5). -128*b**4 Expand (f - 6*f + 0*f + (6*f - 2*f - 3*f)*(0 - 11 + 0) - f + 1 - 1)*(-3 - 3 + 4). 34*f Expand q + 2*q - q + (0*q - 2*q + 4*q)*(-1 + 5 - 3) - 2*q - 3*q + 6*q + 45 - 5*q - 45 + 101 - 14*q - 101. -14*q Expand (-18*i + 16 - 16)*(5*i - 2*i + 6*i - i + 0*i - i + (1 - 1 + i)*(-4 + 0 + 3)). -108*i**2 Expand (2*a**4 - 2*a**2 + 2*a**2)*(-6191 - a - a + 5830 - a). -6*a**5 - 722*a**4 Expand (-1 + 2 - 2)*(12 + 36*w - 40 + 15). -36*w + 13 Expand -8*a**2 + 4*a**5 - 5*a**5 + 9*a**2 + (-63*a**4 - 3*a**5 + 63*a**4)*(0 - 4 + 2). 5*a**5 + a**2 Expand (508*p - 116*p + 65*p)*(p**2 + 4*p**2 - p**2)*(2*p**2 + 0*p + 0*p). 3656*p**5 Expand -h + 2*h + 0*h + (0 - 2 - 1)*(0 + 0 - 2*h) + 9*h - h + 2*h - 16*h + 3*h + h. 5*h Expand (-1 - 2 - 1)*(2*u + 3 - 3)*(-7*u + 15*u - 14*u)*(-2 - 2*u - 3 + 4). -96*u**3 - 48*u**2 Expand (2*c + 3*c - 3*c)*(428*c - 465*c + 933*c). 1792*c**2 Expand 88*x**3 + 1450*x - 1450*x + 2*x**3 - 3*x**3 + 2*x**3 + 0 + 2*x**3 + 0 - 3*x**3 + x - x + (-4*x - x + 3*x)*(-4*x**2 + 5*x**2 - 2*x**2). 90*x**3 Expand (8 + 48 - 26)*(2 + 2*m**2 - 2)*(-2 + 2*m**2 + 2). 120*m**4 Expand 4 - 4 - 3*n**3 + (n + 2*n - 5*n)*(-2*n**2 + n - n) + 35*n**3 + 73*n**3 - 62*n**3. 47*n**3 Expand (-5 + 4 - 1)*(-d - d + 4*d) + (-7*d - 3*d + 0*d)*(-2 + 4 + 0) + 263 - 263 - 14*d. -38*d Expand (2 - 1 + 1)*(5*l - 3*l + 0*l) - 4*l + 2*l + 0*l + 238*l - 107*l - 96*l. 37*l Expand (-3 - 3 + 16)*(-97*n + 114*n - 83*n). -660*n Expand (-2 + 3 - 10)*(4 + 2 - 2)*(2 + 2*h**5 + 1 - 4*h**5 + h**3). 72*h**5 - 36*h**3 - 108 Expand 11 - 11 + 3*s**2 + (4*s + 0*s - s)*(-5*s + 2*s + 10*s) + (3*s - 2*s - 3*s)*(2 + s - 2). 22*s**2 Expand 4 + 13 - 1 - i + (-i + 15 - 15)*(3 - 3 + 3) - 1 - i + 1. -5*i + 16 Expand (2*h**4 + 2*h**3 - 2*h**3)*(2 - 4 + 4) - 12 + 11*h**4 + 12 + 4*h**4 + h**4 - 4*h**4 + h**4 + 2*h**2 + 2*h**4 - h**2. 19*h**4 + h**2 Expand (-71*r + 14 + 12 - 28)*(-4*r**2 + r**2 + 2*r**2). 71*r**3 + 2*r**2 Expand (-2*d + 3*d - 3*d)*(-5*d**2 + 3*d**2 + 0*d**2) + (1 + 2 + 0)*((-3 + 3 - 2*d**2)*(-3 - 1 + 2) + 5434*d - 5434*d - 3*d**2)*(3*d + 0*d - 2*d). 7*d**3 Expand (-21 - 22*p**3 - 3*p**2 + 21)*(23 + 26*p - 22 - 3*p). -506*p**4 - 91*p**3 - 3*p**2 Expand -2*v**2 + v**2 + 0*v**2 + v - v**2 - v + 0*v**2 - v**2 + 0*v**2 + (3*v - v - v)*(-4 - 2*v + 4) + v**2 + 0 + 0 - 2*v**2 - 4*v**2 - 2*v**2 - 4*v. -12*v**2 - 4*v Expand (2 - 3 - 1)*(-13825 - 233*a + 13825 - 2*a - 3*a + 6*a + 4*a - a - a - 3*a + a + 0*a - a + 2 - 2 + (3 - 2 + 1)*(a + 3*a - 3*a) + a + 0 + 0). 460*a Expand (4 - 4 + 5*l**2)*(-44*l - 26*l - 48*l). -590*l**3 Expand 91*j**2 - 91*j**2 + 11*j**5 + 2*j**5 + j**5 - 2*j**5 + (j**5 + 0*j**5 + 0*j**5)*(4 - 3 - 3). 10*j**5 Expand -4*k**2 + 2*k**2 + 0*k**2 + (-3*k*
{ "pile_set_name": "DM Mathematics" }
g(z) = -4*z + 6. Let t(m) = -m + 1. Let q(j) = -g(j) + 6*t(j). Let h(s) be the third derivative of s**4/6 - s**2. Calculate h(q(w)). -8*w Let g(f) = -8*f + 2 - 2 + f. Let r(p) = p**2. Determine r(g(u)). 49*u**2 Let y(r) = 9*r**2. Let f(u) be the first derivative of -u**4/24 - u**2 + 3. Let m(z) be the second derivative of f(z). Give y(m(w)). 9*w**2 Let v(u) = u**2. Suppose 4*g + 16 = 4*o, 2*g + 0 = o - 6. Let h(a) = -a + a**o + a**2 + a. Give h(v(w)). 2*w**4 Let c(k) be the first derivative of 2*k**3 - 3. Let b(o) = o**2 - 2*o. Let f(v) = -v. Suppose 0*i - i = -1. Let u(h) = i*b(h) - 2*f(h). Determine u(c(x)). 36*x**4 Let f(v) = 7*v**2 + v - v. Suppose -4*y = 16, 4*r - 2*r = -y. Let z(c) = c**2 + 4*c**r - 2*c**2 - 2*c**2. Calculate f(z(i)). 7*i**4 Let l(b) = 3607*b**2. Let f(c) = c. Calculate f(l(t)). 3607*t**2 Let m(v) = v + 16. Let b be m(-12). Let c(q) = b*q + 0 - 9*q + 0. Let n(s) = 3*s + 4. Let d(p) = -7*p - 9. Let o(y) = 4*d(y) + 9*n(y). Calculate o(c(k)). 5*k Let w(k) = k. Let a(n) be the third derivative of -3*n**2 + 0*n**4 + 1/2*n**3 + 1/60*n**5 + 0*n + 0. Let z(m) be the first derivative of a(m). What is w(z(d))? 2*d Let g(j) = -2*j - 4. Let z(a) = 3*a + 5. Let m = -2 + -3. Let h(c) = m*g(c) - 4*z(c). Let u(b) be the second derivative of 2*b**3/3 - b. What is u(h(w))? -8*w Let u(q) = -3*q**2. Let g(b) = -b - 7. Calculate g(u(s)). 3*s**2 - 7 Let b(v) = 58*v. Let x(p) = -6*p. What is x(b(y))? -348*y Let c(x) = 7*x. Let k = -13 - -15. Let a(i) = -11*i**k - 9*i**2 + 23*i**2 - 5*i**2. Give a(c(w)). -98*w**2 Let x(o) = 11*o**2 - 13*o + 13. Let h(u) = 5*u**2 - 6*u + 6. Let p(c) = 13*h(c) - 6*x(c). Let q = 5 + 0. Let s(g) = q*g**2 - 3*g**2 + g**2. Calculate p(s(r)). -9*r**4 Let k(y) = 3079*y. Let j(n) = n. Determine k(j(z)). 3079*z Let p(a) = -a**2. Suppose 2*m = -2*q, -5*q + q = 2*m - 4. Let h(c) = -13*c**q + 24*c**2 - 9*c**2. Calculate p(h(g)). -4*g**4 Let z(a) = -2*a**2 + 19*a. Let p(h) = h**2 - 2*h. Let y(m) = 3*m**2 - 5*m. Let j(s) = -5*p(s) + 2*y(s). Calculate j(z(r)). 4*r**4 - 76*r**3 + 361*r**2 Let n(b) = -188*b**2. Let d(f) = f. Calculate d(n(q)). -188*q**2 Let m(z) = -z. Suppose -9*t + 6 = -6*t. Let o(k) = -t*k**2 - 4*k**2 + k**2. Give m(o(w)). 5*w**2 Let g(o) = -6*o**2 - 8*o + 8. Let u(v) = 4*v**2 + 5*v - 5. Let z(h) = 5*g(h) + 8*u(h). Let i(c) = 11*c**2. Give i(z(t)). 44*t**4 Let s(p) = 4*p**2. Let o(c) = c**2 - 8*c + 9. Let v be o(7). Let a(g) = 0 - 3*g**v + 0 + 6*g**2. Calculate s(a(r)). 36*r**4 Let i(x) = 36*x. Let j(v) = 42*v. Determine i(j(d)). 1512*d Let j(u) = -20*u + 9. Let t(i) = 12*i. Give j(t(a)). -240*a + 9 Let u(o) = 2*o. Let k(i) be the third derivative of i**7/840 - i**4/8 + 4*i**2. Let v(y) be the second derivative of k(y). What is v(u(l))? 12*l**2 Let u(t) be the third derivative of t**5/30 - t**2. Let d(g) = -g. Let n(r) = -r**2 + 2*r. Let f(s) = 6*d(s) + 3*n(s). Calculate u(f(h)). 18*h**4 Let m(t) = t. Let o(z) = -2*z. Let l(q) = -10*m(q) - 6*o(q). Let p(u) be the third derivative of u**4/8 + 2*u**2. Give l(p(f)). 6*f Let n(i) = -3*i**2. Let c(h) be the second derivative of h**4/6 - 8*h. What is n(c(r))? -12*r**4 Let s(u) be the first derivative of -8*u**3/3 + 10. Let z(r) = r. Determine z(s(i)). -8*i**2 Let n(l) = 2*l**2 - 6*l - 6. Let p(q) = 2*q**2 - 5*q - 5. Let c(h) = 5*n(h) - 6*p(h). Let a(o) = -12*o**2. Calculate a(c(f)). -48*f**4 Let w(d) be the second derivative of d**4/6 - 2*d. Let n(x) = -x + 2*x - 2*x + 4*x. Give w(n(h)). 18*h**2 Let j(r) = 2*r**2. Suppose 2 = 3*i - i. Let v(m) be the first derivative of 0*m + 0*m**2 + i - 1/3*m**3. Give j(v(y)). 2*y**4 Let c(m) = -10*m. Let l(t) = 7 - 7 - t**2. Calculate l(c(a)). -100*a**2 Let s = -19 - -24. Let u(y) = -15 + 20 - s + 2*y. Let a(n) = 2*n. Determine u(a(v)). 4*v Let s(i) = 13*i**2 - 5*i - 5. Let t(b) = 20*b**2 - 8*b - 8. Let z(y) = 8*s(y) - 5*t(y). Let q(v) = 2*v**2 + 4*v**2 - 4*v**2. Give z(q(w)). 16*w**4 Let l(p) be the third derivative of p**4/4 - 31*p**2. Let b(j) = 9*j**2. What is l(b(m))? 54*m**2 Let i be 11 - 15 - (0 + -7). Let h(j) be the second derivative of -1/3*j**i + 0 + 0*j**2 - 3*j. Let y(r) = -3*r. Calculate y(h(z)). 6*z Let u(z) = 7*z**2. Let g(c) = 119*c. Calculate g(u(d)). 833*d**2 Let p(y) = 0*y**2 + 3*y**2 - 4*y**2. Let d(f) = -7*f**2 + f + 3. Let u(h) = h**2 - h - 3. Let a(x) = -d(x) - u(x). What is p(a(c))? -36*c**4 Let a(x) = 2*x. Let n(r) = -875*r. Give n(a(p)). -1750*p Let d = -20 + 34. Let m(n) = -4*n**2 + n**2 + d*n**2. Let x(q) = q**2. Calculate x(m(s)). 121*s**4 Let s(l) be the second derivative of -l**3/3 - l + 7. Let f(r) = 2*r - 32. Determine f(s(g)). -4*g - 32 Let r(m) = -2*m**2. Suppose 4*v - 11 + 3 = 0. Let u(n) be the first derivative of 0*n**v + 0*n - 1/3*n**3 + 2. What is r(u(t))? -2*t**4 Let y(w) = -w**2. Let v(q) = 29*q**2 + 11*q. Let k(o) = 15*o**2 + 6*o. Let u(z) = -11*k(z) + 6*v(z). What is u(y(l))? 9*l**4 Let x(z) be the second derivative of 0 + 0*z**2 - 5/12*z**4 + 0*z**3 + 3*z. Let h(l) = l. What is h(x(m))? -5*m**2 Suppose 0 = -3*a + 3*l + 2 + 13, -25 = 2*a + 5*l. Let m(u) = 0*u + 3*u + a*u. Let k(r) = 4*r**2 - r**2 + 4*r**2 - 5*r**2. Give m(k(w)). 6*w**2 Let a(w) = -5*w**2. Let l(r) = -8*r**2 - 3*r. Let y(c) = 8*c**2 + 2*c. Let z(q) = -2*l(q) - 3*y(q). Give z(a(x)). -200*x**4 Let q(i) = i + 1. Let r be q(3). Let f(w) = w**2 + 7*w - 3*w - r*w. Let m(p) = 2*p. Give m(f(b)). 2*b**2 Let f(l) = -l**2 - 2. Let m(b) = 2*b**2 + 3. Let d = 5 - 1. Let p(n) = d*m(n) + 6*f(n). Let o(t) = -2*t**2. Calculate p(o(w)). 8*w**4 Let z(t) = 8*t. Let g(s) = 2. Let j(k) = k + 3. Let q(d) = 3*g(d) - 2*j(d). Give q(z(b)). -16*b Let p = -2 + 4. Let u(q) = 2*q**p + 2*q**2 - 5*q**2. Let s(j) = -j. Determine s(u(m)). m**2 Let y(u) = 13*u**2 + 12*u**2 - 26*u**2. Let o(h) = h. Determine o(y(a)). -a**2 Let t(r) = -r**2 + 305*r + 1. Let y(j) = -2*j. Calculate y(t(a)). 2*a**2 - 610*a - 2 Let u(j) be the second derivative of 7*j**4/12 + 2*j. Let w(s) = s + s + 2*s - 3*s. Determine u(w(h)). 7*h**2 Let f(k) = -2*k**2. Suppose -3*s + 50 = 2*s. Suppose -4*x = x - s. Let b(h) = x + 6*h**2 - 2. What is f(b(l))? -72*l**4 Let l(b) = -b. Let v(k) = k - 1. Let s(f) = 2*f - 4. Let p(c) = -s(c) + 4*v(c). Let z(r) = -5*l(r) - 3*p(r). Let y(w) = -2*w + 2 - 2. Calculate y(z(a)). 2*a Let r(t) = t**2 + 5*t + 5. Let k(w) = -w**2 - 7*w - 7. Let m(b) = -5*k(b) - 7*r(b). Let h(a) = -8*a - 8*a + 11*a - 6*a. Determine m(h(f)). -242*f**2 Let m(x) = 2*x**2. Let b(f) = 92*f - 26. Determine m(b(l)). 16928*l**2 - 9568*l + 1352 Let g(n) = 2*n. Let a(w) be the second derivative of -w**4/12 + w. Calculate g(a(q)). -2*q**2 Let j(d) = -d. Let x(i) be the first derivative of -10*i**3/3 + 3*i**2 + 6*i - 2. Let p(r) = r**2 - r - 1. Let s(l) = 6*p(l) + x(l). Calculate j(s(m)). 4*m**2 Let j(m) = -m. Let c(d) be the first derivative of d**5/120 + 3*d**3 + 3. Let u(k) be the third derivative of c(k). Give j(u(w)). -w Let h(t) = -11*t. Let q(o) be the third derivative of o**5/120 - o**3 - o**2. Let y(p) be the first derivative of q(p). What is y(h(b))? -11*b Let p(s) = 4*s**2. Let m(z) = -3465*z. Calculate p(m(a)). 48024900*a**2 Let w(y) = -20*y**2. Let a(z) = -6*z + 9. Calculate a(w(v)). 120*v**2 + 9 Let q(o) = -18*o. Let d(t) = 63*t. Determine d(q(u)). -1134*u Let o(d) = 5*d**2 + d**2 - 7*d**2. Let h(y) = 0*y + 4 - 4 + 13*y. Determine h(o(u)). -13*u**2 Let z = -9 - -13. Let p(d) = -3*d + 3*d - z*d**2. Let s(a) = -3*a**2 + 5*a**2 - a**2. Give p(s(m)). -4*m**4 Let u(c) be the second derivative of -c**4/4 + c. Let d(r) = 2*r**2 + 784*r - 784*r. What is u(d(o))? -12*o**4 Let y = -3 - -5. Let f(w) = 4*w**2 + w**2 - 8*w**y. Let h(x) = 2*x**2. Determine h(f(u)). 18*u**4 Let c(t) = 3*t. Let h(r) = -3*r - 16. What is h(c(l))? -9*l - 16 Let f(s) = -6*s**2. Let o(p) = 2*p - 5. Let t(w) = 6*w - 16. Let d(l) = -16*o(l) + 5*t(l). What is f(d(x))? -24*x**2 Let d(j) be the first derivative of -j**3/6 + 2*j + 4. Let k(q) be the first derivative of d(q). Let r(w) = -2*w. Give k(r(m)). 2*m Let p(s) = -6*s - 11. Let b(g) = 3*g + 6. Let q(n) = -11*b(n) - 6*p(n). Let t(y) = 4*y + 13. Let l(z) = z + 3. Let w(d) = 26*l(d) - 6*t(d). What is w(q(m))? 6*m Let m(p) = 3*p. Let s(z) = -z**2 - 5*z - 2. Suppose -3*v - 9 + 0 = 0. Let a be s(v). Let b(r) = -r**2 + 2*r**2 - a*r**2 + 0*r**2. Determine b(m
{ "pile_set_name": "DM Mathematics" }
w) + 20*v(w)? -8*w - 4 Let j(t) be the second derivative of t**5/5 + 3*t**4/4 - 3*t**2 + 40*t. Let b(l) = -11*l**3 - 26*l**2 + 17. Determine 6*b(d) + 17*j(d). 2*d**3 - 3*d**2 Let f(y) = 787*y - 392*y - 2*y**2 - 393*y - 4*y**2 + 1. Let i(v) = v**3 + 12*v**2 - 5*v - 3. Give -5*f(g) - 2*i(g). -2*g**3 + 6*g**2 + 1 Let u(a) = 262*a + 1. Let y(g) = 2*g. Determine 2*u(s) + 10*y(s). 544*s + 2 Let d = 615 + -610. Let p(m) = -4*m**3 + 2*m**2 + 2. Let q(t) = 9*t**3 - 5*t**2 + t - 5. Calculate d*p(x) + 2*q(x). -2*x**3 + 2*x Let j(l) = l + 2. Let o(p) = p**2 + p - 2*p - 3 + 4. Suppose c - 75 = -5*d - 70, 5*d + 4*c - 5 = 0. Calculate d*j(a) - 2*o(a). -2*a**2 + 3*a Let q(j) = j + 1. Let v(r) = -3 - 1 + r - 2 + 8 + r**2. Let i = -1503 - -1501. Give i*v(p) + 3*q(p). -2*p**2 + p - 1 Let w(d) = 3*d**2 - 4*d - 1. Let m(x) be the first derivative of 4*x**3/3 - 5*x**2/2 - x + 267. Calculate 5*m(p) - 6*w(p). 2*p**2 - p + 1 Let b(f) = f**3 - 16*f**2 - 18*f + 24. Let t be b(17). Let q(z) = 8*z**2 - 3*z + 5. Let c(j) = -4*j**2 + 2*j - 3. Determine t*c(s) + 4*q(s). 4*s**2 + 2*s - 1 Let r(i) = -4*i - 7. Let a(u) = -u**2 + 6*u + 2. Suppose 7 = -h - 12. Let y = -12 - h. Let k be a(y). Let c(x) = x + 1. Give k*c(b) - r(b). -b + 2 Let n(m) = -12*m**3 - 5*m**2 + 3*m + 7. Let a(y) = -35*y**3 - 15*y**2 + 8*y + 19. Give -4*a(i) + 11*n(i). 8*i**3 + 5*i**2 + i + 1 Let s(r) = r**3 - 39*r - 7. Let n(i) = i - 1. What is -5*n(g) + s(g)? g**3 - 44*g - 2 Let z be (63/(-6))/(6/4). Let f(s) = -11*s**2 + 3*s + 9. Let a(x) = 5*x**2 - x - 4. What is z*a(t) - 3*f(t)? -2*t**2 - 2*t + 1 Let p(d) = 12*d**2 - 7. Let x(b) = -6*b**2 + 4. Let v be 6*(-3)/(-2)*33/(-99). Calculate v*p(t) - 5*x(t). -6*t**2 + 1 Let c(b) = -b**3 - 5*b**2. Let h be (-1710)/(-48) + (-6)/(-16). Let s = h + -9. Let q = 20 - s. Let o(k) = 4*k**3 + 16*k**2. Give q*c(p) - 2*o(p). -p**3 + 3*p**2 Let i(s) = -2*s**2 - 5*s - 2. Let o(z) = -8*z**2 - 39*z - 15. Let t(b) = -8*b**2 - 42*b - 16. Let x(n) = -7*o(n) + 6*t(n). Calculate -9*i(p) - 2*x(p). 2*p**2 + 3*p Let x(v) = 2*v + 4. Let t(z) = -101*z - z**3 - 93*z + 192*z - 5. Give -3*t(y) - 4*x(y). 3*y**3 - 2*y - 1 Let y(z) = -27*z + 155. Let g be y(6). Let u(w) = 2*w**3 - 5*w**2 + 5. Let b(n) = 3*n**3 - 7*n**2 + 7. Determine g*u(h) + 5*b(h). h**3 Let y(p) = -3*p - 2. Let b(w) = 7*w + 28. Give b(k) + 2*y(k). k + 24 Let x(s) = -4*s + 10. Let b(w) = 15*w - 39. Determine 2*b(z) + 9*x(z). -6*z + 12 Let w(i) = -21*i**3 + 11*i**2 + 11*i - 15. Let g(a) = 11*a**3 - 6*a**2 - 6*a + 8. What is -11*g(j) - 6*w(j)? 5*j**3 + 2 Let u(n) = -9*n**2 - 8*n + 5. Suppose -12*x + 4*x = 48. Let s(o) = 8*o**2 + 7*o - 5. Give x*u(i) - 7*s(i). -2*i**2 - i + 5 Let d = -155 - -147. Let q(k) = 20*k**2 + 8*k + 8. Let j(i) = -13*i**2 - 5*i - 5. Give d*j(y) - 5*q(y). 4*y**2 Let o = -273 + 387. Suppose -l + o = l. Let k(z) = 7*z - 3*z - 67*z**3 - 3*z**2 + l*z**3 + 7. Let g(f) = 3*f**3 + f**2 - f - 2. What is -7*g(a) - 2*k(a)? -a**3 - a**2 - a Suppose 33*s - 52 = 20*s. Let w(f) = 3*f - 6. Let b(d) = -7 + 3 - 3 + 4*d. What is s*b(h) - 5*w(h)? h + 2 Let m(o) = -87*o + o**2 + 33*o + 54*o. Let y(v) = -10*v**2 + 2*v. Give 4*m(g) - y(g). 14*g**2 - 2*g Let r = 106 + -108. Let y(v) = -v**3 - 2*v**2. Let c(i) = -3*i**3 - 9*i**2. Give r*c(k) + 9*y(k). -3*k**3 Let j(s) = s + 1. Let n(x) = 8*x + 17. Let w(c) = -6*j(c) + n(c). Let a(i) = -3*i - 25. Let h(u) = u + 11. Let o(b) = 2*a(b) + 3*h(b). Give 5*o(q) + 8*w(q). q + 3 Let y = -2 + 7. Let v be 12*((-5)/10)/1. Let l(h) = -3*h - 4. Let p(x) = -3*x - 5. Determine v*l(r) + y*p(r). 3*r - 1 Let x(l) = -7*l**2 + 2*l + 2. Let q(i) = -45*i**2 + 32*i + 32. Let a(g) = 15*g**2 - 11*g - 11. Let v(s) = 17*a(s) + 6*q(s). Calculate 6*v(u) - 15*x(u). 15*u**2 Let u(b) = -6*b - 4. Let i be (2 - (-2430)/(-342)) + 4/38. Let a(t) = -t - 1. Give i*a(q) + u(q). -q + 1 Let p(i) = 2*i - 3*i - 2*i**2 - 1 + 0*i - 2*i. Let g(o) be the first derivative of -o**3/3 - o**2/2 - 2. Let v = -6 + 9. What is v*g(z) - p(z)? -z**2 + 1 Let r(n) = 153*n**2 - 5*n. Let u(j) = j**2 + j. Calculate r(c) + 5*u(c). 158*c**2 Let o(g) = g**2. Let y(d) = 86*d**2. Determine -12*o(h) + 2*y(h). 160*h**2 Let s(q) = 28*q + 7. Let d(i) = 9*i + 2. Let p be 12/(-22) - (-15)/(825/(-740)). Give p*d(o) + 4*s(o). -14*o Let g(x) = 46. Let c(w) = 25. Let p(o) = 11*c(o) - 6*g(o). Let n(i) = -9*i - 15. Determine -n(l) + 15*p(l). 9*l Suppose 0 = -8*z + 10*z - 24. Suppose 3*r = -0*r + z. Suppose -r + 0 = -2*t. Let v(d) = -2*d - 2. Let p(m) = m**3 + 11*m + 11. Give t*p(k) + 11*v(k). 2*k**3 Let a(t) = t**2 + 8. Let q(y) = 3*y**2 + 15. Calculate 9*a(u) - 5*q(u). -6*u**2 - 3 Suppose 22 = 5*j + 7. Let b(m) = -3*m + 2 - 3*m**2 + 8*m + 4*m**2. Let o(i) be the third derivative of i**5/60 + i**4/24 - 11*i**2. Give j*o(z) - b(z). 2*z**2 - 2*z - 2 Let b(v) = -5*v + 18. Let p(r) = 4*r - 4. Let z(c) = -c + 1. Let t(h) = p(h) + 5*z(h). Determine b(g) - 6*t(g). g + 12 Let t(q) = -6*q**2 + 3 - 4 + 4*q**3 - 5*q**2 + 6*q**2 + 5*q. Let n = -8 + 8. Let r(m) = 1 - 3*m**3 + 4*m**2 + n*m - 4*m + 0. What is 5*r(h) + 4*t(h)? h**3 + 1 Let w(d) = -3*d + 5. Let s(c) = c - 1 - 4 + 1 + 2. Let y(x) be the second derivative of x**5/20 + x**2 - 3*x. Let n be y(0). Determine n*w(f) + 5*s(f). -f Let c(s) be the third derivative of s**6/20 + s**5/30 - s**4/12 - 137*s**2. Let b(d) = 31*d**3 + 11*d**2 - 11*d. What is 2*b(t) - 11*c(t)? -4*t**3 Let j(k) = k + 1. Let s(v) = 42*v - 8. Give 10*j(n) + s(n). 52*n + 2 Let x(t) = -2*t + 8. Let m(w) = w - 9. Let k be (4*(-6)/(-32))/((-4)/(-16)). What is k*m(r) + 2*x(r)? -r - 11 Let o(m) = -m**2 + 2*m. Let s(l) = 49*l**3 - 56*l**2 + 112*l. Determine 168*o(f) - 3*s(f). -147*f**3 Let i(l) be the second derivative of l**4/6 + l**3/2 + l**2 + 51*l + 1. Let p(q) = 2*q**2 + 2*q + 1. Give 3*i(k) - 4*p(k). -2*k**2 + k + 2 Let v(b) = 83 - b**2 - 11*b - 12*b**2 + 2*b - 76. Let r(o) = 6*o**2 + 4*o - 3. Give 7*r(l) + 3*v(l). 3*l**2 + l Let h(m) = -4*m + 3. Let r = -233 + 236. Let d(j) = 9 - 20*j - 5 + 12. Calculate r*d(u) - 16*h(u). 4*u Let l(t) = 3*t. Let z(x) = -2*x. Let m be (-198)/42 - 6/21. Let a = 49 - 52. Give a*l(b) + m*z(b). b Let l(h) = -4*h**3 - 2. Let a(b) = -18*b**3 + 5*b**2 - b - 22. Give a(v) - 5*l(v). 2*v**3 + 5*v**2 - v - 12 Let n = 6114 + -1128. Let i(f) = -4986*f - f**2 + f**3 + 1 + n*f. Let z(v) = 5*v**3 - 4*v**2 + 1. What is 4*i(a) - z(a)? -a**3 + 3 Let h(d) = d**3 + 14*d**2 + 14*d + 22. Let r be h(-13). Suppose 18*z - 15*z = -r. Let w(q) = -3*q - 3. Let x(i) = 3*i + 4. Give z*w(g) - 2*x(g). 3*g + 1 Let t(c) = -14*c**3 - c**2. Let v(m) be the second derivative of -m**5/20 - m**4/12 + 186*m. Give -t(a) + 3*v(a). 11*a**3 - 2*a**2 Suppose 0 = 3*k - 2 - 49. Let o be (-1)/2 - k/(-2). Let s(t) = 3*t**2 - 5*t + 6. Let z(i) = 5*i**2 - 8*i + 9. Calculate o*s(v) - 5*z(v). -v**2 + 3 Let h(w) = 2*w**2 - 4*w + 2. Let u = -5 - -14. Let y(g) = -16764*g**2 - 9 + 16756*g**2 - 12*g + 29*g. Determine u*h(i) + 2*y(i). 2*i**2 - 2*i Let s(i) = i + 23. Let h(j) = -j - 15. Let b(l) = 3*h(l) + 2*s(l). Let c(u) = 2*u**2 - 5*u. Give 3*b(z) - c(z). -2*z**2 + 2*z + 3 Let y(s) = 0*s + 3*s - 4*s + 0 - 6 - 5*s**3. Let c(g) = 6*g**3 + g + 7. What is -3*c(j) - 4*y(j)? 2*j**3 + j + 3 Let a be (30/(-4))/(1/2). Let x = -9 - a. Let i(s) be the second derivative of -s**2/2 - 2*s. Let n(l) = -l - 8. Give x*i(v) - n(v). v + 2 Let s(m) = m**3 + m**2 - 1. Let q(u) = -7*u**3 + u**2 - 12*u - 1. What is q(r) - s(r)? -8*r**3 - 12*r Let b(o) = -6*o + 122. Let f(v) = -7*v + 119. What is 5*b(n) - 4*f(n)? -2*n + 134 Let j(s) = s**3 - 2*s**2 + 4*s - 6. Let p(v) = v**3 + v + 1. What is j(x) - 2*p(x)? -x**3 - 2*x**2 + 2*x - 8 Suppose -72 = -18*p - 0. Let o = 12 + -6. Let t(s) = -1 + 5*s - o*s + 4*s + 2*s. Let j(f) = 4*f - 1. What is p*j(w) - 3*t(w)? w - 1 Let l(i) be the first derivative of i**3/3 + 11*i**2/2 - 2*i + 324. Let c(p) = 5*p - 1. Suppose -2*q + j = 2 - 16, -7 = q + 3*j. Determine q*c(d) - 2*l(d). -2*d**2 + 3*d - 1 Let x(y) = 9*y - 308. Let r(l) = 4*l - 156. Give 13*r(b) - 6*x(b). -2*b - 180 Let c(b) = -4 - 194*b**3 + 387*b**3 - 195*b**3. Let q(h) = 2*h**3 + 5. What is 6*c(y) + 7*q(y)? 2*y**3 + 11 Let x(r) = 9*r**3 + 4*r**2 - 56*r - 2. Let t(d) = 2*d**3 + 2*d**2 + d - 1. What is 2*t(s) - x(s)? -5*s**3 + 58*s Let h(o) = -o**3 + 3*o - 1. Let j(a) = -2*a**3 + 2*a - 1. What is
{ "pile_set_name": "DM Mathematics" }
g + 10 - 0. Suppose -4*d + 5*i = -24, 8 + l = -5*i. Solve -d = -s + 2*u, s + 5*u + 0*u = 8 for s. 3 Let x = 49 - 39. Solve 0 = 5*g - f - x, -2*f = -5*g + 2 + 3 for g. 3 Let f = 0 - 0. Let d = -107 + 110. Solve -d*o + v + 19 = -3*v, 3*o - 5*v - 23 = f for o. 1 Suppose 3 = -15*n + 63. Solve 2*q = -4*f - 2*q - 8, n = f - q for f. 1 Let a be (-2)/(-8) + (-19)/(-4). Suppose 4*b - 18 - a = -5*c, -3*b + 12 = 2*c. Solve -4*p + b*s - 6*s = 4, 5*p = -s - 9 for p. -2 Let i be (-34)/(-3) + (-10)/(-15). Let c be (i/(-15))/((-2)/5). Solve -5*k = -4*h + 16, k - 20 = -c*h - 3*h for k. 0 Let w = 63 + -43. Let f be (-2)/(4/(32/4)). Let h(m) = -m + 1. Let r be h(f). Solve -n - r*a + w = -a, n - 4*a + 20 = 0 for n. 0 Let a(q) = -7*q + 15. Let o(f) = -10*f + 22. Let g(s) = 7*a(s) - 5*o(s). Let z be g(7). Solve 3*u - 4*y - 40 = -u, -z*u = 2*y for u. 5 Let c be (1 + 0 - 2) + 3. Let n = -15 + 27. Let p be 3/n + 1/(-4). Solve -2 = c*b - p*j - 2*j, b - 3 = 3*j for b. -3 Let t be (-30)/(-20)*4/(-6). Let p = t + -1. Let b be (p/6)/((-5)/30). Solve 4*d + 10 = f, -5*f + 0*f + 6 = b*d for d. -2 Let i = 39 + -19. Let b be 2*(2 + 0/(-1)). Solve 25 = -5*o - b*t, -4*t - t = -5*o + i for o. -1 Let k be (-4 - -2)/(2/(-11)). Suppose 2*w + 9 = -0*w + 3*r, -r + 1 = 0. Let l be w*(-1 + (-3)/9). Solve i - l*i = -v - 9, -k = 5*v + 2*i for v. -3 Let h(t) = -2 + 2*t + 5 + 18. Let c be h(-9). Solve -y - c*y - 33 = -5*s, -4*s + 14 = 3*y for s. 5 Let n(z) = -z**2 + 11*z. Let k(a) = a**2 - 10*a - 1. Let d(g) = -4*k(g) - 3*n(g). Let h be d(7). Solve -h*s - 3*o + 23 = 4, -5*s - 3*o = -23 for s. 4 Suppose 2*u - 19 = -5*j, -2 = -j - 5*u + 11. Let o be 2 + 2 + -3 + j. Suppose 0 = 8*t - 3*t - 20. Solve k + 4 = o*c, -c + 18 = 2*k + t*c for k. 4 Suppose -10 = -5*f - 65. Let g(y) be the third derivative of y**4/24 + 7*y**3/3 - y**2. Let o be g(f). Solve 4*p + 3 + 1 = -4*d, -o = 3*p + d for p. -1 Let w = 5 - -10. Solve 5*m + w = -4*o, m + 2*o + 8 = -1 for m. 1 Suppose 5*x - 11 = -1. Let k = -4 - -8. Suppose 5*i - 5 = 0, -k*o = 2*i + 3*i - 17. Solve -5*s + x*v = v + 10, -o*s = -3*v + 18 for s. -1 Let o be -13*2*(-2)/4. Let x = 406 + -404. Solve -x*n + 11 = -3*k, 3*k - 2*n + n = -o for k. -5 Suppose -2*x = 3*x - 5*y - 55, 2*x - y = 17. Solve 3*p - x = -2*t, -4*p + 5*p + t - 3 = 0 for p. 0 Suppose 2*s - 4*a = 7 - 3, 2*s + 2*a = -20. Let m(f) = -f - 1. Let g be m(s). Solve 4*q = -12, -2*y + 4 = -q - g for y. 3 Suppose -3*b + 5 = 4*x, -2*x + 1 = -3*x. Solve -2*w + b = s - 2*s, 4*w - 9 = 5*s for s. -1 Let f(h) = -h + 37. Let i be f(10). Solve 0 = 2*w + 3*o + 2*o + 21, -5*w - i = 4*o for w. -3 Suppose 2*q - 28 = -3*q - 4*f, -3 = f. Suppose -5*b - 10 = 5*z, -5*b - 4*z - 18 = -5. Let d = q + b. Solve -33 = -k - d*k + 5*v, 0 = 2*k + v + 1 for k. 2 Let o(g) = -g - 2. Suppose -12 = z - 0*z. Let d = z + 6. Let a be o(d). Solve a*w - 3 = -2*i - 23, 0 = -4*w + i - 14 for w. -4 Suppose 2*c - 6 = -5*j + 13, -2*c = -4. Solve j*r = 2*m + 19, 4*r - 14 = r + m for r. 3 Let u = -47 - -51. Solve -2*v + u = -x + 1, 0 = -5*x + 2*v - 15 for x. -3 Suppose 0 = -0*i - 2*i. Solve 3*u - 1 = -13, 2*z + u = i for z. 2 Let a(h) = h - 3. Let y be (-322)/(-10) - 4/20. Let j be 6/(-18) - y/(-6). Let m be a(j). Solve 3*g + 2*x - 11 = 0, -m*g + 3*x + 20 = -2*x for g. 5 Suppose 3*o + 10 = 5*o. Let c(w) = -2*w - 7. Let x be c(-6). Solve 3*l - 2 + 5 = 3*n, -o*l + x = 5*n for l. 0 Let n(y) = 3*y + 3. Let m be n(-4). Let w(o) = -o + 5. Let f be w(m). Solve -29 = 5*l - 0*k + 3*k, 2*l = -2*k - f for l. -4 Let z be ((-4)/(-10))/(4/(66 + -6)). Solve -3*n + 5*g = 2, 4*n + g = 6*n + z for n. -4 Suppose 7 = 5*r - 3. Solve r*x + 10 = -4*d, -6*d = -x - 2*d + 19 for x. 3 Let t(q) be the third derivative of q**4/24 + 11*q**3/6 + 4*q**2. Let h be t(-7). Solve -o = h*b + 8, 5*b - 7 = 3*o - 0*b for o. -4 Let a be (2/6)/(3/18). Solve 2*u = n - 3*u - 26, 5*n - 15 = a*u for n. 1 Let w = -1 - -7. Suppose d - 1 = 10. Solve -3*q + d = 2*q - 2*a, -w = 2*a for q. 1 Let b(y) = y**2 + 6*y + 6. Let r be b(-6). Solve 0 = -4*o + 4, 5*o + 0 - r = -d for d. 1 Suppose 0 = 22*r - 7*r - 150. Solve r = 5*t - 3*a + 31, -3*t + 4*a = 17 for t. -3 Let r(m) = m**2 + 8*m + 10. Let s be r(-7). Suppose -5*i - 29 + 3 = -s*d, -4*d + 24 = -4*i. Let u = -3 - -7. Solve 2 = 3*b - u*p - 3, 17 = 5*b + d*p for b. 3 Suppose -5*r = 3*y - 22 - 10, -4*y + 12 = -r. Solve 0 = y*t + 3*m + 24, 6*t - 3*t = m - 5 for t. -3 Let u(m) = m - 5. Suppose -5*z + 5 = 0, -2*z = 3*d + 4 - 30. Let v be u(d). Let k be 17/v - 2/(-6). Solve -2*h - k = -f, -f + 4*h + 5 + 3 = 0 for f. 4 Suppose -2 = d + 4*p, -5*d - 4*p = -0*d - 6. Suppose b = d*b. Let w(h) = 2*h**3 - 3*h**2 + 2. Let v be w(2). Solve -c + f + v = b, 20 = -3*c + 6*c - 4*f for c. 4 Suppose 3*t - 5*t - 10 = 0, -4*g + 2*t + 38 = 0. Solve -2*o = -3*d + g, -4*d = 5*o - 0*o + 6 for d. 1 Let o be 4/(-6) - 8/(-3). Solve n + 6 = -a, o*n - 6*n + 3 = -5*a for a. -3 Suppose 7 = y - 3. Solve y = 4*h - 4*v + 22, h = 5*v - 7 for h. -2 Suppose -13*w - 18 = -15*w. Solve -w = 5*z + 2*v, 5 = -4*v - 3 for z. -1 Let d(l) = -l**2 + 2*l**2 - 9 + 11 - l. Let i be d(0). Suppose -i*q + 9 = q. Solve 3*c + 2*x - 7 = 4*x, 2*c - q*x - 13 = 0 for c. -1 Suppose 9 = -4*q - 11. Let o = -3 - q. Suppose 4*f + 0*f = 20. Solve 10 = o*l, 4*l + 0 = f*u + 35 for u. -3 Suppose -29 = -4*d + 31. Let j be (-1)/(1/(-3))*(1 + 0). Solve 0 = 5*l + d, 0 = 2*t + j*t - 4*l - 37 for t. 5 Suppose -9*w + 6*w = -15. Let z = w + 0. Solve z*n - 5 = 2*v, -n + 5*n = 4*v - 8 for n. 3 Let d = 6 + -4. Suppose 2*r - d = 2. Suppose 4*o - l - 25 = 0, -2*l + 5 = -4*o - 7*l. Solve -3*i + 20 = -2*i + 5*y, 0 = r*i - o*y + 35 for i. -5 Let a(w) = w + 5. Let k(o) = 4*o + 6 + 5*o**2 - 4*o**2 + 3*o. Let f be k(-6). Let u be a(f). Solve u*c = 5*i + 15, -5*i = -0*c + 5*c - 15 for c. 3 Suppose -9 = -2*j + 15. Suppose j = 3*b - 0. Suppose 7*s - b*s = 45. Solve 0 = -3*n - u - 4*u + s, 2*n + 2*u - 6 = 0 for n. 0 Suppose -4*x = -2*o + 92, 0*o + 5*x = -2*o + 92. Suppose -4*m + o = 18. Let d be 2/7 + (-24)/(-14). Solve 0 = -5*i + 4*p - 10 - 1, -i = -d*p + m for i. 1 Let l(r) = -r + 1. Let m be l(5). Suppose 8 = -3*y - 22. Let t be y/m*9*2. Solve -5*v + 5*i - t = 0, 0 = 5*v + 5*i - 6 + 11 for v. -5 Let h be (4/6)/(4/(-42)). Let w = h - -11. Solve 4*m + 2*o + w = 7*o, -m + 3*o = 1 for m. -1 Let b be (1/(-3))/1*-21. Suppose 2*j + j = 0. Let x = b + j. Solve 0 = w - 4*y + x + 12, 10 = 2*y for w. 1 Let h be 16/(-12)*(-3)/1. Suppose -5*b - 11 = -q + 8, 0 = -h*q + 3*b - 9. Let c be (-4 + -2)*2/q. Solve -c*g - 14 = -3*p, 14 = -4*g - 2*p + 2 for g. -4 Let f(j) = 8 + 4*j - 5*j - 12. Let o be f(-9). Solve 15 = -5*l, -8 = -o*i + 3*l + 1 for i. 0 Suppose p - 3 = -0*p. Solve 5*i + 10 = 2*j, 3*j + 5*i + 23 = p*i for j. -5 Let u = 250 - 175. Suppose -3*r = m - u, -26 - 164 = -3*m - 2*r. Let h = m + -38. Solve -h = -5*i + 3*c, -2*c + 2 = 5*i - 0 for i. 2 Suppose 4*f - 1 = 2*m + 13, 5*f = -4*m + 37. Suppose -4*d + 16 = -m*p, 0*p + p = 5*d - 31. Solve -5*g - 25 = 2*s, 3*s - 3*g = -d*g - 27 for s. -5 Suppose 0 = 3*y - y. Let r(w) = -w. Let q be r(-4). Suppose -4*i = -3*l + 27, -1 = -5*i - 16. Solve -18 = q*n - l*f, y*f = -2*n - f - 2 for n. -2 Let b(m) = m**3 + 3*m**2 + 2*m. Let r be b(-2). Suppose 3*g + 0*g - 9 = r. Solve g*k - 14 = -l + k, 2*l - 2*k + 2 = 0 for l. 4 Suppose 2 - 4 = l. Let m be (-20)/(-8)*(-4)/l. Let p be -5 + 3 + m*1. Solve 0 = -4*c + g + 21 - p, 2*g = 4*c - 20 for c. 4 Let k = 1 - 3. Let a be 8/12*(-3)/k. Solve 5*p + 2*q - 10 - a = 0, -4 = -p - q for p. 1 Let z(k) be the third derivative of -k**5/60 + 3*k**4/8 - k**3/2 - 3*k**2. Let o be z(8). Solve -o*t - 2*j + 9 = 0, 4*j = -3*t - 5 + 2 for t. 3 Let p(w) = w**3 - 4*w**2 - 3*w - 4. Let u be p(5). Solve -4*n = -r - 2 + u, -4*r - 8 = -4*n for n. -2 Let i be 1*4*99/12. Suppose 25 = w - 6*w, w = -4*n - i. Let v = -3 - n. Solve 6 = -3*a - q - 2, 0 = 5*a + v*q + 25 for a. -1 Let f(y) = -y**2 - 7*y + 11. Let t be f(-7). Solve -2*v + 4 = -3*q, -t = -v - 3*q - 0 for v. 5 Suppose -3*q - 8 = 4, 5*j - 23 = 2*q. Solve 0 = -4*d - 4*f - 4, f = j*d - f - 2 for d. 0 Let l = -26 - -36. Let z = 4 - 6. Let m = l - z. Solve -5*i = 2*q + 1, i - 3*i - m = -5*q for q. 2 Suppose -4 = -15*h + 13*h. Solve -h*y - 2*k - 2 = 0, y - k - 13 = -y for y. 4 Let v be 2/(-12) + -3 + 93/18. Solve -2*b + 4*b + 3*t + 9
{ "pile_set_name": "DM Mathematics" }
z(o) = 5*v(o) + y(o). Factor z(a). 5*(a - 4)*(a + 2)**2 Let f(m) be the first derivative of -2*m**6/3 + 4*m**5 - 7*m**4 - 4*m**3/3 + 16*m**2 - 16*m + 214. Suppose f(x) = 0. What is x? -1, 1, 2 Let b(w) = 25*w**3 + 10*w**2 - 60*w - 50. Let f(p) = p**4 - 25*p**3 - 11*p**2 + 61*p + 50. Let r(n) = -4*b(n) - 5*f(n). Factor r(t). -5*(t - 5)*(t - 2)*(t + 1)**2 Factor 3/8*c - 1/8*c**3 - 1/4 + 0*c**2. -(c - 1)**2*(c + 2)/8 Factor 36/13*h**2 - 70/13*h**3 + 0 + 2/13*h**5 + 0*h + 32/13*h**4. 2*h**2*(h - 1)**2*(h + 18)/13 Let d(j) = 2*j**2 - 13*j + 13. Let z(v) be the second derivative of v**4/6 - 2*v**3 + 6*v**2 - 18*v. Let a(q) = 4*d(q) - 5*z(q). Determine i so that a(i) = 0. 2 Let l be 95/114*(-2)/(-45). Let o(m) be the second derivative of -5*m + 0*m**2 - 1/54*m**4 + 1/135*m**6 - 1/90*m**5 + 0 + l*m**3. What is a in o(a) = 0? -1, 0, 1 Let b be ((-28)/70)/((-16)/(-12)*1 - 2). Factor -1/5 - 1/5*k**3 - 3/5*k - b*k**2. -(k + 1)**3/5 Let j(s) be the second derivative of -s**4/15 - 2*s**3/15 + 12*s**2/5 + 24*s. Factor j(p). -4*(p - 2)*(p + 3)/5 Find p such that -120*p**2 + 50/3*p**5 + 0 - 442/3*p**3 + 40/3*p**4 - 24*p = 0. -3, -2/5, 0, 3 Factor -1/2*n**4 - 9*n**3 + 0 + 0*n + 19/2*n**2. -n**2*(n - 1)*(n + 19)/2 Let g(t) be the third derivative of 5/3*t**3 + 1/3*t**5 + 11*t**2 + 0*t - 1/24*t**6 - 25/24*t**4 + 0. Factor g(w). -5*(w - 2)*(w - 1)**2 Let q = -136 - -433/3. Let t = q - 7. Factor 2/3*h - 2/3*h**2 + t. -2*(h - 2)*(h + 1)/3 Factor 3/2*w**3 - 108*w**2 - 20736 + 2592*w. 3*(w - 24)**3/2 Suppose -110*f + 304*f = 0. Let d be -2*(-4 + 2)/2. Factor 0*c**d + 2/3*c**4 + 0*c**3 - 2/3*c**5 + f + 0*c. -2*c**4*(c - 1)/3 Let g(q) be the third derivative of q**6/120 + q**5/10 + 3*q**4/8 + q**2 - 30*q. Let g(a) = 0. Calculate a. -3, 0 Determine d so that 45*d**4 + 59*d + 8*d + 8*d - 128*d**5 - 170*d**2 + 123*d**5 - 70*d**3 + 125 = 0. -1, 1, 5 Let u(v) = -v - 6. Let l be u(-6). Suppose l = 5*r - 1 - 9. Let -5*q**r + 14*q**2 - 12*q**2 = 0. What is q? 0 Let r(x) be the second derivative of x**7/14 + x**6/10 - 3*x**5/10 - x**4/2 + x**3/2 + 3*x**2/2 + 24*x. Factor r(k). 3*(k - 1)**2*(k + 1)**3 Let j be (-137)/630 - 6/(-108)*4. Let v(r) be the third derivative of -1/28*r**4 + 0 + j*r**5 + 2/21*r**3 + 0*r + 3*r**2. Suppose v(n) = 0. Calculate n. 1, 2 Let r(p) be the first derivative of 0*p**2 + 3/8*p**4 + 0*p**3 + 0*p + 14. Factor r(m). 3*m**3/2 Suppose -60 = -18*f - 6. Let x(i) be the second derivative of -1/4*i**2 + 0 + 1/48*i**4 + i - 1/24*i**f. Find l such that x(l) = 0. -1, 2 Let n = 23135/4 - 5783. Suppose n*r**3 + 1/2 + 13/8*r**2 + 3/2*r + 1/8*r**4 = 0. What is r? -2, -1 Let p(n) = -12*n**3 - 32*n**2 - 198*n - 110. Let j = 56 - -12. Let s(v) = v**3 + 3*v**2 + 18*v + 10. Let c(u) = j*s(u) + 6*p(u). Find y, given that c(y) = 0. -1, 5 Let x(l) be the second derivative of 0*l**2 + 0*l**3 + 7*l + 5/12*l**4 + 1/4*l**5 + 0. Let x(q) = 0. What is q? -1, 0 Let k(x) be the second derivative of -x**6/360 + x**5/15 - 2*x**4/3 + 17*x**3/6 - 9*x. Let m(v) be the second derivative of k(v). Let m(a) = 0. Calculate a. 4 Let r(z) be the third derivative of z**5/420 + 11*z**4/168 - 2*z**3/7 - 51*z**2 - 1. Let r(t) = 0. Calculate t. -12, 1 Suppose 2*l - 4*z - 12 = 0, l + 2*z - 3 - 3 = 0. Factor -l*m**3 + 32*m**2 - 24*m**3 - 3*m + 2*m**3 - m. -4*m*(m - 1)*(7*m - 1) Suppose 0 = f + 7 - 13. Solve -3*j**3 - f*j**2 + 681*j - 681*j = 0. -2, 0 Let j(o) be the second derivative of o**6/80 + o**5/10 - o**4/16 - o**3 - 11*o**2 + 7*o. Let w(h) be the first derivative of j(h). Factor w(m). 3*(m - 1)*(m + 1)*(m + 4)/2 Let k(z) be the third derivative of -z**5/210 - 9*z**4/14 - 243*z**3/7 + 85*z**2. Solve k(j) = 0 for j. -27 Let 307*u**4 - u**5 + 6*u**5 - 98*u**4 + 22800*u**2 + 31*u**4 + 3830*u**3 + 45125*u = 0. What is u? -19, -5, 0 Let k be 1*12 + 6118/(-644). Factor -1/2*v**4 - k*v**2 + v + 2*v**3 + 0. -v*(v - 2)*(v - 1)**2/2 Suppose 4*q - 3*w = -25, -4*w = -5*q + 2*q - 24. Let o = q - -12. What is r in 3 + 9*r**2 - 3 + o*r**3 - 4*r - 6*r**4 + r**2 = 0? -1, 0, 1/3, 2 Let d(v) = -9*v**2 - 9*v**2 + 23*v**2 - 2*v**2 + 11*v. Let j(l) = -l**2 - l. Let f(i) = -2*d(i) - 10*j(i). Suppose f(p) = 0. What is p? 0, 3 Let l(x) be the second derivative of -x**6/135 - x**5/10 + 11*x**4/54 + x**3/3 - 10*x**2/9 - 244*x. Determine b, given that l(b) = 0. -10, -1, 1 Let o(w) = 3*w**2 + 12*w + 2. Let y(m) = -m**2 - 1. Let z(t) = o(t) + 2*y(t). Factor z(g). g*(g + 12) Let v(t) be the first derivative of t**4/72 + t**3/3 + 3*t**2 - 21*t + 13. Let n(a) be the first derivative of v(a). Factor n(c). (c + 6)**2/6 Let b(a) be the second derivative of a**4/12 - 38*a**3/3 + 722*a**2 + 2*a - 6. Find r such that b(r) = 0. 38 Let a(f) = f**3 - 12*f**2 + 11*f + 4. Let r be a(11). Suppose -34 - 2 = -r*z. Solve -27*g**4 - g**2 - z*g**4 - 2*g**2 - 3*g**2 - 15*g**5 - 27*g**3 = 0 for g. -1, -2/5, 0 Suppose 65*g + 106 = 108 + 258. Factor 0*j**2 + 3/5*j**g + 0 + 3/5*j**3 + 0*j. 3*j**3*(j + 1)/5 Let z(s) be the second derivative of s**5/80 + s**4/48 + 68*s. Let z(x) = 0. Calculate x. -1, 0 Let o(h) be the second derivative of h**4/66 - 2*h**3/3 + 96*h**2/11 - 47*h - 3. Factor o(i). 2*(i - 16)*(i - 6)/11 Let j(v) = 6 + 2 - v**2 + 0*v**2 + 8*v. Let r be j(8). What is y in -r*y**4 + 5*y**4 + 3*y**3 + 0 + 0 = 0? 0, 1 Let j(m) be the third derivative of -m**5/20 - 23*m**4/8 - 30*m**3 + m**2 + 29*m. Let j(c) = 0. What is c? -20, -3 Let j(x) be the third derivative of -x**10/756000 + x**9/30240 - x**8/4032 + 17*x**5/60 + 25*x**2. Let n(o) be the third derivative of j(o). Solve n(t) = 0. 0, 5 Let y be (-1470)/(-105) - 108/8. Factor -2*m**2 + 0 - 3/2*m - y*m**3. -m*(m + 1)*(m + 3)/2 Let u(w) = w**2 + w. Let o(m) = -4*m**2 + 3*m + 10. Let r(q) = o(q) + 3*u(q). Let b be r(7). Factor n**2 - 4*n + b*n + 1 + 1 - 4. (n - 2)*(n + 1) Let l(x) be the third derivative of 13/840*x**7 + 0*x + 0*x**3 + 0 - 1/336*x**8 + 0*x**4 + 1/120*x**5 + 4*x**2 - 11/480*x**6. Find z such that l(z) = 0. 0, 1/4, 1, 2 Let v(w) be the second derivative of 0 - 1/15*w**6 - 4/3*w**4 - 32*w + 9*w**2 - 3/5*w**5 + 2*w**3. Factor v(j). -2*(j - 1)*(j + 1)*(j + 3)**2 Let g(u) be the second derivative of -9/20*u**5 + 0*u**3 + 12*u + 0*u**2 - 1/2*u**4 + 0 - 1/10*u**6. Solve g(k) = 0 for k. -2, -1, 0 Let o(u) = 3*u**3 + u**2 - u - 2. Let d be o(3). Determine z, given that 75*z**2 + d*z + 622 - 460*z + 3 - 5*z**3 = 0. 5 Factor -4*m + 32 + 0*m**3 + 8*m**3 + 10*m**2 - 6*m**3 - 40*m. 2*(m - 2)*(m - 1)*(m + 8) Let u = -13597 + 13599. Factor 4/7*p - 2/7*p**u - 2/7. -2*(p - 1)**2/7 Let i(c) be the first derivative of c**6/72 + 2*c**5/3 + 40*c**4/3 + 8*c**3 - 23. Let f(n) be the third derivative of i(n). Factor f(h). 5*(h + 8)**2 Solve -24 + 13*k - 2/3*k**2 - 1/3*k**3 = 0 for k. -8, 3 Factor 72/7 - 27/7*p + 1/7*p**2. (p - 24)*(p - 3)/7 Factor 161*n + 353*n**2 + 7*n**2 + 2*n**4 - 561*n - 8000 - 1159*n**3 + 1211*n**3. 2*(n - 4)*(n + 10)**3 Let g(o) be the second derivative of o**4/32 - 9*o**3/4 - 57*o**2/4 - 433*o. Factor g(n). 3*(n - 38)*(n + 2)/8 Let y = -43 + 42. Let z(j) = -9*j**3 - 7*j**2 - j + 12. Let r(l) = l**3 - l**2 + l. Let x(d) = y*z(d) - 5*r(d). Factor x(k). 4*(k - 1)*(k + 1)*(k + 3) Let i = 5/33 - 13/110. Let f(r) be the third derivative of 0 + 0*r - i*r**6 - 6*r**2 + 0*r**4 - 1/105*r**7 + 0*r**3 - 1/30*r**5. Factor f(x). -2*x**2*(x + 1)**2 Find h, given that -18*h + 131*h**2 - 34*h**2 - 98*h**2 - 17 = 0. -17, -1 Let w(p) be the first derivative of -3*p**5/25 + 3*p**4/4 + 6*p**3/5 - 16. Factor w(u). -3*u**2*(u - 6)*(u + 1)/5 Let q(z) be the second derivative of 5*z**4/54 + 82*z**3/27 + 32*z**2/9 - 8*z + 7. Suppose q(g) = 0. Calculate g. -16, -2/5 Determine r, given that -63*r - 1690*r**2 - 3*r**5 - 12*r + 1810*r**2 - 24*r**4 - 18*r**3 = 0. -5, 0, 1 Let i(r) = 2*r**2 + 3*r - 3. Let b be i(-4). Let f = -15 + b. Factor -1 - f*w - 19*w**2 + 4*w + 18*w**2. -(w - 1)**2 Let y(k) = -14*k**4 + 2*k**3 + 4*k**2 + 20*k - 1. Let p(r) = 5*r**4 - r**3 - r**2 - 7*r. Let o(t) = -11*p(t) - 4*y(t). Factor o(v). (v - 1)**2*(v + 1)*(v + 4) Let a(g) be the first derivative of 10*g + 5/16*g**4 - 5/2*g**2 - 5/6*g**3 + 6. Find r, given that a(r) = 0. -2, 2 Let a be -3*(-64)/(-6)*-2*(-11)/(-264). Factor a - 2*o**4 + 1/3*o**5 - 2/3*o**2 + 11/3*o**3 - 4*o. (o - 2)**3*(o - 1)*(o + 1)/3 Let r(t) be the first
{ "pile_set_name": "DM Mathematics" }
3823 What comes next: 10, 8, -14, -68, -166, -320, -542? -844 What is the next term in -1604, -1600, -1598, -1598, -1600? -1604 What comes next: 14, 44, 124, 278, 530? 904 What is next in 266, 555, 848, 1145, 1446, 1751, 2060? 2373 What comes next: -116, -111, -104, -95, -84? -71 What comes next: 146, 143, 138, 131? 122 What comes next: 42, 61, 80, 99, 118? 137 What is the next term in -1774, -3543, -5312, -7081, -8850, -10619? -12388 What is the next term in -1, -1, -9, -31, -73, -141? -241 What is the next term in 2594, 2593, 2590, 2585, 2578, 2569? 2558 What comes next: -17, -16, 13, 76, 179, 328? 529 What is the next term in 8275, 8278, 8283, 8290, 8299? 8310 What is the next term in 42, 56, 86, 138, 218, 332? 486 What is the next term in -73, -146, -217, -286, -353, -418? -481 What is the next term in 41, 81, 111, 125, 117, 81, 11? -99 What comes next: 3, 1, -5, -15, -29, -47? -69 What comes next: 5327, 5323, 5327, 5345, 5383? 5447 What comes next: -1327, -5293, -11895, -21127, -32983, -47457? -64543 What is next in -34, -35, -36, -37? -38 What is the next term in 34, 22, -2, -44, -110, -206, -338? -512 What is the next term in -19, -21, -21, -19, -15, -9, -1? 9 What is next in 20, 137, 466, 1115, 2192, 3805, 6062, 9071? 12940 What is the next term in -617, -619, -621, -623? -625 What comes next: 8840, 8846, 8852, 8858, 8864? 8870 What is the next term in 44, 30, -2, -58, -144, -266, -430? -642 What is the next term in -1132, -8986, -30302, -71812, -140248, -242342, -384826, -574432? -817892 What comes next: 131, 277, 439, 617? 811 What is the next term in 521, 1064, 1607, 2150? 2693 What is next in -247, -499, -759, -1033, -1327? -1647 What comes next: 11, -1, -37, -109, -229? -409 What is the next term in 87, 175, 267, 369, 487, 627, 795, 997? 1239 What is next in 233, 787, 1709, 2999, 4657, 6683? 9077 What is the next term in -11, -28, -53, -86, -127, -176, -233? -298 What comes next: 306, 304, 298, 288? 274 What is the next term in 3, 30, 83, 168, 291, 458? 675 What is the next term in -347, -697, -1049, -1403, -1759, -2117, -2477? -2839 What comes next: 8, -21, -66, -127? -204 What is next in -141, -298, -473, -666, -877, -1106, -1353? -1618 What comes next: -16, -15, -4, 23, 72, 149? 260 What is next in 78, -15, -106, -195, -282? -367 What comes next: 102, 201, 300, 399, 498? 597 What is next in -1342, -2685, -4030, -5377, -6726, -8077, -9430? -10785 What is next in 3111, 3112, 3115, 3120, 3127, 3136? 3147 What is next in 109, 419, 935, 1657? 2585 What is next in 151, 607, 1369, 2437, 3811, 5491, 7477? 9769 What is next in 15, 21, 31, 45? 63 What is next in 16, 52, 112, 196, 304, 436? 592 What is the next term in -221, -494, -769, -1046, -1325? -1606 What is the next term in -18, -28, -30, -24, -10, 12, 42? 80 What is the next term in -964, -963, -962? -961 What comes next: -28, -32, -38, -46, -56, -68, -82? -98 What is next in 1081, 1080, 1079, 1078, 1077, 1076? 1075 What is next in 19, 152, 399, 760, 1235? 1824 What is next in 147, 163, 203, 279, 403, 587, 843? 1183 What is the next term in 139, 110, 81? 52 What is next in -832, -831, -830, -829, -828? -827 What comes next: 234, 481, 728, 975? 1222 What is next in 39, 155, 349, 621, 971, 1399? 1905 What is next in -22, -16, 4, 44, 110, 208, 344, 524? 754 What comes next: 261, 256, 241, 210, 157, 76, -39, -194? -395 What comes next: -17, -37, -69, -113, -169, -237, -317? -409 What is the next term in -49, -147, -317, -565, -897, -1319, -1837? -2457 What is next in -288, -287, -278, -255, -212? -143 What comes next: 788, 1575, 2362, 3149, 3936? 4723 What is the next term in 23, 72, 145, 236, 339, 448? 557 What is next in 6, 13, 24, 39? 58 What is next in -175, -180, -187, -196, -207, -220? -235 What is next in 10, 14, 12, 4, -10, -30? -56 What is next in -1040, -1041, -1044, -1049, -1056? -1065 What comes next: 212, 244, 324, 476, 724, 1092, 1604? 2284 What is next in 18, -3, -68, -201, -426, -767, -1248, -1893? -2726 What is next in -49, -43, -27, 5, 59, 141, 257, 413? 615 What is the next term in -206, -212, -218, -224, -230, -236? -242 What is the next term in -257, -498, -739, -980? -1221 What is the next term in -13, -3, 15, 41, 75, 117? 167 What is next in 54, 98, 140, 180, 218, 254? 288 What comes next: 4, 56, 202, 490, 968, 1684? 2686 What is next in -2, -31, -110, -263, -514, -887, -1406, -2095? -2978 What is next in 40, 72, 118, 184, 276, 400? 562 What comes next: -14, -30, -56, -92? -138 What is the next term in 89, 87, 85? 83 What is next in 14, 59, 174, 389, 734, 1239? 1934 What comes next: 21118, 42225, 63342, 84475, 105630? 126813 What comes next: 520, 499, 464, 415, 352, 275, 184? 79 What comes next: -139, -141, -143, -145, -147, -149? -151 What comes next: 12, 28, 82, 192, 376? 652 What comes next: 999, 2001, 3003? 4005 What is the next term in 12829, 12827, 12825, 12823, 12821? 12819 What is next in 16, 53, 114, 199, 308, 441, 598? 779 What is next in -36, -61, -88, -117, -148, -181, -216? -253 What is next in 91, 163, 235, 307? 379 What is the next term in -284, -278, -282, -302, -344, -414? -518 What is next in 2507, 5014, 7521, 10028? 12535 What is next in -33, -63, -91, -117, -141? -163 What is next in -41, -54, -65, -74, -81, -86, -89? -90 What comes next: -24859, -49718, -74577, -99436? -124295 What is the next term in 146, 184, 222? 260 What is the next term in -66, -35, 44, 195, 442, 809, 1320? 1999 What is next in -924, -932, -942, -954, -968? -984 What is next in 17, 4, -15, -40, -71, -108? -151 What is the next term in 58, 58, 56, 52, 46, 38, 28? 16 What comes next: -81, -113, -103, -57, 19? 119 What is next in -43, -64, -71, -58, -19, 52, 161? 314 What is the next term in -8487, -16974, -25461? -33948 What is the next term in -12, -72, -238, -564, -1104, -1912, -3042, -4548? -6484 What comes next: -9721, -19441, -29161? -38881 What is the next term in -18, -25, -28, -21, 2, 47? 120 What is next in -5448, -5447, -5446? -5445 What is next in 264, 263, 262, 261, 260, 259? 258 What comes next: 16, 10, 4? -2 What comes next: 325, 645, 967, 1291, 1617, 1945? 2275 What is the next term in 171, 215, 259, 303, 347? 391 What is the next term in 7536, 7537, 7538, 7539, 7540, 7541? 7542 What is next in -10, -4, 2, 8, 14, 20? 26 What comes next: 472, 940, 1394, 1828, 2236, 2612, 2950, 3244? 3488 What is next in 34, 105, 214, 361, 546, 769, 1030? 1329 What is the next term in 55, 102, 151, 202, 255? 310 What comes next: -25, -53, -81, -109, -137, -165? -193 What is next in -5, -23, -65, -143, -269, -455? -713 What comes next: 105, 115, 123, 129, 133, 135, 135? 133 What is next in 485, 1956, 4407, 7838? 12249 What is the next term in 1, 10, 29, 64, 121, 206, 325? 484 What is the next term in 28, 34, 26, -2, -56, -142, -266? -434 What is the next term in 2205, 2206, 2207? 2208 What is next in -191, -234, -291, -368, -471, -606, -779? -996 What comes next: 78, 93, 122, 171, 246, 353? 498 What is the next term in -355, -355, -341, -307, -247, -155, -25? 149 What is the next term in -763, -762, -761, -760, -759? -758 What is next in -154, -315, -480, -649, -822, -999, -1180? -1365 What comes next: 125, 244, 365, 494, 637, 800? 989 What comes next: 1071, 4275, 9615, 17091, 26703, 38451, 52335? 68355 What is the next term in -27, -50, -75, -102, -131, -162? -195 What is the next term in 11, 46, 101, 170, 247, 326, 401? 466 What comes next: -696, -1401, -2094, -2769, -3420, -4041? -4626 What comes next: -13, -39, -83, -145? -225 What is next in 3173, 3153, 3097, 2987, 2805, 2533? 2153 What is next in 249, 246, 243? 240 What is next in -268, -278, -288, -298, -308, -318? -328 What is the next term in -5195, -5194, -5193, -5192, -5191, -5190? -5189 What is the next term in -15, -4, 21, 66, 137, 240? 381 What is the next term in 13667, 13666, 13665, 13664, 13663, 13662? 13661 What is the next term in 16, 24, 34, 46, 60? 76 What is the next term in 11, -2, -13, -16, -5, 26, 83, 172? 299 What is the next term in 2325, 2326, 2327, 2328? 2329 What is next in 83, 82, 77, 68? 55 What is next in -14, -41, -68, -95, -122? -149 What is next in -11, -14, 9, 70, 181, 354, 601, 934? 1365 What is next in 1404, 2811, 4218? 5625 What is the next term in -102, -209, -320, -435? -554 What
{ "pile_set_name": "DM Mathematics" }
cond derivative of -9*q + 4*q**2 - 13*q**2 - 2*q + r*q**2 wrt q. 2 Let b(j) = 119*j**3 + 8*j**2 + j. Let t(g) = -238*g**3 - 15*g**2 - g. Let k(x) = -11*b(x) - 6*t(x). What is the third derivative of k(d) wrt d? 714 Let t be (-4)/(-3) + (-224)/(-21). What is the second derivative of 23*m - 7*m - 10*m + 8*m**4 - t*m wrt m? 96*m**2 Let v(k) = -32*k**3 - 12*k**2 + 6*k - 135. Let y(p) = -63*p**3 - 26*p**2 + 13*p - 269. Let x(d) = 13*v(d) - 6*y(d). Find the first derivative of x(m) wrt m. -114*m**2 Let x(w) be the first derivative of -w**2 - 4*w + 3. Let i be x(-2). Find the second derivative of i*c**3 + 3*c**3 - 5*c - 3*c**3 + 2*c**3 wrt c. 12*c Suppose -5*b + 24 - 4 = 0. Let o be 159/((-3)/(-12)*b). What is the second derivative of -9*q**4 - 9*q - o*q**3 + 159*q**3 wrt q? -108*q**2 Let g(b) = 1975*b**4 + 1958*b**2 + 5*b - 5. Let z(v) = -4938*v**4 - 4894*v**2 - 12*v + 12. Let o(q) = 12*g(q) + 5*z(q). Find the third derivative of o(n) wrt n. -23760*n Let j(m) be the third derivative of 41*m**6/60 - 7*m**5/12 + m**3/6 - 105*m**2 + 1. What is the third derivative of j(t) wrt t? 492 Let d be -6 - -3 - (-2 + -1). Suppose -2*b - 4 + 10 = d. Find the second derivative of -4*k**2 - 3*k + 2*k**2 + 2*k + b*k wrt k. -4 Let x(z) = z - 21. Let g be x(12). Let c(o) = 33*o - 83. Let u(h) = 8*h - 21. Let s(p) = g*u(p) + 2*c(p). What is the derivative of s(r) wrt r? -6 Let a(c) be the first derivative of -279*c**2/2 - 413*c + 13. Differentiate a(z) wrt z. -279 Let x(o) = -o**2 + o + 1. Let k(d) = 21*d**2 - 5*d + 272. Let b(t) = k(t) + 5*x(t). Differentiate b(z) wrt z. 32*z Find the second derivative of -6*d + 37*d**2 + 3*d**3 - d**3 + 0*d**2 + 69 - 24 + d**3 wrt d. 18*d + 74 Let z be 22/6 + (-34)/51. What is the derivative of -t**z + 34*t**3 + 10*t**3 - 32 wrt t? 129*t**2 Let n = 1156 + -1155. Let q(c) be the third derivative of -7*c**4/24 - 7*c**3/6 - c**2. Let z(a) = a - 1. Let r(o) = n*q(o) + 6*z(o). Differentiate r(g) wrt g. -1 What is the third derivative of 748*m**3 - 622*m**3 + 16*m**2 - 2*m**4 + 3*m**4 - 157*m**2 + m**4 wrt m? 48*m + 756 Let p(l) = 71*l**3 - l + 23. Let b(j) = j**3 + 1. Let k(m) = 4*b(m) + p(m). What is the second derivative of k(w) wrt w? 450*w Let b(o) = o**2. Let y(l) = -3*l**2 - 6*l**2 + 9*l**2 + 12*l**3 + 11*l**2. Let c(t) = -3*b(t) - y(t). Find the third derivative of c(j) wrt j. -72 Let m(v) be the first derivative of -v**5/5 + 19*v**3/3 + 14*v**2 + 6*v + 93. What is the second derivative of m(l) wrt l? -12*l**2 + 38 Let d(b) = -b - 1. Let h be d(-5). Find the first derivative of 9*j**3 + 3*j**3 + 11 - 6*j**3 + h*j**3 wrt j. 30*j**2 Suppose -4*s + 23 = -3*s - 4*c, -5*c - 37 = -4*s. Let x be -1 + (-3)/(-1) + 1. Find the third derivative of -8*p**x + 19*p**s - 6*p**3 - 6*p**2 wrt p. 30 Let j(k) be the first derivative of k**6/60 - k**4/2 - 10*k**3/3 + 5. Let p(m) be the third derivative of j(m). What is the derivative of p(s) wrt s? 12*s Let f(b) = 225*b**4 - 6*b**2 - 238. Let w(o) = o**2 - 1. Let s(g) = -f(g) - 6*w(g). What is the derivative of s(p) wrt p? -900*p**3 Let m(a) be the second derivative of 0*a**2 + 0*a**5 + 13/6*a**4 + 0*a**3 - 29/30*a**6 + 0 - 15*a. What is the third derivative of m(g) wrt g? -696*g Find the third derivative of -126*o**2 - 61*o**2 + 11*o**5 - 38*o**5 + 254*o**2 wrt o. -1620*o**2 Let t(i) be the second derivative of i**6/24 - 35*i**3/6 + 3*i**2/2 - i. Let m(v) be the first derivative of t(v). Differentiate m(j) wrt j. 15*j**2 Let j(l) = -l**3 - 12*l**2 + 13*l + 2. Let m be j(-13). Let c be (-2)/(-9) + m/(-9). What is the first derivative of 3*o**2 - 10 - 3*o**2 + c*o**4 + o**4 wrt o? 4*o**3 Let w(k) be the second derivative of 7*k**4/2 + k**3/3 + 129*k**2 - 574*k. What is the second derivative of w(d) wrt d? 84 Differentiate -47 + 151*x - 39 - 7 - 19 with respect to x. 151 Find the third derivative of -59*t**2 + 28*t**2 - 129*t**2 + 296*t**5 + 52113*t - 52113*t wrt t. 17760*t**2 Let m(l) be the second derivative of -1/5*l**5 + l**3 + 0 - 6*l + 0*l**2 + 0*l**4. What is the second derivative of m(d) wrt d? -24*d Let p(q) = q. Suppose 5 = j + m, 10*j - 5*m = 5*j - 15. Let h(x) = 10*x**2 + 34*x. Let v(c) = j*h(c) - 2*p(c). Find the second derivative of v(k) wrt k. 20 Differentiate -88*p - 223 + 180*p + 133*p wrt p. 225 Let u(l) = -252*l + 154. Let i(v) = -2142*v + 1309. Let c(m) = -5*i(m) + 42*u(m). Differentiate c(j) wrt j. 126 Let w(o) = 9*o**2 - 216 + 18*o**2 + 104 + 26*o + 108. Let v(l) = 81*l**2 + 78*l - 11. Let z(u) = -4*v(u) + 11*w(u). What is the second derivative of z(a) wrt a? -54 Let d(v) be the first derivative of 27*v**5/5 - v**2/2 - 11*v + 61. What is the second derivative of d(s) wrt s? 324*s**2 Let m(w) be the first derivative of -173*w**4/4 + 2*w**3/3 - 38*w + 208. Find the first derivative of m(n) wrt n. -519*n**2 + 4*n Let k(j) be the second derivative of 393*j**5/20 + j**4/12 - 8*j**3/3 - 332*j - 1. Find the third derivative of k(v) wrt v. 2358 Let d(f) be the second derivative of -31*f**4/12 - 39*f**2 - 5*f + 5. Differentiate d(l) with respect to l. -62*l Find the first derivative of 1 - 3 - 12*b**2 - 5 + 7*b + 9 + 16 wrt b. -24*b + 7 Let o(n) = 19*n - 226. Let v(k) = 6*k - 1. Let p(m) = -o(m) - 2*v(m). What is the derivative of p(i) wrt i? -31 Suppose 3 = -2*l + 7. What is the third derivative of 2*p**3 - 4*p**2 + p**l - 6*p**2 - 2*p**2 wrt p? 12 Let o(l) = 3*l**2 + l. Let i be o(-2). Let b be ((-4)/6)/(i/(-195)). Find the first derivative of -10*y**3 + 273*y - 273*y - b wrt y. -30*y**2 Let y(r) be the third derivative of r**9/504 - 3*r**7/2 + r**5/20 + 7*r**4/12 - 36*r**2 + 2. Find the third derivative of y(c) wrt c. 120*c**3 - 7560*c Let b(v) = 408*v**2 - 6*v - 47. Let d(m) = -815*m**2 + 14*m + 96. Let t(a) = 5*b(a) + 2*d(a). Find the second derivative of t(y) wrt y. 820 Let j(c) be the second derivative of 22*c**6/3 - 61*c**4/6 + c**3/3 - 44*c - 2. What is the third derivative of j(t) wrt t? 5280*t Differentiate 280 - d**4 + 13468*d - 13468*d + 108*d**2 with respect to d. -4*d**3 + 216*d Let t(c) be the third derivative of 0*c**6 + 21*c**2 - 17/210*c**7 + 0*c + 0 + 0*c**3 + 0*c**5 - 1/8*c**4. What is the second derivative of t(d) wrt d? -204*d**2 Suppose 0 = 2*k - k + 4. Let c = k - -9. Find the third derivative of 2*u**2 + 7*u**4 + c*u**4 - 7*u**4 wrt u. 120*u Suppose 4*s + 24 - 56 = 0. Find the second derivative of -2*k**3 - 13*k + s - 8 wrt k. -12*k Let z = -28 - -29. Suppose -u + 2 = -z. What is the third derivative of 10*i**6 + 19*i**3 - 10*i**u - 3*i**2 - 9*i**3 wrt i? 1200*i**3 Find the first derivative of -227 + 52*s**4 - 199*s + 199*s wrt s. 208*s**3 Let c = 182 + -180. Let v(x) be the third derivative of 0*x - 2/3*x**3 + 0*x**4 - 4*x**c + 0 + 1/30*x**5. Differentiate v(j) with respect to j. 4*j Let j = -1 - -3. What is the third derivative of p**4 + 10*p**4 - 7*p**j + 19*p**2 wrt p? 264*p Let f(p) be the first derivative of 97*p**3/3 - 76*p**2 - 157. Find the second derivative of f(s) wrt s. 194 Let l(y) = -27*y - 3. Let b be l(-1). What is the third derivative of -1512 + 20*i**3 + 1512 + b*i**2 wrt i? 120 Suppose 2*h - h = 3. Find the third derivative of 5*x**2 - x**2 + 72*x**3 - 53*x**h wrt x. 114 Let t(m) = -7*m**3 + 10*m**2 + 515. Let o(g) = 7*g**3 - 12*g**2 + g - 516. Let q(x) = 5*o(x) + 6*t(x). Differentiate q(s) with respect to s. -21*s**2 + 5 Let z be ((-2)/(-4))/(5/20). Suppose z = -x + 7. Find the second derivative of y**2 - y**2 - x*y**3 - 8*y - 4*y wrt y. -30*y Let m(k) be the first derivative of 19/2*k**2 - 17/3*k**3 + 6 + 0*k. What is the second derivative of m(o) wrt o? -34 Let v(z) be the second derivative of -z**8/168 + z**5/5 - 13*z**2/2 + 6*z. Let g(k) be the first derivative of v(k). Find the third derivative of g(w) wrt w. -120*w**2 Let f = -28 + 48. What is the first derivative of 8*u**4 - f + 2*u**2 - 2*u**2 + 0*u**2 wrt u? 32*u**3 Suppose 57*l + 70 = 62*l. Differentiate 8 + l + 54 - 27 - 8*a wrt a. -8 Let d(j) = -56*j**6 + 2*j**4 - 149*j**2 + 3. Let v(h) = -56*h**6 + 3*h**4 - 149*h**2 + 4. Let t(u) = -4*d(u) + 3*v(u). Find the third derivative of t(w) wrt w. 6720*w**3 + 24*w Find the second derivative of 18*s**5 - 80*s + 6*s**5 + 40*s**5 + 3*s**5 - 304*s wrt s. 1340*s**3 Let l = 119 + -117. Let t(r) be the second derivative of 1/5*r**5 + 0 - 5/6*
{ "pile_set_name": "DM Mathematics" }
h for t. 4 Let z = -40 + 45. Solve -4*t + z*t = 1 for t. 1 Let o be (-24)/(-9)*(-6)/(-4). Let p be 4/(1/6*o). Let q be 3/9*9 + 1. Solve -4*k = -p*k - q for k. -2 Suppose -3*g + 3*r - 18 = 0, 4*r + 0 - 8 = 0. Let v be 2 + g/((-4)/3). Solve -2*t + v*t - 9 = 0 for t. 3 Let k(g) = g**3 - 9*g**2 + 12*g - 8. Let z be k(8). Suppose -c + z = c. Let v be 4/26 - c/78. Solve 4*p + p + 5 = v for p. -1 Let i(k) = k**3 + k**2 + k + 1. Let d be i(-1). Solve d = -4*m + 15 + 5 for m. 5 Let i be 7 - -8*(1 - 2/4). Suppose 15 = -3*x - 12. Let u = i + x. Solve -3*n - 1 = u for n. -1 Suppose 233 = 5*b + 93. Suppose 4*y - 2*y = -4*a + b, -4*a + 28 = 4*y. Let v be 2/(-4)*(-2 - 4). Solve 5*k + a = -v for k. -2 Suppose 4*a - 92 = -2*l - 2*l, -14 = -l + 2*a. Suppose 3*c + 0*c + 8 = 4*r, 3*c - 12 = 0. Solve r*z + l = z for z. -5 Let p be (1 + -3 + 2)/((-30)/30). Solve -5 = g - p*g for g. -5 Let v(a) = a**2 + 11*a - 16. Let y be v(-13). Solve 0 = -3*h - y + 4 for h. -2 Let b be (-6)/(-8) + 138/(-24). Let i be 5/b*-3*2. Solve m = -i + 3 for m. -3 Let x be 2/9 + (-440)/36. Let r be 0*(-1 + x/(-8)). Solve -q - 2 - 1 = r for q. -3 Suppose -4*b = -16, -7*y + 3*y + 4*b = 0. Let u be y + 0*(-1)/3. Let w(k) = -k**3 - 3*k**2 - k - 3. Let o be w(-3). Solve u*l - 1 + 21 = o for l. -5 Suppose 0*q = 2*q + 18. Let p = -1 - q. Solve p*y - 3*y = 0 for y. 0 Suppose -d - 4*d = 0. Solve -2*s - 3*s = d for s. 0 Suppose 9*z - 7*z - 68 = 0. Let g be 8/(-20) + z/10. Solve -c - 2 = -g for c. 1 Suppose 2*o + 0 - 9 = i, 3*o = 3*i + 12. Let l be 34/3 - i/3. Solve -1 + l = -5*r for r. -2 Let a(i) = i**2 + 3*i + 1. Let l be a(-4). Suppose -3*o = -l + 2. Let p be o + 0 + 0 + 3. Solve -p*j = j for j. 0 Let j = 120 - 104. Solve 2 = -15*b + j*b for b. 2 Let s(h) = -2*h**2 - 18*h - 11. Let l be s(-8). Solve 3*q = -2*q - l for q. -1 Let g = -4 - -11. Let b = 16 + g. Solve 2 = 5*c - b for c. 5 Let j = 153 - 141. Solve -x + j = 3*x for x. 3 Suppose l = -2*l + 9. Solve 0 = -v - l + 2 for v. -1 Let y = -1 + 3. Let b be y/(-6)*12/(-2). Solve b*r = -0*r - 8 for r. -4 Let f(b) = -b + 7. Let y be f(6). Suppose -2*w - 2*t = 2*t + 2, -w = t + y. Let m be w*((-2)/2 - 1). Solve 0 = r - m*r + 1 for r. 1 Let j be -5*((-12)/15)/(-1). Let u be 1 - (-3 - j/2). Solve -4*m + u*m = 0 for m. 0 Let b(g) = -6*g - 3. Let h be b(-7). Suppose h = 5*q + 4*k, 4*k = 2*q - 2 - 8. Solve 3*s + 8 = -q for s. -5 Let h(d) = 9*d**2 + 23*d. Let x(a) = -5*a**2 - 12*a. Let j(p) = 4*h(p) + 7*x(p). Suppose 7*m = 8*m + 8. Let f be j(m). Solve f*z = -z for z. 0 Let d be 6/(-21) + (-4)/(-14). Solve d = -2*a + 7 + 1 for a. 4 Suppose 5*b - b = 0. Suppose -2*f + 20 = -b*f. Suppose -n - t + f = t, -3*t = -6. Solve -2*x + 0 - n = 0 for x. -3 Suppose 0 = -w + 5*o + 24, 0 = -3*w - o - 2*o. Suppose -4*p + 20 = v - 3*v, -2*v - 2 = -p. Solve -w = 2*r - p*r for r. 1 Let q(h) = h**3 - 10*h**2 + 4*h + 3. Let j(g) = g**3 - 11*g**2 + 4*g + 2. Let u(b) = -5*j(b) + 6*q(b). Let d be u(4). Solve c + c - d = 0 for c. 4 Suppose 2 = s + 3. Let n = s - -6. Solve 0 = -4*o - n - 3 for o. -2 Suppose 4 - 7 = -g. Solve 2*r = -11 + g for r. -4 Let q(p) = -2*p - 16. Let m be q(-8). Suppose m = 3*w - 8*w. Solve -5*y - 9 - 16 = w for y. -5 Let b(c) = c. Let t be b(-3). Let d = 4 + t. Solve d = -2*k + 7 for k. 3 Let g be (-1 - -3) + (-2 - -2). Suppose -3*q - 7 = g*c, q - 4 - 7 = -4*c. Suppose 2*p - 15 = -2*y - y, -y + c*p = 9. Solve -z = -y*z - 2 for z. -1 Let i = 1 - -2. Suppose 0*p + i*p = 6. Solve 7*q + 10 = p*q for q. -2 Suppose -o = 3*g + 2 + 1, 5*g = -5. Solve 2*r - 6*r + 4 = o for r. 1 Suppose 3*k - 5 + 2 = 0. Solve k = 2*w - 1 for w. 1 Let k(d) = -d - 3. Let r be k(-6). Let v(m) = m - 8. Let b be v(8). Let l(c) = -c + 3. Let x be l(b). Solve 6*z - r = x*z for z. 1 Suppose 4 = -l + 3*l, 5 = -r + 3*l. Let z = 1 + r. Solve m = -z*m for m. 0 Let d = -26 - -31. Solve d*o = 2*o - 9 for o. -3 Let z = -5 + 9. Let s(d) = -d**3 + 3*d**2 + 5*d. Let o be s(z). Suppose -o*a + 0*a = 0. Solve a = -0*p + 5*p - 25 for p. 5 Let d be (8 - 12) + -2 + 34. Suppose -y - 5*k - 9 = 0, -2*k - d - 46 = -4*y. Solve 2*j - y = -2*j for j. 4 Suppose 4*v - 6 = -2*q, -2*q + 0*q + 6 = -2*v. Let z(k) = -k + 7. Let y be z(v). Solve -y = -4*a + 9 for a. 4 Suppose 2*w = -3*w + 75. Let g(m) = -m**2 + 4*m + 2. Let t be g(4). Solve r + w = -t*r for r. -5 Let w(h) = -h**3 + 2*h**2 + 5*h - 4. Let c be w(3). Solve -c*p = 3*p + 15 for p. -3 Suppose 0 = 5*x + 5*r, -3 = -5*x + 3*r + 13. Suppose -x*i + 5*i = 0. Let h be (1 - 2)*(i + 0). Solve h = -0*o + 4*o for o. 0 Let s(k) = k**2 - 9*k + 1. Let b be s(9). Let l be b/(-4) - (-2)/8. Solve l = -z - z + 10 for z. 5 Let o(z) = -3*z + 39. Let n be o(12). Solve 4 = -n*y + y for y. -2 Let f be 50/13 - (-12)/78. Solve f*r - 6*r = 0 for r. 0 Suppose -2*g + 30 = -0*g - x, 0 = -2*g - 2*x + 30. Suppose -5*h + g = -0*h. Suppose -2*n = 5*b + 32 - 13, 5*b + 34 = h*n. Solve n*j - 4 = -j for j. 1 Suppose -a + 15 = 10. Solve a*c = -25 - 0 for c. -5 Let r be ((-10)/3)/(6/(-9)). Suppose -3*c + 3*x = x + 22, -5 = r*c + 3*x. Let f be (-17)/c - 2/8. Solve -4 = -f*o - 24 for o. -5 Let n be -1*(-8)/(32/60). Solve -n = 4*s + 1 for s. -4 Let q(z) = z**2 - z + 1. Let g be q(-2). Let s be (-6)/(-2) + 119/g. Solve 5*a - s = a for a. 5 Let z(i) be the third derivative of -i**5/60 - i**4/24 + 4*i**3 - 2*i**2. Let w be z(0). Solve 0 = 4*s + 8 - w for s. 4 Let d be 46/8 + 3/(12 + 0). Let h be 1*(-3)/(-6)*0. Solve -2*p = -h*p - d for p. 3 Let b(n) = -2*n. Let t be b(-1). Suppose -9 = -t*g + l + 2*l, 0 = -4*g + 2*l + 6. Suppose 3*k + 6 = g, 5*y - 2*k - 51 = 28. Solve 0*d - y = 3*d for d. -5 Let s be (-54)/7 - (-6)/(-21). Suppose -2*n - 70 = 5*n. Let k = s - n. Solve -2*b = -0 - k for b. 1 Let c(g) = g**2 + 4*g - 3. Let a be c(-6). Suppose 5 = -5*h + 25. Suppose -h*w = -a*w. Solve w = 6*x - 2*x for x. 0 Suppose 0 = 5*x - 2*k - 4, -5*x - k - 1 = 1. Solve 3*w - w + 10 = x for w. -5 Let x(g) = g**2 - 2*g + 3. Let h be x(2). Let i(l) = 138 - 136 + 3*l - 4*l. Let m be i(2). Solve m = h*y + y - 16 for y. 4 Suppose -z + 11 = -2*z. Suppose 0 = -i - 0*i - 7. Let p = i - z. Solve l = -p*l for l. 0 Suppose 0 = 5*w - 0*k + 4*k - 4, -5*w - 2*k = -12. Solve 8 = w*f - 2*f for f. 4 Let s be (-4)/(4 - 0) + 3. Solve -s - 3 = n for n. -5 Let d be 6*(-2)/(-12)*1. Solve 5*t - d = 4*t for t. 1 Suppose 3 = -0*x + x + k, -4*x + 3*k = -19. Solve x*g - 11 + 3 = 0 for g. 2 Let v(h) = h**2 + 5*h - 3. Let o(u) = -u**2 + u - 6. Let l be o(0). Let f be v(l). Solve -4 = f*c + 2 for c. -2 Let t(n) be the second derivative of -n**3/2 - 7*n**2 + 6*n. Let f be t(-6). Let k be (2/(-3))/((-2)/15). Solve -k*y = 6 + f for y. -2 Suppose 0 = -2*h + 10. Solve h*z + 20 = z for z. -5 Suppose 4 = n - 2*g + 3*g, -5*n + 4 = -3*g. Solve n*r + 0*r + 8 = 0 for r. -4 Suppose 0 = 3*v - t - 18, 4*t - 18 = -3*v - t. Let n be (-1)/(-3 - (-17)/v). Solve 0*j - n = 3*j for j. -2 Let q = -193 - -203. Solve -6*m = -q*m + 12 for m. 3 Suppose 10 = u + m, 0 = 4*u - 0*u + 2*m - 36. Solve 0 = -2*b + 4*b - u for b. 4 Suppose -4*d + 30 = -5*a, 0 = 5*d - a - 4*a - 40. Suppose -3*b = -5*x + d, -2*x - b - 4*b = -35. Solve -x*m - 8 = -3 for m. -1 Suppose 5 = 5*v, -2*s + 4*v + 4 = 2. Solve 0*n - s = n for n. -3 Let z(o) = o**2 + 15*o + 2. Let s be z(-15). Solve -8 + 2 = -s*g for g. 3 Let k(y) be the second derivative of -y**5/20 + y**4/12 - y**3/6 + 3*y**2/2 - 5*y. Let d be k(0). Solve -d = -n - 0 for n. 3 Suppose 0 = 4*z + k + k, -z = 3*k. Solve z + 4 = -2*x for x. -2 Let s be 4 - (2/(-8) + 3/(-4)). Solve 4*p + 3 = -s for p. -2 Suppose 5*b - 4*y - 3 = 9, 0 = -4*b - 3*y + 22. Solve -b*w = 10 + 2 for w. -3 Let i(k) = -k - 11. Let f be i(-8). Let s be f + (-2 - -8) + 13. Solve -w = -5*w + s for w. 4 Let g(j) = 2*j**2 + 4*j + 2. Let u be g(-3). Suppose -z + u = 3*z. Solve 3 = -z*b - 5 for b. -4 Let d(s) = s + 11. Let k be 5/((-10)/12) - 1. Let m be d(k). Solve -m*y - y = 0 for y. 0 Let r be 2/(2/(-3))*16/(-12). Suppose v + 20 = 4*f, -v - 14 = -f - 2*f. Solve r*x - x = -f for x. -2 Let t = -10 + 10. Suppose 5*x - 18 - 82 = 0. Solve t*s + x = 4*s for s. 5 Let r(m) = m**3 - 3*m**2 + 4*m - 3. Suppose a + c = -1, 3*a + 2*a - c = 13. Let v be r(a). Solve -i = -2 + v for i. 1 Suppose -4*p + 12 = -4*i - i, -p + 2 = -i. Let n(v) = v**2 + v + 1. Let f be n(i). Solve f = -3*k + 28 for
{ "pile_set_name": "DM Mathematics" }
by 24. 23 Calculate the remainder when 1619 is divided by 90. 89 Calculate the remainder when 1107 is divided by 42. 15 Calculate the remainder when 78 is divided by 18. 6 Calculate the remainder when 423 is divided by 136. 15 Calculate the remainder when 82 is divided by 4. 2 What is the remainder when 751 is divided by 59? 43 Calculate the remainder when 47 is divided by 10. 7 Calculate the remainder when 1492 is divided by 496. 4 What is the remainder when 162 is divided by 39? 6 What is the remainder when 33 is divided by 4? 1 Calculate the remainder when 484 is divided by 6. 4 What is the remainder when 677 is divided by 102? 65 Calculate the remainder when 5003 is divided by 454. 9 What is the remainder when 1629 is divided by 203? 5 What is the remainder when 6320 is divided by 43? 42 What is the remainder when 649 is divided by 109? 104 Calculate the remainder when 48 is divided by 29. 19 Calculate the remainder when 361 is divided by 165. 31 What is the remainder when 966 is divided by 121? 119 What is the remainder when 323 is divided by 13? 11 What is the remainder when 274 is divided by 24? 10 Calculate the remainder when 2433 is divided by 606. 9 Calculate the remainder when 608 is divided by 123. 116 Calculate the remainder when 148 is divided by 64. 20 What is the remainder when 52 is divided by 5? 2 What is the remainder when 36788 is divided by 10? 8 Calculate the remainder when 269 is divided by 39. 35 What is the remainder when 2868 is divided by 19? 18 Calculate the remainder when 822 is divided by 260. 42 Calculate the remainder when 153 is divided by 124. 29 What is the remainder when 70 is divided by 25? 20 What is the remainder when 6426 is divided by 6422? 4 What is the remainder when 61 is divided by 57? 4 What is the remainder when 236 is divided by 16? 12 What is the remainder when 5041 is divided by 36? 1 What is the remainder when 209 is divided by 53? 50 Calculate the remainder when 1622 is divided by 792. 38 Calculate the remainder when 238 is divided by 80. 78 Calculate the remainder when 1245 is divided by 48. 45 What is the remainder when 1191 is divided by 585? 21 Calculate the remainder when 335 is divided by 26. 23 What is the remainder when 221 is divided by 8? 5 Calculate the remainder when 2006 is divided by 9. 8 What is the remainder when 1922 is divided by 639? 5 What is the remainder when 187 is divided by 28? 19 What is the remainder when 557 is divided by 261? 35 Calculate the remainder when 374 is divided by 75. 74 What is the remainder when 350 is divided by 93? 71 Calculate the remainder when 737 is divided by 62. 55 What is the remainder when 4766 is divided by 19? 16 What is the remainder when 2719 is divided by 4? 3 What is the remainder when 1017 is divided by 479? 59 Calculate the remainder when 2576 is divided by 216. 200 Calculate the remainder when 1981 is divided by 95. 81 Calculate the remainder when 331 is divided by 8. 3 What is the remainder when 265 is divided by 135? 130 Calculate the remainder when 159 is divided by 18. 15 What is the remainder when 318 is divided by 27? 21 What is the remainder when 57 is divided by 23? 11 Calculate the remainder when 11883 is divided by 21. 18 What is the remainder when 1956 is divided by 49? 45 Calculate the remainder when 55 is divided by 12. 7 Calculate the remainder when 725 is divided by 15. 5 Calculate the remainder when 581 is divided by 473. 108 Calculate the remainder when 302 is divided by 34. 30 What is the remainder when 6953 is divided by 74? 71 Calculate the remainder when 570 is divided by 90. 30 Calculate the remainder when 64174 is divided by 112. 110 Calculate the remainder when 228 is divided by 62. 42 What is the remainder when 134 is divided by 132? 2 Calculate the remainder when 1332 is divided by 103. 96 What is the remainder when 141 is divided by 24? 21 Calculate the remainder when 925 is divided by 9. 7 What is the remainder when 98 is divided by 34? 30 Calculate the remainder when 1041 is divided by 44. 29 Calculate the remainder when 21 is divided by 19. 2 What is the remainder when 783 is divided by 56? 55 Calculate the remainder when 2079 is divided by 65. 64 Calculate the remainder when 449 is divided by 286. 163 Calculate the remainder when 2260 is divided by 119. 118 What is the remainder when 77 is divided by 25? 2 What is the remainder when 400 is divided by 55? 15 Calculate the remainder when 822 is divided by 122. 90 Calculate the remainder when 97 is divided by 52. 45 Calculate the remainder when 535 is divided by 9. 4 What is the remainder when 229 is divided by 122? 107 Calculate the remainder when 34 is divided by 15. 4 What is the remainder when 3524 is divided by 58? 44 What is the remainder when 18674 is divided by 92? 90 What is the remainder when 220 is divided by 68? 16 Calculate the remainder when 348 is divided by 61. 43 What is the remainder when 3103 is divided by 45? 43 Calculate the remainder when 682 is divided by 57. 55 What is the remainder when 185 is divided by 47? 44 What is the remainder when 789 is divided by 113? 111 Calculate the remainder when 1348 is divided by 1. 0 What is the remainder when 809 is divided by 30? 29 What is the remainder when 284 is divided by 33? 20 Calculate the remainder when 49 is divided by 22. 5 What is the remainder when 267 is divided by 13? 7 Calculate the remainder when 2467 is divided by 15. 7 Calculate the remainder when 223 is divided by 28. 27 What is the remainder when 732 is divided by 201? 129 Calculate the remainder when 157 is divided by 134. 23 Calculate the remainder when 166 is divided by 19. 14 Calculate the remainder when 5360 is divided by 173. 170 What is the remainder when 25664 is divided by 29? 28 What is the remainder when 1096 is divided by 44? 40 What is the remainder when 461 is divided by 22? 21 What is the remainder when 12767 is divided by 31? 26 What is the remainder when 839 is divided by 39? 20 Calculate the remainder when 305 is divided by 9. 8 What is the remainder when 192 is divided by 17? 5 Calculate the remainder when 28 is divided by 9. 1 What is the remainder when 1144 is divided by 193? 179 What is the remainder when 31738 is divided by 17? 16 What is the remainder when 62 is divided by 37? 25 What is the remainder when 1243 is divided by 29? 25 What is the remainder when 434 is divided by 87? 86 Calculate the remainder when 204 is divided by 6. 0 Calculate the remainder when 272 is divided by 43. 14 What is the remainder when 605 is divided by 198? 11 What is the remainder when 18586 is divided by 12? 10 Calculate the remainder when 684 is divided by 333. 18 What is the remainder when 1274 is divided by 186? 158 What is the remainder when 82 is divided by 5? 2 What is the remainder when 593 is divided by 35? 33 What is the remainder when 549 is divided by 137? 1 What is the remainder when 268 is divided by 40? 28 What is the remainder when 583 is divided by 12? 7 What is the remainder when 7501 is divided by 61? 59 Calculate the remainder when 1307 is divided by 12. 11 Calculate the remainder when 10236 is divided by 94. 84 What is the remainder when 983 is divided by 978? 5 Calculate the remainder when 2788 is divided by 33. 16 What is the remainder when 873 is divided by 54? 9 What is the remainder when 297 is divided by 167? 130 What is the remainder when 7 is divided by 2? 1 Calculate the remainder when 720 is divided by 103. 102 Calculate the remainder when 10638 is divided by 112. 110 Calculate the remainder when 87 is divided by 11. 10 What is the remainder when 6862 is divided by 24? 22 What is the remainder when 88 is divided by 30? 28 What is the remainder when 454 is divided by 16? 6 What is the remainder when 9299 is divided by 31? 30 Calculate the remainder when 9 is divided by 2. 1 What is the remainder when 28 is divided by 21? 7 What is the remainder when 86 is divided by 31? 24 Calculate the remainder when 565 is divided by 21. 19 Calculate the remainder when 75 is divided by 42. 33 Calculate the remainder when 248 is divided by 124. 0 Calculate the remainder when 399 is divided by 9. 3 Calculate the remainder when 5295 is divided by 16. 15 What is the remainder when 1306 is divided by 77? 74
{ "pile_set_name": "DM Mathematics" }
**3 - 5*v + 3. Let s(i) be the second derivative of 38*i + 4 + 5/2*i**2 + 3/20*i**5 - 4/3*i**3 + 0*i**4. Calculate -5*s(a) + 8*x(a). a**3 - 1 Let b(g) = 24*g. Let k(i) = -94 + 57 - i + 37. Calculate 4*b(l) + 88*k(l). 8*l Let r(a) be the second derivative of -a**4/4 - a**3 - 27*a + 1. Suppose -5*b = 35*b - 200. Let j(t) = 3*t**2 + 7*t. Give b*j(o) + 6*r(o). -3*o**2 - o Let v(p) = -10*p - 4. Let z(i) = -140*i - 51. Let u(c) = -1260*c - 460. Let d(l) = 4*u(l) - 35*z(l). Suppose 2*y + 0 = 4, 2*y + 271 = 5*q. Give q*v(s) - 4*d(s). 10*s Let q(j) = -46 - 27 + 8*j - 12 - 2*j - 4. Let k be q(14). Let z(h) be the first derivative of -h**2 + 5*h - 1. Let w(i) = 2*i - 6. What is k*w(f) - 6*z(f)? 2*f Let i(b) = 4*b**2 - 297 - 2*b + 152 + 3*b + 147. Let u(l) be the second derivative of -3*l**4/4 - l**3/2 - 2*l**2 + 23*l. Calculate -5*i(x) - 2*u(x). -2*x**2 + x - 2 Let f(s) = -2*s**2 + 4*s. Suppose -4*u + 6 - 14 = -3*y, u - 3*y = -11. Let d be (9/(-12) - u) + (-2)/8. Let c(q) = 2*q**2 - 4*q - 1. Give d*c(m) - 3*f(m). 2*m**2 - 4*m + 2 Let b(n) = 19*n**2 - 17*n + 15. Let t(w) = -7*w**2 + 2. Give b(d) + 3*t(d). -2*d**2 - 17*d + 21 Let f(c) = -5*c**2 + 5*c + 5. Let k(q) = 13*q**2 - 10*q - 10. Let i(b) = -5*f(b) - 2*k(b). Suppose -9*l - 67 = -40. Let a(h) = 5*h + 4. What is l*a(r) - 2*i(r)? 2*r**2 - 5*r - 2 Let k(v) = 1691329*v + 1705. Let x(d) = -9949*d - 10. Calculate -2*k(g) - 341*x(g). 9951*g Let x(d) = -2*d**3 - 2*d**2 - d - 1. Let z(a) = 53*a**3 + 11*a**2 + 3*a + 8. Give -6*x(f) - z(f). -41*f**3 + f**2 + 3*f - 2 Let l(c) = -96*c**3 + 3*c**2 + 30*c + 833. Let n(i) = -25*i**3 + i**2 + 8*i + 208. What is 4*l(t) - 15*n(t)? -9*t**3 - 3*t**2 + 212 Let a(g) = -g**2 - g + 1. Suppose m - 4 = -13*d, 4*d + 4 = m + 6*d. Let k(f) = -f**2 - 2*f - 1. Determine m*a(p) - 2*k(p). -2*p**2 + 6 Let d(v) = -330*v - 22. Let x(m) = -47*m - 3. Let k(b) = 21*b**2 - 674*b - 673. Let r be k(-1). Determine r*x(s) - 3*d(s). -44*s Let b(c) = -5*c + 167850*c**3 + 3 + 9*c**2 - 167847*c**3 - 3. Let x(u) be the first derivative of -u**4/4 - 4*u**3/3 + u**2 - 7. Determine -4*b(m) - 10*x(m). -2*m**3 + 4*m**2 Let x(p) = -15*p + 165. Let s(d) = 21*d - 173. Calculate -4*s(f) - 6*x(f). 6*f - 298 Let o(s) = 32*s + 13*s + 17*s - 77*s + 16*s - s**2. Let g = -1 + 2. Let a(u) = 28*u**2 - 24*u. What is g*a(w) + 24*o(w)? 4*w**2 Let g be (-220)/((-110)/(-10)) - (0 + 2). Let q be 10/6 + 2/6. Let h(m) = -5 + 5 - m + 0. Let c(a) = -10*a. What is g*h(r) + q*c(r)? 2*r Let q(l) = 3*l - 14. Let w(n) = 2*n - 13. Let x(s) = -6*s**2 - 4*s + 5. Let r be x(0). Calculate r*w(z) - 4*q(z). -2*z - 9 Suppose -15 = -3*h - 0*h. Let s(p) = 3 + 0 - 223*p + 11*p**2 + 224*p - 1. Let b(r) = -16*r**2 - r - 3. Give h*b(i) + 7*s(i). -3*i**2 + 2*i - 1 Let y(q) = -125*q**2 + 7*q - 14. Let z(a) = 128*a**2 - 8*a + 17. Give -5*y(o) - 4*z(o). 113*o**2 - 3*o + 2 Let x(i) = 61*i**3 - 6*i**2 + 12*i + 485. Let w(s) = 134*s**3 - 13*s**2 + 26*s + 970. What is -6*w(j) + 13*x(j)? -11*j**3 + 485 Let f(i) = 83*i**3 + 1964*i**2 - 6*i. Let c(j) = 152*j**3 + 3929*j**2 - 11*j. Calculate -6*c(p) + 11*f(p). p**3 - 1970*p**2 Let m(l) = 4*l + 15. Let t(w) be the first derivative of 9*w**2/2 + 30*w + 1397. Give -13*m(u) + 6*t(u). 2*u - 15 Let z(q) = -8*q + 7. Let j(g) = -g + 1. Let i(b) = -5*j(b) + z(b). Let h(l) = -154 - 12*l - 173 + 336. Suppose 2 = -5*y + 12. Calculate y*h(w) - 9*i(w). 3*w Let a(h) = -h**3 - h - 1. Suppose -63*u - 1 = -42 - 22. Let d(b) = -13*b**3 - b**2 - 6*b - 4. Give u*d(z) - 6*a(z). -7*z**3 - z**2 + 2 Let q(k) = 247. Let o(m) = -134. Let r(b) = -11*o(b) - 6*q(b). Let a(p) = -p + 1. Give 6*a(u) + r(u). -6*u - 2 Let c(l) = -5*l**3 - 5*l + 26*l**3 + 1 - 6. Let r(s) = -11*s**3 + 2*s + 2. Let h be 18 + 2030/58 - 58. Give h*r(o) - 2*c(o). 13*o**3 Let h(j) = 8 - 1502*j - 1500*j + 2998*j + 6 - 1. Let a(b) = -11*b + 39. Determine -6*a(p) + 17*h(p). -2*p - 13 Let f(x) = -2*x**2 + x + 3. Let u(a) = 10*a**2 + 7*a - 70. Determine -6*f(r) - u(r). 2*r**2 - 13*r + 52 Let i(l) be the first derivative of 5/3*l**3 + 44 - 8*l + 0*l**2. Let g(b) = -9*b**2 + 15. Give 6*g(m) + 11*i(m). m**2 + 2 Let z(m) = -12*m**2 + 8*m. Suppose 4*b + 2 = 30. Let t = b - 4. Let i(n) = 4*n**2 - 3*n. Suppose -14*u + 4*u = 12*u - 176. Give t*z(y) + u*i(y). -4*y**2 Let w(t) = -12*t**3 + 34*t**2 - 15*t. Let n(u) = 13*u**3 - 34*u**2 + 20*u. Calculate 3*n(s) + 4*w(s). -9*s**3 + 34*s**2 Let w(f) be the third derivative of 19*f**4/24 - 5*f**3/6 + 5420*f**2. Let d(p) = -18*p + 6. Give -6*d(q) - 7*w(q). -25*q - 1 Let v(u) = -16*u**3 + 145*u**2 - 2*u + 10. Let l(p) = 32*p**3 - 291*p**2 + 4*p - 17. Determine -3*l(s) - 5*v(s). -16*s**3 + 148*s**2 - 2*s + 1 Let o(v) = -2*v**3 + 4*v**2 - 1126*v + 4. Let j(r) = 2*r**3 - 3*r**2 + 1124*r - 3. Determine 4*j(w) + 3*o(w). 2*w**3 + 1118*w Let h(r) = r**3 + 1. Let p = 27 - 48. Let y = 26 + p. Let o(z) = 6*z**3 + 7. Let c be ((-15)/(-10))/((-5)/110) - 2. Determine c*h(d) + y*o(d). -5*d**3 Let j(q) = 8*q**3 + 5*q**2 - 127*q + 22. Let b(g) = -3*g**3 - 2*g**2 + 64*g - 11. Determine -5*b(f) - 2*j(f). -f**3 - 66*f + 11 Let u(h) = -11*h**3 - 103*h**2 + 4*h - 24. Let y(n) = 18*n**3 + 172*n**2 - 7*n + 39. Let s(g) = 13*u(g) + 8*y(g). Let l(k) = k**2 - k. Give 4*l(x) - s(x). -x**3 - 33*x**2 Let m(a) = 11*a**3 + 6*a**2 - 24. Let i(w) = 2*w**3 + w**2 - w. Determine 5*i(f) - m(f). -f**3 - f**2 - 5*f + 24 Let f(v) = 4*v**2 - 10*v - 1 + 8*v - v**2. Let y(s) be the first derivative of s**3/3 - s**2/2 - s - 1268. Calculate f(u) - 4*y(u). -u**2 + 2*u + 3 Let x(d) = -78*d - 13. Let p(i) = 18*i + 34. Let z(y) = -11*y - 24. Let b(r) = 5*p(r) + 7*z(r). Give 13*b(g) + 2*x(g). 13*g Let l(o) = -3*o**2 + 4*o + 6. Let m(p) = 2*p**2 - 3*p - 5. Let w(n) = -9*n**2 + 14*n + 24. Let f(c) = 11*m(c) + 2*w(c). What is -5*f(d) - 6*l(d)? -2*d**2 + d - 1 Let x(w) = -61*w**2 + w. Let u(m) = -83*m**2 - 55. Determine -u(o) + 2*x(o). -39*o**2 + 2*o + 55 Let s(h) = -261*h**3 + h**2 + 6*h - 2. Let a(n) = -520*n**3 + 3*n**2 + 13*n - 4. What is 3*a(y) - 7*s(y)? 267*y**3 + 2*y**2 - 3*y + 2 Let l(n) = 11*n**3 + 1596*n**2 + 8*n - 8. Let m(p) = 7*p**3 + 1064*p**2 + 5*p - 5. Calculate -5*l(y) + 8*m(y). y**3 + 532*y**2 Let l be 14*2/(-8)*-2. Let f(n) = 4*n**3 - 4*n**2 + 7*n + 7. Let z(i) be the first derivative of i**4/4 - i**3/3 + i**2 + 2*i - 8. Give l*z(k) - 2*f(k). -k**3 + k**2 Let r(j) = 2*j + 22. Let h(b) be the first derivative of -b**2/2 - 6965. Determine 3*h(p) + r(p). -p + 22 Let k(b) = -103*b - 559. Let x(n) = 48*n + 282. What is 5*k(y) + 11*x(y)? 13*y + 307 Let h(d) = -13*d**3 + 11*d**2 + 697*d - 9. Let k(a) = 6*a**3 - 6*a**2 - 350*a + 5. Calculate -5*h(r) - 9*k(r). 11*r**3 - r**2 - 335*r Let v(c) = 27*c**2 - 10*c - 3. Let f(h) = 42*h**2 - 14*h - 5. Give -5*f(i) + 7*v(i). -21*i**2 + 4 Let r(o) = -20491*o. Let q(m) = -10248*m. What is -5*q(v) + 3*r(v)? -10233*v Let h(b) be the first derivative of -2*b - 1. Suppose -4*s - 3 - 5 = 0. Let k(r) = -r - 8450 + 4216 + 4228. What is s*k(f) + 5*h(f)? 2*f + 2 Let g(o) = o**2 - 1. Let b(r) = 456*r**2 + 2. Determine -b(m) + 2*g(m). -454*m**2 - 4 Let l(k) = 5*k**2 + 7*k + 3. Let i(s) = 7*s**2 + 10*s + 4. Let g(f) = 2*i(f) - 3*l(f). Let a(d) = -8*d**2 - 9*d - 9. What is 4*a(u) - 36*g(u)? 4*u**2 Let y(z) = 8*z**2 + 3*z - 8. Let d(v) = 15*v**2 + 6*v - 14. Let m(k) = 4*d(k) - 7*y(k). Let a(i) = i**2 + i. Determine -3*a(c) + m(c). c**2 Let q(f) = 3*f + 16. Let h(y) = y + 8. Give 8*h(d) - 3*q(d). -d + 16 Let u(a) = 6*a - 9. Suppose 113 + 118 = 21*z. Let r(t) = 3*t - 5. Suppose n + 2*i = -12 + 2, 2*i = -4. Determine n*u(o) + z*r(o). -3*o - 1 Let l be 15 - ((-115)/(-25) - 6/(-15)). Let k(i) = -8 + 2*i**2 + 14 - l - 7*i. Let q(m) = 3*m**2 - 8*m - 5. What is -5*k(r) + 4*q(r)? 2*r**2 + 3*r Let n(q) = -127*q**3 + 3*q - 7. Suppose -o = -3*z - 21, 3*z + 11 = 4*o - 10. Let s(v) = -63*v**3 + 2*v - 4. What is z*s(b) + 4*n(b)? -67*b**3 - 2*b Let p(q) = -q**2 - 6. Let n(j) = -3*j**2 - 23. Let i(y) = -n(y) + 4*p(y). Let o(b) = 2*b**3 - 9*b**2 - b - 10. Give 18*i(u) - 2*o(u). -4*u**3 + 2*u + 2 Let h(f) = 7*f + 1. Let z(g) = -216*g + 2. Let p be z(0). Let v(y) = -7*y - 1. Give p*h(d) + 3*v(d). -7*d - 1 Let b(j) = -j**3 - 5*j + 5. Let y = 8 + -10. Let p be (y/8 + 60/16)*2. Suppose l + p = f + 3*l, -5*f = -3*l - 22. Let h(o) = -o + 1. Give f*h(m) - b(m). m**3 Let m(w
{ "pile_set_name": "DM Mathematics" }
-20) - (-8 + 1)? 4 What is the value of (-1 - -1) + (1 - (2 + -3))? 2 3 + -4 - (3 + 0) - -4 0 What is (15 - 12 - (-1 + 13)) + 4? -5 -3 + (5 + -6 + 3 - 0) -1 -1 - 0 - (-9 + 3 - -2) 3 Evaluate -2 + (-9 - -5 - -3). -3 Evaluate -7 + (7 - 1) - (11 + -3). -9 Calculate (1 - 2) + 5 - 6. -2 Calculate 4 + -1 - 0 - 6. -3 (4 + -1 - 5) + -9 + 12 1 Calculate -2 + (3 - (-5 + (-5 - -12))). -1 (-5 - -1) + (19 - 12) 3 6 + -3 - (-13 + 11) 5 What is the value of 5 + (1 - 4) + -4 + -2? -4 What is (-7 - (2 + -16)) + -4? 3 3 + (3 - 3) + -6 + -4 -7 (-21 - -23) + -2 + 0 0 -1 - 7 - ((-5 - -7) + -14) 4 What is -4 - (-3 - (-2 + 2 + -7))? -8 Calculate -12 - -3 - (-5 + 1). -5 Calculate 0 + 5 + -12 + 10. 3 Evaluate (-4 - -2) + 2 + -2. -2 Evaluate (-8 - -10) + (3 - (3 + 7)). -5 Evaluate (8 - 5 - -4) + -2. 5 What is 4 + (-3 - 4) + -1? -4 What is 9 - 2 - (6 - (5 - 3))? 3 Evaluate -1 + 7 + -4 + 2 - 7. -3 4 - 1 - (3 + -1 + 5) -4 Evaluate 2 + -6 + -2 - (-4 + 2). -4 What is the value of -12 + 13 + (1 - 3)? -1 (3 - (1 - -2 - -4)) + 10 6 -2 + (-2 - (1 + -3)) - -2 0 Evaluate -7 - (-13 + 10) - -8. 4 (-4 - -1) + (8 - 6) - 7 -8 What is the value of 8 + 2 - ((-24 - -13) + 15)? 6 Evaluate (6 - -1) + (-47 - -41). 1 Evaluate (7 + -6 - -3) + 0 - 11. -7 -1 + 1 - (-14 + 18) -4 What is 3 + 5 + 1 + -3 + -1? 5 Calculate -1 + 0 - (11 - 7). -5 What is 1 + 3 + (15 - 14)? 5 What is 1 + -3 + (2 - 3 - 2)? -5 Calculate (-46 - -46) + (-2 - 0). -2 What is -3 + 0 + -5 + 9 + -6? -5 (6 - 1) + (-2 - 0) + 3 6 What is the value of -3 + (-37 - -38) + (0 - -2)? 0 Evaluate 7 + -7 - (2 + 0). -2 What is the value of -6 - ((-2 - 6) + -1)? 3 Calculate 1 + -9 - (-1 + -3). -4 Calculate -2 + 0 - (-3 + -1). 2 What is (5 - 11) + 2 + 2? -2 Evaluate 0 + (5 - (-1 + 4)). 2 -2 + (-4 - -7) + 0 1 Calculate -2 + (-7 + 3 - -7 - 3). -2 Calculate (73 - 82) + (6 - -1). -2 Evaluate 4 + 2 + (-4 + 5 - 1). 6 -7 - -10 - 8 - -5 0 What is the value of 1 + 2 - (-6 + 1 + 8)? 0 Calculate -6 + 2 - (10 + (-3 - 8)). -3 Evaluate 3 + (-9 - 0) + 1 + 2. -3 Calculate 0 - (-3 - -4 - -1). -2 What is (3 + -1 - (2 + -3)) + -6? -3 What is -1 + (2 - 1) + -3? -3 What is -4 + (4 - 3 - -5)? 2 What is the value of (-9 + 4 - -4) + 8 - 3? 4 What is the value of (-13 - -8 - 4) + 1? -8 What is 6 - ((2 - -4) + 0)? 0 What is -1 - (3 - -1 - 5)? 0 Evaluate 0 - (-8 - -8) - -3. 3 What is the value of 1 - (-3 + (3 - 0)) - 2? -1 Calculate -8 - (4 - 10) - (-2 - -6). -6 Calculate 5 + (-6 - (-3 + -2)). 4 What is the value of -8 - -23 - (-5 - -12)? 8 Evaluate (3 - 8 - -1) + -2 + 7. 1 Calculate (32 - 31 - (1 + -4)) + -3. 1 What is -3 - -1 - (-2 + (-9 - -2))? 7 Evaluate 0 + -5 - (-5 - 0) - 1. -1 What is 7 - -1 - (3 - (2 - 2))? 5 What is (-8 - -7 - 9) + (7 - 2)? -5 Calculate -2 + 9 - (0 - -2) - 0. 5 Evaluate 0 + 2 + (-1 - 4). -3 4 - (6 - 4 - (6 - 5)) 3 (-3 - (0 - -4 - 5)) + 1 -1 What is the value of -3 + -6 - (0 + 8 + -16)? -1 Calculate -3 + -3 + (-1 + 4 - -1). -2 What is the value of -6 - -7 - (5 + 1 + -1)? -4 Evaluate (0 - -3) + (13 - 8 - 15). -7 What is the value of (-3 - -3) + -3 + (0 - 1)? -4 Calculate 3 + (0 - 6) + 1. -2 Evaluate -13 - -7 - 5 - 0. -11 Evaluate -8 - (-5 + 3 + (1 - 4)). -3 -2 + (-2 + 2 - -5 - 4) -1 4 + (8 - 2) - 16 -6 What is the value of -3 - 3 - (-7 + (2 - -5))? -6 Calculate (1 - -2) + 3 + (8 - 9). 5 (-21 - (17 - 38)) + (0 - -3) 3 Calculate 1 + -12 - (29 + -49 + 17). -8 What is the value of -6 + 1 + (7 - (4 + -6))? 4 What is the value of 5 - (2 - -7) - -1? -3 What is 19 - 18 - (-1 - -6) - -4? 0 Evaluate -1 + (0 - 1 - -5). 3 -8 + 14 - (-2 - -7) 1 Evaluate -27 + 35 + (0 - 6). 2 Evaluate -1 + -10 + (10 - (-3 + 8)). -6 Evaluate -2 - (-3 + 9 + -3). -5 Evaluate (5 - 12 - -6) + (-4 - 1). -6 Calculate 10 + -8 - (-3 - (-3 - -2)). 4 4 - (-4 - -12) - -8 4 What is 0 + (16 - 12) + -5 + 2? 1 Calculate (-6 - -7) + (-4 - 0). -3 -1 + (-4 - -1) + 0 + 3 -1 Evaluate 13 - (-3 + (4 - -5)). 7 Evaluate 16 + -2 + 4 + -12. 6 Evaluate 0 + (-2 - -5) - (6 + -3). 0 (-2 - (-1 - 0)) + 2 1 What is the value of -4 + 4 + 0 + -3? -3 What is 2 + 4 + -2 + (-5 - -4)? 3 Calculate (22 - 5) + -10 + 1 + -17. -9 (-10 - -14 - (2 - 2)) + -5 -1 What is 10 + -14 - (-1 + -1) - 1? -3 Evaluate 0 - 0 - (1 + -1). 0 Evaluate 2 + -1 + 1 + -2. 0 Evaluate -9 - (21 + -20 + -1 + -1). -8 Evaluate (3 - (-2 - 0 - -4)) + 3. 4 Evaluate 4 + (-4 - (-3 - 2 - -3)). 2 6 - (6 + -3) - 7 -4 What is the value of (-5 - (2 - (7 + -5))) + -1? -6 Calculate -9 - (-12 - (-1 + -4)). -2 What is 6 + 4 + (-1 - 14)? -5 Evaluate (-1 - 2) + 5 - 7. -5 Evaluate -1 + (0 - 0) + 0 + 4. 3 Evaluate 4 + (-2 - -1 - 1). 2 Calculate 7 + -16 + 9 - (2 + 1). -3 (4 - 1) + -7 - -12 8 -8 + (3 - (-20 - -10)) 5 Evaluate 2 + -1 + (-30 - -30). 1 Evaluate -9 - (-3 + -3 + 2) - -2. -3 Evaluate (-18 - (4 + -11)) + (-8 - -13). -6 Evaluate -5 - (6 - (12 - 6)). -5 -2 + 7 + -8 + 6 3 What is 3 - -4 - (4 + 6)? -3 Evaluate 5 - (-1 - -5 - -1). 0 -5 + (-7 - -5) + 8 - 7 -6 What is the value of (-6 - (-13 + 20)) + 7 + 0? -6 What is 9 - (2 + (11 - 4))? 0 What is -2 + (9 - -3) + -9 + 4? 5 -4 + 0 + 6 + (-4 - 0) -2 What is -11 + 3 + -2 + 5? -5 Calculate 3 - (0 - 1) - (-28 + 28). 4 What is (-13 - -5 - -7) + 3? 2 Evaluate -1 + 6 + (-22 - -22). 5 What is the value of (-5 - -4) + 5 + -3? 1 What is the value of 9 + (6 - 17) + 4? 2 -2 + (3 - (-2 - -6)) -3 What is the value of 5 + -7 + 7 + -4? 1 What is the value of -5 - (-6 - 7) - 3? 5 1 - (-8 + 6 - (-1 + 1)) 3 Calculate 3 + 13 + -13 + 0 + 1. 4 Evaluate 1 + 5 + (-2 + 0 - 1). 3 Calculate 2 - 0 - (13 - 12). 1 -2 + 0 - 3 - 0 -5 What is the value of 5 - (3 + -11 + 9)? 4 Evaluate 8 + (1 - (3 + 5)) + 2. 3 Calculate 4 + 1 + -8 + (8 - 2). 3 -8 - (5 - 0 - 5) -8 -9 + 1 + (3 - 0) -5 Calculate 9 + -8 + (2 - 2). 1 Evaluate (-2 - -8) + 3 + 7 + -9. 7 Calculate 0 + 1 - (12 + -3 + -1). -7 What is -3 + 4 - (4 + 2)? -5 What is the value of 3 - (4 - -1) - 3? -5 Evaluate 1 + -5 + -5 + 4 + 3. -2 Evaluate (-16 - (-5 + -9)) + (1 - -3). 2 Calculate 3 - 8 - -6 - (-2 - -2). 1 Calculate -2 - (7 + -3) - (-8 + 9). -7 Evaluate (-6 - -5) + 23 + -13. 9 Calculate -3 + 4 + 3 + -16 + 12. 0 (52 - 46) + -2 + -1 3 What is -1 + -12 - (1 - 9)? -5 What is the value of -4 - (-2 + (6 + -1 - 7))? 0 What is the value of 4 + (-1 - 15) + 5? -7 Calculate -3 + 0 - -2 - (7 - 2). -6 Evaluate -7 - (-1 + -1) - 5. -10 -10 + (10 - -1) + 0 1 Calculate 2 + (-10 - (-3 + -2)). -3 -1 - ((22 - 19) + (0 - 1)) -3 What is the value of 4 + 1 + -3 + 2? 4 24 - 13 - (-1 - 2 - -8) 6 Calculate -2 + 0 + 3 - 6. -5 Calculate -11 - -6 - (-6 + 1) - 5. -5 -13 + 18 - (0 + 7) -2 Evaluate (0 - -1 - 6) + 135 + -127. 3 What is the value of 1 + -3 + (-8 - -6)? -4 Evaluate 1 + -3 + 3 - (-118 - -115). 4 What is the value of 2 - 3 - 2 - -3 - 0? 0 What is (-7 - -11) + (1 + -1 - -1)? 5 -2 + (4 - 6) + 5 - 2 -1 Calculate -13 + 0 + 16 - -6. 9 What is the value of 2 + (3 - (-4 - -7))? 2 What is the value of (10 - 23 - -10) + -5? -8 What is the value of (-1 - 0) + (6 - 2)? 3 What is (0 + 1 - -4) + -6? -1 What is -35 + 33 - (-7 + 2 + 0)? 3 What is 1 + (1 + 0 - -1) - 1? 2 What is -4 + 3 + -3 - -2? -2 Calculate 8 + -8 - (-1 + 6). -5 What is the value of -5 + 9 + -12 + 8? 0 What is -14 + 0 - (-35 + (-10 - -37))? -6 Calculate 6 + 5 + -4 - (-2 + 4). 5 What is -9 - (-7 + (11 - 6))? -7 Evaluate -3 - (-4 + 4 + 1). -4 Calculate -3 + (-1 - 3 - (-8 - -6)). -5 Calculate (-2 - -2) + (-3 - (-2 + 0)). -1 What is (2 - (3 + -5)) + -6 + -5? -7 4 - 8 - (-4 + -1) 1 (4 + -4 - 3) + 0 + 4 1 What is 16 + 1 - (-56 - -68)? 5 What is the value of 0 + 2 + (-7 - -4) + -3? -4 Evaluate 0 - (2 - (3 - 0)). 1 Evaluate 55 - 59 - (-1 + (0 - 1)). -2 Evaluate 1 + (-2 - 2 - -1) - -9. 7 What is -1 - -2 - (5 - 4)? 0 Calculate -1 - (0 - -4) - (-27 + 31). -9 Evaluate (-2 - 1) + 51 + -47. 1 What is -11 - (-8 + (5 - 4))? -4 (-10 + 1 - -5) + (7 - -1) 4 What is the value of -10 - (2 + 4 + -10)? -6 What is -2 + (-14 - -20) - (0 - 1)? 5 Calculate 4 - 4 - (4 - (-6 - -5)). -5 Evaluate 0 - 15 - -10 - -2. -3 7 - (-4 - -6) - 2 3 -11 + (-1 - (-4 - 8)) 0 What is (-4 + -3 + 6 - -2) + -1? 0 Calculate -4 + 3 + (-3 - -4). 0 What is the value of -10 + 4 + (-8 - -14)? 0 (-7 - -7) + (1 - 0) + -1 0 What is the value of -1 - (0 + (6 - (-5 - -10)))? -2 What is (-6 + 3 - -2) + (1 - 3)? -3 -2 - (-13 - (7 - 13)) 5 What is the value of 1 + -1 + 2 + (10 - 8)? 4 2 + 1 + (27 - 30) 0 -1 + -8 + (-2
{ "pile_set_name": "DM Mathematics" }
Simplify (((n/(((n/(n**2/n)*n)/n)/n)*n)/n**(2/3))/(((n/n**(-1/11)*n)/n)/n**(-2)))/((n**(-5)*n**(6/11)/n*n)/((n/(n**(3/8)/n))/n**(-4/7))) assuming n is positive. n**(10891/1848) Simplify (((l/(l**(-38)/l))/(l*l**(-31)*l))**(2/15))**(7/3) assuming l is positive. l**(322/15) Simplify ((b*b**1)**34*(b**(-1)/b)**(16/3))/(((b/(b*b/(b/(((b/b**2*b)/b)/b))*b*b))/(b/(b*b**3)))/((b/b**(2/11))/b**5)) assuming b is positive. b**(1655/33) Simplify (h/h**(-3)*h**2*h/(h**(-2/23)/h)*h**(1/2))/(h*((h/h**(1/16))/h)/h*h**(6/7)*h)**(-49) assuming h is positive. h**(35521/368) Simplify (c**19/c**26*((c*(c/c**(3/4))/c*c)/c)**49)**(-43) assuming c is positive. c**(-903/4) Simplify ((s*s/s**(-3/4))/(s*s**(-4)))**(-11)/((s/(s*s**4))/s**(4/7)*s**(-1/6)*s**7*s*s) assuming s is positive. s**(-5671/84) Simplify ((o*o**(-2))/(o/o**2*o)*o**(2/3)*o**(-4))/((o**(-3)/o*o*o*o**(-7))/(o/(o**(-1)*o))**23) assuming o is positive. o**(83/3) Simplify ((y/(y/y**(-7)))/y**(-5/4))**(36/5)/((y**(-2/3)/(y**6*y))/(y**(-6)*y*y**(-1/3)*y)) assuming y is positive. y**(-571/15) Simplify ((n**(1/5)*n**3*n*n*n)/(((n**(-7)/n)/n)/n**(-3/5)))**22 assuming n is positive. n**(1606/5) Simplify ((((w*w/(w/(w/(w*w**(-1)*w))))**47)**(-46))**(-2/3))**(-19) assuming w is positive. w**(-82156/3) Simplify (v**1)**(4/5)/((v*v**(-6)*v)/(v*v**(1/4)*v*v))*v**3/((v*v**0)/v)*(v/(v/v**(-1)))**(2/41) assuming v is positive. v**(9021/820) Simplify ((u**15/u*u**5)/((u**(-32)/u)/(u*u*u*u**(-12))))**42 assuming u is positive. u**1806 Simplify ((g**(-2)*g*g)/g*g**(1/2))**(-8)/(g**(-1/5)*g*g**(-1/5)*(g/(g/(g/(g**(-3)*g))))/g*g/((g**(1/7)/g)/g)) assuming g is positive. g**(-51/35) Simplify ((m**(1/2)*m/m**4)/(m/m**(1/2)*m**4*m))/(m**(-5)/(m/(m**(1/3)*m)*m))**(-1/2) assuming m is positive. m**(-65/6) Simplify ((k**(-2/3))**(3/25)/(k**(2/11)/(k*k**(-30))))**(2/37) assuming k is positive. k**(-16094/10175) Simplify ((r**(-1)*r)/r)/(r/(r**(-9)*r))*(r**0)**(-2/23)*r**(-2/17)*r*r*r/(r*r**(3/5)*r*r*r*r*r)*(r*r**(2/9))/r**(-2/9) assuming r is positive. r**(-9389/765) Simplify ((p*p**(1/2)*p)/(((p**(-6/7)*p)/p)/p))/(p**2)**(22/5)*((p*p**(1/4)/p)**(8/5))**49 assuming p is positive. p**(1061/70) Simplify (k**2/(k/k**3*k))**3*(k**0*k**5)/(k**(-2/19)/(k*(k*k**(-4/9))/k*k)) assuming k is positive. k**(2678/171) Simplify ((((x/(x*x/x**(-5))*x)/x**14)/(x**8/(x*x/(x/(x**7*x)))))**(-2/177))**(-15) assuming x is positive. x**(-180/59) Simplify (q**(-1/11)/q*q*q**7*q**2*(((q**0*q)/q)/q)/q)/(q/(q/q**(-6))*(q/q**8)/q)**34 assuming q is positive. q**(5312/11) Simplify ((p*(p/p**(2/7))/p)**(-13/2))**(-3/28)*((((p/p**(1/4))/p)/p)/p)**39*(p/(p/((p/p**(-2/7))/p)))**15 assuming p is positive. p**(-32523/392) Simplify (i**25*i**(-2/7))/(i*i/(i/i**(-4/5))*i**(-24/11)*i*i) assuming i is positive. i**(9508/385) Simplify ((p/(p/(p/(p*p**(-2)))*p))**(1/25)*(p*p**(3/11))/(p**(2/25)*p))/((p/((p**(-3/5)/p)/p)*p**3)/(p*p*p**(-1))**(2/7)) assuming p is positive. p**(-11707/1925) Simplify (a**(3/8))**(37/2)/(a**(-1/7)*(a**(-17)*a)/a) assuming a is positive. a**(2697/112) Simplify ((d/(d*(d*d/d**(2/7))/d))**(-8/5))**27/((d**(-2/11)/d*d/d**4)/(d**(-2/17)*d/(d/((d/(d*d*(d*d**(-6))/d))/d)))) assuming d is positive. d**(50948/1309) Simplify ((q**42/q*q)**9/(q*q/(q/(q/q**(-1/5)*q)))**(-48))**(3/5) assuming q is positive. q**(7974/25) Simplify ((r**(-1))**(-1/32))**(3/5)/((r**(-6)*r)/(r/r**(2/5)*r*r))**5 assuming r is positive. r**(6083/160) Simplify ((h/h**2)**(-45)/(h**(-2/11))**(-1/16))**(-2/47) assuming h is positive. h**(-3959/2068) Simplify ((l/(l/l**(-7))*l*l/l**2)/(l**4/((l/(l**(2/5)*l))/l)))/((l**(-1/5))**(-1/13)*(((l**(2/7)*l)/l)/l)**(-9)) assuming l is positive. l**(-8574/455) Simplify (u**(-30)/u**(-46))/((u/(u*u*u*u*u**16/u*u*u))/u**(-2/23)) assuming u is positive. u**(826/23) Simplify ((z**6)**(-5)*z**(-1/12)/((z**3/z)/z))**2 assuming z is positive. z**(-373/6) Simplify (n/n**(1/4)*n*n/(n*n/(n/(n**14/n*n*n)*n)))**(34/3)*(n/(n*n**0))/((n**(-1/4)*n)/n)*n**6*n**6 assuming n is positive. n**(-1519/12) Simplify z**(2/11)/(z**6*z*z)*(z**(-2/5))**(-6/17)*z/(z/((z/z**1)/z))*z**(2/3)/z*z*z*z*z**(-5)/z*z*z/(z/(((z*z**(2/9))/z*z)/z*z*z)*z) assuming z is positive. z**(-82367/8415) Simplify (j**(1/8)*j/(j**(-3)*j))**(6/11)/((j/(j**(-1/6)*j*j*j)*j*j**(2/9))/((j/(j/j**(2/11)))/(j/j**(-2/3)))) assuming j is positive. j**(329/396) Simplify ((y**(-10)/y)/y)**(6/7)/(y*y**(-2/41))**(-38) assuming y is positive. y**(7422/287) Simplify ((u**(2/7))**8/(u**(-2/5)*u*u)**25)/(u**1*u*u/((((u**(2/3)/u*u)/u)/u)/u)*(u**(-1/3)/u)**(4/7)) assuming u is positive. u**(-296/7) Simplify ((g*g/g**(5/4))**(-15)*g**(-16)*g*g**32)**(-20) assuming g is positive. g**(-115) Simplify (((q/q**(4/13))/(q**4*q))/((q**(-1/4)*q)/q*q*(q/(q*q**(-3/8)*q))/q))**(-20) assuming q is positive. q**(1785/26) Simplify (d*(d/(d/d**(2/5)))/d*d**0)/(d**(-1)/d**(-2/13))*((d/(d*d/(d/(d/(((d/(d**(-2/9)*d))/d)/d))))*d)/(d*d**(2/15)*d))**(39/7) assuming d is positive. d**(-28043/1365) Simplify ((z*z**(4/9)*z**(-1/3))/(z**21*z**(-4/7)))**(-37) assuming z is positive. z**(45029/63) Simplify t**3/t*t*t**(-2/13)*(t*t**(-2/5)/t)**(-2/39)*(t/(t**(2/9)/t)*(t*t**(-9)*t)/t)/((t*t**(-2))/t**(3/7)) assuming t is positive. t**(-607/315) Simplify ((v**2/v)**(3/13))**(-1/57)*(v**(-7)*v/(v*(v/v**(5/2))/v))/((v*v/v**(-4/7)*v*v*v)/v*v**(-9)) assuming v is positive. v**(-261/3458) Simplify (p**(1/42))**(-7/3)/(p*p**(2/61)*p*p/(p*p**(-1/4))) assuming p is positive. p**(-5135/2196) Simplify ((n/(n/n**(-3/11)*n*n))/n*n/n**(-8))**6*n*(n/(((n*n**(-4))/n*n)/n))/n*n*n/n**(-1/4)*n*((n*n/n**7)/n*n*n)/n**6 assuming n is positive. n**(1435/44) Simplify ((h**(1/21)/(h**(-1)/h))/(h**(-4))**(5/18))**(-43) assuming h is positive. h**(-8557/63) Simplify (b**(6/7)/b**9)**2/(b**(-3)*b**(-1))**(-21) assuming b is positive. b**(-702/7) Simplify ((p/(p/(p**(2/5)/p)))**(-10/11)/(p**(11/3)*p**14/p))**(-20) assuming p is positive. p**(10640/33) Simplify ((l**(-29)*l*l*l**31)/((l*l*l**(1/43)/l)/l*l)**(-1/9))**(16/3) assuming l is positive. l**(25472/1161) Simplify (k**(-5)/k*k**(-4/5)/k)**(-15)/((k**(-2/7))**(20/3))**25 assuming k is positive. k**(3457/21) Simplify ((m**(3/4)*m**(1/6))/(m*(m**(-1/2)*m)/m)**(-2/11))/(m**(2/15)/m*m*m**(-3)/m*(m*m**5)/(((((m/(m/m**(-5)))/m)/m)/m)/m)) assuming m is positive. m**(-6683/660) Simplify (p/p**0*p*p**(-2)*(p/p**0*p)**(-7/11))/((p**(-1/2)/(p*p/((p*p/p**(-1/7))/p)))/((p**(1/2)/p)/(p*(p/(p*p**(-1)*p))/p*p))) assuming p is positive. p**(-109/77) Simplify (j*j**(-6)*j*j*j*j*j*j**(4/7))/(j*j*j**(-2/7))**27*((j**(-2/7))**(2/83))**(-2/21) assuming j is positive. j**(-557752/12201) Simplify (u**(2/3))**(-1/4)*(u**(-1/2))**(-2)*u**(-8)/(u/u**(-6/7))*(u**(-2/3))**(3/4) assuming u is positive. u**(-200/21) Simplify ((k**(-5)/k*k*(k*k*k**(-1/4))/k)/(k**3*k**(-2)/k*k))/((k*k*k**(1/4))**(-6/11))**(-17) assuming k is positive. k**(-1149/44) Simplify (i**(-2/7))**(-3/46)*((i/(i**0/i))/i)**50*((i*i/(i/(i**6*i)))/(i/(i/(i**3/i*i))))/((i*i**0*i)/i*i)**(-1/4) assuming i is positive. i**(17877/322) Simplify ((q**(-10/9)/(q/q**(-18)))/((q**(-29/3)/q)/q**(-4/5)))**(-5/3) assuming q is positive. q**(461/27) Simplify (v**(1/2))**(-26)*v/((v**0/v)/v*v)*v**(-1/2)*(v*((v/v**(2/5)*v)/v)/v)**(-9/8)*(((v**2/v)/v)/v)/v*v*v/v**(-5) assuming v is positive. v**(-287/40) Simplify (p/(p/p**41)*p*p*p**31*(p/(p*p**(-12/7)*p))**40)**(-11/3) assuming p is positive. p**(-7898/21) Simplify (p**(-4)/p*p*p/(p/p**9))**(23/2)*(p*p**(-7/5))/(p*p/(p*p**1))*(p**(-2/5)*p)/(p**(-1/5)*p) assuming p is positive. p**(569/10) Simplify ((i**0)**(5/17))**(16/9)/((i**1/i**(-5))/(i/i**(-1)*i**(-1/9))) assuming i is positive. i**(-37/9) Simplify ((a/(a/(a*a**(-7)*a)))/a**(-2/3))**26*(a*a*(a*a**(1/3))/a*a**0)**(12/17) assuming a is positive. a**(-5662/51) Simplify (((l**(1/2)*l)**(-8)/(l/(l**(3/4)/l))**20)**(-2/3))**1 assuming l is positive. l**(74/3) Simplify ((d*(d**(-6)*d*d)/d)/(d*d*(d**(-3)/d)/d))**(2/3)*d**(-2/15)*d**(-1/3)*(d*d**(-7))/(d/d**(-3/5)) assuming d is positive. d**(-131/15) Simplify ((h**1)**(-1/4)/(h**(7/4)*h**(-3/4)))/(h**(-5)*h*h**(2/11)*h**(-2)/h*h*h**(-5)) assuming h is positive. h**(421/44) Simplify (j**(-1/4)/j*j*j**4*(j**3)**(-6/13))**(1/10) assuming j is positive. j**(123/520) Simplify ((o**(7/5)/o*o**(-1/41))/(o**(-24)/o**(-25/4)))**(37/5) assuming o i
{ "pile_set_name": "DM Mathematics" }
uence bp? 4/19 Calculate prob of sequence aa when two letters picked without replacement from {v: 2, o: 7, a: 7}. 7/40 Calculate prob of sequence vym when three letters picked without replacement from yvmm. 1/12 What is prob of sequence gzt when three letters picked without replacement from {m: 1, t: 2, o: 1, g: 2, z: 1, f: 1}? 1/84 Four letters picked without replacement from {u: 5, g: 3}. What is prob of sequence uugg? 1/14 Calculate prob of sequence pm when two letters picked without replacement from zznnmmzpaznz. 1/66 Calculate prob of sequence ee when two letters picked without replacement from lnnnaneeja. 1/45 Calculate prob of sequence kpc when three letters picked without replacement from {e: 1, c: 2, k: 2, a: 8, p: 1, g: 1}. 2/1365 Four letters picked without replacement from abbmrmbmbbbmbr. Give prob of sequence abmm. 1/286 Four letters picked without replacement from {v: 1, e: 1, i: 2, s: 1, u: 2, c: 2}. What is prob of sequence esuu? 1/1512 Four letters picked without replacement from {d: 3, u: 9}. Give prob of sequence uudu. 7/55 Two letters picked without replacement from {x: 4, a: 3}. Give prob of sequence ax. 2/7 What is prob of sequence jjj when three letters picked without replacement from {j: 2, o: 6, k: 5}? 0 Calculate prob of sequence tk when two letters picked without replacement from tutktkkykxttttk. 1/6 Two letters picked without replacement from opd. What is prob of sequence do? 1/6 Four letters picked without replacement from {i: 6, d: 8, v: 1}. Give prob of sequence ddvv. 0 Two letters picked without replacement from eeeeeddeeedeed. What is prob of sequence de? 20/91 Three letters picked without replacement from {s: 4, i: 6}. What is prob of sequence sii? 1/6 Two letters picked without replacement from {w: 2, n: 1, s: 1, i: 1}. Give prob of sequence si. 1/20 Two letters picked without replacement from ppppxppmpmpppmpp. What is prob of sequence mm? 1/40 What is prob of sequence hk when two letters picked without replacement from {k: 5, f: 2, j: 1, h: 3, t: 6}? 15/272 Two letters picked without replacement from vvssv. What is prob of sequence vs? 3/10 Four letters picked without replacement from {f: 1, y: 5, o: 2, g: 6, i: 3}. Give prob of sequence oggf. 1/952 Two letters picked without replacement from kqnn. What is prob of sequence nq? 1/6 Four letters picked without replacement from cvwuvwuuuwcxwv. Give prob of sequence ccuv. 1/1001 Two letters picked without replacement from urbip. Give prob of sequence ir. 1/20 Calculate prob of sequence ssss when four letters picked without replacement from {s: 5}. 1 What is prob of sequence hl when two letters picked without replacement from ltlthlttllh? 1/11 Two letters picked without replacement from {r: 2, e: 2}. Give prob of sequence rr. 1/6 What is prob of sequence ee when two letters picked without replacement from oheehooe? 3/28 Calculate prob of sequence ssss when four letters picked without replacement from {l: 2, s: 11}. 6/13 Calculate prob of sequence eakj when four letters picked without replacement from {a: 1, e: 1, j: 1, k: 2}. 1/60 Two letters picked without replacement from {u: 9, f: 7}. Give prob of sequence uf. 21/80 Calculate prob of sequence pjc when three letters picked without replacement from {j: 1, p: 1, c: 1}. 1/6 Calculate prob of sequence nvmv when four letters picked without replacement from qsvndmsv. 1/840 What is prob of sequence eont when four letters picked without replacement from septpno? 1/840 Calculate prob of sequence mn when two letters picked without replacement from msnslsmfsllnsslsnmm. 2/57 Calculate prob of sequence ih when two letters picked without replacement from nnpnhhhnpnnpnnnnhii. 4/171 Four letters picked without replacement from {m: 1, q: 4, x: 5, i: 2, w: 7, k: 1}. Give prob of sequence wmqk. 7/29070 What is prob of sequence bp when two letters picked without replacement from {b: 1, z: 10, p: 9}? 9/380 Two letters picked without replacement from {a: 2, c: 5, w: 1, y: 3, r: 1, j: 1}. What is prob of sequence ay? 1/26 Four letters picked without replacement from zrkkbtqr. What is prob of sequence bkrr? 1/420 Two letters picked without replacement from {l: 1, n: 2, s: 2, z: 1, v: 4}. Give prob of sequence zs. 1/45 Four letters picked without replacement from {j: 4, b: 10}. What is prob of sequence jjjb? 10/1001 Two letters picked without replacement from qaantpgt. What is prob of sequence ap? 1/28 Four letters picked without replacement from qdqsqyy. Give prob of sequence sqdy. 1/140 What is prob of sequence scp when three letters picked without replacement from {j: 2, c: 1, v: 1, s: 1, p: 1, l: 1}? 1/210 Calculate prob of sequence hhk when three letters picked without replacement from hwkhnwwwktwkw. 1/286 Four letters picked without replacement from {b: 1, d: 1, u: 11}. What is prob of sequence dbuu? 1/156 Calculate prob of sequence xxhh when four letters picked without replacement from {h: 4, x: 5, o: 2}. 1/33 Calculate prob of sequence ms when two letters picked without replacement from wsswmsmmmwmwmlslsm. 35/306 Calculate prob of sequence qqdq when four letters picked without replacement from dqqqqdqqdddqqdqd. 21/260 What is prob of sequence kbwy when four letters picked without replacement from bwzyk? 1/120 Two letters picked without replacement from wwtwwwww. What is prob of sequence tw? 1/8 Calculate prob of sequence itml when four letters picked without replacement from {m: 1, t: 4, l: 2, i: 3}. 1/210 Calculate prob of sequence suu when three letters picked without replacement from {u: 10, s: 4}. 15/91 Calculate prob of sequence hx when two letters picked without replacement from xbwpbbhxwbxph. 1/26 Two letters picked without replacement from jujjdadpndun. Give prob of sequence pa. 1/132 What is prob of sequence mxn when three letters picked without replacement from {x: 2, b: 1, n: 1, m: 1, c: 5}? 1/360 Three letters picked without replacement from {u: 1, x: 2, q: 4, r: 9}. Give prob of sequence xux. 1/1680 Calculate prob of sequence wbbw when four letters picked without replacement from {b: 7, i: 1, c: 4, w: 8}. 98/4845 What is prob of sequence hp when two letters picked without replacement from {z: 3, s: 1, p: 2, a: 3, w: 1, h: 1}? 1/55 Two letters picked without replacement from qhqqqhhqhqhqhqqhhqhh. Give prob of sequence hq. 5/19 Calculate prob of sequence zi when two letters picked without replacement from kikksoioiokiz. 1/39 Two letters picked without replacement from {i: 3}. Give prob of sequence ii. 1 Three letters picked without replacement from {m: 1, w: 4, u: 2, v: 1, z: 2}. Give prob of sequence uuw. 1/90 Three letters picked without replacement from ppppcrpprrcppppr. What is prob of sequence crp? 1/42 What is prob of sequence lr when two letters picked without replacement from aallfraaraallllffd? 2/51 What is prob of sequence ici when three letters picked without replacement from {i: 5, z: 8, c: 3}? 1/56 Three letters picked without replacement from {a: 1, o: 1, x: 2, r: 2}. Give prob of sequence oro. 0 Three letters picked without replacement from hhhheeexxh. What is prob of sequence hxh? 1/18 What is prob of sequence zsiz when four letters picked without replacement from pzzzszzppdzpi? 1/572 What is prob of sequence xuvt when four letters picked without replacement from {z: 2, a: 2, u: 1, x: 1, t: 4, v: 4}? 2/3003 Four letters picked without replacement from {e: 1, z: 1, r: 2, x: 4}. Give prob of sequence ezze. 0 Three letters picked without replacement from ccccqcccccsccc. Give prob of sequence csc. 11/182 Four letters picked without replacement from {j: 9}. Give prob of sequence jjjj. 1 Two letters picked without replacement from eeeeevieeieeieeve. Give prob of sequence ee. 33/68 Three letters picked without replacement from lplppppllvsf. Give prob of sequence slp. 1/66 What is prob of sequence ufft when four letters picked without replacement from tssistiftuiittft? 1/3640 Three letters picked without replacement from {z: 1, x: 2, w: 13, a: 1}. What is prob of sequence wza? 13/4080 Two letters picked without replacement from pptptptmmmp. Give prob of sequence tp. 3/22 Calculate prob of sequence bbsb when four letters picked without replacement from ssbbbb. 2/15 Four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
-2)/12). Suppose -18 + g = -2*j. What is the units digit of m(j)? 5 What is the thousands digit of ((-344)/(-10))/((-37)/(63270/(-12)))? 4 Let p(w) be the second derivative of -7/2*w**2 + 11/3*w**3 + 0 + 2*w. What is the units digit of p(2)? 7 Let n(z) = -95*z + 98. What is the hundreds digit of n(-14)? 4 Let c(j) = j**3 - 5*j**2 + j. Let n be c(3). Let w(g) = g**2 + 12*g + 9. What is the tens digit of w(n)? 5 Let a = 2 + 2. Let k be 1*a*95/76. Suppose -126 = -k*x + 39. What is the units digit of x? 3 Suppose 0 = -5*h - 3*c - 0*c + 817, 4*h = c + 657. Suppose 2*a - h = -34. Let o = a - 40. What is the units digit of o? 5 Let k(o) = 4*o**2 + 15*o - 2. What is the hundreds digit of k(-18)? 0 Let p(s) = -s + 9. Let m be p(8). Let d be m/(-6) + (-1)/(-6). What is the units digit of (-2 + (d - -18))*1? 6 Suppose -204 = -4*f + 232. What is the units digit of f? 9 Let x(n) = 5 + 2*n**2 - 14 + 2*n - 1 - 2. What is the units digit of x(5)? 8 Suppose 7*p - 25*p + 18342 = 0. What is the tens digit of p? 1 Let k = -26 + 94. Suppose -k = -6*j + 412. What is the units digit of j? 0 Let t(w) = w**2 + w + 1. Let r(u) = -7*u**2 - 61*u - 24. Let o(b) = r(b) + 4*t(b). What is the hundreds digit of o(-14)? 1 Suppose 0*d = 4*d + 4. Let r be d + 7 + 2 + -4. Suppose 4*s + 20 = 2*f, -2*f - r*s = -f + 14. What is the units digit of f? 2 Let v = 2324 - -435. What is the units digit of v? 9 Let z = -1 - -3. Suppose -z*j + 110 = -4*g, 9*g - 4*g + 5 = 0. Let m = 90 - j. What is the tens digit of m? 3 Let c(d) be the second derivative of d**6/40 - d**5/60 - d**2 - 5*d. Let k(i) be the first derivative of c(i). What is the units digit of k(1)? 2 Let b(t) = 4*t**2 - 6*t + 5. Suppose -13*n = -16*n + 6. What is the units digit of b(n)? 9 Let z be (2*2 - 1) + -2. Let x be (-234)/(-57) + (-30)/285. Suppose 0 = 4*q - x*l, -2*l = -3 + z. What is the units digit of q? 1 Let d = -445 + 725. What is the hundreds digit of d? 2 Let i be 4 + 2*(-5)/(-10). Suppose i*a = -2*v - 6, -3*a = 2*v - a - 6. Suppose -v*o + 3*o + 216 = 0. What is the units digit of o? 4 Suppose q + q = 1856. What is the tens digit of q? 2 Let j(g) = -g + 8. Let f be (-81)/(-6)*(-4)/(-6). Let z be j(f). Let l = 11 - z. What is the units digit of l? 2 What is the hundreds digit of 15941/3 - (0 + 4/(-12))? 3 Let s(d) = -d**3 - 10*d**2 - 10*d - 9. Let t be s(-9). Suppose -32 = -3*k - k + 4*u, t = k - 5*u. What is the tens digit of 2/k - 447/(-15)? 3 Let j(b) = -5*b**2 + 2*b**2 - 4*b + b + 8*b**2. What is the tens digit of j(-4)? 9 Let m(l) = l - 1. Let v = 89 - 29. Suppose -3*p - 2*p = -v. What is the tens digit of m(p)? 1 Let l(g) = 28*g + 44 - 20 - 34. What is the tens digit of l(4)? 0 Let y = -27 - -28. What is the tens digit of -4*(-21*y - -3)? 7 Suppose -202*a = 4*j - 200*a - 4354, j + 5*a = 1111. What is the tens digit of j? 8 Suppose -5*o + 15 = 2*a, -2*o - 6*a + 6 = -a. Let w(g) = 3*g**2 + 0*g**2 - g**2 - 4 + o*g - 2*g. What is the units digit of w(4)? 2 Let x = -19 + 24. Suppose 5*u - 503 + x = -2*h, -4*h = -16. What is the tens digit of u? 9 Let a be (-31*4/(-4))/(-1). Let c = a + -8. What is the units digit of c*(24/(-9))/4? 6 Let n(z) = -21*z - 25. What is the tens digit of n(-28)? 6 Let a(n) be the second derivative of n**5/15 - 7*n**4/12 - 5*n**3/3 - 11*n. Let h(d) be the second derivative of a(d). What is the tens digit of h(8)? 5 Suppose -2*j = 2*j + 4*o - 4, -3*j + 2*o + 18 = 0. Suppose 2*s - 744 = -j*q, 5*q - 3*s = s + 904. What is the units digit of q? 4 Let w be 6/14 - 11/(-7). Suppose -i + w*g = -4*i + 26, -4*i + g + 20 = 0. What is the tens digit of (-88)/i*3/(-2)? 2 Suppose 30 - 10 = 4*r. Suppose r*q + 4238 = 18*q. What is the hundreds digit of q? 3 Let r = -3216 + 6458. What is the thousands digit of r? 3 What is the units digit of (18520/(-120))/(2/(-6))? 3 Let u(f) = -194*f + 13. Let z(o) = -98*o + 6. Let a(i) = 4*u(i) - 7*z(i). What is the hundreds digit of a(-1)? 1 What is the units digit of (-3 + 1 - 12)*-41? 4 Let f(t) = -5*t**3 + 2*t. What is the units digit of f(-3)? 9 Suppose -i = -4*n - 6*i - 1, i + 11 = n. Let k be n/4 - 11/(-22). Suppose -27 = -g + k. What is the tens digit of g? 2 Let l = -1390 - -2213. What is the units digit of l? 3 Let q = -1766 - -2691. What is the tens digit of q? 2 Let k(n) = -2*n**3 - 5*n**2 + 5*n + 3. Let y be k(-3). Let s be (-322)/y + (-4)/12. Let f = -70 + s. What is the units digit of f? 7 Let g(y) be the second derivative of -145*y**3 - 8*y. Let o(z) = -13*z. Let j(m) = 2*g(m) - 135*o(m). What is the tens digit of j(1)? 1 What is the thousands digit of (-9)/3 + 0 - -1420? 1 Suppose 0 = 8*s - 12*s + 12. Suppose 60 = -i - 2*x, 0*i - s*i - 148 = -2*x. Let t = i + 82. What is the tens digit of t? 3 Let y(s) be the first derivative of 1/2*s**2 + 7 - 2*s. What is the tens digit of y(14)? 1 Let g(z) be the first derivative of z**4/4 - 2*z**3 - z**2/2 + 9*z + 12. What is the tens digit of g(7)? 5 Let z be 241 - (12/(-3) + 1). Let v = -156 + z. What is the tens digit of v? 8 Suppose -y + 11 = 3*t - 2, -t - 5 = -2*y. Suppose -5*v = l - 0*v - 32, -3*v = -y*l + 128. What is the units digit of l? 2 Let x(v) be the first derivative of v**3/3 - 7*v**2/2 + 6*v - 5. Let d be x(7). Suppose -d*q + 24 = -3*q. What is the units digit of q? 8 Let q(n) = n**3 - 3*n**3 - 4*n**3 - n**2 + 7*n**3 + 140. Let j be q(0). Let r = j - 76. What is the units digit of r? 4 Let l = -4 - -10. Let k be ((-195)/6)/(l/(-12)). Suppose 3*i - f - f = 95, k = 2*i - 3*f. What is the tens digit of i? 3 Let x be (-1 + 11 - 2) + -1. Let y(j) = 4*j + 22. What is the tens digit of y(x)? 5 Let k(y) be the first derivative of y**2 + y - 7. Let l be k(1). Suppose 2*i + l*d = i + 45, -261 = -5*i + 3*d. What is the tens digit of i? 5 Let y(g) = 2*g**2 + 9*g - 4. Let x be y(6). Suppose 6*h - x = 448. What is the units digit of h? 5 Suppose 18777 = 40*f - 7*f. What is the hundreds digit of f? 5 Let p(a) = a**2 + a - 6. Let t be p(2). Suppose -y = -t*y - 230. What is the hundreds digit of y? 2 Let h be ((-2)/(-6) + -1)*-3. Suppose -5*k = 25, 5*a + k = h*k + 25. Suppose -5*o + 2 = a*i, -2*i - 3*i + 19 = -2*o. What is the units digit of i? 3 Let c(g) = 1 + 0*g + 3 + 8*g. Suppose i + 2*n - 18 = -4*i, 0 = -4*i + 4*n + 20. What is the units digit of c(i)? 6 What is the hundreds digit of (-1)/11 + (462168/(-44))/(-9)? 1 What is the tens digit of (-3)/(-2)*2020/15? 0 Suppose 0 = 9*v - 997 - 1595. Let j = 416 - v. What is the units digit of j? 8 Let m be 4/4 - (0 - 3). Suppose -4*s + 36 = m*j, 3*j + 0*s - 23 = s. What is the tens digit of (-6)/(-3)*52/j? 1 Let s(c) = -147*c + 1 + 149*c + 4. Let f(i) = i**2 - 7*i + 9. Let r be f(7). What is the units digit of s(r)? 3 Let w = 9 - 9. Suppose w = -6*j + 7*j - 142. What is the tens digit of j? 4 Let w = 4135 + -2457. What is the tens digit of w? 7 Let g be 23/7 - (-10)/(-35). Suppose 0*r - 3*r + 2*n + 10 = 0, 3*r - 9 = g*n. Suppose -k = -r - 0. What is the units digit of k? 4 Let z = -4038 - -7762. What is the units digit of z? 4 Suppose 6*g - 48 = 4*g - j, -4*g = -2*j - 88. Suppose -4*o - 2*h - h + g = 0, -5*o = -2*h. What is the units digit of o? 2 Let s(a) = -25*a**2 + 1. Let t be s(-1). Let d be ((-1)/(-3))/(2/t). Let q = 35 + d. What is the units digit of q? 1 Suppose -4*v + 607 = -1389. What is the hundreds digit of v? 4 Let b = 1725 - 1078. What is the units digit of b? 7 Let w = -111 - -244. Suppose -4*y + w + 79 = 0. What is the units digit of y? 3 Let c(r) be the first derivative of -112*r**2 - 10*r + 45. What is the units digit of c(-1)? 4 Let h be 8/(-3)*18/(-12). Suppose h*n = 4*w - 33 + 117, -2*n = 3*w - 17. What is the tens digit of n? 1 Let t = -13 - -15. What is the units digit of 640/25 + t/5? 6 Let h(r) = -r**3 + 7*r**2 + 4*r + 8. Let p be h(7). Let x = p + -7. Suppose -l + 3*i + x = -5, -i = 3*l - 62. What is the units digit of l? 2 Suppose 4*m = -5*o + 7, o - 7 = -2*m + 2*o. Suppose x = 5*v - m*v + 6, 2*x = -2*v + 6. Let j(y) = y**3 - 3*y**2 - 5*y + 10. What is the units digit of j(x)? 6 Let b be 4/18 - 70/(-9). Suppose k = 3*k - b. Suppose p - 160 = -k*p. What is the tens digit of p? 3 Let w = -15 - -68. What is the units digit of w? 3 Let s = -718 + 1319. What is the units digit of s? 1 Suppose 0*m + 292 = 2*m - 2*g, 738 = 5*m - 3*g. What is th
{ "pile_set_name": "DM Mathematics" }
(v) = -18*v - 1. Let z(n) = -n. Calculate -d(b) + 3*z(b). 15*b + 1 Let n(p) = 4 - 4 + 14*p**2 - 8. Let m(v) = 5*v**2 - 3. Let f = -32 + 29. Give f*n(l) + 8*m(l). -2*l**2 Let g(o) = -2*o + 15. Let k(u) = -3*u + 23. Suppose 0 = j - w + 5, w - 15 = 2*j - 2. Calculate j*g(r) + 5*k(r). r - 5 Let b(g) = -240*g + 32. Let p(h) = 37*h - 5. Determine 5*b(s) + 32*p(s). -16*s Let q be 8/28 + 712/7. Suppose 4*l + 5*a - q = 0, -l = a - 8 - 18. Suppose -l = -8*t + 4*t. Let s(m) = -3*m + 4. Let d(i) = -5*i + 7. Determine t*s(w) - 4*d(w). -w Let l(s) = 8*s + 5. Let u(q) be the first derivative of -7*q**2/2 - 4*q + 5. What is 4*l(k) + 5*u(k)? -3*k Let f(s) = -2*s**2. Let h be 2*6/8*-2. Let u(r) = r**2. Determine h*f(a) - 4*u(a). 2*a**2 Let f(g) = g**2 + 4*g. Let u(x) = 2*x**2 + 9*x. Determine -5*f(c) + 2*u(c). -c**2 - 2*c Let k(y) = y**2 + 5*y + 3. Let f(v) = 0*v**2 + 1 - 23*v - v**2 - 5 + 17*v. Give 5*f(c) + 6*k(c). c**2 - 2 Let w(o) = -3*o**3 + 6*o**2. Let k(g) = -2*g**3 + 5*g**2. Calculate 6*k(z) - 5*w(z). 3*z**3 Let z(i) = -2*i - 1. Let g(l) = 4*l + 1 - 4*l + 2*l + 0*l. Let v be 5/(-2)*6/(-5). Suppose -1 + 12 = -3*s - m, 3*m = -3*s - v. What is s*g(f) - 6*z(f)? 2*f + 1 Let y(b) = 6*b + 2 + 1 + 8 + 8*b**2 + 6*b**3. Let i(r) = 3*r**2 + 13*r + 14*r + 2*r**3 + 4 - 25*r. Let m = 12 + -8. Calculate m*y(v) - 11*i(v). 2*v**3 - v**2 + 2*v Let r(o) = -3*o - 3. Let n(h) = -2*h - 1. Let x(t) = -36*t - 20. Let a(g) = 16*n(g) - x(g). Calculate -5*a(y) - 6*r(y). -2*y - 2 Let j(y) = 4*y**2 - 5*y + 9. Let c(t) = -t**2 + t - 2. Suppose 4*a + 1 - 17 = 0. Calculate a*j(n) + 18*c(n). -2*n**2 - 2*n Let w(l) = 6*l**3 - 8*l + 3. Let y be 50/6 - 3/9. Let d(r) = 1 - 3*r**3 - 4*r**3 + 3*r**3 + 5*r + 2 - 5. Determine y*d(x) + 5*w(x). -2*x**3 - 1 Let l(z) be the third derivative of -z**6/120 + z**5/60 - z**3/6 + 35*z**2. Let f(g) = -3*g**3 + 5*g**2 - 5. Give f(h) - 5*l(h). 2*h**3 Let b(w) = -9 - 5*w**2 + w + 4 - 4*w**3 - 4 + 3*w. Let u(y) = -y - 2*y**3 + 2*y - 2 - y**2 + y**3. Let j = -36 - -54. Determine j*u(x) - 4*b(x). -2*x**3 + 2*x**2 + 2*x Let y(l) = l + 3. Let c be y(4). Let t(d) = -d**3 - 6*d. Let j(i) = i**3 + 7*i. What is c*t(b) + 6*j(b)? -b**3 Let z(b) = -6*b**2 + 6*b. Let k(r) = -r**2 + r. Let s = 9 - 9. Let d(y) = -y - 1. Let g be d(s). Give g*z(p) + 5*k(p). p**2 - p Let i(k) = -5*k**2 - 2*k. Let q(n) = -n**2 - n - 1. Let v be 22/(-18) - (-2)/9. Determine v*i(w) + 2*q(w). 3*w**2 - 2 Let l(z) = -5*z**3 - 13*z**2 + 3*z - 7. Let f(h) = 2*h**3 + 6*h**2 - h + 3. What is 7*f(w) + 3*l(w)? -w**3 + 3*w**2 + 2*w Let k(a) = -3*a + 5. Let n = 21 - 18. Suppose -o - 6 = -4*x, -o + 2*x = n*x - 9. Let y(t) = -7*t + 11. Determine o*y(g) - 13*k(g). -3*g + 1 Let h(l) = 46*l - 4. Let k(b) = -645*b + 55. Give -55*h(s) - 4*k(s). 50*s Let d(h) = 4*h**2 + 7*h + 2. Let z(l) = 2*l**2 + 4*l + 1. Determine -4*d(v) + 7*z(v). -2*v**2 - 1 Let r(s) = -100. Let v(y) = -11. Let g = 132 - 77. Let c(m) = g*v(m) - 6*r(m). Let h(a) = a + 11. Determine -5*c(o) - 2*h(o). -2*o + 3 Let m(k) = 2*k**2 + 3*k. Let z(y) = y. Suppose -8*h + 12 = -4*h. Give h*z(x) - m(x). -2*x**2 Let g(b) = 3*b**3 - 5*b**2 - 5*b - 5. Let d(m) = -1 + 3 - 44*m - 46*m + 2*m**2 - m**3 + 92*m. What is 5*d(y) + 2*g(y)? y**3 Let b(r) = r**3 + 7*r**2 - 3. Let o(u) = -u**3 - 6*u**2 + 2. What is 2*b(s) + 3*o(s)? -s**3 - 4*s**2 Let g(d) = -5*d**3 + 3*d + 2. Let p(s) = 32 + 2*s - 19 - 4*s**3 - 11 + 0*s**3. What is 2*g(q) - 3*p(q)? 2*q**3 - 2 Let o(c) = -21*c + 6. Let f(v) = 295*v - 85. Calculate 6*f(t) + 85*o(t). -15*t Let d(n) = -8*n**2 - 5*n + 2. Let t(r) = 7*r**2 + 5*r - 2. Let b(q) = -3*d(q) - 4*t(q). Let h(w) = 2*w**2 + 2*w - 1. What is -2*b(i) - 5*h(i)? -2*i**2 + 1 Let s(y) = y**3 + 7*y**2 - 2. Let a(t) = 6*t**2 - 2. What is 5*a(g) - 4*s(g)? -4*g**3 + 2*g**2 - 2 Let k(d) = 8*d + 7. Let x(m) = 8*m + 8. What is 7*k(u) - 6*x(u)? 8*u + 1 Let g(y) = -11*y + 13. Let a = -20 + 26. Let r be (a/15)/(7/(-105)). Let j(b) = 5*b - 6. Give r*g(l) - 13*j(l). l Let k(h) = -h + 14. Let x(z) = -1. Give -k(u) + 6*x(u). u - 20 Let u(g) = -8*g**3 + 8*g**2 + 19*g. Let x(f) = 7*f**3 - 7*f**2 - 18*f. What is -6*u(i) - 7*x(i)? -i**3 + i**2 + 12*i Let z(q) = 11*q**3 - 23*q**2 - 17*q + 17. Let i(w) = -w**3 + 3*w**2 - 5*w + 2. Let m be i(4). Let d(l) = -2*l**3 + 4*l**2 + 3*l - 3. Determine m*d(k) - 6*z(k). 2*k**3 + 2*k**2 Let l(c) = 4*c + 12. Let k be l(6). Let g(i) = -i + 1. Let r(m) = 16*m - 18. What is k*g(o) + 2*r(o)? -4*o Let h(t) = -t**2 - 2*t - 1. Let f(o) = o**2 - o - 1. Suppose 2 = -3*q + 5. Give q*h(a) - f(a). -2*a**2 - a Let p be 3/((-9)/34)*(-6)/(-4). Let f(t) = 4*t + 5. Let s(o) = 11*o + 14. What is p*f(x) + 6*s(x)? -2*x - 1 Let l(o) be the third derivative of o**4/12 - o**2. Let j(h) = 9*h. Calculate 6*j(s) - 26*l(s). 2*s Let p(z) = -3*z**3 + 7*z + 1. Let t(j) = 3*j**3 - 6*j. Calculate -5*p(w) - 6*t(w). -3*w**3 + w - 5 Suppose -4*a + 2*a + 14 = 0. Let p(b) = 6*b - 9. Let l(k) = 5*k - 8. Determine a*l(r) - 6*p(r). -r - 2 Let b(k) = 5*k**3 + 2*k**2. Let n(v) = -14*v**3 - 6*v**2. Suppose 4*x + 1 = -3. Let q be 14 + (-1 - 1) + x. Determine q*b(a) + 4*n(a). -a**3 - 2*a**2 Let s(y) be the third derivative of -y**4/6 - y**3/6 + 15*y**2. Let n(j) = -9*j - 3. What is 2*n(l) - 5*s(l)? 2*l - 1 Let v(b) = -b + 1. Let c(u) = -42*u + 21. Determine -3*c(o) + 63*v(o). 63*o Let k(m) = 5*m**2 + m. Let c = -15 - -11. Let u = 5 + c. Let w(y) = -y**2 - 2*y. Let t(g) = -2*g**2 - 5*g. Let r(s) = 2*t(s) - 5*w(s). What is u*k(i) - 3*r(i)? 2*i**2 + i Let o(p) be the first derivative of -13*p**3/3 + p**2 - 4*p + 8. Let m(n) = 7*n**2 - n + 2. Let z = 8 - 14. Determine z*o(v) - 11*m(v). v**2 - v + 2 Let i(y) = 36*y - 15. Suppose -179 - 31 = -14*j. Let d(g) = -5*g + 2. Determine j*d(k) + 2*i(k). -3*k Let g(f) be the first derivative of f**3/3 - f**2/2 + f + 2. Let d(n) = 3 + 2*n**3 - 3*n**3 - 32*n + 29*n - 2*n**2 + 7*n**2. Determine d(h) - 3*g(h). -h**3 + 2*h**2 Let l(x) = x - 1. Let c(a) = -64*a + 20. Calculate -c(w) - 20*l(w). 44*w Let f(m) = 5. Let b(w) = -w - 6. Give 3*b(c) + 2*f(c). -3*c - 8 Let i(k) = 6*k - 7. Let r(d) = -7*d + 6. Determine 4*i(c) + 3*r(c). 3*c - 10 Let v(s) = -s**3 - s**2 + s. Let i(m) = -12*m**3 - 5*m**2 + 6*m. What is -i(b) + 6*v(b)? 6*b**3 - b**2 Let q(x) = 9*x + 13. Let r(d) = 4*d + 7. Give -2*q(k) + 5*r(k). 2*k + 9 Let w(q) = 28*q**2 - 3. Let i(j) = 252*j**2 - 28. Determine -3*i(a) + 28*w(a). 28*a**2 Let m(k) = -k**2 - 2*k + 4. Let n be ((-2)/(-2) - 4)*-1. Let z(i) = i**2 - i. Let l(x) = -3*x**2 + 7*x - 5. Let s(f) = l(f) + 5*z(f). Give n*m(c) + 2*s(c). c**2 - 2*c + 2 Let s(f) = f - 1. Let a(o) = o - 19. Calculate -a(w) + 2*s(w). w + 17 Let q(u) = -2*u**2 - 5*u. Let v = -9 - -12. Let s(j) = -j**3 + 3*j**2 - j - 3. Let d be s(v). Let b(r) = -r**2 - 2*r. What is d*q(o) + 15*b(o)? -3*o**2 Let f(a) be the third derivative of -a**3/2 + a**2. Let d(o) be the second derivative of -o**3/6 - o**2/2 + 2*o. Give 2*d(k) - f(k). -2*k + 1 Let g(h) = h - 1. Let s(m) = 2*m - 1. Suppose -5*j - 4*l = -11, j + j - 3*l = 9. What is j*s(c) - 4*g(c)? 2*c + 1 Let c(k) = -k**2 - 10*k + 16. Let n(p) = -p**3 + 11*p**2 - 10*p - 2. Let r be n(10). Let h(s) = -2*s + 3. Calculate r*c(t) + 11*h(t). 2*t**2 - 2*t + 1 Suppose 3*r - 3 = 9. Suppose -3*i - r = -4*i. Let s(c) = -c**3 - 2*c**2 + 2*c. Let h(x) = 3*x**3 + 5*x**2 - 5*x. Determine i*h(k) + 10*s(k). 2*k**3 Let n be (12/(-15))/(2/(-5)). Let p(c) = 3*c**2 - c - 1. Let i(f) be the first derivative of -f**2 + 4/3*f**3 + 2 - 2*f. Calculate n*i(b) - 3*p(b). -b**2 - b - 1 Let b(d) = 4*d**2 - d - 1. Let v(g) be the first derivative of -g**3/3 - 11. What is b(y) + 5*v(y)? -y**2 - y - 1 Let m(w) = -36*w - 5. Let f(s) = 7*s + 1. Determine -11*f(x) - 2*m(x). -5*x - 1 Let l(o) = -13*o + 4. Suppose 55 = -3*a - 2*a. Let u(p) = 20*p - 5*p - 1 - 8*p - 1. What is a*u(g) - 6*l(g)? g - 2 Let f(w) = w**2 - 3. Let q(y) = y**2 - 3. What is -7*f(r) + 6*q(r)? -r**2 + 3 Let x(k) be the second derivative of -k**3/6 + k**2 - 8*k. Let g(z) = 2*z - 3. Give -2*g(m) - 3*x(m). -m Let u(b) = 5*b + 13. Let m(g) = 6*g + 14. Determine 6*m(t) - 7*u(t). t - 7 Let w(a) = a + 2. Let f be (-3*1)/(4 - 5). Let p(t) = 3. Give f*w(r) - 2*p(r). 3*r Let b(d) = -d - 1. Let h(y) = 7. Calculate -6*b(n) - h(n). 6*n - 1 Let a(t) = t**2 - t - 1. Let y = 66 - 65. Let s(j) = 3*j**2 - 5
{ "pile_set_name": "DM Mathematics" }
alculate prob of picking 1 t and 2 i when three letters picked without replacement from {i: 2, t: 2, g: 2}. 1/10 What is prob of picking 1 l and 2 r when three letters picked without replacement from ssslrsrrrvvzszvrzs? 5/408 Two letters picked without replacement from {v: 1, n: 1, w: 1, j: 1, k: 1}. Give prob of picking 1 k and 1 w. 1/10 Four letters picked without replacement from ccccccccccccccfcccfc. Give prob of picking 4 c. 12/19 Two letters picked without replacement from matrybtattytyay. Give prob of picking 1 y and 1 b. 4/105 Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, j: 2, v: 3, z: 1, u: 1, g: 4}. 1/11 Calculate prob of picking 2 u when two letters picked without replacement from ddduddduuddd. 1/22 Calculate prob of picking 2 e and 2 p when four letters picked without replacement from eepepeepppee. 14/33 Two letters picked without replacement from aejajjjjejjj. Give prob of picking 2 a. 1/66 Four letters picked without replacement from {z: 7, g: 4, e: 2}. Give prob of picking 1 z, 1 g, and 2 e. 28/715 Two letters picked without replacement from nnnnjnnlnnhlhoonj. What is prob of picking 1 o and 1 h? 1/34 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from fgafaaaafffg. 5/33 What is prob of picking 1 r and 1 h when two letters picked without replacement from rrrhrfhrrrnnnrhnnfr? 3/19 Three letters picked without replacement from {d: 4, t: 4, g: 2}. What is prob of picking 1 g and 2 d? 1/10 Two letters picked without replacement from {n: 1, m: 1, q: 1, c: 11, p: 3, x: 2}. What is prob of picking 2 c? 55/171 Four letters picked without replacement from {y: 2, t: 2, e: 1}. Give prob of picking 1 e and 3 y. 0 Calculate prob of picking 1 m and 1 p when two letters picked without replacement from apppapamop. 1/9 Three letters picked without replacement from {v: 5, t: 1, k: 3}. What is prob of picking 3 k? 1/84 Four letters picked without replacement from {b: 2, u: 1, r: 1, p: 1, i: 1, a: 1}. Give prob of picking 1 u, 1 a, and 2 b. 1/35 Three letters picked without replacement from {e: 4, l: 10, s: 5}. What is prob of picking 3 e? 4/969 What is prob of picking 2 b and 1 o when three letters picked without replacement from wwbwlmlwwlobw? 1/286 What is prob of picking 1 w and 2 c when three letters picked without replacement from {p: 3, k: 6, h: 1, c: 2, w: 1}? 1/286 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 18, c: 2}. 18/95 Three letters picked without replacement from uvuuvv. Give prob of picking 2 v and 1 u. 9/20 Two letters picked without replacement from {z: 2, n: 1, b: 2}. Give prob of picking 2 z. 1/10 Four letters picked without replacement from {b: 2, x: 6, v: 1, c: 2, g: 4}. What is prob of picking 3 v and 1 x? 0 Calculate prob of picking 1 z, 1 e, and 1 f when three letters picked without replacement from nzfkzefnnn. 1/30 Three letters picked without replacement from {t: 2, x: 4, a: 1, b: 2, m: 4, r: 2}. What is prob of picking 1 r and 2 m? 12/455 Two letters picked without replacement from sxowyop. Give prob of picking 1 p and 1 x. 1/21 Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 1, r: 1, e: 1, n: 2, w: 1, y: 2}. 1/28 What is prob of picking 1 m, 1 i, and 1 t when three letters picked without replacement from {w: 1, i: 1, m: 11, t: 2}? 22/455 Four letters picked without replacement from {j: 7, d: 2, s: 2}. What is prob of picking 1 j, 1 s, and 2 d? 7/165 Calculate prob of picking 3 j when three letters picked without replacement from {e: 1, u: 4, y: 2, j: 3}. 1/120 What is prob of picking 1 p and 3 u when four letters picked without replacement from puuuppuppp? 4/35 Three letters picked without replacement from hxvhyyahxy. What is prob of picking 3 y? 1/120 Three letters picked without replacement from {y: 1, z: 1, k: 3, e: 4, d: 4, g: 4}. What is prob of picking 1 z and 2 g? 3/340 Four letters picked without replacement from {m: 10}. What is prob of picking 4 m? 1 Two letters picked without replacement from {l: 1, b: 1, m: 2}. Give prob of picking 1 l and 1 b. 1/6 What is prob of picking 2 t when two letters picked without replacement from {m: 1, t: 1, z: 1}? 0 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 2, i: 2, z: 1}. 1/5 Four letters picked without replacement from {b: 1, i: 5, g: 3}. What is prob of picking 1 i and 3 g? 5/126 Calculate prob of picking 1 b, 1 c, and 1 i when three letters picked without replacement from {b: 1, y: 2, z: 9, i: 5, c: 1}. 5/816 What is prob of picking 2 r and 1 i when three letters picked without replacement from {i: 3, r: 4}? 18/35 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from vvvnvvvnvvvvnvvvvvvv. 51/190 Calculate prob of picking 1 u, 1 c, and 1 d when three letters picked without replacement from {o: 4, u: 7, d: 2, c: 1, f: 1}. 2/65 Calculate prob of picking 1 u and 3 m when four letters picked without replacement from uummuumuummuumummum. 70/323 Three letters picked without replacement from {s: 3, r: 1}. Give prob of picking 1 r and 2 s. 3/4 Two letters picked without replacement from zzuz. What is prob of picking 2 z? 1/2 What is prob of picking 1 t, 2 b, and 1 c when four letters picked without replacement from ftbbttdbjttfcbt? 12/455 Calculate prob of picking 2 t and 2 m when four letters picked without replacement from mttctttttctmmtt. 9/91 Three letters picked without replacement from qqdffqdfqqqs. What is prob of picking 3 q? 1/11 What is prob of picking 1 g and 3 d when four letters picked without replacement from hghhhdhhggdgh? 0 Three letters picked without replacement from {p: 9, g: 5}. Give prob of picking 1 g and 2 p. 45/91 Two letters picked without replacement from {d: 2, q: 5, z: 1, w: 4, r: 2}. Give prob of picking 1 z and 1 d. 2/91 Four letters picked without replacement from srrsxxrsrdrrxexxd. What is prob of picking 2 s, 1 d, and 1 e? 3/1190 What is prob of picking 2 k when two letters picked without replacement from kzkr? 1/6 Two letters picked without replacement from {h: 3, q: 2, d: 3, s: 1, k: 1}. What is prob of picking 1 k and 1 d? 1/15 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from vvqas. 1/5 What is prob of picking 2 q, 1 h, and 1 j when four letters picked without replacement from {b: 1, h: 2, e: 1, j: 1, q: 2, l: 1}? 1/35 Three letters picked without replacement from zgzggzggzg. What is prob of picking 3 z? 1/30 Three letters picked without replacement from pkplulgmglglmk. Give prob of picking 1 m and 2 l. 3/91 Four letters picked without replacement from {c: 4, x: 3, q: 4}. What is prob of picking 1 q and 3 c? 8/165 Two letters picked without replacement from {m: 1, f: 1, s: 1, u: 1, v: 1, p: 2}. What is prob of picking 1 u and 1 m? 1/21 Three letters picked without replacement from {n: 2, c: 7}. What is prob of picking 1 n and 2 c? 1/2 Three letters picked without replacement from itnkvakakkkin. Give prob of picking 1 n, 1 v, and 1 i. 2/143 What is prob of picking 1 f and 1 r when two letters picked without replacement from krkfhkrkhhhhh? 1/39 What is prob of picking 1 p and 1 j when two letters picked without replacement from kmtkjkmmmnmjjtjkmpjm? 1/38 Two letters picked without replacement from iilyiyi. Give prob of picking 2 i. 2/7 Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, m: 1, n: 4, c: 12}. 3/190 What is prob of picking 2 z when two letters picked without replacement from {a: 3, z: 2, b: 5}? 1/45 Two letters picked without replacement from lhvxqlf. What is prob of picking 2 l? 1/21 Two letters picked without replacement from ookk. What is prob of picking 1 k and 1 o? 2/3 Two letters picked without replacement from {d: 2, f: 1, k: 3, s: 3, o: 1}. What is prob of picking 2 d? 1/45 What is prob of picking 2 o when two letters picked without replacement from {i: 1, o: 4, e: 2}? 2/7 What is prob of picking 1 q and 1 a when two letters picked without replacement from rhaaaafaqvaaavraqaa? 22/171 Two letters picked without replacement from eexteeddtt. What is prob of picking 2 d? 1/45 Three letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
*m. -56*m Collect the terms in -3003*w + 1499*w + 1497*w. -7*w Collect the terms in -160 + 10*r - 9 + 6 - 8*r. 2*r - 163 Collect the terms in -49*a - 201 + 70 - 894. -49*a - 1025 Collect the terms in -223*i + 482*i - 257*i. 2*i Collect the terms in 2209*p**2 - 603*p**2 - 536*p**2 - 536*p**2 - 539*p**2. -5*p**2 Collect the terms in -981*h - 1437 + 1437. -981*h Collect the terms in -530879*y**2 + 265442*y**2 + 265440*y**2. 3*y**2 Collect the terms in u - 2*u - u + 64629. -2*u + 64629 Collect the terms in -13020182861*b**2 + 0 + 0 + 13020182870*b**2. 9*b**2 Collect the terms in -3*t**2 + 35*t - 123*t + 0*t**2 + 88*t. -3*t**2 Collect the terms in -47*j - 13382524 + 13382524. -47*j Collect the terms in 26*y - 181*y**3 - 184*y**3 + 544*y**3 - 180*y**3. -y**3 + 26*y Collect the terms in 9 - 72*h + 7 + 7 + 1 - 23. -72*h + 1 Collect the terms in -706*p + 2818*p - 706*p - 705*p - 695*p. 6*p Collect the terms in -9*d + 11 + 14 + 0*d - 1. -9*d + 24 Collect the terms in -260*b + 139*b + 138*b. 17*b Collect the terms in 27*b + 16*b - 79*b + 16*b. -20*b Collect the terms in 1 + 1724*y - 1541*y - 4190*y + 1. -4007*y + 2 Collect the terms in 10 + 0 - 80499*x - 10. -80499*x Collect the terms in -3*r**3 + r**3 - 44*r - 7*r**3. -9*r**3 - 44*r Collect the terms in -452*o + 13*o**2 + 229*o + 223*o. 13*o**2 Collect the terms in 73 - 73 + 30574*p. 30574*p Collect the terms in 4*t - 2*t**2 + 13 + 0*t - 3*t + 174. -2*t**2 + t + 187 Collect the terms in -336 - 342 - 3*h**3 + 1008 - 6*h**3 - 330. -9*h**3 Collect the terms in 2*b - 43630 + 21815 + 21815 - 3*b. -b Collect the terms in 34*k - 134*k + 34*k + 32*k + 31*k. -3*k Collect the terms in 8797*i**2 - 39216*i**2 - 70981*i**2. -101400*i**2 Collect the terms in -178*b**3 + 502*b**3 + 271*b**3. 595*b**3 Collect the terms in 3*b - 2960*b**3 + 5876*b**3 - 3*b - 2976*b**3. -60*b**3 Collect the terms in -162*q**2 + 106*q**2 + 225*q**2. 169*q**2 Collect the terms in 72*q**2 + 13 + 565*q**2 - 13. 637*q**2 Collect the terms in -199*c - 193*c + 583*c + 1792*c**2 - 191*c. 1792*c**2 Collect the terms in -15*i**3 + 41 - 218*i + 22*i**3 - 10*i**3 + 218*i. -3*i**3 + 41 Collect the terms in 115 - 115 + 2361*v. 2361*v Collect the terms in -4*i + i + 13 - 7*i + 2*i. -8*i + 13 Collect the terms in -46*p + 12*p - 66*p. -100*p Collect the terms in 155*r + 34*r + 272*r + 40*r + 31*r. 532*r Collect the terms in 15*q + 14*q + 5*q - 33*q. q Collect the terms in -57*x + 11*x**3 - 49*x + 47*x + 59*x. 11*x**3 Collect the terms in -792*k**3 + 767*k**3 + 30*k**3. 5*k**3 Collect the terms in -2*l**3 + 462*l + 3*l**3 - 142*l - 150*l - 170*l. l**3 Collect the terms in -18*a**3 - 29*a**3 - 32*a**3 + 78*a**3 - 29*a**3. -30*a**3 Collect the terms in 2*r - 1 - 2*r - 71818*r**2 + 1 + 71816*r**2. -2*r**2 Collect the terms in 24798 + q - 24798 + 2*q. 3*q Collect the terms in 5272*j + 4*j**2 + 5275*j - 15815*j + 5268*j. 4*j**2 Collect the terms in -4*z**2 + 28*z**2 - 5*z**2 - 47 - 12*z**2 + 4*z. 7*z**2 + 4*z - 47 Collect the terms in 2 - 720*s**2 + 1314*s**2 - 594*s**2 + 2*s**3 - 2. 2*s**3 Collect the terms in 45*f**3 - 249*f**3 + 43*f**3. -161*f**3 Collect the terms in 3*r + 4*r - 5*r - 2*r - 27954*r**2 + 27953*r**2. -r**2 Collect the terms in 30*i + 43*i - 199*i + 33*i + 51*i. -42*i Collect the terms in 5*k**2 - 7 - 8 + 23 - 8. 5*k**2 Collect the terms in -16 - 3*w**2 - 4*w**3 + 3*w**2 + 0*w**2. -4*w**3 - 16 Collect the terms in -16*p - 22*p - 5*p + 9*p - 38*p + 17*p. -55*p Collect the terms in 77 + 83 + 324*b - 25 + 263*b. 587*b + 135 Collect the terms in -102*a + 102*a - 2*a**2 + 51. -2*a**2 + 51 Collect the terms in 8495*p + 5563*p + 0*p**2 - 513*p + 2*p**2. 2*p**2 + 13545*p Collect the terms in 69*r**2 - 3*r**3 + 140*r - 271*r - 69*r**2 + 131*r. -3*r**3 Collect the terms in -1183*p**3 - 13761*p**3 + 2901*p**3. -12043*p**3 Collect the terms in -6 + 0 + 16*l + 6 + 402*l. 418*l Collect the terms in -254 - 2*y**3 + 254 - 383*y**2. -2*y**3 - 383*y**2 Collect the terms in -3 - 2 - 2 + 6*i**3 - 11*i + 1. 6*i**3 - 11*i - 6 Collect the terms in 213*t**2 + 352825 + 3*t**3 - 352825. 3*t**3 + 213*t**2 Collect the terms in 206*k + 20*k + 2395 - 2395. 226*k Collect the terms in 6*i - 117 + 55 - 6*i - 234 + 3*i. 3*i - 296 Collect the terms in 27*a + 28*a - 133*a + 33*a + 27*a + 33*a. 15*a Collect the terms in -625272 + 625272 + 867*o. 867*o Collect the terms in -301 + 194 - 6*v**2 + 107. -6*v**2 Collect the terms in -67*l - 469*l**2 + 138*l - 71*l. -469*l**2 Collect the terms in -3494 - 15*i - 3493 - 8*i + 6987. -23*i Collect the terms in -5402*q**2 + 1873*q**2 + 472*q**2 - 3364*q**2. -6421*q**2 Collect the terms in -196387 + 196387 + 5*f. 5*f Collect the terms in 47 - 9*j**3 - 278 + 3*j**3. -6*j**3 - 231 Collect the terms in -85*t**3 + 410*t**3 - 59*t**3 + 51*t**3. 317*t**3 Collect the terms in 2694*h - 5386*h + 2688*h. -4*h Collect the terms in -76*h - 1116*h - 143*h. -1335*h Collect the terms in -4487*q - 3191*q + 2261*q. -5417*q Collect the terms in -22*j**3 - 1143*j**2 + 20*j**3 - 1285*j**2 + 2428*j**2. -2*j**3 Collect the terms in -p**2 + 11561 + 11566 + 11565 - 34692. -p**2 Collect the terms in -1119*n**2 + 50 - 3965*n**2 - 50. -5084*n**2 Collect the terms in -206 - 162*d - 107 + 709*d. 547*d - 313 Collect the terms in 126 - h**3 - 337 + 99 + 112. -h**3 Collect the terms in -21617*n**3 - 21624*n**3 + 43057*n**3. -184*n**3 Collect the terms in -460051 - 3*z**2 + 460051. -3*z**2 Collect the terms in -43*r - 94*r - 6 - 1 + 0*r**2 - 4*r**2. -4*r**2 - 137*r - 7 Collect the terms in -13*v**3 + 486905*v - 486905*v. -13*v**3 Collect the terms in -f + 29 - 6 - 19 - 10*f**3. -10*f**3 - f + 4 Collect the terms in 28*h**3 + 23 - 3*h - 147*h**3 - 23. -119*h**3 - 3*h Collect the terms in w**3 - 273121 + 137173 + 135948. w**3 Collect the terms in 40*q + 4*q**2 - 40*q - 8096 + 8096. 4*q**2 Collect the terms in 37*k**2 + 23*k**2 - 56*k**2 + 3*k**2 - 4*k**2 + 5*k**2. 8*k**2 Collect the terms in -12297 + 12297 + 19*u**2. 19*u**2 Collect the terms in 146*r**3 - 6638 - 160*r**3 + 6638. -14*r**3 Collect the terms in 79*g**2 - 11*g**3 + 84*g**2 - 20*g**3 - 268*g**2 + 106*g**2. -31*g**3 + g**2 Collect the terms in 25*i**3 + 43*i**3 - 61*i**3 + 39*i**3. 46*i**3 Collect the terms in 16*t**3 - 430 + 425 - 28*t**3. -12*t**3 - 5 Collect the terms in 18*j - 82*j + 6*j. -58*j Collect the terms in 56*v**3 - 9*v**3 - 4*v**3 - 20*v**3 - 16*v**3. 7*v**3 Collect the terms in -5*g - 181*g**2 + 375*g**2 - 4*g - 187*g**2. 7*g**2 - 9*g Collect the terms in 1015*y - 1015*y + 4 + 27*y**2. 27*y**2 + 4 Collect the terms in -p - 827 - 441 + 175 + 0*p. -p - 1093 Collect the terms in 43*n + 4 + 5*n - 8*n. 40*n + 4 Collect the terms in -13*c**2 - 36*c**2 - 35*c**2. -84*c**2 Collect the terms in -292 - p + 145 + 147 - 23*p**2. -23*p**2 - p Collect the terms in -2*w**2 + 17306293 - 17306293 + w**2 - 10*w**3. -10*w**3 - w**2 Collect the terms in 16 + 4*u + 5367*u**2 - 5369*u**2 - 4*u. -2*u**2 + 16 Collect the terms in -850*v**3 - 272*v**3 + 136*v**3. -986*v**3 Collect the terms in 630*x**2 + 2 + 1 + 2*x**3 - 3. 2*x**3 + 630*x**2 Collect the terms in 0*y**2 - 36023*y - 10*y**2 + 36023*y. -10*y**2 Collect the terms in -4*s**3 - 6*s**3 - 11*s**3 + 1569*s**2 - 1569*s**2. -21*s**3 Collect the terms in -15*k**2 - 179626*k + 179626*k. -15*k**2 Collect the terms in -15*t - 37*t - 207*t**2 + 212*t**2 - 17*t. 5*t**2 - 69*t Collect the terms in -2*b + 2572*b**3 - 2611*b**3 + 2*b. -39*b**3 Collect the terms in -2*z**3 - 138544*z + 179*z**2 - 179*z**2 + 138544*z. -2*z**3 Collect the terms in -12*v**2 + 66*v + 8*v**2 + 11*v**2 - 66*v - 21. 7*v**2 - 21 Collect the terms in 1133179886*x**3 + 4*x**2 - 1133179888*x**3 - 4*x**2. -2*x**3 Collect the terms in 741*z**2 + 2*z**3 + 2*z + 90*z**2 - 4*z**3. -2*z**3 + 831*z**2 + 2*z Collect the terms in -2202*c**3 + 567*c**3 + 29*c**2 - 29*c**2. -1635*c**3 Collect the terms in 131 + 19*f + 73*f - 93*f. -f + 131 Collect the terms in 16947*f - 432*f**3 - 16947*f. -432*f**3 Collect the terms in -25 - 87944*a + 25. -87944*a Collect the terms in -6*g**3 + 61*g - 65*g**2 - g + 65*g**2. -6*g**3 + 60*g Collect the terms in 426*u**3 + 427*u**3 - 1697*u**3 + 423*u**3 + 424*u**3. 3*u**3 Collect the terms in 459*d + 426*d - 936*d. -51*d Collect the terms in 738 - 117 - 2*l + l - 509 - 112. -l C
{ "pile_set_name": "DM Mathematics" }
-33770217.489 rounded to the nearest 100? -33770200 What is -35448.6895 rounded to the nearest 1000? -35000 Round -1053513100 to the nearest one hundred thousand. -1053500000 Round -86160034.8 to the nearest 10000. -86160000 What is 5.840150747 rounded to 3 decimal places? 5.84 Round -216964831.7 to the nearest 1000000. -217000000 Round 8.8006371 to the nearest integer. 9 What is -0.06476845324 rounded to 5 dps? -0.06477 What is -27199843.09 rounded to the nearest one thousand? -27200000 Round -0.53086504 to one decimal place. -0.5 What is 189699.523 rounded to the nearest 10000? 190000 What is -0.0000089446804 rounded to 6 dps? -0.000009 Round 1.974928639 to one dp. 2 What is 0.0195858118 rounded to 3 decimal places? 0.02 Round -305894775 to the nearest 1000000. -306000000 Round 0.006076207 to 7 dps. 0.0060762 What is -241.731084 rounded to one dp? -241.7 What is 0.00236952617 rounded to two decimal places? 0 What is -9514858.5 rounded to the nearest one million? -10000000 What is 10113173.08 rounded to the nearest one hundred thousand? 10100000 What is 780134783 rounded to the nearest 10000? 780130000 Round -0.0230784019 to two decimal places. -0.02 What is -370.73107 rounded to the nearest integer? -371 What is 1.6095503 rounded to one dp? 1.6 What is -0.099769773 rounded to three dps? -0.1 Round -3414.975145 to the nearest 10. -3410 What is 0.1033420336 rounded to 4 decimal places? 0.1033 What is 3582120.2 rounded to the nearest 1000000? 4000000 What is -94512281.63 rounded to the nearest one million? -95000000 What is 1240525374 rounded to the nearest 1000000? 1241000000 What is 0.00299779493 rounded to 6 dps? 0.002998 Round 30019.1568 to the nearest integer. 30019 What is -141827648000 rounded to the nearest one million? -141828000000 Round -146176507.45 to the nearest 100000. -146200000 Round -0.00021265652 to 6 decimal places. -0.000213 What is 353546920 rounded to the nearest 1000000? 354000000 What is -5518.08953 rounded to the nearest one thousand? -6000 What is 31134.15307 rounded to the nearest integer? 31134 Round -0.00000031538081 to seven dps. -0.0000003 Round -3246672640 to the nearest one million. -3247000000 Round 1672612160 to the nearest 1000000. 1673000000 What is -30199.93158 rounded to the nearest 1000? -30000 What is 5631655.6 rounded to the nearest one hundred thousand? 5600000 Round -424.5956321 to 1 dp. -424.6 Round -915.3515 to 1 dp. -915.4 Round 13.947579 to one dp. 13.9 Round 301828311.9 to the nearest 1000. 301828000 Round -1104637879 to the nearest one million. -1105000000 Round -36.2844062 to two dps. -36.28 What is -130409361 rounded to the nearest 100000? -130400000 What is -0.000020717463602 rounded to seven decimal places? -0.0000207 Round 201269.1151 to the nearest 10000. 200000 Round -3.99164418 to 4 decimal places. -3.9916 Round -13025298.626 to the nearest ten thousand. -13030000 Round -0.0000011966608 to six decimal places. -0.000001 Round -6638073.73 to the nearest one million. -7000000 What is 0.09209509 rounded to two dps? 0.09 What is -0.017255144 rounded to three dps? -0.017 What is 34089350.4 rounded to the nearest one million? 34000000 What is -161.777681 rounded to the nearest ten? -160 Round 0.4881883 to 3 decimal places. 0.488 What is 31.69632057 rounded to the nearest integer? 32 What is -0.030533652 rounded to 6 dps? -0.030534 What is -1681.57166 rounded to the nearest integer? -1682 Round -63965.1801 to the nearest 10. -63970 What is 0.0000446901609 rounded to six decimal places? 0.000045 Round 8.336511 to one dp. 8.3 Round -279.2358 to zero dps. -279 What is 11836.1018 rounded to zero dps? 11836 Round 708052.51 to the nearest one hundred thousand. 700000 What is -0.000000176718029 rounded to 7 decimal places? -0.0000002 What is 0.00505881793 rounded to six decimal places? 0.005059 What is 1538422.55 rounded to the nearest 100000? 1500000 What is -42950.2831 rounded to the nearest 100? -43000 What is 0.000022339767 rounded to 6 decimal places? 0.000022 Round -13.218481 to 0 dps. -13 Round -51630.4701 to the nearest one thousand. -52000 What is -76.9747409 rounded to 1 decimal place? -77 Round -1.91476249 to 3 decimal places. -1.915 What is 197199.9301 rounded to the nearest ten thousand? 200000 Round 6.4131458 to the nearest ten. 10 What is 14223705102 rounded to the nearest 1000000? 14224000000 Round 34373155.8 to the nearest one hundred thousand. 34400000 Round 159655.1951 to the nearest 10. 159660 What is 67073.9691 rounded to the nearest 1000? 67000 What is -3.4709692 rounded to two decimal places? -3.47 What is -194141091 rounded to the nearest one million? -194000000 Round -6.078626689 to the nearest integer. -6 Round -0.2647136312 to four dps. -0.2647 What is 0.4790336846 rounded to one decimal place? 0.5 Round -4541606692 to the nearest 100000. -4541600000 Round -0.00800530468 to 5 dps. -0.00801 What is 2329649.17 rounded to the nearest 1000? 2330000 Round -87.3430757 to zero dps. -87 What is 52526.7673 rounded to the nearest 10? 52530 Round -3497333.9 to the nearest 1000000. -3000000 Round 1663977500 to the nearest 1000000. 1664000000 What is 3671.00812 rounded to the nearest integer? 3671 What is 214.665048 rounded to the nearest 100? 200 What is -413983.036 rounded to the nearest 1000? -414000 Round 0.000570930622 to 5 decimal places. 0.00057 What is -0.00001263001104 rounded to 7 decimal places? -0.0000126 Round -0.000000672178221 to 7 dps. -0.0000007 What is 90.858 rounded to the nearest integer? 91 What is -0.000591337263 rounded to four dps? -0.0006 Round 5.7826593 to 3 decimal places. 5.783 Round -103572.927 to the nearest 1000. -104000 What is -0.0000321658429 rounded to 6 decimal places? -0.000032 Round -7068754887 to the nearest one million. -7069000000 What is -0.0123428244 rounded to 5 decimal places? -0.01234 Round 0.000349167235 to 7 decimal places. 0.0003492 Round -362401.245 to the nearest one hundred thousand. -400000 What is -400577.9457 rounded to the nearest 1000? -401000 Round -44.05566 to 1 dp. -44.1 What is -233.818884 rounded to zero decimal places? -234 What is -0.004125099 rounded to 4 dps? -0.0041 What is 21235707.1 rounded to the nearest one million? 21000000 Round -15.8793359 to the nearest integer. -16 What is 75.0997639 rounded to the nearest integer? 75 Round -0.04051403723 to 3 dps. -0.041 What is 264408406 rounded to the nearest 1000000? 264000000 Round -2.362137033 to 1 dp. -2.4 What is -68.128632 rounded to 2 dps? -68.13 What is -0.0003261520546 rounded to 6 decimal places? -0.000326 Round -0.0004919852612 to six decimal places. -0.000492 What is 5462.08771 rounded to 1 dp? 5462.1 What is 27477307500 rounded to the nearest 1000000? 27477000000 Round -1110478.273 to the nearest one hundred thousand. -1100000 What is 12433.92 rounded to the nearest integer? 12434 What is -15009263.22 rounded to the nearest 1000? -15009000 Round -404005538.9 to the nearest 100000. -404000000 Round -0.0000004943349996 to seven dps. -0.0000005 What is -0.0477066 rounded to three decimal places? -0.048 Round 1303.265958 to two dps. 1303.27 What is -0.0000589477679 rounded to 5 decimal places? -0.00006 Round -0.000264192844 to 5 decimal places. -0.00026 What is -530099134 rounded to the nearest 1000000? -530000000 What is -8099.056395 rounded to 1 dp? -8099.1 Round 61393.50222 to zero dps. 61394 What is 1.63497626 rounded to four dps? 1.635 What is -2616.31773 rounded to the nearest one hundred? -2600 What is 0.0010420561 rounded to four dps? 0.001 Round -10267.12997 to the nearest 1000. -10000 Round -13.2648463 to 1 dp. -13.3 What is 925.917758 rounded to 1 decimal place? 925.9 What is 329.637601 rounded to 1 decimal place? 329.6 What is 0.00317284467 rounded to 7 dps? 0.0031728 What is -6.2632993 rounded to one decimal place? -6.3 Round -0.00714556519 to 5 dps. -0.00715 What is 0.0004174975222 rounded to four decimal places? 0.0004 What is -1.0405981609 rounded to four decimal places? -1.0406 Round -701684.91 to the nearest ten thousand. -700000 What is 38.6888648 rounded to the nearest integer? 39 Round -0.8807607423 to 5 dps. -0.88076 What is -129776.19 rounded to the nearest 1000? -130000 What is 1761858930 rounded to the nearest one million? 1762000000 Wha
{ "pile_set_name": "DM Mathematics" }
the p'th term of -32671, -32666, -32657, -32644, -32627, -32606? 2*p**2 - p - 32672 What is the c'th term of 165, 170, 171, 162, 137? -c**3 + 4*c**2 + 162 What is the x'th term of 335, 1350, 3035, 5384, 8391, 12050, 16355, 21300? -x**3 + 341*x**2 - x - 4 What is the y'th term of -1174, -2351, -3532, -4717, -5906? -2*y**2 - 1171*y - 1 What is the a'th term of -228, -207, -164, -87, 36, 217? 2*a**3 - a**2 + 10*a - 239 What is the v'th term of -4, 16, 64, 152, 292, 496, 776, 1144? 2*v**3 + 2*v**2 - 8 What is the r'th term of -27, -55, -117, -225, -391, -627, -945? -2*r**3 - 5*r**2 + r - 21 What is the u'th term of -243, -252, -259, -264, -267, -268? u**2 - 12*u - 232 What is the h'th term of -40, -140, -306, -538, -836, -1200, -1630? -33*h**2 - h - 6 What is the n'th term of 8262, 8263, 8264, 8265? n + 8261 What is the i'th term of 2, 33, 64? 31*i - 29 What is the p'th term of 6, 9, 22, 51, 102? p**3 - p**2 - p + 7 What is the t'th term of 293, 298, 305, 314? t**2 + 2*t + 290 What is the a'th term of -3680, -3677, -3674? 3*a - 3683 What is the k'th term of 764, 769, 786, 821, 880, 969, 1094? k**3 - 2*k + 765 What is the v'th term of 139, 260, 391, 538, 707? v**3 - v**2 + 117*v + 22 What is the l'th term of -118, -106, -94, -82, -70? 12*l - 130 What is the t'th term of -3840, -3839, -3838, -3837? t - 3841 What is the x'th term of -77, -150, -223, -296, -369, -442? -73*x - 4 What is the w'th term of -13, -17, -9, 11? 6*w**2 - 22*w + 3 What is the x'th term of -903, -1806, -2709, -3612? -903*x What is the p'th term of 87, 178, 257, 318, 355, 362, 333, 262? -p**3 + 98*p - 10 What is the z'th term of -94, -198, -324, -484, -690, -954, -1288? -2*z**3 + z**2 - 93*z What is the b'th term of 84, 169, 254, 339, 424, 509? 85*b - 1 What is the x'th term of -67, -78, -91, -106, -123, -142, -163? -x**2 - 8*x - 58 What is the u'th term of -492, -484, -474, -462, -448? u**2 + 5*u - 498 What is the o'th term of 30, 31, 32, 33? o + 29 What is the i'th term of 21, 29, 37, 45, 53, 61? 8*i + 13 What is the f'th term of -207, -351, -495? -144*f - 63 What is the d'th term of -230, -1021, -2340, -4187, -6562, -9465? -264*d**2 + d + 33 What is the n'th term of -5065, -5066, -5067? -n - 5064 What is the u'th term of -1789, -1784, -1769, -1738, -1685, -1604? u**3 - u**2 + u - 1790 What is the f'th term of -14, -42, -74, -110, -150? -2*f**2 - 22*f + 10 What is the p'th term of -3690, -3687, -3682, -3675? p**2 - 3691 What is the t'th term of 894, 900, 906, 912, 918, 924? 6*t + 888 What is the z'th term of -76, -63, -42, -13, 24, 69, 122? 4*z**2 + z - 81 What is the t'th term of -64, -63, -62, -61, -60? t - 65 What is the z'th term of -4559, -9117, -13675? -4558*z - 1 What is the c'th term of 7, 55, 105, 157, 211, 267, 325? c**2 + 45*c - 39 What is the k'th term of -365, -545, -711, -857, -977? k**3 + k**2 - 190*k - 177 What is the z'th term of -335, -315, -269, -185, -51? 2*z**3 + z**2 + 3*z - 341 What is the l'th term of 10, 1, -4, -5, -2? 2*l**2 - 15*l + 23 What is the z'th term of -50, -46, -42, -38, -34? 4*z - 54 What is the d'th term of -144, -288, -438, -594, -756, -924? -3*d**2 - 135*d - 6 What is the u'th term of -29, -37, -79, -179, -361? -4*u**3 + 7*u**2 - u - 31 What is the n'th term of 28, 71, 118, 163, 200? -n**3 + 8*n**2 + 26*n - 5 What is the k'th term of 7984, 7994, 8018, 8062, 8132, 8234? k**3 + k**2 + 7982 What is the y'th term of 799, 802, 805, 808, 811, 814? 3*y + 796 What is the z'th term of -25, -131, -301, -529, -809, -1135, -1501, -1901? z**3 - 38*z**2 + z + 11 What is the p'th term of 0, -8, -12, -12, -8, 0, 12? 2*p**2 - 14*p + 12 What is the a'th term of 913, 910, 907? -3*a + 916 What is the l'th term of -2843, -2851, -2863, -2879, -2899, -2923? -2*l**2 - 2*l - 2839 What is the o'th term of -1, 4, 15, 32, 55, 84, 119? 3*o**2 - 4*o What is the u'th term of -644, -1293, -1942, -2591, -3240? -649*u + 5 What is the b'th term of 27, 25, 23, 21? -2*b + 29 What is the c'th term of 90, 158, 226? 68*c + 22 What is the y'th term of -43, -92, -141, -190, -239? -49*y + 6 What is the x'th term of -71, -87, -103, -119? -16*x - 55 What is the b'th term of -38, -168, -524, -1220, -2370, -4088? -19*b**3 + b**2 - 20 What is the g'th term of -1, 21, 45, 71? g**2 + 19*g - 21 What is the s'th term of 34, 125, 204, 265, 302, 309? -s**3 + 98*s - 63 What is the q'th term of -1677, -1675, -1671, -1665, -1657, -1647, -1635? q**2 - q - 1677 What is the x'th term of -138, -234, -316, -378, -414, -418, -384? x**3 + x**2 - 106*x - 34 What is the k'th term of -14, -20, -28, -38, -50? -k**2 - 3*k - 10 What is the x'th term of -86, -175, -264, -353? -89*x + 3 What is the v'th term of 17, 34, 55, 80, 109? 2*v**2 + 11*v + 4 What is the b'th term of 45, 46, 55, 78, 121, 190, 291, 430? b**3 - 2*b**2 + 46 What is the q'th term of 118, 475, 1070, 1903, 2974, 4283, 5830? 119*q**2 - 1 What is the d'th term of 46, 72, 94, 112, 126? -2*d**2 + 32*d + 16 What is the z'th term of -417, -833, -1249, -1665, -2081? -416*z - 1 What is the k'th term of 36, 31, 26, 21, 16? -5*k + 41 What is the c'th term of 61, 52, 43, 34, 25, 16? -9*c + 70 What is the z'th term of -326, -647, -956, -1247, -1514, -1751? z**3 - 328*z + 1 What is the s'th term of -68, -240, -520, -908, -1404, -2008? -54*s**2 - 10*s - 4 What is the r'th term of -19, -7, 31, 101, 209, 361, 563, 821? r**3 + 7*r**2 - 16*r - 11 What is the d'th term of -27, -32, -49, -84, -143? -d**3 + 2*d - 28 What is the d'th term of 50, 88, 126, 164, 202? 38*d + 12 What is the d'th term of -16, -22, -28, -34, -40? -6*d - 10 What is the q'th term of 313, 1277, 2885, 5137, 8033? 322*q**2 - 2*q - 7 What is the d'th term of -3521, -3512, -3489, -3446, -3377, -3276, -3137? d**3 + d**2 - d - 3522 What is the y'th term of -82, -83, -84, -85, -86? -y - 81 What is the y'th term of -5, -27, -77, -167, -309? -2*y**3 - 2*y**2 - 2*y + 1 What is the p'th term of -22, -75, -158, -277, -438? -p**3 - 9*p**2 - 19*p + 7 What is the p'th term of 5, 1, -7, -19, -35, -55, -79? -2*p**2 + 2*p + 5 What is the v'th term of -330, -334, -340, -348, -358, -370? -v**2 - v - 328 What is the s'th term of 71, 137, 197, 245, 275, 281? -s**3 + 3*s**2 + 64*s + 5 What is the m'th term of 308, 316, 334, 368, 424, 508? m**3 - m**2 + 4*m + 304 What is the j'th term of -76, -150, -216, -268, -300, -306? j**3 - 2*j**2 - 75*j What is the h'th term of 18, 30, 44, 60, 78, 98, 120? h**2 + 9*h + 8 What is the l'th term of 2111, 2119, 2127, 2135? 8*l + 2103 What is the l'th term of -246, -258, -270, -282? -12*l - 234 What is the k'th term of 6, -23, -88, -201, -374, -619, -948, -1373? -2*k**3 - 6*k**2 + 3*k + 11 What is the i'th term of -602, -1201, -1800, -2399, -2998? -599*i - 3 What is the l'th term of -605, -596, -585, -572, -557, -540, -521? l**2 + 6*l - 612 What is the s'th term of 47, 72, 143, 284, 519, 872, 1367? 4*s**3 - s**2 + 44 What is the b'th term of 135, 557, 1253, 2217, 3443, 4925? -b**3 + 143*b**2 - 7 What is the o'th term of -76, -81, -72, -43, 12, 99? o**3 + o**2 - 15*o - 63 What is the u'th term of -1, -4, -3, 8, 35? u**3 - 4*u**2 + 2*u What is the x'th term of 6, -9, -26, -45, -66, -89? -x**2 - 12*x + 19 What is the v'th term of -99, -169, -239, -309, -379, -449? -70*v - 29 What is the t'th term of 2343, 2349, 2373, 2427, 2523, 2673, 2889? 2*t**3 - 3*t**2 + t + 2343 What is the i'th term of -77, -96, -115, -134, -153? -19*i - 58 What is the k'th term of -162, -305, -452, -603, -758? -2*k**2 - 137*k - 23 What is the n'th term of 92, 367, 826, 1469, 2296? 92*n**2 - n + 1 What is the g'th term of 2100, 4199, 6298? 2099*g + 1 What is the t'th term of -134, -537, -1206, -2141, -3342, -4809, -6542? -133*t**2 - 4*t + 3 What is the r'th term of -5, -11, -17, -23, -29, -35? -6*r + 1 What is the v'th term of -9, -129, -329, -609? -40*v**2 + 31 What is the n'th term of 18, 22, 12, -12, -50, -102? -7*n**2 + 25*n What is the i'th term of 3583, 3563, 3531, 3481, 3407, 3303, 3163? -i**3 - 13*i + 3597 What is the s'th term of -359, -353, -343, -329, -311, -289? 2*s**2 - 361 What is the t'th term of -89, -362, -817, -1454? -91*t**2 + 2 What is the v'th term of -108, -330, -936, -2118, -4068, -6978, -11040? -32*v**3 + 2*v - 78 What is the r'th term of 304, 310, 316? 6*r + 298 What is the w'th
{ "pile_set_name": "DM Mathematics" }
0.6593 to 1 dp. 0.7 Round 1654400 to the nearest 1000000. 2000000 Round -520 to the nearest one hundred thousand. 0 What is -0.25196 rounded to 2 decimal places? -0.25 What is 0.3605 rounded to two decimal places? 0.36 What is 21030 rounded to the nearest 10000? 20000 Round -25.89 to the nearest integer. -26 What is -7132000 rounded to the nearest 100000? -7100000 Round 0.00000397 to 6 dps. 0.000004 Round 47050 to the nearest ten thousand. 50000 What is 393710 rounded to the nearest ten thousand? 390000 Round -3577000 to the nearest one hundred thousand. -3600000 What is 0.116129 rounded to 2 decimal places? 0.12 What is 211500 rounded to the nearest one thousand? 212000 What is -0.12926 rounded to 2 dps? -0.13 What is -0.6518 rounded to one dp? -0.7 Round -0.0002637 to four decimal places. -0.0003 Round 1259 to the nearest 1000. 1000 What is -208396 rounded to the nearest ten thousand? -210000 What is -14316000 rounded to the nearest one million? -14000000 Round 9945800 to the nearest 100000. 9900000 What is -3849.7 rounded to the nearest 100? -3800 Round 93953000 to the nearest one million. 94000000 Round -61600 to the nearest ten thousand. -60000 Round 240.69 to the nearest ten. 240 Round 1564100 to the nearest one million. 2000000 What is -12669000 rounded to the nearest 1000000? -13000000 What is 6522000 rounded to the nearest 100000? 6500000 Round -113100 to the nearest ten thousand. -110000 Round 130.73 to the nearest 10. 130 Round 0.0037669 to 5 dps. 0.00377 What is 0.0000357006 rounded to seven dps? 0.0000357 Round 0.0000997 to 6 dps. 0.0001 What is -364000 rounded to the nearest one million? 0 What is -0.00594 rounded to three dps? -0.006 What is -0.0017683 rounded to four decimal places? -0.0018 Round -4828000 to the nearest 1000000. -5000000 Round -96100 to the nearest 10000. -100000 What is 7060000 rounded to the nearest one million? 7000000 What is 63.76 rounded to the nearest ten? 60 Round -5838000 to the nearest one hundred thousand. -5800000 Round -29000000 to the nearest one million. -29000000 What is 1.6228 rounded to two decimal places? 1.62 What is -0.0000020388 rounded to seven dps? -0.000002 What is 16630000 rounded to the nearest one hundred thousand? 16600000 Round -3165 to the nearest 100. -3200 What is 0.0026716 rounded to four dps? 0.0027 What is -120.29 rounded to zero decimal places? -120 Round -0.5488 to 3 dps. -0.549 What is 0.0000200664 rounded to 6 dps? 0.00002 What is 11762.4 rounded to the nearest 100? 11800 What is -5100000 rounded to the nearest one hundred thousand? -5100000 What is -22.36 rounded to 0 decimal places? -22 What is 0.005803 rounded to 4 decimal places? 0.0058 Round 1.05 to 2 dps. 1.05 What is -737.4 rounded to the nearest ten? -740 What is -0.0000016422 rounded to seven dps? -0.0000016 What is 3.521 rounded to one dp? 3.5 What is 0.00071289 rounded to 4 decimal places? 0.0007 Round 0.00809 to 3 decimal places. 0.008 Round 0.60926 to two dps. 0.61 Round -0.13763 to three dps. -0.138 What is -9248700 rounded to the nearest 1000000? -9000000 What is 70.8 rounded to the nearest integer? 71 Round -0.00000726203 to six dps. -0.000007 Round 17.03 to 1 dp. 17 Round 8106.8 to the nearest 100. 8100 What is -0.0609732 rounded to two decimal places? -0.06 What is 3.4657 rounded to the nearest integer? 3 What is 264000 rounded to the nearest 100000? 300000 What is 13.374 rounded to 1 decimal place? 13.4 Round 231.8 to the nearest ten. 230 What is -0.02433 rounded to three decimal places? -0.024 Round 12563000 to the nearest one million. 13000000 Round -0.005045 to 3 decimal places. -0.005 What is -0.000000215 rounded to seven decimal places? -0.0000002 Round 0.000000002 to seven decimal places. 0 What is 265.1 rounded to the nearest ten? 270 What is 0.00000499 rounded to six decimal places? 0.000005 Round -55.304 to the nearest 10. -60 What is -0.000221627 rounded to 4 decimal places? -0.0002 Round -0.23894 to three decimal places. -0.239 What is -0.74173 rounded to two decimal places? -0.74 What is -137370 rounded to the nearest ten thousand? -140000 What is 11.97 rounded to the nearest integer? 12 What is 0.00000201 rounded to six dps? 0.000002 Round 0.00204148 to five dps. 0.00204 Round 0.0011429 to five decimal places. 0.00114 Round -1.0796 to 1 dp. -1.1 What is -172400 rounded to the nearest one thousand? -172000 What is 45310 rounded to the nearest 10000? 50000 Round -39257000 to the nearest 100000. -39300000 Round 2970.5 to the nearest 1000. 3000 What is -0.0664 rounded to one decimal place? -0.1 Round -0.0071492 to five decimal places. -0.00715 Round -84820 to the nearest ten thousand. -80000 Round -123533 to the nearest ten thousand. -120000 What is 84.8 rounded to the nearest integer? 85 Round -3.3349 to one dp. -3.3 What is -0.000985 rounded to 5 decimal places? -0.00099 Round 0.0054282 to four decimal places. 0.0054 Round 200.497 to the nearest 10. 200 What is 0.25651 rounded to three decimal places? 0.257 Round 0.0000098603 to 7 decimal places. 0.0000099 What is -0.0012591 rounded to 3 decimal places? -0.001 Round 0.00006092 to six dps. 0.000061 What is 15125000 rounded to the nearest one million? 15000000 Round -9.535 to the nearest integer. -10 Round -69960 to the nearest one thousand. -70000 What is 11141000 rounded to the nearest 100000? 11100000 What is -72.55 rounded to 0 decimal places? -73 Round 0.00000611 to 6 decimal places. 0.000006 What is -24.282 rounded to 1 decimal place? -24.3 What is -18106000 rounded to the nearest one million? -18000000 What is -0.5897 rounded to 2 decimal places? -0.59 What is 0.00077 rounded to four dps? 0.0008 Round -0.0008717 to five dps. -0.00087 Round 0.000001318 to 7 dps. 0.0000013 What is -0.00000575 rounded to six decimal places? -0.000006 What is 0.000001552 rounded to 6 decimal places? 0.000002 Round -364.3 to the nearest ten. -360 Round 3.949 to two dps. 3.95 What is -5.4261 rounded to 2 dps? -5.43 Round -566.97 to the nearest 10. -570 Round 0.00074587 to five dps. 0.00075 Round -57938 to the nearest one thousand. -58000 Round 0.00000077375 to seven dps. 0.0000008 What is 0.1221 rounded to 0 decimal places? 0 Round -1196.5 to the nearest 10. -1200 Round 0.019077 to four decimal places. 0.0191 What is -0.0033185 rounded to five decimal places? -0.00332 Round -7188.5 to the nearest 1000. -7000 What is -0.002063 rounded to 4 decimal places? -0.0021 What is 0.0000743 rounded to 5 dps? 0.00007 Round 0.000022048 to six decimal places. 0.000022 What is -0.0000000591 rounded to seven decimal places? -0.0000001 What is -0.001607 rounded to 4 decimal places? -0.0016 Round 726200 to the nearest one hundred thousand. 700000 What is -0.000022203 rounded to six decimal places? -0.000022 Round 0.0000184205 to 7 dps. 0.0000184 What is 0.0002533 rounded to 5 dps? 0.00025 What is -0.3527 rounded to one dp? -0.4 What is 0.000026428 rounded to 7 decimal places? 0.0000264 What is -4.7728 rounded to the nearest integer? -5 Round -1800 to the nearest one thousand. -2000 Round -4224.3 to the nearest 100. -4200 Round -159720000 to the nearest one million. -160000000 Round 0.0003993 to five dps. 0.0004 What is -13892200 rounded to the nearest one hundred thousand? -13900000 Round -506.82 to the nearest ten. -510 What is -4.9117 rounded to one dp? -4.9 What is 851.6 rounded to the nearest integer? 852 Round -2860 to the nearest one hundred. -2900 What is 0.00451 rounded to three dps? 0.005 Round 41570 to the nearest one thousand. 42000 What is 1.32 rounded to two dps? 1.32 What is -0.000007278 rounded to seven decimal places? -0.0000073 What is -15.595 rounded to the nearest integer? -16 Round -4217 to the nearest 100. -4200 What is -41.07 rounded to the nearest ten? -40 Round 4.439 to one dp. 4.4 What is 0.000675 rounded to four decimal places? 0.0007 What is 890000 rounded to the nearest 100000? 900000 Round 855000 to the nearest 10000. 860000 What is 0.000047463 rounded to 6 decimal places? 0.000047 Round -0.06992 to 3 dps. -0.07 Round -565.5 to the nearest 10. -570 What is 4746.6 rounded to the nearest ten? 4750 Round 0.0000414024 to six decimal places. 0.000041 What is -1697 rounded to the nearest 100? -1700 Round -9120000 to the nearest 1000000. -9000000 Roun
{ "pile_set_name": "DM Mathematics" }
- 1. Are u and o unequal? True Suppose -5*x = -3*x - 14. Let r be 4/16 - x/(-36). Let p = -2 + 1. Is r < p? False Suppose 8 = 4*w - 0*w. Suppose -4*j - 4 = -w*j. Let n(q) = 2*q - 22. Let v be n(9). Is j greater than v? True Let z be (1 + -2)/(0 - -1). Let m be (z/(-2))/(1/2). Let x = 98/9 + -100/9. Is x at most m? True Suppose -10 = 2*v + q - 7, -3*q - 14 = v. Let x = 162 + -481/3. Is x < v? False Let c be -2*(-2 + -1 - -5). Is c != -5/2? True Let h = 1 - -2. Suppose -2*u + h = u. Which is smaller: u or 2/7? 2/7 Let q = 2 - 2. Let l = 20 - 20. Do q and l have the same value? True Suppose 0 = z + y - 7, 3*y = 3*z - 1 + 10. Are z and 3/5 equal? False Let q(o) = 90*o**3 + 2*o + 3. Let x(r) = -135*r**3 - 3*r - 4. Let w(f) = -7*q(f) - 5*x(f). Let b be w(1). Let a be b/(-25) + 2/1. Is a at least as big as -3? True Suppose -3*x = -8 + 11. Is x equal to -2/47? False Suppose 3*m + 9 = -9. Let v be ((-3)/1 - m) + 3. Let x be 2/((-21)/v - -3). Is x less than -3? True Let t be 3 - ((-36)/(-21) - 5). Is t less than or equal to 7? True Let w = -11 - -22. Let a = w + -6. Let j be 10/2 - (-4 - -6). Which is greater: a or j? a Let o = 5 + -8. Let n be -1 + (-1)/o*3. Which is greater: n or 5/6? 5/6 Let z = 5 - 5. Suppose -3*r - 3*l = 2*l + 34, -r - 2*l - 13 = z. Does -4 = r? False Suppose 0 = a - 0 - 2. Let u = 0.06 - 0.36. Which is smaller: u or a? u Suppose g - 3*g + 16 = 0. Are g and 8 equal? True Let z(x) = -x**3 + 7*x**2 + 10*x. Let i be z(8). Let k be (3/7)/(12/i). Are 2 and k equal? False Suppose -22*g = -18*g - 336. Let i be (-344)/g + (2 - -2). Is i at least as big as 0? False Let q = -0.03 - -0.83. Let j = -1 + q. Let f = 0.3 - -0.7. Which is smaller: f or j? j Let l = -50 + 50. Is 77 > l? True Let m = 22465/3 - 7283. Let i = m + -207. Is -3 smaller than i? True Let p be 8895902/(-18) - 4/18. Let b = -325194591/658 - p. Let r = -1/94 + b. Which is smaller: r or 0? 0 Let i be (-4)/(-10) + 3/5. Which is smaller: -2/77 or i? -2/77 Let k = -14.9 - -15. Which is bigger: -0.03 or k? k Suppose -202 = -5*t + n - 56, 0 = 4*t + 5*n - 140. Which is smaller: 31 or t? t Let o = 3 - 2. Let w = -6 - -41/7. Are w and o unequal? True Let g = -17 - -16. Which is greater: g or -12/29? -12/29 Suppose 5*s + j = 2*s + 8, -2*s = -j + 3. Suppose s + 5 = 2*p. Do 3 and p have the same value? True Let s be 30/(-4)*4/5. Suppose 4 = -4*m - 4*p - 4, -p - 17 = 4*m. Is s less than or equal to m? True Let u(m) = -m + 3. Let f be u(9). Let o be 176/f + 4/(-6). Let x be 2/9 + o/(-27). Are 1 and x unequal? True Let k = -65 + 66. Which is bigger: k or 2/23? k Let d = 3 - 4. Let g(v) = -v**2. Let w be g(d). Is 1/11 at most w? False Suppose -9*p - 178 + 1564 = 0. Is 1 less than p? True Let h be (-1068)/400 + (-1 - -4). Let a = h + -2/25. Which is smaller: -0.2 or a? -0.2 Let c be (1344/35)/8*(-15)/(-2). Is c at most as big as 36? True Let k = 26/3 + -9. Which is greater: k or -6? k Let p = -9 + 12. Suppose 0 = -p*t + 4*r - 35, 2*r + 3 = 1. Is -13 bigger than t? False Let y = 2/83 + 326/249. Let q be 1 + 1 + (-1)/1. Let j = q - 1. Which is smaller: j or y? j Suppose 0 = 3*n + 2*d + 5, d - 4 = 2*d. Let u(b) = -5*b**3 + b**2 + b - 1. Let q be u(n). Let o be (q + 3 + 1)/(-1). Which is bigger: o or -5/4? o Let l(c) = -c**3 - 7*c**2 - 6*c + 4. Let n be -1 - -3 - (1 - -7). Let x be l(n). Is x < 3? False Let y = 297285 + -6236116/21. Let j = -327 + y. Which is smaller: j or -2/7? -2/7 Let i = 5 + -6. Let f = 0.35 + -2.35. Which is greater: f or i? i Let i(x) = 7*x**2 + x - 1. Let c be i(-3). Suppose c - 15 = 4*r. Let p = -7 + r. Is 2 at most as big as p? True Let f(y) = 4*y**2 - 1. Let o be f(1). Suppose o*b = -6 - 0. Is -2 less than or equal to b? True Suppose 0 = -v - 2*v - 12. Let q be (0 - v/(-2)) + 11. Let a = q - 11. Do a and -1 have the same value? False Let a = 7 + -7.06. Which is greater: -0.1 or a? a Let y(b) = -b**2 + 5*b + 7. Let f be y(7). Let v = f - 1. Let p be (-4)/(-16) - (-2)/v. Is p smaller than 2/5? True Let c = -1.1 + 2.4. Let k = -0.3 + c. Are k and -0.03 non-equal? True Let f = 23 + 16. Let x = -4111/35 + 1098/7. Let r = x - f. Which is greater: 0 or r? r Let g = 32 - 38. Suppose -5*p = 3*w + 10 + 2, 0 = 5*w - 2*p - 11. Which is greater: g or w? w Let t be (6/9)/(23/3). Let z(w) = -w**2 - 3*w - 1. Let b be z(-2). Which is smaller: b or t? t Let m = 190 - 1708/9. Suppose -f = 5*x - 18, 3*x + 6*f = f + 24. Suppose o + 3*i - 4 = 0, -6*o - 2 = -x*o - 5*i. Which is greater: o or m? o Let g(i) = -i**3 + 5*i**2 - i + 6. Let k be g(5). Is k greater than 0? True Suppose 23 = -3*y - d, -2*d + 4 = 2*y + 18. Is -2 < y? False Let m(c) = c**3 + c**2 - 1. Let p be m(1). Let q(i) = -i**2 - 4*i + 4. Let l be q(-4). Let d be 3/l*16/42. Are p and d non-equal? True Let n be 7/(28/20) + -1. Is 0 bigger than n? False Let a = -1/60 + -113/420. Let r = -213.94 - -214. Which is greater: r or a? r Let r be (-2 - -5)*14/(-42). Which is smaller: -6/11 or r? r Let s be 5*3/30*4/2. Suppose 2*d - 5*b = 5*d + 9, -12 = 4*b. Is d < s? False Let k be ((-60)/(-2))/(-1 + 3). Do 14 and k have the same value? False Let o be 10/(-105) + (-92)/(-84). Is 1/61 at most as big as o? True Let p = -0.2 + 0. Let r = -0.6 - p. Let g = 0.3 + -0.2. Do r and g have the same value? False Suppose 0 = -3*j - 0 - 3, -1 = x - j. Let o be 50/20*x/20. Which is smaller: 1 or o? o Suppose -3 = -2*y - 7. Is y >= -10/7? False Suppose -2*y + 0 = -4. Suppose 2 - 8 = -y*f. Is f at least 1? True Let q be (6/15)/((-9)/25). Let k = 29/18 + q. Is k != 8? True Let r = 2/59 - -218/531. Is r >= 0? True Let l be (-6)/4*20/30. Is -4/31 less than or equal to l? False Let b = -3 + 7. Which is bigger: 15/4 or b? b Let h(o) = -o**3 - 3*o**2 + 10*o. Suppose 2*b + 2*b = -20. Let n be h(b). Which is bigger: 1/37 or n? 1/37 Let h be ((-11)/214)/(1/16). Let i = -4931/8988 - h. Let f = -1/42 + i. Which is bigger: 1 or f? 1 Let u = -2.8 + 5. Let k = -2.4 + u. Is 1 < k? False Let v(m) be the third derivative of m**6/120 - 11*m**5/60 - 2*m**3/3 - 4*m**2. Let z be v(11). Suppose -3*a + 2*a - 4 = 0. Is z less than a? False Let r(u) = -3*u + 5. Suppose 3*w = -2*w + 20. Let x be r(w). Which is smaller: -8 or x? -8 Suppose 2*b + 7 = 3*j, 2*j = -3*b + 10 - 1. Suppose -4*g + j*g = 1. Which is greater: 0 or g? 0 Let o(x) = x**3 + 4*x**2 - x - 4. Let w be o(-4). Is -1/13 less than w? True Let i = 0.7 + -0.59. Let c = 0.21 - i. Are c and -2 equal? False Let t be 103/7 - 4/(-14). Let d be (-66)/t - (-3)/(-5). Which is greater: -3 or d? -3 Let s = 0.9 - -0.1. Let x = 0.48 + 2.42. Let a = x - 3. Which is bigger: s or a? s Let u = 7 - 6.4. Let k = -0.9 + u. Let c = -0.1 - k. Which is greater: 0 or c? c Let q be (706/(-4))/(3/(-15)). Let r = q - 917. Let s = -761/22 - r. Do 1 and s have different values? True Suppose -18*m + 5 = -13*m. Are -2/19 and m non-equal? True Suppose -h = -2*h - 4. Let b = 2 + h. Let k be (-3)/b*(-8)/18. Is 0.08 smaller than k? False Let l = -7 - -4. Let n be l*((-188)/(-192) - 1). Which is smaller: 0 or n? 0 Let n be 1 + 3 - (-1 + 1). Suppose 2*q + u = -0*u - n, -u = -q - 5. Is q greater than 1? False Let b be (-6)/14*(-105)/60. Let j = -1 - 0. Let k = j - 0. Which is greater: b or k? b Let j be 15/1*(-7)/(-21). Suppose 2*s + j*q - 3 = -19, -q = 4*s - 4. Suppose -1 = -5*g + 14. Which is greater: g or s? g Let w be -4 - (0 - 134/32). Is 0 greater than w? False Suppose -f + 3*c - 4*c - 2 = 0, 0 = 3*f + 5*c. Let n = 6 + f. Let z = 415/7 + -59. Is n >= z? True Let i = 11 + -11.1. Let h = i - -0.2. Which is bigger: 1 or h? 1 Let o(d) = d**3 + d**2 + d - 1. Let l be o(1). Let h be 70/15 + 4/(-6). Let p be (6/(-9))/(h/(-6)). Is p at most l? True Let r(t) = -t - 4. Let v be r(-7). Is v at least as big as 0? True Let l = -559/6 + 12893/138. Is l greater than or equal to 1? False Let h = 2.9 - 2.9. Is 1/4 greater than h? True Let s(m) = -m**3 + m**2 - 2*m - 3. Let g(n) = -n**3 - n - 1. Let c(l) = -2*g(l) + s(l). Let j be c(0). Is j < -1? False Let j = -14 - -10. Let i = j - -3. Let t(a) = -a + 8. Let d be t(6). Which is bigger: d or i? d Let r be ((-2)/(8/(-6)))/12. Suppose 7*i = 11*i. Which is bigger: i or r? r Let p be (-2)/13 - (-15)/13. Let n(h) = h - 1. Let u be n(p). Let w = -1/10 + 4/15. Is w > u? True Let j = -1521/19 + 80. Which is smaller: -1 o
{ "pile_set_name": "DM Mathematics" }
42? 2 What is the tens digit of 452993? 9 What is the hundreds digit of 402504? 5 What is the millions digit of 7337689? 7 What is the thousands digit of 202425? 2 What is the ten thousands digit of 993765? 9 What is the units digit of 1191966? 6 What is the units digit of 1226571? 1 What is the tens digit of 207178? 7 What is the ten thousands digit of 128742? 2 What is the tens digit of 450661? 6 What is the tens digit of 188273? 7 What is the hundreds digit of 816731? 7 What is the tens digit of 1348137? 3 What is the units digit of 56097? 7 What is the thousands digit of 36577? 6 What is the units digit of 15350812? 2 What is the thousands digit of 322862? 2 What is the millions digit of 8285687? 8 What is the millions digit of 8762498? 8 What is the units digit of 257426? 6 What is the hundred thousands digit of 711858? 7 What is the units digit of 13146238? 8 What is the millions digit of 1961080? 1 What is the hundred thousands digit of 394455? 3 What is the tens digit of 30272734? 3 What is the hundreds digit of 137937? 9 What is the tens digit of 9192185? 8 What is the tens digit of 157087? 8 What is the hundred thousands digit of 3285232? 2 What is the hundred thousands digit of 11477637? 4 What is the ten thousands digit of 307122? 0 What is the thousands digit of 2698975? 8 What is the tens digit of 3566123? 2 What is the millions digit of 1295467? 1 What is the units digit of 333047? 7 What is the ten thousands digit of 648037? 4 What is the hundreds digit of 97200? 2 What is the ten thousands digit of 16808144? 0 What is the units digit of 9311235? 5 What is the ten thousands digit of 3304920? 0 What is the thousands digit of 86626? 6 What is the ten thousands digit of 115656? 1 What is the units digit of 9114985? 5 What is the hundreds digit of 9311? 3 What is the units digit of 2008735? 5 What is the millions digit of 1763091? 1 What is the tens digit of 2966432? 3 What is the units digit of 11295788? 8 What is the ten thousands digit of 528133? 2 What is the hundred thousands digit of 24469116? 4 What is the tens digit of 1091786? 8 What is the tens digit of 31456? 5 What is the units digit of 9197891? 1 What is the ten millions digit of 21905703? 2 What is the hundred thousands digit of 443671? 4 What is the hundreds digit of 2615194? 1 What is the hundreds digit of 471660? 6 What is the units digit of 236730? 0 What is the hundred thousands digit of 5077229? 0 What is the hundreds digit of 3810583? 5 What is the hundred thousands digit of 298220? 2 What is the units digit of 1934597? 7 What is the tens digit of 778190? 9 What is the units digit of 629787? 7 What is the ten thousands digit of 753448? 5 What is the tens digit of 213904? 0 What is the ten thousands digit of 3361472? 6 What is the hundreds digit of 70377? 3 What is the tens digit of 3962388? 8 What is the tens digit of 4668? 6 What is the units digit of 93296? 6 What is the units digit of 1179391? 1 What is the millions digit of 19351568? 9 What is the thousands digit of 2016404? 6 What is the ten thousands digit of 82238? 8 What is the ten thousands digit of 2339038? 3 What is the tens digit of 1035991? 9 What is the thousands digit of 8271315? 1 What is the thousands digit of 1203773? 3 What is the thousands digit of 1203670? 3 What is the thousands digit of 716563? 6 What is the thousands digit of 2144648? 4 What is the hundreds digit of 29106254? 2 What is the ten thousands digit of 2069360? 6 What is the ten thousands digit of 321191? 2 What is the tens digit of 143581? 8 What is the thousands digit of 1224497? 4 What is the hundreds digit of 28301? 3 What is the tens digit of 2481128? 2 What is the units digit of 158114? 4 What is the hundreds digit of 3443243? 2 What is the hundreds digit of 678423? 4 What is the hundred thousands digit of 1259063? 2 What is the ten thousands digit of 601652? 0 What is the thousands digit of 26322685? 2 What is the hundreds digit of 500929? 9 What is the tens digit of 54090? 9 What is the hundreds digit of 138710? 7 What is the ten millions digit of 10009319? 1 What is the hundreds digit of 219607? 6 What is the hundreds digit of 71226? 2 What is the thousands digit of 146012? 6 What is the units digit of 8733? 3 What is the hundreds digit of 728716? 7 What is the tens digit of 4509017? 1 What is the units digit of 24788866? 6 What is the ten thousands digit of 77954? 7 What is the hundred thousands digit of 10262433? 2 What is the ten thousands digit of 22218333? 1 What is the thousands digit of 252277? 2 What is the thousands digit of 1466973? 6 What is the thousands digit of 374427? 4 What is the hundreds digit of 8924684? 6 What is the hundred thousands digit of 7308501? 3 What is the thousands digit of 1710931? 0 What is the tens digit of 7800272? 7 What is the tens digit of 3631959? 5 What is the units digit of 143569? 9 What is the hundreds digit of 2624237? 2 What is the units digit of 6142337? 7 What is the thousands digit of 26921180? 1 What is the thousands digit of 2247978? 7 What is the hundred thousands digit of 124329? 1 What is the millions digit of 1155506? 1 What is the hundreds digit of 659332? 3 What is the hundreds digit of 5170673? 6 What is the tens digit of 129755? 5 What is the hundred thousands digit of 9579492? 5 What is the ten thousands digit of 5024033? 2 What is the hundred thousands digit of 256641? 2 What is the hundred thousands digit of 8838173? 8 What is the millions digit of 4041754? 4 What is the units digit of 7498156? 6 What is the thousands digit of 24514422? 4 What is the ten thousands digit of 839968? 3 What is the thousands digit of 23646147? 6 What is the thousands digit of 6440? 6 What is the ten thousands digit of 379355? 7 What is the units digit of 537178? 8 What is the hundreds digit of 1087612? 6 What is the ten thousands digit of 141967? 4 What is the hundred thousands digit of 18873232? 8 What is the tens digit of 2676098? 9 What is the millions digit of 1763747? 1 What is the hundred thousands digit of 6759541? 7 What is the units digit of 2520327? 7 What is the thousands digit of 10115166? 5 What is the thousands digit of 281506? 1 What is the tens digit of 1566670? 7 What is the tens digit of 552157? 5 What is the millions digit of 5758836? 5 What is the thousands digit of 25336016? 6 What is the units digit of 311795? 5 What is the tens digit of 28936895? 9 What is the tens digit of 964011? 1 What is the tens digit of 540765? 6 What is the hundreds digit of 19555862? 8 What is the hundreds digit of 114484? 4 What is the hundreds digit of 11365059? 0 What is the hundred thousands digit of 454426? 4 What is the tens digit of 411079? 7 What is the thousands digit of 3590796? 0 What is the millions digit of 1039725? 1 What is the tens digit of 7000304? 0 What is the tens digit of 2340965? 6 What is the units digit of 7048981? 1 What is the hundreds digit of 4969988? 9 What is the hundred thousands digit of 230529? 2 What is the hundred thousands digit of 2664120? 6 What is the units digit of 1287820? 0 What is the tens digit of 758706? 0 What is the thousands digit of 2911477? 1 What is the thousands digit of 5213957? 3 What is the ten thousands digit of 301213? 0 What is the units digit of 807787? 7 What is the ten thousands digit of 3242040? 4 What is the thousands digit of 19088? 9 What is the ten thousands digit of 3139262? 3 What is the ten thousands digit of 315617? 1 What is the units digit of 2347837? 7 What is the hundred thousands digit of 13181332? 1 What is the hundred thousands digit of 6141497? 1 What is the thousands digit of 2936883? 6 What is the tens digit of 885659? 5 What is the thousands digit of 3719845? 9 What is the thousands digit of 64528? 4 What is the thousands digit of 1253025? 3 What is the hundreds digit of 6259080? 0 What is the tens digit of 594946? 4 What is the ten thousands digit of 3146149? 4 What is the ten thousands digit of 30409475? 0 What is the ten thousands digit of 1811696? 1 What is the units digit of 181231? 1 What is the thousands digit of 1967239? 7 What is the units digit of 4176531? 1 What is the hundreds digit of 339226? 2 What is the ten thousands digit of 1234512? 3 What is the hundred thousands digit of 388332?
{ "pile_set_name": "DM Mathematics" }
/(-24). Suppose 238 = 4*b - f*b. What is the remainder when b is divided by 30? 29 Suppose -60*f - 14354 = 30*f - 84644. Calculate the remainder when f is divided by 242. 55 Let q(j) = 93*j + 772. Calculate the remainder when 40 is divided by q(-8). 12 Let g(w) = -w**3 - 95*w**2 + 52*w - 95. Calculate the remainder when g(-96) is divided by 17. 15 Let m = -64 - -74. Suppose m = 5*w - 5*u, w + 4*u = -2*w - 8. Let x(d) = d**3 - d**2 - 4*d + 59. What is the remainder when x(w) is divided by 31? 28 Let x = 915 + -271. What is the remainder when x is divided by 34? 32 Suppose 0 = -5*s + 3*o + 18273, -577*o + 7307 = 2*s - 576*o. What is the remainder when s is divided by 729? 9 Let r be 62/(-3) - (-8)/12. What is the remainder when r/(-3) + 8/(-12) is divided by 2*(-2 + ((-420)/(-24))/7)? 0 Suppose 7329 - 1299 = 9*u. Let g = u - 323. What is the remainder when g is divided by 70? 67 Calculate the remainder when -7 + (-245)/(-25) + -3 + 18948/15 is divided by 220. 163 Let g(n) = n**3 - 23*n**2 - 76*n + 13. Calculate the remainder when g(26) is divided by 33. 32 Suppose -19 = -0*f + f + 5*w, w = -f - 7. Suppose -2*g - 30 = -4*x, 3*g - 5*x = -0*g - 42. Let j = f - g. Calculate the remainder when 8 is divided by j. 3 Suppose -4*v - 21 + 69 = 4*m, 2*m + 5*v - 24 = 0. Calculate the remainder when 54 is divided by m. 6 Let a(g) = -g**3 - 5*g**2 + 2*g - 14. Let h be (-11 - -9) + -1 + 1. What is the remainder when ((-24)/h)/(4/8) is divided by a(-6)? 4 Let o(t) = t - 5. Let j be o(-3). Let w be 0/(1/((-4)/j)). Suppose 195 = -w*a + 3*a. Calculate the remainder when a is divided by 17. 14 Let y(j) = j**2 - 3*j + 24. Let r be y(22). Suppose -22 = 20*w - r. Calculate the remainder when w is divided by 6. 3 Let s be (-531)/(-2) - 14/(-28). Let o = -88 + s. Calculate the remainder when o is divided by 15. 13 Let d(z) = -z**3 + 2*z**2 + z. Let c be d(2). Suppose 5*u + 27 = o, -o + 5*o + 2*u + c = 0. What is the remainder when o - -3 - 4 - 31*-5 is divided by 32? 28 Suppose -17*q = -12*q + 5*m - 2290, -3*q + 2*m = -1384. Calculate the remainder when q is divided by 83. 45 Suppose -f - 132 = -4*j, 9*j = 5*j + 4*f + 120. Calculate the remainder when 196 is divided by j. 26 Calculate the remainder when 1527 is divided by -30*((-22)/4 + 5). 12 Suppose 43 + 80 = 3*j. Calculate the remainder when j is divided by ((-1845)/164)/((-6)/8). 11 Let t be (264/55)/((-10)/(-25)). Suppose 44 + t = 7*x. What is the remainder when 13 is divided by x? 5 Suppose -1820*a + 688 = -1777*a. Suppose -n = 2 - 4. Suppose 0 = -2*o - n, -371 = -2*l - 3*l - 4*o. Calculate the remainder when l is divided by a. 11 Suppose 7*w = 9*w - 6. Suppose 4*l = 47 - w. Let v(g) = 5*g - 14. Calculate the remainder when v(l) is divided by 7. 6 Let h(f) = f**3 + f**2 + 2*f - 1. Let t(q) = 4*q**3 + 11*q**2 - 5*q - 86. Let z(i) = -3*h(i) + t(i). What is the remainder when 108 is divided by z(-6)? 53 Let i = -2317 - -2911. What is the remainder when i is divided by 26? 22 Suppose 0 = 65*u - 70*u + 1300. Calculate the remainder when (0 - -2)/(-1) + 6 + u is divided by 53. 52 Let y(f) = 10*f**2 + 9*f - 16. Let l = -1 + -7. Let k be y(l). Calculate the remainder when 6/8 - k/(-32) is divided by 10. 8 Let b(h) = 65*h + 3988. What is the remainder when b(-56) is divided by 111? 15 Let j(u) be the first derivative of u**4/4 - 22*u**3/3 - 23*u**2/2 + 146*u - 111. What is the remainder when j(23) is divided by 17? 10 Suppose -9*s - 4 = -10*s. Suppose -k + 3*d - 18 = 1, -s*k - 4*d - 92 = 0. Let q = k - -58. Calculate the remainder when q is divided by 13. 10 Let c = -25196 + 25370. Calculate the remainder when 6611 is divided by c. 173 Suppose -d + 3*d - 10 = 0. Suppose 3*m - i - 4*i + 18 = 0, 3*i - 46 = d*m. What is the remainder when m + 7 + (44 - 1) is divided by 14? 11 Suppose 0 = 35*w + 64 - 64. Suppose m - 2*t - 27 = w, m + 108 = 5*m - 3*t. Let l(n) = 78*n - 1. Calculate the remainder when l(1) is divided by m. 23 Let x = -3576 - -3697. Calculate the remainder when 363 is divided by x. 0 Let r(m) = 6*m**2 + 7*m + 5 + 3*m**2 + 3 - 23*m. What is the remainder when r(3) is divided by 31? 10 Let o(h) = -3*h**3 + 4*h**2 + 22*h + 68. What is the remainder when 274 is divided by o(-3)? 36 Let b be ((-1818)/15)/(-6) + (-2)/10. Suppose -118*j + 123*j = -b. Let u = j + 22. What is the remainder when u is divided by 7? 4 Suppose 0 = -4*r + r + 5*o + 247, 0 = 2*r - o - 167. Suppose 0 = -i - 2*i + r. What is the remainder when i is divided by (-3)/9 - (4 + (-40)/3)? 1 Let n(f) = -5436*f + 10951. Let u(v) = 155*v**3 - v. Calculate the remainder when u(1) is divided by n(2). 75 Suppose -30 - 26 = -2*r. Let i(s) = s**3 + 22*s**2 - 36*s - 77. What is the remainder when i(-23) is divided by r? 26 Let b = 178 - 175. Suppose -3*l - 5*w + 867 = -3*w, -b*l - w = -870. Calculate the remainder when l is divided by 49. 46 Suppose -3*x = 5*p - 8*x - 15, 2*p - 3*x = 7. Suppose 2*r + r = -2*f + 16, -4*r + 24 = p*f. What is the remainder when 76 is divided by r? 4 Let z = 8108 + -7752. Calculate the remainder when z is divided by 180. 176 Suppose -5*v + 598 - 113 = 0. Suppose -15*i - 32459 + 32714 = 0. Calculate the remainder when v is divided by i. 12 Let r(u) = u. Let m be r(-7). Let d = -2946 - -3014. What is the remainder when d is divided by 12/m*(-28)/4? 8 Let y(s) = -s - 1. Let b(d) = 31*d + 15. Let a(t) = -b(t) + 3*y(t). What is the remainder when 143 is divided by a(-1)? 15 Calculate the remainder when 513 is divided by -11 + 1505/28 - 1/(-4). 40 Suppose 0 = 149*y - 20*y - 1031742. Calculate the remainder when y is divided by 32. 30 Suppose -4 = -2*p + 6. Suppose -w - 7 = -p*r, -1 = 4*r - w - 6. Suppose -n + 17 + 17 = -r*s, 2*n - 52 = -4*s. Calculate the remainder when n is divided by 8. 6 Let l = -5504 + 5552. What is the remainder when l is divided by ((-6)/8)/(2/(-88))? 15 Suppose -3*o + 106 + 99 = 5*l, -4*l - 91 = -o. Let j = o - -9. Let x = 180 - j. What is the remainder when x is divided by 33? 30 Calculate the remainder when (312/30)/(6/60) is divided by 39. 26 Suppose 2831*p - 2844*p + 2353 = 0. Calculate the remainder when 581 is divided by p. 38 Suppose -134 = -10*m - 254. Calculate the remainder when (2/3)/(m/(-3042)) is divided by 86. 83 Let f = -584 - -630. Suppose -29*x + f*x = 493. What is the remainder when 107 is divided by x? 20 Let b(d) = d**3 + 16*d**2 + 53*d + 18. Let s be b(-11). Suppose s*m - 35*m + 2*i = 320, 274 = 4*m - 2*i. What is the remainder when m is divided by 5? 1 Let w = -2454 + 2483. What is the remainder when 288 is divided by w? 27 Let a(q) = q**2 - q + 22. Suppose -2255 = 25*k - 480. Let x = k + 157. Calculate the remainder when x is divided by a(0). 20 Let n = -158 - -182. Let h(w) = 5*w - 5*w + 2 - 14*w. Calculate the remainder when h(-3) is divided by n. 20 Let y = 12984 - 12972. What is the remainder when (58/(-5))/(2/(-10)) is divided by y? 10 Suppose -23 = -j - 0. Suppose 4*i = i - 3*z + 39, 2*i + 5*z = j. What is the remainder when 29 is divided by i? 1 Let x = 24 + -27. Let q(p) = -p - 9. Let a(f) = -3*f - 26. Let b(k) = -3*a(k) + 8*q(k). Calculate the remainder when 8 is divided by b(x). 2 Let v(c) = c**2 - 20*c - 200. Calculate the remainder when v(39) is divided by 42. 37 What is the remainder when 545 is divided by ((-9562)/(-84) - 1/(-6)) + -7 - -2? 0 Let d = 108 + -105. Suppose 0 = 5*p + 6*a - 4*a - 24, d*a - 10 = -p. What is the remainder when 22 is divided by p? 2 What is the remainder when 2418 is divided by 5035/570 - (-28)/24? 8 Suppose -44 = -6*r + 4*r. What is the remainder when 3/36*2523 + (0 - (-9)/12) is divided by r? 13 Suppose 0 = 17*d - 559 - 2297. What is the remainder when 1037 is divided by d? 29 Suppose -48*z + 7280 = -34*z. What is the remainder when z is divided by 29? 27 Suppose 4*c = 185 + 91. Calculate the remainder when c is divided by 40/(-15)*42*1/(-16). 6 Let u(d) = 6*d**2 - 155*d + 918. What is the remainder when 7285 is divided by u(17)? 9 Suppose 30 = -63*r + 60*r. Let q = 26 + r. Suppose -h - q = -p, -5*p = -3*p + 2*h - 40. What is the remainder when 50 is divided by p? 14 Calculate the remainder when 246 is divided by (-2872)/(-40) + (-52)/65. 33 Let k(h) = h**3 - 2*h**2 + 2*h - 3. Let a be (-2)/(-1)*1 - 0/5. Let u be k(a). Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
vided by 22584? 10 Calculate the remainder when 4590 is divided by 4. 2 Calculate the remainder when 15222 is divided by 406. 200 Calculate the remainder when 430014 is divided by 46. 6 Calculate the remainder when 8566 is divided by 8542. 24 What is the remainder when 33729 is divided by 11241? 6 Calculate the remainder when 706128 is divided by 241. 239 What is the remainder when 13759 is divided by 526? 83 Calculate the remainder when 3441730 is divided by 359. 356 What is the remainder when 2345 is divided by 25? 20 What is the remainder when 10747 is divided by 3560? 67 Calculate the remainder when 137142 is divided by 275. 192 Calculate the remainder when 2435 is divided by 352. 323 What is the remainder when 1068597 is divided by 25? 22 What is the remainder when 133891 is divided by 1539? 1537 What is the remainder when 1627201 is divided by 13? 4 What is the remainder when 3201 is divided by 104? 81 Calculate the remainder when 111102 is divided by 118. 64 What is the remainder when 8269 is divided by 236? 9 What is the remainder when 526594 is divided by 14? 12 Calculate the remainder when 10458671 is divided by 47. 43 What is the remainder when 266803 is divided by 7? 5 What is the remainder when 70011 is divided by 2692? 19 What is the remainder when 861 is divided by 787? 74 What is the remainder when 6191 is divided by 6148? 43 What is the remainder when 5303 is divided by 3589? 1714 Calculate the remainder when 507 is divided by 192. 123 What is the remainder when 75162 is divided by 12512? 90 What is the remainder when 7962 is divided by 92? 50 Calculate the remainder when 647 is divided by 255. 137 What is the remainder when 926663 is divided by 237? 230 Calculate the remainder when 860 is divided by 54. 50 What is the remainder when 5315 is divided by 2373? 569 What is the remainder when 13164 is divided by 72? 60 Calculate the remainder when 405 is divided by 114. 63 Calculate the remainder when 54564 is divided by 3031. 6 What is the remainder when 9821 is divided by 1222? 45 What is the remainder when 27594 is divided by 27558? 36 What is the remainder when 54776 is divided by 33? 29 Calculate the remainder when 1015 is divided by 33. 25 Calculate the remainder when 1676 is divided by 23. 20 What is the remainder when 2593 is divided by 3? 1 What is the remainder when 844 is divided by 411? 22 Calculate the remainder when 610 is divided by 449. 161 What is the remainder when 14748 is divided by 14126? 622 Calculate the remainder when 52672 is divided by 1822. 1656 What is the remainder when 2468645 is divided by 35? 25 What is the remainder when 5497 is divided by 100? 97 What is the remainder when 14630 is divided by 57? 38 What is the remainder when 222958 is divided by 34? 20 What is the remainder when 22628 is divided by 10? 8 What is the remainder when 125 is divided by 44? 37 Calculate the remainder when 1137 is divided by 541. 55 What is the remainder when 575 is divided by 121? 91 What is the remainder when 3736 is divided by 1810? 116 What is the remainder when 3492 is divided by 1019? 435 Calculate the remainder when 26014 is divided by 472. 54 What is the remainder when 172217 is divided by 69? 62 Calculate the remainder when 190962 is divided by 50. 12 Calculate the remainder when 187466 is divided by 9866. 12 What is the remainder when 34664 is divided by 197? 189 What is the remainder when 542299 is divided by 850? 849 Calculate the remainder when 35941 is divided by 229. 217 Calculate the remainder when 985 is divided by 420. 145 What is the remainder when 34042 is divided by 9? 4 What is the remainder when 19627 is divided by 45? 7 Calculate the remainder when 423960 is divided by 154. 152 What is the remainder when 3394 is divided by 284? 270 Calculate the remainder when 341634 is divided by 41. 22 What is the remainder when 1531 is divided by 345? 151 Calculate the remainder when 1361 is divided by 89. 26 What is the remainder when 26725 is divided by 103? 48 Calculate the remainder when 5050 is divided by 2477. 96 What is the remainder when 1850 is divided by 171? 140 What is the remainder when 254666 is divided by 65? 61 Calculate the remainder when 19959 is divided by 539. 16 Calculate the remainder when 266049 is divided by 234. 225 What is the remainder when 9942 is divided by 764? 10 What is the remainder when 2222 is divided by 1102? 18 Calculate the remainder when 152731 is divided by 139. 109 Calculate the remainder when 90629 is divided by 95. 94 Calculate the remainder when 63757 is divided by 142. 141 What is the remainder when 4883 is divided by 123? 86 Calculate the remainder when 53777 is divided by 7669. 94 What is the remainder when 284953 is divided by 58? 57 What is the remainder when 4401 is divided by 336? 33 Calculate the remainder when 49369 is divided by 153. 103 Calculate the remainder when 17479 is divided by 65. 59 Calculate the remainder when 1416 is divided by 694. 28 Calculate the remainder when 110543 is divided by 336. 335 Calculate the remainder when 4366 is divided by 398. 386 Calculate the remainder when 46969 is divided by 23478. 13 What is the remainder when 3124 is divided by 1366? 392 What is the remainder when 93053 is divided by 32? 29 What is the remainder when 603564 is divided by 56? 52 What is the remainder when 53321 is divided by 17765? 26 What is the remainder when 28077 is divided by 144? 141 Calculate the remainder when 70887 is divided by 54. 39 What is the remainder when 156399 is divided by 8688? 15 Calculate the remainder when 460839 is divided by 328. 327 Calculate the remainder when 2385 is divided by 240. 225 Calculate the remainder when 179321 is divided by 29866. 125 Calculate the remainder when 164874 is divided by 92. 10 What is the remainder when 9138 is divided by 3007? 117 What is the remainder when 151510 is divided by 193? 5 Calculate the remainder when 31753 is divided by 2265. 43 What is the remainder when 1750 is divided by 45? 40 Calculate the remainder when 3672 is divided by 737. 724 What is the remainder when 6297 is divided by 242? 5 What is the remainder when 46548 is divided by 133? 131 What is the remainder when 174 is divided by 92? 82 What is the remainder when 152680 is divided by 16964? 4 What is the remainder when 4871 is divided by 686? 69 Calculate the remainder when 8320 is divided by 922. 22 What is the remainder when 22430 is divided by 60? 50 What is the remainder when 4793427 is divided by 10? 7 What is the remainder when 78827 is divided by 302? 5 What is the remainder when 36930 is divided by 18462? 6 What is the remainder when 75572 is divided by 440? 332 What is the remainder when 2963 is divided by 13? 12 Calculate the remainder when 27051 is divided by 13496. 59 What is the remainder when 4907 is divided by 20? 7 Calculate the remainder when 1390 is divided by 38. 22 Calculate the remainder when 29185 is divided by 301. 289 Calculate the remainder when 18558 is divided by 10. 8 What is the remainder when 107034 is divided by 358? 350 Calculate the remainder when 238 is divided by 67. 37 Calculate the remainder when 141283 is divided by 143. 142 What is the remainder when 7598 is divided by 579? 71 What is the remainder when 77552 is divided by 23? 19 What is the remainder when 12749 is divided by 2357? 964 What is the remainder when 3485 is divided by 192? 29 Calculate the remainder when 54053 is divided by 34. 27 Calculate the remainder when 4927 is divided by 1193. 155 Calculate the remainder when 57619 is divided by 44. 23 What is the remainder when 9514 is divided by 81? 37 What is the remainder when 87922 is divided by 14647? 40 Calculate the remainder when 17281 is divided by 121. 99 What is the remainder when 776 is divided by 305? 166 What is the remainder when 27527 is divided by 912? 167 What is the remainder when 75085 is divided by 24905? 370 What is the remainder when 55717 is divided by 66? 13 Calculate the remainder when 8031 is divided by 2666. 33 What is the remainder when 4462 is divided by 17? 8 What is the remainder when 1948 is divided by 589? 181 Calculate the remainder when 590 is divided by 284. 22 What is the remainder when 123000 is divided by 494? 488 Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
7094196312? True Is 52894773 a multiple of 6? False Is 375 a factor of 635607? False Does 2 divide 5206211? False Does 46 divide 78493756? True Is 947578409 a multiple of 2706? False Is 31114186 a multiple of 42? False Does 240 divide 31104537? False Is 100 a factor of 659423? False Is 66282065 a multiple of 207? False Is 28 a factor of 1652440? False Is 3367326 even? True Is 40579512 a multiple of 1916? False Is 54495480 a multiple of 52? True Is 345524025 a multiple of 105? True Is 12 a factor of 93311894? False Is 237542956 a multiple of 7? True Is 148269422 a multiple of 7? True Is 48011910 a multiple of 844? False Is 63231242 a multiple of 43? True Is 96836432 a multiple of 1894? True Does 8 divide 79797366? False Is 26166114 a multiple of 234? True Does 42 divide 348585930? True Is 374 a factor of 155729112? True Is 1428931852 a multiple of 18? False Is 14992704 a multiple of 16? True Does 114 divide 459669259? False Is 79282635 a multiple of 388? False Is 1106519486 a multiple of 47? False Is 24 a factor of 742920350? False Is 1169 a factor of 431638053? True Is 1919 a factor of 115405449? False Is 140 a factor of 262493420? True Is 7 a factor of 1282947? False Is 130 a factor of 69382131? False Is 15659515 a multiple of 3? False Is 44764588 a multiple of 3022? False Is 59 a factor of 70256905? True Does 12 divide 660365112? True Does 87 divide 215631529? False Is 173579390 a multiple of 403? False Does 246 divide 2389138? False Does 16 divide 89703872? True Is 3342667195 a multiple of 20? False Is 2933 a factor of 269953320? True Is 5102 a factor of 293803158? False Does 29 divide 7591308? False Is 42 a factor of 250551318? False Is 733977931 a multiple of 125? False Is 65235050 a multiple of 1195? True Is 36671535 a multiple of 327? False Does 14 divide 4674826604? True Is 80 a factor of 1097904480? True Is 15578815 a multiple of 17? False Does 13 divide 263775766? False Does 170 divide 61954460? True Does 104 divide 24365328? True Is 16040814 a multiple of 6? True Is 19 a factor of 5401785405? True Does 190 divide 34457485? False Is 12 a factor of 177024948? True Does 298 divide 265908082? True Is 405 a factor of 71602380? True Does 20 divide 5045600? True Does 3 divide 483257517? True Does 298 divide 216362148? False Is 10 a factor of 12055210? True Is 577327169 a multiple of 337? True Does 14 divide 6382460? True Is 174114874 a multiple of 55? False Is 28218276 a multiple of 151? True Is 139 a factor of 16554066? True Is 380 a factor of 293716? False Is 3341171 a multiple of 2? False Is 7078752 a multiple of 946? False Does 539 divide 2231863019? False Is 51 a factor of 129204158? False Is 2 a factor of 148123458? True Does 900 divide 247041000? True Is 1415 a factor of 8286087? False Is 165 a factor of 485937540? True Is 254190490 a multiple of 299? False Does 47 divide 14664846? True Is 426572610 a multiple of 38? True Is 41722410 a multiple of 519? True Is 1444229895 a multiple of 4985? False Is 30 a factor of 30180060? True Is 74 a factor of 210864924? True Is 9 a factor of 365578992? True Is 290223764 a multiple of 292? True Is 182070071 a multiple of 192? False Is 783956705 a multiple of 204? False Is 220798623 a multiple of 1056? False Is 9676994 a multiple of 97? False Is 174838120 a multiple of 47? True Is 2051 a factor of 480319609? False Is 82447690 a multiple of 43? False Is 69560741 a multiple of 472? False Is 25 a factor of 55832709? False Is 194237428 a multiple of 1077? False Is 481635747 a multiple of 93? True Does 10 divide 153179336? False Is 15 a factor of 573875655? True Is 31 a factor of 476898575? True Does 59 divide 5121495? True Does 3 divide 10892640? True Is 142849923 a multiple of 646? False Is 45977471 a multiple of 2606? False Does 8 divide 173524848? True Does 2428 divide 2034307084? True Does 137 divide 83404496? False Is 7 a factor of 149293721? False Is 225660263 a multiple of 652? False Is 1283879968 a multiple of 392? True Is 65 a factor of 38239825? True Is 157119365 a multiple of 903? False Is 5 a factor of 27509787? False Is 156436754 a multiple of 17? True Is 9 a factor of 34336998? True Is 25 a factor of 688464139? False Is 920 a factor of 39582080? True Is 54872320 a multiple of 27? False Does 23 divide 26210800? True Does 74 divide 397588680? True Is 7 a factor of 30628421? False Is 52 a factor of 380697980? True Does 229 divide 100026055? True Is 18 a factor of 35586138? False Does 7 divide 3048724? True Is 1545 a factor of 633446038? False Is 148381638 a multiple of 2? True Is 349 a factor of 1166808570? False Is 1343890734 a multiple of 1439? True Is 4 a factor of 1141181164? True Is 134 a factor of 3410174940? False Is 278 a factor of 1296098142? False Is 37099630 a multiple of 499? False Is 165 a factor of 194133060? True Is 5284442 a multiple of 140? False Does 1765 divide 64482510? True Is 1462080 a multiple of 15? True Does 368 divide 20433568? True Does 175 divide 46464075? True Is 159047100 even? True Does 301 divide 15470800? False Is 2949796227 a multiple of 931? True Does 4 divide 8645703? False Is 596658548 a multiple of 1910? False Is 74025635 a multiple of 18? False Is 652708934 a multiple of 37? True Is 8577360 a multiple of 185? False Is 675 a factor of 234600300? True Is 725 a factor of 734794750? True Does 81 divide 787925570? False Is 58304110 a multiple of 10? True Is 423 a factor of 132722770? False Does 83 divide 409021261? True Does 3653 divide 713660229? False Is 26160140 a multiple of 10? True Does 1783 divide 80701823? False Does 36 divide 3726504966? False Does 7 divide 24994536? True Is 190 a factor of 129230780? True Does 88 divide 439573865? False Is 120914388 a multiple of 1799? True Does 128 divide 1469150720? True Does 422 divide 65611716? True Does 4852 divide 244715472? True Does 8 divide 414867848? True Is 41369262 a multiple of 1122? True Is 7 a factor of 6275717? True Is 13808826 a multiple of 1674? True Does 195 divide 1306713109? False Is 205 a factor of 34855583? False Does 6884 divide 1288291024? False Does 2138 divide 695305995? False Is 243 a factor of 4520450371? False Does 126 divide 21120498? True Is 27 a factor of 8101045? False Is 759759558 a multiple of 318? True Is 202 a factor of 168856850? True Is 2120 a factor of 3138363200? True Is 31 a factor of 19146113? False Is 373043280 a multiple of 45? False Is 7 a factor of 120494311? True Is 370 a factor of 188441370? True Is 2235182 a multiple of 7? False Does 12 divide 1971697585? False Is 20 a factor of 1803793660? True Does 4425 divide 1112471550? True Is 7 a factor of 612301651? False Is 2808140803 a multiple of 47? False Is 13 a factor of 18256494? False Is 1472239358 a multiple of 1957? True Is 61 a factor of 4677297? True Does 431 divide 59767458? False Does 265 divide 40356721? False Is 80483602 a multiple of 18? False Is 34318075 a multiple of 25? True Is 42466330 a multiple of 5? True Is 4206594 a multiple of 21? True Does 175 divide 50909950? True Is 404929462 a multiple of 103? True Is 23924494 a multiple of 42? False Is 2722641 a multiple of 6? False Does 1113 divide 517536096? True Is 1900831857 a multiple of 24? False Does 407 divide 209132636? False Is 2537316712 a multiple of 59? True Does 3584 divide 305550140? False Is 24494586 a multiple of 17? True Does 34 divide 10690076? True Is 496167332 a multiple of 10? False Is 59 a factor of 80167489? True Is 17939972 a multiple of 312? False Does 5143 divide 200710718? True Is 3 a factor of 8005011? True Does 76 divide 90752850? False Is 704 a factor of 5681089216? True Is 198280628 a multiple of 9? False Is 3495600 a multiple of 5? True Is 2842452368 a multiple of 14? True Is 40 a factor of 835956440? True Is 6 a factor of 12745902? True Does 4590 divide 1002327285? False Does 838 divide 779269756? False Is 1068120409 a multiple of 113? True Is 1288700073 a multiple of 269? False Does 4203 divide 287031276? True Does 914 divide 56676226? True Is 24926061 a multiple of 25? False Is 762981369 a multiple of 1173? True Is 4725217 a multiple of 20? False Does 36 divide 10940760? True Is 14 a factor of 794814675? False Is 803751242 a multiple of 11? False Is 1378326766 a multiple of 113? True Is 42 a factor of 50406888? True Do
{ "pile_set_name": "DM Mathematics" }
.9 - 21843? -22939.9 What is -0.2804345 - 7.1? -7.3804345 Calculate -2 + 10.691345428. 8.691345428 What is 0.183592262 plus 0? 0.183592262 Calculate -1.2 - 28192480. -28192481.2 Calculate -0.0077577633 + -0.4. -0.4077577633 What is the distance between 257 and 0.9? 256.1 Put together -24 and 35511407. 35511383 Add together -1 and 2584980412. 2584980411 Put together -4723686 and 87. -4723599 Total of -34985 and 57429. 22444 Put together 1.274859518 and 0.3. 1.574859518 Work out -257 + 13667. 13410 -468 - 116.99 -584.99 What is 1474511 less than 173? -1474338 What is the distance between -22673.3 and -58428? 35754.7 1 + -48929 -48928 Work out 24100.2 - 124739. -100638.8 What is the difference between -4906901545 and -3? 4906901542 What is 105 - -31237721? 31237826 What is -47508632 take away -0.5? -47508631.5 What is the distance between -1.363412746 and 0.5? 1.863412746 What is the difference between -96000467 and 0.08? 96000467.08 Sum -0.5 and -129902557.71. -129902558.21 What is 1416897 plus -8? 1416889 Subtract -5471815 from 0.3. 5471815.3 What is 1.285001 - -12? 13.285001 What is the distance between 1164 and 12039406? 12038242 Work out -4188.92 + 3228. -960.92 What is the distance between 3.6 and -947463? 947466.6 Work out 0.1137 - 1.553. -1.4393 Work out 4916053471 - -0.18. 4916053471.18 0 - -2299880911 2299880911 Work out -6.218677 - -20. 13.781323 Total of 18.6054137 and 11. 29.6054137 Subtract -4213.7 from -51.5. 4162.2 What is the difference between -3.7 and -1304950? 1304946.3 Put together -8170413056 and -1. -8170413057 What is the distance between -56.66624 and 174? 230.66624 133+23.73606 156.73606 What is -229 less than 1022.4099? 1251.4099 Work out -258.45349 - 0.17. -258.62349 What is -1.829782 take away 3? -4.829782 What is the difference between -24777 and -0.2139? 24776.7861 What is the difference between -13279926126 and 2? 13279926128 What is -851142.5 take away -17? -851125.5 Total of -4 and 3406413326. 3406413322 -0.5 + -0.1668298546 -0.6668298546 Work out -41680498 - 0. -41680498 Calculate -115742 - -1.28. -115740.72 Subtract 717664709 from 5. -717664704 Add 61853 and -76. 61777 Total of 1916584 and 7128. 1923712 Add 124021 and 17. 124038 Add together 218398722 and 0.3. 218398722.3 Calculate 0.007 - 8575475. -8575474.993 What is 21697.689 minus 9? 21688.689 Sum -1.28795 and 942950. 942948.71205 Work out 2 + 5.2896356. 7.2896356 What is 18.6 + -1398400? -1398381.4 Add together -178851 and -0.41. -178851.41 Work out 42.7 + -24.492. 18.208 What is 0.3 less than 8532148.116? 8532147.816 Work out 0.43642 - -0.062. 0.49842 Put together -3500558 and 17. -3500541 What is 682.9568258 take away 0.4? 682.5568258 Subtract 16950205 from -92. -16950297 Put together -43282367465 and -2. -43282367467 Subtract 0.01 from 585240502. 585240501.99 What is 137 - 240299.02? -240162.02 What is -4.96 + 43855? 43850.04 What is the difference between -52.2271032 and -3? 49.2271032 What is -3.12 + 451.7? 448.58 Total of -0.05 and -3990894203. -3990894203.05 What is -16443393 take away -3289? -16440104 Work out -2729 + 2.51242. -2726.48758 What is the difference between 0.030536895 and 0.4? 0.369463105 Subtract -85553325.9 from -0.3. 85553325.6 Calculate 2 - -9535005. 9535007 What is -216597.16 + -0.5? -216597.66 What is -0.4 less than -1.5186750924? -1.1186750924 What is -0.2 - 7407663? -7407663.2 What is 0.38 - 2905292.55? -2905292.17 366177 + -0.0716 366176.9284 Sum -0.054708 and 1221. 1220.945292 Calculate -10898 - -63602. 52704 What is 212 plus -90697.4? -90485.4 Add together 37191951 and -0.11. 37191950.89 Add 71.1616 and 8.88. 80.0416 Work out -103984754 - 0.338. -103984754.338 Work out 10788936 + -0.3723. 10788935.6277 5 + -4647974 -4647969 Total of -24356 and -178.9084. -24534.9084 Add together 0.02080506 and 1. 1.02080506 Add 42 and -357316. -357274 Total of -15.5 and 1.9831318. -13.5168682 -1074797+0.16 -1074796.84 Work out 5956242 - -7884. 5964126 -8 + 140736.17369 140728.17369 What is 3 plus -5015.00116? -5012.00116 What is the difference between 3666.48 and -1.77? 3668.25 What is -20.81 less than -129759? -129738.19 Subtract 3 from 87632547448. 87632547445 What is 67396666 - -0.14? 67396666.14 Work out -114 - 17434989. -17435103 What is 2 take away 1528257.65? -1528255.65 What is -374249 + 12.8? -374236.2 What is 5 plus -4979133? -4979128 27.24 + 5557 5584.24 Calculate 3796361 - 152. 3796209 What is -1934047 less than 7.8? 1934054.8 Put together 0.04798002 and -0.2. -0.15201998 -0.0393 + -322890 -322890.0393 What is the distance between -482.847552 and -226? 256.847552 Work out -1.29004 + 230. 228.70996 Total of 3 and -4514832.25. -4514829.25 What is 1.53 + 752.486? 754.016 What is 47949.3 plus 6019? 53968.3 Calculate -4872317 + 23. -4872294 Calculate 0.549 - 3576. -3575.451 Calculate 124785.534 - 31. 124754.534 Sum -12.013 and 3849387. 3849374.987 -137800365134 - -0.2 -137800365133.8 8176+-155216 -147040 Put together 10 and 139.95593. 149.95593 Calculate 724.67721 + 3. 727.67721 Work out 0.4979 - -239636. 239636.4979 What is 874239.59 less than 2? -874237.59 Work out 0.2176 - 649. -648.7824 What is 2.55705 - 0.0781? 2.47895 Put together 0.8 and 71994.635. 71995.435 Work out -71065308.2 - 0.4. -71065308.6 Calculate -8 + 2011.6571. 2003.6571 What is -325984705 + 6? -325984699 Add together 1587 and 0.140729. 1587.140729 -3 + -15848254514 -15848254517 What is 0.3 less than -156168641.18? -156168641.48 What is the distance between -1 and 15338243? 15338244 Work out -26073451 - 0.2. -26073451.2 Total of 1.1 and 1006.4525. 1007.5525 What is the distance between 1.3 and 41435543.86? 41435542.56 18.37 - -0.036176 18.406176 What is -18229674824 plus -1? -18229674825 What is 20824 plus -0.6306? 20823.3694 Work out 11.35 + -110.831. -99.481 Total of -691 and 145.507. -545.493 What is -288 - -0.093898? -287.906102 Work out -0.2995962 - 0.03411. -0.3337062 -2767321.33 + -0.4 -2767321.73 What is 34.146 + -29.4? 4.746 Put together -3902935 and 0.472. -3902934.528 What is -280 - -14.92157? -265.07843 Total of -0.02864 and -118.92. -118.94864 Work out -6 + 0.367889458. -5.632110542 Calculate 8.3 - 57415483. -57415474.7 Add together -3938940296 and 3. -3938940293 Work out -0.033 + 120963692.9. 120963692.867 What is 2998113 less than -0.1? -2998113.1 Sum -0.0039801433 and 1. 0.9960198567 Calculate 0.3 + -4956939. -4956938.7 What is -24.19397 + 216? 191.80603 What is -130582.19 take away 1.14? -130583.33 Add -0.0657 and 30116242. 30116241.9343 Add 0.017 and -270.159612. -270.142612 Subtract 12131.8642 from 74. -12057.8642 -696 - -789296 788600 What is 4356374 less than 25? -4356349 Work out 23297302 - -234. 23297536 Subtract 5053123 from 409. -5052714 Add together 2831739 and -146. 2831593 1.81461 + -18.1 -16.28539 What is -0.2 minus 261333.7? -261333.9 What is the distance between 2 and 2290.478195? 2288.478195 322608+-4008 318600 -32601.70754 + -0.4 -32602.10754 264.96 + 773 1037.96 Subtract 7707270 from -97. -7707367 12 - 23597.15 -23585.15 Calculate 0.013 + 473245. 473245.013 Total of -650 and 0.62689. -649.37311 58.11215 + -4867 -4808.88785 -4+9555.905895 9551.905895 Put together -514431210 and -0.3. -514431210.3 Calculate -3.368 - -45.8. 42.432 28.8718 + 0.92 29.7918 What is the difference between 1159 and 129.2949? 1029.7051 -179 - -12236801 12236622 What is 0.1 + 10573329166? 10573329166.1 What is -3.26879 minus 376? -379.26879 What is 382 plus 371412.4? 371794.4 Sum -33655734 and -4. -33655738 Sum 243.867313 and 0.1. 243.967313 Calculate 5 + -2652437.54. -2652432.54 Work out 1.2 + -2957675182. -2957675180.8 Put together -3865 and -116924. -120789 What is the difference between 245 and -26.347504? 271.347504 What is 130 less than -0.072288? -130.072288 Calculate 848.963 - 6467. -5618.037 37912 + -50362 -12450 What is the difference between 0.1 and -245155064? 245155064.1 What is the difference between -5.904 and 2.0853? 7.9893 What is the distance between -0.1 and 9772.847? 9772.947 Add 10245.9 and -105.863. 10140.037 Add together -1.078 and 0.42. -0.658 -166 + -1303.94 -1469.94 Work out 5 + -11888.47. -11883.47 What is -2.4 take away 1.9209? -4.3209 Put together -633827010 and -6. -633827016 Add together -4925 and -66894. -71819 Sum -3.65 an
{ "pile_set_name": "DM Mathematics" }
4 - l**4 - 3*l**4 + (-7 - 5 + 5)*(-l**4 + l**4 - l**4) - 4*l**3 + 4*l**3 + l**2 + 5*l**4. 11*l**4 + l**2 Expand (-4*z + 0*z - 5*z)*(4*z**4 + z**4 - 3*z**4 + 8*z - 8*z - 2*z**4 + (-5*z**4 + 3*z**4 + 4*z**4)*(1 - 2 + 3)). -36*z**5 Expand -2*w**2 + 4*w**2 + 9*w**2 - 4*w**2 - 27 + 27 + w**2 - 6*w**2 + 2*w**2 + (-2*w + 0*w + 0*w)*(-3*w + 3*w + 2*w) - 4*w**2 + 3*w**2 + 3*w**2. 2*w**2 Expand (7 - 21 - 6)*(-31*z**3 - 44*z**3 + 26*z**3). 980*z**3 Expand (6*a**2 - 41*a**2 + 0*a**2)*(7 + 3 - 1). -315*a**2 Expand (1 + 0 - 2)*(b - 4*b + 2*b) + 87*b + 15*b + 237*b. 340*b Expand (-167 + 352 - 176 - 2*q)*(2 + 6 - 4). -8*q + 36 Expand (6 - 2 - 12)*(3*m - 5*m - 2*m + (20 - 15 + 16)*(0*m + m + 0*m) + 2 - m - 2). -128*m Expand (-5*n**2 + n**2 + 6*n**2)*(4*n - n - 43*n) + 3 + 4*n**3 - 3. -76*n**3 Expand (h + h - h)*(1 + 2*h - 1)*(323 + 122 - 8). 874*h**2 Expand (-584*h**2 - 218*h**2 - 440*h**2)*(1 - 1 - 2*h**2). 2484*h**4 Expand (140*f - 8*f + 547 - 548)*(-1 + 4 - 2). 132*f - 1 Expand ((-3 + 6 - 4)*(-2*k - 3*k + 2*k) + 52*k - 1607 + 1607)*(k - 1 + 1). 55*k**2 Expand r**4 - 3*r**4 + r**4 - 2*r**2 - 3*r**4 + 2*r**2 + (r**3 + 3*r**3 - 3*r**3)*(3*r + 2*r - 4*r) - 7*r**4 + 7*r**4 - 4*r**4. -7*r**4 Expand (-3 + 6 + 0)*(24*h + 68 - 68). 72*h Expand (-1 - 573*a + 574*a - 4)*(-2 - 3 + 3). -2*a + 10 Expand (13 - 13 + 8*k**2)*(-4*k**2 + 9*k**2 - 16*k + 14*k). 40*k**4 - 16*k**3 Expand (2*g + 3*g - 3*g)*(4*g**3 - 4*g**3 - 2*g**3) - g**3 + g**3 - 2*g**4 + 2*g**4 + g**4 + g**4 + (1 + 3 - 3)*(-11*g**3 + 11*g**3 + 10*g**4). 8*g**4 Expand ((0 - 11 + 4)*(37*l**5 - 3*l**5 - 9*l**5) + (-3*l**2 - l**3 + 3*l**2)*(-3*l + l**2 + 3*l) + 2*l**5 + 0*l**2 + 0*l**2)*(-2 - 3 + 4). 174*l**5 Expand (-f + 0*f + 3*f)*(f**3 + 32*f**3 + 46*f**3) + (-5*f**3 - f**3 + 0*f**3)*(0 - 2 - f + 0*f). 164*f**4 + 12*f**3 Expand -3 + 3 - 3*d + (10 - 10 - 19*d)*(3 - 2 + 1) + (0 + 0 + 1)*(13 - 7*d - 13). -48*d Expand (0*w - 2*w + 6*w)*(-w + 3 - 3) + (-116 + 58 + 47)*(0*w**2 - 2*w**2 + 3*w**2) + w**2 + 0 - 2*w**2 + 1. -16*w**2 + 1 Expand (-5 + 2 + 2)*(3*q + 4 - 4)*(-55*q**3 + 7*q**3 - q**3). 147*q**4 Expand (19 - 12 - 13)*(-v**3 + 3*v**3 - 6*v**3). 24*v**3 Expand (-7*w + 6 - 6)*(-3*w**3 + 5*w**3 + 0*w**3) + 30*w**4 + 4*w**4 + 2*w**4. 22*w**4 Expand -2*u**3 - 2*u**3 + 3*u**3 + (3*u - 3*u + 2*u**2)*(0*u - u + 2*u) + (-191*u**2 + 84*u**2 - 58*u**2)*(-2*u + 2*u + u). -164*u**3 Expand -4*b**5 + 9*b**5 - 21*b**5 + (0*b**2 + 0*b**2 + b**2)*(b**3 - 2*b**3 + 2*b**3) - 3*b**5 + 6*b**5 - 5*b**5. -17*b**5 Expand 23*d**3 - 5*d**2 + 11*d**2 - 5*d**2 + (-2*d + 2*d + d)*(-2*d - 2*d**2 + 2*d). 21*d**3 + d**2 Expand (3*p + 5*p - 2*p)*(-2*p**2 - 3*p**2 + p**2) - 73 + 73 + 21*p**3 + (-p**2 + 0*p + 0*p)*(-1 - p + 1). -2*p**3 Expand -6*a**5 + 29*a**5 + 52*a**5 + (2*a**3 + 0*a**3 + a**3)*(0*a**2 + 5*a**2 - 4*a**2). 78*a**5 Expand (0 - 3 + 0)*(-3*r + 13*r - 8*r - 3). -6*r + 9 Expand (4 + 56*w**2 - 36*w**2 - w + 3*w**2)*(-6*w**3 + 2*w**3 + 2*w**3). -46*w**5 + 2*w**4 - 8*w**3 Expand a**3 + a**3 + 3*a**4 - 12*a**3 - 4*a**3 + a**4 + 4*a**3 + (-5*a**3 + 2*a**3 + 5*a**3)*(-2*a + a + 0*a) - 2*a**4 + 3*a - 3*a + 0*a**4 - a**4 - a**4. -2*a**4 - 10*a**3 Expand 3*k**5 + 2*k**2 + 2*k**5 - 2*k**5 + 4*k**5 + k**4 - k**4 + (-15*k + 15*k + 8*k**2)*(k**3 + k**2 - k**2). 15*k**5 + 2*k**2 Expand (-29*l**4 - 49*l**3 + 49*l**3 + (l**3 + 0*l**3 - 3*l**3)*(0*l + 4*l - 3*l))*(-2 + 5 + 4). -217*l**4 Expand (976 - 47*m - 976)*(0 - 3 + 5)*(-8 - 5 + 3). 940*m Expand z - 2*z**2 - z + 7*z**2 - 19*z - 5*z**2 + 0*z**2 + (z - 3*z + 3*z)*(-8*z + z + 0*z). -7*z**2 - 19*z Expand 0*x**5 + x**5 - 3*x**5 + (-2*x**3 + 0 + 0)*(-2*x + 2*x - 3*x**2) + x + x**5 - x. 5*x**5 Expand (-411 - 115*r**3 + 413 - 37*r**3)*(-r - 1 + 1). 152*r**4 - 2*r Expand (0 + 7 + 3 - 4)*(6*w + 5*w - 3*w). 48*w Expand (470*t + 145*t - 384*t + 247*t)*((-5*t + 3*t + t)*(0*t**3 + 0*t**3 - 2*t**3) + 0*t**4 - 6*t**4 + 5*t**4 + 5*t**4 + t**4 - 3*t**4). 1912*t**5 Expand (3*c**2 - c**2 + 0*c**2)*(3*c**2 + 4*c - 4*c)*(9*c - 11*c + 55 + 17). -12*c**5 + 432*c**4 Expand (y**2 + 6517 - 6517 - 63*y)*(-y**2 + 2*y**2 - 3*y**2). -2*y**4 + 126*y**3 Expand (13 + 4 - 1)*(-1 + j + 2 - 4*j)*(-1 + 1 - 2*j). 96*j**2 - 32*j Expand (0 + 1 + 1)*(-4*z + 4*z - z**5) + z**5 - 7*z**5 + 4*z**5 + 2*z**2 - 2*z**2 + z**5 + 0*z**5 + 9*z**5 - 4*z**5 + 18*z**5 + 35 - 35. 20*z**5 Expand (0 + 0 + k**3)*(k - k - 2*k) + 3*k**4 - 4*k**4 + 2*k**4 - 103 + 113 + k**4 - 2*k**4. -2*k**4 + 10 Expand 4*n**2 + 14*n**2 - 6*n**2 - 2*n**2 + n**2 + 3*n**2 + (5*n - 4*n + 3*n)*(n + n - 3*n) - n**2 + 0*n**2 + 3*n**2 + (4 - 2 - 3)*(-2*n**2 + 2 - 2). 14*n**2 Expand -48 + 2*l**2 - 6649*l + 6649*l + (3*l - 6*l + l)*(3 + 3*l - 3) - l**2 + 7*l**2 - 4*l**2. -2*l**2 - 48 Expand (-3 + 3 - 2*a)*(0 + 4 + 0)*(10 - 4 - 52)*(3*a - 3*a - a). -368*a**2 Expand (3 + 1 - 2)*(-3 - 1 - 1)*(-5*u + 3*u - 8*u)*(-2 + 2 + 3)*(2*u**3 + u**3 - u**3)*(5 + 0 - 3). 1200*u**4 Expand (-5*t**2 + 5*t**2 - 3*t**2)*(273*t - 149*t - 138*t) + 2*t**3 - 6*t + 6*t - 3*t + t**3 + 3*t. 45*t**3 Expand (-39*y**2 + 101*y**2 - 57*y**2 + 2*y**3 + 4)*(2*y - 2*y - y**2). -2*y**5 - 5*y**4 - 4*y**2 Expand (1 + 1 + 0)*(-4*w + 2*w + w) - 11*w - 125 + 125. -13*w Expand 5*s - 2*s - 2*s + (4 - 2 + 2)*(39 + 5*s + s - 30). 25*s + 36 Expand (0 + 0 - 2*j**3)*(47 - 75 - 73)*(-8*j**2 - 3 + 1 - j + 10*j**2). 404*j**5 - 202*j**4 - 404*j**3 Expand (1 - 1 - 2*z)*(634 - 66*z + 68*z + 363). -4*z**2 - 1994*z Expand (2 - 2 + 2*c)*(-11*c - 22*c + 7*c + (c + 0*c - 3*c)*(4 - 1 - 2) + 1 - 1 - c - c + c - c). -60*c**2 Expand (2 - 2 - r**3)*(5*r + 0*r - 4*r + 44 - 44 + 8*r + (0 - 1 + 0)*(-2*r + 3*r + r) + (13*r - 3*r + 4*r)*(0 - 2 + 0))*(2*r - 3*r + 3*r). 42*r**5 Expand (-2*z + 1 - 3 + 4)*(228*z + 130*z - 443*z)*(3 - 2 + 0). 170*z**2 - 170*z Expand (-4*s + 4*s + 2*s**3 + 2*s**3 + 0*s + 0*s + (-2*s**3 + 0*s**3 + s**3)*(1 + 3 - 3) - 3 + 3 - 2*s**3)*(197 - 71 + 0). 126*s**3 Expand 4*f**2 + 15*f**2 - 9*f**2 + (3*f - 3*f**2 - 3*f)*(3 - 1 - 3) + (3 - 2 + 0)*(f**2 + 0*f**2 - 3*f**2). 11*f**2 Expand -2 + 2*m**4 + 2 + (-53*m**3 + 35*m**3 - 40*m**3 + (-1 + 2*m**2 + 1)*(-3*m + 7*m - 2*m))*(2 + 4 - 5)*(4*m + 13*m - 3*m). -754*m**4 Expand (-113*o + 1 + 0 + 115*o)*(0*o**2 - o**2 - 4*o**2). -10*o**3 - 5*o**2 Expand -4*g**2 - 844*g**4 + 824*g**4 + 5*g**2 + 2*g**4 + 9*g - 9*g - 2*g**4 - g + g + (5 - 5 - 1)*(-g + g**4 + g). -21*g**4 + g**2 Expand (0*h**2 - h**2 + 2*h**2)*(2 + 11*h - 2 + (3*h + h - 3*h)*(-4 + 0 + 2) - 2*h - 3*h + 0*h). 4*h**3 Expand (-4*p**4 + 5*p**4 - 3*p**4)*(-1 + 1 + 2*p)*(13 + 25 - 24) - 4*p**5 - 8*p**5 + 5*p**5. -63*p**5 Expand (2534*u - 1 - 1256*u - 1252*u)*(-2 + 0 - 2). -104*u + 4 Expand (-3*k**2 - 17*k**2 - 42*k**2)*(3 - 3 - k**2)*(1 + 3 + 3). 434*k**4 Expand 3 - 3 - 2*q + q - 2*q - q + (-3 + 0 + 2)*(2*q - q + 0*q) + 2*q - 3*q + 0*q + 94 + 61 - 154 + 38*q. 32*q + 1 Expand (0 - 3 + 2)*(2 - 2 - 2)*(-29*k + 31*k + 42*k). 88*k Expand (-t**3 + t**3 + t**3)*(2 - 2 - 2) - t**3 - t**3 + t**3 + (20*t - 40*t + 86*t)*(2*t**2 + 0*t**2 - 5*t**2). -201*t**3 Expand (4 - 3 + 1)*(-3*v**3 + 6*v**3 - 4*v**3) + 2*v**3 + 2*v - 2*v + (v**3 - 2*v**3 - v**3)*(0 + 1 - 2). 2*v**3 Expand (-w**3 - 3*w**3 + w**3)*(25 + 13 - 50)*(-2 + 2*w - 2*w - w**2). -36*w**5 - 72*w**3 Expand (-239 - 39*m + 239)*(0*m - 7*m**3 + 0*m). 273*m**4 Expand (4 - 4 - 2*q)*(431*q + 301*q - 419*q). -626*q**2 Expand (3*p - 5 + 5)*(-1 - 2*p + 1 + (p - 4*p + p)*(-5 + 0 + 4) + p - p - p)*(179 - 51 - 62). -198*p**2 Expand (-41*u + 846 - 846)*(-1 + 10 - 37). 1148*u Expand (-49 - 99 - 33 + (3 + 2 - 7)*(0 - 3 + 4) + 0 - 1 + 2)*(-j**5 - 3*j**3 + 3*j**3). 182*j**5 Expand (-24413 + 10413 + 11192)*(-2*o + o - o). 5616*o Expand 4 + m**5 - 4 + (-4*m - 2*m + 4*m)*(16*m - 2069 + 2069 + m**4). -m**5 - 32*m**2 Expand (0 + 1 - 2)*(19 - 2*w - 12 - 8)*(-2 - 3*w + 2 + 1). -6*w**2 - w + 1 Expand (r**4 + 4*r**2 - 4*r**2)*(-5 - 5 + 2 + 2 - 4 + 4 + (-3 + 0 + 2)*(-2 + 2 - 1) + (2 + 3 - 2)*(-2 - 2 + 3)). -8*r**4 Expand (-19*q**2 + 9*q**2 - 28*q**2)*((q + 0 + 0)*(q + 3 - 3) - 2*q**2 - 5*q**2 - 3*q**2)*(2 + 1 - 2). 342*q**4 Expand (63 - 269 - 109)*(-2*v - v + 2*v + 2). 315*v - 630 Expand (5*i - 3*i - i - i + i + i + (2*i + i - 4*i)*(-2 + 2 - 2) + 0*i - 3*i + 2*i + 1 - 1 + i + (-1 + 4 - 4)*(0*i - 2*i + i))*(i**3 - 10*i**3 + 4*i**3). -25*i**4 Expand (3*n**2 - 3*n**2 - 2*n**2)*(-150*n**2 + 431*n**2 - 171*n**2). -2
{ "pile_set_name": "DM Mathematics" }
246 is divided by 2986? 2274 Calculate the remainder when 3092450 is divided by 7711. 339 Calculate the remainder when 806866 is divided by 863. 824 What is the remainder when 3218818 is divided by 32840? 498 What is the remainder when 162954777 is divided by 14? 13 Calculate the remainder when 156952 is divided by 969. 943 What is the remainder when 612604 is divided by 52? 44 What is the remainder when 554866 is divided by 13200? 466 What is the remainder when 1415499 is divided by 94366? 9 What is the remainder when 17035806 is divided by 752? 750 Calculate the remainder when 263775 is divided by 32941. 247 What is the remainder when 447564 is divided by 140? 124 Calculate the remainder when 5840 is divided by 5056. 784 Calculate the remainder when 4338044 is divided by 7. 4 Calculate the remainder when 14227 is divided by 3024. 2131 What is the remainder when 4874055 is divided by 7663? 387 Calculate the remainder when 2199 is divided by 1946. 253 Calculate the remainder when 6655251 is divided by 2614. 7 Calculate the remainder when 450351 is divided by 10983. 48 Calculate the remainder when 26582951 is divided by 18. 11 Calculate the remainder when 51568660 is divided by 8. 4 What is the remainder when 6040890 is divided by 4057? 17 What is the remainder when 902471 is divided by 174? 107 Calculate the remainder when 42102958 is divided by 7017150. 58 Calculate the remainder when 17724005 is divided by 2346. 2321 What is the remainder when 2434555 is divided by 1210? 35 Calculate the remainder when 173311 is divided by 33. 28 What is the remainder when 35011 is divided by 17011? 989 Calculate the remainder when 97517936 is divided by 2405. 2401 Calculate the remainder when 108014131 is divided by 52. 43 What is the remainder when 92747465 is divided by 177? 173 Calculate the remainder when 48296 is divided by 4557. 2726 What is the remainder when 4532667 is divided by 947? 325 What is the remainder when 46168715 is divided by 435? 425 What is the remainder when 8875975 is divided by 6? 1 Calculate the remainder when 3038433 is divided by 1519182. 69 What is the remainder when 11135534 is divided by 3711839? 17 What is the remainder when 20983711 is divided by 1614130? 21 What is the remainder when 18842238 is divided by 4625? 4613 Calculate the remainder when 30253888 is divided by 129290. 28 Calculate the remainder when 1735415 is divided by 6382. 5893 What is the remainder when 7650824 is divided by 513? 455 What is the remainder when 67567818 is divided by 242? 208 What is the remainder when 55154 is divided by 1196? 138 Calculate the remainder when 10147193 is divided by 1035. 53 Calculate the remainder when 6749695 is divided by 337483. 35 What is the remainder when 71541 is divided by 1406? 1241 Calculate the remainder when 3232333 is divided by 47. 2 Calculate the remainder when 1134408 is divided by 129. 111 Calculate the remainder when 43640 is divided by 5426. 232 What is the remainder when 587164 is divided by 39129? 229 Calculate the remainder when 122213705 is divided by 2980822. 3 What is the remainder when 8812589 is divided by 2773? 2768 Calculate the remainder when 1348114 is divided by 53922. 64 What is the remainder when 947262 is divided by 779? 777 Calculate the remainder when 35876003 is divided by 64. 35 What is the remainder when 1227119 is divided by 402? 215 What is the remainder when 554167 is divided by 137926? 2463 Calculate the remainder when 698509 is divided by 28. 21 What is the remainder when 434685 is divided by 23? 8 What is the remainder when 980183 is divided by 326719? 26 What is the remainder when 844885 is divided by 1498? 13 Calculate the remainder when 11827499 is divided by 15. 14 Calculate the remainder when 17925 is divided by 1365. 180 What is the remainder when 1186954069 is divided by 446? 443 What is the remainder when 7864269 is divided by 16282? 63 Calculate the remainder when 1143692 is divided by 98. 32 Calculate the remainder when 198836 is divided by 3556. 3256 What is the remainder when 37511 is divided by 2816? 903 What is the remainder when 778586 is divided by 778520? 66 What is the remainder when 237622 is divided by 79075? 397 Calculate the remainder when 6153609 is divided by 22707. 12 What is the remainder when 30480226 is divided by 12? 10 What is the remainder when 55993867 is divided by 27? 25 Calculate the remainder when 8008493 is divided by 14. 3 Calculate the remainder when 399976 is divided by 12902. 14 What is the remainder when 631180 is divided by 210387? 19 What is the remainder when 217666 is divided by 12083? 172 What is the remainder when 35449686 is divided by 1421? 1420 Calculate the remainder when 4367557 is divided by 2068. 2009 Calculate the remainder when 73939 is divided by 1296. 67 Calculate the remainder when 144650 is divided by 144579. 71 What is the remainder when 860363 is divided by 214911? 719 Calculate the remainder when 3033484 is divided by 1966. 1912 What is the remainder when 68143 is divided by 34067? 9 What is the remainder when 76587484 is divided by 1901? 1897 What is the remainder when 3933814 is divided by 864? 22 Calculate the remainder when 1318779 is divided by 1672. 1243 What is the remainder when 1690240 is divided by 30? 10 What is the remainder when 1363437 is divided by 38? 35 What is the remainder when 60632 is divided by 6060? 32 Calculate the remainder when 111197 is divided by 10108. 9 What is the remainder when 1095614 is divided by 32? 30 Calculate the remainder when 1734955 is divided by 297. 178 Calculate the remainder when 294388 is divided by 147094. 200 What is the remainder when 2616906 is divided by 168? 138 What is the remainder when 17955012 is divided by 1381152? 36 Calculate the remainder when 30365 is divided by 28339. 2026 What is the remainder when 66500 is divided by 6643? 70 Calculate the remainder when 2171979 is divided by 19. 13 Calculate the remainder when 21999 is divided by 2202. 2181 What is the remainder when 1197408 is divided by 398552? 1752 What is the remainder when 640467 is divided by 6? 3 Calculate the remainder when 37260 is divided by 17756. 1748 What is the remainder when 7711234 is divided by 196? 6 What is the remainder when 8329 is divided by 3920? 489 Calculate the remainder when 4852932 is divided by 1026. 978 Calculate the remainder when 803362 is divided by 915. 907 Calculate the remainder when 1031794 is divided by 210. 64 What is the remainder when 83110 is divided by 3776? 38 What is the remainder when 5097208 is divided by 1334? 1328 Calculate the remainder when 125775 is divided by 2205. 90 What is the remainder when 111758 is divided by 3959? 906 Calculate the remainder when 918372 is divided by 306118. 18 What is the remainder when 18474328 is divided by 3758? 0 What is the remainder when 136422 is divided by 865? 617 Calculate the remainder when 1070577 is divided by 129. 6 What is the remainder when 14403 is divided by 397? 111 Calculate the remainder when 1438451 is divided by 479193. 872 Calculate the remainder when 102689 is divided by 185. 14 Calculate the remainder when 2658 is divided by 2159. 499 Calculate the remainder when 146545 is divided by 2525. 95 What is the remainder when 10511920 is divided by 4887? 4870 Calculate the remainder when 14433441 is divided by 6. 3 Calculate the remainder when 228317 is divided by 35. 12 What is the remainder when 726841 is divided by 362358? 2125 What is the remainder when 261032 is divided by 6174? 1724 What is the remainder when 14996 is divided by 14509? 487 Calculate the remainder when 32915738 is divided by 86. 12 Calculate the remainder when 1765735 is divided by 8698. 41 Calculate the remainder when 73658338 is divided by 45. 43 What is the remainder when 31316693 is divided by 15658261? 171 What is the remainder when 15378 is divided by 13310? 2068 Calculate the remainder when 19652 is divided by 5465. 3257 What is the remainder when 69327 is divided by 9902? 13 What is the remainder when 5764510 is divided by 107? 99 What is the remainder when 945958 is divided by 3740? 3478 What is the remainder when 8029383 is divided by 65? 63 What is the remainder when 4867081 is divided by 6272? 9 Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
aluate (-31)/((-434)/(-280))*2/(-8). 5 Calculate 8/2*(-10)/(-8). 5 Evaluate 173/(-7612)*(-22)/4. 1/8 What is the value of ((-20)/35)/(4/2)? -2/7 What is 26/65*20*-1? -8 1/((-1)/5)*7/35 -1 Calculate 9/15*15/(-3)*-1. 3 What is (3/4)/(27/(-6))? -1/6 (68/918)/((-3)/(18/(-4))) 1/9 (12/(-6))/((-6)/(-9)) -3 Calculate ((-14)/105)/((-9)/(-15)). -2/9 ((-48)/1260)/(10/25) -2/21 Calculate ((-10)/(-25))/(16/4)*-2. -1/5 What is (-8)/6*((-27)/6)/(-3)? -2 What is the value of (-3)/((-16)/4*4/(-16))? -3 What is the value of ((-15)/(-5))/(-3)*3? -3 (25/40)/((-2)/(-8)) 5/2 What is 16/(-24)*(-1)/2*1? 1/3 What is the value of (6/9)/((-3)/(18/(-4)))? 1 Calculate ((-5)/9)/((-20)/(-45)). -5/4 Evaluate ((-7)/245*-7)/(-1). -1/5 What is the value of ((32/8)/(-24)*-42)/2? 7/2 What is (-6)/(4/((-12)/6))? 3 What is 1*(-15)/6*(-1)/(-15)? -1/6 (-8)/6*(-4)/24 2/9 What is the value of (-36)/9*6/16*2? -3 Calculate (-1*17/17)/(2/6). -3 What is the value of ((-3)/2)/(10/(200/(-15)))? 2 (-24)/20*(-60)/18 4 Calculate 114/(-1178)*(-6)/(-9). -2/31 Calculate ((2/(-2))/1)/(-5). 1/5 Evaluate (-2*(-2)/(-12))/(12/18). -1/2 (-3*(-35)/(-63))/((-15)/36) 4 Calculate (9*(-7)/(-126))/1*-10. -5 Calculate 1/(-6)*-14*(-58)/(-609). 2/9 What is the value of ((-20)/(-105))/(1*8/(-12))? -2/7 (2/12*3)/(19/(-114)) -3 What is ((-12)/(-22))/((-88)/(-121))? 3/4 What is 160/(-40)*(-2)/(-4)? -2 Calculate 4/(-1)*(-1)/16. 1/4 What is -3*1*(-2)/18*3? 1 Evaluate -2*(-35)/(-20)*20/(-14). 5 Evaluate (3/(9/5))/((-2)/6). -5 What is the value of 1*16/(-48)*(-1)/1? 1/3 Evaluate (14/(-5))/((-175)/250). 4 What is (24/15)/((-2)/(-5))? 4 (-12)/3*(-50)/(-40) -5 What is the value of -1*(-4)/(-12)*1*3? -1 What is the value of -1*22/(-77)*(-4)/4? -2/7 What is -1*4*3*(-1)/(-18)? -2/3 What is the value of ((-4)/(-10))/((-7)/((-210)/(-12)))? -1 What is the value of (((-4)/(-12))/1)/(3/(-27))? -3 What is the value of (-7*(-11)/(-308))/((-2)/4)? 1/2 Calculate 5/(-40)*28/(-7). 1/2 What is the value of (4/60)/(12/30)? 1/6 Evaluate (-85)/(-68)*2/(-20). -1/8 Calculate -1*3/15*5. -1 What is (((-4)/(-30))/1)/(147/(-490))? -4/9 What is the value of (13/(13/(-4)))/((-8)/(-12))? -6 Calculate 5/3*(-3)/(-25). 1/5 What is 3/((3/((-3)/(-10)))/2)? 3/5 What is the value of (-2)/(-1)*(-2)/14? -2/7 Calculate ((-2)/10)/(363/(-605)). 1/3 Calculate (-14)/245*(-15)/(-6). -1/7 Calculate -2*(-4)/(-16)*10. -5 What is ((-2)/3)/(50/15)? -1/5 Calculate (2/70)/((-17)/(-85)). 1/7 (-6*4/(-126))/(6/(-7)) -2/9 What is 10*(27/12)/(-9)? -5/2 Evaluate (1*-1)/((-189)/(-108)). -4/7 Calculate 8*(-7)/21*(-3)/(-4). -2 Evaluate ((-6)/7)/(54/84). -4/3 ((-2)/30*-4)/((-4)/(-10)) 2/3 Evaluate (-42)/(-91)*(-8)/(-24). 2/13 What is (-3*1)/(49/49)? -3 Calculate (-6)/3*3*(-8)/16. 3 5/(-21)*((-6)/(-15))/(-1) 2/21 4*((-60)/(-6))/10 4 Calculate 57/(-76)*8/18. -1/3 Evaluate ((-1)/33)/((-2)/(-12)). -2/11 Evaluate 15/20*(-252)/(-27). 7 What is (((-2)/(-1))/(-2))/(30/12)? -2/5 (4/(-6))/(4/((-4)/(-1))) -2/3 Evaluate (-6)/(-15)*-1*(-20)/(-40). -1/5 (-2)/(((-11)/66)/((-1)/4)) -3 Evaluate (8/(-108))/((-1)/6*2). 2/9 Calculate (45/18)/((-130)/(-8)). 2/13 What is ((22/(-88))/((-2)/16))/(-1)? -2 Calculate (-1*3)/((-189)/(-14)). -2/9 Calculate 3*(-2)/(-16)*(-10)/15. -1/4 What is the value of 1/(10/120*-28)? -3/7 What is the value of ((-2)/4)/(3/(-30)*-5)? -1 Evaluate (-3*(-3)/(-27))/(4/4). -1/3 What is 1*-8*((-35)/10)/(-7)? -4 (99/(-9))/99*6 -2/3 What is the value of ((8/(-2))/12)/((-2)/(-24))? -4 What is ((-30)/72)/((-6)/54*3)? 5/4 Evaluate ((-18)/54)/((-2)/(18/15)). 1/5 Calculate (-120)/100*(-1)/3. 2/5 What is (-16)/(-6)*(1305/30)/29? 4 What is ((-12)/(-60))/((-10)/(-25))? 1/2 What is (-72)/(-112)*28/(-24)? -3/4 Calculate 5/5*(-5)/5. -1 Evaluate (5/(-15)*0)/(-2). 0 Calculate (-10)/(-4)*(-1)/((-15)/(-12)). -2 ((-4)/5)/(28/20) -4/7 Evaluate ((-12)/(72/30))/(1*-1). 5 Calculate 12/6*10/(-4). -5 What is (-5)/((12/(-8))/(-3)*-2)? 5 Calculate ((-45)/(-50))/(2*12/(-20)). -3/4 Calculate 4/(16/(-28)*(-77)/2). 2/11 What is (354/(-295))/(-2*1/5)? 3 What is the value of ((-100)/(-125))/(28/(-10))? -2/7 (-4)/96*-1*12/(-6) -1/12 (-4)/((3/(-6))/(1/(-2))) -4 What is 6/10*9/((-72)/5)? -3/8 What is the value of (28*(-3)/(-18))/((-6)/(-9))? 7 Calculate ((27/4)/9)/(-3). -1/4 What is the value of 2/(-6)*(-15)/35*-1? -1/7 Calculate 4/(((-5)/5)/((-1)/(-2))). -2 Calculate ((-15)/6)/(-10*5/120). 6 What is (2/(-8)*(-20)/(-15))/1? -1/3 What is the value of 22/(-44)*(-1)/((-3)/(-4))? 2/3 168/147*49/(-14) -4 Calculate -2*(-3)/(-6)*1. -1 ((-9)/(-9))/((-36)/9) -1/4 What is the value of (-1)/(12/8)*(-2)/(-8)? -1/6 What is the value of 3/7*28*(-10)/(-80)? 3/2 What is ((-2)/3)/(((-4)/3)/2)? 1 Evaluate 28/70*15/(-18). -1/3 164/(-820)*10/(-1) 2 Calculate ((-6)/26)/((-18)/(-12)). -2/13 What is the value of (6*(-4)/16)/(12/(-6))? 3/4 What is the value of (1/1)/2*-2? -1 (4/72*6)/((-2)/30) -5 Calculate (-4)/4*4*(-1)/26. 2/13 Evaluate (-4)/6*60/(-32)*-4. -5 Evaluate 9/(-14)*(-12)/(-18). -3/7 (1/(-2))/(11/77) -7/2 1*-5*24/40 -3 2/(-30)*(-15)/(-5) -1/5 What is the value of ((-16)/(-18))/((-252)/(-189))? 2/3 (2/(-4)*0)/(3/3) 0 Calculate ((-2)/(-3)*3)/(32/16). 1 What is 1/(-4)*(-8)/12? 1/6 Evaluate 36/(-12)*(-4)/(-6). -2 Calculate 4/(-8)*-1*(-8)/10. -2/5 Calculate -1*(10/12)/((-1)/(-6)). -5 Evaluate ((-16)/(-32))/((-21)/18). -3/7 (30/(-75))/(8*6/20) -1/6 Evaluate 0/((16/(-4))/(-4)). 0 Evaluate 6*9/54*2/(-2). -1 Calculate ((-4)/2)/(-76)*196/49. 2/19 Evaluate (-4)/6*(-54)/9. 4 Evaluate ((27/(-12))/(-9))/(22/16). 2/11 What is (-2*(-6)/42)/((-24)/14)? -1/6 What is the value of (10/(-15))/(-1)*3/23? 2/23 (25/10*2/(-10))/2 -1/4 Calculate 51/(-170)*4/6. -1/5 (9/(-48)*1)/(10/(-40)) 3/4 Calculate ((-12)/16*1)/((-42)/8). 1/7 What is the value of (-2)/(4*3/(-24))? 4 What is (-6)/2*6/(96/(-16))? 3 Evaluate (2/(-6)*0)/(4/2). 0 What is the value of 6/((-18)/(-5))*(-6)/(-2)? 5 ((-7)/14)/(16/256) -8 Calculate 4/6*7*12/(-336). -1/6 What is the value of (-21)/((-14196)/(-26))*(-8)/(-2)? -2/13 Evaluate 48/3*1*(-1)/2. -8 Calculate (1*(-9)/12)/(675/(-120)). 2/15 Evaluate ((-6)/(-14))/(-5*(-18)/(-630)). -3 Calculate 4/(-2)*(126/(-14))/(-18). -1 Calculate 3/(-5)*-5*(-4)/4. -3 What is the value of (2/3)/((-356)/534)? -1 Calculate (2/(-14))/(-6*(-4)/(-56)). 1/3 Calculate (-240)/420*42/(-4). 6 Calculate (-10)/3*207/138. -5 Evaluate ((-3)/(-20)*2)/((-22)/44). -3/5 Evaluate ((-16)/6)/4*24/(-72). 2/9 What is the value of 17/68*(-6)/(-3)? 1/2 What is the value of -2*(-2)/8*24/(-6)? -2 Calculate 7*5/(-175)*0/1. 0 What is (2/(-12))/(4/12)? -1/2 517/(-188)*(-1)/11*2 1/2 What is 12/(-10)*115/621? -2/9 Calculate ((-28)/8)/(-7)*4/(-7). -2/7 Calculate 8/(-14)*5/30. -2/21 What is (-6)/((24/20)/((-10)/25))? 2 What is the value of (((-12)/(-6))/(-2))/(2/4)? -2 What is 78/(-208)*(-3)/9*1? 1/8 Evaluate 1*(7/(-28))/(1/(-4)). 1 Calculate ((-22)/(-66))/((-2)/(-30)). 5 Calculate (10/12)/(130/52)*15. 5 (12/(-4))/(32/4) -3/8 (4/13)/(8/(-4)) -2/13 What is 18/42*(-35)/(-10)? 3/2 Calculate 1/((-2)/(-2))*51/136. 3/8 What is the value of 9*-2*2*(-6)/24? 9 Calculate (2/((-24)/(-3)))/(1/(-4)). -1 2/10*(-580)/754 -2/13 1/(((-6)/2)/(-15)) 5 What is the value of 3*-2*(-14)/14? 6 What is (16*(-3)/(-84))/(2/(-7))? -2 ((-22)/(-12))/11*-3 -1/2 -8*((-1)/6)/(9/27) 4 Calculate (48/32)/((-1)/((-10)/3)). 5 What is 16/(-56)*((-84)/(-27))/4? -2/9 Evaluate ((-4)/(-6))/((-44)/(-66)). 1 Evaluate ((-3)/1)/15*20/(-6). 2/3 What is the value of -3*(40/45)/(-8)? 1/3 6/(-9)*2/((-8)/18) 3 What is the value of 60/18*12/(-128)*-4? 5/4 What is the value of (7/(-21))/((-4)/72)? 6 Calculate -14*18/72*(-6)/7. 3 Evaluate (-21)/(-24)*4/14. 1/4 (0/(-1))/(5/5) 0 What is 70/175*15/27? 2/9 What is the value of (3/90*5)/(6/9)? 1/4 What is the value of (140/(-168))/((-3)/9*35)? 1/14 Calculate ((-182)/(-117))/(-14)*(-2)/(-2). -1/9 What is the value of 4*(-42)/(-56)*-1? -3 What is 1/(-9)*((-22)/2)/(-11)? -1/9 What is ((24/4)/48)/((-3)/4)? -1/6 What is the value of (24/8)/(2*(-9)/(-12))? 2 Evaluate (5/2)/(3*8/48). 5 Evaluate (60/10)/(2*(-3)/4). -4 What is 14/1*144/1512? 4/3 Evaluate (1/(-2))/1*0/(-12). 0 (-8)/6*-3*(-22)/(-88) 1 What is the value of (5*(-3)/(-20))/((-11)/(-132))? 9 Evaluate (59/354)/(2/4). 1/3 What is 1/3*6/60*-6? -1/5 Calculate (5*(-91)/(-65))/1. 7 3*2/(-4)*(-32)/264 2/11 What is 24/84*7*2? 4 ((-14)/(35/5))/(2/
{ "pile_set_name": "DM Mathematics" }
**2 + p + q*v and give d. 18 Rearrange -6*k**2 + 2577*k - 2577*k to s + h*k + r*k**2 and give r. -6 Rearrange 0*p**2 - 5*p**2 - 9*p**2 to the form v*p + t + m*p**2 and give v. 0 Express -2*n**4 - 2*n**2 - 11 + 4*n**3 + 6 + 7 as b*n**4 + q + w*n**3 + x*n + p*n**2 and give w. 4 Express -2*j**2 - 2*j**3 + 6 - 7 + j**3 as a*j + u*j**2 + d*j**3 + v and give v. -1 Express (-3*n**2 + 2*n**3 + 3*n**2)*(6*n - 3*n + n) + 3*n**2 + 3*n**4 - 3*n**2 as s*n**3 + h*n + g*n**2 + m + t*n**4 and give t. 11 Express (17*u - 17*u - 15*u)*(0*u + 0*u - 2*u**2) - u**3 - 2*u**2 + 2*u**2 in the form j + d*u**3 + o*u**2 + c*u and give d. 29 Express 23*y - 11*y - 11*y + 3*y**4 - 2*y**2 + 2 as q + u*y**4 + s*y**2 + j*y + l*y**3 and give u. 3 Express 46*x - 89*x - x**4 + 2*x**2 + 45*x - 6*x**3 as k*x**4 + l + o*x**2 + u*x**3 + f*x and give k. -1 Express (-3 + 2 + 3)*(p + p + 0*p)*(21*p**2 + 7*p - 7*p) in the form h*p**2 + t + z*p + m*p**3 and give m. 84 Rearrange -3*y + 2*y + 0*y + (-13 - 56 + 26)*(3 - 3 - y)*(-4 - 1 + 3) to the form i + c*y and give c. -87 Express (4*i - 3*i - 2*i + (0*i + 0*i + i)*(1 + 1 - 1) + 2*i + 2*i - 3*i)*(13 - 11*i - 13) in the form g*i**2 + d*i + v and give g. -11 Express (-3*p + 3*p + p**2)*(-p + 2*p + 0*p) + 18447*p - 18447*p - 105*p**3 in the form n*p**2 + b*p**3 + v + z*p and give b. -104 Express (5*k - 3*k + 0*k)*(5 - 3 + 0 - 5 - 3 + 3 + 4 + 3 - 5 + (-2 + 0 + 0)*(1 + 0 + 0) + 0 + 2 - 3 - 5 + 1 + 3 - 2 - 2 + 2 - 2 + 2 - 1) as z*k + w and give z. -16 Express -8 - 5*b + 10 + 0 as o + y*b and give o. 2 Rearrange -5*d + 4*d - 6*d**2 + d**2 to v*d + b + q*d**2 and give v. -1 Express 2*t**2 + t**4 - 2*t**2 + (-t**3 - 7*t**3 + 0*t**3)*(-2*t - 2*t + 3*t) + 6*t**4 - 3*t**4 - t**4 as a*t**4 + k*t**3 + i + x*t + w*t**2 and give i. 0 Express (3*m + 3*m - 7*m)*(-3*m**2 + 3*m - 3*m) + 2*m**3 - 2 + 2 + 4*m**2 + 19 - m**3 - 9 - 11 in the form v + s*m**3 + l*m + h*m**2 and give s. 4 Express -3 - 7*y**2 + 7*y**2 + 3*y**2 - 4*y**2 as s*y**2 + u*y + p and give s. -1 Express -5*n**2 + 2*n**4 + 20 - n**4 - 21 in the form q*n**2 + o*n + h*n**4 + r*n**3 + g and give o. 0 Express (5 - 4 + 3)*(-1 + 2*o + 1) - o + 3*o - 3*o + 3 - 3 + o - o + 5*o - 3*o + (-3 + 3 + 2*o)*(-2 + 2 + 1) + 5*o + 0*o - 4*o in the form g + w*o and give w. 12 Rearrange -r**3 - 6 - 1 + 32*r**4 - 40*r**4 + 4 to the form h*r**3 + s*r**2 + f*r + w*r**4 + z and give z. -3 Express (-6 + 3 + 0)*(-2*c - 3*c + 7*c) as n*c + m and give n. -6 Express (3*i**2 - 2*i**3 - 3*i**2)*(-1 - 1 + 1) + 386*i - 8*i**3 - 386*i + (2*i - 2*i + 2*i**3)*(1 + 4 - 4) in the form d + l*i**3 + v*i + x*i**2 and give l. -4 Express (-x + 1 - 1)*(-x - x + x)*(-4 + 3 - 16) in the form k*x**2 + r*x + i and give k. -17 Express -9*l**4 + 4*l - l + 20*l**3 + 1 - 4*l - 19*l**3 in the form y*l**4 + r*l + s*l**2 + h + u*l**3 and give h. 1 Rearrange 149*r - 117*r - 102*r to the form b + s*r and give b. 0 Rearrange ((-1 + 1 - 2)*(-4 - 1 + 4) - 3 + 3 + 1)*(5*a**3 - 1 - 95*a**2 + 95*a**2) to the form r + s*a**3 + v*a**2 + u*a and give s. 15 Rearrange -4*u + 2*u**4 - 9 + 7*u**3 + 5*u + u**2 - 8*u**3 to w + v*u**3 + j*u + k*u**4 + n*u**2 and give w. -9 Express (-2 + 2 - q)*(-2 - 2 - 5)*(0*q**2 - q**2 + 2*q**2) in the form l + c*q + v*q**3 + r*q**2 and give v. 9 Rearrange (6 - 4 - 1)*(a - a - 2*a**2) - 6*a**2 + 16 - 6*a**2 - 18 to b*a + n*a**2 + i and give n. -14 Express 3*n**4 - n**2 + 6*n**3 - 7*n**3 - 5*n**4 + 3*n**3 in the form y*n**3 + r*n**2 + o*n + l + j*n**4 and give j. -2 Express (4 - 4 + 2)*(0 - 4 + 6)*(14 + 4*u - 14) + 2*u + 3*u - 6*u + (2 - 1 + 1)*(1 + 2*u - 1) in the form d*u + s and give d. 19 Express 41*n - 4*n**3 - 4*n**2 - 39*n + 4*n**2 in the form a*n**2 + s + t*n + q*n**3 and give q. -4 Express (4*j**3 - 4*j**3 - 2*j**3)*(-2*j - 2*j - 2*j) as z*j + a*j**3 + d + g*j**4 + i*j**2 and give g. 12 Rearrange -3*i - 9 + 13 - 2 - 9 to r + m*i and give m. -3 Express (u + 2*u - 2*u)*(-7 + 19 - 6)*(3*u - 5*u + 0*u) in the form z*u + o + p*u**2 and give p. -12 Express 4 + 2*i + i - i - 6*i in the form r*i + g and give r. -4 Rearrange (4*g - 7*g - 20*g)*(2*g**3 - 6*g**3 + 3*g**3) to a + c*g + h*g**2 + k*g**3 + r*g**4 and give r. 23 Rearrange (3 - 1 - 4)*((-1 - 1 + 1)*(-4*v - v + 4*v) + 2*v + v - 2*v + (-1 - 5 + 4)*(-3*v + v + v) + 3*v + 0 + 0) to the form n*v + c and give n. -14 Rearrange -14*v**3 - 24 + 4*v**2 - 2*v**2 + 24 to h*v + l*v**2 + j + x*v**3 and give x. -14 Express 6*y + 2 - 5*y - 16*y**2 + 15*y + 15*y**2 in the form x*y + u*y**2 + r and give r. 2 Rearrange 40 - 19*w - 40 to the form o*w + v and give o. -19 Rearrange (-2*l + 2*l + 2*l)*((-1 + 2 - 11)*(6 - 2 + 3) + 2 + 1 + 0)*(-2 + 2 - 2*l) to the form j + w*l**2 + p*l and give w. 268 Rearrange 15*k**2 + 125*k - 125*k to the form t*k**2 + i + c*k and give t. 15 Express 15*k**3 + 11*k**3 - 3 - 28*k**3 - 1 in the form s + n*k**3 + p*k + u*k**2 and give s. -4 Express ((2*i + 1 - 1)*(i + i - 3*i) - 10 + 10 - 8*i**2)*(1 - 3 + 3) as s*i + h + k*i**2 and give k. -10 Rearrange 28*m - 34*m - 34*m to the form h*m + p and give h. -40 Express -3*g**3 - 3*g + 0*g**3 - 2*g**2 + 1 - 5*g**3 + 3*g**3 as t*g**2 + u*g**3 + w + a*g and give a. -3 Rearrange 0 - 3*i + 0 + (i - 3*i + i)*(-5 - 7 + 2) to the form m*i + j and give m. 7 Express 11 - 3 - 4*n - 11 in the form z*n + j and give j. -3 Rearrange -2*u**4 + u**3 + 9*u**3 + u**2 - u - 10*u**3 to the form n + f*u**4 + k*u**2 + x*u**3 + q*u and give q. -1 Rearrange (1 - 1 - 1)*(j**2 + j**2 + j**2) + (j - 2 + 2)*(5*j + 10 - 10) to f + t*j + c*j**2 and give c. 2 Rearrange 2*r + 0*r - r + (-2 - 1 + 1)*(r + 0*r - 3*r) - 2*r + r + 0*r - 15*r - 19*r - 3 + 36*r to the form a + t*r and give t. 6 Express (-6*s + 4*s + 4*s)*(3*s**2 + s**2 - 3*s**2) + (3*s**2 - 2*s**2 - 3*s**2)*(8*s - 4 + 4) as k + f*s**2 + d*s + a*s**3 and give a. -14 Express (-2 + 6 - 2)*(3*k + 3*k - 5*k)*(1 - 2 + 5)*(-2 - 2 + 2) in the form t*k + p and give t. -16 Rearrange (-2 + 0 + 5)*(3*b**2 + 0*b**2 - b**2)*(61 - 61 - 21*b**2) to the form o*b**2 + v*b**3 + p*b + r*b**4 + k and give k. 0 Express (0*p - 4*p - 5*p)*(0 + 3 - 1) in the form y + w*p and give y. 0 Rearrange -b**2 - 2*b**2 - 2*b**3 - 6 + 44*b - 46*b to p + f*b + q*b**3 + l*b**2 and give f. -2 Express (3*o + 133 - 133)*(-4*o + 0*o + 3*o) as i + s*o + h*o**2 and give h. -3 Rearrange 12*g + 0*g + 14*g - 7*g to k + r*g and give r. 19 Express 49*o - 77*o + 50*o in the form d*o + z and give z. 0 Express (-v + 2*v + v)*(3 + 1 - 5)*(v**2 + 2 - 2) in the form b + y*v**2 + d*v + a*v**3 and give a. -2 Rearrange -6*z + 4*z - 13*z to the form g*z + q and give g. -15 Express (-4*v + 3*v + 2*v)*(-3*v + 2*v - 4*v)*(0 + 3 - 4) in the form n*v**2 + m*v + x and give n. 5 Express -11*n**2 - 1 - 1 - 10*n**2 - 7*n**3 + 5*n**3 in the form z*n + a*n**3 + h + i*n**2 and give h. -2 Express 8*s - 13*s - 3*s + 3*s**2 in the form c*s**2 + y + n*s and give c. 3 Express 24*q**3 - 43*q**3 + 2*q**2 + 21*q**3 in the form a + o*q**3 + m*q + z*q**2 and give o. 2 Express 121*r**2 - r**3 - 245*r**2 - 10 + 127*r**2 in the form g*r + i*r**3 + z*r**2 + s and give i. -1 Rearrange (12*f**3 + f**3 - 28*f**3)*(0*f + 4*f - 3*f) to the form x*f**3 + d + l*f**2 + m*f + o*f**4 and give o. -15 Rearrange 49*p**4 + p**3 + 7*p**3 + 1 - 4*p**3 - 50*p**4 - 4*p to the form k*p**3 + z*p**2 + a*p + n*p**4 + t and give n. -1 Express 6*q**2 + 4*q**2 - 2 - 3*q**2 + q**3 + q**3 as k + u*q**3 + h*q + t*q**2 and give u. 2 Express -38*j + 10*j + 14*j - 42*j in the form x*j + n and give x. -56 Express (4*j**4 - 2*j**4 - 3*j**4)*(-2 + 0 + 4)*(-30 + 3 - 60) in the form v*j**3 + m + p*j + l*j**4 + u*j**2 and give l. 174 Express 0*z**2 + z**2 + 0*z**2 - z in the form b + g*z + x*z**2 and give x. 1 Rearrange -3*w**3 + w**3 + 0*w**3 + 15 - 3 to the form p*w**2 + o*w**3 + y*w + g and give o. -2 Express -3*v + 2*v**4 - 3 - 3*v**4 + 7*v as j + m*v**2 + n*v**3 + u*v + a*v**4 and give m. 0 Rearrange 6*g**2 + 10*g**2 - 12*g**2 - 2*g + 9 to the form q*g + p*g**2 + s and give s. 9 Express -3*o - 5*o + 0*o - o + 2*o - 3*o + (-o + 4*o - 4*o)*(0 - 5 + 4) + 3*o - 5*o - o + o - 2*o - o in the form j*o + s and give j. -14 Rearrange (-3*f + 4*f - 2*f)*(-30 - 3 + 3)*(0 + 3 - 4) to the form z + a*f and give z. 0 Rearrange 5*y**2 + 3*y**2 - 6*y**2 - 1 - 6 to the form l*y + t*y**2 + s and give l. 0 Express (0*r**2
{ "pile_set_name": "DM Mathematics" }
Determine -12*o(c) - 5*y(c). -2*c**3 - 136*c - 6 Let o(g) = 28*g**3 + 31*g**2 + 110. Let n(m) = 3*m**3 + 3*m**2 + 11. Calculate -62*n(t) + 6*o(t). -18*t**3 - 22 Let j(f) = 7*f - 40. Let i be j(6). Suppose 0 = t + 2 + i. Let k(h) = -6*h**2 - 5*h - 2. Let q(g) = -11*g**2 - 9*g - 4. Give t*q(v) + 7*k(v). 2*v**2 + v + 2 Let q(u) = -81*u**3 + 11*u**2 - 766. Let r(s) = -16*s**3 + 2*s**2 - 153. Determine -2*q(h) + 11*r(h). -14*h**3 - 151 Let s(r) = 2*r**3 - 3*r**2 - r + 1. Let h(q) = -1 + q**2 + 706203*q**3 + 2*q - 706204*q**3 - 2*q. Calculate -6*h(w) - 2*s(w). 2*w**3 + 2*w + 4 Let q(p) = 81*p + 1598. Let t(v) = -224*v - 4792. Calculate -11*q(o) - 4*t(o). 5*o + 1590 Let w(s) = -19*s**3 + 4*s**2 + 6*s - 16. Let i(c) = 58*c**3 - 12*c**2 - 21*c + 47. Give 2*i(x) + 7*w(x). -17*x**3 + 4*x**2 - 18 Let c(d) = -7*d**3 + 8*d**2 + 565*d + 1. Let y(x) = 2*x**3 - 2*x**2 + 8*x. Calculate -c(t) - 4*y(t). -t**3 - 597*t - 1 Let w(l) = -27*l + 2752. Let i(z) = 10*z - 918. Determine -8*i(y) - 3*w(y). y - 912 Let x(p) = -6*p**2 + 3. Suppose 23 = f - 5*i, 0 = -2*f - 4*i - 7 - 3. Let o(l) = -74*l**2 + 0 + 0 - 5 + 85*l**2. What is f*o(d) + 5*x(d)? 3*d**2 Let c(p) = 5*p**3 - 11*p. Let l be 14/4*(-158)/553. Let s(v) = v**3. Calculate l*c(o) + 3*s(o). -2*o**3 + 11*o Let g(c) = -6*c - 194. Let u(o) = -12*o - 328. Let m(t) = -7*g(t) + 4*u(t). Let l(w) = -17*w + 137. Calculate -4*l(a) + 11*m(a). 2*a - 42 Let l(a) = -7*a**2 - 4. Let f be (-180)/(-81) + -5 + 2/(-9). Let m be 2*(-4 + f + 4). Let j(d) = -d**2. What is m*j(t) + l(t)? -t**2 - 4 Let r(c) = 11*c**3 + 6*c**2 + 9. Let g = -199 + 229. Let y(t) = t**2 - 35*t + 148. Let i be y(g). Let d(b) = 5*b**3 + 3*b**2 + 4. What is i*r(k) + 5*d(k)? 3*k**3 + 3*k**2 + 2 Let s(l) = -15*l**2 - 11. Suppose -2*h + 8*q = 4*q + 20, -4*q = h - 8. Let g(p) = -p**2 - 1. Give h*s(a) + 44*g(a). 16*a**2 Suppose 31 = -384*f + 415*f. Let v(q) = q**3 - 3*q**2 - 8*q. Let s(z) = -z**2 + z. Determine f*v(y) - 3*s(y). y**3 - 11*y Let j(m) = -9156*m**2 - 15*m + 3. Let g(n) = -3790585*n**2 - 6215*n + 1243. Calculate 3*g(a) - 1243*j(a). 9153*a**2 Let w(s) = -3*s**2 - 24*s + 71. Let v(d) = d**2 + 2*d - 9. Calculate 4*v(h) + w(h). h**2 - 16*h + 35 Let p(z) = -3*z**3 - z**2 + 3*z. Let k(b) = 11*b**3 + 3*b**2 + 29*b + 2. Calculate k(i) + 2*p(i). 5*i**3 + i**2 + 35*i + 2 Let r(g) = -1066*g + 15. Let j(u) = 236645*u - 3325. Determine -3*j(l) - 665*r(l). -1045*l Let m(j) = -35*j**2 + 20*j - 221. Let d(z) = 73*z**2 - 44*z + 440. Determine -5*d(v) - 11*m(v). 20*v**2 + 231 Let c(i) = -2*i - 1. Let r(q) = -11*q - 284. Calculate -6*c(m) + r(m). m - 278 Let h(c) = 78*c - 153*c - 2 + 70*c. Let v(u) be the second derivative of 5*u**3/6 + u**2 + 37*u. What is -3*h(n) - 2*v(n)? 5*n + 2 Let o(v) = 1611*v - 2. Let l(w) = 4836*w - 7. Give 2*l(f) - 7*o(f). -1605*f Let g(u) = -u**3 + u**2 + u - 1. Suppose 6*v - 189 = -159. Let k(h) = 6*h**3 - 6*h**2 - 5*h + 6. Calculate v*g(c) + k(c). c**3 - c**2 + 1 Let t(k) = -k. Let p(n) = -3*n**2 + 3*n. Let v = 342 - 322. Let m = v - 22. Suppose -4*w + 5 = -9*w. What is m*t(a) + w*p(a)? 3*a**2 - a Let h(p) = 20*p**2 + 5*p - 103. Let y(j) = 29*j**2 + 6*j - 100. Calculate 3*h(x) - 2*y(x). 2*x**2 + 3*x - 109 Suppose -8*b = -6*b - 18. Let h(y) = 185*y - 182*y + 3 - b. Let u(f) = -f + 2. Determine 2*h(j) + 7*u(j). -j + 2 Let m(i) = -362*i**3 - 6*i**2 + 17*i + 28. Let c(y) = 121*y**3 + 2*y**2 - 5*y - 8. Give 7*c(v) + 2*m(v). 123*v**3 + 2*v**2 - v Let m(b) = 4383*b**2 - 4*b + 6. Let t(q) = -4382*q**2 + 3*q - 5. What is -3*m(g) - 4*t(g)? 4379*g**2 + 2 Suppose -62 + 17 = -9*j. Suppose -20 - 34 = -9*t. Let u(n) = -4*n + 2. Let b(f) = 4 - 3 + 5*f - 3. Calculate j*b(r) + t*u(r). r + 2 Let g(s) = -21*s**2 - 38*s - 11. Let t(o) = -19*o**2 - 41*o - 8. Calculate 3*g(m) - 4*t(m). 13*m**2 + 50*m - 1 Let w(r) = 18*r**3 + 80*r**2 + 45. Let x(f) = 4*f**3 + 16*f**2 + 8. Determine -2*w(h) + 11*x(h). 8*h**3 + 16*h**2 - 2 Let i(a) = 3*a - 4. Let j(k) be the first derivative of k**2 - 2*k + 184. What is 2*i(q) - 5*j(q)? -4*q + 2 Let r(g) = 26137*g**2 - 118*g - 59. Let v(c) = 2178*c**2 - 10*c - 5. Give 5*r(w) - 59*v(w). 2183*w**2 Let w(d) = -7*d**3 + d**2 - 8*d - 2. Let j(a) = 6*a**3 - a**2 + 7*a + 1. Suppose 15 = 5*i, 3*b = -4*i - 25 + 49. Determine b*w(u) + 5*j(u). 2*u**3 - u**2 + 3*u - 3 Let t(v) = v + 5. Let w(i) be the first derivative of 184 + 2*i + 1/2*i**2. Give 3*t(k) - 5*w(k). -2*k + 5 Let p(v) = 2*v + 1. Suppose 125 + 42 = -52*z - 301. Let s(g) = -8*g - 5. Give z*p(u) - 2*s(u). -2*u + 1 Let z(d) = 9*d - 7. Let r = 74917 - 74931. Let p(a) = -3*a - 2. Let c(q) = -5*q - 4. Let g(s) = 6*c(s) - 11*p(s). Determine r*g(x) + 4*z(x). -6*x Let s(l) = -11*l**2 + l - 13. Let m(q) = 16*q**2 - q + 19. Let x(v) = v**3 - 13*v**2 - 32*v + 1. Let n be x(-2). Give n*m(h) + 7*s(h). 3*h**2 + 2*h + 4 Let y(g) = 4*g**3 + 2. Let b(h) = h + 4. Let r be b(-3). Let c(m) be the first derivative of -m**4/4 + m**2/2 - m - 407. Determine r*y(x) + 2*c(x). 2*x**3 + 2*x Let u(j) = -2*j + 11. Suppose 0 = -10*w - 170 + 140. Let i(q) = -7*q + 1. Let f(g) = 9*g - 1. Let p(y) = w*f(y) - 4*i(y). Calculate 4*p(n) + u(n). 2*n + 7 Let l(x) = -3. Suppose 5*t + 0*t - 40 = -5*n, 5*t - 39 = -4*n. Let y(g) = -19 + t + 119*g - 115*g. Calculate 12*l(d) - 3*y(d). -12*d Let u(x) = x**2 - x - 1. Suppose -690*b + 673*b = 218 + 122. Let h(y) = 40*y**3 - 20*y**2 + 20*y + 20. What is b*u(a) - h(a)? -40*a**3 Suppose 2*q + 3074 = 452. Let z = -1306 - q. Let o(c) = -5*c + 4*c + 5*c. Let y(w) = 5*w. Give z*y(p) - 6*o(p). p Let u(d) = 564928*d**3 - 1455*d**2. Let l(t) = -1552*t**3 + 4*t**2. Calculate 1455*l(f) + 4*u(f). 1552*f**3 Let m(u) be the first derivative of -u**2/2 + 8. Let a(g) = 97*g - 160*g + 84*g. Let h(b) = -5*b. Let c(q) = 2*a(q) + 9*h(q). Determine -2*c(w) + 5*m(w). w Let b(c) = 2*c**3 + 15*c. Let s(m) = -8*m - m**3 + 1047032*m**2 - 1047032*m**2. Calculate 3*b(o) + 7*s(o). -o**3 - 11*o Let m(g) = 2*g**2 + g + 4. Suppose 0 = 17*c - 2*c + 3540. Let i = c + 241. Let v(l) = l**2 + l + 2. Give i*v(x) - 3*m(x). -x**2 + 2*x - 2 Let d(q) = 3*q**2 - 7*q**2 + 8 + 1 - 16 + 3*q**2 + 6. Let h(j) = -j**3 + 5*j**2 + 6. Suppose 0 = -5*k + 2*i, 2*k + i = -k - 11. Calculate k*h(p) - 10*d(p). 2*p**3 - 2 Let g = 51 + -16. Let v be (-6)/((-18)/216*-24). Let y(q) = 84*q**2 - 35*q. Let h(d) = 7*d**2 - 3*d. What is g*h(w) + v*y(w)? -7*w**2 Let o(z) = -13*z**2 - 103*z + 10. Let a be o(-8). Let c(b) = -30*b**2 - 4*b. Let g(w) = -w - 3*w**2 - 7*w**2 + 2 - 2. Calculate a*c(m) - 7*g(m). 10*m**2 - m Let a(d) = 11*d - 422694430 + 422694430. Let r be (1/(-3))/(5/(-75)). Let u(o) = -12*o. Give r*u(v) + 6*a(v). 6*v Let t(k) = -k**2 + 4*k. Let q be t(5). Let i = -8244 - -8250. Let g(h) = h**2 - h - 2. Let b(o) = o**2 - o - 2. What is i*b(u) + q*g(u)? u**2 - u - 2 Let v(u) = 5*u**2 + 3*u + 1096. Let i(h) = 6*h**2 + 4*h + 1087. Give -3*i(z) + 4*v(z). 2*z**2 + 1123 Let f(y) = 2*y - 2. Let k(a) = -7*a + 6. Suppose 0 = 2*o + t - 32 - 5, -5*o = -t - 82. Suppose 104 = -o*b + 4*b. Give b*f(l) - 3*k(l). 5*l - 2 Let d(f) be the third derivative of f**6/120 - f**4/24 - 35*f**2. Suppose -56 - 40 = -24*t. Let v(g) = -g**3 + 2*g. Give t*v(w) + 5*d(w). w**3 + 3*w Let u be (-14)/4*28/(-147)*3. Let b(p) = -27*p**3 - 4*p + 4. Let j(t) = t**2 + t - 1. Calculate u*j(g) + b(g). -27*g**3 + 2*g**2 - 2*g + 2 Let p(w) = -w**3 - w + 1. Let a(l) = -554*l**3 + 17*l - 4. What is -a(y) - 4*p(y)? 558*y**3 - 13*y Let l(b) = b**2 + 2*b - 1. Let i be (-26)/4 + (406/28 - 10). Let y(t) = -2*t**2 - 7*t + 3. Give i*y(d) - 7*l(d). -3*d**2 + 1 Let r(d) = 9*d**2 - 10*d - 7. Let o(i) = -i - 2. Give 6*o(t) - r(t). -9*t**2 + 4*t - 5 Let l(j) = 1106*j**2 - 350*j + 49. Let k(f) = -46*f**2 + 15*f - 2. Give 49*k(z) + 2*l(z). -42*z**2 + 35*z Let n(b) = -50*b**2 - 3*b + 3. Let m(c) be the second derivative of 3901*c**4/12 + 235*c**3/6 - 235*c**2/2 - 2793*c. Determine 3*m(a) + 235*n(a). -47*a**2 Let q be 2 + 1 + 22/11. Let g(a) = -a - 1. Let z(n) = -1. Let k = -12 + 19. Suppose k = -l - 5*j + 26, -5*l + 5*j = 25. Calculate l*g(i) + q*z(i). i - 4 Let f(t) = 16*t**2 + 4*t + 4. Suppose 3375*d - 3349*d + 78 = 0. Let n(m) = -m - 1. What is d*f(x) - 12*n(x)? -48*x**2 Let v(m) = -34*m - 7021. Let u be v(-206). Let r(i) be the first derivative of -3*i**2/2 + 38*i - 2. Let z(x) = x - 13. Calcu
{ "pile_set_name": "DM Mathematics" }